{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-3, 10, -2, 2, -7],\n [-2, 6, 1, 6, -9],\n [-6, 3, -4, 4, -4],\n [8, -4, -10, -8, -6]]\nB =\n[[7, 3, -9, -9],\n [0, -10, -6, 8],\n [-7, -8, 10, -5],\n [0, 3, -7, -2],\n [5, 8, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 0, -6, 6, -3],\n [-8, 1, -3, -5, 2, 9],\n [-4, 8, 1, 6, -4, -1],\n [-10, 6, -4, -3, 5, -6]]\nB =\n[[-3, -2, 7, 3, 5, 2],\n [1, 9, -2, -10, 0, 6],\n [0, -4, -4, 4, -7, -9],\n [-7, 3, 2, -2, 0, -10],\n [-2, -2, 8, -10, -6, 9],\n [8, 1, -10, 5, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -5, 5, 3],\n [-9, -1, -10, -10],\n [6, 3, 5, -7],\n [-3, 1, -7, 1],\n [-8, -4, -8, 7]]\nB =\n[[-3, 0, 6, 0, -3],\n [-5, 9, -10, 8, -2],\n [-8, -9, -1, -2, 6],\n [-1, -4, 10, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -5, 8, -1, 9],\n [6, 1, 1, -5, 2],\n [2, 1, -7, -2, -1],\n [-4, 9, -5, 10, -3]]\nB =\n[[6, -7, 10, -3, 4],\n [3, 2, 8, 2, 6],\n [5, -9, -6, -6, 10],\n [-3, 4, -10, -4, -3],\n [7, 5, -5, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, -3, 10, 9],\n [10, 1, 0, -4, 5],\n [1, -8, 1, 6, -5],\n [4, -6, 3, 2, -1],\n [-3, 5, 2, 6, 9]]\nB =\n[[-6, 5, 3, 1, -5, 9],\n [6, 3, 4, -5, -4, -4],\n [6, -5, 3, 4, -3, 7],\n [-7, 9, 9, 1, -10, -10],\n [-5, 4, -1, -6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -3, -10, -6, -1, -6],\n [1, 2, -10, 10, -7, -1],\n [8, 7, 5, -9, -1, -7],\n [-7, -4, 8, -10, 10, -5],\n [-10, -1, 8, 10, 8, -9]]\nB =\n[[10, -7, -3, 4, 2, -2],\n [-9, -6, 8, 6, 5, 7],\n [-7, 0, -2, 3, -10, -1],\n [8, 0, -4, -7, -7, -7],\n [9, 4, -7, 6, -6, -4],\n [-7, 3, 1, -8, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2353", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[7, 4, 3, 5, 0],\n [7, 7, -6, -4, 6],\n [-7, 5, -1, 0, -5],\n [7, 10, -10, 3, -8],\n [-5, 9, 0, 0, 8],\n [8, 9, -8, 8, 2]]\nB =\n[[6, 5, 8, 7],\n [5, 3, 2, 10],\n [10, 1, -5, -4],\n [5, 10, -5, -9],\n [6, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -3, 2, 6],\n [-3, -5, -6, 10],\n [-7, 9, -4, -9],\n [8, -3, -7, 4],\n [-4, -8, 6, 4],\n [-6, 3, 9, -4]]\nB =\n[[8, -9, -10, 5, -10, 10],\n [8, -1, -4, -4, -6, -7],\n [-10, -1, 5, 6, -6, -4],\n [6, -6, 8, -10, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 2, 1, -7, -3, 5],\n [-7, 10, -5, 6, -5, -2],\n [7, 7, 4, 2, 9, 10],\n [-6, 0, 2, -6, 8, 1],\n [3, 3, -7, -7, -10, 3]]\nB =\n[[2, -5, -5, -4],\n [3, 5, -9, -10],\n [4, -2, -7, -6],\n [9, -9, 2, 6],\n [2, 6, -6, 3],\n [-1, -8, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-3, 8, 0, -4, -4, 10],\n [3, -7, 4, -5, -6, 6],\n [-9, -9, -8, 7, 2, 1],\n [8, -10, 6, -4, -10, 4],\n [-2, -2, 3, 3, 3, 8]]\nB =\n[[-5, -7, 1, 3, -10, -3],\n [-4, 2, 10, 0, 4, 5],\n [7, 4, -6, 0, -9, 1],\n [-10, 9, -9, -1, -8, 0],\n [-1, 2, 7, 2, -6, 6],\n [-7, 6, -8, -2, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, 9, 7, -5],\n [9, 1, -2, 9, 8],\n [0, -3, -8, 1, 5],\n [7, -7, 0, 8, -5],\n [2, 10, 2, 6, -1]]\nB =\n[[-5, 10, 1, 10],\n [-1, -4, 5, 9],\n [4, 9, 3, -8],\n [-7, 10, 0, 10],\n [9, -7, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -3, 2, -3],\n [5, -6, -8, -1, -10],\n [-4, -8, 5, -9, 10],\n [-10, -5, 2, -2, -8],\n [0, -6, 2, 6, -3],\n [-1, 3, 3, 4, 10]]\nB =\n[[-8, 10, 9, 0],\n [6, -3, 7, -2],\n [-10, 6, -8, -3],\n [2, 2, -10, -6],\n [-10, -5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, 0, -4, 3, 6],\n [2, 0, 5, 4, 5, -9],\n [0, 7, 2, 1, 5, 6],\n [-1, -6, -5, -1, -7, 3],\n [-2, 7, 9, -5, 2, 1]]\nB =\n[[-1, 5, -8, -2],\n [8, 9, -1, 6],\n [4, 8, 0, 0],\n [4, -5, -6, 10],\n [9, 8, -6, 10],\n [-3, 3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "528", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -6, -4, 8, 1, 2],\n [-3, -7, -3, 4, 10, 4],\n [-6, 10, -8, -4, -4, 5],\n [6, 7, -4, -10, -10, 3]]\nB =\n[[8, -7, -9, -3],\n [-1, 5, 8, -5],\n [-10, -2, 9, 9],\n [-5, 7, -4, 2],\n [3, -4, 0, 8],\n [-1, -1, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, -4, -1, -4, 7],\n [0, -1, 9, 1, 1, 3],\n [0, -2, 7, -8, 4, -1],\n [0, -4, -7, 2, 8, 2],\n [0, -6, -1, -6, 8, -4],\n [6, -2, -7, 6, -9, -2]]\nB =\n[[9, -9, -10, 2],\n [3, -5, 0, -6],\n [8, -2, -1, 8],\n [8, -5, 2, 10],\n [1, 6, 0, -4],\n [-2, -2, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, 2, -10, -5],\n [4, -2, -9, 10, -5],\n [5, -5, 4, -4, 10],\n [-9, -4, 0, -10, -2],\n [-7, -7, -7, 3, 7],\n [6, -6, -9, 1, 7]]\nB =\n[[-8, 2, -9, -3, -2],\n [10, 1, -8, 10, 5],\n [8, -3, 6, 8, 0],\n [5, -8, 5, 4, -6],\n [7, 4, 4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 5, 8, 3, 4],\n [2, 3, 4, 0, 1, 6],\n [-10, -1, 3, 8, 6, -1],\n [-7, -2, -8, -9, -10, 0],\n [-8, -10, -10, 6, 7, 7]]\nB =\n[[-2, -10, 9, 9],\n [-7, 2, 9, -7],\n [-4, -10, 4, -4],\n [-4, 7, -1, -4],\n [-5, -2, 2, 2],\n [-1, 4, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[8, -9, 5, 7],\n [-7, 8, 1, 7],\n [-6, -4, 4, -3],\n [6, 1, 8, -4],\n [10, -5, -9, 9],\n [-3, -3, 7, -7]]\nB =\n[[-6, -4, -1, 5, -6],\n [0, -8, -7, 4, -3],\n [6, 5, 1, -3, -7],\n [-7, -3, -10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 9, 7, 8],\n [7, -7, 9, 0],\n [5, 4, -4, -8],\n [0, 2, 5, 3],\n [1, -5, -10, -7],\n [7, -8, -6, -2]]\nB =\n[[-3, 6, 10, 2, -5],\n [-2, 5, -9, 1, -6],\n [9, 5, -10, 7, 9],\n [-2, 2, -6, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2057", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-5, 2, -9, 10],\n [2, 8, -7, -4],\n [8, -8, -1, -9],\n [-6, -2, -3, -2]]\nB =\n[[9, 9, -7, -3],\n [-3, -10, 10, -8],\n [9, -4, 4, -4],\n [5, -3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[8, 0, -8, 10],\n [3, -6, 2, -1],\n [10, 8, -9, 7],\n [10, -7, 3, -9],\n [-3, -7, -8, -3]]\nB =\n[[-8, -6, 3, -8, 4],\n [10, 2, -7, -4, -9],\n [10, -10, 0, -8, -9],\n [5, -9, -8, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, 2, 4, 10],\n [-8, 4, -8, -5, -2],\n [-2, -3, 3, -3, 9],\n [-3, 9, 5, 4, 8],\n [1, -8, 4, 4, 2],\n [2, 6, -2, 1, 2]]\nB =\n[[-7, 3, 8, 7, 2, 2],\n [-2, -9, -10, 0, 1, 5],\n [5, -7, 8, 1, 4, -1],\n [8, -4, 9, 2, 5, -5],\n [-2, -1, 9, -5, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-401", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, -8, 6, -8, -8],\n [-2, 5, 0, 5, -1, -5],\n [-10, -4, 5, 6, -6, 6],\n [7, -4, 3, -5, -8, 2]]\nB =\n[[5, 0, 4, 0],\n [3, -8, 7, -3],\n [1, -4, -2, 7],\n [1, -9, 0, -1],\n [-9, 8, -6, -1],\n [-10, -5, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "986", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -1, -3, 4, -9, -7],\n [-2, 4, -9, 5, 5, 2],\n [10, -8, 10, -8, 0, -7],\n [-2, 1, -6, -2, -4, -1],\n [-10, -10, -3, 6, 7, -9],\n [-5, 9, 4, -9, 3, -5]]\nB =\n[[8, -5, -2, 4, -10, -7],\n [2, -7, 0, -10, -3, 6],\n [-7, 9, 1, -8, 8, -6],\n [7, 1, -2, 3, 4, -1],\n [-6, -1, 1, 1, 10, -4],\n [-9, -3, -4, 3, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2232", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, 8, 10, 10, 10],\n [-5, 7, -4, 3, 2, 1],\n [-4, 3, 10, 1, 2, 7],\n [-5, -3, 2, 2, 3, -8]]\nB =\n[[-6, 1, 0, 3, 4, 9],\n [2, -2, -8, 10, -3, 4],\n [7, 2, 4, -4, -9, -7],\n [-1, -7, 2, 6, 3, -4],\n [-5, -10, 3, -3, -8, -1],\n [8, 6, 10, -9, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[7, -5, -10, -4, -9, -7],\n [10, -9, -6, -8, 1, 5],\n [7, 10, -6, -10, -2, 10],\n [9, 6, -6, 6, -5, 7]]\nB =\n[[-6, 3, 4, 9, -5],\n [0, -9, -2, 9, 5],\n [9, 10, 1, 5, -6],\n [-10, 2, -3, -7, -3],\n [-9, -7, 5, 3, -4],\n [0, -2, -3, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 4, -5, 6, -6],\n [-10, -8, -7, 3, 5],\n [-8, 5, 6, 4, 2],\n [4, -2, 9, -7, -2],\n [4, -7, -1, -9, 8],\n [6, 9, 7, 10, -5]]\nB =\n[[-4, 3, 4, -4],\n [7, -10, 8, -9],\n [3, 7, -4, 6],\n [-8, 10, -4, -10],\n [10, 0, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1279", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 2, 8, -1, 4],\n [5, 0, -5, 3, 10],\n [0, 0, 1, -9, -9],\n [4, 2, 2, 5, 1],\n [-2, -2, -5, 10, -7]]\nB =\n[[6, -4, 9, -3, 8, 7],\n [6, -4, 9, 8, 6, -9],\n [-1, -4, -3, 8, -3, 2],\n [3, 1, 4, 3, 2, -10],\n [-7, -7, 2, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -6, -1, -7, 9],\n [10, -6, 0, 10, -2],\n [8, -10, -3, -2, 7],\n [9, -1, 8, 7, 7],\n [2, -2, 10, -7, -7],\n [4, -1, -10, -2, -1]]\nB =\n[[4, 0, 10, -9, -2],\n [-6, 6, 1, -8, -9],\n [-5, 10, 6, 3, 0],\n [-7, 7, -1, 2, 9],\n [-6, 8, -6, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 7, 5, -8, -3, -10],\n [-4, -4, 9, -10, -9, -6],\n [7, -4, -8, 8, 5, -1],\n [-5, 3, 2, 10, 6, -5]]\nB =\n[[9, -6, 0, -5],\n [-7, 9, 0, 0],\n [-3, 4, -6, -7],\n [-1, 8, 6, -8],\n [8, 5, -8, -6],\n [-10, -10, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1249", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, 6, -3, 7, 9, -3],\n [-8, 0, -1, -6, -5, -5],\n [0, 7, 7, 2, 0, -6],\n [1, -3, 4, -6, -2, -6]]\nB =\n[[8, 0, 6, -5, 1],\n [-1, 6, -10, -1, 2],\n [8, -10, -9, -4, 7],\n [-10, -9, 9, -4, 10],\n [4, -8, 9, 3, -7],\n [-3, -7, 7, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -8, -4, 9, 3],\n [-9, 5, 5, -5, -4],\n [-3, -6, 8, -4, 9],\n [3, 5, 3, 8, 10],\n [9, -5, 8, 7, 8]]\nB =\n[[3, -1, 2, 5, -1, -9],\n [1, 5, 2, 7, 4, 4],\n [10, 8, -10, 2, -1, -10],\n [-8, 0, 3, 10, -5, 9],\n [-7, 4, 1, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[0, -2, 3, 3, 0, -8],\n [-3, -4, 6, 7, 6, -10],\n [-3, -2, -7, 8, 3, 5],\n [7, 2, -3, 1, 2, 3],\n [1, 8, 6, 10, 8, -7],\n [7, 7, 9, 10, -6, 8]]\nB =\n[[-7, -8, -7, 0, 0],\n [10, -6, 8, -9, 5],\n [2, 10, -8, -5, -8],\n [1, 0, 10, -9, 1],\n [7, 9, -1, 0, -4],\n [9, 1, 5, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, -3, 2, 5],\n [-7, 2, 8, 8, 7],\n [8, -5, -5, 6, 0],\n [6, 10, 8, 5, 6],\n [-3, -1, -6, 8, 6],\n [-2, 7, 8, -5, -4]]\nB =\n[[2, -3, 3, 4],\n [-1, 8, 9, 0],\n [-9, -3, -2, 10],\n [-3, 9, -9, -4],\n [-2, 4, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-5, 9, 3, 7, -2, -8],\n [-2, 5, -3, 8, -4, 3],\n [-6, 9, 3, -3, 9, 1],\n [-6, -8, 2, 5, 4, 4],\n [-8, 4, -4, -2, -8, 4],\n [-1, 0, -6, 7, -8, -6]]\nB =\n[[3, 6, -10, 3, 9],\n [-2, 6, 4, -4, -9],\n [-9, 6, -5, -2, -9],\n [-2, 9, -5, 2, 7],\n [1, 0, -5, -3, -9],\n [5, -3, 9, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, 7, 7, -6],\n [-1, -2, 8, 1, -7],\n [4, -5, -7, 5, 1],\n [-3, 5, -4, 2, 1]]\nB =\n[[0, -8, 6, 3],\n [-5, -2, 5, -2],\n [4, 0, 6, 8],\n [-10, 1, -1, -1],\n [-3, 4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 4, 9, 8, -10, 3],\n [-3, -9, 8, -10, -7, -1],\n [-2, 8, 0, -10, 5, 10],\n [-3, -8, 1, -4, -5, 0],\n [-10, 3, 10, -1, -3, -10],\n [10, 8, 3, -6, -9, 4]]\nB =\n[[5, 5, -7, 7, -7],\n [4, 1, 0, 10, -10],\n [-7, -7, -6, -2, -5],\n [-7, -4, 3, 3, 7],\n [6, 9, -4, -5, -4],\n [4, 3, 3, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-902", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 4, 10, 10, -6, -6],\n [-10, -3, -10, 5, -4, -2],\n [4, 10, -8, 3, 7, -9],\n [-1, 9, -7, -7, 2, 10],\n [-9, -9, -4, -5, 9, -10],\n [-5, -6, 5, 10, -7, -7]]\nB =\n[[5, 2, 8, 7, 10, 0],\n [5, 3, -1, 2, -10, -10],\n [9, 9, 3, 0, 4, -9],\n [-1, 0, -10, 1, 6, -7],\n [-10, -6, -8, -4, 6, 0],\n [5, 1, 5, 6, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 2, -4, 6, -10, -10],\n [4, 10, -5, -1, 1, 2],\n [9, 0, 2, -4, 9, 6],\n [-2, 3, 7, -1, -4, 9]]\nB =\n[[-2, 6, 6, 3, 9],\n [-2, 9, 9, 7, -5],\n [9, 3, 3, 7, -9],\n [-2, 7, -9, 3, 1],\n [7, 1, 2, -9, -6],\n [4, 4, 7, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "825", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 5, 6, 1, -2, -9],\n [-2, 4, -5, 9, 6, 3],\n [1, 1, -10, -6, -3, -8],\n [1, -10, 5, -3, 3, -1]]\nB =\n[[2, -1, 8, 8, -2, 2],\n [-10, 10, 8, 9, -7, -8],\n [-5, 6, -5, 1, -6, 6],\n [9, -5, -8, -1, -1, 2],\n [2, -10, 4, -10, -3, 10],\n [-5, 8, 1, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1326", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, 0, 9, 4, 6],\n [3, -9, 8, 0, -6, 8],\n [4, -6, -4, -8, -6, -8],\n [0, 0, -4, -10, -4, -3],\n [-9, 9, -10, 10, 8, 4],\n [9, -1, -8, -1, -7, 7]]\nB =\n[[10, -5, -4, 7],\n [3, -6, 6, 8],\n [0, -4, -3, -9],\n [3, 3, 5, -5],\n [1, -8, 3, 6],\n [-2, -4, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-9, -9, 1, 10, -1],\n [3, -10, -10, -7, -8],\n [-10, 6, 2, 0, -2],\n [2, -10, -2, 0, -6],\n [8, 4, -5, 2, -9]]\nB =\n[[-3, -7, -9, 6, 2, 9],\n [8, -8, 6, 2, 2, -9],\n [-4, -6, 1, -1, -9, -8],\n [-9, 5, 5, -9, 9, 5],\n [-8, 6, 5, 8, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[6, 0, 5, -7],\n [-7, -9, -1, 9],\n [-5, 5, -3, -8],\n [-10, 10, -1, -7],\n [10, -7, -3, 3],\n [-7, 1, -8, 9]]\nB =\n[[6, -3, -10, -4, 7],\n [3, 10, 0, -2, 9],\n [9, 3, -2, -5, -9],\n [-3, 1, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[3, -10, 8, 2],\n [-3, 5, -5, 8],\n [-2, 9, 10, 9],\n [10, -7, -9, -7],\n [-9, 4, 10, -5],\n [1, 6, -4, -5]]\nB =\n[[9, -9, -10, -9, 9, -5],\n [-5, 9, 5, -4, 5, -8],\n [9, -9, -3, 1, -4, -10],\n [-1, 7, -7, 2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[3, 0, -4, 1, -10],\n [6, -2, -1, -2, -10],\n [10, -1, 5, 0, 9],\n [-7, 2, 8, 6, 5],\n [7, 4, 9, 1, -8]]\nB =\n[[5, -6, -7, -5, -4, -10],\n [3, -5, 4, 4, 2, 0],\n [2, -6, 3, 7, -10, -3],\n [-7, 0, -7, -7, 6, 5],\n [3, -4, 7, 8, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 10, 9, -3, 4, -9],\n [-6, -2, -8, -4, -5, -10],\n [9, 10, 8, 3, 6, -4],\n [10, 3, 6, 0, 3, -5],\n [0, 10, -1, 9, 9, 3]]\nB =\n[[-6, -7, 4, -2, 10],\n [-4, 6, -10, 8, -4],\n [-1, 4, 6, -9, 9],\n [9, -2, -2, -9, -10],\n [-9, 4, 5, 7, 0],\n [-1, 6, 8, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 10, -4, -9, 5],\n [9, -10, -2, 4, 8],\n [-9, 1, 1, -8, 1],\n [10, 6, -2, -1, -2]]\nB =\n[[4, 10, -8, -9, 0],\n [9, -10, 10, 0, 9],\n [-7, -1, -7, 9, 10],\n [8, 0, -10, 7, 10],\n [3, 1, 3, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1754", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 1, -3, 10, -3, -4],\n [10, -10, -1, -9, -3, 7],\n [-6, 1, -7, -3, 3, 5],\n [3, 0, -2, 5, -1, 1],\n [1, 4, 1, -8, 2, 5],\n [-10, 8, -8, -9, -6, 3]]\nB =\n[[-4, 10, 4, -1, -7, -3],\n [-3, 10, -6, 9, 10, 5],\n [-6, 8, -5, 1, 1, -4],\n [-8, -4, -6, -4, -1, -4],\n [7, 5, -10, 6, 3, 9],\n [-6, -1, 10, 10, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 6, 0, -3],\n [-6, 6, 10, 9],\n [9, 8, -3, -5],\n [2, 0, 3, 1],\n [-6, -10, -1, -7]]\nB =\n[[-1, -2, 3, 3, 2],\n [-8, 5, 6, 3, 8],\n [-4, -5, 5, -1, 0],\n [-10, 3, 0, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -4, 9, -8, 1],\n [-3, 6, -6, 10, -10],\n [1, -6, -6, 10, -7],\n [-6, -3, 9, 4, 5]]\nB =\n[[7, -3, 6, -7, -5],\n [10, -2, 5, 6, -1],\n [7, -9, 2, 2, -10],\n [5, 5, -7, 5, 4],\n [3, 1, 8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -10, 8, 8, -2],\n [10, -10, 2, 7, 10],\n [-7, 6, -2, -3, 4],\n [7, 2, 10, 9, 3],\n [5, -4, 9, 0, 2]]\nB =\n[[3, 4, -4, 9, -6, -9],\n [3, 0, 9, -4, 6, -10],\n [3, 10, 10, 3, 5, -5],\n [-4, -5, 9, -2, -3, 0],\n [10, 4, -5, 10, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -5, -3, -8, 9, 4],\n [1, 2, -5, -3, -1, 6],\n [8, -6, 6, 8, 7, -3],\n [2, 1, 4, 6, 4, -4],\n [-4, 2, 7, -5, -10, 6],\n [-2, -10, -2, -9, -8, -3]]\nB =\n[[-4, 1, 6, 10, 6, 3],\n [-9, -3, 3, 6, 8, 3],\n [-5, -2, 1, 9, -3, 3],\n [0, 5, 3, -7, 8, -1],\n [-7, 3, 0, -8, 4, 5],\n [-4, -7, 9, -5, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 2, -7, -6],\n [2, -4, 6, 3],\n [0, 2, 8, 5],\n [5, 8, 0, 7]]\nB =\n[[4, 9, 5, 3, 5, 9],\n [-10, 2, 0, -4, -9, 10],\n [-4, 4, 10, 8, 1, -6],\n [-1, -4, 9, -9, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1422", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, 8, -1, 6, 5],\n [10, -4, 8, 5, -1, -9],\n [-3, -7, 7, -5, 7, -10],\n [-10, 2, 3, 10, 7, 7],\n [0, -1, 4, 10, 5, 2]]\nB =\n[[3, -2, -2, -2, 2],\n [-8, -1, -2, -8, -9],\n [-2, 0, 5, -7, -8],\n [4, 0, -5, -4, -1],\n [-2, 7, -3, 7, 6],\n [7, 0, -9, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 6, 8, 8],\n [2, 6, -5, -6],\n [-8, -2, 9, -4],\n [9, -2, -5, -10]]\nB =\n[[5, -4, 1, -4],\n [-10, -3, -4, 10],\n [-5, 6, 5, 3],\n [9, -3, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -1, 0, -2],\n [9, 1, 0, -2],\n [2, 8, 2, 9],\n [10, -10, 0, -9],\n [-9, 3, -6, 0]]\nB =\n[[6, -5, -4, -9, -8],\n [-5, -6, -2, -5, -10],\n [-2, -4, -10, -6, 4],\n [-5, -1, -7, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -3, 6, -7],\n [3, -7, 4, -10],\n [5, 1, 0, 9],\n [-6, -10, -9, -8],\n [-2, -1, 8, -8]]\nB =\n[[-3, -3, -10, -4, 9],\n [-2, -8, -7, 7, 0],\n [-5, -5, 5, 6, 5],\n [-5, -3, 5, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -1, 0, 7],\n [-10, -7, -4, -3],\n [6, -9, 0, 1],\n [-7, 6, 6, -6],\n [-3, -5, 5, 0]]\nB =\n[[-1, 1, 2, 4, 0],\n [10, 3, 6, 4, 9],\n [9, -1, -4, 7, -8],\n [-3, -6, 2, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[4, 9, -5, -1, -2],\n [1, -8, 2, -9, 3],\n [4, -6, -7, -5, 1],\n [6, -8, 1, -3, -1],\n [0, 4, -9, -5, -10],\n [-10, 0, -4, -6, -3]]\nB =\n[[-4, 7, 0, 8, 3, 2],\n [-2, -9, 8, 2, -8, -2],\n [-9, -10, -9, -9, -10, -9],\n [8, 10, 4, 3, 1, 7],\n [2, -6, -1, -10, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 8, -9, 2],\n [2, -1, 10, 7],\n [5, 10, -6, 3],\n [6, 6, 6, -2],\n [-4, 2, 8, 1]]\nB =\n[[10, -4, -10, 4, 7, 1],\n [4, -3, -6, 4, 4, 2],\n [1, -1, -4, 0, 7, -5],\n [10, 6, 7, -2, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1681", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, -2, -6, 6, 0],\n [-6, 4, -8, -6, -10, 6],\n [4, -3, 2, 3, -7, -9],\n [9, -5, -9, 10, -8, 2]]\nB =\n[[1, -4, 8, -5, -8],\n [-8, -5, -7, -4, -1],\n [2, 1, 5, 3, -2],\n [-8, 8, 4, -2, -4],\n [-8, 6, -4, -5, -8],\n [4, -8, -1, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -5, -5, 0, 7],\n [9, -1, 4, 5, -5],\n [9, -2, 5, 10, 0],\n [9, 9, -7, 10, 9],\n [2, 8, -7, -1, 0],\n [2, -1, -5, -7, -8]]\nB =\n[[9, 3, -6, 3, 0, 9],\n [-4, 2, -2, 4, 1, 5],\n [10, -1, -3, -9, 3, 5],\n [0, 9, 0, 0, 8, 6],\n [-6, -8, -10, 0, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -9, -6, -5, 6],\n [10, 1, -1, -5, 7],\n [-4, -5, 8, -9, -2],\n [-8, 0, -7, 7, 5],\n [10, -5, 9, 7, 10]]\nB =\n[[-3, -10, 1, 1, -7, -1],\n [1, 1, 9, 2, -2, 9],\n [-8, -6, 5, -4, 10, 6],\n [6, -6, -5, -1, 2, 5],\n [-1, -8, 3, -9, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-947", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 6, 0, -6],\n [3, 2, -1, -2],\n [-4, 8, -8, 4],\n [4, -3, 4, 8]]\nB =\n[[-4, 0, 5, -7, 6, -3],\n [7, -9, -1, -7, -1, 8],\n [1, 8, 2, 2, 6, -6],\n [-10, 7, 6, -9, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-8, 3, 10, 5, 6, -4],\n [9, -8, -6, 5, -1, 3],\n [-7, -5, -6, 6, 5, -8],\n [7, -1, 10, -6, -4, -7],\n [-5, -1, -4, -10, -3, -6],\n [4, -7, 9, -4, 9, 4]]\nB =\n[[8, 8, 2, 1, -2],\n [9, -6, 0, -7, -9],\n [7, -2, -7, -3, 0],\n [8, 5, 7, -9, -6],\n [6, 8, 5, 3, 5],\n [7, -4, 10, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, 9, -5, 9, -5, -2],\n [5, 6, -7, 4, 2, 9],\n [-1, -1, 7, -3, -7, 10],\n [7, 8, 9, 5, 3, 2],\n [-10, 3, -1, -7, -1, 6],\n [10, 0, -10, 1, -1, -3]]\nB =\n[[9, 3, -8, -6, 8, -2],\n [-9, 8, -7, -3, 5, -8],\n [0, -9, -1, 4, -5, 4],\n [-7, -6, -3, 5, 4, 3],\n [9, 5, 10, -6, 0, -6],\n [7, 3, -8, 3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 2, -7, 4],\n [7, -5, -7, -2],\n [-2, 4, -2, -5],\n [-2, -3, 0, 0],\n [-2, -7, -8, -2]]\nB =\n[[-6, 10, -3, -5, -8],\n [3, -8, -4, 7, -2],\n [-2, 8, -3, -7, -1],\n [-1, -5, -2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -6, 6],\n [9, 1, -4, 5],\n [6, 2, -5, 3],\n [-7, 4, 3, 7]]\nB =\n[[-2, -7, 0, -10],\n [-4, -10, 7, 4],\n [-9, 10, -2, 8],\n [-2, -2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -5, -6, -5, 6],\n [-5, -1, -6, -6, 0],\n [0, 2, 5, -10, 8],\n [6, 8, 6, 5, 3],\n [8, 2, -6, 8, 6],\n [0, -2, -4, 8, -4]]\nB =\n[[-5, -10, -8, -4, 1],\n [-1, 8, -9, 10, 7],\n [8, 9, 9, -2, -6],\n [-6, -3, 1, -6, 2],\n [-3, -10, 6, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-775", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -10, -5, -2, 7],\n [-6, -6, -6, 7, -10],\n [7, 1, 5, 8, 7],\n [-10, -4, 4, -7, 2]]\nB =\n[[2, -7, 0, 6],\n [-3, 1, 6, 0],\n [6, 3, -1, 8],\n [4, -1, 10, -3],\n [-10, 5, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -5, -9, -9, 8, 3],\n [5, 4, -3, -9, 9, 7],\n [-9, -1, -7, 4, 0, -5],\n [4, -5, 6, -9, -10, -1],\n [1, 4, -6, 9, 10, -7]]\nB =\n[[-2, 8, 9, -8, -6],\n [0, -2, -6, -9, -6],\n [-6, 3, 8, 8, -1],\n [5, 4, -3, -6, -6],\n [8, 3, 6, -8, 6],\n [3, 4, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1983", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-1, 0, -5, 7, 7, -10],\n [3, 2, -2, -2, -9, -5],\n [4, -7, -10, -5, 9, -3],\n [-5, -5, 2, 8, -4, -8],\n [-8, -1, 2, -10, 2, 8]]\nB =\n[[0, -8, 0, -7, -9, -5],\n [-10, -8, 0, 3, 1, -8],\n [1, 2, -9, 5, -7, -10],\n [-8, 0, -2, 5, 7, 3],\n [9, 8, 7, -10, 5, 6],\n [10, 1, -5, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -3, 4],\n [-8, 5, 8, -7],\n [-1, 6, -3, -5],\n [10, -2, 1, 7],\n [-3, 9, -1, 1]]\nB =\n[[9, -8, -2, -5, 2],\n [6, -6, -5, 8, -5],\n [5, 6, -1, 6, 2],\n [4, 3, -10, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-2, 1, -2, 9, -5],\n [-1, -9, 10, 9, 5],\n [10, 5, 10, 6, -7],\n [7, 6, -1, -4, -3],\n [-8, 9, 1, 3, -7],\n [10, 3, 5, 2, 0]]\nB =\n[[-2, 7, 8, 9, 8],\n [-1, -5, 5, 2, 10],\n [-3, -5, -9, -1, 7],\n [1, 9, -6, 9, -10],\n [-3, -2, -6, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -4, 2, -6],\n [8, 6, -10, 2, -7],\n [-7, -8, 0, -6, -10],\n [-9, -1, 5, 7, -10]]\nB =\n[[2, -2, 9, 7, -2],\n [-7, -6, -3, 8, 8],\n [10, -5, -6, -1, 0],\n [4, 9, -3, -7, 0],\n [5, -6, -4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[9, 4, -9, -6, 10],\n [10, 1, -4, 7, 7],\n [-7, -4, -1, -5, 6],\n [-10, 6, 8, 1, 7],\n [10, -10, -4, 7, 7]]\nB =\n[[9, -4, 8, 1, -4],\n [-2, -2, 7, 10, 7],\n [2, -3, -3, 9, 6],\n [4, -4, -4, -10, -1],\n [2, 2, 9, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, 0, -7, 0, -7],\n [-9, 2, 5, -1, 6, 2],\n [10, 9, -5, -10, 9, -3],\n [9, 3, 0, 2, -6, 6]]\nB =\n[[-6, -8, -5, -5, -10, -5],\n [9, 2, 10, 1, 4, -7],\n [-7, 1, 3, -10, -9, -4],\n [-7, -8, -7, -2, 4, -9],\n [-2, -7, 2, 6, 1, 0],\n [9, 10, 2, -2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1226", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 2, -6, 10, 6],\n [-6, 0, 0, 4, 0],\n [-7, -3, -2, -9, 1],\n [-8, -1, 4, 7, -1],\n [-10, -5, 4, 8, 9],\n [-7, 0, 8, -3, -1]]\nB =\n[[-4, -8, -9, -6, -2],\n [4, -1, -3, 5, -1],\n [-6, 10, 6, 7, -2],\n [4, -7, -1, -8, -8],\n [6, 6, 4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1061", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-9, -4, 10, -8, 3],\n [-3, -1, -4, -5, -1],\n [8, -1, 10, 2, 5],\n [-10, 3, -7, 4, 1],\n [8, 6, -8, 1, 3]]\nB =\n[[-8, -5, 3, 0, 7, -2],\n [1, 6, 5, 0, -9, -7],\n [-7, -9, -7, 10, 7, 10],\n [-5, -10, 3, 3, 3, 1],\n [-9, -2, -8, 0, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-6, 1, -8, -5, 6, 4],\n [5, 8, -8, 2, 8, 6],\n [3, 1, 9, -10, 3, 0],\n [7, 2, 7, 3, -4, -7],\n [4, 9, -1, 6, -1, -1]]\nB =\n[[0, -4, 8, 8, 9, -4],\n [2, -1, -9, 3, 2, 10],\n [-3, 0, -10, 2, 6, 9],\n [0, 2, -7, 8, 0, 6],\n [10, -5, -9, -2, 6, -7],\n [1, -10, 3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -4, -7, -3],\n [4, -9, -7, 2],\n [8, -5, 9, -2],\n [7, 3, -4, -9],\n [10, 1, -9, 1]]\nB =\n[[-2, 9, -9, 7, 3],\n [-7, 0, -4, -1, 5],\n [8, -8, 10, 5, -3],\n [-9, -6, -5, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, 2, 2],\n [6, -1, 8, -7],\n [1, -8, 4, 3],\n [-2, -2, -1, 8],\n [0, 6, -7, -5],\n [-8, -7, -1, 1]]\nB =\n[[9, 9, 2, -10, -1, 9],\n [1, -1, 9, -8, -8, 0],\n [-5, 7, 5, 5, -7, -7],\n [5, -8, -8, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-9, 2, 2, -9, 3],\n [7, 5, 9, 6, 0],\n [-2, -7, 1, -3, 0],\n [10, 1, 2, 8, 9]]\nB =\n[[-9, 9, 10, -1],\n [7, 9, -7, -1],\n [-10, 3, -1, -3],\n [-7, -9, 3, -7],\n [5, -9, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, 5, -8],\n [10, 5, 9, -3],\n [-1, 4, -3, 9],\n [3, -1, 10, 0],\n [-6, 9, 2, 9],\n [3, -7, 7, -9]]\nB =\n[[-1, -4, 0, 0],\n [-8, -5, -10, 2],\n [-4, 4, -2, -7],\n [2, 3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -7, 4, -2, -3, -10],\n [6, 8, -7, -1, 2, -4],\n [8, -6, 2, 6, -3, -8],\n [-8, 7, 4, -9, 6, -6],\n [-8, 5, 6, -2, 9, 0],\n [-7, -2, 9, -6, 3, -8]]\nB =\n[[-5, 6, -8, 6],\n [6, 7, 2, 0],\n [8, -5, 1, 2],\n [0, 1, -3, -1],\n [8, 2, -6, 4],\n [8, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, -9, -10],\n [-1, -1, 5, 6],\n [-2, 4, 9, 8],\n [4, -2, -7, 6],\n [-7, 0, 1, -4]]\nB =\n[[5, -5, -8, 9],\n [7, 10, -3, 10],\n [6, -4, 4, 9],\n [-9, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 0, 9, -8, 2, 3],\n [9, -3, -10, 2, -3, -3],\n [-5, 4, -7, -1, -7, -9],\n [-10, -2, -8, -7, -8, 9],\n [-6, 1, -1, -8, 2, 5],\n [-1, -5, -3, -10, 7, 2]]\nB =\n[[1, 0, 8, 6, 0],\n [5, -3, -10, -6, -6],\n [3, 7, -6, -2, 7],\n [4, -7, -6, 0, 5],\n [-6, -1, 7, -8, -7],\n [2, 0, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, 9, -6, 7],\n [4, 10, 6, -3, -9],\n [4, -5, 6, -9, -4],\n [-7, 10, -10, -1, -7],\n [4, 2, -2, -1, -3]]\nB =\n[[-5, 1, -2, 3, -1, 2],\n [4, 6, -1, 6, -5, 0],\n [3, -8, 5, 4, 9, -3],\n [10, -6, 3, 7, 9, 10],\n [-8, -3, 7, -6, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, -1, -6, -7, 0],\n [8, 9, -4, -2, -9, 0],\n [-1, 9, -8, 10, -6, 4],\n [9, 4, -8, 3, -4, -3]]\nB =\n[[-10, 5, -1, 3, 2],\n [10, 4, -2, 2, -5],\n [-4, 9, -10, 8, 1],\n [6, -8, 0, -2, 5],\n [-5, -6, 3, -8, -2],\n [10, 5, -1, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 8, -10, -3],\n [0, 0, 2, 9],\n [-1, 0, -7, 3],\n [-7, 8, -10, 7]]\nB =\n[[-8, -1, 9, -2],\n [-4, -1, 0, 10],\n [-8, 10, 1, 7],\n [3, -2, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 1, 8, 8, -8, 8],\n [10, 0, 6, 0, -5, 3],\n [-8, -3, -10, -1, 3, 7],\n [5, -3, 3, 1, -5, -8],\n [-9, -8, 1, 6, 3, 9]]\nB =\n[[8, -2, 4, -6, -9, 7],\n [-5, -7, 10, -7, 3, 2],\n [4, -10, 1, 7, 3, 4],\n [9, 1, 9, 4, 3, 8],\n [-9, -8, 4, -1, -7, -8],\n [3, 1, -3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 5, -6],\n [7, 6, -4, 9],\n [9, 8, 8, -6],\n [-3, -3, 4, -4]]\nB =\n[[-9, -4, -10, 6, 1, 7],\n [4, -1, 4, 3, 2, 10],\n [3, -1, -9, 10, -7, -5],\n [-1, -6, 9, 6, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1413", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, 10, -3],\n [0, -10, 1, -8],\n [-8, 8, -10, -6],\n [-1, -9, -1, 3]]\nB =\n[[-6, 0, 9, 5, 6, 9],\n [-10, -8, 2, -7, 5, -4],\n [7, -4, -10, 3, -10, -7],\n [-10, 4, 8, -10, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1666", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 3, 9, 8, 10],\n [-6, 1, 4, 1, 6],\n [4, -10, 8, 4, -4],\n [-2, 0, 8, 9, 7],\n [-2, 2, -1, 6, 7]]\nB =\n[[5, -7, -10, 2, -3, -9],\n [-1, 8, 8, -2, -9, -5],\n [10, -5, 2, -8, -7, -4],\n [-7, 10, 4, 10, 4, 1],\n [1, 8, -10, -4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1728", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-5, 5, -10, -8],\n [-6, 6, -6, -9],\n [10, -8, 5, -5],\n [-4, 5, 2, 8],\n [5, -3, 2, 8]]\nB =\n[[-9, -4, -1, 5, 9],\n [-5, 9, 4, 2, 10],\n [-9, 1, -9, 0, 4],\n [-4, 7, 3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 3, 0],\n [1, -1, -4, 7],\n [2, -4, 5, 2],\n [-9, -3, -4, -6]]\nB =\n[[-9, -10, 3, -4, -1],\n [1, 0, 9, -7, 5],\n [4, 0, -3, 1, -7],\n [5, 10, 7, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -6, 4],\n [9, 6, -3, 10, -4],\n [-1, -1, -8, -4, -6],\n [1, 1, 5, -5, 9]]\nB =\n[[-8, -8, 6, -3, -5, -5],\n [-6, -10, -7, -8, -8, 1],\n [-4, 1, -7, -8, -3, -3],\n [-6, 0, -9, 1, -7, -10],\n [5, 0, 4, 9, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 10, 2, -5, 3],\n [-9, 9, -6, 1, -5, 6],\n [-6, -7, -6, -5, 1, -5],\n [7, 9, -1, 3, -1, -9],\n [8, 5, -10, -8, 7, -1],\n [9, -10, -7, 2, 9, -3]]\nB =\n[[-2, 5, -10, -7, -7],\n [-4, -8, -6, 4, 3],\n [8, 4, -5, 0, 7],\n [-8, 9, 10, 4, 3],\n [7, 9, 5, 2, -3],\n [2, 7, -1, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 0, -10, -8, 3],\n [7, -8, -5, 4, -6, 0],\n [-5, -7, -10, -5, -8, -4],\n [2, 5, 0, -5, 8, 10]]\nB =\n[[10, -2, 8, 5],\n [0, 1, -5, 8],\n [1, -7, -1, 4],\n [-10, -7, -5, -5],\n [9, -1, 5, 6],\n [6, 0, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 2, 6, 3, 0],\n [-7, -1, -1, -6, 0, 3],\n [-4, -3, -6, 2, -7, 2],\n [1, -10, -5, -10, -2, -8]]\nB =\n[[-6, 5, 1, -1, 9, -6],\n [-8, -8, -6, 7, 2, 4],\n [-10, 4, -9, -2, -6, -7],\n [9, -7, -1, -4, -4, -4],\n [1, 0, 3, -10, -10, 9],\n [5, 4, -9, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "600", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 3, -1, 8],\n [4, -9, 1, -4],\n [-6, -1, -10, 8],\n [6, 5, 5, 4]]\nB =\n[[-6, -7, -5, 7],\n [-10, -10, -1, 1],\n [9, -2, 1, 0],\n [8, 2, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 6, 1, -2, -3],\n [-2, 2, 10, 2, -8],\n [5, -7, -10, -9, -9],\n [-4, 0, 9, 10, -10]]\nB =\n[[-4, -8, -7, -5, 0, -4],\n [5, -8, 0, 6, 8, 9],\n [3, -9, -2, 9, 6, -9],\n [9, -7, 5, 0, 0, 10],\n [-2, 3, 6, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, -1, -10, 0],\n [-4, 9, -6, 7, 4],\n [-3, -6, 5, -10, -2],\n [-8, 0, 9, -8, -4]]\nB =\n[[0, -5, -4, 6, 1],\n [-9, 5, 1, -8, 1],\n [6, -4, -9, 5, -6],\n [-3, -6, -4, -2, -6],\n [-1, -8, -1, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, 6, 4, -2],\n [-1, 5, 3, 1, -3],\n [8, -8, -7, 0, 4],\n [8, 8, -2, -6, -6]]\nB =\n[[8, -9, 7, -6, 4],\n [8, 0, -3, 2, -4],\n [-1, -1, 9, 5, 7],\n [-5, 0, 8, -10, 8],\n [2, 10, -2, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -5, 0, 8, -5, 8],\n [-6, 6, -3, 2, 6, -3],\n [8, 1, 9, 4, -3, -3],\n [6, 10, 9, 2, 7, -1]]\nB =\n[[3, -3, 9, 10],\n [-3, 3, 9, -3],\n [4, -6, 5, -3],\n [-6, -1, 8, 1],\n [2, 1, -6, 1],\n [-1, 6, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, 3, 10],\n [-7, 9, -5, -10],\n [7, -6, -6, 9],\n [-5, -4, 5, -8],\n [1, -8, -10, 8],\n [2, 5, -5, 8]]\nB =\n[[5, 6, 5, 7],\n [1, 4, -5, -1],\n [-8, 6, -2, -8],\n [0, 6, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -9, -4, 6, 2, 8],\n [6, 9, -3, 8, -10, -1],\n [7, -9, -10, 9, -1, 2],\n [4, 10, -4, -5, 2, -2],\n [-3, 4, -7, 8, -10, 2],\n [9, -2, -7, 7, -1, 9]]\nB =\n[[10, -5, -2, -1, 1, -6],\n [-3, -8, -10, -2, 7, 2],\n [9, 3, -5, -3, -7, -5],\n [-8, -3, -2, 6, 10, 1],\n [8, 1, 2, 4, 6, 4],\n [-2, -4, -1, 3, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -4, -2, -3],\n [-4, 7, -9, -2],\n [-8, -10, -8, 0],\n [2, -4, -1, -5]]\nB =\n[[4, 10, 9, -6],\n [-2, -6, 8, -9],\n [-8, 9, 7, 8],\n [1, -6, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -10, 5, -3],\n [-5, -8, -6, 1],\n [-6, -4, -7, -2],\n [10, -3, 2, 1]]\nB =\n[[-6, 1, -1, -8, 10],\n [-1, -9, 7, -10, -8],\n [3, -4, 9, -6, -9],\n [-6, -6, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1303", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 10, -10, -1],\n [7, -5, -6, -9],\n [-6, 1, 1, 5],\n [9, -3, 9, -10]]\nB =\n[[-5, 2, 7, -6, 7, 1],\n [-1, -9, 8, -9, -1, 6],\n [7, 8, 6, -9, 7, -1],\n [5, -8, 9, 5, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 3, -8, -2, 9, -5],\n [0, 0, 10, -7, 7, -4],\n [4, -1, 0, 2, 0, 0],\n [0, -9, 0, 0, 7, 8],\n [9, 4, 6, -8, 0, -7]]\nB =\n[[-7, -2, -8, -5, -2],\n [-7, 10, 0, -8, 9],\n [6, 5, 0, 0, 6],\n [10, -5, -4, -6, 4],\n [-6, 0, -7, -9, -7],\n [7, 7, -4, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-752", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -9, -6, 3, 7, -4],\n [-5, -1, 2, -3, -10, -8],\n [9, 7, 7, -10, 5, 0],\n [9, -6, 8, -6, 10, 4]]\nB =\n[[7, 3, 2, 2, 1, 8],\n [-2, 9, 3, -3, 2, 1],\n [-4, 7, -10, -3, 1, 6],\n [-10, 1, 2, -4, 6, -5],\n [4, 3, -1, 5, 6, -6],\n [6, -4, 2, -8, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -7, 9, -7],\n [-3, 9, -5, -8],\n [-7, -2, 0, -5],\n [2, -3, 10, 8]]\nB =\n[[3, 5, -8, -9, 9, 9],\n [-2, 8, 7, 3, -7, -10],\n [10, 9, -1, 7, 7, -7],\n [5, 7, -10, 10, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -8, 0, 8],\n [4, 1, 1, -7],\n [-10, -5, -8, -3],\n [9, -8, 10, 6],\n [-6, -8, 1, -4],\n [1, -3, -2, 5]]\nB =\n[[2, 5, 0, -7, -8],\n [2, -7, 3, 1, 2],\n [-5, -5, -7, 1, 4],\n [9, -5, 0, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, -9, 9],\n [-10, -6, -5, 2],\n [-8, -8, 6, -6],\n [-10, 5, -8, 10],\n [0, 2, 2, 1]]\nB =\n[[-6, -4, 2, 10, -1, -9],\n [-2, 1, 2, 1, 6, -7],\n [3, 1, 3, 3, -5, 1],\n [-4, -3, -6, 1, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, 4, -8],\n [8, -9, 1, 5],\n [-9, 6, -10, -5],\n [-9, 8, -1, 6],\n [10, -3, 0, -5]]\nB =\n[[4, -10, 10, 0, 1],\n [10, -10, 5, -9, -9],\n [-3, 0, -9, 10, 4],\n [-6, -9, 8, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[9, 0, 9, 4],\n [-8, -10, -6, -6],\n [-7, 6, 2, -7],\n [-9, -6, -2, 2],\n [1, 2, -8, -8],\n [-9, 7, -2, -4]]\nB =\n[[0, -9, -6, -7, 2],\n [0, 6, 6, -3, 8],\n [6, 7, -3, 6, 3],\n [0, -3, 6, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -2, -7, 10],\n [2, 0, -7, 9],\n [10, 6, 7, 9],\n [5, -2, 7, 2]]\nB =\n[[9, -7, 6, 10, 8, -6],\n [1, -6, 5, 5, 7, 7],\n [3, 4, -6, -10, -4, 10],\n [-9, -8, -1, -10, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 4, -6, 5, 0, 4],\n [2, 8, -7, 1, 9, 3],\n [-1, 9, 9, -2, -3, -4],\n [3, -3, 9, -2, -6, 8]]\nB =\n[[1, -5, 3, -9, 7],\n [-1, -10, 6, -4, 2],\n [7, -5, -9, -1, -8],\n [0, -6, 4, -10, -3],\n [4, 3, -1, 3, 0],\n [6, 7, 0, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, 0, 6],\n [5, 1, -8, 2],\n [-9, 6, -4, 6],\n [-8, -5, 9, -1],\n [2, 6, -1, 0]]\nB =\n[[-8, -2, -1, -9, -8, -2],\n [10, -4, -6, 9, 10, -10],\n [0, -8, -5, -4, 5, -8],\n [-5, -10, -2, 1, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -1, 3, -3],\n [2, -10, 3, 7],\n [2, 1, -10, 6],\n [-10, 3, -3, -1],\n [-7, 2, 0, 3]]\nB =\n[[-3, -5, -1, -5, 5, -10],\n [-8, 7, -6, -2, -5, -5],\n [-5, -7, 7, -4, 9, 7],\n [7, -7, 5, -6, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1578", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 6, 1, 2],\n [10, 6, 9, -1],\n [-7, 1, 2, -2],\n [-5, 2, -3, -10],\n [-6, 2, 6, 3],\n [3, -8, 1, -5]]\nB =\n[[8, 3, -6, 10],\n [-7, 4, -10, -6],\n [4, -6, 5, 2],\n [-9, -5, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1466", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[7, -2, 9, -5],\n [6, -8, 9, 3],\n [7, 9, 2, -8],\n [3, 1, 1, -1],\n [4, 3, -3, 3],\n [8, 3, 2, 1]]\nB =\n[[5, 5, -5, 8],\n [5, 3, 3, -10],\n [-8, 4, 6, 7],\n [3, -7, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -3, -9, 10, -5, -8],\n [-1, 8, -3, -4, -9, -5],\n [2, 0, -2, -9, -5, 9],\n [1, 0, -8, -5, 9, 0],\n [-4, 9, -8, 10, 5, -10],\n [3, 9, -2, -9, -4, -5]]\nB =\n[[-10, -9, 10, 9, 0],\n [-7, 7, 7, 1, 10],\n [1, -2, -4, 3, 10],\n [-4, 9, -4, 7, -10],\n [-9, 1, 10, 5, -7],\n [-2, -10, -10, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "609", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 5, 10, -6, 3],\n [-4, 9, 9, -2, 7],\n [0, 8, -1, -10, 8],\n [-2, -9, 10, -5, -5],\n [8, -1, 9, 1, -10],\n [7, 7, 0, 3, 10]]\nB =\n[[1, -9, 5, -9, -1],\n [0, -3, 10, 5, 8],\n [2, -10, 9, -8, -10],\n [2, -9, 1, 8, 6],\n [-8, 3, 7, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-609", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -2, -1, 6],\n [6, -6, -6, -2],\n [-3, 8, 6, 4],\n [-5, 6, -4, 5]]\nB =\n[[-1, -2, -8, -7],\n [-1, -9, 5, -7],\n [-8, -10, -5, -6],\n [-6, 4, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -2, -3, 4, -9],\n [6, 1, -4, -5, 6],\n [-7, 9, -5, 9, -1],\n [1, 4, 9, 3, -9],\n [5, 6, 6, 5, 10]]\nB =\n[[-8, -1, -2, -2],\n [9, 3, -10, 5],\n [1, -7, 0, 5],\n [-10, 3, 10, 2],\n [-4, 4, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, 3, 9, 8, 7],\n [6, 7, -10, -1, -2, 7],\n [-1, 10, -2, -7, 4, -7],\n [7, 3, 9, -3, 4, -8],\n [-10, -9, 8, -4, 8, 9],\n [10, -2, 2, 8, -7, -1]]\nB =\n[[4, 4, 4, 9],\n [9, 1, -1, 0],\n [1, -1, -9, 0],\n [-10, -6, 8, 7],\n [10, 1, 7, 5],\n [-10, -2, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1763", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, -7, -10, 0, -5],\n [0, -4, 9, 1, 3, -8],\n [-4, 0, 10, 7, 8, 3],\n [-7, -6, 1, -5, 2, -5]]\nB =\n[[9, 8, 8, -8],\n [6, -7, -2, 7],\n [-9, 10, 8, 3],\n [9, 4, 6, -4],\n [-6, 2, 6, -2],\n [5, 5, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 7, -10, -10, 2],\n [6, 1, 7, 8, -9],\n [3, -2, 7, 2, -4],\n [3, -10, -10, 3, -8]]\nB =\n[[-6, -1, -6, 9],\n [-2, -6, 10, 1],\n [-9, 1, -4, -5],\n [-9, -2, -9, 3],\n [7, -8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 5, 1, 2],\n [-5, -10, -6, -2],\n [7, -1, -8, 6],\n [-5, -2, 5, -5],\n [9, -5, 4, -8],\n [3, 2, -9, 2]]\nB =\n[[6, -2, 1, 6],\n [-8, -4, -2, -3],\n [1, 1, -6, 8],\n [-6, 1, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -1, 0, -6, -1],\n [10, -3, 8, -8, -10],\n [5, 1, 8, 0, -1],\n [-3, -8, 5, -5, -9]]\nB =\n[[-5, -2, 4, 9],\n [-10, 10, -7, -4],\n [-4, 8, -1, 0],\n [6, -9, 4, -2],\n [3, -1, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[7, -2, 8, -10, -7, -2],\n [-10, 5, -1, 7, 3, 0],\n [7, 4, -3, 4, -5, 7],\n [9, 1, 5, -5, 3, 7],\n [3, -7, 6, 7, -5, 3],\n [-4, -5, 9, 8, 10, 6]]\nB =\n[[3, 7, -8, 2, 7],\n [6, 3, 9, -7, 5],\n [4, -6, -1, -4, 10],\n [-7, 7, -7, -8, -2],\n [3, 10, 8, 9, 2],\n [-10, -5, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[6, 0, 2, 4, 3],\n [3, -6, 6, -4, -9],\n [-6, 1, 5, 8, 10],\n [6, -4, 1, -4, -4]]\nB =\n[[-7, 0, 10, 5],\n [0, -2, -1, 3],\n [-10, -5, -2, -3],\n [10, -5, 1, -10],\n [-9, -8, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[3, -3, 6, 8, 2, -10],\n [7, -5, -1, 5, -5, 6],\n [4, -5, -8, -5, -5, 6],\n [-4, -7, 9, 0, 2, 1],\n [2, 0, -3, -7, -6, 9]]\nB =\n[[7, 2, 10, 8],\n [4, 10, 4, 6],\n [-6, -10, -4, -9],\n [-9, -10, 10, 1],\n [8, 8, 5, -3],\n [8, 10, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -9, -5, 4, 10],\n [1, 7, 3, 10, 5],\n [2, 9, -2, -8, -3],\n [-10, -8, -2, -7, -1]]\nB =\n[[8, 7, 7, 5],\n [5, -6, -5, 10],\n [-2, -6, -9, -4],\n [2, 10, -4, 6],\n [4, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1224", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[6, -3, -5, 4, 1],\n [-4, -9, 5, 1, 8],\n [-8, -9, -10, -5, 6],\n [-4, 3, -6, 5, -5],\n [5, -10, 0, 8, 6],\n [8, -10, -5, 1, 6]]\nB =\n[[4, 0, -10, 5, -1],\n [-10, -5, 9, -2, 9],\n [7, -10, 2, 10, 8],\n [0, 5, -7, 3, 6],\n [-2, -2, -3, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -7, 9, 8, -3, -6],\n [-7, 9, 4, 7, 0, -9],\n [1, 2, 6, 2, -8, 9],\n [3, 2, -5, 1, 1, -8],\n [3, -2, 1, 3, 10, 10],\n [6, -3, 4, -1, 0, 0]]\nB =\n[[-2, -5, 10, -3],\n [-2, 3, 10, 3],\n [-9, 5, 6, 7],\n [3, 7, -2, 10],\n [-4, -1, -9, -2],\n [7, 10, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-5, -7, 3, 5, -9],\n [-7, -3, 7, 1, 5],\n [6, -1, -10, 2, -6],\n [6, -7, 3, -6, -4],\n [7, 10, 9, -3, 7]]\nB =\n[[3, -6, 5, -7, -2],\n [1, 9, 7, -5, 3],\n [-2, 8, -3, 9, -1],\n [4, 1, 5, -4, 1],\n [4, -5, -1, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 3, 2, -6],\n [10, -2, 3, 1],\n [-8, -1, 5, 7],\n [9, 9, -4, -5]]\nB =\n[[-4, 0, -9, -4, -1],\n [-10, 10, 3, 7, -9],\n [-10, 8, 6, 3, 4],\n [-2, 8, -8, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -2, -6, 1],\n [-10, 5, -1, 2],\n [4, 2, -3, -6],\n [4, -1, 2, 0],\n [8, -1, 8, 0],\n [0, 8, -7, -8]]\nB =\n[[8, 6, -3, 6, -1, 6],\n [-9, -3, -5, -7, 0, 3],\n [-2, -4, 0, -9, 1, 0],\n [0, 6, 6, 9, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 4, 7, -1, -1],\n [-10, 2, -8, 9, -3],\n [-10, -7, 9, -10, -3],\n [9, 2, -3, -10, -3],\n [-1, -4, 2, 3, 2]]\nB =\n[[-4, 9, 6, 1],\n [-9, -6, 7, 5],\n [9, -5, 5, -5],\n [-2, -8, 0, 8],\n [4, 2, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-3, 3, 5, 4, -8],\n [-1, 9, -8, -3, 0],\n [10, -9, -1, -2, -1],\n [4, -1, 6, -10, -4]]\nB =\n[[-8, 0, -9, 3, 3, 10],\n [7, -6, -6, 7, -4, 2],\n [6, 0, 7, 6, 3, 9],\n [4, 2, 8, 9, 10, -4],\n [0, -7, -8, 2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 7, 3, -7, 3, 9],\n [4, -10, 9, 1, 0, -6],\n [-3, -5, -10, 8, 8, 8],\n [-3, 8, -4, -10, -3, 8],\n [-1, 10, -4, -9, -2, 4],\n [-3, 1, 4, -3, -9, 7]]\nB =\n[[-1, -10, 9, 7, -9, -1],\n [2, -8, 0, -3, 7, 4],\n [-10, -4, -1, 1, -5, 7],\n [7, 8, -9, -1, -8, 6],\n [6, -5, -1, 9, -4, 8],\n [-3, -5, -2, -7, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, 4, -8, 3, -1],\n [4, -2, -8, 7, 6, 0],\n [-3, 4, 5, -5, -4, 10],\n [-3, -2, -1, 5, 6, -9]]\nB =\n[[-4, 9, -3, -7, 7, 1],\n [6, -6, -3, 3, 5, 6],\n [-1, -5, -10, 4, -5, 3],\n [4, -8, -6, -2, -7, -8],\n [3, 2, 1, 6, 7, -3],\n [-10, 10, -7, 7, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 2, -5, -1, 4, 4],\n [2, -5, -2, -9, -4, -10],\n [10, -8, -2, -5, 5, 6],\n [-7, 4, -7, 2, 4, 2]]\nB =\n[[6, -2, 1, -3, -5],\n [-10, -7, -6, -10, 1],\n [9, -5, -5, -9, 1],\n [-2, 5, -6, -4, 3],\n [-5, -5, -9, -2, 9],\n [4, -1, -6, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 5, -10, -10],\n [-2, -6, 9, 4],\n [8, 7, 3, 3],\n [5, -3, -1, -8]]\nB =\n[[-3, -3, 7, -1, -10, 9],\n [3, 9, -10, -1, -6, -9],\n [-7, 0, 3, -7, 5, -1],\n [-4, 2, 9, 4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, -8, -9],\n [-6, 0, -6, -8],\n [6, 10, 8, -9],\n [-8, 2, -2, 5],\n [8, 7, 0, 7]]\nB =\n[[4, -6, 3, -9],\n [4, -2, 7, 3],\n [3, 3, -10, -4],\n [7, 5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 5, 5, -6],\n [-10, -2, -3, 7],\n [-2, -8, 2, -2],\n [0, -7, 3, -9],\n [1, 5, 8, -1]]\nB =\n[[-8, 6, 1, -2],\n [5, 9, 8, 9],\n [-10, -1, -7, -9],\n [4, -5, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-584", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -6, -6, 8, 10],\n [3, -6, -6, -10, -4],\n [10, -10, -4, -8, 3],\n [5, -4, -5, -3, 3]]\nB =\n[[4, -1, -1, 9, 6],\n [-8, -7, 5, -2, 2],\n [0, 0, 10, 6, -9],\n [8, 10, -7, 0, 4],\n [7, -2, 3, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, -4, 0],\n [-8, -10, -2, -4],\n [-1, 7, -9, 8],\n [-9, 6, -9, 1],\n [-2, 0, -7, -8],\n [-4, -4, 7, -8]]\nB =\n[[-7, 9, -6, -2, -1, -1],\n [-7, -7, 7, -3, 8, -3],\n [-5, 3, 9, -5, -7, -5],\n [1, -9, 7, -6, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -1, 1, -3, 1, 5],\n [-4, -8, 7, 0, -7, 10],\n [-5, -8, 7, 9, 5, 7],\n [-2, 0, 2, 8, 7, 2]]\nB =\n[[7, 1, 8, 2, 1, -7],\n [-8, 6, 0, -5, 1, 5],\n [9, 6, -9, 0, 3, -6],\n [-9, -3, -4, -10, -7, -9],\n [-1, -2, 9, -10, 0, -3],\n [-5, -6, 2, -10, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1450", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -10, 4, -2, -5, 5],\n [-5, -5, -9, -7, 9, 2],\n [-6, 2, -7, 9, 3, 1],\n [-2, 2, 3, 5, -9, -7]]\nB =\n[[-9, -2, 10, 9, 8],\n [-2, -3, 5, 3, -3],\n [3, 6, -6, -4, -6],\n [2, -5, 8, 5, -2],\n [-10, 2, 5, 9, 8],\n [4, 4, 9, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1474", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, -6, 2, 1, -1],\n [-9, 6, -5, 9, 0],\n [-10, -2, -10, -2, -3],\n [-3, -10, 8, -8, 6],\n [-9, 6, 6, 3, 6],\n [6, 2, 1, 4, 1]]\nB =\n[[4, -2, 6, 6, -4, -6],\n [-9, -8, -8, -10, -8, 3],\n [-7, 8, -8, 10, 6, 8],\n [-4, 9, 3, -9, 9, -3],\n [6, -2, -3, -3, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-6, 1, 0, -10, 8, 5],\n [2, 7, -2, -6, -8, -3],\n [3, -9, 10, 1, -9, -5],\n [2, 6, 1, 8, -3, 4],\n [7, -10, -2, 7, -3, -3]]\nB =\n[[-4, 10, -2, 0],\n [-7, 3, 4, 1],\n [-1, 2, -4, 4],\n [-4, 10, 1, -8],\n [1, 6, 7, 2],\n [7, -1, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, -9, -6],\n [-8, 3, -6, 4],\n [-9, 4, -10, -3],\n [7, 0, 10, 7]]\nB =\n[[6, 5, 1, 9, 0],\n [-5, 6, 10, -7, 2],\n [9, -2, -1, 0, 1],\n [5, 8, -8, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, -9, 4, -7],\n [-3, -7, 0, 10, 2],\n [6, 10, -4, -2, -10],\n [0, 9, 1, 2, -7],\n [0, -4, 2, -8, -2]]\nB =\n[[7, -8, -10, 0, 1, -1],\n [-8, 1, -1, -9, -4, -6],\n [2, -6, 2, -9, -2, -6],\n [4, 0, -9, 6, 1, -8],\n [-8, -5, 0, 4, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1697", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-6, 2, -6, 0, 2, -5],\n [0, -5, 5, -5, -2, 4],\n [9, -2, 3, 8, 2, 10],\n [-10, -8, -5, 1, 4, -3],\n [-7, 1, 9, -1, -2, -4]]\nB =\n[[-6, -3, -8, -10, -2],\n [-8, 8, 3, 9, 9],\n [8, 0, -4, 9, 2],\n [-6, 10, -8, -7, -8],\n [-1, -1, -1, 7, -8],\n [9, 10, 3, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, 6, -9],\n [-6, 5, 0, -1],\n [-3, 0, 0, -10],\n [8, 1, -1, 6]]\nB =\n[[9, -3, -2, 5, -5, -8],\n [3, 6, -3, 5, 2, 4],\n [-6, 7, -10, 9, -5, 1],\n [9, 9, 9, 5, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -2],\n [1, -5, -9, 6],\n [-6, 5, -3, 8],\n [-9, 4, -8, 3],\n [-6, 7, -6, -5]]\nB =\n[[-6, 6, -1, 3, 1, -6],\n [9, -7, -9, -5, 9, 2],\n [3, -3, -10, -4, 0, 4],\n [-1, -3, -8, -8, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1350", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 3, -10, -7],\n [-8, 9, 5, 8],\n [2, 8, -10, 10],\n [4, 3, -3, 1],\n [5, 6, -8, 2],\n [-5, 0, 7, -5]]\nB =\n[[9, -8, -3, -2, -4],\n [0, -6, -5, 10, 4],\n [-5, 7, -3, 10, -10],\n [-3, -7, 7, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[5, -4, 7, -10, 5, -4],\n [0, 3, -9, -1, -9, -6],\n [6, -5, 0, 6, 8, -8],\n [-4, -10, 6, -5, -7, 7],\n [-2, 10, -7, -10, 3, -8]]\nB =\n[[-3, 2, -10, -8, -2],\n [-4, 9, 4, -8, -5],\n [4, -2, -9, -5, 6],\n [1, -8, 2, -9, 0],\n [-7, -1, 4, 7, -10],\n [5, -5, -9, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -2, 5, -9, 9, -8],\n [0, 1, 6, -9, -4, 3],\n [7, 3, -1, 7, -3, 1],\n [9, 8, -9, -1, -7, 2]]\nB =\n[[9, 4, 10, -5, 9, 8],\n [-7, 7, -1, 5, 2, -7],\n [-9, 7, -10, 8, -9, -4],\n [6, -5, 8, 2, -9, 10],\n [8, 2, -6, -6, 5, -7],\n [1, 2, -5, -7, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -6, 9, -1],\n [1, -2, 9, 5],\n [5, 1, 3, 2],\n [-6, -9, 1, 5]]\nB =\n[[5, -3, 2, -3, -5, -4],\n [-1, -2, -1, 1, -10, 4],\n [-4, 6, 8, 4, -8, 6],\n [9, -8, -5, 0, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "978", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -3, 9, 5, 7],\n [-9, -5, -9, 8, -4],\n [-6, -2, 4, -3, 6],\n [-5, 8, 9, 1, -3],\n [8, -7, 0, -10, -5]]\nB =\n[[9, 1, 5, 4],\n [-5, 1, 4, -9],\n [4, -3, 9, 3],\n [8, 7, -4, 0],\n [7, 9, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1365", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-7, -10, -3, -10, 10],\n [10, 6, 2, -10, 7],\n [1, -10, -10, 0, 0],\n [-10, -4, -4, 3, -9],\n [3, -6, -2, -5, 5],\n [9, 9, -5, -8, 10]]\nB =\n[[-9, -5, -6, -10],\n [-9, -9, 2, 6],\n [-2, 7, 8, -3],\n [-4, 1, 4, -8],\n [-10, -10, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, 1, 5, 3, -3],\n [2, 5, -7, 7, -7, -7],\n [-9, -4, -9, -6, 1, 8],\n [-1, 9, 8, -3, 9, -7]]\nB =\n[[-1, -5, 7, -10, -1],\n [4, -10, 6, -6, -4],\n [0, -10, 4, -9, 1],\n [10, -8, 1, 10, -9],\n [6, -9, -10, -7, -7],\n [-7, 4, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -9, -8, -3, -10],\n [5, -6, 3, -8, -9],\n [-8, 9, 6, 9, 1],\n [-8, -10, -5, -10, -5]]\nB =\n[[-2, -9, 2, -3, 2],\n [-1, -1, -3, -4, 8],\n [9, 5, 5, -6, -4],\n [2, 8, -2, -10, -5],\n [3, -4, 5, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, 4, 1, 2, 7],\n [8, -4, -9, 2, -7],\n [-2, -9, 5, 9, 10],\n [6, 10, 5, 7, -10],\n [-6, -10, 9, 3, -9],\n [0, -5, 10, 5, 4]]\nB =\n[[-2, -2, 3, -8, -9, 8],\n [5, -9, -10, -5, 8, 2],\n [4, -9, -10, -10, -4, -4],\n [-8, 1, 3, 7, -4, 10],\n [-6, 2, 8, 2, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 1, -7, 7],\n [3, -4, 4, -8],\n [-9, 0, 4, 4],\n [8, 10, 6, -4],\n [7, 3, 10, -1],\n [9, -4, -1, -7]]\nB =\n[[2, 4, -4, 1, -10, -1],\n [-4, -8, 8, -2, -7, 5],\n [2, 6, -9, 7, -9, 3],\n [7, -6, -4, 5, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 4, 3, 4],\n [1, 8, -10, -10],\n [10, 1, 8, -6],\n [-8, -8, -9, -7]]\nB =\n[[2, 0, -7, 3],\n [9, 4, 3, -7],\n [3, -5, -1, 10],\n [0, 0, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 7, -7],\n [-1, 4, 2, -9],\n [-2, 6, -10, -10],\n [6, 9, -8, 2]]\nB =\n[[5, -7, -3, 10, 0, -3],\n [4, 1, 5, 5, 6, -4],\n [-3, -4, 2, -5, -4, 5],\n [-6, 9, 2, 0, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -10, 1, 10, -3, 10],\n [1, 2, 7, -10, -3, 6],\n [-10, 6, -3, -5, -8, -10],\n [-3, -3, 10, -5, -2, -3]]\nB =\n[[-5, -7, 3, -9, -7, -6],\n [-4, 8, 9, -6, 1, 1],\n [6, 5, 1, -1, -5, 8],\n [0, 7, -9, 6, 5, -2],\n [-3, 6, -9, -5, 8, 4],\n [-5, 3, 5, 1, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 10, 3, 10, 0, 0],\n [-3, -4, 7, -5, 4, -10],\n [-3, 4, 3, 7, -5, 8],\n [-10, 10, 8, -4, 7, -10]]\nB =\n[[8, 9, -1, -7, -1, 4],\n [7, 6, 9, 7, -7, -2],\n [1, 2, -10, 3, 6, 10],\n [2, -3, 9, 8, -1, 3],\n [4, -9, -1, -4, 10, 8],\n [1, -4, -6, -3, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -5, -10, -8, 6],\n [3, 9, -6, -8, 2],\n [6, 3, -9, -10, -9],\n [-2, -1, -7, -2, -8]]\nB =\n[[-10, -1, -10, 9],\n [8, 2, -3, 9],\n [-8, -9, 8, 1],\n [8, -1, -3, 3],\n [-9, -5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 5, 10, 6, 2],\n [-1, -1, 1, -4, -2],\n [9, -6, 5, -2, 5],\n [-9, 4, -7, -6, 2],\n [10, -6, -2, 3, 5],\n [-9, 3, -4, 3, 6]]\nB =\n[[2, 10, -8, -1, 8, -2],\n [4, 7, -10, 5, 6, -5],\n [10, 4, -1, 1, -3, -3],\n [3, -7, 7, 9, -8, 0],\n [-2, -4, 8, -2, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 8, 3, -8],\n [-1, -6, -10, 4],\n [-5, -7, 8, 7],\n [-9, -2, 3, -8]]\nB =\n[[10, 2, -6, 5, -3, -4],\n [-6, 10, -4, -3, 8, -3],\n [1, -4, -4, -9, -3, -7],\n [-7, 9, -10, -6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -10, 6, 10],\n [-10, 8, 5, 2],\n [-7, 3, -8, 8],\n [-6, 4, -7, -7],\n [-2, 10, -3, -7]]\nB =\n[[-1, 2, -8, 7, -2],\n [0, -1, 3, 5, -9],\n [10, -9, -5, -1, -2],\n [-8, -5, -1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-6, -1, -9, -7, -6],\n [-1, -5, 8, -4, -7],\n [4, 6, -8, 0, 3],\n [-7, 4, 10, 3, 7],\n [8, -5, -8, 3, -5]]\nB =\n[[10, 1, 9, 0, -5, 5],\n [-3, 0, -1, 0, 1, -4],\n [-6, 3, -7, -2, 10, 6],\n [-8, -2, 6, 5, -9, -4],\n [-2, 5, 9, -1, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -10, 7, -8, 0],\n [5, 7, -7, -7, -1],\n [10, -6, 1, -1, 6],\n [-6, 4, 7, -4, -10]]\nB =\n[[-8, 4, 9, 9, -4],\n [7, -1, 9, -8, 3],\n [4, 0, 3, 1, -7],\n [6, 2, -2, -9, 5],\n [-1, -7, -5, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, -4, 6, 2, -5],\n [2, -4, 5, 5, -3],\n [-7, 10, 6, -6, -10],\n [7, 9, 8, -6, 7],\n [-5, -4, 7, -6, -6]]\nB =\n[[7, -3, -7, -9, 8],\n [-7, 0, 0, 9, 10],\n [7, 6, 10, 5, 3],\n [1, -8, 6, 8, -7],\n [5, -8, -7, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -5, -3, -3, -10],\n [9, -8, -4, -3, -6, -9],\n [-3, 1, -10, -6, 6, -6],\n [2, -8, 0, -1, -1, 0],\n [-9, -2, -2, -10, -10, 9]]\nB =\n[[-5, -1, 3, -1, 10],\n [-4, 10, 9, -2, 1],\n [-9, -9, -9, -5, -6],\n [4, 6, -3, 5, -9],\n [7, 10, -1, -5, -4],\n [-3, 10, 6, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1747", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 8, 7, 6, 7],\n [0, -1, 2, 2, -3],\n [-6, -6, -2, -2, -10],\n [4, -3, 8, -3, -6]]\nB =\n[[-3, 3, -2, -5, -9],\n [3, -6, -9, -1, -7],\n [-7, 9, 7, 7, 1],\n [5, 8, 3, 8, -6],\n [1, 4, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "937", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -5, 5, 6, 0, -10],\n [5, 3, 8, 1, 7, -10],\n [1, 1, 1, 5, -9, -5],\n [-7, 1, 1, -7, -4, -3],\n [4, 6, 4, 3, -6, -10],\n [9, 8, 4, 9, 5, -6]]\nB =\n[[-6, 6, 8, -3, -10],\n [7, -6, -3, 0, -10],\n [-10, -6, 5, -6, -10],\n [-3, 6, -10, -7, -10],\n [0, -10, -2, -2, -10],\n [-3, -1, 2, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1460", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[2, 8, 9, 0, -8],\n [7, 3, 8, -5, 1],\n [-3, 2, -1, -5, -9],\n [5, -7, 0, 8, 6]]\nB =\n[[10, 8, -10, 8],\n [8, -4, 7, 5],\n [9, -8, -6, -4],\n [10, -7, -8, 0],\n [-3, -9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-6, -7, 6, 9, -8],\n [-3, 9, -7, -8, 6],\n [-3, 9, -7, -6, 4],\n [0, 2, -8, -9, -10]]\nB =\n[[5, 9, -3, 2],\n [7, -8, -2, -5],\n [-3, 2, 4, -2],\n [-9, -9, 3, 3],\n [-8, -9, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -2, -7, 7, 7, 10],\n [3, -10, 4, 3, 4, 0],\n [1, 6, 5, -4, 10, 10],\n [-4, -10, -8, -6, -2, -8]]\nB =\n[[7, -3, 3, -4],\n [-5, 10, -4, -4],\n [0, -5, 0, -5],\n [10, 9, 6, 5],\n [-9, -8, -2, 5],\n [-10, 10, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-3, 4, -8, 8, 8],\n [0, 8, 5, 7, -2],\n [2, 0, 10, -2, 4],\n [-1, -2, -6, -5, -9],\n [10, 8, -7, -3, 7]]\nB =\n[[-5, 9, 10, -5],\n [-1, 2, 1, 0],\n [-6, 10, -5, 5],\n [4, 2, -5, -9],\n [-10, 7, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, 3, -4, 5, 6],\n [-10, 8, -7, 6, 9, -5],\n [-7, 7, -3, -10, 3, 9],\n [4, -4, -4, -4, 3, 3]]\nB =\n[[6, -8, 6, 8],\n [-4, -6, 4, -9],\n [5, 0, -10, -7],\n [9, -4, 1, 1],\n [-3, 5, 4, -5],\n [4, 3, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[6, 4, 3, -3, 2, -7],\n [-3, 3, -6, 1, 8, -9],\n [1, -10, 9, 10, 2, 5],\n [-7, -5, 6, 7, 2, 3]]\nB =\n[[5, 1, -7, 0, -6],\n [-8, 9, -2, 10, 4],\n [-6, 10, 6, 5, 6],\n [-10, 5, 0, -7, 10],\n [-3, -7, -1, -5, 3],\n [1, -9, 8, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 8, 4, -5],\n [-3, -4, -3, 8],\n [4, 2, -3, -10],\n [-9, 6, -1, 4],\n [7, -10, 4, -6]]\nB =\n[[-9, 8, -9, -2, 9],\n [-7, 6, 5, -5, 5],\n [-6, 6, 1, 6, 10],\n [-2, 7, 0, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "976", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 8, -2, 2, -8],\n [-5, 1, 0, 4, 6],\n [10, 8, -4, -6, 6],\n [-3, 8, 9, 5, 4],\n [0, 2, -5, -4, 6],\n [10, -9, -10, 1, 9]]\nB =\n[[-3, -5, -1, 6, 2],\n [4, -1, 0, -5, -10],\n [-10, -2, -7, -7, 2],\n [-3, 5, -6, -6, 5],\n [-2, 0, 10, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1842", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-5, 10, 0, 7],\n [-8, 9, 10, -1],\n [-8, -6, 8, 1],\n [5, 9, 6, -4]]\nB =\n[[-1, -2, 2, 0, 1],\n [8, -10, 5, -5, 6],\n [4, 4, 5, 4, -6],\n [4, 5, -10, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, 10, -7, 4],\n [5, -5, -3, -7, 3],\n [10, 2, 7, -8, 3],\n [8, -6, 2, 9, -9]]\nB =\n[[-4, -5, -8, -2, -9],\n [-8, 4, 5, -7, -3],\n [-7, -6, -1, 2, -10],\n [-4, -7, 10, 2, 10],\n [9, 6, -9, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, -3, 7, -8, 1],\n [5, 2, -10, -9, 5, -8],\n [10, -3, 1, -9, 6, -7],\n [-10, -2, 7, -4, 4, 9],\n [7, -3, -1, -8, -2, -3]]\nB =\n[[8, 5, -6, -2],\n [2, 6, 0, -3],\n [-1, 8, 5, -10],\n [-10, -7, 9, 0],\n [9, 9, 9, 6],\n [-10, -3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -6, 6, 7],\n [-10, -2, -10, 4],\n [-2, -9, -6, -3],\n [-4, -3, -8, 7],\n [3, 5, -10, 7],\n [4, -2, -10, -3]]\nB =\n[[9, 5, 7, -3, -8, -10],\n [8, -10, -9, -3, 6, -1],\n [6, -6, 6, -5, -9, 10],\n [5, -7, -1, -3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2510", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-1, 9, 5, 9],\n [-7, 0, 6, -5],\n [10, -9, -3, -10],\n [-5, -6, -5, 1],\n [-7, -2, 4, -7]]\nB =\n[[1, -1, -5, -3],\n [9, -6, -3, 6],\n [-5, 1, -4, 3],\n [6, -6, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 5, 7, 7, 1],\n [6, -2, 6, -6, 10],\n [5, 2, -2, -7, 5],\n [3, -9, -8, 2, -1],\n [10, 9, -8, 7, 2],\n [-1, 7, 10, 10, -2]]\nB =\n[[1, -4, 1, -1, -5],\n [2, -1, -8, 9, 3],\n [4, -3, -6, -8, -1],\n [-6, 3, -3, 9, -9],\n [10, -1, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1845", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[0, 0, -2, -7, 6],\n [-3, 7, -9, 9, 0],\n [-3, -10, 8, 10, -2],\n [-6, -9, 4, 4, 2]]\nB =\n[[1, 0, 9, -4],\n [-7, 10, 3, -8],\n [3, 6, 8, 7],\n [8, 7, -10, 10],\n [10, 2, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -10, 6, 9, -5, 7],\n [7, 6, 1, 7, -6, 7],\n [8, 9, -3, 4, 5, 7],\n [7, -2, -10, -8, 8, 10]]\nB =\n[[-4, 8, 9, 5, 10, -4],\n [-10, -3, 3, -9, 7, 5],\n [-6, -10, -2, 8, 7, -10],\n [-8, -3, 0, -4, -8, -7],\n [-10, 4, 3, 6, 2, 1],\n [7, -10, 9, 5, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 5, 4, 8, -9, 2],\n [7, 10, -6, 8, 10, -3],\n [6, 8, -8, -5, -8, -5],\n [6, -6, -3, 6, -8, 10],\n [4, 6, 2, 6, 4, -5],\n [-6, 7, 0, 9, -5, 5]]\nB =\n[[3, 0, 3, 10, -10, 1],\n [-7, 9, 8, -4, 10, -1],\n [8, -6, 2, 8, -5, -1],\n [4, 3, -1, 4, -6, -1],\n [1, 9, 6, 6, 4, 7],\n [5, -5, 1, 6, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -7, 3, -4, 9],\n [-6, -5, -10, 4, -6],\n [-1, -7, 7, -4, -8],\n [4, 8, -3, 0, -10]]\nB =\n[[7, 3, 1, -7, -5, -4],\n [-8, -10, 6, -7, 6, -10],\n [9, -5, -10, 4, 8, -4],\n [8, 2, -6, 9, 0, 2],\n [-6, -8, 10, -1, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 9, 4, 6, -4, -2],\n [2, 10, -8, -10, 5, -1],\n [6, 7, -3, -6, 5, -1],\n [-4, -8, 4, -10, 0, 6],\n [5, -3, -5, 6, -9, -7],\n [5, 3, -5, -8, 4, -4]]\nB =\n[[9, 3, -3, 2, 8],\n [0, -1, -5, 4, -6],\n [7, 9, 7, 1, 3],\n [0, 0, 5, 2, 6],\n [-4, -10, -10, 7, -3],\n [6, 9, 3, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-502", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, 8, 4, 1],\n [-7, -10, 10, 2, 0],\n [-2, 2, 8, 3, 1],\n [3, -6, 9, 0, -9],\n [-6, -5, 8, 7, -9],\n [-3, 8, -10, 3, -8]]\nB =\n[[6, 5, -4, 7],\n [-4, -9, -3, 4],\n [3, -9, 4, 5],\n [0, 10, 10, -10],\n [2, -6, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[8, 5, 8, 8, 2, 2],\n [2, 10, -7, -7, 10, -6],\n [-4, -4, 9, -9, 6, -3],\n [-4, 0, -8, 5, -6, -6],\n [3, 6, -9, 7, -2, 5]]\nB =\n[[8, -9, 5, 8, 8, 0],\n [1, -8, -3, -2, 5, 7],\n [5, 2, -8, 1, 4, 6],\n [-10, -8, 9, 3, 3, 8],\n [9, 4, -1, 4, -10, -1],\n [-1, -8, 9, 10, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 3, -6, 9, 10, 6],\n [10, -1, -3, 8, -1, 10],\n [-9, 6, 8, -10, 6, 0],\n [-5, 9, -10, 4, 0, 6],\n [-4, 6, -1, 6, -10, -8],\n [-4, 9, -10, -7, -10, 1]]\nB =\n[[-6, 8, 5, -6, 10],\n [-2, -4, -9, 2, -3],\n [7, 0, -1, -8, 5],\n [0, -6, 7, -10, -8],\n [10, 0, -9, -4, -8],\n [-9, -7, -3, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2754", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 7, -4, 2],\n [-10, 5, -8, -9],\n [9, 4, -2, 1],\n [8, -7, 7, 5]]\nB =\n[[10, 9, -9, -8],\n [-6, -4, 8, -5],\n [5, 3, 2, 5],\n [9, 2, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[0, 6, -1, -2],\n [3, 8, -1, 1],\n [7, -6, -9, 2],\n [6, 4, 0, -5]]\nB =\n[[10, -9, -1, 4],\n [-8, -7, 6, 0],\n [-7, -3, -1, 5],\n [-5, 4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-1, 10, -10, 4],\n [-8, 8, -1, 5],\n [5, -3, 10, 0],\n [-4, 4, 4, 10]]\nB =\n[[3, 1, -1, 10],\n [-1, 3, -7, 5],\n [-10, -3, 4, -6],\n [-7, 6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 7, 9, 2, -5, -10],\n [8, -3, 7, 0, -10, 10],\n [0, -5, -1, 10, -9, -6],\n [-3, -3, -2, 10, -5, -10],\n [-7, -9, 3, -6, 9, -10]]\nB =\n[[-7, 0, 9, -6],\n [-8, -3, 0, 4],\n [-8, 9, -1, 6],\n [-8, 9, -2, 2],\n [0, -9, 9, -3],\n [-10, -8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1063", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -9, -2, -10],\n [-4, 9, -4, -8],\n [5, 6, 5, -7],\n [-1, -4, -5, -3],\n [7, -4, 5, 5]]\nB =\n[[10, -9, -6, 9, 4],\n [2, 7, -4, -9, -9],\n [-8, 2, 5, -6, -5],\n [6, 7, -5, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -3, 7, 3, 4],\n [-7, 6, 7, 8, -1],\n [8, -8, 4, 0, 6],\n [-4, 9, -4, -8, 0],\n [-1, 7, 2, -3, -4]]\nB =\n[[-1, -6, 1, 2, -5, -7],\n [6, 7, 8, -7, -6, -2],\n [-5, 2, -1, -2, 0, -9],\n [-2, -6, -5, -9, -9, 9],\n [3, -6, 10, -8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1602", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 8, -2, 0],\n [-6, 8, 4, -6],\n [-6, -5, 0, -10],\n [3, 0, -9, 0],\n [-4, -2, 3, -9],\n [10, -4, -5, -6]]\nB =\n[[2, -2, 9, 5],\n [5, 2, 2, 2],\n [2, 1, -8, -2],\n [2, 7, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 0, 7, -2],\n [-3, 8, 9, -1],\n [-1, 8, 0, -6],\n [1, -8, 6, -10]]\nB =\n[[1, 8, -4, 8],\n [2, -7, -10, 5],\n [-4, 10, 8, -9],\n [1, -2, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "919", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-2, 3, 10, 3, 2],\n [3, -7, -2, -6, 10],\n [-3, -6, -8, 4, -1],\n [-10, -6, -2, 2, -5],\n [1, -3, 8, 1, -3],\n [-5, 7, 2, 1, 2]]\nB =\n[[6, 7, 9, 9, -4],\n [3, 0, -5, -5, 1],\n [-1, -5, -5, 2, 7],\n [-5, 5, 6, 3, 0],\n [8, 3, -9, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -6, -4, 4],\n [4, 2, -1, -5],\n [8, -8, 4, 6],\n [-4, 4, -3, -5]]\nB =\n[[-3, 7, -1, -7],\n [2, -8, -3, 1],\n [-7, 2, 5, -1],\n [2, -1, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "678", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 7, -9, -4, -4],\n [-8, 10, -10, -8, -4],\n [8, -4, 8, 3, -7],\n [3, -5, -10, 4, -8],\n [3, 6, 5, 0, -9]]\nB =\n[[-7, 6, -8, -4, -3, -8],\n [8, -9, -10, 9, -1, -5],\n [-5, -5, 2, 5, 3, 1],\n [1, 5, -1, 1, 0, 0],\n [-3, 6, -2, 9, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-558", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -10, 10, 0],\n [2, -10, 5, 7, 3],\n [-3, -1, 4, 8, -2],\n [-1, -5, 0, -9, 5],\n [-4, -1, -9, 10, -7]]\nB =\n[[9, -6, -7, -10, -3, 4],\n [5, 9, 3, 10, -8, 3],\n [-8, 1, 6, 8, 1, -10],\n [-1, 8, 7, 0, 5, -4],\n [-8, 2, 4, -4, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2004", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 10, -10, 7, -8],\n [-8, -6, -6, 5, 3],\n [8, -5, -3, 6, 10],\n [-7, 1, -10, -1, 5]]\nB =\n[[-4, -4, 5, -7, 6, 1],\n [-5, 0, -4, 5, -8, 8],\n [-1, -7, -1, -8, 6, 7],\n [-8, 4, -2, -2, 9, -10],\n [-10, -6, -4, 10, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1602", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -1, 3, 7, -5, 6],\n [3, -3, 6, -5, -2, -7],\n [7, -10, 0, 3, 0, 1],\n [10, 8, 4, 4, -9, 10],\n [4, 4, 7, -1, 10, -10],\n [6, 2, 6, 3, -2, -8]]\nB =\n[[1, -3, -4, -7],\n [0, -7, 0, 8],\n [7, 1, -10, -6],\n [-8, -7, 5, 2],\n [9, -8, -2, -5],\n [-9, -1, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-643", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-10, -1, 0, -6, -4],\n [1, -1, -8, 8, 7],\n [9, 7, -9, 4, 1],\n [-7, 9, 3, 6, 9],\n [7, 0, -9, 3, -5],\n [5, -8, 3, 3, -4]]\nB =\n[[9, -5, -6, -6],\n [9, -8, -10, -8],\n [4, -6, -5, -10],\n [9, 1, -3, -2],\n [-2, 5, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 6, 7, -6, 2],\n [-10, 9, -7, -9, -5],\n [6, 7, 8, -9, -7],\n [2, -2, -7, -8, 5],\n [7, 8, -9, -1, 1]]\nB =\n[[-5, 10, -5, -4, -9],\n [-5, -1, 4, 6, -6],\n [1, -2, 10, 10, 3],\n [-1, -3, -10, -9, 1],\n [2, 5, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-5, -8, -3, 7],\n [10, 7, -10, -5],\n [-10, 10, 0, 9],\n [-7, 10, 5, 8],\n [-1, 1, -9, -9],\n [1, -5, 3, 4]]\nB =\n[[5, -3, -7, 4, -2],\n [-2, 8, 9, 0, -4],\n [-1, -9, -4, 7, -4],\n [-5, 10, -5, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 10, -9, 10],\n [-7, 9, -2, -9],\n [7, 1, -1, -8],\n [-7, -6, -7, -2],\n [-7, 7, -8, 1],\n [5, 0, 6, 10]]\nB =\n[[-2, -10, -6, 3, 7, -7],\n [7, -4, 6, 7, 1, -10],\n [0, -5, -9, -6, 0, -4],\n [-5, 9, 7, -10, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2345", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 8, 10, 0],\n [10, -2, 10, -3],\n [1, -2, -1, -8],\n [-7, 1, -4, 1],\n [-9, 2, 7, -9],\n [-4, 8, 9, -8]]\nB =\n[[2, 6, -10, 8],\n [-10, -5, -2, 8],\n [8, -1, -6, -7],\n [7, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, 4, -5, 6, -7],\n [10, -10, 5, -10, 7, 0],\n [2, 4, 10, -9, -9, 3],\n [2, 1, 3, 4, 7, -9]]\nB =\n[[5, 3, 9, 4],\n [8, -5, 2, -7],\n [0, -6, 1, 3],\n [-10, -3, -6, -6],\n [7, 0, 5, 3],\n [7, -7, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -8, -5, 2],\n [-5, 4, -10, 0],\n [10, -3, 0, -9],\n [-10, 0, -9, -9]]\nB =\n[[-8, -2, 2, 1, -3],\n [10, -7, -4, -4, -2],\n [-5, -8, -9, -3, 1],\n [-2, -10, -4, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1481", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[0, 10, 7, 6, 10, -7],\n [10, 1, -10, -8, 3, -2],\n [-7, -3, -1, 6, 1, -3],\n [3, -7, -10, -9, 2, 7],\n [4, 8, -10, 4, 8, -6]]\nB =\n[[9, -1, 9, 8],\n [-2, 3, 4, 7],\n [6, -4, 10, -8],\n [3, -9, -8, -3],\n [-2, -2, -1, 3],\n [-4, 2, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, -7, 6, 2, -1],\n [-7, -3, 7, -6, 3, -2],\n [-6, 2, -4, 10, 7, 4],\n [-10, -9, -6, -9, -10, -4],\n [5, -2, -8, -4, 1, -7],\n [-3, -8, -9, 3, -10, -6]]\nB =\n[[-10, 2, -8, 8, -9],\n [-5, -3, -5, 4, 0],\n [2, -10, 4, -6, -3],\n [-2, -5, 0, 4, 3],\n [2, 3, 4, 0, 9],\n [1, -5, -2, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 9, 1, -7, 8, -1],\n [-6, 9, -10, 8, 8, -5],\n [5, 8, 9, -7, -1, 1],\n [1, -1, -1, -7, 0, -5],\n [2, -5, 8, -1, 0, 0]]\nB =\n[[-3, 10, 9, -7],\n [5, 10, 5, 8],\n [-3, -10, 1, 0],\n [-10, 6, -4, 10],\n [9, -8, 4, -3],\n [-7, -6, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "649", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 6, -6],\n [8, 3, -2, 8],\n [9, 10, 6, -7],\n [2, 4, -2, -6]]\nB =\n[[0, 8, 0, -2, -10, -7],\n [1, 4, 0, 9, 7, -1],\n [6, 3, 2, -1, -7, 7],\n [-7, 8, -2, -1, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1271", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 7, -7],\n [-8, 9, -3, 8],\n [-7, -10, 5, -5],\n [-2, -5, 5, -7],\n [0, -3, 5, 1]]\nB =\n[[3, 3, -10, 3],\n [-2, -3, -1, 5],\n [-5, 5, -5, -5],\n [-10, 1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[10, 1, 3, -10],\n [6, 6, -4, 2],\n [-9, 7, 5, -9],\n [4, 8, 10, 10]]\nB =\n[[-8, -5, -3, -2, 6, 7],\n [-6, 1, 2, -4, 10, -3],\n [-5, 3, -3, -6, -5, 0],\n [-4, 8, -4, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -7, 3],\n [3, -1, -3, -9],\n [-4, 8, -8, -4],\n [3, 6, 6, 7],\n [3, -1, 9, 9]]\nB =\n[[4, -2, 5, 9, -7],\n [-2, 9, -8, 7, 0],\n [-3, -1, -7, -5, 10],\n [-3, -2, -4, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 9, 9, 0, -10],\n [10, 6, -3, -10, 0],\n [5, 4, -8, 10, -3],\n [4, 0, 5, -5, -6],\n [3, -2, -6, 7, 8],\n [-7, -9, -8, -10, 1]]\nB =\n[[4, -8, 1, 4],\n [-5, 2, -2, 10],\n [-7, -3, 3, -2],\n [-3, 2, -7, -9],\n [-1, 7, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -2, 3, -5],\n [-10, -7, -9, -2],\n [-5, -4, 8, 10],\n [9, 9, 1, -9],\n [-8, 5, 5, 6],\n [3, -3, -2, 4]]\nB =\n[[4, 10, 5, -8, -3, -3],\n [-6, -7, -4, 6, 6, 3],\n [8, 10, -4, 10, -3, -8],\n [0, 1, 0, -9, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -9, -6, -1, 9],\n [8, -5, -3, 6, 3],\n [-3, 6, -5, -7, -8],\n [-3, 6, -7, 5, -9],\n [-1, 1, -3, -3, -8]]\nB =\n[[10, 8, -3, 5, -3],\n [3, -5, 6, 6, 0],\n [-2, -8, -7, 0, 6],\n [4, -9, 1, 2, 2],\n [-3, -3, 7, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 3, 10],\n [7, 0, 0, -2],\n [10, 0, -9, -4],\n [-6, 2, -6, 7],\n [-4, -6, -9, 0]]\nB =\n[[5, 7, 10, 0, -7],\n [1, -2, -4, 1, 9],\n [-1, -2, 9, 8, 0],\n [4, -3, -4, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 4, -3, 9, 10],\n [-3, -9, 4, 8, -2],\n [-2, 7, 9, 1, -6],\n [5, -4, 1, 9, -3],\n [5, 4, -9, 5, -2],\n [-8, 6, -3, 3, -3]]\nB =\n[[-3, -8, 6, -5],\n [10, -2, -3, 3],\n [-7, 6, 2, -2],\n [5, 7, -2, -2],\n [8, -1, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, 2, -8, 7],\n [3, -6, 6, 8],\n [1, -4, 7, -3],\n [6, -9, -7, -4],\n [7, -4, -1, 10]]\nB =\n[[-3, 6, 1, 10, -7],\n [-6, -3, -6, 7, 7],\n [2, 8, -8, -8, 10],\n [-4, -9, 5, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -2, -3, -8, -3],\n [-7, 4, 5, 9, 8],\n [3, -10, 8, 7, -4],\n [8, -5, 0, 5, 0]]\nB =\n[[2, -6, 10, 7],\n [0, -7, 10, 9],\n [-4, -5, 6, 9],\n [-6, 6, -5, -9],\n [4, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 6, -10, 2, -8],\n [-4, 6, -1, 7, 9],\n [-8, -7, -8, -7, -1],\n [-10, 7, 5, -5, 8],\n [-10, -9, 9, 10, -1]]\nB =\n[[-7, -9, -8, -8, -7, 9],\n [1, 7, -1, -6, -9, -9],\n [8, -5, 0, -2, 7, -8],\n [-7, -7, -9, 3, 9, -4],\n [-2, -3, -10, 10, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "954", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-2, 8, 9, -9],\n [9, 8, 8, 7],\n [-6, 0, -9, -5],\n [-6, 8, 1, -5],\n [2, -7, -6, 9],\n [-9, 10, -4, 10]]\nB =\n[[-2, -6, 6, 0],\n [6, -6, -7, 7],\n [9, -3, 10, 9],\n [-1, 6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -6, 8, -2, 0],\n [5, 8, 9, 0, 6],\n [0, -6, 7, 6, 7],\n [-7, 7, 3, 4, 3],\n [-10, 0, 1, 10, -5],\n [6, 7, 0, 0, -5]]\nB =\n[[5, -2, 5, -2, -5],\n [1, -6, -6, 2, -2],\n [9, -4, -4, -2, 4],\n [-9, 6, -4, 4, -6],\n [1, 2, 9, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 7, 0, 9, -10, -7],\n [-4, 5, -3, -3, -4, -9],\n [5, 10, -1, -1, -5, -8],\n [6, -6, -7, 0, 0, -9]]\nB =\n[[-6, 1, 5, -9],\n [-10, -1, -1, -10],\n [0, 6, -4, 5],\n [-4, 4, 5, 6],\n [2, 8, -3, 5],\n [-6, -4, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-347", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -3, -6, -10, 5],\n [-6, -1, -1, 4, 2],\n [-7, -4, 8, -7, 3],\n [-5, -6, -10, -6, 0],\n [4, 7, -4, -8, -7]]\nB =\n[[7, 3, 0, -3],\n [1, -1, -3, 5],\n [8, -4, -6, -6],\n [-2, -8, 9, -5],\n [1, -6, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -6, -9, 4],\n [3, -2, -8, -1],\n [2, 3, -10, 8],\n [-5, 6, 2, -6],\n [-5, 7, 9, 3],\n [9, -8, 0, -1]]\nB =\n[[-7, -3, 0, -9, -1],\n [-2, 5, 6, 0, -4],\n [-7, 7, 0, -7, -3],\n [5, 9, -10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 6],\n [-2, -6, -10, -4],\n [-10, 10, 9, 10],\n [-9, 8, -1, 7],\n [-9, -10, 9, 5],\n [7, -10, 10, -7]]\nB =\n[[0, -7, -10, -8, -7, 7],\n [-10, 1, 1, 1, 2, 7],\n [10, 9, 10, 6, 10, 8],\n [-9, 3, 6, -4, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1434", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 2, 10],\n [2, 0, 7, -4],\n [-10, 1, 7, -9],\n [5, 1, 3, -4],\n [-6, -5, 4, 4]]\nB =\n[[-9, 8, -8, 0],\n [-4, -4, -2, 9],\n [0, -7, 8, -3],\n [6, -7, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1199", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -1, -1, 6, -2, 8],\n [-4, -8, 4, -7, 1, 8],\n [-6, 6, 9, -1, 2, 8],\n [0, 9, -10, -4, -5, 3],\n [-4, -2, -6, 8, 3, 9]]\nB =\n[[-1, -1, -6, 4, -7],\n [-10, 0, -1, -2, 5],\n [-8, 5, -6, 10, -5],\n [7, 6, -2, -2, -6],\n [-9, 0, -10, -2, -6],\n [2, 4, 3, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 2, -5, -7, -1, -2],\n [1, 4, -9, -8, 9, -5],\n [-6, -10, -6, -7, -7, -2],\n [0, 1, 6, -3, -9, -2],\n [4, -8, 3, -6, -1, 6]]\nB =\n[[9, 5, 5, -6, 8, -6],\n [-1, -3, 5, 10, 3, -4],\n [-7, 6, 7, 2, -2, 9],\n [5, -8, 3, 4, -2, -3],\n [7, 5, 1, 3, 5, -3],\n [-8, -3, 9, 4, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-446", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, 10, 1, 7, -8],\n [-2, 8, -1, 8, -8, -9],\n [7, 9, -6, -6, 3, -4],\n [4, 0, 7, -10, -1, 4]]\nB =\n[[4, 6, -1, 4, 3, -2],\n [-9, 0, -9, 7, -4, 1],\n [-4, -7, 7, 5, 4, 10],\n [-6, 6, 10, 7, -4, -7],\n [6, -3, 5, 3, 8, 2],\n [1, -5, -5, 7, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, -4, -3, 10],\n [9, 2, 2, -6, -3],\n [6, 0, 9, -4, -7],\n [-9, -5, 2, 5, 4]]\nB =\n[[6, 9, -8, -2],\n [5, 7, 10, -2],\n [3, 7, 8, -8],\n [-9, 2, -9, 10],\n [-8, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 0, 8, -5, 8],\n [4, -5, 0, 0, -4],\n [3, 1, 5, -5, 5],\n [2, -4, 5, -10, 2],\n [7, -7, -9, 8, 8],\n [-10, 1, 9, 10, 1]]\nB =\n[[-7, -10, -10, -9, 10, -9],\n [-6, -2, -2, -10, -3, -10],\n [-3, 8, 0, -10, -4, 1],\n [-6, -2, 1, -3, 5, 6],\n [3, 10, 7, 10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -5, -9, -1],\n [3, -7, -1, -1],\n [-7, 8, 6, 9],\n [-7, -7, 3, -8],\n [1, 8, 0, -3]]\nB =\n[[-7, -5, 3, -5, 4],\n [-3, -7, -3, -9, 9],\n [1, -9, 4, -3, 1],\n [-4, -6, 8, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, -2, -3],\n [8, 8, -3, -10],\n [-4, -7, 10, 3],\n [-8, -1, -10, -8],\n [8, 2, -4, -1]]\nB =\n[[3, -7, 3, 0],\n [0, 10, 4, 5],\n [5, -3, 10, 5],\n [5, 9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 9, 3, -2],\n [-9, -1, 1, 8, 4],\n [0, 7, 0, -10, -10],\n [-4, 8, 1, -10, -3]]\nB =\n[[2, -7, 6, 0, -7, -9],\n [4, 8, -2, -8, 5, -8],\n [6, 7, -1, 3, -8, 4],\n [4, 0, 0, 8, -6, 8],\n [-5, 10, 0, -1, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-2, 9, 6, 5, -1, -8],\n [3, 7, 9, 3, -6, -7],\n [1, 8, 7, -2, 4, 9],\n [2, -10, -1, 5, 6, 3],\n [5, -4, 10, -10, 4, -8]]\nB =\n[[-7, -8, -3, -2, 4, 6],\n [0, 2, 6, -2, -6, 2],\n [-9, 2, 1, 4, 0, 0],\n [-5, 0, 9, 0, 2, -9],\n [10, 7, -10, 3, -1, -1],\n [-9, -7, 9, -3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-3, 8, -2, -8],\n [1, -2, 3, 4],\n [-4, -4, 1, -10],\n [10, 6, 4, 4],\n [3, -4, -5, -9]]\nB =\n[[-6, 3, 1, -4, 2],\n [-6, -5, -10, 1, 1],\n [6, 10, 0, 5, 0],\n [-9, -9, -4, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[0, -1, -3, 3, 8],\n [4, -9, 2, -5, -9],\n [7, 1, 9, -8, 1],\n [-9, -2, 5, -10, -4],\n [-2, 9, 3, -10, 10]]\nB =\n[[9, 7, -7, -1, -5],\n [-2, 3, 6, -6, -9],\n [-2, 7, 5, 8, -7],\n [1, -4, -3, 0, 8],\n [-7, -8, 6, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -4, -7, -1],\n [-4, 7, 9, -2],\n [-5, -3, -1, -1],\n [-1, -4, 0, -7],\n [5, 5, 10, 8],\n [10, -5, -6, -3]]\nB =\n[[5, -10, -6, -9, 8, -6],\n [-2, 5, -8, -6, 6, 8],\n [-4, -10, -3, -2, 3, -6],\n [6, 9, 8, 2, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[6, 6, 10, 10, -4],\n [-2, 3, 8, 5, 5],\n [0, 4, -1, -4, 7],\n [9, -6, -10, -8, -1],\n [3, -4, 3, 6, -3]]\nB =\n[[4, -9, 3, -4],\n [-1, -3, 10, -9],\n [9, -6, -2, 0],\n [5, 10, 4, -4],\n [9, 10, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-8, -1, 4, 4],\n [2, 2, 5, -10],\n [9, -10, 3, -6],\n [10, -10, -9, 5],\n [1, -8, -1, 8]]\nB =\n[[-8, 6, 3, -9, 5],\n [6, 1, 6, 10, -8],\n [2, 7, 9, 1, 6],\n [5, -7, 3, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-10, -9, 0, 1, -10, 8],\n [0, 2, -7, 7, 4, 7],\n [-8, 6, 8, -6, 5, -8],\n [-1, 0, -2, -9, -10, -7],\n [3, 10, -8, -5, -7, 2]]\nB =\n[[8, 1, -4, 1, -6],\n [2, -3, 7, 1, -2],\n [-5, 1, -6, -8, 7],\n [3, 9, 1, -2, 0],\n [-2, 4, -4, -2, -6],\n [9, 3, -7, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -2, 0, 4, 10],\n [-2, 5, 1, -2, -7],\n [5, 6, -6, -10, -6],\n [-4, -5, -6, -4, 5],\n [3, 4, 6, -4, -5]]\nB =\n[[9, -9, 3, -8, -2],\n [-2, 2, 0, -2, 6],\n [7, 6, 6, -7, 2],\n [-3, -9, 1, 0, -7],\n [-2, -3, 7, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[6, 8, -8, -5, -2],\n [7, 4, -4, 6, -2],\n [9, -6, -5, 5, 3],\n [9, -6, -7, -4, -10],\n [-6, -2, -1, 7, 9],\n [-2, -7, 0, 4, -5]]\nB =\n[[1, -3, -6, -1],\n [6, 5, -5, 3],\n [-7, 0, 10, 6],\n [2, 1, -3, 0],\n [-2, -4, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 5, -8, 3, 4],\n [0, -5, -1, -2, -4, 5],\n [7, 3, 3, 9, -6, -10],\n [0, 3, -4, 1, -9, 0]]\nB =\n[[7, -9, -9, -4],\n [2, -2, -1, 5],\n [9, 5, -6, 0],\n [-9, -1, -3, 2],\n [3, 6, -5, -9],\n [-4, 7, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -3, -1, 10],\n [-3, -9, 5, -4],\n [-3, 4, 4, -1],\n [-9, -8, 9, 3]]\nB =\n[[2, -8, 7, 4, 9, -8],\n [6, 7, -1, -3, 5, 7],\n [2, 8, 8, -2, 8, 8],\n [1, -8, 3, 7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -10, -7, 5, -7, -7],\n [-9, -5, 1, 0, -7, 4],\n [6, 3, 8, 3, 8, 6],\n [-5, -10, -9, 9, -2, 6],\n [8, 1, 9, -5, 9, 9]]\nB =\n[[-10, -7, 9, -8, 5, -5],\n [-10, -1, -5, 6, -5, 10],\n [-5, 0, 4, -5, 4, -9],\n [-8, 1, 4, 9, 5, -6],\n [10, 2, -6, 1, 4, 9],\n [-2, -6, -8, 3, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -7, -3, -1],\n [0, 7, 8, 6, 1],\n [9, 0, -2, 8, 5],\n [3, 10, 4, 7, -1]]\nB =\n[[-6, -6, -2, -7, 2, 4],\n [-5, -8, -2, -10, -10, 8],\n [5, 7, -9, -9, 6, -10],\n [3, -9, -1, -9, -9, 9],\n [-8, 8, 8, 10, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1895", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -4, -2, -9],\n [-8, 3, 7, 2],\n [6, 4, 0, 2],\n [-2, 5, 4, -8],\n [1, 8, -8, 8],\n [8, -2, 9, -2]]\nB =\n[[-8, -6, 8, 6],\n [6, 5, -9, 6],\n [-1, -6, -4, 8],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -9, -1, 6],\n [-10, -1, -10, -2],\n [7, -10, -4, -9],\n [6, 0, -7, 1]]\nB =\n[[7, 2, -9, 1, -5],\n [-4, -6, -3, -4, -6],\n [4, 1, -8, -10, 7],\n [-1, -8, 2, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1056", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[9, -5, -2, 0, 8, 8],\n [-10, 10, 8, -9, 8, 10],\n [4, -5, 0, -2, -6, -6],\n [10, -1, -10, -5, -4, 8]]\nB =\n[[10, -6, -8, -8, 0, -8],\n [1, -9, -2, -8, 7, -5],\n [-2, 9, 3, 5, -3, 8],\n [-2, 2, -4, 9, -6, -4],\n [-6, -3, 9, -9, 10, 2],\n [-10, 5, 1, 6, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-4, 4, -10, 6],\n [10, 7, -5, -7],\n [1, 0, 8, 1],\n [-9, 10, 5, 4],\n [-10, 9, 9, -9],\n [6, -2, -7, -5]]\nB =\n[[1, 5, 6, 4, 4],\n [-3, 2, 3, -5, 2],\n [10, 2, 8, -2, -9],\n [-8, 1, 4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 10, -7, -6, 10, 2],\n [-3, 8, 10, 10, -10, -3],\n [8, -5, -8, -1, 9, -8],\n [7, -5, 3, -2, -3, -7],\n [5, 1, -9, 3, -10, -3],\n [10, -9, -7, -6, 4, 2]]\nB =\n[[7, -6, -9, -6],\n [6, 8, 2, 7],\n [-10, 4, 3, 8],\n [-5, 8, 9, 4],\n [-4, -4, -9, -1],\n [2, -1, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2853", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 8, -10, -4, 8],\n [-5, 3, 4, -10, 6],\n [-7, -1, -9, 9, -3],\n [10, 4, 5, 9, 10]]\nB =\n[[-1, -1, 4, -7, 6],\n [1, 5, -2, 6, -8],\n [2, 1, 2, 0, 2],\n [-3, -4, 5, 2, 8],\n [10, 9, 8, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1504", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 1, -10, 2, 10],\n [4, -9, 5, 5, 7],\n [-7, 6, -2, -7, 10],\n [-3, 9, 3, 8, -5],\n [-3, -8, -6, -8, -2],\n [8, -4, -3, -1, -1]]\nB =\n[[6, -6, -5, 4, 7, -10],\n [-5, -4, -3, -10, 7, 2],\n [6, 4, -7, 8, -6, -6],\n [9, 8, -6, -1, -1, 5],\n [-9, 9, -5, -9, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2688", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -1, 4, 2, 9, 1],\n [8, 8, 3, 5, 2, 9],\n [2, -10, 4, 6, -5, -6],\n [-4, 3, 8, 2, -4, -7]]\nB =\n[[-7, -1, -8, -5],\n [-7, -7, 0, -6],\n [5, -3, 8, -4],\n [7, -9, 4, 8],\n [-1, -10, -2, -4],\n [10, 10, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, 7, -6, 0, 5],\n [1, 1, -1, -9, 10, 0],\n [-10, -10, 7, -5, -6, -4],\n [10, 0, 8, 8, 0, 4],\n [-8, -5, 0, 4, 8, 9],\n [-5, 1, -9, 5, 10, -1]]\nB =\n[[-4, 1, -8, 0],\n [-7, 4, 2, 6],\n [4, -4, -4, -5],\n [-2, 7, 9, -9],\n [-6, 4, -8, -2],\n [2, 10, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 4, -5, 4],\n [9, -2, -9, -2],\n [-9, -2, 1, 5],\n [-4, 0, -1, 2],\n [-1, 10, -1, -6]]\nB =\n[[2, -3, 0, 1, 3, -7],\n [8, -10, -5, -2, -6, 8],\n [-10, -6, -4, 7, 5, 3],\n [-10, 5, 6, -7, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1454", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -7, -7, 1, -8],\n [-9, -7, 8, -9, 8],\n [8, 7, 6, -7, -3],\n [-1, 8, -7, -4, -2],\n [2, -5, 10, -7, -4]]\nB =\n[[4, 1, -4, 7, -2],\n [6, -5, 3, -1, -10],\n [3, 6, -8, 6, -3],\n [-6, 4, 4, -2, -10],\n [-5, 10, -2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 5, -6, -10, 4, 3],\n [2, 8, 1, 4, 0, -2],\n [4, 0, -1, 10, 1, 1],\n [-5, 4, -3, -9, 4, -7],\n [1, 8, -8, 3, 7, 9]]\nB =\n[[-3, -8, 1, -10],\n [-7, 7, -7, 7],\n [5, 7, -3, -8],\n [-7, 2, -6, -8],\n [10, -6, -5, -2],\n [6, 9, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, 2, 1, 1],\n [-1, -1, 10, 1, -1],\n [2, 0, -3, -8, 4],\n [0, 3, 9, -6, -2],\n [7, 4, -2, 2, 5]]\nB =\n[[-7, -6, 6, -10],\n [5, -10, -8, 1],\n [-7, -6, 6, 4],\n [1, -2, -3, -8],\n [-9, -1, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-6, 3, 0, -10, -2, -1],\n [2, 0, 9, -9, 8, 2],\n [-9, 5, -6, 2, -4, -2],\n [10, 8, 10, 10, 0, 4]]\nB =\n[[4, 9, 2, 10],\n [-4, -2, 3, -8],\n [-1, 8, 8, 8],\n [8, 2, -6, -10],\n [1, 4, 4, 4],\n [-3, 0, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 6, -6, 7, 1, 10],\n [0, 9, 10, 10, -6, 1],\n [6, 2, -5, 3, 2, 6],\n [-6, -4, 0, -6, 0, 10],\n [10, 10, -7, -1, 8, -2],\n [-4, 3, 6, -10, 4, 4]]\nB =\n[[9, -3, 1, -8],\n [-3, -2, -1, -7],\n [9, -1, 6, 5],\n [4, 4, -9, -1],\n [10, 2, -9, 0],\n [1, -2, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 8, -5, -3, -3, -10],\n [-4, -2, 7, 9, 5, -5],\n [-9, 1, -4, 1, 0, -5],\n [-9, 1, 1, 5, 3, 0]]\nB =\n[[-7, -4, -3, 0, -9, 3],\n [3, -3, -7, 2, 7, 8],\n [4, -3, 5, -9, -3, -8],\n [0, -7, 3, 0, 10, 4],\n [-1, -3, 4, 2, 10, 6],\n [8, 6, 1, 9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-9, 3, -4, 10, 1],\n [-7, 3, 2, -4, 4],\n [-7, 5, -2, 9, -5],\n [-2, 1, 7, 6, -4],\n [10, -2, -9, 0, -8],\n [0, -1, 0, -1, 6]]\nB =\n[[-3, -2, -8, -2, 3],\n [-4, -4, 10, 2, 10],\n [4, 6, -10, 5, 4],\n [-6, -8, -4, -6, -5],\n [5, -2, -7, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[0, -1, 0, -4, 3, 0],\n [-3, 1, -1, -3, -1, -4],\n [-1, -10, 6, -5, -9, -3],\n [0, 9, -1, -8, 10, 3]]\nB =\n[[-5, 8, 1, 5],\n [-10, -2, -10, -5],\n [1, 0, 4, -7],\n [-8, -6, 2, -8],\n [6, -4, 3, 7],\n [2, 4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, -9, 9, -3],\n [5, -7, -3, -3, -5],\n [-5, 0, -8, 2, -8],\n [0, -2, -7, 2, -7]]\nB =\n[[-1, 5, 6, 8, -1],\n [-5, -7, 4, 4, 0],\n [10, -9, -1, -1, 7],\n [-8, 3, 6, -3, -2],\n [-1, 7, -4, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-560", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -1, 2, 3],\n [-2, 4, 4, 5],\n [1, 4, -1, -5],\n [-7, -10, 7, -3]]\nB =\n[[7, -5, 6, 8],\n [5, 3, -1, -1],\n [3, -9, 0, -10],\n [-4, -3, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -8, 1, 4],\n [-1, 0, -10, 4],\n [-9, 6, -7, -5],\n [10, 4, 10, -6],\n [7, -8, -9, 0],\n [-7, -6, -4, 5]]\nB =\n[[-5, -1, 4, -5],\n [5, 6, 6, -7],\n [4, -7, 0, -10],\n [-9, -7, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[7, 8, 1, 5],\n [7, -6, 6, 6],\n [-8, -7, -9, -7],\n [-7, 3, 5, -4]]\nB =\n[[-6, -7, -4, 4],\n [2, 3, -7, 0],\n [-10, -2, -9, 5],\n [-8, -2, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 10, -1, -3],\n [-1, 8, 7, -8],\n [-5, 5, 8, -10],\n [2, -1, 9, -6],\n [-8, -3, -3, 9],\n [-1, -9, -4, 4]]\nB =\n[[8, -1, -6, -10, -8, -1],\n [0, 7, -1, -9, 2, -1],\n [5, 0, -6, -4, -4, -2],\n [10, 1, 1, 10, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1966", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 9, -5, 2, -10],\n [4, 3, 2, 1, 6],\n [-10, 0, -7, -8, 1],\n [-5, 3, 5, 2, 4]]\nB =\n[[-10, 1, -2, 8, 1],\n [-1, -2, 7, -3, 10],\n [-4, -7, -3, 9, 8],\n [-2, 9, 8, 9, -9],\n [9, -3, 9, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 0, -2, 6, 1, 9],\n [-9, -10, 0, 0, 0, 1],\n [9, -9, 1, 4, -3, 0],\n [-8, -8, -7, 4, 5, -6]]\nB =\n[[-2, 10, 4, 5, -2, -10],\n [-1, -6, 8, 10, -5, 4],\n [1, 6, 4, -1, -8, 7],\n [-8, 6, -4, 6, 6, -6],\n [8, 5, 5, -7, -8, 8],\n [-4, -6, 7, -7, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 10, -1, -8, 3],\n [-5, -5, -2, -3, 9],\n [5, -10, -4, 0, 8],\n [-1, -8, -10, 0, -4],\n [6, -4, 7, 0, 8],\n [-6, -3, 3, -5, 6]]\nB =\n[[-9, -5, 7, 0, -1, 7],\n [-9, 1, 7, -7, 4, -1],\n [4, 8, -5, -9, -8, 9],\n [-6, -3, 5, 0, 10, -8],\n [3, 10, -4, -10, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2322", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 2, -6, 0, -9, -10],\n [-1, 10, -4, -5, 9, -4],\n [-6, 9, -8, 7, 1, 4],\n [-8, -8, 6, -7, -6, 0],\n [7, 10, -2, -7, 5, 8],\n [-9, 5, 10, 2, 1, 10]]\nB =\n[[6, -10, -6, -8],\n [-10, 8, 2, -5],\n [-8, 8, 2, -1],\n [-2, 10, -6, -3],\n [-3, 10, -7, -1],\n [-1, -8, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -6, 9, 6, -3, 6],\n [0, -7, 5, -1, 2, -1],\n [1, -2, -6, -4, -3, -3],\n [-9, -1, -7, -7, -2, 4],\n [0, -1, -5, -5, 8, 7],\n [-5, -2, 0, 8, 8, 10]]\nB =\n[[3, -10, 0, -3, -7],\n [9, -8, 7, -10, -4],\n [-3, 2, -9, 2, 8],\n [1, -2, -3, 2, 3],\n [8, -5, -3, 7, 7],\n [0, 10, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1949", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 9, 5, 3],\n [-9, -2, 4, -8],\n [-2, 9, -2, 9],\n [8, -1, 6, 6],\n [6, 1, 10, -9],\n [5, 3, 4, 8]]\nB =\n[[7, 2, 8, 2, 1, -6],\n [5, -1, 7, -5, -1, -9],\n [-7, 0, -2, -2, -10, -1],\n [4, 5, -2, 8, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1975", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -7, 4, 7],\n [7, -3, 4, 10],\n [0, -8, 6, 10],\n [10, -2, -6, -5]]\nB =\n[[4, -6, -1, 8, 0, 8],\n [-1, -6, 7, -2, -2, 0],\n [6, -5, 1, 4, -4, 2],\n [10, -3, -3, -10, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -3, 0, -10, 0],\n [0, 8, 4, 3, -3],\n [-6, -4, 1, -4, 5],\n [-2, 0, -9, 6, -4],\n [9, 3, 1, 4, 5],\n [1, -10, 10, -6, -6]]\nB =\n[[1, 3, -2, 8, 3, -6],\n [-6, 7, 7, 0, 8, -9],\n [-7, 7, 4, -7, 6, -6],\n [-6, -6, -9, -6, 3, 10],\n [2, 0, -9, 2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1825", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-1, -5, 8, 4, 6, 0],\n [-6, 9, -3, 2, 10, -3],\n [7, 7, -7, -1, 0, 10],\n [-8, 9, -1, 1, 5, 8],\n [-5, -3, 2, 6, 10, 2]]\nB =\n[[5, 6, 0, 3],\n [2, 9, -1, 8],\n [-6, -5, 10, 0],\n [6, -6, -2, 6],\n [5, 7, -2, -10],\n [3, 6, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -4, 3, 9],\n [0, -7, -5, -4],\n [2, 9, 0, 4],\n [4, -6, 1, 4],\n [2, -6, 9, 3]]\nB =\n[[-9, -1, -6, 9, 5],\n [9, -3, 3, 9, 2],\n [-9, 9, 7, -4, -4],\n [-1, 6, -6, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, -1, 1, -6, 5],\n [7, 1, 4, 2, 4, -2],\n [-2, 9, -2, 4, -7, -2],\n [-4, -1, 6, 3, -2, 7],\n [0, -4, -7, 2, 7, 5],\n [6, -4, -7, -1, -7, 2]]\nB =\n[[1, 8, -2, -9, 10],\n [10, 8, 7, -3, 0],\n [-3, 2, 0, -6, 10],\n [-1, 10, -1, -7, 9],\n [3, 4, 4, 7, 7],\n [8, 9, 4, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, -10, -8, -1],\n [8, 5, -3, 4, -6],\n [-5, 4, -10, 8, -9],\n [-10, 0, 10, -5, 6],\n [-3, -6, -9, -2, 6],\n [5, -2, -3, -10, 2]]\nB =\n[[-7, -9, 0, 4],\n [0, -7, -8, 7],\n [-8, 4, -5, 5],\n [-7, 6, 8, -7],\n [7, 7, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, 8, -6, -8],\n [-8, 4, 9, 5, 6],\n [5, 10, -10, 7, 4],\n [-9, -7, 7, -3, -6],\n [8, -8, 9, 1, 8]]\nB =\n[[6, -1, -5, 3, 6, 0],\n [-2, 1, -6, 0, 10, 8],\n [4, 9, 3, -4, -2, 3],\n [5, 7, -3, 6, 8, -7],\n [-10, -2, 1, -6, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 3, 3, 8],\n [-2, -10, 6, 8],\n [-1, -7, 9, 9],\n [4, -4, 0, -1],\n [-2, -1, 0, 2],\n [-1, 1, 5, 0]]\nB =\n[[9, 6, -2, -2, -3],\n [10, 9, 0, 3, 8],\n [-4, -10, 7, -1, 10],\n [4, 5, 9, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1520", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 0, 6, -8, 0, 4],\n [-5, 0, -7, -6, -9, 9],\n [2, -7, -4, -9, 6, -5],\n [6, -6, -2, -7, -7, 0],\n [-8, 10, 6, -3, -2, 0],\n [1, -8, -3, 4, -7, 8]]\nB =\n[[-9, -1, -8, 5, 1],\n [1, 9, -6, -9, -7],\n [-7, -6, -10, 0, 9],\n [5, 6, -2, -2, 4],\n [9, 10, -9, 9, -2],\n [2, 5, -1, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1850", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[10, -8, 9, -4, 2],\n [-10, -1, 5, 1, -3],\n [-4, -3, 4, 8, -6],\n [8, -1, 2, -7, -5],\n [4, 5, -9, -6, -1],\n [-10, 4, -8, 7, -7]]\nB =\n[[-4, 3, 7, -6, 3, -1],\n [10, -5, -2, 10, 0, -10],\n [-8, 4, -4, 9, 1, -1],\n [5, 10, -1, 4, 3, 8],\n [0, 7, -2, -2, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -6, -1, 1, 4],\n [8, 10, -8, -9, -10],\n [8, 0, -7, -1, 2],\n [-4, 6, 2, -5, -5],\n [5, -5, -8, -1, -6]]\nB =\n[[0, 8, 5, 3, 8],\n [0, -2, 10, -8, -1],\n [9, 4, -5, -10, 7],\n [0, 3, -7, 3, -3],\n [0, -1, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -1, 4, 2, 1],\n [-4, 0, -8, 5, 0],\n [5, -4, 2, 10, 2],\n [1, 0, 0, -1, -5],\n [7, 3, 3, -9, -10],\n [-2, -1, 2, 4, 3]]\nB =\n[[4, 3, 7, 3, -10],\n [-8, 5, -1, -3, -8],\n [-1, 2, 1, 0, 10],\n [-1, 10, 1, -8, -8],\n [-2, -8, 7, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -5, -1],\n [-10, 6, 5, -2],\n [-5, -8, -10, 5],\n [8, 3, 3, 2],\n [-7, 5, 2, 7],\n [4, 3, 8, -10]]\nB =\n[[0, 10, 3, -8, 5, 8],\n [-5, 3, 0, -8, 4, -5],\n [0, 3, 7, 4, -5, -5],\n [1, 4, -1, -2, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1852", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -9, 4, -9, -8],\n [-7, 9, -4, -6, -2],\n [10, 6, -6, 10, 8],\n [3, -2, -8, 4, -3]]\nB =\n[[7, 4, 2, -3, -6, 2],\n [-7, -9, -8, 7, -5, 8],\n [-2, 9, 8, -1, -2, -5],\n [3, 8, 3, -3, -1, -9],\n [-6, 1, 9, -8, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -3, 7, 3, -5, 7],\n [6, -4, 7, 6, -9, 0],\n [-1, -10, 0, -10, -6, -6],\n [7, -3, 1, -5, -9, -6]]\nB =\n[[8, 5, -10, -4],\n [10, 8, 6, -7],\n [-2, 2, -7, -10],\n [-3, 9, -4, 5],\n [-1, -6, 8, -7],\n [-4, 3, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-516", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, 8, -9],\n [-7, -1, -5, -8],\n [-4, 3, -9, 10],\n [-2, 7, -5, 9],\n [-9, 1, 3, 0],\n [-1, -8, -4, 1]]\nB =\n[[7, 7, -1, -4, -9, 6],\n [-4, 0, 1, 5, -3, -10],\n [-3, 1, -1, -5, 3, 1],\n [0, 0, 3, 5, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 4, 1, 7, -1, -4],\n [7, -4, -7, -4, -4, -8],\n [2, -9, 1, 2, 6, -7],\n [-8, 7, -7, 0, -10, 1]]\nB =\n[[3, 6, 1, 10, 2, 7],\n [-3, -7, 3, -7, -8, -6],\n [0, 7, -6, 8, 4, -8],\n [6, -9, -4, -8, -4, -3],\n [3, 8, 6, 7, 8, 0],\n [-9, -1, 1, -5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 0, -6, 8, -2, -9],\n [-7, 7, 6, 4, -3, 6],\n [4, -6, 2, 4, 3, 7],\n [-6, -5, -9, -6, -1, 3],\n [7, 3, 2, -9, -8, -1],\n [0, -1, -7, 6, -1, 4]]\nB =\n[[8, -5, 7, 9],\n [2, -5, -7, 2],\n [3, 3, 6, 4],\n [4, -8, 1, 3],\n [6, 10, -10, 4],\n [-9, -7, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 3, -6, -6, -6, 3],\n [4, -7, -3, -3, 8, 9],\n [0, 5, -8, 3, 9, -2],\n [4, -6, 8, 3, -6, -5],\n [-5, -4, 7, 8, 0, 7]]\nB =\n[[1, 9, 9, -8, -6],\n [-5, 6, 10, 2, 2],\n [-3, 10, -10, -4, -9],\n [1, 7, -4, -5, -2],\n [4, 2, 2, 7, -5],\n [6, 3, -4, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 8, 9, 10],\n [6, -5, 2, 8],\n [1, -9, -5, 2],\n [9, 7, 9, 5],\n [10, 3, 3, -1],\n [-10, 7, -1, -4]]\nB =\n[[0, 0, -6, 1, -6, 3],\n [-6, 8, 0, 4, -1, -4],\n [6, 0, 8, -8, 4, 2],\n [-5, -5, 9, 10, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1419", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -1, 7, 5, 8],\n [-7, 0, 6, 7, 3],\n [5, -6, -5, -6, 6],\n [-2, -3, 8, 3, 0],\n [-6, 4, -3, -8, 6]]\nB =\n[[10, -5, 10, 7, -8, 8],\n [2, -5, 3, 5, -1, 8],\n [4, -9, -1, 7, 8, 4],\n [-3, 6, 4, -1, -10, 7],\n [-5, -3, 3, 1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -3, 9, 1],\n [-6, -2, -1, 9],\n [-10, -7, -3, 5],\n [-1, -5, 2, -10]]\nB =\n[[-9, -2, 8, 0, -5, -1],\n [4, -2, 4, -3, 6, 7],\n [-7, 2, -9, -6, -9, 8],\n [-10, -5, 0, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[10, 0, 8, 2, -9, -1],\n [-2, -5, 9, -9, -3, -5],\n [6, -10, 6, -5, 2, -8],\n [-7, -10, 5, -8, -6, 8],\n [-9, -8, 9, -2, -1, -6]]\nB =\n[[-8, -6, 7, -6],\n [-3, 2, 7, -2],\n [9, 9, 9, -2],\n [10, -2, -6, 0],\n [0, 8, 10, 4],\n [-2, -7, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 5, -1, 10, 4],\n [3, 2, 4, -10, -5],\n [-6, -9, 5, 0, -10],\n [-2, 4, 1, -4, 4],\n [-9, 7, 5, 2, 7]]\nB =\n[[1, -7, -4, -6],\n [-9, -10, -10, 4],\n [5, -9, -7, -1],\n [-4, 6, -10, 2],\n [5, -10, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -3, 7, 9],\n [-10, -10, 7, 10],\n [1, -5, 9, -10],\n [-6, 4, -4, 6],\n [-6, -8, 9, 2],\n [-7, 7, 8, 9]]\nB =\n[[-2, -9, 5, 10, -4, -8],\n [-1, 8, 10, 8, -8, -3],\n [4, 0, -2, -3, -1, 6],\n [-10, -1, 6, -5, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2592", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -7, -4, 6, 9, -4],\n [-4, -4, -4, -8, -2, -7],\n [-6, -2, 10, -8, -2, -3],\n [7, -2, 2, -5, -7, 3],\n [-7, 2, -6, 7, 2, -7],\n [8, 2, -7, 7, -2, -9]]\nB =\n[[10, 4, -9, -6, -5, -10],\n [-7, 0, -5, 9, 8, -8],\n [-9, 7, -10, -1, 9, 9],\n [8, -8, -9, 1, -3, -2],\n [-6, -7, -2, -2, -9, 1],\n [10, -2, 3, -1, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2943", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[10, -3, -3, 7, -4],\n [-8, -1, 9, -3, 9],\n [-4, -9, 6, 5, -7],\n [-2, -2, 8, 3, 1],\n [0, 10, 3, -7, -6],\n [1, 5, 3, -8, -6]]\nB =\n[[0, -5, 5, -9, 3],\n [-10, -5, 3, 9, -5],\n [-3, -7, 6, 6, -8],\n [2, -6, -2, -5, -10],\n [0, 4, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -4, -7, 9, 7, -7],\n [-4, -10, -2, -2, 1, -4],\n [-7, 5, -9, 1, -8, 6],\n [-5, -7, -7, 4, 7, -6],\n [-6, -3, 1, -8, -8, 2],\n [5, 6, 4, 4, -8, 4]]\nB =\n[[10, 8, -8, 5, -1],\n [-3, 5, 2, -8, 3],\n [7, -6, 6, -4, -6],\n [-7, -10, -8, 2, -10],\n [4, 2, 9, 0, 10],\n [-8, -5, -2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -5, -3, 5, 6, -9],\n [6, -4, -10, 2, -5, -2],\n [-4, 2, -6, 5, 4, -1],\n [-3, 9, 7, 4, 4, 0],\n [-5, -1, -3, -4, -5, 8],\n [-7, 3, -3, 4, -10, -8]]\nB =\n[[-1, -6, -9, 3, 7],\n [2, -7, -2, -1, 0],\n [-1, -6, 10, 7, 2],\n [9, -5, 8, -8, -9],\n [2, -4, 0, 3, 2],\n [8, 5, 8, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1802", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -4, 6, -7, -3],\n [-1, -8, 5, -4, 0],\n [5, -8, 10, -8, -2],\n [4, -7, 7, 2, -2],\n [10, 9, -3, 0, -9],\n [-10, 7, 9, -7, 8]]\nB =\n[[0, 5, 10, 2, -10],\n [8, 3, 3, 9, 6],\n [-4, -5, 8, 4, -4],\n [-4, 5, 8, -3, 0],\n [5, -2, 5, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 2, 8, -8, 6],\n [-8, 6, -8, 6, 6],\n [2, -3, 3, -7, 10],\n [-8, -3, -6, -4, -7],\n [1, 2, -6, -5, 10],\n [-5, -2, 0, -3, 4]]\nB =\n[[0, 4, 10, -5, 6, 7],\n [-7, -1, -4, -10, -5, 7],\n [-10, 6, -3, -9, 5, 5],\n [-1, -8, -2, 10, 9, -6],\n [-6, 6, -9, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2446", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 5, 9, -2, -5],\n [-1, 7, 4, 1, -6],\n [10, -6, -1, -3, 10],\n [-3, -9, -7, 4, -7],\n [-3, 6, -8, 10, -6]]\nB =\n[[8, 10, 5, 8, -8],\n [-9, -6, 6, -9, -7],\n [-7, -10, -10, -9, -5],\n [2, -1, 3, -10, 2],\n [-2, -5, -7, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2311", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 0, -5, 6, -10],\n [4, 8, 8, 2, -4],\n [-3, -3, 5, -1, -6],\n [-4, -2, -8, -1, -10],\n [2, 6, 1, -9, 3]]\nB =\n[[-6, -3, 1, -4, -1, 8],\n [1, 2, 9, 1, 10, 0],\n [10, -7, 0, -7, -1, -2],\n [0, 4, 3, 5, -4, 8],\n [10, -3, -8, -5, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 0, 9, 6, -8],\n [2, -5, -9, 3, 3],\n [10, -3, 9, 10, -4],\n [-8, 9, 5, 10, 1],\n [9, -1, -5, 7, -2],\n [-2, 6, 1, 1, -2]]\nB =\n[[-2, 0, 5, -6, 7, 0],\n [10, 5, 8, 4, 10, 3],\n [10, 2, -1, -5, 8, -5],\n [4, 2, -3, -10, 8, 5],\n [5, -9, 10, 6, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -8, -6, -8],\n [5, 8, -5, -4],\n [-7, -7, 5, -8],\n [-1, -8, -8, 10]]\nB =\n[[5, -9, 2, -9, -1, 1],\n [6, 0, -2, -7, 9, -10],\n [-8, 2, -6, 7, -9, 2],\n [-4, 3, -2, 6, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1689", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -10, 9, 3],\n [6, -7, -10, -9],\n [3, 1, 2, -5],\n [-8, 10, 1, -7]]\nB =\n[[-8, 8, -7, -7, 9, -4],\n [10, -9, -2, 4, 3, -3],\n [-2, -5, -7, 9, -9, -3],\n [1, -4, 3, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1577", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-1, -7, -9, 1, -4, 8],\n [7, -10, 10, -3, 3, -5],\n [9, -2, -9, -4, -8, -5],\n [-9, -6, 5, -4, 5, 0],\n [-7, 3, -3, -6, 6, 5]]\nB =\n[[10, 8, 8, -8, 6],\n [3, 6, 7, -1, -6],\n [-7, 6, -9, 7, -7],\n [5, -6, -3, 3, -5],\n [-5, 1, 3, -1, 1],\n [5, 9, 5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, 1, 0, -5],\n [2, -2, -8, 2, -10],\n [5, 0, -5, 4, 2],\n [1, 1, -3, -5, 10]]\nB =\n[[8, 5, 1, -1, -10, -6],\n [-3, 4, -8, 6, 1, 10],\n [10, 3, 9, -8, -7, 7],\n [-1, -7, -4, -3, 10, 0],\n [2, -9, 9, 8, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, -5, -2, -7, 6],\n [-5, 1, -1, 9, 0, -10],\n [-1, -5, 9, -5, 0, -7],\n [-7, -3, 10, -6, 10, -6],\n [-5, 6, 7, 1, 1, 8],\n [4, 1, 0, -7, 10, -2]]\nB =\n[[6, -1, -9, -5, 0],\n [7, -9, 1, -6, 7],\n [4, -5, -8, -6, -2],\n [-5, 8, -8, 2, -1],\n [8, -2, 7, -8, -8],\n [4, 6, -8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 9, 4, 10, 3, -9],\n [-10, -3, 6, 3, -3, -3],\n [3, 10, 8, 0, 5, 10],\n [2, 7, -8, 5, -1, -5]]\nB =\n[[9, -2, 7, 8],\n [-4, 4, -2, 7],\n [9, 0, 1, 5],\n [-9, 1, -8, 9],\n [6, 1, 2, -5],\n [7, 6, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -2, -7, 0],\n [6, 4, 6, 1],\n [4, 10, 1, 6],\n [-7, 7, 7, -3]]\nB =\n[[-3, -3, -7, -2, 10],\n [2, 1, -1, -4, -6],\n [0, 10, -8, 4, 2],\n [6, -10, -3, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 3, 5, -3, -5],\n [5, 1, 9, 8, 7],\n [-2, -7, -1, -1, 5],\n [-7, 9, 5, -4, 8]]\nB =\n[[1, -7, -1, -4, -1, 9],\n [2, -9, -6, -9, 1, -6],\n [-8, -7, -4, -9, 1, 4],\n [-3, 2, 4, -3, -7, -2],\n [-2, -4, 9, 0, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1419", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-9, 0, 8, 1, 7],\n [-8, 10, 1, 6, -10],\n [2, -8, 3, 0, 6],\n [-2, -5, 6, 5, 6],\n [1, 8, 3, 10, -9]]\nB =\n[[-5, 3, 5, 9, 5, -7],\n [4, 5, -8, 10, 2, -2],\n [-1, 7, -8, 7, -5, 4],\n [-5, -9, 4, -7, 6, 3],\n [-10, -3, 9, 5, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-10, 1, -2, 2, 4, -5],\n [-9, 3, -4, 10, 8, 9],\n [-2, 8, -2, 4, -10, -5],\n [-8, 4, -7, 6, -10, -9]]\nB =\n[[-5, 0, 6, 5, -10, 8],\n [-10, 7, -3, -7, -3, 6],\n [-7, 2, 10, 4, 6, 9],\n [3, 5, 2, -8, 6, -7],\n [10, 4, 10, -1, -10, 8],\n [-3, 4, 0, 1, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -1, 4, -5, -2],\n [-2, -3, -3, -10, 5, -8],\n [1, -6, -8, -7, 0, -3],\n [8, -9, 3, 9, 1, -9],\n [-10, -10, 3, 3, 0, -9]]\nB =\n[[4, 0, 9, 3, 4, 2],\n [3, -6, 8, -8, 6, 0],\n [-9, 2, -5, -10, -10, 2],\n [6, 5, 7, -6, -1, 0],\n [0, -6, -3, -3, 0, -1],\n [-10, 8, 1, 0, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1892", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 4, 3, -3, -3, 2],\n [-3, -2, -6, -4, -3, 0],\n [2, -10, 3, -10, 7, -1],\n [6, 8, -4, -3, 6, 6],\n [4, 9, 2, 4, -1, 8]]\nB =\n[[4, 1, 1, 9, 6],\n [-9, 5, 0, 1, 0],\n [7, 10, -6, 2, -1],\n [7, -4, 6, -9, 7],\n [-9, 7, -7, 9, -5],\n [-9, -6, -8, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-376", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[10, 1, 7, -7],\n [7, -7, 7, -7],\n [-2, 7, 3, 6],\n [-10, 1, -10, -10],\n [-10, 7, 8, -4]]\nB =\n[[-5, -4, 7, -6, 7, -5],\n [-2, 3, 4, 0, -3, -2],\n [1, 2, -2, -9, 6, -9],\n [-3, -2, 2, 10, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -5, 2, 8, -5],\n [-3, -7, 0, 10, 0],\n [7, -1, 8, 8, -8],\n [-1, 5, 0, -2, 9]]\nB =\n[[4, -1, 8, 0, -9, -1],\n [-4, 10, -4, 10, 8, 1],\n [-7, -4, -8, 9, 2, 4],\n [3, -8, -5, -7, 2, -7],\n [3, -3, -5, -7, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1324", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, 6, 3, -1],\n [0, 6, -1, -3, -3],\n [-7, -5, -7, -10, 10],\n [2, 1, 2, -1, 9],\n [3, -6, 9, 7, -10]]\nB =\n[[10, 1, 2, 8, 5, 3],\n [-4, -4, -7, 6, 7, 3],\n [3, 2, -4, 1, -7, 10],\n [5, -10, -8, 3, -10, -10],\n [9, -9, -5, 7, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 3, 6, -8, -6],\n [10, -8, 1, -7, 9],\n [0, 10, -7, -7, -5],\n [-5, 9, 8, -8, 0],\n [-2, -5, 1, 8, 9],\n [9, 0, 2, 8, 0]]\nB =\n[[9, -4, 1, 10],\n [3, 7, -2, -9],\n [3, 10, 3, -2],\n [-3, -9, -6, 4],\n [-1, 10, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[4, 2, 0, 3],\n [-7, -4, 4, -6],\n [4, 3, -5, 7],\n [-1, -8, -6, 6]]\nB =\n[[1, -8, 8, 9, -6],\n [-9, 4, -3, -7, -10],\n [-1, 9, -1, 10, -8],\n [-7, -4, 3, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 1, 10, 9],\n [5, -10, 10, 6, 7],\n [3, -3, 0, 4, 6],\n [-9, 0, -10, 1, 7],\n [-1, 4, -9, -2, 1],\n [4, 1, -2, 0, 1]]\nB =\n[[-7, -6, -1, 9],\n [-1, -2, 10, 6],\n [-9, -9, 5, 0],\n [2, -8, 5, -3],\n [-6, 7, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -4, 8, -4, -10, 4],\n [-9, -6, -9, -1, 6, 5],\n [9, -9, -1, -8, -7, 5],\n [-2, -4, -8, -8, -5, 2]]\nB =\n[[-10, -9, 6, -6],\n [-3, 10, 5, -8],\n [2, -8, 2, 1],\n [10, 6, -7, -5],\n [-1, 8, 1, 9],\n [-9, -5, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -9, -1, 0, -9, 6],\n [-2, 1, 8, 8, -3, -6],\n [-7, 2, -2, -9, -5, -4],\n [7, -5, -9, 10, 1, -4],\n [1, -10, -9, 4, 3, -7],\n [2, 9, 8, 6, 9, -5]]\nB =\n[[10, 5, 0, -7],\n [-4, 3, 5, -7],\n [5, 0, -6, 4],\n [7, -2, 1, 7],\n [1, -9, -3, -1],\n [-9, 7, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1536", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 6, -1, -1],\n [-8, 8, -10, -3],\n [-4, -5, -6, -9],\n [6, -9, 2, 1],\n [2, -8, 1, 2],\n [0, 5, -1, 2]]\nB =\n[[-3, -6, 0, -5, -6, 5],\n [-5, -1, -3, -7, 6, -6],\n [7, 2, -6, -9, 10, -9],\n [-9, -8, -3, -5, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1552", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-6, 9, 1, 0],\n [-6, 2, 1, 10],\n [9, -2, 3, 4],\n [4, -7, -7, 9]]\nB =\n[[1, 10, -1, -2],\n [5, 10, -10, 3],\n [-1, 5, -7, 6],\n [2, -9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 6, -6, -9, -5, -7],\n [10, 2, 3, 3, -6, 8],\n [5, -5, 4, -8, 9, -5],\n [-8, -10, 4, -1, -2, -9],\n [-2, 2, -7, 8, 9, -5]]\nB =\n[[2, -10, 0, -6, 9, 4],\n [-4, -9, 7, -1, -3, 6],\n [-6, -2, -7, -3, -4, -10],\n [1, -8, 10, -5, 10, 8],\n [9, 7, 4, 2, 7, -5],\n [5, -6, -1, -10, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 7, 0],\n [5, 5, 5, 0],\n [-7, 2, -4, 3],\n [5, -5, 9, -1],\n [-2, 9, -4, 4]]\nB =\n[[-1, 0, 8, -5],\n [-9, -2, 1, 2],\n [1, -6, 5, 6],\n [-6, -1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -4, 8, 9, 1, 10],\n [10, 0, -6, -5, -4, 8],\n [8, 5, -8, -9, 1, 0],\n [8, 3, 9, 8, -3, 9],\n [5, 0, 3, -9, -1, -8],\n [-9, 4, 0, -2, 10, 4]]\nB =\n[[9, 10, -6, -3, 0],\n [-7, 5, -3, 5, -9],\n [-1, 0, 2, 4, 1],\n [-4, 6, -8, -1, 8],\n [2, -3, -10, 0, 10],\n [-6, 8, 5, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, -9, 5],\n [-3, -7, -5, 4],\n [8, -10, 6, -5],\n [10, -6, 9, -2],\n [-10, -6, -4, -10],\n [9, -7, 1, -10]]\nB =\n[[7, 10, 0, -7],\n [5, -2, 2, -6],\n [3, 7, 9, 3],\n [-7, 6, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 10, 8, 0],\n [3, 9, 5, -8],\n [-5, 7, -4, 4],\n [5, -1, -9, -6]]\nB =\n[[8, 1, -8, -2],\n [8, -2, 2, -8],\n [-8, -2, 9, -6],\n [4, 2, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[1, 10, -2, 9],\n [-8, 0, 7, 1],\n [2, -10, -1, -2],\n [5, 4, -8, 6]]\nB =\n[[6, -7, -1, -3, 6],\n [6, 0, 7, -2, 1],\n [7, 7, -5, 2, -7],\n [6, -6, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 3, -3, 6, -3],\n [-9, 9, 9, -8, -2],\n [-3, 6, -10, 9, -6],\n [-9, -9, 9, -3, 4],\n [-9, -8, -7, -5, 4],\n [6, 8, 1, -9, 6]]\nB =\n[[-2, 3, 8, 8, -8],\n [2, -8, -7, 2, 5],\n [-10, 4, -3, -10, 1],\n [-10, -1, 7, 3, 4],\n [2, -2, 10, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 4, -6, -4, 8, 0],\n [6, -4, 2, -3, 1, -1],\n [-1, -10, 4, -3, -4, -3],\n [-1, -5, -4, -1, -6, 8],\n [-6, 5, -6, 8, 3, 0]]\nB =\n[[4, -6, -10, 3],\n [2, -7, -1, -5],\n [-9, -2, -3, 1],\n [7, 7, 8, -1],\n [-2, -7, -8, 10],\n [-7, -8, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 0, 8, -7, -6],\n [-3, -10, -3, 4, 2],\n [10, -8, -8, 7, 5],\n [-2, 7, -7, 0, -10],\n [1, -9, -3, 6, 4]]\nB =\n[[8, -4, 1, -6],\n [-1, -4, 4, 10],\n [8, 10, -7, 0],\n [8, -3, 9, 10],\n [6, 5, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 0, -9, 2, -2],\n [-7, 0, -9, 4, 10, -6],\n [9, 0, 4, 9, -7, 5],\n [-8, 6, -6, 9, 2, 6],\n [-6, 1, 2, 1, 9, -4],\n [-10, -8, -8, 1, -3, 9]]\nB =\n[[-8, -8, 0, -3, 0, 3],\n [-4, 1, -6, 9, 5, -4],\n [-8, 8, 8, 3, -1, 6],\n [2, -10, 1, 1, 3, 9],\n [7, 9, 4, -9, 8, 6],\n [0, -6, 8, -5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2845", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 3, 9],\n [-7, -6, 7, 7],\n [8, 0, -1, 8],\n [4, 4, -4, 7]]\nB =\n[[-6, 7, -8, 9],\n [-3, 8, 2, 10],\n [-2, 5, -10, 5],\n [2, -10, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 6, -10, -7, -1, 0],\n [0, -9, 1, 8, -6, 4],\n [3, 10, 4, -3, -9, 4],\n [-7, 8, -7, 3, 6, -4],\n [-2, 1, 8, 8, -3, 1],\n [10, 5, 7, -1, -10, 0]]\nB =\n[[-9, 10, 3, 5],\n [-5, 1, -10, -9],\n [4, -2, -8, -10],\n [1, -2, 3, 9],\n [-7, 8, -8, -10],\n [6, 5, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 10, 2, 0],\n [8, 9, -5, -9],\n [5, -10, -7, -8],\n [3, 5, 6, 3]]\nB =\n[[-2, 6, 2, 0, 7],\n [-10, 7, 7, 4, 2],\n [-1, 0, 8, -8, 10],\n [7, 9, 3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-10, 0, -1, 2, -4, 5],\n [-4, 3, -3, -1, 2, 5],\n [-9, 4, 2, -7, 7, 6],\n [-10, -9, -5, -6, -2, -9]]\nB =\n[[-1, -1, 0, 7, 7],\n [-6, 2, 6, 7, -1],\n [0, -8, -2, 0, 4],\n [-3, -4, 3, -5, 4],\n [2, 10, -6, 3, 1],\n [10, 6, -3, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 7, -8, -7, 7, 9],\n [-7, -2, -8, -6, -3, -2],\n [10, -6, -9, -9, -8, 8],\n [0, 4, -9, -10, 3, -6],\n [-2, 4, -1, 8, 6, -5]]\nB =\n[[-6, -7, -6, -8],\n [2, 8, -1, -4],\n [-4, -10, 4, 4],\n [-3, 5, 8, -9],\n [-7, 6, 3, 8],\n [8, 6, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "561", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3, 5, 3, -1],\n [3, 10, -10, 1, -3, -2],\n [-7, 0, 8, -9, 9, 9],\n [-7, 1, -3, 5, 6, 1],\n [-4, -4, 3, 1, 0, -6],\n [-2, 6, 1, 10, 6, -3]]\nB =\n[[9, 10, 9, 8],\n [-5, 6, -7, -10],\n [-2, -3, -4, -10],\n [-9, -1, 9, 6],\n [-10, 3, -8, -2],\n [9, 2, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1678", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -2, 3, -10],\n [-8, 2, 8, 8],\n [-9, 2, -3, -3],\n [-1, -9, -6, -7]]\nB =\n[[10, 9, 6, 8, 0, -3],\n [8, -5, -9, 8, 8, -8],\n [6, -9, -3, 3, 1, 6],\n [-4, -3, 7, 10, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-702", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-3, -9, 0, -7],\n [9, -5, 6, -9],\n [6, -8, -5, 3],\n [-5, 10, 8, -4],\n [-4, 6, 0, 9],\n [-6, -9, 8, -9]]\nB =\n[[-9, 3, -7, 7],\n [0, 10, -9, -7],\n [7, -4, 9, -1],\n [3, -8, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[8, -9, 9, -10, -9],\n [-7, 10, -1, -4, 5],\n [2, -4, 3, -8, 4],\n [5, 2, 8, -2, -4],\n [-5, 5, 8, 3, -10],\n [-1, 8, 5, -6, 2]]\nB =\n[[0, -3, -9, 2, 10, 0],\n [-7, -1, -4, 10, 6, -3],\n [-1, 9, -2, -5, 2, -4],\n [-8, -5, 8, 5, -10, -3],\n [-5, 0, 6, -3, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -9, 7, -1, -2, -1],\n [6, -9, -9, -3, 9, 4],\n [7, -5, 4, 7, 10, 10],\n [-10, -2, 5, -5, -1, -5],\n [8, -10, -5, 2, 7, -6],\n [9, 1, -7, -7, 7, -1]]\nB =\n[[-9, 9, 10, 0],\n [-10, -8, -4, 1],\n [-6, -6, 0, -2],\n [2, -10, -10, 2],\n [9, -9, 2, -7],\n [9, -10, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 4, 6, -1, -2, 4],\n [0, -1, 10, 1, -8, 2],\n [7, -5, 6, 8, 6, 4],\n [-8, -6, -5, -4, -6, -10],\n [-1, 2, 0, 5, 8, 5],\n [-9, -9, -1, 5, 1, 9]]\nB =\n[[10, 9, 3, -7, -5, 1],\n [3, -10, -6, 9, -2, 5],\n [-4, -10, -7, -4, -3, 6],\n [8, 0, -2, -10, 8, 6],\n [-6, -6, 0, -4, -3, 3],\n [-2, 9, -3, 3, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -9, 4, -3],\n [4, -4, 7, -9],\n [-10, 6, -6, -3],\n [-1, 9, -4, -2],\n [1, 6, 8, 1],\n [6, -9, -3, 8]]\nB =\n[[-2, 2, 5, -4],\n [10, 8, -5, -4],\n [7, 6, -1, 1],\n [5, 1, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[2, 0, -6, 2, 0],\n [2, -3, 3, 2, -8],\n [10, -9, 4, -6, 0],\n [-8, 1, -8, -2, 4],\n [8, 9, 7, -1, 2]]\nB =\n[[-5, 10, 3, 3, -6],\n [-6, -1, -4, 9, 3],\n [-10, -6, 8, -6, -10],\n [1, 2, 4, 1, -4],\n [-9, -1, 8, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -6, -7, -7],\n [-9, -4, -1, 2],\n [10, 2, 7, -2],\n [4, -2, 9, -5],\n [-6, 9, -5, -6],\n [-5, -2, -4, 1]]\nB =\n[[-5, -7, -7, 5, -4],\n [-7, 2, 3, -4, 7],\n [-10, 2, -9, 1, 6],\n [-5, 0, 5, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-3, -8, 5, 3, 7, 1],\n [-2, 9, 6, 0, 0, -2],\n [0, -3, -6, -5, 3, 3],\n [-6, -1, 7, 8, 9, 4],\n [-3, 10, -7, 10, -1, 2],\n [-8, 3, -1, -1, -10, -10]]\nB =\n[[4, 6, 8, 10, -1],\n [3, 3, 6, -10, -4],\n [2, 9, 7, -3, 8],\n [-1, 5, 2, -6, -3],\n [-5, 7, 7, 5, 0],\n [-7, 8, -6, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 2, -4, 4, 6],\n [6, -2, 7, -8, -2],\n [-5, 2, 0, 1, -7],\n [5, 6, -4, 10, -3]]\nB =\n[[-5, 7, 9, -10, -7, -2],\n [-4, -8, -3, 5, -4, 0],\n [-7, -1, 5, -3, -1, 2],\n [8, 1, -9, -6, 8, -5],\n [4, -8, 0, -6, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, -2, -3, -6],\n [-8, 1, -9, -3, -7],\n [8, 6, -9, 0, 0],\n [10, -4, -7, -2, -3]]\nB =\n[[-7, -7, 9, 4],\n [8, -5, 4, 5],\n [8, 6, -5, -1],\n [2, -10, 5, 8],\n [-9, -9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -6, -8, -5, -9],\n [3, -8, -3, 7, -10],\n [-2, 0, -10, 5, 4],\n [-2, 9, -3, -1, -8],\n [10, 3, -7, 0, -9]]\nB =\n[[0, 3, -10, 1],\n [-10, 6, -8, -2],\n [-6, -6, -7, 8],\n [-1, 6, -10, 7],\n [-6, -6, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, 1, -6, 0],\n [-6, -5, 3, 3],\n [-4, 5, -10, 5],\n [4, -7, 10, -1],\n [-3, 0, 9, -8],\n [-5, 6, -6, -5]]\nB =\n[[-6, -4, 5, 10, 4, -7],\n [-2, 0, -6, 0, -2, 2],\n [-1, 5, 6, 0, 5, -6],\n [-6, 0, -6, 6, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -5, -1, 8, -3],\n [-8, 6, 6, 1, -7],\n [7, -7, 1, -10, -10],\n [-6, -4, 1, -3, -5],\n [-5, -6, 6, 3, -2],\n [-7, -10, -5, 10, 1]]\nB =\n[[1, 1, -8, -3, 3],\n [-7, -2, -1, -5, 0],\n [-8, 4, 0, 2, 0],\n [-1, -7, 0, -5, -1],\n [7, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 8, -5, -10, 9],\n [-4, -10, -4, -4, 6],\n [-10, -9, 9, -1, 10],\n [-2, 0, 9, 6, 7]]\nB =\n[[-1, 1, -6, -1],\n [0, 3, 6, 2],\n [7, -10, -10, 8],\n [8, 8, 1, 8],\n [6, 2, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[8, 2, -10, 7, -3],\n [-5, 3, -5, 8, 10],\n [-2, 10, -10, -4, 0],\n [-5, 5, 5, 0, 3]]\nB =\n[[-9, 4, 8, -3, 9],\n [5, 4, 9, 7, -6],\n [-9, 1, -10, -10, -9],\n [7, 0, 7, -1, 3],\n [2, -1, 0, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -7, 4, -10, 0],\n [2, 10, -1, -8, -10],\n [-8, 3, 2, -4, -6],\n [-10, 9, 3, -9, -8]]\nB =\n[[3, -3, -9, 6, -9],\n [-1, -5, -7, -5, -7],\n [-1, -10, -10, -4, -8],\n [6, -5, -3, 4, 0],\n [1, 3, 5, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1069", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 3, 4, -3],\n [-9, -5, -3, -7],\n [-4, -2, 4, -10],\n [-8, 1, -3, 10],\n [-2, 7, -8, -1],\n [-10, -4, 3, -4]]\nB =\n[[-3, -7, -7, 4, -4, 3],\n [-7, 3, -7, -5, 0, 10],\n [-5, 3, -7, -6, 3, -5],\n [2, -6, -8, -7, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1834", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 6, -4, 10, 7, 1],\n [3, 6, 7, 7, -9, 4],\n [-3, -1, -9, -5, -3, -10],\n [0, 7, -4, 5, -4, 8],\n [6, -8, -4, 7, 3, -4]]\nB =\n[[-5, -2, -6, -4],\n [1, 7, -7, -3],\n [8, -1, 6, -6],\n [0, -9, -6, 3],\n [-9, -8, 10, -3],\n [9, -8, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-561", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -2, -3, 1, 1, 1],\n [-8, 5, -3, -3, -1, -3],\n [-6, -2, -7, 10, -2, -5],\n [-9, 5, -10, -5, -7, 6],\n [7, 6, -6, 3, 4, 2],\n [-7, -3, -10, 10, 6, 3]]\nB =\n[[-9, 5, 10, -10, 8, -1],\n [-9, -9, 9, 3, 7, 1],\n [9, -10, 9, 3, -9, -3],\n [5, 9, -9, -7, -7, 4],\n [4, 8, -1, 2, 8, 4],\n [1, 2, -10, -1, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 1, 0, 0, 2, -5],\n [-2, -2, 6, -3, 2, 6],\n [4, 10, -7, 4, 0, -3],\n [-4, 10, 9, -3, 2, -8]]\nB =\n[[-7, -7, 4, 10],\n [7, -7, -1, 2],\n [-3, -3, 2, 10],\n [-8, -1, -10, -7],\n [-7, 1, -6, -10],\n [-1, 4, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 10, 5, 7, 6, 2],\n [10, 0, 1, 0, 3, 8],\n [-1, 5, -6, 8, -10, 1],\n [-2, 2, 8, 4, 0, 6]]\nB =\n[[-7, 1, 9, -9, 10],\n [-7, -6, 10, -8, -6],\n [-2, -5, 9, -5, -9],\n [-6, 1, 7, 9, -6],\n [-3, 0, -3, 8, 6],\n [4, 9, -9, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -5, -4, 1],\n [10, 2, 9, -4],\n [-9, -8, 10, -8],\n [-10, -7, 0, 10],\n [-8, -8, -3, -2],\n [-1, 5, -2, -9]]\nB =\n[[-8, 1, -2, 0, 0, -3],\n [-5, 5, -9, 3, -8, 10],\n [-7, 0, -5, 4, -8, 0],\n [-3, 9, -9, -10, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 3, 7, 0],\n [-3, 5, 10, -1],\n [2, -6, 7, -8],\n [-4, -8, -1, 10],\n [-10, -1, 0, -7]]\nB =\n[[5, -6, 0, 7, -1, -6],\n [4, -8, 0, 5, 1, 1],\n [7, -2, 4, 3, -8, -10],\n [0, 6, 8, -2, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -8, -1, -2],\n [1, -9, 4, 5],\n [0, 10, 7, 5],\n [-1, -9, -2, 9],\n [-6, -4, -1, -7]]\nB =\n[[-3, -7, -10, -1, -8],\n [5, -5, -3, 5, 4],\n [3, -10, -1, -2, 2],\n [5, 8, 4, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[7, -7, 10, 7, 4],\n [7, 6, -10, 9, 4],\n [-4, -6, 5, 4, -4],\n [-4, -2, 1, 10, 0]]\nB =\n[[2, 4, 9, -4, 1, 1],\n [0, -1, -5, 9, -7, -1],\n [6, 4, 6, -9, 7, 10],\n [2, -1, 1, -10, -3, -2],\n [-7, -3, 6, 0, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-8, -1, 1, -8, -8, 2],\n [-2, -4, -8, -1, -5, 10],\n [9, 1, 10, -6, 0, 10],\n [9, -1, 0, 6, 7, 0],\n [10, -10, -8, 6, 3, 4]]\nB =\n[[-6, -4, 2, -1],\n [-2, 9, 2, -6],\n [1, -5, -8, 0],\n [-8, 2, 6, -2],\n [7, -3, 3, -7],\n [-7, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-10, 4, 9, 1, 1, -4],\n [-6, 7, -8, 0, -7, -10],\n [1, 6, 3, 7, -1, 4],\n [-10, 7, 5, 1, 2, 4]]\nB =\n[[0, -3, -2, 0],\n [0, 10, 4, 2],\n [-2, -5, -2, 7],\n [-7, -2, -1, 9],\n [0, -10, -1, 10],\n [7, 3, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 1, -7, -7, -8],\n [0, -7, 0, 0, 6],\n [9, 4, 8, -7, -10],\n [-10, -3, -1, 1, -3],\n [10, 3, 2, 2, -3],\n [3, 6, 8, 10, -7]]\nB =\n[[-10, -10, 1, 3, 10, -7],\n [8, -9, 5, -8, -2, 9],\n [-6, 3, 10, -1, 6, -10],\n [-5, -1, -7, 10, 7, 0],\n [2, 0, 5, 9, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-353", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, -8, 1, 10],\n [-5, 6, -10, 7, -7],\n [9, -7, 3, -3, -3],\n [9, -4, -9, -6, -6],\n [-8, -7, -9, 10, 1]]\nB =\n[[-10, -7, -10, -10],\n [3, -2, 5, 2],\n [-8, 3, 7, -5],\n [3, -5, 0, -3],\n [8, 9, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -6, -8, -3],\n [8, 4, -3, 3],\n [-9, 9, 3, -3],\n [-3, 10, -4, -9]]\nB =\n[[-4, -10, 3, 4],\n [-1, 0, -10, 2],\n [3, 4, -4, 1],\n [10, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, -3, -10, -9],\n [10, 3, 7, 1],\n [5, 4, -4, -9],\n [0, 7, 1, 2],\n [6, 3, 6, -8]]\nB =\n[[-8, 2, -7, 9, -6],\n [8, 7, 1, -3, -3],\n [0, -10, -5, 6, 2],\n [-7, -7, 5, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 8, -2, 2, 5, -6],\n [-3, 5, 3, 3, 1, 3],\n [-1, 10, -5, -9, 6, 7],\n [-7, -4, 3, 4, 2, 6]]\nB =\n[[-9, 7, 2, 9, -3],\n [8, 1, -6, -2, -4],\n [-3, -8, 9, 9, -1],\n [5, -6, -3, 3, 2],\n [-8, -5, 8, 4, -3],\n [0, -10, 4, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[10, 7, -10, -9, 4],\n [-4, 3, -1, 10, 3],\n [-2, 5, 10, -4, -6],\n [3, -5, 5, 3, 9]]\nB =\n[[-1, 1, 4, 3, -3],\n [2, -4, -6, 8, -4],\n [2, -9, 8, 6, 5],\n [-1, 10, -8, 6, -8],\n [-7, -4, 8, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -10, -9, -2],\n [-4, 3, -4, -8],\n [-7, 5, 9, -4],\n [-6, -8, 5, 9],\n [-7, 1, -6, -4],\n [1, -6, -10, -7]]\nB =\n[[6, 6, 9, 2, -10],\n [1, -9, -8, 3, 8],\n [5, 5, -9, 5, 1],\n [-7, -1, -8, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -6, 6, 3, 3],\n [-7, 1, 2, 1, 7, -1],\n [1, 8, 2, 10, 9, -4],\n [7, -6, 5, 9, -3, 3],\n [4, 5, 7, -8, -1, -4],\n [-10, 2, 8, 9, 6, -5]]\nB =\n[[4, 9, -7, 9],\n [5, 4, 10, -1],\n [1, -3, -5, 10],\n [-5, -7, -3, -4],\n [-8, 9, -8, -5],\n [-4, 2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -7, -3, -6],\n [6, 6, 3, -10, -10],\n [8, 4, -6, 2, -3],\n [-9, 10, 1, -5, -6],\n [-7, 6, -3, 9, -9]]\nB =\n[[7, -2, -6, 7, 5, -4],\n [-8, 4, -6, -3, 3, 2],\n [0, 5, 0, 7, 5, -3],\n [-7, -1, 8, 8, 7, 4],\n [-3, 2, 4, -8, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1798", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 10, -4, 4, -8],\n [2, -5, 2, 0, 10, 3],\n [-2, 8, -6, 0, 3, -8],\n [-2, 9, -5, 5, 0, 3],\n [-6, 10, -6, 2, -4, 10],\n [7, -2, -3, 3, -9, 2]]\nB =\n[[5, 10, 10, 7, -8],\n [-5, -6, -8, 7, -5],\n [6, -8, -4, -5, -10],\n [-3, 4, -7, 6, 10],\n [-2, -9, -8, -9, -6],\n [2, -5, -8, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 9, -6, 5, 10],\n [6, 0, -2, 5, -3],\n [0, 4, -7, 9, 1],\n [-1, 10, -6, -9, 0]]\nB =\n[[-3, 5, 7, -8, 8],\n [-9, -5, -3, -4, 10],\n [0, -1, -1, 5, -2],\n [-10, 6, -2, 1, -4],\n [6, -8, 6, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-3, 8, 4, -6, -9],\n [7, 7, 7, -7, -6],\n [-3, 2, 5, 2, -10],\n [2, 9, -10, 10, -6],\n [-6, -9, 4, -3, -8]]\nB =\n[[-7, -4, 10, 8],\n [5, -9, 9, 1],\n [-3, -8, 6, -2],\n [-2, -2, -4, -10],\n [-6, 4, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, 6, -5, 3],\n [9, 1, -6, 6, -1],\n [-2, 8, 2, -7, 3],\n [-10, 0, -8, 9, 3]]\nB =\n[[9, 3, -4, 6, -10],\n [-8, 8, -2, -8, 1],\n [0, 7, 3, 3, -3],\n [4, -4, -6, -10, -3],\n [-6, -9, 5, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-9, 10, -3, -3],\n [-1, -8, 5, -4],\n [0, 4, -1, 10],\n [4, 4, 3, -6],\n [-9, -4, -9, -2]]\nB =\n[[-9, 9, -1, 10, -10, -10],\n [10, 10, -2, -10, 7, -10],\n [5, 4, -2, -10, -7, 7],\n [-4, 8, 2, 8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-8, 7, 3, 7, -5],\n [2, 9, 6, 6, 1],\n [8, 1, -3, -6, 2],\n [-1, -5, -2, 10, -3]]\nB =\n[[6, 10, 2, -9, -8],\n [-1, -5, 7, -9, 3],\n [-9, 7, -2, -10, -3],\n [-6, -5, 8, -6, -5],\n [5, 0, -6, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -2, 4, -4, 2, 0],\n [-5, 9, -1, -5, -9, 6],\n [3, 5, -3, 4, 10, -1],\n [-2, 1, -1, -3, -3, -9],\n [6, 5, 6, -1, -5, 5]]\nB =\n[[-10, 4, -3, -8],\n [-8, 8, 0, -6],\n [3, 4, 0, 2],\n [5, -5, -2, 7],\n [-8, 9, 1, 0],\n [9, 10, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-5, 1, 10, -3],\n [1, -8, 0, 4],\n [8, -3, -10, 3],\n [0, -1, 6, -9]]\nB =\n[[-9, -2, 4, -10, -7, -1],\n [-3, 2, 1, 7, 7, 2],\n [-4, -7, -7, -7, 2, 6],\n [-3, 1, 0, -10, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 1, -7, 8, 10],\n [9, 0, -9, 10, 4],\n [-7, 2, -4, -8, -8],\n [-10, -6, -7, 4, 8],\n [-5, 1, 5, -9, -10]]\nB =\n[[-8, 4, 0, 2, -10, -2],\n [-1, -1, -4, 4, 5, 0],\n [-5, 9, 8, -7, 3, -1],\n [2, -9, 5, 8, -4, -8],\n [9, 7, -4, -8, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2582", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 6, -8, -2, -8, -1],\n [7, 8, 2, 10, -4, -2],\n [-1, 4, 8, 0, 10, -9],\n [-9, 3, 9, 6, 3, 8]]\nB =\n[[0, -8, -3, -7],\n [3, 3, 2, -2],\n [7, 5, -5, -10],\n [-7, -8, 6, -10],\n [8, -4, -1, -1],\n [2, -10, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1233", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[7, 4, -10, 4, -9],\n [-2, -5, -4, -3, 1],\n [-10, 4, 10, -10, 2],\n [-3, 3, -8, 6, 7]]\nB =\n[[1, -7, 7, 1],\n [-9, 7, 2, -10],\n [4, 3, -10, 10],\n [1, 5, 2, 6],\n [-3, -7, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-3, -8, -4, -1, -6],\n [-7, -8, 3, 7, -5],\n [9, -3, -1, -1, -10],\n [10, 2, 3, -5, 2],\n [9, -2, 6, 9, 9]]\nB =\n[[-9, 7, -4, 5],\n [-6, -2, 1, -4],\n [0, 7, -9, -8],\n [3, -4, 6, 7],\n [-6, -10, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[1, 3, -1, -6, 9],\n [6, -3, -2, 3, -4],\n [-3, 0, -1, -5, 9],\n [-9, -6, -9, -5, 1],\n [9, 0, -7, -4, 1],\n [9, 4, -6, -6, -10]]\nB =\n[[-9, 2, 4, 3, 5],\n [1, -6, 7, 7, 9],\n [-4, -7, 8, 6, 4],\n [-7, 10, 5, 3, -8],\n [4, 2, 10, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-9, 2, 2, 0, 7],\n [-2, 7, 4, 6, 10],\n [-4, -8, 0, -2, 2],\n [0, -4, -4, 5, 9]]\nB =\n[[9, 9, -5, 8, -7, -4],\n [10, -7, -10, -1, 6, 2],\n [-1, 0, -9, 3, -5, -1],\n [-10, -10, -1, 1, -2, 7],\n [6, -2, 3, 8, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[-6, -2, -10, 9, 6, 2],\n [-2, 0, -4, 5, -9, -9],\n [-9, -3, 3, 0, -7, 1],\n [-7, -5, -2, 0, -5, 2],\n [7, -5, -6, 2, 6, -4],\n [3, -2, -5, 4, 0, 5]]\nB =\n[[1, -6, -2, 5, 3, -2],\n [-8, -2, -1, 1, 10, 10],\n [-7, 6, 2, 5, -9, 10],\n [-1, -1, -8, 10, 5, -9],\n [-2, -7, 6, 1, -1, -5],\n [-1, -2, -7, 1, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[10, -10, -2, -8],\n [-3, 2, 3, -3],\n [-6, -10, -8, 10],\n [9, -9, 1, -5],\n [3, 8, -8, 4],\n [10, -4, -3, 10]]\nB =\n[[1, 2, 5, 0, -8, 8],\n [-2, 10, -3, -3, 6, 0],\n [7, 3, 5, -10, -4, 4],\n [-9, 8, -1, -7, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 6, 1, 1, 9, 1],\n [3, 2, -10, -3, -6, -3],\n [6, -7, -1, 3, 7, 1],\n [-2, 10, -8, 3, 5, 10],\n [-3, 6, 1, -6, 10, 2],\n [-1, 0, -8, -8, 9, 6]]\nB =\n[[6, 6, -9, -9],\n [-9, 4, 9, -7],\n [-7, -6, -3, 2],\n [8, 1, -8, -8],\n [-2, 5, -10, 10],\n [-1, 2, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1856", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[1, -8, 0, 3, 5],\n [2, -10, -2, 5, 10],\n [0, 4, 6, -9, -5],\n [-4, 6, -8, -3, 7],\n [8, -10, -10, 9, 6],\n [3, 10, 8, -5, -5]]\nB =\n[[-2, -8, 1, -2, 4, -2],\n [-4, 6, 1, 8, 4, -3],\n [1, -1, 0, 10, 7, 4],\n [4, 5, -1, 5, -2, 7],\n [6, -1, 7, 7, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -5, -6, -7, 1],\n [0, 0, -8, 0, 7],\n [6, -5, 2, 5, 10],\n [9, -8, -10, 8, -5],\n [7, -10, 8, -5, -5],\n [-9, 4, 5, -10, -10]]\nB =\n[[2, 10, 1, 2, -6],\n [7, -6, -10, -8, 8],\n [-8, -9, 10, 6, -3],\n [-9, 9, 6, -6, 1],\n [-5, 4, -4, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2576", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, 0, 5, 3, 8],\n [-9, -7, 0, -4, -2, -6],\n [-6, 3, -10, -1, 0, 9],\n [-4, -2, -10, 0, -10, 3],\n [0, 7, 0, 3, -1, -1],\n [3, -1, 9, 3, -6, 9]]\nB =\n[[6, 5, 2, -6, 5, -5],\n [-3, -7, 0, -2, -8, -9],\n [4, 10, -7, 4, 6, 5],\n [8, 9, -1, 10, 9, -4],\n [0, -1, 2, 6, -9, 2],\n [2, 2, 8, 6, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -2, 3, -3, -2],\n [-7, 7, -6, -2, -6],\n [-4, 4, -1, -1, 1],\n [-3, 3, 7, 3, 9],\n [-2, 4, 6, -1, -4],\n [-7, 8, -9, -4, -6]]\nB =\n[[2, -9, -8, -10, 8, 5],\n [6, 1, -8, -7, 3, -4],\n [5, 4, 2, 6, -4, 1],\n [7, 9, -2, 1, -6, -3],\n [-4, 8, 7, -4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 8, -3, -1, 1, 3],\n [-8, 3, 8, 3, 5, -5],\n [-7, 10, 7, 6, 0, 8],\n [9, 0, -1, -8, -7, -1],\n [-3, 7, 2, -3, -2, 5],\n [-1, 0, 10, 10, 10, 10]]\nB =\n[[1, -5, -10, -2, -7],\n [9, -3, 1, -7, 1],\n [-7, 4, 3, -10, -9],\n [-7, 3, 6, 3, 3],\n [-9, -6, 10, 10, 3],\n [-3, -10, -3, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-565", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 9, -5, 6],\n [-3, -2, -9, 8],\n [10, 0, 8, 8],\n [-9, 3, -9, -5],\n [0, 4, -1, 5],\n [-4, -10, 4, -10]]\nB =\n[[-4, -8, 2, -2, -9, 7],\n [-4, 3, 3, -3, 0, -7],\n [-6, 6, -2, 6, 10, 4],\n [10, -2, 4, 7, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, 8, 2, -9, -7],\n [3, -10, -7, 9, 1, 0],\n [-8, 10, -2, -3, 0, 8],\n [-10, -2, -5, -6, -1, -7],\n [1, 2, 0, 10, -10, 3],\n [-6, 8, 7, 2, -1, -5]]\nB =\n[[0, 2, 6, 9],\n [-7, -3, -6, -2],\n [4, -8, -8, 3],\n [10, 4, -4, 6],\n [0, 10, 8, 4],\n [-10, 1, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-686", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -2, -5, 7, -9],\n [9, -8, 2, -1, -5],\n [7, -10, -9, 1, 8],\n [-7, -2, -3, -2, 8],\n [6, 3, -9, 5, -8]]\nB =\n[[-6, -1, -1, -2, 0, -4],\n [2, -1, -6, 5, 9, -1],\n [5, 8, 5, -7, -8, -2],\n [10, 5, 9, -3, 9, 8],\n [-8, 2, -2, 5, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1730", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -10, 1, 6],\n [-2, -9, -8, 10],\n [8, -8, 0, -2],\n [1, 6, -1, -7]]\nB =\n[[5, 5, -7, -7, -7, -1],\n [-6, -3, -4, 0, -6, 0],\n [0, -10, 3, -6, -2, 8],\n [-10, 9, -3, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -7, 2, 9, 9],\n [-4, 3, 0, -6, -1],\n [6, 2, -3, 1, 0],\n [-5, 5, -6, -9, -6]]\nB =\n[[-3, 2, 5, 8, -3, -7],\n [5, -4, -9, -10, 5, 5],\n [9, 9, 7, 2, -1, 10],\n [-1, 2, -2, 6, 2, -2],\n [-2, -8, 1, 9, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-4, 5, 10, 3],\n [7, -1, -9, 10],\n [6, -4, -8, -8],\n [1, 4, 6, 1],\n [0, -3, -3, 4],\n [-4, -4, 3, 8]]\nB =\n[[1, 7, 10, 5],\n [-3, -6, -1, 2],\n [-4, 3, 3, 8],\n [9, 2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -6, -9, -8, -8, 10],\n [8, -3, 8, 4, -9, -9],\n [-10, 10, 0, 6, 1, -5],\n [1, -10, 1, -2, -6, 7]]\nB =\n[[8, 7, -10, -5, -3, 10],\n [-1, 1, 8, 7, -8, 8],\n [5, -9, -4, 8, 4, 5],\n [9, 5, -7, 3, -8, -4],\n [6, 3, -8, -9, 2, -3],\n [7, -9, 10, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -9, 7, 2, 1, -4],\n [-8, 6, -4, -8, -5, 1],\n [9, -7, 3, -8, 1, -3],\n [9, -8, -1, 3, -7, 0],\n [-4, 7, -7, -10, 1, 3],\n [0, -2, 4, 6, -6, 7]]\nB =\n[[-5, 0, 10, 5, 6],\n [-1, 8, 0, -8, 1],\n [-10, 1, -2, 0, -2],\n [-2, -9, 9, -4, -7],\n [6, -7, -10, 0, -7],\n [-5, 0, 6, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-9, 0, 7, -3, 6],\n [4, -9, -10, -8, 10],\n [-6, 10, -7, 5, 1],\n [-3, 2, -6, 8, 10],\n [5, -2, 7, -8, 1],\n [-4, -8, 1, 3, -3]]\nB =\n[[7, 7, 9, -8],\n [9, -4, 4, -3],\n [7, 8, 5, 4],\n [3, 6, 10, 9],\n [-5, 0, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[4, 10, 1, -5, -9],\n [-7, -4, -7, -10, 5],\n [-8, 10, -8, -1, 0],\n [-7, 6, 1, -1, 4],\n [-9, -9, 0, 3, -4]]\nB =\n[[7, -6, -7, -4, -10],\n [1, -1, -8, -10, -6],\n [8, 1, -3, -6, -6],\n [-2, 0, -10, -8, -10],\n [-3, -3, -1, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 4, -9, 0, 2, 6],\n [-3, 8, -8, 9, 1, 6],\n [-4, 1, 1, 7, -4, 4],\n [-2, -6, 0, 0, -7, 2],\n [-8, 0, 8, 4, 9, -1]]\nB =\n[[4, -2, 9, -2],\n [3, 3, -9, -8],\n [-2, 3, -8, -4],\n [-7, -3, -6, 6],\n [-7, -9, 10, -5],\n [-1, 0, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-579", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, 10, 10],\n [-10, 6, -1, -1],\n [-5, 4, 9, -8],\n [-7, -9, 0, -3],\n [-3, 3, -6, 7]]\nB =\n[[2, 10, 1, -6],\n [-4, 7, 4, -5],\n [-5, 2, 0, 0],\n [2, -2, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[6, 3, 10, 1, 0, -6],\n [0, -1, -8, -8, -4, -10],\n [7, 7, -3, 5, -7, 7],\n [0, -4, -9, 1, -2, 4],\n [4, 4, 1, -3, 2, -8]]\nB =\n[[-10, -1, -5, 6, -9, -5],\n [-10, -8, -8, 5, 6, 9],\n [-9, 5, 8, 5, 10, -7],\n [-7, 9, -2, -8, -4, -9],\n [-7, -10, -9, -4, 4, 9],\n [7, -2, -8, 6, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 8, 6, -9, 2, 8],\n [10, -1, 6, 9, -9, 2],\n [3, -1, 10, -4, -5, -10],\n [-5, -6, 4, -10, 10, -9],\n [-7, -3, -7, -4, -3, 8],\n [2, 10, -9, 8, -3, 9]]\nB =\n[[-7, -7, 9, -3, -7, 7],\n [8, -5, -4, 5, 7, -8],\n [-5, -9, -10, 1, 1, -3],\n [2, -1, 3, 5, -1, 0],\n [-1, 2, 2, -7, 1, 3],\n [-3, 9, 0, -4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2561", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[9, -8, 3, 5, -2, -5],\n [7, -5, 2, 10, 4, -3],\n [7, -10, 10, 3, 2, 5],\n [-7, -5, 5, 5, 7, 8],\n [2, 0, -7, -4, -5, 4]]\nB =\n[[5, 4, 0, 9, -10],\n [7, 4, -4, -3, 7],\n [3, -7, -10, 1, 2],\n [6, -5, -7, -6, -4],\n [4, 7, 5, -1, -10],\n [-7, 8, 7, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 6, -9, -4, 10],\n [-10, -9, -6, 9, -8],\n [-9, -3, 0, 10, 8],\n [-10, -1, 1, 5, 7],\n [2, -1, -7, -4, 8],\n [3, 5, 9, -2, 9]]\nB =\n[[0, 10, 10, -6],\n [-2, 10, 1, 0],\n [0, 4, 10, 7],\n [-4, 9, -2, 4],\n [-10, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-747", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 1, -7, 0, -3],\n [6, 5, -9, -10, 5],\n [-4, 2, -5, 2, -7],\n [-8, 10, -2, -6, 3],\n [-2, -3, -8, -4, 0]]\nB =\n[[0, -5, -9, 5, 7],\n [-2, -8, 1, 0, 3],\n [-5, 9, -2, -7, -2],\n [9, -2, -8, 3, -3],\n [-7, 8, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1379", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -8, 8, -10, -3],\n [8, -9, 0, -7, -2],\n [-8, 1, -4, 1, 7],\n [8, -2, 3, 7, 3]]\nB =\n[[4, 1, -10, -4, 2],\n [-3, 7, -4, 9, 0],\n [-2, -2, 1, -1, 5],\n [-9, 8, -10, 4, -8],\n [1, -10, -8, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1554", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[4, 7, 5, -8, -5],\n [-5, -7, 1, 5, 9],\n [-9, 10, -1, -1, -8],\n [2, -2, 5, 4, 5],\n [-9, -7, -3, -4, -8]]\nB =\n[[-1, -7, 6, -4],\n [-7, -2, 1, 10],\n [-8, 5, -10, -9],\n [4, 3, -4, -2],\n [5, -4, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[4, 8, 7, -2, -10, 10],\n [2, 1, 1, -4, -8, 8],\n [4, 9, 10, 2, 0, -7],\n [9, 0, -3, -5, 8, -7],\n [-8, 8, -3, 4, 4, 5]]\nB =\n[[-4, 9, -5, -9, -1, 3],\n [-4, -5, 5, 0, 2, 4],\n [-6, -1, -1, -1, 10, 9],\n [-2, -5, -2, -3, 9, 6],\n [-7, 2, 0, 3, 7, 2],\n [7, -10, -4, -10, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, 8, 5, -10],\n [-10, 5, -7, 8, -8],\n [8, 1, 4, -9, 9],\n [-4, -6, 1, -7, -6],\n [0, 5, 6, -3, -2]]\nB =\n[[-5, -3, -8, -1, 2, -4],\n [-4, 2, -10, 3, 7, 2],\n [-1, -1, 9, -5, -8, 3],\n [-7, -3, 6, -9, 0, 4],\n [9, 2, -5, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 1, -6],\n [-3, -9, 1, 5],\n [10, 3, -9, -10],\n [-4, -2, 8, 0]]\nB =\n[[6, 1, -7, -9, 7],\n [-8, -3, -5, 8, -7],\n [-3, 7, 1, -2, 2],\n [-8, -8, -9, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, 2, -2, -6, 8],\n [4, -2, -2, -6, -2, -6],\n [0, -3, -7, 4, -4, 9],\n [-10, 8, -8, 5, -8, 4],\n [7, 8, 6, 7, -5, -7]]\nB =\n[[8, 3, 3, 10, 2],\n [-10, -2, 7, -5, 8],\n [-1, 3, 4, -3, 10],\n [5, -8, -10, -2, -1],\n [-5, -2, 10, -2, 0],\n [9, 5, 5, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 6, -8, -3, -8],\n [-4, 10, 10, -4, 8],\n [4, 4, 10, -5, -6],\n [-4, 6, -4, 9, 4],\n [-4, 6, -6, -9, 1]]\nB =\n[[10, -2, -1, -2, 9, 9],\n [6, -5, 4, 3, 1, -6],\n [8, 5, 0, 4, -3, -5],\n [-2, 8, -6, -5, -5, 4],\n [8, 10, 5, -1, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, -4, -2, -10, 3],\n [9, -4, 7, -10, 0, 0],\n [-5, 5, -3, 2, -4, -3],\n [-8, -4, -4, 6, 0, 2],\n [4, 8, -7, -6, -8, 5],\n [-2, -3, 7, 9, -9, 3]]\nB =\n[[1, 10, -6, -7, 5],\n [9, 8, -1, 1, -3],\n [-9, -2, -7, -7, 10],\n [-8, 6, -8, -6, -4],\n [-4, 4, 1, 1, 6],\n [-10, -4, -8, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -4, 0, -5, -1],\n [-6, 3, 7, -10, 10],\n [8, 5, -4, -3, -6],\n [8, -10, -3, -5, -6]]\nB =\n[[10, 5, 10, -8, 0],\n [3, 5, -2, -9, 9],\n [3, -10, -7, 7, 4],\n [-8, 4, -3, -9, -10],\n [3, 2, 7, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 10, 1, 2],\n [-8, -1, 6, -10],\n [9, 8, 1, -8],\n [5, -3, 9, 3],\n [-9, 4, -8, 4],\n [10, -8, -7, 0]]\nB =\n[[-7, 0, -10, -3, -8],\n [-2, -3, 1, -3, 6],\n [8, 6, -9, -1, -1],\n [-1, -2, -9, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -4, -10, 4, 6],\n [-8, -8, 9, 7, 10],\n [-4, 8, -1, 0, 5],\n [-8, -7, -7, -6, 2],\n [-4, 1, 5, 3, 7],\n [-1, 7, 7, -4, 6]]\nB =\n[[8, 3, -3, -10],\n [8, 1, -1, 2],\n [4, -2, -8, -8],\n [3, 2, -2, -10],\n [-7, 5, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, 4, -5],\n [-6, -9, -3, 10],\n [-4, 5, -5, 10],\n [1, -9, 4, 5]]\nB =\n[[2, 3, 9, 9, -10, 0],\n [-3, -1, -8, 4, -6, 7],\n [7, -6, 10, -6, -4, -1],\n [3, 8, 8, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 3, 0, -8],\n [5, -10, 7, 10, 0],\n [-1, -10, -9, 8, -1],\n [-6, 6, -4, -6, -9]]\nB =\n[[-7, 7, 7, -6],\n [-3, 9, -6, 2],\n [0, 10, 10, 9],\n [-2, -7, 0, 0],\n [0, -9, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 9, -2, 8, 4, -1],\n [-10, -10, 3, -3, -5, -7],\n [7, -6, 9, -3, 6, 9],\n [-1, 7, -3, 8, 5, 0],\n [-1, -1, -9, -6, -3, 5],\n [0, -5, 8, 2, -6, 1]]\nB =\n[[-9, 0, 9, 5, 9, 9],\n [7, -2, 8, 4, 1, 8],\n [7, 6, 5, -2, 0, 7],\n [5, 5, 10, 2, -7, -9],\n [10, -3, 8, -2, 8, -9],\n [3, 8, -8, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 7, 10, -7],\n [6, 9, -9, -6],\n [-6, -10, 3, 7],\n [-1, 4, -7, -7]]\nB =\n[[1, 2, 9, -2, 4, -7],\n [5, -6, 7, 7, 1, -5],\n [-3, -7, 5, 3, 7, -2],\n [0, 9, -3, -5, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 10, 3, 5, -4],\n [9, 0, -2, 0, 8],\n [-10, -3, 6, 9, 8],\n [4, -7, 6, -6, 0],\n [-7, -7, -4, 10, 10],\n [-5, -6, -7, 7, -10]]\nB =\n[[4, 10, 6, 6],\n [0, -1, 4, -9],\n [-1, -9, -3, 3],\n [-9, 9, -1, -10],\n [9, 9, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -4, -10, -3, 6, 2],\n [-8, -5, -9, 10, -4, -2],\n [10, 8, 9, -9, 10, 9],\n [1, 3, -5, -6, -4, -7],\n [1, -3, 0, 4, 8, -7]]\nB =\n[[10, 6, 6, -8],\n [-1, 1, 5, 0],\n [3, -9, 1, 1],\n [4, 5, 1, -4],\n [2, 2, 10, -10],\n [3, 2, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -7, -9, -8],\n [5, 7, 4, 5],\n [-10, -1, 4, 5],\n [-3, -4, -6, -3]]\nB =\n[[-2, 4, 8, 10, -5, -7],\n [4, 1, -2, -6, -6, -10],\n [3, 2, -9, -2, -5, 9],\n [-10, 7, -4, 2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1463", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -9, -7, 4],\n [2, 8, -3, 3],\n [-3, -1, 7, -2],\n [-3, -8, 9, 9]]\nB =\n[[-9, 5, -4, -9, -6, -8],\n [-4, 9, 5, -9, 8, 0],\n [-1, 5, -4, 6, 9, 9],\n [-2, -8, 6, 6, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-1, 1, 4, -6, -3, -5],\n [-5, 8, -3, -4, 7, 8],\n [-7, -8, -8, -10, -10, -8],\n [8, 10, 0, -6, -1, -5],\n [-4, -10, 7, -9, 1, -4]]\nB =\n[[5, -1, 1, 1, 7],\n [1, 10, -8, 10, 6],\n [-2, 2, 2, 8, -7],\n [10, 10, 3, -6, 7],\n [6, 5, 4, 4, 7],\n [-10, 3, 6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -4, 9, -8],\n [-9, -4, -7, -7],\n [-1, 7, -6, 7],\n [-10, -9, 6, 9],\n [-7, 8, 4, -7]]\nB =\n[[-10, 1, 6, 8, 10],\n [-5, -5, 3, -6, 2],\n [-4, -2, -8, 8, -5],\n [10, -4, -6, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -3, 2, 5],\n [1, 6, -3, -6, -3],\n [-8, -10, -2, 5, 7],\n [-6, 5, 10, -8, -9],\n [-1, 0, -5, -9, -1]]\nB =\n[[7, -6, 8, -10],\n [2, 3, -10, -8],\n [-5, 6, 0, 9],\n [-1, 2, 8, -10],\n [-8, -10, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -6, -8, -8, -3, 6],\n [1, 2, 3, 6, 7, 6],\n [-10, 8, -9, -7, -8, 1],\n [7, -3, 7, -2, 1, 5],\n [4, 6, 0, 3, 0, 10]]\nB =\n[[8, 7, 6, 10, -2, -6],\n [-1, 7, -6, 8, 4, -3],\n [6, 0, 7, -7, -7, -5],\n [-9, 5, -6, -6, 1, -9],\n [3, 2, 0, 9, 8, 4],\n [-4, 1, 3, 8, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 7, -9, 8],\n [2, -2, 3, 7],\n [-7, -8, -6, -5],\n [0, 5, -4, 9],\n [4, -3, -3, 3],\n [-5, 1, -7, 6]]\nB =\n[[-4, 4, 6, -2],\n [-2, 1, -8, 2],\n [6, -10, 7, 0],\n [4, -6, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -10, -5, 9, 7],\n [5, 8, 3, 1, -4],\n [-2, 10, -7, 0, 6],\n [5, -8, -2, -9, 2]]\nB =\n[[-2, -2, -4, -5, -4],\n [7, 6, 7, 8, 2],\n [-2, -4, -10, 7, 1],\n [-3, 6, -1, -10, -6],\n [8, 9, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[8, -8, 8, 9, -4],\n [3, -6, 0, 9, -5],\n [-2, -4, 6, -3, -4],\n [8, -6, 7, 8, 5],\n [-10, 9, -6, -3, -8],\n [9, -9, -1, -8, 9]]\nB =\n[[3, 9, -5, 4, -8, 6],\n [1, -3, -1, -6, 9, 4],\n [3, -9, -7, -5, 3, -1],\n [2, 3, 10, 9, 2, 0],\n [10, 5, -3, -7, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-8, 2, -5, 9, -6, 9],\n [7, -8, -4, 1, 7, -3],\n [8, -8, -3, 6, 7, 6],\n [-6, 7, 0, 1, -9, 2],\n [-3, 4, -6, -5, -6, 4]]\nB =\n[[-6, 6, 10, 10, -9],\n [1, -8, 6, 9, 0],\n [3, 8, 5, -8, -3],\n [8, 3, -9, 8, -6],\n [-10, 9, 7, -2, 4],\n [2, -7, 5, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -2, 2, 2, -2],\n [-6, 1, 0, -2, 5],\n [-3, 3, 6, -5, 4],\n [8, -1, 2, -3, 1],\n [1, 7, 1, -5, 4],\n [-4, 9, -9, 5, -6]]\nB =\n[[-8, -3, -4, -5, 7, 6],\n [10, -7, -4, -7, -3, -7],\n [3, 5, 4, -4, -9, -10],\n [3, -5, -7, 9, -7, -2],\n [-10, 6, 10, -9, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1971", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 3, 1, 8],\n [-10, 6, 2, -7],\n [-10, -1, -8, 7],\n [-5, 8, 2, -1],\n [8, 3, -4, 10],\n [-8, -5, 9, -5]]\nB =\n[[5, -5, -7, 3, 7],\n [9, -6, 1, 9, 8],\n [9, -4, 1, 1, 10],\n [5, -7, 2, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1911", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 10, -7, -4],\n [0, 2, -9, 3],\n [2, -9, 7, -6],\n [3, 7, 7, -3],\n [0, 8, 3, 6],\n [6, -4, -7, 8]]\nB =\n[[-8, -4, 4, -9],\n [0, 5, -6, 2],\n [-3, 7, -2, 7],\n [1, 0, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-302", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 10, 1, -4, 8, 3],\n [9, 7, 9, 6, -9, 10],\n [-2, -9, 10, -2, -9, 6],\n [-1, -3, 6, -8, -5, 3],\n [-10, 8, 10, 4, -10, 1],\n [-4, -1, 8, -10, 0, -9]]\nB =\n[[8, -10, -4, -4],\n [6, 10, -6, -4],\n [-9, 2, -4, -2],\n [2, 2, 6, -8],\n [0, 5, 3, -3],\n [1, -2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-501", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-3, 0, 10, -8, 10, 0],\n [3, -6, 0, 6, -3, 8],\n [-8, 9, 6, -4, -4, -1],\n [9, -2, 9, -8, -2, 8],\n [-7, -2, 0, 8, -7, 0]]\nB =\n[[7, 6, 3, -4],\n [4, -5, 6, -4],\n [8, 3, 10, 9],\n [-6, 7, -4, 10],\n [8, 7, 2, 10],\n [3, 5, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, 8, 10, -5],\n [-3, 3, -3, -8, 9],\n [7, 3, 10, 1, 5],\n [8, -6, 1, 0, 7]]\nB =\n[[-6, 8, -3, 5],\n [7, -10, 7, 2],\n [7, 6, -7, 2],\n [-3, 7, 7, 0],\n [7, -1, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[2, 8, -7, 2, -6, 0],\n [-6, 7, 7, 3, 3, -4],\n [-4, -5, -10, -3, -9, -8],\n [-10, 9, -5, -4, -8, -2],\n [8, 4, 0, -1, 5, 5]]\nB =\n[[-1, -5, -8, 5, 2],\n [-2, 6, 3, 3, 3],\n [-3, -10, -2, -4, 8],\n [-4, -5, -3, 10, 1],\n [2, 0, -7, -6, 0],\n [-6, 6, -2, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[7, 1, 6, -1, 10],\n [8, 2, 5, -7, -5],\n [7, -7, 3, 7, -5],\n [-9, 8, -5, -4, 2]]\nB =\n[[0, -10, 7, 3],\n [-6, -6, -1, -3],\n [-2, 8, -9, 8],\n [-10, -3, 8, 4],\n [10, 8, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -2, -6, 4],\n [6, 5, -6, 4],\n [-2, 1, 7, -1],\n [-1, 5, -6, 3],\n [4, -4, -2, 10]]\nB =\n[[-10, -4, -1, -1],\n [-5, 4, -2, -4],\n [4, 4, -1, 6],\n [4, -8, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 8, -2, 6, -1],\n [-8, -3, 9, -9, 5],\n [0, -5, 8, -7, 10],\n [9, 10, -6, 8, -2]]\nB =\n[[3, 6, 3, -8],\n [3, 5, 8, -4],\n [-5, 2, 8, -2],\n [-5, 10, -2, 2],\n [-8, -1, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, -10, 7],\n [6, 1, 1, -7],\n [1, -6, 6, 10],\n [-2, 10, 2, 3],\n [4, -3, -7, 1],\n [-6, -3, 1, -10]]\nB =\n[[-3, -4, -3, -5],\n [8, -5, -6, 2],\n [-10, 10, 5, 4],\n [7, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, -4, 4, 9],\n [7, 1, -7, -4, 10],\n [3, 3, 0, 6, -3],\n [-6, 7, 9, -10, -1],\n [-6, -3, -9, -5, -8]]\nB =\n[[4, -7, 3, 9],\n [-3, -3, -5, 1],\n [-9, 0, 1, -1],\n [-6, 7, -7, 9],\n [1, -9, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 1, 4, 3],\n [-5, 1, -4, -3],\n [-1, -9, -2, -4],\n [2, 9, -2, 8],\n [-2, 8, -6, -4],\n [-2, 8, 4, -10]]\nB =\n[[8, -7, 9, 7, -10],\n [-1, -10, 8, -2, -6],\n [10, 9, -2, 7, 5],\n [-2, -3, -7, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -1, -9, 7, 2],\n [-8, 6, 1, 6, 1],\n [-5, 2, -4, -4, 7],\n [10, 3, -3, -1, 0]]\nB =\n[[-10, 9, -2, -2, -10, 5],\n [2, 9, 9, -2, 8, -10],\n [8, 4, -4, -5, 2, -3],\n [10, -4, -8, 2, -3, 10],\n [1, 1, 1, 5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -3, -3],\n [-10, -1, 3, -1],\n [2, 6, -5, -5],\n [5, -4, 7, -7],\n [1, 8, -6, 5]]\nB =\n[[-6, 0, -7, 1],\n [-1, 8, -10, 5],\n [6, -10, 1, 6],\n [3, -2, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1074", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 0, -2, 2],\n [-3, -8, -8, 1],\n [2, 5, 10, 6],\n [0, -10, 3, 5],\n [0, -6, -8, -4]]\nB =\n[[8, 4, -5, 1, -3, -7],\n [-8, 4, 0, -6, 5, -2],\n [7, 8, -6, 2, 3, -1],\n [-4, -10, 9, -5, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -8, -1, -8, 3, -4],\n [4, 10, -1, -7, 0, 8],\n [2, -9, 5, -9, 0, 6],\n [-1, 2, 3, 0, -10, -8],\n [5, -10, -7, -1, 2, -3],\n [3, 2, 10, -2, 6, -9]]\nB =\n[[-6, 0, -10, -3, -2, 6],\n [7, 8, 2, 1, 1, 10],\n [-5, 10, 8, 1, 2, -2],\n [-2, 1, 10, -7, 5, -3],\n [-6, -1, 9, 6, -3, -10],\n [-3, -8, -3, 7, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2593", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 8, -2, 6],\n [-10, -3, 4, 7],\n [4, -1, -1, -7],\n [-3, 6, -9, 0]]\nB =\n[[-9, -9, 5, 7],\n [-10, 2, 5, 10],\n [0, -5, -2, 1],\n [-6, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -7, 0, 3, -2, 3],\n [-3, 9, 2, -6, -8, 10],\n [-1, 1, 10, -3, -5, 5],\n [4, -8, -9, 5, 8, 4],\n [-2, -1, 8, 3, -10, -5],\n [8, 6, 9, -3, -9, 0]]\nB =\n[[-2, 0, -10, 2],\n [-1, 9, 2, 0],\n [-9, 5, 0, 7],\n [-4, -8, 10, 2],\n [-3, 0, -9, -2],\n [-6, 10, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 9, -6, 8, 2],\n [5, -4, -2, 3, 2, 2],\n [9, 10, -4, 6, 4, 0],\n [-2, -5, -8, -4, -8, 10]]\nB =\n[[-9, 5, -7, 4, 5, 8],\n [-9, -9, 0, 7, -4, -8],\n [-9, -10, -4, -9, 6, 7],\n [8, 3, 0, -7, -2, -2],\n [-7, 5, 1, 4, 10, 2],\n [-6, -9, -7, 4, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1534", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, 9, 6, -8, 5],\n [1, 1, -5, -9, -7, -7],\n [5, -7, 5, -6, -8, -6],\n [4, 2, -7, -1, 4, 10],\n [-3, -1, -3, 8, -9, 1],\n [9, -4, -1, 7, 10, 1]]\nB =\n[[-7, 1, 5, 0, 4, -4],\n [5, 10, 9, -5, 7, 2],\n [1, -4, -10, 9, 3, 0],\n [2, 7, 7, -2, -8, 4],\n [10, 4, 2, 7, -10, -9],\n [7, 3, 8, -8, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-3, 5, 6, 0, -4, 3],\n [8, -4, 5, 0, 8, 5],\n [-7, 7, 5, -2, 0, -3],\n [-4, 0, 2, -8, -5, 10]]\nB =\n[[4, 8, -5, 7, 2],\n [-2, 4, -10, -1, -5],\n [2, 4, -3, 4, -9],\n [7, 5, 3, -3, -6],\n [-2, -5, -6, 7, -4],\n [9, -7, 5, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -10, -6, -5, -2, 6],\n [3, 6, 4, 10, 1, 8],\n [9, -1, 6, -3, -9, 7],\n [5, 2, 9, -6, 9, 4]]\nB =\n[[-9, -3, 6, -9],\n [8, -10, 2, -7],\n [6, 6, -6, -8],\n [-8, 0, -2, -8],\n [2, -10, 10, -8],\n [8, -10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 2, 1, -7],\n [-7, 2, 6, 0],\n [1, -7, 3, -4],\n [5, 0, -10, -8],\n [6, 0, 10, 0],\n [0, -6, 9, -7]]\nB =\n[[1, -10, -8, 0, -9],\n [7, 9, -6, 6, -1],\n [-2, 2, -3, 2, 0],\n [-5, 10, 4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1584", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 1, -1, 1],\n [-10, 7, 1, -10],\n [-1, -5, -5, 0],\n [9, -4, -3, -1]]\nB =\n[[-2, 10, 2, 4],\n [-2, 7, -9, -3],\n [4, -10, 0, -7],\n [-1, 5, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -2, 10, -9],\n [10, -8, -4, 5],\n [10, 6, -10, 8],\n [10, 1, 10, 6],\n [4, 1, 10, 2]]\nB =\n[[9, -1, 7, 6],\n [-3, -5, 3, -8],\n [-3, 7, 8, -2],\n [-6, 2, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 10, -8, -9, -8, -1],\n [7, -5, -9, 9, 5, 5],\n [1, -4, -5, -3, 6, -3],\n [0, -6, 6, -1, -8, 1],\n [-3, -7, -4, -2, 6, -7],\n [-10, 2, -5, 2, 4, -3]]\nB =\n[[-4, -8, 6, 6],\n [-4, -2, -10, -3],\n [2, 4, -2, 7],\n [-6, -5, 10, 9],\n [7, -8, -9, 2],\n [-8, -5, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2031", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 1, -8, -3, 9],\n [-10, 2, 9, 3, -3],\n [-9, -4, -9, 3, 5],\n [-8, 4, -7, 1, 1]]\nB =\n[[-10, 3, 7, 2],\n [-3, 8, 9, 6],\n [-4, -2, -3, -4],\n [1, 6, -10, 9],\n [2, -6, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 3, 0, -5, 0],\n [-10, 9, 0, 1, 0],\n [8, 0, -10, 5, 4],\n [-6, 3, 7, 1, 6],\n [-3, 10, 0, 0, -5],\n [3, -4, -8, -8, 2]]\nB =\n[[2, -10, -9, 4],\n [-8, 9, 6, -10],\n [-3, 1, -1, 8],\n [1, 5, -5, 7],\n [10, -5, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-4, -5, 10, -5, 1],\n [-9, 3, -10, -7, -8],\n [-2, 6, -10, 4, -9],\n [5, 6, 6, 6, 7],\n [6, -5, 4, -10, -7]]\nB =\n[[1, 6, -1, 7],\n [-10, 7, -9, -2],\n [-6, -2, -4, 8],\n [-7, -8, 9, -8],\n [6, -3, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 6, -2, -2, 2, 9],\n [-5, 4, -7, -8, 10, -4],\n [-5, -1, 3, -6, -3, 9],\n [-5, 7, 6, -6, -5, -5],\n [7, 4, 1, 6, 9, -3],\n [8, 6, 1, 7, 1, 2]]\nB =\n[[1, -2, -7, -8, -1, -10],\n [0, -3, 9, 9, 2, 6],\n [2, -3, 6, 3, 2, 5],\n [8, -9, 7, 6, 4, -8],\n [6, 10, 1, -3, -6, 10],\n [-5, -6, 10, 7, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2530", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, 9, -10, 0, -5],\n [4, -8, 9, -3, -1, -10],\n [-7, 1, 10, 6, -3, 3],\n [1, 6, -3, 10, -7, 3]]\nB =\n[[6, -3, 8, 0],\n [7, -5, -10, 6],\n [0, -10, 7, 7],\n [-8, 5, -3, 3],\n [8, 6, 5, -1],\n [-9, -1, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 7, -8, 3, -1],\n [9, 8, -1, 10, 6],\n [10, 10, 0, 2, -2],\n [2, -3, -2, -2, 0],\n [2, -9, -9, -3, 7],\n [-5, 4, -8, 0, 1]]\nB =\n[[5, 8, 10, 2],\n [-8, -3, 4, 0],\n [0, -2, -5, 7],\n [-7, -7, 10, 9],\n [-7, -8, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -10, 7, -6, -10],\n [10, -10, 7, 1, 4],\n [9, 7, 2, -5, -7],\n [2, -6, 10, 3, 4],\n [-1, 3, -6, 3, 8],\n [-3, -6, -4, 0, -6]]\nB =\n[[-1, -7, -7, -10, 10],\n [-10, -7, -6, -9, -2],\n [-9, 7, 0, -6, -10],\n [7, 8, -1, 3, 2],\n [2, -5, 9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -2, 0, -4, -8, 9],\n [0, 10, -1, -3, -3, 6],\n [1, 6, -5, -10, -6, -4],\n [-1, -8, -2, -10, 6, 2],\n [-6, -2, -1, -2, 4, -9],\n [-6, -3, -10, 0, -7, -8]]\nB =\n[[3, -6, -6, -1, 1],\n [1, -10, 0, -10, -4],\n [8, 8, -2, 0, -10],\n [-1, 7, -5, -7, -2],\n [-1, -2, 6, -1, 6],\n [3, 5, -7, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -10, 6, 10, -4, 9],\n [-1, -7, 9, -6, -7, -4],\n [-10, 0, -1, 0, 9, -8],\n [-5, -1, 4, 2, -10, -8],\n [-7, 8, 9, 2, -4, -5]]\nB =\n[[-4, -2, -4, 10, -5, 4],\n [9, 7, -8, 8, 4, 9],\n [-8, 5, -5, -4, 5, -10],\n [4, 7, -5, 3, 8, 9],\n [0, 3, -10, 3, 5, -7],\n [3, 1, -2, -7, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -4, -7, 4, 5, 5],\n [-8, -8, -9, 3, 0, 3],\n [-7, 7, 8, -8, 3, -10],\n [-9, -5, 9, 5, -10, -5],\n [0, 0, 7, -3, 2, 10],\n [2, -10, -2, -2, -6, -4]]\nB =\n[[2, 7, 2, 6, -9, 5],\n [-8, 9, -7, -5, 1, -7],\n [-1, -8, -1, 6, 1, -4],\n [3, 9, -7, 5, -4, -4],\n [-7, -3, 7, 8, -6, 4],\n [2, -10, 0, 6, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[0, 3, -9, 8, -4, -8],\n [-7, 10, 1, 3, 4, -6],\n [1, 6, 4, 4, 0, -4],\n [3, -5, -9, 5, -7, -1],\n [-4, -1, 1, -5, 10, -3],\n [10, 5, 1, 9, -10, -1]]\nB =\n[[0, 10, 0, -9],\n [-6, -1, 1, -4],\n [6, 7, -7, -3],\n [-9, -9, 4, -5],\n [10, 6, 1, 3],\n [-2, 9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -6, -4, -8, -9],\n [-4, -2, 3, -1, -4],\n [-5, 4, -8, -5, 8],\n [-9, 5, -1, 3, 3],\n [3, -4, -8, 0, 8]]\nB =\n[[1, -2, 4, -6, -2],\n [-10, -7, -8, 7, 4],\n [7, 6, 4, 2, 5],\n [6, 8, 8, -6, 9],\n [9, -3, -10, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -7, 7, 0, -3],\n [1, 0, -8, 5, 4, 8],\n [-5, -9, -8, 6, -10, 3],\n [-10, 6, 9, -1, 10, -6],\n [-10, -4, -6, 7, -1, 5]]\nB =\n[[-9, -6, -1, 6, 3],\n [-4, -2, 2, -10, 4],\n [-7, -2, -9, -4, 8],\n [-1, -9, 2, 8, -6],\n [9, 6, 10, 5, 5],\n [5, -4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 4, -6, 7, -5],\n [4, 8, 8, 5, 6],\n [3, -3, 10, 9, -7],\n [-2, 6, 5, -4, 2]]\nB =\n[[-4, 9, -3, 9, 3],\n [-3, -1, 4, -1, 2],\n [2, -6, -1, 9, -3],\n [7, -5, -6, 10, -4],\n [-6, -2, 9, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 5, -9, 3, -4],\n [0, 9, -5, -8, -1],\n [6, -5, -10, 10, 1],\n [-4, 4, -7, 0, -2],\n [-6, 0, -2, -3, -1],\n [9, -1, 6, -7, -7]]\nB =\n[[10, 10, -10, -4],\n [-4, -2, 2, -2],\n [-3, 7, -6, -7],\n [7, -5, -8, 4],\n [5, 5, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -10, 3, 2, 0],\n [2, 3, -1, 9, -2],\n [10, 1, 0, 8, 6],\n [0, -7, -6, -2, -4]]\nB =\n[[-3, 6, -3, -3],\n [-3, 0, -5, -10],\n [3, -10, -9, -8],\n [-6, 0, -8, -9],\n [-2, 9, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, -2, 10, -10],\n [-4, 1, -2, 3, -1],\n [6, 1, 3, 5, -2],\n [-2, 3, 2, 6, -5],\n [-2, -6, -5, 4, -5]]\nB =\n[[-8, 7, 5, -2, 10, 5],\n [2, 9, 8, 3, 10, 2],\n [3, -8, 0, 2, -4, -5],\n [5, 3, 7, -2, -10, 9],\n [2, -7, 10, -7, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1515", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, -10, -1],\n [-9, 3, -9, -8],\n [-5, 6, 9, -7],\n [-8, -5, 3, -10],\n [-5, -9, -6, 10],\n [3, -10, 8, -7]]\nB =\n[[-2, -9, -6, -9],\n [-2, 5, 5, 5],\n [0, -4, 0, -9],\n [-5, -9, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1051", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 10, -4, 7, -5, 10],\n [5, 6, -10, 6, 3, -7],\n [4, -1, -1, -10, -5, -5],\n [3, 8, 0, 8, -2, -5],\n [-10, -10, -1, 7, -10, 10],\n [-9, -4, -6, -4, -8, 1]]\nB =\n[[7, 10, -10, -2, -4, -6],\n [4, 8, -4, -4, 4, -1],\n [3, -8, -9, 6, 1, -7],\n [7, 0, -9, 4, -9, 5],\n [9, 9, -1, 3, -10, 7],\n [9, 5, 5, -6, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3342", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, 0, 8, -6, -2],\n [-8, 8, 2, -10, -2, -4],\n [0, 1, 10, 7, -10, -2],\n [-1, -1, 8, -10, -7, -9]]\nB =\n[[-1, 8, -5, -7, -2],\n [1, -7, 0, -10, 9],\n [-4, -6, 3, 4, 5],\n [7, 5, 3, 3, 5],\n [4, -9, -5, 1, -3],\n [2, 2, -10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1679", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -6, -4, 3],\n [8, -9, -2, 6],\n [-4, 10, -4, 5],\n [-8, 5, 5, 10],\n [-6, 2, -10, 10]]\nB =\n[[7, -1, -8, 8],\n [4, -10, 2, 8],\n [-8, 1, 10, 10],\n [-10, 8, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 5, -4, -1],\n [3, -10, -5, -9],\n [2, 3, 10, 7],\n [-7, -9, -9, -6]]\nB =\n[[-3, -6, -5, -7],\n [-10, 3, 7, 2],\n [4, -6, 0, 10],\n [4, -6, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 3, -4, 10, 0, -5],\n [7, 7, 2, -8, 4, -5],\n [-4, 10, -2, -6, -5, -2],\n [-8, 0, 5, -8, -3, -3],\n [-2, -8, -3, -4, 8, -8]]\nB =\n[[-6, -1, -9, -10, -9],\n [6, -3, 4, 6, 6],\n [4, -10, -6, 5, -6],\n [1, -7, 6, -1, 7],\n [-8, 5, -10, -2, 5],\n [-8, 3, 8, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 1, -6, 5],\n [-8, 8, 0, -10],\n [1, 7, 8, 0],\n [5, 8, -10, 1],\n [10, -1, -4, -10],\n [-1, 2, 3, 10]]\nB =\n[[4, 10, 1, 1, 5, 1],\n [5, -10, 2, 1, 2, 1],\n [-5, 0, 9, -5, 1, -3],\n [-3, 6, 8, -8, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, 8, -5],\n [5, 2, -8, -2],\n [5, -2, 6, 0],\n [-7, 1, -9, -5]]\nB =\n[[5, -4, -4, -7, 9, -2],\n [-3, 9, 10, 7, 9, -7],\n [1, 4, 10, 10, 4, 9],\n [7, 6, 2, -4, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, -2, 9],\n [-5, 8, -10, 3],\n [2, 8, 9, -2],\n [10, -5, 5, -3],\n [-5, 9, 5, -7],\n [-8, 0, 8, 8]]\nB =\n[[-2, -7, 1, -4, 1],\n [4, -4, -1, -9, 8],\n [7, -4, 6, -3, 5],\n [-9, 7, -6, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1959", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 3, 3],\n [-10, 7, -1, 7],\n [-3, -1, -3, -9],\n [6, 9, 8, 5]]\nB =\n[[-5, 2, 0, 1, 10, -5],\n [-1, 1, 1, 6, 2, -5],\n [-4, -8, 2, 3, -1, -2],\n [4, 8, 1, 4, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 4, -10, -6, 8],\n [-7, 0, 8, -3, -3],\n [4, 4, 9, 2, -3],\n [5, -8, -6, -3, 0],\n [-7, 9, 8, 1, 5],\n [-1, 10, -7, 3, -5]]\nB =\n[[4, -6, -4, 9, -1],\n [-8, 3, 2, -7, 4],\n [4, -5, -3, -8, -6],\n [-3, 0, 2, -6, -1],\n [1, 8, 9, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1840", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 5, -10, -9, 6, 4],\n [-10, -4, -4, -5, 2, -2],\n [-3, -4, 6, -5, 4, 3],\n [-7, -4, 6, -7, 5, -1],\n [-7, -6, 1, -4, 4, 10]]\nB =\n[[6, 5, -4, -9, -3, 7],\n [-3, -1, -6, 8, 5, 1],\n [-10, 0, -3, 9, 10, 7],\n [-4, -9, -2, -6, -8, 8],\n [10, 0, 9, -3, 5, 5],\n [10, 3, 8, -1, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -4, -9, 6, 8],\n [-5, -4, 0, 1, -3],\n [0, 3, -1, 7, 5],\n [7, -6, 5, 8, 3],\n [-2, 3, 1, 0, -6],\n [5, -7, 5, -2, -9]]\nB =\n[[-4, 9, 4, 2],\n [-2, 3, -7, -4],\n [6, -3, 5, -8],\n [4, -2, -5, -10],\n [-3, 9, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 2, 6, 6],\n [8, 10, 1, 6],\n [-2, -9, 0, 9],\n [-5, 7, -8, -1]]\nB =\n[[9, 9, -8, 1, -5, 4],\n [-9, -10, -1, 5, -6, -6],\n [4, 0, -2, 9, -5, -10],\n [7, 2, -7, 0, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[4, -7, 10, -8],\n [-5, -2, -8, -4],\n [2, -4, 5, 8],\n [6, 0, 7, -2],\n [2, 10, -5, 8]]\nB =\n[[-2, 7, -6, -5],\n [-5, 2, -9, -1],\n [-4, 2, 9, -10],\n [9, -7, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 9, -1, -1],\n [5, -10, -10, 10, -2],\n [1, 8, 8, 8, 0],\n [2, 7, 5, 8, 5],\n [-10, 10, 9, -8, -2],\n [8, -10, -1, 8, -4]]\nB =\n[[9, 3, 1, 9, 1, -6],\n [-5, 10, -3, -2, 10, 10],\n [-7, -4, 1, 5, -1, -5],\n [-7, 8, 6, 9, 10, 10],\n [-9, 6, -10, 5, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2942", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[7, -2, 8, 6, -10],\n [0, 6, -8, 5, 1],\n [5, 1, 7, -4, 2],\n [-4, 2, 7, 6, -2]]\nB =\n[[4, 3, -5, -4, -2, -2],\n [10, -9, -6, 8, -8, -3],\n [5, 7, -2, 7, 9, 2],\n [-10, -3, 8, 7, -7, -1],\n [3, 9, -5, 3, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 6, 6, -7, 9, 8],\n [10, -3, 5, 9, 10, -2],\n [9, -4, 1, -5, -7, -6],\n [8, -3, 1, -2, 8, 6]]\nB =\n[[-5, -9, 8, -8, -6, 7],\n [10, 4, -3, -10, 4, 10],\n [8, 0, 8, 6, 3, 1],\n [-2, 1, -4, -2, 8, 7],\n [-5, -8, 0, 4, 9, 4],\n [0, -7, -8, -3, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -9, 9, 9],\n [8, -6, -7, -8],\n [0, -10, -5, -7],\n [-3, 1, -8, -10],\n [10, 8, -5, -1]]\nB =\n[[-3, 6, -7, 0, -9],\n [4, 8, 0, -3, -3],\n [-7, 10, -4, 0, -9],\n [-4, 10, -9, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 4, 0, 1, 2, -9],\n [-10, -1, 2, -1, 5, 10],\n [-4, 7, 0, 7, 9, -5],\n [6, 7, -6, 3, -3, 2]]\nB =\n[[-1, -6, -1, 7, 9],\n [-1, 9, -6, -5, -7],\n [5, 10, -4, -6, -5],\n [-3, 3, 2, -9, -4],\n [7, 0, -7, 5, 0],\n [2, -4, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, 6, -3],\n [-7, 9, -1, -9],\n [1, -4, 6, -7],\n [6, -6, -1, 5],\n [-9, 3, 5, 9]]\nB =\n[[-5, -2, -5, 4],\n [0, 6, -10, -9],\n [-7, 8, 7, -2],\n [0, -5, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -1, 10, 4, 10],\n [6, 5, -2, 6, -3],\n [-10, -4, -4, 0, -7],\n [1, 1, -10, 6, -5],\n [6, -8, 5, 1, 7]]\nB =\n[[-2, -6, 6, -7, -8],\n [-10, 2, 9, -5, -8],\n [-8, 4, -3, -10, -5],\n [10, -4, 6, -8, 7],\n [8, -9, -6, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1972", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -8, -6, -1, 7],\n [2, -3, -1, -6, -10],\n [0, 7, -10, 0, -3],\n [9, -8, 1, -7, -1],\n [-1, 3, 9, -2, -7]]\nB =\n[[-3, -7, -10, -8, 8],\n [10, 4, -4, 0, 6],\n [6, 4, -8, 8, 5],\n [-3, -1, 7, 8, 7],\n [1, 10, 5, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1053", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, 0, -6, 1],\n [-1, 6, 6, 9, 6],\n [6, -8, 9, 7, 8],\n [-1, 8, 8, -5, 9]]\nB =\n[[-8, 0, -8, -9, 8],\n [0, 1, 1, 1, -2],\n [10, 9, 3, 7, 5],\n [7, 4, 9, 5, -2],\n [-4, -6, -1, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 6, -4, -5],\n [6, 3, -5, 2],\n [8, 6, -4, -7],\n [-7, -5, 3, 9]]\nB =\n[[2, -4, 7, -8],\n [3, -2, -10, 10],\n [4, -5, -4, -1],\n [8, -10, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -8, -6, -7, 3, 4],\n [0, 9, 4, 7, -3, -1],\n [0, 6, 10, -3, -2, -4],\n [7, -10, 7, -9, 1, 0]]\nB =\n[[8, 3, 6, -10],\n [-10, -4, 6, 4],\n [-10, 10, 9, -9],\n [9, 0, 7, 9],\n [-1, 6, -3, -5],\n [-6, -8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1550", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, -5, 7, -8, 8],\n [3, 7, 6, -8, 2, -2],\n [0, 7, 4, -8, -9, -8],\n [-9, 7, -2, 4, 3, -7]]\nB =\n[[2, 9, -1, -5],\n [0, -8, 0, -1],\n [-7, 7, 8, -8],\n [8, -9, 2, -8],\n [2, -8, 5, -2],\n [2, -6, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[10, 3, -1, 10],\n [-10, -10, -10, 6],\n [0, -9, 7, -5],\n [6, 0, -4, 8],\n [1, 8, -3, -7]]\nB =\n[[4, 5, 6, -4, -7],\n [7, 6, 7, -4, 7],\n [2, -6, 1, 4, -8],\n [-5, 0, 8, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-10, 3, 0, 1, 8, -4],\n [7, 9, 5, 4, -5, -4],\n [-2, 3, -10, -1, -9, -1],\n [0, 0, -7, 5, -10, -9],\n [-5, 8, -3, 9, -5, 5],\n [3, 0, -8, 3, -8, 6]]\nB =\n[[6, -2, -4, 1, 9],\n [3, -4, -10, 5, -7],\n [-4, -6, 2, -5, -6],\n [-10, 5, -9, -10, -8],\n [9, 9, -4, 10, 7],\n [-7, 3, -5, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 7, -6, 4, 9, -8],\n [1, 3, 6, 1, -4, 1],\n [10, 2, 6, -8, 2, -6],\n [1, 8, 0, -4, -5, -3],\n [3, -7, 3, -1, -5, 7]]\nB =\n[[7, -9, -3, -4],\n [3, 1, -10, 0],\n [2, 7, -4, -4],\n [-9, -10, 6, -8],\n [0, -3, 2, -10],\n [-7, -2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1394", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -9, 4, 5, -1, 5],\n [9, 3, 10, 3, 1, 4],\n [-3, 6, 7, 0, 1, -5],\n [10, 4, -4, -2, -8, 3]]\nB =\n[[-5, -3, 3, -7],\n [6, 8, -1, 4],\n [-2, -5, 6, 1],\n [9, -10, -10, 0],\n [-6, 3, 9, 10],\n [1, -4, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -10, -6, -1],\n [-3, -9, 9, 1],\n [-7, 3, 7, 8],\n [-3, 7, 0, 9]]\nB =\n[[9, -10, 9, -4],\n [-1, -8, 1, -9],\n [7, 2, 7, -10],\n [9, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -6, 2, 9, 8],\n [-10, 6, -7, -7, -8],\n [7, -5, -6, 1, 6],\n [2, -9, -5, -9, -2]]\nB =\n[[-2, -3, -10, -6, -5, 0],\n [-10, 7, -6, 1, 1, -7],\n [6, 0, -4, 10, -7, 4],\n [7, -3, 3, 3, 4, 10],\n [-9, 7, -2, 2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[-5, -10, 6, -1],\n [-9, -10, 0, 3],\n [6, -6, -7, -2],\n [1, 8, -5, -4],\n [2, 3, -2, 2]]\nB =\n[[-8, 8, 8, -1, -2, -9],\n [3, 6, 3, 9, -2, 7],\n [-5, -10, 7, 0, -7, -2],\n [5, -4, 0, 3, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, 5, -10, -1],\n [9, -10, 7, -10, -3],\n [-3, -5, -6, 3, 8],\n [-8, -8, -7, 4, 5]]\nB =\n[[5, 8, -9, -8, 6, -5],\n [-1, -8, 7, 5, 8, -7],\n [4, 0, -2, -7, -1, -7],\n [3, 0, -1, -2, 8, 9],\n [6, 1, -5, 3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -5, -9, -10],\n [9, -2, 2, 5],\n [0, 3, -9, -7],\n [6, 0, -7, 3],\n [10, 10, 2, 4],\n [0, 4, 1, -3]]\nB =\n[[3, -7, 3, -6, -8, -5],\n [-4, 4, 2, 6, -7, 10],\n [-8, 7, -10, -9, -2, -3],\n [-5, -9, -6, -10, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, -1, 1, 2, -4],\n [6, -3, 2, 4, -7, 4],\n [-8, -1, 5, -4, -3, 6],\n [-8, -6, -5, -1, -5, -9],\n [10, 6, 7, -6, -3, -4]]\nB =\n[[5, 6, -9, -3, -2, 2],\n [3, -1, -8, -9, 3, -5],\n [10, -3, -8, -5, 0, 9],\n [-6, -4, -10, 0, -5, -9],\n [9, -2, -7, 0, 10, 0],\n [2, 10, 3, 8, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -2, 1, 7, 9],\n [-4, -1, 1, 2, 0],\n [-7, -9, -5, 6, -1],\n [3, -2, -3, -9, -10]]\nB =\n[[-7, 4, -4, 10, 1],\n [4, 2, 3, 3, 2],\n [-2, 10, 8, 6, -3],\n [-5, -6, 5, -5, 10],\n [-3, 8, -7, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 6, -10, -8, 8, 7],\n [1, 10, 3, 9, -1, 8],\n [-3, -5, 3, 7, -1, 0],\n [6, -3, 6, 2, 9, -7]]\nB =\n[[-8, -7, 7, 8, -4],\n [8, -10, -8, -6, 5],\n [-3, -8, 7, -9, 1],\n [9, 1, 5, 5, -8],\n [8, -7, 7, -3, 8],\n [0, 8, -10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 0, 10, -7, 3],\n [4, 0, -1, -8, 7],\n [9, 5, 1, 4, 2],\n [-5, 10, -6, 8, -8],\n [5, -8, -6, 7, -7]]\nB =\n[[3, 9, -7, -9, 7],\n [-6, 9, -5, 10, -2],\n [-3, 9, 1, 3, 10],\n [-5, 2, -7, 8, 10],\n [-8, 0, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1563", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -2, -6, -1, 6],\n [10, -2, -4, 10, -5],\n [-7, 9, 7, 7, -2],\n [7, -9, -10, 7, -7],\n [5, -9, -7, 2, 0],\n [-5, -7, -3, 9, -4]]\nB =\n[[0, 2, -8, -3, 9],\n [7, -7, 2, -7, 2],\n [-10, -7, 8, -8, -4],\n [8, 1, 0, -10, -8],\n [-2, 4, 4, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -3, -10, 2],\n [-6, -9, 0, 9],\n [-4, 9, 3, -1],\n [-10, 8, 8, -2]]\nB =\n[[-4, -2, 2, -7, 1, 9],\n [0, -5, -9, -10, -2, 8],\n [-5, 5, -3, -9, -4, -10],\n [-3, 0, -6, 5, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-4, 4, 5, -4],\n [-1, -6, -9, -1],\n [9, 9, -2, 0],\n [-10, -5, 6, 9],\n [-7, 9, 1, -4],\n [3, -9, 6, 1]]\nB =\n[[-2, 4, -9, -5, -4],\n [7, -5, 3, -4, 7],\n [3, -1, -3, 5, -1],\n [-10, -4, 6, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -8, 7, 7, -8, 0],\n [-2, -4, -4, 7, -3, 8],\n [-5, -2, 5, 1, -3, 0],\n [10, -3, -10, -10, -5, -10]]\nB =\n[[7, -1, -3, 6, -1, 9],\n [1, 0, -7, -10, 3, -5],\n [-2, 10, 8, 9, -2, -3],\n [5, -10, 0, 9, 6, 10],\n [10, 4, 8, -8, 10, -8],\n [3, 7, 10, 7, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 1, 6, -8, -9, 8],\n [-8, -4, -2, 5, 7, 2],\n [5, -2, 10, 4, -4, -8],\n [3, -7, 10, 4, -10, 0]]\nB =\n[[4, 6, 9, 10, -8, 9],\n [-3, 10, -2, -7, -3, 1],\n [-2, -1, -8, -5, 1, 1],\n [-1, 10, -4, -2, 10, 4],\n [2, 7, 9, -4, 2, 0],\n [-8, 4, -3, 2, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-247", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -7, 6, -3, -8],\n [-8, 5, -6, 9, 8],\n [1, 5, -1, -2, 4],\n [-8, 9, -10, -8, -7],\n [6, -5, -5, 3, -4]]\nB =\n[[10, -1, -3, -8, 2, 4],\n [-8, 5, 7, -5, -8, -2],\n [7, 9, 10, -6, -2, -5],\n [9, -6, -7, 8, 10, -3],\n [5, 8, 5, 5, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-570", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, 2, 6, 5, -6],\n [-2, 10, -5, 10, 10, 7],\n [9, -9, 4, -6, 7, -5],\n [0, 5, -2, 9, -2, -8],\n [5, 1, -5, 3, -1, 9]]\nB =\n[[6, -5, 8, -6],\n [0, 6, 8, -9],\n [-10, 8, -1, -9],\n [7, -1, -3, 7],\n [3, -3, -3, -3],\n [8, -1, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 9, -7, -9, -10],\n [1, 3, -8, -7, 10, -7],\n [10, 5, -10, 0, 5, 3],\n [-3, 7, -10, -8, 6, 3],\n [-5, 4, -5, 2, 4, -8],\n [7, 2, -8, 0, 2, 2]]\nB =\n[[-5, -10, -9, 2, -2],\n [5, -2, -2, 3, 2],\n [-3, 2, 4, -2, -9],\n [5, 4, -3, 0, -10],\n [-8, -3, -9, 4, -10],\n [4, 6, -4, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, -7, -5],\n [-2, 0, 0, 9],\n [1, -5, 5, -1],\n [10, 10, -5, 9],\n [5, 2, -2, -7],\n [3, -7, -10, -7]]\nB =\n[[10, -8, -10, -4],\n [-4, 6, -10, -9],\n [-4, -6, 0, 2],\n [10, 4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, 5, 9, 6, -5],\n [9, 7, 2, -9, -9],\n [-1, -3, 7, -10, 10],\n [-7, -9, -9, 7, 1],\n [9, 10, 10, -6, 0]]\nB =\n[[6, 10, -1, 2, -7],\n [6, -1, -4, 9, 3],\n [-9, -1, -9, -6, 3],\n [9, -3, 7, -10, -1],\n [2, 4, 7, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 5, 10, -1, 5, -4],\n [0, -7, -1, 4, -9, -6],\n [-7, -4, -1, -7, 9, 1],\n [-9, 7, 8, 4, 2, 8]]\nB =\n[[6, -10, -6, 4],\n [-10, -5, -6, 8],\n [-7, -1, 6, 2],\n [-7, -8, 0, -2],\n [-9, 0, 5, 6],\n [-7, -6, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 6, 1, 3, -3],\n [8, 1, 3, 2, 9],\n [-3, -7, 10, -8, 5],\n [-10, 3, -6, 6, 6],\n [5, 2, 3, -2, -9],\n [9, -3, 3, -1, 4]]\nB =\n[[-5, 2, -4, 7, 7],\n [0, -1, 2, 7, -8],\n [-8, 8, 2, -2, 9],\n [-4, 3, -2, -7, 5],\n [0, -7, -1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1526", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, 2, -8, 1],\n [7, -8, -5, -9, -9],\n [-5, 8, 0, -2, -10],\n [-7, 8, -6, 5, -6]]\nB =\n[[7, 4, 3, 1, -2],\n [-1, -3, 6, -10, 8],\n [2, 1, -1, -1, -3],\n [-6, 10, 5, -3, -10],\n [8, 9, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-499", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 1, -2, 10],\n [-5, 3, 4, 5],\n [6, 5, -8, 8],\n [6, 1, 7, -7],\n [10, -10, -7, -7]]\nB =\n[[2, 4, -4, 4, -5, -2],\n [-4, 5, 3, 4, 3, 5],\n [-7, -4, -3, -10, 8, -7],\n [3, -9, 2, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-3, -6, -6, 2, -10],\n [2, 7, -6, -2, 2],\n [-2, -5, -8, 1, -10],\n [4, -2, 5, 6, 3]]\nB =\n[[-9, -2, 10, -7, -3, 5],\n [0, -9, -8, 9, 7, -7],\n [3, 7, -7, -4, -5, 3],\n [-10, 10, 4, 10, 8, -9],\n [-4, -3, 9, -8, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-4, 1, 7, 0, 6],\n [-1, -2, 2, -7, -5],\n [1, -5, -1, 10, -1],\n [-5, -3, 2, -8, 1]]\nB =\n[[-3, -10, -6, -1, 4, -6],\n [-4, 6, -6, 9, 7, -9],\n [-8, 5, 1, -7, 3, 4],\n [8, -7, 6, 9, -1, 5],\n [9, 2, -5, 10, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, -6, -4, 9],\n [-6, 3, -2, 9, -10],\n [2, 9, -3, -6, 1],\n [-4, 9, -6, -7, 7]]\nB =\n[[1, 6, 10, 9],\n [3, -5, 8, 9],\n [2, 4, 1, -9],\n [5, -7, 2, -2],\n [7, -2, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[7, -1, 7, -10, 10],\n [1, 5, -5, 2, 10],\n [3, -7, 7, 8, 5],\n [7, 9, 10, -7, -8],\n [8, -10, -10, 5, 5],\n [9, 7, 6, 1, 0]]\nB =\n[[7, -5, 6, 8, 7, -7],\n [-4, 7, 5, 3, 9, 3],\n [-9, 8, 1, -3, -4, 1],\n [-2, -6, -2, 10, 10, -1],\n [5, -10, 3, 6, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -7, 2, -9],\n [-7, -7, 2, -7],\n [9, -9, 1, 9],\n [8, -6, 0, 7],\n [5, -10, -6, 1]]\nB =\n[[3, 2, 4, -10, 5],\n [-7, 8, 1, 0, 7],\n [-9, 3, -3, -1, -6],\n [-3, 3, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 6, 8, 0, -6, 10],\n [2, -7, 2, -1, 8, -10],\n [2, -7, 7, -8, 5, 8],\n [-6, -10, -8, -2, 9, -8]]\nB =\n[[-2, 10, -2, 6],\n [-10, -9, 8, -1],\n [-7, 10, 10, 6],\n [-10, -2, -6, -1],\n [-3, 10, -8, -9],\n [-3, 6, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -2, 4, -7, 8, 6],\n [-8, -3, 8, -5, 3, 2],\n [8, 4, 9, 0, 3, 6],\n [3, 5, -4, 6, 6, 9],\n [0, -9, -9, 8, 10, 9]]\nB =\n[[5, -6, 3, -2, 6, -5],\n [0, 8, 3, -9, 2, 8],\n [-10, 2, -7, 0, 7, -5],\n [8, 7, 5, 9, 5, -10],\n [3, -8, 1, 9, 9, 2],\n [10, 3, 9, 1, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "843", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[6, 0, 6, 4, -6, -4],\n [-3, -8, 10, -3, 2, -3],\n [-2, 1, 5, -1, 6, -7],\n [10, 5, -9, -1, -6, 1]]\nB =\n[[4, 9, 7, 1],\n [-6, 6, -2, 5],\n [7, 0, 9, 6],\n [3, 1, 7, 5],\n [8, -3, 2, -8],\n [2, 6, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, 9, -9, 0, 1],\n [6, 4, -5, 7, 10, -4],\n [-10, 1, -7, -4, 9, 6],\n [7, 4, 5, 10, -4, 1],\n [-10, 5, 3, -6, -5, 10],\n [-3, 2, 3, -2, 8, -6]]\nB =\n[[-3, 7, -4, 5],\n [-2, 2, 4, 10],\n [-3, -10, 3, -7],\n [-5, 2, -3, -2],\n [6, 4, 4, 5],\n [-8, -5, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 4, -4, -8, 4],\n [-3, -1, -8, 5, -1],\n [2, -2, -2, 2, 1],\n [-3, 7, 8, 7, 5],\n [-8, -2, -3, 4, 8],\n [6, -3, -10, 2, 8]]\nB =\n[[0, -6, 1, 6, 10, 6],\n [5, -6, 7, 9, -5, -5],\n [8, -2, -8, 6, 6, 4],\n [7, 0, -1, 5, 6, -8],\n [3, -10, 10, 9, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2014", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-5, 3, -8, 3],\n [9, 4, -1, 3],\n [10, 10, -7, 0],\n [8, -6, -6, 2]]\nB =\n[[0, -3, 3, -1, -8, -9],\n [8, 9, -1, -3, 10, 8],\n [5, 9, 1, -7, -9, -2],\n [7, 9, -1, 10, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 7, -6, 5, -6, 3],\n [-9, 1, 8, -8, -7, -10],\n [-4, 2, 6, -4, -9, 7],\n [5, 3, -2, -5, -8, 10],\n [-10, 4, 3, -9, 4, 10],\n [5, -2, 7, -5, -4, 9]]\nB =\n[[10, 6, 1, 7, 5],\n [2, 7, 8, 2, -5],\n [-6, 5, 1, -8, -5],\n [1, 4, -2, -5, 1],\n [3, 4, -5, -5, 8],\n [-7, -2, 6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1912", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[6, 3, 10, 4],\n [-3, 1, -8, -2],\n [-5, -2, -4, -8],\n [-7, 3, 9, -7]]\nB =\n[[3, 1, 1, 2],\n [-6, 8, -6, -5],\n [9, -5, 7, 2],\n [7, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[1, -6, 3, -8],\n [4, 2, 4, 10],\n [-4, 2, -2, 2],\n [-4, 6, 10, 8]]\nB =\n[[9, -5, -3, 7],\n [0, 4, -6, -6],\n [8, 2, 10, -10],\n [-10, 9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -2, 6, -8, 1],\n [0, -8, -7, -3, 9],\n [7, -3, -1, -9, 5],\n [3, 4, -10, 0, 1],\n [-3, -8, 6, 3, 6],\n [-10, -3, 2, 7, 5]]\nB =\n[[0, 4, 2, 3, -3],\n [-10, -4, 5, 10, 9],\n [4, -2, 3, -1, -3],\n [9, 6, -10, 7, 5],\n [-9, -7, 8, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1013", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 1, -5, 7],\n [-2, 7, -4, -6],\n [9, -6, -9, -4],\n [7, 3, -5, 7],\n [10, -3, -9, 4],\n [-5, -7, -2, 10]]\nB =\n[[4, 9, 1, -5, 9, -5],\n [3, 0, -6, 0, 6, 9],\n [5, -8, 6, 1, 9, -3],\n [-1, 8, -7, 9, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -2, -5, 10],\n [9, -6, 9, -9],\n [1, -8, 10, -1],\n [8, 7, -6, -9],\n [-10, -7, -2, 2]]\nB =\n[[0, -6, -1, -9],\n [-10, 2, 2, 6],\n [-1, 8, -5, -9],\n [5, -5, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, 8, -9],\n [-1, 7, 10, 1],\n [-6, 7, -6, 5],\n [-4, 6, 5, -1]]\nB =\n[[-7, -7, -6, 2, 4, 2],\n [9, -4, 7, -3, 0, 1],\n [8, -7, 6, 7, 7, -8],\n [-6, -3, 7, -8, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -1, 0, 8, 2],\n [-9, -8, 1, -10, -7],\n [1, 3, 10, -10, 0],\n [2, -2, 8, -3, 4],\n [6, 2, 7, 1, -1],\n [7, -7, -9, 4, 2]]\nB =\n[[6, -1, -2, 7, -6],\n [4, 10, -8, -8, -9],\n [6, 7, -5, -7, 3],\n [0, -4, -7, -4, -6],\n [7, -3, 2, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1847", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 8, -10, -9],\n [-9, -4, -6, 4],\n [-1, -5, 1, 0],\n [6, 6, -10, -9]]\nB =\n[[-7, -10, 1, 6, 4],\n [-1, -4, 9, -7, -10],\n [-3, 3, -8, 4, -3],\n [10, -2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 10, 3, 2, 2, 4],\n [-3, 10, 3, 2, -10, 0],\n [-4, -9, -5, 8, 7, -3],\n [6, -6, 0, -2, -2, 0],\n [-6, 3, 9, -8, 4, 9]]\nB =\n[[10, 8, -10, 4, -7, -5],\n [-10, 9, 6, -6, 4, 2],\n [4, -8, 5, 9, 0, -1],\n [-9, -9, 2, 7, -2, 2],\n [6, 3, -3, 0, 6, -6],\n [1, -2, 6, 7, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1804", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -10, -3, -4, 2, -3],\n [8, -1, 4, 1, -6, 7],\n [4, -2, -7, -4, -8, -10],\n [4, 2, -8, 6, 6, -4],\n [4, 5, -1, -8, 10, 6]]\nB =\n[[3, -4, -6, -2, 0],\n [3, -3, 5, -3, 0],\n [4, 1, 5, 2, 9],\n [-8, -4, -1, 5, 7],\n [0, 6, 2, 1, -7],\n [4, 1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 5, 6, 3, -1, -4],\n [-8, -6, -7, 5, 5, 1],\n [-7, 10, 6, 0, 10, -3],\n [-2, 9, 2, -2, -4, -7]]\nB =\n[[-2, -2, -4, -10, -10],\n [-2, 1, -7, 6, -10],\n [-9, 7, -9, -4, 9],\n [4, -2, 5, -8, -5],\n [3, 4, -6, 8, 8],\n [-4, -9, -9, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[-5, 6, -2, -7],\n [7, 7, -7, 6],\n [-7, -8, -3, -3],\n [-2, 5, 6, -2],\n [4, -10, -6, 6],\n [6, 3, 7, -5]]\nB =\n[[1, 6, -4, 1],\n [-5, -4, -7, -3],\n [-5, 9, -3, 4],\n [-6, -3, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 8, 10, 3],\n [-6, 1, -1, -8],\n [-7, -6, -9, -7],\n [-8, 2, 1, 0],\n [-8, -1, 3, 8],\n [7, -8, 5, 0]]\nB =\n[[0, 10, -3, -5, 9],\n [9, 4, -8, 6, 0],\n [-10, -4, 8, 1, -8],\n [7, -9, 7, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-575", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 1, -4, -6],\n [0, -7, 3, 8],\n [6, 3, 0, -3],\n [5, 6, 7, 6]]\nB =\n[[-2, -1, 8, -2, -3, 7],\n [-2, -1, 1, 10, 5, -6],\n [-5, 9, -8, -5, -5, -9],\n [5, 8, 7, -1, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 8, -5, 4, 4, -1],\n [-3, 9, 9, -10, -5, 3],\n [4, 6, 1, -3, -6, 0],\n [4, 7, -6, -4, 9, -9],\n [2, -3, 10, 8, -3, -5],\n [-7, -8, 4, -10, -8, 3]]\nB =\n[[5, -4, -10, -4],\n [2, 10, 3, -5],\n [3, 6, 4, -4],\n [-2, -10, -3, 2],\n [9, -3, 9, 8],\n [4, 10, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1595", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -2, 0, 10, -5],\n [-6, 3, -10, 10, 4],\n [8, 0, 0, -5, 10],\n [3, 2, 4, 2, 0]]\nB =\n[[-7, -2, 10, -10, 2],\n [8, -9, -2, 5, 1],\n [-10, 3, 8, -9, 5],\n [6, -1, -8, 7, 6],\n [-1, 5, -6, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -4, -6, 7],\n [-6, 8, 9, 6],\n [9, 10, -1, -1],\n [7, -6, -10, 4],\n [6, -6, -1, 1],\n [1, -2, 7, -8]]\nB =\n[[-2, 5, 9, -9, 4, 10],\n [-6, 3, 1, 0, 0, 6],\n [10, 2, 3, 4, -8, 6],\n [-8, -3, -9, 9, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2436", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 7, -9, -2],\n [2, 6, -7, -4],\n [-8, -6, 7, 4],\n [9, -1, -3, -9],\n [-9, -10, 8, 0]]\nB =\n[[-10, -4, -5, 7, -7],\n [6, 3, 8, -7, 8],\n [2, 2, -4, -4, 0],\n [-7, 6, 1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[4, 10, 5, 5, 3],\n [2, -1, 1, -5, 5],\n [0, -2, 0, -2, -4],\n [-4, -10, 2, 4, -10],\n [10, 9, 8, -6, -10]]\nB =\n[[2, -6, -6, -10, -4],\n [-4, 4, 1, -7, -10],\n [9, 6, -5, -3, -9],\n [-10, -4, 0, 8, 0],\n [7, 7, 1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 10, 0, 6, 5],\n [-6, -5, 5, -2, -9],\n [7, 6, -7, 2, 7],\n [6, 8, 8, 2, 4]]\nB =\n[[10, -1, 7, -9, -3, -10],\n [1, -10, 10, -4, 3, 6],\n [7, -4, 10, -10, -7, 10],\n [-3, 4, -10, 7, -10, -7],\n [5, 6, -6, -5, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1483", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -4, -6],\n [-4, 8, -1, 10],\n [-3, 3, -2, -8],\n [-3, 4, 9, 1],\n [7, 5, 7, -1]]\nB =\n[[-7, 4, 1, -2, -2, 6],\n [-3, 3, 9, -9, -8, 2],\n [7, -8, 3, 1, 2, 0],\n [-1, -6, 3, -2, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[4, -3, -7, -9],\n [-3, 3, 7, 6],\n [9, 5, -1, 8],\n [-3, 2, 4, -8],\n [-9, 0, -4, 10]]\nB =\n[[-6, 7, 5, -2],\n [9, 8, -1, 9],\n [-3, -5, -9, -8],\n [0, -2, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 5, -3, 2, 0, 4],\n [9, 5, 9, -6, -10, 0],\n [-10, 3, 4, 8, 7, 7],\n [-7, -7, 0, 10, -1, -3],\n [9, 9, -7, 4, 7, -8]]\nB =\n[[9, 0, -9, 8, 5],\n [9, 0, 9, -2, -2],\n [-7, 3, -3, -4, 8],\n [0, 7, 4, 0, 1],\n [-9, 2, -3, -2, 3],\n [-9, -9, -7, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 2, -10, -2, -5],\n [-6, -2, -10, -8, 2, -1],\n [1, 6, -7, -4, -2, 0],\n [-7, 3, 2, 9, -9, 1],\n [9, 9, -7, -10, 1, 4]]\nB =\n[[10, -3, -6, -7, -9, 3],\n [0, -10, 0, -2, 1, -9],\n [6, -9, 6, 6, 4, -9],\n [1, 10, 6, 1, 5, 9],\n [-9, -9, -4, -8, 0, 8],\n [5, -10, 1, 8, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2344", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 8, 8, 3, 7, -9],\n [5, 5, 6, 8, 8, 0],\n [-7, 6, -2, 10, -2, -3],\n [1, 4, -5, 8, -6, 9]]\nB =\n[[5, -9, -6, -6],\n [3, -4, 10, -5],\n [-10, 4, 9, 4],\n [-5, -2, 6, 4],\n [4, 9, -3, 0],\n [10, 8, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -8, 0, -10, 1, -8],\n [8, 3, 0, -4, -2, 3],\n [-5, 9, 4, 4, -1, 7],\n [3, 10, -9, 6, -6, 2],\n [9, -4, -10, 1, -6, 10]]\nB =\n[[1, 10, -4, -3],\n [3, -8, 8, -2],\n [1, 9, 7, 1],\n [7, 7, 5, 4],\n [7, -2, 1, 5],\n [-5, -1, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-457", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 6, -7, -7],\n [-5, -10, 8, -3, -9],\n [-3, 0, 8, -6, -8],\n [-8, 8, -3, 4, 10],\n [2, -9, 8, 10, 8]]\nB =\n[[-4, -10, -9, 0],\n [-5, 6, -5, -1],\n [-2, 3, -10, 5],\n [8, -9, 5, 2],\n [-3, -10, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1869", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[8, -5, -3, -4],\n [4, 6, 4, 4],\n [-8, 8, -4, -2],\n [-10, 7, 9, -10],\n [-9, 9, -9, 1],\n [9, -2, -2, 1]]\nB =\n[[-9, 3, -3, 2, 0, 9],\n [8, 5, 4, -2, 1, 5],\n [6, -7, -8, 5, 7, -7],\n [0, 1, 7, -4, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-4, 10, 10, 2, -3],\n [-9, -4, -5, -3, -1],\n [2, -8, 8, 5, -2],\n [0, -4, 4, 8, -6],\n [2, 9, 3, -1, -8]]\nB =\n[[4, -7, 6, -10, 7, -5],\n [-1, -6, 0, 2, -1, 1],\n [-4, -6, 3, -6, -5, -2],\n [2, -4, 9, 8, 10, -4],\n [8, -8, 8, 3, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 7, -10, -5, -5, -10],\n [7, 1, -4, -5, -8, -2],\n [8, -7, 5, -3, 6, -1],\n [4, 10, -2, 5, 1, 10],\n [-10, 1, -10, 5, 7, -2],\n [-6, -2, -9, 6, 4, -3]]\nB =\n[[9, 6, -9, -7],\n [-4, 6, 1, 10],\n [-8, -10, 4, -1],\n [0, -4, -8, 5],\n [5, -9, 4, -6],\n [3, -2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "552", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -3, 10, -6, 10, -4],\n [3, -6, -3, 10, -7, 2],\n [-7, -4, 4, -10, 0, -1],\n [-4, -9, 7, -7, -9, -4],\n [6, -9, 5, -7, 8, 1],\n [3, -10, -9, -2, 3, -3]]\nB =\n[[-9, 7, 6, 4, 5, 2],\n [8, -6, -2, 6, 8, -7],\n [4, 2, 10, -5, 6, 0],\n [5, 9, 4, -1, 9, -9],\n [-4, -3, 2, 2, 1, -8],\n [-6, -10, 1, 5, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2572", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -6, -5, -2, 5, 3],\n [6, 7, -1, -6, 6, -2],\n [-5, -8, -2, 7, -7, -10],\n [1, 9, 0, 4, 5, -5]]\nB =\n[[7, 1, -3, -6, -9],\n [-4, 1, 0, -9, 9],\n [-3, 10, -8, 10, 0],\n [-4, 7, -9, 4, -8],\n [-9, 6, 0, 4, 10],\n [-3, -10, -2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-8, 2, -7, 10],\n [-3, 9, -1, 10],\n [-8, -4, 10, -7],\n [-4, 7, 6, 6]]\nB =\n[[8, 10, 10, -1, 10, -10],\n [-1, -10, 7, 4, -8, 4],\n [-1, 3, 10, -4, 0, 1],\n [8, -7, 4, -8, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -3, 5, 8, -1, -4],\n [-8, 2, -1, -5, -10, 6],\n [6, -9, -7, -5, 2, -4],\n [3, -6, -7, 9, -5, 6]]\nB =\n[[5, 9, -4, 0],\n [-6, 1, -1, -6],\n [-7, -3, 6, -5],\n [3, -2, 3, -5],\n [4, -8, 3, 2],\n [1, 4, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 10, -4, 0, 9, -7],\n [-4, -6, -6, 6, -5, -7],\n [-2, 3, -4, -10, 1, 2],\n [4, -10, 7, 7, 5, -1],\n [6, -4, 8, 5, -2, 6]]\nB =\n[[-7, -1, -10, -9, -9],\n [7, -3, 1, 2, 3],\n [-8, 6, 8, 10, -4],\n [3, 8, -2, 0, -5],\n [4, 6, 7, -2, -9],\n [1, 2, -6, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 0, -9, 10, 3],\n [-1, -1, -6, 2, 0],\n [-9, -9, 10, -8, -7],\n [4, 4, 10, -8, 7]]\nB =\n[[9, -4, 9, 1, -8, 6],\n [-8, -7, 6, 3, 3, 3],\n [9, -9, 2, 3, -9, -8],\n [0, 9, -8, -5, -4, -4],\n [4, -5, 6, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-6, -2, 1, -8, -8, 7],\n [-6, -8, 1, 9, -6, -4],\n [-2, 9, -1, 1, -8, 9],\n [-3, -10, -6, 5, -1, -5],\n [2, 5, -6, 1, -7, -3]]\nB =\n[[-1, -1, 7, -4],\n [3, 2, 4, -2],\n [4, 3, -5, -2],\n [-1, 1, -6, 2],\n [-6, -6, 7, -4],\n [-10, 8, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -10, -4, 7, -8],\n [9, -5, 8, -2, -1],\n [3, 3, 5, -6, -4],\n [5, -3, -4, -10, -7],\n [5, -7, 7, 7, -2]]\nB =\n[[0, -1, 4, -9],\n [-9, -10, 8, 2],\n [8, 10, 2, 10],\n [-1, -1, 1, 9],\n [-9, -1, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -8, 5, -8, -6],\n [4, -6, 1, -4, -3, -9],\n [0, -4, -7, -6, 9, -5],\n [1, 8, -7, 5, 0, -10]]\nB =\n[[9, -7, -4, -7, 0],\n [-2, 6, 10, 8, -10],\n [-3, 4, 1, -3, 9],\n [-6, 7, -1, 1, 7],\n [-9, 6, -2, 2, -6],\n [9, 0, 10, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1370", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 0, 3, -6, 5],\n [9, 10, 0, -7, 0],\n [8, 7, 4, -6, 5],\n [1, 3, 7, 4, -7],\n [3, -4, 7, -9, -9],\n [5, 6, -8, -1, 7]]\nB =\n[[-4, -9, 2, 4, 9, 1],\n [-3, -7, -9, 3, -4, 5],\n [-1, 7, 8, 8, 3, -9],\n [-1, 6, 6, 5, -9, -8],\n [-4, -10, -10, 9, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 6, 3, 7, 4, 1],\n [-9, -6, 8, 8, 0, -6],\n [7, 9, -1, 10, 8, -8],\n [8, 3, -7, -6, 1, -2],\n [4, 9, -6, 6, -2, -10]]\nB =\n[[6, -8, 2, 8, 2],\n [4, 1, -5, 7, -1],\n [-2, 7, -6, -6, 8],\n [-4, -10, -1, -8, 4],\n [10, -5, 8, -6, 7],\n [1, -1, 3, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2050", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -2, 1, 9, -3, -10],\n [-8, -9, 4, -4, -3, -7],\n [-6, 1, -5, -1, 5, 0],\n [-10, 9, -8, 4, 10, -6],\n [6, 0, 5, -9, -9, -7],\n [5, -8, 2, 10, -2, -3]]\nB =\n[[10, -8, -5, 9],\n [-2, 4, -6, -1],\n [-5, -5, -7, -4],\n [5, 1, -10, -6],\n [-4, -4, 7, -9],\n [5, -5, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1887", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 3, -1, 1],\n [9, 5, -5, -2],\n [-4, 8, 5, 2],\n [5, -5, 0, 0],\n [3, 10, 1, -4]]\nB =\n[[9, -1, -9, -5, -4],\n [10, 4, -4, 7, -1],\n [-5, 7, 0, 1, -10],\n [10, -5, 1, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, -4, -9],\n [9, 4, 10, -9],\n [-2, -8, -7, 6],\n [-9, 8, 3, 5],\n [7, -8, 7, -1]]\nB =\n[[-6, 7, 2, 2],\n [8, 3, 3, -9],\n [-6, -4, -9, 8],\n [6, 2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1290", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, 4, -6, -1, -2],\n [-7, 3, 8, -2, 7, 5],\n [6, -2, -9, 3, -4, 3],\n [7, -2, -1, -5, 6, -1]]\nB =\n[[-3, 6, -5, 6, 4, 10],\n [-4, 3, -4, -10, -10, -2],\n [6, 10, -2, 5, 6, -10],\n [-9, 2, 3, -3, 6, -7],\n [-6, -8, 5, -5, 5, -10],\n [4, 3, -8, -10, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -8, -5, 3],\n [4, 5, 10, -1],\n [-8, 4, 6, 1],\n [-10, 9, -10, -3]]\nB =\n[[4, -2, 7, -8],\n [-10, -1, 6, 2],\n [4, -7, 9, -3],\n [0, 3, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -5, 6, -7],\n [-6, 6, -10, -5],\n [-4, -8, 5, 9],\n [-3, 5, -10, 0]]\nB =\n[[9, 5, 2, -7],\n [-3, 1, 7, -2],\n [-7, 9, 8, -8],\n [-3, -7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "940", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 9, 7, -2],\n [9, 5, 10, -3, 2],\n [-7, 9, -3, -6, 10],\n [-6, -7, -5, -3, 0],\n [1, -3, 0, 10, 4]]\nB =\n[[10, -2, 8, 5, 3, -5],\n [3, 8, -6, 6, 2, 10],\n [-3, 3, -7, 3, -2, 0],\n [8, 0, 9, 9, -4, 4],\n [-6, -1, 2, -10, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, 10, 1, -1, -4],\n [-8, -10, -5, -2, 6],\n [-9, -5, 9, -1, 9],\n [2, 4, 5, 9, -2]]\nB =\n[[2, 3, 6, 9, 5],\n [4, -9, 6, -4, 10],\n [2, 2, -1, 6, 5],\n [7, 7, 1, -8, -9],\n [5, 2, -2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -10, 1, 6],\n [-8, -7, -7, 5],\n [8, -9, 7, 3],\n [9, 8, 10, -8],\n [1, -3, 3, 1],\n [8, 0, 6, -5]]\nB =\n[[-2, -3, -9, -3],\n [6, -1, -8, -4],\n [-9, 2, -10, -7],\n [-1, 6, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -7, 6, 4],\n [-5, -3, -3, -8, 8],\n [0, 1, 7, -1, -9],\n [9, -1, -2, 2, -9]]\nB =\n[[-6, 0, -10, -8],\n [0, -7, 6, -9],\n [-6, -1, -8, -1],\n [3, 2, 6, 3],\n [-8, 3, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, 3, -3, -5],\n [-9, 3, 7, -10, -9],\n [2, 6, 8, 4, 3],\n [-4, -6, -5, 5, -6],\n [-1, 1, -9, 8, 7],\n [3, 9, 3, -4, 3]]\nB =\n[[-9, 3, 1, -8],\n [-4, -7, -6, 7],\n [-7, -10, -6, 10],\n [-3, 3, 6, -1],\n [6, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 9, 4, -2, 5, 6],\n [-2, 8, 4, -3, -6, 9],\n [5, 0, 1, 3, 3, -3],\n [-5, 2, 10, 5, 7, 7]]\nB =\n[[-1, -1, 8, 1, -9],\n [2, 8, 5, -7, -3],\n [-10, -3, -8, -10, 2],\n [-5, 5, 6, -7, -6],\n [-9, 4, -7, -6, 8],\n [6, 0, 0, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1442", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 7, -8, 2, 8, 4],\n [3, -7, 1, -10, 5, 5],\n [4, -6, -8, -10, -8, 10],\n [5, 10, -4, 7, 1, -9],\n [5, 5, 0, 7, 8, -10],\n [-3, -7, 3, 1, -8, -3]]\nB =\n[[-10, 8, 5, -8, -1, -5],\n [-10, 2, 2, 6, -8, 10],\n [-5, 1, 6, 0, 8, -6],\n [8, 8, -3, 7, -5, 2],\n [4, 6, -10, -6, 7, -5],\n [5, 6, 8, 3, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -3, 8, -6, 3, 4],\n [5, 2, -6, -1, -3, 10],\n [5, 0, -6, -5, 4, 8],\n [-4, -3, -9, 2, -6, -9]]\nB =\n[[-3, -7, 5, -5],\n [10, 0, -3, -8],\n [2, -8, -8, 2],\n [0, 8, 2, 7],\n [-1, 3, 10, 7],\n [1, 6, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[9, -2, 7, 10],\n [0, -3, -8, -3],\n [-5, 1, -4, -10],\n [-3, -7, -3, 6],\n [2, -8, -4, -4],\n [-9, 10, -7, 0]]\nB =\n[[-9, 1, -2, 5],\n [7, 2, 1, 5],\n [8, -10, -2, 9],\n [8, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, 7, 10, -4, -6, 9],\n [9, 2, -8, -6, 6, -9],\n [-6, -9, -4, -7, 5, -8],\n [-3, -2, 9, -1, 7, -3]]\nB =\n[[4, 4, 0, -5],\n [-9, 8, 6, 6],\n [9, 7, 5, -10],\n [-6, 8, -3, -7],\n [-10, -8, 7, 5],\n [7, 4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -1, 7, -9, 9, 2],\n [-10, 10, -6, 3, -2, 5],\n [7, -10, -8, -10, 10, -6],\n [5, -10, 5, 10, 7, -7],\n [5, 3, 6, -7, -7, -9]]\nB =\n[[7, 10, -8, -7],\n [9, 7, 1, -6],\n [5, -10, 8, 3],\n [8, 7, 8, 3],\n [-4, -1, -3, -3],\n [9, -9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-9, -7, 7, -3, 0],\n [4, -8, 3, 3, -10],\n [1, -6, 10, -9, 4],\n [0, 9, 5, 9, -3],\n [8, 2, 4, 8, 2]]\nB =\n[[-4, 7, -6, 10, -2, -1],\n [0, -9, 9, -5, -6, 9],\n [1, 1, -4, 2, 1, -5],\n [-7, 7, -7, -3, -2, -3],\n [-6, 10, -9, -5, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, 5, -3],\n [8, -8, -5, -4],\n [0, 9, 0, 8],\n [3, 10, -5, 4]]\nB =\n[[4, 3, -9, -8, 0],\n [2, -8, 1, -3, -8],\n [-2, 4, -10, 8, -2],\n [4, 4, -2, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[-9, -2, 7, 0, -1, 5],\n [-2, 2, 9, -3, -9, -5],\n [9, 3, 10, -10, -7, 8],\n [-8, 3, -4, 7, 3, 3],\n [7, -4, -6, -1, -1, -8],\n [-8, -8, -1, -10, 2, 1]]\nB =\n[[5, 7, 5, -8, -4],\n [-9, 4, 2, 5, -8],\n [4, 1, 2, -3, -8],\n [-4, -3, 8, 10, -3],\n [-9, -2, -2, -7, 1],\n [9, 9, -7, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 9, -10, 8, 3],\n [10, -1, 7, 3, 5, 9],\n [7, -10, 2, 1, -2, -2],\n [2, -7, 5, 6, 3, -4],\n [-4, 9, -7, 9, 1, -3],\n [-9, -8, -8, -8, -3, 4]]\nB =\n[[-1, -9, 1, -5, 10],\n [8, -6, -7, -2, 0],\n [-2, -10, 10, -10, -2],\n [1, 2, 9, -2, 9],\n [1, 10, 7, 8, -3],\n [-5, 3, -2, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2584", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -3, 7, 10],\n [-4, 8, 7, 7],\n [-7, -3, -6, -9],\n [-5, 7, 1, 9],\n [9, -10, 8, -8],\n [5, 6, -3, -2]]\nB =\n[[7, 9, 8, 6, 6],\n [7, -2, 5, 2, 4],\n [-1, -5, -3, -3, -10],\n [-10, 6, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -5, -3, -10],\n [-1, 0, -1, 10],\n [9, -7, -9, 8],\n [6, 6, -10, -8]]\nB =\n[[2, -10, 8, -1, 4],\n [-6, 9, 9, 5, 5],\n [3, 2, 6, -10, -10],\n [-3, -5, 1, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -3, -1, -6, 3],\n [-7, -1, -5, 5, 8, 1],\n [2, 1, -10, 3, 7, 2],\n [-2, 6, 2, -9, -6, 8]]\nB =\n[[5, -6, 5, -2, -2],\n [-3, 6, -5, -3, -6],\n [-3, -4, -5, -2, 9],\n [-4, 1, 10, 9, -3],\n [4, 9, -4, 4, -4],\n [-9, -1, -1, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1382", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -8, -5],\n [9, -9, 9, 3],\n [6, -2, 2, 0],\n [-2, -9, 8, -10],\n [4, -4, 6, 10],\n [10, 3, -5, 10]]\nB =\n[[2, -3, 10, 7],\n [9, -7, -8, -9],\n [-9, 9, 1, -1],\n [0, 4, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[0, -3, -10, -9, 10],\n [4, -8, 2, 0, 2],\n [6, -9, 3, -2, -3],\n [9, 0, -3, 7, 10],\n [8, 0, 1, 9, 4]]\nB =\n[[8, 1, 6, -8, 3],\n [0, 6, 6, 4, 4],\n [-6, 0, -8, -7, 6],\n [4, -3, 1, -1, -6],\n [-8, -2, 3, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 0, 2, 0],\n [8, -9, -5, -5],\n [6, -9, -7, -8],\n [8, -10, -6, -2],\n [-2, -7, -5, 8]]\nB =\n[[3, -4, 7, -6, 9, -2],\n [8, 5, -3, 7, -5, 9],\n [-3, -7, -1, -7, -6, -10],\n [7, -6, -4, 2, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 4, 6, -7],\n [9, -9, -6, 10],\n [-7, 1, -4, 0],\n [-8, -2, -1, -9]]\nB =\n[[7, 8, 2, -1, 9],\n [-3, -6, 7, 0, 0],\n [5, -1, 5, -1, 6],\n [1, 3, -2, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -7, 0, -7],\n [-3, 5, -8, -5],\n [0, 1, -8, -6],\n [-6, 6, 8, 9],\n [-3, 1, 7, 5],\n [-10, 8, 8, 8]]\nB =\n[[7, 3, 9, 8],\n [-8, -8, -3, -2],\n [-9, -9, -6, -2],\n [10, 1, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-808", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, 3, 2],\n [5, 5, 7, 3],\n [-3, -5, 6, 6],\n [6, -6, 7, -8],\n [-3, 2, 0, 4],\n [-1, 0, 1, -10]]\nB =\n[[-6, 7, -7, 4],\n [10, -4, 4, 8],\n [-6, 3, -7, 3],\n [0, -3, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 4, -7, -8],\n [6, -7, 7, -6, -1],\n [-2, -4, -2, -5, -8],\n [-8, -1, 1, -7, 3],\n [-3, -8, 4, -9, -3],\n [-8, -8, -4, 8, 3]]\nB =\n[[9, 1, -1, 10, 10],\n [1, -4, -3, -8, 5],\n [-4, -7, 6, -6, -9],\n [3, 6, 4, -5, 6],\n [-8, -7, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, -7, -1, 3, -8],\n [6, -8, -3, -1, -8, -8],\n [-4, -8, 1, -10, 7, -5],\n [10, -9, -1, 3, 9, 4]]\nB =\n[[-2, 10, 4, 0, -4, -2],\n [6, 5, -6, 6, -5, 5],\n [1, 1, 1, -7, -2, -1],\n [-1, 9, 4, 10, 3, -6],\n [9, 4, 0, 5, -7, 1],\n [3, -8, 5, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 0, -6, 6, 6],\n [-4, 2, -6, 7, 0],\n [8, 0, -2, -3, 2],\n [-8, -1, 3, 3, 6],\n [-6, -2, 4, -2, 7],\n [1, 0, 7, -1, 1]]\nB =\n[[5, 5, -6, 3, 5],\n [-3, -1, 5, 0, -2],\n [-9, 2, -4, -2, -8],\n [-10, 3, -9, -7, -4],\n [7, 10, 9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -4, 2, -1],\n [1, -2, -4, -8],\n [0, 2, -3, 4],\n [3, -3, 10, 2],\n [5, -5, -5, -6],\n [-9, -1, 8, -3]]\nB =\n[[5, 1, -8, 0],\n [-7, 5, 9, -6],\n [7, 7, 2, 6],\n [1, -10, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[6, 8, 9, -5, -8],\n [-2, 9, -7, 9, -1],\n [-6, 7, 5, -4, -6],\n [4, 6, -7, -3, 4],\n [-9, 1, 2, -8, -10]]\nB =\n[[0, -9, 7, -7],\n [-10, -2, 8, -10],\n [6, -7, -6, 8],\n [-4, 4, -1, -2],\n [-10, 2, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -2, 9, 7],\n [2, -5, 1, -6],\n [4, 10, 2, -8],\n [-7, 10, -3, 4]]\nB =\n[[-1, 3, -6, 0, 1],\n [-5, -7, -8, -10, -5],\n [-1, -6, 9, 8, 2],\n [4, 3, -2, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1071", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, 5, -1, 3, 3],\n [4, -9, 7, 9, 9, 7],\n [1, -2, 6, -5, -3, 8],\n [4, -10, -2, 9, -5, -6],\n [-6, 1, 3, 2, 9, 7],\n [2, -3, -10, 0, -7, -9]]\nB =\n[[-8, 5, -6, 6, 4, -8],\n [3, -5, 3, -7, -9, -4],\n [2, -9, 10, 10, 2, 9],\n [-2, -7, 3, 9, 8, 6],\n [6, 3, -8, 10, 2, 0],\n [5, 9, 8, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 10, -7, -10, -4],\n [-8, -9, 8, -5, -8],\n [0, -6, 6, 3, -5],\n [1, 5, -9, -4, -1],\n [-5, 0, -2, 0, 2],\n [-8, 4, 10, 6, 0]]\nB =\n[[-8, -4, -4, 1, 6],\n [-7, 1, 9, 7, -6],\n [7, -8, -4, -5, 10],\n [1, -7, 5, -6, 9],\n [-4, -10, -5, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 10, 8, 5, 1, 9],\n [-2, 0, 4, 8, -4, 9],\n [-5, -1, 5, 5, -8, -10],\n [8, -7, 9, 2, -4, -1],\n [-8, -6, 4, 7, 7, -3],\n [-2, -1, -6, 2, 2, 1]]\nB =\n[[-2, -6, 5, 2, 2, -4],\n [1, -5, 8, 3, 1, 10],\n [1, -3, -9, -7, -4, 4],\n [-4, -8, -7, 0, -3, -5],\n [-10, 7, 1, -6, -3, -8],\n [0, -7, 4, -10, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-484", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, 8, 0, 3, 3],\n [-10, -4, -9, -10, -9, -2],\n [-4, 8, -6, 5, -3, 5],\n [-10, -4, 2, 1, 0, -5],\n [-2, 5, -9, 8, 5, -9],\n [2, 6, -2, 7, 4, 9]]\nB =\n[[-4, -5, -4, 8, 3],\n [3, 8, 1, 1, -4],\n [8, -10, -4, -4, 7],\n [-3, 1, 9, 1, -2],\n [-4, 2, 10, -7, 0],\n [6, 4, -10, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, 2, 1, 0],\n [-9, -7, -1, -4, 9],\n [3, 0, -8, 7, 3],\n [-2, -1, 9, 3, -6],\n [-1, 9, 2, 10, 9]]\nB =\n[[1, -8, -4, 0],\n [-1, 9, -5, 0],\n [-9, 7, 1, -7],\n [-7, 0, -1, 3],\n [1, -3, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 0, -1, -10, -8, -7],\n [-10, -10, 1, -4, -10, 0],\n [-1, 6, -8, -1, -3, -8],\n [9, 8, -3, 9, 5, 2],\n [-7, 9, 2, 10, -2, -10],\n [-8, -10, 8, -1, -5, 9]]\nB =\n[[-8, 10, 6, 10, -7, 1],\n [-8, -5, 0, -5, -6, -3],\n [-3, -2, 0, 5, -10, 2],\n [3, 4, 1, -6, -3, -6],\n [4, -9, 6, -7, 7, -4],\n [-1, -7, -6, 8, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, 5, -4],\n [-4, -7, -4, -6],\n [9, 0, -7, 4],\n [-10, 7, -5, 10],\n [2, 5, 0, 4]]\nB =\n[[9, -2, 0, 6, -9, 10],\n [-7, 10, -6, -4, 3, -6],\n [6, 8, -4, -4, 8, -5],\n [0, -1, 4, -3, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2231", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -9, 7, -10],\n [0, -2, 8, 7],\n [7, -10, -6, -8],\n [4, 10, 1, 7],\n [5, 1, -9, -8]]\nB =\n[[8, -6, -5, -10, 0, -4],\n [-5, 0, -1, -3, -3, -8],\n [7, 0, -3, -9, -2, 10],\n [-3, -8, -7, 7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 7, 1, -3, 9, -9],\n [4, -1, -5, 4, 7, 8],\n [5, -2, 4, -4, 7, 5],\n [10, -4, 6, 2, 7, -1]]\nB =\n[[0, 0, 4, 9],\n [-5, -5, -2, -2],\n [5, 3, -7, 0],\n [0, -3, 6, 8],\n [-3, -7, -1, -9],\n [9, 9, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 5, -9, 7, 10],\n [-2, 0, -7, -6, 8],\n [9, 4, -8, -9, 4],\n [7, -4, 6, 8, 8]]\nB =\n[[0, -8, 9, 7],\n [6, -2, -2, -1],\n [1, 0, 3, -10],\n [-4, -2, 8, 4],\n [-7, 5, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1161", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[9, -9, 3, 3, -9, -5],\n [10, 2, -4, 6, -2, 5],\n [10, -10, 7, 3, -2, -9],\n [7, 5, -6, 9, -2, 7]]\nB =\n[[1, 3, -5, 3],\n [-10, -2, -10, -8],\n [3, 7, -1, 1],\n [-6, 6, 3, -8],\n [1, 9, 3, 3],\n [6, -9, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 2, 9, 5],\n [-1, -3, -8, 8, -1],\n [6, -3, 7, -9, 8],\n [3, -2, -9, 8, -2]]\nB =\n[[1, -8, 6, -2, -4, 8],\n [-6, -8, 10, -5, 6, -2],\n [-4, -7, 3, -7, -7, 3],\n [-3, -10, -4, -10, 8, 2],\n [-10, 4, 10, -7, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -10, -2],\n [6, -9, 7, -8],\n [-9, -6, 5, 2],\n [6, -2, 10, -10],\n [0, -2, 6, 0]]\nB =\n[[5, -2, -6, -4],\n [6, 5, 10, -6],\n [6, 0, 3, 10],\n [9, -8, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -7, 4, 9, 5],\n [4, 3, 8, 8, 10],\n [-10, -10, 10, -10, -4],\n [4, -8, -4, 6, 10],\n [0, 3, -9, -2, 2],\n [-9, 1, 4, -10, 1]]\nB =\n[[-7, 10, 7, 6, 6, -5],\n [7, 0, -8, -4, -6, -7],\n [4, -4, 1, -9, -3, 2],\n [5, 10, 8, -10, 8, 1],\n [-4, 3, 9, 0, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3418", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 4, 6, -4, -9],\n [-4, 5, -10, 10, 2],\n [-10, -6, 2, 9, -8],\n [10, -10, 4, 7, -10],\n [-5, -6, -10, 7, 2],\n [3, 8, 10, 1, 5]]\nB =\n[[-5, -6, -7, 0, 5],\n [3, -2, 9, 6, 8],\n [-3, 8, 8, 0, 8],\n [-5, -4, -9, -8, -7],\n [-8, 8, -2, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1083", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-2, -1, 0, -5, 10, -9],\n [-7, -1, 6, 3, -10, -9],\n [5, -8, 5, -6, -1, -8],\n [-10, -4, -7, 4, 2, -8],\n [4, -8, 6, -1, -6, -2]]\nB =\n[[2, 9, -1, 6, -2, -10],\n [-8, -3, -7, -5, 10, -2],\n [6, 5, -9, -5, 6, 4],\n [6, -2, 5, -7, 5, -4],\n [-8, -4, -4, -3, 3, -6],\n [-6, 6, 4, -1, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -8, -3, 4, -5, -2],\n [-1, 7, -7, -2, 7, -7],\n [2, -8, 5, -5, 9, 8],\n [1, 7, 0, 1, 1, 5],\n [-1, -6, 5, -6, -2, -1]]\nB =\n[[-6, 0, -7, 0],\n [7, -10, 7, 2],\n [8, 7, -8, 2],\n [1, -3, -1, -2],\n [1, 3, 9, -10],\n [10, -9, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -5, -2, 4, 2, -8],\n [-2, 7, -9, -5, -10, -4],\n [3, 7, 2, 7, 4, -6],\n [0, -6, -8, -5, -9, 6]]\nB =\n[[-1, -10, 1, -6, 1, 4],\n [7, 1, 0, -8, -10, -5],\n [7, 0, 3, -9, -10, -10],\n [9, 4, -10, -9, 1, 8],\n [-1, 9, 9, 4, -2, -10],\n [6, 10, 9, 8, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2111", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-10, -7, -5, 10, -2, -10],\n [-7, -2, 2, 9, -10, -3],\n [-6, -3, -4, 8, 9, 2],\n [-1, -7, -9, -10, -4, 1],\n [4, -1, -5, -3, -2, 3],\n [-2, 1, 9, -4, -7, 6]]\nB =\n[[10, 0, 6, 5, -10, 9],\n [-7, 1, -10, -6, 8, 8],\n [-10, 0, -6, 10, 8, 1],\n [10, -6, 1, -6, 7, 4],\n [-5, 10, -9, -8, -4, -5],\n [0, 7, 2, -5, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[2, -10, 8, 10, 9, -9],\n [-4, 5, 3, 2, -5, -7],\n [-4, -1, -9, -10, 10, 10],\n [-6, 1, -4, 8, 2, -4],\n [0, -6, 4, 0, -1, 0],\n [6, -3, -7, -4, -6, -9]]\nB =\n[[-2, 3, 8, -7],\n [-10, -9, -10, 3],\n [-4, -3, -10, 0],\n [3, 0, 6, 5],\n [8, 4, -4, 4],\n [9, 5, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-2, 1, 8, -5],\n [7, -2, 5, 1],\n [-7, -10, 3, -4],\n [-6, -2, 3, -7],\n [2, 8, 5, 2],\n [1, -4, 7, -2]]\nB =\n[[-4, 0, 4, 5, -5],\n [-10, 0, 7, -6, 7],\n [9, -5, 9, 6, -10],\n [-5, 0, 1, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 5, 4, 1, 6],\n [-1, 8, 8, 4, -7],\n [-7, 7, -4, -3, 8],\n [0, -7, 8, 7, 6]]\nB =\n[[5, -4, -2, -10, 5, 1],\n [-3, -8, 9, -1, 4, -2],\n [10, -3, 10, 6, 1, 7],\n [4, 1, 8, 6, 10, -8],\n [9, 6, -6, -6, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, 6, -1, -7],\n [-1, 9, 8, 4, -3],\n [10, -9, -2, -7, 7],\n [7, -6, -2, -9, 3],\n [6, 1, -9, 2, 7],\n [-10, 5, -8, -8, -9]]\nB =\n[[3, 5, 1, 2, -7, -10],\n [-4, -6, -10, 5, 9, -4],\n [1, 5, -3, -5, 7, -9],\n [-8, 7, -3, -4, -4, 7],\n [2, -1, 3, 5, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2301", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 4, 3, 8, 10],\n [0, 8, 7, -9, -8],\n [-1, -6, 0, -4, -5],\n [-4, 10, -5, -1, 0],\n [1, 0, 5, 5, -1],\n [-4, -7, -4, -4, 4]]\nB =\n[[2, -4, 5, 10],\n [-7, -1, 1, -2],\n [-8, 4, -8, 4],\n [-6, 7, 6, -3],\n [2, -2, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -5, -7, -5, -9],\n [-2, -7, 9, -7, 0, 10],\n [-2, 8, 2, -9, 8, 10],\n [7, -4, -3, -10, -4, -2],\n [-7, -5, 3, -6, 1, 2]]\nB =\n[[-5, -5, -6, -2],\n [7, 3, 5, 8],\n [0, 6, 1, -4],\n [9, 6, -4, -10],\n [-9, 10, 4, 8],\n [-4, -1, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 4, 1, -5, 4],\n [7, -10, -1, 4, 10],\n [-5, 10, 2, -5, -8],\n [-2, -8, 5, -3, 2],\n [4, 10, 9, 5, -4]]\nB =\n[[3, 5, 4, 5, -3],\n [-5, 3, -5, 10, 10],\n [4, -4, 7, -9, 6],\n [-4, -8, -7, -8, 6],\n [-8, -10, -3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1442", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, -8, -1, -10, -3, -9],\n [-5, 9, 10, -10, 1, 4],\n [-8, -4, -3, -9, -4, 0],\n [9, 0, 4, 5, -4, -3],\n [-9, 7, 3, -2, -7, -2],\n [1, -2, 5, -8, -1, 10]]\nB =\n[[-10, 3, -5, 6, 4, 7],\n [8, -8, 9, 6, 3, 1],\n [1, 4, -9, -1, 3, -6],\n [-2, 7, -2, 3, -1, 4],\n [6, 7, 2, 2, 7, 3],\n [5, 2, 8, 9, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-5, -3, 10, 10, -9],\n [2, -1, -6, 1, -9],\n [6, 1, 1, 0, 8],\n [-2, -9, -1, -10, -4],\n [-3, 9, 4, -5, -2],\n [8, 1, -7, -9, 8]]\nB =\n[[-4, 2, -3, -7],\n [4, -3, -2, 1],\n [7, 5, 7, 5],\n [9, 7, -4, 9],\n [-3, -9, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[9, 6, 2, -10],\n [-2, -8, 9, 5],\n [2, 9, -9, 1],\n [9, 7, 7, 8],\n [7, 7, 0, 0]]\nB =\n[[-2, 8, 1, 7, 1],\n [8, 9, 5, -8, -9],\n [3, 3, 0, -9, -9],\n [8, -5, -2, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-1, 9, 2, 2],\n [-2, 4, 4, -8],\n [4, -6, -5, 1],\n [0, 8, 6, -6],\n [-9, 2, -4, -6]]\nB =\n[[8, 10, -9, 9, 4],\n [-1, -9, -5, 7, -2],\n [-8, -7, -10, 9, 0],\n [5, 7, -4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-6, 7, 1, 1, 2, -3],\n [-3, 0, -4, -3, -7, -8],\n [1, -4, -1, 4, 7, 8],\n [-5, -5, 8, 3, 7, 3],\n [-6, 0, -4, 5, 7, 6],\n [7, 7, 8, -3, -5, -1]]\nB =\n[[3, -5, -6, -10],\n [10, 7, -1, -3],\n [-8, -2, 2, -7],\n [1, -8, 3, 3],\n [-8, -10, -2, 5],\n [0, -9, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 10, -4, 1],\n [-10, 1, 7, 3],\n [10, 7, 7, 9],\n [2, 4, 0, 5],\n [-9, -8, 7, -7],\n [8, 7, 3, -6]]\nB =\n[[6, 7, -9, 9, -5],\n [9, -2, 0, -2, 9],\n [-1, 9, 0, -7, -8],\n [3, -7, 0, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -1, 8, 7, 2, -1],\n [-10, -3, 4, 1, 3, -1],\n [2, 10, -9, -5, 8, -2],\n [8, 6, -8, -7, 1, 0],\n [7, -6, -9, 3, 4, -5],\n [4, -5, -4, 3, -3, 4]]\nB =\n[[1, 8, 4, 9, -2, -5],\n [8, -8, 3, -7, -7, -6],\n [-4, 0, 3, 2, 7, 9],\n [-10, -7, 4, -5, -7, -1],\n [8, 3, 5, -3, 5, -1],\n [2, 1, 5, -7, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2352", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-6, 6, 10, 4],\n [-6, 2, 0, -2],\n [-1, 10, -7, 6],\n [3, -9, -1, -6],\n [1, -7, -10, 7]]\nB =\n[[-9, -4, 8, 3, 3, 2],\n [0, 3, 3, 6, 10, 10],\n [2, -10, 9, -2, -9, 0],\n [9, -1, -4, 2, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -5, 6, 6],\n [3, -4, 8, 5, 3],\n [-6, 5, -5, 7, 2],\n [1, 7, -10, -10, 4]]\nB =\n[[-8, -9, 6, -9, -7, -1],\n [10, -1, 4, -10, 3, 4],\n [-4, -10, -4, 9, 10, 4],\n [6, 10, 2, 3, -2, -2],\n [9, -9, 1, 5, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -3, -8, 2, -1],\n [3, 6, -7, 2, -10],\n [-6, -8, 1, -1, -10],\n [-1, 1, 8, 0, 6],\n [9, -6, 7, -9, -4],\n [9, -5, 3, -3, 10]]\nB =\n[[0, -10, 1, 3],\n [2, 6, -4, 1],\n [-9, 1, 3, -7],\n [8, -7, 7, -4],\n [-7, 5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1391", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, 1, -3, 4, 4],\n [-10, -7, -2, 6, 6, -7],\n [-3, 7, -8, 4, -6, 10],\n [5, 6, -3, 6, -6, 5],\n [8, 5, -6, 4, -9, 2]]\nB =\n[[8, -8, 3, -3, 0],\n [-9, 9, -5, -5, 8],\n [2, 0, 10, 6, 3],\n [0, -8, 8, 4, 3],\n [-2, -1, -8, -5, -3],\n [-6, -10, -3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-4, 6, -2, -4, 9],\n [1, 4, 5, 10, 0],\n [8, -5, -1, -1, -5],\n [-2, 8, 7, -8, 1],\n [-8, -6, 3, 0, -1]]\nB =\n[[-4, -9, -2, 3],\n [2, -5, -10, 5],\n [3, 0, -10, 0],\n [-8, 4, 3, -1],\n [4, 4, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, -4, -5, 7, -3],\n [-3, 10, 1, 5, -8, 7],\n [1, -9, 10, -3, -7, -6],\n [-4, 9, -8, -7, -9, 4],\n [-10, -8, -1, -8, -10, 6]]\nB =\n[[8, -7, 7, -3],\n [9, 9, 8, 9],\n [9, 9, 6, -2],\n [-1, 1, 3, -8],\n [6, -9, 6, -10],\n [-9, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-6, -2, 2, 0, -10, 6],\n [3, 1, -9, -4, -10, -2],\n [-2, 2, 8, 7, 5, -7],\n [-8, 6, 9, 2, 9, 1]]\nB =\n[[7, 0, 0, 0, 2, -9],\n [4, 5, -10, -8, 8, -1],\n [-9, 7, -6, 10, 9, -10],\n [-8, -2, -6, -2, -1, -2],\n [-5, 6, 6, 7, -10, -1],\n [4, -6, 5, -5, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[0, 4, 5, -6],\n [10, -10, 9, 0],\n [-4, 0, 2, 9],\n [10, -8, -1, -2],\n [3, -8, 9, 1]]\nB =\n[[7, 3, 7, -9, -10, 3],\n [-6, 9, -7, 3, -10, -6],\n [-4, -5, -6, -4, -3, -5],\n [-7, -8, 2, 7, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -8, -2, -1],\n [4, 5, 3, -3],\n [-9, 4, -4, -7],\n [1, 6, -10, -10],\n [3, 3, -7, -4]]\nB =\n[[-3, -9, 5, 3, -5],\n [-10, 8, 6, -9, 6],\n [5, -2, -4, -1, -5],\n [-7, -4, 10, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 4, -9, 5, -5],\n [8, -3, -2, -3, -9, -3],\n [0, 8, 3, -1, 0, 8],\n [-7, 2, 2, 3, 2, -6]]\nB =\n[[2, 9, -3, 6, 6],\n [4, -3, -5, 9, -7],\n [-7, 7, 3, -6, -6],\n [-9, -7, -3, 8, 0],\n [-2, 8, 9, 10, 5],\n [6, -4, -8, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1255", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 10, -1, -7, -4],\n [-1, -2, 2, -2, -7],\n [-9, 4, 1, 3, -3],\n [0, 1, 7, -10, -1]]\nB =\n[[5, 0, -4, 10, -1, -9],\n [-9, -2, -1, 8, -8, 0],\n [-4, 3, -5, -6, -3, -8],\n [3, -2, -4, -9, 9, -5],\n [0, 5, -3, -3, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 1, 5],\n [-3, -4, 4, -8],\n [2, 2, 5, -6],\n [-9, 3, 10, -5],\n [-3, -2, -1, -5]]\nB =\n[[-6, -1, 0, -7, -10, 5],\n [5, -6, -8, 8, 4, 8],\n [-5, -3, 9, 2, 10, 8],\n [8, 6, -3, -6, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1506", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 5, -8, 1, 0, -4],\n [-7, -3, -9, -10, -9, -2],\n [-1, 0, 0, 10, 3, -9],\n [1, 7, 3, -7, -1, -1],\n [6, -9, 0, -6, 0, 10],\n [-5, -2, 6, 1, -3, 5]]\nB =\n[[1, 3, 8, 5],\n [-4, 4, -8, 0],\n [-9, -5, -6, -10],\n [6, 6, -10, 6],\n [-1, 0, 7, 9],\n [-10, -2, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2071", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, 8, 8, -9],\n [6, -4, -1, -9, -6],\n [-10, -4, 6, -4, -9],\n [8, -1, -10, 4, 2],\n [-7, -8, 4, -7, -4],\n [-2, -10, -10, -4, -9]]\nB =\n[[-6, 2, -3, 0],\n [-3, -3, -8, 0],\n [9, -7, 0, 2],\n [3, 8, -10, -1],\n [4, 5, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1918", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, 4, -4, 4],\n [-10, -8, 9, -3],\n [9, -6, 4, -1],\n [-6, -2, -7, -4]]\nB =\n[[3, 2, 5, 5],\n [-5, 9, -3, -1],\n [-1, -5, -4, 6],\n [8, -9, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -3, -8, -3, 6, -7],\n [10, -2, 4, -9, 5, 5],\n [5, -10, -9, 7, 0, 7],\n [5, -9, 8, -4, 9, -9],\n [1, 3, -1, -10, 2, -8],\n [9, 3, 7, -7, -5, -6]]\nB =\n[[9, -5, 1, 6, -1, 3],\n [-8, 0, 3, -8, -7, 0],\n [-2, 6, 9, -4, 7, -10],\n [-2, -4, 7, 8, -6, -5],\n [-5, 8, -10, 9, -10, 7],\n [1, 4, -7, 3, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 1, -9, 5, 5, 0],\n [2, 10, 8, -4, -8, -10],\n [8, -2, -7, -10, -10, 0],\n [-1, -5, -8, 4, -5, 2],\n [8, -2, 2, -7, -9, -5],\n [-4, 6, 9, -10, -10, 0]]\nB =\n[[8, -5, -2, 1],\n [-8, 1, 7, 5],\n [-3, -10, -1, -10],\n [-7, 8, -4, 9],\n [-5, -3, -5, -9],\n [-7, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -6, -10],\n [5, -6, -4, 9],\n [-7, -2, -6, 2],\n [-10, -8, -6, -6]]\nB =\n[[8, -6, -1, 2, -6],\n [6, -7, 5, -6, -4],\n [-1, -10, 6, 1, -5],\n [7, 8, -5, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, -2, -1],\n [-1, -1, 0, -7],\n [-4, 4, 0, -3],\n [4, -5, 8, -2]]\nB =\n[[9, -8, -9, 6, 8],\n [-1, -10, 7, -5, 1],\n [3, 6, 10, 1, 9],\n [7, -3, 10, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1087", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, 0, -10, -2],\n [-1, -6, 1, -6, 8],\n [-4, -8, -1, -8, 8],\n [-6, -6, 4, -5, 5],\n [-5, 0, 8, -5, -1],\n [-9, 5, -4, 4, 10]]\nB =\n[[2, 2, 9, 9, -9],\n [5, -6, 8, 7, 6],\n [3, 8, -9, 4, 6],\n [5, 1, -10, -9, -2],\n [5, 1, 7, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-2, 1, 3, -10, 1],\n [4, 0, -2, 10, -1],\n [8, 10, 6, -8, -8],\n [1, -6, -5, -5, 6]]\nB =\n[[10, -8, -3, 9, 3],\n [-5, 9, -6, -1, -8],\n [-9, -9, -1, -3, -4],\n [-4, -3, -8, -5, 4],\n [7, 10, -9, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[0, -2, -9, 8],\n [7, -4, 7, 5],\n [9, 2, -10, 3],\n [1, 4, 2, -8],\n [4, 7, 9, 5]]\nB =\n[[-2, -6, -3, 0, -4],\n [-9, -9, 2, 3, 5],\n [1, 7, 4, 10, -2],\n [-1, 0, 5, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-8, -6, -9, -1],\n [7, -5, -8, 1],\n [0, 5, -6, -10],\n [8, -3, 1, -3],\n [3, 3, 7, 8],\n [-2, 6, -7, 9]]\nB =\n[[-8, -5, 0, 1, -3, -10],\n [6, 5, -7, 0, -2, 5],\n [6, -1, -7, 7, 7, 10],\n [3, -4, -6, -2, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-3, -9, -8, -8],\n [-10, 6, 6, 7],\n [6, 1, 7, -6],\n [1, -4, 2, 8],\n [-1, 4, 3, -9],\n [-6, -1, -9, 4]]\nB =\n[[-10, 6, 1, -2, 3, 10],\n [-2, 6, 10, 9, 2, 0],\n [-1, 9, -3, -8, 7, -1],\n [10, 5, 0, -7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-9, -1, 6, 6, 4],\n [9, -8, -2, -4, 4],\n [3, 10, 1, -3, -10],\n [10, 2, 6, -1, -6],\n [4, -4, -9, 6, 7],\n [-3, -10, -6, 6, 2]]\nB =\n[[5, -10, 2, -8],\n [8, 4, 1, 9],\n [-1, 4, 0, -5],\n [8, 10, 2, 1],\n [9, 5, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 7, 0, 0, 6, 0],\n [-4, 1, 5, 7, 1, -6],\n [-9, 7, 8, 3, -10, 1],\n [2, -1, 9, -10, -9, -1],\n [8, 10, -6, -1, 0, 3],\n [-10, -4, -3, 4, 5, 9]]\nB =\n[[-10, -10, -7, 9, 4],\n [6, -2, -1, -3, 1],\n [-1, 6, -4, 9, 8],\n [10, 6, -6, 8, -9],\n [1, 9, -4, 5, -3],\n [0, 5, 10, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -2, -2, 1, -1],\n [7, 0, 3, 5, 0],\n [2, 1, -6, -9, 4],\n [0, -7, -10, 6, -4],\n [-4, -8, -5, -9, 6]]\nB =\n[[-3, 8, -6, 2, 8, 2],\n [8, 1, -10, -4, -10, -10],\n [-5, -9, 1, 0, 4, 10],\n [-1, 6, 3, 8, -5, 0],\n [9, 7, 8, 10, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "577", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -1, -7, -4],\n [-7, -5, 8, -5],\n [6, -10, 1, 3],\n [2, -2, -8, 3],\n [10, -2, 3, 6]]\nB =\n[[-6, 6, -2, 6, 0],\n [10, -2, 0, 7, 2],\n [-5, 1, 4, -10, -9],\n [-7, 7, -9, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, 7, 8, -4],\n [3, -4, 2, 3, -1],\n [-7, 9, 8, 7, 4],\n [0, 5, 7, -3, -9],\n [4, 10, 3, -5, -8],\n [-9, -5, -5, -4, -8]]\nB =\n[[10, 7, -1, -10],\n [-8, -7, -4, 10],\n [-7, 4, -9, 3],\n [-9, 1, -2, 6],\n [8, 1, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-554", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-2, -5, 9, 8, 7],\n [-10, 2, 4, -5, -4],\n [6, 8, 1, 1, -8],\n [4, 0, -5, 5, -3],\n [-6, 5, -10, 1, 1],\n [-1, -7, -3, 10, 0]]\nB =\n[[-2, 4, -9, 10, 3],\n [2, 2, 7, 3, -1],\n [0, 9, -7, 7, -1],\n [7, -5, 10, 5, -3],\n [7, -1, 5, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -9, 9, 2, 0],\n [-6, 10, 2, 2, 6],\n [3, -8, -6, 0, -7],\n [-7, 7, 1, 9, 2]]\nB =\n[[3, 5, -6, -10],\n [7, 4, -10, 8],\n [8, -2, 1, -6],\n [-1, -7, 4, -4],\n [7, -10, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 2, 10, -9, 3],\n [1, 5, 3, -10, 0],\n [-2, 7, 5, 10, -5],\n [4, -1, 9, -1, 8],\n [-1, 0, 8, -10, 4],\n [0, -5, 2, -5, -2]]\nB =\n[[9, -3, -9, -5],\n [4, 7, 2, -9],\n [-3, 3, 10, -9],\n [-5, -8, -9, 6],\n [-5, 3, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 8, -10, 7],\n [-7, 8, 0, -10, -2],\n [-4, 10, 8, 4, -8],\n [0, -10, -10, 7, 2],\n [-5, 10, -6, -3, -5]]\nB =\n[[3, 7, -8, 7, 0],\n [4, 0, -2, 1, 7],\n [9, -10, 8, 6, 0],\n [9, 1, 2, 5, -10],\n [-2, 6, -6, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 2, -8, 4, 6],\n [7, 0, -2, 6, 4],\n [10, -7, 6, -1, -6],\n [-10, 4, 8, 6, -6],\n [-3, -6, 8, -6, 0],\n [1, -4, -5, -2, -3]]\nB =\n[[0, 7, 10, -2],\n [2, -7, 0, 2],\n [-6, 4, 0, 6],\n [10, -5, 1, 10],\n [-6, -10, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -10, 9, -5],\n [5, 6, -10, -4],\n [9, -8, 7, -7],\n [2, 1, -6, -4]]\nB =\n[[-6, 7, -7, 1],\n [6, -6, -4, 1],\n [2, -3, 2, 2],\n [8, 4, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 6, -7, -1, -6],\n [-5, 4, -6, -8, 2],\n [0, -6, -6, -2, 5],\n [4, -8, 1, 10, 1],\n [-2, 6, 8, -9, 1],\n [-9, 8, -10, 3, -6]]\nB =\n[[4, 7, 10, -1],\n [-7, 5, -3, -8],\n [-2, 3, 8, -6],\n [-7, 0, 2, -3],\n [9, 9, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-644", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 3, -7, 4, 2],\n [7, -5, 0, 10, -9],\n [1, -5, -7, 6, -6],\n [-8, 9, -1, -5, 3],\n [7, 2, 6, 2, -1]]\nB =\n[[9, 6, -10, 4],\n [10, 2, 1, 7],\n [7, -5, 4, -1],\n [-7, -8, 9, 0],\n [-2, -9, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, -3, 10, 2, -1],\n [5, 0, -6, 8, -6, 2],\n [1, 1, -1, 3, 1, -8],\n [9, -1, -5, -9, -1, -10],\n [4, 7, 6, 1, -8, 9],\n [-6, 9, -8, 10, -9, -8]]\nB =\n[[6, 9, 8, -5, -7],\n [-3, -10, 2, 6, 0],\n [-1, -1, -1, 0, 4],\n [-6, -7, 2, -4, 4],\n [-2, 9, -1, 10, -6],\n [2, 10, -10, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2262", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-6, 1, 3, -4],\n [-8, 4, -7, 4],\n [-8, 9, 3, -3],\n [-9, -1, -3, 5],\n [-3, -7, 10, -2]]\nB =\n[[7, 7, -8, -6],\n [5, -1, 1, 3],\n [3, -9, -3, -7],\n [4, -3, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -2, 3, 1, -10, 4],\n [2, -3, 0, 4, 8, 1],\n [-2, -8, 0, 7, 4, 8],\n [-9, -10, 1, -8, -7, -4],\n [-6, 2, 0, 1, 3, -5]]\nB =\n[[9, -7, -2, -5],\n [-8, 5, 2, 6],\n [1, -1, -2, -3],\n [6, 9, 6, 10],\n [6, 3, -3, -8],\n [8, -1, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -4, 8, 4, 4],\n [-6, 0, 10, 3, 3],\n [9, -10, -2, 9, -10],\n [7, 8, 1, 4, 6],\n [2, 9, 0, 9, 2]]\nB =\n[[-8, -3, 2, -9, 2, 6],\n [-9, -8, 3, -3, -5, -1],\n [6, -4, 6, 8, 8, 7],\n [-5, 3, -1, -8, 4, 9],\n [-5, -7, 9, -10, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2483", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[1, -6, -4, 0],\n [-3, 7, 2, -3],\n [-2, -3, 8, -5],\n [8, -3, 10, -1],\n [5, -2, -4, 3]]\nB =\n[[5, -8, 1, -3],\n [4, -1, -2, -2],\n [0, -9, 7, -10],\n [-3, 2, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -1, 10, -5, 4, 3],\n [7, 7, -4, -1, -10, -10],\n [3, -4, 7, 1, 0, -10],\n [-10, 0, -5, -3, 3, 3]]\nB =\n[[-5, 7, -5, 0],\n [9, 2, -1, 2],\n [-5, 4, -7, 4],\n [-1, -5, -7, 3],\n [5, 7, 3, 5],\n [-6, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-6, -6, -6, 7, -5, 9],\n [-1, 5, -2, 3, 5, 1],\n [5, 0, 2, -6, 6, 4],\n [-4, 10, -10, -9, 1, 3],\n [-4, 10, -8, -3, 0, -3],\n [-5, 10, -7, -1, 4, -3]]\nB =\n[[5, 3, -6, -9, -4],\n [5, -4, -2, 2, 9],\n [-9, -7, -3, 0, 1],\n [1, 5, 8, 9, -1],\n [-2, 4, -6, 7, 1],\n [3, -7, -7, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -1, 4, 5, 2, -9],\n [-8, 1, -2, -2, 9, -10],\n [7, 10, -7, 3, 0, 6],\n [-8, 7, 4, -6, 0, 5]]\nB =\n[[-1, 3, 10, -8, 8],\n [-5, -5, 0, -5, 6],\n [6, -6, 7, 7, -9],\n [9, 9, -3, 6, 8],\n [-1, 0, 1, 10, 8],\n [2, -5, 9, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1762", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 3, -7, 7],\n [3, -2, 0, -3],\n [-5, 4, 9, -10],\n [3, 1, -4, 1],\n [5, -4, -5, -10],\n [-5, 0, -9, -9]]\nB =\n[[-2, 0, 8, -2, 8, 2],\n [10, 5, 2, 8, 4, -2],\n [4, -9, 7, -5, 3, 3],\n [-5, 5, 7, -10, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, 3, -5, -2, 0],\n [5, -2, 8, -7, -9, 6],\n [4, 0, -3, -2, 0, -2],\n [-1, -1, -1, 9, -3, -4],\n [-4, -3, -6, 0, 9, 3]]\nB =\n[[1, 6, -4, 4, 9, -7],\n [1, 4, 8, -8, -4, -3],\n [6, -10, 9, -2, 2, -6],\n [2, -10, 4, 0, -6, -3],\n [7, 1, 2, 7, -2, -6],\n [-9, 7, 1, -8, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, -2, -10, -3, 4],\n [3, 1, -6, 9, -8, -10],\n [-9, 2, 10, 2, 1, 8],\n [7, 6, -2, 5, 9, -9],\n [2, 2, -8, 1, 0, -1],\n [-5, 3, -8, 1, -2, -5]]\nB =\n[[9, -1, 9, -2, 7, 1],\n [9, 3, 7, -4, 8, -4],\n [-3, -7, 9, 0, 1, 6],\n [-10, 5, -5, 10, 2, -1],\n [-3, 8, -2, -1, 10, -5],\n [-4, 4, -4, -4, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 0, 0, 1, -8],\n [-8, -4, 7, 0, -4],\n [-7, 0, 7, 0, 2],\n [9, 9, 3, 9, 9]]\nB =\n[[9, 3, 10, 9],\n [9, 10, 0, -7],\n [-9, 3, 3, 2],\n [-4, 0, 2, 2],\n [6, 5, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 4, 0, -4, 6],\n [10, 5, 6, 2, -9],\n [-2, -3, 9, 8, -10],\n [-3, -2, -8, 3, -9],\n [10, -6, -7, -10, 8],\n [-9, 6, -6, -3, 1]]\nB =\n[[6, 1, -4, 0, -7],\n [-9, -3, -7, 3, 10],\n [-1, -7, 1, -9, 5],\n [-1, 2, 0, 2, -9],\n [9, -8, -8, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, -5, 6, 2],\n [-1, 8, -3, 9, 5],\n [-2, -9, 9, 3, 7],\n [8, 10, -2, -7, -5]]\nB =\n[[-10, -5, -7, 10, 9],\n [0, 5, 8, -9, -10],\n [6, 6, -4, -4, 1],\n [-3, 2, 3, -2, 0],\n [-2, 8, 9, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -3, -6],\n [-10, -5, 0, 2],\n [7, -8, 1, 3],\n [9, -10, -1, 0],\n [-5, 3, -10, -1],\n [-1, 6, 5, 5]]\nB =\n[[5, -10, -7, 5, -10, -7],\n [-9, 7, 2, -8, -6, -9],\n [6, -2, -8, 9, -6, 9],\n [-4, -10, -6, -5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -4, 7, -7, -4, 6],\n [7, 8, 8, 6, -2, -8],\n [-4, -8, 4, 10, 9, 10],\n [-9, -5, 9, -10, 7, 4],\n [3, -6, 2, 10, 9, 4],\n [-1, -10, -9, -6, -3, -7]]\nB =\n[[-5, 9, 1, 6, 3, 5],\n [7, -1, -9, 8, 8, -5],\n [-10, 2, -4, 2, 8, -2],\n [-6, 0, -7, -10, 8, 0],\n [9, -6, -10, 0, -9, -4],\n [5, -7, -7, -1, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -9, 5],\n [-1, -6, 8, 2],\n [-10, 7, 10, -4],\n [-4, -10, -9, 0]]\nB =\n[[7, 6, 2, 6, 9, 6],\n [3, -1, 3, -1, -7, 10],\n [-8, -5, 5, -7, 4, 7],\n [1, 10, -5, 10, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 9, 3, -4, 3],\n [0, 10, -9, -1, -9],\n [0, 1, -2, 8, 7],\n [-7, -8, 0, 4, -5],\n [1, 5, 4, -4, -2]]\nB =\n[[-1, 0, 7, 3, 9, 1],\n [1, -6, -7, -10, -3, -9],\n [6, 0, -8, 10, -10, 3],\n [-8, 4, 5, 5, -8, 5],\n [-6, 0, -6, 9, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-601", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 9, -6, 1],\n [4, -2, 1, -8],\n [9, 9, 4, 10],\n [5, 0, 10, 3]]\nB =\n[[3, -1, -9, 7],\n [1, -1, 1, -2],\n [-3, -5, 1, -2],\n [-3, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -10, 10, 9, 1, -1],\n [4, -6, -1, 3, -6, 2],\n [-8, 2, 2, -10, 9, 7],\n [8, -2, 4, -4, -6, -5],\n [10, 4, -3, 10, 5, 3],\n [-1, 4, 3, -6, 7, -2]]\nB =\n[[0, -6, -10, -4, 0, -1],\n [-3, -1, -2, 7, -2, -8],\n [-10, -7, 6, 6, 0, -9],\n [6, 2, 9, 5, 0, 7],\n [-9, 2, -10, 6, 0, -3],\n [-9, -7, 9, 9, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2355", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 4, -7, 0, 1],\n [-8, 10, -10, 4, 1],\n [-2, -5, 2, 0, 0],\n [8, -6, 10, -6, -2],\n [-10, -8, -9, -8, 0],\n [-6, 5, 0, -3, 5]]\nB =\n[[8, 1, -1, -8, 2],\n [7, -3, 0, 7, -1],\n [1, -4, -3, -1, 5],\n [1, 1, -5, 2, -4],\n [7, -7, -6, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 2, 8, -2, -1, 8],\n [2, 9, 3, -7, 3, 0],\n [-5, 0, -8, 0, -4, 3],\n [-8, -2, 0, 1, 5, -3],\n [-5, 6, 7, 6, -8, -6]]\nB =\n[[10, 10, -6, 9],\n [7, 1, -3, 1],\n [-1, 7, -10, -5],\n [-8, -2, 10, 7],\n [2, 3, -3, -9],\n [-6, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 4, 5, 10, 0],\n [-9, 8, -9, -8, 1],\n [2, -6, 1, -8, -1],\n [-2, 1, -6, 5, 2],\n [8, -8, 0, 5, 2]]\nB =\n[[3, 3, -8, -7],\n [4, 10, 10, -5],\n [-2, 3, 1, 4],\n [-3, 0, -1, 0],\n [1, 3, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -10, 5, -7, -10],\n [-4, 6, -7, -8, 8],\n [0, 10, -6, -6, -5],\n [2, -9, 9, 2, -7],\n [-3, 1, 8, -6, -8]]\nB =\n[[-3, 3, -7, -1, -10, -6],\n [0, -2, 9, -3, 0, -2],\n [2, -5, 0, -6, -2, -2],\n [-4, -10, 2, 8, -10, -7],\n [-2, -6, -4, 1, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[3, -4, -4, -10],\n [7, 1, 10, 1],\n [10, -7, 8, 6],\n [5, 3, -8, 6],\n [-8, -6, 5, -8]]\nB =\n[[3, 2, -10, -8],\n [6, -8, -4, -10],\n [1, -8, 4, 10],\n [-6, 7, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -5, -1, 4, 1],\n [-5, 10, 7, 4, -5, -3],\n [1, 6, 5, -4, 3, -7],\n [-3, -3, -5, 6, 7, 7]]\nB =\n[[-6, -2, 9, 8, -10, -5],\n [9, -8, -2, 5, 7, 10],\n [-5, -8, 0, 2, -2, 6],\n [2, 0, -10, 8, -4, 4],\n [8, 3, -7, 5, -4, -2],\n [7, -8, -7, -9, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1761", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -2, 1],\n [-1, 2, 3, 4],\n [-9, 5, -1, -7],\n [6, 10, -8, 1]]\nB =\n[[5, 8, 1, -5, -5],\n [-8, 4, 0, -7, 3],\n [2, -10, 8, 5, -5],\n [4, 3, 6, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 8, 10, 7, 1, -7],\n [3, 2, 5, 1, -2, -4],\n [-5, -7, -4, 6, 9, -10],\n [-10, -9, -9, 6, 1, 7]]\nB =\n[[0, -6, -2, -6, 2, -3],\n [0, 1, 8, -9, 10, 2],\n [4, -8, -8, -7, -3, 8],\n [8, 5, 5, -2, -8, -2],\n [-9, -10, 6, -10, 1, 4],\n [-6, -1, -6, 8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[1, 2, 9, -10, -8, -8],\n [-5, 8, -7, -6, 4, -10],\n [-8, 10, 9, -2, 2, 6],\n [10, 4, -1, 6, 8, 6],\n [2, 10, 0, -10, 0, 1],\n [8, 2, 1, 8, -9, 5]]\nB =\n[[-1, -9, -6, -10],\n [-10, -6, -2, 8],\n [8, -5, 10, -6],\n [-8, 1, 6, 0],\n [-3, -8, 10, 10],\n [10, 3, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[3, 1, 1, -1, 9, -4],\n [-6, -8, -7, -10, -9, 5],\n [6, -10, -6, 2, 5, 2],\n [3, 4, -2, -5, 6, -3],\n [5, 4, -5, 10, -8, -10]]\nB =\n[[-2, 9, 8, -3, 9, 4],\n [-6, -10, 6, 7, 3, 8],\n [2, -6, 6, 2, -8, 4],\n [-9, -1, -4, -1, 0, -8],\n [6, 1, 5, -7, 8, 7],\n [0, 1, -9, -9, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-5, -6, -4, 10, 4],\n [4, 3, -7, 4, 7],\n [-2, 3, 5, -7, 0],\n [5, -2, 0, -2, -1],\n [3, 4, -2, 10, -5],\n [3, -3, 4, -9, 1]]\nB =\n[[6, -6, -8, -1, -9, -7],\n [-1, 7, -4, 5, -1, 10],\n [-1, -1, -6, 1, -7, 9],\n [-8, 0, 2, 1, 2, -4],\n [10, -4, -1, 5, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 8, -8, 8, 6],\n [0, -9, -3, 5, -1, -2],\n [10, 4, 10, 9, 0, 6],\n [3, -4, -10, -4, -2, -3],\n [-9, 0, -1, -5, -9, 0]]\nB =\n[[-8, -9, -9, 8, 9],\n [4, -1, 9, -10, 2],\n [7, -4, -10, 7, -5],\n [-4, 0, -10, -8, 2],\n [2, -3, -5, -6, -8],\n [-5, -10, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 2, -2, -1, -8, 10],\n [10, 0, -8, 4, -5, 3],\n [0, -7, -9, 8, -2, 6],\n [-7, -7, 6, 0, 10, -1]]\nB =\n[[-6, -8, -1, 9, -7],\n [6, 5, -7, -3, -7],\n [7, 1, -6, -7, -5],\n [-6, 9, -5, -9, 10],\n [-4, -5, -3, 0, 8],\n [3, -7, -6, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -3, -9, 3, -6, -4],\n [-4, 8, 10, 6, 4, 2],\n [-3, 4, 1, 0, -7, -8],\n [2, -6, -9, -2, -6, 1],\n [10, 6, -9, 7, -1, 0]]\nB =\n[[-6, -8, 0, 3, 5, 8],\n [-2, 9, -10, 8, -1, -5],\n [-6, 3, -8, -8, -7, -2],\n [-7, 4, -6, -4, -7, 10],\n [4, -4, -8, 3, -4, -7],\n [8, -4, 6, -8, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2641", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[0, -2, -10, 9, -9],\n [-9, 8, 2, 6, 3],\n [5, 9, -3, 0, 2],\n [1, 4, -3, 4, 7],\n [3, -9, 8, -9, 3],\n [4, 2, -3, -10, 6]]\nB =\n[[7, -1, -9, -8, -7, 4],\n [-9, -2, 5, -5, -9, 2],\n [-4, -4, -1, -2, 9, -8],\n [-6, -3, 3, -7, 2, -1],\n [-4, 10, -2, -6, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -10, -6, -2, 2],\n [-4, 7, -9, 0, -6],\n [-10, 4, -6, -8, 4],\n [8, 4, -10, -6, -3]]\nB =\n[[-9, 4, 3, 9, 3],\n [-8, -4, 6, 1, -10],\n [6, -3, 7, -7, -8],\n [10, 0, 7, 1, 10],\n [-2, 5, -10, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1385", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 8, -1, -9, 2, 6],\n [1, -3, 2, 9, 3, -5],\n [-3, 6, 6, -1, -6, 9],\n [-2, 10, -2, 1, -6, 3],\n [-1, 5, 10, 6, 10, 7]]\nB =\n[[6, 8, 1, -1, 1, 10],\n [-1, 8, 7, -7, 3, -2],\n [-2, 2, 8, 10, -2, -7],\n [-3, 9, 3, -5, -6, 3],\n [10, -9, 5, -3, 4, -3],\n [9, 10, 5, -1, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -10, -9, -6, -8, 0],\n [9, -10, 3, 7, -1, -5],\n [4, 7, 0, 9, -7, -7],\n [-7, -7, -8, 4, 5, -1],\n [-8, 9, 2, 2, 5, 1],\n [7, 9, 8, -4, 7, 8]]\nB =\n[[-3, -1, 10, 4, -7, -10],\n [1, 6, 9, 10, -8, -6],\n [-2, 10, -3, -10, -7, 1],\n [9, -2, 7, 10, -2, -1],\n [1, -1, -10, 6, 9, -10],\n [-6, -1, -2, -10, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, -8, -8],\n [3, -7, 3, -9],\n [0, -1, 2, 10],\n [-3, 4, 4, -9],\n [2, 3, 2, 0],\n [4, 9, 0, -7]]\nB =\n[[-7, 0, -1, -1, 0],\n [8, -2, -6, -3, -2],\n [-7, -3, 4, 1, -8],\n [7, 2, -8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[8, 2, 7, 10, -4, -5],\n [9, -7, -1, -7, -1, -3],\n [-9, 9, -6, 7, -1, -1],\n [6, -6, 7, 2, -4, 10],\n [-5, 6, -2, 6, -6, 2]]\nB =\n[[0, 10, 7, 9, -4, -2],\n [10, 8, -3, -9, -2, 3],\n [4, 9, 0, -10, 3, -1],\n [-9, 0, 9, 9, -10, -10],\n [9, -2, 6, -9, 7, -4],\n [5, 1, -10, 0, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 1, 4, 0, -4],\n [8, -10, 1, 2, -1],\n [0, -10, 9, 7, 5],\n [-7, -7, 4, -10, 0],\n [5, -3, -6, 9, 2],\n [-9, -5, 8, -5, 4]]\nB =\n[[-3, 5, 0, 4],\n [5, 2, -1, 1],\n [6, -2, 3, 0],\n [-5, 1, 8, -8],\n [-8, 3, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 10, 9, 2, -4],\n [9, 2, -2, 7, 2],\n [0, 3, 4, -10, -2],\n [-9, -1, 5, 3, -8]]\nB =\n[[8, -2, -9, -6, 1, 2],\n [-10, -8, 0, -6, -8, 7],\n [-1, -6, -5, -9, 9, 0],\n [2, 9, 3, 9, -1, -8],\n [0, 9, -4, -5, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -5, -3, -8, -10, -10],\n [5, 7, 6, -4, 0, 8],\n [-10, 2, 6, -9, -7, 3],\n [6, -3, -10, -9, 0, 4],\n [4, -5, -3, 7, -2, -1],\n [-6, -4, -5, 1, -7, 1]]\nB =\n[[-5, -9, -4, -6, -2, 0],\n [-3, -6, 9, -7, -8, -6],\n [-7, 4, 9, -7, -1, 5],\n [-9, -6, -6, 9, -5, -7],\n [-10, -10, -7, -7, 4, 7],\n [9, -3, -2, -4, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1389", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[2, -7, -3, -9],\n [8, 8, -6, 4],\n [-8, 4, -7, 2],\n [-2, 1, 6, -6],\n [-7, 0, -5, 5],\n [0, 5, 5, -9]]\nB =\n[[7, -8, 2, 6],\n [2, 10, -5, 1],\n [4, -3, -8, 10],\n [-9, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -8, 3, -5, 6, 7],\n [2, -1, 1, 1, -5, 8],\n [0, -4, 3, -1, -9, -5],\n [-9, 8, -8, 5, -5, -8]]\nB =\n[[-2, -1, -8, -4, 1, 9],\n [-10, 4, 9, 4, -10, -7],\n [5, 7, 8, -8, -6, -7],\n [-9, -10, 1, 3, 3, 6],\n [-8, 6, -3, 2, 6, 0],\n [-7, -3, 7, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 2, -1, 4, -3, 6],\n [-5, 9, 2, 3, 6, -3],\n [7, -5, -6, -8, -9, -7],\n [-9, -9, -2, -4, 3, 8],\n [6, 0, -1, 4, 3, -8]]\nB =\n[[7, -5, 1, 3, 6],\n [-1, 2, 9, -10, 2],\n [8, -1, 8, -3, 2],\n [8, -10, 8, 3, 5],\n [1, -7, 1, -10, 0],\n [-7, 6, 4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 4, -8, 9, 0, -7],\n [-5, -2, -2, 1, -5, -9],\n [-5, 4, -1, -1, 1, 4],\n [-8, 9, -6, -3, -10, -4]]\nB =\n[[9, -2, 6, -1, 7, 6],\n [-5, -4, 9, -3, 4, -8],\n [9, 6, -4, 3, -3, 6],\n [9, -1, 9, 8, -3, 0],\n [-8, -5, 6, 4, -7, 10],\n [-9, 9, -6, 2, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[6, -6, -8, 4, -2, 1],\n [6, -8, -1, -7, -10, 5],\n [-10, 3, 0, 5, 0, 4],\n [9, -3, 2, 7, -9, 0],\n [5, 5, 0, 10, 1, 5]]\nB =\n[[10, 4, 3, -1, -8],\n [-9, 7, -4, 6, 2],\n [-4, -8, -8, -5, -9],\n [-10, -5, 7, 7, -9],\n [-2, 4, 9, -10, 9],\n [-7, 10, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 5, -6, -3, -5, 2],\n [-6, 6, 2, 5, -7, -6],\n [5, -10, 3, -9, 9, -6],\n [-5, 8, -10, -3, 6, -3],\n [-5, -3, 0, -7, -6, -9]]\nB =\n[[-3, 7, -1, 8, -2],\n [2, 7, 1, 9, -6],\n [8, -1, 4, -5, 9],\n [5, 5, 7, -5, -10],\n [10, 2, -9, 5, -7],\n [-7, -8, 5, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 0, -9, 8, 3, 4],\n [2, 8, -1, 9, -1, -7],\n [1, -4, -3, -3, 7, -7],\n [9, 5, 9, 7, -1, -1],\n [4, 9, 10, 0, 10, -2],\n [6, 4, -3, 6, -7, 2]]\nB =\n[[6, 4, 2, 2, -10],\n [10, -8, 3, -10, -4],\n [-7, -3, -6, -2, 2],\n [6, 8, 7, 2, -7],\n [-9, 1, 7, -4, -5],\n [9, 0, 4, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -7, -10, 5, -4],\n [-6, 5, -1, 1, -9],\n [2, 2, 2, -1, 6],\n [-6, -7, -6, 2, -6]]\nB =\n[[-9, 7, 0, 3, 2, 6],\n [10, -3, 7, -8, 5, 2],\n [-4, 3, 10, 2, 5, 8],\n [-6, -5, -10, 6, 3, -6],\n [-10, -5, 0, 8, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-525", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 4, 3, -10, 5],\n [2, -5, 0, -3, 0],\n [10, 3, 4, 4, 9],\n [-10, 3, 7, -7, 7]]\nB =\n[[7, 10, 9, -5, 1, 2],\n [7, 2, -6, -6, 2, 0],\n [6, 3, 1, 8, -10, 7],\n [-5, 2, 5, -7, -5, 4],\n [-4, -5, -3, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 9, -2],\n [2, -1, -4, -9],\n [10, 7, 8, 2],\n [-1, 2, -1, -7],\n [-1, -4, -10, 6],\n [4, 5, 2, 6]]\nB =\n[[6, -4, 1, 3, -9, 2],\n [-2, -4, -1, -7, 3, -4],\n [-10, 0, 3, 10, -6, -1],\n [3, 6, 8, 5, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1550", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, -7, 6, -7],\n [10, 3, 5, -4, -10],\n [8, 8, -3, 1, -8],\n [3, 3, -3, -5, 2],\n [9, -8, -2, 1, 1],\n [5, -7, -6, -9, 1]]\nB =\n[[3, 9, -6, 0, 9],\n [-8, -10, -7, 2, -10],\n [-7, -7, 7, 9, 10],\n [2, -1, 5, 0, 5],\n [-6, -2, -6, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2022", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -1, 4, -10],\n [6, -10, -2, -3],\n [2, 0, -9, -5],\n [1, -10, 8, -8]]\nB =\n[[-10, -1, 8, -5, -1, 4],\n [7, 2, -10, -3, 0, -10],\n [1, 5, -5, 10, -9, 1],\n [4, -7, 7, 3, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1636", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 4, 3, 3, -6],\n [-3, -5, 4, -2, 9],\n [-7, -10, 8, 5, -5],\n [-7, -4, -10, 9, 4],\n [7, -1, 9, -5, 2]]\nB =\n[[8, -6, -7, 2],\n [0, -1, -3, -5],\n [-4, -1, -4, 7],\n [-5, -1, 6, -5],\n [-1, 3, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1270", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 4, 2, -5],\n [1, 1, 1, -2],\n [8, 4, -5, -10],\n [9, -7, 6, 1]]\nB =\n[[10, 7, 2, -7],\n [-3, 5, 5, -8],\n [5, -2, -2, -4],\n [5, 10, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 0, 6, 1, 4],\n [2, -10, 9, 2, -2],\n [-1, -2, 6, 10, 6],\n [7, -3, -8, -9, -9],\n [-2, -6, 0, 2, -1],\n [9, 8, -10, -3, 3]]\nB =\n[[6, 3, 0, 10, 8],\n [3, 3, 0, 0, -1],\n [-4, 7, 6, 8, 3],\n [0, 7, 8, -6, 10],\n [-4, -8, 6, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1976", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -1, 9, 2, 4, -10],\n [4, 6, 2, -5, 8, -4],\n [-10, -9, 4, 3, -1, 3],\n [-9, -7, 0, -8, 7, -3]]\nB =\n[[-9, 6, 3, -3],\n [6, -3, -6, 4],\n [1, -9, 6, 5],\n [-7, 10, -7, -1],\n [4, -8, -7, 8],\n [9, -10, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "986", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 7, 10, -3, 4, 3],\n [5, -6, -9, -10, -9, 5],\n [2, -9, -2, 2, -1, -5],\n [8, -4, -7, -5, 4, -1]]\nB =\n[[-9, -5, -7, -10],\n [9, -6, -1, 0],\n [-3, 6, 2, -1],\n [4, 5, -9, 9],\n [8, 1, 4, -7],\n [5, -8, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 1, 1, 8, -4],\n [-8, -2, -10, 4, -7],\n [10, -2, -10, -7, 8],\n [8, 2, 7, 8, -7],\n [-10, 4, 0, -1, -6],\n [-8, 1, -1, -3, 2]]\nB =\n[[3, 6, -3, -4],\n [-4, 1, 5, 1],\n [-6, 10, 8, -6],\n [8, 3, 10, 2],\n [-3, 8, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, -4, -7, 0, -4],\n [0, -7, -3, -9, 3, -5],\n [-9, 9, 0, 3, 3, 6],\n [7, -6, -4, 9, 3, 8],\n [5, 4, -2, -7, 6, -7]]\nB =\n[[-1, -1, 4, -4],\n [-10, 0, -8, 6],\n [-8, 0, 3, -6],\n [-2, 5, -4, -9],\n [-9, 0, -3, 0],\n [-10, -10, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 8, -7, 2],\n [-10, -1, 7, -1],\n [-10, -7, -8, 1],\n [-9, 3, 7, 6],\n [0, 3, -6, 4]]\nB =\n[[0, -10, 5, -8, -10, 7],\n [7, -8, 1, 6, 0, -1],\n [8, 0, -7, 4, 3, 8],\n [-2, 8, 9, 8, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1998", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, -8, -7, 1, 6],\n [10, -2, 4, -10, 5],\n [-9, 10, 6, -7, 10],\n [0, 7, -1, -5, -10],\n [5, -8, 7, -4, 5],\n [9, -10, 6, -2, 1]]\nB =\n[[-2, 10, -3, -9, -1, -7],\n [6, 6, 3, 4, -3, -5],\n [-8, 4, 6, -4, 10, 3],\n [10, 5, 2, 9, 0, 2],\n [5, 9, 2, 1, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -6, -4, -8],\n [1, -2, 4, 6],\n [-7, 10, 5, -9],\n [-9, -5, 10, 10],\n [-2, -7, 9, -10],\n [-6, -2, -6, -6]]\nB =\n[[3, -8, -10, 9],\n [-5, 2, 10, 5],\n [3, 7, 2, -6],\n [0, -7, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 4, 3, 0],\n [6, 0, 6, -4],\n [1, 10, -8, 7],\n [7, -2, -2, 4],\n [8, -8, -9, -4],\n [-1, -3, -10, -3]]\nB =\n[[10, -7, 4, 5],\n [-7, 5, -5, 5],\n [0, 3, -6, -1],\n [-7, -7, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 5, 10, 5],\n [1, 0, -9, 5],\n [1, -9, -3, 9],\n [10, 2, 8, 4],\n [-6, 6, 10, -9],\n [-6, 1, 10, 8]]\nB =\n[[3, -2, 4, -2],\n [3, -9, 1, -3],\n [4, -9, 1, 7],\n [4, 6, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 10, -8, 6],\n [-2, 0, -1, 9],\n [-3, 8, 5, 4],\n [7, -5, -8, 8],\n [8, -3, -4, 5]]\nB =\n[[3, -2, 8, -2, -9, -3],\n [-9, -8, 3, 10, -8, -1],\n [-3, -9, -8, 4, -9, 2],\n [8, -3, -9, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1691", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -5, 10],\n [4, -10, 7, 10],\n [8, -8, -4, -8],\n [7, 4, 7, -1]]\nB =\n[[9, 9, -8, 8],\n [9, 6, 4, 2],\n [9, -2, 2, 2],\n [4, 4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 1, 5, -7, 7],\n [-6, 4, -4, -7, 5],\n [-4, 9, 6, -7, 3],\n [-8, -9, 7, 0, 1]]\nB =\n[[4, 0, -7, -6, 5, 6],\n [-6, 3, 8, 10, -5, -1],\n [1, -4, -4, -3, 8, -8],\n [9, 0, -10, -3, 2, -3],\n [0, -7, 0, -6, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -7, -5, 10, 9],\n [-3, 5, 9, -10, -10],\n [-6, 10, 7, 5, -4],\n [4, 0, -6, 5, 3],\n [8, 3, 5, 2, -4],\n [8, -10, 1, 5, -5]]\nB =\n[[-5, -10, 10, -3, -2, 8],\n [-9, 2, 6, -8, -5, 4],\n [0, 10, 1, 10, -9, -3],\n [8, 8, 1, -7, -3, -6],\n [-6, -1, 1, 7, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[3, 10, 0, -3, 6],\n [1, 4, 10, 3, -9],\n [8, -7, -8, -6, 7],\n [8, 4, 9, 4, -6]]\nB =\n[[-2, -4, -9, -3, -6, 2],\n [-4, -5, 1, 3, 10, -6],\n [10, 4, 4, -10, 7, -3],\n [4, -4, 5, 6, 9, 2],\n [5, -10, 0, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[3, 4, -7, 1],\n [-3, 6, 9, -7],\n [-8, -1, -1, -3],\n [2, -2, 7, -8]]\nB =\n[[-10, 3, -9, -3],\n [-3, 0, 7, -7],\n [6, 7, -5, -5],\n [6, 8, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -2, 2, 9, -10, 0],\n [4, 2, -9, -3, -10, -4],\n [-7, 7, 2, 1, -10, -4],\n [5, -1, 6, 2, 5, -4],\n [-9, 4, 6, -2, 10, 4]]\nB =\n[[-7, 2, -1, -4],\n [-6, -9, 0, -3],\n [-10, -5, 7, 10],\n [4, 0, 0, -7],\n [7, -9, -4, -9],\n [8, 1, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1302", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[0, 2, -5, 6],\n [9, -9, -7, 6],\n [-3, 1, 2, -6],\n [-3, 8, -9, 9],\n [-4, 6, 0, -6]]\nB =\n[[-4, -2, -10, -8, 7],\n [-2, -9, 8, -8, 4],\n [-1, 7, -4, 4, 3],\n [10, -9, -9, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[8, -9, 3, 1, -8, 9],\n [-4, -3, -7, 10, 0, 8],\n [-10, 6, -8, 9, -6, -6],\n [-6, -7, -2, -9, -3, -8],\n [-2, 3, 9, -2, 4, -9],\n [-2, -1, -1, -8, -2, 4]]\nB =\n[[-4, -3, -4, -6, 1],\n [1, 0, -9, 6, -3],\n [-10, 6, -8, -10, -8],\n [6, 10, -4, -7, -2],\n [-10, -8, 3, 9, 8],\n [-1, -7, 5, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -7, 10, -10],\n [5, -1, 1, 0],\n [6, 9, 4, 2],\n [-6, -5, -10, -5],\n [3, -8, -8, 6]]\nB =\n[[8, -6, 2, 3, -1, -2],\n [-7, -8, -1, 8, -6, -4],\n [-10, -3, 4, -1, -10, 10],\n [9, 8, 8, 8, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, 4, 5, -7],\n [6, -8, 6, -7, 9],\n [6, 6, 3, -8, 5],\n [-4, 2, 3, 1, 6]]\nB =\n[[4, -10, 5, 1, -10],\n [-10, 7, 8, 7, -5],\n [-4, -3, 4, -5, -10],\n [0, -7, -7, 1, 2],\n [4, -2, 7, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 10, 4, 6, -7],\n [10, -10, 1, 0, 9, -1],\n [-1, -3, 6, -8, -2, -6],\n [-5, -6, 3, 7, 1, 3]]\nB =\n[[-8, -2, -7, -10, -5],\n [10, -10, -3, 2, -5],\n [4, -8, -6, 6, -2],\n [8, 8, -2, 3, 6],\n [10, 9, -3, 9, 2],\n [-8, -1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -9, -9, -8],\n [6, -4, 7, -3],\n [10, 5, 8, 10],\n [-9, 10, -8, 8],\n [6, -9, -8, 3],\n [-5, -1, -7, -7]]\nB =\n[[1, -2, 10, 0, 3],\n [10, -4, -10, 6, 3],\n [-3, -7, -1, 6, 2],\n [-5, -6, -9, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[2, -4, -2, 7],\n [-6, -7, -1, -6],\n [-4, 9, -5, -6],\n [1, -5, -3, 3],\n [-6, -2, 2, 0]]\nB =\n[[-8, -1, -1, -1],\n [5, -3, 5, -6],\n [-9, -1, 8, 1],\n [-3, -10, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[7, -5, 7, 10],\n [4, -3, 0, 5],\n [5, 4, -3, -2],\n [2, 0, -3, -3]]\nB =\n[[-10, -5, 9, 5, -6],\n [9, -1, 10, 6, -3],\n [8, -9, 1, 8, 2],\n [5, -10, 8, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 4, 1, 7, 3],\n [0, -4, 3, -8, -7],\n [1, -4, 5, 8, -6],\n [-6, 5, 1, 3, -9]]\nB =\n[[-1, 1, -2, 5],\n [2, 1, 2, -1],\n [5, 8, 10, -7],\n [10, -6, -7, -9],\n [0, 8, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "963", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -3, 7, -3],\n [6, 4, 2, 10],\n [-3, -2, -9, 7],\n [0, -10, 5, 6],\n [-6, 10, 6, -2],\n [2, 1, 1, 7]]\nB =\n[[1, 3, 3, -3, -8],\n [-6, 5, 1, -10, -1],\n [-6, -3, -10, 7, -5],\n [4, 9, -10, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -4, 6],\n [-1, 9, 7, 6],\n [-6, 2, 2, -4],\n [10, 10, 1, -10],\n [2, 5, 0, 7]]\nB =\n[[3, 2, 4, 2],\n [0, -10, 5, 7],\n [3, -1, -10, -3],\n [-10, -8, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 9, -3, 6],\n [-3, 3, 5, 9],\n [5, -1, 10, -3],\n [10, -10, -2, 9]]\nB =\n[[-9, 3, 0, 2, -5],\n [5, -9, 4, -5, 3],\n [-6, -1, -5, -9, 1],\n [10, 10, -9, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, -8, 7, 8, -6],\n [-6, -2, -3, -8, -2, -10],\n [1, 5, -5, -10, 9, -6],\n [3, -5, 6, -10, -5, -7]]\nB =\n[[-4, 3, 8, 4, -3, -8],\n [0, 5, -6, -1, -7, 3],\n [-7, 2, 9, -1, -1, 0],\n [4, 3, -6, -6, -1, -1],\n [-5, -6, 4, 4, 5, 0],\n [7, -7, 6, -1, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1484", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 1, -8, -10],\n [-10, -7, -5, -10],\n [-6, -9, 0, -10],\n [6, 0, -5, 4]]\nB =\n[[0, -1, -3, -3, -5],\n [1, -5, 10, -8, -2],\n [7, 6, -4, 1, 7],\n [0, 1, 10, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-468", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -10, 6, 7],\n [-3, 2, -2, -10],\n [5, 3, 7, 9],\n [6, -1, 1, 6],\n [1, -7, -6, -7]]\nB =\n[[-10, 0, -8, -9, -9],\n [7, -10, -9, -7, 0],\n [2, -10, 7, 6, -2],\n [-4, -7, 8, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 4, 6, 9, -10],\n [-10, 3, -1, -4, 2],\n [7, -3, 4, -4, 0],\n [6, -9, 7, 1, 3]]\nB =\n[[6, -1, -3, -9, 7, 9],\n [-7, 7, 6, 9, -5, 3],\n [-4, -2, 2, -7, -6, -4],\n [-9, -1, 10, -5, -9, 7],\n [10, -2, -6, 7, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -9, -1, 7, 10, 1],\n [0, -1, 3, 7, -1, 3],\n [10, -2, -2, 4, -3, -8],\n [-9, -1, -1, 9, 7, 7],\n [9, 3, 9, -3, -1, 5]]\nB =\n[[2, 10, -9, -3],\n [3, -2, 6, 2],\n [-4, -2, -10, -9],\n [7, -7, -4, 7],\n [-8, 10, 2, -2],\n [-6, -1, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -9, -10, 10, 9],\n [-7, 0, -6, 0, 2, 1],\n [-3, -8, -1, 8, 9, -6],\n [-7, 0, -3, -2, -10, 1],\n [2, -5, 4, 10, -10, -5],\n [0, 2, -2, 9, -5, -5]]\nB =\n[[1, 4, -5, -9],\n [-8, 3, -10, -2],\n [6, -2, 7, 0],\n [-2, 4, 0, -4],\n [3, -1, 0, -4],\n [-2, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -9, 5, -7, 9],\n [2, 9, 10, 7, 7],\n [3, -4, 2, -5, 1],\n [5, -10, -9, -4, -3]]\nB =\n[[-2, 6, 3, -4],\n [9, 2, 7, 2],\n [-10, -1, -6, 1],\n [-1, 10, -9, -6],\n [-1, 1, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, -2, 6],\n [-3, -10, 1, -8],\n [3, 9, 9, 3],\n [0, 7, -1, 10],\n [3, -4, 7, -4],\n [-1, 5, -6, -5]]\nB =\n[[-7, -9, -3, 5, -3],\n [10, 1, -6, 6, -9],\n [2, -5, 4, -7, 5],\n [10, -5, -6, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, 2, 0, 2],\n [9, 10, -4, -7, 0],\n [-2, -4, 7, -2, 1],\n [-4, -3, -1, -10, -8],\n [-2, -5, 9, 4, -3]]\nB =\n[[0, -3, 10, -7],\n [1, -8, -7, 4],\n [3, 1, -1, 4],\n [4, -9, 5, -2],\n [7, 8, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "829", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-3, -9, 0, -5, -4, -5],\n [4, -2, 0, -1, 6, -7],\n [6, -1, 7, -3, -10, -5],\n [0, -1, 4, 0, -3, 2]]\nB =\n[[0, 10, -9, -3, 7, 8],\n [8, -6, -3, -1, 6, -7],\n [-10, -3, 8, 2, 7, 4],\n [-6, 10, -6, -8, -9, 6],\n [4, -9, -2, -3, -7, 3],\n [-8, 10, 2, 6, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, 9, 7, -7],\n [-2, 4, -7, 3, 7],\n [5, 3, 3, 7, 2],\n [-8, -2, -3, 0, 4],\n [-10, -9, -9, 7, 4],\n [-10, -6, 4, -6, -2]]\nB =\n[[0, 10, 9, 5, -7],\n [4, -4, -10, -6, -7],\n [3, -7, -4, -9, -2],\n [5, -8, 6, 8, -1],\n [-8, -2, -2, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-5, -2, 9, 3],\n [-1, 8, -4, -5],\n [9, -5, 2, 0],\n [-1, 4, -6, 6],\n [4, -1, -5, -1]]\nB =\n[[9, -1, -7, -9],\n [7, -4, 7, 8],\n [-2, -9, -10, 5],\n [-9, 5, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 9, 1, 3, 7],\n [1, 6, -1, 4, -4],\n [0, -10, -7, -7, 10],\n [1, -9, 7, -4, 5],\n [0, -9, 4, 9, -7]]\nB =\n[[-7, 8, 7, -1, 9, 9],\n [-10, 1, 1, -7, -9, -10],\n [8, 5, -10, 2, 4, 0],\n [8, -9, 1, -3, 9, 2],\n [-2, 3, 5, 7, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -5, -9, 10],\n [-8, 7, -1, 0],\n [-8, -4, 10, -6],\n [-10, -6, -2, 1],\n [8, -1, 4, 10]]\nB =\n[[-3, -9, 10, 3, -8, -10],\n [-5, 7, 6, 2, -4, -9],\n [4, 6, -7, -2, 0, -3],\n [-2, 5, -9, -9, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -5, 7, -7, -9, -8],\n [3, 7, 6, -7, 0, 7],\n [-2, -2, 0, -3, 3, -10],\n [9, -6, 5, 9, -8, -5],\n [5, -6, 6, 0, 3, -2]]\nB =\n[[-10, 7, -9, -9, 9, -2],\n [0, 10, -4, -1, 4, 6],\n [-5, -1, 3, -10, 2, 8],\n [7, 9, 3, -1, 2, 9],\n [-2, 10, -3, 4, 5, -7],\n [2, -8, -7, 9, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 9, 10, -9],\n [-5, 5, -2, 6],\n [-3, 0, -10, -6],\n [0, -10, -8, -1],\n [8, 5, 5, 5],\n [-10, 9, 9, 9]]\nB =\n[[4, 9, 3, -8],\n [9, -6, 1, -8],\n [10, 8, 3, 4],\n [-3, -4, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 5, 10, -10, 4],\n [-2, 7, 9, -2, 7],\n [5, 4, 5, 9, 7],\n [-9, -5, -5, 7, 6]]\nB =\n[[-8, -7, -2, 8, -4, 3],\n [10, 1, -8, 7, 10, 9],\n [-4, 3, -3, 5, -3, -1],\n [5, -9, 4, 3, -5, -9],\n [10, -4, 7, 7, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -4, -10, 2, -5],\n [-4, -4, 1, -7, 0],\n [-5, 2, -9, -5, 4],\n [-7, -10, 10, -1, 7]]\nB =\n[[-3, -3, -3, 2, 1, 7],\n [1, 7, 10, -3, 5, 9],\n [6, 10, -9, -1, -5, -5],\n [-9, 9, -6, 0, -10, 10],\n [-3, -8, -10, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-535", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 8, -3, 3, -7],\n [2, -5, -10, 2, -10],\n [9, 10, 8, -5, 2],\n [-10, -3, 0, 10, 7],\n [-4, 7, 2, 3, 3]]\nB =\n[[-3, -5, -10, -2, -4],\n [3, -10, -1, -4, -3],\n [6, -8, -4, 0, 3],\n [-1, -6, 7, 4, -10],\n [-3, 1, 10, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -6, 10, 6],\n [-3, 9, -6, 3],\n [-10, 10, 10, -8],\n [1, 3, -2, -4],\n [-8, -7, 8, 8]]\nB =\n[[-5, -7, 4, -8, 6],\n [10, 3, -6, -2, 7],\n [-7, 6, -1, -9, -3],\n [3, -9, 0, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1605", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[7, -5, 2, 10, 10],\n [1, -8, -8, -4, 10],\n [2, 3, 3, 8, -8],\n [10, -4, 0, -2, 10],\n [3, -8, -7, -3, 6]]\nB =\n[[-3, -10, 1, 9, -9, 6],\n [-9, 8, -10, -8, 2, -2],\n [8, 4, 6, -1, 10, -8],\n [0, 7, 6, 9, 8, 4],\n [-3, 7, 3, 2, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -8, 3, 4, 10],\n [-10, -9, 8, 3, 9, 5],\n [0, 4, -7, -8, 1, 2],\n [-5, -1, -9, -5, 8, -5],\n [-7, -1, 1, 2, 5, 0]]\nB =\n[[-5, 6, 5, -3],\n [-4, -7, -1, 6],\n [4, 3, 1, -4],\n [-4, 2, 2, -7],\n [1, 6, 4, -8],\n [-6, -4, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "903", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -7, -9, 10],\n [-8, 5, -7, 5],\n [2, -2, 4, -9],\n [-1, 0, -7, 7],\n [-4, -3, 6, -9],\n [-6, 8, 8, -2]]\nB =\n[[5, -10, -9, 9, -2, -5],\n [7, 4, -8, 0, 0, -7],\n [-10, -5, 8, 9, 0, -9],\n [-7, 6, -10, -1, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 2, -1, -7, 2, 10],\n [1, 4, 6, 6, 0, -9],\n [-1, 2, -8, 0, -8, 7],\n [3, -8, 2, -10, -1, 7],\n [-2, 5, 10, -3, 10, 7],\n [-3, -3, 10, 3, -5, 3]]\nB =\n[[9, -2, 8, 3],\n [-3, 1, 6, 5],\n [10, -5, 2, 5],\n [5, -9, 9, -5],\n [1, 9, -4, 1],\n [7, 4, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 10, -8, 7],\n [-5, -1, 0, 3],\n [6, -5, 3, -2],\n [-2, -2, -2, -7],\n [9, 8, -7, 0]]\nB =\n[[-3, -9, -6, -9, -4],\n [-10, -7, -8, 3, -5],\n [-9, -4, 5, 7, 7],\n [-6, -8, -6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-626", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -10, -6, 10],\n [5, -3, -3, 2],\n [-9, 0, -1, 0],\n [0, -4, -5, -2],\n [-3, -10, -3, 1],\n [10, -9, 9, -10]]\nB =\n[[4, 7, -4, 8],\n [7, 2, -10, 10],\n [7, 4, 10, -3],\n [-2, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-461", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 6, 2, 5, 2],\n [5, 0, -4, -2, -5],\n [8, -4, 3, -7, -4],\n [3, 2, -6, -8, -7],\n [-3, 10, -1, 5, -9]]\nB =\n[[4, 10, -4, -1, 4, 5],\n [-2, -5, -5, 4, -7, 7],\n [4, 2, 6, 8, -3, -9],\n [1, 4, -5, -5, 3, -4],\n [8, -4, 10, -9, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 0, -5, -6, 5],\n [-1, 7, 6, -7, -5],\n [0, -2, 6, -1, -1],\n [-9, -2, -7, -2, 0],\n [-5, 0, 6, -9, 0],\n [2, 7, 7, -1, 1]]\nB =\n[[10, 2, -1, 2, 0, 3],\n [0, 10, -9, -1, 4, 1],\n [5, 4, -9, -3, -6, -4],\n [7, -4, -10, 5, -1, -3],\n [-6, 4, 7, 7, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 10, 7, 9],\n [-4, 8, 3, 4],\n [-7, 10, 5, 1],\n [-7, 8, 4, -3],\n [5, 8, -7, -7],\n [3, 10, 3, -6]]\nB =\n[[3, -8, -4, 2],\n [-9, 9, -5, 8],\n [-10, 7, 4, 8],\n [1, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-2, 3, 8, -7, -5, -4],\n [3, -6, 7, -3, 6, 7],\n [9, 8, 5, 5, 4, -3],\n [6, -6, 3, -1, -8, -3],\n [4, 7, -10, -4, 3, -4],\n [7, -4, -4, 8, 2, 7]]\nB =\n[[10, -6, 0, 9, 2],\n [9, -7, -1, 10, -5],\n [-10, 9, 3, -2, -7],\n [-1, -5, 6, 9, -1],\n [0, 0, -1, 1, 4],\n [9, -1, -9, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -4, -7, 7],\n [0, -8, 0, -1],\n [10, 8, -9, -10],\n [3, -9, 8, 8],\n [-1, -10, 0, 6],\n [7, 10, 2, -3]]\nB =\n[[7, 3, 0, 2],\n [-6, -5, -10, -3],\n [-8, -3, -5, -6],\n [9, 0, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "779", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, 2, -4, 6],\n [4, 1, 1, -1],\n [0, 6, 0, -8],\n [-2, 6, -8, 4],\n [9, 7, -2, 1],\n [0, 0, 0, 3]]\nB =\n[[-7, 7, -2, 7, -6, 8],\n [-1, -2, -5, 7, 2, -1],\n [-9, -8, 0, -10, -8, -9],\n [7, -5, 6, 6, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -1, 9, -7, -5, 8],\n [-8, 8, 4, 6, 2, 6],\n [7, 9, 10, 0, -8, -6],\n [1, 9, -8, 6, 6, -10],\n [-7, 6, 4, -5, 7, -8]]\nB =\n[[10, -9, 8, -6, 5],\n [6, 7, 0, 9, -8],\n [10, 9, -1, -7, -8],\n [2, 6, -8, -8, -1],\n [-7, 7, -10, 9, -7],\n [1, 3, 3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2857", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, 3, 5, -5, -9],\n [2, -8, 7, 2, 3, 7],\n [0, 5, 5, -8, -7, -3],\n [-10, -6, 7, 7, -3, 4],\n [1, 4, -3, -9, -3, 9]]\nB =\n[[-6, 5, -9, -1],\n [-10, 0, 9, -7],\n [-10, 2, 3, 4],\n [2, -4, 6, -6],\n [0, -7, 8, 10],\n [1, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, 6, 2],\n [2, -3, 3, 9],\n [0, -9, -1, -7],\n [8, 0, 6, 7]]\nB =\n[[-10, -1, 6, -5],\n [10, -3, -5, 9],\n [-9, -3, 4, -6],\n [-10, -5, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -6, 10, -3, 7],\n [-5, 6, -2, 8, -1],\n [10, -1, 9, -1, -1],\n [6, 2, -2, 5, -6]]\nB =\n[[-2, 8, 2, 1, 0, 9],\n [7, 7, -6, -1, -7, 5],\n [-6, 8, -3, -1, -9, 7],\n [-3, -4, -6, -10, 8, -5],\n [-10, 3, -3, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1690", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -10, -10, -3],\n [-7, -2, 2, 8],\n [0, -2, 10, -3],\n [10, -2, -6, 9],\n [5, 10, -4, -6],\n [-8, -5, 5, 5]]\nB =\n[[9, -8, -7, 5],\n [6, 2, -2, -10],\n [3, -3, -6, 2],\n [-4, 8, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -1, -8, 4, -6],\n [-3, -7, -10, 10, -3],\n [9, 5, 7, 1, 6],\n [-6, -5, -3, -8, -7],\n [-3, 1, -6, -2, -7]]\nB =\n[[4, -5, 5, 5, -6, 4],\n [9, 8, -10, -1, -9, 10],\n [-1, 5, 9, 1, -10, 3],\n [-4, 2, -3, -9, 8, -6],\n [-5, -7, 1, -6, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -7, -1, 6, -10, -6],\n [3, 6, 7, 9, 4, 3],\n [0, 0, 6, 6, 10, -8],\n [5, 10, -9, -5, 4, 6]]\nB =\n[[-6, 7, 3, -7],\n [-9, -10, 3, -4],\n [7, 7, 5, 4],\n [-3, -1, 9, 2],\n [-8, -10, -7, 2],\n [-10, 2, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1449", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, -3, 0, 3],\n [5, -8, 4, -4],\n [10, -9, 4, -5],\n [2, -4, -8, -1],\n [-3, 1, 9, -4],\n [-2, 0, -8, -7]]\nB =\n[[5, -10, -7, -10, 2],\n [-8, 3, -6, -2, -9],\n [-6, 0, 4, 5, -5],\n [2, 3, 4, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, 3, -10, -5],\n [-8, 2, -7, -2],\n [2, -3, 2, -9],\n [-4, -8, 10, 10],\n [-5, 8, -7, -9]]\nB =\n[[-3, -4, -10, 4, 7],\n [6, -2, 6, -3, -8],\n [-4, 0, -6, 2, 7],\n [-9, -9, 4, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, 9, 7, -3, 8],\n [7, -7, 0, -7, -8, -4],\n [-8, -2, -5, 8, -9, -4],\n [6, 10, -3, 7, 0, -6]]\nB =\n[[-7, -2, 2, 10, 5, -6],\n [7, -5, -10, -9, -3, -7],\n [0, 1, 7, -6, 0, 8],\n [5, 0, 1, -8, 3, -1],\n [9, -7, -3, -4, -9, 4],\n [-10, -7, 4, -4, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 5, 9, -2, 1, 8],\n [-5, 9, -7, -5, -4, -9],\n [3, 2, 0, -1, -4, -1],\n [10, -5, 4, -6, 10, -10],\n [9, -2, -2, 2, -10, 8]]\nB =\n[[8, 0, 2, -3],\n [-9, -9, 10, -3],\n [2, -1, -4, 10],\n [-5, -10, -6, -2],\n [-4, -2, 7, -9],\n [-3, -5, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1083", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 5, 7, 4, -2, 9],\n [2, 2, 0, -4, 8, 5],\n [-1, -10, -7, 8, 10, -3],\n [-10, -8, 3, 1, -1, 3]]\nB =\n[[-2, -4, -5, -9],\n [-9, -1, 5, 4],\n [1, 7, -4, 4],\n [-10, 6, 3, 3],\n [2, -3, 3, -1],\n [4, -1, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 9, -6, 4],\n [9, 6, -3, 8],\n [-6, 10, -5, -7],\n [-9, 6, -4, -3]]\nB =\n[[-2, 4, -9, -2, -4, 1],\n [-9, 7, 4, -4, -5, 9],\n [-6, -6, 1, -7, 5, -6],\n [-9, -6, 0, 5, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[9, -5, -3, -6, -1, -5],\n [1, 2, 8, 1, 5, 3],\n [4, 6, -9, -5, 10, -4],\n [-3, -5, 8, 2, 1, -7],\n [1, 2, 7, 9, 6, 0]]\nB =\n[[-8, 6, 9, -10, 4, -8],\n [5, 0, -8, -4, -7, -9],\n [-9, -6, 0, 10, 9, 8],\n [0, 6, 1, -3, 5, 10],\n [7, 8, -8, 4, -7, -5],\n [-6, 8, -1, -9, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 3, 4, 0, -2],\n [7, -3, 6, 2, 7],\n [-4, 10, 10, 9, -7],\n [-8, 10, -3, -9, -9]]\nB =\n[[-5, -2, 2, 9, 8, 3],\n [-5, -7, -6, -4, 2, 6],\n [3, -6, -4, -1, -2, 8],\n [-10, 4, -8, -2, -5, -1],\n [8, -6, 1, 8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-419", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -4, -1, 6],\n [6, -1, 9, -8],\n [-3, 3, 10, 0],\n [-8, 10, -3, 10],\n [-6, 4, -10, -3],\n [-10, 2, -1, -10]]\nB =\n[[-6, 2, -3, 2],\n [3, 1, -1, 1],\n [3, -6, -10, 1],\n [10, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -4, 10, -6, -7, 10],\n [-7, 1, -1, -9, -5, -7],\n [5, 9, 6, 2, -7, 3],\n [9, 1, -2, -7, 9, -10]]\nB =\n[[0, 7, -2, -9, -7],\n [-5, -4, -7, 9, -4],\n [-7, -7, -5, -2, -9],\n [8, 9, 7, -3, 3],\n [9, 4, -1, 1, -6],\n [5, 4, -4, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 4, 4, -7],\n [10, 1, 8, -4, 8],\n [-3, -1, 1, 10, -1],\n [-6, -2, 0, 1, 7],\n [2, -5, -6, 6, 5]]\nB =\n[[-8, 5, 0, 7],\n [-4, 3, 10, 2],\n [2, 10, 3, 10],\n [5, -10, -3, -5],\n [0, -3, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -9, -5, 7, 1, -5],\n [0, -6, 8, 9, 2, 6],\n [10, -1, 0, -6, -7, 3],\n [4, -2, 4, 9, 6, 3],\n [9, 0, -2, 10, -3, 5]]\nB =\n[[-5, 9, 10, -7, -7],\n [7, -9, 2, -1, -4],\n [-4, 4, 4, -3, -3],\n [8, -2, -3, -1, -4],\n [5, -3, 0, -2, -10],\n [1, -3, 0, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, -1, -6, -5],\n [-9, 0, 7, -10],\n [5, 3, 0, -7],\n [9, -8, -1, 8]]\nB =\n[[-10, -2, 4, 4],\n [-6, -10, -3, 3],\n [-5, -6, -2, -3],\n [-2, 4, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -9, 1, -9, -10],\n [10, -5, 8, -2, 0],\n [-7, 2, -8, 5, 0],\n [4, -9, 10, 2, 2]]\nB =\n[[-9, -6, -2, -6, 2, -5],\n [-10, 8, -8, -1, -5, -3],\n [2, -3, -1, 7, 4, 2],\n [-8, -2, -9, 9, 9, 1],\n [0, -4, -10, 5, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, 1, 2, -9],\n [8, -5, -5, -7, -2],\n [-6, 10, 5, -9, 6],\n [-9, 8, 5, 1, 3],\n [-2, -1, -8, 3, 8],\n [-3, -10, 0, 3, -8]]\nB =\n[[-9, -7, -7, 5, 2],\n [-1, -9, -8, -1, 7],\n [-7, 5, -1, -7, -4],\n [4, -1, 7, 7, 1],\n [-8, -1, 0, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -8, -1, 10, 3, 10],\n [7, -4, -10, -6, -4, 5],\n [1, 9, -3, -3, 0, 8],\n [10, -9, -10, 1, 3, -6],\n [9, -7, -5, -10, -9, 10]]\nB =\n[[2, 5, 4, 8],\n [9, -4, -8, 0],\n [-9, 10, -2, 9],\n [-5, -6, 0, -3],\n [-10, -5, -4, 5],\n [5, -4, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -3, -5, 3, 7, 4],\n [0, 9, -5, 1, -4, -4],\n [10, 10, 8, -2, 7, 9],\n [-2, -9, 4, -7, 8, -5],\n [-7, -3, 6, 6, 3, -10]]\nB =\n[[-7, 3, -2, 3, -9],\n [1, -3, 3, -4, 10],\n [-5, 1, 9, 3, -1],\n [3, -3, 1, -1, 1],\n [-4, 4, -3, -7, -1],\n [-5, -8, -1, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, -10, 1, 4],\n [7, -6, 5, -6],\n [-5, -2, -6, -6],\n [-1, -6, -7, -7]]\nB =\n[[9, 1, -8, -4],\n [2, -2, 7, -4],\n [-4, 10, 6, 9],\n [-8, -10, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -5, 8, 5, -5],\n [1, -6, -2, -2, 8],\n [1, -4, -5, -4, 6],\n [-1, 10, 4, -7, -1],\n [-10, -8, -10, 4, 4],\n [-10, -7, -6, -4, -7]]\nB =\n[[-7, 8, -5, -9, -6, -5],\n [-8, 5, 6, -7, -10, -10],\n [2, 0, 9, -4, -3, 10],\n [-9, -4, -10, -7, 7, 5],\n [2, 8, 6, -2, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3025", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 8, -7, 3, -6, -6],\n [-9, -1, 9, -8, 4, 7],\n [-3, 2, -6, 6, 8, 1],\n [1, 6, -2, 2, 8, 9],\n [-4, 8, -5, 6, 4, -2]]\nB =\n[[8, -4, -2, -2, -6],\n [-3, -3, -1, -4, 4],\n [-9, 10, 8, -9, 1],\n [-7, 5, -6, 7, 1],\n [-9, 1, -8, 6, -6],\n [0, 9, -3, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-313", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -5, 3, 2],\n [-5, -4, -6, -1],\n [1, 4, 10, 7],\n [-3, 3, 5, -9]]\nB =\n[[-5, -8, 9, -1],\n [-1, 7, 5, 10],\n [10, 6, 7, 3],\n [3, -8, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 10, -5, 2, -4],\n [1, -7, 8, -2, -9],\n [7, -10, 5, 9, 5],\n [5, 5, 5, 5, 7],\n [-10, -1, -3, -8, 2]]\nB =\n[[-4, 4, -3, 7],\n [2, -1, -3, -9],\n [-4, 9, 9, -7],\n [5, -1, 0, 5],\n [-1, -9, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 6, 7, 8],\n [9, 3, -10, 2],\n [5, -2, -2, 1],\n [-2, 4, -9, 4],\n [7, 10, 8, -3]]\nB =\n[[-6, -1, 2, 10, 9],\n [-8, 5, 10, 8, 8],\n [1, 9, 9, 5, -5],\n [2, -2, 7, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 9, -5, 6],\n [4, -2, -8, 6],\n [-6, 4, 0, 3],\n [-8, 9, 2, -9],\n [6, 6, -10, -1],\n [4, -9, -3, 6]]\nB =\n[[1, -6, -5, 4],\n [2, -1, -1, 2],\n [7, -9, 3, 8],\n [6, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 5, -4, 0],\n [-8, 6, 1, 4],\n [-4, 5, 3, 4],\n [-5, -10, 0, 5],\n [-5, -4, -8, -9]]\nB =\n[[-9, -2, 10, -7, -9, -1],\n [3, 10, -9, 3, 9, 0],\n [-2, -8, -7, -10, 1, 8],\n [9, -7, -6, -8, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 5, 5, 9],\n [10, -8, -10, 0, 10],\n [-5, 3, -7, 7, -7],\n [10, -5, 5, -3, 0]]\nB =\n[[3, 9, 9, -10, 0],\n [3, 7, -3, -5, -7],\n [7, 3, 1, -10, 10],\n [-7, -4, 7, 1, -4],\n [3, 9, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 7, 2, -5, 7],\n [-6, 6, -5, -1, -5],\n [-9, 0, -9, -3, 1],\n [9, -4, -6, -8, 1]]\nB =\n[[-2, -3, 8, -1, -3, -3],\n [1, -1, -10, -7, 6, 9],\n [2, 5, -7, -8, 9, 2],\n [-8, 1, 10, 9, 4, -6],\n [-4, -7, 0, -6, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1248", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 7, 3, 1, 4, -3],\n [-6, 2, -6, 8, -1, -5],\n [-10, -5, -5, 0, 8, 7],\n [-4, 4, 2, 10, 3, 8],\n [-4, -1, -8, 9, 5, 8],\n [-9, -6, -8, 8, -10, 4]]\nB =\n[[-7, 4, -2, 10, -3],\n [6, -8, -3, -8, -6],\n [3, -2, -4, 8, 9],\n [0, -7, 4, 7, 8],\n [3, -4, -9, 7, -4],\n [-3, -4, -6, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, -2, -8, -10, -1],\n [5, 10, -8, 1, 1, -10],\n [-8, -9, 9, -6, 9, -9],\n [9, 9, 5, -4, 9, -8],\n [-8, -8, -5, 4, 6, -8],\n [6, 0, 5, 9, 9, -3]]\nB =\n[[-10, 7, 7, -4, -8, 7],\n [-3, -6, 8, -9, 9, 10],\n [6, 0, -6, -6, -9, -7],\n [4, -3, -3, 9, -4, -10],\n [5, -8, 2, -7, -4, -2],\n [2, -1, 1, -10, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 9, 2, 9, -6],\n [9, -2, 7, 8, 9],\n [-2, 0, 1, -6, -6],\n [-10, 4, -7, 0, 1],\n [-4, 9, -1, 8, 5]]\nB =\n[[-6, 2, 10, 0, 3, -5],\n [2, -1, 10, -6, 2, 10],\n [2, 7, -10, -6, -5, 10],\n [-4, 7, 8, 8, 10, 3],\n [6, -10, 1, -8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -3, 10, 9, -10],\n [-10, -8, 4, 8, -3],\n [-9, 4, -4, 6, 10],\n [-8, 8, -1, 3, 9],\n [-4, 3, 8, -4, -2],\n [-5, 2, 3, 6, -1]]\nB =\n[[4, 3, -1, -10, -5, 6],\n [5, 0, -1, 1, 2, -4],\n [10, 9, -4, -5, 6, -4],\n [1, 8, -9, 7, -5, -7],\n [5, -4, 8, 7, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2749", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[2, -5, 9, -1, 8],\n [-8, -2, -9, 2, -2],\n [10, 9, 3, 9, -5],\n [-1, 10, 2, -4, -7],\n [-9, 2, 10, -2, 6]]\nB =\n[[-7, 5, 9, 4, 9],\n [3, -7, 9, -8, 1],\n [-7, 10, 7, 8, -5],\n [1, 0, 7, -5, -8],\n [6, 7, -4, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[10, 4, 7, -5, -3],\n [-6, -7, 5, 2, -2],\n [6, 4, -5, -2, -1],\n [-4, 10, -7, 3, -3],\n [5, -8, -2, 7, 4]]\nB =\n[[-3, 5, -3, 7, 1],\n [5, 5, 7, 10, -2],\n [-6, -2, 10, -3, -10],\n [3, -5, 6, 4, 8],\n [8, 1, -9, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -1, 6, 10, -8, 1],\n [2, 4, 0, 2, 2, -8],\n [5, 7, 9, 7, 6, 2],\n [9, -2, -1, -10, -3, -10],\n [9, -2, -5, -5, -2, -7],\n [7, -1, 8, -2, -4, -4]]\nB =\n[[-9, 9, -6, 9],\n [-8, -7, -5, 4],\n [-9, 9, -9, -5],\n [7, -5, 7, -6],\n [-3, 6, 2, -7],\n [-8, 1, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -4, 10, 3, 4, -3],\n [4, -2, -6, -3, 9, -7],\n [2, -6, -1, 10, -2, 10],\n [3, 7, -9, -2, 0, -3]]\nB =\n[[-7, -8, 10, 1],\n [2, 5, -5, 8],\n [10, -8, -10, -4],\n [1, 8, 0, 1],\n [-5, -2, 0, 8],\n [10, 9, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -1, -6, -9, -8],\n [3, 10, 7, 4, -5],\n [7, 8, -2, -1, 2],\n [-7, 6, 6, 5, -2],\n [-5, -9, -6, -10, -9]]\nB =\n[[-9, 2, -5, 8],\n [-4, 6, -3, -7],\n [-5, 8, -8, 0],\n [5, 4, 8, 4],\n [3, -3, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, -10, -6, -2, -2],\n [-3, -2, 5, 3, -9],\n [2, -5, -2, 2, -7],\n [7, -2, 10, -6, 8],\n [3, -3, -6, -8, 4]]\nB =\n[[-4, -7, 4, -1, -10],\n [9, -10, -1, -7, 5],\n [10, -1, 10, -2, -9],\n [-1, 10, -2, -6, -2],\n [10, -7, 6, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 1, -8, 4, -2, 9],\n [8, 9, 3, -7, 8, -4],\n [-6, 9, 6, 2, 0, 7],\n [10, -10, 3, -4, -4, -1]]\nB =\n[[6, 1, -2, -5, 10, 1],\n [0, -9, 4, 0, 6, -2],\n [7, 9, -7, 10, 3, -9],\n [3, 7, 1, 5, -5, -2],\n [-7, -6, -6, 7, -4, -3],\n [-10, -7, -6, -5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1636", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -6, 4, -7, -2, -9],\n [-4, -5, -6, 9, -2, -1],\n [6, 8, -8, 6, 3, 4],\n [-3, -5, 0, -4, 1, -1]]\nB =\n[[-6, 7, -7, 4, 2],\n [-9, 4, 3, -7, -3],\n [-2, -8, -2, -4, -8],\n [7, -10, -5, -10, -10],\n [-2, -7, -2, -8, 1],\n [1, 8, 10, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 10, 6, 9, -5, 8],\n [6, -2, 0, -5, 10, 3],\n [-3, -10, -2, -1, -10, 9],\n [8, 7, 3, 1, 2, 5],\n [-5, -3, 10, -2, -3, -1],\n [5, -1, -8, 8, 8, -6]]\nB =\n[[8, 10, -3, 0],\n [7, -6, -10, -6],\n [2, -4, 0, -10],\n [-7, -2, -3, 6],\n [1, 4, -2, 7],\n [6, -3, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -5, -9, 10, -9, -2],\n [-3, 5, -6, -7, -7, -4],\n [-7, -8, -3, 8, -9, -4],\n [3, 8, 2, 2, -2, -3]]\nB =\n[[-1, -1, -1, -9],\n [6, -9, -1, 9],\n [-2, 9, -8, 10],\n [8, 0, 2, 9],\n [7, -10, 3, 9],\n [1, -1, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 10, 5, -4, 9, 7],\n [-3, 7, 4, -1, 5, 10],\n [4, -10, 3, -9, -1, 0],\n [4, -5, -6, -5, -7, 2],\n [-8, 0, -7, -10, 5, 9],\n [7, 8, 10, 3, -6, 5]]\nB =\n[[-4, -4, 7, 3, -9, 3],\n [-4, -1, 5, 4, -6, -4],\n [-5, -4, -7, 10, -7, 6],\n [-6, -3, -3, -1, 3, -1],\n [7, 4, 6, -3, 6, 6],\n [-6, -7, 7, -7, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -6, 1, -6],\n [1, -9, -2, -7],\n [5, 6, -8, 9],\n [10, 2, 2, -9],\n [-1, -9, 8, -2],\n [-6, 1, -3, -4]]\nB =\n[[4, -10, -2, -4, -3, 8],\n [7, 6, -1, 6, 3, -5],\n [-3, 2, -1, 8, -5, 6],\n [-1, -7, -1, -5, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-1, -3, -2, -1, 7],\n [-5, 7, 7, -4, 1],\n [-5, -4, -9, -9, 6],\n [-9, -10, 0, 1, 6]]\nB =\n[[3, 8, 5, -8, 7],\n [9, 9, 6, -5, 9],\n [-6, 7, -5, -10, -1],\n [9, -5, -7, -4, -10],\n [-4, -2, -6, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 2, 0, -8],\n [6, 2, 6, -4],\n [-2, 9, 6, 10],\n [-9, 3, 9, -6],\n [9, 0, 9, 5],\n [-6, -7, -4, 1]]\nB =\n[[-8, 5, -6, -6, -9, 0],\n [1, 5, 6, 3, -1, -4],\n [-1, 3, 8, -3, -10, 2],\n [9, 4, 3, 2, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2288", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -9, -4, -8, -7],\n [4, -9, -3, -4, -9],\n [6, 0, -5, 6, 5],\n [-10, 1, -7, 8, 7],\n [8, 6, -6, 5, -2]]\nB =\n[[7, -1, 8, -1, 1, 3],\n [4, 1, 5, -1, -5, 5],\n [-3, -7, -7, -3, 10, 1],\n [6, 3, 1, -7, -10, 8],\n [6, 8, 3, 4, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, 2, -8, 3, -7],\n [0, 3, 1, -1, -4, -8],\n [10, -8, 3, 4, 4, 3],\n [-6, -8, 0, 8, 8, 2],\n [7, -5, 3, -3, 3, 10],\n [3, -6, 9, 6, 0, 8]]\nB =\n[[-9, 6, -9, 10, -8],\n [-3, 4, 5, 6, 2],\n [-8, 10, -7, -6, -4],\n [10, 6, 7, 1, 3],\n [2, 2, 0, 5, -5],\n [9, -5, 0, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 6, 7, -4, -7],\n [9, -2, 10, 10, 3],\n [-9, 7, 4, 8, 0],\n [3, 3, -9, 7, 4],\n [-6, -5, -2, -1, 8],\n [0, 0, 8, -8, -7]]\nB =\n[[9, -2, 0, -4],\n [-5, 1, -1, 8],\n [7, -4, -10, -5],\n [9, 6, -3, -10],\n [8, 7, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -8, 2, 2],\n [-8, -1, -9, -10],\n [-10, 6, 0, 9],\n [10, -2, -8, 3],\n [8, -5, 1, -7]]\nB =\n[[9, -9, -10, -5],\n [-8, 2, -4, 9],\n [-5, 4, 8, 8],\n [-9, -5, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1642", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 0, -9, -6, 9, -10],\n [10, -6, 7, -2, 7, 7],\n [-5, 6, 4, 6, -5, 10],\n [-7, -4, 5, 3, -8, 10]]\nB =\n[[-2, -1, 7, -1, -1],\n [4, -2, 9, -1, 7],\n [9, 5, -4, -5, 9],\n [-4, 3, 5, -1, -9],\n [-2, -1, -2, 3, -8],\n [-10, 0, -9, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, 7, 2, 8],\n [-5, 4, 2, -9, 5],\n [7, 0, -3, -6, 2],\n [-3, -7, -7, -5, 0],\n [-8, 0, 6, -9, 3]]\nB =\n[[-8, -10, -7, 5],\n [-2, -7, -7, -2],\n [-9, 4, 10, 0],\n [7, -1, -8, 7],\n [6, -3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, -10, -10, -7, 7, 6],\n [-2, 0, 5, -7, -2, 2],\n [-9, -7, -6, -5, 6, -10],\n [-2, 3, 3, 7, 9, -6],\n [8, -7, 10, -8, -5, 5]]\nB =\n[[4, -8, 9, 8, -8],\n [-3, -9, 2, -2, 10],\n [-8, 9, -10, -8, -3],\n [-4, -6, -2, -6, -2],\n [-3, -10, 3, 4, -9],\n [-8, -1, 0, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 7, 9, 8, 0],\n [-5, -3, 10, 2, 9],\n [1, 9, 10, 10, 0],\n [-6, 3, -9, -6, -8]]\nB =\n[[1, -5, -3, -5],\n [8, -5, 9, 8],\n [9, 1, 6, 9],\n [0, -2, -8, -9],\n [0, -9, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "778", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -6, 0, -7],\n [6, 10, 7, 5],\n [3, 5, -4, 5],\n [-1, 3, 9, 1]]\nB =\n[[10, 1, 6, 9, 0, -8],\n [2, 8, 3, -10, 6, -4],\n [10, 3, -10, 10, 6, 1],\n [-5, 6, 4, 10, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 2, 2, 0],\n [-10, 0, 8, -1],\n [1, -5, -6, 5],\n [-3, -9, 4, 10],\n [8, 10, 7, 7],\n [4, 1, 3, -6]]\nB =\n[[-5, 6, -3, -6, -3],\n [-2, -2, -8, -6, 4],\n [-2, -7, 8, 7, -2],\n [9, -7, -4, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1716", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[0, 8, -3, -4, -9, 10],\n [7, 8, 8, 4, 9, -1],\n [5, 2, 8, 5, -6, -7],\n [-2, 3, -8, 7, 7, 3]]\nB =\n[[-7, -10, 4, 2, 4, -3],\n [-8, -1, 4, 7, -2, -7],\n [5, -3, -8, -5, 6, 2],\n [-10, -1, -4, 10, -4, -5],\n [-5, 1, -7, 8, 4, -6],\n [8, 7, -8, 5, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -8, -5, -2, 2],\n [-4, -5, 10, 4, 2],\n [-2, 0, -8, 8, 8],\n [0, 6, 7, -7, -9],\n [8, 10, 2, -10, 3]]\nB =\n[[-7, -9, 3, -5],\n [1, -8, -6, -3],\n [3, 10, -7, -4],\n [-8, 5, -7, -4],\n [-5, -6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, -9, 9, -4, -3, 0],\n [8, 6, 0, -5, -9, -5],\n [10, 0, -8, -6, -2, -10],\n [6, 10, -6, -4, -6, -1]]\nB =\n[[-9, -4, 5, -10, -10, 6],\n [6, -2, -3, 7, 6, 2],\n [-7, -1, -7, 8, -3, 6],\n [8, -9, -7, 4, -2, 4],\n [-8, -7, 8, 8, -6, 3],\n [3, 3, -7, -7, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 2, 0],\n [-8, 3, 9, -4],\n [-3, 5, -1, -5],\n [-10, -7, 5, -6]]\nB =\n[[0, 9, 3, 6],\n [-4, 3, -10, 4],\n [-9, 7, -9, 6],\n [-7, -2, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 10, -1, -10, -4],\n [-4, 5, -4, -7, 2],\n [-10, 3, 8, -10, 3],\n [-6, 8, -7, 9, -7],\n [9, 6, -1, 4, 9]]\nB =\n[[-9, 10, 7, -10, 5],\n [-8, 6, 6, -4, 2],\n [2, 7, -7, -9, 7],\n [-10, 4, -5, 1, 1],\n [9, -8, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 8, -5, -10],\n [-6, -3, -3, -2],\n [2, 7, -5, -2],\n [6, 6, 2, 5]]\nB =\n[[2, -3, -7, 7],\n [9, -3, 9, 0],\n [-1, 5, -1, -8],\n [6, 3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 9, -8, 7, 6, 2],\n [8, 3, 8, 2, 5, -9],\n [-4, 10, 7, 5, 3, 5],\n [4, 10, -2, -5, -10, -5],\n [-2, -9, 0, -6, -9, 6]]\nB =\n[[-10, -8, 9, -6],\n [1, -10, 6, -9],\n [-8, -7, 10, 0],\n [-1, -7, -10, 2],\n [-1, -4, 8, -4],\n [-10, 7, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, 2, 4, -6, 9],\n [-7, -10, -3, 9, -10, -10],\n [8, -1, -1, -1, -5, -2],\n [-2, -9, -8, 0, 0, 7]]\nB =\n[[-7, 1, 6, -9, 2, -5],\n [5, -5, 10, 2, -6, 6],\n [8, -9, -8, 0, -6, -7],\n [-7, 3, 10, -2, -9, 7],\n [-2, 8, 5, -5, 9, -2],\n [0, 4, -2, -1, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 5, -10, -1],\n [-6, -7, 8, 0],\n [10, 3, -4, 6],\n [-6, 10, 7, 4],\n [10, 1, 3, -5],\n [-8, 10, -6, -1]]\nB =\n[[5, -9, -10, -4, -2, 8],\n [-6, 10, 6, -9, -10, -8],\n [-2, -2, 3, 9, -9, 6],\n [1, -6, 1, -2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[5, -7, -2, 1, -3, 6],\n [8, 7, -8, 2, -3, -6],\n [-10, -2, -9, -10, -2, 3],\n [7, 5, -9, -8, -9, -1]]\nB =\n[[3, -3, 6, -4],\n [9, -4, -2, -4],\n [-9, -4, 10, 4],\n [-3, 3, -4, -9],\n [9, -10, -8, -1],\n [0, 7, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -4, 3, -4, -9, 8],\n [-3, -7, -10, -1, -1, -5],\n [8, 10, -10, -10, 3, -8],\n [4, 4, 5, -1, 7, -10]]\nB =\n[[9, 6, 3, -3, -5, 4],\n [-1, 5, -5, -3, -3, -4],\n [-5, 5, 4, -8, -4, -2],\n [4, 6, -1, -8, 1, 0],\n [8, -7, 4, 10, 5, 2],\n [-3, -2, -4, 8, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, 6, -7, -7],\n [7, -3, 8, -7, 7],\n [3, 1, 1, -8, 8],\n [-5, -6, 1, 7, -3],\n [-5, 5, -10, -10, -1]]\nB =\n[[7, 9, 3, 7, 6, 1],\n [0, -5, -9, -2, 2, -8],\n [5, 8, 0, 4, 9, 6],\n [1, 0, 1, 8, -8, 4],\n [-5, 6, 1, 8, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, 4, -1, -2],\n [-5, 4, -7, 6, -2],\n [-1, -1, 6, 7, -10],\n [-4, 2, -8, 5, 4],\n [1, -4, -1, -4, 8],\n [-10, 2, -5, -4, -7]]\nB =\n[[2, 6, 5, 4],\n [-6, 3, -7, 2],\n [-8, 6, -4, -8],\n [-6, 3, -6, 7],\n [-2, -3, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "998", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -4, -3],\n [-10, 9, -4, -3],\n [-2, -6, -4, 4],\n [6, -1, 9, 2],\n [10, -10, -10, -8],\n [0, 7, -9, 9]]\nB =\n[[8, -9, -4, 3],\n [5, 4, -6, 3],\n [-2, -6, 2, 9],\n [-2, 10, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-2, -1, 0, -3],\n [6, -6, 1, -1],\n [0, -10, -4, -10],\n [-4, 1, 7, 1],\n [0, 8, -9, 6]]\nB =\n[[-6, -6, 10, -2],\n [-7, 10, -9, 5],\n [9, 0, -7, -5],\n [-6, -2, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -10, -5, -1],\n [-8, -5, -4, -4],\n [3, 9, 10, 5],\n [5, -10, 6, 6],\n [4, -4, -4, 2]]\nB =\n[[0, -6, 6, 10, -7, 5],\n [-6, -10, 3, -4, 8, 1],\n [1, -2, 3, 9, -3, 3],\n [3, -4, 5, 10, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 3, 6, -7, 0],\n [9, -5, 10, 7, 1, 4],\n [7, -7, 0, 9, -10, 9],\n [-9, -2, -1, 4, -1, -5],\n [-5, -4, -8, 7, -8, 3]]\nB =\n[[4, 5, -9, -7],\n [-8, -10, 0, -2],\n [-2, 1, 5, -7],\n [9, 7, -6, 2],\n [3, 3, 8, -8],\n [-6, -3, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -1, 7, -2],\n [-10, 9, 6, 0, 0],\n [5, -2, -7, -9, -10],\n [6, 7, -3, 6, 4],\n [-9, -9, -9, 1, -2],\n [8, 6, 4, -5, -6]]\nB =\n[[-9, -3, -6, 2, 3],\n [10, -7, 10, 6, -5],\n [-2, 4, 4, 2, -4],\n [10, 0, 2, 0, 3],\n [-8, 9, 6, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, 1, -4, -4],\n [-6, -8, -6, 10, 6],\n [8, 0, -8, -3, 4],\n [8, -4, 0, 3, -7],\n [-6, -10, 4, -9, 1]]\nB =\n[[5, 10, -8, -8, 8, -1],\n [-5, -4, 9, 2, 9, -5],\n [3, 8, -3, 3, 10, -7],\n [0, 7, -4, 6, -5, -1],\n [4, 0, 4, 5, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, -5, -7],\n [-7, 7, -3, -3],\n [1, 8, -8, -7],\n [0, 5, 6, -10],\n [-2, -1, 6, 1],\n [-3, -10, 0, -3]]\nB =\n[[10, -5, 10, -8],\n [4, -5, -1, -4],\n [6, 5, 6, 3],\n [-6, 7, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[0, -8, 3, -10],\n [6, -9, -1, -8],\n [6, -3, -3, 1],\n [5, -6, -7, -2],\n [9, 7, -2, -6]]\nB =\n[[-9, 10, 0, 6, -9, -5],\n [-9, 5, 9, -7, 3, 6],\n [5, 4, 0, 9, -7, -6],\n [9, 0, 9, 2, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -10, 7, 5, -8],\n [2, 5, -6, 7, -9],\n [3, -7, 6, -10, 2],\n [6, -10, -7, 10, -10],\n [-3, 5, 2, 5, -6]]\nB =\n[[-1, -4, -10, 1, -2, 1],\n [-5, 7, -3, 1, 10, 7],\n [-7, 9, -6, 1, -2, 4],\n [5, -8, -4, 0, 6, 2],\n [7, 9, 4, -6, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-981", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 10, 1, -10],\n [-8, 7, -8, 6, 10],\n [-7, 5, 7, 2, -5],\n [-6, 9, 2, -5, 6]]\nB =\n[[2, -4, 5, 0, 9],\n [9, 4, 4, 6, 9],\n [7, 4, 1, 4, -2],\n [-10, 7, 5, -3, -9],\n [-9, -3, -3, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1306", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[7, 8, 3, 3, 4, 8],\n [-1, 9, 1, 4, -2, 7],\n [-10, -9, -6, 8, -2, -7],\n [-6, 0, -6, 8, 4, 2],\n [-8, 2, -10, -5, -7, -2]]\nB =\n[[-4, 10, 6, 5, -8],\n [4, 1, 5, 5, 0],\n [7, -7, 8, 3, 1],\n [0, 7, 2, 6, -2],\n [-4, -6, 2, 9, 8],\n [-9, -8, 1, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 5, 7],\n [3, 3, -9, -10],\n [8, 8, 8, 8],\n [-3, 0, 10, 0],\n [-1, 9, -2, 3],\n [-6, 8, -1, 1]]\nB =\n[[-7, -3, 0, 8, -6],\n [-1, -8, -10, -10, 3],\n [-1, -3, -5, -1, 4],\n [-3, 2, 3, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -6, -2, 4],\n [10, -6, -9, 0],\n [0, 3, -10, -10],\n [9, 6, 4, 6]]\nB =\n[[8, 6, -9, 1, 1, -9],\n [0, 6, -7, -3, -8, 10],\n [3, -1, 8, -7, -6, -9],\n [-3, 5, 7, 9, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -7, -7, -2],\n [-8, -2, 9, -10],\n [10, -9, 7, 3],\n [10, -5, -6, -7]]\nB =\n[[3, 3, 6, 4, 2],\n [-3, 8, -8, 10, -6],\n [-7, -5, -8, -10, 5],\n [5, 1, 0, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 10, 2, -2, -1, 2],\n [10, 5, -8, -3, -7, 2],\n [-6, -3, 5, -2, -5, 3],\n [-5, 10, 0, 3, -1, 3],\n [-7, 5, -1, -5, 2, 7]]\nB =\n[[10, -8, 10, -8, 9, -10],\n [-5, -2, 6, -4, -4, -2],\n [7, -4, -5, 0, -3, -6],\n [4, -1, 2, -10, 7, 2],\n [-10, -3, -3, 10, -1, -1],\n [10, -10, -7, 10, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -2, -9, -6, 3, 7],\n [2, 7, -2, 2, -4, -7],\n [2, 3, 0, -10, -9, 2],\n [-10, 4, 7, 8, -6, 0]]\nB =\n[[4, 0, 1, 4, -3],\n [-6, -6, 2, -6, -9],\n [3, 2, 7, -3, -8],\n [7, -1, 7, -6, -9],\n [-10, -7, -7, -3, -9],\n [-8, -1, 10, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, 10, -10, 7],\n [-9, -8, -1, 8, -6],\n [-7, 5, -7, -1, -6],\n [-8, -1, -5, -7, -10],\n [5, 4, 10, 3, 2]]\nB =\n[[2, 2, 6, 3],\n [8, 3, -4, -9],\n [-5, 0, 2, 6],\n [-10, -1, -4, 5],\n [-1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -9, -2, 5, 9],\n [8, 9, -8, 5, 4],\n [-7, 1, -1, -1, -6],\n [-4, -3, -3, 5, 2],\n [-3, 2, -6, -8, 5],\n [3, 3, -10, 10, 4]]\nB =\n[[7, 6, 0, -1],\n [-8, -1, -6, -8],\n [10, -8, -8, -4],\n [10, -6, 4, -9],\n [1, -1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 9, 0, -2, 5, 9],\n [-10, 3, 8, -10, -10, 4],\n [-9, -10, 6, -8, 10, -10],\n [2, -1, 5, 2, -7, 2],\n [5, -10, 0, -2, 1, -6]]\nB =\n[[3, 0, -10, 9, 6, 8],\n [3, 0, 8, 2, -10, 9],\n [10, 7, 2, -7, -3, -7],\n [-8, 7, -1, -8, -7, -6],\n [7, 9, 4, -5, 8, 3],\n [4, 5, 4, 8, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2482", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -9, -7, -10],\n [-7, 2, 1, 0],\n [5, 8, 9, -8],\n [-3, -6, 10, 8],\n [10, -3, -3, 5]]\nB =\n[[-8, 10, 8, 2],\n [-3, -8, -8, -10],\n [-6, -4, -5, 5],\n [4, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[2, -1, 1, -7, 10, 4],\n [5, -6, -10, -9, -8, 6],\n [3, 2, 2, -10, -1, 8],\n [1, 4, 1, 6, -6, 4],\n [1, -3, 3, 4, -7, 10],\n [6, -8, -5, 9, -2, 2]]\nB =\n[[-2, 10, -9, -3, -2, 6],\n [-3, 6, 3, 6, -2, -3],\n [-4, -6, -4, 3, 3, -8],\n [3, -2, 0, -9, 7, 4],\n [-9, -9, -5, 4, 10, 3],\n [-4, -3, -7, -5, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 9, -2, -5, -8],\n [-4, -4, 2, 10, 3],\n [-1, 9, 0, 1, 2],\n [-4, 8, 1, 4, -4]]\nB =\n[[-2, 4, 3, -7, -3],\n [-1, 10, -4, -2, 4],\n [10, -6, 9, 9, 0],\n [-7, 10, -3, -5, 6],\n [-9, 0, 5, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[3, 10, 6, 0],\n [-7, 4, 4, -1],\n [6, 10, -10, 10],\n [-3, -2, -7, 1]]\nB =\n[[-3, 0, -4, 6],\n [-3, 7, 10, -9],\n [2, -9, 1, 0],\n [-6, -5, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -8, 7, -10, 7, 5],\n [-3, -2, 10, -8, 5, -3],\n [-7, 2, -3, -10, 5, -3],\n [-5, 7, -1, 6, 3, 4]]\nB =\n[[0, -4, -3, -3, 3],\n [-9, -6, -2, 4, -7],\n [-3, 1, 1, -5, 10],\n [-4, 2, -7, -6, -5],\n [3, 10, 0, 3, -7],\n [1, -9, 0, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1439", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-6, 10, 7, -3, 7, 2],\n [6, 4, -3, 0, -4, -8],\n [-1, -9, -4, 5, 5, -10],\n [0, 1, 2, 2, 2, 8],\n [7, 7, 8, 10, -4, -4],\n [-6, -9, -10, 1, -7, 4]]\nB =\n[[-4, 7, 0, -5],\n [-3, -1, -4, -8],\n [1, 3, 9, -8],\n [10, 9, -4, 2],\n [6, -5, -4, -7],\n [-9, -6, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-3, -10, 5, 9],\n [-4, -10, -9, -2],\n [-4, -8, 6, -1],\n [0, 9, -8, -9],\n [4, 10, -1, 5]]\nB =\n[[7, -5, 7, -5, -10],\n [7, 1, 3, -2, -4],\n [-9, 10, 0, -1, 5],\n [3, -6, -2, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[0, 1, -10, -10],\n [8, 4, 5, -4],\n [6, 6, 6, -6],\n [-6, 5, -5, -7]]\nB =\n[[8, 6, 5, 3, 1],\n [-6, 9, 9, -5, -9],\n [-8, 6, -6, 8, 1],\n [0, -9, -4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, -8, -9, 3],\n [5, -9, 1, 2, -2],\n [1, -5, -10, -4, -10],\n [-3, 7, -6, 4, -8],\n [-6, 3, 7, -9, 8],\n [2, 5, 2, 2, -8]]\nB =\n[[-4, -10, 5, 5, -10, 3],\n [-1, 1, -4, -5, 6, -2],\n [2, 1, 0, 8, -10, 4],\n [-10, -8, 10, 7, -2, -5],\n [0, 8, 8, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2195", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, -6, 2, -1],\n [4, 6, 5, -9],\n [3, -10, 8, 5],\n [1, -10, -6, -6]]\nB =\n[[8, 5, 8, 7],\n [2, 9, 10, -2],\n [-4, -7, -6, 4],\n [-8, -3, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, -10, -10, -5],\n [7, 10, -7, -9],\n [9, -2, -6, -1],\n [1, -10, 1, 0],\n [9, -2, 1, 6],\n [5, -6, 0, 5]]\nB =\n[[0, -3, 10, -6, -4, 3],\n [-4, -7, -4, 2, -6, 10],\n [9, 0, 10, 2, -6, 1],\n [-6, 3, 5, 7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -7, -2, 6],\n [2, -2, 10, 3],\n [-4, -8, 4, 10],\n [-5, -1, -1, -4]]\nB =\n[[9, 9, 4, -10, -5, 8],\n [6, 3, -7, 3, -7, 3],\n [-2, 10, -10, 2, -8, 5],\n [5, 2, -3, 8, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 4, -10, -5, -9],\n [1, 2, 9, 4, 9],\n [5, -2, -9, 6, 6],\n [-7, -10, -8, 3, -10]]\nB =\n[[2, 2, 0, -9],\n [7, 8, -9, -2],\n [0, 1, 3, 4],\n [3, 6, 9, 3],\n [10, -2, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -4, 5, -6, -2, -3],\n [-10, 0, 10, 0, 9, -2],\n [-3, -10, 2, 5, -2, 7],\n [9, -1, -1, 6, 9, 2],\n [10, -8, 7, 10, 5, 7]]\nB =\n[[6, -1, -3, -7],\n [2, -1, -7, -2],\n [2, -1, -7, 9],\n [-1, 6, -3, -9],\n [-7, -10, 8, -4],\n [8, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1094", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 0, 7, -1],\n [-3, 4, 0, 7],\n [2, -7, 1, -8],\n [-3, -5, 9, 4],\n [-3, -2, -10, 10],\n [-2, 1, 5, 3]]\nB =\n[[5, 9, 10, 3, 4],\n [8, -1, -5, 6, -5],\n [-10, -10, 7, 8, 4],\n [4, 8, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, -9, -1, -10, -5],\n [8, 0, 1, -5, -8, 4],\n [-8, 1, -3, 2, -6, -3],\n [6, -7, -8, 3, 0, -7],\n [3, 10, -10, 10, -10, -9]]\nB =\n[[2, 3, 10, 7, 0],\n [-10, -6, 3, 10, -3],\n [-2, 2, -7, 8, 4],\n [3, -5, 1, -6, 4],\n [0, -8, 0, 2, 8],\n [-6, 7, -4, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1786", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -6, 0, -9, 0, -7],\n [6, 6, -5, 7, 3, -8],\n [7, -2, -9, 1, -1, -3],\n [1, 5, -2, 4, -9, 3],\n [-9, 2, -1, 4, 0, -1],\n [8, -3, -2, 7, -8, 10]]\nB =\n[[-3, -5, -10, -3, 5, -3],\n [7, 1, 3, -8, -2, -3],\n [-9, -3, 10, 7, -9, -5],\n [8, 9, 5, -6, -9, 10],\n [3, 7, 9, 2, 10, 2],\n [5, -6, 2, 7, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-5, -9, 7, 3, 1, 7],\n [2, 3, 10, -5, -5, 1],\n [-4, -5, 9, 8, -1, 9],\n [-9, -9, 4, -2, 9, 5],\n [-7, -6, 8, 5, 7, 6],\n [0, -7, 7, -3, 8, 6]]\nB =\n[[2, -7, -10, 9],\n [-2, -6, 0, 3],\n [0, -8, -10, 3],\n [-3, 10, 4, 6],\n [1, -4, -1, -7],\n [-6, -4, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 2, -3, 7, -3],\n [7, 0, -3, 5, -2],\n [5, -9, -10, -2, -3],\n [-1, 6, 10, 2, -7],\n [-5, 1, -6, -1, -9],\n [5, -3, 1, 3, 2]]\nB =\n[[4, 2, 1, -2, 6, -3],\n [7, 6, 7, -2, 10, -2],\n [3, 10, 3, -1, 4, -8],\n [-5, -5, -10, 5, 6, -2],\n [-1, 5, 10, -4, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -10, -2, -6, 8],\n [-5, 8, 8, -7, 10],\n [2, -3, -8, 6, -6],\n [-5, -6, -9, -6, -8],\n [-4, -8, -4, 2, 8],\n [-2, 2, -7, -6, 10]]\nB =\n[[-5, -1, 1, -5, 8, -8],\n [-5, 2, -5, -6, 8, -9],\n [-6, -10, 4, -5, -10, 4],\n [10, -6, -10, 6, -2, 5],\n [-1, 3, -1, 8, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "766", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -9, 5, 0, -5, 4],\n [-7, -3, 5, 5, 6, -9],\n [9, 6, -4, -3, -4, -9],\n [-3, -9, -7, 4, -3, -8],\n [0, -5, 9, -6, -2, -8]]\nB =\n[[3, 1, -7, 0, -1, 6],\n [3, 6, -6, 2, 5, 7],\n [2, -5, 3, 4, -5, -7],\n [0, 4, -1, 10, -2, -9],\n [3, -7, 3, 6, 6, 7],\n [-8, 1, -9, -9, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, -10, 5, -5, -10, 8],\n [2, -4, -5, -4, 6, -6],\n [9, 6, -7, 5, 10, -9],\n [-9, 2, 6, 3, 9, 2],\n [-3, 8, 4, -6, -6, -10]]\nB =\n[[-10, 10, 10, 10, -2],\n [6, -2, 10, 5, 6],\n [-5, -3, -9, -4, -7],\n [-1, -10, 4, 9, 7],\n [-1, -2, 7, 2, 5],\n [-8, 9, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -1, -6, 9, 5],\n [-5, 0, 5, 10, 7],\n [-2, -8, 3, 6, 3],\n [-2, -4, -1, 2, -2],\n [6, -3, -1, 5, -4]]\nB =\n[[2, -6, -4, 7],\n [7, -8, 8, -1],\n [5, 6, 3, -4],\n [9, -1, -4, 4],\n [-7, 4, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "803", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 10, -3, 8],\n [-10, 8, -3, 6],\n [-1, -6, 8, 8],\n [9, -1, 2, -6],\n [-8, 7, -10, -3],\n [4, 5, 6, -5]]\nB =\n[[3, -7, 7, -8, -7],\n [8, 5, 6, 0, 4],\n [-4, -2, 4, -2, 2],\n [-10, 9, 10, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2077", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 0, -3, 3, 3],\n [-7, 2, -10, 0, -8],\n [-6, -1, 7, -4, 10],\n [1, 9, 5, 1, 4],\n [-6, 9, 5, -10, 2],\n [8, 0, -10, 0, 10]]\nB =\n[[6, -4, -8, -3],\n [-7, -8, 10, 9],\n [8, -10, 8, 8],\n [3, 3, -7, 4],\n [4, 4, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 0, 7, 7, -7],\n [-8, 5, -1, 8, 6],\n [3, -1, -10, -9, 8],\n [-4, 4, 9, -7, 1]]\nB =\n[[8, 0, 3, 8],\n [5, 1, -4, 7],\n [2, 3, -1, -10],\n [2, 7, 5, 1],\n [10, 4, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "795", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 7, -7, 1, -4],\n [-4, -4, 7, 0, 1],\n [-4, -6, 4, 0, 3],\n [-9, -9, -1, 5, -5],\n [9, 8, 7, 2, -6],\n [10, -10, -5, 5, 7]]\nB =\n[[-9, 7, 10, -10, 8],\n [-7, -3, 9, 6, -6],\n [10, 5, -8, -7, -9],\n [-9, -10, 1, 2, -2],\n [7, 4, -1, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -4, -5, -1, 4],\n [2, 5, 5, -10, 6],\n [-4, 10, -10, -10, -2],\n [9, 4, 4, 9, 8],\n [-9, 1, 2, 1, 10],\n [-1, -5, -2, -8, -4]]\nB =\n[[9, 2, -1, 0],\n [-6, -2, 5, 10],\n [-6, 1, 7, 7],\n [-4, 10, 1, -4],\n [3, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-6, 8, 7, -4, -4],\n [-1, 9, -7, 2, 0],\n [3, 4, 8, -7, -4],\n [-9, -6, 5, -4, -9]]\nB =\n[[7, 3, -4, 4, 0],\n [9, 2, 9, -6, -9],\n [2, 2, -5, 7, 9],\n [9, -10, 2, 8, -5],\n [9, -5, -3, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 6, 3, -3, 5],\n [-4, 4, 6, -4, 0],\n [6, -1, -5, -10, 9],\n [2, -6, 10, -4, -5]]\nB =\n[[3, 3, 2, 2],\n [-6, 6, 0, 4],\n [-7, -5, 10, 4],\n [-9, -10, 7, 1],\n [7, 9, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1225", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -8, 9, -10],\n [1, -5, 6, -8],\n [7, 7, 0, 0],\n [-3, -10, 10, -9],\n [1, 7, 4, 6]]\nB =\n[[-2, 8, -3, -5, 2, 6],\n [-8, -8, 8, 10, -3, 3],\n [-3, -1, 9, -10, -9, -7],\n [0, -1, 0, 9, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 9, -10, 9, 2, -8],\n [6, 0, -4, 9, -2, 8],\n [-2, 7, 7, 0, -4, -7],\n [1, 4, -4, 8, 10, -6],\n [8, -7, 10, 0, 5, -2]]\nB =\n[[-4, -5, -3, 3],\n [-10, 2, 0, -4],\n [-8, -1, 6, -8],\n [-10, -9, 5, -4],\n [6, 9, 1, -7],\n [-4, 10, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "887", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, 8, 9, 7, 3],\n [1, 2, -10, -6, 1, 2],\n [7, 10, -10, 10, -8, -7],\n [-1, 6, 2, -4, -4, -9],\n [-10, 0, -1, -3, 3, 3]]\nB =\n[[2, -5, -10, 0],\n [-9, 10, -5, -4],\n [-1, -8, 3, -4],\n [3, -7, -2, -5],\n [-1, -9, -2, -1],\n [-9, 10, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 10, -1, 0, 7, -7],\n [8, 4, -10, 5, 8, -3],\n [-4, 4, 6, 3, 4, 9],\n [-10, 3, 7, 6, 6, 3],\n [-7, -5, -2, -4, -10, 4]]\nB =\n[[-1, 2, -4, -1, -1, -8],\n [-6, 9, 1, -7, -1, -1],\n [9, -6, 1, 6, 2, 10],\n [10, -1, 10, -2, 2, 10],\n [7, 7, 8, 9, -5, -6],\n [-1, -1, 9, 4, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2469", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 2, 1, 5, -10],\n [3, -3, -1, 8, 4],\n [-5, 6, 3, 5, -6],\n [1, 2, 8, -6, 1]]\nB =\n[[3, 6, 7, -1],\n [-9, 9, -10, 8],\n [10, 9, 9, -3],\n [-3, 0, 8, 7],\n [-4, -1, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 4, -3, 10, -9, -7],\n [4, -10, 5, -10, 10, 10],\n [9, -7, 0, -4, -6, -3],\n [-4, -3, 0, 2, -2, 10],\n [-6, -8, 7, 6, 5, 9]]\nB =\n[[6, 6, -10, -9, -3],\n [3, -4, 8, 3, -3],\n [0, 4, -1, 6, 6],\n [0, 2, -1, -8, 1],\n [-9, 8, 1, 6, 8],\n [2, -1, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 9, 3],\n [2, 8, -4, 2],\n [3, 6, -10, -8],\n [3, -8, -1, 3],\n [-7, -7, 2, 6]]\nB =\n[[-2, 7, 10, -10, -4, 2],\n [-2, -1, -10, -1, 0, 5],\n [1, -8, 3, -4, -8, 1],\n [2, -4, 6, -8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 7, 5, -3, 3, 6],\n [0, -8, 8, 6, -1, -5],\n [2, 5, -9, 4, -4, 3],\n [9, 1, 4, 6, 7, 3]]\nB =\n[[9, -7, 9, -10, 1, 4],\n [-2, 1, 10, -6, -8, -4],\n [5, -3, -4, -1, -8, -3],\n [8, -8, 9, -10, 1, 7],\n [0, -6, 8, 5, -7, 1],\n [3, 4, 9, -2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, 2, -9, -4],\n [-6, 1, 9, 9, 1],\n [3, -7, 3, -1, -5],\n [8, 8, -7, 8, 3],\n [7, 10, 5, 5, 2]]\nB =\n[[-4, -5, 9, 1],\n [-9, -8, -2, 0],\n [4, 8, 7, 10],\n [6, 1, -3, 4],\n [-2, -10, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -8, -7, 10, 0, -7],\n [8, 3, 4, 5, -8, 0],\n [-7, -5, -8, -3, 0, 1],\n [-4, -3, 8, 10, 2, -8]]\nB =\n[[-6, -2, -2, 2, -3],\n [-4, -2, 5, -10, -5],\n [-3, -1, 4, -2, 10],\n [-2, -6, 4, -1, -2],\n [4, -2, -2, -9, 6],\n [-7, 5, 3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[10, 8, 4, 2],\n [7, -2, -8, 0],\n [0, -6, 2, 9],\n [4, 5, 5, -9]]\nB =\n[[10, 5, -8, 5, -8],\n [-7, -7, -4, 2, -5],\n [-9, 8, -2, 5, -2],\n [9, -5, -6, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 4, 4, -6, 2],\n [8, -1, -9, 8, 3],\n [-7, 0, -9, 0, 0],\n [6, 0, -6, 9, -3]]\nB =\n[[8, 7, 10, 3],\n [10, 0, -2, -6],\n [0, 6, -4, -9],\n [3, 4, 1, 5],\n [-6, -7, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1219", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -4, -3, -9, -3, 7],\n [1, 5, 3, -5, 7, 1],\n [-1, -3, 0, 5, -10, -1],\n [0, -7, 3, -10, -4, 3],\n [-6, 9, -7, -3, -5, -2]]\nB =\n[[-3, 6, -5, 9, -2],\n [-8, 7, 10, -6, 10],\n [-9, -9, 8, 4, -6],\n [6, 0, -10, -10, 7],\n [-4, 9, 10, -9, -7],\n [2, 6, 1, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, -1, 1, 8, 2],\n [-8, 5, -4, 10, -3, -8],\n [4, 1, -4, 7, -3, -6],\n [-5, 10, -4, -7, -7, 0]]\nB =\n[[10, -9, 6, 9, -5],\n [-2, -3, 4, 5, -5],\n [5, -4, 3, 6, 0],\n [-1, 1, -5, 5, 7],\n [3, -9, -8, 6, -4],\n [-10, -6, -5, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[3, -9, 2, -1, 1],\n [6, 1, -7, -9, -10],\n [-8, 8, -3, 2, 5],\n [3, 10, 5, -1, -8],\n [-1, 9, 3, -1, -4]]\nB =\n[[-10, -1, 8, -9],\n [8, 3, 2, 4],\n [-3, 7, 5, 0],\n [-10, -8, 0, -4],\n [-7, -8, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, 4, -8, -8, -1, -3],\n [-9, 2, -4, -8, -5, 3],\n [-10, -10, 2, -5, 5, 6],\n [4, -6, -6, -3, -8, -1],\n [5, 4, 4, -7, 9, -6],\n [9, -10, -4, -9, 4, 9]]\nB =\n[[7, 8, -8, -4, 9, -6],\n [-6, -2, 7, -3, 7, -3],\n [1, -8, -9, 6, -4, -7],\n [1, -10, 9, 8, 1, 6],\n [5, -10, 5, -6, 0, 10],\n [4, -9, -5, 3, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -5, 8, 8, 7, 6],\n [-8, -2, 1, 1, 2, 6],\n [10, -5, 10, 5, 3, 10],\n [-7, -9, -7, -2, -3, -9],\n [5, -8, 9, 1, -5, 3]]\nB =\n[[-8, -3, -7, -1, 8, -6],\n [10, 7, 8, 3, -6, 3],\n [-7, 1, 6, -7, -10, 3],\n [-8, 7, -1, 10, 4, -2],\n [-3, -10, -1, 10, -4, -6],\n [2, -4, -10, 3, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2461", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -6, 8, 1, -3, -4],\n [5, -6, -5, -10, 7, 7],\n [2, -4, 8, 6, 3, 4],\n [-9, 5, -2, -9, 1, 8]]\nB =\n[[-3, 7, 2, -10, -7],\n [10, 3, 0, -1, 7],\n [3, 10, 4, -6, 3],\n [-8, 9, -10, 5, -2],\n [7, -3, 1, 1, 10],\n [3, -5, -4, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 1, 10, -6],\n [3, 3, -9, 9],\n [-5, -7, 7, 9],\n [-8, 0, -10, 1],\n [1, -5, 10, 2],\n [2, -4, -6, -5]]\nB =\n[[5, -3, 9, -4],\n [-9, -3, -5, 10],\n [10, 2, 5, -5],\n [-6, -3, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1670", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -10, -1, 4],\n [-5, 6, -9, -4],\n [-7, 9, -6, -8],\n [-7, 0, -8, 3],\n [-3, 5, -6, -9]]\nB =\n[[-4, 4, 8, 1, -4],\n [9, 3, -8, 8, 3],\n [1, -3, -6, -8, -8],\n [-8, 0, 2, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "751", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -2, -10, 10, -6],\n [-6, -8, -4, -7, -8],\n [3, 4, -2, 3, -7],\n [5, 10, -6, 2, -6],\n [10, 6, 5, -8, -7],\n [-2, 3, 2, -7, 2]]\nB =\n[[10, -8, 8, -9, -3],\n [9, 0, 10, 7, -9],\n [-8, 9, -6, 4, -6],\n [10, -3, -2, 8, 4],\n [-8, 7, -5, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2809", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -8, -5, 6, 2],\n [1, 3, -9, 7, -9],\n [-8, 4, -8, 2, 6],\n [-5, -3, -5, 5, -8]]\nB =\n[[-2, 4, 7, 3, 7, -5],\n [7, -2, 0, 3, -5, -4],\n [-8, 0, -10, 1, 3, 9],\n [0, 6, 0, 2, 6, -6],\n [10, 10, -8, -5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -10, 1, 6, -4, -2],\n [-3, -2, 10, -4, 4, 7],\n [-6, 6, -8, -9, 8, 6],\n [-8, 5, -2, 8, -9, 10]]\nB =\n[[-1, -10, -10, -6],\n [4, -3, 3, 8],\n [-6, -1, 6, -6],\n [10, 9, -4, 2],\n [2, -4, 1, -10],\n [-6, 2, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1247", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -3, -7, 8],\n [10, 9, 9, -10],\n [-4, 1, -4, 1],\n [3, 1, -6, -2],\n [-8, -1, 8, 1]]\nB =\n[[-5, -2, 7, -8, -9],\n [-2, 5, 10, -9, -3],\n [8, 0, -2, -2, -1],\n [-9, 4, 9, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -8, -2, 3],\n [6, 2, -6, 10],\n [1, 3, 0, 7],\n [4, 2, -6, 9],\n [0, 2, 0, 2]]\nB =\n[[4, 9, -6, -4, -8, -2],\n [5, -2, 8, 4, 9, 0],\n [-5, 2, 4, 2, 4, -1],\n [6, 9, -3, 9, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2026", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -4, 2, 5],\n [0, 5, 6, 6],\n [5, -4, -3, 6],\n [-10, -5, -8, -7],\n [-4, 6, 3, -5]]\nB =\n[[0, -5, 5, -4, 8],\n [1, -10, -9, -6, -7],\n [-6, 1, 2, -7, -1],\n [9, -7, 3, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-5, -5, 3, -3],\n [-7, 6, -8, 8],\n [2, 4, -4, 9],\n [5, -5, -7, 0],\n [0, -10, 9, 1]]\nB =\n[[10, -4, 0, 0],\n [-4, -8, 3, 9],\n [2, -8, -7, -10],\n [-5, 7, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 3, -7, -9, 9],\n [6, -4, 4, 10, -9],\n [-4, 4, -4, 4, 6],\n [1, -7, -6, 5, -2],\n [9, 3, 4, 5, -6]]\nB =\n[[-1, 4, 6, -10, 5],\n [1, -10, -9, -3, -7],\n [3, -2, 1, 10, -10],\n [0, 2, 4, 10, 1],\n [-1, -10, -4, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 9, 7, 1, 7, -4],\n [6, -3, -8, -3, -10, 9],\n [-10, 2, 7, 7, -4, 5],\n [6, 7, 5, -7, -6, -1],\n [-4, 6, 0, -2, 2, 8],\n [-9, -6, 0, 5, 9, -4]]\nB =\n[[-2, -7, 8, -10, -10, 0],\n [-8, -6, 5, -5, 2, -9],\n [-1, 9, -7, 0, 6, -9],\n [0, 3, 4, -6, -9, 9],\n [-3, -2, 2, 10, 7, 10],\n [-8, -3, 8, -5, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -8, 4, 10, 5, 8],\n [8, -3, -1, 6, 8, -8],\n [-5, -6, 5, 3, -7, -8],\n [4, 0, -7, -8, -8, -4],\n [-2, -7, -1, -4, -1, 0],\n [2, -10, 4, -5, 9, 5]]\nB =\n[[-8, -4, 9, 0, -1, -9],\n [-3, 5, 3, -7, -7, 8],\n [-1, -2, 4, -2, -10, -4],\n [3, -9, 2, -10, 9, -5],\n [10, -10, 9, 7, 0, 9],\n [-10, -2, -7, -7, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[2, 1, -8, 6],\n [-5, 1, 3, -9],\n [-5, -9, 6, 8],\n [-4, 8, 10, -10],\n [-2, 9, -10, -9],\n [-5, -6, 0, -9]]\nB =\n[[9, 9, -10, 7, -2, 3],\n [-7, 6, 7, 5, 9, -1],\n [0, 3, 9, -9, -8, 0],\n [10, 3, 8, 2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -7, -6, 10, 7, -6],\n [-5, -8, 3, 8, 10, -3],\n [0, 0, -9, 5, 4, -6],\n [2, -7, 0, -2, -5, -6]]\nB =\n[[-10, -1, -7, 5, 6, 7],\n [6, 6, -4, 2, 9, 5],\n [9, -7, 5, -5, -10, 8],\n [-9, 3, -4, 10, 4, -4],\n [-6, 6, 10, 8, 3, 7],\n [0, 7, -10, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, 8, -9, -7],\n [-4, 7, -8, -9, 0],\n [-3, -10, 6, 10, 2],\n [7, -3, -10, -9, -6]]\nB =\n[[9, 5, 3, 2, 2],\n [8, -3, -8, -8, -3],\n [-6, 9, 8, -9, -8],\n [-9, -5, 9, 4, -3],\n [5, 9, -5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 7, 10, 10, 7],\n [6, -5, 7, 6, 5],\n [-2, 3, -3, 10, -8],\n [-5, 2, -1, -3, 8]]\nB =\n[[10, 10, 8, 10],\n [-9, -10, -10, -2],\n [-2, 0, -6, 2],\n [-5, 6, 9, 3],\n [-1, -1, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -4, -3, 4, 0, 0],\n [1, -3, 4, -1, 5, 1],\n [-5, -2, 10, -3, 0, 0],\n [5, 3, -6, 8, 5, -4]]\nB =\n[[-10, -6, 0, 1, -9, 5],\n [3, 10, 2, 8, -9, 4],\n [4, -5, -5, -9, 7, 0],\n [10, -1, -6, 1, 6, 9],\n [-8, 1, 7, 0, 4, 1],\n [4, -6, 3, 1, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 9, 4, -7, 3],\n [7, 9, 7, 8, 10],\n [-10, 2, 10, -7, 4],\n [7, -6, 5, -1, -7],\n [4, -2, -3, -3, 4],\n [-1, -2, -6, -1, 8]]\nB =\n[[7, 10, 6, -7, 3],\n [0, -4, 7, 9, 1],\n [7, 0, -5, 8, -3],\n [10, 1, 3, 8, -10],\n [-6, -2, 2, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[1, -9, -10, -4],\n [9, 2, 1, 6],\n [6, -1, -5, 2],\n [10, 1, 3, -3]]\nB =\n[[-2, -1, 0, -1, -8, -1],\n [-10, -3, 2, 7, -10, -4],\n [9, 5, 5, 10, 5, 1],\n [7, 4, -4, 8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -9, 4, 2, -4],\n [4, 2, -6, -1, 5],\n [-2, 9, 5, 5, -2],\n [-9, 10, -7, -10, -4]]\nB =\n[[-5, -7, 8, 4, 6],\n [3, -10, 8, 4, -3],\n [1, 5, -6, -5, 1],\n [4, 10, -2, -8, -8],\n [-3, 4, 2, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1238", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 1, -3, 9],\n [-5, 2, -6, -10],\n [1, -2, 2, -1],\n [-9, -7, 8, -3],\n [-4, -10, -10, -2],\n [5, 7, 9, -2]]\nB =\n[[-10, -9, -9, -8, -3],\n [7, -10, -2, -10, -8],\n [5, 7, -1, -5, -9],\n [-9, 9, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 2, 9, -7, -1],\n [5, -5, -6, 10, 10],\n [-9, 9, 8, 8, 10],\n [8, -3, 3, 5, 0]]\nB =\n[[9, -3, 3, 10],\n [6, -6, 2, 4],\n [4, 1, -4, -4],\n [-9, 10, -8, 0],\n [-6, 4, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, -2, 2, 6, -4],\n [0, 0, 1, 0, -2, 10],\n [-1, -2, -9, -7, 3, -1],\n [-8, 7, 7, -2, 9, -1],\n [-4, 1, -7, 3, -9, 8]]\nB =\n[[1, 1, 5, -3, -10],\n [1, -3, 5, 4, 3],\n [-3, -3, -9, -8, -2],\n [-5, -4, 6, 5, 6],\n [-4, 7, 10, 5, -4],\n [4, -1, -6, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -1, 10, -1, -7],\n [-8, 0, -10, -3, -7],\n [4, 3, -6, -3, 9],\n [-6, 4, -7, -5, 2],\n [8, 1, 3, -8, 4],\n [5, -7, -9, -2, 5]]\nB =\n[[2, 10, 6, -7, 5],\n [0, 7, -10, -6, 3],\n [-1, -10, -1, -7, 0],\n [-1, -1, -9, -4, 8],\n [5, -7, 4, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "807", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[6, -8, 2, 8, 5, 2],\n [3, 6, -9, -2, 4, -7],\n [-8, -9, 0, 6, 1, 1],\n [-2, -3, 9, -8, -1, 1],\n [-2, -2, 1, -1, 4, -7]]\nB =\n[[-9, 6, 4, -5, 10, -9],\n [9, -7, -4, 0, -6, 8],\n [-8, 6, -9, -10, 9, 1],\n [7, -10, -1, -5, -7, 10],\n [-9, 1, 7, -4, -8, -7],\n [-3, -10, 10, -9, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, -5, 1, 9, -9, 9],\n [10, -1, -10, -4, 6, -1],\n [-7, -9, 3, 9, -3, -7],\n [-10, 0, 1, 6, 5, 3],\n [-4, -1, 2, 2, 4, 3]]\nB =\n[[-5, 1, -4, -7, -2, -1],\n [-6, 9, -5, -3, 0, -7],\n [-1, -2, 10, -2, -6, -2],\n [-4, 1, -8, 4, 9, -1],\n [8, 7, -3, -10, -6, 7],\n [-10, 9, -6, -10, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 2, 9],\n [4, -2, -1, -3],\n [-4, 1, 9, 0],\n [10, -2, -10, 1],\n [8, -10, -3, -5]]\nB =\n[[-8, 10, -8, 6, 3],\n [-2, 10, -9, 3, 4],\n [-9, -7, -4, 8, 0],\n [5, 10, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -3, 7, 9],\n [0, -10, -2, -5],\n [8, -7, -4, -7],\n [8, -5, 3, 5],\n [0, -7, 5, -8]]\nB =\n[[4, 10, 1, -10],\n [3, -5, -1, 7],\n [4, -9, -1, -9],\n [3, -9, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 8, -2, -3, 7],\n [5, -8, -2, 9, -2, 3],\n [6, 8, -8, 7, 10, -2],\n [4, -4, -5, 4, 0, 2],\n [10, -9, -2, -6, -8, -3],\n [7, 1, -4, -9, -1, -7]]\nB =\n[[9, -3, 6, 2],\n [-2, 5, 6, 5],\n [-10, -3, 8, 0],\n [-4, -5, -1, 2],\n [-4, -5, -6, -10],\n [0, -7, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1409", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[6, 9, 10, -3, 0, 1],\n [-3, 3, -6, -2, 3, -1],\n [-10, 4, -10, -9, -8, 7],\n [7, 1, -1, -6, 2, -10],\n [0, -5, 3, -10, -5, -9],\n [2, 7, -9, 5, 8, 8]]\nB =\n[[-9, 7, 6, -7],\n [2, -5, 7, 1],\n [-5, 6, -9, 1],\n [-1, -8, -9, 10],\n [10, 9, 1, 10],\n [-2, -9, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, 0, 0, 2, 1],\n [7, -10, 5, 4, -4, 2],\n [-6, 7, 0, -9, -3, 9],\n [5, -9, 1, 4, 10, -2]]\nB =\n[[5, 3, 9, -8, 10],\n [10, 1, -3, -10, -6],\n [-4, -4, -5, 2, -2],\n [-1, -5, -6, -4, 5],\n [5, 3, -8, -2, -9],\n [0, 10, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -7, 6, 4, 2, 9],\n [9, 6, -8, -10, -5, -1],\n [6, -6, 2, -10, 5, 0],\n [-8, 8, -8, 0, -9, 8]]\nB =\n[[-6, 6, 10, 7, -10, -6],\n [1, 6, 2, 6, 0, -2],\n [-1, 0, 5, 4, -8, -5],\n [3, 1, 0, 10, 2, 2],\n [-4, 10, 10, -7, -7, 3],\n [6, -1, 6, -9, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -8, 6, 2, -6, 4],\n [-2, 10, -3, 8, -3, 5],\n [8, -7, 6, -2, -2, -5],\n [-7, 10, 3, 8, 4, 8],\n [-8, 3, 6, 8, -9, 8]]\nB =\n[[6, -6, 6, 8, -8, -9],\n [-3, -5, -6, 9, -3, -8],\n [1, 3, 5, -8, 9, 3],\n [-9, 0, 7, 0, 4, 6],\n [-7, 5, -3, 6, 9, -9],\n [4, 2, 4, -5, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 5, 1, -4, -4],\n [-8, 0, -1, -4, -10],\n [-5, 10, 4, -6, -1],\n [7, 10, 2, 3, -6],\n [-2, -9, -7, 2, 10],\n [-8, -2, 1, 6, -5]]\nB =\n[[9, 2, -1, -10],\n [-10, -4, 8, -5],\n [2, 2, -7, 5],\n [-10, 9, -6, 5],\n [6, -8, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 10, 3, -4, 7],\n [9, 3, 4, 2, -2],\n [-5, -3, 3, 8, 2],\n [-9, -9, -1, 7, -6],\n [0, 1, 3, -4, 1]]\nB =\n[[10, 0, 5, 8, 0, -7],\n [-8, 5, 2, -2, 9, 8],\n [10, 9, -1, 4, 8, 0],\n [9, 0, -10, 2, 8, 1],\n [-2, -8, -6, -8, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, 6, 3],\n [3, -8, -3, -3],\n [9, 7, -1, 3],\n [-9, -4, -7, 1]]\nB =\n[[-2, -7, -4, 1],\n [-1, 3, 2, -1],\n [-9, -2, 4, -4],\n [-1, 9, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "659", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, 9, 8, -10],\n [2, -1, 4, 6, 1],\n [8, -4, 8, 7, -6],\n [10, 0, 10, -5, -9]]\nB =\n[[-2, 3, 4, 7],\n [3, -1, 4, -9],\n [4, -4, 3, 2],\n [-8, -8, -9, -1],\n [7, 8, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, -3, 3],\n [5, -4, -10, 8],\n [2, -2, 1, 4],\n [4, 5, 2, -2],\n [1, -4, -8, 3]]\nB =\n[[0, 7, 5, 6],\n [-2, -4, -7, 10],\n [2, -3, 4, -9],\n [1, -9, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, 1, 4, -8],\n [-4, 1, 5, -1, 0],\n [3, 9, 9, 10, -8],\n [-7, -10, -3, -6, -6],\n [1, -1, 8, 1, -5]]\nB =\n[[8, -4, 2, 0, -7, -2],\n [6, 9, 3, -4, -5, -1],\n [-9, -1, 5, 4, -10, 3],\n [6, 0, -3, -3, -3, -8],\n [10, 6, 10, 2, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-768", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-4, 10, 4, -9, -5],\n [-4, 1, -8, -5, 10],\n [-2, 3, 4, 8, 5],\n [-1, 2, 9, -5, -9],\n [6, 2, -4, -5, 8],\n [9, -10, -9, -8, -10]]\nB =\n[[10, -6, 9, -8, 4],\n [-7, -3, -4, -3, -4],\n [7, 8, 2, 0, -2],\n [-7, 6, 5, 10, -8],\n [1, -1, 4, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-8, 8, -8, 4, 9],\n [10, 6, -7, 2, 10],\n [-10, 1, 10, -4, 7],\n [6, 2, 1, -4, 5],\n [6, -6, -5, 7, 9]]\nB =\n[[3, 3, 4, 3],\n [-9, -6, -8, 2],\n [8, 6, -6, 5],\n [-8, 2, -2, -3],\n [8, -7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 0, -7, -6, 4, -1],\n [-3, -6, 10, -7, -10, -8],\n [7, -9, 0, -6, -4, -3],\n [9, -4, -2, -3, -9, 0]]\nB =\n[[-1, -10, -9, -1, -9],\n [10, 2, 10, 0, 1],\n [1, -1, -9, -6, -7],\n [4, -7, 1, -1, -4],\n [9, 3, -1, 5, -5],\n [5, 5, -1, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 7, -7, -7, 3, 9],\n [-4, 4, 8, -3, -5, 7],\n [-2, 6, 9, -2, -4, -9],\n [6, 9, 5, 6, -1, 4]]\nB =\n[[-10, -1, 5, -8, 9, -10],\n [-7, -2, 4, -6, -2, -6],\n [7, 2, 4, 1, 8, 2],\n [7, 5, 6, -7, -6, 0],\n [9, 8, -6, 10, -3, 3],\n [6, 8, -3, -1, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -10, 7, -8],\n [8, 8, 10, 10, 2],\n [-10, 3, 5, -5, -9],\n [1, -5, 10, 3, -4],\n [-9, 5, 9, -4, 7],\n [-6, 4, 2, 8, -8]]\nB =\n[[5, 4, -2, -6],\n [-8, -9, 8, -5],\n [9, 10, 0, -10],\n [-3, 4, -10, -10],\n [-3, 4, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1810", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-8, -10, -1, 9],\n [-3, -9, -8, -7],\n [-10, -2, -1, -7],\n [9, 10, 6, -6],\n [3, 0, -4, -4]]\nB =\n[[-8, 5, 9, -2, 2],\n [3, -8, 9, 8, -4],\n [2, -10, 7, 3, -5],\n [-8, 9, 4, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[8, -10, 9, -2, 4, -9],\n [1, -6, -8, 7, 1, -2],\n [-7, 10, 4, 1, 5, -9],\n [10, 5, 5, -3, -3, -8],\n [8, -3, -1, -7, -8, -7],\n [-9, 7, 8, -6, 9, -8]]\nB =\n[[8, -6, -1, -1, -9],\n [8, 9, -6, 9, -2],\n [6, -8, 7, 1, -1],\n [-6, 1, 8, -2, 5],\n [-8, 5, 3, -1, -9],\n [-6, -7, 7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 6, 8, -10],\n [1, 7, 5, 1],\n [-4, 10, -10, 6],\n [-7, -9, -5, 10]]\nB =\n[[-9, -1, 10, -2],\n [-10, 7, -8, -6],\n [-3, 9, 8, -1],\n [10, -4, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 7, -8, -3],\n [-5, 6, 7, -5],\n [5, -2, 6, 0],\n [-3, 4, 2, 6],\n [0, -4, -3, 2]]\nB =\n[[-7, -6, -2, -9, 5, 6],\n [7, 7, 7, -5, -8, -8],\n [7, 10, 1, 9, 1, 0],\n [-1, -7, 9, 6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 5, 5, 4, 0],\n [-6, 1, 0, -7, -2],\n [1, -6, 9, -8, -9],\n [8, -6, -3, -1, -8],\n [8, -5, -2, 6, 9]]\nB =\n[[-4, -10, 1, 5, 5],\n [0, 7, 6, 1, 0],\n [0, 7, -7, 5, 4],\n [-2, 6, 9, 1, -1],\n [3, 5, 4, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-5, -1, -10, -9],\n [-5, -1, 3, -10],\n [8, -3, -4, 6],\n [3, 9, -1, 1],\n [6, 2, -3, 0],\n [8, 10, 2, 3]]\nB =\n[[7, -4, -2, 2, -7, 10],\n [-6, -10, -10, 6, -6, 0],\n [7, 5, -9, -2, 7, -2],\n [-6, -4, 8, 7, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 0, -3, -5],\n [-9, -4, -6, -4, 9],\n [-1, -5, -6, 5, 3],\n [-5, 10, 9, -4, -7],\n [-4, 0, 6, 2, -7]]\nB =\n[[-4, 2, -7, 5],\n [-6, -3, -3, 2],\n [-7, 7, -8, 7],\n [-1, 1, -3, -10],\n [-7, -1, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[0, 0, 0, 9],\n [-10, 1, 6, 3],\n [-8, -4, 5, -6],\n [8, 5, 6, 9],\n [-9, 4, 3, -3],\n [5, 1, -9, 9]]\nB =\n[[-2, 4, 3, -8, 9],\n [-5, -4, 6, -10, 7],\n [6, -1, -5, 10, 5],\n [-8, 5, -5, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, 6, 2],\n [-8, 6, 5, 2],\n [5, -4, 9, 4],\n [6, 3, -7, -2]]\nB =\n[[-2, 8, -10, 6, -6, 4],\n [6, -2, -5, -3, 5, 3],\n [1, 2, 2, 9, -2, 8],\n [0, -1, -6, -5, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -6, -6],\n [9, 2, 4, -6],\n [-10, -2, 8, -1],\n [-3, -9, 8, 3],\n [-8, -6, 4, -8]]\nB =\n[[-7, -8, -5, -4, -1],\n [1, 2, -9, 0, -7],\n [-4, -7, -7, -10, 8],\n [-6, 10, 7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1464", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 3, 4, -5],\n [-5, 2, 2, -9],\n [-8, 7, 0, 7],\n [0, -8, -3, 7],\n [1, 4, -2, 9]]\nB =\n[[-9, 6, -2, -8],\n [-8, 10, -1, 2],\n [-7, -4, 2, 7],\n [3, 6, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, 0, 3],\n [4, -10, 9, -8],\n [-10, 4, 5, 2],\n [3, -2, 3, 6],\n [3, 10, 9, -9]]\nB =\n[[-6, 1, -1, -2, 3, 2],\n [-10, -9, 8, 6, 4, -3],\n [-10, 4, 7, -5, -1, -9],\n [-5, 4, 1, -4, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, 1, -9, 8, 2],\n [2, -1, -8, -3, 0, -9],\n [5, 0, 5, -6, -8, 2],\n [-2, -1, -5, -6, -1, 10],\n [0, 0, -2, -8, 7, 1],\n [-3, 1, -8, -10, 9, 8]]\nB =\n[[2, 4, 7, 6, 9],\n [-9, 8, -2, 7, -9],\n [2, 9, 0, -5, -10],\n [5, 4, 0, -4, 2],\n [-1, 0, -1, -8, -2],\n [-9, 1, -8, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-702", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 9, 2, 9, -7, -2],\n [8, 6, 9, 0, 10, 6],\n [5, 10, -5, 0, -5, -3],\n [-9, -7, 3, 2, -1, 10],\n [-4, -10, 10, 5, 1, -3]]\nB =\n[[6, -9, -3, -10, 1, -7],\n [5, 5, -2, 9, 4, -10],\n [-6, -8, 7, -8, 8, 6],\n [3, 7, 8, 6, -4, -8],\n [5, -10, 0, -3, 6, -2],\n [6, -9, -10, 3, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 7, -4, -3],\n [-10, 10, 0, 0, 2],\n [-4, -2, 9, 0, -5],\n [-2, 6, 5, 4, -7]]\nB =\n[[4, -2, -4, -6, -3, 3],\n [9, 4, 7, 3, 9, 10],\n [10, -2, 0, 10, 8, -4],\n [-3, -3, 0, 6, -2, -9],\n [-5, 9, -6, -9, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[5, 3, -9, 10, 8],\n [7, 10, 5, -9, -9],\n [-10, -3, -2, -9, -3],\n [5, -4, -7, 8, 4]]\nB =\n[[8, 6, 1, 6],\n [4, 2, -5, -7],\n [5, -1, -2, 0],\n [0, -3, -8, -2],\n [-10, 6, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, 2, 3, -4, 6],\n [4, -10, 1, -9, -9, 8],\n [-6, 9, -7, 1, 0, 4],\n [0, -6, -6, -3, 0, -4],\n [0, 9, 5, -8, -6, -2]]\nB =\n[[-7, 2, -10, 6, 4, -5],\n [9, -10, 2, 10, -1, 3],\n [-5, -1, 10, -7, 6, -4],\n [-8, 0, -5, -4, 9, 4],\n [-3, -10, 5, -4, -9, 5],\n [6, 2, 10, 7, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -6, -1, -1, 9],\n [9, -10, 10, 4, 10],\n [-1, -7, 9, 4, 7],\n [0, 8, -2, -4, -8],\n [9, -4, -6, -7, 1]]\nB =\n[[4, 8, -7, 3, -4],\n [9, 4, -2, 0, -8],\n [-2, -5, -3, -1, 2],\n [-8, -2, -9, 4, -5],\n [-5, 10, 10, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 4, 0, -7, -6, -7],\n [7, -4, -1, 5, -2, 8],\n [3, 7, -5, -10, -4, 5],\n [-7, 2, 9, -8, 10, 9],\n [7, 5, -9, 5, -5, 7],\n [10, -5, 8, -10, 5, 9]]\nB =\n[[6, 1, -1, -8, 3],\n [-7, 5, -10, 3, -1],\n [9, 5, 8, -8, 0],\n [9, -9, 6, 1, -4],\n [6, -1, -9, 1, -5],\n [-1, 2, -4, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-747", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, -8, 1, 2, -4],\n [-2, -4, -1, -3, -3, 8],\n [-7, -7, 9, 10, -2, -5],\n [7, 0, -7, 5, 6, -10],\n [10, -2, 0, -1, 9, 2]]\nB =\n[[1, 2, 7, 4, -7, -3],\n [0, 2, 1, -6, 0, -4],\n [7, 2, 8, 10, -5, -4],\n [1, 9, 7, -10, -7, -10],\n [-8, 10, 4, 6, 3, 9],\n [9, 3, 3, -10, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2086", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -1, -6, 7],\n [-10, -4, 0, -2],\n [-1, -2, 10, 3],\n [10, 4, -4, 4],\n [0, -3, 10, 9],\n [4, 10, 7, -6]]\nB =\n[[2, 2, -5, 3, 3, -10],\n [1, -9, 5, 6, 5, 0],\n [3, -9, 8, -5, -1, 5],\n [-5, 9, -4, -5, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -3, 3, -4],\n [-3, 2, -3, -8],\n [10, -9, 7, 3],\n [7, -6, -7, -1],\n [-9, 1, -10, 4]]\nB =\n[[3, -1, 4, -4, -10],\n [2, 5, -9, 1, -10],\n [-5, 0, 2, 7, 7],\n [-7, 9, -6, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, 7, -5, -8],\n [7, 8, 10, 5, 7],\n [-5, 5, 5, -5, -6],\n [7, 3, -3, 4, 5]]\nB =\n[[-2, -9, 8, 3],\n [4, -4, -10, 9],\n [-9, 2, -2, -5],\n [8, -3, 7, 9],\n [-3, 7, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 2, 2, -3],\n [2, -9, 5, 9],\n [-2, 3, -4, -2],\n [10, -2, -2, 10],\n [10, 9, -3, 3],\n [-8, -5, 1, 0]]\nB =\n[[-3, -6, -10, -7],\n [-6, -10, -2, -10],\n [1, -8, -5, -5],\n [-2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, -9, -3, -9, 7],\n [-9, -6, 9, -9, 2, 3],\n [1, -5, 3, -9, -7, -6],\n [-8, 6, 2, -5, -7, 6]]\nB =\n[[-5, 4, -8, -5, 7, -3],\n [1, 8, 9, -8, 7, -8],\n [-7, 8, -3, 3, 4, 6],\n [-6, 10, 6, -10, -3, -1],\n [7, -7, -7, 3, -3, 3],\n [-10, -9, 7, 4, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-1, 9, -9, 8, -3],\n [-3, -4, -1, -6, 4],\n [6, -3, 7, -3, 2],\n [-2, -8, 5, 0, 1],\n [-5, -9, 3, 3, 0]]\nB =\n[[0, -7, -7, 3],\n [4, -8, 0, -10],\n [9, -8, -7, 2],\n [0, -2, 0, -2],\n [2, 6, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -1, -6, 8, 10],\n [9, -1, 2, -2, 10],\n [9, -5, 2, -3, 2],\n [-4, -10, -5, 4, -9],\n [9, -5, -4, -3, -1]]\nB =\n[[-4, -6, 6, -4],\n [-7, 2, -9, -5],\n [-5, 0, 9, 4],\n [10, 0, 10, 2],\n [7, -3, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-8, 1, -6, 10, -10, 9],\n [5, 9, 7, 9, -3, -6],\n [8, -4, 3, 8, 10, 2],\n [-9, 9, 2, 0, -9, -6],\n [-10, -3, -1, 1, 9, 5],\n [-5, -1, -6, -9, -6, 4]]\nB =\n[[2, 0, -9, 7, 9, -2],\n [-6, -3, 4, 10, 6, -7],\n [6, 5, -2, 2, 5, -7],\n [4, -7, -3, -6, 6, -3],\n [-5, -10, 3, 2, -10, -5],\n [-9, 9, -2, -6, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -9, -4, -4, -2],\n [6, 7, 2, -10, -9],\n [-5, -10, 9, -2, 9],\n [-8, 7, 2, 1, -10]]\nB =\n[[-8, 1, 0, 7, 5],\n [-4, 5, 8, 4, 1],\n [-1, -6, -3, 3, 6],\n [10, -5, 8, 8, 5],\n [6, -3, 5, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-591", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -5, 2, -9, -9],\n [6, -5, 5, -8, -10],\n [9, -7, 2, -2, -1],\n [4, 9, -4, -3, 10],\n [6, -8, 9, 3, 0],\n [-9, 7, -3, 6, 5]]\nB =\n[[-6, -5, 4, 9, 9],\n [-6, -4, -4, 6, -2],\n [-1, 3, 10, 0, 8],\n [-4, -8, 9, 1, 5],\n [0, 5, 10, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -5, 4, 0, 7, -10],\n [0, 0, 0, 9, -9, -9],\n [-9, -9, 1, -9, 7, -1],\n [8, -4, 8, -6, -2, 3],\n [-7, 2, 2, 0, -5, 2]]\nB =\n[[8, 1, -2, -10],\n [-3, -8, 0, 9],\n [10, -9, -9, -9],\n [-1, 0, 9, -2],\n [-5, 8, -5, -4],\n [-2, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 2, 7],\n [-4, -10, 2, 7, 8],\n [-5, 9, -6, 2, 2],\n [7, -9, 3, -10, 3],\n [-9, 1, 9, 9, -3]]\nB =\n[[8, 4, -5, 9, 2, 0],\n [-5, -2, 1, -7, -8, -6],\n [-5, 8, -4, -7, 4, -6],\n [6, -4, -5, -8, -4, 5],\n [9, -10, -1, 0, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-392", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 3, -7, 8, -3],\n [-5, 10, -5, 8, 8],\n [8, -1, 9, -1, -3],\n [-5, 10, -8, -7, -10]]\nB =\n[[-3, -6, 9, 9],\n [4, -5, -9, 4],\n [-2, -3, -3, 3],\n [-3, -2, -2, -6],\n [-5, 2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -2, 4, 8],\n [10, -4, -4, 7],\n [6, 7, 1, -8],\n [-5, -7, -6, 5],\n [5, -8, -3, -8],\n [0, -4, 2, -6]]\nB =\n[[4, -10, 3, -2],\n [-2, -6, -10, -10],\n [6, -5, -3, -7],\n [6, 8, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -8, 1, -4, -9],\n [2, 9, 9, 4, -2],\n [-3, -10, 9, 7, -7],\n [-9, -8, -10, 0, 3],\n [3, 5, -4, 6, 8],\n [0, -8, 6, 10, 10]]\nB =\n[[-4, -8, 10, -4, 0, 7],\n [2, -5, -9, 4, 3, -1],\n [-9, -10, -6, 2, -3, 7],\n [1, -5, 10, -8, -7, 0],\n [9, -10, -4, -7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2854", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 7, 1, 8],\n [0, 5, 2, -6],\n [-6, 5, 3, -7],\n [-4, 0, -1, 4],\n [-9, 4, 5, -9]]\nB =\n[[10, 9, -6, 10],\n [-6, -9, 3, 1],\n [-10, 6, -4, -7],\n [5, 7, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-966", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[6, -8, -2, -6, 4],\n [1, 6, -8, -10, 10],\n [-2, 1, -4, 5, 4],\n [10, -7, -5, 6, -9],\n [0, -3, -7, 3, 2],\n [-5, -9, 3, 5, -5]]\nB =\n[[6, 7, -10, -5],\n [-3, -7, -7, -1],\n [-4, -2, -10, 8],\n [1, -6, -3, -8],\n [-5, 0, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -10, 7, 1, 10, -1],\n [0, -1, -6, -7, 1, -3],\n [-5, 8, -2, 10, -4, -5],\n [6, 3, 4, -5, -5, -5],\n [-4, -8, 3, -1, 1, 5],\n [2, 2, 0, -10, -7, -9]]\nB =\n[[-5, 6, -1, -5],\n [9, 0, 8, 3],\n [5, -4, 10, -5],\n [1, 9, -8, 9],\n [7, -9, -6, 4],\n [-3, -8, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1521", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 1, 10, -1, 9, 8],\n [7, 8, -9, -6, -9, 6],\n [8, -2, 10, -6, 9, 9],\n [10, 4, 1, 7, -9, 0],\n [-10, 5, -7, -4, -2, 5]]\nB =\n[[-3, -1, 7, -8, -8, 2],\n [-9, -2, 6, 5, -2, -5],\n [8, 7, -8, 8, -2, -7],\n [-7, -10, -9, 1, 9, 4],\n [8, -7, 2, -6, -7, -10],\n [-10, -7, -7, 2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1062", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 2, 2, -3, 5, -9],\n [2, 6, 10, 5, 3, 4],\n [9, 5, 2, 0, 3, 8],\n [1, 1, 0, -9, -3, -9]]\nB =\n[[4, -5, 6, -10, 1],\n [0, -10, -4, -3, -4],\n [-2, -6, 10, 8, 6],\n [0, 5, 10, -2, 9],\n [10, 3, -10, 2, -3],\n [9, -6, -4, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 4, -4, -1, -4, 7],\n [6, 5, 7, 6, -9, 3],\n [-1, 3, -5, 1, -10, -2],\n [3, -10, -7, 1, 8, -2]]\nB =\n[[7, -2, -6, -6],\n [-3, -7, -1, 4],\n [-6, -4, -4, 0],\n [-2, -8, 6, -9],\n [-7, 6, -5, -1],\n [0, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "887", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-5, 2, 5, 7],\n [-4, -3, -1, -8],\n [-6, -8, 4, -3],\n [6, 1, 1, 4]]\nB =\n[[-10, 10, -5, 7, 6],\n [4, 5, 8, 2, -6],\n [9, 3, -9, -6, -1],\n [5, -5, -1, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 4, -10, -2],\n [-4, 6, -4, -1],\n [1, 9, 8, 0],\n [5, -5, -4, 8],\n [1, 9, -8, -10]]\nB =\n[[10, 3, 9, 1, -6],\n [-7, -5, -10, 3, 1],\n [0, -1, 1, 6, 10],\n [5, -3, 7, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-593", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-10, 2, 0, -10],\n [9, 8, 3, 1],\n [-2, 2, 9, -2],\n [2, 4, 7, -9],\n [-10, -3, 0, -6]]\nB =\n[[10, -9, 8, 7, -4],\n [-9, 8, 7, 1, 4],\n [-1, 9, -2, 10, 8],\n [1, 6, -8, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -7, -6, -7, -4, 7],\n [-9, 10, 2, -1, 8, 5],\n [7, -10, 3, -2, 6, 1],\n [6, 2, 6, 9, -1, 7],\n [-7, 9, -7, -1, 5, 1],\n [-1, 5, 1, -3, 3, -2]]\nB =\n[[-4, 8, -8, -9, 8],\n [7, -4, 3, -10, 9],\n [0, 2, -4, 1, -10],\n [-2, -3, 4, 5, 9],\n [-4, -4, 7, 6, 7],\n [-8, 10, 6, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2174", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 8, -2],\n [-9, 2, -6, 7],\n [-8, 3, -9, -8],\n [-1, -5, 6, -7]]\nB =\n[[6, -8, 4, 1],\n [10, 3, 7, -7],\n [5, -1, 8, 8],\n [5, 1, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[9, -4, 2, 3],\n [8, -4, 1, 0],\n [7, -7, -4, -5],\n [-9, 4, 8, -2]]\nB =\n[[0, 2, 7, 7, 3],\n [4, 1, 3, -2, 4],\n [-9, -5, 5, 7, -5],\n [-1, 10, 8, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -1, 0, -1, -9],\n [7, -9, 0, -2, -5],\n [6, 8, 6, 10, -9],\n [-1, -4, -6, -8, -8]]\nB =\n[[-3, 7, 2, 7, -3, 1],\n [-8, -10, -9, 2, 6, -6],\n [4, -4, -10, 0, 7, -5],\n [-8, -6, -6, 6, -7, -8],\n [6, -6, 2, 8, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, -1, 7, -1],\n [1, -5, 4, 9, 4],\n [-8, -4, 10, -1, 1],\n [-5, 1, -3, 9, -2]]\nB =\n[[-9, 1, -10, -6, 2, -1],\n [8, 10, 4, -9, 5, -10],\n [6, -5, -8, 3, -8, -8],\n [-2, 0, -2, -8, 9, 7],\n [7, 10, 8, -5, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 0, 4, 2, 6],\n [10, 10, -4, -9, 7],\n [10, 3, -4, -9, 2],\n [-5, 10, -8, -8, 10],\n [4, 9, 3, -10, 9]]\nB =\n[[8, -8, -6, -1, 3],\n [-10, -4, 0, 8, 5],\n [-5, -2, -1, -8, 0],\n [-1, 5, 9, -10, -7],\n [0, 0, 5, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[2, 9, -8, 2, 8, -6],\n [-4, 3, 0, 2, -8, 9],\n [1, -7, -5, -8, 10, 9],\n [0, -4, -7, 4, 5, 2],\n [3, 7, -5, -7, -2, 8]]\nB =\n[[5, 3, 1, -4, -10, -6],\n [8, -3, 0, -2, 5, -1],\n [4, 0, -9, 4, -1, 8],\n [9, -7, 8, -2, -9, 2],\n [-5, 7, 6, 7, -5, 3],\n [6, -6, 6, 6, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -4, 4],\n [-4, -4, 8, -5],\n [10, -6, -1, -2],\n [4, 3, 7, -3]]\nB =\n[[10, -4, -10, -2, 7],\n [-2, -4, 5, 8, -7],\n [-6, -4, -7, -8, 8],\n [-8, -10, 5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1430", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 8, -2, 2],\n [-3, 4, -2, 2],\n [1, 9, -6, -9],\n [10, 4, 5, 3],\n [-7, 5, 2, -2]]\nB =\n[[-2, -6, 4, -3, -2],\n [-5, -4, -9, 8, 8],\n [9, -8, 8, -5, 2],\n [8, 7, -1, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -5, 2, 9],\n [6, -5, 8, 0],\n [9, 9, -5, -1],\n [4, 4, -9, -1]]\nB =\n[[-10, 3, -3, -2, 10],\n [-7, 8, -6, -6, 3],\n [5, -1, 2, -5, 10],\n [-2, -4, 6, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -6, -9, -7, 6, 3],\n [2, -7, -5, 0, 10, 2],\n [-9, -4, -8, 6, -3, 4],\n [4, 4, -10, 4, -3, 1]]\nB =\n[[6, 1, 1, -6, 6, -10],\n [0, 2, -9, -4, 5, 2],\n [0, 10, 8, 3, -8, -8],\n [-1, 5, -10, 0, 1, 8],\n [-6, 3, 7, -3, -9, 6],\n [-6, 9, 3, -1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 4, 5, 6, -4],\n [-9, -2, 3, -8, -6],\n [5, 8, 0, 6, 9],\n [3, 10, 0, 7, -5]]\nB =\n[[-1, 6, 5, -4, 7],\n [-2, 2, 1, 2, -5],\n [-4, -9, -8, -5, -7],\n [-5, 0, -5, 3, 10],\n [3, -7, 4, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-259", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, 1, 0],\n [-2, -2, -8, 2],\n [4, 3, 2, 1],\n [2, 7, -5, -1],\n [-9, -1, 6, 4]]\nB =\n[[-10, -2, 10, 3, -3, 8],\n [-2, -3, -5, -1, -2, -6],\n [-6, 5, 3, -2, -7, -8],\n [7, 8, -3, -4, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -8, -4, 2, -9, 8],\n [2, -3, 4, 3, -4, 8],\n [-5, -6, 6, -7, 8, -9],\n [0, -1, -10, -1, -10, 5],\n [2, 5, 2, 6, -5, 7]]\nB =\n[[-9, 3, 10, -1, -5],\n [9, 2, 1, -7, -9],\n [6, 2, 3, 2, 5],\n [-10, 4, -9, 0, 1],\n [-4, -4, 1, 2, 5],\n [10, -5, 0, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[4, 4, 0, -1, -5],\n [-9, -4, 3, -7, -4],\n [0, -1, -5, -9, 7],\n [2, 4, 4, 2, -4],\n [7, 10, 10, -6, -8]]\nB =\n[[3, 0, -10, -9],\n [4, -6, 8, 2],\n [-3, -5, -4, 6],\n [6, 9, 7, 4],\n [9, 3, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -2, 5, -3, -9, 1],\n [-8, 0, -6, 5, 2, 3],\n [-4, -4, -1, 5, 3, 9],\n [1, 8, -8, 5, 5, 7],\n [10, 7, 0, -4, 1, -6]]\nB =\n[[-6, -7, 0, 10, -7],\n [5, -1, -10, 5, -8],\n [-2, 3, -7, 4, -3],\n [0, -2, -1, -1, -3],\n [-7, -9, 0, -9, 3],\n [4, -4, -7, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1505", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 6, -1, -10, 4],\n [0, 9, -1, 0, 0],\n [9, -9, -8, -9, 3],\n [10, 7, 6, 0, -7]]\nB =\n[[-8, 9, -7, 6, -1],\n [-1, -10, 9, 0, -5],\n [-1, -6, 1, -9, 10],\n [8, -2, -2, -8, 3],\n [-5, 5, -1, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, 6, -3, 3],\n [4, -6, -7, 7, 9],\n [8, -4, -4, -9, -10],\n [0, -3, -4, -5, 6],\n [7, -8, -4, -7, -7],\n [-6, -9, 8, 4, 1]]\nB =\n[[5, 10, 5, -5, -4],\n [-8, 7, -7, 0, 4],\n [2, -6, -6, -9, 9],\n [2, 5, 1, -4, 8],\n [-5, -6, 8, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2074", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 1, -5, -2, 7, 8],\n [-7, 10, 1, 2, 8, -7],\n [4, -9, -6, 3, -9, 9],\n [-10, -3, -6, -4, -7, -6],\n [-5, 10, 0, 3, -10, 0]]\nB =\n[[2, -9, 3, 8, 6, -10],\n [1, 7, 10, -4, 7, -5],\n [2, 6, 1, -7, 8, 0],\n [-2, -2, -3, 7, 5, 2],\n [-1, 10, 4, 6, -1, -3],\n [-10, -3, -1, -8, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 3, -5, -9, 9],\n [7, -10, 9, -1, 4],\n [-8, -3, 10, 8, -10],\n [6, 10, 3, 2, -9],\n [9, -6, 6, -8, -9],\n [5, 9, 7, 6, -3]]\nB =\n[[-9, 7, -10, -8, -7, -1],\n [-8, 9, 4, 2, 9, 9],\n [-2, 0, 10, 8, 1, -6],\n [-10, -6, 3, 2, -7, 6],\n [0, -7, -10, 2, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3099", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 10, 3, -4],\n [-5, 4, 3, -8],\n [7, 2, -9, -10],\n [8, 6, 4, 10]]\nB =\n[[9, -3, 9, -10, -5, -9],\n [-6, 0, 10, 6, -1, 5],\n [-10, 6, 7, -3, -5, 2],\n [4, -10, 10, -9, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2422", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 6, 2, -10],\n [7, 3, -10, -1],\n [-8, -4, -9, -10],\n [7, 4, 0, -8],\n [7, 6, 6, -6]]\nB =\n[[10, -4, 4, -6, 9],\n [9, -7, 9, -8, -7],\n [5, 4, -8, 10, 4],\n [1, 2, -4, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1688", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 5, 3, -5, 5, 9],\n [-10, 10, 4, 5, -1, -2],\n [-7, 7, -6, 2, -5, 9],\n [10, -3, 1, -5, -9, 0]]\nB =\n[[4, -1, -4, -2, -4],\n [-3, -4, -8, 0, -10],\n [5, 6, 2, 7, -7],\n [-9, 9, -8, -4, -5],\n [7, 9, 4, -10, -8],\n [4, 8, -2, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -10, 5, -5],\n [-5, 0, -10, 10],\n [-9, 2, 9, 5],\n [3, 7, -9, 5]]\nB =\n[[8, 9, -8, -9],\n [1, 2, 3, -9],\n [5, -3, -5, -8],\n [0, 1, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 4, -3, -10],\n [5, -4, -1, 2, -6],\n [-10, 8, 8, 8, -1],\n [8, -4, 0, -8, 9],\n [-6, 7, -9, 8, -6],\n [-6, 9, 0, 10, 9]]\nB =\n[[-3, 8, 8, 0, -7],\n [9, 9, -6, -2, 6],\n [4, 2, 3, -1, -10],\n [4, -2, 0, -2, 2],\n [-2, 9, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, -10, 3, 10, 5],\n [7, 0, -3, 3, -4, 2],\n [9, 4, -10, 5, -8, -6],\n [-5, 4, 4, 10, -1, 7],\n [-8, 3, 3, -3, -3, -5],\n [-3, -10, 3, -2, 4, -10]]\nB =\n[[1, -10, 6, 3],\n [1, -1, -1, 6],\n [-6, -4, -4, 9],\n [7, -9, -6, -1],\n [-8, 5, 4, 1],\n [-3, 7, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[6, 4, -3, -2, -4],\n [5, 0, -5, 9, -1],\n [1, -2, 2, -4, -8],\n [-3, 5, -8, 4, 0]]\nB =\n[[6, 8, -6, -2, 8, -1],\n [-1, 4, 0, 1, -10, -4],\n [4, 3, -10, -9, 5, -7],\n [4, -6, -9, 4, 7, 5],\n [-8, 6, 1, -7, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 10, -1, 4],\n [-8, 5, 1, 9],\n [-9, 0, 8, 7],\n [3, 4, 8, -9],\n [-2, 2, 1, -8]]\nB =\n[[1, -4, 1, -9, -1],\n [-3, 9, -2, -8, 6],\n [6, 1, -5, 3, -4],\n [4, -1, 10, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, -3, -6, -3],\n [10, 0, -10, -3, -10],\n [-5, 3, -9, -4, 4],\n [-1, -8, -9, -6, 5],\n [0, 6, 2, 6, -3],\n [10, 10, -5, -5, 6]]\nB =\n[[-5, 3, 2, 0, 10, 3],\n [0, 1, -1, 6, 1, 5],\n [7, 7, -4, 4, 1, 10],\n [-2, -3, 0, -6, -8, -2],\n [-5, -5, -1, 9, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1770", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 5, -2, -2],\n [8, 4, -7, -7],\n [0, -10, -1, -9],\n [6, -8, 3, 1],\n [2, 1, -10, -10],\n [7, -3, 1, -8]]\nB =\n[[0, -6, -7, 8, -8],\n [-6, 3, -7, -3, 8],\n [5, -8, 4, 10, 0],\n [-1, 0, -8, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1779", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 3, 8, -8, -3, -9],\n [-3, 2, -3, 1, 1, -6],\n [1, -2, -3, 2, 5, -3],\n [-2, 5, 7, -6, 9, -5],\n [-4, 0, 10, -2, -9, 4],\n [0, -6, -9, 1, -7, -5]]\nB =\n[[9, -8, -6, 1, -5, -10],\n [8, 10, 9, 1, 0, 1],\n [-2, 3, -4, 5, 9, -6],\n [-6, 9, -10, 6, -3, 3],\n [4, -1, 5, -7, 10, -6],\n [-4, -1, 5, -4, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -1, 9, 3, 2],\n [-7, 2, 7, 0, -3],\n [7, -7, -3, -1, 2],\n [10, 1, -6, -8, 9],\n [4, 1, 6, -3, -4],\n [-5, 3, 0, -7, -5]]\nB =\n[[-7, -10, -8, 5, -4],\n [-8, -4, -10, 7, 2],\n [8, 8, 6, 0, -2],\n [-9, 3, 10, 9, 3],\n [-4, 5, -9, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 2, 2, 6],\n [-3, -6, 0, -5],\n [6, -7, 6, -10],\n [3, -1, 9, 4]]\nB =\n[[-10, 7, -5, 8],\n [-10, -3, -2, -2],\n [-10, -6, -9, -10],\n [-10, 4, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-337", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -7, 6, 0, -8],\n [-6, -8, -10, 9, -4],\n [-10, 7, 1, -8, -5],\n [-7, 1, -1, -10, -6],\n [-5, -4, -6, -10, -5],\n [-1, -2, 3, 2, 9]]\nB =\n[[6, 5, 5, -9, 9],\n [7, 10, -4, -4, -8],\n [2, 7, 4, 2, 1],\n [-3, -9, 10, -10, -2],\n [-9, -9, -2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, 10, 9, 7, -2],\n [-2, 8, -6, -4, 4, 3],\n [-4, -6, -4, 5, 9, 0],\n [4, -1, 8, 7, 7, 4],\n [10, 2, -8, 6, -5, -8],\n [3, -3, 3, -9, -7, -6]]\nB =\n[[3, -5, -5, -1, 3],\n [4, -6, -7, -9, 8],\n [4, -1, 2, 1, -7],\n [10, 7, -2, 5, 9],\n [-2, 0, -6, 0, 8],\n [6, 10, 5, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -1, -1, -1, -2, 7],\n [-3, 3, 5, 5, 6, -6],\n [10, -3, -7, -8, 4, -5],\n [2, 8, -10, 8, -8, 3]]\nB =\n[[4, -3, 4, -3, -5, 0],\n [-2, 0, 5, -7, 0, 3],\n [-9, -10, -8, -6, 8, -4],\n [-10, -9, -10, -2, -6, -8],\n [4, 5, -8, 8, 5, -8],\n [2, 8, -1, -9, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -3, -9, -6, -1, -2],\n [-6, 8, 2, -3, -2, -9],\n [4, -1, -8, 6, -5, 5],\n [5, -4, 4, 1, -8, 10]]\nB =\n[[10, -2, -1, 1],\n [7, -3, -8, -5],\n [5, 0, 5, 1],\n [9, -8, 9, 5],\n [-9, -3, 7, -6],\n [3, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 7, 4, 10, -5, 0],\n [6, 2, 3, -8, 7, -5],\n [-7, -3, 5, -3, 9, -10],\n [1, -3, 5, -10, 3, 1],\n [6, -8, -2, -8, 7, 7],\n [7, -3, 0, -4, 7, 7]]\nB =\n[[5, -9, -5, 3, 6],\n [5, -8, 9, 7, -10],\n [-4, -2, -4, -4, 8],\n [-8, -6, -4, 6, -3],\n [0, 6, 2, -2, 5],\n [9, -7, -1, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 4, 3, 3, 6, 3],\n [0, 9, 9, -1, -4, 10],\n [-6, -5, 2, 8, -5, -9],\n [-6, 4, -10, -5, 0, 5],\n [-7, 4, -4, 5, 4, -8]]\nB =\n[[-5, 2, 7, -8, 2, 4],\n [9, 2, 4, -4, -5, 6],\n [-1, -5, -1, -10, -2, -7],\n [2, -4, 1, -4, -2, -8],\n [-2, 5, 5, 10, 10, -2],\n [-10, 6, 8, -6, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-1, -6, -9, 0],\n [-10, 0, 3, 8],\n [-4, -10, -3, 6],\n [2, 10, -4, -3]]\nB =\n[[3, 9, -8, -10],\n [8, -4, 1, -10],\n [1, -10, 6, -9],\n [-2, -1, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 0, -4, 0],\n [8, 0, 3, -9],\n [2, -5, 9, -9],\n [10, -4, -10, -6]]\nB =\n[[-6, 6, 2, 7, 6, 0],\n [-2, 4, 7, -7, -7, -8],\n [-1, 7, 0, -4, -5, 4],\n [4, 9, 1, -4, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, 10, 6, -8, -5],\n [-2, -7, 9, -6, -6, 5],\n [-3, -8, 10, -3, 6, -1],\n [-2, -2, -4, -3, 2, -8]]\nB =\n[[8, -4, -9, 9, -1, -2],\n [-3, 0, 4, -5, 4, 2],\n [-5, -1, 10, -9, 8, 5],\n [8, 6, -5, 3, 1, 9],\n [-5, -8, 4, 6, -8, 5],\n [10, -8, 4, -6, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -5, 1, 4],\n [8, 9, 1, -10],\n [-8, 1, -6, 7],\n [1, -9, 9, -6],\n [-10, -10, -3, 5]]\nB =\n[[1, 6, 1, 6, 8],\n [-8, 4, -3, 6, -8],\n [6, 1, -9, 8, 7],\n [-4, -3, 6, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[8, -3, 8, -2],\n [-9, 7, -2, 0],\n [-3, 5, -1, 1],\n [6, -2, 2, -8],\n [-10, 9, 4, -5]]\nB =\n[[-6, 2, 0, 4, 9, 9],\n [-1, -6, -1, -5, 9, 3],\n [-2, -6, 9, 9, -7, -4],\n [1, -6, 10, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, -5, 10, -6, 2, -9],\n [0, -1, 4, -6, 7, -8],\n [2, 10, 6, 8, -9, 5],\n [-10, -3, -1, -2, 3, 5],\n [-3, 9, -2, -9, -5, -8]]\nB =\n[[9, 1, -9, -5],\n [5, -10, 6, 1],\n [-3, -6, -2, -8],\n [5, -1, 2, 7],\n [3, -6, -10, 5],\n [2, 9, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[2, 9, 5, -3],\n [2, 0, 6, 10],\n [3, -2, -6, 8],\n [8, 3, 1, -3],\n [-5, -1, 2, -7]]\nB =\n[[-4, -7, -9, -10, 3],\n [9, 6, -4, -3, 6],\n [-1, -3, 10, -7, 5],\n [-2, -6, -9, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[6, 6, 5, -1],\n [-8, -1, -9, -6],\n [8, 1, 9, 1],\n [9, 6, 2, 8],\n [-9, -9, -5, 6]]\nB =\n[[9, 2, 10, 6],\n [-8, 3, 10, -9],\n [-9, 6, 10, 5],\n [5, -3, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, 6, -7, 2, -5],\n [-6, 8, 0, -9, -10, 9],\n [-1, -2, -4, 3, -4, -7],\n [-10, -2, 6, 0, 3, -9],\n [8, -2, -3, -6, 4, -7]]\nB =\n[[1, 7, -3, 7],\n [-3, 0, 1, -1],\n [3, -9, -10, -9],\n [-2, 6, 7, -3],\n [-9, 10, -6, 8],\n [-6, 5, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 3, -5, 5, -2, 4],\n [3, -10, 10, 5, 2, 5],\n [5, 3, -5, 8, 8, -5],\n [5, -1, -6, 3, 9, -8],\n [5, -3, -1, -9, -9, 8]]\nB =\n[[6, -1, -8, -2, 2],\n [-6, -5, 6, 7, 3],\n [10, -7, 8, -4, -5],\n [-3, 9, -8, -1, 3],\n [2, 8, 5, -7, -9],\n [-3, 1, 9, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1737", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-9, -8, 0, -1, -9],\n [0, 6, 0, -9, 9],\n [0, -10, 7, -10, -4],\n [10, -8, -5, -7, 2],\n [4, 0, -6, -4, 7],\n [-7, -4, 0, 7, -10]]\nB =\n[[-9, -4, -5, -3, 3],\n [-8, -3, 0, -7, 3],\n [7, 8, -9, 10, -4],\n [10, -8, 4, 3, -7],\n [6, 9, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 9, -2, 10],\n [-3, -6, 10, -6],\n [-3, -1, 5, 3],\n [-3, 7, 5, 6]]\nB =\n[[-4, 4, 7, -4],\n [8, 9, 7, 2],\n [-8, -8, 5, -2],\n [3, 0, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1039", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 8, -2, 2, 5],\n [-4, -5, 9, -2, 8],\n [-1, 10, 10, -10, 0],\n [10, 9, -7, -2, -2],\n [7, -1, 7, -1, -2],\n [10, -1, -5, 0, -8]]\nB =\n[[1, 0, -5, -10, 8, 8],\n [-9, 9, 1, 10, 10, 3],\n [4, 8, 9, -5, 7, 8],\n [-10, -8, 8, -10, -8, 4],\n [-9, -5, -8, 4, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 10, 6, -3, -2, 4],\n [-10, 3, 0, 6, -9, -5],\n [-8, 1, 8, -1, 2, 8],\n [-4, -8, -9, -4, 9, -7],\n [10, 0, -6, -6, -4, -10]]\nB =\n[[9, -10, 7, 10],\n [2, -3, -7, 0],\n [7, -10, 6, -3],\n [-9, -5, -5, -1],\n [-8, 7, 7, 7],\n [-7, 7, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[4, 0, 5, 10],\n [8, -4, -8, 0],\n [3, 8, 8, -7],\n [3, 3, -10, 3]]\nB =\n[[-2, -5, -1, -6, 2],\n [-10, -8, 7, 10, -10],\n [0, 10, -5, 9, 9],\n [8, -4, 5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, -6, 4, 6],\n [-9, -4, 4, 10, 3],\n [9, -5, 5, -3, -9],\n [3, -7, -2, 0, -5]]\nB =\n[[6, 3, -2, 9, 9],\n [-6, 7, -1, 1, -8],\n [6, 10, -2, 10, -6],\n [-4, 4, -6, -9, -7],\n [-6, 1, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[5, 6, -3, -7, 6, -5],\n [-1, 7, 0, -7, 6, -8],\n [-3, -3, -7, -5, -6, -2],\n [7, 4, 0, -4, -10, 8],\n [-9, 7, 6, 10, 7, 6]]\nB =\n[[1, 10, 2, -4, -1, 3],\n [10, 1, -3, -8, 0, 6],\n [-8, -7, 0, -8, 5, -3],\n [0, 4, 0, 9, -3, 2],\n [-1, -8, -3, 9, 4, 6],\n [-7, 5, 9, -10, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, 7, -9, -5],\n [2, -6, 4, 4, 2],\n [-8, -5, -9, 1, 10],\n [-4, 5, 6, 8, -6],\n [1, 10, -2, 5, 0]]\nB =\n[[9, -2, 3, 4],\n [-2, 0, -1, 8],\n [-3, -2, -6, -7],\n [-9, -10, 9, -7],\n [3, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -10, 0, 4, -9, -2],\n [-1, 8, -6, 9, 0, 10],\n [5, -2, -5, 8, -2, 4],\n [2, 0, -9, -1, 4, 2]]\nB =\n[[3, -1, 2, 7],\n [7, -6, -5, 4],\n [-7, -6, 10, -8],\n [-5, -10, -10, -4],\n [1, 10, 2, 7],\n [-7, -5, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -8, -9, -3, 2, 7],\n [-6, -2, -2, 9, -7, -1],\n [3, -3, 10, -2, -1, 7],\n [-4, 8, -4, -6, 10, 7]]\nB =\n[[7, 7, 9, -1, -9],\n [3, -8, 2, 7, 10],\n [4, 2, -2, 5, 7],\n [-2, 2, -8, 7, 3],\n [-5, -2, -9, 7, -1],\n [-3, -5, 1, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -3, -8, 10],\n [10, -7, 5, -9],\n [-10, -3, 9, -10],\n [-9, 9, 8, -3],\n [-9, 4, 3, -6],\n [-10, -6, -9, 5]]\nB =\n[[-2, -1, -9, 0, -9],\n [-9, -2, 1, 7, 8],\n [-4, 7, 9, -10, 8],\n [3, -2, -1, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 3, 4, -6, -1, 8],\n [8, -5, -9, 9, -6, 9],\n [-9, 3, 9, 4, -6, -4],\n [-4, -8, -7, 3, 6, -4],\n [-6, 2, 0, -7, -7, -5]]\nB =\n[[8, -3, 3, -9, -9],\n [-2, -4, -6, 6, 5],\n [10, -10, -9, -5, -1],\n [2, -10, -3, -10, -1],\n [4, -7, -8, -8, 9],\n [-9, -6, 1, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, 4, 10, -4, -5],\n [-4, 8, 7, 10, 5],\n [-10, 10, 10, -8, -1],\n [-7, 3, 5, -7, 3],\n [0, -9, -10, 9, -4]]\nB =\n[[-2, 3, 7, 4],\n [-1, 8, 9, 1],\n [-10, 4, -2, 6],\n [4, -9, -6, 6],\n [-4, 2, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -7, -6, -7],\n [-9, -5, -1, -5],\n [-4, -8, -6, -10],\n [7, 1, 4, -1],\n [2, 6, 7, -6]]\nB =\n[[-4, 6, -3, 10],\n [-10, -1, -3, 9],\n [9, -8, -7, 9],\n [-2, -7, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 7, -2, 6, -6],\n [9, -7, 8, -2, -4],\n [-7, -1, -10, -3, 9],\n [-10, 4, -3, 6, 10]]\nB =\n[[5, -6, -7, 4, -10],\n [-6, 4, -8, -3, -7],\n [8, -7, 1, 4, -5],\n [-2, 9, 7, 9, -10],\n [10, 5, -2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1654", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-3, -5, -3, -7, 7],\n [3, 0, -2, -3, 0],\n [-5, -10, -6, 7, 0],\n [10, 10, 1, 3, -6],\n [3, -7, 4, 0, -5]]\nB =\n[[-7, 4, -5, -3, 8],\n [2, -7, 7, -7, -6],\n [-7, -3, -6, 5, -5],\n [-2, 5, 8, -3, -10],\n [-6, -8, -9, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -6, 3, 2, -4],\n [-1, 2, -6, -8, 5],\n [3, 9, 2, -3, 10],\n [1, 2, -10, 10, 7],\n [-10, 5, -1, -5, -3],\n [-8, -10, -2, 5, -8]]\nB =\n[[1, -5, 8, -5],\n [9, 5, -5, 7],\n [4, 7, -10, -9],\n [-6, 6, 10, -7],\n [5, 7, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1956", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-7, 4, 2, -1, 1],\n [-9, -4, 9, 4, 6],\n [-6, -2, 10, 6, -1],\n [2, 8, 7, -1, -7],\n [-2, 9, -1, -1, -4],\n [-2, 8, 6, -7, -9]]\nB =\n[[-9, -4, -3, 8, 0],\n [-9, 2, 3, 9, -5],\n [0, 1, 9, 1, -4],\n [7, -10, -6, 7, -9],\n [1, 8, 8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[6, -10, 8, -9],\n [-8, -4, 3, -2],\n [8, 2, -3, -9],\n [-7, 4, 3, 0],\n [4, 0, 7, -1],\n [6, -5, -7, -2]]\nB =\n[[0, 3, 8, 10],\n [5, -3, 7, -6],\n [-2, -1, -8, 4],\n [10, -9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, -6, 1, 3],\n [-3, -6, -8, 10, -5],\n [6, 0, -7, -5, 10],\n [-7, -6, -6, -8, 10]]\nB =\n[[-10, -1, 1, 8, -6, -2],\n [-2, -5, 1, -7, 2, 1],\n [-3, -2, -10, 7, -9, 0],\n [7, -4, -2, -4, -6, -4],\n [-3, 7, -10, -5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -7, 3, -5, -9],\n [8, -6, -3, 7, -8],\n [8, 9, 3, -4, -8],\n [0, 6, 3, -7, 5],\n [10, -4, -2, 2, -4],\n [1, 9, -6, -3, 6]]\nB =\n[[-10, -5, 3, -9, -2],\n [5, -1, 7, 6, -5],\n [-3, -6, 1, 3, -1],\n [-10, 4, -4, -10, 7],\n [10, -6, 1, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2697", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 5, 2, 0, -10, 10],\n [5, 5, -9, 8, 3, -5],\n [-3, -5, -9, -3, -5, -10],\n [-7, 0, -3, -3, -1, -6],\n [-6, -8, -10, 4, 4, -7],\n [1, -3, -7, 7, 2, 3]]\nB =\n[[6, 0, -9, -10, 8, -4],\n [-4, -7, 2, -1, 1, -10],\n [-8, 7, 4, 9, 6, 9],\n [-2, 10, -10, 7, 1, 9],\n [9, 10, 0, 3, -8, 1],\n [6, 9, 8, 4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[9, -7, 8, -2, 1, 0],\n [-2, 1, -2, 0, -10, -6],\n [1, 0, -5, 1, -3, 10],\n [-8, -7, 2, 5, 3, 0],\n [6, -3, 4, -2, 8, 6]]\nB =\n[[3, -8, -8, -8],\n [3, -4, 0, 2],\n [-5, -1, 6, 7],\n [0, 4, 8, -4],\n [-2, -6, 0, 0],\n [4, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-1, 1, 10, 5, 4, -2],\n [-2, 8, 8, -10, -1, 5],\n [-3, -6, -9, 4, 6, 6],\n [1, -7, 4, 3, 8, -1]]\nB =\n[[-4, -1, -5, -9, -4],\n [0, 2, -2, -10, -6],\n [-5, 8, 6, 5, 0],\n [-7, -10, 4, 10, -7],\n [-2, -9, -5, 7, -1],\n [5, 6, 5, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -4, 0, 1, -5, -5],\n [-10, -10, -8, 7, 2, 2],\n [0, 9, -2, 0, -9, -9],\n [-4, -7, 8, 7, 0, -10]]\nB =\n[[0, 7, 9, 5, 9],\n [9, 1, -1, 0, 6],\n [-10, 10, 0, 4, 2],\n [8, 2, -1, -7, -2],\n [-10, -2, 7, 10, 6],\n [10, -8, -7, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-672", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, -4, -8],\n [-8, 1, -8, -4],\n [8, -2, 7, 5],\n [2, 0, -9, 0],\n [6, -7, 2, 9]]\nB =\n[[-9, -1, -1, -9, -7],\n [9, -3, -2, -6, 4],\n [-10, 1, -1, 9, 9],\n [-9, -1, 0, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, -4, 9],\n [-10, 4, 10, -1],\n [0, 8, 3, 4],\n [5, 5, 7, 4],\n [-5, -8, -7, 9]]\nB =\n[[10, -3, -4, -4, -5],\n [4, 10, 8, 5, 3],\n [5, 8, -1, 4, -3],\n [10, 4, -1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1680", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, -6, -3, 10, 7],\n [2, 8, 9, 3, -10, -9],\n [1, 9, -2, -7, -1, -9],\n [-8, -1, 6, -7, -6, 7],\n [-3, -7, 1, -6, -6, -2]]\nB =\n[[8, -2, -9, 6, -3],\n [-2, -5, -9, -5, 7],\n [-2, 0, 0, 7, -8],\n [8, -6, -5, 0, -2],\n [4, -3, 8, -8, 0],\n [-5, 8, -5, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 9, -6, -6, 7],\n [-6, 7, -7, 10, -1],\n [2, -1, -8, -6, 2],\n [8, -6, 4, -10, -7],\n [-9, 1, -10, -8, -8]]\nB =\n[[9, 6, 3, 7],\n [-10, 6, -7, -6],\n [-8, -3, 6, -1],\n [5, 5, 9, -9],\n [-3, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 8, 1, 0, 4],\n [3, -2, 2, -8, 5],\n [-7, 10, -9, -3, -4],\n [6, 2, -2, 9, -2],\n [-9, 10, -10, 6, -9],\n [-10, -10, -5, -10, -9]]\nB =\n[[-3, 9, 3, -10],\n [3, -4, -5, -9],\n [-5, 9, 8, -8],\n [-6, -7, -5, -8],\n [1, -8, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[5, 9, -9, -6],\n [-2, -1, -10, 2],\n [1, 10, -4, 1],\n [1, -10, 2, -10]]\nB =\n[[-4, -7, -6, 4],\n [7, 10, 2, 5],\n [-10, -8, 7, 1],\n [0, 3, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, -9, -7, -10, 2],\n [3, 4, 3, 1, -2],\n [9, -2, 6, -1, 8],\n [5, 1, -5, -4, 6],\n [-9, 8, -9, 0, 5]]\nB =\n[[-4, 8, 5, 4, -1],\n [-6, -2, 8, -2, 4],\n [-7, 5, -1, 7, 10],\n [-5, -1, 6, 2, 0],\n [-9, -3, 6, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-2, -9, -8, 6, -5],\n [0, -10, -10, -2, 2],\n [1, 10, -8, 3, 6],\n [7, -1, -7, -8, 3],\n [6, -6, -2, 4, 0],\n [3, 4, -5, 9, -3]]\nB =\n[[10, -10, -1, 0, -8],\n [-6, -1, 7, 7, -7],\n [-5, -2, 8, 4, -3],\n [-6, -4, 2, -2, 0],\n [-10, 2, -8, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 1, 10, -7, -5],\n [-5, 8, 6, -2, -9],\n [-6, 6, 1, -8, -5],\n [0, -3, 8, 3, -6],\n [4, -9, 10, 1, 0]]\nB =\n[[6, 1, 3, 4, -6, -8],\n [-2, 4, -1, -7, 10, -8],\n [-6, 10, 3, 6, -9, 1],\n [2, -7, -8, -2, -10, 7],\n [1, -9, -10, -4, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "597", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 8, 5, -3, -6, -4],\n [3, -9, 10, 10, 10, -5],\n [-3, 6, -5, -5, 10, 6],\n [0, -5, 5, 6, -1, -3],\n [0, 6, -4, -10, 4, -9],\n [-10, -5, 0, -9, -4, -4]]\nB =\n[[5, -5, -10, 2, -8],\n [-3, 1, 9, 4, -8],\n [-10, 5, 2, -3, -8],\n [-6, 9, 3, 4, 6],\n [-9, 9, -8, 9, -2],\n [-7, -8, 3, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2213", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 10, 8, -4],\n [6, -6, 1, 6],\n [1, -9, 1, -2],\n [0, -7, 7, -6]]\nB =\n[[8, -2, -10, 7, -6],\n [-3, -1, 0, -3, -2],\n [8, 10, -7, 3, -5],\n [-3, 3, 3, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -3, 10, -10, 6],\n [-9, 9, 8, -6, 8],\n [5, 5, -3, -5, 6],\n [-6, 5, -1, 2, -9]]\nB =\n[[-5, -1, 5, 3, 5],\n [-1, -3, -4, 5, 4],\n [-4, -5, -10, -7, -2],\n [2, -5, 7, -9, -2],\n [4, 1, 9, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 0, -8, -4, 3],\n [-7, 5, 1, -10, 9],\n [-10, 7, -6, 4, -4],\n [-1, 0, 6, 2, -2]]\nB =\n[[-8, -10, -3, 0, 8, 2],\n [2, 6, 3, 6, 5, 0],\n [-8, -3, 1, 10, 7, -7],\n [-2, -3, -1, -8, 5, -4],\n [9, -8, -4, -3, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "563", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, 7, -4, 2, -7],\n [1, -1, 2, -7, -1],\n [-1, 8, 8, 5, -2],\n [10, -8, 10, -3, 8]]\nB =\n[[-2, 10, 8, -8],\n [-8, 8, 3, 9],\n [-8, -9, -9, -6],\n [-7, -1, -10, -1],\n [-3, -9, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, -4, 2, 0, 7],\n [-4, -4, -8, -4, 8, 9],\n [7, -1, -2, -8, 10, -6],\n [-6, -2, 1, 3, -9, 6],\n [-8, -9, -4, 4, 7, -10],\n [-10, -2, -1, 2, -5, -5]]\nB =\n[[4, 10, 1, -7],\n [-8, -6, 1, -5],\n [1, -6, 9, 8],\n [-5, -6, 4, -10],\n [-8, 1, 1, 9],\n [4, 7, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -8, 4, 0, 3],\n [-3, 1, 0, -3, 7],\n [6, -10, 4, -5, -6],\n [10, -7, 5, -3, -4]]\nB =\n[[9, -10, -5, 7, -8, 5],\n [-3, -3, 5, 5, -6, -1],\n [10, 0, 2, 2, 1, 5],\n [6, -10, 1, 8, -7, -3],\n [-2, 1, 1, 2, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -4, -2, -9, -1, 8],\n [5, -4, 7, -10, 1, 10],\n [9, -8, 7, -9, 2, -4],\n [9, 2, -8, -5, -1, 7],\n [-10, -2, -2, -9, -3, 8],\n [8, -5, 5, 4, -6, 1]]\nB =\n[[2, -7, -5, 3],\n [0, 10, -2, 2],\n [10, -2, -2, 8],\n [-3, -2, -8, -6],\n [10, 10, -9, 9],\n [4, 4, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -6, -10, -10, 0, -2],\n [-4, 6, -7, 2, -7, -7],\n [-5, -1, 2, -6, -3, 4],\n [-1, -6, 1, 7, 3, 2],\n [-6, -1, -9, 1, -5, -2],\n [-4, 9, 10, 9, -2, -10]]\nB =\n[[-6, -9, -2, -3, 7],\n [2, -1, 4, 9, -4],\n [-2, -6, 4, -4, 6],\n [-1, 2, -10, 0, 6],\n [-2, -9, -10, 2, 10],\n [-1, -9, 10, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, -6, 2, -1, 4],\n [-10, 5, 9, 0, 4],\n [9, -7, 9, 3, 8],\n [8, -2, -1, 5, -6],\n [-4, 7, 4, 8, 7]]\nB =\n[[7, 5, 0, 4, -5],\n [8, 2, -4, -1, -5],\n [-4, -3, 1, 4, -2],\n [-1, -8, -5, -6, -5],\n [-10, -4, -2, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, -8, 7, -10],\n [5, 8, -7, 4, 4],\n [-1, -5, -2, -6, 6],\n [-8, -5, -4, 4, 8]]\nB =\n[[0, 3, -3, 4],\n [8, -7, 1, 3],\n [8, 10, 10, -9],\n [4, 9, 5, -1],\n [10, 10, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -1, -7, -1, 2],\n [4, 1, -6, -7, 2],\n [10, 1, -4, 10, 9],\n [-9, 5, -1, 0, -9]]\nB =\n[[8, -6, 1, -6, 3],\n [9, -1, 1, -1, 2],\n [0, 3, -9, 9, -3],\n [1, 4, 5, 7, -10],\n [7, 10, 5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, -10, 2, 3, -7],\n [-9, 0, -2, -7, 3, -3],\n [6, -3, -9, -5, 1, 6],\n [-8, 9, 6, 10, -9, 10]]\nB =\n[[-5, -6, 5, -1, -8, -5],\n [7, -5, 2, 8, 3, 3],\n [-3, -3, -3, -3, 7, 5],\n [-8, 1, 9, 1, -6, 7],\n [4, 9, 0, 8, 10, -10],\n [-3, -10, 1, 1, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 10, -4, -8, -8, 2],\n [4, 7, -1, -1, -6, 3],\n [5, 3, -8, 1, -9, 7],\n [-8, -1, -1, -8, -5, 3],\n [-6, -8, 0, 9, -1, -4],\n [-9, -10, 10, -3, 0, 3]]\nB =\n[[-3, -10, 6, -4, 1],\n [5, 9, 8, 10, 9],\n [-10, 2, -9, 6, 6],\n [6, 7, -9, 10, -4],\n [-4, 3, -9, -4, -5],\n [-3, 9, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -7, -1, -8],\n [2, 7, 0, 2],\n [-3, 7, -3, -6],\n [-7, -1, 1, -6],\n [-1, -5, 9, 9]]\nB =\n[[-2, -9, -7, 2, 7, -3],\n [-7, 3, 6, -3, 8, 6],\n [9, 8, -6, -2, -5, -8],\n [-9, -3, -2, -1, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 8, 3, -3, -10, -8],\n [0, -9, 10, -4, 0, -10],\n [-9, -8, 0, 4, 10, 2],\n [-3, -10, -10, -2, 9, -6]]\nB =\n[[10, -7, 4, -6],\n [10, -5, -1, 2],\n [-7, 4, -2, 5],\n [10, -9, -2, 9],\n [-4, -2, -8, -5],\n [-5, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 5, -3, 7, -6],\n [3, -8, -4, 3, 3],\n [-6, 3, -10, -2, 8],\n [-5, 3, -10, 9, 2],\n [-6, -2, -10, -1, 9],\n [-3, 6, -1, 7, -9]]\nB =\n[[-3, -9, 5, -1, 5, 10],\n [9, 5, -5, 10, 7, 10],\n [-4, 4, 0, 1, -7, 2],\n [5, -2, 8, 3, -2, -6],\n [-8, -2, 0, -9, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2690", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-4, -4, 8, -7, -9],\n [4, 5, -3, 4, 10],\n [7, 10, 1, 2, -6],\n [3, -9, -10, -1, -3]]\nB =\n[[7, -5, -7, 8, -4],\n [-1, 5, -2, -5, 3],\n [-4, -1, -9, -3, -5],\n [8, 4, 8, 1, -1],\n [7, 5, -2, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 10, -3, -6, -2, -6],\n [4, -6, -4, 0, 10, -2],\n [5, -7, 0, -7, -1, 2],\n [-2, -7, 3, 9, 10, 8]]\nB =\n[[-7, -2, 4, 9, 7, -7],\n [-9, 1, 0, -8, -9, 4],\n [6, 4, -5, 0, -8, 7],\n [7, 8, -3, -5, 1, -7],\n [9, -7, -4, -2, -8, 3],\n [-3, -8, -4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1709", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, -9, -5, 8],\n [-2, -1, 8, 6],\n [2, -1, 7, 3],\n [-3, -8, -7, 8]]\nB =\n[[10, 3, -1, -5],\n [-3, -10, -3, 8],\n [-5, -2, 5, -6],\n [2, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[6, 6, 1, -10, 1, 0],\n [-2, 0, 1, 2, 3, 7],\n [7, 6, -10, 9, 10, 8],\n [2, 3, 4, 2, -10, 5],\n [-4, -3, -2, 4, -7, 4]]\nB =\n[[9, -3, -7, 5, -10, 8],\n [-5, -5, 10, 4, -5, 4],\n [6, 3, -2, -1, -9, 1],\n [-2, 5, 7, -7, 7, 10],\n [-4, -8, 8, 9, 3, -3],\n [1, -7, 1, -5, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, 3, -6, 5],\n [-6, -3, -2, 3, 7],\n [6, -5, -2, 9, -2],\n [0, 7, 8, -6, -9],\n [-3, 7, 1, 1, 6],\n [-7, -6, 8, -6, 0]]\nB =\n[[-9, 2, 4, 5],\n [-3, 9, 3, 8],\n [-10, -9, -8, 5],\n [9, -2, -8, 3],\n [8, 4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -10, -10, 8],\n [-2, 7, -7, -4],\n [-1, -1, 2, 0],\n [-8, 4, -8, 2],\n [1, 0, -4, -3],\n [5, -7, -4, 4]]\nB =\n[[-9, -10, 5, 8, 0, -1],\n [3, -6, -3, -8, 6, 3],\n [2, 10, -7, -2, -5, -1],\n [-10, 1, 4, -5, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -9, 10, 2, 7],\n [4, 3, 0, 1, -4],\n [-2, -5, -4, 2, -6],\n [5, -9, 0, -5, 1],\n [-4, -6, 10, -1, 6]]\nB =\n[[8, 3, -5, -9, 2, 2],\n [0, -7, 8, 5, -8, -5],\n [-8, 5, -1, 0, -2, -6],\n [-6, -5, -10, 4, -4, 9],\n [-10, 10, -2, -1, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1934", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 7, 1, 3, -8, 1],\n [-8, 6, -3, 3, 0, -2],\n [2, 2, 8, 2, -4, 9],\n [10, -8, 3, 6, -4, 0],\n [-4, -3, 1, -6, 3, -5],\n [4, -4, 3, 2, -3, 8]]\nB =\n[[5, 6, 7, 10, -7, 6],\n [8, 9, -10, -4, 10, -6],\n [2, 5, 3, -1, 7, 6],\n [8, 3, -1, 10, 8, -3],\n [7, 9, 1, -6, -4, -4],\n [2, -10, -8, -8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, -4, -10],\n [-7, 4, 5, 3],\n [8, -5, 6, -3],\n [1, 7, 8, -10],\n [-1, -2, 6, 5]]\nB =\n[[0, 10, -5, -5, 8, 1],\n [9, -1, -1, 1, -3, -8],\n [-9, 8, -4, 3, 10, 9],\n [0, -1, 1, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1528", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, 9, 9, -2, 10],\n [-10, -8, -6, -1, -1, -10],\n [-10, 2, 7, -9, 7, 8],\n [-5, 10, 6, -1, -7, -5],\n [7, 6, -8, -2, 6, -3],\n [1, 2, 8, 4, -2, 3]]\nB =\n[[1, 10, -4, -7, 6, -2],\n [-2, -6, 5, 8, -10, 1],\n [8, -5, 4, 1, 5, -7],\n [3, -3, -7, -10, 2, -3],\n [-7, 1, -5, 2, -7, 6],\n [3, 0, 1, 5, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -9, -7, -4],\n [-8, -3, -1, 0],\n [8, -9, 9, 5],\n [-8, -7, 4, 9]]\nB =\n[[1, 1, 6, -2],\n [-1, -9, 3, -5],\n [-2, 1, 7, -1],\n [-1, 3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "793", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -9, 7, 6, -2],\n [-6, -3, 1, 7, 8],\n [-8, -4, -6, 3, -2],\n [-3, 9, -2, 2, 0]]\nB =\n[[1, 8, 8, -4, -8],\n [-1, 6, 6, 9, -3],\n [6, 8, 0, 9, -9],\n [7, -3, 2, 9, 4],\n [2, 2, -8, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1223", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 5, 5, -1],\n [-9, -1, -4, -1],\n [7, 0, -10, 0],\n [8, 8, 8, -6],\n [-7, -8, 10, 2],\n [-8, 3, -9, 0]]\nB =\n[[-9, 8, 9, -2, 0, 5],\n [4, 0, -5, -6, -9, -9],\n [9, -6, 7, -8, 7, -5],\n [7, -5, -2, 6, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, 8, 3, -9, 0],\n [-8, 0, -7, -8, -6],\n [4, 9, 10, 0, -10],\n [6, 1, -3, -4, -5]]\nB =\n[[3, 5, 10, -10, -3],\n [-9, 4, 10, 2, 0],\n [-4, 5, -6, 6, 4],\n [-1, 7, 7, 5, -4],\n [1, -1, 10, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 3, 8, -1],\n [8, 4, -10, 8, -1],\n [-9, -1, 5, -3, -2],\n [7, 9, 3, -10, 1]]\nB =\n[[-5, -10, 6, 10, 2],\n [0, -8, -8, -7, 7],\n [2, 5, 4, 4, 7],\n [0, 8, -1, 10, -2],\n [5, 3, -3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 0, -9, -6],\n [-10, -10, 9, -1],\n [3, 4, -3, -9],\n [8, -5, 4, -4],\n [-10, 3, -5, -1],\n [-4, -7, 1, 3]]\nB =\n[[-5, 10, -10, 7],\n [2, 2, 9, 4],\n [-1, 9, 5, -7],\n [4, -9, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-7, -9, 3, 5, 2, 0],\n [-3, -1, -4, 8, -10, -3],\n [-2, -9, -1, 4, -1, 8],\n [-10, 3, 2, -5, -9, -8]]\nB =\n[[9, 2, 1, 0, -9],\n [-2, -2, -7, -7, 10],\n [4, 10, -8, -4, 2],\n [-5, -8, -4, 5, -3],\n [2, -5, 5, -6, 3],\n [2, -6, 8, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -3, 3, 7, 9],\n [8, 1, -2, -8, 5],\n [-5, 2, -3, 1, 8],\n [10, -10, -8, -1, 10],\n [-7, 10, -6, 4, -1]]\nB =\n[[2, -1, 4, 7, 0],\n [9, 9, 2, -10, -2],\n [-4, 1, 10, -1, -6],\n [3, 9, -2, -2, -6],\n [-5, 3, 4, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -4, 3, 9],\n [-10, -8, -2, 10, 3],\n [-5, 10, 4, 7, -7],\n [-3, 9, -4, 0, 8]]\nB =\n[[-3, -6, -7, 4],\n [8, -3, 9, -4],\n [0, 10, 1, -2],\n [2, -10, -2, -8],\n [-2, 9, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -8, -4, -1, 5],\n [-4, -2, 9, 10, 5, 3],\n [-1, -6, -5, -5, -8, 5],\n [9, -1, 0, -6, -1, 0]]\nB =\n[[-7, 0, 1, -9, -10, -7],\n [-5, 8, -4, 7, -9, 5],\n [-4, -4, -2, 6, -6, -7],\n [-6, -3, -4, 8, 0, -8],\n [10, 8, -8, 0, 8, -10],\n [3, 0, -5, -6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-4, -7, 3, -5, -6, -6],\n [-9, 6, -2, -6, -9, 4],\n [9, -4, 3, -1, -10, -5],\n [2, 0, -3, 3, -8, 8]]\nB =\n[[-6, -8, 5, -9, 10],\n [-6, -7, -3, 9, -6],\n [-7, -3, 4, -7, 3],\n [-2, 4, -1, 5, 3],\n [1, -9, 3, 3, 6],\n [2, -10, -7, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, 9, 3, 4],\n [1, 4, 7, 10],\n [7, -9, 6, -4],\n [9, -8, 3, 7],\n [-10, -10, 4, 10],\n [5, -4, -1, -8]]\nB =\n[[3, -5, 1, 5],\n [1, 4, -5, -7],\n [7, 8, -4, -6],\n [-8, 1, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 3, -4, -4],\n [-9, -2, 6, 0],\n [-3, 10, -10, -1],\n [1, 5, 3, 6],\n [-1, 7, 3, 3],\n [1, -8, 4, -10]]\nB =\n[[7, 9, 7, -10, 10],\n [-8, -7, 7, -4, 4],\n [-3, -6, 0, 4, 0],\n [10, 5, 10, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 4, -1, 5, 9, 0],\n [-4, -8, -3, -6, -2, -5],\n [8, 1, -2, -7, 7, 5],\n [-9, -3, -4, 10, 6, -2],\n [3, -9, 2, 9, 3, 0]]\nB =\n[[-1, -5, -10, 5],\n [1, 2, 6, 0],\n [-10, -10, -6, 4],\n [6, 2, 0, -7],\n [1, -3, 2, 5],\n [-8, -7, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1144", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -8, 10, 8, 7],\n [3, 2, 6, -5, -1],\n [4, -8, 7, -3, 6],\n [-10, -4, -2, 8, -7]]\nB =\n[[1, -6, -4, 0, -6],\n [-10, 8, -3, 3, 1],\n [-10, 4, -2, 9, -7],\n [-10, -10, 2, 10, -1],\n [-6, -3, 8, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -4, -6, -9, -9],\n [10, -10, 9, -2, -3],\n [3, -6, -1, -7, 1],\n [1, 8, -8, 6, -7],\n [10, -6, 6, 6, 8],\n [-2, 6, 4, -4, -9]]\nB =\n[[-2, 3, 1, 2],\n [8, -2, 1, -1],\n [-7, -9, 1, -7],\n [-8, -6, 2, 9],\n [9, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 8, 6, -4, 5, 5],\n [-8, -8, 1, 5, -5, -1],\n [-2, -4, 8, -3, 5, 2],\n [-1, 7, 9, -10, 4, 6]]\nB =\n[[4, 9, -3, 4, -2, 10],\n [-5, -2, -8, 2, -3, 10],\n [-1, 9, -9, 10, 2, -8],\n [6, 5, 8, 6, 2, 1],\n [-4, 3, -7, 0, 5, -2],\n [0, 10, 5, 1, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1945", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 4, 9, 5],\n [-6, -4, 10, -1],\n [0, -3, -7, 7],\n [-7, -5, 7, 0],\n [5, -4, 0, 5],\n [-8, 7, -2, 9]]\nB =\n[[5, -9, 10, -6, 4],\n [5, 8, -3, 0, -3],\n [1, 7, 6, -6, 6],\n [3, -4, 3, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1522", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-4, 0, -1, 2, -4],\n [7, 9, 10, -6, -9],\n [-10, -10, 2, -1, -1],\n [-9, 5, 8, 3, -7],\n [-8, -8, -2, -1, -9]]\nB =\n[[5, 4, 3, -1],\n [-10, -3, -6, 1],\n [8, 1, 9, 1],\n [-2, -7, 5, 5],\n [-10, -7, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 10, 9, -10],\n [4, -10, -6, -10],\n [9, -2, -2, 5],\n [-3, -7, -6, 10]]\nB =\n[[5, 10, 8, -5, 5, 3],\n [4, -5, 4, 0, 7, 0],\n [-2, -6, -7, -1, 0, -2],\n [-4, 1, -4, -5, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-4, 10, -7, 7],\n [-3, 1, -4, -2],\n [8, 0, -10, 1],\n [2, 5, -10, 3],\n [-2, -3, 1, -7]]\nB =\n[[5, -3, 1, -4],\n [1, -5, 8, 5],\n [-1, -8, 5, -5],\n [9, -8, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[7, 6, 1, 0],\n [1, -3, 1, 4],\n [1, 0, 9, -3],\n [-4, 6, -3, 0],\n [-10, 3, -10, -6],\n [-5, 9, 0, 0]]\nB =\n[[-3, 6, 9, -9, 9],\n [-1, 5, -6, 4, -7],\n [5, 0, -8, -10, -10],\n [8, -1, -4, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, -8, 3],\n [8, 10, -3, -10],\n [9, -2, 6, 5],\n [1, -9, -3, 8]]\nB =\n[[-1, -4, 4, 6, -8],\n [-5, 10, -10, 7, -5],\n [10, 9, 6, 1, 10],\n [10, 1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-1, 1, -10, 9, -7],\n [6, -4, -2, 4, -2],\n [3, 9, 2, -10, -4],\n [6, 3, -6, -2, 4],\n [3, -9, -6, 10, 3]]\nB =\n[[9, 7, -4, 4, 3],\n [-3, 7, -1, 2, -3],\n [-2, -7, -2, -2, 6],\n [1, -4, -4, -5, 7],\n [-9, -4, 0, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -10, -4, 6, 10],\n [-1, -2, -4, 9, -7],\n [4, -1, -9, -3, 6],\n [-4, 10, 0, 3, -1],\n [1, 8, -9, -4, 10],\n [7, 5, -8, 4, -5]]\nB =\n[[10, 7, -8, -10, 3, 0],\n [5, -6, 2, 2, 0, 10],\n [4, 2, -9, 9, 6, -1],\n [0, 0, -4, -8, 6, 4],\n [-1, 10, -8, -1, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[8, 10, 8, 9],\n [4, -3, 1, -7],\n [1, 1, 3, -9],\n [9, -7, 2, 8],\n [-10, 3, 2, -4]]\nB =\n[[0, 5, 10, 0, -9],\n [-2, 4, -7, 7, 1],\n [-7, 10, 1, 4, -9],\n [6, 4, 6, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 4, -8, 1, -6],\n [5, -2, 4, -3, 10],\n [9, -7, 2, -1, 2],\n [9, -7, -4, 3, -10]]\nB =\n[[10, -4, 9, -8],\n [-8, -2, -4, 10],\n [-5, 5, -9, 7],\n [-7, -10, -10, 6],\n [0, 4, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -3, 6, -6, -1, -2],\n [-6, 8, -2, -5, -5, 10],\n [-1, 8, -10, 8, -2, 4],\n [1, -9, -5, 8, 5, 3],\n [-8, 4, -6, 7, 9, -9]]\nB =\n[[2, 0, -10, -10],\n [6, -7, 2, -7],\n [3, -4, 0, 2],\n [2, 4, 3, -6],\n [4, 5, -3, 5],\n [-8, 10, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 4, -9, -2],\n [-4, -10, 0, -9],\n [4, -10, 6, -5],\n [3, -7, -2, -3],\n [0, -9, -6, -8]]\nB =\n[[4, 1, 2, 1],\n [9, 9, 8, 1],\n [8, -7, -7, 6],\n [5, 1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1498", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, 5, 7, -10, 1],\n [-9, 2, -2, -10, 7, 3],\n [8, -2, -5, 7, 4, 7],\n [6, 0, -7, 10, 1, 5],\n [-9, -10, -8, 1, 4, -1]]\nB =\n[[-8, -7, -1, 9, 7, -5],\n [10, 0, -6, -9, -10, 9],\n [4, 8, 7, -2, -3, 7],\n [-1, -1, 6, 7, 1, 1],\n [-9, 0, -7, -3, -5, 6],\n [-2, 4, 1, -7, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-311", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-1, 5, 0, 9, -4, -3],\n [0, 0, 4, 10, 9, 7],\n [-2, -9, 3, -3, 8, -8],\n [5, -9, -9, 8, 2, -8],\n [6, -3, -2, 5, 8, 9]]\nB =\n[[5, 2, -7, -5],\n [-3, 9, -5, 7],\n [-2, 6, -3, 6],\n [-2, -4, 10, 8],\n [-10, -9, 8, -4],\n [4, 7, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -9, -3, 6, -3, 1],\n [-5, -4, -4, 10, -7, -10],\n [9, 8, -6, -4, 10, -10],\n [-3, -4, -7, -4, -2, -6]]\nB =\n[[-10, 10, -10, 4, -7, 6],\n [-5, 3, 9, 9, -1, 8],\n [-2, 8, 9, 8, -5, 9],\n [-9, 1, -2, 5, 7, -1],\n [1, 1, -7, -2, 1, 4],\n [3, 1, 5, 6, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1086", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, -10, -8, 1],\n [4, -7, -1, 4, -2],\n [3, -7, -9, 5, 7],\n [3, -2, 2, 3, 9],\n [9, -3, -7, 4, -10]]\nB =\n[[4, 9, 9, -1, 9],\n [-2, 6, -4, 10, 7],\n [10, 1, 7, -9, 0],\n [-2, 9, -3, 2, 3],\n [4, 10, 1, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -10, -10, -7, -10],\n [-7, 4, -6, 1, 3],\n [-9, 10, 10, -6, 8],\n [-2, -3, 0, 10, -8]]\nB =\n[[-2, -2, 9, 6, -3],\n [-4, -6, 8, 9, 4],\n [0, 2, -7, 2, -3],\n [-4, 2, -10, 6, -3],\n [6, 6, -5, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 9, -4, 7],\n [-4, 8, -2, -2],\n [-6, -1, -1, 7],\n [-9, -7, 9, -4],\n [9, -3, -9, 7]]\nB =\n[[8, 1, 8, -2, 5, 4],\n [-5, 10, 1, 9, -1, -5],\n [-4, 6, 2, -8, -8, 10],\n [6, -9, 1, -6, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 6, -2, -10, 6],\n [-9, -10, 6, 10, 7],\n [-8, 0, -5, -2, 8],\n [3, 10, -2, -7, 9],\n [-8, -7, 7, -3, 10],\n [6, 1, 2, -7, -5]]\nB =\n[[3, -8, 7, -4, 8, 6],\n [-10, -8, -10, 5, 1, -4],\n [-2, 1, 1, 10, 3, -7],\n [10, 10, -8, -10, -2, 7],\n [-3, -5, 2, 5, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2809", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -7, 8, -8],\n [-7, -5, -9, -5],\n [-4, -3, -5, 9],\n [-8, -3, -4, 6]]\nB =\n[[0, 5, 6, 1, 2, 1],\n [-7, -5, 10, -10, -6, 7],\n [7, -1, 0, -8, 5, 5],\n [8, -1, -7, 8, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -8, 1, 0],\n [7, 2, -6, 10],\n [10, 6, -5, -10],\n [9, -8, -5, 0]]\nB =\n[[-4, 1, 0, 5],\n [-4, 7, -2, -9],\n [-5, -1, 1, -5],\n [1, 6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[4, -6, 7, 8, 4],\n [-4, 1, -9, 9, 4],\n [-1, 7, 3, 4, 8],\n [10, 7, 10, 0, -9],\n [0, -1, -9, 2, -3],\n [1, 6, 10, 0, -3]]\nB =\n[[9, -10, -10, -8, 6],\n [1, 7, -5, 1, 6],\n [-1, 3, 6, -3, -2],\n [-5, -4, -6, -3, 10],\n [-3, -2, 1, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[1, -4, -10, -10, 10],\n [-2, 5, 2, 2, -1],\n [-4, 4, 8, 8, -9],\n [-10, -1, 9, -9, 4]]\nB =\n[[3, 3, -7, 7, -9, -4],\n [3, -4, 1, 2, 7, 3],\n [8, 0, -6, -4, 3, 0],\n [-3, -10, 8, -7, -2, -8],\n [4, -2, -7, -10, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -4, -5, -3, -10],\n [0, 5, -3, -7, 5],\n [3, 8, 7, -5, 2],\n [-4, -5, 9, 0, 7],\n [-8, -8, 8, -6, -4]]\nB =\n[[9, 0, 1, -5, 10, -8],\n [-2, -3, 8, -9, 5, -4],\n [8, 8, -4, 10, 4, 8],\n [6, -8, -7, -1, 4, -6],\n [-2, 10, 8, 10, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2519", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 10, 5, -7, 4, -2],\n [10, -4, 1, 8, 0, 6],\n [-10, 3, -2, -7, 4, 3],\n [1, 2, -7, 5, -3, -4],\n [10, -1, -7, -7, 0, 9],\n [-6, -5, -6, 2, 8, 2]]\nB =\n[[1, 8, 2, -7],\n [6, 1, 4, 2],\n [-8, -6, 5, 5],\n [-7, -4, -1, -9],\n [-8, 0, 9, 3],\n [2, -6, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -10, 6, 2, 1],\n [4, -7, 8, -2, 6, -3],\n [9, -3, -2, -7, -2, 7],\n [6, -6, 6, 10, -7, 10],\n [2, -6, -5, -5, 10, 5]]\nB =\n[[-6, -10, 7, 1, -1],\n [-7, -10, -10, 7, 7],\n [7, 9, -6, -9, -8],\n [10, 9, -10, 2, 4],\n [8, 10, 3, 3, 6],\n [6, -4, -10, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2077", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -9, -9, 1, -10],\n [6, 5, 10, -1, 0],\n [3, -2, -3, -9, 5],\n [-1, 0, 7, 8, 5]]\nB =\n[[2, -10, 1, -8, 1],\n [-3, 6, -10, 0, 4],\n [-7, 9, -9, -7, 8],\n [7, -2, -5, 5, 5],\n [4, -3, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 7, 1, -10, -3],\n [-3, -2, -3, -10, 9],\n [6, -10, -7, -8, 3],\n [5, 9, -8, -8, 5],\n [9, 8, -7, 6, -2],\n [8, 3, -4, -5, 5]]\nB =\n[[-2, -2, -3, 10, -9],\n [5, 2, 8, -5, -8],\n [-10, 0, 9, 4, -6],\n [-2, -6, 1, -4, 8],\n [7, -10, 2, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1690", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-4, -1, 3, 7],\n [-8, -6, -7, -6],\n [-4, 5, -6, -2],\n [4, 7, 6, -1]]\nB =\n[[2, 8, 5, -7, 10],\n [1, 0, 6, 8, -4],\n [10, -1, 0, -2, 10],\n [-7, 3, -4, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 5, -10, 0, 1],\n [1, -3, 8, 9, 1],\n [-8, 7, -4, 1, 8],\n [4, 4, -10, -8, 10]]\nB =\n[[2, 8, -2, 1, 5],\n [-4, -6, 6, -1, 7],\n [-5, 7, -3, 0, 1],\n [8, 2, 4, 1, -6],\n [-4, 4, -2, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1206", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -5, -6, 5],\n [-6, 10, 8, 3],\n [-9, 5, 0, 4],\n [-1, -7, 4, 3],\n [0, -9, -9, -3],\n [-5, -10, -1, -3]]\nB =\n[[10, 8, 3, 7, 3],\n [4, -3, 7, 9, -9],\n [2, 7, 9, 9, 8],\n [-3, 3, -1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-703", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[3, 5, -8, -10],\n [6, 10, 6, 8],\n [8, 6, -5, 5],\n [-4, 9, 7, -7]]\nB =\n[[0, 8, 10, 6, -8],\n [10, 3, 1, 6, -4],\n [-5, 2, 9, 8, -3],\n [-8, 0, 5, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 9, 1, -10, 5],\n [-5, -10, 9, -3, 7],\n [10, -4, 5, -5, 5],\n [-5, 10, 2, 2, 2],\n [5, 10, -3, 8, -6]]\nB =\n[[-7, 3, 9, 1, 1, -9],\n [7, -7, -1, -4, 6, -7],\n [8, 1, -6, 2, 3, 0],\n [10, 6, -1, -2, 10, 8],\n [-10, 3, -6, -1, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2321", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, -3, 9, 6],\n [-10, -6, -1, 1, -10],\n [-7, -1, 7, 8, 3],\n [8, -3, -6, -9, -1],\n [9, -3, -4, -3, 8],\n [1, -3, -7, -10, -5]]\nB =\n[[-9, 9, -1, -10, 0],\n [10, -10, 7, 2, 9],\n [0, 8, -4, -1, -10],\n [-3, -4, -8, -8, 4],\n [-9, -1, 5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[6, -2, 7, 5],\n [4, 5, -7, -2],\n [6, 6, 0, -3],\n [7, 5, 1, 3],\n [4, 6, -8, -1]]\nB =\n[[0, -4, -3, -2, -1],\n [-8, 8, -7, -2, 7],\n [-1, -4, 1, -8, -4],\n [9, 10, 7, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, -4, -9, 6],\n [-9, 9, -6, 9, -1],\n [6, 3, 8, 7, -5],\n [9, -8, 7, -6, 7]]\nB =\n[[4, 2, 0, 9, -5, -4],\n [8, 7, 8, -10, -3, 8],\n [0, 5, -3, -3, -2, 9],\n [2, 8, 9, -1, 5, -9],\n [4, -4, 2, -5, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[4, -9, -7, 10, -5, 8],\n [3, -1, 10, 6, -5, 0],\n [-7, -4, -6, -8, -4, 0],\n [-7, 6, -8, 3, 1, 8]]\nB =\n[[-5, -2, 0, 0],\n [-5, -6, -4, 5],\n [3, 2, 6, -3],\n [6, -7, 1, 3],\n [-10, 6, 6, -10],\n [-9, 8, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -3, 10, 0, 9],\n [3, 0, 10, -6, 8],\n [-3, -2, 7, 1, -4],\n [1, -6, -10, 10, -1]]\nB =\n[[2, 2, 6, -6, -8],\n [1, 10, 0, 2, 0],\n [-8, 2, -1, 9, 8],\n [8, -6, 9, 10, -10],\n [3, -9, 7, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 1, -1, -3, -7],\n [8, 9, -3, -8, -2],\n [9, 4, 10, 5, 2],\n [4, 4, 5, -5, -3],\n [2, 2, 2, 8, 9],\n [-8, 8, -8, -7, 0]]\nB =\n[[-5, 9, 9, -10, 9, -9],\n [-7, -9, -7, 4, -5, -10],\n [-2, 3, 7, 2, 6, 3],\n [9, 10, 3, 5, 2, -9],\n [-2, -5, 10, 4, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1013", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 6, 3, 10, 0],\n [-6, -5, -10, 3, -4],\n [-2, -3, -8, -1, -7],\n [-9, 0, -1, -8, -6]]\nB =\n[[-5, -9, -9, -1],\n [-5, 7, 2, -8],\n [2, 9, 2, 1],\n [1, 0, -9, -2],\n [10, -7, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "545", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -6, -2, 3],\n [-4, 0, 4, -5],\n [5, -9, 8, -2],\n [3, -9, 7, -5],\n [-8, 10, 10, 4]]\nB =\n[[8, -4, 1, -2, 6, -7],\n [3, 2, -10, -6, -4, 8],\n [3, 5, 1, 3, 10, 6],\n [-8, -3, -3, -8, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[4, -1, -10, 2, -2],\n [-3, 3, 8, -3, -3],\n [0, 10, -4, 2, -2],\n [-3, 5, -1, -9, 7]]\nB =\n[[1, 2, -6, 3],\n [5, 1, 9, 5],\n [6, -5, 9, 3],\n [1, 0, 6, -4],\n [5, -10, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 5, -9, -7, -5, -4],\n [6, 2, -1, 0, -3, 9],\n [6, -1, -5, 6, -6, -6],\n [-6, 1, -7, 5, 3, 2]]\nB =\n[[3, -1, 7, 9, 1],\n [10, -6, -8, -7, 7],\n [-7, 8, -10, 1, 7],\n [-1, -4, 3, 3, 10],\n [-2, 0, 10, 10, -4],\n [-1, -3, 7, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1259", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -8, 6, 10, 8, -4],\n [7, 1, 9, -3, -7, -8],\n [0, -5, 5, 1, 3, -6],\n [7, 8, -6, -6, 6, -2]]\nB =\n[[-3, -4, 3, -9, 9],\n [-6, 5, 0, 8, -7],\n [-8, 0, -1, 5, -8],\n [-8, -1, 3, 9, 0],\n [-4, -4, -5, 1, 10],\n [-5, 8, 3, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-566", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-3, -7, 5, -3, 6, 0],\n [0, -5, -5, -8, -2, 7],\n [10, 3, 8, 8, 10, -5],\n [7, 2, -9, 10, -4, -1],\n [0, -8, 6, 7, 6, 4],\n [-4, 0, 1, 8, 10, -9]]\nB =\n[[-4, 6, 0, 1, -4, -10],\n [0, -9, 7, 0, -4, 6],\n [8, -4, -9, -3, 3, 2],\n [-7, -2, -10, -2, 4, 9],\n [-8, -3, -4, 10, -4, -10],\n [6, -3, -6, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -7, 8, -2, -10, 6],\n [0, 2, -8, -1, -5, 9],\n [8, 0, 9, -4, -5, -3],\n [6, 0, 8, 9, -5, 4]]\nB =\n[[10, 2, -9, -5, -3],\n [0, 8, -9, 0, -8],\n [1, 10, 0, 4, 8],\n [-3, 7, -9, -6, -8],\n [2, 8, 10, 7, 6],\n [-6, 6, 4, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[-4, 1, -6, -10, -2, -4],\n [-7, 0, -9, 4, -10, -7],\n [-6, -6, 9, 7, -9, -4],\n [5, 0, -5, 1, 1, -2]]\nB =\n[[-2, 0, 5, -1, -10, 1],\n [10, -10, -2, 1, 4, 1],\n [0, -9, -10, -1, -1, -10],\n [7, -4, -10, -3, 5, 1],\n [7, 0, -1, -10, -10, 0],\n [9, -4, -5, 1, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-9, 2, -3, -2],\n [6, -6, -3, -10],\n [-9, -1, -6, -8],\n [-10, -7, 9, 9],\n [-8, 7, 6, 6]]\nB =\n[[5, -1, -4, -6, 7],\n [-6, 0, -7, 4, -5],\n [9, 10, 7, 10, -8],\n [4, 4, -6, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -5, -10, -4, 7, -5],\n [-9, -1, 8, -10, -9, 3],\n [-7, 5, -9, -1, 1, 2],\n [0, -2, 0, 0, -8, -6],\n [-9, 2, 2, 10, 1, 9]]\nB =\n[[7, -9, 9, 2],\n [2, -9, -2, -2],\n [4, 6, -5, -6],\n [-7, -10, -1, 6],\n [-10, -2, -6, -6],\n [1, -2, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -2, -5, 7, -9],\n [-5, 0, -4, -8, -8],\n [7, -5, -10, 6, -10],\n [7, 5, -3, 4, 8]]\nB =\n[[5, -8, 6, -1, 0, 0],\n [0, -7, 7, -8, -6, -6],\n [8, -5, -2, 4, 9, -9],\n [-1, 10, -3, 5, -9, -1],\n [-7, 10, 8, -5, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, -5, 10, 1, 1],\n [-6, 2, 0, 2, -5, 3],\n [-10, 10, 5, 3, 2, 10],\n [3, 3, 0, 8, -4, 5],\n [10, -4, 6, 4, -4, 7]]\nB =\n[[7, -7, -10, -3, -5, 10],\n [-5, -10, 5, 5, -2, -4],\n [6, 7, 1, 4, -7, -5],\n [-1, 3, 7, 8, 3, 6],\n [-7, -7, -8, 2, 10, -5],\n [-2, -3, -5, 8, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "906", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -4, -9, -6, 2, 0],\n [8, 2, -8, -10, 3, 4],\n [4, -7, -7, -3, 5, -4],\n [3, 0, 2, -8, -7, 0],\n [1, -6, -1, -7, -5, 7]]\nB =\n[[10, -8, 6, -7, -9, -5],\n [1, 9, -2, 4, 1, 8],\n [4, -9, 9, -5, 1, -7],\n [9, -8, 5, -1, 6, -9],\n [6, -8, -8, -10, 2, 5],\n [-9, -1, -2, 3, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 10, -2, 0, -6],\n [4, 10, 10, 7, 6],\n [1, -8, -1, 2, 2],\n [10, -8, 9, 9, -10],\n [-3, 2, -5, -10, 8],\n [6, 7, -9, 4, 8]]\nB =\n[[-3, -8, -5, 2, 2],\n [5, -6, -10, -1, 3],\n [-3, -6, 2, -7, 2],\n [-10, -6, 0, -7, -5],\n [9, -9, 3, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 3, -5, 5, -1],\n [1, 2, 2, 3, 5],\n [0, 5, 9, 1, -8],\n [10, 7, -7, 2, 4]]\nB =\n[[4, -7, 2, -7, -4],\n [5, -7, 1, 10, 10],\n [-10, 10, -9, 8, 10],\n [-4, -7, 6, -4, -9],\n [6, 6, 1, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 5, -2, -10, -9],\n [5, 0, 9, -5, 8],\n [-1, -1, -6, 2, -8],\n [-9, -1, -2, -1, 7]]\nB =\n[[5, -7, -3, 3, 6],\n [4, 7, 2, 8, -1],\n [-8, 4, 1, 7, 3],\n [-5, -9, -9, -10, 7],\n [6, -2, -1, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 1, -2, -2, 9],\n [8, -4, 6, 5, -5],\n [0, 3, 5, 5, -9],\n [4, 7, -10, 5, -8]]\nB =\n[[3, 1, 3, 1],\n [0, 1, -8, 7],\n [-1, -5, 1, -4],\n [-5, -5, 9, -2],\n [-1, 9, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1049", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -10, -1, -1, -8],\n [1, -1, 9, -6, -4],\n [9, -3, 0, -1, -6],\n [9, 0, 8, 9, -1],\n [-7, -7, -7, -1, -9]]\nB =\n[[10, 1, 0, 5],\n [3, 8, 9, -2],\n [-7, 10, 4, 8],\n [-6, 3, -9, -4],\n [-3, 2, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -3, -4, 0],\n [6, 6, -4, 6],\n [4, -5, -4, 8],\n [3, 4, 9, 10],\n [9, -10, 2, -3]]\nB =\n[[-10, -9, -3, -7, -10, 1],\n [1, -2, 10, -10, 5, 2],\n [-1, 2, -3, 5, 8, 9],\n [5, 2, -2, -5, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-732", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, -8, 4, -7],\n [-7, -2, -6, 7],\n [2, 2, -4, -8],\n [0, 7, -7, -2],\n [-1, -2, 1, -5]]\nB =\n[[4, -10, 8, -9],\n [-7, -7, -6, 4],\n [5, 8, -8, -3],\n [-9, 5, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -10, -5, 7],\n [8, -3, -6, 5],\n [9, -1, -1, 0],\n [10, 6, 1, 0],\n [-2, 7, 8, 9]]\nB =\n[[-3, 4, 7, -1, 8, -8],\n [-4, -6, 5, -1, 6, 5],\n [8, -10, 9, -8, -2, 1],\n [-3, 6, -7, 6, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "505", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-2, -6, -6, 7, 5],\n [2, -3, -6, 9, -2],\n [2, 5, 6, 1, -10],\n [7, -4, 7, -6, 5],\n [2, 5, 0, 3, 5]]\nB =\n[[10, 8, 4, 9, 4],\n [-8, 0, -5, 7, 7],\n [-8, -4, -5, 7, -1],\n [1, 1, 10, -1, -5],\n [-7, 4, -6, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 1, 0, 6, -2],\n [-9, 0, -10, -8, -3],\n [-3, 7, 8, -10, 8],\n [-4, 7, -9, -2, -3],\n [-9, -1, 2, 8, 9],\n [10, -3, -1, -5, 6]]\nB =\n[[3, 1, -5, 8, 0],\n [1, 8, -6, 3, -7],\n [8, 9, -1, -1, -3],\n [4, 4, 7, 10, -7],\n [-3, 9, 3, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1803", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-6, -3, -1, 3, -6],\n [-7, -4, -2, 5, 4],\n [-2, 5, -9, 3, 5],\n [-3, -1, 6, 1, 1]]\nB =\n[[-3, -6, 8, 3],\n [-9, -7, 2, -1],\n [-7, 2, -5, -6],\n [2, -1, 4, -2],\n [-3, 8, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -6, -2],\n [3, 2, 10, 1],\n [-6, -5, 8, 3],\n [4, 5, -10, 1],\n [-1, 0, -8, -4],\n [6, 10, 0, 6]]\nB =\n[[-1, -1, -5, -4],\n [-2, 6, -3, 10],\n [-5, 10, -9, 8],\n [0, 0, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1281", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-8, 8, -5, -7],\n [-8, -9, 5, 9],\n [8, -2, -10, 0],\n [-3, -8, 2, -4],\n [6, 9, -10, 8],\n [5, 10, -3, 6]]\nB =\n[[0, -2, 0, -3, 6],\n [-6, 3, 0, -2, -10],\n [-5, 0, -9, 0, -10],\n [-1, -10, -9, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, -7, 4, -1, -7],\n [8, 5, -9, -7, -9, -8],\n [-3, -1, 1, 6, -1, 10],\n [2, -6, 7, -8, 2, -3],\n [3, 3, 9, 9, 9, 7],\n [6, -10, -2, 3, 5, -8]]\nB =\n[[8, -10, 6, -6, -5],\n [8, 8, 3, 0, 4],\n [8, 8, -8, 3, 4],\n [-7, 9, 10, -6, 0],\n [7, 3, 8, 5, -8],\n [1, 3, -5, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[7, 8, -1, -7],\n [10, -10, 1, 3],\n [-8, -2, 8, -1],\n [-9, 6, -5, -1],\n [10, 1, 4, -9]]\nB =\n[[4, -4, 8, 7, -4, -10],\n [3, 1, 6, 5, -2, -3],\n [6, -8, 9, -10, 10, -7],\n [5, 7, -3, -4, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, 1, -6, -3, 3],\n [8, 2, 6, -3, 9, 7],\n [-10, -6, -4, 1, 3, -2],\n [9, -3, 3, -5, -6, 2],\n [-7, 0, 7, 6, -10, -5],\n [-7, -1, -7, -10, -5, -1]]\nB =\n[[7, 10, 4, -7, -2, 9],\n [2, -8, -1, 1, -4, 6],\n [6, 0, -1, -8, 6, 7],\n [6, 6, -6, -3, -10, -8],\n [3, 0, 4, -5, -7, 8],\n [0, 9, 1, 7, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2778", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-1, -10, -6, -10, -5],\n [3, -9, 5, 3, 7],\n [3, 9, 9, 2, 3],\n [9, 1, 10, 5, 6],\n [-5, 3, -6, 4, 0]]\nB =\n[[-7, -7, -9, -10],\n [2, -9, 8, -10],\n [-8, 7, 7, -1],\n [-9, -1, 6, -3],\n [10, -10, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -9, -5, 4, -8, 3],\n [6, 2, -4, 6, 3, 1],\n [10, 0, 5, -7, 6, -4],\n [-10, -4, 1, -8, 10, -7],\n [5, 10, 4, -2, 8, -1]]\nB =\n[[8, -4, -2, -3, -7],\n [-1, 7, -1, 8, 6],\n [-6, 10, -6, -8, -3],\n [-4, -8, 10, 8, 7],\n [-2, 7, -9, 4, -3],\n [4, -6, 9, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2256", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, 7, -5, 9],\n [9, -6, -6, 8, -2],\n [-1, 10, 9, -1, 2],\n [7, 0, 6, 6, -3],\n [-3, 7, -6, 2, -5],\n [-5, 8, -6, 3, -9]]\nB =\n[[-9, -2, -9, 0, -3, 6],\n [3, 4, 0, -10, 1, -10],\n [-4, -5, -1, 9, -2, -6],\n [1, 4, 4, -4, -3, -1],\n [-5, -8, 8, 4, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 10, -9, 0],\n [3, -7, -7, -5],\n [-6, 8, 7, -3],\n [8, -7, -5, -4]]\nB =\n[[-2, -2, -2, 7, 7],\n [-7, -8, -10, 6, 5],\n [-2, 4, 7, 6, -4],\n [5, -10, -2, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[3, 0, -10, 4, 3],\n [-1, 0, 7, 1, 10],\n [-5, 5, -9, -10, 3],\n [-1, -6, 2, -1, -2],\n [1, -5, 7, 6, -10]]\nB =\n[[-10, 1, 7, 0],\n [-2, -7, -8, -10],\n [-2, 1, -4, -7],\n [-6, 9, -1, 1],\n [9, 0, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -2, 4, 6, 1],\n [7, -5, 10, 8, -6],\n [6, -1, -8, -7, 1],\n [4, -7, -7, 0, -4]]\nB =\n[[-4, 8, -7, 1, 9, 4],\n [-8, 6, -10, 1, 8, 0],\n [1, -1, -4, -8, -7, -5],\n [5, 6, -4, 7, 2, 1],\n [-1, 8, -10, 5, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[10, 3, 3, 2, -6, 6],\n [10, -6, -10, 3, 9, -2],\n [-1, 9, -5, 2, 3, 0],\n [10, -10, 2, -9, 4, 10]]\nB =\n[[4, 7, -3, -5, -4, 9],\n [-7, 1, -8, -9, 4, 8],\n [-10, 9, -3, 6, -4, 10],\n [4, -5, -2, -8, 3, 4],\n [-9, -7, 9, 8, -9, -7],\n [4, -1, -3, -5, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 10, 5, -1, -1, 2],\n [-7, 10, 1, -9, -9, -1],\n [5, 4, -5, -8, 8, -4],\n [8, -9, -6, 10, -10, -4],\n [-7, -3, -3, 9, -4, 9],\n [5, -9, -1, -7, 6, 8]]\nB =\n[[-8, 8, 3, -5],\n [-3, -8, 2, 2],\n [2, 5, -5, -3],\n [5, -4, 0, -7],\n [6, -7, -2, -9],\n [-3, -4, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1316", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[7, -1, 7, 2, -5],\n [-7, -7, -3, 9, 8],\n [0, 1, 10, 0, -8],\n [10, -4, 5, 10, 6]]\nB =\n[[-3, 4, 1, 1, 4, 0],\n [4, 3, 7, -4, 9, -4],\n [4, 4, 10, 7, -2, 10],\n [-10, 1, -1, 7, 8, -9],\n [5, 0, -2, 4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[1, -5, 8, -4, 10],\n [9, 5, 6, 9, -3],\n [-7, 9, -8, 7, 9],\n [1, 2, 7, 10, -4],\n [-3, 1, -10, 9, -2],\n [-1, -1, -8, -9, 10]]\nB =\n[[-7, 6, 1, 7, 7],\n [3, 8, 3, -6, -10],\n [0, 10, -5, -2, -5],\n [-6, 3, -9, 10, 9],\n [4, -6, -10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 6, 5, 3, 5, -5],\n [-3, -4, -8, -3, 9, 8],\n [-5, -6, -9, 4, 2, -1],\n [-4, 1, 7, 10, -1, 0],\n [4, 7, -8, 1, -7, -6],\n [0, -3, 8, 0, 0, 9]]\nB =\n[[-1, 3, -2, 1, -4, 2],\n [-6, 6, 4, -9, -6, -5],\n [-5, 6, -3, 2, -3, 0],\n [0, 8, -7, 2, 9, 6],\n [-9, -10, -4, -10, -2, -7],\n [-5, 8, 4, 10, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2160", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 6, 2, 1, 9],\n [-8, 0, -8, -8, -8],\n [-6, 6, 2, -10, -2],\n [1, 2, -9, -4, 7],\n [-4, 2, -6, -3, -3],\n [-3, -4, -8, 7, 4]]\nB =\n[[4, 4, -3, -10, -3],\n [-10, 10, 9, 2, 2],\n [0, 8, -8, 2, -4],\n [-9, 10, 9, -6, -5],\n [-4, 4, -9, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 0, 3, 6],\n [1, 4, 2, -8],\n [7, -8, -2, -6],\n [8, 8, 8, 1]]\nB =\n[[1, 9, -2, 0],\n [9, 7, -4, -3],\n [9, -2, 4, 1],\n [10, -5, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -3, -7, -7],\n [-1, 7, 0, -10],\n [-8, 5, 2, 4],\n [4, -10, 4, 4],\n [-9, 4, -7, 10],\n [-6, 6, 5, -10]]\nB =\n[[7, -8, 7, 2, -1],\n [-9, 8, 9, 0, -1],\n [0, 5, 2, 4, -4],\n [2, 4, -10, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -4, 6, 10, 2],\n [-4, 9, -10, -1, -10],\n [-1, 5, -9, 10, 4],\n [-8, 10, -9, -9, -10],\n [5, 9, -8, 4, 7]]\nB =\n[[-10, 5, -7, 0, -9],\n [-10, -3, -6, -6, -4],\n [-1, 5, 0, -2, 1],\n [-1, -6, 1, -5, -6],\n [-4, 0, -9, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1641", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 4, -4, 3, -2, -3],\n [-7, 6, 2, -2, 4, 7],\n [1, -8, 7, -8, -4, 10],\n [-2, -5, 4, -9, 1, 1],\n [-8, 5, -8, 10, 5, -4]]\nB =\n[[6, 0, 1, -4, 2, -10],\n [-4, -3, -3, 1, -10, 6],\n [-6, 1, 9, -8, 3, 6],\n [3, -2, -10, 6, -3, -4],\n [7, -7, -8, 7, -2, -1],\n [-7, 6, -7, -10, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-10, 9, -5, -7, 3],\n [10, 9, 10, -8, 8],\n [1, -5, 3, 7, 2],\n [-3, 4, 10, 9, 8],\n [6, -7, -7, -2, -10]]\nB =\n[[5, -9, 9, -5, -10],\n [0, 3, -9, 6, 2],\n [-3, 3, 10, -8, 9],\n [2, 5, 6, 2, -6],\n [6, 9, 5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, -1, -6, 8, -6],\n [0, 7, -3, 7, -4, -9],\n [-9, 3, -5, 3, 8, 8],\n [1, -8, 6, 10, 1, 7]]\nB =\n[[-7, 2, 2, 8, 4],\n [-2, 7, -3, -7, -7],\n [-1, -7, -9, 5, -7],\n [-1, -1, -9, 8, 8],\n [-9, -4, -3, 10, 6],\n [6, 10, -3, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 0, 0, 10, -5],\n [8, 6, -8, 10, -9],\n [1, 5, 4, 5, 1],\n [-7, 10, 9, 1, 5],\n [6, 8, 8, -6, 2]]\nB =\n[[3, 0, 6, 9, 4],\n [3, -8, -9, 4, -4],\n [-4, -2, 8, 8, -10],\n [1, -9, -2, -4, 7],\n [-1, 5, -10, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, -7, 1, -7],\n [-6, -6, -2, 6],\n [-10, -2, -4, 10],\n [7, 8, 0, 10],\n [-1, 3, 4, -5],\n [-8, 9, 10, -9]]\nB =\n[[4, -1, 7, 7, 1, -8],\n [3, -2, -7, 0, -2, 4],\n [-1, -6, -9, 5, 6, 5],\n [-5, 5, -4, -7, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 2, -6, 0, 3],\n [8, 2, -10, -6, -8],\n [-8, -1, -6, -10, 5],\n [-2, -8, 7, 1, 9],\n [-4, -10, -3, -10, 3]]\nB =\n[[10, -7, -8, -4, 6, 10],\n [-4, 0, 6, -10, -8, -8],\n [9, 0, 4, -3, -5, -3],\n [-1, 0, 7, -3, 5, 10],\n [-1, 4, -6, -9, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1811", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -2, 0, -6, -9],\n [-1, 9, 4, -7, 1, 9],\n [-9, 6, -9, -1, 7, 9],\n [10, 0, -3, -1, -5, 5],\n [10, 3, 5, -2, -4, -8],\n [-8, 5, -2, 4, 3, -7]]\nB =\n[[-8, 9, -3, 3],\n [4, 1, -3, 10],\n [2, 6, 5, -3],\n [3, 10, 5, 1],\n [7, 2, -6, -7],\n [3, -7, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -5, -10, 6, 8, 4],\n [-6, -2, -6, 9, 5, -1],\n [6, 2, -4, -2, -9, -2],\n [-7, -4, -2, -8, -1, 9],\n [6, -3, -10, -8, -3, 8],\n [10, -7, -10, 1, 3, 4]]\nB =\n[[-3, -10, 4, 7, 5, 8],\n [-7, 3, 0, -6, 3, -5],\n [8, 5, -8, -9, 1, 8],\n [-2, 6, -6, -2, 0, -6],\n [-5, -8, -6, 7, 6, -3],\n [0, -8, 7, -7, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 5, 3, 4],\n [0, 8, 8, 0],\n [6, 6, 3, -8],\n [4, 8, 1, -3],\n [-8, 6, 3, 4],\n [-9, -2, -5, 2]]\nB =\n[[10, 3, -7, 7, 2, 3],\n [-9, -5, 3, -10, -10, -8],\n [-10, 6, -5, -9, 0, 0],\n [6, 5, -2, -9, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2120", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -8, -9, -5, -10],\n [10, 7, 6, 6, 6],\n [0, -5, -9, 8, -2],\n [-7, -1, 10, -2, -3],\n [-4, 10, -8, 6, -6],\n [8, 7, -5, 1, -3]]\nB =\n[[-7, 3, 2, 4, 5, 8],\n [7, -10, 4, 1, -3, 10],\n [8, 8, 4, 9, 8, -4],\n [-9, 4, 6, -2, 0, 0],\n [4, -5, 8, 7, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2660", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -8, 0, -10],\n [-9, 6, 10, -4],\n [-7, 0, -1, -8],\n [3, 4, 9, -4],\n [-4, 2, -5, 4]]\nB =\n[[-5, 5, 3, 3],\n [-10, -10, 1, -2],\n [9, 6, 5, 10],\n [-5, 8, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, 2, -1, 5, 2],\n [5, -2, -7, -4, -3, -7],\n [0, 2, -5, 10, -9, -7],\n [-5, 1, -5, -5, 6, -3],\n [-10, 9, -8, -4, 5, 1],\n [8, 10, 9, -8, -3, -4]]\nB =\n[[-9, -10, -4, -4, -7, 4],\n [1, 4, 9, 3, 0, -2],\n [-8, -8, 5, 5, 1, -6],\n [-7, 6, 9, 7, 2, 9],\n [7, 3, 6, 0, 3, -9],\n [-10, 2, 4, -6, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -3, -5, -7, 6, 2],\n [-4, 7, 5, -7, 1, -4],\n [-1, 9, -4, -8, -4, -9],\n [4, 4, -1, 4, 8, 5],\n [-1, 4, -5, 10, 9, 4],\n [-3, -3, 4, 6, 2, 8]]\nB =\n[[-10, 8, -4, -8],\n [7, 9, 10, -10],\n [-5, -4, 1, 1],\n [6, -1, 1, -1],\n [0, -8, 1, 5],\n [-7, 2, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1510", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -10, 1, 8, 5],\n [-3, 3, -1, 4, -7],\n [-6, -3, -2, 6, -3],\n [0, 10, 2, 7, 3],\n [-10, -1, -7, -6, 10],\n [4, -6, 6, 5, 2]]\nB =\n[[10, -3, 8, -1, 10, -1],\n [-2, -7, -5, 3, 10, -5],\n [-6, 8, 4, 1, -3, 3],\n [-2, -4, 0, 7, 0, -4],\n [-1, 4, -6, -7, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -2, 0, -9, -9, -9],\n [-2, -2, 4, 0, 1, 3],\n [2, 1, -10, 10, 7, 1],\n [-10, 10, 8, -6, 0, 2],\n [-10, -5, 7, 1, 2, 3],\n [-8, -8, -5, -9, -10, 8]]\nB =\n[[-7, -2, 4, 3, -10],\n [-3, -1, -2, 1, -6],\n [-7, 0, 8, 7, 2],\n [-7, 0, 4, -7, -7],\n [-1, 7, -6, -8, -4],\n [-1, -6, 5, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1903", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, 0, 10],\n [0, 1, 5, 10],\n [5, 3, 5, -10],\n [-8, -3, 10, 2],\n [9, -2, 9, -10]]\nB =\n[[-9, -2, 8, -3, 7, 9],\n [1, -1, -6, 6, -6, -1],\n [6, 1, -6, -6, 8, -4],\n [5, 8, 2, 4, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 10, 0, -5, -2],\n [-6, 2, -10, 0, 5],\n [-8, -9, -4, -10, 10],\n [-6, -6, -6, -1, -5],\n [0, 3, 1, -7, 5]]\nB =\n[[-10, 8, -9, 4],\n [4, -6, -2, -10],\n [-1, -4, -9, 1],\n [-8, 5, 10, 3],\n [1, 9, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 5, 2, 6, -2, 6],\n [10, 1, 6, 8, -2, 0],\n [3, -10, 5, -2, -7, -8],\n [9, 6, -8, -6, -1, 5],\n [0, -8, 6, 5, 8, 3],\n [-8, -3, -7, -1, -7, 10]]\nB =\n[[9, -1, -1, 7, 8, -6],\n [-1, 1, -10, -7, -1, -8],\n [-1, -5, -2, 5, 1, 7],\n [0, 8, -3, 1, 4, 8],\n [1, 6, -10, -9, 3, 9],\n [5, -3, 6, -6, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-2, 7, 1, -1, -8, -5],\n [-2, 2, -3, 9, -6, -1],\n [-2, 0, -3, -6, -2, 7],\n [2, -4, 10, 9, -7, -9]]\nB =\n[[-8, 7, 7, -8, -1, 4],\n [-2, 0, 5, 9, -3, 6],\n [-4, -4, -7, 1, 2, -6],\n [0, 1, -7, 6, 8, -7],\n [10, -2, -5, 5, 4, -2],\n [7, 0, -6, 4, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 7, 5, 8],\n [-10, 6, 2, 7],\n [-7, 7, 7, -6],\n [6, -3, 6, 1],\n [0, -1, -5, 9],\n [0, 9, 1, -7]]\nB =\n[[6, 9, 2, -6],\n [3, -8, 4, -7],\n [-1, 7, -4, -2],\n [-8, -8, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 9, -2, -8, -9],\n [5, 7, 0, -7, 3],\n [8, 1, -2, 0, 3],\n [-7, -10, -2, -6, -5]]\nB =\n[[-5, 9, -5, -3, -6],\n [7, 2, 4, -4, -3],\n [6, -7, -4, -9, 6],\n [6, 4, 6, 0, 7],\n [-1, -4, -8, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -5, -5, 2, -6],\n [6, -7, -4, -3, -6],\n [6, 9, 10, 4, -2],\n [7, -9, 6, -1, 4],\n [-1, 8, 5, 4, -10],\n [-7, -1, 7, -5, 0]]\nB =\n[[-4, -1, 6, -6],\n [6, -3, -6, 7],\n [-1, -8, 7, 2],\n [-8, -3, 4, 5],\n [0, 10, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 6, -8, 8, -4],\n [-9, 1, -7, -5, -3],\n [-2, 2, 5, -1, 3],\n [0, -7, 2, 2, 8],\n [10, 4, -9, 5, -6],\n [5, -7, -5, 6, 1]]\nB =\n[[-10, -5, -4, -2],\n [-3, 0, 8, -3],\n [-1, -9, 1, -8],\n [-5, 2, -6, -10],\n [-6, -9, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -6, -1, -9, 7],\n [5, 5, 2, 2, -4],\n [-7, -6, 7, 3, -6],\n [6, -5, 3, -3, 4]]\nB =\n[[0, 7, 7, -9, 4, 1],\n [-9, 2, 6, 0, -1, 0],\n [4, 3, 2, 10, 10, 8],\n [10, -6, 4, -1, -10, -5],\n [7, 0, -6, 2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -2, -6, 2, -1, -6],\n [-9, 8, -4, 2, 3, -3],\n [4, 3, -8, -3, 9, -2],\n [-10, -4, -3, -3, -3, -5]]\nB =\n[[-1, -9, -7, 2, 3, -2],\n [-1, 9, 2, 0, 1, -9],\n [3, -7, -6, -5, 1, 0],\n [-2, -7, 8, 9, -2, 9],\n [-6, -5, -3, 5, -1, 9],\n [-5, 0, -6, 3, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 4, 9, -10, 0, -4],\n [-8, -5, 9, 3, 5, -4],\n [-9, 7, -2, 4, 7, 3],\n [-10, 7, 6, -1, -1, 4],\n [10, 3, 2, -10, -10, -8]]\nB =\n[[5, 4, -7, 7, -5],\n [4, 3, -6, -4, 2],\n [4, 0, 2, 7, 2],\n [-6, 4, 5, -9, -4],\n [-2, -4, 8, 10, -1],\n [9, -1, -7, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -5, 6, -1, 2, 1],\n [-10, 2, 5, 4, -10, -9],\n [7, 4, 7, -8, -2, 9],\n [-5, -3, 10, -6, 2, -8],\n [2, -4, -5, 5, -2, 8],\n [-6, 9, -7, -5, -7, 6]]\nB =\n[[4, 0, -9, -5],\n [1, -4, -9, 3],\n [-2, -1, -2, -1],\n [-6, -4, -8, 9],\n [9, 8, -9, -1],\n [-7, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -4, -9, -8, -9],\n [-1, -2, 1, -2, 9],\n [-6, -4, 2, -6, 10],\n [-8, -5, -5, 3, -5],\n [3, -10, 8, -1, 8]]\nB =\n[[-5, -9, 1, -10, -10, -2],\n [9, -9, -7, 4, -3, 10],\n [10, 1, 10, -6, -10, 4],\n [-6, 9, 9, -10, -5, 4],\n [-6, -9, -10, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-625", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -4, -5, -7, -3],\n [2, 7, -1, -7, 1],\n [-2, -10, 7, -2, 2],\n [-7, 1, 7, -8, -2],\n [-4, 0, -4, 3, 1],\n [-4, 4, 10, 10, -2]]\nB =\n[[-2, 8, 2, -2, 1, 8],\n [10, 7, -8, 4, -5, -2],\n [2, 6, 0, -7, -5, -2],\n [1, -9, -5, -7, 2, 2],\n [9, -4, -5, 10, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, 9, -6],\n [-3, -3, -8, 10],\n [-5, -1, 3, -8],\n [-5, -5, 8, 9],\n [-10, -8, -8, 10]]\nB =\n[[1, -2, -3, -6],\n [4, 1, 4, 5],\n [9, 9, -4, 5],\n [2, -6, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1472", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[4, -3, 10, -4],\n [2, -9, 8, -6],\n [0, 10, -6, 1],\n [2, -7, -5, 4],\n [5, 5, 8, 4]]\nB =\n[[8, -10, -10, 4],\n [-8, 9, 10, 0],\n [8, 1, -6, -9],\n [7, -6, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 2, -4, -3, 0],\n [8, -10, -7, -5, 4, -7],\n [3, -6, -3, -10, 7, -5],\n [-7, -9, -8, -5, -8, 2],\n [-6, 7, 3, -3, -8, 1]]\nB =\n[[2, -4, -8, -9],\n [-9, -1, 10, 3],\n [3, 6, 1, -1],\n [0, -5, -6, 8],\n [-6, -4, -9, 4],\n [-1, 6, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -3, 8, -6, 2, 3],\n [3, 3, 10, 1, -8, -8],\n [6, -4, -7, 3, 0, -8],\n [-8, -6, 10, -10, 9, -9],\n [-1, -7, 10, 9, 8, 2]]\nB =\n[[-7, -6, 4, 3, 2, -3],\n [-3, -4, -2, -8, -5, -1],\n [-4, 3, -1, 1, -5, -4],\n [6, 5, 7, 0, -9, 8],\n [6, -2, 4, 4, 10, -1],\n [-10, 3, -7, -3, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -9, 7, -9],\n [0, 6, -7, -7],\n [-8, -7, 4, -10],\n [0, 4, -7, 2],\n [-8, 10, -9, -7],\n [-4, -10, -7, 5]]\nB =\n[[-2, -6, -9, 5],\n [-6, -6, -3, 1],\n [7, 5, 6, -7],\n [-9, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -4, 2, 7],\n [-4, 0, -6, -7],\n [10, -8, 9, 5],\n [8, -6, -7, -1],\n [-6, 1, 0, 9],\n [-1, 1, -6, 5]]\nB =\n[[-7, -7, -2, -4],\n [3, -3, -10, 10],\n [-4, -1, -6, 3],\n [7, 0, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 9, -5, -10],\n [-6, 0, 6, -4],\n [10, -5, -4, -4],\n [-9, 10, 8, -4],\n [-1, 6, -3, 2]]\nB =\n[[-8, -2, -1, -8, -1],\n [7, 4, -2, -3, -10],\n [1, 3, 1, -2, -7],\n [-1, 9, 8, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-508", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, 6, 9, 9, 3],\n [0, 7, 0, -10, -2],\n [8, 1, -1, -4, -6],\n [-1, 4, -10, 1, 6],\n [-2, 7, 3, 8, -5],\n [-3, -9, -9, -4, -2]]\nB =\n[[-10, -5, -3, 2, 10, 2],\n [0, -1, 4, -7, 6, 6],\n [1, 3, -6, -4, 10, -10],\n [-3, -3, -10, 9, 10, -2],\n [-7, 3, -6, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 9, 8, 0, 9, -9],\n [9, -1, -10, 10, 5, -3],\n [-2, 7, -5, 3, 10, 3],\n [-2, 10, 6, 6, -9, -5],\n [-6, -6, -3, 1, -1, 1],\n [-3, -6, 1, -4, 9, -1]]\nB =\n[[-5, 9, -7, 8, -3],\n [-4, -3, -1, -6, 9],\n [-3, 8, 7, -7, 0],\n [3, -9, 0, -3, -9],\n [-3, 2, -7, -8, 3],\n [2, -2, 6, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1001", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, 8, 10, 10, -6],\n [10, 1, 2, 0, -8, 1],\n [10, -10, 9, -3, -4, 4],\n [-10, 6, 9, 4, 7, 5],\n [9, -4, 1, 3, 1, -4]]\nB =\n[[-1, 4, -1, 9],\n [7, 0, 0, 6],\n [-4, -3, -8, -2],\n [-8, 2, 2, -5],\n [-6, -9, -3, 5],\n [-8, -7, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -8, 1, 7, -7],\n [7, -7, -8, -10, 7],\n [-7, 7, -8, 6, 2],\n [9, 4, 3, -3, -8]]\nB =\n[[7, 4, 5, 0, 9, 5],\n [-4, -8, 7, 7, 7, 1],\n [9, 5, -7, -2, 10, 4],\n [-10, -2, -10, 8, -5, -6],\n [-6, 3, 5, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 8, -10, 3, 1],\n [8, 4, 4, 8, 0],\n [10, 9, -10, -10, 9],\n [-5, -6, 1, -7, -6],\n [0, 8, -9, 7, -1],\n [-3, -9, 9, 1, -2]]\nB =\n[[1, -1, -4, -7],\n [-3, 2, 1, 4],\n [8, 3, 4, -7],\n [2, -7, -5, -2],\n [2, 1, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, 2, -4, -7],\n [-5, 3, -5, -7, 10],\n [-2, 10, -6, -9, -6],\n [1, 3, 1, -8, -3],\n [4, 1, 6, -2, 2],\n [9, -3, 0, 6, 9]]\nB =\n[[-7, 1, -4, -5],\n [10, 0, 9, -3],\n [6, -2, 5, 3],\n [3, 1, -4, 6],\n [7, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 8, -6],\n [-6, -5, -3, 4],\n [-9, 4, 10, 1],\n [-7, 2, -9, 4],\n [-8, 0, -10, 9]]\nB =\n[[-1, 6, -8, 4, -2],\n [0, 6, 0, 4, 2],\n [-9, 8, 2, -4, -4],\n [-5, 2, 6, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 6, -9, 1, -8],\n [-7, 0, -5, 1, -1],\n [-4, -9, 7, -5, 5],\n [3, 2, 3, 8, 0]]\nB =\n[[1, 4, 10, 10, -3],\n [9, -7, -5, 9, 9],\n [5, 8, 4, 7, -10],\n [5, 9, 0, -1, -3],\n [10, -8, 8, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -1, -8, 2, -1, -10],\n [4, 2, -7, 9, 6, 5],\n [-7, 1, 10, -4, -7, 10],\n [-3, 1, -7, -1, 2, -6],\n [-6, 8, 4, -10, -10, 4]]\nB =\n[[5, -7, 4, -1],\n [0, 7, -5, 9],\n [3, -4, 7, -7],\n [7, -3, 6, -1],\n [-3, -5, -10, -10],\n [-2, 2, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 0, -3, -5],\n [-3, -3, -10, 5],\n [0, 2, 3, 5],\n [-3, -7, 3, -3],\n [-5, -9, 10, 2],\n [6, 7, -6, 0]]\nB =\n[[-7, 2, -7, -6, -9],\n [2, -2, 2, -5, -9],\n [-9, -1, -3, -10, 7],\n [-3, 4, 2, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-8, 9, 0, -4, -6],\n [8, -8, -10, -2, 4],\n [-7, -10, 7, 8, -4],\n [-6, -1, -7, -3, -7],\n [9, -9, 10, -10, 2],\n [-1, 10, 7, 6, 5]]\nB =\n[[-2, -5, -3, -1, 7, 9],\n [-8, 6, -8, 6, 6, -1],\n [1, 2, -3, -8, -10, -6],\n [7, -10, -5, -9, -5, -2],\n [-7, 1, -6, 3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 5, -4, -7, -6],\n [-7, 1, 8, -8, -2],\n [7, -9, 10, -2, 4],\n [6, -9, 2, 2, 4],\n [-10, 9, 2, 6, -2]]\nB =\n[[-4, 10, -6, 9, 9],\n [4, 1, -4, 4, -1],\n [4, -8, 4, -2, -8],\n [-1, -5, -8, -5, -2],\n [-4, 10, -9, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1639", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 0, -4, -7, -8],\n [10, -6, -8, -4, 8],\n [10, -4, 8, -2, 1],\n [-4, -2, -1, -3, 1],\n [4, -5, 4, 1, -6]]\nB =\n[[-4, -4, -6, -8, 4, -2],\n [2, -6, 4, 6, -2, -6],\n [-4, -6, 9, 7, -5, -4],\n [6, 3, -6, 7, 5, 8],\n [-9, -5, -7, 2, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-528", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[0, 8, -4, 8],\n [-6, -9, 8, -1],\n [-9, -8, -10, 10],\n [6, -6, 10, 0]]\nB =\n[[4, -4, 1, 1, 3, 5],\n [1, 1, -1, -3, 3, -5],\n [-10, -1, -3, 6, 1, 0],\n [5, -9, 0, 9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 7, -4, 8, -8, -6],\n [10, -1, -7, 6, -4, -4],\n [5, 7, 4, -7, 3, 1],\n [-8, -3, 10, 6, 6, 10],\n [0, 0, 6, 4, -4, 2],\n [5, 3, 3, 6, 9, 2]]\nB =\n[[6, 8, -1, -7, -1, 9],\n [-2, -7, -6, -6, -2, 5],\n [-10, 9, -10, -6, -6, -6],\n [-9, -4, 9, -8, -5, 1],\n [5, -1, 4, 3, 4, -4],\n [-5, -5, -2, -7, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-5, -2, -5, 1, -6, 9],\n [-8, -2, 7, -1, 1, -3],\n [-9, -1, -9, 0, -1, 3],\n [-5, 10, -3, 8, -3, -1]]\nB =\n[[4, -3, -2, -1, 2, 0],\n [-4, -5, -5, -4, 3, -10],\n [2, 4, 10, 8, 6, -3],\n [7, 6, 4, -5, -10, 1],\n [3, 0, 4, -6, 2, 10],\n [-9, 0, -3, -8, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, 1, -1],\n [-6, 9, -7, -10],\n [10, 3, 6, 9],\n [10, 6, -5, 6],\n [7, 1, 0, -9],\n [2, 4, -2, 6]]\nB =\n[[1, -5, 6, -9, 3],\n [8, -3, -9, 1, 4],\n [-4, 0, -2, -8, 0],\n [-1, -2, -3, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1857", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -2, -10, -9, 0],\n [7, 4, -2, -6, -2],\n [8, -9, 4, -7, -8],\n [1, -4, -4, 8, 10]]\nB =\n[[-8, 3, 5, 6, 9],\n [-7, -10, 8, 2, -1],\n [-3, 6, 10, -5, 8],\n [10, -4, 10, -3, -10],\n [-7, 10, 5, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[7, 6, 7, 1, -6],\n [-2, 6, 8, -4, 5],\n [4, -2, -5, -5, -10],\n [8, -6, 3, -4, 1],\n [0, 7, -3, -1, -4]]\nB =\n[[0, -5, 7, 8],\n [8, -6, 2, -10],\n [-3, -8, 10, 1],\n [6, 8, -7, 4],\n [-3, 6, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, -5, -4, -1, 4],\n [-8, -9, -2, 6, 4, -10],\n [-7, 6, 4, 1, 8, 9],\n [-10, 4, 1, -1, 9, -2],\n [9, -2, 4, 8, 1, -5]]\nB =\n[[-6, -5, 3, -2, -3, -9],\n [8, -4, -3, 10, 0, -3],\n [-7, -3, 3, 10, 0, -4],\n [-10, 9, -5, -10, -4, 4],\n [5, 0, -3, -9, 5, -3],\n [3, 3, 9, 8, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[1, -7, -4, -5, -9],\n [-9, -6, -10, 10, -1],\n [5, 0, 5, 1, -2],\n [-10, 2, -4, 5, 2]]\nB =\n[[-8, -6, -1, 1, -5],\n [3, -9, 9, -6, 8],\n [0, -6, 1, -7, 2],\n [-2, 5, 6, -6, -9],\n [4, 6, -6, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[1, 7, -8, 1],\n [-10, -7, -4, 4],\n [2, 6, -4, -7],\n [1, 2, 9, 1]]\nB =\n[[-6, 5, 9, 5, -6, -9],\n [-8, 7, -3, 4, 3, -5],\n [-1, -3, 5, 9, 1, 10],\n [7, -8, 5, -10, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-6, 7, -7, 8, 9, 3],\n [-10, 7, -6, -10, 1, 4],\n [1, -4, 6, 9, 0, 0],\n [5, 6, 1, 3, 7, 2],\n [4, 9, -6, 10, 1, 4],\n [7, 5, -10, 4, 6, 3]]\nB =\n[[-7, -10, -2, -5, -10],\n [-8, 4, -8, -3, 5],\n [-4, -1, 7, -1, -3],\n [10, -5, 3, 0, -4],\n [-8, -4, -1, 3, 8],\n [10, -1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -10, 10, -8, -4],\n [-6, -6, -2, -8, -6],\n [3, 2, 5, 3, 5],\n [-6, 8, -3, -2, -5],\n [-6, 8, 5, 5, -4],\n [0, 0, 3, 10, 9]]\nB =\n[[-8, 7, -8, 3, -8],\n [-4, 7, -1, 4, -5],\n [-2, -8, -10, -5, -6],\n [-4, 4, 9, -7, -3],\n [4, 1, -7, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1538", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, 9, -5, -4],\n [5, -3, -1, -7, 10],\n [-6, 5, -10, 1, 0],\n [-7, -1, 0, -5, 2],\n [-3, -6, 7, 4, -7]]\nB =\n[[5, -8, -3, -5, -6, -5],\n [7, 8, 9, 0, -6, -5],\n [-7, -6, 0, 1, -5, -4],\n [-10, 0, -9, -2, -5, 2],\n [4, 5, 5, -9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1895", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -2, 3, 8, -9],\n [-10, -9, 4, -8, 3],\n [-5, -7, 3, 7, 3],\n [-5, 7, -1, 9, -3],\n [-4, 0, -9, 0, -4]]\nB =\n[[2, 6, 8, 4, -7],\n [8, -8, -10, 9, -5],\n [2, 1, -7, 4, 10],\n [-6, 10, 6, 5, 4],\n [3, -3, -2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, 2, -4, 7],\n [6, 4, 5, 1, 5],\n [6, -7, 7, 2, 2],\n [-6, 7, -6, -9, -6],\n [3, -1, -5, 4, 1],\n [2, -8, 9, 1, -1]]\nB =\n[[-3, 5, -10, 10],\n [0, -8, -10, -3],\n [4, 6, 8, 7],\n [-5, 5, -1, 9],\n [-8, -9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -10, -3, 1, 6],\n [-7, 6, 7, -5, -10],\n [3, -4, 2, 1, -7],\n [10, 2, 5, -7, -8]]\nB =\n[[10, 6, 8, -6, -6],\n [-5, 10, 4, 10, -8],\n [-4, 4, -8, 1, 7],\n [2, 1, 9, 3, -6],\n [1, 9, 0, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -5, 5, -1, -2],\n [-7, 5, 5, 8, 8],\n [-10, 4, -9, -6, 4],\n [0, 3, 5, -4, 8],\n [9, -4, -5, 6, -1],\n [10, -8, -9, 8, -4]]\nB =\n[[10, 9, -6, 9, 1, 1],\n [1, -7, 2, -6, 6, 7],\n [-10, -6, -6, -7, -7, 7],\n [7, -3, -10, -8, 7, 4],\n [-5, -6, 7, -7, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 7, -7, -4, -10, -3],\n [-6, 10, 3, 5, 9, 1],\n [10, 3, 10, -10, 5, -7],\n [9, -3, -6, -8, 2, -4],\n [-5, 5, -1, -9, 0, 2]]\nB =\n[[-6, 7, 6, 5, -7, 7],\n [-9, 2, 6, 5, -10, 9],\n [-6, 2, -2, -10, 6, 7],\n [-4, -9, -6, -1, -10, 7],\n [-1, -2, -6, -4, 6, -7],\n [-10, 6, 7, 2, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 8, 5, -6],\n [6, -8, 1, 4],\n [6, 10, 6, 3],\n [2, 1, 3, -3],\n [9, 6, 3, -9]]\nB =\n[[5, -3, 8, -3, -4, -7],\n [4, 9, -10, 3, -3, 9],\n [10, 2, 5, -2, 7, -8],\n [10, -10, -6, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 8, 2, -4, -3, 1],\n [-1, 6, -7, -5, 6, -8],\n [-3, 10, 6, -7, 6, 9],\n [1, -7, 8, -9, -6, 6]]\nB =\n[[-3, -5, -10, 4],\n [2, -6, -3, 7],\n [8, -2, -4, -2],\n [8, -7, 7, 10],\n [5, 7, -6, 5],\n [3, -1, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -2, -3, 10, -1, -8],\n [-10, 10, 7, -7, -6, -5],\n [-10, 9, -6, 0, -3, -3],\n [8, -8, -6, 3, -6, -8],\n [4, -4, 7, -4, 9, 10],\n [-8, -3, 8, 8, -3, -3]]\nB =\n[[2, -8, 4, -9],\n [2, 8, 4, 2],\n [8, 1, 0, 9],\n [2, 10, -3, 2],\n [-7, 8, 7, 4],\n [10, -8, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1999", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-7, 0, -5, -3],\n [-7, 8, 8, -5],\n [-3, -6, 9, 9],\n [-2, -8, 0, 9],\n [-3, 9, -1, -1],\n [7, 3, -6, 10]]\nB =\n[[7, 2, 0, -8, 1, 3],\n [-2, -8, -3, -3, 10, -1],\n [9, 9, 2, 4, 8, -1],\n [10, 8, 1, -10, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, 8, 7, -9, 8],\n [8, -1, -2, 0, -4, 9],\n [-5, -9, 5, 7, -8, -8],\n [5, 10, -10, 8, -5, 8],\n [-5, 9, 6, -5, 3, 2]]\nB =\n[[3, -5, 9, 3, 8],\n [9, -6, 9, 0, -8],\n [8, 7, -7, 3, 8],\n [-8, -8, -7, -9, 10],\n [-4, 5, -6, 6, 2],\n [0, -3, 9, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -1, -3, -2, 6],\n [1, -3, -2, -1, 1],\n [0, 6, 7, -10, -2],\n [1, 2, 5, -5, 3],\n [8, 5, 6, -5, 8],\n [-7, -5, 2, 2, -8]]\nB =\n[[2, -2, -7, -9, 5],\n [-2, -6, -4, -1, -7],\n [1, 5, 1, 7, 4],\n [5, -7, -3, -1, -3],\n [-9, -6, 0, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[10, 4, 10, 0, -4, 3],\n [-5, -4, -3, -8, 7, -10],\n [9, -4, 9, 5, -6, 0],\n [-9, -6, -5, 4, 0, -1],\n [9, 0, -8, -1, 2, 1]]\nB =\n[[-10, 0, 4, -10, 7, 0],\n [10, -5, -10, -8, -5, 10],\n [-9, 6, 1, -2, 7, -5],\n [5, 3, 6, 9, -2, 7],\n [-10, -3, -5, -4, -3, 10],\n [-6, -8, -5, -9, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[1, -7, -5, -9, 1],\n [-7, -10, -6, 1, -7],\n [-9, 9, 9, 2, -4],\n [7, 9, 7, 9, -9],\n [8, 5, 0, -4, -8]]\nB =\n[[8, 1, -3, 9, 10, 2],\n [4, 2, 2, -3, 5, 8],\n [2, -4, 2, -7, 0, 9],\n [6, 2, 4, 7, -7, 5],\n [4, -1, 6, -5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[10, 10, -2, 4, 7, 8],\n [-2, 6, -10, -9, -2, -8],\n [9, 0, -10, 0, -4, 9],\n [-1, -6, 3, 8, 7, -2],\n [3, -4, 1, 4, 0, -5]]\nB =\n[[10, -4, 2, -1, -4],\n [-9, 0, -1, -3, 10],\n [2, -1, -7, 5, -5],\n [-2, -9, -1, -6, 10],\n [-2, 3, -9, -4, 9],\n [10, -5, -9, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -10, 3, 1, -1, -4],\n [-2, 8, 4, -2, -6, -6],\n [7, 9, -8, -3, 10, 0],\n [-6, 2, -2, -10, -3, -2],\n [-6, 10, -9, -5, -10, -1]]\nB =\n[[4, -10, -7, -6],\n [-2, -7, 7, -8],\n [7, -4, 6, -7],\n [2, 4, -6, -1],\n [-3, -6, -6, -6],\n [-4, -9, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1670", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 0, 2, -1],\n [0, 6, -10, 7],\n [5, 0, -2, 8],\n [8, 0, 4, 4],\n [-10, 2, 2, -9],\n [-10, 0, 5, -3]]\nB =\n[[1, -4, 9, 7, 8],\n [1, -9, 1, -2, -9],\n [6, -3, 6, 4, 9],\n [9, 5, 3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 9, 4, 10, 9, 2],\n [-5, -3, -4, -10, 6, -8],\n [-9, 5, 3, 7, -2, 4],\n [-4, -7, -3, -5, -7, -5],\n [4, 4, -4, -4, 5, 7]]\nB =\n[[-8, -4, -4, 0],\n [1, 1, 4, -7],\n [2, 5, 4, 9],\n [-8, -5, 9, -10],\n [10, -4, -7, 7],\n [-9, -7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1536", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -1, 9, 9, 2],\n [-10, 6, -10, -10, 0],\n [-5, 3, 5, 7, -10],\n [-10, 4, -10, 1, 5],\n [-8, -4, 6, 6, -9],\n [8, -1, 2, -6, 10]]\nB =\n[[6, 2, -6, 2, 7],\n [-4, -3, 9, -4, -7],\n [8, 9, -3, -7, -10],\n [2, 5, 10, 1, -2],\n [0, -6, 0, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-1, 6, 0, 3],\n [-6, 5, 7, -10],\n [9, -6, -4, 5],\n [6, 2, 4, 10],\n [5, -1, 5, -2]]\nB =\n[[-3, 9, -7, 4, -5, -7],\n [2, 8, -4, 8, 0, 4],\n [5, -4, 6, -5, 1, -1],\n [4, 8, -10, 5, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, 4, -7, 8],\n [-4, 5, 7, -10, 9],\n [-5, 9, -7, -2, -1],\n [8, 2, 9, 6, 3]]\nB =\n[[-2, 0, 6, -2],\n [4, -2, -2, 4],\n [-3, 8, 5, -5],\n [3, 2, -5, 5],\n [-8, -2, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, 8, 10, -7],\n [7, 4, 4, 10, -8],\n [-7, -2, -5, 3, -5],\n [6, 4, -6, -7, 7]]\nB =\n[[-2, 10, -4, -6, 7],\n [1, -8, 10, -3, -4],\n [-6, -8, -2, 3, 5],\n [-8, -8, 0, 7, 10],\n [-2, 8, -9, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1793", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 6, 7, -9, -4],\n [0, -10, 0, -7, 3],\n [1, 6, -2, -3, -6],\n [9, 1, 10, 8, 7],\n [-5, 0, -6, 1, 0]]\nB =\n[[-8, 2, 10, 8, -7, 10],\n [-10, 0, 3, 8, -10, -3],\n [-9, 5, 5, 1, 8, 6],\n [-10, -4, 7, -7, 8, 5],\n [6, 2, 9, -9, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2470", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -4, 0, -10, 2],\n [-1, -2, -9, -5, -1],\n [-1, -4, -6, 4, -6],\n [4, -8, -4, -1, -7]]\nB =\n[[0, -2, 8, -8],\n [-6, -7, 0, -6],\n [-5, -6, -6, -10],\n [-7, -2, -8, 0],\n [-7, -8, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1181", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 3, 5, -7, 1],\n [0, 9, -1, 9, -2, -5],\n [-7, 10, 4, 9, -7, 6],\n [10, 6, -10, 2, -10, 9],\n [-4, -2, 4, -8, 2, 0]]\nB =\n[[-9, -3, -7, -1],\n [6, 6, -7, 10],\n [-10, 8, 2, 3],\n [-2, 5, 8, 10],\n [6, 10, 9, 0],\n [6, -8, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[4, -3, 1, -2],\n [4, 7, 1, 8],\n [-10, 4, 10, -4],\n [-1, 2, -3, 10]]\nB =\n[[10, -7, 9, -6, 7, 7],\n [-4, -5, 6, 3, 8, -3],\n [4, -8, 4, 5, 3, -9],\n [-6, 5, 4, 4, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -10, -8, -8],\n [2, 9, 8, 3],\n [-2, -7, -2, -1],\n [2, -3, -2, -7]]\nB =\n[[-8, -6, 8, 1],\n [-8, -10, -9, -10],\n [9, -3, 4, -6],\n [-1, -3, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -4, -1, -7],\n [9, 5, -1, 7],\n [-5, -7, 8, 7],\n [-7, 6, -1, 10],\n [-7, 5, -2, 6]]\nB =\n[[-2, -6, -6, -10],\n [-9, 4, 1, 10],\n [4, 7, 7, 3],\n [-1, 8, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -4, -2, 0, 5, 4],\n [3, -7, -3, 0, 10, -3],\n [8, -3, -3, 3, 4, 3],\n [-10, -4, 1, 9, -2, 0]]\nB =\n[[2, -7, 3, -4, 2],\n [-3, 10, 3, 9, 2],\n [5, -7, 4, -2, -1],\n [0, 9, 1, -9, 1],\n [-7, 8, 8, -4, 1],\n [-8, 7, 6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-261", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[10, 9, -1, -3, -4],\n [0, 9, 7, 4, 8],\n [-1, -3, 10, -7, 8],\n [5, 0, 8, 1, 3]]\nB =\n[[-2, -9, 10, 0, 7, 7],\n [1, 3, -3, -5, -7, -1],\n [-8, 3, -5, 0, -10, -4],\n [-6, 4, -10, -5, 10, -7],\n [0, 3, 0, -10, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 5, -8],\n [0, -1, -6, -8],\n [9, 8, -8, -4],\n [7, -6, 3, -7],\n [1, 6, -2, 10]]\nB =\n[[8, 0, 6, 1, 5],\n [-7, -6, -1, 9, -2],\n [-6, -4, -1, 3, 3],\n [6, 0, 9, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, 10, 5],\n [4, -9, 3, -3],\n [-4, -7, 1, -5],\n [6, -7, -7, 7],\n [-9, 5, -10, 10],\n [-7, -6, 5, -4]]\nB =\n[[-2, 10, -6, -4, -4],\n [-4, 4, -5, 8, -3],\n [-7, 10, -9, 0, 7],\n [-9, 3, 4, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 0, 3, 10, -5, 4],\n [-4, 3, 10, -4, 0, 6],\n [0, 2, 10, -3, 6, -2],\n [0, 6, -2, -7, 4, -7],\n [2, -4, 10, 0, 6, -9]]\nB =\n[[2, -6, 0, -7, 9, 5],\n [7, 1, 0, -6, 7, -3],\n [3, -8, -2, 10, -3, 9],\n [-9, -9, -9, 1, 7, 9],\n [-4, 1, -8, -9, 0, 5],\n [2, -3, 3, 9, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[5, 3, -5, -9, -2, -1],\n [-6, 10, 3, -2, 9, 0],\n [0, 1, 9, -8, 4, -7],\n [-7, -9, 10, -7, -7, 8],\n [-2, 10, 0, 3, 4, 0],\n [-3, 0, 4, 3, 9, -1]]\nB =\n[[-9, -1, 2, -1, -3, -1],\n [-1, -3, 4, -5, -2, 1],\n [5, 3, 9, 6, 3, 7],\n [10, 2, -2, 6, -3, -6],\n [0, 9, -9, -10, -9, 6],\n [4, -2, -7, 10, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, -9, 4, -3],\n [3, 1, 1, 2, -4],\n [1, 5, -9, 0, 3],\n [5, 3, -10, -9, 4]]\nB =\n[[8, -5, -1, 8, -8],\n [2, 6, 5, -9, -10],\n [8, 2, 8, -6, 0],\n [7, 1, -9, -2, -2],\n [-8, -9, -1, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 5, 7, -4],\n [4, 2, -1, 5],\n [3, 6, -5, 0],\n [-1, -2, -7, -9],\n [10, -4, -9, 0]]\nB =\n[[3, 5, -9, 4, -4],\n [1, 1, 2, -10, 1],\n [-1, 1, -10, 8, 10],\n [-5, -6, 4, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -1, -3, -4],\n [-8, 7, 7, 9],\n [10, -8, -1, -9],\n [-2, -9, -1, 4]]\nB =\n[[-2, 8, 5, -7, 10, -2],\n [-8, 5, -7, 8, -3, 0],\n [9, 8, -2, -6, -8, 10],\n [5, 8, 9, 9, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -2, 3, -8, -7, -2],\n [-2, -6, -5, -4, -6, -5],\n [-6, -7, -2, 8, -9, 4],\n [7, -4, 0, -3, 6, 2],\n [9, 9, -8, -8, 10, 1],\n [-3, 7, -7, 5, -3, -4]]\nB =\n[[0, 8, -10, 9],\n [6, 8, 2, 1],\n [9, -5, 5, 3],\n [-8, -1, -3, -2],\n [-5, -5, -2, -8],\n [-2, -8, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -2, -5, 3, 4],\n [-6, 5, -6, 7, -1],\n [-8, -3, 2, -5, -1],\n [4, -8, 1, 10, -4],\n [5, 0, -6, -1, -2]]\nB =\n[[4, -4, -7, 8, 4],\n [-6, -5, 3, 9, 1],\n [6, -7, -2, -9, -5],\n [-6, 4, 5, -1, 2],\n [9, -2, 9, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[9, -3, -9, 2],\n [9, -4, 4, -9],\n [-8, -6, 1, -1],\n [-5, 5, -4, 4],\n [10, -9, 10, 7]]\nB =\n[[-8, 3, 2, -3],\n [7, 4, 2, 0],\n [8, -1, 7, 5],\n [-1, -5, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, 5, -3, 1, 0],\n [4, 0, -4, 8, 2, -8],\n [-5, 8, -3, -8, 0, 8],\n [-5, -6, -3, -9, 7, -9],\n [-6, 7, 2, -2, -5, 0],\n [-5, 6, 10, -4, 5, 1]]\nB =\n[[1, -1, -6, -9],\n [-5, 5, 4, -9],\n [-2, 2, -9, -8],\n [4, 9, -2, 5],\n [-7, -1, 1, -2],\n [-1, 7, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1249", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 5, -6, -4, -2, 6],\n [-1, 4, 9, 4, -2, -9],\n [-5, -10, -2, -7, 10, -2],\n [4, 5, -3, -9, -2, -1],\n [-7, -3, -4, -10, 1, -6],\n [9, -6, -10, -9, -2, -6]]\nB =\n[[-5, 8, 3, 9, 0, -6],\n [7, -1, -7, 1, 6, 0],\n [-5, 9, -8, -9, 10, 10],\n [10, -10, 10, -8, -8, 4],\n [3, -9, -3, -8, -8, -3],\n [-6, -5, 0, 9, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2915", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, -10, -2, 3, -2],\n [-4, 2, 3, -6, -4, 1],\n [0, 9, -8, 3, 8, -2],\n [10, 6, -10, -10, 6, -3]]\nB =\n[[0, 9, 7, -8],\n [-6, -7, 10, 2],\n [-1, -4, -1, 1],\n [-1, 3, -1, 7],\n [9, 9, -8, 4],\n [6, -7, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -7, -2, -2],\n [5, 9, 9, 3],\n [1, 0, 8, 1],\n [-2, 1, 1, 0],\n [-3, -2, -3, -9]]\nB =\n[[-10, -8, 5, -3],\n [-3, 3, -7, 4],\n [7, 0, 1, 5],\n [9, 2, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -2, 6, 1, 1, -9],\n [-4, -3, 3, 4, -4, -2],\n [-5, 5, 0, -6, -7, -7],\n [2, 7, 0, 7, 5, -3]]\nB =\n[[1, -2, 3, 9],\n [-10, 8, -7, 8],\n [6, -10, 5, 10],\n [10, 9, -5, -4],\n [-1, 10, 8, 6],\n [-4, 9, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -1, 5, 0],\n [-9, 2, 10, -5],\n [3, 8, -5, 2],\n [4, -4, -3, 2],\n [0, 10, 6, -9],\n [-10, 6, 0, -7]]\nB =\n[[9, -6, -9, -6, -7],\n [-7, -7, 0, -6, -5],\n [-2, 7, -10, 3, -8],\n [-3, 6, -4, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-410", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -6, 4, 9, 2],\n [1, 8, 0, 2, 1],\n [-10, 2, -3, -1, -7],\n [1, 7, -7, 3, 0],\n [-4, -9, 8, -5, 1]]\nB =\n[[-8, 3, 9, -2],\n [8, 3, 4, -6],\n [3, 0, 9, -9],\n [-7, -8, -4, -9],\n [0, -1, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[8, -10, -3, 10, -4],\n [8, 6, -7, 10, 10],\n [9, -5, -4, 1, 9],\n [-2, 2, 0, 3, -5],\n [-5, -4, -2, -5, 4]]\nB =\n[[8, 7, 3, -7],\n [-1, 1, 2, 6],\n [2, 2, 0, 7],\n [-9, -5, 2, 9],\n [-5, -4, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -5, 0, 3, 0, 9],\n [-7, -6, 7, -5, 1, 4],\n [-10, -8, -3, 9, -4, -2],\n [-7, 5, -8, 10, 7, 7]]\nB =\n[[10, -3, 1, -8, -1],\n [-7, -5, -4, 3, -5],\n [0, -2, -7, 4, -10],\n [0, -2, 10, -9, 9],\n [9, -1, 8, 3, -3],\n [7, -2, 1, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, -6, 10],\n [-1, 7, -4, -1],\n [-4, -5, -7, 0],\n [-10, 0, -9, 7],\n [3, -10, 3, 3]]\nB =\n[[3, -10, 9, -2, 10, 6],\n [2, 2, 10, 4, 9, 4],\n [9, -5, -4, -10, -7, 5],\n [-9, 2, -9, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2099", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, -3, -7, 5],\n [8, -5, -9, 7, 9],\n [9, 5, -6, -2, -2],\n [-10, 10, 7, 6, -7],\n [2, -7, 1, 9, 1],\n [2, 5, 4, 7, 2]]\nB =\n[[10, -10, -6, -6, -7],\n [2, 10, 10, 10, -1],\n [-5, 7, -8, -2, 6],\n [9, -9, 3, -1, -2],\n [6, -6, 6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -3, -1, -2],\n [9, -1, -4, 3],\n [0, 7, 8, -7],\n [7, 3, -7, -3],\n [-3, 10, -4, -9],\n [3, 9, 10, -6]]\nB =\n[[-3, 10, -10, 2, -7],\n [-9, 9, -10, -6, -5],\n [8, 3, -3, -10, 0],\n [10, -4, -9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2551", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 4, 5, 10, 4],\n [-7, 3, 1, 3, -2],\n [-10, -8, 2, -10, 0],\n [5, -9, 10, 2, 8]]\nB =\n[[0, 1, 8, 0],\n [5, 4, 9, -4],\n [4, 4, 1, 9],\n [-9, 4, -3, 3],\n [-9, -3, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-1, 2, -5, 0, -8],\n [-7, -10, 0, -9, -1],\n [-5, -10, 2, -5, -9],\n [-10, -5, -1, -10, -7]]\nB =\n[[6, 7, -4, -1, 0],\n [-3, 0, -5, 1, -7],\n [4, -7, 4, 4, -8],\n [0, -6, -3, 6, 5],\n [-6, -10, 5, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 4, 0, -4, -6, -7],\n [3, -6, -10, 0, 2, -1],\n [-7, 1, -7, -6, -4, 7],\n [9, 3, -5, -10, 4, 8]]\nB =\n[[9, 10, 5, -8],\n [-6, 4, -4, -9],\n [-10, -8, 1, 3],\n [10, 5, -5, 9],\n [-1, -3, -9, 4],\n [-4, -3, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[1, 10, -5, -2, -6],\n [9, 5, -4, -5, -2],\n [-1, -9, -9, -7, -5],\n [9, 3, 7, 4, -3],\n [2, 9, -9, -7, -1]]\nB =\n[[8, 4, -5, 5, 6],\n [-9, -9, 10, -6, -7],\n [-3, 5, 9, 8, 1],\n [0, 2, -6, -7, 1],\n [-6, 2, -6, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 9, 8, -8, -2, -1],\n [-8, 1, -5, 4, 9, 3],\n [-7, -2, 8, 0, -2, -4],\n [-10, 10, -2, -6, -3, 10],\n [6, -1, 6, 3, -9, 2],\n [2, -8, 9, -8, -3, 10]]\nB =\n[[10, 0, 5, -4],\n [-8, -7, 4, -5],\n [-8, 8, -3, 4],\n [10, 8, -9, 6],\n [-1, -1, -1, 0],\n [-2, 9, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-467", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 3, -2, -7, 1],\n [-9, 5, -4, -2, 2],\n [-4, 9, 9, -7, -5],\n [0, 8, -1, 6, 7]]\nB =\n[[-8, 7, 10, -4],\n [3, 5, 1, -2],\n [1, 4, -1, -5],\n [-7, 1, 0, 9],\n [4, 7, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, 4, -7, -1, 1],\n [-6, 5, 7, -7, 10, -9],\n [8, 0, 6, 1, -2, 1],\n [5, -10, 4, -1, 1, 0],\n [10, -7, -3, 0, 8, -10]]\nB =\n[[0, 3, 0, 0, -1],\n [6, -9, 10, -1, -10],\n [7, 5, -7, 2, -8],\n [-9, -4, 4, 0, -2],\n [-10, 2, 3, 8, 3],\n [-9, 5, -6, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -9, -1, 9, 0, 5],\n [8, -4, 4, 2, 2, -8],\n [-2, -10, 2, 2, 3, -2],\n [-9, -5, -10, 1, -1, -1]]\nB =\n[[10, -1, -7, -5, -5],\n [-1, 3, -10, -5, -7],\n [-10, -7, 9, 5, -8],\n [0, -10, -2, -3, -8],\n [3, -9, -3, 10, -3],\n [6, 10, 1, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[2, -3, -3, -1, -10],\n [-7, 8, 7, -1, -9],\n [10, 0, 4, -10, -7],\n [8, 2, 8, -9, -9]]\nB =\n[[-10, -4, -8, 8, -3],\n [-1, -6, -1, 9, -6],\n [-5, -3, 0, -1, -7],\n [6, -2, 6, 4, -4],\n [-4, -10, 2, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 5, -6, 1],\n [-8, 4, 5, -9],\n [-1, -7, 0, -3],\n [-3, -7, 10, 7],\n [4, -7, 6, 3]]\nB =\n[[8, -4, 0, -4, -9],\n [6, -10, 5, 3, -4],\n [-6, 9, -5, 10, -6],\n [4, 10, -9, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 8, 6, -9],\n [3, -10, -10, 2, -5],\n [3, -6, -6, 7, 0],\n [10, 10, -4, 4, -9]]\nB =\n[[10, 2, 2, 8, -4, 3],\n [10, -8, -4, -7, -10, -6],\n [-8, -8, -9, -8, 0, 0],\n [-3, -8, -1, 2, 9, 5],\n [-6, -5, 3, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 10, 1, -10, -3, -8],\n [2, 2, 2, -6, -5, -2],\n [6, -4, 10, 9, 4, -9],\n [7, 0, -3, -1, -5, -7],\n [1, 6, 0, 9, 0, 7]]\nB =\n[[9, 8, -4, 6],\n [4, 1, -4, 7],\n [2, -9, -10, 9],\n [3, -6, 5, -4],\n [3, -6, 3, 3],\n [6, -4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, -4, -5, 9, -2],\n [-8, 3, -1, 3, 10, -5],\n [-3, -5, 7, 8, -5, -5],\n [4, -4, 4, 0, 3, 10],\n [3, -3, 0, 3, 1, -9]]\nB =\n[[-6, -2, 9, -3, -9, 3],\n [-9, 3, 0, 10, 2, -8],\n [0, -6, -3, -9, 2, -9],\n [-5, 0, 5, -8, -2, 1],\n [-5, -5, 1, -8, 3, 0],\n [4, 10, -1, -1, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-701", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-2, 8, -6, -9, -8],\n [-9, -7, -8, 7, -7],\n [9, 6, 1, 4, -9],\n [4, -8, -6, -6, -6]]\nB =\n[[-1, 8, -3, 2, -1, 5],\n [-5, 9, 0, -5, -2, 7],\n [1, -2, 0, 0, 9, -5],\n [-6, -2, -7, 1, -8, -10],\n [-6, 2, 6, 9, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -4, -4, 8, -5],\n [-10, -1, -10, -1, -4],\n [-9, -7, -6, -4, -4],\n [5, -7, 1, 4, -3],\n [8, 5, 10, 8, -3]]\nB =\n[[6, 10, 5, 4],\n [-6, 4, -3, -10],\n [-8, 5, 10, 7],\n [9, -3, -2, -7],\n [2, -10, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1454", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 4, 9, 9],\n [-6, -4, -5, 4],\n [-2, -3, -8, -10],\n [7, -7, -6, -3],\n [7, 7, -1, -7],\n [-6, 1, -2, -6]]\nB =\n[[9, -3, 2, -10, 2, 2],\n [-3, -8, 9, 6, 9, 5],\n [-8, 10, 0, -3, 3, -8],\n [9, -6, 2, 4, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -1, 8, 2, 10, -6],\n [-1, -4, -9, -7, -2, 3],\n [4, -8, 6, -1, 7, 9],\n [7, 9, -3, 7, -1, 10]]\nB =\n[[-1, 8, -2, -8, -1],\n [7, 10, -7, 9, 3],\n [-3, 7, 6, 7, -1],\n [-3, 5, -4, 4, -4],\n [-5, 7, -7, -5, 3],\n [-4, 8, 5, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -8, 8, -3],\n [9, 0, 4, -2],\n [-10, -7, 10, -9],\n [-6, -5, -2, 6],\n [-4, -3, -5, 10],\n [-2, 8, 10, 6]]\nB =\n[[4, 3, -10, 9, -3],\n [8, -4, -6, -8, -5],\n [-4, -4, -3, 0, -10],\n [-6, -5, 9, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-386", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 3, -6, -3],\n [1, 10, -2, -5],\n [-2, 4, 7, 8],\n [6, -8, -6, 9]]\nB =\n[[8, 0, 3, 7],\n [8, 6, 0, 8],\n [5, -8, -8, -9],\n [4, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-5, 7, -1, 7],\n [6, 6, -7, -8],\n [8, -4, 10, -3],\n [2, -7, 10, -4]]\nB =\n[[-7, 0, -5, 4],\n [1, -1, -9, -8],\n [-5, 9, 1, -6],\n [7, 4, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -6, 10, -10, -9, -8],\n [-6, -3, -1, -7, -5, 6],\n [-5, -7, -7, -2, 7, 7],\n [5, -5, -6, -8, 2, 1],\n [9, 5, -4, -9, -5, -9],\n [3, 2, -3, -9, 3, 0]]\nB =\n[[5, 0, 3, 3, 8, 5],\n [3, 2, 6, -6, 2, 5],\n [2, -7, 10, 4, -6, 2],\n [-6, 5, 5, -5, 1, -6],\n [-1, 3, -6, -4, -6, 3],\n [-4, -10, 2, 2, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 3, 9, 7, -1],\n [-8, -2, 9, -6, -4],\n [-4, -5, -2, 9, 3],\n [-1, -2, 0, 2, -4],\n [10, 6, 9, -9, -3]]\nB =\n[[2, -10, -7, 9, -1],\n [-4, -5, 5, 6, -3],\n [6, 5, 5, -3, 9],\n [-7, -2, 1, 2, 0],\n [6, -5, 4, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, -8, -3, 3, 2],\n [2, -4, 7, 6, 3, 4],\n [7, 1, -2, -1, -9, 5],\n [-3, 5, 10, 3, 6, -7],\n [8, 1, -6, -2, -1, 4],\n [7, 4, -4, -7, 8, -4]]\nB =\n[[-7, 3, -6, -3],\n [-3, -1, -3, -2],\n [2, -6, 10, -4],\n [5, -3, -3, -1],\n [9, 6, -3, -6],\n [-5, 10, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 1, 7, -10, -3, -1],\n [-10, 6, -6, -3, 5, 2],\n [-5, 4, -5, -2, 8, 10],\n [6, -9, -9, -1, 5, -3]]\nB =\n[[-5, -7, -1, -3],\n [-9, -7, -3, 6],\n [-4, -10, -3, -3],\n [-1, -1, -2, -5],\n [-6, -9, -6, -5],\n [5, -8, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, 6, 7, -1, 3],\n [10, -5, -1, -4, -10, 7],\n [6, 4, -6, 10, 8, -4],\n [-7, 8, -2, 2, 2, 6]]\nB =\n[[8, -9, 9, 8],\n [1, 7, 6, -3],\n [-8, 9, 3, 1],\n [-3, -4, 8, -7],\n [-9, -3, -4, -1],\n [0, -10, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1270", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 8, 9, 9, -3, 2],\n [3, 3, -7, 0, -10, -6],\n [-8, 3, -10, 4, 4, -8],\n [0, -10, -6, -9, 6, -10],\n [4, -9, 6, 2, 8, 6],\n [4, 10, 10, 6, -4, 3]]\nB =\n[[7, 0, 2, 0],\n [-8, -8, 3, -3],\n [3, -4, 6, 7],\n [-2, -8, -1, 8],\n [-8, -4, -10, 7],\n [2, 2, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, -3, 8, -10, 1],\n [0, 3, 2, 4, 2],\n [2, 0, 10, 10, 10],\n [-1, -3, 6, -4, 2],\n [-8, -5, -10, 2, -9]]\nB =\n[[-1, 9, -3, 1],\n [-7, 4, -2, -8],\n [-7, 2, -9, -3],\n [10, -4, -1, 9],\n [10, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 5, 1, -8],\n [5, -9, 1, -6],\n [2, 3, 6, 7],\n [-5, 5, 7, -2],\n [8, 0, -7, 7],\n [-5, -2, 6, -2]]\nB =\n[[8, 8, 10, -10, -1, -3],\n [0, -10, 4, -9, 6, -6],\n [-1, 6, -5, 10, -4, -4],\n [-7, 6, -7, -9, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 4, -6, 0],\n [7, -8, 3, -3, -10],\n [-4, 9, -10, 7, -3],\n [-5, -4, 7, -3, 1]]\nB =\n[[-6, 10, -5, -9],\n [10, -5, -2, -5],\n [-5, -4, -1, -6],\n [-6, 8, 8, 9],\n [4, -9, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, 4, -6, 10, -4],\n [-10, 0, 8, 0, 2, 6],\n [2, -2, 10, 8, -7, 6],\n [4, 6, -9, -6, 2, 1]]\nB =\n[[-10, 2, -4, 2],\n [0, -1, 0, -6],\n [4, -1, -8, 2],\n [10, 2, 4, 1],\n [-4, 7, -8, 7],\n [-4, 2, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-10, 7, -1, -1],\n [-9, -10, -8, 1],\n [-8, 0, 7, -6],\n [-8, 8, 8, -4]]\nB =\n[[-2, -4, 4, 8, 9],\n [-3, 2, -8, 9, 7],\n [10, -6, -3, 6, -4],\n [-3, -9, -5, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -4, 0, 0, -9, -9],\n [-1, 1, 1, 8, -10, -10],\n [10, 8, -2, 4, 5, 8],\n [4, 2, -4, 5, 6, 9],\n [5, -10, -4, -6, 0, -6]]\nB =\n[[-1, 0, -10, 7],\n [6, 3, -4, 5],\n [0, 7, 7, -10],\n [4, -10, -10, -5],\n [1, 4, 10, -5],\n [-1, 3, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 7, -6, 0],\n [-4, -5, 6, 5],\n [3, 1, 5, -1],\n [2, -10, 0, -10]]\nB =\n[[9, 10, -3, 3, -1],\n [-2, 7, 10, -4, -2],\n [-6, -10, 1, -10, -10],\n [-8, -10, -8, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, -8, 7, 7],\n [-4, -10, -10, 1, -7],\n [4, 5, 9, -3, -7],\n [-8, -2, -1, -8, 6]]\nB =\n[[5, 5, -9, 7, -7, 4],\n [-7, 7, 2, 5, 10, 9],\n [4, -2, 6, 4, -7, -1],\n [8, -4, 1, -5, -9, 7],\n [7, -6, -10, -3, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[2, 1, 8, 6, -8],\n [7, 2, 8, -3, -2],\n [-5, 7, 10, -10, 6],\n [5, 0, -9, -8, -9],\n [-8, -4, 6, 2, 4],\n [1, -10, 7, 2, -6]]\nB =\n[[4, -5, 7, 1],\n [-2, -10, 0, -9],\n [-6, 3, 3, 8],\n [-5, 3, 5, 4],\n [3, -6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -10, 5],\n [7, 6, 7, 1],\n [-2, 10, 5, -9],\n [4, -3, -1, 9]]\nB =\n[[9, -3, -9, 1],\n [1, 6, -3, -5],\n [9, -4, -6, 8],\n [6, -5, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -3, -1, 0, -5, 3],\n [0, 5, 6, 2, 7, 9],\n [3, -3, -2, -9, -10, -7],\n [3, -7, -4, 9, -4, -2],\n [-8, -6, -7, -9, 0, -5],\n [9, 3, -7, 7, -6, 5]]\nB =\n[[5, 7, 2, -4, 8, 5],\n [10, 4, -10, -8, -1, -6],\n [-1, -3, 3, -1, -9, -7],\n [-5, 9, -5, -1, -3, -3],\n [9, -10, -1, 9, 5, 1],\n [-5, 9, 3, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[0, -1, -8, 0],\n [2, 8, -5, 1],\n [9, -6, 10, -7],\n [-8, -5, -2, 9]]\nB =\n[[6, 1, 1, -10, 1, 9],\n [-9, -1, 8, -5, 5, 9],\n [7, -7, 8, 1, -10, -1],\n [2, 9, -10, -6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -1, -9, -8],\n [-5, -3, 7, -9],\n [-2, 5, 8, 8],\n [0, -2, 7, 3]]\nB =\n[[-2, -1, -1, -8],\n [0, 7, -4, 1],\n [7, -5, -9, 7],\n [6, 7, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, -4, 0],\n [-7, -8, -8, 2],\n [1, -7, -3, -1],\n [-5, -8, -8, 6],\n [-6, -2, -5, 6]]\nB =\n[[-6, -2, 7, 6, -7, -6],\n [1, 4, 6, 6, 10, 10],\n [-4, -9, -8, 7, -8, 3],\n [10, -1, -5, 8, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 3, -4, 4, 6],\n [-6, -2, -9, -2, 4, 7],\n [-6, -8, 10, 4, 8, 1],\n [0, 3, 6, -1, 4, 9]]\nB =\n[[2, -1, -6, -1, 0, 1],\n [-9, 5, -10, 0, 6, 8],\n [4, -3, 6, 2, 1, 6],\n [1, -6, -10, -7, 7, -1],\n [10, -5, 0, 7, 8, 7],\n [-6, -4, -5, 8, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "624", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-8, 7, 4, 6, 10],\n [3, 2, -6, -3, -7],\n [2, 3, 8, -7, 5],\n [-9, 2, -9, -3, 0],\n [-5, 3, 4, -4, -3],\n [2, -2, 5, -6, 10]]\nB =\n[[-4, 10, -8, -3, -1],\n [0, 4, 6, -5, -2],\n [-2, -9, -3, -2, 2],\n [5, 4, 8, 4, 0],\n [5, 1, -9, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-9, -4, 5, -9, -5],\n [10, 3, -6, 10, 4],\n [10, 9, 2, -7, -4],\n [-8, 1, 10, -5, 3]]\nB =\n[[-1, 8, 6, 5, 5],\n [7, -4, -8, -9, 0],\n [-8, 9, -7, -9, 8],\n [4, -5, 9, -6, 0],\n [-3, 8, 6, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 2, -9, 5],\n [5, 5, -2, -9],\n [7, -10, -3, 10],\n [-8, -1, -6, 7],\n [-5, 10, 2, -1]]\nB =\n[[-9, -7, 6, 0],\n [-6, 2, 5, 0],\n [5, 2, 1, -5],\n [-1, -9, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -5, -5, -6],\n [3, -1, 0, -3],\n [6, 10, -10, -9],\n [-2, -6, -5, -2],\n [9, -1, -4, -9]]\nB =\n[[-1, 9, -7, -2, -7],\n [2, -9, 0, 5, 10],\n [-1, -5, -9, -7, 1],\n [-10, 0, 4, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 4, -10],\n [-9, 5, 8, 9],\n [-6, 5, 0, -4],\n [2, -5, -2, 8]]\nB =\n[[9, 1, 0, 10, -10],\n [8, 0, -2, -9, 5],\n [1, 5, 8, 6, 2],\n [-1, 3, 6, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1003", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[0, 4, -8, -8],\n [0, -5, 0, -2],\n [7, -10, 3, -10],\n [-8, -4, -7, 8]]\nB =\n[[-3, -10, 9, -4, -10, -3],\n [-10, 10, -7, -5, -1, -9],\n [-8, 5, -5, -1, -8, 7],\n [10, 5, 6, 3, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 1, -3, 2],\n [-6, 3, 10, -8],\n [7, -9, -2, 4],\n [-2, 3, -3, -6],\n [9, 8, -5, -8]]\nB =\n[[6, -4, -7, 4, -5, -7],\n [-3, 9, -5, 1, -10, 8],\n [0, 1, 10, 10, 1, -5],\n [8, -6, 5, -4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 2, 4, 5, -5],\n [-7, 8, 6, 5, -6, -7],\n [-3, 4, -4, -2, 0, 7],\n [-3, -7, -10, 3, -1, 0],\n [-9, -2, -6, -8, -6, 1]]\nB =\n[[1, 0, 10, -2, -2],\n [2, 8, 7, 2, 3],\n [0, 10, 1, -8, -2],\n [9, -10, -8, -10, 8],\n [10, -6, -7, 9, 8],\n [-6, -4, -1, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1416", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -8, 0, -2, -9, -5],\n [8, 2, -3, 2, -10, -10],\n [-8, -4, 0, 6, 6, 0],\n [0, -4, 4, 10, -10, -10],\n [-10, -5, 9, 2, 9, 9],\n [-2, -6, -5, 8, 8, -5]]\nB =\n[[7, 3, -3, 6],\n [3, -6, 6, 10],\n [6, -5, 5, -8],\n [6, -6, 10, 5],\n [7, -8, 5, 4],\n [8, 0, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -8, -2, -9, 9, 8],\n [-3, 10, -6, -3, -5, 9],\n [8, 4, 7, -1, -7, 9],\n [4, 6, 8, 2, -4, 3]]\nB =\n[[1, 8, 8, -9, 3],\n [-7, -2, -4, -1, -1],\n [-5, 2, -7, -5, 8],\n [-2, 6, -10, 0, 6],\n [-5, -4, 3, 10, 5],\n [0, -4, -4, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-591", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[1, 8, -7, -1, -4, 9],\n [6, 0, 10, 2, 8, 0],\n [1, 2, -3, 9, -6, -3],\n [7, -4, -7, -8, 5, -1]]\nB =\n[[4, 0, 7, 3, 9],\n [-8, 0, -8, 10, 10],\n [3, -3, -3, -5, 2],\n [-2, 2, 4, -7, -5],\n [6, -9, -2, 10, 7],\n [3, 2, -4, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, 7, 1, 4],\n [10, 0, -8, -2],\n [-8, -9, -6, 3],\n [10, -8, -10, 2],\n [6, -5, 5, 2],\n [-7, 10, 7, 1]]\nB =\n[[-5, 1, 4, 8],\n [-7, 1, -4, 6],\n [-9, 6, 2, -7],\n [0, -5, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -1, -3, -2],\n [-1, -9, 10, 8],\n [7, 0, 7, 7],\n [-6, 0, 9, 1],\n [-2, -1, -1, -2]]\nB =\n[[0, -8, 1, -3],\n [-2, -3, -3, 1],\n [1, -5, 1, -1],\n [2, -6, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "591", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 9, 10, 9, -10],\n [2, -10, 7, 3, -3],\n [8, 5, 5, 7, -4],\n [7, 3, 3, -1, -6]]\nB =\n[[-4, -5, 6, -6, 0],\n [-2, 1, 8, -2, 2],\n [6, 9, 1, 8, 6],\n [1, 10, -2, 1, -7],\n [7, 6, -9, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, 1, 9, -4, 0],\n [-7, 1, 2, -8, 10, 2],\n [8, -3, -1, -8, -10, -7],\n [-9, 1, -5, -7, -2, 9],\n [-2, 8, 6, -6, -1, -6],\n [6, -5, 5, 4, 1, 0]]\nB =\n[[-8, -1, 0, -9, 6],\n [-2, 6, -4, 9, 3],\n [-2, -2, -6, -7, 5],\n [4, -10, -5, -5, -8],\n [-9, -4, -6, 8, -4],\n [0, 1, 5, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2368", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[-3, -10, -3, 9, -4, 9],\n [5, -9, -6, -6, -3, -9],\n [-6, -7, -8, 0, -1, 6],\n [-7, -5, -10, -8, 7, 3],\n [0, 5, 5, -2, -8, 6],\n [-1, -4, -5, 0, 5, -7]]\nB =\n[[8, 9, -7, 5],\n [-5, 3, -4, 0],\n [-7, 7, -8, -5],\n [9, -7, 9, -4],\n [-10, 7, 2, 9],\n [8, 7, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 7, 8, 7, 1],\n [-4, 5, -3, 9, -1],\n [2, 0, -2, -6, 5],\n [7, 2, -3, -8, 6]]\nB =\n[[4, -9, 0, -4, 4],\n [1, -10, 6, 9, 7],\n [2, -7, -1, 4, -1],\n [6, 8, -3, -9, 6],\n [8, 6, 2, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "837", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -2, 4, 9, -5, -9],\n [-4, 1, 10, 9, 1, 9],\n [5, 3, -10, -7, -6, 2],\n [0, 3, 2, 8, 4, -9],\n [-3, -1, 4, 4, 8, -6]]\nB =\n[[-5, 4, -3, 4],\n [8, -8, 1, -9],\n [4, 7, 7, -2],\n [6, -6, -8, -8],\n [-3, 5, -7, -7],\n [6, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, -9, -3, -2, -4],\n [8, 1, 1, -7, -5],\n [-5, -8, 0, 3, -8],\n [8, 5, 7, 7, 1],\n [8, -2, -7, -4, 7],\n [-8, 1, -8, 2, 10]]\nB =\n[[-2, -6, 2, 8, -5],\n [-10, 1, -2, -3, 8],\n [-8, 9, -8, 0, -4],\n [2, 0, -7, -10, 7],\n [-6, 4, -5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[9, -3, 6, -5, 2, -5],\n [-8, 5, -7, -9, -6, 8],\n [-7, 2, 3, 3, 6, 5],\n [-7, 8, 1, -4, 4, 5]]\nB =\n[[7, -5, -6, -3, 3, -5],\n [1, 5, -7, -1, -1, 6],\n [-7, -5, -1, -4, -7, -3],\n [1, -1, -6, -8, -8, 2],\n [-5, -9, -8, -4, 8, -10],\n [3, 7, 9, 0, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, 9, 9, -10, -4],\n [9, 3, -1, 10, 3, 0],\n [7, -3, -5, -5, -6, -7],\n [-9, -3, 0, 4, 5, 0],\n [-10, -4, -3, -2, 2, -4]]\nB =\n[[10, 4, -7, -1, 6],\n [3, 3, 4, -5, 4],\n [0, 7, -10, 5, 2],\n [3, 9, -8, -6, -2],\n [0, -6, -1, 9, 4],\n [1, -4, 5, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -5, -10, 10, -10],\n [10, 7, 4, -7, -6],\n [-10, -1, 10, 10, -9],\n [-4, -6, 5, -6, 8]]\nB =\n[[-8, -6, 10, -4, -4, -7],\n [7, 9, 3, -10, 9, 1],\n [-8, 10, -2, -3, 2, -1],\n [-7, 3, 1, 10, 4, -7],\n [7, 6, -2, 3, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2079", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 2, -10, -7, 10],\n [-3, 10, -7, -9, 3],\n [8, -8, -5, 9, 3],\n [-7, 4, 6, 3, -2],\n [2, 3, -1, 8, -7],\n [-3, 7, -9, 2, -6]]\nB =\n[[6, 4, 2, -1],\n [7, 3, -1, 0],\n [-1, 8, 8, 3],\n [-9, -7, 6, 3],\n [-10, 10, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1560", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -7, 0, -2, 6],\n [8, -2, 10, -8, -5],\n [7, 6, -10, -4, 10],\n [-10, -5, 6, 2, -3],\n [0, 5, 8, 4, 2],\n [6, -8, -5, -9, -7]]\nB =\n[[2, -2, 2, -6, 9, 10],\n [10, 6, -4, -6, -8, 5],\n [4, 10, 10, -9, 3, -2],\n [4, -5, 2, -10, 1, -9],\n [1, -7, -2, 1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2789", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 3, 5, -6],\n [7, 7, -9, -9],\n [3, -4, -9, 10],\n [4, 4, 8, 7],\n [-2, 0, -3, -2],\n [-8, 0, -3, 3]]\nB =\n[[-7, 0, -10, -4, -4],\n [8, -9, 8, -9, -8],\n [-9, -6, -1, 7, -4],\n [-4, 9, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-5, 7, -6, -3],\n [9, -8, -2, 9],\n [-5, 2, -2, 3],\n [-3, -2, -10, -3]]\nB =\n[[-2, 3, 0, 1, -9],\n [-7, 5, 9, 6, -1],\n [2, 4, -1, 4, 8],\n [-3, -1, -1, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -9, 6, -5, 9, 6],\n [-3, 10, -8, -3, -6, -9],\n [-7, 7, -7, 3, -9, -10],\n [5, -6, 0, 3, 10, -8]]\nB =\n[[-3, -3, -6, -4],\n [-3, -3, -7, 10],\n [-7, 2, 6, 5],\n [-5, 1, 5, 0],\n [1, 9, 1, 3],\n [4, 8, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -5, -10, -8, -9],\n [-9, -9, -1, 3, 10],\n [1, 6, -7, 3, -5],\n [-9, 10, -1, 2, -2],\n [-2, 10, 4, 6, 4]]\nB =\n[[5, -3, -5, 0],\n [9, -7, -6, 0],\n [9, 7, -2, 1],\n [5, -5, -7, -3],\n [9, 0, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1330", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, -10, 10, -3, 10],\n [0, 2, 9, -8, 6],\n [-2, -7, -1, -1, 8],\n [-6, -2, 9, 0, 2]]\nB =\n[[-2, 8, 0, 6],\n [3, -3, -10, 3],\n [-3, -6, 8, 3],\n [-3, 10, 5, 2],\n [-5, -6, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, 3, -10, 5, 5],\n [-1, -7, 4, -8, -1, -6],\n [-5, 0, -5, -2, 9, 1],\n [-6, 1, -1, 3, 2, -6],\n [-10, 7, 0, -4, 1, -8],\n [-2, -1, 9, -4, -5, -4]]\nB =\n[[9, 5, -7, 4],\n [-1, 2, 5, 4],\n [-8, 10, 7, -7],\n [-2, -4, -1, 1],\n [1, -9, -9, -4],\n [-1, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -2, 4, 1, 5, -10],\n [-9, 1, 8, -1, 4, 5],\n [1, 4, -7, 9, -10, 3],\n [-3, -7, -6, 0, -10, 10],\n [3, -9, 4, -4, 2, -10]]\nB =\n[[-6, 8, -2, -7],\n [-4, -7, -7, 9],\n [6, -2, 6, 2],\n [6, -9, -1, 2],\n [-9, 6, -2, 5],\n [3, 7, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 2, 6, -4, -1],\n [4, -5, 8, 5, -9],\n [-10, -7, 8, 8, -3],\n [1, -4, 9, 5, 6],\n [-3, 3, -7, 0, 3]]\nB =\n[[-7, -1, 5, 6],\n [-5, 0, 9, 10],\n [5, -3, -1, 3],\n [4, 6, -9, -7],\n [4, 3, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1186", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 8, -6, -10, 0],\n [8, 4, -7, 2, -5],\n [-7, -8, -3, 2, 9],\n [4, 6, -9, 8, -8]]\nB =\n[[-5, -9, -5, -5, -8],\n [-8, 9, -2, -8, 0],\n [7, 1, -7, -6, 3],\n [7, -4, -3, -9, -7],\n [-6, 8, 5, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -7, -1, 4],\n [-2, -8, -10, -1],\n [6, -4, 9, -3],\n [7, -2, -6, -4]]\nB =\n[[0, -3, 1, 7, -3],\n [7, 6, -2, -1, -4],\n [-4, 2, -1, -9, 3],\n [5, 6, 3, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 5, 9, 3, -7],\n [-4, -9, -2, -7, 10],\n [5, 7, 1, -9, -6],\n [-7, 6, -6, 10, 2]]\nB =\n[[0, 9, 10, -9, 1],\n [-6, -6, 1, 5, -2],\n [3, -8, -3, 7, -6],\n [-3, -3, 3, -8, -9],\n [6, -8, -10, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[4, -4, 10, -6, -7],\n [-2, 10, -10, -5, 1],\n [4, 8, -6, -9, 5],\n [-5, 7, 10, 0, -2],\n [3, -5, -1, 9, 6],\n [1, 0, 7, -10, 1]]\nB =\n[[6, -8, -6, -2],\n [9, 9, 8, 8],\n [-2, -2, -4, 2],\n [-9, 3, 9, 5],\n [-3, 10, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 7, 2, -2, 4, -2],\n [-6, 0, -10, 8, 7, -10],\n [8, 10, 7, 2, 3, 0],\n [9, -5, -8, -6, -9, 10],\n [0, 8, 10, -6, 9, 4],\n [6, -3, 8, 10, -6, -5]]\nB =\n[[6, 3, -3, -3, -5],\n [-5, 1, 0, -2, -6],\n [-6, 3, 4, -7, 2],\n [-7, -8, 4, 2, -3],\n [7, 1, -6, 10, 9],\n [-9, 5, 5, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2031", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -8, 10],\n [-1, 9, 5, -2],\n [-9, -6, -3, 4],\n [-10, -6, 0, -7]]\nB =\n[[-3, -7, 10, 8, -7],\n [9, 0, 4, -7, 2],\n [-5, -8, 1, 10, -9],\n [-8, 5, 0, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 8, -6, -4],\n [4, -4, -6, 3, 10],\n [10, 5, -7, 3, 1],\n [6, -7, -5, 7, 10]]\nB =\n[[3, 7, 5, -8, -9],\n [-1, -9, -8, -3, 2],\n [7, -4, -10, 5, -9],\n [-6, -3, 6, 7, 8],\n [-6, 6, -9, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1373", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -7, -2, -6, 5, 6],\n [3, 5, -4, 5, 6, -7],\n [2, 2, -9, 3, -3, -2],\n [7, 9, -4, -10, 8, 9],\n [-1, -7, -6, -6, -2, 8],\n [1, -2, 1, 0, -2, -9]]\nB =\n[[-5, 10, 6, -8, -9],\n [10, -5, -2, 7, -7],\n [-5, -4, 4, 6, -4],\n [-10, 9, 7, 9, -5],\n [-9, 8, 3, -1, -10],\n [0, 7, 4, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 3, -2, 3, 0, 8],\n [1, 9, -5, -7, -2, 9],\n [-1, -1, -2, -8, -6, -1],\n [2, 0, 8, -8, -2, 0],\n [-6, -2, 9, 5, 3, -4]]\nB =\n[[1, 7, 8, -1, -6, 0],\n [-3, -8, -8, 5, 1, -9],\n [-10, 1, 10, -6, 0, 4],\n [-7, -4, 9, 10, 7, -6],\n [-3, 10, 10, -2, -8, -5],\n [8, -7, -9, -10, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-667", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -10, 1, 2, 3, 0],\n [-7, -1, -7, -3, 10, -3],\n [5, -3, -2, -6, 8, 6],\n [-9, -1, -8, -4, -4, -2],\n [-8, -9, -10, 8, -7, 3],\n [9, 9, -4, 5, 6, -9]]\nB =\n[[-3, -4, 2, -6],\n [4, -7, 2, -3],\n [-3, 3, 2, -5],\n [5, -9, -3, -6],\n [-9, -2, 1, -2],\n [2, 6, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 9, -7, -3],\n [9, -4, 0, 2],\n [6, -4, -2, -3],\n [8, -5, 3, 6],\n [1, 9, 3, -9]]\nB =\n[[5, -2, -8, -5, -7],\n [0, 2, -10, 5, -3],\n [-2, 5, 0, -5, -3],\n [10, 5, -8, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 8, -3, -3],\n [-6, 1, 8, -10],\n [-7, -8, -8, -6],\n [5, -3, 10, 6],\n [-10, -3, -7, 8]]\nB =\n[[-9, 7, 9, -10],\n [1, 7, -4, 4],\n [-4, 10, -7, 7],\n [-9, -6, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, -3, 1, -10, -4],\n [7, -6, 3, -4, -8],\n [1, 9, -6, 7, -2],\n [1, -9, 6, 8, -4]]\nB =\n[[-8, -5, 9, 4],\n [-2, -7, -4, 1],\n [2, -10, 3, -4],\n [-5, 7, -2, 1],\n [6, 5, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, 3, 8],\n [1, -9, -9, -9],\n [1, 1, 4, 7],\n [9, 0, -2, -1]]\nB =\n[[-3, -5, -2, 1],\n [-1, -5, 6, -2],\n [-10, 7, -1, 2],\n [-9, 6, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[3, 3, 5, 7, 2, -5],\n [-5, -2, 8, 1, 10, -3],\n [-8, 8, -1, -4, 10, 3],\n [-1, -5, 6, 4, 7, 5]]\nB =\n[[10, 8, -5, -2, -5, -10],\n [-3, 8, 6, -5, -5, -5],\n [-9, 4, -3, -8, 6, 5],\n [8, -6, -1, -10, 8, 1],\n [10, -4, 4, 3, 7, 6],\n [10, -1, 4, -5, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 7, -5, -1, 8],\n [10, 8, 3, -2, -6],\n [-1, -7, 2, -3, -8],\n [1, 8, 0, 0, -4],\n [8, 5, -9, 7, 0]]\nB =\n[[5, 8, 0, 7],\n [7, -3, 1, 10],\n [-7, -10, 10, -7],\n [7, -6, -3, -8],\n [4, -4, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "431", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 5, 4, 1, 0, -1],\n [-4, -9, -2, 1, -2, 3],\n [-8, 6, -5, -8, 6, -9],\n [2, 10, -9, -4, -3, 6],\n [-8, 2, 6, -9, 8, 4],\n [10, -3, 0, 3, 2, 1]]\nB =\n[[2, 0, 7, -10, 9],\n [8, -2, 7, -3, 3],\n [-7, -8, 6, -6, -1],\n [2, -5, -3, -4, 10],\n [1, -9, -1, 10, -1],\n [-4, -10, -4, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2211", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 6, 6, 6],\n [-7, -7, 5, -1],\n [8, 10, -3, -7],\n [-9, -2, 7, -5]]\nB =\n[[5, -2, 10, -10, -1, 3],\n [-2, 5, 10, 4, -7, -1],\n [-10, 0, -1, 1, -2, 10],\n [3, 8, -9, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -4, 7, -5, 9],\n [2, 8, 9, -7, 3],\n [6, 2, 9, -8, 3],\n [9, 0, -10, -7, -2]]\nB =\n[[1, -7, 9, 10],\n [-4, -7, -6, 3],\n [7, -2, -1, 2],\n [-8, 2, -8, -3],\n [-2, 6, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "491", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, 4, 3, -2],\n [-10, 9, 2, 3, 9],\n [5, -10, 4, -8, -8],\n [6, 7, -9, -1, -10],\n [4, 5, 9, -9, 0],\n [0, 0, 9, 2, 5]]\nB =\n[[-5, -3, 1, 7],\n [1, 4, 0, 3],\n [9, 6, -5, 5],\n [-9, 9, -10, 2],\n [9, -1, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1373", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[6, -8, -6, 7, -6, -9],\n [4, 0, 8, -9, 5, -8],\n [-5, 8, 10, 10, 8, 2],\n [2, 9, -9, 6, 1, -6]]\nB =\n[[8, 1, 2, 10, 3],\n [0, 8, -3, 7, 9],\n [-6, 0, -9, -5, -5],\n [9, 10, 3, -4, -10],\n [3, -6, -1, -7, -7],\n [6, 3, -10, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -7, -6, -7],\n [10, 4, -1, 6],\n [-4, -3, 8, -5],\n [2, -7, 5, -2],\n [6, 9, -4, 2],\n [9, -6, 9, -5]]\nB =\n[[-1, -2, 9, 8, 8, 2],\n [-9, 10, -2, -7, -8, 1],\n [-9, 7, -3, -1, -9, 5],\n [5, 5, 2, 3, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 10, 1, -1, 3],\n [5, 1, -2, 6, 8],\n [-3, -3, 5, -1, 10],\n [3, 2, -8, -9, -8],\n [3, -7, -4, -9, 10]]\nB =\n[[2, -8, 10, 2, 0, -5],\n [7, -3, 2, 5, 0, -8],\n [2, 0, 3, -4, -4, 8],\n [7, 4, 4, -1, -7, 3],\n [7, 6, 5, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -1, -10, 10, -2],\n [-9, -2, -5, -8, 1],\n [-1, -10, -3, -5, 6],\n [-10, -8, 2, 0, -7],\n [-10, 10, -6, -2, 6],\n [-1, 3, -9, -2, 8]]\nB =\n[[7, -7, 9, -7, -10],\n [1, 6, -10, -10, 4],\n [2, -9, -7, 0, -4],\n [7, 5, -3, 7, -8],\n [7, -4, 8, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -3, 5, 6, -5, -5],\n [6, 3, -1, 7, 7, 10],\n [-10, 9, 1, 7, 1, -3],\n [-8, 6, -9, 1, -9, -5],\n [-8, -3, -10, 3, 2, 3]]\nB =\n[[7, -3, 2, 0, -5],\n [-9, 7, -10, 1, 5],\n [7, 0, 1, -8, -1],\n [2, 9, 6, 9, 6],\n [-3, 6, -1, -1, 7],\n [-7, -1, -9, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2063", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -9, 0, 7, 4],\n [-6, 6, 10, -10, -8, -10],\n [1, -1, 10, 9, -1, -3],\n [-8, -10, 7, 2, 0, -5],\n [7, 9, -2, 4, 4, 0]]\nB =\n[[9, 9, 3, 8, -2, 0],\n [-2, 5, 6, 7, -9, -3],\n [3, 7, -9, 4, -2, -7],\n [-6, -8, -6, 10, -2, -10],\n [3, 6, 3, -3, -6, 7],\n [8, 0, 2, 0, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -3, -2, -4, -1],\n [4, -7, -1, 1, 5],\n [-3, 0, -8, 1, 8],\n [7, -7, 2, -1, 4]]\nB =\n[[8, 2, -8, -1, 10],\n [3, 0, 1, -8, 10],\n [-5, -5, -2, 5, -8],\n [6, -9, -5, 0, -8],\n [8, 7, 5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, -5, -7, 8],\n [2, -8, 7, 9],\n [-7, 8, 9, 0],\n [5, 7, -8, -3],\n [3, -5, -3, -10],\n [-3, -2, 2, 6]]\nB =\n[[8, -6, 5, -6],\n [-7, 9, -3, -6],\n [8, 3, 10, 3],\n [-2, 6, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -5, 3, -10, -8, 3],\n [3, 3, -7, -7, -5, 3],\n [0, 6, 5, -2, -4, 1],\n [3, -5, -3, -7, 5, 7],\n [2, 6, -9, 10, -4, 8]]\nB =\n[[-2, -3, 0, -7, -10],\n [-8, -2, 6, 10, 0],\n [1, 2, 7, -7, 3],\n [-1, 2, 6, 4, 2],\n [-6, 10, 3, 2, 6],\n [4, 3, 10, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1540", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[6, -2, 6, -4, -7],\n [0, 5, -10, -5, 5],\n [-4, 8, -6, -5, -6],\n [-4, -1, 6, 6, 8]]\nB =\n[[10, -8, 10, 2, -10, -8],\n [2, 5, 7, 0, 6, -10],\n [6, -9, -10, -2, 4, 7],\n [5, 2, 7, -7, 3, -4],\n [4, -2, 5, -3, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, -9, -4, -1, 10],\n [-9, 9, 8, -9, 2, 4],\n [0, 6, -4, 8, 7, -3],\n [-10, -10, 0, 6, 6, -2]]\nB =\n[[10, -8, 8, 10, -8, 9],\n [5, 10, 0, 10, -3, -7],\n [-7, 8, -8, 0, -1, 7],\n [0, -7, -7, 10, 9, 3],\n [9, 0, -1, -5, -6, 8],\n [0, -2, -7, 5, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-370", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 9, -7, -3, -2],\n [8, 1, 4, -1, -6],\n [-8, -7, 6, -9, -5],\n [-5, -2, -9, -3, -3]]\nB =\n[[4, 8, -3, -10, -8],\n [8, -5, -1, 5, 6],\n [10, 5, -9, 7, 6],\n [-1, -3, -7, -8, -10],\n [9, 9, 5, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 0, 6, 7, -5, -1],\n [3, 9, -1, -2, -8, 0],\n [1, 9, 5, 7, 8, 1],\n [5, 3, 2, -2, 8, 8],\n [-1, 0, -9, 3, 8, 1],\n [8, 0, 4, 7, 9, 7]]\nB =\n[[-6, 9, 8, 5],\n [7, 2, -7, -8],\n [-9, -8, -5, -5],\n [-1, 10, 2, 1],\n [-4, -3, -9, 1],\n [3, 9, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, 5, 7, 9],\n [-2, 1, 1, -7],\n [-6, -7, 3, -10],\n [2, 9, -5, -8],\n [1, -10, -9, -2],\n [-8, 1, -3, -6]]\nB =\n[[-7, 2, 7, -3, 8, 7],\n [-7, 7, 10, 10, 2, -10],\n [-4, 0, -8, 9, 8, -8],\n [-2, 3, -8, 4, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -8, 5, -5, -7, 9],\n [-6, 10, 8, -6, -9, -3],\n [-5, 0, -7, -8, 5, 4],\n [6, 4, -8, -6, -2, -4],\n [1, -5, -6, -3, 9, 5]]\nB =\n[[6, 9, 5, 0],\n [10, -3, -3, -4],\n [9, -3, 3, -9],\n [1, -8, 9, -10],\n [-8, 8, 9, -3],\n [-10, -4, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 1, -3, -2, -2, 2],\n [10, 8, -5, 5, -5, -10],\n [1, -9, 6, -10, 10, -1],\n [5, -6, 0, -4, 5, -4],\n [7, -8, -10, -1, -6, 0],\n [-6, 8, -8, -4, 4, -3]]\nB =\n[[-9, -5, -7, 8, 3, -3],\n [-5, -8, 5, -4, 8, -4],\n [-7, -6, 2, 0, 1, -2],\n [-1, 0, 5, 8, 3, 2],\n [-5, 8, -9, -10, 4, -5],\n [9, 1, -5, -5, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 1, -4, -9, 2, 1],\n [-1, 1, -1, -6, -5, -1],\n [-4, 3, 1, 4, -8, 4],\n [5, -1, -3, -7, -5, -7]]\nB =\n[[9, 7, 3, 6],\n [7, 1, -9, 3],\n [-9, 0, -9, 5],\n [-8, 9, 1, 0],\n [-6, -3, 3, -2],\n [-6, -4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "799", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -10, 10, 4],\n [-10, -8, 1, 6],\n [-3, 3, -4, -4],\n [-7, 8, 2, -8],\n [1, -9, -7, -5]]\nB =\n[[-7, -8, -4, 4, -2],\n [-7, -1, 0, 7, 7],\n [-4, -1, -3, 7, -8],\n [7, -5, 3, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1583", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[7, -2, 9, 0, 10],\n [9, 8, 5, 10, 2],\n [-1, -1, 6, -2, 4],\n [-1, 9, -10, 10, -10]]\nB =\n[[0, 9, -7, -7],\n [-9, 0, -10, -1],\n [-3, -6, 8, -5],\n [-10, -6, 0, -9],\n [6, -7, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -4, -4, -10, -2, 4],\n [3, -4, -3, -5, 1, -2],\n [10, 9, 2, 0, 2, -2],\n [-4, 8, -3, 9, -3, 6],\n [5, -8, -7, 6, -1, 0]]\nB =\n[[2, -5, -1, 8, 2, -5],\n [6, 1, 1, 5, -2, -8],\n [-5, -2, -4, 9, -7, 4],\n [1, 8, 2, -6, -2, 6],\n [1, 5, 5, 4, 6, 6],\n [-1, -9, 6, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[9, -10, 2, 9, -4],\n [-6, -2, 3, 7, 3],\n [5, -10, 8, 1, -9],\n [-3, 8, 6, 7, -7]]\nB =\n[[4, -6, 1, -5],\n [0, 9, 10, -10],\n [-4, 5, -9, 9],\n [8, -5, 3, -5],\n [-9, -2, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 2, 6, 3, -2],\n [-9, -10, 0, -3, 10, -9],\n [2, 8, 7, -3, -10, -8],\n [-4, -10, 5, 0, -1, 7],\n [-2, -8, -7, 6, 8, -9],\n [5, 4, -7, 3, 6, 2]]\nB =\n[[4, -7, -7, 5, -3],\n [-2, -9, -1, 6, 6],\n [0, 8, -7, 3, 3],\n [-2, 10, 1, -9, 0],\n [6, 9, -4, -3, 10],\n [-7, 10, -7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2221", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, 9, 4, 4],\n [-5, 8, 7, -1, 3],\n [5, 6, 7, -2, 7],\n [-9, 4, 5, -2, -1]]\nB =\n[[4, -4, 10, -10, 10, 10],\n [7, 7, 2, 9, -4, -7],\n [-3, -7, 9, -8, -9, -1],\n [-1, 1, 7, -2, 10, 6],\n [-8, -1, 9, -6, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -8, -7, 2, -2],\n [-10, -6, 5, 10, -9],\n [1, -7, -6, 1, -9],\n [3, -8, -7, 10, -10],\n [3, -8, 0, -6, -7],\n [-9, -10, 5, -5, 3]]\nB =\n[[4, 2, -8, 9],\n [2, 3, -9, -1],\n [-1, -10, -1, 9],\n [-8, -2, 7, 5],\n [5, 10, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1968", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 8, -3, 9, -10, -3],\n [8, 2, -4, 9, 1, 6],\n [5, -4, 4, 3, 4, 9],\n [9, -2, 5, -2, -10, 3]]\nB =\n[[-5, -2, -7, -3, 4],\n [-3, -10, 7, -10, 7],\n [-9, -5, -9, 10, -3],\n [-8, -8, -8, 0, 5],\n [-6, 2, -2, -10, -2],\n [8, 5, -5, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 10, -2, 2, -4],\n [-3, 9, 1, 9, 8],\n [-8, 7, 4, -4, 1],\n [-8, 5, 5, 10, 4],\n [-5, -8, -2, 10, -7],\n [9, 7, 0, 8, 1]]\nB =\n[[-9, 10, -1, 10, -3],\n [7, -1, 3, -7, 3],\n [-1, -8, 4, 3, -3],\n [0, -9, 6, -1, -7],\n [9, 6, 4, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 5, -8, -10, 2],\n [7, -7, 0, 3, -3],\n [1, 1, 0, -6, 9],\n [-1, 3, -1, 6, -2]]\nB =\n[[-10, 1, 9, 6, -7, -2],\n [-1, -8, -3, -1, -4, 10],\n [7, 9, 7, -9, -8, 2],\n [3, 9, 2, -10, 8, 7],\n [-6, 6, 2, -1, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 3, 2, -8, 5, -6],\n [6, -1, -4, -3, -5, 0],\n [-4, 10, -2, -7, -7, 5],\n [5, 4, -2, 3, 0, -5]]\nB =\n[[8, -6, -9, 7, 2],\n [-8, -4, -8, -2, 3],\n [1, 8, 9, -4, -1],\n [1, 4, -7, 2, -6],\n [4, 5, -5, 4, -6],\n [-6, -6, 1, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, -1, -9],\n [-5, -1, 8, 10],\n [-4, -1, -9, 5],\n [9, -8, 6, 3]]\nB =\n[[-7, 10, -7, 0, -9, -8],\n [0, -1, -8, -7, 1, -8],\n [-1, -1, 2, -10, 0, -5],\n [-7, 6, -6, 3, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 10, 5, -5],\n [2, 6, 9, 10],\n [1, 7, -7, 7],\n [-10, -5, -4, 1],\n [-4, 8, 5, -3]]\nB =\n[[-3, -8, 7, -9],\n [3, -10, -10, -10],\n [-4, -7, 10, -9],\n [9, -2, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 5, -5, -7],\n [-2, 6, -6, -10, 5],\n [-4, 3, 4, -3, -10],\n [-6, 10, -10, 0, 6]]\nB =\n[[-6, 3, 6, 10, 10, 2],\n [-3, -3, -8, -7, -1, -9],\n [9, 0, -1, -2, -9, 8],\n [6, 0, 2, 5, 0, -1],\n [-9, 8, 7, 3, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, -6, 2, -8, 5, 10],\n [9, -5, -10, -6, -4, 10],\n [-2, -4, -8, -1, -8, -6],\n [-4, -6, 5, -8, 10, 0],\n [7, 5, -2, 8, -9, -4]]\nB =\n[[-2, 6, 1, -9, -4],\n [5, -7, 0, -9, -9],\n [-7, -9, 4, -8, 1],\n [10, 9, -10, -6, 6],\n [-10, -9, -8, 3, -5],\n [4, -5, 4, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, -8, -6, 7],\n [4, 9, -9, -2, -7],\n [-3, 1, 5, -2, -3],\n [6, 6, 7, 9, -9]]\nB =\n[[8, 1, -9, -9],\n [-10, 3, -7, -9],\n [6, 4, -8, 10],\n [-9, 7, 0, 10],\n [-8, 1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -7, 10, 0],\n [5, -7, -6, -1],\n [1, -1, -6, -10],\n [5, 6, 10, 5]]\nB =\n[[-6, 4, 6, -8, -3],\n [0, -8, 0, -1, 10],\n [-2, -4, -3, -5, -4],\n [-4, 0, 4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 2, -5, 4, -6],\n [-3, 4, 5, -4, 0],\n [-4, 9, 0, -10, 4],\n [10, 6, -9, 9, 6]]\nB =\n[[0, -3, -9, 0, -6, 2],\n [-4, -3, -8, 2, 10, -4],\n [8, 9, 10, 0, 0, -5],\n [-10, -4, 6, -3, 6, 8],\n [3, 10, 2, -9, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 0, 1, 6, 3],\n [-3, 7, -10, 6, 8],\n [-2, 3, -6, -1, -1],\n [1, 0, -4, 4, -7],\n [6, -4, -3, 2, -7]]\nB =\n[[9, -10, -1, -9, -7],\n [9, 4, 8, 3, -3],\n [10, 6, -1, 6, -6],\n [2, 0, 10, -2, 1],\n [-6, 2, 5, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 9, 7, 4, 0],\n [4, -1, -8, -9, -9, -1],\n [-5, 2, -1, 8, 7, -6],\n [-7, 3, 6, 2, -4, -8],\n [-5, 3, -6, -10, -9, 1]]\nB =\n[[-10, -7, 0, -1, 5, 9],\n [-3, 6, 9, -2, 1, -10],\n [-10, 6, -3, 1, 9, -4],\n [4, -7, -4, 8, 8, 0],\n [6, 5, -1, 4, 2, 9],\n [4, 1, -7, 3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 8, -3, -1, 7, -10],\n [0, 0, -9, 5, 0, 1],\n [5, 0, 2, -5, -4, 5],\n [0, -1, 9, 5, -3, 8],\n [10, 3, -8, -9, 10, -4],\n [10, 9, -3, 1, -5, 3]]\nB =\n[[-5, 3, -6, -3, -2],\n [-5, 8, -9, 5, 5],\n [0, 4, -7, -3, -8],\n [8, 8, 3, 1, -7],\n [1, -1, 7, 5, -6],\n [10, -6, 3, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -7, -2, 1, -6],\n [6, 10, 1, 10, 9],\n [-9, 9, 8, -1, -3],\n [-1, 1, -2, 9, -4],\n [-3, -4, -6, -3, 9]]\nB =\n[[-6, 2, 7, 7, -2],\n [2, 3, -9, 4, 5],\n [-6, -5, 5, 8, 3],\n [1, -10, 1, -8, 10],\n [-1, 7, 0, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -4, -4, 0, -2],\n [9, -9, -10, -1, -4],\n [2, -5, -3, -8, 5],\n [1, 8, 0, -5, -5]]\nB =\n[[-1, -5, 9, 8, 4],\n [6, 5, -9, 0, -7],\n [9, -7, 7, 0, 4],\n [-10, -10, -5, 9, 7],\n [-1, -3, -2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -5, -9, -7, -2],\n [8, 2, 10, 8, 9],\n [7, 7, 9, 5, -5],\n [4, 10, 2, -2, -5],\n [-10, -5, 4, -10, -9]]\nB =\n[[-5, -6, -1, -1, 1, 5],\n [-1, -4, 4, 10, -5, 3],\n [-3, -5, 4, 9, -5, 1],\n [1, -1, -2, 1, 5, 6],\n [4, 5, -4, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -4, 6, 10],\n [9, -4, -10, 6],\n [-5, -3, -8, 4],\n [0, -6, 6, 5],\n [4, -10, 5, 10],\n [-5, -10, -3, 4]]\nB =\n[[-3, 6, 1, -7, -7],\n [-1, 10, 10, 1, -7],\n [9, -1, -9, -5, 5],\n [5, 0, 3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -1, 10, -2, -10, 9],\n [-5, -5, -4, -2, -8, 9],\n [-5, -3, -2, 10, 2, -2],\n [-7, 5, -5, -7, 10, -4],\n [2, 7, 7, -9, -2, -5]]\nB =\n[[8, 10, -4, 6],\n [-6, 1, 0, 2],\n [10, 1, -1, 6],\n [7, -1, 10, 1],\n [7, -3, -1, 0],\n [8, -5, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-6, 6, -1, -4, 9, 0],\n [-6, 4, -5, 0, 8, 5],\n [-5, -2, 5, -4, -7, -5],\n [-7, -7, -1, 0, 3, -1],\n [-1, -1, 0, 10, 6, 9]]\nB =\n[[-10, -9, -4, 0],\n [-1, 2, -2, 2],\n [-5, -3, 5, -6],\n [9, 4, -2, -10],\n [6, 7, -8, 3],\n [-5, -5, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -9, -4, 1, 6],\n [3, -3, 1, -8, -6],\n [5, 9, -8, -4, 7],\n [0, 9, 9, -9, 2],\n [4, 10, 1, 8, 10],\n [-2, -7, 1, 10, -8]]\nB =\n[[5, -1, 6, -9],\n [-4, -4, -7, 6],\n [7, 9, 6, 6],\n [-4, 0, -4, -10],\n [4, 3, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -5, -10, -6],\n [-7, 5, 10, 4],\n [10, -4, -10, -1],\n [-7, -8, -7, 4],\n [-7, -8, 1, 5]]\nB =\n[[9, -10, 5, -8, -10],\n [-5, 8, -2, -2, 10],\n [5, -10, -7, 5, 3],\n [2, 8, 9, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1528", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -2, -4, 7],\n [9, 1, 6, -10],\n [-6, -3, 2, 2],\n [4, 2, -5, 1],\n [5, 0, -9, -6],\n [-6, -9, 0, 10]]\nB =\n[[1, 2, 5, 10, 8, 7],\n [-9, 2, 7, -4, -10, 5],\n [9, -4, 5, 10, 1, 10],\n [2, 5, -3, 8, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, -4, -5, 10, -3],\n [-5, -8, -2, 10, 10, -9],\n [-8, 3, -8, -3, -1, 3],\n [-1, -6, -2, 9, 2, 9]]\nB =\n[[8, 10, 0, 9, 2],\n [-10, -5, 1, -9, 1],\n [2, -7, 5, 0, -4],\n [2, 0, 5, -7, -8],\n [-1, 7, -4, -4, 9],\n [-7, -10, -3, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, -2, 1, -10],\n [-5, 9, -4, 10, 5],\n [-3, 1, -6, 9, 4],\n [4, -7, 2, -7, -8],\n [3, 1, 7, -8, -3],\n [3, 4, -6, 2, 4]]\nB =\n[[-1, 0, -8, 7, -7],\n [-5, -10, 9, 9, 6],\n [-7, 10, -6, -7, -4],\n [5, -7, 4, 6, -2],\n [-7, -9, -10, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2570", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -5, -1, -3],\n [7, -8, -3, 3],\n [-5, 7, 0, 3],\n [4, 6, -8, 1],\n [3, -6, -8, -2]]\nB =\n[[2, 8, -9, -3],\n [-4, -8, 6, 10],\n [5, 8, 5, 4],\n [3, -9, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-494", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -3, -2, 0, 8],\n [-6, -1, 3, -9, -3],\n [-3, -7, -7, 5, 9],\n [-8, -6, -8, -8, -10],\n [-10, 1, 5, 7, 6],\n [-10, 7, -7, -1, 8]]\nB =\n[[2, -5, 3, -8, -5, 2],\n [-5, 8, 7, -2, 1, -5],\n [-6, -2, 0, 9, -8, -7],\n [7, 5, 5, 0, 6, -1],\n [-8, -9, 9, -6, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -2, -7, -9, -3],\n [-3, 7, 6, 10, 0],\n [-4, 6, 10, 8, -10],\n [-6, 8, -3, 8, 9],\n [7, 4, 9, -8, -2],\n [7, 3, -4, 2, -4]]\nB =\n[[10, 4, 3, 7],\n [7, -8, -9, -9],\n [5, 6, 7, 1],\n [-7, 1, -5, 10],\n [-7, 1, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1630", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -5, 4, 4, -6, 5],\n [-4, 3, 2, 10, -4, 1],\n [-9, 0, -4, -4, 10, -7],\n [-8, 2, -6, 4, 8, -3],\n [-8, -3, 9, -6, 3, 5],\n [0, 1, 0, 10, -6, 10]]\nB =\n[[-6, 6, -6, -1, 6, -2],\n [-6, -10, 9, -9, 8, -2],\n [-5, -5, -7, -6, -2, -8],\n [-2, 10, -6, 6, 6, 8],\n [-1, 9, 1, 10, -7, 2],\n [9, 10, 6, 10, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "963", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -5, 5, -6],\n [2, -6, -4, 6],\n [4, 4, 0, -8],\n [0, -9, -4, -9]]\nB =\n[[7, -7, -3, 2, 5],\n [-7, 9, -2, -6, 9],\n [9, -9, -7, -4, 0],\n [6, 6, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1015", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[-8, -2, 7, 1, -3],\n [2, 10, 6, -10, -1],\n [5, -10, -6, 2, -9],\n [-6, 1, -8, -8, -3],\n [-9, -8, 4, -3, 9]]\nB =\n[[3, 2, -7, -5, -1],\n [-6, 4, -8, -1, 9],\n [-6, 6, 9, 0, 2],\n [6, -4, -10, 1, -2],\n [5, -10, -9, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 6, -7, -6, 7],\n [-10, 1, 1, 4, -6, -4],\n [1, 0, 5, -6, -3, 5],\n [-1, 8, -9, -8, -3, -7],\n [-7, 7, 1, -2, 10, 3],\n [8, -2, 8, -4, 4, -1]]\nB =\n[[9, -2, -7, -8, -5, -3],\n [-6, -5, 3, 2, 9, 0],\n [8, 0, 2, 8, -3, 8],\n [3, 4, -10, -6, 0, 0],\n [1, 9, -2, 9, 7, 10],\n [9, 4, -7, 3, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -2, -9, 1, 10],\n [3, 10, 7, 5, 6],\n [5, -9, 6, -2, -1],\n [10, 2, 0, 5, 0],\n [-9, -6, -2, -2, -3],\n [9, -5, 10, -9, -3]]\nB =\n[[-1, 8, -10, 0, -6, -3],\n [-8, 0, 2, 8, -7, 7],\n [-5, -7, 0, -9, 6, -9],\n [-1, -5, 0, 1, -3, 9],\n [-10, 5, -5, 9, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 6, -2, -10, -4],\n [-1, -10, 4, 3, -8],\n [10, 7, 3, 8, -8],\n [-4, 6, 1, -5, 7],\n [1, 5, -9, 3, 1],\n [3, -9, -8, -1, -7]]\nB =\n[[-10, -8, -4, -7],\n [4, 5, 9, -3],\n [5, 6, 1, 7],\n [-7, 7, 6, 7],\n [9, -9, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1655", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -1, -10, 10, 9],\n [-5, -1, -6, -10, 2],\n [8, -6, -7, 5, 8],\n [-1, -5, -10, -2, -8],\n [-1, 2, -9, 3, 2]]\nB =\n[[-4, -5, -1, -3],\n [-1, 2, 3, 3],\n [-9, 6, 0, 2],\n [-2, -1, 10, 7],\n [-4, 8, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -5, -4, -7, -8],\n [-8, 2, -6, -7, 0],\n [9, -9, 6, -6, -3],\n [7, -1, -2, 1, -2]]\nB =\n[[-9, -10, 7, 9, -10],\n [4, -8, 7, -10, -1],\n [5, 7, 5, 5, -1],\n [10, 9, 9, -3, -8],\n [-6, 0, 0, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1867", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -8, 5, -6],\n [8, 6, -2, 10, -5],\n [-6, 1, -6, 9, -7],\n [-7, 5, 10, -3, -1],\n [-7, 8, 0, -9, -6]]\nB =\n[[4, 3, 1, -2, 7],\n [6, 3, -9, 2, 9],\n [6, -2, 5, -10, -4],\n [2, 6, 4, -2, -5],\n [5, -4, 0, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1355", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -3, -7, 6, 4, 6],\n [0, -7, 8, 10, -8, 7],\n [0, 3, 9, 5, 3, -7],\n [-9, 8, -9, 9, -7, 2],\n [-3, -7, 2, 1, 1, -2],\n [4, 10, 5, -6, 8, 0]]\nB =\n[[7, -9, -4, 9],\n [10, -2, -1, -3],\n [-8, -1, 5, -7],\n [-2, 0, 7, 5],\n [-3, -1, -6, -2],\n [9, 8, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, -4, 9, 5],\n [2, 1, 6, 8],\n [2, 10, 7, -10],\n [4, -1, 0, 5],\n [-6, 3, -2, 10],\n [-7, 9, -9, -6]]\nB =\n[[-3, -4, 10, 5, -6, 7],\n [-9, 4, 9, -3, 8, 6],\n [5, -1, 2, -8, -8, -1],\n [3, -9, -10, 6, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 3, -9, 1, 1, -9],\n [-6, -7, -8, -8, -6, -6],\n [-1, 8, 6, 10, 2, 8],\n [4, 3, 4, -7, -2, -8]]\nB =\n[[-9, 7, 4, 8],\n [-4, -2, -8, 0],\n [6, 9, 0, 4],\n [4, 10, -4, 0],\n [-7, 5, -7, 3],\n [8, 9, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-511", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -6, 7, -8],\n [1, 3, -10, 1],\n [9, -3, 3, -10],\n [5, 6, -5, -10],\n [-4, -7, -2, 1],\n [-8, -1, -3, -5]]\nB =\n[[-4, 10, 8, -9, -7, 9],\n [5, 4, 1, 8, -2, 10],\n [9, -9, 7, -3, 10, -2],\n [-1, 10, 10, 6, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, -10, 8, -10, 9],\n [-4, 6, -7, 0, 3, 9],\n [2, 6, 7, -5, 3, -9],\n [9, -5, -3, -7, 6, -10]]\nB =\n[[-9, -1, 6, -9, 4, 9],\n [-8, 2, -6, 3, -7, 0],\n [-7, 4, -9, 5, -10, -5],\n [-2, 0, 6, 4, -1, 1],\n [0, 10, 6, -3, -7, 8],\n [-2, 3, 8, -10, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1988", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 10, -2, 8, -6],\n [2, 5, 6, 0, 8],\n [7, 3, -5, 0, 9],\n [-8, 3, -10, -9, 5],\n [-6, 9, -4, 7, -3],\n [9, -6, 0, 0, 4]]\nB =\n[[8, 4, -4, 4, 6],\n [-8, -6, -1, -10, 3],\n [-1, -7, 10, 1, -7],\n [7, 0, -9, -8, 7],\n [9, 4, -9, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2210", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, -8, -1],\n [5, 8, -1, -3],\n [3, 1, -9, -4],\n [-3, -4, -1, 1]]\nB =\n[[-9, 2, 8, 8],\n [8, 2, 2, 9],\n [-1, -6, 0, -7],\n [-8, 0, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "667", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-9, 6, -3, 7, 5, 0],\n [7, -7, 5, 10, 1, 10],\n [9, 3, -1, 2, 2, 3],\n [-7, -2, -8, 0, -5, 9],\n [-4, -6, -10, 7, 4, -6],\n [-9, -6, 3, 3, 9, -1]]\nB =\n[[1, 10, 3, -5],\n [-3, -7, -6, -3],\n [-4, -10, -4, -5],\n [2, -7, 6, 7],\n [9, 9, -2, 10],\n [9, -6, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[5, -3, 5, -1, -3, 6],\n [-1, 9, 0, -10, 9, -4],\n [7, 10, -1, -4, -10, -2],\n [-5, 4, -5, 6, -4, 5]]\nB =\n[[-9, 7, 1, -3, -5, -3],\n [3, 0, -2, 4, 4, -6],\n [-7, 0, 4, 6, 0, 10],\n [-6, -5, 0, 7, 6, -2],\n [-5, 3, 7, -5, -5, 5],\n [-2, -10, -4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 1, 2, -9, 2],\n [-2, -1, 1, 4, -7],\n [7, -10, -2, -10, -7],\n [6, -3, 6, -7, 2]]\nB =\n[[9, 10, 8, 0],\n [6, -10, -5, 5],\n [-4, 7, 8, 8],\n [-6, 9, 2, 1],\n [-1, 2, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -5, 0, -2, 0],\n [5, -9, 3, 10, 5],\n [-5, -5, 0, 1, 10],\n [-4, -1, 10, 5, 4]]\nB =\n[[4, 7, -5, -9, 3],\n [-8, -10, -5, -10, -4],\n [-7, -6, 5, -6, 9],\n [5, -9, 4, -10, -8],\n [-3, -4, 0, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-2, 10, -1, 1, -7, -1],\n [10, 9, -5, 9, -4, 4],\n [-5, 1, -7, -5, 2, 8],\n [-3, 10, -5, -2, 5, -2]]\nB =\n[[-4, 1, 0, -9],\n [-2, -10, 8, -1],\n [-1, -10, 4, 8],\n [0, -4, -6, 0],\n [2, 10, -10, -1],\n [4, 6, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[2, 0, 5, 2, 0],\n [10, 1, 5, -4, 6],\n [4, -1, 10, 2, 6],\n [-1, -9, -2, -5, 8],\n [6, 7, 9, -3, 8],\n [-1, 8, 6, 0, -4]]\nB =\n[[6, 4, -10, -4],\n [-3, -8, -7, -9],\n [9, -8, 2, -1],\n [6, 5, -10, -7],\n [8, -3, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 5, -6, -8, 9],\n [4, 2, -4, -10, 10],\n [0, 0, 0, -10, 0],\n [7, -10, -9, 3, -10],\n [10, -5, -7, -2, 1],\n [-10, 4, 4, 6, 2]]\nB =\n[[8, 6, 1, 5, -3],\n [7, -5, 4, 9, -9],\n [6, 7, -5, 10, 8],\n [-10, -3, 2, -9, 4],\n [10, -3, -3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 3, -1, -5, 6, 8],\n [1, 1, -10, -5, -9, -3],\n [-9, -1, 5, 1, 6, 1],\n [10, 1, 8, -10, 1, 7]]\nB =\n[[-1, -10, 8, -6, -10, 1],\n [-9, 8, -9, 6, 7, 0],\n [-1, -5, 1, -2, -10, -8],\n [-6, -10, 10, -3, -2, 7],\n [0, -3, -10, -5, -10, 5],\n [-6, 8, -5, 0, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1583", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, -3, 7, 9],\n [-4, -8, 1, -10],\n [-9, -1, 3, -9],\n [5, -7, 8, -1]]\nB =\n[[-4, 6, -9, 6, -9],\n [2, 8, 0, -10, -2],\n [-10, 1, -1, -2, 3],\n [-8, 10, 7, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, 0, -4, 9],\n [5, -3, -9, -4, -1],\n [0, 4, 5, 1, -3],\n [3, -10, -1, 7, 1]]\nB =\n[[7, 2, -2, 7, 1],\n [-2, 1, 1, 4, 0],\n [6, -3, 10, 6, 7],\n [0, 2, 3, 4, -9],\n [-10, 2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -6, -1, 4, 10, 8],\n [-6, 4, 4, 0, -5, 0],\n [-3, 1, -5, 0, 4, 0],\n [-5, 5, 9, -6, -5, 10],\n [6, 6, 0, 0, -9, 2],\n [8, 3, 10, -2, 10, -10]]\nB =\n[[3, 5, -8, -4, -10],\n [-4, 8, -6, -6, -9],\n [-10, -9, -7, -2, -7],\n [6, 6, 8, 0, -7],\n [-6, -4, -6, -2, -6],\n [4, -8, 7, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1902", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 8, 3, 0, 6, -4],\n [6, -8, -6, 2, 1, -8],\n [-4, -5, 5, 2, 4, 1],\n [-6, -4, 5, 9, -2, -1],\n [-4, -7, -6, 5, -9, 0]]\nB =\n[[-1, -4, 6, 0, 1],\n [-6, -5, 2, -5, 9],\n [-3, -7, 5, -9, -3],\n [4, -4, -7, -2, -5],\n [-4, 10, 3, -2, -3],\n [2, 5, -8, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[9, -8, -5, 7],\n [10, 1, 8, -10],\n [-9, 5, 10, -5],\n [-3, -9, 2, -2]]\nB =\n[[-3, 4, 8, 9, -8],\n [3, -6, 9, -6, -9],\n [6, -5, -2, 9, -7],\n [10, -2, 10, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[10, 7, -5, 2],\n [0, 9, 9, 4],\n [0, -6, -7, -3],\n [7, -8, 0, 8]]\nB =\n[[-1, 3, 1, -4],\n [2, 3, -7, 5],\n [0, 6, -8, -3],\n [9, 3, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -3, 3, 8, -4],\n [7, 9, -2, -4, 4],\n [8, -8, -6, -4, 7],\n [-1, -7, 4, -4, 4],\n [-7, 2, 7, 10, -8],\n [6, 8, 5, 9, -9]]\nB =\n[[-8, 6, 5, -4],\n [-1, 5, -4, 3],\n [3, -9, -3, 4],\n [-2, 5, 7, -8],\n [6, -1, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 0, 3, -1, 6],\n [9, 7, -3, 7, 1, 6],\n [-2, 0, 9, -7, -5, -9],\n [2, -7, 4, -4, 9, 1]]\nB =\n[[-7, 4, 9, 5],\n [-5, -3, -7, -2],\n [0, 4, 2, 2],\n [2, 2, 7, 6],\n [-3, -4, -10, 2],\n [4, 8, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-6, -4, 7, 5, -5, 8],\n [-7, 7, 9, 5, 6, 10],\n [8, 9, -1, -6, -3, 2],\n [6, -2, 6, -7, -10, 7]]\nB =\n[[8, -4, 7, -5, -3, 1],\n [3, 5, -3, -5, 0, 0],\n [9, 6, 6, -7, 10, 0],\n [-7, -8, 2, -10, 10, 8],\n [-3, -3, 0, 3, 4, -6],\n [9, 9, -5, -5, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -2, 4, 6],\n [4, 1, 0, 1],\n [6, 8, -5, -9],\n [10, 9, 10, 8],\n [-6, -4, -9, -5],\n [-1, -7, 8, 4]]\nB =\n[[3, 5, -2, -9],\n [7, 3, -5, 8],\n [-9, -6, -8, -10],\n [0, 8, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -2, 3, 2],\n [5, 3, -4, 7],\n [-8, -6, -7, 7],\n [-4, -3, -1, -3],\n [7, -10, 1, 8],\n [4, -3, 10, 2]]\nB =\n[[4, 9, -9, -9],\n [-2, 8, 2, 10],\n [-2, -9, 9, -4],\n [-4, 2, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1282", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 9, -9, 5, 8, 3],\n [7, 1, 4, 0, -7, -5],\n [-6, 7, 8, -6, 0, -8],\n [8, 1, 0, -10, -7, 6],\n [-8, -4, -4, 3, -3, 4],\n [4, -9, 4, -7, -7, 0]]\nB =\n[[-5, 5, 5, -8, -2, -5],\n [-8, 0, -5, -10, 4, -6],\n [7, -1, 5, -9, 3, -4],\n [5, 6, 9, -9, -9, -7],\n [-6, 9, 10, -2, -10, 1],\n [0, 2, -6, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 2, -9, -5, -1],\n [-2, 6, 10, 1, -5],\n [5, -10, -7, -10, 0],\n [7, 0, 9, 8, 1]]\nB =\n[[-5, -4, 3, -8, 10],\n [-1, -10, -1, -2, -2],\n [-7, 7, 5, 5, 3],\n [-8, 6, 5, -9, 0],\n [5, 3, -6, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1325", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[6, -1, 10, 8],\n [10, -9, -2, 9],\n [3, 8, 1, -5],\n [6, 9, 1, -6]]\nB =\n[[7, 2, 10, -5, 5],\n [10, -8, 8, 1, 5],\n [-2, 3, -10, -8, -6],\n [-5, 3, -1, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-7, -2, 8, -9, 4, -3],\n [5, -4, 10, -3, 5, 6],\n [-6, -6, -6, 0, 10, -8],\n [9, 1, -5, -9, -8, 0]]\nB =\n[[1, 3, 9, -10],\n [5, 6, 1, 8],\n [5, -7, 6, 0],\n [2, -10, -3, 5],\n [5, 10, -4, 0],\n [-6, -10, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[9, 0, -2, -4],\n [-7, 1, -2, 9],\n [-6, -3, 2, -2],\n [9, 9, 4, -8]]\nB =\n[[-3, 6, -9, -3],\n [7, -2, 3, 9],\n [1, 8, 3, -1],\n [-9, 7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -4, 2, -7],\n [4, 3, -2, -1],\n [0, -2, -10, 8],\n [6, 5, -1, 3]]\nB =\n[[-1, 1, 0, 8, 0],\n [4, 10, 8, -2, 5],\n [6, -7, -8, 0, 2],\n [-1, 10, -7, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 8, 7, -5, 6, -6],\n [3, 3, -4, 9, 7, -4],\n [4, 2, 10, 7, -6, -8],\n [8, 9, -2, 2, 6, 1],\n [-5, 6, -10, -1, 1, 3],\n [1, 8, 9, -2, -2, 3]]\nB =\n[[-2, 8, 3, -6, 0, 3],\n [-1, -3, 7, 6, -9, -10],\n [-1, -5, 0, -7, 0, 9],\n [-6, 10, 6, 8, 7, 3],\n [-3, 8, 6, 4, -4, 3],\n [-1, -4, 1, -5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-2, -10, -8, 9],\n [2, 4, 5, 10],\n [-10, -5, -1, 4],\n [-2, -3, 4, -3],\n [-9, -7, 9, 4]]\nB =\n[[-5, 5, 1, 6, -7],\n [4, -8, 3, -7, -3],\n [-2, -9, 9, -2, 1],\n [2, -1, -5, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -5, 1],\n [-10, -1, 10, 10],\n [0, -10, -6, 8],\n [-8, 3, -8, 7]]\nB =\n[[-3, -8, 7, -5],\n [-1, -6, 10, -5],\n [3, 1, -4, 4],\n [0, 3, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1160", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-6, 7, 1, 3],\n [8, 9, -7, 6],\n [-8, -1, 8, 5],\n [-1, 10, -10, -8]]\nB =\n[[3, 8, -1, 9, -3, -4],\n [8, -8, 4, -4, 4, -5],\n [0, -7, 0, -4, 10, -2],\n [8, 2, -2, -7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 6, -9, -4, 2, 1],\n [5, 0, -1, 0, 0, 3],\n [6, -3, -1, -1, 9, -3],\n [7, 1, 4, 1, 7, -8],\n [9, 3, -5, -3, 10, -8],\n [3, 6, 1, 3, -1, -9]]\nB =\n[[4, -1, 7, -3, 0, -4],\n [-2, -3, -6, 10, 6, -6],\n [-4, -9, 2, 5, 6, -4],\n [7, -5, 0, 2, 4, -3],\n [1, -2, 5, -4, 1, -4],\n [-2, -1, 4, -1, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, -10, -3, -1, 9],\n [1, 6, -10, 0, 3, -4],\n [7, 8, 4, -8, -1, -8],\n [9, 1, 6, 6, -6, -7]]\nB =\n[[-1, 10, -3, 3, -4],\n [-3, -1, 0, 10, 9],\n [-6, 1, 0, 6, -7],\n [2, 5, 2, 10, 3],\n [3, -9, -6, 9, -7],\n [-9, -7, 10, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1585", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -2, 1, -7, -7],\n [8, -10, -2, 7, -5],\n [-3, -3, 6, -1, -9],\n [4, -6, -10, -3, -6],\n [8, 2, 4, 8, -3]]\nB =\n[[-5, -10, 7, -8, -7, 4],\n [6, -5, -3, -3, -8, 9],\n [6, 5, -2, 10, 6, 9],\n [6, -10, 9, -7, -7, 2],\n [-4, -6, 1, 7, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-729", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, 4, -2, 3, 1],\n [-5, -1, -7, -6, 2, 3],\n [8, -10, 1, 4, 1, 9],\n [9, 8, -7, 1, 6, 1]]\nB =\n[[-1, 10, 10, -7, 4, 10],\n [9, 7, 5, -1, 1, -2],\n [-10, 2, 6, 8, -7, -10],\n [-5, 7, -1, -8, 10, 1],\n [7, 6, -1, 6, -5, 5],\n [7, -2, -3, -5, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1899", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -7, -9, 2, 8, -1],\n [-7, -3, -6, -10, -2, 2],\n [0, 1, -2, -3, -8, 8],\n [-9, 10, -8, 5, 7, -2],\n [-3, 4, 4, 6, -6, -4],\n [5, -4, -10, -8, -10, -3]]\nB =\n[[-9, -7, 1, -2, 2, 4],\n [-4, 3, -4, -6, 8, -1],\n [7, 0, -6, 3, 1, 3],\n [6, 1, -1, -5, 10, 6],\n [-10, 4, -1, 5, -9, -6],\n [1, 0, 7, -1, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -5, -7, -7, -2, -5],\n [6, 1, -3, -10, -9, -8],\n [-9, 4, 8, -8, -10, 2],\n [-10, 0, -4, 8, 7, -7],\n [8, -1, 5, 3, 10, -7]]\nB =\n[[3, -9, -7, -4, 2],\n [9, -10, -2, -7, 3],\n [9, 3, 7, 10, 2],\n [-8, 10, 4, -9, 0],\n [-8, 5, -10, -4, 10],\n [-9, -9, -4, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2307", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -10, -1, -2],\n [-5, 5, 0, 7],\n [7, -7, 8, 2],\n [-3, -10, -7, -5],\n [8, 7, -3, 7],\n [9, 7, 7, 9]]\nB =\n[[6, 3, -5, 0, 1, 3],\n [6, 5, 4, -1, 3, 4],\n [-7, 0, -10, -3, -5, -1],\n [10, 6, -2, 4, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1954", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -9, 6, 6, -3, 1],\n [-9, 0, 7, 9, 4, -3],\n [0, 2, -8, 0, -2, -8],\n [-7, -7, 5, -8, 4, -5],\n [-5, 0, 7, 0, -3, 6],\n [3, -4, 6, 9, 3, -7]]\nB =\n[[-8, -10, -1, -1],\n [0, 0, 8, -10],\n [5, 5, -1, 9],\n [3, -4, 4, 5],\n [1, -6, 4, 3],\n [1, 4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1676", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[2, -10, 1, 8],\n [-8, -9, -4, 5],\n [2, 1, 4, 1],\n [-1, -1, 7, -4],\n [1, -6, -8, -10],\n [6, -1, 4, 9]]\nB =\n[[-3, 5, -6, 2, -1, 9],\n [-3, -8, -3, -5, -5, 8],\n [-6, 4, 5, -8, 2, -5],\n [6, -9, 1, 5, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 10, 7, 5, 2],\n [6, 4, -7, -2, -6, -9],\n [0, 7, 9, 10, -5, -4],\n [8, -6, -7, 9, -6, 3],\n [-10, -6, 10, -8, 3, -4]]\nB =\n[[-7, -2, 1, -4, 8],\n [9, -1, 2, -6, 8],\n [0, -7, 3, -4, 10],\n [-2, -1, 3, -9, -8],\n [3, -1, -10, 6, 9],\n [4, -6, 4, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 6, -10, -5, -1, -5],\n [8, -3, -8, 1, -4, 6],\n [10, -4, -6, -2, -8, 5],\n [-5, 6, 10, 2, -2, 3],\n [7, 0, 8, 6, 10, 10]]\nB =\n[[3, -6, -6, -2],\n [5, 10, 7, -7],\n [-8, 8, -10, -4],\n [10, 5, 8, 9],\n [-7, -4, 5, -10],\n [10, -5, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1523", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -2, 6, 7, -7],\n [-10, -5, 5, -6, 6],\n [-1, 3, 3, 9, 3],\n [-7, -1, -1, -1, 6]]\nB =\n[[5, 7, 1, 7, -8],\n [4, -6, 1, 8, 10],\n [-2, 0, -9, -1, 0],\n [0, -9, 0, -5, -2],\n [7, 8, -4, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-489", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 7, 3, 5, 10, -5],\n [5, 10, -4, 2, -6, -9],\n [-10, -1, -2, 5, 2, -4],\n [-6, 9, -5, 0, -6, -9],\n [5, -7, -7, -5, -4, 5]]\nB =\n[[-8, -4, -9, 8, -10, -10],\n [-1, 7, 5, -2, -8, 4],\n [-4, -9, -4, -6, -4, -3],\n [2, 4, 1, -6, 0, 8],\n [-8, -2, -7, -8, -10, 10],\n [-6, -5, 4, 1, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2975", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 4, 9, 10],\n [2, 5, 1, -8],\n [-6, -6, 6, -9],\n [-10, -5, 3, 3],\n [7, 0, 10, -4]]\nB =\n[[7, 0, 4, -1, -5],\n [-8, 8, -6, 10, 10],\n [-6, -10, -7, 0, 4],\n [7, -9, -2, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1303", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[-9, -1, 10, -6, 2, 2],\n [0, 0, -3, 8, -3, 8],\n [2, 4, 9, 7, 4, 5],\n [10, -5, -2, 8, 9, -4],\n [9, 1, 7, 2, 4, 0]]\nB =\n[[-4, 0, 6, -7, -2],\n [-10, 6, 0, -1, 9],\n [8, 2, 4, -7, -2],\n [2, -5, 8, 8, 7],\n [-8, 8, -2, 5, 9],\n [10, -10, -4, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, -3, 4, 4],\n [10, -4, 0, 5],\n [-4, 3, -1, -6],\n [-5, -1, 10, -10]]\nB =\n[[-6, 8, -2, 6],\n [5, 10, -7, -8],\n [5, -1, -4, 4],\n [10, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, 0, -5, 6, -9],\n [6, 2, -8, -8, 3, 6],\n [1, -4, 7, 2, 5, 2],\n [-9, 7, 3, -6, 2, 0]]\nB =\n[[5, 5, -3, 3],\n [-1, -7, 7, 0],\n [8, 5, -7, -4],\n [-10, 3, -2, -3],\n [-1, 8, 10, 6],\n [-1, -9, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[4, 10, 5, -3, 8],\n [-8, 4, -3, 6, -1],\n [3, 0, -10, -7, -9],\n [9, 5, -3, 5, -6],\n [6, -4, 0, -7, 7]]\nB =\n[[-5, 0, -3, 7, 5, 3],\n [-2, -1, -2, 10, -2, -10],\n [0, -9, -1, -10, -9, 4],\n [6, 6, 6, 6, 1, 5],\n [8, -6, 4, -2, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -4, 7, 5],\n [4, 10, -9, -9],\n [-6, -1, -8, 9],\n [2, -10, 9, 0],\n [7, 7, 7, 2]]\nB =\n[[0, 5, -6, 9, 10],\n [5, -6, -8, -2, 2],\n [0, 7, -4, -4, 2],\n [-3, 5, -8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-5, -3, -10, 9, 6],\n [-7, 5, 4, -8, 10],\n [4, -5, -1, 0, 7],\n [-7, -3, -7, 0, -4],\n [-5, -7, -6, -1, 3],\n [-2, -5, -1, -7, -7]]\nB =\n[[-6, 7, -6, 3, 0],\n [0, -4, 1, 6, 10],\n [-5, -2, 3, 0, 3],\n [9, 9, 6, 4, 8],\n [3, -9, 6, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -4, 10, 2],\n [-10, 9, 8, 8, 4],\n [-4, -3, -4, -10, -7],\n [-8, -3, -1, -5, -8],\n [2, 5, -1, 0, 4]]\nB =\n[[-2, 6, 5, -4, 2, -1],\n [8, 8, -7, -7, -4, -4],\n [2, 6, 9, 4, 5, 7],\n [-3, 1, 0, 3, -8, -10],\n [2, -1, 10, 1, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-372", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 10, 5, -8],\n [-4, -8, -3, 1],\n [-3, 10, -4, -6],\n [8, -8, -4, 4]]\nB =\n[[-9, -2, 1, 9, -8],\n [-5, 10, -1, 7, 10],\n [8, 5, 5, 4, 1],\n [-5, -1, 5, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1325", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -10, 4, -4, 0],\n [4, 8, 2, 7, -10],\n [-4, -8, -2, -1, -6],\n [-6, 10, -5, 0, 7]]\nB =\n[[-8, 3, 7, -10, 7],\n [3, -4, 7, 3, -4],\n [10, 7, 6, -4, 1],\n [1, 8, -6, -6, -5],\n [5, -7, 0, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -4, 4, 10],\n [2, 6, 9, -5],\n [5, -1, -2, -3],\n [7, 9, 3, 1]]\nB =\n[[-5, -1, 0, -6, 2, 4],\n [7, -7, 3, -3, -3, -10],\n [-4, 3, -8, 4, -4, -4],\n [-6, 5, 8, -3, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-468", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 6, -2, -8, 2],\n [-4, 10, 4, -10, 6],\n [-4, -7, -8, 2, -9],\n [7, 5, 5, -2, 8],\n [8, 8, -10, -1, 1]]\nB =\n[[-9, 7, -6, 5, -4, 6],\n [-8, 0, -6, -8, -10, -4],\n [-6, 10, 8, 9, 6, -3],\n [8, 10, 2, -4, -6, -3],\n [-8, -3, 5, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, 6, 1],\n [3, -5, -6, 0],\n [0, 2, 6, -8],\n [-3, 7, -5, -4],\n [3, -7, 9, -2],\n [-2, 5, -2, -6]]\nB =\n[[-1, 0, 8, 8, -6, -3],\n [-2, 0, 2, -1, -4, -7],\n [6, -1, 0, -2, -7, -2],\n [3, 1, -10, -1, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1035", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -7, 1, 1, 1, 0],\n [2, 7, 2, 7, -7, 10],\n [0, 5, -9, -6, 7, 2],\n [2, 9, -8, 4, 3, 3],\n [0, -7, -7, 7, 0, 2]]\nB =\n[[-9, -1, 0, 1, -2, 1],\n [-2, 5, -5, -3, -2, 7],\n [-9, -9, 5, 7, 6, 9],\n [5, 7, -10, -5, -7, 3],\n [-3, 1, 3, 1, 1, -2],\n [-3, 9, -6, -10, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2227", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -3, 5, 9, -8, -6],\n [-1, 4, 8, -1, 7, -8],\n [-10, -2, 6, 2, 6, 2],\n [9, -4, -6, -10, 8, 9]]\nB =\n[[-10, 10, 5, -8, -8, 4],\n [10, 5, 9, 2, 6, -9],\n [10, 2, -2, -1, 7, 6],\n [-3, 9, -2, 0, 1, -5],\n [-1, 4, 3, 9, 2, -4],\n [6, 8, -4, -7, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-9, 2, -1, 4],\n [-10, 1, -3, -7],\n [2, 9, 7, 5],\n [-1, 10, 4, -9]]\nB =\n[[-7, 4, 6, 2, 8, -7],\n [-1, -9, -9, -4, 8, 10],\n [-6, 8, -4, 0, -9, -3],\n [5, 2, -10, -4, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -2, 2],\n [1, -2, -6, -4],\n [0, 6, -10, -5],\n [7, 2, -8, -2],\n [3, 4, 8, -6]]\nB =\n[[10, 5, -3, -8],\n [-7, -2, -9, 1],\n [10, -1, -1, 1],\n [2, -10, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -7, 7, -9, 2, -5],\n [-7, 8, 6, 9, 10, 3],\n [-7, -7, 1, 7, -9, 1],\n [10, 4, 10, 7, 6, -6],\n [8, 10, 7, 7, 0, 0]]\nB =\n[[-8, 8, -3, 3, -5, -7],\n [-1, -8, -3, 8, 8, -4],\n [-7, 8, 3, -8, -3, 9],\n [0, -7, -7, 7, 10, 3],\n [-7, 1, -6, -8, -10, 6],\n [4, -1, -5, 7, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-8, 6, 3, 0, -4],\n [-5, 4, -6, 2, -10],\n [-3, 0, -10, -5, 2],\n [-5, -4, -8, -7, -5],\n [5, 0, -2, 9, -9]]\nB =\n[[-10, -8, 6, -10, 8, 6],\n [-8, -4, 2, 10, 10, 1],\n [-5, 7, -2, 10, 8, -7],\n [-10, -4, 4, 5, 7, -9],\n [-5, 7, -10, -9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[1, -8, 6, 6],\n [1, 6, -3, -10],\n [2, 3, -4, 0],\n [1, 0, -6, -7]]\nB =\n[[-4, 8, 6, -9, -3, -2],\n [-6, -3, -9, -2, 0, -3],\n [2, 10, 0, -5, 5, 7],\n [-7, 10, -6, -4, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[1, 6, -4, -3, 3],\n [-10, -3, -8, 0, 2],\n [-8, -2, 9, -3, -9],\n [3, -10, -2, 8, 5],\n [4, -4, -10, 5, -5],\n [-6, 4, 3, 9, -6]]\nB =\n[[-10, 7, -8, 8, -2, -5],\n [-9, -3, 10, -8, 0, 5],\n [2, 7, 2, 1, 0, -5],\n [-5, 2, 6, -8, 10, -1],\n [-6, 9, 8, -3, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, -8, -6, 8, -9],\n [-9, 5, 8, -9, -10],\n [-10, -10, 4, -2, -9],\n [-1, -10, -4, -1, 1],\n [-4, 9, 8, -4, 2],\n [0, 5, -9, 2, 1]]\nB =\n[[-8, 1, -5, 4, 3, 6],\n [-5, 7, 0, 10, 9, 5],\n [0, -6, 6, 2, 10, 1],\n [6, 6, 8, 10, -5, -1],\n [-9, -5, 0, -2, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 3, -2, -10, 2],\n [-8, -8, -2, 9, -8],\n [-6, -9, -4, 4, 7],\n [-7, 0, -2, -10, 6],\n [10, -7, -9, 2, 1]]\nB =\n[[5, -8, -2, 8, -7],\n [-2, 5, -4, 4, -6],\n [8, -5, 2, 7, -8],\n [6, 6, -1, 0, 1],\n [3, 0, -1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, 10, -9, 6, 2],\n [-6, -5, -7, -10, 1],\n [-8, 2, -3, -2, 3],\n [-4, -8, 8, 2, 6],\n [5, 9, 8, 9, 4],\n [-9, 4, 3, -9, -3]]\nB =\n[[9, 10, -4, -2, 4, 1],\n [1, -4, 3, 0, 0, 7],\n [-3, 9, 0, 8, -10, -1],\n [-6, 3, -9, -4, -9, 10],\n [-5, 4, -10, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-268", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-6, 3, 10, 6],\n [-1, 4, -7, 3],\n [3, 8, 1, -3],\n [-9, 7, 4, 5],\n [-4, 3, 3, 2]]\nB =\n[[4, -2, -6, -2, -3],\n [3, -6, 8, 9, -4],\n [-2, 0, 10, -1, 0],\n [-6, 10, 7, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 10, -8, -4, -6, -6],\n [-3, -5, 2, -6, -10, 6],\n [-5, 9, -7, 6, -7, -6],\n [-10, -9, -10, 4, 6, 5]]\nB =\n[[5, -6, 3, -1],\n [5, 0, -3, -6],\n [-4, 4, -3, -10],\n [8, 2, -2, -6],\n [1, -4, 6, -9],\n [8, 3, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 1, -8, 3, -5, 4],\n [3, 10, -9, 10, 3, 7],\n [4, -8, -5, -3, 3, -1],\n [1, 7, -9, -4, 2, 1],\n [5, -7, 7, 2, -1, -2]]\nB =\n[[5, 10, 7, -3, -5],\n [2, -2, 10, -8, 5],\n [6, 5, 5, 5, 5],\n [9, -10, 7, 6, -9],\n [1, -3, 2, -9, 3],\n [-5, -9, 10, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-9, 1, -3, 6, 6, -5],\n [2, 0, 9, -9, -4, 2],\n [1, -6, -8, 4, -8, -2],\n [10, -10, 0, 10, -5, -7],\n [-10, -5, -7, -10, -7, 3]]\nB =\n[[-5, -7, -2, 7],\n [-8, -4, 1, -4],\n [-2, -10, -9, 9],\n [1, -7, -2, 4],\n [10, 0, 8, 0],\n [7, -5, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, 4, -3],\n [7, 1, -5, 3],\n [-10, -5, -9, 0],\n [-2, 8, -1, 1],\n [-2, 3, -7, -1],\n [-3, -2, 2, 6]]\nB =\n[[-10, 4, 10, 0, -9],\n [-2, -2, -2, -3, -8],\n [4, -7, 5, -9, 5],\n [3, -5, -9, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 8, -9, -5, -8],\n [-7, 3, -4, -7, 7],\n [9, 2, 6, 3, 8],\n [10, 5, 8, 10, -1]]\nB =\n[[-7, -2, 2, 10],\n [-2, -2, 5, 3],\n [1, 9, 4, -5],\n [-1, 7, 2, -9],\n [-8, 9, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1200", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[7, 8, 7, -3, 4],\n [-9, 9, 10, 1, 10],\n [-10, 6, 7, -6, 8],\n [10, 1, -7, 0, 5],\n [3, 1, 10, 5, -5]]\nB =\n[[7, 1, -1, -1, 0, -8],\n [-4, 7, 9, 2, 8, -10],\n [-3, -1, 6, 6, -5, -10],\n [9, 1, -8, -2, 3, -5],\n [1, 6, 1, -2, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 0, 10, 5, 9],\n [-10, 9, -9, 8, -2],\n [2, 10, -4, -4, 5],\n [3, 3, 4, -7, -10]]\nB =\n[[-10, -5, -4, 4, -4],\n [3, 0, 9, -5, 4],\n [-9, 0, -1, -1, -10],\n [-10, -9, 2, -1, 1],\n [-10, 2, -9, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1397", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -5, -5],\n [-5, 6, 6, -3],\n [10, -1, -4, 10],\n [2, 2, 2, -7],\n [2, -5, 10, -1],\n [4, 6, -9, -2]]\nB =\n[[1, 2, 10, -9, 9],\n [-10, -7, 0, -8, 7],\n [10, -10, 6, 7, 0],\n [-2, 3, -8, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[10, 4, 1, 2, 6],\n [0, -1, -2, 0, -6],\n [-1, -7, -2, 5, -5],\n [-1, -8, -8, -9, 7]]\nB =\n[[-8, 1, 8, -5],\n [4, 5, 3, 7],\n [1, -3, 9, -1],\n [-1, 5, -2, 4],\n [1, 9, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 7, 9, 2, -6],\n [-1, -5, -8, -9, -6],\n [7, 2, -10, -6, -8],\n [-4, -5, 0, -9, -3],\n [6, 5, -4, -5, -3]]\nB =\n[[5, 1, -5, -4, 6, -10],\n [-7, -4, 0, 8, -6, 3],\n [5, -4, 10, 6, -1, -10],\n [-5, 7, 10, 4, 4, 4],\n [-6, -6, 7, -7, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-759", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 5, 3, 5, -5, 7],\n [-8, 9, -10, -7, -10, -2],\n [0, 9, 3, 7, 9, -4],\n [3, -5, 6, 9, -10, 3]]\nB =\n[[-2, 10, -4, 10, -5],\n [5, 2, -10, 0, -4],\n [-1, 6, -10, 7, 10],\n [-7, 4, 3, 1, -10],\n [-2, -1, 9, 5, -5],\n [-9, 0, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[-6, 10, -7, -6, 7],\n [-8, 7, -6, -9, -1],\n [-8, -4, 10, 10, -4],\n [-3, 9, -1, -9, -9],\n [-5, 4, 4, -3, 5]]\nB =\n[[-6, 1, -2, -10, 10],\n [4, 0, -5, 5, -8],\n [-2, 7, -6, 1, -6],\n [-2, 10, -4, -4, -5],\n [0, -1, -4, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, -10, 2, -4],\n [-1, -10, 2, 10, -6],\n [4, 5, -4, 8, 0],\n [1, -8, 10, 4, 3],\n [7, 7, -6, -8, -2],\n [5, -9, 2, -3, 10]]\nB =\n[[9, 0, 5, -2, 2],\n [-7, -4, 0, 1, 0],\n [3, 7, -10, 2, 7],\n [-10, 5, -1, -4, 0],\n [4, 6, 9, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1915", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -8, -2, -2, -5, -1],\n [5, 5, 3, 10, -1, 0],\n [-3, -5, -8, 0, 4, -10],\n [-4, -1, 1, 9, -3, 1],\n [5, -7, 3, -5, -4, 5]]\nB =\n[[-8, 9, -1, 2, -4, 9],\n [-3, -5, -8, -4, -7, -9],\n [10, -5, 4, 6, 0, -4],\n [-6, -2, -5, 6, 4, 2],\n [-3, -10, 6, -1, 6, 7],\n [-3, -5, -5, 1, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "534", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, 3, 2],\n [-3, -1, 5, -10],\n [-7, 9, -1, 0],\n [1, -3, -4, 4]]\nB =\n[[3, 6, -9, -5],\n [3, 6, 10, -6],\n [-3, 4, 2, 5],\n [6, 6, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 4, 2, 10],\n [-9, -2, 2, -8],\n [7, 5, -8, 8],\n [4, 7, -4, 0],\n [-7, 7, 0, 6],\n [10, -8, -3, -7]]\nB =\n[[-2, 3, 2, -3],\n [9, -9, 4, -3],\n [3, -1, 3, -4],\n [8, -10, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-4, -4, -10, 7, -8],\n [-2, 8, -9, -10, 2],\n [9, -6, 5, 4, -3],\n [8, -3, 8, 0, 3],\n [6, 9, -5, -2, -5],\n [-7, -8, -3, 7, -4]]\nB =\n[[-7, 4, -10, 3],\n [8, 4, 1, -2],\n [1, -8, -1, -1],\n [-5, -9, -8, -4],\n [6, 2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -6, 8, 6, -8],\n [-9, 4, -3, -7, -6],\n [1, 10, 10, -3, -10],\n [7, 8, -4, 4, -9],\n [-7, 3, 6, -1, -3],\n [5, -6, 3, -7, -8]]\nB =\n[[-6, 4, 3, 10],\n [-10, -10, -4, 10],\n [-6, -7, -9, 8],\n [-2, 10, 9, -7],\n [5, -7, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-971", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, 8, 2, -5, -2],\n [2, -9, 9, 6, 2],\n [-9, 7, -1, 0, 2],\n [-9, 9, -8, 9, 5],\n [6, 7, -5, 0, -10]]\nB =\n[[-3, -2, 10, -6, 5],\n [-4, -5, -3, 2, 7],\n [-5, 4, 4, 2, 8],\n [-5, 5, -5, 8, -6],\n [10, -3, 4, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -2, 9, 0],\n [9, 2, -7, -5],\n [-7, 4, -4, 10],\n [10, 5, -2, -2],\n [9, 6, -3, -7]]\nB =\n[[-5, 8, 2, -3, 9, -5],\n [3, -10, -4, -4, 3, 7],\n [9, 4, 3, -7, 10, 8],\n [-10, -3, 7, 5, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1632", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -7, 1, -6, -8, 10],\n [7, -4, 8, 3, 7, -7],\n [9, -2, -3, 4, 5, -1],\n [-4, -7, 9, 1, -10, -2]]\nB =\n[[-8, 1, -9, -10, -2, 10],\n [-9, -2, 6, 10, 6, 10],\n [6, -9, -4, 1, 10, 0],\n [4, -10, -8, 2, -10, -4],\n [7, 9, 1, 5, 10, 8],\n [4, 3, 2, 10, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-886", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, -10, 2, 8, 1],\n [3, 3, -2, 9, 5, 6],\n [-9, 1, 10, -2, 7, -2],\n [-1, -10, 0, -5, -4, 7],\n [-6, 5, -5, -8, -3, 5],\n [8, 3, 1, 4, -3, -9]]\nB =\n[[-5, -3, 3, -7],\n [-1, 0, 10, 4],\n [10, -2, -3, 4],\n [-8, -3, -10, -1],\n [2, 10, 6, -10],\n [1, 7, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, -3, 0, 10],\n [-10, 2, 2, 7, 4],\n [5, 3, -5, -2, -9],\n [3, 2, 9, -2, 8],\n [9, -4, 6, -8, -8]]\nB =\n[[-5, -5, 2, 2],\n [7, 3, -8, -1],\n [-1, 3, 5, 3],\n [-8, -9, -3, 1],\n [8, -1, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[10, -7, -2, -6, 6],\n [-2, -5, -4, 5, -6],\n [10, -6, -6, 7, -10],\n [4, 9, 0, -6, 7],\n [10, 7, 10, -5, -10],\n [6, -3, -5, -1, -8]]\nB =\n[[-3, -4, -4, 9, 6],\n [-6, 6, 5, 10, 0],\n [1, 6, 8, -4, 4],\n [-6, -8, 1, 6, 8],\n [8, -9, -9, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 6, 8],\n [6, 0, 6, 0],\n [-9, 9, -3, 10],\n [-3, -5, -6, -5],\n [8, -8, -8, -9],\n [1, -8, -7, -10]]\nB =\n[[-1, -7, -8, 1, 10],\n [2, 0, -9, -5, -6],\n [-2, -2, -5, -1, 0],\n [7, 8, 7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[4, 3, -3, -9, -8, -3],\n [3, 6, -2, -7, -9, -5],\n [1, -2, -2, -5, 10, 0],\n [8, -9, -3, 9, 0, 6],\n [-5, 2, 10, -8, 8, 9]]\nB =\n[[5, 4, 8, -1],\n [-5, -5, -3, -3],\n [4, -7, -9, -6],\n [9, -2, 6, 1],\n [5, 6, -6, 6],\n [8, -3, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 0, -3, -10, -4],\n [-4, -9, -3, -4, -5, -8],\n [9, -5, 0, 6, 8, 10],\n [-2, 3, 1, 9, 2, 4],\n [-4, 0, 2, 1, -2, -1],\n [-3, -3, -1, -6, -7, -6]]\nB =\n[[9, -5, -1, -7, -2, -8],\n [-10, 0, -9, 9, 10, -8],\n [-7, -2, 5, 2, 9, -7],\n [8, -1, -7, -6, -8, -7],\n [-9, -5, 7, -5, -2, 6],\n [-1, 1, -6, 2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 3, -7, 7, -7, -9],\n [10, 8, -1, -1, 5, 8],\n [4, 7, -5, 9, 6, 3],\n [-9, 6, -3, -5, 1, -8],\n [-8, 4, 4, 2, 4, -7]]\nB =\n[[2, -3, -6, -2, -2, 1],\n [1, -2, 5, 0, -7, -2],\n [-4, 5, -1, 3, -8, -6],\n [7, 10, -3, 1, 9, 2],\n [0, -6, 10, 8, -5, -6],\n [10, 3, -6, 1, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 3, 3, 8],\n [-4, 4, -3, 7, -5],\n [5, -5, -1, 4, 10],\n [-2, -7, -6, 3, -7],\n [-4, -6, -2, -10, 7]]\nB =\n[[-10, 0, 0, 4, 7, -6],\n [4, -6, -9, -9, 10, -3],\n [7, -8, -3, 3, 9, 3],\n [10, 6, 10, -4, -5, 1],\n [4, 10, 9, 3, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1840", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 6, 1, 1, 9],\n [4, -8, 7, 3, 8],\n [-10, 10, -2, 8, -3],\n [6, 7, 4, 3, 4],\n [-8, -7, -10, 9, 1]]\nB =\n[[-6, -7, 6, 4, 5, 9],\n [-6, -2, -5, 6, 2, -5],\n [-3, -3, 10, -3, -7, 2],\n [6, 3, -10, 2, 10, 10],\n [8, 1, 9, 9, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, -5, -7, 5, -4],\n [-10, 4, 9, -10, -3, -8],\n [1, -5, -10, 10, 6, 7],\n [1, 6, -6, -3, 5, 9],\n [0, 4, -10, -3, 6, 10],\n [-6, -7, 3, -3, -3, 8]]\nB =\n[[-7, 7, 1, -10, -8, -5],\n [-1, -1, 2, -9, 10, -5],\n [-6, -5, -10, 5, -9, 4],\n [8, 9, 1, -3, -9, -4],\n [0, 2, -4, -9, -7, -3],\n [-8, 0, 4, 9, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "791", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[6, -10, -1, -9, -5, -10],\n [10, -2, -8, 7, -2, 10],\n [-6, -4, -1, -2, -2, 2],\n [0, 1, 7, 8, 7, 7],\n [-3, -2, 4, -5, 4, 3]]\nB =\n[[-7, 7, -4, -7],\n [9, 3, -6, 5],\n [0, -6, 5, -8],\n [2, 3, 6, 0],\n [-5, 9, 4, -1],\n [10, 6, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, 4, 5, -9, 5],\n [9, 0, 3, -6, 7, 9],\n [-7, -4, -7, -3, -7, 5],\n [-6, 4, -9, -5, 0, 2]]\nB =\n[[9, 0, -5, -6, -1, 8],\n [-10, -6, 7, 9, -3, -1],\n [5, -5, -3, -9, -4, -10],\n [0, -10, -3, 9, 5, -4],\n [1, 2, 7, -9, 0, -8],\n [-6, 5, 4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1740", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 4, 6, 0],\n [-8, 3, -4, -9],\n [0, 2, 5, -4],\n [-3, 1, -5, -2]]\nB =\n[[-1, -6, 0, 2, -7, -1],\n [-2, 1, -8, 3, 8, 5],\n [5, -8, 0, -1, 3, -2],\n [-9, -5, 6, -7, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "871", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -7, -2, -8],\n [-3, -7, -9, 5],\n [9, 9, 7, 4],\n [-7, -9, 0, 8],\n [2, -5, 6, -9],\n [-8, 0, 2, -8]]\nB =\n[[-2, 3, 6, 10, 8],\n [8, 7, -2, -1, 6],\n [-6, 8, 0, -10, 0],\n [4, -2, -6, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 6, 8, 0, -2],\n [1, 4, -3, -1, 4],\n [4, -9, -9, 3, 7],\n [10, -4, 9, -6, 5],\n [3, -9, 10, -2, 3],\n [2, -7, -4, 0, 4]]\nB =\n[[7, 9, -8, 0, -6],\n [3, -9, 6, 7, -9],\n [-5, 4, 3, 3, 10],\n [-5, 7, 7, -10, -8],\n [10, 10, 10, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1175", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 7, 4, -1, -1],\n [-4, -4, -5, -9, 0],\n [-10, -5, -6, 2, -7],\n [3, -1, 8, 5, -10],\n [-1, -1, 8, -9, 7],\n [-10, 9, 10, 4, -3]]\nB =\n[[-4, 8, -2, -4],\n [1, 9, 3, -7],\n [5, 5, 4, 9],\n [2, -4, 0, 4],\n [3, 8, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1379", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[2, 9, -7, 2, 3],\n [10, 5, 9, 8, 8],\n [5, -9, -1, -3, -9],\n [2, -7, 3, 3, 5],\n [0, -4, 6, -2, -9]]\nB =\n[[5, -8, -9, 3, 6, 1],\n [8, 8, -1, 7, 6, -5],\n [1, -8, 9, 8, -2, -8],\n [-1, 6, -9, 10, 1, 2],\n [-3, -1, 5, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 3, -7, -5],\n [-10, 10, 7, 1],\n [5, -9, -5, 1],\n [-10, 1, 3, -3]]\nB =\n[[-4, -5, -9, -1, -8, -6],\n [-7, -8, -9, -2, -7, 9],\n [3, -3, -7, 3, 7, -3],\n [10, -10, -5, -4, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-8, 8, -10, 1, 10],\n [-3, 10, 1, 6, 2],\n [9, -6, 9, -2, -3],\n [-1, 6, -9, -9, 8]]\nB =\n[[1, -4, 4, -5, 4, 2],\n [-4, 3, -2, 9, -8, -8],\n [8, -4, 3, -10, 10, 10],\n [-7, 0, -2, 4, 2, 1],\n [-4, 4, -3, -7, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 9, 3, 5, 10],\n [-3, 1, 9, 2, -2],\n [9, 6, 5, -5, -8],\n [1, 4, -4, -5, -9],\n [-9, 10, -9, -1, 2]]\nB =\n[[-10, -9, 9, 6, 8],\n [2, -10, -4, -9, -9],\n [5, 4, -5, -2, 5],\n [5, 2, 2, 10, 1],\n [1, 5, 10, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1076", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -9, -9],\n [-8, -7, -7, -2],\n [3, -2, 10, -9],\n [4, 9, 7, -10],\n [-2, -3, 1, 5]]\nB =\n[[-4, 4, 7, -3, 4],\n [10, 10, -8, -8, 5],\n [7, 2, 2, 7, -2],\n [0, -5, -5, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1661", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 4, -2, 0, 10],\n [-5, 5, 8, -5, 2],\n [-7, -9, -10, 4, 3],\n [-5, 5, 0, 0, -7],\n [2, -9, 3, 5, -5]]\nB =\n[[-10, -6, -6, 5, 2],\n [-8, 0, -6, 2, -7],\n [-6, 6, 2, -5, -2],\n [3, -5, 6, 2, 3],\n [-5, 6, 5, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, 4, -3, -8, -2],\n [-7, 0, -4, 10, -9, 6],\n [1, -3, 5, 0, 0, 4],\n [2, 4, -9, -4, 4, 5],\n [-7, -1, -5, -8, -6, 3]]\nB =\n[[-3, 8, 4, -9, 10],\n [3, -5, -1, 1, 1],\n [-6, -6, -10, -8, 9],\n [5, -8, 0, 6, 1],\n [-10, 3, -3, -5, 1],\n [-5, 6, 8, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-9, 0, 1, 9, -8, 6],\n [-10, 6, 4, 4, 9, -10],\n [-4, 0, -1, -5, 1, -9],\n [5, -2, 6, -5, 9, 10],\n [0, 10, 2, 0, -5, -4],\n [8, -5, 1, 1, 8, -3]]\nB =\n[[10, -10, -6, 5, -4],\n [-4, -2, 9, -5, -7],\n [-6, 2, -5, 7, 6],\n [-2, 2, 10, -10, 5],\n [-6, -8, 8, 4, -4],\n [5, -4, -3, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, -1, -10, -6],\n [6, 1, -1, -9, -9],\n [-5, -6, 0, 4, 7],\n [6, 10, 10, -6, 7],\n [-10, 8, 0, 9, -5],\n [1, 1, -3, 2, -9]]\nB =\n[[9, 6, -3, -8, -3, 7],\n [-5, 2, 3, 5, 10, -4],\n [4, 4, 6, 5, 0, 1],\n [1, 6, 2, -2, 7, -1],\n [-1, -4, 5, -2, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, 5, -10, -1],\n [8, -2, -2, -7],\n [7, 10, 1, 7],\n [-10, -5, 8, -6],\n [-6, -2, -10, -8]]\nB =\n[[0, 1, 9, 6],\n [-2, 0, 5, -3],\n [8, -10, 10, 3],\n [-1, -3, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -8, 9, 1],\n [-7, 4, 9, 5],\n [5, 5, -4, -9],\n [5, 7, 1, -9]]\nB =\n[[1, -10, 3, 0, 1, 4],\n [-8, 5, 9, 6, -9, -6],\n [-9, 3, -5, 6, -10, -7],\n [1, -4, -6, 4, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-1, 1, -3, 4, -2],\n [7, 2, -4, -5, 1],\n [-2, 2, 5, 1, 1],\n [-7, -5, -6, 8, 5]]\nB =\n[[0, -8, -8, 8, 1],\n [2, 7, -4, -2, -10],\n [8, 2, -2, -7, 3],\n [7, -9, -6, 1, -1],\n [-1, -6, 10, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 5, 0, -10],\n [-9, 7, -1, 10],\n [-7, -7, -4, -8],\n [3, -9, -9, -4]]\nB =\n[[-9, -2, 0, -2],\n [1, 9, 5, 2],\n [-4, -1, -6, -9],\n [9, 1, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1079", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 4, 3, 7, -4],\n [9, -2, -7, 5, -2],\n [4, 1, -6, -10, 3],\n [4, 7, -5, -1, -8],\n [-10, -10, 0, 3, -4],\n [-1, 0, 4, 0, 7]]\nB =\n[[-3, 6, 10, 0, 9],\n [1, 8, -9, 4, -8],\n [2, -7, 0, 2, 5],\n [6, -5, 5, -9, 3],\n [-4, 5, 4, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[2, 0, -8, -3, -4],\n [4, 9, -4, -3, -4],\n [-3, -10, 0, 10, 3],\n [-6, 9, 4, -5, -5],\n [2, -1, 10, 5, 0]]\nB =\n[[5, -1, 2, 0, -8],\n [-7, -10, -8, -2, -9],\n [2, 9, 4, -3, -6],\n [-10, 1, -1, -7, 3],\n [-7, 7, 5, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[7, -6, -5, 6],\n [0, -3, -3, 7],\n [9, 9, -3, 8],\n [9, -2, 10, 9]]\nB =\n[[5, 7, -6, 3, -5, 6],\n [-8, 6, 6, -1, 6, -6],\n [9, 4, -10, -2, 5, 2],\n [-6, 6, 6, 7, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[3, -6, 5, -7],\n [5, -1, -10, -10],\n [-5, 10, -1, 6],\n [1, -1, 3, -5]]\nB =\n[[-10, 1, 4, -10],\n [-8, -6, -6, 8],\n [-1, 7, 0, 0],\n [2, -9, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, 6, -2, -1],\n [2, 6, -7, -8, -8],\n [6, -3, 7, 2, -2],\n [10, 5, -3, 3, 6]]\nB =\n[[3, 7, 9, -9],\n [7, 9, -10, 8],\n [-2, 4, -3, -4],\n [4, -6, 8, -10],\n [10, -2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 7, -10, 7, 9, 3],\n [-6, -1, 4, 4, 9, -6],\n [-1, 4, -5, 2, 8, -6],\n [7, -3, -10, -7, -6, 6],\n [2, -10, 10, 6, -1, 1],\n [3, 8, -10, 5, -3, -1]]\nB =\n[[-7, 9, -6, 2, 3, 2],\n [-2, 0, 7, 10, 4, 5],\n [9, 9, 0, -8, 1, 6],\n [-8, -6, 7, 7, -3, -8],\n [5, -8, -5, 1, 5, -7],\n [-5, 0, -3, 4, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-505", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -2, -10, 3],\n [-10, -4, 0, 6],\n [-4, 9, 1, -1],\n [6, 2, 9, -1],\n [7, -7, 3, -8]]\nB =\n[[10, 4, 7, 6, 2],\n [8, 7, -5, 4, -2],\n [9, 7, 5, 8, 6],\n [0, -2, -6, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, 4, 7, 4],\n [-4, 4, 5, -5],\n [-2, 4, 8, 4],\n [-7, 10, -3, 10]]\nB =\n[[3, 0, -9, -1],\n [0, 5, -10, 5],\n [-7, -8, 5, -8],\n [1, -7, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 6) of the product of the following matrices:\nA =\n[[9, 0, -3, -1, 2, -7],\n [-5, -7, -10, 3, -3, -5],\n [10, -1, 6, 9, -10, -4],\n [-1, -1, -6, -4, -7, -6],\n [-5, -2, 6, 1, -10, 6],\n [4, -8, 5, -2, 4, -8]]\nB =\n[[8, 1, 1, -4, 4, 4],\n [-2, 5, -10, 5, 3, -10],\n [-7, 5, 3, -6, 0, 6],\n [-7, 9, -9, -2, -10, 2],\n [5, 2, -6, 5, -10, 3],\n [-7, -9, -8, -2, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -7, -7, -5, -2, -7],\n [3, 2, -10, -5, 10, -2],\n [-1, 4, -6, 1, -1, 2],\n [9, 6, -6, -6, -6, -2]]\nB =\n[[-7, 3, -4, 6],\n [-3, 8, -4, -8],\n [-1, 3, 9, -2],\n [2, 0, 8, -9],\n [5, -9, 2, -2],\n [10, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, -4, 3, 0, 5],\n [-10, -1, 9, 10, -3, 5],\n [5, -4, -7, -9, -1, -9],\n [9, -2, -7, -9, -2, 7]]\nB =\n[[1, -3, -9, 8, 6],\n [7, 6, -6, 4, 2],\n [7, 8, 5, -7, 5],\n [5, -6, 0, -5, 3],\n [3, 7, 3, 0, 6],\n [8, 7, 10, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1593", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 3, 9, -8, 5],\n [-4, -10, -4, 7, 7],\n [1, -9, -5, 6, 10],\n [3, -6, -9, -4, -9],\n [-8, 0, -3, 10, 4]]\nB =\n[[2, -1, -1, -7, -2, 0],\n [-2, 7, -1, 1, -9, 0],\n [-1, -9, -6, 10, 9, 6],\n [-1, 4, 3, -8, -8, -10],\n [-7, -7, 5, 6, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-454", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -10, -2, -10],\n [8, -5, 2, -8, 3],\n [10, -4, 4, 9, 3],\n [10, -10, 6, 5, -6]]\nB =\n[[-8, 7, -7, -8],\n [-2, 1, -7, 6],\n [-8, -5, 4, -8],\n [-2, -5, 7, -10],\n [1, -5, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -6, -2, 8, -1, -1],\n [-3, -5, -10, 1, -2, -4],\n [-4, -9, 6, 1, -9, 4],\n [2, -8, 4, -9, -7, 4],\n [0, 8, 5, -2, 8, -8],\n [-1, -5, 0, 5, -10, -7]]\nB =\n[[8, -5, -4, 8],\n [3, 4, -5, 3],\n [2, 10, -2, -1],\n [8, -4, -5, 5],\n [10, -1, 7, 5],\n [4, 6, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 5, -8, -8, -6, -4],\n [10, -5, -5, 1, 9, 2],\n [-8, -5, -2, -9, -7, 3],\n [-8, 2, -5, -4, 10, 5],\n [-2, 9, 10, -6, -1, -9],\n [7, 0, 1, 5, 4, -10]]\nB =\n[[5, 4, 5, -5, 2],\n [-10, -4, 10, 5, -10],\n [6, 6, -1, -4, 6],\n [-6, 4, 5, -1, 8],\n [-2, -3, -5, 1, -3],\n [1, 7, 3, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1616", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, 6, 8, -1, -5, 8],\n [8, -10, -1, -8, 8, -8],\n [-3, 3, -6, -6, -2, -9],\n [4, -2, -8, -3, -2, 8],\n [3, 1, -1, 4, -8, 7]]\nB =\n[[2, 2, -9, 9, -6],\n [5, 9, -10, -9, 10],\n [4, 1, 3, -5, -9],\n [-2, -2, 2, -9, -3],\n [-7, 5, 10, -8, -5],\n [8, 0, 9, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -6, 4, -8],\n [-9, 8, -6, 9],\n [-3, 9, -5, -3],\n [-7, 8, 1, -3],\n [5, 3, 10, 10]]\nB =\n[[4, 6, 1, 5, -3],\n [9, -9, 1, 10, 10],\n [-1, -6, -9, 9, 1],\n [3, -5, 2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1988", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -10, -1, 8],\n [-6, 6, 9, -7],\n [9, 4, -3, -6],\n [4, 0, 5, -9],\n [1, -2, 9, -7],\n [-2, 2, 7, 3]]\nB =\n[[5, -6, -7, 6, 3],\n [-6, -3, -8, -2, 2],\n [2, 7, 3, 6, -8],\n [-1, 4, 10, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 7, 5, 9],\n [5, 8, -9, 5],\n [6, 5, -2, -5],\n [-1, 2, 0, 2],\n [9, 10, -7, -6],\n [-7, 8, -8, -6]]\nB =\n[[6, -3, -5, 8, 3, 4],\n [-6, 1, -9, -5, -10, 6],\n [3, -2, 4, -4, 8, 4],\n [-6, -5, -4, 1, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 8, 8, -8, -6, -1],\n [10, -5, -8, -6, -2, 4],\n [5, -10, 0, 1, -3, 6],\n [-4, 4, -10, -3, 10, -6],\n [6, 2, -1, 6, 5, -8]]\nB =\n[[1, -6, 7, -10, 9],\n [-8, -10, -6, 5, -9],\n [4, 3, 8, 9, -5],\n [1, -1, 4, 7, -4],\n [-9, -10, -9, -4, -7],\n [8, -4, -2, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -6, -9, -7],\n [10, 6, -4, -4],\n [-2, -9, -9, -1],\n [-1, 6, 6, -6],\n [7, 7, 1, 2]]\nB =\n[[10, 10, 9, -10, 7],\n [-3, -6, -5, 5, 1],\n [-8, 9, -1, 6, 6],\n [-6, -8, 10, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -6, -8, 8, -5],\n [10, 3, -2, -4, 0],\n [-4, -6, 3, -3, 10],\n [8, -5, -4, -2, -2],\n [8, 10, -3, 9, -8],\n [-2, 8, -3, -8, -2]]\nB =\n[[-7, 3, 7, -6, 9],\n [-3, 3, 4, 1, -4],\n [7, 0, 5, -7, 10],\n [6, 4, 0, 10, 8],\n [-7, 6, -7, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 7, 0, 9, -5],\n [1, 0, 9, -3, -2],\n [1, -1, -9, 8, 2],\n [0, 4, -9, -2, -10],\n [-7, 8, -9, -10, -7]]\nB =\n[[-5, -7, 0, -8, -5],\n [-3, 9, -1, 10, -8],\n [8, 1, -6, 8, -6],\n [5, 7, 5, -10, 4],\n [3, -2, -4, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-10, 2, -1, 9],\n [-3, 3, 5, -4],\n [6, 2, -7, 7],\n [0, -10, 0, -4],\n [-7, -7, -7, 8],\n [-5, 4, -7, -10]]\nB =\n[[2, 9, -1, 1],\n [10, -4, -4, 10],\n [-8, -4, 6, -9],\n [9, -7, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[7, 8, -7, 0, -6, 9],\n [-7, 8, 2, 6, -4, 9],\n [0, 7, 10, -6, 5, -8],\n [-2, 6, 5, 4, 9, -10]]\nB =\n[[7, -10, 0, -10],\n [2, 0, -9, 8],\n [2, -1, -2, 3],\n [-6, -10, 8, 3],\n [-10, -10, 3, -3],\n [10, 2, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -7, -1, 7],\n [-7, 0, 9, -7, -4],\n [9, 10, -3, 4, 2],\n [4, 5, -8, -7, -2]]\nB =\n[[-1, 3, -7, -8],\n [9, -2, -1, -5],\n [10, -2, -3, -1],\n [10, -2, 9, 2],\n [3, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 8, 1, 1, 7],\n [-2, 2, 10, -9, 10],\n [-8, -7, -4, 1, 7],\n [2, -6, -4, 3, -3],\n [8, 0, 3, 5, 8],\n [-6, -2, 8, -2, 8]]\nB =\n[[1, -7, -8, 3, -3, 9],\n [9, -4, 4, 7, -8, 4],\n [10, 4, 3, 8, -8, 8],\n [10, -1, -10, 5, 0, 1],\n [-5, -1, 7, 1, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 0, 5, -6, -7],\n [-7, 1, 8, 1, 6],\n [-8, -4, 10, -8, -2],\n [-4, -3, 1, 7, 9],\n [8, 8, 1, -7, -3]]\nB =\n[[-6, -3, 7, 10],\n [1, -1, -4, -3],\n [0, -4, 5, -1],\n [0, -4, -5, 6],\n [1, 7, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -9, 5, 3, -7, -10],\n [7, -6, 8, -10, 9, -2],\n [8, 3, -4, -4, 6, 1],\n [-6, 5, -2, 1, 1, 0]]\nB =\n[[-3, -2, 5, -3, -10, 2],\n [0, 9, -1, 5, -5, -10],\n [7, 9, 0, -6, -10, 0],\n [2, 0, -9, 3, 7, -6],\n [-1, -2, 9, 10, -8, -5],\n [-5, -10, 10, -5, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -7, 1, 6, -10, 7],\n [-10, 10, -8, 0, -6, -3],\n [-4, -3, -5, -1, 10, -2],\n [-1, -6, -8, -1, 7, 8]]\nB =\n[[-9, 10, -7, -6, 5, -6],\n [2, 0, -6, 5, 10, 6],\n [-8, 4, 0, -5, 0, -9],\n [0, -10, 5, 2, -8, -3],\n [-10, -8, 1, -9, 9, -10],\n [2, 2, -2, 7, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1716", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-6, 9, -1, -10, 7, -10],\n [-7, 4, -8, 10, -9, -8],\n [-1, 0, -8, 7, 10, -2],\n [6, 8, 1, -8, -7, -2],\n [-4, 6, 7, 1, -7, 6]]\nB =\n[[5, -8, -9, -9],\n [6, -9, 7, 0],\n [-5, -9, 9, 5],\n [-9, 8, -2, -9],\n [-6, -10, -9, -5],\n [-5, 7, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 10, -2],\n [4, -1, 3, 0],\n [1, -7, 9, 10],\n [-3, -1, -7, 4],\n [-4, -1, -9, -10]]\nB =\n[[-9, 6, 6, 3],\n [5, -6, -9, 10],\n [4, -4, 2, -4],\n [3, -7, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "738", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-3, -9, 5, -2],\n [-5, 6, -7, 8],\n [1, -1, 0, 6],\n [6, 10, 6, 5],\n [-9, -3, 3, -10]]\nB =\n[[-1, 1, 2, 8, 4],\n [-6, 0, -8, -8, 1],\n [-10, 3, 5, -3, -2],\n [-10, -6, -8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-6, -10, 9, -4],\n [-1, -2, -10, -5],\n [-8, -3, -10, -2],\n [0, -10, -10, -4]]\nB =\n[[0, 1, 7, 6],\n [4, -7, -1, -7],\n [5, 5, 2, -5],\n [-8, -4, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 1, 7, -8, -5],\n [6, -1, -9, 0, -8],\n [-8, 4, 10, 1, 8],\n [-4, -2, -4, -3, -6],\n [-2, 3, 0, 9, 5]]\nB =\n[[7, 9, 5, 10],\n [10, 6, -5, 3],\n [10, -1, 1, 3],\n [-7, 1, 4, 9],\n [-7, 2, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -6, 5, 4, 7, -3],\n [6, 4, -5, 1, 6, 1],\n [-10, 1, 8, -7, -9, -6],\n [-9, -10, -1, 3, -1, 3],\n [3, -3, -9, 5, 8, -6],\n [-9, 0, 4, 6, 8, 0]]\nB =\n[[-10, -8, 3, -9],\n [7, 7, -3, 5],\n [-9, 8, 2, -6],\n [-9, -9, 0, -5],\n [-3, -1, -6, -8],\n [-3, -9, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -9, -3, -2],\n [-1, 5, -5, 3],\n [-10, 1, 9, -8],\n [-10, -4, -10, -1]]\nB =\n[[-8, -3, 4, 1],\n [1, -2, 2, -3],\n [8, 9, -6, 8],\n [-9, -3, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, -7, -4, 3],\n [-1, -9, 3, 10],\n [0, 4, 10, 8],\n [6, 5, 3, 6]]\nB =\n[[-10, -10, 1, 1, 4],\n [-3, -1, -7, -8, 4],\n [5, 3, -10, 7, 6],\n [-1, 10, -10, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -5, -7, -8, -10, -9],\n [2, -2, 1, -9, 3, -5],\n [10, 3, -8, 5, -2, 10],\n [4, 3, -10, 1, 4, -7]]\nB =\n[[-5, 4, -7, 6, 9, 1],\n [7, 6, 6, -10, -5, -1],\n [9, 1, 7, -2, -10, -10],\n [-7, -5, -9, -9, -2, -7],\n [4, -7, -10, 5, -4, 5],\n [10, -2, -6, -9, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "793", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -6, -1, 4],\n [5, 6, -10, -1],\n [-4, 5, 2, -8],\n [9, 6, 10, -5],\n [8, 8, -9, -3],\n [-8, -3, 10, -2]]\nB =\n[[4, -9, -5, -3, -1],\n [3, 7, 6, 10, -7],\n [-10, -6, -6, -3, 0],\n [-1, 1, 9, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[3, -3, 10, -6],\n [-10, 7, -3, 6],\n [4, -8, 1, 5],\n [-1, 8, 5, 7]]\nB =\n[[5, -9, -10, -7],\n [2, -9, -3, 5],\n [8, -10, 0, 4],\n [1, 0, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 1, -10, 0, -4, -9],\n [5, 4, 2, -10, -3, -9],\n [-2, -4, 8, 4, -1, -2],\n [-10, -9, 3, -9, 6, 7]]\nB =\n[[2, 10, -10, 6, -3, -7],\n [-6, -6, -10, 0, 5, 7],\n [-2, -6, 9, -8, -8, -6],\n [10, 5, 0, -9, 7, 5],\n [1, 7, -10, 3, 4, -7],\n [6, 0, -5, 8, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -8, 7, -5, 4, 3],\n [6, 7, -4, 8, -5, 1],\n [-3, -10, 10, -4, 0, 4],\n [-10, 8, 3, -10, -9, 2],\n [5, 8, -4, -4, -6, -4]]\nB =\n[[9, -3, 4, -1],\n [5, -3, 2, -9],\n [-2, -5, 9, 0],\n [-8, -4, -3, 2],\n [-8, -7, 7, -5],\n [0, -4, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, 10, 10, 8, 7, 5],\n [8, -6, 3, 0, 2, 2],\n [-6, 8, 10, -7, -4, 0],\n [9, 5, 3, 7, 2, 4],\n [-9, -1, 10, 1, -8, -7]]\nB =\n[[-6, 9, -7, 8, -7],\n [2, 2, -6, -8, 1],\n [-10, 9, -8, -4, -7],\n [3, 2, 9, 9, 4],\n [-3, -7, -2, -10, 2],\n [2, -9, 8, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -4, 0, 9, 5],\n [5, 8, -4, -10, -9],\n [-10, -10, -10, 4, -8],\n [-9, 0, 9, -1, 6]]\nB =\n[[0, -10, 3, 4],\n [-3, 8, -7, 10],\n [6, 10, 9, 6],\n [4, 1, -4, -7],\n [-5, -2, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, 1, 2, 9, 9],\n [1, 8, 7, 3, -9, 9],\n [10, -8, -10, -8, 8, 9],\n [6, 9, 0, -3, 0, 2],\n [-10, -5, 0, 8, 9, -3]]\nB =\n[[9, 0, -10, 8, -7, 3],\n [-8, 0, 6, 8, -10, 0],\n [2, 9, -7, -3, -9, -6],\n [-4, -1, -8, 8, 9, 3],\n [0, -1, 8, 8, 7, 10],\n [3, -10, 6, 0, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2561", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, 6, -5, -3],\n [-6, -3, 6, -4, -6],\n [-5, -4, 6, 7, 10],\n [9, 5, -7, 3, -6],\n [-6, -1, -5, 10, 2]]\nB =\n[[1, 6, -2, -3, 10],\n [-5, 1, -10, 4, 5],\n [5, 10, -7, 2, 5],\n [6, -6, -9, 3, 5],\n [-7, 0, 6, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 3, 3, -10],\n [4, 7, 0, -3, -5],\n [-1, -4, -4, 5, 9],\n [10, -4, 9, 9, -7],\n [0, -1, 10, 10, -9],\n [-8, -8, 4, -6, -7]]\nB =\n[[5, 10, -8, -2, -8, 10],\n [-4, 3, 6, -6, -7, -10],\n [-1, 10, -2, -4, -9, 8],\n [-7, 8, -6, 8, -3, -7],\n [4, 0, 4, 10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3404", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 10, -4, -6, -5],\n [3, 6, 1, -7, -10, 4],\n [-8, -1, -2, -1, 9, 0],\n [-2, -8, -5, -5, -4, 10],\n [2, -3, 0, -1, 5, -10],\n [-5, 6, 9, 8, -6, 7]]\nB =\n[[10, 9, -10, 2, -9, 5],\n [9, 0, -7, -6, -5, -6],\n [-6, -3, 7, 8, 0, -9],\n [8, 8, -7, 4, -5, 2],\n [-8, 9, 4, 7, 2, -5],\n [-10, -3, 5, 8, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -6, -3, 1],\n [6, -1, -10, -7],\n [-2, -4, 8, 0],\n [6, 0, -9, 4],\n [2, -5, 10, 5]]\nB =\n[[0, 8, 8, 5, 9],\n [-6, -4, 3, 3, 4],\n [-4, -1, 8, 0, -4],\n [9, -10, 7, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, -2, 10, 4],\n [0, -8, -3, 0, -6],\n [-3, -1, -2, 9, -3],\n [-2, -10, 9, 8, 10],\n [-3, -5, 5, 3, -9]]\nB =\n[[-1, 9, -8, -9],\n [-6, 3, -4, 8],\n [2, 7, -2, -10],\n [-1, 6, 1, -6],\n [2, -3, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[1, 2, 3, -1],\n [-2, 3, -1, -9],\n [-10, 10, -7, -1],\n [6, 2, 4, -4],\n [10, -7, 9, 2]]\nB =\n[[-6, -4, 3, 4, -6],\n [1, -3, -8, 4, -4],\n [2, 7, -10, 3, 0],\n [10, -6, 7, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, -8, 7, 8, 1],\n [-8, -1, -10, 5, -5, 9],\n [5, -4, 4, 0, 3, -7],\n [4, -3, -5, -4, 6, 4],\n [5, 3, -2, -9, -4, 5],\n [0, -2, -8, -7, -10, 2]]\nB =\n[[-5, -3, 7, -9],\n [-8, 0, 4, 8],\n [-1, -8, -9, -7],\n [-8, 9, 10, -9],\n [5, -10, 0, -6],\n [-5, 10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[5, 8, 2, 7, -2],\n [8, -3, -3, -1, 2],\n [-9, 6, 7, 4, -6],\n [-8, 7, 3, -4, -5],\n [4, 10, 5, 3, -5]]\nB =\n[[-10, -8, 0, -10, 1],\n [8, 6, -2, 0, -5],\n [10, 5, 10, 7, -9],\n [7, -5, -4, -9, -1],\n [4, -3, 7, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 5, 2, 3, -9, 8],\n [-10, -6, 3, 10, -4, -9],\n [4, 1, -4, -9, -8, -4],\n [-6, 1, -1, 8, 9, -2]]\nB =\n[[3, 8, -3, 3, 1, 7],\n [8, 8, 9, -9, 9, -1],\n [-9, 6, -9, 10, 4, -8],\n [-4, 9, -2, -5, 1, 5],\n [4, 7, 8, 9, -8, -1],\n [-8, 1, 9, -10, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-268", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 5, -3, -3],\n [8, -2, -1, -6],\n [-3, 1, -7, 10],\n [6, 8, 7, -5]]\nB =\n[[-1, 8, 10, 8, 6, 6],\n [-8, -2, -5, 5, -5, 5],\n [-4, 7, 5, 10, -5, -6],\n [5, 8, 3, 5, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, 1, -9, -8],\n [-6, -4, 7, 7, -9],\n [-8, -6, 8, 10, 5],\n [4, -5, 2, -4, 5],\n [9, 3, -2, 8, 0]]\nB =\n[[-3, -6, -10, -7, 1],\n [0, -10, -10, -4, -5],\n [5, 8, 8, 8, 1],\n [-4, 9, -2, -9, 1],\n [0, 6, -2, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1137", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, -9, -5],\n [-1, -4, -3, 1],\n [-8, 5, -3, -1],\n [-6, 3, 5, -9],\n [-6, -10, -6, 9]]\nB =\n[[-6, -2, -7, 3],\n [-10, 5, -10, -6],\n [2, 8, 0, 7],\n [2, -4, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 0, -8, -8, 2],\n [5, -9, -2, 1, 7],\n [-3, 7, -8, 3, 7],\n [1, -7, -8, 0, -9]]\nB =\n[[-5, 8, 9, 9],\n [-9, -3, 1, 2],\n [-1, -6, -9, -5],\n [-5, 0, -8, -8],\n [9, 6, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 3, 6],\n [-4, -1, -1, 7],\n [7, 8, -7, 0],\n [-6, -6, -6, 10],\n [-7, 8, -10, -10]]\nB =\n[[-10, 2, -3, -8, 3, -2],\n [-1, -10, -1, 5, 10, -6],\n [-7, -4, 7, -9, 6, 8],\n [-3, 3, -6, 4, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 5, 5, 7, -4],\n [9, 5, 10, 2, 7],\n [-5, 0, -10, 3, 5],\n [-4, -6, -2, 7, -4],\n [5, -3, 5, 8, -2]]\nB =\n[[10, -3, 7, 1, 10, -2],\n [10, 3, 0, 1, 2, -10],\n [5, 4, 4, -3, -9, 5],\n [-10, 6, 10, -5, -2, -9],\n [10, -6, 5, -6, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 0, -4, 2, 5, 3],\n [-4, 0, -6, -2, -10, 0],\n [5, -3, -10, 1, 4, 7],\n [2, 6, 7, 1, 8, -8],\n [4, -1, 8, 3, 1, -5],\n [9, 3, -4, 8, 1, 5]]\nB =\n[[7, -2, 5, 0, 6, 0],\n [-5, -5, -7, -1, 4, 7],\n [-3, 0, 0, -6, -9, -7],\n [2, -6, 8, -5, -1, 2],\n [-7, 0, 6, -9, -10, -2],\n [-2, -8, -3, -7, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 3, -2, -1, 4, -2],\n [-2, 4, -6, -3, 4, -8],\n [-6, 10, -4, 0, 6, 3],\n [6, -6, -4, 3, -8, -7],\n [1, -1, 5, 5, 1, -8]]\nB =\n[[-1, -1, -3, 4, 3, 1],\n [5, -4, 6, -9, -3, 3],\n [4, -4, -7, 0, 5, 5],\n [-2, -4, 10, 1, -7, -5],\n [2, 8, -2, 7, 7, 8],\n [-8, 0, 8, 9, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1381", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -3, -6, 8, -1],\n [6, -7, 4, -4, 9],\n [2, 8, -8, 10, 0],\n [6, -9, 9, -4, 5]]\nB =\n[[-1, -3, 1, -7],\n [-10, -4, 0, -2],\n [-5, 1, 9, -6],\n [-7, -3, -5, -8],\n [-5, 10, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 2, -6],\n [-5, -3, 10, 6],\n [-10, -3, -4, 1],\n [10, 10, 7, 2]]\nB =\n[[3, 9, 6, -2],\n [-4, 3, -3, -4],\n [3, 3, -8, 6],\n [4, 4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "926", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-8, 2, 0, 4, -2, 5],\n [0, 3, -8, -5, -1, -8],\n [-10, 10, -8, 0, 5, 7],\n [1, 7, -6, -7, -8, 6]]\nB =\n[[6, 6, -8, -7, 10, 2],\n [-1, 6, 1, 5, -5, -2],\n [0, -8, 0, -7, -5, -1],\n [-3, -9, -5, -4, 2, -3],\n [-10, 10, 6, -2, 8, -1],\n [-5, 1, 8, 10, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 7, 9, -2, -3],\n [5, 2, 10, 6, -10],\n [4, -4, 9, -7, 6],\n [-4, -6, 5, 2, 2],\n [8, -10, 5, -5, 3],\n [-4, 3, -2, 3, -8]]\nB =\n[[-8, 1, -9, 6, 3],\n [-7, -1, -4, 8, 1],\n [-3, -7, -5, -6, 6],\n [9, -4, -5, 9, 6],\n [-8, 1, 0, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1782", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-3, 10, -3, 4, 8],\n [10, 0, -3, 8, 6],\n [0, -2, -2, 4, 7],\n [-5, -10, -9, -6, -5]]\nB =\n[[10, 9, 9, 5, -4],\n [3, 7, 1, 6, 9],\n [8, -7, 2, -1, 10],\n [0, 4, -3, 7, 4],\n [-10, 6, 0, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[3, 8, 8, 1, -6, 1],\n [-4, -4, 10, 4, -5, 5],\n [-5, 4, -2, -1, -4, 2],\n [3, 2, 2, -4, -7, 0],\n [5, 2, 6, -8, 6, 4],\n [-6, 9, 10, -3, -9, 7]]\nB =\n[[-6, 2, 2, -9],\n [-10, 7, -1, -3],\n [-3, 3, 3, -5],\n [8, 10, 4, -1],\n [6, 0, -10, -3],\n [4, -10, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -2, -8, -8, 6],\n [-7, 7, -2, -4, 6],\n [10, 0, -4, -1, 9],\n [-10, -1, -1, 4, 9]]\nB =\n[[-8, -10, -7, -5, 8],\n [5, -2, -2, 4, 2],\n [-1, 4, 9, -2, 4],\n [-8, -2, -3, 0, 4],\n [-8, -7, -6, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-591", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[10, 9, -6, 9, -10],\n [10, -1, 1, -6, -6],\n [-4, 5, -4, 1, -8],\n [-2, 1, -2, 9, 9]]\nB =\n[[0, 10, -4, -2],\n [1, -9, -8, 6],\n [5, 3, 7, -6],\n [-8, -4, -2, -10],\n [-2, 6, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -6, 5, -3, 1],\n [-5, -10, 1, 9, -4],\n [-5, 9, 6, -2, 6],\n [-10, 6, 0, -8, 7],\n [4, 9, 9, 0, -2],\n [7, -4, -4, 3, 3]]\nB =\n[[9, 5, -1, 9, 5, 7],\n [-3, 10, 9, -8, 2, -9],\n [6, -9, 1, -10, -1, 5],\n [0, 5, 7, -9, 6, 2],\n [-10, -6, -1, 5, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -10, 0, 3, -1],\n [3, -8, 4, 0, 9],\n [4, -6, -1, -4, 2],\n [-5, 5, 0, 4, 8],\n [-2, 2, -3, -5, 9],\n [3, -9, 8, 10, 9]]\nB =\n[[-6, -2, 4, -9, 7, 2],\n [1, 2, -2, -3, 6, -10],\n [-8, -7, -3, 6, -8, -4],\n [6, -1, 3, -2, 6, -3],\n [2, 1, -5, -9, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -2, -8, 4, -6],\n [2, -9, 2, 2, -2],\n [3, 10, -5, -7, 6],\n [1, 7, -5, 0, 0],\n [7, 2, -5, -6, -9]]\nB =\n[[-3, -10, 2, 6],\n [9, 5, -6, -9],\n [0, -2, 1, 1],\n [10, 9, 4, 10],\n [4, 7, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -1, -2, 8, -10],\n [-7, 7, 0, -5, -8],\n [-4, 8, 1, 1, -8],\n [10, 4, 1, 4, 8]]\nB =\n[[-7, 4, -9, -7, -10, -7],\n [0, -4, -6, 2, -8, 0],\n [8, -1, 4, -7, 7, 8],\n [2, 3, 3, -7, -10, 0],\n [-9, 0, 7, 9, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, 10, 2],\n [-10, 6, -7, 5],\n [-6, 3, 0, -6],\n [4, 4, -10, 0],\n [8, 5, -5, -4],\n [-9, 2, 4, 9]]\nB =\n[[8, 4, 0, -9, 8],\n [3, -3, -5, 3, -9],\n [6, 10, 4, -10, 5],\n [-4, 0, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -7, -2, 5, 0, 5],\n [5, -4, 9, 10, 8, -8],\n [5, -1, 6, 9, -2, -2],\n [-3, 6, 9, 1, 8, -1],\n [4, 8, 9, -8, 1, -6]]\nB =\n[[-9, 1, 7, 6, 6, 10],\n [8, -4, 5, -8, -3, 2],\n [-1, 3, -5, -4, -8, 8],\n [10, 5, -2, 7, 9, 0],\n [10, -1, -10, 1, 8, -3],\n [-2, 1, 0, -5, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -7, -9, 9],\n [9, -5, -3, -5],\n [4, -2, 0, 6],\n [-3, -7, 6, -7],\n [-5, 0, 1, -6],\n [4, -6, -5, -7]]\nB =\n[[-9, 3, 4, -10],\n [7, 4, 4, 8],\n [-8, 9, -8, 3],\n [5, -1, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-893", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, -1, -3, -5, -8],\n [8, -6, -2, -2, 0, 2],\n [8, -3, -6, 4, 8, -5],\n [10, -4, 0, 9, 4, -5],\n [7, -6, -5, 7, -8, 7],\n [4, -1, -5, -10, -6, 1]]\nB =\n[[-2, 8, -9, -10],\n [-8, 6, -9, -7],\n [-7, -1, -1, -5],\n [0, 1, 6, 7],\n [0, 3, 3, 7],\n [5, -1, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -1, -9, 6, -5, 3],\n [1, 8, -10, -5, -7, 8],\n [0, 1, 6, -7, -10, 10],\n [-9, 7, -8, 7, -9, 6]]\nB =\n[[10, 4, -8, -3, 0],\n [8, 2, 6, 6, -1],\n [0, 2, -8, -10, -3],\n [5, 8, 7, 5, -5],\n [4, -7, 6, -6, -3],\n [-7, 0, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "686", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 6, 4, -4, 3],\n [6, 9, -2, 9, -8],\n [1, 2, -10, 7, 0],\n [3, 7, -4, 7, -6],\n [8, -1, 7, 9, -3]]\nB =\n[[-6, -3, -1, -8, -9],\n [-1, 10, 8, -7, -9],\n [8, 1, 4, 8, 10],\n [0, 9, 1, 6, -1],\n [-5, -6, -1, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -4, 10, -1, 0],\n [-3, -2, 0, -1, -4],\n [4, 3, -8, 7, -7],\n [0, 4, -5, -5, 10]]\nB =\n[[2, 5, -6, 6, -5, -9],\n [-6, -9, -9, 7, 9, -8],\n [-7, -1, 8, -9, -10, 3],\n [-6, 1, 4, 0, -2, 4],\n [-1, 9, 4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 2, 5, -5],\n [-7, 6, 6, -3],\n [3, 4, 7, 2],\n [-4, -4, -5, 7],\n [-8, -7, 10, 1],\n [6, 5, 10, -6]]\nB =\n[[0, -3, 8, -10, -7],\n [-4, 7, 7, 10, 8],\n [8, 5, -10, -9, -10],\n [-8, 9, 2, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1924", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -6, 4, 2, -2],\n [10, 7, -9, 10, 3, -5],\n [-2, 2, -2, 4, -7, -8],\n [7, 0, -8, -2, -10, -5]]\nB =\n[[-6, 2, -7, -1],\n [-3, 9, 3, 9],\n [-8, -10, -6, 3],\n [-1, 3, 6, 5],\n [-1, -8, 3, 10],\n [9, -6, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, -8, 3, -6, -1, 10],\n [5, 8, 10, 8, -10, 1],\n [-8, -9, 2, 8, 0, -9],\n [-8, 2, -6, 8, -9, -9]]\nB =\n[[0, -3, 4, -9, 8, 4],\n [-6, -4, 10, -2, 9, 2],\n [3, 0, -5, 5, 1, -5],\n [5, 10, 3, 6, 4, -10],\n [-3, 8, -10, 5, 3, 7],\n [7, 2, 10, -3, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, 0, -3, -9],\n [-6, -8, 5, 9, 6],\n [5, -1, -5, 9, 0],\n [-1, 7, -10, 3, -4]]\nB =\n[[3, -1, 3, 4, -6],\n [-4, -7, 0, -9, 5],\n [-8, -9, 4, -5, -2],\n [0, -2, -4, 8, 9],\n [-6, -1, -3, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-3, -2, 8, -4, -9],\n [5, 6, -8, -4, -8],\n [5, 4, -6, 6, 0],\n [-10, 8, 10, 10, -2],\n [10, -1, -3, -4, 6],\n [1, -7, -9, -10, 6]]\nB =\n[[-1, 1, -7, -6, -2, 4],\n [-1, 4, -8, 6, 2, 6],\n [2, -10, 3, 9, 10, -1],\n [0, -3, 8, -5, -8, 6],\n [0, -10, -4, -6, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-3, 1, -2, -3, -8, -10],\n [2, -5, 8, -8, 9, -8],\n [4, 8, 0, -7, 5, 3],\n [-1, -3, -4, -10, -5, -7]]\nB =\n[[10, 3, -4, 8, 3],\n [8, -3, 7, 1, 9],\n [4, 1, -9, 4, 7],\n [-7, -3, 8, 6, 6],\n [-3, 4, 5, 10, -7],\n [-4, -9, -5, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 7, 3, 7, -6],\n [3, -8, -6, -1, 3],\n [-7, 6, -6, -8, -9],\n [0, -9, 4, -4, 5],\n [-9, -10, -4, -8, 10],\n [3, -1, -4, -10, -9]]\nB =\n[[-2, 5, -1, -9],\n [-7, 4, 2, -4],\n [-3, 3, 4, 9],\n [-9, -10, -5, 2],\n [-9, -7, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -6, 7, 3],\n [-6, 7, 0, -8],\n [-1, -2, -10, 10],\n [-3, -10, -7, 3],\n [10, 2, 4, -10],\n [-4, 5, -1, -5]]\nB =\n[[-10, -3, 3, -5, 7],\n [5, 6, 9, 3, 9],\n [3, -5, -2, 2, -7],\n [-2, -5, 5, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 10, 2, -10, -8],\n [5, -9, 5, -5, 10],\n [-7, -7, -1, -1, -6],\n [-6, -1, -5, -4, -4]]\nB =\n[[-5, -2, -2, -5, 9],\n [4, 9, 3, -1, 2],\n [-7, -8, -4, 0, -4],\n [-8, 5, 5, -3, -5],\n [-2, 0, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, 3, -3, 3],\n [5, -10, -8, -7, 8],\n [-8, -7, -8, -3, -2],\n [7, 10, 4, 8, 2],\n [10, 9, -1, -4, 8],\n [-9, -4, 6, -4, 5]]\nB =\n[[1, -7, 9, 7],\n [5, -9, 0, 6],\n [8, -1, -6, -6],\n [-2, -5, 1, -7],\n [-9, -10, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-495", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, 10, 0],\n [0, -8, 5, 6],\n [8, 6, -2, 5],\n [-10, 0, -9, 6]]\nB =\n[[9, -1, 1, -9],\n [-5, 0, 7, -4],\n [7, 3, 1, 7],\n [1, 1, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, -7, -5, 10],\n [-4, 1, 7, 5, 1],\n [9, 2, 5, 6, 5],\n [2, 7, -10, -7, 0],\n [7, 1, 4, -6, 1],\n [-6, 1, -6, -3, 8]]\nB =\n[[-9, -8, -10, -1],\n [-10, -2, -5, 5],\n [6, 0, 5, -10],\n [6, -4, 9, 0],\n [-4, 10, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 8, -2],\n [-2, -9, -1, 9],\n [-1, -3, -10, -6],\n [5, -4, -7, 0],\n [-3, 2, -4, 1],\n [5, 10, -7, -2]]\nB =\n[[0, 2, 4, 9, -5, 10],\n [6, -8, 9, 1, 2, 8],\n [-6, 8, 4, 2, -1, -3],\n [0, 2, -9, -9, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-360", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -1, 1, 10],\n [-5, -8, 1, -9],\n [0, -6, -8, 9],\n [-4, 1, 9, 9],\n [5, 5, -3, -9],\n [2, 0, 6, 5]]\nB =\n[[-9, 5, -10, 0],\n [3, -2, 7, 8],\n [3, -9, -7, 10],\n [6, -9, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, -10, -5, 5, 2],\n [-7, 8, -2, -5, -1, -8],\n [5, 9, 1, -6, -4, -3],\n [2, -3, -7, -8, -10, -10]]\nB =\n[[-9, -6, -9, -6, -8, 10],\n [2, 6, 5, 2, -9, -6],\n [-4, 10, 4, 2, -5, -4],\n [-7, 8, 1, 9, 4, 7],\n [-4, 0, 4, 3, -5, -8],\n [0, -6, 9, 2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-647", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 1, -9, -5, 5],\n [2, -7, -4, -4, -4],\n [1, 4, 3, 8, -3],\n [8, 1, 0, 0, 8],\n [-6, -1, -6, 2, 4],\n [-2, -2, -3, -2, 5]]\nB =\n[[-7, -7, -1, 1],\n [10, -4, 10, 0],\n [7, 4, -8, -9],\n [4, -6, 8, -10],\n [5, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-9, 0, 3, -1, -4, -9],\n [-4, -6, 6, 2, 9, 2],\n [-1, -9, -10, -4, 0, -2],\n [8, 10, -6, -4, -9, -1],\n [-10, -3, -9, 8, 3, -4],\n [-7, -2, 8, 10, -5, 3]]\nB =\n[[2, -7, 4, -1, 4, -3],\n [2, 2, -3, -9, -7, 3],\n [1, 2, -4, 9, 0, -9],\n [0, -5, -8, -5, -4, -4],\n [2, -4, -10, 9, -7, 1],\n [-6, -5, 3, -2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, -8, 5, -5, -7],\n [-8, 9, 3, 0, 2, 9],\n [0, -5, 0, 2, 0, -1],\n [-10, -6, 7, 1, 5, 7],\n [9, -2, 6, 7, -5, -10]]\nB =\n[[8, 5, 2, -5],\n [-2, 4, -7, -6],\n [3, 10, 4, 8],\n [-7, -5, 0, 3],\n [9, 4, -5, 0],\n [6, -6, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1295", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -6, -7, 8, 1],\n [-7, 6, 10, 4, -8],\n [-1, -10, 5, -4, 5],\n [10, 5, 5, -1, 8],\n [-1, -7, 4, 6, 2],\n [-1, 6, -4, 2, 2]]\nB =\n[[10, -2, -6, -4],\n [-3, -6, -1, -10],\n [5, -8, 7, 0],\n [8, -6, 6, -9],\n [-6, 10, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -5, 3, -5, -10, -7],\n [-9, 4, -6, -5, 5, -5],\n [-1, -8, -6, -3, -4, -5],\n [2, -2, -4, -9, 10, -9],\n [4, 8, 7, 10, 2, 2]]\nB =\n[[2, 10, -6, 1],\n [2, 1, 0, -8],\n [3, -5, 10, -6],\n [-5, -1, 1, 1],\n [-10, 6, -7, -6],\n [8, 5, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-649", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, 0, -8, 8, 10],\n [0, -4, -10, 1, -1, 0],\n [0, -9, 1, 8, -9, 10],\n [-5, 4, 4, -5, 4, -9],\n [9, 3, 5, 10, -10, -7],\n [3, 1, -6, -8, -5, -2]]\nB =\n[[-6, 0, -7, -8, -10, 2],\n [5, -7, -10, -7, -5, 2],\n [-10, 5, -9, -3, 1, 2],\n [4, 2, -1, -8, -3, 3],\n [-3, 2, 6, -1, -9, 4],\n [10, 9, -9, -4, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 10, -8, -4, 0, -7],\n [-3, 4, -9, -8, 5, -8],\n [7, -9, 9, -6, -9, -7],\n [0, 4, -3, 2, 6, -3],\n [-8, 4, 10, -10, 8, 5]]\nB =\n[[2, -6, -10, 1],\n [-9, -5, 3, -7],\n [-2, 8, -2, -8],\n [5, 1, 4, 4],\n [8, 1, 6, 0],\n [-6, 2, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 1, 1, -4, -2],\n [8, -5, 1, 8, 0],\n [-10, -4, 6, -3, 9],\n [-10, 4, 1, 0, 4]]\nB =\n[[-7, 3, 7, 10, -8, -1],\n [8, -3, -10, -2, -4, 1],\n [-9, 10, -10, 6, 4, -1],\n [-1, -10, 1, -9, 4, 5],\n [6, 5, -7, 4, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 4, -1, -10],\n [10, -4, -3, -4],\n [-3, 4, 1, -10],\n [-7, 3, -8, -3],\n [7, -8, -2, 2]]\nB =\n[[-8, -3, 2, 2, -8, -8],\n [0, 8, 3, 1, 1, 10],\n [4, 6, 2, 4, 2, 5],\n [-4, 2, 1, -10, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2006", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -9, -9, -9, -6],\n [3, 1, 7, 9, 5, -7],\n [-4, -10, 5, 3, 5, -2],\n [3, 10, 6, -9, 3, -2],\n [-6, -7, 4, -9, 0, 2]]\nB =\n[[0, 5, 1, -1],\n [10, -2, -8, -1],\n [-1, 1, 9, 6],\n [-9, 9, 8, -1],\n [-5, 6, 2, 5],\n [-6, -2, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-3, 4, 4, -2, 10],\n [6, 6, 9, -10, 2],\n [-4, 3, -7, 9, -5],\n [-5, 6, 10, -2, 10],\n [8, -6, -1, -3, 6]]\nB =\n[[-5, 7, -4, -7],\n [-3, -3, -7, -10],\n [1, -2, 1, 7],\n [-5, -1, 2, -9],\n [5, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -5, 10, 0, 0],\n [-10, 3, 0, -4, 0],\n [9, -9, -8, 2, 10],\n [-2, -5, -1, 1, -7],\n [3, 1, -10, 5, -3]]\nB =\n[[10, -10, -1, -5],\n [1, 7, 1, -8],\n [4, -5, 5, -9],\n [-2, -5, -1, 9],\n [10, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 2, -7, -5, -2],\n [1, 5, 8, 8, -4],\n [-7, 1, 3, -7, 3],\n [-4, 5, 8, 10, -10],\n [2, 7, -4, 9, -2]]\nB =\n[[10, -5, -3, -4, 3],\n [-8, -3, 6, 9, -6],\n [-9, 9, -3, 3, 8],\n [7, 10, -9, 7, -4],\n [9, 10, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1867", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 7, -2, -7],\n [-9, 3, -9, -9],\n [5, 0, -6, -1],\n [1, -3, 1, 8],\n [-2, 4, 0, 2]]\nB =\n[[-7, 6, -2, -6, 7],\n [3, -2, -8, -7, -6],\n [-6, -1, 6, -7, 4],\n [6, 9, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 2, 3, 2],\n [-4, 9, 0, 8],\n [-9, 10, -10, 8],\n [9, -9, 5, 0]]\nB =\n[[-10, -8, 0, -1, -5, -4],\n [-6, -10, -1, 3, -3, -10],\n [10, 6, 5, 5, 8, -7],\n [9, -6, -5, 6, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -4, -3, -9, 10, 9],\n [-8, -1, -2, -2, -2, 4],\n [9, 6, -10, 10, 1, -8],\n [3, 9, 1, -1, 1, 10]]\nB =\n[[8, -8, 8, -3, 5],\n [2, -3, -7, -10, 2],\n [-3, -6, -5, 7, 10],\n [-2, -6, -3, -2, -10],\n [10, -4, 6, -6, 6],\n [7, -2, 9, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-3, -6, 3, 5, -9, -4],\n [8, 0, 8, 9, 8, 1],\n [3, -4, -3, 10, -5, -6],\n [-5, 10, 10, -7, -6, 7],\n [-3, -5, 7, 1, -5, -9],\n [8, 0, 7, 3, 4, -7]]\nB =\n[[2, 0, -8, -4, -8, -5],\n [-5, -6, 9, -4, -5, 8],\n [8, -6, 6, 10, -4, 2],\n [-1, 3, 8, -5, -6, -1],\n [1, -5, -1, 1, -4, 0],\n [9, -8, 9, -1, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-7, -6, 10, 8, -9],\n [-2, 8, -4, 4, 9],\n [5, -6, 9, -5, 4],\n [-4, 3, 1, -5, -1]]\nB =\n[[-9, -7, 6, 8, 8, -4],\n [-3, -8, 4, 9, 0, 8],\n [7, 6, 5, 4, 9, 10],\n [-2, -6, -9, 9, -6, 3],\n [-3, 10, -7, -1, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 9, 7, 8, -5],\n [-9, -6, -7, 4, 3],\n [6, 3, -4, -5, 7],\n [7, -8, 0, -4, -5],\n [5, -4, -3, -4, 2]]\nB =\n[[-10, -3, 4, -4, 4, 3],\n [9, -10, 8, 0, 5, 8],\n [8, 8, 6, 8, 3, -3],\n [4, -4, 6, 9, 3, 7],\n [-10, 2, 6, -3, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -4, -2, 4],\n [-8, 9, 0, -5],\n [-2, 6, -4, -7],\n [10, 4, 1, 10]]\nB =\n[[3, 7, -10, 9],\n [6, -6, 3, 1],\n [-2, 0, -5, 2],\n [-8, 7, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[7, 9, 3, -9],\n [5, -1, 0, 7],\n [-5, 8, -1, 8],\n [0, 0, 10, -2]]\nB =\n[[-7, -6, -6, 1, 7],\n [-7, 2, 10, -8, 2],\n [-2, -1, 2, 8, 8],\n [0, -3, -5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 0, 10, 5, 7, 0],\n [-9, -7, -9, -2, -10, 10],\n [5, 9, 10, -9, 7, -9],\n [4, 2, -9, -4, 7, -3],\n [-6, -2, -6, 2, 8, -4],\n [1, 4, -8, -9, -9, 2]]\nB =\n[[10, 10, -10, 0],\n [4, 7, -7, -4],\n [-2, -5, -4, 9],\n [-9, -2, -1, -6],\n [0, -9, -9, 4],\n [8, 3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, -10, -3, 4],\n [-3, -3, 10, -2, 0],\n [5, 10, 7, -8, -6],\n [2, 6, -7, 8, -3],\n [3, 0, -8, -8, 6],\n [7, -6, 0, 1, -1]]\nB =\n[[-3, 6, 9, 0, 1, -10],\n [8, -4, -2, -1, -4, -6],\n [8, 5, -1, -2, 1, 5],\n [-1, -1, 9, -10, -2, 10],\n [4, -4, -3, 5, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-1, 1, -6, -5, 6, 10],\n [4, -3, -9, -7, -6, -2],\n [0, 3, 2, -6, -7, 10],\n [-8, -6, 9, -5, -6, -9]]\nB =\n[[-10, -2, 4, -10],\n [4, 5, -1, -4],\n [1, 4, -2, -8],\n [-8, 9, -3, 4],\n [-5, 1, 9, -4],\n [-10, -5, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -8, 6, 4, -8],\n [10, 6, 10, 3, -9],\n [-10, 9, 9, 3, -8],\n [-7, 9, 7, 4, -7],\n [10, -10, -7, -4, 6],\n [-3, -5, -4, -4, -3]]\nB =\n[[-9, -10, 1, 2, -5],\n [-10, -1, 4, -8, 4],\n [10, -5, 10, 4, 6],\n [-5, 0, -4, 7, 10],\n [-10, 6, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1007", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 0, 7, -4, -10],\n [2, 0, 10, 1, -7],\n [-4, 10, 10, 3, -6],\n [4, 0, -1, 7, 9],\n [4, 1, 10, -8, -1],\n [10, 2, -8, -4, 1]]\nB =\n[[-8, 1, -6, 0],\n [-2, 7, 2, -10],\n [6, -9, 7, 2],\n [-10, -7, -5, -9],\n [5, -9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -5, -3, 1, -8, -3],\n [8, 3, 8, -10, -1, 2],\n [6, -9, 8, -2, -8, -4],\n [-9, 0, -8, -5, -10, -9],\n [3, -5, -5, 5, -9, -1],\n [2, 8, -2, 1, -6, 3]]\nB =\n[[5, -3, -6, -10],\n [4, 5, -2, -6],\n [0, -8, -8, 7],\n [0, -10, -7, 2],\n [4, 4, 5, -2],\n [10, -5, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-568", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -8, 5],\n [7, -9, 9, 3],\n [7, 5, -4, -1],\n [-9, -6, 10, 1]]\nB =\n[[-4, -9, 2, 5],\n [8, 10, 7, -3],\n [-7, 0, -10, 7],\n [-1, 10, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[1, -9, -10, 4, -1],\n [-1, 5, -8, 5, -2],\n [-6, -5, -6, 3, -1],\n [4, 1, -8, 5, -2]]\nB =\n[[9, 7, 8, -3],\n [9, 8, 6, -8],\n [-1, 2, 9, -8],\n [-1, -5, 0, -8],\n [4, 6, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 10, 5, 1],\n [9, -3, 3, 10],\n [-9, -7, 4, 9],\n [-8, -4, 7, -7],\n [-4, -7, -9, -10],\n [5, 9, -9, 3]]\nB =\n[[2, 7, 10, 6, -3],\n [4, 0, 8, -2, 5],\n [-6, 10, -6, 2, 10],\n [7, 0, -3, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 10, -7, -3, 2, 7],\n [7, -8, 8, 6, -5, 7],\n [10, -4, -10, 2, -3, 4],\n [6, -6, -4, 2, -10, -2],\n [1, -10, -4, -3, -8, 6],\n [3, -4, -10, -7, 10, -3]]\nB =\n[[8, -5, 5, -4],\n [-5, 0, 8, 9],\n [-6, 3, 10, -4],\n [10, 7, -4, 9],\n [-5, 5, 7, 6],\n [-7, 3, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, 3, 4, -10, -4],\n [7, -10, 6, 5, 1],\n [-6, -1, 9, 9, 3],\n [-7, 7, -10, 10, 6],\n [9, -8, 10, 1, 5]]\nB =\n[[3, 8, -1, 7, 1],\n [-10, 1, 8, -7, 1],\n [6, 2, -9, -3, 2],\n [9, 9, -4, 8, 7],\n [-1, -9, -5, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 6, 9, -9],\n [-4, 0, -6, -8],\n [-10, -5, -9, 6],\n [-6, -1, 4, -5],\n [6, -9, -4, 8],\n [-6, 6, -1, -1]]\nB =\n[[8, -6, 0, 8],\n [0, 3, -3, -1],\n [2, -8, -4, -4],\n [7, 8, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-329", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 4, 7, -3, -1],\n [-10, -2, -6, -6, -3],\n [-7, 6, 8, 8, -7],\n [3, -10, 7, 7, 2],\n [2, 3, -5, 6, 1],\n [-9, 2, 9, 5, 9]]\nB =\n[[8, -10, 5, 8, -8],\n [8, -7, -2, -3, 4],\n [0, 2, 8, -7, 9],\n [7, -9, -8, 1, 9],\n [4, 3, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[-3, 0, 9, 5, -2, 2],\n [-9, -3, -7, 8, 0, -8],\n [6, 2, 9, -4, 0, 8],\n [9, 10, -2, 10, -8, 2],\n [-8, 5, -5, 9, -9, -2],\n [-5, 0, -1, 8, -7, -6]]\nB =\n[[-9, 5, 1, 10, -5],\n [10, 6, -4, 2, 5],\n [7, 4, -1, 7, -5],\n [2, 0, -4, 8, 0],\n [4, 8, 6, -4, -4],\n [8, 0, 0, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[10, 1, -3, 6],\n [10, -9, 3, 6],\n [8, -6, -6, 1],\n [-5, 8, -10, -5],\n [7, 5, 5, -10],\n [3, -1, -1, 1]]\nB =\n[[-5, -4, -9, -1, -4],\n [9, 1, 3, -8, 8],\n [-7, -1, -6, -1, 8],\n [2, -4, -2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 0, 3, -10],\n [-1, 4, -6, -10],\n [-9, -1, -4, 3],\n [5, -9, 8, -4]]\nB =\n[[7, 6, -8, 4, -10, 7],\n [9, -9, -1, 7, 1, -5],\n [2, 3, 9, -7, -8, 2],\n [-6, -9, 2, 6, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -3, 2, 9],\n [9, -1, -7, 0, 6],\n [-5, 10, 1, 10, 2],\n [6, -4, 6, -4, -1],\n [-9, 8, -9, -7, 5]]\nB =\n[[4, 2, 4, 6, 6, 9],\n [-10, -7, -6, 3, -2, -7],\n [1, 3, 6, -10, 8, -10],\n [0, 10, 9, 1, 2, 1],\n [8, 9, 7, -3, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 10, 0, 4, -10],\n [-1, -8, -8, 4, 8],\n [-6, -7, 0, 5, -5],\n [-2, 3, -7, -8, -9],\n [-6, -2, 0, 8, 3]]\nB =\n[[7, -2, -7, -7],\n [6, 3, -6, 5],\n [9, 6, -2, -2],\n [-10, 10, -1, 5],\n [-7, 7, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1844", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 4, -9, -7, 3],\n [-4, 5, -4, -9, 2],\n [3, -6, 8, -7, 4],\n [4, -7, -2, -9, 6],\n [-1, -3, -5, 4, -4]]\nB =\n[[10, 3, -7, -9, -8],\n [-8, 7, -7, 8, -8],\n [-4, 2, 2, 5, 8],\n [-6, -4, 1, -10, -1],\n [-4, 4, 5, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -5, -9, -8, -2],\n [5, -6, -9, -4, -10],\n [-6, -8, -6, 5, 0],\n [-7, 8, -9, -2, 3]]\nB =\n[[-1, -2, -5, 4, 6, -1],\n [-1, 4, -9, 2, -5, 5],\n [-8, 2, -8, -7, 10, -3],\n [-9, -1, 0, 6, -7, 10],\n [9, -1, 4, -10, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[0, 10, -10, 2, -6],\n [1, -2, 1, 10, -1],\n [9, -5, 5, -6, 2],\n [-9, 5, 9, 9, 7]]\nB =\n[[-7, -5, -4, -5],\n [-6, -10, -7, -9],\n [-1, 8, 10, 5],\n [0, -5, 1, 0],\n [7, 7, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -8, -6, -10, -2, -10],\n [-9, -6, 3, 0, 1, -8],\n [-9, 2, 10, -6, 1, -5],\n [-3, 2, 7, 5, -7, 7]]\nB =\n[[2, 2, 7, 7],\n [5, 8, -8, -2],\n [6, 7, -5, -2],\n [-7, 3, -1, -9],\n [-6, -5, 9, -3],\n [0, 9, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1529", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-7, -8, 0, -3],\n [10, -3, -8, -1],\n [0, 7, -2, 9],\n [6, -1, 0, -8],\n [-10, 10, 10, 3],\n [-5, -1, -2, 7]]\nB =\n[[-5, -9, 6, 7, -6],\n [-3, 8, -1, -9, 0],\n [9, 0, -6, -6, 2],\n [-2, 10, -8, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 4, -8, -3, -3],\n [2, 4, -1, 3, 7],\n [-9, 3, -7, 5, -9],\n [3, 8, -7, 10, 9],\n [2, -9, 6, -2, 1],\n [8, -4, 1, 7, 4]]\nB =\n[[10, 1, -2, 10, -9],\n [-1, -7, -1, 0, -7],\n [7, 5, -7, 1, 1],\n [1, 8, -5, -8, 9],\n [-6, -6, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, -4, 3],\n [-3, 3, -7, 0],\n [3, -4, 10, -5],\n [6, 10, -9, -7]]\nB =\n[[8, 0, 7, 7, -4],\n [-9, -9, -10, -7, -1],\n [-8, -6, -2, 6, -7],\n [10, 7, -3, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -6, 2, 10],\n [-4, 5, 0, -1],\n [8, 7, -9, 8],\n [-7, -4, -4, -10]]\nB =\n[[-7, -10, 4, 7, -7],\n [-8, 8, -1, 5, -4],\n [3, -9, 7, -5, 5],\n [-1, -4, 10, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 2, 5, -5, -1],\n [3, 0, 4, -2, 10],\n [9, -6, 8, 5, -3],\n [-2, -2, -4, -1, -4],\n [1, 2, 7, 7, 10],\n [1, 2, 9, 0, -9]]\nB =\n[[3, -6, 7, 4, 1],\n [-1, 8, 2, -7, 2],\n [6, 8, 10, 0, 4],\n [-2, -1, 2, -6, 3],\n [4, -5, 10, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1695", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -4, -3, 6],\n [2, -3, 6, -6],\n [2, 0, -10, 1],\n [6, -1, -4, 6],\n [7, -9, 0, 8],\n [6, 9, 1, 5]]\nB =\n[[3, 9, -6, -9, -4, 5],\n [0, -4, -6, 6, 5, -7],\n [-3, -5, 4, 0, -5, 2],\n [-2, 4, 8, -4, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[4, -10, -4, 6],\n [6, 8, 7, 10],\n [-5, 4, -10, -1],\n [-10, -1, 1, -7],\n [-8, -6, 7, -7],\n [-10, 0, 0, 9]]\nB =\n[[4, 2, 4, 3, 4, 1],\n [6, -8, 1, 10, 3, -9],\n [-2, -10, 2, 3, -7, 5],\n [-3, 8, 1, 9, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 5, -6, 4, 8],\n [7, 7, 0, 7, -8, -6],\n [-8, -2, -7, -8, 8, 1],\n [7, -6, -6, -9, -10, -2],\n [-3, -4, -5, -8, 8, 9]]\nB =\n[[2, 1, -5, -1, -1],\n [2, 5, -9, -8, 7],\n [-8, 4, -3, 10, 9],\n [2, 10, 1, -7, 10],\n [9, -6, 8, 2, -4],\n [10, -7, -6, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-690", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -7, -4, 7, 3],\n [4, -3, 6, 5, 6],\n [4, 8, 10, 4, -5],\n [7, 10, -10, -4, -5],\n [2, -4, 1, -6, -10],\n [-6, 3, 1, 9, 8]]\nB =\n[[2, 9, -1, 10, 0],\n [-10, 3, 3, 10, -7],\n [3, -3, -10, 3, 10],\n [-1, -6, -3, -2, 6],\n [2, -4, 8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2175", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, -6, 9, -2],\n [-3, 10, -8, 7, 7],\n [-5, 7, -8, -4, 7],\n [2, 3, 6, -6, -4],\n [5, -5, 7, 0, 2],\n [-10, -3, -4, -2, 2]]\nB =\n[[9, 2, -8, 8, 9, 5],\n [1, 10, 6, 9, -8, -2],\n [2, -6, 1, -8, 8, 2],\n [6, 8, -4, -6, -7, 2],\n [-3, -6, -8, -7, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -1, -4, -1, -4, 10],\n [2, 3, -9, 9, -2, -8],\n [3, -6, -5, 5, -3, 9],\n [4, -5, 7, -4, -6, 1],\n [-1, -3, 4, -7, -2, 10],\n [-10, 8, -3, 3, 3, -2]]\nB =\n[[6, -5, 0, 1, -8, 1],\n [7, -9, -1, 3, -1, -7],\n [9, 6, 9, -6, -9, 6],\n [6, 6, 6, -5, -2, 0],\n [5, -10, -2, -10, 6, 5],\n [-5, 7, -6, -2, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -4, 7, -8, 5],\n [-4, -6, 2, -6, 8],\n [-6, 0, 3, 5, 5],\n [-7, 5, 7, 1, -7]]\nB =\n[[-2, 0, 3, -10, 9, -5],\n [-4, -3, -1, 4, 0, 9],\n [-6, -5, -9, 7, -2, 2],\n [-2, 1, 4, -10, 9, 5],\n [3, 5, -4, -2, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1605", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[10, 7, 8, 9],\n [-2, 8, 4, 9],\n [-10, 6, -6, 3],\n [2, -7, 6, -1]]\nB =\n[[4, 1, 9, 8],\n [-10, 7, -2, -5],\n [2, -10, 0, 9],\n [-2, -8, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 5, -2, 8, -8],\n [-3, -5, -1, 6, 2],\n [-9, 2, 4, 7, 1],\n [-3, -2, 8, 7, 10],\n [5, 2, -4, 3, 4],\n [-10, -3, -6, 5, -9]]\nB =\n[[3, -5, 8, 8, -5, -5],\n [5, -10, -4, 3, -5, -6],\n [-6, -6, 9, 6, 1, -1],\n [8, -1, -3, -6, 9, 9],\n [-1, -9, -1, 1, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -3, 5, -1, -1, -5],\n [8, -6, 4, -5, 4, -7],\n [-8, -3, 2, -6, -2, 4],\n [-1, -5, 5, -9, 10, -9]]\nB =\n[[4, -10, -7, -4, -9, 6],\n [4, 9, 1, -5, 10, -8],\n [10, -8, 2, 3, 8, -10],\n [6, 0, 0, -9, -4, 8],\n [3, -4, -10, -7, 0, -10],\n [6, -9, 8, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[-6, -4, -3, -10],\n [2, -5, 3, 3],\n [-9, -5, -2, -2],\n [0, 6, -3, 3]]\nB =\n[[1, -3, 0, 8, -6, 10],\n [-3, 9, -10, 8, -6, 7],\n [-6, -5, -1, -3, 7, -10],\n [-1, -3, 6, -4, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[0, -10, 0, 10],\n [1, -4, 0, 10],\n [9, 2, 4, 3],\n [-6, -10, 8, 3],\n [-10, 0, -2, 10]]\nB =\n[[-2, 0, 5, -7, -1, -8],\n [4, -8, -8, -8, 8, -6],\n [-9, 8, 3, -8, 3, 6],\n [5, 9, 5, 0, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, 3, 9, -4, 2],\n [-4, 2, 7, 10, -10, -6],\n [-3, -1, 0, 5, 6, 9],\n [-6, 7, 3, 3, -8, 2],\n [-9, -9, 3, 5, -7, -6]]\nB =\n[[-6, -2, 8, -8, 10, -8],\n [-6, 5, 6, -9, 7, -7],\n [-2, 1, 5, 7, -6, 4],\n [-4, -1, -3, 3, -9, -5],\n [4, -10, 5, -1, 3, 9],\n [8, 8, 8, 10, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 3, 9, -3],\n [-10, -5, 6, -3],\n [-8, -2, 6, -10],\n [2, 3, 10, 1]]\nB =\n[[5, 8, 7, -6, 9],\n [-10, 1, 2, -2, -2],\n [-4, -3, -8, -3, 1],\n [10, 0, -5, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1072", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -4, 8, -5, 1, 2],\n [7, -3, 7, 6, 7, -7],\n [6, -6, 8, -7, 5, 6],\n [5, -4, 9, 10, -9, -10]]\nB =\n[[9, 2, 2, -1],\n [2, -1, 8, 0],\n [-6, -3, 0, 7],\n [-3, -8, 9, 8],\n [-10, -4, -5, 4],\n [-2, -9, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1187", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 8, 7, 1, -1],\n [-9, 7, 1, 7, 1],\n [-5, 1, 5, -5, -4],\n [1, -1, 10, 10, 9],\n [5, 6, 0, -9, -6]]\nB =\n[[1, 7, 2, 8, -10, 10],\n [-4, 1, 9, -1, -10, -6],\n [-2, -5, -8, 0, -4, -9],\n [0, -7, -1, 3, 0, -5],\n [10, 5, -1, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1000", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 3, -2, -1, -3],\n [-6, 1, 9, 10, 1],\n [-1, 10, -2, 4, 9],\n [-6, 9, -1, 0, 0],\n [-6, 1, -3, 8, -3]]\nB =\n[[-1, -2, 2, -8],\n [-7, -3, -9, -6],\n [-1, 8, 0, 9],\n [4, -5, 2, -3],\n [1, 3, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -10, -10, -2],\n [-2, -2, -7, 2],\n [6, 2, 4, 3],\n [-7, -7, 4, 5],\n [9, 3, 1, 8]]\nB =\n[[2, 7, -5, 5],\n [4, -7, 6, -2],\n [-3, 6, -7, -4],\n [8, -9, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 6, 8, 6, -7],\n [6, -8, 0, 9, 8],\n [-7, 6, -8, -3, -1],\n [-1, -4, -10, -1, -5]]\nB =\n[[-10, 9, -5, 5],\n [2, 9, 5, -10],\n [1, -3, -3, -2],\n [-2, 0, -3, -2],\n [9, -3, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -1, -10, -2, -2, -7],\n [-7, 6, 1, -4, 10, 10],\n [-3, -7, 2, 6, 8, 2],\n [-9, 0, 6, -6, 8, -6],\n [7, -6, 10, 0, 6, -5],\n [5, -3, -3, 3, 3, 2]]\nB =\n[[2, -1, 7, -2],\n [0, -6, -1, -8],\n [5, 6, 3, -10],\n [7, 6, -1, 5],\n [6, -6, 4, -6],\n [-1, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 0, 6, 2, -3, 10],\n [-8, 2, 7, 0, 8, 0],\n [8, -6, -7, 6, 10, -7],\n [1, 0, -2, -2, -5, -10],\n [7, 10, -1, 5, -7, -5],\n [5, -3, 2, -7, -6, 4]]\nB =\n[[-10, -7, 3, -1, -2, 6],\n [-3, 2, 7, -4, -3, 2],\n [9, -10, -2, 5, -1, 5],\n [-6, 9, -5, 5, -5, -4],\n [3, 2, 6, -4, 8, 3],\n [8, 4, 8, 4, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2092", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -10, -7, 8],\n [3, 8, 4, -1],\n [-10, 2, 1, -6],\n [3, 2, 0, 2]]\nB =\n[[3, 9, -7, -6, -2, -6],\n [4, -9, -6, 2, -10, 2],\n [4, -7, 3, 5, -1, -4],\n [-1, -4, 7, 2, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1206", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, 9, -3, 8],\n [7, -6, -1, 5, 5],\n [-1, -5, 5, -10, 7],\n [10, -1, 8, -9, 1],\n [7, -6, 9, 9, 4],\n [-2, -2, -7, 4, -6]]\nB =\n[[8, 9, 2, 6, -6],\n [8, 0, -8, 10, -6],\n [6, -10, -2, 3, -9],\n [-5, -1, -4, 7, -6],\n [7, -8, 8, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, -3, 10, 0],\n [2, 4, 3, 4, -5],\n [-7, 5, 6, 8, -3],\n [1, -3, 2, 9, -10],\n [-2, -3, -6, -7, -3]]\nB =\n[[-9, 10, 5, -6],\n [2, -7, 7, -5],\n [-6, -2, 6, 2],\n [4, 4, -7, -10],\n [-5, 9, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-732", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, 9, 9, -7, -6],\n [6, 10, 2, -1, 9, 10],\n [7, 9, -1, -5, -3, -5],\n [-8, 9, 7, 6, 6, 10],\n [1, -4, -1, -1, 5, -5]]\nB =\n[[-3, 5, 5, 8],\n [-10, 0, -4, 10],\n [-9, 4, 1, 3],\n [-8, -4, 6, -10],\n [-4, 0, -3, -3],\n [-3, 6, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -6, -10, -6, 0, -9],\n [5, 7, 2, 10, -6, -6],\n [7, 7, 6, 8, -1, 5],\n [-9, 9, 4, -5, -10, -7],\n [-10, -3, 8, 10, 3, 10]]\nB =\n[[-6, -9, -7, -2],\n [-9, -6, -3, -7],\n [5, -9, -10, 10],\n [-6, 0, 1, -4],\n [2, 9, -10, -5],\n [8, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-598", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -1, -8, 6, -5],\n [-1, 3, 1, -1, -6],\n [2, 7, -2, 5, -10],\n [1, -10, -9, -8, -1]]\nB =\n[[4, -1, -2, -4, 1, -1],\n [6, 2, 4, -4, 5, -2],\n [2, 7, 9, 4, 4, 6],\n [6, 2, -3, -3, 6, 7],\n [0, 9, -5, 6, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-671", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 5, -10, -5, 6, -9],\n [5, -9, -3, -6, 2, 4],\n [6, 5, -4, -1, 3, 0],\n [9, 6, -2, 4, -8, -9]]\nB =\n[[7, -2, 6, 3],\n [-3, -1, 7, 0],\n [-3, 1, 0, 1],\n [-2, 5, -4, 3],\n [-8, -10, 10, -6],\n [8, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -8, 1, 1],\n [10, 2, -2, 7],\n [-6, 10, 9, 0],\n [-9, -8, 7, -6],\n [0, 8, 2, -1]]\nB =\n[[2, 0, 9, -4],\n [-9, -2, 5, 5],\n [-9, -4, -6, 6],\n [-8, -5, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 10, -3, 0, -6],\n [9, -1, 0, 9, 4],\n [-1, -4, 4, -4, 10],\n [-6, -4, 3, 0, -5],\n [-5, -3, -6, 4, 4]]\nB =\n[[3, -6, 0, 2],\n [6, -5, 6, -6],\n [-8, 4, -1, 9],\n [5, 9, -9, -10],\n [2, -1, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[-7, 10, 5, 3, -9],\n [-9, -6, 4, 10, 6],\n [10, -3, -4, 6, 4],\n [-2, 7, 5, -3, 0],\n [-4, -10, -5, -3, 2],\n [-9, -10, 9, -10, 3]]\nB =\n[[-10, -5, 7, -10, 1, -4],\n [10, -8, -9, 8, 0, 0],\n [-4, -9, 3, -1, 7, 3],\n [0, -5, 1, 0, 8, 1],\n [-3, -8, -5, 3, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[10, 1, -8, 1, -7],\n [-1, 4, -8, 5, -1],\n [4, 1, 8, -6, 10],\n [-8, -6, -7, 9, 7]]\nB =\n[[0, 2, 5, -5],\n [10, -3, 10, -5],\n [-9, 6, 9, -7],\n [5, 1, -10, 6],\n [3, -10, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 5, -7, -3, 6, 8],\n [-4, 7, 7, 3, -1, 10],\n [-6, 5, 3, -10, -5, 7],\n [-9, 1, -5, 1, 3, 2],\n [3, 10, 9, 4, 4, -1]]\nB =\n[[10, 6, 10, -10],\n [-2, -4, -8, -8],\n [-6, -4, 9, -7],\n [6, 2, -7, 5],\n [-4, 1, 10, -6],\n [3, -10, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-939", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, 3, 10, -10],\n [7, 6, 9, -8, -9],\n [-9, 1, 7, -1, 7],\n [9, 1, -5, -8, 0],\n [-2, 5, 9, 3, -5]]\nB =\n[[-8, 10, 2, 5, 7, 4],\n [-1, 5, 2, -3, -1, -3],\n [8, -3, -2, 10, 6, 9],\n [0, -5, -3, 6, -5, 1],\n [-1, 3, -8, 2, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-1, -7, -10, -4, -5],\n [8, -4, 1, 5, 5],\n [-6, -7, -10, -10, 9],\n [-5, 2, 4, -4, -3],\n [-9, 5, -7, 2, -8]]\nB =\n[[4, 8, -1, 8, -1],\n [4, -7, 6, 7, 5],\n [-8, 9, -9, -3, -2],\n [-3, -5, -2, 0, 2],\n [-10, 6, -10, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 2, 10, -10],\n [6, 4, 7, 8],\n [8, 7, 2, -10],\n [1, -8, -4, 4],\n [-3, 5, -10, 1]]\nB =\n[[-2, 8, 5, 2, -3, 0],\n [-7, -8, 4, -8, -10, 3],\n [-9, 5, -2, -2, 0, -2],\n [10, -3, -8, -7, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -8, 0, -8, 7],\n [7, 0, -10, 1, -4],\n [-7, 4, -6, 5, -7],\n [-3, 8, -1, 1, -1],\n [6, -10, -2, -7, -4]]\nB =\n[[-5, -4, 7, 0, -10],\n [6, -10, 5, -7, -10],\n [6, 0, -6, 6, 4],\n [-5, 5, -1, 3, -2],\n [-10, -5, 9, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[5, -2, -9, -8, 6, -10],\n [8, 10, -2, 7, 5, -6],\n [6, -3, -9, -4, 4, -6],\n [10, -2, -9, -7, 9, 10]]\nB =\n[[-1, 5, -3, -3, 4],\n [-2, -7, 0, -6, 3],\n [6, 3, -10, -3, -2],\n [1, 5, -7, 4, -2],\n [7, 3, -7, 0, -1],\n [-1, -5, -4, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, 1, -6, 3],\n [-7, -9, 6, -10, -1],\n [3, 3, 1, -10, 2],\n [-8, 6, -8, 5, -4]]\nB =\n[[-4, 0, -7, -8, 9],\n [-6, 3, -7, 8, -2],\n [-9, -1, 8, -8, 8],\n [-5, -3, 10, 10, 5],\n [5, 10, 1, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1389", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 0, -1, 5, 8, -9],\n [5, 8, 2, -7, -7, -10],\n [-1, 9, 3, 7, -3, -4],\n [0, -8, -1, 2, 8, -5]]\nB =\n[[-1, 9, 8, -1, -7],\n [-10, 4, 0, 10, 1],\n [0, -4, -7, 5, -7],\n [4, 8, 8, 1, 6],\n [-6, 8, 0, -1, -9],\n [10, 5, -3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-465", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 0, 4, -8],\n [-5, -4, -2, -4],\n [-8, -5, 9, -9],\n [8, 0, 10, 10],\n [9, -5, 10, -3]]\nB =\n[[-6, -8, -3, -4, 2, 8],\n [-3, -2, -2, 6, 2, -4],\n [-3, 5, -5, -10, 7, 3],\n [3, 8, -4, 8, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1987", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -2, 10, 10, 8, -3],\n [10, -8, 5, 8, 8, 8],\n [7, -5, -10, 6, 10, -3],\n [9, -7, -10, -3, 4, -5],\n [2, -6, 6, -3, 0, 2],\n [9, 0, -5, 0, 0, 8]]\nB =\n[[-2, -4, 4, -1, -9],\n [-9, -6, 2, -4, 0],\n [0, 2, 8, 2, 9],\n [2, 1, 5, 2, 0],\n [-10, -7, 9, 7, -3],\n [3, 3, -2, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1965", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 0, -7, -3, -7],\n [8, -9, -2, 6, 8],\n [5, -6, 6, 0, 1],\n [-3, 7, 0, 0, -5]]\nB =\n[[-6, -9, 7, 8, -1],\n [-9, -6, 5, -9, 6],\n [3, 8, 9, 5, 3],\n [4, 10, 6, -8, -6],\n [-10, -9, 2, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1036", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -3, 7, -3],\n [-5, -2, -1, 3],\n [8, -2, -8, 3],\n [3, 6, -10, 3],\n [-9, 9, 0, -6],\n [0, -2, 6, -1]]\nB =\n[[2, -8, -8, 4, -10, -3],\n [-4, 5, -4, -8, -3, 9],\n [-3, 0, -2, 8, 6, 7],\n [-3, -6, 6, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1554", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 2, 2, -9, 4],\n [9, 0, 8, 10, 6],\n [-6, 7, 2, -7, 3],\n [-7, -10, -7, -9, -7],\n [6, 1, -10, 8, -7]]\nB =\n[[0, 6, 7, -2, -2],\n [-9, -2, -7, -1, 6],\n [2, -10, 5, -4, 7],\n [-4, 9, 1, 0, -3],\n [-3, 9, -9, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[5, 7, 8, 2, -3, -3],\n [-10, -8, 9, 7, -2, 0],\n [-7, 6, -4, 0, 5, 2],\n [-4, 9, -5, -5, 4, -6],\n [5, 3, -3, 10, 1, 0]]\nB =\n[[4, -5, 1, 5],\n [-7, 7, 3, 10],\n [-6, 8, -9, -2],\n [8, 3, -5, -7],\n [4, -1, 7, -9],\n [-6, -3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 10, -9, -5, 2],\n [5, -3, 1, -5, 2],\n [-5, 9, 1, -4, -6],\n [2, -6, 3, 1, 6],\n [-1, 4, 7, -2, 3],\n [-7, -9, -5, 7, -9]]\nB =\n[[8, -5, 0, -5],\n [6, 8, -3, 9],\n [5, 0, 0, -5],\n [8, 1, -5, -10],\n [6, 3, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -2, 0, 9, -3, 0],\n [9, 1, 7, -6, 7, -5],\n [-6, -8, 0, -1, 10, 4],\n [-2, -5, 2, -2, -2, 7],\n [-7, 2, -1, 6, 0, -5]]\nB =\n[[-3, -6, 0, 8, -9],\n [9, 7, -6, 5, 3],\n [-3, -2, -9, -10, 3],\n [0, 10, 10, 2, 5],\n [-2, -10, 2, -4, 4],\n [3, -5, 7, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1712", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -9, 6, -3],\n [1, -1, -6, -4],\n [6, -1, 9, -3],\n [4, 6, -6, 9]]\nB =\n[[3, 8, 1, -4, -8, 4],\n [10, 1, -1, -7, 5, 7],\n [-10, -5, -2, -7, 4, -10],\n [-7, -10, 6, -8, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 10, -9, 6, -9, 0],\n [-10, -6, 0, -10, 8, 7],\n [-1, -9, -8, -4, -4, 7],\n [7, -10, -1, 10, -8, 1],\n [-1, -3, 7, -4, -4, 9],\n [1, 6, -6, -6, -4, 0]]\nB =\n[[0, 3, -3, -1, -9],\n [-10, 6, -3, 6, 0],\n [0, -7, -6, -10, -1],\n [3, 2, 5, 9, -10],\n [10, -8, -9, -6, 8],\n [10, 2, 9, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3239", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -2, -6, -6, -10, -2],\n [-6, -10, 0, 1, 4, -5],\n [-7, -2, 6, 8, 4, 5],\n [-7, -6, -8, -9, 6, -5],\n [-1, -4, -9, 6, 8, 0],\n [-9, -5, 7, 10, -8, 10]]\nB =\n[[-8, 3, 1, 3],\n [2, 2, -10, 5],\n [-1, 10, 6, -7],\n [3, -9, 4, -10],\n [0, -3, 8, 8],\n [3, 10, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -4, -1, 3],\n [3, 1, 2, 7],\n [-4, -9, -1, 4],\n [-6, 6, -7, 8],\n [0, 9, -8, -5]]\nB =\n[[6, -2, 5, -7, 4, -6],\n [-6, 1, 5, -3, -6, -4],\n [8, 7, 6, -6, -6, 4],\n [-2, 2, -3, 4, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 0, 7, 9, -6, -8],\n [6, -3, 0, 2, -5, -4],\n [-6, 10, -4, 8, 5, 4],\n [-5, -9, 2, -7, -2, -3]]\nB =\n[[3, -5, 6, 4, -5],\n [0, -2, 1, -9, 1],\n [9, 0, 9, 9, 5],\n [-2, 5, -10, 2, 5],\n [-7, 1, -3, -1, -1],\n [5, 5, 1, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[10, 9, -10, -7, -7],\n [-5, -5, 9, -1, 5],\n [4, -7, -6, 5, -1],\n [-1, -10, 6, 0, -6],\n [-6, 8, -7, -10, 5]]\nB =\n[[5, 8, -4, -4],\n [-5, -9, -3, -3],\n [5, -10, 10, 7],\n [10, 7, 6, 4],\n [10, -9, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 5, -7, 10, -5],\n [-5, -6, 2, -9, 2],\n [2, 1, 10, 7, 9],\n [-3, 7, -7, 1, 5]]\nB =\n[[-7, 7, 4, 3, 4],\n [-7, -9, 1, 6, 9],\n [5, 6, -5, 4, 0],\n [-1, -9, -2, 5, 6],\n [4, -5, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 9, 6, -3, -2],\n [-1, 9, 6, 3, -5],\n [0, -10, 1, 10, 6],\n [-7, -4, -6, -4, 8],\n [7, 3, 10, 1, -6]]\nB =\n[[-7, -8, 8, 5, 4, 10],\n [3, 7, 10, -7, -5, 8],\n [0, -1, 2, 2, -8, -9],\n [10, -5, 2, 8, 3, 6],\n [0, 10, 6, 9, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 9, 5, -5, -8, -3],\n [5, -3, 7, 1, -10, 0],\n [7, 3, 4, -3, 0, 8],\n [0, 1, -4, 3, 0, 10],\n [5, 1, -6, -4, -3, 5]]\nB =\n[[4, 3, -5, 1, -2, -8],\n [-4, 5, -7, 8, -9, 5],\n [-8, -2, 0, 7, -1, 10],\n [7, 8, -7, 5, 8, -5],\n [-7, 4, -10, -8, 7, -3],\n [-2, -4, 9, -6, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -5, 0, 0, -6],\n [-5, 6, -5, 7, -6],\n [6, -3, -6, 9, 7],\n [-8, -10, -7, -8, 9]]\nB =\n[[-1, 6, -10, -9],\n [5, -9, -3, 4],\n [0, 3, 9, 1],\n [7, 6, -1, -3],\n [-2, -6, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -4, 3, 6, 2, 4],\n [3, 10, -9, -10, 2, -6],\n [-7, -1, 1, -8, -2, 10],\n [-5, -2, -10, 1, 9, 1]]\nB =\n[[-7, 5, 9, -7, 0, 10],\n [-4, -2, 5, 9, 2, -5],\n [2, 3, 1, -10, -7, -9],\n [-8, -6, 0, -9, 7, -2],\n [-6, 2, -6, 1, 5, -1],\n [8, 3, 6, 0, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -6, 7, 1, 5, 4],\n [8, -4, -9, 0, -9, -5],\n [10, -7, 1, -10, -1, 7],\n [-4, 1, -3, -6, -6, 9],\n [-6, 9, 4, -6, -8, 4],\n [-6, 9, 0, -5, 7, 9]]\nB =\n[[8, 2, -4, -6, -5],\n [-4, 3, 7, 4, -10],\n [2, 3, -5, 0, -10],\n [3, 0, 4, -5, 4],\n [-4, 1, 0, -5, -6],\n [3, -1, -6, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -7, 9, -10, -3, 6],\n [-2, 1, 6, 3, 6, 7],\n [6, 3, -5, 3, -9, 8],\n [-8, 0, -9, -8, 2, -8],\n [-3, -6, -9, -9, -6, 3],\n [-1, 6, -5, 3, 6, 9]]\nB =\n[[-5, -3, -1, 7, -4, 2],\n [-6, 9, 5, -2, -5, 0],\n [2, 4, 3, 10, 10, -6],\n [-6, -7, -10, -7, 9, 6],\n [-4, 9, 5, 8, 7, -10],\n [-4, -7, 5, 3, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-410", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-9, -7, 3, -6, -7, -6],\n [8, -3, 10, -4, 4, -10],\n [-7, 6, -10, -6, -8, 8],\n [-7, 8, 10, 5, 7, 5]]\nB =\n[[-7, -2, -3, 6, -10, -6],\n [-6, 8, -4, 3, -3, -9],\n [7, -5, 4, -2, -3, 3],\n [7, -2, 2, 9, 8, 5],\n [0, 3, -10, 7, 3, 2],\n [7, -4, -5, -2, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-2, 7, 7, -8, 6, -7],\n [9, 1, -9, 8, 7, 9],\n [10, 10, -9, 0, 7, 5],\n [-4, 10, 6, -4, -9, -7]]\nB =\n[[-4, 10, 9, 6],\n [3, -6, 3, 3],\n [-5, 4, 5, 1],\n [-9, -5, 6, 8],\n [4, 3, -8, 3],\n [-3, -4, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -2, 3, -4],\n [-6, -6, 8, -2, 3],\n [-4, 1, 5, -7, 10],\n [10, 6, -4, -7, 8],\n [0, -2, 3, -4, 7]]\nB =\n[[-10, 10, 9, -2],\n [2, 1, 4, 9],\n [-2, 4, -8, -9],\n [-4, -1, -3, 8],\n [6, -7, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 4, -10, -10],\n [7, 7, -2, -3],\n [6, -6, 1, -8],\n [7, 1, -8, -7]]\nB =\n[[-3, 7, -6, 2, -1, 5],\n [0, 3, -8, 3, -4, 7],\n [3, -7, 2, 4, -10, -10],\n [-5, 6, 6, -9, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 4, -5, 3, 5],\n [10, 5, 1, -4, 1],\n [0, -9, 5, 2, 5],\n [6, 4, -7, -2, 7]]\nB =\n[[5, 0, 9, -6, -4, -9],\n [10, -1, -3, -6, -6, 2],\n [6, -7, -4, -7, -2, 9],\n [-6, -2, -4, 9, 0, -4],\n [-1, 8, -1, 5, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -6, -3, -3, 8],\n [-3, 3, 1, 2, 6],\n [1, -9, 6, -2, 4],\n [-2, 2, 0, -3, 1],\n [-2, 3, 2, -3, 3]]\nB =\n[[-2, 2, 1, 1, -9, 8],\n [-10, 4, -5, -10, 0, -4],\n [-10, -3, -1, 4, -8, 6],\n [4, -1, 9, -6, -5, 7],\n [2, -7, 6, 6, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, -5, 8, 8, 7],\n [4, -4, 9, 6, -10],\n [-4, 6, -7, -8, 1],\n [3, -5, -2, 5, -10]]\nB =\n[[10, 3, -1, -9, -6],\n [-6, -9, 6, -2, -6],\n [-6, -7, -2, -8, -8],\n [-8, -3, -10, 9, 1],\n [0, -7, 0, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -5, -7, 1],\n [-6, 2, 3, -8],\n [-10, 3, -2, -6],\n [-9, -6, 3, -7],\n [-2, -6, 5, 5]]\nB =\n[[3, -3, 2, 0],\n [8, 10, -10, 7],\n [6, 2, -4, 9],\n [2, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -3, -2, -1, 9, -3],\n [8, 8, -6, -6, -5, -4],\n [0, -8, -4, -7, 0, -7],\n [9, 0, 4, 6, 1, -6],\n [1, -5, 3, -1, -6, 5],\n [6, -8, 3, -2, -3, 4]]\nB =\n[[3, 9, -5, 6, -9, 1],\n [-3, 5, -8, -6, 4, 4],\n [10, 7, -1, 2, 6, -8],\n [3, 5, -9, 9, -4, 4],\n [10, -7, 9, 5, -6, -7],\n [7, 8, 1, 0, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -1, -8, 4],\n [8, 0, -2, -2],\n [-4, -9, 1, -4],\n [8, 0, 5, -1]]\nB =\n[[-8, 6, 7, 2, 4, 0],\n [-9, -2, 7, 2, -1, -4],\n [-6, -8, 5, 7, 8, -10],\n [3, -9, 8, -8, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 4, -2, 1, -5],\n [-1, -1, -9, 7, -6],\n [3, -4, 4, 5, 9],\n [0, -5, -6, 2, 5],\n [-8, 5, -2, -6, 4],\n [-9, 0, -5, -10, -2]]\nB =\n[[-1, -3, 7, -1, -8],\n [8, 0, -8, 4, 5],\n [0, -9, -7, -9, -9],\n [2, 5, 5, -1, 9],\n [10, -7, -8, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "811", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 4, 10, 8, 8, 1],\n [-1, 9, -8, -10, -1, -10],\n [4, -2, -10, -6, -5, -4],\n [10, -4, 3, -5, 9, -6],\n [-9, 5, 5, -9, 0, 3]]\nB =\n[[1, -10, -8, -4, -9, 1],\n [-4, 9, 10, 10, -9, -1],\n [-8, -9, 0, 7, 6, -8],\n [5, -8, -5, -7, -3, 1],\n [3, 2, 9, -1, 8, -9],\n [-2, 8, 5, -7, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 7, -9, -5, -2],\n [-6, 7, -6, -8, 0],\n [-8, -10, 4, -10, -8],\n [9, 9, -8, -1, 6],\n [2, 10, 7, 2, 9]]\nB =\n[[3, 6, 0, -7, 1, -3],\n [-4, -9, 0, -8, -5, -9],\n [10, 9, -8, 8, 0, 2],\n [-7, -3, -3, 7, 2, -10],\n [6, 1, -7, -5, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-714", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -10, -2, 4, 7, 5],\n [-4, -1, -10, 9, -7, 10],\n [-9, 8, 9, -8, 7, 10],\n [8, 8, -2, -8, 8, -4],\n [-5, -9, 8, -6, -5, 1],\n [1, -3, -9, 5, -3, 8]]\nB =\n[[2, -6, 0, -7],\n [6, 2, 2, -6],\n [1, 7, 8, 1],\n [9, -4, 6, -6],\n [0, 5, 3, 5],\n [-7, 4, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1535", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[5, -2, 4, 3],\n [3, -10, -4, -7],\n [2, -5, 7, 4],\n [2, 1, 8, -9]]\nB =\n[[-5, 9, 6, -1],\n [-5, -6, -7, 6],\n [-6, 6, 7, -9],\n [2, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 8, -2, 9],\n [9, 7, -9, 7],\n [6, -6, -4, -4],\n [-6, 9, 10, -9],\n [-6, 2, -10, -1]]\nB =\n[[7, -10, -6, 9, -9, -3],\n [3, 3, -10, 5, 4, 8],\n [-2, -3, -8, 9, 1, -7],\n [-8, 9, -8, 1, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1976", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-5, 2, -6, -3],\n [6, -3, 6, -1],\n [-8, -5, -2, -2],\n [6, 4, 5, 5],\n [-4, 0, -3, -6],\n [-4, 8, -8, 0]]\nB =\n[[8, -3, 3, -1, 7, 2],\n [-10, 8, 2, -2, -3, -8],\n [-1, 9, -2, 6, -5, 4],\n [-4, 2, 1, 0, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[5, 1, 5, -6, 7, 1],\n [-4, 8, -8, 6, -3, -10],\n [7, 4, 5, -8, -9, -2],\n [10, 5, -6, -4, -10, -4]]\nB =\n[[2, 8, 4, 10, 1],\n [10, -5, 6, 5, -9],\n [5, 3, -3, -5, 4],\n [-10, -4, -7, -10, 0],\n [-3, -7, -1, 2, -8],\n [-2, 10, -3, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -9, -3, -10, -4],\n [7, 0, 9, 8, -8],\n [-1, 4, -10, 2, 1],\n [9, 8, -8, 7, 5],\n [7, -5, 5, -8, 9]]\nB =\n[[-6, 2, -3, -4, -9, 1],\n [10, 1, -10, 8, 6, -5],\n [3, -6, -8, -4, -5, -9],\n [-7, -10, -3, -4, -9, -1],\n [6, -3, 7, -1, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1891", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 3, 10, 10],\n [-9, 3, -3, 0],\n [-6, -3, 1, -5],\n [9, -10, -7, -6],\n [5, -7, -6, 9]]\nB =\n[[-4, -4, -6, -6, -3],\n [0, -6, 8, -5, 8],\n [1, 0, 1, 10, -3],\n [-6, -9, -8, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 8, -9, -3],\n [5, 5, -6, -4],\n [-7, 4, -3, -5],\n [3, -7, 6, 5],\n [-1, -8, 6, 9],\n [9, 0, -2, 0]]\nB =\n[[-4, 7, 9, 1, -3, -7],\n [7, -10, 1, -4, -3, -8],\n [-4, -6, -4, -2, -1, 2],\n [1, -4, -10, -3, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1687", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, -5, -5, 7],\n [0, 0, 5, -10, -3],\n [4, -7, 2, 5, -6],\n [6, -8, 5, -6, 1],\n [-10, -8, -6, -5, -10]]\nB =\n[[2, -1, 10, -2, -7],\n [6, 8, 4, -9, -5],\n [-6, 9, -6, -9, -2],\n [-3, -8, 2, 10, -6],\n [6, -6, -9, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-6, -10, 9, -9],\n [1, -7, 4, 2],\n [0, -10, 3, -6],\n [7, 7, -4, 0]]\nB =\n[[-4, -8, -9, -10],\n [-6, -3, -7, -2],\n [-9, 5, 1, 2],\n [6, 10, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 0, -10, 2],\n [9, 10, 3, 8],\n [-7, -1, -1, 6],\n [-4, 10, 9, -8],\n [-3, -2, 5, 7],\n [0, 1, -2, -6]]\nB =\n[[5, -8, -2, 8, 0],\n [9, -10, 10, -3, -1],\n [-7, 10, -5, -5, -9],\n [-4, 6, -4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, -10, -8, -5, 7],\n [0, 4, -10, -6, -2, -6],\n [4, -5, -1, -10, 6, -6],\n [-10, 5, 6, 3, 3, -2]]\nB =\n[[1, 5, 3, -3, 4, 10],\n [3, 6, -7, 4, 2, 6],\n [-10, -2, -5, 6, 4, 1],\n [4, -4, -1, -2, -2, -6],\n [4, -6, 10, 5, -3, -3],\n [-8, -10, 10, 7, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 8, 2, -6, 7],\n [-2, 5, -5, -6, -5],\n [6, -10, 7, -2, -6],\n [1, -4, 6, 10, 9]]\nB =\n[[10, 5, -3, -6, -10],\n [-10, 1, 8, 1, -7],\n [-8, 7, 10, -5, 0],\n [4, 4, 2, 8, -6],\n [-7, -7, 6, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 4, -5, -2],\n [-4, -10, -9, -8],\n [-6, 3, -8, 1],\n [1, 0, 0, -2],\n [-10, 7, -3, 7],\n [-4, 2, -10, -7]]\nB =\n[[7, 8, 7, -9],\n [3, 0, 1, -4],\n [5, 3, -2, 9],\n [6, -1, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-917", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, -1, -5, 6, 8],\n [-1, -10, -4, 8, -2],\n [9, -7, 5, -9, 2],\n [8, -8, -9, 7, 3],\n [6, 2, -1, -4, 10],\n [-5, 8, 4, 7, 7]]\nB =\n[[-7, 2, -2, 4, 3],\n [-8, 9, -2, -2, 8],\n [6, -8, -1, 9, -2],\n [0, 4, -10, 9, -9],\n [3, -10, -3, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, -7, 10, -6, -1],\n [-8, -6, 9, -4, 6, 10],\n [4, 6, -2, -5, -5, 0],\n [-2, 0, -10, -7, -8, 10],\n [10, 1, -2, -2, 5, -1],\n [-9, -7, -2, -4, -10, 5]]\nB =\n[[-6, 6, -4, -10, -8],\n [9, 10, 2, 3, -10],\n [-7, 5, -4, 6, 4],\n [3, -3, 0, 10, -9],\n [-10, -5, -4, -10, -7],\n [0, 10, 5, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, 6, -3, -1, 10],\n [4, 7, 10, -7, -1, -9],\n [-1, 3, 4, 8, 6, 8],\n [9, 0, -4, -5, -4, 4],\n [-10, -4, 9, -4, -3, 9]]\nB =\n[[3, 4, -6, 3, -3],\n [4, 6, -3, 9, 10],\n [0, 10, -7, -6, -2],\n [7, -10, 7, -3, -10],\n [-5, -10, -7, 6, 1],\n [-7, 7, 6, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 2, 6, 6],\n [1, 6, 2, 4],\n [5, -4, -9, -7],\n [-3, -6, -2, -8]]\nB =\n[[-8, 0, 9, 1, 10],\n [-8, 5, -8, 5, 10],\n [-1, 7, -7, -10, -8],\n [-9, -4, -2, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, -8, 4],\n [5, 1, -6, -5],\n [-4, 6, -7, 2],\n [-4, -9, -10, 1],\n [6, 3, -3, 7],\n [-6, 10, 9, -7]]\nB =\n[[7, 9, 7, 9, -3, 3],\n [-8, -7, -10, -3, 7, -1],\n [-7, 9, -2, 4, -1, 9],\n [0, -9, -9, 9, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2462", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, 7, 4, -9, 7, 5],\n [10, 3, -5, -9, 2, -4],\n [1, 5, -9, 10, 7, 2],\n [0, 5, 8, 3, 8, 2],\n [7, -5, 6, 5, 3, 2]]\nB =\n[[-3, -1, 4, -8, 10],\n [1, -6, 1, -7, -9],\n [5, -6, 8, 5, -1],\n [-6, 2, -6, -3, -2],\n [1, -9, -7, 8, 1],\n [-8, -7, -10, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -8, -2, -2, 8],\n [-9, 1, -6, 8, 3],\n [4, -4, -4, 5, 1],\n [5, 8, -8, 6, 7],\n [2, -1, -10, 6, 0],\n [2, -9, -2, -4, -2]]\nB =\n[[7, -6, -5, 1, -1, -2],\n [-2, -9, -7, -1, -6, 4],\n [-7, 5, -6, 9, 8, -4],\n [10, 6, 1, -9, 8, -10],\n [-7, -10, -5, 2, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 9, -8, 6],\n [2, -3, 5, -9],\n [3, 1, -1, 5],\n [-8, 0, -8, 2],\n [8, 7, 0, 1],\n [6, -7, -4, 3]]\nB =\n[[-6, 7, 7, 2, 6, -10],\n [-9, -10, -8, -6, -8, -4],\n [-6, 5, 7, 3, 0, -2],\n [4, -7, -5, -8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -8, -8, 6],\n [5, 1, -9, 0],\n [10, 2, 6, -6],\n [4, -8, 2, -10],\n [-3, -7, 5, -2]]\nB =\n[[-1, 6, -9, 8, -1, 1],\n [-5, 9, -7, 9, 9, 5],\n [8, -9, -5, 1, -9, 5],\n [-10, -4, -1, -3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 7, 10, 8, -7],\n [-3, 9, 1, -8, 4],\n [8, -1, 7, -6, 10],\n [6, 9, 1, 10, 0],\n [-2, 6, 6, 10, 1],\n [2, 4, -9, 5, 9]]\nB =\n[[-5, 0, -2, -3, 3, 7],\n [4, 8, -1, 7, 1, 6],\n [0, -2, -9, 10, -3, 1],\n [2, -8, -5, 4, -4, 7],\n [0, 7, -10, 2, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 2, -8, 10, 4],\n [-9, -8, 5, 7, -7],\n [2, -9, -1, -9, 3],\n [-10, 1, -9, -1, 6],\n [10, 5, -7, 8, 10],\n [-4, 6, -10, -8, 0]]\nB =\n[[-10, -3, 4, 1, 9],\n [7, -4, 7, -1, -6],\n [10, 8, 10, -6, -4],\n [-4, -7, -7, 10, 4],\n [-4, -2, 9, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-466", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -8, 8, -5, -10, -4],\n [-5, 9, 4, -6, -7, -6],\n [-6, 1, -8, 8, 3, 8],\n [9, -5, -9, 4, 1, 10],\n [-2, -5, -8, 2, -8, -10]]\nB =\n[[6, -7, -6, 2, -6, -8],\n [10, -9, -10, 0, -4, 2],\n [-6, -2, -9, -4, 10, 6],\n [-10, -1, 8, 0, -10, -8],\n [5, 5, -3, 7, -7, 0],\n [-3, 1, -3, -10, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-2, -6, 4, 5],\n [-2, 9, -1, -10],\n [-7, -4, 8, -1],\n [-3, 1, -2, 6]]\nB =\n[[6, -3, -8, 9],\n [-9, 9, 0, 3],\n [-10, -6, 0, -7],\n [3, 7, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -6, -6, 1, -3],\n [6, 4, -6, -5, 8],\n [-4, -4, 5, 5, 1],\n [4, -5, 7, -2, 2],\n [-8, -8, 4, 9, 6]]\nB =\n[[3, -5, 7, -5, 7, 0],\n [9, -7, -2, 8, -1, 6],\n [6, 4, 5, 8, 10, -8],\n [6, -6, -6, 6, -1, 10],\n [1, -4, -5, 7, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 9, -7, -5, 10, -5],\n [5, 9, -2, -3, 6, -3],\n [1, 3, -10, 10, -3, 10],\n [-3, -1, -1, 9, 7, 7],\n [9, 2, 6, -2, -6, 3],\n [-3, 0, 7, -10, -5, -10]]\nB =\n[[1, -5, -8, 8, 9],\n [1, -5, 4, -6, -5],\n [-2, -8, -3, -4, 0],\n [-7, 3, 1, -5, 6],\n [1, 6, 5, -9, -1],\n [4, 7, 9, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 4, 5, 7],\n [-6, 2, -3, 6],\n [-3, -7, -3, 7],\n [-10, 5, 7, 10],\n [1, 3, -10, -7]]\nB =\n[[0, -9, 7, 2, 0],\n [-5, -9, -4, -4, 2],\n [-2, 9, -6, 2, -3],\n [8, 1, 6, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[4, 9, -3, -2, -4, 10],\n [-8, -10, 3, 0, 5, 4],\n [-8, 6, -8, -7, 2, 3],\n [4, 7, 3, 0, 1, 1],\n [1, -1, 2, 0, -10, 4]]\nB =\n[[0, 1, 0, 9],\n [5, 7, 1, 10],\n [-1, 4, -4, -1],\n [-3, 10, -3, -9],\n [5, 3, -8, -8],\n [-8, 4, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 1, 7, -4, -9, 2],\n [8, 4, 2, 10, 3, -9],\n [-7, 8, 9, -5, 6, 7],\n [-2, 7, 5, 0, 9, 4]]\nB =\n[[1, -9, -6, 4],\n [3, -5, 5, 0],\n [2, -4, -9, 9],\n [1, -4, 0, -6],\n [9, 0, 5, -4],\n [-10, -5, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -9, 5, 1, 6],\n [9, -1, 0, 8, 9],\n [-8, 6, -7, -2, 9],\n [-5, 7, 0, -5, 3],\n [10, -6, 2, 5, 8],\n [8, 5, 4, 9, -10]]\nB =\n[[-5, 1, -10, -9, 2],\n [10, -10, 3, -6, 6],\n [4, -7, 10, -6, 4],\n [8, 5, 3, -10, 10],\n [-1, -8, 6, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 5, 9, -1, 10, 4],\n [7, 2, 7, 2, 10, 4],\n [0, 5, -1, 9, 5, -6],\n [-3, 6, -9, 4, 10, -9],\n [1, 0, 4, 3, 2, 1],\n [-2, -4, 8, -9, -3, -1]]\nB =\n[[-2, 0, 7, 5],\n [-1, 10, 6, 4],\n [1, 0, -8, -8],\n [1, 0, 3, -4],\n [8, 4, -8, -8],\n [-6, -1, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-2, 3, -4, 3, -8],\n [0, 9, 4, 6, -5],\n [-7, -10, 0, 9, 9],\n [3, 4, 1, 7, -9],\n [-5, 7, 8, -6, 9]]\nB =\n[[4, 8, -7, 3],\n [1, -4, -1, -2],\n [4, -5, 2, 9],\n [-9, 5, 0, -6],\n [-6, -3, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -5, 7, -4, -6],\n [9, -5, -9, 10, -1],\n [-3, 5, 4, -7, 2],\n [1, -8, -4, -2, -10],\n [-1, 1, 2, -1, -10]]\nB =\n[[2, -9, -4, -3, -3],\n [-7, 10, 8, -10, 7],\n [-8, -7, -9, -4, 10],\n [4, 9, 3, 7, 4],\n [2, -5, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 3, 0, -3, -1, 6],\n [7, -4, -1, 6, -6, -6],\n [4, 9, 1, 10, 8, 9],\n [5, -2, -10, -9, 10, -1]]\nB =\n[[-5, -10, -2, 4, 3],\n [-8, 7, 2, 3, 3],\n [-4, 4, -5, -5, -8],\n [-3, -6, 10, 3, 1],\n [3, 3, 0, -4, -1],\n [3, 6, 6, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1189", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 7, 6, 10, 2, 8],\n [2, -6, -7, 9, -4, 3],\n [-5, 0, 2, -3, -3, -6],\n [0, -1, 2, 3, 1, -4]]\nB =\n[[3, -3, -1, 10],\n [9, 3, 1, -3],\n [5, 0, 9, -1],\n [7, 1, 6, -2],\n [2, -1, -6, -7],\n [3, 8, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, -8, -4, -7, 7],\n [-5, -2, 3, -7, -3, -4],\n [-9, 0, -5, 0, 3, -10],\n [1, 3, 7, 8, 7, 3],\n [0, -6, 9, -8, 6, -1],\n [9, 5, -3, -3, -7, 6]]\nB =\n[[3, -4, 3, 9, -4],\n [1, 5, -8, 3, 1],\n [-5, -1, 7, -4, -3],\n [7, 7, -5, -6, 0],\n [6, 4, 5, 3, -2],\n [-8, 1, 8, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -9, 10, -8],\n [-8, 3, -8, -7],\n [-2, -9, 8, 5],\n [5, 9, 6, -9]]\nB =\n[[-7, -6, 8, -3, 9, 4],\n [8, -2, 1, -9, -8, 2],\n [8, -10, 3, 5, -2, -3],\n [6, 8, 7, 7, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1665", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, -6, -10, 10, 8],\n [3, -7, -2, 10, -2, -2],\n [10, -10, 10, -3, 1, -5],\n [-1, -1, -9, 0, -10, -9],\n [6, 0, -7, 5, -5, 5]]\nB =\n[[3, -2, -7, 4],\n [-10, -3, -8, 10],\n [3, -10, 5, 5],\n [4, -6, 1, -10],\n [10, 4, 2, 7],\n [-5, -2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -6, 6, -8, -3, 6],\n [4, -2, -2, 6, -3, -8],\n [10, -5, 8, -10, -3, 3],\n [-3, 5, 3, 9, -6, -8],\n [-3, 3, -1, -9, 0, 1],\n [-6, 5, 4, 7, 7, -5]]\nB =\n[[-6, 1, -7, 8],\n [3, 3, -2, 9],\n [-3, 8, 9, -1],\n [4, 2, -7, -7],\n [5, -3, -2, -1],\n [9, 8, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1187", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, -9, -3, 8, 9],\n [7, -1, -4, -2, 4, -6],\n [4, -2, 6, 3, 7, -6],\n [1, 1, -3, -6, 7, -7],\n [-5, 2, -8, 2, 4, 7]]\nB =\n[[-9, 3, 8, 4, -9, -8],\n [9, 1, -5, 2, 8, 10],\n [-3, -4, -5, -1, -1, 1],\n [9, -2, 1, -3, -4, -10],\n [0, -8, 5, 2, -3, -7],\n [5, 9, -8, -3, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1952", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -3, -9, 9],\n [2, 9, 4, 0],\n [-5, 9, -1, 7],\n [-10, 0, -3, -6],\n [7, 2, -6, -6]]\nB =\n[[2, 5, -8, -10, -2],\n [4, -8, 9, 3, 8],\n [1, -5, 6, -4, -9],\n [10, -9, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1718", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-10, -4, 1, -5, 0],\n [0, -8, 9, 10, 5],\n [-1, 6, 4, 4, -1],\n [-4, 2, 7, -8, 10],\n [7, 4, -7, -6, 10]]\nB =\n[[8, -1, 6, 4, 7],\n [8, -2, -10, -9, 9],\n [6, -10, -8, -7, -3],\n [-10, 10, -1, -9, -6],\n [-8, -5, 4, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 1, 3, -5, -1],\n [0, -6, 5, 3, -8],\n [-2, -1, 4, -8, -6],\n [-10, -9, 4, 6, 5],\n [-3, -10, -10, -4, 1],\n [-2, 6, -5, 3, 9]]\nB =\n[[-1, -3, -7, 10, -3],\n [-10, -3, 7, -6, -8],\n [0, 3, 6, 0, -5],\n [4, -5, -10, -5, -5],\n [-6, 4, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "597", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, -3, -10, -8, -9],\n [8, -7, 0, 0, -10, 7],\n [6, -4, -1, 7, 0, -3],\n [-10, -5, -2, 6, -5, 1],\n [-2, 8, -6, -2, -4, -1]]\nB =\n[[3, 4, 7, -2, 7, 9],\n [6, -5, 9, -3, 9, -7],\n [3, 0, 6, 10, -2, -10],\n [8, 9, 10, 0, -10, 7],\n [4, -2, 5, -1, -8, -7],\n [-9, -5, 1, -9, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[3, -7, -5, 9, 0],\n [5, 1, 1, 4, -1],\n [6, 9, 8, -8, 3],\n [6, 3, 7, 0, -9]]\nB =\n[[2, -6, 8, -3],\n [-7, 6, 10, 3],\n [5, 7, 0, -6],\n [2, 3, 10, -2],\n [-2, 0, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 1, -6, 10],\n [5, -1, 8, 6],\n [-9, 1, -8, -6],\n [-1, 10, 4, 4]]\nB =\n[[4, 0, 7, 1, 10, -6],\n [-7, -8, 0, 6, 10, -3],\n [4, 1, 4, -2, 0, -8],\n [6, 7, 7, 9, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, -10],\n [-2, -8, 3, -3],\n [-6, 9, 7, 6],\n [2, -4, -6, -8],\n [4, -9, 10, 2],\n [-9, -2, -3, 5]]\nB =\n[[-9, -8, 0, -1, -7, 7],\n [10, 10, 9, 8, 4, 7],\n [5, 4, 9, 3, 0, -3],\n [-1, 2, -1, -10, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -5, -9, 2, -10],\n [8, 7, 0, -4, -9],\n [3, 1, -1, 2, -9],\n [-1, -2, -7, -4, -1]]\nB =\n[[-10, 4, 8, 9],\n [9, 0, 5, 2],\n [8, -9, 2, 5],\n [-8, 6, 8, -8],\n [2, 8, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[-3, 6, -3, -6, 1],\n [6, 10, -8, 10, -8],\n [9, 10, -7, -4, 5],\n [-6, 6, -1, -2, 1]]\nB =\n[[6, 8, 8, 6, 6, -6],\n [4, 9, -1, -10, -1, 3],\n [-9, -10, 8, -6, -8, 6],\n [-8, -10, -9, -10, -2, -6],\n [3, -10, 3, 1, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 8, 2, 9, -9],\n [-8, 10, 8, -3, 0],\n [-1, -8, -6, 8, -8],\n [-3, 6, 6, 0, 1],\n [0, -5, -7, -10, -6],\n [-8, 5, -6, 5, -10]]\nB =\n[[5, 4, 4, -7],\n [-8, 10, 5, -6],\n [-6, -9, -1, 2],\n [4, -2, 5, 3],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 2, 1, 9, -10, -4],\n [-1, 8, 3, 1, 2, -7],\n [7, -10, -6, 6, 9, 0],\n [-2, 2, -4, -8, -5, -2]]\nB =\n[[-8, 0, 5, -4, -1],\n [-9, 5, -1, -8, 6],\n [2, -2, -3, -6, 1],\n [-9, -2, -3, 2, 10],\n [0, 8, 9, -6, 2],\n [-8, 2, 2, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 4, 1, -1, -5],\n [-7, -8, -6, 2, 2],\n [6, -9, -8, -9, 8],\n [9, 5, -5, 5, 7],\n [-10, 1, 1, -2, -2]]\nB =\n[[-7, 7, 2, -9],\n [0, -8, 4, -8],\n [-7, -7, 2, 9],\n [4, 1, -5, 3],\n [10, -7, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 9, -2, 6],\n [-7, 9, -8, -3],\n [-4, -5, -3, -4],\n [6, -1, 8, 1],\n [-5, -3, 8, -5],\n [-9, 3, 9, 4]]\nB =\n[[9, 2, -4, 1, -8],\n [9, 9, -8, 7, -6],\n [8, 6, 2, -10, 10],\n [-1, -9, 0, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 0, -8, 7, -2, 1],\n [-7, 3, 5, 0, 6, 5],\n [-6, 7, 0, -1, 10, -3],\n [-7, -9, 4, 1, -8, 4]]\nB =\n[[-3, 1, 4, -3],\n [8, 0, -5, 10],\n [7, -3, 1, 5],\n [2, 2, 0, 4],\n [9, -9, -3, 0],\n [4, 0, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[0, -5, 10, -5, 8],\n [-1, 1, 5, 8, 8],\n [-6, -4, 3, 3, -5],\n [1, -6, 9, 0, -10],\n [0, -7, 2, 3, 10],\n [-3, 8, 3, -8, -5]]\nB =\n[[-4, 2, -4, 5],\n [-6, -8, 5, -3],\n [1, -4, -6, -7],\n [8, 6, -5, -2],\n [-9, 10, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-3, 9, 6, -10, 4, 10],\n [-3, -3, -2, 2, -4, -1],\n [6, 6, 6, -10, 7, -9],\n [-5, 1, -10, -1, -4, -5]]\nB =\n[[9, 8, 0, 0, 6],\n [-6, 3, 1, -8, -6],\n [-3, -10, 0, 4, -10],\n [-6, 4, -3, 1, 1],\n [-4, 10, 1, 10, -4],\n [-5, 8, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-6, -8, 7, -2],\n [0, -8, -10, 10],\n [1, 2, 5, -4],\n [-6, 10, 3, -10]]\nB =\n[[-8, 5, -5, -1],\n [3, 3, 5, -3],\n [-2, -3, -4, -1],\n [-6, 7, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 2, 7, 10],\n [1, -5, 5, 3],\n [-3, -4, -10, 10],\n [4, 5, -8, -10]]\nB =\n[[-2, -4, 9, -6, 2, -6],\n [-3, 7, -9, 10, -4, -7],\n [-3, 9, 0, 10, 0, 6],\n [-2, -10, 10, 1, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-1, 6, -1, -7],\n [-4, 2, 0, -8],\n [0, 7, -9, 7],\n [0, 10, -10, 3],\n [-9, -7, 4, -6]]\nB =\n[[0, 8, -7, -8, 0],\n [-4, 0, 4, 2, -9],\n [0, 1, 2, -1, 7],\n [-8, 5, -8, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-1, -6, 4, 2, 8, 8],\n [9, 8, -2, -9, -8, 6],\n [2, 4, 7, -8, 0, 1],\n [10, -6, 6, -9, -3, 10],\n [-9, 1, -8, 4, 3, -7]]\nB =\n[[5, -8, -9, 1, -8, -10],\n [-5, -5, -3, -6, 0, -9],\n [-2, -1, -4, 9, -2, 2],\n [5, 4, -6, -1, 10, 2],\n [-10, -7, -1, 1, -10, -9],\n [-10, -10, 9, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[7, 6, 1, 7, 10],\n [-8, 9, 6, 10, 7],\n [-3, -8, 6, -8, -1],\n [-6, 3, 9, 8, -8]]\nB =\n[[6, -6, 4, -3, 0, 9],\n [8, -5, 3, 5, 4, -9],\n [0, 7, 8, -10, -7, 8],\n [4, 0, 7, 2, 5, -9],\n [3, -7, -8, 3, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[10, -3, -2, 5, 7],\n [-8, -7, -3, -6, -1],\n [5, 1, -1, 1, 9],\n [-7, 8, -10, -8, 1],\n [-4, 2, 7, 6, -6],\n [1, -8, 9, 10, -7]]\nB =\n[[-7, 1, -3, 7, 10, 5],\n [-10, 6, -5, -8, -7, -3],\n [-5, -7, 2, -9, 7, -5],\n [-3, 4, -8, -4, 8, -2],\n [-5, -7, 3, -10, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, 8, -10, -1, 2],\n [10, 10, 6, 7, -10, -9],\n [-6, 0, -9, 0, -8, -4],\n [-1, 4, -5, -8, -4, -6],\n [-10, -7, 6, -3, 7, 9],\n [-2, 0, -3, 6, -6, 8]]\nB =\n[[-2, 2, 3, 5],\n [-10, 8, -10, -7],\n [-4, -1, 10, 7],\n [6, 8, -5, 3],\n [6, -3, 6, -9],\n [6, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 5, 10, -2, -7, 9],\n [10, 2, 1, 0, 7, 6],\n [-3, -10, 2, -8, -8, -8],\n [-7, -9, -9, 10, 6, 3]]\nB =\n[[9, 0, -8, 1, -1],\n [-7, -1, -9, 9, -9],\n [-4, -10, -9, -6, -8],\n [6, 3, -8, 6, 10],\n [2, -10, -2, -9, -9],\n [-9, 10, -6, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -9, 3, 7, -3],\n [-7, -4, -3, 10, -5],\n [9, -10, 1, -1, 7],\n [-9, -1, -10, 2, -7],\n [-2, -8, -5, -6, 0]]\nB =\n[[5, 10, 3, -5, 10, -9],\n [5, 8, 4, 5, -3, 4],\n [-4, 10, -6, 5, 10, 5],\n [7, 3, 3, -10, -7, 2],\n [-4, 7, -3, 2, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1092", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, 3, 6, 4, -2, -5],\n [9, 4, -1, -6, -3, -7],\n [8, -1, -3, 2, -5, -6],\n [9, -4, 9, 1, -2, 7]]\nB =\n[[-2, -9, 8, -1],\n [6, -2, -7, 10],\n [9, -9, -4, -8],\n [-3, -6, -4, -1],\n [-10, 2, 4, -7],\n [8, -5, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -3, -8, 0, -7, 3],\n [-7, -4, 1, 2, -9, -1],\n [-9, 9, 0, -8, -7, -7],\n [9, 7, -4, -10, -8, 6],\n [-3, 9, -4, -7, 7, 9],\n [-9, -3, -9, 9, 6, 8]]\nB =\n[[7, -3, -6, -4],\n [-3, 4, 6, 1],\n [0, 8, 0, 1],\n [5, 3, -10, -10],\n [9, -1, -1, -8],\n [1, 1, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -9, -1, 4, -8],\n [-7, 8, 3, -1, 10],\n [6, 7, 3, 10, -10],\n [5, -7, 9, 3, 1],\n [9, 6, 9, 5, 7]]\nB =\n[[-8, -8, -10, -4, 9, 10],\n [5, -4, 3, -3, 6, 5],\n [0, 3, -1, -5, 10, 6],\n [10, -8, -9, 4, 4, 9],\n [-2, 1, -9, -8, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 2, -3, 0, -9, 4],\n [-10, 0, -7, 1, 2, 4],\n [-7, -3, 1, 6, 3, -1],\n [2, -8, 8, 1, 7, -3],\n [-10, 5, -3, -8, -7, 8]]\nB =\n[[-10, 9, -5, 5, 9, -8],\n [-10, 4, -3, 3, -6, -1],\n [-8, 9, 3, -10, -1, 6],\n [0, -9, 4, -5, -2, -2],\n [7, -3, 2, 0, 4, -10],\n [6, 5, -1, 3, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 6, -7, -1],\n [-5, 1, 6, 2],\n [-10, 3, 3, -1],\n [5, 1, -10, 2],\n [5, -7, 10, -6]]\nB =\n[[4, -5, -9, -5, -1],\n [3, -1, -3, 3, -7],\n [4, -9, -3, -3, -10],\n [-2, -2, -1, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 9, -4, -7],\n [5, -3, 8, 4],\n [-8, 7, 9, 4],\n [6, -5, -5, 4]]\nB =\n[[-3, 2, -10, -6, 3, 1],\n [8, -9, -6, -1, 1, -10],\n [-6, 1, -5, 1, -1, 5],\n [5, -2, -7, 4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 5, 7, 0, 7],\n [-10, 4, 2, -6, 0],\n [-9, 5, 4, -2, 8],\n [9, -9, -6, -3, 9],\n [4, -5, -1, 8, 7]]\nB =\n[[-7, -1, 3, 1, 6],\n [-3, -1, 6, -9, 2],\n [-8, -10, 3, -2, 4],\n [4, -7, -8, 9, 10],\n [-1, 4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1292", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, -5, 0, -10],\n [1, -1, -5, -10, -6],\n [-1, 1, 1, 8, 3],\n [9, 6, -3, 9, 4]]\nB =\n[[-4, 10, 6, -5, -10],\n [5, 9, -4, -2, 2],\n [7, 6, -8, 7, -6],\n [4, 0, -2, -5, 5],\n [-7, -1, -6, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -8, 8, 7, 2],\n [8, -2, -4, 2, 2],\n [1, 7, -5, -7, -7],\n [7, -2, 6, -6, 7],\n [-4, 10, 5, -4, -2]]\nB =\n[[-6, 7, 2, -10, -1],\n [-1, 3, 9, -8, 7],\n [2, 5, 8, -5, -6],\n [3, -3, -5, 3, 4],\n [10, 8, -7, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -10, 4, 9, -4, -5],\n [2, 6, 6, -2, -4, 8],\n [5, 6, 5, -7, -10, -8],\n [-5, 6, -2, -8, -1, 3],\n [0, -1, -10, -5, 8, 2],\n [10, 7, 1, 3, 5, -4]]\nB =\n[[-2, 7, 3, -10, 5],\n [5, -10, -4, -4, 8],\n [2, 8, -8, -4, 0],\n [4, 9, 6, -2, -2],\n [7, 8, 1, -6, 7],\n [-2, -5, 2, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 1, 1, -3, 7, 7],\n [3, 3, -8, -8, 3, -9],\n [6, -8, 8, -4, 5, -4],\n [-1, 2, -3, -4, 0, -5],\n [3, 5, -4, -7, -7, 2],\n [1, -7, -8, -4, -2, -6]]\nB =\n[[3, 10, 7, -5, -9, 0],\n [-3, -9, -8, -1, -5, 6],\n [-4, -9, 1, -8, 6, 5],\n [7, 5, -1, -10, -1, 4],\n [-3, 6, -6, 7, -4, 2],\n [7, -3, -6, 8, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-9, 2, 5, 9, 10],\n [9, -6, 3, -7, -7],\n [8, -5, 3, 3, 1],\n [-2, -8, 5, -2, -8]]\nB =\n[[6, 10, 1, 1, 2],\n [-10, -7, -5, 2, 0],\n [-9, 4, -2, 10, 10],\n [-8, -9, -3, 1, 4],\n [-2, -2, 3, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -10, 7, -7, -4, 6],\n [-8, -7, 0, 0, 5, 10],\n [0, 2, 5, -7, -10, 3],\n [7, -6, -8, -8, 7, -6]]\nB =\n[[-2, 4, -4, -2],\n [7, -9, 4, 0],\n [-4, -6, 6, 7],\n [6, -4, -1, -7],\n [1, -5, 9, 2],\n [-5, -9, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 9, 0, -9, -3, 9],\n [1, -2, -7, -2, -6, 8],\n [6, -1, -1, 6, 7, 3],\n [-10, -8, -2, 10, -5, 2],\n [0, -3, 5, 2, 1, 5],\n [-5, 4, -3, -1, 6, 2]]\nB =\n[[8, 5, 5, -5, 4, -1],\n [-8, 3, 4, -2, -10, -1],\n [0, -1, 9, 4, 8, -6],\n [6, -1, 5, 10, 3, 3],\n [-9, -5, -1, -1, -7, 2],\n [-2, -1, -1, -4, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 7, -3, 10, -1],\n [10, -1, -2, -2, 7],\n [2, -4, -7, 8, -6],\n [5, -7, -9, -1, -6]]\nB =\n[[-8, 5, -4, 1, 6, -5],\n [-3, -6, 7, 9, -6, 6],\n [-2, 9, 5, 7, 9, 0],\n [-10, 3, 10, 6, 10, -8],\n [4, -3, -3, 5, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1552", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -6, 5, 4, -4, 10],\n [9, 4, 6, 7, 3, 4],\n [10, -3, -5, -9, -9, -7],\n [4, 7, -5, -10, -10, -6],\n [3, 6, -9, 10, 0, 8]]\nB =\n[[8, 3, 6, -5, -2],\n [-1, -2, -2, -8, -10],\n [-3, -2, 7, -1, -10],\n [-10, 6, 4, -3, 3],\n [-3, 7, 4, 6, -9],\n [-4, -1, -2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[10, 6, -10, 2, 1, -2],\n [5, -1, 0, 9, 5, 4],\n [-4, 6, 2, -1, -7, 4],\n [9, 4, 7, 9, -2, 5]]\nB =\n[[-3, 7, -8, 5, 2],\n [2, 10, -6, -9, -2],\n [0, 7, -3, -1, -8],\n [5, 9, -10, 3, 2],\n [-9, 1, 8, 8, -5],\n [6, 3, -2, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 0, -4, 5, 5],\n [-1, -4, -3, -9, 4],\n [-10, 5, 2, 8, -4],\n [0, -10, -8, -10, 1],\n [1, -5, 3, -10, 0],\n [-6, -4, 10, 7, 9]]\nB =\n[[-1, 8, -6, -2, -9, 0],\n [6, 3, -5, 7, 2, -6],\n [-6, -8, 8, -3, 3, 4],\n [-5, 5, -2, 4, -3, 3],\n [-7, 5, -6, -1, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -10, -5, -3, -10],\n [4, 6, -1, 3, 4],\n [3, 1, 1, 7, -6],\n [2, 10, -5, -4, 1],\n [-9, 7, 3, -10, 3]]\nB =\n[[-2, 6, -9, 10],\n [-10, 7, 10, 2],\n [6, 10, 4, 7],\n [10, 8, -4, -3],\n [-5, -8, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -3, 3, -3, 4, -3],\n [4, 8, 5, -3, -1, 6],\n [7, 4, -1, -1, -6, 6],\n [-2, -9, 5, -4, 5, -9]]\nB =\n[[-7, 10, -7, 0],\n [2, -2, -1, -2],\n [4, -9, 10, -8],\n [4, -10, -5, -4],\n [-9, -4, 5, 0],\n [9, -8, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-329", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, 4, 1],\n [-6, -5, -2, 4],\n [0, -8, -1, 8],\n [-6, -9, -5, -3],\n [-6, -3, -9, 4],\n [-4, 9, -3, -7]]\nB =\n[[-9, 0, 8, 7, 7, 7],\n [-1, -8, 5, -5, 5, 6],\n [2, 0, -1, 7, -7, 10],\n [-8, 9, -4, -2, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2020", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -1, 4, 2, -6, -1],\n [-4, 7, -4, 7, 5, -6],\n [-3, -6, -7, -7, -9, -9],\n [4, 1, 7, -1, -9, -1],\n [8, -6, 9, -6, 8, 10]]\nB =\n[[2, -6, 6, -5, 2, -2],\n [4, 2, 4, 3, -4, 6],\n [1, -5, -9, -4, 1, -5],\n [-9, -6, 3, 3, 9, 5],\n [-3, -1, 10, 9, -4, 2],\n [-8, -9, 6, -8, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-366", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[5, 3, 10, -3, -7],\n [7, 0, 7, 2, -1],\n [-9, 7, 6, 10, 2],\n [1, -1, -6, 10, 8]]\nB =\n[[-5, -4, -6, -10],\n [2, 5, 4, -5],\n [3, 4, 9, -1],\n [8, -4, -4, -9],\n [6, -1, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[7, 8, -9, 2, 5, -2],\n [8, -5, 9, -10, 2, -2],\n [7, 10, -8, -6, 5, 3],\n [9, -1, 6, -7, -1, -6],\n [-3, 8, 8, -1, 2, -5]]\nB =\n[[-2, -10, 0, -4, 3],\n [-3, -4, -3, 3, 10],\n [-5, -8, -5, -5, 2],\n [-8, 9, 6, -2, -7],\n [-9, 1, 10, -9, -8],\n [8, -10, 6, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, 5, 4, 5, -2],\n [7, -9, 7, 0, -9, 0],\n [4, 0, -6, 5, -3, -9],\n [8, 9, -7, -8, -9, -3],\n [6, 5, 7, 7, -9, -3],\n [-3, -3, 5, -6, 7, -8]]\nB =\n[[-5, -5, 0, -2, 8],\n [-10, 8, 2, 2, -4],\n [1, 8, 7, 7, 7],\n [-6, 10, 2, -3, 9],\n [10, -9, -5, 8, -2],\n [10, -1, 10, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, -6, 10, -2, -5],\n [-5, 6, -4, -4, -4, 10],\n [4, -9, 8, 8, -3, -9],\n [0, -2, -3, -4, 2, 7],\n [10, -7, -3, -8, 4, 4]]\nB =\n[[4, 4, 10, -7, 4],\n [4, 4, -5, -5, -3],\n [-6, -3, -8, -8, -7],\n [-8, -10, -4, -2, -7],\n [-1, 3, -3, -10, 7],\n [8, -6, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[-1, -10, -4, 9, -10, -1],\n [10, 4, -6, -10, 7, -8],\n [-2, -2, -6, 8, 1, -4],\n [4, -4, 9, -4, -1, -9],\n [1, -2, -2, -6, 2, -7],\n [6, -10, 10, -1, -7, 2]]\nB =\n[[-3, -5, 4, 4, -3],\n [-6, -9, -9, 8, 10],\n [6, -10, -1, 2, -8],\n [1, 4, -5, -10, 5],\n [6, 7, 0, 6, 4],\n [-9, 4, 8, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -2, -2, 1, -10],\n [7, -2, 3, 9, 4],\n [9, 0, -9, 2, -3],\n [8, -9, 3, -6, -5],\n [8, -10, 5, 7, -9]]\nB =\n[[3, -9, 0, -2, -9],\n [-8, -10, 1, 3, 4],\n [-10, -10, -9, -6, 0],\n [1, -4, 1, 9, 8],\n [8, 4, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -10, -1, 10, -2, -9],\n [-4, 10, 7, 10, 10, 6],\n [-7, -6, 6, 2, -4, 10],\n [-9, -5, 5, 10, 9, -5],\n [3, -1, 1, -4, 0, -2],\n [1, -10, 6, -4, 5, -4]]\nB =\n[[0, 10, -6, -9, 9, 7],\n [-2, 2, -1, 1, 0, 6],\n [-2, 9, -6, 8, -2, -5],\n [-6, -9, 1, 0, -1, -3],\n [8, 3, -9, 1, -5, 10],\n [0, -9, 5, 10, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2906", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -2, 1, 2, 1, -1],\n [2, 10, 8, 6, 5, -4],\n [7, 1, 6, 8, 0, 9],\n [-8, -7, 7, 9, 1, 10],\n [9, -7, 7, 6, 6, -8]]\nB =\n[[3, -1, -7, 5],\n [8, 4, -3, 6],\n [-7, -8, 5, 0],\n [-1, 6, -9, -10],\n [-1, -8, 9, -6],\n [10, -3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-823", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 5, -10, -3, -4, -10],\n [-6, -3, 10, -2, 6, 4],\n [8, -4, 4, -10, 4, 1],\n [-1, 5, 9, 9, 6, 5],\n [-4, -4, 8, -10, -1, -7],\n [1, 7, -6, -4, -1, 1]]\nB =\n[[-2, 9, -10, 1, 10, -9],\n [-10, 1, -4, 10, -10, 6],\n [-5, 2, 7, -3, 1, -9],\n [-5, 1, 4, 3, 0, 4],\n [-6, -3, -1, 5, 5, -7],\n [2, -6, 3, -3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[4, 1, -4, 2],\n [-10, -1, 3, 1],\n [6, 1, -5, -5],\n [2, 10, 8, -6]]\nB =\n[[1, -3, 7, -1],\n [-10, -3, -10, -8],\n [-1, 8, -6, -2],\n [-4, -4, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -7, 3, -8],\n [4, -8, 2, -9, 0],\n [3, -10, 6, 1, 1],\n [10, -9, 6, 1, 6]]\nB =\n[[-5, 7, -7, -10, 9, -2],\n [0, -10, 7, -5, -1, 9],\n [2, -5, 3, 7, 4, 7],\n [7, 2, 10, 5, 8, -6],\n [2, 3, 2, 6, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[0, 4, -1, -8, 1],\n [3, 9, -7, -7, 5],\n [2, -1, -1, -3, -3],\n [-9, 6, 7, 3, 4]]\nB =\n[[0, 3, -7, -6, 5, 9],\n [-9, 6, -6, 5, -3, -5],\n [5, 2, 5, -1, -3, 4],\n [4, 7, -7, -10, 7, -9],\n [4, -5, 2, 5, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -2, 9, 6],\n [-1, 3, 2, -1],\n [5, 3, -1, 6],\n [7, -3, 5, -5]]\nB =\n[[6, -5, -10, 4],\n [3, 2, -2, 5],\n [-1, 6, -9, 8],\n [-3, -5, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 7, 3, -5],\n [-3, 3, -6, -8],\n [1, 4, 3, -4],\n [4, 9, 9, -6]]\nB =\n[[4, 2, -5, 6],\n [3, 1, -1, -10],\n [3, 6, 10, -4],\n [-5, 8, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 4, -2, -3],\n [-9, -7, -3, 5],\n [8, -3, 9, -7],\n [-3, 2, 2, 10],\n [-2, 6, 0, -8]]\nB =\n[[9, 9, 1, 4, -3],\n [-8, -5, 9, 1, 2],\n [1, 3, -2, -5, 5],\n [-7, -6, -9, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 9, 6, -4, 6],\n [-3, 5, 6, -8, -6],\n [2, 5, -2, 8, -7],\n [-1, 3, 7, -4, 7],\n [6, -1, -9, 8, 1],\n [-5, 10, -5, -6, -9]]\nB =\n[[-3, -10, -2, -6, 3],\n [3, 10, -10, -7, -2],\n [-4, 10, -3, 10, 9],\n [-4, -3, -1, -8, 4],\n [-8, -5, 7, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, 6, 4, 6],\n [4, -8, 6, -4, -4],\n [3, 3, 1, -4, 3],\n [3, -5, 6, 5, -5],\n [-10, 9, 10, 1, -6]]\nB =\n[[0, -4, 4, 4, -9, 10],\n [10, 3, -3, 8, 10, 6],\n [-1, -2, 8, 1, 3, -1],\n [7, 9, 5, -5, 2, 7],\n [-6, 4, -9, -4, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 2, 6, -3],\n [-9, 3, 4, -6],\n [0, 8, 7, 9],\n [6, -4, 4, 9],\n [6, 8, 10, -10]]\nB =\n[[10, -6, -7, -6, 3],\n [1, -7, 3, -5, 3],\n [-10, -9, -4, -10, -7],\n [8, 5, -2, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-7, 6, -6, 8, -6],\n [0, 0, 4, 3, 3],\n [8, 1, -8, -2, -7],\n [-5, -8, -2, 9, 5]]\nB =\n[[2, 3, 8, 10],\n [4, -7, 10, 10],\n [9, -5, 3, -6],\n [-9, -9, -2, -8],\n [10, -1, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[2, -3, -5, 0],\n [-4, -1, -3, 8],\n [2, 6, 3, 8],\n [6, 3, 9, -7]]\nB =\n[[6, -1, -1, -7, 0],\n [1, -7, -7, 2, -8],\n [-5, -7, 8, -1, -3],\n [0, 6, -9, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 6, 1, 5, 8],\n [8, 1, -5, 10, 3, 2],\n [-1, -7, 10, -1, -5, 6],\n [4, -5, -1, 3, 1, 3]]\nB =\n[[8, 0, -9, -4],\n [9, -5, -7, 6],\n [-10, -9, -10, -7],\n [-8, -2, 9, 8],\n [-9, 6, 2, 6],\n [3, -10, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 2, -6, -5],\n [-8, -9, 9, 5],\n [-8, 8, -9, 8],\n [-10, -8, -1, -9]]\nB =\n[[-4, -7, -8, -9, -6, 3],\n [0, 5, -10, 8, 4, 7],\n [-10, 0, -3, -5, -5, -9],\n [-2, 6, -4, 6, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1904", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-10, 10, 7, -4, 10, 3],\n [-4, -6, 8, -7, -6, 6],\n [1, -7, 8, -7, -9, 5],\n [-2, -7, -9, 4, -1, -3],\n [-9, 8, -2, 9, -2, 0],\n [-5, 1, 10, 6, 7, -8]]\nB =\n[[9, 4, -3, 10, -4],\n [-2, -6, 1, -8, -5],\n [1, 8, -6, 2, 4],\n [-9, 9, -10, 3, 5],\n [0, -10, -1, 10, -8],\n [-1, -1, -4, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 4, -3, -7, 2],\n [-3, -4, 3, 2, 10],\n [7, 2, 5, 6, 7],\n [-1, 3, -3, -3, -8],\n [-6, 6, 2, -8, 6],\n [-9, 8, -10, 2, 6]]\nB =\n[[3, 1, -3, -9],\n [6, -4, -8, 3],\n [-7, -10, 0, -2],\n [-10, 2, -1, 6],\n [-5, 4, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[6, 9, 0, 4],\n [-6, -7, -5, 1],\n [-9, -3, 9, -1],\n [-3, -8, -10, 7],\n [-10, 2, -5, 0],\n [-2, 3, -4, 1]]\nB =\n[[-4, 9, -5, -3],\n [-1, 8, 5, 10],\n [6, 8, -2, 8],\n [10, -6, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -10, 10, 10, -6, 8],\n [-7, 6, 4, -10, 6, 8],\n [4, 6, -6, -10, -6, -6],\n [6, 7, -4, -9, 3, 1],\n [9, -9, -10, 0, -5, -6],\n [-3, -10, 10, 9, -5, 4]]\nB =\n[[-8, 7, 4, 6],\n [-6, 3, 4, -2],\n [8, 7, -10, 8],\n [2, -2, 7, 4],\n [2, 10, -1, -10],\n [-5, 6, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-1, -4, 9, -5],\n [-4, -2, -2, 7],\n [4, 10, -1, -10],\n [-7, -3, -2, 0]]\nB =\n[[-3, 0, -2, -2, 9, 0],\n [0, 4, 10, -10, -6, 7],\n [1, -4, -9, 1, 8, -2],\n [-6, 1, -1, -6, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-4, -9, 4, -4],\n [6, 6, 8, 1],\n [-2, 4, 0, -5],\n [-10, 5, 4, -7],\n [3, -10, 3, -5]]\nB =\n[[8, 3, 6, 0, -3],\n [3, -3, -6, -4, -10],\n [2, -6, -9, 4, -1],\n [-8, -1, 6, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[9, -7, 0, 10, 6, 3],\n [8, 4, 1, -3, -7, 9],\n [7, 1, -4, 9, -6, -1],\n [-8, -6, 6, 7, 0, 9],\n [9, 1, 2, -4, -7, 1]]\nB =\n[[-8, -3, 2, 2, -10, 8],\n [5, -1, -9, 0, -8, 9],\n [-2, 9, -4, 9, 5, -1],\n [-8, 10, 6, -2, 10, 10],\n [9, 5, 8, 5, 3, 5],\n [-1, -2, 8, 7, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, -3, -6],\n [9, 5, 8, 0],\n [-9, -2, 9, -3],\n [8, 1, 10, -8]]\nB =\n[[0, 4, -6, 7],\n [-5, -4, 6, -9],\n [7, 10, -2, 3],\n [-7, 5, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "842", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, 7, 0, 1, 9],\n [-5, 9, -1, 4, -8, -10],\n [9, -10, 10, -2, 2, 10],\n [3, -1, -4, 0, 9, 5],\n [0, -9, -9, 8, -8, -6],\n [0, 1, -3, -3, 3, 4]]\nB =\n[[-2, 10, -6, 2],\n [1, -9, -2, -1],\n [0, -3, -7, 7],\n [-2, 5, 4, 7],\n [5, 10, -10, -10],\n [-4, 1, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 5, 1, -1, 3, 0],\n [3, -4, 5, 0, 10, -9],\n [-5, 8, 4, 6, -8, -9],\n [8, 4, -9, -10, -4, -2]]\nB =\n[[-1, 4, -7, -6, 7],\n [2, 3, -6, -9, -5],\n [-7, 8, -5, -8, 8],\n [4, -2, 6, -1, 3],\n [-6, 3, 4, 7, 0],\n [-8, -4, -8, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 3, 1, -6],\n [9, -10, -10, 1],\n [1, 0, -9, 10],\n [10, -6, 10, 3]]\nB =\n[[9, -9, 3, 3],\n [-1, 0, -1, 9],\n [-7, 2, -8, 3],\n [0, 6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 8, -6, -7],\n [9, -3, 8, 1],\n [1, 5, -4, -6],\n [4, -5, 5, 8],\n [7, -2, -10, -6]]\nB =\n[[-2, -6, 8, -8],\n [2, 9, -7, 1],\n [-8, -10, -5, 5],\n [3, -7, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, 5, -2, 9],\n [0, 8, 5, -2],\n [1, 7, 5, 8],\n [8, 9, 9, 0]]\nB =\n[[-5, 5, 0, -7],\n [10, -7, -1, -1],\n [-2, -3, -2, -10],\n [-4, 6, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-264", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-2, 3, 6, -4, 4, -5],\n [-8, 4, -6, 5, 5, -4],\n [10, -10, -4, -10, 2, -2],\n [-8, -3, 5, -9, 2, 1],\n [9, 0, -10, -9, 10, -1],\n [-9, -10, -6, 4, -8, 0]]\nB =\n[[10, 6, -5, 9, -5, 3],\n [2, -3, 6, -5, 0, -9],\n [-1, -7, -10, -5, 6, -6],\n [3, -1, 1, -8, -2, 0],\n [0, 5, -3, -1, -8, 2],\n [-4, -9, 1, -5, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-10, 9, 5, -1, -4, -9],\n [1, 0, -1, 6, 8, 10],\n [10, 0, 2, 0, -6, -9],\n [4, 8, 6, 10, 9, -1]]\nB =\n[[0, 4, 9, -5, -1, -5],\n [-1, 8, 1, 9, -5, 5],\n [-6, -8, 4, -5, -5, 9],\n [-9, -2, -8, 4, 6, -3],\n [-2, 1, 6, 1, 5, -10],\n [8, 0, 9, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-2, -10, 0, 4, -9],\n [8, -8, -7, -1, -5],\n [8, -5, -4, -7, 2],\n [-9, -6, -8, 8, 5]]\nB =\n[[-4, -4, -1, 4, 0, -4],\n [0, -4, -8, 6, -3, -2],\n [-5, 8, -9, -7, -2, 8],\n [-7, 2, -3, 9, 5, -5],\n [-2, -10, 0, 3, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -6, -4, 10, -4, 5],\n [3, 5, -7, 5, -6, 9],\n [-3, 7, -2, 5, -6, 0],\n [7, -7, -3, 10, 0, -4],\n [-6, -5, -8, 6, 8, 2],\n [-9, 1, 4, -1, -5, 6]]\nB =\n[[-5, 7, 5, -9, 0, -4],\n [-10, 4, 10, 3, -1, 4],\n [-1, 1, 0, 0, 4, 2],\n [6, -8, -6, -5, 4, 10],\n [-6, 5, -5, -9, 6, 1],\n [-6, 0, -1, -7, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2383", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-8, -7, -1, 0, 6],\n [6, 8, 2, 2, 0],\n [7, -9, 6, 3, -4],\n [-1, 2, -2, 1, 10],\n [2, -5, 9, -10, -7]]\nB =\n[[3, 7, -6, 9, -9],\n [-7, -9, 5, 3, -6],\n [-5, -7, 7, 0, -7],\n [9, -6, -10, -9, 0],\n [3, 8, 2, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, 2, -7, -10, 8],\n [10, 4, -5, -4, -1, 5],\n [3, -8, -3, 1, -2, -5],\n [9, 0, -3, -10, 8, 6],\n [-8, 4, 2, -9, -8, 0]]\nB =\n[[-6, 3, 7, 10, -4, 8],\n [-4, -4, -1, 5, 6, 3],\n [-6, 1, 2, -3, -5, 9],\n [0, -1, -10, -4, 10, 2],\n [-5, 0, -10, -10, 7, -9],\n [-10, 6, -4, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 0, -2, -3, 3],\n [1, -1, -6, 7, -3],\n [-8, 0, -9, -2, 4],\n [2, 8, -1, 10, -7],\n [-6, -3, -1, -4, 1],\n [-5, 9, 5, -8, 1]]\nB =\n[[4, 8, 2, -4],\n [9, -2, 1, 1],\n [2, -6, 10, -10],\n [0, -2, 8, 5],\n [1, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-6, -10, 1, -3, 2],\n [0, -1, 5, -4, -10],\n [-5, -8, -7, -6, 0],\n [2, -9, -8, -6, -10],\n [-7, 8, -8, -5, 1]]\nB =\n[[0, 2, 5, -3, -8],\n [-4, 8, 9, 6, -5],\n [9, 0, -4, -9, -3],\n [5, -7, -4, 3, 7],\n [5, 0, -1, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, -8, 3, 5],\n [-3, -2, 5, -8, 4],\n [-6, 8, -9, -1, -5],\n [-4, 5, -5, 5, 6],\n [-6, 6, -1, 3, 10]]\nB =\n[[-7, -4, 5, 7, -9, -4],\n [0, 2, 3, 1, -7, 2],\n [2, -1, -4, -4, 10, 3],\n [-7, 10, 10, -5, -1, -9],\n [-4, 10, -2, 5, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, -1, -3, -6, 1],\n [-5, 3, -5, 7, -10],\n [-5, 10, -2, 10, 9],\n [-1, 9, 7, 2, 7]]\nB =\n[[-2, 1, -10, -6, 7],\n [-3, -7, 5, -3, 2],\n [-9, 4, -9, 5, 10],\n [-7, 3, -7, -4, -1],\n [-9, 3, -1, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, 4, 5, 7, -5, 8],\n [-9, -3, 4, 2, -2, -7],\n [0, -4, 1, -5, 4, -6],\n [-5, -2, -1, 5, -5, -6]]\nB =\n[[-10, -8, 6, -6],\n [-10, -10, 10, 10],\n [-6, -3, 1, -6],\n [-10, 1, -5, 5],\n [-9, 8, 0, 6],\n [-5, -8, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 9, 7, -2, 6],\n [9, -5, 3, -5, -2],\n [7, 5, 0, -9, 5],\n [-6, 2, 2, -1, -3],\n [-1, 6, -5, -3, 7]]\nB =\n[[-7, -1, 0, -10, -9],\n [2, -8, -8, 10, 8],\n [2, 6, -5, -6, -5],\n [0, -7, 7, 10, -5],\n [-6, -1, -8, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, -1, 6, -4],\n [3, 9, 10, 3, -9],\n [-8, -4, -5, 7, -10],\n [-6, 6, 3, -4, 1]]\nB =\n[[-3, -3, 4, -7, -8],\n [-10, 0, -5, 10, 8],\n [1, 1, -4, 10, -5],\n [-4, 7, -7, -4, 9],\n [-7, 8, -4, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-5, -8, 10, -8, -7, 1],\n [-3, 6, -6, 6, 4, 9],\n [10, 4, 9, -4, 0, -8],\n [-2, -10, -10, -8, -7, 7],\n [-5, -6, -10, 4, 10, 5],\n [10, 6, -8, 0, 10, 3]]\nB =\n[[0, 0, -5, 3],\n [-6, -2, 5, 10],\n [-5, -2, 8, 10],\n [2, 10, 4, 6],\n [-5, 10, -7, 7],\n [0, 5, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 7, 8, 2],\n [-10, -7, 10, 10, 7],\n [5, -8, -8, -4, 10],\n [-6, 10, -1, -3, -7],\n [4, 10, -3, -7, -7],\n [3, 9, -1, -2, 7]]\nB =\n[[-8, -7, -8, 8],\n [6, -5, 4, -7],\n [1, -8, 10, -10],\n [1, -4, -3, -4],\n [10, -2, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -3, -5, -6, 0, 9],\n [-4, 6, 4, -5, 4, -10],\n [-3, 3, 8, -3, -1, 5],\n [10, 6, -4, 5, 5, 9],\n [-10, -6, 8, -6, 2, 4],\n [4, -6, -5, 4, -10, -7]]\nB =\n[[-5, 9, 9, 3, 10],\n [-4, 7, 4, -8, -7],\n [1, -8, 6, -8, 4],\n [-2, 3, 9, 10, 10],\n [-8, 10, 3, -7, 7],\n [-1, 9, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -8, 1, 6, 0, -3],\n [6, 1, 8, 10, -1, -7],\n [-2, -4, 4, -1, -8, 10],\n [8, -2, -1, 6, -5, 3],\n [5, 10, 6, -5, 6, -5]]\nB =\n[[-7, -3, -6, 4, -3, 5],\n [5, -7, -2, -6, 8, 5],\n [5, 5, 2, -6, 8, -10],\n [-4, 0, -1, 10, -7, 2],\n [3, -5, -9, 7, 5, 9],\n [9, -4, 7, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 1, 7, -7, -10],\n [8, 3, 3, 1, 3],\n [9, -6, 5, 9, -3],\n [4, 6, 5, -2, 0],\n [9, -6, -4, -7, -9],\n [5, 7, -3, 5, 4]]\nB =\n[[-9, -8, 1, -3, 10],\n [5, 10, 9, 2, 2],\n [-1, 5, 3, 6, 6],\n [-9, 5, 6, 2, -8],\n [-5, -6, -2, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -5, 9, -9, -10],\n [4, -1, 3, -10, -2],\n [7, 0, 2, 0, 0],\n [7, 4, 10, -5, -9],\n [5, -1, -9, -2, -4]]\nB =\n[[-9, 2, -2, 1, -4, -4],\n [6, -3, -3, -2, -5, 8],\n [7, 0, 6, -7, 5, 7],\n [-9, -7, 6, -7, 8, -9],\n [1, 5, -8, 2, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[0, 1, -6, -5, -1, 1],\n [-2, -9, 10, 7, -3, -4],\n [-9, 10, -9, -6, 9, 8],\n [-3, 3, -4, -3, -5, -6],\n [-9, -8, 5, -2, 8, -10]]\nB =\n[[-8, 6, 10, -9, -6],\n [5, -6, -7, 8, 2],\n [-8, -1, -7, 3, 8],\n [-2, -2, 4, -3, -4],\n [3, -7, 7, 9, -7],\n [0, -4, -4, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, 8, 9, -4],\n [-7, -1, -9, 3, 2],\n [0, -1, 2, 10, 5],\n [2, 7, -2, -9, -10],\n [-10, -2, 10, -3, 0],\n [-10, -7, -6, 7, 4]]\nB =\n[[10, -1, 8, 10],\n [-2, 7, 9, -6],\n [-9, 8, 5, 1],\n [-2, 9, 0, 6],\n [-9, 7, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-603", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 8, 6, 4, 9, -10],\n [4, 1, 10, -2, -6, -1],\n [-4, -6, 6, 5, 10, 2],\n [-10, 0, 0, 9, 9, -7],\n [-8, -7, -8, 6, 6, -5]]\nB =\n[[-7, -6, -9, 9, 4, 6],\n [3, 4, 2, 9, -3, 7],\n [8, -7, 3, 4, -8, -4],\n [-10, -6, 4, -8, -4, 0],\n [-6, -1, 1, -4, -10, 4],\n [8, -5, 10, 1, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2463", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[6, -6, -4, 10, 6, -9],\n [-1, -1, -7, -9, 4, -2],\n [3, -7, -2, 10, 10, -1],\n [3, -8, -10, 9, 9, -7],\n [-2, -7, -8, -4, -6, 6],\n [9, -3, -3, -3, -2, 8]]\nB =\n[[-4, -5, 2, -4],\n [6, 0, -2, -1],\n [8, 7, 4, -9],\n [-4, 7, 0, -10],\n [-9, 8, 8, 7],\n [-9, 3, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[5, 9, -8, 0],\n [-10, 2, -8, -6],\n [7, -4, -1, -4],\n [6, -2, 10, -10],\n [-5, -9, 10, -2],\n [3, -6, -2, 6]]\nB =\n[[7, -3, 10, -8, -5, -2],\n [-4, 4, -4, 0, 5, -2],\n [-7, 10, 9, 8, -10, -6],\n [10, 6, -10, -7, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-7, -8, -3, -7, -10, -2],\n [4, 5, 6, 9, 9, 6],\n [6, 9, -8, 4, -3, 9],\n [-10, -1, 1, -2, 2, -9],\n [4, -2, 2, 7, -8, 5],\n [4, 7, 6, -3, -1, -7]]\nB =\n[[6, -5, -7, 0, 6, -8],\n [-9, -9, 1, -3, -4, 10],\n [-4, 7, -7, -6, 8, 1],\n [1, 0, 2, 7, -9, 9],\n [5, 6, -3, -2, -10, -6],\n [9, -3, 6, -3, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -5, -2, 7, -2],\n [-3, 7, -2, -6, 2],\n [-4, -10, -4, 1, 8],\n [-2, -9, 9, -1, -4],\n [9, 2, -9, -8, -9],\n [9, 8, -6, 9, 4]]\nB =\n[[-8, 7, -9, -3, 0],\n [-8, -9, 4, 8, 1],\n [-3, -7, -5, 2, 3],\n [-5, 5, 8, 5, -9],\n [-2, 5, -5, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1888", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -2, 8, 4],\n [-5, -1, 6, -10],\n [-10, 2, -7, 10],\n [-3, 9, -10, -5],\n [2, -7, 1, -3]]\nB =\n[[9, 4, -4, 5],\n [-2, -5, 0, -10],\n [-9, -5, 8, 6],\n [2, -7, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1279", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 2, -5, 1],\n [0, -10, 5, -1],\n [-4, 6, 1, -4],\n [5, -1, -6, -10],\n [-2, -8, -1, -4]]\nB =\n[[8, 7, -10, -3, -8],\n [7, -1, -10, -3, 0],\n [-1, 9, -4, 2, 4],\n [-10, -6, 8, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -8, -10, 10],\n [-8, 8, -2, -5],\n [-6, 10, 4, -9],\n [3, 1, 7, -8]]\nB =\n[[-9, -2, 6, -3, -3, -9],\n [5, 1, -8, 6, -6, -6],\n [-4, 5, -4, -9, 10, -4],\n [-6, 10, -1, -10, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[9, 6, 10, 10, 4, -6],\n [-4, -10, 0, 8, -10, 9],\n [-5, 10, 1, -8, -2, 6],\n [-10, -8, 1, 1, -4, 4],\n [-10, 0, 7, 2, 8, 8]]\nB =\n[[5, -1, -4, -9],\n [4, -1, -5, 0],\n [8, 10, -6, 4],\n [-1, 4, -7, 3],\n [-10, -6, -9, 10],\n [-9, 7, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -5, -9, 8, 5, -1],\n [10, -7, 7, 2, -10, 7],\n [5, -6, -4, 6, 3, 1],\n [1, 2, -7, 6, -7, 2],\n [-1, 2, -8, -8, -7, -8]]\nB =\n[[7, -7, -10, 8, -8, -3],\n [10, 6, 3, 10, -6, 10],\n [-3, 10, 10, 3, -7, 6],\n [10, -6, -10, -7, 6, 2],\n [8, 0, 10, 3, -9, 6],\n [0, -5, 4, 4, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1407", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 9, 9, 10],\n [5, -3, 8, -9],\n [5, -9, 10, 7],\n [5, 3, 4, 10],\n [8, -10, 7, -5],\n [1, 4, 1, 0]]\nB =\n[[0, -6, 5, 8, -10, -3],\n [8, -2, -6, 3, 3, 6],\n [4, -3, 3, -7, -3, 4],\n [-4, -8, -9, 1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[3, -1, 6, 9, -2],\n [-4, 2, -5, 9, -4],\n [10, -1, -3, 1, -2],\n [-6, -10, 2, 2, -2],\n [7, -5, 0, 7, 0]]\nB =\n[[9, -8, 5, 6],\n [-3, -2, 3, -7],\n [-10, 6, 9, 10],\n [-4, -2, -8, 6],\n [-5, 1, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -4, 5, -8, -5],\n [-1, -10, 2, -5, -3],\n [4, 8, -2, 5, -4],\n [1, 5, 9, 4, -3],\n [-9, -3, 2, -1, -3],\n [4, 8, -4, 1, 5]]\nB =\n[[-5, 6, 6, 1, -5, -1],\n [-2, -2, -10, 5, -6, 2],\n [2, 5, 1, -5, 7, -2],\n [10, -6, -7, 8, -5, -1],\n [9, 5, 10, -1, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 5, -1, 8, -6, 8],\n [-5, -10, 6, 4, 7, 1],\n [2, 0, -1, -7, 1, -2],\n [-7, 7, -10, -10, 9, -3]]\nB =\n[[-4, 6, 5, -5, -8, 9],\n [0, 4, -6, -10, 3, 5],\n [4, 2, -4, -8, 4, -5],\n [10, 9, 1, -10, -8, 4],\n [-4, 4, 3, -6, 8, 6],\n [9, 10, 2, -3, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1745", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 4, 5, -8, 0],\n [9, 4, 7, -6, 8],\n [-10, -7, 6, 8, 9],\n [-1, 10, -9, 6, -8]]\nB =\n[[-10, -3, 4, -9, -7, 8],\n [6, -5, -8, 4, 4, -9],\n [-5, 9, 2, -5, 3, -7],\n [-3, -1, 10, -5, 2, 7],\n [1, -8, -3, -9, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 0, 4, 8],\n [-2, 0, -10, 5],\n [-9, 6, 0, 5],\n [10, 1, -2, -7],\n [-2, 5, -8, 7],\n [1, 9, -5, -7]]\nB =\n[[5, 4, 2, 6, -5, 2],\n [-6, 4, 8, 8, -1, -8],\n [2, 0, 6, 7, 6, -8],\n [-2, 7, -10, 4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[7, -7, 10, -1, -7, 8],\n [0, 10, -6, 2, -6, 7],\n [7, -4, -3, 5, 5, 8],\n [6, 10, -6, -6, 2, 10]]\nB =\n[[-9, -3, -1, -2, 3],\n [-2, 6, -4, 5, 8],\n [9, 9, -6, 5, -8],\n [0, 3, 10, -10, -6],\n [-2, -8, -10, 5, -3],\n [5, -9, -10, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 4, 8, -7, 7],\n [3, -4, 0, -3, 7],\n [-8, 3, -6, -4, -6],\n [7, 10, 3, -3, 8],\n [-10, -8, 6, -3, -8],\n [-1, 8, -7, 1, 0]]\nB =\n[[7, -10, 0, -3],\n [2, 9, 4, -1],\n [0, -4, -9, 9],\n [-9, 2, -5, -10],\n [-5, -5, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[7, 1, 9, -3, 4],\n [-4, -3, 5, 7, -5],\n [7, -1, 3, 4, 6],\n [-8, -10, -6, -4, 10],\n [-7, 4, -9, 10, -3]]\nB =\n[[-5, 0, -8, 4],\n [-6, 10, 0, 7],\n [1, -6, 4, 3],\n [9, -1, 2, 0],\n [-3, -5, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -7, 6, -9, 6, 3],\n [-8, -2, -3, -6, 1, 0],\n [2, 4, -2, -7, 0, -6],\n [-6, 1, -4, -6, 0, 1],\n [6, -2, 6, -6, -8, 10],\n [7, 6, 5, -1, 3, 6]]\nB =\n[[8, -8, -5, 4],\n [-1, 3, 6, -7],\n [-6, -2, -6, 2],\n [1, -5, -3, 8],\n [-3, -3, -9, 0],\n [8, -9, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -2, 0, 5],\n [9, 8, -2, -3],\n [0, 6, -2, -5],\n [-8, -2, -3, 7]]\nB =\n[[-6, -4, 5, -2, -5],\n [-4, -2, 3, 0, 3],\n [1, 9, 9, -3, -8],\n [-3, 8, -5, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 1, -7, -10],\n [3, -4, -3, -6],\n [0, 4, -4, 10],\n [-1, 5, 7, 5]]\nB =\n[[-3, -1, 1, -6, 5],\n [6, 7, -9, -1, -6],\n [-3, 4, 3, 0, 5],\n [-9, -5, 6, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "861", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, -3, 6],\n [10, -3, -3, -9],\n [-2, -4, -8, 5],\n [-6, 9, 1, 6],\n [-3, 0, -10, 6]]\nB =\n[[-5, -7, -2, 5, 8, 2],\n [-1, -5, 2, -10, 3, -8],\n [5, 3, 1, 5, 0, 5],\n [0, -6, 4, -2, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 7, 9, -5],\n [7, 3, 9, -4],\n [-5, 7, 4, -4],\n [-10, 10, 10, 0]]\nB =\n[[-8, -1, 2, 7, 4, 7],\n [3, 5, 0, 4, -2, 4],\n [-5, -6, -4, 2, 10, 4],\n [-3, -5, -1, 10, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-8, 10, 1, 5, 9],\n [9, 9, 1, 3, 5],\n [0, 7, 5, 3, 5],\n [9, -2, 10, 2, -2],\n [9, -8, -6, -1, -8]]\nB =\n[[-4, -3, -1, 3],\n [3, 8, 2, -8],\n [-3, 8, 5, -10],\n [3, -6, 4, -2],\n [-4, -4, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 1, -9, 7],\n [7, 9, -3, 8],\n [4, -1, -5, -3],\n [3, -3, 8, 4],\n [8, 2, 7, -10],\n [-6, 4, 3, 3]]\nB =\n[[-2, -4, -4, 7, 8, -10],\n [-10, -10, 9, -5, -3, 4],\n [5, -10, -4, 2, 8, 2],\n [8, 2, -8, 8, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -6, -6, -4],\n [-5, -3, 0, -6],\n [-5, -2, -8, 7],\n [-5, 4, -10, 4],\n [-6, 6, -5, 5],\n [10, 2, -2, 6]]\nB =\n[[6, 10, 2, -2],\n [-10, 0, 10, 4],\n [-7, -3, 3, 3],\n [-5, 5, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -7, -1],\n [-8, -2, -8, 1],\n [-8, 4, 9, 5],\n [-1, 9, 2, 9],\n [-6, 2, 0, 1]]\nB =\n[[8, 3, 6, 4],\n [-3, 0, -10, 0],\n [-5, 5, -8, -2],\n [-1, -1, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 2, 10, 6, -7, -3],\n [2, 1, 8, -2, 5, 5],\n [2, 3, -1, -9, -8, -9],\n [6, 6, -6, -9, 3, -10],\n [8, -6, 2, 6, -8, 0],\n [-2, -5, 9, 7, 5, 3]]\nB =\n[[1, -8, -2, 8, -10],\n [-10, -8, -9, -4, 8],\n [-2, 5, -10, -2, 5],\n [6, -1, 9, 5, -5],\n [-10, 4, -10, -2, 3],\n [-7, -3, -8, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[7, -3, -9, -9, 0, -8],\n [-7, -8, 7, -8, -5, 6],\n [5, 8, -2, 7, 2, -7],\n [-9, -8, -3, -8, -9, 7],\n [-8, 10, 7, -9, -5, 6]]\nB =\n[[0, 4, -7, -9, 8],\n [-10, -10, 5, 10, 3],\n [-7, 6, 7, -2, 4],\n [-1, -10, -7, -7, 7],\n [-5, -9, -6, 3, -7],\n [-8, 10, 10, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-10, 4, 6, 0, -9],\n [1, 6, 4, -9, -8],\n [-8, -10, -5, 1, 0],\n [-10, 5, -10, 0, 2],\n [-4, 2, -9, 9, 7],\n [5, 8, 1, 0, -8]]\nB =\n[[9, 1, -8, 6, 2],\n [-4, -6, 1, 1, -7],\n [9, 1, 9, 0, -7],\n [-6, 6, 1, -6, 9],\n [8, -10, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[3, -2, 2, -1, 10, 3],\n [5, -9, 6, 3, 2, 5],\n [9, -8, 1, 6, 2, -6],\n [-3, -4, 1, -7, 9, 10],\n [-3, -3, 9, -8, -3, -9],\n [6, -5, 4, 1, -6, -8]]\nB =\n[[-7, -1, 6, 9],\n [-5, 7, 10, 6],\n [-9, 4, -1, 2],\n [-7, 3, 10, 10],\n [8, 10, 6, -1],\n [-4, -7, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -8, 0, -6, 0, -4],\n [-10, 10, 10, -5, 5, -2],\n [7, -8, 5, -7, -10, 4],\n [9, -1, -10, 6, 5, -9]]\nB =\n[[-7, 1, 4, -2, 8, -3],\n [-3, 2, 6, -5, 3, -3],\n [8, 0, 3, 7, 8, 6],\n [-7, 0, -9, 7, -1, 2],\n [5, 2, -2, 3, 8, -9],\n [0, -7, -5, 2, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1193", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, -1, 1, 1],\n [1, -4, 6, 1, 0],\n [-8, 0, -1, 7, 6],\n [-1, -3, -4, -7, -5],\n [8, -6, 7, 8, 6]]\nB =\n[[9, 2, 1, 7],\n [-5, -2, -8, 5],\n [8, -6, -1, 0],\n [-1, -5, -6, -9],\n [-6, 2, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -5, -2, 7],\n [2, -7, 7, -2],\n [8, -10, -1, 0],\n [-3, 9, 2, 7]]\nB =\n[[-10, 2, 9, 8, -1, -3],\n [4, -4, 4, -7, 3, -3],\n [1, -5, 0, -2, 2, 8],\n [-6, 2, 10, 4, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 1, -4, 3, -6],\n [8, -8, 2, 8, -7],\n [-4, 4, 8, 3, -4],\n [6, -1, 9, 1, -3],\n [4, 1, -1, -8, 4]]\nB =\n[[-9, 3, -2, -3, 4],\n [-5, 10, -1, -4, -8],\n [-7, 10, -6, -4, 3],\n [-9, -3, -3, -9, 1],\n [8, -1, 1, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-562", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 0, 1, 1, 2],\n [4, 5, -2, 2, 6],\n [-2, -1, 4, -6, -8],\n [6, 1, 10, 3, 5]]\nB =\n[[-8, -9, 9, -6, 8, 6],\n [-2, -5, -8, 10, 3, -10],\n [3, -6, -6, 7, -4, -2],\n [10, 4, -7, -9, 5, 9],\n [-5, -8, 7, -4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 6, 7, -9],\n [-4, 9, -6, 9],\n [1, 0, 6, -8],\n [-3, -7, -5, -9]]\nB =\n[[-10, -10, 5, -8, 10, -4],\n [8, 10, 1, -3, -4, -6],\n [-5, 3, 6, 7, 10, -7],\n [6, 4, 4, 7, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 9, 1, -9, -9, -6],\n [6, 2, -1, -6, -10, 8],\n [-2, -3, -5, 2, -9, -2],\n [-2, -7, 10, 9, -6, -1],\n [1, -10, 9, -2, 6, -6]]\nB =\n[[6, 7, 4, -10],\n [-2, 3, -8, -2],\n [-5, 9, -10, -3],\n [-2, -3, 9, 9],\n [10, -9, -7, 5],\n [-3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, 10, -8, 10, -4],\n [-4, 3, 4, -1, 2],\n [-10, 0, -4, -10, -6],\n [8, -5, -1, 3, -1],\n [-10, 7, 1, 4, 0],\n [-10, 6, 4, -7, -1]]\nB =\n[[-3, -7, 0, 0, -7, 3],\n [7, -9, 1, 9, -4, 1],\n [-10, -10, -8, 4, 1, -9],\n [-4, 8, 3, 7, 7, 4],\n [-7, -10, 0, 7, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -1, -3, -3, 0, 2],\n [5, 1, 7, 0, -9, 8],\n [-7, 0, 1, -2, -2, -7],\n [-10, -2, 1, 7, -2, 2]]\nB =\n[[0, -4, 10, 5],\n [5, 6, 2, -2],\n [-3, -2, 4, -1],\n [1, 5, -9, -6],\n [1, -10, -10, -2],\n [-3, 2, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -10, -6, -2],\n [6, -3, -5, 8],\n [8, 6, -3, 0],\n [5, 4, -5, 6],\n [8, 2, 3, -4],\n [10, 4, 8, -6]]\nB =\n[[8, 4, -9, 10, -2],\n [1, -8, 4, -1, 5],\n [-5, 1, -1, -2, 1],\n [-10, -4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -9, -5],\n [8, 9, -1, -4],\n [8, -6, -7, -7],\n [4, 9, -8, 1]]\nB =\n[[-2, 5, -10, 10, 1, 9],\n [-6, 9, 6, -5, -5, -1],\n [7, -3, 6, 10, -4, -1],\n [2, -2, -9, -7, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -10, -10],\n [-1, 7, 5, 9],\n [-3, 2, -5, 7],\n [-2, 8, 4, 3]]\nB =\n[[1, -9, 3, -9, 9],\n [6, 9, -7, 4, -6],\n [10, 7, -6, 10, -9],\n [-7, -10, 2, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, 1, -1, -5],\n [6, -9, 7, 8, -1],\n [0, 7, -8, 6, 7],\n [-10, -6, 0, -1, -2],\n [-5, 5, 2, 8, -5]]\nB =\n[[6, 8, 7, -4, -2, 7],\n [2, 4, -9, -3, -9, 3],\n [9, 7, 0, 6, -10, 9],\n [9, -4, 10, -3, -7, 10],\n [-8, 5, -7, -9, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 8, 8, -5],\n [4, -9, 10, -9],\n [8, 5, 0, -10],\n [6, -6, 7, 7],\n [3, 5, 10, 4],\n [-7, 7, 1, 1]]\nB =\n[[6, 4, -6, -7],\n [-8, -1, 9, -1],\n [-6, -7, -2, -4],\n [-3, 0, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-778", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 6, 4, 5],\n [3, -5, 8, -8, -7],\n [0, 6, 4, 5, 7],\n [4, -5, 1, 1, 1],\n [4, 10, -2, -3, 5]]\nB =\n[[10, -8, 10, 2],\n [2, -10, -7, -2],\n [-7, 5, 0, 6],\n [-1, 7, 7, -9],\n [3, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 6, 5],\n [10, -1, 6, 7],\n [1, 9, 8, -9],\n [-8, -7, 10, 4]]\nB =\n[[-10, -5, -1, 0, 7],\n [-10, 8, 4, -1, -2],\n [10, 6, 4, -1, 10],\n [-3, 5, 3, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 2, -2, 0, -6, 3],\n [10, 1, 9, 0, -4, 2],\n [-10, 8, 0, 6, 3, -3],\n [4, 0, 1, 4, -4, 8],\n [-1, -6, -2, 6, 2, 4]]\nB =\n[[-10, 3, 6, 3, -9, -8],\n [3, 0, 1, 10, 7, 9],\n [0, 0, 6, -10, -10, 8],\n [4, -1, -4, 0, -8, 6],\n [3, 0, 4, 9, -9, -4],\n [-4, 10, -7, 5, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1796", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[9, -1, 9, -5, -4],\n [-1, 0, -2, 10, -1],\n [10, -8, 5, -9, -10],\n [10, -2, -3, 5, -4],\n [-2, -5, -6, -9, -9],\n [3, -10, -7, 8, -10]]\nB =\n[[-7, 5, 7, -6, -4],\n [-10, -4, -6, -1, 5],\n [3, -4, -1, 9, 8],\n [-8, -4, -10, 3, -2],\n [1, 6, 9, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-1, 4, -1, 5, -1, 2],\n [-3, 5, -4, 9, -2, 2],\n [-6, 3, -10, 10, 1, -1],\n [2, 4, -9, -2, -6, -10]]\nB =\n[[-2, 9, 3, -8, -1, -1],\n [-2, -2, -10, 0, -9, 4],\n [3, 5, 7, 4, -1, -6],\n [-5, -1, 10, 0, -7, 8],\n [-3, -2, -7, -4, 5, 5],\n [-2, -6, 1, 5, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, -2, 9],\n [-7, 5, -5, -7],\n [3, 5, 5, 3],\n [-6, 0, 4, 2],\n [7, 3, -3, 0]]\nB =\n[[7, 2, -9, 7, 7, 6],\n [5, -8, 1, -8, 6, -7],\n [-7, 0, 3, -1, 3, -3],\n [9, -9, -10, 7, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, -7, -4, 8, 5],\n [4, -5, -1, 5, 2, -7],\n [5, -2, 10, 5, 0, -3],\n [-6, 10, 2, -10, 8, 2],\n [-1, -9, 7, 1, -7, -5]]\nB =\n[[5, -8, -3, -1, -10, -3],\n [-10, -2, 5, -10, -7, -6],\n [7, 1, -8, 2, -3, 4],\n [-10, 10, -4, -2, 6, 5],\n [-7, -9, 3, 9, 9, -4],\n [2, -7, 3, 4, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[0, -8, -8, 10, 4],\n [-7, -9, 2, 9, 8],\n [-2, -3, 9, 7, 0],\n [7, -10, 1, -3, 8],\n [-4, -10, -4, -4, 3]]\nB =\n[[7, 1, 10, 2, -7],\n [4, -8, -5, 4, -9],\n [1, 4, 9, 1, 8],\n [2, 4, -8, 6, -7],\n [-5, -8, 1, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 5, 5, 6],\n [10, -2, -8, 1],\n [8, 1, 4, -10],\n [9, -7, 0, -5],\n [1, 8, 9, 4]]\nB =\n[[-4, -10, -6, -2, -8],\n [-4, 6, -3, -8, 1],\n [1, 3, -8, 10, -10],\n [-8, -4, 6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 5, -4, -4, -7, -3],\n [4, -2, 0, 7, -10, -4],\n [2, 10, 4, 3, -10, 6],\n [3, 9, 10, -5, 10, 10]]\nB =\n[[7, -6, 4, 8],\n [1, 0, 8, 8],\n [10, -5, -4, -9],\n [-9, 1, 8, -6],\n [4, -5, 1, 8],\n [9, 1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -9, -9, -3],\n [6, -8, 0, 8],\n [-1, 8, -4, -1],\n [-8, 9, -4, -10]]\nB =\n[[2, -6, -1, 6, 1, -3],\n [8, 1, -10, 2, -9, 4],\n [-3, 9, -7, -9, 2, 1],\n [4, -2, -7, -3, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[2, 1, -6, 1],\n [10, 1, 3, 6],\n [8, 7, 7, 6],\n [-2, 1, -3, -4]]\nB =\n[[3, 3, -4, -4, -6, -1],\n [-1, 2, 5, 3, -7, 9],\n [3, 10, -9, -10, 0, 3],\n [-7, 3, -8, 8, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[5, -7, -8, 7, -4, -3],\n [-8, -9, 9, -1, -1, -10],\n [-6, -4, -4, -2, 5, -8],\n [0, -10, 0, 2, -6, -7]]\nB =\n[[-1, -2, -8, -8, 6, -3],\n [2, -5, 5, -6, -2, -5],\n [-9, -8, -2, -3, 7, 6],\n [0, 6, 0, 3, 7, -9],\n [1, -1, 9, -8, 9, -2],\n [-2, -2, -7, -1, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[0, -6, -7, 3, 0],\n [8, -10, 2, -4, -4],\n [-9, -1, -7, 4, -7],\n [8, -2, 2, 7, 4],\n [9, -10, 9, -5, 10],\n [-4, -8, -6, 5, -5]]\nB =\n[[-2, -1, 9, 1, 1],\n [-9, -10, 1, -8, 2],\n [7, 10, 8, -2, -8],\n [-4, 7, -6, -10, -3],\n [4, -10, -1, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -2, -8, 5],\n [-7, 4, -2, 9],\n [-8, 9, 5, -1],\n [6, -8, 1, -1],\n [-3, -6, -5, -1]]\nB =\n[[4, -9, 8, -10, -5, 0],\n [10, 7, -2, 2, 2, -1],\n [-2, -8, 5, -2, 8, 8],\n [10, 2, -9, 5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1942", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[4, 9, -10, -1],\n [2, 4, 2, -6],\n [-6, 10, 9, -8],\n [-4, 6, -4, -6],\n [-1, -5, -4, -10]]\nB =\n[[-3, 0, 1, -7],\n [-7, 3, -1, 7],\n [-3, 5, 10, 8],\n [-7, -5, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -4, 5, -7],\n [-2, -6, -3, -9],\n [2, -10, 6, -7],\n [9, 2, 7, -4],\n [-4, 2, 0, 3],\n [9, 9, -10, -1]]\nB =\n[[3, 0, 7, -2, 10],\n [-1, -7, 2, -3, 4],\n [7, -10, 1, 0, 2],\n [3, 8, -8, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 10, -4, -7],\n [9, -10, -6, -7],\n [2, -5, -4, -1],\n [-9, 4, -6, 6],\n [-1, -1, 4, -7],\n [3, 8, 6, -2]]\nB =\n[[5, 7, 10, 2, 6, -9],\n [-1, -9, -5, 5, 1, -3],\n [0, 3, -7, -9, -7, -5],\n [-7, -5, -2, -2, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, -2, 0],\n [7, -5, -2, 8],\n [10, 10, 4, 5],\n [8, 9, -1, 10]]\nB =\n[[-7, -6, -2, -9, -2, -10],\n [2, -5, 6, 2, 0, 5],\n [2, 3, 0, -6, 10, -7],\n [5, 9, -1, 8, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-396", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -10, -9, 2, -4, -9],\n [6, 7, -1, 3, 5, 8],\n [10, 7, 1, -4, -10, 3],\n [-4, -9, 2, -1, -5, -9],\n [4, -1, 6, -10, -9, -5]]\nB =\n[[-8, 7, -1, 10, -10, -5],\n [-6, -5, -1, 2, 3, -2],\n [-8, 0, 2, 5, 1, -9],\n [-5, -2, -1, -1, 5, -4],\n [4, -2, 4, -10, -10, 0],\n [5, -9, -1, -10, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 10, 3, 1, -1],\n [4, -6, -6, -7, 2],\n [-10, -4, -5, -2, 8],\n [2, 9, 7, -1, -8]]\nB =\n[[10, -9, -5, 2],\n [8, 1, 8, -4],\n [-7, 4, -10, 10],\n [-9, 6, 6, 2],\n [0, 1, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[3, 7, -3, 6, -2],\n [-4, -3, 4, -10, 7],\n [-9, 1, 0, -8, -5],\n [3, -9, 0, -5, 9],\n [0, 9, 3, -8, -6]]\nB =\n[[-4, 4, 5, -9, -7],\n [-3, -1, -10, 4, 10],\n [2, 9, -3, -7, -2],\n [4, -2, -9, -4, -8],\n [-9, -7, -6, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[8, 1, -1, -6],\n [8, -1, -7, 3],\n [-10, 1, 2, -6],\n [1, -2, -8, 1]]\nB =\n[[-10, -6, 10, -6, -3],\n [-6, -6, -6, -9, 7],\n [6, 0, 9, -5, -3],\n [0, 1, 10, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -3, 7, -4, -5],\n [2, 6, 2, -3, -9],\n [-5, 1, -2, 3, 3],\n [-8, 6, 5, -2, 6],\n [-7, 0, 1, 1, 8],\n [7, 1, 10, 2, 2]]\nB =\n[[-8, 1, -7, 10],\n [-3, -1, -2, 5],\n [3, 1, 6, 0],\n [-8, 0, -3, 5],\n [0, 9, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1252", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -1, -8, 8, 7, 5],\n [-6, -9, -7, 6, 2, 0],\n [-7, 8, 5, 4, -1, 5],\n [-10, -5, 0, -4, 1, 7],\n [-2, 0, 1, -9, -5, 6]]\nB =\n[[-4, -6, -4, -7, 4, -9],\n [-7, -8, -5, 8, 4, 5],\n [6, 0, -2, 5, 5, 7],\n [-8, 4, -8, 5, -1, 5],\n [8, 4, 4, -4, 3, -5],\n [-6, -3, 1, 1, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -6, -6, -6, 7],\n [-1, 1, -9, 9, 8],\n [-3, -2, -2, 6, 6],\n [-7, -1, 10, 9, 2],\n [2, 2, -6, 6, -4]]\nB =\n[[-2, -4, -8, 10],\n [2, 1, -10, -9],\n [8, -2, 8, 8],\n [7, 10, -7, 2],\n [-9, -2, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, -8, 10],\n [-1, 9, 7, 9],\n [7, -3, -9, 2],\n [-1, 10, 0, -10]]\nB =\n[[8, -3, -10, 1, 10],\n [-5, 7, -1, 5, 7],\n [-9, 10, 9, -9, -5],\n [8, 1, -8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -7, 2, 3],\n [-10, -10, 10, -7],\n [2, 0, 9, -6],\n [10, -1, 2, 7]]\nB =\n[[-5, -3, -9, 5, 1],\n [-10, -10, -10, -4, -4],\n [1, -3, -7, 2, 2],\n [-1, -7, -9, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "567", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 9, -6, 1, 10, 7],\n [5, 6, 8, -1, -3, 3],\n [3, 3, -6, -4, 7, 5],\n [2, -6, -5, 9, 8, -3],\n [2, 10, 10, 1, -2, -6],\n [-3, 2, -4, -8, 9, -8]]\nB =\n[[-4, -3, 5, 7, 9],\n [6, 2, -2, -8, -10],\n [1, -3, -3, 4, 7],\n [8, 6, -7, 10, 8],\n [1, 5, 3, -3, 8],\n [8, -8, 5, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[10, -3, 0, -1, 2],\n [-3, 10, -10, -2, -8],\n [6, 2, -9, -8, 8],\n [3, 0, 4, 6, 9],\n [2, 2, -9, 5, -10]]\nB =\n[[-1, -5, 8, 1],\n [6, -9, 1, 5],\n [-1, -1, 9, -6],\n [-2, 4, 2, 1],\n [0, -2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 4, -4, 7, 7],\n [-3, 4, -3, -7, -7],\n [3, -6, -2, 3, -3],\n [9, 7, -10, 1, 3],\n [1, -1, 6, 9, 8],\n [-8, 4, -3, 2, 0]]\nB =\n[[6, -6, 6, -3, -7, 8],\n [-6, 9, 4, -9, 2, -3],\n [4, -7, 5, 7, -10, 9],\n [4, -2, 4, -9, -4, 9],\n [5, 7, -6, 10, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, -3, 9, -9, 5],\n [4, 9, -5, -1, 7, 3],\n [-2, 5, -10, 8, -10, 1],\n [-9, 7, -4, 7, -9, 0]]\nB =\n[[-7, -6, -7, 5],\n [3, 0, 3, 6],\n [3, 0, -1, 6],\n [8, 2, 1, -10],\n [6, -7, -5, -3],\n [4, 6, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -7, -8, -8],\n [0, 8, 1, -8],\n [-9, 6, -8, 9],\n [-1, 8, 10, -3],\n [-1, -1, 3, -4]]\nB =\n[[7, -8, 6, 2, 10],\n [-2, -9, -6, 1, 4],\n [4, -5, -2, -2, 3],\n [-10, -3, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, -1, 0, 5],\n [0, -6, -2, -1, -10],\n [0, -9, 6, 4, 7],\n [-4, -7, 10, 5, -3],\n [10, 1, -6, 10, 10]]\nB =\n[[2, 6, 8, 0],\n [3, 9, 3, 7],\n [5, -7, -10, -6],\n [9, 9, 4, -4],\n [4, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1463", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 2, 5, -9, 9, 1],\n [-7, 2, 0, 3, 7, -3],\n [-6, -9, -7, -6, -6, -7],\n [-10, 7, 0, -10, 6, 1],\n [-10, 1, 2, -1, -10, 9]]\nB =\n[[6, 1, -1, 4, -1],\n [6, -2, -3, -3, -5],\n [-4, 8, -9, -4, 8],\n [9, 1, -7, 0, 3],\n [6, -4, 0, -3, -5],\n [0, 10, 4, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 3, -9, 2, -8, -3],\n [-9, -9, -3, -1, 1, -6],\n [-7, -9, 7, 6, 7, 7],\n [-6, 8, 6, -1, -2, -5],\n [4, 8, -1, 2, 8, -3],\n [7, 3, 5, -5, -10, -1]]\nB =\n[[-9, -4, -4, 4],\n [-1, 0, 1, 4],\n [-4, 8, -5, -9],\n [-7, 7, -8, 1],\n [-4, -1, -4, 9],\n [-10, 3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, 8, -8, -7],\n [5, -10, 9, 0, 5],\n [1, -4, -10, 9, 2],\n [-1, -3, -6, 9, -5],\n [1, 4, 0, -6, -6]]\nB =\n[[-10, -8, 5, 0, -2, -9],\n [-3, 5, 4, -6, -7, -10],\n [0, 5, 1, 3, -5, -7],\n [8, -7, -8, 7, 10, 3],\n [-8, -3, 4, 10, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 2, -5, 6, 5, -7],\n [-4, 7, 5, -10, 8, 0],\n [9, -4, -5, 0, -2, 2],\n [3, 1, -5, 6, -5, 9],\n [-8, 8, 8, -3, -1, 10]]\nB =\n[[6, -3, -10, 8, -5],\n [2, -7, -9, -9, 8],\n [-1, -3, -7, 5, -8],\n [6, -3, 3, -1, 3],\n [-1, -8, -2, -4, 5],\n [-4, -2, -8, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-462", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -8, 10, -3, 7, -7],\n [1, -6, 8, 10, -10, -5],\n [-10, 1, -8, 7, -10, 3],\n [7, -9, -7, 10, -6, 9],\n [-8, -10, 10, 9, 2, -1]]\nB =\n[[0, -6, -6, 1],\n [-7, 0, 1, 7],\n [0, 8, 0, -1],\n [-10, 10, -5, -9],\n [0, 5, -1, -3],\n [0, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 6, -8, 4, -3],\n [-1, 6, 4, 9, 9],\n [2, 7, 4, 3, 3],\n [10, -2, -7, -4, 6],\n [-6, -5, 3, 9, 4]]\nB =\n[[5, 5, 10, 0, -1, 10],\n [7, 6, 3, 5, -2, 6],\n [-7, -10, 2, -1, 4, -1],\n [-4, 0, -5, 10, 6, 1],\n [2, 3, 8, 5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 9, 8, 8, -7, -6],\n [-8, -4, 2, 7, 7, 9],\n [-3, -9, -8, -10, 8, 0],\n [-10, 5, 5, -2, -7, -6],\n [-5, -8, 4, -3, -7, -8]]\nB =\n[[3, 0, 1, 5],\n [5, -7, -10, -5],\n [-5, 9, 9, -4],\n [6, -6, 2, -8],\n [3, 8, -3, 5],\n [-3, 5, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 8, 7, 5, -10],\n [-6, -8, 8, -10, 2],\n [5, 4, -9, -5, 8],\n [-4, 2, -5, -3, 7],\n [-6, -9, 10, 7, -10],\n [8, -7, -5, 7, -4]]\nB =\n[[-5, -7, 2, 9],\n [-8, 5, -8, 9],\n [-8, 6, -3, 8],\n [-10, 9, 10, -7],\n [-6, -5, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1704", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 6, -7, 3],\n [3, -1, 6, 6],\n [1, -10, -6, -3],\n [-6, 9, -10, 0],\n [9, -1, -6, -1],\n [-10, -4, 3, -10]]\nB =\n[[-4, 8, 5, 1, 6],\n [-5, -4, -7, -10, 9],\n [-9, -8, -3, 6, 1],\n [7, -6, 5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1759", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 0, -10, 8],\n [7, -8, 6, 0],\n [-7, 3, 2, 2],\n [-3, -2, 5, 1]]\nB =\n[[-3, -3, -9, 2],\n [-8, -10, -7, 6],\n [9, 4, -5, -1],\n [-6, -10, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, -2, -3, -9],\n [9, -7, -10, 9, 1],\n [-9, 2, -10, 9, 7],\n [-4, -3, 9, -6, 5],\n [3, -9, 10, 6, -1]]\nB =\n[[8, 7, -4, 4, 3, 6],\n [-3, 6, -2, -6, -7, -8],\n [9, 0, -10, 4, 6, 10],\n [1, 2, -9, 2, -8, 8],\n [-9, -3, -3, -9, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[0, 10, 1, 4, -8],\n [-9, -7, 4, 7, 3],\n [6, 6, 8, 7, -3],\n [8, 3, -1, 10, -2],\n [-1, 5, -4, 7, -2],\n [-8, 7, -5, -1, -9]]\nB =\n[[-3, 9, -7, -9],\n [-2, -3, 9, -9],\n [0, -6, 9, -1],\n [-8, -7, 1, 5],\n [9, 7, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 9, -4, 4, 10],\n [4, -8, -2, 0, -9],\n [-2, -6, 9, 8, 5],\n [-2, 0, -2, 1, 1]]\nB =\n[[-4, -10, 4, 8, -1, -6],\n [-7, -4, 4, 8, -1, -1],\n [-6, 10, -6, -5, 2, 10],\n [-3, 4, 3, 7, 2, -9],\n [2, -4, -8, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -10, -6, 10, 4, 1],\n [10, 7, -9, 10, -10, 8],\n [4, -1, -5, 7, 4, -4],\n [-8, -1, 2, -7, -6, -2],\n [-3, 7, 2, -4, 1, 9],\n [-1, -7, -4, 6, -3, -6]]\nB =\n[[-2, 0, 10, -10],\n [-1, 9, -10, -2],\n [-9, 4, -1, 2],\n [-1, 4, -8, -2],\n [-8, 4, -3, 5],\n [7, 2, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-7, 8, 3, -1, -6],\n [-7, 4, 10, -3, 3],\n [6, 4, 5, 9, -2],\n [-6, 0, -10, 9, 5]]\nB =\n[[6, 1, 7, 10, 9, 9],\n [-6, -9, -3, -6, -1, 9],\n [6, -10, 7, 3, -9, 3],\n [3, 5, 0, -6, -5, -1],\n [1, -1, -9, -5, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, 7, -2, 8, -6],\n [-8, 2, -9, -1, 10, -6],\n [-4, 6, -9, -5, 5, -7],\n [10, 2, -3, -3, 9, -7]]\nB =\n[[-10, 7, -10, -3, -3],\n [4, -2, -7, -6, -7],\n [-2, 1, 5, -3, -1],\n [3, 1, -6, 8, -8],\n [0, 9, 7, 6, -9],\n [5, 5, 7, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1235", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-9, -7, 7, -5, 2],\n [-4, -10, -6, -4, -8],\n [9, -5, 1, -6, -3],\n [-10, -7, -5, 1, 9],\n [4, 4, -3, -3, 0]]\nB =\n[[8, -8, -4, 0, 6],\n [3, -2, 7, -4, -7],\n [-2, 1, -10, 2, 2],\n [2, 0, -10, 7, -1],\n [9, 3, 7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[4, 5, 4, 3, 1],\n [2, 5, 7, 4, -1],\n [10, 1, 6, -2, 10],\n [10, 0, -10, 1, 8]]\nB =\n[[2, 5, 7, 9, -10, -8],\n [-2, -1, 7, 8, -5, -6],\n [3, 2, 8, 8, 4, -1],\n [9, -8, -7, 5, 10, -10],\n [0, 8, 7, 5, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, 3, 0, 5],\n [8, -5, 1, 0, 5],\n [-1, 0, 2, 10, -8],\n [3, -6, -4, -4, 0],\n [-5, 2, -2, 3, 6],\n [0, -1, -9, -4, -2]]\nB =\n[[-5, 8, -4, -9, -7],\n [-7, 2, 9, -1, 8],\n [10, 1, 0, -2, -9],\n [10, 10, 4, -7, -2],\n [1, -4, -10, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1795", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-4, 7, -4, -6],\n [-10, 4, 7, -1],\n [9, -2, -5, -6],\n [-4, 9, -9, -3],\n [-6, -9, -2, 2],\n [5, 2, -7, 8]]\nB =\n[[-3, 2, -6, 0],\n [-1, 4, -9, 3],\n [10, 6, -8, 7],\n [-3, 0, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[10, 10, 5, -2, -2, -9],\n [1, -1, 3, -6, -10, -10],\n [9, 9, -5, 0, 10, 5],\n [-2, -2, -10, 10, -8, -9],\n [2, -9, 7, -3, -3, -9],\n [-4, -1, 1, -1, -7, -1]]\nB =\n[[3, 3, 3, -6, -7],\n [-10, 2, -9, 5, 7],\n [-3, 0, 0, 0, 6],\n [5, -2, -7, 0, 4],\n [6, 2, 9, -7, 4],\n [-6, -10, -4, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, -1, 0, -2, -10],\n [-6, 0, -8, -3, 2, -5],\n [-10, -5, -7, 8, 5, 9],\n [8, -5, -4, 4, -2, -5],\n [8, -10, -4, -2, 6, 10]]\nB =\n[[4, -7, -7, -4, 0],\n [-5, 4, -7, 7, 10],\n [-1, 4, -6, -7, 2],\n [-6, -4, 0, -3, -2],\n [5, 1, -2, 4, -1],\n [5, 10, -2, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[10, -10, 5, 3, 7],\n [4, 6, 1, 2, -9],\n [-10, 1, 1, 4, 4],\n [5, -3, -7, 5, -9]]\nB =\n[[0, -5, 3, 5, -3],\n [3, 1, 2, -2, -2],\n [-7, 10, 6, 7, 7],\n [-10, 7, -10, 1, -6],\n [-9, 7, -8, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 10, 2, 0, 0, 1],\n [1, -2, -2, 3, -9, 10],\n [7, -3, -6, 3, -4, 0],\n [-2, -2, 3, 6, -5, -1],\n [4, 6, -2, -10, 4, 8],\n [-2, -1, -4, 8, -6, -5]]\nB =\n[[0, -3, 1, -1],\n [3, 5, -2, 7],\n [9, 2, -3, 6],\n [-4, -8, 7, 4],\n [-10, -4, -5, -4],\n [-1, -7, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 10, 9, 0, 1, 0],\n [5, 8, -9, -10, 3, 2],\n [-3, 1, 0, -2, 6, 0],\n [-2, 1, 7, 8, 3, -3],\n [-3, 7, -1, 3, 3, 2]]\nB =\n[[-9, -2, 5, -4],\n [-3, -9, 7, 10],\n [-6, -8, 6, -10],\n [1, 6, 6, 8],\n [-10, -8, -1, 4],\n [-6, 4, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, 8, 5, 4],\n [1, 10, 10, -8, 2],\n [6, -7, -2, 10, -9],\n [0, -8, 7, -9, -7]]\nB =\n[[-1, -4, 6, 8, 7, -2],\n [-6, -1, 8, 2, -8, 1],\n [-1, 3, -5, -8, 8, 2],\n [0, 8, -4, -4, -9, -5],\n [-7, 5, 4, 7, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1767", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -5, 1, -9, -4],\n [10, 8, -1, 8, 5],\n [-3, -2, 6, 2, 8],\n [-3, 5, 2, 7, 1],\n [-7, -3, 10, -3, 10]]\nB =\n[[-10, -5, -2, 8],\n [2, -10, 8, 0],\n [-1, -5, -2, 8],\n [6, -3, -7, 4],\n [-8, -9, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "988", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[7, -7, 1, 5],\n [-6, 8, 1, -5],\n [-3, -2, 3, 8],\n [-9, -6, 0, -6],\n [7, 10, -1, -10]]\nB =\n[[10, -10, 1, 1, -8, 7],\n [-6, 0, -5, 5, 6, 7],\n [-6, -9, 4, -8, -5, 6],\n [6, -8, -7, 6, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-9, 3, 7, 9],\n [-4, 1, -7, 1],\n [7, 2, -3, -2],\n [4, -6, 9, -2]]\nB =\n[[10, -9, -1, 4],\n [1, -1, 2, 10],\n [-2, 10, 0, 0],\n [-3, -4, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-9, 10, -4, 1],\n [-7, 10, -1, 6],\n [-3, -8, -8, 2],\n [-10, -9, -5, -4],\n [-1, -8, -7, 6]]\nB =\n[[9, 1, 7, 2, -6],\n [5, 6, 9, -3, -5],\n [3, 4, 1, 7, 8],\n [-3, -10, 9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 7, 10, 6],\n [-10, -6, 9, 1],\n [5, -4, -8, 9],\n [3, -9, 0, 8]]\nB =\n[[-5, 6, 3, 3],\n [-5, -8, 7, -4],\n [6, 8, -7, 1],\n [4, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[6, -10, -8, 7, -1],\n [10, -7, 6, -1, 1],\n [6, -6, 8, 1, 0],\n [-4, 10, 10, 10, 4]]\nB =\n[[10, -6, -8, -1, 9],\n [3, -9, 10, -2, 9],\n [4, 3, -3, -8, -2],\n [-8, 1, -8, 5, 9],\n [-9, -5, 9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 1, 1, 7, -3],\n [3, -8, -10, -2, -6],\n [-10, -6, 1, -6, -4],\n [-5, 10, -9, 2, 9]]\nB =\n[[-1, 4, -6, 3, -1],\n [2, 10, 7, 0, -7],\n [9, -2, 10, 6, -2],\n [5, 0, 6, 1, 5],\n [1, 3, -7, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1474", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 0, -7, 6, -1],\n [-1, 0, 1, 5, 4, 2],\n [-1, 0, -9, -5, -10, 8],\n [-6, -8, -9, 3, 8, 4],\n [-7, 1, -2, 5, 4, -7]]\nB =\n[[-6, -1, 3, 10, 5, -7],\n [4, 3, 3, 2, -5, 8],\n [-5, -8, -9, 6, 1, 9],\n [1, -4, 4, -3, 3, -5],\n [10, -3, 7, 0, -7, -1],\n [3, 9, -2, -9, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -10, -9, -1, -9],\n [6, 8, -1, 9, 4],\n [-2, -6, -10, -7, 2],\n [-8, 6, -4, -9, 9]]\nB =\n[[4, 2, 9, -6, 9, -9],\n [-2, -4, 1, -4, 9, 3],\n [-4, 8, -1, 2, 5, 4],\n [-8, 1, 5, -5, -3, -9],\n [2, -8, -2, 10, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -1, 2, -9, 5],\n [-10, 6, 9, 5, 9],\n [-10, 7, -7, -2, 7],\n [10, 6, 0, -6, 9],\n [-1, 8, -4, -1, 6]]\nB =\n[[1, -3, -10, -5],\n [-5, 4, 9, 2],\n [10, 8, -1, -10],\n [-5, -4, 4, 1],\n [5, -10, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 7, -2, -10, 7, -6],\n [-4, 1, -6, -5, 9, 9],\n [-10, 1, 9, 5, -9, 9],\n [-5, -6, 1, 0, 9, 7],\n [9, -3, 7, 8, -8, -4],\n [5, -8, 4, 9, -9, 5]]\nB =\n[[10, 5, -1, 3, -5, -7],\n [0, 3, -5, 1, 4, 5],\n [-4, 3, -9, -8, 4, -3],\n [0, 7, 10, -8, -9, -2],\n [8, 1, -2, -10, -5, -5],\n [5, 7, -3, 10, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2237", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 4, 6, -9],\n [-7, 6, -7, 0],\n [6, 6, -9, 2],\n [-3, -2, 3, -6]]\nB =\n[[-4, -4, 9, 0, -7],\n [-5, 10, -7, 5, 9],\n [-4, 5, 8, -6, -4],\n [4, -4, -6, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1330", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[7, 0, 2, 5, 4, 3],\n [-1, 5, 2, 3, 10, 7],\n [1, 10, 10, -5, -3, 0],\n [-1, -4, 2, 9, 0, -9],\n [-10, -5, 1, 6, 6, -10]]\nB =\n[[0, -9, -3, -2, -1],\n [3, -4, -8, 6, -3],\n [-1, -2, 10, -4, -7],\n [7, -2, -8, -8, 9],\n [-5, 6, 5, 9, 9],\n [-5, 8, 8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 9, -6, 5],\n [-1, -9, -8, 10],\n [10, 6, -5, -9],\n [-4, 4, 6, -2],\n [-5, -10, -5, 4],\n [3, -7, -8, 10]]\nB =\n[[10, 1, 3, 1],\n [-8, -6, 6, -8],\n [-6, 5, 7, 3],\n [-9, -3, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, -6, -8, -7, 7],\n [-7, 1, -5, 1, -6],\n [7, -2, 7, 3, -7],\n [10, 4, 3, 6, -2],\n [-4, -9, 5, 9, 1]]\nB =\n[[-10, -3, 10, -7, -1],\n [7, 9, 1, 5, -2],\n [1, 7, 5, 8, 8],\n [8, 6, -9, 2, 9],\n [0, -6, -8, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-5, -10, 10, -2],\n [6, -3, 6, -10],\n [-2, 4, 3, -9],\n [-9, 2, 8, -3]]\nB =\n[[-1, 2, -8, 6, -3],\n [3, 5, 9, -4, 2],\n [1, -9, -2, 6, 7],\n [-3, 4, -6, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 1, -8, -3, -7],\n [-4, -9, 0, -6, -1],\n [-1, 0, 10, -4, 6],\n [-4, -1, 4, 9, 0],\n [9, 4, -2, 2, 3]]\nB =\n[[1, -3, 4, 8],\n [-3, -4, -4, -8],\n [1, -3, -8, 10],\n [6, 4, -7, -10],\n [1, -7, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, -9, 7, 8, -6],\n [3, -2, 10, -1, -1],\n [-6, -8, -10, -2, -9],\n [-8, -2, -9, 10, 9],\n [8, 4, 2, 9, -10]]\nB =\n[[9, 7, -2, -5, 6],\n [9, -4, 9, 4, 9],\n [0, -6, 9, -9, -6],\n [0, 10, 4, -2, -10],\n [9, 1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 9, 4, 1],\n [5, -1, -2, -10],\n [0, 1, -1, 6],\n [7, -8, -4, -10],\n [-10, 5, 5, -3],\n [-6, -5, 0, 7]]\nB =\n[[-4, -1, -6, 2, -4],\n [-5, 1, -3, 6, 9],\n [5, -5, -2, -8, 1],\n [7, -6, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 0, 2, -5],\n [-6, 7, 8, 0],\n [-2, 0, 10, 5],\n [6, -4, -6, -8],\n [1, -2, 4, 6]]\nB =\n[[7, 1, 8, 10, 2],\n [3, 0, 3, 2, -9],\n [5, 0, -8, 9, 7],\n [7, -7, 1, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 10, 8, 3, 4],\n [-5, -4, 8, -10, 10],\n [-9, 6, 10, 4, -5],\n [-10, 3, 9, -2, -10],\n [-7, -6, 8, 3, 9],\n [7, 7, -3, 8, -10]]\nB =\n[[-7, -5, 8, 4, 4],\n [2, -1, -3, 5, 6],\n [-3, 9, 8, 3, 9],\n [9, -6, 1, 10, 1],\n [3, -8, 4, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -1, 0, -9],\n [-8, -4, 8, 3],\n [10, -8, -9, -8],\n [-10, 8, 6, -8],\n [5, -10, -8, 8]]\nB =\n[[7, -8, -5, 5],\n [-7, -1, 3, 10],\n [-5, 3, 0, 5],\n [-1, 2, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-3, -9, 3, -9, 4],\n [0, -2, -9, 7, 1],\n [9, 0, 6, -8, -10],\n [0, 5, -4, -9, -10],\n [-1, -10, -6, 2, -3],\n [3, -9, -7, -5, -4]]\nB =\n[[10, 7, 4, 6, -5],\n [6, 3, -9, 2, -4],\n [-6, -1, -7, 0, -7],\n [-9, 10, 5, -7, 8],\n [5, 9, 8, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 8, -8, -6, -7, -8],\n [-9, -2, 2, 7, 5, 9],\n [-5, 4, -5, -10, 6, 1],\n [-8, 7, 9, 1, -3, 9],\n [-4, -4, -10, -7, 2, -2],\n [-10, 6, -3, -6, -6, 5]]\nB =\n[[10, -4, 7, -1, 7],\n [-3, -10, 4, -2, 6],\n [2, 4, 5, -4, -5],\n [10, 7, -10, 10, 2],\n [-2, -6, -10, 5, -6],\n [-7, -5, -6, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[10, 2, 2, 9, 6],\n [-4, -5, -4, 0, 8],\n [-10, 5, -8, -5, -7],\n [-2, 10, 5, -6, -6],\n [-3, -8, 1, 10, -1],\n [1, -4, 6, -9, 9]]\nB =\n[[-4, 3, 0, -10, 0, -10],\n [-2, 7, -4, 7, -7, -9],\n [8, 4, 2, -9, 8, 9],\n [-8, -3, -3, 1, -3, -2],\n [4, -7, 7, 3, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -4, -7, -8],\n [-4, 0, -8, -6],\n [0, 8, 5, 10],\n [-7, 3, 0, -8],\n [-9, -3, 9, 2]]\nB =\n[[-2, 3, 3, -4],\n [6, 2, -6, 4],\n [-4, -9, -2, 0],\n [-5, 0, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -10, 0],\n [7, 0, -3, -3],\n [-10, 4, 4, -2],\n [10, 9, -1, 4]]\nB =\n[[-4, -2, 10, -4, -2],\n [-8, -7, -3, 9, 3],\n [-8, -9, -8, -3, -4],\n [8, 6, 4, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 3, -3, 9, 0, -1],\n [-4, -4, 7, -4, -5, 5],\n [-8, 7, 7, -2, 10, -9],\n [-9, -2, -7, 4, 0, -8],\n [6, 5, 3, -7, -10, 7],\n [8, 7, 3, -7, -9, -2]]\nB =\n[[-7, 1, -4, 3, 6],\n [7, 2, -1, 10, 10],\n [4, -6, -10, -4, 2],\n [-4, -3, -5, -2, 2],\n [6, 3, 3, 9, 4],\n [7, -8, 7, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -8, -5, -6],\n [-1, -6, 10, -2],\n [-10, 9, 1, -10],\n [-3, -4, -7, 4],\n [10, 10, 6, -10]]\nB =\n[[5, 0, 2, 6, 9, 1],\n [-1, -2, 7, -10, -2, -5],\n [-7, -7, -2, -7, 8, 9],\n [-7, 6, 1, -7, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2046", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[1, -4, 5, -2, 6, 4],\n [6, 8, 8, 5, 7, 10],\n [-5, 2, 5, -7, -3, -8],\n [-9, -5, 8, -5, 2, -3]]\nB =\n[[-7, -10, 10, 7, 2],\n [5, -10, -9, -9, -7],\n [3, -7, 9, 2, 9],\n [10, 7, 3, 8, 9],\n [-10, 8, -9, 0, -4],\n [9, -5, 9, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 9, 3, 1, 4],\n [2, 10, 10, -1, 0],\n [1, 6, -9, 4, 0],\n [4, -3, 4, -8, 7],\n [5, -5, 0, -8, 1]]\nB =\n[[5, 7, 10, 7, -8, 3],\n [-1, 6, -1, 8, 10, -9],\n [10, 0, -5, 5, 7, -7],\n [-8, 3, 8, -6, 5, -3],\n [8, -1, -9, -1, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 4, -8, -8, -2],\n [-10, -3, -9, 8, 2],\n [-9, -3, -2, -10, -1],\n [10, 0, 4, -2, -2],\n [-10, 7, -10, 6, 3],\n [-4, -2, 5, 6, 2]]\nB =\n[[-9, 8, 0, -6, 10],\n [-6, 10, -3, -2, 9],\n [4, 4, 3, -9, 10],\n [-7, 5, -5, -7, -1],\n [9, -8, -7, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, 8, 8, -9, -4],\n [6, 4, -10, 8, 1, -9],\n [-2, -3, 5, -3, -2, -7],\n [5, 0, -2, -10, -9, -1],\n [-10, -1, -5, 2, 8, 9]]\nB =\n[[-6, 10, -8, 0, -1],\n [-10, -2, -3, 5, -8],\n [-8, -4, 2, 10, -5],\n [9, 5, 1, 3, -7],\n [9, 7, -8, 9, 7],\n [2, -1, -2, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 9, -9],\n [6, -8, -10, 3],\n [-10, 1, 10, 4],\n [0, 5, -4, 4]]\nB =\n[[6, -4, -10, 4, -4],\n [-7, 5, 8, 0, 5],\n [-9, 10, -10, -1, 2],\n [-2, -9, -5, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -10, 1, 10, 0, 7],\n [4, -1, -2, -10, 9, -7],\n [6, -7, 6, -9, 5, -8],\n [2, 1, -4, 1, -5, 3]]\nB =\n[[-9, -4, -6, -8],\n [3, 8, 5, -10],\n [1, 4, 1, -2],\n [-5, 6, 7, 5],\n [10, -1, -9, 7],\n [-3, -2, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-485", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -4, 8, -9],\n [10, 3, -2, -7],\n [-6, 0, -10, -5],\n [-5, 4, 2, -7]]\nB =\n[[-1, 1, 8, 5, 9, -2],\n [9, -5, 6, -4, 2, 8],\n [0, -5, -5, -9, -3, 8],\n [-9, 8, 5, -1, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[5, 4, 0, 0, 2],\n [9, 8, 2, 9, 10],\n [6, 1, 1, 1, -3],\n [-2, -2, 3, -8, 9],\n [4, 3, -4, 4, -5],\n [-7, -10, -3, 8, 6]]\nB =\n[[-10, 8, 7, -8, 7],\n [-9, 6, -6, 6, 3],\n [-2, -8, -5, -10, -2],\n [4, -6, -7, 10, 5],\n [0, 2, 10, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, 1, 4],\n [6, -6, -8, -4],\n [-9, -9, 0, 9],\n [10, 8, 9, -1],\n [5, -5, 3, -4],\n [-1, 9, 6, 9]]\nB =\n[[-4, -6, -3, -3],\n [10, 1, -7, 9],\n [9, -10, 6, 4],\n [-2, -9, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1797", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 8, 10, -5, -1, 8],\n [-1, 2, -5, -2, -3, -5],\n [4, 4, -10, 4, 0, -7],\n [6, 10, -4, 3, -2, 9],\n [9, 5, 9, -10, 8, -7],\n [-3, 6, 3, 5, 1, 0]]\nB =\n[[-4, 0, 6, 10, 3, -6],\n [-9, -8, 4, -5, 10, -3],\n [2, 5, 3, -3, -4, -2],\n [-4, 6, 5, -5, -4, 0],\n [-8, 5, 7, 2, -10, -9],\n [6, -1, 0, 6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2046", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, -7, -8],\n [-9, 9, -6, 2],\n [-6, 0, -5, 8],\n [-7, 10, 7, -8],\n [-6, -1, -2, -6]]\nB =\n[[1, -6, -2, -4, 4, 6],\n [3, 0, -9, 6, -7, -1],\n [8, 10, -6, 9, 10, -9],\n [-7, 3, 10, 5, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -4, 3, 1],\n [10, 5, 10, -4],\n [1, -6, -9, 2],\n [10, -8, -8, 1],\n [10, -2, 7, 0],\n [9, 0, -6, -1]]\nB =\n[[-8, 1, 5, -7, 3],\n [-7, 1, 4, 2, 0],\n [10, -6, -1, -8, -4],\n [4, -2, -4, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1551", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 6, -1, -9, 2],\n [-1, 3, 1, -1, 9],\n [-1, -6, 2, 10, 1],\n [7, 9, -5, 3, -1],\n [-2, 3, -3, -7, -3],\n [0, -10, 1, -8, -4]]\nB =\n[[2, 7, 2, 3, -7, -4],\n [2, -4, 9, 8, -9, -8],\n [3, 9, -7, 3, -4, -10],\n [-9, 10, -6, 6, 3, -1],\n [-2, 6, -5, 8, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2498", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -6, 8, 0, 7, -10],\n [9, 3, 8, -4, 4, 8],\n [10, 4, -9, 3, -5, 3],\n [7, -6, 5, 5, 7, -10],\n [4, 7, 9, 4, 0, -4]]\nB =\n[[-7, 5, 9, 4, 7],\n [4, -6, -5, 4, -6],\n [4, 9, -6, -4, 4],\n [-3, -9, 1, 4, 9],\n [-2, -6, 7, 9, -2],\n [-1, 2, 3, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1523", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -2, -7, 6, 10, -3],\n [-2, -10, 2, 9, 1, -2],\n [-6, 0, -2, -1, 4, 0],\n [6, 8, -9, 9, -1, 4],\n [7, 8, -3, 1, 0, 5]]\nB =\n[[1, -2, -6, -3, -1, 1],\n [3, 3, 10, -5, -9, 3],\n [-9, 7, -5, -2, 9, 2],\n [3, 5, -1, 3, -7, 5],\n [8, -2, -2, -2, 6, 10],\n [4, -5, 0, -1, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, 4, 8],\n [5, 10, 7, -9],\n [6, -9, 10, -5],\n [8, 1, -10, -5],\n [-1, -4, -6, 9]]\nB =\n[[2, 2, -4, -3],\n [0, -7, -6, -5],\n [10, -9, -7, 5],\n [3, -9, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -3, -3, -7, 2, -7],\n [3, -6, -7, 10, -7, 2],\n [-9, 4, 8, 7, -10, -4],\n [7, 4, -4, 0, 10, -5]]\nB =\n[[9, 3, 8, -1],\n [0, 5, -6, -5],\n [8, 8, 0, 6],\n [-4, 8, 9, 9],\n [6, 9, 2, -10],\n [-2, 5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 5, -2, -9, 6],\n [-3, -5, 5, 3, 3],\n [6, -5, 0, 7, 7],\n [-1, 1, -8, -9, -5]]\nB =\n[[-4, 8, -7, 5],\n [4, 1, 2, -3],\n [7, -6, 10, -1],\n [-9, -7, -10, 6],\n [-7, -8, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -1, 0, 1, -3],\n [-8, -9, 2, 10, -4],\n [-2, -6, -10, 4, 0],\n [1, 8, -3, -4, -3],\n [-3, -8, 7, 9, 1]]\nB =\n[[-3, -2, 3, 9, 1],\n [8, -9, 8, 4, 10],\n [-2, -8, -3, 3, -4],\n [-5, -10, -6, 1, 4],\n [-9, -10, 1, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 3, -3, 6, -6],\n [8, -10, 6, 1, 0],\n [-1, -3, 9, 2, 10],\n [5, -2, -5, 10, 2]]\nB =\n[[0, -10, -1, 7, -8, 5],\n [-7, -10, 8, -4, 3, -10],\n [4, -1, -9, -2, 0, -9],\n [9, -1, 7, 3, -6, 10],\n [10, 10, 7, 10, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -6, 0, 1, -8, 1],\n [-10, 3, 8, -7, -6, 0],\n [5, 6, 10, 9, -6, 2],\n [-3, 8, -1, 10, -1, 1],\n [7, 3, -9, -2, -6, -3],\n [-7, -10, 3, 2, 7, -5]]\nB =\n[[-3, 6, 7, -1, -6, -5],\n [-6, 8, 4, -10, -5, 1],\n [1, 5, 0, -3, -8, -4],\n [5, -10, -4, 0, 5, 8],\n [-9, -8, 10, -6, -8, -5],\n [7, 8, -3, -10, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -10, 3, 3],\n [-6, 6, -6, -8],\n [-3, -2, 6, 1],\n [6, 10, -10, 4],\n [-7, -9, 6, -4]]\nB =\n[[3, 0, -6, 3],\n [7, -10, 7, -3],\n [8, -3, 6, -2],\n [-4, 10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "894", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 4, 0, 9, 5, -7],\n [-10, -6, 8, -3, 6, 10],\n [5, -9, 8, 4, -4, 3],\n [-2, 3, -6, 6, 0, 4],\n [-1, 5, 7, -7, -9, 7],\n [-10, -6, -8, -8, 7, 9]]\nB =\n[[-10, 2, -5, 3, -3],\n [5, 2, -1, 0, -9],\n [9, 0, -8, 8, 8],\n [3, -6, -2, -2, -8],\n [-5, 6, 8, -3, -2],\n [3, -4, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[4, 5, -10, -8],\n [0, 3, 4, 3],\n [-9, 10, -1, 2],\n [-9, 6, -4, -4]]\nB =\n[[4, 7, -6, 4, 3],\n [-9, 4, 1, 6, -10],\n [8, -1, -7, -8, 9],\n [-4, -2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[6, 3, 0, -6, 5, -8],\n [4, 9, 6, -2, 1, 3],\n [6, 4, -9, -10, -10, -3],\n [0, 10, 0, -9, -2, -4]]\nB =\n[[0, -5, -3, -3],\n [-2, -10, 1, 7],\n [-4, 7, -2, 10],\n [3, 3, -3, 10],\n [0, -10, 5, 6],\n [1, -8, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 3, -6, 10, 0, -3],\n [6, 8, 2, 8, -10, -5],\n [-5, -1, -3, -6, -2, -10],\n [-9, -8, -8, 8, -4, -6]]\nB =\n[[6, 8, -4, 9, 1],\n [4, -1, 5, 9, 5],\n [-3, 7, 8, 8, 8],\n [-10, -7, -5, -3, 9],\n [-3, -3, -8, -2, 9],\n [-6, -6, 5, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -7, 9, -1, -9],\n [-6, 10, -5, 2, 8],\n [-10, 4, -3, -4, 5],\n [-1, 6, -3, -9, 6],\n [-4, 7, -3, 7, 1]]\nB =\n[[3, 0, 9, 7, 10, -6],\n [-4, -4, -7, 4, 2, -10],\n [-7, -2, -9, 5, -8, 6],\n [1, -2, -10, -6, 10, -10],\n [-9, -3, 4, -1, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-727", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -10, 1],\n [8, 1, -6, 1],\n [5, 7, -8, -4],\n [1, -7, 0, -7],\n [-10, -5, -4, 6],\n [-8, 3, -7, 4]]\nB =\n[[2, -3, 3, 8],\n [-7, -7, 5, -1],\n [-7, -8, -4, -1],\n [-4, 9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 8, 9, -6, -9],\n [-9, -10, -5, -9, 4],\n [-3, -4, -9, 0, 4],\n [-2, 4, 3, 6, -4],\n [-8, 2, 6, 0, 3]]\nB =\n[[-5, -1, -8, 0, 9],\n [7, -7, -6, 9, -2],\n [10, 8, 9, 1, 3],\n [1, -10, 9, 7, 5],\n [-9, 8, -5, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 6, 9, 4, 1],\n [9, 9, 1, -2, -10],\n [6, -1, 1, -7, -2],\n [6, -1, -8, -8, -1],\n [-5, -7, 10, 4, -5],\n [-7, -6, 4, 0, -7]]\nB =\n[[-7, -10, -7, -9, -6, 5],\n [-3, -9, 0, 4, 2, -1],\n [1, -7, 0, -7, 5, -6],\n [-9, -8, 6, -10, 1, -6],\n [-8, 0, 0, 7, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[-9, -6, 7, -2, 3],\n [-8, 3, 0, 9, 4],\n [1, 2, 7, -10, 3],\n [3, 7, 3, -6, -4]]\nB =\n[[-6, -2, -7, 0, 3, 10],\n [-6, -7, 2, -8, -8, 3],\n [3, -7, -8, -2, 6, -5],\n [-9, -3, -7, 8, -7, 3],\n [1, -1, -3, 7, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 10, -2, -6, -9, -10],\n [-2, -4, 7, 6, -4, 8],\n [-1, -10, 5, -2, -10, -6],\n [-10, -5, 0, 2, 6, -7],\n [-5, -9, 5, -1, 7, 4]]\nB =\n[[-2, -8, -1, -10, 10],\n [6, 4, -3, 1, 5],\n [5, 2, -10, 7, 7],\n [-1, 1, -10, 9, 4],\n [7, 0, 8, 7, -10],\n [8, -9, -6, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -9, 4, 8, 6],\n [6, 5, -7, 9, 3],\n [-1, 4, -4, 9, 0],\n [-7, -10, -3, -1, -10],\n [8, 1, -3, -1, 3]]\nB =\n[[4, 8, 0, 0],\n [2, -2, -6, -8],\n [-6, 8, -3, 2],\n [1, -8, -7, -6],\n [7, 6, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, 1, 9],\n [-2, -4, -7, 7],\n [0, 2, 2, 7],\n [-8, -5, -6, -10],\n [4, -8, 4, -1],\n [-4, -5, -6, 6]]\nB =\n[[-8, -7, -2, 8, -2],\n [3, 7, 10, -3, -6],\n [2, 10, -5, 5, -5],\n [-7, 3, 10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -7, 5, 1, -4],\n [2, 10, 7, -1, -5],\n [-10, -10, 2, -8, 8],\n [3, -4, 8, 6, -10],\n [-6, -7, 2, 0, -2]]\nB =\n[[1, -1, -10, -1, -8],\n [1, -6, -3, 0, 10],\n [-2, 4, -4, 5, -3],\n [-5, -6, 6, 10, 7],\n [6, 4, 6, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1395", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 6) of the product of the following matrices:\nA =\n[[7, -8, 6, -8, -8, -9],\n [5, 7, -6, 8, -2, -1],\n [8, 10, -8, -10, 5, -10],\n [9, 5, 3, -3, -6, 9],\n [-2, 6, -5, -7, 2, -6],\n [-5, -4, 4, 10, 0, 5]]\nB =\n[[5, -2, 5, -6, 0, -10],\n [-4, -3, 5, -5, 9, -7],\n [-2, 10, -10, -3, 10, 6],\n [4, 4, -9, 10, 7, -1],\n [5, -1, 2, 9, 8, 4],\n [3, 3, -6, 1, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 3, -4, 10, -5],\n [-3, 6, -10, 0, 7],\n [2, 8, -3, 10, 4],\n [-8, -3, -8, -9, -3]]\nB =\n[[-1, 9, 8, 7],\n [-2, -2, -2, -3],\n [9, -7, -8, 5],\n [9, -4, -5, -5],\n [-8, 10, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-476", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -7, 3, 9, -7, -10],\n [5, -9, 8, -5, 8, 9],\n [3, 4, 3, 1, 3, 3],\n [-7, -8, 4, -4, 9, -2]]\nB =\n[[-6, -5, -9, 4, 3, 1],\n [-1, -4, 3, -5, 1, 0],\n [-10, 2, 2, -9, 3, -8],\n [1, 5, -8, 8, 0, 7],\n [-9, 7, 3, -2, 3, 0],\n [-7, -9, 8, 3, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1765", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[4, -1, -3, 8, -4, -8],\n [2, 2, 1, -9, 10, 2],\n [2, -8, 8, -2, 10, -4],\n [1, -4, 8, -6, 8, 1],\n [-9, -1, -9, 8, -2, -8]]\nB =\n[[-5, 8, -4, -10, -5],\n [-2, -1, -5, 4, 2],\n [0, 2, -3, 7, 4],\n [4, 1, -8, -8, 7],\n [2, 8, -10, 8, -1],\n [4, 0, 3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 4, -7, 1],\n [3, 6, -4, -10],\n [-8, -2, 5, -1],\n [5, -10, 8, -3],\n [-4, -5, 0, -1],\n [-3, 10, 9, -9]]\nB =\n[[-2, -5, -5, 6],\n [8, -1, 9, 4],\n [2, -1, 4, 4],\n [4, 6, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1062", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[-9, 1, 0, 3, -4],\n [9, 9, -6, 7, -3],\n [4, 4, 1, 4, -3],\n [-8, -5, 8, 9, -4],\n [-7, 2, 2, -5, 3]]\nB =\n[[-6, 0, 2, 1, 2, 5],\n [2, -5, -3, -2, -2, 10],\n [0, -7, 3, 10, -8, 5],\n [0, -2, 1, -8, -10, -8],\n [8, 7, 1, -2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -7, -8, 5],\n [-1, 8, -10, 8],\n [-1, -10, 0, 10],\n [-8, -6, -8, -9],\n [-9, -1, -7, 9],\n [-2, -8, -10, 6]]\nB =\n[[-8, -5, 3, 2, -7, -5],\n [-9, -5, 0, 9, -7, 2],\n [4, 4, -7, 3, 2, 2],\n [-6, -4, 8, -10, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -8, -10, 3, -3],\n [5, 1, 5, -9, -9],\n [-3, 6, -3, -9, 1],\n [-1, 10, -9, -2, 3],\n [4, -10, 1, -2, 9],\n [10, 8, 9, -2, -7]]\nB =\n[[5, -5, 1, 9],\n [-10, -9, 9, 8],\n [0, 6, 6, 0],\n [-9, -3, 3, -8],\n [-7, 1, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -1, -9, -7],\n [-9, -6, 1, -7],\n [-2, 10, 6, 1],\n [-2, 8, -9, -5],\n [-6, -7, 6, 1]]\nB =\n[[-9, -8, 9, 10, -1],\n [7, -7, -7, -8, -8],\n [-6, 4, -6, -1, 8],\n [1, -9, -2, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 7, -4, 4, 1, 2],\n [8, -1, 8, 10, -6, 8],\n [-1, -7, -6, -9, 10, -9],\n [10, -3, 8, -9, -4, -4],\n [-2, -4, -6, 0, 7, 4],\n [0, 0, -8, -3, -10, 0]]\nB =\n[[-5, -4, -1, -1, 3, -3],\n [7, 2, 4, -8, -3, -3],\n [-2, -2, -4, 8, 4, 10],\n [-1, 10, 5, -8, -7, 1],\n [8, -1, 9, 0, 4, 9],\n [-6, -5, -3, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 0, -3, -2, 3, -5],\n [5, 1, -4, 10, 8, 4],\n [10, -4, -1, -10, -6, -9],\n [-2, 3, 8, 9, -3, 7]]\nB =\n[[8, 5, -7, -4, 3],\n [8, -7, 1, -6, 9],\n [-1, 6, 8, 3, -8],\n [6, 0, 4, 6, -2],\n [-2, 7, -3, -9, -1],\n [10, -6, 2, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[3, -6, 6, 3, -5],\n [-2, 6, 4, 5, -4],\n [9, 9, 10, -10, 10],\n [-6, 10, 3, -8, -1],\n [8, -10, -2, -2, -10],\n [-9, 1, 7, 2, -7]]\nB =\n[[0, -8, -7, 0, -9, -9],\n [-3, 3, 6, 9, -9, 9],\n [-7, -3, -10, 8, 4, 4],\n [-9, 10, 4, -8, 0, 8],\n [9, 4, -8, 7, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 10, -5, -4, -1, -3],\n [5, -1, -2, -9, 6, 0],\n [6, -10, -1, 5, 6, 9],\n [2, 9, 0, -7, -7, -10],\n [-4, -9, 2, 10, -2, -3]]\nB =\n[[3, -9, 5, -4, 5, 1],\n [-9, -9, 2, -1, -4, -10],\n [-1, 2, 1, -7, 6, -3],\n [-3, -4, -7, 8, -10, -7],\n [4, -5, 4, 5, -4, 5],\n [3, -10, 8, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[7, -9, -9, 2, -10, -1],\n [8, 1, -5, -3, -10, 1],\n [-7, 9, 2, -1, -4, 2],\n [8, 7, -1, 4, -4, -10],\n [5, 4, 6, 1, 8, 9],\n [10, -6, 9, -8, -2, 2]]\nB =\n[[9, 10, -2, -1, 10],\n [6, -7, -9, -9, -3],\n [-8, 10, -4, 10, 8],\n [6, 2, -2, -7, -2],\n [7, -1, 8, -2, 10],\n [-3, 1, 7, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -3, -5, -3, -5, 5],\n [-3, 5, 9, 2, -4, -7],\n [1, -5, -8, 6, 8, -8],\n [10, -5, 0, 1, 2, -6],\n [3, 0, -7, -6, -5, 0],\n [0, 5, 7, 0, 6, 1]]\nB =\n[[4, -8, -10, 7, -6, 1],\n [0, 7, 0, -9, -1, -8],\n [-3, -6, 8, -3, -1, 5],\n [2, -8, 1, 9, 8, 10],\n [9, -9, -1, 4, 3, 3],\n [-5, -8, 0, -10, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2586", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 0, -2, 1, -7, 4],\n [5, 4, -7, -7, 0, -7],\n [2, -10, 1, -1, -5, 6],\n [9, 0, -1, 4, 5, -3],\n [-9, 10, -1, 7, -3, 4]]\nB =\n[[-10, 8, 6, -4, 2, 2],\n [10, 9, -4, -7, -7, -3],\n [8, 2, -5, 2, -6, -2],\n [0, 10, -4, 6, 0, -7],\n [6, 7, -1, 1, 9, 7],\n [5, 2, -10, 9, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2246", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 10, -2, 1],\n [10, 10, -10, 8],\n [-10, 10, 3, 4],\n [-5, -2, -8, 2],\n [5, 9, 7, 10],\n [3, 6, -6, -8]]\nB =\n[[2, 5, 2, -6, -6],\n [1, 8, 5, -7, 1],\n [8, 3, 7, -10, 8],\n [6, 6, 1, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0, 2],\n [7, 1, -7, 9],\n [3, -7, -6, -9],\n [6, 1, -6, 6],\n [-8, -5, 5, 1],\n [2, -6, -9, 5]]\nB =\n[[-8, 10, 5, -3, -5, -2],\n [-9, -10, 7, -7, -6, -5],\n [-3, -1, 6, -3, -9, 3],\n [1, 8, -1, -8, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1932", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -1, -1, 4, -9],\n [-5, -3, -2, -8, -8, -4],\n [2, 3, 4, 2, 5, -2],\n [-1, -8, 2, 10, 0, -9],\n [3, 5, -9, -2, 7, 0],\n [6, -9, 2, 3, -6, 9]]\nB =\n[[10, -2, 6, 6, 1],\n [-9, -2, 6, 3, 7],\n [7, -1, -9, 4, 2],\n [0, -7, -3, 2, 1],\n [-2, -6, 7, -2, 2],\n [5, 6, 8, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-5, -9, 6, 7, 10, 2],\n [-5, -8, 6, 4, 2, -4],\n [5, 9, -9, -2, 8, 8],\n [-3, 2, -4, -1, -2, 2],\n [2, 1, -4, -2, -8, -1]]\nB =\n[[4, 5, 9, 0],\n [-5, 6, 1, -3],\n [-7, -1, -8, -5],\n [4, 4, 5, 9],\n [-9, 7, -8, 4],\n [5, 5, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, 8, 9, -2],\n [-6, -9, 5, 5],\n [0, 7, -9, 0],\n [-9, 10, 4, -8],\n [7, -4, -2, -6],\n [3, -8, 10, 3]]\nB =\n[[-4, -9, 10, 10, -10, 0],\n [3, -10, -2, -9, 0, 0],\n [-1, -7, 10, 5, 5, -10],\n [4, -2, 7, 6, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -6, 0, 7],\n [-9, -2, 7, 9],\n [-2, 10, -3, 10],\n [-9, 3, -10, 5]]\nB =\n[[10, -6, 7, 7],\n [10, -7, 6, 6],\n [-3, 8, -10, -10],\n [7, -5, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-605", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -10, -8, 8, 3],\n [-5, -9, -5, -1, -9],\n [0, -8, -10, -7, 9],\n [7, 8, -2, 8, 6],\n [-4, 0, 7, 6, 2],\n [-1, -5, 8, 0, 10]]\nB =\n[[1, -3, -7, 10, -1, 6],\n [5, -9, -6, -4, 2, 5],\n [9, 3, 1, -1, 0, -9],\n [-2, -8, 5, 10, -1, 8],\n [7, -8, 10, 4, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 6, 3, -9],\n [-6, -6, 10, -3],\n [7, 3, 4, 0],\n [4, -10, -1, -6],\n [4, -2, 9, 4],\n [1, 10, -5, 10]]\nB =\n[[3, 2, -2, 2, 2, -10],\n [0, 8, 10, 9, 2, 9],\n [-7, -4, -1, -4, -7, 4],\n [8, 0, 2, 10, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 5, -5, 4, -6],\n [0, -1, 9, 0, -5],\n [-5, -8, -2, -5, 7],\n [9, -5, 8, -6, 4]]\nB =\n[[-6, 9, -5, -6, -2],\n [-3, 4, 1, 4, 0],\n [6, 10, 2, 8, 8],\n [10, -5, 8, 9, 3],\n [4, -7, 5, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -5, -7, -1, -5],\n [9, -1, 9, 4, 9],\n [-6, 1, 5, 10, -6],\n [-10, 1, 7, -1, 9],\n [8, 4, 3, 4, 8],\n [3, -6, -9, -8, -4]]\nB =\n[[10, -8, 8, -4, 2, 0],\n [6, -8, 10, 9, 3, 3],\n [7, 4, 2, -6, 10, 2],\n [-7, -3, 6, 9, -6, -7],\n [4, 10, -8, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2181", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -4, 9, 10],\n [6, 10, 5, 6],\n [8, -10, -6, -9],\n [1, -2, -3, 10],\n [-1, -7, -5, -8]]\nB =\n[[-3, 5, 5, -5, -2],\n [-3, -7, -4, -9, -1],\n [6, 0, -8, -2, 9],\n [7, -5, 8, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, -2, -5, 9, 5],\n [-4, 8, -9, 9, 2, -3],\n [-9, -9, -10, -6, 3, 1],\n [8, -2, -8, 7, 9, -2]]\nB =\n[[9, -10, -9, -6, -5, 10],\n [10, 7, 3, -3, 2, -1],\n [-5, 7, 1, 2, 5, 8],\n [-10, -7, 1, 8, -9, 3],\n [0, 9, -2, 1, -1, 10],\n [7, 1, -5, -5, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -9, -3, 5, 2],\n [-3, -1, 1, -10, 0],\n [10, -10, 2, -9, -7],\n [-10, -1, -9, 5, 2]]\nB =\n[[1, -8, -6, -10, -7],\n [6, -1, 5, -3, -4],\n [-9, -10, -9, -9, 7],\n [-5, 6, -10, 7, -9],\n [5, -3, 3, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, 1, 7, -2],\n [6, -3, 3, -8, -9],\n [-10, 10, -9, -6, -9],\n [7, -10, -5, -10, -7]]\nB =\n[[-8, 6, -3, 6, 2],\n [0, -1, 7, -7, -6],\n [-8, 10, 7, 7, 5],\n [-2, 6, 5, 9, -5],\n [-7, -2, 6, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 1, -5, -6, -6, -4],\n [-5, -8, 6, -8, -3, 8],\n [5, -3, -2, -10, -9, 10],\n [6, -6, 0, 6, -2, 4],\n [10, -5, 4, 4, 9, 0]]\nB =\n[[-8, -3, 2, 1],\n [-3, 5, -9, 3],\n [-4, -7, -9, 6],\n [-4, -4, 5, 6],\n [10, 3, 10, 6],\n [0, 0, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-667", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, 4, -2],\n [-10, 8, 6, -3],\n [8, -9, 7, 6],\n [7, 5, 10, -3],\n [-8, 3, -2, -10]]\nB =\n[[-9, 8, -3, 3, -6],\n [-8, 4, 5, 4, 2],\n [-5, 4, 10, 0, -1],\n [-1, -8, -10, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, 3, 4, -3, -9],\n [-10, -7, -8, 8, -1, 1],\n [-6, 0, -3, -6, 5, 4],\n [-9, 9, -8, 7, -8, 6]]\nB =\n[[2, -2, 5, -1],\n [-1, 9, 5, -9],\n [-5, 5, 6, -7],\n [-8, 5, -3, 0],\n [-7, -1, -3, -4],\n [0, 6, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, -3, -8],\n [-9, 9, -1, 3],\n [2, -9, 9, -3],\n [-4, 5, 2, 2],\n [4, -10, 9, -4],\n [9, 2, -6, 0]]\nB =\n[[-5, 6, -6, 8],\n [-8, 6, -10, -5],\n [7, -4, -3, 8],\n [6, 6, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -1, 3, -4],\n [2, -10, 10, 10],\n [-7, 10, 9, -10],\n [-10, -10, 6, 1],\n [9, -2, -4, -2],\n [10, -1, -8, -4]]\nB =\n[[-5, -10, -1, -10, -9, 9],\n [4, 9, -10, -9, 5, 9],\n [-3, -5, -8, -2, -1, -10],\n [1, -6, 6, 7, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[10, -1, -7, -1],\n [-6, 3, -2, -10],\n [9, -5, -4, -6],\n [-9, -2, -4, 5],\n [-4, -1, -4, 7]]\nB =\n[[9, -6, 7, 10],\n [3, 6, -4, -8],\n [2, -6, 1, 8],\n [1, 1, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, 5, 1, -3, 5],\n [5, -4, -8, -4, -5, -4],\n [0, 7, 0, 8, 1, 4],\n [-2, -1, -2, 3, 7, -5],\n [4, 5, 6, -3, -7, -5],\n [5, 10, -7, 6, -4, 7]]\nB =\n[[2, 4, -10, -2],\n [3, -4, 7, -2],\n [6, 9, -3, 10],\n [-10, 9, 3, 10],\n [2, 0, 10, 4],\n [-2, -4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -5, -3, 7, 9, 1],\n [-7, 7, -7, -10, 9, 10],\n [-10, 0, 3, 7, 4, 9],\n [3, -2, -10, 4, 3, -7],\n [3, 4, -4, 10, 5, 1]]\nB =\n[[2, -10, 3, 4],\n [0, 8, 6, -6],\n [7, 8, 5, -9],\n [6, -10, 9, 1],\n [-9, 3, -10, -5],\n [-7, -8, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-880", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[0, 1, -5, -3, 7],\n [-8, 8, 4, 8, -1],\n [4, 4, 3, 2, -9],\n [2, 7, -3, 8, 0]]\nB =\n[[-9, 8, -9, -7],\n [-5, 9, -5, 4],\n [10, -10, -5, -8],\n [-10, -3, 4, 7],\n [0, -5, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 1, 5, 6],\n [-4, -6, 3, 1],\n [4, 8, 7, 3],\n [7, 5, 9, 5],\n [10, 6, 7, -6]]\nB =\n[[3, -1, -9, 3, 10, -3],\n [-7, -4, 8, -5, -7, 10],\n [-7, -6, -5, -3, -10, 6],\n [10, 4, -10, -7, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1601", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -10, -10, 1, -1],\n [-4, -7, -4, 4, -7, 8],\n [3, 9, -2, 10, 1, -10],\n [4, 10, 9, -4, 9, -4]]\nB =\n[[-10, -8, -5, 7],\n [-4, -3, -5, 2],\n [8, 8, 5, -8],\n [2, -1, 8, -8],\n [5, -9, 7, 0],\n [-7, 4, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-472", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -1, 0, 5],\n [-6, 7, 7, 4],\n [-7, 5, -9, 10],\n [3, 1, -7, 7]]\nB =\n[[9, 10, 0, -1, 7, 3],\n [6, 0, -7, -5, -9, 6],\n [6, -7, 3, -2, -7, 10],\n [-7, 9, -10, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-981", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[3, 10, -6, -2, -1, 5],\n [-9, -8, -6, -7, 7, -6],\n [5, 10, -7, 10, 9, 5],\n [6, 5, -4, -3, -10, -8]]\nB =\n[[-3, -8, 3, -9],\n [-4, 3, 4, 1],\n [-5, 2, 8, 3],\n [-3, 4, 4, 10],\n [-1, 4, 4, -6],\n [-4, 9, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 4, -9, 4, 5],\n [8, 2, 6, 0, -8],\n [3, 7, 10, -8, 2],\n [4, 0, -1, -10, -5],\n [-4, -5, -1, 1, 10]]\nB =\n[[7, 10, 5, 4, -5, -6],\n [7, -2, -5, 3, 1, 6],\n [6, 6, 4, 9, 9, 0],\n [-2, -7, 2, -8, -7, 9],\n [-7, 2, -2, -10, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "553", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 5, 1, -1],\n [5, -10, 0, 6],\n [10, 6, 7, 0],\n [-3, 6, -9, 0]]\nB =\n[[2, -6, -3, 2, -2],\n [10, 8, -4, 8, 3],\n [-2, -3, -5, -2, 2],\n [0, 1, 0, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[3, -4, 7, -6, 3, -2],\n [-1, -2, 3, 4, 4, -3],\n [-4, -6, -9, 4, 10, 6],\n [7, -6, 8, -6, 10, 0],\n [-5, -10, 0, 7, -3, 2],\n [8, 9, 1, 9, 4, -9]]\nB =\n[[-7, 5, -3, 0, 10, 3],\n [4, -8, 9, 7, -3, -9],\n [-10, 8, -5, 5, -5, -8],\n [3, 7, -8, -2, 5, 5],\n [-2, 0, -7, -8, 4, 3],\n [10, -5, -6, -3, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -10, -2, 1, 0, -9],\n [3, -8, -3, 1, 10, -5],\n [-9, -2, 10, 0, 5, 9],\n [-2, -5, -2, -2, 6, 2]]\nB =\n[[-10, -6, -6, 3, 5],\n [-10, 1, -1, -10, -6],\n [-4, 4, 7, 1, 9],\n [1, -4, 3, 10, 10],\n [1, 2, -7, 0, -8],\n [-6, -5, 3, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, -2, -8, -3, 9, -1],\n [-9, -10, -9, -9, 0, 3],\n [8, 9, 8, -7, -1, 0],\n [-1, -6, -7, -10, 6, -4]]\nB =\n[[-4, -2, -3, 5],\n [-6, -5, -3, 2],\n [6, 10, -7, 10],\n [-6, 6, -5, 7],\n [3, 2, 4, 2],\n [-3, 1, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -3, 4, 4, 7],\n [9, 1, 4, 2, 8],\n [9, 1, 6, -2, -5],\n [1, -9, 2, -8, -4]]\nB =\n[[-1, 5, 4, -4, 6, 3],\n [-5, 1, 6, -9, 1, 9],\n [2, -4, -4, 10, 7, 2],\n [-4, 7, 7, 5, 7, -6],\n [-5, -7, 7, -10, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[3, 6, -4, 2, 0, 1],\n [4, 4, 5, 0, -3, -3],\n [6, 6, 4, 10, -1, -10],\n [8, 5, -8, 9, 0, 2]]\nB =\n[[5, 7, 7, 2, 3, -7],\n [1, 3, -6, -4, 6, 9],\n [-7, -10, 6, 0, -7, 9],\n [10, 8, 1, -2, -8, 3],\n [10, 2, 3, 6, -9, -2],\n [10, -7, 8, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -6, 1],\n [-5, -2, 10, 9],\n [-10, 7, 1, 2],\n [-4, 6, 1, -3]]\nB =\n[[10, 4, 9, 9],\n [10, 6, 2, 2],\n [-6, -4, 7, 1],\n [-4, 8, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -9, -4],\n [-1, -1, 3, 4],\n [-6, 10, 7, 6],\n [-2, -5, -10, -7]]\nB =\n[[-2, 3, -9, -6, -4],\n [-2, 8, 2, -6, 2],\n [6, 10, -1, 8, 6],\n [2, -6, -4, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 1, -1, 6],\n [-10, 7, 1, 6],\n [-8, 3, -1, 7],\n [-5, -9, -1, -10],\n [5, 3, -9, -9],\n [1, 5, 10, 6]]\nB =\n[[10, 1, -8, 8, 6, -9],\n [2, 9, -1, 3, 7, 3],\n [-6, -4, -4, 9, 5, -2],\n [-4, 2, 10, 0, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -8, -5, -4, -1, 9],\n [10, -4, 2, -9, 9, 6],\n [-2, 9, 9, 8, 2, 5],\n [0, -1, -10, -1, 4, -1],\n [-10, -4, -9, 1, -9, 4]]\nB =\n[[-1, -6, -9, 10],\n [1, 7, 2, -6],\n [9, -6, 3, -7],\n [-8, 1, 0, 4],\n [6, -6, 9, -6],\n [-10, 8, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[7, 9, 7, -10, -5, 1],\n [-2, 9, 6, -7, 2, 2],\n [10, -9, -6, -3, 7, 4],\n [-3, 7, 4, 1, -1, 9]]\nB =\n[[0, -9, 5, -5, 7],\n [0, 0, 2, 9, -10],\n [-1, 1, -8, 3, -1],\n [-9, 6, -3, 2, -6],\n [3, 9, 2, 2, 2],\n [-9, -5, 2, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 10, -7, 9, 7, -1],\n [-10, 7, 8, 2, 8, 0],\n [2, 0, -10, -9, -1, -1],\n [0, -6, 5, 7, -8, 4],\n [-3, -6, 3, -8, -3, 1],\n [8, 4, -7, 6, 7, -5]]\nB =\n[[-6, 0, 0, 7],\n [7, -2, -2, -1],\n [-10, -1, 3, -9],\n [-4, -9, -8, 6],\n [-1, 3, -1, -1],\n [-3, 2, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, -10, -8],\n [-6, -4, -6, -9],\n [-6, -6, 8, -2],\n [7, 1, -2, 2]]\nB =\n[[6, 7, -3, 3, 5, -9],\n [3, 1, -5, 3, -5, 3],\n [6, -8, -6, -1, 6, 8],\n [8, 10, 2, 9, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-656", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -7, -4, 10],\n [-5, -5, 5, 1, 1],\n [3, -6, -5, 7, -1],\n [-5, 8, 8, -2, -5]]\nB =\n[[9, 9, 1, -10, 2],\n [-2, -8, 1, -10, -7],\n [7, 5, 2, 8, 9],\n [2, -9, -7, -9, 7],\n [7, 5, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 8, -2],\n [-1, -5, -5, -4],\n [1, -7, 8, -4],\n [6, -5, -5, 4],\n [8, 10, -7, 2]]\nB =\n[[5, -10, 9, -10, 4],\n [1, 3, 3, -6, 0],\n [-2, -3, 0, -2, -7],\n [9, -4, -5, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 10, -4, 2],\n [-10, 1, -7, -2],\n [3, 9, 4, 2],\n [-2, -10, 5, -9],\n [-3, -10, -7, 4]]\nB =\n[[2, 7, -4, 0],\n [6, -9, -8, -1],\n [10, -8, -2, -7],\n [-8, 10, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, -1, 6, 5],\n [6, -10, -5, -7, 4],\n [4, -3, -10, 0, 5],\n [-2, -5, 8, -9, 3],\n [-9, -7, -7, -10, -5],\n [5, 8, -10, -8, -2]]\nB =\n[[5, 7, 7, -8],\n [6, 1, -5, 5],\n [5, -7, -2, -7],\n [7, 2, 9, -7],\n [4, 8, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -8, 5, 9, -4, 5],\n [-8, 9, 2, -8, -4, 8],\n [8, -5, 6, 1, -6, -7],\n [-9, 1, -6, -5, -6, 5],\n [1, -5, 3, 3, -6, 8],\n [-1, 1, 0, -8, 3, 8]]\nB =\n[[-9, -1, -7, 5, -2, 5],\n [2, -5, -5, 5, 1, -4],\n [10, 1, 0, -4, 10, 3],\n [0, 6, -8, 1, -9, 8],\n [-3, -2, -3, -7, 10, 3],\n [2, -3, -1, 5, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-2, 8, 0, 5],\n [5, -3, -1, -1],\n [-3, -9, 10, -8],\n [-6, 5, -7, -10],\n [-8, 6, 9, 1]]\nB =\n[[-2, 3, -6, 6, 0],\n [-4, 1, -8, 1, -10],\n [2, -1, 4, 0, 3],\n [1, 6, -2, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -9, 6, -10, 3],\n [8, 9, 5, 6, -3, 6],\n [-1, -9, 4, 2, 1, -8],\n [-6, -9, 0, -6, -10, -5]]\nB =\n[[5, -4, -2, 5],\n [6, -1, 9, -10],\n [-5, 0, 9, -9],\n [-9, -10, 4, 8],\n [-6, 6, 8, -1],\n [-8, 10, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3, 3, -6, 10],\n [-3, -8, -8, 1, 6, -3],\n [-2, -7, 3, -2, 8, 3],\n [6, 2, 6, -9, -4, -1],\n [1, 3, 9, -2, -6, -5]]\nB =\n[[3, 1, -4, 8],\n [7, 3, 1, 6],\n [-7, 10, -10, 6],\n [-2, 8, 9, 4],\n [8, -10, -3, 4],\n [5, 0, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 7, -4, 3, 5, 1],\n [-4, -7, -10, 0, -5, -10],\n [6, 4, -1, -5, 0, -1],\n [-1, -9, -9, 4, 4, -7],\n [-9, -6, 8, 4, 6, -5]]\nB =\n[[2, -3, 6, 1, 0],\n [-3, 8, -5, -8, 4],\n [-6, -10, -8, 1, -1],\n [-4, 0, 8, 2, -3],\n [-10, 1, 1, -3, -7],\n [3, -5, -2, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -10, 3, -8, 5, -7],\n [5, 6, 3, -5, 9, 0],\n [-8, 7, -7, -2, -6, 6],\n [4, 2, -8, -9, -7, 10]]\nB =\n[[-2, -6, -10, 2],\n [2, 9, -6, 1],\n [-1, -7, 9, 8],\n [0, 10, -6, -2],\n [-3, 1, 0, -8],\n [-10, 6, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[7, -6, 6, -9, -1],\n [-8, 5, 1, 7, -7],\n [9, -3, -4, -8, -6],\n [-10, -9, -8, -1, 0],\n [4, 7, 9, -7, 9],\n [-8, -9, -10, 1, -2]]\nB =\n[[-7, -1, -7, 0],\n [-7, 1, -10, 3],\n [-10, -2, -8, -10],\n [7, -7, -3, 10],\n [-7, -3, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, 6, 0, 1],\n [-6, 3, 7, -8, -9],\n [3, 8, -10, -2, -6],\n [-3, 2, 2, 3, 4]]\nB =\n[[-9, 5, 4, 1],\n [-10, -2, 4, -5],\n [0, -7, -4, 7],\n [8, -1, 0, -10],\n [-8, -8, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "980", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 5, 7, 1, -5, -8],\n [-6, -7, -9, -9, -3, -4],\n [-1, -4, 3, 7, 8, 3],\n [-9, 1, 0, 0, -10, -8],\n [-2, 6, 3, 4, -2, 5]]\nB =\n[[-2, -4, -7, -9, -9],\n [-8, 1, -9, -8, -5],\n [-1, -10, 0, -2, 0],\n [10, -3, 5, 8, 4],\n [-4, -8, -1, -9, 9],\n [2, 4, 2, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 9, 4, -4],\n [6, 0, -4, 5],\n [3, 3, -5, 7],\n [-2, 5, 4, -8],\n [0, -7, 10, -7]]\nB =\n[[2, -5, -10, -3, 9, 8],\n [-2, 4, 8, 10, 6, -4],\n [0, 10, 10, 7, -10, 3],\n [-10, 0, 4, 8, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 7, 4, -5],\n [0, -1, 1, 9],\n [9, 8, 8, 2],\n [6, 2, 9, -3],\n [8, 2, 0, -5],\n [-8, 2, 4, 5]]\nB =\n[[-5, 0, -10, 3, -5, 4],\n [6, 6, -2, 8, -2, 8],\n [1, 5, 3, 0, -6, -3],\n [-1, -8, -9, 6, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 5, 9, -4],\n [-8, 7, 10, -10],\n [-10, -5, -6, 2],\n [-1, -1, -6, 8],\n [-10, -5, 9, 2]]\nB =\n[[-5, 1, -10, -5, 4, -10],\n [7, -8, -7, -10, 5, 3],\n [1, -3, 5, 3, 1, -6],\n [8, -3, 3, -5, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1708", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-10, -8, -2, -8, 9],\n [0, 8, -4, -8, -7],\n [-9, 6, -7, 4, 4],\n [-5, -1, -7, 10, 2]]\nB =\n[[9, -4, -3, 3, 3, -6],\n [2, 9, 3, -6, -8, -1],\n [2, 5, -7, -3, 5, 6],\n [7, 10, -5, 10, 6, 9],\n [10, 6, 7, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, -7, -6, 9, 7],\n [-3, -6, 1, -8, 7, 9],\n [0, -4, 0, -7, -4, -2],\n [-2, -9, 4, -2, 1, -2],\n [-9, 10, 5, -7, 4, 1],\n [7, 0, -10, 2, 9, 5]]\nB =\n[[3, 10, 0, -6],\n [3, -3, 0, -5],\n [-9, -8, 2, -10],\n [4, -9, -1, -4],\n [3, -8, -10, -5],\n [6, 3, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1829", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 6, -5, -9],\n [0, -8, -4, 5],\n [9, 1, -5, 6],\n [-3, 7, 2, -4],\n [9, 6, 0, 8]]\nB =\n[[-9, 0, 7, 6, -4],\n [-7, -1, 4, 2, 9],\n [0, 0, -10, 9, -8],\n [0, -6, 2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 4, 5, 3, 4, -5],\n [0, -1, 7, -7, 5, 4],\n [4, -4, 6, 0, 3, 3],\n [-2, 6, 1, -6, 3, 7]]\nB =\n[[1, -1, -10, -9, -6],\n [-3, 6, -1, -9, 0],\n [6, 2, 2, 0, 0],\n [1, 7, -4, 1, -5],\n [-7, 10, 3, 9, -3],\n [7, -7, -10, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-7, 10, 6, 2, -4],\n [-5, 7, -5, -2, 6],\n [6, -1, 0, -8, 7],\n [-10, -6, 8, -7, 4],\n [-9, -5, 10, -9, -9]]\nB =\n[[7, -9, 1, 5, -2, 3],\n [-3, 0, 10, 5, -3, 6],\n [-7, 8, 8, -1, 1, 5],\n [-8, -7, -7, 8, 0, 2],\n [1, -5, -1, -5, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -3, 0, -8, -6, -9],\n [2, -6, 3, -2, 10, -3],\n [1, -10, -2, -4, -5, -10],\n [6, 2, -6, -4, -4, 9]]\nB =\n[[-10, 9, 4, -2],\n [9, 9, -2, 6],\n [6, 8, 3, 3],\n [-6, -1, -1, -3],\n [4, -10, -3, -1],\n [-7, 4, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 7, 3, -3],\n [0, -8, -7, 4],\n [-9, 0, -9, 3],\n [-6, -1, 1, -5]]\nB =\n[[1, 4, 5, -3, 3],\n [-10, -5, -10, -6, -1],\n [-9, 7, 0, 2, -6],\n [-8, 7, 5, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-10, 10, -10, 9],\n [0, 0, -8, -6],\n [9, -2, -2, -6],\n [0, -3, -2, -1]]\nB =\n[[8, 0, -8, -3, 5],\n [-1, 8, -2, -8, 1],\n [-8, -4, 1, 3, -9],\n [7, -1, -10, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -2, 9, 2, -2, 8],\n [-6, -6, 5, -6, 4, -5],\n [-3, 5, -5, -10, -6, -8],\n [-6, -5, -10, -9, 5, 1],\n [-2, -5, -1, -7, -10, 5],\n [4, 7, 3, 0, 7, -7]]\nB =\n[[-5, -1, -3, -6, -7],\n [-7, -7, 7, 1, 8],\n [-6, 5, -3, -5, 7],\n [8, -8, -5, -9, 5],\n [8, -3, 2, -1, 4],\n [9, 5, -9, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 9, -7, 5],\n [9, -5, 0, 1],\n [-7, -8, 9, 0],\n [9, 4, 9, -5],\n [1, 8, -2, 3]]\nB =\n[[-6, -2, -7, 1],\n [1, 0, -1, 7],\n [-7, -6, 9, 3],\n [3, 6, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1065", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -4, 0, 2, -3],\n [9, -3, -1, 7, -10],\n [5, -4, 2, -10, -10],\n [7, 2, -1, -5, 4]]\nB =\n[[9, 9, -5, 2, -10, -4],\n [7, 4, 10, 2, 7, 5],\n [0, 5, 7, 4, -10, 6],\n [5, 1, 2, 3, 5, 1],\n [-3, 0, -3, 9, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-631", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-9, -9, -3, -10, -1],\n [4, -10, -6, 1, 3],\n [-5, -9, 8, 0, -5],\n [-10, 4, 3, 0, 0]]\nB =\n[[3, 1, -3, 1, 4, -5],\n [-4, 1, -8, 9, -4, 10],\n [-6, 9, -3, -6, 1, 2],\n [-6, 1, 9, -5, 10, -4],\n [5, -7, 4, 8, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 0, -9, 10, -1],\n [6, -2, 2, -1, -5],\n [3, -1, 6, -6, -7],\n [10, -2, -1, 2, 0],\n [10, -3, -1, 2, -4]]\nB =\n[[-8, 1, -10, 9, 6, -5],\n [-2, 1, 7, 6, -8, -1],\n [-4, 3, -7, 1, -3, -2],\n [2, 1, -5, 9, -10, 4],\n [-7, -9, 9, -5, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1672", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 5, 0, -2, -4, 8],\n [-1, 5, -3, 1, -8, 8],\n [7, 1, -2, -5, 1, -2],\n [-9, -5, -1, -1, 4, -6],\n [-5, -5, -8, -8, -4, 5],\n [-2, 9, 1, 6, -9, -7]]\nB =\n[[10, 10, -7, -8],\n [0, 8, 5, -3],\n [10, 4, 4, 10],\n [-10, 0, -6, 6],\n [-7, 2, 0, 10],\n [1, -5, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 1, -7, -4, 8],\n [-1, 0, -3, -4, 4],\n [-4, 9, 2, 6, -10],\n [3, 1, 5, -1, -9]]\nB =\n[[4, -7, 1, -6, 6],\n [-1, 5, 7, 1, 6],\n [-5, -9, -3, 6, 6],\n [-6, -9, 3, -7, 1],\n [7, -10, 5, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "948", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -3, -7, 2, 3, -7],\n [5, 7, 6, 6, -9, 4],\n [-9, 8, 3, -9, -7, 9],\n [7, 0, -5, 0, -5, 3],\n [-5, 2, 7, -10, 7, 0]]\nB =\n[[4, -5, -9, -2, -4, 9],\n [6, 4, -5, 7, 6, 6],\n [-9, 9, 6, 4, 9, 1],\n [-2, -4, 10, -5, 8, 3],\n [0, 4, 2, 9, 4, 4],\n [0, -7, -5, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 9, -8, 4],\n [7, -3, -7, 0],\n [-1, -1, 1, 1],\n [-9, 6, 7, -1],\n [-10, 2, 0, -10],\n [7, -4, 1, 9]]\nB =\n[[-10, -10, -7, 4],\n [2, -4, -9, 6],\n [-7, 4, -7, 0],\n [2, 1, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 4, 3, 2, -3, -3],\n [6, -2, -1, -9, 10, -1],\n [-5, -9, -10, 4, 8, -3],\n [10, 6, -5, -1, -7, -9],\n [3, 7, -8, 0, 1, 7]]\nB =\n[[-6, 5, 7, -10, 3],\n [-8, 8, 1, -10, 9],\n [7, -7, 6, 4, -6],\n [1, 7, 10, -8, -9],\n [1, -7, 2, 4, 4],\n [-10, -1, -6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 8, -6, 10, -4, 6],\n [5, 2, 0, 2, -3, -1],\n [5, -9, -3, -6, 1, -8],\n [7, -6, 9, -5, -5, 1]]\nB =\n[[9, 1, -4, 9, -6],\n [-7, -10, -3, -5, -4],\n [-9, 2, 2, 3, -1],\n [-3, -5, 10, -10, -2],\n [4, -3, 6, 2, -2],\n [3, -1, 5, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, -3, -3, 10, 6],\n [-8, -6, -6, 5, 3, 3],\n [1, 2, -9, 3, -3, -9],\n [1, 1, -5, -1, -6, 3],\n [1, 1, -4, 3, 4, 10],\n [4, 0, -9, 0, 6, -7]]\nB =\n[[-8, 5, -5, 2, 9, -3],\n [2, 9, 9, -3, -3, -9],\n [2, -9, -3, -9, 6, -3],\n [6, 6, 5, -8, 0, 1],\n [2, 8, 5, -4, 4, 5],\n [5, -2, 4, 10, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1038", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[5, -3, 7, 9, 10, 3],\n [-3, 1, -4, 10, -3, -10],\n [-8, -10, 2, -7, 5, 9],\n [0, 1, 4, -4, 7, 9]]\nB =\n[[-1, 1, 10, -6],\n [-10, -4, 2, -8],\n [-10, 4, 2, -9],\n [9, -9, -1, 1],\n [4, -8, 1, -5],\n [3, -4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -9, -6, 10],\n [6, -9, -8, -4],\n [-2, -9, 3, -4],\n [-9, 5, -3, 0],\n [0, 7, 8, -3]]\nB =\n[[10, 5, 10, -7, 4, -1],\n [5, 2, -6, 0, 9, -9],\n [-2, -9, 3, -7, -5, 0],\n [-2, -4, -2, -9, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1584", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 5, 6, 7, -6],\n [1, 2, 8, -4, 6],\n [4, 7, 1, 3, 3],\n [-9, -4, -8, 2, 1],\n [5, 10, 0, 8, 9]]\nB =\n[[10, 1, 1, -4, 6, 1],\n [8, -3, 7, 10, 6, 6],\n [3, -1, 5, 3, 4, 0],\n [-4, -7, 1, -7, 7, 3],\n [-8, -7, 5, 3, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2046", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-5, 4, -5, -1],\n [-2, -8, -9, 0],\n [-5, 4, -3, 0],\n [-2, 5, -8, -2]]\nB =\n[[-9, -1, -5, -8],\n [4, -8, -10, -9],\n [2, -6, -4, 10],\n [1, 5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 7, 2, 3, 2],\n [-1, 2, -4, 3, -7],\n [-3, 5, 2, 8, -10],\n [1, -2, -6, 1, 5],\n [4, -7, -5, -9, 2]]\nB =\n[[-10, -9, -7, 7],\n [6, -10, 5, 3],\n [-3, -4, -10, 1],\n [-9, 2, 4, 4],\n [0, 10, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 6, 3, 0],\n [2, -5, -8, 8],\n [-5, 4, -3, -5],\n [-7, -9, 2, -7],\n [-4, -10, -1, -4],\n [-7, 9, 8, 3]]\nB =\n[[-10, -1, -6, 8, 2, -2],\n [5, -4, -10, 6, -10, -5],\n [-9, 7, 0, 3, -8, -7],\n [7, -5, 2, 0, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, -3, 9, 1],\n [9, 5, -7, 10],\n [7, 7, 5, 9],\n [9, 9, 7, -10],\n [-10, 10, 2, 10]]\nB =\n[[0, 4, -6, -2, 10],\n [-8, 10, -5, 8, -4],\n [0, -9, -5, 7, 4],\n [6, -3, 0, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-4, 10, 0, -10, 5, -2],\n [5, 1, 3, 0, -5, 9],\n [-8, 6, -6, 7, 2, 1],\n [4, 3, 1, 3, 2, -1]]\nB =\n[[8, 5, -1, 10],\n [-6, 0, 9, -1],\n [-2, -1, -4, -9],\n [-7, 4, 8, 9],\n [-6, -8, 7, 1],\n [-4, 10, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -10, -2, 10],\n [-5, -1, -9, 7],\n [-4, 7, 6, -5],\n [-4, -4, -5, -1]]\nB =\n[[8, -9, 5, -9, 7],\n [-4, 5, -4, 6, -7],\n [6, 10, -6, -9, 9],\n [2, 5, 10, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1328", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -10, 3, 7, -7, -1],\n [10, -6, -5, 3, 2, 4],\n [-7, 7, 9, 7, 1, -5],\n [-1, -8, 8, -7, 0, -5],\n [7, -9, -7, -1, 1, -7]]\nB =\n[[-8, 10, -1, -2],\n [-5, -3, 9, 5],\n [8, 8, -4, 9],\n [3, -9, -8, 6],\n [-7, 1, 1, 3],\n [8, -4, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 7, 10, 7],\n [-3, -7, -9, -9],\n [-8, -10, -3, 1],\n [6, -10, 4, 1],\n [5, -10, -5, -9]]\nB =\n[[-3, -1, -8, -4],\n [-1, 5, 6, 1],\n [1, -1, 10, -9],\n [-5, 5, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, 0, 10, 7, 2],\n [-1, 2, -1, -9, 4, 3],\n [0, -6, 4, -9, -9, -9],\n [5, 1, -9, 5, 2, -8],\n [-2, 1, 6, -10, -8, -2]]\nB =\n[[-9, 8, -8, -2],\n [-5, 5, -1, 0],\n [-6, -3, -5, -4],\n [4, 0, 8, 6],\n [-4, 4, 2, 3],\n [7, 2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -10, -5, 10],\n [10, 9, 5, -6],\n [-10, -5, -1, 0],\n [8, 3, 8, -1],\n [-1, -2, 10, 10],\n [10, 3, 0, -4]]\nB =\n[[8, 4, 1, -3, 4, 2],\n [4, -3, -3, 0, 2, 6],\n [-2, 10, 0, -1, -2, -3],\n [1, 7, -7, 2, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 7, 7, 0, -4],\n [8, -9, 0, -7, 4],\n [2, 6, -3, 0, -3],\n [1, 6, 9, -10, 6],\n [-4, 8, -9, -8, 7],\n [7, -3, 8, -7, 6]]\nB =\n[[4, -6, -8, 4, -8],\n [-5, -9, -10, -10, -9],\n [9, -10, 4, 3, -4],\n [-3, -4, 7, -10, 2],\n [-1, -9, 3, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-661", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, -9, -10, 6],\n [-10, 3, 0, 6, -9],\n [-8, 5, 0, -5, -1],\n [-6, 5, 0, -9, 9]]\nB =\n[[10, -2, 4, 5, -1],\n [1, 10, -10, -8, -2],\n [-1, 3, -3, -2, -1],\n [8, -3, 9, 8, 1],\n [8, 7, 5, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-864", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 4, 8, -1],\n [7, -1, 4, 6],\n [-10, -1, -3, 1],\n [9, -5, 7, -6]]\nB =\n[[-8, -4, -6, -2, 9],\n [2, -10, -5, -7, -10],\n [-8, -9, -2, 9, 4],\n [2, 8, 7, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -5, 4, -2],\n [-10, 2, -2, -9],\n [2, 8, -2, 0],\n [5, 10, -3, 8],\n [-6, -1, -10, 7]]\nB =\n[[6, 5, 0, -10],\n [-1, 0, -7, 9],\n [-5, 7, -9, 10],\n [10, 8, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, 4, 8, 9],\n [10, 9, 8, 10, 10],\n [-1, -6, 3, -2, 9],\n [4, 2, -6, -1, 5],\n [-10, 1, -2, -7, -9],\n [3, -7, 7, -2, 3]]\nB =\n[[-6, 2, -5, 9],\n [5, -10, -4, 1],\n [-2, 2, -8, -8],\n [-6, 0, 8, -7],\n [0, -7, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-326", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, 7, 7, 5],\n [6, 8, -7, 0, -5],\n [-4, 8, -10, 9, -4],\n [-3, 1, 9, -4, 7]]\nB =\n[[-10, -1, 1, 8, 9, 4],\n [5, -9, 1, -3, -3, -2],\n [-9, 4, -1, -5, 1, -9],\n [-10, 5, 8, -1, 10, -1],\n [-7, 3, 5, -7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -4, 8, 2, 9],\n [8, -9, 3, 4, 0],\n [7, 2, 9, 5, -1],\n [-4, -5, -3, 0, 1]]\nB =\n[[6, 6, 1, -6, -3, 2],\n [-7, 8, 2, -9, 3, 6],\n [8, 7, -6, 5, 2, 8],\n [9, -5, 1, 5, -4, -4],\n [6, -1, -8, 7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1505", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -7, 6, -5],\n [5, -6, 1, 9],\n [-6, 2, 1, 8],\n [-10, -3, 5, 10],\n [9, -4, 10, -8],\n [-10, -9, -7, 3]]\nB =\n[[9, 9, -4, 5],\n [5, 1, 6, 7],\n [-5, -7, 5, 6],\n [5, 7, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 4, 3, 9, -10],\n [2, -6, -1, -1, -8],\n [4, 4, -4, 10, 10],\n [-2, 6, -4, 4, 8],\n [-9, -10, 8, 4, -1]]\nB =\n[[2, 1, -1, -10, -6],\n [-7, 1, 8, 1, -2],\n [-4, 3, 5, -10, 5],\n [10, -8, 1, -2, -7],\n [-2, 10, 6, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -10, -9, -10, -4, -10],\n [10, -2, -5, -10, -5, -1],\n [-1, -4, 10, -8, 0, -9],\n [-10, 1, -6, 6, -1, 0]]\nB =\n[[7, 6, -9, -5],\n [-6, 6, 2, 10],\n [-9, 8, 5, 3],\n [1, 2, -4, 7],\n [2, -1, 6, 3],\n [-8, -1, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 6, 0, -5],\n [8, 7, -3, -5],\n [-10, 4, 8, -5],\n [5, -2, 6, -7],\n [2, 1, 3, 5],\n [9, -10, 4, -6]]\nB =\n[[9, 4, 6, -1, 6],\n [-7, 8, -2, 8, 10],\n [10, -5, 9, -3, 4],\n [1, -10, -6, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[2, 10, 9, 4, 10],\n [-7, 1, -10, -1, 5],\n [1, 8, 1, -8, -6],\n [1, -7, 7, -1, 9],\n [-3, -4, -3, -1, 6]]\nB =\n[[3, 7, 0, 2],\n [5, -4, -7, -3],\n [-4, -3, 5, 6],\n [-7, -1, -5, 9],\n [5, 0, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 0, -5, -6],\n [-7, 5, 5, 0],\n [10, -7, 1, 5],\n [8, 10, -10, -2],\n [1, 10, -8, -3],\n [7, -5, 8, 4]]\nB =\n[[-4, -8, -9, -2, 8, 9],\n [-7, 2, -2, 10, 10, 5],\n [-10, -7, -3, 3, 0, -6],\n [-2, 2, -4, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -4, -1, 6],\n [-4, -3, 7, -5],\n [0, 7, -9, 8],\n [5, -6, -6, 9]]\nB =\n[[-5, 10, 7, 4],\n [10, 6, -5, 9],\n [8, 4, -10, 5],\n [-6, 10, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 5, -6, 4],\n [4, -3, -5, -10],\n [3, 3, -8, 3],\n [-2, 4, -6, 2],\n [5, -8, -3, 7],\n [-8, -10, -1, -3]]\nB =\n[[-7, -9, -8, 1, 4, 8],\n [10, -1, 3, -2, -5, -6],\n [7, 4, 10, -10, 10, 1],\n [8, 1, 8, -8, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, 1, 6, -9],\n [6, -5, 8, -8, 9],\n [0, -4, -5, 4, -9],\n [-6, -9, -3, 1, -10],\n [-3, -5, -1, 7, -9]]\nB =\n[[-6, -3, 7, -4, -3, 4],\n [-4, 2, 4, 5, 6, 3],\n [6, 4, -2, 3, 1, -3],\n [-8, 9, -4, -7, 1, -2],\n [-4, 7, -10, -2, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, -4, -3, 0, 0],\n [-5, -3, 0, 8, -9, -7],\n [-3, 4, -5, -6, 3, 10],\n [-2, 9, -8, 5, -1, 6]]\nB =\n[[10, -2, -6, 3, 9],\n [-10, 5, 8, 2, 4],\n [10, -9, -3, -1, 6],\n [-5, 10, 9, 7, -9],\n [-7, -10, -9, -1, -1],\n [2, -7, 0, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 2, 6, -6],\n [3, -7, -7, -10],\n [-8, 7, 8, 8],\n [-1, -8, -1, -8]]\nB =\n[[1, 8, 10, -9],\n [-6, 7, 8, -10],\n [2, 1, 7, -8],\n [5, -2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-8, 1, 10, -6],\n [5, 3, -4, 5],\n [-10, 4, -6, -3],\n [-6, 6, -3, -10],\n [-7, -9, -2, -9]]\nB =\n[[-3, 6, -6, 4, -5],\n [0, 2, -4, 1, -5],\n [2, -3, 0, -8, -4],\n [-3, -3, -1, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -9, -6, -5, -3],\n [0, 0, -5, -8, 5],\n [-5, -2, -3, 9, 4],\n [4, -9, 2, -6, -7],\n [9, 8, -7, -8, 6]]\nB =\n[[-10, 1, 5, 10],\n [10, 7, 5, -3],\n [-9, -4, -5, 6],\n [0, 2, 10, -2],\n [-3, -7, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "919", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 5, -2, -1],\n [7, -6, 0, -5],\n [5, -4, 7, 3],\n [-3, 9, -7, 0],\n [1, 0, -8, -3]]\nB =\n[[-3, -7, 4, -9, -4, -2],\n [0, 10, -9, -6, 9, -10],\n [-1, 10, 4, 4, 2, -9],\n [-1, 10, 9, 4, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-628", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 6, 3, 4],\n [-6, 8, -1, -4],\n [9, 8, 6, -5],\n [8, -8, 4, 6],\n [2, -8, -4, -8],\n [-8, -2, -1, -2]]\nB =\n[[7, -6, 4, 7],\n [-6, -2, 5, 6],\n [8, -5, -9, 10],\n [-8, -3, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -5, -8, 2],\n [-5, -4, -7, 1, -6],\n [-4, 8, 3, 10, 6],\n [5, -9, -5, 1, 0],\n [6, -8, -9, -3, -7]]\nB =\n[[-9, 8, -3, 9],\n [-1, -3, -3, 8],\n [8, -5, 7, 10],\n [-9, 6, -9, 5],\n [-1, -7, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[2, 1, -7, -6, 6],\n [6, 3, 3, 7, 10],\n [0, 1, -2, -9, -3],\n [3, -6, -3, -1, 3]]\nB =\n[[5, -2, 8, 1],\n [-9, -10, 1, 6],\n [-9, 0, -7, 6],\n [-5, -5, -9, 5],\n [4, 7, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 8, -4, -10],\n [-3, 6, 4, -1],\n [7, 5, -8, -7],\n [7, 2, -8, 10],\n [1, -6, -2, 5]]\nB =\n[[2, 5, 4, -7, -8],\n [0, 7, 3, -9, -10],\n [-7, -9, -2, 2, -7],\n [7, 1, 1, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, -2, 8, -7],\n [-10, 9, 1, -6, 8],\n [-6, 8, 8, 1, 3],\n [9, -9, 3, -7, -9],\n [-5, 2, -4, -7, 8]]\nB =\n[[-8, 3, -2, 7, -6],\n [-3, 3, 4, 0, 4],\n [2, 1, -2, 6, -2],\n [6, -10, -9, 7, 8],\n [-1, -2, 3, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1667", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 8, -10, 2],\n [0, -3, -2, 7],\n [-2, -3, 3, -3],\n [-5, -4, -2, 4]]\nB =\n[[3, 10, -4, -8],\n [-2, 10, 6, -5],\n [7, -7, -3, 3],\n [-6, 2, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -1, -5, 2],\n [-5, 8, -5, 10],\n [-2, 4, 9, -9],\n [-6, 7, -7, -1]]\nB =\n[[7, -2, -5, -2, 3, -1],\n [-6, -1, 7, -2, 3, 5],\n [-7, -3, 10, -9, -2, -5],\n [-9, 5, 1, 5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1258", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[3, 8, -10, -3, -2],\n [-7, -9, 3, -10, -2],\n [5, 5, -9, -2, 1],\n [-6, -9, -8, 4, 8],\n [-3, 10, -10, 3, 10],\n [2, -3, -8, -4, 10]]\nB =\n[[8, 0, -8, 2, 10],\n [-9, 6, -8, 8, 6],\n [8, 2, 9, 6, -6],\n [-9, -7, -9, -10, -6],\n [5, -1, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[2, 9, 1, -6, 9],\n [6, 10, -3, 7, -2],\n [-1, 5, -6, -8, -2],\n [7, 6, -2, -5, -5]]\nB =\n[[3, -9, 6, 9],\n [-3, 5, -6, -7],\n [5, 0, 0, -2],\n [1, 1, -10, 8],\n [6, -5, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 10, -3, 0, 6, -7],\n [9, -2, 5, -7, 5, 4],\n [-5, -7, 0, 4, -5, -6],\n [10, 9, 0, 6, 1, 9],\n [-10, 10, -9, 8, -10, 8],\n [-3, 10, 10, -2, -2, -5]]\nB =\n[[10, 2, -8, -2],\n [-7, 9, 8, 0],\n [10, 1, -8, -5],\n [-10, -8, -1, 3],\n [8, -10, -6, -10],\n [-8, 3, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2448", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, 4, 7, -9],\n [1, -1, 2, 8],\n [9, 7, 9, -6],\n [-3, 10, 0, 8],\n [-1, -7, -3, -8]]\nB =\n[[1, 3, 9, -5],\n [5, -6, 1, -4],\n [-10, -9, 0, 9],\n [-1, -6, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 1, 1, 8],\n [7, -5, 9, -9],\n [3, -7, 8, 7],\n [6, 6, 7, -1],\n [3, 3, -1, 7],\n [-3, 8, 8, -8]]\nB =\n[[-7, -8, 3, 4],\n [-10, 2, 7, -7],\n [-9, -6, -1, -9],\n [10, 7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2230", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, 5, -9, -5, 5],\n [-4, 1, -3, -8, -8, 2],\n [1, -9, -4, 8, 7, 0],\n [3, -8, 8, 6, -8, 6]]\nB =\n[[-10, 2, 9, 5, -9],\n [-9, -7, 0, -1, 8],\n [7, -6, 0, -1, -2],\n [-1, 8, -10, -4, 2],\n [-6, 8, -10, 3, 10],\n [9, 8, -10, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-8, 7, 2, -4, -9],\n [-8, -4, 7, 3, -5],\n [-10, 8, 4, -1, -1],\n [-3, -3, 5, 6, 9],\n [4, -6, -2, -3, -9]]\nB =\n[[-1, 0, 9, 7],\n [6, 10, -1, 5],\n [-1, 2, -7, -7],\n [-4, 6, 4, -8],\n [-6, 9, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -7, -2, 0, 7, -2],\n [3, -4, -3, 1, 10, 9],\n [3, 6, 0, 8, -3, -9],\n [6, 7, 6, -1, -1, 1],\n [10, 8, -4, 0, -1, 8]]\nB =\n[[-2, 9, -10, -8, 10],\n [10, -3, -7, 1, -7],\n [-9, -4, -9, -3, 9],\n [1, -9, -4, 6, 6],\n [6, 1, 1, 4, 5],\n [-1, 0, -4, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-7, -10, 6, 3, 7, -1],\n [-1, 6, 1, 7, 6, 7],\n [-9, -2, 6, 10, -2, 4],\n [-6, -10, -5, 4, 1, -9],\n [5, -5, -8, -8, -6, 4],\n [6, 5, -7, 6, 10, 2]]\nB =\n[[6, -4, 4, -4],\n [-1, 8, -8, 5],\n [-7, 10, 0, -8],\n [6, -9, -6, -2],\n [-1, 10, -1, 1],\n [9, 6, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 6, -6, 4, 3, -10],\n [4, 2, 7, 3, 2, 3],\n [-3, -1, 2, -6, -8, 7],\n [-3, 2, 1, 3, -9, -9],\n [-6, 5, -5, 5, 9, 4]]\nB =\n[[-6, -5, -7, 3, -2, 4],\n [-6, 9, 5, -2, -10, 2],\n [-2, 1, -7, -7, -9, 0],\n [9, 9, 9, -2, 2, -8],\n [10, -4, -2, -6, 8, -6],\n [4, 9, -4, 2, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, 7, -9],\n [-1, -3, -3, -10],\n [7, 8, 10, 7],\n [-3, -2, -2, 6],\n [-8, 10, 7, -7]]\nB =\n[[3, -8, -8, 7],\n [8, 0, 3, -6],\n [4, 5, 1, 5],\n [-4, -9, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, -3, 8, 3],\n [10, 4, 2, -2, -4],\n [8, 1, 0, 0, 4],\n [1, 7, 9, 6, -3],\n [-9, -10, -4, 9, 4]]\nB =\n[[9, -3, 4, 8],\n [-5, 9, -10, -6],\n [-7, 0, -1, 9],\n [0, 0, 6, -7],\n [7, -2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, 2, -6, 5, 1],\n [8, 10, -10, 5, 6, 1],\n [5, -1, 1, 3, 1, -1],\n [4, 1, -1, 7, -5, -7],\n [-5, -10, -10, 0, 10, -9]]\nB =\n[[-9, 8, 8, -10, 5],\n [1, -5, 2, -5, -4],\n [-2, 6, 3, 1, 3],\n [-5, -1, 4, -2, 10],\n [10, 5, -8, -10, 1],\n [5, -9, 4, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 8, 9, -8],\n [-8, 9, 4, -9],\n [0, -9, 8, 7],\n [-8, -9, 3, 2],\n [-4, -1, -6, 3],\n [-8, -5, 1, 8]]\nB =\n[[-1, 0, 3, -2, -8],\n [5, 0, -8, 4, -4],\n [-8, -1, -4, 5, -8],\n [10, 0, 8, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1816", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, 2, -2, -6],\n [3, -9, 3, 1, -10],\n [0, -5, 7, -5, -3],\n [-4, -7, 10, 3, 1],\n [-9, 2, -6, -9, 4],\n [-8, -6, -7, 1, 7]]\nB =\n[[-8, 5, -9, -6],\n [10, -3, 8, -1],\n [3, 9, 0, -1],\n [8, 7, -7, -5],\n [6, -4, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-7, -6, 8, 4],\n [10, -6, 5, -10],\n [8, 3, 10, 2],\n [-4, 8, 0, 10]]\nB =\n[[4, -8, 6, -6],\n [-5, 1, 1, -8],\n [9, 3, -8, 8],\n [10, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -10, 2, -3],\n [4, -3, -10, -4],\n [8, 3, -9, -10],\n [-7, 2, -2, 9]]\nB =\n[[-7, -7, 6, -9, 6, 1],\n [6, 2, -10, -4, 1, 8],\n [6, 5, 10, -10, 1, 7],\n [2, 5, 9, -10, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-571", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -2, 10, 8, -10],\n [9, -2, 1, -8, -4],\n [-8, 1, -1, 9, -2],\n [5, 3, -3, 3, 5],\n [9, -8, 6, 9, 1]]\nB =\n[[5, 8, -7, -4, 0, -8],\n [6, 6, -5, 0, 4, -3],\n [7, -5, 2, 3, 2, 4],\n [-5, -9, 6, 3, -3, 0],\n [-8, -10, -5, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[10, -8, 2, 3, -6, 3],\n [9, 1, -6, 6, 1, -9],\n [-2, 9, -2, 2, -1, -8],\n [-2, -10, 2, 10, 4, 7]]\nB =\n[[-6, -1, -5, -7, -8, 3],\n [-9, -8, 5, 5, 0, 0],\n [10, 2, 7, -4, -10, 6],\n [10, -1, -6, -7, 8, 9],\n [6, -1, 4, 8, 4, 3],\n [9, -6, 7, -8, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 4, 7, 5, 9],\n [4, 9, -6, 9, 5],\n [-8, 7, -1, -10, -7],\n [0, -4, -1, -2, 9]]\nB =\n[[10, -4, 4, -1, 4, 2],\n [-5, -2, -4, -7, 2, 8],\n [8, 2, -6, -6, -4, -3],\n [3, 1, 7, 2, 0, 0],\n [-4, 7, -10, 10, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, 3, 7, -5],\n [10, -2, 5, 0, 1],\n [2, 7, 5, 0, 6],\n [1, 9, 2, -1, -4]]\nB =\n[[5, 8, 3, 1, -3],\n [-8, 10, 7, 7, 5],\n [-3, 0, 1, -6, -6],\n [9, 0, 5, -7, 6],\n [7, -3, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, 8, 6, 6],\n [3, 6, -4, -5, 1],\n [-1, 4, -4, 0, -1],\n [4, 0, -4, 5, 0]]\nB =\n[[3, 0, -3, 9],\n [-4, 9, -4, 7],\n [6, 3, -5, 1],\n [-3, -5, -3, 3],\n [7, 3, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -1, 6, -2, -5],\n [-8, 6, -5, -4, -9],\n [-4, 9, 0, 7, -8],\n [-5, -8, -4, 2, 1],\n [-5, -5, -4, -1, 7]]\nB =\n[[-4, 5, -3, 9],\n [-8, 10, -4, 8],\n [-1, 6, -4, -9],\n [-10, 3, 5, 9],\n [3, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, -2, 0, -4, -9],\n [4, -6, -10, 3, 0, 3],\n [-6, -6, 8, -7, -2, 2],\n [3, 9, -3, 2, 6, 4]]\nB =\n[[6, 9, 3, 4, 5, 0],\n [-1, 8, 9, 3, 1, -7],\n [4, 6, 6, -5, -3, -5],\n [7, 5, 2, 8, 0, 4],\n [3, -5, 2, -4, 2, 8],\n [-9, 2, 1, -10, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 6, 7, 4],\n [-7, 3, 6, 4],\n [10, 4, 10, -3],\n [-2, -8, 7, 9],\n [9, -2, -1, -10],\n [7, -10, -8, -7]]\nB =\n[[-1, 8, 6, -6, 0],\n [-7, 0, -8, -6, -7],\n [4, 3, -1, -10, -8],\n [7, -8, -8, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -3, 1, -6, 7, -4],\n [-2, -6, -8, 8, -2, 3],\n [8, -2, 10, 9, 2, -6],\n [-7, 2, -5, 1, 7, 9],\n [5, 3, 0, -1, -6, 8]]\nB =\n[[1, 3, -10, 8, -10],\n [2, 7, 5, -9, -4],\n [6, -1, 0, -9, 1],\n [9, -5, -8, 3, 7],\n [-10, -10, 2, 10, -8],\n [3, -5, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 1, 4, 6, 0],\n [-4, 1, -9, 6, 7],\n [-8, 5, 7, 6, 4],\n [-1, 2, -7, -2, -7],\n [-6, 8, -7, 0, 1]]\nB =\n[[-9, -2, -7, -6, -2, 3],\n [-7, 6, 8, -7, -3, -10],\n [10, -3, -8, 6, 7, 5],\n [-3, -7, 1, 8, -8, 5],\n [6, -4, -7, 8, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2052", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 5, 4, 2, -1, -6],\n [4, -4, -10, -9, 3, -3],\n [-7, -7, 2, -8, 10, -1],\n [8, 3, -10, -6, 5, -8]]\nB =\n[[-3, 4, -5, -7, -4],\n [-10, -2, -7, 10, -7],\n [10, -5, 1, -3, 6],\n [7, -5, -9, -4, 4],\n [4, -7, 3, 3, 4],\n [-1, -7, 7, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1716", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[5, -3, 6, 3, 9, -1],\n [-5, 6, 7, 7, -8, -5],\n [4, -2, 3, -6, 7, -6],\n [-10, 9, -6, -5, 7, -1],\n [10, -6, -7, -3, 6, 10],\n [4, 0, 1, -4, -5, -7]]\nB =\n[[-9, 9, 8, 8, 9],\n [8, -6, 9, 4, -6],\n [6, 0, -2, -1, 5],\n [-3, 3, -6, -6, 5],\n [-5, 4, -10, -2, -10],\n [6, 8, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 8, -8, -2, 4],\n [-1, 1, 1, -6, -4],\n [6, -1, 10, -6, -2],\n [-2, -2, -2, 7, -5],\n [-6, 8, 9, 9, -7],\n [3, 3, 2, -9, 9]]\nB =\n[[-5, 2, -9, 5, -7, -4],\n [-6, -9, 6, -3, 5, -7],\n [-9, -6, -9, -4, 3, 2],\n [9, 7, -9, -8, 10, -10],\n [-1, -9, 4, 6, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[1, 8, 5, -3, 7],\n [-9, -3, 6, 4, 10],\n [-9, -3, -10, 5, 5],\n [-4, -4, -5, 5, -1],\n [-4, -2, -4, -9, -1]]\nB =\n[[5, 4, 10, -2, -10],\n [-5, 10, -3, -10, -10],\n [-8, 8, -10, -10, 3],\n [7, 4, 5, 2, 7],\n [3, 5, -10, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, -3, -6, 6],\n [-10, 8, -2, 5],\n [2, 9, -2, -10],\n [2, -7, 2, 2],\n [-4, 4, 9, 5]]\nB =\n[[7, 4, -9, -6, 2],\n [10, 3, -10, 0, -9],\n [9, 9, 8, -6, -2],\n [4, -4, 0, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -4, -2, 9, 10],\n [3, -7, -10, -3, -1],\n [-9, -4, 1, -1, -6],\n [-3, -6, 9, -4, 2],\n [-7, 0, 6, -10, -5]]\nB =\n[[-2, 6, -9, 8, -9],\n [-6, -2, -9, -9, 3],\n [-5, -5, -1, 5, 8],\n [-2, -3, 8, -4, -1],\n [3, 1, 1, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "599", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[7, 5, 5, -3, 1, 9],\n [-9, 4, -3, -9, 1, 6],\n [10, 6, -5, 3, -10, -5],\n [10, -7, 1, 1, -6, -8]]\nB =\n[[7, -2, -3, 3],\n [-9, -3, 7, 9],\n [-4, 0, -4, -4],\n [-7, 4, 5, -3],\n [3, -3, -6, -8],\n [-9, 0, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-5, -6, 8, -4],\n [-5, 10, 5, 6],\n [-5, 10, -6, -2],\n [0, -10, 9, 10],\n [-3, 5, -10, 4]]\nB =\n[[6, -9, -4, 8, 10, -8],\n [-2, 8, 1, -5, 5, 10],\n [0, 2, 5, -2, -3, -5],\n [2, -10, 9, -6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, -4, -3, 9, -9],\n [-8, -1, 7, 9, 2, -2],\n [2, -9, -2, 1, 3, 8],\n [5, -9, 1, -4, 3, -4]]\nB =\n[[-8, -2, 4, 10],\n [-6, 6, 1, 6],\n [-10, -3, -1, -9],\n [-4, -7, 9, 7],\n [2, 8, 6, -7],\n [-6, -3, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, -6, -2, -5],\n [8, -3, -3, 9, 1],\n [3, 5, 7, 5, -2],\n [4, 9, 3, -5, 8],\n [-8, 7, -7, 3, -1]]\nB =\n[[0, -10, -1, 6, 6],\n [-3, 6, 5, -4, -10],\n [-3, -9, 6, -2, -7],\n [-6, 7, 8, -10, 9],\n [2, -6, -5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, -3, 2, 8, 9, 3],\n [-3, -7, -3, 7, -2, -3],\n [1, 8, -4, -8, 1, -5],\n [-6, 7, -5, -1, -2, 8],\n [1, -4, 4, -7, -2, -6],\n [-8, 3, 8, -4, 1, -2]]\nB =\n[[8, 10, -4, -9, -9, -7],\n [-8, 4, -1, -2, 9, -7],\n [3, -5, -10, -2, -3, 4],\n [-6, 7, -8, 5, 2, -6],\n [-7, -4, 8, -5, 7, -6],\n [1, 6, -8, 6, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 9, 0, 8],\n [-10, 2, -9, 10],\n [9, -1, 3, -9],\n [7, -7, -8, 1]]\nB =\n[[-7, -5, 2, 9, -6, 4],\n [2, 0, -10, 2, -4, -4],\n [-6, -2, 5, -8, -3, 9],\n [0, -3, -10, -8, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 9, 10, 6, 3, -2],\n [5, 4, -9, -3, -7, -6],\n [-6, -6, -8, -7, -5, 1],\n [1, 5, -9, -3, -4, 8],\n [2, -1, 8, 10, 6, -2],\n [-3, 3, 7, 0, 10, -2]]\nB =\n[[-8, 9, 0, -4, 0, 7],\n [10, -8, 10, -5, -1, -3],\n [-6, -3, -1, -3, 0, -1],\n [0, -2, -6, -7, 0, -8],\n [8, -1, 9, 2, -5, -9],\n [7, -3, -7, -1, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 9, -5, 5, -9],\n [-6, 8, 9, 4, -1],\n [8, 6, 10, -10, -4],\n [6, 2, -2, -10, 6]]\nB =\n[[-8, 0, 2, -7],\n [9, 8, -6, 1],\n [3, 0, -6, 7],\n [6, -3, -6, -4],\n [4, 4, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, 1, 8, 4, -4],\n [-4, 5, 5, 6, -7, -3],\n [-3, 8, 3, 2, -1, -2],\n [4, 9, -1, 3, 4, 3],\n [-9, 8, 7, 9, 10, -3]]\nB =\n[[-10, -9, -6, -6],\n [-7, -8, -1, 8],\n [10, 5, -2, 3],\n [3, -6, -8, 3],\n [9, 5, -5, 8],\n [6, -7, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "514", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 8, 1, -7],\n [5, 6, 3, 10],\n [7, -8, -5, 2],\n [-1, -10, -1, -1],\n [10, 2, 6, 9],\n [7, -4, -4, 7]]\nB =\n[[-8, -5, 5, -1, -6],\n [-5, 9, 5, -4, -7],\n [5, -8, -7, -9, 3],\n [0, 8, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 5, -8, -1, -8, 7],\n [7, 3, -1, 10, -8, -4],\n [2, -10, 0, -7, 9, 7],\n [-9, 7, -6, -9, -3, 6],\n [-3, 2, 4, -5, -10, 6]]\nB =\n[[8, 4, 9, -3, -3, 6],\n [6, 6, -8, 0, -5, -5],\n [-6, 0, 7, 6, -3, -8],\n [1, 1, 0, -9, 1, -6],\n [2, 1, -5, 5, -7, 2],\n [-7, 7, 3, 7, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2058", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -3, 10, 3, 8, -5],\n [-9, -8, -2, 9, 4, 7],\n [-5, -2, -6, 1, 7, -6],\n [2, -3, 10, -2, 9, 5],\n [-7, -10, -4, -10, -7, 3]]\nB =\n[[3, -3, 4, 6],\n [-5, 0, -3, 4],\n [-3, 5, 10, 7],\n [10, -2, -4, 9],\n [3, -9, 10, -2],\n [10, 1, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 10, 1, 6, -5],\n [1, 0, 7, -2, 0],\n [8, -9, -6, 1, 4],\n [-9, 6, -5, -5, -9],\n [10, -3, 9, -9, -3],\n [2, 4, 5, 9, -5]]\nB =\n[[-9, 10, -5, 2],\n [-5, -3, -4, -4],\n [-7, -10, 6, 0],\n [-3, -1, -1, 8],\n [-1, -6, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1567", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[9, -5, -4, 9, 6],\n [-4, 7, -1, 2, 8],\n [3, -5, -5, -2, -9],\n [2, 7, 3, 7, -2],\n [-4, -8, 3, 10, 9],\n [-5, -4, 1, -8, -1]]\nB =\n[[-2, 3, 3, 3, 3, -8],\n [2, 2, 9, 7, 6, -7],\n [-6, 0, -8, -8, 8, -6],\n [8, -7, 2, 9, 2, 5],\n [10, 2, 4, -3, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -10, -3, -9],\n [6, -7, 1, 7],\n [-10, -1, 5, 4],\n [-2, 10, -9, 7],\n [-1, 7, 8, 6],\n [1, -8, -5, -1]]\nB =\n[[6, -9, -1, 4, -2, -2],\n [0, 10, 6, -4, 1, 2],\n [-3, 1, -5, -2, 5, -7],\n [7, 10, -9, -6, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[6, -5, 8, 9],\n [-4, 8, -4, 10],\n [-2, 2, 4, 7],\n [-1, -4, 2, 1],\n [9, 1, -5, 0],\n [9, 1, -10, 3]]\nB =\n[[-1, -5, 6, -8],\n [4, 4, 5, 6],\n [2, 7, 3, -9],\n [-4, 8, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -5, 0, 4, -4, -1],\n [-5, 5, 3, 4, -3, 2],\n [-1, -4, -10, 1, 5, -10],\n [1, -7, 0, -6, -1, -1],\n [6, -4, 0, 7, 6, -10],\n [2, 5, 7, 3, 1, 4]]\nB =\n[[-4, 0, -5, 0],\n [-6, 8, 2, 1],\n [4, -4, 1, -9],\n [4, 1, -5, -8],\n [-2, -8, 8, -6],\n [0, 4, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[2, 4, 9, 7, 0, 10],\n [-3, 6, 5, 8, 1, 4],\n [9, 8, 7, 6, -5, 4],\n [-4, 7, -6, 7, 7, -7]]\nB =\n[[8, 8, -6, 0, 9],\n [-8, 0, -9, 3, -5],\n [-6, -5, 4, 4, 2],\n [-6, -7, -5, -7, 6],\n [3, -2, -4, -4, -5],\n [-1, 4, 10, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 9, 4, -6, -10],\n [2, -4, -5, -4, -2],\n [8, 9, 9, -10, -3],\n [6, 2, 4, 7, 10],\n [-7, 0, 4, -7, -10]]\nB =\n[[2, 7, 6, -6, -2, -2],\n [6, -2, 0, 2, 7, -2],\n [-6, 4, -4, -3, 4, 5],\n [4, -6, -6, 7, 0, 6],\n [-5, 0, -10, -3, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -3, -1, -4, -2],\n [-3, -6, -2, -7, 10],\n [-10, 5, -3, -7, -6],\n [4, -8, -5, -2, 9],\n [-7, -2, 6, -1, 5],\n [-10, 1, -3, 5, -5]]\nB =\n[[-3, 7, 5, -6],\n [6, -8, -4, 2],\n [2, -3, -4, -2],\n [3, 6, -5, -2],\n [-5, 6, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[6, 2, 6, -5, 5],\n [-7, 5, -3, 6, 3],\n [9, 5, 0, -6, 0],\n [3, 7, 1, -2, -2],\n [-5, -7, 2, -8, -7]]\nB =\n[[10, 0, 1, 7, 6, 8],\n [-5, -7, -9, -2, -4, 0],\n [-5, 6, -3, 8, -1, 8],\n [-4, -3, -6, 9, -5, 1],\n [0, -8, -6, -10, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 6, 9, 5, -1, 8],\n [1, 5, 2, 6, 4, -3],\n [-10, -10, -5, 7, -1, -4],\n [-2, 2, 5, 6, 3, 4],\n [0, -7, -9, 5, 10, 6],\n [-3, -4, -9, 3, 2, 0]]\nB =\n[[-5, 9, 0, -4, 0],\n [4, -5, 1, -3, 7],\n [3, -7, 10, -7, -7],\n [-1, 9, -3, 0, -2],\n [-3, 4, -4, -4, 9],\n [-9, -1, 7, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2021", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, 9, 0, -7],\n [-1, 7, 1, -5, -3],\n [0, -2, 3, -5, 6],\n [-9, 5, 1, -1, 5],\n [8, 5, -6, -7, -6]]\nB =\n[[-7, 2, 5, -7, -1],\n [10, 5, 9, -7, 9],\n [5, -6, -4, -3, -3],\n [-8, 3, 0, -1, 9],\n [3, -8, -5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -2, 4, -4],\n [-2, -4, -8, 9],\n [10, -9, 0, -7],\n [7, 1, -1, 1],\n [-1, -8, -8, -2],\n [8, -3, -5, -2]]\nB =\n[[-1, -8, 5, -3, 6],\n [6, -5, 9, 5, -4],\n [9, -9, 10, 6, -3],\n [3, -6, 6, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-464", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -1, -4, 3],\n [7, -10, 6, 10],\n [-9, -9, 4, 7],\n [5, 7, 9, 2],\n [-3, -8, 0, -1],\n [-10, 6, 0, -1]]\nB =\n[[4, -9, 4, -2, -4, 8],\n [9, -8, -9, -6, -3, 5],\n [-9, 4, -7, 3, 5, 6],\n [-5, 0, -10, 2, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 10, -4, 9],\n [10, -9, 2, 4],\n [-6, 2, -2, -2],\n [0, -2, -3, 6],\n [-6, -10, 9, -10]]\nB =\n[[2, -9, -3, 8, -6],\n [9, -3, 1, 0, 4],\n [-5, -10, -6, -3, 5],\n [-2, 5, -10, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, 2, 1, 5],\n [-2, -10, 1, -10, -5],\n [-1, 9, -2, 1, 10],\n [-5, 3, 4, -6, -1],\n [-10, 8, -10, 0, 9],\n [9, -5, -4, -9, 9]]\nB =\n[[-5, 8, -10, 2, 0, -1],\n [-4, -7, 9, -3, 6, -2],\n [4, -10, -7, -3, 7, 9],\n [-1, 6, 10, -2, 6, 2],\n [0, 8, 2, 2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2332", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[9, 7, 1, -9, -9],\n [3, 1, 3, 4, 9],\n [1, -6, -4, -9, 8],\n [-4, -4, -10, 8, 7],\n [4, 5, 0, -5, -3],\n [-2, -7, 3, 2, 10]]\nB =\n[[7, 2, 6, -6, 2, 6],\n [-4, 4, 2, 0, -6, -10],\n [10, -2, 10, -1, -10, -10],\n [-8, 8, -9, 0, -7, 2],\n [0, 7, 7, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[6, -7, -5, -2],\n [9, -4, 10, -1],\n [-2, -6, -2, -10],\n [-6, -1, -5, 10],\n [5, 2, 10, 4]]\nB =\n[[-4, -6, 4, -7, -7, 8],\n [10, 5, 10, -9, 8, 7],\n [0, 1, -6, -2, -7, 8],\n [8, 7, -10, -5, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -9, 5, -2, -4],\n [2, 10, 4, 0, -8],\n [-9, -9, 1, 7, 3],\n [8, 5, -8, -6, -5]]\nB =\n[[-8, -2, 1, -1, -1, -4],\n [-10, 0, 3, -7, 2, -7],\n [-5, 2, -2, 5, -10, 9],\n [5, 4, 6, 4, -10, -10],\n [-6, 3, -10, -9, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 9, -2, 1],\n [-9, 10, 0, 10],\n [-10, 9, 2, -1],\n [8, 4, 10, -8]]\nB =\n[[-8, -2, 4, -9, 7],\n [-4, 1, -3, 9, 6],\n [5, -1, -3, -1, 2],\n [8, 3, 5, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -5, 3, -6],\n [-9, -7, 2, 2],\n [-10, -9, 10, 6],\n [8, 6, 5, 7],\n [0, -7, 5, 0],\n [-10, -10, -7, -9]]\nB =\n[[-5, -8, 4, -10],\n [0, -8, -5, 5],\n [8, 9, -7, -4],\n [2, -7, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1685", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 4, -4, 7, -6],\n [-3, 8, -5, 6, -2],\n [1, -4, -1, 4, -8],\n [8, 0, -4, 8, 0],\n [-10, -1, -7, -5, -2]]\nB =\n[[-7, 10, -8, 4],\n [9, 4, 4, 0],\n [-1, 8, 1, -6],\n [9, -10, 7, 10],\n [9, 10, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 4, 3, -7],\n [-3, -7, -2, 9],\n [-10, -4, 8, 4],\n [-3, -5, -10, 6],\n [4, 4, 8, -10],\n [-6, -2, 3, 1]]\nB =\n[[-2, -2, 8, 0],\n [2, 5, 3, 2],\n [4, -3, 9, -3],\n [9, 7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 5, -6, 9, -4],\n [0, -10, -3, 1, -3],\n [-8, 6, 5, 3, -10],\n [10, -9, -10, -9, -5],\n [5, 2, 0, -6, -10],\n [-3, -7, 10, -6, 6]]\nB =\n[[-4, -10, 9, 9, 2, -2],\n [-7, -2, -7, 9, -8, -3],\n [-2, -9, -6, -1, -8, 4],\n [-8, 6, -4, -4, -5, -10],\n [9, 8, -3, 9, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3094", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -7, 0, 1, 0, 2],\n [-8, -4, 3, 9, -9, -5],\n [9, -2, -5, 10, -10, 6],\n [3, -5, 0, -9, -9, 1]]\nB =\n[[-2, -9, -8, 5, -4],\n [7, 8, -5, -9, -5],\n [-1, -2, -10, -2, -1],\n [8, -7, 4, -8, 9],\n [-5, -8, -2, -2, 5],\n [3, -5, 6, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 1, -10, -4, -10],\n [8, 9, -4, -9, -1],\n [0, -10, 2, -6, -5],\n [1, -1, -6, 4, -4]]\nB =\n[[9, 1, -7, -4, 5],\n [-5, 6, 7, 10, -2],\n [-6, -8, -4, 2, -3],\n [7, -10, 8, -6, -2],\n [-8, 9, 10, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[10, 5, 0, -3, 6],\n [8, -2, -2, -10, 2],\n [3, -7, 0, 1, 5],\n [0, 4, 5, 1, -7],\n [3, -6, -3, 6, -3],\n [-5, -3, 4, 4, -7]]\nB =\n[[10, -7, 5, -4, 3],\n [-5, -8, 8, -3, 7],\n [9, -10, -9, -5, 5],\n [-8, 2, -8, -6, 4],\n [-3, -9, -1, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -9, 4, -8, 6],\n [0, -1, 0, -1, -6],\n [7, 1, 8, 0, -7],\n [-2, 1, 9, 3, 8],\n [-8, 9, -3, 1, -3]]\nB =\n[[-8, -5, 2, -9, -5, 4],\n [7, -10, -1, 8, -2, -10],\n [-2, -3, 5, -8, -1, -1],\n [-9, -5, -9, 2, 6, 3],\n [-5, 3, -7, -2, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1890", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 10, -9, -7, -2, 0],\n [10, -6, -6, 3, -5, 10],\n [-10, 1, -7, -7, -5, -7],\n [-7, -7, 10, 8, 5, 3]]\nB =\n[[4, -5, -7, -10, -9, 1],\n [0, 6, 4, 10, 9, 10],\n [8, -2, 6, -10, 10, -4],\n [6, -5, -3, -9, -8, -10],\n [2, 0, -8, 1, -7, -9],\n [8, -1, 2, 9, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -2, 0, 6],\n [-5, 1, 8, -9],\n [-10, 7, -2, 6],\n [-5, 8, -2, -9],\n [7, -4, -1, -6]]\nB =\n[[-4, -8, -6, 4],\n [6, -10, -6, 8],\n [2, 8, 5, -3],\n [-1, 10, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-9, -4, -3, 7, -4, -3],\n [7, 5, -10, -7, -9, -10],\n [-9, -3, 7, 1, 8, -2],\n [-2, 1, 0, -6, 1, 3],\n [9, 1, -6, -1, 1, 4]]\nB =\n[[-2, 2, -2, -2],\n [0, -7, 2, 2],\n [1, -6, 9, -2],\n [-5, 3, -10, -1],\n [3, 10, 2, 0],\n [-6, 3, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -4, 1, -7, 5],\n [9, -3, 1, -10, -2],\n [2, -7, -9, 10, 2],\n [-9, 0, 3, 7, 8]]\nB =\n[[-2, 2, 9, 4],\n [0, -10, 8, 1],\n [5, 5, -6, -3],\n [10, 6, 0, -4],\n [-2, 8, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -2, -9, -6, -4],\n [-8, 4, 2, 0, -5],\n [9, 8, -8, -4, 3],\n [2, 10, 1, 0, -6],\n [4, 3, 1, -5, -8]]\nB =\n[[-9, -9, 10, 4, 2],\n [2, 7, -9, -2, -5],\n [6, -4, 3, -2, 8],\n [-7, 2, -3, 6, 4],\n [-4, 8, 1, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 8, -3, 1],\n [2, 3, -9, -8],\n [-6, -4, -9, 8],\n [-3, -2, -2, -3],\n [7, -10, 5, -8]]\nB =\n[[5, 3, -10, -4],\n [-10, -3, -4, -2],\n [-10, -10, -4, 1],\n [-7, -10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "801", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -4, -4, 0, -6, 8],\n [-10, -8, -9, 9, 8, 10],\n [4, 4, 8, -2, -1, -4],\n [-7, 5, -9, 1, -5, -9],\n [1, 8, -5, 6, -5, 6],\n [5, 7, 4, -7, 8, 7]]\nB =\n[[6, 6, -1, -9, 7, 9],\n [5, 9, -8, -7, -7, 2],\n [-4, -8, -7, -6, -10, -8],\n [7, -4, -8, -8, 8, 9],\n [-7, -4, -9, -1, -8, -5],\n [4, 10, -2, -8, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "473", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 1, -3, -1, 5],\n [4, -1, -5, 10, -1],\n [4, -1, -6, 4, -2],\n [2, 6, -2, 4, -4],\n [3, -8, -3, -9, 3]]\nB =\n[[-9, 10, 4, 1],\n [0, -9, 7, 10],\n [0, -2, -9, 0],\n [-10, -8, 0, 6],\n [4, 4, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1612", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 5, -9, 2, -6],\n [-2, 4, -5, 0, -6],\n [5, -5, -6, 9, 6],\n [9, -10, 3, 6, 0]]\nB =\n[[10, -10, 9, -4, -1, -5],\n [-6, 2, 6, 2, 1, 1],\n [-8, -4, -7, -7, -4, -7],\n [9, 1, 10, -9, 10, 8],\n [-8, 8, -1, 5, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1039", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[1, 2, 7, -10],\n [-6, -8, -1, 1],\n [5, -5, -6, 8],\n [2, 5, 4, -5],\n [0, 4, 0, 1],\n [6, -2, 4, 3]]\nB =\n[[9, -9, 7, -3],\n [-6, 8, -2, -5],\n [-3, 7, 10, -10],\n [-8, 3, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 7, -3, -1],\n [5, 9, -10, 9],\n [-4, -3, 6, 8],\n [-8, -5, 8, 8],\n [-1, 2, 9, -8],\n [-7, -9, 2, -2]]\nB =\n[[6, -5, -10, -2, 9, 8],\n [-3, 8, 8, 1, 4, 8],\n [-9, 4, -2, 8, -2, -9],\n [5, -8, -6, 6, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2552", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 7, 10, 9],\n [-1, 9, -3, -6],\n [-1, 9, 6, -8],\n [6, -9, -10, -1],\n [10, -2, -5, -9],\n [-9, -6, -10, 7]]\nB =\n[[-7, -2, -5, 1, -6],\n [1, 2, 5, -4, -9],\n [8, 4, 7, -5, -10],\n [7, 2, 5, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2586", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[8, 0, 10, 5],\n [-3, 10, 6, 2],\n [0, 2, 7, 7],\n [-3, -6, 5, 3]]\nB =\n[[-2, -1, -2, -2],\n [4, 7, 2, -7],\n [9, 9, 9, -10],\n [7, -7, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-3, -3, 7, -1],\n [1, -6, -8, 10],\n [4, 1, 5, 2],\n [9, 4, -1, -8],\n [10, -2, -2, -6]]\nB =\n[[-7, 9, -3, 4, 1, -3],\n [2, 3, 10, 4, 8, 8],\n [2, -5, -5, 7, -3, 10],\n [-9, 7, -6, 2, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[3, -10, -2, -9, 1],\n [4, 4, 10, -2, 8],\n [9, 5, -5, 1, 4],\n [-2, 10, -8, 7, -5],\n [-8, 9, -7, -8, 3],\n [-3, 7, -3, 9, 10]]\nB =\n[[-7, 9, -9, 9, 5, 3],\n [-10, -6, -5, 3, -7, -5],\n [4, -9, -3, 10, -8, 9],\n [1, 7, -8, -2, 1, 6],\n [9, -4, 9, -4, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[9, 4, 6, -2, -9],\n [-9, 0, -2, -9, -2],\n [7, -3, -4, 10, -2],\n [5, -4, 9, -5, 9]]\nB =\n[[6, 6, 8, 3],\n [-1, -6, -3, -1],\n [-3, 3, 10, -1],\n [-6, -7, -8, -1],\n [-10, -1, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -3, -7, -5],\n [0, -4, 1, 2, 3],\n [5, 8, -8, 7, 0],\n [3, -6, -10, -7, 0],\n [-8, 2, -9, 0, -4],\n [-2, 6, 7, 5, 3]]\nB =\n[[-10, 0, -10, 9],\n [3, -5, 8, 5],\n [1, 1, 9, -7],\n [0, -8, -4, -7],\n [-8, 9, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1434", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 4, -2, 4],\n [8, 0, 5, 1],\n [0, -6, 0, -1],\n [3, 6, 8, -3]]\nB =\n[[-4, -2, 9, -1, 2, 1],\n [8, 7, -5, 0, -7, 9],\n [10, 6, -9, -4, 0, 10],\n [-7, -1, -9, -9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -6, 6, -10, 4],\n [-4, 0, 8, -6, -4],\n [8, -8, 5, 0, 5],\n [3, 9, 10, -7, -5],\n [0, -1, 7, 8, 3],\n [-4, 3, -5, 7, 4]]\nB =\n[[2, 9, -8, 2],\n [-9, 10, 8, 2],\n [-8, 1, 2, 10],\n [9, 0, 10, 4],\n [3, -3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 0, -5, -5, -2],\n [-3, 3, 2, 1, -3],\n [2, 3, 0, 7, -2],\n [-8, 1, 10, -4, 2]]\nB =\n[[8, 3, 1, -6, -6],\n [-2, -9, -3, -2, 3],\n [1, -9, -7, 0, -8],\n [8, 0, -4, -8, -5],\n [3, -2, -9, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 4, 2, 5, 10],\n [3, 9, -1, 8, 0],\n [-4, -9, 1, 5, 10],\n [10, -10, 8, -2, -6],\n [2, 8, -7, 0, 4],\n [3, 0, 5, -7, 8]]\nB =\n[[-1, 7, -10, -10, 2],\n [7, 8, -10, -3, -5],\n [-2, 5, -6, -2, -4],\n [2, -3, 6, -6, -2],\n [-2, -7, 8, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1873", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 7, -7, -6, -9, -2],\n [10, -10, 6, 8, 2, -10],\n [0, -3, 6, 5, 2, 2],\n [-6, 0, -8, 9, 1, 0],\n [1, 2, 0, 4, -5, 7],\n [2, 7, 9, -9, -4, 2]]\nB =\n[[7, 3, -2, -2, -1, -5],\n [-2, -5, -6, 5, -6, 4],\n [7, 0, 2, -9, 2, 7],\n [7, -5, 6, 8, 7, 4],\n [4, -1, 2, -6, 5, 2],\n [4, 8, 10, -1, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 8, 2, 6, -9, -6],\n [-8, -2, -10, -8, -9, 1],\n [6, -8, -2, 3, 7, 4],\n [9, 8, 3, 7, 2, -7],\n [7, 3, 8, 1, -4, -2]]\nB =\n[[2, 2, -9, -9],\n [-8, -5, -8, 5],\n [-2, -8, 0, 7],\n [0, -5, 10, 6],\n [6, -4, 0, 7],\n [-7, 6, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1485", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 7, 0, 9, 0],\n [5, -9, -10, 9, 3, 7],\n [9, 0, -2, 8, -10, -3],\n [-7, -5, 10, -8, -2, -1]]\nB =\n[[-2, -8, 4, -9],\n [-7, -6, -2, 8],\n [-10, -3, -3, -6],\n [-6, -9, 4, 1],\n [-3, 10, 8, -4],\n [9, 10, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[6, 9, -8, 0, 9, 2],\n [7, -8, 0, -6, 5, -2],\n [4, -8, 3, 5, -7, 7],\n [-3, 0, -1, -1, -6, 7],\n [-1, 1, 6, -10, -6, 7],\n [3, -1, 10, -4, 10, -2]]\nB =\n[[5, -7, -9, 10, -1, -7],\n [-1, -10, 1, 1, -9, -9],\n [7, 2, 7, -10, -5, 9],\n [3, 2, 8, -7, 3, -10],\n [6, 9, 5, 9, -1, 3],\n [0, -9, 9, -7, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 5, -2, -3, 3, -3],\n [8, 0, 4, -6, 2, -6],\n [-7, -8, -8, -6, 10, 2],\n [10, -2, -9, 1, -3, 7]]\nB =\n[[3, 9, -4, 3, 5, -4],\n [3, -7, 10, 4, -1, -1],\n [-4, 5, 4, -8, 4, 0],\n [-5, -3, -4, -3, 9, -1],\n [7, 4, -8, 8, 5, 0],\n [-4, 7, -6, -4, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -5, -6, -6, 7, -3],\n [5, 7, -10, -5, -4, -4],\n [-8, 10, 8, 1, 8, -4],\n [-4, 1, 1, 6, 0, -7]]\nB =\n[[0, 7, 7, 10],\n [5, 7, -2, -6],\n [0, 3, -10, -3],\n [-7, -8, 4, 4],\n [-7, -7, -8, -8],\n [8, -8, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1376", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -4, -9, 10, -6],\n [-7, 3, -3, 9, -4],\n [-10, -8, -4, -3, 8],\n [-7, -2, 10, 9, -7],\n [-4, 3, -9, -2, 5]]\nB =\n[[-6, -8, 2, -9, 3, 6],\n [-5, -6, 8, 1, -9, -6],\n [9, -1, 0, -4, -7, -4],\n [-7, -6, -8, -6, 4, 7],\n [0, -3, 2, -3, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 2, -9, 6, 10],\n [6, -1, 1, 1, 6],\n [0, 7, -10, 7, -6],\n [1, 9, -5, 9, -4],\n [-9, -6, 10, -2, -7]]\nB =\n[[4, -4, 1, -10],\n [4, 1, 4, 10],\n [8, 10, -8, -8],\n [-7, -8, -5, 4],\n [-2, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1768", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 8, -5, -4, 2],\n [3, -6, 5, 1, 1],\n [3, 0, 5, 5, -5],\n [-7, -9, -9, 7, 8]]\nB =\n[[-9, 7, 8, 7, 1, -4],\n [8, -8, 9, -10, -4, 1],\n [-2, 8, -6, -7, 0, 0],\n [7, -5, -1, 3, -9, 5],\n [-8, -4, -1, 4, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 2, 2, -4, -2],\n [10, 2, 7, 6, 4, -7],\n [3, -1, 6, 5, -6, -5],\n [-6, -9, 6, -3, -3, -1],\n [-7, 9, 9, -1, 9, 4],\n [-7, -9, -8, 7, 10, 4]]\nB =\n[[8, 10, -3, -8, 7, -1],\n [-9, 0, 6, 9, 3, 1],\n [5, -3, 1, -1, -9, -8],\n [9, 8, 8, -6, 6, -1],\n [-6, -3, 9, -10, -2, 0],\n [-10, -6, 6, 1, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2786", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -4, 4, 4, 9],\n [3, -4, 3, 6, 1],\n [4, -1, -4, 9, -3],\n [1, -5, -10, 0, 4]]\nB =\n[[-7, -1, 5, -2, 9, -4],\n [8, -10, 10, 4, 1, -3],\n [-3, -5, 2, 0, 0, -4],\n [-7, 2, 0, -5, -3, -1],\n [4, -6, 10, -10, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 5, -6, 10, 2, -8],\n [10, -3, 0, 9, 0, -8],\n [2, -2, -9, 2, -6, 0],\n [-5, 3, 4, 3, -9, 9],\n [-1, -1, 10, 5, -3, -10],\n [4, 5, 9, 5, -2, 6]]\nB =\n[[9, -1, 1, -8, 0],\n [-6, -9, 0, -10, -2],\n [4, 9, -9, -3, 1],\n [-10, -1, 1, -1, 9],\n [1, 5, 7, -8, -3],\n [9, 7, 9, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-451", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 7, 9],\n [-2, 10, 4, 7],\n [-2, -5, 6, -8],\n [10, -8, -6, 7]]\nB =\n[[3, 3, -2, 4, 3],\n [0, 4, 2, 8, 6],\n [-4, -2, -10, -1, 0],\n [-5, -5, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-621", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, 2, -7, -10],\n [-5, -8, 7, -7, -2],\n [-1, -5, 9, -8, -8],\n [-4, -7, 9, -3, 9],\n [-7, 3, -9, -7, 9]]\nB =\n[[4, 4, 2, 5, -10],\n [9, 5, -10, -3, -2],\n [0, 2, 6, 7, 6],\n [-7, -1, 0, -5, 8],\n [5, 8, -9, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2002", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -9, 2, -4, 3],\n [-4, -6, -10, 9, -5],\n [3, 4, 1, -4, 3],\n [8, 2, 1, 8, -1],\n [10, 3, 4, 0, -9],\n [2, -6, 9, 4, -3]]\nB =\n[[1, -8, 0, 4, 10, -10],\n [-5, -3, 4, -1, -8, 4],\n [-1, -2, -4, 4, -10, -3],\n [1, -10, -9, 4, 7, 1],\n [1, -3, 0, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1842", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 7, -3, -4, 0],\n [0, -5, -7, 9, 0],\n [-10, 0, -3, 3, 8],\n [-8, 4, 4, 10, 9],\n [1, 9, 0, 3, 9]]\nB =\n[[8, 3, -9, -1],\n [-8, 7, 9, -6],\n [-5, 1, 2, 3],\n [7, 10, -5, 1],\n [-3, 7, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -3, 10, 7],\n [-3, 7, -1, -1],\n [5, 3, -8, -10],\n [6, 8, -7, -7]]\nB =\n[[-9, 8, -1, 4],\n [6, -7, 7, -4],\n [7, 7, -4, -8],\n [-8, 2, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "734", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 7, 7, 6, 4],\n [5, 2, 9, 7, 8],\n [-5, 3, -2, 9, 8],\n [-8, -4, -3, -1, 8]]\nB =\n[[0, 7, -3, -3, -3],\n [1, -6, 6, -8, -1],\n [5, 7, 7, 10, 8],\n [9, 0, 0, 6, -4],\n [-4, -4, 8, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 1, -10, 1, -4],\n [0, -3, 7, -3, -8],\n [7, 10, -6, -2, 6],\n [2, -6, 7, -10, -6]]\nB =\n[[7, -6, -7, 6, 3],\n [-5, 9, -3, 10, -1],\n [-7, 5, 2, -1, 3],\n [2, 0, -3, 10, 9],\n [-5, -4, -2, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 9, -4, 9],\n [6, 9, -4, 6],\n [2, 8, -10, -9],\n [8, -10, -5, 6],\n [-10, 9, 8, 2]]\nB =\n[[-5, 10, 9, -9, -6],\n [-2, 7, -2, 7, -1],\n [-9, 8, -7, -10, -5],\n [-3, 8, -6, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 3, 1, -3],\n [9, -8, 3, 1],\n [-1, -2, -7, 2],\n [2, -7, 3, -10]]\nB =\n[[-8, 8, 6, 7],\n [7, 8, -1, -1],\n [-1, 2, -9, 4],\n [5, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, 8, -2, 8, 3],\n [-10, 6, 7, -9, 8, -2],\n [10, 7, -7, -2, -4, -6],\n [-8, -10, 2, 4, 5, 7]]\nB =\n[[10, -3, -4, 10, 1],\n [-8, 6, 5, 9, -7],\n [9, -8, -7, -5, -10],\n [-6, -9, 6, 9, -5],\n [-8, 3, -6, 7, -8],\n [7, -6, 9, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-497", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -8, 5, 0],\n [2, 1, -9, -2],\n [3, -6, 9, -3],\n [-1, 10, -1, 6]]\nB =\n[[2, -6, -9, -10],\n [-5, -6, -2, -8],\n [8, -9, 7, -1],\n [5, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[4, 4, -4, 3],\n [5, 4, 4, 1],\n [1, 10, 5, -1],\n [2, -5, 6, 0]]\nB =\n[[-10, 9, 9, -10, 7],\n [-9, -3, 1, 10, 5],\n [-3, -6, 9, 3, -7],\n [7, 3, 4, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, 5, -7, 3],\n [-2, 2, -1, -5, -3],\n [1, 8, -8, 7, -8],\n [-6, 6, 6, 7, 10],\n [-3, 9, 7, 2, 6],\n [-4, -10, 1, -8, 3]]\nB =\n[[2, 1, 3, 3, -8, 6],\n [3, -10, 3, 7, -4, 0],\n [0, -9, 9, 1, -2, -9],\n [7, -3, -6, -4, 0, 4],\n [-1, -1, 4, 6, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 1, -1, 0],\n [-8, 1, -2, 9],\n [-8, -9, -8, 5],\n [0, 10, -5, -3],\n [9, 1, -5, 10]]\nB =\n[[-10, -8, 10, -1, 3, -2],\n [-1, -3, -2, -6, 2, -4],\n [9, -7, -8, -5, -5, 9],\n [5, 10, 0, -9, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "605", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 10, 6, 6],\n [7, 7, 4, -1],\n [0, 4, -7, -5],\n [1, -3, -2, -2],\n [-2, -4, -9, 1],\n [-8, 8, 6, 10]]\nB =\n[[-7, 0, 5, -6, 4, 0],\n [9, -7, 3, 6, 5, -7],\n [8, 3, 3, -5, -3, -3],\n [0, 7, -6, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 8, 4],\n [-4, -9, -3, 9],\n [5, -9, 7, 3],\n [9, 8, -3, 10]]\nB =\n[[-1, 4, -3, 1, -9, -9],\n [4, -2, 6, -10, -6, -9],\n [9, -6, -3, -7, -7, -1],\n [-9, -9, 5, -10, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 1, -2, 5, 8],\n [-4, -10, -1, -7, -8],\n [-5, 5, 4, 9, 2],\n [-4, 5, 3, 6, -2],\n [-8, -1, 8, -4, -8],\n [4, 6, 6, -4, -2]]\nB =\n[[0, 8, -3, 9, -10, -8],\n [9, 4, -10, 0, 0, 2],\n [6, 3, 0, -3, 7, 8],\n [10, 4, -1, -10, -5, 8],\n [7, -6, 2, -10, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3084", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -5, 9, 9, 5],\n [-6, 9, -1, 9, -6],\n [-1, -6, -9, -1, 2],\n [7, 0, 2, -6, 9]]\nB =\n[[10, -3, 7, -1, -7, 0],\n [-3, 4, 4, -10, -10, 3],\n [-3, 6, -8, 1, 0, 4],\n [-1, -2, 5, 8, -5, 4],\n [8, -3, -6, -5, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 9, -5, 1],\n [-5, 8, 4, 0],\n [-1, 2, 2, -9],\n [7, -10, -7, 9]]\nB =\n[[1, -3, -10, 10, 8, -1],\n [-9, -7, -2, 2, 8, 10],\n [8, -10, -3, 9, 3, 9],\n [-2, -9, 9, 9, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1386", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 1, 10, 5],\n [-10, -6, -1, -9],\n [-2, 3, 4, -5],\n [-8, 1, -3, 1]]\nB =\n[[-9, 4, 10, -8],\n [-8, -3, 6, -8],\n [7, 9, 5, 7],\n [-9, -8, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 3, -9, -2, 3, 4],\n [0, -7, 2, 9, -10, -10],\n [-4, 3, -7, 8, -10, -1],\n [4, -5, -6, 0, -6, -2]]\nB =\n[[-1, -7, 9, -3, -6],\n [8, -10, -3, 8, 4],\n [2, 3, -1, 8, 5],\n [-6, -4, 6, 2, 3],\n [8, 8, 2, 10, 4],\n [1, 3, -1, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1542", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -6, -2, -4, -3],\n [1, 1, 7, 3, 0],\n [0, -1, -2, -3, -8],\n [7, 3, 4, 1, 5],\n [5, 4, 7, 3, 4],\n [7, 10, -10, 2, -1]]\nB =\n[[-4, 5, 8, -7, -2],\n [-5, 5, -9, -5, -5],\n [3, -10, 4, -2, -2],\n [-3, -4, 7, -2, 0],\n [-8, -2, 7, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 0, -1, -3, 7, 5],\n [-8, -10, -4, 5, -4, -3],\n [-9, 7, -3, -5, 1, 10],\n [-3, -9, -6, 5, 6, -4],\n [1, 8, 3, 8, -10, -2]]\nB =\n[[-8, -4, -8, -10],\n [6, -4, -9, -3],\n [-9, -6, 0, -6],\n [5, 8, 5, -6],\n [2, -4, -4, 10],\n [-8, 3, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1713", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[10, 4, 3, -10, -2],\n [1, 7, -9, 7, -2],\n [-2, -7, 8, -5, -6],\n [0, -7, 4, -7, -6],\n [-2, 1, 5, -8, 4],\n [7, -10, 4, -7, 6]]\nB =\n[[-6, 0, -4, 5],\n [-7, 9, -3, 10],\n [2, 8, 4, 8],\n [6, -9, 9, 0],\n [-1, 10, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 4, 9, -9, 6, -4],\n [1, -1, -9, -1, 9, 5],\n [-1, 10, -5, -9, -6, 6],\n [-4, -9, -5, -9, 7, 2]]\nB =\n[[5, -10, 5, 5, -3],\n [-1, 3, 1, -1, -8],\n [-6, 4, 6, 4, 8],\n [9, 5, -10, -8, -7],\n [3, 6, 5, 5, -8],\n [-2, -2, -4, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 4, 6, 6, 2],\n [3, -2, 0, -9, -9],\n [-9, -8, 8, 7, -3],\n [-8, -10, 7, 1, 2],\n [2, 3, -10, -9, 9],\n [6, -9, 6, -7, 2]]\nB =\n[[6, -4, 1, -8, -9, 3],\n [-2, 9, -3, -10, -3, -7],\n [-7, 9, 4, 8, 8, 1],\n [1, -9, -6, 5, -3, -4],\n [-10, 6, -3, 3, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 5, 0, -7, -4],\n [-10, 3, -10, -8, 2],\n [-8, 9, 1, 4, 10],\n [4, 7, -6, 4, -2],\n [1, -1, 2, -10, -10]]\nB =\n[[10, -1, 6, -2],\n [4, -1, 1, 8],\n [-6, -10, -5, -9],\n [-4, -6, 7, -2],\n [-3, -4, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "663", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, -3, -10, 3, 3],\n [7, -4, -4, -5, -2],\n [5, -7, 10, 3, 1],\n [-1, 7, -1, -7, -7]]\nB =\n[[-5, 5, -3, -7, -5],\n [3, 3, -1, 2, 5],\n [7, 4, -2, -1, -6],\n [-3, 9, 6, 6, 3],\n [-8, 8, 7, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -4, -3, -3],\n [8, 9, 8, -2],\n [-8, 0, 1, 6],\n [-3, 7, -8, -8],\n [-9, -3, 10, 7]]\nB =\n[[7, 3, -8, 4, -3],\n [4, -10, -2, -3, -7],\n [5, 6, 6, -9, -9],\n [-6, -9, 3, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1672", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 6, -9, -3],\n [9, 9, 2, -6],\n [0, 8, 5, -2],\n [9, 8, 3, 5],\n [-6, -1, 3, 9]]\nB =\n[[-5, 5, 3, -3, 1],\n [-9, 4, -6, -2, 2],\n [5, -3, -3, -9, 4],\n [-8, -10, -3, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-385", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 5, -7, -6, 3],\n [1, 0, -8, 3, -9],\n [0, 9, -8, -6, 8],\n [-6, -9, 1, -1, -5],\n [1, -1, 5, -4, -9],\n [5, -6, -7, -1, -5]]\nB =\n[[3, -2, -4, 7, 10, 4],\n [-1, -10, -6, 8, -9, 9],\n [-1, -8, -8, 0, -6, -8],\n [-10, -5, 7, -7, 10, -3],\n [-10, -5, 10, -7, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2365", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, -5, 2, 6, -6],\n [3, 5, -3, -5, 1, -7],\n [7, 0, 7, 1, 10, 10],\n [-6, -10, -9, 10, 3, 5]]\nB =\n[[2, 5, -9, 0, 2, -4],\n [-2, -6, 2, 2, 1, 5],\n [9, 0, -2, -1, 6, -10],\n [-1, -6, -9, -10, 2, 2],\n [-6, 4, -8, -10, 8, 4],\n [7, -3, 1, 4, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[7, 2, -4, -4, -7, 7],\n [7, -9, 4, 10, 10, -7],\n [3, 0, 6, 7, -10, -7],\n [-2, 6, 8, -1, 5, -1]]\nB =\n[[6, 9, -1, 10, 9],\n [-6, -3, -9, 9, 5],\n [7, -7, 1, 7, 1],\n [-7, -4, -10, -6, 0],\n [-10, -6, -5, -10, -8],\n [-6, -10, 9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[0, -2, 6, 8, -9],\n [-1, 3, 4, -2, 6],\n [9, 4, 1, -6, 5],\n [10, 8, -7, -6, 5],\n [8, -5, -3, 7, 3],\n [3, -5, -1, 0, -3]]\nB =\n[[1, 10, -7, -7, 4, 5],\n [8, -4, -6, -10, 0, -3],\n [-3, 4, -4, -7, -6, 3],\n [8, 8, -9, 5, 2, -2],\n [-1, 7, 4, -6, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-8, -6, 1, -2, 6, 3],\n [-10, -10, 6, 6, -7, 4],\n [3, -7, 8, 10, -1, 4],\n [-8, -6, 10, 1, -6, -3]]\nB =\n[[-9, -5, 1, 3, -2, 9],\n [9, 5, 9, 4, -5, -3],\n [2, -3, -1, 10, 3, -4],\n [-4, 1, -4, 4, -10, -8],\n [7, -6, -5, -3, 10, -8],\n [6, 0, -8, -4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -10, 10, 7, 8, 6],\n [0, 4, 9, -9, 8, 4],\n [6, -7, -3, -8, -8, -1],\n [-1, 3, 8, 2, 9, -8],\n [10, 0, -8, 7, 2, 6]]\nB =\n[[3, 8, 6, -4, 5, -7],\n [-4, -10, -9, -3, -5, -10],\n [6, 8, 10, -10, 8, -4],\n [10, -5, -5, 9, 0, -7],\n [-1, 1, -3, 6, -10, 4],\n [0, -2, 7, -1, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "652", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 3, -5, 8],\n [9, -9, -5, -2],\n [3, -7, 0, 7],\n [4, -7, 4, 4],\n [2, 9, 1, 0],\n [-6, -5, -2, 2]]\nB =\n[[7, -1, 9, 10, -5, 1],\n [7, 0, 7, -4, 6, -3],\n [5, -10, -4, 6, -8, 0],\n [-1, 5, -7, 0, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[4, 10, 5, -5, 5],\n [-9, 8, -6, -2, -1],\n [2, -4, 10, -2, 3],\n [-9, -7, 5, 3, 3],\n [-2, -9, 1, 3, -2]]\nB =\n[[-6, -1, -3, 2, 8, 5],\n [4, 3, -4, -1, 4, -4],\n [-5, -1, -1, 10, -9, 1],\n [-9, 2, -8, -4, -5, -7],\n [6, -4, -10, -9, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 9, 1, 10, -1],\n [-4, 7, 9, -4, 4],\n [4, 8, 3, -9, -4],\n [-9, -4, -7, -7, -4]]\nB =\n[[-8, -10, 3, -2, -4, -5],\n [0, -9, -2, 3, -1, 10],\n [-5, -4, -10, 0, -9, 8],\n [-2, -8, -2, 7, 6, -8],\n [-6, 3, -3, 4, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, -8, 2],\n [-2, -8, 5, 0],\n [4, -2, -7, -8],\n [9, 10, -6, 2]]\nB =\n[[5, -5, 9, -5],\n [1, 6, 9, 5],\n [-5, 5, 6, 5],\n [-5, 10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -9, -5],\n [7, 5, -7, 6],\n [8, 0, 2, -7],\n [-10, 0, -1, -2]]\nB =\n[[6, -2, 6, 7, 7],\n [-10, -3, -3, 6, -10],\n [3, 0, 3, 4, 5],\n [-3, -9, 5, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 9, -2, -9],\n [-10, 6, -3, -9],\n [9, -10, -6, -5],\n [-2, 4, 9, 2],\n [0, -1, 4, -4],\n [5, -5, -1, -3]]\nB =\n[[-8, 10, 5, -1],\n [-10, -6, 5, 3],\n [-2, -2, 4, -3],\n [-6, -2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1249", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-3, 3, 7, 4],\n [2, 7, -2, -7],\n [6, 6, -1, -4],\n [-3, -1, 2, -10],\n [0, -5, 9, -6],\n [-6, -7, 0, -7]]\nB =\n[[-6, 6, 5, 6, 6, -5],\n [-1, 6, 0, -1, -10, -4],\n [8, -5, -8, -7, -1, -9],\n [-2, -5, 1, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 6, -4, -4],\n [2, -10, -9, -6],\n [-1, -1, 1, 1],\n [9, -3, 6, -9],\n [-8, -3, 4, 9]]\nB =\n[[8, 7, 4, -1, 9],\n [-4, 9, -3, 4, 6],\n [4, 1, 9, 7, 6],\n [1, 2, -7, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[4, -7, 4, 10, 0, 3],\n [6, 8, -1, -8, -1, -4],\n [6, 9, -8, -10, -5, 10],\n [8, 7, 6, 10, 5, -2],\n [5, -1, -3, 7, -9, -6],\n [-9, 2, -7, -2, 3, 10]]\nB =\n[[5, -9, -5, -7, 4],\n [-9, 1, -6, -5, 10],\n [6, -5, -9, 5, 7],\n [-3, 5, -2, 6, 9],\n [-6, 0, -6, 10, -7],\n [3, -1, 0, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 5, -6, 7],\n [-3, 6, 2, -9],\n [-8, -7, 3, -1],\n [4, -5, -2, 8],\n [-6, 8, -7, 3],\n [2, 1, -5, -5]]\nB =\n[[4, 3, 2, -1],\n [-2, 4, -8, 7],\n [9, -10, -5, 9],\n [7, -2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, 4, -1, -4],\n [8, -5, -8, -8, 5],\n [-4, 3, 6, 7, 5],\n [2, -1, 7, 0, -2],\n [-1, 10, 2, 3, -4],\n [0, 8, -10, 5, -1]]\nB =\n[[0, 7, -6, -4, 10, -10],\n [2, 2, -5, 9, -7, 3],\n [10, 10, -7, 4, -10, 6],\n [-6, -3, 3, -10, 1, -6],\n [2, -10, -6, -6, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[9, -3, -3, 9, -10, -3],\n [1, -4, 1, -5, -8, 3],\n [-2, 4, 10, -8, -7, 10],\n [0, -9, -3, -3, 1, 4]]\nB =\n[[6, -9, 8, -2, 5],\n [4, 8, -4, 10, -7],\n [-4, 3, 8, -7, 9],\n [-7, 6, -1, 10, 2],\n [-4, -6, 7, 2, -1],\n [4, -1, -3, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 1, -4, -3],\n [9, -1, 5, -8],\n [10, 10, 7, 4],\n [3, 1, 0, -8],\n [10, -10, 5, 2]]\nB =\n[[5, 8, -6, -8],\n [3, 2, -1, -1],\n [2, 0, 6, 3],\n [-9, -2, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 2, 7, -3, -10, -2],\n [-8, -10, -8, -7, 4, -6],\n [-10, -6, 8, 5, -10, 4],\n [-7, -6, 6, 3, -5, 3],\n [-9, 5, 1, 10, 2, 3],\n [-3, 1, -7, -9, -3, -7]]\nB =\n[[7, -7, -8, 9],\n [3, 1, 7, 9],\n [-4, -4, 5, -3],\n [5, -3, -1, -9],\n [0, -2, 4, 9],\n [-2, -2, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-503", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 3, -6, 8],\n [8, -10, 1, -4],\n [-1, 3, 0, -4],\n [5, -2, -8, -6],\n [4, -8, 0, -4]]\nB =\n[[9, 0, -7, -7, -10, -5],\n [-5, 4, 6, -6, 0, 7],\n [8, -7, -10, 2, -2, -4],\n [0, 0, 6, 7, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-495", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -9, -1, 9, -1, 0],\n [-6, -6, -3, -2, 0, 2],\n [0, 0, 4, -8, 4, -1],\n [-4, -2, -8, 0, 8, -2],\n [-5, 9, 3, 0, 4, -8]]\nB =\n[[8, 7, 3, 9, 3, 9],\n [-8, -7, -2, 0, -2, 0],\n [-6, 7, 1, -4, -3, -10],\n [-5, 10, -5, 6, -2, 4],\n [9, -9, 3, -10, 1, 3],\n [-7, 7, 2, -9, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -8, -2, -5, -7, 3],\n [-3, -5, 0, 0, 0, 5],\n [2, 3, -4, 4, 6, -2],\n [-6, -6, 3, 8, 5, 0],\n [9, 4, 7, 8, -1, -4],\n [4, -1, -5, 3, 0, 10]]\nB =\n[[-10, -1, 3, -9],\n [-10, 3, -2, 3],\n [3, -1, 4, 1],\n [-6, -10, 1, -4],\n [10, -1, 0, 7],\n [6, -2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -5, 5, 3, -10, 5],\n [-5, -4, 8, -5, 7, -4],\n [5, 0, -7, 9, 3, 0],\n [9, -3, 6, -8, 6, 9],\n [-9, 6, -6, -6, -9, 9]]\nB =\n[[7, 0, 4, 2, 9],\n [5, 10, 5, 6, -7],\n [-5, 8, -3, 9, -7],\n [6, -5, -4, 9, -7],\n [-3, 2, -6, -7, -4],\n [3, 7, 3, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1730", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 10, 5, 4, -5],\n [-6, -4, -1, 9, 4],\n [1, -5, -7, 8, 3],\n [-5, -8, -2, -3, 7],\n [10, -8, 1, -3, -2]]\nB =\n[[2, -2, -3, 0],\n [-5, 1, 0, -3],\n [0, -9, -3, 6],\n [5, 0, -8, -6],\n [5, -7, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "868", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 4, -9, 0, 3],\n [1, -3, -2, -1, 6],\n [10, -6, -2, 8, -5],\n [-7, -6, -3, 10, -2]]\nB =\n[[1, 10, 2, -10],\n [-3, 7, 4, 5],\n [1, 10, 5, -9],\n [6, -5, -5, 3],\n [10, 9, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, 6, -4],\n [6, 1, 10, 7],\n [7, 0, -7, -8],\n [8, 8, 0, 0],\n [-8, 6, 2, 6]]\nB =\n[[-1, 10, 9, -7, 10, 2],\n [-5, -5, 3, 6, -10, 3],\n [4, 6, 3, -1, 0, -5],\n [4, -10, 9, -5, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -9, -1, -9],\n [10, -3, 10, -9],\n [-1, 0, 3, 10],\n [-5, 3, 5, 3],\n [5, 2, 7, -7]]\nB =\n[[-1, 7, 3, -10],\n [-6, 3, 5, 8],\n [10, -9, 3, 6],\n [2, 7, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1095", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[7, 5, 7, -2],\n [10, -8, -2, -4],\n [-10, 1, 6, -10],\n [-5, 0, -2, -7],\n [-1, 8, 7, -2]]\nB =\n[[3, -5, -4, 10, -3, 3],\n [2, 3, -6, 10, -1, -7],\n [-4, -10, 9, 4, -8, 5],\n [2, 9, 9, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -5, 5, -7, -10],\n [-6, 1, -2, 1, 1],\n [0, -1, 5, 6, 3],\n [7, -4, -10, 0, -9],\n [8, -5, 8, -6, -4],\n [-4, -8, -10, 2, -4]]\nB =\n[[9, -7, -9, -7, -5, -9],\n [5, -6, -10, 4, 2, 3],\n [5, -10, 10, -6, -9, 5],\n [-4, -3, 5, -7, 6, 6],\n [3, -9, 3, -8, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, -2, -7, -1],\n [3, 8, 3, 4, 3],\n [-5, -10, 8, -10, 3],\n [9, 0, 3, -5, 10],\n [-7, -4, 9, 1, -10]]\nB =\n[[0, -6, -7, 3, 0],\n [-8, -9, -6, 5, -8],\n [2, -7, 5, 0, 9],\n [3, 1, 8, -4, -7],\n [-8, 4, 5, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1875", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, -1, -4, 6, -8],\n [6, 9, -7, -9, 8, 8],\n [7, 8, -3, 8, 6, 2],\n [4, 2, -3, 2, -6, -10]]\nB =\n[[10, -5, 0, -7],\n [0, 7, -3, 10],\n [7, -9, 1, 6],\n [-1, 9, -5, 10],\n [-5, 0, -1, -3],\n [1, 0, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "767", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, 7, 5],\n [-7, -5, 4, 5],\n [-7, 4, -9, -8],\n [-10, 0, -5, 4],\n [0, 7, 6, 3]]\nB =\n[[4, 5, 3, 6],\n [1, -10, -5, 0],\n [-4, -9, 4, 10],\n [-9, -6, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -1, -1, 5, 1],\n [4, 7, -7, -2, -5],\n [-6, 2, -6, -3, 2],\n [0, -10, 4, -4, 5],\n [9, -10, -2, 7, 3],\n [3, 10, -8, -2, 8]]\nB =\n[[4, -8, -9, 6, 7],\n [-2, 7, -7, 6, -3],\n [0, -5, -10, 2, -1],\n [1, 8, 5, 1, 6],\n [8, 8, 1, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 6, 8, 3],\n [-1, -2, 9, 6],\n [9, 9, 4, 0],\n [9, 10, -3, -3],\n [0, -3, 4, 4]]\nB =\n[[8, -6, -9, -1],\n [-3, 0, 8, -7],\n [-8, -10, 5, 0],\n [3, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -4, -5, 0],\n [-2, -4, -5, 0],\n [3, -7, -6, 0],\n [3, 10, 8, -8],\n [-9, -8, -2, 10],\n [0, -9, -9, -3]]\nB =\n[[3, -8, -2, -9],\n [8, -9, 2, -1],\n [-5, 2, -9, 6],\n [-1, -7, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -4, -5, -10, -2, 1],\n [6, -9, -6, 2, -7, -3],\n [-7, -1, -1, 2, -1, 10],\n [9, 3, 8, 9, -8, -10],\n [-6, 2, -3, -3, -5, -3],\n [10, -6, 10, -6, 2, -9]]\nB =\n[[-1, 9, 1, -5, 8],\n [-9, -4, 5, -9, 0],\n [-1, -8, -4, -9, -9],\n [10, 1, -1, -7, 8],\n [-2, 10, -1, -3, -4],\n [2, -1, 6, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -9, 8, 7, 0, 5],\n [1, 9, -2, -10, 9, 8],\n [8, 10, -3, -3, -5, 5],\n [6, -7, 4, -7, 9, 9]]\nB =\n[[1, 3, 8, -10, -7],\n [6, 9, 6, -2, -6],\n [-1, -5, 8, -2, 6],\n [-5, -6, -5, 4, 3],\n [0, -10, 0, 3, -10],\n [-8, 0, -3, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2113", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-1, 0, 6, 3],\n [2, -3, -1, 7],\n [-1, -2, 4, 10],\n [-3, -10, -6, -6],\n [6, -9, 9, -6]]\nB =\n[[-7, -5, -8, -9],\n [4, -7, 6, -1],\n [0, -3, 5, -9],\n [0, -5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 1, 0, -5, 3, -3],\n [8, 6, -5, 9, -5, 4],\n [0, 3, -4, 4, -8, -9],\n [6, 1, 8, -5, -8, 10],\n [6, 10, -2, 1, -7, 10]]\nB =\n[[1, -7, 4, -8, 7],\n [-4, -5, -9, 8, -9],\n [-3, 9, -5, -10, 7],\n [2, -7, -9, -9, -6],\n [-9, -6, -6, -4, 7],\n [-9, 9, -9, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 9, -1, 0, 6, 7],\n [5, 5, 8, -1, 8, 2],\n [1, -4, 1, -1, 10, 6],\n [-10, -10, 5, 0, -2, 3],\n [-3, -9, -3, 10, -9, -7],\n [-4, -8, -1, -8, -7, -7]]\nB =\n[[10, 8, -10, 9],\n [-6, -5, -3, 10],\n [-9, -10, 3, 6],\n [-5, -3, 1, -5],\n [-6, 10, -5, -10],\n [8, 0, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 8, -3, -2],\n [-7, 6, 8, -5],\n [2, 7, -10, 2],\n [-4, 7, -5, -4],\n [5, 3, -4, 0],\n [0, -7, -5, 4]]\nB =\n[[4, 7, 1, -5, 9, 9],\n [-7, 8, 6, -5, -2, 2],\n [-9, 7, 0, 0, 1, 3],\n [10, 1, 7, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 3, 4, -3],\n [-10, 4, -4, 3],\n [2, 5, -7, -9],\n [7, -9, 4, -3],\n [9, -7, -10, -5],\n [1, 4, 9, -2]]\nB =\n[[1, -2, 8, -10],\n [0, -2, 0, 4],\n [-8, -9, 3, -3],\n [-4, 4, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[3, -9, 7, -10, -3, 3],\n [9, -7, 9, -4, 5, -4],\n [5, -10, -4, -6, -1, 9],\n [-8, -8, 10, 7, -6, 8]]\nB =\n[[-10, 0, 1, -8],\n [-1, 6, 8, -2],\n [10, -1, 10, 1],\n [-4, -4, 9, 8],\n [5, 3, -10, 5],\n [0, -7, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 2, -6, 10],\n [-6, -9, 7, 6],\n [2, 7, -8, -8],\n [5, -8, 8, 8]]\nB =\n[[-4, 2, -7, 8],\n [7, 2, -8, -10],\n [-6, 0, 10, 0],\n [2, -8, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, -3, -2, 2, -9],\n [2, 6, 10, 3, 5, 9],\n [-3, -10, 2, 3, 6, -10],\n [2, -5, -10, 2, 10, -7]]\nB =\n[[-3, 4, -3, -7, 5, 9],\n [2, 6, 7, 4, -2, 10],\n [7, -5, -1, 3, -8, -4],\n [4, 1, -3, -1, 10, -7],\n [8, -5, -6, -9, -9, -5],\n [2, 8, -5, -10, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 8, 10, 10],\n [-8, 6, 9, 3],\n [-9, -9, -2, -6],\n [8, 3, 3, 9],\n [-10, 9, 3, -4],\n [7, -7, 1, -6]]\nB =\n[[5, 9, 1, -4, 1],\n [8, -10, 2, -7, -1],\n [-8, -3, 3, -4, 2],\n [-9, -2, 8, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -8, 9, 5, 9, 8],\n [-9, -3, 4, 3, 9, 7],\n [10, 9, -8, -9, 6, 10],\n [6, 0, 10, 7, -7, -2],\n [10, 6, -6, 3, 5, -3]]\nB =\n[[-2, -10, 8, -4, -5],\n [1, -8, -6, -9, 10],\n [-5, 8, -9, -3, -9],\n [0, -4, -2, 7, -7],\n [-2, 0, -6, 9, 5],\n [8, 8, 0, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, 2, -6],\n [8, 7, 9, 4],\n [-6, 10, -1, 2],\n [-6, 6, 1, -10],\n [-3, 4, 7, 3]]\nB =\n[[10, -10, -8, -1],\n [10, 4, 5, -9],\n [-1, -4, -7, 9],\n [-9, -10, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 0, 8, 5, -3, 2],\n [4, -3, -9, -7, -4, 5],\n [-10, 7, -4, -9, -10, 5],\n [7, -9, 6, -2, -6, 5]]\nB =\n[[3, 9, -9, -3, 0, 2],\n [-5, -6, -5, -7, -10, -6],\n [-9, -1, -3, 1, 10, 2],\n [-3, 3, -3, 0, -6, 10],\n [5, -2, 2, -10, -7, -1],\n [-7, 9, 0, -5, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1789", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[8, -4, -8, -1, -2],\n [-1, -7, 8, -1, -9],\n [-9, -6, 7, 0, 4],\n [-4, -8, 7, -10, -1]]\nB =\n[[8, 0, -1, -7, -3, 6],\n [7, -1, 1, -3, 1, 7],\n [10, -1, 7, -7, 1, 7],\n [1, -1, 10, 9, 2, 6],\n [-8, -5, -1, -4, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -10, 4, -10, 2, -5],\n [-4, 4, 1, -10, 8, 3],\n [6, -9, 3, -1, 10, -5],\n [4, -2, -2, -7, 4, -9],\n [1, 10, 7, 7, 0, 2],\n [-6, -5, 3, -6, -9, 4]]\nB =\n[[3, 0, -3, -1, -4],\n [-1, -9, 4, 6, -6],\n [-10, 5, -3, 10, -2],\n [-8, -2, 6, -3, -7],\n [-10, -9, -1, 2, 9],\n [9, 2, -8, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 5, 3, 6],\n [8, 0, 8, -9],\n [-5, 2, -6, 0],\n [7, 6, 9, -4]]\nB =\n[[-10, 8, -3, -1],\n [-3, 5, 8, -9],\n [-7, 4, 2, -7],\n [-2, 0, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -3, -5, -2, -5, 8],\n [7, 7, -4, 2, -1, -5],\n [-5, 4, 2, 2, -10, 4],\n [7, 9, 6, 5, -1, 6],\n [-7, -8, -4, 5, -4, 10],\n [6, 9, 3, -8, -5, 4]]\nB =\n[[-1, 7, -3, 5, 3],\n [-5, -2, 8, -4, -4],\n [-7, 7, -8, 2, -6],\n [0, 9, -8, 7, 10],\n [3, -4, 6, 10, -5],\n [0, -1, 9, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 5, -9, -7, -3, 10],\n [1, 5, -1, -7, 1, -1],\n [-7, -9, 0, -10, -6, -5],\n [10, -1, 5, -3, 3, -6]]\nB =\n[[1, 9, -4, 8],\n [-1, 4, -7, -7],\n [10, -10, 3, 5],\n [-2, 8, 5, 5],\n [-5, 2, -9, -2],\n [-1, -3, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 7, -2, -9],\n [-7, 4, -8, -6],\n [10, -2, 5, -9],\n [1, 0, 2, 8]]\nB =\n[[2, 0, -3, -4, 3, -1],\n [-6, 6, -3, -8, 9, 9],\n [-5, 3, -6, 6, 5, 8],\n [-9, -5, -8, -4, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1185", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -9, -6, -6, -4],\n [3, 10, 2, -2, 10],\n [-9, 5, 5, 4, -8],\n [-7, -1, -1, -2, -2],\n [2, -8, 9, -8, -5]]\nB =\n[[5, -10, -9, 6, 4],\n [8, 0, 9, -1, -3],\n [-6, 10, 7, 0, -10],\n [6, -3, -8, -4, 4],\n [-8, -3, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[9, 4, 5, 2],\n [10, -8, -7, -9],\n [6, 0, -10, 0],\n [0, 4, 1, 3],\n [6, 7, -6, -6]]\nB =\n[[-4, -8, 10, -4, -8, -4],\n [10, -2, -9, -2, 0, 0],\n [-2, -3, 9, 3, 9, 9],\n [-10, -2, 7, -10, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 2, 5, 8, 4, -1],\n [3, 5, -6, 10, -4, -9],\n [8, 1, 7, 8, -1, 7],\n [-10, -4, 2, -7, 6, -10],\n [2, -8, -6, 9, 6, -1]]\nB =\n[[7, 8, 10, 9, -4],\n [3, 5, 4, 7, -3],\n [-1, 8, 10, 1, 6],\n [1, 7, 3, 3, -2],\n [1, -6, 10, -10, 1],\n [8, -2, 8, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -1, -2, 3, -3, 9],\n [10, 4, -2, -8, 2, -10],\n [-7, -1, 2, -4, 7, 1],\n [-8, 5, 2, 6, 1, 6]]\nB =\n[[6, 10, 7, 2, -2, -6],\n [-8, -7, 2, -9, 7, 9],\n [10, -5, -5, -7, 3, 2],\n [6, 2, 8, -2, -8, 9],\n [-7, 4, 9, -5, -9, -5],\n [-7, -10, 10, -1, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 4, -3, -6, -1],\n [3, -1, -6, -4, 8],\n [5, 9, 10, -6, 3],\n [3, 9, -8, 5, -1],\n [2, 1, -9, -9, 6]]\nB =\n[[-6, 3, 8, -4, -6, 6],\n [4, 9, -5, 0, 7, 5],\n [-6, -7, 8, -8, 10, 7],\n [7, -2, -5, -8, 8, -3],\n [10, -8, 5, -3, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -6, 2, -6, -3, 10],\n [-7, 1, 0, 6, 3, 5],\n [-5, 0, -1, -8, -9, -4],\n [5, -5, -7, -2, 3, -5],\n [2, 0, -2, 4, 8, 8]]\nB =\n[[7, -3, -3, 0, -9],\n [-5, 9, 10, 5, -4],\n [9, -8, -2, 5, -2],\n [-8, 4, 1, -10, -7],\n [3, -3, 0, -1, 10],\n [3, 2, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 4, -5, -2, 2, 8],\n [4, 8, 6, -3, -8, 3],\n [5, 3, -7, -1, 5, 5],\n [3, 1, 8, -3, 9, 8],\n [-2, -1, -9, 1, 9, -8],\n [8, 1, 6, 0, -9, -1]]\nB =\n[[10, 8, 7, 7],\n [-1, -8, 0, 2],\n [-2, 8, -5, -5],\n [-7, 9, 5, 4],\n [-7, 1, -1, 5],\n [-4, 0, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 6, -1, 2, -3, -9],\n [-4, 8, 2, -8, -8, 4],\n [-9, -5, 10, -9, 10, -9],\n [1, 0, -5, -10, 0, 8],\n [-5, 1, -7, 3, 5, 1]]\nB =\n[[-4, -5, -7, -1, -5, 8],\n [-3, 7, 1, 6, -8, -1],\n [8, -6, 1, -10, 0, 3],\n [0, 0, 6, -10, 4, -7],\n [10, -7, 0, 4, -5, -1],\n [-7, -7, -8, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, -7, -4],\n [1, -7, 2, -8],\n [1, -2, 5, 5],\n [7, 6, -4, -1],\n [4, -5, -4, 7],\n [3, 5, 8, -7]]\nB =\n[[10, -3, -4, 3],\n [-1, -3, 4, 0],\n [0, -5, -2, -9],\n [-5, -6, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 10, -8, 9],\n [6, 9, 2, 6, 9],\n [7, -6, 3, -1, -4],\n [-7, -3, -1, 10, 0],\n [7, -4, -4, 2, 3]]\nB =\n[[0, 9, -6, 10, 7, 8],\n [8, -9, 2, 4, -10, 3],\n [6, 4, 4, 6, -9, 6],\n [6, 2, 8, -10, 10, 8],\n [-7, 9, -5, -6, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "648", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 6, -5, 4],\n [-6, -6, 4, -7, -6],\n [-4, -5, 5, -10, -10],\n [2, -3, 8, 9, -5]]\nB =\n[[-8, -2, -8, 1, -1, 9],\n [7, 2, 4, 8, -9, 7],\n [-4, 8, 1, 6, 2, 9],\n [6, 7, 1, 10, -9, 8],\n [-5, -8, 4, -8, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 10, 5, -7, -10, 2],\n [2, -8, -4, 10, 6, -4],\n [8, -2, 7, -1, -7, -8],\n [10, -6, 1, -4, 8, -3]]\nB =\n[[-9, -1, -4, -1, -9, 4],\n [-1, 4, -9, 8, 2, 7],\n [-9, 9, -5, -5, -5, -5],\n [-10, -3, -1, 0, -9, -2],\n [-4, 7, -2, -10, 10, -6],\n [-5, 8, 8, 4, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-731", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[5, 2, 4, 7],\n [-9, -5, -3, -3],\n [-8, -3, -8, -4],\n [-2, -7, -9, -4],\n [7, 3, 8, 10]]\nB =\n[[8, -6, 6, 1],\n [2, 5, 2, 2],\n [0, -8, 5, -7],\n [9, 8, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-2, 3, -6, 9],\n [-7, 9, 7, -6],\n [-10, 10, 1, -8],\n [-8, -4, 10, 3],\n [5, 3, -7, 2]]\nB =\n[[2, 6, -5, -10, 0],\n [0, -2, 10, -3, -7],\n [10, -8, 9, -5, 5],\n [10, 3, -8, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 1, 1, 3],\n [-6, -4, 1, -7],\n [6, -4, -2, 3],\n [6, 8, 6, -8],\n [1, -6, 8, -10]]\nB =\n[[-7, 5, -6, 4, 9],\n [9, 0, 2, -1, 10],\n [5, 9, 3, 0, 9],\n [-6, 5, -8, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, 0, -6],\n [-2, 2, -2, 8],\n [-2, -9, 1, 1],\n [-1, -7, 4, 5],\n [-4, 7, 0, 8],\n [-9, 4, 5, -8]]\nB =\n[[3, -8, 3, 1, 9],\n [-9, 10, -2, 3, 3],\n [3, -7, -3, -6, -3],\n [-4, -2, 8, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1841", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -8, 10, -4, 1, 0],\n [8, -3, 3, 1, 8, 8],\n [2, 6, -1, 9, 5, -5],\n [-2, 7, 6, 0, 3, 4]]\nB =\n[[-9, 7, 9, 8, 6, -8],\n [2, -1, -10, 3, 7, 9],\n [-5, 3, -4, -7, -8, 1],\n [1, 0, 6, 1, 0, -10],\n [9, 3, -1, 2, -8, 2],\n [-1, -5, 8, -4, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -9, 8, -6, 6, 0],\n [7, -9, -7, -7, 0, 7],\n [-10, -5, -4, -10, -6, -5],\n [0, 7, 3, 1, -10, 4],\n [9, 10, -9, -6, 5, 3]]\nB =\n[[-10, 8, -10, -3, 4],\n [0, -4, 1, -1, -1],\n [6, 10, 2, -9, -5],\n [-3, 9, 3, 1, -4],\n [-10, -9, -2, -1, -6],\n [-7, 6, 8, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1985", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 0, 10, 9],\n [4, -3, 3, 6],\n [3, 3, -7, 8],\n [10, -5, 9, 0],\n [-1, 3, 4, -8]]\nB =\n[[0, 10, -10, -5, 3],\n [0, 10, -8, -7, -5],\n [5, -4, -9, 7, -4],\n [-9, 3, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, 4, 5],\n [3, 8, -3, 0],\n [10, 8, 4, -7],\n [-3, -8, 1, -6],\n [10, 9, -7, 8],\n [9, 10, 7, 7]]\nB =\n[[0, -3, -7, 10, 10, 3],\n [-4, 6, 7, -6, 6, -1],\n [-1, -8, 4, -6, 5, 0],\n [2, -3, -6, -3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 4, 3, -1, 1, 4],\n [-4, 9, -5, 2, -8, 1],\n [-6, -5, 2, 7, -3, 8],\n [4, -4, -9, -1, -6, -3]]\nB =\n[[9, 0, 7, -4],\n [5, -7, -4, -1],\n [7, 1, -8, 7],\n [-4, -2, -1, -3],\n [8, 6, -4, 9],\n [-10, 7, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 3, -1, -8, 6],\n [3, -10, 6, -7, -4],\n [0, 2, -8, -4, 1],\n [-2, 10, 5, 0, 4]]\nB =\n[[-6, -7, 6, -5, -6, -8],\n [10, -8, -2, -7, 9, 4],\n [0, -6, 5, -1, 4, -8],\n [1, 4, -10, 8, 10, 3],\n [6, -4, 8, 7, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-8, 0, -7, 4],\n [10, 10, 5, 7],\n [-4, 10, -5, 3],\n [7, 3, -3, -7]]\nB =\n[[8, -9, -1, 7, 9],\n [4, 5, 6, -8, 9],\n [-9, 7, 10, 8, 5],\n [6, 0, 1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, 8, 6],\n [-9, 1, -6, 8],\n [6, 5, -3, 2],\n [9, 3, -2, 1],\n [8, -7, 10, -8],\n [-6, 10, 8, -5]]\nB =\n[[-10, -4, 10, 2, -6, 0],\n [4, 5, -9, 4, 8, 5],\n [-6, 3, -9, 1, 1, 6],\n [7, 3, -1, -4, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-3, 9, -9, 8],\n [2, 0, 10, 9],\n [-10, 7, -3, -4],\n [7, -1, -3, -2],\n [-8, -8, 8, 0]]\nB =\n[[9, -7, -7, 5],\n [5, -6, 0, 1],\n [7, -3, 10, -6],\n [-4, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-8, 7, 1, 5, -7, 10],\n [5, 4, 0, 0, 0, -6],\n [-3, 4, -10, -3, 0, 10],\n [6, 4, -4, 6, -3, -6],\n [1, 2, -3, 9, 6, -3],\n [1, 5, -7, -2, -8, -5]]\nB =\n[[-2, 2, -2, 0],\n [-6, 3, 2, 7],\n [-4, -3, 4, -5],\n [-3, 10, 2, -10],\n [9, -3, -3, 8],\n [4, -5, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, -4, 3],\n [-2, -6, -8, -4],\n [-9, -1, 8, 2],\n [5, 8, 4, 10]]\nB =\n[[-3, 1, -3, 6, -5, 10],\n [-1, -3, 9, -8, 7, 10],\n [-9, 10, -8, -7, 8, 4],\n [3, -5, -3, 4, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, 0, 2, 8],\n [1, 1, -6, -5, 0],\n [1, -2, -4, -7, 6],\n [3, 1, 8, 7, 2]]\nB =\n[[-1, 2, 2, 8, -1, 9],\n [7, -6, -6, 7, -9, -3],\n [-5, 3, -2, 9, 10, 6],\n [4, -3, -8, 7, 8, -8],\n [9, 2, 5, -2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 9, 5, 8, 10, 2],\n [-7, 10, 8, 5, 1, 0],\n [4, 5, 1, 6, 2, 7],\n [1, -8, -2, -6, -7, 0]]\nB =\n[[6, 8, 10, -3],\n [-10, 3, 10, 1],\n [10, -3, -10, -4],\n [10, 4, 6, -5],\n [-9, -9, -1, 1],\n [0, -3, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, 4, -1],\n [7, -3, 10, 8],\n [-9, -1, -9, -1],\n [-4, -3, 3, 9],\n [7, -4, 4, 3],\n [-10, 1, 6, -7]]\nB =\n[[-3, 9, -4, -9, -5],\n [1, -8, 8, 5, 10],\n [2, -5, 9, -2, 0],\n [0, 4, -10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-3, 6, 5, -5, 8, -8],\n [8, -9, -6, 0, 4, -9],\n [-7, 9, -8, -4, -2, 3],\n [0, -2, -1, 8, 2, 9],\n [-1, -4, -9, 8, -5, -9]]\nB =\n[[-7, -4, 9, -6],\n [-7, -4, 6, 5],\n [-3, 6, -8, 2],\n [-6, -3, 1, 7],\n [4, 3, -7, -6],\n [4, -8, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, -1, -2, 7, 9],\n [-8, -1, -8, 8, -3, -3],\n [7, -1, -1, -4, -5, 4],\n [3, 1, 10, 2, -6, 0]]\nB =\n[[7, 7, 8, 2, -6],\n [6, -9, 10, 7, 4],\n [5, 6, -3, 8, 5],\n [5, 3, 9, 10, -7],\n [3, -1, -9, 3, 5],\n [-5, -8, 2, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1055", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 7, -2, -4, -5],\n [-5, 5, -6, 8, -3, 4],\n [-4, -8, 10, 1, 9, 0],\n [7, 9, 10, 10, -7, -5]]\nB =\n[[-7, -8, 1, 9, -6],\n [-5, -7, -4, 5, 2],\n [8, 5, -4, -6, 0],\n [4, 2, 2, -5, 10],\n [-4, -4, 8, -7, 9],\n [-3, 10, 7, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 10, 1, -1, -10],\n [-10, -5, 3, -5, -1],\n [-9, -8, 6, -4, 2],\n [10, 7, 0, 9, -2]]\nB =\n[[6, -4, -4, -10, 4],\n [-1, -1, 2, -3, 8],\n [-2, -6, 0, -6, 10],\n [6, -7, 3, 9, -7],\n [-10, -7, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -7, -1, 7, -3, 8],\n [-4, -2, 1, 2, -5, 10],\n [-4, -10, -5, 3, 9, 0],\n [7, 9, 4, 7, -4, -8],\n [-6, 0, 4, 5, 3, -10]]\nB =\n[[-5, 5, 9, 0, 5, 6],\n [3, -3, 6, 6, -8, -5],\n [-9, -1, -10, 5, -3, 8],\n [3, 4, 1, -5, 3, -10],\n [10, -10, 10, 5, -10, -2],\n [-7, 0, 8, -9, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 7, 2, 10, 7, -4],\n [2, -2, -9, 6, -8, 8],\n [-3, 10, 3, 0, 5, 1],\n [-6, 10, -5, -2, 9, -1]]\nB =\n[[-8, 10, 3, -10, -8, -9],\n [-8, 1, -8, -5, -1, 3],\n [-8, 0, -1, 4, 1, 4],\n [0, -2, -5, -3, 10, 8],\n [-7, -3, 5, 0, 6, 3],\n [9, 8, -10, 7, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1634", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 10, 5, 8],\n [-6, 5, 3, -1],\n [-10, -1, -4, -4],\n [3, 0, -3, 8],\n [-10, 2, 1, -10]]\nB =\n[[-9, 8, -6, 9],\n [-9, -7, -8, 1],\n [9, -5, 9, 2],\n [2, -2, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, -4, -6],\n [-4, 1, -9, 8],\n [1, -5, 1, -7],\n [-4, 5, -9, 1],\n [7, 2, 4, -7]]\nB =\n[[2, 0, 7, -2],\n [-4, 0, -3, -3],\n [8, -2, 7, -3],\n [6, 2, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 0, 8, -1, 7],\n [1, 4, 7, 10, -1],\n [-3, 10, 5, -5, 2],\n [5, 5, 5, 10, 2]]\nB =\n[[-7, -8, -3, -3, -6, -7],\n [5, 7, 9, 4, -1, -3],\n [8, 7, 1, -8, 1, 3],\n [5, 4, 2, -6, -8, -9],\n [0, -6, 0, 10, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 10, 5, -9],\n [-2, 10, 0, -5],\n [-8, 6, 2, -6],\n [-7, -5, 9, -9],\n [7, -4, -4, 9]]\nB =\n[[9, 9, 9, 9],\n [3, 8, 0, 5],\n [2, -8, 6, -6],\n [1, -8, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[3, -9, 3, -8, 8],\n [-9, -3, 5, 3, -6],\n [1, 9, 7, 5, 3],\n [-9, -2, 3, 6, -9],\n [4, -6, -3, 1, -3],\n [-1, -9, -3, -5, 5]]\nB =\n[[2, -2, -9, -8],\n [-3, -9, -7, 3],\n [9, 4, -7, -8],\n [-5, -4, -2, 5],\n [-4, 8, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -9, 6, 9, 2],\n [-7, 1, -1, -10, 8],\n [6, -1, 5, 5, -8],\n [2, -2, 10, 6, -4],\n [-10, -6, -10, 0, -5],\n [-3, 8, 5, 0, 5]]\nB =\n[[-6, -6, 0, 2, -9],\n [8, 8, 8, 7, -6],\n [6, 5, -7, 1, 7],\n [-7, 8, -3, 1, 3],\n [-6, -9, 2, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -7, 2, 6],\n [2, 8, 8, 10],\n [-1, -8, -2, 8],\n [-5, 1, 5, 10],\n [2, 6, -7, -6],\n [9, -3, 5, 9]]\nB =\n[[9, 4, 7, -6],\n [-3, -9, -8, -10],\n [7, 3, -1, -7],\n [-2, 1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 3, 2, 1, 5, -10],\n [9, 4, 9, -5, 7, 1],\n [4, -3, 0, 5, -4, 8],\n [-8, -10, 8, -9, 7, -7],\n [9, 5, 7, -10, 6, -10],\n [7, -4, -8, 6, -10, 6]]\nB =\n[[3, 5, -9, 10, 2, -9],\n [-2, -3, 0, 3, -5, -4],\n [2, 9, 6, 7, -6, 10],\n [-6, -10, 2, 0, 2, -9],\n [-7, -8, 10, 0, 3, 6],\n [4, 5, 10, -10, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 3, -8],\n [-7, 8, 9, 6],\n [9, 5, -1, -8],\n [-9, -8, -4, 7]]\nB =\n[[5, -6, -2, -8, -9, -4],\n [-9, 6, 9, -3, -4, -6],\n [-2, 6, 0, -9, 6, 1],\n [7, 5, -9, 1, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 8, 4, -8, 0],\n [-4, 0, 5, -2, -5],\n [1, -4, -8, -6, -9],\n [-3, 7, -6, 7, -5],\n [6, -3, -5, -9, -8],\n [-9, -4, -5, -7, 4]]\nB =\n[[8, -4, 8, -5, 2],\n [-6, -5, -4, -3, 4],\n [9, 10, -7, 10, -2],\n [1, 1, 5, 2, -1],\n [-5, -2, 5, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -10, 7, 4, 10],\n [-4, -5, -10, -5, 3],\n [2, 7, 10, 6, 2],\n [8, -2, 6, 3, 1],\n [0, -10, -4, 2, -9]]\nB =\n[[-1, -8, 2, 10, 10],\n [-1, -8, 5, 5, -2],\n [-4, -9, -5, 3, -10],\n [-7, 0, 4, 9, -8],\n [3, -9, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, 9, -5, -8, 9],\n [-3, -2, 3, -4, -4, -9],\n [-6, -9, 3, 5, -8, 5],\n [7, -7, 7, -2, 10, 5]]\nB =\n[[0, -4, 10, 2],\n [10, -9, -3, 10],\n [4, -2, 6, -5],\n [4, 3, -3, -7],\n [-8, -6, -7, -3],\n [0, -7, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 3, 8, 5],\n [3, -5, 0, 1],\n [-2, -10, -10, -10],\n [1, 6, 7, 6],\n [-6, 3, -6, 0]]\nB =\n[[-6, 6, -9, 10, 4, 0],\n [10, -5, -1, -8, 2, 8],\n [-10, -6, 1, -7, -7, 3],\n [-1, 3, 3, 2, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 8, -8, -3, 5, 4],\n [-10, -1, -10, 6, 0, -4],\n [3, -6, 8, -3, -5, -1],\n [-9, -8, 0, 6, -5, -8]]\nB =\n[[2, 1, 10, -1],\n [4, 2, -2, 6],\n [-2, 8, -3, 9],\n [-2, -4, 9, -7],\n [-8, -4, -8, 1],\n [4, 5, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -7, 5, -8],\n [-9, 7, 10, 5],\n [-8, -8, -6, -2],\n [3, 0, -6, 5],\n [7, -10, -6, -2],\n [-2, 6, 4, 9]]\nB =\n[[5, -6, 0, -5],\n [-8, -4, -9, 7],\n [0, 3, -10, -7],\n [-7, 7, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 4, 2, 6],\n [-8, -7, -7, -7],\n [-1, -8, 8, 6],\n [10, 7, -7, -10]]\nB =\n[[-10, 5, 4, -10],\n [-3, -8, -9, -6],\n [-6, -5, -4, 0],\n [-2, -9, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, 9, -7, 6],\n [7, -6, 4, 6, 2],\n [-3, -4, 6, 2, 5],\n [-6, 2, -5, 1, 5],\n [-3, -2, 8, 0, 0]]\nB =\n[[8, 1, 9, -9, 2, 7],\n [-2, -3, -9, 7, 2, 1],\n [0, -6, 4, -10, 2, -4],\n [-3, -4, 10, -4, 1, -10],\n [7, 2, -1, -5, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 7, 1, -3, -3, -9],\n [-2, -9, 2, 8, 3, -10],\n [10, -10, 5, -3, 2, 9],\n [-9, 10, -9, -5, 4, 5],\n [7, 3, -10, 0, -2, 3],\n [-2, -8, 5, 10, 7, -5]]\nB =\n[[-9, 3, -9, 0],\n [-8, -3, 9, -4],\n [10, 0, -2, 6],\n [-1, -8, -6, 9],\n [5, -1, 5, -4],\n [4, 4, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -7, 3, 0, 10],\n [-1, -5, 3, 3, 8],\n [-1, -7, -1, -1, 10],\n [-3, -8, -3, -7, 2],\n [5, 0, 3, -5, -2]]\nB =\n[[-4, -5, 5, 2, -5],\n [-10, 6, -10, 8, 4],\n [4, -1, -2, -7, -1],\n [-8, 7, -10, -1, 0],\n [3, -1, -10, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-9, 2, -2, -1, -8],\n [6, -7, 6, -4, -6],\n [2, -2, -6, 1, -4],\n [7, -6, 5, -2, 8],\n [-2, -7, -10, 1, -2]]\nB =\n[[-2, 8, -10, -8],\n [-5, -10, -7, -8],\n [-5, -5, 7, -4],\n [9, -3, -3, 10],\n [0, -7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, -9, -8, -5],\n [10, 5, -6, 8],\n [6, 2, -9, -1],\n [2, 10, 1, -5],\n [1, 4, -1, -2]]\nB =\n[[6, -1, -4, 9, 2],\n [-8, 10, -5, -9, -10],\n [-7, 10, -3, 7, 2],\n [4, -5, 4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, -4, 9],\n [-7, -10, 5, -2],\n [-2, -8, 2, 5],\n [0, -8, 7, 10]]\nB =\n[[-8, -8, 1, 6, -9],\n [-3, -7, -8, 1, -9],\n [-7, 3, -3, -3, -10],\n [-9, -9, 10, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[2, -3, -7, 5, 8],\n [4, -4, 9, -3, -8],\n [-1, 4, -2, 6, -2],\n [-8, 5, 9, -5, 10],\n [6, -1, 2, 2, -7],\n [10, 2, 9, 3, 0]]\nB =\n[[-9, -4, 8, 3, -2],\n [-5, -1, -9, -9, 2],\n [4, -7, 10, -1, 3],\n [-8, 2, 3, -10, 5],\n [10, -7, 1, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[9, -9, -2, -1],\n [-2, 8, -1, 5],\n [9, -8, 6, -4],\n [1, 4, -10, 10],\n [6, -3, 2, 4],\n [9, -4, -8, 10]]\nB =\n[[5, -4, 10, -9],\n [-1, 4, -1, -7],\n [-1, 6, 4, 0],\n [10, 7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, -4, 9],\n [-9, -4, -6, 9],\n [2, -4, -9, 6],\n [-2, 8, 8, -5]]\nB =\n[[0, -10, -10, 4],\n [-2, -9, 2, -7],\n [-3, 9, 9, 6],\n [1, -9, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "836", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 1, 7, -7, 7],\n [3, -6, 9, -9, -2],\n [-10, -10, 0, 5, 7],\n [4, 1, 4, 9, -4],\n [7, 8, 6, 0, 7]]\nB =\n[[0, -6, -2, -9, -9],\n [8, -9, -8, -7, 7],\n [-9, 6, -8, 7, -7],\n [3, -4, -1, 0, -9],\n [-10, 9, 6, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, -3, 0, 9, -5, 2],\n [-10, 10, -5, 2, -4, -10],\n [2, 0, -10, -4, 1, -3],\n [4, 6, 3, 0, 6, -10]]\nB =\n[[3, 2, -4, 9],\n [-9, 6, -3, -2],\n [-4, 10, -3, 6],\n [10, 9, -10, -10],\n [10, 3, 10, -9],\n [3, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-4, 3, 0, -1, -10],\n [1, 6, 2, 6, 0],\n [1, 4, -10, 8, 7],\n [-4, 8, 4, 2, -10]]\nB =\n[[-10, -8, 5, -3, 5],\n [9, -7, -4, 0, 3],\n [10, 5, -9, -5, -6],\n [10, -6, 2, 9, 1],\n [7, -4, 10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 8, 3, 4],\n [4, -10, 2, 9],\n [-1, -4, 7, -4],\n [-5, -6, 9, -8],\n [7, 5, 8, 4]]\nB =\n[[5, 7, 3, -9, 7],\n [6, 2, -2, 9, -8],\n [-7, 3, -3, -5, -10],\n [3, 7, -4, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 1, -2, -8, -5, -1],\n [3, 7, 0, 6, -10, 0],\n [7, 6, 9, 1, -8, -10],\n [-6, -10, -4, -9, 10, -1],\n [1, -10, 10, 6, 8, -9],\n [9, 7, -2, 5, 9, 5]]\nB =\n[[5, -9, -4, 0, 6],\n [-5, 4, 0, 9, 7],\n [-1, 2, 2, -10, 4],\n [-1, -4, -9, 6, 10],\n [-5, -5, -3, -5, 5],\n [-10, -4, 6, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2698", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 3, -5, 0, 2],\n [4, 3, 2, 10, -4],\n [-7, 3, 1, -1, 9],\n [7, -8, -7, -5, 10],\n [2, -5, -7, 10, 4],\n [7, -4, 2, 8, -1]]\nB =\n[[1, -10, -1, 9, -4, -3],\n [-5, 5, 3, -10, -7, -7],\n [-2, 10, 8, 2, -6, -9],\n [-9, -3, 0, -1, -10, -9],\n [-4, -5, 3, -8, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-734", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -1, 7, -4, 1, 9],\n [7, 5, 5, 5, -2, -6],\n [-5, -4, 7, 6, 5, -7],\n [3, 7, -10, -3, -8, 1],\n [6, -7, 4, 7, -6, -6],\n [8, 1, -7, -3, 4, 6]]\nB =\n[[2, 6, -10, -3, 9, 4],\n [1, -5, 9, 8, -6, 5],\n [-4, 10, 10, 9, -8, -7],\n [8, -9, 7, -10, 9, 1],\n [-7, 9, -3, -2, -3, -10],\n [7, 10, 1, -8, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2694", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 4, 6, 6, -8],\n [-1, -6, 7, 6, 9],\n [4, 0, 10, -5, -2],\n [-3, 4, -8, -9, 10],\n [4, 2, -5, -3, -9]]\nB =\n[[6, -10, 2, 9],\n [-6, -2, 10, 7],\n [-5, -1, 7, 6],\n [-8, -2, 2, -2],\n [3, -2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 4, 8, -9],\n [4, -7, -8, 7, 5],\n [4, 8, 4, -2, -8],\n [10, -7, -10, -3, 4]]\nB =\n[[-6, 6, 2, 10],\n [-1, -6, 8, -3],\n [3, -10, 0, 10],\n [-4, 3, -8, 5],\n [-4, -7, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "922", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -1, -6, -7, 0, 0],\n [5, -1, -4, 8, 3, 2],\n [5, -1, -1, -1, 8, 6],\n [3, -2, -7, -9, 2, 7]]\nB =\n[[-5, -7, -4, 2, 10, -9],\n [-6, -9, -6, 2, -3, 4],\n [-4, 1, -6, 2, -2, 2],\n [5, 5, -4, 9, -7, 2],\n [-1, -5, 6, -3, 6, -6],\n [0, 10, 9, 9, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[4, 10, 7, 9, -7],\n [6, -10, -9, -10, -9],\n [6, 7, -4, 2, 3],\n [3, 9, -2, -7, -5],\n [4, 10, -9, 9, 6],\n [0, -10, -7, 0, 3]]\nB =\n[[-9, 4, -6, -8],\n [-9, 1, 0, -9],\n [5, -10, 7, -4],\n [-10, 3, -5, -7],\n [1, 8, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-4, 3, 1, -3, -4],\n [2, 9, -8, -10, 6],\n [7, -9, 1, -6, 6],\n [0, -9, -6, 4, -1],\n [-2, 6, 6, -10, 2],\n [-3, 10, -10, 6, -5]]\nB =\n[[-1, 5, 2, -8, -3, 1],\n [-10, 7, -6, 7, 9, -5],\n [-10, -1, -5, 8, 8, 4],\n [6, -2, 0, 0, -7, 9],\n [-2, 3, 0, 6, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 10, 0, -4, -7],\n [-6, -1, 3, 3, 6],\n [7, 1, -9, 3, -2],\n [10, -10, 4, -3, -3],\n [2, 8, 3, 0, -6],\n [-6, 5, -7, -2, -2]]\nB =\n[[3, -9, 3, 6, -9],\n [-3, -6, -8, -2, 7],\n [-2, 10, 4, 3, -3],\n [-3, -2, 5, -7, -8],\n [5, -10, -4, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1713", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, 4, 5, 4, -10],\n [-7, -3, -9, -8, 3, -8],\n [-9, -7, -2, -2, 2, 10],\n [-10, 2, 10, 1, -8, -10]]\nB =\n[[-4, -4, 5, -1],\n [-3, 6, -3, 5],\n [2, -8, 0, -7],\n [-5, -7, -2, -5],\n [10, -7, 9, 5],\n [2, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 10, -7, 7, 1, 4],\n [8, -7, 4, -3, -7, 4],\n [-7, -1, 7, 7, 7, -5],\n [3, -9, -4, 3, 2, -1],\n [-8, 7, 4, 10, -2, -4]]\nB =\n[[-1, -5, -8, 1, 1, -5],\n [-1, 8, 8, 7, 8, 7],\n [-4, 6, -7, 3, -8, 7],\n [-2, -3, -7, -8, -9, 1],\n [7, 10, -6, -10, -9, -7],\n [4, -6, -1, 6, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-646", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -7, 2, 0, 7],\n [1, -7, -4, 3, 1],\n [2, 3, -2, 7, -10],\n [-9, 8, -8, -2, 5]]\nB =\n[[8, -3, -7, 2, -6, 9],\n [-4, 6, 2, -1, -2, -1],\n [2, 10, 4, -4, -6, 0],\n [-1, 3, -5, -9, 7, 8],\n [7, 4, -4, 6, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -8, 9, -2, -9],\n [-1, 8, -10, -9, 3, 4],\n [2, 2, -10, 5, -6, 4],\n [0, -7, -3, 4, -1, 0],\n [-9, 4, 10, 0, -10, 7],\n [-2, 0, 2, 10, -7, 1]]\nB =\n[[-2, 9, -2, -6, 0],\n [-9, 9, -9, -2, -6],\n [-10, -2, 1, 8, -9],\n [3, -5, 2, 4, -2],\n [-5, 4, -2, -4, 9],\n [4, 5, -9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-1, -8, 5, 9, -3, -5],\n [4, 1, -10, -2, -5, -2],\n [-9, 0, -7, 9, -9, -10],\n [-10, 3, 4, 10, -7, 3],\n [-1, -3, 9, 5, 8, -1]]\nB =\n[[-1, 3, -8, -9, 3],\n [9, -8, -10, 1, -3],\n [0, -2, 4, -10, -9],\n [4, -6, -8, -1, -7],\n [-5, -10, -8, 8, 3],\n [-9, -3, -3, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, 1, 9, 8, 4],\n [5, -6, 7, -8, -5],\n [8, -9, 4, -4, -1],\n [-5, -3, 8, 2, 8],\n [-8, -9, 4, -4, 10]]\nB =\n[[10, -4, -2, 10],\n [-1, -9, -3, -1],\n [-6, -2, 0, -5],\n [0, -4, -1, 7],\n [5, -7, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 7, 6, 0, 1],\n [-7, -5, 1, -8, 9],\n [10, -8, 8, 2, -3],\n [-8, -7, -4, -4, -3],\n [10, -7, -6, 5, -2]]\nB =\n[[-10, 10, -8, -4],\n [5, 5, 3, 5],\n [-7, -8, -9, 5],\n [5, -4, 1, -8],\n [4, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1401", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 10, 5, 4, 0],\n [0, -6, 2, -7, -3],\n [3, -7, -1, 7, -5],\n [5, 9, -4, 4, -5]]\nB =\n[[-3, -5, -6, -4, -9],\n [3, 7, -2, -10, -2],\n [5, -1, -7, -10, 5],\n [6, -10, 6, 8, 5],\n [9, -8, 8, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -2, 9, -2, -4],\n [-9, 1, 10, -1, 1],\n [2, -8, 10, -2, -4],\n [-5, 1, 7, 7, 10]]\nB =\n[[2, -2, 8, -1],\n [6, 6, 3, 4],\n [-8, -6, -3, 3],\n [-5, -9, 1, 3],\n [2, 8, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[10, 4, -7, 4, 1, 7],\n [-10, -7, -8, -8, -7, 9],\n [8, 4, -5, 8, 4, -1],\n [6, 9, 5, 10, 7, 10],\n [-10, 6, -10, -2, 9, -1]]\nB =\n[[-2, -4, 2, -7, 0, 0],\n [7, 0, 5, -5, -8, 3],\n [-4, 0, 6, 8, -1, 9],\n [8, -8, 1, -10, -8, 6],\n [-1, 2, 9, 3, 9, 7],\n [8, 10, 8, 8, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -2, 3, 8, -6],\n [-3, 6, -5, 1, 5],\n [0, 5, -4, 2, -8],\n [1, -8, -3, 3, -5]]\nB =\n[[-8, 1, -5, -1],\n [-6, 9, 9, -5],\n [-5, -5, -9, -7],\n [-6, -9, -4, -1],\n [10, -10, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 6, 7, 7],\n [-7, -2, -5, -6, 6],\n [-6, -9, -9, -4, 7],\n [9, -3, -5, 4, 0],\n [-10, -1, -4, -4, -3],\n [9, 10, 0, 5, 9]]\nB =\n[[7, 3, -4, -10, -4],\n [-6, -4, 8, -1, -8],\n [6, -2, 4, 4, 0],\n [-1, 2, 3, -9, 5],\n [-9, 8, 5, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -9, -2, -2],\n [5, 10, 4, 3],\n [6, -3, 7, -8],\n [-4, -7, 6, 1],\n [9, 7, 8, -4],\n [-3, 2, -4, 2]]\nB =\n[[-3, -7, -2, 8, -10, -3],\n [-5, -8, -10, 2, -3, 8],\n [-4, 0, -2, 6, -9, -8],\n [1, 2, -10, -10, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2598", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -9, -3, -9, 5],\n [0, 3, 1, 6, 6],\n [0, -6, 9, 0, 4],\n [4, -2, 7, 7, 10]]\nB =\n[[-2, -5, -5, -9],\n [9, -10, -6, -1],\n [-4, 9, -3, 6],\n [8, -1, 4, -6],\n [-5, -8, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -10, 1, 3],\n [-7, -4, -1, -5],\n [4, -8, 9, -1],\n [1, 4, -9, 9]]\nB =\n[[10, -3, 9, -4, 8],\n [-1, -9, -9, 3, -8],\n [-3, 2, -2, -6, -9],\n [7, 1, -7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -5, 1, 5, 3, 4],\n [6, 0, -3, -9, 3, -3],\n [9, -4, -7, -5, -7, -6],\n [5, 9, 2, -5, 5, 5],\n [2, 6, 9, -1, 1, 5]]\nB =\n[[-3, 8, -2, 2],\n [-7, -2, 0, -7],\n [-1, 3, 4, 6],\n [-8, -10, -7, -7],\n [0, 10, -8, 9],\n [-3, -1, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -10, -1, 2, -2],\n [-9, -2, 7, -3, 0],\n [-6, 7, -4, 3, 3],\n [7, -1, 7, -6, -9]]\nB =\n[[4, 7, 5, 8, 5, 10],\n [-10, 1, -2, 8, 8, -10],\n [-5, -2, 4, 1, -9, 2],\n [-9, 2, -1, -7, -9, 1],\n [6, -9, 3, 7, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-445", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -4, -2, -6, 5],\n [10, 9, 5, -3, -4],\n [-7, 10, -1, 8, 10],\n [-9, -1, 4, -7, -5]]\nB =\n[[7, 10, 9, 6, 2],\n [1, 1, 9, 0, -6],\n [-1, 1, -2, 2, 7],\n [4, 2, -5, 6, -9],\n [10, 5, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1328", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -7, -7, -7, 6],\n [-1, -7, 0, -1, 4],\n [3, 0, -4, 1, 0],\n [-5, 10, -8, 0, 0],\n [3, 1, -2, 5, -7]]\nB =\n[[2, -3, -10, -6, 4, 2],\n [-4, 1, 10, 9, 1, 5],\n [-4, 9, -7, 10, -8, 9],\n [9, 4, 0, -9, -4, -7],\n [-4, 4, 0, -10, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 5, 10, -7, 3],\n [-8, 2, 2, 9, 1],\n [0, -7, -2, 3, 6],\n [-2, -1, -5, 6, 6]]\nB =\n[[-2, 6, 2, -6, -2],\n [4, -9, -8, -1, 10],\n [-2, 7, -2, -7, -5],\n [4, 10, -1, 3, 8],\n [-1, -3, 3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-2, 10, 9, -6, -4, -6],\n [3, -5, -4, -10, 2, -6],\n [-5, 3, -7, 5, 10, 10],\n [2, 9, -7, 3, 5, -8],\n [3, 0, 7, 10, -4, -5]]\nB =\n[[10, -7, -3, 9, -10, 10],\n [1, -2, -7, -5, -1, -1],\n [-3, 5, -8, 10, 6, 0],\n [-8, -8, -7, 7, -10, -3],\n [2, 7, 8, 8, -7, 8],\n [-5, -10, 2, 0, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, -8, -9],\n [-6, 7, -3, 5],\n [-5, 10, -1, 9],\n [2, -10, 0, 5]]\nB =\n[[2, 7, 1, 8, 4],\n [-3, -9, -8, -7, 1],\n [-6, -2, -6, 1, 2],\n [6, -1, 8, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -9, -7, -2],\n [7, 3, -5, -10],\n [-9, -10, 5, -6],\n [8, 4, 1, 8]]\nB =\n[[7, -5, -7, 1, -2, 6],\n [-7, 0, 4, -6, -4, -4],\n [0, -4, -3, 8, 0, 4],\n [-6, -10, -4, 1, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -6, 8, -8],\n [-3, -6, 3, -6],\n [4, -10, -4, 2],\n [-3, -8, -10, -1],\n [8, 7, -3, -4],\n [3, -3, -9, 2]]\nB =\n[[-10, 3, 9, 2, 3],\n [-3, 5, -4, -6, -6],\n [-4, -8, 0, -1, -8],\n [-4, -6, -7, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "719", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 0, 7, 8, 1],\n [10, 10, 4, -9, -8],\n [8, -6, -5, -1, 3],\n [6, 1, 6, -4, 6]]\nB =\n[[10, -9, -4, -10],\n [-3, -5, -2, -4],\n [5, 3, -7, 6],\n [10, -6, 7, 6],\n [6, -3, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -9, -6, -1, -10],\n [-3, 6, 2, 8, -5],\n [-2, -8, 8, 8, 1],\n [2, -3, -6, 4, 2],\n [-1, -2, 5, -9, -8],\n [10, -5, -6, 0, -3]]\nB =\n[[2, -9, 9, 3, 10, 9],\n [-9, -10, -6, 5, 2, 0],\n [1, 6, -1, -10, 0, 5],\n [2, -10, -4, -7, -2, -2],\n [2, -4, 2, -5, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2070", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -8, -7, 7, -6],\n [7, 9, 8, 4, 4],\n [4, -4, -1, -3, -3],\n [5, 10, 3, 9, -1],\n [-10, -3, 10, -8, 7],\n [7, 5, -6, 5, -1]]\nB =\n[[-3, 9, -7, 9],\n [8, -10, -1, 10],\n [3, 9, -7, 4],\n [10, 7, -7, -4],\n [-1, -7, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[10, -8, -7, -8],\n [-1, 6, 4, -10],\n [-7, 1, 6, -2],\n [3, -9, 0, -6],\n [-1, 7, -3, 9],\n [-8, -10, -2, 6]]\nB =\n[[7, 5, -1, 1, -5],\n [8, -1, -9, -1, 5],\n [-8, 10, -7, 7, -10],\n [-3, 2, -4, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-8, -10, 0, -8],\n [10, 9, -1, 2],\n [3, 6, -2, 7],\n [-5, -7, 2, -3],\n [-1, 6, 2, 1]]\nB =\n[[-1, -5, -10, -7, -1],\n [9, -5, -9, -4, -8],\n [-3, 7, -5, 6, 8],\n [-2, -8, -2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 6, 7, -4, 7],\n [-2, 2, 9, -10, -10],\n [6, 3, 7, 5, 4],\n [3, 9, 1, 3, 3],\n [-10, 4, 6, 5, -7],\n [-8, 4, 9, -2, -4]]\nB =\n[[1, -8, -10, -6, 10, 1],\n [-4, 4, 4, 3, 5, -8],\n [7, 0, -4, 8, -3, 0],\n [-2, -9, 3, 7, -5, -7],\n [-5, 9, -10, 9, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2311", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 9, -4, 4, 1],\n [-4, 8, 5, 8, -8],\n [-10, -3, 8, 6, 6],\n [-2, -6, 3, -2, 10],\n [-6, -3, 1, 8, 9]]\nB =\n[[-1, -1, 5, 5, 8, -2],\n [-10, 7, 9, -4, 10, 6],\n [-9, -8, -5, 4, -4, -2],\n [4, -2, 3, 5, 10, -1],\n [8, -4, 1, -1, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 9, 0, 6],\n [-10, -5, 4, -4],\n [-10, 6, -5, -9],\n [3, 3, -6, 10],\n [-2, -2, 3, 3],\n [9, -9, 3, 4]]\nB =\n[[-9, 6, -9, -4, -2],\n [-8, -8, -8, -9, 1],\n [-3, -3, 3, -6, 5],\n [-1, 5, 7, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 9, -9, -2],\n [-4, 3, -3, -10],\n [5, -10, 10, -1],\n [5, -4, 1, -10]]\nB =\n[[-4, -1, 6, -8, 1, 10],\n [-8, -5, 4, 1, 5, 2],\n [0, -6, -5, -7, 0, -8],\n [2, 0, 5, -2, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1340", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, 4, -5, 5, -7, -1],\n [-10, 4, 9, 10, -7, 8],\n [-8, 4, 2, 6, 8, -1],\n [-1, 1, -9, -2, -4, -5],\n [6, 7, 6, 8, 6, 9],\n [4, -10, 2, -2, 1, 0]]\nB =\n[[-8, -5, 4, 10, 10],\n [-6, 7, 1, 2, 0],\n [7, -4, 3, 7, 5],\n [2, -3, -8, 3, 10],\n [-4, 9, -4, -5, 10],\n [3, 4, -1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -1, -5, -8, -1, -7],\n [9, -4, -3, -7, -2, -6],\n [2, 2, 5, 4, -3, 6],\n [-5, 6, -3, 4, -1, -3],\n [-6, 0, -8, -6, -1, -6],\n [6, 10, 2, 10, -8, -4]]\nB =\n[[4, -8, -2, -4, -8],\n [3, -6, 10, -1, -8],\n [-10, -3, 1, -2, 5],\n [10, -3, -10, -1, 2],\n [-8, -9, -10, 2, 2],\n [-4, -9, 9, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-7, 8, 6, -6, -5],\n [9, -2, -10, 9, 3],\n [-6, 7, 9, 7, -6],\n [4, 1, 9, 2, -1],\n [-9, 5, -10, 6, 2],\n [-5, -5, -9, -7, 1]]\nB =\n[[-2, 6, 2, 10],\n [-5, 6, 4, 0],\n [-1, 5, 10, -3],\n [7, 6, 7, -7],\n [0, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 0, -2, 4],\n [-8, 8, 6, -5],\n [-4, -10, -7, -3],\n [-4, 3, -9, 5],\n [-8, -7, -6, -10]]\nB =\n[[7, -10, -8, 8],\n [-10, -3, -9, -7],\n [-1, -7, -3, -4],\n [-5, 3, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 8, 2, -5],\n [-2, -9, -9, -9, -10],\n [-6, -6, 8, 1, -4],\n [8, 6, -5, 9, 10],\n [-3, -8, 4, 0, -10]]\nB =\n[[1, -2, -9, -6, -7, 5],\n [-9, -1, -9, -5, -2, -3],\n [8, 1, -8, -2, 8, 2],\n [-2, -4, 1, -4, -5, -5],\n [-10, 2, -5, 9, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-9, -7, -3, 8, -7],\n [-10, -4, 5, 3, 2],\n [-1, -5, 0, 10, -6],\n [-10, 3, 7, -10, -9]]\nB =\n[[1, -4, 7, 1],\n [2, -9, 1, 7],\n [9, -4, -7, 1],\n [-10, -8, 8, -8],\n [-5, -1, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-5, 10, 9, 9, 0, 9],\n [-2, -9, -3, 4, -3, 5],\n [2, 9, 3, -6, 7, 9],\n [10, 0, 2, 2, 4, -1],\n [0, 9, 1, 9, 6, -2]]\nB =\n[[8, -5, 0, -3, -4],\n [6, 5, 7, -7, 1],\n [-4, 6, -6, -6, 7],\n [-10, -6, -10, -8, -10],\n [-8, 8, 5, -4, -7],\n [-5, -4, -4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-4, 6, 0, 0, -2],\n [6, -8, 3, 9, -6],\n [7, 0, -3, 10, -5],\n [0, 1, -1, 8, -4]]\nB =\n[[8, 2, -8, -1, -6],\n [0, 1, 4, -3, 9],\n [8, -6, 7, -10, -8],\n [-4, -7, -8, 6, 8],\n [5, -10, 8, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -8, -2, -10, -7],\n [5, 10, 8, -5, 6],\n [5, -2, 10, -4, 2],\n [-2, 8, 4, 1, 1],\n [-3, 7, -5, 2, 0],\n [6, 2, -5, 10, -6]]\nB =\n[[10, 0, -9, -8, 9],\n [-1, 4, -3, -5, -10],\n [3, -7, 3, 4, -10],\n [10, -2, -10, 1, -3],\n [10, 5, -9, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1655", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 2, 10, -3, 5],\n [5, 4, -5, 9, 6],\n [4, -3, 1, -2, -9],\n [9, -4, 6, -10, -5]]\nB =\n[[-1, 3, 2, -10, 5],\n [-3, -7, 7, -6, 0],\n [4, -6, -7, 7, 7],\n [-8, -1, 1, -7, -2],\n [10, 5, 0, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 1, 6, 3, 6, -2],\n [-1, 7, -6, -10, 1, 10],\n [9, 2, -7, -8, 10, -2],\n [-1, 6, -10, 6, -10, 3],\n [-10, -9, 6, 9, -1, -7],\n [-9, 9, 9, -2, 1, 8]]\nB =\n[[7, -3, -10, 7, -9, 8],\n [1, -2, -3, -9, 9, 7],\n [6, -10, -10, 8, -6, 3],\n [-4, -7, 4, 1, 6, -8],\n [9, -5, -7, 9, -2, -4],\n [-2, 3, 1, -9, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 4, -7, 5, 8],\n [1, 10, 7, 10, 10],\n [-8, 7, 10, -7, 8],\n [3, 3, 4, 8, 2],\n [-1, 9, 10, -1, -2]]\nB =\n[[8, -10, 7, 1],\n [4, 4, 8, -5],\n [-9, 5, -5, -1],\n [-5, 10, 3, -8],\n [-1, 5, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1569", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -3, 0, 10, -10],\n [-4, -3, -1, 4, 0],\n [6, 10, -7, 1, 2],\n [8, -5, 9, -7, 0]]\nB =\n[[1, 2, -4, -7, 7],\n [-2, -1, -1, 2, -9],\n [-6, 2, 8, -10, -1],\n [-5, 5, -7, 1, -8],\n [8, 8, -9, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, -7, 6, 1],\n [-7, 10, -4, 7, -7],\n [-8, -2, 1, 7, 6],\n [-8, -9, 5, 9, -4],\n [7, -5, 1, -9, -9],\n [-2, 5, 4, -9, -9]]\nB =\n[[-1, -6, -8, 9],\n [9, 2, 0, -4],\n [-5, 7, 4, 7],\n [4, 6, -5, -7],\n [-2, -7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 2, 2, -5, 4],\n [1, -3, -9, 7, -5],\n [-3, 2, -3, 10, 7],\n [9, -5, -7, 0, 7],\n [1, -6, -1, 10, -3]]\nB =\n[[7, 3, -2, -1, 7],\n [4, -8, 3, -3, -4],\n [2, -7, 9, 7, 2],\n [-9, 1, 9, -4, -8],\n [0, 8, -10, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 8, -9, 3],\n [1, -10, 3, 6],\n [7, -8, -8, 3],\n [8, -5, -4, 3]]\nB =\n[[-5, 6, -1, -4],\n [7, 4, 4, -5],\n [-10, 10, -9, 9],\n [-10, 7, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 6, -10, 6, -10],\n [-10, -8, -8, 5, 5],\n [-9, 9, -4, 0, 9],\n [2, 3, 4, 9, -7],\n [-2, 2, -4, -9, -5],\n [0, 4, 1, 9, 5]]\nB =\n[[-3, 5, -1, 7, -10],\n [10, -6, -8, 3, -10],\n [1, 6, 8, -10, 4],\n [-7, 8, -10, -1, 1],\n [-4, -8, -4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-502", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -1, 5, 6, 1, 1],\n [1, -1, 4, 1, -2, 2],\n [-7, -4, 4, 8, -5, 2],\n [9, 3, -3, -3, 6, -1]]\nB =\n[[8, -10, 0, 5, -2, -9],\n [7, -7, -6, -5, 3, 5],\n [3, -2, 1, -6, 0, -8],\n [-7, 8, -6, -3, 6, -9],\n [5, 2, 1, 2, -3, -4],\n [1, 8, 3, 6, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -10, -9, -7, 9, -10],\n [8, 7, 6, -8, -3, 9],\n [0, -5, -6, 8, -3, 9],\n [-4, 2, -2, -2, 3, -3],\n [5, -3, -4, -9, -9, -6]]\nB =\n[[2, 2, -2, 7],\n [-10, -3, 8, 2],\n [-9, -10, 5, 7],\n [10, 6, 7, -8],\n [-3, 8, 10, 6],\n [3, -4, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, -8, 10, 0, -4],\n [4, -8, -1, 4, -3, -4],\n [-5, -4, 2, -7, 3, 10],\n [-6, 0, -9, -1, -2, -7],\n [5, 10, 4, -5, -6, 3],\n [-1, -8, 4, -8, -10, 10]]\nB =\n[[5, 9, -8, 2, 5, -5],\n [3, -5, -1, -3, -4, -8],\n [-1, 9, -1, -1, -7, 7],\n [5, -9, 7, -7, -6, -10],\n [-3, -9, 1, 0, 10, -2],\n [-1, 10, 5, -10, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -6, -8, 3, 6, 8],\n [-6, 9, 8, -5, 1, 5],\n [0, -10, -5, 2, 7, -1],\n [-5, -5, 6, 7, 9, -4],\n [-5, 1, -2, -2, -10, 5],\n [-4, 7, -3, 1, 5, -9]]\nB =\n[[7, -8, 10, 6, 9, 2],\n [2, 7, 6, -3, -2, -5],\n [2, -10, 1, 1, 1, 2],\n [7, 2, 8, -3, -3, 0],\n [-1, -9, 9, -7, -5, 4],\n [7, 7, 5, 8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-548", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 9, 9, -7, 2],\n [-4, 4, 5, -9, 5],\n [-5, 2, 9, 10, -10],\n [7, 3, -6, -4, 6],\n [6, -5, -10, 10, -3],\n [-5, 3, 2, 3, 8]]\nB =\n[[-10, -3, 1, 1],\n [9, -6, 2, -9],\n [-8, -8, 9, -1],\n [-8, 5, 0, -9],\n [2, 0, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[2, 10, 6, -10],\n [-4, 6, 6, 2],\n [-5, 3, 5, 3],\n [5, -2, 10, -7],\n [8, -3, 3, -2],\n [7, -10, -5, 9]]\nB =\n[[6, 8, 7, 5, 5, 9],\n [-2, 0, -5, -3, 3, -4],\n [5, 1, -5, -8, 4, -6],\n [-3, 6, 1, 8, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 0, 6, -8, -7],\n [5, 0, -8, 5, -10],\n [7, -5, 3, -10, -2],\n [4, 8, 1, -6, -10],\n [-4, -8, 5, 3, 7],\n [-5, -7, 4, 4, -7]]\nB =\n[[6, 9, -3, -9, -8, 8],\n [2, 1, 3, 10, -5, 5],\n [-6, 3, -9, 3, 5, 6],\n [10, -5, -10, 1, 0, 4],\n [0, 10, 6, -6, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-4, 3, 7, -9, 7, -2],\n [0, 4, 0, -6, -4, -6],\n [8, 0, -4, -6, -4, -1],\n [-5, -4, 6, -2, -8, 9],\n [1, -1, 2, 10, -9, -3],\n [0, 1, -6, -4, 4, 7]]\nB =\n[[-8, 7, -6, 2],\n [2, -3, 4, -2],\n [4, -2, 4, -10],\n [-4, 4, 3, 1],\n [-9, -2, 0, -5],\n [1, 6, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, -3, 8, 6, 2],\n [-1, 1, -1, -6, 8, 3],\n [7, -8, -9, 5, 5, -10],\n [9, 0, 6, 5, 5, 4],\n [-3, -6, 5, -3, 5, 4],\n [-7, -1, 6, 0, 6, -2]]\nB =\n[[6, 10, 2, -1, 2, 1],\n [-7, 5, -6, 1, 4, 10],\n [4, -2, -3, 3, 4, 8],\n [-6, 3, -4, 8, -4, 6],\n [10, 0, 0, -2, -5, -6],\n [8, 8, -6, -3, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 8, 9, -3],\n [-4, -10, -2, 1, 0],\n [2, 6, -3, -6, 4],\n [4, -3, 4, 0, -7],\n [9, 6, 7, 5, 0],\n [9, -4, 4, 10, -10]]\nB =\n[[-2, -3, -7, 7],\n [-7, -2, -3, 0],\n [-10, 6, 6, -8],\n [3, 10, 1, -2],\n [5, 2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 7, 5, 8],\n [1, -10, 4, -1],\n [-6, 5, 2, -4],\n [-4, -10, -3, -5]]\nB =\n[[-7, 10, -10, 3, 5],\n [4, 2, 4, 9, 6],\n [4, 6, 1, 6, -8],\n [6, -1, -6, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 0, -3, 0, 6, 1],\n [-2, -9, -10, -5, -8, 4],\n [1, -7, -1, -9, -5, 2],\n [-6, -6, 10, 8, -6, -9]]\nB =\n[[10, 1, 8, 0, -7],\n [-8, -9, -1, -4, 7],\n [6, -10, -8, -3, 7],\n [6, -8, -10, -4, -8],\n [8, -10, 10, 8, -2],\n [-9, -2, 1, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 4, -3, -5],\n [5, -8, 0, -9],\n [-7, 4, 5, -2],\n [-7, -2, 0, 3],\n [3, 1, -7, 10],\n [7, 3, 4, 3]]\nB =\n[[4, 3, 1, -5, 7],\n [-5, 7, 4, 0, 2],\n [-9, -2, 9, -1, -8],\n [-1, -4, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[5, 0, 10, 7, -10, 1],\n [5, 3, -2, 4, 0, -6],\n [-2, 1, 2, 4, 5, -7],\n [7, -1, -8, 9, 6, -7]]\nB =\n[[-9, -10, -6, -4, -9],\n [-1, -10, -10, -3, -8],\n [-3, -6, 0, 2, -5],\n [3, 2, 10, -10, -1],\n [3, -4, 3, -8, -7],\n [6, -8, 1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 6) of the product matrix AB given:\nA =\n[[6, -5, 0, -3, 2],\n [-7, -4, -7, 0, 8],\n [-10, 4, 6, 5, -9],\n [-6, 4, -8, 5, -8],\n [9, 1, -7, 4, 4],\n [-2, 3, 8, -2, 0]]\nB =\n[[6, -3, -1, 8, -8, 8],\n [-6, 10, -4, 2, 10, -4],\n [-4, 8, 3, -4, -3, 6],\n [1, 0, 5, -8, -6, 0],\n [6, -9, 0, 1, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 0, 7, 10],\n [-5, -4, 2, 3],\n [-4, 9, 5, -2],\n [-4, 8, 8, -3]]\nB =\n[[-6, -8, -2, -7, -9, 2],\n [-10, -5, -6, 2, -8, 6],\n [-6, -3, 2, 0, -7, -4],\n [-6, -6, 0, 6, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 0, -1, 2, -10],\n [3, 0, 1, 4, -5],\n [5, 1, 6, -4, -1],\n [-1, -4, 8, 6, 5],\n [5, -5, -8, 1, -6],\n [10, -10, 5, -2, 7]]\nB =\n[[7, -9, -4, -9, -4],\n [-9, -1, -8, 4, 4],\n [-7, -6, -6, -4, 5],\n [-10, 4, -6, -2, -9],\n [3, 10, -8, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-862", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-2, -3, -10, 0, 8, -10],\n [-9, 4, 10, 6, 3, 4],\n [4, 5, 0, 0, 3, -1],\n [5, 10, 1, -4, -3, 5]]\nB =\n[[9, -2, 2, -7, -8],\n [-2, 8, 3, -3, 0],\n [0, 6, -1, 6, -3],\n [-7, -3, 9, -8, -7],\n [-7, 8, -10, 7, -10],\n [-3, -2, -3, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[4, 2, -9, 8, -8],\n [7, 6, 5, 1, -4],\n [2, -5, 4, 3, -9],\n [-3, -6, 2, -1, 9],\n [-6, -1, -7, -2, -4],\n [-4, 9, -1, 4, 0]]\nB =\n[[-3, -6, -5, 5, 4],\n [2, 5, 2, -4, -1],\n [6, 0, 10, -10, -2],\n [8, -6, 10, 4, 1],\n [-6, 3, 0, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 2, -4, 1, 6, -7],\n [-2, 9, 6, 8, -1, 9],\n [-2, 0, -5, -10, -3, 3],\n [-5, 7, -7, 1, 8, 4],\n [-4, -7, 3, 3, -3, 8]]\nB =\n[[-3, -10, -5, 5],\n [5, -5, -1, -8],\n [6, 0, -4, -1],\n [7, 3, 4, -10],\n [3, 8, 8, -3],\n [4, 4, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 2, 8],\n [0, -1, 10, 10],\n [-2, -8, -1, 0],\n [3, 1, -3, -2]]\nB =\n[[-8, 5, -1, -10, -3, 4],\n [4, -3, -8, 8, 1, -6],\n [-3, -10, 6, 9, 5, -9],\n [-5, -1, 2, 9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -2, 9, 0, -2],\n [9, -7, -9, -4, 2],\n [4, 1, 7, 2, -5],\n [0, -8, 9, 1, -3],\n [-10, 3, 4, -6, -6]]\nB =\n[[6, -8, 9, 6, -2],\n [-9, 8, -3, -2, -6],\n [2, 0, 5, -2, 2],\n [3, 2, -4, 2, 1],\n [-8, 4, -9, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-1, -8, -1, -1],\n [-9, 10, 6, 3],\n [-8, 9, -2, -4],\n [-4, 7, 7, -5],\n [-7, 6, 0, 3],\n [0, -9, 10, -1]]\nB =\n[[10, -8, -2, 9],\n [10, -2, 8, -7],\n [8, 9, 2, -6],\n [-6, -8, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[5, -8, 2, 9],\n [6, 6, 5, -3],\n [1, 9, 8, 3],\n [1, 5, -6, -5]]\nB =\n[[9, 8, 1, 8, -10],\n [2, 4, 4, -5, 7],\n [7, -2, -10, 5, 0],\n [-4, 6, -3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 9, -9, -2, 3],\n [-2, -6, 2, 6, 3],\n [-9, 4, -8, -10, 4],\n [9, 10, 9, -7, 4],\n [-3, -5, -10, 4, 0]]\nB =\n[[-6, -8, 3, 4, 3],\n [-2, 6, 1, 0, 2],\n [-8, 8, -1, -9, 5],\n [10, 8, 10, -8, 5],\n [3, -2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1561", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 4, -3, 7],\n [-6, 1, 3, -8],\n [7, -1, -10, 8],\n [-7, -6, -6, -1],\n [-5, -2, -4, 8],\n [-4, 1, -7, -9]]\nB =\n[[3, -4, -3, 3, -1],\n [-5, -7, -4, 0, -8],\n [-7, 2, 9, 3, 3],\n [0, 3, 10, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1193", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -1, -4, -8, -10, -3],\n [-3, -1, 8, -9, 1, 1],\n [1, 6, 4, 1, -7, 3],\n [8, -2, 8, 10, -2, 5],\n [5, 1, 7, 3, 5, 3],\n [-1, 10, -10, -5, 7, 0]]\nB =\n[[-3, 1, -3, 10, 7, -9],\n [-4, 3, -4, 10, -6, -9],\n [2, 9, -7, -8, -5, -9],\n [-1, 8, 0, -5, -9, -9],\n [-3, 1, 6, 5, 8, 6],\n [-7, -4, 3, -10, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-5, -9, 8, -2],\n [-1, -1, -2, 3],\n [7, -9, 4, -3],\n [-10, 7, -9, -2],\n [-9, 5, -6, -4],\n [-3, -9, 10, 2]]\nB =\n[[-6, 4, -3, 5, 0],\n [8, 6, 5, 4, 6],\n [6, -2, 5, 8, 2],\n [-1, -4, 5, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -2, 3, 7, 10],\n [1, -6, -2, 10, 0],\n [1, -9, -10, 5, 4],\n [-1, 4, -3, -4, 0]]\nB =\n[[-5, 3, 9, 4, -7],\n [-4, 10, -6, 5, 8],\n [-5, -5, 7, -7, -8],\n [-9, -1, -8, -10, -2],\n [-1, 2, 10, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-489", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -6, 10, -7, -4],\n [8, 1, -6, -10, 10],\n [10, -4, 7, -1, -8],\n [3, -6, 8, -8, -9],\n [5, 1, -8, 4, -6]]\nB =\n[[-1, 9, -6, 1, 3],\n [4, -4, 9, 9, 0],\n [-7, -1, -4, 10, 4],\n [3, 2, 6, -9, 1],\n [8, 1, 7, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -1, 7, -8],\n [5, 1, 2, 6],\n [-3, 7, 8, 6],\n [-4, -9, 4, -6]]\nB =\n[[-3, -10, -4, -1, -3],\n [-7, 2, 5, -1, -5],\n [9, 4, 5, -3, -3],\n [-8, 5, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "929", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 3, 0, 9, -4, 2],\n [-9, 5, 5, -3, 6, -7],\n [-9, 3, -9, 10, -6, -7],\n [6, -4, 3, -3, -8, 4],\n [1, -2, -1, -6, 1, -1],\n [-7, 10, 0, 0, 2, -8]]\nB =\n[[-8, -2, -8, -7, -1, 1],\n [-7, 10, -4, 10, 8, 7],\n [6, 2, 6, -8, -9, 9],\n [-3, -10, 7, 1, -9, 6],\n [3, -9, -6, -2, -9, -5],\n [-8, -6, 8, -1, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 3, -3, 4, 8],\n [10, 4, 10, -3, 8],\n [1, -9, -10, -2, 3],\n [6, 1, 2, 6, 5]]\nB =\n[[-10, 6, -10, 0, 8, 4],\n [-4, 8, -8, 10, 8, 9],\n [10, -7, -7, -8, 4, -6],\n [-9, -7, 0, -2, 1, 7],\n [7, 3, -9, 3, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, -9, -9, 10, 8],\n [7, 9, -5, 4, -2],\n [-2, 5, -5, -10, -6],\n [-4, -8, -2, 3, 0],\n [-8, 10, 10, -3, 6]]\nB =\n[[-4, -3, -8, -5, -2],\n [4, 9, 6, 4, 10],\n [-1, -8, 10, -1, -10],\n [6, 6, -8, -6, 3],\n [10, -4, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -4, -10, 1, -10],\n [-7, -10, 10, 2, 1],\n [-7, 5, -4, 10, 9],\n [-10, 10, 4, 2, 0]]\nB =\n[[9, -3, 10, -7],\n [-10, -6, 10, -8],\n [-9, -2, -6, 10],\n [2, 0, -6, -9],\n [2, 6, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-425", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 2, 8, 6, -9, 5],\n [-7, -10, -3, 9, 1, 1],\n [2, 7, -4, 0, 9, 7],\n [9, 3, -1, 5, 0, 3],\n [8, 7, 0, 9, 5, -5]]\nB =\n[[6, 4, 10, 1, -6],\n [2, -6, -7, -10, 6],\n [4, -6, -6, -7, -7],\n [10, -7, 6, -2, -6],\n [6, 6, 5, -7, -5],\n [-3, 6, -5, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1732", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, -10, 7],\n [3, 3, -9, 4],\n [3, -8, 5, 0],\n [-6, -2, 3, -1]]\nB =\n[[9, 3, -5, -8, -1],\n [5, -1, 0, 9, 6],\n [-8, -2, 7, -8, -8],\n [9, 9, -2, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 9, 10, -1],\n [-3, -10, 9, 4],\n [5, -10, 7, -10],\n [-8, -4, -10, 10]]\nB =\n[[-2, -7, 3, 5, 9, -7],\n [-6, 0, -1, 4, 9, -6],\n [-7, -1, 4, -5, 7, -10],\n [6, 2, -9, -3, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 2, 1, 3, -7],\n [-6, 10, -4, -1, -1],\n [-2, 4, -1, -10, 1],\n [-2, -7, -5, -3, 9]]\nB =\n[[-9, -2, 5, 10, -6, 10],\n [-7, -5, -8, -7, 3, 9],\n [5, 2, -5, 3, -7, 0],\n [9, 6, -1, -1, 3, -4],\n [-2, 8, 3, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[10, -7, 4, -5, -4, 6],\n [10, 5, 9, -9, 1, -5],\n [8, -3, -8, 0, -8, 2],\n [6, 7, -3, 9, -9, 2]]\nB =\n[[-7, 10, 7, 4],\n [-3, -4, 8, -4],\n [-4, -4, -5, 6],\n [-9, -2, 1, 0],\n [-10, 6, -5, -2],\n [5, 3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 8, -8, -4],\n [5, 1, -7, 0],\n [-1, 3, 2, 2],\n [5, 7, 10, 0]]\nB =\n[[9, 4, -6, 8],\n [-5, -1, 9, 1],\n [2, -2, -6, 8],\n [-2, 9, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -9, -5, 10],\n [-7, 8, -3, -6],\n [5, 4, 9, -5],\n [8, -4, 9, -9]]\nB =\n[[3, 5, 2, -6],\n [-5, -6, 2, 9],\n [-7, -5, 7, -8],\n [-8, 2, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -5, -9, 3, -8, -2],\n [8, 5, 0, 2, 2, 4],\n [-8, -2, 7, -4, -1, -1],\n [-1, 0, -9, 1, 4, 6]]\nB =\n[[-2, 8, 5, -2, 0, -3],\n [-3, -6, 4, -3, 7, 10],\n [-9, -3, -5, 9, 4, -2],\n [-5, -8, -7, 6, -1, 7],\n [1, -5, 10, -7, 8, 9],\n [-7, 1, 6, 7, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[9, -3, 5, 4, -9],\n [-9, -1, 7, -2, -8],\n [7, -10, 5, -2, 0],\n [5, 10, 10, -1, 4],\n [2, 0, 10, -9, 10]]\nB =\n[[-2, 1, 1, -9, -10],\n [1, 7, -5, -5, 9],\n [4, -7, -8, 9, -7],\n [1, -6, -10, -1, -7],\n [-3, -2, 6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-8, -4, 3, -9, 8],\n [5, -9, 10, 8, 3],\n [-4, 10, -2, 7, -3],\n [-1, 4, 9, 10, -4]]\nB =\n[[10, -6, -8, 1, 2],\n [2, -2, 3, 4, -1],\n [-9, 1, 8, -1, 5],\n [-2, -3, -4, -6, -9],\n [5, -10, -1, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -7, 1, 5],\n [8, 10, 7, -5, 0],\n [5, 5, -2, 10, 2],\n [-2, 10, -7, -8, -3]]\nB =\n[[3, -9, -6, -3],\n [2, -2, 0, 5],\n [6, -2, 3, -1],\n [5, -5, 1, 9],\n [7, 5, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -3, -9, -10, 2],\n [-3, 2, 0, -8, 1],\n [8, -5, -5, 10, 5],\n [-1, 3, -5, -3, 1],\n [6, -8, 8, -10, -5]]\nB =\n[[9, 7, 8, -7],\n [-6, 2, 5, 0],\n [-3, 10, 0, 5],\n [5, 5, -2, -7],\n [-9, 0, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, -9, -5],\n [10, 10, -6, 10],\n [4, 7, 0, 6],\n [-6, -5, -6, -8]]\nB =\n[[-9, -4, 4, -8, -9],\n [4, -5, -5, -9, -2],\n [4, 0, -7, 3, 10],\n [1, 4, -6, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1183", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, -3, 2],\n [-3, 7, -1, -3],\n [-5, -6, -7, 7],\n [6, 6, -9, 4]]\nB =\n[[10, 0, 10, -8, 5],\n [-6, 1, -5, -8, -5],\n [4, 10, 2, 3, 1],\n [8, 2, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 3, -10],\n [9, 5, -4, -10],\n [0, 4, -9, 1],\n [2, 7, -9, 2]]\nB =\n[[6, -7, -4, 3, 9],\n [-4, -2, -5, -9, 7],\n [-8, 10, 1, 0, -6],\n [-1, -6, -1, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1230", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 8, -4, -5, 8, -9],\n [6, -10, -2, -3, 0, 8],\n [-8, 4, 0, -10, -2, -6],\n [4, -5, -9, 2, 0, -10],\n [-10, 2, -4, -8, 1, -2]]\nB =\n[[5, -9, -3, 7, 7, 2],\n [9, 10, 0, 0, -3, 3],\n [-10, -1, -9, -6, 1, 8],\n [4, -5, 6, 10, 1, 6],\n [-4, -8, 10, 8, -2, -9],\n [-10, 2, 7, -10, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -8, 3, 5],\n [4, -9, 9, -7],\n [4, -10, 5, -6],\n [4, -10, 0, -2],\n [9, 8, 5, 0]]\nB =\n[[-4, -10, -5, -10, -2],\n [-3, -3, 7, 0, 10],\n [-7, 2, 7, 1, -2],\n [-10, -6, -8, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-455", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -3, 1, -10, 8, -9],\n [-6, -7, 8, 2, 8, 2],\n [9, -8, 9, 0, -4, -5],\n [9, -9, -6, -5, -8, 4],\n [9, 9, -10, -1, -10, -8],\n [-2, -6, -4, 7, 5, 10]]\nB =\n[[-8, -6, -9, -9, -7, -2],\n [2, 4, -3, -3, -8, -5],\n [4, 8, -5, -8, 9, -3],\n [9, 3, -10, 9, 7, 9],\n [-7, -6, 0, 10, 3, 7],\n [10, 1, 1, -7, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-974", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -7, -7, 1, 7],\n [6, 0, 6, -7, 6],\n [-10, -5, -3, -1, -5],\n [-10, -8, 3, -6, 3]]\nB =\n[[-8, -5, -9, 1, 0, -9],\n [6, 1, 10, -2, 9, 2],\n [3, -1, 10, 0, -1, 10],\n [10, -4, 4, 6, 5, 4],\n [0, 4, -3, 6, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-353", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, -1, -9, 10],\n [1, -9, 2, 8, -2],\n [-1, 3, -5, -6, -1],\n [-9, 6, 6, 10, 7],\n [-8, -10, -10, -8, -6],\n [-3, 5, -10, 9, -7]]\nB =\n[[10, 1, -4, 7],\n [3, 1, -4, 1],\n [7, -7, -4, 1],\n [-1, 3, 10, 9],\n [8, 8, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, -9, 9, -8, -4],\n [-5, -3, 6, -8, -10, 6],\n [-4, 0, -9, 8, -1, 1],\n [5, 4, 6, -7, -1, 3],\n [6, 0, 9, 6, 7, 2],\n [-9, 4, 3, 0, -5, 9]]\nB =\n[[10, 4, -3, -4, -8, 2],\n [9, -9, -3, 3, -6, 4],\n [9, 7, -3, -5, -2, -5],\n [-3, 2, -4, -2, 9, 7],\n [-3, 0, 7, -9, -7, 0],\n [9, 3, -10, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, -8, -2, 9],\n [9, 1, 5, 9],\n [-5, 5, 5, 1],\n [8, -8, -7, 9],\n [-3, 8, -6, 2],\n [2, -9, -2, 4]]\nB =\n[[-4, -5, 3, 7],\n [10, -4, -5, -5],\n [-5, -7, -5, 1],\n [0, -6, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-7, 10, 5, -7],\n [1, -6, -1, -8],\n [-8, -6, -7, 8],\n [-10, 7, -8, -5],\n [-2, 1, -6, 2],\n [4, -2, -2, -2]]\nB =\n[[-8, 9, 9, 0, -9, 1],\n [-1, 8, 1, -4, -4, -10],\n [1, -6, 6, -1, -5, 2],\n [7, -2, -7, -9, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -4, -1, -7],\n [9, 3, 7, -8, -2],\n [10, 0, 10, -1, 1],\n [-8, 6, 2, 2, 7],\n [-9, -3, -7, -9, -8],\n [-1, -5, 9, 4, -3]]\nB =\n[[-2, 0, 3, 8, 2, 4],\n [2, 3, 1, 5, 7, -6],\n [-9, 8, 3, -4, 2, -9],\n [10, 0, -7, 0, 8, -8],\n [10, 7, -8, 8, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, 7, 2],\n [7, -2, 9, 5],\n [-5, -2, 5, 0],\n [7, 7, -5, 4],\n [10, 1, 7, 6],\n [-8, -1, -2, -5]]\nB =\n[[-3, 8, -3, 2],\n [-6, -10, -1, -8],\n [-1, 3, -8, -10],\n [-6, 1, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-451", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[1, -1, -3, 8, -10, 2],\n [7, 9, 5, -1, -8, 9],\n [-9, 10, 1, 1, -1, -7],\n [4, -10, -7, 6, -4, 7]]\nB =\n[[10, 6, 7, 6, -9, -7],\n [-7, -8, 6, 10, 0, -4],\n [3, 0, -6, -3, 9, -3],\n [8, 5, 7, -4, -7, -10],\n [10, -5, 7, -6, 9, -2],\n [-5, 6, 10, 10, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -2, -3, 7, -10],\n [-1, 10, 6, 5, -4],\n [-7, -7, -1, 0, -5],\n [-6, 6, 6, 6, -10],\n [-6, -8, 1, -8, -4]]\nB =\n[[8, 4, 5, -4, 1, 1],\n [7, -9, 4, 0, -3, 2],\n [-10, 9, -4, 0, 8, -1],\n [-5, -6, 3, -9, -6, 7],\n [7, 4, -1, 4, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 6, -2, 6],\n [-8, -8, -5, 3],\n [-7, -8, 0, 2],\n [2, 1, 4, 7],\n [-3, 8, -3, 9]]\nB =\n[[-6, 7, 2, -8],\n [8, 0, 1, -10],\n [9, 9, 2, 0],\n [4, 5, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[6, 3, -1, -3],\n [-1, -7, -7, -2],\n [9, 7, 2, -3],\n [-10, -1, -4, -2],\n [6, 6, 4, -5],\n [2, 1, -2, 4]]\nB =\n[[3, 4, -4, 6],\n [3, 3, -3, -5],\n [-1, 2, 6, 0],\n [9, 0, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -10, -10, 8, 2, 10],\n [10, 5, 6, -6, 2, 3],\n [9, 8, 5, 10, 1, 3],\n [-4, 2, -9, -6, 4, 9],\n [4, -4, 3, 3, 7, 1]]\nB =\n[[7, 10, -7, 10, 10],\n [8, -3, 8, -9, -9],\n [10, 2, 3, -1, 8],\n [-6, -2, -3, 6, 9],\n [-4, 8, 3, 5, 5],\n [6, 6, 10, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -2, -10, -1, 1, 9],\n [8, -9, -6, -3, 0, 3],\n [0, 6, 6, 6, 10, -9],\n [0, 2, -6, -10, 6, -9]]\nB =\n[[-10, 3, -7, 5, 5, -6],\n [5, 4, -1, 5, 9, 7],\n [10, -8, 10, 10, 5, 7],\n [-8, 8, 10, -7, -1, 1],\n [6, 2, 3, -9, -10, 0],\n [-1, 4, 4, 7, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-955", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -2, 3, -1, 7, 0],\n [10, 10, 3, -2, 1, -7],\n [7, 4, -8, -10, 4, -4],\n [-1, -2, -4, 4, 5, 7],\n [-4, -2, -8, -8, 9, 0]]\nB =\n[[4, -9, 8, -5, 6],\n [-1, 4, 3, 2, 6],\n [7, 7, -6, -10, 7],\n [-9, -1, -7, -8, 1],\n [-3, 4, -3, 10, 7],\n [10, -9, 7, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "892", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 8, -6],\n [-10, 5, -6, -5],\n [-6, -7, -8, 9],\n [1, -2, 2, 9],\n [-4, -7, 2, 5],\n [2, -1, 2, 7]]\nB =\n[[8, -7, -8, 2],\n [8, -6, 5, -7],\n [-7, 5, 4, -10],\n [-4, -7, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-413", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -1, -9, -9],\n [-2, 2, -2, -9],\n [-4, -2, 6, 9],\n [9, 4, -6, -7]]\nB =\n[[10, 4, 4, 3],\n [2, -1, -9, -8],\n [-7, 10, 4, 8],\n [0, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-480", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -10, 3, -5, 10, -6],\n [-8, -1, 9, 6, 8, 9],\n [-7, -9, 8, -8, -8, -2],\n [2, -9, 5, -9, -5, 7],\n [0, -7, 10, -3, 0, 4],\n [9, 7, -2, 5, 0, 10]]\nB =\n[[-4, 1, 3, 9, 3],\n [-9, 3, 1, -9, -7],\n [9, -8, -9, 5, 10],\n [-8, -4, 1, -8, 1],\n [-1, 0, 10, 0, -1],\n [6, 0, 3, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, 3, 4],\n [4, 10, -1, -8],\n [0, -10, 5, -4],\n [7, -3, -5, 8]]\nB =\n[[9, -5, 1, 8, -4, -9],\n [8, 9, 6, 2, 6, -1],\n [-2, -3, 0, -4, -7, -3],\n [9, -9, 1, 6, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1590", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 6, 1, 0],\n [-7, -4, -9, 8, -8],\n [5, 8, -1, -4, 6],\n [-9, -6, -9, -10, 5],\n [-8, -10, -7, 9, -3],\n [-6, 8, -6, 4, -1]]\nB =\n[[6, -1, -5, -2],\n [4, 10, 4, 5],\n [3, -1, 6, -7],\n [-5, -9, 3, -9],\n [7, -5, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 9, 9, 8, 9, 10],\n [-8, -7, -8, -10, -6, -9],\n [-1, 3, -8, 6, -10, 1],\n [10, -4, -7, 1, -3, 4],\n [2, 6, 2, 4, -2, 5],\n [2, -1, -4, 2, -4, -1]]\nB =\n[[-5, -4, -2, -6],\n [-10, -5, -5, -3],\n [-6, -5, 0, 7],\n [-7, 8, -3, -9],\n [0, -9, 1, -6],\n [6, -8, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1851", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 1, 1, -10],\n [-9, 10, -7, -6],\n [-9, -2, -3, 1],\n [9, -1, 2, 1],\n [-2, -9, -8, 5]]\nB =\n[[9, 10, 5, -7],\n [-1, 4, -9, 10],\n [-4, -2, 4, -1],\n [-8, 2, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1122", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -6, -2, 1, 0, 9],\n [8, 4, 8, 2, -9, -6],\n [2, -2, 1, 1, -8, 4],\n [8, 5, 2, -9, -4, 7],\n [6, -8, -10, -2, -3, -2]]\nB =\n[[0, -9, 5, 0, -2],\n [4, 1, 5, 5, 10],\n [-8, -1, -6, 0, -6],\n [-5, 2, -9, -2, -10],\n [-5, -8, 6, 5, -9],\n [-1, -2, -10, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-7, -3, -3, 2],\n [3, -3, -8, 0],\n [-2, -6, -2, -9],\n [1, -5, 4, 3],\n [-9, 0, -6, -1]]\nB =\n[[-5, -9, -8, 2, 5],\n [-9, 7, 0, -6, 4],\n [2, 4, 4, 3, 4],\n [-2, 1, -7, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[1, 8, -10, 6],\n [-2, -6, 3, -1],\n [-9, -8, 6, -9],\n [-3, -7, -8, -9]]\nB =\n[[2, 9, 2, 1],\n [5, -2, 5, -8],\n [10, 3, -6, -10],\n [10, 3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, 8, 9, -7, 7],\n [-3, 2, 8, 1, -9, 8],\n [-8, 1, -2, -8, -9, -5],\n [-7, -7, -1, 10, 1, 2],\n [-5, -8, 9, 9, 8, -8]]\nB =\n[[-3, -7, -2, 6],\n [3, 10, 10, 6],\n [0, 1, -2, -9],\n [4, 2, -5, -7],\n [0, 3, 5, -8],\n [-7, -7, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1433", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, 10, 4, 0, 10, -9],\n [-3, 3, -3, -2, -6, -9],\n [-10, 9, -2, 9, -6, -6],\n [-7, -5, -6, 6, 3, -7],\n [9, 5, 6, -10, 6, 5],\n [0, 0, 5, 5, -2, -6]]\nB =\n[[6, -1, -2, 8],\n [7, 1, -7, -7],\n [-10, 10, -2, -7],\n [-8, -2, 8, -6],\n [-6, 3, 1, 8],\n [2, 7, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, -6, 6, -7, 8],\n [7, 8, 6, 6, -4, 8],\n [0, -6, -2, 5, -5, 5],\n [-10, 7, -8, -7, -3, 6],\n [8, -6, -9, 10, 5, -6]]\nB =\n[[-6, 3, 1, 4, -9],\n [-7, 4, 7, 0, -4],\n [0, -2, -1, -4, -8],\n [10, 4, 7, 6, 7],\n [-4, -10, 8, -10, 2],\n [2, -1, -5, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, -9, 8, -2, 3],\n [-1, 0, -2, 9, -6, 9],\n [3, -10, 7, 10, 8, -5],\n [2, 4, -10, -6, -5, -8]]\nB =\n[[4, -1, 5, -2, -9],\n [9, -8, 9, 4, -3],\n [5, -6, 1, -8, 1],\n [3, -8, 0, -9, 9],\n [-4, 3, -5, -10, -6],\n [-4, -8, -8, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, -10, 8],\n [-8, -6, 0, 6],\n [10, -10, -3, 1],\n [-10, -7, -7, 0],\n [5, 6, -9, 5],\n [-3, -8, 6, 8]]\nB =\n[[10, 5, 6, 3],\n [8, 1, -2, 0],\n [5, 2, 9, 10],\n [8, -1, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1391", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-3, -2, 7, -9, -10],\n [4, 4, 5, 6, 0],\n [7, 5, 4, -1, 6],\n [-4, -8, 6, -2, -8],\n [-1, -5, 8, -3, -4],\n [-7, -5, 10, 9, -4]]\nB =\n[[-6, -2, -2, 6, 0],\n [1, 2, -5, 3, 1],\n [-6, -10, 6, 1, -4],\n [-3, 5, -6, -1, -7],\n [9, -5, -4, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -6, 0, 7, 6, -9],\n [-1, -10, 2, 5, 10, -4],\n [-5, -10, -6, 2, -2, 0],\n [4, 6, -5, 4, -2, 2]]\nB =\n[[5, 10, 10, -8, -6],\n [-2, 5, -1, 8, 1],\n [3, 10, -2, 4, -5],\n [-7, 2, 7, 0, 9],\n [-1, -7, -5, 9, 8],\n [7, 3, 8, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 5, -9, 7, 7],\n [6, 2, 10, -6, 3],\n [1, -2, 10, 4, -1],\n [-8, 6, -5, -10, -8],\n [7, -2, -8, 3, 0]]\nB =\n[[3, -9, -1, 4],\n [-9, 9, -9, -10],\n [-9, 9, -5, 8],\n [7, 1, 2, 5],\n [7, 9, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 6, -4, 10, -6, 2],\n [-2, -5, -1, 8, 2, 9],\n [1, 9, 6, 4, 2, 8],\n [8, 8, -9, 10, 6, 10],\n [9, 4, 8, -9, 8, 6],\n [1, -9, -8, -10, 9, -10]]\nB =\n[[-7, -3, -2, 7, 2, 3],\n [9, -4, 8, 4, 5, 2],\n [10, -9, -10, -8, -2, 1],\n [-10, 8, 5, -4, -4, 2],\n [3, -6, 1, 10, 0, -2],\n [2, 2, 6, -3, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 2, -5, 3, 0, -8],\n [-4, -10, 3, -6, 9, 3],\n [-2, -4, 7, -8, 10, 3],\n [10, 5, -1, -4, -2, -9]]\nB =\n[[7, 7, -1, 2, -2, 5],\n [-3, -2, -5, -5, 1, 6],\n [10, -1, 10, -6, 6, 4],\n [8, 1, -10, 7, 5, -3],\n [-1, -5, 9, -3, 9, -6],\n [-6, 2, 3, -10, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, 6, -4, -10, -1],\n [10, 5, -5, 1, 7, -2],\n [-9, 9, -5, -8, -6, 9],\n [10, 5, -7, 9, -2, -1],\n [4, 5, 8, -7, -4, -3]]\nB =\n[[5, 0, 5, -10],\n [-3, 0, -9, 0],\n [-2, -10, -2, 0],\n [7, -9, -8, -6],\n [7, -7, -1, -8],\n [5, 5, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, 9, 5, 0],\n [-3, -8, 7, 0],\n [7, -4, -8, -6],\n [-7, -9, -5, 2],\n [-6, 6, -2, -8]]\nB =\n[[7, 4, -5, 8, -9, -8],\n [-10, 10, 2, 6, -8, 1],\n [-10, 5, -2, 10, -2, 9],\n [-3, 1, -3, 7, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, -7, 1, 9],\n [10, 10, -4, -2],\n [-5, 1, -10, 8],\n [5, -10, 1, -2],\n [-3, -10, 10, -3],\n [-6, 3, -2, -10]]\nB =\n[[0, -6, -9, 7, 6],\n [2, -8, 5, 4, -7],\n [8, -3, 7, 3, -8],\n [2, 0, 9, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 3, -8, -1, -4],\n [-7, -10, 8, 2, 2],\n [7, -8, 9, -4, 10],\n [10, 9, 1, 5, 6],\n [-4, -5, -5, 7, 0],\n [5, 7, -8, 8, 5]]\nB =\n[[0, -8, -3, 10, 2],\n [0, 1, -7, 5, 10],\n [9, 10, -4, -7, 0],\n [6, -4, -10, 4, 8],\n [9, -4, -6, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -1, -8, -2, 8, 2],\n [0, -1, 8, -10, -9, 10],\n [-7, -2, -10, -1, 0, 1],\n [8, 3, 0, -6, 9, 7],\n [-5, -3, 5, 4, -2, 4]]\nB =\n[[-5, 7, 0, -4, -9],\n [2, 2, 7, 4, -2],\n [3, -5, -9, -7, 1],\n [-10, -8, 1, 9, -1],\n [-1, 8, -2, -6, 9],\n [0, -4, 8, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1679", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 10, 6, 6, -3],\n [7, 2, -9, 9, 1, 7],\n [-3, 1, 9, -8, 2, -7],\n [-3, 4, -3, -2, -6, 8],\n [-1, -2, -9, 7, -4, -8]]\nB =\n[[3, -3, -8, -8, 4, -10],\n [6, -5, -2, -1, -8, 4],\n [0, 5, -3, 4, -3, 3],\n [-3, -1, -3, 5, -10, 2],\n [-1, 3, 10, -8, -1, -5],\n [-10, -1, 2, 8, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, 4, -3],\n [2, 10, 6, -7],\n [-3, -5, -6, -3],\n [-6, -3, -7, 1],\n [0, 4, 0, 8]]\nB =\n[[-5, 8, -10, 5, -7, -3],\n [-1, -8, 7, 7, -8, 1],\n [-7, -3, 4, -2, 6, -1],\n [9, -4, -3, -8, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1459", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, -1, -5],\n [-9, 9, -4, 3],\n [7, -3, 9, -8],\n [10, -8, -10, -5]]\nB =\n[[-1, -10, 9, 5, -1, 6],\n [1, 3, -6, 7, 3, 3],\n [-9, 7, -10, 1, -6, 10],\n [10, 9, 4, 6, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1760", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -7, -3, -6, 7, -7],\n [2, 5, 3, 8, 9, -7],\n [-9, 5, 5, 7, -2, -6],\n [4, -10, -5, -1, -3, -1],\n [5, 5, 10, 4, -10, 4],\n [-4, -8, -6, -4, 5, -1]]\nB =\n[[-5, 2, 5, 9, -8],\n [6, 8, 6, 9, -5],\n [9, 5, 4, -3, 1],\n [-5, 9, -4, -10, -8],\n [-2, 4, -10, 6, 0],\n [2, 4, -5, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2607", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, 2, -10],\n [6, 10, -8, -9],\n [-8, 0, 9, -1],\n [5, -2, -6, 9],\n [-8, -3, -10, 7],\n [-6, -3, -5, 5]]\nB =\n[[1, -1, -5, 6, 9, -6],\n [5, 3, -9, 3, -2, -6],\n [-8, 1, 6, 3, 7, -8],\n [-6, -7, 1, -2, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2503", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -9, -4, -7, 3, 7],\n [3, -6, 1, 9, 0, -9],\n [-2, -9, 4, -6, 10, -10],\n [5, -7, -3, -7, -1, 0],\n [-6, -3, -5, 2, -10, -7]]\nB =\n[[-7, 4, -10, -8, 4],\n [0, -8, -4, 2, -7],\n [7, 0, 4, 5, 3],\n [1, -6, -10, -6, 4],\n [3, 4, 8, 3, -7],\n [-5, -4, -5, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 10, -1, -1, -9],\n [-1, 7, -8, -5, -9],\n [-10, 10, -9, -7, -7],\n [-3, -5, -10, 4, 2]]\nB =\n[[5, -8, 3, -2, 8],\n [-3, 10, -10, 8, 8],\n [-10, -4, -7, 2, -8],\n [9, 1, 1, -2, -5],\n [8, -2, -7, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, -6, 4],\n [-4, -5, 8, -8, -3],\n [-2, -5, 2, -6, 0],\n [-6, 9, -4, 5, -4]]\nB =\n[[-2, 0, 3, 9, 1, 3],\n [8, 0, 10, 7, 8, -10],\n [-3, -4, -8, -1, 8, -8],\n [0, -9, -2, -5, -8, -10],\n [0, 9, -9, 9, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 2, 4, 9],\n [-6, -6, -2, -8],\n [0, 7, 9, 1],\n [5, 4, 7, -10],\n [-10, 3, -5, 9]]\nB =\n[[-9, -7, 1, 0],\n [-6, 3, 6, 2],\n [-5, 8, -5, 6],\n [9, -9, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -6, 10, 5, 10],\n [5, -8, 0, 8, -1],\n [1, 8, 2, 7, -3],\n [-5, 6, 0, 7, 10],\n [8, -8, 5, -4, -8]]\nB =\n[[-10, 1, -6, 7, 0, -9],\n [-4, 0, -5, -6, -5, -10],\n [-5, 9, -3, 2, -8, 7],\n [-7, 6, 6, -9, 6, 4],\n [-6, 10, 9, 9, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[2, -9, 1, 2],\n [-3, 9, -1, -8],\n [4, 8, -3, 10],\n [1, 7, -9, 7],\n [-6, -3, -10, -5],\n [6, -5, -5, -7]]\nB =\n[[2, -8, 5, 10],\n [5, 3, 2, -4],\n [-7, -6, -1, -3],\n [-7, 9, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 1, 5],\n [3, -6, 0, 5],\n [-1, -5, -4, 8],\n [9, 6, 3, 9],\n [5, -2, 5, 1]]\nB =\n[[4, -10, -6, -4],\n [1, 1, 3, -5],\n [-9, 9, -9, -8],\n [3, 4, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, 9, -5, 8],\n [1, -3, 8, 5, -8],\n [-4, -7, 1, -8, -10],\n [-1, 9, 2, -7, 9]]\nB =\n[[3, 0, 0, 6, 1, -5],\n [-10, -7, -8, -1, 10, -4],\n [-1, -2, -8, -8, -3, 9],\n [-3, -6, -6, -3, -5, -9],\n [6, 7, -5, 3, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1586", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[7, 5, 2, 3, 3],\n [3, 5, 7, -5, -6],\n [-10, -3, -2, 10, 8],\n [-1, 10, 1, 7, 1],\n [1, 8, -7, 6, -9]]\nB =\n[[-7, -1, 9, -8, -8, 9],\n [-3, 5, -7, -9, -5, 9],\n [-1, 2, 3, -8, 6, 10],\n [-3, 1, 3, -7, -6, 1],\n [-10, -4, -10, -4, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 8, 6, -8, 6],\n [5, 1, -9, 9, -8],\n [10, -1, 2, 1, 7],\n [1, -4, 2, -10, 4],\n [-10, -3, -1, 8, 9]]\nB =\n[[9, 2, 9, -8],\n [5, -8, -5, 2],\n [7, -5, -2, -3],\n [4, 9, -9, -4],\n [-4, 4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, 7, -1, -8],\n [10, -7, -2, -6, -1],\n [-9, 4, -10, 0, 5],\n [2, -1, -6, 10, 10]]\nB =\n[[-6, -3, 1, 10, -1],\n [-1, 8, -10, -6, 9],\n [-8, 1, 5, -6, -10],\n [7, 10, 6, 1, -8],\n [4, 2, 1, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 8, -6, -6, -9],\n [10, -10, -8, 6, 5],\n [-2, -2, 2, 2, 10],\n [-7, -4, -9, 1, 7],\n [5, 7, -2, -1, -6],\n [0, 8, -1, -4, 5]]\nB =\n[[-8, -7, -7, 9],\n [-1, 0, -7, 2],\n [2, 6, -6, -7],\n [-8, -8, -7, -10],\n [1, -10, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-10, -6, -3, -2, -9],\n [4, 1, 8, -7, 0],\n [-5, -3, -4, 3, 2],\n [-8, 0, 10, 3, 5]]\nB =\n[[-2, 1, 10, 5, -2, 1],\n [-3, 9, -1, 4, -4, -3],\n [0, -2, -2, -4, 2, 9],\n [-6, -1, -4, 1, 6, -8],\n [2, 1, 1, 9, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 2, 8, 10, -1],\n [0, -3, -8, 8, -9],\n [-9, -7, 2, 0, 2],\n [-4, 5, -3, 10, 9],\n [-6, 4, -7, -2, 2]]\nB =\n[[1, -10, -5, -4, 4, 5],\n [2, 0, 10, 5, 1, 10],\n [5, -7, -6, -4, -8, 8],\n [5, 5, -8, -9, 5, -7],\n [4, 4, -6, 9, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[0, -9, -4, -4, -8, -2],\n [10, -2, -7, 10, -2, 9],\n [1, -3, 7, 9, -5, 5],\n [3, -1, -7, 4, 8, -10]]\nB =\n[[-6, 3, -5, 4, 8],\n [1, 3, 6, -3, -3],\n [10, -2, -7, -4, 3],\n [3, -6, -5, 4, -1],\n [5, 3, 3, 5, 3],\n [-9, 9, 9, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -5, -1, -8, -3],\n [-10, -1, 6, -2, -4],\n [10, -10, -4, 5, 9],\n [-9, 7, -10, 3, 7]]\nB =\n[[10, -4, -9, 2, 9, -1],\n [1, 4, 8, 7, -7, -4],\n [1, -7, -9, 8, 10, 4],\n [-10, 4, 6, 6, 7, 3],\n [7, 8, -5, -8, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1926", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -5, 8, -8],\n [5, -5, -3, -8],\n [6, -5, 9, -3],\n [-3, 7, -5, -4],\n [0, -8, -6, 4],\n [2, -2, 2, 6]]\nB =\n[[-1, 6, -4, -4, -5],\n [-8, 10, 3, -10, -4],\n [10, 7, -4, -1, -6],\n [8, 0, 7, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-4, 9, -7, 1],\n [-3, 6, -10, 2],\n [-1, 1, -9, 9],\n [9, -4, 1, -3]]\nB =\n[[-6, -1, 0, -1],\n [0, 4, -5, 2],\n [10, -6, 9, -10],\n [7, -4, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 1, -2, 9, -10],\n [-10, -2, -4, 10, -2],\n [-10, 5, -8, 2, 0],\n [-2, -10, 3, 9, 10],\n [-8, -3, 9, 0, -2]]\nB =\n[[-3, -4, -5, 2, -3, 3],\n [-10, -1, -9, 0, -6, 9],\n [6, -10, 1, 4, 6, -10],\n [4, 1, 0, 2, 7, -4],\n [9, -2, -6, -10, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2255", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -4, 10, 9, -8],\n [-1, 2, 0, 10, -6],\n [3, -2, -4, 1, 7],\n [-6, -10, 2, 10, 4],\n [10, 2, 2, 6, -9],\n [-7, 3, 0, 7, 2]]\nB =\n[[8, -7, 1, 4, -8, 9],\n [2, 9, -7, 0, -5, -10],\n [8, 1, 8, -7, 9, -1],\n [-4, -6, 8, 5, 4, -3],\n [4, 6, -1, 1, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "463", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-1, 10, 1, 7],\n [-8, -6, 2, -6],\n [8, 5, 6, 3],\n [2, -5, 7, -8],\n [-10, 1, 1, -10]]\nB =\n[[8, 4, -2, -6, -6],\n [-9, -7, -1, 8, -5],\n [4, 7, 4, -10, 8],\n [-7, 0, 7, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 8, -4, 6, -3],\n [2, 5, -4, 8, -8],\n [-8, 6, 3, 8, -6],\n [7, -9, -10, -8, -7],\n [6, 1, 10, 1, -5]]\nB =\n[[-3, -3, 3, 5, 1],\n [8, 10, -1, -3, -3],\n [-9, 1, -10, -8, -3],\n [4, 5, -5, -5, 0],\n [8, -1, 8, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1998", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, -4, -6, -2, -7],\n [3, -7, 5, -10, 7],\n [-8, -10, -7, -3, -5],\n [0, 10, -5, 4, -1],\n [-9, -4, -5, -4, 4]]\nB =\n[[-6, -7, -10, 10, 4],\n [-10, -5, 10, -3, -2],\n [-8, -4, 3, 5, 0],\n [3, -4, -8, 2, 0],\n [2, -6, 3, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 1, -10, 0],\n [-8, 6, -8, -6],\n [1, -10, -4, 5],\n [0, 1, 7, -6]]\nB =\n[[9, 7, -5, 3, -6],\n [7, 0, 8, -8, -6],\n [6, -8, 7, 5, -6],\n [-7, -9, -4, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 6, 5, 6, 6, -8],\n [0, -6, 6, -3, -4, -6],\n [-10, 7, -10, 7, -8, 9],\n [-3, -6, -5, 3, 10, 6],\n [7, -10, -3, -9, 7, 6]]\nB =\n[[-10, 6, 7, -6, -2],\n [8, 5, -6, 2, 8],\n [-5, 0, 5, 8, 6],\n [0, -3, -6, -1, 1],\n [5, 4, -10, 5, 8],\n [-2, 5, -2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -1, 10, 10],\n [-10, 7, -3, -1],\n [9, -6, -9, 2],\n [-1, -10, 10, 2]]\nB =\n[[10, -3, 8, -8, 2, 4],\n [4, 2, 6, 9, -8, -8],\n [4, -10, 6, -1, 2, -10],\n [-10, 0, 0, -3, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-577", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, 8, 1, -9],\n [-3, 9, 5, -9, 5],\n [8, -1, 0, -1, -9],\n [0, -1, 9, -7, -1],\n [5, 1, 4, -4, 4],\n [3, -5, -6, -8, 10]]\nB =\n[[-5, 2, 9, 2, 10, 6],\n [8, 9, 1, -2, 9, -3],\n [2, -9, 8, -4, 10, -4],\n [9, 9, -7, 7, 2, 10],\n [4, 8, -8, 3, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 4, 7, 2, 8, -8],\n [-5, -1, 3, -6, 0, -7],\n [-3, 10, -8, -4, -7, -4],\n [-5, 0, 4, 2, 0, -1],\n [-5, -8, -6, -2, 3, 9]]\nB =\n[[3, 1, 5, 1],\n [10, 3, 8, 4],\n [9, 9, 10, -4],\n [-3, -6, 6, -2],\n [-10, 1, 5, -3],\n [-6, -3, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 0, 10, 4, 8, 8],\n [-6, 2, -8, 4, 8, -9],\n [1, -7, 6, 9, -1, 10],\n [-2, -8, -8, 9, 10, -1],\n [-3, 4, 8, 4, -2, -5],\n [-4, -4, -3, -4, 5, -4]]\nB =\n[[7, -6, 0, -6, 7],\n [7, 10, 1, 2, 10],\n [0, -3, 3, 0, -4],\n [0, -4, 9, 9, -10],\n [3, -6, -8, 8, 4],\n [-5, -10, 3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2442", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -6, 4, 10],\n [-4, -8, -9, 1],\n [9, -2, -3, 7],\n [0, 4, -9, -1],\n [4, -1, -3, 8]]\nB =\n[[-6, 2, 3, 1, -1],\n [8, -3, -3, 5, -9],\n [5, 2, 1, 3, 9],\n [-10, -4, 6, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1418", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -10, -7, -8, 8],\n [0, 2, -3, -3, 2],\n [7, -8, -5, 2, 8],\n [6, 3, -1, -1, 3],\n [8, 7, 6, -2, -3]]\nB =\n[[-1, 0, 0, 5, -8, 2],\n [-8, 1, 6, 8, 9, 2],\n [7, 10, 6, -2, 2, -5],\n [-8, 4, 1, -3, 7, 5],\n [-7, -3, 8, 0, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1572", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-9, -5, -2, 2, 8, 10],\n [-8, -7, 7, 1, -3, -2],\n [7, 4, -6, -6, -9, -5],\n [-1, -8, -3, -7, -6, 1],\n [-3, 3, 4, -10, -9, 2]]\nB =\n[[-5, 2, -1, 0, -10, 9],\n [3, 7, -9, 8, -1, 2],\n [-2, -2, -2, 3, 10, 3],\n [-2, 4, -7, 10, -4, -8],\n [-5, 3, -1, -5, 1, -8],\n [3, 9, -5, 0, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -10, -8, -10, 1],\n [9, 2, 2, 5, 4],\n [1, 10, 6, 10, -9],\n [-3, 9, -10, 9, -1],\n [0, -5, 7, 3, -4],\n [-2, -4, 5, -6, -9]]\nB =\n[[5, -8, 2, -2, 0, 6],\n [6, -8, -8, 7, -7, 10],\n [10, 2, -10, 0, -9, 7],\n [-5, 10, 1, -7, -3, -9],\n [6, -3, -1, 1, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1746", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 9, -10, -9],\n [-7, -5, -6, 7],\n [-4, -10, 8, -8],\n [-3, -10, -2, 8]]\nB =\n[[3, -9, 4, 0, -9],\n [-9, -1, -7, -4, -4],\n [4, 3, 2, 0, 0],\n [6, 1, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -7, -2, -9, -10, 10],\n [7, 6, 5, 0, 5, -3],\n [10, 1, 2, 2, -2, 0],\n [-6, 6, 7, -4, -3, -3],\n [1, 9, 4, 2, -3, -6]]\nB =\n[[-3, 9, -10, -6, -8],\n [-4, 5, 3, -7, 4],\n [5, 5, 4, -6, 8],\n [-6, 2, -7, -1, -5],\n [-9, -2, 2, -8, 9],\n [-3, 9, 5, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1682", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 5, 2, 2, -2, 2],\n [6, -5, -8, 9, 1, 1],\n [0, -10, 1, -3, -4, -2],\n [10, 4, 8, 10, -3, 8]]\nB =\n[[1, -3, -3, 7, -9],\n [4, -8, -2, 7, 1],\n [9, -10, -5, 7, -3],\n [7, -8, -7, -8, -3],\n [-2, 2, 1, 10, 8],\n [9, -4, -2, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-575", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -8, -10, -3],\n [4, 8, 7, -1],\n [-5, 9, 10, 9],\n [8, -8, 4, -9],\n [-10, 8, -6, -6],\n [10, -3, -5, 7]]\nB =\n[[-7, 2, -9, -1],\n [9, -5, 1, 4],\n [7, -3, 1, 4],\n [-1, 6, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1828", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[7, -10, 3, 1, 7],\n [7, -10, 7, 0, -10],\n [-8, -3, -1, -1, 2],\n [-1, 7, 4, 0, 3]]\nB =\n[[0, -10, -2, -8, 3],\n [-9, -1, 8, 6, -1],\n [0, 9, 5, -2, -7],\n [5, -4, -9, 10, 4],\n [4, -8, 0, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -2, -4, 4, -6],\n [-9, 10, -7, -9, 0],\n [2, -9, 10, -3, -6],\n [2, 0, -3, -1, -1],\n [-10, 2, -3, -8, 10],\n [8, -7, 8, -3, 9]]\nB =\n[[9, 9, 8, -2, -7, -4],\n [-10, -5, 3, -9, 9, 10],\n [-1, -7, -5, 8, 4, 8],\n [-9, 0, 5, -8, -7, -2],\n [-6, -1, -2, 3, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2357", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -9, 5, -3, -1],\n [-1, 1, 1, 10, 6],\n [-7, -7, -6, -10, 1],\n [-2, -10, 4, -1, 6],\n [3, 9, 8, 6, 8]]\nB =\n[[0, 6, 4, -9, -5],\n [-5, 10, 9, -9, 8],\n [10, 2, -9, 9, -1],\n [-3, 5, 10, 7, 7],\n [1, 4, -1, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-1, -3, -6, 9, -8, 0],\n [-5, 0, 7, -4, 9, -3],\n [8, -6, 1, 5, 10, -5],\n [1, 9, -10, -6, 0, -1],\n [8, -8, -5, 5, 2, -7],\n [-5, -6, 8, -2, -3, -3]]\nB =\n[[5, 9, 1, 8, -1, 5],\n [-7, -4, 6, 9, 9, -5],\n [9, 10, -10, 2, 1, 7],\n [-2, -4, -8, -1, 10, 6],\n [-6, 0, -7, 7, 1, -7],\n [9, -6, -1, 9, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-8, 7, 9, -1],\n [5, 10, -5, -7],\n [-4, -6, -8, 6],\n [4, -3, 8, -9]]\nB =\n[[-4, 4, -7, 9, -6, -2],\n [3, 4, -2, -9, 0, -4],\n [3, 7, 5, 6, 4, 3],\n [-2, 5, -7, 9, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 5, -5, 3, -2, 1],\n [-4, 10, 1, -7, 1, 9],\n [-10, 4, 6, 10, -8, 0],\n [5, -4, -3, 6, 4, -9]]\nB =\n[[5, 0, -2, -1, -7],\n [6, 0, 8, -1, 10],\n [-3, -7, -3, 3, 10],\n [0, 2, 3, -1, -2],\n [2, 6, -7, -4, -6],\n [-6, 8, 7, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, 2, 5],\n [-7, -5, -2, 4],\n [-1, 10, 5, -7],\n [-8, 3, -4, -2]]\nB =\n[[-5, -8, 3, -3, 4, 2],\n [0, -2, -4, -9, 8, -8],\n [-8, 4, 2, 9, 4, -6],\n [0, 8, -8, -10, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, -9, 10],\n [2, 0, -2, 4],\n [-4, 4, -8, 7],\n [-5, -4, -8, -1]]\nB =\n[[-5, -2, -9, -1, 7, 3],\n [-6, -1, 4, -9, 9, -1],\n [-1, -7, 4, -6, 2, -8],\n [-5, -3, -8, 8, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1081", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-8, -10, -8, -10],\n [9, -6, -6, 9],\n [1, -4, 0, -3],\n [-8, 2, -8, 10],\n [0, 0, 8, 0],\n [8, 7, 8, -8]]\nB =\n[[3, -3, 1, 2, 10],\n [-9, -8, -7, -6, -4],\n [-1, -5, -6, -2, 10],\n [10, 2, 4, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -5, 2, 2, -4],\n [10, -9, 2, -3, -3],\n [9, 1, 10, 4, -5],\n [-1, 9, 1, -10, -6]]\nB =\n[[4, 7, -5, 7, -6],\n [4, -6, 3, -5, 3],\n [6, 8, 3, -4, -1],\n [-9, -7, -1, 2, -8],\n [3, 0, -3, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -3, -1, 8],\n [-9, -6, -1, -5],\n [-8, 5, 6, -9],\n [4, -4, 6, -2],\n [3, 3, -7, 1],\n [9, -5, -6, -7]]\nB =\n[[-3, -10, -7, -6],\n [2, 0, 0, -6],\n [-4, 9, 4, -8],\n [-10, 4, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -5, 2, -10, -7, 6],\n [-1, -9, 6, 7, 6, 3],\n [1, -5, -10, 7, 0, -10],\n [-5, 7, 1, -4, -4, 4],\n [9, 5, -5, -2, 0, 2]]\nB =\n[[-9, -4, -5, -5],\n [-10, 4, 4, 5],\n [2, -7, 3, 10],\n [3, 8, 6, 0],\n [6, -9, 2, -2],\n [2, 5, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1189", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 3, 1, -2],\n [3, 3, -2, 4],\n [3, 6, 0, -1],\n [-8, -10, 8, -7],\n [0, 3, 1, 2],\n [-8, 6, 6, -3]]\nB =\n[[9, -3, 5, 6],\n [9, -7, 9, 1],\n [-9, -9, -7, 4],\n [0, -9, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 5, -10, 10],\n [-7, 10, 1, -2],\n [3, 5, -5, 3],\n [-4, -7, 4, 6],\n [-10, -10, -2, -6]]\nB =\n[[9, 4, 8, 1],\n [10, 9, 4, -6],\n [-9, 6, 10, 6],\n [3, 10, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1690", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 10, 8, -4],\n [-9, 2, -5, -8],\n [3, -6, -7, 5],\n [-3, -7, 4, -10],\n [-7, -6, -10, -6]]\nB =\n[[-9, -7, -6, -4, 0],\n [-10, 6, 5, -9, 0],\n [-4, 9, -10, 7, 6],\n [-8, 7, 6, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 1, -8, 8, -1, -5],\n [9, -3, 0, 6, 8, -2],\n [-1, 7, -5, 2, -8, -5],\n [9, -8, 8, 7, 5, 1],\n [-1, -4, -2, -7, -3, -8]]\nB =\n[[-6, 2, 8, -6, -1],\n [3, -5, 2, -10, -9],\n [-1, 6, -9, -9, 2],\n [1, -9, -6, -10, -7],\n [-4, 0, -9, -3, 0],\n [2, -7, 10, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 1, 2, 1],\n [-5, 1, -6, 3],\n [7, 1, -10, -9],\n [3, -5, -5, 0],\n [5, -5, 0, -1],\n [2, 3, -7, -3]]\nB =\n[[5, 8, 5, -9],\n [-3, 1, -5, 6],\n [-7, -5, -5, -1],\n [4, 4, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "956", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 2, -3, -6],\n [7, 5, -4, -7],\n [10, -4, 3, 10],\n [-5, -1, 4, 1],\n [2, -9, 0, -6],\n [-5, -1, -9, -8]]\nB =\n[[2, 0, 2, 5, 2, -3],\n [5, 4, 0, 7, 9, 2],\n [-4, -8, -4, -10, 8, 1],\n [6, 3, 7, 10, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, 4, -3, 4, 9],\n [5, -8, -6, 7, -4],\n [-6, 1, 10, -9, -2],\n [-4, 1, -4, -5, 5]]\nB =\n[[10, -10, 3, 9],\n [-4, -8, 1, -6],\n [5, -1, -9, -8],\n [6, -8, 4, 3],\n [-10, -2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[5, -4, -8, -9, 5, 4],\n [-9, 7, -5, -10, 0, -3],\n [-5, 3, -2, 7, -8, 4],\n [-7, -3, 1, -9, -7, -9],\n [-10, 6, 7, 3, -4, 9],\n [10, 8, 8, 9, 7, 9]]\nB =\n[[6, -7, -4, 5],\n [5, 5, 6, 7],\n [-3, -7, 5, -5],\n [-9, 3, 5, 3],\n [8, -7, 1, 5],\n [-1, 4, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -4, -1, -1, -3],\n [7, 2, -1, 5, -6],\n [-3, 1, -6, 8, -3],\n [-5, -1, 10, 2, -9],\n [2, -5, -10, -5, -4],\n [-9, 2, -10, 4, -8]]\nB =\n[[6, -5, 4, -7],\n [-3, 6, -6, -6],\n [-10, 7, 9, -3],\n [0, -1, 3, -7],\n [-1, 6, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, -4, 6],\n [10, 8, -7, 5],\n [9, -7, -8, -10],\n [1, 2, 2, -5],\n [7, 6, 5, 8]]\nB =\n[[-10, -10, -6, 6],\n [-10, -2, -9, 10],\n [6, 10, 6, 8],\n [3, 3, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-895", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -8, -9, 10, 3],\n [-6, -9, 0, -9, 3],\n [-8, 10, 10, 2, -3],\n [3, -6, -5, 3, -5],\n [4, 2, 7, 0, 8],\n [-6, 0, 0, -8, -4]]\nB =\n[[3, 4, 0, -10, 3, 0],\n [-8, 5, -3, 7, -7, 4],\n [-3, 3, 2, -9, -5, -10],\n [0, 10, -7, 9, 3, 1],\n [7, 2, 7, -3, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 2, -3],\n [9, 9, -9, -10],\n [-8, -2, 6, 10],\n [-9, -5, 9, 1],\n [6, 2, 10, -9]]\nB =\n[[0, 10, 5, 1, 2, 0],\n [-6, -5, 0, 6, 3, -6],\n [-2, -5, 2, 9, -6, 7],\n [-5, -7, -1, 4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -9, 0, 3, 10],\n [5, 6, -10, -8, 0],\n [6, 9, 6, -9, -7],\n [-8, 7, -10, 6, -2]]\nB =\n[[-2, -6, -2, 9],\n [-1, 10, -5, 5],\n [7, 6, 10, -2],\n [3, -7, 0, 10],\n [0, 9, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 5, 8, -7, 0],\n [5, 3, -4, -8, -7],\n [8, -7, -8, 5, 9],\n [1, 5, 0, 2, -7]]\nB =\n[[3, 9, 8, 0, -9, 4],\n [-2, 2, 4, -6, 0, 4],\n [-10, 10, -1, -3, -4, -5],\n [6, -2, 7, 7, 5, 3],\n [-8, 5, -5, 2, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1371", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -1, -9, 2],\n [-1, 0, 2, -5],\n [9, -1, -10, 10],\n [3, 5, 6, 2],\n [7, -5, -3, 1],\n [-1, -9, -9, -7]]\nB =\n[[-2, 8, 0, -8],\n [-5, -8, 9, 6],\n [-8, 10, -3, -4],\n [-9, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -7, -8, 7],\n [6, -9, 7, 0],\n [3, 2, -5, -1],\n [-9, -6, -9, -10]]\nB =\n[[-9, -6, -8, -2, -4],\n [-2, 3, 5, -4, 1],\n [-5, 5, -9, -7, 2],\n [-2, -1, 1, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 0, -10, 4],\n [-2, -5, 6, -5],\n [-8, -9, -8, -9],\n [9, -1, -4, -5],\n [-7, 4, -5, -3],\n [0, 1, 1, 3]]\nB =\n[[9, 10, -2, 0, 0, 5],\n [10, 9, -6, 6, 1, -5],\n [3, 6, -4, -10, -10, 5],\n [6, -7, -5, -4, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, -8, 7],\n [3, -2, -6, 8],\n [2, -2, -7, 4],\n [-4, 4, 1, -5],\n [-5, 8, 7, -4],\n [-2, 3, -2, 4]]\nB =\n[[2, 2, 10, 9],\n [3, -5, 2, 9],\n [10, -7, -9, 5],\n [-6, -8, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 6) of the product matrix AB given:\nA =\n[[-7, -5, -9, -9, 4],\n [-6, -8, -2, -10, 8],\n [3, 4, -8, -4, -6],\n [-3, -10, 7, 4, 3]]\nB =\n[[-8, -9, -4, -1, 0, -8],\n [9, 3, 3, 8, -6, -7],\n [-5, 2, 0, -6, -2, 6],\n [4, -10, 0, 2, 1, 10],\n [7, 3, 5, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-6, 2, 4, -2, 10, -3],\n [-6, 6, 7, -10, 0, -3],\n [1, 2, -2, -8, 7, 5],\n [0, -8, -2, 10, -9, 0],\n [-6, -4, -7, 10, 2, -7]]\nB =\n[[-2, 10, -7, -3, 1],\n [7, -9, -4, 9, -10],\n [9, -5, 9, 8, 6],\n [-6, -3, -6, 8, -4],\n [-4, 10, -10, -8, -1],\n [2, -5, 4, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -4, -7, -10],\n [-2, 2, -6, 5],\n [10, -2, 9, 1],\n [-1, 1, -8, 4],\n [0, -2, -10, 6],\n [-2, 3, -8, 8]]\nB =\n[[-7, -6, -7, -5],\n [7, -6, 6, -8],\n [2, -6, 7, -2],\n [3, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 8, 10, -2, -8],\n [-1, -7, 6, 6, -7],\n [9, -8, 7, 10, 1],\n [7, 10, 10, 1, -5],\n [9, -5, 5, 8, 4],\n [-10, -6, 7, 3, 7]]\nB =\n[[0, -6, -5, -3, -7],\n [4, -1, 8, -10, 1],\n [5, 2, -6, -3, -10],\n [-4, -7, 2, -9, 4],\n [7, 9, 10, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1217", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -8, -1, -3, -6, -4],\n [-3, -6, 5, 0, 5, -7],\n [3, 1, 2, -7, 0, -10],\n [9, -5, 5, 4, -10, 2]]\nB =\n[[7, -9, 9, 10, 3],\n [-7, -5, 5, 10, -3],\n [-6, -9, -5, 7, -6],\n [-2, -3, 7, -3, 7],\n [2, 6, -4, 7, -6],\n [-4, 3, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1277", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 3, -7, 1, 0],\n [-9, -6, -8, -3, -4],\n [10, -7, -8, 1, -5],\n [6, 4, 7, -1, -9],\n [-5, 9, 9, -2, 4]]\nB =\n[[1, 2, -4, 9, 10, -5],\n [-5, 1, 4, -6, -9, 9],\n [-2, -8, -3, 2, -1, 7],\n [2, -3, -6, -2, 7, 10],\n [-7, -2, 7, -2, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -10, 10, -3, 8, 9],\n [-3, 4, -4, -7, -9, 9],\n [-9, -9, -10, -9, -5, 6],\n [-1, 6, 5, -8, 8, -5],\n [-7, 9, -3, 8, -5, 8],\n [5, 2, 6, -10, -2, 8]]\nB =\n[[0, -9, 6, -7],\n [6, -3, 10, -1],\n [10, 2, -1, -2],\n [-1, 3, 7, 0],\n [8, -6, 5, 8],\n [8, 10, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2615", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -3, 1, -6, 2],\n [-2, -8, -3, 4, -1],\n [-2, -5, 9, -8, 5],\n [0, -5, 5, 6, 6],\n [-10, 4, 2, -3, 8],\n [8, -6, -3, -7, 6]]\nB =\n[[-10, 3, 4, -9],\n [3, 9, 6, 8],\n [-6, -10, -5, -2],\n [-5, 1, 0, 5],\n [6, 0, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-775", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, -7, -3, -1],\n [9, 5, 4, -7, 3],\n [9, 1, -5, -6, 9],\n [7, 0, -1, 8, -3],\n [2, -9, -1, -5, 10],\n [-9, 1, -4, -2, -6]]\nB =\n[[-7, 10, -7, -6],\n [-5, -5, -9, 8],\n [3, -7, 0, 4],\n [1, 7, 2, 2],\n [-6, 0, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 9, 4, 4, 0, 2],\n [-9, -2, 0, 4, 3, 5],\n [10, 9, 2, 9, -8, 1],\n [6, -6, 1, 0, -1, 0],\n [-3, -10, -5, 5, 0, -6]]\nB =\n[[-7, -5, 3, -4, 10],\n [1, 4, 7, 10, -1],\n [-7, -9, 4, -10, 0],\n [1, 9, -1, -8, 2],\n [-8, 0, -1, -6, -3],\n [8, -5, 6, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 9, 0, 0, -10, -6],\n [3, -7, 1, 8, 4, 2],\n [6, -4, 1, 3, -8, 7],\n [10, 1, -10, -7, 3, -10],\n [5, 1, -10, 5, -4, 7]]\nB =\n[[-8, 0, -5, 0, 2, -3],\n [7, -7, 6, -7, -1, 2],\n [3, -9, 9, -3, -7, -9],\n [-4, 5, -8, 0, 2, 8],\n [-4, -9, -3, -5, 10, 5],\n [3, -9, 8, 3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2055", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -3, -9, 6],\n [9, 6, -4, -5],\n [-9, -7, -8, -7],\n [10, 2, -7, 0],\n [5, -3, -5, -8],\n [2, 5, -6, -9]]\nB =\n[[-6, 9, 6, 6, 9],\n [0, 8, 4, -2, 6],\n [0, -7, 5, -7, 4],\n [-8, -1, 8, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "484", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[8, 3, -4, 8],\n [-9, -7, 3, -1],\n [1, 10, -7, -2],\n [-8, 3, 6, -9]]\nB =\n[[3, 0, -3, -3, -2, -7],\n [7, 8, 6, 1, -10, 8],\n [0, 7, -9, -2, 9, 4],\n [-4, -6, -3, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -6, -5, 5, 0],\n [9, 5, 0, 4, 10],\n [-9, 1, 1, -3, -4],\n [7, 9, 1, 3, -1]]\nB =\n[[6, 1, -9, -8],\n [-8, -5, -6, 10],\n [-7, 5, 0, -10],\n [2, -2, -1, -6],\n [2, 9, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 0, 10, 0, 1],\n [6, -7, -2, -10, -5],\n [-5, -2, 8, 10, 3],\n [9, 7, 5, 9, -9],\n [6, -3, 8, -3, -4]]\nB =\n[[0, -10, -1, 4],\n [10, 9, 0, -2],\n [-4, -7, -3, -1],\n [1, 8, 4, 10],\n [9, 6, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1457", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 9, 5, -3, 3],\n [-7, 5, 4, -4, -10],\n [10, -10, -1, -5, -5],\n [6, -10, -1, 8, 3],\n [1, -9, 6, 3, 5],\n [-1, 3, -3, 2, 5]]\nB =\n[[3, -9, -6, -8],\n [-6, 1, 10, 0],\n [1, 1, 3, 1],\n [-1, 10, 8, -8],\n [4, 2, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, -3, 1, -2, -1, 2],\n [4, -4, 0, 3, -8, 7],\n [10, -2, 8, -4, 4, 7],\n [10, 6, -2, 7, 5, 6],\n [-1, 7, 5, 0, 7, -3]]\nB =\n[[9, 0, -4, 8, -7],\n [-5, -7, -3, -6, 8],\n [8, 10, -2, -2, 3],\n [9, -3, -1, -6, 0],\n [-8, -8, 9, -5, 7],\n [-8, 7, -6, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 1, -3, -2],\n [-8, -1, 4, 8],\n [9, 8, -4, -6],\n [8, -6, -7, -2],\n [-9, 7, -8, 8],\n [0, -10, -2, 1]]\nB =\n[[7, -7, 8, 6, 5],\n [5, -10, 5, 5, -2],\n [-3, 9, 3, 7, 1],\n [-7, -10, -5, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-743", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -5, 2, 4, -9],\n [9, 4, 7, 4, -9],\n [10, 9, -6, -7, 3],\n [-9, -10, 10, 4, 4],\n [-7, -10, -10, 4, 10]]\nB =\n[[6, 5, -5, -5, -3],\n [-2, 5, 7, -3, -6],\n [-8, -9, -2, 8, -4],\n [10, -3, 7, 8, -2],\n [4, -3, -5, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, 7, -6],\n [-4, 5, 2, -4],\n [-9, 7, -3, 3],\n [5, 4, -10, 10],\n [-1, 6, 10, -2],\n [5, -5, 3, 9]]\nB =\n[[-1, -4, 3, 10, 6],\n [4, 1, 9, 3, -2],\n [-10, -1, -4, -6, 6],\n [4, -10, 5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 0, 3, 1, 9, -10],\n [-9, -6, 5, 6, 4, 1],\n [-7, -1, -4, -2, 9, -3],\n [-2, 9, 9, -10, -8, -8],\n [-4, 6, 4, 1, 0, -1]]\nB =\n[[10, 8, 10, 4, 6],\n [8, -2, -1, 4, 10],\n [-3, 7, 8, -5, -10],\n [-2, 5, 9, -6, -6],\n [7, 0, 9, 4, 10],\n [-6, 7, -10, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1557", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 0, 7, 0, -5, 7],\n [8, 8, -7, -9, 5, -5],\n [10, -2, -1, 3, -8, -2],\n [2, 4, -7, -2, 7, 2],\n [4, 0, -5, 2, -2, 8],\n [-8, 10, -7, 6, 9, -8]]\nB =\n[[3, 4, 10, -1],\n [4, 2, -4, 1],\n [-3, 7, 8, 8],\n [-6, 6, 9, 2],\n [6, 2, -9, 9],\n [5, -4, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 10, -6, -8, 8, 1],\n [-3, -3, -7, -5, 3, 0],\n [-7, 7, 4, 7, 3, -9],\n [6, -4, -2, -1, -6, -7],\n [-6, -9, -9, 4, 3, -6],\n [10, -8, 6, -8, 9, 2]]\nB =\n[[7, -6, 10, -2, 9],\n [10, -7, 2, -8, -7],\n [4, -3, 7, 0, 4],\n [3, 10, -7, -1, 3],\n [-6, 3, -5, 3, -4],\n [1, -6, -10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -3, 6, -5, 3],\n [10, 4, -8, 0, -6],\n [6, -7, -1, 9, -4],\n [4, -7, 4, 8, 1],\n [9, -10, -7, 2, -8]]\nB =\n[[-8, -9, -6, -9],\n [-1, 1, 2, 2],\n [-1, -9, 2, -1],\n [6, -6, -3, -7],\n [-1, 8, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 5, 7, 9, 3, 0],\n [-5, 10, 10, 1, 2, 9],\n [-9, 8, -2, 7, 6, 7],\n [-6, -1, -2, 4, 7, -3],\n [4, 10, -5, 1, -7, 1]]\nB =\n[[-7, 9, 0, 9, 7],\n [-3, 8, -5, 10, 8],\n [-8, -5, -7, -6, 6],\n [-1, 7, 2, -9, 7],\n [-1, 0, -6, 6, 6],\n [7, -3, -5, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1527", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 1, 7, -6],\n [-6, -6, 10, -10],\n [2, 2, -5, -1],\n [5, 4, 4, 9]]\nB =\n[[9, -9, 8, -1],\n [1, -4, 3, 1],\n [6, 10, -5, -8],\n [0, 6, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, -6, -3, -9],\n [-1, -6, -7, -5],\n [5, -9, 4, -7],\n [8, 10, 3, 9]]\nB =\n[[-10, 7, 10, 10],\n [8, -7, 6, -3],\n [3, 0, 6, 7],\n [-6, -9, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, 7, 3, 3],\n [-1, 4, 8, 6],\n [-3, 10, 7, 1],\n [-6, 10, 8, -1],\n [-9, -10, -3, 1]]\nB =\n[[-5, -1, 9, 9, -4],\n [-10, -9, 6, -10, -7],\n [2, -3, 2, -9, -3],\n [1, 4, 5, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 8, 3, -4, -4, -2],\n [9, -3, -9, 1, 6, -3],\n [-8, 0, -8, -7, 2, 7],\n [2, -7, -9, -4, 0, -6],\n [-9, -7, -3, 9, -5, -5],\n [10, 2, -5, 2, 3, 0]]\nB =\n[[10, -5, 0, -8],\n [-5, 5, 6, -9],\n [-2, -4, 0, -2],\n [9, -7, -6, 10],\n [-5, -5, -8, 2],\n [-1, 1, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1717", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -3, -9, -6],\n [6, -1, 3, 5],\n [8, -3, -7, 2],\n [4, 4, 7, -8],\n [4, -7, 7, -4],\n [6, 10, -10, -7]]\nB =\n[[-5, -9, 3, -3],\n [-4, -10, -7, -1],\n [-7, 4, 9, 6],\n [-9, -7, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 6, -7, 3],\n [-9, 8, 8, -1],\n [8, -2, 8, 2],\n [-3, -3, -2, -1],\n [-4, -4, 4, -7],\n [0, -2, -10, -1]]\nB =\n[[-10, -5, 9, -7, 1],\n [9, 3, 10, -3, 4],\n [-8, 3, 9, -7, 10],\n [-1, -8, 10, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -9, 5, -10, -7],\n [8, -3, 4, -1, 3],\n [2, -2, 0, 6, 1],\n [-3, 2, 4, -10, 1],\n [8, 0, 9, 2, -8],\n [7, -5, -10, -10, 2]]\nB =\n[[-8, -2, 8, 6, -10],\n [-2, 2, -4, -4, 9],\n [-5, -5, -7, 0, 1],\n [7, -6, -10, -7, -9],\n [1, -4, -3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2156", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-1, 0, 6, 10, -6, 5],\n [1, 2, 0, -4, -5, 6],\n [-10, -1, -5, -5, 8, -9],\n [0, -4, 8, -10, 9, 8]]\nB =\n[[-10, -5, 0, -3],\n [9, -6, 4, 10],\n [2, -4, 9, -1],\n [-8, -2, 5, -1],\n [7, -2, 3, -9],\n [0, -2, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -6, 0, -5, 9, 3],\n [0, 4, 10, 3, 9, -3],\n [-5, -8, 1, 9, -7, -3],\n [-6, 10, -7, 8, 0, -9],\n [9, -2, -7, 6, 0, 0]]\nB =\n[[-1, 5, -10, 6, 4],\n [-5, 0, -8, 4, 10],\n [9, 5, -1, 1, -6],\n [9, 2, -2, -4, -10],\n [-2, -5, 6, 7, 7],\n [1, 3, 0, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -6, 4, 4, -1, 6],\n [-3, 4, 5, 8, 3, 0],\n [-2, 5, 4, 6, 9, -3],\n [6, -7, 7, -2, 8, -8]]\nB =\n[[2, -1, -6, 5],\n [9, 6, -10, 10],\n [8, -2, 3, 2],\n [-10, -1, -3, -5],\n [-1, -2, -10, -9],\n [10, -9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "796", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 8, -4, 8, 1, -2],\n [0, 7, -8, -8, -6, 2],\n [8, -8, -10, -8, -2, 4],\n [1, 5, 0, 1, 2, 5],\n [1, -4, 2, -8, -5, -1],\n [-10, -1, -10, -5, -5, -7]]\nB =\n[[10, -10, -3, 5, 4],\n [-6, 3, -2, -6, -5],\n [-8, -3, -1, -3, 7],\n [-6, -3, 9, 1, 0],\n [8, 10, 5, -1, -7],\n [-8, -9, 6, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1688", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -8, 5, 4, -3, 9],\n [-3, -5, -2, -8, -5, 10],\n [6, -3, -2, 1, 9, -9],\n [-4, 5, -4, 8, -8, -6],\n [4, 3, -6, -10, -4, -8],\n [10, -1, 0, 4, -5, 8]]\nB =\n[[-10, -1, -8, -4],\n [2, 6, -4, -2],\n [10, -1, -10, -6],\n [-2, -7, -8, -2],\n [0, -9, -7, 10],\n [1, -1, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, 4, 8, 3],\n [5, -6, 6, -6, 2],\n [4, 8, 5, 3, 8],\n [-6, -1, 4, -5, 4],\n [0, 7, 2, 9, 2],\n [-5, -9, -7, 8, -4]]\nB =\n[[-9, -10, 0, -7],\n [0, 5, -10, 9],\n [-8, 7, 6, 2],\n [-5, -6, 5, 8],\n [1, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 10, -10, 8, 10],\n [2, 7, -5, -4, -2],\n [-4, 10, -8, -10, 10],\n [-1, 9, 10, -3, -1],\n [3, 2, -6, 0, 2],\n [7, -9, 6, 0, 9]]\nB =\n[[-4, 7, -10, 7, -1],\n [1, 7, 5, 10, 9],\n [-4, -2, 10, 2, -2],\n [0, -9, -2, 0, -4],\n [-8, -1, 10, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2043", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 3, 8, 0],\n [1, 6, 8, 5],\n [4, -1, -5, -5],\n [6, 1, -1, 2],\n [-7, 7, 4, -7]]\nB =\n[[-8, -5, 9, 5, -7],\n [1, -5, 1, -10, -2],\n [3, -3, 4, -7, -9],\n [0, 0, -6, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 6, -9, 7, -8],\n [-9, 4, -10, -1, -9],\n [2, 3, -4, 7, 8],\n [-2, 2, 2, 7, 10],\n [-7, 5, -2, 9, -10]]\nB =\n[[9, 10, -4, -6, 6],\n [-3, 1, -6, -5, -8],\n [-10, -3, -1, -4, -3],\n [-6, 2, 9, 1, -8],\n [-3, 5, 1, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 5, -10, 4, -3, 9],\n [-9, -1, -8, 3, 8, 8],\n [0, 1, -10, -4, -10, 0],\n [5, 9, -1, -5, 8, 10],\n [7, -9, 10, -7, -6, -7],\n [8, 0, 4, 4, 2, -6]]\nB =\n[[10, -5, -10, 9, 1],\n [7, 8, 3, -9, -7],\n [-4, 10, 8, -4, -3],\n [9, -7, 0, 10, 2],\n [4, 6, 9, -3, 3],\n [3, 5, -9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 5, -5, -9],\n [5, -10, -2, 6],\n [-8, 0, -3, -10],\n [2, 6, -2, -2],\n [0, 0, -1, 0],\n [-2, 4, -5, -5]]\nB =\n[[-2, -4, -4, -6],\n [5, -3, 6, 9],\n [7, 1, -7, 6],\n [-2, -1, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 3, -2, -5, 2],\n [-8, -2, 9, -4, 5],\n [-3, 7, -2, -4, -7],\n [-3, -1, 7, 4, 1]]\nB =\n[[6, 5, -10, 7, 2],\n [-7, -2, 6, 7, 10],\n [6, -6, 4, -6, -4],\n [1, 9, -7, -3, 4],\n [-7, -9, 8, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -5, -3, 6, 3],\n [6, 0, -5, -2, -3],\n [-8, 10, -6, -5, 9],\n [4, -10, 9, 0, 10]]\nB =\n[[-1, 10, -1, 0],\n [1, -10, 9, -4],\n [-5, -9, 6, -7],\n [8, 0, -6, -2],\n [-7, -5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 8, 4],\n [-6, -1, 1, 4],\n [-3, -8, -9, 5],\n [9, 3, 9, 10],\n [4, 5, -2, 4]]\nB =\n[[5, 4, -9, 6, 1, 3],\n [4, 3, -3, -9, 4, -3],\n [-2, 5, 4, 8, -2, 3],\n [-3, -8, -2, 5, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[1, 5, -8, -3, -7],\n [-9, -8, 1, 1, 9],\n [-3, -1, 9, -6, 10],\n [1, 7, -7, -10, -5],\n [3, 5, 10, 9, -1]]\nB =\n[[1, -3, -8, 5, 3],\n [4, -8, 2, -10, 5],\n [-5, -8, -2, 8, 5],\n [10, -6, 7, 9, 2],\n [3, 2, 3, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[1, -8, -1, -6, -8, 4],\n [-7, 1, 3, 8, 5, 5],\n [8, -2, 6, 10, 9, -6],\n [10, 9, 7, 5, -4, -7]]\nB =\n[[10, 2, 10, 0, 9],\n [-7, -9, 4, -9, 2],\n [-9, 9, 2, -10, -2],\n [-3, -2, -9, -9, -7],\n [-7, -10, 6, 4, -4],\n [5, -1, -5, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -10, -4, 1, -8, 5],\n [-6, 2, -6, 3, -8, -3],\n [-4, 10, -10, 8, -7, 9],\n [6, -4, 6, 10, 8, 1]]\nB =\n[[5, -9, 5, -7],\n [-3, 7, -7, 5],\n [9, -8, 3, 3],\n [5, 9, 5, -2],\n [3, 5, -8, -1],\n [-6, 8, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1383", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 8, 7, 0, 4],\n [-9, -9, 1, 10, 3],\n [-10, -10, 4, 0, -8],\n [-7, -4, 7, 0, -8]]\nB =\n[[7, 5, -10, 8],\n [10, -4, -4, 10],\n [-6, -7, 2, -5],\n [-8, 0, -4, -1],\n [-4, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-741", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 5, 6, 3],\n [-4, -3, 5, -4, -6],\n [10, 9, -8, 9, 6],\n [-5, -1, 4, -7, -8]]\nB =\n[[-7, 7, -10, 10, 5],\n [6, 10, -8, 8, 10],\n [-4, 4, -9, -3, 2],\n [-7, -4, 9, 5, -8],\n [-1, 2, -9, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -1, 8, 0, -1, -1],\n [5, 9, -1, 5, 1, -8],\n [-6, -9, 7, 7, -6, 6],\n [-9, 1, -4, 6, 7, -10],\n [4, 7, -7, -6, 5, -10]]\nB =\n[[9, 2, 8, -5, -9],\n [-3, -8, 3, -2, -4],\n [-5, 10, -3, 2, 2],\n [9, 3, 4, -5, 10],\n [2, 6, 0, 3, -10],\n [1, 5, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-401", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 9, 5, -9],\n [-10, -3, -9, -7],\n [0, -5, 1, -4],\n [-10, -6, -9, 9]]\nB =\n[[9, -7, 5, 3, 2],\n [0, 6, -6, 1, -7],\n [-6, 4, -9, 7, 5],\n [2, 3, -3, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 8, 4, 7, -5, -4],\n [4, -6, -2, -3, -10, -3],\n [-5, 1, -7, -1, -2, -1],\n [3, 5, 10, 6, 2, -9],\n [-9, -10, 5, 9, -6, 0],\n [6, 0, 3, -3, -3, -3]]\nB =\n[[-4, -8, 8, -10],\n [-4, 3, 6, -4],\n [3, -5, -5, 6],\n [-9, 8, 2, 4],\n [8, -6, 6, -4],\n [4, 7, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -7, -4, -9, 9],\n [-6, 1, 9, -9, -1],\n [-5, -10, -6, 4, 2],\n [-5, 10, 3, 8, -5],\n [-4, 2, -3, -4, -10],\n [9, 4, -2, 4, 2]]\nB =\n[[-9, 2, -8, 1, 6],\n [-9, 4, -10, 7, 4],\n [-2, -2, -3, 5, -2],\n [1, 6, 4, -7, 10],\n [3, 8, -8, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 9, -10, 7, -1],\n [-8, -4, 5, 10, -10],\n [8, -8, 6, 7, 5],\n [-10, 1, -10, 0, -3],\n [3, 4, 6, -4, -6]]\nB =\n[[-4, 0, -2, 7],\n [1, 1, 2, 10],\n [-10, 9, 3, 8],\n [-10, 5, 2, -4],\n [4, 1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -8, 10, 8],\n [-2, 1, -7, -6],\n [-8, 8, -9, -9],\n [-10, 10, -9, 10],\n [9, 9, -8, -4],\n [9, -4, -10, -9]]\nB =\n[[-5, 10, -9, 5],\n [6, -9, 9, 0],\n [5, -2, 2, 0],\n [3, -8, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 2, 3, -5],\n [-3, 8, 2, 5],\n [0, -5, 4, -3],\n [0, 3, -9, 0]]\nB =\n[[2, -2, -10, -1, -1, -6],\n [-10, 2, -1, 8, -9, 7],\n [-1, 4, -1, 4, -4, -10],\n [-10, -1, -6, 4, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 10, -4, -7, -6],\n [2, 5, 7, -2, 3],\n [3, -4, 0, -1, 9],\n [2, -10, -8, 4, 8],\n [-9, -4, 8, 0, 10]]\nB =\n[[-4, 7, 10, 5, -5, -4],\n [5, -7, -6, -6, 5, 3],\n [3, -6, -4, 0, 9, -9],\n [-2, -2, 1, 10, 0, 1],\n [-1, 4, 6, -4, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1792", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 2, -3, -10],\n [6, 6, -9, -10],\n [-5, 10, -10, 5],\n [-6, -6, 1, 1],\n [-9, 9, -8, -5],\n [8, -9, -7, 8]]\nB =\n[[-7, 2, 2, -6, -9],\n [1, 3, 9, 0, -3],\n [-5, 1, 9, -10, -4],\n [0, -10, 4, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 6, -10, 6, -6],\n [3, -2, -3, -4, -5],\n [-5, 8, -5, -10, -7],\n [-5, 4, 1, 6, 3]]\nB =\n[[-5, -3, 8, -1, 4, 7],\n [8, -2, 0, 10, -4, 8],\n [-10, -4, 7, 7, -7, -6],\n [5, 2, -7, 3, -9, 6],\n [2, -7, -9, -10, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 10, 7, 9],\n [1, 2, 2, 3],\n [-9, 6, -2, 1],\n [1, 0, -8, -2]]\nB =\n[[0, -1, 4, -10, -6],\n [5, 8, 9, 8, -7],\n [-9, -10, 0, -6, 6],\n [0, -3, 8, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[3, -9, 10, 2],\n [-4, 8, -6, 1],\n [-7, -7, -8, -7],\n [-2, 3, -4, -8],\n [-1, -7, -1, 2]]\nB =\n[[0, 10, -7, -3, -9, 4],\n [4, 0, -4, 1, 9, 10],\n [-2, -2, 10, 9, 3, -9],\n [-7, -5, 8, -10, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 6, 2, -6],\n [-5, 2, 2, -6, 8],\n [8, 4, 8, 6, -7],\n [5, 1, -3, 1, 6],\n [-1, -7, 1, -4, 5],\n [10, 9, -4, -9, 4]]\nB =\n[[-1, 0, 0, 0, -7, 3],\n [9, -4, 5, 6, -2, 10],\n [-7, -3, -4, -9, 2, 8],\n [-3, -1, -5, 2, 1, -7],\n [9, -4, 1, 9, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 7, 9, 9],\n [-6, 3, -1, -4],\n [8, 3, 2, 9],\n [-10, 8, -10, 3],\n [2, -4, -4, 4]]\nB =\n[[-5, 6, -10, 0],\n [-9, -3, -4, 8],\n [6, 7, -8, -9],\n [0, 10, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 8, -3, 1, -2],\n [-10, 7, 6, 5, -1],\n [-7, -6, -7, 4, 8],\n [8, 7, 8, -2, 2]]\nB =\n[[-8, -5, 4, 10, -10, 8],\n [6, 2, 1, 5, -4, -8],\n [9, -5, 6, -6, 0, 1],\n [2, -1, 8, -10, 7, -4],\n [-6, -3, -5, 8, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 9, 1, -10, 2, -3],\n [-8, 7, -1, -8, 4, -9],\n [-1, 8, 2, 8, 7, 6],\n [3, 8, 0, -10, -9, -7]]\nB =\n[[-8, 6, 2, 5],\n [2, 2, -2, 1],\n [-1, -1, -8, -1],\n [10, -1, 0, -7],\n [-5, -9, -3, 7],\n [4, -7, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 7, -4, -7, 8],\n [-1, 9, 8, -1, 4],\n [2, 3, 9, -2, 8],\n [-3, 6, 8, -6, -7],\n [3, 6, 5, -8, -3]]\nB =\n[[-8, -2, 2, 1, 10],\n [3, 5, 3, 5, 1],\n [-1, 1, -1, -5, -6],\n [-5, -5, 5, 6, -5],\n [0, -6, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[1, -2, -10, 1, 3, -4],\n [1, 5, 7, -10, 0, 3],\n [5, 2, -9, -4, 3, 0],\n [-1, 10, 2, 4, 7, 3],\n [-1, 3, 0, -1, -4, 1],\n [-5, 10, 9, 2, 6, -10]]\nB =\n[[-5, -8, -8, -8, 0, 0],\n [-10, 10, -1, 9, 3, 4],\n [9, -10, 6, -9, -8, -1],\n [4, 3, 0, -5, -1, 0],\n [1, 8, -8, -4, -6, -10],\n [-1, 5, 2, -8, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, -8, -7],\n [0, -5, 6, -6],\n [-5, 2, -8, 5],\n [6, 8, 4, 5],\n [-6, -3, 7, -3],\n [1, 5, 7, -3]]\nB =\n[[4, 6, -6, 4, -7],\n [-7, -10, -7, 6, 0],\n [-2, 6, 8, -2, -3],\n [-1, -2, 4, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -6, -1, -9, 4, 9],\n [-8, 0, 7, 10, 0, 0],\n [2, 10, 7, 5, -8, 4],\n [10, 6, -1, 8, -3, -8],\n [-9, -7, 1, -8, -10, 5],\n [5, -6, -2, 6, 1, -10]]\nB =\n[[9, 5, -8, -6],\n [-10, -9, -1, 6],\n [7, 0, 2, -5],\n [-4, 7, 0, -10],\n [9, 4, 8, 3],\n [-10, -6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-382", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[5, -2, 10, -2, 0],\n [-5, -9, -8, 6, -7],\n [9, 2, 7, 0, -10],\n [-10, 5, -7, 0, -10]]\nB =\n[[-10, -4, 0, -10],\n [9, -1, 1, -9],\n [-10, -3, 3, -4],\n [-5, 0, -8, 2],\n [7, 8, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[9, 10, -3, 10],\n [1, -1, 3, -6],\n [-1, 9, -5, 8],\n [0, 10, -10, 2],\n [0, 5, 2, -3]]\nB =\n[[10, 9, -10, 0, 3, -7],\n [2, -5, 10, 8, 1, -4],\n [-2, -8, -6, -2, -9, -1],\n [4, -5, -9, 10, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -3, -5, 5, -3, 0],\n [2, -1, 3, -8, -6, 9],\n [-7, 6, -9, 5, 4, 8],\n [1, -9, -8, -1, 0, 4],\n [9, -4, -6, 3, 4, 1],\n [-6, 0, 7, 9, 7, -8]]\nB =\n[[0, 9, 4, -5],\n [-4, 3, -10, -3],\n [-10, 5, -5, -1],\n [9, -10, 9, 5],\n [9, -4, -5, -10],\n [2, 6, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-2, -9, -7, 0, 3],\n [-8, 7, 2, -7, -1],\n [7, 1, 2, -7, -4],\n [1, 8, 2, -9, -4]]\nB =\n[[1, 5, 10, 4, 4, -5],\n [-5, -6, -3, 10, 9, -7],\n [8, -6, 8, 6, 10, 6],\n [-1, -3, -8, 3, -7, 1],\n [-9, 8, 7, 10, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 9, 2, -4],\n [-2, -9, -2, -2],\n [-3, 4, -2, 8],\n [-7, 0, 3, 7],\n [-7, 8, -10, -4],\n [-10, 1, -3, -3]]\nB =\n[[-1, 7, -6, 10, 2, -10],\n [1, -4, -9, -9, 1, -5],\n [1, 1, -7, 0, -8, 4],\n [-10, 3, 9, 8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1891", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-10, 6, -9, 0],\n [2, -2, 0, -8],\n [4, -8, -2, -4],\n [-3, 4, -3, -2],\n [-7, 4, 0, -10],\n [6, 9, 7, 4]]\nB =\n[[4, 0, -7, -1, -4],\n [5, -9, 0, -2, -9],\n [-4, 10, -2, -8, -3],\n [-4, -9, 9, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -6, -6, -1],\n [9, 7, 9, 0],\n [-9, -1, 5, -5],\n [-3, 9, -9, 6]]\nB =\n[[2, -3, -8, -8],\n [-2, 3, 0, 1],\n [2, -9, 0, -8],\n [4, 10, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, 5, 0, 1, 2],\n [-4, 0, 8, -5, -9],\n [5, 9, 1, 7, -8],\n [0, 9, -8, -8, 5]]\nB =\n[[4, -8, 2, -6, 1],\n [3, 10, 0, 10, -5],\n [-10, -1, -1, -2, -1],\n [4, -5, -7, -3, -4],\n [-9, -1, -4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 8, 4, -2, 5],\n [4, 4, -10, -8, 7],\n [9, -5, -10, -2, -1],\n [-6, -9, 0, 10, -5]]\nB =\n[[-5, -7, -1, -4, 0],\n [-8, -7, -9, 3, 8],\n [-1, -5, 9, 5, 9],\n [7, 2, -10, -7, -4],\n [8, -9, 8, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -7, 0, 2, 7],\n [-1, 9, -10, 2, 4],\n [2, -1, 7, 1, -10],\n [5, -10, 9, 1, 3]]\nB =\n[[0, 8, 2, -9, 7],\n [8, 7, 5, -1, -2],\n [-9, -6, -2, 5, -5],\n [-1, -10, -2, -6, -10],\n [-7, 4, 2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1289", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 1, 4, 7, -9],\n [-5, -6, -1, -4, 4],\n [-9, -10, -10, -2, 4],\n [5, 10, 0, 2, 4],\n [10, 3, 7, 10, -10]]\nB =\n[[3, -2, 8, -2, -4],\n [9, 0, 4, 0, -9],\n [1, -4, -4, 8, 5],\n [-10, -7, 6, -7, -4],\n [8, 1, 8, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -10, -7],\n [-4, 10, 6, -7],\n [5, -7, -5, 1],\n [-4, 4, -4, 9]]\nB =\n[[-5, 6, 6, -4],\n [4, -10, -5, 7],\n [0, -7, -5, 9],\n [-3, 5, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -5, 10, 5, -10, 5],\n [8, 6, 5, -2, -5, 3],\n [3, -2, -4, 10, -1, -5],\n [2, -1, -1, 1, 10, -2],\n [9, 7, -1, 1, -6, 6],\n [10, -4, 6, 6, 3, -6]]\nB =\n[[-6, -8, 8, 10, 4],\n [9, 8, 1, 5, 3],\n [-5, -4, -3, 4, -9],\n [3, 1, 9, 1, 1],\n [-10, 5, -8, 1, 0],\n [1, 3, 4, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[5, -7, -10, 9],\n [7, -10, 7, 4],\n [-10, -5, -3, 8],\n [-6, 6, -8, -10],\n [-3, 9, 5, 10]]\nB =\n[[-6, 3, -9, -4, -1, 8],\n [-6, -3, 8, 2, -5, 3],\n [1, -1, 8, -5, -6, -4],\n [8, 0, -10, 6, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 8, 0, 9, -7, 9],\n [-9, 8, -7, -3, -5, -2],\n [0, -2, -7, 4, 7, 7],\n [-1, 8, 1, -2, 9, -3],\n [-3, -5, 4, 5, -8, 3],\n [-8, 10, -7, 6, -7, -4]]\nB =\n[[-1, 6, -1, -5],\n [8, -2, 1, 9],\n [-9, 2, -7, 2],\n [1, 0, -2, -3],\n [-4, -4, 1, 0],\n [2, -9, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1453", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 9, 7, 9, 1],\n [7, 6, -2, -2, -8],\n [10, -1, 4, -7, 4],\n [9, 7, 4, -10, 8],\n [-2, 10, -7, -10, -3]]\nB =\n[[7, 5, 2, 9, 1, -6],\n [-2, 2, -1, -3, -4, 4],\n [-5, 7, -3, -7, 2, 1],\n [8, -4, -5, 8, -7, 5],\n [0, -9, 5, -10, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1694", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 7, -7, -3, -7],\n [1, -10, 1, -6, 7],\n [5, -6, 8, -1, 7],\n [-1, -4, 9, -8, -5],\n [8, -7, -10, -10, -4]]\nB =\n[[0, 9, -5, 9, 6],\n [9, -1, -4, -5, 2],\n [-8, -10, -10, -2, 8],\n [-1, 2, -5, -1, -5],\n [-5, 1, -3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1937", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 10, -6, -7, 9],\n [-10, 5, 7, -1, 3],\n [3, -3, 0, 9, -2],\n [-5, 3, 4, -8, 8],\n [10, -5, 7, -1, -6],\n [-4, 1, 9, -10, 10]]\nB =\n[[-9, 9, 7, -1, 1, -7],\n [-9, -5, 5, -8, -5, -10],\n [-4, -2, -7, 3, -9, 7],\n [-5, -3, 8, 5, -5, 0],\n [-3, 9, -2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -6, 2, 6],\n [-3, -9, -3, -10],\n [1, 10, -2, -6],\n [-1, 4, -1, -8],\n [9, 8, 3, -10],\n [8, 4, 4, 8]]\nB =\n[[8, 3, -5, 2, -3, -10],\n [9, -10, -8, -10, -4, 6],\n [-10, 3, 0, 3, -4, 4],\n [-7, 3, 10, -10, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 9, 2, 1],\n [2, -7, 1, -8],\n [-6, -6, 5, 5],\n [-2, 9, 3, -9]]\nB =\n[[9, -10, 4, -3],\n [-3, -10, -3, -3],\n [0, -9, -6, 4],\n [3, -10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[4, 7, -9, -3, 4],\n [-8, 10, -4, 6, -1],\n [-8, -1, 7, -6, 4],\n [8, 6, -8, 2, 2],\n [-5, 8, -6, 8, -10],\n [-6, 6, -7, -1, 0]]\nB =\n[[-10, 3, 10, -3, -5],\n [-2, -7, -5, 9, 7],\n [-4, 6, 10, -3, 0],\n [-8, 8, -2, 10, -1],\n [-8, 2, 2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -6, -8, 5, -5],\n [8, 9, -4, -2, -6],\n [8, 10, -9, -3, -1],\n [4, -8, -2, 9, -5]]\nB =\n[[8, 1, -7, 5],\n [-7, -4, 1, -1],\n [-7, -8, 5, -4],\n [10, 2, -6, 9],\n [10, 6, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -2, -6, 1],\n [-2, -1, 6, 3, -7],\n [-1, -9, -9, -2, -1],\n [3, 4, 4, -10, -5],\n [10, -2, 8, -9, 5]]\nB =\n[[6, -9, -8, 1],\n [4, 6, 1, -5],\n [1, -3, 8, 7],\n [-8, 8, 5, -5],\n [7, -8, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1367", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, -9, -6, 9],\n [-4, 8, -3, 6, -5],\n [-4, -9, 6, -8, 10],\n [-1, -4, 8, -8, 10]]\nB =\n[[-10, 5, -5, -1, 10],\n [-10, -6, 6, -8, -4],\n [9, -7, 1, 1, 0],\n [-9, 3, 4, -10, 2],\n [4, 3, 9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -6, 9, 2, -6, -10],\n [-3, -10, 8, -3, -1, 8],\n [4, -4, -8, -4, -1, -5],\n [2, -8, 0, -5, -3, -10],\n [5, 9, 0, -3, -5, -10]]\nB =\n[[4, 5, 2, 3],\n [6, 9, 1, -8],\n [1, 6, 6, 9],\n [3, 0, -10, -4],\n [-10, 0, -9, -8],\n [-8, -6, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "783", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 3, -6, 8, -10],\n [5, -3, -8, -8, -1],\n [6, 3, -5, 3, 0],\n [-6, 7, 7, -7, -9],\n [-7, 7, -6, 10, 6]]\nB =\n[[1, -6, 7, -1, 0],\n [-2, 0, -10, -10, -8],\n [-10, -1, -4, 6, 6],\n [10, 1, -10, 9, 0],\n [-9, -10, -6, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1788", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, -10, -7, 2],\n [-3, 2, 4, 7, 3],\n [3, -8, -3, 10, -7],\n [4, 7, 2, -10, 3],\n [5, -1, -10, 4, -8],\n [-1, 1, -1, -7, -9]]\nB =\n[[7, -2, 8, 4, -8],\n [-6, -3, -8, -6, 5],\n [-3, 7, 6, -4, -5],\n [10, -4, 6, -3, -7],\n [-2, -8, -5, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[9, -3, 10, -5, 7],\n [3, -10, -10, 3, 3],\n [9, 8, 0, -7, -3],\n [6, 2, 9, 2, 3]]\nB =\n[[-4, -1, -7, -8, -10, 6],\n [-4, -6, -9, 8, -6, 1],\n [8, -10, 6, 7, 2, -2],\n [5, 7, -10, -9, -1, -8],\n [-8, 8, -4, 5, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 2, 5, -8, 6, -6],\n [0, 0, 3, -8, -1, -8],\n [-3, -6, -5, 9, -4, -6],\n [-1, -4, 9, 1, -6, -5],\n [-10, -5, -9, -2, -2, -2],\n [10, -9, -10, -7, -6, 9]]\nB =\n[[-5, 7, -8, -3],\n [4, 4, 2, -4],\n [-3, -1, 1, 2],\n [10, -7, -8, -6],\n [-2, 8, -1, -2],\n [7, 0, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1491", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 2, -10, 10, 7],\n [-2, -10, 8, -7, 0],\n [9, 6, -10, -3, -7],\n [1, -9, 9, -10, -5],\n [-5, -5, -9, -9, 5]]\nB =\n[[3, -10, 9, 5],\n [-1, -2, 9, -6],\n [7, -9, 3, -2],\n [7, -8, 4, -3],\n [-1, 5, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 10, -10, 10, -3],\n [-1, -4, 0, 10, -10],\n [7, 2, 0, 0, 9],\n [-5, 6, -2, -4, 0],\n [5, -4, 5, 0, -2]]\nB =\n[[-7, -5, -4, 8, -1, 10],\n [-6, 2, -4, 1, 7, -3],\n [4, -4, -2, -6, -10, 1],\n [-3, -9, -7, -3, 0, 6],\n [-5, -8, -6, 1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2097", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 0, 3, 5],\n [5, -8, -4, -6],\n [-5, 3, 3, -10],\n [-10, 4, -10, 10],\n [3, 4, 2, -6],\n [-10, 8, 0, 2]]\nB =\n[[10, -3, -1, -3, 8],\n [6, 4, -4, 3, -8],\n [-4, 0, 2, -8, -7],\n [-10, -8, -5, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-7, -4, 3, -5, 7, 1],\n [9, -6, 7, 4, 1, 5],\n [-2, 0, -3, 9, -3, 2],\n [-9, -9, 4, 10, -6, -10],\n [6, -7, 6, 0, 9, 2],\n [-2, 3, 5, -9, -6, 9]]\nB =\n[[-10, -5, -3, -6, 1],\n [6, 5, -7, 4, 0],\n [-1, -8, -8, 8, 7],\n [6, 4, 2, 5, 1],\n [-1, 2, -3, -9, 1],\n [-4, 10, 10, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[6, 10, 4, -3, -2],\n [6, -5, -3, 9, -10],\n [-1, 1, 7, 6, 7],\n [5, -8, 10, -10, 2],\n [-1, -3, 5, 4, -4],\n [-5, -6, 10, -8, 8]]\nB =\n[[-6, 6, 9, -10, -1],\n [-8, -5, 9, -6, -6],\n [-8, 6, 2, 4, 1],\n [-6, -8, -1, 5, -2],\n [-9, -8, 8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 8, 5, 3],\n [-3, -8, 6, -4],\n [-1, 0, -8, 0],\n [-4, -6, -6, 6],\n [-7, -3, -5, 0]]\nB =\n[[-2, -7, 0, 8],\n [-8, 10, -3, -1],\n [-3, 5, -8, 1],\n [2, 7, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "885", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -7, 0, -9, 2, 9],\n [-3, -3, -5, 0, -1, 5],\n [-1, -1, -3, 8, 2, 8],\n [-3, -6, 7, -7, 8, 2]]\nB =\n[[-3, 2, -2, 2, -7],\n [-10, -1, -5, 8, -8],\n [7, 2, 0, 9, 6],\n [4, 6, -3, -9, 5],\n [-7, -8, 1, 1, -9],\n [-9, -4, -2, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1050", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 9, 9, 10, 2],\n [-8, -10, 6, -1, 3, -5],\n [0, 6, 9, -8, -3, -6],\n [10, 2, 4, 10, 7, 0],\n [-2, 9, 8, -7, 1, 6]]\nB =\n[[6, 10, -1, -3, 10, 1],\n [10, 10, 9, -9, 6, -5],\n [6, -9, 6, -2, -10, 7],\n [-1, 9, 9, -10, 6, -1],\n [-6, 2, -9, 2, 8, -8],\n [1, 8, 1, 8, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2920", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 7, 10, 4],\n [3, 0, 9, -8],\n [2, -7, 5, -4],\n [-4, 0, 2, -10],\n [-7, 5, -3, -9],\n [9, 9, 5, -8]]\nB =\n[[10, -2, -8, -4, 8],\n [-6, 4, 4, -1, 4],\n [0, -2, -10, 2, 4],\n [9, 2, -4, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -1, 7, 3],\n [-2, 1, -4, 7],\n [-4, 10, -8, 10],\n [-1, -7, -7, 4],\n [-5, -3, -1, 10]]\nB =\n[[7, -9, -6, 0, 5],\n [-8, 9, -4, 1, -8],\n [1, 6, 2, -9, -4],\n [-7, -4, 1, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1300", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, -2, 3, -8],\n [4, -1, -7, -6],\n [0, 2, 0, 10],\n [10, 5, 3, 3],\n [5, 0, 6, 8]]\nB =\n[[2, -5, 10, -8, -7],\n [3, -9, 9, -8, 9],\n [10, -7, 7, -8, 8],\n [2, 2, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -1, 6, -2],\n [6, -5, 5, -6],\n [2, 5, -9, -6],\n [-9, 8, -5, -6],\n [9, -4, 7, -5],\n [1, -10, 2, 5]]\nB =\n[[-5, -7, -10, 2, -10],\n [8, 4, 0, 7, -2],\n [2, 3, 0, -4, 9],\n [-5, 8, -10, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-429", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-2, -2, -2, 9, -5, 6],\n [7, 1, 3, -9, 10, 2],\n [-7, -3, -10, -10, -8, 3],\n [-4, -6, -4, -5, -4, 0],\n [-2, 0, 9, -1, -10, 7],\n [-4, 3, -10, 6, -6, -10]]\nB =\n[[-10, 8, 1, 1, 7],\n [-9, 9, -9, 2, 8],\n [-4, 7, 0, 0, 1],\n [4, -2, 9, -10, 3],\n [-2, 6, -9, -10, 1],\n [1, -8, 0, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, 10, -4, -1, -5],\n [10, -7, -1, -3, 0, -3],\n [-8, 10, -8, 0, 5, 6],\n [-4, 10, -10, -1, 3, 8],\n [8, 4, -6, -5, 7, -4],\n [-3, 5, 5, 0, -2, 7]]\nB =\n[[-1, -8, -1, 2],\n [-8, -10, 1, 4],\n [-1, -6, -8, 6],\n [-1, 8, 6, -4],\n [2, 3, 8, 8],\n [-7, 7, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -4, -5, 5, 6],\n [2, -8, 5, 5, 1],\n [-2, 0, -1, 8, -2],\n [-7, 1, 9, 5, 10]]\nB =\n[[2, 3, 6, -4, -7, -5],\n [2, -1, -7, 6, 5, 6],\n [-2, 6, -2, 10, 4, -4],\n [-4, 3, 10, 4, -9, 6],\n [-8, -10, -10, 10, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -3, 7, 8, -3],\n [9, -7, -7, -9, -10],\n [-1, 3, -5, 6, -4],\n [-10, -1, 8, 4, 1],\n [-9, 2, 2, 4, 0],\n [-3, -8, 8, 5, 5]]\nB =\n[[6, 4, 2, -9, -7, 0],\n [8, 4, -10, -3, 3, 1],\n [-8, -6, -2, -2, -6, 0],\n [-2, 1, 8, 10, 10, 2],\n [10, 5, 6, -1, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 10, -8, -1, 7, 5],\n [10, -5, 6, 2, 3, 2],\n [0, 9, 2, -8, 1, 10],\n [-7, -7, 2, 9, 4, 6]]\nB =\n[[1, -5, 6, 3, -3],\n [-9, -8, -6, -5, 2],\n [-7, -9, 4, -9, 10],\n [-1, -1, -4, -3, 0],\n [4, -3, -9, 2, 4],\n [8, 9, -3, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[1, 3, 10, 5, 5],\n [-10, 10, 3, -2, 1],\n [-5, 4, 5, -9, 6],\n [-8, 1, 2, -7, -8],\n [0, -2, -5, 1, -10],\n [7, -5, -7, -8, 3]]\nB =\n[[4, 4, 4, 9],\n [-1, 7, 4, 2],\n [9, -8, -6, 8],\n [9, -10, -2, -9],\n [-7, -8, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-5, -9, -7, 7, -3],\n [-5, 2, -9, -10, -6],\n [-3, 4, 1, -3, 0],\n [5, 1, -1, -2, 5]]\nB =\n[[10, 1, -4, -4, 4],\n [-7, -7, -9, -4, -10],\n [10, 1, -6, -6, 6],\n [0, 5, -1, -8, -10],\n [3, 7, -5, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-8, -2, -1, 1],\n [5, -6, 9, -9],\n [-8, 3, -6, 0],\n [-9, 4, 8, -7],\n [-1, 7, 7, -5]]\nB =\n[[2, 9, -2, 2],\n [7, 4, 8, 7],\n [-7, -3, -8, 4],\n [-2, -8, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -5, 10, -1, 10],\n [-9, -8, -2, -5, 0],\n [9, 7, 3, -8, -6],\n [-6, -1, 2, -4, -8],\n [2, -5, 2, 5, -10],\n [-8, -10, -3, 2, -10]]\nB =\n[[0, 0, 2, 7, 2, 2],\n [10, 1, 3, 9, -5, 10],\n [1, 9, -10, 1, 7, 0],\n [-6, 0, 7, 10, -2, -9],\n [-5, 10, -6, 2, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2964", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, -4, 0],\n [4, -6, -4, -7],\n [6, 7, -2, -8],\n [2, 6, -6, -6]]\nB =\n[[2, -7, 4, -8, 5],\n [9, -8, 9, -4, 8],\n [8, 9, -3, -1, 1],\n [6, -10, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-1, 2, 5, -3, -7],\n [0, -5, 1, -9, 5],\n [-8, 0, -10, 6, -3],\n [-1, -10, -4, 5, -10],\n [-4, 1, -4, 3, 6]]\nB =\n[[-9, -7, 9, 3],\n [1, 0, 0, -7],\n [8, 3, -1, 5],\n [3, 2, 9, -9],\n [9, -1, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -10, -1, -4, -7],\n [-6, -2, -5, 0, 0],\n [-2, -10, -2, 8, -4],\n [6, -7, -5, 8, 7]]\nB =\n[[2, -4, -7, -9],\n [9, -7, 0, 1],\n [-7, 2, 3, 6],\n [-1, 2, 9, 0],\n [-2, -2, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 7, 2],\n [0, 4, 1, 4, -4],\n [-7, 1, 0, -1, -10],\n [1, 6, -1, 9, -3],\n [-6, -10, -2, 3, -9],\n [-6, -7, -4, 1, -8]]\nB =\n[[-5, 9, -3, -10, 7],\n [6, -3, -8, 3, -10],\n [4, -10, 1, 2, -2],\n [-8, -5, -8, -2, 2],\n [4, -7, -3, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[9, -10, -6, -5, -1, 7],\n [3, -8, 7, -2, -4, 6],\n [8, -3, 9, 1, -2, 10],\n [0, -4, 2, 2, -6, 6]]\nB =\n[[-5, 8, -9, -9, -5, -8],\n [8, 4, -2, 8, 7, 5],\n [-7, -5, -3, 3, 2, -3],\n [10, 7, -1, 0, 7, 8],\n [-8, 2, -4, 6, -7, 6],\n [-2, 10, -2, 10, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -5, 6, 10, -5],\n [10, -1, -6, 9, -4],\n [-10, -5, 4, 8, -2],\n [8, -3, 6, -6, -7],\n [6, -4, 6, -7, -8],\n [2, 8, -3, -9, -10]]\nB =\n[[6, 0, -7, 0, -5, 3],\n [-9, -1, -10, -9, 9, 4],\n [4, 5, 2, 9, -9, 4],\n [-9, 7, -5, 10, -5, 6],\n [-6, -6, -1, 0, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2700", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, 9, -3, -8, 0, -8],\n [-7, -2, -7, -8, -5, 10],\n [-9, 3, -9, 4, 0, 4],\n [-5, 3, -1, 0, 10, -6],\n [-6, 0, -7, 8, -4, -2]]\nB =\n[[4, 10, 7, -7, 2, -4],\n [9, 10, -5, -7, -3, -6],\n [10, -7, 7, -10, -4, -5],\n [-7, 10, -4, 9, 10, -5],\n [-9, -9, -2, 8, 1, 1],\n [10, -5, -5, 9, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[3, 2, 1, 9, -7, 3],\n [-10, 0, 0, 2, 1, 10],\n [-4, 5, -7, 5, 1, -2],\n [10, -6, -7, -3, 9, -10]]\nB =\n[[6, 5, 4, -1, 3, -7],\n [-10, 1, -9, -3, -9, -10],\n [-4, 8, -8, 0, -8, 6],\n [2, 6, 6, 5, 4, 1],\n [4, 2, 2, -9, -10, 6],\n [-7, -7, -10, -3, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 6) of the result:\nA =\n[[-10, -3, -1, 0, 3, 5],\n [10, 10, -3, 8, 2, -6],\n [3, 7, 7, 4, 6, 1],\n [-3, -1, 0, -10, -1, -9],\n [2, -2, -10, -7, -3, 9],\n [2, 0, 4, -4, 3, 9]]\nB =\n[[-6, 9, 7, 9, -9, 1],\n [10, -4, 8, -1, -10, -8],\n [9, -2, 4, 1, 2, -8],\n [9, 5, -10, 8, 6, -3],\n [1, 10, -10, 1, 8, -7],\n [0, -8, 8, -9, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -6, 4, 10, -8],\n [0, 2, 0, 5, -4],\n [3, 9, 5, 10, 3],\n [-8, 4, -10, -4, 4]]\nB =\n[[-7, 9, -4, 0, -6, -5],\n [-7, -8, -2, -4, 0, -8],\n [5, 0, 7, -7, 7, -3],\n [3, 5, -7, -3, -4, -6],\n [-7, 3, -4, -2, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, -2, -5, -1, 1],\n [-7, -8, -10, 3, 8, -3],\n [3, 0, -10, -4, 5, 8],\n [-2, 2, -1, 10, 6, 1],\n [3, 4, 1, -7, 3, -5]]\nB =\n[[3, -1, 4, -9],\n [5, -5, 9, -9],\n [-6, 9, -8, 0],\n [-2, 3, -10, 8],\n [-9, -5, 9, 6],\n [-2, 6, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 0, -10, -10, 7],\n [3, 2, 5, 8, 2],\n [-6, -3, -10, 5, 6],\n [4, -2, -7, -1, -6],\n [4, 6, 6, 5, -9],\n [9, 1, 9, -10, -4]]\nB =\n[[9, -3, -10, 1, -4, -8],\n [0, 0, 10, 7, 6, 2],\n [-6, -2, 9, 0, -7, -1],\n [9, -10, 5, -9, -10, 4],\n [-5, -3, 0, 8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2461", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 2, 2, 1],\n [5, -9, 8, 0],\n [-9, 9, 2, -5],\n [1, 7, 4, 7],\n [1, -7, -4, -10],\n [10, 4, -6, -6]]\nB =\n[[4, 10, 2, -5, 8],\n [-6, -10, 2, -4, -10],\n [-6, -3, 3, -7, 0],\n [-9, 7, -8, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-10, 5, 7, 1],\n [4, 3, 8, 7],\n [-7, 2, 0, 3],\n [-9, -6, -4, -5]]\nB =\n[[-7, -4, 0, -5, 6, 0],\n [-10, -1, 5, -5, 4, 7],\n [-9, 8, -3, -2, 10, -1],\n [-9, -5, 3, 7, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -10, 10, 1, 2, 4],\n [-3, -8, -7, 9, -2, 4],\n [3, -2, 7, 7, -10, -9],\n [-5, -2, -8, -1, 0, -7]]\nB =\n[[-5, -2, 2, -4],\n [-2, 1, -3, 5],\n [-10, -6, -7, -1],\n [-3, -5, 9, -1],\n [2, -7, 2, 10],\n [1, 4, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-6, -10, -3, 8, 3],\n [-1, 6, 10, 0, -2],\n [-4, -10, 2, -3, -4],\n [-7, 5, 3, -2, 6]]\nB =\n[[-5, -5, 5, 3],\n [3, -10, 1, 4],\n [3, -8, -9, -2],\n [-3, -2, -5, -4],\n [0, 9, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 10, -7, -8, 6],\n [10, 7, -9, -3, 4, -10],\n [-10, 0, 1, 9, -2, -4],\n [5, -5, -8, -8, 6, -9],\n [-6, 6, 3, 10, 1, 9],\n [1, -7, 7, -1, 10, 0]]\nB =\n[[-7, 0, -6, 9],\n [9, 1, 6, 9],\n [-8, -4, 0, 1],\n [-1, 10, 1, -7],\n [6, 2, 3, 6],\n [-9, -10, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, -4, 8, -8, -10],\n [-1, -3, -6, 8, 6, -7],\n [10, -3, 8, 5, -5, 2],\n [-2, 0, -4, -4, 10, 0]]\nB =\n[[3, -7, 5, 0],\n [9, -5, 0, 1],\n [1, 2, -3, 8],\n [3, -8, 7, 5],\n [-3, 3, -1, -10],\n [-3, 6, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 1, 10, 8],\n [-2, 0, 6, -1],\n [9, -4, -9, 9],\n [-10, -5, 6, -1],\n [-9, -1, 8, 6]]\nB =\n[[8, 2, 7, 8, 0, -3],\n [2, -7, -4, 8, 8, 10],\n [7, 8, 0, -2, 3, -4],\n [-9, 5, -6, -3, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-541", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 7, 1, 6, -5, -4],\n [-7, -6, 8, 0, 1, -10],\n [-5, 2, 9, -5, 0, 1],\n [4, 9, 6, 0, 10, 6]]\nB =\n[[2, -8, -6, -7, 3],\n [-1, 3, 1, -1, -1],\n [-9, -10, -7, 5, 4],\n [-3, -4, -3, 8, 2],\n [-10, -10, -3, -7, 6],\n [9, -4, -4, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-4, 2, -2, 9],\n [9, -5, -2, -8],\n [0, 5, 1, -7],\n [8, 10, -7, -10]]\nB =\n[[-10, -2, 10, -10],\n [6, -1, -9, -8],\n [7, 4, -2, 9],\n [2, 4, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -4, 8, -10],\n [-8, -1, 7, -5],\n [-1, 5, 8, 4],\n [8, -9, 2, 6]]\nB =\n[[6, -5, 1, -9, 5],\n [-9, -1, -5, -3, 5],\n [-8, -4, -10, -6, 5],\n [-9, -1, 1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-493", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -5, 5, 1, 3],\n [2, -6, 1, 8, -1],\n [9, 0, 9, -1, 2],\n [-10, 10, 3, -5, -5],\n [9, -2, 8, 1, -4],\n [9, -4, 2, 4, -2]]\nB =\n[[-6, 8, 8, -10, 2],\n [6, 0, 10, 0, -8],\n [8, -9, 4, 4, -6],\n [2, -10, -7, 10, -8],\n [-7, 7, -8, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[1, -6, 6, -2, 7, -4],\n [4, 4, 7, 5, -9, 4],\n [5, -10, 7, 9, -10, 5],\n [-5, -3, -8, 4, -5, 6],\n [-1, 7, -10, -2, 3, 4],\n [-8, -3, -2, 6, 8, 2]]\nB =\n[[4, -6, 7, 8],\n [-10, 5, 5, 10],\n [6, 0, -6, 4],\n [3, -9, 7, -1],\n [-8, -10, 5, 0],\n [-5, 9, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, 2, -2],\n [-9, 5, -2, -3],\n [2, 2, 8, 3],\n [-7, 7, -3, 6]]\nB =\n[[-1, -1, 9, 8, -8],\n [-5, 2, -1, -2, -6],\n [-2, -10, 5, -6, -9],\n [-6, 6, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 6, 7, 2, 3],\n [-7, -2, -3, -7, -10],\n [1, 0, 4, 3, 9],\n [-10, -7, 8, -4, 8]]\nB =\n[[5, 4, -6, -6, -1],\n [-7, -8, 1, -10, -3],\n [10, 5, 3, 0, -3],\n [-6, 0, -1, -10, -7],\n [3, -3, -9, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-9, -3, 1, 3, 7, -1],\n [8, -10, 1, 5, 5, -1],\n [5, -6, 6, 8, -1, -10],\n [-7, 10, -10, 10, 7, 10],\n [-2, 6, -5, 10, 6, -2],\n [9, -10, -2, -1, -2, 3]]\nB =\n[[10, 10, 9, -2, 3],\n [3, 0, -8, 7, -7],\n [-8, -8, 8, 3, 2],\n [-5, 5, 3, 0, 1],\n [0, -4, 3, -8, -9],\n [-9, 3, 9, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -7, -2, -3, 9],\n [8, 2, 2, -9, 1],\n [10, 4, -9, 9, -6],\n [-3, 6, -8, 0, 1],\n [-1, -10, -9, -4, 6],\n [3, 7, 5, 7, -1]]\nB =\n[[2, -10, 6, 0, -5, 6],\n [-4, 10, 3, -8, 8, 8],\n [3, 2, 0, 6, -10, -4],\n [-10, 10, 2, -5, -7, -4],\n [1, -8, 4, -6, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -8, -8, 1, -6],\n [8, -1, 1, 8, -7],\n [7, -4, -1, 3, 10],\n [-10, 1, 9, 10, -6],\n [-9, 2, -4, -3, 1]]\nB =\n[[8, 8, -9, -7, 8, -3],\n [2, 10, -5, -2, 1, 5],\n [-1, -10, -2, -9, 6, 10],\n [6, -5, -9, -1, 10, -8],\n [-4, -6, -1, 8, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, -3, 7, -8],\n [-7, -7, 8, -2, 10],\n [10, 0, -5, 6, -8],\n [-1, -10, 10, 5, -1]]\nB =\n[[4, -9, -9, -10, 10],\n [-2, 8, -7, -4, 6],\n [2, 0, -2, -7, 1],\n [-10, 0, -1, 4, 6],\n [-5, -1, 4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-218", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 7, 10, 5, -1],\n [-2, -1, -3, -1, 7],\n [-2, 4, -6, 8, -1],\n [-4, 0, -4, 4, 9],\n [0, -5, -7, -2, -2]]\nB =\n[[-5, 4, -10, 2, -1],\n [5, -4, -3, 0, -5],\n [10, 4, -4, -3, -2],\n [2, -6, 9, -10, 5],\n [7, -6, 8, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -8, 8, -5, -2, -2],\n [0, 2, 7, 5, 0, 7],\n [7, 5, 6, -6, 8, -5],\n [2, 6, -10, -7, 10, 4],\n [6, 4, -5, 5, 0, 3],\n [8, 3, -3, 10, 7, 0]]\nB =\n[[8, -6, -1, -5],\n [-5, 0, 6, 9],\n [1, 8, -2, 0],\n [5, -7, 9, 6],\n [7, -1, -8, 5],\n [10, 2, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-4, 1, 1, 6],\n [-10, 1, -5, -6],\n [-8, -8, -3, -8],\n [7, 0, -9, -5],\n [-8, 4, -1, -3]]\nB =\n[[3, 1, 3, -7],\n [3, -8, -1, -3],\n [-6, 1, 0, -4],\n [6, 2, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -9, -3, 10, 9],\n [-1, 2, 2, 0, 7],\n [-2, 9, 2, 8, 5],\n [-6, 10, -2, -9, 10],\n [-8, 4, 5, 0, 7]]\nB =\n[[-2, -8, 3, 8, -6, -5],\n [1, -9, -8, -5, -7, -3],\n [2, 1, -1, -8, 3, -8],\n [0, 1, -4, -8, -2, 9],\n [2, -4, 2, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 6, 9, 9],\n [-6, -8, 1, 4],\n [10, -4, 1, -8],\n [-10, -1, 7, -1],\n [-4, 9, 10, -6],\n [1, 0, -9, 10]]\nB =\n[[-3, 6, -3, -8, -9, -7],\n [-2, -5, -3, 3, -4, -7],\n [6, 4, -9, 9, -4, 8],\n [5, 1, -3, 4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 1, 5, 6, -8, -7],\n [8, -8, -1, 6, 5, -10],\n [-4, -4, 0, -9, 7, -9],\n [-10, -9, -1, -2, 4, -9]]\nB =\n[[-7, 9, 10, 9, -1],\n [6, -2, 9, 1, 4],\n [-2, 10, -6, -5, -6],\n [6, -10, 2, 3, -1],\n [-1, -6, 1, 9, -6],\n [7, 3, -9, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-671", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 4, 5, -1, 0],\n [5, -9, 10, -10, 2],\n [10, -1, -7, 3, 8],\n [8, -5, 9, 6, -9],\n [-4, -8, 0, 3, -3],\n [2, 8, -4, -10, -1]]\nB =\n[[1, 5, -9, 0, -6],\n [-1, 2, -2, 0, 8],\n [-2, -7, -5, 8, 8],\n [10, 5, -4, -7, -2],\n [1, -10, -3, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, -4, 7],\n [-1, -10, 9, -3],\n [-3, 0, 4, -8],\n [-3, -7, -10, -10],\n [-5, -5, 0, 9]]\nB =\n[[-7, 4, 4, 4, -3, 7],\n [-1, 9, -10, 1, -7, -9],\n [10, 3, -6, -1, 7, -8],\n [9, 5, 8, 9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -5, -4],\n [-1, 8, -10, 10],\n [-7, 7, -7, -5],\n [-1, -8, -8, 5],\n [-8, -6, -4, 4],\n [2, -7, -5, -7]]\nB =\n[[-4, -4, -6, 3, -1],\n [10, 4, -9, -1, -10],\n [-1, -9, -9, -8, -9],\n [-10, -8, -8, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[2, 8, -3, 10, 2, 8],\n [-9, -5, -9, -4, 6, 2],\n [-6, 3, 4, 2, -5, 6],\n [-3, -3, -2, 1, 6, -4],\n [-2, -3, 9, -1, 8, -7],\n [6, -1, -6, 2, 1, 5]]\nB =\n[[-8, 3, -6, 3, -4, -7],\n [-6, 8, 7, 10, 10, 8],\n [6, 5, -3, -2, 6, 0],\n [0, 2, -1, -7, -1, 10],\n [6, 1, 3, -8, 9, -3],\n [2, -2, 6, -8, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -2, -5, 5, -8, -10],\n [-5, 3, 4, -5, 0, -2],\n [-7, -10, 4, -7, -10, -5],\n [-3, -2, -5, -3, 0, 3],\n [1, -10, 3, 6, 10, 6]]\nB =\n[[-8, 8, 8, -4, -4, -4],\n [6, 9, 10, -3, 8, 1],\n [4, -9, 8, 2, -8, -5],\n [-10, 9, 6, -1, -3, -10],\n [2, -8, 2, -2, 7, -3],\n [3, 4, -7, 2, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2249", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -7, -6, -1],\n [-4, -5, 10, -5],\n [-9, 10, -2, -2],\n [-6, -3, 8, 5],\n [-8, -8, -1, 4],\n [-2, 9, 9, 6]]\nB =\n[[2, -9, -3, -5],\n [4, -9, -7, 9],\n [-9, -3, 5, -9],\n [0, 5, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 1, 7, -10, 2, -8],\n [7, -6, 3, 2, 4, 2],\n [5, 2, 2, 0, 0, -2],\n [-9, 10, 2, -10, -2, 1]]\nB =\n[[-6, -7, 9, 7, -6],\n [-2, -6, 1, -4, -10],\n [-5, 3, -7, 3, 4],\n [8, 4, 10, 0, 10],\n [0, 6, -2, -10, 10],\n [5, 7, 4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-769", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -2, 3, 6, -6, -5],\n [-3, 0, 6, -3, 4, 6],\n [-5, -6, -2, -4, 0, -5],\n [1, 1, 5, 7, 7, 5]]\nB =\n[[9, 10, 6, -4, 10],\n [-2, 0, 7, 5, 2],\n [-10, -3, 10, -2, 6],\n [-5, 10, 5, -8, -5],\n [-4, -1, 6, -10, 8],\n [3, -10, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-355", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 3, -1, -4, 7, 4],\n [-5, 1, 6, -5, 1, -9],\n [7, -1, -4, -8, -4, 9],\n [5, -6, 8, -10, -5, 5]]\nB =\n[[-1, 1, 8, 9, -8],\n [5, 8, -6, 10, 3],\n [-9, 0, -6, -3, 6],\n [9, 10, -1, 1, -5],\n [-8, -7, -5, -5, 6],\n [2, -8, -10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1072", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, 6, 7, 0, 2],\n [4, 0, -7, -9, 7, 7],\n [-9, -8, -10, 3, -9, -2],\n [4, -1, -4, 8, 5, 5]]\nB =\n[[-2, 9, -8, 8],\n [2, -8, -1, -9],\n [-3, 6, 2, -4],\n [-10, -7, -4, -2],\n [7, -9, -3, -8],\n [-8, -6, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -6, 9, 8],\n [-3, 1, 9, -2],\n [2, -8, 2, -10],\n [-9, 8, 6, -1]]\nB =\n[[-4, -7, 4, -7, 0, -10],\n [10, 4, 8, -3, 7, -8],\n [-7, 5, 4, 10, 10, -7],\n [9, 6, -5, -5, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 3, 3, 10, 10],\n [9, 5, -3, -2, 2],\n [-10, -9, 7, 2, -1],\n [5, 9, -9, -9, 4],\n [-5, -8, 10, 5, -6]]\nB =\n[[-3, 1, 0, 8, -4],\n [8, -2, 8, -3, 6],\n [7, -2, 2, 7, -4],\n [3, 7, 4, -9, 3],\n [-6, -6, -7, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 9, 6, -4],\n [-2, 0, 8, -3],\n [-2, -7, -2, 5],\n [-9, 1, 6, -3],\n [1, 5, 9, -2],\n [2, 5, -2, -1]]\nB =\n[[-9, -3, 3, -1],\n [2, -3, 6, -6],\n [4, -8, -2, 7],\n [6, 8, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[9, 5, -1, 3, -1],\n [-1, -5, 8, 4, 8],\n [1, -7, -7, -10, -5],\n [-6, -10, -3, -1, 1],\n [9, 2, 8, 2, 6],\n [2, -5, 8, 1, -6]]\nB =\n[[9, -10, -10, 6, -5, 2],\n [3, 0, 7, -5, 4, -6],\n [9, 5, -3, -1, -5, -5],\n [7, -7, 6, -6, 5, -1],\n [3, 1, -8, 8, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -6, -2, 4],\n [4, -5, 5, 10],\n [-6, -1, 2, 5],\n [1, 3, 9, 1],\n [-4, 10, 8, 8],\n [-7, -3, 7, -3]]\nB =\n[[-3, 9, 6, -6],\n [5, -6, 9, -4],\n [4, -2, 8, 10],\n [9, 8, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -5, 5, 8, 3],\n [-2, 1, -1, -5, -6],\n [-6, 3, 9, 8, 1],\n [8, 4, 8, 0, -4],\n [-10, -10, -10, 2, 10]]\nB =\n[[8, 0, -1, -6, 4],\n [7, 8, 7, 8, 7],\n [9, 5, -2, -3, -8],\n [-6, -1, 10, -3, -4],\n [-8, -2, -7, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-493", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[8, 1, -1, -8],\n [0, 4, -7, -7],\n [4, 10, 5, -6],\n [7, 4, -9, 6],\n [-1, -4, 6, 10],\n [10, 2, -6, -3]]\nB =\n[[2, 8, 8, -9, 10, -6],\n [-3, -1, 0, 3, -1, 9],\n [4, -7, 10, 2, -2, 1],\n [10, -7, -1, -9, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 9, 1, -6, -7, 6],\n [7, -2, -8, 4, 8, 4],\n [3, 9, -6, -5, -8, -10],\n [-3, 5, -9, 9, 8, 3],\n [10, -1, 10, 8, -9, 2],\n [-6, -10, -4, 3, -6, -1]]\nB =\n[[-10, -8, 10, 4],\n [0, 10, -8, 5],\n [5, -4, -7, 9],\n [10, -3, 10, -5],\n [9, 2, 8, 7],\n [-8, 8, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2274", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 8, 2, -3, 6],\n [10, -3, -10, 8, -9],\n [-9, -7, -2, -10, 2],\n [4, -7, -1, 10, -2],\n [-4, 4, -10, 10, 10]]\nB =\n[[0, -7, -7, 9],\n [7, -8, 6, 3],\n [4, 2, 9, -4],\n [-7, 4, 7, -6],\n [-3, 8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 2, -5, 0],\n [7, 0, 4, -8],\n [-9, -7, 9, -2],\n [-1, 4, 5, -2],\n [-2, 7, -3, -9],\n [-6, -7, 5, 5]]\nB =\n[[-7, 8, 4, 8, 7, -7],\n [5, 0, -3, 5, -1, 9],\n [-3, -2, 1, 4, -5, -3],\n [-5, -8, 8, 3, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1744", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -10, 1, 7, -3],\n [-5, 3, 3, 6, -2],\n [6, 7, 2, 2, 4],\n [-7, -2, -9, 1, -9],\n [-5, 4, -1, -8, 5],\n [-8, 7, 6, -2, -4]]\nB =\n[[-9, 3, -3, -4, -4, 8],\n [-10, -10, 0, -3, -4, -10],\n [-9, 10, 7, 6, -8, 1],\n [-4, -9, -3, -5, 8, 7],\n [0, 8, -8, -1, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2043", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, 7, -1, 5],\n [10, 0, -8, 0, -4],\n [2, 0, 8, 5, -5],\n [-9, -9, 3, 4, 3]]\nB =\n[[-9, 6, -5, -2, 10, -9],\n [-6, -7, -5, -2, -4, -4],\n [-8, 2, 7, 3, -9, -4],\n [-1, -7, -7, 1, -9, -10],\n [4, 5, 4, 9, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -4, 9, 5, -1],\n [-8, 7, 6, 5, -2],\n [-7, 4, 5, 4, -5],\n [10, 1, 3, -1, -3]]\nB =\n[[5, -9, -6, -10, -3, 5],\n [0, -7, 1, -10, 4, 9],\n [-1, -5, -8, 10, -1, 8],\n [-5, 5, 3, 4, 3, 7],\n [6, 3, -4, 10, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, 8, 5],\n [-2, -7, 5, 4],\n [-4, 8, 6, -10],\n [10, -6, -9, -4],\n [7, -2, 6, 7],\n [2, 9, -2, 5]]\nB =\n[[-5, 4, 6, 3],\n [-2, 10, 8, -6],\n [1, 7, -8, -6],\n [7, -6, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -1, -6, 2, -9],\n [8, 9, 7, 0, -1],\n [5, -1, 2, 4, 10],\n [3, -7, -5, 2, -7],\n [-9, -1, 10, -9, -9],\n [-7, -7, 4, 6, -2]]\nB =\n[[-9, -10, -5, 9, -8],\n [0, 10, 10, -9, -4],\n [0, 1, 8, 8, -7],\n [-10, -5, 1, -3, 10],\n [10, -1, 3, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[-4, -7, -3, 2],\n [-3, -4, -2, 5],\n [-7, 0, 1, 0],\n [-6, 6, 10, -9],\n [-10, 5, 7, -9],\n [4, 10, -6, -6]]\nB =\n[[10, -8, 3, -3],\n [-10, 0, 4, 7],\n [6, 6, -6, -10],\n [-5, 8, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -2, -10, 10, -4],\n [3, 7, -10, 5, 2],\n [-2, -8, 9, -6, 6],\n [1, -10, 4, 8, -1],\n [-10, -6, -7, -6, -9]]\nB =\n[[-6, 9, 1, 1, 8, -6],\n [1, -5, 5, 4, -4, -3],\n [8, 3, -3, -7, -1, -9],\n [-1, -4, 6, 10, 5, 7],\n [-1, 6, -1, 6, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 6, -8, 9, -10, -5],\n [6, 8, 4, -5, 3, 10],\n [-7, -10, 4, 10, -8, -4],\n [2, -9, -4, -8, 7, -4],\n [5, 1, 0, 3, -9, 6],\n [-3, 10, 5, -8, -6, 9]]\nB =\n[[-1, -5, -5, 0],\n [-2, 8, 3, 9],\n [6, -10, 4, 0],\n [-5, 6, -8, -6],\n [2, 1, 9, -8],\n [-10, 4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -9, 4, -5],\n [-7, 0, 8, -5],\n [3, 9, 2, -6],\n [-8, -4, 4, -1]]\nB =\n[[-6, 4, -1, 4, 3, -8],\n [-8, -8, -10, 6, 5, 10],\n [-9, -7, -1, -7, 9, -5],\n [2, 9, -10, 2, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-8, 10, -10, 1, 0, -6],\n [-3, -9, 3, -7, -4, -5],\n [-1, 0, -3, 1, 4, -8],\n [0, 2, -3, 8, -2, -3]]\nB =\n[[3, -7, 0, -9, 2],\n [4, 7, 0, -3, -10],\n [-2, 5, 1, -10, -4],\n [-9, 1, 0, 9, 1],\n [7, -9, 8, 5, -6],\n [2, -2, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-3, -9, -3, -10],\n [-8, -3, -4, -4],\n [-9, 4, -2, 9],\n [5, 8, -5, -1],\n [-2, 4, 7, -6]]\nB =\n[[6, 1, 2, 6, -1, -10],\n [3, 10, 4, 7, 3, 7],\n [-3, -9, 7, 10, -9, 5],\n [-4, -6, 10, 2, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 1, -4, -6, 3],\n [-1, 6, 10, 5, -2],\n [-4, -6, 3, 8, 4],\n [-7, -8, -10, -3, 6]]\nB =\n[[-9, 7, 7, 1],\n [2, 8, -6, -7],\n [5, -10, -8, 1],\n [-8, -4, -3, 3],\n [1, -6, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 0, 9, 2, 9, -2],\n [0, 10, -9, -3, -3, 4],\n [5, 5, -6, 5, 4, -6],\n [-1, -9, -10, -1, 0, -7],\n [4, -6, 8, -5, 6, 3],\n [-7, -5, -4, -9, -4, -3]]\nB =\n[[9, 9, 5, -9],\n [-6, 3, 1, 6],\n [-7, 1, 9, 3],\n [0, -3, -5, 5],\n [-3, -4, -4, 5],\n [-10, -6, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -1, 6, 6],\n [0, -2, 9, -3],\n [-10, 3, -9, -2],\n [10, 1, 8, -4]]\nB =\n[[10, -3, 10, 6, -8],\n [-7, -5, 7, -3, 4],\n [3, 6, -8, -6, -8],\n [-3, -10, 0, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, 4, -6],\n [8, -6, 0, 1],\n [8, 4, -3, -3],\n [-5, -9, 0, -4]]\nB =\n[[1, -7, 2, 1, 2, -2],\n [-5, 9, 3, 1, -2, 0],\n [-5, 10, -8, -3, 4, 7],\n [9, -5, 8, 5, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-382", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 9, 3, -8],\n [3, -3, -5, 5],\n [-2, -7, -10, -3],\n [7, 7, -6, 0]]\nB =\n[[-5, -8, 9, 3, -8],\n [-7, 9, -7, -3, -9],\n [3, -8, -8, -10, 9],\n [1, 6, 2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[0, 7, 6, 10],\n [-2, 10, 7, 3],\n [6, 4, -3, -3],\n [1, -3, 10, 10],\n [-7, 9, 4, 8]]\nB =\n[[-5, -2, -5, 8, 10],\n [-8, 3, -7, -5, -2],\n [-4, -3, 3, 9, -6],\n [5, -3, 7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 1, -1, 3, -3],\n [7, 8, 7, -6, 3],\n [2, -10, 1, 7, -9],\n [-3, 3, 1, 10, 0],\n [-10, 7, 10, 1, 4]]\nB =\n[[-3, 10, -6, -5, -6],\n [4, 4, -7, -5, -8],\n [1, -5, -8, 3, -2],\n [1, -8, 7, 0, -10],\n [10, 9, 8, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-636", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, -5, -5, 7, 4, -5],\n [-7, -9, 1, -10, 1, 0],\n [-6, 4, 5, -5, -1, -3],\n [10, -10, 2, -9, 8, -10]]\nB =\n[[8, -6, 0, -3],\n [-8, -6, 10, -4],\n [5, 10, -10, -4],\n [9, -10, -8, 10],\n [0, -4, -2, -8],\n [-9, -10, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, -10, -8],\n [-9, -9, 6, -7],\n [-1, 4, -9, -10],\n [-8, -5, -7, -4],\n [6, 0, 5, 8]]\nB =\n[[10, -8, -5, 1],\n [4, 0, 6, 7],\n [0, -2, -8, -8],\n [-4, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 2, -9, 5],\n [8, 9, -10, -7, 0],\n [-9, -9, -2, -7, -4],\n [-5, -1, 3, -4, 6]]\nB =\n[[7, 5, 5, -2],\n [-10, -10, -8, -6],\n [9, 6, -9, -10],\n [-4, 6, -3, 0],\n [1, 10, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -5, 8, -2],\n [-9, 7, -1, -9],\n [3, 7, -9, -10],\n [8, 7, 3, 9],\n [-4, -8, 1, -8],\n [3, 5, -6, 0]]\nB =\n[[2, -10, -6, -9],\n [9, 4, 8, -8],\n [-4, 4, -9, 6],\n [-8, -3, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -7, -3, -8],\n [8, 3, -9, 9],\n [-3, -3, 0, 10],\n [-2, 3, -7, 0],\n [7, 8, -2, 3],\n [-10, 4, -6, -3]]\nB =\n[[0, -10, 8, -3, 2],\n [0, -10, -7, 5, -10],\n [-7, 7, 8, -2, -7],\n [-4, -5, 7, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -5, -9, 4],\n [-1, -4, 4, -3],\n [-6, 2, -10, -7],\n [8, 6, -1, -10]]\nB =\n[[-8, 9, -2, -7, -2, 6],\n [-6, 1, 3, -4, 2, -4],\n [-8, -3, 10, -3, -3, 3],\n [0, 4, -9, -9, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, -6, 0],\n [-7, -8, 5, -4],\n [-9, -5, 10, 8],\n [-10, -10, -9, 4],\n [-4, 10, -6, 4],\n [-9, 9, 3, -2]]\nB =\n[[6, -7, -4, -3],\n [-4, 7, 8, -9],\n [3, 5, -3, 10],\n [-8, 0, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, -2, -7, 1],\n [-8, 8, -9, -6, -1],\n [-8, 1, 6, 2, -5],\n [6, -10, -7, -3, -2]]\nB =\n[[0, 10, -6, -1],\n [-1, -6, 8, 9],\n [2, -10, -7, 3],\n [-2, 2, -2, -3],\n [2, -2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[3, -1, -5, 10],\n [9, 3, -7, -3],\n [0, -1, 8, 0],\n [-8, -5, 8, -4]]\nB =\n[[3, -8, -9, -5],\n [-7, 4, -7, -9],\n [-3, 4, 10, -6],\n [4, -2, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 6, 2, 9],\n [1, -3, 7, 8],\n [-6, -6, -3, -9],\n [-4, -3, -1, -9],\n [-3, 7, 9, -9],\n [8, -9, -6, 8]]\nB =\n[[5, 2, -8, 5, 5],\n [-5, 1, -9, -1, 7],\n [8, 3, -2, -5, -2],\n [-6, 9, 1, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1984", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, 6, 3, -9],\n [3, -8, -8, -2],\n [-1, 10, -5, -2],\n [8, 3, -9, 6]]\nB =\n[[10, -9, -5, -5],\n [4, 8, -6, 0],\n [-4, 9, 10, -6],\n [5, -8, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -1, 7, -3, -6],\n [-10, 10, -5, -7, -2],\n [6, -9, -6, 10, -1],\n [-5, -9, 6, -4, -9]]\nB =\n[[7, 4, 6, -4, 8, 1],\n [5, -10, 1, 8, 9, 0],\n [-1, 7, -5, -6, -2, 5],\n [7, 7, 10, 6, 6, -2],\n [5, 4, -4, 3, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-923", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 6, 7, -8, 1],\n [6, -4, -6, -2, 2, -10],\n [-7, -7, -6, 4, -9, -3],\n [3, -10, -9, 5, 10, 3],\n [-2, -10, 0, 4, 4, -9],\n [-10, 2, 5, -10, 9, 10]]\nB =\n[[3, 0, -4, 10, 3],\n [1, 5, -2, -10, -6],\n [2, 9, -1, -4, 1],\n [-7, 7, -5, 6, 0],\n [-7, 4, -8, 3, 2],\n [1, 10, 9, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -5, 3, -7, -9, 0],\n [-5, -9, 0, 4, 0, 2],\n [-2, -10, 2, 7, 2, 3],\n [0, 10, -4, -10, -6, 3]]\nB =\n[[-10, 0, 10, 6],\n [9, -1, -3, -5],\n [3, 2, -7, 8],\n [3, 0, 5, -5],\n [-4, 0, 5, 3],\n [0, 1, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, 0, -3],\n [10, -3, 6, 9],\n [-5, 9, 2, 0],\n [-4, -6, -9, -3],\n [7, -3, 9, 0],\n [3, 7, 10, -7]]\nB =\n[[1, -1, -5, -3],\n [7, 6, 5, -9],\n [6, -8, 5, -7],\n [-9, 7, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -5, -8, -9],\n [-4, 5, 8, -3],\n [4, 6, -1, -10],\n [-2, -3, -7, 6]]\nB =\n[[-1, -7, -1, -7, -5, 2],\n [-2, 1, -3, 5, -2, -6],\n [-3, 7, -1, 3, -3, -10],\n [5, 4, -5, 2, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -8, -1, -3],\n [-5, -3, -3, -7],\n [0, -5, -8, -8],\n [8, 1, -5, 7]]\nB =\n[[-1, 1, -7, 4, 7],\n [8, -9, 9, -1, -7],\n [7, -7, 6, 6, -9],\n [2, 2, -1, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, -8, -4],\n [8, 1, 9, -7],\n [-6, 7, -7, -4],\n [-10, 5, 3, 0],\n [5, -10, 9, 1],\n [-3, -10, 8, 4]]\nB =\n[[-2, 1, 10, 4],\n [-6, -7, -3, 0],\n [-9, 0, 2, -5],\n [7, 2, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 4, 10, 4, -6, 2],\n [-3, -6, 2, -2, -4, 10],\n [10, 0, 10, 2, 2, 0],\n [9, 5, 9, -3, 4, 6],\n [3, -6, 7, 10, 4, 4]]\nB =\n[[3, 0, 7, 1, 8, -1],\n [-1, -10, 6, 10, 8, 10],\n [10, 0, 0, -4, 8, 4],\n [8, -7, -9, 4, 6, -10],\n [9, 0, 6, -9, -6, 8],\n [-3, -1, -8, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2555", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 4, 5, 7],\n [-2, 9, -2, -1],\n [-3, -3, 9, 10],\n [9, -10, -2, -7]]\nB =\n[[-4, -10, -7, 5, 7, 2],\n [-3, 2, -1, 2, 1, 2],\n [-1, -9, -9, -5, -6, -5],\n [-8, 7, 7, -9, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -5, 2, 7, -4, -10],\n [5, 10, 4, 5, 2, 8],\n [3, 8, -7, 7, 10, 10],\n [-8, 2, 9, 7, -9, 1]]\nB =\n[[1, 4, -6, 2, 10, -8],\n [2, 2, 4, 10, -4, -7],\n [9, 1, 10, -6, 2, -3],\n [-7, -2, 5, 0, 5, 1],\n [10, -7, 0, 6, -8, 1],\n [3, -10, -5, -4, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-5, -7, -1, 0],\n [10, 3, 2, -7],\n [-7, -4, 4, -10],\n [8, 0, -7, 6],\n [7, -3, -9, 2]]\nB =\n[[-3, -8, -9, -5, -9, 5],\n [-2, -2, 7, 6, 9, -4],\n [5, -9, -1, -10, 10, 5],\n [7, 8, -4, -7, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -4, 7, 7, -3, -1],\n [-5, -7, -10, -8, 1, 9],\n [-3, 0, 9, 2, 4, 0],\n [-8, 7, 10, -5, -8, -10],\n [-6, 5, -2, 7, 6, 7]]\nB =\n[[-7, -10, 9, -9, -4, 2],\n [9, 10, -10, -8, -5, 5],\n [-10, -5, -7, 0, 5, 9],\n [9, -1, -7, -2, -3, -4],\n [9, 1, 9, -2, -8, 3],\n [-8, 8, 10, -10, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2603", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 8, -9],\n [-9, -6, -8, 6],\n [6, 7, -6, 8],\n [0, -7, 8, -6],\n [-8, -7, -9, 4],\n [8, 6, 7, 7]]\nB =\n[[7, 8, 0, 5, 9],\n [2, -2, 7, 1, 5],\n [1, -4, 8, 3, 3],\n [-2, 5, -10, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -1, -9, 1, 3],\n [4, 3, -8, -9, 0],\n [6, 5, 6, 5, 1],\n [0, 4, 1, -10, -10]]\nB =\n[[-3, -2, 2, -4],\n [-8, -9, 3, 10],\n [-4, 7, 2, 2],\n [-10, -9, -9, 5],\n [-1, 10, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -2, -10, -7, -4],\n [4, 5, -8, -10, 8],\n [0, -9, -2, -3, 7],\n [-7, 6, 8, -2, -6],\n [-2, 5, 3, -10, 5],\n [2, 8, -10, 0, 10]]\nB =\n[[7, 7, 9, 1, 8],\n [10, 7, 1, 5, -5],\n [6, 10, -7, 9, 1],\n [-3, -8, -4, 5, -6],\n [0, 2, 8, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 3, 5, 10],\n [-1, -7, 8, 9, -8],\n [9, 9, 3, -6, 7],\n [-5, 6, -2, 0, -8]]\nB =\n[[-5, 8, -3, 3, -5],\n [10, -2, -2, 3, 6],\n [-2, -1, -10, 9, -10],\n [8, -1, 5, 10, -4],\n [-1, 4, 10, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, 2, -4, 1, 2],\n [0, 8, 7, -10, -4, -6],\n [6, -9, -2, 3, 2, -3],\n [2, -4, -2, -2, 4, -9]]\nB =\n[[-10, -6, 8, 6],\n [4, 5, 4, -5],\n [-6, 6, -4, 4],\n [-7, -3, 2, 1],\n [9, -9, 6, 6],\n [-8, -2, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1033", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-8, -2, -7, 9, -8],\n [-6, -10, 9, 6, -9],\n [-7, 3, -5, -5, 7],\n [-8, 7, -9, 0, -1],\n [-4, 2, -4, 1, 6],\n [1, -3, -4, 10, -4]]\nB =\n[[5, -2, 9, -3, 1],\n [3, -1, -7, -5, -2],\n [9, 9, 5, 1, -2],\n [-9, 9, -2, -2, 6],\n [10, -4, -1, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, -4, -2, -2],\n [-7, -5, -9, 9],\n [-1, 9, -2, -5],\n [-9, 7, 6, 5],\n [3, 1, -10, 9]]\nB =\n[[-9, -1, 1, -5, 7],\n [10, 2, 2, -6, -4],\n [10, 6, 10, -7, 9],\n [-1, 10, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 7, 6, -1, 1, -4],\n [9, -9, 6, 3, -6, 9],\n [-2, -2, 6, 5, 7, -1],\n [0, -2, -9, 9, -6, -9],\n [-2, -3, -4, 8, -2, 7],\n [-3, 9, 2, 2, 8, 10]]\nB =\n[[1, -6, -1, -6],\n [-8, -4, -9, -4],\n [7, 4, 1, 8],\n [0, 7, 3, -7],\n [6, 6, 9, 6],\n [9, 0, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1678", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 1, 8, -9, 1, -5],\n [-9, -9, 9, -9, 2, -8],\n [2, 1, 4, 9, 8, -2],\n [6, -5, -1, -6, -6, -7],\n [-7, -7, 9, -1, -4, -3]]\nB =\n[[3, 1, 10, 1, 9],\n [-6, -7, 8, 8, -2],\n [3, -1, 4, 3, 0],\n [-9, 8, 1, -6, -2],\n [-10, -9, -5, 8, -2],\n [8, -8, -3, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[9, -1, -4, 7, -3, 7],\n [0, 10, 10, 1, -1, 2],\n [-7, 5, 0, 10, 1, -7],\n [8, 0, 2, 8, -8, -7],\n [3, -3, 4, -1, -1, -10],\n [9, 1, 9, -7, -6, -9]]\nB =\n[[2, -5, 10, 10, 9],\n [-7, 5, -9, -2, -4],\n [-4, -10, 7, 5, -6],\n [2, 1, 6, -10, 1],\n [-9, -1, -9, 3, 8],\n [-8, 5, -9, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 1, 9, -2],\n [1, -10, 7, 5],\n [1, 7, 10, 9],\n [3, -7, 7, -7],\n [2, -1, 1, -7],\n [-10, 10, -1, -6]]\nB =\n[[-5, -4, 2, -2, -7, -6],\n [0, -4, 0, 6, -2, 7],\n [-1, 10, -10, 2, 6, -4],\n [6, 5, 5, 3, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, 6, -7, -4],\n [4, -2, 0, 3],\n [7, -10, 4, 5],\n [2, -3, 4, -1],\n [7, -3, -7, 10],\n [2, 2, 0, -1]]\nB =\n[[3, -2, 10, -2, 2, -7],\n [-5, -6, -9, 8, 3, -9],\n [-6, 8, 2, -7, -8, -5],\n [10, 9, 5, -6, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -3, -5, 5, -5, -10],\n [10, 5, -6, -10, -3, 1],\n [-1, 1, -2, -8, -3, -1],\n [-9, 3, 9, -10, 5, 4]]\nB =\n[[-8, -10, 7, -1, -4],\n [-9, 6, 8, -5, -10],\n [8, -5, 1, 5, -10],\n [-8, 6, -3, -3, 5],\n [-8, 9, 7, -1, 3],\n [-1, 1, 10, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-5, 3, -5, -5],\n [0, -7, 6, 4],\n [-1, -1, 3, 7],\n [-10, 2, -8, 2]]\nB =\n[[8, -4, 7, 4, -8],\n [-7, 3, -3, -6, 8],\n [-7, -1, 7, -10, -1],\n [-9, 4, 8, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 3, -2, -5, -1],\n [2, -7, 9, -9, -8],\n [8, 1, 9, -8, 10],\n [6, 9, -5, -3, -8],\n [9, 3, 1, -10, -6],\n [8, -6, 6, 6, 6]]\nB =\n[[1, 9, -2, -4],\n [1, 0, 2, 8],\n [2, -5, 9, -8],\n [7, 7, 8, -6],\n [3, -2, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-445", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 6, -1, 7, -9],\n [7, -6, 1, -3, -3],\n [4, 4, 6, 1, 5],\n [-1, -3, -10, 0, -1],\n [5, 8, -6, -5, 5]]\nB =\n[[9, 10, 10, 3, 3],\n [-3, 3, -1, -10, -10],\n [-6, 5, -8, -6, 7],\n [6, -10, 2, 1, 5],\n [-10, 4, -6, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1827", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, 5, -1, 0, -2],\n [4, -9, 6, -3, -4, -6],\n [8, -7, 7, -8, 6, 5],\n [1, -4, 4, 6, -4, 10],\n [10, 9, 1, 2, 6, 5],\n [8, -1, -7, 9, 3, 7]]\nB =\n[[3, 7, -4, 5, -5],\n [-9, -8, 5, 0, 5],\n [3, 6, 10, 6, 10],\n [5, 3, 5, -3, 8],\n [2, 2, -4, -9, -2],\n [-3, -7, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -1, -3, 4],\n [7, -4, -8, 7],\n [7, -4, 1, 1],\n [-5, 8, 6, 5]]\nB =\n[[-9, -9, -1, -10, -1],\n [-10, 9, 0, 2, 9],\n [0, 7, 5, 4, -3],\n [-5, -1, -2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 0, -7, -9, -5, 7],\n [-2, 9, 8, 1, 9, -1],\n [0, 4, -9, 10, 8, -8],\n [4, 7, 8, 1, -3, -2],\n [10, 7, 4, 5, 1, -4]]\nB =\n[[1, -10, 2, -7, 3],\n [-10, -2, 8, 9, 4],\n [4, -7, 9, -4, -10],\n [8, 2, 1, 10, 5],\n [0, 2, 6, -2, 2],\n [4, 9, -10, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -9, 2, -4, -10],\n [-3, 9, 5, 3, -1],\n [5, 2, 5, 2, 9],\n [-7, -7, 8, 4, -7]]\nB =\n[[0, -9, -2, 0],\n [-3, 7, -7, 1],\n [-2, -10, 4, 5],\n [-7, 10, 10, 6],\n [-3, -5, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -8, -5, -8],\n [3, 3, 9, 10],\n [-5, 9, -4, -10],\n [-2, 10, -5, -1]]\nB =\n[[5, -6, 0, -10, 1],\n [-8, 4, 8, -4, 0],\n [5, -3, 6, 7, 2],\n [4, -1, 3, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -5, -9, -5],\n [-4, 8, 2, 2],\n [-10, -7, 0, -1],\n [0, 3, 9, 6]]\nB =\n[[-9, -9, 10, 9],\n [-1, -3, -10, 8],\n [-7, -10, -7, 3],\n [-10, 0, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, -6, -3, 8, -10],\n [7, -7, -4, -10, 10, 4],\n [10, -5, -3, -1, 9, -7],\n [-9, 0, -4, -5, 10, -1],\n [4, 5, -4, 3, -10, 0]]\nB =\n[[-2, 9, -2, 3, 3, 10],\n [-6, 6, -3, -9, -3, 1],\n [7, 3, 10, 8, 9, 5],\n [-5, -6, 7, -7, -4, 1],\n [2, 8, -9, 1, -1, -4],\n [9, 6, -5, 8, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -6, -10, -8, -1, -10],\n [6, -6, -4, 5, -7, -9],\n [2, 8, -8, 1, 5, 6],\n [-1, 10, -10, 2, -3, 2],\n [-7, -6, -9, -8, 9, -5]]\nB =\n[[-1, 7, -2, 2, -5],\n [0, -5, 1, -3, 5],\n [-9, -6, 3, 10, -4],\n [0, 9, 2, 3, 6],\n [-5, 5, -6, -1, 6],\n [7, -3, 4, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1539", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 2, 7, -1, 3, 8],\n [1, 7, 0, -5, 8, -8],\n [-1, -4, 2, 8, -9, 10],\n [7, 1, 3, 10, 10, 7]]\nB =\n[[-9, -10, -7, -4, 6],\n [-9, 10, -1, 4, -9],\n [3, -9, 5, 7, -3],\n [6, -1, -1, 4, 8],\n [9, 0, -9, 7, 7],\n [-5, 4, 7, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[6, -3, 2, 2],\n [-10, 5, -1, 4],\n [-10, -5, 8, -3],\n [-6, 9, 8, 2]]\nB =\n[[-7, -4, -8, 2],\n [4, 6, -5, 1],\n [0, 3, -5, 4],\n [5, -8, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, -4, -1],\n [-1, 4, -1, 2],\n [-6, 5, 8, -10],\n [-2, 0, 5, -6],\n [-1, 7, 1, 0],\n [-9, 7, 8, -5]]\nB =\n[[-4, 7, 4, -9, 2, 3],\n [9, 2, 1, 10, -6, 1],\n [10, 6, -10, 5, 3, 4],\n [8, 8, 0, 8, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -6, 0, -10, -10],\n [-5, -7, 10, -10, -6],\n [-1, -10, 6, -1, 6],\n [0, 0, 6, 4, -3],\n [1, -9, 1, -7, 7]]\nB =\n[[-2, 2, -3, 6],\n [-8, 5, -8, -2],\n [-10, 8, 10, -3],\n [6, 2, -1, -9],\n [-4, 1, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[5, 7, -10, 8],\n [8, 10, 8, 7],\n [2, -8, 8, -8],\n [-4, 8, 0, 5]]\nB =\n[[1, -9, 3, -3, -9],\n [9, 1, 5, -2, -8],\n [9, 3, 1, 10, 3],\n [1, -9, -7, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 1, -2, -2],\n [0, 6, 6, -3],\n [-6, 3, -9, 3],\n [-5, -2, -1, 4],\n [6, 6, 0, -3]]\nB =\n[[-7, 7, 6, -2, 3],\n [6, 3, -7, 7, 3],\n [2, 6, 8, -6, -5],\n [0, 5, 10, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 6, -10, 7, -6, -7],\n [5, 3, 4, -8, -5, -9],\n [1, -5, 6, 3, -9, -3],\n [-7, 6, 0, -2, 4, 4],\n [10, 9, 7, 2, -4, 9]]\nB =\n[[-8, -6, 2, -3, -3],\n [6, 7, 7, 3, 5],\n [10, 2, 9, -10, -8],\n [6, -6, -3, 5, -10],\n [4, 10, 7, -10, -2],\n [7, -4, -5, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, -4, -1],\n [7, -3, -8, 6],\n [-10, -7, -2, -5],\n [-2, -6, -3, -1],\n [7, -7, 4, 3]]\nB =\n[[10, -9, -3, -7, -4],\n [1, -5, 9, 2, 7],\n [-4, 4, 3, 1, -7],\n [8, -1, -4, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 4, 1, -9],\n [-9, -7, 0, -2],\n [8, 0, 1, -8],\n [-5, -6, 2, -3],\n [-1, 4, -4, 3],\n [7, 8, 8, 3]]\nB =\n[[-7, 7, 9, -2],\n [6, 6, 7, -4],\n [6, 9, 3, -2],\n [6, 4, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, 2, 0],\n [10, -7, -2, -10],\n [-3, 3, 9, 3],\n [-8, -2, 5, 4]]\nB =\n[[-4, -9, -9, -6, -3],\n [-5, 4, -1, 3, 1],\n [7, -10, -1, -2, 6],\n [1, -4, 3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 3, -4, 0, -2],\n [-1, 5, 7, -9, -2],\n [-9, -7, -2, 3, 8],\n [-9, -4, 2, 0, -4],\n [-10, 1, -2, 1, 8]]\nB =\n[[2, -7, -1, 9, 4, 3],\n [10, 6, 6, -3, -8, 10],\n [-8, -1, 3, -9, -2, 1],\n [8, -7, 2, 2, -8, -8],\n [-6, -10, 8, -3, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 0, 6, -4, -3, 5],\n [4, 9, -5, 3, -4, -7],\n [1, 4, 8, -5, 6, 1],\n [-9, 4, -6, -5, 2, -4]]\nB =\n[[4, -1, 0, 8],\n [-10, -3, 5, -9],\n [-10, -9, 3, 1],\n [-9, 7, -7, 1],\n [-7, -2, 8, -8],\n [-2, 6, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-7, -8, 7, -5, -6, -3],\n [-8, -7, -3, 6, 8, -4],\n [-4, -8, -1, 5, -5, 9],\n [4, 8, 6, 6, -4, -7]]\nB =\n[[-5, 8, 3, -6],\n [-3, 0, -3, 7],\n [3, -4, 10, -10],\n [2, -1, 7, -3],\n [2, 3, -2, -10],\n [-9, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 2, -6, 3],\n [-7, -10, -7, -7],\n [8, -3, -5, 3],\n [0, -8, 3, 6],\n [6, 1, 2, -8]]\nB =\n[[-6, -5, 5, -3, 8],\n [3, 9, 3, -3, 0],\n [7, -7, -9, 5, -4],\n [2, 7, -10, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -4, 4],\n [-8, -5, -5, -1],\n [6, 8, -7, 5],\n [-4, 0, -5, 2],\n [3, 10, 5, 2]]\nB =\n[[2, -4, 9, 8],\n [3, -1, -10, 7],\n [-1, -5, 9, -2],\n [3, 2, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -9, 5, -8, 6],\n [10, -7, -9, 4, 10],\n [-2, -6, 4, 10, 10],\n [6, 3, -2, -6, 6],\n [2, 4, -3, 0, 0]]\nB =\n[[-3, -7, -6, -4, -6],\n [9, 4, 10, -2, -5],\n [-6, 0, 8, -6, 4],\n [-9, 2, 5, 0, 9],\n [0, -2, -10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1276", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 5, -9, 7, 0, -6],\n [-8, -10, 4, -8, -2, 4],\n [-5, 10, 6, 7, 5, -6],\n [-9, -8, -4, 1, 3, -4],\n [-2, -5, 10, -1, 9, -9]]\nB =\n[[-5, -10, -3, 3],\n [-3, 9, -1, -1],\n [-1, 8, -2, -9],\n [5, 8, -6, 1],\n [-6, 2, 9, -2],\n [2, 8, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 7, -4, 0, 0],\n [6, 5, -9, -9, -6],\n [0, -2, 3, -8, 7],\n [7, 9, -6, 8, 3],\n [5, -3, 6, -2, -6]]\nB =\n[[-9, -6, -10, 3, -2],\n [-5, 2, -9, -7, -4],\n [-3, 4, 1, -1, -1],\n [0, -7, -9, -6, -1],\n [5, -7, 9, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-349", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 6, -7],\n [-3, -10, 0, -10],\n [8, -9, 4, 8],\n [1, 1, -5, -9]]\nB =\n[[8, 0, -9, 5],\n [-3, -3, -4, -7],\n [8, 2, 4, -5],\n [-4, -8, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, -4, 0, -3, -10, -10],\n [1, 2, 2, -5, 3, -10],\n [-7, -2, 6, -6, -4, -9],\n [0, -7, 3, 1, 3, -3],\n [2, -7, -9, 7, -9, 8]]\nB =\n[[-9, 7, -6, -3, -9],\n [9, 6, 2, -1, 10],\n [-3, 10, 0, 5, 7],\n [-8, -8, 6, 5, -4],\n [8, -2, -1, 8, -2],\n [8, 2, 9, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, -6, -6],\n [-10, 0, -6, 10],\n [-1, 2, 10, 4],\n [-6, -2, -9, 0]]\nB =\n[[-2, 7, 6, 1, 8],\n [-3, 5, 2, -1, 9],\n [-8, 0, -10, 2, -8],\n [1, 3, -3, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[3, 3, -4, 6, 9],\n [-4, 8, 9, 5, 9],\n [-7, -1, 5, -2, -8],\n [6, -1, -9, -10, -10],\n [6, -6, -4, -9, 7],\n [0, 0, 9, -9, -7]]\nB =\n[[-9, 0, -8, 8],\n [-3, 3, 10, -1],\n [-7, 6, -7, 9],\n [-9, 9, 3, -10],\n [6, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -9, -8, 1, -8],\n [-2, 8, -1, -4, 1],\n [4, 3, 5, -9, 9],\n [5, 5, 4, 10, 2],\n [2, -1, -10, 9, 3]]\nB =\n[[-5, -1, 3, -9, -2, -7],\n [-2, 5, -3, 6, 3, 1],\n [1, 3, -3, -10, -7, -9],\n [-2, -3, -6, 0, -10, 5],\n [4, 0, 4, -1, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-3, 7, -9, -2, -4, 2],\n [8, 9, 8, 6, 10, 8],\n [-4, 6, 9, 10, -8, 6],\n [7, 5, 8, -8, 8, -9],\n [-4, -10, 0, 9, -3, -8],\n [7, 9, 4, -9, 5, 2]]\nB =\n[[-10, -8, 5, 10],\n [-4, -10, -10, -7],\n [6, 9, 5, -1],\n [0, -6, -4, -8],\n [-1, -2, 0, -5],\n [1, -5, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-2, -10, -3, 2, 9, 6],\n [4, -10, 4, 6, 10, -6],\n [-2, 8, -1, 9, -3, -2],\n [-10, -7, -8, 7, 3, 1],\n [0, -2, 7, -6, 10, 2]]\nB =\n[[-5, 4, -4, -1],\n [-5, 7, 3, 4],\n [-6, -2, 0, -8],\n [-10, 8, -5, 9],\n [-10, 8, 2, -3],\n [-3, -4, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[7, -1, -1, -4],\n [10, -1, -5, -10],\n [-9, 9, 10, 10],\n [-8, 6, -5, 3],\n [-2, 8, 7, 4]]\nB =\n[[5, 7, 8, -8],\n [6, -1, -3, -5],\n [6, 1, -4, -10],\n [10, -1, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-7, 3, 7, 1],\n [7, 8, -8, -5],\n [-3, -4, -8, 4],\n [-4, -7, -2, 9],\n [3, -10, -4, 4]]\nB =\n[[8, 7, -1, 0, 3],\n [-5, 7, -9, 2, 8],\n [-9, -3, 4, -1, 4],\n [4, -2, 0, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[2, -9, 1, 2, 1],\n [9, -8, 3, 8, 10],\n [2, 0, 0, 10, -10],\n [-4, 2, 0, -6, 5],\n [4, -6, 9, -7, -7]]\nB =\n[[-9, -9, -9, 3],\n [-6, -10, -9, -1],\n [-6, 5, 6, -9],\n [-10, -2, -10, 7],\n [-9, -7, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -3, -6, -2],\n [10, 0, 4, -7],\n [-7, -10, 6, -7],\n [3, 0, 10, 3],\n [1, -6, 7, -3],\n [8, 3, -8, 1]]\nB =\n[[-9, -8, -8, 3, 7],\n [5, 3, 9, -4, 1],\n [7, -1, 2, 9, 10],\n [1, 3, -2, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -1, 3, -1, -2, 9],\n [-3, 0, 8, 10, 4, -8],\n [-8, 7, -4, 8, 4, 1],\n [-9, 7, 4, -7, 9, -3],\n [7, 10, -2, 2, 0, 3],\n [-8, 6, 7, -8, 10, -2]]\nB =\n[[9, -5, -6, -2],\n [-5, 5, 7, -2],\n [9, 2, -5, 0],\n [-7, 3, -6, -10],\n [6, 3, -8, -2],\n [-7, -3, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, -6, -6, 3, -8, -5],\n [7, 4, -7, -9, 6, -7],\n [-9, 4, -1, -6, -1, -10],\n [2, -1, -3, -1, 9, 0],\n [1, -8, -9, -9, -8, -2],\n [7, 9, -5, -3, -10, 5]]\nB =\n[[8, -2, -8, -6, 3, 2],\n [-6, -5, 8, 6, 3, 2],\n [3, -7, -2, 7, 5, 7],\n [-8, -7, 9, -8, -2, 7],\n [-3, -7, 5, -4, 7, 4],\n [-5, 10, -7, -4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -7, 8, 7, -4, 6],\n [9, -7, -3, 2, 2, -8],\n [-2, -8, -7, 9, -4, -9],\n [5, 10, -10, -9, -4, -9],\n [0, 7, 8, -2, 3, 5]]\nB =\n[[7, 1, -9, -2, 3],\n [8, -2, -1, -7, 6],\n [2, -6, -2, 5, 10],\n [-10, -10, -6, -6, -5],\n [2, 5, -5, 8, -6],\n [1, 1, 9, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 10, 6, 5, -8, -3],\n [3, 7, -6, 10, 0, 6],\n [-9, -10, 6, -8, -5, 10],\n [-3, -3, -6, -3, 10, 5]]\nB =\n[[1, 2, 2, 0, -10],\n [8, -1, 3, 2, -2],\n [9, 9, 1, 6, -4],\n [-2, -3, 7, -3, 9],\n [-1, -10, 9, 0, -3],\n [9, -1, 9, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, 1, 5, -9, 9],\n [-6, -3, 4, 5, 4, 9],\n [-4, 2, -2, -7, -7, 7],\n [-9, -6, -3, 3, 2, 3],\n [-8, 10, 3, -7, 6, -1],\n [-9, 5, 1, 1, -5, 0]]\nB =\n[[0, 1, 2, 5, 0, 8],\n [-3, -3, 6, -3, -2, -6],\n [-5, 3, 5, -9, -7, 7],\n [-4, -4, -5, -8, -4, 9],\n [8, -10, 4, 6, -4, -7],\n [0, -8, 3, 6, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 8, -2, 3, -9, -2],\n [-10, -3, 6, -4, -7, -5],\n [5, -10, -7, 2, 6, 6],\n [-3, 2, 3, -4, -6, 3]]\nB =\n[[4, 2, 0, -2, 2, -8],\n [1, 8, 10, -4, -4, 3],\n [9, 1, 5, 7, -10, 6],\n [8, -1, 6, -5, -6, -9],\n [-5, -1, -4, -4, 3, 1],\n [-4, 9, -5, 5, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1741", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 7, -1, 8],\n [8, 10, 10, 2],\n [-4, 0, -6, 2],\n [-4, 7, -6, 2],\n [-7, -7, 5, 1],\n [10, 3, -6, -6]]\nB =\n[[-10, 0, 6, -8, -2],\n [-3, -6, 4, -7, -3],\n [3, -10, 8, -1, 1],\n [-7, 4, 10, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -7, 0, 9, 5],\n [-1, 1, -3, -8, 6],\n [-3, 9, -1, 5, -5],\n [2, 3, 0, -3, 0],\n [4, -10, 0, -5, -2]]\nB =\n[[-10, -2, -8, -2, -6, -7],\n [0, 4, -5, -10, -6, 6],\n [-5, 3, 4, -1, -10, 5],\n [7, -10, 8, 6, -5, 7],\n [0, -1, -4, -2, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-3, -2, 4, 9, -1],\n [-4, 5, 3, -10, 0],\n [6, 7, 2, 9, -8],\n [9, -3, 0, -3, 8],\n [-7, -7, -5, -10, -2]]\nB =\n[[-6, 6, 0, 4],\n [-4, 10, -4, 4],\n [-1, 6, 8, -5],\n [-3, 3, -1, 8],\n [-10, -1, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[-4, 7, 1, -7],\n [-3, -5, -6, -4],\n [3, 7, -1, -7],\n [3, -8, -10, -2],\n [2, -2, -7, -5],\n [6, 2, -1, 3]]\nB =\n[[0, 3, 10, 1],\n [3, 6, 8, 9],\n [-1, -7, -10, -5],\n [4, 3, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -2, 9, 4],\n [10, 7, -7, 6],\n [-5, 5, 2, 1],\n [7, 3, -9, -8],\n [2, -4, 4, 3],\n [-7, -6, 3, 1]]\nB =\n[[5, 4, -4, 5, -5],\n [8, -4, 0, 9, -2],\n [4, -7, 3, -5, 9],\n [-7, 9, -3, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 9, -7, 8, -6],\n [-5, -1, 6, -4, 0],\n [-7, -10, -3, 10, 9],\n [3, -4, 8, -1, 9]]\nB =\n[[8, -2, -9, -6],\n [9, -2, -1, -8],\n [-3, 5, 5, 0],\n [-5, 5, 2, -8],\n [4, -8, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "859", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 1, 1, 3, -9],\n [-4, -3, -2, 10, -2],\n [-1, 1, 9, 9, -9],\n [-2, 0, -6, -9, 6],\n [1, -3, -5, -8, 8]]\nB =\n[[-9, 3, -6, -10, -4],\n [3, 10, 3, 6, -9],\n [-10, 2, -9, 8, -4],\n [-8, -9, -10, -5, 2],\n [-2, -7, -10, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1423", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 4, 10, 9],\n [0, -6, 4, -5],\n [9, 0, -2, -7],\n [-4, 1, 3, -7]]\nB =\n[[2, 7, -8, 6],\n [-4, 4, 4, 4],\n [7, -8, -10, -1],\n [9, 2, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-5, 1, -9, 10, 2, 6],\n [-5, -6, -6, 9, -1, 8],\n [-10, 8, 6, -9, 7, -3],\n [-4, -4, 6, -8, 2, 7],\n [-1, 4, -10, 7, 6, -10],\n [-7, 2, 6, 3, 10, 1]]\nB =\n[[-8, -2, -10, 7],\n [9, 10, -5, -1],\n [-10, 4, -4, 8],\n [6, -9, 8, -6],\n [6, 0, -8, 8],\n [-1, -6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 10, 3, 1],\n [5, -1, 1, 2],\n [-2, 2, 8, 1],\n [10, 9, -1, -1],\n [10, 0, 10, -2]]\nB =\n[[-2, 7, 7, 1, 9],\n [-9, 4, 4, -6, -8],\n [8, -2, 0, 7, 9],\n [0, 5, -7, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[2, 4, -8, 6],\n [-9, -3, -2, -7],\n [-8, 3, -6, -5],\n [8, -7, 10, -1]]\nB =\n[[5, 3, -4, -9],\n [-10, -7, 2, -5],\n [7, 1, -4, -4],\n [-8, 4, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-1, 8, 3, -6, -3, 5],\n [-7, 6, -10, -9, 6, 6],\n [-4, -3, -5, 8, -6, 2],\n [3, 5, 2, 0, 7, 4]]\nB =\n[[-9, -9, -3, 7],\n [-3, 10, 8, -10],\n [4, -1, -9, 5],\n [-5, -2, -3, 7],\n [-9, 2, -7, 4],\n [-4, -2, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 1, 1, 9],\n [9, 6, -10, 4],\n [-6, 7, 1, -4],\n [-6, 2, -7, -10],\n [0, -6, -8, -8]]\nB =\n[[3, -10, -1, -1, 9, 0],\n [-1, 8, 0, 2, -2, 6],\n [0, 5, -4, -7, 0, -4],\n [-2, -10, 9, -1, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 3, 4, -8, -2],\n [-5, 1, 3, -2, 0],\n [10, 6, 7, -4, -7],\n [2, 0, 6, 6, 4],\n [9, 2, -4, 8, 10],\n [-9, -5, -7, -9, 5]]\nB =\n[[-3, 1, -2, -7],\n [8, -1, -10, -4],\n [-8, -5, 7, 4],\n [-7, -5, -10, 10],\n [3, 6, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, -10, -9, -10, 5],\n [3, 0, 0, 0, 2, -6],\n [-1, 7, -4, -3, -5, 7],\n [7, -5, 6, 1, -9, 0],\n [-4, -5, 2, -10, 7, 9],\n [9, -9, -3, -6, 9, -4]]\nB =\n[[1, -8, 3, -5],\n [5, 0, 7, 3],\n [-6, -4, 5, 9],\n [-9, 1, -7, -10],\n [9, -9, 9, -10],\n [8, 7, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, -10, 2, -3, 5],\n [4, 9, 0, 5, 6, 5],\n [-9, 1, -2, -1, -5, -4],\n [-7, -3, 1, 9, 6, 4]]\nB =\n[[-2, -1, 9, -1],\n [1, -3, 2, -10],\n [8, 5, 8, -8],\n [9, -10, -5, -6],\n [-10, -10, -5, -6],\n [5, 9, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -4, -8, 5, -9, -10],\n [3, 3, 5, -2, -4, -5],\n [-3, -7, -9, -9, 3, -8],\n [2, 0, -8, 5, -8, 5],\n [4, -10, 10, 0, -7, -10]]\nB =\n[[-10, 6, 8, -9],\n [-4, 0, -9, -10],\n [5, -10, 1, -5],\n [-5, 7, -6, -7],\n [10, -9, -5, 9],\n [5, -6, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 5, -2, -1, 5],\n [5, 2, -7, -10, -5],\n [6, -3, 2, 2, -5],\n [1, -7, 3, 4, -9]]\nB =\n[[8, 6, 2, -8, -9, -2],\n [-4, 5, 8, -1, -8, -8],\n [-1, 4, 9, -4, -9, 4],\n [-2, -3, -9, 4, -7, -10],\n [-6, -5, 8, 7, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[5, 3, -5, 2],\n [-5, -10, -5, 4],\n [-1, -9, 5, 1],\n [-2, 3, 4, 10]]\nB =\n[[4, 8, 6, 2, 2, -7],\n [3, -4, -7, 1, 1, 2],\n [-2, -6, 3, -2, -10, 2],\n [-4, 9, -3, 6, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 4, -2, -2],\n [10, 6, -3, 1, 4],\n [-7, 9, -6, 9, 0],\n [-3, -1, -1, 9, 9],\n [4, 10, -1, 0, 10],\n [6, 9, 5, -5, 10]]\nB =\n[[-7, 1, 8, 1, -2],\n [-9, -9, -9, -6, 10],\n [3, 9, -4, -5, -1],\n [8, -8, -6, 0, -6],\n [2, 10, 10, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1969", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 9, 6, 8, -6, -10],\n [-3, 5, -4, -8, 0, -9],\n [-6, 1, -5, -6, 8, -3],\n [5, 1, 4, 7, -3, -4],\n [2, -6, -3, -8, 4, -5]]\nB =\n[[5, 8, -1, 4],\n [3, 8, -1, 6],\n [7, -4, -4, 10],\n [-5, 2, 9, -10],\n [-10, 8, 1, 0],\n [7, -6, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -10, 3, -9, -7, 8],\n [-10, -9, -7, 3, 6, 0],\n [9, 2, -2, -8, -9, -9],\n [-8, 3, 8, -5, -1, 6],\n [-1, 9, 2, -10, 7, 4]]\nB =\n[[5, 2, 5, -9],\n [-6, 10, -9, -5],\n [-3, 4, 7, 8],\n [8, 7, -4, -5],\n [-8, 9, -1, -6],\n [-6, 5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 10, -4, 4],\n [-4, -5, -3, -3],\n [-7, 8, 3, 3],\n [7, 0, 10, -8]]\nB =\n[[-10, 6, -2, -5],\n [-7, -6, 8, 6],\n [-2, 8, -7, 9],\n [4, 8, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -6, -1, 5],\n [-9, 7, -9, 8],\n [2, 8, -6, -9],\n [-4, 6, -10, 10],\n [0, 1, -3, 10]]\nB =\n[[10, 4, 1, 9, -4, 2],\n [1, -6, 0, -7, -3, -6],\n [-7, 4, -8, -9, 8, -10],\n [-9, 9, 6, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, -7, 5, -8],\n [-10, 9, -1, 6, 6],\n [7, 8, -9, -7, -5],\n [3, -2, 7, -10, 4]]\nB =\n[[-3, 4, -2, 2, 9],\n [-4, 6, -1, -5, -4],\n [0, -9, 4, 1, -6],\n [-1, -1, -10, 8, 5],\n [-2, -8, 0, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -3, -3, -7, -10],\n [-10, 5, -2, -8, -1, 9],\n [8, 4, -9, -8, 4, 8],\n [8, -10, 6, -2, 5, 2]]\nB =\n[[-4, 9, -6, -3],\n [-2, 9, -3, 5],\n [4, -6, 10, 2],\n [-1, -9, -2, 5],\n [10, 4, 6, -7],\n [2, -2, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 3, 4, 4],\n [-1, -4, 4, 0],\n [-5, -1, -8, 2],\n [-10, -9, 7, -9],\n [-3, -5, 1, 7]]\nB =\n[[7, 6, -4, -6, -1, 5],\n [7, -2, 7, -7, -6, 5],\n [-7, -10, 1, 1, -5, -2],\n [7, 6, 1, -3, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -2, 7, 5, -10],\n [4, -6, 10, 8, 7],\n [-10, -1, -4, -6, 7],\n [4, 1, 3, -10, -10]]\nB =\n[[-3, -9, 1, 1, 3, 7],\n [7, -7, -2, 9, -8, 1],\n [-10, -2, -2, 4, 6, -3],\n [3, 2, -3, -10, 5, 7],\n [9, 1, -4, -3, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 8, -5, -10, -4],\n [-2, -1, -1, -3, 2],\n [-1, 6, 2, 9, 1],\n [2, 5, -2, -9, -2]]\nB =\n[[-2, -2, 10, -8, -9, 10],\n [-1, -5, 7, 3, -1, 7],\n [2, -2, -5, -2, 0, -3],\n [10, -5, -2, -1, 9, 2],\n [-3, -6, 1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -4, 6, -4, 2, -8],\n [6, 0, 10, 0, -1, -3],\n [-1, 3, -3, 6, 5, 9],\n [8, -8, 0, 8, -7, -4],\n [1, -5, 0, 3, 2, 1],\n [0, 6, -1, 9, 1, -2]]\nB =\n[[8, 10, -8, -7],\n [5, -1, -7, -9],\n [-4, -8, -3, -10],\n [-8, 7, -4, 9],\n [2, 10, -8, -7],\n [1, -10, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 1, -6],\n [0, -4, 9, -1],\n [-6, -9, 3, 4],\n [0, -4, -3, -7]]\nB =\n[[4, 10, 3, -1, -5],\n [1, -10, 1, 10, 4],\n [1, -5, 6, -10, 1],\n [7, 9, 7, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -10, 1, -9, -9],\n [10, 9, -2, 8, -7],\n [7, 10, -10, -10, -6],\n [-7, 4, -1, -1, 10],\n [-4, -1, 10, 2, 3],\n [-8, -5, 1, -9, -8]]\nB =\n[[-4, -5, 4, -4, 9],\n [-2, 9, -6, -7, -2],\n [0, 7, 5, -8, -1],\n [5, 3, 8, 3, 5],\n [5, -8, -8, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[0, -4, -4, -4],\n [10, 5, 3, -3],\n [-9, 6, -8, -3],\n [-1, 0, -3, 4],\n [-3, 4, -1, 8],\n [-2, 2, 9, 5]]\nB =\n[[-7, 10, -9, 10],\n [7, -8, 0, 0],\n [-2, -5, -5, 10],\n [4, 9, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[1, -2, 8, -10],\n [-9, -10, 7, -2],\n [-5, -10, 7, 2],\n [2, -9, -7, 2],\n [2, -6, 10, 3],\n [9, -2, -9, -6]]\nB =\n[[-3, -10, 3, 3],\n [-7, -1, -2, 9],\n [10, 1, -8, -9],\n [1, -4, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, 5, -3, 5, -10, -3],\n [-2, -2, 4, 8, 3, 0],\n [-4, 0, -2, -3, 0, -7],\n [-5, 10, 6, -5, -9, 4]]\nB =\n[[3, -6, -3, 2],\n [4, -1, -8, -3],\n [-8, -9, -4, 6],\n [-2, -9, 10, 4],\n [-3, -6, 6, -1],\n [-6, -8, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 10, -4, 10, -7],\n [-7, -3, 9, 0, 2],\n [6, 9, -10, 5, -8],\n [-3, 1, -8, -8, -1],\n [5, 10, 9, -9, -5]]\nB =\n[[8, 6, -5, 3],\n [-10, 6, 7, -1],\n [-6, 9, -10, -6],\n [6, -10, -6, 6],\n [-2, 2, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -9, 7, -6],\n [-6, -8, -1, -10],\n [5, 2, 4, 10],\n [7, 2, 3, -6]]\nB =\n[[-6, 8, -4, 1, 6, -2],\n [10, 2, -9, 10, -9, 9],\n [2, -10, -8, 10, -8, -10],\n [-6, 3, 3, 3, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 8, -1, -10],\n [-6, 1, 2, -3],\n [3, -6, -3, 8],\n [-1, -8, 2, -1],\n [3, 10, 5, -10],\n [2, -4, 4, 4]]\nB =\n[[2, 9, 1, 0, -6, -3],\n [-3, -7, -8, 8, 0, -10],\n [-6, 5, 7, -9, 7, 9],\n [9, -3, 7, 8, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1993", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 6) of the product matrix AB given:\nA =\n[[8, 2, 0, 1, 7, -8],\n [-2, 0, -3, -6, 7, 6],\n [6, -2, -8, 5, -8, -9],\n [-6, -10, -7, -10, -1, 1],\n [7, -5, 8, -7, 2, -7],\n [3, 7, 1, -4, -8, -5]]\nB =\n[[2, 4, -8, 7, -6, 10],\n [1, -8, -3, -2, 6, -2],\n [6, -2, 2, -3, -7, 2],\n [-2, 8, 2, 5, 4, 3],\n [3, -7, -6, -5, -6, -1],\n [-8, -2, 0, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, -1, -1, 3, -5],\n [9, -2, 3, -1, -6, 8],\n [6, -3, 0, -1, -9, -5],\n [8, 9, 3, -4, 0, 9]]\nB =\n[[-4, -1, 8, -1, -5],\n [4, -8, -1, -8, 7],\n [9, 3, 0, 5, -10],\n [-7, -10, 2, 1, -1],\n [0, 0, 8, 0, -1],\n [3, -2, -7, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, -9, -7, 0],\n [-2, -7, 0, -4],\n [-1, 7, 3, -2],\n [10, -8, 10, 5],\n [8, 9, -8, 5],\n [-9, -6, 3, 10]]\nB =\n[[0, -10, 1, 7, 2, -7],\n [3, 4, -9, 10, 3, -2],\n [-10, -8, 7, -5, 8, 4],\n [-9, 9, 10, -7, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 9, -8, -1, -5],\n [-2, 4, 1, -4, -4],\n [6, -4, -3, 6, -7],\n [-5, -7, 2, -1, -8]]\nB =\n[[3, -5, 3, 2],\n [5, 8, 8, 9],\n [3, -3, 4, 1],\n [-9, 10, 2, -3],\n [-3, 0, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[5, -1, 0, 6, 5, 7],\n [-7, 2, 5, -1, 3, 1],\n [10, -2, -3, -6, -7, 4],\n [5, 0, -8, -8, 3, 6],\n [7, 2, 9, 6, -10, 3]]\nB =\n[[3, 4, -7, -5],\n [0, -5, -9, 3],\n [-1, 2, 9, -8],\n [-7, 5, 9, -1],\n [6, 1, -8, -3],\n [3, -7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -8, -7, 9, 9],\n [6, -6, -10, -7, 3],\n [2, 8, 10, 6, -10],\n [-5, 3, 8, -2, -8],\n [-4, 10, 5, 0, -6]]\nB =\n[[0, 1, 4, 6, 10, -1],\n [10, -10, 6, -9, -2, -6],\n [7, -7, 8, 4, -4, 6],\n [4, -5, 9, 10, -4, -2],\n [10, -1, -10, 7, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2835", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 4, 9, 0, 2],\n [-6, 5, -3, 9, -4],\n [-4, 4, -4, 4, -9],\n [-10, 5, -2, 10, 3],\n [5, -6, -5, -4, -6]]\nB =\n[[-4, 10, 10, 8, -5, -9],\n [1, 10, 7, -9, -5, 7],\n [5, 9, -9, -9, -5, 0],\n [-8, 7, -5, 2, -2, -4],\n [10, -9, 6, 3, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1923", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 5, -1, -1],\n [-8, -1, -10, -10],\n [9, -2, 0, -2],\n [2, -10, 8, 3],\n [-3, 2, 3, -4],\n [8, 10, 10, 0]]\nB =\n[[-8, -9, 2, -8, -1],\n [2, 9, -1, 7, -5],\n [-7, -2, 1, 2, -3],\n [-5, -1, 5, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1826", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 6, 4, 10, 1, -7],\n [4, 1, 10, -3, 4, 9],\n [7, -6, -2, -10, 10, 5],\n [10, -8, 10, -2, -1, -4],\n [-7, -1, 3, 2, 9, -1]]\nB =\n[[5, -2, 3, -5],\n [4, -1, 5, 8],\n [7, 7, -3, 10],\n [-9, 8, 1, -2],\n [-6, 4, -7, 5],\n [1, 8, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, -3, 6, 6, 9],\n [0, 8, 1, 4, -8, -3],\n [-3, 1, -1, 9, -10, -3],\n [-9, 5, -6, -8, 1, 2]]\nB =\n[[-9, -9, -5, -10, 10],\n [-3, -2, 7, 0, -4],\n [-5, 5, -3, 5, -10],\n [1, -7, 6, -7, 4],\n [-3, 3, -8, -3, -2],\n [8, 9, 9, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 5, -2, 2],\n [1, -1, -9, 4, 4],\n [-1, 10, 4, -10, 5],\n [5, -8, -5, 1, 0],\n [-4, -8, 7, -10, -6],\n [0, 0, 3, -1, -10]]\nB =\n[[3, 2, 6, -9],\n [-9, 5, 9, 8],\n [-1, 2, -3, -2],\n [-3, 2, 2, 6],\n [-10, 2, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-2, 0, -10, -9],\n [-6, -6, 9, -7],\n [3, -10, 2, 8],\n [-4, 3, -1, 6],\n [2, 9, 6, -6],\n [-1, 0, 0, -7]]\nB =\n[[2, -5, 3, -4, 5, -9],\n [-1, -3, -2, -8, -6, -2],\n [-7, -9, 4, 3, -6, -10],\n [2, 8, 4, 10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-5, 2, 5, -5],\n [5, 8, -2, -5],\n [-2, -9, -2, -4],\n [-5, 7, 0, 7],\n [-8, 4, 8, 2],\n [-8, -5, 0, 8]]\nB =\n[[6, 6, -2, -5],\n [-7, -7, -3, -1],\n [-3, -2, -9, 5],\n [3, 5, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 3, -7, 3],\n [2, -7, 9, -6],\n [7, -2, -6, 7],\n [2, 7, -7, 5]]\nB =\n[[-9, -8, -2, -5],\n [6, -6, 1, 3],\n [-1, 4, -6, -10],\n [6, 8, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, -2, -8],\n [2, 6, 5, 6],\n [9, 0, 1, 9],\n [-7, 0, 4, -1],\n [-5, -5, -3, 6],\n [0, -9, -1, 1]]\nB =\n[[-7, 6, 6, 4, -9, -7],\n [-10, 10, 9, -7, -9, 8],\n [-6, 4, -6, 1, -7, -2],\n [-5, -7, -5, 6, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 6, 8],\n [-7, 7, -2, -9],\n [-7, -2, 10, -4],\n [1, -9, -10, -6],\n [-4, -10, 2, -3],\n [4, 0, -2, 9]]\nB =\n[[7, -9, 2, -1, -9],\n [0, 7, -8, 4, 7],\n [9, -8, 7, -6, -9],\n [-7, -10, -8, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1691", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 8, -3, 5, -2],\n [1, -9, -10, 2, -7],\n [8, 0, -3, 8, 2],\n [2, -4, 5, -5, 7],\n [-2, 10, -7, 1, 0],\n [5, 7, -5, -5, -10]]\nB =\n[[-6, 9, -5, -9, 10, 6],\n [6, -4, -6, -4, 10, -1],\n [-1, -7, 2, 1, -7, 7],\n [5, 6, -2, -6, 8, 2],\n [10, -6, 7, 3, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 9, 9, 3, 2],\n [-6, -7, 7, 4, -10],\n [-2, 4, 5, 10, -5],\n [10, 2, 7, 3, 9],\n [-2, 6, -9, -9, -10],\n [-1, -5, 6, -1, -9]]\nB =\n[[-10, -8, -6, -6, -1, 4],\n [5, 10, -4, -5, 6, -9],\n [8, -2, 5, -10, 6, -2],\n [-3, -10, 2, 1, -7, 8],\n [0, -6, 9, 9, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[5, 9, -2, -4],\n [-3, 7, -10, -6],\n [-1, -9, -3, -1],\n [-2, 3, -5, -7],\n [-10, -7, 0, -8],\n [8, 8, 3, 6]]\nB =\n[[0, -7, 3, -3, 5],\n [3, 6, -1, -2, 1],\n [-3, 8, 10, -4, 0],\n [6, 3, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 5, 6, -4],\n [7, 9, -1, 2],\n [5, 2, -9, 4],\n [-5, -1, -2, 2]]\nB =\n[[-10, 2, 1, 1, -10, -4],\n [3, 6, -2, 8, -3, -10],\n [2, 7, 8, -9, 5, -10],\n [-4, 8, -1, -1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 7, 9, -6, -3, -1],\n [2, -2, 6, -3, 2, -9],\n [-5, -7, -4, 7, 6, 9],\n [-8, -4, -7, 8, 1, 1],\n [-2, 9, -7, -5, 9, 2],\n [6, -9, -5, 4, -10, 0]]\nB =\n[[-10, -3, 8, 10, -3],\n [0, -7, -9, -10, -3],\n [-7, 2, -1, -7, 4],\n [6, 10, -1, 1, -9],\n [0, -9, -3, -1, -1],\n [-10, -9, -8, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 4, -4, -7, 3, 3],\n [-8, -10, -2, -2, 3, 4],\n [-5, -10, -7, 0, 10, -9],\n [10, -5, -3, -8, 4, -4],\n [5, 9, -8, 5, -7, 8]]\nB =\n[[4, 6, 10, 7, -2],\n [3, 3, -9, -10, 5],\n [-10, -8, 6, -10, 3],\n [-1, -4, -6, 8, -8],\n [-3, 0, -3, -8, 0],\n [1, -5, -8, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-3, 10, -10, -9],\n [-9, 4, -9, -1],\n [8, -4, 3, 5],\n [2, 9, 8, -7],\n [2, -6, 7, 7]]\nB =\n[[7, -1, 7, -10, -6, -5],\n [1, 2, 1, -2, 4, 9],\n [-7, -2, 5, -2, -4, 8],\n [-1, 9, -5, -10, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -10, -3, -3, 7],\n [-4, 6, -8, 3, -10],\n [4, 9, 3, 5, 3],\n [1, 2, -8, 2, 4]]\nB =\n[[-7, 9, 7, 2],\n [-6, 6, 5, 0],\n [-2, 0, -1, -3],\n [0, -5, -7, -2],\n [-9, 7, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-3, 2, 7, 5],\n [2, 4, 0, 8],\n [8, 2, -1, -9],\n [-1, -2, -3, -7],\n [6, -10, -9, 1],\n [-7, 9, -5, -8]]\nB =\n[[-5, -5, 0, -3],\n [6, -3, 6, -3],\n [4, -6, -7, -6],\n [6, 7, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-3, 2, -10, -8, -7, -5],\n [-10, 10, 4, -7, 1, -7],\n [-8, 9, 3, 1, 8, 7],\n [-6, 7, -1, -7, 9, -10],\n [-8, 4, 2, -6, -2, 1]]\nB =\n[[-2, 7, -1, 9],\n [-5, -5, -9, -7],\n [2, -9, -6, 10],\n [10, -4, -8, 10],\n [7, -7, -3, 6],\n [-7, -8, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 2, -10, 10, -5],\n [4, 7, 10, -9, -8],\n [-8, 0, 4, 5, 2],\n [9, 0, 6, -9, 5],\n [-9, 2, 1, -4, 1],\n [0, -4, 0, -2, 3]]\nB =\n[[-3, -2, -10, -10, -10],\n [3, -5, -1, 7, 9],\n [-8, -10, 8, 1, -1],\n [6, -4, -9, 5, 8],\n [-3, 1, 3, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 5, 9, 6],\n [-3, 7, 9, 8],\n [-9, -7, -7, 4],\n [-10, -5, -5, -7],\n [-5, 9, -8, -1],\n [-9, 7, -4, 8]]\nB =\n[[1, -4, 9, 9],\n [6, -6, -10, -5],\n [-8, -1, -4, 10],\n [9, -2, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1947", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -5, -1, -6],\n [-2, 1, -5, -9],\n [-9, 10, 5, -9],\n [-4, -3, 7, 3],\n [-4, 10, -8, 5]]\nB =\n[[-6, 0, -8, -7, -2, -9],\n [-3, 9, -8, 7, -5, -9],\n [5, -2, 0, -9, -1, -9],\n [6, -8, -10, -10, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2023", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-5, -6, -2, -8],\n [-10, -9, -1, 2],\n [-9, 3, 3, -6],\n [3, -7, -8, 0],\n [-3, 7, 3, 7]]\nB =\n[[2, 1, 7, 1, 2],\n [-1, 10, -9, 2, 4],\n [-7, -9, 4, -3, 3],\n [-3, 2, 6, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[0, -7, 0, 7, -2, 4],\n [2, -5, 3, -1, 7, -10],\n [9, 6, 8, 1, -8, -9],\n [-7, -2, -9, 7, -5, -8],\n [7, 5, -5, -3, -3, 10]]\nB =\n[[-5, -6, 2, 9],\n [1, 3, -8, -8],\n [10, 9, 1, 6],\n [7, -6, 5, 3],\n [6, 0, -7, -5],\n [7, -8, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 8, 9, -10, -3, -3],\n [-3, -9, 10, 6, 4, 9],\n [10, 7, -3, 9, 1, -4],\n [4, 10, 8, -9, 0, 4]]\nB =\n[[-10, -1, 9, 3],\n [4, 4, 9, -4],\n [10, 2, 3, 5],\n [8, 6, -9, 5],\n [-7, 8, -10, 6],\n [5, -5, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "657", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 10, -2, -3],\n [10, 9, -7, 2],\n [-3, -6, -5, -10],\n [5, -5, 8, -9],\n [-4, 1, -1, 10]]\nB =\n[[-8, -8, 2, 4, 3],\n [-9, 5, 1, -2, -10],\n [6, -4, 2, -4, -3],\n [1, -9, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-2, -8, 5, -7],\n [5, -9, 5, 4],\n [-5, 4, 8, 5],\n [-5, 9, -7, -4]]\nB =\n[[5, 8, -9, -7, -8, 4],\n [3, 2, -3, -6, 10, -8],\n [0, 5, -10, 10, -8, 6],\n [-5, -8, -8, 2, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 4, -4, -7, 4, -3],\n [-1, 1, -7, -6, -10, -10],\n [6, 4, 2, 6, 2, 5],\n [-8, -7, -2, -2, 8, 9],\n [-6, -5, 6, -2, 6, 3]]\nB =\n[[0, -8, 8, 7],\n [-7, 2, 4, 7],\n [-8, -8, 2, -10],\n [5, 5, 2, 6],\n [7, -6, 6, 3],\n [-5, -7, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -6, 8, 7, -3, 4],\n [4, -2, 9, 9, 5, 5],\n [9, 4, 4, -5, -2, 9],\n [-7, 10, -9, -6, 0, -6]]\nB =\n[[-10, 7, 7, 9, -3, 5],\n [-7, 2, 8, -1, -9, -3],\n [6, -8, -8, 2, -2, -2],\n [3, -8, 3, -8, -7, 8],\n [-1, 3, 7, -2, -10, -3],\n [10, 9, 8, 0, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1881", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -10, 7, 0, 5],\n [-9, 10, -6, -4, 6],\n [7, -5, -2, 0, -4],\n [-9, -4, 8, -4, -4],\n [6, 0, 1, 3, 7],\n [-5, 8, 3, -10, -6]]\nB =\n[[-3, -1, 3, 4, 3, -7],\n [-8, -6, 3, -2, -7, -4],\n [8, 6, 0, 4, -5, 0],\n [-4, 1, 2, 1, -9, 1],\n [-6, 7, -7, -1, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 9, 4, 2],\n [10, 4, 7, 9],\n [-10, -9, 5, -8],\n [2, 3, 0, 4],\n [10, -7, -7, -7],\n [1, -1, -1, 7]]\nB =\n[[1, 0, -3, -5, 10, -5],\n [-3, 4, -5, 0, -7, -5],\n [-2, -3, 4, -7, -4, -8],\n [-6, 3, -9, 3, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2337", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -9, 4, -8, 10, 4],\n [-2, 2, 4, 1, -6, 10],\n [9, -10, -4, 7, 7, 0],\n [-2, 0, 0, 8, -10, -5],\n [-5, 10, -7, 9, 0, 0],\n [2, -3, 5, 10, 3, 2]]\nB =\n[[-5, 1, 0, 10, -1, -7],\n [9, 9, 5, 2, -3, 1],\n [1, -1, -10, 6, 9, 10],\n [8, -4, -9, 5, 8, -1],\n [-7, 2, 6, -8, -7, 0],\n [2, -7, 5, 1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, 9, -8, -6],\n [4, -6, -5, -4],\n [1, 3, -2, -2],\n [-5, -5, -4, 5],\n [-5, -3, -1, 6],\n [-10, -4, -8, 5]]\nB =\n[[-10, 0, -3, 7, -3, 8],\n [-6, 4, 10, -10, 4, -1],\n [-7, -3, 0, -8, -1, 6],\n [1, 1, 7, 6, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-5, 4, -6, 4, 2, 5],\n [4, 5, 10, 7, -2, 3],\n [0, -8, -7, -9, -7, 6],\n [0, -6, 3, 2, -7, 6],\n [-7, 7, 4, 0, 3, 0],\n [5, -3, 3, 8, -5, 1]]\nB =\n[[-7, 4, 2, -3, -3],\n [4, 0, 2, 3, 7],\n [4, -3, -9, -5, 5],\n [5, -3, -5, -10, -5],\n [8, 9, -3, -2, -1],\n [7, 5, -1, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 8, -1, -8, -1, -9],\n [2, 2, -4, -3, 3, 9],\n [-10, -3, -2, -10, 9, 7],\n [0, 3, 6, 7, 7, -4],\n [3, -6, 10, -8, 4, 8]]\nB =\n[[6, 3, 6, -4, 6],\n [1, -8, 1, 4, -5],\n [-1, 0, 4, -8, 9],\n [6, 2, -5, 10, -9],\n [0, -10, 6, 6, -6],\n [-2, -8, 9, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-388", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -7, -10],\n [-7, -2, 2, 3],\n [-9, 3, -2, 8],\n [-8, 10, 5, 9],\n [1, -1, -8, 0]]\nB =\n[[3, -7, 7, 7],\n [-10, -4, 3, 3],\n [7, 7, -2, 2],\n [8, -1, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-540", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -4, -9, 4],\n [2, 3, 7, 1],\n [0, -4, 1, 9],\n [-9, -5, 9, 9],\n [-6, 3, -2, 7]]\nB =\n[[-3, -1, -4, -4, 7, -5],\n [8, 7, 6, 6, -2, 5],\n [-9, 6, -10, 6, 2, 5],\n [9, 9, -5, -4, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1734", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-7, -3, -9, -5, -5, 7],\n [1, -7, -9, 7, 0, 9],\n [3, -9, -5, 8, -3, -2],\n [7, 1, -9, 6, -5, 10],\n [7, 4, 6, -8, -2, 5]]\nB =\n[[9, -10, 0, 9],\n [-7, -1, -10, -4],\n [-4, 1, -1, -5],\n [8, -8, -4, 2],\n [3, -5, 5, -2],\n [-10, 9, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, 0, 7, -8, 9, -3],\n [-6, 5, 9, -8, 0, 3],\n [-4, 2, -10, 8, 6, 2],\n [8, 4, -8, 0, 0, 7],\n [-9, 5, -6, 8, -2, -7]]\nB =\n[[5, 1, 2, -2, -4],\n [8, 5, 7, 0, -9],\n [-9, -1, 4, 2, -3],\n [-8, -3, 3, -10, -6],\n [1, -2, 10, 7, 5],\n [-5, -5, -7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 4, 3, -10, 5, 7],\n [-9, 2, 5, 10, 7, 7],\n [3, -9, 6, 7, 6, 3],\n [-5, -6, 9, 6, -3, 2],\n [-8, 8, -9, 10, -1, -6],\n [-3, 3, 10, -3, -6, -10]]\nB =\n[[3, -2, -10, -9, -1, -7],\n [-7, -9, -8, 7, -5, -1],\n [-10, 3, -7, -9, -8, -6],\n [10, 8, -6, 8, 0, 4],\n [-10, 6, 5, -6, 3, -10],\n [5, -3, 9, 2, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2745", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 3, 5, 9, -7, 6],\n [4, 8, 7, 8, 10, -2],\n [-3, -1, -5, -5, -6, -10],\n [8, -3, 10, 6, -9, 7]]\nB =\n[[-9, -5, -7, 7],\n [-2, 6, -3, -9],\n [-8, 8, -1, -10],\n [1, -4, -9, 6],\n [5, 0, -10, -5],\n [0, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 3, 6, -6, -1],\n [-4, 5, -8, -7, 5],\n [-5, 0, -6, 1, -5],\n [10, -1, 9, -5, 8],\n [-9, -7, -7, 10, -3]]\nB =\n[[5, -10, 4, 7, 8],\n [-4, -7, -1, 2, -4],\n [0, -9, 10, -1, -9],\n [5, 6, -7, -1, -3],\n [4, -10, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2094", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 10, -1, -2, 5],\n [-9, -7, 10, -2, -2],\n [1, 3, 5, -1, 3],\n [6, -2, -5, -9, -1]]\nB =\n[[-2, 5, -1, -5, 4, -7],\n [-10, 7, -7, -4, 2, -8],\n [3, -1, 2, -8, -9, -3],\n [-10, -5, 8, -1, -4, 9],\n [-8, -9, -4, 5, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1522", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, -5, 6, 4],\n [10, 9, -6, -10, -5],\n [-4, -10, -3, -10, 8],\n [8, -1, -10, -7, 7],\n [-3, 6, 1, 7, -8],\n [7, 0, -5, 7, 10]]\nB =\n[[2, 4, 6, -6],\n [0, -6, 3, -5],\n [2, 6, 10, -1],\n [-6, 2, 1, 10],\n [-2, 7, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-519", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -9, 10, -10, 9, -1],\n [1, 8, 3, -8, 4, 4],\n [9, -1, -10, 9, -10, -8],\n [-10, -8, 6, 5, -1, 10],\n [4, -2, -2, -5, -9, -7]]\nB =\n[[9, -1, 0, 0, 0],\n [-1, 9, 9, -3, 10],\n [-5, 2, 5, 2, -3],\n [9, -1, 0, -3, 0],\n [5, -9, -9, -2, -7],\n [7, -6, 3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 2, -4, -4, -9],\n [-7, 3, 9, -8, -10],\n [1, -3, 0, -8, 0],\n [9, -3, 3, 5, -1]]\nB =\n[[1, -2, 4, 1],\n [-8, 4, 6, 10],\n [8, 8, -3, 2],\n [5, -3, -6, -4],\n [4, -10, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "830", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 4, -9, 10, 6, 3],\n [-6, -6, -3, 4, 7, -8],\n [2, 2, 2, -3, 0, 8],\n [-3, -10, -2, 0, -9, 6]]\nB =\n[[9, -1, -5, 0, 0, -6],\n [-10, 6, 8, 10, 7, 5],\n [-9, -9, -2, 10, -4, 7],\n [-10, 5, 6, -6, 4, 0],\n [5, -1, -7, -2, 2, 2],\n [6, 2, 7, 2, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1768", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -9, -8, -3, -8, -2],\n [8, 3, 10, 9, -8, -9],\n [8, -1, -9, -2, 2, -7],\n [-1, -7, 3, 4, 8, -7],\n [-3, -10, 7, 9, 1, 2]]\nB =\n[[-4, 9, -4, -8, -2, 3],\n [4, -9, 4, -9, 3, -3],\n [0, -8, -9, 5, -10, -5],\n [-2, -3, -4, 0, 10, 5],\n [-3, -2, 1, -6, 2, -7],\n [-5, 4, 4, 6, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -2, -2, -7],\n [-7, -4, 10, -6],\n [-9, -9, 9, 3],\n [8, 1, 7, 4]]\nB =\n[[-3, 10, 0, 1],\n [4, -8, -1, 5],\n [2, -1, -8, 10],\n [5, 10, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "826", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, 0, 5],\n [-7, -2, 6, -10],\n [-8, 3, -4, -10],\n [10, 0, 5, 1]]\nB =\n[[9, 1, -8, 4, -8, 8],\n [3, -1, -3, 6, 0, -7],\n [2, -10, -6, -4, -8, -6],\n [8, -7, 0, -4, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -5, -3, -7],\n [-8, 5, -1, -6],\n [-2, -5, 0, -5],\n [2, -6, 8, 5],\n [-6, -7, 4, -5]]\nB =\n[[3, -6, -4, -10],\n [1, -2, -8, -10],\n [-10, -6, -2, 10],\n [-10, -7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1373", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 0, -8, -5, -9],\n [-9, 1, 7, -6, -10],\n [-9, -3, 4, 7, 9],\n [1, 9, -6, 6, 0],\n [9, -6, -4, -4, 7]]\nB =\n[[-7, -7, -5, -6, -3, 6],\n [0, 6, 6, 3, -4, 2],\n [8, 4, 10, -5, -5, -6],\n [-5, -2, 6, -3, 9, -2],\n [3, 6, 2, -3, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-5, 8, 8, -6, 0],\n [7, 0, 1, -9, 2],\n [-2, -6, 1, -6, 10],\n [5, -1, 1, 4, 8]]\nB =\n[[1, 2, -2, -10],\n [2, 7, -6, -10],\n [10, 7, -4, 1],\n [9, -5, -9, -1],\n [3, -1, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 4, 0, 2, 0, 1],\n [6, 7, -3, 2, 4, 0],\n [7, -6, 4, -9, -7, -6],\n [0, -7, -9, -9, 3, -6]]\nB =\n[[-7, 1, -6, 8, -9, 9],\n [-2, -8, 0, 7, -4, 3],\n [-8, 6, 2, -7, -3, 7],\n [-7, 1, -7, 6, 8, 10],\n [9, 3, -1, -7, -3, -8],\n [-4, -4, -10, -10, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 3, -3, 8],\n [-9, 7, 3, 7],\n [-6, 0, 3, 4],\n [1, -6, -6, 3]]\nB =\n[[-7, 5, 8, 6],\n [4, 2, 4, -9],\n [-7, 8, -3, 3],\n [9, -3, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, -8, -3, 8, -5],\n [-10, 3, 7, -7, -3, -3],\n [-1, 10, 2, 0, 1, 0],\n [-6, -9, 6, 9, 0, -5],\n [-1, -6, -5, 6, 0, 7]]\nB =\n[[-1, 4, -5, 10],\n [-10, 0, 5, 5],\n [10, -5, -2, -1],\n [-7, 4, 1, -1],\n [0, -8, -3, -9],\n [1, 5, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-357", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 7, 6, -1],\n [-3, 6, 5, 8, -6],\n [7, -5, -3, -4, -2],\n [-7, 1, 8, 6, 3]]\nB =\n[[-4, 4, 8, 5, -1],\n [-2, 5, 6, 6, -2],\n [0, 9, -9, 7, 3],\n [-8, 8, -6, 10, 7],\n [5, 9, -4, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -7, 3, 8, -9, -5],\n [-4, 7, 8, 6, -10, -8],\n [-9, -7, -4, 1, -4, 10],\n [5, 2, -10, 7, -9, 2],\n [-9, -3, 6, -5, 7, -10]]\nB =\n[[-9, -9, 7, -9],\n [6, 7, -10, 8],\n [-8, 8, 9, 10],\n [1, 1, -1, -4],\n [2, 9, -4, -8],\n [5, 1, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1774", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -3, 7, -4, -7],\n [3, -9, 6, 6, 2],\n [0, 8, 1, 5, 10],\n [10, 5, -2, -7, -1],\n [-8, -7, -9, 10, 3]]\nB =\n[[-2, 5, 9, 6, -2],\n [-2, -3, 9, -7, -3],\n [-4, 7, 5, -2, -9],\n [-2, -9, 7, 10, 10],\n [-9, 1, 9, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -9, 0, -6, -10, 1],\n [8, 2, -2, 6, 4, 2],\n [9, 6, 0, 9, -4, -9],\n [4, -9, 7, -10, -7, -8],\n [-5, 0, 5, -1, -9, 0],\n [0, -2, -10, -4, 5, 4]]\nB =\n[[-7, -5, 10, -8, -7],\n [-7, -6, 4, -7, -9],\n [-9, 1, 9, -7, 6],\n [-2, 0, -8, 2, -8],\n [7, -9, 0, -6, -5],\n [10, 7, -7, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2943", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-2, 8, -8, -2, -9, -10],\n [9, -7, 1, -5, -8, -1],\n [-5, -5, 0, -9, 5, 5],\n [7, -5, 7, 0, -9, 0],\n [-2, 3, 8, 4, 4, -6]]\nB =\n[[8, -5, 4, -7],\n [6, 7, -5, -2],\n [0, 3, 2, -5],\n [8, 3, -9, 0],\n [-3, -9, 1, -5],\n [3, 5, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, 0, -10],\n [7, 9, 8, 6],\n [-6, 2, 5, -1],\n [1, -7, 8, -1]]\nB =\n[[-1, 2, 6, -7],\n [-9, -7, 4, -5],\n [-4, 5, 10, 9],\n [-7, -4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 6, -5, 1, -10],\n [-10, 8, -8, -3, -4],\n [3, -2, -6, -3, -9],\n [4, 4, -4, -8, 4],\n [10, 2, 9, -6, 8],\n [7, 9, -7, 10, -2]]\nB =\n[[-1, -8, 9, -1, 2],\n [-5, 0, 2, 0, 1],\n [-1, 7, -7, 3, 5],\n [2, -9, 10, 6, -3],\n [10, -4, 4, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[9, 6, 9, -2],\n [5, 3, -2, -7],\n [-2, 7, 10, 1],\n [7, 1, 10, -4],\n [-9, -4, 10, -4]]\nB =\n[[1, -10, -10, -4, -1],\n [-9, -4, 4, -1, -3],\n [4, 0, 9, 5, 10],\n [-3, -3, 10, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 3, -9, -8, 1],\n [-9, -3, 0, -7, 10],\n [3, -9, -3, 3, 1],\n [4, 2, 9, 5, 0],\n [5, 8, 10, -10, -5],\n [1, -6, 1, 10, -1]]\nB =\n[[-5, 1, 8, -10, -8],\n [9, 10, 2, -7, -6],\n [1, -8, -6, 8, -1],\n [3, -7, -6, -7, 0],\n [-4, 6, 5, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-6, 2, -3, 4],\n [5, 10, -8, 5],\n [9, -3, -5, 5],\n [0, 1, 2, -10],\n [-2, -1, -6, -8],\n [-5, 5, -1, 9]]\nB =\n[[-2, 0, -10, 4],\n [-2, 3, -10, -3],\n [-9, 10, -8, 8],\n [-5, 1, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 9, -4, -3, -8],\n [5, 6, 2, -2, 1, 9],\n [6, 3, -9, 4, -10, -8],\n [-10, 8, 0, 0, 0, 1],\n [1, -6, 10, -6, -8, 6]]\nB =\n[[-10, 2, -9, 2],\n [7, 4, -7, -6],\n [-4, 9, 0, -7],\n [-5, 4, -4, -6],\n [7, 7, 3, -8],\n [-3, 9, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1584", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -10, 1, 1, 10, 8],\n [7, -4, 7, 9, 3, -1],\n [8, 5, -10, 8, -9, -5],\n [-10, 8, -7, -8, 8, 1],\n [-3, 7, 0, -4, 6, 10]]\nB =\n[[-7, -6, -9, 6],\n [2, -2, 1, 10],\n [-5, -1, 6, 8],\n [8, -2, 3, 0],\n [8, 7, 3, 3],\n [3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "958", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -1, 2, -1, -6],\n [10, -8, 3, 7, 0],\n [-7, -4, -6, -3, 9],\n [6, -2, -4, -9, 2]]\nB =\n[[-10, -9, 9, 3, -2],\n [-9, 5, 2, 0, 9],\n [-8, -5, 4, 5, 1],\n [9, 0, 6, -5, 8],\n [-6, 8, 9, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1303", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 3, -3, 10],\n [-1, -10, -1, 2],\n [2, 9, -3, 1],\n [8, 4, 2, 4],\n [7, -4, -4, -7]]\nB =\n[[-7, 7, -6, -4],\n [1, -8, 9, 0],\n [10, 6, 9, 6],\n [6, -5, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-6, 8, 0, 3],\n [-5, -7, 9, 1],\n [-4, -5, -9, -9],\n [1, 0, 2, 7]]\nB =\n[[1, -2, -2, 3],\n [4, -2, -6, 1],\n [-7, -1, 0, 2],\n [-10, -3, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -7, -10, -7, -10],\n [-4, -10, 6, -4, 10],\n [1, 6, -8, -1, -5],\n [-2, -4, 6, -10, -5],\n [-1, -10, -9, -2, 5],\n [-1, -3, -8, 4, 1]]\nB =\n[[3, -10, -9, -2, 8],\n [5, -5, 4, -1, 4],\n [-4, -6, 9, -1, -3],\n [-8, -2, -7, 10, 7],\n [-1, -9, 6, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -8, -6, 10],\n [5, -9, 7, 7],\n [5, 1, 6, -3],\n [7, -3, 0, -4],\n [0, -2, 6, 3]]\nB =\n[[6, -4, 0, -7, 4, 6],\n [-4, -10, 10, -8, -4, 6],\n [10, -3, -3, 0, 4, 6],\n [-8, 1, -4, -5, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, -8, 1, -6, 8],\n [6, -8, -7, -5, -1, -2],\n [7, -10, -10, -5, 6, -7],\n [-9, 0, 4, 2, -9, 2],\n [8, 5, -10, 1, -10, 1],\n [9, -2, -4, 8, -5, -2]]\nB =\n[[10, 1, 0, 0, -4, -7],\n [-7, 6, -8, -10, -9, -4],\n [0, -4, -8, -8, -7, 3],\n [-10, 4, 9, -8, -8, -6],\n [-9, -10, -6, 7, 7, -4],\n [-10, -9, 2, -6, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 10, -5, -3],\n [-1, -6, -8, 7],\n [-7, -7, -7, 8],\n [2, -8, -1, -7],\n [7, 3, -6, 8]]\nB =\n[[10, -9, -7, -1],\n [5, 4, -8, -5],\n [3, -6, -5, -5],\n [-7, 8, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1382", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 0, -5, -7, 8],\n [-7, 0, -5, 9, -4],\n [-2, 4, -3, 4, 2],\n [0, -7, 5, 2, -10],\n [-3, -2, 6, -7, 4],\n [-10, -2, 9, 10, 6]]\nB =\n[[5, -1, 2, 2, 5, -6],\n [9, 4, 6, -8, 9, 9],\n [9, -4, -3, -1, -8, -7],\n [3, -7, -7, 3, 8, 9],\n [6, 2, 10, -6, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, 9, 2],\n [0, 1, 7, -6],\n [-2, 8, 5, 2],\n [10, 8, -8, 0]]\nB =\n[[6, -5, 8, 2, -8],\n [-6, 0, -8, 3, 10],\n [5, -3, 2, 6, 7],\n [2, -5, -9, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[-10, -8, 5, -4, -7],\n [-8, -1, 0, -2, 3],\n [9, 3, 9, 8, 0],\n [3, 6, 9, -3, 6],\n [-8, 0, -9, -3, 2],\n [7, -5, -6, 8, -7]]\nB =\n[[-2, 1, 10, 5, 9],\n [6, -5, 1, -8, -6],\n [7, 1, 10, -7, 3],\n [-3, -6, 5, 10, -7],\n [3, -4, 0, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-9, -5, 4, 4],\n [3, 1, -3, -3],\n [-4, -8, 2, -5],\n [6, -1, 1, -7],\n [8, -8, 3, 10],\n [-9, 4, 2, -6]]\nB =\n[[-3, -9, -2, 8, -6],\n [7, -8, -9, 9, 2],\n [-1, 5, 3, 3, 10],\n [-4, 6, 0, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -7, 4, 6, -8, -3],\n [-9, 6, -2, 2, 5, -4],\n [7, 3, -1, 9, -6, 10],\n [-8, 3, 8, -6, 6, 10],\n [2, 0, 5, -5, -6, 7],\n [-2, -6, 9, -2, -10, 3]]\nB =\n[[6, 5, 6, 1, -3, 4],\n [10, 9, -1, 3, 3, 4],\n [8, -5, -3, -1, -2, -4],\n [8, -4, 7, -10, 8, 8],\n [-8, -4, 1, -10, 10, 7],\n [6, -10, 1, 2, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[10, 10, 0, -7, -5],\n [8, 7, -4, 10, -6],\n [-3, -2, 6, 0, 5],\n [10, 5, -3, -1, 0],\n [-4, -10, 10, -2, 6]]\nB =\n[[6, -1, 4, -9, 1, 8],\n [9, -6, 1, 2, -4, -5],\n [-2, -5, -2, 5, 9, 1],\n [9, -5, -8, 5, 0, 6],\n [-7, -2, 9, 8, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -5, -7, 7, -2, 8],\n [1, 5, 1, 1, -9, -9],\n [3, -8, 8, -4, -5, -2],\n [-6, -7, -2, -7, 4, 10],\n [-1, 3, -5, -1, -3, 0],\n [2, -4, 3, -7, -2, 10]]\nB =\n[[-10, 8, -3, -3, 5],\n [8, -5, -1, -2, -5],\n [10, 5, 7, -10, 7],\n [2, -1, -5, -4, 0],\n [-5, -5, 8, -8, 1],\n [-10, -9, 3, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2719", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -4, 8, -2, 10],\n [1, 10, 5, 4, -7],\n [-2, 7, -5, 5, 10],\n [-1, 1, -3, 7, -3]]\nB =\n[[0, -9, -5, -9],\n [1, -2, 3, -9],\n [6, 5, -5, -4],\n [-9, -2, -5, 8],\n [5, -9, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -8, -5, 6, -5],\n [1, 2, -4, 0, 2],\n [9, 2, -7, -9, 8],\n [3, -3, 4, 4, 6],\n [-3, -10, -6, -2, 0]]\nB =\n[[7, 9, -9, -9, -2, -4],\n [9, 5, 5, -6, -10, 2],\n [3, 1, 7, 8, -8, -2],\n [0, -7, -10, 2, 4, -4],\n [-3, 2, -2, 7, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[2, -1, 3, 6, -5, -4],\n [6, -1, -4, -10, -3, 7],\n [-7, -6, 7, -2, 4, 6],\n [7, -10, 1, 2, -5, -1],\n [7, -3, 3, 7, 8, 8]]\nB =\n[[2, 10, 6, -5],\n [2, -7, 5, 5],\n [-2, 1, 6, -1],\n [9, 2, 8, -7],\n [2, 5, 1, -4],\n [-9, 0, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-10, -5, 8, 2, -9, 6],\n [8, 1, 10, -5, -7, 0],\n [-4, -5, -4, -8, -10, 9],\n [8, 0, -4, 2, -6, -10],\n [-4, 0, 0, 10, -10, -8]]\nB =\n[[5, 0, -3, -3],\n [7, 5, -9, -3],\n [-7, 5, 0, -1],\n [-5, 6, -9, 4],\n [-3, 5, -3, 6],\n [4, -5, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, 0, -8, -7, 1],\n [8, -6, -1, 4, 5, -7],\n [-5, -10, 1, 0, -9, 10],\n [10, -1, -5, 9, 7, 3],\n [4, -3, -7, -7, -2, -2],\n [-3, 5, -10, 7, 10, 4]]\nB =\n[[6, 0, 8, -1, -3, 5],\n [-1, -10, 9, 7, 9, -1],\n [-2, 9, 1, -10, 10, -2],\n [-6, 3, 9, 5, 7, -9],\n [4, 3, -9, 5, -3, -3],\n [-7, 0, -8, 7, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 2, -5, 7],\n [5, 5, -9, -7],\n [0, -9, -5, 2],\n [7, 0, 10, 8],\n [-6, 8, -9, -5]]\nB =\n[[5, 8, 9, 8, -2],\n [-9, -4, 9, 6, -1],\n [-5, -9, 6, -5, -2],\n [-1, 0, -7, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, -6, 1, 5],\n [9, -4, -6, -6, 5],\n [6, -7, -1, -1, -7],\n [0, -7, 7, -3, 1],\n [-6, 7, -10, 0, 2],\n [-6, 6, -9, -3, -9]]\nB =\n[[1, -8, 7, -5],\n [-5, 10, -3, -2],\n [-7, 10, -10, 7],\n [-10, 3, -10, -5],\n [-8, 10, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, 5, -7, 0, 7],\n [-6, -9, -10, -2, -4, 10],\n [-6, 5, 2, -3, 2, -3],\n [-4, -1, 8, 8, -10, 1],\n [7, 3, -9, -5, 7, -1],\n [-10, 5, 5, 4, -4, 1]]\nB =\n[[-6, 8, -9, 1],\n [-9, -10, 9, 5],\n [-4, 0, 9, -9],\n [-4, -10, 1, 8],\n [-9, 10, -10, 9],\n [-6, -9, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[9, 2, -6, -8, 7, -10],\n [-7, -4, 4, 4, -9, 2],\n [-6, -10, -4, 2, -6, 7],\n [-5, -7, 10, -8, -3, -2]]\nB =\n[[6, -4, -3, -6, -4],\n [-1, 6, 9, -9, -5],\n [4, -1, 10, 1, 7],\n [1, 7, -6, 1, 8],\n [7, -3, 3, 5, -5],\n [6, -8, 7, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-1, -1, 10, -5],\n [8, -1, -1, 2],\n [4, 3, -4, 5],\n [4, -3, -9, -6],\n [6, 0, 2, -9],\n [7, -3, 5, 7]]\nB =\n[[-1, -2, -8, 1, -8, -5],\n [-8, -4, 3, 7, -1, 5],\n [3, -4, 2, 5, 5, -10],\n [-4, -10, -2, 6, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -5, -10, 10, -10],\n [-9, 8, -9, -2, 7],\n [2, -1, -1, 9, -9],\n [5, -4, 1, -1, 6]]\nB =\n[[1, -6, 5, 7],\n [4, 9, 4, -4],\n [-10, -5, 10, 0],\n [2, 0, -5, -5],\n [7, 1, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 5, 6, 6, 8],\n [6, -9, 10, -7, 8],\n [-6, -8, -10, -3, 9],\n [-7, 2, 0, -9, 5],\n [2, 1, 1, 4, -6]]\nB =\n[[6, -7, -1, 8],\n [3, 10, -5, -5],\n [7, 7, 0, 4],\n [4, -7, -3, -6],\n [9, -1, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 2, -9, 2],\n [3, -2, 10, 9],\n [10, 7, -9, -9],\n [9, -4, 9, -6],\n [6, -7, 8, 7],\n [-9, 3, 7, 1]]\nB =\n[[2, -10, 0, -3, -6, 1],\n [-7, 2, -7, 10, 4, -4],\n [0, -1, -5, 8, -1, -1],\n [10, -2, 10, 5, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2316", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -5, 6, -9],\n [-6, -8, 0, 6],\n [-1, -6, -10, -4],\n [3, -7, 3, -4],\n [-3, -6, -1, 5],\n [0, 8, -9, 9]]\nB =\n[[-9, -3, 0, -7, 6],\n [4, -6, -3, -7, -4],\n [9, -5, -5, -4, 7],\n [9, -3, -3, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1446", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -6, 0, 7, 1],\n [10, -3, 8, 2, -7],\n [10, 4, -6, 2, 8],\n [-9, 4, 8, 2, -10],\n [-9, 10, -10, 7, -6]]\nB =\n[[3, -1, -8, 5],\n [10, 3, 1, -7],\n [1, -7, 9, -7],\n [-9, 5, -2, -5],\n [9, -8, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-3, 9, -1, 10, 6],\n [1, -7, 7, -7, 6],\n [-6, -2, 4, 9, -10],\n [7, 2, 0, -2, 9],\n [2, -1, 1, 1, 5],\n [-8, -9, 2, 0, 0]]\nB =\n[[-3, 9, 4, -3],\n [8, -3, 0, -10],\n [-3, -8, -2, 4],\n [4, -3, 3, -3],\n [3, 5, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 7, -2, -2],\n [8, 4, -6, -9],\n [-3, 0, 7, 3],\n [-6, 9, 1, 6],\n [5, 9, 0, -8]]\nB =\n[[-10, -4, -3, 1],\n [-4, 0, 1, -6],\n [-4, -1, -2, 6],\n [-1, -7, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 6, -7, -7],\n [-1, 5, -1, -8],\n [-5, -5, 3, 8],\n [-3, 3, 8, 8]]\nB =\n[[-5, -1, -5, 2, -4, 7],\n [-8, -9, -6, 6, -6, -4],\n [0, 6, 3, -8, 6, 2],\n [-9, 1, 9, 7, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 1, 7, 4],\n [7, 3, 3, -3],\n [2, -5, -7, 3],\n [-8, 4, -6, -9]]\nB =\n[[5, -9, 5, 0],\n [-7, 0, -2, 10],\n [4, -4, -3, -6],\n [-8, 1, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, 5, 9, 5, -4],\n [9, -8, -7, -5, 4, -3],\n [-10, 8, -8, -8, 0, 2],\n [-1, 2, -2, 5, 3, -10],\n [-7, -10, 2, -1, 8, 6]]\nB =\n[[-8, 7, -10, 1, -4],\n [5, -8, -10, -4, -9],\n [1, -6, -10, 8, 6],\n [0, 6, 5, 6, 1],\n [8, 0, 10, 8, -9],\n [-6, -6, -7, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "818", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 4, -1, -4],\n [6, 5, 10, 0],\n [6, -3, 10, 6],\n [6, -7, 5, -3]]\nB =\n[[-7, 1, 1, -5, 5],\n [-5, -6, -3, -1, 10],\n [-7, -9, -8, 7, 7],\n [10, 9, -9, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 6, -1, 2, 2, 9],\n [-9, -1, 7, 10, -10, -6],\n [-4, 9, 2, 3, 8, 1],\n [3, -9, -3, -4, -7, 9],\n [2, -5, 0, 2, 8, 6],\n [10, 3, -3, 0, 6, 0]]\nB =\n[[-10, -2, 2, 5, 9, 3],\n [-6, 2, -8, 5, -3, -4],\n [-3, 7, 4, 3, 2, 10],\n [-10, -2, 6, 4, 4, 3],\n [6, -7, -2, -10, 0, -5],\n [-1, 2, 10, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-10, 8, 9, 2],\n [-7, -8, -9, -10],\n [-8, -10, -1, 0],\n [-10, 1, -7, 5],\n [9, 9, 3, -5]]\nB =\n[[9, 4, 2, 1],\n [8, -7, 3, -9],\n [-8, 8, 5, 9],\n [1, 5, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, 10, 10, 3],\n [-7, -8, 7, -2],\n [0, -6, 9, 8],\n [-9, -7, -2, -8]]\nB =\n[[-7, 2, 0, -8],\n [3, -6, 3, 6],\n [0, -8, 6, 2],\n [5, -10, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, -4, 6, 2, 10],\n [-1, 1, -2, -2, -4, 5],\n [-10, 3, -1, 4, -4, 8],\n [0, 7, -10, 10, -1, -6],\n [4, -7, -2, -10, -2, 2]]\nB =\n[[8, -6, -5, 3],\n [-10, 8, 9, -7],\n [9, 7, 2, -4],\n [8, 0, 3, -6],\n [2, 4, -10, 10],\n [7, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -2, 4, -8],\n [-4, 3, 0, -6],\n [-6, 0, 6, 7],\n [5, -9, -2, 4],\n [-8, 7, 7, -6],\n [-9, -5, -10, 2]]\nB =\n[[-6, -7, -8, -3, -8],\n [8, -9, -9, 4, 8],\n [-2, 7, 7, 3, 6],\n [1, -4, -9, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1051", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-9, -4, -9, 6, -2, 9],\n [-5, 7, -1, 3, -2, -3],\n [2, 5, 8, -10, 5, -9],\n [9, 3, -3, -7, 1, 8],\n [0, 9, 7, -5, 2, 9],\n [8, -7, -1, 0, 10, 9]]\nB =\n[[-6, 7, 3, 1, 1, -9],\n [9, 2, 1, -10, 9, -8],\n [6, 2, -10, -10, 7, -10],\n [3, -5, 1, -1, -1, -10],\n [3, -9, -6, -4, 6, 3],\n [5, 9, 5, -9, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, 10, -7, -8],\n [4, -8, 6, -7, 0],\n [7, -4, 6, 8, 8],\n [1, -5, 3, 7, 2],\n [6, -10, -6, -2, -3]]\nB =\n[[5, -6, 7, -9],\n [4, -10, -7, -1],\n [-5, -3, -1, -10],\n [6, -8, -4, -6],\n [10, -3, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1689", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 4, 4, -2, 4],\n [-1, 6, -9, -4, -2],\n [4, 8, -7, -10, 9],\n [2, 10, -6, 5, 5],\n [-8, -9, -8, 1, 10]]\nB =\n[[-5, -10, -7, -5],\n [1, 5, -5, 9],\n [2, 5, 0, 5],\n [-6, 1, -8, -1],\n [3, -3, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 7, -4, -10, 5, 1],\n [7, -8, 1, 9, -9, 9],\n [5, -9, 0, 10, -5, 3],\n [-5, 1, -10, -8, 9, -2]]\nB =\n[[9, -5, -2, 9, 5],\n [-2, 7, 8, 10, -6],\n [6, 8, 1, -4, -3],\n [-4, 10, 9, -8, -2],\n [-8, -7, -2, -10, 10],\n [0, -8, 1, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1351", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, -10, 7],\n [-8, -4, 4, -1],\n [-5, -6, 8, -5],\n [1, -6, 5, 1]]\nB =\n[[-4, -1, 2, 2, -3, 10],\n [4, 2, 6, -8, 3, -5],\n [4, 10, 3, -2, 2, -7],\n [-10, 3, 1, -6, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, 5, 4, -4, -4],\n [-2, 6, -6, 2, 5, 1],\n [8, -3, 6, -10, 8, 1],\n [-9, 5, -2, 6, 8, 8]]\nB =\n[[-6, -3, -3, -1, -10],\n [4, 6, -8, 2, 0],\n [7, -7, 5, 4, 3],\n [-9, -6, 3, 10, 1],\n [6, 0, 5, 2, 10],\n [4, 0, 9, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "623", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-8, 9, 2, 5, 1, 2],\n [-1, 1, -1, -1, -2, 2],\n [1, -6, 5, -8, 10, -4],\n [-4, -8, 0, 1, 10, 7]]\nB =\n[[-2, -8, -8, -10],\n [7, -3, 8, 8],\n [-8, 4, 8, -9],\n [-7, -8, -10, 5],\n [-5, -5, 3, 5],\n [10, -4, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-3, -10, 1, 7, 9],\n [4, -5, -2, 0, 5],\n [8, 7, -1, -10, -7],\n [4, 9, 4, -8, 3]]\nB =\n[[6, -2, 7, -7],\n [0, -3, -5, 7],\n [6, 0, 8, -6],\n [-3, 5, 10, -2],\n [6, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 3, 4, 0],\n [10, 9, -9, -9],\n [6, -3, -2, -1],\n [-10, 10, -9, 5],\n [5, -3, 9, -9],\n [-3, 4, -7, 6]]\nB =\n[[6, 5, -5, 2, 0, 7],\n [-5, -7, -4, 4, -4, -10],\n [3, 7, -4, -7, 1, -6],\n [-8, -10, -1, 0, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -9, -6, 4, 5],\n [-9, -10, -4, -3, 9],\n [-10, 7, -2, 6, -10],\n [0, 9, 4, -5, 10]]\nB =\n[[1, 6, -4, 7, -5, 7],\n [-1, 9, -4, 4, 6, 5],\n [-2, 6, 1, 10, -5, 0],\n [-10, 0, 10, -2, -6, -1],\n [10, 1, 10, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, -9, 6],\n [-1, 1, -3, 1],\n [9, 10, -2, 5],\n [6, -1, 10, 0]]\nB =\n[[-9, 9, 10, -5],\n [-5, -10, -6, 0],\n [0, 9, -9, 6],\n [-10, -2, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -8, -3, -5, 8],\n [2, -5, 10, 0, -8],\n [0, 10, 7, 2, -8],\n [-1, 9, 7, -4, -9],\n [7, -8, 2, 6, -6]]\nB =\n[[5, 8, -10, -5, -9, 0],\n [8, 9, -4, 5, -3, 8],\n [-1, -3, 5, -6, 5, -1],\n [-4, 7, -4, 3, 5, -2],\n [-7, 3, -8, -7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 2, 10, -4],\n [-9, -2, 10, -4],\n [4, 2, -6, 9],\n [4, -2, 10, -10]]\nB =\n[[-3, -3, 2, 10, 8, 4],\n [2, 6, -4, 9, 5, 8],\n [-6, 8, 0, -5, -1, 6],\n [-7, -1, 8, 1, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, -5, 2],\n [-5, 7, 9, 0],\n [-8, 1, 8, 5],\n [-10, -9, 1, -9]]\nB =\n[[9, -10, -6, -3, -1],\n [7, -10, 10, 10, 7],\n [1, 4, 8, 5, -6],\n [-9, -8, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "704", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 1, -5, 2, 6],\n [10, -10, -6, -8, 8],\n [3, -3, 7, -6, -6],\n [6, -8, -7, 4, 5],\n [8, 8, -6, 1, -6]]\nB =\n[[10, 4, -5, -9, -1, 4],\n [-1, -7, 9, -7, -5, 10],\n [9, 3, 3, 2, -9, -10],\n [-7, 4, -1, -8, 8, -4],\n [1, 2, 0, -2, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -1, 1, 1, -6, 7],\n [8, 9, -3, 2, 2, 9],\n [10, 0, -2, 8, 1, 6],\n [6, 1, 2, 9, -2, -2],\n [4, 8, -10, 0, -2, 3],\n [-1, -3, 10, 5, -1, 3]]\nB =\n[[-6, -10, 9, -9, -2],\n [-1, -5, 10, -6, 6],\n [-5, 9, -7, 5, 8],\n [3, -4, 9, -2, -2],\n [2, 3, 0, -6, 8],\n [-10, 9, 3, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -9, -7, 6],\n [-9, -1, 9, 8, 4],\n [2, -10, -6, 0, 0],\n [-9, -10, 4, -10, -7],\n [-9, 5, 0, 4, 7]]\nB =\n[[5, -5, -10, 3, 9, -9],\n [-3, -2, 3, -2, 10, -1],\n [-2, -9, 8, 0, -2, -8],\n [10, -6, -4, -4, 2, 1],\n [-2, 0, 4, 0, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 7, 0, -8, 9],\n [2, -9, -1, -4, -4, 5],\n [-9, 0, -7, 8, 8, -3],\n [-8, 2, 5, 5, 10, -4]]\nB =\n[[0, -9, 2, 2],\n [-9, -2, 3, -2],\n [-4, -8, -2, 1],\n [8, 1, -3, -3],\n [4, 2, 4, -6],\n [5, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -7, 2, 5, 2, -9],\n [6, 3, -6, 8, 7, 9],\n [-8, 8, -1, 8, -8, 5],\n [2, -10, 7, 9, 7, 7],\n [-9, 3, 3, 10, 5, 1],\n [-4, -1, -4, -1, -8, 5]]\nB =\n[[4, 9, 4, -8],\n [6, 1, -6, -9],\n [2, -7, 6, -2],\n [-2, -8, -7, 7],\n [7, 7, 4, -6],\n [-1, -2, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-578", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, -5, -3, -7],\n [6, -2, 7, -4, -6],\n [4, -9, -2, 2, -8],\n [6, 5, -2, -2, -2]]\nB =\n[[0, 8, 10, -3, 10],\n [2, -4, -1, -8, 2],\n [-3, -1, -2, 10, 5],\n [-10, -10, -6, -8, -2],\n [-5, -4, 1, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -5, -4, 5],\n [4, -4, -1, -8],\n [-6, 0, -6, -5],\n [7, -4, 7, -7],\n [-5, 0, -5, -2]]\nB =\n[[-1, 1, 7, 3, -3, -10],\n [1, 5, -1, -2, -3, 10],\n [4, -1, -8, 2, -5, 10],\n [6, 10, -7, -2, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 1, 0, -9],\n [-3, -2, 6, -9],\n [1, -1, -10, 2],\n [-6, 1, 10, 8],\n [-10, -9, -5, -1]]\nB =\n[[3, -7, -3, 0],\n [9, -9, 9, 7],\n [-10, 3, -8, -7],\n [10, 7, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1361", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-2, -7, 8, 5, 10, 2],\n [-4, 6, -3, -9, -5, 7],\n [4, 8, 9, -3, 5, 10],\n [-1, 3, -2, 10, -8, 4],\n [-10, 1, -10, -2, 6, -2]]\nB =\n[[-8, -10, 7, 10, 0],\n [0, 1, 5, 9, -7],\n [7, -8, 10, 10, 5],\n [-4, 1, -4, 0, -8],\n [6, 3, 0, 5, 3],\n [-4, -3, -1, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-10, -3, -5, 1, 5],\n [3, 9, 3, 0, -7],\n [6, 1, -5, 7, -5],\n [5, -5, -5, -8, 0]]\nB =\n[[9, 0, -6, 0, -10],\n [6, 6, -3, -10, -2],\n [-6, -10, 4, -7, -5],\n [-2, -3, -5, 0, -5],\n [1, 3, 5, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 4, -1, 10],\n [7, -1, -9, 7],\n [2, 3, 5, -3],\n [-5, 7, -4, 3],\n [9, -10, -2, 8],\n [-5, 10, 10, 1]]\nB =\n[[5, -6, -4, 7, 9],\n [-2, 9, 4, 3, 7],\n [3, -6, -8, -8, 5],\n [9, -10, -10, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 1, 0, -1, 9],\n [-9, 0, 4, 3, -6],\n [7, 10, -5, 4, -2],\n [-7, 3, 5, -1, 2]]\nB =\n[[-10, 4, 5, -10],\n [-1, -1, -3, -4],\n [9, 1, -4, -8],\n [-1, 0, 6, -9],\n [0, 7, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 0, -10, -4, -6, 7],\n [10, -8, 8, 2, 5, 9],\n [2, -10, 1, 5, -3, -3],\n [-2, 1, -3, -5, 1, -2],\n [-7, 8, 7, 9, -6, 7]]\nB =\n[[10, 10, -2, 6],\n [6, 1, -6, 10],\n [1, 10, -4, -5],\n [3, 0, -9, 2],\n [-6, -8, 5, -8],\n [-2, 9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -1, -1, -2, -9],\n [2, 9, -3, -4, 5],\n [5, -8, 9, -9, -3],\n [-5, -5, -8, 8, -7],\n [0, -7, -3, -3, -7],\n [6, -7, 9, 5, -10]]\nB =\n[[-10, 9, 2, 2, -10, 8],\n [-2, -2, -2, -3, -10, -9],\n [-2, 6, -7, -3, -6, -6],\n [-3, -9, 8, 5, 6, 6],\n [8, 5, 4, 10, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 3, 10, 3],\n [-6, 7, 1, -6],\n [-7, -1, 2, -5],\n [0, 2, 0, 4],\n [5, -10, -3, -6]]\nB =\n[[6, 1, -6, 6],\n [-10, 3, 1, -8],\n [6, 1, 0, 5],\n [-3, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -8, -9, -1, -1, 0],\n [-7, 5, 0, -4, 7, -7],\n [-2, -6, 6, -4, 0, 9],\n [-7, 9, -8, 2, -6, 4]]\nB =\n[[-7, -2, 0, -5, -9],\n [-3, -7, 10, -4, 7],\n [-3, -5, -3, 10, -1],\n [10, 5, -1, -1, 9],\n [6, 9, 4, -6, 4],\n [4, -10, 6, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "491", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-3, 8, -3, -10, 3],\n [7, 10, -1, -6, 1],\n [-9, 8, 3, -7, -4],\n [-8, -7, 7, -7, 1]]\nB =\n[[-2, 8, -10, 9],\n [8, 6, 7, -2],\n [5, 0, 8, 10],\n [-8, -10, 10, -7],\n [-7, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -8, 6, -7, -2, -9],\n [-10, -4, -5, 5, -9, 8],\n [-9, -3, 7, -7, 6, 5],\n [2, 0, -8, 5, -5, -5],\n [4, 2, 5, -6, 2, 5]]\nB =\n[[0, 8, 6, -5, -3],\n [-8, 1, 10, -2, -6],\n [4, 6, 3, 7, -6],\n [9, -9, 6, 1, -6],\n [-7, -10, 10, -9, 9],\n [6, 0, -8, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 1, -5, -7],\n [-9, 10, -8, 6],\n [-9, 1, 10, -2],\n [-9, -3, -2, -2],\n [10, -6, -4, 5],\n [3, -3, 2, -5]]\nB =\n[[9, -7, 1, -6, 7, 6],\n [-9, -1, -2, 6, 2, 7],\n [-6, -4, -9, -10, 8, 1],\n [2, 3, -1, 9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 6, 3, 3, 5],\n [4, 5, -8, -7, 3],\n [-10, -4, 3, 8, -2],\n [-8, -3, 2, 10, 9],\n [4, 9, 3, 2, -4]]\nB =\n[[-8, 9, -5, 2],\n [-1, 6, 2, -2],\n [-5, -6, 0, -7],\n [-6, 6, -6, 9],\n [-6, 3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1138", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -7, -9, 8, 6, -7],\n [7, 3, -3, 6, 2, -5],\n [1, -9, 8, -5, -2, -10],\n [6, -4, 10, -8, -8, -3]]\nB =\n[[-1, 4, 6, 7, -9],\n [-4, 7, -9, 8, -1],\n [3, -5, -9, -8, -9],\n [-3, -2, -2, 5, -4],\n [-7, -7, -5, 4, 8],\n [3, -5, -8, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 8, -6, -3, 4],\n [-7, 4, 8, -8, 7],\n [4, -8, -7, -2, -7],\n [-9, -6, -6, 5, 0]]\nB =\n[[-4, 4, 3, -4, 10],\n [-7, 8, -3, -5, -9],\n [-1, -10, 9, -8, -10],\n [-2, 3, 4, -3, -8],\n [2, -5, 4, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1440", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 8, -9, -9],\n [9, 8, 7, 5],\n [6, -7, 1, -4],\n [0, 5, 7, 0]]\nB =\n[[8, -8, 10, -8],\n [3, -4, -5, -2],\n [-7, -1, 1, -3],\n [7, 0, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -7, 9, -6, 10, 2],\n [-10, 9, -1, 0, 7, -6],\n [8, 6, 5, -6, 3, 8],\n [6, 7, 8, 10, 7, -1],\n [-10, -9, -9, 8, 4, -6]]\nB =\n[[-2, 8, -7, -7],\n [-10, -4, -9, 10],\n [-8, 10, -8, -7],\n [2, -8, 7, -10],\n [7, 8, -2, -9],\n [-10, 7, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, -5, 3, -9],\n [-3, 0, -5, 4, -6],\n [10, -5, -6, -4, 7],\n [4, -10, -2, 1, 2]]\nB =\n[[-8, 2, -8, -1, 5],\n [5, 0, -1, 9, 5],\n [4, 2, 6, 0, -8],\n [4, -7, 10, -8, 4],\n [-2, 3, 3, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-6, -5, 2, 9, 9],\n [-3, 0, 6, -3, 3],\n [5, 9, -5, -9, 0],\n [-6, -1, 1, -4, -10],\n [-4, 3, -4, -8, 9],\n [9, -5, 7, 3, -4]]\nB =\n[[5, -2, -9, -9, -7, 8],\n [-3, 0, -6, 9, -3, 6],\n [7, 4, 5, 2, 1, -4],\n [-3, -6, -9, 9, -7, -7],\n [-6, 9, 7, -3, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[6, 1, -10, -10],\n [-10, 1, -1, 6],\n [10, 0, 0, 1],\n [-4, 7, 8, -6]]\nB =\n[[4, 8, -2, 6],\n [3, 3, 1, -7],\n [9, 7, 7, 3],\n [-9, 2, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 9, -9, -7],\n [-4, 5, -7, -3, -2],\n [-4, 8, -7, -3, 1],\n [7, -10, 0, -6, 6],\n [0, -8, 7, -2, 2]]\nB =\n[[0, 7, 3, 6, -5],\n [9, 2, 4, -7, 2],\n [7, 5, -5, -4, 5],\n [-9, 5, -5, 9, 4],\n [8, -2, 5, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "974", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, -9, -10],\n [3, -7, 4, -4],\n [-5, -2, -6, 10],\n [7, -2, -6, -2],\n [0, -9, 6, 3],\n [-2, -2, 8, 10]]\nB =\n[[0, 3, 8, -4],\n [-2, -3, -10, -3],\n [4, -1, -2, 0],\n [4, -8, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[0, 0, -2, 2, -10, -2],\n [-8, -8, 0, 8, 10, 10],\n [3, -3, -5, 6, 8, 4],\n [-5, 4, 0, -7, -8, 3],\n [-6, 6, 0, 2, 2, 4]]\nB =\n[[-6, -7, -5, -1],\n [-8, -9, 1, -3],\n [10, 3, -10, 7],\n [-6, 2, -4, 1],\n [6, -1, -4, -1],\n [-1, -5, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[7, -2, -4, -10],\n [-8, 9, 1, -5],\n [-2, 3, 6, 10],\n [8, 7, 0, -2],\n [-10, 4, 6, -9],\n [3, -4, -10, 8]]\nB =\n[[-6, 6, -3, 4],\n [10, 9, -1, 4],\n [-8, -7, 6, 8],\n [9, 1, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -1, 9, -6],\n [-8, -7, 5, -5],\n [9, 1, 6, -9],\n [2, 0, 6, -5],\n [0, 4, -1, 8]]\nB =\n[[-3, -3, 5, -10, -5, 8],\n [-5, 0, -4, 2, -2, 8],\n [-3, 4, -5, -10, -1, -5],\n [-1, 3, 0, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-703", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, 0, 4, -2, 4],\n [6, 7, -2, -4, -3, 10],\n [6, -4, -4, 4, 0, 8],\n [10, 1, 4, -6, 7, 4],\n [3, -2, 0, -3, -7, -1],\n [-2, -1, 6, -5, -6, 6]]\nB =\n[[-10, 8, 3, -4],\n [2, 0, 3, 8],\n [-7, -7, 0, 6],\n [-6, -9, 2, -5],\n [6, 0, -6, 2],\n [-9, -9, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-612", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -8, -4, -1, 2],\n [-8, 3, 6, 9, 4],\n [10, 3, 7, -5, 6],\n [2, 2, 8, 3, -5],\n [-9, 7, 5, 7, 2],\n [-4, 7, -1, 2, -4]]\nB =\n[[10, 0, 3, -6, -7],\n [2, 6, 6, -2, 3],\n [8, 8, 4, -5, -6],\n [9, -2, -3, -1, 1],\n [-10, -9, -6, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 6, -9, -2, 5, -4],\n [-10, -8, -7, -4, 5, -3],\n [-10, 10, 10, -7, -6, -2],\n [7, 6, 4, 4, -2, -5]]\nB =\n[[-9, 9, 10, 3, -8],\n [2, 4, -1, -7, -8],\n [7, -7, 8, -8, 5],\n [-10, -7, -3, 0, 9],\n [-2, -4, -3, 1, 5],\n [-1, -4, -8, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1754", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -3, 10, -2, -2, -1],\n [-10, -10, -3, 2, -7, -5],\n [-7, -7, 6, 10, 7, 0],\n [6, -7, 0, -8, 1, 2],\n [-7, -3, -6, -8, 8, -7],\n [-4, -9, -5, 8, -7, -6]]\nB =\n[[-7, 8, 8, -10],\n [-1, 1, -8, -9],\n [-6, 0, 3, 5],\n [-7, -6, 7, -2],\n [9, 8, 2, -10],\n [9, -9, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -10, 0, 3, -5, -8],\n [-9, -1, 3, 10, 7, -5],\n [-1, -8, -10, -10, -10, 7],\n [-9, -5, 0, -3, -1, 2]]\nB =\n[[-10, 1, 9, 5, 9, -1],\n [5, 3, -6, -6, 0, 4],\n [-5, 5, -7, 8, -1, 6],\n [-7, -4, -7, -8, 10, 1],\n [-7, 3, 8, 9, 6, -6],\n [3, -10, 4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-347", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-4, -7, 2, 4, -6],\n [-10, 6, -10, -1, 0],\n [2, -8, -5, 5, -10],\n [-10, 4, 5, 2, 6]]\nB =\n[[1, 4, -7, 7, 6, -3],\n [10, 2, 5, -7, 8, 1],\n [-1, 3, -4, 7, -2, -2],\n [-3, -5, 5, 4, 8, -2],\n [1, 6, -2, 9, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 8, 2, 0],\n [-3, -2, 9, 4],\n [-1, 2, 3, 2],\n [1, 5, 7, 5],\n [-3, -10, -10, 9],\n [4, 0, 4, 6]]\nB =\n[[-10, 2, -3, -5, -6, 6],\n [1, 10, 7, -2, -9, -5],\n [-8, -8, 0, 10, -9, -4],\n [9, -1, 3, -6, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -9, 8, -10, 7],\n [3, 1, 0, 7, -1],\n [2, -10, -4, -7, 5],\n [-3, -3, -4, -2, 3],\n [-1, -9, -5, -8, 9],\n [1, 5, 6, 2, -3]]\nB =\n[[8, 8, -9, 7, 10],\n [1, -8, -1, -9, 0],\n [3, 10, 6, -3, 5],\n [8, -1, 3, 10, 10],\n [10, -3, 7, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -10, -3, -5, 10, 8],\n [-6, 2, -2, -7, 6, 2],\n [6, 5, -3, 8, -6, -3],\n [4, -7, -9, -3, 5, -7]]\nB =\n[[-7, 7, -9, -8, -10, -3],\n [-9, 8, 9, 5, 6, -7],\n [-9, 7, 3, -4, -3, 10],\n [-9, -9, -10, 0, 4, 6],\n [-6, 8, 6, -3, -5, -4],\n [-8, -8, 10, 2, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, 2, -8, 10, 1],\n [5, -8, -10, 1, 9, -6],\n [-7, -8, 0, 7, 2, 1],\n [2, 9, -7, -7, -9, 10],\n [-6, 9, 1, 9, -10, -2],\n [7, -10, -1, -4, 9, 7]]\nB =\n[[0, -6, -3, -3],\n [6, 9, 5, 3],\n [5, -10, 9, 8],\n [-1, 6, 3, -7],\n [7, -5, 1, -2],\n [4, 8, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[1, -9, 2, -5, 0, 10],\n [-1, -2, -8, -5, -6, -6],\n [0, 6, 2, -8, 3, 1],\n [-4, 1, -9, 2, -6, -9],\n [2, -4, 2, 0, -8, 1],\n [-1, -4, 3, -6, 0, -3]]\nB =\n[[-7, -2, -9, 5, 10],\n [-2, -1, -8, 1, -3],\n [-3, -10, -9, -5, 3],\n [-8, 2, -2, -9, 1],\n [1, -1, -5, 7, 6],\n [7, 7, 3, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -10, 6, 1, 1],\n [-8, -6, 6, -6, -1],\n [5, -7, -10, -9, 3],\n [8, 5, 2, 7, -2],\n [-6, 3, 7, -6, 10]]\nB =\n[[3, 4, 5, 7, -7, -4],\n [-1, 7, -4, 8, 6, -3],\n [3, -8, 10, -9, 4, 7],\n [8, 5, 0, 7, -10, 10],\n [-10, -6, 0, -7, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-545", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -8, 6, 5, -3, -8],\n [4, 6, -1, -8, -1, 3],\n [5, 5, -6, -8, -9, -10],\n [8, 2, 7, -6, 10, 10],\n [-8, -9, 8, 7, -3, 5]]\nB =\n[[3, -1, 1, -2, 8, -2],\n [-1, 4, -3, -3, 4, 4],\n [7, 2, -1, -10, -1, -8],\n [6, -8, -5, 7, 0, 1],\n [0, -6, 2, 7, 2, 1],\n [1, 4, 0, -1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -2, 0, 4],\n [-5, -2, 3, -3],\n [9, -10, 5, 5],\n [-9, -2, -1, -7]]\nB =\n[[-2, 9, -10, 7, 6],\n [-2, 8, -8, 7, -3],\n [-7, 9, -8, 1, -2],\n [10, -6, -1, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "956", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -6, -2, 7, 5],\n [4, 7, 8, 8, -8],\n [-7, 5, -2, -5, -9],\n [-5, -7, 4, 0, 6],\n [-10, 3, -4, 6, -2]]\nB =\n[[4, 6, 3, -7, 7, 7],\n [6, -3, -8, -4, 1, 6],\n [1, 8, -8, -9, 7, 3],\n [6, 4, 6, 8, 10, 1],\n [5, 8, 1, -10, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 4, -9, -3, 9],\n [9, 8, 0, -8, 2],\n [10, -7, -7, 5, 9],\n [-10, 2, 3, -1, -3],\n [-1, -1, -7, -1, -5]]\nB =\n[[2, -6, -9, 7, -8],\n [7, 4, -6, -2, -8],\n [-10, -1, 2, -6, 10],\n [4, -7, 1, -1, 4],\n [8, 1, 8, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -6, 9, 5],\n [-7, 3, -5, 3],\n [-5, -5, -1, 6],\n [3, -10, -4, 9]]\nB =\n[[5, -3, 0, 5],\n [-6, -2, 4, 4],\n [-3, -6, 0, 2],\n [8, -9, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "945", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -6, 4],\n [0, 10, 1, 1],\n [0, 5, -10, -5],\n [6, 3, -5, -5]]\nB =\n[[-2, -10, -4, 0, -4, 8],\n [-3, 6, -9, 6, -4, 5],\n [0, 9, 0, 0, 2, -10],\n [0, -4, -8, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -9, -1, 2, -7, -6],\n [-4, 4, 2, -3, -4, -5],\n [3, 2, -7, -10, 5, 4],\n [3, -6, -4, -4, 6, -9],\n [-7, 2, -7, 6, 0, -6]]\nB =\n[[-7, 7, -2, 2],\n [-3, 8, 2, -1],\n [-8, -5, -8, -5],\n [-6, 6, 2, -8],\n [1, -8, 0, 3],\n [-8, -3, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 8, -5, -6, 5, 4],\n [-2, -8, 0, 2, -6, 4],\n [-3, 4, 1, 7, -6, 5],\n [-2, -3, -8, 9, -7, 8],\n [9, -10, -5, 0, -10, 0]]\nB =\n[[8, 2, 8, -9, -6],\n [6, 7, 8, 1, -7],\n [-5, -8, -7, -5, -3],\n [-1, -7, 9, 7, -6],\n [-8, 1, -8, 4, 1],\n [-5, -5, -6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -7, 2, -4],\n [-7, 0, 0, 1],\n [-5, 6, -7, 1],\n [0, -2, 6, 7],\n [-9, 6, -7, -9]]\nB =\n[[-2, -8, -5, -10, 5],\n [10, 7, 7, 9, 5],\n [-8, -6, -1, -2, -3],\n [-6, 2, -10, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2036", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 1, 10, -7, 3],\n [1, -5, -10, 0, -4],\n [-2, 6, 5, -1, -9],\n [-6, 6, 8, 5, 2],\n [0, 6, 4, 4, -8]]\nB =\n[[2, 1, -4, -4, 6, 10],\n [7, 1, -10, -6, 1, 5],\n [9, -6, 4, 1, -10, -2],\n [-2, 4, -3, 3, -4, -10],\n [0, -5, -7, 5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, 10, 1, 4, 8],\n [10, 8, 5, -9, 10, 7],\n [10, 9, 7, -8, 3, 9],\n [-2, 7, 0, 0, -5, -4],\n [-6, -4, -9, 0, -8, -7]]\nB =\n[[-10, 9, -2, 8],\n [3, 1, 3, 6],\n [7, 1, -10, -2],\n [6, 4, 6, -4],\n [-6, 10, -8, 9],\n [-6, 0, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, 2, 10, 2],\n [7, 1, 8, 4, 1],\n [8, 6, -1, -5, 6],\n [-7, -2, 10, -2, -3],\n [10, 7, 2, 10, 3],\n [4, 7, 10, 7, -8]]\nB =\n[[-10, -1, -1, -8, -4],\n [7, 0, -3, 2, 8],\n [7, -10, -1, 3, 0],\n [-8, -9, 2, 7, 6],\n [8, -7, 8, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-7, 7, 3, -6],\n [-10, -5, 9, -8],\n [-6, 4, 3, -9],\n [-7, -5, 0, -8]]\nB =\n[[-1, -3, 3, 2, 1],\n [-1, 10, -5, 2, -10],\n [-10, -4, 5, -2, -10],\n [5, -2, -9, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, -9, 2, -2],\n [10, -1, -10, 2],\n [-2, -4, -9, -3],\n [-6, 1, 4, 0],\n [9, 9, 0, -5],\n [-8, 9, -2, 4]]\nB =\n[[-9, -5, -1, 3],\n [9, -10, -10, 2],\n [-4, -8, 5, -9],\n [-9, 3, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, 0, 3],\n [7, 6, 10, 6],\n [-7, 5, -2, 10],\n [3, 2, -2, -10],\n [3, -6, -5, 1],\n [2, -7, -1, -3]]\nB =\n[[9, -4, 2, 7, 7],\n [0, -4, -9, 9, 0],\n [5, -3, -9, 4, 0],\n [10, -9, 6, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-9, -10, 1, 10],\n [-1, -7, 1, -1],\n [2, -5, 0, 0],\n [-5, 9, 1, 0],\n [-5, 3, -2, -1]]\nB =\n[[10, 4, 0, -3, 8],\n [6, 9, -2, -4, -9],\n [-5, 9, -4, -5, 8],\n [6, 3, -7, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[7, -2, -5, 6, -6, 2],\n [-4, 1, -6, 1, -5, 0],\n [9, 1, -3, -9, -2, -10],\n [-3, 3, -9, -8, -7, -10]]\nB =\n[[-4, 8, 10, 7, 0, 6],\n [2, -6, 1, 6, -5, -6],\n [4, 1, -7, -4, 2, -5],\n [8, -7, 6, 0, -1, 1],\n [-4, 8, 8, 5, -7, 6],\n [2, 9, 1, 2, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 6, 2, 3, -1],\n [1, -1, 6, -1, 1],\n [-5, -5, 1, 10, -2],\n [-7, 0, 0, 8, -5]]\nB =\n[[0, -2, 3, -3],\n [4, -8, -6, -6],\n [-2, -6, -2, 6],\n [10, 1, 8, 8],\n [-7, -5, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, 4, -2, -6, 0],\n [2, 8, -9, -5, 0],\n [-4, 10, 5, 4, 7],\n [2, 0, -7, 8, -4],\n [-5, 7, 6, 10, -5],\n [0, 8, -9, 9, -6]]\nB =\n[[-6, 1, -3, 6, 8, 9],\n [3, 6, -8, 5, -6, -10],\n [2, -1, -4, 6, 2, -10],\n [8, -8, 3, -9, -3, 0],\n [-8, -2, -1, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, -3, -4, 1],\n [5, 4, 10, 7, 4],\n [-3, -6, 3, 5, -4],\n [-6, 8, -2, -8, -6]]\nB =\n[[-7, 4, 8, 5, -8, -10],\n [6, -7, 9, 7, -5, -10],\n [-3, 9, -3, 9, 1, -6],\n [1, -3, -6, 0, 5, 6],\n [5, 1, -7, 4, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 2, 5, 9],\n [-2, -1, -6, -2],\n [9, 8, -6, 0],\n [-4, -4, -8, -6],\n [-8, 1, 1, 4],\n [0, 5, -10, -4]]\nB =\n[[-6, 5, -7, 2],\n [0, 7, 6, -4],\n [1, 10, -8, -2],\n [4, 9, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 6, 3, 9, 1, 9],\n [6, -6, -6, 0, 9, 6],\n [0, -5, -10, 3, -2, -4],\n [-10, 7, 10, -5, 10, -1],\n [-1, -10, -2, -8, 9, 2]]\nB =\n[[-5, -5, -7, 7],\n [10, 1, -2, -5],\n [6, -4, -6, 1],\n [10, -10, 10, -6],\n [-7, 5, -7, 10],\n [2, 9, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 7, 4, -9, 3, -8],\n [-8, 6, 2, 4, 6, -5],\n [4, -2, -4, 0, -6, 4],\n [-7, -9, 0, -5, 1, -5],\n [10, 7, -6, -1, 7, 10]]\nB =\n[[-7, 10, -8, 4],\n [3, 3, 6, -9],\n [-8, 9, 8, 0],\n [10, 10, 0, 7],\n [5, 8, -8, 9],\n [-7, 9, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, 3, -3, 7, 4],\n [7, -5, 5, 7, -2, 7],\n [0, 6, 6, 2, 3, -8],\n [6, -1, -2, 8, -6, 9],\n [9, 8, -10, -7, 2, -9]]\nB =\n[[-6, 1, 5, -4, -4],\n [5, 7, -10, 5, -6],\n [1, -5, 10, -3, -8],\n [-2, 0, 0, 9, -4],\n [-1, -5, 0, 6, -9],\n [-1, -8, 5, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 10, -4],\n [7, -4, 2, -5],\n [-10, -7, -4, 8],\n [-8, -3, 6, 1],\n [3, -10, -3, -9],\n [4, 0, 6, -4]]\nB =\n[[8, -4, -3, -6, -3],\n [-3, -6, 2, -10, -6],\n [10, 0, 4, 10, 8],\n [9, -6, -6, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1345", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[8, 9, 6, -4, 5, 8],\n [1, 4, 5, -4, -10, -6],\n [10, -9, -2, -6, -10, -7],\n [8, 4, 7, 1, -5, 1]]\nB =\n[[-2, -6, -2, 5, 2],\n [8, -1, 7, -2, -9],\n [-10, 8, 2, 4, 10],\n [10, 4, -5, -3, 1],\n [8, -9, -4, 1, -1],\n [-10, -4, 2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -4, 4, -7, -8, 7],\n [8, 6, 1, -7, -4, -2],\n [7, -10, 5, -8, 0, -4],\n [2, -10, 10, -4, 4, -2],\n [3, 10, 8, 4, -4, 8],\n [-7, -5, -10, 6, -7, 10]]\nB =\n[[-1, -4, -4, 10, 5],\n [0, -1, 9, -1, -8],\n [9, 4, -2, 8, -1],\n [5, 1, -2, -8, 7],\n [-6, -6, 5, 7, 8],\n [-4, -4, 10, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, -6, 0, 4, 1],\n [-3, 6, 10, 2, -10, -1],\n [-5, 1, -3, 9, 5, 9],\n [10, 5, -7, -6, 1, -6]]\nB =\n[[6, -1, 3, -10, 1, 9],\n [-6, -10, -10, 4, 6, 10],\n [10, 8, -3, 4, 6, -5],\n [3, 2, -7, -3, 1, 3],\n [-10, -10, -3, -8, -9, 9],\n [4, -3, 8, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -3, 3, -1, 5],\n [4, 1, 4, -1, -7],\n [-4, 8, 2, 5, -5],\n [-1, 9, 8, -1, -4],\n [7, 6, 10, -5, 4]]\nB =\n[[2, -10, -1, -7],\n [-1, 8, 2, 8],\n [-2, -9, -2, 1],\n [4, -1, 8, 3],\n [7, -5, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1127", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-2, -5, -10, 6],\n [0, 1, 2, 5],\n [7, 5, -5, -4],\n [-8, 10, 8, -3],\n [4, 10, 10, -10],\n [-4, -10, -7, 1]]\nB =\n[[1, -9, 2, 2, 4],\n [-6, 2, -4, 0, 1],\n [10, 6, -10, -5, 8],\n [-8, 3, 5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, 2, -4, -1, -4],\n [-9, -6, -7, 2, -8, -8],\n [2, -7, -7, 3, -2, -4],\n [-7, 4, 5, -10, -9, -3],\n [-1, -5, 10, -5, 3, -1],\n [-4, 0, 10, -10, -1, -2]]\nB =\n[[6, 4, 0, -10, -9],\n [-7, -9, 0, -3, 4],\n [5, 0, 1, 7, -8],\n [-2, 7, 5, 0, -10],\n [5, -8, -1, 0, 2],\n [7, 2, 3, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, -10, 8, -6],\n [-8, -8, -3, -1, -4],\n [-8, -7, 7, 4, -5],\n [8, -8, -3, 3, 1]]\nB =\n[[10, 9, -8, 9],\n [-6, 1, -1, 2],\n [-6, 0, 0, -8],\n [8, 7, 10, -6],\n [-10, -3, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -5, -2, -1, 10, -1],\n [-2, 9, 5, 7, 4, -10],\n [-4, 9, 8, -10, 6, 6],\n [5, 1, -10, -3, 5, 0],\n [-3, -9, 10, 9, -2, -2]]\nB =\n[[0, -1, 2, 9],\n [7, 4, 5, -7],\n [6, -1, -9, 6],\n [-6, 9, 9, 0],\n [-10, 3, -9, -5],\n [2, 3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1221", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 7, 7, 9],\n [3, 8, 5, -3],\n [8, 1, 3, -10],\n [-7, -5, 1, 7],\n [10, -4, -9, 2]]\nB =\n[[-10, -10, 5, 7, -4],\n [-5, -10, 8, -1, 10],\n [-2, -2, -9, -7, -6],\n [-10, 6, 3, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-431", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[10, 3, -2, -8],\n [-4, 0, -3, 8],\n [-1, 9, -7, 0],\n [-1, 4, 10, -4]]\nB =\n[[-4, -3, 6, 5, 4],\n [0, -2, 5, 4, 6],\n [-1, -10, -9, 8, 2],\n [3, -1, -4, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, -10, -7, 6],\n [-5, -4, -7, -3, -3],\n [-1, 6, 1, -3, -7],\n [-10, 8, 7, -4, -4]]\nB =\n[[-4, -1, -10, 7, -6, -1],\n [-8, 5, 2, 8, 6, -1],\n [-1, -7, 3, 5, -4, 7],\n [5, 5, 0, 1, 0, -8],\n [6, -10, -7, 9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, -3, 6],\n [-2, -3, -2, 6],\n [3, -1, -7, -2],\n [5, 6, 4, 5],\n [9, 0, -2, 6],\n [3, -9, -5, 4]]\nB =\n[[5, -9, 7, -8, 10, 7],\n [-2, 0, -4, 10, -4, -7],\n [-6, -2, 3, -2, 9, -6],\n [-10, 9, 4, -3, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[7, -8, 8, -3],\n [2, -2, 5, 9],\n [-3, -5, 9, 0],\n [-7, 6, -2, -10],\n [10, -2, -3, -2]]\nB =\n[[0, -6, 8, -5, -10],\n [-2, -2, -6, -3, 9],\n [7, -4, 8, 7, -5],\n [0, 7, 0, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[10, 2, -7, -9],\n [4, -2, 3, -5],\n [-8, -5, -9, 5],\n [-2, 3, 4, 9],\n [-8, -2, 3, -2]]\nB =\n[[-9, 5, 5, 10, -6],\n [8, -3, -7, -5, -5],\n [-8, 0, -2, -10, 2],\n [5, 4, 10, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -3, 10, 3, -4, -3],\n [-7, 9, 5, -1, -5, 9],\n [-5, -10, 1, -9, -8, -2],\n [-8, 3, 4, -7, 0, -7]]\nB =\n[[-3, -5, 4, 6, -10, 9],\n [0, 2, -5, -6, 2, 0],\n [-5, 9, 5, -4, 4, 7],\n [-3, -10, -7, 9, 5, -3],\n [7, -10, -2, 8, 1, -3],\n [-10, -3, -10, 8, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2209", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 2, -6, -7, 10],\n [-4, 7, 5, -1, -3],\n [-1, 10, -9, 4, -5],\n [6, 9, 8, -6, -6]]\nB =\n[[-7, -5, 2, -8],\n [10, -6, -8, -5],\n [8, -6, -3, 9],\n [5, 10, 0, -10],\n [-1, 4, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -7, 0, 10, -1, -10],\n [-6, -6, 3, 3, -5, 10],\n [-4, -5, -9, -8, -9, -9],\n [7, -3, 8, -6, -3, 10]]\nB =\n[[-1, 7, 4, 0],\n [-10, 2, -4, -8],\n [-8, 9, 8, -4],\n [0, 2, -1, 5],\n [8, 1, -7, -5],\n [-1, 5, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1429", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -6, 0, -4, 3, 0],\n [0, 9, -3, -9, 3, -6],\n [9, 9, -5, -10, -9, -2],\n [-6, 5, -4, 7, -7, -5],\n [7, 1, -1, -3, -10, 2]]\nB =\n[[-7, -1, -10, -4, -8],\n [2, -7, -10, -1, -7],\n [0, -5, -1, 6, 3],\n [-7, 1, -9, 10, 3],\n [10, 2, 6, -9, -4],\n [-4, -4, -9, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-942", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 0, 6, 9, -7, -10],\n [-2, -2, 6, -2, -6, -4],\n [8, -4, -4, 1, -9, -2],\n [-9, -7, -7, -1, -4, -5],\n [8, -6, -8, 3, -6, -5],\n [0, -7, -10, 2, 7, -2]]\nB =\n[[-5, 5, -10, 10],\n [-6, 6, -1, 6],\n [-1, -7, -5, -9],\n [-2, -5, -8, 6],\n [5, -8, 0, 10],\n [8, -1, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -2, -6, 9, -10, -2],\n [4, -10, -5, -7, -1, -8],\n [1, 8, 8, -2, -7, 8],\n [0, -9, -9, -6, -5, -1],\n [-10, -3, 1, 8, 9, 2],\n [-1, -7, 10, -6, -6, -2]]\nB =\n[[4, -5, -5, 1],\n [-5, 8, 9, 4],\n [9, 6, -5, 9],\n [-3, -3, 6, -3],\n [1, 0, -10, 2],\n [3, 4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, -5, -10],\n [-8, 5, 2, -6],\n [1, 10, -5, -8],\n [-6, 8, -5, 0],\n [-10, 5, -10, 7]]\nB =\n[[5, -2, 10, -8, -9],\n [-4, -6, -8, 7, -2],\n [-1, -10, 1, 5, 3],\n [-2, -5, -8, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-6, 10, 5, 3, 2, 1],\n [-6, -6, 5, 7, 10, 8],\n [5, -2, 2, -1, 2, -2],\n [-10, -8, 1, -7, 1, -9]]\nB =\n[[-5, 5, -8, -3, 1],\n [2, -7, -5, 8, 5],\n [10, -1, -5, -8, -1],\n [-8, 2, -6, 8, 7],\n [5, 1, 9, -9, 0],\n [-4, -9, -10, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 10, 4, -10, 7],\n [-9, 7, -4, 8, -6, 4],\n [10, 9, 2, 5, 9, 4],\n [8, -10, -4, 3, -2, 5]]\nB =\n[[4, 7, 4, -5, -1],\n [-10, 3, -10, 7, 8],\n [-6, -1, -10, 5, -1],\n [-7, 0, 2, -9, 8],\n [-4, 0, -3, -3, 8],\n [4, -2, 3, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, 5, -2, 2],\n [8, 3, -9, 6, 5],\n [7, -9, -8, 9, -1],\n [8, 3, -8, -8, 0],\n [1, 8, -9, -6, 5],\n [3, -3, -6, 6, -3]]\nB =\n[[9, 1, 6, -2, -8],\n [-7, 7, 5, -5, 8],\n [6, -5, 9, 0, 4],\n [-2, 0, 2, -8, 7],\n [3, -6, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -5, -5, -3],\n [2, -3, 1, 4],\n [3, 1, -2, 9],\n [2, 10, -9, -5],\n [8, 3, 10, 7],\n [-10, -8, -9, -4]]\nB =\n[[0, 8, 3, 1],\n [-1, 1, -2, -5],\n [7, 7, 8, 9],\n [-1, -2, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -10, 9, -9],\n [7, 10, -1, -6],\n [-4, 6, 3, -9],\n [-10, -1, 4, -5],\n [4, 0, -2, -5],\n [0, 0, 3, -3]]\nB =\n[[-8, 3, -8, 9, -8, -8],\n [6, -10, 0, -10, 6, -1],\n [-5, 0, -4, 9, 5, -10],\n [6, -10, 7, -6, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1938", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -4, 3, 10],\n [8, 0, 7, -8],\n [7, -6, 3, -4],\n [-8, -9, 0, 7]]\nB =\n[[0, 5, 4, -10, -2, -4],\n [1, -10, 6, -4, 4, -2],\n [-10, -2, 0, -4, 9, 0],\n [-2, 0, 8, 6, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 10, 0],\n [-7, -7, 2, -1],\n [-8, -2, -9, -3],\n [3, 0, 5, 4],\n [2, -9, 2, 10],\n [-1, -10, 4, -6]]\nB =\n[[-2, 7, -6, -5, -3, 10],\n [3, -9, 3, -9, 2, 0],\n [2, -3, 6, -10, 4, 4],\n [-8, -4, -1, 2, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1590", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, 2, 3],\n [5, 7, 4, 5],\n [10, 7, 9, -5],\n [-9, 5, -5, 1],\n [4, -2, 3, 7]]\nB =\n[[-6, 4, 1, -10, 5, -7],\n [10, -8, -10, 7, -1, 3],\n [-1, -10, 2, -1, 3, 10],\n [0, -3, -4, 9, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-1, -8, 7, -8],\n [8, -3, 4, -3],\n [4, -10, -5, -2],\n [8, 3, -2, 9],\n [5, -1, 8, -7]]\nB =\n[[3, -1, -8, 2, 6, 9],\n [-2, 0, -9, 5, 4, -2],\n [-9, 10, -10, 8, 3, -4],\n [-10, 3, -6, 6, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -5, 9, 7],\n [8, -8, -1, -4],\n [-2, 10, 5, -9],\n [-2, 2, 8, 3]]\nB =\n[[1, 7, 2, -1, 7, -1],\n [4, 10, -10, -2, -4, 2],\n [10, -4, 8, -7, 1, 9],\n [-5, 9, 4, 1, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -1, 1, -2],\n [8, -3, 9, -1],\n [-3, 7, 5, -10],\n [10, 7, 3, 2],\n [-5, -5, 3, 7],\n [-1, 4, 0, -1]]\nB =\n[[8, -5, 3, 2, 0, 10],\n [-3, -1, -1, -2, -7, 9],\n [-8, 10, 10, -1, 0, 7],\n [8, -10, -2, -7, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "695", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 9, 4],\n [-6, 10, 8, 8],\n [-3, -2, 4, -9],\n [2, 3, 3, 9]]\nB =\n[[10, 3, 1, 4],\n [6, 10, -3, 10],\n [8, -9, -4, 1],\n [10, -3, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-9, -5, 1, 10, 5, -7],\n [7, -1, 8, -8, 2, -10],\n [10, 10, 10, 8, 3, 5],\n [-3, -7, 4, -5, -3, -2],\n [-7, -3, 10, -9, 1, -4],\n [-2, -2, 3, -5, -6, 2]]\nB =\n[[0, -7, 1, -5, -9, -4],\n [10, 1, -7, -9, 0, -10],\n [-1, 5, 0, -4, 7, 3],\n [3, -6, -5, -8, -5, 8],\n [1, -6, -1, -1, -3, 0],\n [10, -6, -3, 3, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[7, 0, 1, 2, 8],\n [-2, -7, -2, 9, -5],\n [-10, 1, 7, -8, 8],\n [10, -4, -8, 10, -2],\n [5, 4, -10, -6, 9],\n [10, 5, 8, -3, 0]]\nB =\n[[5, 0, -1, -1],\n [5, 6, -6, -10],\n [-6, 2, -10, 2],\n [-7, -4, 5, 6],\n [0, 10, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[5, 7, -10, -2],\n [9, -7, -5, 1],\n [5, 6, 2, 5],\n [6, 1, 2, -4]]\nB =\n[[3, -1, -8, 10, 0, -4],\n [4, 8, 1, 5, 1, 7],\n [2, -4, 3, 4, 9, 6],\n [7, -2, 4, 5, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -3, -4, -2, -4, -4],\n [6, -8, -8, 2, 5, -3],\n [8, -6, -2, 4, -6, -10],\n [5, 7, 7, 0, -6, -4],\n [3, 2, 8, 9, 0, 8],\n [10, 0, 3, 8, 1, 5]]\nB =\n[[10, -10, 6, 6, 4],\n [6, -3, 3, 1, 5],\n [6, 0, 0, -10, 10],\n [-2, -8, -10, -1, 10],\n [-5, -5, 4, 8, -6],\n [10, 1, 0, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 0, -4, -10],\n [-5, -4, -10, 3],\n [-4, 2, -2, -6],\n [9, 4, 8, -6],\n [-5, -1, -3, 4],\n [5, 0, -2, 6]]\nB =\n[[4, -7, 10, -3, -8],\n [4, 4, 8, 8, -9],\n [-8, -8, 9, 1, 8],\n [5, 7, 6, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -5, -4, -3, -5],\n [-6, -7, 0, -6, 9],\n [-4, -7, -6, -1, -3],\n [-9, 4, -5, -5, -2],\n [-5, -1, 9, -7, 5]]\nB =\n[[-5, -9, -4, -2],\n [-3, -4, 2, 8],\n [2, -6, 6, -9],\n [4, -8, 9, -4],\n [-6, -10, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 8, 7, -3, 8],\n [2, 3, -5, 8, 3],\n [-6, -4, 4, 6, 6],\n [4, -6, -1, 0, 2],\n [-2, 8, -7, -8, 0],\n [-4, 2, 4, -6, -1]]\nB =\n[[-3, 2, -6, 10, 5],\n [-9, 3, -6, 8, -10],\n [7, -10, 8, -8, 1],\n [5, -3, -6, 7, 9],\n [-5, 5, 3, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -1, 0, 2],\n [0, 8, 1, 10],\n [1, -5, -5, 2],\n [3, 6, 7, 6]]\nB =\n[[-7, 6, 10, 0, -10],\n [2, 6, 6, 8, 7],\n [1, -6, -4, -10, -3],\n [4, 9, -10, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "936", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -3, 5, -5, -6],\n [-9, 6, 9, -2, 5],\n [-7, -4, 5, -8, -6],\n [-1, -8, -6, 6, -6]]\nB =\n[[2, -2, 5, 3, -7],\n [5, 7, -9, -4, 2],\n [1, -4, -8, 5, -6],\n [10, -7, -4, -3, -8],\n [6, 7, 7, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-512", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[10, 2, -6, -10, 10, 5],\n [4, -8, -5, -4, 5, -1],\n [6, 8, 7, 0, -4, 8],\n [10, 1, 1, 0, -10, -9],\n [4, -5, 2, 2, -3, 2],\n [-10, -2, -3, -4, -5, -6]]\nB =\n[[-5, -9, -2, 1],\n [-2, 6, 7, 1],\n [-3, -1, 5, -9],\n [-1, 5, -8, -8],\n [2, 1, -2, 0],\n [9, 8, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[0, 9, 10, 4],\n [3, -3, -2, -6],\n [-9, -1, -2, -4],\n [-2, 2, 2, 7]]\nB =\n[[5, 6, 4, -5, -10],\n [0, -8, 4, -8, -10],\n [-1, 8, 5, -2, -1],\n [5, 0, -2, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -2, 0, -6, 2],\n [-6, 9, -5, 2, 4],\n [4, -1, -7, -9, 10],\n [-7, -3, -5, 4, 0],\n [8, 9, 2, 3, 5]]\nB =\n[[-8, 3, -6, -5],\n [-6, 6, 6, 8],\n [-10, -1, 8, 9],\n [-2, -6, 8, -5],\n [7, 0, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 1, -9, -6],\n [-6, -10, 9, 3],\n [-5, 10, 10, -6],\n [9, -5, -4, 7],\n [-10, 4, -10, -2]]\nB =\n[[-7, 4, -9, -5, -8, 9],\n [9, -3, -4, -8, -3, -3],\n [-7, 3, 8, -6, -10, 1],\n [6, 5, 0, -6, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[1, -8, 4, 5, -8, 7],\n [8, -9, -10, 0, 10, 0],\n [5, -6, 1, 8, 2, -8],\n [10, -10, 2, 6, -4, 5],\n [5, -7, 1, 9, -4, 8],\n [-8, 3, -6, 1, 2, 7]]\nB =\n[[-8, -6, -8, 9, 0, 7],\n [2, -10, 5, 1, -3, -3],\n [8, -7, 9, 8, 8, 0],\n [1, 4, 1, 7, -8, 10],\n [8, -2, -7, 0, 4, -5],\n [1, 10, 10, -10, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 2, -2, 0, 10],\n [7, 5, -9, -6, -2],\n [2, -7, 2, -1, -6],\n [5, -5, 3, -2, -5],\n [-1, 2, -6, 5, -7]]\nB =\n[[6, -3, -6, 7, -7, -3],\n [10, 7, 3, 0, -6, 10],\n [10, 1, -8, 10, -5, -6],\n [-7, -10, 0, 4, -1, -8],\n [-8, 4, -6, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -8, -1, -4, 0, -7],\n [-5, 2, 0, -9, -6, 9],\n [7, 0, 8, -5, 1, -7],\n [0, 3, -9, 4, -3, 0],\n [3, -7, -3, -5, -2, -4]]\nB =\n[[-9, 7, 5, -8, 10, 7],\n [-2, 10, 3, 10, -5, -10],\n [-9, -1, -7, 5, 1, 2],\n [-5, -6, 2, -5, 2, -9],\n [2, 8, 2, 4, -8, 9],\n [-7, 2, 10, -6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "484", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, -8, -6],\n [-7, 0, -1, -9],\n [6, -1, -2, 0],\n [8, 2, -10, 1],\n [3, -5, 4, 0],\n [-5, -3, -4, 10]]\nB =\n[[-2, 2, 2, 8, 7, 3],\n [-7, 10, 2, 9, 6, -8],\n [-1, 6, -3, 8, 1, 5],\n [0, 1, -5, -3, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[8, -7, -9, 2, 3],\n [-4, 1, 1, -4, 1],\n [4, 8, 0, 7, -9],\n [-4, 6, 1, -5, 7],\n [-8, 5, 2, -3, 8],\n [-7, -9, 2, 3, -6]]\nB =\n[[-2, 9, -5, 8, -2],\n [9, -3, 8, 2, 2],\n [8, -6, 3, 2, -10],\n [0, 6, 5, 1, -7],\n [-8, 2, -3, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -4, 1, -8, -8, 6],\n [7, 3, -5, 7, 3, 4],\n [6, -10, -3, -7, -3, 2],\n [-9, 2, -2, 9, -5, -9]]\nB =\n[[8, -10, -2, -8],\n [-8, -2, 0, -7],\n [6, -5, 10, 3],\n [-7, 1, 3, 9],\n [6, 2, 2, 3],\n [-1, 3, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, 9, -5, 4],\n [-8, 6, -1, -7, -8],\n [3, -8, 0, 10, 9],\n [4, 0, -1, -9, -3],\n [-2, 7, -6, 5, 8]]\nB =\n[[6, 9, -4, -4, 7, 9],\n [9, 7, -7, -9, 4, 9],\n [-7, 0, 4, -8, 9, 1],\n [-1, -7, -1, -5, -7, -4],\n [-4, -4, -1, 4, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1709", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, 8, 8],\n [10, 7, 7, 4],\n [-3, 0, 7, 0],\n [1, -1, -3, -3]]\nB =\n[[-2, -4, -5, -7, 0, -6],\n [-5, -2, -7, 4, 3, 10],\n [9, -6, -4, -4, -6, 10],\n [1, 5, -1, 9, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 7, -7, 6, 5, -7],\n [-4, -4, 8, -1, -4, -8],\n [-1, -9, 1, -6, 3, -10],\n [-9, -3, -9, -5, 2, 1]]\nB =\n[[-1, 2, 0, -4, -4],\n [1, -10, 10, 9, -10],\n [-1, 0, -10, 6, 0],\n [-6, 3, -9, 6, 3],\n [10, -9, 9, -7, -1],\n [-2, 7, 10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1545", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 4, 3, 5, 6],\n [-7, 10, 4, -4, 10],\n [-4, 9, -6, -8, 7],\n [3, 10, -9, 5, -1],\n [-3, 8, 10, 0, 0]]\nB =\n[[5, 10, 3, -6, 2, -3],\n [8, 1, 3, -3, 1, 6],\n [-3, -8, 5, -3, -5, -6],\n [5, -4, 3, -2, 6, -6],\n [9, -1, 0, 7, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1865", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 5, 10, -3],\n [0, 8, 3, -3],\n [3, -1, -10, -2],\n [1, 1, 9, 4],\n [6, 10, 6, -1]]\nB =\n[[2, -1, 1, 7, 8],\n [-6, -2, 3, 1, 4],\n [3, -1, -7, 9, -7],\n [4, 10, -7, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-7, 8, 7, 1],\n [6, -4, 8, -4],\n [-2, 0, -4, -10],\n [-3, 3, 1, 10],\n [10, -7, -7, 0]]\nB =\n[[3, -9, -8, -9, -5, -10],\n [0, -10, 10, -3, 4, 2],\n [3, -3, -5, 9, 2, 2],\n [6, -1, -3, -8, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[6, 6, -3, -2, 6],\n [10, 1, -6, 3, 4],\n [4, 7, 10, -1, 0],\n [-4, -6, -9, -1, 4]]\nB =\n[[-7, -5, 6, 1],\n [4, 10, -7, 9],\n [-3, -4, 2, -3],\n [-3, -5, -2, 6],\n [-1, -9, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -9, 6, -6, -2, 0],\n [4, -10, 1, 1, 1, 1],\n [7, 7, -9, 8, -10, -4],\n [9, 5, 3, -5, -9, -4],\n [5, -4, -7, -10, -1, 8]]\nB =\n[[7, 2, -10, -2, -8],\n [0, 0, -7, -5, -5],\n [4, 1, 8, -1, 3],\n [1, -4, 4, -3, -3],\n [10, -1, 6, 6, 10],\n [2, -5, 5, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -5, -8, 10, 5, 2],\n [0, 9, 10, 1, 5, 3],\n [-10, -7, -2, 0, -1, -5],\n [-5, -1, -10, 6, 0, -5],\n [-9, 3, 10, -3, 1, 2]]\nB =\n[[10, -5, -2, -5, 3, 6],\n [-1, -2, 4, 4, 3, 2],\n [6, 5, 7, 9, 8, 5],\n [5, -9, 5, 10, -1, 4],\n [9, 0, 9, -4, 8, -10],\n [7, -2, -9, 0, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -10, 5, 2, -1],\n [-6, -6, 8, 4, 10],\n [7, 6, -3, 9, -1],\n [6, 7, -4, -9, -7],\n [2, 5, 10, 7, -5],\n [1, -5, -9, 4, 9]]\nB =\n[[6, 0, 0, 0, 2, 4],\n [-4, 3, -8, -7, 7, 4],\n [-10, 6, -6, -10, 5, 7],\n [0, 5, 10, -2, 5, 6],\n [9, -4, -6, -5, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2202", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-5, 4, -4, -9, -8, 3],\n [10, 2, -4, -8, 9, 8],\n [-6, 8, 8, 7, 10, -10],\n [8, -3, -2, -7, -3, 2]]\nB =\n[[0, -1, -9, 0, 0],\n [7, 1, 3, -8, -6],\n [-5, 8, 6, 2, -4],\n [10, 2, -8, -3, -6],\n [-2, 10, -2, 7, 4],\n [5, -7, -9, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 9, 5, 10],\n [-4, 2, 10, 0, 9],\n [-6, 8, 7, 8, -7],\n [6, 6, 8, 7, 10],\n [0, -9, -2, 1, 9]]\nB =\n[[-8, 3, -2, 7, -9],\n [2, -10, 3, 6, 3],\n [9, 0, -2, -9, -9],\n [6, -1, 6, -5, -9],\n [4, -1, -9, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-8, -4, 5, 8, -4, 9],\n [7, -3, -6, 4, 4, 7],\n [6, 9, -3, 8, -3, -9],\n [-4, 3, -4, -2, -9, -4],\n [-2, 6, 0, -9, -2, -6],\n [-7, -8, 5, 3, -9, -2]]\nB =\n[[-5, 4, 2, -5, -8],\n [5, 2, 0, -8, 2],\n [-10, 6, 7, -9, 5],\n [0, -3, -5, -8, 1],\n [-3, 9, 5, 8, 6],\n [10, -5, 5, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 6, 5, 2],\n [-5, 3, 8, -5],\n [-2, -2, -8, 9],\n [10, 4, 1, -1]]\nB =\n[[-7, -5, -10, -8, 6, 10],\n [2, -2, -4, -3, -8, -2],\n [9, 7, -7, 8, 0, -5],\n [7, 2, -1, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 3, -1, 4],\n [-3, -9, -9, 4],\n [-6, 7, 7, -9],\n [-7, 5, -4, 1],\n [8, 7, -7, -6]]\nB =\n[[6, -7, -2, 6, 5, 7],\n [-6, -1, -6, 4, -5, 9],\n [5, -2, 3, -7, -10, -6],\n [-10, -4, -7, -4, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -8, -3, -2],\n [-2, -7, -8, 7],\n [0, 0, 3, 2],\n [-2, 7, -6, -10],\n [-2, -3, 2, 4]]\nB =\n[[-8, -10, -4, -9, -10],\n [3, 4, 10, -1, -5],\n [-7, -9, 3, -1, -6],\n [-7, -4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, -10, 8, 1, 0, 3],\n [-2, -6, -2, 6, -3, 6],\n [-5, -2, 5, -7, 0, -1],\n [9, 7, -3, -3, 7, -7]]\nB =\n[[0, 3, -7, -2],\n [3, 6, 7, -4],\n [1, 8, 8, -6],\n [-9, -2, 6, 8],\n [-3, -8, -2, 9],\n [-8, 2, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[3, 6, -2, -6],\n [8, -10, 6, -10],\n [8, -7, -2, -4],\n [6, -9, 10, 6]]\nB =\n[[9, 7, -2, -1, 4, -8],\n [8, -5, 4, -8, 1, 6],\n [4, -1, -7, -1, 1, -9],\n [6, 1, -5, -4, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-2, -10, -7, 1, 4, 5],\n [-7, -4, -7, 1, -4, 3],\n [8, 7, 10, -5, 3, -7],\n [2, 10, 3, 6, 6, 6],\n [-2, 5, -2, -1, 2, 9],\n [-2, -5, 3, 0, -10, -5]]\nB =\n[[2, 1, 6, -2, 4, -10],\n [-5, -1, -10, -10, -5, -4],\n [5, -1, -7, 4, -3, -2],\n [-4, 5, 0, 9, 10, 9],\n [3, 4, 4, -8, 8, -4],\n [5, 7, 6, -6, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, 6, 3, -5, -10, 4],\n [4, 3, 3, 3, -10, -8],\n [4, -6, -5, 1, 4, 6],\n [-4, 3, -4, -2, 0, 1],\n [-3, -2, 7, 7, -5, 2]]\nB =\n[[-7, 6, -6, -5, 8],\n [1, -3, -6, -1, 6],\n [-9, -6, 5, -2, 4],\n [-2, 3, -2, 8, -8],\n [9, 10, -1, 3, 10],\n [-10, 9, -2, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, -5, -3],\n [5, 8, 10, 5],\n [1, 0, -4, 5],\n [1, -10, 0, 0]]\nB =\n[[-5, 5, -10, -1, -6],\n [9, 4, 0, 10, -9],\n [2, -9, 0, -5, -2],\n [-7, -1, -10, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 4, 8, 8],\n [4, 2, 3, -2],\n [-10, -3, 2, 6],\n [2, 8, 1, 8],\n [10, 2, 0, 4],\n [3, 2, 8, -9]]\nB =\n[[4, 4, 2, -9, -6, 6],\n [7, 4, 3, 6, 8, 6],\n [-1, -3, -3, 10, -4, 7],\n [-9, 0, -10, 3, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1967", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -8, -6, -2, 9],\n [-2, -5, -10, 3, 7],\n [9, -9, -8, 0, 2],\n [2, -4, 8, -9, -8],\n [10, -7, 9, -10, 10]]\nB =\n[[-9, -10, 7, -7],\n [-8, 10, 10, -6],\n [10, 10, -1, -1],\n [-10, 1, 2, -9],\n [0, -8, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-488", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, -10, 8, 1],\n [3, -9, -5, 5, -5],\n [-2, 1, -3, -1, -4],\n [-8, 5, 3, -9, 6],\n [1, 2, 9, 8, -8],\n [10, -7, -8, 10, 4]]\nB =\n[[3, -10, -6, 6],\n [3, -4, -3, 0],\n [6, -7, -1, -3],\n [7, -3, -1, 8],\n [4, -6, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[6, -8, 10, 2],\n [9, -4, 2, -4],\n [-5, 9, 0, -6],\n [-3, -4, -8, 7]]\nB =\n[[-6, -2, -3, 1, 2, 3],\n [2, 10, -8, 2, 3, 7],\n [-8, -1, -3, -7, 8, -2],\n [4, 3, -2, 7, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -6, -8, 2, 7],\n [-3, 2, 2, 0, 3],\n [3, 10, -2, -8, 9],\n [-4, -6, 6, 4, -10]]\nB =\n[[-6, -10, 10, 7, -2, 6],\n [-10, -9, 1, -7, -9, 2],\n [9, -2, -9, -3, -7, 2],\n [-6, 5, 4, 0, 5, 7],\n [4, -6, 3, 1, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1454", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[6, 4, -8, -10, -3, 4],\n [-6, 2, -8, -6, -3, -9],\n [3, 2, 8, -8, 5, 0],\n [5, 7, 3, -9, 6, 10],\n [-7, 9, -6, -8, 7, -7]]\nB =\n[[-10, -9, -7, -4, -3],\n [-1, 1, 1, -8, 7],\n [-9, 10, 0, 0, 4],\n [-10, 10, 8, 4, 2],\n [-8, 1, -3, 3, 2],\n [8, 6, -1, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -8, -7, 1, -4],\n [-9, -10, 9, 9, 3],\n [9, 0, 7, 8, -2],\n [-8, -3, -1, 5, -8]]\nB =\n[[10, -3, 4, -5],\n [4, 4, -3, -5],\n [-6, -3, 2, -7],\n [3, 6, 5, -8],\n [8, 7, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, -2, -8],\n [4, 1, -6, 5],\n [5, -5, -10, -6],\n [-5, 7, -1, -4],\n [-8, 7, -3, -3],\n [-1, 9, 7, -8]]\nB =\n[[-6, -2, -10, -6, -4],\n [-7, 5, -9, -7, -4],\n [0, 4, 4, -5, -8],\n [-3, 0, 0, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-775", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, 10, -8, 1, -3],\n [-9, 9, 8, -3, 9, 4],\n [-3, 7, 4, 6, -6, 5],\n [0, 7, 7, -2, -10, 2],\n [10, -3, -10, -3, -3, 4],\n [-2, -6, -9, -4, -1, -9]]\nB =\n[[8, 4, -10, -10],\n [-4, -7, -1, 3],\n [7, -1, 4, 2],\n [10, 9, -10, 4],\n [-7, 4, -8, -2],\n [2, -6, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1836", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[9, 10, 2, 6, -1, -9],\n [-5, -10, -4, -10, 7, 4],\n [-2, 9, -1, 6, 2, 3],\n [-10, 5, -9, -9, 8, -7],\n [1, -1, 3, 0, -5, 6],\n [6, -5, 5, 5, 2, -7]]\nB =\n[[-6, 5, -3, 2],\n [5, -2, 9, -6],\n [-2, -5, -5, -1],\n [-4, 2, 6, 7],\n [6, -7, -7, 4],\n [4, 3, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -10, 10, -3, -7],\n [2, 0, -5, 2, 9],\n [-8, 8, -9, 4, -3],\n [1, -7, -3, -4, 3],\n [-4, -7, -7, 6, 1]]\nB =\n[[0, 3, -4, -2],\n [4, -9, -3, 3],\n [7, 8, 9, 3],\n [6, -7, 2, -2],\n [-4, -3, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 9, 2, 3],\n [2, 7, 4, -1],\n [10, 5, -4, 1],\n [5, 5, -2, 9],\n [10, -4, 0, 10],\n [-8, 9, 5, 1]]\nB =\n[[8, -6, 8, 5, -7, 6],\n [-6, 7, 6, 2, -5, -1],\n [0, 8, 9, -10, 9, 7],\n [8, -8, -4, -6, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -2, 2, 1],\n [4, -6, 1, -7],\n [-3, -10, 8, -3],\n [5, 5, -5, 4],\n [0, -1, -8, 6],\n [-5, -2, 9, -8]]\nB =\n[[4, -6, -5, -6, -8, 1],\n [-8, 8, 8, -8, 8, 1],\n [9, 2, -6, 7, 10, 1],\n [1, 7, 10, 8, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[4, -9, 6, -8],\n [5, 4, 10, 6],\n [-1, 7, -8, 4],\n [-9, 1, -9, -8],\n [-3, -5, -6, 0],\n [-2, 2, -1, 9]]\nB =\n[[0, 5, 4, 3, 4],\n [1, -7, -10, -3, 10],\n [-9, -1, -3, 0, 0],\n [-4, 1, 5, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, 5, -3, -3, -3],\n [2, -2, 4, 1, -1],\n [-3, 4, -2, 6, -7],\n [-2, -3, 4, -3, -6]]\nB =\n[[10, -4, 9, 6],\n [-9, 0, -4, 8],\n [-5, 0, 10, 8],\n [2, -4, -7, 3],\n [6, 1, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 6, 1, 5, -7],\n [-8, -2, -8, -4, -3],\n [-4, 0, 3, 2, -9],\n [10, 5, 7, -7, -6]]\nB =\n[[4, -10, -9, 5, 9],\n [-6, -7, -5, -4, 8],\n [-2, 9, 7, -3, 1],\n [1, -9, -4, 0, 2],\n [-1, -7, -5, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1, -5, 5, 1],\n [-7, -6, 4, 0, 2, 4],\n [-5, -2, 10, 2, 3, -7],\n [7, 6, 8, 6, 5, -10]]\nB =\n[[-8, -3, 0, 8, 2, 8],\n [-3, 10, 0, -9, 4, 8],\n [-5, -10, -7, -7, -3, -3],\n [-1, -7, -8, -9, -1, 9],\n [9, 7, 8, 6, -1, 5],\n [-9, -7, -1, -5, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1351", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -10, -2, -8],\n [4, 6, 1, -4],\n [-9, 5, 7, -1],\n [-3, -4, -10, -1]]\nB =\n[[-3, -6, 3, -8, -7],\n [-3, -3, 10, 6, -6],\n [-8, 9, 5, 9, 3],\n [6, 6, 0, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1425", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, -5, 8, 10],\n [-8, 9, 4, -1, -1],\n [1, 2, -3, -2, 8],\n [10, -2, 3, 3, -9],\n [-8, -8, -1, 10, -4],\n [9, 6, 4, -8, 5]]\nB =\n[[-3, -9, -1, -4, 8, 6],\n [6, 8, 2, 7, 8, 0],\n [-9, -9, -1, -9, -9, -5],\n [-9, 10, 5, 1, 4, 2],\n [-8, -5, -8, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 5, -7, 0, -4],\n [0, -7, -1, -2, -3],\n [-9, -1, -1, -3, 4],\n [-10, 1, -9, 10, -6],\n [-9, -6, 1, 2, -3]]\nB =\n[[8, 4, 8, 9, -6, 7],\n [4, -10, -2, 0, 10, 1],\n [-7, 10, -2, 0, 1, -4],\n [5, 4, -4, 7, 4, 6],\n [6, 2, 0, -2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-652", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-3, -7, -10, 10, -5, -9],\n [6, 1, 8, -3, -6, 8],\n [-5, -6, 4, -3, -9, -9],\n [-1, 10, 8, -4, 1, -7]]\nB =\n[[-10, 7, 8, 3, -10, -10],\n [1, 4, 0, 10, -8, 7],\n [-8, 5, 9, -7, 1, 8],\n [-9, -8, -5, -9, -3, 4],\n [-6, -6, 1, -8, 1, -2],\n [-9, 6, -7, 6, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-7, -6, 2, 6, 5, 4],\n [10, -9, -5, 5, 0, -3],\n [-6, -1, 0, -3, -8, 8],\n [-1, 2, -3, 5, -5, -7],\n [-2, -9, 0, 4, -6, 1]]\nB =\n[[-5, -4, 8, -4, 6, 5],\n [2, 9, 5, 6, -8, -1],\n [-8, -5, -2, 6, -8, 1],\n [-2, -7, 6, -5, 10, 0],\n [-8, 10, -3, 7, -2, 1],\n [-10, -6, -7, -5, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 9, 5, -2, 6, -8],\n [-2, -1, -2, 1, -10, -7],\n [-10, -6, -8, 2, 4, -2],\n [2, -8, 4, -8, -2, 3],\n [0, -2, 8, -4, 6, -5]]\nB =\n[[-5, 9, 1, 6, -4],\n [-5, 0, -4, 8, -10],\n [-9, 9, -9, -5, -8],\n [6, -3, 10, 2, -6],\n [-5, -4, 3, -7, 3],\n [-2, -3, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -2, -5, -8, 3, -2],\n [3, -9, 4, 2, -2, -2],\n [-2, 4, -6, -3, -7, 8],\n [-6, 1, -5, 8, 4, 4]]\nB =\n[[3, 2, -7, 10, -1, 6],\n [2, -6, 5, 3, 4, 8],\n [10, -3, 0, 7, 4, -9],\n [9, 10, -1, 4, -4, -8],\n [9, 4, -5, -10, -7, -2],\n [-5, -10, -2, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1590", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, -5, -3, -3, -9],\n [-5, -9, 6, -9, -2],\n [-4, -2, 8, 10, 4],\n [6, -9, -6, 2, -7],\n [-1, 10, 3, -9, 8],\n [-7, -1, 5, -7, -7]]\nB =\n[[6, -4, -6, -6, 6, -3],\n [6, -6, 0, 6, -8, 9],\n [5, 4, 8, 2, -7, 8],\n [-3, -9, -2, -1, -10, -1],\n [-7, -6, 1, -7, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, -2, 3, 0, -4],\n [2, -2, 9, 0, 7, -8],\n [3, 1, -2, -10, -2, 0],\n [5, 3, 2, -5, -8, -1],\n [10, 5, 8, -2, -5, 10]]\nB =\n[[-8, -9, -2, 6, 0],\n [-7, -4, -7, 5, -6],\n [-7, 9, -8, -7, -10],\n [8, 0, -10, -3, 10],\n [-4, 9, -8, 9, -1],\n [0, -6, 3, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 9, -4, 5, -1],\n [-7, 7, 7, -3, -7, -5],\n [8, 8, -10, 0, 4, -4],\n [-7, -8, 0, -5, -5, -7]]\nB =\n[[1, -10, -8, 8, 10, -2],\n [4, -10, -9, -2, 8, 9],\n [-7, -5, -5, 8, 9, -6],\n [-5, 1, 7, 7, -4, 8],\n [5, -2, 2, -4, -9, 4],\n [5, 5, 3, -4, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1698", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[3, -9, -4, -1],\n [3, -7, 4, 4],\n [4, -2, -6, 4],\n [0, -4, -10, 7]]\nB =\n[[2, 3, 10, -6, 7, -7],\n [1, 0, 7, -8, 2, -9],\n [0, 5, 9, 5, 6, -1],\n [-6, 7, 8, -8, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -9, 3, -5, -7],\n [10, -1, 6, 1, 6],\n [0, 2, 0, 9, -6],\n [4, -2, -10, 2, 2],\n [1, 6, 0, -5, 4],\n [6, -9, -5, 9, -9]]\nB =\n[[-3, 10, 0, -10, 9, 6],\n [4, -3, 3, 0, 3, 6],\n [-9, 4, -4, 6, -8, -8],\n [0, 10, 2, -1, -2, 4],\n [-3, 1, 0, -6, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -10, 8, -3, -3, -2],\n [4, 8, -9, 2, -4, -7],\n [-9, 0, 10, 1, -1, 8],\n [4, -1, -6, -1, 3, 5]]\nB =\n[[-3, 6, 5, -10],\n [-6, -3, -6, 7],\n [-4, 5, 8, 4],\n [-5, -10, -2, 1],\n [-6, 1, -8, -2],\n [-7, -9, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -10, -5, 5, 4, -10],\n [-2, 1, -10, -8, 3, 6],\n [-5, 3, 9, -9, 10, -10],\n [3, -7, 2, 2, 2, 7],\n [-6, -8, 4, -3, -9, -4]]\nB =\n[[1, -1, -3, -5],\n [2, -10, 8, 10],\n [6, -6, 8, 0],\n [-4, 3, -6, 0],\n [-4, 6, 4, 2],\n [4, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-9, 9, 9, 8, 3],\n [-9, -8, -3, 4, 0],\n [5, 0, -2, 2, 9],\n [5, -2, 7, -7, 5],\n [-3, -5, 5, -10, -1],\n [-1, -6, 6, -1, 4]]\nB =\n[[3, 7, 7, 8, 6, -10],\n [2, -4, 9, -9, 9, 0],\n [-6, -9, 6, 6, 3, 10],\n [-7, 7, -10, 8, -3, 9],\n [-9, 8, -10, 2, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -2, 7, 1],\n [5, -8, 10, -9],\n [4, 1, 8, 7],\n [0, -3, 10, 0],\n [3, -8, -3, -6],\n [-2, -1, -5, -6]]\nB =\n[[8, 9, 8, 3, 7, -8],\n [9, 5, 10, -9, 10, 6],\n [-7, -4, -8, 8, 1, -5],\n [-1, -2, 7, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 6, 10, -2, -10, -2],\n [0, -6, 7, 5, 3, -2],\n [-6, 7, 3, 1, 0, 1],\n [0, -8, 2, 7, 8, -4]]\nB =\n[[-4, 3, 0, 10],\n [-7, 8, -8, 4],\n [-2, -5, -6, 9],\n [0, -7, -8, -6],\n [-7, 2, 2, -8],\n [8, -9, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-6, 3, -6, -3, 4, 10],\n [10, -8, -5, -2, 6, -3],\n [8, 4, -2, -6, -10, 9],\n [2, 10, 10, -1, -9, -8],\n [10, 2, 10, 4, 9, -6]]\nB =\n[[-2, -2, 5, 5, 5, -5],\n [-6, 4, -4, 0, -6, -7],\n [-1, -6, 5, 10, -2, 9],\n [-10, 8, 4, 4, 2, -3],\n [-7, 5, 10, -1, -1, 8],\n [0, -2, 8, 5, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[8, 4, -3, 3, -7, -6],\n [-3, 2, -2, -8, -3, 1],\n [-3, -4, -1, 6, 4, -1],\n [1, 6, -4, -5, -5, -8]]\nB =\n[[3, 9, 0, 4, -8],\n [-4, -1, -2, 3, 7],\n [6, -7, 6, 10, -6],\n [-2, -8, 2, 4, 1],\n [9, 3, 1, -6, -6],\n [-1, -4, -1, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[1, 0, 5, -4, -1],\n [5, 10, -2, -4, 0],\n [4, -5, 6, -6, 2],\n [9, 2, 5, -2, -8],\n [6, -1, 8, -5, -6]]\nB =\n[[-1, -6, -2, 6, -5, -3],\n [6, 0, 5, 3, -6, 5],\n [-6, -2, -7, -8, -3, -4],\n [-10, -5, 3, -5, 7, -6],\n [10, 9, -5, -7, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-6, 0, 3, -1],\n [6, 6, -2, 8],\n [-1, 4, -7, 9],\n [-1, 0, -4, 0],\n [-7, 10, -3, -9],\n [1, 4, 0, -6]]\nB =\n[[-6, -1, 2, -4],\n [1, -4, 10, -10],\n [0, -8, 8, 6],\n [10, 7, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, -10, 3, 1, -8],\n [0, 7, 8, 5, -10, 9],\n [-8, -4, 3, 0, -1, 7],\n [-10, -10, 5, -4, 8, -2],\n [3, 3, 9, 0, -9, 1]]\nB =\n[[-7, 3, -6, -4, -8, 7],\n [6, 0, -3, -9, -4, 6],\n [9, -9, 8, 2, 4, 4],\n [6, 7, 5, -1, -5, 0],\n [1, -7, 4, -8, -4, -3],\n [1, 9, 3, -8, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -5, 3, 1, 5, -10],\n [-10, -2, -8, -10, -6, 9],\n [-10, -5, 7, 0, 9, -9],\n [4, -7, 4, -3, 9, -3],\n [-5, -6, -2, -3, -10, -6]]\nB =\n[[-6, 5, -8, 9, -4],\n [-1, -10, -4, -8, 10],\n [0, 3, 5, 7, -9],\n [-6, 10, -4, -2, 8],\n [3, 8, -3, 4, -10],\n [1, 6, 0, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -5, 5, 7, 7],\n [-3, -5, 5, -5, -8],\n [-3, 2, -7, 4, -7],\n [-10, -5, -4, 3, -10],\n [-6, 2, 4, -1, -10]]\nB =\n[[-3, 8, 1, -7, -2],\n [2, -10, -10, -1, -2],\n [-5, -6, -2, 3, 2],\n [-5, -2, 1, -10, 0],\n [10, 8, 4, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, 6, -9, 0],\n [7, 10, 4, -4, 7],\n [7, -2, 2, 4, -10],\n [-2, 7, 3, 7, 4]]\nB =\n[[-6, 8, 6, -9, -3, -9],\n [-4, -10, 4, 4, 8, -3],\n [-8, -1, -1, -6, -10, 4],\n [5, 6, 7, -2, 2, 9],\n [5, -6, 2, 9, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -3, -10, -2, 5, -7],\n [-2, 3, 7, 6, 0, 2],\n [3, 10, -8, 10, -9, 5],\n [0, 6, -5, -9, -3, 2],\n [2, -1, 7, 3, -4, -6],\n [5, 0, 5, 10, -5, -3]]\nB =\n[[-3, 0, 3, 9],\n [2, -7, 3, 10],\n [2, 1, -6, 0],\n [-7, -8, 3, -8],\n [5, -1, -4, 2],\n [-1, 8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 7, 5, 8, -8, 4],\n [-3, -7, 2, -2, 4, -6],\n [4, -10, 4, 5, -7, -2],\n [-5, 8, -9, -10, -3, -3]]\nB =\n[[7, -1, -3, 5, 9],\n [2, 2, -4, -8, -9],\n [2, 9, 5, 1, -1],\n [10, -8, -2, -6, 3],\n [9, 0, 2, 3, 0],\n [7, -9, 5, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 8, 8, 4],\n [3, 2, -10, 1],\n [-4, 3, 9, 7],\n [2, 0, -7, 9],\n [-7, 10, -4, 3]]\nB =\n[[0, 5, 6, 7],\n [5, 2, 8, 6],\n [-2, -2, 8, 0],\n [3, 6, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "743", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-8, -8, 0, 4, 5, -2],\n [6, 5, 3, -6, 6, 2],\n [2, 5, 10, 9, -7, 10],\n [7, 7, 10, 7, 8, -5]]\nB =\n[[-8, 10, 10, 5, -2],\n [0, 0, -8, -7, -4],\n [1, 3, 9, -3, -4],\n [6, -1, -7, -2, 6],\n [-10, 2, -7, -8, 9],\n [10, 7, 3, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 1, 7, -4],\n [0, 0, -7, 0],\n [8, 7, -3, 5],\n [6, 9, -5, 5]]\nB =\n[[8, -6, -9, -4, 9, -1],\n [4, 5, -5, -3, 1, 3],\n [-4, 0, 6, -7, 6, -1],\n [8, -6, 7, -6, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-4, -4, 0, 3, 0, 4],\n [0, -9, 7, -8, -8, 3],\n [4, 9, 3, -4, 1, -4],\n [-1, -9, -10, 3, -5, -7],\n [-10, -9, 6, -8, -5, -7]]\nB =\n[[4, 7, -5, -10],\n [-3, -3, 1, 7],\n [9, -6, 10, -4],\n [10, 5, 10, 4],\n [-1, -8, -5, -5],\n [-9, -10, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, -9, -6],\n [4, 10, 6, 4],\n [-9, 4, -5, -5],\n [-5, -2, 2, 9],\n [7, 0, 5, 2]]\nB =\n[[10, 8, 2, 7, 6, -3],\n [-1, -9, 10, 10, -1, -4],\n [5, -4, -7, 5, -7, 6],\n [-8, 1, -10, -5, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -8, 9, -3],\n [-7, 10, -3, -6],\n [-9, 5, -4, -9],\n [-3, -2, 1, 6]]\nB =\n[[-10, 2, -6, -10, -1],\n [-7, -4, 0, 3, -1],\n [-7, -6, -3, 8, 3],\n [-6, -4, 7, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "842", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 9, -5, -7, 3, -1],\n [2, -8, 4, 7, -10, -10],\n [3, 2, 6, -10, -2, 0],\n [-1, -4, -2, 2, 9, 10]]\nB =\n[[-9, -6, -8, 4],\n [7, 8, 1, -2],\n [-1, 2, 8, 6],\n [8, 7, -2, 2],\n [4, 2, -3, -8],\n [-3, 6, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -5, -6, -5, 5, -5],\n [10, -9, 4, 4, -8, 7],\n [-5, -6, -4, 0, 6, 7],\n [-1, 4, 4, 9, -7, -1]]\nB =\n[[-6, 10, 8, -10, 5, 0],\n [10, 1, -2, -4, -10, 4],\n [-7, 0, -7, 9, 0, -3],\n [-8, -3, -2, 1, 10, 8],\n [8, -3, 0, -1, 6, -2],\n [5, -5, -3, -4, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, -7, -3, -7, -9],\n [9, -6, 2, 8, 2, 9],\n [9, 1, 0, 1, -10, -3],\n [1, 5, -9, -7, 9, 7],\n [9, -1, -2, -8, 9, -1]]\nB =\n[[3, -7, -1, 6, -3, 4],\n [5, 7, 1, 0, 6, -8],\n [6, 4, 2, -9, 6, 0],\n [-5, -3, 9, -8, 8, 5],\n [10, 1, 5, -2, -2, -9],\n [-7, -3, 0, 10, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -5, 7, -10],\n [8, -3, 0, 7, 3],\n [6, -3, 7, 8, -6],\n [10, -7, 7, -1, -9],\n [2, 5, 0, -3, 7],\n [8, -9, 4, -10, 9]]\nB =\n[[-4, 9, -7, 6, -4, -1],\n [8, 2, -6, -7, -2, -5],\n [3, 5, -9, 9, 1, 3],\n [8, -2, -10, 5, -9, 7],\n [8, -1, 2, -1, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3172", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[10, -8, -10, 8],\n [2, 10, 8, 9],\n [6, 4, -7, -5],\n [9, -2, 6, -2],\n [1, 10, -9, 8]]\nB =\n[[9, 8, 10, -3, -4, 4],\n [8, -7, 1, 6, -9, 0],\n [-9, 6, -1, -2, 5, 0],\n [-8, -7, 6, 9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-3, -1, -4, -5, 8],\n [-6, 8, 3, 6, 8],\n [2, 1, 8, 6, -4],\n [6, 10, 7, 3, -8],\n [1, -7, 1, 5, 9]]\nB =\n[[-7, 9, -7, 8, -3, 0],\n [9, 4, 3, 6, -10, 2],\n [-5, 1, 5, 4, -10, 4],\n [-5, 4, -10, 9, -4, -5],\n [9, -4, 2, -5, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-2, 9, 3, -7, -7],\n [0, 7, -5, -8, 0],\n [4, -7, 7, -1, -7],\n [2, 1, 4, -6, 9]]\nB =\n[[-2, 9, -3, -1],\n [10, 1, -8, 8],\n [-5, 6, 8, 5],\n [2, -6, -3, 4],\n [2, 7, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[1, -6, 0, 8, 2],\n [1, 2, 0, -10, 8],\n [7, 9, 1, 10, -10],\n [-6, 3, 7, 2, -9],\n [3, -2, -1, 8, 7]]\nB =\n[[2, 5, 8, 6, 7, -3],\n [5, -1, -10, 7, 2, -6],\n [1, 8, 10, -8, 10, 2],\n [-9, -1, -5, 6, 1, 7],\n [10, -8, -7, 4, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 1, 9, -8],\n [-5, -2, 1, 9],\n [-1, 8, 3, 10],\n [5, 6, 10, -8],\n [1, -8, -9, -8],\n [1, 4, 4, 8]]\nB =\n[[-2, 4, -9, 4],\n [3, 3, -2, -4],\n [-10, 0, -2, -8],\n [7, 6, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[1, -4, -1, 9, -8, 6],\n [-9, 1, 4, 2, 1, 8],\n [9, -6, -8, 10, 8, 6],\n [-6, 9, 3, 0, -5, 0],\n [2, -2, 5, 0, 10, 7]]\nB =\n[[-9, 6, -8, -8, -2],\n [-6, 2, -10, 0, 2],\n [-4, -1, -6, 1, 2],\n [-5, -4, -9, -7, 9],\n [-1, 7, 2, 3, -6],\n [8, -10, 8, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 7, 0, -9, 8],\n [-8, 1, 0, 10, 9],\n [8, -10, -6, -2, -1],\n [-2, -2, 3, 0, -2],\n [-10, -3, 7, 0, 5]]\nB =\n[[-6, 4, -4, -10, 4],\n [2, -7, 2, 8, 0],\n [-8, 10, 7, 3, -1],\n [1, -4, -9, -4, -3],\n [-9, -10, -1, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1932", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 9, -5, 3, 7],\n [8, -6, 1, -3, 8],\n [-6, 8, -4, 3, 7],\n [-8, 3, 4, 9, -5]]\nB =\n[[-5, -3, -9, 9, 3, 4],\n [-1, -4, 4, -9, -5, 8],\n [1, 8, 4, 8, -10, -3],\n [2, 10, 9, 6, -3, -5],\n [-8, 3, 2, 4, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 4, -1, 9],\n [-3, 8, 9, -8],\n [4, -9, 5, 4],\n [7, -8, -6, 9]]\nB =\n[[-2, 1, 9, -9, -8],\n [2, -3, 8, -9, -4],\n [-10, -6, 3, 3, -3],\n [-5, -6, 1, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-392", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -10, -7, 9, -8],\n [5, 3, 3, -6, -6],\n [8, 10, 4, -10, -9],\n [-1, -6, -7, 4, -9]]\nB =\n[[0, 1, 6, 2, -1, -2],\n [-9, 10, 0, 6, -7, 7],\n [8, 8, -1, -6, -1, 0],\n [10, 3, 5, -4, -10, 4],\n [-2, -1, 5, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -6, 8, 5, 3, -1],\n [4, -2, -10, -10, -8, -7],\n [-3, 4, 1, -3, -10, -1],\n [0, 8, 0, 4, 3, -7],\n [5, 3, -9, 2, 7, 6]]\nB =\n[[-6, -6, -10, 2],\n [-1, -1, 4, 9],\n [-10, 8, -2, -4],\n [-4, -7, -5, -5],\n [-2, 5, -2, 3],\n [-7, -6, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1077", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 6, -7, -10, -9, 3],\n [-4, -10, -5, -5, 7, 7],\n [-6, 1, -8, 9, 8, -5],\n [-4, 0, -5, 6, -6, -7]]\nB =\n[[-2, 7, 8, 6],\n [-1, 4, 5, -8],\n [-7, -6, -2, -6],\n [-3, -8, -5, 5],\n [4, 9, -8, 2],\n [3, -8, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1131", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[0, 2, -7, -3, 9, 9],\n [6, 4, 6, 3, 9, -5],\n [9, 0, -5, 8, 2, -4],\n [10, -8, 4, 6, -2, 0],\n [3, 4, -3, 9, 7, -5]]\nB =\n[[-10, -10, -3, -8, 10],\n [8, -4, 0, 6, -1],\n [-1, 10, 0, 0, -10],\n [-8, 7, 5, -4, -3],\n [10, 0, 4, -6, -2],\n [-1, -10, -3, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 0, 10, -9, 4],\n [-1, -4, 4, 5, -4],\n [1, -5, -10, -7, 3],\n [7, -1, -5, 4, 0],\n [4, -4, 7, -2, -5],\n [-5, -5, 0, 6, 5]]\nB =\n[[-2, -3, 5, 0],\n [9, 6, -3, -10],\n [-4, -2, -6, 4],\n [-4, 2, -10, -10],\n [-4, -5, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, 9, -4, 2],\n [-4, -9, -2, 3, 5],\n [1, 5, -3, -7, -9],\n [-6, -6, -4, 5, 3],\n [-2, 5, -2, -7, 3],\n [-1, 0, -2, 0, 4]]\nB =\n[[-8, -2, -2, 6, -10, -7],\n [-2, 10, 4, -2, -1, 6],\n [4, -5, 2, 5, 7, 3],\n [-7, 0, 1, 3, -3, 1],\n [-10, 9, -5, -9, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-8, -7, -4, 8, -8, -8],\n [4, 9, 1, -8, -8, -10],\n [3, 1, -1, 3, 6, 9],\n [-10, 4, -7, -6, -8, -2],\n [-3, -7, -5, 7, 4, 10]]\nB =\n[[1, -1, -4, 9],\n [1, 2, 9, -9],\n [-1, -3, -7, 0],\n [4, 5, 0, -2],\n [-3, 10, -7, 10],\n [0, -10, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -7, 6, -3],\n [-4, 2, 6, -7],\n [-7, 0, 2, 9],\n [0, -4, -3, 8]]\nB =\n[[-10, 2, -5, 0],\n [-9, 4, 2, -2],\n [-10, 8, -4, 8],\n [-4, 0, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -7, 3, -10, -3, -4],\n [3, 4, 3, -6, -2, 10],\n [-1, 9, 1, 2, -6, -1],\n [-5, -7, 1, 0, 6, 6],\n [-1, 4, -9, -6, -4, 5],\n [4, 4, -1, -2, 2, 6]]\nB =\n[[-10, 6, 2, 3, -9, 2],\n [0, -9, 5, -7, 0, 8],\n [6, -1, -2, 0, -10, -5],\n [-6, 5, 7, 9, -6, 4],\n [7, 0, 4, 0, -8, -2],\n [-9, 9, 0, -10, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -6, 10, -5, -10, -5],\n [7, 4, 5, 6, -1, -10],\n [8, -4, 10, 10, 3, 1],\n [-7, -7, -3, 1, 2, 10],\n [0, 2, 4, -4, -3, -2]]\nB =\n[[8, -4, 8, 9, 9],\n [6, -10, 0, 4, 1],\n [-7, 0, 10, 1, 9],\n [-7, -10, -7, -5, 7],\n [7, 8, 3, 1, -9],\n [9, -2, -3, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -9, 3, 7, 4, -7],\n [-3, 2, 8, -10, 7, 3],\n [-1, 0, -1, -9, -2, -4],\n [6, 6, -4, -8, 3, 5],\n [0, -5, 4, 9, 7, 6],\n [7, 5, 9, 6, -8, 9]]\nB =\n[[7, 9, 6, -5, -10, 8],\n [-10, -4, -9, -6, -5, 10],\n [3, 4, -7, -5, -2, 4],\n [6, 2, -5, -9, 6, -4],\n [0, 8, 6, 10, 10, -4],\n [8, 5, 6, 2, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2971", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 2, 4, 6, -1, 2],\n [5, 1, 2, 5, -8, -10],\n [2, -7, -5, -10, -3, 0],\n [-3, -6, -2, -5, 7, 6]]\nB =\n[[-7, -5, 2, -6, -7, 3],\n [-1, -9, 6, -9, -6, -1],\n [1, 9, 5, -3, -3, 6],\n [-8, -8, -7, 9, 10, -1],\n [-8, -1, -2, -10, 3, 5],\n [-3, -1, -10, -2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-10, -1, -1, -2],\n [3, -9, -7, 9],\n [1, 5, -6, 5],\n [-1, 6, 6, 3],\n [-4, 2, -3, 6]]\nB =\n[[8, -8, -2, -4, 8],\n [3, 6, -5, -7, 4],\n [5, -8, -5, 9, 7],\n [7, -3, -10, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -4, -5, 10, -6],\n [3, -7, -1, -6, -7],\n [1, 10, 7, -7, 5],\n [7, -2, -1, 10, 3],\n [-2, 2, 9, -3, -4],\n [4, 8, 1, 6, -8]]\nB =\n[[2, -6, 8, -1, 0],\n [-6, -5, 5, -9, 7],\n [-5, 3, 6, 9, 9],\n [-10, 9, -6, -3, 0],\n [-2, 6, 8, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 1, 9, 7, -9, 5],\n [-3, 2, -7, -8, -9, -6],\n [-7, -5, 1, 7, -5, 1],\n [4, -3, -4, 9, 1, 5],\n [1, -10, -6, -8, -2, -3]]\nB =\n[[4, 2, 2, -5],\n [-10, 5, 2, 8],\n [-7, -2, 3, -8],\n [7, -10, -5, 2],\n [4, -9, 1, -3],\n [-3, -6, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 5, 7, -7],\n [5, 6, -10, 4],\n [-9, 2, 4, 5],\n [9, 3, 6, 3]]\nB =\n[[4, -6, -2, 7],\n [3, 0, 7, -1],\n [-2, 0, -5, -7],\n [-10, -7, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[8, 10, 5, 8, -9],\n [7, 3, 10, -3, 10],\n [-5, 6, 9, -5, -6],\n [-5, 6, 8, -3, -8],\n [-9, 3, 3, -3, -8],\n [9, 9, 7, -6, 2]]\nB =\n[[-6, -3, -3, -1, 9, 6],\n [5, 7, -1, 8, 5, 1],\n [2, 2, -3, -3, 0, 1],\n [3, -5, 8, 10, -4, 5],\n [1, -1, 9, 1, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-6, 3, -5, -5, 10],\n [8, 8, 10, -6, -8],\n [-8, 0, 10, -7, 7],\n [-5, 6, 4, -5, 6],\n [-1, -9, -4, -6, 7]]\nB =\n[[6, -6, 0, -8, 1],\n [10, -10, -7, 9, 6],\n [9, 2, 1, 3, -3],\n [5, -1, -6, -2, 2],\n [1, -1, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -8, -6, -5],\n [-5, -2, -10, 10],\n [-7, -2, 6, -3],\n [-5, 5, 8, -5]]\nB =\n[[-1, -6, -3, 3, 9],\n [5, 9, 2, 10, -3],\n [-5, -6, -5, 3, 9],\n [9, -8, -1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 10, -9, 10],\n [-2, -9, 1, 0],\n [-2, 3, -2, 9],\n [5, 10, 6, -10],\n [10, -2, -6, 0]]\nB =\n[[4, 6, 8, 4, -9],\n [5, -7, -9, 5, -5],\n [-6, 9, 9, 0, 3],\n [-9, -4, -5, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 1, 2, 8, -4, -9],\n [-1, 7, 5, 5, 6, -2],\n [3, -1, 3, 2, 2, -7],\n [5, -4, 3, 5, -7, -1]]\nB =\n[[7, -3, 2, 10, -2],\n [9, 0, -3, -2, 4],\n [-9, -1, 4, 4, 3],\n [1, -8, 1, -8, 5],\n [-3, -6, -2, -1, 10],\n [-5, 7, -10, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, -9, -1, -9, 6],\n [-2, 2, -4, 5, -2, 6],\n [-3, -7, 4, 1, 9, 0],\n [5, -10, -9, -10, -6, 0],\n [7, -9, 10, 5, 1, -3],\n [2, 0, -5, 5, -4, -1]]\nB =\n[[6, 4, -1, -4],\n [3, 9, 5, -8],\n [-3, 6, -2, 1],\n [2, -6, 4, 2],\n [9, 2, 9, -7],\n [7, -7, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 2, 10, 5, 4],\n [9, -3, -2, -4, 5],\n [0, -2, 3, 0, -3],\n [-4, -9, 7, 9, -1]]\nB =\n[[-3, -1, 2, 3],\n [-2, -4, -4, 2],\n [8, 10, 6, -3],\n [0, 3, -10, 10],\n [4, 9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[-9, -6, -2, 1, -2],\n [5, -3, 9, -4, 10],\n [-1, 1, -4, -10, -7],\n [-8, 1, -3, 3, 4],\n [7, -10, 4, 5, 6]]\nB =\n[[-3, -1, -1, 1, 3, 9],\n [-10, -5, 5, -9, 7, 3],\n [-2, 3, 8, -3, 9, 7],\n [2, 8, 1, -3, 5, 2],\n [-8, -5, 3, -6, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-3, 9, 2, -8],\n [4, 8, 9, 2],\n [8, -8, 0, 1],\n [9, -4, 5, 2],\n [2, 9, 9, 10],\n [7, 9, 4, 3]]\nB =\n[[-3, -7, -3, 7, 3],\n [6, 0, 4, -7, 10],\n [7, 3, -3, 10, -2],\n [-10, -9, 2, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[5, -9, -1, 1],\n [0, -8, 9, -4],\n [8, -7, -8, 7],\n [-3, -3, 2, 2],\n [2, 9, 3, 10]]\nB =\n[[-7, 8, -9, 1, 10],\n [10, -3, 8, 2, 10],\n [-5, -7, -9, -10, -3],\n [-8, -8, -8, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 3, -8, 8, -8],\n [4, -7, 8, 0, 8],\n [-7, -7, -1, -9, 7],\n [-3, -6, -7, 6, 1],\n [3, 6, 2, -6, -4]]\nB =\n[[-8, -6, -1, -4],\n [8, -8, 2, 6],\n [2, -6, -6, 3],\n [-5, 4, -9, 9],\n [2, -6, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -10, 6, 9, 2],\n [-10, -8, 0, -10, 10],\n [1, 2, -4, 3, 7],\n [0, -2, 4, -9, 10],\n [-9, -2, 10, -5, -5]]\nB =\n[[3, -1, -6, -10],\n [5, -6, -8, -6],\n [-8, -10, -6, -5],\n [8, -3, -8, -2],\n [6, 2, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-8, 8, -5, -6, 7],\n [-10, -1, 7, -4, 5],\n [7, 9, 5, -4, -8],\n [9, -5, 9, 4, -8]]\nB =\n[[0, -4, -7, 9, -2],\n [5, 1, -4, -4, -8],\n [-1, 4, -10, 1, 10],\n [1, 6, 4, -10, -2],\n [-6, 3, -5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 0, -8, -6, 0],\n [10, -9, -9, -1, -8],\n [8, -1, -7, -2, 10],\n [2, 5, -2, 10, 1],\n [-1, -6, -8, -4, -8],\n [0, 7, 3, -1, 9]]\nB =\n[[5, -9, -7, -9, -4, -2],\n [3, -7, 4, -4, 2, 10],\n [3, 3, 10, 6, 9, -7],\n [-4, -4, 4, 6, -6, 10],\n [5, 4, 10, 6, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -5, 3, 5, 1, 6],\n [10, -7, -3, 4, 5, 4],\n [5, -3, -3, 1, 8, -10],\n [8, -7, 6, 1, 6, -3]]\nB =\n[[-10, 10, -10, 8, -5, -10],\n [5, 10, 1, -6, 10, -4],\n [1, 7, -7, 2, 2, -4],\n [4, 3, -10, 0, 6, -4],\n [6, 7, -8, 7, -4, 8],\n [-2, -6, -1, 9, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -1, -10, -1, 3],\n [10, -7, -10, -6, 10],\n [0, 9, 0, 0, 5],\n [4, -8, -1, -7, 6]]\nB =\n[[6, -2, -8, 1, -5, -6],\n [-10, -7, -6, -2, 1, 10],\n [7, 9, 10, 7, 1, -6],\n [-7, 1, -3, -8, -6, -4],\n [7, 9, -3, -7, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, -1, 8, 1],\n [3, 1, 2, 8, 2],\n [-6, 9, -5, 4, 8],\n [-2, 7, 4, 2, -7]]\nB =\n[[-2, 1, 8, 10],\n [-10, 10, 0, -10],\n [0, 8, 3, -6],\n [10, 3, 5, -8],\n [2, -2, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 1, -4, -2],\n [2, 1, 3, -4],\n [8, -1, -7, 4],\n [-4, 2, 4, -3],\n [1, 1, 4, 2]]\nB =\n[[3, -4, -8, 7, -8],\n [-8, 6, -8, 6, -2],\n [-8, -10, -5, -5, -6],\n [-3, 4, 7, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[3, 1, 4, 4],\n [5, 9, 3, -9],\n [1, 2, -2, 9],\n [-1, 5, -3, 6]]\nB =\n[[-6, 4, -2, -9],\n [7, -7, 8, 3],\n [-5, 9, -5, -7],\n [-2, -9, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -3, 5, 8, 9],\n [-7, 9, 3, -6, -2, 4],\n [-9, 4, 5, -10, 6, -1],\n [6, 5, 8, -1, 8, -3],\n [7, -5, -4, 1, 6, -5],\n [-6, -8, 1, 8, -4, 0]]\nB =\n[[9, 1, 6, -3, -3],\n [-7, -6, -10, 5, 10],\n [-7, -9, 1, -2, -3],\n [6, 1, -4, -10, 5],\n [-6, 9, -8, 2, 2],\n [1, 5, 4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -5, 5],\n [2, -1, 0, 8],\n [3, 1, -6, 10],\n [9, 6, 9, -6],\n [-5, 1, 4, -4],\n [3, 9, -8, 10]]\nB =\n[[5, -6, -2, 9, 8, 7],\n [-8, -10, 7, 9, -10, 4],\n [6, 0, 10, -10, -9, -3],\n [3, 9, -5, -3, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2177", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 10, 0, -7, -2],\n [2, -7, -3, -4, -3],\n [5, -8, -10, 7, 4],\n [-6, 0, 3, 9, -4],\n [-5, 5, 7, -3, -4]]\nB =\n[[-8, -10, 4, 3],\n [0, 9, -8, 5],\n [-7, 10, 3, -2],\n [-1, -3, 9, 10],\n [7, -10, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -4, -4, -2, -9, 7],\n [-10, -9, -10, -3, -7, -6],\n [-6, -1, 1, -8, -9, 9],\n [6, 9, -4, -1, 2, -10],\n [-1, 4, -4, 9, -9, 4]]\nB =\n[[-5, 10, -5, 2, -4],\n [-8, -7, 5, -9, 1],\n [8, -2, -4, 7, -2],\n [5, -6, -3, 9, 1],\n [5, 5, -2, -1, -10],\n [-3, -8, -8, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1933", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -4, -7, 4, -7],\n [4, -9, -6, -8, 9],\n [-1, -8, -3, 5, 3],\n [2, 9, 3, -3, 10],\n [-7, 8, 7, -9, -4],\n [-5, -3, 5, 3, 8]]\nB =\n[[8, -7, -3, -6],\n [7, -4, -7, 7],\n [-1, 3, 9, 2],\n [2, -6, -9, 8],\n [-7, -5, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-6, 4, -10, -9, -10, 3],\n [6, 9, -2, 1, -9, 0],\n [-8, 9, 2, 8, -3, 3],\n [5, 4, 5, 10, -5, -9],\n [3, -5, 5, -9, -3, -9]]\nB =\n[[-2, -8, 0, -2, 8],\n [-2, -2, -6, 8, -3],\n [10, 3, -3, -5, 9],\n [2, 0, -5, -6, -6],\n [-8, 10, -6, 2, -2],\n [-1, 9, 10, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 9, -1, -6, 9, 8],\n [-1, 8, 5, -10, -2, -6],\n [10, -8, 8, 6, -5, 0],\n [6, -10, -10, 8, 6, -4],\n [8, 10, 7, 0, 7, 10],\n [-8, 1, -3, 10, 7, 9]]\nB =\n[[-8, 10, 4, -4],\n [8, 5, 10, -1],\n [-7, -1, -9, 7],\n [2, -9, -7, -4],\n [-5, 8, -3, -7],\n [9, 6, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 2, -6, 8],\n [-4, 4, -4, 2],\n [-9, -3, 6, -2],\n [9, 3, 0, -6],\n [5, -8, -7, -6]]\nB =\n[[5, 6, -1, 0],\n [-4, 3, 1, -6],\n [-9, -9, -3, 0],\n [-4, -4, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "945", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, -10, 1, 10, -9],\n [-3, -7, -3, 0, 4, -3],\n [6, 0, -6, -1, 7, 4],\n [-4, 9, -6, -6, -5, 0],\n [7, 8, -6, 1, 9, 8]]\nB =\n[[-1, 8, 3, 10, -8],\n [4, 0, 9, 2, -3],\n [-8, -1, -6, -7, 9],\n [5, -10, 7, 0, -9],\n [3, -5, 0, -5, -9],\n [7, 1, -5, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1908", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 5, -4, 7],\n [-10, 10, -4, -7, 8],\n [4, 2, -9, -5, -7],\n [9, -9, -2, 1, 8],\n [-7, -6, 2, 4, -10],\n [7, -5, 5, -10, 7]]\nB =\n[[10, -4, 3, 8, -2, -9],\n [-5, 10, -3, -10, 6, -4],\n [1, 2, -7, 8, 10, 8],\n [8, 4, 1, 2, 8, -4],\n [-5, 6, -5, -8, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -2, 5, 9, -6, 0],\n [7, -6, -3, -9, -3, 9],\n [5, -5, -7, 4, -4, 10],\n [-5, -6, 7, 8, -9, -4],\n [6, 9, -2, -7, 4, -2],\n [5, 8, 7, 5, -8, 10]]\nB =\n[[1, 8, 0, -9],\n [-1, 9, 1, -4],\n [7, -7, 8, 6],\n [5, 2, -8, -3],\n [6, -4, -1, 10],\n [0, -9, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, 9, 10, -1, 8],\n [0, 4, 1, 10, -3, -3],\n [-7, 8, -5, 3, -4, -6],\n [8, -4, -2, 1, -4, 9],\n [2, 5, 10, -3, 3, 5]]\nB =\n[[-10, 1, 9, 2, -5, 7],\n [2, -10, 4, 10, -5, -6],\n [0, 5, 0, -7, 9, 6],\n [8, 3, -9, 8, 7, -5],\n [7, -8, 8, 5, 0, 9],\n [5, 9, -3, 0, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, 6, 9],\n [3, 7, 5, 1],\n [-2, 9, 1, -4],\n [1, -7, 7, 7],\n [-2, 4, 2, -5],\n [-10, 1, 6, -6]]\nB =\n[[7, -6, -1, 5, -3, 3],\n [4, 9, 10, -2, -9, -5],\n [-2, -2, -2, 7, 5, -1],\n [2, -6, 5, -10, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -10, 10, -9, -1],\n [3, 8, 6, 9, -7],\n [0, 6, 1, 9, 1],\n [8, -10, 3, -7, 1],\n [3, 3, -4, 7, 0]]\nB =\n[[9, -3, -9, 9],\n [7, -10, 9, -1],\n [6, -6, 2, -7],\n [-8, -9, -9, -1],\n [-9, -9, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1440", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -8, 6, 0],\n [-10, 5, -4, -3],\n [8, -8, -9, 3],\n [-2, -1, -1, -10],\n [-6, -4, 10, -5],\n [-1, -8, 9, 10]]\nB =\n[[2, 6, -3, 10],\n [-9, 0, -6, 7],\n [6, -1, 10, -4],\n [-10, -2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[0, 3, -9, -8],\n [5, -3, 3, -2],\n [-1, 4, -9, 2],\n [-5, -9, 3, -7]]\nB =\n[[3, 9, 6, -2, 3],\n [4, 2, -1, -5, -4],\n [9, 8, -3, -2, 6],\n [6, 2, 2, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-4, -7, 0, -3, 1, -6],\n [0, 0, 1, -10, -1, -5],\n [0, 10, -1, 5, 3, -3],\n [8, -3, -9, -5, 1, -8],\n [-2, 2, 5, -10, -6, 9]]\nB =\n[[2, -6, -8, -7, 9, 8],\n [-4, -7, -2, 1, 3, 5],\n [-5, 3, -9, 10, -2, -1],\n [3, -2, 6, 9, 8, -4],\n [4, 2, 7, 6, -8, -8],\n [-5, 9, -3, -3, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, 4, -4, -5],\n [6, -10, 4, 1, 2],\n [8, 5, 10, -1, 10],\n [3, 5, 3, 0, -1]]\nB =\n[[-5, -10, 2, -6, -6],\n [6, 7, -10, 2, 9],\n [-3, -6, -6, 2, 1],\n [10, -4, 9, 9, -8],\n [7, 7, -8, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-771", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -10, -1, -8, -4],\n [-7, -5, -6, -8, 4],\n [8, -10, -1, 2, -6],\n [4, 10, -5, 3, 7],\n [-10, 0, -4, 5, 7]]\nB =\n[[3, -9, -7, -9],\n [4, 1, -3, 10],\n [2, -7, 0, -8],\n [5, -1, -10, 4],\n [-3, -4, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 1, 2, -1],\n [-8, 6, -7, 6],\n [-5, 1, -6, 2],\n [-8, -6, -5, -4],\n [2, -5, -4, -1],\n [10, 0, -5, 8]]\nB =\n[[-2, 6, -10, 7, -1, -8],\n [-1, -3, -10, 5, -7, -9],\n [3, 6, 7, 5, -5, 9],\n [4, -2, 3, 10, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1588", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 4, -1, -7, 8, -4],\n [-7, -7, -7, 8, -7, 1],\n [-2, -9, 5, -4, -8, 10],\n [-8, -8, 8, 0, 2, 4]]\nB =\n[[-4, -6, -3, 8, -9],\n [-2, -8, -2, 5, -8],\n [7, -10, 10, 5, 6],\n [-4, 2, -5, 8, -7],\n [-2, 0, 0, 8, 2],\n [-10, -8, 2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -6, -7, -1, 0, -2],\n [7, -10, -8, 5, -2, 0],\n [-2, -1, 10, 6, 8, 5],\n [-2, -9, -7, 3, -7, 4]]\nB =\n[[-2, -9, 0, -7, 0],\n [10, -5, 1, 7, -1],\n [-7, 4, 2, 6, 0],\n [7, -8, 10, -6, 2],\n [3, 10, -4, -9, -4],\n [-5, -8, -1, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-490", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -6, -7, -1],\n [-1, 6, -7, -7, -10],\n [-5, 8, -3, -2, 10],\n [7, -8, -4, 8, -9],\n [-1, 0, 2, 8, 3]]\nB =\n[[4, -3, 8, -10, -6, -7],\n [3, -5, 4, 9, -4, -4],\n [-10, 2, 6, 3, 2, 5],\n [4, 2, -5, -3, -5, 8],\n [10, -9, -4, -8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, 9, 5, -10, -9],\n [8, 6, 5, 6, -1, -2],\n [2, -2, -7, 6, 10, 6],\n [-3, 6, -4, 5, -8, -3],\n [2, 8, -3, 8, 0, 3]]\nB =\n[[8, 6, 2, 9, -6],\n [9, -1, -2, -4, 6],\n [5, 8, -8, -10, 5],\n [-9, 9, -2, 4, 3],\n [6, 9, 3, -2, -9],\n [5, 3, 9, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 5, -3, -8, 10],\n [1, -3, -3, 2, 4],\n [-5, 8, 5, -6, 10],\n [10, -9, 1, 3, -1],\n [4, 10, -1, -2, -4],\n [1, -6, -5, -5, -8]]\nB =\n[[5, -4, 6, -4],\n [9, 4, -4, -1],\n [7, 5, 6, 6],\n [9, -5, -1, 3],\n [-3, 6, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 6, 5, 5, 2, 1],\n [9, -10, 1, -10, -2, 9],\n [8, -8, 5, -2, 6, -10],\n [1, 9, -2, -2, -3, -9],\n [8, 0, 8, 10, -7, -9]]\nB =\n[[6, 5, -9, -7],\n [-4, 1, -6, -2],\n [2, 7, 0, -6],\n [8, -1, 1, 5],\n [-2, 0, 1, -4],\n [2, 7, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[-5, -4, -4, 1],\n [-4, 0, -2, 8],\n [7, -3, -7, 1],\n [7, -6, -5, -2],\n [-2, 10, 9, -4]]\nB =\n[[-9, 1, -2, 10, 9, 0],\n [-10, -8, -6, -10, 10, -6],\n [9, 1, 10, -5, -9, -2],\n [-8, 5, -3, -6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-2, -1, 0, 5],\n [1, 1, 9, 8],\n [0, 5, -10, 6],\n [-3, -4, 0, -5],\n [-6, -4, 8, -4]]\nB =\n[[4, 6, 5, -8],\n [10, -2, -3, 9],\n [-5, 6, -7, 0],\n [-2, 10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 4, -4, 9, 9],\n [8, -5, -7, 7, 9, 9],\n [6, -9, -3, 3, 7, 7],\n [-7, -7, -6, 4, -2, -1],\n [6, -1, 5, 5, 9, -8],\n [8, 5, 4, 4, -5, 6]]\nB =\n[[-1, 7, 6, -5, 2],\n [-5, 7, 6, 9, 2],\n [5, -5, 9, -6, 9],\n [10, 7, 3, 0, 10],\n [6, 4, -8, 8, -3],\n [4, 4, -10, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, -10, -4, 5, 0],\n [9, -4, -7, 3, 9],\n [10, 0, -5, -8, 8],\n [3, 7, 3, 1, 2],\n [-1, 0, -3, 0, -8],\n [-5, -3, -7, -8, -8]]\nB =\n[[10, 8, 6, 6, 2, -3],\n [-6, -3, -2, -9, -1, 5],\n [-7, 3, -2, 1, 10, 2],\n [-9, 6, 5, -7, 10, 0],\n [1, 8, -3, 6, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -9, 3, -1],\n [-1, -9, 9, 6],\n [-8, 8, -6, -6],\n [2, -3, -7, -8],\n [0, 10, 7, -5],\n [0, -8, 5, -3]]\nB =\n[[5, 9, -4, -8, 0, -2],\n [7, 9, 10, -10, -3, -3],\n [-5, -10, -7, 2, 1, -9],\n [-9, 2, 7, -5, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 7, 6, -7],\n [4, -7, 4, -3],\n [-5, 4, -9, 8],\n [8, 2, 7, 10],\n [-7, -7, -3, -2],\n [0, 6, -9, -5]]\nB =\n[[-9, -4, 2, 9],\n [-6, -1, -10, 3],\n [0, 8, 3, 10],\n [-2, 7, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 9, 8, 0, 1, 7],\n [-10, -2, -10, -2, 1, 3],\n [3, 3, -5, -5, -8, 7],\n [-6, -1, 10, 1, 2, 3],\n [6, 10, -10, 6, 7, 7]]\nB =\n[[10, 8, 0, -3, -9],\n [1, 9, 8, 0, 8],\n [-1, -4, -6, -9, 10],\n [-5, -5, -1, -5, -3],\n [5, 3, -10, 5, 3],\n [-8, -6, -5, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[8, 10, 10, 1],\n [-6, 7, -5, 1],\n [5, 4, 8, 9],\n [10, -8, -4, 2],\n [-5, 1, 3, -8],\n [2, 0, 7, -5]]\nB =\n[[-4, 6, 10, -6, 6],\n [-3, 5, 1, -2, -7],\n [-4, -9, -9, 7, 1],\n [-5, 7, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -2, 8, 4, -6],\n [6, 6, -5, 5, 10, 4],\n [6, -2, -3, -3, 2, -1],\n [-6, -10, 9, 5, 9, 1],\n [3, -1, -10, -10, 6, -2],\n [-2, -1, -1, -5, 4, 8]]\nB =\n[[-5, -2, 5, -8],\n [0, -6, 9, 4],\n [7, 8, 9, 0],\n [-5, -4, -10, 1],\n [-10, -9, -2, -2],\n [-8, 5, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, 6, -9],\n [4, 2, 0, -5],\n [-10, -7, -5, -2],\n [2, 6, 10, 2],\n [-6, 2, 6, -8],\n [-7, 1, -9, -10]]\nB =\n[[-1, -8, 9, -2],\n [1, 10, 7, -3],\n [-8, 9, 0, -9],\n [-1, 3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1619", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -10, -5, 7],\n [-5, 1, -1, 5],\n [-4, 4, 5, -1],\n [-3, -6, 0, 0],\n [-5, -4, -1, -3],\n [-10, -10, 5, 7]]\nB =\n[[1, 4, 4, 8, -6],\n [7, 9, 10, -3, -9],\n [-3, 0, -9, 7, -8],\n [8, 6, 9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 0, -3, 9],\n [6, 8, 5, 7],\n [-9, 4, -10, 1],\n [-8, 1, -6, 9],\n [7, 7, 7, -2]]\nB =\n[[-2, 2, 2, -5],\n [6, -10, -3, -9],\n [-3, 5, -3, 7],\n [6, 0, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-419", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -5, 5, 1],\n [-10, -10, 7, -1],\n [-8, 6, -6, -6],\n [-5, 3, -7, 0],\n [10, -2, -9, -4],\n [6, -6, 0, 9]]\nB =\n[[1, 0, 6, -3],\n [0, 9, -4, -10],\n [-5, -6, 3, 9],\n [-2, -8, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -6, -8, 7],\n [-5, -9, -2, 6],\n [-1, 3, -2, 3],\n [-8, 3, 6, -8],\n [-1, -4, 0, 1]]\nB =\n[[-4, 4, 0, 9, -3],\n [5, 9, -2, -1, 6],\n [1, 7, -7, 3, 1],\n [5, -4, -4, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1012", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 6, -2, -3, 3],\n [4, -6, -10, -2, 1],\n [-4, 10, 2, 7, 10],\n [-6, 2, -7, -4, -9]]\nB =\n[[-7, -7, 0, 5],\n [-6, -9, 3, -1],\n [10, -6, 6, -7],\n [-2, 5, -6, -10],\n [8, -3, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1216", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[4, 10, 6, 2, 9],\n [8, 8, -2, 2, -6],\n [-5, -8, 7, -7, 5],\n [8, 0, 9, 3, -2],\n [3, -2, -9, 0, -10]]\nB =\n[[-10, -8, -8, -10],\n [-8, 2, 1, 6],\n [7, -2, -10, -10],\n [10, -1, 0, 4],\n [5, 7, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 9, -5, -10],\n [-8, 9, -9, 9],\n [-2, 3, 3, -9],\n [8, 0, 6, 7]]\nB =\n[[4, -6, 6, 3],\n [-2, 2, -5, 0],\n [10, -5, 2, 7],\n [1, 0, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -5, 0, 1, -9],\n [-2, -7, -7, 6, 7],\n [-8, -10, 1, -1, -4],\n [-5, 7, 3, -8, 7],\n [-6, -4, -1, -10, -5]]\nB =\n[[7, -5, -6, 6, -5, 5],\n [-4, -10, 0, 5, -4, -3],\n [-6, -2, -6, 7, -8, -3],\n [-7, 8, -8, 9, 7, -6],\n [-1, 7, -7, 7, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -7, -8, 1],\n [1, -7, 8, -5],\n [1, 0, 0, 1],\n [-1, 9, -1, 7],\n [6, -1, -8, 2]]\nB =\n[[-1, 7, 9, -2, 0],\n [9, 5, -2, -1, -5],\n [1, -2, -3, -7, 2],\n [4, 3, 3, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1049", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-7, 3, -2, 4],\n [-10, 10, -5, -5],\n [0, -1, -10, 7],\n [-4, -5, -10, -3],\n [9, 10, 9, 0]]\nB =\n[[0, -10, -3, -1, -9],\n [-9, 8, 6, 9, 7],\n [10, 5, -6, 6, 0],\n [-4, 10, 6, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[4, -4, 4, 8, 5],\n [1, 6, 6, 3, -6],\n [-7, 7, 10, 6, -2],\n [-2, 0, -9, -1, -5],\n [3, 6, 2, -10, 8]]\nB =\n[[-3, 4, -6, -8, -7],\n [-8, 0, -7, -5, 8],\n [2, 4, 4, 8, 10],\n [-8, -1, -7, 0, 0],\n [8, -6, -8, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -8, -3, 0, 10],\n [-5, -9, 1, -9, 0],\n [5, -8, -6, -8, 2],\n [-4, -10, -8, 6, 9],\n [6, -8, 8, -4, -10],\n [0, 0, 5, 4, 5]]\nB =\n[[7, -2, -3, -8],\n [-5, -6, -7, -2],\n [3, -6, -4, -5],\n [-8, -8, 8, -9],\n [-10, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "851", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -1, 4],\n [1, 3, 6, -2],\n [-2, -4, -3, -4],\n [-3, -5, 2, 4],\n [4, -7, 8, 7]]\nB =\n[[-10, -9, -10, 2],\n [-6, 1, -2, 6],\n [4, -9, -4, -2],\n [4, -2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -7, 10, -6, 10, 7],\n [-10, 10, -7, 4, -9, 2],\n [-2, -10, 8, 1, -10, -2],\n [-9, 8, -4, 1, 0, -5],\n [5, -6, 5, -9, 8, -9]]\nB =\n[[-3, -5, 9, 4, 2, 7],\n [8, 9, -1, -3, 7, -8],\n [-5, 2, -1, 5, -5, -4],\n [5, 3, -7, 10, -3, 4],\n [-7, -8, -5, -1, -6, -4],\n [-5, -6, 1, -1, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-289", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 4, 7, -6, 10],\n [-5, 3, -1, 4, -6],\n [8, -5, 0, -3, 9],\n [0, 5, 4, -3, -6],\n [10, 7, 6, 4, 7],\n [4, 5, -1, 4, -4]]\nB =\n[[3, 4, 10, 10],\n [1, 5, -2, 9],\n [1, 8, 8, 8],\n [5, 8, -4, 7],\n [4, 7, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -2, -5, 0, -5],\n [9, -3, -5, -3, -2, 0],\n [7, -3, 3, -4, -7, -2],\n [2, -2, 9, -2, -3, -4],\n [-2, -4, -5, -4, -7, -8],\n [-2, 3, 1, -10, 3, -5]]\nB =\n[[9, 4, 3, 1, 9, 1],\n [10, 5, -5, -3, -7, -7],\n [-7, -2, -2, -10, -3, 10],\n [6, -1, -10, 9, -8, 8],\n [-1, -9, 5, -3, -2, 0],\n [-9, 1, 10, 7, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1763", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 4, 8, -9, 9, -3],\n [1, -1, -3, 10, -5, 6],\n [6, 3, 9, 2, 2, 2],\n [7, 7, -6, -6, 8, -8],\n [-1, -2, -2, 10, 5, -10]]\nB =\n[[-6, 2, -8, -10, 5],\n [1, -9, 0, -3, -4],\n [-5, 7, 10, 0, -10],\n [-6, -7, -10, 7, -6],\n [-8, 4, 5, -1, 4],\n [-9, 10, 10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[7, -6, 5, -3, 7],\n [1, 2, -8, 3, -8],\n [9, 2, 5, -7, -5],\n [-7, 2, 0, 0, 6]]\nB =\n[[-9, -3, 7, -8, -9, -8],\n [-8, -7, 1, -1, -1, -4],\n [-3, 5, -2, -7, 7, -3],\n [-5, 9, -2, 2, -4, -1],\n [7, -4, -9, 1, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, 7, -3, -2, -7],\n [4, 3, -1, 3, 9, 6],\n [-8, -4, 10, -8, -8, -7],\n [2, -5, 2, 7, 1, 7],\n [-2, -5, -2, 8, 6, 10],\n [2, 1, 10, 4, 3, -7]]\nB =\n[[-6, 10, 10, 0],\n [0, 2, 9, -10],\n [-4, 10, 10, 3],\n [7, -8, -1, -1],\n [-8, -6, -1, -9],\n [-5, -4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -4, -9, -8, 1],\n [-4, 5, 3, -8, 8],\n [-9, -4, 0, -8, 8],\n [2, 3, -4, -9, 3]]\nB =\n[[4, 9, 6, 10, 7],\n [9, 9, 1, -6, 10],\n [-3, 9, 8, -7, -5],\n [-9, 3, 6, -8, 3],\n [-3, 10, -10, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-627", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -1, 1, 0, 4],\n [1, -6, -3, -6, -8, -3],\n [-5, -10, -3, 0, -3, -8],\n [-2, 0, 9, 5, 4, 6]]\nB =\n[[9, -3, 1, 1, 2, 8],\n [8, -4, 10, -7, -3, 3],\n [-1, -9, -8, -4, 4, 4],\n [-10, -1, 4, 2, 1, 10],\n [5, 10, 6, 0, 6, -5],\n [7, -5, 9, 3, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -2, 5, -5],\n [-6, 6, -10, -10, 2],\n [-4, -2, -4, -2, 1],\n [-3, 0, 1, -2, -5],\n [-3, -5, 5, -8, 7]]\nB =\n[[-2, -1, 4, 6, 1, 2],\n [1, -3, -4, -5, 9, -4],\n [-1, -7, -3, -8, -10, -1],\n [10, 10, -7, 0, 4, -10],\n [6, -2, 1, 6, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 8, 2, 7],\n [-4, 2, 4, -6],\n [-10, -4, 0, -3],\n [8, 1, 6, 9]]\nB =\n[[6, 10, 4, -2, 7],\n [-3, -10, -3, 7, 9],\n [-1, 10, 5, -10, -2],\n [0, -3, 8, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 6, 2, -5, -4, 5],\n [-9, -1, 9, 3, -8, 10],\n [-4, 4, 6, 4, 3, -4],\n [3, -5, -1, 10, 6, 2],\n [-1, -2, 9, 8, 1, 6],\n [3, 0, -2, -6, 10, -9]]\nB =\n[[5, -10, 1, -9],\n [-1, 2, -5, -8],\n [5, -5, -4, 2],\n [-8, -9, 9, 8],\n [7, 4, 3, -10],\n [8, 4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1719", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 8, 10],\n [9, 10, 1, 5],\n [-8, 10, 2, 7],\n [1, 3, 1, 7]]\nB =\n[[9, -5, 0, 2],\n [-7, -1, 9, 9],\n [-3, 1, 8, 1],\n [0, -2, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 4, -3, 0, 1],\n [7, 8, -5, 6, -2],\n [-5, 0, 5, -5, -1],\n [7, 2, 7, 1, -1],\n [-10, -1, -6, -9, 1]]\nB =\n[[1, 8, -6, -7],\n [-10, -7, -4, 1],\n [5, 0, 1, -6],\n [-6, -7, -8, 6],\n [-4, 1, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1031", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-6, -1, 1, 8, -1, -4],\n [0, 9, 3, -3, 2, -2],\n [-7, -7, 5, -1, 10, 10],\n [6, -7, 8, 4, 3, -7],\n [6, -8, 2, -5, -8, 8]]\nB =\n[[10, -1, -2, -6],\n [-6, 0, 10, -4],\n [5, 1, -3, -4],\n [4, 0, -9, 4],\n [5, 8, 3, -1],\n [4, 10, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -5, 3, 9, -9],\n [-10, -2, -5, -9, -6],\n [-1, 0, 9, 0, 9],\n [6, 2, 0, 7, 3],\n [4, 0, 2, 6, -4]]\nB =\n[[0, 3, 0, -5, 2],\n [-1, 8, 8, -7, 3],\n [-7, 2, -6, -2, 4],\n [-7, 4, -9, -4, 7],\n [2, 5, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -3, 0, 4],\n [-7, -10, 8, -6, -3],\n [10, -4, -8, 4, 3],\n [-2, 8, 0, -8, -5],\n [-7, -8, -1, 10, 5],\n [1, 10, 8, 10, -3]]\nB =\n[[-2, 9, -6, 5],\n [10, 3, -7, 9],\n [8, -2, 7, -5],\n [-2, 7, 7, -3],\n [-9, 7, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[-5, 4, 2, 2, 5],\n [-2, 8, -2, 1, 2],\n [-7, 6, -9, 5, -10],\n [-7, -9, -9, -4, 8],\n [7, 2, 5, -8, 3],\n [9, 8, -9, 2, 5]]\nB =\n[[-6, 2, -8, -7, 7, 2],\n [-4, 0, 0, 4, -4, 7],\n [-8, -7, 4, -3, -5, 7],\n [0, 4, 0, 5, -5, -9],\n [3, -9, 10, 1, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 1, -10, -5],\n [-2, -3, -8, -9, -10],\n [-5, 10, 0, 9, -8],\n [4, -5, 1, 7, 7],\n [-10, 8, 6, 7, -1],\n [-10, -10, 6, 9, 0]]\nB =\n[[9, 8, 7, 2],\n [-9, -3, -6, 4],\n [6, -7, -5, -1],\n [5, 2, 2, -1],\n [1, 8, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -1, 4, 2, -9],\n [6, -8, 10, 10, -4],\n [8, 4, 6, -2, 9],\n [6, -5, 2, 10, 3],\n [-3, -4, -1, -2, 3],\n [3, -9, 5, -8, -2]]\nB =\n[[-8, 0, 5, 4],\n [3, 7, -3, 3],\n [2, -3, 3, -6],\n [7, -5, 1, -4],\n [-4, -8, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-10, 0, 1, -7],\n [8, -5, 7, 1],\n [7, -1, 7, 3],\n [7, -9, 5, 9],\n [7, 8, -2, -7],\n [-8, -3, 8, -5]]\nB =\n[[-2, 6, -5, -4],\n [2, -9, -10, 4],\n [-4, 2, 1, -9],\n [-10, 6, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, 2, -1, 8, 9],\n [-2, 6, -10, -6, -1],\n [7, 7, 8, 5, 0],\n [3, 9, -9, -9, -4],\n [-6, -5, 4, 2, 6]]\nB =\n[[-7, 3, -1, 5, 0],\n [-7, 5, -3, 9, 4],\n [7, -2, -4, -5, -8],\n [6, -1, -9, 8, -6],\n [9, 9, -8, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 7, -5, -8, 3],\n [3, -5, -10, 10, 4],\n [-5, -5, -7, 1, -9],\n [-7, -9, 2, -5, 6],\n [-5, 3, 10, 9, 0]]\nB =\n[[7, -4, -3, -2],\n [4, 0, -4, 1],\n [6, -9, 2, -4],\n [1, 1, 5, 1],\n [-6, 0, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, -5, 0],\n [3, 4, -10, -5],\n [5, -4, -6, -9],\n [-8, 9, 9, 7]]\nB =\n[[-3, 0, 6, -8, 2],\n [-5, 5, 1, 4, -10],\n [-1, 10, -9, -5, -8],\n [7, -8, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[9, -4, -5, 0, 1],\n [1, 10, 7, 9, 3],\n [5, -8, 1, 10, 7],\n [10, 9, 8, -7, 9],\n [6, 9, 6, -4, -6],\n [2, -4, -2, 10, 2]]\nB =\n[[8, -2, 9, 4, 8, -8],\n [3, 4, 7, 0, -3, -4],\n [1, 4, -3, 6, 10, 9],\n [1, 1, 9, 7, -3, -3],\n [3, -1, -2, 2, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 10, 6, 5, 1, 4],\n [4, 4, 8, 1, -2, -8],\n [-3, 5, 2, 5, -8, 0],\n [-5, -10, 3, -5, -8, 2],\n [8, 2, 5, -5, -5, -6]]\nB =\n[[-6, -9, 10, -6, 5, -3],\n [-3, 10, 0, 2, 10, 0],\n [3, 10, 6, -3, -8, -6],\n [-7, 3, 7, -5, 8, -5],\n [9, 2, -4, 7, -5, -4],\n [4, -8, 5, 7, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 9, 6, 6],\n [6, -4, 4, 7],\n [-5, -10, -8, -3],\n [-2, -4, -10, -5],\n [-5, -5, -10, -7],\n [-9, 2, 6, -7]]\nB =\n[[2, -6, -1, -9, 1, -9],\n [4, 5, -6, 6, -10, -2],\n [-6, -10, -9, -2, 1, 5],\n [5, 9, -9, 9, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "482", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 7, 5, -1],\n [-9, 7, 7, -3, -4],\n [8, -7, 6, 7, 0],\n [-5, -8, -5, -9, 1],\n [0, 0, 10, 10, 1],\n [2, -1, 4, -3, 0]]\nB =\n[[6, 3, 0, -10, 7],\n [-4, 6, 8, 9, -1],\n [10, 0, 8, 2, -4],\n [8, 0, -1, -5, 10],\n [10, 1, -5, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -10, -4, 8, -8],\n [9, -7, 0, 9, 7],\n [7, 4, -9, 8, -6],\n [-9, -6, 5, -7, 1],\n [3, 2, -4, 1, -6]]\nB =\n[[-9, -3, 8, 10, 1],\n [-8, 6, 9, 1, -3],\n [8, 9, -1, 7, -5],\n [8, 5, -5, 9, 1],\n [4, -7, 10, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1680", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 9, 3, 6],\n [-1, 6, 5, 5],\n [7, 9, -10, 2],\n [10, -4, -4, -10],\n [-7, -4, 6, 1],\n [10, -5, -4, 8]]\nB =\n[[10, 2, -8, 6],\n [-5, -3, -6, 6],\n [10, 1, 2, 5],\n [-3, 4, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, 8, 6, -2],\n [-2, -1, 1, -1, 3],\n [-8, -10, -6, 6, -1],\n [-7, 2, 7, -3, -9],\n [-7, -6, 3, -1, 10],\n [-10, 4, -10, 10, 8]]\nB =\n[[1, 9, -5, -10, -6],\n [0, -4, -9, 4, -3],\n [-5, 8, 7, -9, 1],\n [-7, 4, -6, -3, 4],\n [-4, -8, -3, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2396", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 3, 2, -6, -9],\n [-2, -8, 8, -1, 5],\n [9, 8, 4, -7, -1],\n [5, 10, -3, -8, -10],\n [8, 8, 3, 6, 5]]\nB =\n[[-4, 9, -8, -4, -7],\n [-3, 6, 4, 1, -4],\n [8, -4, -4, 4, -8],\n [9, -10, -9, -6, -7],\n [-2, -4, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, 1, 4, -6],\n [3, 9, -10, -3, -9],\n [6, 7, 8, -9, -1],\n [-9, 9, -4, 8, -3],\n [7, -5, -1, -1, 5],\n [6, 1, 3, 10, -2]]\nB =\n[[10, 7, -4, -5, 4, -9],\n [-3, 1, 7, 4, 10, 2],\n [-2, 5, 9, -9, 5, 3],\n [3, -3, -10, 8, -5, -2],\n [-2, 5, -3, 5, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -8, -9, 3, 0, -10],\n [6, 5, 5, 5, 10, -1],\n [2, 8, 10, -8, 9, -9],\n [-9, -2, -10, -3, -2, 3],\n [6, 10, -9, -2, 3, 4],\n [5, -8, 2, 8, -2, 9]]\nB =\n[[-9, 7, 4, 4],\n [-6, 9, -1, 2],\n [-3, -4, -2, -7],\n [-9, 6, 6, 3],\n [0, -10, 0, -9],\n [6, 2, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1612", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -7, 10, 2, -4],\n [9, -8, 4, -2, 10],\n [-7, -4, -5, 5, 8],\n [0, -5, -9, -2, 8],\n [3, 2, -6, -4, 10],\n [-1, -8, 1, -10, 2]]\nB =\n[[-5, -3, 9, 6, 8],\n [4, -10, -1, -9, 6],\n [1, -1, 9, -4, 10],\n [6, -2, 1, 7, 2],\n [9, -3, 6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1583", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 5, 9, 0],\n [8, 9, 6, 4],\n [9, 7, -6, -4],\n [-3, -7, -2, -10]]\nB =\n[[3, 10, 0, -9, -5],\n [-7, -2, 9, -5, -8],\n [1, -7, 2, 7, -7],\n [-10, -1, 9, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 9, -9, 6],\n [10, 1, -6, 0],\n [-4, 0, 9, -2],\n [-3, -9, -1, 9],\n [-5, 6, -7, -6]]\nB =\n[[-9, -10, 8, -1],\n [3, 1, 5, -3],\n [-5, -2, -3, 6],\n [-5, -2, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 9, -7, 0],\n [6, 1, -8, -3],\n [-10, 9, 5, -5],\n [9, -9, 3, -4]]\nB =\n[[-3, -3, -3, 0, -10, -6],\n [-1, -5, 8, -3, 7, 3],\n [10, -4, 9, -10, 2, -7],\n [1, -2, 7, 5, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1675", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 9, -1, 8],\n [4, 4, 2, -10],\n [3, 7, 7, -7],\n [3, 5, 10, 1],\n [-4, 10, -4, 2]]\nB =\n[[1, 8, 3, 8],\n [-4, 8, 5, 7],\n [7, 0, 6, 9],\n [-3, -9, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, 5, 3, -4],\n [7, -7, 7, -4, -2],\n [-8, 3, 9, -4, 3],\n [6, 4, 1, -6, 5],\n [-7, 3, -9, 2, 9],\n [5, 4, 0, 0, -2]]\nB =\n[[-10, 10, 1, -2],\n [-7, 9, -5, 9],\n [1, -10, 4, -10],\n [-4, 7, 10, 8],\n [7, 2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1694", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -2, -9, -1, 6, 5],\n [5, 6, 7, 0, -3, -1],\n [-6, 6, -7, 3, 2, -4],\n [-7, 6, 10, -5, 1, 4],\n [-6, 5, -8, 8, 10, 4]]\nB =\n[[3, 6, 3, -7],\n [-5, -9, 2, 7],\n [-7, -2, 1, 6],\n [-1, 9, -10, -4],\n [6, -4, 7, 2],\n [1, 7, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-10, -3, -8, 10],\n [3, -4, -6, -2],\n [-10, 6, 2, -10],\n [-10, 8, 9, 10],\n [-8, -9, 8, 2]]\nB =\n[[3, 2, -7, 3],\n [6, -3, -2, -8],\n [-3, -9, 2, 6],\n [-7, -9, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 5, -2, 6],\n [0, 7, 0, -1],\n [-9, -5, 1, 10],\n [1, 2, 4, -2]]\nB =\n[[6, 3, 6, 1, 9, -9],\n [9, -6, -7, -6, -8, 10],\n [6, 9, 2, 3, -2, -1],\n [10, -6, -9, 3, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -7, 9, -2, -2, -9],\n [3, -2, 3, 2, 0, 4],\n [-1, -3, 1, 6, 4, 0],\n [8, -4, -6, 7, -8, 0],\n [-8, -4, 4, 4, 10, -4],\n [6, 9, 6, -7, 5, 3]]\nB =\n[[2, -10, -8, 6, 0, 7],\n [3, 7, -6, 4, -10, 7],\n [-9, 3, -2, -7, -7, 7],\n [4, -9, 8, 3, 9, -10],\n [-7, 5, -8, 3, -9, 5],\n [-5, -7, 6, 3, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2899", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, 7, 8],\n [0, 6, -7, -2],\n [-10, -1, 2, -1],\n [-8, 5, 2, 2]]\nB =\n[[-3, 7, 9, 3],\n [1, 10, 9, 4],\n [6, -2, 1, -7],\n [6, 2, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, -6, 8, -9, -9],\n [7, -9, 5, 5, -9, -9],\n [2, 1, -1, 7, 7, -8],\n [9, -3, 3, 10, -5, -2],\n [-4, 7, -1, 9, 3, -10]]\nB =\n[[3, -1, -7, -6, -3],\n [3, 2, 6, -1, -3],\n [-10, 1, -8, -3, 3],\n [-10, 3, -6, 5, 10],\n [-3, -9, 6, 6, -7],\n [7, 9, -10, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -5, -7, -10, 6, 0],\n [-5, 1, -8, -2, -4, -9],\n [2, -10, -3, 0, -3, 7],\n [-7, 7, 10, 1, -9, 7]]\nB =\n[[2, -8, 1, 8, 1],\n [-8, 6, -9, 0, -1],\n [-5, 8, 1, -8, -5],\n [10, 2, -8, -1, 2],\n [10, 0, -8, 9, -3],\n [-1, 2, 3, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1480", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 10, 8, -9, 2, -4],\n [-9, 1, 1, 8, -5, 0],\n [1, -2, 3, -8, 3, 10],\n [9, -7, -8, -8, 8, 10],\n [-6, -1, -4, 9, 1, -10],\n [-5, -5, 6, 0, 6, -9]]\nB =\n[[1, -2, 3, -8, 5],\n [-10, -8, 3, 10, 2],\n [5, -5, -3, -8, 0],\n [1, -3, 8, 7, 10],\n [5, -4, 10, 7, 9],\n [3, 0, 6, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1647", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 4, 8, 3],\n [5, 1, -6, 9],\n [3, -5, 3, -10],\n [3, -3, -5, -8],\n [0, 6, -4, 3],\n [0, -3, 7, 3]]\nB =\n[[-5, -1, 6, 2],\n [2, 3, -6, -10],\n [2, -7, -6, 10],\n [-9, -8, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, 8, -5, 3],\n [-5, 6, -1, 5],\n [-4, -5, -9, -8],\n [3, -1, 10, -9]]\nB =\n[[-6, 2, 1, 3, -8],\n [6, -10, 9, 2, -6],\n [7, -4, -5, -10, 9],\n [-7, 8, -5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -5, -2, -2],\n [3, 4, 10, 10],\n [-7, 8, -8, 3],\n [-5, 9, 1, 7],\n [1, -5, -10, -10],\n [-4, 1, -1, -1]]\nB =\n[[-6, 10, 8, 1, -1],\n [2, -8, -3, 10, -8],\n [-2, 10, -10, -7, 6],\n [-3, 6, 4, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1898", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 6, 1, 2],\n [9, -10, 3, -7],\n [4, 0, 9, -7],\n [-7, -8, 3, 0],\n [2, -5, 5, 10]]\nB =\n[[-5, 9, -8, -9, 10, 10],\n [-4, -4, -4, -8, 4, -10],\n [4, 8, -4, -8, 0, -6],\n [7, -2, 4, 5, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, -8, -3],\n [8, -7, -7, -8],\n [5, -6, 7, -1],\n [-2, -7, 0, -3],\n [-10, -5, 1, -5]]\nB =\n[[-7, -1, -10, -9, 4, 4],\n [-2, -2, -8, -8, -7, 6],\n [-3, -2, -1, -8, 8, 7],\n [3, -7, 5, 3, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-2, 2, -7, 9, 10],\n [0, 10, 3, 5, -9],\n [-4, 5, -1, 8, 5],\n [5, 5, -3, -2, 2],\n [3, 3, 5, -2, -8],\n [-6, 4, 8, 3, -9]]\nB =\n[[8, -2, 10, 10, -7, 10],\n [0, 3, -10, 9, -7, 7],\n [0, -6, -9, 1, -1, -5],\n [3, -4, 10, 1, -4, 1],\n [-7, -8, 8, -5, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, 0, 3, -5],\n [-5, 6, 6, -1],\n [5, -9, 8, -4],\n [-5, 5, 8, 5]]\nB =\n[[4, 1, 3, -2],\n [-1, 9, 7, 0],\n [0, -10, 7, 6],\n [3, -3, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, -4, 7, -10, -8],\n [10, -2, 1, -2, -4, -7],\n [-1, 0, 4, 9, -3, -2],\n [-9, 5, 0, 5, -7, 7],\n [0, -2, 7, 0, -1, -10]]\nB =\n[[8, -2, -8, 5],\n [-4, -4, 2, 8],\n [10, -10, -1, 2],\n [5, -1, 10, 8],\n [0, -6, 6, -8],\n [7, 6, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[1, 10, -7, 5],\n [10, -10, -1, -5],\n [-9, -6, -8, 0],\n [1, 4, 8, 10],\n [7, 2, 3, 7]]\nB =\n[[7, 6, 10, -6, 9],\n [7, 5, 6, -5, -5],\n [-8, -1, 3, -6, 10],\n [-9, -5, -7, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 5, -4, -9],\n [5, 8, 9, -8],\n [-8, -9, 4, -6],\n [2, -2, -9, 7],\n [-2, -9, -4, -5],\n [5, -3, 6, 2]]\nB =\n[[10, -7, -8, 3, 1, 9],\n [-9, -3, 8, 0, -7, 3],\n [8, 5, -1, -9, -2, 10],\n [4, 9, 8, 8, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-691", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-5, 6, 10, 3, -6, -7],\n [-10, 0, -10, -8, 1, 9],\n [8, 1, -1, 1, -10, -4],\n [7, -7, 4, -9, 2, -6],\n [4, -4, 3, 10, -2, -8]]\nB =\n[[-4, -8, -8, 4, 4],\n [-9, 1, -7, -4, -3],\n [7, -10, -5, -8, 2],\n [1, -9, 9, 8, -7],\n [-7, 7, -8, -7, 4],\n [-6, 7, -10, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -1, -5, 2, -2],\n [-1, -7, -3, -3, -3],\n [9, 7, 0, 6, -5],\n [6, 1, 9, -3, -1],\n [1, 8, 8, 6, 2]]\nB =\n[[0, 4, -8, -2, 9],\n [-2, 6, 7, -6, -6],\n [1, 2, -10, 4, 6],\n [0, -4, 1, -10, -8],\n [-3, -1, -1, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 7, 6, 10],\n [-5, 3, -2, 6],\n [-1, 1, -5, 0],\n [-7, 3, -4, 1],\n [-7, -7, -3, -5]]\nB =\n[[1, -9, -10, -2, 2],\n [-8, 8, -9, 7, -5],\n [9, -4, 6, 0, 6],\n [9, -2, 4, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-1, -8, -8, -1, 2, -1],\n [-9, -7, 1, 6, -9, 7],\n [-3, 0, 1, 2, 2, -1],\n [5, 5, -3, -10, -9, 9],\n [7, 9, 2, 3, 6, -4],\n [-7, 9, -9, 7, 6, 0]]\nB =\n[[-4, -5, -3, -8, -1, 2],\n [6, 8, -4, 3, -10, 7],\n [8, 7, 3, -8, -10, 5],\n [6, 1, -10, 7, -6, 5],\n [0, -5, 3, 6, 1, -8],\n [-10, -6, -5, 3, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -5, -3, 8, 8, 6],\n [6, 10, 7, -6, 4, -8],\n [-7, 2, 8, 5, 3, 7],\n [-10, -5, -9, 4, 2, 1],\n [-6, 1, 8, 6, 5, 7],\n [7, -9, -10, -2, 9, 1]]\nB =\n[[4, -1, 3, 10, -2],\n [1, 5, -1, 4, 10],\n [-4, 9, -8, 9, 5],\n [-7, -7, -1, -7, -7],\n [-2, -9, -4, -4, 0],\n [-10, 0, -9, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1659", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[9, 9, 6, 9, -3, 4],\n [-7, 3, 10, 9, 4, 1],\n [-3, -10, -8, 6, 9, -4],\n [9, -1, -6, 6, -7, 6]]\nB =\n[[-3, 10, -1, 1],\n [10, -1, -6, -1],\n [7, -4, 5, 9],\n [-8, 8, 4, 3],\n [-7, 1, 7, -8],\n [1, -10, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -2, -6, 4, -9],\n [7, 1, 4, -5, -9],\n [8, 9, 4, -8, -4],\n [7, -10, -9, -7, 8],\n [-1, -3, -6, -2, -6]]\nB =\n[[6, -9, 9, -2, 6],\n [-1, 7, 9, -6, 7],\n [-9, 6, 1, 7, 10],\n [-8, 6, -7, -6, 10],\n [-4, -6, 3, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1835", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 10, 7, -2],\n [10, 0, -4, 2],\n [6, -4, -3, -3],\n [-2, 4, -10, 10],\n [10, 10, -3, -5],\n [-5, -10, 8, 7]]\nB =\n[[4, 10, 0, 5, -2],\n [3, -2, -10, 10, 7],\n [10, 4, 8, 9, 6],\n [0, -3, 3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 9, 2, -7, 6],\n [6, 3, 7, 3, 5],\n [8, -1, -9, -3, 2],\n [-9, 9, -9, 0, 9]]\nB =\n[[-1, 6, 9, 8, -1],\n [0, 4, 0, 6, 0],\n [-7, -2, -1, 2, 6],\n [-8, 7, 9, -10, 2],\n [3, -4, -5, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-8, 5, 7, -4],\n [4, -3, 9, 6],\n [10, -2, -9, 6],\n [2, -9, 7, -3]]\nB =\n[[-6, 2, -2, 6],\n [-9, 9, -10, -2],\n [-2, -5, 3, 4],\n [-6, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 4, 5, -1],\n [-4, -6, -9, 1],\n [4, 5, -2, -8],\n [-9, 3, -3, -7],\n [2, 10, 1, 9]]\nB =\n[[-7, -6, 4, 1, -7, -5],\n [1, 1, -9, -8, -8, -4],\n [-4, 8, 6, 10, -3, 4],\n [-4, 1, -2, 9, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1444", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -3, 4, -2, 3, 8],\n [-5, 10, -9, 5, 8, -4],\n [-8, -7, 8, 6, 0, -5],\n [-4, 10, -8, 10, 5, 0],\n [-8, 9, 6, 7, 6, 8],\n [7, -4, 9, 0, 4, 2]]\nB =\n[[2, -1, -7, -8, -7],\n [-1, 8, 8, 2, -10],\n [-1, 4, 7, 3, 4],\n [6, 0, 9, -10, -7],\n [-4, -3, -9, 5, -6],\n [3, 4, -1, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, 1, -10],\n [-4, -3, 1, 7],\n [-7, -6, -2, 3],\n [-1, -3, 7, 9]]\nB =\n[[-7, 9, 9, -10, 0],\n [10, 6, -2, 2, 8],\n [2, 3, 10, -8, -2],\n [2, 0, 8, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, -7, -3, -3, -1],\n [-4, -5, 3, 1, 5, 1],\n [6, 8, -5, 4, 6, 8],\n [-4, 5, 1, 4, -3, 7]]\nB =\n[[-2, -8, 0, -4, 10],\n [-10, 0, 0, -2, 1],\n [8, -6, 9, 0, -1],\n [1, 1, -9, 2, 1],\n [4, 10, -6, -7, 9],\n [2, -4, -1, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-434", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, 8, -6, 6, 5],\n [8, 4, -6, 0, -7, -8],\n [-2, 9, -10, 7, 2, -2],\n [-10, 4, -3, 1, 1, -9],\n [6, 9, -4, 6, 5, -10],\n [-10, 3, 1, -10, 5, -3]]\nB =\n[[-3, 1, -9, 5, -8],\n [1, 6, 6, -1, 2],\n [7, 1, 0, 6, 5],\n [4, 7, -7, -5, 7],\n [-9, 3, -2, 8, -4],\n [9, 5, 0, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, 3, -2, 0],\n [7, 5, 3, -3, 7],\n [-7, -10, -7, 0, 3],\n [6, 7, -3, 0, 0],\n [10, -3, 6, -1, 7]]\nB =\n[[0, -3, -10, -3],\n [3, -1, 10, -2],\n [2, -2, -2, 4],\n [-1, -2, 3, -4],\n [8, -5, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[8, -9, -8, -6],\n [-3, 10, -4, -8],\n [-9, -5, 6, 7],\n [6, -6, 6, -3],\n [6, -2, 10, -4],\n [6, 7, -6, 7]]\nB =\n[[-7, 0, 8, -1, 6],\n [5, -9, 7, 6, 2],\n [-9, -9, -7, 3, 1],\n [-10, 2, 2, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, -6, -7],\n [5, -8, 7, 9],\n [6, -3, 1, -2],\n [1, 10, 5, 5],\n [-8, 10, -10, -6]]\nB =\n[[0, -6, 10, -6, 1],\n [-8, 0, -9, -1, -4],\n [-5, -8, 10, -9, -7],\n [5, 1, 10, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2201", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 6, 10, -4, -5, 3],\n [6, 1, -4, -9, 0, -7],\n [-6, 5, 2, -9, 5, 2],\n [-4, -5, 10, 2, 3, -8],\n [-8, 8, -7, -2, -10, -1]]\nB =\n[[9, 6, -5, 10, 3, -10],\n [-9, 5, -10, 4, 5, -5],\n [-8, 5, -6, 6, -3, -6],\n [6, -5, 10, -7, -4, -10],\n [6, -6, -7, 4, -4, 5],\n [1, 0, -8, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2339", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[9, 3, -2, 0, -8],\n [-10, 9, 5, 9, -8],\n [9, 8, 3, -1, -5],\n [10, 4, 10, -1, 9],\n [-3, -10, -8, 0, 0]]\nB =\n[[-4, 4, -6, 3, -10, -10],\n [-6, 2, -8, 6, -5, -2],\n [-5, 5, -2, -9, 8, 2],\n [-6, -2, 10, -3, -3, -7],\n [-1, 0, -3, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 5, 9, 0],\n [2, -3, 2, -1],\n [0, 5, 0, -4],\n [9, -3, 1, 3],\n [9, 2, 10, -6],\n [5, 6, 5, -5]]\nB =\n[[-1, 8, 9, -4, -8, 0],\n [6, 9, 7, -2, 7, 8],\n [2, -4, 7, -8, -7, -6],\n [6, 6, -7, -9, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[2, -6, 3, 7, 6],\n [-10, -3, 6, 7, -8],\n [-5, -1, 8, -4, -5],\n [4, 8, 6, 0, -6]]\nB =\n[[4, -9, -10, -9],\n [-4, 1, -7, -9],\n [-4, -2, -4, -2],\n [9, 4, 6, -9],\n [0, 7, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, 1, -4, 9],\n [8, 4, -9, 4, 2],\n [-1, -3, 7, -9, 10],\n [-2, 0, -2, 2, -7],\n [-5, -2, -2, -5, -10]]\nB =\n[[-10, 8, 3, -6],\n [-9, 7, 7, -4],\n [1, 9, 1, 7],\n [-2, -1, -4, -3],\n [-5, -7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 6, -1, 7],\n [-1, 10, 8, 9],\n [-4, -5, -1, -9],\n [4, 2, 9, 5]]\nB =\n[[8, 5, 0, 2, -4],\n [-10, -9, -10, 6, -8],\n [4, 4, 5, 7, 8],\n [5, -9, -8, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -7, 0, 8, -9, -7],\n [7, -6, 3, -9, -8, -10],\n [-7, 10, 9, -2, -1, 6],\n [10, -1, 6, -5, 2, 10],\n [-4, 8, 0, -4, 2, -10],\n [-9, -8, 3, 2, -10, 8]]\nB =\n[[7, -2, -1, -1, 1],\n [0, -2, -9, -2, -10],\n [-4, -10, 6, -7, 3],\n [10, 8, 8, 6, -5],\n [-1, -10, -8, -7, -7],\n [8, -10, -4, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3242", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -5, -5, -9, 4],\n [-3, 7, 3, -10, -3],\n [9, -3, -5, 6, -6],\n [4, -3, 10, -4, -9],\n [7, -1, 1, 8, 1]]\nB =\n[[-3, 9, 8, 1],\n [-9, 1, -10, 10],\n [-10, 4, -10, 7],\n [7, 6, 7, -1],\n [10, 1, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 7, 6, 3, 6, -6],\n [-5, -4, -2, -8, -7, -3],\n [-4, 6, 5, 1, -8, 5],\n [-7, 6, -1, -3, 0, -7]]\nB =\n[[-7, 4, 4, -8, 1, -5],\n [-5, -3, 3, 9, -4, -9],\n [8, 7, -10, 1, 6, 7],\n [10, -7, 3, -2, 9, -10],\n [-3, 3, 6, -2, -6, -9],\n [-2, -10, -10, 1, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -8, -9, 2],\n [10, 1, -10, -6],\n [0, 9, 9, 8],\n [-10, 7, -1, -9],\n [-3, -7, 6, 10],\n [-1, 4, 7, -7]]\nB =\n[[4, 3, 10, -1],\n [-8, 4, 5, -9],\n [-3, -6, 1, -4],\n [9, 3, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 6, 2, 5, -4, 3],\n [5, 4, -10, -7, 5, 4],\n [0, 5, -4, 5, 10, 0],\n [-2, 1, -1, 10, -5, 6]]\nB =\n[[6, -2, -2, 10, -4, 2],\n [-6, -5, -10, 8, -1, 9],\n [-9, -2, 2, 0, -3, 4],\n [-8, 0, -8, -10, 4, 8],\n [7, 5, 7, -1, -10, -2],\n [-2, 1, -5, 10, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -3, -8, 8],\n [-4, 8, 6, -8],\n [1, 8, 9, 9],\n [-9, 1, -3, 10]]\nB =\n[[-2, 10, 8, 10],\n [6, -6, -7, -4],\n [-5, 2, 3, 5],\n [-3, 9, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 4, 9, 9, -4],\n [-9, -5, -5, 3, 10],\n [8, -6, 10, 8, 2],\n [7, -8, -6, -6, 9],\n [4, -7, 2, -5, 4],\n [10, 9, 1, 2, 2]]\nB =\n[[5, -10, -10, -3, -5, 1],\n [-6, 6, 1, -9, -8, -8],\n [-4, -4, -9, 8, -1, -10],\n [9, 9, 10, -10, 3, 1],\n [-3, 6, 1, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -1, 7, 0],\n [4, 1, 0, -2, 1],\n [0, -3, 7, 1, -2],\n [-1, -3, 4, 3, 4]]\nB =\n[[-9, 7, 8, -2, 9],\n [-4, -8, 6, -7, -8],\n [-3, 4, -1, -3, -3],\n [4, 0, -6, 2, -2],\n [2, 9, -5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "659", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 2, 2, -6],\n [-9, -3, 8, 8],\n [-9, -7, 4, 0],\n [-1, -10, 0, -3],\n [9, -5, -3, -9]]\nB =\n[[3, -10, 10, 1],\n [9, -2, 9, -7],\n [-5, -4, -6, 3],\n [-6, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, 5, -4],\n [6, -10, 9, 4],\n [1, 5, -9, -3],\n [6, 8, -4, -8]]\nB =\n[[10, -5, -7, 10, 9],\n [0, 3, 5, -4, 6],\n [9, 9, 10, 5, -1],\n [8, -3, 4, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -5, -2],\n [-10, 8, 10, -1],\n [-2, 7, -7, -6],\n [9, -2, -8, 1],\n [9, -3, -9, -6]]\nB =\n[[-10, 3, 1, -7, 3, -8],\n [1, 8, -5, 6, 9, -2],\n [-7, 5, -2, -1, 3, -6],\n [8, 10, -5, 8, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 8, -3, 4],\n [0, 6, 1, 6],\n [4, 6, -8, -9],\n [3, -1, -1, -1],\n [-8, 6, 7, -1]]\nB =\n[[-6, 9, 3, -4, 6],\n [5, -6, 0, -4, -8],\n [10, 1, 0, 8, 10],\n [-7, -2, 5, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1120", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 4, 7, -1, -2, -5],\n [8, 3, 3, 10, -7, 10],\n [-2, 1, -6, -2, 2, -8],\n [-6, -8, -3, 4, -8, 6]]\nB =\n[[7, 8, 0, -5, 10],\n [2, 6, -3, -5, 10],\n [-2, 7, 0, 6, 1],\n [9, 8, -5, 4, -4],\n [-3, 3, 4, 4, -9],\n [6, 8, -8, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -9, 4, -1, 8],\n [-2, -5, 9, -3, -2],\n [5, 5, -6, -9, 0],\n [9, -9, -3, -5, -3]]\nB =\n[[1, -3, 0, -3, 2],\n [5, 0, 10, -3, -4],\n [9, 1, -8, -8, 5],\n [-6, 9, -9, 2, -4],\n [4, 10, -8, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -3, -2, 0, 8],\n [-6, 3, 10, -1, -3, 3],\n [-8, 7, -8, 10, 9, 3],\n [-9, -8, -10, 3, 3, -2],\n [4, -4, 4, -7, 4, 0],\n [3, 8, -9, 9, 8, -5]]\nB =\n[[6, 10, 8, 9, 9, 3],\n [-10, -5, -7, 10, -2, 9],\n [4, -4, -1, 10, 2, -1],\n [0, 2, -4, -9, 3, -3],\n [9, 6, -1, -7, -7, 8],\n [-4, -8, -5, -10, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2997", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 10, -2, 10],\n [8, 3, 7, 5],\n [-5, -9, 9, 4],\n [2, 9, -3, 6],\n [-1, 0, 10, -9]]\nB =\n[[-1, 2, -10, -4],\n [0, 6, 10, 6],\n [6, -7, 5, -9],\n [-9, 0, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[5, 3, 10, 4, 0, -6],\n [2, -6, 5, 0, -2, 0],\n [-10, 6, 7, -1, 6, -2],\n [-6, -7, 10, 6, -1, 7],\n [-2, -6, 10, 10, -2, -9],\n [2, 8, -7, 10, 8, -3]]\nB =\n[[1, 9, -4, -4],\n [5, -5, 3, 4],\n [-5, 2, -6, -2],\n [5, 3, -10, 6],\n [2, -8, -2, -8],\n [6, 6, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -4, 1, -6, 3],\n [-10, -3, 0, 10, 8],\n [-1, -2, -4, -2, -6],\n [-7, -4, 5, -3, -2],\n [-9, 0, 4, 3, -7],\n [-10, 3, -9, 10, -7]]\nB =\n[[-6, 9, 4, -3],\n [8, 7, 8, -6],\n [-3, -4, 2, -4],\n [-3, 4, -6, -7],\n [-2, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1103", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-8, 3, -1, -3],\n [-3, 3, 7, -2],\n [6, 4, -1, -4],\n [-8, 9, -9, 8],\n [9, -7, -8, -4],\n [7, -6, 3, 1]]\nB =\n[[7, -1, -8, 7],\n [-8, 2, 5, -10],\n [-9, -6, 5, -4],\n [-7, 6, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, -9, -8, 8, 3],\n [0, -1, -3, -6, -6, 6],\n [10, -5, -4, -5, 0, -6],\n [-10, 2, -2, -3, 0, 8]]\nB =\n[[0, 6, -6, -10],\n [2, -8, -3, -9],\n [-6, -6, 0, -4],\n [10, 5, 8, -6],\n [7, 1, -7, -9],\n [5, -1, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, 8, -7, 8],\n [8, -7, 9, 9, -9],\n [-2, -4, -1, -9, 7],\n [-1, 8, -9, -1, -9],\n [0, -5, 3, 3, -1]]\nB =\n[[-7, 6, -5, 8],\n [2, 10, -6, -5],\n [-3, 2, 3, 7],\n [-7, -1, 5, 1],\n [-1, 7, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 5, 9, -5, -7, 5],\n [10, 10, 10, 9, 6, -5],\n [-2, 8, 6, 0, 4, -1],\n [5, -5, 6, -2, -2, 0]]\nB =\n[[-10, -3, 3, 7, -3],\n [9, -3, 7, 3, 10],\n [7, 7, 8, 0, -7],\n [-4, -3, 1, 0, 3],\n [-9, 10, 8, 7, -3],\n [-5, 6, 1, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-8, 6, 5, 6],\n [-2, 6, -5, 4],\n [0, 2, -2, 0],\n [-1, -8, 1, 9]]\nB =\n[[-3, 3, -10, 4],\n [5, 4, -1, -2],\n [-6, 4, -4, -6],\n [-10, 8, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 0, 1, -10],\n [7, 4, -5, 10],\n [7, -2, 0, 6],\n [5, -9, 6, -3],\n [6, -4, 9, 0],\n [4, 2, -6, -3]]\nB =\n[[1, 3, -7, -4, 4, 4],\n [2, 5, 1, -3, 4, -1],\n [-10, -5, -2, 10, -2, -9],\n [-2, -8, 5, -8, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, -8, -9, 2, -2, -7],\n [-2, 7, 9, 8, -5, -3],\n [-6, -4, 3, 8, -2, -2],\n [5, -5, -2, -2, 9, 1],\n [-2, 9, -2, 6, -2, 10],\n [8, 9, -10, -4, 4, 8]]\nB =\n[[8, 9, -9, -2],\n [5, 0, 4, 5],\n [8, 4, 5, 8],\n [10, 7, 10, 0],\n [-6, 7, -10, 8],\n [7, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -4, -1, -9, 6],\n [4, 4, -5, -9, -7],\n [-5, 5, -7, -2, 6],\n [1, 8, 9, 9, -8]]\nB =\n[[-9, 8, -7, -1, 1, -4],\n [4, 8, -10, 0, 9, -3],\n [-7, -7, -7, -9, -3, -10],\n [3, 5, 7, 3, 7, 2],\n [-3, -9, 9, -9, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[10, -7, -5, -7],\n [8, -5, 4, -4],\n [4, 7, 8, -9],\n [2, -3, 6, 5],\n [-8, -5, -4, 10],\n [-7, 9, -3, 8]]\nB =\n[[8, 9, -9, -1, -10, -2],\n [-1, -3, -3, 7, -4, 5],\n [6, 6, 0, 9, 10, 0],\n [-4, 0, 1, 8, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -3, 10, 8, -4],\n [-8, -5, 4, -7, 2],\n [-2, 10, 1, -9, 4],\n [-7, 10, 4, 0, -1],\n [5, -9, 1, 8, 3],\n [-5, 3, -4, -4, -7]]\nB =\n[[-7, -2, -3, 0],\n [-7, 9, -10, 9],\n [-4, 4, 4, -1],\n [4, -10, 10, 5],\n [-6, 7, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1872", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -4, 6, -6, 5],\n [-8, -7, -4, -8, -9],\n [-6, -9, 10, -7, 9],\n [7, -10, 10, -2, 9],\n [-6, -2, 3, 8, -5],\n [2, 3, -3, 0, 3]]\nB =\n[[-3, 9, -6, 7, -10, 9],\n [-4, -2, 3, -5, 1, 6],\n [-8, 0, -2, 5, 1, 3],\n [4, 9, -5, -9, 0, 8],\n [3, -8, 0, -9, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -8, 7, 9, 0],\n [-2, -2, -4, 10, 9],\n [-3, 0, 4, 1, 5],\n [4, -4, -10, 4, -8],\n [-4, 3, 7, -7, -1]]\nB =\n[[-3, 1, 10, -3],\n [10, 8, 8, 10],\n [5, 8, 9, -6],\n [4, -2, -5, -7],\n [-5, 4, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-502", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 3, -7, -6, 10],\n [1, 10, 9, -3, 2],\n [5, -3, -1, 6, 2],\n [4, 5, -6, -5, 3],\n [-1, 6, 4, -6, -5]]\nB =\n[[7, -8, 8, -3],\n [2, 7, -7, -6],\n [0, -6, -9, 0],\n [9, 10, 1, 2],\n [-7, 10, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -4, 9, -9, -10],\n [7, 3, 7, -8, -1],\n [6, -10, -6, -2, 7],\n [-7, -3, 3, -9, -1],\n [-6, -9, -2, -7, -2]]\nB =\n[[4, 2, -10, -4, 4, -5],\n [-9, -2, -7, -9, -6, 10],\n [-7, 9, -5, -5, 10, 5],\n [4, -2, 8, 6, -3, 4],\n [-6, 5, -7, -7, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, 7, 4, -3, 1],\n [5, 2, 7, 8, -10, 6],\n [0, -1, -10, -7, 6, 9],\n [-1, -4, -9, 8, -8, 5],\n [3, 5, -7, 2, 2, 9]]\nB =\n[[-7, 10, 9, -3],\n [-2, 6, 1, -1],\n [10, -3, 3, 2],\n [-7, -9, 1, 1],\n [-7, -10, -8, -10],\n [0, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, -8, 5],\n [6, 10, 1, 0],\n [-9, 0, -8, -7],\n [-9, 4, -2, -10]]\nB =\n[[9, -2, -3, -6, 4, -1],\n [7, -1, 10, 1, 4, -4],\n [-3, 0, 9, -4, -8, 8],\n [2, -7, 7, 6, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, 0, -6, 5, 3],\n [1, 1, -4, -6, -5, 10],\n [-3, -10, -10, 0, 2, -3],\n [-1, -6, 3, 3, 9, 4]]\nB =\n[[7, -7, -9, 3],\n [0, 2, -3, -7],\n [1, -10, -6, -1],\n [8, 6, 1, 2],\n [6, -1, 5, 2],\n [9, 1, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 0, -5, -2],\n [8, 1, 6, 4, 6],\n [-5, -6, -4, 6, 10],\n [-9, 5, 4, 5, 4]]\nB =\n[[-7, -7, 7, 9],\n [5, -2, 1, 4],\n [9, 4, -4, -3],\n [0, 3, 5, -3],\n [-7, 3, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "946", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 4, 6, -9],\n [10, 7, 8, -9],\n [-7, 5, -2, 2],\n [-10, 8, -5, 9],\n [1, 2, -6, -10],\n [7, -5, -2, -7]]\nB =\n[[3, 7, -1, 5, 1, 5],\n [2, -8, -4, -1, 3, -1],\n [1, -8, 1, 9, 6, -4],\n [6, 5, -4, 4, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1800", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 3, 1, -3],\n [7, -4, 5, 0],\n [3, -2, -1, 6],\n [1, -7, 10, 8]]\nB =\n[[2, 1, -2, 1, -7],\n [-6, 9, 1, -1, 6],\n [6, -8, -10, -5, -6],\n [2, -5, -6, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-785", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -9, 7, -5],\n [3, -1, -9, -5],\n [6, -4, 9, -8],\n [-7, 2, -4, 8],\n [9, -7, -9, -5],\n [-9, 3, 7, 7]]\nB =\n[[2, -1, 10, -8],\n [-6, -10, 0, 9],\n [-2, 0, 1, -2],\n [3, 10, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 5, 9, -3, 2],\n [-1, 6, 7, 9, -6],\n [10, 9, 1, -8, -8],\n [7, -5, 5, 5, 4],\n [-10, -3, 6, 1, -4],\n [3, -4, 5, -10, 1]]\nB =\n[[7, -4, -9, -7],\n [2, 8, 4, 8],\n [-5, -7, -8, -10],\n [0, -10, -2, 9],\n [0, -9, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1638", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, -3, -2, 6],\n [10, 1, -7, -3],\n [8, -2, -5, 9],\n [-1, -4, -6, -10],\n [-7, 10, -1, 2]]\nB =\n[[7, -2, 4, -10],\n [7, 6, -5, -3],\n [3, 6, -4, -7],\n [-7, -7, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -10, 9, -7],\n [8, -7, -4, -1, -8],\n [3, -4, 8, -8, 6],\n [0, 9, -10, -2, 4]]\nB =\n[[-1, 8, -8, -5],\n [-10, 4, -3, -8],\n [-6, 8, 4, -10],\n [-5, -5, 1, 10],\n [-5, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, -4, -4, -4, 0],\n [7, 3, -4, -4, 2, -7],\n [-10, 8, -2, -7, -8, 0],\n [-6, 6, -8, 2, -2, -10],\n [1, -5, -1, 3, -4, 10],\n [9, -10, 9, 0, 5, 0]]\nB =\n[[7, -10, 7, -4, 2, -10],\n [-10, 8, 8, -5, 5, 0],\n [-6, 6, -10, 3, -4, 2],\n [10, 9, 0, 1, 10, 8],\n [9, -8, -7, 7, 0, 1],\n [5, 6, -3, -5, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -10, 4, 4, 0, -3],\n [8, 3, 2, 4, -10, 0],\n [-6, -7, 10, -1, 2, 0],\n [0, 1, -1, 10, -8, 8],\n [-7, 8, -10, -1, 2, -7],\n [-2, -8, 5, 5, -9, -4]]\nB =\n[[-5, -8, -8, 6],\n [-3, 7, -9, 0],\n [6, 1, -7, -3],\n [-9, 3, -8, -8],\n [-5, 4, 4, -5],\n [-6, 3, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 9, -9, -9, 10, 2],\n [-10, 9, 6, -5, -4, 1],\n [5, -7, 1, 5, 2, 0],\n [-2, 7, -9, 0, -3, -9],\n [0, -4, 9, -6, -7, -10],\n [-1, 3, 2, 8, 4, -8]]\nB =\n[[-8, -4, 10, -1],\n [8, 0, 4, 10],\n [2, -1, 8, 1],\n [-4, 4, -8, 9],\n [4, 3, -8, -9],\n [-9, 4, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -2, -4, -10],\n [-9, -4, 6, -1],\n [2, -5, -7, -3],\n [-4, 0, 10, -8],\n [-10, 10, -4, 0]]\nB =\n[[9, 3, -4, -8],\n [8, -1, -10, -6],\n [1, 10, 2, 1],\n [-4, 5, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, 9, -3, -3, 8],\n [-4, 10, -3, -7, 5, -4],\n [5, -2, -6, 8, 7, -5],\n [-2, -8, -9, 4, 3, -2],\n [10, 0, -9, 8, -10, -7],\n [7, -10, -8, 2, 0, 9]]\nB =\n[[9, 5, 7, 4, 6],\n [-8, 1, 0, 1, -2],\n [6, -7, 0, -8, -8],\n [-8, 1, 6, -8, 9],\n [10, 10, -8, 10, 3],\n [8, 6, -5, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 10, -2, 5],\n [-9, -6, 1, -4],\n [8, -7, 4, 9],\n [-10, -10, 0, 0]]\nB =\n[[6, 6, -4, -4, -3],\n [6, -6, 5, 5, 7],\n [5, 8, 2, 6, -4],\n [2, -7, 10, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 6, 8, 3],\n [-10, 3, -10, -2],\n [-4, -4, -2, -9],\n [1, 4, -3, 7],\n [-2, -6, 3, 9],\n [-3, -6, -3, 10]]\nB =\n[[9, -4, -4, -5],\n [-9, 5, 8, 9],\n [7, -3, 4, -2],\n [-5, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -2, -1, 6],\n [3, -7, 5, -1],\n [4, 2, 0, 0],\n [-9, -10, -8, 3],\n [-5, 0, 3, 10],\n [1, 3, 9, -2]]\nB =\n[[-6, -4, 2, 2, -1],\n [8, -1, -6, 9, -2],\n [6, -9, 9, 10, 0],\n [-6, -6, 1, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[0, 2, -10, 6],\n [-2, -5, 0, -8],\n [-9, -6, 10, -4],\n [6, 1, -8, 5],\n [-6, 7, -2, -5]]\nB =\n[[-6, -2, 9, 3, 1],\n [7, -8, 6, 4, 6],\n [-3, 10, -8, 10, 7],\n [-5, -1, 5, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, -6, -2, -8],\n [0, -1, 7, -2, -8],\n [3, 8, 6, 9, 3],\n [-4, -2, 5, -1, -1]]\nB =\n[[9, 6, 4, -4, -4],\n [9, 3, -9, 6, 3],\n [2, 8, 6, 0, 5],\n [9, 1, -6, -8, 0],\n [10, 10, 10, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 3, 1, -4],\n [6, 0, 5, 7],\n [10, 7, 3, -2],\n [-4, 10, 3, 9]]\nB =\n[[0, 1, -7, 5, -5],\n [8, -10, -7, -8, -3],\n [3, -4, 10, -3, -8],\n [-8, 1, 5, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-712", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, -4, 2, 6],\n [2, 5, 2, -9, 6],\n [1, 0, 0, 2, -6],\n [10, -8, -2, -7, -7]]\nB =\n[[4, -3, 0, 4],\n [-2, -8, 5, -8],\n [1, -6, -3, -10],\n [-3, 10, -3, 2],\n [-5, -3, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -9, 3, 10, -4],\n [1, -8, -8, 8, 4],\n [2, 9, 4, -4, 5],\n [6, -9, 5, -8, -5],\n [5, -7, -10, 5, -8]]\nB =\n[[2, -10, -4, 10],\n [3, -2, 3, -10],\n [-3, -5, -5, 4],\n [10, -8, -10, -2],\n [-6, 4, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1414", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -9, 8, 7, -8],\n [-7, 7, 10, 8, -6, 9],\n [-7, -5, 3, -8, -4, 9],\n [-6, 3, -4, 4, -7, 3],\n [10, 8, 0, -9, 9, 2]]\nB =\n[[1, 3, -5, 3],\n [7, 7, -2, -1],\n [1, -10, 3, 5],\n [2, 2, -9, -7],\n [5, 0, 5, 4],\n [1, 1, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 10, -5, -2, -8, 0],\n [6, 9, 0, 10, -10, -1],\n [1, -8, 10, -9, 10, -7],\n [-6, 3, -10, -9, 8, 5],\n [-8, -8, 8, 0, -2, 2]]\nB =\n[[-5, 3, -3, 4],\n [-9, 4, -6, 10],\n [-4, 7, -8, -2],\n [9, -5, 2, 0],\n [-6, -6, 0, 3],\n [-2, 8, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 8, 5, 7, 1],\n [3, -4, -8, 8, 10],\n [-6, -6, -9, -2, 4],\n [3, 5, -5, -5, -2],\n [-8, -9, -9, 2, 2]]\nB =\n[[9, -9, 6, -2, -9, 4],\n [8, 7, -10, -5, -7, -8],\n [10, 8, -9, -4, -2, -5],\n [-2, 4, -4, 2, -10, -5],\n [1, -7, -8, -1, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 6, 7],\n [1, 0, 4, 2],\n [7, -8, 7, -6],\n [6, 4, -2, 6],\n [-9, -4, 9, 2],\n [3, 3, -7, -2]]\nB =\n[[6, 9, -7, 3],\n [0, -8, 2, 8],\n [-9, -1, -4, -9],\n [-5, -5, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 5, -3, -7],\n [7, -4, 4, -4],\n [8, 1, -9, -5],\n [-6, 0, -3, -7],\n [6, -3, 6, -7],\n [-5, 6, -10, 7]]\nB =\n[[-10, -2, 10, 6],\n [9, -10, 8, -9],\n [-8, -7, 4, 1],\n [-2, 3, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, 0, -7, 7, 6],\n [7, 5, 0, 9, 0, 6],\n [10, -4, -6, -2, 7, 3],\n [-3, 8, -6, -2, 10, -2],\n [7, 1, -1, -9, -4, 5],\n [-6, 2, 3, -8, 8, 3]]\nB =\n[[1, -3, 8, -10, 3],\n [1, 4, 10, -8, 0],\n [-4, 6, 3, 8, -1],\n [-6, 7, -6, -10, 3],\n [-7, -8, 2, 9, 0],\n [0, 3, -4, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[10, -1, -10, 8],\n [9, 8, 0, 6],\n [-3, 6, 3, 8],\n [-9, -4, -1, 1],\n [-5, -4, 0, 5]]\nB =\n[[3, 8, 5, -4, 4, -7],\n [-6, -5, 8, -8, -6, -9],\n [-6, -4, -1, 10, 8, -7],\n [0, 9, -4, -6, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[0, -8, 10, 6, -9, 6],\n [-5, -4, 5, -1, -8, -4],\n [1, 10, -9, 8, -2, 7],\n [-1, -3, 5, -5, 6, 8],\n [-4, 5, -7, -10, 1, -8]]\nB =\n[[-1, -10, -1, 9],\n [4, -3, 7, -3],\n [1, -9, -1, 3],\n [-6, -2, 0, -4],\n [-6, 2, -10, 5],\n [-1, -6, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, -5, 3],\n [-8, 9, 10, -9],\n [6, -7, -6, 3],\n [0, 10, -7, 6],\n [-2, -8, -2, 4]]\nB =\n[[-3, -2, 4, 9, 2, -7],\n [-2, 3, -10, 8, 8, 0],\n [4, -1, -4, 1, 7, -7],\n [-7, -2, 2, -3, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 7, 9, 6, 4],\n [-3, -9, 4, 0, 9, -8],\n [3, -6, -2, -9, 4, -2],\n [7, 7, 0, -3, -5, 9],\n [10, 3, -3, -9, 6, -6],\n [0, 9, 4, -2, 4, -8]]\nB =\n[[-3, -9, -9, 1, -3, -3],\n [1, -5, 5, -9, 4, -1],\n [6, 10, 9, 2, 2, -6],\n [3, 4, -2, -3, 2, -8],\n [1, 8, 2, -10, -6, 8],\n [-4, 3, 10, 5, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 7, -7],\n [0, 1, 10, -7],\n [2, -1, 3, 2],\n [-1, 4, -1, 4],\n [8, 8, 2, 0]]\nB =\n[[-9, -9, 7, -8],\n [-5, 2, -8, -6],\n [2, -9, 6, -10],\n [-7, -6, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-731", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -6, 5, 8, 7, -2],\n [8, -3, 2, -1, -5, 1],\n [2, -8, -3, -4, 9, 8],\n [0, -5, -2, 2, -9, 0],\n [0, -3, 5, -5, -5, 1]]\nB =\n[[4, -4, -7, -7, -3, 9],\n [4, -4, -2, 8, -1, 6],\n [5, 1, -5, 5, -9, 10],\n [-1, 5, 1, -6, 7, 1],\n [10, -3, -8, 3, 10, 9],\n [10, 10, 10, -3, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-6, 3, 6, -8, -1],\n [2, -10, -9, 9, 1],\n [8, -2, -5, -5, -4],\n [-9, -4, -3, 9, 2],\n [3, 0, 7, -4, 5],\n [9, 2, 2, -4, 8]]\nB =\n[[5, -1, 0, 7, -2],\n [-3, 4, -7, -4, -10],\n [7, 2, 0, -6, 1],\n [9, -8, 7, -9, 5],\n [-10, -2, 5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[0, 0, 2, 8],\n [9, 6, 0, 0],\n [-4, -3, -5, 3],\n [3, -3, 10, -9],\n [10, 10, 9, -7],\n [6, -6, -9, 9]]\nB =\n[[-5, 1, -8, 4],\n [7, -7, -1, 2],\n [-8, 0, -4, -4],\n [-6, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, 4, 2, 4, 3],\n [-9, 10, 9, 5, -5, -6],\n [-2, -2, -6, -7, 8, 3],\n [8, 4, -10, -3, -10, 3],\n [4, -5, 8, -2, 2, -2],\n [3, -8, -9, -3, 0, 9]]\nB =\n[[-4, 1, 3, 7, 5, -10],\n [-10, -7, -5, -1, 10, -1],\n [-8, -6, 1, -1, -7, -8],\n [-6, -10, -1, -4, 1, 3],\n [7, -6, -9, -6, -2, -10],\n [-1, -9, 0, 6, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -2, -2, -5, 6, 1],\n [-3, 2, -6, 5, -9, -6],\n [3, 2, 9, 6, 5, 8],\n [-7, -4, 10, -7, 0, 2],\n [4, 3, 0, -8, 8, 0],\n [-4, -8, 4, -6, 8, 8]]\nB =\n[[-6, 4, 1, 7, -2, -1],\n [3, -2, 8, 9, 9, 3],\n [8, -2, 10, -4, -5, -10],\n [-4, -4, 7, 0, 2, -5],\n [-5, 6, -4, 6, 6, -5],\n [-7, 9, -1, 4, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, -9, -9],\n [-3, 7, 0, -9],\n [1, -4, 4, 9],\n [7, 6, -7, 9],\n [-2, 2, 9, -4],\n [-9, -1, 1, -6]]\nB =\n[[8, 8, 8, 2, -3],\n [10, -1, 0, -8, 5],\n [-1, 0, -2, 8, -9],\n [9, -1, -8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1764", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -3, 1, 5, -8, -9],\n [7, 7, -3, 7, 2, -8],\n [-6, -8, -7, 6, 2, 9],\n [-3, -7, 9, 8, 4, -3]]\nB =\n[[4, 7, 4, -1, 4, 10],\n [-6, 7, 3, -8, 5, -5],\n [-2, -3, 1, 6, 2, -9],\n [10, 8, -3, 3, -3, 4],\n [4, 3, -10, -1, -6, -6],\n [-8, -8, -5, 10, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 1, -3, 3],\n [6, 7, -10, 7],\n [7, 3, -2, -5],\n [8, -1, 1, 4],\n [10, 7, -9, -1]]\nB =\n[[-7, 3, -5, -1],\n [5, 4, 2, 9],\n [-9, -2, -3, -2],\n [0, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, -5, 0, -7, 1],\n [-7, 9, 2, 2, 9, 8],\n [-2, -9, 2, -4, 9, 7],\n [-5, -6, 8, 6, -4, -10]]\nB =\n[[2, -3, -9, 0, 7, 0],\n [-1, -3, 9, 3, -6, 2],\n [3, 10, 7, -9, 2, -3],\n [10, -8, 2, 10, -9, 4],\n [-2, -6, -2, 10, 5, -8],\n [-1, -8, 9, 6, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -10, 4, -5],\n [-5, -6, -9, 7],\n [-4, -9, -3, -3],\n [0, -10, 3, -9]]\nB =\n[[-8, -3, 10, 5, -7, -1],\n [0, 6, 9, -2, 6, -9],\n [4, -1, 8, -1, -6, 8],\n [-7, -9, 3, 4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1208", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 5, -8, -2],\n [-7, -8, -1, 0],\n [-3, -9, -10, -5],\n [-6, -2, -10, 3]]\nB =\n[[-4, -3, 3, 4, 4, 5],\n [-8, -10, -10, 3, -3, 5],\n [4, -6, -6, -4, 2, 1],\n [10, -4, -1, -7, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -6, 10, 7, 5, -2],\n [10, -3, 5, -10, 8, 0],\n [-5, 1, -3, -3, 2, -9],\n [-7, -9, 2, -5, -10, -4],\n [9, 1, 4, -8, 1, 5],\n [8, 3, 10, 4, 4, -4]]\nB =\n[[5, -2, -3, 5, -8],\n [3, -5, 0, -7, 5],\n [3, 6, -5, 7, 1],\n [-2, -8, 0, -7, 1],\n [-8, -2, -1, 2, -10],\n [10, 5, -10, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2259", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[3, -7, 2, -3],\n [-10, 9, 10, 9],\n [-4, -5, 1, 5],\n [2, -4, -2, -4],\n [10, -6, 0, -4],\n [-1, 1, 5, -1]]\nB =\n[[-8, 7, 2, -7],\n [6, 10, -4, -7],\n [-7, -10, -2, 7],\n [-10, 10, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -7, -9, 3],\n [10, 5, -1, 8],\n [2, 10, 10, -5],\n [1, -7, -9, 6],\n [6, 10, -2, 7],\n [3, -5, 3, -10]]\nB =\n[[6, 0, -8, 2, -6, 9],\n [-5, -2, -1, -6, 2, -1],\n [-4, -1, -10, 7, -2, 2],\n [-6, 1, 7, 3, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-4, -2, 10, -3, 7],\n [-3, 4, 9, -3, 1],\n [-9, -3, -4, -1, 4],\n [-10, -7, 7, -3, -1],\n [-6, -4, 4, -1, -2]]\nB =\n[[0, -1, 2, -4],\n [-9, -9, 6, -4],\n [9, 10, 9, 2],\n [-10, 6, -3, -6],\n [7, 10, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[2, -9, 0, 2, -4],\n [3, -2, 1, -3, 3],\n [-3, -1, -9, 9, -2],\n [-8, 10, -10, -3, 7],\n [-8, 6, 4, -7, -10],\n [-4, -2, -10, -2, 10]]\nB =\n[[-1, 4, 2, 5, -6],\n [8, 6, -9, 9, 4],\n [-4, 0, 4, 5, -5],\n [8, 1, 2, 7, -5],\n [-9, -9, -8, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 10, 5, -5, 6],\n [-3, 7, -3, -3, 4],\n [8, -3, 5, -6, -4],\n [6, -8, 9, 0, -8],\n [-8, 2, -6, 4, 0]]\nB =\n[[8, 7, -1, 2],\n [-10, -10, -3, 2],\n [-6, 7, 3, 1],\n [5, 6, -5, -7],\n [3, 4, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -2, 0, 2],\n [-2, -7, 8, -1, 10],\n [2, -5, 10, -10, 9],\n [7, -9, 3, 1, 0],\n [0, -10, 6, -8, -3]]\nB =\n[[-6, -3, 7, -2, 7, 9],\n [7, -10, 6, 1, -10, 7],\n [-7, 1, -4, 7, 0, -3],\n [-3, 0, 8, 6, -7, -5],\n [1, -3, 4, -8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 2, -5, -2],\n [-10, -4, -1, -6, 1],\n [1, -9, -2, -9, 9],\n [1, 3, -9, -7, -7],\n [-7, -4, -7, -7, -1],\n [-1, 4, 10, -5, -6]]\nB =\n[[-1, 3, -6, -8, -3, 0],\n [10, 10, -3, 4, 2, -5],\n [-9, -6, 9, 6, 1, 7],\n [-10, 8, -4, 4, 8, -5],\n [7, 2, 7, 6, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -6, 7, 6, -3],\n [7, 10, -7, -9, 8],\n [8, 0, 4, -4, 3],\n [-2, 5, 1, -7, 4]]\nB =\n[[-5, -4, -7, -4, 7],\n [-4, 5, 8, -1, 1],\n [9, 8, -10, -3, 1],\n [-8, 3, -6, -1, -1],\n [7, -8, 9, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -8, -9, 5],\n [9, -5, 10, 10],\n [8, -2, 7, 6],\n [-4, 8, -2, -4]]\nB =\n[[-8, -4, 10, 3, -3, -9],\n [4, 7, -4, 10, -3, 6],\n [8, 8, -10, -10, 0, -4],\n [9, 5, 9, 7, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -5, -10, 0, -4, 4],\n [9, 8, 1, 8, 10, -6],\n [2, -2, 0, -9, -2, 10],\n [7, -6, 8, 4, -9, -6],\n [-9, 1, 5, 9, 2, -7]]\nB =\n[[7, 1, -7, 8, 2, -3],\n [-9, 9, 9, 1, 9, 5],\n [-6, 5, -8, 1, 8, 6],\n [10, -5, 10, -3, -8, -3],\n [10, 4, 10, -4, 1, 5],\n [-5, 0, 5, 8, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2503", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -1, 3, -5, -5, 0],\n [7, -5, 7, 0, -4, 3],\n [5, -1, 0, -4, -9, -3],\n [-3, -3, 0, 10, -10, 6]]\nB =\n[[2, -8, 10, 10],\n [5, -3, 3, 10],\n [2, -2, -4, 1],\n [-2, 7, 2, 7],\n [2, -7, -6, -10],\n [9, -10, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 10, -8, 10],\n [0, 1, 9, 9],\n [-4, -7, 4, 2],\n [5, 8, -3, 1]]\nB =\n[[9, -4, 10, 4],\n [8, -9, 5, -3],\n [0, -5, -2, 0],\n [2, 4, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "871", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[9, -1, 8, 6, 7, 1],\n [-8, 6, -3, 10, 0, -3],\n [4, -1, -3, 5, -7, 8],\n [10, -2, 7, -10, -4, 3],\n [5, 0, 6, 8, 4, 1],\n [0, 2, 7, 10, 1, 10]]\nB =\n[[-4, -8, 2, -9, 2, 5],\n [10, 8, 3, 10, 5, -4],\n [9, -5, -5, -10, -10, 2],\n [-5, -4, -7, -5, -7, 6],\n [-6, 10, 9, 4, -10, 0],\n [8, -2, -4, -4, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, -8, -1, -6, -10, -1],\n [3, 2, -3, -9, 4, 0],\n [8, -9, -1, -4, -5, -7],\n [8, 5, 6, 1, 4, 3],\n [-9, 2, 0, 3, -6, 0],\n [7, -4, 2, 2, -4, -6]]\nB =\n[[-4, -9, 4, 5, -4, 5],\n [3, 6, 2, -3, -2, 0],\n [6, 6, 7, 8, 7, 10],\n [-1, 9, -8, 7, -4, 6],\n [7, 6, 1, -10, -6, 1],\n [-3, -7, 5, 8, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -8, 7, -1, 10],\n [8, -6, 8, 1, 7],\n [2, 6, -1, 6, 3],\n [-5, 2, -10, -3, -6],\n [0, 8, 5, -6, -5],\n [7, 2, -9, -9, -4]]\nB =\n[[1, -2, 0, -6, 3],\n [10, 0, -3, 10, -9],\n [0, 0, -8, -7, 2],\n [-8, -9, -4, 9, 6],\n [2, -10, -3, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, -9, -5, 8, -2, 1],\n [-3, 3, 8, 0, 10, -1],\n [9, 3, -9, -7, 10, 9],\n [-6, -5, 7, -5, -3, 9],\n [4, -8, 8, 10, -4, 4]]\nB =\n[[-3, 1, -4, 6, 2],\n [10, 8, -6, -7, -1],\n [3, 6, -8, -7, -6],\n [7, 2, -9, -1, -10],\n [-4, -10, -9, -7, -7],\n [1, -9, 1, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -1, 1, -5, -6],\n [0, -3, -4, 4, 8],\n [0, 4, 5, -8, -1],\n [-3, -8, -2, 9, -9]]\nB =\n[[-3, 7, -2, -9, -7],\n [5, -1, -6, 3, 8],\n [10, -2, -3, 8, -4],\n [-10, -1, -3, 1, 1],\n [-10, 9, -6, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 2, -6, -9, 2],\n [-2, -10, 6, 8, 0],\n [3, -10, -6, 3, 6],\n [-5, -8, 3, -3, 9],\n [1, -7, -6, 4, -10]]\nB =\n[[4, 2, 9, -3, 9],\n [-6, 8, 9, 9, -1],\n [-4, -6, -10, 7, 0],\n [-2, 7, 6, -2, -4],\n [-5, -2, 2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[0, 8, -8, 3],\n [-9, 1, 0, -6],\n [-10, -8, -8, -9],\n [5, -3, 3, 7],\n [5, 5, 10, 0]]\nB =\n[[-2, -3, 2, -8, 4, -7],\n [8, 1, -9, -2, -7, 3],\n [-5, -1, -1, 6, 1, -2],\n [3, -2, 6, -7, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[4, -7, -4, -4],\n [-5, 0, -9, -7],\n [-8, -8, 8, -1],\n [4, -8, -4, 0],\n [-2, -9, 1, 1]]\nB =\n[[9, -4, -3, 9, -8, -7],\n [2, -2, 1, 0, 3, 6],\n [-7, 5, -2, 3, -7, 7],\n [10, 6, 8, 1, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 7, 5, 9],\n [10, -3, -6, -2],\n [-10, -2, 3, -6],\n [-7, -5, -9, -9],\n [4, 6, -9, 4]]\nB =\n[[3, -9, 2, 0, -4, -3],\n [-1, 3, -10, 0, 1, 3],\n [10, -8, -5, 0, -9, -9],\n [-4, -10, -9, 7, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2094", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -4, -10, 7],\n [-9, 1, 10, 4],\n [3, -8, -5, 8],\n [9, -8, -3, -2],\n [-6, -6, 6, 8],\n [3, -8, 6, -1]]\nB =\n[[-4, 5, -8, -10, 4, -6],\n [8, -10, 2, -5, 6, 4],\n [-1, -9, 1, -10, -1, 6],\n [-6, 6, -5, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 4, 8, -6],\n [1, -3, -9, 2],\n [-1, 1, 0, -3],\n [7, -8, -2, -9],\n [2, -5, 6, 0],\n [-8, -10, 9, -2]]\nB =\n[[-9, -5, -10, -6],\n [-6, 10, -9, 0],\n [3, 4, 5, -3],\n [5, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-6, -3, 1, 2, 4, -4],\n [-4, 1, 10, 5, 9, -3],\n [2, -4, 4, 9, 10, 4],\n [10, -9, 5, 4, 3, 5],\n [-9, -1, 0, -4, 9, 0]]\nB =\n[[3, 8, -1, 10],\n [7, 3, 10, -2],\n [-5, -1, -3, 7],\n [4, -10, 2, 10],\n [5, 7, 3, -7],\n [-6, 8, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -4, 6, 0, 7, 5],\n [8, 8, -8, -9, 7, -10],\n [6, -2, -5, 9, -1, -5],\n [0, 3, -1, 0, -8, 1]]\nB =\n[[-1, 6, 3, -8],\n [-10, 10, -1, 7],\n [6, 2, 10, 7],\n [-9, -7, -2, -10],\n [3, 5, 5, -7],\n [-1, -7, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[4, -9, -4, -1, -5, 0],\n [-9, -3, -1, 2, -1, -4],\n [5, 0, 10, 5, -10, 6],\n [5, -4, 10, -7, 3, 4],\n [3, -5, -9, 2, -9, -9],\n [-4, 7, 1, -9, 7, 6]]\nB =\n[[-7, 1, 0, -3, 1, -10],\n [7, 1, 7, -2, 10, 10],\n [2, -9, 10, -7, -1, 0],\n [-1, -5, -1, 4, -2, -2],\n [-4, 6, 7, -10, -9, 10],\n [10, -3, -3, 0, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 10, 3, 3, 4],\n [-5, -9, 3, 0, 3],\n [-6, -2, -3, 0, -4],\n [0, 6, 5, 7, -2],\n [-2, 7, 10, 1, 1],\n [-2, 1, -8, 2, 0]]\nB =\n[[10, 9, 3, 3, 2, 9],\n [-1, -5, -4, 7, 1, 1],\n [-3, 3, 4, 10, 0, -7],\n [4, -10, 3, -5, -8, -6],\n [10, 8, -4, -10, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 3, -4, 6, 10, 6],\n [-6, 5, 2, -7, 2, -3],\n [5, -3, 5, -4, 0, -4],\n [2, -2, 10, 7, 4, -7]]\nB =\n[[-7, 10, -3, -10],\n [1, 2, 8, 10],\n [-5, -5, -8, -5],\n [3, 5, -8, -4],\n [-2, 9, 4, 7],\n [-4, -8, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, 10, -3, 4, 8],\n [-10, 2, 0, 0, 5, -3],\n [5, -6, 1, 9, -4, -6],\n [-7, -6, 7, 9, -9, 8],\n [5, 3, -7, 1, 5, 8],\n [4, 0, -8, 1, -4, -6]]\nB =\n[[8, -7, -5, -2],\n [1, -9, -7, -2],\n [-5, -9, 7, 1],\n [-2, 2, 10, 9],\n [4, 1, -7, 10],\n [1, -9, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-1, -8, -2, 1, -4, -6],\n [-6, -8, 6, 6, -6, 8],\n [-2, -8, 8, 6, -7, -1],\n [0, 7, 9, -9, -10, -2],\n [-3, 8, 4, 9, 5, -7],\n [7, 8, -7, -7, -10, -10]]\nB =\n[[2, 1, 5, 1, 4],\n [-8, -7, 3, 5, 7],\n [10, 5, -5, 1, 9],\n [8, 0, 1, 3, 2],\n [5, -10, 0, -3, -1],\n [-3, -4, -5, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 10, 10, -8, -2, -4],\n [1, 0, 10, 4, 2, -9],\n [4, -9, -2, -10, 10, 7],\n [-5, 10, 10, -7, -2, -1],\n [-4, 3, 0, 5, 10, 9],\n [2, -5, 9, -9, -10, -3]]\nB =\n[[0, -4, -2, 4],\n [-3, -4, -6, 4],\n [-2, 3, 2, 1],\n [6, 6, -1, -10],\n [2, 0, -1, 0],\n [-2, 8, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -5, -8, -7, -6, -8],\n [4, 8, -3, 0, -5, -9],\n [8, 1, -2, 1, 4, 0],\n [1, 3, -2, -2, -3, 7]]\nB =\n[[6, -9, -4, 0],\n [-1, -7, -7, 0],\n [2, -8, -3, -3],\n [-3, -7, 0, -2],\n [1, 0, -4, 5],\n [10, -8, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 10, -9, -2, 1, -6],\n [-8, 8, 10, -6, -7, -5],\n [-3, 3, 2, -3, -4, 3],\n [0, 9, -2, -1, 3, -5]]\nB =\n[[5, 4, 10, -6, -3, -7],\n [-9, -7, -3, 2, 8, 1],\n [2, -2, 6, 8, 0, -1],\n [-6, -1, 5, 0, -1, 5],\n [-6, 5, 1, 2, 0, -7],\n [6, 5, -2, -5, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[10, 4, 10, 7, -7],\n [4, 1, 3, 7, -10],\n [-5, -9, -8, 7, 2],\n [3, -9, 8, 2, 1],\n [1, -9, 4, -5, 9]]\nB =\n[[6, -5, 1, -4],\n [-8, -10, 5, 8],\n [-10, 3, 7, -6],\n [-9, -8, 5, -9],\n [3, -4, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 0, -4, -1],\n [6, 1, 10, 1],\n [-6, -9, 5, -7],\n [-5, 7, -4, -9]]\nB =\n[[9, -7, -4, -1],\n [1, -9, 7, -6],\n [-9, 8, 3, -5],\n [0, -3, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 10, 4, -4, 1, 3],\n [-7, 9, 7, -3, -9, 10],\n [-6, 8, -7, 6, -9, 4],\n [-1, 3, -4, 7, -10, -4]]\nB =\n[[1, -9, 1, 9, 10],\n [8, -1, 7, 4, -7],\n [-9, 5, 6, -2, 8],\n [-1, 8, 9, 7, -2],\n [-4, 3, 4, -8, 3],\n [9, -1, 7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1614", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 5, -7, -2],\n [-3, 7, -6, 6],\n [6, -8, -3, -2],\n [-10, -1, 2, -3],\n [-3, -1, -7, -6],\n [9, 9, -8, 4]]\nB =\n[[7, 5, 4, -5, 2, 9],\n [4, -6, 8, -8, 7, 4],\n [-8, 4, -5, 4, -8, 7],\n [6, 2, -9, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 2, 2, 4, -6, 0],\n [10, -6, 3, 0, 3, 5],\n [-3, -1, -4, -2, 9, -7],\n [10, -4, 7, -6, -8, -10],\n [2, -10, -7, 9, -10, 4],\n [2, 3, 6, -6, -3, 0]]\nB =\n[[3, -4, 5, -10, -5, -5],\n [-1, 2, 5, -8, 4, 2],\n [3, -8, 1, -4, -10, -1],\n [-7, 8, -4, 0, -6, -2],\n [8, 9, -9, 10, 3, -10],\n [5, -9, 6, -10, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2791", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 2, -1, -10],\n [6, -1, 9, -5, -9],\n [-4, -9, -4, -4, 6],\n [5, 4, -7, 3, 6],\n [-2, -5, 10, -4, -2],\n [-7, -4, 5, 9, 2]]\nB =\n[[1, -8, -9, 1],\n [-9, -4, 6, -3],\n [2, 8, 7, -3],\n [-2, 8, 4, -8],\n [-6, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -4, -9, 10, -9],\n [10, 10, 5, -3, 7],\n [5, 2, -5, -8, -3],\n [-4, 4, 7, 9, -5]]\nB =\n[[-4, -6, 2, -1],\n [-1, -3, -1, -2],\n [-7, 10, 1, -10],\n [5, -4, -2, 4],\n [5, 1, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "697", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 7, 0],\n [5, 6, -8, -9],\n [7, 6, -9, -5],\n [-3, 6, 1, -7]]\nB =\n[[-6, 4, -7, -4, -9, 5],\n [2, 10, 10, 4, 10, -5],\n [3, 5, 2, 6, 7, 4],\n [-9, 4, 8, -3, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -2, 10, -6, 9, -6],\n [7, -2, 1, 10, 8, 5],\n [-7, 9, -7, 4, -4, -10],\n [-6, 6, -8, 9, -3, 10],\n [2, -5, 3, -10, -4, -4]]\nB =\n[[-8, 0, -2, 10, 7],\n [4, 1, 5, -4, 2],\n [6, 6, 7, 3, 9],\n [-9, -9, -7, -3, 7],\n [5, -2, -7, 9, -6],\n [-7, 10, 6, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 3, -3, 1, -4],\n [2, -1, -1, 6, 8],\n [-8, -5, 5, -10, -6],\n [4, 3, 4, 10, 0],\n [-7, 2, 2, -6, 6],\n [-3, -6, 1, 9, 6]]\nB =\n[[6, -7, 8, -4, 9, -6],\n [0, -6, 4, 1, -7, 5],\n [3, -7, 8, 10, 8, -7],\n [-6, -5, 4, -8, 2, -9],\n [-10, -10, -5, -9, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2522", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, -8, 10, 4, 7],\n [-7, 2, 5, -3, -5],\n [6, 5, 5, 6, 4],\n [3, 9, 0, 8, -10],\n [1, 1, 6, -3, -5]]\nB =\n[[1, -10, -8, -6, -9, -5],\n [6, -8, -5, -5, -6, -7],\n [-3, 7, -10, -10, -1, 9],\n [-9, 10, 1, 2, 6, -10],\n [-8, -10, -1, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, -10, 10],\n [-7, 4, 1, -7],\n [0, -5, 2, 5],\n [-4, 8, -10, -7],\n [-2, 3, -10, -2]]\nB =\n[[-6, -4, 3, 2, -8, -10],\n [-4, -3, -10, 7, -1, -4],\n [7, -2, -9, -7, 0, -6],\n [-2, -8, -1, 5, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "527", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 2, 10, 6, -5],\n [5, 3, -4, -4, -10, 6],\n [2, -7, 2, -9, -8, -3],\n [-6, 9, 7, 3, -9, -9],\n [-1, -8, -4, 2, 5, 4],\n [-8, 2, -7, -6, 5, 7]]\nB =\n[[-2, 2, -1, -7, -9],\n [0, 0, -4, 1, 9],\n [7, 8, -5, 10, 9],\n [6, -2, -5, 2, -3],\n [-3, -10, -6, 7, 8],\n [10, 6, 5, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-10, -3, -7, 1, -1, -7],\n [-8, 2, -1, -5, 2, 9],\n [5, 2, -9, 1, 3, 8],\n [1, 2, -10, -5, 3, 4],\n [0, 5, 1, -1, 6, -3],\n [5, -1, 0, -3, 1, 7]]\nB =\n[[-3, 8, 10, -5, 7, -2],\n [7, -6, -4, -6, 0, -1],\n [4, 9, 7, 10, -8, -4],\n [-10, -6, -9, -7, 0, -8],\n [4, 3, 9, -7, 9, 10],\n [0, -2, -3, 9, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 9, -2, 8],\n [1, -1, 3, -7],\n [1, -4, -10, -2],\n [6, -3, -5, -7],\n [-2, 10, 7, 6],\n [5, 6, -8, 6]]\nB =\n[[4, -5, -1, 6],\n [10, -8, 0, 8],\n [-5, -4, 7, 6],\n [1, 2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[9, 10, -3, -4, -2],\n [0, -10, -9, 2, 10],\n [-6, 4, 7, -2, 9],\n [-3, -6, -5, 5, 6],\n [-6, 3, 8, 3, 8],\n [0, 3, 4, 7, 0]]\nB =\n[[-3, 5, 3, -4],\n [-8, 7, -9, 9],\n [-10, 10, 4, -3],\n [5, -4, 3, 6],\n [4, -8, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 5, 4, 5, 5, -8],\n [-2, 5, -8, 5, -2, -10],\n [-4, 0, 6, -2, -4, -1],\n [4, 4, 0, -10, 10, 0]]\nB =\n[[-4, 6, -2, -2],\n [-3, 10, 3, 4],\n [-4, 1, -3, 2],\n [4, -1, -2, -3],\n [-10, 8, 9, 0],\n [-2, -9, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 7, -4, 10],\n [-3, 8, -4, 6],\n [10, -3, 5, -6],\n [5, -9, 0, 5],\n [-5, 6, 5, 7]]\nB =\n[[-7, 8, -3, 8],\n [-2, -1, 7, 0],\n [-6, -3, 0, 1],\n [3, -8, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -6, 2, -8, 6, -5],\n [-10, 2, 3, -5, 7, -10],\n [-1, -7, 4, -1, -7, 8],\n [1, 6, -7, 2, -6, 1],\n [-10, -7, -1, -1, -8, -1],\n [7, 1, 2, -6, -6, -10]]\nB =\n[[-10, -1, 9, 9, 4],\n [-7, 4, 9, -6, -8],\n [0, 1, 5, 6, 3],\n [10, -8, 8, -1, 1],\n [-7, 0, 7, 10, -8],\n [-6, -4, -1, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -8, 9, 2, 10, -7],\n [10, 10, -1, 10, -3, 5],\n [10, -9, -10, -2, 0, 5],\n [10, -6, 8, -1, 2, -3],\n [-9, -7, 4, 2, 2, 3]]\nB =\n[[10, -2, -9, -6, -9],\n [7, 4, -1, -5, -5],\n [-6, 6, -7, 5, 8],\n [-6, -6, -6, -1, 6],\n [-6, 7, -6, -1, -2],\n [8, -10, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 2, -2, -9, 4],\n [3, 9, -1, 7, 8],\n [7, -7, -10, -5, -1],\n [-5, -7, -8, 9, -8],\n [8, 7, 7, 2, 6],\n [3, 7, 8, 2, 2]]\nB =\n[[10, -3, 3, -1, -10, 10],\n [0, -3, 1, -8, -2, -9],\n [0, -2, -6, -7, 0, 10],\n [10, 3, 5, -5, -6, 7],\n [3, -4, 3, -10, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -5, 7, 0, -1],\n [-1, 10, -9, -10, 4],\n [1, -2, 1, -5, 2],\n [-10, -3, -6, 3, 0],\n [-3, -6, -7, -9, -5]]\nB =\n[[-1, -4, 10, -7, 7, -7],\n [7, -2, -7, 3, -5, -5],\n [-9, -3, -8, 0, 6, 9],\n [-4, -1, 2, -3, -5, 0],\n [-9, -8, 0, 9, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 6, 5, 4, -4],\n [-3, -3, 9, 5, 0],\n [-8, 0, 4, -7, -1],\n [4, 0, 0, -2, -5],\n [-3, -8, 10, -5, -6],\n [-4, 5, 3, 2, 7]]\nB =\n[[-4, -4, 2, 2, -1, -9],\n [-3, -9, -10, -5, 2, -8],\n [-3, -9, 0, -2, -4, 5],\n [-2, -5, 0, -5, -8, 10],\n [-3, -9, -8, 0, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -7, 6, -5],\n [-4, 0, 6, 5],\n [-5, 1, 1, -10],\n [10, 9, -7, 1]]\nB =\n[[1, -4, -4, 8, 0, 0],\n [3, -8, -5, -4, -5, 2],\n [3, -9, 5, 4, -7, -10],\n [-1, 0, -3, 5, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 9, 9, 5],\n [1, -2, -1, -7, 0],\n [-3, -8, 4, 2, -9],\n [5, -5, 6, -5, -6],\n [8, 3, 1, -2, 10]]\nB =\n[[1, -1, 4, 6, -5, -3],\n [2, 10, 7, -9, -8, 7],\n [-10, 1, -6, 7, 9, -8],\n [5, 1, -7, -1, 9, 5],\n [4, 9, -4, -1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 10, 3, -8, -5, 9],\n [-7, -6, -10, 10, -7, 1],\n [4, -10, -1, 5, 0, 9],\n [-2, 7, 8, -5, 5, 6]]\nB =\n[[9, 10, 6, -7],\n [7, 6, 2, -6],\n [-1, 1, 1, -8],\n [7, 5, -6, 1],\n [-3, 1, 9, -3],\n [8, 10, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -1, 6, 5, 1],\n [-6, -3, -9, -5, 2],\n [-3, -5, 7, -2, -7],\n [-10, 3, -2, 8, 10],\n [6, -4, -2, -8, 0],\n [-2, 5, 4, 2, 9]]\nB =\n[[-8, 0, -4, 4, -5],\n [3, -4, -9, 0, -3],\n [1, 1, -9, -8, 10],\n [3, 1, 10, 7, 8],\n [-3, 9, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1521", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 1, 6, -2, -4],\n [-9, -1, 5, 2, -8],\n [2, -3, -6, 2, 0],\n [0, 4, -5, 10, -2],\n [-2, 7, 5, 9, 8]]\nB =\n[[-7, 1, 7, -6],\n [8, 5, 7, -9],\n [-5, 6, 8, 10],\n [9, -2, -2, -2],\n [3, -6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, -3, 9],\n [5, 7, 9, -4],\n [2, -3, -3, -4],\n [-2, 4, 10, 2],\n [-7, 7, 7, 9]]\nB =\n[[5, 0, 8, -6],\n [2, 2, 2, -6],\n [7, -7, -5, 9],\n [7, 10, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -4, -7, 9],\n [-9, -9, -1, 5],\n [-8, 8, 7, -6],\n [6, -6, 7, 7]]\nB =\n[[-9, 10, 4, 6, 5],\n [-10, -6, 7, 6, 3],\n [8, -6, 4, 3, 5],\n [-2, 7, -2, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1554", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -9, -5, -1, -9],\n [-7, 1, 10, 4, -5],\n [-6, -2, 7, -6, 6],\n [4, 10, 2, 1, 10],\n [-1, 4, -7, 9, 5],\n [10, 2, 6, -2, 1]]\nB =\n[[-10, -1, 2, -10, 9, 3],\n [-9, 8, 9, 0, -6, -5],\n [0, -9, -7, -3, 2, -2],\n [-6, -4, 10, -6, -8, 7],\n [-9, 9, -4, 3, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[2, 10, 2, -6],\n [-10, 2, -6, 9],\n [-8, 5, 10, 3],\n [-9, -5, -9, 5],\n [2, -5, 4, 2]]\nB =\n[[-3, 7, 7, 4, -2, 10],\n [9, 5, -1, 3, 1, 5],\n [-10, 3, -2, 3, -8, -8],\n [2, 1, 8, 5, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 0, 7, 0, -8, 8],\n [6, 0, -6, -10, -3, 2],\n [5, -1, -10, -7, -3, -5],\n [10, -2, 7, 9, -2, -3],\n [7, 10, 6, -4, 5, 4],\n [3, -10, -2, -2, 4, -7]]\nB =\n[[-7, 9, 4, 2, -2, -2],\n [1, 10, 4, -6, 5, 4],\n [-4, -4, 10, -1, -2, 3],\n [-1, 0, 4, 3, -10, 4],\n [-9, -8, -4, 10, 3, 1],\n [5, -4, 2, -1, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2538", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 5, -3, -4],\n [-9, -6, -10, 6],\n [3, -7, -4, -8],\n [-7, 0, 1, 0],\n [5, 9, 6, -8]]\nB =\n[[-1, 6, 3, 10, -3, -2],\n [-7, -2, 1, 1, 8, 0],\n [-2, 0, 4, 0, 10, 0],\n [-9, -3, 10, -9, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, -3, 3, 10, -1],\n [-8, -9, 3, 9, 7, 1],\n [7, -10, -10, 1, 6, -5],\n [2, 9, 9, 0, -2, -10]]\nB =\n[[6, 6, 7, -8, -10],\n [-5, 2, 5, 8, 5],\n [7, -4, 5, -5, -1],\n [-2, -7, 10, -3, -7],\n [10, -9, -1, 0, 10],\n [-6, -1, 9, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -2, 7, 2],\n [-5, 5, -1, -2],\n [-4, -9, -1, 3],\n [1, -2, 7, 8],\n [5, 6, 1, -2],\n [-7, 8, 0, 8]]\nB =\n[[-4, -4, -10, 3, -6, -8],\n [-5, 3, 9, 10, 1, -9],\n [-2, 6, 3, 6, -5, 8],\n [-2, 1, -2, 6, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, -4, -3, -10],\n [6, -9, -3, -9, 8],\n [-6, -9, -2, -4, -7],\n [9, -1, 5, 8, -1]]\nB =\n[[-1, 2, 0, -6, -3, 5],\n [9, -9, 6, 10, 6, 6],\n [-5, 3, 10, -8, -3, -3],\n [1, 10, -8, 8, -9, 5],\n [-9, -6, -2, -7, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 0, -10, -4, -3],\n [3, 2, -7, 3, -8],\n [-10, 2, 2, 7, -7],\n [-3, 9, 1, 9, 3],\n [-9, 8, 5, 9, -1]]\nB =\n[[8, -8, 9, -5],\n [0, 10, 7, 9],\n [9, 0, -10, 3],\n [5, 7, 5, 8],\n [-10, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 3, 5, 0],\n [10, -6, -4, -9],\n [-1, -2, -4, 8],\n [4, 6, -9, -3]]\nB =\n[[-5, 8, -2, 8],\n [1, -7, -9, -8],\n [-4, 7, 4, 10],\n [-4, 4, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -6, -8, -9],\n [-4, 1, -2, -10],\n [3, -3, 2, 2],\n [3, -10, 9, -4],\n [-7, 2, -2, -9],\n [2, 7, 6, -8]]\nB =\n[[0, 4, -4, -8],\n [-2, 3, -3, -1],\n [-4, -7, 7, 7],\n [-7, -4, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[6, -5, -3, -8, -7],\n [-2, -9, 10, 9, 9],\n [6, -8, -3, -7, 3],\n [-2, 10, 3, -2, 2]]\nB =\n[[2, 0, 7, 1],\n [6, 6, -5, 5],\n [-8, 2, 8, 7],\n [9, -9, 10, -9],\n [0, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -10, 5, 0, -2, 3],\n [-10, 9, -9, 9, -9, 3],\n [5, 3, -7, -10, 9, 4],\n [3, -3, 9, -10, 10, 9],\n [1, -2, -7, -9, -4, -3]]\nB =\n[[4, -3, 0, 5],\n [-2, -3, 4, -3],\n [-5, -6, 6, -2],\n [10, -7, -1, 10],\n [-3, -3, -6, 10],\n [2, -6, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[4, -10, 9, 4],\n [3, 3, 5, 2],\n [-2, 7, -7, -3],\n [-3, -6, -2, -2]]\nB =\n[[-5, -10, -6, -9, 9, 8],\n [-5, 4, 3, -4, -6, -6],\n [5, 10, -5, 0, -10, 10],\n [-7, 3, 3, 9, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 6, 10, -10],\n [6, -4, 4, -2],\n [1, -8, -4, -2],\n [7, -5, 5, -8],\n [-4, -6, 1, -5],\n [10, 9, -7, -3]]\nB =\n[[9, 7, -6, 2],\n [3, -9, -1, -4],\n [10, -1, -1, -9],\n [3, 6, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1267", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -5, -4, 6, -8, -4],\n [-9, -4, -10, 1, -3, -7],\n [8, 7, -8, 10, -5, 2],\n [10, 7, 5, -6, -1, -10]]\nB =\n[[4, -6, 3, 7],\n [-3, -3, 1, -4],\n [9, -6, 7, 2],\n [-1, -8, 1, 3],\n [-10, -8, -9, 4],\n [-10, 9, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[8, 10, 6, 10, 1],\n [1, -5, -6, -8, 9],\n [1, -5, 9, -4, -1],\n [3, -4, 7, 6, -9]]\nB =\n[[9, 7, 8, 10, 10],\n [8, -8, -9, -7, 6],\n [-1, 4, 4, -9, 10],\n [0, 6, 2, 0, -4],\n [9, 4, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -10, 8, 2],\n [5, 7, 9, -4],\n [-5, -5, -8, 8],\n [3, 0, -3, 2],\n [-5, 2, 6, 0]]\nB =\n[[-2, -2, -4, -3],\n [-5, 5, -8, -5],\n [1, 8, 0, 8],\n [-5, 1, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, -3, 4, 0],\n [5, 1, -2, -7, 10],\n [4, -4, -9, -9, -6],\n [6, -7, 4, 10, 5],\n [-5, 4, -7, 5, 5],\n [5, 0, 3, -3, 5]]\nB =\n[[7, 1, -1, -5, 1],\n [9, -2, 10, 7, -9],\n [6, 1, -7, 5, 8],\n [0, -2, 3, 5, 7],\n [10, -5, 3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1712", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, 4, -3, -10, 1, 6],\n [-10, -7, -5, 0, -3, -8],\n [-5, 5, -7, -6, -4, -6],\n [8, -4, -7, -2, -2, 10]]\nB =\n[[4, -10, -8, 10],\n [-7, -2, -9, 6],\n [7, -5, -10, 4],\n [-9, -5, -3, 10],\n [-4, -8, -8, 8],\n [-4, 4, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -4, 5, 2, 2],\n [9, 4, 9, 2, -9],\n [-9, 0, -8, 3, 6],\n [3, -9, -5, -9, 2]]\nB =\n[[7, 2, 10, -2, -3],\n [2, -6, -3, -7, 4],\n [-1, -9, 4, 4, 4],\n [8, 0, 8, 1, -10],\n [8, 5, -3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-3, 1, -2, 1],\n [-2, 9, -6, 5],\n [6, -3, 10, -7],\n [-1, -8, -8, -8]]\nB =\n[[10, -6, -8, -3, 5, 10],\n [-7, 9, 4, 3, -7, 3],\n [-7, -4, 4, -4, 10, 9],\n [9, 4, 1, 6, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[9, -6, 6, -1],\n [0, 5, 5, 9],\n [-6, -1, -9, 6],\n [4, 7, 10, -1],\n [-7, -9, 3, -6]]\nB =\n[[-4, 9, 5, -5, -7, -9],\n [9, 3, -10, 5, -6, -6],\n [-4, -7, 3, -10, 1, -2],\n [-10, -6, -5, -3, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -5, 1, 9, -2, -9],\n [-3, 9, 8, -4, 0, -7],\n [7, -2, 6, -2, -4, 10],\n [-8, -10, 0, -4, 4, 6],\n [9, 3, -10, -10, 5, 5]]\nB =\n[[-6, 4, 6, 6, 4],\n [7, -6, -6, 10, -2],\n [6, -10, -6, -3, -3],\n [7, 6, -9, -3, 3],\n [9, -8, 9, -6, 1],\n [1, -1, -3, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 3, 5, -3, 9],\n [-5, 0, 8, 9, 8],\n [-4, -5, -5, 5, 1],\n [10, 2, 9, -4, -9],\n [-5, -5, -1, -1, -3]]\nB =\n[[-9, -7, -7, -10, 4],\n [5, -10, 10, -7, 9],\n [7, -8, -6, -7, -10],\n [0, -6, 8, -3, 0],\n [3, 5, -10, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-5, 7, -4, -6, -6],\n [2, 9, 2, -8, 8],\n [-4, 10, -3, 6, 0],\n [5, 4, 3, 9, -3],\n [-3, 0, 8, 6, 8]]\nB =\n[[3, -6, -4, 3],\n [6, -7, -3, 1],\n [8, -1, 7, -5],\n [-7, 1, -9, -3],\n [-2, -1, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 8, 6, 0, 8],\n [-6, 9, 0, 1, -6],\n [7, 7, 0, -1, 6],\n [-4, -10, 1, 9, -2],\n [-6, -10, 0, 4, 9],\n [-7, 3, -6, -3, -7]]\nB =\n[[-3, 8, 4, 10],\n [1, -7, 9, 0],\n [-8, 2, 3, -6],\n [1, -7, -10, -2],\n [10, -8, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1695", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 3, 9, 4],\n [-7, -7, 0, 0],\n [6, 3, -10, 6],\n [-6, -4, -6, -1],\n [1, 6, -3, 8]]\nB =\n[[-3, 6, -8, -6, 6, 4],\n [10, -3, -9, 10, -2, -10],\n [9, -7, 10, -7, 9, -1],\n [-8, 9, 9, -9, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1652", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, -5, 5, -6, -1],\n [2, 10, -7, -7, -8, 7],\n [5, -7, 2, -8, -9, -6],\n [-4, -1, -4, -5, 10, -10]]\nB =\n[[-4, 0, -8, 3, 0, -3],\n [-10, -6, -2, 3, -9, 7],\n [9, 9, 1, 5, -1, 6],\n [5, 10, 5, 9, 0, -4],\n [-3, 0, -9, 10, 9, -10],\n [-9, -3, -6, -8, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-792", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -10, -6, -5, 4, 10],\n [-2, -9, -1, 3, 0, 10],\n [4, -5, -6, 8, -8, -9],\n [0, 4, -1, 4, 3, -8]]\nB =\n[[-2, 0, 0, -6, 0, 1],\n [-4, -6, 1, -8, -9, -7],\n [-2, -3, -2, 3, -7, 1],\n [9, -8, -3, 5, -9, -1],\n [1, 10, -6, 10, -8, 0],\n [-1, 1, 8, -7, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "718", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -5, 7, -9, -9],\n [4, -3, 2, 10, 5],\n [3, -4, 1, 1, 5],\n [2, 6, -9, -4, -6],\n [-8, -2, -1, -8, -1]]\nB =\n[[8, -6, -3, -7, -7],\n [-9, 2, -1, 9, 1],\n [1, -1, -9, -9, 9],\n [0, 1, -9, 7, -4],\n [-5, -10, 2, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1709", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -4, 5, -2],\n [2, 5, 4, -1],\n [1, -2, -5, 3],\n [-5, 9, 4, 4]]\nB =\n[[4, 0, -5, 4],\n [9, 1, -3, 2],\n [4, 1, -7, 1],\n [-4, 10, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -2, 4, 8, 0, -10],\n [4, -10, -1, -2, -9, -2],\n [4, 10, 7, -4, 9, 0],\n [7, -8, -9, -6, -2, -7]]\nB =\n[[6, 6, -8, -3],\n [2, -1, 2, 1],\n [-10, -3, 1, -10],\n [5, 5, 10, 10],\n [4, 5, -4, 9],\n [6, 6, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-337", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-4, 3, 9, 6, 0, -3],\n [8, 9, 1, 9, 9, 1],\n [0, 9, -4, -10, -3, -9],\n [9, -5, -7, -9, -8, 0],\n [6, 9, 10, 8, 1, -3]]\nB =\n[[8, 4, -6, 5, -1],\n [8, -3, 6, 0, 7],\n [-7, -4, -8, 1, 6],\n [-3, 9, 1, 0, -4],\n [-3, 8, -5, -3, 5],\n [10, 4, -9, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-9, 3, 10, 7, -8, 4],\n [-5, -9, 10, 5, 6, 8],\n [8, -5, 2, 2, 9, 0],\n [2, -3, -2, -9, -7, 0],\n [1, 0, -1, 6, 0, 2],\n [1, -4, -5, -7, -1, 7]]\nB =\n[[-7, 9, 6, 2],\n [8, -7, 10, -3],\n [8, -9, -9, 7],\n [-1, -10, 2, 8],\n [-2, -9, 9, 3],\n [1, -4, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 3, -9, -4, 1],\n [-7, 10, 0, 0, -8, -8],\n [-7, 8, 8, -3, 9, 1],\n [-10, 3, 4, 10, -1, -7],\n [-9, -2, -7, 9, 3, -8],\n [1, 8, 9, -5, 7, -4]]\nB =\n[[-10, -8, 1, 4],\n [-2, 7, 5, 10],\n [-9, 7, -9, -3],\n [-1, -3, -4, -5],\n [7, -10, -10, -5],\n [6, -6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1854", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 9, -1, -2, 2, 3],\n [-7, -9, -6, 7, -1, 8],\n [-7, 8, -5, 9, -3, -8],\n [-8, 0, 0, 0, -9, 1],\n [4, 8, 2, -5, -2, -9]]\nB =\n[[-2, -7, -2, 6, -5, -10],\n [8, -3, 6, -5, 4, 9],\n [-10, 1, -9, 8, 3, 3],\n [-5, 6, 4, -3, -5, 3],\n [-10, 10, -10, 10, -3, -10],\n [5, 6, 3, 10, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2228", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -2, 2, 6, 7, 4],\n [10, -1, 6, 5, 6, 0],\n [-1, -7, 1, 6, 4, 4],\n [-9, 0, -3, 1, 9, -1],\n [3, -5, -2, 8, 3, -7],\n [0, 6, -4, 10, -2, 9]]\nB =\n[[4, -8, 7, 8, -7, 0],\n [0, -5, -7, 6, -10, 8],\n [5, 6, 4, -10, 0, -5],\n [9, -7, 10, 3, -9, -8],\n [5, 2, 0, -2, 7, 9],\n [4, -2, 4, 1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2490", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -5, 2, 3, 8, 7],\n [10, 2, 7, 8, 0, 10],\n [-9, -2, -3, 6, 3, -10],\n [9, -2, 0, -7, 5, -2],\n [5, 9, 8, -9, 4, 10]]\nB =\n[[4, -4, 4, 10, -8, 4],\n [-6, 7, -2, 6, 2, 5],\n [-4, 5, 0, 0, -9, -1],\n [1, 4, -4, -8, 5, 3],\n [10, -3, -8, 5, -7, 0],\n [-3, 6, 2, 2, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2652", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -4, -4, 4],\n [-5, 1, 5, -1],\n [-8, -1, 2, -5],\n [-6, 10, 9, -8],\n [4, -6, -6, 7],\n [-5, -8, 10, -8]]\nB =\n[[5, 5, -7, -6, -5],\n [-1, 10, 4, 0, 10],\n [-9, 1, 8, 3, -5],\n [5, 8, 5, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1980", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -7, -6, 2, 8],\n [-9, -2, 6, -2, 7],\n [-2, 9, 8, -6, -7],\n [6, 5, 10, 3, 0],\n [-9, 7, 0, -4, 5]]\nB =\n[[-4, -8, -5, -5, 5, 10],\n [-4, 4, 10, 7, -10, 9],\n [7, -4, 3, 9, 2, -4],\n [10, 3, 0, 4, 3, -3],\n [-1, 9, 1, -5, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "323", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 10, 7, -3, -6, -4],\n [5, 2, 1, -1, 0, -3],\n [5, -4, 8, 2, -7, 2],\n [-4, 7, 8, -3, -4, 3]]\nB =\n[[-7, -7, 9, 8],\n [-9, -6, -9, -5],\n [3, 7, 2, 10],\n [-6, -5, -8, 7],\n [-1, -7, 5, -5],\n [6, 3, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "993", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -7, 5, 9, -4],\n [-7, -5, -2, -10, -3],\n [-6, 2, -3, -4, 9],\n [0, 4, 2, 8, -9],\n [-4, -6, -3, -10, 2],\n [-2, -10, -8, -7, -10]]\nB =\n[[-4, 8, 5, -10, 7],\n [10, 4, 9, -8, -1],\n [2, -8, -7, 3, 2],\n [7, -5, 2, 9, 5],\n [-4, 2, 4, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-926", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 2, -1, 7, 10, 10],\n [2, -7, -5, 1, -7, 5],\n [-9, -2, -10, -5, 6, -7],\n [7, -1, -6, 6, 8, -2],\n [-5, -1, 10, 0, -6, 5]]\nB =\n[[-7, 2, -6, -2, 4],\n [3, -6, 2, 10, 8],\n [0, -6, 8, -8, -5],\n [-2, 6, 4, -7, -3],\n [-10, -3, -8, 2, -6],\n [0, 6, 1, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 2, 8, 2, 10, -5],\n [2, 2, -9, 3, -4, 9],\n [-10, 10, 2, 1, 10, -6],\n [4, -4, -8, -1, -8, -2]]\nB =\n[[8, 6, -1, 5],\n [6, 5, -5, -7],\n [-3, -1, 6, 2],\n [9, 8, 3, 5],\n [8, -10, -8, -1],\n [10, -8, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 3, 4, -7, -1],\n [-6, -9, -10, -2, 0],\n [-5, -5, -3, -6, 10],\n [-6, -4, -3, 4, -8]]\nB =\n[[7, 3, -7, -5, -7],\n [9, 1, -6, 4, 3],\n [-2, 10, -3, -3, -10],\n [10, 3, 5, 3, -2],\n [-1, 3, 8, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-4, 4, -7, 4],\n [-4, 9, 3, -8],\n [7, -2, -9, 8],\n [-7, -1, -6, 5],\n [-5, 7, 7, 7]]\nB =\n[[9, -7, 6, -2, -8],\n [8, -5, -5, -10, -10],\n [-6, -10, 8, 10, 10],\n [3, -8, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 8, 6, 2],\n [-7, -2, 2, 6],\n [2, 5, 5, 8],\n [6, 0, 9, 8],\n [9, 7, 5, 10],\n [7, 10, -9, -3]]\nB =\n[[-1, -9, -2, -6],\n [0, 9, -4, -2],\n [-1, -2, 8, 10],\n [8, -6, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -3, 6, -10, 3, -6],\n [-8, -4, -10, -10, -10, -2],\n [4, -5, -10, -5, -7, -6],\n [5, 10, 7, 9, 7, -6],\n [3, -1, 4, -8, -8, -6]]\nB =\n[[5, 3, 4, -5],\n [-10, 8, 8, 6],\n [9, -4, 9, 4],\n [5, 10, -2, -6],\n [-4, 4, 5, -4],\n [1, 9, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-269", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 3, 5, 10, 2],\n [-4, -10, -9, -3, -4],\n [-5, -10, -2, -7, 1],\n [9, 0, 6, -3, -7]]\nB =\n[[7, 4, -8, -8, 0],\n [-6, 10, -2, -8, 3],\n [3, -3, 10, -1, -7],\n [-4, 0, 8, -8, 9],\n [-7, 2, -3, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -9, 4, -5],\n [7, 9, -9, 9],\n [-9, 3, -6, -9],\n [7, 6, 0, 8],\n [2, 0, 0, 1]]\nB =\n[[5, -9, 3, 3],\n [-9, 10, 2, -6],\n [10, -1, 9, -6],\n [3, 6, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-8, 6, 10, 6, -7, -2],\n [9, 4, -1, -9, -3, -6],\n [-9, 4, -3, 2, -3, -3],\n [6, 8, 7, -3, 9, 2],\n [3, 3, -5, -6, -2, 3]]\nB =\n[[-10, 1, 9, -1, 4, -7],\n [10, 5, 3, -3, 7, -8],\n [5, 3, -1, 5, -5, -1],\n [-5, 4, 2, -5, 3, -7],\n [-2, -10, -7, 1, -9, -3],\n [-4, -8, -2, -10, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, 6, 4, -2],\n [-8, 8, 6, 4],\n [-6, -1, -4, 0],\n [-5, -4, 1, -7],\n [9, 1, -9, -4]]\nB =\n[[-2, -1, -3, 4],\n [-3, 10, -7, 4],\n [1, 9, 5, 5],\n [-1, 10, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 9, 5, 1, 7, -8],\n [2, -4, 0, 2, -9, 4],\n [-8, -7, 7, 4, 6, -4],\n [-6, 0, -8, 6, -2, 9],\n [-5, -6, -3, 1, -3, 3]]\nB =\n[[-7, 6, 7, -8],\n [3, 0, 10, 2],\n [0, 1, 6, 9],\n [-7, 7, -5, -8],\n [-10, 6, -1, -10],\n [-4, -2, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 0, -2, -1, 1, -4],\n [-9, 9, 3, 5, 10, 9],\n [2, -8, -5, 9, -7, -10],\n [7, -6, 6, -7, 6, -6]]\nB =\n[[9, 0, -4, -6, -4],\n [3, 8, -2, -7, 2],\n [-7, 6, 0, 1, -10],\n [0, -6, -1, -2, 6],\n [6, -9, -2, 5, 10],\n [6, 4, 5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 1, -8, 1, -10, 9],\n [-5, -8, 2, -8, -1, -8],\n [-7, 7, 10, -5, -8, 3],\n [4, 2, 3, 4, 10, 5],\n [-8, 7, -2, -7, -3, -6],\n [-6, -10, 10, 2, 1, -7]]\nB =\n[[5, -2, -2, 4],\n [-8, 10, -8, 6],\n [-2, 3, 2, -1],\n [-8, 6, 10, -5],\n [-5, -6, 1, 6],\n [0, 9, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1725", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 3, -6, -9],\n [-7, -1, 10, 5],\n [6, -4, 6, 9],\n [-8, -9, 6, 5],\n [-10, 2, 8, -3]]\nB =\n[[9, 4, 6, 8, 0, -5],\n [-7, 10, -5, -10, 6, -2],\n [2, 8, -9, 3, -3, 3],\n [0, -4, 10, 8, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2022", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[6, 10, 6, 4, -7, -6],\n [5, -7, 2, 5, 6, -10],\n [-7, -8, 9, 3, 10, -8],\n [-3, -5, -7, -1, 9, 7],\n [7, 6, 6, -4, -3, 10]]\nB =\n[[2, 1, 3, 0, 3],\n [4, 10, 0, -2, 2],\n [-7, 8, 7, 8, -1],\n [5, 5, 6, 1, -3],\n [10, 4, 6, 7, -2],\n [-2, 9, -8, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -8, -10, -1],\n [-3, -8, 0, 10],\n [-7, -2, 4, -3],\n [-7, -7, -4, -8],\n [7, -3, -5, -8]]\nB =\n[[-5, -5, -6, -10],\n [-10, 2, 6, -1],\n [-3, 6, 6, 4],\n [4, 6, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1607", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 6, 0, 7, 9],\n [-6, -7, -9, -2, -2],\n [9, 10, 7, -4, -8],\n [-5, 9, 1, -2, -8],\n [-8, -7, 9, 2, 4],\n [-6, -5, 10, -1, 3]]\nB =\n[[-1, 7, -4, 6, 0, 5],\n [3, -8, 9, 5, -4, 2],\n [-10, -3, 8, -5, -10, 9],\n [-2, -10, -9, -10, -4, 2],\n [-1, 9, 2, 1, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-4, 8, -7, -5, -4],\n [-5, -5, 2, -9, 5],\n [7, 8, -1, 0, -6],\n [10, -5, 6, 7, -6],\n [10, 4, -5, 0, 8]]\nB =\n[[2, 7, 6, 0, 4],\n [-9, 0, 7, -4, -9],\n [-5, -8, 5, -1, 4],\n [-10, -3, -8, -1, -5],\n [7, -4, -4, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 6, -10, -9],\n [2, -8, 0, -5],\n [6, -3, -4, 6],\n [3, 8, -7, -2],\n [-1, 4, -7, -1]]\nB =\n[[-6, -6, 7, 0, -6],\n [-4, -3, -9, -7, 8],\n [-1, -8, 4, 7, -8],\n [8, -8, 7, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, 3, -3, -6],\n [-5, -7, 2, -6, 7],\n [3, 5, -7, 1, 6],\n [-1, 3, 1, -10, -8],\n [8, 10, 6, -7, 4]]\nB =\n[[8, -6, 8, 6, -4],\n [-8, 4, 0, 8, 4],\n [5, 1, 4, 10, 1],\n [-2, -3, 10, 2, -7],\n [-2, -6, 10, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 6, -6, 1, 9, 9],\n [3, -5, 9, -7, 8, -6],\n [-9, 9, 7, -4, 8, 2],\n [-10, 2, 6, 4, -5, 0]]\nB =\n[[-6, 10, -7, -5, -8, -9],\n [8, -2, -7, 8, 10, 6],\n [2, 10, 4, -3, -3, 0],\n [-5, 3, -10, 0, -6, 6],\n [-4, -9, 5, 0, 0, -8],\n [4, 3, 1, -9, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "833", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -2, 9, -3, -3, 6],\n [7, -1, 8, 6, 10, 5],\n [2, -1, -9, 5, 8, 1],\n [-10, 10, 3, 7, -5, -9],\n [5, 0, -3, -7, 6, -4],\n [-7, 9, 1, 6, -10, 7]]\nB =\n[[3, -2, 7, 3, -3],\n [-2, 1, -1, -2, 0],\n [5, 6, 0, 9, 9],\n [2, 10, 2, 9, 7],\n [-5, -5, 2, -3, -1],\n [5, -2, -4, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "491", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -10, -1, -6, -5],\n [-3, 0, 7, 6, -4],\n [-5, 0, 9, 7, 10],\n [3, -1, 0, 8, 2]]\nB =\n[[10, 9, 4, -7, -6, 4],\n [-7, 5, -2, -8, -10, 10],\n [-9, 10, -6, -3, -1, 2],\n [-1, 0, 6, 5, 7, -10],\n [-8, -6, -5, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 5, -5, -4],\n [-8, -6, -10, -10],\n [-10, -8, 4, -8],\n [5, -10, -10, 6],\n [3, 1, 6, 9],\n [7, -2, -1, -5]]\nB =\n[[3, 6, 6, 6, -9],\n [-4, 5, 9, 2, -4],\n [9, -9, -8, 5, 2],\n [-2, -7, 5, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 2, 7],\n [-4, 6, 1, -4],\n [-8, -7, 1, 7],\n [2, -6, 7, -5],\n [1, 8, -10, -10],\n [-6, 5, -9, -9]]\nB =\n[[-6, 8, 1, -10],\n [7, 3, 8, -8],\n [9, -10, 0, 7],\n [7, 6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -8, 4, -3, 0, 10],\n [9, 7, 8, -4, -6, 3],\n [-9, -7, -2, 6, 1, 0],\n [6, 2, 7, 1, -6, -4],\n [-5, -5, -10, -10, 7, 1],\n [-1, 3, 10, -9, -1, 6]]\nB =\n[[4, -4, 6, 1, 0, -7],\n [1, -10, 1, -1, 6, 3],\n [-7, 7, 8, -9, 4, -6],\n [-9, -1, -10, 2, 4, 4],\n [1, -2, 1, -5, 0, -5],\n [-7, -1, -8, -9, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2395", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -4, 5, 9, 9],\n [-10, 1, 2, -2, 2, -9],\n [-9, 3, 2, -4, 4, -6],\n [5, 1, -3, -5, 4, 1],\n [2, -8, -7, 6, -1, -3],\n [5, -8, -6, -7, -1, 2]]\nB =\n[[9, -6, 6, -5, 1, 9],\n [1, 6, 7, 1, 2, 10],\n [-2, 10, -7, -6, -3, 7],\n [1, -1, -4, -9, 7, -9],\n [-6, -4, -7, -1, 8, 4],\n [1, -9, 7, -6, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[10, 7, -7, 5],\n [9, 0, -10, -8],\n [10, 2, -5, -8],\n [6, 6, -3, 6]]\nB =\n[[-2, 4, -7, -3],\n [2, 3, 2, 1],\n [-5, -10, -1, 0],\n [0, 2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-10, -6, -5, 6, -7, -8],\n [6, -8, 1, 5, 9, 9],\n [-8, -3, -5, 4, 2, -10],\n [3, 2, 6, -9, 0, -6],\n [10, 3, 0, 9, 8, -7]]\nB =\n[[-6, -6, -4, -3],\n [-7, -3, 6, -3],\n [-3, -5, -1, -1],\n [-8, 7, 6, 1],\n [-6, 6, 2, -8],\n [1, -6, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 2, 2, 1, -5],\n [7, 4, 10, -1, 1],\n [9, -5, -9, 4, -10],\n [-5, -2, 0, -8, 5]]\nB =\n[[-1, -3, 1, -9],\n [7, -6, -7, 8],\n [-4, 10, -10, -10],\n [-6, 6, -8, -6],\n [8, 7, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-7, 7, 7, 3, -4, -3],\n [-7, 3, -3, 4, -4, -8],\n [-6, -10, 10, 1, 6, 1],\n [-2, 3, 3, 8, 4, -2],\n [6, 9, 3, -3, -10, -10],\n [8, -5, -5, -6, 6, 8]]\nB =\n[[-5, 4, -8, 1],\n [-8, -6, 4, 4],\n [-4, 5, 5, 7],\n [2, 5, 6, -6],\n [-2, -2, -5, 7],\n [10, 7, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 10, -2, -7, -2],\n [10, 8, 5, 9, 5, 10],\n [6, -5, -4, 10, 5, 3],\n [0, 10, -9, -5, -6, -10]]\nB =\n[[4, -9, -8, 7, 4],\n [-1, 1, -4, -7, 2],\n [-5, 2, -10, -10, -6],\n [-5, -1, -10, 7, -7],\n [-3, -9, 7, -2, 6],\n [3, -4, 4, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, -1, 10, -1],\n [-2, 4, 6, 8, -3],\n [3, 5, 10, -3, 7],\n [-9, 0, -5, -5, -3],\n [3, 6, 0, -7, 0]]\nB =\n[[7, -4, 6, -3, -6, 8],\n [-7, 10, -1, -1, 8, 4],\n [-7, -7, 9, -3, -2, -9],\n [6, -5, -4, -5, 9, -1],\n [5, 10, 7, -7, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 4, -7, -8, 8],\n [-6, 5, -5, 5, -2],\n [10, -4, 10, 8, -2],\n [-7, -9, -1, -1, 0]]\nB =\n[[4, 8, -9, 0, 5, 8],\n [-4, 9, 0, -6, 8, -8],\n [-5, -1, -7, -3, 4, 0],\n [4, 8, -5, 2, 5, -7],\n [-3, 8, 5, 3, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, -9, 9, -4, 2],\n [9, -8, -7, 3, 1, -2],\n [-10, -8, 9, 7, 9, 6],\n [-8, -3, -5, -2, 4, 5],\n [-10, 6, 2, -8, -9, 5]]\nB =\n[[-5, -6, -10, 10],\n [4, -3, 8, 10],\n [-7, 8, 0, 5],\n [4, 7, -1, -6],\n [-5, 0, -6, -10],\n [8, 10, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-1, -4, 0, 5, -9, -4],\n [-1, 0, -10, -9, -4, -8],\n [-10, -7, 0, -7, -1, 1],\n [-4, -5, -7, -3, -10, -7]]\nB =\n[[4, 0, 7, 4],\n [-7, -3, 1, 5],\n [2, -5, -6, -1],\n [1, 1, -3, -2],\n [4, 1, 3, -1],\n [-4, -7, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -3, 9, 1, -5],\n [7, -3, -8, -10, -10],\n [9, -8, 4, 8, -3],\n [7, -6, 8, 7, 10],\n [10, -8, -7, -7, 7]]\nB =\n[[-9, -1, -4, -6, -7, 6],\n [8, 7, 4, -8, 7, 10],\n [-5, 2, -2, -9, -5, 0],\n [-1, -10, -5, 0, 9, -7],\n [2, 5, -7, -5, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1433", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -4, 3, 1, 5],\n [6, -1, 5, 3, 9],\n [-6, -5, -4, -9, -10],\n [5, -7, 4, 6, -4],\n [6, -6, 8, -7, -2]]\nB =\n[[3, 9, 5, 1, -8],\n [3, -1, -9, -4, -6],\n [4, -8, 8, 0, 6],\n [3, -6, 0, 3, -6],\n [3, 5, 9, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 10, -4, 9],\n [-7, 4, 6, -8],\n [3, 4, -10, 2],\n [-7, 7, 10, -3]]\nB =\n[[1, 8, -9, 5],\n [-6, -3, -5, -8],\n [-5, 7, 6, -4],\n [-9, 4, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -2, -1, 6, 10],\n [-9, -7, 3, -3, 2],\n [-1, 1, 3, 0, -3],\n [7, 0, -5, 8, -3]]\nB =\n[[7, 3, 9, -2, 7],\n [1, 1, 5, 8, -9],\n [-10, 5, -10, 10, 4],\n [4, -1, -1, 10, 3],\n [-2, 2, 7, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, 3, -4],\n [9, 2, -3, 4],\n [9, -1, 3, 0],\n [-6, -3, 5, 4],\n [-7, -1, 1, -10]]\nB =\n[[-4, -1, 0, 3],\n [-6, -1, 9, 0],\n [1, -5, 6, -4],\n [3, 0, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, 9, -6],\n [-10, 4, 3, 6],\n [-5, -6, -8, -5],\n [-8, -6, 9, 10]]\nB =\n[[6, 4, -7, 1, -8],\n [-8, 5, -5, -2, -7],\n [10, 8, 8, -10, -7],\n [-4, 5, -4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[8, 7, -3, 8],\n [8, -6, 5, -9],\n [9, 5, 0, -7],\n [5, 7, 2, -8],\n [3, -3, -4, -9]]\nB =\n[[-6, 7, -6, 2, 10],\n [2, 2, -9, 9, 2],\n [0, 4, -3, -10, -9],\n [-4, 6, -5, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 9, -8, 0, -10],\n [-9, 4, 2, 6, 9],\n [-8, -2, 5, 1, -4],\n [-9, -8, 0, -5, -1]]\nB =\n[[-9, -3, 3, -9, 3, -1],\n [-4, -1, 8, -2, 5, -3],\n [4, 8, -8, 5, 2, -7],\n [-10, 3, -7, -2, 7, -10],\n [-5, -6, 4, -3, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "543", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -3, -8, 2, -3, -9],\n [8, 6, -8, 6, -9, 5],\n [-8, 10, -10, -4, 4, 2],\n [-10, 5, 6, -8, 7, 7]]\nB =\n[[-9, 5, -3, 2, 7, 1],\n [6, 9, 1, 8, -2, -6],\n [10, -3, -5, 8, -3, -3],\n [9, -1, -4, -10, 6, -1],\n [8, 1, 6, -6, 10, 3],\n [-6, 2, 4, -9, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -9, 3, 2, -10],\n [-1, -5, 6, 5, -6],\n [6, -6, -8, 8, -10],\n [-2, 8, 4, -6, 5],\n [0, -7, 1, -3, -10]]\nB =\n[[5, 3, 8, -1, -9],\n [0, 6, 8, -4, -2],\n [9, -6, 4, 3, -9],\n [5, -10, 7, 10, -2],\n [-8, 4, -2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 5, 5],\n [-4, -2, 8, -10],\n [-3, 0, 5, 9],\n [1, 2, -10, 1]]\nB =\n[[10, 10, -7, -2],\n [10, 5, -10, 3],\n [2, 7, -8, 9],\n [6, 0, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 10, 8, -8, -4],\n [-6, -1, 8, 5, 2],\n [-5, -4, 0, 2, -10],\n [3, -3, 8, -4, 8],\n [6, 5, 5, -7, 7],\n [-8, 4, 7, 10, -10]]\nB =\n[[2, -10, -9, 4, 0, 7],\n [3, 10, -4, -6, -6, -4],\n [9, 3, -2, 7, -4, -1],\n [4, -4, 8, -6, -9, -9],\n [8, 1, 1, 4, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -8, -2, -7, -1, -3],\n [3, -1, -5, -5, 2, 0],\n [1, -10, 9, 7, -5, -9],\n [-7, -2, -4, -1, 10, 6],\n [-10, 4, -3, 0, -3, 5],\n [-4, -3, 1, 8, 4, -10]]\nB =\n[[-7, -8, 3, -9, 6, -7],\n [10, -10, 5, 1, 9, 5],\n [-7, -1, 5, -7, 6, 2],\n [1, 9, -5, 9, 9, -3],\n [6, -9, 2, -10, 5, 6],\n [4, -10, -4, -7, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 6, -4, 8, 0, 1],\n [0, -4, 10, 3, 5, -2],\n [-2, 7, -1, 9, -8, 5],\n [6, 3, 10, 10, -4, 5]]\nB =\n[[2, 10, 1, -4, 2, 7],\n [-7, -5, 8, -1, -10, -6],\n [6, -6, 6, 5, 1, -2],\n [1, 6, 5, 9, 10, -5],\n [4, 0, 7, -10, -8, -8],\n [-3, 10, 5, 8, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "945", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -5, -1, -5, 10, 3],\n [6, -6, 10, 0, 9, 5],\n [3, -7, -8, 4, 1, -10],\n [5, -9, -8, -10, 1, -2],\n [-4, 0, 0, -7, -1, -3],\n [4, -8, -8, 8, 0, 0]]\nB =\n[[-9, -8, 8, -4, 6],\n [3, -1, -3, -5, -3],\n [-7, -4, 3, -4, -7],\n [-3, -1, 9, 1, -9],\n [6, -10, 6, -6, -3],\n [-9, -4, 6, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[4, 5, 0, 4],\n [5, -4, -10, 1],\n [5, 6, -9, -4],\n [4, -3, 0, -2]]\nB =\n[[10, -6, 10, 7],\n [-6, 2, 7, -3],\n [-3, -8, -1, -3],\n [-4, 5, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 1, 1, -9, -6, -1],\n [8, -10, -7, 9, 4, -8],\n [-8, 1, -8, 2, 9, -2],\n [-1, 6, 10, 9, -1, 9],\n [10, 5, 7, -7, 4, -3],\n [5, 1, 3, 2, -7, -6]]\nB =\n[[8, 7, 10, 9, 6],\n [10, 0, -3, -10, 1],\n [-4, 9, 1, 9, -8],\n [3, -8, -9, 0, -4],\n [-6, 0, 8, 10, 2],\n [-9, -8, -5, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 1, 9, -2, -6, 10],\n [1, 10, 9, 3, 6, -9],\n [6, -8, -3, 0, 10, 4],\n [5, 9, -1, 9, 3, 0]]\nB =\n[[-10, -2, -1, -7, -9, 2],\n [7, -5, -5, 7, 8, 10],\n [6, 4, -3, 3, -2, -3],\n [-2, -8, -4, -5, 4, -6],\n [-6, -4, 1, 8, -2, -10],\n [-4, 3, 3, -2, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 5, -3, 5],\n [6, 4, 1, 9],\n [-6, -5, 3, 9],\n [2, 0, 5, -8],\n [4, 9, 8, 0],\n [-8, -6, 5, -8]]\nB =\n[[-7, -8, -10, 6],\n [1, 9, 10, 8],\n [1, -5, 4, -4],\n [5, -8, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, 8, 10, -2],\n [6, -3, 3, 3, 10],\n [7, 3, -3, 7, -1],\n [-3, 0, 6, -4, 4]]\nB =\n[[5, 4, 8, 5, 7],\n [9, -10, 2, 1, 2],\n [-1, 6, -6, 6, 2],\n [-5, 8, 2, -2, 7],\n [-9, -8, 3, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -2, 0, -7],\n [-1, -8, 4, 1],\n [-7, 0, -5, 2],\n [3, 5, 4, 9],\n [1, 8, -1, -8],\n [7, 1, 8, 8]]\nB =\n[[-5, -6, -3, -9],\n [1, 3, 3, 3],\n [5, -7, 8, -5],\n [-8, 10, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-8, 5, 1, -7, 5],\n [-10, 3, -4, 7, -8],\n [1, 4, 0, 0, -4],\n [-5, 6, -10, 9, -10]]\nB =\n[[-5, 1, -3, 0],\n [1, -5, -6, 7],\n [-4, 4, -9, 3],\n [3, -7, -3, 7],\n [3, -5, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 7, 4, -10, -7, 9],\n [6, -4, 8, 1, 0, -10],\n [6, -9, -3, 7, 9, 9],\n [8, 1, 6, -1, -4, 10],\n [-5, -6, -8, 6, -5, 10],\n [-1, 7, -2, 1, 3, 6]]\nB =\n[[7, -7, 4, -1],\n [-2, -9, 4, 6],\n [6, 0, 6, 2],\n [-5, 6, 3, 8],\n [3, -1, -10, -6],\n [4, -5, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1650", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, 4, -7, -7],\n [-3, 1, 5, 1],\n [7, -10, 2, 0],\n [-1, -2, 8, -2]]\nB =\n[[1, -10, 2, 7, -8, -8],\n [-3, -5, 8, -8, -9, -3],\n [0, 6, 10, 5, -4, -1],\n [-3, 10, -6, -6, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -7, 6, 2, -8, 8],\n [-4, -5, -10, -3, -9, -3],\n [-6, -10, -10, -9, -8, -8],\n [2, -10, -5, 9, -10, 7],\n [-2, 10, 4, 4, -8, 9],\n [1, 7, 1, -6, -4, 0]]\nB =\n[[-9, 9, -9, 3, -1, 0],\n [-5, -7, 10, -8, -7, 7],\n [-2, 4, -2, -10, 4, -3],\n [-1, 2, -1, 1, 0, -1],\n [7, -8, -9, -1, -8, -5],\n [-7, 0, 2, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 0, 1, -5],\n [-3, 0, 2, -5],\n [-2, -1, -7, 4],\n [-7, -8, 8, 1],\n [9, 0, 7, 3]]\nB =\n[[-10, 4, 6, 9, -4, 2],\n [-10, -3, 9, 5, -1, -2],\n [-8, -8, 8, 0, 9, 5],\n [10, 7, 9, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 7, -6, -1, 10, -6],\n [-4, 9, -9, 1, 6, -5],\n [-5, 8, 6, -5, -5, -6],\n [8, -3, -4, -9, -3, -2],\n [7, -6, 4, -10, -1, 5]]\nB =\n[[4, 9, -6, -1, 5, 4],\n [-5, -5, 6, 3, 0, 2],\n [3, -5, -1, 1, -2, 1],\n [-5, 4, -1, -2, 9, -9],\n [4, -4, -7, 10, 10, 8],\n [2, -6, -5, -6, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "609", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, -4, 7, -5],\n [10, -4, -7, -8],\n [0, 4, -9, -2],\n [-10, 4, -4, -7],\n [-5, 0, -4, 10],\n [5, -10, 1, 7]]\nB =\n[[4, 10, 6, 3, 7, -2],\n [10, -1, 4, 7, 7, 1],\n [4, 7, 5, -5, -4, 6],\n [6, 6, -7, -8, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 10, 0, 10, -9],\n [9, -3, 3, -7, 5],\n [-2, -6, 1, 1, -7],\n [0, 4, 3, 4, 8]]\nB =\n[[-7, -8, 5, -8, -3],\n [-10, 1, 4, 8, 5],\n [-6, -10, 4, 9, 0],\n [-4, 3, -7, -3, 7],\n [-1, 1, 7, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 9, 5, 1, 5],\n [-1, 6, -8, -8, 6],\n [-2, 7, 10, -7, 9],\n [8, -4, -4, 10, -7],\n [-3, 0, 10, 0, 0]]\nB =\n[[-3, -10, 5, 10, 4],\n [-10, 5, 5, -10, 1],\n [6, -3, 4, -3, -2],\n [8, 2, 0, 8, 6],\n [4, 7, 5, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 9, 5],\n [-10, 3, -4, -7],\n [-3, -1, -5, 2],\n [-5, -5, 3, 2],\n [-8, -8, -5, 2],\n [-5, 3, 8, -6]]\nB =\n[[2, 10, -1, -9, -7],\n [9, -8, 1, -10, 1],\n [-3, 5, 4, 10, -7],\n [9, 1, 9, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -8, 6, 9],\n [-6, 4, 1, -5],\n [-8, 6, 8, 5],\n [1, 1, -5, -8]]\nB =\n[[6, 6, -5, 5],\n [-6, 8, -5, 9],\n [9, 8, -8, -4],\n [1, 9, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -6, 4, -10, -2],\n [0, -10, -8, -7, 7],\n [5, 4, -4, -3, -6],\n [10, -6, 10, 2, 7],\n [2, -9, 5, -5, 4],\n [-8, 4, 9, -3, -6]]\nB =\n[[-7, -3, 7, -7],\n [10, 9, -2, 4],\n [-7, 9, -7, -2],\n [5, 8, -5, 8],\n [10, 5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1017", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, 2, 8, -8, 3],\n [6, -2, 6, -5, 4, -9],\n [-7, 5, -1, -6, -5, 9],\n [4, 1, -4, -7, 2, -3]]\nB =\n[[-8, 9, 1, -8, 4],\n [3, -7, 0, 4, 8],\n [-3, 2, -8, 9, 5],\n [-7, -5, 6, 3, 5],\n [-8, 1, -10, 6, -5],\n [-2, 1, 6, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -9, 10, -5, 6],\n [5, -2, -2, 9, -5],\n [-8, -3, -9, 5, 1],\n [-2, 10, 10, -4, -6],\n [-6, 1, -4, 2, -7],\n [9, 9, -5, -10, -5]]\nB =\n[[6, 9, -4, 3, 6],\n [-7, -10, 9, -6, 1],\n [7, -3, -4, 2, -4],\n [-5, 10, 10, 3, 3],\n [-3, -3, 7, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1735", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 2, -3],\n [5, -6, -7, 8],\n [5, 2, 6, 6],\n [8, 2, 1, -4],\n [1, -9, -5, -7]]\nB =\n[[5, -1, -1, -9, 7, -7],\n [-5, -9, -1, -7, -9, -8],\n [1, 0, -8, -2, 9, -5],\n [-7, -10, -3, 2, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1637", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -4, -9],\n [3, 5, -2, 1],\n [5, -5, 5, -7],\n [-7, 8, -10, 9],\n [5, 10, -7, -3]]\nB =\n[[4, 1, 3, -4],\n [-3, 8, -6, -5],\n [0, -10, -4, 9],\n [-8, -10, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-9, -8, 5, 4, -3],\n [-8, -7, 1, 10, -5],\n [3, 2, -8, -5, -6],\n [-9, -8, -10, -4, 4]]\nB =\n[[7, 3, 9, 7, -7],\n [-2, 9, 8, -5, -10],\n [-10, 1, 6, -10, -3],\n [-2, 10, -4, -7, 6],\n [-6, -5, 6, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, 5, -3, -4, 4],\n [-3, 7, -9, 5, 5, 4],\n [8, 7, -4, 8, 6, 3],\n [-9, -5, -10, -9, 5, 10]]\nB =\n[[-6, -4, 4, 4, 6, -9],\n [9, -2, -5, -2, -9, 4],\n [-5, 2, -3, 0, 5, -8],\n [10, -9, -6, 0, -9, -10],\n [4, -7, -6, 9, 8, 10],\n [10, 4, 10, 2, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -8, -7, -2, -10],\n [-7, 3, -1, -9, 7],\n [9, -4, -4, -5, 1],\n [4, 7, 3, -10, 0]]\nB =\n[[4, -10, -7, -8],\n [3, -6, 7, 3],\n [2, -2, -6, -6],\n [-7, -4, 5, -8],\n [-3, 6, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-9, 5, -10, 0],\n [7, -7, -7, -5],\n [-5, 1, -4, 7],\n [-2, 8, 5, 8],\n [6, -1, -3, 6],\n [1, 4, 6, 9]]\nB =\n[[8, 1, 7, -3, 5],\n [7, 9, -8, 4, -7],\n [-3, 6, -6, 2, -3],\n [8, -3, 4, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 9, 7, 2, -4],\n [-4, -8, 3, 8, 5],\n [0, -6, -10, 8, -2],\n [-9, 3, 1, 0, -3],\n [-3, -3, -4, -9, 1],\n [10, -3, -7, -10, -2]]\nB =\n[[10, -8, 2, 7],\n [4, -7, 5, -7],\n [5, 8, -8, 8],\n [5, 9, -2, -10],\n [8, -7, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 4, 3, -9],\n [-6, -7, 6, -7],\n [-9, -4, -1, -2],\n [5, -2, -4, -5]]\nB =\n[[-8, -1, -10, -1, 0, 1],\n [-6, 1, 6, -1, 5, 0],\n [6, -3, -1, 7, 10, 2],\n [7, 10, 10, -4, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[0, 0, -5, -8, 0, -5],\n [-7, -6, 4, 4, -5, -3],\n [-6, 10, 4, -6, -5, -4],\n [-3, 0, 6, -1, 7, 2]]\nB =\n[[2, -9, 4, 8, 5],\n [9, -5, 6, 8, 1],\n [7, 5, 10, -6, 4],\n [9, 0, 5, -5, -5],\n [-6, -1, 7, 2, 7],\n [6, -1, -9, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 7, -9, 0],\n [-3, -6, -8, -2],\n [7, 7, -7, 6],\n [-1, 8, 1, 5]]\nB =\n[[-4, 5, 0, 9, 4, -3],\n [3, -5, -5, -9, 0, 9],\n [9, 1, -2, -3, 10, -2],\n [-8, -8, 9, 2, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 9, -7, -9, -8, -8],\n [6, -7, -10, -3, -6, -3],\n [-9, 0, -9, -7, -2, -2],\n [4, 10, -6, -4, 3, -10],\n [5, 4, 4, 3, 7, -8],\n [-10, 10, -6, -9, -5, 3]]\nB =\n[[10, 5, 4, -10, 10],\n [-10, 1, 9, -8, -1],\n [5, -1, -7, 10, 3],\n [2, -10, 10, -2, -8],\n [3, -7, 10, 1, -7],\n [-7, -5, 6, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2628", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -7, 7, 4],\n [-1, -7, -7, -3],\n [-10, -9, -6, 8],\n [9, -1, 10, -9],\n [3, 1, 7, 7],\n [9, 6, -10, -9]]\nB =\n[[-3, 8, 9, 6],\n [10, -3, 5, -1],\n [-4, -1, 4, -1],\n [6, 8, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 9, -5, 10],\n [6, -6, -9, -5],\n [-4, 0, 2, 4],\n [0, 7, 0, 2],\n [5, 8, 1, -5]]\nB =\n[[6, -1, 2, 9],\n [3, -10, -9, 2],\n [4, 2, -5, -9],\n [10, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1338", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -7, 4, -7, 7],\n [9, 9, 3, 4, -8],\n [9, 6, 10, 2, 0],\n [5, 0, 6, 9, -9],\n [-6, 9, -3, -6, 1]]\nB =\n[[-3, 5, -7, 3, 9, 9],\n [3, 4, 1, 0, 10, -5],\n [-1, 2, 3, -1, 3, 1],\n [-4, -4, 10, 7, 6, 1],\n [-5, -10, -3, 10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1792", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 7, 10],\n [9, 0, 5, -6],\n [-3, -10, -4, 9],\n [5, 2, 7, 0],\n [-2, -2, -1, 0],\n [-10, -2, -7, 6]]\nB =\n[[0, -8, 0, -4, 7, 9],\n [-9, 0, 3, 4, 4, 2],\n [3, -10, 8, 4, -4, -2],\n [8, -4, 7, -5, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 1, -1, -10, -6, -7],\n [5, 1, -2, 2, -9, 10],\n [5, -9, 0, -2, 2, 10],\n [-4, 6, -4, 7, 9, -10],\n [0, -7, -6, -1, 10, -9],\n [5, -9, -6, 0, -5, 4]]\nB =\n[[7, -9, 2, -7, -6],\n [1, 6, -5, 10, -1],\n [2, 6, -3, 6, 3],\n [1, 5, 10, -5, -4],\n [6, 6, 3, 3, -5],\n [-2, 1, -9, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2543", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, 7, 9, 6],\n [9, 6, 9, -1],\n [8, 10, 5, 3],\n [9, 3, 1, -8],\n [-3, 3, -8, 4],\n [-10, 3, -5, -8]]\nB =\n[[3, -1, -3, 5, -5, -5],\n [-5, 4, 4, 0, 3, 3],\n [0, 10, -7, 10, 2, 2],\n [-7, -1, 7, 4, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, 5, -8, 6],\n [7, 0, -7, 7, -10],\n [-5, 8, 3, 10, 3],\n [2, 6, -9, -7, 2]]\nB =\n[[-8, -3, 3, 10],\n [6, -10, -3, -2],\n [2, -1, 2, -8],\n [10, 5, -4, 7],\n [7, 8, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, -4, -5, 1],\n [5, -9, 10, 8, 4],\n [7, 0, -2, 9, 0],\n [-3, 0, -4, -3, 6],\n [6, -8, 10, 8, 6],\n [-9, -5, 6, 9, -6]]\nB =\n[[-4, 3, -8, -10],\n [0, -6, -7, -9],\n [6, -3, -7, -8],\n [9, -8, -7, 0],\n [5, 10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 2, -3, 0, 6],\n [6, -4, -1, 4, -6, 8],\n [-5, 8, 6, -7, 6, -9],\n [10, -5, 7, -4, -10, 2],\n [-7, 7, -9, -10, -8, 7]]\nB =\n[[3, 9, 1, 6, -9, 3],\n [6, -9, -9, 3, -6, 4],\n [7, 2, -6, 10, 9, 4],\n [7, 2, -9, 10, 1, 0],\n [5, 8, -4, -9, 0, 2],\n [-2, 5, -2, -2, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -2, -4, 9, -9, 1],\n [2, -4, -8, 9, -6, 1],\n [-8, 0, 0, 0, -2, 3],\n [3, 4, -9, -9, 1, -9],\n [-10, 5, 5, -6, -7, 8],\n [-3, 0, 7, 6, -4, -10]]\nB =\n[[-6, -5, 5, 4, 2],\n [-10, 5, -4, -2, 6],\n [-8, 7, 9, -4, 2],\n [5, -7, 3, 10, -6],\n [8, -10, 9, -8, -10],\n [0, -7, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 7, -2, 8],\n [-10, -2, 10, 10],\n [1, 3, -6, 0],\n [8, -1, 6, 9]]\nB =\n[[5, 8, 10, 6, 9, 8],\n [9, 5, 0, -5, 6, 9],\n [9, 10, 2, -6, 1, 4],\n [-4, -2, 9, 8, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1014", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -3, -9, 5],\n [3, -1, -2, 10, -3],\n [1, -6, -6, 10, -5],\n [-1, 9, -7, 1, -2],\n [9, -1, 7, 8, 8],\n [0, -5, -8, -1, 8]]\nB =\n[[-6, 4, 2, 9, 9],\n [0, -1, 6, -9, -9],\n [2, 1, 1, -2, -4],\n [-7, 0, 8, 9, -5],\n [-9, 2, 0, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -8, 5, -8, -7, -1],\n [0, -5, -5, 2, 1, -4],\n [6, 2, 7, -2, -4, -1],\n [2, -8, -10, 6, 6, 9],\n [-4, 2, 9, -1, -5, -7],\n [-9, 6, 9, 10, -9, 6]]\nB =\n[[-4, -2, -8, 8, -7],\n [5, -3, 8, 0, -4],\n [10, -2, 5, 3, 0],\n [3, 1, 4, -6, -10],\n [10, 3, 6, 3, -4],\n [-8, 6, 6, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -2, 0, -5, -9],\n [8, -7, 5, 2, 8],\n [-2, 10, 4, 9, 2],\n [-1, -4, 2, -3, 9],\n [-6, -9, 1, 5, -5],\n [-6, -1, 0, 1, -10]]\nB =\n[[-5, -10, 2, 4, -8, -7],\n [9, -9, -4, -9, 4, -6],\n [7, 5, -10, 5, 4, -2],\n [-7, -5, 7, 2, -10, -5],\n [-10, 2, -1, 2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -1, -7, 3, 5, -2],\n [5, -9, -2, 7, -1, 8],\n [-6, -3, 8, -10, 8, 2],\n [4, 8, -10, -5, 8, -5]]\nB =\n[[8, -7, 2, -3, -10],\n [3, 1, 10, -7, -8],\n [-1, 1, -10, 1, 6],\n [-8, -10, 0, -6, -6],\n [8, -1, -8, 7, 7],\n [-10, 5, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 2, -6, -2, 9, -1],\n [-10, 1, 4, 1, 9, 9],\n [1, -10, 9, 7, -4, 7],\n [9, 3, -3, 8, 0, -10],\n [-6, -6, 5, 8, 3, -5]]\nB =\n[[-5, -1, -5, 7, 7, -3],\n [-9, 9, -8, 7, 6, 9],\n [-8, 2, -8, -9, -3, -2],\n [-1, -1, -6, 0, -5, 2],\n [-4, 5, -7, 4, -7, 4],\n [7, 2, 10, 5, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-719", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-3, -6, 3, 7, 10],\n [6, 6, -1, 5, 10],\n [7, 3, 7, -3, -4],\n [-1, -8, 9, -1, 9]]\nB =\n[[2, 1, -1, -8, 6],\n [6, 2, 1, -3, -4],\n [-9, -7, 7, 2, 5],\n [3, 4, 1, -9, -6],\n [-10, 1, 0, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 6, -4, 7, 2, 10],\n [-7, 5, 6, -5, -2, 5],\n [-7, 10, -4, -6, -5, -1],\n [1, 1, -1, 2, -5, 1],\n [9, -2, -3, 4, 7, -10],\n [-3, 0, 0, -9, 3, 10]]\nB =\n[[-1, -4, -8, 8],\n [-3, -7, -9, 5],\n [2, -5, 1, -10],\n [-3, 6, 7, 3],\n [-4, 3, -4, -5],\n [-2, 8, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[7, -4, -10, 8, -4, 8],\n [4, 2, 3, 8, -10, -3],\n [-5, -9, -9, -8, 8, 2],\n [2, -4, 3, -2, 7, -10]]\nB =\n[[1, 6, 8, 1],\n [9, 3, -8, 1],\n [-7, 3, -8, 4],\n [1, -7, 1, -5],\n [-6, 6, 4, -10],\n [2, 8, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 2, -1, -5, -2],\n [-6, 2, -7, 7, -1],\n [10, 7, 9, 6, -1],\n [1, -1, 10, -10, -3]]\nB =\n[[-4, 1, 2, -2],\n [2, -5, -1, 6],\n [-9, 3, 2, -8],\n [-5, -5, -3, 8],\n [7, -2, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 4, -1, -4, -8, 7],\n [10, -6, 4, 10, 8, -2],\n [3, -4, 10, -2, 9, -10],\n [8, 10, 1, -5, -1, -10],\n [1, 3, -8, 5, 0, 10],\n [-3, 1, 3, 3, 1, 7]]\nB =\n[[-9, -1, 9, -4],\n [3, -5, 8, -8],\n [-1, 8, 8, 7],\n [8, 3, -3, -1],\n [10, 10, 2, 3],\n [-10, 2, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 7, 10, -6],\n [9, 3, 1, -7],\n [-1, 2, -1, -10],\n [3, 10, -7, 0],\n [10, -5, -5, -2],\n [2, -10, 6, 7]]\nB =\n[[-10, 5, 9, 4, -3, -10],\n [0, -7, 5, 0, -3, 7],\n [5, 0, 8, -8, 9, 10],\n [1, -7, 2, -9, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2399", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[1, 6, 10, 3, 5, 10],\n [-8, -2, -7, -6, -7, 7],\n [10, 4, -9, 5, 5, 10],\n [-9, 4, -7, 5, -3, 7],\n [3, 10, -6, 4, -10, 0]]\nB =\n[[0, -10, -7, -8, 5],\n [1, 1, -6, 8, 10],\n [-9, 3, -4, -6, -7],\n [-4, 5, -1, -3, 6],\n [-9, -8, -9, -9, 6],\n [9, 0, -6, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[0, 7, 7, 8, 9, 1],\n [-3, -9, -4, 10, -7, -10],\n [-8, -5, 8, 9, 4, -7],\n [-4, 6, -6, -4, -1, 4],\n [8, 10, -1, 4, 4, -10],\n [5, -3, 6, -2, -3, -10]]\nB =\n[[6, -8, -2, -3, -9],\n [10, -6, -5, 5, -8],\n [6, -9, 3, -5, -8],\n [-10, -10, 3, -5, -6],\n [-7, -10, 5, -6, -9],\n [-5, -7, 1, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -9, 1, 7, 5, 6],\n [-5, 7, 1, 1, 0, -8],\n [-5, 5, 0, -3, 0, 5],\n [6, 10, 4, 2, 6, -10],\n [1, -4, -3, -2, 0, -1]]\nB =\n[[8, -10, -6, 7],\n [7, 9, -8, -2],\n [-3, -6, 0, 8],\n [10, -10, -10, -7],\n [-10, -5, 7, -6],\n [-1, -9, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -9, 5, 1, 7, 0],\n [6, 2, 5, -5, 9, -5],\n [5, 0, 5, -1, 9, -1],\n [5, -9, 1, 7, -1, -2],\n [6, -2, -9, -2, -10, 9],\n [-9, 6, -6, -4, 0, 5]]\nB =\n[[-3, 1, 5, -10],\n [-10, 5, -7, 7],\n [9, -1, -7, -7],\n [2, -4, -9, -6],\n [1, 7, -8, 9],\n [7, 8, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[10, -1, 1, 8, 2, 10],\n [-1, 1, 1, 6, 3, -2],\n [-2, -2, 1, 2, -6, 8],\n [-2, 2, -4, 2, 2, -4],\n [-6, 10, 9, -7, -3, -1],\n [4, 5, 7, -10, 0, -6]]\nB =\n[[-4, 2, 10, -4, -5, 9],\n [-10, 3, 4, 1, 0, 10],\n [4, -9, 7, -5, -5, 0],\n [-5, -2, 0, -5, 6, 0],\n [6, 3, 5, 5, -5, 4],\n [-2, 2, -8, -7, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 7, 4, 2, 3, -6],\n [6, -10, 3, 2, 4, -7],\n [7, -5, 3, -1, -6, -6],\n [5, 9, 0, -9, 1, -4],\n [4, -5, 3, 9, 2, -10],\n [-10, -2, -4, 3, -9, -8]]\nB =\n[[10, 4, 4, -3, -9, -8],\n [5, 8, 4, 2, 10, 9],\n [3, -4, -10, 8, -10, -4],\n [-8, 3, -3, 8, -1, -1],\n [3, -5, -6, 6, 3, -7],\n [0, 5, -4, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 1, 3, -4, 8],\n [2, 4, 0, -10, 7],\n [-6, -3, -8, 6, 1],\n [7, 2, -2, -4, 2],\n [-5, -2, 9, -6, -9],\n [-1, 0, -7, 8, 4]]\nB =\n[[-4, 10, 4, 8],\n [5, 0, -5, -2],\n [3, -6, -8, 4],\n [-10, -8, -3, 2],\n [1, -10, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, -2, 5, 3],\n [1, -4, -10, -5, 1],\n [5, 3, -5, -2, 2],\n [-7, -4, 4, 1, 3],\n [-7, -7, -1, -2, 2]]\nB =\n[[2, 10, -5, 5],\n [9, 1, -6, -3],\n [-3, -2, 1, -3],\n [2, 5, -4, -4],\n [10, 2, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 1, 6, -3, -5],\n [0, 6, -7, 2, -4],\n [-1, 5, 3, -10, -9],\n [-9, -5, -5, 1, 8],\n [8, -1, 5, 6, -8],\n [5, 7, -10, -10, 1]]\nB =\n[[-1, 10, 8, -3],\n [1, -3, -8, 0],\n [7, -9, 3, 4],\n [-8, -5, -9, -9],\n [-5, -1, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1556", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 10, 8, 3, -10],\n [-6, 0, -7, 10, 2],\n [-9, 9, 8, 6, -5],\n [1, -3, 7, 8, 2],\n [9, 4, 4, 0, 8],\n [-10, -3, 2, 0, 6]]\nB =\n[[-2, -5, 9, -8, 1, 0],\n [4, 2, -3, 4, 1, -9],\n [5, -1, -1, -9, -9, 2],\n [5, -7, 8, -10, -9, 8],\n [9, -3, 9, -10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-370", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 9, 7, -1],\n [8, -6, 0, -7],\n [0, -1, 6, 4],\n [-5, -5, -1, 0]]\nB =\n[[-2, 10, 3, 3],\n [0, 7, 9, 0],\n [1, 1, -1, -8],\n [-9, 6, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 4, -7, -5],\n [7, 8, -10, 8],\n [9, -4, -10, -3],\n [4, 10, 4, -8]]\nB =\n[[9, 5, -5, -8, 3, 3],\n [10, -4, 10, 4, -10, -4],\n [-4, 8, -5, -5, -8, -6],\n [8, -3, 9, -6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -8, 6, 2, 8],\n [5, -10, 5, -5, -10],\n [7, -2, -2, 5, -4],\n [8, -7, -10, -3, -5],\n [-3, -8, -8, 8, 9]]\nB =\n[[10, -6, 0, -3, -3, -5],\n [-9, 4, 5, -1, -8, 3],\n [5, 5, -9, 3, -1, -10],\n [1, 7, 9, -3, 7, 0],\n [-8, -2, -9, -1, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[0, -1, -9, -7, -9],\n [6, -10, 0, -10, 0],\n [-5, 7, 0, 7, 6],\n [-1, 6, -1, -3, -2],\n [-10, -6, 5, 3, 3]]\nB =\n[[-6, 5, 4, -9, -2, -4],\n [1, -7, 3, -7, -5, 4],\n [-9, -1, -4, -10, 6, 6],\n [10, 8, -1, 10, -3, -1],\n [3, -10, 1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 10, 4, 0],\n [-3, -7, 5, 2],\n [5, 6, 1, -10],\n [5, -6, 1, -8],\n [-10, -7, -3, 0],\n [-6, -2, -1, 8]]\nB =\n[[-10, 6, 9, -8, -2, 6],\n [-9, -3, -9, 10, -4, -9],\n [-5, -8, 8, -10, 8, -7],\n [10, 8, 4, -5, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2514", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, -4, 5],\n [-6, 7, -1, 10],\n [-2, -7, -1, 3],\n [1, 4, 0, -5],\n [1, 10, -1, 0],\n [-7, 10, 1, 8]]\nB =\n[[-8, 1, -7, -1],\n [6, 10, 3, -3],\n [-8, 6, 8, 1],\n [-4, -10, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[5, 4, 1, 9, 3, 2],\n [-3, -5, 4, 2, -6, 2],\n [-9, 10, -9, -9, 5, 3],\n [10, -8, 0, -2, -6, 5]]\nB =\n[[-4, 7, -6, 4],\n [8, 5, 4, 3],\n [-4, -8, 4, -6],\n [-10, 7, -6, 10],\n [3, 1, 6, 1],\n [8, -9, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 0, -8, 1, -6, 0],\n [3, 5, -5, 7, -9, 9],\n [-10, 3, -3, -3, -2, -8],\n [5, -4, 5, -1, 4, 5]]\nB =\n[[-3, 6, 1, 0],\n [-5, -6, 6, -7],\n [8, -9, -1, -6],\n [-6, -3, 5, 8],\n [5, 3, -1, -8],\n [-6, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -1, -10, 2],\n [3, 1, 8, -9],\n [-2, 5, 8, 9],\n [-7, -8, 9, -8]]\nB =\n[[9, -8, 2, -6, 0],\n [-7, 7, 10, 0, 4],\n [5, 5, 6, 1, -1],\n [1, 1, -4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1060", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -6, -6, -1, 1],\n [-2, 9, 9, 10, -6],\n [10, -5, -4, -5, 2],\n [0, -1, 5, 2, -6]]\nB =\n[[0, -7, -9, -3, -6],\n [8, -5, -10, 4, 9],\n [6, -9, 0, 6, 5],\n [7, -10, 4, -7, -10],\n [-3, -2, -3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 1, 10, -10, -3, 4],\n [5, -3, 3, 7, 8, 8],\n [6, -6, 7, 9, 4, 9],\n [-10, 10, -2, 4, -5, -5],\n [-5, -6, 3, 0, -1, -5],\n [5, -6, -4, 6, -5, -9]]\nB =\n[[-6, -10, 1, 7, -5],\n [-4, 9, 0, -5, 6],\n [10, -8, 2, -5, 10],\n [2, -10, 5, -4, -3],\n [-5, 4, -9, 1, -9],\n [-10, 7, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -5, 10, 1],\n [2, -7, 3, -4],\n [-5, -6, -7, 1],\n [4, 2, 5, -5]]\nB =\n[[-2, -2, 0, -2],\n [1, 1, 5, -6],\n [10, 6, 3, 5],\n [1, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 8, 3, -4, 2],\n [0, -7, -3, -4, -6],\n [2, 5, 3, 10, -10],\n [0, -10, 0, -2, 4],\n [-10, 7, 7, -9, -8]]\nB =\n[[-2, -1, 1, -6],\n [5, -2, -8, 0],\n [-7, -6, -3, -9],\n [-10, 6, 8, -8],\n [-5, -6, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 8, 8, -4, -9, 10],\n [-6, -1, -9, 7, -3, -8],\n [4, 6, -6, -2, -2, -5],\n [-9, -3, -3, 3, 5, 10]]\nB =\n[[-3, -1, -8, -7],\n [-2, 5, 7, -4],\n [7, 3, 7, 4],\n [4, 3, -5, 10],\n [-10, 5, 8, 0],\n [6, -2, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -6, 10, 10],\n [-3, 1, 9, -3, -2],\n [-2, 1, -4, 7, 7],\n [-5, -4, 1, -7, -1]]\nB =\n[[-7, 9, 0, 10],\n [8, 6, -4, 6],\n [10, -10, 3, -7],\n [-4, 7, 7, -2],\n [-1, -5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 7, 1, -6, -2, 2],\n [-5, -8, 10, 4, -3, 9],\n [-5, 10, -2, -4, -1, -10],\n [7, 3, -6, 4, 6, -3],\n [1, 2, -10, 5, -2, -3],\n [3, 1, 7, 9, 0, -2]]\nB =\n[[-6, -8, 5, -8, 4, 8],\n [-4, -5, 4, 6, 5, -3],\n [5, -4, 10, -10, -9, -1],\n [-9, -9, -9, -5, -4, -8],\n [6, 3, 4, -4, -4, 2],\n [8, -3, 7, -7, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2630", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -9, -5, -9, -1, 2],\n [-8, 8, 6, 3, -9, -9],\n [9, -3, -1, 7, -7, 4],\n [-8, 3, -3, 4, -1, -5],\n [-7, -5, -6, -9, -1, -2]]\nB =\n[[2, -2, 3, 8, -9, 1],\n [-6, -9, -4, 7, -7, -8],\n [-3, -9, -2, 1, -7, -8],\n [-1, -3, -4, 4, -10, -7],\n [-9, -6, -4, 1, -4, 6],\n [4, -8, -8, -9, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2450", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -1, -7, -1],\n [-10, 2, -8, 0],\n [-4, -8, -2, -7],\n [5, 0, -3, -4],\n [0, 7, 0, -2],\n [-10, 0, -7, -5]]\nB =\n[[4, 7, -5, 9, -9, 2],\n [9, -8, -7, -8, -5, -7],\n [-8, 9, -4, -5, -1, 5],\n [-3, -8, 4, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, -5, 2, -4],\n [-10, 1, -6, 9, -5],\n [-9, -6, 2, 3, 5],\n [-2, -8, 0, 10, 7]]\nB =\n[[-6, -4, 9, -9],\n [-7, -1, 7, -3],\n [-9, 7, -3, -8],\n [-2, 6, -9, 8],\n [10, -4, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -7, 9, -4, 10],\n [2, 6, 3, 10, 9],\n [-10, 7, 8, -10, -10],\n [6, -9, -4, 10, 9],\n [7, -2, 2, 5, -8]]\nB =\n[[-9, 9, -8, -6],\n [9, 5, -3, -1],\n [3, -9, 6, 5],\n [2, 4, 2, -7],\n [10, -8, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1729", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 7, 7, -10, -4, -4],\n [-5, -2, -1, 5, -8, 2],\n [-4, 5, -7, -6, -3, 8],\n [3, -1, -5, -2, -2, 6],\n [-10, 2, -6, -8, 10, 8]]\nB =\n[[-6, 6, 2, 6],\n [-5, 8, -4, -5],\n [-4, 0, 6, 7],\n [6, -2, -9, 10],\n [-2, -5, -4, 7],\n [4, 7, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 10, 10, 5, 3],\n [1, 6, 9, 6, 6],\n [4, -7, -7, -3, 6],\n [-9, 4, -4, 4, -9],\n [2, 2, 6, 9, -7]]\nB =\n[[-10, -3, -8, 3, -2, 1],\n [-5, 1, -10, 3, 9, 5],\n [-5, -1, -4, -7, -4, -8],\n [10, 3, 6, 6, -4, -6],\n [-4, -2, -9, 1, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 0, -10, -4],\n [4, 9, 0, -10],\n [-5, -7, 8, -5],\n [0, -4, -7, 5],\n [7, -8, -1, 8]]\nB =\n[[2, -2, -6, -3],\n [4, -3, 0, 1],\n [-10, 6, 10, -7],\n [-9, 2, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 6) of the product matrix AB given:\nA =\n[[-9, -5, 7, 7, 10, 3],\n [-1, 2, 8, -6, -7, 5],\n [-5, -9, 1, -3, -5, -8],\n [7, 7, -4, 8, 3, 0],\n [10, 5, -7, 4, -8, -9]]\nB =\n[[4, 9, -7, -3, 10, -9],\n [-9, -5, 1, -9, -9, 6],\n [5, 7, 8, -3, 5, 5],\n [-6, -4, 7, -6, 10, 9],\n [6, 4, 3, -5, 1, -3],\n [5, 7, -4, 9, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[2, -8, 2, -2, -4],\n [0, -8, 7, -8, 8],\n [10, 9, -4, 2, 5],\n [9, -9, 3, -5, -8]]\nB =\n[[-7, 9, 4, -3, 8],\n [0, -7, 6, -2, 10],\n [4, 7, -10, 7, -5],\n [3, 0, -3, -10, -8],\n [0, -9, 0, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 9, 3, 0, -1],\n [-3, -5, -6, 8, -3],\n [0, -1, 4, -4, -4],\n [8, -3, -6, 5, -1],\n [2, 3, 6, -10, -5]]\nB =\n[[7, 10, 7, 6, 0, 5],\n [-8, -6, -10, 2, 1, -5],\n [-6, -6, -4, 1, 4, -7],\n [3, 10, 5, -4, 1, 7],\n [4, -7, 6, 8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2166", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -4, -7, -10, 1],\n [-3, 8, 4, -4, 6],\n [-4, -3, -9, -5, 8],\n [-5, -8, -5, -10, 0],\n [-3, 9, -3, 5, -8]]\nB =\n[[-8, 1, -1, -1, 1],\n [10, -6, 9, -3, 3],\n [5, 7, 0, 5, -7],\n [-3, 6, -3, 6, 1],\n [3, -2, -9, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[1, 6, 2, -8],\n [2, -1, -1, 1],\n [3, 2, -5, -7],\n [10, 7, 5, -9],\n [-6, -10, 6, -2],\n [-9, -7, -4, 6]]\nB =\n[[-4, 2, 8, -1, -6],\n [2, -9, -10, 3, 5],\n [-7, 2, -3, 9, 4],\n [-6, 0, -8, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 4, 3, 1, 9],\n [-8, 1, 3, 8, 7],\n [-6, 3, 1, -8, 6],\n [-6, -3, -10, 3, -7]]\nB =\n[[4, 5, 1, -7],\n [-10, -8, -4, -10],\n [-6, -6, 8, 9],\n [-3, -2, 7, 2],\n [3, -10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-5, -6, -2, 5, 7],\n [6, 6, 8, -9, -2],\n [4, -10, 9, -7, 5],\n [-10, -8, -4, 4, 5],\n [9, -10, -9, -5, 2]]\nB =\n[[-7, 10, -4, -9, 9],\n [-8, -6, 3, 0, -9],\n [-1, -5, 1, 1, 1],\n [1, 4, 3, -6, 10],\n [10, -5, -7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[7, -3, -8, 4, -9, 9],\n [3, 5, 3, 1, -3, 10],\n [0, 6, 10, -2, 2, 3],\n [-2, 10, 3, 10, -2, -5],\n [-5, 8, -5, -10, -4, 2],\n [-2, 8, -2, -10, 10, -3]]\nB =\n[[6, 7, -9, -8],\n [-5, 9, 10, -10],\n [-9, 5, -1, -5],\n [1, 6, -10, 10],\n [-2, -4, -7, -7],\n [7, -8, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 2, 10, 6, -10],\n [4, 7, -9, -2, 4],\n [-1, 0, 2, 7, 2],\n [7, -10, -1, 10, 4],\n [-5, 3, 4, -5, -5],\n [6, 7, 2, -9, 6]]\nB =\n[[-5, -4, -3, 2, -2, 7],\n [-3, 3, 4, 7, 9, -6],\n [7, -1, 0, -1, 5, -1],\n [8, -1, -5, -4, 7, 3],\n [2, 2, 6, 9, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1928", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 1, 4, -10, -1],\n [7, 0, -4, -2, 2],\n [-8, -5, 0, -4, 10],\n [7, -2, -4, -5, 2]]\nB =\n[[9, -6, 3, 0],\n [-10, 4, -10, 1],\n [3, 1, -4, 4],\n [5, 3, 3, 10],\n [5, 4, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[2, -7, -1, 3],\n [-2, 1, 7, 5],\n [-3, 10, -10, 8],\n [-2, -7, 1, 4],\n [7, 8, -2, 3],\n [5, -5, 9, -5]]\nB =\n[[-3, -7, 8, -10],\n [-5, -2, 5, 7],\n [1, -5, 4, 7],\n [-5, -2, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 8, -5, -2],\n [-9, 10, 2, 5],\n [7, -9, 3, 6],\n [-7, 3, -2, 2]]\nB =\n[[-1, 10, -10, -5, -7],\n [-3, 5, 1, 3, 8],\n [10, 10, -1, 3, 0],\n [2, 8, 1, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 10, 10, -8],\n [10, -9, -10, 6],\n [4, 10, 6, 8],\n [-5, -3, 0, -7],\n [5, 3, 3, -5],\n [-6, -1, 7, 3]]\nB =\n[[7, 0, -7, -9, 8, 4],\n [-1, -6, 3, -1, -6, 3],\n [-4, -10, 2, 8, -3, -7],\n [-6, 9, 3, -3, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, 8, 4, 5, -10, -3],\n [2, 6, -1, 3, 1, -6],\n [-1, 5, 6, 10, 2, -4],\n [8, -8, -4, -7, -8, 0],\n [-2, 9, -3, 4, 5, 6],\n [-6, -10, 5, 0, -9, 0]]\nB =\n[[-7, 5, 1, 1, 4, 4],\n [5, 6, -3, 6, -5, -8],\n [10, -7, -6, -5, 3, 9],\n [3, 9, 7, -2, 2, -4],\n [0, -2, -9, -7, -6, -5],\n [10, 9, -9, -6, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-8, -6, -5, 4, 7, 2],\n [-6, -7, 4, -3, -10, 7],\n [2, -6, 2, -7, 4, -8],\n [4, -8, -10, 1, -6, -7],\n [6, 5, 2, -3, 7, 9],\n [8, -9, 1, 1, -10, 0]]\nB =\n[[-4, 2, -8, 6],\n [-9, 2, -2, -3],\n [-7, -8, 1, 6],\n [-9, -9, 5, 1],\n [8, -3, -4, 9],\n [-3, 4, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 2, 10, -4, -6, 8],\n [2, 5, 10, -4, -4, 4],\n [5, 6, 2, 4, 4, -8],\n [-3, 3, 8, -1, 3, -8],\n [-6, 4, -1, -7, 10, -4],\n [-2, 9, 3, 7, 4, -5]]\nB =\n[[-8, -3, -1, 5, 9, -5],\n [5, 5, -1, -9, -9, 1],\n [8, -8, -8, -4, -9, -7],\n [-6, 2, -1, -4, 7, -6],\n [9, 9, 3, -10, -6, -3],\n [7, -5, -5, -7, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-271", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-4, 7, 1, 7, 4, -10],\n [-3, 7, 10, 3, 7, 6],\n [-9, 10, 9, 8, -6, 3],\n [-10, -4, 5, 5, 7, 3],\n [5, -3, 2, -8, 2, -9],\n [-9, 9, -1, -10, -3, -6]]\nB =\n[[-6, -3, -10, 4, -4],\n [-7, -4, 1, -3, -3],\n [8, -10, -6, -2, 8],\n [6, 8, 5, -6, -1],\n [-3, 9, -6, 5, -4],\n [5, -5, 0, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[5, -5, -4, -7, 5],\n [2, 6, -8, 4, -2],\n [-5, -8, -10, -10, -7],\n [5, 6, 7, -2, 2],\n [-10, -2, -10, 6, -3]]\nB =\n[[6, -10, -8, 4, -2],\n [3, 9, -5, -8, 5],\n [8, -8, 4, 5, -2],\n [-9, -7, -5, 9, -7],\n [-9, -5, -6, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 5, 1, 6],\n [-5, -3, -10, 10],\n [9, -3, 4, -4],\n [7, 4, -8, 6]]\nB =\n[[-10, 10, -5, -4],\n [0, 2, -7, 1],\n [-4, 4, 4, 7],\n [0, 0, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-10, 3, 3, -4, 10, -9],\n [4, 4, 1, 5, 6, 4],\n [10, -7, 4, -8, 0, -3],\n [-2, 1, -3, 9, 9, -5]]\nB =\n[[4, -5, 6, -7, -3, 8],\n [-3, -5, -5, 7, -9, -2],\n [8, -1, 10, 6, 4, -10],\n [9, 10, 9, 0, 3, 1],\n [3, -5, 4, -2, 6, -10],\n [2, 10, -4, -1, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[-5, 4, -4, 4, -4, 6],\n [-4, 9, 10, 2, 6, 6],\n [6, -4, -2, -3, -1, 9],\n [9, 4, 5, -2, 5, -6],\n [3, 8, 10, -7, -6, 10],\n [8, 4, 1, -10, -4, -5]]\nB =\n[[-9, 5, -6, -3, 4, 3],\n [6, -6, -9, -8, -1, 8],\n [-9, 6, 6, 2, 2, -2],\n [3, 7, 7, -10, 4, 2],\n [-3, 9, -7, -1, 6, -10],\n [-8, -6, -6, 10, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-9, 2, -2, 4, -9, 0],\n [-3, 2, -4, 10, -6, 8],\n [-8, 0, -7, 8, -8, 6],\n [-2, -7, -9, 1, 9, -9]]\nB =\n[[3, 5, 2, 0],\n [-7, 6, -1, 6],\n [0, 7, 7, -9],\n [6, -1, 3, -9],\n [-2, 0, 3, 2],\n [5, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-6, -1, 0, 7, -10],\n [9, -5, -3, 2, 10],\n [3, 0, 8, -7, 6],\n [7, 7, -2, 2, -4]]\nB =\n[[-8, 8, 9, 10, -8],\n [-10, 10, -10, 3, 5],\n [0, -2, 0, -7, 1],\n [-9, -5, -1, -9, 6],\n [5, 2, 2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, -7, 6, -9, -5, 3],\n [8, -9, 1, 1, -1, -6],\n [-3, 5, 9, -10, -8, -1],\n [-3, 3, -1, -10, 7, 8],\n [5, -8, 9, 5, 5, -1]]\nB =\n[[7, 6, -9, 8, 7],\n [6, -10, 0, 8, 10],\n [2, 2, -8, -7, 4],\n [-3, 10, -9, 10, 2],\n [-3, -5, -10, 1, 7],\n [1, 7, -1, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -7, -8, -5, 1, -4],\n [2, 5, 9, -9, 3, 10],\n [7, 8, -2, -8, 1, 3],\n [-5, 3, -7, -7, -10, 7]]\nB =\n[[7, 6, 2, 1],\n [8, -5, -9, 8],\n [3, 8, 2, 10],\n [-1, -8, -6, 2],\n [-1, -3, 4, 1],\n [-8, 5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1016", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 9, -9, -2, -7],\n [-4, 4, 1, 9, 0, 10],\n [3, 5, 4, -2, 6, -6],\n [-1, -4, 6, 4, 1, -10],\n [9, -1, 4, -7, 7, -1],\n [7, -4, -2, -7, 0, -6]]\nB =\n[[6, -7, -5, 7],\n [-3, -6, 1, -5],\n [5, -1, 10, 3],\n [-5, 8, -1, 8],\n [6, 10, 3, -10],\n [8, 0, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -8, 5, 0, 3, 10],\n [-7, 10, -7, -4, -7, 10],\n [5, -8, 10, -3, -10, -9],\n [1, -9, 6, -4, 5, -5]]\nB =\n[[10, 7, -2, -8, 4, -9],\n [8, 1, -9, -10, -1, 4],\n [7, 4, 8, -4, 3, -9],\n [-4, 5, 7, -10, 9, -8],\n [9, -9, -6, -7, 7, 6],\n [-6, 5, 9, 10, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 5, 8, 4, -8],\n [-1, -4, -9, 3, 6],\n [-5, -3, -6, 8, 1],\n [5, 9, 9, -9, -6]]\nB =\n[[-6, -8, 7, -6],\n [-2, -5, -6, 0],\n [9, -1, -7, 7],\n [3, 3, 1, 6],\n [8, 10, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 8, 5, -8, 9, -10],\n [0, -2, 7, -9, 3, 1],\n [5, -9, -7, -10, -7, -8],\n [10, -1, -8, -1, -3, 6]]\nB =\n[[-9, -3, 4, -6, 5],\n [-10, -10, 4, -5, 8],\n [5, 0, -4, 4, -7],\n [-4, -2, -7, 0, -8],\n [8, 1, -9, -7, 2],\n [-9, 7, 8, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "431", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 2, -3, 0],\n [-9, 0, -8, -9],\n [1, 1, 3, -2],\n [3, 0, -8, 4],\n [4, -4, 3, -3]]\nB =\n[[-7, -10, -1, 9, 1, -4],\n [-1, 6, -3, -1, -6, 8],\n [10, 9, 4, 0, 7, -10],\n [-10, 10, 0, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-331", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 1, -9, 7, 3],\n [5, 2, 9, -9, -7],\n [6, 2, -10, 4, 3],\n [-2, 10, -7, -5, 10]]\nB =\n[[6, 2, -10, -5, -4],\n [6, 10, -2, -7, -9],\n [-5, -10, -8, 7, -10],\n [-1, 7, -3, 2, 7],\n [-3, 10, 10, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -2, -2, -6, -7, -4],\n [8, -10, -9, 4, -1, 7],\n [-8, 9, -2, 1, 4, 2],\n [-1, -5, -4, -3, 8, 6]]\nB =\n[[-7, 9, 8, 0, 6],\n [-10, 2, 10, -10, 9],\n [-1, -7, 9, -1, 3],\n [1, -9, -3, -9, 8],\n [2, 8, 5, -10, 2],\n [-7, 0, 9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-5, -5, -9, 7],\n [9, 7, -1, 1],\n [-3, -8, -4, 10],\n [4, 6, -3, 9],\n [8, -4, -10, 10]]\nB =\n[[-4, 6, 6, -2, -7, -4],\n [3, 7, -5, -5, -5, 6],\n [-7, 9, 0, -3, -10, -7],\n [3, 4, -6, 6, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[10, 4, 7, -4],\n [-5, 4, -5, -9],\n [-9, 2, 10, -10],\n [7, 2, 0, 9]]\nB =\n[[0, 2, 0, -4, 4, -7],\n [3, 1, 1, 5, 3, -5],\n [-3, -8, 9, -4, 5, -5],\n [-4, -8, -9, -8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 7, -3, -9, 3, -9],\n [10, -9, 5, 10, 5, -7],\n [-5, -4, -10, -8, 7, -4],\n [-1, 3, -2, 4, -10, -2],\n [-7, -5, 4, 7, 3, -3]]\nB =\n[[7, 6, 5, -6, 9],\n [4, 3, 10, 6, 9],\n [-5, -1, 8, 0, 3],\n [-8, -10, -10, 3, -6],\n [-7, -7, -7, 2, -8],\n [-9, -1, 7, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-7, 7, 0, -5, -7],\n [6, -3, -2, -8, -5],\n [-9, 7, -6, -2, 3],\n [-1, 7, 7, -9, 9]]\nB =\n[[3, -10, -9, 1],\n [-10, -7, 2, -7],\n [-7, -9, 9, -3],\n [10, -9, 5, -10],\n [-3, 9, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -3, -3, 7, -7],\n [-10, 7, -7, -3, 4],\n [-9, -8, 8, -2, 1],\n [8, 8, 2, -6, -5],\n [6, -8, 5, 8, -3]]\nB =\n[[7, -10, -6, 2],\n [-10, 9, -6, -4],\n [9, -6, 1, -2],\n [-1, -5, 6, -6],\n [-3, 4, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, 0, 3, 5, 2],\n [0, 4, 3, 2, -6, -10],\n [0, 8, 10, 2, 3, 0],\n [4, 9, -6, 1, -3, 3]]\nB =\n[[-1, 0, -10, -7],\n [8, 0, 1, 5],\n [-1, -9, 6, -1],\n [3, 3, -5, -6],\n [9, -3, -3, -7],\n [3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, -3, -5, 5],\n [10, 10, 3, -4],\n [7, 2, -4, -9],\n [-3, -5, -3, 8],\n [-10, 1, -10, 6]]\nB =\n[[2, 1, 1, -9, -9, 6],\n [5, 6, 10, 0, 3, 10],\n [-2, 8, -1, 9, 6, -8],\n [3, -1, -9, -2, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 8, 3],\n [8, -9, 2, -4],\n [3, 7, 5, -7],\n [8, 2, 6, -6],\n [-8, 5, -10, 8],\n [6, 5, 4, 6]]\nB =\n[[-6, -8, -6, -8],\n [4, -7, 5, 10],\n [-3, 0, 1, -10],\n [-8, 9, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-740", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -10, 3, 8],\n [-9, 4, 7, -6],\n [-5, -1, 5, 0],\n [-6, 9, -10, -1],\n [8, -3, -2, 9],\n [-5, 1, 4, -9]]\nB =\n[[-5, 8, 2, 7, 3],\n [9, 9, -9, 1, -1],\n [-4, -5, -1, 0, -1],\n [-10, 3, 7, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -6, -8, 2, 9],\n [-7, 8, 5, -5, -7],\n [-2, 2, 2, 8, 4],\n [9, 7, 1, 1, -5],\n [-5, 0, 6, -5, 2]]\nB =\n[[-6, -1, -1, 0, 1],\n [6, -3, 0, -5, 6],\n [1, -9, 2, -10, 1],\n [1, -3, 1, 7, 2],\n [-7, -6, 5, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 8, -3, 5, 1, -5],\n [-7, 6, -1, -1, 3, 9],\n [-1, 9, -10, 3, -7, -1],\n [2, -9, 2, 7, -2, 8],\n [4, -6, 3, 5, -8, -2]]\nB =\n[[-8, -2, -1, -10, -5],\n [-3, 5, 7, -2, 6],\n [-6, 5, -2, 1, -3],\n [3, 9, 6, -4, 6],\n [-4, -6, 1, 10, -7],\n [-7, 6, -3, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1492", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, 1, -8, -2],\n [10, 5, -2, 2, 4],\n [9, -1, -6, 4, -10],\n [9, 3, 5, 10, 3]]\nB =\n[[5, 9, -2, -2],\n [-4, 10, -5, -7],\n [0, 4, 2, -5],\n [-5, 1, 2, -2],\n [2, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[0, -6, -9, -6, 6],\n [-8, 4, 8, -9, 0],\n [-2, 4, 6, 5, 3],\n [-2, 6, 0, 7, -7]]\nB =\n[[-6, -2, -7, -1, -6, -2],\n [9, -3, 7, -5, 3, 9],\n [9, 10, 9, 2, -1, -3],\n [-3, -2, -9, 2, 9, 6],\n [9, -9, 8, 7, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, 4, -1, 10, -4],\n [6, -2, -10, 0, 9],\n [6, -10, -5, 6, -2],\n [-7, -9, -8, -3, -7],\n [-6, 1, 9, -6, -2]]\nB =\n[[6, -4, -5, 8, -6],\n [2, -3, 4, 7, -8],\n [2, -1, -7, 4, 4],\n [9, -3, 3, 4, -10],\n [-6, -6, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 7, 3, -1, 0, -9],\n [5, 1, -4, 5, 3, 9],\n [-6, -9, 6, 1, 7, 8],\n [5, -7, 6, -7, 1, 2],\n [-3, 5, -10, 10, 2, -9],\n [-3, -1, 4, 0, 4, -3]]\nB =\n[[0, -3, 8, -6],\n [-9, 0, 9, 10],\n [1, 1, -10, -1],\n [-9, 2, -10, -3],\n [0, 9, -8, -10],\n [4, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1872", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[1, -9, -5, -5],\n [1, -1, 8, -2],\n [10, -7, 1, 0],\n [-5, 1, 0, 6],\n [4, 0, 4, -4],\n [1, -6, 8, 3]]\nB =\n[[10, -1, -9, -8, 10],\n [9, 3, 10, -6, 10],\n [7, -9, 7, -3, -9],\n [-10, 7, 3, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -2, 5, -5],\n [-7, 8, 2, 4],\n [10, -5, 0, -3],\n [-1, -9, 10, 4]]\nB =\n[[0, 2, -6, -5, -7, -3],\n [10, -9, 2, -7, 4, 3],\n [3, -1, 1, 9, -8, 1],\n [5, 9, -8, -1, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[0, -4, 4, 6, 5, 2],\n [-9, 7, 9, 9, 2, 4],\n [-9, 9, 3, 8, -9, 4],\n [7, 5, 2, 1, 0, 5],\n [-1, 8, 10, 2, 2, 1]]\nB =\n[[4, -5, -10, -9],\n [6, 2, 2, -9],\n [-6, 0, 6, -3],\n [-10, 0, 5, -3],\n [-1, 2, -2, -10],\n [-7, 3, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 7, 2, -1, -3],\n [-7, -6, -8, -4, -4],\n [9, 10, 7, 9, -4],\n [-7, 8, 1, 1, 2],\n [-2, -9, 6, 8, -4],\n [-5, 0, -2, -6, 7]]\nB =\n[[3, -5, -10, 10, 9, -6],\n [-6, -3, -3, 4, -9, -9],\n [5, 0, 5, 0, 7, -1],\n [-1, 7, -1, -6, -6, -6],\n [7, -7, -7, -7, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2032", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, 3, -2, 6, 3],\n [-2, -8, -5, -6, -8, -5],\n [-6, 7, 3, 9, 2, -7],\n [-9, 10, 8, -4, 3, -3],\n [-10, 4, -7, -2, -1, 3]]\nB =\n[[-2, 3, -8, 10],\n [5, 2, -8, 6],\n [4, 7, 9, 3],\n [-9, 9, 1, 8],\n [7, 3, -1, -4],\n [1, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 7, -2, 1],\n [-10, -10, 8, 5],\n [1, 4, -4, 6],\n [7, 7, -2, 0]]\nB =\n[[-2, -1, 5, -7],\n [-8, 6, 1, 9],\n [6, -1, 10, 2],\n [-3, 10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "859", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -10, 6],\n [-4, -1, 6, -1],\n [-4, 0, -8, -9],\n [-8, -1, -8, 3],\n [-7, 2, -9, 6],\n [6, 8, -5, -5]]\nB =\n[[6, -4, 5, 1, 7],\n [-4, -2, -3, 6, -2],\n [-6, -4, 3, -3, 7],\n [-4, 1, 1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 5, 0, 10],\n [-9, -3, -1, 10],\n [-10, 5, 10, -7],\n [0, 5, -10, 9]]\nB =\n[[10, -10, -5, 3],\n [-5, -8, -10, -7],\n [4, -10, -3, -4],\n [0, -7, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 3, 3, 7],\n [-4, -4, 7, -9],\n [-6, 2, -4, -10],\n [-5, -2, 9, -6],\n [-10, -1, 5, -5]]\nB =\n[[5, 9, -3, 2, -5, -10],\n [10, 7, -1, 5, 6, 3],\n [2, 3, -3, 9, 9, -2],\n [-2, -1, -2, 4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -1, -4],\n [-8, 0, -6, 8],\n [3, -3, 2, -5],\n [-10, 5, 1, 0]]\nB =\n[[-6, -9, 10, -7, 6, -3],\n [4, -3, 8, -7, 9, 9],\n [-10, 4, -7, 2, 10, -1],\n [-1, -7, 8, -3, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 1, -5, 7, -4],\n [-6, 2, 1, 1, 6],\n [9, 3, -4, -7, -8],\n [5, 2, 3, 6, 10],\n [-6, -9, -6, -3, -4],\n [-7, 1, 5, -7, 4]]\nB =\n[[2, -4, 6, 2, -5, 6],\n [10, -9, 7, 0, -8, -3],\n [4, -1, -3, 9, 10, 4],\n [3, -8, 8, -4, -9, -1],\n [-3, -4, -8, -3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 3, 0, 9],\n [9, 2, -10, -8],\n [10, 8, 6, -8],\n [-4, 9, 9, 9],\n [-2, 4, 9, 0],\n [-4, 1, -6, -10]]\nB =\n[[1, 1, 9, -2],\n [1, -6, -6, 9],\n [9, -5, -7, 4],\n [-3, -7, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, 2, -2, -8],\n [6, 10, -5, -2, 7],\n [-10, -2, 9, -3, 8],\n [-9, 6, 0, -7, 5],\n [2, 10, -1, 5, -3]]\nB =\n[[-2, 3, -8, -9],\n [9, -2, 8, -4],\n [2, -6, 10, -7],\n [-4, -7, -1, -10],\n [8, -3, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "798", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, -10, 10, 9, -5],\n [1, 9, 9, -4, 1, 1],\n [8, 5, -6, -2, -8, 6],\n [4, 7, -2, 9, -7, 7],\n [4, -10, 0, 3, 9, 8],\n [-8, -1, 5, -6, -6, 9]]\nB =\n[[8, -3, -7, -5, 1],\n [5, 6, -6, -3, -5],\n [-9, -6, 6, 2, -2],\n [10, 3, 4, 9, -2],\n [9, -7, 10, -2, -9],\n [8, -1, -8, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2524", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, -1, 6, 6, -3],\n [-4, 7, 1, -2, 5, -2],\n [1, -2, 7, 4, 0, -6],\n [-2, 4, 2, 1, 3, -4]]\nB =\n[[5, 10, -2, -6, -4, 7],\n [-3, -3, -4, 6, 10, -9],\n [5, -10, 3, 0, -4, 4],\n [7, -1, -4, 6, 3, -6],\n [4, -4, -6, -7, -2, 4],\n [5, -6, -1, 7, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "789", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[9, -8, 7, 0, 9, -5],\n [1, -2, 8, 7, 3, -4],\n [-3, -3, 2, 3, 0, 10],\n [4, 4, -1, -9, -2, 5],\n [-3, -4, 6, 10, -5, 1]]\nB =\n[[7, 8, 4, -5, 3, -10],\n [5, -5, 1, 6, 5, 6],\n [-8, -6, -9, 1, -7, 4],\n [-6, -9, -2, -10, 2, 6],\n [8, 8, 9, 3, 6, -5],\n [-2, 0, -9, -8, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, -8, -2, 0, 4],\n [8, -3, -10, 7, -3, 6],\n [-2, 10, 4, 10, -10, -7],\n [10, -10, -9, -3, 4, -1],\n [3, 2, 2, -1, 4, -3],\n [-9, 2, 7, 7, 7, -10]]\nB =\n[[5, 5, 6, 5, 3],\n [-6, -8, -6, 6, -1],\n [7, 1, 7, 7, 1],\n [1, 8, 0, 6, 7],\n [10, 10, -4, 1, -10],\n [8, -2, -2, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2016", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[3, -1, -10, 8],\n [2, -7, -10, -8],\n [-3, 0, 5, 3],\n [-2, 7, -5, -8],\n [2, -3, 2, -10],\n [9, -8, 5, -3]]\nB =\n[[-1, 9, 8, -2, 9, -9],\n [10, -7, -1, 5, -3, -9],\n [7, -8, -10, -9, 7, -4],\n [0, 3, -7, 0, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[-3, -2, 2, 9, 7, -6],\n [8, 10, -8, 8, -10, -7],\n [6, 7, 3, -1, -4, -4],\n [-8, 1, -6, 0, -4, 5],\n [10, 10, -1, 5, -3, 1]]\nB =\n[[7, -3, 1, -7, 7, -10],\n [-2, 8, 9, 2, -5, 6],\n [3, 4, -3, -8, -10, 2],\n [4, -6, -4, 1, -3, 3],\n [-1, -7, -5, 3, -10, 5],\n [0, -7, -4, 2, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-1, 3, -10, -6],\n [6, -5, 9, 1],\n [1, 2, -5, 8],\n [6, -7, -6, 4],\n [-7, -7, -2, 7],\n [-3, -8, 1, -1]]\nB =\n[[-9, 9, -2, 5, 0],\n [-6, -6, -4, 1, -4],\n [4, -10, -4, -4, -9],\n [9, -3, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -7, -3, 6],\n [7, 1, 1, -6],\n [1, 9, 7, -8],\n [6, 5, -7, -4],\n [5, -10, -5, -1],\n [-3, -4, -9, 5]]\nB =\n[[-7, -6, 7, -4, -8, -1],\n [-10, -7, -7, 3, 2, 10],\n [7, 3, 9, 7, 2, 8],\n [2, -4, -9, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2177", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, 6, 0, -6],\n [-4, -3, -8, -7, 1],\n [5, 8, 9, -9, 2],\n [0, 6, -3, -7, -6],\n [-9, -1, 3, -2, -10],\n [-7, -6, 2, -8, -10]]\nB =\n[[10, 5, 6, 1, -8],\n [1, 4, -5, -8, 4],\n [-7, 9, -3, 9, -4],\n [10, 7, 7, 8, 2],\n [0, -3, -5, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2082", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -6, 3, 9],\n [4, 9, -9, -4, -4],\n [-4, -8, 4, -5, -10],\n [6, 7, -4, -2, 7]]\nB =\n[[2, 8, -6, 4],\n [-10, 9, 4, 1],\n [6, 7, 5, 7],\n [-8, 9, 2, -6],\n [0, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-245", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 1, 1, -10, 4],\n [-2, 3, 8, -9, 9],\n [5, -4, -5, -8, -2],\n [2, -5, 4, 2, 8],\n [-4, 4, 2, -4, -4],\n [2, 8, 2, 6, 3]]\nB =\n[[-5, 10, 6, 0],\n [-9, 9, 8, 9],\n [5, 8, -6, -5],\n [8, 2, 1, -10],\n [-10, 3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1458", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 1, -5, -3, 6, 10],\n [7, -2, 0, -4, 5, -1],\n [10, 3, -3, -2, 6, -3],\n [-6, -3, 1, 3, -4, 6],\n [-10, 6, -6, -1, -6, 2]]\nB =\n[[-9, -3, 5, -1, 9],\n [9, 2, -7, 4, 2],\n [-10, -5, -7, -10, 9],\n [-9, 9, 7, 8, 6],\n [9, 1, -7, 6, 7],\n [9, 5, 10, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 2, -1, 9],\n [-1, -9, -4, -3],\n [-6, -2, -4, -7],\n [3, -1, -1, 8],\n [-3, -3, 4, 6]]\nB =\n[[8, -5, -9, -2],\n [-2, 9, 6, 9],\n [5, 3, -1, -2],\n [8, 9, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -3, 7, -6],\n [-5, -10, 8, 4],\n [1, 2, -7, -6],\n [8, 3, -3, -5],\n [-10, 1, -9, 0]]\nB =\n[[1, -2, 7, 3],\n [-3, 4, 2, 8],\n [-5, 2, 4, -5],\n [-5, 5, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 4, -2, -5, 7],\n [4, 6, -9, 1, 3, 0],\n [3, -4, -2, 2, 5, 10],\n [-5, 9, 4, 5, -5, 2],\n [10, -2, -9, 10, 7, 3],\n [-10, 8, 7, -5, 5, 4]]\nB =\n[[9, 6, -4, 10, 9],\n [7, -5, 8, -5, -10],\n [8, 5, -8, -5, 5],\n [4, 9, 7, 9, 10],\n [-5, 9, 0, 10, 3],\n [-4, -9, -4, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, -2, -2, 1, -1],\n [-2, 5, -6, 1, -8, 3],\n [-10, -7, 10, 10, -9, 0],\n [6, 7, 5, 6, 6, -5],\n [3, -8, 7, -1, -1, 3]]\nB =\n[[-2, 2, -7, -3],\n [4, 5, -2, -10],\n [2, -1, 7, 10],\n [6, 4, -6, -6],\n [5, -10, 10, -7],\n [-4, 7, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -10, -5, -1],\n [3, 9, -10, 4],\n [-3, -1, 1, 7],\n [7, -8, 10, -8],\n [10, -6, 10, -8],\n [8, 9, 4, -9]]\nB =\n[[0, 0, 2, -8],\n [10, 4, 7, 8],\n [3, -3, -1, 7],\n [0, -5, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1424", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -5, -1, 10],\n [-5, -7, -10, 4],\n [4, -6, 10, -10],\n [10, -4, -1, -5],\n [-10, -8, -10, 3]]\nB =\n[[4, 9, 10, 4],\n [-9, 9, -7, 9],\n [2, 0, -5, -9],\n [-4, 9, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-1, -1, 5, -4],\n [-6, 8, -1, 6],\n [-2, 0, 7, -9],\n [-8, 8, -10, 2],\n [8, 10, 8, -10],\n [1, -10, -4, 6]]\nB =\n[[8, -6, 4, 6, 3],\n [-7, 9, -6, 1, 6],\n [9, -1, 6, -1, 4],\n [5, 6, 1, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 5, -7, -1, -2, 0],\n [3, -1, 6, -5, 7, -6],\n [7, 6, 5, -4, 2, 8],\n [-4, -8, 2, 9, -5, 10],\n [-5, -8, 4, -10, -4, -1],\n [-10, 1, 6, 2, 4, -10]]\nB =\n[[10, -10, -6, 3, -4],\n [-4, -10, 9, 1, -9],\n [-7, 2, 6, -1, 8],\n [-10, 6, 8, -2, 7],\n [2, -2, -5, 9, -2],\n [3, 2, -5, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 10, 2, -2, -8],\n [-7, -1, -3, 5, -8],\n [1, 5, -5, -9, 2],\n [6, 9, 10, -5, 7],\n [-9, -9, -5, -10, -2]]\nB =\n[[-9, 10, 8, 0, 5, -7],\n [-8, 3, -10, -8, -4, 2],\n [8, -7, 2, -3, 9, 9],\n [7, -2, -1, -6, -3, -2],\n [1, -2, 2, -5, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1855", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 3, -8, -5, 5, 2],\n [-8, -1, -5, 1, -1, -6],\n [-1, 3, -1, 9, 10, 5],\n [-9, -8, -8, 9, 1, -7],\n [-1, 1, -9, -2, -8, 6],\n [-10, -7, -4, -10, 4, 1]]\nB =\n[[2, 2, 7, -4],\n [2, -5, -3, -5],\n [2, 9, -7, 8],\n [0, 8, -1, -4],\n [-2, 0, 3, -9],\n [-10, 9, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 10, -2, 5, -4],\n [0, -5, 1, 7, -5],\n [8, -5, 3, -10, -4],\n [-6, 7, 9, -4, 8],\n [-5, -1, 1, 6, -2],\n [2, -10, 10, -3, -9]]\nB =\n[[0, -9, 7, -10],\n [-4, -9, -6, -2],\n [-1, 8, 8, 6],\n [2, 2, 9, 7],\n [-5, 4, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1366", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -4, -7, -6],\n [-9, 0, -1, -2],\n [-1, -7, -2, -1],\n [0, -10, 8, 5]]\nB =\n[[1, 0, 9, -1],\n [-4, 9, -3, 3],\n [-8, -6, -1, -10],\n [-4, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "705", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -7, -1, 9],\n [-1, -2, -4, -1, 5],\n [1, -6, 3, 1, 7],\n [9, -6, 2, 9, -2],\n [7, -10, 4, 2, 6]]\nB =\n[[3, 3, -5, 8, 2, 7],\n [0, -8, 3, 7, 5, 1],\n [-6, 8, -6, -4, -7, 5],\n [-6, 10, -3, 7, 8, 4],\n [7, -10, -9, 5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 3, 7, 3],\n [-10, 0, 9, 9],\n [-8, -4, 5, 7],\n [3, -6, -6, -3]]\nB =\n[[-2, 1, 6, -9, 3, 2],\n [-5, -7, 4, -6, 9, -7],\n [-5, 1, 2, -2, 0, -6],\n [-3, 6, 4, 8, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, 8, 0, -5],\n [10, 7, 4, -9, -6],\n [8, -8, 0, -9, 6],\n [5, -1, 0, -10, -6],\n [7, -1, 9, -9, 8],\n [-4, 6, -6, -8, -1]]\nB =\n[[8, -5, -5, 1, 6],\n [6, -7, -8, 6, 6],\n [5, -8, -5, -3, -7],\n [8, -4, -4, -4, 6],\n [8, -10, -3, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 9, 0, -8],\n [7, -1, -3, 2],\n [-9, 10, 9, 4],\n [3, 1, -9, 1],\n [4, 1, -9, 10],\n [-9, -3, -5, -7]]\nB =\n[[1, 6, -2, 10],\n [0, -2, 0, 8],\n [-7, -1, -6, 3],\n [-9, 9, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, -2, -8, 9],\n [9, 0, 0, 7, 4],\n [-8, 9, 1, -5, 1],\n [10, -10, 7, 7, 7],\n [-2, -3, -10, -5, 10]]\nB =\n[[3, 7, -10, 5],\n [5, 4, -6, -4],\n [-2, -9, 4, -8],\n [2, -7, -8, -2],\n [-5, 10, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 6, -8, 5, 5, -10],\n [4, -2, -8, 10, -7, -1],\n [-1, 7, -7, 4, -10, -3],\n [-3, -3, -9, -6, -7, 6],\n [-6, -9, -7, 10, 9, 1]]\nB =\n[[-5, 3, 7, -6, 7],\n [-8, 2, -6, -3, -9],\n [1, 4, -3, -10, 2],\n [4, 6, -4, -2, -7],\n [-1, 3, 0, 5, -5],\n [8, 0, 9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -6, 8, 6, 7, -3],\n [-4, -7, 0, 4, 6, 8],\n [3, 4, -5, -6, -2, 5],\n [-4, 1, 10, -7, -5, 3],\n [-4, 5, 10, 0, -2, 6],\n [-3, -10, 1, -9, 2, 8]]\nB =\n[[2, 9, -7, 6, 9, -7],\n [-5, 2, -10, -7, -9, 10],\n [-8, 8, 3, 2, -3, -10],\n [-10, 7, 4, 5, -10, -10],\n [-5, -2, 7, -3, -10, 6],\n [-5, -6, 10, 0, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2875", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, -1, 3],\n [-5, -2, -10, -1],\n [-8, -5, -4, -2],\n [-7, -5, 10, -7]]\nB =\n[[-4, 7, -8, -9, -2],\n [5, 1, -5, 10, 1],\n [-1, 2, 8, -6, 2],\n [-8, -10, -10, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -10, 2, -3],\n [-10, -8, -5, 1],\n [3, 2, -8, -10],\n [-6, 5, 5, 3]]\nB =\n[[6, 0, -6, -7],\n [4, -9, -2, -2],\n [-5, -4, 4, 1],\n [3, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, 1, 1, -9],\n [-8, 10, -8, 4, 3],\n [8, -9, 1, 1, 0],\n [-2, 7, 8, 7, -2]]\nB =\n[[-9, 9, 4, 6],\n [8, 3, 9, 2],\n [2, -2, 10, -10],\n [-9, 1, 9, 1],\n [2, -9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -5, -3, 4],\n [1, -8, 0, -8],\n [5, 7, 6, -3],\n [2, 0, 4, -6]]\nB =\n[[-1, 8, 7, -3, 4, 0],\n [-9, 5, 9, 5, 10, -9],\n [7, 4, 0, -9, -2, 8],\n [2, -8, -10, 6, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, 8, -7, -3],\n [1, -1, 7, -6, 0],\n [-10, 10, 1, -6, -3],\n [-9, 4, -9, -8, 2],\n [1, 5, -7, 6, 10],\n [4, -7, 2, 7, 9]]\nB =\n[[0, 6, 4, -3, 3],\n [5, 8, -1, -7, -9],\n [-5, -2, 8, 3, -10],\n [9, -8, -1, -2, -9],\n [3, -5, -8, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -1, -1, 2, -2],\n [2, 0, -6, 2, 5],\n [-9, -1, -3, 8, 8],\n [3, 9, -7, 4, -1],\n [-10, 5, 2, 5, -3],\n [-4, -3, 7, -8, -8]]\nB =\n[[4, 0, -6, 8, 1],\n [6, 3, 7, -8, 1],\n [10, 10, -7, -4, -5],\n [0, -4, 5, -2, -3],\n [-4, -5, -1, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -6, 4, 5, 5, 5],\n [-5, 2, 5, -2, 10, 6],\n [1, 0, 4, -6, -5, 7],\n [7, 3, 8, -7, 3, 5],\n [-8, 9, 10, -2, 0, 10]]\nB =\n[[8, 1, 2, 7],\n [-5, 8, 4, -5],\n [-4, 3, -9, -5],\n [4, 10, 8, 1],\n [-3, 0, 5, 9],\n [7, 9, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 7, -2, 4, 10, -7],\n [-4, 1, -6, 5, 1, 0],\n [0, -1, -4, 10, -10, 3],\n [1, 1, 10, -5, -1, 4],\n [10, -8, -8, 9, -2, -9]]\nB =\n[[-6, 3, -7, 9],\n [5, 8, -8, 3],\n [-2, 5, 4, 0],\n [-5, 2, 5, -9],\n [-6, 4, 4, -9],\n [-2, -6, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "843", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 8, 4, -1],\n [8, 5, -1, -10],\n [7, 9, 6, -2],\n [4, 8, -3, -10],\n [5, 8, -7, -5],\n [-9, 1, 9, -4]]\nB =\n[[-3, -4, -6, 9, 6, 4],\n [-6, -2, 3, -5, -9, -1],\n [-9, 8, -1, 3, -9, -9],\n [-10, -6, 6, 7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-546", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -10, 8, -8, -3],\n [-2, 1, 6, -9, -8],\n [2, 1, 4, -1, -1],\n [9, -7, 10, -1, -9],\n [-9, -8, -8, -9, -5]]\nB =\n[[3, -4, 8, 4],\n [7, -7, -5, -4],\n [-10, 5, 7, -9],\n [-9, -9, 6, 2],\n [-8, 2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-10, -10, 10, 8, -1],\n [-4, 7, 3, -1, 0],\n [-7, -6, -9, 6, 7],\n [3, -10, 6, -4, -10]]\nB =\n[[-8, 0, 2, 5],\n [-9, -10, -2, 5],\n [-2, -9, -6, -9],\n [-1, 2, -4, -8],\n [-8, 9, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -7, -9, 6],\n [0, -4, 2, 8],\n [-4, 7, -3, 1],\n [-5, -2, -4, 10],\n [5, 10, -1, 9]]\nB =\n[[10, 6, 0, -3, 7],\n [-8, 3, -6, 3, -10],\n [-1, -6, 5, 5, -5],\n [9, 6, 8, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1594", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, -5, 6, 9, -5, 0],\n [-8, -6, -8, 7, 1, 2],\n [7, 2, 5, 1, -4, -6],\n [7, -1, -5, 5, -8, -9],\n [-8, -2, 2, -4, -4, -8]]\nB =\n[[2, -1, 9, -1],\n [9, -1, -7, -9],\n [7, 5, -1, -7],\n [8, 1, -9, 6],\n [3, 5, -7, 2],\n [-3, 1, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[4, 6, -5, -1, -1],\n [1, -5, -6, 7, -10],\n [4, 2, 5, -4, -7],\n [-9, -7, 3, 9, -5],\n [10, -4, 2, 10, 10],\n [-1, 0, -1, 1, 10]]\nB =\n[[-3, -5, -4, 3, -5, 0],\n [-4, -3, 7, 1, -2, 2],\n [-6, 10, 4, -10, 10, -4],\n [5, 0, 5, -2, 4, 4],\n [-8, 2, -6, -5, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -8, 2, -8, 7],\n [4, -4, 10, -1, -1],\n [-2, 7, 2, -2, -3],\n [-9, 10, 2, 6, -4],\n [-4, -1, -9, -10, 5],\n [5, 5, 10, 10, 7]]\nB =\n[[6, 0, -4, -5],\n [7, -8, -5, 3],\n [10, 7, 10, -9],\n [-10, -7, 10, -4],\n [-4, -8, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 10, 1, -9],\n [7, -3, -7, -3],\n [-3, -5, 4, 8],\n [-8, -9, -7, 1],\n [-8, 2, 7, -10]]\nB =\n[[-8, -9, 0, 9],\n [1, 10, 6, 5],\n [-10, 6, 6, -10],\n [3, -6, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -4, 3, 1, -8, -6],\n [5, -1, -2, 5, 9, 6],\n [-8, -6, 3, 2, 5, 4],\n [-6, -8, -10, -9, 2, -3],\n [7, -6, 10, 8, -6, 4]]\nB =\n[[8, -2, -8, -8],\n [-6, -8, 2, -5],\n [-8, -7, 2, -3],\n [3, -1, -10, 1],\n [0, -9, 3, 9],\n [3, -4, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -9, 9, 9],\n [1, -3, -6, 3],\n [-5, 7, -3, -6],\n [5, 1, 7, 5]]\nB =\n[[-5, -3, 3, -5, -9],\n [-5, -2, -2, 10, -9],\n [-10, -8, 5, 4, -3],\n [-9, -5, 2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-465", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-8, -3, -7, 1],\n [-8, 5, -8, 8],\n [1, 8, -5, -3],\n [-2, 2, 3, -4],\n [-2, 8, -8, 10]]\nB =\n[[-2, 5, -4, 5],\n [8, 10, 9, 10],\n [3, 5, -8, -10],\n [-7, 8, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, -10, 7, 2, 5],\n [9, 6, 0, -7, -9, 0],\n [-9, -7, 3, 4, 0, -5],\n [-1, -2, -3, 7, 10, -3],\n [-6, 4, 0, 6, -5, -5]]\nB =\n[[2, 8, -6, 1, 8, -3],\n [-6, -3, 10, -3, 2, 0],\n [7, 7, 0, 0, 3, 2],\n [3, 7, 9, 5, 2, -9],\n [-1, 8, 7, -7, 0, -4],\n [-8, -8, -1, 0, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1665", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 5, 3, 5, -7],\n [2, -3, -4, 6, 10],\n [-2, 5, -1, -3, 3],\n [8, 6, 1, -1, 8],\n [10, -1, 1, 0, 2]]\nB =\n[[7, 0, -5, 2, -4],\n [-6, -6, 2, 10, 5],\n [-10, -1, -4, -6, -7],\n [5, 1, 2, 9, -7],\n [-3, 9, -2, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 5, 2, 6, 7],\n [-8, 10, 3, -7, 7, 3],\n [-7, -1, -5, -2, 7, -5],\n [-6, 3, -10, 1, -4, -3]]\nB =\n[[-8, -1, 5, -4, -1, -4],\n [-9, -8, -8, -1, -3, 2],\n [7, -2, -9, -10, -2, -1],\n [-1, 6, 1, 7, -7, 8],\n [-9, -3, 8, 3, 7, 5],\n [4, -5, -10, 2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, 2, -5],\n [1, 10, 3, 7],\n [-3, -6, 0, -10],\n [0, 3, 7, 0],\n [7, -2, 6, 9],\n [7, 1, 1, -4]]\nB =\n[[-6, 10, -2, 5],\n [-8, -2, -8, -2],\n [-3, 6, -5, 1],\n [0, 0, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -1, 4, -8, 2],\n [5, -6, 5, 9, -8],\n [3, 7, -5, 4, 5],\n [-10, -8, -2, -10, 2]]\nB =\n[[5, 0, 7, -8],\n [9, 4, -8, -4],\n [8, -7, 6, 7],\n [-2, 1, 5, -8],\n [3, 3, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1395", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 2, 2, -6, 4, 8],\n [-8, 7, -7, 2, -5, 7],\n [-7, 5, 1, -10, -5, 7],\n [1, 7, 4, -9, 5, 8],\n [-5, -3, -6, 4, 8, -6]]\nB =\n[[4, -7, -2, -2, 2],\n [0, -1, -9, 0, 0],\n [-5, -3, -2, 10, 6],\n [-1, 10, 0, 5, 7],\n [7, -8, -8, 10, -3],\n [-1, 10, 10, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1529", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, -6, 1, -7],\n [-6, 10, 1, 1, 8],\n [-3, 7, 9, 3, 6],\n [-6, -2, -9, 1, 7]]\nB =\n[[9, -6, -7, 4, -4],\n [-3, 2, 10, 2, 1],\n [0, 6, 0, -7, -2],\n [1, -1, -10, 8, -5],\n [4, 10, -2, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -3, 8, 0],\n [3, -7, -3, -3],\n [-7, -4, 5, 0],\n [8, 0, 10, 3],\n [1, 6, 3, 10]]\nB =\n[[-2, 7, -9, 10],\n [3, -3, -3, 10],\n [7, 3, 5, 2],\n [10, -4, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 2, -3, -9, 3, -3],\n [10, 10, -10, -6, -4, 6],\n [0, -4, -10, 0, -1, -5],\n [-9, -6, 5, -8, 4, -6],\n [4, -1, -4, 7, -5, 9],\n [-3, 5, -10, 8, -7, -8]]\nB =\n[[1, 7, 4, 5],\n [-7, 9, 5, -6],\n [-6, 1, -7, 7],\n [-2, 5, 0, -6],\n [-9, 9, -5, 0],\n [-5, 5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1848", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, 10, -7, -1, 0],\n [8, 6, -4, -6, -9, 10],\n [9, 7, 10, 7, 10, -6],\n [0, -7, 5, 10, 7, -8],\n [2, 6, 8, 2, -7, 7]]\nB =\n[[1, 4, 2, 5],\n [3, -1, 5, -3],\n [4, 5, 9, -4],\n [8, 5, 4, 1],\n [-9, 6, -10, 2],\n [10, 3, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 10, 9, 4, -8, 2],\n [-2, -2, 6, -5, 1, 1],\n [5, -1, 7, 4, -6, 4],\n [-1, 7, 4, -7, -9, 2]]\nB =\n[[10, -6, -9, -1],\n [-9, 6, 7, 5],\n [7, 9, 5, 10],\n [-10, -2, -8, -8],\n [-2, -1, 8, -5],\n [1, 10, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -7, -1, -7, -8, -8],\n [-2, 7, 6, 3, -7, -2],\n [7, -3, -8, 6, 10, 8],\n [-2, 0, -9, 9, 8, 1],\n [4, -10, 3, 9, 4, -5],\n [-1, 2, 5, 6, -9, -3]]\nB =\n[[-1, -2, -4, -2, 3, 7],\n [-1, -8, -9, 0, 6, -6],\n [-7, -2, 3, -3, -7, 2],\n [-4, -3, -1, 1, 2, 8],\n [-4, 5, -1, 3, 10, -1],\n [4, -8, 3, -4, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2069", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 3, -6, -4, 1],\n [-4, 9, 3, 6, -8, -2],\n [6, 10, -3, 2, -4, -6],\n [0, 5, 0, 2, 3, -10],\n [6, 2, -9, 1, 10, -7]]\nB =\n[[5, 2, 3, -1, -2],\n [-2, -4, 1, -1, -3],\n [-7, 0, 5, 6, -1],\n [1, -4, -2, 8, -7],\n [-10, -10, 4, -10, 3],\n [-5, -9, -8, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 6, 9, 6],\n [0, 3, -5, -8],\n [4, -10, 6, 9],\n [-5, -6, 9, 9],\n [4, -6, -7, 2]]\nB =\n[[3, -4, 6, -4, 7],\n [10, 4, 4, -4, -2],\n [-5, 4, 3, -6, -10],\n [-8, 5, 5, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, 5, -5, -9, -6, 0],\n [0, -3, -4, -5, 8, -5],\n [9, -8, -7, -9, -6, 9],\n [-4, 3, 0, -6, -5, 6]]\nB =\n[[-7, -3, -5, -5, -8, 8],\n [2, 5, 8, 6, -10, 5],\n [-5, 2, -8, 9, 4, 3],\n [-8, 2, -3, 0, 4, 8],\n [-4, -3, -5, 0, 10, 6],\n [7, -8, 2, 0, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -6, -9, -3, -2],\n [1, 0, 8, -5, 1],\n [-8, 2, 9, -1, -3],\n [-10, -10, -5, -2, 4],\n [-5, 7, 5, -9, 6]]\nB =\n[[1, 0, 9, 4, -1, -4],\n [5, 8, 10, -8, -10, 5],\n [3, 3, 5, -8, -5, 7],\n [4, -1, -9, -8, 6, 0],\n [-4, 10, 8, -6, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2397", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 8, 1, 10],\n [3, -5, 6, -4],\n [-4, -2, -7, -2],\n [10, 0, -9, -8],\n [-10, 1, -6, 2]]\nB =\n[[-10, -1, 10, -8],\n [-10, -9, -4, 9],\n [3, 2, 2, -1],\n [-2, -10, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -6, 6, -2],\n [8, 1, 7, -7],\n [1, -2, -7, -5],\n [9, -4, -5, 6],\n [10, -7, -4, -3]]\nB =\n[[10, 5, 3, 1, 10, 0],\n [10, -10, 1, 2, -2, 5],\n [10, -3, -3, 9, 2, -8],\n [-4, -2, 6, 7, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[10, 7, 3, 1, -6],\n [7, 1, -10, 1, -1],\n [4, -1, 7, 5, 10],\n [-3, -2, 5, -5, -3],\n [9, 6, 6, 7, -3]]\nB =\n[[7, 1, 10, -5],\n [5, -7, 3, 4],\n [-5, -1, 7, 4],\n [2, -10, 2, 9],\n [7, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, -1, -8, 2, 5],\n [9, 0, 7, -6, -10, -7],\n [-8, 4, -3, 8, -5, 10],\n [-8, 3, -8, -9, -10, 3],\n [6, 7, -3, -5, -3, -4]]\nB =\n[[1, -7, -9, 1, -6, 7],\n [-3, 10, -10, -10, 7, 6],\n [10, -2, 5, -4, -5, 9],\n [6, 4, -3, 7, -2, 5],\n [-9, -8, -1, 8, -3, -5],\n [8, -1, 5, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 1, -7, -6, 0],\n [7, -8, 4, -1, -1],\n [5, -2, 7, -8, 3],\n [-6, 8, -10, -7, -1],\n [9, 1, -9, -2, -8]]\nB =\n[[9, -1, -7, -9],\n [-4, -3, -5, 5],\n [2, -7, -8, -6],\n [-4, -6, 8, -7],\n [10, -7, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "391", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -8, -5, -4],\n [-1, -2, -1, -10],\n [-5, 10, 10, 0],\n [-6, -2, 10, -8],\n [2, 1, 8, 7]]\nB =\n[[-3, -6, -3, 1, 8, 8],\n [4, 6, -4, 9, 8, -10],\n [0, 5, 1, -8, 0, -5],\n [-10, 2, -3, 6, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[2, -5, -6, -5],\n [-4, 4, -3, 8],\n [-3, 6, -5, -4],\n [8, -8, 9, 7]]\nB =\n[[-5, -4, 5, 6, -3],\n [8, -2, 2, 3, -1],\n [7, 0, 5, -2, 2],\n [6, 0, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -8, -9, 3],\n [-7, 7, 8, 10],\n [3, 2, -10, -2],\n [1, 0, -6, -9]]\nB =\n[[1, 3, 1, -9],\n [1, -10, 3, -4],\n [-3, 10, -8, -7],\n [-6, -7, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-8, 9, 3, 0],\n [9, 5, -9, -9],\n [1, -7, 3, -4],\n [7, -8, -8, 9],\n [-3, 8, -8, 0]]\nB =\n[[-3, 5, 10, 0],\n [-1, -5, -6, 6],\n [-2, -5, -3, -10],\n [8, -10, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, -2, -6, -8, 7],\n [3, -5, -10, -7, 7, -8],\n [0, -6, 9, -6, -5, -4],\n [-3, 0, 4, -10, -1, 10]]\nB =\n[[-3, 2, -5, -9],\n [10, -1, 5, 4],\n [3, -5, -1, -1],\n [4, 10, 9, -4],\n [1, -8, 2, 2],\n [7, 0, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-2, 7, -1, 10],\n [-6, 0, -4, -9],\n [3, -6, 5, 1],\n [10, -9, -1, 10]]\nB =\n[[-10, 3, -7, -3],\n [8, 10, 9, -7],\n [-1, 4, 2, 9],\n [9, 7, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-5, 5, 5, -8],\n [6, -9, -10, 1],\n [9, -2, -5, 2],\n [9, -7, -6, -3]]\nB =\n[[-1, -10, 6, 3],\n [4, -10, -1, 7],\n [-9, -3, -4, 10],\n [5, -6, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 1, -3, -9, 1],\n [5, -7, -5, -6, 3],\n [6, 6, -7, -10, 4],\n [-4, -3, 3, 2, 2],\n [-9, 7, 1, -5, -8],\n [-9, 10, 5, -5, 0]]\nB =\n[[-4, -9, -6, 7, 0, -7],\n [-1, 9, -5, -9, -2, -7],\n [0, 3, -8, -5, -1, 4],\n [-3, 1, -9, -7, 2, -2],\n [-7, -2, -8, -3, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2279", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-7, 7, 7, 1, 8, -6],\n [-6, -1, -8, -3, -4, 2],\n [5, 2, 1, -2, -9, -3],\n [-7, -1, 7, 9, 4, 3],\n [3, -10, 7, -7, -4, 1]]\nB =\n[[-2, 1, 7, -6, 7, -1],\n [0, 8, -9, 0, -5, 9],\n [-7, -3, -7, 5, 0, 2],\n [8, 10, 3, -4, 3, 9],\n [0, -10, 0, 4, 3, 0],\n [-2, 8, -8, 9, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -1, 4, -1],\n [3, 8, 7, -7],\n [1, 4, 10, 4],\n [3, 7, -2, 1],\n [-4, 6, -8, -7]]\nB =\n[[-6, 6, -10, 10, 2, -9],\n [-9, 8, -4, -3, 0, -4],\n [9, 1, 9, -1, 9, 9],\n [3, -4, 3, 8, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 10, 2, 5, -9, -2],\n [-4, -3, 0, -6, -5, -5],\n [3, 10, 4, -1, 10, 9],\n [5, -4, 2, -7, -7, -8]]\nB =\n[[-8, -2, 9, -6, -7, -10],\n [10, 5, -6, 1, 9, 10],\n [7, 6, 1, 4, -8, 5],\n [9, 9, -8, 0, -3, -4],\n [1, 8, -9, -6, 2, -8],\n [5, 6, 5, 1, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2034", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -8, 1, -4],\n [4, -2, -3, 0],\n [7, -2, -2, -2],\n [10, -6, -10, 7]]\nB =\n[[-2, 3, 4, 4, 1],\n [4, 0, -1, 7, 9],\n [1, -9, 9, 0, 5],\n [-5, 2, 3, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 5, 4],\n [4, 9, -9, 9, -2],\n [0, 2, 6, -2, 10],\n [-10, -9, -6, 4, 2],\n [-10, 10, -2, 0, -7],\n [-1, 4, -1, -6, 3]]\nB =\n[[1, -5, -2, -5],\n [-8, 8, 7, -1],\n [-2, 0, -6, -2],\n [-4, -1, 5, 4],\n [5, -7, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 0, 5, 7, -1],\n [6, 4, 7, 8, -10],\n [-8, -3, -5, 6, -6],\n [-4, 9, 3, 7, -8],\n [-3, -1, -3, 0, 8]]\nB =\n[[-10, 1, 3, -7, 6],\n [8, 7, -1, 2, -7],\n [-5, -10, 6, -8, 9],\n [6, -8, -2, -3, 2],\n [9, -6, 6, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, -9, 7, 0, -1],\n [-6, -1, 3, 3, -10, -5],\n [2, 4, 0, -6, 5, 8],\n [-1, -1, -7, -10, -4, 5],\n [-10, 10, -1, -6, 9, 8],\n [8, 6, -1, 8, 3, 5]]\nB =\n[[10, -7, 6, 3],\n [-9, -1, 6, 2],\n [-1, -5, -8, 1],\n [-1, 6, 7, -6],\n [-4, 5, 2, -9],\n [-9, 8, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, 9, -3, 3, 8, -10],\n [6, 4, -7, -8, 7, -4],\n [8, -7, 0, -1, 6, 8],\n [-2, -7, 9, -6, 6, 3],\n [5, 8, 5, 8, 10, 9]]\nB =\n[[7, 8, 10, 2, 3],\n [4, 5, -3, 0, -8],\n [7, -5, -4, -4, -1],\n [-2, 3, 2, -5, -10],\n [-4, 0, -5, -2, 2],\n [6, 5, 8, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, -7, -9, 6, 10],\n [-1, -4, 8, -10, 0],\n [-6, 7, -1, 0, -2],\n [1, -5, 9, 2, -4],\n [-1, -2, -8, -8, -5],\n [-5, 2, 6, 7, 7]]\nB =\n[[0, -1, 3, -1, -9, 9],\n [-10, 1, -2, 7, -7, 0],\n [-3, 10, -2, -6, -2, -9],\n [8, -3, -1, -1, 8, -4],\n [2, -8, -10, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 5, -8, -5, 2, -9],\n [-4, -3, -3, -9, -4, -8],\n [-9, 0, 4, -8, 2, 2],\n [5, -10, 2, -10, 2, 2]]\nB =\n[[-5, 4, 0, -1, -2, -1],\n [2, 4, 8, 10, 2, 0],\n [-4, 8, -7, -2, 2, 3],\n [-3, -2, 10, 9, 10, 2],\n [-3, 0, 10, -4, 10, -3],\n [-10, 10, 2, -3, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -5, -2, -10, -5, -6],\n [-1, 5, -2, -2, -10, 3],\n [-1, 2, -10, -8, 2, -5],\n [-3, -9, 8, -8, -10, 10],\n [4, -6, -2, -4, 3, 10]]\nB =\n[[8, -7, -6, 2, -9],\n [9, 6, 6, 6, -2],\n [-2, -6, 10, -1, -4],\n [-8, -1, 2, 6, 7],\n [-1, 6, 3, 1, 10],\n [6, -6, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -6, -8, -10, 5],\n [-10, 1, -7, 10, -8],\n [9, 9, 8, -7, -3],\n [-9, 3, -3, 0, 5]]\nB =\n[[-2, 2, 5, 10, 3],\n [-10, 9, -8, -3, 10],\n [9, -3, -2, -4, -4],\n [4, 0, 10, 1, 1],\n [-7, -2, -8, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 4, 0, -6, 6, -6],\n [-2, 1, 3, 0, 9, 9],\n [8, -8, 10, -10, 5, -1],\n [3, -6, -9, -10, 8, -7],\n [-7, -2, 7, 3, 2, 10]]\nB =\n[[10, -4, -9, 2],\n [1, 7, 1, -3],\n [-6, 5, 5, 0],\n [-10, -10, 5, -1],\n [3, -6, -9, -3],\n [-7, 7, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -9, 5, 4, -5, 7],\n [-7, -9, 4, -4, 2, -1],\n [6, 2, -1, -9, 3, 6],\n [10, -10, 10, -1, 6, 3],\n [3, 10, 4, 8, -3, -7]]\nB =\n[[-2, 6, 1, 10, 7, 1],\n [8, -7, -3, 8, 7, 3],\n [5, -9, -2, -5, -7, 6],\n [2, -5, 7, -6, 8, 6],\n [4, -4, -1, -3, 9, 5],\n [-5, -10, -5, 4, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -2, -1, 3, 6],\n [-2, -6, 8, -9, 1],\n [8, 2, -9, 6, 0],\n [5, -9, -2, -9, 6],\n [-9, -2, 9, -6, -6],\n [6, 6, 10, -1, 6]]\nB =\n[[-8, -1, 2, -7],\n [-7, 2, 6, 2],\n [1, -6, 8, -5],\n [8, 9, 1, 10],\n [0, 10, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 3, 10, 5, -10, -1],\n [1, -5, -5, 9, -8, 10],\n [6, -4, 8, -4, -7, 7],\n [6, 10, -8, -6, 5, -4],\n [0, -8, 8, -7, -9, 3],\n [7, -9, 4, -4, 1, -1]]\nB =\n[[-7, -2, -8, -8, 0, 0],\n [-4, -4, 5, 1, -9, -7],\n [8, 0, 10, -5, 1, 5],\n [4, -1, 5, -5, -5, -9],\n [7, 2, -8, 8, -4, -5],\n [-6, 3, -7, 7, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2610", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -7, 1, 4, 10, 8],\n [3, -5, -9, -4, 4, -4],\n [-8, 3, -9, -9, -1, 7],\n [-6, -10, -8, 2, -4, 3],\n [8, 3, -10, -5, 9, 10],\n [-8, 3, -2, 6, 9, 2]]\nB =\n[[2, -3, 9, 6, 10, -1],\n [-2, -3, -5, 10, -5, 3],\n [-9, -8, -7, 6, -9, -2],\n [-4, 5, -10, -2, 6, 0],\n [0, -3, 0, -7, -7, 2],\n [-10, 3, 6, -5, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 3, -1, -10, -6],\n [0, 8, 3, -4, 3, 9],\n [8, 4, -6, -10, -10, -2],\n [7, 0, -8, -2, 1, -5],\n [-1, 8, -9, -6, -3, 7]]\nB =\n[[10, 9, 5, 3, -5],\n [-3, -9, -4, 6, -9],\n [10, -9, -5, -10, -9],\n [-10, 0, -2, 4, -2],\n [-6, -7, -3, 2, 5],\n [8, -2, 2, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, 2, -9, 7, -4],\n [-7, -8, 9, 9, 2, 5],\n [-2, -2, 4, -3, 2, 3],\n [8, 9, -9, -4, -2, -5],\n [3, 2, 2, -6, -2, 8],\n [0, 5, 3, -4, -2, -2]]\nB =\n[[-6, 5, 1, 0, -4, 7],\n [8, 4, -1, -4, 4, 10],\n [-10, -3, -2, 2, -8, 1],\n [-10, 7, -10, 10, 4, 10],\n [-9, 0, 4, 10, -6, -8],\n [1, -8, -7, 9, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -4, -7, -3, 7],\n [-9, -5, 10, -2, 9],\n [2, -6, 2, 1, 0],\n [9, -7, -5, -7, 9],\n [-7, -10, 7, -8, -8],\n [-7, 1, 9, -6, 3]]\nB =\n[[10, -4, -6, -8],\n [5, -6, 7, -9],\n [-8, 7, -7, -3],\n [-6, 3, 9, -2],\n [3, -2, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[7, -2, -3, -3, -7, 9],\n [5, 1, 2, -4, 6, -1],\n [-8, 5, 3, -5, -4, -5],\n [2, -10, 1, -7, -10, -8]]\nB =\n[[10, -4, 8, 0, -7],\n [2, -6, -7, -7, 8],\n [10, 8, -9, -10, 0],\n [10, -1, -3, -8, 5],\n [10, -5, 8, -7, 3],\n [-6, -5, 6, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -3, 7, -4, 10],\n [-4, -10, -6, 1, 0],\n [-7, 0, 4, -4, 10],\n [0, -2, 10, -10, 6],\n [5, -9, -8, -8, -3]]\nB =\n[[2, -1, 0, -5],\n [0, 9, 9, 9],\n [5, -10, 6, -4],\n [1, -3, 7, 2],\n [-9, 8, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "998", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -1, 10, 6],\n [1, 2, 9, 2],\n [-7, 10, -3, 8],\n [0, -9, -2, 0],\n [8, -6, -1, -4]]\nB =\n[[-10, 10, 5, -10],\n [0, 8, 9, 9],\n [0, -4, -4, -4],\n [7, -10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, -2, -9, 5, -3],\n [2, 4, -2, 4, 3, -4],\n [-2, -6, -5, 9, 7, -10],\n [-7, -1, 2, 6, -7, -2],\n [-8, 4, -1, -5, -6, 1],\n [-2, 8, 0, 8, 6, 8]]\nB =\n[[6, 2, 9, -9, 4],\n [-1, -5, -8, 2, -9],\n [-4, 4, 10, -4, 9],\n [-3, 4, 6, 8, 3],\n [10, 8, -3, 7, -8],\n [9, 3, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -9, 1, 10],\n [1, -10, -10, 9],\n [-9, -3, -6, -4],\n [-6, -10, 5, 2]]\nB =\n[[8, 7, 4, -9, -5],\n [7, 1, -6, -3, 8],\n [-2, -5, -2, -2, -9],\n [9, 1, -9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, -3, -4],\n [5, 6, 4, 10],\n [-7, 7, -5, -5],\n [0, 8, -3, 4],\n [5, 4, -5, -7]]\nB =\n[[-3, 0, 5, 0],\n [2, -2, 2, -4],\n [8, -2, 10, 0],\n [-2, -4, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[2, 10, 1, 3, 8, 7],\n [-4, -7, 1, -9, 1, -1],\n [5, 0, 6, -6, -7, 3],\n [9, 5, 5, 4, -2, -10],\n [-1, -3, -6, -6, 0, -2],\n [-8, -4, 6, 8, -1, -8]]\nB =\n[[3, 6, -9, 4],\n [-7, 8, -10, 4],\n [-10, 4, 4, 5],\n [1, 1, 0, 6],\n [-7, 0, 1, -9],\n [-1, -10, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, 8, 3, -7, 4],\n [-9, -4, -3, 4, 1, -7],\n [-5, -5, 9, 2, 2, 6],\n [-4, -5, -2, 5, 5, 10],\n [6, 8, -1, -3, 7, 1],\n [2, 1, -8, 8, -4, 3]]\nB =\n[[3, 4, -2, -4, 9, 6],\n [2, 1, -2, 5, -4, -8],\n [4, -4, -9, 7, 7, 9],\n [-8, 7, 7, 10, 5, -5],\n [-7, 1, 3, 7, -10, 5],\n [-7, -5, 1, -6, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[5, -8, -3, 3, -9],\n [4, -5, -10, 6, -10],\n [8, 2, -9, 1, 8],\n [5, -1, -7, 8, -10]]\nB =\n[[-6, -8, -10, -1, -10, 9],\n [-9, -2, 8, -9, 4, 10],\n [5, -9, 2, 5, 0, -10],\n [-7, 6, -4, 3, 3, 3],\n [-7, -5, 5, -5, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, 1, 4, 3],\n [7, -9, 3, -3, -4],\n [-7, -7, -1, 3, 3],\n [-1, 8, 1, 0, -10],\n [9, 1, 3, 1, -6],\n [-5, 9, 8, -3, 5]]\nB =\n[[8, 0, -8, 2, 10, 8],\n [8, 1, 9, 8, 1, 1],\n [-8, 0, -5, -3, 6, -6],\n [-1, -6, 0, -4, -6, -2],\n [-1, -9, 10, 8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, -2, 9, 3],\n [10, -7, -8, 7, -2],\n [6, -2, -6, -7, -5],\n [-6, -6, -3, -6, 8],\n [-6, 8, 3, 1, -3],\n [-5, 6, -4, -6, 3]]\nB =\n[[4, 2, -7, 5],\n [9, 6, 7, 9],\n [10, 9, -5, -4],\n [3, 0, -2, 10],\n [4, 6, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-331", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -9, 3, -5, 6],\n [8, 2, 2, -8, -10],\n [-9, -6, 0, 2, 10],\n [-1, -1, -3, 4, -6],\n [-5, 1, -8, -4, 4]]\nB =\n[[2, -7, 4, -1, -6],\n [5, -2, -8, 6, -3],\n [4, 2, 2, -4, -4],\n [-8, -5, 6, 6, 8],\n [-8, -3, 10, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[4, -10, -3, -1, -1],\n [7, 8, 7, -9, 5],\n [-2, 4, 1, -7, 1],\n [-1, -7, -6, 4, -8],\n [-9, 4, -4, -2, 10]]\nB =\n[[-7, 6, -1, 0, -7, 8],\n [-3, 1, 2, -9, 5, 0],\n [-1, 4, 8, -3, 10, -9],\n [0, 6, 4, -10, -9, 6],\n [6, 10, -4, 2, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 5, -4, 7],\n [6, 3, 3, 7],\n [5, 9, 7, 7],\n [-1, 3, 4, 10]]\nB =\n[[5, 7, 4, -8, -9, 4],\n [-5, -1, -4, 1, 5, -9],\n [-5, 3, 1, 5, 9, 4],\n [1, 2, 3, -1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "883", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -4, 1, 9],\n [10, -2, -8, 2],\n [10, 4, 1, -6],\n [-1, 8, -1, 3]]\nB =\n[[5, -7, -6, -1, 7, 2],\n [-8, -3, 6, 9, 7, 5],\n [-10, -7, 8, 4, -4, -8],\n [0, 7, 4, 0, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -10, -7, -7, -8],\n [6, -9, 6, 8, 2],\n [0, 7, 10, 0, -3],\n [-7, 0, -8, -10, -4]]\nB =\n[[-1, 4, -10, -6, 9],\n [-2, -7, 9, 7, -10],\n [3, -3, -4, -3, -1],\n [-9, 5, -8, -10, 6],\n [-3, -6, 1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1778", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 2, 0, -1],\n [-7, -6, -1, 6],\n [7, 7, 5, 3],\n [7, -4, 7, 8],\n [2, 6, -10, -4],\n [9, 7, -4, 4]]\nB =\n[[-4, -5, -6, -9, 3, 5],\n [7, 3, -4, -5, 4, 0],\n [-7, 4, -6, 8, -7, 10],\n [-1, -9, -9, -5, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2302", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-10, -4, 6, 10],\n [-9, -8, 1, -8],\n [1, 2, -6, -6],\n [-8, 9, -8, -10],\n [-3, -6, -10, 10],\n [-6, 6, 6, -7]]\nB =\n[[-10, -2, -1, -9, 2, 8],\n [-2, 3, -5, 6, -9, 5],\n [-4, -6, 5, 4, 5, -9],\n [4, -2, -9, -9, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 10, 1, 8, -1, 10],\n [-9, 0, 4, -8, 7, 5],\n [6, -6, -6, 8, 7, -3],\n [-9, 3, -1, 7, -10, -9]]\nB =\n[[-2, 4, 7, 6, -1],\n [-6, -10, -4, 2, 9],\n [1, -4, -9, -9, 1],\n [4, -10, -6, 0, 3],\n [-8, 0, 8, 8, 5],\n [-6, 3, 7, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1802", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 3, -10, -2, 10],\n [2, 5, -4, 4, -1],\n [3, 2, 2, 3, -3],\n [-9, -2, -3, 10, 10]]\nB =\n[[-10, -8, -10, -10],\n [8, -9, 5, 3],\n [1, 8, -4, 2],\n [0, -4, 2, 10],\n [8, -7, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-1, 5, -9, 3, -5],\n [9, 8, 3, -1, 2],\n [-2, 3, 1, 8, -3],\n [-9, -8, -1, -4, -9]]\nB =\n[[4, 4, -5, 9],\n [-6, 6, 8, 0],\n [-4, 1, 3, 6],\n [-7, 3, -3, -5],\n [9, 0, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[7, 5, -9, -1, -4, -1],\n [7, 9, 7, 4, -4, 5],\n [7, -4, 8, 7, -1, -5],\n [-7, -2, -8, 10, 3, 2]]\nB =\n[[10, 5, 0, -8, 8, -5],\n [4, -5, -9, 10, -10, -4],\n [-1, 1, -5, 3, 9, 6],\n [-7, -4, -8, -2, 6, 0],\n [0, -4, -2, 10, -6, -8],\n [4, -6, -1, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 9, 5, 0],\n [7, 3, -2, 0],\n [10, -8, 1, -5],\n [-7, -8, 10, 5]]\nB =\n[[2, -9, 6, 8, 6, 2],\n [-10, 3, -5, 10, 1, 8],\n [4, -1, 9, -2, 0, -9],\n [-7, -9, 1, 8, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 3, -10, -10, -6],\n [-9, 0, 1, 3, -7],\n [0, -3, 3, 3, 7],\n [5, 7, -1, 1, -7],\n [2, -1, 8, 1, -3],\n [5, 10, 2, 5, 8]]\nB =\n[[-4, 6, -8, 1, 0],\n [-5, 3, 8, 7, 10],\n [-1, 10, -9, -8, -7],\n [3, 3, 5, -2, 5],\n [1, 8, 8, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 5, -8, 10, -1, 8],\n [-3, 9, 7, -3, -7, -6],\n [-9, 10, -6, -1, -8, 2],\n [-6, 4, -4, 10, 0, -9],\n [-2, 3, 0, 0, -4, -4]]\nB =\n[[1, 10, 7, -2],\n [-5, -5, 3, 1],\n [-2, 1, 2, -10],\n [1, 8, 6, -3],\n [3, -7, 6, 6],\n [-10, -9, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, -2, 4],\n [-1, -4, -9, 0],\n [-8, 2, 7, 3],\n [-4, 7, 8, -6]]\nB =\n[[-6, 10, -6, -8, 0, 0],\n [2, -2, -6, -7, -4, -10],\n [7, -7, -9, -10, -7, -6],\n [10, -1, 5, 0, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 7, 7, -2],\n [4, -6, 1, -2],\n [9, -3, -8, 7],\n [-1, -5, 5, 1]]\nB =\n[[0, 4, 1, -1, -2, -3],\n [3, 8, -4, -1, 5, -5],\n [5, 5, -9, -6, 5, 5],\n [7, 4, -2, 0, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, -1, 8, -8],\n [-1, 6, 9, 8, 10],\n [-9, 2, 10, 8, -8],\n [10, 2, -9, -8, -7],\n [10, 6, 7, -2, 7]]\nB =\n[[2, 10, 4, -6, 4, 7],\n [-3, 5, -10, 1, 0, 7],\n [3, 1, 1, -8, 1, 6],\n [9, 1, 7, -4, -2, -7],\n [2, 0, 9, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 2, -2, 0],\n [-1, 1, -8, -8],\n [-2, -3, -9, 3],\n [-3, -8, 7, -6]]\nB =\n[[8, 9, 9, 8, -4, 5],\n [2, 7, 10, 6, 6, -6],\n [-5, 5, -4, 5, 2, -3],\n [4, -9, 1, -4, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, 10, -10, 3, -9],\n [7, 1, 0, -10, -8, 5],\n [0, 7, 7, 5, -9, 10],\n [-9, 0, -8, 1, 2, 6]]\nB =\n[[7, 8, -3, -10],\n [3, -7, 2, -10],\n [1, 3, 0, 0],\n [-7, -2, 2, 3],\n [-4, -9, 3, -8],\n [7, -10, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -10, -5, 0, -3, -8],\n [-3, 8, 1, -7, -9, 0],\n [10, 2, -3, 4, 10, -5],\n [-2, -6, 7, -10, -7, -1]]\nB =\n[[10, 4, 1, 0, 6],\n [-2, -8, -2, 1, 0],\n [-1, -4, -4, 10, 3],\n [-10, 9, -9, -10, -6],\n [1, 8, 2, -3, -1],\n [-9, -4, 4, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, 2, 9, 8, 8],\n [9, -9, -2, -10, 8, 8],\n [-1, -6, -7, -8, 9, 7],\n [-3, -7, 10, 1, 10, -7]]\nB =\n[[-5, -10, 2, -8],\n [3, 0, -3, 1],\n [6, -9, -3, -2],\n [2, -9, -4, -4],\n [7, -2, -7, 6],\n [-3, -10, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 0, -1, 6, -8],\n [7, 7, -6, -5, -6],\n [-6, -2, 5, -1, 3],\n [-5, -4, -8, -3, 7],\n [8, 3, 10, -4, 6]]\nB =\n[[-3, -1, -5, -9, 8, 5],\n [3, -6, -4, -7, 2, -4],\n [4, -9, 2, 7, -6, 9],\n [-8, 3, 1, -10, -10, 0],\n [-6, 9, 3, -8, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1760", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, -6, 10],\n [-4, 4, 0, 10],\n [-9, 10, 1, -2],\n [-10, -4, -10, 9]]\nB =\n[[5, 10, 2, -4, 5],\n [-10, -1, -4, 6, -10],\n [-8, 7, -1, -5, -2],\n [-5, 4, -4, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[8, -9, 5, 3, 2, -10],\n [4, -1, -5, -8, 6, -5],\n [-5, 4, -3, 7, -8, 5],\n [-6, 5, 0, -10, 8, 2],\n [9, 0, -2, 0, 10, -8]]\nB =\n[[7, -6, 7, -10, 1, -8],\n [-7, 10, -8, -7, -2, -6],\n [-3, -6, 5, 0, 4, 5],\n [3, -10, 7, -6, -7, 4],\n [1, 9, 7, 3, -5, 6],\n [2, 5, -9, 9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 3, 1, 3],\n [-8, 1, 0, -7],\n [2, -4, 9, -5],\n [7, 0, 3, 6]]\nB =\n[[-10, -2, 9, 8, 5, -1],\n [-2, 6, -7, 9, 7, 2],\n [4, -10, 0, 1, -2, 10],\n [-3, -8, -1, 8, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-6, -9, -3, 2],\n [-7, 6, -7, -3],\n [-2, -4, -7, 5],\n [-10, 9, 9, 6],\n [9, 7, 7, 0],\n [7, -7, -9, 7]]\nB =\n[[6, 1, 8, -8, -1, -1],\n [5, -9, 10, 7, 6, 8],\n [8, 8, 1, -4, -6, -1],\n [3, 6, -5, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 9, 10, 2, 4, -8],\n [7, -7, -3, 0, 4, 6],\n [2, 2, 7, -5, -6, 8],\n [4, 0, -3, 6, -1, 1]]\nB =\n[[-4, 10, 6, -1, 7, -9],\n [9, -1, 2, 3, -5, 9],\n [10, -10, 8, -1, 9, -9],\n [-10, 8, 9, -5, -5, 0],\n [0, -2, -7, 5, 5, 9],\n [8, -7, 5, -5, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 3, 7, 8, 4],\n [6, -7, -1, 10, 4, -10],\n [-10, 2, -3, 10, 8, 8],\n [-10, -5, -9, -8, 1, 9]]\nB =\n[[-6, 0, 0, -4],\n [9, -1, 5, 3],\n [-7, 7, -7, 5],\n [-7, -5, 2, 3],\n [3, 8, 10, -5],\n [10, 4, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -1, 8, -5, 8],\n [-4, 8, 10, -1, 4],\n [6, -10, 3, -8, -1],\n [4, -3, -7, -2, -3],\n [-6, -4, 2, -6, -5]]\nB =\n[[3, 10, 1, 8],\n [0, 7, -2, 9],\n [8, -7, -3, 3],\n [8, -9, 6, -9],\n [10, 6, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 1, 10, 8, 7, -2],\n [7, 1, -8, -9, -5, -4],\n [-6, -4, 3, 6, 5, -1],\n [8, 8, -10, -9, 10, 9],\n [8, 8, 0, -7, 6, -6],\n [4, -9, 2, -5, -5, -6]]\nB =\n[[2, -9, -6, -7, 7, 7],\n [5, 3, 6, 3, 4, -4],\n [-5, 3, 9, 4, 3, -9],\n [-9, -4, -10, -3, 8, -4],\n [-2, -9, -10, 3, 8, 6],\n [4, 2, 6, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2570", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[4, -1, 8, 8],\n [-7, 8, 7, 4],\n [-9, 7, -7, 2],\n [3, -10, 6, -5]]\nB =\n[[7, -3, -8, 10, 5],\n [10, -6, 8, 5, -5],\n [5, 2, -7, 5, -2],\n [3, 1, -1, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -10, 7, -6, 8, -5],\n [5, -9, 9, 2, 5, 9],\n [1, 6, 3, -3, -10, 0],\n [9, -8, 5, -3, -4, -2],\n [-3, 6, -9, -7, 1, -10],\n [-7, 4, 0, 8, 10, -10]]\nB =\n[[0, 10, -5, 4, -10],\n [4, 2, -10, -2, -9],\n [3, 9, -7, -5, -9],\n [-8, 8, -1, 10, -2],\n [-1, -9, -4, 9, 3],\n [-5, 8, 1, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -4, 4, 8, 1, -3],\n [-9, 4, 2, 7, 2, -1],\n [10, -1, -8, -4, 0, -9],\n [-9, -5, 5, 7, -9, -8],\n [-5, -3, 6, 9, -1, -7],\n [5, 1, -3, 1, -8, -9]]\nB =\n[[-5, -6, -10, -7],\n [6, -3, -3, 5],\n [7, -3, 8, -1],\n [-8, -1, 5, 7],\n [0, -6, 5, 3],\n [-3, -4, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "704", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 8, 8, 8, -9, 1],\n [-4, -10, -10, 7, 2, -7],\n [4, -6, 0, -6, 0, -3],\n [-3, 7, -7, 4, -6, -8],\n [-6, -9, -8, -6, -5, -2]]\nB =\n[[10, -8, 4, 10, 5],\n [-6, -2, -6, 0, 10],\n [-4, -8, -3, -8, -4],\n [-2, -7, -7, 10, 9],\n [9, -10, 10, -9, 9],\n [10, -3, -2, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2325", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 10, -9, 10],\n [6, -9, 7, -1, -7],\n [10, 0, 8, 10, 0],\n [-1, -9, -2, -5, 4],\n [-10, 8, 6, 0, 6]]\nB =\n[[-9, 7, 5, -4, 0],\n [4, 9, 4, 5, 1],\n [-5, 3, 5, 5, 8],\n [-2, -2, -1, -1, -7],\n [3, 3, 8, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, -4, 8],\n [-7, -6, 8, 3],\n [-3, 1, -9, -4],\n [7, 4, -7, 5]]\nB =\n[[-1, -4, 7, -3, -5, 10],\n [6, -9, -6, -8, 3, 4],\n [10, 3, 5, 5, 6, -5],\n [-4, 7, 0, 3, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -10, -3, 8, -6, 1],\n [-4, -1, -8, 3, -10, 5],\n [-6, -4, 9, -2, -9, 4],\n [-8, 3, 4, -9, 6, -9],\n [4, 9, 0, 4, 8, -8]]\nB =\n[[4, -2, -7, 9],\n [-10, -10, 2, -2],\n [-9, -5, 9, 8],\n [9, 1, 9, -2],\n [-3, -4, -6, 3],\n [8, 6, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 1, -2, -9, -10, -1],\n [-4, 4, 4, -1, -3, 3],\n [10, 1, 3, 10, -2, -9],\n [-2, -5, -9, 7, 10, 4],\n [-5, -3, 9, 9, -6, -5]]\nB =\n[[5, -4, 2, 2],\n [9, 6, -6, 5],\n [-2, 6, 0, -2],\n [1, -5, 10, -10],\n [7, 1, 6, -8],\n [-9, 6, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[9, -8, 2, -7, 0, 4],\n [5, -6, -1, -5, 5, -3],\n [2, 7, 9, 4, -3, -8],\n [7, 4, 4, -1, -10, -6],\n [1, -8, 6, -2, 10, -2],\n [8, 4, -2, 4, 9, -8]]\nB =\n[[-3, -5, 2, -4],\n [-5, -6, 2, -5],\n [-8, 5, 6, 7],\n [-1, -2, -1, 10],\n [6, -10, 4, 6],\n [-1, -4, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 7, 1, 5, 10],\n [-7, -7, -3, -5, -4],\n [7, -8, 4, 6, -9],\n [-6, 0, -2, -9, -6],\n [-8, 4, -5, -2, 9],\n [6, -3, 2, 3, 1]]\nB =\n[[4, -9, 7, 5, -8],\n [-5, -4, -7, 5, -2],\n [8, 1, -1, -2, -10],\n [6, 2, -8, 5, 6],\n [3, -2, -5, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -1, -10, -6],\n [5, -10, -9, -5],\n [-5, 10, 4, -10],\n [9, -9, 1, 2],\n [4, -2, 9, -1],\n [6, 9, -9, 0]]\nB =\n[[1, 6, -9, 1, -9],\n [-10, 10, 1, -3, -9],\n [-6, 3, -10, -1, -8],\n [6, 4, 2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[9, -3, 9, -7],\n [-2, 0, -5, -4],\n [-2, 8, 2, 4],\n [-2, -8, 9, -6],\n [-3, -2, -8, 2],\n [8, 10, -7, 5]]\nB =\n[[-10, 9, 6, 10, -5, 2],\n [9, 6, -5, 5, 0, -4],\n [-6, -6, 2, 9, -3, -5],\n [-4, -10, 4, 9, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -3, 8, -10],\n [-2, -5, -8, -1],\n [-2, -10, 10, -3],\n [1, 1, -5, 8],\n [5, 8, -6, -7],\n [-7, -8, 8, 3]]\nB =\n[[-6, -5, 10, 8],\n [-7, 3, 0, 0],\n [8, 2, 1, 3],\n [2, 4, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1581", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 6, -6, 2, 0],\n [1, 4, -2, -10, -7],\n [5, 0, -8, -6, 6],\n [2, 7, -7, -6, -6],\n [-3, -1, -7, 7, 10]]\nB =\n[[4, 7, -2, 1, 0, 10],\n [9, 6, -4, -8, -1, 2],\n [6, 3, -3, 0, 7, -5],\n [8, -1, -7, 10, 10, -1],\n [-7, -8, 9, 10, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 4, -4, -3, -3],\n [9, 9, -5, -9, -10],\n [-10, 10, -3, -7, 1],\n [9, 4, 3, -2, -4]]\nB =\n[[-2, -10, -3, 4],\n [-5, -4, -8, -10],\n [8, -9, -6, 1],\n [5, 5, 4, -8],\n [7, 8, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1282", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -10, -3, 2, 6],\n [0, 4, 4, 4, -9],\n [-10, 4, -9, -5, 4],\n [-2, -2, -2, -10, -8],\n [0, -1, 8, 9, -10]]\nB =\n[[-5, -2, -4, -4],\n [5, -3, 9, -8],\n [-2, -10, -10, -5],\n [-6, -6, 5, 3],\n [10, 6, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -2, 0, 8, -10],\n [1, -5, -9, -6, 5],\n [-4, -8, -10, -8, 3],\n [-3, 9, -7, -9, 6],\n [3, -5, 8, -5, -1]]\nB =\n[[0, 1, 0, 6, -4, -3],\n [5, -7, -3, -6, -8, -6],\n [-1, -1, -5, -2, 7, -8],\n [-9, -4, 5, 1, 0, -8],\n [-10, -4, 4, 1, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "737", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 2, -10],\n [-6, -4, 9, -6],\n [-8, 2, 3, -6],\n [3, 5, 3, 1]]\nB =\n[[-9, -5, -3, -2],\n [7, -10, -10, -6],\n [2, 8, 0, -10],\n [3, 5, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "871", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -2, 7, 8, -6],\n [1, -3, 4, -5, 10],\n [10, -2, -3, -10, -10],\n [-5, 10, 1, 5, 8],\n [-6, 3, 4, 9, -9],\n [-5, 7, -8, -4, 9]]\nB =\n[[-8, 1, -4, 0, 8],\n [-7, -6, -3, 6, 0],\n [-6, -9, -1, -1, -1],\n [-2, 4, 3, -3, -10],\n [8, -10, 7, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -7, 0, -2, -2],\n [10, 2, -8, -9, -10],\n [6, 4, 5, 0, 3],\n [-3, 6, 1, -3, 8],\n [7, -6, 3, 6, 2],\n [9, 4, 2, 8, 8]]\nB =\n[[0, 6, 7, -7, 7, -10],\n [-1, 0, -6, 10, -7, -4],\n [1, 7, 1, -3, -6, 9],\n [10, 6, -6, 2, -9, -7],\n [5, 0, -2, 3, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2319", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 0, 5, -4],\n [0, 6, -8, -7, 7],\n [-5, 2, -4, 0, 6],\n [-8, 3, 0, 5, 2],\n [10, -7, -7, -2, -8],\n [-9, -4, -10, 1, 6]]\nB =\n[[-7, -8, 7, 5, 2],\n [10, 10, 1, 1, -9],\n [-2, -6, -6, -6, -6],\n [-7, 10, 6, 2, -1],\n [10, 9, 5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "976", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 3, -8, -7, 9, 9],\n [2, -5, 2, 9, 8, -4],\n [-2, -4, -9, 6, -7, -7],\n [4, 7, -10, -6, -2, 4],\n [-1, 1, 9, -2, 7, -8]]\nB =\n[[10, -10, -3, -6],\n [1, -3, 0, 4],\n [7, 6, 7, 7],\n [6, 5, -4, -10],\n [-7, 10, -9, 10],\n [5, 0, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1686", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, 6, 3, 0, 4],\n [2, -2, -4, -1, 3, 2],\n [5, -8, -7, 1, -7, 4],\n [0, -7, 5, 4, 8, 1],\n [0, -2, 3, 2, 9, -8]]\nB =\n[[-7, -5, 9, -7],\n [6, -5, 3, 7],\n [-5, -7, 4, -9],\n [-1, -2, 6, 6],\n [7, -3, 0, 10],\n [-8, -7, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, 2, -8, -4, -10, -6],\n [5, -7, 8, -10, 6, -7],\n [-1, 0, -1, -3, 5, -6],\n [6, 0, 1, 7, -1, 5],\n [-4, -9, 1, 5, -5, -4]]\nB =\n[[-6, 4, -6, 9, 4, 8],\n [-10, -8, 1, 5, -5, 3],\n [5, -1, 3, 8, 0, -10],\n [-6, 6, 7, 5, -8, -1],\n [-1, -5, 2, -8, 1, 7],\n [-10, 4, -4, 3, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -1, -2, 0, 9],\n [9, 6, -9, -9, 1],\n [3, 9, 6, 1, -7],\n [2, -3, 5, 9, -5]]\nB =\n[[-3, 9, 8, 8, -4],\n [3, 6, -1, 10, -3],\n [3, -8, -2, 1, -2],\n [1, 0, 3, -4, 4],\n [8, -10, -7, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 6, -3, 7, -4, 1],\n [7, 2, -1, 10, -1, 2],\n [2, -1, 9, 8, -6, 8],\n [7, -5, 9, -6, -7, -2],\n [8, 5, -9, -4, -5, 7],\n [4, 8, 3, 4, 2, -5]]\nB =\n[[-2, 7, -4, 1],\n [-2, -8, 0, 9],\n [6, 10, 9, 8],\n [-2, 4, -8, 1],\n [-3, 9, 6, -10],\n [7, -8, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1663", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, -4, -8],\n [-8, 3, 1, -6],\n [-4, 10, 0, -5],\n [-4, 2, 2, 10],\n [-1, 0, 6, 1],\n [-7, -1, 1, 0]]\nB =\n[[7, -9, 0, 5, -7, -5],\n [-8, -8, -3, -9, -8, 4],\n [7, -7, 1, 8, 5, 4],\n [0, -8, 3, 6, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -2, -3, 3],\n [7, 6, 2, -8, -5],\n [0, 8, 10, 8, 4],\n [0, 3, 6, 8, -9]]\nB =\n[[-7, -1, 5, 3, 6],\n [4, 7, 0, -1, -8],\n [4, -7, -1, 10, -10],\n [2, 0, 2, 8, -6],\n [2, 1, -4, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -2, -7, 2, -2],\n [5, -4, -2, -2, -8],\n [7, -10, -1, -6, 2],\n [-5, -4, -8, -5, 6]]\nB =\n[[-1, -6, 5, 8, 3],\n [-9, 6, 8, -1, 9],\n [3, -2, 6, -5, -5],\n [9, 6, -10, -1, 5],\n [-7, -6, -1, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1066", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -2, -7, 10],\n [-7, 4, 8, 7],\n [-2, 8, -10, 2],\n [10, 0, 6, -9]]\nB =\n[[-8, 0, 2, -4, -2],\n [10, 3, -4, -7, -10],\n [-3, 6, 3, -8, -6],\n [-4, -1, 5, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[9, 6, 6, -2, 10, 0],\n [8, -1, 1, -8, -7, -4],\n [-7, 1, -3, 3, 4, -6],\n [-5, 6, 4, -2, -6, -2],\n [-7, 5, 5, 2, 7, 9]]\nB =\n[[-6, -9, 8, -5, 5, 3],\n [-10, -4, -9, -3, 3, 10],\n [-8, -10, 9, 7, 5, -2],\n [0, 6, 5, 4, 0, -1],\n [5, 5, 0, 1, -9, -1],\n [-6, -2, 9, -3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 0, 9, 2, -2],\n [-6, 8, 2, -5, 4],\n [-9, 4, 7, -5, -7],\n [-6, -1, -10, 2, 8],\n [-8, -8, 10, 2, 4]]\nB =\n[[-10, 10, -6, 7],\n [1, -6, 4, -5],\n [-4, -9, -4, 8],\n [-6, 7, -1, -1],\n [5, -4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 10, -8, -1, -10],\n [1, -10, -8, -6, 0],\n [-3, -3, 7, 2, -7],\n [-7, 4, -10, 2, -6]]\nB =\n[[3, -10, -4, -4],\n [-3, 3, -10, 7],\n [-5, 10, 6, -3],\n [-7, -3, 8, -7],\n [10, 2, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-561", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 0, 0, -4],\n [0, -4, -10, 5, 5],\n [4, 0, -7, -1, -1],\n [0, 2, 6, 1, 2],\n [4, 8, -6, 2, -3]]\nB =\n[[-4, 5, 2, -3],\n [-10, -4, -4, -1],\n [9, 7, 0, -7],\n [-1, 1, 6, -4],\n [5, -7, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, 7, -10],\n [8, 2, -2, 0],\n [9, -2, 3, 0],\n [2, -8, -8, -6],\n [10, -1, -3, -3]]\nB =\n[[8, 10, 6, -4, -3, 4],\n [-8, -6, 3, -10, -8, -9],\n [-7, -2, -9, 0, 10, 4],\n [-7, 0, -6, -9, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 6, -5, 10, 1, 7],\n [7, 6, 3, -7, 4, 1],\n [-5, 3, 10, 1, -5, -2],\n [-2, 7, -6, -2, -2, -9]]\nB =\n[[-1, 5, 6, -4, 5, 1],\n [5, -3, 4, 1, 0, 3],\n [-1, -5, 0, -9, 10, -3],\n [2, -5, -6, 7, -7, 10],\n [0, 5, -6, -1, 6, 5],\n [2, 9, -1, 0, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, 6, 3, -1, 9],\n [9, 6, 1, 3, 4, 10],\n [7, 5, -2, 0, -10, -8],\n [6, -4, 9, 7, -5, -6],\n [3, -3, -9, 3, 9, 1]]\nB =\n[[-9, 7, -10, 6, -10, 1],\n [-6, 10, 1, 3, -8, 10],\n [-3, 0, 8, 1, 4, -5],\n [-5, 7, -1, -9, -6, 8],\n [9, -7, -10, -1, -8, -6],\n [8, 7, -1, -8, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 9, 6, -9, -3],\n [-3, 2, 8, 3, 7],\n [-4, -10, -6, 6, 2],\n [5, -10, 1, 10, -2],\n [4, 2, -7, 7, -5]]\nB =\n[[3, 1, 9, 0],\n [-5, 6, -6, -3],\n [8, 10, -2, 5],\n [3, -1, 7, -7],\n [10, 4, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 10, -10, -2],\n [-6, -9, -4, -10],\n [10, 5, 5, -2],\n [2, -5, 7, 2]]\nB =\n[[-5, 0, 0, -3],\n [7, -6, -5, -2],\n [2, -2, -3, 9],\n [-9, -2, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -6, -6, 8, 3, -2],\n [-8, -4, 9, 2, -10, -5],\n [5, 1, -6, -4, 1, -2],\n [-5, -10, 6, 3, -5, 5]]\nB =\n[[3, -1, 0, -6],\n [-2, 5, 3, -9],\n [1, 3, 9, 4],\n [8, -5, 2, -4],\n [1, 3, -9, -9],\n [-3, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-2, -7, 7, 3, -5, -5],\n [-8, -5, 1, 6, 0, -8],\n [9, -9, -6, 1, -3, 7],\n [6, 8, -7, 7, -5, 10]]\nB =\n[[6, -3, 5, 4, -8, -8],\n [10, -5, 9, -9, 2, 8],\n [-4, -6, 3, -2, 10, -4],\n [-10, 2, -6, -1, 4, 5],\n [-5, -10, -8, -4, 0, 6],\n [0, 3, 4, 10, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -7, 2, 6],\n [0, 9, 5, 9],\n [8, -2, 0, 2],\n [-7, -4, -6, 9],\n [10, 2, -9, 5],\n [-1, -2, 10, 4]]\nB =\n[[-10, -8, 0, 2, -8, 1],\n [8, -10, -7, -8, -1, 5],\n [-8, -7, -2, 2, -2, 3],\n [-6, 9, 6, 4, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -1, -7, -3, 10, -10],\n [-7, -10, -2, -4, -10, -8],\n [-7, 3, 2, -2, -1, 4],\n [9, 0, -3, 0, 10, 1],\n [-8, 0, -6, 4, 2, 3],\n [0, 0, -10, -6, -7, -8]]\nB =\n[[6, -8, 4, 8, 6, -8],\n [9, 7, 5, 9, -5, 5],\n [-2, -4, 8, -5, 7, -2],\n [-4, -8, 0, -5, -10, -3],\n [10, -7, 6, -6, -6, 0],\n [9, 2, -3, 9, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -3, -8, 7, 5, -9],\n [-2, -3, -5, 9, 9, 2],\n [9, -2, -8, -10, 4, 3],\n [-8, 7, -10, 7, -7, 5],\n [4, 8, -3, 6, 8, -1]]\nB =\n[[2, 8, -8, 2, -2],\n [1, -7, 3, 3, 0],\n [4, -1, 0, -10, -5],\n [-4, 6, -10, -4, -2],\n [10, -2, -6, 1, 10],\n [8, 3, 10, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, 4, 6],\n [10, 5, -3, 8],\n [4, 5, -1, 5],\n [-5, -4, 6, 0]]\nB =\n[[-3, 8, 4, 5, -4, -6],\n [-1, -2, 8, 4, -7, 10],\n [-2, 10, 9, 8, 9, 6],\n [2, 3, 4, -9, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 6, -7, 5, 9],\n [10, 8, 9, 4, -1],\n [-2, 4, 6, 1, 6],\n [8, 8, 3, 2, -8],\n [-10, 0, 10, 4, 9]]\nB =\n[[2, -2, -10, -8, 1],\n [-6, -2, 5, -8, -5],\n [7, 1, -5, 5, 1],\n [7, 2, 5, -10, 2],\n [5, 6, 0, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 1, 3, -6, 8, -5],\n [-8, 8, -2, -4, 10, 3],\n [7, 8, -3, -4, 3, 10],\n [-5, -1, 10, 2, 7, 3],\n [0, 5, 2, 8, 7, -7],\n [0, 4, -8, 2, 2, -5]]\nB =\n[[3, -8, -9, -1, 3, 10],\n [8, 6, 5, 4, -3, 8],\n [4, 2, 4, -6, 8, -2],\n [9, -6, 7, 10, -7, -8],\n [5, -3, 9, -1, 8, 7],\n [0, 9, 9, 0, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1648", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, -10, 6, 1],\n [10, 5, 9, -9],\n [9, -2, 10, -6],\n [-3, 0, 2, 10],\n [-9, 2, -4, -4],\n [-9, 2, -4, -3]]\nB =\n[[3, -10, 0, -10, -4, 5],\n [-4, 6, -8, 10, -8, 8],\n [8, 5, -6, -1, -4, -9],\n [-10, -9, 4, 0, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 10, -4, -5],\n [0, 7, 5, 5],\n [-6, -9, 7, -10],\n [2, 10, -2, 6],\n [9, -5, 5, -3],\n [-5, -5, 0, -7]]\nB =\n[[3, 5, -6, -8, -1],\n [-10, -4, -1, 5, 8],\n [9, -7, 7, -1, -8],\n [-2, -10, 9, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, 7, -2],\n [5, 10, -10, -9],\n [0, 9, 6, 1],\n [5, -9, 10, 8],\n [5, 8, -3, -3]]\nB =\n[[10, 2, -7, 4, 10],\n [-4, 0, 4, 5, 6],\n [10, -4, -7, -6, -1],\n [-8, 3, 8, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -3, -1, 3],\n [-9, 7, 6, 10],\n [-7, -6, 7, 7],\n [-9, 1, 1, -2],\n [-3, 6, 9, 2]]\nB =\n[[-1, -1, 9, -6],\n [-1, 7, -3, -10],\n [10, -1, 6, -1],\n [-10, 5, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -6, 6, -9, 9, -4],\n [-3, 5, 10, 7, -5, 8],\n [-2, -10, 7, -8, -4, 10],\n [-9, 5, -8, 4, -7, 10],\n [3, 9, -1, -8, 10, -10],\n [2, -9, 6, -1, 8, -4]]\nB =\n[[6, -1, 1, 8, 3, -8],\n [-2, -4, -2, 4, -8, 7],\n [-4, -4, -8, 5, -4, 1],\n [-5, 7, -9, 5, -7, -3],\n [8, -7, 7, -6, -6, 4],\n [-1, -4, -6, 5, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3272", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, 8, 6, -1, -9],\n [-1, 9, -6, -8, 5, -8],\n [-5, 2, -8, 0, -1, 8],\n [5, -10, -5, -9, 7, -3],\n [-6, 2, -10, -3, -9, -10],\n [9, 5, 5, -6, 8, 10]]\nB =\n[[8, -10, -8, 1, -10, 8],\n [7, 0, 9, 2, 6, -10],\n [4, 8, -9, -3, 3, 0],\n [-10, -9, 2, -6, -3, 6],\n [-9, 4, 2, 3, 10, -10],\n [-4, -5, 6, -3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2401", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 7, 10, -10, -9],\n [-1, 1, 1, -7, 8],\n [7, 0, 5, 4, 5],\n [-6, -6, -9, -2, 8],\n [5, 8, 2, 5, 9]]\nB =\n[[3, -7, 4, 2, -8],\n [3, -2, -3, -9, -8],\n [7, -6, -8, 5, 9],\n [-10, 8, 1, -4, -4],\n [4, 7, 9, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 10, -4, -3, 4],\n [-3, 1, -9, -8, 9],\n [-4, 7, -4, -2, 3],\n [-1, -9, -10, -1, -9],\n [8, -1, 3, 9, -8],\n [8, 7, -9, -3, 8]]\nB =\n[[-5, 4, -5, 2, 3],\n [5, -5, 4, -1, 5],\n [1, -8, -7, -10, -2],\n [-7, -9, -4, -6, 8],\n [-7, 0, -9, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -9, 6, 4, 3],\n [-2, 8, -3, -9, 6],\n [1, 10, 5, -3, 4],\n [0, 8, -4, 9, -2],\n [7, -3, 0, -5, 2]]\nB =\n[[9, 9, 10, -6],\n [6, 5, -6, 9],\n [-8, -4, -2, 6],\n [-3, -5, 9, -7],\n [-10, -1, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 0, -8, 10, 3, 0],\n [6, -5, -6, -7, 5, -5],\n [7, 9, 7, -10, -1, 5],\n [-1, 8, -6, 0, 4, -6],\n [7, 1, -1, -8, -9, -1]]\nB =\n[[-8, -7, -7, 0, 0],\n [-1, -8, 8, -1, 10],\n [0, -2, 8, 5, -4],\n [9, 1, 2, -10, -1],\n [9, 7, -2, -10, -4],\n [3, 0, 8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -8, -4, 2],\n [-3, 1, -3, 5],\n [4, 3, 0, 9],\n [-6, 4, 0, -2],\n [0, 0, -4, 0],\n [-6, -8, -4, 8]]\nB =\n[[-9, -2, -8, -9, 6, 5],\n [9, 10, -5, 10, -4, 0],\n [3, 6, -2, 3, 10, 5],\n [6, -7, 6, -6, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-6, -1, -3, 7, -1],\n [8, 7, -3, 2, 3],\n [1, 8, 10, 3, -2],\n [4, 4, 10, -5, -4]]\nB =\n[[-7, 9, 4, -7],\n [9, 8, -6, -8],\n [-7, 3, -7, -10],\n [-5, -4, -4, 7],\n [-4, -9, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[1, -1, -9, -5, -2, -6],\n [5, 1, -4, 8, -8, 3],\n [-5, 8, 9, 0, -5, 8],\n [-9, 1, 6, -5, -8, 6],\n [7, 4, 4, -5, 3, -5]]\nB =\n[[8, -5, 1, -6, -7, -4],\n [-7, 5, -1, -9, 8, -6],\n [-2, -6, 5, -4, 8, -4],\n [8, -5, -10, -10, -6, 3],\n [9, -9, 7, 4, 5, -2],\n [-7, -3, -2, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, 10, 10],\n [-7, 8, -9, 0],\n [0, -1, -5, -9],\n [-2, 8, 0, 10]]\nB =\n[[-9, 8, -4, 2, -5],\n [4, 7, -1, -5, 0],\n [0, 6, 8, -1, -10],\n [3, 8, -2, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-7, 3, 9, 6, 5],\n [-1, -9, -2, -4, 3],\n [0, -2, -10, -7, -10],\n [-1, -9, -3, -9, 3]]\nB =\n[[-4, 9, 6, -5, -10, 6],\n [-2, 8, 5, 9, -7, -4],\n [-3, 10, -1, -6, -6, -6],\n [-3, 5, 9, -7, 10, -5],\n [-8, 3, 3, 10, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -4, 5, -8, 1],\n [-4, -5, 0, 8, -2],\n [-7, 6, -5, 4, -7],\n [-10, -6, 7, -4, -6]]\nB =\n[[-9, -7, 0, 2],\n [-3, -2, 3, 9],\n [4, -6, 7, 7],\n [2, 6, -10, -6],\n [-4, 5, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, 9, 4, -2, -1],\n [-5, -9, 9, -9, 4, -10],\n [-6, -4, 1, -6, 9, 0],\n [3, -4, 7, -1, 5, 2],\n [-4, -7, -7, 4, -9, 1]]\nB =\n[[7, 0, -6, -2],\n [1, 3, 3, -4],\n [9, -1, 4, 10],\n [-1, 5, -3, -10],\n [-1, -4, -9, 8],\n [6, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 5, 10, -5, 10],\n [4, 1, 0, -7, 10],\n [-9, -6, 3, -4, -5],\n [-8, -3, 7, -10, 8]]\nB =\n[[-7, 4, -10, 0],\n [7, -5, -7, 7],\n [-6, 1, -8, -9],\n [-2, -4, -5, -3],\n [9, -1, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -9, -8, -4, 2],\n [1, -4, -1, -3, 4],\n [0, -2, 1, 8, -7],\n [10, 1, -8, 9, 10],\n [1, 6, 9, -7, 1]]\nB =\n[[3, -2, 7, -3, -3],\n [9, -9, 7, 1, -10],\n [-4, -9, -6, 6, -4],\n [5, -7, 9, 5, 2],\n [8, 8, 5, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "569", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 8, 10, -3],\n [4, -1, -10, -9],\n [-7, -1, 9, 7],\n [5, -4, 5, -6],\n [-1, 10, 10, -6],\n [-8, 7, 9, -2]]\nB =\n[[6, 4, 0, 10, 0],\n [0, 2, 8, 3, -7],\n [10, 9, 3, 3, 2],\n [3, 4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 3, -7, 1, 2, 5],\n [9, -10, 6, 1, -7, -4],\n [5, -3, 6, 0, 7, 4],\n [9, -5, 3, -2, -7, -5],\n [-1, -6, 4, 10, -4, -1]]\nB =\n[[-7, -6, -3, 3, 9, 5],\n [1, -2, 10, 3, -9, 6],\n [7, -5, 10, -3, -8, -5],\n [-8, -5, 10, 8, -8, 0],\n [-9, 8, 1, -6, -7, 5],\n [3, -7, 8, 9, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1877", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, 5, 7, -4, -5],\n [9, -2, -7, -1, -6, -5],\n [-9, 1, 9, -4, -2, 9],\n [1, -5, 2, -10, 7, 10],\n [0, 3, -4, 0, 7, -6],\n [-1, 3, -10, -2, 10, 10]]\nB =\n[[8, 0, 3, -2, 6, 2],\n [-6, 2, 10, 3, -4, 6],\n [3, 9, 8, 2, -1, -5],\n [6, 1, -2, 9, 0, -2],\n [0, 4, 2, 7, -10, 1],\n [-10, -3, -6, 9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 10, 5],\n [-3, -6, 2, -6],\n [0, -10, -7, 10],\n [-6, -4, 5, 0],\n [4, 4, 0, -7]]\nB =\n[[7, -1, -3, -9, 5, 8],\n [9, -4, 7, -1, -1, -10],\n [8, -1, -7, 2, -8, -10],\n [-3, 3, 6, -6, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1656", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[5, -2, -7, 6, 0],\n [-8, 3, -6, 10, -6],\n [4, 5, 0, 10, 9],\n [1, -8, 10, 0, -4]]\nB =\n[[-5, 6, 2, 1, -1],\n [9, 4, -4, -10, -2],\n [5, 8, 7, 2, -6],\n [-9, -2, 1, -10, -7],\n [1, -10, 9, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 1, 5, -3],\n [9, 4, -8, 4, 6],\n [-7, -7, 9, -3, -3],\n [-9, 6, 7, 3, 8],\n [-5, 7, -3, -5, -6],\n [10, -2, 6, -4, -2]]\nB =\n[[6, -9, -3, -4, -1, -7],\n [-2, 7, -3, -9, -2, 10],\n [-4, 0, 3, -8, 2, -3],\n [-5, -6, 2, -1, -7, 5],\n [1, 0, 8, -6, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, 6, -10],\n [7, 9, -10, 2],\n [2, -2, -5, 9],\n [-1, -1, -4, -8]]\nB =\n[[10, 0, 4, -2, -2],\n [2, 10, -9, -7, 10],\n [-10, 9, -2, -4, -1],\n [-1, 9, 8, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -8, 4, 10],\n [8, 3, 9, 9],\n [-5, 10, 1, -9],\n [4, 10, 10, -8]]\nB =\n[[-9, -3, 2, -4, -3],\n [4, -9, -9, -6, 0],\n [0, -8, 7, 7, -4],\n [3, 1, -7, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-440", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-8, 8, 8, 3],\n [-3, -1, -1, -2],\n [-8, -4, 4, 4],\n [5, 4, 1, -2],\n [7, -7, 3, -9],\n [10, 10, -1, 3]]\nB =\n[[1, -10, 0, 2],\n [1, 10, -8, -5],\n [-6, -6, -6, -7],\n [-3, 1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -9, 3, 8],\n [-6, 8, -5, -9],\n [3, 1, -9, 2],\n [8, 2, 9, -10],\n [1, 10, -8, -3]]\nB =\n[[-4, 4, -3, -2],\n [7, -6, 8, -3],\n [9, -8, -9, 5],\n [-4, 9, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-2, 6, -7, -10],\n [-7, -8, 5, -6],\n [-1, 5, 9, 10],\n [6, -2, -7, -3],\n [8, 10, -2, -7],\n [-1, 5, 0, -1]]\nB =\n[[-6, -5, 6, -2, 10, 0],\n [-2, -7, -10, -6, -1, -9],\n [4, 2, 0, -6, -2, -6],\n [-1, 9, -9, 6, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 2, -1, 6],\n [8, 8, 9, 2],\n [-2, 1, -1, 1],\n [-7, -4, -2, -6],\n [-10, -5, -9, -4]]\nB =\n[[2, -5, -1, 8, -8],\n [6, -4, 1, -3, 5],\n [2, 2, -5, 10, 3],\n [5, 6, -8, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1206", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-2, 9, -7, 1, 4],\n [-8, 0, 6, -10, 8],\n [3, -7, -7, 8, -7],\n [0, 4, -2, 0, 10]]\nB =\n[[8, 3, 3, -5],\n [-9, -1, 6, 2],\n [-3, -6, -8, 10],\n [1, 10, -4, 3],\n [6, -9, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -8, -2, -6, 6, 4],\n [10, 2, -7, -6, 8, -4],\n [7, 4, -4, -9, 1, -3],\n [2, -3, -6, 1, -1, 1],\n [3, -5, 10, -10, 9, -5]]\nB =\n[[-6, 6, -10, 5],\n [4, -6, -8, 4],\n [-3, -3, 1, -10],\n [1, -5, 8, -5],\n [-3, 7, 3, 7],\n [0, 10, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1663", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 8, 2, -7],\n [9, -8, -8, -10],\n [9, -5, 5, 8],\n [2, 6, 1, -10]]\nB =\n[[10, 8, 10, -4, -2, 0],\n [3, -5, 1, 1, 8, -6],\n [-10, 4, 3, 6, 4, 8],\n [8, -8, 2, -10, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "604", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 5, 5, -4, 0],\n [5, 9, 9, -8, 10],\n [0, -1, 5, 2, -9],\n [-6, 0, -4, -6, -4],\n [3, 10, 1, 10, -7]]\nB =\n[[-3, -9, 1, -2],\n [2, 8, 0, 7],\n [1, -1, -3, 6],\n [6, 6, 5, -4],\n [10, 5, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 0, -6, -8],\n [-4, -2, 2, 9],\n [-8, -1, 4, -5],\n [4, 0, -9, -9]]\nB =\n[[-8, 6, -10, -7],\n [-2, 1, 3, -1],\n [4, 3, 7, -3],\n [-5, -6, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 3, 2],\n [10, -7, 0, -10],\n [2, 10, -8, 7],\n [10, -5, 10, 3]]\nB =\n[[-5, -6, -8, 6, -6, -3],\n [6, 5, 8, -1, 6, 8],\n [2, -9, -3, 4, 1, 8],\n [0, -8, 5, -8, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 0, -9, 4],\n [-8, 4, -6, -4],\n [5, -10, 2, 10],\n [-3, -4, -9, -7],\n [-5, 4, -7, 7]]\nB =\n[[-8, -6, 9, 5, 5],\n [-4, -6, -8, -2, 8],\n [9, 4, 9, 10, -2],\n [-4, -8, -2, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 4, -2, -9, -8],\n [2, -9, -8, 0, -9],\n [10, -10, 7, 6, 4],\n [9, 7, -9, -10, -1],\n [-2, 3, -4, 6, 2],\n [5, 7, 6, -2, 2]]\nB =\n[[-7, -6, 8, 5, -7],\n [-6, 10, 5, 1, 8],\n [-3, -8, 8, -9, -3],\n [7, -2, 1, 4, 7],\n [-4, 0, -6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, 8, 2, 8, 1],\n [-7, 10, -3, 6, -2, -9],\n [-2, 2, -7, 6, 7, -8],\n [-8, -4, 7, -8, -6, 8],\n [-10, 7, 8, -9, -8, 7]]\nB =\n[[5, 4, 0, 1],\n [-7, -9, -10, -2],\n [-8, -10, -6, 2],\n [-9, 5, -5, 2],\n [-4, -2, -1, -7],\n [8, 7, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -2, 4, 6, 10, 0],\n [7, -10, 9, 6, -3, 10],\n [-4, 3, 0, 4, -6, -2],\n [-1, -2, 8, 1, -4, -2]]\nB =\n[[-10, 5, -2, -10],\n [4, 9, -9, 0],\n [-10, -5, 9, -6],\n [6, 9, -10, -2],\n [6, 10, 0, -9],\n [-9, 5, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1245", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -10, 2, -3],\n [6, 5, -4, 10],\n [10, 9, -5, -3],\n [1, -3, 0, 8]]\nB =\n[[-1, 4, 0, 9, 1, -1],\n [9, 4, -1, -7, 4, 0],\n [-5, 8, 0, -6, 10, -1],\n [-4, 7, 10, -8, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -9, -6, -10, -8, 4],\n [-1, -5, -7, -3, -4, -10],\n [-7, -4, 5, 8, -1, -7],\n [8, -5, 4, -9, -4, 1]]\nB =\n[[2, 6, -3, -8, 1, 1],\n [-6, 3, -7, 9, 10, -8],\n [8, -2, -7, 7, 1, 5],\n [-8, 1, 1, 1, -5, 4],\n [2, 5, -7, 0, 8, 10],\n [10, -2, 2, -8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 7, -5, 7, -9, 3],\n [4, 0, 9, -7, 10, -4],\n [-1, -9, 9, 9, 5, -6],\n [-4, 6, -6, -1, 3, -4],\n [5, 4, 4, -9, 5, 3],\n [-1, -6, -6, 10, 10, 1]]\nB =\n[[9, -2, 1, 6, -9],\n [7, 3, 5, -8, 0],\n [3, 6, 4, 0, -6],\n [-2, -4, 3, 4, -5],\n [3, 10, -2, 3, 0],\n [-2, 6, 1, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "445", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-5, -2, 7, 7],\n [-4, -3, -3, -10],\n [6, 7, -2, -3],\n [-2, 9, 1, 7],\n [6, -10, 4, -10],\n [5, -1, 2, -6]]\nB =\n[[0, 8, -1, -6],\n [4, -7, 8, -6],\n [2, -6, -2, -1],\n [-3, 8, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -5, -1, -4, -2, 3],\n [7, -3, -8, 2, 4, -2],\n [-3, -10, 0, -6, 0, 6],\n [-3, -10, 5, 5, -4, -3],\n [2, -7, 10, 1, 2, -1],\n [-10, 7, -6, 6, 9, -1]]\nB =\n[[8, 4, -5, 4],\n [-3, -5, -9, 8],\n [-6, -7, 8, -6],\n [0, 5, 9, -8],\n [-7, -10, 4, 6],\n [5, -9, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -2, 0, 5, 1, -9],\n [0, 7, -4, 7, -1, 10],\n [0, 3, 0, 1, 7, -9],\n [0, 5, -7, 5, -1, -5]]\nB =\n[[9, 6, -7, 3],\n [-6, -5, 10, 9],\n [-9, -10, -6, -3],\n [3, -10, 6, -9],\n [-4, -6, -10, 8],\n [-6, 10, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1075", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -8, -9, 2, 1],\n [-9, 4, -9, 5, -2],\n [-6, 3, 0, -5, 4],\n [5, 0, 5, 7, -1]]\nB =\n[[10, -5, 0, 1],\n [-5, -2, 3, -8],\n [-8, 6, -4, -4],\n [1, 5, 8, -8],\n [6, -1, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, 2, 7],\n [-1, -7, -10, -5],\n [10, 0, -1, 8],\n [-8, -1, -2, -7]]\nB =\n[[-2, -3, -3, -1],\n [6, 7, -2, 2],\n [-7, 6, 9, 7],\n [-7, 3, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -1, -2, -1],\n [5, 9, 0, 0],\n [-10, 9, 5, -5],\n [-5, 5, -10, -1],\n [5, 9, -7, -5]]\nB =\n[[-7, 3, -1, 4],\n [8, 1, -9, 5],\n [-4, -7, 2, -3],\n [2, 3, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-6, 6, -3, -1, 9, -5],\n [8, 4, -7, -1, -3, 5],\n [5, -5, -2, 1, 1, 1],\n [10, 7, -7, -5, 4, 0]]\nB =\n[[4, 8, -3, 0],\n [1, -9, 4, -8],\n [-3, -5, 9, 7],\n [3, -4, 10, 10],\n [5, -8, -1, 8],\n [0, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, 3, -4],\n [8, -8, 4, 8],\n [1, 4, 1, 1],\n [-2, 0, 6, 9]]\nB =\n[[3, -5, 10, -4, -5, 8],\n [1, 0, 4, 8, 6, -2],\n [-10, 9, 5, -2, 7, 3],\n [-8, -8, 4, -10, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 4, 0, -2, -5],\n [-7, -4, 2, 7, 3],\n [9, 6, 1, 7, -2],\n [4, 4, 3, -5, 6]]\nB =\n[[8, -5, -3, -3, -3, 7],\n [-9, -5, -9, 0, -2, 10],\n [-9, -3, 5, 4, 9, 1],\n [10, 2, 4, -2, 5, 3],\n [5, 10, -3, -8, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -9, 8, 8, 3],\n [2, 7, 5, 2, 6],\n [9, 9, 2, 3, 1],\n [-1, 9, 0, 3, 1],\n [5, -5, 6, 6, -4]]\nB =\n[[-4, 2, -8, 5],\n [7, 10, 7, -3],\n [3, 10, -3, -9],\n [-8, 2, 3, -10],\n [-10, -4, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-10, -10, -7, -1, -5],\n [-7, 9, -9, 5, -8],\n [1, -7, 1, 2, 1],\n [-7, -3, 3, -1, 7],\n [9, -9, 5, 10, 5]]\nB =\n[[-5, -5, -3, -1, 5, 8],\n [4, -5, 4, 6, 2, 5],\n [5, 0, -7, -8, -6, -2],\n [5, -4, -6, 3, 4, 10],\n [5, -8, 6, -5, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -3, -5, 0],\n [-8, 0, -3, 0],\n [-6, -4, -10, 0],\n [-4, 8, 0, -4],\n [-10, 9, 0, 7]]\nB =\n[[-9, 5, -6, -2, 7],\n [3, -8, -2, -10, 2],\n [1, -1, -2, 6, -7],\n [-10, -2, -6, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -2, -7, -8, -7, 6],\n [9, -7, -3, -5, -9, -7],\n [9, 5, 4, 2, -1, 5],\n [-5, 10, -1, -10, -6, -7],\n [7, -10, -6, -5, 4, 4],\n [4, 9, -9, 10, -8, 7]]\nB =\n[[9, 6, -7, 9],\n [-1, -1, -6, -8],\n [-3, 10, -5, 8],\n [-1, 7, 9, 10],\n [6, 7, -3, 0],\n [10, -10, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-626", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[0, 10, -8, 8],\n [-9, 9, 8, -5],\n [-6, -6, 6, 6],\n [7, -8, -8, -5],\n [5, 5, 0, -1],\n [-7, -9, 8, -10]]\nB =\n[[-1, -8, -3, 8, 1, 8],\n [-2, 3, 1, -8, -6, -7],\n [7, 9, -2, 10, 3, 10],\n [7, 0, 7, 6, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, -8, 4],\n [6, 6, -10, -8],\n [0, 9, 1, 2],\n [2, -9, 1, 2],\n [-10, 10, 0, 1]]\nB =\n[[-4, 7, 4, 0, -8, 3],\n [-3, 4, 4, -6, -5, -9],\n [10, -7, 2, -5, 2, 0],\n [-10, -10, 7, 1, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1357", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -2, 5, 5],\n [-4, -9, 8, 4],\n [-10, -9, -5, -8],\n [-10, 6, -4, 9],\n [-3, 7, 0, 10],\n [-9, -7, 0, 8]]\nB =\n[[0, -8, 1, -5, -4],\n [8, -4, -5, 8, 5],\n [-2, 4, -5, -7, -1],\n [8, -3, -9, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -5, -3, 9, 6],\n [-4, -8, -9, 6, -9],\n [8, 2, 5, 6, -9],\n [2, -7, 10, -9, -7],\n [10, 9, 3, -3, -1]]\nB =\n[[1, -7, 5, -1, 6],\n [-1, -5, -7, 3, 1],\n [7, -6, -4, -3, -1],\n [9, 2, -7, -9, -1],\n [-10, -4, -1, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 1, -5, 2, 9, -4],\n [-7, -8, 7, -7, 10, -4],\n [-5, -6, 1, -3, 7, 2],\n [-2, 0, -2, -2, -6, 5],\n [-3, -7, 0, 6, -3, -3],\n [-4, 4, -8, 2, 9, -3]]\nB =\n[[-8, 3, 3, -5, -5],\n [4, -1, -4, 5, -5],\n [-10, -8, 6, 3, -7],\n [-6, -2, 10, -5, -3],\n [1, 0, -4, -7, 4],\n [-8, -6, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -10, -4, 7, -4, 8],\n [-10, -3, -4, 0, -8, -10],\n [10, 9, 5, 2, 10, -10],\n [-5, -3, 2, 4, -1, -3],\n [-6, -7, -8, 3, 9, 2]]\nB =\n[[-2, -7, 8, -3, -8],\n [-2, 8, 6, -3, -2],\n [-7, -1, -7, 10, -9],\n [6, -7, 9, -10, -8],\n [2, 10, 8, 1, -10],\n [-10, 4, -6, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1968", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -7, 10, 4],\n [5, -7, 9, 3],\n [-9, -9, -3, -7],\n [4, 7, 3, -2],\n [10, -8, 7, -7]]\nB =\n[[9, -9, 7, -4],\n [9, -5, -4, -4],\n [-9, 9, -3, 5],\n [-3, -10, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 3, 7, 9],\n [0, 7, 8, 6],\n [8, -3, -7, -4],\n [7, 10, -9, 7],\n [-10, -8, 2, 8]]\nB =\n[[-4, 0, -4, 0],\n [5, 3, 2, -8],\n [2, -9, -2, -6],\n [-9, -9, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-883", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -3, -3, 10, -1, -4],\n [-10, 8, 8, 2, -6, 5],\n [-10, 10, -2, 5, 5, -3],\n [3, 3, -1, -2, -10, -1],\n [-2, -7, -6, 7, -7, 6],\n [-5, -10, 10, -6, 2, -9]]\nB =\n[[6, 9, 9, 10, 0, 2],\n [9, -3, -5, 8, 8, -5],\n [-3, -10, 3, 3, 8, 3],\n [7, 9, -2, 8, 8, 8],\n [-5, -2, 7, 9, 10, 5],\n [-2, 3, 1, 3, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -1, -6, 9, 8, -7],\n [-8, -1, 10, 5, 7, -10],\n [0, 8, 8, 8, 1, -5],\n [6, 4, 8, 0, 8, -3]]\nB =\n[[1, -2, 1, 5, -4, 10],\n [0, -1, -10, 1, 6, -1],\n [-6, -7, 5, -4, 3, -2],\n [10, -9, -6, 0, 9, -10],\n [5, -6, 9, -9, 5, -2],\n [-6, -6, 6, -10, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1907", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 5, -1, 3],\n [3, -9, 5, -1],\n [2, -4, -8, -6],\n [9, -4, 10, 5],\n [-7, 10, 3, 9]]\nB =\n[[-2, -1, 10, -4],\n [1, -6, 0, 5],\n [-1, 8, -7, 7],\n [-8, -2, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, -9, -10, 5],\n [-6, 4, -2, 9, 3],\n [-2, 1, -7, 2, -6],\n [10, 1, -4, -7, -3],\n [-8, -8, 10, -9, 3],\n [5, -10, -4, -7, -5]]\nB =\n[[-8, 0, 2, -2],\n [-4, -5, -1, 0],\n [4, 3, 0, -10],\n [-6, -4, -10, 1],\n [-5, -9, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 9, 1, -4],\n [-10, 4, -8, 4],\n [0, 3, 6, -6],\n [8, -1, 9, 0],\n [-4, 6, -2, -10],\n [5, 4, 2, 1]]\nB =\n[[-1, -10, -5, -1, 10, 1],\n [5, 4, -7, 2, 9, 0],\n [-4, 5, -10, 9, -2, 9],\n [5, -2, 3, 4, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -1, 9, 9],\n [-10, -1, -1, -3],\n [-8, 5, 3, -4],\n [-6, 10, 1, -8],\n [2, 7, -3, -5],\n [-9, -8, -10, 6]]\nB =\n[[-7, 4, -5, -7, -2, -9],\n [-4, -2, 3, -6, -5, 10],\n [-6, -10, 1, -9, 1, -1],\n [5, 5, -6, -3, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2068", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -10, -6, 3, 5],\n [-6, -10, -10, 3, 5],\n [8, -1, -4, -8, 0],\n [9, 2, -3, 1, 3]]\nB =\n[[-7, 0, 6, -2],\n [-8, 5, 1, 4],\n [10, 0, -10, -3],\n [6, 2, -3, 10],\n [5, -8, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1021", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, 4, 8, -1, -2, -4],\n [4, 8, 1, -9, 10, -1],\n [-10, -10, -3, 1, 1, -4],\n [-6, 10, -4, 2, -10, -8],\n [10, -6, -2, -1, -5, -9],\n [5, -2, -4, 3, -5, -4]]\nB =\n[[8, -4, -2, -4],\n [10, 10, -5, 2],\n [3, -4, -2, 4],\n [3, -8, 10, 9],\n [-3, -7, 10, -4],\n [0, -7, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[1, 8, 7, 0, 1, -2],\n [7, 8, 9, -7, 1, -8],\n [-2, -8, -1, -6, -2, -4],\n [4, 9, 0, 5, 4, 10]]\nB =\n[[-2, 8, 3, 1],\n [8, 5, 5, -6],\n [-5, 1, 4, 3],\n [10, 4, -8, 2],\n [-4, 9, 10, -4],\n [3, -1, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[6, 1, -5, -5, 1, 6],\n [-10, 6, 3, -6, 1, 5],\n [9, 10, 6, 10, -2, 4],\n [7, -4, 2, 9, -10, -2],\n [-1, 9, 7, 1, -1, 7],\n [7, -4, 7, -1, -3, 8]]\nB =\n[[-5, 3, 4, -1, 8, -5],\n [6, 6, -3, -9, 0, 2],\n [-4, -5, -3, -9, -1, 0],\n [-1, 10, 7, -7, 8, -7],\n [1, -5, 4, 4, -4, -4],\n [2, 8, 10, 4, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, 4, 3, 2, 7],\n [2, 6, -8, -6, 1, -9],\n [-9, 2, -1, -4, 3, 8],\n [4, 8, -7, -8, -3, 0]]\nB =\n[[8, 4, 3, 5, -1],\n [-8, -3, 0, -3, 7],\n [-6, -7, 3, -4, -1],\n [-5, -8, 3, 3, -5],\n [6, 5, 6, -10, -9],\n [-1, 5, -2, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[9, -3, -5, -3],\n [-9, 0, 7, 9],\n [1, 5, -1, -8],\n [4, 1, 7, 5],\n [1, 9, -2, 1]]\nB =\n[[6, -3, 2, 8, 4, -1],\n [-8, 9, 2, -2, 4, -5],\n [-5, 4, -2, 6, -10, 4],\n [-7, -5, -2, 7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 6, -2, -8, 9, -4],\n [6, -1, 7, -1, -9, 5],\n [-4, 2, -3, 1, 9, -4],\n [6, 0, -2, -3, 10, -10],\n [6, 5, -5, -10, 1, 9],\n [3, 6, -6, 5, 7, 4]]\nB =\n[[-10, 2, -9, 3],\n [-8, -5, 4, 8],\n [9, 5, -5, -2],\n [-2, 8, -1, -5],\n [3, -7, 0, -8],\n [-3, -6, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1609", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 2, -6, 2, 5],\n [9, 2, 2, -4, -2],\n [8, -10, 6, 2, -9],\n [2, 5, -9, -4, -1],\n [-3, 1, -8, -8, 2]]\nB =\n[[-5, 4, 2, 0, -2, -10],\n [-4, -9, -2, 6, 9, 5],\n [-4, -3, -4, -9, -6, 4],\n [-9, -5, -1, -10, 3, 5],\n [-7, -10, -10, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 1, -6, -8, -8, -1],\n [9, -10, 10, -4, 6, 7],\n [-4, 10, -5, 4, 7, -2],\n [-3, 4, -2, -7, 3, 0],\n [1, 9, 10, -8, -6, -8]]\nB =\n[[1, 6, 10, 3, -9],\n [-9, 9, -6, -2, 4],\n [-5, 5, 6, 4, -1],\n [8, -2, 5, -1, 8],\n [3, 10, 6, -10, 1],\n [-9, 5, 6, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 2, -7],\n [7, -5, 3, 4],\n [-1, -7, -3, 2],\n [9, 2, 1, -4]]\nB =\n[[8, 3, 2, -3],\n [-3, 2, -4, -7],\n [9, 6, 4, -2],\n [5, 4, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-2, 9, 3, 10, -4, -5],\n [-9, -10, 7, -2, -1, -4],\n [4, 1, -7, 1, -3, -5],\n [0, -1, -7, 6, 1, 1],\n [5, -1, -9, 2, 3, -10]]\nB =\n[[5, 9, 5, 0, 9, -3],\n [-1, -6, -2, 5, 1, 0],\n [8, 3, -5, -9, -3, 3],\n [-9, 8, -6, 3, -1, 9],\n [-5, -3, 6, -3, 4, -7],\n [1, 5, -10, 0, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 4, 10],\n [2, 3, -9, -10],\n [2, -6, 10, -5],\n [7, -6, -4, 9]]\nB =\n[[-2, -7, -7, -1, 4],\n [-6, -7, 8, -4, -3],\n [-9, 3, -6, -1, -7],\n [4, -10, -8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[9, 3, 4, -7],\n [-8, 1, -1, 9],\n [-2, 8, 9, 5],\n [9, 10, 6, 7],\n [4, 4, -9, -5],\n [-10, -7, -9, 7]]\nB =\n[[-8, 1, 8, 0, -5],\n [-7, 6, -9, 5, -9],\n [2, 7, 5, 9, -10],\n [6, 1, -7, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -7, 7, 9, -6, -7],\n [-5, -7, 10, -1, -5, 8],\n [8, 7, -7, -5, 8, 7],\n [-7, 6, 2, -3, 9, -6]]\nB =\n[[6, -1, -8, -6, -1],\n [-4, -6, -5, -2, -9],\n [-4, -9, -3, -7, 3],\n [7, -7, -7, -3, -1],\n [-5, 6, 1, 4, 8],\n [7, 10, -4, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[1, 1, 6, 3],\n [-2, -8, 0, 5],\n [2, 4, -4, 5],\n [-4, -8, 9, 0],\n [7, 3, -1, -1],\n [0, 0, 2, -8]]\nB =\n[[-2, 8, 3, -6],\n [6, -5, 3, 9],\n [6, -8, 9, 8],\n [6, 5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -6, 0, -9, 8],\n [-8, 0, 2, -2, 9],\n [0, 4, 8, -3, 3],\n [-5, -6, 7, -4, -7],\n [0, 10, -7, -6, -9],\n [2, 1, 6, -2, 9]]\nB =\n[[9, 3, -3, 7, 4, -3],\n [9, -7, -1, -5, -4, 10],\n [2, -1, -2, -6, 1, -2],\n [-4, 7, -5, 5, 3, 5],\n [3, 0, 0, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-7, 0, -9, 10],\n [-5, 6, -7, 7],\n [4, 6, 5, 2],\n [4, -9, -6, -9],\n [7, 5, -1, -2]]\nB =\n[[-1, -1, 1, 8, 1, -3],\n [-6, 2, 4, 0, -5, -4],\n [2, -10, 1, -2, 8, 7],\n [2, 4, 8, 1, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 3, -3, 0, 0],\n [-1, 0, 9, -1, 10],\n [5, 9, -3, 3, 1],\n [-3, -8, -10, -6, -9]]\nB =\n[[-6, -4, -2, 2, 9, -5],\n [-7, 1, 4, 0, 4, 4],\n [5, 9, 3, -10, -1, 9],\n [8, 6, 1, -9, 1, 0],\n [7, -9, 10, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1295", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-10, 8, 9, 4],\n [-10, -4, -3, 3],\n [7, -5, 7, 2],\n [-6, -3, -6, 0],\n [9, 3, 6, 5],\n [4, 2, 2, 6]]\nB =\n[[-8, 6, -2, 8],\n [6, 7, 0, 9],\n [3, -7, 9, 0],\n [3, 4, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 2, 7, 5, 7],\n [-8, -7, -1, -6, 10],\n [4, -8, -5, 8, -4],\n [-9, 7, 7, 4, -1],\n [2, -6, -9, 3, 2],\n [-5, -6, 5, -8, 8]]\nB =\n[[3, 1, 9, 3, -10],\n [7, -10, 8, 7, 0],\n [-6, -8, -4, -8, 6],\n [7, -6, -5, 1, 4],\n [-7, -8, 4, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2322", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -3, 9, 2, 4, 5],\n [9, 3, -6, -6, -3, 8],\n [3, 5, 0, 3, 3, 10],\n [-7, 1, -10, 6, -5, 2]]\nB =\n[[-1, -2, -7, -10, 4],\n [4, -10, -2, -8, 5],\n [-2, 6, -6, -8, 5],\n [1, 3, -5, -4, 10],\n [-8, 10, -6, -1, -2],\n [-3, 3, 5, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1233", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 10, 6, 3, -4],\n [6, -9, 2, -2, 2],\n [8, 8, -9, -8, 6],\n [2, -6, -10, 4, -7],\n [-7, 10, -6, 1, -10]]\nB =\n[[-5, -5, 0, -4],\n [3, -2, 9, 0],\n [8, 9, 9, -6],\n [-2, -1, -6, 0],\n [-1, -3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[7, -4, -2, 0, 4, 0],\n [-4, 1, 7, 6, -9, -2],\n [4, -7, -4, -9, -8, -10],\n [2, -4, 4, -8, 1, -10],\n [1, -7, -10, -2, 8, -1],\n [6, 4, 8, 0, 2, -2]]\nB =\n[[5, -4, -8, 4, -8, 1],\n [5, -1, -7, -8, 2, 8],\n [1, 4, -9, 0, 6, 6],\n [-2, 10, 7, -4, 7, 1],\n [-4, 10, -1, -8, -5, 3],\n [0, 1, 6, -5, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, -7, 8, -8],\n [-3, -9, -7, 2, 5],\n [-1, 6, -1, -2, 8],\n [-8, 10, 6, -10, -10],\n [6, 10, 0, 0, -5],\n [5, 8, 5, -9, -2]]\nB =\n[[-4, -4, -10, -5, 0],\n [9, -2, 6, -10, -6],\n [6, -3, 5, -9, -2],\n [-1, -5, 4, -6, 5],\n [7, -3, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 6, 8, -4, 0],\n [5, -5, -9, 6, 9],\n [-10, -3, 3, 3, -2],\n [-6, -2, 0, 0, 1]]\nB =\n[[8, 10, 9, 6, -7, 0],\n [6, -2, -7, 3, 5, 1],\n [-4, 6, -7, -9, -2, -3],\n [-3, 1, 3, 1, 9, 6],\n [10, 0, 4, 2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -9, -10, -4],\n [-9, -4, -6, 6],\n [-6, 8, 2, 4],\n [-4, 4, 8, -2]]\nB =\n[[9, 9, 6, -2, 3],\n [-4, 10, 6, -1, -5],\n [-5, 10, 4, 8, 10],\n [4, -7, 5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1365", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[10, 6, 1, -9, -5, -9],\n [-8, -6, -10, -6, -1, -7],\n [-1, 2, -6, -1, -4, 10],\n [-1, -10, 0, -2, 7, -3],\n [-3, -1, 1, 5, -3, -7],\n [-2, 8, 1, -4, 2, 3]]\nB =\n[[-10, 8, 7, 9],\n [7, -6, -5, -8],\n [1, 4, -4, 3],\n [-3, 6, -10, -3],\n [0, 6, 10, 0],\n [3, 1, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -2, -9, -1, 7],\n [10, -2, -4, -9, -3, -6],\n [10, 0, -5, 3, -4, -7],\n [-10, -7, -3, 5, -1, -10],\n [-2, -3, 1, -10, 10, -10]]\nB =\n[[1, -1, -5, 8, 9],\n [-3, -7, -5, -10, 3],\n [3, 6, 8, 8, -8],\n [7, 5, 0, 1, 0],\n [-2, 5, 5, 6, 8],\n [1, -6, 2, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, -9, 9, -6],\n [-9, -7, -5, 10, -3],\n [-7, 0, 6, 1, 4],\n [5, 7, 0, 10, -8],\n [3, 1, 5, -6, 9]]\nB =\n[[10, -5, -6, 3, -9, -6],\n [2, 5, 1, 8, -10, 5],\n [9, -5, 9, 8, -8, -4],\n [4, -1, 7, 2, -1, -3],\n [-4, -8, -5, 6, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 3, 7, 7],\n [-2, 8, 6, 7, -1],\n [3, 10, -6, -3, -3],\n [-8, 10, 8, 5, -4],\n [3, -9, -9, -6, 8]]\nB =\n[[0, 5, -10, -7, 0, 8],\n [-3, 1, 4, -10, -9, -3],\n [-10, -10, -4, 1, 6, -3],\n [7, 6, -6, -5, 3, -6],\n [0, 4, -8, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-625", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-4, 6, -10, -1, 3],\n [-10, -4, 5, 9, 7],\n [2, -2, 3, 9, -2],\n [-7, 10, 5, -7, 2]]\nB =\n[[7, 0, -2, -1],\n [7, -3, -1, 10],\n [1, 5, -1, -10],\n [7, 5, 7, -4],\n [8, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, -7, 4, -10],\n [9, 2, -6, -10],\n [-7, 1, 10, -3],\n [-8, 5, 6, 7],\n [2, 3, -8, -1]]\nB =\n[[-7, -9, 8, 1],\n [10, 5, 9, 2],\n [-5, 0, -4, -3],\n [8, 2, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 5, -10, -9, -8],\n [-6, 4, 4, -10, 10],\n [-3, 9, 8, 1, 6],\n [7, 5, 1, 9, -9],\n [4, 1, 2, 10, 10],\n [2, 4, 3, -1, -8]]\nB =\n[[3, 8, -4, -7, 3, 3],\n [1, 4, 8, 5, 7, 10],\n [-7, 6, 8, 7, 1, -8],\n [-5, 10, 3, 7, -9, 10],\n [-1, -2, 5, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -7, -3, 8, 0, 8],\n [-8, -4, 8, 10, -9, -10],\n [-8, -6, 10, -7, 8, 2],\n [-1, 6, 0, 3, 0, -4],\n [0, 3, 1, 4, 2, -9],\n [-3, -5, -7, 0, -5, -8]]\nB =\n[[8, 1, 10, -2, 0],\n [1, 4, -4, -3, -7],\n [1, -9, 3, -1, 7],\n [-5, -6, -1, -4, -2],\n [10, 0, 7, -1, 1],\n [-7, 7, 10, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-848", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 5, -5, 8, 7, 10],\n [0, 2, -6, 4, -8, -3],\n [-9, -10, -7, 1, -4, 5],\n [-4, 6, 9, 2, 2, 4],\n [0, -3, -3, 5, 9, 6]]\nB =\n[[1, -5, 3, 3, -3, 0],\n [-6, -9, 9, 3, 7, 7],\n [8, 8, -9, -9, -3, 0],\n [10, 10, 0, -1, 9, -10],\n [0, -2, 6, 1, -4, 1],\n [3, -6, -9, 6, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 6, -1, 10, -2],\n [4, -6, 1, -3, 9],\n [10, 7, 2, 0, 2],\n [0, 5, 4, -8, -10],\n [-1, -6, -8, -5, 6],\n [-5, -10, -9, 9, 10]]\nB =\n[[10, -7, -8, 3, 4, 8],\n [-7, -6, -4, -5, 5, 9],\n [4, 5, 5, -2, 0, 4],\n [0, 5, 5, 1, 6, 5],\n [-4, -2, 4, 3, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -3, 8, 6],\n [-1, 5, 1, 0],\n [-10, 1, 4, -10],\n [8, 2, 9, 3],\n [-3, 0, -2, 7],\n [1, 3, 7, 7]]\nB =\n[[-5, -7, 9, -4, 6, -6],\n [5, 6, 5, -2, 4, -1],\n [-6, 0, 4, -4, 0, 2],\n [-3, -4, -4, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1516", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-3, 5, 4, -8, -10],\n [-10, 8, -1, -10, 3],\n [-9, -3, 0, 10, -1],\n [5, -2, -2, -6, -8],\n [5, -5, 10, 1, 2]]\nB =\n[[4, -8, -2, 0],\n [-4, 0, 8, 10],\n [-9, 5, 5, 1],\n [7, 3, -2, 8],\n [-5, -7, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 10, 4, -8, 9],\n [5, -2, 6, -2, 5],\n [-8, -7, 4, 5, -8],\n [1, -8, 1, -1, -9],\n [7, -7, -9, 4, 2]]\nB =\n[[-3, 6, -9, 5, 2],\n [5, 7, 7, 8, -2],\n [-4, 8, -2, -3, 3],\n [3, 2, -8, -6, -7],\n [3, 1, -6, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1375", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -5, 8, 9],\n [3, -9, 8, -5],\n [1, 7, 2, 9],\n [7, 8, -4, 7],\n [9, -7, -2, 3],\n [0, 10, -8, 9]]\nB =\n[[1, -9, -10, -7, 2],\n [-3, 10, -3, 10, 0],\n [1, -4, 6, -10, 10],\n [8, 6, -5, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 10, 0],\n [6, -9, -8, 4],\n [-5, -1, 6, -10],\n [-9, 6, -6, 9],\n [5, -9, -1, 7],\n [5, -3, 7, 9]]\nB =\n[[-5, -1, -1, 0, 8, -6],\n [4, 10, -2, -3, 9, 5],\n [1, -7, 8, 9, 5, -7],\n [1, 10, -5, 7, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 9, -2],\n [6, 8, -3, 10],\n [-9, 2, 2, -1],\n [-8, -5, -7, 2],\n [-5, 4, -2, -7],\n [5, 10, 9, -8]]\nB =\n[[2, -5, 10, 9],\n [-5, 4, 7, -8],\n [-7, -9, -8, 7],\n [-5, 9, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1698", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, -3, -10, -5, 8],\n [10, 6, -2, 9, 6, 8],\n [-2, -3, 9, 3, -1, 5],\n [7, 5, 8, 8, -4, -3],\n [4, 1, 7, -2, 3, 7],\n [-8, -8, -9, 3, -2, -7]]\nB =\n[[-7, -7, 8, -5, -6],\n [2, -10, 6, -10, 5],\n [9, 6, -7, 2, 8],\n [-3, 10, 3, -8, 5],\n [-2, -7, 9, -10, 0],\n [9, -10, 0, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 1, -7, 5, -9, -1],\n [-6, 2, 0, -8, 8, 8],\n [0, -2, -6, 2, 0, 7],\n [-6, -6, 10, 9, -6, -3],\n [7, -8, 9, 7, -4, 7]]\nB =\n[[1, -10, 0, -10],\n [6, 7, -9, 4],\n [6, 9, 5, -8],\n [8, 7, -1, -3],\n [10, -5, 2, -7],\n [4, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[5, 0, 2, -7, -4],\n [-10, -5, 8, -6, 9],\n [-7, 10, -9, -3, -1],\n [-7, 2, 0, -4, -10]]\nB =\n[[10, 0, 9, -3],\n [-3, -10, -9, -7],\n [-2, 7, -8, 9],\n [4, 1, 5, 3],\n [-2, 10, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, -6, -1, 9, -1],\n [-2, 8, 2, 7, 8, -2],\n [2, 5, 2, -8, 8, 2],\n [-8, 7, 5, -9, -3, -6],\n [9, -9, 7, 1, 1, 7]]\nB =\n[[-3, 10, 2, -5, 7],\n [6, -3, -8, 5, 0],\n [5, -1, -4, -4, -10],\n [-2, 7, 8, -2, 9],\n [-6, 10, -10, -2, 9],\n [7, -1, -3, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 4, -3, -4, 6],\n [4, 0, -10, -8, -7],\n [-2, -1, 8, 5, 5],\n [-1, -8, 9, 4, -9]]\nB =\n[[-3, -2, -4, 9, 2, 7],\n [-10, -10, 6, -5, -10, 5],\n [7, 3, -8, -8, 4, 10],\n [2, -8, -2, 6, 2, 6],\n [1, -8, -6, 7, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 8, 0, -7, -2],\n [9, -10, 10, -10, 0],\n [6, 2, -7, -3, 10],\n [5, 6, -10, 0, 0],\n [3, 1, -5, -3, -6]]\nB =\n[[-10, 9, -8, 5, 3, -4],\n [5, -8, -4, -2, -3, -9],\n [6, 0, 9, -1, -10, 10],\n [1, 1, 9, -8, 2, 1],\n [0, -1, 4, 9, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 9, 1, -5],\n [-2, -2, 4, 0],\n [6, 9, 4, 7],\n [6, -3, -3, -5],\n [8, -7, 9, -7]]\nB =\n[[-10, 4, -8, 0, 5, -8],\n [1, 10, -4, 10, -5, -6],\n [-5, 6, -10, 10, 7, -5],\n [2, 3, 4, -7, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1747", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -5, -10, 10, 4],\n [-9, 3, -2, -10, 10],\n [-2, -1, -7, 0, 2],\n [-9, -9, 3, 8, -4],\n [1, -4, -4, 0, 8]]\nB =\n[[2, 7, 6, 0, -9],\n [-5, -6, 6, 7, -2],\n [8, -9, 8, 9, 1],\n [5, -6, 6, -7, -4],\n [-9, 9, 0, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2084", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 3, -1, 8, 7, -3],\n [-9, 3, 7, -3, -7, -7],\n [-2, 1, -8, 0, 6, 10],\n [10, -7, -10, 9, 7, 2],\n [-2, -9, 10, 1, 6, 6],\n [-1, -8, -7, -3, -9, -7]]\nB =\n[[1, -4, 6, -10, 6, -8],\n [2, 7, 1, 10, 8, 1],\n [6, 0, 0, -10, -8, 10],\n [-10, -9, -4, 7, -4, -1],\n [8, -9, -2, -8, -4, 5],\n [9, 5, -4, 4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-706", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, 6, 0, -10],\n [-8, -6, 2, 1, -10],\n [-8, -7, 4, 2, 2],\n [8, 5, -2, 4, 4]]\nB =\n[[-5, -2, -1, -2, -5],\n [-10, 9, 9, 8, -5],\n [-1, -6, -3, 8, -9],\n [7, -2, -10, -3, -8],\n [7, 10, 9, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-3, -9, 3, -2, 1, 8],\n [3, 8, -4, -8, -5, 1],\n [10, -4, 4, 9, 9, 6],\n [2, -5, 8, -4, -8, 1],\n [1, -7, -4, 6, 2, -2],\n [4, -7, -5, 7, -10, -7]]\nB =\n[[-2, -6, -6, 3, -6],\n [9, 8, -10, -4, -8],\n [2, 4, 3, 8, -10],\n [1, 7, -8, 1, 0],\n [-9, -9, -1, 10, 3],\n [8, -9, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[5, -1, 8, -8, 0],\n [-2, 3, 3, 8, -8],\n [7, 1, -1, 8, 7],\n [5, 8, 8, 7, 5],\n [4, 10, 9, 0, -8]]\nB =\n[[0, 3, 7, -7],\n [-3, 2, 7, -1],\n [3, -7, -8, -6],\n [-2, 3, 0, 1],\n [-1, 6, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 8, 8, 8, 5],\n [-4, -6, 10, -5, 9],\n [-5, 0, 7, -5, 4],\n [-6, 3, 9, -3, -7]]\nB =\n[[5, -5, -9, -7, 3, 6],\n [-1, 1, -8, -3, -4, -6],\n [10, 4, -9, -5, -8, 7],\n [9, 2, 1, -1, -5, -1],\n [3, -2, 4, -5, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, -10, -1],\n [-8, -4, 9, -8],\n [0, 9, 5, 5],\n [-10, 1, -4, -10],\n [8, 1, 5, 8]]\nB =\n[[4, 8, -7, 4],\n [0, 10, -2, 7],\n [0, -5, 0, 3],\n [-5, -9, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[3, 7, -7, 7],\n [0, -4, 6, 7],\n [3, 8, -4, -3],\n [-4, -7, -6, -6],\n [3, 8, -3, -4],\n [-4, 6, 3, -9]]\nB =\n[[4, 5, -5, -6, -4, 6],\n [2, 9, -6, -2, 10, 4],\n [-10, -2, 4, -7, 2, -10],\n [7, 6, 5, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, -6, 1],\n [-7, 8, -9, -2],\n [-8, -2, -10, 4],\n [7, 0, 5, -6],\n [-4, -9, 3, -1]]\nB =\n[[1, -3, 1, -9],\n [0, 1, 0, 2],\n [10, -1, -8, 3],\n [5, 4, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, 0, -8, -5, -1],\n [6, -1, 9, -4, 3],\n [3, -9, -3, -6, 8],\n [2, -8, 9, -10, -3],\n [8, -3, 9, -5, 8],\n [-6, 6, 8, 4, 0]]\nB =\n[[4, -4, 5, -4, 0, 4],\n [-10, 0, 9, 3, -3, 0],\n [6, -10, 9, -7, -5, -8],\n [1, -3, -4, -6, 9, -3],\n [-8, 10, -2, -1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 9, 1, -7, -8],\n [-10, 9, -7, 10, -1],\n [-9, -5, -9, -8, 6],\n [-2, 9, 4, 6, -9],\n [8, -8, 8, -9, -3]]\nB =\n[[3, -7, 6, 9, -10, 2],\n [3, 6, 4, -9, -3, 7],\n [-3, 2, -7, -6, -5, 1],\n [9, 9, -5, 1, 1, -5],\n [4, -2, -8, -6, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[3, 7, 8, 6],\n [1, -10, 6, 10],\n [-3, -4, 9, -9],\n [-1, -9, -6, 5],\n [-6, 0, 8, 8],\n [-4, 0, 1, 4]]\nB =\n[[-6, 3, 5, 0, 6, 10],\n [-7, 3, -4, -1, 6, 8],\n [-6, -1, 8, -5, 3, 5],\n [10, -10, -3, -4, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -7, 3, -7, 4],\n [-9, -3, -4, 8, -9],\n [7, -3, -9, 10, 6],\n [0, 0, 8, -5, -10],\n [-3, -3, 5, 2, 0],\n [-8, 6, 3, 0, -4]]\nB =\n[[6, 4, 4, 4, -9, 7],\n [8, 5, 10, -10, 8, 4],\n [7, 0, 6, 4, 2, -4],\n [-5, 6, -4, 7, -2, -10],\n [5, -1, -10, -5, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1993", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[3, -10, -4, 1, 3],\n [4, -7, -1, 3, -5],\n [7, 4, -5, 9, 4],\n [-3, 10, -7, 8, 10]]\nB =\n[[3, 5, 5, -10, -5],\n [1, 7, -2, 6, -8],\n [7, 10, 6, -9, 1],\n [1, -1, -10, -6, -9],\n [9, 0, -8, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 5, -3, -1, 4],\n [-6, -5, -9, -7, -6],\n [5, -8, -4, -3, 0],\n [4, 6, 9, -1, 2],\n [3, -1, 7, 5, -8]]\nB =\n[[-1, -3, -2, 7],\n [-6, 3, 6, 2],\n [5, -8, 0, 3],\n [-2, 9, 3, -2],\n [-1, 8, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, -8, 1],\n [4, 5, 8, -1],\n [1, 10, -1, 9],\n [10, -6, -8, 3]]\nB =\n[[3, 9, -3, 5],\n [3, 10, -9, 8],\n [-7, 6, -9, 9],\n [9, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1607", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, -10, 5, 7],\n [-9, 1, -3, 6, 3],\n [7, -1, -10, -1, 2],\n [-5, 9, -7, -6, 10],\n [1, -2, -7, 2, -4],\n [6, -4, 10, -9, 0]]\nB =\n[[-1, -9, -9, -9, -8, 10],\n [7, 3, -7, -5, 8, -7],\n [3, 9, 8, 5, -4, 1],\n [-1, 6, 5, 8, -7, -5],\n [-8, -3, 5, -1, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2606", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-9, -9, 8, -3, 1, -9],\n [8, 9, 5, -8, 6, 4],\n [-5, -4, -5, -5, 6, -10],\n [3, -10, -3, -6, -3, -5],\n [-2, 2, 1, -10, 3, -4]]\nB =\n[[0, -1, -6, 0, -2, -2],\n [-9, 9, -10, 9, -6, 6],\n [0, -8, 8, 5, -9, 9],\n [4, -4, 4, -3, -1, -1],\n [2, 4, -9, 7, -1, 0],\n [-1, -3, -6, 8, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 3, 10, -1, -2],\n [-5, -6, -10, 0, -10],\n [-2, 0, -6, -5, -2],\n [10, 2, -9, -8, -8],\n [-5, -3, -3, -10, -5],\n [0, -6, 6, -10, -5]]\nB =\n[[5, -1, 4, -4, -7, 9],\n [7, 4, 5, -6, 2, 0],\n [-9, 3, -8, 8, 10, 10],\n [-3, 6, -1, 8, -8, 7],\n [1, -9, -9, -4, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-560", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, -4, -3],\n [10, 9, -3, 4],\n [-1, -7, 3, 0],\n [-7, 8, 2, 6],\n [4, 3, 5, 7],\n [10, -4, -1, -1]]\nB =\n[[-2, 5, -4, 3, 8],\n [7, 7, 9, -6, -3],\n [-8, -8, 5, -10, -1],\n [-9, 4, -9, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1324", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 8, 7, -3, -7],\n [4, 10, 8, 6, 0],\n [-6, 5, 0, 5, -2],\n [1, -2, 2, -1, -3]]\nB =\n[[-10, -5, -8, 2, 9, -9],\n [-6, -10, 7, 7, 7, -5],\n [-1, 0, -2, -10, 1, -3],\n [1, 10, 5, 2, -2, 6],\n [-6, 5, 5, 4, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-8, 3, -10, 9],\n [8, -2, 5, 4],\n [4, -8, 4, 3],\n [6, 9, -8, 10],\n [2, -6, -9, -3]]\nB =\n[[8, 10, 10, 3],\n [-2, -2, -8, 3],\n [-4, 4, 5, -9],\n [4, 10, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, 7, 1, 7, 3],\n [0, 2, -3, 6, -9, 7],\n [-7, 1, 1, -2, 10, -3],\n [-9, 5, 2, 3, -7, -3],\n [1, -9, 6, -8, -2, 0]]\nB =\n[[-3, 4, -6, 2],\n [8, -5, -1, 3],\n [-8, 6, -1, 2],\n [-3, -2, -5, -3],\n [8, -10, 2, 6],\n [-6, 1, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 3, 0, -10, 8, 4],\n [9, 1, 4, -10, -2, 7],\n [-1, 2, 8, -4, 9, 8],\n [2, 8, 4, -1, -3, 8],\n [10, 5, -1, -4, -8, 1],\n [-7, -5, -8, -3, -10, 4]]\nB =\n[[3, 3, 3, -1, -5],\n [1, 4, -1, -7, -10],\n [-4, -9, 3, -7, -6],\n [7, 5, -5, -8, 0],\n [-2, 3, -4, 5, -8],\n [-3, -6, 7, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[8, 0, -3, -7, 10, 1],\n [-7, 6, -6, -2, -7, 2],\n [6, 10, -2, 3, 2, 9],\n [-9, 2, 3, -6, 9, -6],\n [0, -7, 2, -1, -9, -10]]\nB =\n[[-1, -2, 7, 8, -2, 9],\n [8, -8, 0, -2, 5, -7],\n [8, 2, -5, 2, -4, -1],\n [-4, 1, -1, 6, 5, -7],\n [1, -8, 9, -8, -9, 10],\n [-9, 6, 10, -2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -5, 0, 6, -4],\n [-4, 5, -9, -4, 6],\n [1, 2, 2, 5, -5],\n [5, 9, 10, -9, -3],\n [-8, 4, -7, -7, 1]]\nB =\n[[2, -4, -10, -4, -5, -9],\n [6, 10, 9, 6, -9, 7],\n [-1, 0, 7, -5, -5, -1],\n [4, 10, -3, -5, 9, 1],\n [-4, 8, 4, -2, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1831", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-6, 4, -2, -2, 0, -9],\n [-4, 3, 1, 4, -3, -8],\n [4, 3, 2, -10, -4, -10],\n [8, -1, 3, -5, 3, 4],\n [4, 5, -3, 7, 3, -7]]\nB =\n[[-6, 10, -3, 6],\n [-8, -3, 2, -10],\n [4, 2, 7, -9],\n [-9, -2, -8, 7],\n [9, 5, 3, 2],\n [-7, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-1, 4, -1, 3, -7],\n [8, 8, 9, -2, -4],\n [4, 8, 5, -4, 2],\n [9, -3, 2, -10, -10],\n [-4, 9, 5, 2, -4]]\nB =\n[[-1, 8, 2, 4, -5, -4],\n [-9, 10, -2, 3, 3, -5],\n [5, 2, 5, 0, -7, 2],\n [-5, 1, 1, -6, -8, -7],\n [10, 10, -7, -8, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, -9, 6, -7, 5],\n [6, -9, 6, -3, 8, -4],\n [-1, -5, -6, 4, 8, 10],\n [-9, -3, -5, 5, -9, -6]]\nB =\n[[2, -5, -2, 10, -1, 9],\n [7, 6, -6, -8, -3, -10],\n [-9, -9, 2, -5, -7, 6],\n [8, 9, -3, 7, 6, 7],\n [-3, -1, -9, 4, 5, 7],\n [0, -1, -1, 1, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-3, 9, -10, 3],\n [1, 7, -7, 3],\n [-5, 5, 1, 6],\n [1, 2, -7, -1]]\nB =\n[[-7, 5, 5, -5],\n [-4, -7, -10, -3],\n [10, -5, 10, -10],\n [5, 1, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 10, 7, 10],\n [0, 6, 0, 8],\n [-10, -5, -10, -5],\n [9, -10, 10, 1],\n [-7, -3, -9, -7]]\nB =\n[[2, 3, -5, -9, -10, 2],\n [3, 4, -6, 10, 8, 4],\n [3, 6, -2, -4, 0, 9],\n [7, 9, 10, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 10, 9, -9, 6],\n [8, 5, 4, 3, -1],\n [-9, -8, 0, 5, 9],\n [-6, -8, -5, 3, 7]]\nB =\n[[6, -1, -2, -6, -3, -2],\n [8, -8, 9, -6, 4, -2],\n [10, 0, 2, -7, 0, -3],\n [1, -10, -1, 8, 2, 1],\n [-1, 0, 1, 8, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2011", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, 8, 4],\n [-4, 5, -3, -6],\n [6, 0, -7, 4],\n [9, 8, -5, -4]]\nB =\n[[-9, -4, 1, 2, 6],\n [0, 0, 10, 7, 4],\n [3, 3, 2, 9, -2],\n [5, 7, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 2, -9, 10, 9, -4],\n [-6, 5, 0, -6, 3, -10],\n [-2, -1, -8, 3, -6, 1],\n [-7, -7, 2, 0, 8, -8],\n [-8, 2, -8, 3, 4, 6],\n [0, -7, -1, 1, -10, 2]]\nB =\n[[-8, 6, -2, 7],\n [1, 4, 7, -7],\n [-10, 6, -4, -2],\n [2, 8, 7, 8],\n [-9, 1, -4, -6],\n [7, 8, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 4, -9, -1, 1],\n [8, -10, -9, -8, -9],\n [1, -10, -3, 3, 10],\n [-6, -6, 10, 8, -7]]\nB =\n[[7, -8, 9, 5, 6],\n [6, -3, -8, -8, 3],\n [3, 7, 9, 7, -1],\n [7, -4, 6, -3, -2],\n [-1, -2, -3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1297", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -8, -3, 6, -2, -10],\n [7, 10, -5, -2, -4, -1],\n [8, 8, 3, 3, -9, 10],\n [-1, 7, -7, 2, 10, -6],\n [4, -2, 0, 6, -6, 4]]\nB =\n[[-9, 6, 7, 10, -6, -7],\n [-3, 10, 9, 10, -6, 9],\n [4, -7, 10, -9, 1, -2],\n [9, 7, 8, 4, -6, -3],\n [-7, -6, -9, -3, 1, -1],\n [-9, -1, 7, -6, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2901", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 3, 3, 5],\n [-6, 7, -1, -1],\n [6, 4, 1, -9],\n [0, -7, -3, -5]]\nB =\n[[7, 4, -8, 6, -1, -5],\n [-3, -6, 7, -7, 3, -8],\n [10, -3, -4, -10, 8, -8],\n [5, 5, -6, -9, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -4, 5, -6, -5],\n [-5, 5, -1, 8, 10],\n [0, -7, 5, 1, -10],\n [-4, -8, -1, 6, -2]]\nB =\n[[5, -9, -1, 4],\n [3, -3, 2, -4],\n [-9, 6, 7, -5],\n [-9, 4, -6, 10],\n [9, 10, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[4, -10, 6, -9],\n [-8, -7, -7, -4],\n [1, -4, 2, 3],\n [-10, -3, 4, 0],\n [-8, -9, -9, -2],\n [-6, -7, 7, -2]]\nB =\n[[-5, -4, -1, -4, -8],\n [-1, 7, -8, 0, 5],\n [6, 0, 8, 5, 3],\n [-3, -1, -6, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, -8, 3, 3],\n [-5, 10, 5, 9, -4],\n [-10, -9, -9, -1, -3],\n [9, 9, -9, 7, -9],\n [5, 10, -6, 2, -2]]\nB =\n[[-1, 6, 8, 4],\n [-9, -5, -9, -10],\n [1, -9, -7, 2],\n [-5, 1, 7, -2],\n [4, 9, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[3, -1, -9, 9, 10],\n [8, 7, -8, 2, 2],\n [-9, 0, -10, 4, 5],\n [-3, 3, 4, 0, 9],\n [0, 7, 9, 8, -5],\n [-10, -8, -2, -10, -1]]\nB =\n[[-10, -3, -3, 6, 2],\n [-9, 0, 10, 1, -1],\n [1, 6, -8, -5, -5],\n [-7, -9, 4, 9, 4],\n [-10, -8, 8, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-1, 8, 5, 10, 3],\n [7, 4, 1, 7, -4],\n [0, 9, 2, 7, 2],\n [-10, -4, -10, 4, -1],\n [10, -5, 3, 0, -8],\n [-6, 8, -6, 7, 10]]\nB =\n[[5, 6, -5, -5, 9, 6],\n [10, 1, -9, 3, 7, 3],\n [-2, 4, -8, 3, 7, 9],\n [2, 7, 8, -10, 6, 9],\n [10, -2, 3, -6, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 0, 7, -6, 5],\n [8, 0, -7, 4, -8, 4],\n [-3, 3, -8, 10, 7, -5],\n [3, 7, 0, -1, -5, 6]]\nB =\n[[-2, -8, -6, 2, -8],\n [8, -3, -7, 7, 7],\n [-10, -8, -2, -5, 7],\n [-3, 8, 1, 8, 8],\n [0, -3, -9, 0, -5],\n [0, -1, 2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 6, -9],\n [-1, -10, 8, 2],\n [0, -7, -4, -9],\n [-6, -5, 1, 9],\n [0, 3, -5, 0]]\nB =\n[[3, 8, 6, -3, -1, -7],\n [2, 8, 2, -7, 5, 10],\n [-10, 5, -8, -4, -8, -1],\n [-6, -1, 0, -2, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 4, 0, -7, 10, 10],\n [-8, 5, 3, -4, -6, -3],\n [3, -2, -10, 4, 4, 4],\n [10, -1, -3, -6, 2, -7],\n [3, -5, 5, 3, 8, 3],\n [10, -1, 6, -3, -2, -2]]\nB =\n[[5, -3, 2, -4, -3],\n [-9, -10, 3, 10, -3],\n [-4, -6, 6, -9, -9],\n [8, 1, 4, 3, -1],\n [2, -2, -8, 9, -2],\n [-10, -4, 10, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-275", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -7, 1, -4, -6, 9],\n [-6, -5, -4, 8, -10, -1],\n [9, -7, -6, 6, -2, 7],\n [-5, 6, -10, 2, 10, -6]]\nB =\n[[5, -4, 4, 8],\n [-10, 9, -10, 0],\n [1, -3, -1, -2],\n [-9, 2, 7, 10],\n [6, 2, -1, -2],\n [10, -4, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 10, 10, -6, 3],\n [-8, 9, 10, 5, 3],\n [0, 9, 7, 3, -9],\n [-1, -1, 3, 7, 3],\n [-9, -3, 5, 5, 8]]\nB =\n[[8, -10, 3, -4],\n [-6, -4, -5, 10],\n [-6, 4, 2, 2],\n [-4, 3, 3, 9],\n [-3, 10, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1749", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 3, -10],\n [6, -8, 6, -9],\n [-5, 1, -8, -1],\n [1, 10, 7, -6]]\nB =\n[[-5, 3, -1, -5],\n [-4, -1, 0, 5],\n [7, -9, -8, -6],\n [-8, 0, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -10, 2, -8],\n [-8, -9, 3, -7],\n [2, 5, 6, 4],\n [-1, 2, 2, -8],\n [-5, -1, 5, -6]]\nB =\n[[0, 5, 8, 5, 2],\n [4, 3, 0, 1, 0],\n [-5, 6, 8, 7, 4],\n [-10, -2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -4, -9, -6],\n [-5, 0, 9, 6],\n [-1, -6, 3, -9],\n [-9, -9, -6, -7],\n [9, -10, -4, -4]]\nB =\n[[8, 6, -10, -6],\n [-2, -5, 7, -10],\n [-10, 1, -5, -4],\n [-8, 5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1646", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 2, -1, 0, -6, 1],\n [8, -5, 1, 5, 0, 4],\n [6, -9, -9, -1, 6, -3],\n [6, 8, -4, -1, 4, -5],\n [10, 6, 1, -9, 3, -7],\n [-4, -2, 10, -3, -1, 7]]\nB =\n[[-9, -7, -7, 0, 7, -2],\n [-3, -1, 1, 10, 5, 7],\n [-10, 4, 6, -4, 5, 1],\n [-1, 9, 4, 6, 1, 0],\n [-7, 0, 10, -6, -1, -9],\n [-4, -10, -4, 7, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-787", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -8, 7, 1],\n [4, 3, -10, 4],\n [-2, 2, 5, 1],\n [2, 1, -2, 0],\n [2, 6, -3, -6],\n [5, 7, -2, -1]]\nB =\n[[3, -7, 1, -2, -9, 7],\n [0, 7, 4, -8, -8, 0],\n [-1, -10, -8, -9, -5, -1],\n [-3, 10, -1, -1, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1421", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -10, -10, -3, 10],\n [-5, -10, 9, 4, -6],\n [2, 3, 4, -1, 6],\n [-3, -10, -3, -10, 3],\n [5, 9, 10, -9, -2],\n [-4, 2, 1, 7, -3]]\nB =\n[[6, 5, 3, -1],\n [-7, -8, -4, 2],\n [-10, 10, 2, -4],\n [8, -6, -9, -1],\n [-5, 7, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -2, -2, -1],\n [9, -10, 3, -7],\n [9, 0, -1, 5],\n [7, 10, -3, 8],\n [9, -8, -9, 7],\n [9, 10, 1, -7]]\nB =\n[[9, 6, -7, -2, -3],\n [-5, -3, 10, 9, -6],\n [4, -1, 3, 7, -8],\n [9, 3, -5, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[1, 3, -5, -7],\n [8, -10, 2, 4],\n [0, -4, 6, 8],\n [-5, 0, 3, -9],\n [-8, 8, 4, 5]]\nB =\n[[-7, -2, -1, 9, -8],\n [-8, 2, 4, -2, 4],\n [2, 8, 4, 6, 2],\n [-9, 2, -4, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-1, 7, 0, 0, -6, -10],\n [6, -1, -8, -1, -7, 3],\n [5, 7, 7, -2, 10, 4],\n [9, -10, -10, -5, -6, 5],\n [-8, 5, -9, 0, -3, -5],\n [4, -4, 0, 5, 9, 4]]\nB =\n[[-10, 4, 2, 9, 7],\n [-4, 1, 2, -10, -6],\n [2, -2, 0, 8, 7],\n [-2, 7, 3, 7, -1],\n [-9, 5, 3, -10, 7],\n [9, 2, 2, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -5, 10, -4, -9],\n [8, -2, 2, 6, -6, 10],\n [-10, 0, 1, 6, -2, -2],\n [-6, -9, -5, 9, 3, -1],\n [0, 10, -1, 9, -7, 5],\n [-7, 2, 2, 7, 3, 4]]\nB =\n[[-2, -4, 8, 0, -3, -7],\n [-7, -9, -3, 10, -9, -4],\n [-2, 4, 4, 10, 6, -2],\n [6, -3, 9, -10, 4, 8],\n [3, 10, 6, -3, -8, -10],\n [-10, 1, 6, -9, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -5, -6],\n [0, -2, 0, -4],\n [4, 7, 7, 1],\n [1, -9, 3, 5]]\nB =\n[[-4, 0, -9, 4],\n [-8, -3, 0, 9],\n [7, -3, -10, -1],\n [-4, 7, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, 3, -7, -10],\n [-1, 1, -2, 6],\n [-3, -7, -9, 1],\n [-8, -8, 1, -6],\n [2, -6, 7, 1],\n [0, 4, 2, -9]]\nB =\n[[9, 3, 10, 9],\n [6, 8, -9, -5],\n [2, -8, -1, 4],\n [2, 1, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, -10, -8, 2, 7],\n [-4, 2, 4, 8, -2, -5],\n [-10, 7, -8, 9, 0, -4],\n [-6, 4, 0, 2, -9, 9],\n [-1, -6, -7, 3, -8, 0]]\nB =\n[[-7, -2, -1, 7, 3, 1],\n [-5, -7, -9, 10, -5, 10],\n [4, 9, 3, -3, -10, 8],\n [-8, 2, -9, -10, -10, -9],\n [-3, -7, 9, 6, 0, 4],\n [5, -7, 3, -4, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-4, -10, 1, 8, 10, -7],\n [8, -5, 6, -5, -2, 10],\n [4, 4, -7, -4, -6, 8],\n [-6, 10, 8, 4, 9, -2],\n [5, 2, -1, -3, 9, 8]]\nB =\n[[-5, -10, 7, -1, 3, 8],\n [7, -2, -4, 7, 9, 7],\n [-1, -1, 2, 6, 7, -6],\n [-10, 1, -1, 10, -1, 6],\n [-7, -6, -8, 7, -2, 2],\n [-8, 5, 1, 2, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 10, -1, -1],\n [2, -5, -10, -10],\n [3, -6, 9, -4],\n [3, 5, 2, 8]]\nB =\n[[-4, -6, -1, 2, 3],\n [8, -1, -1, -3, 7],\n [10, -2, -1, 9, -6],\n [-1, 9, 0, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 9, 4, -8, 9],\n [0, 8, -9, 1, -4],\n [8, -3, -6, 1, -4],\n [4, 0, -6, -6, 10],\n [7, -7, 8, -6, -10],\n [10, 5, 1, 6, 2]]\nB =\n[[-5, -1, -1, -6, -7],\n [5, -3, 7, -1, -10],\n [0, 8, 4, -10, -6],\n [7, -8, -10, 2, 5],\n [-10, -9, 7, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 5, 4, -6, -3],\n [-7, -9, -6, 4, -8],\n [-10, -4, 0, 3, 0],\n [4, 1, 5, -10, -6],\n [2, -4, 7, -6, -4],\n [1, 10, 4, 9, 8]]\nB =\n[[7, 9, -7, -7],\n [-9, -9, 5, 6],\n [9, 2, -6, -2],\n [-6, -2, 6, -10],\n [-3, 1, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1667", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[4, 6, 0, -9],\n [9, -1, -1, -3],\n [-10, 10, -4, -6],\n [3, -1, 3, -9]]\nB =\n[[-10, -1, -4, -10],\n [-8, -4, -6, 2],\n [1, 3, -9, 9],\n [9, -2, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 1, 3, 6],\n [4, 3, 2, -4],\n [5, 0, 6, -10],\n [9, -8, -1, 3],\n [-4, 9, -4, 2],\n [-5, -8, 1, -1]]\nB =\n[[2, -3, -8, 0],\n [3, 9, 7, -4],\n [-3, 5, -3, 0],\n [3, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[7, -9, -6, -9],\n [6, 10, 2, 9],\n [-4, -5, -5, -4],\n [-3, 2, 5, -9]]\nB =\n[[2, -10, 7, 9, 3],\n [-7, -10, -7, 9, 4],\n [6, -3, 7, 9, 6],\n [-3, -10, 5, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 9, -1],\n [-4, 9, -3, -5],\n [-2, -3, -6, 4],\n [2, -5, -7, 0],\n [2, 1, 0, 3],\n [-8, 0, 6, 3]]\nB =\n[[-5, 6, 1, 6],\n [-7, -4, 9, 0],\n [-6, 1, -2, -9],\n [2, 7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-9, 1, -5, -2],\n [-2, -9, -4, 5],\n [-2, 6, -5, 5],\n [-7, 10, 5, 2]]\nB =\n[[-5, -2, -9, -3, 6, -8],\n [-10, 9, 2, 3, -4, 5],\n [-1, -5, -5, -7, -4, -5],\n [-8, 1, 9, -2, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 8, -10, -6],\n [-8, 10, -6, -8],\n [-1, 0, 0, 3],\n [-6, 6, 4, 2],\n [-7, -5, -8, 5],\n [7, -9, -3, -3]]\nB =\n[[-1, 6, -10, -9, 2],\n [10, -6, 7, 0, 7],\n [4, -1, 1, -10, 3],\n [-8, 9, 2, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2192", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 3, 4, 5, 8],\n [-6, -10, -1, -4, -2, -5],\n [0, 8, -6, 6, 10, -2],\n [-3, -3, 8, -6, 4, 5],\n [-5, -8, 0, 5, 5, -8],\n [-7, -3, 1, -10, -3, -9]]\nB =\n[[-5, 0, -9, 5, 2],\n [-4, 0, -10, -6, 7],\n [-1, -9, 0, 1, 0],\n [-9, 10, 7, 5, 6],\n [-7, 10, 7, -2, -2],\n [4, 9, 4, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[3, 5, -9, -2, -3],\n [8, 7, -6, -4, 7],\n [-6, -2, 7, -9, -2],\n [-6, -5, 9, -8, -7],\n [-9, -6, 3, -1, 7],\n [8, -5, -2, 5, 6]]\nB =\n[[-5, -9, 4, 0, 8],\n [3, -8, 2, -8, 5],\n [-1, 9, 1, -5, -7],\n [6, -1, -5, 0, 5],\n [-9, -4, 1, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -3, 9],\n [5, 4, -6, -8],\n [-6, -2, 1, -5],\n [1, 4, -9, 2]]\nB =\n[[8, 7, -10, -7],\n [-3, -9, -10, 8],\n [-8, 8, 8, -3],\n [7, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-8, 7, 0, -7, -2, 5],\n [10, 0, 3, -2, 2, 8],\n [-3, 5, 5, -7, -2, -9],\n [0, 8, 9, 3, 7, -1],\n [-4, 5, -9, -3, 7, 8]]\nB =\n[[-10, 0, 8, 0],\n [-6, 7, 5, 3],\n [-8, -2, 10, 1],\n [2, 1, -3, -5],\n [10, 6, 1, 8],\n [-8, 9, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 1, 7, -10],\n [10, 3, -10, -9],\n [1, 1, -6, -2],\n [8, 10, 10, -7]]\nB =\n[[2, -7, -5, 2, -1, 3],\n [-9, -6, 1, 3, -4, -1],\n [4, -4, 2, -6, -2, -9],\n [-10, 8, 1, -8, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, 4, 2, -3, 4],\n [-9, 8, 1, 7, 9, -9],\n [10, -6, -3, 2, 7, 9],\n [10, 1, -1, 10, -8, 4]]\nB =\n[[1, -6, 0, -10, -8],\n [-5, -1, -1, 8, -2],\n [2, 7, -3, 9, -3],\n [3, 8, -1, -8, -3],\n [-10, -5, 0, 2, -7],\n [1, -4, 5, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -3, 3, -4, -3],\n [5, -6, -8, -8, 6],\n [8, -9, 9, 8, -2],\n [0, 1, -9, -3, -9],\n [6, 5, 5, 8, -10],\n [10, -4, 5, -2, -9]]\nB =\n[[4, 7, 10, -8, -8, 10],\n [-4, -5, -10, 8, -2, 0],\n [-6, 10, -4, 3, 0, -7],\n [-7, 4, 0, 7, -10, -2],\n [3, -2, -4, 9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "619", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 3, -6, 2, 3],\n [3, 3, -5, -1, 10],\n [7, 2, -1, -5, 5],\n [4, 6, 6, 3, -4],\n [10, 7, -2, -3, -7]]\nB =\n[[1, 8, 2, -4, -9, 9],\n [-1, -3, -6, 9, -9, -3],\n [5, -10, 1, 10, -5, 10],\n [6, -6, -7, -10, 8, 4],\n [-7, 1, -1, -10, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -3, -6, 6],\n [1, 4, -9, 6],\n [-2, -8, 0, -8],\n [0, 2, -2, 5]]\nB =\n[[2, -2, 10, 4, -9, 3],\n [-6, 6, 8, 4, -8, -6],\n [-5, 8, 9, -6, -2, -7],\n [-4, 5, -9, -8, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 5, -10, -10, 10, -8],\n [-9, 2, -3, 2, -3, -8],\n [1, 3, -4, 8, -2, -4],\n [3, 9, 4, 0, -2, -6],\n [0, 2, -6, 8, -10, -10]]\nB =\n[[4, 10, 0, 2],\n [-8, -6, 3, 8],\n [4, 1, 2, 3],\n [-7, 5, 0, -9],\n [-6, 6, 9, -8],\n [-6, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -7, 2, 6],\n [5, 8, -9, -10],\n [1, -6, 2, -8],\n [4, 2, 0, -9]]\nB =\n[[3, -8, 7, 2, -1, -8],\n [-1, -8, 0, 8, -9, 1],\n [6, 6, -5, -10, -3, 10],\n [7, -10, -8, 4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 10, -8, 8],\n [-6, -4, -6, 1],\n [-3, -5, 5, -7],\n [3, 6, 8, 8]]\nB =\n[[10, -1, 7, -10, 0, -10],\n [10, -7, 1, -4, 9, 8],\n [-7, 2, 7, -7, -7, -5],\n [-2, -5, 0, 0, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 0, -7, -7, -9, -8],\n [-7, 7, 9, -5, 4, 8],\n [-10, 6, -6, 8, -4, 0],\n [2, 9, 4, 1, 8, 0],\n [-10, 6, -7, -6, -3, 5]]\nB =\n[[-6, -10, -4, 2, 8, -10],\n [-4, 3, 9, 7, 5, -5],\n [-2, -8, 0, -9, 9, 5],\n [-4, 1, -2, 1, 1, -1],\n [-5, 1, 5, 10, 9, -6],\n [0, 3, 2, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2315", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -7, 2],\n [-10, 0, -8, 1],\n [8, 4, 9, 4],\n [-5, 8, 0, -7],\n [-6, 8, 10, 10],\n [-10, 9, 3, 4]]\nB =\n[[-9, 4, -1, -4],\n [3, 4, 4, 5],\n [-7, -7, -8, 9],\n [-4, 5, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "783", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-6, 1, 2, 6, 9, -6],\n [3, -8, 7, -9, -2, -3],\n [-6, 3, 2, 10, -10, 7],\n [-2, 3, 6, -4, 8, 4],\n [-2, -8, 9, 2, -4, -1]]\nB =\n[[10, 7, 2, -4, 10],\n [0, 1, -2, 6, -3],\n [3, 5, 10, 5, 6],\n [-4, 7, -3, -8, 0],\n [6, 1, -9, -2, -7],\n [5, 3, 5, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -6, -5, 1, 2],\n [10, -10, -6, 7, -7, -8],\n [4, 9, 0, -9, 9, 6],\n [-2, 10, -9, 0, -5, 10]]\nB =\n[[-6, -6, -1, -6, 7],\n [10, -5, -7, 3, -5],\n [0, -5, 1, 2, 0],\n [3, 7, 0, 9, 6],\n [-3, -6, -2, 4, -4],\n [-4, 0, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-477", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 8, -4, 5],\n [9, -9, -8, -8],\n [-1, 6, -9, -4],\n [9, -3, 0, -8],\n [-8, -5, 4, 6]]\nB =\n[[-4, -4, 1, 6, -10, 3],\n [-10, -8, 1, 0, 10, -8],\n [-4, -2, -1, 10, 8, 5],\n [7, 8, 0, -5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -1, 8, -8],\n [4, 0, -9, -7],\n [-3, 4, -2, 10],\n [5, 8, -4, 6],\n [0, -4, 6, -4],\n [6, -6, 7, 1]]\nB =\n[[4, 0, -10, 7, -6, -1],\n [-3, -7, 7, 4, 3, 6],\n [-8, -7, 0, -9, 3, -7],\n [-7, 4, 9, -2, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 9, -10, 3, 6, 8],\n [-4, -1, 6, -3, -6, -9],\n [10, -5, -8, -10, 3, -3],\n [3, 3, 8, 1, -1, 4],\n [-10, 3, 2, -8, 1, -2],\n [-1, 10, 5, -5, -10, 9]]\nB =\n[[0, -2, -10, 9, 1],\n [-4, 7, 7, -4, 10],\n [-2, 0, -4, 8, -8],\n [-7, 7, 7, -6, 0],\n [2, -1, 10, -5, -7],\n [4, 10, 0, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 3, 6, 0],\n [7, 8, -5, -2],\n [8, 4, -2, 3],\n [4, 0, -2, -10],\n [-9, -4, 6, 0]]\nB =\n[[7, -7, -4, 1, 0],\n [8, 1, -4, 2, 0],\n [-7, 0, 3, 1, 8],\n [9, 2, -10, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-7, 9, -6, -4],\n [8, 10, -3, 4],\n [5, -1, 10, -9],\n [4, 7, 2, 2],\n [5, 3, -3, 9],\n [5, 6, -1, -9]]\nB =\n[[8, 0, -6, 6, 3, 5],\n [1, 10, 7, -5, -7, -3],\n [-3, 3, 2, -7, -6, -2],\n [9, -9, 2, -4, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -8, -9, -7],\n [3, -4, -1, 2],\n [-7, 0, -5, 3],\n [0, 10, 6, -6],\n [-5, 7, 0, -4]]\nB =\n[[-9, 3, -10, -1, -6],\n [-8, 7, 7, -6, -6],\n [10, 1, 2, -10, 7],\n [2, 4, 10, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -9, 5, -5, -9],\n [-7, -6, 9, 9, -2],\n [1, -7, 0, -7, -8],\n [-7, 1, -1, -4, 2],\n [6, 9, -4, 10, -6]]\nB =\n[[8, -7, 6, -6],\n [-10, -7, -3, -2],\n [9, 3, 0, 1],\n [4, 5, -6, -8],\n [-5, 0, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1394", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 4, 9, 6, 0],\n [-8, 0, 6, 0, -9],\n [-10, 6, -6, 2, -5],\n [7, -7, -7, 1, 4],\n [2, -4, 8, 10, 10]]\nB =\n[[-10, 3, -1, -1, -10],\n [-8, 1, 4, 6, -4],\n [-3, 0, -3, 7, 3],\n [9, 9, 10, -2, 7],\n [0, -3, 10, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1465", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, -2, -1, -9],\n [-1, -7, 3, -7, -2],\n [-6, -9, -10, 3, -2],\n [-9, -8, -4, -4, 6],\n [-3, 4, 8, 2, 6],\n [8, 2, 4, -5, -4]]\nB =\n[[5, 0, 8, 10, 2, 9],\n [-3, 4, -3, -6, -8, -4],\n [0, 9, 8, -9, -1, 7],\n [10, 8, 5, -2, -8, 8],\n [-8, -1, -8, -1, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2130", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 9, -8, 6],\n [8, -7, -3, -7],\n [-10, 7, 1, -5],\n [-6, -6, -1, 3],\n [4, 6, -9, -1]]\nB =\n[[4, 10, 1, -9, -10],\n [4, 1, 0, 3, -10],\n [8, 3, -5, -6, 10],\n [10, 6, 10, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -6, 10, -6, 6],\n [9, 1, 8, -10, -10],\n [-1, 6, -1, -2, -8],\n [3, 3, -3, -9, -6]]\nB =\n[[-9, -2, 3, 4],\n [2, 7, -8, 7],\n [8, 0, 8, -4],\n [-8, 0, 5, -4],\n [-5, 0, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -5, -8, -3, 5],\n [4, -8, 7, 2, -8],\n [2, -6, 5, 9, -9],\n [-6, -6, -5, 9, -4],\n [1, 2, -1, -10, 4],\n [4, -10, -9, 2, 8]]\nB =\n[[5, 7, -1, 0],\n [3, 8, -2, 9],\n [8, 7, -9, -3],\n [6, 10, -6, 2],\n [-10, -1, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -1, 8, 4],\n [-8, -6, 9, -9],\n [8, -8, -5, 8],\n [4, 0, -3, -9],\n [-7, -5, 7, 10]]\nB =\n[[-7, 8, -4, -7],\n [-10, 3, 5, 4],\n [1, 8, -2, -1],\n [5, 2, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, 4, 4, 8],\n [10, 6, -1, 10, -3],\n [-8, 7, -7, 7, -2],\n [4, -2, 10, 6, -10],\n [-9, -2, -9, -5, 7]]\nB =\n[[-1, -7, 0, -8],\n [8, -9, 5, -7],\n [4, 9, -8, 5],\n [5, 10, -6, 0],\n [0, 2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 7, 3, 1, -1, 6],\n [-10, -9, -9, 6, -1, 1],\n [-4, 5, 1, 5, -9, 7],\n [-10, 0, 10, -6, -9, 1]]\nB =\n[[-4, -6, -2, -5, -1, 2],\n [-9, 1, 3, 8, -6, -1],\n [8, -10, -8, -6, -8, 10],\n [-1, -6, 0, 0, 6, -2],\n [-5, 3, -9, -5, 0, -7],\n [6, 2, 2, -10, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -7, -5, -4, 8, -6],\n [-9, -5, 9, 5, 5, -10],\n [10, -9, 9, 4, 0, -1],\n [2, -4, 6, 0, 0, 8]]\nB =\n[[-10, -8, 10, 10],\n [-3, -9, -10, 4],\n [-3, -6, -7, -1],\n [9, -2, 7, 4],\n [-10, 0, 1, 2],\n [8, -9, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 5, 1, -8],\n [6, -3, -4, 6],\n [6, 9, -4, -6],\n [1, -1, 4, 1],\n [4, -7, -5, -4]]\nB =\n[[-7, -1, -4, -6, 0, -7],\n [5, -9, 3, -2, 4, -9],\n [1, -10, -5, 8, -8, 6],\n [-7, -7, 6, 1, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -8, 10, -9],\n [-4, -4, -1, 7],\n [-9, 10, -9, -3],\n [-5, 8, 4, -6],\n [-7, -9, -6, -8],\n [-7, 6, -8, -1]]\nB =\n[[10, 5, 0, -2, -3, 4],\n [-5, -5, 9, -2, -4, 3],\n [5, -2, -7, 6, -4, 8],\n [-10, 7, -5, -2, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -9, -8, 1, 0],\n [-4, -10, -3, -5, -10],\n [8, 7, -4, -9, -10],\n [-7, 8, -7, 1, -3]]\nB =\n[[7, -3, -5, -1, 1],\n [-8, 3, 7, 8, 5],\n [3, 8, 2, -4, -3],\n [-5, 8, -4, 6, 5],\n [1, 2, 4, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[9, 10, 0, -10],\n [4, -9, 5, 7],\n [1, 8, -6, -6],\n [-8, -4, 0, -5],\n [8, -6, 2, 5],\n [4, 6, 1, 10]]\nB =\n[[5, -8, 7, -2, -4],\n [5, 5, 0, -8, 8],\n [4, -4, -1, 4, -3],\n [9, -8, 5, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 10, -5, -2, -2],\n [-9, 0, 2, -6, -5],\n [4, 10, -1, 0, 7],\n [0, -2, 10, -7, -4],\n [-1, 0, 0, 10, 5],\n [7, -1, -5, -5, 4]]\nB =\n[[-8, -2, -2, -3, 0],\n [-1, 6, -8, -1, -6],\n [-8, 3, 3, -5, -2],\n [2, -3, 6, -1, 8],\n [2, 1, 4, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -8, -7, -4, 6],\n [10, 9, -9, -1, -1],\n [-5, 10, 2, 9, 2],\n [-1, -6, -7, -9, 4]]\nB =\n[[7, 1, -5, -2, -2],\n [5, -10, 8, 1, 9],\n [6, -6, 3, -5, 1],\n [-1, -1, -5, 7, -2],\n [0, -1, 1, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-1, -3, 9, 10],\n [2, 1, -10, 9],\n [-10, -8, -7, -1],\n [10, -6, 10, -10]]\nB =\n[[-7, -9, -6, -6, -8, 6],\n [4, -9, 6, -2, -4, 10],\n [4, -8, 1, -6, 10, 8],\n [-7, 10, -8, 5, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 10, 10, 4],\n [8, 5, -4, -1],\n [0, 4, 9, 0],\n [7, 0, 5, -8],\n [-9, -10, 6, 8],\n [9, -5, 8, -8]]\nB =\n[[-4, 9, -8, 7, 6, -9],\n [5, -6, 0, -9, -4, -6],\n [2, -10, 6, -4, -1, -4],\n [5, -4, -8, 5, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[7, -3, -7, -3],\n [0, -3, 8, 7],\n [-1, -7, 9, 7],\n [-2, -5, 7, 0],\n [2, -1, -2, 3],\n [-6, -8, 9, -3]]\nB =\n[[10, 0, 10, 4, -7],\n [3, 4, 5, 3, 7],\n [-10, 5, -2, -9, 7],\n [10, -6, -6, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 1, -6, -10],\n [7, 9, -1, 10, 7],\n [0, -9, 8, 2, 8],\n [-8, -2, -9, 3, -4],\n [-1, 0, -6, 9, -1]]\nB =\n[[-4, 7, -4, 10, 2, -1],\n [-7, -2, 7, 3, -10, -9],\n [-1, 9, -9, -10, -3, -9],\n [-3, -9, 7, 6, 8, 6],\n [0, 5, 8, 4, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -3, -3, 5],\n [-6, 10, -3, -1],\n [5, -9, -9, 6],\n [-8, -8, -10, 5]]\nB =\n[[-2, -10, -8, -8, 4],\n [4, -6, 5, -6, 0],\n [-7, 10, 3, -5, -2],\n [-3, 4, 6, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "954", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -5, 10, 6, 6, 7],\n [-5, -6, 9, -1, -3, -4],\n [-8, 1, 10, 7, 0, -10],\n [1, -6, -6, 0, 0, 9],\n [5, -3, 1, 2, 1, 9]]\nB =\n[[-9, -1, -4, 1, 6, -4],\n [5, -9, -9, 3, -4, -4],\n [-3, -1, -4, -5, -2, -9],\n [4, 6, -2, 1, 0, -4],\n [1, -5, 7, 10, 10, -6],\n [10, 10, -9, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 0, 3, 1],\n [7, -3, -5, 1, 10],\n [1, 10, 1, -4, 8],\n [5, 5, 0, 10, 0],\n [10, -4, 3, 7, 9]]\nB =\n[[-10, 3, 6, -10],\n [-4, 9, -9, 4],\n [-6, -6, -7, -2],\n [2, -2, -10, -3],\n [-3, -7, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-934", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-1, 7, -1, 4],\n [2, 10, 6, -3],\n [8, 8, 5, -6],\n [3, 3, -7, 10],\n [0, 10, -3, 0]]\nB =\n[[-9, 0, 6, 0, -4],\n [6, -5, 5, 2, 4],\n [6, 2, -2, -8, 4],\n [9, 8, -6, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -7, 5, -10, 9, 3],\n [1, -1, 9, 0, -9, 9],\n [6, -8, 10, -9, -7, -1],\n [-2, 2, -8, -10, 5, -2]]\nB =\n[[8, 3, -2, 7, 9],\n [-7, 8, -10, 5, 1],\n [7, -1, -9, 8, 4],\n [2, 4, -7, -7, -5],\n [3, -10, -9, 10, 1],\n [-10, 3, -2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -4, -6, 9],\n [-3, 1, 2, 1],\n [-6, 4, 6, -2],\n [9, -3, -8, 2],\n [-9, 2, -8, -5],\n [2, -1, 4, -10]]\nB =\n[[2, 8, 9, -3],\n [3, 1, 10, 7],\n [-2, -5, 8, 4],\n [4, -7, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[1, 0, -10, 8, -8, 6],\n [8, 4, 5, -5, -2, -9],\n [-3, -4, 7, -10, 3, 3],\n [9, -6, -5, -2, 5, 8],\n [-7, -8, 4, 4, -8, 2],\n [-8, 8, 10, 3, 4, 0]]\nB =\n[[1, -9, 4, 3, 9, -4],\n [-10, 6, -6, -1, 8, -4],\n [-8, -9, 8, 2, 6, -7],\n [-8, -8, -5, 2, 10, -8],\n [-10, 0, -3, -9, 6, -6],\n [-8, 4, -4, -1, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -9, 2, 3, -10],\n [5, 1, 1, -5, -1],\n [4, -5, -6, -4, 5],\n [-2, 8, -4, -4, -3],\n [-5, 7, 8, 10, -2],\n [-3, 10, -2, -3, 8]]\nB =\n[[10, 10, 3, -1],\n [10, -1, 0, -4],\n [-1, -7, 10, 0],\n [6, -3, 9, 6],\n [-4, -7, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 5, 5, -6],\n [7, -2, -10, -2],\n [-7, 8, 8, -2],\n [-10, 4, 0, 7]]\nB =\n[[5, -3, 9, -10],\n [2, 7, -10, -1],\n [9, 2, -4, 7],\n [8, -3, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -5, 7, 2],\n [-6, -4, -8, -8],\n [-4, -5, -9, 1],\n [-5, 9, 10, 9]]\nB =\n[[-2, -10, -4, 2],\n [-6, -5, 6, 2],\n [8, -9, -3, -10],\n [5, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, -1, 3, -6],\n [-10, 8, -1, 9],\n [8, 4, 10, -1],\n [-5, -4, -7, 1]]\nB =\n[[-10, -3, -7, 1],\n [10, 0, -3, -5],\n [4, 0, -2, -3],\n [3, 8, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, 9, -10, -8],\n [4, 4, 6, -5, 4],\n [4, 0, -5, -8, -2],\n [2, 1, 9, -8, -7],\n [6, 0, 5, -10, 7]]\nB =\n[[-7, -6, -4, 8],\n [-5, 0, -5, -8],\n [-2, -10, 9, 8],\n [-3, -10, 7, 4],\n [4, -7, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[7, -8, 3, 2, -1],\n [-2, 5, 3, 3, 0],\n [9, 9, -1, 5, -2],\n [-6, 1, 2, -3, 8],\n [5, -6, 9, 4, 1]]\nB =\n[[2, -1, 2, -7, -8, -6],\n [8, 6, 1, -9, 7, 7],\n [10, 5, -7, 7, 6, -3],\n [4, 8, 3, 5, 9, -6],\n [9, -8, -8, 6, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[7, 1, -6, 7],\n [-6, 10, 2, -10],\n [-7, 1, -6, 1],\n [-1, 7, 2, -5],\n [-9, 8, -10, 5],\n [-4, -5, -10, 9]]\nB =\n[[2, 0, 0, -5, -3],\n [-5, -7, 2, -2, 2],\n [1, 0, 5, -1, 4],\n [-10, 7, -10, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-9, 5, -2, 8],\n [1, -5, 4, 9],\n [4, 2, 10, -7],\n [-2, -7, 1, 9],\n [3, 4, 5, 9]]\nB =\n[[-9, 10, 3, 1, 9, -10],\n [10, -2, 0, 6, -1, -10],\n [2, 1, -5, -4, 3, -8],\n [-9, -10, -1, -4, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -10, -5, 7],\n [-2, 9, -7, 3],\n [-8, -5, -10, 10],\n [2, -3, 0, -4],\n [10, -1, -4, -1]]\nB =\n[[7, 5, 9, -8, 9, 8],\n [5, 9, -2, -1, 9, 10],\n [2, 1, -1, 7, 1, -8],\n [9, -1, -9, 1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1699", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -6, -4, 7, 6],\n [-7, -4, 5, -5, -5],\n [5, -5, -8, -5, 3],\n [-4, 10, 5, 5, 8],\n [3, -2, 1, 5, -6],\n [-10, -5, 9, 4, 1]]\nB =\n[[-4, -7, 8, 8],\n [-9, -9, 8, 1],\n [4, -6, -10, 7],\n [-7, -10, -6, 3],\n [2, -4, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-6, -2, 0, -3],\n [-6, -10, 6, 3],\n [5, 10, -7, -2],\n [-3, 4, -9, 0],\n [-3, -6, 8, 7]]\nB =\n[[-10, 5, 5, 7, 4],\n [7, -8, -1, 4, -5],\n [9, 2, 1, -4, -6],\n [10, -2, 0, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -2, 8, 3, 10],\n [5, -9, 5, -5, -8],\n [3, 0, 1, -9, 4],\n [10, 8, -1, -2, -9],\n [-7, 6, -5, -8, -9],\n [-8, 9, 0, 9, -6]]\nB =\n[[-3, -1, 7, -5],\n [-9, 7, -9, 0],\n [4, 5, 5, 8],\n [6, 10, -2, 9],\n [-9, -2, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 5, 5, -7, -5],\n [-3, -10, -6, 9, 2],\n [6, -8, -6, -1, 5],\n [8, -6, 9, -7, 0],\n [-6, -6, 9, -3, -10],\n [4, 1, 6, -10, 1]]\nB =\n[[6, -1, -1, -8],\n [-3, 6, -6, 5],\n [-7, -3, 9, 2],\n [-9, 0, -5, 7],\n [3, 5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -5, -3, 8, -4],\n [-3, 5, 8, -10, 3],\n [2, -7, 7, -2, -2],\n [8, -2, 2, 3, 10],\n [0, 5, -6, -1, -1],\n [-7, 1, 8, 8, -2]]\nB =\n[[4, -2, 2, -3],\n [-9, 5, 8, -10],\n [-4, 8, 10, -8],\n [-8, -6, -6, 6],\n [-3, -4, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 3, -10, 1, -7],\n [3, 8, -6, -1, -5],\n [-7, -3, 3, -6, -4],\n [-1, 8, -3, 5, 0]]\nB =\n[[-3, -7, 6, 4],\n [9, -9, -9, 7],\n [-2, 0, 10, -10],\n [-6, -5, -6, 0],\n [-7, -9, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -8, -9, -6],\n [3, 2, -5, -9],\n [-8, 9, 3, -10],\n [-3, 9, 6, -3],\n [-3, 6, 9, 0]]\nB =\n[[8, -6, 5, -9, -7],\n [0, 10, 9, 7, 8],\n [5, 1, 4, 8, -5],\n [7, -9, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "766", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 10, -8, -6, -8],\n [-9, 0, 2, -4, -8],\n [4, -2, -4, 1, 0],\n [-3, 7, 9, -9, 1],\n [-4, 2, -10, -10, 5],\n [10, -4, 4, -10, 10]]\nB =\n[[5, -1, -10, -6, -7, 2],\n [9, 3, 6, -3, 6, 4],\n [7, -2, -5, -5, 6, 0],\n [-6, 9, 10, -8, -9, 6],\n [-5, -4, -6, 9, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[5, -2, 10, 0, -6, 9],\n [-3, 7, -3, 6, 0, -8],\n [0, 5, -10, 10, 2, -7],\n [4, 5, -7, 7, 7, -2],\n [1, 8, 5, 9, -2, 0],\n [8, 0, 3, 7, 1, -8]]\nB =\n[[-8, 1, 0, 8, -5],\n [6, 10, 8, -2, -6],\n [8, 6, -7, -9, -1],\n [0, -1, 6, 9, -10],\n [-2, -2, 1, 9, 6],\n [-9, 5, 9, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[0, -8, 10, 10],\n [2, 7, -2, 0],\n [9, 0, 5, -1],\n [7, 8, -6, 6],\n [-3, 5, -8, 5]]\nB =\n[[-8, 5, -6, 8, -7, -10],\n [5, -10, -8, 9, -4, -9],\n [5, -6, -6, 7, 4, -10],\n [-4, -3, 10, -6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 7, 4, -6, 4],\n [-8, -9, -7, -10, 0],\n [-2, 4, 2, 7, -9],\n [8, 8, 7, -7, -7]]\nB =\n[[1, -3, 4, 9, 7, -4],\n [-3, 0, -3, -6, 0, -5],\n [4, -9, -2, -10, 2, -3],\n [-3, -4, -7, 6, -1, 7],\n [0, -3, 8, -1, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -7, 4, -6, -6],\n [9, -8, -4, -2, 8],\n [-8, -4, -8, 2, 3],\n [2, 6, 8, 9, -3],\n [-5, 7, -8, 3, 4],\n [6, 5, -2, -5, 5]]\nB =\n[[2, -8, -10, 5, -2],\n [-7, 7, -6, -8, 7],\n [4, -3, -2, -4, 6],\n [-7, -1, 7, 7, -5],\n [-9, -10, -5, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1821", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 5, 3, 7, -5],\n [6, -10, 3, -5, -5],\n [-7, -7, 9, 5, -3],\n [2, 4, 0, -6, 1]]\nB =\n[[4, 6, -4, -6, -3],\n [4, -9, 2, -5, 9],\n [-9, 9, 7, -7, -9],\n [9, -5, -5, 3, -3],\n [1, 7, -10, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, 7, -8, 7, -7],\n [-2, 4, 10, -8, 9],\n [8, 8, 0, -7, 9],\n [5, 9, 6, 6, -6]]\nB =\n[[0, -7, -6, 10],\n [1, 9, -10, -9],\n [-5, -1, -7, 7],\n [4, -6, -5, -6],\n [7, -9, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, -10, -5],\n [2, 8, -9, -4],\n [0, 2, 10, -9],\n [-10, -6, 4, -7],\n [2, 4, 7, 2]]\nB =\n[[10, -3, -10, -6, -2, 10],\n [-2, -10, -9, -7, 8, 5],\n [-5, 6, 9, -5, -9, 1],\n [8, 7, -8, 0, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, -6, -8, -3, -6],\n [0, -1, -1, 7, 3, -9],\n [-5, 8, -9, -6, 1, 4],\n [-1, -5, 0, 1, -8, 3],\n [-5, 8, 10, 4, 3, -2],\n [-4, 5, -5, -1, 3, 9]]\nB =\n[[4, 6, 0, -6],\n [-4, 7, 2, -1],\n [10, 1, -7, 8],\n [4, -6, 4, -9],\n [-2, 8, -8, -6],\n [10, -3, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 1, 2, 8, 1, -8],\n [-9, -3, 8, -4, -10, 3],\n [7, 0, -7, -10, 10, 5],\n [9, -5, 10, -8, 5, -1]]\nB =\n[[-9, 3, -9, -5, 7],\n [-4, 9, 1, -5, 10],\n [1, -1, 0, 3, 6],\n [0, 4, 3, -1, 9],\n [2, -10, -2, -9, -9],\n [9, -7, -6, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-7, -1, -10, -9, -9, 7],\n [7, -5, 9, -4, -3, -6],\n [2, 0, 4, -1, 2, 5],\n [-4, -7, 7, -3, 3, -4],\n [-2, -4, -8, -2, 8, -9],\n [9, 4, 3, -5, 5, -9]]\nB =\n[[-4, 10, -4, 4, -8],\n [3, -7, 3, -8, 9],\n [-2, -7, 3, 4, 3],\n [-3, -5, -3, -3, -7],\n [0, -3, -5, -8, -6],\n [5, -3, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, -8, 3],\n [-3, -6, 8, -8],\n [10, 6, -7, 8],\n [-4, 3, -7, -7]]\nB =\n[[-3, -9, 6, -10, 4],\n [6, -5, 4, 6, 7],\n [4, 7, -8, -8, -10],\n [-9, -4, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[10, -6, -2, -4, -6, 8],\n [10, -6, 10, -3, 7, -5],\n [3, 1, 4, -9, 5, 8],\n [-4, -6, -9, 4, 0, 5]]\nB =\n[[-8, 9, -9, -6],\n [10, 10, -2, 8],\n [3, 10, 1, -6],\n [-10, -3, -8, -7],\n [-3, 3, 10, -2],\n [-9, -2, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, -3, -9, 8],\n [-8, 8, 6, 2, 3],\n [-10, 1, 9, -7, -1],\n [-6, -8, -1, 5, -1],\n [-7, 10, -6, 10, 5]]\nB =\n[[5, -4, 0, 4, 1],\n [-9, 8, -4, 7, 3],\n [-7, -2, -8, -7, 9],\n [4, -1, 1, 4, -2],\n [7, 9, 8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-3, 1, -3, 8, -10],\n [4, -4, 0, -8, -4],\n [-3, 10, -2, 1, 9],\n [2, 2, 4, -3, -10],\n [4, -7, -2, 2, -2]]\nB =\n[[6, 7, 9, 8, -9],\n [1, -8, 6, -6, 4],\n [8, 9, -2, -10, 6],\n [0, -6, 1, -6, 5],\n [5, -1, 9, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 0, -4, 1, 0],\n [-9, 9, -4, -3, -8],\n [-3, -5, 0, -2, -6],\n [-7, 10, -7, -8, 4]]\nB =\n[[-2, -1, 4, 1, -3],\n [7, 6, -8, 4, 8],\n [-10, 5, -7, -7, -2],\n [-10, -3, 7, 10, -10],\n [5, 10, 9, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 9, -7, -8, -3, 9],\n [7, 7, -5, -8, 5, 2],\n [9, -4, -1, 7, -3, -9],\n [2, 5, -5, -8, -6, -7]]\nB =\n[[5, 4, -1, -7, -7, 4],\n [-7, -4, 0, -4, -10, -10],\n [8, -4, 8, -4, -3, 2],\n [-1, -9, -6, -6, 4, 3],\n [3, 0, 8, -5, -5, 1],\n [4, -6, -6, 10, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-521", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, -8, -5, -4, 4],\n [-6, 6, -1, 1, 4],\n [-1, 8, 10, 5, -5],\n [-9, 0, -5, 0, 9],\n [6, 6, -3, 8, 9]]\nB =\n[[-7, -2, -6, 3, -8],\n [4, -8, -3, 3, 0],\n [-1, -1, -3, 9, -1],\n [10, 3, -8, 6, -4],\n [0, -3, -6, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 7, 5, 9, -2],\n [-5, 5, 1, -6, -1],\n [-2, -10, -10, -7, -8],\n [1, -9, 0, 8, 6],\n [7, -10, 0, -2, 8]]\nB =\n[[0, -7, -5, 10, 9],\n [5, 7, 2, -4, -6],\n [3, 6, -3, 0, -6],\n [-1, 5, -9, 8, 10],\n [5, 5, 7, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1926", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -6, 7, -3],\n [8, 8, 4, 6],\n [4, 0, -9, -7],\n [5, -4, 8, -8]]\nB =\n[[-9, -5, 3, -7, -9],\n [6, -10, -9, -9, 10],\n [1, 6, 3, -4, 10],\n [-2, -6, 6, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, 5, -7, 9],\n [5, 2, -3, -5, -2],\n [-2, 4, -1, 0, 9],\n [2, -5, 2, -8, 0],\n [8, 2, 5, -9, 3],\n [-5, -7, 1, -1, 4]]\nB =\n[[-8, 10, 7, 0],\n [-6, -3, 6, 1],\n [9, -7, 6, -9],\n [5, 4, -9, 8],\n [-10, -7, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 4, -7, -6, 10, -4],\n [-6, -2, 0, -5, 4, -4],\n [5, -10, 6, -10, 1, -8],\n [6, 1, -1, 4, -7, 4],\n [-9, -7, 2, -7, -9, 6],\n [6, 0, 4, 2, -7, -1]]\nB =\n[[0, 6, -2, 7, 5, -10],\n [1, 3, 7, -6, 0, 4],\n [-10, 8, -5, -5, -5, 2],\n [0, 2, -7, -5, -10, 8],\n [2, -8, 6, 1, 1, -2],\n [0, 6, 2, 7, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, 1, -7, 5, -8],\n [10, 1, -3, 4, 1, 4],\n [0, -2, -5, 2, -6, 5],\n [5, 2, 7, 0, 10, 7],\n [1, -8, -7, -8, -7, 10]]\nB =\n[[-3, 7, -8, 6],\n [-7, 10, 3, -4],\n [-5, -6, 10, 7],\n [-8, -1, 3, 5],\n [7, -6, -1, -2],\n [-9, -2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -7, -4, 4, -1],\n [-2, -6, -2, 10, -9],\n [8, 2, 10, -2, 2],\n [-2, 2, 5, 9, 3]]\nB =\n[[-8, -9, -6, 8, 4],\n [-5, 3, -9, -2, -5],\n [-5, 9, 3, 10, -3],\n [8, -8, 2, 0, -9],\n [-2, -10, 10, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[7, 6, -10, -3, 6],\n [-10, -2, 8, -9, 3],\n [8, -6, -6, 2, 7],\n [10, -10, -9, -1, -7]]\nB =\n[[0, 5, 6, -6, -10, 8],\n [-7, 9, -2, 8, -10, 10],\n [1, -7, -2, -7, -9, 10],\n [-5, -5, 6, 6, -3, 2],\n [8, 10, -10, 6, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -4, 4, 4, -2, -5],\n [3, 0, 7, -4, 3, 9],\n [-10, -8, 8, 9, -5, 3],\n [-4, -2, -5, 9, -6, 9]]\nB =\n[[3, 0, -9, -1, -2, -7],\n [9, 7, 8, -4, -9, 5],\n [-2, -8, -3, 0, 0, -7],\n [0, -10, 10, 3, 4, 2],\n [4, -9, 7, -4, 4, -4],\n [6, 6, 8, -2, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 8, -2, -2, 1],\n [2, 6, -5, -1, 2],\n [6, -2, -8, -3, -9],\n [-9, 4, -5, 0, -7]]\nB =\n[[10, 10, -8, -10],\n [-1, 1, -7, 5],\n [-5, 8, 9, 1],\n [1, -6, -2, 4],\n [-8, -10, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-8, 6, 0, -3, 5, 1],\n [-2, 8, 3, 10, -5, -7],\n [4, 2, 4, 1, -7, 9],\n [9, 4, -6, -7, 10, -4],\n [-3, 1, 5, 3, 1, -9],\n [-7, -4, -6, 3, -7, 5]]\nB =\n[[2, 7, -1, 3, 0],\n [0, 4, -6, 8, -3],\n [-5, 7, -4, 10, 6],\n [-10, 3, -2, 2, -6],\n [-1, 9, -3, -1, -10],\n [-7, -9, 6, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -2, 2, 1],\n [-5, 9, -8, 8],\n [-8, 0, -7, 3],\n [-6, 7, 10, 7],\n [-8, -5, -8, 4],\n [-2, 8, -5, 2]]\nB =\n[[3, 0, 3, -10, -10, -1],\n [-6, -6, 2, 1, -7, 8],\n [-8, 1, -2, 7, 0, 1],\n [0, -5, -6, 6, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1692", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-2, 0, 7, -3, -3, -1],\n [-7, -5, -6, 10, 1, 6],\n [10, 1, 1, 1, 0, -9],\n [6, 3, -5, 8, 9, 5],\n [0, -8, 8, 6, 5, -3],\n [-9, -9, 8, 8, -1, -1]]\nB =\n[[7, 2, 5, 8, 7],\n [-2, -2, -10, 6, -5],\n [-5, -10, -4, -8, -6],\n [7, -8, 7, -7, 7],\n [10, 8, 6, -4, 10],\n [-10, -2, -10, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[5, 3, 2, -10, 6],\n [10, 8, -2, 7, -6],\n [3, -4, 9, -6, 4],\n [10, -9, -10, 6, -6]]\nB =\n[[2, 2, -8, 4],\n [5, 8, 0, 0],\n [-10, -6, -6, -8],\n [-7, 3, 3, -5],\n [-10, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[1, -9, -2, -6],\n [4, 6, -6, 1],\n [-8, 10, -4, 4],\n [-6, 8, 4, 3],\n [2, 8, -4, -4]]\nB =\n[[5, 2, 3, 8, 5],\n [3, -7, 1, 7, -4],\n [7, -5, 8, -8, -2],\n [-6, 7, 8, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, 4, 4, -4],\n [-2, 0, -6, 2],\n [-4, -2, 3, 2],\n [10, 6, 2, -2]]\nB =\n[[2, -7, -6, 6, -8],\n [9, -7, -10, 9, 5],\n [2, -1, -5, -9, 0],\n [6, 10, 6, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -7, 6],\n [-2, -10, -5, -9],\n [10, -4, -10, 1],\n [8, 5, -6, -1],\n [5, 9, 1, 10],\n [10, 9, -5, -5]]\nB =\n[[10, 6, -2, 5, 3, 4],\n [9, 9, -3, -1, -10, 7],\n [9, -4, -5, -2, 4, -6],\n [-6, 0, 3, -4, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2497", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 6) of the result:\nA =\n[[5, -7, 4, -9, -4, 8],\n [-2, 5, -7, -6, 2, -4],\n [5, -9, 1, 3, 2, -3],\n [5, -7, 0, -3, 0, 6],\n [5, 8, -10, -5, 9, 3],\n [-10, -1, -4, -9, 10, 4]]\nB =\n[[-10, 6, 7, -4, -8, -7],\n [-10, -3, 0, -2, -6, 9],\n [-9, -10, 6, 4, 7, -1],\n [-1, 3, -6, 9, 9, 7],\n [6, 6, 10, -2, -1, -4],\n [-5, 4, 3, 10, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[8, -9, 3, -6, -2, 6],\n [0, -8, 10, -5, -3, 9],\n [6, -8, -2, 6, -5, -9],\n [6, -9, 0, -9, 1, 8]]\nB =\n[[1, -3, 5, 3, 5],\n [-10, -1, 8, 5, 9],\n [-6, 2, -4, 5, 0],\n [-9, 0, 3, 0, 10],\n [1, -9, 4, 6, 10],\n [8, -2, 1, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 10, -9, -1, 3, 10],\n [-9, -1, -10, -6, 10, 7],\n [-4, 4, 3, 10, 0, -1],\n [6, 9, 7, 4, -7, -2],\n [-5, -6, 8, -5, -5, 5],\n [2, 10, -3, 2, -2, -6]]\nB =\n[[10, -4, -6, -4, 0, 10],\n [8, -8, 0, -2, 3, -6],\n [-6, 0, -3, 2, -5, -9],\n [-8, 7, 7, -10, -3, -4],\n [-2, 6, 0, 5, -1, 1],\n [10, -3, 10, 9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2824", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -10, -6, -10, 10, -8],\n [-6, 9, 8, -2, 10, -8],\n [-8, -6, 6, 3, -10, 2],\n [-10, 5, 7, -5, -3, -10],\n [7, -7, 10, -8, 10, -3],\n [-2, -3, 2, 0, 5, -4]]\nB =\n[[-6, 4, -4, -1, 6],\n [1, 7, 6, -1, 5],\n [1, -3, -9, 6, 3],\n [6, -9, 3, 0, 8],\n [-10, -1, 1, -3, -2],\n [6, 0, -2, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1011", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 4, 6, 4, -10, 0],\n [-3, -9, 4, -3, -8, 0],\n [3, -9, -7, 8, -9, -5],\n [-3, 1, 10, -4, 9, -7]]\nB =\n[[-1, 8, 5, -6, -8],\n [-5, 2, -2, -7, 5],\n [0, -2, 8, 7, 5],\n [2, 0, 10, -9, 6],\n [5, -1, -5, -3, 10],\n [-8, -3, 9, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, 5, -9, 4],\n [-3, 10, 9, -8],\n [7, 1, 1, -10],\n [5, -5, -3, 7],\n [6, -1, 1, 2],\n [5, -3, 10, -8]]\nB =\n[[-6, 6, 6, -2, 5, -10],\n [5, 6, 4, 6, -4, -8],\n [-1, 1, 8, -5, -3, -1],\n [5, 5, 9, 4, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[8, 0, -2, 10, 5],\n [5, 3, -10, -2, -7],\n [4, 8, 7, 6, 2],\n [-7, 9, -3, -10, -1],\n [1, -4, 4, -10, -2]]\nB =\n[[-4, -3, 5, 7, 2],\n [1, -6, -2, 10, -8],\n [-4, 3, 4, -3, 0],\n [-10, -7, -4, -6, 9],\n [5, -5, 6, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-5, 7, 0, 1, -6],\n [-1, -5, 1, 4, -10],\n [3, -3, 3, -10, 6],\n [-1, -3, -2, -6, -4],\n [-1, -1, 7, 4, 8]]\nB =\n[[1, -6, -10, 3],\n [10, -7, -9, -10],\n [8, 3, -10, 3],\n [1, -4, 0, -5],\n [-8, -1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -2, -8, -3],\n [-7, 1, 4, 7],\n [-5, 7, -10, 8],\n [4, -4, -2, -5],\n [-8, -6, 3, 5],\n [-6, -7, 3, -9]]\nB =\n[[-3, -4, -2, 8, -1],\n [9, 0, 6, 0, -1],\n [8, 10, -7, -1, 0],\n [4, 7, -7, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1508", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[0, 2, 3, 3],\n [6, 5, 6, 6],\n [8, -3, 10, -10],\n [1, -3, -4, -6],\n [-6, -5, 2, -2],\n [7, -8, -8, -8]]\nB =\n[[8, -5, -7, 1],\n [-2, 4, 8, 2],\n [-6, 9, 7, 1],\n [-2, -10, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -2, -1, -4],\n [-1, 8, 4, 2],\n [-10, -2, -8, 0],\n [-1, -4, 1, 7]]\nB =\n[[-3, -10, 6, -8],\n [1, 2, 10, -4],\n [7, 10, -4, 3],\n [1, 8, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, 7, 0, 3, 5],\n [-6, -9, 0, -2, 9, -9],\n [-10, 4, 8, 6, 2, -10],\n [8, 5, -8, 4, -8, -9],\n [2, -9, 6, -9, 5, 0],\n [9, 8, 3, -3, -10, -2]]\nB =\n[[-3, 8, 5, -10],\n [5, -7, 2, 5],\n [-5, -8, -8, -8],\n [-7, 9, 2, 6],\n [-6, 9, 6, 3],\n [-1, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-4, -1, 5, -2],\n [-1, 7, 3, -9],\n [7, 1, -8, 3],\n [0, 10, -1, 4]]\nB =\n[[5, -9, 5, 5, 8],\n [-8, 9, -3, -4, 2],\n [-5, -6, 4, 10, 0],\n [-10, -8, 10, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, 2, -8],\n [4, 6, -5, 10],\n [-5, 10, 10, -6],\n [-7, 9, -3, -5],\n [-3, -5, -1, -6],\n [-7, -4, 3, 0]]\nB =\n[[5, -2, -4, -2, -7],\n [3, -9, -1, 0, -8],\n [-7, 5, 2, 5, -3],\n [8, -7, -10, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -9, 4, -10, 10, 4],\n [-6, 9, -1, 0, -3, 0],\n [-4, 10, 6, -1, 10, 2],\n [-9, 9, 6, -3, -10, 7]]\nB =\n[[6, 7, -7, 1],\n [8, 2, 0, -7],\n [-4, -9, 9, -5],\n [9, -2, 9, 10],\n [3, 10, 1, 10],\n [-2, -6, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-612", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 3, -3, 1],\n [9, 7, -6, -3],\n [3, 0, -3, 6],\n [-6, 4, 10, -9],\n [-5, -1, -10, 9]]\nB =\n[[10, 3, 4, 2, -4],\n [9, -5, 9, 6, -9],\n [-4, 7, 7, 8, -4],\n [-3, 1, -7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1388", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 6, 9, -5],\n [-6, -4, -9, 8, -6],\n [0, -7, -8, 4, -9],\n [-2, -10, -9, 5, 10],\n [10, 9, -2, 2, -1],\n [-4, 7, 8, -2, -1]]\nB =\n[[6, -4, 9, 1, 8, 2],\n [-4, 4, 4, 2, 10, -9],\n [5, -2, -2, -2, 3, -6],\n [-2, 1, 8, 1, -6, -4],\n [2, -7, -10, -5, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 2, -4, -10, 1],\n [-6, -6, -2, -2, -10],\n [-3, -4, -5, 9, -7],\n [5, 6, 5, 10, 7],\n [-2, 6, -7, 10, -8]]\nB =\n[[-3, -9, 10, -3, 9],\n [-5, -2, 7, 3, -1],\n [7, -6, -5, -6, 5],\n [9, 5, 6, 7, -4],\n [6, 3, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -10, 6, 1, 9, 7],\n [4, -6, -10, 8, -4, -7],\n [0, 9, 4, 4, 7, -4],\n [7, 0, 0, -7, -6, -1],\n [-4, -5, -2, -1, -2, 3]]\nB =\n[[-4, -3, 1, -10],\n [-5, -1, 0, 3],\n [7, -7, 6, 2],\n [-3, 10, -1, -6],\n [1, -10, -6, 0],\n [5, 4, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, -1, 8, -2],\n [-9, 7, 2, 3, -5],\n [3, 7, -1, -2, -4],\n [9, -10, 9, 1, -6],\n [1, -9, 10, 10, -10],\n [2, -1, 9, 7, 10]]\nB =\n[[-9, -3, 0, 4],\n [-2, 9, -1, 7],\n [0, 5, -2, 4],\n [9, -9, 5, -9],\n [-10, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -8, -6, 7, -2],\n [-9, 0, 4, -7, 1],\n [4, -2, 4, -5, 6],\n [-6, -1, -9, 2, 5],\n [-10, -7, 5, -5, -3]]\nB =\n[[-1, -8, 0, 0, -3, -10],\n [1, -2, -5, 3, -1, 0],\n [1, 7, 1, 6, -9, -2],\n [9, -10, 6, 4, 10, 4],\n [-5, -7, 10, -4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1858", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-10, -2, 1, 3, 10, -7],\n [2, 7, -9, -3, 10, -5],\n [9, 8, 1, 4, 10, 2],\n [-2, -1, -2, -2, -9, -7]]\nB =\n[[1, 4, -5, 2, -1],\n [5, -6, -2, 7, -5],\n [-2, 8, 7, -4, 9],\n [8, -4, -5, 5, 7],\n [-7, 9, -6, -8, -9],\n [9, 6, 7, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-9, -8, 4, -5, -5],\n [-9, -1, 3, 7, -1],\n [-7, 2, -10, -9, 0],\n [9, -3, 7, 2, 9],\n [7, 2, 6, -7, 4]]\nB =\n[[-1, 2, 4, -10, -8, -9],\n [6, 4, -7, -6, -7, 10],\n [-9, 1, -8, 1, -3, 9],\n [-7, -1, 9, -5, -2, 4],\n [0, -6, 7, -4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 9, 9, -2, 10, -4],\n [-10, 10, -7, 2, 8, 10],\n [-7, 1, -9, -1, -1, 8],\n [7, 3, -7, 7, -3, -3],\n [0, -9, -7, -2, -2, -6]]\nB =\n[[-7, -7, 1, 5, 1, 0],\n [1, -5, 3, -4, 2, 10],\n [-4, -6, -9, -10, -1, -2],\n [-2, 7, 10, 1, 8, -8],\n [-5, 2, 2, -6, 10, 7],\n [-4, -9, -9, 4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2252", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, 1, -2, 2, 3],\n [-8, -2, -5, -10, -6, 7],\n [-9, -9, -1, 8, 5, 10],\n [8, 6, -1, -8, 3, 2],\n [2, -7, -9, -2, -10, 6],\n [-1, 5, -5, 5, 1, -5]]\nB =\n[[-10, 5, -3, 10],\n [-8, -6, 4, -10],\n [-2, 2, 2, 7],\n [8, -5, 4, 3],\n [7, 1, -1, 2],\n [8, 4, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -3, -1, -7, -1],\n [-9, -7, -10, 8, 0],\n [4, 2, -10, 0, -7],\n [0, 5, 7, 7, -3],\n [10, 8, 1, 5, -4],\n [-5, -4, 0, -10, 1]]\nB =\n[[2, -7, 0, 5, -6, 2],\n [5, 3, 7, 7, -8, 6],\n [9, -8, -5, -9, 10, -3],\n [5, -5, 4, -8, -6, 0],\n [-1, -3, -2, 7, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -2, -4, 2],\n [-9, -8, -3, 6],\n [-2, -2, -10, -8],\n [-6, 5, 1, -4]]\nB =\n[[-9, -3, 4, 0, -7],\n [-8, -10, 1, -3, -6],\n [-4, -5, 2, -9, 1],\n [-9, -1, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1165", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[3, 0, -5, 0, 5],\n [5, -5, -2, 2, -2],\n [-4, 1, -4, -10, -7],\n [3, 8, 9, 7, -3]]\nB =\n[[-7, 4, -7, 7],\n [7, 6, -3, 6],\n [9, -1, -7, 10],\n [8, -8, -2, -3],\n [-6, 3, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 8, -8, 1],\n [5, 7, 9, -6],\n [6, 8, -5, -7],\n [-1, 4, -6, -6],\n [-2, 1, 6, -4]]\nB =\n[[4, 0, -8, 1],\n [5, -2, 8, 3],\n [1, 5, -10, 9],\n [0, 0, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[10, 0, 10, 4, 10],\n [7, -3, 10, -5, -5],\n [4, 5, 4, -1, -7],\n [4, 7, 0, 7, 8],\n [-6, -8, 0, 4, 7],\n [7, -7, 0, 4, 3]]\nB =\n[[-2, -8, 7, 10],\n [7, -8, 5, -2],\n [-3, 6, -3, 5],\n [9, 9, -7, 9],\n [2, -3, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -6, -4, 7, -1],\n [4, 1, 4, 0, -4],\n [-7, 10, 9, 10, -1],\n [10, -5, 8, 4, -8]]\nB =\n[[6, 3, 5, -1, -5],\n [5, -6, 9, -5, -2],\n [9, -3, -9, 6, 1],\n [-8, 0, -1, 7, -2],\n [0, 5, 6, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-8, -5, 5, 7],\n [-4, 10, 1, -10],\n [-9, 5, -6, 6],\n [4, -8, -1, 4],\n [-9, 2, -6, -5]]\nB =\n[[-4, -7, -1, -5],\n [3, 9, -1, -5],\n [9, -1, -1, 5],\n [-8, -6, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, 4, -1, 6],\n [-5, 8, 10, -7, 7],\n [9, -1, 2, -2, 8],\n [-2, 1, -10, -3, 9]]\nB =\n[[6, 5, 5, 5, 8, 8],\n [8, -8, 3, -2, 3, 7],\n [7, 4, -8, -1, -9, -3],\n [8, 0, 7, 0, -4, 6],\n [3, 1, -7, -8, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, 5, -9, -10, -4, 4],\n [2, 2, -6, -5, 1, -5],\n [9, -1, 10, -8, 3, -6],\n [4, 8, 3, 10, -10, 4]]\nB =\n[[-7, 3, -8, -10],\n [-4, -2, -8, 0],\n [0, -9, 3, -5],\n [-3, -1, -2, -1],\n [2, 2, 6, -7],\n [-8, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, 0, 10],\n [-3, -3, 1, 7],\n [4, 2, -1, 3],\n [1, -4, 2, 7],\n [5, 7, 2, 1]]\nB =\n[[2, 6, 0, 5, 3, 3],\n [-7, 5, -10, -10, 0, -1],\n [-9, -1, -1, 4, 2, 3],\n [1, 8, -6, 10, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 5],\n [-5, -10, 7, -9],\n [-8, 6, -9, 2],\n [-4, 3, 10, 1]]\nB =\n[[-10, -3, 6, 8, 6, 8],\n [-8, -6, -6, -2, 7, -3],\n [-6, 10, -1, -9, -9, -9],\n [1, -8, -10, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -10, -1, -10],\n [5, 2, 1, -4],\n [-10, 0, 10, -5],\n [-5, 6, -3, 2],\n [1, 8, 7, 4]]\nB =\n[[-3, 10, 8, -3, 7, -3],\n [-5, -9, -4, 3, -2, 2],\n [5, 3, -10, 5, -1, -9],\n [-6, 2, -9, 8, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-370", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -3, 3, -7],\n [9, 2, 7, 5],\n [-6, -4, -7, 0],\n [-1, 1, 6, 7],\n [-5, -8, 3, 7],\n [4, 1, 6, -8]]\nB =\n[[-2, -6, 7, -10, -2, 8],\n [-1, 7, 3, -8, 8, -7],\n [3, 1, 6, -2, 4, 3],\n [4, 5, -10, 5, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 10, 0, -5, -7, 4],\n [-8, 7, 3, -10, -7, -4],\n [-6, 7, -7, -5, -9, 2],\n [-5, 10, 10, -6, -5, 9]]\nB =\n[[-5, -5, -8, 0, -9],\n [-2, 5, 9, 1, -6],\n [-5, 2, 10, 3, 4],\n [-1, 7, 2, -5, 4],\n [6, 0, -2, 7, -4],\n [-6, -9, 10, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, -6, 3, 5, 2],\n [5, -10, 8, -9, 2, 6],\n [6, 4, -10, -1, 7, 8],\n [4, -2, -8, 6, 9, -1],\n [7, 1, 0, 2, -10, -4]]\nB =\n[[-2, 5, -3, -8],\n [-5, -3, -3, 5],\n [-2, -1, 6, -5],\n [-1, -1, 8, 6],\n [-1, -7, 3, 0],\n [-5, 5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 8, 1, 1],\n [7, -9, -10, -2],\n [6, 1, -10, -2],\n [3, -6, 7, 0],\n [0, -6, -3, 4]]\nB =\n[[8, -6, 9, 2, 9, -6],\n [0, 7, 9, -10, -7, -8],\n [-4, 6, 8, 1, -10, -7],\n [1, 1, -9, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -10, 4, 5],\n [9, -6, 9, 10],\n [8, -9, 2, 4],\n [10, 3, -8, 0],\n [-3, -4, -8, -3]]\nB =\n[[6, -1, 7, -6, -8, -6],\n [5, -1, 6, -9, 4, 4],\n [2, -3, 10, -5, -6, -4],\n [5, -2, -6, -10, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-604", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 9, 2],\n [9, -7, 2, 8],\n [5, -2, -4, 3],\n [0, -9, -10, 6],\n [-8, -1, -4, 9],\n [10, 10, -2, 5]]\nB =\n[[2, 9, -5, 9, 6],\n [3, 6, 7, 2, 3],\n [5, 7, 1, 1, 2],\n [0, 0, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1509", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -2, -7, 5],\n [-10, -7, -7, 0],\n [-5, 9, 7, 8],\n [4, -4, -9, -8],\n [-5, -4, -1, -4]]\nB =\n[[2, 10, 5, 0, 4, -9],\n [-2, -2, -6, -2, 3, 3],\n [5, 6, 5, 6, -7, 2],\n [2, 6, 5, 0, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-460", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -10, 7, 5, 10],\n [-1, 7, 9, -1, -8],\n [-1, -10, 3, 0, -8],\n [-5, 10, 2, 0, -9],\n [5, 2, 2, -6, -3],\n [6, 4, 9, -1, -7]]\nB =\n[[-1, -6, 5, -9],\n [-1, 4, 9, 5],\n [-8, 3, 1, -9],\n [7, -1, -7, -2],\n [-2, 10, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-860", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-3, -5, -7, -1, 9],\n [-7, 8, -2, -4, 9],\n [-5, 0, -6, 10, -2],\n [-9, 7, 3, 6, 8],\n [-10, -9, -2, 9, 9],\n [-5, -4, 9, -6, 0]]\nB =\n[[5, 4, -6, 9, 3],\n [4, -2, -2, 5, -7],\n [8, -3, -2, -3, 4],\n [-6, -5, -3, -10, 0],\n [7, 10, -4, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 8, 1, 2, -5, 7],\n [-10, -1, -3, 1, -10, -7],\n [0, 3, 6, -5, 6, 6],\n [7, -10, 0, -2, 7, -5],\n [6, 4, 3, -3, -8, 4],\n [4, -10, 3, 10, 3, -3]]\nB =\n[[-5, 8, 7, -1, -9, 3],\n [9, 8, -1, 0, -8, 2],\n [-2, -2, 1, -4, 9, -4],\n [-7, 5, -4, -2, 4, 1],\n [-3, 2, -10, -5, -9, 2],\n [-1, -4, -9, 4, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1916", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, 8, 8, -2, -1],\n [2, 3, -3, 8, -9, -8],\n [1, -8, 10, 0, -1, -2],\n [1, 0, -10, 4, 7, 6],\n [-4, -8, -5, -1, 10, 2],\n [9, -1, 0, 2, -8, -3]]\nB =\n[[3, 4, 8, 2, 9, 2],\n [1, -7, -4, 5, 0, 10],\n [-2, 10, -5, -1, -3, 8],\n [3, -10, -8, -2, -8, 5],\n [5, -8, -10, 5, -1, 2],\n [-5, -9, 3, 6, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 7, -7, -4, 9],\n [3, 10, -4, 10, -10],\n [4, -10, -1, 1, 8],\n [2, -10, 7, 2, -1]]\nB =\n[[-2, 6, -5, 7],\n [2, 3, 3, 4],\n [-9, -3, 9, -4],\n [-9, 7, 8, 2],\n [-5, 10, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, -8, 2, -1],\n [6, 7, 0, 4, 8],\n [5, -5, 6, -5, 5],\n [-10, 7, -8, -8, 4],\n [5, 7, -2, 4, -8],\n [-3, -8, -8, 3, -9]]\nB =\n[[3, -9, 9, 9, 1, 3],\n [4, -3, -6, 7, 0, 3],\n [-3, 8, -6, -1, -8, 0],\n [8, 8, 9, -9, -8, -3],\n [3, -4, -4, -5, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, -5, -4],\n [-8, -10, -4, 10],\n [0, -10, -10, 3],\n [-3, 6, -1, 3],\n [6, -3, -4, -9]]\nB =\n[[-6, -4, -4, 7],\n [-10, 7, -5, 5],\n [-8, -1, 2, -4],\n [-9, 5, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1517", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 3, 0, 10, 6],\n [-7, 7, -5, 8, 6],\n [-3, -8, -3, -2, 10],\n [0, 0, 2, -6, 5],\n [-1, -6, -7, 7, -7],\n [10, -3, -10, -10, 3]]\nB =\n[[-1, -4, 6, 6],\n [-3, -8, -6, 6],\n [-1, -5, -4, -8],\n [2, -10, -8, -3],\n [3, 0, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1493", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 8, -9, 6],\n [-8, 5, 5, 7],\n [0, 2, -6, -1],\n [3, 3, 8, -1],\n [5, -1, 10, -4]]\nB =\n[[-8, -6, 9, -5, 2],\n [-9, 8, 1, -6, 6],\n [-8, 7, -9, 5, 5],\n [10, 7, -6, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -9, 6, 6, 10],\n [-2, 10, 1, -6, 6],\n [9, -8, -5, -5, 0],\n [-1, 1, -4, -1, 10]]\nB =\n[[-5, -6, -8, 4, 8],\n [-1, 6, -4, -1, 3],\n [6, 4, 4, 7, -5],\n [-2, 5, -5, -4, 10],\n [2, 10, -1, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -9, 3, 5, -6],\n [9, -8, -2, 1, -4],\n [2, -4, -6, 3, -5],\n [-2, 9, 5, 0, -5],\n [3, -2, 4, 10, 1]]\nB =\n[[9, -4, -8, 6, 10, 4],\n [6, 4, 7, -4, 5, -8],\n [7, 6, -1, 6, 6, 5],\n [-6, -9, -10, -1, -9, 6],\n [-2, 1, 4, 10, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-743", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -2, 8, -10, -5, -2],\n [3, -1, 4, 6, 7, 10],\n [7, 6, -7, -3, -3, 0],\n [-8, -9, -7, -5, -10, -4],\n [7, -1, 0, 5, -1, 1],\n [2, -6, -3, 0, 4, 8]]\nB =\n[[-1, -5, 8, 1, -8],\n [3, 3, 8, -10, 2],\n [-1, 10, 1, 6, -9],\n [2, 8, 4, 9, 0],\n [-6, -5, -5, 10, -9],\n [-6, -10, -2, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -9, 2, 6],\n [-4, 5, 0, 6],\n [-3, 8, -1, 4],\n [-4, -9, 1, 2],\n [9, 4, 9, -10]]\nB =\n[[10, 3, 3, -7],\n [8, 1, -1, -10],\n [10, 8, -5, -5],\n [0, -7, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 6, 0, 4, 4],\n [2, 5, -10, 10, 5],\n [1, -10, 6, -1, -5],\n [-7, 10, 1, -2, 3],\n [7, 3, 2, 8, 2],\n [8, 5, -2, 0, -1]]\nB =\n[[-7, -9, 0, 2, 10, 4],\n [-7, -3, -7, 0, -4, -8],\n [-8, -7, 1, 1, 9, 4],\n [-6, 5, 6, -2, 10, -2],\n [1, 9, 10, -3, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 7, -7, -3],\n [-6, 8, 5, -10],\n [-6, -1, -9, 0],\n [-8, 0, -6, -9],\n [-6, -8, 10, -2],\n [-2, 4, 3, -3]]\nB =\n[[-4, 5, 6, 9, -9],\n [-2, -9, 2, 1, 1],\n [-9, -6, -3, -4, -9],\n [-7, 6, -1, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 9, 7, 7, 5, -8],\n [1, -8, -7, -4, 9, 0],\n [-4, -6, -1, 10, -3, -6],\n [-2, -5, -9, 10, -4, -5],\n [7, -4, -2, -7, 9, -7]]\nB =\n[[3, 3, 2, 9, -6],\n [0, 7, 8, -6, -8],\n [-7, 2, -2, -7, -10],\n [-5, -9, 1, -7, -4],\n [8, 0, 9, -3, -8],\n [2, 5, -4, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2227", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, -5, -7],\n [8, 5, 6, -6],\n [-9, 6, 10, -9],\n [-7, 10, -9, -8],\n [5, -4, 10, -9]]\nB =\n[[-5, 5, -4, -7, -7],\n [-4, -9, -2, -7, -8],\n [8, -6, 6, -10, 3],\n [-3, 6, 9, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1862", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 10, -10, 2],\n [10, -1, 3, -9],\n [4, -8, 2, -9],\n [-10, -1, -9, -8]]\nB =\n[[10, 0, 5, 5, -5, 6],\n [3, -10, -6, 8, -7, -2],\n [-3, -8, 2, -6, -8, -9],\n [-1, -9, -7, 5, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "778", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -3, 10, -7, 5, 0],\n [10, -7, 7, -10, -10, 0],\n [7, 6, -1, 9, -10, 2],\n [1, -5, 6, 0, 9, -7],\n [2, 0, -4, -2, 4, -3],\n [9, -5, -6, 10, 6, 0]]\nB =\n[[-7, 0, 1, 2, -10, 0],\n [-8, -10, 7, 6, -8, 10],\n [0, 8, 1, 7, 6, -1],\n [5, -3, -5, 10, -1, -4],\n [6, 3, -6, 1, -6, -6],\n [1, 1, -10, 5, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2598", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-7, -3, 7, -1, 1, 8],\n [4, 2, 0, 9, 3, 3],\n [10, 8, 3, -7, 4, 0],\n [-3, 3, -5, 10, 4, 10],\n [2, -1, 0, 10, -10, 6],\n [6, 8, 3, 2, 1, 4]]\nB =\n[[10, -5, 1, -5, -5, 3],\n [0, -4, -4, 7, 0, 10],\n [-10, 0, -3, 6, 0, 3],\n [5, -2, 6, -5, 6, -9],\n [8, 7, -9, -5, 7, -3],\n [-5, -6, 8, -4, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, -9, 8, -1, 5],\n [-3, 0, -7, -2, -1],\n [5, -3, -10, 3, -3],\n [-1, 3, 5, -1, -10],\n [-10, 7, 8, 1, 4]]\nB =\n[[-2, 10, 6, 10, 8],\n [-8, 3, -7, -1, -8],\n [5, 4, 1, 5, 1],\n [-4, -9, -5, 9, 2],\n [3, 7, 10, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -6, 5, 6, -3],\n [9, -7, 10, 7, -8, 8],\n [1, -4, 4, -7, -8, 2],\n [5, 2, 8, 4, -5, -6],\n [8, 6, -3, 9, -8, 0]]\nB =\n[[-2, 6, 9, 8, -8],\n [8, -10, 2, 0, -1],\n [-10, 9, -6, 3, -8],\n [0, 9, 8, 5, 1],\n [7, 9, -10, -3, -7],\n [4, -3, 0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 5, -1, -1, -2, -8],\n [9, -5, 2, -5, -6, 3],\n [7, -9, 9, 9, 7, 8],\n [-5, 8, -3, 2, 1, 9]]\nB =\n[[0, 9, -8, 0],\n [-10, 7, 4, 3],\n [-7, -8, 3, -7],\n [-4, 0, 8, 10],\n [-4, -8, -10, -8],\n [8, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-9, 7, 3, -6, 4],\n [9, -7, 3, -1, 3],\n [7, -7, 7, 9, 6],\n [-4, -9, 0, -8, -2]]\nB =\n[[-2, 9, -3, 1, 1, 3],\n [-8, -4, -10, -1, -9, 3],\n [7, -8, 4, -10, 3, -1],\n [4, -3, 5, -2, -5, -8],\n [7, -5, 10, -4, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 1, -9, 8],\n [-8, -2, -2, 2],\n [6, 5, 3, 1],\n [5, -4, -9, -2],\n [-1, -3, 10, -7],\n [-4, -1, -1, -8]]\nB =\n[[-3, -3, 6, 6, 8, -1],\n [-9, 9, 7, 9, 3, 9],\n [9, -10, 7, 2, 2, 3],\n [8, -6, -1, 3, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 0, -4, -8, 2],\n [0, -1, 0, 2, 6],\n [-3, 2, -1, 10, 2],\n [-2, -8, 2, -5, 10]]\nB =\n[[-5, -8, -2, 4, 8],\n [1, -4, 1, -6, 5],\n [0, 10, -7, -10, -2],\n [3, 5, -9, 4, 6],\n [-3, 10, 5, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1204", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -5, -10, 0, 0],\n [-3, -3, -6, 4, -8, 5],\n [4, 4, -1, -8, 3, 6],\n [1, 1, -7, -1, -4, -9],\n [4, -7, 6, 0, 1, -4],\n [-10, -6, -7, -9, -4, 0]]\nB =\n[[4, -1, -2, -1, 2],\n [5, 9, 2, 0, 7],\n [-10, -10, 3, 5, -4],\n [-7, -4, -9, -6, 4],\n [9, 2, 1, -2, -7],\n [3, 9, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -1, 1, -2, -3],\n [7, -3, -6, 2, 9],\n [-8, 5, 7, 2, -3],\n [-6, 1, 0, -1, -10]]\nB =\n[[-9, -6, 7, -7],\n [0, 4, 1, 4],\n [-3, 3, -6, 1],\n [-8, 10, 10, -2],\n [3, -3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1025", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -3, 5, 1, 2],\n [2, -5, 1, 1, -7],\n [-9, -9, -1, 9, -4],\n [7, 1, -9, -2, 9]]\nB =\n[[-5, 2, -3, -5],\n [7, 3, -7, 4],\n [-3, 2, 6, 2],\n [4, 9, -4, 0],\n [7, -3, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -4, -4, -10],\n [-4, 3, -9, -5],\n [7, 6, -8, -4],\n [-1, -1, 10, -8]]\nB =\n[[2, 4, -10, -10, -4],\n [1, 6, -8, -10, -9],\n [-2, -8, -6, -4, 1],\n [0, -8, -10, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 7, -6, 10],\n [4, 5, 9, -5],\n [-4, 2, -5, 7],\n [-2, -9, -7, -4]]\nB =\n[[1, -7, -6, -3, -5],\n [0, -6, -7, 6, -9],\n [7, -4, 2, -7, -2],\n [-4, 4, -9, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1492", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -2, -6, -6, 7, 5],\n [2, -10, 0, -7, -10, -9],\n [8, 9, 0, 7, 8, 1],\n [-4, 8, -6, 1, 8, 8],\n [9, -4, -5, 7, -6, 2],\n [7, -10, 5, -8, 8, -10]]\nB =\n[[-8, 5, -10, -8, 10],\n [1, 8, -2, -6, -2],\n [8, -4, -4, 0, 6],\n [-3, -9, 10, 7, 5],\n [6, 6, 5, 4, -3],\n [3, -2, -2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, -6, 8, 9],\n [-3, 1, -10, -9, 0],\n [5, -9, 4, 5, 2],\n [2, 4, -8, -5, -7],\n [1, 9, 10, -3, 0],\n [0, -2, -1, -5, 9]]\nB =\n[[1, -7, -7, -7, 1],\n [1, -7, 2, -7, -5],\n [9, -9, -7, -10, 7],\n [3, -4, 1, 1, -4],\n [10, 3, -5, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 5, 3, -2],\n [1, -10, 10, -2],\n [0, -10, -10, 2],\n [-6, 0, 6, 5],\n [1, -4, 2, 0]]\nB =\n[[-7, -6, 10, 0],\n [-3, 9, 1, 1],\n [-3, 10, 4, 8],\n [-7, -3, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 1, 10, -7, -5],\n [-4, 9, 9, -8, 5, 10],\n [-7, -7, 4, -9, -8, -5],\n [10, -10, 2, -6, -2, -4]]\nB =\n[[-6, -9, 1, -2],\n [-8, -2, 1, 4],\n [7, -3, 6, 7],\n [-3, -7, 4, 3],\n [0, 6, 8, -3],\n [4, -8, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -6, 6, 7, -3, -1],\n [-8, 0, 8, -9, 5, 6],\n [10, 9, 1, -6, -7, -6],\n [-5, 3, 7, -3, -3, 2],\n [-8, 5, 0, 4, -4, -1],\n [9, 3, -3, -5, 4, 0]]\nB =\n[[-2, 7, 5, 6, -6],\n [-10, -1, -8, -7, -1],\n [-9, -7, 0, -5, 8],\n [-3, 0, 5, 5, 5],\n [-6, 3, -10, -6, -7],\n [-9, -7, -7, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-481", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 1, -5, 7, -10, 8],\n [-5, 9, 7, 5, -2, 5],\n [8, 10, 7, 5, 10, -8],\n [-3, 4, 1, -9, 7, 8],\n [5, -9, -7, -9, 10, -10],\n [-3, 10, -8, 1, 4, -9]]\nB =\n[[-9, 3, -8, 6],\n [-1, 1, -1, -9],\n [-3, 5, -2, 4],\n [-8, 10, -7, 1],\n [-5, 2, 4, 0],\n [-6, 10, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 3, 2, 1, -8, 0],\n [5, 0, 10, 6, -5, 5],\n [3, -2, 8, 0, -9, 4],\n [-6, 5, 9, 6, 3, -1]]\nB =\n[[-9, 8, 6, 8],\n [-10, -3, -3, 9],\n [-8, 8, -9, 9],\n [-2, 8, 1, 10],\n [5, -8, 10, -1],\n [-4, 4, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, 7, 5, 9],\n [-4, 0, -3, 2, -1],\n [-6, 4, 10, -7, -7],\n [-5, -6, 2, -6, 3],\n [8, -7, -9, -7, -1],\n [-8, -9, 1, 6, 2]]\nB =\n[[-2, 5, 7, 7, 1],\n [6, 4, 10, -6, -5],\n [1, 2, 1, -3, -2],\n [-2, 8, 0, 10, 4],\n [5, -6, 1, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-682", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 10, -9],\n [5, 5, 5, 1],\n [6, 8, 6, 4],\n [-5, -10, 6, -10]]\nB =\n[[7, 2, -3, -7],\n [2, 8, 5, -1],\n [4, -4, 7, -9],\n [-4, 0, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 8, 9, -3, 4, 4],\n [9, 7, 5, -1, -1, -8],\n [5, -8, -10, -10, -7, -10],\n [-9, 4, -6, 0, 7, 3]]\nB =\n[[2, -9, 2, 1, 5],\n [-2, -8, -4, 8, -3],\n [9, -6, 2, 5, 3],\n [-8, 4, 6, -5, 6],\n [3, -1, -8, 7, 5],\n [5, -10, -9, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1586", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-3, -8, -7, -1, -7, 5],\n [1, 1, -9, -8, 6, 9],\n [-10, 4, 7, 4, -2, -3],\n [0, -10, -3, 6, -4, 4],\n [-7, -3, 0, 2, -7, 7]]\nB =\n[[1, 4, 3, -1],\n [8, -2, 7, 2],\n [-6, -5, 5, -1],\n [-6, -9, 0, -5],\n [4, 0, -2, 4],\n [1, -10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -5, 2, -4],\n [6, -8, -1, 0],\n [7, -8, -10, -7],\n [7, 5, -3, 8]]\nB =\n[[-8, -2, -7, 5, -6],\n [0, -9, -10, -10, 6],\n [2, 6, -8, -6, -6],\n [8, -7, -1, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, -1, -6],\n [-6, 3, 6, -9],\n [-1, 7, 4, 6],\n [6, -8, 7, -3],\n [-6, -4, -10, -10],\n [3, 3, 7, -8]]\nB =\n[[-4, 5, 3, -4, 9],\n [1, 9, 5, 5, -9],\n [3, 0, 5, 1, -5],\n [-1, 6, -5, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-7, 6, -8, -9, 6],\n [-1, 1, 9, 0, 8],\n [8, 7, -7, -4, -1],\n [8, -5, -2, -3, -4],\n [0, 1, -10, 4, 7]]\nB =\n[[10, 9, -3, 9, -3],\n [10, 0, 1, -10, -10],\n [-9, 8, 5, -4, -5],\n [1, 9, -8, -9, 2],\n [9, -9, 1, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -6, -8, -7],\n [10, -1, 6, -3, 1],\n [6, 2, 3, 8, 0],\n [-6, -7, 6, -3, 9],\n [10, 2, -3, 5, 0]]\nB =\n[[9, -9, -6, 5],\n [3, 4, -7, 2],\n [7, -7, -4, -10],\n [-7, 9, -4, -1],\n [5, 1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -4, -6, 1],\n [-6, -2, 0, 2, -3],\n [-6, -1, 4, 8, 8],\n [-5, 10, -4, 8, 7],\n [2, 7, -3, 8, -8]]\nB =\n[[-4, 10, 5, 7, 3, -8],\n [0, 1, -7, -9, -6, 9],\n [-5, 8, 1, -8, -1, -4],\n [-8, -7, -8, -4, 5, 10],\n [-3, 0, 4, -8, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 6, 0, -1, 8, 9],\n [6, -2, 10, -7, 4, -4],\n [-8, 9, -1, 7, 5, 9],\n [3, -1, 6, 6, 0, 6]]\nB =\n[[6, 0, 8, 10],\n [-10, -2, 4, 2],\n [-9, -1, 6, -10],\n [-3, -2, -7, 5],\n [6, 9, 9, 5],\n [6, 6, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "846", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 1, 9, -4],\n [5, -9, -2, -5],\n [-4, 3, -2, -8],\n [-8, -2, -6, -5],\n [-8, 9, -8, -4]]\nB =\n[[-9, 7, 2, -9, -3],\n [-4, -5, -1, -1, 6],\n [-3, 1, -5, -8, -6],\n [-3, -3, 4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1489", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 6, 3, -2],\n [-1, -2, 2, -6],\n [7, -6, -4, -2],\n [2, -8, -4, -8],\n [2, 6, -3, -5],\n [10, -5, 3, 4]]\nB =\n[[-9, -3, 1, 6, -7],\n [5, 8, -3, -3, 0],\n [-4, -1, -3, -2, 6],\n [-10, -5, 2, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -9, 1, 6],\n [6, 0, 1, 2],\n [1, 10, -6, -8],\n [10, -8, 6, 0],\n [4, -1, -6, 7]]\nB =\n[[1, -9, -9, -9, 3],\n [7, 1, 5, -1, -3],\n [5, -1, -8, 3, 8],\n [2, 8, -3, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -1, -8, 1, -6],\n [-9, 7, -10, -6, 6],\n [3, -8, 8, -7, -2],\n [-9, 10, -1, -4, -9],\n [-1, 6, 10, 10, -8],\n [0, -3, 2, -7, 1]]\nB =\n[[-3, 2, -4, 2, 1],\n [-1, 0, 9, 1, -9],\n [-9, -4, 1, -5, 7],\n [-5, -2, -5, -5, -5],\n [-1, 2, -9, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1982", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 4, -3, -4],\n [1, -1, 4, 1],\n [1, -3, -6, -5],\n [-1, 1, -10, 0],\n [-3, -4, 8, 7]]\nB =\n[[-10, 4, 5, -8],\n [7, -9, 10, -8],\n [9, 3, -10, -5],\n [-7, -9, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-4, 7, 8, -10, -9, 5],\n [-6, -5, -3, 5, 9, -7],\n [0, 9, -7, 10, 7, 8],\n [8, -8, -2, 9, -6, -2]]\nB =\n[[9, 4, 0, -10, 2],\n [-8, -5, -2, 7, 4],\n [-8, 2, -7, -5, -10],\n [-9, 4, 0, -7, 1],\n [4, -3, 8, -5, -8],\n [5, -3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 3, 5, -8, 2],\n [-2, 5, 6, 4, 5],\n [7, 2, 1, 9, -7],\n [-2, -10, 1, -1, 7],\n [9, 3, 8, -7, -9],\n [2, -3, -3, -2, 6]]\nB =\n[[6, -2, -3, -10, 2],\n [3, -8, -5, 10, -5],\n [8, -1, 5, 4, 4],\n [-5, 2, -6, -10, 0],\n [-3, -3, -6, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 10, -6, -8, 1],\n [-10, 2, 9, -8, -3],\n [-1, -6, 6, -3, -4],\n [-2, -5, -10, -4, 10]]\nB =\n[[5, 6, 3, 8],\n [10, 9, 2, -4],\n [9, -9, -5, -9],\n [0, 10, -3, -7],\n [0, -10, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 10, 0, 8, -2],\n [8, -4, 10, 5, -2],\n [2, 7, 9, -9, -6],\n [-4, 6, 3, -8, 8],\n [8, 6, 3, -2, -6]]\nB =\n[[-3, -2, -3, 3, -9, 7],\n [4, -5, 1, 7, -7, 3],\n [8, -8, -6, 6, -9, -1],\n [-9, -6, 8, 6, -1, 2],\n [1, -3, -5, -6, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 2, -6, -6, -5, -9],\n [-3, 2, 7, -3, 7, 4],\n [2, -1, -1, -5, 6, 5],\n [-5, 4, -5, 9, -2, 10],\n [-3, -2, -5, 0, -9, 5],\n [1, 0, -9, 5, 1, 6]]\nB =\n[[0, 0, -9, -5],\n [7, 2, -2, 5],\n [-7, 3, 10, 4],\n [7, 6, 10, 5],\n [2, 5, -8, -2],\n [6, -6, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, 0, -3, -4],\n [9, 5, -4, -3, -8],\n [-9, 1, 0, -9, -6],\n [4, 8, -8, 3, 5],\n [6, 1, -3, -3, -6],\n [8, 6, -8, -5, 6]]\nB =\n[[1, 7, 10, 0],\n [-7, -3, 4, -10],\n [-2, -9, 8, -1],\n [7, 0, 8, 3],\n [-7, 8, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, 7, 1],\n [2, -2, -9, -3],\n [4, 3, -1, -6],\n [-3, -2, -3, 6]]\nB =\n[[8, -10, 2, 6],\n [-7, -6, 1, 3],\n [5, -2, -7, -1],\n [7, -5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -4, 1, -5, -4],\n [-6, 5, 0, 10, -3],\n [-2, 3, 5, -9, 6],\n [-3, -10, -7, -3, -6],\n [-3, 10, 5, -6, 2]]\nB =\n[[-8, -6, -2, -10, -1],\n [-8, -3, -8, 9, -8],\n [4, 0, -10, 0, 9],\n [1, -1, -3, 7, -8],\n [4, 0, -10, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -1, -3, 10, 5],\n [4, -2, 0, 2, -9],\n [2, -5, 9, 2, -1],\n [0, 10, 5, -6, -3]]\nB =\n[[-6, 0, 3, 6, 3, 1],\n [4, -1, -7, 5, -3, 2],\n [-9, -9, 7, -3, -3, -5],\n [-3, 3, -7, -8, -2, 2],\n [1, 5, 10, -6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-5, 5, -7, -5],\n [-2, 0, 0, 6],\n [7, -2, 9, -1],\n [1, -1, 2, -2]]\nB =\n[[3, -5, -7, -7],\n [-6, -9, -6, 8],\n [-10, 6, -4, 4],\n [9, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 6, 8, 2, -7],\n [4, 2, 5, 5, -9],\n [-3, 10, 6, -2, 5],\n [-5, 2, 1, 7, -1],\n [3, -2, 10, -8, -10]]\nB =\n[[-2, -7, 6, -8],\n [8, -4, 9, -2],\n [7, 8, -10, -7],\n [-8, 7, -1, -5],\n [-1, 5, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, 9, 8, 5, 10],\n [3, -1, 6, -10, 7, 3],\n [2, 5, -8, 6, -9, 6],\n [-10, -4, -10, -6, 3, -10],\n [9, -5, 9, 0, -1, 7]]\nB =\n[[6, -6, -2, -3],\n [9, -5, 1, -5],\n [3, 4, -6, 7],\n [3, 5, 0, -6],\n [3, 10, -2, -4],\n [-7, 10, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1425", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, -4, -3],\n [8, 7, 1, 6],\n [-3, -10, -7, -9],\n [-9, 1, -3, 2]]\nB =\n[[-8, -1, 8, -8],\n [3, -2, -6, -9],\n [10, -10, 4, -4],\n [9, 0, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 9, 6, 3, -8],\n [0, 7, 7, -7, 7],\n [0, -4, 7, 5, -3],\n [5, 3, 7, 8, 6]]\nB =\n[[6, -9, -4, -9],\n [9, -5, 3, 1],\n [9, -5, -1, 9],\n [9, 2, -7, -7],\n [-9, -9, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 4, 3, -9, -3],\n [-4, 7, 9, 6, -3],\n [6, 5, 5, 1, -7],\n [-9, -10, -6, 1, 6]]\nB =\n[[9, -3, -10, -1, -9],\n [-4, -9, -5, 0, -2],\n [4, -3, 2, -3, -3],\n [8, 5, 7, 7, 10],\n [-5, -5, 9, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 3, -10, -7, 9, -3],\n [-3, -8, 0, -9, -8, -8],\n [9, 3, 0, -3, 7, 4],\n [-1, -6, 7, 0, 4, 6],\n [-7, 1, 3, -4, -9, 8]]\nB =\n[[-8, 4, -4, 6, -6],\n [-6, -6, 0, 6, 10],\n [8, 0, 7, -7, -8],\n [-3, -8, 7, 4, 2],\n [5, 5, -9, -4, 6],\n [-9, -5, 1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 8, -3, -1],\n [-9, 2, 2, -5],\n [-9, -7, -8, -4],\n [9, -9, -9, 9]]\nB =\n[[3, -9, -6, 9],\n [7, -7, -10, 2],\n [-5, -4, 10, -8],\n [3, -6, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, 7, 4],\n [3, -4, -2, 9],\n [-8, 3, -3, 7],\n [-7, 7, -4, -6],\n [1, -5, 6, -8]]\nB =\n[[-8, 3, 8, 7],\n [10, -8, 8, -7],\n [10, -10, -1, 3],\n [4, -9, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1449", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 2, 8, 1, -9, 6],\n [-6, -7, -10, -2, -1, -9],\n [1, 6, -5, -8, 6, 1],\n [9, 4, -9, -8, 3, 5],\n [1, 8, 10, 5, -10, -3],\n [4, 2, 7, 4, -2, 0]]\nB =\n[[-10, 4, 10, 0, 0],\n [-2, 4, 0, 3, -1],\n [9, -9, -7, -1, 0],\n [-6, 5, -3, -8, -8],\n [-7, -7, -9, 1, 2],\n [-4, 0, 7, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[10, 8, 9, -1, 6],\n [7, -4, 6, 7, 10],\n [9, -10, 9, 5, -7],\n [9, 1, -6, 3, 10],\n [-9, -4, 6, 0, 4],\n [3, 2, -5, 10, -1]]\nB =\n[[-2, -2, 6, 7, -8, -8],\n [-6, 5, 2, -6, -3, -8],\n [5, 6, -8, 6, -8, 3],\n [3, -5, -2, -5, -4, 3],\n [10, -8, -9, -9, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -6, 1, -1, -5, -2],\n [-3, 5, -6, -1, 3, -1],\n [-6, -1, 3, -5, 5, 9],\n [7, -4, 6, -2, 8, 4],\n [0, -1, -2, 6, -4, -8],\n [-9, 10, 3, 7, -2, 6]]\nB =\n[[8, -3, 8, -10, 10],\n [4, 7, -2, -1, -2],\n [3, 3, -4, 5, 9],\n [3, -1, 0, -7, -6],\n [-3, -4, -7, -4, -6],\n [-9, 9, 3, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1715", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 3, -9, 3, 5, -10],\n [-5, -8, -5, 2, -2, 8],\n [10, -6, -9, -9, 0, -2],\n [4, 10, -8, -6, 0, -8],\n [-10, -10, -6, -6, -10, 6]]\nB =\n[[-9, 5, 0, -1],\n [-7, -2, -1, -3],\n [2, 5, -5, -9],\n [8, -1, -5, 8],\n [2, 2, -10, -3],\n [-3, 8, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 6, 7, -4],\n [-3, 7, -2, -7],\n [-4, 6, -3, 5],\n [-4, 7, 0, -3],\n [-4, -4, 8, -7],\n [-5, -1, -1, -4]]\nB =\n[[3, 0, -7, -9],\n [10, 2, 10, 9],\n [-6, -5, -9, -9],\n [-1, -6, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[5, 8, 2, -7, 7],\n [-2, -5, 0, 7, -1],\n [-8, -4, -5, -9, 10],\n [10, 1, 2, 0, 0],\n [-1, -1, -2, -4, 1],\n [6, -1, 4, 6, -8]]\nB =\n[[-9, -9, -4, 6],\n [8, 4, 3, -3],\n [6, -1, -9, -9],\n [8, 3, 7, 0],\n [-2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, 9, -5, -1],\n [-7, -8, 0, -9, -1],\n [0, 3, -9, -10, 1],\n [1, 7, 0, 3, -9],\n [-10, 3, -6, -5, 8],\n [-5, 9, 8, -8, -10]]\nB =\n[[10, -10, 3, -6, -4],\n [8, 0, 3, 7, -5],\n [2, 5, -6, -2, 5],\n [-2, 9, 6, -9, -1],\n [4, 4, 1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 10, -8, 6, 6, -1],\n [4, -6, 3, -9, 3, 5],\n [3, 8, 9, 0, -7, 2],\n [-5, 4, 8, 9, 8, 9],\n [8, 1, -10, -7, 5, -9],\n [5, -2, 0, 7, 6, -1]]\nB =\n[[-3, 2, -10, -3, 0, -4],\n [-6, 0, -4, -1, 5, 5],\n [-2, 10, 7, -4, -2, -3],\n [6, 9, -6, -1, 6, -2],\n [2, -6, 9, -1, 9, -6],\n [4, 5, -1, -2, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -6, -6, 2, -1, -6],\n [9, 4, -5, -5, 7, 6],\n [10, 2, -5, 6, 0, 5],\n [-7, 2, 4, 2, -6, 6],\n [-2, -8, 2, 4, -4, -8],\n [-4, 2, 9, -6, -2, -2]]\nB =\n[[0, -5, 2, 1, 8, -2],\n [5, -6, -10, -2, -6, 0],\n [0, 2, -5, -9, 8, 3],\n [2, 8, -8, -10, -2, -5],\n [-5, -5, -7, -2, 7, 5],\n [7, 4, -4, -3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, -7, -1],\n [-7, -1, 0, -7],\n [0, -9, -9, 7],\n [-8, 10, -4, 7],\n [3, -7, -4, 4]]\nB =\n[[-2, -10, 9, -2, -10, 3],\n [-2, 7, 9, -4, 4, 10],\n [-2, -8, 4, -6, 2, 3],\n [-7, -10, 0, 9, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1798", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -1, -4, -3, 2],\n [-4, -10, 10, 0, 2],\n [-5, -4, -10, -10, 0],\n [-4, 8, -10, 6, -5]]\nB =\n[[-8, 7, -8, -3, 2, -10],\n [-1, 10, 10, -6, 3, -9],\n [2, 8, -10, 8, 7, 0],\n [-10, -7, 8, -6, 2, 5],\n [-10, -2, 9, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 5, 2, 5],\n [2, 6, 2, -7],\n [5, 9, 7, 1],\n [8, -1, -1, -10],\n [-9, 2, 4, -8],\n [9, -6, -4, 6]]\nB =\n[[-5, 0, 3, 10, 8, -8],\n [1, 1, 1, 0, -8, 0],\n [-2, 6, -9, -3, 9, -10],\n [1, -1, -1, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1529", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 2, 9, -3],\n [-1, -6, 7, 4],\n [9, -3, 1, 0],\n [1, -1, -7, 2],\n [-5, 9, 4, 1],\n [8, -9, 4, -10]]\nB =\n[[-9, 3, 10, 4],\n [-4, -7, -3, -3],\n [-1, -5, 6, 1],\n [-8, -5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 4, 6, 4, -2, 6],\n [-3, 6, 5, -10, 2, 1],\n [8, 1, 5, -7, -5, 4],\n [-1, 2, 10, -9, 9, 7]]\nB =\n[[-1, 2, 7, 10, 4],\n [4, 3, 5, -7, 6],\n [7, 8, -6, -3, 9],\n [-2, 1, 3, 4, 6],\n [-4, 9, 7, 10, -3],\n [5, -5, -5, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 2, 9, -10],\n [5, -10, -2, 7],\n [-2, 10, 2, 9],\n [5, 0, 6, -3],\n [8, -1, 9, -1],\n [2, 0, 2, -7]]\nB =\n[[6, -10, 10, 0, 7, -2],\n [5, -1, -8, -3, 6, -8],\n [8, 9, 7, 5, -6, 4],\n [-5, 0, -3, 7, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1945", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -2, 8, 6, 7],\n [-1, -3, 5, -10, -5],\n [1, -8, -4, 3, 7],\n [-9, -10, -9, -2, 7],\n [-10, 7, -10, -4, 5],\n [-2, 1, -7, 4, -5]]\nB =\n[[-7, 9, 4, -1, -2, 8],\n [0, -10, 10, 1, 0, -4],\n [-3, 3, -5, 0, -6, 4],\n [-9, 10, 8, 8, 3, 7],\n [-9, 5, -10, -6, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-743", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -3, 6, 3],\n [-6, 4, -7, -10],\n [7, 6, 3, 2],\n [-4, -3, 3, 1]]\nB =\n[[4, -1, 5, 2, 4, 4],\n [-7, -4, 1, 9, 6, -1],\n [-6, 9, -7, -7, -2, 3],\n [4, -3, 7, -7, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[6, 2, -3, 0, -8],\n [-3, 6, 7, 10, 5],\n [8, -7, 6, 0, -4],\n [-10, 2, 10, 1, 3],\n [2, -3, -4, -4, 4],\n [-4, 0, 8, 2, -3]]\nB =\n[[9, -1, 2, 8, -8, 4],\n [-6, -6, 7, 3, -4, 0],\n [7, -1, 4, -1, 9, 9],\n [-5, -10, 3, 7, 5, -2],\n [-4, 1, -3, -7, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[10, -7, -3, 8, 5],\n [8, 6, -9, -1, -8],\n [-10, 6, -10, -3, -5],\n [10, -8, -4, 0, -7],\n [6, 5, -6, 0, -2],\n [-10, -5, -3, -6, 8]]\nB =\n[[-5, 8, 5, 5, 10, -8],\n [5, 4, -4, -4, 7, 9],\n [2, 0, -6, 4, -5, -4],\n [-5, -1, -5, -6, -2, 2],\n [3, -8, 4, 7, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, 4, 0, 8, -6],\n [3, -1, 3, -4, 2, -7],\n [4, 8, -2, 2, -9, 3],\n [6, -9, 4, -4, 8, 9]]\nB =\n[[-9, -9, 6, 6, 9],\n [2, -10, -8, -4, -8],\n [9, 7, -7, -7, -3],\n [-9, -2, -2, -2, -1],\n [8, -6, 4, -9, 0],\n [-7, 6, -5, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[0, 4, 8, 1, -8],\n [-4, -8, 8, 0, -8],\n [-3, 4, -6, 7, -5],\n [8, 7, -2, 8, -4]]\nB =\n[[-2, 6, -8, 4, -10],\n [3, 4, 8, 6, 7],\n [-2, 9, -10, -2, -10],\n [3, 8, -9, -3, 5],\n [-6, -1, 6, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-3, -5, -6, -1, 0, -6],\n [2, -6, -4, -7, 0, 0],\n [-2, -8, 9, -3, -1, 10],\n [5, 7, -1, -9, -3, 6],\n [8, 10, 3, -8, 0, 9],\n [4, 1, -3, -3, 8, 8]]\nB =\n[[-8, -4, -6, -10, 1],\n [-2, 8, 1, 10, -9],\n [3, 0, -2, -9, 5],\n [-9, -7, 2, 6, 0],\n [4, 1, -2, 5, 2],\n [-5, -8, -1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -8, -4, -5, -9, 9],\n [6, -10, 10, -2, -3, 8],\n [8, -2, -9, -5, 10, -1],\n [-7, -2, 9, -9, 8, -3],\n [-6, -3, -2, -8, 0, -9],\n [10, 4, 6, -5, -10, 3]]\nB =\n[[7, -5, -8, 3],\n [3, -5, -10, -5],\n [-6, 3, -4, -8],\n [-1, 10, -10, -10],\n [-10, 7, -9, 0],\n [8, 8, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "719", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 1, 7, 7, 4, 9],\n [9, -5, -10, 7, -6, 10],\n [7, 8, 10, 2, 4, 0],\n [7, -5, -5, -4, 9, -5]]\nB =\n[[7, 10, 1, -7, -9, 4],\n [-3, -3, -7, -8, 8, -3],\n [2, -5, -8, 1, -8, -1],\n [-4, 6, 6, -5, 7, -4],\n [-9, 10, 7, -3, 2, -3],\n [-10, 10, 3, 0, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[4, -9, 4, 8, -8, 6],\n [4, 6, 3, -10, -2, 6],\n [3, 2, -6, 2, -8, 3],\n [9, 7, 10, 10, 8, 9],\n [8, 0, 0, -5, 6, 6],\n [3, -3, -8, -10, 6, 4]]\nB =\n[[-9, 2, 1, -9, -2, 1],\n [0, -1, -6, 7, 0, 10],\n [-2, -7, 3, -3, 5, 4],\n [3, -6, 8, 8, -10, 6],\n [9, 4, 0, -9, -10, 7],\n [8, -4, 10, 1, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[10, 1, -3, -3],\n [-10, 10, 6, -5],\n [-7, 4, -6, -9],\n [9, -6, 0, 8],\n [2, -3, -1, -2]]\nB =\n[[9, 10, -1, 4],\n [-6, 1, -7, -5],\n [3, -6, 2, 9],\n [7, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[9, -9, 5, 8],\n [-1, -2, 2, 3],\n [-4, 5, -2, -9],\n [-1, 9, 4, 0],\n [-8, -2, 7, -3]]\nB =\n[[7, 10, 1, -3, 10, -8],\n [9, -5, 10, 0, -1, 10],\n [-10, 8, 8, -1, -5, 2],\n [7, 1, 0, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, -6, 4],\n [-8, -5, -4, 2],\n [-5, 3, -2, -7],\n [7, -1, -6, -9],\n [-6, -6, 8, 1]]\nB =\n[[-9, -1, 1, 4, -6, 7],\n [6, -3, 7, -1, 3, -7],\n [-1, -6, -2, -10, -1, 6],\n [6, -10, -6, 9, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -6, -1, 4],\n [-5, 7, 0, 4],\n [10, 1, 2, 5],\n [10, -1, -10, -1]]\nB =\n[[1, 3, -7, 1, -7, -10],\n [-1, -6, -10, 2, -7, -10],\n [7, 9, 7, 5, -6, 4],\n [2, -5, 1, 4, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-436", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -5, 0, 6],\n [-3, -3, 4, 3],\n [-9, -6, 10, 4],\n [-3, 8, -1, 4],\n [-10, -3, 10, 7],\n [7, 7, -3, -3]]\nB =\n[[9, 7, -1, 3, 6, 7],\n [5, -10, -4, 9, -7, -2],\n [9, -7, 3, -9, -10, -3],\n [7, 1, 0, 10, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2373", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[6, -3, 7, 2],\n [-3, 5, 0, -7],\n [2, -9, -10, 6],\n [9, 3, 9, 3],\n [5, -4, -1, 7],\n [8, -9, -3, 9]]\nB =\n[[-7, -1, 5, -2],\n [3, -8, 5, -4],\n [10, -10, -2, -3],\n [-10, -9, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[8, -2, 9, -5, 3, 8],\n [-1, -3, 1, 7, -2, 6],\n [-6, 9, -3, -1, -2, 3],\n [10, 1, -3, -5, -5, 3],\n [-7, -6, -8, 5, 4, 5],\n [0, 9, -1, -1, -10, -1]]\nB =\n[[-2, -3, -6, 1, -3, -5],\n [5, -1, -5, -8, 7, 0],\n [7, -6, 9, 4, 1, 2],\n [-5, 4, 1, -1, 0, -10],\n [-7, 4, -8, 4, 8, -8],\n [6, -9, -5, -3, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 9, -9, 9, 5, -3],\n [6, -8, 8, 0, -4, 8],\n [-8, 9, -5, -5, -5, 3],\n [-7, 3, -3, -6, 10, 1],\n [9, 10, -9, 7, -6, 3],\n [2, -2, -8, -7, 0, 1]]\nB =\n[[9, 0, -4, -3, -1, -7],\n [-1, -6, 8, 6, -3, 7],\n [9, -3, -10, 7, -2, 3],\n [3, -1, -4, 7, 6, -3],\n [-1, 1, 10, 10, 9, -9],\n [-2, 10, 10, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2673", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[6, 10, -7, -8],\n [-3, -10, 8, 4],\n [-6, -3, 4, -5],\n [4, 5, 0, -7],\n [8, -5, -5, 0]]\nB =\n[[-6, 3, 9, -9],\n [-3, 4, 4, -6],\n [-8, -2, -6, -2],\n [1, -2, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, -10, -3, -4, -1],\n [-2, -9, -5, 0, -1],\n [-2, -4, 5, -4, -10],\n [0, 9, 0, -2, 2]]\nB =\n[[-7, -9, -2, -3],\n [-2, -3, 2, 1],\n [6, 1, -1, 1],\n [0, -8, 8, -3],\n [10, 9, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 9, 7, -8],\n [-10, -2, -8, 0],\n [-8, 10, 3, -10],\n [-2, 9, 4, 4]]\nB =\n[[-5, 6, -1, 1, 7, 6],\n [-8, -1, 2, -9, 8, -3],\n [0, 4, -7, -2, -7, -9],\n [0, 10, -2, -1, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-846", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -3, 2, 9],\n [8, 3, 6, -2],\n [-8, 0, -10, -4],\n [-8, -1, -9, 0],\n [-5, 2, -7, -8]]\nB =\n[[-4, -6, 10, -1, -2],\n [2, -1, 0, -9, 2],\n [-4, 6, 3, 9, -8],\n [3, 7, 4, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1512", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 5, -6, -8, 10],\n [1, 5, 2, 4, 10],\n [9, 6, 0, 7, -2],\n [-2, -3, -4, 5, 4],\n [0, -7, -10, -9, -9]]\nB =\n[[-5, 7, -2, -2, -2, 5],\n [10, 8, -3, -1, -4, 0],\n [-3, -1, -3, -5, 5, -9],\n [3, 9, -6, -10, -10, -10],\n [-9, -9, -9, 9, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 4, 10, -2, 10, -2],\n [-8, -10, -6, 0, 0, -7],\n [-9, 0, 6, -6, 8, 2],\n [-4, 10, -1, 1, 1, 1],\n [0, 0, 10, 1, -7, 0],\n [-1, -4, -5, 9, 10, 7]]\nB =\n[[10, 5, -7, -7, -3],\n [5, -10, 7, -6, -1],\n [9, -10, 5, -1, -7],\n [8, -10, 7, 8, -7],\n [0, -4, -3, -1, -8],\n [-7, 9, 5, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 3, 4, 5, 8],\n [2, -1, -8, -9, -4],\n [9, -5, -4, 9, 7],\n [-3, -2, -6, -1, 2],\n [1, 3, -10, -6, -6],\n [-4, -9, 5, -1, -3]]\nB =\n[[-6, 3, 10, 10],\n [-1, 7, 4, -2],\n [-6, -2, -1, -8],\n [9, 5, 4, -8],\n [1, -8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[6, -4, -5, -1, -8],\n [-1, 5, -4, -8, 6],\n [0, 10, -1, 1, 8],\n [1, -5, 6, 4, -2]]\nB =\n[[-5, 0, 3, 5],\n [-1, -4, -10, 9],\n [2, 4, -3, 9],\n [-8, -1, -7, 8],\n [-10, -5, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 0, 7, -7],\n [-3, -1, 10, -2],\n [4, 5, 3, 0],\n [-2, -4, 8, -8],\n [6, 7, 9, 10],\n [-7, 9, -6, -8]]\nB =\n[[-2, 8, 10, -9, -6],\n [9, -5, 4, 8, 3],\n [-2, 4, 5, -2, 6],\n [-6, 4, -4, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "881", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[0, -5, -4, 5, 2],\n [0, -9, -1, 5, -6],\n [-10, 1, -4, -9, -1],\n [-10, 4, 9, 2, 5],\n [-9, -2, -2, -1, 2],\n [10, 2, -10, 4, -9]]\nB =\n[[-7, 9, -8, 7, 5],\n [10, -2, 1, 5, 7],\n [1, -2, -7, -4, -6],\n [9, -3, 2, 0, -8],\n [4, 7, 7, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 5, -6, 2, -3, -6],\n [10, 4, 9, 1, 5, -6],\n [6, 2, -4, 8, -3, -6],\n [-9, -7, -5, 5, -9, -7],\n [10, -9, 8, 10, -10, -8],\n [6, -3, 0, 6, 9, -10]]\nB =\n[[-1, 8, 9, 5],\n [10, 10, 5, -1],\n [-6, -2, -8, -7],\n [-3, 7, -10, 10],\n [-3, 4, 10, -2],\n [9, 8, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 1, -5, 5],\n [-7, -6, -2, -4, 4],\n [-5, 0, -5, -7, 4],\n [1, 1, 2, 7, -10]]\nB =\n[[-8, 10, 2, -8, 3],\n [-9, -3, -8, -10, -5],\n [9, -5, 6, 8, -3],\n [4, 6, -1, 7, -4],\n [1, 1, 10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 3, 6, -4, 0],\n [-5, -8, -7, -3, 6],\n [3, 8, -5, 9, -6],\n [9, 9, -1, -9, -2]]\nB =\n[[-9, -10, -10, 10, -4],\n [8, 4, 9, 5, 9],\n [-4, 2, 1, 9, -5],\n [-10, -1, -3, 7, -8],\n [-2, -1, -7, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 8, -7, 7, 9, 0],\n [7, 3, -9, -2, -7, 1],\n [7, 9, 4, 8, 2, 1],\n [7, -8, 7, 4, 10, 8],\n [6, 2, -5, -10, 6, 8]]\nB =\n[[-3, 5, 8, 8, 1, -10],\n [8, 5, 2, -1, 7, 3],\n [2, -9, 10, 2, 8, 10],\n [-1, -5, -9, -9, -4, 5],\n [-4, -3, -8, -3, -9, 4],\n [-6, -9, 1, -9, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1986", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, -10, 9, -5, -2],\n [-8, -3, 8, 2, -8, -9],\n [-10, 10, 7, 8, -8, -6],\n [6, 6, 9, 3, 2, 9],\n [-5, 3, -3, -8, -1, -4]]\nB =\n[[7, 7, 10, 6, -4],\n [8, -4, -2, 5, 3],\n [3, 4, -4, -8, 2],\n [3, -7, -1, 6, 1],\n [1, -2, 3, 8, -6],\n [-1, 10, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-569", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -5, 7, -10, 5, -3],\n [-7, 4, -6, -7, 4, -1],\n [-5, -8, -5, 7, 1, -10],\n [6, 1, 5, -8, 9, 6],\n [2, 9, -10, 9, -3, -2],\n [9, -8, 9, 9, 1, 4]]\nB =\n[[7, 5, -8, -3, 10],\n [-2, 0, -2, 1, 6],\n [2, -7, 10, 5, 8],\n [1, -1, -5, -9, 1],\n [-6, 10, 5, 10, -7],\n [-1, -6, -8, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2468", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -9, -3, 4, -4],\n [5, 2, 7, 10, -6],\n [8, 5, 7, 10, -2],\n [-5, -4, 8, -5, 5],\n [9, 10, 1, 8, 3]]\nB =\n[[-4, 9, 4, 8],\n [-3, -9, 6, 7],\n [-7, -3, -6, 1],\n [6, 3, -6, 4],\n [2, 8, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1172", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -2, 8, -8, 9, 4],\n [7, -6, 10, -10, -3, -3],\n [2, -2, 5, -7, 8, -5],\n [7, -6, 0, 6, 6, 5],\n [1, 7, -9, 5, -5, 6],\n [-1, 8, 10, 9, -10, 7]]\nB =\n[[7, 10, -4, -9, -8, 0],\n [10, -9, -8, -7, 7, 2],\n [10, 3, 3, 9, -8, 1],\n [9, -2, -2, 8, -8, -5],\n [-2, -7, -4, -5, -1, -6],\n [5, -4, 2, 2, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2498", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[0, -2, 7, -6],\n [-3, -1, 6, -3],\n [0, 3, 7, -2],\n [-6, -6, 3, 3],\n [0, 5, -3, -3]]\nB =\n[[-4, 9, -9, -7, 10],\n [4, -3, -10, -2, 9],\n [8, -5, -10, 5, -2],\n [7, 3, -6, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -6, 0, 6, -8, -3],\n [0, 9, -8, -2, -1, -8],\n [-10, 8, 7, -7, 10, 0],\n [2, 1, -9, -10, 3, -9],\n [7, -8, 8, -9, 3, 7]]\nB =\n[[5, -4, -6, -8],\n [-5, -2, 1, -7],\n [-3, 10, 7, -6],\n [-2, 2, -10, 10],\n [9, 0, -4, -5],\n [-6, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1458", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[10, 10, 9, -1, 3],\n [9, -4, 2, -8, -5],\n [-10, -8, 0, -9, -3],\n [-8, -6, -4, -8, 6],\n [8, 4, -8, -4, -8],\n [-1, 2, 4, 0, 10]]\nB =\n[[8, -1, 9, 6, -10],\n [-9, -4, 1, 7, -2],\n [8, 1, 7, -3, 4],\n [2, 10, -3, 10, 8],\n [6, 8, 7, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, 10, 3],\n [3, -2, 5, -3],\n [6, -4, -2, 1],\n [2, 9, -4, -10]]\nB =\n[[2, -8, -8, 3, -9],\n [9, -1, 5, -9, 0],\n [4, -8, 4, 1, -1],\n [-6, 4, 5, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -4, 8],\n [8, -10, 5, 4],\n [1, 9, 9, -7],\n [-7, -5, 0, -1],\n [3, 5, 3, 7],\n [-1, 4, 3, -10]]\nB =\n[[4, -1, -9, 9, 1],\n [10, 5, -8, 7, 9],\n [-5, -2, 10, 5, 4],\n [7, -3, 7, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 2, 1, -6],\n [10, 2, 7, -4, -6],\n [-7, 0, -1, -4, -6],\n [-10, -10, 4, 0, 2],\n [3, 5, 1, -2, -5]]\nB =\n[[-2, 4, 6, -7, 7],\n [-7, 9, -3, 6, -6],\n [9, -6, -5, 7, -6],\n [1, 9, -7, 10, -3],\n [9, 3, -8, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-408", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[0, 3, 8, 4, -1, 8],\n [7, 8, 1, -7, -1, -5],\n [7, -10, 2, 3, -4, 5],\n [6, 1, -5, 5, 10, -8],\n [7, 2, -8, 1, -7, 1]]\nB =\n[[-3, 6, -3, -3, -5],\n [4, 6, 4, 5, -3],\n [5, -6, 2, 6, 4],\n [-2, -6, 3, -10, 8],\n [0, -5, 3, 5, -2],\n [-5, 6, 7, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -3, -1, 5, 2, 6],\n [7, 0, 9, -1, 0, -3],\n [-5, 4, -8, 1, -1, -7],\n [-4, -2, 6, 10, -5, 6],\n [6, 3, -8, 6, -6, -7],\n [10, -10, 0, -3, 9, 8]]\nB =\n[[6, -3, -8, -10],\n [2, 10, -5, -7],\n [4, -4, 9, -2],\n [3, 6, 4, -8],\n [-9, 4, -1, 3],\n [5, 9, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1459", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -3, 7, 0, 0, 3],\n [5, 10, -3, 2, -7, -6],\n [-1, -5, 8, 9, -1, 2],\n [-3, 3, -2, 0, 3, -3],\n [3, -2, 6, -4, 5, 3],\n [-8, -1, 10, -6, -3, -8]]\nB =\n[[8, 8, 5, -6, 9, -2],\n [-5, 7, 8, 10, -2, -3],\n [-1, 3, 9, 0, 4, 10],\n [-5, -8, 0, 3, -1, 4],\n [-7, -4, -8, 1, 10, -6],\n [6, 0, -3, -2, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 5, -10, 10],\n [-5, 5, -3, -3],\n [9, -4, -4, 6],\n [1, 9, -3, -10],\n [-5, -9, -5, -2]]\nB =\n[[-2, 2, -3, -4, -9],\n [4, -1, 8, 5, 3],\n [1, 6, -7, -6, -7],\n [7, -4, -10, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 4, 0, 8, 10],\n [4, 7, -4, 9, 7],\n [-10, 8, -8, 1, -3],\n [-6, -7, 9, 2, 5],\n [4, -2, -9, 6, 5],\n [2, -9, -3, 9, -4]]\nB =\n[[0, -4, -4, -5, 6],\n [2, 9, 8, -1, 9],\n [5, -2, 9, 6, -3],\n [-10, 9, -8, -3, -7],\n [-10, 6, -6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2603", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 0, 5, -7, -9, -7],\n [-9, 3, -6, 5, 5, -6],\n [-7, 8, -5, 3, -5, -5],\n [-5, 0, 2, -4, 4, -3],\n [-10, -7, -1, -2, 6, 3],\n [8, -9, -9, -3, -8, -2]]\nB =\n[[-7, -8, -5, 8, 3],\n [-5, -2, 3, -3, -8],\n [10, -7, -8, 8, 4],\n [-10, -7, 5, -6, 8],\n [5, -5, -6, -7, -7],\n [1, 8, 1, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -6, -2, -8, -9],\n [-2, -8, 0, -9, -4],\n [10, -2, -6, -6, 3],\n [-10, -7, 10, -4, 9],\n [-4, -1, 5, -3, 2]]\nB =\n[[-2, -1, 10, -6],\n [9, 8, 10, 4],\n [-3, -3, 1, 9],\n [0, -2, -6, -1],\n [9, -5, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[4, -1, -5, -8, 6, 2],\n [2, -1, 9, 0, 6, -2],\n [4, -2, 9, -5, -6, 0],\n [5, 5, 6, 9, -2, 1]]\nB =\n[[-7, 0, -10, 7],\n [-6, -3, 4, -8],\n [0, -7, -9, -4],\n [-1, -9, 1, -8],\n [2, 3, 5, -4],\n [1, 9, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -10, 8, -2],\n [-2, 3, 6, 0],\n [-8, -9, -4, 9],\n [-6, -1, -8, -9],\n [-9, 5, 4, 8],\n [-4, -2, -9, -4]]\nB =\n[[6, -7, 3, -4, 2, 9],\n [10, -6, 10, -10, -3, 7],\n [10, -10, -2, 1, -6, 7],\n [0, 4, 9, 9, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 3, -9, 5, -8, 0],\n [2, -2, 2, -7, -2, 1],\n [10, -4, 8, -6, -8, 9],\n [10, 0, -5, 6, -8, 8],\n [-8, 5, -6, 7, -9, -3]]\nB =\n[[-1, 9, -10, -2, -2, -10],\n [-5, -3, -1, -3, 4, 3],\n [4, 8, 6, 6, 1, -2],\n [-8, 9, -8, -9, 2, -1],\n [2, 4, -10, -9, 10, -5],\n [0, -5, -10, 7, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-594", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, -10, -7, -7],\n [-6, -2, -6, -6],\n [1, 4, 3, -1],\n [1, 10, 2, 4],\n [-5, 9, 8, 5]]\nB =\n[[-1, 3, 4, 9, 7],\n [1, -10, -10, -10, 1],\n [-10, -9, 4, -10, 6],\n [10, 2, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -5, -7, 3, -8],\n [-5, 1, 6, 4, 4],\n [3, -1, -1, 0, 0],\n [6, -10, -8, -4, -5],\n [5, -4, -3, -10, -10]]\nB =\n[[1, 2, 7, -2],\n [-8, 4, 4, 1],\n [-3, -3, 10, 0],\n [3, 1, 8, 4],\n [0, -5, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-5, 10, 10, -6, -4, -1],\n [-9, -1, -4, 6, 8, -5],\n [-10, -7, -6, -1, 5, -1],\n [-4, -4, 4, -4, 1, -5],\n [-2, -3, 10, -3, 2, 8],\n [0, 1, -8, -5, 5, -5]]\nB =\n[[-10, 4, 1, -10, -3],\n [-8, 1, -2, 7, 7],\n [8, 8, 2, 10, 0],\n [10, -5, 7, -1, 5],\n [9, 3, -6, -2, -2],\n [5, 5, -5, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 0, 5, -7, -6],\n [7, -10, 9, 0, -1],\n [-5, -9, -8, 5, 0],\n [-5, -1, -6, 7, 9],\n [10, -8, -10, -8, -9],\n [-1, 8, -5, 0, 7]]\nB =\n[[0, -4, -3, -5, 7],\n [-4, -2, 4, -4, 0],\n [-7, 5, -3, -1, 8],\n [6, -8, 6, -8, -5],\n [0, 2, 6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, -5, -8],\n [8, -7, -5, -2],\n [3, -6, 4, 10],\n [7, -8, -2, 2],\n [-3, -10, 7, -5],\n [1, 8, -2, 5]]\nB =\n[[-4, -1, 10, 2, 6],\n [-1, 1, 4, -4, 3],\n [7, 6, -4, 6, 1],\n [6, 9, 6, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 6, -2, -4, -10],\n [-3, -6, 5, -2, -3],\n [9, 2, 8, -8, 6],\n [6, -4, 0, -8, 9],\n [-2, -9, -6, 2, 2]]\nB =\n[[-7, 2, -9, 3, -1, -10],\n [-4, -7, -9, -1, 4, -5],\n [-8, 7, -7, -3, 2, -3],\n [5, -1, -1, 3, 1, 6],\n [-10, 1, -6, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -7, -2, 5, -3, -4],\n [-10, -2, -2, 5, -2, -2],\n [6, 0, -10, -3, -10, -7],\n [2, -8, -2, 9, 3, -6]]\nB =\n[[1, 5, 4, 7, -3, -8],\n [-7, 10, 4, -9, -5, 6],\n [-9, -7, -1, 10, 8, 7],\n [2, 9, -1, 7, 1, 2],\n [10, -5, -10, 4, -10, 7],\n [-4, -3, 10, 10, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, -7, 2],\n [3, 4, -6, 10],\n [10, -10, 2, -1],\n [3, 0, 5, 1],\n [-5, -6, 4, -10]]\nB =\n[[6, -5, -7, -8, 0, 0],\n [9, 4, 7, 5, 0, -2],\n [-8, -9, 6, -1, 5, 8],\n [-8, -8, 3, 9, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-635", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[8, 7, 9, 3, 3, -7],\n [-2, -3, -2, 4, 9, -8],\n [7, -9, 0, 8, 4, 9],\n [-4, 10, -4, -1, 3, 3],\n [2, -7, -8, 6, 4, -2]]\nB =\n[[-7, -2, -2, -9, -1, 9],\n [6, -9, 4, -10, 3, -6],\n [-6, -5, -10, -1, 3, -6],\n [10, -3, 4, 0, -8, -9],\n [-9, 7, -6, 10, -6, 10],\n [-10, 4, 10, 6, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -10, 1, -7],\n [10, -2, 1, 3],\n [4, -10, -8, 4],\n [-6, 6, 0, -9],\n [-6, 1, -7, 7]]\nB =\n[[-4, 9, 4, -1, -1, 1],\n [-4, 10, -5, -1, -6, -7],\n [-5, 5, -10, -9, -8, -10],\n [-4, 10, 6, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -7, 5, 3, 7],\n [9, 8, -8, -3, 10],\n [-7, 3, 6, 3, 9],\n [-4, 7, -8, -7, 0],\n [8, -7, -9, -10, -7],\n [4, 1, -1, -6, 9]]\nB =\n[[9, -9, -2, 10, 7, 9],\n [0, -10, 5, 9, -4, 7],\n [-5, 9, -4, -6, 7, 0],\n [-7, -3, 10, -4, 3, -9],\n [3, 10, -10, 8, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 2, 6, -3, -4, -3],\n [0, 8, -1, -2, 9, 9],\n [10, 6, -6, -9, -3, -7],\n [-10, -10, 6, 7, -9, -8]]\nB =\n[[-9, 1, 7, 5],\n [8, 4, 8, 6],\n [1, -4, 10, 0],\n [2, 9, -5, -10],\n [1, 0, 8, 9],\n [6, -9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-319", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-6, -7, -4, 9, 6],\n [7, -10, 4, -4, 2],\n [7, -10, -4, 4, -1],\n [5, -5, -9, -5, -9],\n [8, 7, -3, -10, -9],\n [7, -6, 3, -4, 1]]\nB =\n[[-2, -9, -2, -3, -10],\n [-2, -9, -3, 7, 2],\n [-8, 5, -1, -1, -3],\n [-4, -1, -5, 5, 3],\n [4, 2, 8, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 3, -10, -1],\n [-9, -5, 1, -2],\n [-6, 1, -10, 5],\n [2, 7, -1, -1],\n [-9, -2, -9, 10]]\nB =\n[[0, 9, 4, -9, 4, -9],\n [7, 5, 9, -2, 0, -8],\n [1, -4, 7, 9, 2, 9],\n [0, -9, -7, 10, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, -4, -8, -10, 3],\n [1, 4, -8, -1, 1, 3],\n [4, -7, 0, -5, 10, 7],\n [0, 7, -4, -6, 2, -3],\n [9, 4, 3, 0, -5, 10],\n [-4, -5, 8, -3, -4, -9]]\nB =\n[[7, -4, 1, -8, 2, -10],\n [5, 2, 0, -9, 8, 0],\n [-2, -9, 2, 3, 8, 7],\n [-9, -4, 10, 7, 1, 10],\n [-9, 10, 3, 6, -8, -6],\n [-3, -3, 9, 5, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-478", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 8, -3, 8],\n [8, 7, 0, -8, -4],\n [7, -5, -5, -9, -5],\n [8, 10, 7, 8, 1],\n [-4, -10, -5, 3, -8],\n [-4, -8, 9, 4, 2]]\nB =\n[[2, -3, -2, -5, 6],\n [8, -5, -4, -3, 1],\n [-3, 5, -3, 4, 7],\n [-1, -2, 8, 9, 0],\n [-8, 9, 0, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, -5, -3, -7, 2, 1],\n [0, 0, -10, 7, 0, 0],\n [-1, 1, 2, 6, -6, -7],\n [7, -9, 8, -7, -2, 8]]\nB =\n[[-10, 8, -4, -4],\n [5, 7, 1, 7],\n [-5, -5, 7, -10],\n [-5, -8, 0, -6],\n [-10, 6, -2, -2],\n [-7, -3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 0, -2, 7, 4, 8],\n [-6, 5, -5, 10, 9, 5],\n [-2, 0, -3, 2, -8, 0],\n [-7, 0, -3, -8, -8, -7],\n [-7, 9, 1, -3, 6, -8]]\nB =\n[[5, -2, 9, -5],\n [2, 3, -5, -9],\n [1, 0, -5, 2],\n [-2, -2, 3, 4],\n [7, -5, 7, 7],\n [6, 7, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "900", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 7, 3, -9, 10, -8],\n [-7, -6, 6, 0, -5, -4],\n [-5, 10, -5, -1, 2, -2],\n [0, 8, 2, 7, -10, -4],\n [7, 10, -1, -8, 10, -8]]\nB =\n[[4, -7, 8, 1],\n [6, 0, -9, -10],\n [-3, -6, -5, 0],\n [5, -8, 2, 3],\n [-3, 9, -4, 2],\n [-6, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[1, 0, -6, -2, -8],\n [-9, 4, -5, 5, -3],\n [3, -5, 4, 7, 4],\n [4, 0, -10, -2, 3],\n [-4, -2, -2, -10, -8]]\nB =\n[[10, 1, 8, -5, -1, -2],\n [-4, -9, -2, -10, -3, 1],\n [-5, 7, 10, 8, 3, 9],\n [-3, -6, 8, 2, 7, 7],\n [-5, -10, -4, 0, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 7, -4, 3, -5, -9],\n [-5, -3, -9, 6, -6, -9],\n [-3, 9, -8, 4, 5, 10],\n [-5, 3, -6, 7, 4, 8]]\nB =\n[[-1, 6, 6, -2, 3, -1],\n [10, -2, -4, -10, 3, 9],\n [10, -6, -7, -3, 2, -5],\n [-9, -3, 3, 6, -8, -6],\n [9, 8, -9, 7, -9, 4],\n [-5, 6, 10, 6, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, 1, 10, 0, -8],\n [6, -7, 8, 6, 3, 9],\n [-7, -2, -3, -10, 9, 9],\n [4, -1, -5, 1, 10, -6],\n [-6, 0, -1, 9, 1, -7]]\nB =\n[[-1, -9, 1, 0],\n [5, 3, 8, -4],\n [8, -3, 8, -2],\n [-8, 3, 5, -10],\n [-6, 7, 7, -8],\n [-5, 4, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 3, -5, 6, 10],\n [-6, 0, 3, -8, -5],\n [9, 9, 5, 3, -9],\n [1, -7, 0, -1, -1]]\nB =\n[[-1, 5, 7, 2, -3, 3],\n [6, 4, 8, -3, -10, 9],\n [-10, 8, 4, -4, -10, -2],\n [-2, 5, 10, -3, -6, 10],\n [0, 6, 0, 1, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -3, -9, 2, -7, 4],\n [7, -7, 3, 7, -6, 6],\n [3, 10, -3, -3, 6, -6],\n [-9, 5, 9, -7, -7, -10],\n [6, 6, 5, 6, 8, -1],\n [1, 10, 8, 3, -5, -2]]\nB =\n[[10, 4, 9, 1],\n [9, 6, 2, -6],\n [-2, 1, 0, 0],\n [5, 1, 10, 2],\n [-1, -4, 3, -4],\n [4, -10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 9, 0, 0, 8],\n [1, -6, 10, 2, -6],\n [10, 8, -7, -7, -7],\n [2, 4, -7, -3, -10],\n [-3, -1, -6, 0, 4],\n [5, -6, -3, 9, 2]]\nB =\n[[-8, 4, 10, 3, 9],\n [-9, 3, -3, -1, -4],\n [-1, 3, -10, 6, -10],\n [5, 0, 7, 10, -7],\n [10, 2, 4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -6, -2, -10],\n [-9, -8, 6, -6, -1],\n [6, -8, -1, 10, 10],\n [-7, -8, 8, 9, -2],\n [-4, 3, -1, 9, 4],\n [-10, -1, -2, -3, 0]]\nB =\n[[7, 3, 6, -9],\n [-1, 3, -5, 3],\n [2, -5, 6, 3],\n [-5, -6, 10, 2],\n [-8, -1, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, -10, 5],\n [6, 2, -7, 1],\n [3, -7, 9, -1],\n [-7, -10, 2, -3],\n [-10, -3, 10, 6],\n [-10, -3, -9, 5]]\nB =\n[[-6, 0, -8, -3],\n [0, -10, 8, -8],\n [-1, 2, 3, 8],\n [-8, 7, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 0, -3, -8, -9],\n [10, 10, -6, -2, -8],\n [5, -9, -10, -10, 10],\n [10, -1, 0, -5, 10],\n [0, -6, -10, 2, 4],\n [-8, 6, 0, 6, 5]]\nB =\n[[10, 3, -1, -4, -7],\n [-8, -3, 6, -8, 4],\n [-2, 1, 0, -8, 9],\n [5, 8, 6, -5, -1],\n [4, -5, -7, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-8, -1, -7, -7],\n [5, 3, 2, 9],\n [1, -5, -5, -10],\n [-3, -4, 9, -7],\n [8, 4, -1, 9]]\nB =\n[[-8, -8, 10, 4, 4, -4],\n [8, -9, -10, 6, 9, 0],\n [7, 8, 3, -6, 7, -4],\n [-5, 4, -4, -2, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -10, -2, -4, 9, 1],\n [9, 4, 3, 9, 8, 5],\n [2, -3, 7, -4, -7, -1],\n [-5, 8, -4, 6, -10, 9],\n [10, -2, 0, 10, -6, 5]]\nB =\n[[-8, -4, -1, 2],\n [4, -3, 5, -10],\n [-7, 10, 5, 4],\n [2, 2, 0, 10],\n [4, 8, 10, -6],\n [-7, -5, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[-2, -6, 5, -6, -1, -7],\n [-4, -9, 0, -2, 2, -8],\n [-8, 6, -4, -6, -10, 1],\n [-9, -8, 8, 8, 5, -6],\n [-9, -2, -10, -2, 1, 2],\n [-1, -8, 9, 5, 4, -2]]\nB =\n[[-8, 0, 9, 5],\n [7, 3, -5, -7],\n [3, -3, -4, 8],\n [-7, -8, 1, 0],\n [10, -3, 3, -4],\n [-6, 8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 6, 0, -4],\n [3, -1, 4, -1],\n [-5, -5, -8, -5],\n [-3, 7, 6, -8],\n [-6, 9, 6, 1]]\nB =\n[[8, -8, 3, -1],\n [3, 0, 0, -10],\n [-6, 5, 2, -7],\n [9, -10, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-9, -10, -10, -2, 5],\n [-2, 0, 5, 4, 0],\n [-5, 2, -6, 3, 1],\n [-10, -10, -3, 9, -7],\n [-9, 10, 10, -10, 8],\n [-5, 5, -2, 3, -10]]\nB =\n[[2, 2, 7, -9],\n [9, -6, -5, 6],\n [-9, -2, -7, -10],\n [-8, 2, 10, 9],\n [-1, -7, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[7, -6, -6, 2, 6, -9],\n [-6, -8, -4, -6, 3, 1],\n [8, -3, 1, -8, -4, -3],\n [-5, 2, 6, -9, 6, 7],\n [8, 1, 0, -3, -10, 6]]\nB =\n[[-8, 9, -10, 0],\n [-8, 10, -9, 9],\n [2, -5, -8, 1],\n [9, 3, 0, -1],\n [10, -9, 9, -8],\n [-5, -8, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[9, 5, 0, 7],\n [3, 8, 9, 5],\n [0, 6, -5, -6],\n [7, 6, 0, -2],\n [-4, 1, -3, -7],\n [-1, -6, -5, -2]]\nB =\n[[-8, -2, 6, 2],\n [-4, 9, -2, -8],\n [8, -10, -4, -7],\n [-9, 8, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 10, -1, -4],\n [7, -10, 10, 0],\n [5, -7, 2, -6],\n [10, 4, -3, -6],\n [5, -9, -9, 7]]\nB =\n[[1, -7, 2, 1, 6, 2],\n [-6, 3, 2, 0, -2, 8],\n [-4, -1, 9, -4, -4, -6],\n [6, 10, 8, 10, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -4, -7, 9, 5],\n [4, 5, 5, -9, 7],\n [7, 2, 8, 2, -3],\n [-1, 5, 3, 6, 3],\n [-7, 1, 8, -3, 10],\n [0, 0, 0, -5, -8]]\nB =\n[[-8, 7, 9, -6],\n [-3, -3, -6, -4],\n [6, -10, 1, -8],\n [4, 3, 3, 8],\n [-8, 5, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 2, -2, 2, 9, -6],\n [6, -10, -8, 9, 10, 8],\n [10, 6, 5, -3, 7, -1],\n [6, 3, -1, -8, 8, 7],\n [6, 2, -10, 8, 2, 1],\n [-3, -1, -3, 7, -1, 2]]\nB =\n[[-6, 8, 1, 10, 1, -6],\n [-3, 9, -10, 4, 8, -8],\n [0, -7, 5, -9, 10, 5],\n [7, 1, 2, 7, -1, -3],\n [2, -3, 5, 1, -1, -5],\n [5, 2, -2, -5, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 3, 1, -7, -9, -8],\n [5, -5, 2, -2, 10, 6],\n [-4, -1, -8, 6, 7, 7],\n [-9, -3, -3, 9, 8, 1]]\nB =\n[[-6, -5, 6, -4, -10],\n [7, -4, -8, -7, 9],\n [6, -8, 7, 3, -3],\n [10, -8, -5, -5, 0],\n [7, 9, -7, -7, -2],\n [7, -1, -6, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 8, 2, 7, -3],\n [7, 8, -5, -9, 1],\n [5, 1, -4, -6, 1],\n [5, 8, 0, 5, -1],\n [10, -10, -1, 1, -7],\n [-2, 8, 4, 6, -3]]\nB =\n[[-8, 3, -1, -9, 3, 5],\n [-2, -5, 9, -3, -7, 1],\n [6, 10, -2, 1, 1, -10],\n [-4, -5, 3, 8, 6, 2],\n [-2, 1, 1, 8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 5, -6, -6],\n [-4, 9, 3, -4],\n [-7, 2, 2, -8],\n [-5, -4, -10, -10],\n [2, -8, -1, -10]]\nB =\n[[-4, -6, -3, -9, 1],\n [-7, 5, 3, -10, 10],\n [-3, -10, 7, 1, -2],\n [-5, -1, 0, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 6, 10, 5, 7, 2],\n [6, -6, 6, -10, 3, -8],\n [-5, 3, 4, -3, -1, 4],\n [1, 7, 2, -10, 4, -7],\n [-7, 0, 3, -3, 1, 1],\n [0, 1, 6, 5, 2, -10]]\nB =\n[[0, 2, -7, -1, 4, 5],\n [-8, -7, -1, -8, -1, 8],\n [10, 9, 1, 3, 3, 10],\n [-4, 10, 6, 3, -4, -7],\n [8, 8, 0, 6, 1, -7],\n [10, -7, -4, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1097", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 3, 4, 0, -10],\n [-1, 10, 7, -5, 8],\n [-4, 1, -6, 0, -2],\n [-4, -8, 4, -6, 8],\n [9, 3, -7, -4, 8]]\nB =\n[[0, 8, -1, -1, 7, 7],\n [-5, 10, -6, -1, 7, 6],\n [-9, 6, 1, 10, -3, -3],\n [-10, 9, -9, 5, 10, -8],\n [-7, -9, 0, 10, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -5, -10, -2, -4],\n [9, -6, -3, -3, 7],\n [2, -8, 4, -9, 7],\n [-6, 7, -10, -1, -3],\n [2, 5, 3, 5, -2]]\nB =\n[[-1, 8, 0, 7, -3, 10],\n [-1, -1, -8, 5, -2, 7],\n [-7, -7, -5, -5, 7, -4],\n [5, 2, 5, -10, 9, 4],\n [-3, -2, 6, 0, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -2, -6, -10],\n [3, 8, -8, -5],\n [2, 2, 2, -5],\n [-9, 0, -1, 9],\n [3, -1, -7, 0]]\nB =\n[[0, 9, -2, -9],\n [-7, -4, -10, 0],\n [0, -8, -8, 8],\n [4, -9, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[10, -4, 7, 3, 8, -4],\n [7, 0, -2, 1, -4, 5],\n [1, -6, -1, -8, -8, -9],\n [-4, -7, -5, 5, 1, 5],\n [-8, 6, 5, -10, 6, -4],\n [-3, 6, -5, 5, -1, 8]]\nB =\n[[3, -7, -8, 0],\n [2, 6, 5, 6],\n [-1, 9, -9, -6],\n [-4, -6, -8, 0],\n [-5, 4, -7, -1],\n [3, -8, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -7, 3, 3],\n [3, -7, 7, -10],\n [9, -3, -1, -1],\n [-1, -5, -10, 8],\n [-9, -1, -3, -5],\n [6, 2, -3, -4]]\nB =\n[[8, -7, -3, -3, 8, -10],\n [-6, 3, -1, -7, 3, 2],\n [-5, -5, -8, 2, 3, 10],\n [-9, -9, 7, -10, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2261", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[9, 0, 5, -3],\n [-10, -3, 2, 6],\n [-5, 8, 10, -4],\n [8, -9, -7, 6],\n [9, -2, 3, -6]]\nB =\n[[-6, -3, -7, 2, 9, -10],\n [-6, -6, 1, -4, -5, 6],\n [6, -2, 9, 6, -7, 9],\n [10, 3, 7, -10, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 10, -7],\n [8, 8, 2, 0],\n [1, -8, -3, -2],\n [10, 3, -3, -3]]\nB =\n[[-2, 1, 0, -1],\n [5, 3, 0, -5],\n [10, 9, 2, -9],\n [4, 9, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 10, -7, 9, 3, -9],\n [7, 1, -4, 5, 0, -4],\n [-7, 3, -6, 9, -4, -6],\n [-2, -7, -1, 5, 4, 6],\n [4, -2, 10, 0, -6, -9],\n [1, -5, -9, 6, -2, -5]]\nB =\n[[6, 2, -5, 8, -3, 5],\n [-4, -4, -9, 2, 2, 9],\n [9, 1, -4, -2, 5, -2],\n [-6, 0, 8, 3, 9, 5],\n [0, -7, 4, 0, 4, 9],\n [-7, 7, 9, -3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, 5, 7],\n [9, -10, -2, -8],\n [3, 4, 9, -8],\n [-3, 6, -2, 4]]\nB =\n[[8, 3, 7, 2],\n [2, 1, 7, 3],\n [8, -5, -6, -3],\n [1, 2, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -5, 1, 9, 0],\n [5, -3, 7, 7, -4],\n [8, -2, 4, 2, 10],\n [-7, -1, -9, 1, -4],\n [5, -2, 10, 3, -2]]\nB =\n[[10, 8, 4, -7, -3, 5],\n [-1, 5, 1, 10, -4, -7],\n [-4, -8, -1, -6, 10, -3],\n [5, -1, -4, 7, -5, -5],\n [-5, -8, -5, 4, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 4, -7, 4, 0],\n [1, 7, -1, -4, 1],\n [-6, 10, 4, 5, -3],\n [-6, -5, -8, 3, 6],\n [-7, 4, -8, -6, 4],\n [-5, 9, -5, 3, -2]]\nB =\n[[10, 4, 0, 0, 9],\n [2, 2, -4, -1, -1],\n [0, -1, -2, 3, 1],\n [4, 6, -8, 1, -4],\n [10, 5, -9, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-589", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -3, -8, 4],\n [9, 2, 1, -5],\n [-5, -8, -2, -4],\n [2, 6, 0, 0]]\nB =\n[[-9, 1, -1, -5, -6, 2],\n [-9, -8, -9, -5, -3, -2],\n [4, -3, 2, 9, -1, -7],\n [9, -2, 0, 2, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -10, -3, 8],\n [-8, 2, -8, 8],\n [1, -1, -5, -7],\n [8, -7, 7, -4]]\nB =\n[[-5, -2, -8, 0],\n [-10, -4, 1, 3],\n [-1, -3, 8, 9],\n [5, 9, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -5, 9, -2, -5],\n [10, -8, 9, 5, -4],\n [-7, -6, -3, 7, 2],\n [8, -6, -10, -2, 9],\n [2, 2, -4, -10, 9]]\nB =\n[[10, -6, -4, -10],\n [0, 6, 8, 5],\n [2, 3, -4, -2],\n [-1, 1, 9, -7],\n [-2, 1, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1337", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -2, 10, 6],\n [3, -2, 2, -1],\n [9, 8, 9, 2],\n [0, 6, 5, 3],\n [2, -4, 2, -5]]\nB =\n[[3, 0, 5, -9, -5, -7],\n [-10, -4, 9, -5, -7, -7],\n [-2, 2, 5, -5, -10, -5],\n [-3, -1, -5, 0, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-822", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 9, -7, -7],\n [1, 7, 5, -6],\n [-9, 9, -7, 1],\n [7, 6, -1, -8],\n [-1, -10, -4, -8],\n [-6, -9, -4, -7]]\nB =\n[[-8, 0, 4, 8, -3],\n [8, 10, -5, -3, 3],\n [-6, -3, 9, 8, 7],\n [5, 1, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-307", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 7, -8, 10],\n [-10, -7, 0, -6],\n [-10, -9, -3, 1],\n [-4, 9, 8, 1]]\nB =\n[[-2, 9, -5, -4],\n [6, 4, 5, -5],\n [3, -9, 6, 6],\n [-4, 4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, -7, 5, -10],\n [-3, -6, -5, -2, 0],\n [7, -3, 4, -3, -9],\n [-10, 9, 4, 2, 3],\n [2, 6, -8, -6, 3],\n [4, -2, 1, -8, -9]]\nB =\n[[-2, 2, 1, 9],\n [8, -10, 5, 7],\n [3, -6, -4, -3],\n [2, -9, -8, -7],\n [-9, -8, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, 3, 4, -9, -7],\n [-9, 3, -6, -5, -4, 0],\n [-2, 9, -8, 1, -2, -10],\n [-7, -10, 2, 8, 2, 9],\n [-6, -4, -4, -10, -2, 2]]\nB =\n[[6, 10, 1, -9, 5],\n [-5, -10, 2, 8, 3],\n [-1, -7, 5, 9, -1],\n [9, -5, -3, -1, -4],\n [-7, 4, 6, -10, 9],\n [-4, -3, 10, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 2, -2, -4, -5, 5],\n [5, -4, 7, 1, 2, -8],\n [-3, -2, 5, -7, 10, -10],\n [-5, 7, 9, 8, 3, -7]]\nB =\n[[7, 6, 9, -3],\n [-9, 8, 3, -7],\n [9, 10, -10, -5],\n [5, 3, 5, 0],\n [7, 7, 7, 6],\n [-3, 0, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1395", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 1, 1, -10, 8],\n [8, 1, -5, 9, -5],\n [7, -4, -3, -7, 7],\n [3, -9, -5, 5, 1]]\nB =\n[[4, 9, 2, 5, 0, -10],\n [-1, -9, 10, -4, -3, 3],\n [-1, 7, -9, 5, 4, 2],\n [-8, -5, 0, 2, -10, -7],\n [8, -5, 9, 6, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -7, 1, -7, 8, -3],\n [-8, -10, 5, 1, -4, 10],\n [3, 0, -8, -9, 2, -4],\n [-1, 0, -4, -6, 8, -7],\n [-6, -1, 3, -6, -2, 6]]\nB =\n[[-2, -9, -8, -10, -3],\n [1, -5, 10, -6, 2],\n [4, 0, 10, 9, -5],\n [7, -6, 8, 5, 9],\n [-5, -1, -6, 0, -3],\n [-9, 9, -1, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -3, -7, 10, -6, -2],\n [-7, -5, 10, 0, -10, -10],\n [7, -7, -2, -7, -1, -4],\n [8, 2, 1, -7, 2, -6]]\nB =\n[[9, 10, -8, -6],\n [-6, 6, -5, 0],\n [2, 5, 9, 3],\n [8, -8, 8, 6],\n [-7, 4, -5, 1],\n [5, 4, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 5, -5, 9, 5],\n [-5, 4, 9, -1, -10],\n [4, -1, 8, -7, 1],\n [2, 9, -3, 2, 7],\n [-7, 10, -1, -1, -6],\n [-1, 6, -9, -9, 2]]\nB =\n[[-4, -6, -5, -7],\n [4, -10, -8, 1],\n [2, -8, 6, -4],\n [10, -5, -4, -9],\n [-1, 2, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1777", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[2, -2, 5, 3],\n [-3, -7, 1, -1],\n [-4, 3, -5, -5],\n [-7, 2, -3, 4],\n [-10, -8, -6, 7],\n [-6, 2, -8, 9]]\nB =\n[[2, -8, -5, -10],\n [-6, 0, 1, -4],\n [8, 6, 6, -9],\n [-10, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 6, -3, -2, -7, -4],\n [-5, -9, 5, -9, 1, -4],\n [1, 2, 5, -7, -1, -4],\n [4, -7, -9, 7, -5, -10],\n [5, 3, -4, -5, 10, 6],\n [-5, -4, 0, -8, -5, -6]]\nB =\n[[-9, 6, -7, 0, -6],\n [-10, 4, -7, 0, 3],\n [7, 4, -5, -10, -3],\n [7, 8, 9, -5, -1],\n [1, -3, -6, -9, 4],\n [9, 5, -8, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -3, 5, 7],\n [-3, -1, 10, 9],\n [-2, -9, -8, 5],\n [-3, -1, -7, 5],\n [-4, -2, 4, -1]]\nB =\n[[-8, -8, 1, -9],\n [-1, 3, 3, 7],\n [6, -3, 5, 9],\n [3, -4, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, 7, 1, 5],\n [-7, 6, 2, 7, -6],\n [-3, -9, 3, 5, 6],\n [-8, -8, 2, 5, 8],\n [-8, 1, -1, 5, -7]]\nB =\n[[-9, -9, 8, -5, -7],\n [-7, 9, -3, 7, 3],\n [4, 0, 7, -7, 3],\n [-8, 4, 3, 2, -5],\n [-6, 5, 10, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "711", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 4, -8, 7, -8, -10],\n [8, 6, -4, 10, 1, -4],\n [10, -9, 2, 0, 3, 8],\n [-6, 1, -2, 9, 3, -10]]\nB =\n[[-9, 3, -9, -6],\n [-4, 7, -8, -7],\n [10, -10, 7, -6],\n [-1, -6, 8, 1],\n [-10, -4, -2, 3],\n [-6, -4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -8, 9, -5],\n [2, 8, 7, 2],\n [10, 1, -8, 1],\n [-2, -8, -7, -3]]\nB =\n[[-5, -9, 1, -1],\n [-9, 1, -5, -10],\n [0, 7, -9, 10],\n [3, 8, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, 0, 3, 0],\n [5, -1, 5, -4, -5],\n [-10, 2, 10, -8, -6],\n [6, -9, -8, 10, 2],\n [3, -9, -1, 2, 1]]\nB =\n[[0, -9, 9, 8],\n [-10, 9, 0, -5],\n [-1, 7, 4, -9],\n [7, -8, -6, 4],\n [2, 4, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[2, -4, 6, 2, -6, 1],\n [3, -9, -5, 10, 1, 1],\n [9, -7, -7, -2, -10, 2],\n [1, 10, 0, 1, -8, -3],\n [-3, -5, -7, 6, 7, -9]]\nB =\n[[-9, 1, -4, 2, 1],\n [7, 10, -3, 4, 4],\n [4, 0, 7, -3, 0],\n [-7, -9, -8, -8, 10],\n [3, -7, -6, 6, -2],\n [3, 4, 4, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -5, -3, 3, -7],\n [-10, 8, 0, -3, 10],\n [-8, 1, -8, 6, 4],\n [-9, 1, 1, -2, 9]]\nB =\n[[10, -1, -2, 8, 9],\n [-9, 3, -2, 3, -3],\n [7, -2, -5, 6, 6],\n [7, -10, -3, 8, 5],\n [-2, -9, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1180", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-5, -5, -9, -8, 0, 0],\n [9, 8, -9, -1, -1, -8],\n [9, 2, -5, -6, 9, 1],\n [3, 0, 8, -9, -2, -5]]\nB =\n[[-7, 5, -3, -5, -1, -4],\n [3, -4, -9, -10, -6, 7],\n [-6, 6, 2, -4, -8, -9],\n [-10, 0, 7, -9, -10, 3],\n [7, 4, 3, 6, -10, 2],\n [2, 6, -3, 7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -5, 0],\n [-5, -2, 2, -2],\n [-6, -2, 3, -9],\n [-7, 6, -9, -5],\n [-5, 1, 9, 2],\n [4, 8, 10, 7]]\nB =\n[[2, -2, 8, -3, -4, 1],\n [-9, -8, -2, 7, -9, 3],\n [-10, 9, -3, -6, -3, 10],\n [2, 8, -7, 5, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-9, 2, 2, 4, 1, -3],\n [-8, 0, 5, -2, 1, -3],\n [8, -1, -8, 3, -9, -9],\n [2, -7, 1, -5, -5, 2],\n [0, -4, 4, -6, -8, -6],\n [2, 4, 1, 2, -8, -1]]\nB =\n[[2, 8, -4, -4, -4],\n [8, 9, -7, -9, 3],\n [5, 8, -10, 8, -3],\n [5, 9, 2, 7, -3],\n [-8, -7, -6, 9, -10],\n [1, -3, 5, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[7, 3, 2, 10, 9],\n [-6, -4, 1, -1, -3],\n [-6, 9, 9, 6, 9],\n [-10, 8, 4, -5, -3],\n [1, 0, 2, 9, 6]]\nB =\n[[-7, -4, -5, -2, -8],\n [-9, -3, -5, 3, 5],\n [-6, 10, 9, 2, 1],\n [-7, -3, 8, -3, 6],\n [-9, -3, -7, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, 7, 10, -1],\n [-10, -1, -2, 0],\n [-1, -10, 4, 2],\n [-7, 10, 9, 7],\n [2, 6, 1, -3],\n [5, 6, 4, -2]]\nB =\n[[-9, 6, 3, 0, -9, -4],\n [9, -4, 1, -9, 2, 3],\n [-4, 6, -2, -5, 6, -4],\n [-9, 8, 1, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-309", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 5, -3, -8, -2],\n [-3, -3, 7, 9, -10],\n [1, 5, 10, -1, 10],\n [-1, -10, -10, -2, -5],\n [3, 1, 7, -7, 2]]\nB =\n[[1, 0, -5, 6, 0, -2],\n [3, -6, -3, 1, 6, 3],\n [1, -8, 7, -4, 7, -8],\n [-8, 5, -5, 5, -3, -10],\n [-6, 4, 2, 10, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 10, 9, 5, 3],\n [-7, 2, -9, -8, -4],\n [4, -2, -10, -9, -6],\n [-7, 10, -8, -3, 5],\n [-5, -8, -3, 2, 6],\n [3, 5, -10, 2, 2]]\nB =\n[[10, 5, -6, 5, -10, 2],\n [2, -2, 10, 8, -9, 4],\n [2, 2, 7, 2, 7, -9],\n [3, 6, -8, -4, -5, 8],\n [6, 5, -3, -4, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 0, 4, 3],\n [0, -1, -6, 9],\n [-4, -2, -3, 3],\n [10, 5, -6, 4]]\nB =\n[[9, -4, 9, 5, -9],\n [-7, 1, -9, 7, -2],\n [9, 5, -4, -9, 2],\n [-3, 1, -8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 8, 7, 9, -1],\n [-8, -1, 2, 9, -6],\n [9, -4, -9, -10, -4],\n [-10, -1, 10, 7, -3],\n [6, -7, -2, 8, 5],\n [9, 7, 7, -7, 10]]\nB =\n[[-5, 8, 6, 4],\n [-5, -10, -7, 10],\n [-4, -2, 6, 5],\n [1, -10, 0, -3],\n [-3, 2, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1779", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 6, 4, 6, 1, 2],\n [-7, -4, 9, -6, 4, -3],\n [-5, -8, -8, -5, -4, 6],\n [-5, 5, -10, 7, 4, -3]]\nB =\n[[-1, 6, 5, -4, -8],\n [-10, -1, 4, 9, 9],\n [8, 9, -9, 3, 1],\n [-4, 0, -6, 0, 7],\n [6, -10, 4, 0, 10],\n [-10, 2, -8, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -1, -10, 10, -4],\n [-9, 1, -10, -8, -7, -3],\n [9, 0, 7, 1, 10, -8],\n [9, 7, 5, 6, 7, -8],\n [1, 2, 5, 7, -3, -4]]\nB =\n[[0, -2, 7, -1, 1],\n [3, -10, 8, 10, -6],\n [10, -7, -3, -4, 2],\n [-8, -10, -5, -6, -9],\n [-2, -8, 10, -5, -7],\n [2, -5, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1885", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 10, -4],\n [6, 4, 7, -7],\n [-9, -10, 1, 10],\n [-5, -8, -2, 4],\n [-5, -10, 8, 2],\n [9, -7, -5, -10]]\nB =\n[[-6, 1, 0, -10, 8],\n [8, -5, 3, -5, -2],\n [-4, 0, -9, 9, 10],\n [-9, 0, 8, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2246", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -2, -4, 2, -2],\n [-6, -9, -6, -2, 8],\n [1, 10, 10, -2, 3],\n [10, -4, 0, 6, 5]]\nB =\n[[-8, -8, -3, -3],\n [-3, 7, 10, 3],\n [-6, 0, -7, 5],\n [5, -6, 10, 0],\n [-3, -6, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 6, -5, 5, -8],\n [-1, 7, 5, 1, 6],\n [-3, -6, -1, 1, 3],\n [3, -7, 6, 9, 8]]\nB =\n[[-6, 3, -8, -5],\n [-3, 9, -7, 10],\n [6, -7, 9, 3],\n [-7, 2, 8, 7],\n [-8, -10, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -5, 4, -6],\n [6, -9, 10, 7, -9],\n [9, -2, -10, 9, -9],\n [3, -4, 5, 7, -1],\n [0, -8, -1, 6, 8],\n [-6, 5, 6, 3, -6]]\nB =\n[[1, 1, -4, 6, -9, 0],\n [9, -2, 10, 4, 7, 6],\n [5, 2, -2, 7, -9, 10],\n [-3, -5, -6, 8, -4, 9],\n [4, -7, 10, 3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -8, -10, -7, 8],\n [-9, 0, 3, -10, -1],\n [6, -4, -5, 7, 6],\n [1, -5, 2, 5, -9],\n [-2, -8, 9, -5, 7],\n [6, -10, -4, 0, 7]]\nB =\n[[-4, -8, -9, -8],\n [-5, 8, -6, 1],\n [10, 3, 8, -1],\n [5, 4, 9, 3],\n [4, 4, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -3, -8, 2, 4, 6],\n [1, 0, -6, -10, 8, 3],\n [-1, -8, -2, 1, -1, -9],\n [-3, 3, 10, 3, -10, -1]]\nB =\n[[1, -2, -8, -7],\n [-8, -10, -8, -9],\n [3, 5, 9, 7],\n [1, 10, 10, -9],\n [7, -9, -5, 5],\n [6, -8, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 4, 1, -5],\n [-10, -7, -2, 7, 0],\n [3, 10, 9, 4, 10],\n [-10, -7, 3, -6, 0],\n [-5, 9, 3, -5, 6],\n [-7, -10, 3, 7, 0]]\nB =\n[[-2, -8, -10, -10],\n [-2, -2, -8, -4],\n [0, 4, -9, 2],\n [-6, 7, -8, -4],\n [1, 2, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1809", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, 7, -8],\n [-5, 8, -5, 0],\n [9, -7, -10, 1],\n [3, -3, -9, 2],\n [2, -3, 9, -1],\n [-1, -7, -8, 4]]\nB =\n[[-10, 9, 5, 1],\n [-6, -8, 8, 5],\n [4, 1, -7, 8],\n [3, 7, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 1, -4, 7],\n [-6, -4, -8, 9],\n [-4, 7, -5, 10],\n [3, 9, 0, -10],\n [-1, 2, 6, -3],\n [8, -1, 4, -1]]\nB =\n[[4, 5, 0, 7],\n [-2, -10, 6, -3],\n [8, -10, -6, 4],\n [0, 1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -2, -3, 10],\n [-7, 8, 7, 6],\n [-1, 9, -4, -9],\n [1, -9, -2, -1]]\nB =\n[[-10, 0, 7, -7],\n [-10, 5, 2, 5],\n [4, -1, -8, -9],\n [8, 2, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 10, 9, 10, 7],\n [2, -4, 8, -10, -4],\n [9, 10, -4, -8, 6],\n [-10, -8, 4, 8, 6],\n [-6, -1, 9, 5, -10],\n [-2, 0, 4, 0, 6]]\nB =\n[[-9, -4, -3, -5],\n [5, 0, -5, -9],\n [9, 4, 3, -6],\n [5, 7, -9, 5],\n [-5, -9, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1998", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -3, 7, -4],\n [5, -2, 10, -10],\n [-8, 4, 6, -5],\n [10, 4, 0, -10]]\nB =\n[[-8, 0, -2, 9],\n [9, -6, 0, 7],\n [-4, -4, -1, -1],\n [-10, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, 1, 9, 9],\n [5, 7, 3, -10, -4],\n [-2, 10, 5, -1, 3],\n [-3, 0, -5, -3, 2],\n [-4, 7, -6, -2, -1],\n [1, -8, 9, 9, 10]]\nB =\n[[-5, -9, -4, 2],\n [-3, -1, 6, 4],\n [-7, -2, 6, 3],\n [3, 1, -2, 3],\n [-5, -3, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, 5, 8],\n [2, 8, -10, -9],\n [-6, 1, -4, -9],\n [10, 7, 0, 1]]\nB =\n[[-7, 8, 10, -7, -9, -8],\n [5, -5, -2, -1, -7, 2],\n [6, -8, -5, -2, 8, 7],\n [-3, 10, -9, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-437", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, -1, -2, 8, -8],\n [0, 0, 0, 4, -8, -5],\n [-3, 4, 3, -2, -8, 10],\n [-10, 8, -4, -6, -1, 6],\n [9, -5, -7, -10, 8, -7],\n [5, 4, 6, 1, -8, -1]]\nB =\n[[5, 0, -7, -9, 5],\n [-7, 6, 7, -8, 4],\n [8, -4, -2, -8, 3],\n [6, -2, -4, -2, 0],\n [2, -1, 10, -10, 8],\n [8, 8, 5, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -3, -2, 3],\n [-5, 7, 4, 3, 6],\n [-1, -4, -6, -2, -8],\n [5, -8, 9, 7, 1],\n [0, 0, -10, -10, 2]]\nB =\n[[4, -10, 5, 9, 5, -6],\n [-3, -9, -6, 5, 1, 6],\n [-10, 0, -10, 6, 2, 10],\n [7, -7, -5, -8, 8, -7],\n [1, -4, 2, -3, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 9, -3, 0],\n [4, 4, -2, 9],\n [3, -3, 10, 4],\n [-7, 3, -8, -7]]\nB =\n[[3, -6, 1, 0, -8],\n [9, 7, -9, 10, 6],\n [3, 6, 3, -7, -2],\n [-3, 4, -7, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 7, -4, 5],\n [6, 5, 9, -1],\n [4, -10, 3, 0],\n [-6, -3, 9, -4],\n [7, 3, -2, 4],\n [4, 8, 3, -6]]\nB =\n[[2, 2, -7, 2, -6],\n [9, 10, -8, -7, -8],\n [10, 9, 5, 6, 5],\n [-1, -10, -1, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "533", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, -8, 3, 2],\n [9, -8, 6, 6, -8],\n [0, -3, -3, -8, 7],\n [1, 4, 10, -4, 6],\n [-10, -9, -2, 5, -6],\n [8, 4, -4, 10, 10]]\nB =\n[[-9, -10, -3, 7],\n [-4, -5, -2, -5],\n [9, 0, 4, 4],\n [6, 9, -1, -10],\n [5, -10, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 10, 4],\n [-10, 1, 0, 1],\n [-5, 10, -6, -3],\n [5, 9, -7, -6],\n [-5, -4, 3, -8],\n [10, -9, -5, -6]]\nB =\n[[8, 2, 1, 9, -8, -10],\n [1, 4, -10, -7, -10, 8],\n [5, 6, 1, 1, 8, 5],\n [7, 10, 10, 4, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 0, 10, 10],\n [3, 6, -5, 10],\n [9, 6, 5, 4],\n [-2, -1, 4, -5],\n [9, 3, 3, 0],\n [3, -5, 5, -4]]\nB =\n[[-10, -8, -4, -10, -6, 6],\n [5, 4, -6, -4, 0, 5],\n [-1, 7, -10, -3, -10, 4],\n [-7, -4, -10, 6, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[10, 3, -2, 10, 0],\n [0, -2, -9, 7, 5],\n [-4, 7, 6, -4, -9],\n [10, 0, 2, 0, 2]]\nB =\n[[-9, 2, -7, -1],\n [8, -6, -5, -10],\n [7, -6, 4, 10],\n [6, -7, -1, -5],\n [-2, -1, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 9, -10, 6, 9, -3],\n [-7, 1, 10, -7, 6, 6],\n [8, 7, 4, -7, -1, -4],\n [3, -10, -9, -8, 2, -7]]\nB =\n[[8, -4, -3, 7, 0, -5],\n [0, 1, 9, -3, -5, 8],\n [-5, -4, -4, -9, -8, -5],\n [7, -5, -9, 0, 9, 0],\n [-3, -9, -1, -8, 5, 2],\n [-8, -8, -6, -5, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, -1, 5],\n [8, 10, 9, 1],\n [5, -10, 3, 9],\n [5, 2, 6, -9],\n [-7, 4, 1, 9]]\nB =\n[[-4, -8, 10, 4],\n [-3, -7, -7, 0],\n [-10, 0, 4, 3],\n [7, 2, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -8, -6, -3, 9, 10],\n [3, -1, -9, -3, 1, 2],\n [5, -1, 7, -3, 7, -7],\n [-8, 5, 5, 8, -1, -5],\n [0, -1, 0, 10, -10, 1],\n [1, -2, -2, -9, 5, 1]]\nB =\n[[7, 4, 5, 0, 4, -10],\n [-2, -4, -4, -2, -8, -3],\n [-3, 9, -10, 10, -4, -8],\n [10, -10, -5, -2, -1, 5],\n [-5, -9, -3, -7, -6, -4],\n [-9, -10, -10, 6, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, 3, 2],\n [-6, -10, -7, 10],\n [10, 8, 7, -6],\n [-2, -10, -6, 0],\n [-7, -2, 0, -7],\n [-1, -7, -2, 7]]\nB =\n[[-8, -7, 0, -7],\n [-1, -4, 10, -9],\n [-2, -9, -7, -7],\n [-8, -1, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -10, 7, -8],\n [5, 7, -8, 5, 4],\n [-1, 4, 3, -7, 1],\n [2, -4, -8, 9, -2],\n [-7, -10, -5, -4, 7],\n [3, -5, 2, -6, 10]]\nB =\n[[-3, 5, -2, -2, 3],\n [-10, 0, -6, 2, -3],\n [-3, 1, 0, 8, 4],\n [4, 1, 8, -4, 4],\n [-6, -7, -7, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-5, -1, 9, 8, -6, 2],\n [-5, 5, 2, 9, 10, 0],\n [-4, 9, -7, -6, 6, 4],\n [9, 2, 10, -3, 7, 5]]\nB =\n[[5, -1, -4, 6, -1, -4],\n [6, 8, 8, 2, -9, 0],\n [8, 1, 10, 3, 3, 0],\n [-8, 7, -5, -1, -1, -6],\n [-1, -3, 3, -8, -8, 0],\n [-1, -4, 6, -6, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 6, -8, -5, 6, -8],\n [-7, -3, 3, 9, -2, 5],\n [-7, -8, -3, -6, 8, 0],\n [8, -9, 9, -2, 2, -9],\n [0, -10, 7, -6, 10, -8]]\nB =\n[[8, -5, 6, 3, -3, -6],\n [-3, -6, -1, -4, -9, -8],\n [0, -4, 5, 6, 1, -5],\n [-8, -6, 3, -10, -2, -7],\n [7, 9, -1, 5, -8, -8],\n [0, -7, 4, 6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "796", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -4, 9],\n [-1, 2, 2, -1],\n [-2, 5, 8, 3],\n [-8, 1, 7, 1]]\nB =\n[[10, 1, 5, -3, -3, 1],\n [7, -4, 1, -9, -10, -4],\n [-3, 1, 10, 0, -3, -10],\n [8, -3, -3, 10, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, 2, -5, -7, 1],\n [2, 5, 2, 8, -3, 6],\n [0, 8, -7, -10, -8, 6],\n [9, 9, 1, 8, -6, -10],\n [-3, -10, 5, 6, -3, -7]]\nB =\n[[2, -3, 0, -1, 6, -5],\n [-2, 4, -2, 10, -7, 6],\n [-9, -4, 0, -9, 9, 3],\n [-1, 1, -6, 5, 5, -10],\n [10, 8, -3, -10, 9, 8],\n [5, -5, 4, -5, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 7, 6, 9],\n [2, 2, 9, 9],\n [10, -9, 10, -7],\n [8, -10, 5, 8]]\nB =\n[[-5, 7, -2, 4, 5, -3],\n [-10, 5, 7, 6, 8, 0],\n [6, -4, 5, -5, 9, -6],\n [1, 7, -5, 1, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, -3, -2, -10],\n [-7, 8, 8, 10, -3],\n [-1, 3, -2, 6, -9],\n [-4, -6, -9, 5, -3],\n [-4, -8, -8, -2, 2],\n [-1, 10, 10, -7, 8]]\nB =\n[[-3, -6, 8, -2],\n [6, -7, 5, 2],\n [7, -2, -6, 5],\n [8, 1, 2, -7],\n [2, 3, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -7, 10, 5, 8, -3],\n [-2, 1, 3, -9, 4, 4],\n [5, -1, -10, 3, 1, 4],\n [9, -5, 4, -10, 4, -1]]\nB =\n[[-5, 10, 0, -6],\n [-6, 9, 1, -8],\n [10, 1, -6, 1],\n [6, 5, 10, 5],\n [9, 1, 9, 2],\n [9, 6, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "864", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -10, -6, -10, 7, -9],\n [3, 8, 10, -7, -1, 9],\n [-3, -6, -2, 5, -4, 1],\n [-2, 9, 7, 9, -7, -10],\n [-8, 7, -5, 8, -2, 1]]\nB =\n[[8, -7, 2, -1],\n [6, -6, 9, 0],\n [9, 7, 5, -3],\n [5, 10, 10, -2],\n [8, 7, -1, 7],\n [6, 0, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 9, 0, -10],\n [0, 3, 10, 0, 9],\n [-3, -5, -7, -1, -10],\n [-2, -8, -8, -10, -5]]\nB =\n[[-2, -7, 7, -10],\n [6, 10, -6, -8],\n [-3, -7, -2, 5],\n [9, -10, -8, -10],\n [-1, -5, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-2, -10, -6, 0],\n [-3, 7, -6, 3],\n [3, 4, 1, 6],\n [-6, 5, 4, 5]]\nB =\n[[4, 1, -6, -6, -5],\n [-5, 10, 9, -3, -9],\n [4, -1, 0, 1, -8],\n [7, -2, 3, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-1, 4, -2, -3, 1],\n [-5, -2, -1, 6, -10],\n [-3, -2, -5, 8, -8],\n [0, -2, -10, 5, -4],\n [10, 4, -2, 2, -9]]\nB =\n[[5, -2, 3, -8, 1],\n [9, -7, 8, 6, 1],\n [7, -1, -1, -2, -10],\n [-9, -4, 3, -5, 6],\n [3, -8, 9, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 10, -8, -9, -9, -9],\n [5, 6, -2, 2, -10, -3],\n [8, 9, 0, 7, 10, 1],\n [4, 1, -10, 0, 5, -3]]\nB =\n[[10, 7, -9, 0, 4],\n [8, -3, -4, 10, 10],\n [-1, -4, -6, -1, 7],\n [6, -4, -10, 2, -6],\n [5, -3, 2, 0, 8],\n [-3, 3, -8, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, -9, 10],\n [9, 8, 6, -3],\n [3, -8, -6, -1],\n [-2, -9, -9, 5]]\nB =\n[[1, 6, -8, 1, -3, 10],\n [-5, 4, 0, 1, -8, -4],\n [6, -9, -7, 0, -8, 5],\n [7, -4, -3, 5, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-1, -4, -9, 1],\n [8, 9, 0, -3],\n [3, 4, 3, 2],\n [0, 4, 3, 4]]\nB =\n[[4, -6, 3, 8],\n [10, 7, 5, 10],\n [-5, -2, -7, 10],\n [-6, -9, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -10, -1, -3, -7],\n [-4, -10, -5, 2, 0],\n [-1, -6, 5, -9, -3],\n [4, 6, 2, 1, -3],\n [2, 9, -10, -3, 1]]\nB =\n[[-9, -4, -1, 4],\n [-3, 7, 10, -4],\n [-1, -8, 5, -1],\n [2, -5, 5, -5],\n [-3, -6, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "991", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 2, 0, 0, 2, -10],\n [-3, 10, 4, 8, 3, 8],\n [-2, -1, 2, 9, 4, 5],\n [-2, 8, -8, -6, 1, 6],\n [-4, -5, 1, 9, -1, 7],\n [4, 8, -8, 5, 3, 4]]\nB =\n[[-2, -5, 1, -1, 3, -4],\n [4, -9, 4, -8, 4, -2],\n [-7, -4, 3, -9, -6, -8],\n [-7, -10, 3, 5, 7, -4],\n [6, -7, 6, -1, 4, 4],\n [-2, 4, 1, -7, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 3, 4, -8, -1],\n [2, 2, 0, -2, -2],\n [6, -10, 4, 9, 1],\n [-6, -6, 6, -2, -9]]\nB =\n[[-4, 10, 9, -2, 8, -7],\n [-5, -3, -1, 7, 5, 8],\n [9, 0, -8, 4, -8, 0],\n [-7, 0, -6, 2, 7, -1],\n [4, 1, 7, 8, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1237", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -9, 8, -1, -2, 6],\n [-8, -1, -9, -9, 8, -8],\n [-6, -8, -8, 9, 10, 7],\n [-8, -10, 3, -1, 6, -2],\n [7, 2, 10, 3, -2, -7]]\nB =\n[[0, -6, -9, 10],\n [2, 2, 1, -10],\n [-4, 8, 10, -10],\n [-6, -4, -2, 3],\n [3, -1, -2, 8],\n [-6, -3, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 1, 6, 9, 1],\n [2, 9, -3, 2, 0],\n [-2, -3, 10, -9, 3],\n [-9, 5, -1, 8, -8]]\nB =\n[[6, -4, -4, -1],\n [-7, 10, -4, 8],\n [0, -6, 0, -5],\n [9, -4, -10, -4],\n [10, -3, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 9, -4, -4, -7, 0],\n [1, -5, 3, 8, 5, -10],\n [7, -2, -1, -3, 7, 7],\n [9, 10, 1, -9, -5, -9],\n [-1, -5, -4, 6, 0, 4]]\nB =\n[[8, 1, -6, -1, 6, 6],\n [-6, -5, -6, -4, -3, 10],\n [-8, -8, 1, 3, 8, -6],\n [0, -4, -10, 8, -9, 10],\n [-8, 7, -1, -10, -10, -10],\n [7, 9, 1, 4, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2064", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, 9, -10, -3],\n [-5, 10, 0, -3, 0],\n [-2, -4, 10, 0, 6],\n [-10, -6, -4, 4, 3]]\nB =\n[[10, 1, -5, -1, 8, -6],\n [2, 4, -1, -10, 4, 5],\n [5, 4, -3, -2, 3, 1],\n [-3, 2, 4, 5, -5, 6],\n [1, -2, -4, -6, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, 1, -9],\n [-7, 5, -3, 8],\n [9, 5, 0, 9],\n [-1, 1, 9, -5],\n [2, -2, -2, 4]]\nB =\n[[-6, 1, 7, 4],\n [-7, -3, -10, -10],\n [6, 6, 5, 3],\n [9, 6, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[0, 7, 6, -5, 0, 3],\n [-5, 9, -9, -6, 4, -9],\n [-4, 10, 5, 5, 3, -7],\n [-5, 4, 1, -6, 1, -8],\n [-8, 10, 6, 9, 4, 4],\n [0, 7, -8, 4, 5, -7]]\nB =\n[[-2, -10, 3, 10, 3],\n [-6, -7, -3, 0, 8],\n [9, 1, -7, 5, 10],\n [-4, -3, 3, -9, 0],\n [-3, -7, 7, 9, 0],\n [4, -3, -7, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-10, -5, 8, 1, 2],\n [1, 10, 5, 8, -2],\n [-5, 6, -2, 10, -7],\n [-1, -2, 3, -2, 8],\n [-5, 5, -1, 4, -4],\n [-7, 9, -6, 7, -4]]\nB =\n[[-7, 4, 0, -7],\n [3, 9, -1, 9],\n [8, -4, 0, 6],\n [9, -9, 7, -9],\n [2, 3, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, -2, 8, -4],\n [-4, 8, 4, 4, -1],\n [-5, -6, 5, 8, 7],\n [-7, -8, -4, -5, 8]]\nB =\n[[8, 5, -2, 6, 2, 8],\n [1, 0, 10, 4, -9, 7],\n [5, -10, -4, 1, -6, -10],\n [-5, 5, -7, 3, 1, 6],\n [5, 7, 4, 10, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 8, -2, 7],\n [-2, -10, -1, -7],\n [5, 0, 8, -4],\n [7, -2, 8, -3]]\nB =\n[[7, -10, 2, 3, 2, -5],\n [9, 6, -4, -4, 4, 6],\n [10, 8, -6, -1, 3, -9],\n [1, -3, 6, 4, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1019", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -3, -9, 6, -10, -3],\n [3, -7, 3, 5, -7, 4],\n [-7, -1, 4, -3, -2, -10],\n [-8, 9, -1, 10, -10, -1],\n [-9, -5, -7, -7, 4, -5],\n [-8, 6, -4, -2, 9, -9]]\nB =\n[[5, 7, -8, 5, -7],\n [1, 2, -5, -1, 9],\n [-3, -3, -8, -8, -6],\n [10, 3, -4, 2, 10],\n [7, -9, -3, -1, -2],\n [-1, 0, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1915", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -9, -4, 0],\n [6, -8, 5, -6],\n [6, -8, -5, -2],\n [-7, -9, 0, 3]]\nB =\n[[-1, 8, 4, 9],\n [2, -4, -5, 4],\n [-6, -9, 8, 6],\n [4, 0, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "647", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -6, 1, -5],\n [-7, -5, -9, 5, 3],\n [3, -9, -6, -10, 4],\n [-8, -1, -2, 2, -5],\n [4, 0, -2, -1, -5]]\nB =\n[[10, 4, -4, -4, 2],\n [9, 5, -5, -4, 8],\n [1, -3, 7, 2, -6],\n [-4, -10, 1, -2, -8],\n [2, -3, -5, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 7, 10, -1],\n [4, -10, 10, 3],\n [8, 4, 8, 0],\n [-10, -4, 6, 1]]\nB =\n[[-2, 0, 1, -9, -1, 2],\n [0, 9, 7, 7, 9, -4],\n [-7, 9, 2, 4, 2, -8],\n [-1, 10, -4, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -10, -2, -9, 2],\n [-8, 9, -10, 7, 9],\n [-4, 8, -1, -9, -10],\n [-7, -5, 0, 2, 8]]\nB =\n[[-5, 8, 3, 10],\n [-8, 5, 1, -8],\n [-8, -8, -10, -2],\n [-6, -8, -6, -10],\n [8, -2, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-3, 3, -9, 3, -6],\n [8, 5, 2, 7, -6],\n [-9, 8, 4, 3, 4],\n [-3, -5, -7, -8, 5]]\nB =\n[[8, 7, -7, 3],\n [-8, -5, 10, 3],\n [-10, 5, -6, -2],\n [-10, -6, 8, 5],\n [2, 0, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -3, -3, -8, -1],\n [8, 0, -4, 5, -9],\n [-7, 4, 1, 4, -3],\n [-3, -9, 5, 2, -7],\n [5, -3, 10, 9, 7],\n [-5, 10, 0, 5, 0]]\nB =\n[[4, -3, 7, -8, 8],\n [-8, -2, 1, 7, -6],\n [-7, -10, 6, -10, -1],\n [7, -7, -3, 8, -1],\n [-6, -5, 3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-10, 6, -10, -9, -9],\n [-10, -10, 3, 6, 1],\n [4, 4, 4, 8, 5],\n [5, 1, 8, 8, 4],\n [-2, -6, 3, -3, -10]]\nB =\n[[-10, 10, -8, -7],\n [-6, -8, 7, 4],\n [-8, 9, 8, 8],\n [-6, 9, 5, -6],\n [-3, -7, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 0, -9, -10, 0],\n [6, -10, 3, -9, -7],\n [-10, -2, -3, 10, 8],\n [0, -2, 10, 4, -1],\n [-3, -8, 7, 4, 2]]\nB =\n[[4, 6, -3, 10],\n [-4, 0, -2, 1],\n [-1, -4, -2, 0],\n [8, -1, 1, 5],\n [-9, 6, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-10, -6, -4, 5, 3, -8],\n [7, -9, -8, -1, -5, 3],\n [-3, -7, 5, -2, -7, -3],\n [10, -6, -9, -6, 7, 6]]\nB =\n[[-9, 5, 7, -8],\n [-2, -7, -7, -9],\n [5, -4, 2, 5],\n [0, 0, -4, -8],\n [-10, 5, 3, -6],\n [-7, -8, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 9, 2, 3],\n [8, -8, 1, -3],\n [7, 5, 4, 9],\n [3, 0, -4, 1]]\nB =\n[[6, 3, 6, 10, 1],\n [1, 4, 4, -1, 2],\n [0, 3, -1, -6, 4],\n [5, -2, 9, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, -5, 7, -6],\n [6, 8, 9, 7],\n [9, -2, -7, -8],\n [6, -10, -6, 6],\n [-6, 9, -6, 10]]\nB =\n[[-4, -4, 7, -9, -1, -10],\n [-8, 1, 10, -1, 1, -1],\n [7, -8, -7, -7, 6, -3],\n [-9, -3, -1, 8, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 4, 4, 0, 4, 10],\n [2, 5, 0, 3, 1, -3],\n [-1, -8, 10, 7, -7, -10],\n [-5, -6, 0, 8, 3, -6],\n [-1, 8, -10, 4, 2, -9],\n [7, 6, 7, -6, -3, -4]]\nB =\n[[-4, -6, -9, 2, 5, 7],\n [-6, 7, -2, 9, -2, 10],\n [-8, -1, -8, 4, 3, -1],\n [-4, 1, 10, -7, -4, 4],\n [-4, -1, -5, 5, 6, -2],\n [7, 5, 9, 4, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-788", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 4, 6, -2, 8],\n [-3, 8, 4, 3, 8],\n [9, 2, 5, 8, -10],\n [10, -9, 10, -7, -1]]\nB =\n[[-9, -2, 3, 5],\n [-1, -10, 4, 6],\n [10, 1, 0, -9],\n [-10, 9, -7, -10],\n [2, -1, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "941", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[1, 9, -3, -5, -1],\n [-2, 1, -1, 4, 2],\n [8, -10, -1, -10, -4],\n [-3, -1, -9, -3, 5],\n [-8, 4, 7, 8, 3]]\nB =\n[[4, 5, -3, 5],\n [-1, 10, 10, -4],\n [5, 4, 10, -3],\n [10, -4, -3, -1],\n [-8, -7, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 8, 9, -8, 4, 3],\n [7, 7, -6, -8, -10, -1],\n [-6, -10, -5, 6, 7, -3],\n [-2, 0, -10, 8, 8, 3],\n [4, 8, 3, 0, 5, 4]]\nB =\n[[-10, -1, 9, 7, -4, 2],\n [-3, -3, 1, -2, 10, -5],\n [-10, 10, -3, 0, -7, -9],\n [8, -6, 2, 9, -1, 4],\n [10, 7, 5, 1, -7, 0],\n [1, 10, 10, 1, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -7, 9, -3, 2, -5],\n [-10, 3, 4, 0, 0, -2],\n [-10, -3, 1, -6, -1, 0],\n [7, -4, -6, -10, -5, -4]]\nB =\n[[4, -9, 2, 10],\n [-4, 2, 2, 8],\n [5, -3, -2, 3],\n [7, 1, 6, 0],\n [-10, 7, -2, -7],\n [-9, -10, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 1, 2, -9, -5, 7],\n [6, -10, 7, 2, 0, 0],\n [8, 7, -7, -7, -4, 5],\n [3, 8, -8, -2, -9, 5]]\nB =\n[[8, -7, 4, 8],\n [-8, -7, 4, -5],\n [-3, 1, -7, 6],\n [8, -7, 2, 0],\n [0, 1, 3, 1],\n [-10, 4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, 7, 2, -4, -7],\n [-9, -4, -1, -7, -2],\n [5, -8, 0, 4, 9],\n [-4, -5, 10, -7, -1],\n [0, 5, 10, 9, -8]]\nB =\n[[7, 3, -9, 3],\n [6, -3, 9, 5],\n [3, 6, -9, -2],\n [-3, 9, 4, -9],\n [9, -3, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 9, -6, 9],\n [6, 8, 2, 7],\n [0, 7, 9, 6],\n [-4, 5, 3, -9],\n [5, 0, 6, -1],\n [-2, -1, 4, 2]]\nB =\n[[-1, -4, 5, -10],\n [-10, 0, -10, 10],\n [-6, -10, -10, -2],\n [0, 2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 10, 1, -1],\n [-1, -9, -4, 0],\n [0, -8, 1, 9],\n [5, -2, -10, -6],\n [9, 6, 2, 8]]\nB =\n[[-2, 10, 2, 9, -10, 2],\n [-4, -8, -5, 9, 8, 0],\n [9, -5, 2, 10, 8, -9],\n [2, -10, -8, 4, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, 3, -6],\n [3, -3, -4, 8],\n [10, 4, 9, -2],\n [-10, 2, -1, 2]]\nB =\n[[6, 7, 5, -5],\n [1, 4, 3, 5],\n [5, 3, -4, 1],\n [1, 10, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, -4, -2, 10, -2],\n [-10, 5, -7, -9, -9, 8],\n [8, -1, -3, 2, -9, 4],\n [7, 5, 9, 4, 8, 1],\n [-3, 9, 7, 6, 6, -5]]\nB =\n[[3, 0, 0, -6, -2],\n [6, -8, 4, 2, 8],\n [2, -5, 4, 0, 9],\n [5, 8, -8, 5, -6],\n [-3, -6, 5, 2, -9],\n [8, 7, 10, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 10, 3, -6, 10],\n [9, 7, 10, 1, 9],\n [-8, -6, 3, -7, 1],\n [0, -4, 7, -3, -4]]\nB =\n[[10, -3, 4, -4, 6, 0],\n [2, 10, -3, -6, -6, -4],\n [7, -3, 3, -8, 2, -10],\n [-6, 2, -4, 6, -2, -2],\n [6, 3, -6, -9, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1787", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-3, 8, -8, 4, -3, 4],\n [-4, -7, 2, 8, -8, -8],\n [-6, 4, 3, 7, -1, -6],\n [-2, -1, -4, 2, -5, -3],\n [-7, -4, -10, 3, 7, 10]]\nB =\n[[8, 1, 4, -6, 5],\n [7, 7, 2, 4, 0],\n [-4, 10, 3, -10, -5],\n [5, 1, 6, -9, 8],\n [5, 4, 7, 5, 10],\n [-8, -4, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 6) of the product of the following matrices:\nA =\n[[-4, 8, -9, -5],\n [-1, 8, 5, -7],\n [3, -9, 8, -1],\n [2, -9, 0, -2],\n [-3, 5, -2, -6],\n [4, -3, -3, 8]]\nB =\n[[-8, -4, 3, 6, -3, 10],\n [-9, -10, 10, -5, -5, 10],\n [-4, 3, 3, 7, 7, 1],\n [3, 7, 2, 2, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[-2, 9, 8, -3],\n [-6, -5, 10, -5],\n [-5, -3, 9, -3],\n [-10, -8, -6, 0],\n [-8, 3, -6, 1],\n [-2, -2, -1, 8]]\nB =\n[[-6, -10, 1, 6, -10, -4],\n [-8, 10, 9, 8, 7, 2],\n [-10, -7, 8, -2, -6, 1],\n [10, -6, 0, 9, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, 5, -1, 8, 4],\n [-5, 6, 7, -10, 8, 7],\n [-10, -2, 8, 7, 1, 1],\n [5, -3, 10, 0, 2, -9]]\nB =\n[[2, 3, -2, 0, 5, 3],\n [-9, 8, 10, 1, 2, 5],\n [2, 6, 7, 3, -1, -3],\n [3, -5, 7, -5, 8, 5],\n [-7, 3, 4, -7, -4, -8],\n [9, 7, -4, -6, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1423", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 4, 1, -3, -6],\n [-1, -2, -3, 6, 1],\n [10, -10, 6, -6, -8],\n [2, -3, 5, 5, -3]]\nB =\n[[7, 3, -3, -10, 2],\n [9, -2, 8, -9, 3],\n [-7, -2, -5, -2, 2],\n [2, -9, 2, -10, 1],\n [-4, 4, 2, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-8, -7, -10, -3, -6, -10],\n [10, 7, -6, -7, -4, -3],\n [-10, -1, 1, 7, 5, -2],\n [4, -4, -8, 9, -5, 6],\n [2, 7, -10, 10, -4, 7],\n [10, -10, 3, -5, 4, 10]]\nB =\n[[-9, 10, -5, 8, 6],\n [-6, 7, 6, 10, 1],\n [5, -5, 1, 2, -2],\n [9, 8, -2, -1, 0],\n [2, -5, -10, -1, 9],\n [7, -5, -7, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-4, -9, 3, 1, 10, -10],\n [-8, 7, 10, -7, -9, 9],\n [4, 1, 2, 1, -3, 2],\n [0, 9, 3, -7, 9, -1],\n [4, -8, 6, 0, 3, -8]]\nB =\n[[6, 10, 2, 0, 0, 7],\n [-10, -9, 2, 9, 1, -9],\n [3, -2, -3, 0, 5, 5],\n [2, -5, 0, -1, 2, -9],\n [0, 9, -3, 7, 3, 0],\n [1, 1, -7, 6, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-7, 6, -6, -10, 8],\n [0, -7, -3, 4, 0],\n [2, -1, 10, 7, -7],\n [1, -1, -8, 4, -5]]\nB =\n[[2, -6, 10, 4, 2, 2],\n [-4, -6, -9, -7, -2, 10],\n [7, -5, 7, -1, 3, -6],\n [6, 5, -9, 8, 10, -10],\n [-8, 0, -2, -3, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, -9, -8],\n [-2, -3, 7, -8],\n [-6, 5, 9, 9],\n [6, -5, 10, -3],\n [-1, -8, -7, -3]]\nB =\n[[-10, -6, -5, -10],\n [-5, -5, -10, 10],\n [2, -8, 3, 0],\n [8, -6, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -3, 0, -5, 9, -9],\n [-10, 3, 1, 3, -2, -1],\n [1, -9, 8, -3, -1, 8],\n [-8, 10, 3, -4, -9, -1],\n [4, -10, -1, -6, 2, 8]]\nB =\n[[-5, 9, -7, 5],\n [-8, 1, 3, -8],\n [-3, -1, -10, 4],\n [-8, 5, -10, 7],\n [-2, 2, -1, 5],\n [-10, -4, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -1, 4, -3],\n [-5, -6, 5, -10, -6],\n [4, 2, -10, -5, 6],\n [-7, 7, -2, 6, 0],\n [-2, -4, 10, -4, 7],\n [9, 6, -7, 8, -9]]\nB =\n[[3, 2, -8, 7, -8, -3],\n [-7, 1, -1, 4, -8, -2],\n [5, 0, -3, 0, -4, 4],\n [8, -10, 6, 0, 2, -3],\n [10, -1, 6, -8, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[5, 0, 8, 0],\n [-7, -10, 6, -3],\n [7, 5, -7, -2],\n [-1, 2, 5, 8],\n [-8, 3, 4, 9]]\nB =\n[[-3, 5, -8, -1],\n [-4, -7, 3, 10],\n [-5, 6, -2, -1],\n [10, 7, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, 1, -1, -5],\n [10, 1, 1, 9, 7],\n [-7, 5, 9, 6, -4],\n [9, -6, -3, -6, -10],\n [-8, -4, -6, -4, 6]]\nB =\n[[10, -6, -7, -3, 3, -6],\n [2, -5, 3, -3, -5, -3],\n [-5, 9, -10, -10, 9, 9],\n [9, 9, -7, 3, 8, -6],\n [4, 7, 6, 0, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-7, 1, 4, 9, 10, -8],\n [1, 3, -5, 2, 2, -7],\n [-1, -6, -1, -9, 7, 7],\n [-9, 9, -4, 4, 7, 1]]\nB =\n[[-9, 8, -10, 8],\n [-1, 2, 1, -8],\n [10, 4, -7, 8],\n [-6, -2, 10, 2],\n [-2, 2, -9, -5],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[-6, 5, -9, 9, 10, -10],\n [-4, 2, -10, -7, -1, 1],\n [-10, 0, 9, 8, 1, 3],\n [8, 6, -2, 3, 7, -2],\n [10, 10, 2, 2, -3, 3]]\nB =\n[[4, 9, -4, -5, 10, 7],\n [8, 5, -10, -4, 9, 1],\n [-4, 10, -8, 8, 9, 9],\n [7, 6, 8, -2, 8, 4],\n [-9, -1, -4, -9, 1, -4],\n [-7, -2, 1, 6, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -6, 5, -8, -9, -6],\n [1, -5, -8, -7, -4, -9],\n [-6, 4, 5, 6, 4, -9],\n [0, 2, -4, 1, 2, -9],\n [-2, -3, -6, 10, 10, 6]]\nB =\n[[-1, 7, -8, 6],\n [-6, 6, 9, -6],\n [-5, -5, 10, 3],\n [-5, 2, -6, 8],\n [-6, 9, 5, 0],\n [0, -3, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-8, 10, 8, 0, -1, -2],\n [9, -9, -9, 9, -10, -9],\n [-5, 4, 5, 5, -2, 9],\n [9, -4, 7, -4, 5, -2],\n [7, -8, 0, -2, -5, 1],\n [-4, 6, 2, -10, 4, -10]]\nB =\n[[8, 8, -2, -7, -3],\n [-1, 4, -7, 8, 3],\n [9, -3, 1, 0, 3],\n [-9, -7, 4, 8, 2],\n [-8, -10, -8, 0, -9],\n [3, -3, 8, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[5, -5, -10, -2],\n [-7, -2, -4, 6],\n [-4, -4, 0, 4],\n [-3, 6, -10, -6]]\nB =\n[[-8, 4, -6, -5],\n [-6, -8, -3, 9],\n [5, -9, 2, 0],\n [-10, 2, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, 4, 5],\n [-2, -2, 1, 2],\n [10, 6, 6, 9],\n [1, 1, 8, -5],\n [4, 4, -1, 5]]\nB =\n[[-5, 10, -6, 8, 9],\n [-1, 1, 7, 3, -5],\n [-6, -1, 6, -3, 5],\n [-4, 8, 3, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, 5, 5],\n [5, 4, 1, 5],\n [3, -5, 0, 0],\n [-5, -8, -10, -4],\n [1, -10, -1, 6]]\nB =\n[[-7, 5, -7, 1, 9, -2],\n [-4, 8, -5, 0, -1, 4],\n [-6, -7, 8, 0, -2, 10],\n [-5, -10, -4, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[0, -9, -4, -10],\n [1, -7, -2, 0],\n [7, 9, -6, 6],\n [8, 10, -8, 10],\n [8, 4, 9, 3]]\nB =\n[[9, 5, 7, -7, 10],\n [6, -6, 8, -3, 4],\n [-5, 1, -3, 7, 1],\n [4, 0, -9, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, -10, -3, 10, -8],\n [-9, 5, 2, -7, 2, 0],\n [9, 5, -10, 1, -1, -9],\n [-6, -10, 2, 7, -6, -7],\n [-4, -7, 8, -2, -8, -6]]\nB =\n[[-3, 2, -2, -7, 9, 2],\n [-6, 2, -2, 7, 3, -4],\n [8, 3, 0, 6, 0, -4],\n [6, 4, -8, 8, -3, -6],\n [5, 3, 6, 3, -9, -9],\n [-8, 7, -7, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -10, -5, 4],\n [2, 9, -3, 1],\n [3, -1, -4, -7],\n [-2, 8, 10, -7],\n [-3, 10, -7, 7],\n [10, -1, -2, -5]]\nB =\n[[-8, 9, 5, -7, -10, 0],\n [5, -6, 7, -6, -4, 9],\n [-9, 7, 4, -5, 1, 10],\n [-10, -1, 8, -10, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 7, 8, -3, 3, 1],\n [-5, -10, 9, -3, -6, 3],\n [1, 10, -5, -5, 1, -1],\n [8, -10, 3, -10, -4, -7]]\nB =\n[[-7, 10, 10, -1],\n [-10, 6, -8, -7],\n [-5, 10, 4, -6],\n [-3, -6, 2, -3],\n [2, -1, 6, 10],\n [-3, 10, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -5, -6, -7, 3],\n [7, -5, 6, 5, 2],\n [-2, -3, -8, 5, -3],\n [-1, 9, -6, 3, 1],\n [-4, 2, 1, -6, 10]]\nB =\n[[-4, 1, -1, -4, 4, 5],\n [-9, 9, 0, -8, -6, 2],\n [-1, 0, 2, 5, 9, 8],\n [-7, -5, 3, 4, 2, 0],\n [-1, -1, 5, 3, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, -10, 4, -9, 1],\n [-1, -6, 7, -1, -6, -9],\n [-7, 6, 1, 0, 9, -3],\n [-10, -6, -1, 9, -3, 4],\n [1, -7, -2, -2, 3, -4],\n [-5, -8, 7, -7, 6, 0]]\nB =\n[[-10, -6, 1, -8],\n [-1, 5, -2, -7],\n [1, -7, 4, 6],\n [-4, -7, 9, -8],\n [-2, 8, 2, 9],\n [-10, -3, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "864", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -8, -1, 7, 6, -6],\n [-8, 0, 8, -9, 0, 8],\n [1, 9, -8, -7, 9, 6],\n [-7, 10, 4, 5, -4, -4]]\nB =\n[[-5, 1, 3, -7],\n [-4, -7, -5, 10],\n [9, -8, -6, -6],\n [-10, 2, 7, 7],\n [-5, -5, -9, -8],\n [3, 0, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1540", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, -2, 2, 7, -3],\n [5, -5, -10, -9, -3, 6],\n [4, 0, 2, -10, -2, 5],\n [4, 4, -6, -9, 9, 5],\n [-6, -10, -2, 2, 3, -9],\n [-5, -9, -10, -10, 7, -6]]\nB =\n[[-3, 0, -3, -8, 9],\n [9, -8, 2, 9, -8],\n [5, -2, 0, 9, -8],\n [1, 4, -1, -9, 3],\n [-9, -9, -7, 5, -1],\n [-8, 10, -7, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-570", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 4, 5, 7, -2],\n [-3, 8, -8, -1, 7],\n [-9, -9, 0, 10, -8],\n [-5, -8, -9, -4, 5]]\nB =\n[[-1, -8, 0, 5],\n [9, 10, 8, 0],\n [10, 4, -1, 8],\n [-8, 9, -2, -6],\n [4, -3, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 7, -10, 0, 0],\n [0, 9, -8, 2, 10],\n [-7, -10, -8, -8, -2],\n [-10, 3, 8, -10, 8],\n [5, 6, -6, -2, 6]]\nB =\n[[4, -4, -6, -3, -5, 8],\n [8, -2, -2, 3, 10, 4],\n [-5, 0, -4, -8, 0, -6],\n [8, 4, 0, 10, -10, -10],\n [2, -4, 0, -7, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -10, -4, 9, -7, 6],\n [1, 2, -3, -6, 8, -8],\n [-9, 0, -6, 1, -8, -4],\n [5, 9, 6, -4, 6, 5],\n [10, 6, 8, -10, -9, 4],\n [-3, -8, 2, 6, 4, -3]]\nB =\n[[-5, -6, 9, -10],\n [-7, 0, 2, -4],\n [-6, 6, -1, -2],\n [-1, -9, 5, 1],\n [3, 4, 4, 2],\n [5, -7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, 5, -9, 3, -1],\n [-6, -8, 10, -4, 8, -7],\n [-8, -4, 4, -9, -10, -10],\n [7, -10, -3, 10, -9, 6],\n [7, 8, 3, 0, -8, 10]]\nB =\n[[-2, -9, -8, 3, -7],\n [-3, -4, 4, 7, 5],\n [-4, 3, 0, 8, -5],\n [-7, 1, -1, 9, -3],\n [9, 6, -10, 1, -3],\n [-1, -5, 10, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[10, -8, 8, -6, -3],\n [7, 2, -4, 2, 2],\n [-2, -2, -1, 6, 6],\n [-3, 6, -4, -3, 7],\n [10, 0, 8, -2, -8],\n [6, 2, 3, -6, 4]]\nB =\n[[-3, -8, -1, -7],\n [7, 1, 9, -3],\n [-1, 2, 7, -5],\n [-10, 3, 3, -2],\n [-1, 0, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -6, 9, -9],\n [-9, 9, -10, -5],\n [1, -4, 4, 3],\n [2, -2, 8, 4],\n [7, 0, 9, 10]]\nB =\n[[-7, 1, -4, -8, -3, -8],\n [-1, -10, 9, -4, -5, 1],\n [-5, -5, 9, -9, -9, -6],\n [10, 10, 8, 9, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1754", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, -2, 4],\n [1, 9, 5, -10],\n [-5, 7, -5, -2],\n [5, -6, 7, 2]]\nB =\n[[6, 10, 10, -4, -9, 0],\n [7, -4, -3, -6, 6, -6],\n [-2, 6, -1, -5, -9, -7],\n [10, 5, -1, -3, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 3, 1, 6, -7],\n [8, -4, -6, -2, -8],\n [-1, 5, 9, 3, -3],\n [-1, 3, 4, 0, -8],\n [9, 6, 9, -10, 1]]\nB =\n[[4, 3, -7, -6, 9],\n [-2, -6, 8, -3, -4],\n [6, -1, 8, -5, 0],\n [4, 8, -6, 0, 6],\n [1, 9, 1, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -5, 7, 4],\n [8, 4, 1, -7],\n [-10, -1, -3, -8],\n [-10, 9, -8, 9],\n [-1, -1, 1, 8],\n [1, -2, -5, 10]]\nB =\n[[5, -7, -2, 10, -4],\n [-9, -3, -6, -3, -7],\n [6, 7, 4, -4, -9],\n [2, 0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 5, 6, 0, 1],\n [-10, 4, 6, -5, -9],\n [-8, 3, 0, 4, 6],\n [4, 5, -4, -2, 6],\n [4, 10, -9, 6, 6]]\nB =\n[[-7, -9, 3, -9, 1, 5],\n [9, -1, 7, -4, 3, 3],\n [10, -4, 6, 7, 2, -1],\n [7, -5, -3, -4, -6, 4],\n [1, -8, 4, -6, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1872", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -9, 6, 6, 3, -9],\n [-7, 0, 10, -1, 8, 3],\n [-3, 2, -4, 9, -9, -9],\n [7, -7, 3, 7, 4, -9],\n [4, 7, -6, 1, -1, 2],\n [7, 4, -1, -8, -1, 2]]\nB =\n[[-3, -5, -5, 5, 2],\n [-1, 0, 7, 7, 5],\n [-2, 0, -1, -10, -4],\n [10, 6, -7, -10, -4],\n [-4, -7, 9, -2, 6],\n [-4, 6, 4, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[6, -3, 10, -2, -8],\n [-2, 9, 8, -8, 9],\n [10, 5, -1, 7, -2],\n [4, -1, -6, -6, 0],\n [7, -2, -3, 2, -4]]\nB =\n[[1, 5, -6, -1],\n [10, 1, 0, 2],\n [5, 4, 7, 0],\n [-4, 0, -2, 6],\n [-6, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, 4, -3],\n [3, 1, -4, 5],\n [3, -9, -3, 0],\n [10, 5, 4, 8]]\nB =\n[[9, -7, -7, 0],\n [9, 0, -1, 9],\n [10, 6, -6, 4],\n [-1, 4, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[10, 7, 2, 0],\n [9, -4, -5, -6],\n [-2, -10, 3, 6],\n [-7, -9, -1, 6]]\nB =\n[[10, -9, 9, 2],\n [-7, 3, 7, -4],\n [0, 6, 1, -9],\n [7, 2, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -8, 2, -1],\n [-8, -8, 8, -9],\n [-1, 8, -4, -7],\n [10, -9, 4, 2],\n [4, 7, 2, 4]]\nB =\n[[-4, 9, -3, 10],\n [8, -3, -6, 4],\n [4, 9, -3, -3],\n [5, -2, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, -2, 5],\n [-10, -4, 10, 6],\n [5, 4, 9, -8],\n [5, -6, -4, -3],\n [-8, -3, 3, 3]]\nB =\n[[10, 5, -7, -7, -9],\n [-8, 5, 8, 5, 7],\n [2, -4, 2, -9, -7],\n [9, 3, -10, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1053", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[8, -5, -1, 10, 4],\n [8, 3, 3, -1, -1],\n [2, 4, -2, 3, 6],\n [7, -5, -3, -7, 3],\n [-2, 3, 10, 9, 6],\n [4, -5, 2, -9, -7]]\nB =\n[[-8, -2, -7, 10],\n [-5, 6, -10, 3],\n [-8, 5, -2, 10],\n [-7, -8, 1, -8],\n [-10, 5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 4, 1, -7, 6, -3],\n [-4, -3, 2, -5, 6, 4],\n [-8, 9, 7, -5, 6, 6],\n [-5, -9, 7, 0, -1, 8],\n [-8, 9, -6, 5, 3, 6],\n [1, 2, 5, 5, 2, 6]]\nB =\n[[-8, 8, -2, -7, 7],\n [2, -1, -3, 3, -10],\n [3, -6, 10, -3, -2],\n [-3, 10, 1, -7, 10],\n [-3, 3, -10, 8, 5],\n [10, 0, -1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -1, 0, -8, 6],\n [0, 5, 3, 8, 0],\n [3, 7, -4, 1, 9],\n [3, -9, 8, 3, -2],\n [0, -4, -7, -8, -8],\n [-9, -9, -8, -8, 0]]\nB =\n[[4, -6, -7, 10, 9, -1],\n [-6, -9, -10, 2, -1, 9],\n [3, -2, 4, 0, -3, -6],\n [-3, 2, -10, -3, 10, 8],\n [4, 10, 9, 4, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 9, -1, 8, 6, 4],\n [-8, 1, 2, -9, 7, -2],\n [-10, 3, 7, -3, -5, 6],\n [10, -9, -1, 9, -10, -6]]\nB =\n[[0, -2, 10, 8],\n [-7, -10, -4, 6],\n [-6, 2, -6, -4],\n [-4, 0, 2, -7],\n [6, -9, -8, -5],\n [10, -2, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1357", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-5, 3, 4, -8, -3],\n [2, 5, -1, -10, -10],\n [6, 3, -2, -9, 8],\n [9, 0, -4, 6, 7],\n [0, 3, -2, -4, -1]]\nB =\n[[-1, 9, 2, 10],\n [5, -10, 3, 3],\n [-7, -6, -2, 3],\n [2, -3, -3, -8],\n [-1, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -6, 7, 3, -10],\n [-6, 10, 8, 1, 1],\n [-7, 0, -5, 3, 0],\n [-10, -3, 5, -10, -7],\n [4, 8, 5, 0, 8],\n [-6, -3, -8, 3, 2]]\nB =\n[[-10, -4, -10, -6],\n [8, -9, -5, -2],\n [2, 5, -1, 3],\n [-2, -7, 3, -2],\n [7, 2, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-10, 5, -9, -9, 8],\n [-5, 0, -6, -10, 2],\n [10, -6, 1, -10, -5],\n [-8, -10, 1, -9, -3],\n [-9, -4, 0, 10, -4],\n [-8, -8, 7, -6, 8]]\nB =\n[[-2, 5, 10, 3, 1],\n [-7, -10, -6, 5, 10],\n [-8, -8, -8, 1, -4],\n [-8, 10, -4, 6, 1],\n [10, -3, 6, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 10, 8, -10],\n [-6, -10, -7, -7],\n [0, -7, -5, -5],\n [-8, 9, 4, -9]]\nB =\n[[6, 10, 10, 8],\n [8, -9, 9, -8],\n [8, 6, -4, 5],\n [6, -7, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-745", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 1, -1, -5, -9],\n [3, -1, 7, -3, 2, -3],\n [2, 0, -4, 8, 4, 4],\n [-2, 8, -6, 2, -1, 5]]\nB =\n[[-5, 4, 2, -10, 8, 8],\n [7, -8, -10, -8, 0, 2],\n [10, 6, -4, 5, 9, 4],\n [-9, 9, 0, 8, -6, 4],\n [8, -10, 1, -4, 2, 0],\n [0, -9, -3, 6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 0, -10, -7, 1],\n [-3, 6, -6, -5, 9],\n [-2, 6, 5, -3, 8],\n [1, 3, 4, 2, 3],\n [-10, 2, -9, -3, -1]]\nB =\n[[-2, -10, -4, 1],\n [10, -7, -8, 3],\n [-9, 7, 1, 6],\n [-6, -9, -8, 6],\n [4, -8, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -5, 10, 9],\n [7, 10, 0, -9],\n [-5, -6, 4, 5],\n [-10, 10, 2, 9],\n [9, -3, 4, -10]]\nB =\n[[10, -5, -4, -6, 4],\n [3, -7, 7, -2, 6],\n [-5, 9, 0, 9, -6],\n [-10, -4, -10, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 3, 7],\n [7, 7, 10, -9],\n [-10, -5, -4, 1],\n [-10, -4, 5, 3],\n [0, 8, -1, 2],\n [7, -7, -3, 7]]\nB =\n[[-10, -1, 7, -5],\n [-3, -1, -5, -5],\n [7, 6, 8, 9],\n [-1, -7, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 6, 3, 5, 0, 8],\n [-5, 5, -10, 9, 2, 2],\n [3, 9, -7, 5, 6, -10],\n [1, -9, 8, 6, -1, 7],\n [-9, -9, 2, -7, -4, 1],\n [-6, -5, 5, -5, -5, -6]]\nB =\n[[-5, 5, 6, -4, 7],\n [-2, 10, -3, -5, -1],\n [2, 6, 10, 4, -2],\n [7, 0, -8, -6, 2],\n [10, 7, -3, -5, 1],\n [-7, -10, -4, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 0, -7, -3, -6],\n [4, 5, 9, 9, 6],\n [3, -9, -3, -10, -8],\n [-9, -8, 9, 10, 1],\n [5, 1, -6, -1, 3],\n [7, 10, 4, 8, -5]]\nB =\n[[-2, -10, -8, -5, -6],\n [-9, -9, 3, -1, -10],\n [10, 6, 3, -5, 8],\n [-10, -8, 2, 6, -6],\n [0, 3, -3, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-507", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 8, 2, -6],\n [5, 1, -3, -5],\n [2, -5, 2, 9],\n [-10, 3, -10, 3],\n [9, 0, 4, 2],\n [7, -1, 0, 4]]\nB =\n[[-2, 3, 4, -7, 10, 3],\n [-4, 9, 9, 8, 0, -10],\n [-3, 7, -8, 5, -5, 9],\n [7, 8, -8, 10, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 10, 5, -8, 5],\n [-8, 4, -10, 8, -10],\n [-1, 7, -4, -8, -2],\n [4, 10, 9, -9, 9]]\nB =\n[[4, 4, -7, 6, 4, -5],\n [-3, -1, 9, -10, -4, 0],\n [8, 3, -9, 0, -5, -10],\n [10, 0, -4, -6, 7, 1],\n [1, -4, 5, 10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 0, -6, 4],\n [10, 0, -6, -3],\n [-8, 9, 9, -10],\n [-9, -10, 2, 3],\n [-8, 8, 1, 4],\n [-3, -4, -9, -9]]\nB =\n[[-7, 8, 1, -9, -9, 5],\n [-2, -1, -3, 2, -7, -1],\n [7, -10, 7, 7, 10, -8],\n [-9, -2, 0, -5, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 8, -1, 7, 6],\n [-1, -10, -9, 7, 7],\n [-1, 8, -9, -5, -10],\n [-9, 6, -7, 4, 9]]\nB =\n[[1, -3, -4, 0, -2, -10],\n [3, 8, -3, -1, 2, 2],\n [-3, -4, -3, 7, -1, 9],\n [-10, -9, -9, -7, 3, -3],\n [5, -5, 10, -6, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 6, -8, 1, -10, -2],\n [-3, -2, 10, -5, 5, -6],\n [-3, -5, -1, 4, -10, 5],\n [3, -4, 7, 1, -9, 2],\n [10, -4, 3, 4, 2, 0],\n [5, -5, -4, 5, -8, -9]]\nB =\n[[0, 4, -9, 7, 1, 5],\n [-6, -5, 8, -3, -1, 8],\n [4, 9, 8, -2, 0, 6],\n [0, -5, -4, 8, 2, -9],\n [4, 5, 7, -2, -7, 9],\n [10, 5, -7, 9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-479", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 2, 7, 2, -9, -2],\n [2, 3, 0, -5, 2, -1],\n [3, 2, 10, -9, -7, -6],\n [-5, -9, -6, -4, 1, 7],\n [0, 4, -6, 0, -7, -2]]\nB =\n[[2, 4, -5, -3, -1],\n [0, -3, -3, 10, -9],\n [8, -10, -1, 1, 9],\n [-10, 4, -9, -8, 6],\n [5, -8, 5, -10, 8],\n [3, -8, 6, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, -1, -5, 0, -9],\n [7, 6, -5, 1, -5, 1],\n [-3, -5, 4, 3, -1, -4],\n [-3, -10, -5, 4, -5, 4],\n [5, 7, -6, 6, -1, 3],\n [6, -2, 7, -8, -2, -8]]\nB =\n[[4, -3, 0, 8],\n [-5, -7, 2, 9],\n [2, -5, -10, 8],\n [2, -10, 5, 3],\n [5, 3, 10, 4],\n [-10, -10, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 0, -6, -4, -10],\n [4, 1, 5, -7, -6],\n [4, 5, -3, 10, 5],\n [-3, 2, 8, -2, 0],\n [8, 6, 3, 0, 3],\n [5, 8, -6, 0, 10]]\nB =\n[[-1, -2, -3, 10],\n [3, 5, 1, 3],\n [-6, 3, 3, -1],\n [1, -9, 2, -5],\n [-7, -1, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, 8, 9],\n [3, 0, 3, -10],\n [8, 5, -5, 10],\n [-9, -9, -2, 3]]\nB =\n[[1, -3, -2, 10, -5],\n [-1, -7, 2, -6, 4],\n [0, -7, 3, 2, 0],\n [3, -5, -1, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -7, 8, -3, -1],\n [-2, 1, 9, 7, -1],\n [-8, -7, 2, 3, 4],\n [1, 1, -6, -10, 4],\n [1, 4, 8, 0, 9],\n [1, -7, -2, -10, 1]]\nB =\n[[9, -2, -7, 10, -10],\n [-4, 2, 0, -3, 0],\n [0, -7, 3, 1, 5],\n [5, -8, -1, 9, 3],\n [8, -4, -7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -3, -4, 0],\n [3, 10, 4, 9],\n [10, -1, -8, -7],\n [9, 4, 4, 9],\n [-7, 5, 9, -7],\n [-5, 5, -5, 4]]\nB =\n[[7, -10, -1, 0, -3, 0],\n [-1, 10, 3, -5, 3, 0],\n [3, -1, -6, -10, 9, -6],\n [-10, -5, -6, 0, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2271", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[4, 8, 9, -1, 2],\n [-9, -9, 4, 2, 10],\n [10, 6, -6, -5, -10],\n [-4, -10, -9, 10, -9],\n [-6, -9, -2, -2, -7],\n [-9, 6, 8, -8, 7]]\nB =\n[[8, 5, 10, 1, 10],\n [-5, 7, 6, 0, 3],\n [6, -6, 7, -1, 9],\n [6, -6, -9, -1, -6],\n [-1, 5, -6, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -4, 3, -2, 8],\n [5, 5, 4, -7, 3],\n [-7, 4, 2, -9, -1],\n [-5, -8, -6, 3, 1],\n [6, -4, 8, -4, -6]]\nB =\n[[2, 6, -4, 8],\n [-6, 1, 2, 1],\n [-3, 6, -7, -10],\n [-6, 5, 1, 5],\n [7, -9, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -10, -10, 9],\n [-6, 1, -6, 0],\n [10, 7, -3, -2],\n [5, -2, -8, -7],\n [8, -4, 10, -5],\n [9, 7, -8, 6]]\nB =\n[[1, 9, 4, -10, -9, 6],\n [9, 3, -1, -1, 8, 5],\n [-6, 10, 9, 1, -3, 3],\n [0, -6, 6, 9, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -2, -9, 3],\n [9, 0, 10, 5],\n [9, 8, 7, 2],\n [-3, -6, 8, 3],\n [3, 0, -9, -6],\n [10, 2, 5, 0]]\nB =\n[[9, -5, 7, 1, 0, 4],\n [-1, -1, -2, 8, -10, -2],\n [1, -7, -7, -9, -2, -1],\n [0, -6, 5, -9, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -8, 4, 0, -10, 9],\n [-2, 5, 6, -6, -6, 10],\n [-7, -9, -4, -3, 5, -8],\n [-9, -1, -9, 6, 9, 0],\n [-2, 3, -4, -7, 7, -2]]\nB =\n[[10, -10, -3, -2],\n [-7, -10, 10, 10],\n [-7, -3, -6, -5],\n [0, -9, -1, -9],\n [10, -9, 5, -10],\n [4, 2, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "549", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, 3, 5, 1, 3],\n [6, -2, 9, 4, -5],\n [-7, 1, -9, -7, 1],\n [1, -6, -10, 4, -8],\n [4, -1, -4, 6, 2]]\nB =\n[[0, 1, -3, 1],\n [3, 1, -7, -1],\n [1, 9, 5, -4],\n [-3, 2, -5, -9],\n [4, 6, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -10, 0, 3, 2],\n [-10, -8, 10, -2, 6],\n [-3, 10, 8, -7, -5],\n [0, -2, -3, -3, -7],\n [1, 2, 6, 9, 3],\n [-3, -4, 3, -2, 10]]\nB =\n[[9, -5, -8, 9],\n [-9, 1, -10, 7],\n [7, -10, 0, 2],\n [8, -2, 5, 4],\n [-8, 0, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 3, 3, -4, 5],\n [0, 10, 10, 8, 1],\n [7, -8, 2, 5, 5],\n [9, -1, -1, -10, -1],\n [2, 8, -10, 7, 0],\n [2, 7, -7, 9, 10]]\nB =\n[[-6, 5, 10, 9],\n [-7, 0, 0, -1],\n [6, 6, -9, 3],\n [-3, -10, 7, 7],\n [-1, -8, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1931", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -3, 6, 1, 8, -7],\n [-4, 1, -2, -7, 2, 3],\n [2, 9, 0, 0, -7, 3],\n [-6, -10, -1, 1, -10, 6],\n [-4, -5, 2, 8, 2, 0]]\nB =\n[[9, 9, 4, -2, -10],\n [-4, -2, 1, -4, 9],\n [-2, 6, 0, 10, -10],\n [10, 0, 6, 1, 5],\n [8, 8, -5, 10, -2],\n [-3, 4, -10, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -9, 7, 2, -4, -7],\n [8, -7, 3, 3, 10, -5],\n [9, -3, 1, -4, -6, 7],\n [-1, 0, 0, -5, 1, -1],\n [5, -1, 0, 5, 0, 5]]\nB =\n[[2, -2, 9, 2, -5],\n [10, -8, 3, 3, 2],\n [-4, 3, -5, 10, 7],\n [-2, 2, 7, 5, 3],\n [2, 2, -5, 0, 4],\n [7, 9, -2, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[7, 4, 6, -8],\n [3, 1, 7, 9],\n [-7, 3, -2, -8],\n [-1, -4, -4, 9]]\nB =\n[[-7, 3, -6, -7, -6],\n [-8, 7, 9, 3, 3],\n [-7, -8, -1, 1, -7],\n [3, 2, 9, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -1, -10, 4, 2],\n [-9, 4, 10, 8, -6, -4],\n [2, 5, -9, 1, 2, 10],\n [-6, -1, -5, 9, -4, 5],\n [-5, -2, 9, -8, -6, 2],\n [-3, 4, -3, -6, -9, -7]]\nB =\n[[0, -10, -4, 2],\n [-5, -10, 7, 0],\n [4, -6, 2, 8],\n [-6, -2, 8, 6],\n [9, 9, 5, -5],\n [0, 0, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, -2, -3, 0],\n [-7, 1, 2, 10, 3],\n [4, 10, 0, 0, 2],\n [-9, -5, -10, -9, -2],\n [9, -3, 1, 9, 7],\n [-6, 2, 2, 4, -1]]\nB =\n[[5, 10, -3, -9, 5, -3],\n [-7, 7, 1, -3, 7, -1],\n [-10, 2, 8, 10, -5, -3],\n [-5, -9, 1, 9, -7, 8],\n [3, -2, 5, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -5, 2, -7, 10],\n [-7, -8, 7, 9, 6, 8],\n [-2, -9, 8, -2, 8, -3],\n [1, -8, -6, 7, 7, -4],\n [6, 9, -8, -3, 9, 9],\n [-6, -4, -3, -6, 7, 9]]\nB =\n[[-2, 9, 4, 10, -8, 5],\n [3, 6, 10, 6, -10, 0],\n [-8, -4, -10, -10, 2, -9],\n [3, 0, 10, 5, -5, -2],\n [5, 9, 0, -4, 4, 9],\n [-9, 4, -9, 10, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 7, -8, -3],\n [-8, -7, 10, 4],\n [-1, 0, 1, 5],\n [0, 3, 8, 5]]\nB =\n[[-8, -4, -5, 5, -6],\n [2, 1, -3, -9, -9],\n [2, -2, -7, -4, -9],\n [-1, 8, -4, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 1, -5, 10],\n [-10, -6, -9, -8, -7],\n [7, 9, -3, 6, -3],\n [4, -9, -2, 4, 9]]\nB =\n[[8, -3, -5, 5],\n [3, -4, -5, 5],\n [-3, 8, -3, -6],\n [-10, -4, 2, -3],\n [4, -8, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[4, 7, -1, 10],\n [-7, 3, -10, 9],\n [2, 10, 5, 8],\n [-4, 0, -9, -10],\n [5, 7, -7, 6],\n [0, -5, -9, 8]]\nB =\n[[9, -7, 6, 2],\n [9, -8, 5, -10],\n [2, 10, -9, 9],\n [2, -4, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, -3, 3, -6, -5],\n [-9, 9, -4, 4, -9, 3],\n [-1, 3, -1, 3, -2, -10],\n [-10, 3, -6, -9, -3, -1]]\nB =\n[[-6, -5, 6, 10, -7, 2],\n [3, -1, 3, -4, -8, -9],\n [10, 5, -6, 4, 10, -3],\n [9, 1, -6, -5, 2, 1],\n [4, 2, 6, -9, -3, 4],\n [0, -3, -9, -9, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 2, -8, 0],\n [-3, -9, 6, -4],\n [-2, -5, -2, 9],\n [-7, 4, -6, -5],\n [-1, 8, -2, 3]]\nB =\n[[0, -1, 1, -10, 7],\n [7, 7, 4, 10, 6],\n [-2, 0, -10, 1, 2],\n [4, -2, 1, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -7, 2, -7, 7],\n [-10, -4, 6, -7, -10],\n [-8, -9, -10, -7, -4],\n [-1, 4, -5, -7, -9]]\nB =\n[[-8, 3, -10, 3],\n [4, -8, 4, 7],\n [7, -3, 1, -3],\n [2, -6, 6, -1],\n [2, -7, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, -2, -1],\n [4, 0, 3, 7],\n [6, 1, 10, 10],\n [9, 7, 2, -3],\n [5, -10, 9, 9]]\nB =\n[[-2, 6, -1, 4, -5],\n [9, 0, -6, 10, 10],\n [1, 2, -10, 3, 0],\n [-3, 2, 0, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1383", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[5, -10, -1, 1],\n [-8, -6, 2, 10],\n [-8, -7, -4, -6],\n [3, -7, -6, 9]]\nB =\n[[-7, -5, -1, 9],\n [9, -5, 5, 9],\n [-4, -3, 6, 8],\n [2, -10, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 1, -8, -10],\n [0, -4, -2, 8],\n [-4, -2, 4, 4],\n [1, 5, -5, -8]]\nB =\n[[-7, 4, -9, 9, -2],\n [6, 8, 0, -1, 9],\n [3, 8, -2, -1, -4],\n [-4, 7, 2, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[2, 10, 9, -9, -7, -2],\n [-2, -2, 1, -8, 8, 4],\n [-8, 5, -7, 3, -8, 10],\n [1, 3, 3, 3, 4, 8],\n [-3, 5, -1, -6, 7, -10],\n [-1, 5, 7, 6, 1, 10]]\nB =\n[[-1, 1, 7, 2, -9, -7],\n [8, -3, 8, 8, -2, -4],\n [-2, 0, 4, -9, 2, 4],\n [0, 7, -2, -9, 0, 0],\n [6, -6, 4, 3, -4, -7],\n [6, -1, 9, -8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -4, -5, 5],\n [-9, 7, -8, -10],\n [6, -7, 6, 2],\n [10, 5, -10, -7],\n [-1, 8, -6, -5]]\nB =\n[[-7, -5, 3, -2, 10],\n [10, 9, -8, 3, 1],\n [2, -9, -10, 2, 0],\n [-2, 8, 6, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1511", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, -7, 3, 10, 5],\n [6, 3, 8, -10, -10],\n [9, -8, 3, 2, -9],\n [-9, -3, 10, 2, 3],\n [-8, -4, -1, 0, 8],\n [-7, 9, 3, -4, -6]]\nB =\n[[-8, 2, 2, 0, -9],\n [6, -2, -2, -10, -9],\n [10, 9, 6, -5, -9],\n [9, -8, -9, 5, -1],\n [10, -4, -6, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 9, 8, 7],\n [3, -3, -5, 8, 6],\n [-4, -8, 2, 7, 9],\n [10, -6, -1, 5, -9],\n [10, -10, 6, 10, 2],\n [3, -7, 2, -8, -1]]\nB =\n[[-5, 7, 7, 3, 0, -1],\n [-1, -9, 3, 0, -9, -7],\n [8, 8, -6, -2, 6, 1],\n [6, -10, 9, 10, 6, 3],\n [-10, 8, 8, 1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2271", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -3, 4, -2, 0],\n [-1, -10, 1, -4, 4],\n [5, 9, -5, -6, -10],\n [-7, -8, 1, -10, -9],\n [8, 7, 0, 8, -5],\n [3, 0, -2, 7, -7]]\nB =\n[[9, -8, -8, -3, -9],\n [-9, -7, -3, 5, -1],\n [10, -10, 10, -9, 1],\n [5, -10, -8, -1, 3],\n [-8, -7, -10, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1980", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, 6, 4, -5],\n [2, -3, 10, 6, 9],\n [-9, 0, 0, -9, -9],\n [-10, -2, 8, 6, 7]]\nB =\n[[6, -9, 10, 9, 2, -10],\n [-4, -6, -9, -6, -1, -4],\n [-6, 0, -8, 3, -9, 10],\n [0, 3, 4, 6, 7, -4],\n [-10, 5, -3, 2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 2, -9, -3],\n [5, -7, -9, -10],\n [4, -3, 4, -9],\n [7, -2, -4, -10]]\nB =\n[[-6, -3, 2, -6],\n [2, 1, 4, 7],\n [0, 10, -8, 6],\n [-4, 4, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -7, 6, -1, -9],\n [2, -7, -9, -9, -9, 8],\n [5, -10, -6, -5, -4, -5],\n [-8, 4, 6, 9, 5, 10],\n [-2, -2, 8, -2, -3, 8],\n [7, -10, 10, -3, -4, 4]]\nB =\n[[-7, 6, 8, 5, -7],\n [10, -6, -7, 2, -8],\n [-1, 0, 6, -10, 9],\n [7, -4, 8, -7, -3],\n [-6, 0, -4, -9, -5],\n [-4, 2, 6, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "919", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -4, 1, -8, 10],\n [-10, -6, 10, -9, -8],\n [-7, -2, -8, -8, 8],\n [1, 3, 0, -2, 6]]\nB =\n[[3, -2, 8, -4, -3],\n [-10, 0, -3, -6, -1],\n [10, -4, 2, -9, 6],\n [-5, -1, -8, 7, 7],\n [-3, 10, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -3, -9, -4, 10, 0],\n [2, 9, -8, 3, -4, -3],\n [3, -9, 3, 1, 8, 8],\n [4, 4, 1, -1, 5, -6],\n [-8, 6, 0, 6, 7, 7],\n [-9, -5, -6, 3, 8, 4]]\nB =\n[[6, 3, 5, 1, -2],\n [5, -8, 1, -9, -2],\n [-4, -3, -2, 4, -4],\n [3, 1, 3, 3, -3],\n [-7, -3, 7, -7, 5],\n [9, 0, -7, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, -7, -8, -2],\n [0, -6, -2, -2],\n [1, 8, 4, 9],\n [-9, 10, 5, -10]]\nB =\n[[-10, 2, 9, -5, -6],\n [2, -8, -5, -9, 6],\n [-10, 2, -10, 7, 3],\n [2, -7, 7, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[5, -2, 4, -2, -8, 7],\n [-4, 0, 1, 6, -2, -8],\n [3, 3, 8, 2, 2, 6],\n [-7, 0, 1, -5, 4, 7],\n [6, 3, -6, -1, 7, 2],\n [8, 10, 3, 8, -5, -4]]\nB =\n[[6, 3, -7, 8],\n [7, -7, 5, -3],\n [-2, 6, -5, 8],\n [4, 0, -6, -5],\n [-7, -9, 4, 5],\n [-10, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-10, 1, 1, -4, 5, -4],\n [-4, -8, -6, -5, 0, 2],\n [-6, 5, 7, -6, -10, 9],\n [6, 6, 0, 6, 0, 9]]\nB =\n[[10, 2, -3, -8, -2, -8],\n [-7, -9, -9, 7, 10, 7],\n [-5, -3, -10, -7, -10, 2],\n [-5, -10, -1, -5, -6, 5],\n [6, -10, 2, 2, 9, 10],\n [-7, 4, -6, -10, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 7, 8, -4, -9, 0],\n [2, 6, 1, -7, 6, -4],\n [-1, -4, 5, -2, 2, -4],\n [5, 2, -2, -4, -6, -2]]\nB =\n[[10, -6, -3, -6, -1],\n [1, -2, 10, -4, -3],\n [0, -6, 8, -9, -5],\n [-2, 7, -7, 7, -1],\n [5, -4, -9, -1, 0],\n [6, -7, 4, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 4, 7, 4, -8],\n [0, 9, -4, -8, -2],\n [4, -4, -7, -4, 0],\n [0, -10, 0, -8, 6],\n [-9, 6, -1, -4, 10]]\nB =\n[[-2, 1, 5, -1, -7],\n [-8, -4, -2, -7, -4],\n [2, 2, -1, -6, 3],\n [9, 6, -4, 9, -9],\n [4, -5, -2, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-2, 0, -7, -10],\n [-2, 10, -9, -4],\n [5, 3, 7, -10],\n [0, -10, 10, -3],\n [1, -6, -4, 7],\n [-7, 5, -5, -5]]\nB =\n[[-5, 0, 1, -9, 5],\n [-3, 2, -1, 5, 10],\n [7, 8, -4, -4, -5],\n [-3, 9, -10, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-1, 0, 10, 3, 0],\n [-2, -6, -4, 9, 9],\n [-6, -4, 8, 1, -10],\n [-9, -7, -10, -7, -7],\n [-8, 10, -10, 2, 1],\n [-1, 4, -9, -5, -10]]\nB =\n[[2, -10, -3, 2],\n [-8, -4, 4, -7],\n [-9, -6, 8, 8],\n [10, 5, -1, -8],\n [4, 1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 9, 3, -8, 7],\n [2, 2, 8, -6, 8, 1],\n [-8, 3, 7, -5, 4, 7],\n [1, -5, 4, 5, 7, 5],\n [-6, -2, 7, -9, 4, 1],\n [-7, 7, 2, -2, 8, -10]]\nB =\n[[-6, 4, 10, -10, -9, 4],\n [2, 9, -2, -5, 7, -6],\n [-8, -9, -10, 3, -1, 0],\n [-7, -7, -5, -9, 7, -4],\n [4, 5, -8, 3, 10, 0],\n [9, -9, 7, 0, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -4, -9, -8],\n [-4, -4, 5, 2],\n [-4, -8, 6, -8],\n [7, -1, -8, 7],\n [-5, 6, -10, -2],\n [3, 1, 8, -6]]\nB =\n[[1, 9, -6, 2, 4],\n [-2, 5, -5, -8, 5],\n [-8, 9, 5, 4, 2],\n [5, -6, -5, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2001", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-6, -2, 10, 1, 4, -6],\n [-7, 1, -4, -9, 2, -4],\n [2, -8, 3, 9, -10, 0],\n [8, -1, -4, -10, -5, 0],\n [4, 8, 1, 10, -9, -2]]\nB =\n[[-6, -1, -6, 7, -8, 2],\n [1, 4, -4, -9, 9, -3],\n [-3, 9, -4, 0, -4, -10],\n [-5, -7, -8, -7, 5, 3],\n [4, 6, 1, 3, 5, 9],\n [9, 4, 1, 9, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[0, -2, -9, 2, -2, 6],\n [4, -8, -10, 10, -10, 3],\n [8, -7, -10, 5, -5, -8],\n [3, -7, 0, -6, -2, -4]]\nB =\n[[8, 1, 1, 9, -4],\n [2, 1, -4, 10, 5],\n [9, 7, -10, -2, 2],\n [7, 6, -3, -4, 10],\n [-10, -4, -9, -10, 5],\n [-1, 10, 4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 10, -1, 5, -5, 7],\n [7, -3, -5, -5, 3, -6],\n [-3, 10, -7, 1, 5, -8],\n [1, -8, -9, -7, -6, -1],\n [-5, 2, 8, -3, 2, -2],\n [10, 1, -3, -4, -3, 6]]\nB =\n[[3, -2, -3, -3, -8],\n [9, 2, 10, 7, -7],\n [-6, 4, 8, -5, 2],\n [8, -3, 4, 7, 4],\n [-5, -4, -3, 8, 5],\n [-7, -3, -4, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-1, -2, 8, 8],\n [3, -8, -6, 1],\n [-5, -7, 7, -7],\n [2, 5, -10, 6]]\nB =\n[[2, 0, 8, -3],\n [0, 0, -7, -6],\n [3, -2, -9, -2],\n [-9, -6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -8, 4, -8, -9, 2],\n [-8, -9, -7, -5, 6, 5],\n [-10, -9, 0, 8, 9, -5],\n [0, -10, 1, 3, -6, 0],\n [-7, 1, -10, -6, -7, -6]]\nB =\n[[7, 3, 7, -1, -3, -5],\n [-2, 7, 0, 2, 0, -5],\n [1, 8, 9, 1, 9, -4],\n [7, -2, 6, -6, 2, -7],\n [-8, 6, -1, 3, -4, -5],\n [-7, 6, 9, 7, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-551", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 9, -2, 3, -7],\n [5, -6, -2, -2, -9],\n [0, -4, 5, -4, 3],\n [5, 4, -6, -4, 10],\n [-4, -6, 9, -8, 8]]\nB =\n[[4, 3, -6, -8],\n [0, -9, -10, 4],\n [-3, 1, 8, -1],\n [8, -3, -7, 2],\n [2, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 8, -10, -3, -10, 2],\n [2, -3, -8, 3, 3, 1],\n [-2, -7, 1, -9, -3, -8],\n [2, -3, 4, 3, 9, 0],\n [-9, -10, -5, 1, -8, 1],\n [-5, -7, 3, 10, 2, -3]]\nB =\n[[-8, 7, -6, -7, 7, 0],\n [-6, -4, 7, -6, 3, 4],\n [7, -7, 3, -9, 0, 0],\n [-9, -4, -7, -4, 3, -2],\n [-8, 0, 9, 1, 0, 0],\n [0, 2, -3, 10, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, -7, 4, -9],\n [-8, 7, -6, -6, -8],\n [-2, -2, 2, -2, 3],\n [4, -8, 6, 2, 0],\n [2, -9, -5, -2, 0],\n [-6, 7, 7, -1, 8]]\nB =\n[[-5, 0, -3, -1, -10],\n [-9, 5, -6, 8, -1],\n [-6, 10, -3, 2, 3],\n [3, 8, -2, -5, 10],\n [10, -6, 3, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 4, 7, 8, 6, -2],\n [6, -8, -2, -7, 4, 9],\n [-1, -1, -6, 9, -1, 5],\n [5, -8, -7, -3, 4, -3],\n [10, -3, -4, 5, 0, 7]]\nB =\n[[-5, -2, -3, 6],\n [-9, -2, 2, 6],\n [-7, 9, -1, -4],\n [2, -4, -9, -7],\n [-8, 6, 4, -3],\n [8, 2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -4, 1, 1, 6],\n [4, 5, 0, -7, -8, 10],\n [-8, 7, -6, -2, 2, -8],\n [0, 5, 5, -1, -2, -9]]\nB =\n[[8, 7, 7, -5],\n [3, -4, -2, 0],\n [1, 9, -10, -6],\n [-2, -3, 1, 2],\n [-3, 5, 3, -4],\n [-8, 2, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -8, 2, 9],\n [-1, -4, 5, 8],\n [7, 10, 6, -8],\n [6, -3, -9, 3],\n [5, -9, 4, -10]]\nB =\n[[-10, 9, 9, 5, 10],\n [-4, 0, 1, -10, 6],\n [9, 5, 7, -9, -8],\n [-5, 4, 6, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-1, 5, -5, -9, 6, -5],\n [9, 1, 1, 7, 8, 4],\n [-8, 6, -6, -8, -8, 2],\n [-8, 9, 0, 5, 10, -5]]\nB =\n[[0, 4, 9, -1, -7, 2],\n [-4, -1, -4, -8, -4, 6],\n [6, -8, 9, -5, 8, -9],\n [-7, -1, 6, -1, 4, -1],\n [9, -10, 4, 5, 6, -4],\n [7, -10, -10, -3, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -1, 10, 8],\n [2, -10, 3, 5],\n [-4, -3, -8, 6],\n [-6, 8, -9, -5],\n [-6, 8, 9, -1]]\nB =\n[[-4, 9, -10, -5, 5, 9],\n [1, 9, 10, 3, 5, -9],\n [-7, -3, 10, 4, -2, 6],\n [8, -1, -9, -6, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, -1, 8, 4],\n [-5, -9, -7, 1, 2],\n [2, -2, -3, -3, -5],\n [7, 8, -7, 2, -8],\n [9, -2, 8, 10, 6],\n [2, 0, -7, 8, 4]]\nB =\n[[-5, 6, -10, -7, 5, -8],\n [-6, -3, -3, -6, 1, 5],\n [-5, -8, 2, 0, 4, 0],\n [-9, 4, -10, -8, -8, 2],\n [8, 9, 7, 3, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-3, 2, 7, -4],\n [-5, -3, 8, 7],\n [4, -10, -10, -5],\n [1, 0, -8, -5],\n [0, -10, 5, 1]]\nB =\n[[9, 8, -7, 7, -3],\n [5, -7, 5, 7, -4],\n [-7, 3, -7, -3, 2],\n [-10, -6, -1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -5, 10, 6, -8],\n [0, -2, -3, 2, -7],\n [6, 3, -8, -1, 9],\n [5, 3, -7, -2, -10]]\nB =\n[[-3, -6, -2, -3],\n [-8, -8, 8, -3],\n [3, -10, -3, -1],\n [-1, -8, 2, 7],\n [1, 8, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-7, -6, 5, -3, 7, -10],\n [-10, 9, 5, 2, -7, -2],\n [1, -1, 4, -3, 1, -3],\n [0, -9, 8, -1, 2, -6],\n [-3, 4, -3, 6, -6, 1],\n [-7, -5, -8, -5, 10, -9]]\nB =\n[[-1, 1, -7, 10],\n [-6, 4, -10, 6],\n [3, -8, -5, 7],\n [-1, 8, 7, -10],\n [1, -3, -4, 10],\n [10, 3, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -3, 5, 10],\n [2, -2, -6, -8],\n [3, 0, -8, -5],\n [-1, -6, 0, 1],\n [-9, -2, 2, -7],\n [4, -8, 0, 6]]\nB =\n[[2, 0, -2, -9, -4, -3],\n [3, 8, -9, 6, 2, 2],\n [-8, -8, -6, -4, -7, -10],\n [8, 8, 2, -8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1311", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -7, 10, 6],\n [-1, 8, 10, 8],\n [5, -10, 5, 6],\n [8, -3, -1, -2]]\nB =\n[[-1, 4, 2, 10, -2],\n [-9, -9, -5, -2, -10],\n [-6, 3, 4, -6, -2],\n [6, 9, -1, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 7, -4, -2, 0, -10],\n [2, 6, 2, -3, 6, -6],\n [0, -3, 3, 7, -8, 0],\n [-5, -5, -9, 0, 0, -8],\n [4, 10, -8, 3, -10, -10]]\nB =\n[[-6, 3, -10, 9, -1],\n [5, 7, 6, -2, -1],\n [-3, -8, -8, -4, -9],\n [-6, 7, 2, 6, -8],\n [-2, 5, -3, -2, 6],\n [-6, -7, 6, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1701", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 1, 10, 10, 3, -10],\n [2, 9, 6, 3, -3, 2],\n [-10, -6, 5, -6, 3, 3],\n [-10, 10, -7, -5, 1, 0]]\nB =\n[[-1, 9, -6, -3],\n [4, -7, 8, -7],\n [4, 8, -2, 7],\n [-10, 1, -1, -4],\n [-8, 8, 0, -2],\n [4, 7, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-9, 4, 1, -2, -5, 4],\n [3, -9, 4, 2, 0, 8],\n [0, -10, -7, 6, -6, -7],\n [2, 10, -4, -2, 4, 9]]\nB =\n[[9, 3, -2, -4, -1],\n [5, 4, -3, -10, -5],\n [2, -9, 4, 3, -4],\n [7, 8, -5, -8, 2],\n [2, 9, 6, -1, -6],\n [7, 2, -8, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[7, 3, -1, 8],\n [10, 7, 0, -6],\n [-3, 6, 2, -10],\n [-2, 9, -9, 5]]\nB =\n[[-2, -5, -4, -1],\n [6, -5, -7, -2],\n [5, 9, 6, 6],\n [0, -1, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, 1, 3, -5],\n [3, 9, 1, 6],\n [-9, -6, -5, -1],\n [9, -3, 0, -10],\n [-7, 4, 8, 6],\n [-4, -2, -3, -9]]\nB =\n[[-10, 3, 9, 7, -5, 8],\n [-6, -1, -10, 3, 7, -7],\n [-1, -6, 3, -7, 9, -3],\n [-7, 2, 8, -1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 7, 7, 7, 3, -10],\n [5, -7, -5, -8, -4, -6],\n [0, -6, -8, -1, -7, 8],\n [6, 1, 0, 3, 4, 10]]\nB =\n[[3, -7, 6, -4],\n [-6, -6, -7, 8],\n [7, 9, 5, 8],\n [3, -9, 4, -6],\n [-8, 1, -1, 2],\n [3, 2, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "845", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-1, -3, -1, -7, -10, 7],\n [5, -5, -9, -4, 1, -3],\n [-5, 2, -1, -6, 10, 2],\n [8, 0, 7, -5, 5, 10]]\nB =\n[[-10, 7, 8, 1, 7],\n [7, -6, -4, 1, -1],\n [3, -4, 6, 1, 4],\n [-4, -8, 7, 2, -1],\n [-10, 10, 4, 1, 1],\n [9, 7, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, 5, 9, -6],\n [-8, 0, -10, -9, -7],\n [-3, -2, -3, -9, -9],\n [7, -1, -9, -9, -1],\n [-1, 9, 3, 6, 3]]\nB =\n[[2, 10, -7, -5],\n [3, -7, 0, 1],\n [-6, -3, -10, -6],\n [-2, -7, -7, 8],\n [9, -4, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 5, 7, 7, 5],\n [7, -1, -10, -9, -1],\n [4, 2, -1, 1, 10],\n [0, 10, 1, 8, 0],\n [2, 5, 4, -8, 7],\n [-2, 2, 6, 6, 6]]\nB =\n[[4, -5, 5, 2],\n [-8, 1, -6, 1],\n [9, -5, -5, -7],\n [3, -4, -10, 2],\n [3, 9, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, 4, 6, 3, -3],\n [7, -3, 8, 5, -2, 7],\n [-3, 1, 3, 8, 6, 9],\n [9, -8, -7, -4, 4, -8],\n [-4, 5, -5, 3, -1, 1],\n [0, 3, 0, -5, -10, 4]]\nB =\n[[-10, 8, -6, -3, -4, 3],\n [6, -3, 2, 0, 8, 9],\n [5, -1, 4, 3, -1, 9],\n [1, -10, -2, -2, 3, 10],\n [2, 8, -4, -7, 10, -7],\n [-1, -5, 9, -1, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2617", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, -6, -5, 9],\n [-9, -6, 9, -9, -1],\n [-3, -1, 9, -10, -7],\n [-3, -4, 4, 4, -9]]\nB =\n[[-8, 10, 7, 9, 7, 7],\n [7, 0, 5, -9, 8, -2],\n [-9, -4, 9, 5, 9, -3],\n [-9, 7, -9, 0, 8, 8],\n [1, 2, 6, -10, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-530", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 9, -3, -9, -6, 10],\n [9, -8, 7, -9, -6, 5],\n [0, 7, 1, 2, 5, -5],\n [8, 7, 4, 8, 8, 6],\n [6, -9, -10, 1, 4, -5]]\nB =\n[[-9, -8, 2, 9, 8],\n [-4, 4, 1, -1, 6],\n [-8, 2, 9, -3, 0],\n [3, 1, -7, 7, -6],\n [-5, 0, -8, 8, 6],\n [-8, 4, -2, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[2, -10, -7, -7, -7, 6],\n [3, 9, -4, -9, -3, 0],\n [-3, -4, -7, 3, -5, 6],\n [3, -10, -8, -9, 5, 5],\n [-2, 1, 2, -2, 5, -5],\n [7, -1, 1, 0, 3, 7]]\nB =\n[[-2, 9, -8, 4, -7, -3],\n [1, -7, 7, 0, 3, -5],\n [10, 8, 5, -7, 6, -9],\n [3, -1, 9, -10, 9, -8],\n [-6, 6, 1, 8, 4, 10],\n [-8, 4, -8, 10, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, 8, 0, 9],\n [0, 0, 2, -8, 7],\n [10, -2, 4, 7, 7],\n [-8, -5, 4, -1, -1],\n [8, -9, -8, -4, 7],\n [-4, -7, 0, 1, 2]]\nB =\n[[-7, -7, -2, -8, -7],\n [-9, 3, 8, -4, 8],\n [4, -6, 6, -2, -7],\n [-1, 9, -5, 0, 2],\n [2, 1, 6, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1516", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 4, 9, 5, 2, 0],\n [-4, -9, 7, -5, 3, 10],\n [0, 6, 1, 7, -2, -1],\n [-8, -4, -10, -6, 8, -3],\n [1, 2, -8, -6, 5, 4],\n [5, 6, 6, 8, 10, 2]]\nB =\n[[-9, -8, 8, -7],\n [-8, -1, -10, 1],\n [6, 5, 6, -2],\n [-6, -5, 9, -8],\n [10, -10, -2, -5],\n [-8, 3, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1745", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, -3, 5],\n [-4, -10, 3, -5],\n [-4, -10, 2, 2],\n [-8, 0, -2, -6],\n [1, -1, -3, -3],\n [-8, 9, 6, 10]]\nB =\n[[8, 0, 2, -6, -6],\n [-4, 0, -6, -9, -1],\n [-8, 7, 10, 1, -1],\n [-7, 9, -4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, -4, -10, -1],\n [0, -4, -4, 0, -4],\n [-10, -7, 2, -6, -4],\n [-4, -6, -5, -8, -1]]\nB =\n[[6, -1, 1, 0, -10, 3],\n [-4, 2, 4, 7, 5, -7],\n [9, -5, 10, -2, -1, 5],\n [-2, -1, 0, -7, 6, 3],\n [-10, 10, 4, -9, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -5, 7, -7],\n [7, 3, 8, 8],\n [6, -6, -5, -2],\n [-10, -3, -8, -8],\n [-10, 8, 4, -3],\n [-4, 4, 5, -5]]\nB =\n[[4, -10, 0, 7, 4, -10],\n [-9, -3, -5, -8, 4, -7],\n [-7, -5, 2, 3, 3, -3],\n [5, -8, 10, -5, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 6, 2, -5, 4, 4],\n [-7, -9, 7, 2, -5, 5],\n [6, 1, -2, 4, 10, 1],\n [-1, -7, 4, -2, 5, -6],\n [3, -6, 8, 7, 4, 9],\n [-1, 8, 6, 4, 8, 8]]\nB =\n[[10, -7, -5, 5],\n [6, 10, -3, 0],\n [8, 6, 0, 10],\n [10, 9, -5, 3],\n [-7, 2, 8, -10],\n [-9, 4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "602", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 2, 6, 2, -3, -7],\n [2, -8, -9, -2, 5, -3],\n [4, 5, -2, -10, 7, -2],\n [-5, 9, -9, -6, -5, -7],\n [-1, -1, -10, -8, 4, 1],\n [-5, 9, -8, -5, -7, 2]]\nB =\n[[6, 6, -10, -7],\n [-5, 6, 1, -4],\n [-8, -9, -6, -9],\n [-2, -6, 7, -8],\n [-8, -5, 7, -10],\n [4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -7, 10, 10],\n [9, 5, 6, -6, -4, 0],\n [5, -1, 0, 7, 6, 7],\n [-6, 8, -7, -9, 5, 10],\n [8, -5, -10, 7, -8, 8],\n [-10, 7, 9, -7, 1, 6]]\nB =\n[[6, 9, 10, 5],\n [-9, 4, 8, 7],\n [-6, -6, 10, 0],\n [10, -1, -1, 8],\n [-2, 5, 5, -7],\n [2, -1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -10, -2, 5, 3],\n [-4, 9, 6, 1, 6],\n [-7, -6, 3, 8, 10],\n [6, -1, 10, -5, -3]]\nB =\n[[8, -7, -8, -5, 1, 1],\n [-4, -4, -8, -4, 2, -8],\n [-9, 0, 3, 8, 3, -6],\n [-1, 5, -9, 1, 10, 1],\n [8, -6, -4, 10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -8, 10, -7, 0, -5],\n [-9, 5, -7, -5, 10, -1],\n [-7, -1, 8, 8, 0, 5],\n [0, 10, -1, 2, -9, -5],\n [9, 3, -5, -7, 7, 6],\n [-7, -2, -9, -4, 0, 0]]\nB =\n[[9, 6, 8, 2, -3],\n [-2, 9, 1, 5, 3],\n [-7, 3, -1, 2, 8],\n [3, 10, -1, -4, 6],\n [0, -4, 8, -6, 3],\n [8, -9, 7, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1876", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -2, 7, 9, -5, 0],\n [0, -8, 2, -6, -10, 5],\n [10, -6, -2, 3, -3, 6],\n [-10, 8, -4, -9, -3, -10],\n [-5, -4, -1, 3, 4, 4],\n [-8, 5, -6, -6, 10, -10]]\nB =\n[[-9, 4, 3, -2, 3, -8],\n [-10, 2, 4, 8, -2, -3],\n [3, 9, -7, -10, -1, -2],\n [2, 5, -4, -3, 8, 8],\n [5, -3, -6, -5, -9, -10],\n [0, 9, -8, -8, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2967", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[0, 2, 10, -1, 4, 10],\n [-4, 0, 3, 1, -5, -9],\n [5, -1, 1, -7, 0, 4],\n [9, 2, 2, -4, 7, -3]]\nB =\n[[5, 3, 2, -7, 3],\n [4, 10, -8, -8, 5],\n [-5, 9, -9, 3, 7],\n [-7, 8, 1, 10, 0],\n [4, 1, 7, -2, 0],\n [7, -2, 10, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -2, 0, -5],\n [6, -7, -6, 8],\n [-3, 7, 10, -3],\n [5, -10, -10, -6],\n [10, -10, -5, 1]]\nB =\n[[-2, 2, -8, -6, -7, -3],\n [2, 0, -4, 9, -8, 3],\n [8, -1, -7, 4, 3, 8],\n [0, -5, 1, -7, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-754", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -4, 10, 5, -5],\n [-6, 6, 3, 8, 10],\n [-10, -9, 10, 10, -6],\n [8, -3, 0, -7, 10],\n [5, -4, -7, 4, 5]]\nB =\n[[-8, 9, -10, 1, 0],\n [8, 4, -5, -9, 10],\n [6, 9, -1, 4, 5],\n [4, 7, -7, 3, -3],\n [3, 8, -4, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1964", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 2, 3, -6, -2],\n [6, -5, 0, -1, -8],\n [-8, 5, -6, -5, 9],\n [0, 0, 6, 1, -2],\n [-10, 8, 6, 9, -10],\n [10, -3, -7, -7, -8]]\nB =\n[[-9, -1, 7, -10],\n [6, 3, 8, -7],\n [-9, -9, -10, -8],\n [2, 7, -2, -8],\n [6, 6, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 7, -7, -9, 8],\n [-7, 9, 4, 10, 10],\n [0, -10, 6, 2, -7],\n [3, -9, 10, 6, -2],\n [8, -1, -2, 10, -10],\n [1, 0, 9, -8, -1]]\nB =\n[[-9, -7, -7, 4],\n [-10, -8, -3, 3],\n [-1, 2, 4, -1],\n [-1, -1, -5, -5],\n [10, -2, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, -8, 6],\n [1, -10, 3, -9],\n [6, -8, -10, 1],\n [-2, 7, 7, 1]]\nB =\n[[-1, 1, 4, -2, 10, -7],\n [8, 2, 5, 3, 8, 2],\n [-9, -7, -6, 5, 10, 5],\n [6, -3, -9, 7, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 4, -8, -4],\n [-9, -2, -5, -4],\n [-1, -2, 4, -3],\n [-4, -7, -9, -7]]\nB =\n[[0, -3, -9, 1, -2, 9],\n [4, 9, -7, 4, 10, 9],\n [-1, -3, 4, -7, 4, -1],\n [0, -5, -5, -5, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, 4, -10],\n [6, -1, 5, 10],\n [-6, 3, 6, 4],\n [-5, -7, -8, -10],\n [6, -9, -4, -2]]\nB =\n[[4, -6, -10, 2, -1],\n [6, 2, -3, 4, -3],\n [-5, 2, -10, 1, 2],\n [6, -2, 5, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, 8, 0, 7],\n [7, 6, 8, 4, -9],\n [3, -6, -10, 1, 10],\n [-9, -10, -8, -4, -7],\n [-6, -9, -9, -2, -5]]\nB =\n[[-3, -6, 1, -2, -6, -8],\n [-1, 9, 5, 3, 4, -10],\n [-3, 2, -5, -3, 7, -10],\n [2, 1, 2, 3, 6, -8],\n [-3, 6, -6, 0, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, -9, 1, -5],\n [-2, 10, 5, -10, 2],\n [-6, 10, 5, -6, -10],\n [-9, 1, -8, -3, 9],\n [-7, 6, -10, -4, -3]]\nB =\n[[-3, 6, 10, -8],\n [0, 4, 9, 0],\n [-8, 8, 8, 2],\n [3, 8, 4, -2],\n [6, -1, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1563", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, -3, 5, -8, -9],\n [6, 0, -8, 6, 7, 0],\n [-9, 3, 4, -7, 3, 3],\n [-6, -2, 2, 8, -4, 0],\n [-3, -1, -4, 10, -4, 7]]\nB =\n[[-10, 8, -2, -6, 6, 0],\n [0, -8, -5, -4, -3, 5],\n [-4, -5, -7, 7, 6, 7],\n [-5, -8, -9, 6, -3, -4],\n [4, 5, 4, 0, -5, 10],\n [1, 0, -2, -10, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1827", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, -10, -8, 3],\n [-2, 9, -1, 6, -3],\n [-5, -10, -9, 2, 4],\n [-3, 2, -6, -9, 6]]\nB =\n[[-7, -3, 5, -10],\n [4, -7, -9, -6],\n [5, 0, 9, 6],\n [0, 7, -1, 0],\n [-9, -8, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, 3, -6, -10, -3],\n [3, 4, -2, -10, -7, -1],\n [-7, 1, -2, 1, -4, 7],\n [-5, 8, -7, -3, -6, 2]]\nB =\n[[-2, 9, 0, -6, -8, -4],\n [8, 4, -8, 3, 2, 0],\n [-3, 1, -1, -10, 0, 0],\n [-6, -5, 10, 7, -1, -5],\n [-7, -7, 10, -8, 10, -1],\n [2, 2, -1, -4, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[1, 3, -2, 0, 7],\n [-4, -2, -1, 3, 7],\n [7, 10, -4, -1, 5],\n [8, 5, -2, -8, 1]]\nB =\n[[-6, -9, -10, -10, -10],\n [8, 6, -8, -1, -6],\n [2, 3, -10, 3, -1],\n [6, -7, -3, -6, 6],\n [-2, 1, -6, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 8, -6, 6, 9, 7],\n [-5, 9, -6, -6, -10, -5],\n [-2, 0, -4, -8, -6, -5],\n [-5, -1, -7, -6, 7, 8],\n [3, -7, 10, 5, -6, -7]]\nB =\n[[3, -8, 0, -6, -2],\n [-8, 0, 2, 3, 8],\n [4, -8, -3, -2, 1],\n [-2, 10, -5, 8, 3],\n [3, 1, 1, 1, -1],\n [-2, -6, -1, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, 4, 1, -2, 3],\n [-5, -7, -9, -7, -8, -8],\n [10, -7, -9, 1, -3, 7],\n [-4, -9, 6, 6, 8, -1],\n [-1, -8, 0, 7, -3, 1]]\nB =\n[[-2, 0, -5, -7, -10],\n [-7, 2, -4, 0, -10],\n [7, -7, 5, -8, -2],\n [3, -1, -2, 3, -9],\n [-1, -6, 4, 1, -4],\n [0, 9, -1, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 4, -1, -5],\n [5, -2, -9, -9],\n [3, -3, -8, -4],\n [-2, 6, 3, 0]]\nB =\n[[5, -2, -3, 6, 1, -2],\n [0, 10, 6, -3, 7, -7],\n [2, -3, -10, 3, -1, 6],\n [-6, 2, 2, -1, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "538", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, 6, -5, -4, 3],\n [-7, 5, 6, 1, 4, -5],\n [0, 6, -9, 0, 9, -5],\n [-7, 0, 2, 0, -4, -9],\n [-3, 9, 5, 3, 1, -10],\n [-3, 3, 1, 4, 5, -5]]\nB =\n[[1, -6, 8, 3, 4, 2],\n [9, -10, 9, 1, 5, -1],\n [-10, 0, -1, -4, 4, 3],\n [-4, -8, 3, 10, 9, -2],\n [2, -9, 5, 5, -9, -9],\n [1, -8, 6, 5, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -10, -10, -9, -1],\n [-7, -7, 5, 8, -6],\n [9, -7, 3, 10, -7],\n [-9, 9, -8, -9, 8]]\nB =\n[[-1, 5, 7, 3, 1, -1],\n [9, 8, 10, 8, 6, 5],\n [-3, -9, 6, 6, 7, 2],\n [-4, 5, -1, 1, 5, 1],\n [4, 9, 7, -9, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2032", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 4, 0, 2],\n [-7, 8, 7, -8],\n [9, -7, 8, -3],\n [8, -1, 1, -2],\n [8, 0, 1, 0]]\nB =\n[[-4, -6, -5, -4, 7, -8],\n [3, -6, -2, -9, -8, 7],\n [10, -10, -2, -8, 4, -6],\n [0, -4, -1, 6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-925", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -9, 5, -7, -2, 0],\n [-8, -9, -2, -2, -9, -6],\n [8, 0, 0, -9, 3, 8],\n [-5, -2, 4, 9, -6, 8],\n [-1, 6, 7, -8, -9, 6]]\nB =\n[[0, 2, 5, 10],\n [-8, 10, -1, -5],\n [0, -6, -7, 8],\n [5, -2, 1, -2],\n [-2, 4, 9, -10],\n [-6, -4, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-412", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, 8, -7, 10],\n [-1, 0, 5, 5, 5],\n [10, 10, -2, -9, 5],\n [10, 3, -7, -4, -5],\n [0, 10, 4, 8, 10],\n [-7, 5, 8, 7, 2]]\nB =\n[[4, 10, 9, 6, -2],\n [-3, -2, 1, -5, -6],\n [-6, 9, -4, 0, -2],\n [2, 1, -7, 7, 9],\n [-6, -5, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[5, -6, 9, -3, 2],\n [8, -10, -8, 7, -8],\n [1, -8, -10, 6, 9],\n [2, -2, -3, 5, 3]]\nB =\n[[7, -4, 10, -1, -2],\n [6, 7, 4, 4, -2],\n [9, -6, 0, 3, 8],\n [0, -2, -3, 0, 6],\n [8, -10, -2, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 9, 0, 10],\n [-10, 6, 5, 3],\n [4, -1, 3, 7],\n [1, 7, -1, -7],\n [7, 5, 4, -9]]\nB =\n[[-5, 3, -10, 4, -1],\n [0, -7, 5, -6, -6],\n [-6, 9, 4, 10, -8],\n [3, 9, 6, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1478", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 8, -5, -9],\n [-7, 9, -6, -2, -8],\n [1, 5, 1, -7, 5],\n [0, -6, -5, 2, -6],\n [-10, -10, 5, -6, 0]]\nB =\n[[-2, 7, -2, 4, -4],\n [9, 8, 10, -6, 1],\n [-5, 5, 3, -1, 5],\n [-5, 6, -1, 5, 6],\n [-8, 2, -9, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -5, -9, 7, -6],\n [-9, -8, -1, -10, 7],\n [5, -8, 2, 7, -8],\n [1, 5, -9, -1, 4]]\nB =\n[[8, 10, 2, 0, 6],\n [-7, 0, -10, -5, 9],\n [-9, -4, 0, 4, 0],\n [10, 10, 0, 1, -10],\n [-8, -6, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 7, 10, 5, -6],\n [-8, 0, 4, -6, -3],\n [5, 4, 7, -7, 5],\n [-2, -5, -2, -8, 2],\n [-8, 7, 7, 6, -7],\n [-1, 1, 8, 3, 9]]\nB =\n[[5, -8, -9, 10, -1, 6],\n [-2, 5, 2, 1, -9, 8],\n [3, 7, -3, 0, 9, 5],\n [-6, -6, -2, 0, -10, -10],\n [4, -6, -6, -9, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -4, 6, 6],\n [5, -7, 8, 4],\n [3, 4, 9, 7],\n [-3, -6, -4, 5],\n [4, -7, 6, 1]]\nB =\n[[-1, -3, -9, -10, -9],\n [10, 10, -9, -5, 0],\n [-9, -3, -5, 10, 0],\n [7, 7, 10, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1246", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 0, 7, -4],\n [-6, -10, 9, 3, 3],\n [7, 3, 1, 8, 7],\n [-6, -9, 1, -3, 5],\n [1, -10, 8, 6, 1],\n [-10, 3, 9, -1, 0]]\nB =\n[[1, -10, 7, -7, -3],\n [5, 0, -6, 7, 0],\n [8, -10, -1, 4, -4],\n [-8, -8, -3, 2, -8],\n [9, -10, -8, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, -3, 6],\n [-2, -1, -8, 7],\n [6, -8, 5, -1],\n [5, -6, -6, -2],\n [1, 7, 9, -9]]\nB =\n[[2, 2, 8, 8, -10, 0],\n [3, -6, 0, 4, 0, 6],\n [5, -7, -7, -2, 9, 9],\n [8, -6, -10, 9, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, -10, 10, 7, -1],\n [-8, -3, 1, 1, -10, 10],\n [4, -1, 9, 1, 1, 0],\n [-1, 2, 5, -10, -9, 6],\n [3, 3, 3, -9, 3, -3],\n [-9, -5, 6, -7, 9, -5]]\nB =\n[[-5, 1, -6, -4],\n [0, -5, -9, -6],\n [6, 3, 10, 7],\n [10, 4, -8, 10],\n [-9, 4, -10, 0],\n [7, 1, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 10, 0, 5, -8],\n [4, 7, -6, 2, -2],\n [-7, -8, -2, 10, 4],\n [4, 4, -1, -6, 7],\n [0, 2, -6, 4, -1],\n [3, -7, 10, 5, 6]]\nB =\n[[-2, 6, 10, -5, -2],\n [-8, -6, 9, -4, 8],\n [-9, 4, -2, -2, -7],\n [-4, -2, 9, -6, 0],\n [1, -7, 1, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1422", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, 10, -5, 10],\n [7, -2, 4, -4, 2],\n [-10, -4, -3, 3, -1],\n [3, 2, -4, 7, 8]]\nB =\n[[-10, -10, 9, -9, 10, -6],\n [9, -3, -6, 7, -10, 3],\n [9, -2, -4, 8, 5, 7],\n [5, -7, 1, 4, -10, 7],\n [-1, 5, 1, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -10, -3, -2],\n [-1, -4, -10, 7],\n [-7, 3, 5, 1],\n [-5, -9, -4, 5]]\nB =\n[[6, 0, -4, -2, 4],\n [-8, 7, 0, -10, -5],\n [3, 7, 6, 4, -1],\n [9, -9, -7, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 1, -1, -2, -2],\n [9, -4, -6, -3, 1],\n [-5, 5, 5, -3, -1],\n [1, 9, 2, 9, 1]]\nB =\n[[-6, -3, -4, 0, 5],\n [2, -2, 5, 7, 0],\n [1, -9, 10, 10, 8],\n [9, 5, 7, 6, 2],\n [5, -6, -2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, -10, 6, 9, -6],\n [3, 10, 2, -10, 9, -7],\n [0, 0, -10, 9, -10, -1],\n [9, 2, -9, -1, -7, 6],\n [3, -6, 3, -5, 8, 10]]\nB =\n[[10, -3, 2, 4],\n [-4, -5, -5, 10],\n [6, -5, -8, 8],\n [8, 2, -4, 3],\n [-8, 1, 7, -10],\n [5, 9, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -8, 10, 3, -3],\n [10, -6, 7, 8, -4],\n [1, 10, -10, 0, -10],\n [9, 0, -4, 10, 2]]\nB =\n[[4, -9, -10, 2, 0, 7],\n [-7, 2, -7, -4, 2, -10],\n [-2, 4, -2, -8, -1, -7],\n [-3, 3, 6, 4, 8, 2],\n [2, 9, -2, 9, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 5, -3, 1],\n [-4, 2, -9, 9],\n [-10, -7, 5, 2],\n [0, 3, -3, 2]]\nB =\n[[-4, -1, -2, -4, -10],\n [5, -2, 2, -3, -5],\n [7, -2, 5, -6, 6],\n [-8, 1, -9, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, -5, 10, -3],\n [8, -2, -6, 5, -10],\n [-4, -1, -6, -8, -9],\n [-1, -8, 10, -7, 5],\n [-1, 8, -9, 1, -3],\n [6, -2, -7, -9, 2]]\nB =\n[[6, -9, 6, -9, -7, 2],\n [9, 7, -5, -9, -7, 3],\n [6, 7, 10, 1, 3, 5],\n [-5, 5, -8, 1, -5, 1],\n [-9, 0, 3, 6, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2548", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -5, 5, 8, -9],\n [-5, 7, -2, 9, 9],\n [-3, 4, 2, 10, 0],\n [-10, 1, -3, 9, -5]]\nB =\n[[-4, 10, 5, 6],\n [-6, 2, -4, -6],\n [0, 3, 9, 9],\n [-7, -8, 3, -6],\n [-3, 7, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1343", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 1, 1, 0, 7],\n [-10, 4, -3, -4, -5],\n [7, -5, 0, 6, 3],\n [1, 4, 9, -5, 6],\n [1, -10, -4, 10, -2],\n [2, -5, 1, -1, 8]]\nB =\n[[-4, 4, -5, 1, -3, 1],\n [-1, 5, 5, -10, 8, -6],\n [-3, 3, -8, -7, 6, -9],\n [5, 1, 1, -6, 10, 5],\n [10, 9, 1, 8, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 6, -8, 3, -1],\n [9, -6, -10, 5, 9],\n [7, -1, 6, 1, -3],\n [-1, 6, 7, 4, -6],\n [4, -9, 0, 5, 1],\n [1, -9, 10, 2, 2]]\nB =\n[[9, -7, 7, -9, -4],\n [4, 0, -9, -9, 6],\n [7, 9, 5, 10, 10],\n [-6, -2, -2, 7, -9],\n [0, 2, -8, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2303", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, -1, -4, 4],\n [-7, -3, -7, 7],\n [-8, 2, 0, 10],\n [-3, 1, -9, -6],\n [-6, 0, 6, -8],\n [-6, -8, 4, -2]]\nB =\n[[7, 4, 3, 8, 8, -7],\n [-2, 1, -2, 4, -3, 0],\n [-3, 9, 4, -6, -4, -10],\n [-5, 10, -3, -3, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -9, -3, 4, -10, -3],\n [-9, 1, 7, -4, 5, 4],\n [6, 1, 10, -6, 3, -10],\n [-4, 0, -1, -2, 3, -7]]\nB =\n[[7, 10, -6, 2, -10, 5],\n [-7, 0, 0, -1, 7, -7],\n [-6, -7, -1, 5, -7, -10],\n [7, -10, 2, 10, 1, -5],\n [-5, 5, 8, 4, 0, -10],\n [1, -7, -3, 5, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -10, 3, 3],\n [4, -9, 1, 8],\n [-6, 4, -4, 9],\n [9, -10, 0, 1],\n [-1, -4, 9, -10],\n [6, 5, 2, 0]]\nB =\n[[1, 9, -4, 3],\n [-2, 0, -10, 2],\n [-10, 4, -5, -6],\n [8, -9, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1492", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 9, 8, -5],\n [7, 5, -3, -6],\n [1, 8, 0, 3],\n [-1, 3, 7, -2],\n [-10, -3, 6, -2],\n [8, -3, 8, 4]]\nB =\n[[-10, -1, 1, 5, 8],\n [2, -6, -6, 8, -9],\n [-7, -4, 0, 10, 6],\n [7, 9, 5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -9, -4, 4],\n [5, 1, -5, 0],\n [-5, -7, -6, -3],\n [5, 3, 7, 9]]\nB =\n[[3, 7, 9, 10],\n [-3, -9, 1, -7],\n [-1, 2, -9, -10],\n [3, 8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -7, 0, 7, 8, -2],\n [-7, -9, -1, 0, 3, 7],\n [8, 1, -4, -6, -8, -3],\n [-7, 0, -5, 7, 7, -6]]\nB =\n[[-4, 8, -5, -5],\n [-10, 5, 2, -10],\n [0, 5, 9, 0],\n [4, -9, -10, 1],\n [2, 8, -6, -5],\n [1, -1, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, 4, 6, 0, -2],\n [7, -8, 1, -10, -10],\n [-1, -1, -7, 6, 9],\n [3, 4, 6, 8, 1]]\nB =\n[[9, 4, -10, -10],\n [3, 10, 1, -3],\n [1, -4, -4, -8],\n [0, -2, 1, 5],\n [0, 4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 0, 9, 2, -5],\n [6, -5, -7, -5, -9],\n [-9, 6, 6, -9, -8],\n [-7, 9, 2, 3, -7],\n [3, -7, -3, -4, -3],\n [1, -3, 10, 6, -3]]\nB =\n[[4, -9, 5, 6, -4, 2],\n [-8, 6, 6, -4, -6, -6],\n [10, 10, -7, 9, 5, -4],\n [-2, 0, -2, 8, -6, 6],\n [4, 4, -9, -9, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -5, 5, -1],\n [-8, -1, -10, 9],\n [4, 3, -8, -9],\n [-5, 0, -1, 4]]\nB =\n[[-4, -8, -6, -2],\n [10, -4, 4, -7],\n [-7, 6, -10, -1],\n [1, 4, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, 3, 6, 8],\n [-8, 3, -2, 2, -6],\n [9, -4, -5, 2, 10],\n [9, 7, -8, 9, -4],\n [0, 4, -2, 9, 9],\n [-8, 4, 8, 5, -9]]\nB =\n[[2, -8, 4, -4, 1],\n [0, -1, -3, -2, -5],\n [0, -4, -8, 6, -8],\n [-8, 2, 2, 2, -3],\n [9, -7, -5, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -9, -10, -6],\n [-1, 10, -10, 6],\n [4, -4, 9, 10],\n [-5, -8, 5, -4]]\nB =\n[[-5, -4, 9, 5, 0, 10],\n [8, 9, 4, 8, -3, 6],\n [-6, -6, -2, -3, 9, 3],\n [1, 7, 10, 4, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -4, 1, 10],\n [-4, -10, -8, -7],\n [4, 4, -8, -4],\n [-3, 0, 0, 5]]\nB =\n[[5, -2, 7, -2],\n [-3, 10, 6, -7],\n [3, 3, -1, -5],\n [-1, 1, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 8, 10, 8],\n [-6, 4, -3, 5],\n [1, 7, -7, 2],\n [-8, -6, -10, -6]]\nB =\n[[10, -9, 9, -9, -9],\n [6, 0, -8, 0, -10],\n [1, -2, 1, -7, -4],\n [-8, 10, 8, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 2, -4, -10],\n [-3, 5, -5, -3],\n [-10, 0, 6, 4],\n [-4, 1, 10, 10],\n [-1, -8, 0, 6]]\nB =\n[[1, 3, 7, -5, 10, 4],\n [2, -8, -5, 3, 2, -8],\n [-5, 1, 4, -2, 2, -1],\n [-6, -4, -5, -8, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1503", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -3, 1, 8, 1],\n [0, -5, -1, 2, 7],\n [-6, 1, -9, 10, 7],\n [-1, -6, 10, 8, 6],\n [9, 2, 7, 1, -6]]\nB =\n[[9, 6, 9, 3, 1],\n [-10, 9, 7, 4, 8],\n [-6, -1, -10, -8, -2],\n [-8, -3, -2, -10, -6],\n [-3, 0, 6, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1613", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 5, 3, 1, 8],\n [-4, 10, -10, -4, -6],\n [10, -7, 4, 5, 6],\n [-5, -4, 0, 0, 2],\n [5, 5, -2, -2, -9],\n [7, -9, 6, 5, 6]]\nB =\n[[-5, -4, -8, 7, -1, 10],\n [9, 3, 5, 5, 6, -6],\n [-5, 6, 10, -8, -7, 4],\n [1, -1, 1, 9, 5, -1],\n [9, -8, 6, -1, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 4, 4, -10],\n [-9, 7, 10, -7],\n [2, -10, 2, -1],\n [4, 3, 6, 9],\n [-10, -7, -5, 7],\n [5, 5, 2, -1]]\nB =\n[[-5, -6, -7, -5, -7, 8],\n [-3, -2, 3, -7, 10, 4],\n [3, -4, -5, 3, -2, 7],\n [9, 10, -3, -5, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -3, 4, -4],\n [-9, -5, 4, 4],\n [-3, 9, 7, 4],\n [-2, 9, -8, -2],\n [1, -4, 0, 4]]\nB =\n[[2, -3, -5, 10, 7, 5],\n [-10, -8, -1, 0, 2, 2],\n [10, -1, 6, -9, -6, -5],\n [5, -3, -7, 6, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -10, -9, -1],\n [-5, -6, 2, -3],\n [-8, -8, 9, 10],\n [-4, 1, 4, 2],\n [9, 7, -8, -8],\n [6, -4, 6, 9]]\nB =\n[[3, -4, -4, -1, 2, 9],\n [-10, -6, 4, -5, 9, -4],\n [8, 7, -10, -2, 1, 8],\n [5, -5, 6, 7, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, 4, 2, 0],\n [-2, -5, 8, -10, -4],\n [-7, 5, 8, 1, 1],\n [1, 2, -3, 8, 6],\n [-3, -7, -7, 6, -9]]\nB =\n[[0, -7, -6, -4, -9, 5],\n [-5, -10, 0, -8, -10, 3],\n [9, 0, 5, 2, 1, -1],\n [-1, 2, -2, 0, -7, -4],\n [-6, -2, -3, 5, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, 6, -3, -9],\n [4, 3, -8, 10, 3],\n [-1, 0, -4, 3, 3],\n [1, 4, -3, -1, 4]]\nB =\n[[4, 10, -2, -4, -5],\n [2, -10, -6, 2, 8],\n [2, -2, -3, 9, 3],\n [-4, -2, -10, 10, -3],\n [-6, 6, -3, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-7, -10, -3, -10, 8, 3],\n [6, -4, -10, -10, 6, 1],\n [6, -10, -10, -4, -8, 8],\n [7, 0, -6, 4, 10, -10],\n [-4, -5, 8, 0, 10, -10]]\nB =\n[[-8, -2, 5, -2, -7],\n [-5, -5, -8, -3, 2],\n [-8, 3, 7, 2, -8],\n [4, 7, -2, -8, 3],\n [-6, 1, -2, 3, -8],\n [-6, 6, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 6, -4, -10, 5, -3],\n [6, 3, 7, -6, -3, -4],\n [-9, -5, 5, 7, -7, -4],\n [-3, 10, 10, 3, 4, 6]]\nB =\n[[10, 10, -8, 6, 7, -10],\n [-6, 6, -5, 0, 4, 9],\n [-6, -3, 6, -4, 7, 8],\n [-10, -7, -7, 2, -4, 6],\n [-3, 0, -10, 3, 3, -9],\n [-9, 8, 5, 3, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2088", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -8, -5, 5, -6, -4],\n [-3, 8, 0, 9, -7, -9],\n [-10, 8, -6, -3, -10, 0],\n [0, -6, 8, -2, 2, -7]]\nB =\n[[-7, -10, -2, 0, -7],\n [-10, 10, 0, 8, -9],\n [1, -4, 9, 4, -5],\n [-2, -8, 7, -10, -5],\n [10, 8, 10, 8, -9],\n [1, 1, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1692", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-5, 3, 10, -4, -10, -5],\n [-8, -6, 0, 5, 6, 1],\n [-9, -9, 0, 0, -9, -9],\n [-8, 0, -8, 6, 0, 7],\n [-8, -1, 4, 5, -8, -1],\n [1, 4, 2, 3, 9, -9]]\nB =\n[[9, 1, 3, 1, -4],\n [3, -9, 10, -4, 10],\n [-2, -1, 0, -7, -6],\n [5, 9, -7, 7, 10],\n [4, 4, -8, -8, 9],\n [10, -7, 3, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 4, 6, -2],\n [10, 7, -7, -2],\n [1, -10, 1, -7],\n [9, 9, 6, 6],\n [-1, -3, 5, 3],\n [1, -3, -2, -2]]\nB =\n[[6, -9, -4, -4, -3, -3],\n [8, -7, 1, 8, -4, -2],\n [-8, 4, -5, -6, -10, 6],\n [2, -1, 5, -5, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1797", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, -3, -3, 4],\n [5, -8, -3, -8],\n [-7, 1, 6, -9],\n [-2, 10, -4, 7],\n [-5, -3, -6, 4]]\nB =\n[[4, -10, -6, 9, -4],\n [-9, -9, 6, 0, -2],\n [-10, -2, 4, 7, 4],\n [-3, -10, 7, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -6, -3, 5, -8],\n [-8, 9, 6, 2, -4],\n [-5, 4, -10, -1, -10],\n [1, -5, 1, -3, 6],\n [2, -5, 0, 9, 10],\n [-5, -4, -3, -2, -5]]\nB =\n[[-6, -8, -10, -8, 1],\n [3, 10, 7, 9, -1],\n [6, 1, -7, 2, 6],\n [9, 7, -6, 0, 0],\n [0, 5, 4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -9, 5, -3, 6, -5],\n [-7, 1, 5, -4, -3, -10],\n [-4, 2, 9, 7, -5, 0],\n [-3, -4, -3, -6, 8, 10]]\nB =\n[[3, 10, -3, -8],\n [6, 1, 2, -10],\n [10, 9, 4, 5],\n [-4, -3, 0, 0],\n [-4, 4, -5, 0],\n [6, 2, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[2, 9, -7, 6],\n [0, -5, 3, 10],\n [4, 7, -4, 3],\n [6, 2, 4, 2],\n [-10, -2, -2, 2]]\nB =\n[[4, 1, -5, 4, 10, -4],\n [-4, 0, 6, -1, -7, -6],\n [-8, -6, 10, 9, -5, 3],\n [-9, -10, 4, -2, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -5, -4, -3, 2],\n [1, 0, 10, -6, 9],\n [4, 4, -3, 9, 3],\n [0, 0, -2, -3, -10],\n [1, 2, 8, -10, -9]]\nB =\n[[7, 8, -4, -2],\n [-1, 0, 5, 10],\n [4, -5, 0, -7],\n [9, 5, -5, 8],\n [-3, 0, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -7, 6, 5],\n [-8, 4, -2, 9],\n [-5, -3, 3, 4],\n [9, -7, 1, 2]]\nB =\n[[-9, -6, -7, -5],\n [-8, 9, 2, 7],\n [8, -1, 4, 10],\n [-7, 5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-9, -6, -10, -10, 10, -1],\n [0, 10, -1, -6, 0, -10],\n [8, -6, -7, 6, -7, -1],\n [-5, 9, 10, -6, -10, 4],\n [10, 3, 0, -3, -7, 1]]\nB =\n[[2, 10, -6, -9, 10, -3],\n [8, -1, 3, 0, 9, 9],\n [10, 0, -7, 1, -9, -3],\n [-8, 6, -10, -1, -6, 8],\n [3, 3, 7, 8, 3, 1],\n [-1, -5, -3, -4, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 1, -5, -8, 4],\n [-5, 4, 4, -9, -9],\n [4, -9, 3, 8, 4],\n [7, -6, -3, 5, -10],\n [-9, -10, -2, 1, -2],\n [3, -3, -10, 4, -5]]\nB =\n[[6, 8, -5, 6],\n [-3, 1, -1, 4],\n [4, -5, -7, 2],\n [-8, 0, 9, 6],\n [-6, 0, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -1, -1, -5],\n [10, -2, 3, 1],\n [-10, -3, -9, 3],\n [8, 2, -7, 1],\n [4, 9, -1, -5]]\nB =\n[[-10, 7, 5, 0, -3, -1],\n [-6, -9, 7, 9, 8, 10],\n [10, 10, -9, -10, -5, -3],\n [-9, -5, -2, 8, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1683", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 5, 5, 8, -6],\n [-5, -8, 0, -2, -4],\n [4, 8, 1, -5, -5],\n [10, -1, -10, 0, -4],\n [1, -3, 6, -4, 10],\n [1, 4, 4, 3, -5]]\nB =\n[[-5, 4, -2, -7, 2],\n [-3, 5, 3, -1, 7],\n [-3, -7, -9, -1, -3],\n [-3, -3, -6, -7, -9],\n [9, 4, -5, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-447", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 3, 0, -4, -10, -5],\n [1, 0, -10, 1, 1, 8],\n [-1, 9, 10, -7, 10, 4],\n [-5, -10, 9, -2, -10, 9],\n [-10, -3, -8, -6, 1, -9]]\nB =\n[[-8, -1, 1, -3, -4, 6],\n [-10, 10, -5, 10, -10, 5],\n [0, 9, 10, -6, 4, -7],\n [9, -9, 8, -7, 3, 9],\n [7, -10, 10, 3, -10, -6],\n [3, 0, -10, -9, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 6, -3, -8],\n [8, 3, -7, -6],\n [-8, 4, -3, -9],\n [-3, 5, -10, -7],\n [-4, -4, 4, -10],\n [7, 9, -4, 9]]\nB =\n[[10, -4, -6, -2, -10],\n [5, -2, -7, 1, 0],\n [-4, -7, -2, 9, -4],\n [-1, 1, 0, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1976", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 6, -8, -10, 5],\n [2, -9, 3, -9, 9],\n [-9, 5, -6, -9, 1],\n [-3, -7, -6, -5, 7],\n [9, -3, 6, 7, -8],\n [1, -5, 2, -9, 9]]\nB =\n[[10, 10, 0, 2, -2, 8],\n [0, -9, 7, -8, 1, -8],\n [-4, -1, -2, 7, 8, 7],\n [-10, -6, -4, -5, 6, 2],\n [-2, -6, -9, 2, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[4, -2, 6, 6, 9, 9],\n [-8, -3, -10, 3, -8, -9],\n [-9, -6, 8, -10, -9, 1],\n [-4, -5, -8, 6, -5, 0]]\nB =\n[[-5, -3, 4, 0, 3, 9],\n [-6, -1, -1, 8, 7, -2],\n [1, -6, 10, -9, 5, -9],\n [-1, 1, -4, 10, 3, 5],\n [-6, 4, 9, -7, 1, -3],\n [-5, -10, 10, -8, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, -4, 0],\n [-5, -6, 6, 1],\n [-8, 3, 9, -5],\n [-5, 3, -1, 3],\n [1, 8, -3, 3]]\nB =\n[[-10, -10, 9, 4, 1, 3],\n [-2, -7, 0, 8, 3, -6],\n [8, -9, 8, -5, 2, 4],\n [4, 8, 7, 1, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 0, 9, -5],\n [4, -2, -10, 10],\n [8, 5, 1, -1],\n [5, 7, -3, 7],\n [-3, -6, 5, -8]]\nB =\n[[-10, -3, 8, 0],\n [2, -9, -7, 0],\n [-4, -7, 4, 7],\n [-3, 9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1257", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-5, -4, -7, 6, -6],\n [-9, -7, 8, -5, -9],\n [6, -7, -9, -6, 7],\n [10, -8, 1, -5, -4],\n [-1, -3, 0, -7, 0]]\nB =\n[[2, 6, 4, 1, 6],\n [1, 10, -2, -7, -8],\n [-6, 8, -3, -6, -7],\n [-8, -9, 10, -10, 1],\n [9, 0, -2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -7, -10, 7, 2],\n [-2, -6, 7, -3, -5],\n [1, 6, 9, 2, -2],\n [10, -8, 8, 0, 9],\n [10, -1, 7, -7, -2]]\nB =\n[[-8, 1, -3, -3, 7, -5],\n [-3, 7, -7, 8, -9, -7],\n [-2, 5, -7, -5, 7, 6],\n [-5, 2, 2, -5, 3, -5],\n [-5, 3, 6, 3, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2069", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-5, 3, 6, -1],\n [-7, -8, 7, 4],\n [10, 7, -7, -8],\n [-10, 4, -7, -8],\n [-5, -3, 6, -9],\n [8, 6, -6, 9]]\nB =\n[[-1, 1, 5, 0, 6],\n [-3, 10, 8, -7, -5],\n [5, -10, 8, 8, 10],\n [8, -10, -6, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[-10, 1, 6, 7],\n [5, -4, 7, -10],\n [-5, 1, 0, 0],\n [5, -10, 6, -4],\n [-2, 8, 9, -7]]\nB =\n[[-3, 3, 2, 2, -7, -10],\n [-9, -7, 8, 9, -3, 1],\n [9, -9, 9, 4, 9, -10],\n [2, 4, -6, -5, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[3, 7, 3, -7, -8, -3],\n [5, 3, -3, 7, -6, -2],\n [10, -4, -6, -4, 7, -1],\n [6, 7, 0, -9, 8, -9]]\nB =\n[[6, 4, -6, 0, 1],\n [-8, -9, -9, -6, -9],\n [-3, -8, -2, -6, -8],\n [-6, 6, 0, -8, 9],\n [9, 8, -1, 4, 6],\n [0, 10, 6, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -8, 3, 0, 1],\n [-6, 2, -3, 2, -3],\n [-1, 6, 6, 5, 9],\n [9, 2, 0, 10, -9]]\nB =\n[[2, -2, -6, -9, 4, 3],\n [-2, 2, -1, -4, 7, 6],\n [-5, -1, -10, 2, -4, -1],\n [8, 0, 8, -8, -6, 3],\n [-6, -8, -5, 8, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 2, -10, -1],\n [3, 8, 3, 2],\n [0, 4, 3, -1],\n [5, 1, 7, -10],\n [-5, 0, 1, -7],\n [5, -8, 3, 0]]\nB =\n[[-1, 5, 4, 6, 9, 6],\n [-9, -4, 0, 3, 6, 1],\n [-2, 2, 4, -2, -1, 4],\n [-4, 4, 1, -10, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 8, 5, -2],\n [7, -5, 1, 2],\n [-9, 10, -9, -10],\n [2, 5, -2, -10],\n [-10, 1, 6, 7],\n [10, 0, -10, 10]]\nB =\n[[8, -4, -7, -3, -3, -6],\n [10, -10, 0, -6, -9, -2],\n [8, -6, -10, 1, 6, -8],\n [1, 10, 7, -10, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 9, -8],\n [6, 0, 2, 4],\n [-4, -10, 6, 10],\n [6, 3, 4, 8],\n [-1, 7, -2, -2],\n [-1, -9, -2, -5]]\nB =\n[[5, -6, 7, 1],\n [7, 2, -8, 1],\n [1, -4, 7, 0],\n [-10, 9, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -4, -4, -6, 2],\n [8, 2, 2, -4, -6],\n [10, 9, 3, 4, 1],\n [-9, -5, 8, -8, 9],\n [-6, -5, 0, -10, -2]]\nB =\n[[-4, -5, 5, 9],\n [10, 1, -2, 0],\n [5, 10, 2, 0],\n [1, -7, 9, 3],\n [-1, 10, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[3, 9, 0, -1, -6],\n [4, 4, -8, 3, 0],\n [2, -10, 6, 3, 0],\n [-8, -7, -2, 5, -8],\n [-3, 1, -2, 6, -4]]\nB =\n[[-9, 0, 0, 1, -4, -5],\n [10, -2, 7, 10, -3, 9],\n [-7, 0, 2, -1, 7, 3],\n [-9, -4, 8, 0, 5, -3],\n [5, -7, 7, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, 2, 2, -2, 3],\n [-5, 8, -4, 7, -8, -7],\n [-4, -4, 0, -9, -5, 5],\n [-8, 4, -7, 8, -2, 10],\n [9, -9, -7, 7, 6, -10],\n [5, -6, -1, -4, 1, -8]]\nB =\n[[-4, -6, -6, -4, -10],\n [-8, -3, 7, -4, -4],\n [-8, -8, -2, -7, -8],\n [-5, -9, -3, -7, -5],\n [-6, -10, 4, 0, 6],\n [-1, 4, 8, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[0, -9, 8, -4, -7, 0],\n [-10, -2, -6, 8, -10, 8],\n [7, 0, 4, -2, -1, -1],\n [-4, -10, 7, -2, 0, 10],\n [1, -8, -7, -4, 5, -7]]\nB =\n[[1, -2, -10, 6],\n [-1, 4, 10, 3],\n [-8, -2, 9, 5],\n [0, 9, 3, 7],\n [4, -10, 3, 9],\n [5, 2, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-10, -8, 5, -1, 8, -10],\n [-8, -2, 5, -10, -1, 5],\n [-1, 3, -5, -5, -7, 6],\n [-10, -9, -5, 8, 6, 7]]\nB =\n[[2, -8, 5, -6],\n [3, -5, -8, 1],\n [-6, 1, -4, 4],\n [-10, 0, 3, 7],\n [-6, -4, 3, 0],\n [-7, 8, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, 2, -8],\n [2, 5, -9, -2],\n [-4, -6, 3, -3],\n [1, 1, -2, -10],\n [1, -3, 10, 6],\n [3, 1, -9, -3]]\nB =\n[[-2, 5, -1, -3],\n [8, -1, 2, 9],\n [6, 6, 5, -6],\n [-10, -10, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -9, 1, 8, 8],\n [9, -8, -2, -10, -1],\n [6, -7, 5, 6, -10],\n [7, -10, 5, -7, 3],\n [9, -3, -3, 10, -3]]\nB =\n[[-2, -3, -7, 10, 4, 5],\n [0, -10, -7, -2, -4, -5],\n [-5, -5, 7, -1, 2, -9],\n [-7, 6, -3, 1, -10, 7],\n [6, 7, 10, 4, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -9, 8, 3, 3, -4],\n [1, -1, 1, 6, 5, 10],\n [-6, -2, -10, -4, -7, -8],\n [10, -4, -5, 0, 3, -4],\n [2, -6, 8, 6, -6, -7]]\nB =\n[[-10, -2, 3, 10],\n [-10, 2, -6, 4],\n [10, 3, 10, -4],\n [-2, -1, -6, 5],\n [-5, 0, 6, -7],\n [3, -8, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -6, -4, 5, -7],\n [6, -6, 4, 2, 10],\n [-3, -10, -5, 3, 5],\n [-4, -10, -2, 1, 9]]\nB =\n[[-6, -8, 0, -3],\n [-9, 1, 10, 9],\n [7, 9, 9, -5],\n [5, 3, 3, 3],\n [9, 1, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -4, -6, 6, -9],\n [-3, 7, -9, 2, 10],\n [5, -8, -3, -10, 0],\n [7, -2, 4, -7, -8],\n [-5, 4, 9, 8, -7],\n [-7, -9, -5, 3, -4]]\nB =\n[[4, 2, -8, 10, -6, -10],\n [4, 6, -2, -3, 3, 8],\n [3, 1, 1, 1, -6, 0],\n [7, 2, -3, -9, -1, 7],\n [-3, -1, 7, 7, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, -2, 4, 10, -5],\n [-10, -6, 6, -1, -4, 10],\n [4, 5, -9, -1, -1, -7],\n [-2, -5, 8, 9, -3, -5],\n [3, 8, 4, -5, -6, 4]]\nB =\n[[6, -8, 6, -1],\n [-1, -4, 2, 1],\n [-10, -10, 1, -7],\n [-4, 10, -10, -4],\n [5, -8, -9, -9],\n [3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[6, 9, 2, 1],\n [-5, 2, 8, -4],\n [-8, 8, -4, -6],\n [7, -9, -3, -7],\n [0, -3, 4, 4],\n [-9, 10, -1, 4]]\nB =\n[[6, 2, 3, 7, -3, -9],\n [-6, 8, 8, -9, 3, -9],\n [8, 1, 9, -8, 8, 6],\n [0, 7, 9, -4, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, -3, 0, -1, 9],\n [-8, -8, -4, -4, 7, 10],\n [4, 0, 7, -10, 3, 8],\n [-5, 0, 9, 2, 0, -7],\n [6, -7, 7, 3, 7, 2],\n [4, 1, 8, 1, -2, -10]]\nB =\n[[1, -1, 10, 4],\n [-2, -1, -1, -4],\n [10, 5, -9, 5],\n [5, 4, -9, 0],\n [6, 4, 6, 5],\n [7, 7, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 9, -2, 10, -2],\n [7, 10, -2, -2, -8, -10],\n [2, 1, -9, -5, -7, -4],\n [-1, -5, 4, -10, -4, -2]]\nB =\n[[8, 1, -7, 8, -5, 3],\n [10, -6, -4, -2, 6, 5],\n [-9, -10, 9, -7, 4, 10],\n [-4, 0, 9, 8, -2, 3],\n [-9, -8, 1, -1, -7, 6],\n [4, 10, 1, -2, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 8, -2, -2],\n [5, -7, 10, -8],\n [-6, -3, 4, -7],\n [10, 0, 8, -1],\n [1, -10, -1, 8],\n [-1, -2, -5, -7]]\nB =\n[[-4, 2, -5, 7],\n [9, -9, 0, -9],\n [10, 8, -5, -6],\n [10, 3, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -1, 1, -10],\n [3, 3, -2, -10],\n [2, -7, 0, 1],\n [-1, -2, -1, -8],\n [2, 10, -5, -3],\n [-1, -1, 7, 8]]\nB =\n[[-1, 7, 10, -8, -5, -9],\n [-6, 2, 4, 0, 4, 1],\n [-7, -2, -5, -10, 0, 0],\n [3, 9, 4, 6, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 7, 3, -8, 5],\n [9, 8, 0, 3, 3],\n [-2, 6, -10, 0, 1],\n [3, -2, 6, 2, 5],\n [-7, -2, -8, -1, 0]]\nB =\n[[-5, 7, 0, 4, 8],\n [10, -6, 1, -2, 7],\n [7, -2, -3, -10, 7],\n [5, -7, -7, 8, 9],\n [1, -9, -3, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[8, -5, 5, -10, 4, 10],\n [-10, -3, -3, 10, 7, -2],\n [-6, -8, -9, 9, -10, -3],\n [-9, 3, -2, 5, -1, -8]]\nB =\n[[2, -5, -9, 6],\n [6, 7, 10, -6],\n [-5, -1, 6, -3],\n [-2, -4, 6, -6],\n [-3, 8, 8, 5],\n [5, 3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, 10, 9, 10, 7],\n [-7, -2, -4, 4, 3],\n [5, -3, -3, 4, 3],\n [7, -3, 9, -7, 3],\n [1, -1, 4, -3, -2]]\nB =\n[[8, -7, 9, -2, -5],\n [5, 6, 9, 3, 8],\n [-4, -6, 10, 8, 7],\n [8, -3, 5, 9, 1],\n [-10, 8, 10, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -3, -4, -6, -3, -7],\n [2, 2, -3, -5, 5, 4],\n [5, -5, 0, 10, 5, -3],\n [1, 2, 7, 0, 10, 10]]\nB =\n[[-1, -6, 10, -1, 4],\n [-6, 2, -2, 10, -5],\n [-4, 10, -3, 7, 8],\n [-3, 10, -5, 6, 2],\n [6, 6, -5, 2, -7],\n [8, -6, -5, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[5, 10, 9, -7, 7],\n [-7, -10, -10, 7, -3],\n [5, -10, 3, 0, -8],\n [-1, 10, -6, -4, 5],\n [1, 4, 9, 2, 6],\n [2, 7, 6, 5, 2]]\nB =\n[[-7, -6, 3, 9, 5, -10],\n [3, -9, -5, -8, 1, 6],\n [-10, 8, -9, 3, 8, -5],\n [-1, 6, -10, 2, 3, 1],\n [9, 4, 6, 6, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, -8, -5],\n [7, -9, -4, 2],\n [-3, 6, -6, 2],\n [6, 3, -1, -4],\n [-6, 6, -7, 3],\n [10, -7, -10, 6]]\nB =\n[[1, -6, 0, -4],\n [0, -8, -1, -10],\n [10, 3, -5, -4],\n [-5, -10, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, -7, 3, -3],\n [-4, 3, 2, -9, -4],\n [-4, -2, -2, 2, -3],\n [-1, 1, 9, 7, 3],\n [0, -6, 8, -8, 6]]\nB =\n[[-7, -4, -8, -1, 9, -2],\n [-8, 1, -1, 9, -3, -9],\n [10, 9, 5, 5, 9, 2],\n [0, 5, -8, -7, 0, 2],\n [1, 10, 7, 4, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 3, 1, -2, 6, -8],\n [2, 3, -8, -10, -10, 8],\n [5, -3, 9, 2, -6, -2],\n [-1, -6, -1, 7, -4, 9],\n [-6, 10, -6, 1, -9, -1],\n [4, -2, 4, -1, 1, 1]]\nB =\n[[-8, 2, 0, 5, -7],\n [-6, 5, 9, -10, -4],\n [2, 6, -10, 5, -9],\n [-8, -9, 7, -4, 5],\n [2, -1, 7, 5, 0],\n [-10, 1, -10, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, -9, 0, -10],\n [-3, -6, -4, 5],\n [9, -7, 8, -3],\n [-2, -2, -8, 7],\n [8, 4, 0, 5],\n [1, 2, -10, 7]]\nB =\n[[0, -9, 9, 5],\n [-10, -9, 3, -9],\n [0, 1, -5, 0],\n [2, -9, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -1, -8, -9, 10],\n [7, 8, 6, 10, -2],\n [-5, -10, 7, -9, -3],\n [-3, 2, -5, -8, -6]]\nB =\n[[9, 4, 8, 9, -3],\n [5, 4, 3, 4, -5],\n [9, -10, -2, 9, 3],\n [3, -2, -7, 1, 6],\n [0, 3, -2, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1489", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, -2, 6, -6, -7],\n [9, -8, 7, -9, 0, -2],\n [3, -5, -4, -6, -5, 8],\n [-9, -8, 10, 0, 7, -4],\n [-5, 0, -6, -5, -2, -7],\n [-6, 9, -1, -4, 0, -6]]\nB =\n[[9, -3, -4, 6],\n [-10, 6, 6, -7],\n [-1, 7, 1, 8],\n [6, -9, -4, -5],\n [4, 6, 10, -8],\n [-8, 9, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 8, 10, 10, 0, 3],\n [-6, 9, -7, -6, 8, -10],\n [9, 3, -3, -10, -8, 9],\n [-10, 6, 8, 6, -4, 7],\n [6, -8, -9, 8, 5, -7],\n [-9, 1, -3, 6, -6, -1]]\nB =\n[[4, 5, -6, 10, -3],\n [-7, 4, 7, -10, -2],\n [4, -2, 5, -3, -4],\n [-9, 0, 4, 9, 8],\n [0, -10, 9, -10, -1],\n [6, -5, 1, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[6, 5, 7, -8, -6],\n [-2, -7, 2, -5, 6],\n [4, -2, 8, -1, 1],\n [8, -5, 3, -10, 2],\n [-4, 1, -7, -10, 5]]\nB =\n[[8, 7, 5, 3, 1],\n [-9, 6, -5, 8, 1],\n [-4, -6, 6, -8, -5],\n [0, 1, -6, -2, -1],\n [3, 9, 10, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 3, 3, -3, -4],\n [-10, -3, -7, 3, 8],\n [-3, 7, -6, 3, 6],\n [9, 4, 9, 9, 3]]\nB =\n[[3, 0, -1, 8, 4],\n [-7, 1, -8, 8, -1],\n [-10, 3, -3, 5, 6],\n [6, 4, 10, -8, 6],\n [5, 9, 0, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1345", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 4, 5, -1, -5, 4],\n [-7, 4, 2, 4, -10, -2],\n [5, 8, -3, -7, 2, 5],\n [-6, -2, 0, 8, 5, 2],\n [4, 3, 6, 10, -10, 0],\n [-6, -5, 2, -4, 0, -7]]\nB =\n[[-10, -1, -1, -5],\n [8, -8, 2, -8],\n [-5, 4, -4, 6],\n [-8, -4, -10, 8],\n [6, 8, 8, 3],\n [-3, 1, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-516", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -9, 3, 8, -8],\n [5, 8, 7, 2, 10, 2],\n [-10, -9, 9, -6, -8, -7],\n [0, -2, 10, 6, 4, 9],\n [5, -5, 10, 10, 4, 0]]\nB =\n[[-7, -2, 4, 9, -5],\n [8, 10, 6, 5, -1],\n [-8, 10, 9, 10, -10],\n [-8, -9, 5, 8, 0],\n [5, 0, 6, 6, -9],\n [7, 6, 7, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -7, -10, 10, -9, 3],\n [-8, -10, -3, 7, -6, -7],\n [-1, 6, 1, 3, -4, 4],\n [-9, 9, 8, 3, 9, 6],\n [-5, 10, 2, -5, -7, 2],\n [1, -8, 1, 3, 7, -5]]\nB =\n[[6, 9, 9, 2, -9],\n [3, -9, 7, 0, -9],\n [-3, 3, 10, -7, 6],\n [6, 6, 9, 1, 9],\n [-6, -3, -1, 3, 0],\n [-4, 10, -10, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -3, 8, -10, 3, 8],\n [9, -4, 6, -3, 8, -5],\n [5, -9, -4, 1, 0, 0],\n [-7, -4, 1, 6, 1, -9],\n [0, -9, 3, -9, -9, -9],\n [-3, 10, -10, -7, 6, -1]]\nB =\n[[8, 0, 0, 10, -10, 9],\n [9, 9, 4, 8, -5, 10],\n [7, 2, 5, 10, -10, -8],\n [-2, 1, 5, 5, 4, 5],\n [-2, 5, 6, -6, 5, 0],\n [3, -8, 10, 10, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2719", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 1, -5, -2],\n [-1, -7, 9, -9],\n [4, 0, -7, 6],\n [7, -7, 0, 4],\n [-8, -1, 5, 5],\n [-3, 8, 7, -8]]\nB =\n[[8, 3, 9, -4, 7],\n [-8, 9, -8, -9, -3],\n [10, 10, 10, 1, -1],\n [2, -2, 1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 2, 8, 2, -6, -8],\n [-9, 7, -8, -6, -1, 2],\n [-5, 3, -3, 10, -1, -6],\n [-10, 0, 6, 3, 0, -6],\n [-4, 2, 4, 2, -3, 1]]\nB =\n[[-8, 8, 10, -9, -9],\n [2, -8, -2, -3, 4],\n [9, 1, -5, -10, 2],\n [3, 10, 10, -4, -2],\n [-3, 10, -1, 9, -7],\n [7, -8, 6, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 2, 6, 9, 4],\n [-2, -1, -7, 10, 6],\n [4, -3, -6, 1, 5],\n [4, -2, -1, -9, 7]]\nB =\n[[-5, -9, 10, 10],\n [10, 4, -5, 4],\n [8, 4, -7, -2],\n [8, 10, 9, 10],\n [6, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 2, -9, 8, 8],\n [3, -8, -6, -8, -3],\n [-10, -7, 7, 3, 8],\n [-4, 8, -8, -6, -2]]\nB =\n[[-1, 3, 1, -6],\n [-6, -8, -3, 10],\n [8, -1, 4, 0],\n [5, 5, -5, -6],\n [-7, -10, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, 6, 8, -8, 2],\n [3, 10, 10, -4, 4, -5],\n [5, -3, -10, 8, -8, -5],\n [2, -8, 3, -9, 8, -3],\n [-1, 5, -7, 10, -8, -1],\n [-5, 5, 5, 4, 2, -4]]\nB =\n[[3, 3, -2, 6],\n [-3, -7, -8, 8],\n [-9, 2, 0, -7],\n [7, 1, 8, -7],\n [5, -2, 6, 9],\n [-3, -9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 1, -2, 10, -5],\n [-3, 4, 8, 2, -1],\n [-9, 4, -4, 1, 4],\n [-5, -2, -3, 1, 6],\n [0, 6, -3, -10, 10]]\nB =\n[[-3, -2, 10, -4],\n [-3, -2, 0, -5],\n [-9, 5, 10, -8],\n [2, 4, 1, 3],\n [5, -2, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -5, 10, 9, -2, -6],\n [7, 8, -5, -7, 7, -4],\n [3, -10, 7, 9, 7, 10],\n [-3, -2, 10, -5, 8, -3],\n [-2, -8, 6, -9, -6, -10],\n [-8, 3, -2, 7, 9, -1]]\nB =\n[[3, 0, -7, 7],\n [-10, 4, -7, -4],\n [4, 3, -5, -8],\n [3, 4, 10, 7],\n [-10, -1, -2, 8],\n [-4, 2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 8, 1],\n [-4, 8, 6, -1],\n [-10, 8, 2, 6],\n [-8, -3, 7, -5]]\nB =\n[[7, 10, 7, -3, 3, 10],\n [1, -10, -2, 8, 2, 9],\n [8, -4, -1, 9, 2, -10],\n [-8, -5, -6, 6, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-629", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -3, -10, -7],\n [8, 1, 7, -5],\n [4, 2, 0, -4],\n [7, 2, 5, -7],\n [-1, -8, -8, 7],\n [9, -4, 3, 7]]\nB =\n[[-8, 9, 7, 6, -6, 3],\n [-9, -9, -2, -10, 4, 4],\n [1, 3, 10, 4, -4, 7],\n [8, -3, 10, -3, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -3, 6, 3, 7, -1],\n [-7, 1, 7, -1, -1, -7],\n [2, 7, 2, 1, 4, -2],\n [6, -2, 6, -1, 5, 8],\n [-9, -2, -3, 9, 10, 7]]\nB =\n[[-9, 1, 6, -3, 8, -1],\n [-3, 9, -4, -7, 3, -1],\n [-9, -2, 10, 8, -2, -6],\n [5, 6, 6, 4, -6, -5],\n [5, 7, 4, 6, 8, 3],\n [-4, 3, -7, 1, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "922", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -5, -3, -8],\n [2, 4, -5, -7],\n [7, -7, -1, -8],\n [-6, -1, 10, -4]]\nB =\n[[-1, 2, 4, 3],\n [-3, -7, 8, 1],\n [1, 5, 10, 10],\n [2, 4, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 0, 0, 7, -3, -7],\n [-4, 2, 0, -5, -10, 0],\n [-5, -4, -7, -4, 1, -9],\n [1, -10, 0, 8, 10, -10]]\nB =\n[[-4, 3, 2, -9],\n [-10, -9, 8, -5],\n [3, 9, 1, 3],\n [-5, 10, 7, -7],\n [9, 7, 4, -3],\n [6, 0, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 4, -6, -2],\n [7, 10, -4, 10],\n [-4, 9, -7, 3],\n [-4, -2, -1, 3],\n [9, -4, -10, 7]]\nB =\n[[-6, 7, -4, -3, -1, 0],\n [-1, -5, -6, -1, -6, 3],\n [9, -6, 4, -10, -1, -2],\n [3, -8, 10, 8, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 3, 2, 2, 2, 9],\n [6, 5, -6, 0, 3, 8],\n [-5, -8, -5, -10, -7, 0],\n [-7, 0, 5, -10, 10, 0]]\nB =\n[[0, 5, 8, -6],\n [5, -4, 9, 5],\n [2, -1, 5, -6],\n [-1, 10, 1, -3],\n [-3, 9, 7, 5],\n [-8, 9, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, -7, 3],\n [8, -9, -1, -1],\n [7, 7, -10, -5],\n [-7, 1, 0, 2]]\nB =\n[[2, 4, 4, 8, -3, -6],\n [-9, -8, -5, 0, 7, 3],\n [-4, -8, 10, 4, -7, 5],\n [-1, 7, -4, 9, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 7, 3, -1],\n [-6, -8, 2, 4],\n [-1, -1, -3, 8],\n [-1, -10, -10, -8]]\nB =\n[[4, 5, 6, 5, -1, -7],\n [-8, -9, 4, -5, 4, -1],\n [-2, 2, -6, 8, -5, -6],\n [4, 8, -4, 0, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, 1, 10],\n [6, 0, 6, -8],\n [3, 1, -9, 3],\n [10, 2, -4, 2],\n [-5, -6, 6, 10]]\nB =\n[[-9, 1, 9, 9, -3],\n [-2, -7, 8, -2, -10],\n [7, 8, -8, 9, 2],\n [2, -3, -1, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1670", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -9, 2, -7],\n [10, 8, 3, 2],\n [-9, -7, -2, -3],\n [7, 8, -10, -8],\n [1, 4, -3, -7]]\nB =\n[[-10, 6, -4, -8, -1],\n [1, -6, -3, 7, -7],\n [8, -3, -5, -3, 4],\n [4, -2, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-3, -2, -9, 7, 6, -10],\n [-5, -1, 4, -2, -10, -9],\n [8, -10, 9, -1, 4, 3],\n [0, 6, -10, -7, -4, 10]]\nB =\n[[0, 5, 9, 1],\n [-2, -4, 1, 1],\n [-9, 3, -8, 6],\n [-3, 9, -7, 2],\n [-6, -9, 2, -1],\n [-4, -1, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -8, -9, -8],\n [-2, -4, 2, -7],\n [-2, -3, -4, 9],\n [-5, -2, -8, 3],\n [2, -1, -1, -2],\n [-1, 6, 6, 6]]\nB =\n[[7, 7, 7, -3, 9, 1],\n [10, -9, 9, -5, 0, -3],\n [-8, 1, 10, -9, 1, 6],\n [-9, -8, 4, -4, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -8, 5, 7, -2, -5],\n [8, -1, -2, 9, -5, -4],\n [2, 3, 6, -3, 8, -5],\n [-7, 0, -9, 9, 8, -5],\n [-3, -8, -8, 4, 6, 7]]\nB =\n[[-3, -10, 2, -8, 0],\n [6, -8, -4, -8, 7],\n [5, -4, -4, -5, -5],\n [1, 7, -2, -1, 10],\n [-2, -3, -3, -6, 0],\n [-10, 9, -2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -10, -4, 5],\n [-9, -8, -6, -10, -8],\n [0, 0, -10, -10, 1],\n [1, 9, 0, -9, 3],\n [-2, 0, -8, -10, -3]]\nB =\n[[0, -8, 9, -8, 5],\n [-8, 5, 3, 10, 6],\n [-9, -4, -3, -5, -6],\n [-6, 1, 7, -2, 10],\n [4, 8, 0, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-8, -3, -4, -5, -9],\n [6, 0, -2, 0, -4],\n [4, 8, 5, 6, 0],\n [-7, 5, -10, -7, 5],\n [3, -2, 8, 5, 8]]\nB =\n[[-3, 4, 0, 9, 1],\n [-7, -8, -1, 5, 5],\n [-5, 10, 1, -10, 8],\n [9, -3, -5, 1, 1],\n [3, -1, -2, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 4, 1, 5],\n [5, 2, -3, -8],\n [5, -2, 2, -3],\n [9, -1, 7, -5],\n [1, 1, 3, 3]]\nB =\n[[-8, -2, -1, 0, 10],\n [-8, 3, -8, 2, 9],\n [-7, 2, 1, 7, 0],\n [1, -2, -3, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -1, -9, -4],\n [-3, 0, 4, 9],\n [1, -8, 7, -3],\n [-10, -1, -9, 7],\n [3, -6, -2, 3],\n [1, 8, -5, -8]]\nB =\n[[10, 3, 9, -2, 1],\n [-2, 7, 2, -1, 1],\n [3, -4, -2, -9, -7],\n [-4, 2, 8, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 1, 0, 8, 6],\n [-2, 7, 0, 2, -9],\n [-9, -8, -3, 9, -2],\n [3, -1, 4, -1, -7],\n [1, -3, -5, 2, 1]]\nB =\n[[-8, -8, 2, -6],\n [-1, 9, 8, -8],\n [-3, -2, -6, 4],\n [-5, 0, 3, 7],\n [6, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 4, -3, 2, -6, 6],\n [-7, 3, 9, 4, -1, -3],\n [5, 8, -1, 7, -1, 4],\n [-3, 2, 1, 1, 8, -2]]\nB =\n[[-8, 5, 0, 3],\n [9, -10, 2, 0],\n [7, 6, 9, -2],\n [-10, 5, -9, 9],\n [-8, 2, 4, 2],\n [0, 5, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -7, 1, -8],\n [-6, -8, -7, -8],\n [-10, 7, -10, -8],\n [7, -3, 6, 9]]\nB =\n[[8, -3, -8, -3, 10, 6],\n [-6, 8, -9, 2, 10, 9],\n [8, -8, -6, 2, 5, -5],\n [0, -5, -9, -1, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -9, 4, -5],\n [3, 1, 6, 3],\n [4, 0, 7, 8],\n [-9, -10, -10, -6],\n [-1, 2, -8, 9]]\nB =\n[[9, -1, 0, 10, 5],\n [0, 8, -2, 7, 8],\n [-8, 2, 4, 7, -1],\n [-9, -4, -7, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-579", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 3, 1, -6],\n [-5, -4, -6, -2],\n [-3, -7, 9, 5],\n [-9, -3, 6, -1]]\nB =\n[[3, 1, 5, -3],\n [-2, -5, -8, 3],\n [2, -6, -5, -6],\n [-1, 10, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -10, 7],\n [1, 7, -8, 4],\n [10, -10, 6, -7],\n [-4, 6, -2, 5],\n [-9, 7, 0, -5]]\nB =\n[[7, -4, -4, 10, -5, 6],\n [-4, 0, 10, -7, 3, -8],\n [-3, -9, 5, -4, -3, -6],\n [-5, -3, -8, 10, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 8, 1, 2, 1, 6],\n [7, -2, -9, 10, 3, -4],\n [-9, -6, -2, -9, -9, 3],\n [-3, -9, 0, -2, 8, 5],\n [-5, 0, 9, 1, 0, 2]]\nB =\n[[-4, -6, -3, -9],\n [8, -3, -1, -1],\n [-4, -1, -10, -4],\n [2, -6, -3, -3],\n [6, 10, -10, -3],\n [10, 9, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "583", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -3, 1, 10, -9, -3],\n [5, -1, 7, 7, 2, -6],\n [-4, 9, -7, 7, 6, 5],\n [-10, -2, -7, 7, -2, 0],\n [4, 10, -4, -9, -9, 7]]\nB =\n[[5, -4, -9, -6],\n [-10, -5, -6, 2],\n [-3, -3, 0, -10],\n [-4, 5, 5, -7],\n [-1, 0, -5, 2],\n [-2, 5, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -6, -9, 4, 5, 2],\n [10, 7, 10, -4, 9, 6],\n [-1, -1, -5, 0, -2, 2],\n [-4, 7, -9, -3, 6, 6],\n [4, 2, -9, 2, -3, 2],\n [8, 6, 1, 6, 10, -3]]\nB =\n[[7, -9, -1, 2],\n [-8, -10, -5, 8],\n [-8, 7, 8, -2],\n [-3, 10, 6, 8],\n [-7, 3, 1, 7],\n [-6, -4, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 4, -1, 7],\n [2, 4, 0, -4],\n [2, 1, 9, 9],\n [-6, 3, -3, 1]]\nB =\n[[3, 1, 2, 3, 4, -1],\n [-9, -10, -3, 4, -6, 6],\n [5, 7, 10, 0, -1, 6],\n [-6, -8, -9, 6, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "980", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 9, -3, -7, 6, 2],\n [-2, 8, 0, -3, -7, -5],\n [3, -5, 4, -6, -1, 6],\n [-9, -8, -4, -6, 5, -1]]\nB =\n[[-8, 1, -7, -5, 2, 6],\n [-6, 9, 3, 8, 3, 9],\n [1, 2, 6, -8, -4, 5],\n [6, 3, -5, -10, 7, -6],\n [-5, 10, 4, -8, -3, -1],\n [0, 5, -3, -6, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1493", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, 8, 9],\n [-4, 0, -7, 6],\n [7, -2, -2, 4],\n [-8, -9, -7, -2],\n [6, 4, 5, 1]]\nB =\n[[3, -1, 5, -1, 6],\n [-5, -4, 3, 2, 5],\n [-2, 4, -1, 1, 8],\n [-7, -7, -7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, 9, 3],\n [9, -7, -10, 7],\n [-7, -10, -6, 0],\n [9, -9, -7, 9],\n [-4, -8, -2, 9]]\nB =\n[[0, 7, 3, 2, -9],\n [-8, -7, 1, 2, 10],\n [-6, 3, 0, -9, -1],\n [4, 4, 1, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2070", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 7, 3, -2, -9],\n [4, 8, -2, -4, -1],\n [10, 1, 7, 7, -5],\n [0, 7, 7, -6, 10]]\nB =\n[[6, -1, 9, 10, -10, -6],\n [8, 6, 0, 9, 3, -9],\n [5, 7, 3, 6, -1, 5],\n [8, -8, -6, -2, 5, 9],\n [5, 2, 5, 5, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1864", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -8, 7, 0, 10],\n [-3, 0, -6, -10, -4],\n [-2, -8, -5, -4, -3],\n [1, 1, -3, 5, -5]]\nB =\n[[5, 6, 7, -2, 4],\n [-8, 2, 6, -2, 3],\n [8, 8, 6, 2, 6],\n [9, -7, 6, 5, 5],\n [1, 9, 4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1277", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -1, 8, -4],\n [6, 5, 6, 10],\n [4, 5, 1, 5],\n [9, -7, -10, 7]]\nB =\n[[1, -3, 7, 10],\n [-2, -10, 5, -9],\n [0, -1, -6, 10],\n [-4, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, 2, 10],\n [-6, -5, -10, 4],\n [7, 6, 6, 4],\n [3, 8, 6, -5],\n [-5, 1, -8, -6]]\nB =\n[[3, -3, 1, 5],\n [0, 8, 1, 4],\n [6, -9, -6, 9],\n [-3, 9, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1097", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 3, 1, -8, -2, -1],\n [8, -8, 8, -7, -2, -5],\n [7, -10, 0, -7, -2, 7],\n [9, -7, -10, -3, 4, 7]]\nB =\n[[-5, 0, -7, -1, -9],\n [10, -8, -7, 1, -2],\n [8, 2, 7, 1, 5],\n [-1, -1, 2, -6, -6],\n [2, -8, 2, 9, -4],\n [2, 9, -3, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1289", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[6, 1, -6, 7, 3, -8],\n [-7, 7, -1, -7, 7, -3],\n [-9, 1, 7, -5, 0, 8],\n [6, 0, -8, -3, -9, 4]]\nB =\n[[-6, 9, -6, 6, 3, 0],\n [-5, -8, -8, -6, 5, -10],\n [6, -10, -1, -5, -10, -4],\n [0, 4, -9, 4, 9, -9],\n [-8, 3, -8, -10, -10, 9],\n [-1, -3, 4, 7, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 4, -4, 0, -9, -6],\n [-5, -1, 5, 2, -9, 3],\n [-2, -10, -1, 6, -8, -1],\n [-7, -5, 7, -9, -8, 7],\n [2, -10, 7, -5, 9, 3],\n [-9, -4, -3, 4, -9, 4]]\nB =\n[[10, 10, 6, 4, 7, -5],\n [-6, -5, -3, 2, -10, 1],\n [8, 5, 10, 8, 4, 4],\n [-1, -5, 6, 10, 2, -1],\n [6, 6, 5, 8, 7, -1],\n [-1, -2, 5, 5, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-969", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-9, -6, -3, -5, -9, -2],\n [9, 1, 3, -10, -3, 6],\n [5, -4, -8, -3, 9, 2],\n [-1, -4, 10, -3, -5, 8]]\nB =\n[[-10, 0, 9, -8],\n [10, 9, 7, -9],\n [6, 1, -8, -10],\n [-1, 6, -7, 4],\n [-8, -7, 2, 0],\n [5, -4, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 4, 5, -9, 1, 3],\n [-10, -9, -7, 3, 6, 5],\n [-4, -3, 3, 2, -10, -6],\n [-4, -9, -1, 6, -8, 1],\n [-7, 9, -8, 0, 7, -7],\n [-1, -9, 3, -3, 10, 7]]\nB =\n[[10, 10, 1, -1, 10, -8],\n [-1, 7, 6, -1, 10, -4],\n [10, 2, 1, 0, -4, 1],\n [8, -8, 10, -7, -2, 9],\n [-4, -1, 5, -1, -3, -8],\n [5, 2, 1, -1, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2623", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -2, -6, 1],\n [4, 2, 6, 10],\n [6, -3, -10, 3],\n [1, -1, -4, 4],\n [-4, -2, -3, -2],\n [-4, 8, 5, -7]]\nB =\n[[3, -10, -10, 3, 3, 0],\n [3, 6, 9, 9, 7, -2],\n [-6, -10, -7, 5, -9, 5],\n [-2, -5, 8, 5, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[8, -3, 4, 9, 8],\n [-2, 3, -4, -6, 0],\n [-3, -7, 1, -5, -3],\n [-5, -8, 8, 2, 9],\n [-4, 8, 3, -7, -1],\n [2, 10, 3, 4, 7]]\nB =\n[[2, 7, 7, 2],\n [-5, -6, -7, 3],\n [5, 2, 3, -3],\n [-3, -4, -5, 2],\n [-3, -10, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[2, 1, -8, 2, -5],\n [0, 9, -7, -9, 9],\n [3, 6, 9, -8, -4],\n [3, 9, -3, 8, -6],\n [6, 1, -3, -3, 8],\n [1, -2, 5, -9, -6]]\nB =\n[[-3, 7, 7, 10, 2, 4],\n [4, -9, 7, -4, 0, -9],\n [-6, 6, -5, -6, -1, 8],\n [7, -5, -1, -1, -9, -2],\n [-5, 10, -7, 6, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, 4, -9, 5, -7],\n [0, 6, -9, -2, 2, 8],\n [1, 0, 7, -3, -1, -8],\n [8, 0, 3, -3, -7, 7]]\nB =\n[[-4, -9, -7, 3],\n [-7, 4, -8, 5],\n [4, -8, -4, 4],\n [8, -1, 9, 10],\n [9, 4, 4, 2],\n [-10, -3, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 7, 0, -1, -4, -8],\n [5, -5, -8, -8, -1, -9],\n [-9, 9, 9, 0, -7, -5],\n [2, 1, -5, 3, 9, -6]]\nB =\n[[-7, 10, 4, -9],\n [2, 7, 9, 9],\n [9, -2, 0, 0],\n [-4, 2, 2, 0],\n [-2, -9, 2, 0],\n [1, -3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -9, -6, 8, 5],\n [-4, 0, -2, 1, -7],\n [7, 1, 2, -9, -10],\n [-7, 9, 7, -2, 2]]\nB =\n[[4, 5, 0, -4],\n [3, -9, -4, -10],\n [-6, 2, -5, -3],\n [4, 4, 0, 9],\n [3, 9, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1235", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, 5, -8, -6],\n [-10, 8, 5, -3, -8],\n [-7, -6, -5, 2, 9],\n [8, 4, 4, 5, -7],\n [-1, -2, 3, 6, -8]]\nB =\n[[-1, -4, 10, 8, 5],\n [-7, -3, 6, 2, -1],\n [-4, 0, -5, 2, -5],\n [-5, 10, -5, -3, 4],\n [1, -3, -1, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 7, -6, -5, 8, 2],\n [-7, -1, 8, -8, 8, 8],\n [1, 2, -8, 1, 7, 0],\n [-2, -3, 9, 9, 1, -1],\n [-3, 3, -9, -2, -10, 4],\n [7, 1, -8, 9, -2, 7]]\nB =\n[[-3, 5, -1, -9],\n [-10, 3, 4, 8],\n [-7, -6, 1, -2],\n [-1, -5, -7, 9],\n [10, -8, -2, 1],\n [4, -1, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[3, -6, -6, -10],\n [7, -9, -2, 2],\n [-10, 3, -7, -1],\n [2, -4, -6, -3],\n [10, 7, 4, -3],\n [-8, 1, -3, 7]]\nB =\n[[-4, 5, -7, -3],\n [-5, 10, 3, -3],\n [6, -8, -6, 2],\n [-6, -4, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, -8, 5, 4, -6],\n [-3, 5, -3, 9, -6, 5],\n [-7, 9, 6, 3, 10, -4],\n [-8, 7, -5, -1, 0, 9],\n [10, -10, -8, -4, 4, 6]]\nB =\n[[-7, 3, -9, -10, 4],\n [-7, 9, 4, 2, -5],\n [2, 9, 6, -2, -3],\n [3, -6, -2, -6, -5],\n [8, 5, -4, 3, 9],\n [4, -6, -9, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2008", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[3, -7, -10, -4],\n [2, 5, 7, -9],\n [6, 2, -3, -3],\n [4, 1, -5, 8],\n [1, -6, -10, 6],\n [-9, 1, -7, 10]]\nB =\n[[3, 5, 10, 4, -7],\n [5, -6, 7, -10, -2],\n [-4, -2, 10, 9, 0],\n [-6, -5, 5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-8, -9, 6, -2],\n [7, 4, 2, -4],\n [-8, -4, 4, 0],\n [-4, 2, 1, -3],\n [-3, 3, -2, -8]]\nB =\n[[0, -10, 1, -1],\n [-2, -5, 5, -3],\n [-5, 9, 7, -6],\n [0, 8, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, 6, -1],\n [-10, 7, 9, 0],\n [6, -5, -10, -8],\n [8, -2, -8, -5],\n [-3, 4, -3, 10]]\nB =\n[[1, 3, 9, 3, -3],\n [4, 9, -5, -10, 1],\n [-9, 0, -3, -1, 4],\n [5, 4, 9, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -8, -9, 5, -1],\n [-2, 9, -7, 9, -10],\n [10, 7, 9, -4, -9],\n [-4, -6, -5, 4, 1],\n [5, 2, 7, 1, 4],\n [-10, 8, -9, 9, -2]]\nB =\n[[-7, 5, -1, -2],\n [-4, -1, 4, -3],\n [10, 2, 8, -7],\n [-6, -6, -6, 6],\n [-8, 1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 10, 8, 7, 4, -4],\n [-2, 3, -1, 6, -10, 0],\n [-10, 5, -8, 4, -1, 6],\n [3, 3, -1, -4, 0, -1],\n [9, 10, 0, -10, -8, -6],\n [-8, 6, 5, 3, -4, 4]]\nB =\n[[-8, 7, -7, -7],\n [-5, -3, 4, 0],\n [-6, -8, -2, 2],\n [2, 8, 6, 10],\n [-6, -3, -2, 2],\n [-10, -5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[-5, 0, -10, -4],\n [7, -7, -4, 6],\n [-7, 0, -6, 2],\n [-8, -6, 6, 6],\n [7, 5, 6, -1],\n [-5, -4, 5, 6]]\nB =\n[[9, -4, -5, -9],\n [8, 8, -2, -4],\n [-4, 1, -9, 0],\n [2, 1, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 1, 4, 4, -3],\n [-8, -6, -4, -7, 2],\n [-7, 6, -9, -4, 4],\n [-7, 5, 8, 4, 4],\n [-10, -10, 6, -5, 8],\n [9, 1, 9, 6, 10]]\nB =\n[[-2, -9, 10, 0, -1],\n [-4, 4, 9, 1, -4],\n [-9, -6, -8, 8, -2],\n [1, -3, -9, 10, -3],\n [-3, -1, 9, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[9, -1, 4, -1, -4, 6],\n [-2, 2, 3, 0, -3, 2],\n [6, -4, 0, -8, 2, 1],\n [-4, -7, -3, 4, -7, 10],\n [8, -10, -4, 5, -1, 4]]\nB =\n[[-5, -10, 6, 9, -2],\n [-7, -3, -3, 7, 6],\n [5, -9, 4, 0, 3],\n [-10, 7, 2, 10, 3],\n [-2, -1, 2, -4, -7],\n [-6, -5, -6, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -8, 10, 5],\n [4, 8, 4, 0],\n [6, -7, 6, 6],\n [-6, -10, -2, 3],\n [2, 9, 6, 2]]\nB =\n[[8, 9, 10, -6, -7, 3],\n [-1, -1, 10, -7, -6, 5],\n [6, -3, -9, -10, -8, -9],\n [-9, 9, 9, 0, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[6, -5, 10, -3, 1, -2],\n [-6, -10, 9, -10, -6, -3],\n [8, 2, -2, 3, -1, -9],\n [0, 3, -4, 5, -1, 7],\n [0, -6, 1, 5, -7, 9]]\nB =\n[[3, -6, 2, -1, 9],\n [10, 10, 3, 5, -10],\n [-9, 7, -6, 4, -5],\n [-4, -10, 0, -8, -3],\n [1, -6, -4, 1, 8],\n [5, -10, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, 8, 4, -9, 8],\n [8, -5, -9, 4, -5, -1],\n [3, 6, -1, 6, 8, -7],\n [6, 9, 7, -8, 4, 4]]\nB =\n[[6, 8, 9, 9, -9, 5],\n [7, 3, -6, -4, -9, -7],\n [5, 9, -5, -1, 10, 9],\n [-10, 9, 1, 4, -1, 5],\n [2, -8, 8, 3, 7, 8],\n [10, 4, 2, 7, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 7, 1, -1, -8, -1],\n [5, -2, 3, -2, 0, -9],\n [-1, -7, 10, -3, -7, -8],\n [-10, -7, -9, 1, 3, -4],\n [5, -9, 10, -6, 3, 7]]\nB =\n[[-2, 2, -2, 3, -8],\n [1, -9, -1, 7, 10],\n [-2, 2, 7, 0, -2],\n [8, -5, -6, 4, 8],\n [6, -3, 3, 10, 7],\n [7, 6, -8, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, 4, -6, 4, 10],\n [-8, 2, 9, -8, -9, 4],\n [5, 10, -2, 9, -3, 7],\n [-8, -8, 1, -5, 2, 9],\n [-6, -10, 7, 6, -6, 5],\n [-6, -9, 5, -3, -3, 10]]\nB =\n[[9, 2, 2, -8],\n [-9, 9, 10, 6],\n [0, 8, -9, 8],\n [-8, 3, 2, -10],\n [-4, 4, -7, -10],\n [1, -5, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[-8, -7, 0, -9, 5, 9],\n [0, -9, -3, 0, -3, 0],\n [-2, -4, -8, 8, -5, 4],\n [8, -1, 8, -8, 1, -7],\n [-6, 4, -7, -9, -3, 6],\n [-7, 3, 4, 6, -5, 2]]\nB =\n[[-4, 0, 0, 3],\n [2, 9, -6, -7],\n [-10, -1, 7, -2],\n [-6, -10, 6, 10],\n [3, -2, 5, -8],\n [9, 6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-7, 8, 6, 7],\n [10, 7, 1, 1],\n [-3, 9, 3, -6],\n [1, 3, 4, 0]]\nB =\n[[-4, 5, -10, 7, -3, -5],\n [-9, 0, -4, -4, 2, -5],\n [-9, 2, 3, -9, 5, -6],\n [3, 9, 3, -1, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -10, -7, -5],\n [3, 10, -7, -5],\n [-5, -4, 3, -7],\n [-6, -8, 7, -8]]\nB =\n[[-6, 2, 9, -7, -5, -9],\n [-8, 8, 9, -1, -10, 3],\n [-7, 7, -5, 4, -8, 8],\n [-8, -7, 4, 0, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2120", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, 5, 1, -9, 10],\n [6, 9, -1, 3, 7],\n [9, 6, -9, 1, 7],\n [4, 5, 0, -5, 8]]\nB =\n[[1, -5, 4, 7],\n [4, 3, 6, -9],\n [-6, -4, 4, -2],\n [-6, 6, 9, 1],\n [4, -2, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 3, 2, -6, 2],\n [7, -7, -2, 8, -10],\n [2, -9, -10, 4, 8],\n [1, 9, -6, -4, 5],\n [-8, 5, -8, 9, -8]]\nB =\n[[-9, -7, 5, 8, -7, -3],\n [5, 4, 2, -8, 7, -5],\n [-1, 10, 1, 7, 4, 6],\n [0, -8, 1, 8, -6, 7],\n [-7, 5, 3, -3, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2633", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -10, -9, 9],\n [-6, -6, 0, 1],\n [6, 4, 10, 4],\n [-6, -2, 9, 10],\n [-10, -4, 2, 8],\n [-5, -3, 8, -8]]\nB =\n[[0, -3, -6, -1, 3, 10],\n [-10, 3, 2, 8, -2, -6],\n [9, 9, 1, 7, 1, -7],\n [-7, -7, 8, 10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 10, 0],\n [4, 0, 10, -1],\n [-9, 5, 7, 7],\n [-2, -7, 9, -7],\n [9, -8, 10, 7],\n [-8, 2, 3, 10]]\nB =\n[[-10, 4, 0, 3, -8],\n [-7, 9, 8, -4, 4],\n [-9, -9, 3, -2, 0],\n [-2, -7, -9, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 9, -3, 3],\n [9, 7, -9, -7, -4],\n [5, -9, -4, -4, 9],\n [-4, 8, -6, 1, -8],\n [-5, 2, -10, -5, -7]]\nB =\n[[9, 8, 2, -8],\n [-10, 0, 7, -2],\n [-5, -10, 0, 3],\n [6, -6, -8, -5],\n [-3, -4, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1342", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -1, 3, -4, 0],\n [2, -1, -1, -6, 8],\n [8, -1, -9, -5, -10],\n [3, -3, 7, -7, 3],\n [4, 0, -8, -4, -1],\n [0, -2, 7, 4, 0]]\nB =\n[[9, 8, 8, -7, 4],\n [9, 9, 2, 9, -1],\n [-9, -9, -6, -5, -4],\n [-3, 5, 0, 4, -2],\n [-1, -7, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 5) of the result:\nA =\n[[-9, -1, 0, -9, -5, -7],\n [-7, -3, -10, -1, -5, 3],\n [-7, 2, 7, 9, -7, -8],\n [-9, 10, -8, 6, 5, 1],\n [6, 6, 5, 6, 0, 8],\n [-10, 8, -9, 10, -3, -10]]\nB =\n[[10, -2, -8, 1, 5],\n [9, 1, -1, 7, 6],\n [-6, -6, 8, -4, -10],\n [5, 10, -1, 9, -1],\n [10, 0, 3, 0, 5],\n [8, 0, 4, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-6, -2, -4, 8, -6, 4],\n [4, 0, 6, -7, 8, 5],\n [9, -3, -1, -7, 3, -8],\n [8, 3, -7, 2, 1, 10]]\nB =\n[[6, -10, 0, 5, -6],\n [-2, -7, -10, 0, -5],\n [3, 10, 9, 4, -10],\n [7, 7, 3, -10, -7],\n [4, 10, -7, 5, -1],\n [-8, 10, -10, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-9, -5, 2, 3],\n [-7, -3, 0, -7],\n [-2, 10, 2, -9],\n [-5, 3, 10, 1],\n [7, 0, -8, 1]]\nB =\n[[2, 5, -5, -1],\n [-1, -3, 5, -10],\n [0, -9, 0, 3],\n [-10, 4, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[8, 5, 6, -5, 9, 8],\n [-8, 4, 2, -7, 10, 9],\n [-1, 1, -3, 5, 10, 8],\n [10, -5, -1, 3, -10, -1],\n [0, -2, 1, 9, -3, -2]]\nB =\n[[-10, -8, -6, 3, -2, 4],\n [-4, 8, 2, -5, -1, 2],\n [-10, -3, 1, 0, -1, 7],\n [-7, 10, -6, -1, 8, -4],\n [10, -9, 2, -8, -2, 7],\n [-5, -5, 8, -7, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 0, -2, 0],\n [-5, -2, 3, -9],\n [0, -8, -7, 7],\n [-4, 10, 1, -8],\n [-8, -3, -1, 5],\n [-10, 4, 4, 3]]\nB =\n[[-5, 2, 2, -9, -9],\n [10, -8, 5, -3, 0],\n [-2, -4, -5, 9, -9],\n [-2, -8, -7, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -8, -7],\n [-5, 6, -3, 4],\n [-2, -8, 3, 0],\n [1, 10, -10, 8],\n [8, -7, 10, -4],\n [-1, -3, 10, -5]]\nB =\n[[8, 0, 5, -7],\n [-4, -3, 5, -8],\n [10, -10, 9, 7],\n [-10, 10, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, -8, 4, -6, 7, 1],\n [5, -9, -1, 7, 2, -5],\n [5, -10, -7, 5, -6, 5],\n [9, -10, 0, 7, 9, 1]]\nB =\n[[-8, 7, -5, -8],\n [-5, -2, 2, 4],\n [-2, 8, 10, 4],\n [7, 6, -8, 0],\n [9, -10, -10, -7],\n [-2, 1, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 4, -5, -8, -3, -7],\n [-10, -7, 9, -1, 0, 5],\n [-1, 10, -1, -10, 1, -10],\n [-3, 6, -7, -3, 1, -1]]\nB =\n[[9, -6, 3, -5, -6],\n [-9, -3, 3, 8, -10],\n [-2, -6, 9, -1, 7],\n [9, -8, -2, 9, 1],\n [4, -10, -1, 4, -4],\n [-3, 9, 7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-537", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -9, 0, -1, 7],\n [-8, -4, -1, -3, 9],\n [6, -5, -6, 7, -8],\n [-5, -2, 1, 3, 4]]\nB =\n[[-7, 2, -8, -10, -6],\n [8, -5, -5, -10, -1],\n [-5, 1, -10, -10, 6],\n [-9, 6, -1, -7, -4],\n [-7, -10, 5, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "528", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-9, 6, -8, 4, -5],\n [-1, 10, -5, -3, 10],\n [8, 10, -1, -5, -10],\n [-1, 9, -1, 10, 5]]\nB =\n[[-1, -4, -10, 6],\n [8, 1, -4, -1],\n [7, 6, -9, 2],\n [-8, 7, 1, 6],\n [7, 3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-8, 0, -7, -3],\n [-3, -1, 6, -7],\n [4, -8, 0, 1],\n [-8, 3, -4, 3],\n [-7, -6, 3, -8],\n [-2, -5, -1, 9]]\nB =\n[[7, -10, 4, -1, 5, 4],\n [10, 5, 4, 0, 4, 2],\n [-1, 3, 9, -5, -9, 10],\n [-9, 10, -5, -4, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, -9, 7, 5, -6],\n [4, 3, -5, 7, 7, 2],\n [6, -1, 8, 10, 6, 0],\n [-9, -3, -2, 10, -5, -4]]\nB =\n[[-7, -9, 5, 4, 5, 6],\n [-1, -6, 6, -7, 1, -1],\n [-8, 7, 8, -2, 7, 9],\n [-9, 9, 8, -9, -4, 3],\n [6, -3, 0, -5, 8, 4],\n [-8, 9, 3, 10, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1994", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -10, 1, 1, 2, -10],\n [7, 3, -3, 2, -6, -3],\n [-7, -4, 3, 0, -5, 3],\n [-5, -2, -6, -2, -1, -9],\n [-9, 8, 6, -1, 8, 8]]\nB =\n[[8, 7, -4, 0],\n [9, 10, -7, 3],\n [-1, 5, -7, 1],\n [2, 0, 5, 5],\n [9, -8, 0, -2],\n [-2, 7, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1045", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 3, -4, -4, -6, 5],\n [-8, -2, -1, 3, 4, 4],\n [5, -10, 3, 2, -9, 3],\n [-9, -7, 7, 1, 7, 4]]\nB =\n[[-6, 9, 7, 7, -4, 9],\n [-2, 1, 4, -4, 10, 7],\n [10, 10, 3, -8, -5, -6],\n [6, 0, 8, -7, -5, -6],\n [-9, -4, -4, -8, -6, -1],\n [0, 8, 0, -3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, -4, 5, -9, 0],\n [3, 0, -7, -10, 6, 4],\n [-10, 2, 9, 7, 10, -9],\n [4, 2, -5, -9, 4, -9]]\nB =\n[[2, 9, 9, 5],\n [5, 3, 10, 5],\n [-4, 4, -2, 0],\n [0, -2, -3, 1],\n [4, 0, 10, 9],\n [-4, -3, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[10, 2, -9, -10, 0],\n [10, -4, -6, 5, -9],\n [-10, -10, -10, 7, 7],\n [1, 9, 8, 9, 6]]\nB =\n[[-10, 7, 1, -4],\n [-4, -6, -2, 0],\n [-3, 3, 2, -3],\n [-6, 0, 7, 1],\n [-4, -8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[6, -2, -7, -5, -4],\n [6, -9, 8, 1, 2],\n [6, 4, -9, 0, 6],\n [6, -3, -5, 3, 10]]\nB =\n[[10, 2, 1, -1],\n [-7, -3, -6, -3],\n [8, 7, 3, 2],\n [-1, 0, -8, 4],\n [8, -8, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[-6, 4, 7, -6, 10, 5],\n [-4, 4, -3, 8, 9, 7],\n [-6, -5, 0, -3, -4, -5],\n [6, 8, -4, -1, -4, 5],\n [2, -5, -5, -1, 8, -4],\n [8, -10, -9, 7, -6, -2]]\nB =\n[[3, 9, -9, 1, -8],\n [5, 0, 7, 3, -7],\n [-4, 4, 7, 7, 3],\n [6, -5, -6, -7, 3],\n [8, 5, 8, -8, 6],\n [7, -10, -9, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -2, -1, 5, -9],\n [0, -1, 0, -6, 5, 9],\n [-4, -8, -6, -10, -3, -4],\n [-7, -6, -1, 1, -5, 4],\n [-9, 2, -4, 8, 5, 4],\n [1, 3, 2, 4, 4, 1]]\nB =\n[[-7, -10, -7, -4, -10, -5],\n [-9, -8, 5, -6, -8, -7],\n [-7, 1, -1, -2, -1, 6],\n [5, -3, 8, 3, 8, -1],\n [1, -8, -5, 1, 7, -3],\n [-10, 2, 7, 3, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 2, 6, 0, 2],\n [-5, 5, 8, 9, -6],\n [2, -8, 7, -9, 8],\n [10, -3, -3, -6, -6],\n [-4, -5, -7, 0, -1]]\nB =\n[[-9, -5, -1, 7, -10, 10],\n [4, 8, -4, 7, -6, 4],\n [6, 5, 10, -2, 7, 6],\n [-1, -1, 6, 4, -8, -7],\n [-9, -4, 0, -10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, 6, -1, -10, -2],\n [2, -1, 10, 5, 9, -8],\n [3, 4, 8, -8, -9, 3],\n [2, -9, 2, 8, 3, 5]]\nB =\n[[6, 9, -5, -10, -8],\n [6, 7, -2, 10, -6],\n [10, 2, 1, 1, -9],\n [-10, 4, -5, 2, -9],\n [-2, -1, -9, 7, 1],\n [5, -5, -5, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 9, -3, 4, 1],\n [-3, 10, 10, 0, 10],\n [4, 10, 6, -8, -6],\n [8, 3, -7, 8, 7]]\nB =\n[[-1, -7, -10, -1],\n [-3, -3, 10, -2],\n [6, -2, 1, 6],\n [-4, 4, 4, 3],\n [3, -6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "934", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -6, -4, 1],\n [10, -8, -2, 10],\n [2, -10, -5, 1],\n [3, -5, -2, -9]]\nB =\n[[-8, -7, -2, -6],\n [5, -1, 1, 3],\n [7, -6, -4, -6],\n [-9, 6, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -1, -4, -2, -8],\n [-9, 0, 8, -2, -9],\n [-6, -3, 10, 3, 5],\n [6, 6, -8, 5, 10],\n [-5, 0, -7, 2, 2],\n [0, 4, -3, 6, -8]]\nB =\n[[-6, -9, 1, -1, 5, 7],\n [10, -1, 10, 0, 1, -4],\n [6, -3, 0, -7, -10, 10],\n [1, 3, -1, 7, -9, 1],\n [-2, -2, 2, 6, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[5, 4, 0, 3, -2, 9],\n [-1, 7, -6, 2, 8, 7],\n [6, -8, -9, 4, 7, -6],\n [-7, -6, 6, -10, 10, 10],\n [-5, 9, 9, -4, -4, -3]]\nB =\n[[-6, 2, -6, -10, -10, 1],\n [2, -7, 3, -9, -2, -9],\n [-9, 5, 10, 2, 5, 2],\n [0, 6, 5, 7, -6, 1],\n [-5, -7, 3, -6, -10, 2],\n [-1, 6, -7, 6, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -3, 8, 3, -3, -2],\n [-9, -5, -7, 8, -9, -1],\n [7, 3, 8, -6, -7, -1],\n [-9, 10, -1, 2, -1, 7],\n [-4, -1, 4, -6, 3, -4]]\nB =\n[[-3, -5, -4, 5, -2],\n [-4, 0, 2, -10, 5],\n [3, -5, -2, -8, -4],\n [-7, -5, 10, 6, 10],\n [-5, 1, 5, 0, 2],\n [1, -1, 3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1664", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, -6, 7, 1],\n [6, 4, -2, 7, 6],\n [9, 8, -1, 5, 1],\n [7, -2, -5, -8, -7],\n [-5, 7, -5, 9, 5]]\nB =\n[[0, 2, -9, 5, -5, 4],\n [-2, -6, -7, 7, -2, 9],\n [-5, -8, 1, -6, -5, -5],\n [10, 0, -9, -6, -3, 0],\n [-5, 6, 7, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 0, 5, -9, -6, -9],\n [-3, 6, -1, 5, -4, -4],\n [-8, 2, 7, -7, 8, 8],\n [2, -6, 6, -6, 2, 0],\n [0, 4, 7, -5, 2, 5],\n [-9, 8, -5, -4, -10, -6]]\nB =\n[[9, 9, 3, -2, -2],\n [5, -8, 1, 3, 10],\n [0, -3, -6, -7, 7],\n [-9, 0, 3, 8, -7],\n [-7, -3, -7, -5, 1],\n [-2, 1, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2214", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, -6, -9, -4, 8],\n [5, 10, 5, 10, 6, -5],\n [-8, 6, 8, 4, -4, 4],\n [-1, 2, -6, 1, -8, 6],\n [-9, 7, -2, 10, -4, 2]]\nB =\n[[-8, -7, 10, 6, -3],\n [-8, -2, -6, 5, 2],\n [10, 9, 2, 9, -6],\n [6, 9, 7, -4, 2],\n [2, 4, 9, 5, -6],\n [2, 7, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 6, 10, 10, 10],\n [-4, -4, 9, -10, 3, 3],\n [5, 4, -8, -7, 5, 6],\n [3, 5, -4, 1, 7, -3]]\nB =\n[[-10, -3, 10, 3],\n [-4, -3, -2, 0],\n [0, 4, 5, -5],\n [-10, 2, 7, 5],\n [4, -3, 9, 10],\n [6, -1, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-8, -3, -1, 9],\n [-9, 2, -7, 10],\n [9, -8, -10, -6],\n [-6, 8, 8, -2],\n [-9, 4, -10, 10],\n [9, -3, -1, 10]]\nB =\n[[-6, -1, -3, -7],\n [-7, -5, 10, 7],\n [5, 8, -3, 3],\n [8, -4, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, 9, 0, 4],\n [5, -2, -5, -1, 9],\n [-1, 0, 6, 1, -7],\n [-8, -7, -4, 8, -8],\n [0, -6, 6, 10, -3]]\nB =\n[[-9, 1, -9, -8, -8, 5],\n [2, 0, -7, 2, -7, -6],\n [-1, 2, 5, -6, -2, 4],\n [-9, -7, -3, -3, 6, 9],\n [-4, 1, -3, -2, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1831", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -1, -2, -7, 2, 1],\n [0, -3, 1, -7, -10, -8],\n [2, 9, 4, -4, -1, 1],\n [4, 6, 4, 8, 7, -7],\n [-3, 4, 1, 0, 10, -3],\n [-6, 0, 2, 9, -2, 10]]\nB =\n[[0, -7, 2, -6],\n [-7, 7, 10, 5],\n [8, 9, -7, -2],\n [2, -3, -7, 8],\n [-9, -1, 6, 3],\n [-7, -10, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 6, -7, -8, -9],\n [-5, -7, -6, -6, 2],\n [10, -8, 0, -2, -4],\n [7, 7, 6, -9, 4]]\nB =\n[[3, -1, 5, -3, 7, 6],\n [1, 6, -5, -6, 3, -2],\n [-9, -9, -6, 10, -9, 0],\n [-1, 2, 3, 0, -1, 1],\n [-10, 3, 9, -9, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -10, -7, -6, -2],\n [0, 9, 7, 3, -3],\n [-7, -4, 2, 7, -9],\n [6, 10, -8, -4, -6]]\nB =\n[[4, -5, 4, 1],\n [8, -8, -9, -1],\n [-2, 0, 6, -7],\n [7, 0, 4, 3],\n [7, 1, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, -1, -1, -8, 5],\n [-1, -8, -1, 4, -8, 5],\n [-2, -5, -7, 6, -2, 2],\n [8, 4, 3, -10, 6, 5],\n [2, 6, 1, 3, 5, 8]]\nB =\n[[-6, 0, -4, 4, -4, 2],\n [8, 3, -1, 8, -9, 9],\n [-3, -3, -4, -3, -10, -9],\n [6, 6, -7, 3, 6, -8],\n [-1, -9, 7, 9, 1, -10],\n [-3, 9, 2, -1, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 2, 2, -4],\n [5, 7, 1, -7],\n [-10, 5, -4, 10],\n [9, -7, 6, -4],\n [10, 4, -8, -9],\n [-2, 0, -5, -4]]\nB =\n[[6, 6, 10, -8],\n [3, 4, -6, 10],\n [-5, -6, -10, 6],\n [7, -4, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1709", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -6, -3, 3, -10],\n [-2, 5, -9, 0, 9],\n [5, -9, 2, 3, 2],\n [1, -1, -4, -7, 1],\n [-5, 1, -6, 9, -5]]\nB =\n[[-9, 2, -4, -8, -6, 3],\n [1, -4, 1, 6, -1, -5],\n [9, 3, 6, -3, 7, 10],\n [4, -1, -3, 0, 6, -7],\n [3, 2, -1, 10, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1688", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -9, -10, 0],\n [-1, 6, -2, 4],\n [10, -8, 7, 2],\n [-9, -10, 7, -2]]\nB =\n[[9, 6, 2, 5, -10],\n [9, 1, -8, 6, -8],\n [6, -9, -3, 4, 4],\n [9, 3, 9, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, 3, -3, 10, 4, -2],\n [-8, 2, -3, 4, -8, -5],\n [9, 2, 3, 6, 7, 5],\n [10, 10, -5, 7, 1, -4]]\nB =\n[[5, 10, 7, 6],\n [-6, -3, 7, 6],\n [-9, -10, 1, 9],\n [0, -2, -1, -7],\n [0, -9, -1, 3],\n [5, -6, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 7, 6, -10],\n [-1, -8, -7, 8],\n [5, 0, -7, -5],\n [2, 8, 7, 10],\n [-9, -2, -7, 3]]\nB =\n[[8, 3, 7, -10, 1, 9],\n [2, 7, 5, -4, 6, -10],\n [4, 9, -6, -10, -8, 4],\n [-4, 2, 3, -7, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 7, -4, -10, -8],\n [-4, 6, -10, 10, -9],\n [9, -10, -2, -5, -7],\n [-9, -3, 6, 8, -3],\n [1, 5, 4, 6, 7]]\nB =\n[[4, 1, -6, -7],\n [1, 1, 8, -10],\n [-10, 9, 4, 6],\n [-2, -8, 4, -4],\n [9, -5, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 6) of the result:\nA =\n[[6, -4, -9, -10, 9],\n [4, -1, 3, -5, -3],\n [8, -1, -3, -5, -6],\n [-4, 8, -2, -8, 3],\n [6, 3, 9, 8, 7],\n [3, 4, 7, -5, 0]]\nB =\n[[-3, 2, 5, 0, 3, 6],\n [-7, 2, 1, 8, 5, -1],\n [9, 4, -10, -9, 5, 6],\n [4, 8, -2, -8, -3, -7],\n [-2, -1, -10, -4, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, 6, 3],\n [3, 7, -7, 6],\n [6, 0, -1, -2],\n [6, -5, -7, -6],\n [9, 1, -1, -3],\n [-8, 8, 8, 2]]\nB =\n[[4, -3, -2, -9],\n [-8, -6, 6, 1],\n [3, 1, 2, 6],\n [-7, 10, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-1, 0, -9, 4, -9, 8],\n [-6, -7, 2, 5, 9, -6],\n [0, -2, 8, 5, -7, 9],\n [8, -1, -9, 4, 10, -7],\n [3, 5, -5, -3, 2, -5],\n [7, -5, -1, -5, 8, 6]]\nB =\n[[7, -2, 3, 2, 10, 8],\n [7, 6, 10, 8, 1, 6],\n [-5, 5, 9, -9, 7, 5],\n [-6, 0, -3, -4, 5, -3],\n [1, -9, 5, 10, 10, 1],\n [-1, 1, 9, 7, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[3, -8, -6, 2, -9, -4],\n [-10, -9, -5, -9, -6, -7],\n [-10, -7, 7, -7, 1, 6],\n [-3, -3, 1, 7, -6, 6],\n [-9, -2, -2, -6, 4, 6],\n [-6, 0, 2, -7, 8, 4]]\nB =\n[[-4, 0, -1, -1, 3, 4],\n [1, 2, 2, 9, 7, 1],\n [0, 1, -8, -1, -4, -8],\n [3, -10, -2, -3, 9, 3],\n [10, 3, 2, 4, -6, -2],\n [7, -5, 10, -7, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 2, -4, -1, -3, 8],\n [7, 7, 10, 8, -4, -10],\n [1, -3, -9, 2, -6, -3],\n [-10, -1, 3, -10, -8, -9]]\nB =\n[[4, 0, 3, 4, 10, 7],\n [-3, -7, 8, 10, 5, -5],\n [1, 2, 10, -10, -3, -8],\n [9, -4, 3, 8, 10, 0],\n [-8, 7, 2, -1, -3, 2],\n [5, 10, 4, 1, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-553", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, -3, -6],\n [6, -3, 4, -1],\n [8, -10, -9, 5],\n [-5, -3, 3, 10]]\nB =\n[[-8, 3, 9, -2],\n [-5, 5, 8, -6],\n [3, -1, 6, -4],\n [-7, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, -1, -1, -3, 7],\n [-6, -5, -2, -1, -10, -3],\n [10, -7, 9, -2, 4, 1],\n [1, 9, -9, 9, 0, 5],\n [5, -7, 1, 10, 1, -2],\n [1, -3, 0, 1, -10, -6]]\nB =\n[[6, 9, -2, -7],\n [8, -5, 3, 8],\n [0, -7, 6, -5],\n [-2, 8, 2, -2],\n [4, -6, 0, 7],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -3, 3, -9],\n [-6, 0, 1, -4],\n [3, -2, 8, 5],\n [-6, 3, -10, -1],\n [-5, 1, -4, -6],\n [7, -5, 3, 9]]\nB =\n[[-4, 9, -2, 8, 9, 10],\n [8, -5, 9, -1, -7, -7],\n [-2, -7, -8, -2, -10, -9],\n [-5, -8, 2, 8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, 4, 4, 8, -8],\n [2, -1, -3, 9, 2],\n [10, -7, 10, -1, 10],\n [6, -3, 2, 2, 7],\n [-4, -4, -9, -10, 0]]\nB =\n[[8, -7, -5, -3, -8, -4],\n [10, -2, -7, -1, -5, 9],\n [7, -8, -6, -6, 4, 6],\n [10, -1, 10, -4, -8, 9],\n [-2, -5, -1, 4, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, -8, -8],\n [5, -7, 10, -6],\n [8, 6, 1, 7],\n [-1, 3, -9, 1],\n [-10, 10, 6, 4]]\nB =\n[[-10, 9, -3, 1, -3, -3],\n [4, 8, 10, -9, -1, 1],\n [-8, 5, -5, 9, 3, 1],\n [-7, 1, -10, 6, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 10, 4, -7, 1],\n [9, 9, -4, 0, -5],\n [7, -9, 2, -9, -4],\n [-8, -3, 2, 0, 10]]\nB =\n[[7, 10, -6, 4, -10, -10],\n [-2, 2, -9, 7, -2, -1],\n [-4, 1, 7, -9, -3, -9],\n [-9, -1, -1, -1, 2, -9],\n [4, -3, 4, 3, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 1, 6, -4],\n [-9, 9, 7, 9],\n [-5, -9, -2, -1],\n [-6, -10, 0, -6],\n [1, 9, 4, -3]]\nB =\n[[-1, -8, -7, 4, -10],\n [-5, -10, -2, -6, -10],\n [3, 0, -1, -1, -9],\n [-6, 0, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 0, -5, 7, 0],\n [-3, -5, -3, -6, 7],\n [5, -2, 1, 4, 5],\n [-3, 6, 7, 10, -6]]\nB =\n[[-9, 8, 3, 7],\n [10, -2, -3, 9],\n [9, 2, 4, -1],\n [4, 5, 7, -8],\n [-4, 9, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-5, -4, 0, -9, -2],\n [7, -1, 3, -4, 3],\n [3, -6, -9, 8, 6],\n [4, -8, -5, 2, -3],\n [9, -5, 2, 5, -1],\n [-2, 8, -9, 1, -6]]\nB =\n[[-5, 1, 7, -10],\n [0, -10, 1, 5],\n [0, -8, 9, -9],\n [-6, 7, -3, -1],\n [10, -7, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 1, -2, 5, -4],\n [-7, -6, 4, -8, 3],\n [-7, -2, -8, -4, 2],\n [-9, -7, -6, 6, -5]]\nB =\n[[-5, 3, 1, 4, 5, 9],\n [0, -3, 7, -2, 0, -9],\n [2, 5, -8, 2, -4, -6],\n [9, -7, 7, -9, -8, -5],\n [5, 5, 4, 10, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 10, 0, 8],\n [-3, -6, -4, -1, -4, -3],\n [-5, 0, 6, -3, 3, 8],\n [-7, 2, -1, -2, -2, -2],\n [-5, 9, -10, 1, 8, 1]]\nB =\n[[9, 2, 5, -6, 9],\n [7, -7, 7, 8, -8],\n [2, -4, 6, -2, 7],\n [-2, -2, 10, 0, 1],\n [8, 8, -6, 5, 0],\n [1, 0, 9, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -4, -10, -1],\n [-1, 0, 7, 4],\n [6, 5, -10, -4],\n [1, 4, -3, -10],\n [-3, 8, -2, -4],\n [-8, -5, -4, 10]]\nB =\n[[5, -5, 10, 2],\n [-1, 2, -8, 5],\n [-5, 10, 4, -2],\n [-6, -6, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, -8, -3, -1, 0, -7],\n [10, -6, 10, -10, -9, 0],\n [-7, -10, -3, -3, 9, 8],\n [-7, 0, 6, 10, -9, 7]]\nB =\n[[-4, -1, 9, -1],\n [0, 8, -8, -1],\n [4, -8, 7, 6],\n [-9, -2, -8, 10],\n [-9, 5, -3, -8],\n [8, -8, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 0, 7, -8],\n [10, -4, 4, 4, 2],\n [3, 0, -5, 9, 0],\n [-9, 8, 10, 7, 3]]\nB =\n[[-5, -9, 9, 4, 7],\n [-5, -3, 9, 4, -4],\n [-9, 8, 4, 4, 0],\n [-10, 1, 2, -2, 5],\n [-6, -9, 1, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -8, 3, 0, 1, 1],\n [8, -7, -3, 5, 4, -8],\n [-4, -3, -2, -4, -6, -1],\n [-7, -5, 1, 7, -8, -5]]\nB =\n[[-4, 3, -6, 0],\n [10, -10, 9, -8],\n [2, -2, 7, -5],\n [9, -10, 1, -8],\n [-9, -10, -2, 8],\n [-2, 9, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 5, -9, 6, -7, 5],\n [10, 3, -9, 0, 6, 7],\n [-7, 7, 6, 5, 2, 9],\n [7, 8, 9, -10, 10, 9],\n [-6, 8, -10, -8, -3, -2],\n [6, 8, 10, -2, 10, -2]]\nB =\n[[-8, -9, 5, -1, 4],\n [8, -4, 9, 2, 1],\n [5, 6, -6, 9, 0],\n [-1, 2, 6, 2, 9],\n [-8, -5, 7, -1, 3],\n [-10, -10, 9, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-321", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 5, -3, 9, 6],\n [0, 8, 6, -6, -10],\n [-8, -4, 9, -3, 6],\n [6, -2, 8, 1, -4],\n [7, 3, 5, -4, 6]]\nB =\n[[7, 2, 1, 4, 8],\n [-8, -7, -10, -3, 4],\n [7, 1, -10, 4, 10],\n [-10, 3, 0, 1, 2],\n [8, -10, -4, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -1, -2, -10],\n [-2, -8, 1, -9],\n [0, -7, 7, -2],\n [7, -10, 2, 0]]\nB =\n[[6, -3, -4, 0, 8],\n [-3, 5, 9, 9, 5],\n [10, 9, -2, 5, -3],\n [7, 4, -5, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, 10, -10],\n [8, 4, 2, -4],\n [-4, 10, 4, 10],\n [-3, -7, -7, 4],\n [7, -3, -8, 1],\n [-9, -10, 5, 10]]\nB =\n[[7, -9, 3, 3, -9, -9],\n [8, 6, 3, -3, 5, -2],\n [-7, 1, 2, 8, -7, -10],\n [-3, 8, 3, -9, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 5, 10, -10, 4, 1],\n [-8, 6, 1, -5, -2, 9],\n [5, 2, 10, -7, -3, 3],\n [10, 6, -6, -7, 6, -4],\n [9, 0, -2, 3, 4, -4]]\nB =\n[[0, -8, 4, 1],\n [-1, -7, 5, 4],\n [-5, -2, 6, -9],\n [4, -3, 7, -1],\n [8, 1, -10, 9],\n [10, 7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -1, -2, -5],\n [-6, 9, 6, -5],\n [2, 3, 5, 0],\n [-8, 7, 10, 7],\n [-8, -8, 2, 5]]\nB =\n[[2, 9, 1, 6, 6],\n [-7, -9, -3, 10, 7],\n [10, -4, 2, 1, -1],\n [6, 3, 7, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 8, 7, 4, 10],\n [-10, -2, 10, -2, -1],\n [-1, -10, 8, 10, -2],\n [-8, -3, 7, 3, -1]]\nB =\n[[7, 5, 2, -5, 3],\n [-2, 0, 10, -4, -2],\n [1, -1, -2, 3, -4],\n [-7, -2, 9, -8, 4],\n [-4, 5, -9, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-6, -3, 4, -3, -2, -9],\n [0, 4, 2, 8, 9, 1],\n [8, -4, -9, -1, 5, 3],\n [0, -5, 3, 6, -6, 0],\n [4, -8, -10, 5, -3, -5],\n [7, 7, -4, -6, 10, -9]]\nB =\n[[2, -4, 8, 0, -5],\n [-6, -4, 1, 9, 9],\n [7, 9, -3, 1, 8],\n [0, 9, 5, 6, 2],\n [2, -8, -3, 2, 4],\n [3, -7, 10, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 2, -5, 10],\n [0, 4, 10, 5],\n [4, 8, 10, 9],\n [-8, 6, 3, -10]]\nB =\n[[2, 1, 8, -7, 9, 5],\n [-3, 7, 10, 8, -6, -4],\n [7, 0, 8, 3, 10, -10],\n [-4, 5, 9, 4, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "604", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, 5, -1, 5, -7],\n [-2, -4, -2, 6, 2, 9],\n [-4, -9, 1, 4, 8, -7],\n [-3, -6, 10, -2, 7, -7],\n [-9, 7, 7, -5, -7, -5],\n [7, -9, -5, 10, -8, 3]]\nB =\n[[-5, -2, 0, -2, -5],\n [1, 3, -4, 1, -8],\n [-9, -4, 4, -2, 3],\n [5, 7, 3, 1, -1],\n [2, 4, 6, 0, -8],\n [-9, -9, -7, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1368", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, -6, 7],\n [5, 5, -7, -3],\n [3, -4, 6, 8],\n [-10, 0, -2, -4],\n [-10, -10, -5, 4],\n [2, 4, -10, -9]]\nB =\n[[-1, -6, -9, -10, 5, 0],\n [8, 6, 10, -3, -6, 9],\n [-8, -2, 1, -1, -7, -4],\n [0, -7, 2, 1, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "531", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, -7, -9, -10],\n [-9, 9, 1, -10, -1],\n [0, -10, -8, -6, 5],\n [-1, 8, 0, -3, -10],\n [3, 2, -4, -5, -3]]\nB =\n[[10, 9, 0, -7],\n [-10, -10, -1, 9],\n [-2, 1, -5, -8],\n [3, 1, 4, 1],\n [8, 10, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-783", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, 1, -4],\n [0, -3, 0, 10],\n [-4, -10, 7, -3],\n [7, 9, -9, 4]]\nB =\n[[-1, -7, 0, 4, 1, -8],\n [2, -4, -3, 3, -4, 9],\n [-6, -2, 4, 3, -10, 2],\n [-5, 7, 8, 4, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -10, 2, 8, -7, 0],\n [9, 5, -5, 1, -8, -6],\n [9, 6, -6, 3, 10, 8],\n [-4, 10, -2, -9, -10, 8]]\nB =\n[[-9, 8, 8, 3, 8],\n [8, -5, 5, -9, -10],\n [10, -1, 4, 6, 3],\n [-6, -8, 10, 1, 9],\n [3, -2, 4, 7, -1],\n [4, 4, -9, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1740", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[10, -1, -3, 10, 3, 0],\n [-9, 4, 3, -4, 9, -6],\n [9, -6, -8, -6, 9, 3],\n [1, -6, -5, -1, 4, 7],\n [-4, 6, 2, 7, -6, -9],\n [3, 0, 2, 7, 9, 2]]\nB =\n[[-8, -10, -1, 3],\n [-10, 5, 3, -7],\n [-2, -9, 10, -8],\n [3, -9, 5, 7],\n [5, 9, -4, -1],\n [7, -4, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 6, 7, -4],\n [-2, 0, -4, 5],\n [-1, 7, 2, -10],\n [6, 8, -5, 5],\n [7, 1, -10, -6],\n [0, -2, -7, 1]]\nB =\n[[7, 8, -1, 0],\n [-6, 10, 6, 8],\n [-6, -8, -2, -7],\n [9, 8, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1559", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 4, -2, 8, -7],\n [-7, -4, 3, -4, 4],\n [-9, -3, -6, 3, -4],\n [-1, 10, 6, 6, -6],\n [-8, -5, 2, 4, 0]]\nB =\n[[7, 10, 8, 3],\n [1, 7, -6, -1],\n [1, 6, 0, 1],\n [-4, -1, 6, 6],\n [-3, -4, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-723", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, 3, 5],\n [3, -10, 9, -5],\n [-7, 0, -1, 4],\n [-6, 2, 5, 4]]\nB =\n[[4, -3, 2, -8],\n [-8, -2, 7, 5],\n [4, -7, 1, 6],\n [-4, 7, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -4, 6, 2],\n [-7, -9, -10, -7],\n [9, 9, 7, -6],\n [8, -5, -4, 4],\n [6, -7, 4, 6],\n [6, -9, -7, 2]]\nB =\n[[-8, -4, 10, 3, -7],\n [8, 3, 6, 3, -2],\n [-10, -8, 9, 7, 7],\n [-3, 4, 1, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-654", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[9, -3, -2, -2, 4],\n [10, 9, -4, -7, -2],\n [-5, -8, 8, -4, -5],\n [2, -7, 1, -4, -10]]\nB =\n[[5, 3, 0, 5],\n [1, 3, 4, -2],\n [9, -7, 0, 7],\n [-10, -3, -4, -6],\n [-2, -3, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, 6, -4, 8, -2],\n [-10, -5, 1, 2, 0],\n [9, 5, 5, -3, 1],\n [-9, 9, 0, -7, 10],\n [7, -3, 7, 4, 2],\n [4, 9, 9, 6, -10]]\nB =\n[[-7, 9, -6, 0],\n [3, 7, 2, -6],\n [1, -5, 4, -2],\n [-2, -5, 5, 10],\n [-1, 7, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -8, -7, -10],\n [-8, -4, 7, -6],\n [-5, 8, 0, 8],\n [5, 3, 4, 10]]\nB =\n[[8, -5, -5, -4, -8, 6],\n [8, 1, -1, 5, 5, 0],\n [-2, 6, -4, -6, 4, -2],\n [6, -5, 3, -8, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 10, 1, -1, -7],\n [0, 6, -4, 10, -7],\n [9, 2, 2, -8, 5],\n [-6, -4, 7, 10, 0],\n [7, -8, 10, 9, -10]]\nB =\n[[-5, 0, -7, 2],\n [8, -6, 0, -7],\n [7, 10, 1, 8],\n [3, -4, 6, 0],\n [5, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 0, -3, 7, -4],\n [9, 10, -5, -5, 6],\n [-6, 8, 1, -7, 7],\n [3, 3, -1, -10, 1],\n [-5, -2, -9, 9, -10],\n [1, 3, 10, 5, 0]]\nB =\n[[-6, -5, -3, -2, 5, -10],\n [-3, -4, -6, -5, -1, 6],\n [10, 1, 0, -8, 7, -8],\n [-7, 6, 0, -3, 4, -3],\n [7, -1, 3, -2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, -6, -4, 0],\n [-4, -6, 3, -1, 1],\n [4, -7, 6, 10, 3],\n [8, 0, 7, 1, 2]]\nB =\n[[2, -2, -8, 8],\n [1, 10, -4, 9],\n [6, -3, 3, -4],\n [2, -7, 10, -7],\n [-5, -5, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -7, 6, 1, 6],\n [4, -6, 10, 0, -1],\n [7, 1, -5, 8, -6],\n [7, -4, -1, 8, 7]]\nB =\n[[2, -4, -2, -2, 8],\n [6, 3, -1, -3, 6],\n [6, 4, -3, 5, -10],\n [-10, -2, 4, -3, -7],\n [10, -1, 7, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-330", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -4, -7, 10],\n [2, 4, -7, -9],\n [2, 7, -10, 4],\n [4, 9, -6, -7],\n [7, -2, -6, 9],\n [-1, -2, -3, -7]]\nB =\n[[-1, -3, -3, -8],\n [-8, -3, 10, 10],\n [-5, 9, 6, -2],\n [5, 2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -7, -6, -7, -9, -5],\n [9, 4, 6, 3, 10, -4],\n [-5, -3, 7, 6, 8, -5],\n [1, -5, -10, 2, 5, 3]]\nB =\n[[4, -9, -6, -2, 3, -2],\n [2, -9, -6, 4, -2, -6],\n [-10, -1, -3, -2, 2, 1],\n [-9, -9, 4, -2, 10, 7],\n [0, -5, 1, -2, 10, -5],\n [-7, -3, 10, 5, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1859", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[3, -4, -10, 5, -5],\n [2, -5, 8, -3, 10],\n [-1, -5, 6, 6, 8],\n [-4, -6, -3, 4, 9],\n [8, -10, 8, -2, 3],\n [-1, -8, 10, -5, -1]]\nB =\n[[-8, 5, -7, -6, 7],\n [-5, -7, -6, -1, -3],\n [10, -1, 8, 6, 1],\n [-7, 8, -4, 6, 4],\n [-8, -2, -8, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -10, -9, 8, 1, 7],\n [4, 0, 5, 8, 0, 10],\n [-10, -1, -3, 4, 7, 8],\n [-7, -6, 9, -7, 10, 7],\n [-8, 9, -7, 8, 7, 6]]\nB =\n[[-3, -6, 6, 10, -7, -10],\n [9, -3, 1, 6, -7, -5],\n [8, 8, 3, -4, -5, 1],\n [7, -4, -6, 0, 3, -2],\n [10, -1, 9, 7, -5, 10],\n [4, 9, 9, -9, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2559", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -10, -2, -2, -8],\n [-7, 2, 1, 0, 1],\n [-5, -3, 0, 10, -3],\n [3, 6, 3, 8, 10]]\nB =\n[[-5, 7, 6, -10, 7, -6],\n [1, 1, 2, 5, -9, 2],\n [-7, -7, -3, -2, 5, -6],\n [-10, 4, -5, 0, -9, -7],\n [6, -3, 8, 4, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-465", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, -3, -9, 8, 9],\n [-9, 7, 8, 0, 8],\n [5, -7, -6, 1, -3],\n [-8, 1, 5, -4, 0],\n [-5, -2, -3, -10, -8],\n [-9, 7, 10, -2, -6]]\nB =\n[[6, 4, -1, -2, -4],\n [1, -9, -3, -5, 7],\n [-1, 6, 3, 7, 5],\n [4, 0, -1, -6, -3],\n [10, 8, -10, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 1, -5, -6],\n [5, 2, -5, -3],\n [-10, 5, -1, 5],\n [-6, 0, 5, -6],\n [4, -5, -1, -10]]\nB =\n[[-6, 1, 0, 9, -8],\n [4, -3, -2, 3, -8],\n [-8, -8, -1, 2, -3],\n [-7, -10, -1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -8, 10, 2],\n [0, -4, 7, -7],\n [-1, -9, 4, -9],\n [0, 10, 6, 5],\n [-6, 10, 4, 2]]\nB =\n[[8, -2, -1, -6, 4, 7],\n [2, -6, 6, -10, 5, -10],\n [-5, -7, -4, -7, 7, 7],\n [-9, -1, -1, 10, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2087", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 5, -1, -3, 7, -3],\n [-9, -1, -1, -8, -10, 4],\n [7, 5, -5, -10, -5, 10],\n [-8, 10, -6, -1, 9, -2],\n [8, 5, 6, 7, 3, 2]]\nB =\n[[-2, -8, 2, -2, -3, 0],\n [7, 6, -7, -6, -5, 5],\n [1, 5, -4, -4, -10, 7],\n [8, -9, -4, 5, 8, -8],\n [10, -5, -7, 6, 3, -6],\n [6, -8, 6, -6, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2029", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[6, -10, -5, 5, 9],\n [8, 5, 10, 10, -2],\n [0, 5, -2, -8, 1],\n [-9, -3, -4, -5, -1]]\nB =\n[[-6, -7, 9, -3, -4],\n [-4, 0, -10, 10, -2],\n [-5, -6, 2, 0, 4],\n [-6, -1, 6, 5, -4],\n [-9, -1, -1, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -6, -9, -7, 7, 7],\n [1, -5, -10, -8, 10, -7],\n [7, -7, 8, -1, -1, -6],\n [-5, -7, 1, 10, 6, 10]]\nB =\n[[-3, -6, -5, -3],\n [2, 10, 1, -2],\n [5, 9, -2, -9],\n [8, -5, 0, -4],\n [-1, 10, -3, -8],\n [-3, 9, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -5, -3, -4, -1, -3],\n [-7, 0, 9, 6, -9, 9],\n [7, -7, 2, -6, -5, 2],\n [-4, -9, -2, -2, -1, 0],\n [-4, -7, 9, 2, -1, 1]]\nB =\n[[8, 4, 0, 3, -5, -9],\n [-10, -7, 9, 4, 4, 9],\n [-10, 0, 4, 3, -8, -2],\n [-3, 10, -2, 3, 3, 5],\n [-10, 0, -8, -3, 8, -10],\n [-6, 0, 6, -3, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1870", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, 1, 10],\n [0, 9, 1, -1],\n [-10, 4, 2, -6],\n [4, -1, 2, 1],\n [8, 9, 6, -5]]\nB =\n[[9, -6, 7, -1],\n [1, 0, -9, 3],\n [4, 1, -8, -2],\n [7, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, 8, 8],\n [5, 2, 5, 4],\n [-5, -4, -1, -1],\n [9, -10, -7, -8],\n [7, -6, -6, 8],\n [-9, 10, 2, 0]]\nB =\n[[-2, 7, 9, 6],\n [-4, 4, -1, -7],\n [-7, 10, 5, 2],\n [10, 3, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 10, -4, -9],\n [0, -5, 3, -10],\n [0, 0, 7, 4],\n [-7, 5, -10, -4],\n [-7, 5, -1, -8]]\nB =\n[[-7, 10, -8, -9],\n [-2, 3, 10, 6],\n [-10, 9, -2, -3],\n [6, 9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -10, 1, 2],\n [-7, 9, -8, 9],\n [-6, 1, -4, 10],\n [-3, 5, 10, -5]]\nB =\n[[4, 7, 0, 5, -5],\n [1, -7, 2, 1, -9],\n [-9, 5, 6, -5, 10],\n [8, -10, -4, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-523", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, 3, -4, -4, 6],\n [-8, -5, 7, -5, 0, 0],\n [-8, -8, 3, 0, 2, -2],\n [9, 3, -6, 7, 2, 8]]\nB =\n[[9, -2, -8, -10, 1],\n [5, -7, 1, -8, -8],\n [5, 7, 2, 5, -1],\n [8, 7, 6, 6, -1],\n [-4, 6, -9, 6, -10],\n [2, 5, 6, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -9, 5, 2, 3],\n [-4, -6, 8, -10, 1],\n [7, 5, 0, 7, -8],\n [3, -6, -5, 7, 4],\n [-6, 4, -6, -9, -7]]\nB =\n[[-3, -1, -4, 4, 9],\n [-2, -5, -1, -2, 2],\n [8, -7, -5, 1, 0],\n [6, 9, 3, 1, -3],\n [2, 7, -7, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, 4, 1, -1, -1],\n [0, -4, 9, -6, -7, 9],\n [7, -1, 8, 7, 7, 5],\n [-4, 0, 8, -6, 0, 8],\n [10, 6, -9, 4, 3, 2],\n [6, -9, 6, 2, 7, 8]]\nB =\n[[-8, -1, 10, -8],\n [5, 4, 5, 4],\n [-3, 2, -3, -3],\n [-3, -9, -6, 10],\n [3, -3, -4, -4],\n [0, -1, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -2, -6, 6, 1],\n [7, 9, 4, 8, 9],\n [-7, -4, -4, 10, -4],\n [8, -2, -2, 7, -1]]\nB =\n[[5, -7, 1, 8, 10],\n [-4, -8, -10, 9, -7],\n [-2, 10, 9, 8, -6],\n [-4, 3, 10, -6, 3],\n [8, 10, -2, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, 4, 5, -5],\n [-5, 4, -2, 2, -5],\n [-1, 9, -6, 3, -1],\n [-5, 6, 1, -4, 2],\n [6, 7, 2, -6, 9],\n [-9, 3, 1, -5, 7]]\nB =\n[[-6, -3, 7, 9],\n [0, 5, 3, 0],\n [3, 8, -1, -4],\n [9, -9, 4, 1],\n [4, 3, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 6) of the product matrix AB given:\nA =\n[[0, 5, 4, 9, -4, -2],\n [4, -2, 2, -7, -2, 2],\n [-2, -10, -9, 2, 4, 4],\n [5, 2, -3, -3, -2, -2],\n [7, 2, 7, 9, 7, 3]]\nB =\n[[-2, 3, 1, 1, -2, -4],\n [-4, -7, 1, -5, 1, -9],\n [8, -2, -1, -2, -10, 2],\n [-8, -5, 7, -2, -3, -4],\n [-2, 4, 6, -9, -9, 7],\n [8, 9, 2, 8, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, 4, 10],\n [-6, 8, -3, 2],\n [8, -1, -6, -7],\n [-2, 7, 10, 6],\n [8, -4, -2, 2]]\nB =\n[[-10, 7, -8, -6],\n [8, -4, 5, 6],\n [10, 3, -1, 1],\n [-10, -3, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, -8, -9, 3, 3],\n [0, 3, 10, -5, -6, 6],\n [-6, 4, 8, -2, 6, -1],\n [5, 6, 8, 9, -5, 3],\n [6, -8, 2, 3, 7, -3],\n [-4, 10, -2, 10, 8, -7]]\nB =\n[[4, 9, 0, 6],\n [-3, 9, 10, 7],\n [-1, -6, -9, 3],\n [-3, 8, 0, -1],\n [-9, 8, -2, -8],\n [10, -7, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 10, -8, -1, -4, 9],\n [3, -3, -3, -5, -5, 6],\n [8, -5, -4, -5, 5, 2],\n [9, 6, 1, 4, -7, 2],\n [-4, 2, 0, -8, 8, 8]]\nB =\n[[0, 9, 2, 8, -7, 4],\n [0, 10, -2, 5, 7, -7],\n [4, 0, 9, -4, 7, -4],\n [9, -5, 1, 0, 0, -3],\n [2, -10, 4, -1, -9, -6],\n [3, -10, 3, -9, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 9, -3, -6, 2],\n [6, -6, -1, -6, 2],\n [-2, -4, 6, 0, 6],\n [-8, 3, 10, 10, 10],\n [4, 4, -3, -8, -9],\n [10, -1, -5, 6, 5]]\nB =\n[[-1, -3, 6, 10, 5, 4],\n [-7, -10, 3, -1, -4, 0],\n [-10, -8, -4, 8, -4, -7],\n [10, 8, -3, 8, 2, 6],\n [8, 7, -6, 10, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -10, 5, -6, -7],\n [10, 0, -2, 3, 4],\n [-3, 9, 6, 9, -7],\n [-3, 1, 5, 8, -9]]\nB =\n[[10, -3, 7, 4],\n [-2, -3, -8, -7],\n [10, 3, 9, -9],\n [8, 2, 1, 10],\n [1, 7, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -3, -6, 1],\n [-7, 0, 3, 3],\n [-8, 9, 10, -8],\n [5, 9, -4, -4]]\nB =\n[[-5, -2, -5, 4, -6, 6],\n [-4, -8, 1, 2, -1, 1],\n [-1, -4, -1, 9, 2, -7],\n [3, 9, 2, -10, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1369", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, -8, -6, -9],\n [-2, -9, -7, 5, 10],\n [8, -9, 2, -8, -4],\n [6, 10, -7, 1, -1]]\nB =\n[[-9, 3, -7, 4, -5, 2],\n [5, 0, 7, -6, 7, -10],\n [7, -2, -2, 5, 4, -7],\n [5, -2, 8, 9, 10, -10],\n [8, 10, 3, 5, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -7, -10, 1, 7],\n [8, 7, 4, -3, -10],\n [-3, 9, 9, 2, 2],\n [10, -7, -9, 10, 2],\n [7, 1, 9, 5, -3],\n [3, -1, -7, -8, -10]]\nB =\n[[-7, -1, -9, -1, 6],\n [8, -6, -1, -9, 7],\n [2, 1, 2, 10, -6],\n [9, 5, -5, -5, -3],\n [-3, 3, 2, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-271", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -1, -9, -6, -3, -7],\n [0, 3, -7, 2, -4, -1],\n [10, -7, 3, 1, -10, 6],\n [8, -7, -6, 0, -3, -5]]\nB =\n[[5, 6, 10, 6, -6],\n [-4, 7, 1, 10, 5],\n [8, -6, 6, 10, 5],\n [-9, -1, -8, 9, -1],\n [-5, 9, -7, 4, 9],\n [-10, -1, 2, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-639", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, 8, -8, 3],\n [-8, -10, -9, 4, -4],\n [0, 9, -9, -1, 5],\n [-2, -10, 6, 8, -9]]\nB =\n[[3, 6, -8, -3, 1],\n [1, 4, 5, 6, 2],\n [6, -6, 7, 0, 3],\n [-3, 0, -6, -10, 8],\n [-8, 7, 4, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-483", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 6, 1, -1, -7, -5],\n [-2, 8, 10, 7, -3, 2],\n [3, 7, -2, 6, 0, -9],\n [2, 5, 5, 0, -9, -9]]\nB =\n[[-4, -3, 6, 9],\n [-10, 1, 5, -3],\n [3, -4, 3, 4],\n [-10, 2, 2, 7],\n [-2, -4, -4, 1],\n [5, -9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[2, 0, 6, -9],\n [-9, -3, -5, -3],\n [-6, 6, 5, 3],\n [7, 6, 0, 2],\n [0, 6, -3, -6]]\nB =\n[[2, -5, 4, -2],\n [1, 5, 3, 8],\n [1, -4, -9, -5],\n [3, 4, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -3, 5, -2],\n [-1, 7, 10, 3],\n [10, 3, -7, -7],\n [1, 10, -8, -10],\n [2, 4, -4, -7],\n [-4, -2, -8, -4]]\nB =\n[[6, -7, -10, -2],\n [-4, 5, 7, -7],\n [7, -7, 10, 4],\n [-1, 0, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1099", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 7, -1, 10, -1, 10],\n [8, -5, -6, 8, -4, 7],\n [-8, 3, -8, 7, 3, -10],\n [-4, -1, 4, 6, 6, -3],\n [1, 2, -9, 4, 7, 2]]\nB =\n[[0, 6, 9, -6, -2],\n [7, 0, -4, -8, -8],\n [7, -6, -7, 3, -6],\n [4, -9, -1, 4, 7],\n [-2, 0, -3, 1, 0],\n [1, 0, 8, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 5, 7, -4, 8, -9],\n [-8, 9, -5, -6, -2, 2],\n [9, -4, 5, 0, -10, 5],\n [0, 1, 4, -1, -1, 6],\n [-1, 2, 1, -8, -5, 4],\n [3, -2, -3, 0, 9, 2]]\nB =\n[[5, -1, 1, -10, 2, 1],\n [9, -5, -10, 10, -7, 8],\n [-3, 4, 1, -3, 6, 7],\n [6, -1, 1, -2, -9, 4],\n [-8, 10, -7, -6, 6, -5],\n [5, -4, 8, 4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 9, 8, -7, -10, 6],\n [-4, 1, -7, -8, -4, 2],\n [2, -6, 9, 2, 8, -5],\n [8, -7, -10, -9, 3, -2]]\nB =\n[[10, -6, -5, -8, 3],\n [0, 10, -1, -5, -1],\n [6, -9, -4, -7, 1],\n [6, 3, -6, -4, 3],\n [-8, 3, 0, -8, 8],\n [-7, -1, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1438", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -9, -9, -3, 8],\n [0, 6, 6, -6, -5],\n [2, 10, 8, 1, 8],\n [4, 5, 0, -4, -1]]\nB =\n[[0, 9, 5, -6, -4],\n [-6, -9, 4, 2, -9],\n [9, -8, 8, 2, -2],\n [-7, -9, 9, 5, 1],\n [-4, 5, -5, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-2, 4, -6, -7],\n [-2, 10, 6, -5],\n [-5, -7, -6, -3],\n [3, 0, -8, -9],\n [-2, -5, -4, 2]]\nB =\n[[10, 10, 10, 5],\n [-3, -8, 5, 9],\n [7, 10, -7, -7],\n [2, 7, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, 5, 8, 8, 8],\n [-7, -2, 1, -6, 1, 4],\n [4, 2, 1, 10, 7, -10],\n [9, 6, -3, 9, 0, 7],\n [-7, -2, 3, 0, -9, 1],\n [-5, -9, 3, -6, 5, 2]]\nB =\n[[4, 8, -10, -8, 10],\n [-3, -1, -4, -3, 9],\n [6, -2, -8, 9, -10],\n [-2, 4, -6, 2, -1],\n [-2, 4, 8, -5, 3],\n [8, 5, 9, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, -3, -10, -8],\n [9, 0, 2, 0, 9],\n [-3, -5, -6, -6, 9],\n [10, 8, 8, 4, -6],\n [5, 2, 2, 6, -10],\n [-1, 6, 6, -2, 10]]\nB =\n[[-5, -10, -1, 7, -4],\n [-6, -6, -2, -3, -6],\n [-1, 0, 5, 2, 5],\n [-6, -6, -5, 0, 2],\n [-3, 5, 1, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[6, 0, 8, -3],\n [-3, -3, -7, 1],\n [-4, 4, -8, 3],\n [-7, -2, -10, 8],\n [-9, 0, 8, 4]]\nB =\n[[0, 6, -2, 10, 3],\n [7, -1, -7, -10, 7],\n [10, 0, 0, 2, 10],\n [0, 10, -6, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, -6, 2, -8],\n [6, -8, -7, -8, -9],\n [-10, 2, -2, 6, 7],\n [8, -1, 8, -7, 9],\n [7, 4, 8, 3, 5]]\nB =\n[[-6, 6, 6, 7],\n [8, -1, -10, -6],\n [9, 3, 2, -3],\n [6, 6, -1, -8],\n [1, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -8, 8, 8, 9],\n [2, 1, -6, 8, 2, 7],\n [-6, -2, 4, -2, -9, -8],\n [-4, -7, 0, 2, -7, 4],\n [7, -6, 1, -3, 2, -1]]\nB =\n[[1, -9, -7, -8, -8],\n [0, 1, -8, 7, 7],\n [-6, -6, -4, -9, -8],\n [-3, 2, -9, 0, 0],\n [8, -6, -1, 6, -4],\n [-4, -3, -2, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1612", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 0, 0, -8, 5],\n [0, 4, -4, -1, -8],\n [3, 10, -2, 3, 0],\n [-1, 6, 10, 7, -4],\n [7, 6, 0, -9, 3]]\nB =\n[[-6, 7, -8, -2, 9, 10],\n [-1, 0, 7, 2, -4, -10],\n [-10, 8, -7, 8, -1, 8],\n [9, -6, -4, -6, 1, -8],\n [2, -4, 10, 9, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 10, 6, 7],\n [9, -5, -7, 5],\n [-8, 6, -2, 8],\n [1, 8, 0, 0],\n [1, 4, -7, 0],\n [-7, 3, -9, 0]]\nB =\n[[-2, 3, -5, -1, -7],\n [10, 9, 8, -6, -4],\n [-7, 5, -1, 10, 2],\n [6, -3, 5, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "475", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[2, -5, -3, -4],\n [4, 2, -5, -8],\n [-5, 6, 10, 8],\n [6, -4, -7, -1],\n [5, 3, -2, -6],\n [-10, 0, -8, -9]]\nB =\n[[-10, -9, -2, -2, 5, -4],\n [1, -4, 1, 5, -5, 10],\n [-8, -1, 9, -8, -6, 6],\n [-7, 7, 10, 4, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, -4, 3, -8, -8],\n [0, -10, -3, -4, 8, 3],\n [-9, 1, 9, -6, -9, 8],\n [1, 10, 1, 7, -8, -5],\n [-6, -7, -7, 6, 3, -2],\n [2, 0, -6, 9, 1, 8]]\nB =\n[[9, 7, -7, 7, -7],\n [9, 3, -5, -6, 6],\n [3, 5, 8, 6, -10],\n [8, -4, 1, 4, -10],\n [-1, 9, -7, -5, -6],\n [2, 3, 7, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, -3, -5, -3, -9],\n [-6, -10, -7, -1, 6],\n [8, 0, -4, 9, 2],\n [-7, 0, 0, 6, -6],\n [-9, -7, 4, 6, 7],\n [3, -3, 8, -4, -10]]\nB =\n[[-6, -4, 10, -6, -3, 4],\n [-8, -10, 9, -5, 9, 10],\n [-3, 7, -6, -2, 2, -3],\n [-10, 9, -3, 3, -10, 0],\n [10, 10, 1, -2, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -8, 5, -7, -3],\n [-1, 9, -7, -2, 9],\n [-3, -2, 5, 0, -4],\n [10, 1, -7, 2, 0]]\nB =\n[[1, -2, 3, 5],\n [-7, -5, 6, 2],\n [-6, -9, 5, 2],\n [-8, 7, 2, 6],\n [-10, 10, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "929", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 5, 10, -8, 1, 9],\n [-8, -2, -5, 6, 10, -4],\n [-4, -3, -5, 10, 7, -2],\n [9, -4, 8, 1, -10, 0],\n [-8, -4, 10, 0, -4, -5],\n [10, -2, -4, -10, 3, 2]]\nB =\n[[6, 7, -8, 9],\n [-2, 7, -3, -7],\n [7, 7, 7, 7],\n [-10, 6, -10, -10],\n [1, 9, 9, 7],\n [4, 7, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 6, -6, 9, 7],\n [1, -10, 1, 10, 0],\n [5, -1, 0, -4, 2],\n [2, 10, 2, 2, 3]]\nB =\n[[-8, 6, 6, -10, -3, -8],\n [-3, 2, 0, 4, -8, 0],\n [-3, 2, -3, -6, -2, 6],\n [3, 2, 3, 9, 2, -2],\n [10, 0, 10, 8, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 7, 8, -1, -4, -4],\n [-1, -2, 2, 9, -8, -1],\n [-3, 10, -6, 1, -5, -10],\n [-10, 9, -2, -9, -6, 8],\n [5, -4, 4, 0, 6, 0]]\nB =\n[[10, -6, -1, -9],\n [-4, 9, 8, 3],\n [1, 0, 1, 8],\n [-1, 2, 0, 2],\n [-3, 1, 4, -5],\n [-4, -1, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, -5, 1, -4, 2],\n [0, -2, 9, -9, -9, 3],\n [-7, -1, -6, -1, 5, -7],\n [2, 5, 2, 2, -4, -10]]\nB =\n[[-6, 7, -6, -1],\n [-9, -4, 5, -2],\n [0, 2, -8, -2],\n [-1, -3, -8, 7],\n [-8, 4, 8, -3],\n [-9, 9, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -6, 8, -4],\n [-6, -4, -8, 9],\n [9, -8, 10, 9],\n [-5, -10, -2, 8],\n [4, -1, -5, 7],\n [8, 10, 8, 2]]\nB =\n[[-8, 1, 3, -4],\n [4, 4, 9, 9],\n [-7, -4, 7, -4],\n [-2, 6, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 0, 8, -7, 10, -7],\n [-9, 5, -1, -1, 9, 8],\n [-4, -4, 8, 0, 10, -1],\n [-9, -2, 5, -3, 4, -3]]\nB =\n[[-4, -10, -8, -7],\n [10, 1, 10, -3],\n [-2, 2, 8, -6],\n [4, -7, 2, 2],\n [-3, -1, 1, 7],\n [-6, 7, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 7, -7, 10],\n [4, -1, -9, -5, 6],\n [-6, 0, -1, 1, 2],\n [10, 1, -10, 2, -7],\n [-4, 6, -4, 7, 0],\n [-10, 8, -4, -8, 4]]\nB =\n[[-4, 0, -2, -1, 9],\n [6, 6, -5, 5, -5],\n [10, 4, 7, -4, -1],\n [-4, 2, 8, -10, 0],\n [9, 6, 6, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, 0, -10, -5, -3, 8],\n [4, -4, -8, -1, -4, -8],\n [7, 9, 9, -7, 1, -3],\n [7, 10, 3, 5, 0, 6],\n [-4, 9, -6, -9, -10, 2],\n [-5, -6, 0, -6, 6, -6]]\nB =\n[[-8, 6, 1, 3, -5, -10],\n [-1, 0, -10, 0, 6, 10],\n [-9, 4, -8, 0, 10, 9],\n [7, 1, 5, 9, 5, -2],\n [-7, -5, -8, -7, -3, 10],\n [4, 5, 2, -8, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, -8, 9, 4, 8],\n [-9, 2, -4, -9, 3],\n [6, 6, 6, -7, 9],\n [5, -1, -4, 0, -7],\n [-10, -5, -9, 1, -3],\n [5, -4, -7, -3, 2]]\nB =\n[[2, -8, 4, 9, -1, -10],\n [7, -4, 7, -10, -10, -1],\n [9, -5, 9, 0, -8, -8],\n [-5, 5, -7, -5, -10, 9],\n [-10, 6, 10, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, -4, 8],\n [3, -7, 7, -7],\n [-3, -9, 5, -7],\n [-3, 1, -3, -4],\n [9, 2, 5, -3],\n [-3, 2, 8, 7]]\nB =\n[[7, -3, -7, 8, 0, 3],\n [0, 0, 4, 0, 0, -6],\n [-5, 5, 6, -8, 9, -2],\n [-2, -4, 2, 2, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -9, 2, -6, -7],\n [2, 4, 9, 10, -6],\n [6, -10, -6, 0, 9],\n [-4, -5, 10, -6, 7],\n [-2, 0, 3, 8, 2],\n [9, -7, 1, -2, -5]]\nB =\n[[4, -10, -8, -5, 4, -8],\n [-9, 7, 8, -3, 8, -10],\n [3, -9, 0, -10, 9, 7],\n [2, -3, 0, 6, 4, 9],\n [10, -2, 3, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 7, -1, 0, -8, -6],\n [4, 9, 5, -8, -6, -5],\n [4, 9, 7, -8, 1, -2],\n [10, -8, 6, -7, -3, -2],\n [-7, -8, 1, 10, -6, 3],\n [4, 9, 0, -9, 9, -1]]\nB =\n[[1, -9, -3, -5],\n [-9, 2, -8, -3],\n [-9, -4, -2, 4],\n [-1, -2, 2, -1],\n [-6, -3, -6, -4],\n [10, 9, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1031", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 4, 10, 9],\n [-4, 8, 9, 5],\n [3, 4, -7, 10],\n [1, -5, -8, 8],\n [2, 10, -1, 9]]\nB =\n[[-6, 4, 4, -3, 0, -10],\n [-9, 4, 10, -6, 5, 2],\n [7, -3, 3, -6, 4, 3],\n [2, -5, 7, 3, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2041", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 2, -2, 10],\n [-2, 9, 8, 1],\n [-8, -10, 9, 9],\n [4, -10, 7, 2]]\nB =\n[[1, 2, 7, -8, 2, 6],\n [-5, 3, 7, -10, -10, 3],\n [6, 2, -8, 4, 7, 7],\n [0, 9, 2, 1, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -3, -4, -8, 1, 4],\n [-4, 3, 3, 4, 5, 6],\n [-1, -5, -7, 1, 10, 2],\n [4, -6, 0, 7, 7, 6],\n [0, -1, -2, 1, 8, 8]]\nB =\n[[9, -10, 0, -1],\n [3, -8, -9, 4],\n [5, -5, -10, -10],\n [1, 6, 9, 1],\n [-8, -8, -7, 5],\n [10, -7, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 5, 4, -8, -8],\n [-9, -10, -9, 3, 4],\n [7, -5, 0, 10, -6],\n [10, 7, 1, -9, 5]]\nB =\n[[7, 7, 7, 7],\n [-4, 10, -4, -6],\n [-1, 6, 0, 10],\n [-4, -8, 7, -6],\n [5, 9, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -7, 4, -1, 0, -10],\n [-3, -2, 1, -3, 9, -8],\n [-1, 8, -4, 6, -2, 5],\n [-3, 0, -1, -2, -6, -3],\n [-9, -10, -5, -10, -1, -9],\n [-10, 1, -5, -3, -10, -5]]\nB =\n[[-9, -10, -4, 0, 6, 0],\n [-2, 5, 10, -8, -10, -7],\n [-4, -4, -2, -10, -8, -2],\n [3, 3, 3, 4, -8, 6],\n [6, 2, -2, -6, -6, -9],\n [-10, -10, -10, 5, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2440", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[10, 10, -4, -3],\n [-10, 4, 10, 5],\n [-10, 1, 2, 1],\n [-9, 6, -3, -10],\n [10, -5, 4, -9],\n [3, -5, 1, -10]]\nB =\n[[2, -7, -7, -10, 4, 3],\n [0, 3, -5, -10, 3, 3],\n [6, -4, -7, 10, 2, -6],\n [-2, -9, 10, -9, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, -8, -10],\n [2, -10, 9, 1],\n [-2, 9, -9, 8],\n [-1, 10, 2, -3],\n [-9, -10, -2, 2],\n [1, 4, -2, 2]]\nB =\n[[5, -4, 10, -2, 5, 10],\n [3, -7, 6, -7, -4, 10],\n [8, -1, -6, 1, 6, -10],\n [4, 6, -9, -4, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-9, -9, 8, -9, 0, -6],\n [7, 8, 2, -9, 3, 10],\n [4, -4, 5, 4, -9, 1],\n [-7, 1, 6, 1, -9, 0]]\nB =\n[[-3, -8, -10, -4, 7, 2],\n [-4, 8, -6, -10, -8, 6],\n [-10, -4, -1, -2, -6, 2],\n [-8, -10, -9, -3, -7, 0],\n [5, -4, 2, -6, 10, 7],\n [9, 10, -6, -6, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, -9, 3, 3],\n [4, 8, -3, -10, -5],\n [3, 9, -6, 6, -7],\n [-7, -8, -8, 3, 4],\n [-2, -1, -10, 1, 3]]\nB =\n[[-5, -8, 4, 1],\n [-5, 8, 7, 9],\n [-2, 4, -7, 1],\n [-5, -10, 6, 8],\n [-6, 3, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 1, -4, -4, -8, 9],\n [5, -4, -8, -8, -1, 7],\n [-10, -10, -6, -2, 0, 1],\n [7, 0, 8, 6, 8, -4],\n [-8, 0, 0, 10, 7, 1]]\nB =\n[[9, -1, -7, 3, 10],\n [5, 2, -8, -7, -4],\n [-1, 5, -1, 2, 6],\n [9, -1, -1, 10, -7],\n [-2, -3, 9, 8, 3],\n [-10, 4, -10, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 4, 7, 8],\n [0, -7, -9, 4],\n [1, 4, 0, 7],\n [5, -3, -4, -7],\n [0, 2, 5, -5]]\nB =\n[[7, -4, -7, 6, -9, -5],\n [-2, 5, 9, 9, 0, -8],\n [-8, 4, 2, -4, 3, -7],\n [-3, 9, -8, 10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[8, -6, -8, -10, 1],\n [-3, 10, 9, 9, -7],\n [-1, 5, 4, -1, -10],\n [10, 9, 3, 5, 0],\n [3, -10, -7, 2, -7],\n [9, 10, -5, -7, -8]]\nB =\n[[0, 10, 2, 5, -3, -8],\n [0, 7, 0, 9, -10, 2],\n [9, -3, -9, 3, -2, 1],\n [4, 4, -8, 3, -8, 4],\n [-6, -2, 0, 6, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -7, 6, -8, 7],\n [-5, 7, 8, 6, -5],\n [-10, -7, -7, 7, -1],\n [-5, -7, -3, 10, -8]]\nB =\n[[3, -2, -6, -9],\n [8, 3, 10, 7],\n [7, 5, 10, -2],\n [1, 7, -2, -3],\n [-6, 7, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1053", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, -9, -6],\n [5, 1, -10, 3],\n [-5, 3, 0, 9],\n [-8, 1, -3, 9],\n [4, 7, 1, 9]]\nB =\n[[8, 3, 8, -6, 4],\n [-4, -8, -8, 6, 10],\n [3, 9, -2, 0, -3],\n [-3, -8, -7, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, 4, -3, 8, 2, -2],\n [7, -1, -3, -4, -1, -3],\n [7, -6, 9, 10, 9, -5],\n [4, 5, -9, 2, 1, 2],\n [-4, 0, 1, -9, -10, 5]]\nB =\n[[3, -9, -2, 0, 4],\n [-5, 6, -9, 7, 3],\n [1, 8, 0, -5, -4],\n [3, 4, -5, -1, -10],\n [-7, 10, 9, -2, 0],\n [-2, 3, 5, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 4, 2, 9, -6],\n [4, 7, -1, -8, 1],\n [-9, 7, -2, 8, 10],\n [6, 10, 8, -3, -7],\n [-10, 7, 6, 6, -6]]\nB =\n[[2, 0, 3, -4, 1],\n [4, -5, 1, 7, -8],\n [-10, 3, -7, -1, 5],\n [10, -9, -6, -10, 0],\n [0, 8, -5, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, -2, 1, -2, -9],\n [-10, 3, 4, -8, -6, -8],\n [8, -8, -9, -2, 1, 0],\n [6, 2, -1, -2, -10, 7]]\nB =\n[[-2, 7, 4, -10],\n [8, -6, 9, 3],\n [0, 2, 4, 3],\n [-7, 5, -2, 3],\n [10, -9, 10, -2],\n [9, 5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -1, -9, -1, 0, 1],\n [9, -10, -1, -10, -1, 2],\n [2, 0, -8, 6, 9, 9],\n [6, -4, -8, 4, 6, -5],\n [-1, 1, 5, -6, 10, -5],\n [-5, 6, -6, 1, -4, 8]]\nB =\n[[-1, -3, -8, 2, 2],\n [-4, -9, 9, 0, -3],\n [-4, 0, -5, 9, -5],\n [-10, -5, 5, -4, 3],\n [6, -2, 8, 0, 4],\n [3, 0, -3, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1921", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -6, 7, -4, -5, 3],\n [-4, 5, -2, 1, -7, 4],\n [-5, -6, 0, 4, 9, -9],\n [-9, -6, -6, -2, 8, -1],\n [10, -4, 3, -2, 8, 1],\n [-5, 10, -2, -1, -1, 8]]\nB =\n[[-4, 3, 8, -1, -9],\n [0, -7, -10, -2, -1],\n [-7, 4, 1, -7, -9],\n [-6, -2, 9, 4, -4],\n [10, 3, 6, 3, -2],\n [-4, -4, -2, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 5, 0, 2, 6],\n [4, -9, 2, -8, -9],\n [1, -1, 4, 4, -5],\n [2, -1, 6, -8, -5]]\nB =\n[[-2, 7, -8, -5],\n [-5, -6, 5, 6],\n [-3, -2, 6, 4],\n [-1, 6, 10, 10],\n [10, 4, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-427", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[3, -10, -3, 2, -1, 1],\n [3, 5, 8, -3, -2, 5],\n [-4, 6, -2, -2, 0, -2],\n [-5, -7, 1, 0, -7, 2],\n [6, 0, -1, 7, -10, 7]]\nB =\n[[3, 8, 3, -3],\n [10, 7, 8, -10],\n [-7, -3, -8, -9],\n [-4, 4, -9, 2],\n [-1, 4, 4, -8],\n [2, 2, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-7, -3, 7, 4, -8, -10],\n [-1, -10, 0, -7, 6, -8],\n [5, -10, 4, -5, -9, 5],\n [5, 4, -1, -1, 10, 4],\n [-5, -3, 1, -9, -6, 4]]\nB =\n[[-2, -6, 2, 0, -3],\n [9, 6, 10, 4, -7],\n [2, -3, 0, 1, 8],\n [-7, -8, 8, -4, -1],\n [-10, 1, -1, -6, -1],\n [-1, 1, 5, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, 2, 10],\n [7, -3, 10, 3],\n [4, 8, 1, -4],\n [9, -9, -1, -2]]\nB =\n[[-1, -4, -10, 7, -8, -7],\n [-9, 9, -3, -1, 7, 4],\n [-1, -10, 0, -8, 7, -9],\n [2, -3, -7, -2, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-929", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 8, 5, -5, -8],\n [-6, -5, -9, -3, -1],\n [0, 2, -1, -7, 0],\n [4, -4, 2, -5, -8],\n [-1, 9, -10, 8, -5]]\nB =\n[[6, 3, -1, 6, 2],\n [-5, -6, 1, -2, 4],\n [2, -2, 2, 8, 10],\n [9, -8, 3, 6, 7],\n [1, 8, -4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[8, 1, -5, 1],\n [7, 1, 1, 9],\n [-6, 0, 9, -9],\n [3, -7, -5, 4],\n [5, -2, -1, -1]]\nB =\n[[7, 10, -2, 2, -3],\n [2, -10, 5, -1, -6],\n [4, 6, 5, 2, 10],\n [-9, -6, 8, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[8, -4, 9, -3, -3],\n [-2, -5, 2, -4, 4],\n [6, -1, -5, -6, 6],\n [10, 7, 10, 9, 8]]\nB =\n[[-3, -7, 0, -5, 6, 6],\n [-5, 9, 10, 9, 0, -10],\n [-3, 2, 9, -7, -7, 6],\n [8, -10, -4, -6, -4, -7],\n [3, -9, 4, 10, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-8, 2, 2, -8],\n [0, -6, 10, 1],\n [-2, 2, -7, 4],\n [-6, 10, -1, -9],\n [3, -2, -10, -9],\n [5, 5, 10, 0]]\nB =\n[[2, 2, 3, 0, 6, 6],\n [1, 5, 4, -10, 8, -1],\n [-2, -1, -9, -9, 7, -5],\n [-6, 4, -10, -2, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 3, 2, 4, -1],\n [-6, -10, 5, -8, -6],\n [3, 7, 4, 9, -1],\n [0, -10, -9, -3, -8]]\nB =\n[[-9, -3, 1, -10],\n [-5, 9, -7, -4],\n [7, 4, -4, 6],\n [6, 7, -4, 0],\n [-7, -9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -7, -4, 7, -5, -9],\n [1, 2, 1, 9, 10, 4],\n [-9, 1, 0, 2, 9, 10],\n [-9, -1, 6, -5, -10, 5],\n [0, 0, 0, 6, -2, 3]]\nB =\n[[1, -9, -9, -10, -6, 10],\n [2, -9, -2, 2, -1, -3],\n [3, -5, -1, -4, -3, 0],\n [8, 7, 10, -1, 3, 6],\n [8, -4, 10, -5, 1, 2],\n [8, 0, -9, 6, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -9, -1, 9, 2, 1],\n [-5, -3, 3, 4, -10, 9],\n [9, -1, -9, 3, -5, 5],\n [-2, -10, -1, -8, 10, 4],\n [-10, 10, -2, -1, 10, -10],\n [-9, -10, 4, -8, -8, -9]]\nB =\n[[-7, 1, -6, 10],\n [6, 1, -4, 8],\n [3, -4, 6, 5],\n [-7, -7, 4, -3],\n [-8, -1, 6, -9],\n [3, -10, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 1, 4, 6],\n [-3, 3, 3, -6],\n [-3, -4, -7, -10],\n [-4, 2, 10, 9],\n [8, 7, -3, -6]]\nB =\n[[-4, -7, 9, -5],\n [-6, 9, -3, 9],\n [-7, -1, -8, 3],\n [5, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-10, -4, 8, -3],\n [1, 6, -8, 9],\n [6, 3, -5, -2],\n [10, -1, 1, 1]]\nB =\n[[-6, 4, 6, 9, -2, 8],\n [-2, -3, 1, -5, -6, -8],\n [3, 2, -6, 6, -8, 10],\n [3, 10, 10, 2, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, 3, -2, -4],\n [-7, -3, -9, -9],\n [-5, 9, -1, -3],\n [4, 6, -6, 9]]\nB =\n[[-3, 0, 10, -5, 1],\n [2, -8, 7, 5, -10],\n [-8, 1, 0, 1, -5],\n [-8, -9, -2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[8, 6, 0, 5, 5],\n [-10, 8, -2, -2, 10],\n [8, 4, 8, 7, -8],\n [3, -4, -5, 1, 2],\n [2, -2, 6, -1, -6]]\nB =\n[[7, -7, -1, -1, 5, 10],\n [0, 5, -3, -7, 4, 7],\n [9, 0, -5, 5, 3, -1],\n [-5, 0, 3, 1, -7, 4],\n [5, 1, 3, 10, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 6, -3, -7, 1, 0],\n [2, -2, 6, 7, 0, -7],\n [10, -4, 7, 4, 6, 5],\n [-8, -8, -10, 9, 1, 6]]\nB =\n[[-2, -4, -1, -10, 0, 9],\n [-8, -8, 7, 5, 5, -1],\n [8, -9, -7, 9, 2, -5],\n [4, -7, -9, -3, -3, 6],\n [5, -5, 0, 2, 6, -7],\n [3, 3, 10, 4, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 5, 0, -3, -8, 2],\n [-3, 9, 5, -2, 4, 0],\n [9, -2, 4, -9, -3, -6],\n [9, 2, -2, 2, -1, 3]]\nB =\n[[-3, 0, 8, 5],\n [10, 3, -1, 1],\n [-5, -5, -9, -9],\n [-4, 3, -6, -6],\n [-7, 2, 2, -2],\n [5, -9, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -5, 9, -3, 10, -1],\n [5, 0, -8, -4, 8, -5],\n [-8, 0, 8, -9, -8, -1],\n [5, 6, 7, 10, 4, 9],\n [1, -9, 5, -8, -9, -1],\n [10, -5, -8, 0, -10, 10]]\nB =\n[[-10, -2, -9, -4],\n [10, 10, -2, 9],\n [7, -5, -1, -6],\n [1, -9, -4, 8],\n [2, 6, 3, 6],\n [5, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2049", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -3, 0, 10],\n [8, 2, -9, 1],\n [-10, -5, -2, 0],\n [7, -6, -6, 10]]\nB =\n[[-5, -6, 2, 6],\n [-5, 2, 1, -4],\n [0, 6, -6, -1],\n [10, -10, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -6, -8, -6, 10],\n [7, 0, 1, 4, -2],\n [-8, -9, -9, -5, 9],\n [4, 8, 0, 7, -5]]\nB =\n[[1, -1, -9, 4, -2, 10],\n [7, 10, -7, 7, 7, 4],\n [5, 1, 10, 2, -7, 3],\n [-6, 10, 9, 10, 5, 9],\n [3, -8, 6, 0, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -3, 7, 3],\n [10, -5, -5, -4],\n [9, 5, 1, -7],\n [-9, 0, 8, -3]]\nB =\n[[-7, 8, -2, -4],\n [10, -10, -7, 3],\n [10, 8, -5, 1],\n [5, 4, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -9, -1, -7],\n [2, 9, 6, -1],\n [6, -3, -2, 6],\n [-4, 2, -7, -9]]\nB =\n[[7, -10, 5, -5, -8, 2],\n [10, 10, 10, -10, -8, -8],\n [0, -8, 6, -2, 1, -9],\n [-8, -3, 8, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1942", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -6, 5, 10, 0],\n [0, 2, 8, 2, -5],\n [3, 8, -6, -9, -3],\n [-2, -2, 10, 10, -3],\n [6, 7, -10, 5, 5]]\nB =\n[[-8, -5, -9, 6],\n [1, -8, 7, 7],\n [10, -9, 6, 4],\n [-6, -5, -10, 6],\n [5, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -3, 5, 0, -8, -4],\n [3, -7, -8, 10, 0, -6],\n [-5, 8, -7, 3, 3, -4],\n [6, -8, -10, -10, -6, 1],\n [6, 6, -9, -3, -8, -10],\n [9, -8, 6, -10, 5, -8]]\nB =\n[[-5, -4, 2, -7],\n [-7, 5, -6, -9],\n [2, -1, 4, -4],\n [7, -2, 10, 3],\n [2, 10, -2, -4],\n [2, -8, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -9, 0, -2, 8, 8],\n [-10, 4, 8, 7, 1, -1],\n [-6, -5, 6, 2, -4, 1],\n [7, 6, -4, -4, -3, -3],\n [6, -1, -9, 6, 10, 10],\n [-4, -10, -1, -4, -10, -7]]\nB =\n[[6, -4, -8, -8, -10, -10],\n [7, 7, 5, 0, 8, -9],\n [1, -3, -7, 1, -3, 1],\n [-4, -1, -7, 5, -2, -10],\n [9, -7, -7, -1, -1, 0],\n [-3, 3, -6, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 3, 0, 10],\n [-9, 1, 5, -9],\n [-6, -7, -8, 8],\n [-10, -7, 2, -5],\n [-2, 10, -10, -9]]\nB =\n[[1, 3, -3, -2, -9, 3],\n [-5, 4, 9, -9, -5, -9],\n [10, -5, 5, -1, -7, 9],\n [2, 10, -1, -3, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, 4, 8, -4, 2, -10],\n [0, 10, 10, -2, -7, 6],\n [9, 9, -9, 8, 9, -6],\n [-1, -8, -1, 3, 4, 1],\n [-5, 9, 6, 4, 3, 7],\n [7, 4, 3, 10, -7, 6]]\nB =\n[[-9, -2, 10, 7],\n [6, -7, -5, -6],\n [-1, 2, 0, -3],\n [-7, 5, -3, -3],\n [6, -7, 1, 0],\n [-4, -2, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -2, 10, -3, 6, 0],\n [3, 5, -10, 9, 9, -3],\n [10, 0, 2, 8, -2, 5],\n [8, 6, -5, 8, -6, 10],\n [4, -8, 10, -3, 4, -6]]\nB =\n[[-9, -5, 3, -2, -10, -9],\n [-4, 1, 0, -6, -9, 1],\n [2, 3, -5, 0, 6, 3],\n [-6, -8, -6, -4, 0, -2],\n [1, -3, -3, 4, 9, 6],\n [3, -5, 5, -10, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1322", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -9, 3, -3, 10, 0],\n [1, 3, 4, 4, 10, 4],\n [4, 1, -4, 3, 5, 7],\n [4, 1, -3, -7, -4, -8],\n [-5, 4, 1, 2, 10, 5]]\nB =\n[[6, 6, -10, 1],\n [2, -5, -3, -2],\n [8, 10, -5, 1],\n [6, 0, -6, 0],\n [-6, -5, 1, 7],\n [6, 5, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 8, -4],\n [3, -8, -6, 0],\n [-2, -1, 10, 2],\n [-8, -5, -1, 7]]\nB =\n[[-7, -1, -5, 6],\n [-1, -9, -7, 10],\n [7, 8, -5, -9],\n [-9, -9, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 7, 10, 9],\n [1, 6, -7, 6],\n [8, -1, -5, 4],\n [0, -4, -9, -10]]\nB =\n[[-5, 4, 4, 6, 2, 2],\n [4, -8, -7, 2, -10, 10],\n [-5, -8, 2, 6, -7, 5],\n [1, 0, 3, 0, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 1, 6, 8, 3, 3],\n [-6, 3, -9, 10, -6, -6],\n [4, -5, 6, 5, -9, 9],\n [4, 3, 2, -9, 9, -5]]\nB =\n[[10, 6, 10, -3, 4],\n [5, 3, -5, -8, 1],\n [2, 2, -2, 1, 0],\n [0, 9, -1, -1, 7],\n [-2, 9, -5, -5, -6],\n [9, -8, 10, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -2, 7, -10],\n [-5, -4, 6, 4],\n [-9, -5, 7, -6],\n [-3, -7, 10, -6],\n [-4, -3, -5, -5]]\nB =\n[[6, -7, -7, -7, 8, 7],\n [4, 6, 5, -1, 2, -4],\n [1, 0, -10, 2, -10, -1],\n [1, -1, -2, -6, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-840", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -3, 6, -9],\n [3, -8, 6, 8],\n [4, -7, -5, -6],\n [10, 4, -9, 2]]\nB =\n[[-4, 9, -8, 10, 3, 5],\n [8, 2, -1, 5, 7, -5],\n [3, -10, -7, -9, 1, -2],\n [9, 10, -7, 5, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1646", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 2, -8, 5, 1],\n [3, 6, 4, -9, 5],\n [-3, 10, 4, -4, 0],\n [-1, -10, -10, 7, 8],\n [5, 6, 7, 0, 2]]\nB =\n[[8, -7, 7, -10],\n [-7, 10, -8, 8],\n [5, 7, -8, -6],\n [8, -9, -7, -6],\n [-4, -4, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 3, -1, -3],\n [5, 9, 9, -5],\n [-2, 8, 6, 0],\n [10, -7, -5, 1],\n [2, -5, 10, -9]]\nB =\n[[-4, 5, -4, 0],\n [-9, -6, 2, 1],\n [-4, -10, 1, 9],\n [7, -10, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 6, 8, -10],\n [1, -5, -4, -4],\n [9, 3, 1, 1],\n [-3, 10, 10, 2],\n [3, 9, -9, -3]]\nB =\n[[-4, -6, -1, -7, -3],\n [-10, -9, 8, 2, 4],\n [-1, 0, 7, -7, 5],\n [-10, -7, -8, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -3, -4, -9],\n [9, -1, -10, -4],\n [0, -8, -9, -5],\n [8, -5, -5, 6]]\nB =\n[[8, 10, -6, 2],\n [2, -10, -3, -4],\n [-1, -7, 7, 8],\n [8, 10, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, -9, 2, 8, 2, -5],\n [-8, -8, 9, -6, 8, 8],\n [-4, 2, -5, 0, -3, 3],\n [-3, -9, -4, -3, -10, -4],\n [-7, -4, -3, -1, -4, 5],\n [-2, 10, -6, -6, 3, 7]]\nB =\n[[-3, -6, 10, -3, -6],\n [0, 2, 7, -6, -2],\n [-3, 8, -9, 0, -8],\n [5, -3, -6, 9, -8],\n [-4, 0, 3, -4, 1],\n [-10, 10, -6, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 0, 7, -9, 5],\n [-8, -9, -6, 4, 7],\n [2, -8, 3, -1, -10],\n [8, 9, -7, 7, 7],\n [6, -10, -1, -2, -6]]\nB =\n[[8, 0, 1, -9, -1, -2],\n [8, -1, -9, -5, -4, 0],\n [-3, 6, -3, -7, -2, -2],\n [0, 2, -1, 3, 8, 4],\n [7, -7, -2, -10, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2077", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -6, 8, 10, -4, 10],\n [-9, 6, 2, 5, -6, 3],\n [-3, 0, 2, 0, -7, 5],\n [-8, -3, 3, 8, 10, -8],\n [-7, 1, -7, 5, -4, 7],\n [8, -5, -4, 1, 7, -9]]\nB =\n[[7, 2, 9, -2, -4],\n [2, 3, -5, 10, -3],\n [-3, 1, 7, 5, -3],\n [7, 10, -5, 5, 7],\n [4, -5, -3, -5, -4],\n [-4, -8, -7, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "479", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 7, -3, -9, -6, -2],\n [4, -1, 8, 3, 5, -7],\n [9, 4, 5, 0, -4, -2],\n [2, 3, 2, 4, 1, -7]]\nB =\n[[-9, 4, 7, 0, 10, -2],\n [-5, 8, 9, 1, 0, -6],\n [8, -6, 0, -2, -4, 8],\n [0, -3, 10, 0, -7, 2],\n [-2, 2, 1, -7, 8, 1],\n [7, 0, 2, -2, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-8, 10, 4, -2, -4],\n [-10, 3, 6, -9, 4],\n [0, -10, -1, 4, -9],\n [1, -3, -9, -10, -9],\n [-10, 0, -3, 2, -4],\n [-9, 6, -8, -1, 8]]\nB =\n[[6, 6, -4, -4, -1, -8],\n [-6, 3, -4, -5, -9, -2],\n [-2, -4, 1, -6, 10, 1],\n [3, -9, 2, -7, 10, -10],\n [9, -5, 6, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[9, -1, -3, 1, 10, -1],\n [6, -7, -8, -6, 3, -2],\n [5, -1, -2, 6, 2, -3],\n [-8, -5, -7, -4, 8, -3]]\nB =\n[[3, -8, -5, 6],\n [-8, -1, -7, 3],\n [7, -9, 1, -3],\n [10, 5, 9, -9],\n [6, -1, -9, 4],\n [-7, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -9, -4, -7],\n [-3, -7, 7, 5],\n [-4, -1, -3, -5],\n [-1, -7, 2, 7]]\nB =\n[[-1, 9, -3, -3],\n [9, -8, 4, -6],\n [-3, -10, -5, 9],\n [9, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 10, 5, -6, -4],\n [4, -7, -1, 4, -4],\n [-8, -5, -7, 7, 10],\n [-4, -6, 3, -6, 3],\n [2, -7, -5, 8, 2],\n [-3, -4, 7, -1, 10]]\nB =\n[[-2, -7, -2, -3],\n [-2, 3, 5, 10],\n [2, -3, 6, 4],\n [-8, 1, -3, 8],\n [10, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 6, -8, 3],\n [-6, 0, 9, -2],\n [5, 5, 4, 1],\n [-1, -2, -2, 2],\n [0, 1, -6, -3]]\nB =\n[[-1, -9, -2, 5, -6],\n [3, -5, -7, -10, -9],\n [-7, 2, 9, -8, 9],\n [-2, 2, 7, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 7, -9, -6, 3, -7],\n [-8, 10, 7, 6, 8, 4],\n [-8, 1, 3, -4, 3, -6],\n [7, -1, 5, 5, -8, 2]]\nB =\n[[-3, -9, -2, 9],\n [6, 6, -4, -2],\n [3, 5, -5, -3],\n [0, 2, 8, 3],\n [-6, -2, -7, 0],\n [2, 1, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "932", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[10, -5, 9, 2],\n [-8, 8, -6, -5],\n [-10, 10, 4, 3],\n [9, 5, -10, 3],\n [10, -8, -9, 8]]\nB =\n[[1, 6, -3, 1, -7],\n [-10, 9, -1, 1, 0],\n [2, -7, -1, -9, -8],\n [5, 6, -2, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[5, -10, 8, 5, 2],\n [8, -5, 10, -4, -1],\n [9, -4, -7, -3, -9],\n [7, 10, 3, -5, 5],\n [1, 6, 9, 1, -9],\n [-8, 5, -10, 0, -1]]\nB =\n[[8, 6, 1, -2, -8],\n [9, -7, -8, -10, -6],\n [8, -9, -8, -8, -3],\n [3, -3, 2, 2, 9],\n [6, -4, 9, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-7, 9, 9, -1, 9],\n [-6, -5, 1, -2, -2],\n [4, 8, -4, -8, 3],\n [5, -2, -7, 4, 5]]\nB =\n[[-4, 5, -3, -6, 3, 9],\n [-7, 0, 8, 7, -3, 3],\n [-3, -6, 9, 1, -4, -4],\n [6, -7, 4, 3, -7, -1],\n [-8, 9, 6, -2, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[2, -9, 0, -1],\n [-1, 2, 9, 7],\n [6, -8, -6, -9],\n [7, -7, 5, -10]]\nB =\n[[10, -6, -10, -4, 10, 5],\n [-8, -9, -1, -6, -2, 8],\n [-2, 0, -10, -5, 7, 9],\n [6, 10, -4, 7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-8, 1, 3, 4, 5, 9],\n [7, -9, 2, -6, -6, 7],\n [-10, 8, 4, -8, -3, 4],\n [2, 2, -6, 3, -8, -7],\n [2, 7, 4, -10, -1, 5]]\nB =\n[[8, -8, -4, -9, 2],\n [-1, 1, -3, 1, -10],\n [0, 7, 0, 1, -6],\n [6, -4, -5, -1, -3],\n [7, 9, -6, -2, -10],\n [-3, -3, 6, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 2, -7, -3],\n [-10, 7, -4, -4],\n [-1, -10, 6, 5],\n [-5, -4, 10, 10]]\nB =\n[[4, -6, 0, -3, 3],\n [-9, -8, 0, -9, 8],\n [4, 6, -2, 10, -9],\n [-9, 1, 9, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 8, 7, -9, 4, -9],\n [8, 7, -3, -9, 8, 10],\n [-9, 4, 5, 3, -6, 10],\n [-2, -9, 4, -5, -5, 5]]\nB =\n[[-9, -1, 1, 3, -9, -8],\n [3, -3, -5, -1, 9, -10],\n [-5, -5, -3, 5, 5, 2],\n [-2, -8, -9, 7, 6, 5],\n [3, -1, -5, 3, 10, 4],\n [6, 1, 4, -3, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[6, -2, 6, -3, -4, 7],\n [1, -3, 7, -3, 3, -5],\n [-10, -8, 0, -8, -1, 4],\n [0, -5, 9, -9, -9, -9],\n [-4, 6, 6, -1, -4, 8],\n [9, -4, 2, -7, -10, -3]]\nB =\n[[-6, -3, -10, 7, -1],\n [8, -7, -10, -1, 8],\n [6, -8, -10, -6, -8],\n [1, -4, 10, 5, -9],\n [-1, 2, 3, -5, 9],\n [2, 3, 7, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, 3, -7],\n [-1, 8, -2, -4],\n [0, 10, 5, 6],\n [3, 1, 5, 10],\n [-9, -9, -9, -3]]\nB =\n[[4, -4, 3, 8, 0],\n [7, -1, -6, 3, 3],\n [-2, -3, -4, 6, 9],\n [-7, -10, 10, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 0, -4, 10, -4],\n [-4, 6, 7, -4, 6],\n [-7, -6, -8, 0, -6],\n [-5, 9, -9, 2, 2],\n [0, -1, -7, -3, 3]]\nB =\n[[7, 7, -6, 4, -5, 6],\n [-4, 7, -8, 0, 2, 3],\n [3, -4, -1, -8, 0, -8],\n [-7, 10, 6, 7, -10, -6],\n [3, 8, 2, 9, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 7, -9, 2, 2, 9],\n [-3, 8, 5, 0, 5, -9],\n [2, -3, 4, -2, 5, 7],\n [4, 2, 1, -7, 2, 6]]\nB =\n[[-2, -1, 8, 9],\n [1, 2, 8, 10],\n [-9, -5, 7, -6],\n [1, 7, -6, 0],\n [10, -9, 5, 1],\n [-7, -1, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[6, 0, -10, 2],\n [7, 3, -4, 6],\n [-8, 1, -2, 10],\n [-5, 9, 10, 3]]\nB =\n[[5, -1, 9, -4],\n [-6, 9, -3, -1],\n [-9, -9, 0, 4],\n [-5, -6, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 7, 8, 9, 2],\n [-3, -9, -8, -3, 0, -1],\n [-9, 4, 2, 0, -8, -6],\n [9, -8, 0, -7, -8, -7],\n [-3, 1, -1, 2, -5, 8],\n [8, 10, 3, 4, -1, -10]]\nB =\n[[5, -10, 0, -4, -9],\n [0, -1, 2, 3, 8],\n [6, -9, -4, 4, -2],\n [-1, -8, 9, 4, 10],\n [10, 8, -3, 2, -3],\n [-5, -2, -4, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -8, 0, 6],\n [-7, -3, -3, 0],\n [-2, 0, 9, -3],\n [-9, 10, 10, -1]]\nB =\n[[9, -1, 7, -8, 0, 3],\n [-4, -8, 9, 0, 9, -8],\n [-8, 1, 10, -7, -7, 8],\n [2, 3, 5, 4, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 2, -6, 4],\n [-7, -8, 0, 8],\n [-5, 9, -4, -1],\n [4, -4, -9, 7]]\nB =\n[[8, -5, -9, -7],\n [-9, -6, -6, -6],\n [2, 2, -3, 2],\n [5, 7, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[4, 1, 9, 5, 6, 10],\n [1, -6, -9, -7, -6, 0],\n [6, 10, -9, -9, 10, 5],\n [4, 8, 9, -9, -7, 1],\n [-8, 8, 5, 9, 3, 6]]\nB =\n[[8, 9, 9, 0, 9, -5],\n [-1, -4, 0, 9, 8, -1],\n [-3, 7, -7, -9, 10, 9],\n [-3, 6, 0, 2, -10, 4],\n [6, 8, 8, 4, -6, 7],\n [-2, -1, 0, 6, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -1, 7, -2, -9, 9],\n [-1, -4, 4, 9, 5, -9],\n [-8, -7, 0, -2, 5, -4],\n [-3, -8, 5, -1, 9, 9],\n [1, -6, -10, 8, -9, -6]]\nB =\n[[-4, -7, -9, 5, 9, -3],\n [6, 3, 4, -1, -10, 5],\n [-8, 3, 1, -9, 3, -7],\n [-8, 5, 3, 3, 7, 2],\n [-4, -6, -9, 5, -4, -4],\n [-7, 5, 4, 1, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 3, -9, 5, -9],\n [-8, -9, -2, 8, -7],\n [9, -1, -8, 3, -3],\n [-2, -7, -10, 6, 0]]\nB =\n[[-3, 2, 10, 7],\n [-9, 3, 7, -6],\n [5, -9, -2, 9],\n [2, -8, -10, -5],\n [-7, -7, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[9, -1, -8, 10],\n [3, 6, 6, 6],\n [1, -8, -4, 10],\n [1, 5, 7, -5],\n [4, 10, -6, 8],\n [-9, 9, -2, -1]]\nB =\n[[10, 8, 4, -3, -8, 10],\n [3, 0, -4, -10, 7, -4],\n [-6, -4, 2, 7, 1, 5],\n [-8, 7, 3, 5, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -9, 4, -1, -7],\n [-8, 2, 2, 10, 8],\n [3, -3, -9, 0, -4],\n [7, -8, 1, -5, 7],\n [-3, 6, 3, 10, 3]]\nB =\n[[7, 9, 6, -9],\n [1, -7, -8, -10],\n [-1, 6, 6, -4],\n [-4, -1, -1, 10],\n [-4, -7, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1563", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -8, 10, -7],\n [-1, 5, -6, -5],\n [2, -5, 6, 10],\n [-5, -4, -2, 2]]\nB =\n[[-6, 4, 2, 1, 9, 3],\n [2, -2, 1, 3, 8, -4],\n [-5, 2, 10, 7, 5, 7],\n [-6, -9, 9, 1, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -4, 1, -7, -9, -5],\n [-1, 0, -2, -4, -5, -4],\n [9, -2, 7, 9, 2, -5],\n [7, -3, 10, -7, 6, -9],\n [9, 7, -6, -8, -8, -6]]\nB =\n[[3, 9, 0, 7, -9, 9],\n [4, 6, -8, 8, -3, 7],\n [-10, -4, 2, -10, -5, -9],\n [5, -6, -2, -6, 7, 3],\n [5, 4, -9, -5, -2, -10],\n [4, -1, 10, -8, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -2, -1],\n [-4, -6, -10, 9],\n [1, -3, -10, -2],\n [1, 8, -7, 3]]\nB =\n[[6, 9, -7, 9],\n [7, -2, 5, 1],\n [6, -5, 0, -6],\n [9, 4, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-9, -6, -6, -9, -5, 0],\n [7, -3, 6, -2, 0, -3],\n [-3, 9, -8, -10, -9, -1],\n [2, -1, 0, -7, -3, 1],\n [0, -1, 3, -7, -6, 1],\n [7, 2, 6, -6, -3, 3]]\nB =\n[[-8, -1, 2, -7],\n [0, -9, 3, -8],\n [-9, 7, -1, -6],\n [1, 2, 2, -6],\n [10, 3, 4, 0],\n [9, 8, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -5, -5, 4, 9],\n [10, 0, 4, 5, 7],\n [-1, -9, 3, -4, 0],\n [6, 5, 0, 0, 4],\n [4, 9, -5, -7, -1],\n [5, -3, -6, -3, 9]]\nB =\n[[-3, -5, -10, -10],\n [5, -8, -7, 8],\n [3, -10, 4, 5],\n [-5, 2, 1, -8],\n [9, 8, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-494", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 9, 8, -7],\n [-7, -5, -1, -4],\n [-4, 2, 2, -3],\n [2, -8, 3, 10]]\nB =\n[[9, 8, 9, 3, 1, 10],\n [-10, 3, -8, -10, 4, -4],\n [-9, 5, 2, 0, -3, 4],\n [10, 2, -10, -3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-562", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 10, 3, -6, 8, -4],\n [3, 2, 0, -3, 10, 3],\n [-5, -4, -1, -6, 10, 2],\n [0, 2, -10, -9, 4, 8],\n [8, 10, -7, 4, -1, 0],\n [6, -6, -1, -7, -4, -6]]\nB =\n[[7, -1, 2, 1, -8, 5],\n [10, -5, -2, -8, 2, -7],\n [5, 10, 8, 9, 6, -2],\n [2, 10, -3, 10, -4, -10],\n [6, -5, -10, 1, -1, 1],\n [-10, 2, 0, 9, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 9, -3, -8, -10],\n [-3, 10, -9, -6, -7],\n [2, 7, -4, -9, 2],\n [-5, 3, -1, -10, 4]]\nB =\n[[6, 2, -3, 5],\n [4, -6, 0, -4],\n [5, 1, 7, -8],\n [-5, -10, 3, -8],\n [-3, 0, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "968", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, -1, 0, -10],\n [-2, -8, 7, 1, 2],\n [-7, 7, 2, -8, -1],\n [-9, 0, -9, -3, -7]]\nB =\n[[4, 9, 2, 1],\n [10, 0, 0, -7],\n [0, -1, 1, 8],\n [-7, 5, 2, 6],\n [2, -9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 9, -5, -9],\n [-8, 4, -5, -9],\n [-10, 8, 5, -2],\n [6, 4, -3, -6],\n [-9, 1, 10, 4]]\nB =\n[[-10, -9, -7, -8, 5],\n [6, 8, -6, 8, 5],\n [-5, -8, 9, -6, -1],\n [-2, 5, -4, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1505", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-10, 3, 1, -5, -7],\n [7, 1, 2, 2, -4],\n [5, 7, 2, -8, -3],\n [-8, -9, 10, -8, 8],\n [3, -10, -9, 7, 1]]\nB =\n[[-1, -6, -4, -5, -9, 0],\n [-5, 5, -5, 4, -6, 3],\n [9, 7, -3, 8, 10, 4],\n [8, -3, -7, 2, 4, -6],\n [-8, 8, -5, -8, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, -7, 4, 0],\n [-4, -3, 2, -5],\n [-2, 9, 7, -9],\n [-2, 7, 10, -10]]\nB =\n[[-7, 8, 2, -10],\n [-6, -5, -4, 5],\n [0, -1, 10, -10],\n [-6, -6, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -4, 2, 1, 5],\n [0, 4, 0, 1, -7],\n [7, 0, 1, -3, 8],\n [-3, -2, 7, 1, 8],\n [-3, -8, 7, 1, 2],\n [-4, -10, -4, 6, 2]]\nB =\n[[-8, 1, 0, 2, -6],\n [6, 3, 3, 7, -10],\n [-2, 2, -1, 8, 3],\n [5, 7, 3, -3, -9],\n [-9, -6, -7, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-682", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -9, -2, -3],\n [-3, -9, -4, 2],\n [-5, -10, 9, -5],\n [-9, -3, 7, 4],\n [5, -5, -2, 8]]\nB =\n[[-6, 5, 8, -2, 1],\n [-8, -7, 4, -7, -10],\n [-8, 2, 5, -5, -3],\n [-5, -6, 7, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[1, -3, -5, 7],\n [-10, -2, -4, -4],\n [-3, -10, -4, 8],\n [0, 4, 10, 3],\n [-7, -6, -6, -2]]\nB =\n[[-7, -5, 1, -9, -6, 8],\n [-5, 4, -3, -2, -10, 6],\n [1, 4, 8, 7, 9, -9],\n [-1, 2, -7, -8, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, -5, -2, 9, -7],\n [-2, -7, -4, -6, -5, -1],\n [9, -4, 2, -7, 3, -7],\n [-5, 4, 4, -2, -9, -4],\n [7, 9, 10, 3, 10, 0]]\nB =\n[[-7, -6, -2, -7, 7],\n [-2, 1, 6, 4, 1],\n [-2, -5, -2, -4, 6],\n [-10, 4, 2, -6, -3],\n [-8, -9, -8, -2, 6],\n [0, -5, 5, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 2, 1, -10, -10, 4],\n [-4, -3, -6, 9, -8, 1],\n [-8, 2, -3, -10, -9, 8],\n [-2, 5, 5, 6, -5, 10],\n [-1, -7, -2, 6, -4, -5],\n [3, -1, -9, 9, 8, 10]]\nB =\n[[-2, 3, 1, -8],\n [-5, 3, 6, -1],\n [-10, 8, -7, -6],\n [3, -4, -6, -5],\n [1, 8, -8, -4],\n [-2, -6, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2014", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -5, -8, 1, 7],\n [3, 4, -2, 8, 4],\n [-6, -6, 10, -9, -4],\n [-10, -10, -3, -6, 7]]\nB =\n[[-9, 8, -6, 1],\n [-8, 10, -6, 7],\n [6, -2, 2, -5],\n [-5, -2, 0, 4],\n [9, 3, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 2, -6, -9, 10, -7],\n [-1, 9, -1, 7, 7, -10],\n [-5, -8, 9, -4, 3, -9],\n [-2, 3, -7, -5, -4, -1],\n [-6, -6, -10, -2, -5, -2]]\nB =\n[[-1, 0, 5, -2],\n [2, 2, -7, 10],\n [9, 0, -2, 0],\n [8, 8, -7, 8],\n [-5, 7, 9, -5],\n [6, -7, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1563", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -6, 9, -7, 9, 2],\n [-6, 7, -6, 3, -9, -2],\n [5, -5, 7, -9, 7, -7],\n [-8, 3, 7, -3, 10, -1],\n [5, -2, 10, -8, 3, -8],\n [-8, 6, -10, 6, -8, -9]]\nB =\n[[-8, -10, -1, 5, -6, -1],\n [10, -4, 1, 6, -6, -10],\n [-10, 7, -5, 8, -3, -10],\n [4, -5, -4, -3, -1, -9],\n [-5, 6, -9, 1, 4, 10],\n [-6, -4, 2, 6, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "831", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, 8, -5, -7],\n [3, -5, 1, 7, -8],\n [4, 9, -10, 7, 3],\n [-3, 1, -9, -6, 3]]\nB =\n[[5, -10, 10, -4, 8, 7],\n [1, -7, -10, 9, 3, 8],\n [-1, -10, -5, -9, 9, -9],\n [2, 7, 8, 0, -9, 0],\n [-6, -5, -6, -5, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 1, 6, -2, 1],\n [1, -6, -10, 9, -7],\n [-5, -2, 7, 10, 10],\n [5, -1, -1, -1, 9]]\nB =\n[[-5, 3, 4, -5, 4, -9],\n [-5, 3, 1, 4, -9, 10],\n [2, -2, 1, -7, 3, -9],\n [-5, -2, 2, 4, 8, -1],\n [-6, -4, 6, 8, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -3, -5, 4],\n [5, 4, -9, -4, -5],\n [10, -2, -8, 5, -2],\n [-10, -7, -3, 2, 5],\n [7, 6, 7, 6, -4]]\nB =\n[[-5, 6, 8, 7],\n [1, -2, -10, 5],\n [-6, 8, 4, 0],\n [6, -2, -2, -3],\n [1, -5, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -9, 10, 4],\n [0, -6, -4, 3],\n [0, -9, 8, -10],\n [2, 6, 4, 7],\n [4, -4, -6, 7]]\nB =\n[[4, -10, 1, 1, -9],\n [-8, -2, 3, -2, 10],\n [-9, -2, 7, -2, 9],\n [5, 10, -9, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -9, -4, 5, -4, 10],\n [-8, 8, 2, -1, 3, -8],\n [2, 7, -7, 10, -1, -8],\n [-3, 4, -4, 9, 2, -6]]\nB =\n[[5, 0, 10, -5],\n [-9, -6, 2, -6],\n [10, 9, 6, -2],\n [-2, 9, 6, 10],\n [-3, -7, 7, 7],\n [8, 2, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, 6, 4],\n [-3, 6, -5, -3],\n [0, -2, 4, 10],\n [8, -5, -2, -5],\n [2, 1, 7, -9],\n [2, 0, -10, -6]]\nB =\n[[-5, -1, -7, 4, 6, 5],\n [-8, 2, -6, -8, -7, -10],\n [6, -4, 7, -2, -5, 2],\n [3, -5, -9, 2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-2, 8, -2, 8, -4],\n [-9, 0, 0, -10, 8],\n [9, -3, 8, 5, -2],\n [-2, 3, -6, 9, 5],\n [-4, 3, 2, -3, -5],\n [5, -5, -4, 9, -10]]\nB =\n[[2, 5, -4, -8, -9],\n [9, -8, 8, -3, 1],\n [5, -1, 0, 4, -2],\n [-2, -9, 5, -9, -6],\n [7, -8, 7, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 5, -7, -3, -3],\n [2, 2, 7, -7, 2],\n [9, -8, -9, -4, 8],\n [-8, -7, -2, 6, -10],\n [-7, -1, -8, 0, 0],\n [8, -6, 6, -5, 8]]\nB =\n[[4, 7, 4, 5, 8, 9],\n [7, 8, -5, 5, -4, 9],\n [-7, 4, 6, 3, 2, -6],\n [4, 4, 5, -1, -8, 9],\n [-10, -10, 5, -3, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[-3, 5, 9, 9],\n [8, 0, -3, 7],\n [-7, -5, 10, -5],\n [-6, 6, -8, 8],\n [-9, -2, -8, 2],\n [-1, 3, -1, 2]]\nB =\n[[8, 4, -9, -4, 1, 5],\n [-8, -2, 4, -1, 1, -9],\n [-5, 7, -6, -9, -1, 5],\n [5, -7, -1, -9, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 1, -3, 2, -8],\n [-7, 8, -6, 2, 10],\n [-4, 9, -3, -7, 2],\n [4, 9, -6, 10, 2],\n [-2, 0, -6, 5, -10],\n [-2, -4, -7, -9, -7]]\nB =\n[[5, 10, 9, -10],\n [-2, -9, -3, -7],\n [-5, -5, -8, 4],\n [6, 9, 2, -1],\n [4, -1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, -5, 4, -7],\n [1, -8, -6, -1, 9],\n [7, -9, 5, -3, -9],\n [-3, -6, 8, -5, 4]]\nB =\n[[-2, -6, -3, 9, -2, 3],\n [-1, -7, -7, -9, 7, 3],\n [2, -10, -9, -8, 9, -9],\n [6, -7, 9, -2, 9, 7],\n [2, -6, -5, -1, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-2, 8, -7, -9],\n [0, 0, 0, -5],\n [8, -9, 1, 2],\n [8, -6, 1, 3]]\nB =\n[[9, -5, 0, 2],\n [3, -5, 7, 6],\n [2, 5, 0, 0],\n [-6, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 5, -5, 0],\n [-3, 7, 8, -8],\n [-7, 3, 3, -5],\n [5, -7, 7, -6]]\nB =\n[[0, 9, -5, -8, -10, -1],\n [-6, -2, -4, -4, -7, 8],\n [-5, -7, 10, 7, 1, -2],\n [-2, 4, 8, 9, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-443", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -2, 5, -8, -6],\n [-5, 7, -2, -3, 4],\n [7, -8, 3, 3, -8],\n [-8, 3, 8, 6, 10],\n [-7, 1, -9, -2, 5],\n [-1, 6, 2, 0, -5]]\nB =\n[[5, 2, 5, -6, -10, 6],\n [1, -7, -10, 7, -4, 8],\n [-1, 9, -8, -2, -2, 4],\n [9, 7, -1, -5, -5, -4],\n [-6, 8, 10, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[9, 5, 9, -4, 9],\n [6, 8, -6, 7, -10],\n [-9, -3, 3, 4, -10],\n [-10, 6, 3, 10, -5],\n [9, -1, -5, 2, 3],\n [-5, 6, -9, -10, 0]]\nB =\n[[-10, -4, 2, -4, 1],\n [5, 6, -3, 8, 10],\n [10, 2, -4, -5, 9],\n [-2, -3, 5, -5, 5],\n [-8, 5, 4, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -7, -3, -6],\n [8, -5, -4, 1],\n [-10, -10, -7, 4],\n [-1, 8, 9, -9]]\nB =\n[[-6, -10, -6, -3, -2],\n [8, -5, 6, -1, -1],\n [7, -4, -4, 10, 0],\n [-7, 6, 8, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[0, 5, 6, 5, -5],\n [-2, -2, -10, -6, -8],\n [-5, -9, -1, -9, -1],\n [2, 7, -4, -8, 10]]\nB =\n[[-4, -6, 1, 4, -10],\n [-2, 8, 0, 6, 6],\n [6, -6, -10, -2, -8],\n [-1, -5, 9, 8, 9],\n [3, -4, 3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 3, 7, -9, 7],\n [7, 9, -2, 9, 6],\n [-10, 10, 5, 2, -5],\n [10, -6, -9, 2, -8],\n [9, 5, 5, -3, -6]]\nB =\n[[-7, 6, 8, -4, 3, 0],\n [-5, -9, 8, -7, -3, -8],\n [-4, -9, -3, 3, 2, 0],\n [4, 2, -6, -8, 9, -2],\n [-2, 8, -4, 6, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[4, 9, 3, -6, 0],\n [-5, 9, -4, 4, 1],\n [-2, -1, 8, -8, 9],\n [10, -6, -4, 10, -8],\n [2, -1, -8, 3, 2]]\nB =\n[[5, 2, -9, 5, 0, -7],\n [2, -3, -6, -4, -5, -4],\n [-1, -6, -3, -3, 0, -1],\n [-9, -8, 0, 3, 4, -10],\n [3, 1, -6, -1, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 1, 9, 10, -8, -10],\n [9, 2, -2, 10, -8, 1],\n [9, 0, -6, -8, -8, -3],\n [8, -10, 8, 10, 3, -1],\n [6, -2, -9, -8, 4, 8]]\nB =\n[[-3, -2, -7, 7],\n [4, -6, 4, 1],\n [1, 1, 9, -8],\n [6, -2, -3, -10],\n [5, -9, 8, -6],\n [4, -7, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-254", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, -4, -3, -3],\n [-9, 2, -10, -6, 8],\n [-3, -6, 5, 9, -5],\n [2, 2, -7, -9, -4]]\nB =\n[[-1, -10, 10, 7, 7, -7],\n [6, -8, -3, -9, 9, 5],\n [-5, -2, -7, 9, 6, 4],\n [6, -5, 7, 3, -9, 9],\n [-1, -10, -10, 2, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -6, -10, -2],\n [-2, -10, -1, -10],\n [4, -5, 10, -2],\n [7, -1, -4, -6],\n [-2, 10, 2, 1]]\nB =\n[[-5, -7, 10, 2],\n [-10, 6, 3, 10],\n [-8, 10, 6, -3],\n [-1, 2, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -5, -3, -3, -7],\n [-1, 8, -8, 6, 10],\n [7, -5, -3, -1, 4],\n [1, -8, 8, -9, -5]]\nB =\n[[-2, -2, -8, -5],\n [-8, -8, -8, -7],\n [8, 0, 9, 10],\n [-8, -2, -9, 8],\n [1, 3, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -6, 7, -6],\n [-7, 4, 5, 2],\n [-9, -1, -9, 2],\n [6, -10, 4, -9],\n [0, -7, -3, -2],\n [8, 5, -3, -10]]\nB =\n[[-7, -4, 3, 1, -5, -6],\n [-3, -9, -7, 8, 8, -9],\n [4, 3, -7, -5, -9, -3],\n [3, -4, 10, -9, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -3, 6, 5, 1, -3],\n [-3, -1, 4, 1, -10, -8],\n [-5, 9, 8, -5, 7, -7],\n [-8, 2, -10, 7, 6, 3],\n [-2, 0, 4, -10, 10, 3],\n [9, 0, -6, 7, 8, 5]]\nB =\n[[3, -9, 5, -3],\n [3, 9, -1, 7],\n [5, -1, -1, 3],\n [-2, 3, -1, 0],\n [-10, -6, -10, 4],\n [7, 9, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-413", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-8, -7, 5, -3, -6],\n [-2, -2, -6, -7, -2],\n [-3, 8, 9, 1, 9],\n [-2, -1, -10, 8, 2],\n [10, 3, -4, 8, 6],\n [3, 4, -1, -4, -3]]\nB =\n[[0, 9, -10, -8, -3],\n [5, -10, 7, 2, -3],\n [7, 1, 2, 1, -8],\n [-9, -9, -6, 7, 2],\n [10, -2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 6, -5, 5],\n [-5, -6, 10, -1, -3],\n [5, -9, 7, 4, -9],\n [-1, 2, -10, -1, -8],\n [-5, -1, 10, 9, -3]]\nB =\n[[8, 9, 9, -6, 0, 10],\n [-2, -6, -1, 6, 6, -9],\n [10, 6, 5, -6, -1, 9],\n [-4, -1, 5, 9, -4, 5],\n [1, 0, -7, 7, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-7, 4, -10, -7, -4, -8],\n [-6, -1, 7, 5, -8, -4],\n [0, 9, 7, -5, -9, -6],\n [1, 6, 8, 7, -4, 7]]\nB =\n[[-8, -2, -8, 1],\n [-7, 9, 0, 1],\n [-1, -9, -5, -9],\n [-5, -6, 1, -3],\n [-1, -5, 5, -10],\n [-8, -8, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -3, 6, -7, 0, -4],\n [-2, -9, 2, 7, 1, 5],\n [10, 7, 6, 10, -8, -2],\n [-8, 9, -7, 6, -7, -7],\n [-7, -8, 9, 4, 9, 0],\n [-2, -5, -9, -9, -2, -3]]\nB =\n[[4, -6, 1, 4, 10],\n [8, -2, 8, 7, -4],\n [8, 3, 9, 7, -6],\n [-2, 6, 8, -10, -4],\n [10, 5, 9, -2, 1],\n [-2, -6, -3, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -10, 10, -6, -7],\n [-7, 1, -6, -7, -8, 5],\n [6, -3, 5, 1, 5, 4],\n [-2, 8, -7, 4, 2, 6]]\nB =\n[[-7, 9, 2, 9, -7, 2],\n [-9, -1, 2, 3, 10, -8],\n [2, -2, 1, -9, 2, -7],\n [8, -5, 5, 3, -7, -5],\n [-3, -5, 5, 10, -6, -6],\n [-4, -10, 6, -4, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1549", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[8, -9, -6, -2, 7],\n [8, -10, 1, 9, 7],\n [1, 8, 2, 8, -6],\n [5, -4, -8, 7, -4],\n [-2, -6, 2, 1, 3]]\nB =\n[[-6, 1, 2, -7],\n [4, -3, -8, -10],\n [2, -7, -5, -8],\n [4, -8, 3, -10],\n [10, 0, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -6, -8, 0],\n [4, -4, 4, 7],\n [-2, 2, -2, -3],\n [-3, 5, -3, -6],\n [-1, 7, 5, -10],\n [-10, 5, -8, -3]]\nB =\n[[1, 2, -7, -7],\n [5, -6, -7, -10],\n [4, -1, -9, 10],\n [-1, -10, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "987", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-4, 9, 2, 8],\n [4, 4, -1, 9],\n [-9, -6, 8, 0],\n [-2, 3, 3, -5]]\nB =\n[[0, -9, -5, 6, 9],\n [-10, 3, 8, 3, -6],\n [4, -1, 0, -10, 2],\n [7, -2, -5, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -9, 8, -6, 5, 3],\n [3, -5, 7, -10, -9, -10],\n [8, -10, -2, 10, 10, -2],\n [9, -4, 9, -5, -5, 3]]\nB =\n[[-2, 10, -5, 5, -7, -5],\n [10, -6, -9, 0, -7, 9],\n [0, 10, 4, 8, 9, -7],\n [8, 2, 3, -7, -5, -8],\n [-5, -5, -10, 8, 10, -6],\n [-8, 1, -8, 3, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 1, -5, -4, -8, 10],\n [-9, -2, 6, 8, -3, -4],\n [8, 1, 7, 2, 4, -8],\n [7, -6, 9, -4, 10, 1],\n [7, -2, -1, -6, -7, -6],\n [1, -7, 6, -4, 6, 5]]\nB =\n[[5, 4, -8, 4, -8, -6],\n [6, -8, -8, -5, -3, -3],\n [-8, 4, -1, -10, -1, -2],\n [7, 1, 1, -8, -6, 9],\n [8, -5, 1, -2, 7, -1],\n [9, -9, -4, -1, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -1, 3, -9],\n [-6, 3, 5, -8],\n [-4, -5, 7, -7],\n [8, 9, 0, 8],\n [-6, -1, -5, -9]]\nB =\n[[3, 2, 3, 1, 0],\n [-1, -3, 2, 1, -4],\n [-6, -3, 9, -9, 5],\n [1, 3, -7, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 9, -10, 3],\n [3, 6, 4, -10],\n [-3, -3, 6, 4],\n [5, -6, 4, 2],\n [4, 7, 9, -4],\n [2, -6, 0, 3]]\nB =\n[[6, -3, 3, -7, -9, 10],\n [-3, -1, 2, 10, -7, -7],\n [10, 8, 9, -9, -1, -3],\n [-5, -7, 8, -9, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2324", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, -3, -9, 7],\n [4, 2, 5, 0],\n [-2, 0, 5, 3],\n [-8, -6, -7, 10]]\nB =\n[[9, 9, -8, -3, -5],\n [6, 5, -10, 10, 0],\n [-1, -3, 0, 2, -4],\n [-2, -8, 5, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 8, -8, 10, 5],\n [-8, -8, -7, 2, 7],\n [-7, 3, -7, -8, 10],\n [7, 5, 9, 2, 0]]\nB =\n[[-5, 6, 2, -7, -5],\n [-10, -1, 3, 9, -6],\n [-8, 9, -3, 3, 10],\n [8, 6, -6, -5, -8],\n [3, -4, -4, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -10, 7, -3],\n [3, 1, -3, 2],\n [1, -5, 7, 4],\n [1, -3, 10, -4],\n [6, -1, -1, 9],\n [10, 5, 0, 1]]\nB =\n[[-7, 1, 2, 2, 4, -9],\n [10, -2, -2, 10, -2, -10],\n [-3, 2, -2, 4, 10, -8],\n [-4, -5, -6, 3, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 4, 8],\n [0, 3, -10, 7],\n [-6, 10, 10, -4],\n [2, -5, -10, 9],\n [0, -1, 5, -5]]\nB =\n[[-7, 4, 5, 2],\n [-8, -6, 0, 3],\n [-7, 5, -1, -3],\n [2, -1, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, -2, 6, 1],\n [5, 5, 8, 1, 9],\n [5, -4, 5, 9, -10],\n [-7, -9, 2, 0, 0]]\nB =\n[[-8, -6, 4, 6, -3, 3],\n [-6, 6, -5, 4, 10, -5],\n [6, -6, -3, 9, 3, 1],\n [-4, 7, 10, -8, -6, 4],\n [-10, 7, -8, 8, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 8, 8, -5, -4],\n [-10, -1, -6, -9, 8],\n [-2, 10, 2, 9, 4],\n [-4, 6, -9, -9, 1]]\nB =\n[[4, 2, 6, -6],\n [-7, 2, -4, 3],\n [3, -2, -6, 4],\n [-2, 1, 3, 3],\n [-1, -1, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 6, -3, -3, -5],\n [8, 9, 6, 10, -6],\n [5, 9, 10, -2, -10],\n [0, 3, 1, -5, 3]]\nB =\n[[2, -1, -9, 8, 3],\n [-10, 0, 7, -1, 7],\n [0, 3, 2, -1, -7],\n [-1, -8, -10, 4, -4],\n [5, 0, 7, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 1, 10, -4, 2],\n [-2, 6, 4, 3, -1, 2],\n [-5, -3, 0, 3, -6, 7],\n [-4, 2, 1, -4, 8, 7]]\nB =\n[[10, -1, 1, -2, -4],\n [4, 6, -4, -8, 8],\n [2, -9, 10, -1, -10],\n [-4, -3, 4, 6, 7],\n [4, 10, -3, -8, -1],\n [8, 4, -4, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 5, -1, 2, -7],\n [9, 10, -2, 0, 0],\n [5, -6, 1, -9, -4],\n [-8, 6, 8, 9, -1],\n [-4, 7, -10, 1, -8],\n [3, 1, -9, 0, 7]]\nB =\n[[-10, -6, 1, -3],\n [6, 1, 2, -7],\n [-9, 9, 2, -10],\n [7, 2, -2, -6],\n [-5, -9, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 2, -9, 0],\n [3, 3, 6, -5],\n [-7, -7, 10, -6],\n [-8, 0, -6, -8],\n [-8, 3, 4, 4],\n [-5, -9, 6, -2]]\nB =\n[[10, 6, 3, -6, -2],\n [8, 1, 2, -9, -2],\n [-8, 1, 6, -4, -9],\n [-1, -5, 10, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -7, 4, -4, -3, -2],\n [0, 3, -6, 7, -9, 10],\n [0, 1, 8, 0, -1, 3],\n [-9, 1, 9, 5, -2, -8]]\nB =\n[[-8, 2, 0, -3, 10],\n [2, 10, 1, 9, -9],\n [-3, 2, 0, -4, 3],\n [6, -2, -3, 4, -9],\n [10, 0, 1, -5, -5],\n [-6, 3, 1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[4, -9, 3, -1],\n [10, 7, 0, -4],\n [5, -9, 3, 7],\n [-9, -7, 2, 1]]\nB =\n[[-3, 1, -1, 9, 1],\n [-2, -2, -4, 9, -5],\n [8, 10, -10, -7, -8],\n [10, 2, -9, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -1, -10, -10, 2],\n [-3, -2, 3, 8, 6, -3],\n [2, 0, 8, -4, 1, -4],\n [6, -5, 9, -7, 9, 0],\n [6, -10, -3, 8, -4, 3]]\nB =\n[[4, 9, 2, 4, 0, -8],\n [6, -4, 0, 9, -2, 9],\n [10, 10, -2, -6, 9, -1],\n [7, 6, -8, 3, 5, -4],\n [10, 8, -2, -4, -1, 4],\n [1, 9, 3, -1, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 3, 7, 9, 0],\n [2, 3, -7, -1, -7],\n [3, -9, 6, 5, 3],\n [2, 1, -4, 10, 0],\n [-2, 6, 8, -9, -9],\n [-3, -7, 1, 6, 8]]\nB =\n[[3, 4, -7, -8, 9],\n [5, 3, 1, 0, -7],\n [2, -5, 4, 10, -9],\n [1, -6, 0, -1, 3],\n [-1, -7, -2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[3, -4, 5, -6],\n [-9, 4, 3, -6],\n [-8, 4, 2, 8],\n [8, -1, -4, 3],\n [-4, -4, 1, -9]]\nB =\n[[-6, -6, 8, 10],\n [-4, 2, 3, -6],\n [5, 9, 7, 10],\n [-1, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[9, -5, 3, 5],\n [5, -10, -9, 1],\n [0, 9, 4, -3],\n [3, 8, -8, 7]]\nB =\n[[-5, 4, -1, 6, 6],\n [1, -3, 6, -5, 5],\n [1, 8, 1, 0, -5],\n [-3, -8, 6, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-7, 1, -4, -6, 7, 9],\n [-8, -4, -8, -4, -9, 10],\n [2, 8, 2, 10, 2, -3],\n [5, -9, 8, -1, -8, -6],\n [-7, -5, -2, -7, 0, -3]]\nB =\n[[8, -8, 10, -2],\n [-1, -2, -2, 2],\n [8, 5, 7, 4],\n [7, -1, 7, -9],\n [-9, 1, 7, -9],\n [6, 4, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -8, 5, -6, -2],\n [-2, -7, -2, 10, 0],\n [-9, 2, 0, 6, -7],\n [-7, -8, -4, -5, -7],\n [-1, -9, -1, 10, -9]]\nB =\n[[6, -8, -7, 4, 10, 5],\n [5, -4, -2, -6, 3, 6],\n [10, -2, -6, -1, -3, -1],\n [-4, -6, 10, 1, -7, 6],\n [-3, -2, -5, -8, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2075", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 1, 8, 8, -6],\n [1, -3, 3, 1, 10],\n [10, -3, -9, 7, 3],\n [-8, 10, 6, 2, 7]]\nB =\n[[-1, 6, -4, 1, 7],\n [0, -5, 6, -1, 1],\n [5, 4, 1, 7, 1],\n [7, 3, -4, 8, 1],\n [-7, 0, 4, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 0, 5, 1, 5, 1],\n [-3, 3, -1, -9, -7, -9],\n [-8, -3, 7, -9, -5, 2],\n [2, 1, -6, 9, -3, -9],\n [-2, -8, 3, 10, -9, 0]]\nB =\n[[1, 5, -4, 3],\n [-2, 3, -3, -6],\n [-7, -4, 8, -4],\n [5, -8, -3, -8],\n [6, -4, -9, -8],\n [-5, -1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, 2, -3, 10],\n [7, 3, 8, -3, -1],\n [-8, 9, 4, 7, 7],\n [-6, 9, 10, 6, 8],\n [-6, -3, -8, -3, 3]]\nB =\n[[5, -10, 10, 7],\n [5, -1, -2, -1],\n [-3, 4, -7, -1],\n [10, -8, 5, 7],\n [0, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -7, -10, -1, 8, -8],\n [-5, -5, 7, 6, -7, 4],\n [7, 6, -4, 7, -8, -7],\n [-6, 9, -10, -9, -1, 6],\n [-10, 2, 3, 7, -7, 8]]\nB =\n[[-8, 5, 4, -5],\n [8, 10, 7, -10],\n [-5, -8, -6, 8],\n [0, 5, -2, 0],\n [-9, -1, 1, 2],\n [-3, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, 8, 0, 0, 0],\n [2, 7, 7, -7, 3, -4],\n [3, -6, 1, -1, -1, 8],\n [6, 2, 9, -1, -1, -5],\n [-8, -5, 5, 4, 1, -10],\n [8, -5, 2, -9, 7, -2]]\nB =\n[[-9, -3, 1, 0, -5, 6],\n [5, -6, 1, -6, 2, -7],\n [8, 8, 4, 3, 8, 1],\n [3, -2, -6, 0, -5, -3],\n [3, 0, -5, 7, 6, -2],\n [-3, 0, -8, 3, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1368", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[5, 3, -8, 8, 4, 8],\n [-7, -9, -9, -1, -6, -3],\n [-6, -8, 0, -1, 8, 7],\n [-1, -2, 2, 2, -8, -2],\n [-7, 3, -9, 8, 7, -2],\n [10, 1, 6, 2, -1, -2]]\nB =\n[[1, -10, 9, -10, 2],\n [-5, 3, -2, 4, 7],\n [3, -3, 4, -9, 10],\n [-9, 5, -7, 7, 10],\n [0, 10, 5, -6, -5],\n [4, 1, 8, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[10, 5, -3, -6, 4],\n [-10, 9, -8, -6, 0],\n [-5, 6, 4, 5, -10],\n [-9, 9, -2, 1, 8],\n [2, 6, -3, 4, 5]]\nB =\n[[-8, -7, -9, 9],\n [6, -2, -6, -10],\n [1, 6, 6, 10],\n [5, -2, -9, 3],\n [7, 1, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-10, 4, 2, 7, -6],\n [-7, -2, -6, 2, -6],\n [-8, 10, 10, -3, -1],\n [5, 10, 8, -8, 10],\n [-2, -2, 5, 3, -8]]\nB =\n[[4, 2, -5, 1, -1],\n [10, -9, 6, -5, -6],\n [8, 0, -4, 6, 5],\n [9, 8, -2, 9, 7],\n [-1, -4, 6, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, -9, -2],\n [10, 1, -7, -2],\n [-10, -7, 5, -6],\n [-2, 5, -8, 9]]\nB =\n[[4, 5, -4, 1],\n [-1, 9, 6, -10],\n [3, 5, -3, -2],\n [9, 0, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "759", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 8, -8, -10, 8],\n [-2, 8, -10, -8, -5],\n [1, 3, 8, -7, 7],\n [9, 9, 9, 10, 1],\n [-10, 1, -4, 0, 0],\n [-6, 2, 0, 9, -1]]\nB =\n[[2, 2, 2, 10, 6],\n [-4, -1, 4, 6, -7],\n [-10, 9, -2, 3, 4],\n [7, -8, -10, 6, -7],\n [10, 10, -8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 9, -5, 7, -4],\n [-2, 3, 3, -9, -10],\n [4, -1, -8, -1, -9],\n [10, -4, -1, -5, -2],\n [7, 1, -2, -9, 5],\n [9, -10, 5, -5, -4]]\nB =\n[[-5, -5, 6, -1, 7, -10],\n [-2, -4, 8, -6, 1, -4],\n [-3, 3, 0, -8, 4, 7],\n [-1, -3, 6, -6, -1, 10],\n [-1, 8, -1, -2, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -8, -3, 6],\n [5, 6, -2, -3],\n [3, 0, 4, 6],\n [-9, 0, -8, 1],\n [-7, -6, -4, 6],\n [9, 7, 6, -6]]\nB =\n[[1, 10, -6, -6],\n [1, 9, -4, -1],\n [6, 4, -2, 9],\n [7, 7, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -4, -2, -7, 3],\n [0, -3, 3, 6, 10],\n [-5, -3, -7, -1, 0],\n [-9, -2, -6, -4, -5],\n [0, 3, 6, 3, 2]]\nB =\n[[-4, -3, 5, 3, -1, -3],\n [-6, -5, -9, -2, 9, 0],\n [-2, 6, -2, -8, -6, 2],\n [-9, -6, 7, -9, 8, 6],\n [-2, 5, 9, 1, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 3, 2, -10],\n [9, 5, 9, 6],\n [0, 3, 4, 5],\n [1, -5, 10, 6],\n [4, -8, -9, -8],\n [-6, -1, -10, -2]]\nB =\n[[-8, -2, -3, 0, -9],\n [-8, -4, 0, 7, 0],\n [1, 8, -1, -4, -8],\n [2, 9, -3, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, 9, 4, -4],\n [-6, 6, -9, -4, -5],\n [-5, 5, 7, 9, -3],\n [6, 8, -3, 7, 4]]\nB =\n[[6, -2, -6, 3, 5],\n [-10, 1, 2, -5, -6],\n [5, -8, 3, -10, -10],\n [-7, 1, 4, 3, 5],\n [-5, -5, -7, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -1, -8, 6],\n [9, -4, -1, 10],\n [4, -6, -3, 8],\n [10, -10, 3, -9],\n [3, 9, -1, 3]]\nB =\n[[2, -5, 0, 0],\n [-3, 3, -1, -5],\n [4, 5, -10, 8],\n [8, 10, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[1, -5, -7, -10, 7, -10],\n [-6, 8, -8, -4, 4, 4],\n [-6, 2, -2, 10, 7, 7],\n [9, 3, -7, 9, -9, 6],\n [-8, -2, -7, -1, 1, -3]]\nB =\n[[1, 6, -10, 8, 8, -4],\n [-7, 5, 1, -2, -8, 5],\n [9, -7, -10, -7, -3, -5],\n [-7, 0, -10, -4, -6, 8],\n [-10, 3, -9, 3, 3, 8],\n [0, 10, 5, 6, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -7, -1, -8],\n [-7, -6, 9, -7],\n [-5, -2, -8, -10],\n [6, 8, 0, -2],\n [7, 5, 0, -9],\n [-2, 9, -8, -5]]\nB =\n[[2, -10, -9, -4],\n [-7, 10, -8, 2],\n [-7, -3, -1, -2],\n [-10, 7, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -1, 8, 3],\n [7, -2, 1, 3],\n [9, 7, -9, 5],\n [-3, 10, 5, 10],\n [-7, 9, 1, -3],\n [4, 8, 1, -2]]\nB =\n[[3, -5, -7, -2, -10],\n [-5, -5, 2, 7, 10],\n [-9, 4, -6, 2, -2],\n [2, 10, -6, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, 2, 4, 3, -3],\n [-1, -3, -2, 3, -3, 8],\n [4, -10, -3, -10, -2, 10],\n [-9, 0, -2, -4, 4, 6],\n [5, 1, 9, -2, 7, 1],\n [-10, 0, 10, 8, -9, 0]]\nB =\n[[6, -5, -9, -5, -4],\n [-10, 1, 0, 6, -4],\n [-2, 3, -5, -4, 4],\n [-5, 6, -7, -8, 9],\n [-2, 4, 7, -6, 0],\n [-10, 7, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 7, -8, -4],\n [-7, 6, 0, 4, -4],\n [6, -3, -1, -9, 10],\n [-1, 4, 8, 2, 3]]\nB =\n[[-6, 5, -9, -2, -10],\n [3, -5, -7, 0, -8],\n [1, -5, -1, -10, 1],\n [9, -7, -2, 4, -1],\n [6, -2, -9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 10, -6, 10],\n [-7, -5, 3, 0],\n [-10, 3, -10, 9],\n [-7, -3, 9, 2]]\nB =\n[[2, 4, 1, -5, 3],\n [10, -10, -9, 2, 10],\n [1, -8, 6, -7, -9],\n [7, 7, 3, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1266", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 1, -3, 8, -5],\n [-2, 4, 4, 7, -10],\n [0, 1, -8, 8, 10],\n [1, -1, 3, 10, -10],\n [-4, 6, 9, -9, 1]]\nB =\n[[-6, -7, 9, 6],\n [1, -7, -10, 3],\n [-7, 0, 3, 5],\n [9, 1, -10, 8],\n [10, 10, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1892", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 8, 7, 5],\n [-8, 8, 0, -3],\n [10, -5, 4, -8],\n [6, -2, -3, -7],\n [0, -1, 0, 6],\n [4, -8, 9, 0]]\nB =\n[[2, -9, 4, 7, 0],\n [1, 1, -6, -4, -9],\n [7, -6, 7, 9, 9],\n [-2, -10, -6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1931", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -1, -6],\n [9, -3, 0, 9],\n [-1, 9, -9, 1],\n [8, 1, 9, 5],\n [-8, -6, -4, -4],\n [9, 0, -8, 7]]\nB =\n[[-4, -6, -4, -2],\n [-3, 3, -3, -9],\n [9, -3, 9, 10],\n [-10, 10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-4, 1, -6, -9, 8],\n [-4, -3, 7, -2, 9],\n [-6, 3, -1, -1, -8],\n [7, 10, 0, 1, 2]]\nB =\n[[-6, -3, -8, 9, 5],\n [0, 4, 4, -4, -3],\n [0, 10, 0, 1, -1],\n [5, 5, 4, -8, 9],\n [5, -9, -9, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -3, 5, -3, -9, 9],\n [-2, -1, 4, -6, -10, -3],\n [10, -1, -4, 0, -6, -3],\n [4, -1, -10, 9, 4, -3],\n [4, 7, 10, 2, 7, 2],\n [-6, 10, 10, 5, -10, 4]]\nB =\n[[-2, -4, 3, 7, 7, -1],\n [4, 8, 0, 2, 1, 0],\n [8, -3, 8, 1, 10, 8],\n [5, 0, -8, -1, 3, -9],\n [-4, 9, -10, 8, 2, 10],\n [0, -5, -6, -10, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2907", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[5, 3, -2, -8, 5, 0],\n [-3, -9, 6, -7, -8, -7],\n [-5, -3, -7, 9, -6, 2],\n [2, 8, 9, -1, -4, 10],\n [2, -9, -8, 6, 2, -10]]\nB =\n[[-6, 2, 3, -10],\n [0, -8, -6, -3],\n [6, 2, -3, -3],\n [7, 0, -5, -10],\n [1, 3, -9, 10],\n [1, 6, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, 4, 1, -7, -6],\n [8, 2, 8, 7, 10, 1],\n [-9, -5, -1, -1, -2, 5],\n [2, -5, 6, 2, 0, 3]]\nB =\n[[4, -4, 10, -1],\n [0, -9, -1, -8],\n [-8, -2, -3, -8],\n [10, 0, -7, -10],\n [-8, 4, -6, 3],\n [6, 9, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-3, 9, 4, -4, 3, 6],\n [1, -10, -8, 8, 0, 9],\n [8, 1, 7, -3, 1, 2],\n [3, 2, 7, 4, 0, -6],\n [7, -6, 4, -8, -6, 1]]\nB =\n[[-10, 10, -1, -9, -2, 6],\n [-5, 5, -7, -1, 9, 0],\n [0, -2, 4, 8, 5, -10],\n [6, -5, 9, -10, 1, 4],\n [-8, -5, 5, 1, -2, 10],\n [10, -4, -1, 3, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 6, -5, -1, 1, -6],\n [-1, -9, -7, 0, -1, -10],\n [3, -4, 6, 0, -7, -10],\n [8, -8, -4, -5, 3, -10],\n [7, 4, 7, 9, 6, 5]]\nB =\n[[10, 9, -7, 6],\n [3, 2, 6, 3],\n [-1, 10, 3, -9],\n [-2, -2, 10, 5],\n [-2, 2, -9, -4],\n [10, -8, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[7, -8, -1, 2, 8, -2],\n [-1, 7, -10, 10, -4, -1],\n [-10, -9, -9, 0, -6, 9],\n [3, 9, 9, -9, 8, 2]]\nB =\n[[-5, -5, -5, -2],\n [5, -1, 4, 4],\n [-5, 9, 4, 0],\n [-3, -4, -7, -4],\n [-9, 2, 1, 5],\n [5, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[1, 10, -2, 10, -4, 6],\n [-8, -5, 8, -2, 9, -6],\n [-6, -10, -9, -2, -4, -1],\n [0, 5, -10, 8, -9, 6],\n [1, 5, -10, -5, 5, 8]]\nB =\n[[-8, 6, -9, -7],\n [6, 7, -7, -10],\n [8, -6, -4, -3],\n [-4, 8, -3, 6],\n [10, -10, 7, 3],\n [-3, -8, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 8, -5, 9, 2],\n [9, -6, 10, 3, 10, -1],\n [-8, -10, -1, 0, 6, 10],\n [4, 3, 8, -6, 7, -2],\n [8, -6, 4, 6, 3, 0],\n [-7, 10, 7, 6, 9, 1]]\nB =\n[[-5, 6, -7, -5, 0],\n [10, -1, 0, -3, -8],\n [-7, -6, -7, 6, -7],\n [-10, 3, -3, 0, 9],\n [-8, -5, -4, -4, -10],\n [2, -3, 6, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2075", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 10, 9, -5],\n [6, 2, -4, -2],\n [-1, 1, -7, -3],\n [3, -1, 3, -1],\n [-5, -2, 9, -1]]\nB =\n[[9, 3, -8, -8],\n [-1, 6, 0, -7],\n [-6, 3, 7, -5],\n [4, -2, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 7, -3, 2, -8],\n [1, 0, 0, 4, 5],\n [8, -1, 9, 5, 6],\n [-1, 1, 4, 2, -4]]\nB =\n[[2, 10, 4, 2],\n [-9, 5, 0, -1],\n [-8, -8, -9, -10],\n [10, -3, -10, 2],\n [-6, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -7, -1, -2],\n [-6, -8, 10, 10],\n [3, 10, -5, 6],\n [-7, 6, -2, 5]]\nB =\n[[5, 7, -6, 1, 7],\n [-10, -3, -4, -9, -1],\n [4, 9, -10, -9, -10],\n [-6, 3, -1, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1336", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -3, -4, 9, -9, 4],\n [0, 3, -9, -6, -9, 9],\n [1, -10, 9, -6, 0, -5],\n [-3, -5, 3, -10, 10, 2]]\nB =\n[[6, 8, -1, -10],\n [0, 1, -3, 0],\n [10, -10, 4, -4],\n [5, -6, -9, -6],\n [3, 3, 1, 0],\n [6, -10, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -1, 1, -10, 4, -2],\n [4, 6, -7, 8, 6, 3],\n [5, -2, 1, 6, 8, -1],\n [9, 10, -5, 10, -4, -10],\n [-1, 10, 8, -9, 9, -7]]\nB =\n[[7, 10, 5, 7, 1],\n [10, 9, 1, 6, 8],\n [6, 7, 1, 0, -5],\n [-1, 7, -1, -6, -3],\n [-8, 7, 2, 3, -9],\n [3, -1, 4, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[2, 10, 1, -10, 0],\n [-1, -10, -9, 9, 2],\n [0, 2, -10, 1, 5],\n [-3, 5, 1, 9, 6]]\nB =\n[[-5, 1, -10, 2, -10],\n [-4, -1, -9, 9, -8],\n [-6, -1, -10, 9, 2],\n [-4, -10, -3, -8, -2],\n [-3, 9, 0, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 0, -3, 5, 4],\n [1, -2, -2, -4, -7],\n [-10, 6, 8, -4, 5],\n [-2, -4, -7, -10, -6],\n [-6, 4, 5, -5, 3],\n [4, -7, 10, -5, -1]]\nB =\n[[3, -7, 1, 1, -7, -10],\n [7, -7, 4, -3, 2, -7],\n [-8, -4, -7, -3, -4, -5],\n [2, -1, -8, 10, 1, 3],\n [0, 6, 1, -8, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 4, 10, -9],\n [1, 4, -6, 10],\n [-2, -10, 5, 2],\n [-2, -4, -8, 9],\n [8, -1, 10, 5]]\nB =\n[[3, -4, 1, 1],\n [-1, 3, 10, 8],\n [8, -9, 4, 1],\n [-2, 8, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 5, 9, 6, 1, -6],\n [6, -10, 8, -8, 1, 4],\n [10, -2, -5, 2, -9, 7],\n [9, -10, -6, 4, -10, -4],\n [2, -4, 0, -6, 2, 2]]\nB =\n[[2, 3, -6, 8, 5],\n [-9, 6, -1, 9, -5],\n [-2, -7, -2, -7, -8],\n [3, 8, 4, 9, 1],\n [-6, 8, 8, -1, -9],\n [10, -10, 6, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2184", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 7, -3, -9, -6, -10],\n [-7, -8, -7, -2, 0, 10],\n [5, -3, 0, 1, 5, 5],\n [8, 3, -9, -10, -4, 10],\n [-10, -7, -4, 4, 10, 0],\n [-4, -2, 3, 3, 10, -6]]\nB =\n[[-7, 10, -5, 9, 4],\n [-3, -7, 3, -10, -9],\n [10, -9, 4, 5, -7],\n [3, 7, -8, -2, -3],\n [0, -9, 7, 10, 1],\n [4, -9, 8, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2277", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 5, 10, 8, 6, -2],\n [8, 10, 1, 10, -2, -5],\n [5, 0, -4, 1, 1, -10],\n [-4, 8, -9, 8, -2, 3]]\nB =\n[[3, 6, 8, 8],\n [4, -2, -8, 5],\n [7, 9, 2, -7],\n [0, 8, 4, -4],\n [-9, -2, -6, -3],\n [1, 1, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 9, -2, 8, -5],\n [-7, -7, -8, -5, -9],\n [1, 6, -8, 2, 6],\n [-6, -1, 9, 7, 9],\n [-5, 2, 2, -10, -5],\n [-7, 3, 10, -2, -5]]\nB =\n[[-7, -5, -4, -3],\n [-9, -2, 10, 1],\n [-5, 6, -2, -7],\n [0, 2, 2, -4],\n [-8, 4, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 5, 4, 3],\n [-3, 4, 0, 6],\n [7, 9, -2, -10],\n [-4, -7, 5, -5]]\nB =\n[[6, -9, -7, 3, 10],\n [0, -9, 6, -2, -1],\n [-9, -10, -10, 6, -7],\n [5, -8, -5, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1198", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 1, -10, -3, -7],\n [9, -8, -4, 10, 7],\n [4, -6, -7, -2, -8],\n [-6, -10, -9, 10, -2]]\nB =\n[[1, -9, -4, 9],\n [-8, -3, 0, 2],\n [-10, 2, 7, -1],\n [-2, 5, 3, 0],\n [9, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -6, 3, 8],\n [-10, 3, 0, 7],\n [-6, 5, -1, -7],\n [4, -3, -9, 2],\n [6, -4, -8, 8]]\nB =\n[[5, 9, 2, 8, -10],\n [-7, -3, -8, -6, 9],\n [-8, 10, 3, -10, 9],\n [1, -6, 5, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2093", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -8, 6, -1, -4, -9],\n [-10, -6, -7, 6, 6, -9],\n [-8, -7, 7, -4, 0, -4],\n [8, -10, 3, -8, -9, 9],\n [6, 0, -7, -7, 7, 9],\n [0, 3, 2, 2, 3, 0]]\nB =\n[[10, 2, -7, -2, -9, -5],\n [-3, 9, -7, -10, -4, -5],\n [0, 6, -10, 8, 8, 4],\n [-2, -10, 8, -9, 3, -3],\n [8, 0, 6, 10, -8, -3],\n [-10, -9, 8, 5, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, -1, -7],\n [7, 4, 5, -10],\n [0, 8, 2, 8],\n [-5, 5, -10, -2],\n [-7, 10, -7, -1],\n [4, -1, 6, 9]]\nB =\n[[1, 9, -8, -8, 3],\n [3, 2, 4, 4, 5],\n [2, -9, 3, 9, 4],\n [-4, 8, 9, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 5, -6, -4, -2],\n [2, 6, 2, 8, 4],\n [2, -5, -2, 6, -10],\n [-5, 2, -9, -10, -1]]\nB =\n[[10, 0, -10, -4],\n [1, -4, 8, 8],\n [-5, -8, 4, 8],\n [10, -2, -5, 0],\n [-2, -9, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1351", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 5, -2, -3, 10],\n [-9, 5, 9, 3, -10],\n [5, -1, -1, -10, 9],\n [3, 3, 8, -6, -7],\n [6, -7, 4, 1, -10],\n [-2, 1, 3, 4, -5]]\nB =\n[[-6, 6, -4, 1, 7, -6],\n [0, -3, -1, 9, -6, -7],\n [8, 2, -5, -5, -7, -4],\n [-4, 5, -3, 2, 5, 0],\n [-4, -10, -6, -6, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2296", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -2, -3, 4],\n [-5, 4, -10, 0],\n [1, 7, 10, 10],\n [-2, 6, 5, -8],\n [-10, -5, -5, 4]]\nB =\n[[9, 3, -2, -4],\n [-9, -1, -6, -9],\n [9, -2, 10, -5],\n [-5, 2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -8, 6, 6, -1, -9],\n [10, -7, 6, 2, 6, -7],\n [-2, -5, 1, -10, 7, -2],\n [2, 6, 9, 5, 1, 8]]\nB =\n[[8, 9, 5, -3, -2],\n [-3, -2, 7, -3, -6],\n [10, 2, -3, 10, 4],\n [4, 0, 1, 8, -3],\n [-3, 0, -4, 9, 0],\n [-6, 8, -8, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 5, -2, -6],\n [-2, -4, 2, -1],\n [-7, -5, -4, -9],\n [2, -6, -3, 9]]\nB =\n[[-6, 6, 6, -7, 9, 9],\n [1, -2, -6, -8, -2, 7],\n [-9, -5, 3, 7, -3, 7],\n [5, -2, -7, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -4, 5, 9],\n [10, 0, -2, -9, 3],\n [-4, -9, -3, -1, 7],\n [-7, -5, -4, 8, -7],\n [7, 10, 10, 0, -8],\n [4, -10, 5, 8, -3]]\nB =\n[[8, -6, 9, -10],\n [1, 3, -6, -2],\n [4, 10, -5, 9],\n [-8, -10, -4, -5],\n [2, -8, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 5, -7, -6, 2],\n [-5, -2, 6, 0, -9],\n [7, -7, 3, -10, -9],\n [-8, -8, -10, -5, -4],\n [8, 5, 6, 5, 1]]\nB =\n[[-5, 6, 1, 10, 6, -9],\n [9, 5, -7, 8, 10, 2],\n [-8, -9, -9, -5, -9, 1],\n [8, -8, 6, -10, -8, -1],\n [0, 7, -10, 10, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -1, -8, 10, -6],\n [3, -6, -1, -1, -9],\n [-3, -7, -4, 9, 7],\n [4, 8, -8, 0, -8],\n [-4, -9, 7, -8, 10]]\nB =\n[[2, -6, -2, 10, 0, -4],\n [5, -6, 1, 1, 7, -5],\n [2, -1, 0, 5, -5, -2],\n [3, -9, 1, -4, -7, 1],\n [-10, 2, -8, 8, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2065", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -7, 5, 7],\n [-7, -2, -4, 5],\n [9, 7, -2, 5],\n [10, 4, -4, -10],\n [7, -3, 7, 0],\n [10, 7, 6, 1]]\nB =\n[[-7, -6, -4, 3, -7, 8],\n [-8, -4, -9, -8, -2, 8],\n [6, 2, -6, 3, -1, 3],\n [5, 5, -9, 1, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 8, -2, 8],\n [-7, 6, -1, -3],\n [10, -3, -9, 5],\n [9, -6, -5, 10],\n [5, -10, 7, -5]]\nB =\n[[3, 3, -7, 0],\n [9, -6, -1, 8],\n [-6, 7, -9, 3],\n [10, 4, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -8, -10, -3, 2, -9],\n [0, 7, -2, -10, -2, -8],\n [2, -1, 5, -9, -3, 1],\n [-8, -4, -2, 1, -3, 8],\n [3, -1, 9, -7, 4, -10],\n [-2, -7, -5, 5, 10, -1]]\nB =\n[[9, -7, 10, -8],\n [-6, 9, -7, -1],\n [6, 6, 0, -9],\n [-6, 3, -2, 8],\n [9, 7, 3, -8],\n [-6, 10, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 8, 6, -6, -10],\n [-10, -4, -3, 8, 5, 6],\n [-8, -6, -5, -8, -4, -6],\n [3, 10, 3, 0, -8, 2]]\nB =\n[[8, 5, 8, 4, -10],\n [7, -8, 3, 5, 7],\n [0, 2, 6, -6, -3],\n [6, 7, -1, 8, -2],\n [-1, 6, 1, 6, 0],\n [6, 9, -1, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -8, -8, -2, -8],\n [-8, 8, 9, -10, 6],\n [-3, -4, -1, -2, 1],\n [-10, -9, -3, -8, 2],\n [-3, -6, -6, -7, 5]]\nB =\n[[2, 5, 9, -8, 6],\n [6, -2, 7, 9, -5],\n [-2, -7, 5, 4, -6],\n [4, -5, 10, -2, -1],\n [-8, 7, 8, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1895", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, 10, 0, 7, 10],\n [-5, 5, -4, 2, 0, 4],\n [2, -1, 10, -10, -3, 2],\n [-1, -3, -7, -6, -10, 10],\n [-4, 7, 9, 8, -3, -3]]\nB =\n[[-8, 8, -2, 2, 0, -8],\n [1, 3, 9, 9, 1, 9],\n [-7, 10, 5, 8, 10, 1],\n [-10, -3, -4, -1, 10, 2],\n [5, -5, 5, 4, 6, 1],\n [-5, 5, -7, -3, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, 7, 8, -5],\n [-9, 9, 5, 7, 1],\n [-1, 0, -4, -1, -7],\n [-8, 4, 4, -8, 6],\n [8, 0, 10, 1, -2],\n [1, -3, -8, -6, -4]]\nB =\n[[10, -8, -6, -4, -1],\n [-3, 0, 5, 10, -7],\n [-8, 3, 9, 3, 10],\n [10, 2, 5, -6, 5],\n [-6, 7, 3, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 8, 7, 6, 4],\n [-3, -1, 5, -3, -3],\n [-8, -2, 9, -2, 7],\n [9, -9, 10, 10, -9],\n [-8, -2, 0, 1, -7],\n [9, 10, -6, 2, 7]]\nB =\n[[-3, -7, 5, 9],\n [-9, 8, 9, 0],\n [-5, -6, 8, 1],\n [-3, -3, 8, -8],\n [-5, 9, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -10, -7, -9, 0],\n [-3, -7, -3, -6, -4],\n [-5, 7, -1, 6, -1],\n [-5, 6, -7, 2, -3],\n [7, -3, -7, 2, -1]]\nB =\n[[-1, -6, 10, 2],\n [9, 9, 10, 3],\n [1, -5, -7, 7],\n [-10, 5, -1, -2],\n [-3, 1, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 9, 8, 3, -9, 2],\n [8, -9, -8, -2, 10, 5],\n [3, -10, 9, -9, 9, -1],\n [0, 5, 0, 9, -4, 1],\n [-7, 1, -2, 3, -2, 4],\n [1, 10, -6, -9, -5, 4]]\nB =\n[[-5, -9, 2, 9, -5],\n [6, 3, -3, -8, 5],\n [-5, -8, 8, 9, 2],\n [-1, -1, 1, -2, 9],\n [-3, -8, -6, 1, 4],\n [-4, -10, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-254", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[3, -8, -4, 0],\n [-10, -2, 10, -10],\n [1, 10, 0, 9],\n [2, -9, -6, 9],\n [7, -5, -3, -10],\n [10, 0, 4, 8]]\nB =\n[[-1, -9, -3, 6, 4, 4],\n [1, 2, -7, -7, -6, -4],\n [-4, 7, -9, 5, -9, 5],\n [1, 2, -10, 5, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 1, -6, 2, -5, 0],\n [1, 8, 1, -2, 5, -3],\n [10, -7, 9, -7, 3, 7],\n [8, -8, 6, -4, 8, 1],\n [7, 10, 3, 2, -5, 6]]\nB =\n[[9, 10, -5, -8],\n [-7, -10, 2, 3],\n [-8, -6, -10, -9],\n [-7, -8, 8, -8],\n [-5, 9, 10, 1],\n [7, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, 4, 0, 8, -3],\n [-3, 9, -5, -1, 8],\n [-1, 10, 10, 8, 1],\n [8, -6, -5, -2, -3],\n [2, 7, 10, -2, 5]]\nB =\n[[-7, 7, 1, 1, 6],\n [2, -10, 7, -10, 9],\n [2, 10, -10, 0, -7],\n [-1, 7, 3, 4, 8],\n [4, 0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 2, -7, -2, -5],\n [1, 10, -5, -6, -6],\n [5, 10, 8, 0, 2],\n [5, 10, 7, -8, 8],\n [1, -2, 4, -5, -4]]\nB =\n[[2, 6, 9, 3],\n [-2, -6, -6, 9],\n [-6, 10, -3, 10],\n [-8, 5, 7, -7],\n [0, -9, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, 2, 5, 1, -8],\n [8, 7, -4, 10, -4],\n [-3, 5, -1, -10, 9],\n [1, -5, 3, -7, -7],\n [-6, -9, -1, -2, 10]]\nB =\n[[-3, 6, -1, -5],\n [-5, 0, 6, -2],\n [7, 2, 10, 5],\n [0, -3, 7, -10],\n [-10, 7, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -2, 6, -7, 10],\n [9, -1, 1, -6, -8],\n [-1, -5, 0, 0, -10],\n [9, -7, -10, 2, 6],\n [-9, 2, -10, -7, 8]]\nB =\n[[5, 3, -6, -3],\n [-1, -3, -5, 1],\n [0, 2, -2, -5],\n [9, 1, -3, 2],\n [7, -8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, 8, 1, 0, -3],\n [8, 3, -8, -5, -3, -7],\n [1, 9, -6, 0, 8, 1],\n [0, 2, 1, 4, 5, -3],\n [3, 2, 10, 4, -5, 10],\n [6, -3, -8, -8, -5, 8]]\nB =\n[[7, -2, -2, -5, -2, 10],\n [1, 5, -8, 2, -6, 6],\n [6, -4, -3, 9, -9, -10],\n [3, -9, 6, -7, 6, 5],\n [4, -7, 6, 3, -8, -3],\n [7, -2, 8, -7, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1987", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 3, -10, -1, -8, -6],\n [-1, -10, 8, 6, 3, -3],\n [10, 5, -5, 1, -9, -1],\n [0, -10, -9, 4, 8, -2]]\nB =\n[[5, -9, -8, 5],\n [-1, 2, 1, 10],\n [-10, 0, -10, -10],\n [1, -8, 10, -6],\n [-10, -10, -10, -7],\n [-1, -4, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "835", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 9, 0, 0, 5],\n [-1, 4, -10, -1, -2],\n [-4, 9, -7, -1, -7],\n [10, 0, 9, -5, 8],\n [8, -4, 5, -4, 7]]\nB =\n[[-6, 1, 8, 4, 4],\n [-8, -9, 8, -3, 10],\n [2, 4, 1, -10, -2],\n [1, 4, 1, -10, -2],\n [8, -4, -6, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -10, 2, -4],\n [-8, -8, -8, -5],\n [-3, -7, -3, 9],\n [10, -9, -6, -4]]\nB =\n[[5, 6, 10, -3],\n [9, 4, -1, -2],\n [2, 5, 5, -2],\n [-8, -2, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-634", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 5, 0, -4],\n [0, 0, -7, 4],\n [4, 9, 8, 6],\n [-6, -7, 5, 4],\n [-5, -1, -4, -10],\n [-10, -6, -3, -2]]\nB =\n[[-6, 6, -6, -1],\n [0, -9, -10, 0],\n [5, 1, 6, -8],\n [-8, -2, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -8, 0, 4, 4],\n [-9, 0, -2, 5, 2],\n [0, 7, -10, -9, 7],\n [0, 9, -7, 7, 4]]\nB =\n[[-6, 7, -4, -8, -2, 9],\n [-2, 3, 7, 8, 1, 1],\n [0, -3, 5, -4, 0, -10],\n [-8, -8, 9, 7, 1, 0],\n [-1, 8, -1, 4, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 1, 7, -8],\n [2, 8, -10, 1],\n [5, -8, -10, 9],\n [0, -3, -5, -8]]\nB =\n[[4, -5, 4, 3, 5],\n [6, -1, -3, -10, -1],\n [9, -10, 0, 6, -3],\n [-4, -7, 8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 10, 10, 10, 0, -8],\n [8, -10, 7, -8, -6, 9],\n [7, 3, 5, -6, 1, 2],\n [6, 6, 10, 8, 0, 4]]\nB =\n[[-6, -6, 1, 4],\n [2, -9, -10, -8],\n [-5, 10, 1, -5],\n [-1, -7, -3, 9],\n [9, -8, -7, -5],\n [10, -5, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1104", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-1, -7, -5, 10],\n [-8, 6, 3, -10],\n [-8, -8, 5, 2],\n [7, -2, 2, -5],\n [2, -9, 10, 3],\n [7, -10, -9, 0]]\nB =\n[[6, 4, 9, -1, 0],\n [8, -9, 7, -4, 0],\n [0, -9, -9, 0, -9],\n [9, 2, 0, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -8, -1, 1],\n [-10, -9, 10, 0],\n [-10, -10, 8, 9],\n [5, -9, -9, -7]]\nB =\n[[2, -8, 2, -1, 0],\n [-10, 6, -7, -3, 6],\n [-9, -1, 7, -1, 10],\n [-5, 7, -1, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "474", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[10, 4, 0, -7, 0],\n [10, -9, 9, -1, 2],\n [2, -4, 10, 9, -4],\n [-5, -3, 8, 6, -4],\n [-6, -10, -2, -1, -6],\n [-1, -9, -5, -3, -10]]\nB =\n[[4, 9, -6, -5],\n [0, -6, -4, 9],\n [-9, 8, -8, 5],\n [9, 3, -7, 6],\n [-3, -1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -9, 0],\n [2, 2, 7, 2],\n [4, 9, 3, 5],\n [0, -10, 10, -6]]\nB =\n[[-3, 10, -10, 7, 1],\n [3, 7, -6, -9, -1],\n [5, 5, -7, 2, -7],\n [7, 4, -8, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, 3, -10, 7],\n [-7, 0, -6, -2, 7],\n [-2, 3, -10, 10, 2],\n [1, 10, 5, -1, -7]]\nB =\n[[9, -4, -10, -10],\n [8, 6, -4, -9],\n [7, -9, 7, 5],\n [-2, -8, 5, 6],\n [-9, 5, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -6, -4, 6, 10],\n [9, -5, 7, -8, -5],\n [8, -9, -3, 2, -9],\n [2, -8, 1, -1, 0],\n [0, 2, -4, -5, 4]]\nB =\n[[-4, 2, 4, -7, 7],\n [-10, -9, -1, 0, 5],\n [8, -6, 8, -10, -7],\n [2, -10, 6, -10, -7],\n [4, -10, 4, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1645", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -2, -9, 10],\n [6, 10, -8, -8],\n [2, -3, 1, 7],\n [7, 8, 4, -7],\n [-2, 7, -1, 3],\n [9, 1, 2, -2]]\nB =\n[[-5, 3, -10, 5, 4],\n [-9, 6, 1, -1, 6],\n [-10, 3, -9, -6, 2],\n [-2, 4, 7, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, 4, -4, 1],\n [-10, 7, -8, 1, 9],\n [2, -4, -1, 7, 0],\n [-6, 10, -2, -9, -1]]\nB =\n[[-6, -1, 9, -10, 8, 3],\n [9, 8, 6, -1, 5, 7],\n [0, 8, -5, -1, 3, -4],\n [2, -6, -4, 3, -5, 1],\n [10, -10, 8, 10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -6, -8, -3],\n [-8, -4, 1, 1],\n [-1, -5, 7, 10],\n [-8, 3, 8, 3]]\nB =\n[[-3, -2, 1, -5, 3, -6],\n [-5, 8, 8, -5, 8, -2],\n [7, 2, -4, 5, 0, 10],\n [-2, -4, 7, -10, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, 7, -2, -10, -4, 2],\n [9, 2, -7, -8, -10, -6],\n [-6, 8, 7, 6, -8, -10],\n [-6, 3, -8, 8, 3, 0]]\nB =\n[[10, 9, 4, -9],\n [-4, -10, -10, -1],\n [5, 1, -2, -4],\n [3, 8, 3, -7],\n [9, 8, -1, 1],\n [-1, -2, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -5, -10, -6],\n [10, -3, 6, 2],\n [-2, -6, -3, -4],\n [-5, 4, 2, 5],\n [10, 5, -2, -10],\n [-4, -1, -10, 8]]\nB =\n[[3, -9, 8, 1, 4],\n [0, 4, -5, -6, -7],\n [3, 3, 0, 7, 8],\n [3, -3, 10, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, 8, 1],\n [8, -2, -3, -9],\n [1, -2, 7, 6],\n [7, 7, -1, 8],\n [-4, 7, -4, -3],\n [-2, -6, -3, 9]]\nB =\n[[7, -2, 7, -3],\n [-7, 3, -2, 4],\n [-7, 0, 9, -2],\n [-3, 1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 8, -1, -7, -1, -6],\n [-7, 3, 1, -4, 0, -1],\n [4, -5, 5, -9, 8, 6],\n [-9, -10, -10, 10, -6, -1]]\nB =\n[[3, -9, -6, 2],\n [-7, 5, -10, 10],\n [9, -5, -10, -10],\n [5, 1, 6, 2],\n [6, -2, -4, -10],\n [0, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 9, 5, -10],\n [-2, -1, -10, -6],\n [8, 6, -8, -6],\n [6, 4, -4, 2]]\nB =\n[[-2, 9, 5, 8, -5],\n [-7, 8, -7, -1, 1],\n [9, -7, -4, 8, 4],\n [-10, 3, 9, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, 9, -1, -4, -3],\n [2, -3, -2, -7, -9, 6],\n [3, 1, -7, 9, 7, -1],\n [7, -2, -10, -7, 9, -1],\n [-2, 8, 1, 9, 5, -1]]\nB =\n[[1, 8, -2, 9],\n [-4, -7, 3, -5],\n [6, 4, -9, -1],\n [-3, 0, -1, -8],\n [-8, -8, 6, 8],\n [-6, 6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -6, -7, -2, 9, 9],\n [3, -1, -8, 2, 2, -4],\n [9, -6, -9, -10, 0, 9],\n [-1, -10, 7, 9, -4, 5],\n [-3, 3, 4, 8, 0, 8]]\nB =\n[[-8, 1, 10, 1],\n [7, 10, -1, -1],\n [0, 1, -5, 4],\n [8, 4, 0, 4],\n [3, 10, -6, 2],\n [8, 7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, 9, -2, 1, -10],\n [-1, -2, 5, -7, 0, 4],\n [4, 1, -8, -8, -8, 8],\n [7, -6, 0, -1, 5, -1]]\nB =\n[[10, -7, 3, -7],\n [-9, 5, -8, -8],\n [3, -6, -9, 5],\n [-4, -1, 8, -7],\n [2, -2, -5, 0],\n [-6, 1, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-5, 0, 5, 2, 5, -10],\n [6, 7, -1, 9, -3, 9],\n [0, -8, 5, -10, -7, 2],\n [-1, 5, -7, -10, -3, -7]]\nB =\n[[9, -10, 1, 6],\n [1, -4, 5, 1],\n [2, 8, 7, -7],\n [7, -9, 6, 5],\n [-6, 10, 9, -9],\n [0, -7, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-3, 8, -8, -7],\n [2, -1, 3, -1],\n [7, 6, 9, -6],\n [-4, -2, -7, 8],\n [-6, 7, -3, -10]]\nB =\n[[-8, -4, -2, -9],\n [3, -1, 4, -2],\n [10, -5, 2, 5],\n [2, 7, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 5, 2, -6, -10, 4],\n [4, 8, 7, 5, -6, -4],\n [-3, -7, 5, 8, 4, -9],\n [-3, 2, -6, -1, 8, -5],\n [6, 1, 4, 3, 5, 7],\n [5, -8, 4, 6, 3, 8]]\nB =\n[[-2, 7, -10, 0, -6, 3],\n [1, -4, -4, -2, 8, -10],\n [-3, -1, 0, -8, -4, 6],\n [10, 3, -8, 0, 0, 4],\n [-2, -9, 2, -3, 3, 2],\n [-4, 2, -9, 4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2191", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -3, -8, 10, 9],\n [5, 6, -4, -10, 2],\n [0, -8, 4, 1, -10],\n [4, 3, -7, -3, -7],\n [-9, 8, -7, 1, 4],\n [5, 7, 1, -4, 2]]\nB =\n[[7, 6, -7, 3, 10],\n [10, -2, -1, 2, 0],\n [10, 4, 6, 4, 3],\n [-10, 9, -4, 0, 9],\n [-1, -3, -9, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-565", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 1, 6, 9, 2, 2],\n [10, 8, 8, -5, 2, -5],\n [9, 3, 2, -6, 5, -7],\n [-4, 10, 6, 6, 6, 9],\n [6, -2, -3, 5, 3, -3],\n [6, 7, 10, 5, -8, 4]]\nB =\n[[-9, -9, -1, 3],\n [4, 1, -4, 8],\n [-2, -6, 6, -9],\n [-3, 7, -7, -4],\n [7, 9, -4, 3],\n [-8, 6, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-552", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 10, 3, 6],\n [10, -3, -9, 9],\n [-7, 9, -7, 5],\n [-1, 9, -7, 7],\n [-8, 3, 4, 9]]\nB =\n[[-8, 0, 4, 3, 1],\n [10, 4, -4, -4, 0],\n [-5, 2, 4, 3, -9],\n [8, 9, -10, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[4, -6, 9, 2],\n [-3, 1, -10, -9],\n [-7, 10, -4, -4],\n [-3, 0, 4, -8],\n [-3, 10, 3, 7],\n [10, 6, 7, -4]]\nB =\n[[1, -7, -2, -7, 7, -1],\n [-10, -6, -10, -6, -10, -4],\n [6, 9, -9, 8, -1, -10],\n [6, 4, -4, -2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 1, -6, 1, 7],\n [-10, -1, 2, -6, 8],\n [5, 0, 1, 4, 2],\n [-6, -2, 9, 6, 6],\n [9, 4, 9, 4, 9],\n [-6, 2, 7, -1, 2]]\nB =\n[[-10, 1, 5, 9, -8],\n [-5, 3, -5, 1, 6],\n [-7, 6, -10, 2, 5],\n [5, -4, 0, 2, -9],\n [-4, -8, -5, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, 4, 6],\n [5, 6, 2, 7],\n [-3, 8, -7, 6],\n [-1, 10, -5, 0]]\nB =\n[[8, -9, 0, 8, -4, 7],\n [-3, 6, 9, -4, 2, 8],\n [-7, 0, -6, 6, -4, -9],\n [2, -2, -3, -5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, -8, -6, 8],\n [3, -2, -7, -10, 6],\n [6, 2, -7, -5, -6],\n [-4, -3, 3, -7, -4],\n [10, -8, -4, 3, 7]]\nB =\n[[6, 10, 3, 4],\n [10, -6, -5, 8],\n [-6, 4, 0, -8],\n [-9, -7, -8, -4],\n [2, 10, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1268", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[7, 7, 4, -6],\n [4, -10, -4, 2],\n [6, -4, -3, -9],\n [-4, -4, 4, -7],\n [-3, 3, -8, -6]]\nB =\n[[10, 9, 8, 7, -9],\n [-6, -2, -5, 4, 10],\n [-1, 10, 3, 6, 7],\n [2, 10, -9, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, 3, -4, 1, 9],\n [-7, -5, 1, 7, -6, -4],\n [-9, -2, -10, -7, 3, -8],\n [-4, -2, 0, -6, -5, -6]]\nB =\n[[3, 6, -2, 3, -1, 6],\n [-10, 4, -5, 6, -4, 5],\n [5, 6, 2, 4, 3, 6],\n [4, 10, -2, 5, 0, -6],\n [-4, 0, 5, -9, 3, -8],\n [1, -4, -6, 10, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-529", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 7, 5, 1],\n [6, 4, -7, 1],\n [4, 10, -7, -6],\n [-5, 10, 8, -6]]\nB =\n[[3, -7, -9, 8, -4, 6],\n [-4, 3, -1, 5, 1, -8],\n [4, 7, 1, -6, -8, -9],\n [-7, -5, 4, -10, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -7, -8, 2, -5],\n [-2, -9, 6, -3, 9],\n [-7, 2, -6, -8, 10],\n [-6, 6, 4, 8, 2],\n [-7, 2, -10, 0, 1]]\nB =\n[[-2, -7, 3, -9, 7, 10],\n [10, -5, -5, -8, 10, 9],\n [-1, 10, 3, 8, -6, -1],\n [-2, 9, 5, 1, -1, 6],\n [9, -1, -2, -10, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, 10, 1, -3],\n [5, 10, -1, 4, -3],\n [-5, -6, -5, -8, -5],\n [-10, -4, 10, -4, 1],\n [6, 0, 10, 3, -7],\n [3, -1, -2, 7, 6]]\nB =\n[[10, 10, 8, 9],\n [-6, 10, -5, 8],\n [9, 3, -3, 6],\n [-7, -10, 3, 3],\n [1, -9, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-1, -6, 8, 1, 8],\n [3, -1, -7, -5, 2],\n [-5, -5, 1, -1, -7],\n [3, -6, -7, 2, 6],\n [10, -7, 9, 6, -6]]\nB =\n[[6, -4, 3, 7],\n [-5, -5, 10, -2],\n [4, -5, 1, 5],\n [8, -9, -1, -3],\n [1, 9, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 5, -10, 3],\n [-7, 1, -1, 2],\n [-8, 9, -3, -1],\n [3, -7, 1, -8],\n [1, 8, 3, 5]]\nB =\n[[-6, -8, 7, 10],\n [5, 0, 6, -7],\n [5, 9, -4, -5],\n [0, 9, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "946", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -10, 9, -5, -1, -5],\n [3, -2, -2, 1, -10, 4],\n [2, -8, 6, -1, 0, 3],\n [1, 6, -9, 5, -6, 7],\n [0, 5, -8, -7, -6, -10],\n [1, -6, 9, 10, 7, -9]]\nB =\n[[5, 8, -8, -9, 8, -9],\n [6, -10, -6, 0, -1, 3],\n [10, 7, -6, -5, -2, -5],\n [-10, -10, -10, 2, -2, 1],\n [-9, 3, 0, -10, 3, 2],\n [-5, -10, -2, 1, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, -7, -9, -6, 0],\n [4, -7, -3, 4, 2, 0],\n [10, 6, -7, -6, 6, 2],\n [3, -9, 2, 5, -10, 6]]\nB =\n[[4, 9, -2, -10, -3, -2],\n [-8, -6, -5, 0, 6, -2],\n [3, -7, 7, -3, -7, 8],\n [4, 4, -7, 4, -5, -8],\n [-10, 5, -1, -1, -5, 6],\n [-3, 2, 3, -2, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -4, 5, -5, 1],\n [5, 10, 10, 0, -3, 4],\n [-9, -7, -1, 0, -10, 8],\n [-1, -9, -3, 0, 2, 2],\n [6, -7, -3, 3, -1, -1],\n [-2, 3, 3, -3, 7, 6]]\nB =\n[[6, 2, -10, -5, 3, 4],\n [4, 4, 8, 10, -2, -10],\n [-8, -1, -10, 6, -1, -3],\n [-2, 10, 6, 10, -4, 4],\n [0, 10, -1, 9, -9, 8],\n [10, 6, -10, 6, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 7, -8, 3, -8],\n [-2, 6, 4, 4, 4],\n [3, 2, -9, 3, -1],\n [2, -9, 0, -2, -1],\n [2, -5, -7, -6, 6]]\nB =\n[[-5, -6, -9, 3, 5, 0],\n [0, 2, 1, 1, -3, -5],\n [1, 8, -2, 9, 6, 10],\n [8, 6, 9, 9, -9, 6],\n [10, -2, -9, 6, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1870", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[10, 9, 6, 4],\n [-7, -6, 4, 0],\n [10, 2, 4, -8],\n [6, 9, -3, -10]]\nB =\n[[0, -3, 10, -1, -1, -7],\n [0, -10, -10, -7, -4, 0],\n [1, 8, 9, -3, 3, 2],\n [-8, -8, -8, -6, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 8, -3, 7, 6, 8],\n [9, 9, 2, -3, -6, 4],\n [0, -5, 2, 5, -1, -1],\n [-7, 4, 9, 1, 4, -5]]\nB =\n[[1, -8, -6, 0, -10],\n [-4, -6, 9, -4, 10],\n [5, 6, 7, -5, -4],\n [1, -7, 4, -4, -3],\n [5, 10, 9, -4, -5],\n [7, -9, 9, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -6, -1, 5, -5, 7],\n [1, -3, -4, -1, 2, -10],\n [-2, 0, -7, 3, 4, 2],\n [9, 3, 9, 5, 3, -7],\n [0, 10, -9, -10, 1, 5]]\nB =\n[[-4, -3, -9, -7, 4, -5],\n [10, -1, -2, 8, 9, 2],\n [8, -4, 10, 6, 3, -2],\n [8, -7, -9, 2, 4, -3],\n [-6, -2, 0, 8, 7, -3],\n [2, 9, -6, 10, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 7, 6, -1, -9, -4],\n [-2, 7, 7, 10, 5, -9],\n [-9, -4, -8, -9, -3, -2],\n [-9, -10, -5, -9, -2, 4],\n [5, 6, -3, 2, -10, 10],\n [9, -7, -7, -4, -3, -5]]\nB =\n[[5, -3, -6, -9],\n [-10, 2, 10, -2],\n [-7, 2, -3, -8],\n [9, -6, 1, 0],\n [9, 0, 1, -9],\n [-5, 1, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 3, 7, -7, 9],\n [8, -10, -10, -10, -6],\n [-1, 1, 3, -8, 0],\n [-5, -1, 1, -5, 1],\n [-1, -8, -1, 10, -8],\n [2, 3, -7, 5, -6]]\nB =\n[[4, -1, 5, -5, 2],\n [-1, -1, -6, -9, -5],\n [5, 5, -3, -10, 10],\n [2, 9, 7, 2, -3],\n [4, -3, -9, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2179", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -1, 3, 7],\n [5, 7, 5, -8],\n [-1, -3, 5, -6],\n [-4, -1, 0, 2],\n [-7, -8, -6, 1],\n [-9, 8, 6, -10]]\nB =\n[[2, 7, -5, 5],\n [8, -9, 8, -8],\n [-8, 9, -7, -10],\n [-3, 5, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, 5, 8],\n [-6, -8, -9, 5],\n [-8, 10, -4, 3],\n [-3, -5, -10, 5]]\nB =\n[[1, -6, -3, 1, -6, -3],\n [9, 5, -2, 5, -3, 10],\n [7, 7, 8, -4, -6, 9],\n [4, 3, -2, -10, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-699", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[3, -7, 8, 6, -7, 5],\n [-8, 4, 2, -5, -8, -1],\n [-8, 4, -4, -10, -4, 2],\n [2, 8, -2, 0, 1, -6],\n [-10, 6, 8, 5, 4, -7],\n [-7, -7, -10, 8, -8, -3]]\nB =\n[[9, 7, -4, -9],\n [1, -1, 2, 9],\n [-4, 2, -8, -2],\n [-2, 7, 9, 5],\n [9, -1, 3, -1],\n [-2, -6, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -4, 8, 6],\n [10, 4, 9, 7],\n [-6, -7, -6, -6],\n [2, 0, 7, -3],\n [-1, -4, -2, -4],\n [8, 4, -6, -5]]\nB =\n[[6, 9, -7, -9, -6],\n [2, 10, -8, 3, -6],\n [1, -3, -2, -9, -9],\n [-3, -5, -7, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-326", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 9, 8, 8],\n [3, -3, -9, -3],\n [-8, 10, 4, 5],\n [1, 2, -1, -3],\n [6, -2, -9, 9],\n [-4, -9, 5, -1]]\nB =\n[[-6, -2, 10, 4, -10, -2],\n [-7, 10, -6, 1, 7, 7],\n [7, -2, 10, 4, 9, 1],\n [-2, -3, 3, 1, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2061", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, 5, -1, 8, 9],\n [5, 7, 6, -9, -10, -8],\n [-2, -5, 3, -3, -9, -10],\n [-10, -6, -1, -6, 5, 5],\n [0, -2, 9, 6, 3, -9]]\nB =\n[[5, -10, 3, 0, -6, -7],\n [6, -6, 7, -10, -1, -9],\n [-2, -9, -5, 6, -8, -3],\n [-1, -7, 7, 7, 3, 8],\n [6, -2, -7, -2, -6, 4],\n [7, -9, 8, -6, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-467", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -1, 3, -1],\n [3, 9, 8, 5],\n [-10, 8, -3, -3],\n [-1, 9, 4, 2],\n [1, -10, -10, -6]]\nB =\n[[-2, -10, 7, -10],\n [-4, -9, 7, 8],\n [-5, 4, 6, 10],\n [-1, -1, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[2, 3, -7, -9],\n [6, -7, 0, -10],\n [-10, -7, 8, -4],\n [-5, -9, -10, 8]]\nB =\n[[6, -9, 4, 7],\n [-2, -10, 7, -6],\n [9, 4, -7, 4],\n [9, -4, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 5, -8, 7, 6],\n [-5, -7, -2, -2, 0],\n [-5, -2, 5, 6, -2],\n [-9, -8, 9, -4, -8],\n [-9, 8, 3, 9, -9],\n [-2, 6, 1, 2, 0]]\nB =\n[[8, -6, -6, 6, 10],\n [-6, 7, 9, 0, 5],\n [6, -7, 4, 7, -6],\n [-4, 10, -2, 8, 2],\n [8, -1, 4, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -6, 9, -2],\n [-10, -2, -3, 10],\n [10, 9, 6, 4],\n [-2, 4, 8, -3],\n [-3, -7, -1, -8]]\nB =\n[[8, -5, 2, -9],\n [5, 2, -8, -9],\n [-5, -9, 8, -3],\n [-10, 6, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, -5, 4, -10, 6, 4],\n [-1, -9, 5, -6, -5, 0],\n [5, 5, -6, -5, -1, -4],\n [6, -4, -5, -9, 10, 8],\n [4, 6, 1, -7, -9, 0]]\nB =\n[[-1, -10, -5, 5, -5],\n [1, 5, -3, 8, 9],\n [-7, 6, 9, 3, -5],\n [10, 9, 5, 4, 0],\n [-8, -1, 1, 10, 7],\n [4, 3, 1, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-373", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -9, -10, -3, -5, 1],\n [2, 7, 9, -3, -3, 2],\n [-8, -9, 4, -9, -1, 9],\n [3, -1, 0, -1, -8, 0],\n [4, 4, 7, -9, -1, -2]]\nB =\n[[-1, -7, -8, 1, 7, -8],\n [1, -7, 4, -6, -8, 6],\n [-6, -4, 5, -5, 0, 4],\n [-1, -4, 9, 6, 7, 9],\n [-3, -6, -4, 9, -7, 4],\n [10, 5, 4, 0, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1942", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 10, 1],\n [-2, 0, -9, -8],\n [6, 1, -9, 7],\n [2, -9, 9, 10],\n [0, 10, -8, -8],\n [-5, -6, -2, -9]]\nB =\n[[-7, -1, 7, 7],\n [0, 5, 5, -10],\n [-3, -7, 9, -6],\n [-7, -8, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -7, 2, -6, 10, 8],\n [6, -9, 0, 6, 2, 1],\n [6, -5, -7, 2, -10, 0],\n [-6, 7, -10, -9, -4, 3],\n [4, 0, 0, 4, 1, -5],\n [2, 2, 9, 4, -9, 4]]\nB =\n[[-2, -5, -4, -2, 8, -8],\n [0, -4, 4, -6, -8, -9],\n [-6, 4, 5, -5, -7, -3],\n [9, -2, -1, -9, -9, -4],\n [-7, 0, 6, -9, 4, -7],\n [9, 3, 1, 8, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2094", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, -4, 2, 5],\n [-4, -4, -1, -10, 1],\n [-6, 4, 5, 2, -1],\n [2, 1, 7, 6, 1],\n [-5, -2, -2, 10, 6],\n [-5, 2, 10, -9, -5]]\nB =\n[[-10, -9, 3, 1, 5, -10],\n [-10, -7, 0, -2, -8, 8],\n [-10, -8, -8, -7, -3, 3],\n [-10, -1, -6, -4, 3, 6],\n [-3, -2, 0, 5, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 9, 8, 0, -6],\n [-6, 2, 6, 5, 7],\n [3, 5, -8, 10, 0],\n [9, -9, 0, -10, 3]]\nB =\n[[9, -7, -3, -3, 6],\n [-8, -10, 6, -5, -8],\n [-4, 5, -8, 4, 4],\n [-10, -1, -5, -3, 8],\n [-7, 4, -6, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 10, 6, 10, -7],\n [-8, 4, 6, 8, -8],\n [5, -7, -7, 7, -10],\n [9, -1, -9, -9, -5]]\nB =\n[[-3, 10, 9, 1],\n [-10, -5, 4, -6],\n [-4, -1, 9, -4],\n [-10, -7, -1, -3],\n [2, -8, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -1, 4, -1, 0, -4],\n [-1, -5, -4, 1, -1, -1],\n [10, 10, 10, 4, 4, -1],\n [4, 1, 0, 3, 9, 9]]\nB =\n[[2, -1, -10, 6, -2],\n [-9, 0, 6, -3, -10],\n [0, -6, 7, 4, 4],\n [4, -2, 1, -3, 7],\n [10, 10, 7, -2, -9],\n [2, 1, 4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[10, 10, 10, -3, 8, -8],\n [-1, 8, -3, -2, -1, 2],\n [2, -9, 7, 9, -3, 5],\n [-3, 5, 6, 7, -6, 3],\n [4, 2, 1, -7, 4, -2],\n [3, -10, 3, -1, -9, 6]]\nB =\n[[1, 8, -10, 8],\n [1, -9, 3, -10],\n [-7, 7, 8, -1],\n [-10, 1, -4, -7],\n [2, -2, 1, -4],\n [6, 3, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[3, 5, 9, -5, -9, -7],\n [8, 10, -4, -10, -8, 5],\n [7, 1, 9, -2, 8, 0],\n [-7, 1, -6, 8, -5, -6]]\nB =\n[[7, 9, -2, 7],\n [2, -2, 6, 4],\n [4, -4, -7, 2],\n [-6, -1, -3, -8],\n [-5, 4, -10, -5],\n [9, -5, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 3, 0, 5],\n [-10, 6, -1, 7],\n [0, 7, -8, 3],\n [-6, 3, 4, 7],\n [6, 0, -3, -7],\n [-6, 3, 3, -5]]\nB =\n[[-7, 4, -10, -3, -4, -2],\n [1, 4, -2, 2, 2, 10],\n [-7, -5, -3, 0, 6, -8],\n [1, -10, -1, -8, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[10, -1, 1, 6, 6, 9],\n [5, 5, -9, 9, -10, 10],\n [3, 0, 7, 10, 9, 9],\n [-7, -7, 3, -4, -7, 0]]\nB =\n[[-3, 6, 8, 5],\n [7, 9, -8, 10],\n [10, -1, 6, -7],\n [9, -1, 7, -4],\n [-3, -4, -5, -10],\n [8, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -3, -6, -3, -3],\n [1, -6, 0, 9, 6],\n [-4, 2, 10, 8, -3],\n [-4, 8, -8, 7, 4],\n [7, -8, 2, 7, -6],\n [2, 4, 0, 8, 7]]\nB =\n[[7, -2, 5, -5, 10, 6],\n [-8, -9, -9, -3, 1, -3],\n [2, -5, -8, 10, -6, -6],\n [0, -7, 0, 8, 1, -1],\n [1, 0, 5, -6, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -10, -5],\n [-4, -9, -8, -6],\n [0, 6, -8, -3],\n [-7, -2, -7, -10]]\nB =\n[[0, -1, 7, 8, -5, 9],\n [-6, 7, -3, -3, 3, 6],\n [8, -4, 4, -8, -2, 2],\n [-10, 0, -3, 9, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 5, 8, 0, -10, -10],\n [10, 5, -5, 9, -2, 3],\n [-6, 6, -2, -3, 6, -8],\n [-4, -2, 10, -4, -10, 6],\n [0, -1, 8, 1, -2, -1],\n [2, -3, -2, 7, -7, -5]]\nB =\n[[-6, -5, -1, -4, -2, -4],\n [-2, -3, 4, -8, 1, 9],\n [10, -6, 4, 8, 1, 7],\n [-6, -8, -5, -1, 3, -9],\n [10, -1, -3, -3, 2, -1],\n [10, -8, 9, -7, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2745", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -10, 10, -6, -1, 5],\n [8, 0, 8, -2, -8, 6],\n [-6, 0, -6, 0, -2, 6],\n [-7, -5, 5, -4, 4, -6]]\nB =\n[[9, 1, -1, 5, -8, -6],\n [4, 9, 3, 4, 9, 7],\n [-4, 3, 7, 3, -9, -3],\n [8, -10, -9, -9, -10, 2],\n [6, 4, -5, -1, -1, -1],\n [9, -2, -4, -8, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 10, -5, -4],\n [1, 1, 7, -10],\n [3, 2, -1, 9],\n [6, -2, -9, 0],\n [-2, 1, -8, 0]]\nB =\n[[-3, 3, -3, -3, -5, 3],\n [-8, 5, 3, 0, -5, -5],\n [0, 5, -9, 8, 7, -1],\n [-7, -8, -6, 9, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-385", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, 0, 2, 0],\n [0, 4, -3, 8, 10],\n [5, 2, -1, 9, -3],\n [-4, 8, 8, -7, -4]]\nB =\n[[-10, -8, 7, -1],\n [-5, -4, 7, 7],\n [7, -5, 7, -7],\n [7, 6, 5, 1],\n [-3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, 0, -4, -8, 5],\n [5, 3, -8, -10, 3, -7],\n [-2, 10, -4, 0, -6, 2],\n [-5, -1, -4, -4, -6, -1],\n [-4, -4, 1, 7, 1, -1],\n [8, 9, 0, 0, -10, 3]]\nB =\n[[-1, -5, 9, -1],\n [8, -7, -6, -9],\n [7, -1, -2, 4],\n [-4, 9, 5, -10],\n [-10, -5, -2, 3],\n [0, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -2, -3, 2, 0],\n [-3, -6, 6, 4, -5],\n [3, 1, -10, 8, 8],\n [4, -7, 4, 1, 1]]\nB =\n[[-5, -2, -8, -9, 6],\n [-3, 2, 4, -9, 1],\n [-3, -1, -1, -4, -4],\n [-10, -9, -7, -8, -8],\n [-9, 6, -8, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-779", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -6, 8],\n [3, 5, -9, 0],\n [-4, 2, -3, 0],\n [7, 5, -9, -10],\n [-4, -4, 7, -1],\n [6, 8, 1, -8]]\nB =\n[[-3, 10, 9, -1, -4, -1],\n [0, 1, 4, 4, 5, -3],\n [-1, 8, -3, 1, 0, -5],\n [-8, -7, 2, 10, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -7, 7, 6],\n [-3, 0, 3, -7],\n [2, 0, 5, -8],\n [2, -9, -4, -10],\n [3, -3, 4, 0]]\nB =\n[[-8, 2, 9, 8, -1, 8],\n [-4, 9, 8, -10, -6, -1],\n [-3, -1, -10, -9, -6, 1],\n [-8, 7, 0, 10, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 10, -10, -7, 4, 3],\n [-10, 2, 7, -6, -5, 0],\n [5, -7, 0, 5, 4, -3],\n [0, 1, -3, 6, -9, -1]]\nB =\n[[0, 8, -1, -4, 0, 0],\n [8, -5, -3, 10, 1, -8],\n [7, 10, 1, -7, 6, -9],\n [3, -8, -5, 3, 6, 7],\n [3, -10, 3, -4, -5, -7],\n [-7, -6, -5, -8, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 2, 0, -3],\n [-8, -6, 7, 7],\n [-5, 1, 3, 0],\n [4, 5, 9, -6],\n [-2, 2, 8, -9],\n [-1, 2, -9, 9]]\nB =\n[[-5, -8, 9, -8, 2],\n [-3, 9, 9, 9, 3],\n [0, -7, 8, -7, 5],\n [1, -9, 2, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 7, -3, 5, 7],\n [-7, 6, -3, -9, 3],\n [-4, 8, -8, -2, -6],\n [-2, -5, 0, 8, -10]]\nB =\n[[-5, -9, -10, 0, -7, -4],\n [10, 8, 10, 3, -3, -3],\n [-10, -8, 0, 1, -3, 4],\n [-7, 6, -3, 0, 1, 7],\n [-5, 0, -4, -5, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1838", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -7, 9, -6],\n [-3, -9, -1, 2],\n [-6, -2, -4, -4],\n [-2, -6, 0, -5],\n [10, -5, 8, -9],\n [-4, -9, 5, 7]]\nB =\n[[6, -7, 0, 6],\n [1, -5, 6, -7],\n [-9, 6, 4, 4],\n [2, -10, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 3, 2, 1, 5],\n [4, -7, 5, 10, 4],\n [1, -9, 10, -8, 3],\n [0, 6, -1, -5, 9],\n [-2, -3, -1, 6, 2]]\nB =\n[[-10, -4, -9, 8, -1],\n [-6, -10, 10, 6, 8],\n [-6, 3, 9, -10, -1],\n [-4, 3, 8, 7, -10],\n [-6, -10, 10, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 8, -4, 3, 4],\n [10, 6, 1, 4, 9],\n [8, 6, 1, 9, 10],\n [-6, -8, -2, 3, 5],\n [-7, 4, 5, -6, -5],\n [6, -4, 1, 0, 8]]\nB =\n[[-8, 3, 1, -7, -6],\n [2, 9, 0, 3, 2],\n [9, 0, -10, -1, 3],\n [-5, -1, -7, 4, 7],\n [3, -2, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-2, 6, -3, 4, 4, 2],\n [9, -10, -3, 5, 5, -3],\n [6, 4, -10, -3, -2, -9],\n [6, -6, 3, 1, 5, 8],\n [-8, 2, 7, -4, 7, -7]]\nB =\n[[-6, -5, 0, -8, -6],\n [0, -9, 4, -9, -8],\n [-5, 0, -1, -5, 2],\n [-3, -5, -2, 9, -6],\n [-8, 6, -9, -9, -3],\n [7, 10, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -1, -8, 8, 9],\n [7, 8, 6, -3, -1],\n [8, 2, -3, -8, -8],\n [-10, -4, 8, -6, 7],\n [-4, -8, 0, -7, 8],\n [3, -6, 1, -6, 2]]\nB =\n[[4, -1, -9, -8, 7],\n [-8, -1, 5, 7, 6],\n [-5, 10, -4, -3, -5],\n [-2, -2, -1, 4, -5],\n [-3, -6, -3, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1805", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -8, 8, 8, -10, -10],\n [-10, 5, 5, -6, -5, 2],\n [6, -3, -9, -3, 2, 5],\n [7, 7, -8, -1, -10, 8]]\nB =\n[[10, -2, 2, 3],\n [8, -10, -10, 1],\n [8, 7, 4, -1],\n [4, 3, -2, 1],\n [3, -1, 6, -3],\n [6, -9, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, 9, 8, 1, -6],\n [6, 4, 5, 4, -2, -10],\n [-10, 2, -7, -6, -2, 1],\n [0, -9, 3, -2, -4, 3],\n [-9, 10, 2, 2, 5, -3],\n [-5, -5, 5, -2, 10, -5]]\nB =\n[[-1, 1, 9, 9],\n [1, -3, -3, -1],\n [-5, -2, -9, -7],\n [7, -1, 0, 5],\n [-8, -10, -3, -3],\n [2, -10, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-513", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, -3, -7, 9],\n [1, -9, -9, 10, -3],\n [-8, -3, -9, 5, -1],\n [9, 10, -6, 2, 5]]\nB =\n[[-7, -9, 4, 3, -6],\n [4, -6, -10, 4, -10],\n [-6, 4, 2, 5, -8],\n [-9, -8, -1, 7, 10],\n [6, -6, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 1, 7, 6, -9, -4],\n [4, 2, 4, -1, -9, 9],\n [4, 5, 2, -6, -3, 9],\n [3, -4, -2, -10, -2, -2]]\nB =\n[[5, 7, 0, -2, 8],\n [-2, -1, -10, 5, 5],\n [4, 2, 1, 0, 9],\n [-10, -1, 1, -8, -4],\n [-10, -3, 9, -8, 1],\n [-9, -2, 1, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1097", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 4, -10, 6],\n [4, 6, -1, 2],\n [-5, 7, 0, 8],\n [3, 7, -4, 3],\n [4, 9, 6, -1],\n [4, 2, -8, 5]]\nB =\n[[5, 4, 10, 10],\n [8, 10, 5, -5],\n [7, 6, 6, 1],\n [-5, -10, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1421", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 1, -5, 7, -2, 0],\n [5, 7, 3, -5, 6, 5],\n [-5, -9, -4, -1, -5, -5],\n [9, -1, -10, -1, -6, -8],\n [4, 9, 9, 7, 5, -1],\n [10, -10, 5, 0, 6, -6]]\nB =\n[[7, -8, 6, -6, 0, -8],\n [-10, 9, 10, 6, -4, -8],\n [-10, 8, 0, -8, 7, 7],\n [9, -7, -2, -2, -3, 6],\n [10, 7, 3, -2, -10, -10],\n [10, 2, 7, -3, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-528", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, -4, -8],\n [-6, -5, 9, 4],\n [-3, 7, 0, -7],\n [1, 8, -4, 3],\n [2, -5, 9, 4],\n [-9, 1, -2, 3]]\nB =\n[[-9, -3, 1, 3, -8, -8],\n [-10, 6, -5, 3, 3, -2],\n [-10, -8, -6, -4, -1, 0],\n [9, -6, 9, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-3, 2, 2, -9, -2, -5],\n [5, -3, -9, 10, -10, -1],\n [-9, -5, 2, 3, -1, -5],\n [-5, 8, 3, -9, -8, 0],\n [9, 5, 6, -8, 9, -3]]\nB =\n[[8, -3, -8, -7],\n [-5, -1, 5, 5],\n [-10, 9, 6, 8],\n [5, 4, -3, -8],\n [-8, 2, 9, 10],\n [10, -5, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -10, -1, -2, 5],\n [-2, 6, 8, 0, -7],\n [5, 2, -1, 10, 5],\n [-7, 10, -6, -10, 2],\n [-6, -1, 4, 8, 6]]\nB =\n[[10, -4, 1, -2],\n [0, 10, -2, 2],\n [7, 10, 7, -2],\n [-3, 1, -4, -2],\n [-8, 0, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1216", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -1, -4, -7, -3, -4],\n [1, 1, -6, 1, 0, 7],\n [10, -6, 1, -9, -2, -1],\n [4, -3, -5, 0, 9, 2]]\nB =\n[[-6, -6, -5, 4, 9],\n [-4, -8, -7, 4, 1],\n [-1, -5, 7, 0, 3],\n [9, 7, 7, 3, -8],\n [9, 4, 0, -10, -9],\n [-3, -2, 4, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, 0, -1, -9, 4, 4],\n [-9, 8, 2, 6, -6, 8],\n [-10, 5, -5, -4, -3, -6],\n [0, -10, 2, 3, -6, 10],\n [5, -2, 5, -4, -5, -2],\n [-6, 0, -10, 6, -2, -5]]\nB =\n[[-1, 6, -6, 6, 3, -4],\n [-10, -1, -3, 6, -3, 7],\n [0, 10, 0, -2, -8, 3],\n [-1, 5, 1, -7, 3, 2],\n [-5, -8, 3, -8, -9, 0],\n [10, 1, -8, -5, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -10, -2, -8, -4, -3],\n [4, 2, 8, -9, -8, 1],\n [-7, -5, 9, -5, -8, 1],\n [-1, 3, 6, -8, 3, 10],\n [0, -10, -7, -3, 9, 4],\n [-10, -9, 1, 0, 3, -1]]\nB =\n[[-3, -5, 0, 10],\n [2, 2, -5, -3],\n [2, -4, 0, -7],\n [0, -3, 10, -10],\n [1, 9, -7, 3],\n [-7, -2, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, -3, -2, 0],\n [10, 3, -9, 1],\n [8, 0, -10, 2],\n [6, 6, -6, 3]]\nB =\n[[10, -9, 7, -8],\n [8, -2, 5, -9],\n [-4, -8, 2, -3],\n [9, 8, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, -7, 3],\n [0, 4, 1, -3],\n [1, 2, 1, 0],\n [7, -9, 2, 10],\n [2, -4, -3, -6]]\nB =\n[[4, -4, 5, 3, 6, -9],\n [-8, 7, 10, 5, -3, 7],\n [-5, 8, 6, 2, 3, -5],\n [-3, 1, 6, 1, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -9, -1, -8, 7, 7],\n [-3, -3, -6, -4, 1, -4],\n [10, 6, 0, -5, 4, -7],\n [-3, -3, -9, 1, 3, 9],\n [-9, 2, 2, -2, -9, -10]]\nB =\n[[8, 9, -5, 4, -8, -4],\n [-5, 4, -8, 4, -5, -2],\n [6, -6, -8, 10, 8, -7],\n [-10, -7, 1, -2, 5, -4],\n [3, -6, -7, 1, 4, 5],\n [3, -9, -9, 0, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -5, -1, 9, 2, 0],\n [-5, 9, -7, 9, -3, 7],\n [-5, -10, -3, 8, 4, 6],\n [6, 9, -8, 3, 10, -7],\n [5, 5, 2, 7, -5, 9],\n [7, -9, 4, -9, -6, -7]]\nB =\n[[-1, 4, 3, -6],\n [-6, -4, -7, -6],\n [1, -2, 4, 10],\n [10, 2, -7, 7],\n [-4, -8, -7, -10],\n [8, -9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2054", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -9, -4, 10],\n [10, 5, -1, -3],\n [-5, 9, 5, 2],\n [5, -4, -9, -6],\n [-9, -9, -1, -10]]\nB =\n[[-1, -3, 3, -7],\n [4, 1, 6, 1],\n [1, 6, 10, -8],\n [-5, 7, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 8, -5, -5],\n [-6, -5, 0, 9],\n [9, -5, 2, 3],\n [6, -8, -2, -10],\n [6, -8, 5, 4]]\nB =\n[[8, -8, 8, -6, -10],\n [-1, 7, -10, -10, -5],\n [9, -3, 3, 8, -5],\n [1, -5, 0, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-2, -8, -8, -8, -2],\n [7, 1, 3, -9, 7],\n [1, 7, 6, -5, -6],\n [8, 7, 8, -6, 7],\n [-6, 9, 5, 6, -10],\n [-1, 4, -9, -10, 2]]\nB =\n[[5, -7, -8, 1, 9],\n [-5, 6, -1, -6, 5],\n [7, 0, 1, -9, 5],\n [3, 2, 6, -6, 7],\n [2, 1, -2, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -2, 8, -9, 9, 1],\n [-10, -9, 0, 0, -4, -3],\n [-6, -10, 5, -5, 1, -6],\n [8, -9, -1, -9, -4, 2],\n [-4, -3, -4, -4, 1, -2],\n [-5, 2, 4, -3, 6, 5]]\nB =\n[[-1, 1, 0, 1],\n [-4, 5, 3, -3],\n [4, 6, -1, 4],\n [-10, 8, -8, 10],\n [-8, -8, -1, -8],\n [-6, -5, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -5, 4, 5, 9, 4],\n [-5, -1, -4, 9, 6, -8],\n [9, 7, -1, -9, -9, -5],\n [-1, -8, -8, 5, 3, 8],\n [-8, 7, -2, 8, 2, 7],\n [10, 3, -3, 5, -4, 10]]\nB =\n[[1, -8, 8, -7, 2, -5],\n [2, 2, 7, -2, 4, 5],\n [-1, 8, -2, 5, 10, -10],\n [6, 3, 6, -3, 3, -10],\n [-9, 6, 9, -3, -1, 3],\n [8, -3, 6, -5, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 6, -8, -1, 10, -6],\n [7, 7, 5, -5, -7, 9],\n [2, 0, 2, 9, 10, -5],\n [-10, 0, 7, 8, -10, -7],\n [4, -1, -7, -1, -6, 5]]\nB =\n[[-4, 1, -2, 10],\n [10, 2, 0, 1],\n [10, -8, 7, -3],\n [-8, -7, 8, 5],\n [-8, 7, 1, 8],\n [5, -2, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -10, -7, 8],\n [-8, 0, 5, -8],\n [4, 2, 6, 7],\n [9, 0, -5, 2],\n [-4, 9, -10, -4],\n [6, 0, 1, -1]]\nB =\n[[-6, -8, 2, 3, -6],\n [9, 5, -3, 6, -8],\n [-8, 2, -9, -7, 4],\n [2, 9, -5, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -1, 10, 8, 9, -8],\n [6, -10, 5, -8, 0, 0],\n [-10, 3, -3, 10, -4, 0],\n [-2, 2, 5, 5, 4, -9],\n [5, 5, -1, -2, 10, -10],\n [10, -8, -4, -8, -8, 6]]\nB =\n[[-5, -4, -9, 1, 8],\n [-3, -1, -5, 0, 2],\n [-6, 8, 1, 5, -5],\n [-8, -8, -9, 7, 4],\n [7, 1, 8, -2, 4],\n [6, 5, 6, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 5, -7, 7, -1, 5],\n [-4, -1, 9, -7, -7, -5],\n [-7, 1, -5, 1, 5, 1],\n [-7, 1, 10, 7, 1, -8]]\nB =\n[[10, -6, 9, 7, 1],\n [10, 8, 4, -4, -8],\n [-3, 9, -3, -5, -10],\n [-4, -3, -6, -2, -2],\n [3, 6, 6, 5, 3],\n [3, 8, -7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1256", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, -6, -2, -5, -5],\n [-5, -10, -8, 5, 8],\n [7, -8, 10, 4, -2],\n [-10, -10, 4, 6, -7],\n [-2, -1, -9, 10, -9],\n [-7, -5, 3, -2, 7]]\nB =\n[[-10, -9, -4, 9],\n [-2, 6, 1, 6],\n [9, 9, -4, 4],\n [-5, 1, -4, -9],\n [-3, 2, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-9, 7, -10, 5],\n [-9, 4, -6, 6],\n [4, -3, -1, 5],\n [-8, -10, 6, 10],\n [2, -8, -8, -4]]\nB =\n[[9, -3, -2, 4, -1],\n [-2, -9, 6, 1, -8],\n [-5, -4, 10, -2, -8],\n [9, 1, 3, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 2, 10, 5],\n [9, -2, -1, 7],\n [-4, 2, -9, -9],\n [2, -4, 7, 5],\n [3, 1, 2, -1]]\nB =\n[[-5, -10, 5, -1, 5],\n [-9, 2, -1, -3, 7],\n [-5, 7, 4, -10, -2],\n [-7, 7, -9, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -1, 6, 2],\n [7, 2, 0, 5],\n [-5, 4, -6, -3],\n [5, 9, 8, 7]]\nB =\n[[-7, -1, -6, -3, -5, -1],\n [3, -3, -4, 9, -2, 10],\n [3, 2, -8, 8, -3, -9],\n [7, 5, -10, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[9, -7, 2, 8, 8, 10],\n [5, 10, 10, 1, -10, -1],\n [4, 8, -2, -10, -6, 2],\n [2, -7, -7, 0, -10, 7]]\nB =\n[[-2, 4, 5, -5, 8, -10],\n [-1, 6, 10, 1, 0, 6],\n [9, -6, -6, -7, 7, -2],\n [3, -7, -6, -3, 4, 6],\n [1, -3, -1, 1, -9, -1],\n [-5, -10, 0, -3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, 2, 1],\n [-1, -9, 0, 8],\n [-3, 9, 6, -4],\n [10, 4, 5, -6],\n [-10, -4, -4, -9]]\nB =\n[[8, 9, 5, 0, -7],\n [-4, 1, -1, -8, 8],\n [10, -7, -3, -7, -9],\n [-9, -5, 5, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1357", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -5, 7, -8, 10],\n [-4, -3, -4, 5, 5],\n [4, -2, -7, -4, -3],\n [0, -3, -3, 4, 7],\n [-9, -4, 6, -1, 2],\n [5, 3, 8, -6, -6]]\nB =\n[[-6, 4, -2, 7, 6],\n [-9, 3, -4, 6, -3],\n [-2, 8, -10, 5, -10],\n [-5, 2, -9, -6, 8],\n [-1, 5, -9, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, -3, 8],\n [-9, 9, 1, 6],\n [-8, 5, 4, -3],\n [5, -9, 0, 2]]\nB =\n[[10, 9, 0, 5, 6, -3],\n [-8, 0, 1, 4, -6, 9],\n [0, -1, -10, 4, 0, 3],\n [-4, 7, 10, 8, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, -6, -2, 9, 2, -7],\n [-4, 1, 4, -8, -7, 3],\n [2, 4, -5, 2, -6, -3],\n [-7, 9, -6, -8, 3, -9],\n [-5, 10, 4, 9, 8, -10],\n [-8, -10, 8, 8, -4, -5]]\nB =\n[[8, 7, -3, 2, -9, 7],\n [1, -8, -1, 4, 3, 2],\n [8, 6, -5, 6, -7, -10],\n [7, 0, -6, 9, 3, -10],\n [-8, -7, -9, 7, 1, -3],\n [1, -7, 2, -3, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, 0, -4],\n [-6, 3, 8, 9],\n [-10, 0, -10, -8],\n [-1, -10, -6, -7]]\nB =\n[[-7, -7, -1, 5],\n [2, 3, 4, 3],\n [-7, 8, -5, 8],\n [3, 8, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, -2, 3],\n [4, 1, -8, 10],\n [-9, 8, 0, -6],\n [-4, 6, -9, 4],\n [-3, 6, 7, -7]]\nB =\n[[-3, 5, -3, -1, -8],\n [-4, 7, 6, 1, 6],\n [2, -3, -3, 7, -8],\n [-2, -3, -1, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 1, 9, -8, 4, -8],\n [8, -4, -9, 0, -7, 6],\n [-7, -4, -7, -1, 8, -8],\n [-8, 8, 10, -6, -4, -8],\n [-9, -8, -8, -8, 5, -2]]\nB =\n[[8, 7, 10, -4, -9],\n [6, 5, 9, 0, -4],\n [-4, 6, 7, 5, -1],\n [3, -5, 0, -3, 6],\n [-3, 4, -2, 5, -7],\n [-1, 6, 7, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 2, 2, -4, 10, 0],\n [-9, -5, -8, -7, -6, -8],\n [5, 2, 10, 7, 7, -3],\n [-1, 3, -10, -4, -1, 6],\n [-2, 4, 9, 5, 4, -8]]\nB =\n[[8, 6, 5, 7, 6],\n [-1, 2, 3, 2, 5],\n [-4, 8, 5, -4, -3],\n [5, 2, -2, 2, -7],\n [10, 2, 7, 10, 5],\n [-4, -10, 2, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 6, -4, 10, -8],\n [3, -7, -9, -1, 0],\n [-4, 7, -10, 10, 0],\n [9, 0, -1, -9, -9]]\nB =\n[[2, -8, 2, 8],\n [-9, -4, -6, -2],\n [8, 6, 2, -6],\n [9, 10, -7, -9],\n [4, 5, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1358", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -1, -4, 3, 5],\n [-10, -9, 0, -9, -9, 5],\n [-2, 6, 1, 0, -3, 6],\n [-1, -3, -9, 6, 9, -5],\n [7, 7, 3, 3, -10, -8],\n [0, 8, 7, 7, 8, -4]]\nB =\n[[-9, 2, -2, 9, 10, 4],\n [4, -2, -10, -2, 6, -6],\n [-8, 0, 9, 4, -10, -8],\n [8, 10, 2, -4, 10, 2],\n [5, 9, 0, -8, 5, 3],\n [-6, -3, -2, -10, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -8, 2, -5, -5, 2],\n [7, 1, -8, 3, -3, -2],\n [-1, -7, 6, -7, -10, -9],\n [-6, 9, 6, -8, 2, 4]]\nB =\n[[-10, 0, 8, -3, -5, -2],\n [-4, 7, 5, 1, 10, 10],\n [5, -6, 1, -4, -6, 0],\n [-5, 7, 4, 3, 4, 5],\n [-10, 9, 3, 4, -10, 1],\n [0, 3, -5, 10, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2085", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 9, 5, 8],\n [5, -3, -2, 6],\n [-1, -3, 8, -7],\n [-4, 1, -6, 6],\n [-8, 5, -4, -6],\n [3, -1, 10, 8]]\nB =\n[[1, 10, -8, 7, -6, 2],\n [2, 10, 4, 9, 6, -1],\n [-10, 0, -10, -7, 2, 0],\n [7, -5, -9, -5, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2093", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -6, -8, 6, 6, 4],\n [-1, 3, 2, 2, -7, -6],\n [0, -2, 2, -3, 7, 3],\n [9, -9, 7, 3, -3, -1],\n [0, 3, 1, -4, 1, 2],\n [0, 3, -8, -8, -10, 5]]\nB =\n[[2, 5, -5, 4, 4],\n [7, -7, 10, -9, 6],\n [-7, 3, 6, 3, -2],\n [9, 4, -9, -10, 0],\n [7, 3, 4, 1, -7],\n [4, -2, 3, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -7, 3, 1],\n [-7, 2, 3, -6],\n [-8, 2, -8, 10],\n [-6, 3, 9, 3]]\nB =\n[[-9, -6, -7, -6, 1],\n [5, 2, 6, -1, 0],\n [1, -10, 3, 10, 8],\n [10, -8, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1409", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 5, 4, -7],\n [5, -5, -4, 7],\n [9, 2, 5, -4],\n [0, -6, -6, 7],\n [9, 3, 1, 3],\n [2, 1, -8, 7]]\nB =\n[[7, -9, 4, 0, -3],\n [0, -4, 9, 5, -10],\n [-1, -9, 0, -4, -7],\n [4, -6, 7, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1565", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[0, -10, -10, 7],\n [6, -7, 10, 4],\n [-5, 10, 0, -10],\n [-4, 8, -10, 0],\n [-1, 2, 4, -4]]\nB =\n[[10, 1, -9, 1, -3, -8],\n [-5, 7, -10, 10, -10, -3],\n [7, -7, 1, -10, -7, -8],\n [-6, -2, 2, -9, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 1, 7, 5],\n [-10, -9, -9, -9],\n [-6, 4, 7, -6],\n [-9, 1, -8, 10]]\nB =\n[[-7, -3, -5, 9, 0],\n [10, 7, 3, 7, 3],\n [-7, 10, -10, 1, 7],\n [2, -10, 7, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1513", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 9, 9, -2],\n [-7, -10, 10, 9],\n [-9, -8, -6, -6],\n [-3, 4, 7, -1]]\nB =\n[[-9, 1, -7, -9, 6, 6],\n [-1, -1, 0, -5, 6, 1],\n [3, 10, 4, 0, -7, 8],\n [-6, 4, 0, 7, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1718", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 8, 7, 9],\n [-6, -6, 4, -3],\n [-6, 0, -8, -3],\n [-8, -8, -6, 4]]\nB =\n[[-5, -4, 2, -1, -6],\n [-7, -6, -8, -6, 5],\n [1, -2, 3, 2, 10],\n [-8, -6, 2, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 1, 6, -3, 10],\n [1, 6, -6, -3, 1],\n [7, 3, 0, 6, 5],\n [10, 3, -10, -2, 6]]\nB =\n[[-6, 1, 5, 8, 7],\n [9, 1, 0, 2, 9],\n [3, -9, -6, 9, -1],\n [6, -2, 3, 5, -10],\n [9, 1, 9, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1087", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -8, -3, -6, -2, -8],\n [6, -5, -9, 8, 8, 4],\n [9, 4, 1, 2, -1, -9],\n [10, -3, 0, 10, -1, 10],\n [2, -7, -7, 9, 8, 9]]\nB =\n[[-7, -6, 5, 7, -1, 2],\n [-6, 4, 7, 1, 5, 1],\n [-2, 8, 5, 9, -10, 9],\n [6, 9, -1, -7, -8, -4],\n [-10, -7, -1, -8, -8, 4],\n [3, 4, -6, -2, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 7, 2, -6, 2, -7],\n [-4, 1, 10, -2, -8, -8],\n [-1, -9, -5, 3, -6, 5],\n [-7, -2, -1, 3, -8, -10]]\nB =\n[[-8, -3, -1, 5, 2, -1],\n [8, 9, 1, -5, -9, 0],\n [8, 5, 4, -1, -4, 1],\n [-2, -5, 6, -9, -2, 3],\n [10, 7, -7, -10, -7, 6],\n [-8, 7, 3, -10, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 7, 6, -6, -10, -6],\n [7, 0, -1, -8, 0, -10],\n [3, 9, -4, 9, -9, -9],\n [-8, -6, 9, -5, -8, 1],\n [-9, 0, -8, -6, 7, 1]]\nB =\n[[-9, 7, -4, 3],\n [-10, 2, -10, -6],\n [-9, -3, 4, -10],\n [9, -9, -4, -3],\n [1, -4, -1, 3],\n [0, 6, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, 9, 0],\n [-7, -8, 3, -6],\n [-10, 7, -4, 3],\n [10, 7, -7, -8]]\nB =\n[[-1, 0, -6, -2, -6, -2],\n [-9, -6, 0, -2, 9, -7],\n [-1, -8, 4, -4, 6, 5],\n [-9, -4, 8, 9, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -9, 7, 4, -7],\n [5, 0, -7, 3, 9],\n [1, 4, 9, 3, -2],\n [6, 4, 10, -8, -7],\n [7, 1, 6, 1, 6],\n [-7, -8, 1, -2, 2]]\nB =\n[[0, -2, 8, 3, -7],\n [7, -4, -8, 5, -3],\n [-3, 5, 3, 1, 1],\n [-3, 8, -9, -5, 3],\n [3, -2, 6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -7, -1, 2],\n [-4, -5, 5, -5],\n [9, 5, 5, 9],\n [8, 1, 0, 7]]\nB =\n[[6, 1, -2, -4, -10],\n [7, -9, 0, 5, -10],\n [-9, 8, -6, -3, 8],\n [-1, -9, -7, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1282", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-8, 1, -5, 9, 5, -7],\n [-9, 10, -8, 10, -10, 6],\n [-10, -3, -9, -9, 7, -4],\n [-6, -10, -2, 2, -5, -6],\n [-10, 7, 1, 4, -7, 10]]\nB =\n[[4, -9, -10, 10, 4],\n [0, 0, -7, -1, -6],\n [4, -5, 5, -6, 0],\n [5, 6, 0, 5, 9],\n [-1, 8, -6, 6, 2],\n [-5, -3, -10, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 3, 4, -7],\n [-1, -8, -1, 3],\n [-3, -3, -4, 8],\n [-6, 6, 7, 7],\n [-10, 7, 4, -8],\n [4, 4, -5, -2]]\nB =\n[[6, 1, 10, -10, 10, 7],\n [-9, -10, -10, -2, -10, 6],\n [10, 4, 1, 9, 10, 6],\n [3, -8, -5, 5, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-425", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-7, 6, 5, -9, -3],\n [4, -8, -3, -7, -6],\n [3, -4, -2, 4, 8],\n [-4, -8, -10, -8, 7],\n [-6, 6, 9, 2, 5],\n [-4, -2, 1, -10, 4]]\nB =\n[[9, -5, 8, -4, 1],\n [8, -9, 0, -9, 8],\n [-6, -4, -10, -6, -2],\n [-3, -1, 6, 8, -10],\n [1, 0, -2, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 6, 4, 3, 0],\n [4, -3, -5, 7, 9],\n [-7, 5, 4, -10, 10],\n [-4, 2, -8, -9, 6],\n [5, 1, 7, 6, -4]]\nB =\n[[10, -5, 5, -3],\n [10, 7, -1, 10],\n [2, 3, 5, 6],\n [10, 2, -4, -4],\n [10, -7, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 5, -3, 4, -7],\n [-9, 6, -3, 2, -6],\n [-5, -7, 1, 8, -6],\n [10, 6, -5, -8, 2]]\nB =\n[[-3, -2, -9, 1, 9],\n [-5, -3, -3, 4, 7],\n [-1, 8, -6, -8, -8],\n [-5, 7, 10, 1, -7],\n [7, -5, -6, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -3, 8, 9, 1, 9],\n [-10, -4, -3, 9, 8, 5],\n [2, 3, 2, 6, -2, -2],\n [-7, 5, 2, 5, -9, -5],\n [10, 6, 7, 3, 6, -9]]\nB =\n[[1, -8, -3, -1, 0, 3],\n [0, -1, -6, 3, -5, 6],\n [3, 4, 1, -2, -8, 9],\n [-7, -6, 5, -5, 2, -6],\n [-2, -4, -9, 7, 10, 6],\n [-6, -7, -8, -6, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-307", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -10, 8, 10, 4, 10],\n [-2, 2, 1, -10, 9, -9],\n [-2, 2, -10, 5, 8, -2],\n [-3, -9, 7, 3, -10, 6],\n [-10, -9, -10, -10, -3, -3]]\nB =\n[[5, 6, 0, -6, 6, 9],\n [-2, -6, -6, -9, 8, 1],\n [-3, 8, -6, 7, 8, 9],\n [-3, -4, 8, 1, -6, -3],\n [2, 2, -1, -10, -6, 10],\n [-3, 3, 8, 5, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -3, 7, -1, -8],\n [3, 2, -3, 7, 10],\n [-5, -8, -5, 8, 2],\n [0, 2, -3, -8, 5],\n [-8, -2, 6, -2, -7],\n [-9, -3, -5, -4, -5]]\nB =\n[[2, -1, -3, -8],\n [5, -2, -2, -4],\n [-4, 3, -3, 4],\n [7, 1, 6, -9],\n [0, -6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[9, 10, 0, -2, -10, -7],\n [10, 10, -8, -4, -4, -3],\n [6, -9, -10, -2, 10, -4],\n [-6, -10, 6, -10, 10, -3],\n [2, 8, 8, 7, 6, -6]]\nB =\n[[-3, -9, 1, -5],\n [5, 1, -4, -9],\n [5, 3, -1, -3],\n [4, 1, -4, 6],\n [2, -1, -10, 3],\n [-4, 8, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, 2, -10, 9, 9],\n [6, -4, -4, 10, -4, 5],\n [-5, 9, 10, -8, -1, -5],\n [-9, 1, 4, -6, 5, 1],\n [-7, -6, -8, 10, 3, -5]]\nB =\n[[0, -10, -8, -8],\n [7, -5, 1, -9],\n [-2, 7, 1, 1],\n [3, -1, 6, 1],\n [0, -2, -8, -5],\n [5, -9, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -4, -8, 2, 3, -3],\n [0, 7, 8, 0, -9, -5],\n [8, 4, 2, -4, -6, 4],\n [7, 10, -6, 1, -5, 7],\n [-6, -8, 3, -2, -6, -3],\n [-6, -9, -10, -1, 8, 9]]\nB =\n[[-4, 7, -5, 3, -4, -2],\n [-8, 4, -10, 2, -4, 10],\n [4, 6, -9, 10, 3, 9],\n [-8, -5, -2, -10, -10, 2],\n [-6, 3, -7, -6, -10, 1],\n [7, 5, 5, 0, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 3, 6, 6, -5, -1],\n [4, 10, 1, 2, -6, -10],\n [-2, 7, 6, 9, 4, 5],\n [-2, -5, -6, 4, -1, 1]]\nB =\n[[-10, -1, 2, 3, 7],\n [-8, -3, 8, -7, -10],\n [-5, 7, -7, 9, -1],\n [6, -6, -9, 0, 8],\n [8, 1, -9, -3, 2],\n [-4, -5, 9, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -6, 2],\n [2, -6, 0, 3],\n [7, -7, -10, 3],\n [10, 7, 10, 1],\n [2, -4, -10, 0]]\nB =\n[[-2, -6, -3, 4, -3],\n [-8, 6, -9, -2, -3],\n [0, 2, 8, 1, -9],\n [0, 0, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, 0, 9, 5, 10],\n [4, -3, 1, -7, 10],\n [6, 3, 3, 0, -9],\n [3, 7, -8, 5, 6]]\nB =\n[[-4, -7, 3, 8],\n [2, -6, 1, 10],\n [-2, -4, 3, 8],\n [-3, -2, -10, 5],\n [-3, -4, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 2, -1, -9, -5, 0],\n [7, 0, -5, 1, -6, -7],\n [2, 4, 9, -3, 4, 10],\n [3, -5, 9, -8, -10, -10],\n [7, -6, 0, -9, -8, 7],\n [-9, 7, -4, -8, 5, 5]]\nB =\n[[-10, -4, 2, -1, -2, -1],\n [-1, -6, 8, -6, -10, -3],\n [5, 7, 7, -3, -7, 3],\n [-2, 1, -2, 6, -3, 3],\n [0, -5, 10, -10, 7, 1],\n [-9, 5, -9, 3, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -3, 8, 2, -5],\n [-9, -4, -4, -9, 10, 8],\n [9, 1, 7, 8, 6, -6],\n [-8, -8, 7, -2, 9, 7]]\nB =\n[[-2, -8, -6, 2],\n [-3, -2, 3, -3],\n [-8, 8, 0, -3],\n [-5, -8, 5, -7],\n [-5, -8, -3, -4],\n [-1, -3, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-539", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -7, -7, 8, -2],\n [5, 10, 10, -1, -5],\n [-7, -2, -8, -2, 10],\n [0, -10, 2, 10, -5],\n [10, 0, -8, -7, 2],\n [-3, -8, -6, -4, -10]]\nB =\n[[-2, 5, 10, 3, -10],\n [-8, -8, 10, 1, 7],\n [-3, -3, -7, 5, -9],\n [3, 2, -4, 1, 9],\n [7, 5, 7, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[6, -7, -2, 4, 5, -7],\n [-9, 2, 1, 10, 4, 6],\n [-3, 1, -2, -10, 6, 4],\n [0, 1, 0, 5, -2, 6],\n [6, 3, -3, 6, 3, 7],\n [0, -7, 0, 1, 10, 5]]\nB =\n[[-7, -3, -5, -9, -8],\n [-2, 1, -1, 3, -5],\n [-1, -10, 7, 7, -8],\n [-7, -4, -6, -7, 0],\n [10, 2, 10, -3, -1],\n [6, 10, -4, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -8, -1, 7, 6],\n [-7, 6, 7, 4, 6],\n [-3, -4, 7, 2, -6],\n [-8, -6, -2, -4, -7],\n [-8, 10, -4, -4, 8],\n [3, -8, 3, 9, 8]]\nB =\n[[0, -7, 3, 8, 8, 0],\n [1, 0, -3, -5, 7, -3],\n [10, 8, 9, 7, 9, -8],\n [-9, 9, 3, -7, 0, 3],\n [4, -5, -1, -8, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, 9, -6, 7],\n [8, 7, -9, -5, 0],\n [-8, -2, 6, -5, 2],\n [8, 8, 4, 8, 8],\n [8, 2, -7, -4, -3],\n [2, 6, 8, 6, 7]]\nB =\n[[-4, -3, 0, 5],\n [5, 8, -10, 2],\n [-6, 3, 2, -4],\n [9, -5, -10, 5],\n [6, 8, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1772", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 1, -5, -3, -10],\n [-9, 4, -6, -10, -2, 8],\n [-7, -7, 1, 3, -2, 6],\n [9, -5, 7, 5, 7, 10],\n [4, -6, 7, 9, -10, -3],\n [-10, 7, 10, 4, -4, -10]]\nB =\n[[-3, 4, -1, 9],\n [10, 2, 7, 5],\n [9, -3, 9, -2],\n [5, 2, -7, 4],\n [-1, 3, -4, -3],\n [-7, 6, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1663", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 9, 9, -4, -5, -3],\n [-1, -8, 9, 3, 6, 2],\n [-3, 5, 3, 3, 7, -3],\n [-6, -3, 9, 1, -5, 0]]\nB =\n[[4, 6, 1, 10],\n [0, 3, 3, -10],\n [9, -7, 6, 4],\n [-4, 7, 7, -3],\n [7, -7, 4, 5],\n [-6, 9, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -3, 3, 5, 10, 3],\n [-9, -2, 2, -6, -3, -8],\n [-9, 3, -10, -3, -3, -5],\n [5, -7, 8, 8, -2, 5]]\nB =\n[[10, 10, -10, -6, 9, 5],\n [-1, 6, 0, 6, 4, 1],\n [3, -1, 10, 8, -8, 7],\n [8, -9, 10, 8, -2, -3],\n [-5, 2, -9, 7, -1, 7],\n [6, 3, 6, 5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1850", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 3, 7, 10, 6, 6],\n [7, 4, -8, -7, -9, 4],\n [-7, 3, 4, 10, -10, 10],\n [4, 1, 0, -5, 0, 6],\n [4, 2, -1, -9, -9, 5],\n [4, -3, -4, 3, -6, 9]]\nB =\n[[8, 0, 2, -4, 7],\n [-1, -10, 0, 5, -1],\n [5, -5, 9, 10, 7],\n [7, 9, -2, -7, 7],\n [-6, 3, -10, 6, -5],\n [-7, -7, 5, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1577", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 4, 3, -5, 2],\n [9, -10, 8, 5, -5],\n [3, -7, -5, 6, 8],\n [-4, -10, -8, 9, -2],\n [-1, 1, 5, -6, 4],\n [-4, 6, -4, 1, 3]]\nB =\n[[-7, 9, 8, 8],\n [0, -2, 9, -4],\n [5, 7, -8, 9],\n [-1, -10, 4, -7],\n [7, 7, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[2, -3, 10, -8],\n [8, -8, 3, -2],\n [4, -6, 9, -2],\n [2, -5, -2, -2],\n [8, 0, -3, -4]]\nB =\n[[2, -10, -4, -4],\n [1, 1, -9, 1],\n [-7, 5, 3, -4],\n [-5, 2, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[4, 4, 2, -5, 7, -5],\n [1, -9, -3, -7, -10, -5],\n [1, 5, 0, -4, 0, -5],\n [0, -10, -10, -1, -5, 7],\n [0, 7, 5, -2, -4, 1]]\nB =\n[[2, -10, -6, 3, 0],\n [-7, -4, 1, -1, -10],\n [4, 3, -1, 6, 4],\n [-7, -1, -7, -9, -4],\n [0, -8, 5, 5, -5],\n [-2, 0, 1, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 1, 9, 2, -4, 10],\n [-2, -5, -2, 7, 10, -3],\n [6, 0, 7, 5, 6, -1],\n [6, 0, 8, -7, -8, -10],\n [-4, -9, -9, -1, 6, 5]]\nB =\n[[-4, -4, 8, -5],\n [-3, 1, -2, 8],\n [6, 0, -1, -5],\n [-4, -6, -3, 1],\n [8, 10, -5, -2],\n [1, 8, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 0, 9, 0, 2],\n [-2, 6, 0, -7, -6],\n [9, 2, 6, -6, -7],\n [-5, -2, 1, -9, 9]]\nB =\n[[4, -8, 4, 3, 5],\n [-7, 1, -5, -3, 6],\n [-2, -10, 1, 7, 5],\n [-1, -4, -7, -2, -1],\n [2, 2, -2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 0, -6, 8],\n [-8, 2, 2, -7],\n [5, 0, 6, -1],\n [9, -8, -3, 2],\n [-7, -9, -3, 9],\n [2, -9, -9, 5]]\nB =\n[[-6, 1, 7, 4, 5],\n [6, 0, 10, 9, 1],\n [7, -5, 9, 1, -10],\n [-1, -6, -5, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2108", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-10, -4, 8, -5, 5],\n [-1, 6, -5, 1, 3],\n [4, 10, 10, 8, -7],\n [-9, 10, 5, 3, 3],\n [-4, 10, -1, 2, -2]]\nB =\n[[4, 5, 1, 3],\n [0, 3, 9, -10],\n [-8, -10, -3, 9],\n [-6, 8, 5, -10],\n [9, 9, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, -3, 5, -4],\n [-5, 8, -4, 1, 4],\n [7, 6, -2, 9, 4],\n [1, -6, 10, -4, 1]]\nB =\n[[-10, -3, -7, -3],\n [3, 10, -8, -5],\n [3, 5, -3, 8],\n [3, 1, 1, -4],\n [0, -10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-9, -3, -5, 6, 9, -10],\n [0, -10, -5, -4, -7, 9],\n [-4, -8, 9, -6, -3, -1],\n [-6, -4, -7, 8, 7, -1]]\nB =\n[[0, -5, 10, -2, 0, 5],\n [-10, 6, -6, -10, -6, -4],\n [10, -6, -3, 9, -1, 6],\n [9, -9, -1, -10, 7, -4],\n [-2, 4, -2, -6, 10, 8],\n [2, -8, 3, -7, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 8, -4, -2],\n [-2, -8, 0, 1],\n [-7, 0, -10, -2],\n [7, -8, 5, 7]]\nB =\n[[2, -8, -9, -5, -5],\n [9, -4, -7, -10, 6],\n [3, 10, -4, 8, -10],\n [8, -8, 7, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 4, -3, 1, 3, -4],\n [-5, -7, 9, 3, -10, -9],\n [8, -5, 1, 10, 5, 0],\n [-1, 2, 8, 1, 3, 9],\n [10, 4, -3, 4, 6, 2],\n [-9, 0, -6, 0, 10, 1]]\nB =\n[[2, -9, -5, -2, -7, 6],\n [-4, -9, -5, 0, -8, -8],\n [1, -10, -4, 6, 5, -7],\n [9, 5, 1, 0, -9, -1],\n [-9, 10, 1, 7, 4, 1],\n [-1, 4, -6, 6, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 4, 7, -1, -4, -10],\n [6, 3, -6, 2, -9, 0],\n [10, 2, 8, -8, 4, -9],\n [1, -7, 2, -3, -7, -2],\n [9, -3, -5, -7, -1, 8],\n [-9, -1, 10, 4, 4, -8]]\nB =\n[[-7, -5, 7, -7, 9],\n [-6, 7, 5, 10, -7],\n [-7, 7, 1, -7, -4],\n [9, -6, 1, 0, 5],\n [-7, 9, -2, -7, -7],\n [-6, 3, -3, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -4, -9, -10, -4, 6],\n [-4, 1, -9, 9, -5, -8],\n [1, 7, -5, 3, 4, 4],\n [9, -10, 10, -6, -2, -10],\n [8, -10, 8, -5, 1, 6],\n [-2, 8, -5, -5, 5, 3]]\nB =\n[[3, 4, 9, -1],\n [5, -6, 9, 6],\n [3, 6, -6, 9],\n [9, 4, -8, 3],\n [-4, 0, -3, -8],\n [5, -4, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -10, -6, -3, -8, 7],\n [10, -7, 0, 4, -5, 1],\n [-6, -10, 5, -1, -9, -2],\n [-7, -2, -2, -7, 2, -5],\n [6, 2, -3, 0, -8, 2],\n [3, -8, 0, 0, 1, 3]]\nB =\n[[-7, -3, -2, 4, 5],\n [-2, 9, -1, 6, -5],\n [-10, 2, -4, -9, 10],\n [9, 10, -4, -7, 3],\n [-4, -1, -1, 6, 8],\n [10, 5, 6, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -8, 5, 1],\n [-1, -5, 4, 5],\n [3, -1, -7, 5],\n [-1, 0, -9, -5],\n [7, -4, -3, -3],\n [3, -2, -10, -3]]\nB =\n[[0, 2, 10, 10, 2],\n [-1, 1, -7, -7, 7],\n [2, -6, 5, 2, 10],\n [-3, 8, 0, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1182", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -4, -10, 0],\n [-8, -9, -9, 8],\n [0, -4, -6, 5],\n [-10, 8, -9, -8],\n [-4, -2, -3, -1]]\nB =\n[[-4, -3, 8, 5, -10, -7],\n [8, -4, -5, -2, -3, 6],\n [0, -9, -10, 8, -9, -3],\n [10, 1, -2, -8, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2044", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -7, -8, 7, -4],\n [1, -7, 8, 9, 9],\n [-3, -6, 5, -3, 6],\n [7, -9, 3, -2, 8],\n [4, -4, 5, 9, 0],\n [-5, -1, -7, -2, 3]]\nB =\n[[-2, -10, -5, -9, -3],\n [0, -5, -5, -4, 0],\n [-4, -7, -5, 2, -10],\n [4, 0, 1, 8, 9],\n [-4, 5, 5, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "630", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -7, -2, -3, -9],\n [8, -8, 2, -8, -6],\n [1, 0, 2, -2, -7],\n [9, 10, -3, 5, 5]]\nB =\n[[10, 4, 7, -4],\n [4, 8, -6, 0],\n [8, -6, 9, -7],\n [-10, -4, -2, -9],\n [6, 3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -5, -2, -6, -5],\n [-9, 5, -10, 0, 8],\n [3, -6, 10, 7, 6],\n [7, -2, 2, -7, -7],\n [-5, -7, 4, -7, -1]]\nB =\n[[6, 6, -8, 9],\n [1, -3, 9, 0],\n [-8, 3, -2, -7],\n [-8, 9, -2, 3],\n [1, 8, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 2, -8, 7, -5],\n [-10, 2, 7, 4, 5],\n [-2, 0, 0, 9, 1],\n [-2, -4, -4, 0, -6],\n [-6, 2, -10, 1, 10],\n [3, 10, 8, -5, 9]]\nB =\n[[3, 10, 10, -5],\n [-8, -3, 8, 7],\n [-2, -6, -4, 10],\n [6, 0, -4, -1],\n [-2, -4, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 0, 6, 7],\n [6, 8, 4, 7],\n [7, 5, -3, 9],\n [2, -7, -2, -10]]\nB =\n[[-9, -7, -6, -6, 3],\n [-2, -9, -3, 10, -1],\n [-4, 2, 7, 5, 9],\n [-5, 2, 1, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -7, 3, 5, -8, 2],\n [-5, -2, 10, -10, -6, -6],\n [-1, -4, -1, -2, 6, -3],\n [-10, 10, 4, -7, 4, -6]]\nB =\n[[7, -1, 1, 5],\n [-7, 5, -8, 2],\n [-5, -5, -3, 0],\n [-8, -10, -6, 7],\n [-4, 10, 5, 8],\n [9, -1, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -9, 7, 0, -1, 9],\n [8, 9, 4, -6, -1, 8],\n [2, -5, 10, -8, -10, -7],\n [8, -10, 5, -1, 6, -4],\n [-10, -6, -9, -5, 4, -4]]\nB =\n[[5, -4, 5, 10, 8, -8],\n [1, 2, 9, 10, 9, 4],\n [-7, 6, 9, -3, 10, -5],\n [-6, 8, 1, -1, 0, 0],\n [6, 8, -6, 6, -8, -5],\n [-9, 6, 7, -4, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-591", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -5, 5, -3, 8],\n [-5, 3, 0, -9, -8],\n [5, 5, -6, 9, 2],\n [10, -3, 10, -3, 5],\n [-9, 0, -2, 3, 10],\n [1, -5, -4, -2, 7]]\nB =\n[[-7, 3, -7, -1],\n [-2, -9, -9, 4],\n [-5, -1, -10, 3],\n [-7, -10, 1, -6],\n [-6, 8, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-8, 5, 9, 4, -8, 8],\n [3, 10, 3, -8, 10, 7],\n [9, -7, 5, 8, -4, 10],\n [-5, 6, -3, 2, -3, -5]]\nB =\n[[0, -5, -3, -10],\n [8, -6, -2, 1],\n [2, 4, 9, -6],\n [2, -10, 5, 6],\n [7, -6, 6, 6],\n [-10, -8, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, -1, 7, -10],\n [9, -7, 6, -2, 4],\n [0, -4, -7, 4, -1],\n [3, 2, -7, -3, 5],\n [-2, 0, 8, 0, 2],\n [0, -1, 4, 7, 6]]\nB =\n[[1, 6, 6, 10],\n [9, 8, -5, 0],\n [8, -1, -4, -9],\n [-7, -5, -2, 5],\n [-1, 3, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "963", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, 1, 10, 0, 4],\n [6, -5, 2, 2, -7, 3],\n [-1, -6, 1, -4, -7, -8],\n [7, 3, 1, 0, 9, -3],\n [-1, 8, 2, 6, 5, -8],\n [-2, -4, -7, -7, 8, 10]]\nB =\n[[8, 7, 9, 8, -5],\n [-5, -1, 1, -7, -8],\n [-1, -7, 1, -6, 6],\n [0, -10, 7, -7, -4],\n [-8, -3, 4, 8, 0],\n [5, 3, 7, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1973", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 2, 0, 8, -8],\n [-1, -10, -2, -1, 2],\n [6, -7, 7, 1, 10],\n [7, -8, 1, -6, 4]]\nB =\n[[3, -7, -1, -8],\n [7, -3, 1, 7],\n [-1, -1, -3, 0],\n [-8, -6, -9, -3],\n [7, 3, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, -6, 8, 0],\n [-8, -2, 8, -2, 9],\n [5, -2, -7, 10, 10],\n [9, -5, 3, 3, -9]]\nB =\n[[6, -7, 1, -5, -6, 0],\n [-8, 0, 1, -9, 4, -10],\n [2, -6, -8, -3, 10, 3],\n [10, 5, 8, -10, 1, 4],\n [-7, -9, -4, -2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1790", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, -9, -1, -2],\n [-7, -5, 8, 9, -6],\n [1, 7, -8, -4, 4],\n [-8, -9, -4, 3, 4]]\nB =\n[[3, 4, 10, -2],\n [9, 10, -9, 1],\n [-8, 2, -4, 3],\n [10, 10, -4, -7],\n [-4, -7, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "815", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -10, -9, -2, -10, -10],\n [2, 9, 1, -7, -7, -7],\n [10, 10, 5, -8, -10, -6],\n [-4, -1, -5, -1, 4, 2],\n [-10, -5, 6, -1, -6, -6]]\nB =\n[[8, -7, 1, -1, -8, -5],\n [4, 1, 7, 6, -8, -8],\n [-5, 4, 0, 5, 1, 6],\n [1, 6, -5, -1, 10, 0],\n [-3, 6, 9, -4, 7, -8],\n [10, 10, 4, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2855", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, 8, 2],\n [-7, -9, -9, 2, -8],\n [-10, -4, 0, 5, 1],\n [-6, 5, 3, 9, 10],\n [-9, -4, 3, -10, -1]]\nB =\n[[3, -4, 1, -4, 8, -5],\n [10, 3, -3, 9, -3, 3],\n [-4, 9, 3, -9, 7, -1],\n [2, 5, -4, -1, 1, -8],\n [7, 7, 3, 7, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -2, 5, 2, -3],\n [0, 7, -2, 9, -4],\n [-10, -5, 6, 2, -1],\n [4, 4, -2, 8, -1]]\nB =\n[[10, -2, -9, -6, 5, 3],\n [-6, 3, 1, 3, 4, -9],\n [-9, -9, -4, 0, 3, -5],\n [-4, 2, 0, 1, 6, -10],\n [-5, 1, 0, 8, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -9, 9, -4, 10, -9],\n [-1, -8, -8, 2, 6, -1],\n [7, 0, -10, -8, -7, 8],\n [8, -4, 9, 10, 3, -10]]\nB =\n[[1, 10, 2, 3],\n [1, -1, -3, -6],\n [-4, 7, 2, -8],\n [-5, -2, 0, -4],\n [2, -4, 3, -5],\n [7, -8, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-5, -5, 10, 5],\n [9, -8, -7, -4],\n [2, -6, -8, -3],\n [-3, 0, -8, -8]]\nB =\n[[4, 3, 5, 0, -5],\n [8, 6, -10, -1, 2],\n [-7, -2, 6, -1, 8],\n [8, 0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 3, 8, 1, 6],\n [-4, -2, 2, -3, -6],\n [5, 8, 5, 7, 6],\n [9, -1, 6, 5, -1]]\nB =\n[[-2, -5, -6, 8, 8],\n [-3, 8, -2, 4, 1],\n [9, -10, 1, -7, 0],\n [-7, -8, -5, -6, -7],\n [-9, -10, -9, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 8, 7, 2, -5, -6],\n [-1, 6, 3, 9, -1, -10],\n [-8, -8, 6, 2, 0, 7],\n [-4, -4, -9, -6, -6, -9],\n [5, 5, 4, 2, -4, -1]]\nB =\n[[7, 3, 3, -5, 6],\n [-6, -4, -10, 10, 5],\n [2, -8, -10, 5, 5],\n [-5, 6, 1, -7, -8],\n [6, -9, -3, 8, 1],\n [-1, -5, 5, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -3, -3, -3],\n [0, -1, -5, 5],\n [-9, -9, 4, 9],\n [9, 5, -4, -7],\n [5, 6, -6, 10]]\nB =\n[[9, 7, 5, 8],\n [-3, 9, 3, 5],\n [2, 10, -9, -7],\n [-8, -9, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 2, -7, 5],\n [-8, 8, 7, 0],\n [-2, -9, 7, 10],\n [-1, 0, 2, -9],\n [6, 3, -3, 6],\n [-1, -9, 4, -3]]\nB =\n[[8, -8, 1, -1],\n [-9, 0, -2, 1],\n [7, -8, 0, 6],\n [5, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, 3, 8],\n [-6, -10, -7, -8],\n [9, 3, -6, 10],\n [4, 2, 2, 7],\n [9, 1, -2, -5],\n [9, -2, -5, -3]]\nB =\n[[-9, 8, -6, 6, -9, -9],\n [8, 9, -6, 6, -9, 7],\n [-4, -7, 2, -8, 2, 5],\n [-5, -5, -1, -3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-385", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, -7, -7, 10],\n [4, 1, -9, -9, 2],\n [-10, 1, 0, 0, -6],\n [-5, 3, -7, 7, 7],\n [7, 2, 5, 10, 0],\n [7, 1, 3, 7, 9]]\nB =\n[[2, -7, -9, -6, -7, -4],\n [-4, 8, 6, 6, 9, 8],\n [10, -5, -8, 3, -2, -4],\n [9, 5, -2, -4, 4, -3],\n [-3, -5, 4, -9, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-10, 5, -1, 5, 1],\n [-8, 2, 7, -3, -1],\n [-10, -8, -10, -7, 0],\n [6, -3, -4, -8, 6],\n [9, 5, -6, 7, 2]]\nB =\n[[4, -8, -9, -5, -8],\n [-7, 6, 8, 4, 6],\n [10, 10, 7, -10, 3],\n [-1, -5, 2, 3, 0],\n [0, 2, 7, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, -6, 8, 1, 1, -4],\n [-3, -6, -9, 2, -1, -5],\n [-3, 8, -5, 6, 9, -2],\n [9, 4, 6, -10, 5, 6],\n [-5, 4, -4, -2, -6, -8]]\nB =\n[[-7, -3, -6, 3],\n [6, 2, -9, -10],\n [-1, -6, -1, -3],\n [-4, -9, -9, 0],\n [-2, 5, 8, -4],\n [-8, 1, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -10, 9, -9, -7],\n [1, 4, 8, 3, -5],\n [-9, 4, 3, -5, -3],\n [2, 8, -3, -10, 9],\n [-6, 8, 9, -9, -9],\n [-10, -3, -1, 10, -10]]\nB =\n[[4, -1, 6, -5, 3, 4],\n [4, 10, 3, -9, 10, 4],\n [4, -4, -5, -7, -3, 2],\n [9, 0, 8, 4, 0, -1],\n [1, 1, -6, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 2, 7, -3, -2],\n [0, -1, -2, 4, -7],\n [-1, -1, 1, -2, 10],\n [2, 10, 2, -9, -7],\n [6, 3, 6, -2, -3]]\nB =\n[[7, -1, -7, -5],\n [7, -1, 2, -9],\n [-7, -7, -3, -7],\n [1, 3, -9, -9],\n [-5, -9, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 6, -2, 3, 0],\n [-9, 9, 3, 4, -1],\n [-8, 0, -3, 8, 7],\n [0, 0, 5, 3, 5]]\nB =\n[[9, -5, -7, 7],\n [6, 9, 2, 6],\n [4, -7, -1, 6],\n [7, -7, 1, 1],\n [-7, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[10, -3, 8, 6],\n [-6, 4, 4, 9],\n [4, 2, -9, 9],\n [-10, 2, 7, -9]]\nB =\n[[6, -4, 5, -4, -2],\n [5, 0, -2, 7, 0],\n [-1, 5, -5, -4, 8],\n [-6, 6, -3, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 0, -5, -7, -2, 0],\n [-5, -8, 3, 8, -10, 2],\n [-1, 7, 6, 0, -3, 10],\n [-4, 6, 0, 3, 8, -4]]\nB =\n[[9, 1, 5, 9, -2],\n [-8, -9, -9, 5, 3],\n [0, 10, 8, 9, 8],\n [-9, 1, 7, 4, -1],\n [5, 8, -5, -4, -2],\n [-4, -8, -4, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 10, 2],\n [-1, 10, -1, -6],\n [-1, -6, 10, 1],\n [-1, 8, 7, 0],\n [10, -3, -2, 1],\n [1, -3, 1, -7]]\nB =\n[[-7, 8, 8, 4, -5],\n [7, 5, -8, 6, 10],\n [-10, 9, -7, -3, -5],\n [9, 10, -7, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2084", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 4, 10, 7, -7, 9],\n [-3, 2, -9, -9, 8, 0],\n [-1, 4, -3, -6, 6, 1],\n [-6, -1, -10, -1, -6, -10]]\nB =\n[[9, 5, 7, 5, -10, -8],\n [-7, 8, -2, 9, -9, -3],\n [6, -8, 3, 3, -7, -5],\n [-4, 7, 5, -7, -8, -7],\n [6, -7, 9, -4, -9, 2],\n [4, 0, 2, -6, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[6, -5, 8, 2, 7],\n [9, -6, 1, -6, -9],\n [2, -10, -10, 0, 6],\n [2, 5, -4, 9, 10],\n [-9, 10, 2, -5, 4],\n [5, -5, -8, 5, -4]]\nB =\n[[7, -7, 8, -2, -5],\n [-7, 3, -1, -4, 10],\n [2, -9, -10, -7, 0],\n [4, -10, -1, 9, 1],\n [-10, 6, 10, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -6, -9, -7, -9, 9],\n [3, -9, 10, -3, 0, 4],\n [-4, -6, -7, -1, -8, 8],\n [-9, 0, -8, -9, 7, -1],\n [4, 7, -3, -8, -4, 2],\n [2, 10, -2, -1, -9, 1]]\nB =\n[[10, 1, -2, 9],\n [9, -1, 0, -7],\n [-10, -9, -3, -4],\n [-2, 2, 1, 1],\n [2, -2, -4, 3],\n [9, -1, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 0, 3, 5, 5, 6],\n [7, -4, 4, 5, -9, -8],\n [-8, -10, 9, 8, 0, 5],\n [3, 0, 10, -2, -1, 3],\n [-1, -2, -1, 1, -6, 8],\n [4, 1, -2, 6, -8, -9]]\nB =\n[[-10, -2, -6, 0, 0],\n [5, 0, -10, 6, -2],\n [-1, -8, 9, -5, -9],\n [-5, -2, -3, -10, -6],\n [9, 8, 2, -9, -6],\n [6, -8, -10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1005", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[9, -7, 4, 3, -7, 3],\n [6, 5, 10, -7, 2, -10],\n [4, -10, -4, 5, -10, 3],\n [3, -8, 5, 5, -3, 8]]\nB =\n[[8, -6, 1, 0],\n [-8, -7, 3, -6],\n [8, -9, -9, -4],\n [-5, 9, 8, 3],\n [-1, 0, -3, -3],\n [7, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -4, 2, 1, 0],\n [-7, 0, 1, -10, -3],\n [8, -1, -10, -2, -1],\n [-8, -9, 4, 8, 6],\n [4, -8, -5, -10, 0]]\nB =\n[[-10, 4, -8, 4, -10],\n [10, 2, -9, -3, 5],\n [10, -2, -7, 8, 7],\n [-10, -10, 9, 5, -1],\n [-6, 5, 6, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 0, -4, -1, 0],\n [-1, 4, -2, 4, 0],\n [5, -5, -7, -6, -6],\n [5, 0, -9, -2, 8],\n [-6, 8, 8, 7, -7],\n [10, 7, -10, -5, 6]]\nB =\n[[10, 5, -3, -10, 7, 0],\n [4, 0, 4, 8, -4, -6],\n [6, 3, -2, 0, -5, -1],\n [-1, -4, -2, 0, 8, -1],\n [-5, -8, -3, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 10, -5, 6, -10, 7],\n [8, 1, -4, -10, -1, -3],\n [1, -7, 3, 7, -8, -2],\n [-7, -9, 4, -5, 0, 1],\n [-6, 8, 6, 10, 3, 4]]\nB =\n[[6, 6, -6, -2, 5, 4],\n [-3, 5, 9, 10, -8, -7],\n [-8, -2, 6, 6, 6, -4],\n [8, 5, 7, -9, 10, -5],\n [1, 1, -8, 9, 3, 5],\n [5, -9, -4, 1, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2286", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -6, -1, 2],\n [-5, 6, -7, 3, -6],\n [5, 6, -7, -5, -1],\n [2, -4, 9, 10, 10],\n [-3, 1, 4, 9, -7],\n [-1, 3, 6, 9, 4]]\nB =\n[[7, 2, 1, -4],\n [-8, 10, 2, -6],\n [-2, 7, -5, 8],\n [-9, 8, -4, -10],\n [7, -10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[3, 1, -3, -9],\n [7, -2, 7, -6],\n [-9, 2, -3, -1],\n [-3, 8, -6, -1],\n [-4, -1, -3, -2],\n [8, 6, -3, -3]]\nB =\n[[-4, 5, 0, -9, -3],\n [9, 8, 1, 2, -9],\n [2, -10, 9, 5, 4],\n [10, 5, 3, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -6, 5, -7],\n [4, 4, -2, 10],\n [7, 8, -6, -5],\n [-9, 0, -6, -5],\n [5, -4, -2, 5]]\nB =\n[[-1, 3, -5, 10, -2, 1],\n [0, -3, 2, -2, 0, -6],\n [-6, 3, -3, 7, 7, -1],\n [-1, 3, 5, 1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 5, 2, 7],\n [-5, 0, -6, -9],\n [-8, 10, 5, 6],\n [-2, -10, -5, -2],\n [-5, 3, -5, 0]]\nB =\n[[-6, 5, -6, 5],\n [8, 10, -7, -7],\n [7, 6, -9, 6],\n [-3, 10, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[9, -10, -1, -4],\n [9, 0, -10, 6],\n [1, -6, -5, 5],\n [-7, 7, -9, -6]]\nB =\n[[4, 8, 1, 3, -7],\n [-3, 10, -9, 2, 9],\n [4, 0, 5, -1, 1],\n [10, 9, -9, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-10, -9, -1, -10, -1],\n [-4, -1, -5, -7, -7],\n [-3, -7, -3, 0, -7],\n [3, 10, 6, 7, -3],\n [-7, 10, -2, 10, -8],\n [9, -10, 10, 6, 10]]\nB =\n[[9, 9, 2, -4],\n [-4, 4, 3, 5],\n [8, 2, -9, -6],\n [2, -6, 10, -10],\n [7, 4, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, 4, 1, -2],\n [-5, 10, 6, 3, -2],\n [0, -5, -1, -4, -7],\n [2, 4, 7, 9, 4],\n [-7, 2, 1, 3, -1]]\nB =\n[[-8, -4, 9, -8, 1, 8],\n [0, 8, -5, 3, 4, -10],\n [-5, -6, 2, 8, -10, -10],\n [7, -8, 8, -5, 8, 6],\n [-5, 4, -8, 0, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1595", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 5, 9, -8, 4],\n [1, 8, 9, 9, -5],\n [5, 3, -2, -9, -3],\n [-7, 5, -7, 0, 6],\n [1, -10, 9, 8, 1],\n [-8, -7, -7, -6, 4]]\nB =\n[[2, 2, -4, -9, 8],\n [8, 4, 10, 3, -10],\n [-7, -2, 9, 9, -6],\n [5, -8, -3, 10, -1],\n [0, 4, 7, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-1, -5, -3, -7, -2, 7],\n [-7, 3, -3, 10, -2, 0],\n [-5, 2, -5, 8, 10, 1],\n [7, 4, -8, 0, 4, 10]]\nB =\n[[3, -3, 9, -10, 4],\n [-10, -4, 6, 8, 9],\n [6, -10, 10, -6, 10],\n [-3, -3, -8, 0, 8],\n [8, 1, -7, 1, 7],\n [4, -8, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -9, -7, -3, 4, 3],\n [-1, 2, -10, -5, -9, 10],\n [0, 2, 8, -9, 5, -7],\n [0, 4, 3, -10, -2, 4],\n [2, 7, 1, 1, 5, -5],\n [3, 9, 10, -3, -10, 3]]\nB =\n[[3, 7, -5, 4, 4, 5],\n [5, -8, -10, 6, -8, -4],\n [-10, -9, -8, -5, 0, -7],\n [-9, -1, -10, 9, 6, 9],\n [-2, 5, -2, -3, -10, 10],\n [-5, 0, 0, -9, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-596", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, -3, 6],\n [9, 2, -2, 3],\n [-4, -4, 10, -7],\n [-3, 5, -8, 2],\n [2, 2, 6, -3],\n [4, 2, -4, -4]]\nB =\n[[0, -4, 5, 6, 2],\n [8, -5, 5, -6, 3],\n [-6, 5, 8, 2, -7],\n [10, -6, -1, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 10, 1, 6],\n [-9, -2, -7, 5],\n [1, 6, 0, 5],\n [4, 4, -4, 10],\n [-5, 0, 1, 8]]\nB =\n[[4, 4, -8, -6, 10],\n [-4, 0, 5, 1, -9],\n [-1, 1, -5, -10, -2],\n [3, -4, 5, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, -4, -1],\n [-1, 5, 7, 9],\n [7, 7, 5, 7],\n [-3, -3, 7, -7]]\nB =\n[[8, -2, -2, -5, -8],\n [8, 0, -6, 5, -1],\n [1, -2, -10, 6, -9],\n [-2, -5, 3, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 9, -8, -10],\n [-3, -9, 7, -4],\n [7, 9, -10, -2],\n [-10, 6, 10, 10],\n [8, -8, -5, -6]]\nB =\n[[6, -2, 3, 8, -7],\n [-6, 9, -5, -10, 5],\n [-9, 0, -9, -5, 9],\n [-7, 10, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 5, 7, 1, -5, -8],\n [-2, -3, -10, -7, -4, 10],\n [7, 6, 10, -3, 8, 8],\n [-10, -8, -2, -6, -7, -4],\n [10, -1, 6, -1, -3, 8]]\nB =\n[[6, -4, 4, 0],\n [2, -2, -7, -6],\n [10, 0, 8, 7],\n [-7, -7, 8, -1],\n [-1, 4, 2, -4],\n [8, 9, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 7, -5, 0, -5, 6],\n [6, 7, -2, -4, -8, -3],\n [2, 7, -3, 7, 2, 9],\n [4, 6, 6, -9, -8, -8],\n [8, 4, 7, -8, 3, 2],\n [2, 5, 1, -4, 6, 7]]\nB =\n[[-7, 1, -10, -1],\n [-3, -8, -1, -3],\n [3, 2, -4, 8],\n [2, 6, 5, 5],\n [-3, -10, 5, 2],\n [3, -5, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 10, 1, 7, 3, -9],\n [-2, -5, 8, 6, 10, 7],\n [-2, 6, 10, 8, -2, -5],\n [7, 10, 6, 10, 3, 1]]\nB =\n[[1, 6, -7, 2],\n [-7, -7, 7, 7],\n [0, 3, 6, -4],\n [-10, 1, 2, 7],\n [5, -9, -7, -3],\n [-7, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 2, 2, -8, 2],\n [1, -5, -6, 4, 5],\n [7, 4, -7, -1, -4],\n [6, 7, -5, 1, 5]]\nB =\n[[-7, 2, -6, -9, -6],\n [5, 2, -10, -8, 10],\n [-3, 2, -6, 6, -2],\n [10, 1, 5, -7, 0],\n [-4, 4, 7, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-516", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -2, 7, 1, -1],\n [3, -5, -3, -5, -1],\n [-6, -3, 10, 9, -4],\n [3, -1, 5, -8, -2],\n [-4, -6, -7, -6, -8]]\nB =\n[[10, -10, -8, 8],\n [-7, -1, 3, -5],\n [-1, -2, 0, 4],\n [-4, 0, -1, 0],\n [-5, -6, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "917", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-9, -1, 9, -4],\n [-9, -4, 0, 6],\n [7, -7, 4, 1],\n [-3, 0, -1, 5]]\nB =\n[[-8, 10, 4, 4, 3, 1],\n [-8, 4, -10, -4, 0, -4],\n [3, 3, 1, 4, -10, 5],\n [5, -6, 1, -7, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, -5, 6],\n [10, -9, -3, 7],\n [10, -7, 8, -4],\n [2, -7, 5, 7]]\nB =\n[[6, 9, -10, 6, 5],\n [0, 6, 8, 3, -7],\n [6, 2, -9, -6, -4],\n [3, -9, 1, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-455", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 8, 9, 7],\n [8, 0, -2, -4],\n [8, 6, 0, -9],\n [-10, -7, 5, -3],\n [2, 2, -9, 10],\n [-4, -10, -3, -6]]\nB =\n[[-6, 7, 3, -9, -9, -10],\n [-1, 9, -10, 8, -10, -8],\n [-8, -10, -2, -1, -7, 2],\n [5, 9, 2, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3054", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-6, -3, -1, 6, 5, -6],\n [0, 4, 7, 6, 6, -3],\n [-6, 0, 6, -6, -9, 0],\n [-10, 10, 0, 0, 7, -9],\n [-10, -4, -6, 9, -7, 1]]\nB =\n[[6, 5, -4, 9],\n [8, -5, 2, -1],\n [-2, 7, -2, 2],\n [-6, -9, 6, 7],\n [-8, 9, 2, 1],\n [4, -6, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, 5, 0, 8, -5],\n [-7, -10, 3, 6, -4, 8],\n [-2, -7, -2, -6, -3, -4],\n [6, 6, 8, -5, -3, 0],\n [-2, 6, -10, -7, 0, -4]]\nB =\n[[-2, 4, 5, -7],\n [-3, 8, -6, -6],\n [-1, -5, 0, 7],\n [4, -1, 3, -10],\n [5, 10, -5, 5],\n [-9, -9, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[2, 5, -3, -10, -8, -1],\n [4, -10, -4, -7, 10, -2],\n [3, -2, -3, 2, -1, 2],\n [4, 1, 6, 0, -3, 4],\n [5, -9, -7, -9, 5, -5]]\nB =\n[[-3, 8, -2, -7, 4],\n [2, 9, -9, -5, -8],\n [2, -6, -7, -5, 9],\n [8, -4, 8, 0, -3],\n [-9, -6, -9, 5, -8],\n [2, 6, 10, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 1, -9, 10, 3, -9],\n [-2, -8, 5, -2, -3, 7],\n [-10, 4, 7, 7, -3, 9],\n [8, -10, 6, 0, 10, -6]]\nB =\n[[1, -2, 0, 6],\n [-2, -4, 7, 2],\n [-5, 3, 8, -5],\n [8, -1, 7, 0],\n [4, -1, 2, -5],\n [10, -7, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 1, 9, 1],\n [4, -2, 10, 6],\n [4, -6, 7, -5],\n [-9, 0, 6, 7],\n [10, -6, 1, -6],\n [-5, -7, -3, -2]]\nB =\n[[-10, -2, -2, -1],\n [-4, 1, 5, -6],\n [-2, 5, -10, -8],\n [-5, 1, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-437", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, 1, -9, -5],\n [8, 0, -10, 10, -4],\n [9, -1, 9, 8, -7],\n [-5, 5, 9, -6, -10],\n [4, -1, -4, 8, -3]]\nB =\n[[5, -8, -2, 6, 4, -9],\n [-4, 6, -1, 6, -8, -10],\n [0, 6, -8, -4, 3, 1],\n [-10, -4, -1, -6, 1, 0],\n [6, 0, 1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-619", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 2, 2, -2, -2, 4],\n [9, -8, 6, -5, -6, -2],\n [-2, 6, -10, 10, 6, 9],\n [-1, -4, -6, 5, -2, -5],\n [8, 5, 9, 10, -4, -3]]\nB =\n[[-7, 7, -5, 9],\n [5, -6, -10, 5],\n [-9, -9, -7, -9],\n [6, 7, -6, -9],\n [-1, -1, 3, -8],\n [0, -9, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -7, -3, 0, 6, 7],\n [1, -4, -6, 7, -4, -9],\n [8, 2, 10, 10, -2, -8],\n [-2, 8, -8, -1, -2, 1],\n [8, 3, 9, 10, -5, 10]]\nB =\n[[7, -3, 10, 5, 9],\n [10, -5, 2, 2, -3],\n [6, 6, -1, 9, 5],\n [-6, 5, -5, 10, 7],\n [1, 8, -5, 6, 4],\n [-6, -7, 1, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1838", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -3, 6, 2],\n [1, -6, 0, -6],\n [-5, 8, 9, -8],\n [7, 1, -4, -9]]\nB =\n[[1, -7, 10, -4, 0, 9],\n [2, -2, -9, 0, 9, -8],\n [3, 2, 6, 10, -5, 7],\n [4, 2, -7, -3, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 3, 7, -7],\n [-2, -5, -1, -8],\n [-6, 4, 2, -3],\n [9, -4, -4, 0]]\nB =\n[[-9, -1, 2, -2, 4],\n [7, 6, 5, 10, 6],\n [-7, -1, -5, -8, 7],\n [4, -5, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-3, 0, 6, 9],\n [-2, 7, 6, -1],\n [7, -3, 4, 8],\n [-2, -2, 0, 8]]\nB =\n[[8, -6, 9, 3],\n [-3, -6, 1, 6],\n [1, 1, -1, 1],\n [3, 10, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 1, -10, 9, -8, 2],\n [6, -2, -3, -10, 5, -9],\n [10, 1, -10, -9, 0, 3],\n [-6, -8, 10, -4, -6, -4],\n [2, -4, 2, 3, -6, 8]]\nB =\n[[-8, 7, -2, 5],\n [-9, 6, 8, -5],\n [9, -10, -7, 1],\n [10, -5, 6, -1],\n [4, 7, 1, 10],\n [-8, 7, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[10, -2, -3, 9],\n [7, 7, -2, -5],\n [2, -10, 7, 1],\n [8, 6, 7, -6],\n [-10, 2, -1, 8],\n [5, 5, -9, 9]]\nB =\n[[-1, -5, -1, -8],\n [-4, 7, 5, 1],\n [9, 1, 3, 3],\n [-6, -4, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 3, 2, 3, -4, -1],\n [8, 2, 10, 9, 10, -6],\n [8, -4, 8, 2, -7, 1],\n [-7, 9, -1, -1, 1, -8],\n [-8, 4, 2, 0, 0, 4]]\nB =\n[[-5, -10, -9, -2, 9, 7],\n [-7, -1, 4, 6, 6, 5],\n [-10, -5, 6, 1, 9, -10],\n [-2, -6, -7, -4, 2, -3],\n [-10, 2, -5, 8, -7, 6],\n [8, -8, 2, -1, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, -10, -6, -4],\n [7, -5, -9, -7, -10],\n [-6, -5, -1, 2, -10],\n [-2, -2, -9, 7, -8],\n [-9, 3, -7, 7, -8]]\nB =\n[[2, 9, -10, -10],\n [5, 3, -10, 6],\n [-4, -1, -1, 7],\n [-7, 1, -2, -8],\n [2, -9, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[9, -8, 5, 0],\n [3, 9, 1, -9],\n [-8, 7, 9, -3],\n [-6, 9, 0, -5],\n [-3, 6, -5, 9],\n [-8, -1, 6, -10]]\nB =\n[[-7, 5, -3, 9, 7],\n [-2, 10, -1, 3, -4],\n [1, -9, -6, 10, -5],\n [2, -3, -6, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 0, 9, 2],\n [0, 4, 4, -4],\n [-8, 7, 7, 1],\n [-1, 4, -7, 8]]\nB =\n[[9, -2, -8, 8, -2],\n [10, 10, -2, 2, 5],\n [-9, -4, -3, -6, -5],\n [1, -3, -3, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, -8, -4, -3, 8],\n [8, 10, -4, -10, -5, -10],\n [-1, -7, 1, 9, 5, 1],\n [6, 10, 4, -7, -10, -6],\n [-7, -1, -4, 4, -1, 4],\n [-9, 4, -6, 10, 7, 1]]\nB =\n[[-7, 0, -6, -2],\n [-10, -3, -10, -7],\n [5, -3, 6, -8],\n [-2, 5, -1, -3],\n [-3, -1, -9, -8],\n [8, 1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, -6, -10, 6, 2],\n [10, 5, 8, 6, -2, 2],\n [2, -9, 0, 4, 0, 2],\n [-1, 9, 4, -3, 2, -9]]\nB =\n[[-9, 4, -4, -4, 1],\n [7, 1, -2, 5, -2],\n [-10, 1, -5, 4, 1],\n [-5, 1, 4, -1, -8],\n [-5, -3, 10, 1, 5],\n [-10, 5, 2, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-6, 5, 10, -10, 7],\n [-7, 1, -7, 9, 0],\n [-5, 3, -5, -2, 10],\n [-3, -3, -10, 1, -4]]\nB =\n[[1, -10, -3, 7, -6],\n [7, 0, -10, 7, -2],\n [9, -6, 6, 9, -5],\n [1, -6, -6, 7, -8],\n [-7, -3, 10, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -7, 2, -9, -7, 9],\n [-5, -8, 8, -1, 7, 2],\n [7, -6, -1, -9, 1, -9],\n [-3, -7, 4, 3, 9, -9],\n [8, -10, -1, -2, 10, 10],\n [-9, -10, -8, 2, -8, -4]]\nB =\n[[-7, 9, 5, 2, 6, -4],\n [-10, -5, 10, 4, 2, 6],\n [-9, -9, 7, 0, 6, 10],\n [9, 8, 7, -6, -7, -10],\n [-1, -7, 6, -3, -10, 4],\n [-7, -5, -7, -2, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2980", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, -10, -8],\n [10, -6, 7, 0],\n [10, -6, 5, 8],\n [2, -5, 0, -10],\n [-8, -4, -6, -8],\n [-10, 3, -4, 1]]\nB =\n[[0, 4, 5, 6],\n [-5, 3, -7, 10],\n [-2, -9, -7, -6],\n [-9, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1031", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -7, 10, 5],\n [-8, -7, 3, -10],\n [9, 6, 5, 8],\n [7, 0, -7, 3]]\nB =\n[[5, 4, 7, 7],\n [6, 7, -6, 3],\n [-5, -5, -9, -3],\n [8, 7, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 8, 4, 7, -3, 9],\n [8, 7, 3, -4, 5, -8],\n [-2, -4, -7, 8, -5, -1],\n [-2, 3, -4, -8, -6, -10],\n [4, -8, 5, -6, -4, -5],\n [-4, 9, 10, 8, -4, -3]]\nB =\n[[8, 8, -5, 6],\n [-9, 4, 0, -8],\n [-8, 8, 10, -1],\n [-7, -6, 2, 4],\n [2, 3, 9, -9],\n [-7, 7, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[3, 4, -4, -5, -8],\n [0, -6, 8, 1, -5],\n [1, 8, 6, -9, -8],\n [3, 5, -3, 0, 4]]\nB =\n[[0, 6, 1, 10, -4, -10],\n [-6, 0, 3, 0, -4, -4],\n [1, -6, -2, -7, -2, 6],\n [8, 6, -8, 7, 2, 9],\n [-7, -1, 4, 9, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-2, -1, 0, 5],\n [-10, -6, 10, -4],\n [-10, -1, 5, 9],\n [2, -9, -6, 3],\n [2, 9, 0, 10]]\nB =\n[[5, -8, -4, -8, 5, 7],\n [-1, 4, -9, 4, -8, 8],\n [7, -10, -1, -10, 4, -8],\n [-5, -6, 1, 8, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -7, -8, -5, -6],\n [9, -3, 9, -5, 8, 7],\n [-6, 10, -4, 8, -10, -1],\n [-7, 4, -1, -4, 3, 2],\n [10, -7, -8, -1, 3, -9],\n [-4, 8, 0, 1, 6, 4]]\nB =\n[[7, 6, -7, 10, 8, -4],\n [-6, -2, -3, 6, -2, -3],\n [4, 5, 0, 8, 1, -4],\n [9, 2, -10, -6, 6, 10],\n [-7, 10, 8, 3, 8, -7],\n [7, 9, -10, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -1, -7, -8, 2],\n [-2, 10, -8, 8, 2],\n [-8, 5, 3, -6, -4],\n [5, 6, 2, 5, -5],\n [-2, -6, -10, -6, -5],\n [2, -5, -7, 8, -7]]\nB =\n[[2, -5, -2, -7, 3, 9],\n [-4, 0, 6, -6, 7, 2],\n [-9, -8, -9, -2, -10, 0],\n [-6, -1, 1, 10, 9, -8],\n [7, 3, 1, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2128", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -9, 5, 3, -6],\n [-1, -9, -10, -10, 1],\n [-8, -5, 8, 0, -7],\n [5, -10, -8, 4, -10]]\nB =\n[[-6, -8, -7, 3],\n [4, -7, 0, 4],\n [4, -2, 9, 10],\n [-2, -7, -4, -7],\n [0, 6, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -4, -2, 10],\n [-4, -8, 7, 5],\n [1, -3, -8, -7],\n [-6, -2, 2, -5],\n [4, -3, -10, 2],\n [5, 1, -9, 0]]\nB =\n[[-5, -8, -5, -2, -3],\n [0, -4, 8, -3, 8],\n [5, 10, -7, -4, -1],\n [-7, 7, -6, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 4, 9],\n [7, -8, 0, 1],\n [-8, 3, -8, -9],\n [-6, -5, 2, -2],\n [-8, 9, 2, 2],\n [1, -9, -4, -6]]\nB =\n[[2, 0, 9, -10],\n [-4, 3, -1, 2],\n [-1, 1, 6, 0],\n [1, -4, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1059", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 4, -10, -9, 3],\n [-9, -7, 9, -5, 3],\n [-8, 2, -5, -7, 3],\n [1, -8, 9, 6, 1],\n [10, -10, -4, 2, -4],\n [9, -1, 8, -4, 6]]\nB =\n[[0, -5, 0, 8],\n [-9, 7, -9, 2],\n [-9, -5, 4, -2],\n [-8, -3, -2, 3],\n [-1, 4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -1, -10, -1, 10, -5],\n [-4, 0, -9, -4, 1, 10],\n [4, 8, -7, -5, -5, 0],\n [-4, -8, 4, -8, -4, -9],\n [-5, 4, -10, 2, 5, 2]]\nB =\n[[-3, 0, 10, 6],\n [7, -10, -1, 10],\n [5, -2, -1, -4],\n [-3, -3, -10, -4],\n [7, -2, -10, -4],\n [6, 6, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -6, -6, 7],\n [-9, 1, 7, 5],\n [0, 5, -3, -1],\n [6, 1, -9, 4],\n [-2, -3, 7, -3]]\nB =\n[[8, -1, 9, -6, -8],\n [-5, 10, 8, -5, -4],\n [-6, 7, 10, -5, -4],\n [4, -2, -6, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[3, -7, 3, -5, -7, -5],\n [7, -4, -2, 10, -9, 4],\n [2, -2, 7, 7, 10, -6],\n [7, 6, 5, -5, 4, -8]]\nB =\n[[8, 9, -9, 3, -6, 9],\n [-7, 8, 7, 9, -8, 1],\n [9, -6, 2, 9, 8, 7],\n [0, -10, 1, 9, 3, -7],\n [-1, 5, 8, 2, -3, -4],\n [9, -8, 1, -3, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, 6, -8, 9, -2],\n [-8, 1, -6, 8, -7, 5],\n [-2, -7, -4, -2, 5, 2],\n [7, -6, -5, -6, -7, -6],\n [-7, -9, -5, -7, -4, 10],\n [8, -4, -3, -4, 5, -8]]\nB =\n[[-4, 7, -10, -7, -9],\n [-3, -2, 6, 1, 1],\n [3, -10, -2, 7, -4],\n [3, -8, -8, 1, -8],\n [6, -10, -2, 8, -2],\n [-1, -6, 0, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -3, -6, 8, -9, -3],\n [2, -1, 5, -1, -1, -7],\n [-5, -8, 0, -3, -3, -10],\n [-4, 4, -7, 4, 2, 10],\n [10, 9, -7, 6, 9, -4],\n [-10, 5, -8, 0, 8, 9]]\nB =\n[[6, -6, 0, -3, 6],\n [-6, 0, 7, 4, -10],\n [4, 6, 10, 8, 6],\n [-2, -6, 7, -1, 9],\n [-4, 0, 6, 7, 7],\n [-10, -7, 5, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2810", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[-3, -3, 3, 3, 9],\n [-7, -9, 9, -8, -6],\n [5, 5, -5, -1, 6],\n [6, 6, 6, 0, -1],\n [-8, -8, 3, 0, -8],\n [10, -7, -9, 1, 8]]\nB =\n[[4, 10, -1, 4, 9],\n [-4, -4, 2, -7, -3],\n [-6, 7, -5, 2, -3],\n [10, 9, -7, -6, 3],\n [4, -1, -1, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[6, 4, 4, -8, -3, -1],\n [10, 5, -9, 6, -9, 3],\n [-5, 6, 10, 9, 5, -4],\n [-1, 5, 5, -2, 2, 6],\n [3, 0, 0, 0, -4, -6]]\nB =\n[[-3, -6, 7, -6, -2, -3],\n [-8, 1, 9, 9, 8, -6],\n [5, -2, -6, 1, 2, -5],\n [-7, 3, 8, -1, 4, 0],\n [7, 0, 8, 8, -4, 7],\n [5, 1, -2, -2, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 4, 7, -6, 3],\n [-3, 5, 0, -2, -4],\n [-6, 3, -6, -10, -2],\n [10, 8, -8, 4, 3],\n [-4, 5, -8, -9, 3],\n [-7, 10, -2, -8, -7]]\nB =\n[[-7, -7, 6, 5, -2, 5],\n [9, -8, -2, 2, -9, -6],\n [-5, 4, 6, 5, -1, -3],\n [-10, 6, -7, 2, -8, -5],\n [-6, 3, 6, 6, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2294", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -2, -10, -6],\n [5, 3, 7, -9],\n [-6, 9, -2, 7],\n [-5, -1, 7, 3]]\nB =\n[[0, -2, -6, -1],\n [-4, 9, 4, 5],\n [1, 10, -3, 2],\n [7, 10, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-7, -7, 10, -1],\n [1, 4, -2, -3],\n [7, -6, 0, -7],\n [3, 3, 4, -5],\n [8, 1, 6, 1]]\nB =\n[[-2, 6, 2, 6],\n [7, -2, 1, 1],\n [2, -9, 4, 5],\n [9, -5, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 3, -6, 9, -4, 10],\n [-6, 8, -2, -6, -7, 8],\n [9, -4, 5, 7, 6, -3],\n [-3, -1, -2, 8, 3, 3],\n [-4, -7, 0, 7, 0, -10]]\nB =\n[[2, 1, 9, 3, -10],\n [7, -10, 3, 3, -9],\n [1, 7, -2, 4, 10],\n [-6, 8, -9, 0, -6],\n [6, 5, -5, -6, 2],\n [-8, -1, 3, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -4, 3, -7],\n [-3, -10, -3, -8],\n [-2, 3, 7, 8],\n [-3, 2, 8, -3],\n [8, -7, 1, 10],\n [-10, -1, 2, 9]]\nB =\n[[4, 0, -8, 1, -2],\n [-10, 2, 4, 6, 3],\n [-7, 1, -4, 6, 2],\n [-4, 3, -4, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1513", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -4, -5, 2],\n [10, -10, 10, -4],\n [8, 6, 7, -2],\n [-7, 3, -7, 1],\n [9, 4, -5, 7],\n [3, -6, 0, -1]]\nB =\n[[8, 1, -9, 6, 9],\n [-3, 5, -10, -3, 3],\n [-2, 6, 10, -6, 7],\n [7, -3, 7, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 1, 9, -4, -7],\n [-9, -5, -6, -8, 0],\n [-3, -5, 1, -6, 0],\n [6, 1, 2, 7, 10]]\nB =\n[[4, -5, -3, -9, 0, -6],\n [9, -4, -3, 8, -5, 1],\n [6, 3, -6, -2, 1, 6],\n [7, 1, -4, -4, 5, -4],\n [1, -1, 5, -6, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 10, -5, 0],\n [8, 8, -9, 5],\n [-1, -9, -10, 2],\n [3, -1, 10, 2],\n [-4, 1, 9, -3],\n [-1, -6, 7, 3]]\nB =\n[[1, -7, -1, 1, 10, -7],\n [1, 8, -4, -5, 1, -7],\n [5, 6, -6, 8, 5, 4],\n [8, 7, -8, -5, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -9, 5, -6, 1, 7],\n [6, 6, 4, 6, 8, -7],\n [-6, 4, -3, 8, 2, -10],\n [10, 9, -5, 10, 7, 4],\n [8, 2, -2, -1, 8, 0],\n [-4, -7, 8, -3, -4, 9]]\nB =\n[[0, 3, -4, 2, -5, 4],\n [-5, -2, -10, 7, 9, 8],\n [-5, 8, -4, 10, 8, 2],\n [5, 8, -2, 6, 2, 1],\n [-10, 7, -8, 8, 5, 8],\n [-2, -9, 7, 8, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2873", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, -3, -2, -1, -4],\n [10, 6, 1, 4, 9, -3],\n [8, 1, 9, 2, 2, 6],\n [-3, -6, 1, -1, 3, 4]]\nB =\n[[2, -6, 1, 4],\n [-10, -6, 0, 6],\n [-6, -8, -6, 6],\n [-6, 3, -10, 8],\n [-5, 3, -3, 8],\n [-5, 5, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[6, 9, 1, 0, -10, 10],\n [-9, 10, 0, -6, 4, 6],\n [4, -3, -4, 10, 10, 10],\n [5, -5, 6, 1, 10, 0]]\nB =\n[[0, -4, 5, 6, 3],\n [6, 1, -4, 0, -1],\n [9, 3, 5, 10, 6],\n [4, -6, 1, 6, 5],\n [2, -1, 4, -2, -6],\n [-3, 9, -6, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, -6, -3],\n [-9, 4, 2, -7],\n [-9, 10, -3, 6],\n [0, -9, -5, 9]]\nB =\n[[-5, -10, 9, 8, -2, 7],\n [9, 10, -5, -8, -5, 4],\n [-1, -2, 10, 7, -6, -3],\n [-8, -3, 7, -3, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -10, 6, 1, -4, 2],\n [10, 0, 5, 10, 5, -1],\n [-3, -1, 6, 4, 4, 3],\n [-4, 2, 0, 4, -1, -2],\n [-3, 2, 3, -10, -5, 7]]\nB =\n[[10, 2, 9, 3, -2, 8],\n [-4, -9, -7, 8, 8, 4],\n [6, -8, 1, 4, 10, -10],\n [-9, 7, -6, -4, -6, -10],\n [10, 3, 10, 6, -10, 10],\n [-2, 4, -3, 7, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1777", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 1, 0, -2],\n [-8, 7, 1, 0],\n [-9, -5, -8, 2],\n [-3, 3, -8, 3],\n [-8, 3, -3, 5],\n [-3, 5, 1, 7]]\nB =\n[[1, 10, 3, -1],\n [-9, -7, -6, -6],\n [7, 7, 5, 0],\n [2, -7, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1604", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, -6, -10, -8, -7],\n [7, 5, -8, -6, 0, 8],\n [7, 1, -9, -2, 6, 0],\n [7, -5, 5, 4, 2, -1],\n [7, -8, -2, 5, 1, -5]]\nB =\n[[4, 10, 0, 0, -1, 1],\n [7, 8, 4, -4, -7, 6],\n [0, 1, 0, 4, 7, 3],\n [-8, -10, 9, -5, -7, -8],\n [7, 5, -4, -2, 8, 10],\n [-7, 2, 5, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "381", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -6, -8, 7, 1, 5],\n [5, 10, 5, -9, 8, 7],\n [-4, -9, 7, -6, 2, -2],\n [4, 10, -2, -2, 8, 0],\n [-5, -4, 5, -5, -2, -4],\n [-6, -8, -3, -3, -1, 0]]\nB =\n[[-8, 0, 4, -3, 6, -9],\n [10, -3, -3, -5, 8, -3],\n [1, -8, 4, 1, -8, 8],\n [10, -8, -9, 5, 9, -3],\n [-1, 10, 0, -5, -6, -2],\n [10, 7, -3, -5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[6, 1, 3, 10, -7],\n [8, -1, -9, 8, -5],\n [8, -9, -2, 5, -1],\n [4, 8, 9, 8, -4]]\nB =\n[[-8, -10, -3, -6],\n [-9, 10, 8, 2],\n [1, 1, 3, -7],\n [-3, 9, 9, 4],\n [5, -2, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 8, 5, -1, 10],\n [-4, -9, -5, 4, 2, 4],\n [9, -5, 8, -1, -8, 7],\n [7, 2, 7, 1, 9, -7],\n [6, 10, 8, 0, 3, 3]]\nB =\n[[-7, -2, -6, 8, -9, -10],\n [-6, 0, 6, -8, 2, -4],\n [3, -7, 0, -1, -5, -5],\n [-3, 9, 8, -1, -9, 5],\n [-1, 7, -6, 3, -4, 1],\n [-7, 2, -9, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2217", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 9, 0],\n [-4, -3, 6, -3],\n [9, -8, -4, 9],\n [9, -8, 7, -6],\n [-1, -1, -1, 0],\n [2, 9, -9, -3]]\nB =\n[[8, -2, 7, -2],\n [0, -8, 5, 7],\n [-5, 3, 0, -1],\n [5, 4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, -4, -2],\n [-8, 9, -10, 1],\n [-7, -6, -6, -2],\n [8, 5, 4, -8]]\nB =\n[[-3, 4, -9, -10, -6],\n [7, -2, -7, -5, 5],\n [-3, -10, 2, 7, 9],\n [8, -4, -5, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, 1, -5, 9],\n [-2, -6, 2, 5, 1],\n [5, -5, 9, 3, -1],\n [-2, -3, 1, 10, 5]]\nB =\n[[-3, 5, 6, -9, -1],\n [-6, -9, -5, 0, 2],\n [-4, 1, 10, -10, 1],\n [-5, 4, 7, 10, 2],\n [-6, -9, -9, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-7, 6, -10, -4],\n [8, 3, -5, -9],\n [-1, 0, 10, -3],\n [3, -2, 0, -4],\n [-5, 10, 1, 5],\n [5, 1, -7, -1]]\nB =\n[[10, 8, -8, -7, -9, -9],\n [-7, 1, -1, -6, -7, 0],\n [10, 0, 5, -5, 7, 10],\n [-3, 2, -10, 10, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 10, -4, -1, 4],\n [5, -6, -6, 3, 0],\n [-1, -7, 6, -10, 7],\n [3, 8, -7, 9, 5],\n [3, -2, -3, 1, -5],\n [1, -8, 3, -2, -8]]\nB =\n[[10, -9, 8, 9, -10],\n [1, 0, 4, 6, 9],\n [-9, 2, 4, 4, -5],\n [4, -9, -1, 2, 8],\n [-10, 10, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2414", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, 3, 6],\n [3, 1, 6, 0],\n [5, -4, -9, 8],\n [-2, -9, 6, -10],\n [7, -8, 10, -9],\n [3, -5, 4, 7]]\nB =\n[[7, -8, -9, -4, -4, -10],\n [2, -9, -9, 6, -1, 4],\n [3, 9, 7, -10, 4, -8],\n [-2, 6, 8, -9, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 7, 1, -10, 9, 1],\n [-2, -8, -1, 7, 5, 6],\n [-5, -4, 3, -10, -8, -10],\n [-8, -9, -5, -7, -9, 1],\n [-3, -5, -5, 4, -10, -6],\n [-5, -10, 1, -7, 8, -7]]\nB =\n[[-9, -1, 8, -7],\n [-5, 2, 7, 5],\n [-8, -7, -5, 10],\n [6, 8, 3, 1],\n [-6, -10, 7, -4],\n [-4, 0, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, -2, -1],\n [5, 0, -8, 6],\n [8, -1, -6, 5],\n [5, 2, -4, 9]]\nB =\n[[7, 10, -4, 2, -2, -4],\n [-10, -4, 5, 2, -3, 6],\n [5, -10, -6, -9, 10, -6],\n [-8, -3, 4, 0, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1341", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[2, 5, 8, -1, 2],\n [3, -7, 10, -10, -10],\n [-3, -9, -10, 10, -3],\n [2, 5, 4, 5, -7]]\nB =\n[[8, -6, 8, 1, 1, 9],\n [-7, -2, -2, 7, -9, -3],\n [3, 4, 2, 6, 5, 4],\n [9, 7, -10, -3, -9, -1],\n [5, 5, 6, -9, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -10, 10, 0],\n [10, -2, -2, -3],\n [10, 4, -4, -10],\n [6, -2, -10, -1]]\nB =\n[[-5, 10, 6, 3, -1],\n [-6, -6, -8, 9, -10],\n [2, 9, 7, 8, 10],\n [-8, 2, -3, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -8, -9, -3],\n [6, 2, 0, 0],\n [-4, -10, -4, -9],\n [1, -9, 5, 5],\n [9, 10, 3, 9]]\nB =\n[[2, 10, 1, 10, -9],\n [-7, -10, -7, 10, -6],\n [-2, -2, 0, -3, -8],\n [-1, -8, 8, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1839", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -9, 3, 3, -1, -10],\n [6, 9, 8, 7, 8, 1],\n [5, -5, -8, -1, -7, -10],\n [2, -8, -9, 7, 5, -4]]\nB =\n[[-3, 8, 8, 8, -2],\n [-5, 9, 4, -1, 9],\n [-10, 0, -7, 2, 6],\n [6, -7, 10, -7, 10],\n [9, 3, 9, 7, 6],\n [8, 9, -5, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -10, -9, 2, 10],\n [5, 7, -7, -10, 5],\n [9, 7, 5, 0, -8],\n [-8, 3, -1, 10, -7]]\nB =\n[[3, -4, -3, 4, -5, -10],\n [-10, 0, 3, 7, -8, -1],\n [-6, 1, 1, -1, -1, 10],\n [-9, 4, -3, -7, 9, 7],\n [-9, 2, -5, -6, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[-6, -8, 4, 9, 1],\n [-10, -9, 10, -5, 4],\n [4, 9, -8, 5, -7],\n [10, -4, 2, -7, 7],\n [5, -5, -2, -7, -6]]\nB =\n[[1, -1, -3, -9],\n [10, -7, 8, 7],\n [-3, -6, -2, -6],\n [5, -7, 7, -4],\n [-9, 6, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -5, 4, 8],\n [-4, 3, 4, -9],\n [3, -6, 0, -1],\n [-2, 0, -5, -8],\n [-6, -4, -4, -10]]\nB =\n[[5, 9, 3, 0, 5],\n [-8, 9, -2, 10, -7],\n [9, -10, 5, -10, 2],\n [-9, 3, -1, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 0, 0, -5, -10, -2],\n [3, -4, 9, 0, 5, 8],\n [4, -4, 0, 1, -6, -10],\n [6, 10, 8, 1, -9, -7]]\nB =\n[[0, -8, 7, -6],\n [3, -5, 6, -1],\n [5, 8, -7, 7],\n [-1, -10, 9, 10],\n [8, 5, 8, -10],\n [8, -3, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 2, -9, 2],\n [9, 2, -10, 3],\n [-2, -3, 6, 0],\n [0, -10, -3, 3]]\nB =\n[[2, 5, 8, -7, -3, 1],\n [5, 3, 6, -4, -10, 6],\n [-7, -9, -1, 7, 4, -9],\n [7, 7, -7, -3, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1948", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -9, 7, 6, -1],\n [-2, 7, 0, 7, 5],\n [-7, 0, -3, 1, 1],\n [8, 4, -3, 1, 5],\n [10, -3, -1, 4, -8],\n [-6, 6, 4, 9, -9]]\nB =\n[[9, 0, 8, -5, 9, -1],\n [3, 7, -5, -4, 6, 9],\n [-1, 4, 0, 8, -6, 2],\n [2, 6, 10, 6, 7, 6],\n [5, -10, -3, 1, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 6, -5, -5, 0, -5],\n [3, -8, 3, 8, -10, -3],\n [-5, 4, 5, 5, -10, -10],\n [3, -9, 9, 6, -3, 1],\n [-3, 4, 0, 4, -2, -5],\n [-1, -2, 3, -9, 7, 4]]\nB =\n[[2, -4, -9, 7],\n [-1, -6, -10, -9],\n [2, -3, -5, 0],\n [7, 10, -5, -10],\n [10, 10, -6, 10],\n [-2, -8, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -10, 7, 5, 1],\n [8, -3, 10, -6, -5],\n [5, 2, 3, -4, 0],\n [-5, 9, 1, -7, 9],\n [2, -5, 5, 3, 3]]\nB =\n[[-10, -10, 7, -9, 3, -8],\n [4, -10, -9, -8, -4, 10],\n [-2, 1, -9, 10, 1, 1],\n [5, -4, 10, 3, 2, -3],\n [10, 5, 5, 6, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2282", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-3, 3, -10, 0, 2, 6],\n [-3, 5, 2, -2, -4, 5],\n [-5, -8, -1, 4, -9, -3],\n [-3, -10, -4, 8, -5, 3]]\nB =\n[[-8, 2, -6, -7, 7, -6],\n [9, -5, 9, -9, 0, -9],\n [5, 0, -2, -5, -3, -3],\n [0, -8, -3, -8, 8, 2],\n [9, 9, 6, -1, 1, -8],\n [-3, 0, 5, 7, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -8, 7, 2, -3, -4],\n [2, 7, 3, 3, -2, 2],\n [-8, -6, 6, -8, 1, -9],\n [-6, -3, -7, 0, 10, 1],\n [-10, 10, -2, -3, -5, 8],\n [-2, 6, 4, -3, 3, -1]]\nB =\n[[-2, 0, -8, -3],\n [0, 1, -6, 10],\n [-3, -2, 0, 7],\n [-1, -7, 10, -10],\n [-6, 0, -1, 0],\n [-9, 3, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 1, -10, -3],\n [-7, -10, 7, 3, -6],\n [8, 4, 9, -10, 1],\n [0, -10, 4, -2, -10],\n [2, 3, 0, 4, 7]]\nB =\n[[-7, -7, 0, -5, 6, 6],\n [6, 3, 6, -5, 4, 9],\n [7, -1, -2, -4, 5, -5],\n [-6, 4, 0, 8, -6, 5],\n [9, 6, 8, 7, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-518", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 5, 0, 0, 4],\n [-4, -8, 8, 4, -8],\n [-6, 10, -4, -4, 5],\n [-3, 4, 6, 2, 3]]\nB =\n[[-10, 4, 0, 7, 10],\n [4, 10, -1, 8, -5],\n [5, -3, -1, 2, 3],\n [7, 9, 10, 1, -7],\n [-2, 2, 7, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, 8, -7],\n [-2, -9, -10, 6],\n [-5, -7, -6, -5],\n [5, -7, -10, -2]]\nB =\n[[-6, -8, 7, 2, -9],\n [8, -7, -5, 0, 7],\n [5, 6, 9, 9, -9],\n [-10, -3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, 9, -6, 1, 6],\n [7, 1, 0, 10, 4, 3],\n [10, 6, 10, 8, -3, -9],\n [-2, -4, -9, -5, -5, -6],\n [-4, 9, -6, 4, 4, -4],\n [3, 8, 3, 3, 2, -2]]\nB =\n[[10, 5, -7, 1],\n [5, 2, 7, -4],\n [5, 6, -6, -1],\n [-5, -6, -5, -1],\n [10, -7, 4, 9],\n [4, 7, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 4, 0, -5],\n [9, -10, 4, -1],\n [9, 1, -5, -6],\n [-8, 5, -2, -6],\n [9, -3, -5, -1]]\nB =\n[[0, 9, 1, -2, 2],\n [10, -8, -7, 1, -2],\n [-3, 1, -5, 3, 10],\n [2, 10, -1, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-10, 9, 1, -6],\n [-4, -1, 1, -9],\n [-4, 10, 10, 8],\n [-2, -8, 0, 6],\n [-9, 2, 3, 5]]\nB =\n[[10, -6, 9, 1, 9],\n [-1, 3, -1, -4, -7],\n [0, 5, -6, 10, 4],\n [-7, 9, -1, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 2, -8, 10, -9, -6],\n [6, 7, -3, 6, 9, 10],\n [10, 2, 8, 6, -4, -6],\n [8, 8, -1, -2, -2, 6],\n [9, -3, 4, -1, 1, 3]]\nB =\n[[9, -6, 0, -8, 6],\n [1, 4, 2, 6, 0],\n [4, 7, -6, 4, -10],\n [8, -1, 1, 1, -8],\n [-6, 7, -8, 1, 8],\n [10, 4, 0, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -9, -5, -3],\n [6, 2, -1, -8],\n [1, 3, -9, -8],\n [-1, 4, -5, -6]]\nB =\n[[-4, -3, -1, 2],\n [5, -8, -5, -4],\n [4, 5, -1, 9],\n [7, 4, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-3, -2, 2, 10, 10, -4],\n [-8, -10, 8, 3, 10, -9],\n [-7, 7, 5, -3, 7, -8],\n [-9, 5, 6, 3, 1, 3],\n [2, 6, -3, 10, 6, 2],\n [4, -2, 5, -3, -2, 0]]\nB =\n[[7, -9, -7, -4, -9, 3],\n [-5, 5, -2, 6, 0, 2],\n [2, -8, -7, 0, -2, 4],\n [-6, 2, -10, 5, 2, 8],\n [-10, -5, 8, -3, 0, -8],\n [4, 4, -6, 0, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -4, -3, -3, 3],\n [-9, 0, -9, -3, -1],\n [-9, 4, 3, -4, -10],\n [-1, 8, 9, 1, 4],\n [6, 7, 3, 2, -4]]\nB =\n[[-2, -2, -6, -8, -7],\n [5, 2, -4, 0, 9],\n [5, -7, 9, -10, -8],\n [0, -3, 8, 10, 8],\n [8, -4, 10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, -5, -7, -9],\n [-10, 0, 5, 7, 10],\n [0, 7, 3, 6, 2],\n [-9, 8, 7, -4, 6],\n [-10, -10, 2, 9, 1]]\nB =\n[[-8, 8, 9, -4],\n [10, 9, -10, -10],\n [-8, -2, -9, 8],\n [1, -9, -8, 6],\n [-1, 6, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-408", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -8, 5, 10, 8, -8],\n [-6, 9, -3, 0, -7, -2],\n [-9, -4, -1, 9, -7, 4],\n [7, -7, -3, -1, 2, -7],\n [2, 9, -8, -5, -3, 1],\n [-5, 2, -5, -3, -2, -2]]\nB =\n[[-3, -3, -2, 0, -7],\n [-9, 9, -5, -2, 7],\n [0, -3, 9, -10, 10],\n [-8, -6, 10, -9, 10],\n [3, -8, 8, -7, -10],\n [0, -2, 0, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -8, 5, -7, 0, 3],\n [10, 0, 9, 5, -5, 10],\n [6, 10, 0, -9, -6, -7],\n [-2, -5, -3, -10, -9, -2],\n [9, 8, 9, 0, 4, -7]]\nB =\n[[-2, 0, -1, 9],\n [6, 0, 2, -1],\n [7, 1, 0, -4],\n [10, 3, 2, 0],\n [-7, -4, -5, -8],\n [4, -5, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -9, 9, -9, 4],\n [-9, 2, 8, 9, 5],\n [-7, -2, 1, 7, -1],\n [10, -9, -3, 7, 1],\n [-8, -1, 0, -3, 0],\n [-1, 10, 10, 9, 9]]\nB =\n[[-9, -4, 8, 4],\n [2, 10, -8, 7],\n [6, -2, -9, -7],\n [8, -2, -8, 0],\n [6, -2, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2113", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -8, 8, 5],\n [-1, -9, -5, 1],\n [8, -7, 10, -3],\n [-2, 9, 9, -4],\n [-1, 8, 3, -7],\n [4, -1, -8, -4]]\nB =\n[[6, 10, 0, -7, -5],\n [0, 5, -4, 6, 9],\n [-3, -1, 1, -5, 0],\n [1, -9, 2, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1576", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-9, 1, 5, -7, 1],\n [-10, -5, -1, 8, 7],\n [-4, -9, -6, -6, -3],\n [-10, -3, -2, -6, 5]]\nB =\n[[7, -3, 6, 1, -6],\n [3, -2, 6, 10, -8],\n [4, -7, 2, 9, -10],\n [10, 9, 3, -9, -8],\n [8, 7, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -2, -1, 1],\n [-1, 9, -1, -9],\n [-3, -5, -6, -6],\n [9, 4, -4, -9],\n [0, -5, 9, 5]]\nB =\n[[10, 9, -10, -1],\n [-2, -9, 5, 1],\n [-10, -5, -5, 7],\n [9, 8, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 2, 4, -1],\n [-10, 2, 7, 4],\n [1, 5, -10, 0],\n [-6, -7, -10, -5],\n [1, 2, 10, 8],\n [-2, -9, 6, -7]]\nB =\n[[3, 0, -5, 2, -1, 2],\n [1, -2, -9, 0, -8, -5],\n [-8, 9, 7, 10, 3, -10],\n [1, 7, -3, 2, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 5, -4, 7, -4],\n [3, 2, 5, -1, -8],\n [8, -8, 4, -5, -3],\n [-9, 2, 4, 8, 7]]\nB =\n[[-5, -2, 6, -6, -2, -4],\n [8, -3, 7, -7, 2, 5],\n [-2, -7, -4, 5, 6, -5],\n [4, -10, -7, -3, -3, -9],\n [8, -10, -1, 9, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1519", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, 8, -4],\n [4, 0, -8, 4],\n [-3, -3, -3, 1],\n [1, -4, -2, 3],\n [1, 0, -4, 5]]\nB =\n[[7, 3, 6, 3, -1],\n [-6, 3, 8, -8, 7],\n [-6, -8, -3, -3, 6],\n [3, -7, 6, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[3, -7, -5, -10],\n [0, -4, 7, -8],\n [0, 10, 10, -9],\n [4, 7, -6, 10]]\nB =\n[[-2, 2, -10, 1, -1],\n [-8, 7, -4, -7, 3],\n [-2, 2, 10, 5, -6],\n [7, 6, 6, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -8, 9, 7, 10],\n [5, 0, -8, -8, -5, 7],\n [4, 4, -6, -9, -2, -10],\n [-7, 0, -2, -4, 5, -9]]\nB =\n[[5, 9, -5, -5, -3],\n [4, 2, -8, 8, -3],\n [9, 7, -1, 9, -10],\n [10, -7, -4, 10, -6],\n [6, -9, 5, -3, 9],\n [4, -4, 6, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-353", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 8, -6, 5, 1, -7],\n [0, 1, 9, 9, -1, 10],\n [5, -2, -2, 10, 10, -1],\n [-10, 5, -2, -5, -6, -10],\n [0, -4, 6, 9, -4, -5]]\nB =\n[[-8, -5, 1, -9, -9],\n [-6, 10, 3, -5, -8],\n [10, 6, -9, -4, 9],\n [-6, 5, -10, -9, 0],\n [10, -5, 2, -7, -3],\n [-4, 9, 9, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -7, -10, -6, 3],\n [10, 6, -8, 1, -2],\n [-10, 9, 5, -3, 8],\n [-10, 3, 4, 0, 10],\n [4, -9, 4, -5, -10],\n [-5, -10, -6, 6, 0]]\nB =\n[[2, -5, 8, -1, -6],\n [-7, -3, 10, -8, -2],\n [-2, 4, 4, 2, -5],\n [7, 10, -9, -6, 10],\n [-9, 9, -8, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[3, 9, -3, -6, 2],\n [-8, 8, -4, 2, 5],\n [-8, 5, 4, 5, 9],\n [-3, -2, -1, 2, 7],\n [-3, -2, 2, 4, 2],\n [10, -4, 2, -1, 6]]\nB =\n[[-5, 9, -8, -9],\n [-10, -4, -3, -5],\n [-9, -2, 7, 1],\n [3, 5, 0, 9],\n [8, 10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, -10, -5],\n [-2, 0, 6, -2],\n [10, 7, -8, 0],\n [-4, 5, 9, -3]]\nB =\n[[-3, 2, 0, 5, -5],\n [1, 6, -10, 1, -6],\n [1, 7, 5, 3, -2],\n [5, 3, -5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -10, 8, -3, -2],\n [4, 8, -10, 7, 5, 2],\n [-7, -7, 9, -1, 3, -5],\n [-8, 2, -7, -3, 9, 1]]\nB =\n[[-3, -4, -1, 9, -1, 5],\n [10, -5, 2, 2, -9, -3],\n [-6, 0, 5, 8, -1, 8],\n [-5, -4, -8, 4, 8, -9],\n [-7, 6, 4, -5, -10, 7],\n [-5, 6, -8, -10, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-463", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, -6, 4, -7, -4],\n [1, -5, 5, 2, -9],\n [-2, -6, 10, 5, -4],\n [-10, -8, -2, 2, 6],\n [10, -8, -2, 7, 1],\n [9, 9, -5, 4, -4]]\nB =\n[[7, -1, 3, -10, -1],\n [7, 4, -10, -10, 10],\n [5, -10, 1, -4, 3],\n [0, 4, 10, 6, 0],\n [-4, 9, 6, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -1, 0],\n [1, 1, 10, -8],\n [0, 5, 0, 10],\n [10, -7, 10, 9]]\nB =\n[[-10, 2, -3, 1],\n [-7, 5, 10, 4],\n [-4, 10, 1, -9],\n [-2, 0, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -7, -3, -2],\n [-2, 6, -4, 9],\n [7, 10, -10, 8],\n [-6, 5, -2, -8]]\nB =\n[[-3, -3, 5, -6, 6, 7],\n [-7, 8, -4, -6, -10, -7],\n [-1, 3, -6, -10, -9, 9],\n [8, -2, -7, 1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 0, 6, 5, -3, -6],\n [4, 0, -8, -4, 6, -4],\n [-10, 2, -10, 1, -3, -5],\n [-1, 9, -3, -5, 6, -7],\n [-10, 3, 1, -4, 3, -10],\n [-9, -10, -6, -2, -7, 10]]\nB =\n[[-7, 2, -3, -8],\n [-5, -6, -10, 4],\n [-10, -9, -7, -10],\n [-4, -5, 5, 3],\n [10, -4, 2, 7],\n [-4, -6, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1327", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 5, 5, -3],\n [2, -6, 0, 10],\n [8, 0, -1, 3],\n [-8, -2, 5, -3]]\nB =\n[[-3, -9, 10, -2],\n [10, -3, 8, 10],\n [2, 9, -8, -3],\n [-8, -7, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -3, 8, -2, 10],\n [-9, 9, 2, 8, -7],\n [10, -4, -9, 4, 6],\n [-5, 5, 9, 9, 6],\n [6, -10, -1, -10, 5]]\nB =\n[[2, 0, 0, -7, -9],\n [-1, 2, 1, -10, 0],\n [-8, 4, -10, 6, -6],\n [-7, -3, 9, -10, 10],\n [10, -3, -3, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -1, 0, -5, 8, 0],\n [-4, 4, -5, -1, -10, 8],\n [9, 0, -5, -2, -1, -3],\n [-9, -1, 7, 4, -8, 10],\n [-7, 9, -10, -5, 5, 6]]\nB =\n[[-10, 9, 0, 1, 7, 1],\n [-8, 1, 6, 8, -10, 5],\n [-1, -7, -7, 8, 4, -10],\n [-7, 9, 2, 9, -4, -5],\n [-4, 3, 6, 2, 2, 10],\n [-8, 5, -3, -8, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-441", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 6, -3, -3, -3, 5],\n [-4, -1, 0, 7, 9, 7],\n [-2, -6, -9, 3, -4, 4],\n [7, -3, -6, 9, 6, 9],\n [1, -4, 2, -7, 1, -2],\n [0, -8, 4, 10, 1, -6]]\nB =\n[[6, -3, 1, -8],\n [7, -1, -9, -3],\n [-1, 8, 6, 2],\n [10, -1, 4, -7],\n [-2, -5, -5, -9],\n [10, 2, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1442", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 10, -2, 7, 10, 7],\n [0, 9, 7, 6, -5, -7],\n [-1, 10, -10, 10, 7, 3],\n [-8, -3, 0, -3, 0, 2]]\nB =\n[[-7, 2, -5, -2, 4, -3],\n [1, 1, 10, 7, 10, 7],\n [5, -5, 10, 0, 6, -4],\n [0, 7, 9, 1, 4, -10],\n [7, 0, 0, -4, -7, -3],\n [2, -3, 10, 5, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1588", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, 6, -6, 0, -8],\n [-5, -10, 10, -6, 7, -10],\n [-10, 4, -4, -2, -7, 9],\n [-2, 4, -3, -1, -3, -8],\n [2, 4, -5, -2, -6, -2],\n [-3, 6, 0, -5, 5, -10]]\nB =\n[[-9, 10, 9, -9, -6, -7],\n [-4, 2, -9, 7, -2, 3],\n [-5, 2, -3, -9, 6, 4],\n [-5, 10, -9, 8, -9, -3],\n [6, -10, 2, -7, 4, 10],\n [-10, -5, -4, 10, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 6, -2],\n [-6, -7, -3, -2, 4],\n [6, -9, 3, 1, 5],\n [0, 6, 5, 4, 3],\n [3, 3, 0, -7, 7],\n [-9, 6, -9, -6, 8]]\nB =\n[[8, -10, 0, 0],\n [6, -3, -2, 3],\n [8, -1, 8, 3],\n [-8, -2, 5, 5],\n [8, -1, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, -10, -5],\n [1, -9, 8, -7],\n [-8, 10, -8, 1],\n [1, -8, 0, 1]]\nB =\n[[-5, 0, 6, 3, 0],\n [2, 7, 7, 5, 9],\n [-5, -6, 8, 9, 3],\n [8, -1, 0, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -1, -8, 6, 2, 0],\n [-3, -9, -7, 1, 3, 9],\n [3, 4, -2, -8, -3, 5],\n [-9, -4, 8, -10, -2, -8],\n [0, -5, -3, -10, 7, 1],\n [-9, 6, -2, -9, -1, -6]]\nB =\n[[2, -10, -9, 1, 4],\n [5, -4, -6, 8, -6],\n [-8, 0, -4, -9, 10],\n [-6, -1, -8, 0, 1],\n [-8, -1, -4, 9, 5],\n [10, 5, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "847", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 5, -5, -8],\n [-3, -8, 5, 1, -5],\n [10, 1, 10, 4, -10],\n [-9, -2, -8, -9, 1],\n [4, 5, 3, -3, 7]]\nB =\n[[7, 2, 8, -7, 5, 9],\n [0, -1, -1, 7, 1, -10],\n [8, -4, 0, 2, -3, 0],\n [5, -4, 6, -2, 2, 1],\n [-7, -9, -6, 9, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1945", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -5, -9, 5, -9],\n [6, -10, 9, -7, 9],\n [-1, 9, -8, -5, 0],\n [-7, 1, 8, 0, -3]]\nB =\n[[-8, 3, -1, 5],\n [-8, -9, 1, 7],\n [-6, 8, 4, -6],\n [5, -8, 6, 10],\n [-1, 7, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 3, -7],\n [2, 3, -6, 0],\n [3, -4, 0, -5],\n [0, 1, 10, -8],\n [3, 6, -7, 6]]\nB =\n[[-2, 2, -9, 1, -10],\n [6, -4, 1, -2, 8],\n [1, -8, 2, -2, -10],\n [-8, -8, 10, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[8, -4, 5, -10, -4, 5],\n [2, -2, -7, 2, 9, 10],\n [-9, 7, 7, -8, 2, 4],\n [8, 9, 9, -3, 5, -2],\n [10, -3, 1, -7, 5, 4]]\nB =\n[[5, -1, -4, 1],\n [-3, -10, 6, 6],\n [-9, -3, -10, -7],\n [-9, 2, 7, -3],\n [0, 6, 1, 2],\n [-10, -5, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 3, -2, -9, -3],\n [2, 8, -5, 0, 2],\n [6, 8, 0, -6, 0],\n [4, 8, 1, -9, -7],\n [-1, 3, 7, -4, 5]]\nB =\n[[-1, 6, -10, 0, 1],\n [-9, 9, -9, -8, -1],\n [-10, -5, -8, -5, 9],\n [-3, 8, -7, 7, -5],\n [-2, 5, 7, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-658", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 0, -3, 7, 3],\n [0, 10, 6, -6, -5],\n [1, 3, 8, 8, 4],\n [-7, 8, 7, 9, 9]]\nB =\n[[-4, -4, 4, 7, -8],\n [-5, 6, -1, 10, 1],\n [6, 6, 7, 9, 8],\n [-5, -9, -3, 7, 10],\n [4, 0, 7, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1418", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, 4, -1, -2],\n [0, 1, -2, -3, -6],\n [9, 0, -2, 2, -4],\n [3, 4, 3, -1, -6],\n [-1, 7, -8, 1, 1]]\nB =\n[[-4, 1, -6, -7, -7],\n [-6, -8, 10, 5, -9],\n [-1, -5, 6, 1, 1],\n [0, 9, 8, 8, 4],\n [7, 3, -2, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, 9, -6, -10, 0],\n [5, 8, -4, -6, 3, -6],\n [10, -2, -2, -10, 4, -3],\n [3, 9, 5, -8, -8, -7],\n [1, -6, 2, 8, -2, -7],\n [-8, -7, 3, -10, 5, 6]]\nB =\n[[6, -9, 1, -6, -6, -2],\n [-10, 8, -3, -2, -7, -5],\n [5, -2, 5, 4, -6, 5],\n [-6, -6, -3, -6, 0, 1],\n [-2, 9, 2, -4, -9, -10],\n [-8, -3, -3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, 9, -4],\n [9, 0, -1, -8],\n [-4, -2, 4, 1],\n [0, -9, -10, 1],\n [0, 2, -2, -2],\n [8, 9, -3, 7]]\nB =\n[[-2, -10, 1, 4],\n [-6, 0, 7, 6],\n [8, 1, -6, 5],\n [5, -8, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-4, 9, -9, 9, 9],\n [0, -7, -6, -10, 9],\n [-1, 2, -1, -9, -5],\n [3, -8, 3, -2, -4]]\nB =\n[[10, 2, 3, 5],\n [1, -9, 4, 5],\n [-5, 3, 8, 2],\n [2, 9, -10, 3],\n [-1, 10, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -7, 0],\n [1, 9, 6, -5],\n [4, -4, 4, 1],\n [1, 0, 2, -10]]\nB =\n[[-6, 5, -5, 9, 1, 4],\n [10, -2, -1, -5, -8, 3],\n [8, -6, -5, 10, -8, 5],\n [0, 5, 1, 3, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1247", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -1, -3, -2],\n [7, 1, 6, 9],\n [2, 7, -10, 0],\n [4, -10, -9, 7]]\nB =\n[[-8, 5, -9, -3, -8],\n [9, 0, 10, -6, 5],\n [-8, -7, 10, -10, -1],\n [10, 9, 1, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 3, -3, 2, -8],\n [1, -5, 6, -4, 4],\n [2, 3, -5, 1, -1],\n [8, 9, 3, -4, 3]]\nB =\n[[-9, -1, -7, 8, 3, -5],\n [9, -6, -6, -1, 5, -1],\n [3, -10, 3, -7, 6, -9],\n [-10, -1, -8, 9, -9, -10],\n [-4, 5, -10, 9, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "970", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[5, 8, 9, -7, -8],\n [-8, 1, 4, -5, -4],\n [-8, 1, -2, 2, -8],\n [6, -6, 8, 0, 3],\n [-1, 5, -10, 4, -9],\n [-5, 10, -10, -7, 8]]\nB =\n[[-9, 4, 4, 4, 9, -5],\n [-5, -7, 8, 7, -7, -3],\n [9, -5, -4, -9, -9, -2],\n [0, -8, 10, -4, 1, 5],\n [-1, -5, 7, 7, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 0, 10, -10],\n [5, -7, 0, 4],\n [1, 3, 1, -4],\n [3, 6, 8, 2],\n [-8, -6, -3, 0],\n [5, 7, -5, 4]]\nB =\n[[-7, 4, -9, -10, 8],\n [-4, 6, -4, 9, -6],\n [-4, -1, 1, 6, 8],\n [3, 5, 3, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -5, -7, 6, -7],\n [4, 7, -6, -9, -10],\n [-3, 0, 5, 6, 10],\n [-7, -6, 5, -7, -8],\n [8, -5, 6, 8, 10],\n [-8, -9, 10, 1, -5]]\nB =\n[[1, 2, 3, 0],\n [4, 7, 6, -9],\n [3, -6, 1, -3],\n [-7, -6, 0, -5],\n [-7, 0, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1787", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -1, 0, 8],\n [0, -6, 1, 10],\n [4, -8, -1, 10],\n [6, 1, 8, -1],\n [6, -2, 4, -7]]\nB =\n[[2, -2, 10, -1],\n [-9, 9, -5, -9],\n [9, 4, 0, -5],\n [-1, -2, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "589", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 7, 0, -2, 5, 1],\n [3, -3, -3, -10, 2, 10],\n [-7, 4, -2, 10, 3, 7],\n [3, -1, 3, -8, 10, 0],\n [-10, 3, 0, 10, 0, 10],\n [8, 2, -3, 3, 0, 4]]\nB =\n[[-9, 6, -6, 7],\n [-5, -8, -4, 2],\n [-9, -7, 6, 0],\n [3, -7, -8, -5],\n [5, 2, -3, 4],\n [5, 10, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "925", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 5, 8, 0, 3],\n [-8, 10, -2, -7, 7],\n [9, -8, -1, -5, 2],\n [8, -8, -5, 6, 6],\n [9, 6, 1, 0, -5],\n [0, -5, -4, -2, 3]]\nB =\n[[1, -6, -10, 0, -10, 1],\n [8, -6, -1, 8, 3, 5],\n [8, 4, 7, -1, -4, -3],\n [5, -5, -3, 4, -10, 3],\n [2, 6, 2, 4, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -1, 1, -5],\n [-1, 7, 10, 0],\n [-2, 4, 10, 1],\n [-3, -7, -7, 8],\n [4, 4, 9, -4],\n [8, -3, -10, 9]]\nB =\n[[10, -3, 6, -4, -2],\n [-3, 5, -6, 6, 5],\n [-8, 2, 9, -6, 0],\n [7, 0, 1, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-9, -3, 10, -8, 6, -9],\n [6, -6, -5, 3, 4, -10],\n [1, -4, -3, 2, 7, -8],\n [8, 10, -2, 7, 4, 5],\n [-4, -10, 4, 10, 7, 3],\n [-7, 8, 6, -7, -2, 4]]\nB =\n[[-3, -2, -7, 6],\n [3, 1, -9, 9],\n [-6, 2, 9, -3],\n [-7, 3, -5, -2],\n [8, -2, -8, -6],\n [7, -8, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 5, 2, -6, -5],\n [2, -6, 5, 7, 7],\n [6, -9, 8, 6, -8],\n [-10, -10, 0, -7, 2],\n [-6, -10, 1, 10, 5],\n [-2, -4, -7, -6, 4]]\nB =\n[[-5, -6, -7, -1],\n [5, 6, -4, 2],\n [0, 7, 2, -8],\n [6, -8, 0, 1],\n [-1, 5, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[5, -2, -2, 0],\n [6, -9, 9, 10],\n [5, 6, -3, 2],\n [9, 6, -9, -8],\n [-7, -2, 4, -5],\n [-9, -8, -2, 5]]\nB =\n[[0, 8, 5, -6, -10],\n [-4, -10, -2, -7, 2],\n [5, -7, -1, 9, -2],\n [2, -7, -8, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, 6, -6, 3],\n [5, -2, -6, -4, 2],\n [1, -4, 10, 9, 9],\n [-8, 8, 4, -5, 5],\n [6, -4, 9, 5, -10]]\nB =\n[[6, -2, -2, -7],\n [2, -7, -1, -10],\n [-3, -3, 3, 1],\n [6, 6, -1, 7],\n [6, -1, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-3, 4, -4, 4],\n [-6, -4, -9, 8],\n [0, 4, 6, -7],\n [-5, 10, -7, -1],\n [-2, -6, -3, 3]]\nB =\n[[7, -7, -6, -5, 7, 10],\n [-3, -4, -4, -9, -6, 5],\n [7, -9, 10, 6, -8, 0],\n [4, 3, -5, 6, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -1, 3, -6, 7, -9],\n [-4, -6, 5, -8, -1, -10],\n [-3, 9, 7, -5, 4, -2],\n [-2, 10, -5, 10, 1, 3]]\nB =\n[[-7, 9, 2, 6, -1, 4],\n [3, -1, 3, -2, -4, 3],\n [-2, 5, 2, 5, 8, -8],\n [4, 6, 0, 4, -7, -6],\n [5, -2, 10, 10, 6, -7],\n [5, -9, 5, 10, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1201", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[6, -9, -5, -8, -3, 7],\n [1, 3, 0, -8, -7, 2],\n [-4, 8, 4, 7, 1, -3],\n [-6, 0, -1, -10, 4, 2],\n [-2, -3, 8, -9, -8, -1]]\nB =\n[[-4, -10, -10, -1, -10],\n [-6, 1, -6, 0, -2],\n [-9, -6, 5, 4, -4],\n [3, -6, -1, 2, 2],\n [-5, 4, -3, 5, -5],\n [-2, -5, -9, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, -10, 6, 7],\n [1, 0, -4, 9, 4],\n [-1, -7, -8, 8, 8],\n [-3, -4, -3, -4, -7],\n [-4, -7, -2, -10, -5],\n [-6, 7, 2, 6, 2]]\nB =\n[[-6, 0, 2, 9],\n [7, -8, 2, 8],\n [-5, -2, -8, 8],\n [2, -1, 5, 6],\n [-10, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 4, 7, 0, 9],\n [8, -7, 8, -3, 0],\n [0, 9, -2, -4, -6],\n [5, -6, -6, -10, -4],\n [10, 4, 2, 3, -9],\n [-7, -4, 0, 6, 1]]\nB =\n[[-6, -9, 10, 5, -6],\n [-5, 3, 8, 4, 10],\n [1, 7, 9, -1, -1],\n [-8, -2, -8, -2, 7],\n [-10, -1, 3, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1873", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -8, -8, -10],\n [-4, 6, 1, -4],\n [-7, -4, 8, 7],\n [4, -4, -7, 9],\n [-4, -2, 7, -8]]\nB =\n[[9, -4, 9, -8, -6, 0],\n [1, 7, 0, 3, 3, 0],\n [1, 5, 0, -4, -8, 3],\n [-1, -3, 5, -10, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -3, 9, 6, 4],\n [4, 7, -4, -4, 8],\n [-5, -3, -8, -7, 0],\n [-7, 6, 4, -3, 9],\n [-9, -7, 4, -3, 0],\n [2, -3, 3, -8, 2]]\nB =\n[[0, -10, -1, -7, -4],\n [1, -10, 4, -10, -7],\n [6, 7, -1, 9, -1],\n [-3, -2, 10, 6, 9],\n [-4, 9, -9, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 2, -10, 9, 10, 9],\n [-8, 4, 2, -5, 7, 1],\n [-3, 2, 0, -7, 5, 7],\n [6, -7, -2, 10, -9, -10],\n [10, 6, 6, -8, -1, 10],\n [3, 4, -9, -3, -10, 7]]\nB =\n[[8, 10, 8, -5],\n [-2, -4, 7, 1],\n [8, 4, 9, 5],\n [-2, 4, 10, 2],\n [3, 7, -8, 1],\n [4, 7, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 7, 0, -4, 4, -2],\n [-5, -6, 9, -5, 10, -3],\n [-5, 9, 5, -3, -7, -1],\n [-8, 0, 1, 10, 4, -6],\n [-3, 4, 9, 1, 8, 1],\n [-9, -9, -5, 1, 4, 6]]\nB =\n[[10, -8, 0, -9],\n [4, 1, 3, 6],\n [-10, -10, 6, 4],\n [-5, -8, -8, 8],\n [1, 3, -4, -1],\n [1, -7, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -1, -6, -5, 5],\n [9, -1, -1, 10, -9],\n [-10, 1, -6, -1, 8],\n [2, 10, 5, -10, 1],\n [-5, -7, 2, 5, -9],\n [-3, -5, 5, 9, -3]]\nB =\n[[7, 6, 6, 1, -9, 3],\n [2, 10, 0, 2, 10, -2],\n [8, 2, -1, -6, -10, 4],\n [-8, -7, -8, 7, -2, 1],\n [-2, -10, 0, 7, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2222", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 8, -9, 6],\n [1, -3, -2, 5],\n [4, -6, -3, -1],\n [2, -1, 5, -2]]\nB =\n[[3, 7, 4, -9, 8],\n [4, 6, 3, -2, 5],\n [-9, -2, -2, -9, 6],\n [4, 5, -6, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 6) of the product matrix AB given:\nA =\n[[-8, -9, -1, -3],\n [2, -4, 8, -7],\n [10, 6, 5, -8],\n [-1, 1, -6, 2],\n [10, 9, 6, -8]]\nB =\n[[9, 0, -3, -9, -3, 6],\n [6, 0, -2, -4, -2, 5],\n [-2, -10, -9, 0, 9, 0],\n [-9, -1, 10, -8, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[7, -10, 4, 5, -5],\n [-7, -3, -5, -5, -5],\n [-7, -10, 5, 1, 1],\n [-2, -7, -2, 7, 9],\n [8, 8, 6, -6, -3]]\nB =\n[[-10, -5, -6, 8],\n [10, 5, -4, 8],\n [-2, 4, -7, 2],\n [-7, 6, 7, 2],\n [-2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 9, 6, -5, -9, 3],\n [-3, -8, -7, 5, 3, -4],\n [2, -4, -5, -9, 4, 9],\n [-6, -7, -2, 5, 2, -5],\n [-7, 3, 6, -5, -3, 4]]\nB =\n[[0, -1, 6, 5, -10],\n [-6, 7, -5, 6, -9],\n [5, -7, 5, 3, 2],\n [-3, -6, 5, 3, 4],\n [2, 10, -6, 6, 4],\n [4, -7, -3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1347", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-2, 10, -5, 2],\n [10, 8, 2, 8],\n [-1, 2, 1, 3],\n [-9, -3, -3, -7],\n [8, -2, 1, 6],\n [-4, 1, -7, -10]]\nB =\n[[5, -1, -9, 7, -8],\n [5, -2, -1, 9, 1],\n [5, -7, 2, 0, 10],\n [4, 6, 9, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -2, -1, 0, 6, -2],\n [-5, 7, 6, 10, -3, 9],\n [0, -1, 7, 7, -1, 5],\n [1, 8, 2, 2, -8, -2]]\nB =\n[[4, 8, 0, 0],\n [5, 8, 9, -9],\n [-10, 3, 7, 4],\n [9, -9, -9, 5],\n [7, 10, -8, 7],\n [-5, 3, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -7, -8, 8, 9],\n [6, -4, -8, -3, 10],\n [-1, 4, -4, -1, -2],\n [-6, -2, -4, 7, 8]]\nB =\n[[-2, 8, 8, 7, 7],\n [-4, 10, -3, 1, 6],\n [7, 10, -9, -4, 8],\n [-2, -6, -9, 0, 4],\n [-9, -5, 7, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1073", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, -2, 8, 5, -9],\n [-3, -8, 5, -3, -10, 6],\n [-6, 4, 5, 9, 8, -4],\n [4, 8, -4, 1, -9, -4]]\nB =\n[[-2, 5, -5, 0],\n [7, -1, -1, -9],\n [3, 3, -10, 6],\n [2, -3, -2, -4],\n [-1, -4, -3, 2],\n [5, -1, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[9, 3, -10, 5],\n [8, 4, -4, 9],\n [9, 9, 0, -3],\n [4, 1, -8, -10],\n [-8, -10, -8, 9],\n [7, -3, 2, 9]]\nB =\n[[4, -2, -6, -6, -6],\n [8, -8, -6, -9, -9],\n [8, 10, -7, 6, -6],\n [5, 6, 2, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 0, 8, -5, 9, -6],\n [-3, 1, 3, 1, -8, 0],\n [0, 0, 5, -8, -3, -1],\n [-8, 8, -2, 2, -8, -3],\n [2, -6, 3, 3, -10, 5]]\nB =\n[[-3, 5, -2, -9],\n [9, 9, -1, -6],\n [-9, -7, 6, -8],\n [-1, -10, -9, 8],\n [7, 10, -5, 3],\n [7, 0, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 0, -5, 3, -9],\n [7, 8, -6, -2, -5],\n [9, 10, -7, -3, -3],\n [-3, 8, 6, 3, 4]]\nB =\n[[-5, 7, -9, 2, 9, 6],\n [-2, 5, -1, -6, -3, -2],\n [0, -1, 0, 1, -1, -7],\n [-2, -2, -10, -2, 6, -3],\n [-5, 9, 8, 1, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -6, 2, 9, 2, -5],\n [1, 8, -5, -1, -8, -7],\n [-8, 0, -3, -9, 3, -10],\n [1, 3, -1, 0, -6, 2],\n [-2, 10, -2, -2, 5, 7]]\nB =\n[[10, 5, -5, 0, 6, 10],\n [-10, 4, 0, -6, -8, -8],\n [-1, 1, 2, 9, -1, 2],\n [6, -9, 4, 5, 3, -4],\n [-8, 7, 0, 6, 7, 0],\n [-10, 0, -8, 0, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2124", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-6, -5, 6, -3, 3, 2],\n [-7, -8, 5, -4, 9, -3],\n [-5, -5, -4, -9, 4, 2],\n [10, -8, 9, -1, 4, 9],\n [0, -10, -5, 6, 2, 8],\n [-3, 0, 5, 8, -8, 3]]\nB =\n[[-5, 7, 0, -2, 1, -7],\n [0, 10, 8, 1, -9, -1],\n [-9, 7, 6, -8, 5, -6],\n [3, -6, -7, -6, -3, -7],\n [-9, -7, 10, 6, 9, 5],\n [-8, 3, 7, 0, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, 0, 3, 8],\n [-7, -3, 10, 5, 8],\n [2, -2, -5, -6, 1],\n [8, -1, -4, -4, -2],\n [5, 1, 9, 9, 0]]\nB =\n[[6, 9, -2, 10],\n [7, -9, 3, 8],\n [1, 3, 9, 1],\n [5, 1, 6, 4],\n [-3, -5, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1075", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 1, -1, 3, 6],\n [7, -1, 4, 1, -5, -1],\n [6, 6, -3, 5, -1, -9],\n [-6, 4, 4, 2, -1, -10],\n [2, 2, 6, -9, 5, -4]]\nB =\n[[-10, 9, 0, 9, 8, 0],\n [10, 1, -6, 6, 1, 7],\n [6, 6, 6, -6, -7, 1],\n [5, 8, 2, -5, -4, 10],\n [9, 5, -6, 1, 7, -7],\n [9, -9, 6, -7, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1765", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -1, 3, -5, -1, 3],\n [-2, -5, 1, 4, 10, 9],\n [-5, -5, 8, 9, -10, 7],\n [0, 4, 3, 8, -1, 4]]\nB =\n[[4, -1, -9, 4],\n [1, 10, 8, -9],\n [-10, 2, -2, -1],\n [-10, 2, 8, -2],\n [5, 6, 9, 1],\n [8, 5, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -6, -8, 4],\n [-4, 5, 1, 10, -1],\n [-5, 5, 5, 9, 1],\n [4, 3, -6, -6, 7]]\nB =\n[[3, 7, -5, 1, 7, 0],\n [-3, 2, 9, 3, 5, -8],\n [-10, -3, -2, -5, 10, 4],\n [2, -5, 7, -1, -5, -2],\n [10, 9, -8, -7, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 3, -1, 4],\n [1, 6, 7, -5, -3],\n [7, 6, 10, 1, 6],\n [9, 2, 5, -2, 2],\n [5, 0, 0, 10, -5]]\nB =\n[[-8, 1, -3, -5],\n [-1, 6, 4, -7],\n [5, -2, 1, 1],\n [9, 6, -5, 9],\n [-3, 8, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[9, 9, -6, -2],\n [6, -3, 8, -10],\n [10, 1, 10, 4],\n [5, -4, 8, -7]]\nB =\n[[-7, 2, 5, -3, 2, 4],\n [3, -10, -8, 9, 8, -4],\n [5, -10, -2, 9, -2, 3],\n [-2, -8, 9, 2, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[5, 8, 3, 3],\n [-8, -2, -7, 3],\n [5, -4, -5, -10],\n [-3, -5, -4, 8]]\nB =\n[[1, 0, 2, 3],\n [8, 4, 7, -6],\n [9, -4, 9, -10],\n [-7, -5, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -5, -5, 4, 5, 9],\n [10, 5, -10, 7, -10, -2],\n [-4, -9, -6, 8, -9, 5],\n [0, 0, 10, -8, 6, -8],\n [5, -10, -10, 2, 2, 9],\n [-4, -7, 7, -3, -7, -8]]\nB =\n[[4, -1, 1, 0, 8, -7],\n [-2, -4, -1, 7, 0, 3],\n [4, 5, -9, -3, 5, -9],\n [-10, -3, -9, 5, -4, -3],\n [-4, -3, 6, 8, 6, 7],\n [-2, -9, -4, -7, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2640", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 8, 6, 5, 10],\n [-8, 1, -10, -8, -9],\n [-5, -4, -5, 1, 6],\n [2, 1, 1, -8, 9],\n [-5, -6, 8, 10, -8]]\nB =\n[[5, -7, -3, -4],\n [-9, 0, -5, -3],\n [-8, 6, 0, 9],\n [1, 5, 6, -7],\n [-9, -5, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 3, -7, -6, -10],\n [8, 2, -5, 1, -7],\n [3, 3, 7, -6, -6],\n [-9, 9, -9, 8, 5],\n [-6, 1, -10, -4, -5],\n [1, -6, -8, -9, -8]]\nB =\n[[-1, 4, -7, 4, 1],\n [3, 0, -9, 0, 6],\n [3, -10, -6, 9, -2],\n [3, -4, 6, -9, -4],\n [-6, -10, -10, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1057", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -2, -1, 2, 6],\n [3, 9, 7, 5, 8],\n [1, 7, 9, 0, 7],\n [-7, -6, 0, 3, 4],\n [-7, 2, -2, -5, 4],\n [-5, 2, 7, 0, 1]]\nB =\n[[-8, -4, -1, 9, -4],\n [-3, 3, -8, 2, 2],\n [-9, -5, -6, -10, -3],\n [0, -4, -3, 0, -3],\n [1, 5, 4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1370", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[8, -10, -9, 5],\n [8, -10, -10, -1],\n [-4, 10, 10, -8],\n [-2, 9, 1, 10]]\nB =\n[[4, -9, -2, -4, -2],\n [-1, -6, -8, -9, 6],\n [-1, 8, 9, -3, 8],\n [10, 5, 7, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 6, 6, -9, 0],\n [-9, 9, 9, -8, 3],\n [4, 1, 7, 1, 0],\n [4, 6, 5, 2, 9]]\nB =\n[[5, -7, -10, 9, -6, 1],\n [-3, 1, -8, 5, 2, 6],\n [9, -7, -2, -5, -8, -6],\n [-2, -8, 8, -1, -5, 9],\n [8, 2, 0, -5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-545", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[7, 0, 2, 5, -10, -1],\n [-2, -2, -9, 8, 6, 8],\n [2, -3, -5, -9, 5, 10],\n [5, 8, 4, 7, 9, 1]]\nB =\n[[-3, 7, 8, -9, 1],\n [9, 0, -7, 10, -4],\n [1, 6, -3, 10, -1],\n [-1, -4, -9, 1, 2],\n [7, 8, 1, -10, 3],\n [6, 0, 5, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -10, -3, -4],\n [-10, 6, -2, 5],\n [-7, -6, -4, -6],\n [2, 0, 1, -8],\n [-8, 6, -6, 1],\n [9, 7, -4, -2]]\nB =\n[[-5, 0, -4, -9, -1, 10],\n [10, 7, -2, 5, 0, 0],\n [9, -2, 3, -1, 2, 4],\n [-4, 0, 7, 5, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1686", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 7, 10, 6, -9],\n [-1, 9, -4, 7, 2],\n [-5, 0, 8, 10, 5],\n [5, -2, 5, 10, 10],\n [9, 6, 5, 9, 8]]\nB =\n[[-7, 0, 0, 2],\n [-10, -3, 0, -1],\n [-3, 4, 6, 4],\n [-6, 4, 6, -1],\n [-8, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1333", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -4, -8, -8, -8],\n [8, -4, 2, -6, -10],\n [10, 0, -1, -8, -9],\n [3, -5, 6, -7, 7],\n [0, 5, -9, 4, -4]]\nB =\n[[1, -4, -7, -9, 3],\n [-7, -8, -9, 2, -8],\n [1, 9, 9, 10, -10],\n [10, 8, 8, -9, 4],\n [10, 7, 10, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-995", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -10, -5, 3, 5, 4],\n [-8, 6, 5, -8, 3, -1],\n [-10, -2, 2, -10, -9, 0],\n [4, 2, 6, -8, -7, -10],\n [-5, 10, -3, -7, 2, 0],\n [-4, -4, -1, -6, -9, 5]]\nB =\n[[-3, -9, 10, 8, 4],\n [5, 2, -6, -10, -5],\n [-7, 0, -8, 5, -1],\n [-3, 7, -6, 5, -2],\n [-5, 0, 5, 7, -3],\n [9, -2, 8, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[3, -8, -2, 7, -8, -9],\n [7, -6, -7, -1, -9, 3],\n [9, 4, 3, -1, 1, -9],\n [9, 8, 5, 7, 0, 9],\n [-10, -9, 6, 4, -10, -10]]\nB =\n[[1, 7, -9, 0, -4, 5],\n [-10, -10, 9, 3, 7, -2],\n [-9, 5, -2, 7, 4, 0],\n [-6, -7, -2, -1, -5, 1],\n [-8, 3, 1, -2, -2, 10],\n [8, -4, -7, -1, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 3, 8, -4],\n [2, 3, 0, 0],\n [7, -3, -2, 2],\n [10, 4, 0, 8],\n [3, -1, -3, 6]]\nB =\n[[-1, -9, -2, -10, -4, 10],\n [0, 10, -10, 5, -10, 8],\n [4, -6, 3, 6, 6, -4],\n [8, 0, -9, 5, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, -8, 3],\n [-6, 10, 8, 4],\n [-7, -8, 6, -3],\n [0, 4, 3, -7],\n [-7, 5, 5, 4]]\nB =\n[[-9, 10, 5, 7],\n [-7, 10, 4, 5],\n [-4, 8, 8, 7],\n [-4, 7, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[3, -9, 7, -8, -1],\n [0, 6, -8, 1, -7],\n [-1, 9, -5, -8, 6],\n [3, 4, -2, 3, 10]]\nB =\n[[1, 7, 2, 3, -4],\n [-6, -1, -1, -6, 4],\n [9, -5, -7, 5, 1],\n [3, 7, -1, -8, 5],\n [9, -3, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 1, 9, 5],\n [-9, 4, 3, -8],\n [-1, 4, 7, 8],\n [4, 10, -4, -1],\n [0, -1, -7, -9],\n [-8, -9, 0, -5]]\nB =\n[[7, 1, 7, 3],\n [7, 9, -2, 5],\n [4, -10, 10, 1],\n [6, 5, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, -1, 9],\n [-7, -2, -5, -8],\n [7, -3, -3, -6],\n [5, 1, -7, 7],\n [-7, 5, 1, -3],\n [3, -3, -1, -2]]\nB =\n[[-1, -10, 9, 1, -6, 4],\n [6, -5, 6, -10, -9, -7],\n [9, 2, -1, 5, 9, 5],\n [-9, 5, 5, 8, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, -5, -6, -3],\n [-3, -10, 0, 8, -6],\n [-8, 10, -5, -5, 5],\n [-2, -1, -1, -1, -2],\n [-4, -10, 8, 10, -3],\n [-5, 6, -5, 5, 0]]\nB =\n[[-9, 5, -7, 6, 8, -4],\n [4, 8, 10, 7, 9, -1],\n [-5, 4, 5, -2, -7, 1],\n [1, 9, -4, -9, 7, -4],\n [8, 4, -1, -4, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2030", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -6, 8, -4, 7],\n [-10, -3, -7, 10, -3, 8],\n [-4, -9, -9, 9, -3, 6],\n [-6, 2, 5, 0, -2, 4],\n [-10, -3, -10, 8, -3, 10]]\nB =\n[[7, 5, 4, -5],\n [-5, -4, -2, 1],\n [-9, -10, 3, 1],\n [8, 1, -3, -7],\n [10, 7, 0, -2],\n [-6, 6, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-376", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -10, -1, 1],\n [0, 8, -4, 1],\n [8, -4, 5, -4],\n [-9, -10, 3, -7]]\nB =\n[[-3, -6, 1, 8],\n [1, 2, -1, 2],\n [3, -5, 8, 7],\n [3, 10, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, -1, -4, -9, -9],\n [4, 8, -4, 1, -8, 2],\n [-4, 10, -1, -5, 8, -5],\n [-8, 4, 3, -5, 6, 10],\n [1, 5, -2, 0, -5, 7]]\nB =\n[[1, 10, 9, 8, -7, -1],\n [5, 4, 8, 3, 8, -8],\n [2, -2, 0, -2, -4, -10],\n [-5, 3, -7, 7, -4, 0],\n [8, 0, -7, 10, 0, -6],\n [8, 2, 10, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2096", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, -2, -8, 10],\n [0, -7, -5, -1, -9],\n [2, 9, 2, 6, 3],\n [-6, 4, -5, 4, -10],\n [-1, -9, -5, 9, 4],\n [-1, 7, 10, -1, -9]]\nB =\n[[0, 5, -9, -3, 6, -8],\n [3, -10, -6, -3, 2, -8],\n [6, -9, 1, 7, 8, 5],\n [6, -2, 2, 5, 5, 6],\n [-2, 10, 0, 7, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[9, 7, 1, -2, 8],\n [9, 0, 6, 2, -8],\n [0, 1, 7, -6, 6],\n [-9, -9, 3, -6, -6]]\nB =\n[[3, -6, 7, -9],\n [1, 7, -6, -4],\n [3, -6, -1, -9],\n [8, -5, -7, -2],\n [-7, 2, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 4, -10, 9],\n [-1, -1, 8, -3],\n [-5, 4, 8, 10],\n [8, -2, 4, -6],\n [6, 5, 10, -2]]\nB =\n[[-2, -9, -6, -9],\n [1, -6, 3, 3],\n [-3, -3, -6, -1],\n [7, 7, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1140", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, -5, -9, -6, -10, -10],\n [-7, -10, 7, 7, 6, -8],\n [-7, -9, -6, 1, -2, -1],\n [7, -5, 10, 6, 9, -7],\n [-8, 2, -7, 5, -4, 9],\n [-2, -2, -9, -5, -1, -6]]\nB =\n[[6, -4, -6, 8],\n [3, -6, -2, 5],\n [-10, -7, 10, 8],\n [6, 4, 6, -2],\n [-6, -10, 2, -4],\n [-7, 10, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, -9, 1, -5, -2],\n [6, 8, 8, -9, 5, 5],\n [5, 3, 8, -6, -6, 3],\n [1, -7, 5, -2, 1, -2]]\nB =\n[[-3, -2, 9, 7, -4, 4],\n [6, 4, 9, 1, 0, -9],\n [-5, -3, -4, 2, 10, 6],\n [1, 0, -7, 6, 9, -4],\n [-2, -7, 6, 3, -6, 1],\n [2, -2, -5, -10, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 2, 8, -7],\n [-10, 9, 10, -5],\n [10, -4, -5, -8],\n [6, -5, -1, -6]]\nB =\n[[4, 5, -6, -4, -1],\n [2, 4, 0, 4, 10],\n [8, -9, -2, 8, 2],\n [-6, 5, -3, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[4, -3, 6, -9, -1],\n [-8, 7, 9, 0, 5],\n [0, 9, -7, 4, -7],\n [7, -10, -7, -6, 2],\n [7, -7, 6, 10, 2],\n [8, 3, 4, 7, 9]]\nB =\n[[-10, -9, 8, 5, 6, -10],\n [10, 9, -2, 3, -3, -9],\n [4, -2, -3, -6, 0, 1],\n [4, -2, -9, 0, -2, 2],\n [2, 10, 0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 1, 8, -6, -4],\n [5, -10, -5, -7, -8],\n [9, 0, 10, 2, -9],\n [-5, -7, 10, 4, 3],\n [10, 9, -6, -3, -7],\n [1, -10, -2, 9, 5]]\nB =\n[[2, 6, 6, -6],\n [-10, 5, -4, 8],\n [-5, 4, -3, -7],\n [9, 4, 2, -3],\n [4, -10, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, 9, 5, 1, 4],\n [4, 1, 3, 6, 5],\n [-2, -9, -7, -5, -7],\n [-5, -2, -2, 5, 1]]\nB =\n[[-1, 10, -7, 7, 2],\n [-4, -8, -6, 5, 5],\n [-2, -9, -10, 0, -4],\n [-3, -10, -1, -4, 4],\n [-4, -8, 0, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[7, 6, 3, 8],\n [7, -1, -8, -8],\n [-10, -2, -10, -4],\n [2, -6, 4, 8],\n [9, 4, 3, 6],\n [-3, -7, 9, 2]]\nB =\n[[9, 4, 4, 6, 1, 7],\n [-1, 2, -3, 1, -6, -6],\n [-10, 0, -4, -5, 6, 8],\n [-10, -7, 7, 1, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, -7, 1],\n [6, -2, 1, -8],\n [1, 8, -7, -4],\n [-1, -3, -5, 10],\n [0, -4, 3, -9]]\nB =\n[[-9, -10, 0, 6],\n [-3, 8, -1, -9],\n [-2, -3, -4, 5],\n [7, 9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, 6, 5],\n [-5, 2, 8, -5],\n [-5, -2, -6, -1],\n [-1, 6, 8, 1],\n [6, -7, 7, -1],\n [2, 10, 9, -9]]\nB =\n[[-10, -4, -7, -1, -8],\n [2, -5, 2, 2, 2],\n [-7, 2, -10, 8, 10],\n [5, 9, 2, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -5, -4, -3, 3],\n [9, -6, -9, -4, -8],\n [-8, -5, 2, -8, 2],\n [-7, -6, 6, -4, -2],\n [-3, 9, -5, -8, 7],\n [-3, -2, -10, -5, 10]]\nB =\n[[-9, 0, -9, -4, 1],\n [-5, 1, 1, 8, -1],\n [9, 9, 3, 7, -9],\n [7, -5, 2, 10, -8],\n [5, -10, -7, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-611", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[7, 7, 8, 10],\n [-1, -3, -9, 2],\n [-7, 6, 7, 7],\n [-6, 1, -5, 0],\n [-9, 7, -5, -9]]\nB =\n[[-10, 8, -8, 4, -9, -4],\n [-10, 4, 10, -2, 9, -6],\n [9, -10, 8, 3, -10, -3],\n [2, -10, -5, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -2, -3, 7, -9, -6],\n [-5, 7, 3, 3, -8, -7],\n [-2, 7, 9, 8, -3, -6],\n [2, 10, -7, 4, 6, -1]]\nB =\n[[-2, -1, -2, -10],\n [0, 7, -3, 0],\n [-4, -5, -6, 6],\n [4, -1, -9, 7],\n [-2, -4, -7, -3],\n [-3, -6, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -6, -1, 0, 10],\n [-2, -8, -9, 0, -3],\n [5, 5, -4, -1, 9],\n [-3, 2, 6, -6, -2],\n [-2, -1, -2, -4, 8]]\nB =\n[[9, 6, 7, 6, -1, -5],\n [5, -8, 0, 4, 9, 1],\n [10, 4, 8, 10, 7, 6],\n [4, 0, 9, -2, 7, -2],\n [-2, 1, 1, -2, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1500", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, -10, -7, -2, -9],\n [-8, 1, -2, -8, 8, 0],\n [-5, -8, 10, 2, -2, 9],\n [4, 4, 2, -2, -7, -6]]\nB =\n[[1, -10, -10, 1, -6, -6],\n [-1, 6, -2, -3, -9, -6],\n [-8, 7, -1, -3, -3, -6],\n [9, 2, -4, 8, -9, 2],\n [3, -1, 4, 8, 0, 4],\n [10, -5, 7, 2, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 2, 0],\n [-3, 9, -5, 1],\n [-10, 5, 9, 0],\n [6, -2, -3, -8],\n [-4, 4, -7, 10]]\nB =\n[[-1, -8, -5, -10],\n [-9, 3, -2, -2],\n [2, -1, 6, -4],\n [-3, 10, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -2, 9, -10, -5],\n [-6, -8, -7, 2, 7],\n [-5, -3, -4, -2, -1],\n [-10, 6, -3, 10, -2],\n [4, -9, 6, 5, -7]]\nB =\n[[3, -6, 4, -7, 2],\n [-4, -9, -10, -5, -5],\n [-3, -4, 4, 6, -5],\n [3, 4, -8, 10, 1],\n [-1, 9, -5, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 8, -7, -5, 6],\n [-7, -2, -8, 10, -3],\n [-9, 6, 4, -3, 8],\n [-8, 7, 7, -3, 1],\n [-10, 6, 9, 0, -10]]\nB =\n[[9, -6, 5, 10],\n [10, 10, -1, 4],\n [8, -6, -7, 5],\n [-8, -4, -9, 0],\n [-1, -3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 1, 7],\n [-9, -7, -8, -8],\n [-7, 2, -2, -8],\n [9, 4, 3, 2],\n [9, -10, -10, -6]]\nB =\n[[2, 2, 10, -9, 8],\n [-5, -8, -8, 4, -7],\n [-7, -2, -10, 7, 10],\n [-4, -4, 3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1886", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 4, -2, 6, 3],\n [-9, 0, 1, -2, 6],\n [6, -3, -2, -5, -7],\n [-6, 3, -2, 4, 10],\n [-2, 0, -9, -10, 7],\n [4, -9, -6, -2, 8]]\nB =\n[[-4, -4, 3, 6, -7, 1],\n [5, -3, -10, 3, -3, -7],\n [-6, -5, 8, -10, -1, -7],\n [-7, -9, 6, 3, -9, 9],\n [7, -9, 8, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1976", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 9, 8, -8],\n [2, 5, 3, 1],\n [6, 0, 1, -10],\n [-9, -10, 8, -1],\n [-7, 1, 8, 9],\n [6, -8, -6, -8]]\nB =\n[[-5, -4, -3, 7],\n [-7, 6, 4, -2],\n [-7, -5, 1, -2],\n [3, 6, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[4, 6, 2, 1, -7],\n [7, 1, 5, 1, 6],\n [0, 8, 0, 0, 3],\n [-9, 5, -4, 5, 6]]\nB =\n[[-1, -5, 5, -9, -7, -7],\n [-3, 9, 10, -7, -1, -3],\n [-2, -2, 4, 3, -1, -8],\n [-7, 1, -8, -8, 9, 3],\n [-8, 8, -7, -5, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 7, -3, 4, -5],\n [1, 0, -2, -2, -3],\n [-10, 8, -10, 9, 8],\n [-7, -9, 7, -1, 1],\n [4, 4, 0, -1, -10]]\nB =\n[[4, -7, 10, -7, -5, 9],\n [10, -9, 10, 8, -3, 1],\n [-8, 4, 3, -6, -1, 10],\n [0, 3, -3, -5, 9, -4],\n [-10, 2, 5, -9, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -7, 1, 6],\n [1, -8, -5, 3],\n [7, -8, -6, 8],\n [4, -1, -10, -3],\n [3, 4, 2, 6],\n [1, 5, 6, 10]]\nB =\n[[4, -10, -8, -3],\n [7, -5, -1, 7],\n [7, -5, 5, 5],\n [6, -3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1471", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -2, 1, -1, 4, 10],\n [4, -7, -8, -6, 4, 3],\n [-2, -1, -9, -7, -6, -9],\n [-6, -9, 8, 5, -7, -3],\n [9, -1, 1, 4, -6, -1]]\nB =\n[[-3, 1, -7, 4, 0],\n [-9, -1, -5, 2, 9],\n [3, -10, -2, 5, -4],\n [-1, -4, -3, 9, 0],\n [-2, -7, 1, -2, 0],\n [10, -9, -6, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 8, -3, -10, -7],\n [-4, 0, -2, -3, -9],\n [-2, 5, 8, 7, -8],\n [-6, 2, 2, 6, 2],\n [-1, 7, -5, -3, 1],\n [2, -9, 3, 9, 8]]\nB =\n[[10, -1, -6, -9, -7, 10],\n [0, -9, -5, 1, -10, -1],\n [0, 2, -3, -2, -4, 2],\n [-7, 9, 8, 2, -4, -9],\n [-9, -5, 7, -5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, -3, -9],\n [0, 3, 1, -1],\n [-5, 5, -2, -6],\n [0, -6, -2, 8],\n [-2, -4, -10, 1],\n [-9, -5, 6, 9]]\nB =\n[[-6, -2, -9, -7],\n [-4, 10, 9, -7],\n [6, 4, -8, -9],\n [0, -6, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -5, -3, -8, 5, 8],\n [5, -7, -4, 10, 3, 3],\n [8, 4, -2, -5, -8, 3],\n [5, -3, 10, 0, -3, 5]]\nB =\n[[-2, -6, -7, 5],\n [6, 7, 2, -1],\n [7, -10, 8, 0],\n [10, 5, -7, 6],\n [9, 7, -5, -7],\n [9, 5, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1083", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 10, 6, 6, 9, 7],\n [-2, 6, -9, 4, 0, 1],\n [5, 1, 1, -10, 5, -2],\n [-2, 3, 2, -5, -3, 3]]\nB =\n[[9, 6, 9, -9, 0, -7],\n [10, 4, 6, 4, 9, 10],\n [5, -5, 2, 6, -6, 3],\n [5, 5, 5, 2, 1, 7],\n [-6, -8, 7, 5, 10, 6],\n [10, 3, 6, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1089", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -2, -2, -1, 8],\n [6, -9, 0, -3, -6],\n [4, 1, 2, 7, 7],\n [-8, -4, 0, 8, -4],\n [1, 7, 3, 5, -6]]\nB =\n[[-5, -9, 2, -9, -1, 5],\n [5, -10, 10, 8, -3, -8],\n [-6, -1, 1, -8, -3, -4],\n [8, -7, 6, -4, -6, -10],\n [3, 10, -8, 7, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-484", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-8, -3, -4, 6, -7],\n [5, 2, 0, 9, -2],\n [-9, 5, -10, 8, 8],\n [1, -6, -3, -8, 2]]\nB =\n[[-3, -4, 4, 8, 9],\n [-10, -10, 2, -10, 7],\n [-10, -4, 1, 2, 4],\n [-9, -9, -5, 4, -10],\n [-1, -8, 9, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, -5, -8],\n [1, -1, -9, 2],\n [2, -7, 4, 8],\n [7, 5, -9, 8]]\nB =\n[[2, -10, 10, -8, 3, 10],\n [5, -9, -7, -1, 8, -9],\n [-3, 8, 5, 3, 5, 5],\n [-1, -1, 2, -5, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -10, 7, 9, 3],\n [8, 3, -3, 6, 2],\n [-9, 6, -3, 7, -1],\n [2, 4, 5, 4, 2],\n [-1, 2, -9, 10, -9],\n [6, -8, -2, 4, -10]]\nB =\n[[0, 1, -9, -3, -8, -4],\n [6, 5, -3, 0, -1, -8],\n [8, 1, 0, -9, -2, 2],\n [10, 6, 4, 10, 0, -6],\n [3, 5, -1, -2, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-6, 7, 3, 5, 5, 1],\n [-1, -10, -7, -6, -5, 3],\n [8, 9, 10, 9, -10, 7],\n [-9, -10, -6, 10, 6, -1]]\nB =\n[[-3, -3, 6, -9],\n [-6, 5, -9, -10],\n [10, -10, 2, 4],\n [2, 9, 8, 10],\n [-9, 1, 8, 3],\n [2, 6, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -5, 7, -9],\n [0, -10, 7, 6],\n [8, -5, -8, -3],\n [-6, 0, -10, 1],\n [-7, -1, -9, 5],\n [7, 7, -10, 0]]\nB =\n[[-10, -8, 0, 10],\n [8, -10, 5, 8],\n [-1, -10, 8, -10],\n [1, 0, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, -6, 5, -3],\n [-7, -3, 7, -8, -10],\n [3, -9, -3, -10, -9],\n [2, -9, 9, 5, 6]]\nB =\n[[-5, 8, -8, 3],\n [2, 1, -3, 4],\n [-1, -3, 2, -9],\n [-6, 0, -1, -4],\n [-4, -10, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[10, 1, -5, 3],\n [5, -2, 5, 7],\n [-10, 1, -6, 1],\n [5, 7, -1, 0]]\nB =\n[[10, -8, 7, 10, 6, -7],\n [-5, -9, -4, 6, 1, -10],\n [-5, 3, 5, -2, 8, -10],\n [-6, -4, 8, -9, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -1, -9, 0, 6],\n [1, 3, -2, 6, 6],\n [2, 4, 5, 5, 9],\n [-5, 3, -6, 7, -8],\n [-3, -8, 8, -2, 0],\n [-1, -1, -1, -2, -7]]\nB =\n[[9, -4, 4, 6],\n [6, 7, 10, -7],\n [10, 0, 7, -1],\n [0, -7, 9, -1],\n [3, -2, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, 1, -1],\n [6, -5, -10, -8],\n [4, 5, -2, 8],\n [-10, -8, -2, 10],\n [-5, 0, 9, -1],\n [10, -9, 7, 5]]\nB =\n[[3, -10, -6, 9, 2, -5],\n [9, -4, 8, -10, 5, 0],\n [1, 6, -10, 10, 8, -4],\n [-4, -9, -5, -4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, -1, -5, 1],\n [8, -6, 8, 3, -10],\n [3, 3, -5, 8, -9],\n [-6, -2, -4, -4, -10]]\nB =\n[[-6, -10, -7, -9, -7],\n [5, -5, 4, -7, 6],\n [-3, -5, 7, -4, 2],\n [5, 3, 8, -7, -7],\n [7, -7, -10, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, 1, -4, 7],\n [10, -10, -10, 8, -2],\n [10, 1, 8, -5, 10],\n [-7, -5, 2, 3, -6],\n [-4, 8, 7, 0, -5],\n [3, 3, 6, 5, -10]]\nB =\n[[-5, 5, 1, 7, 10, 3],\n [1, -3, 8, -2, 2, -9],\n [0, -8, 9, -8, -1, -7],\n [1, 2, -7, 2, -6, -1],\n [9, -4, -1, 3, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2718", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 3, -5, 7],\n [3, -2, 9, -9, 0],\n [2, -7, -1, -10, 5],\n [10, -7, 10, -5, 9],\n [-8, 8, -7, 6, -4],\n [9, -3, 8, 5, 2]]\nB =\n[[0, -1, 6, 10],\n [9, -1, 2, -3],\n [8, -8, 10, -6],\n [-3, -9, 2, 6],\n [-6, 9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -9, 4, -1],\n [6, -7, 7, 4],\n [-6, -9, -4, -5],\n [-9, 4, -10, -4]]\nB =\n[[-7, 1, 2, 2, 6, -1],\n [-5, -3, 5, 9, 3, -1],\n [9, -10, 1, 1, 1, 3],\n [-6, -7, 9, -4, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -4, -7, -8, -7],\n [-5, 3, 4, -7, 8],\n [-2, -10, -10, -7, 6],\n [2, -10, 2, 0, -4],\n [4, -6, -8, -8, 1],\n [-6, 8, 8, -7, -7]]\nB =\n[[5, 5, 2, 5],\n [-10, -3, -7, -8],\n [6, -7, -4, 8],\n [1, 9, 4, 2],\n [7, 6, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1493", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, 1, 10],\n [-6, -8, 10, -9],\n [-10, 4, -8, -10],\n [4, 4, 2, 9],\n [4, -8, 10, -7]]\nB =\n[[-5, 1, 3, 8, -7],\n [-10, 1, 3, -9, -7],\n [7, -8, -5, 7, -5],\n [-7, -1, -9, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1994", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1, -5],\n [2, -1, -10, 5],\n [-9, -9, 1, -3],\n [-3, -3, 8, -4]]\nB =\n[[-4, 9, 3, -6, 7, 7],\n [5, 8, 4, 2, 3, 4],\n [-10, -6, 0, 10, 2, -5],\n [-6, 1, -10, -7, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1518", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -10, -7, -9, 8],\n [4, 9, 10, -7, -3],\n [-7, 4, 0, 1, 3],\n [-5, 9, 8, 9, 9],\n [2, -8, 4, 7, -3]]\nB =\n[[4, 9, -7, 1],\n [-6, 5, 7, -6],\n [0, -2, -3, -3],\n [-10, -6, 3, 8],\n [-5, -9, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 7, -4, 1],\n [-1, -10, -4, -3],\n [-5, 1, -8, 9],\n [9, 5, -6, 10],\n [-9, -1, -4, -5]]\nB =\n[[2, -7, -8, 5, -9, -8],\n [8, 5, -3, 4, 7, 4],\n [0, -10, 10, -7, 0, 3],\n [7, 9, -2, -2, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "611", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, -8, 7, 3, -2],\n [-2, 2, 9, 3, 8, -9],\n [5, -8, 8, -7, 7, 4],\n [-9, 4, -4, -10, 4, -2],\n [-5, -5, 2, -3, 4, -1],\n [-4, -1, 10, 8, 7, -3]]\nB =\n[[9, 1, -8, -10, -9, -3],\n [5, -7, 2, -6, 7, 8],\n [5, -6, 4, -1, 4, 8],\n [8, -6, -10, 10, -1, 10],\n [-4, -9, 2, 5, -9, -3],\n [3, -9, -8, 2, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-5, 0, 10, 9, -1, -2],\n [7, 1, -10, 6, -9, 10],\n [0, -1, -6, -6, -5, 5],\n [2, -4, -7, -5, -3, 8],\n [-2, -7, 0, -10, 9, 3],\n [-6, -2, 6, 0, 0, -2]]\nB =\n[[-6, 8, -6, 7, 9],\n [-9, -2, -3, -5, 9],\n [-4, -3, 9, 4, 2],\n [-5, 9, -3, 4, -9],\n [-3, 10, 9, 3, 9],\n [-2, 5, 9, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 6, -6, -7, -1, -2],\n [1, -9, -1, -3, 4, -10],\n [-8, 3, -5, 7, -6, -7],\n [2, -1, -3, -9, -7, 4],\n [-3, -9, 4, 0, 2, 1]]\nB =\n[[-4, -6, -3, -5, 10],\n [-4, 0, 5, -5, 7],\n [10, 1, -8, -6, -2],\n [-7, -3, -6, -9, 8],\n [-7, 6, -8, 0, 5],\n [9, -2, 5, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1815", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, 4, -5, 0, 0],\n [-3, -6, -9, 10, 8],\n [-10, 5, -7, -3, -3],\n [8, 2, -10, 0, 1],\n [-2, 5, 1, -4, 1],\n [2, -5, -7, -3, 10]]\nB =\n[[2, -4, 5, -4, -5, 4],\n [9, -3, 7, 10, 2, -1],\n [-7, -4, -7, -6, -9, -3],\n [7, 7, 3, -3, 9, 10],\n [-7, -2, -5, 4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-6, -5, 8, -5],\n [5, 7, -2, 6],\n [5, -2, -4, -5],\n [4, -7, 0, -10],\n [-1, 3, -8, -9]]\nB =\n[[6, 8, -7, -1],\n [6, -10, -4, -3],\n [-5, 10, -8, -7],\n [7, -7, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, 6, -2, 7, -9],\n [9, -5, -1, -6, -2],\n [-1, 2, -3, -5, -5],\n [2, 7, 5, -5, 10],\n [-1, -9, 0, 8, -10],\n [-6, -2, -2, 8, -9]]\nB =\n[[3, 10, 9, -3, 10],\n [-9, -7, -5, 8, -8],\n [-1, -10, -9, -5, -9],\n [-6, -9, 7, 5, -3],\n [-9, -7, 6, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 9, -7, -4],\n [0, 5, -2, -7],\n [-5, 0, 3, 2],\n [4, 7, -8, 8]]\nB =\n[[-2, -9, -7, 6],\n [1, -3, 6, 1],\n [-3, -10, 10, -5],\n [9, 10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[0, -4, 0, -1, -3],\n [-2, 6, 4, 0, -5],\n [5, 4, -7, -10, -5],\n [2, -10, 5, -9, 5]]\nB =\n[[2, 2, 7, 1, 2],\n [-3, 1, -2, 2, 2],\n [-3, -7, -6, 10, -3],\n [-4, -6, 5, 9, -6],\n [-9, 7, -7, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, 3, -5],\n [-8, -8, 8, -10],\n [3, 4, -6, 0],\n [3, -2, 8, -5]]\nB =\n[[-5, -8, -3, -8, 0, 5],\n [-10, -10, -7, 1, -10, -4],\n [-9, -10, -5, 4, 8, 2],\n [-9, -8, 5, 7, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1248", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -1, 1, -4, 4],\n [-9, -10, -7, 0, -7],\n [-8, 2, -2, -2, 0],\n [8, -5, 0, -5, 5],\n [-8, 10, -4, -10, -9],\n [-7, -2, -10, -3, 4]]\nB =\n[[-8, 3, 1, 10, -10],\n [3, 0, 5, -5, 2],\n [-1, 4, -4, -6, -5],\n [2, 5, -9, -5, -8],\n [-1, -10, -3, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2301", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 2, 10, 7],\n [10, 0, 10, -5],\n [9, 1, 6, 0],\n [8, -4, -1, -9],\n [0, 0, -3, 4],\n [-7, 9, -7, -7]]\nB =\n[[-7, -7, 9, 2],\n [8, 10, 9, 3],\n [-2, -7, -5, -9],\n [-5, -9, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -3, -4, 8, 0, 1],\n [1, 3, -2, -8, 3, -9],\n [-5, 2, 3, 5, 3, 9],\n [-8, -3, 3, 6, -10, 9]]\nB =\n[[-6, 2, -6, 4, 10],\n [0, -4, 2, -3, -6],\n [-5, 10, -9, 4, -10],\n [-10, -1, 2, -5, -7],\n [4, 3, -7, 3, -6],\n [4, 3, 1, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -6, -6, 2],\n [8, -3, 7, 7],\n [-3, -7, -3, -2],\n [8, 0, 10, -10],\n [-6, -1, -4, -2]]\nB =\n[[10, -2, 1, 1],\n [7, -10, 3, -2],\n [6, 10, -8, -1],\n [9, 8, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 1, -6, 4, -2, -6],\n [-10, -5, -2, 1, 3, 10],\n [-5, -10, -6, 7, 0, 8],\n [-9, 2, -9, -7, -1, 1]]\nB =\n[[-10, -9, -5, 4, -9, 7],\n [1, 4, 9, 6, 10, -5],\n [6, 4, -2, -1, 5, -1],\n [10, 7, 1, 3, 4, 1],\n [6, -3, 5, -4, -4, -1],\n [-2, 6, 6, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-6, -6, -9, 6],\n [4, 5, -3, -5],\n [-5, 0, -9, -3],\n [-2, -1, 7, 9]]\nB =\n[[4, 3, 1, -10],\n [-1, -7, 1, 3],\n [-9, -4, -10, -3],\n [-6, 4, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-2, -1, -3, -10, -10, 10],\n [6, 8, 6, 6, -10, 10],\n [-4, 4, -10, -6, -4, -1],\n [1, 0, -10, 9, 0, -4],\n [9, 10, 7, 3, 4, 1],\n [4, 3, 1, 1, -6, -3]]\nB =\n[[9, -1, 0, -5],\n [3, -5, 9, 3],\n [-7, 10, 6, -7],\n [-8, -8, -5, 10],\n [10, -7, -7, 2],\n [0, -5, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 5, -4, -2],\n [1, -6, 7, -3],\n [3, -2, 7, 3],\n [6, 1, -10, 4],\n [-3, -3, 1, -5]]\nB =\n[[-5, 5, -10, 4],\n [6, -8, -9, -2],\n [-6, -5, -5, 0],\n [6, 8, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-1, 5, 1, -7],\n [9, 0, 1, 4],\n [-10, -4, 1, 2],\n [10, -5, 9, -1],\n [-10, -4, 1, 7]]\nB =\n[[-3, -3, 7, 6, -5],\n [7, -4, 0, -3, -4],\n [-10, -1, 8, 3, 8],\n [-7, 8, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 2, 0, -5, 6],\n [6, 1, 0, 6, 9],\n [5, 9, -1, 3, 3],\n [-4, 1, -5, 9, -7]]\nB =\n[[0, 8, 2, -1, -1, -1],\n [-2, 1, -3, -3, -3, -1],\n [-2, -7, -4, -4, 7, 8],\n [3, 9, -7, 2, 4, 4],\n [6, 6, 6, -10, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 10, -4, 10, -5, 10],\n [6, -10, 0, -7, 1, -3],\n [-9, -6, -1, 9, 2, -1],\n [9, -4, 2, 2, 7, 0],\n [-5, 7, 6, 8, -7, 5],\n [-3, 1, -9, 7, 0, -1]]\nB =\n[[-6, -10, 0, 7, 7, 7],\n [-4, -8, 0, -10, -7, 4],\n [-4, 2, 4, 4, 7, -10],\n [5, 10, -7, -1, 6, -3],\n [8, -1, 6, -5, 6, -3],\n [-3, -6, -4, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2634", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -6, 3, 0, 10, -9],\n [10, 8, -10, -10, 2, 7],\n [-4, -6, -9, -9, -9, -2],\n [-9, 8, -9, 5, 1, 2],\n [-1, -7, 1, -9, -10, -5]]\nB =\n[[3, -8, -2, -8],\n [-7, -10, 7, -1],\n [2, 2, 1, -9],\n [5, 9, 7, -7],\n [4, 8, 3, -10],\n [4, -6, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -7, -9, -7, -2, -9],\n [4, 8, -10, 6, -5, 2],\n [-4, 1, 2, -10, -3, 3],\n [-6, 7, -2, 0, 6, 8],\n [-1, 10, -1, 1, -10, 4]]\nB =\n[[-5, 8, -1, 10, -8],\n [-1, 5, -9, -2, -8],\n [4, 1, -3, 2, -4],\n [0, -5, 6, -10, -10],\n [7, 3, -3, 6, -10],\n [1, -6, 5, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1315", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -6, -7, -9, 3, 6],\n [-7, 3, 2, -9, -6, -7],\n [-2, 0, -5, 0, -5, -7],\n [6, 2, -6, 0, 9, 4]]\nB =\n[[0, 10, 0, -5, -7],\n [-9, 5, 1, -5, 0],\n [-1, -7, 1, -3, 9],\n [-3, -5, 4, -10, -7],\n [-7, -9, 4, 10, 7],\n [10, -5, -7, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 10, 2, 2, -10],\n [-3, 5, -1, -7, -3],\n [7, 2, 3, 4, 1],\n [0, 5, 2, -1, 3],\n [2, -2, -1, -9, -6],\n [10, 1, 1, 10, 10]]\nB =\n[[1, -3, -3, -2],\n [6, 1, 4, 6],\n [6, -7, 1, -8],\n [4, -1, -8, 9],\n [-5, -2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -4, -1, -7],\n [9, -5, -3, 4],\n [-8, -4, 9, -8],\n [8, 8, -6, 8],\n [0, 5, 1, 9],\n [-6, 8, 7, 9]]\nB =\n[[-1, -7, -1, 2, 10, 5],\n [-6, -6, -7, -1, 9, -5],\n [-1, 1, 3, -5, 0, -5],\n [5, -9, -1, 9, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-8, 5, 2, -5],\n [-7, 5, 8, -4],\n [-1, 6, 0, -7],\n [-10, 1, 9, -5],\n [-5, 5, -10, -3],\n [-3, 10, 1, -2]]\nB =\n[[-1, 0, -3, -3, -5],\n [-1, 6, 6, -8, 5],\n [-4, -5, 2, -6, -5],\n [-5, -3, 10, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -4, 3, -8],\n [7, -5, 6, -8],\n [-4, -3, -5, 3],\n [4, -5, -4, -5],\n [0, -5, 10, 1],\n [-8, 5, -8, -8]]\nB =\n[[4, 1, 8, 3, 7],\n [6, 2, -4, -9, 2],\n [-6, -5, -3, -5, -1],\n [-3, -8, 5, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1290", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -2, 4, -10],\n [-8, 5, -1, 8],\n [9, -3, 9, -5],\n [5, -4, -8, -1],\n [5, -4, -7, 4]]\nB =\n[[3, 5, -1, -8, -2],\n [10, -3, -1, -6, 1],\n [-4, -5, 10, -4, 3],\n [0, -5, 5, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1123", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, -5, 4, -5, 4],\n [7, 4, 4, -2, -6, -8],\n [1, -2, -4, -1, -6, -4],\n [-8, 6, 8, 2, 5, 9],\n [-5, -9, 5, -4, 8, 0],\n [-9, -6, -5, 3, 7, 10]]\nB =\n[[5, 8, -6, -7, 1, -5],\n [10, -1, 1, -2, -1, 9],\n [-4, -2, 0, -4, -3, 0],\n [-3, 0, -2, 2, -7, 8],\n [3, 6, 10, -5, -7, -3],\n [-7, 1, -4, 9, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, -8, -5, 7, -4],\n [-2, 7, -10, 6, -4, 0],\n [9, 1, -7, -8, 1, 6],\n [-8, 1, 7, -10, 6, 7]]\nB =\n[[6, -8, -6, 8, -10, 0],\n [-5, -7, -1, -10, 6, -9],\n [8, 10, 3, 2, 5, 7],\n [8, 3, 9, -7, -3, 7],\n [-10, -5, 5, -7, 7, 3],\n [-5, -5, 9, -2, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1088", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, 6, 8, -5, -4],\n [-6, -6, 6, -7, 8, -5],\n [5, 8, 4, -9, 1, -1],\n [-7, -4, -2, 0, 10, 7],\n [4, 7, -3, -10, 1, 7]]\nB =\n[[10, -5, 6, -9],\n [3, -1, 7, 10],\n [3, 0, -8, 10],\n [1, -3, -6, 0],\n [9, 1, -6, 8],\n [-4, 6, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 7, -10, 0, 3],\n [-9, -7, 0, 0, 8],\n [9, -7, -6, 0, -8],\n [-2, -3, 4, 0, 2],\n [-9, -1, -8, -9, 8],\n [-5, -2, 5, 5, -5]]\nB =\n[[-6, -2, -10, 0, 10, -8],\n [2, -10, 6, 4, 3, 8],\n [5, 1, 0, 5, 8, -3],\n [-7, -10, -10, -9, 4, 5],\n [-9, -8, 0, 9, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 4, 10, 1, -4],\n [-2, -8, 5, -5, 1],\n [-10, -8, -2, -1, -6],\n [3, -6, 7, -7, 3],\n [10, 6, 6, -10, 10],\n [9, 1, 8, -10, -3]]\nB =\n[[-3, -6, -2, 4, -6, -8],\n [4, 7, -4, 10, 5, -7],\n [10, -8, 6, -2, -3, 0],\n [-2, 8, 9, -3, 6, -8],\n [5, 9, 9, 8, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 10, 5, -10, 0, 3],\n [-6, -9, -2, 8, 10, 10],\n [8, 3, 2, -3, -2, 8],\n [-10, -2, 9, 10, 8, 5]]\nB =\n[[-6, 1, 4, -6, -5, 3],\n [-3, 8, 1, 7, -10, 0],\n [4, -8, -9, -3, -4, 5],\n [3, -10, -10, 3, -2, 10],\n [5, 0, 0, 5, -6, -1],\n [-10, -10, 7, 9, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2369", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[0, -3, -5, -4, 4],\n [3, 0, 8, 10, -5],\n [10, -6, 1, 6, 8],\n [3, 0, 8, -9, 4],\n [3, -5, -4, -1, 10]]\nB =\n[[-3, 8, 1, -4, -1, 2],\n [2, 4, -10, 3, 1, 9],\n [-1, 7, 1, -8, -9, 4],\n [-6, 8, 9, 4, -2, 9],\n [6, -4, 5, -5, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-4, 4, -4, 8],\n [7, -3, -4, -6],\n [-1, -7, -10, -2],\n [-4, -10, 4, -10],\n [-6, -4, 6, 3]]\nB =\n[[-1, -2, 1, -9],\n [2, 3, -10, 4],\n [2, -7, 2, -2],\n [-4, -7, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 5, -10, -9],\n [6, 7, -3, -8],\n [-6, -8, -3, 7],\n [5, 3, -2, 10]]\nB =\n[[4, 9, -2, -10, -8, 2],\n [-6, 2, -4, -10, 8, -7],\n [-8, -3, -4, -5, 4, 1],\n [3, -10, 3, 10, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1741", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-2, 7, 8, 6],\n [-9, 6, 7, -2],\n [6, 6, -6, -5],\n [2, -4, -5, 0],\n [8, -4, 2, -8],\n [-3, -8, -4, -1]]\nB =\n[[-5, -1, 3, 4, -7, 1],\n [10, -6, -8, 9, -2, -10],\n [-9, -4, 2, -3, 2, 3],\n [-4, 9, -5, -10, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 6, 7, 7, -5],\n [-7, -1, -3, -4, -1, 3],\n [6, -8, 5, -7, -1, -9],\n [3, 9, -4, -9, -4, 1]]\nB =\n[[-8, 7, 3, 0],\n [5, -3, -3, 2],\n [-9, -8, 0, 6],\n [3, 9, 3, 7],\n [1, 8, -3, -10],\n [-10, -10, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -2, -4, -4, -4, 1],\n [-9, 6, 1, -3, 4, -10],\n [-7, 1, 8, 5, -5, -6],\n [7, -1, -7, -9, 1, 7],\n [-7, 8, 10, 9, -8, -8],\n [-10, 1, -2, 4, -10, 7]]\nB =\n[[2, -3, 6, -9, -9, -5],\n [-6, -10, 7, 7, 3, 8],\n [2, 0, 4, 3, -6, 1],\n [8, -9, -3, 4, -8, 7],\n [7, 10, 0, 6, 5, 0],\n [-3, -4, 8, -6, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2620", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 9, 8, -4],\n [1, -5, -8, 6],\n [-3, -2, -8, 5],\n [-10, 10, -8, 10]]\nB =\n[[-10, -6, 1, -7],\n [8, 7, -10, 5],\n [-8, 10, -6, -4],\n [-1, -5, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1775", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -6, -1, 7, 7, -1],\n [7, 7, -4, 6, -9, -1],\n [5, -2, -8, 4, 6, -3],\n [6, -9, 1, 10, -3, 10]]\nB =\n[[0, 1, 8, 8],\n [1, 7, 9, -3],\n [-1, 0, -2, 2],\n [9, -4, 8, 2],\n [-8, -10, 3, 0],\n [-2, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -4, -8, -1],\n [-8, 9, 3, -8],\n [2, 10, -6, 9],\n [-10, 10, 0, 8],\n [-1, 4, 6, -10],\n [6, 4, 1, -1]]\nB =\n[[3, 5, 6, 5],\n [6, -7, -7, 4],\n [-8, -9, -2, 7],\n [0, 3, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -2, -9, -3, 3],\n [5, -3, -3, -5, 10],\n [-7, -6, 8, 10, -4],\n [-2, -9, 5, 0, 7]]\nB =\n[[2, 6, -9, -3, 5],\n [-5, 2, 2, -6, -5],\n [-3, -7, -8, 3, -8],\n [2, 10, 4, 2, 6],\n [-8, -9, -5, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1232", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[0, -3, 5, 10],\n [-3, 9, 1, 9],\n [8, -2, 6, 0],\n [-10, 4, 10, -9]]\nB =\n[[4, 5, 0, -3, 7, -8],\n [-8, 1, 1, -6, -9, -2],\n [8, -7, -1, 10, 6, 7],\n [9, 5, 2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -5, 0, 3, -5],\n [6, -8, -7, 5, 8],\n [-1, -2, -7, -5, -5],\n [-2, -6, -1, 2, -3],\n [1, -3, -9, -1, 1],\n [-6, 2, -3, 8, 10]]\nB =\n[[-3, 3, -4, 4, 2, 9],\n [-7, -6, -3, 2, 5, -1],\n [9, -1, 7, 7, -5, 3],\n [1, 3, 1, 9, 6, -10],\n [3, 2, -6, 9, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -10, -6],\n [9, 1, 8, -6],\n [3, 10, 10, 7],\n [9, -8, 10, 7],\n [10, 5, -4, 4]]\nB =\n[[4, 7, -2, 1, 0],\n [-9, -6, 4, -3, -9],\n [-1, -1, -5, -3, 9],\n [-3, 7, -8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 8, 10, -3, -2],\n [10, 1, -1, 2, 8],\n [5, 4, -6, 9, 1],\n [1, 4, 3, -1, -9]]\nB =\n[[9, -4, 2, 2, -3],\n [-4, 3, -9, -9, -9],\n [4, -1, -3, -7, -6],\n [-5, 10, 5, 1, -4],\n [-10, 4, 9, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 9, -3, -5, 4],\n [8, 9, 6, 5, 2],\n [-7, 3, 0, -4, -10],\n [4, 4, -1, -8, 0]]\nB =\n[[9, -3, -9, 8, 10, -5],\n [-10, 1, 5, 3, -10, -4],\n [-7, 7, 0, -4, 0, -1],\n [2, 1, -8, 4, -7, 9],\n [-6, -2, 9, 7, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -8, 3, -10],\n [-3, -9, 2, 5],\n [7, -2, -7, -8],\n [8, -6, -7, 6],\n [-7, -7, -4, 8]]\nB =\n[[-5, 5, -4, 3, 2, 8],\n [-2, -5, 1, 5, 7, 7],\n [-2, 7, 5, -3, 5, 7],\n [-9, -2, -7, -7, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-683", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -6, -2, -1],\n [0, 5, 9, 9],\n [-3, -10, -4, -8],\n [5, -5, 10, -6]]\nB =\n[[10, 4, -9, -3, 10, 5],\n [-6, -3, -1, -9, -8, -9],\n [9, 3, -3, 8, 0, -10],\n [-6, -5, -5, 3, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "783", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-4, 4, 4, 0, -1, -5],\n [6, 8, 9, 6, -3, 6],\n [-5, -6, -7, -7, 4, -1],\n [3, 9, 9, -2, -8, 2]]\nB =\n[[-4, -3, -7, 2, -2],\n [-3, 3, -4, 0, -4],\n [6, 4, -8, 0, 2],\n [-1, 8, 5, -7, -4],\n [2, -8, 0, 3, 0],\n [3, 10, -9, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -2, 1, 8],\n [-4, -4, -6, 7],\n [-3, 5, -7, 3],\n [3, 1, 6, -2]]\nB =\n[[-4, -9, 8, -8, -2, 8],\n [-4, 4, -3, 7, -8, 10],\n [-3, -7, 6, -5, 7, -3],\n [10, -8, 10, -2, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1267", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 8, -4, -9, 2, 1],\n [1, 9, -5, -4, 0, 9],\n [3, 7, -8, 8, 9, 3],\n [4, 4, -1, -10, -9, 9]]\nB =\n[[-3, 1, -1, 0, -10, -7],\n [3, -1, 6, 4, -8, 9],\n [-10, 9, 4, -9, 5, -4],\n [1, -9, 3, 3, -4, 2],\n [4, 3, 2, 9, -8, 8],\n [10, 8, 5, -3, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2370", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, 1, -9, -6, -3],\n [-8, -3, -6, -1, 3, -9],\n [-9, 9, -7, 4, -9, 6],\n [-5, -10, 6, -10, 9, -9],\n [-9, 9, 5, -4, -9, 5],\n [-8, 4, 1, 8, -8, 8]]\nB =\n[[9, -10, 4, 2, 0],\n [9, 1, 1, -8, 8],\n [10, 9, -3, 5, 8],\n [-8, -2, -4, 2, -8],\n [5, 7, -10, -6, 10],\n [-3, -8, 1, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 2, 6, 6, 6],\n [9, -10, 8, -3, 0],\n [8, 9, 4, -3, -6],\n [4, -3, 8, 10, 3],\n [2, 6, 0, 8, 9],\n [-2, -7, -5, 6, 9]]\nB =\n[[0, 7, -5, 10, 0],\n [-8, -3, 9, -9, 3],\n [0, 9, -8, 6, -10],\n [2, -3, -3, 1, 0],\n [0, 2, 8, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "762", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 10, 2, 1, 5, 10],\n [4, 6, -3, 0, -6, 1],\n [3, -4, 7, -1, -5, 0],\n [-7, 9, 2, -8, 5, 0]]\nB =\n[[7, -4, 8, -2, 4],\n [10, 0, -9, 8, -8],\n [5, 9, 4, 1, 3],\n [-10, -2, -1, 4, 6],\n [-5, -3, 0, 10, 4],\n [-6, 6, -8, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 10, -10, -3, 6],\n [3, -1, 8, -4, 5],\n [-1, -5, -10, -9, -1],\n [6, 6, 4, 9, 0]]\nB =\n[[-1, 4, -7, -10, 1],\n [1, 6, 7, 8, -2],\n [10, -6, -3, -2, -7],\n [-7, -1, -4, 3, 8],\n [2, -9, -6, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 3, -8, 4, 6],\n [-7, 9, -1, 0, -1],\n [-7, 0, -10, -9, -7],\n [7, 9, -7, 8, 8]]\nB =\n[[-5, 8, 10, -9, 6],\n [8, -8, 5, -8, -9],\n [9, -3, 7, -7, 5],\n [-5, 8, -6, -10, -6],\n [6, -9, 8, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-599", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 10, 4, -1, -2, 6],\n [9, -6, -4, 3, -7, -9],\n [-10, -7, 3, -8, -6, 1],\n [4, 6, 7, 1, 2, 3]]\nB =\n[[10, -6, 7, -9],\n [7, -3, -2, 7],\n [-4, 3, -4, 2],\n [8, 1, -7, 7],\n [-3, 1, 3, -2],\n [-8, 8, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "968", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 5, 1, 8, 6, -2],\n [-4, 3, 6, 3, 10, -9],\n [-6, 2, 1, -3, -5, 1],\n [1, -3, -4, 9, -10, 1]]\nB =\n[[-2, -1, -9, 7],\n [-2, -2, -3, 10],\n [6, -1, -4, 5],\n [-6, -6, -4, -5],\n [-3, 7, 4, 1],\n [9, 3, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 0, 3, 9, 8],\n [8, 9, 1, 0, -4],\n [3, 0, -10, -8, 2],\n [-10, -3, -2, -5, -1],\n [8, 6, -1, -6, 2]]\nB =\n[[0, 3, 9, 4],\n [3, 4, 8, 7],\n [3, 2, -1, -8],\n [4, 0, -10, 10],\n [-10, -4, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1458", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -6, -3, 3, -5],\n [-1, 7, -5, -10, -6],\n [10, 9, -6, -5, -7],\n [2, 1, 7, -4, 8],\n [0, -2, 6, 3, 8]]\nB =\n[[0, -4, 8, 8, -2, 5],\n [6, 2, 5, -2, -2, 4],\n [-10, -8, 8, -7, 6, -9],\n [4, -2, 5, 9, 2, 2],\n [-6, 7, -1, -7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 10, 2, 6, 10, 2],\n [-8, 0, 0, -5, -8, -4],\n [-4, 1, -1, 10, 4, 5],\n [-4, 2, -5, 4, -2, 4],\n [2, 5, 2, 5, -3, -10]]\nB =\n[[-2, 8, -6, 10, 6],\n [4, -8, -4, -4, 5],\n [7, -5, -7, 3, -10],\n [6, 9, -4, 6, 6],\n [2, 5, -10, 0, -3],\n [-5, 8, 7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, 9, -4, -2],\n [-5, -4, 2, -6],\n [-4, 0, 8, 9],\n [-4, 0, 9, 1],\n [0, -9, 2, -9],\n [1, -5, -10, -8]]\nB =\n[[-10, 4, -6, -8, -10, 0],\n [-1, -8, -5, -7, -1, 4],\n [3, 10, -2, 9, 7, 0],\n [-9, -3, -5, -10, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 4, 5, -8],\n [-3, -8, 6, 6],\n [0, 1, 3, 7],\n [0, 6, 8, 9],\n [-2, 6, -1, -3]]\nB =\n[[9, -5, -3, -8, 0],\n [0, 4, 3, -6, 10],\n [6, 5, 8, -3, -5],\n [9, 9, 10, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, -6, 2, -1],\n [-6, 4, -8, -10],\n [-4, -10, 7, 0],\n [0, -3, -7, 9],\n [-2, 3, 0, -5]]\nB =\n[[5, -3, 5, 3, -3],\n [7, -8, -2, 4, 2],\n [-9, -3, 1, -7, 8],\n [-4, 0, -8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[10, -4, 8, 10, 3],\n [9, 4, -4, 1, -10],\n [3, -6, -5, 4, -9],\n [-9, 4, 1, -6, -10]]\nB =\n[[-4, 8, 9, 10],\n [-4, -5, -10, -4],\n [-10, 4, 7, 7],\n [0, -9, -7, 4],\n [-10, 5, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-4, 4, 6, -10, 7, 5],\n [-4, 4, -10, 3, -1, 10],\n [-10, -4, 5, -1, -5, -4],\n [0, -7, -1, 4, -6, -9]]\nB =\n[[7, -7, 0, 7, 8],\n [1, -3, -8, -6, 7],\n [10, 9, -10, -2, 2],\n [0, 10, 8, -6, 6],\n [-3, -1, 1, -5, -3],\n [-7, -7, -9, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -7, 8, 5, -7],\n [-1, -4, -9, -5, 6],\n [-10, 9, 1, 7, 0],\n [6, 1, 5, -4, 10],\n [0, 9, -8, -7, 5]]\nB =\n[[6, -10, -7, -8],\n [-8, 8, -5, 6],\n [-7, -9, -10, -4],\n [10, 4, 0, 0],\n [10, -6, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1581", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-5, -10, 2, 3, -8, -5],\n [10, -4, -8, -6, -2, -10],\n [-5, 3, 5, -5, 10, -7],\n [-10, 5, 5, -10, -1, 1],\n [6, -6, 7, 3, 1, 5]]\nB =\n[[3, 7, 1, -9, 6, 10],\n [1, -10, -2, -7, 8, -9],\n [3, -10, -10, -8, 0, 1],\n [8, 9, -9, -10, -10, -4],\n [-2, 8, 9, 9, 5, -1],\n [8, 6, 7, -10, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 4, -7, -3, 0],\n [-5, -2, 0, -8, 1],\n [-5, -3, -7, -6, 4],\n [-2, 8, -2, 10, 0]]\nB =\n[[-10, 10, 6, -3],\n [0, -5, -5, -5],\n [-3, -1, 8, 1],\n [8, -6, 9, 5],\n [3, 2, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "890", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -1, 0, 10, 3],\n [7, -5, 10, -6, -5],\n [8, 7, 7, -3, -10],\n [-3, -1, 0, -2, 7],\n [10, 0, 5, -5, 3],\n [-10, -6, 1, 0, 2]]\nB =\n[[3, -8, -6, -6],\n [-6, -5, 9, -7],\n [-7, 3, 5, 8],\n [-2, 9, 1, 0],\n [-9, -8, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 6, -2, 4, -4],\n [4, -8, 0, 3, 2],\n [1, 4, -7, -10, -10],\n [1, -4, 8, 7, -9],\n [7, 7, 9, 2, 6],\n [4, 7, 2, -5, 10]]\nB =\n[[0, -4, -4, -1, -5, -4],\n [6, -5, -6, -9, 2, -4],\n [-10, -1, 0, -7, 9, -4],\n [-1, -4, -7, 3, -3, -1],\n [3, -3, 8, -2, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2014", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, 3, -9],\n [6, -8, -7, -5],\n [-3, 1, 5, 6],\n [6, 8, 9, -1],\n [-5, 0, 4, 7]]\nB =\n[[1, -1, -4, 4, 6, 1],\n [-5, -2, 6, 6, 10, 5],\n [-10, -9, 4, 7, -5, -5],\n [-3, 3, -2, -1, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 1, 6, 10, -10],\n [-1, 6, 2, 6, -6],\n [3, 5, -3, -5, 9],\n [-7, -6, 1, 10, 7]]\nB =\n[[-3, -5, -6, -5],\n [-3, 0, -9, 6],\n [-7, 8, 8, -2],\n [1, 6, 0, 0],\n [-8, 10, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 10, -10, 8, -7],\n [-4, -6, 5, -4, 9],\n [9, 7, 3, -2, 1],\n [7, 0, 3, 4, 10],\n [9, -6, 0, 7, 8]]\nB =\n[[-10, -9, 1, -1, -5, -5],\n [-5, 6, -10, 7, -1, -7],\n [5, -1, -3, 7, 8, -5],\n [-2, 2, -8, -7, 10, -8],\n [-5, -4, 5, 3, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-741", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -4, 4, 4],\n [-10, -8, -7, -3],\n [3, 4, 6, -10],\n [6, -5, 0, 2]]\nB =\n[[-8, 5, 10, -1, 4],\n [0, -7, 3, -2, 10],\n [-8, 5, 2, 9, -7],\n [0, -5, -2, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1289", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, 7, 5],\n [7, 7, -7, 10],\n [-4, 1, -4, 6],\n [1, 0, -4, -5],\n [5, -10, 8, 10]]\nB =\n[[-6, 2, 3, -3],\n [8, -6, -6, 4],\n [3, -8, -5, -2],\n [5, 2, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "704", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, 8, 10],\n [-10, -5, -7, 10],\n [4, -2, -8, 7],\n [8, 3, 8, 4],\n [-3, -4, -6, 9],\n [-3, -1, 7, 7]]\nB =\n[[1, -3, 3, 0],\n [-9, 2, -10, -2],\n [-8, 3, -5, 10],\n [-7, -8, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1064", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -10, 0, -5, 5, -5],\n [-5, 8, -5, 3, -9, 8],\n [8, -8, -2, -7, -3, -8],\n [-7, 7, 4, 4, 10, -4],\n [-6, -5, 7, 8, 7, 4]]\nB =\n[[-9, 5, 7, -2, 0],\n [8, 1, 10, 4, 8],\n [4, -5, -4, -5, 5],\n [-8, 7, 7, -3, 1],\n [-7, -6, -5, -6, 5],\n [-6, 6, -4, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, -2, 5, -5, -7],\n [3, 0, -5, -10, -2],\n [0, 3, -8, 5, -2],\n [-7, 5, 0, -9, 7],\n [-8, -5, -7, 10, 5]]\nB =\n[[-2, -1, 10, -9, -1, -9],\n [-8, -2, 3, -7, -3, -10],\n [0, 9, -1, 7, -10, -8],\n [-5, 0, 1, 5, 8, 6],\n [6, 5, -5, 5, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -5, 3, -1, -3],\n [0, -2, 10, -9, -2],\n [6, -4, -7, -10, -5],\n [3, 0, -8, -4, -7]]\nB =\n[[-5, 2, -7, 9, 10],\n [-4, -6, -8, -4, -5],\n [-10, -8, 6, 8, 3],\n [-9, 7, 3, 10, -2],\n [2, 6, 0, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1090", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -9, 7, 7],\n [4, 6, 10, -10],\n [4, 10, 6, -5],\n [5, -5, -4, 2],\n [4, 2, 1, -7]]\nB =\n[[-3, -8, 5, -1, 5, -3],\n [-4, 0, -10, -2, 3, 8],\n [9, 3, 4, -9, -7, 8],\n [-10, 5, 0, 10, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1946", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -8, 8, -3, -10, 2],\n [9, 7, 9, 6, -9, 5],\n [-1, -7, 5, -5, -7, 3],\n [7, 6, -10, 6, 8, -10],\n [-8, 8, 0, -8, 5, 4]]\nB =\n[[6, -2, -1, -2, 0],\n [3, -7, -1, 5, -5],\n [4, -9, -10, 10, -2],\n [1, -9, -10, -2, 0],\n [2, 2, -5, -1, -3],\n [1, -8, 9, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -8, 7, -3, 0, 6],\n [8, 0, 1, -4, 7, -6],\n [-6, -4, 2, -9, -3, -8],\n [-8, 5, 4, 8, 7, 8],\n [-10, 6, -8, -6, 0, 4],\n [7, -10, -9, 3, -2, 10]]\nB =\n[[-8, -7, -3, -5],\n [-4, 9, 6, 4],\n [1, -10, 1, 10],\n [8, 7, 2, -9],\n [-9, -9, 8, -7],\n [-3, 6, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -7, -2, 8, -10, 0],\n [-5, 6, 10, 7, 8, -4],\n [7, -8, -9, 8, 2, 4],\n [-4, -7, 3, 0, -6, 4],\n [7, -3, -9, -10, -4, 4]]\nB =\n[[-5, -10, -10, -6, -7],\n [-3, -10, 10, -3, 10],\n [2, 7, 7, -10, 8],\n [1, -4, 4, 4, -3],\n [10, -10, 7, -10, 6],\n [-7, -1, -2, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, -5, 3, -5],\n [8, 1, 9, -10, -4],\n [-8, -6, -4, 8, -8],\n [7, -9, 8, -9, -9],\n [-1, -5, 6, -4, 7],\n [7, -5, -1, -7, 3]]\nB =\n[[6, -7, -2, 9],\n [10, 9, 10, 0],\n [7, -5, -8, -10],\n [7, -1, 5, 2],\n [-7, -4, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-886", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -3, -10, -8, 4],\n [-3, -8, -2, -10, -5],\n [-9, 2, 3, -10, 3],\n [0, -3, 1, 6, 6]]\nB =\n[[-6, -6, 8, 0, 5, 8],\n [9, -2, 3, 7, 10, -3],\n [1, -10, 2, -1, -3, 4],\n [-1, 0, -5, 5, 7, 2],\n [5, -4, -5, -9, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 4, 9, 9],\n [-1, -6, -10, -2],\n [0, -4, -9, -9],\n [-8, -9, 2, 4],\n [0, -3, -1, -10],\n [-9, 0, -7, -3]]\nB =\n[[6, -3, -5, -9],\n [-9, -9, -7, -10],\n [-3, -1, -4, -1],\n [4, 3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1431", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -3, 7, -3, -2, -10],\n [5, -2, -7, -9, -9, 1],\n [9, 0, -8, 0, -8, 7],\n [-2, -3, 2, 2, 8, -8]]\nB =\n[[10, -10, 10, 8, -2],\n [-9, -9, -7, -9, 10],\n [-7, 10, -9, -3, -4],\n [-2, 1, -9, 9, -2],\n [4, 0, -4, 6, -9],\n [4, 6, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "461", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -5, 2, -10],\n [10, -6, 10, -7],\n [-4, -9, -5, 2],\n [-9, 4, -3, 10]]\nB =\n[[-10, -1, 2, -4, -10],\n [10, 7, 6, -9, -2],\n [9, 2, -8, 0, 1],\n [-7, 3, -6, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1127", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -4, 4, 2, 8, -5],\n [-6, -8, -4, -10, -4, 6],\n [8, 3, -10, 5, 5, -5],\n [-1, 3, 3, 8, -6, -8]]\nB =\n[[1, -10, -2, 10],\n [3, 7, -1, -9],\n [9, -10, -6, -8],\n [-4, -10, -6, 5],\n [1, -10, 9, 7],\n [9, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, 9, -5],\n [9, -2, -10, 5],\n [-1, 3, 4, -6],\n [-1, 6, 7, -8],\n [1, 9, -9, -5]]\nB =\n[[-5, 4, 4, -9],\n [2, 6, 0, 8],\n [10, 1, 10, -9],\n [-9, 4, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "514", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 5, -4],\n [-3, 10, 3, -4],\n [0, 6, 9, -4],\n [-5, 6, 3, -3]]\nB =\n[[-3, 5, 9, -6],\n [-4, -5, 4, 2],\n [4, 7, 8, -10],\n [9, 8, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 0, -7, 7, 6],\n [9, -8, -1, 6, 6],\n [4, -8, 0, 8, -10],\n [0, -9, -8, 4, -2],\n [-8, 3, 9, 10, 4]]\nB =\n[[6, 3, -6, -2, 0, 10],\n [3, 6, 0, -6, -4, -7],\n [-1, 4, -10, 8, -4, 5],\n [-6, 2, 9, -5, 1, 0],\n [-1, -4, -9, 0, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1664", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 0, 4, -9, -10, -7],\n [8, 2, -9, 5, 7, 7],\n [10, 2, 1, -8, 4, 0],\n [-9, -6, 6, -6, -10, -1]]\nB =\n[[-2, -8, -3, -9, 10],\n [9, 7, 8, 0, 7],\n [6, -4, 5, 7, -5],\n [3, -2, 0, -10, -2],\n [-4, -5, -3, 7, 10],\n [-7, -6, 9, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, -1, 7, 5, -7],\n [-10, 8, -8, 8, 10],\n [-5, -5, -8, 4, -10],\n [-10, 7, 3, 10, 1]]\nB =\n[[-7, 10, -3, -4],\n [3, -3, -4, 5],\n [10, -9, 10, 6],\n [-5, -4, 4, 9],\n [8, -6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -10, -1, 5],\n [3, 7, -9, 7],\n [9, -3, -9, 0],\n [-9, 9, 2, 4],\n [8, -6, 9, 5],\n [0, -1, 1, -8]]\nB =\n[[1, 5, -4, -4],\n [-4, 7, 4, 6],\n [8, 7, -2, -2],\n [-9, 10, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 3, -2, 5],\n [7, 1, -7, -5],\n [-10, -5, -5, 9],\n [2, -5, 0, 10],\n [7, -8, 4, 6],\n [-5, 9, -7, 6]]\nB =\n[[4, -10, 10, -2, -8, -4],\n [4, 7, -7, -9, -4, -1],\n [7, -5, 8, -1, 1, -3],\n [7, -4, -6, -5, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-3, -4, 6, -1],\n [5, 2, -3, -4],\n [8, 8, -6, -8],\n [-4, -6, -1, -10]]\nB =\n[[-8, -10, -7, -2, -8, 3],\n [3, -4, -10, -5, 3, 10],\n [-7, 5, 4, -6, 7, -6],\n [5, 10, -5, 4, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -6, 7, 7],\n [-4, -6, 7, 0],\n [9, 1, -4, 4],\n [-9, 10, -1, -5],\n [-1, 8, 1, -4]]\nB =\n[[-6, 0, -10, -5],\n [4, 7, -1, 4],\n [9, 1, 5, -7],\n [-2, 9, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 5, 5, 4],\n [-3, 10, -3, 2],\n [1, 0, -3, 0],\n [-3, 9, -1, 10],\n [-3, -10, -8, 0]]\nB =\n[[-10, -6, 9, 3, -6],\n [6, 4, 2, 10, 9],\n [10, -4, -6, 6, 6],\n [4, -2, -3, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "424", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -9, -8, 1],\n [1, -9, -7, 5],\n [-7, 0, 2, -4],\n [0, 1, -1, -6]]\nB =\n[[9, 3, 10, 0, 2],\n [0, -3, 3, 0, -2],\n [-1, 3, -9, 9, -2],\n [7, 1, 6, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 6, 10, 0],\n [-5, -1, 5, 1],\n [7, 5, 2, 0],\n [4, -2, 1, -8],\n [10, 3, 7, 1],\n [3, -7, -7, 9]]\nB =\n[[10, 3, 0, -1],\n [0, -8, 3, 9],\n [3, -4, 0, -10],\n [7, -7, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1057", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -9, 8],\n [4, -1, 5, 6],\n [-6, -3, 10, 10],\n [8, -4, 0, -7]]\nB =\n[[-3, -8, 10, -3],\n [4, 3, -5, -9],\n [9, -8, 4, 0],\n [-4, -4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1078", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 0, 0, 6, -8],\n [-8, -3, -2, 10, 6],\n [-3, 6, -8, 7, -1],\n [-1, -6, -5, -6, 5],\n [6, 8, -9, -7, -5],\n [2, -6, -3, 9, -8]]\nB =\n[[6, 9, -4, 1, -9],\n [-3, 7, 4, -8, -4],\n [-4, 6, -8, -7, -9],\n [3, 2, 1, 3, 7],\n [-4, 2, -9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, 7, 7, 7, 6],\n [4, -1, -5, 3, -8, 10],\n [-2, -9, 6, 6, -2, -2],\n [1, -7, 10, -7, -3, 6],\n [-10, 5, 3, 2, -5, -6],\n [-4, 4, -1, -9, 9, 3]]\nB =\n[[0, 5, 1, 3, -4],\n [-10, 5, -2, -5, -2],\n [5, -8, -5, -10, -10],\n [-9, 0, 5, -9, -7],\n [10, 8, -6, 10, -1],\n [-8, 9, 4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2394", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 8, -6, -4, -4, 10],\n [1, -7, -4, 0, -7, -9],\n [6, -4, -3, -4, 1, 9],\n [8, 1, 3, 4, 7, 2],\n [-5, 10, 3, 9, -4, 1]]\nB =\n[[-4, 2, -4, -7],\n [-8, 8, 3, -7],\n [8, 0, -7, 3],\n [-6, -8, -4, 10],\n [8, 5, -7, 4],\n [7, -7, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-326", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-3, 6, 4, -10],\n [1, 7, 0, -6],\n [10, -5, 2, 6],\n [4, 5, -6, -3],\n [10, -7, 9, -3]]\nB =\n[[-3, -5, 6, -2, 9, 6],\n [10, -9, -6, 9, 3, -7],\n [0, -8, 6, -9, -10, -1],\n [-5, 0, -1, -10, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 7, 2, -2, -6, 1],\n [3, 0, 4, -1, -6, 6],\n [-9, -2, 3, -4, -1, 9],\n [8, -6, 10, 4, 7, -4],\n [3, 6, -10, -1, 0, -7]]\nB =\n[[4, -7, -6, -1, -9],\n [6, 0, 7, 5, 6],\n [0, 4, 10, -6, 2],\n [-8, 10, -3, -2, -4],\n [-1, 9, -7, 6, -10],\n [-5, -3, -7, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1488", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, 2, 6, 0],\n [9, 2, 7, 7, 7],\n [1, 0, -10, -2, 8],\n [3, 3, 5, 1, 3]]\nB =\n[[-4, 2, -5, -3, 4],\n [-7, 4, 6, 4, 2],\n [9, 0, -7, -8, -2],\n [1, -8, -7, 6, 5],\n [-3, 2, -4, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 3, -3, 5, -10, -3],\n [10, 8, -3, -10, 1, 7],\n [3, -9, -8, -8, 2, 3],\n [-5, 0, 9, -4, 8, -6]]\nB =\n[[-8, -2, 5, 1, 3, -4],\n [-4, -3, 0, -4, 4, 6],\n [4, -5, -7, 7, 5, -3],\n [-3, -6, 0, 0, -7, 0],\n [10, -9, 7, 6, 0, -3],\n [-8, -7, -5, 2, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[7, 5, 1, -3],\n [-2, 2, 1, -9],\n [-7, 3, 5, 0],\n [-7, -8, 9, -7]]\nB =\n[[5, -8, 4, -6, -3],\n [3, 2, -7, 7, 3],\n [-2, 5, -5, 3, 6],\n [-7, -3, 5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 9, -8, -4],\n [4, -6, -10, 6],\n [7, -7, 10, -8],\n [4, 0, 8, 0],\n [-4, 5, 9, 8],\n [-10, 4, 8, -4]]\nB =\n[[-9, 8, 4, -6, 7, -7],\n [1, -7, -3, -7, -10, 0],\n [-6, -2, 2, -7, 8, -9],\n [6, -3, -2, 7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -6, -4, 10, 10, 5],\n [2, 9, -10, -7, -4, -3],\n [6, 4, -3, -9, -2, 0],\n [-3, -3, 4, -1, -3, 5]]\nB =\n[[-4, -5, -9, -6, 5, 2],\n [-5, -8, -10, 2, -1, -9],\n [-8, 5, -4, 2, -2, -4],\n [-3, 7, 2, -5, -4, 8],\n [-3, 9, 4, -8, 6, -7],\n [-8, -3, -6, -6, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1749", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 4, -3, 6],\n [0, -4, 0, 6],\n [-5, 0, -8, -9],\n [-7, -5, 9, -2],\n [-4, -7, -10, 5]]\nB =\n[[9, 2, -8, 9],\n [3, -3, 6, -2],\n [5, -2, 1, 4],\n [9, 8, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -8, 8, -4],\n [1, 0, 1, -4],\n [3, -9, 2, -8],\n [2, 7, 1, 1]]\nB =\n[[8, -3, -3, 1, 0],\n [7, -10, 7, 3, 6],\n [3, 0, -3, 3, -4],\n [-4, -7, -4, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "864", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 10, 2, 3],\n [3, -2, 6, -6],\n [-7, 2, 8, 6],\n [-5, 1, 6, 1]]\nB =\n[[-3, 9, -9, -4, -10],\n [8, -9, -6, -9, -2],\n [-7, -9, 5, -7, -2],\n [0, 0, -2, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1277", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, -4, -9, 10, 2],\n [-8, -5, 8, 10, -6, -9],\n [-2, 7, 1, -9, 3, 6],\n [1, 2, -4, 4, 1, -3],\n [-7, 8, -9, 10, -5, 10],\n [-9, -1, -10, 10, 10, 9]]\nB =\n[[10, -8, -3, -8],\n [-3, -6, -7, -2],\n [-4, 5, 0, 7],\n [-8, -5, 9, -5],\n [1, 4, 9, 10],\n [5, -4, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 8, -7],\n [-5, -6, -9, 7],\n [-1, -7, 5, -1],\n [6, -1, 10, -8]]\nB =\n[[9, 5, -3, 9, -5, 6],\n [5, -3, 3, 2, -2, -7],\n [-9, 5, 9, -3, 1, -5],\n [8, -7, -7, 6, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, 10, 6, 7, 9],\n [-8, -6, 4, -5, 9, -7],\n [2, 5, -3, 5, -4, -3],\n [10, 9, 6, -8, 6, -1],\n [1, -5, -7, 2, -2, 9],\n [7, 7, -6, -5, -7, 4]]\nB =\n[[-9, 10, 3, -8],\n [6, 9, 2, 5],\n [4, -8, 0, -9],\n [1, 10, -7, -1],\n [-10, -10, -3, 3],\n [-8, -2, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1826", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 0, 5, -10, 7],\n [6, 5, -1, 0, 9],\n [-7, 4, 8, 7, -4],\n [8, 1, 6, -3, -6],\n [9, 0, 0, -9, 2],\n [3, 5, -7, -5, -6]]\nB =\n[[0, 1, -9, -3, -1, 4],\n [2, -9, 8, 2, -1, 10],\n [2, -2, 5, -2, -7, 10],\n [8, 2, 3, 1, -6, 4],\n [8, -1, 3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 7, 3],\n [5, 10, 7, 8],\n [-6, -10, 7, -1],\n [7, 3, -5, 4],\n [2, 2, -4, 4]]\nB =\n[[-10, -1, 9, 8, 0],\n [7, 5, 7, -8, 4],\n [5, 2, 1, -1, 1],\n [5, 0, -5, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1224", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 3, 6, 4, 2, 3],\n [1, 1, -7, 4, 5, -6],\n [9, 10, -7, -5, 4, 3],\n [-7, 7, -7, -5, 4, -7],\n [5, -5, 0, 8, 2, 7]]\nB =\n[[-4, -10, 6, 0, 1, -9],\n [0, 8, -4, 4, -10, -8],\n [-5, -2, 8, 2, -10, 0],\n [-3, 0, -2, -9, 5, 3],\n [-5, -4, -1, 9, 3, -4],\n [-3, 4, -7, -10, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 3, -10, 4, 9],\n [-9, -9, 4, 1, 5],\n [1, -10, 4, 8, 4],\n [-4, -1, 7, 0, 1],\n [5, -8, 10, 4, -3]]\nB =\n[[-5, -7, 8, -7, 1],\n [4, -3, 7, 3, -10],\n [-7, -6, 6, 6, -5],\n [4, 1, -6, 3, 10],\n [-5, 7, 6, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -5, 9, 8, 9],\n [-7, -3, -1, 3, -8],\n [0, -3, 9, 7, -1],\n [-10, 0, 4, -9, 5],\n [4, -5, 6, -7, -7],\n [8, 4, -9, -1, -9]]\nB =\n[[7, 8, -7, 8, -10, 6],\n [1, 2, -6, 7, -7, -3],\n [-1, -10, 7, -3, -5, 0],\n [-1, 1, -1, -5, 1, -6],\n [6, -2, 9, 7, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 7, -9, 0],\n [7, -7, 10, 10],\n [-3, -1, -9, -9],\n [2, -5, 6, 2],\n [-1, -7, 8, 0]]\nB =\n[[-9, 9, -2, 1, -8, -9],\n [-10, -10, 2, -1, 7, 10],\n [5, 7, 10, -10, -7, -5],\n [-10, 6, -5, 8, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 1, -9, -8, -9],\n [-6, 6, 10, -5, 2],\n [4, 3, 7, -3, 6],\n [0, -8, 4, 2, -7],\n [3, 2, -3, 5, -7],\n [-7, 8, -8, -8, -3]]\nB =\n[[4, -5, -2, -9, -3],\n [-9, 9, -8, 9, 10],\n [6, -7, -4, 2, 9],\n [10, 9, 7, -3, 6],\n [-1, 9, 6, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-724", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 6, -5, -4],\n [8, 7, 1, 2],\n [5, 6, 4, 0],\n [0, -9, -6, -10],\n [6, 10, -7, 7],\n [-2, 3, 4, -10]]\nB =\n[[-2, 5, 9, 4, -6],\n [-7, -8, -7, 4, -7],\n [-8, 3, 4, 4, 5],\n [9, -6, 8, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 0, 4, -3, 5, -10],\n [1, 2, 2, -8, -7, -4],\n [3, -7, 2, -5, -5, -7],\n [10, -8, 2, -7, -10, -8]]\nB =\n[[4, 6, 5, -8, -10],\n [7, -6, 8, 3, 10],\n [6, -10, 7, 2, 3],\n [4, 5, -9, -4, 5],\n [8, 8, 0, -8, -10],\n [0, -5, 3, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-9, 1, 6, -10, -4, -6],\n [-2, 4, -9, -3, -3, -8],\n [5, -3, -3, -8, 2, 7],\n [-6, -10, 0, -6, -4, 0],\n [-6, -5, 0, 1, -3, -1],\n [-6, 10, -10, -8, 6, -2]]\nB =\n[[-9, -8, 10, 8, 1, 1],\n [-8, 6, 10, 9, 10, 1],\n [-2, -3, 8, -1, 9, 6],\n [-3, -4, 1, 6, -3, 7],\n [-2, 9, 5, -9, -9, 7],\n [8, 2, 7, -8, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 7, 2, -3, 2, -2],\n [1, -9, 1, 2, 3, 2],\n [6, -6, -10, 0, -5, 5],\n [10, -10, 10, -3, 4, -7],\n [-3, 3, 7, 3, 3, 9],\n [-6, 10, 7, -2, 1, -8]]\nB =\n[[0, 7, -10, 2, -3],\n [-3, -9, 6, 6, -5],\n [-5, -9, -7, -5, 5],\n [-7, -5, 2, 10, 10],\n [10, 3, -1, -7, 0],\n [7, -7, 9, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -3, 4, 3, -6, -10],\n [-1, 5, 2, 7, 1, -4],\n [-8, 6, -6, 4, 6, 4],\n [1, 9, 7, 3, -10, -9]]\nB =\n[[1, -8, -1, -6],\n [8, 6, -8, 7],\n [4, 9, 9, 10],\n [6, 9, 7, -8],\n [8, 9, -10, 2],\n [4, -1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[9, 5, 2, -5],\n [7, 4, 9, 8],\n [-3, 2, -7, 3],\n [-2, -9, 3, -2]]\nB =\n[[-9, 9, -2, -3],\n [4, 6, 5, -5],\n [-7, -6, -5, 10],\n [2, -2, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 6, 10, 4],\n [-5, -9, -10, -3],\n [-3, 1, -7, -6],\n [-2, -3, -3, -5]]\nB =\n[[-2, -3, -4, 10, -5, 6],\n [4, -1, 7, 5, 8, 5],\n [-10, -2, 5, -3, 10, -9],\n [-2, -7, -9, -6, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -8, -8, 5],\n [6, -1, 1, 10],\n [0, 4, -6, 3],\n [-5, -4, 3, 4],\n [4, -2, 0, -7],\n [-4, 0, -7, 1]]\nB =\n[[8, 2, -5, 7, 5],\n [8, 1, 8, 0, 7],\n [-3, -10, 7, 10, -9],\n [-7, 2, 5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -10, 10, 2, -3],\n [-1, 1, 0, -6, 8],\n [-4, -10, -3, -5, 0],\n [4, 9, -4, -1, 7]]\nB =\n[[5, -7, 7, -3, 8],\n [-5, 3, -2, -6, 3],\n [1, -1, 5, -5, 0],\n [-7, 0, 10, 7, 1],\n [7, -8, 6, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, -7, 9, -9],\n [-5, 6, -2, -3, 8],\n [6, 8, -2, 4, 5],\n [5, -5, -6, 3, 5]]\nB =\n[[-3, -3, -8, 0, 6],\n [0, -5, -2, -4, 8],\n [1, 8, -5, -7, 10],\n [-2, -6, 3, 0, 2],\n [-6, 5, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1095", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 9, -5, 1],\n [3, 0, 8, 9],\n [-7, -7, -6, -5],\n [4, -3, 6, 7]]\nB =\n[[1, 9, -9, -2],\n [-6, -3, -6, 2],\n [1, -2, 0, -4],\n [-7, -5, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, -3, -1, 7, -4],\n [-9, 4, 6, 7, -8, -1],\n [-10, 3, -2, -9, -6, 2],\n [9, -5, 2, 9, 0, 0]]\nB =\n[[4, -7, 0, 5],\n [4, 2, 6, -10],\n [1, 1, 4, -2],\n [-10, -3, -3, -2],\n [-2, 0, 8, 3],\n [-4, -6, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, -10, 3, 1],\n [7, -1, -7, -9, -4],\n [0, -4, 0, 6, 2],\n [-7, 9, -9, -8, 5],\n [2, -2, 6, 8, 3]]\nB =\n[[0, -7, 10, 6, 6],\n [9, 4, 2, -6, 9],\n [9, 3, 6, -10, 7],\n [-2, -4, 6, 6, 10],\n [-8, -2, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, -6, -3, -3],\n [0, -8, -1, 1, -4],\n [-4, 6, 1, -9, -7],\n [9, 0, 6, -6, -5],\n [-5, 1, -4, 9, 9],\n [-6, 4, 8, -4, -9]]\nB =\n[[-2, -2, 2, -8],\n [1, 1, 8, 9],\n [-1, -8, 9, 4],\n [7, 5, 10, -9],\n [-5, 9, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, 2, 2],\n [-7, 5, 3, 10],\n [0, 0, 3, 7],\n [10, 1, 10, -3],\n [9, -8, -4, 10]]\nB =\n[[-1, -2, 5, 7],\n [4, 3, 10, 6],\n [0, -3, -8, -4],\n [5, 7, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -7, 6, 7, -1, 8],\n [4, -1, 8, -10, 0, -9],\n [5, 10, 5, -7, -1, 8],\n [-7, -8, 3, 5, -7, -7]]\nB =\n[[8, 5, 3, 0, 2],\n [3, 10, 4, -6, 4],\n [-3, -8, 6, -10, -3],\n [8, -2, 6, -6, 10],\n [5, -10, 10, -5, -8],\n [-9, 9, -6, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-512", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 10, -1, -9],\n [6, -5, 9, -4],\n [9, -8, 0, 7],\n [6, -5, 9, -7]]\nB =\n[[8, 0, -9, 6, 8, -3],\n [-6, -10, 4, -4, -2, -2],\n [9, -2, 5, 4, -2, -2],\n [7, 9, 3, -1, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1739", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-5, 3, -2, -6, 1],\n [8, 0, -2, -7, 4],\n [5, 3, -4, -4, 7],\n [7, -10, -9, 1, -1]]\nB =\n[[-1, 9, 9, -6],\n [7, -7, 0, 6],\n [1, -1, 1, -8],\n [3, -6, -7, 8],\n [10, -1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -1, 3, 8, 8, 6],\n [-5, -7, -2, -6, 7, 10],\n [8, 2, 0, 8, 0, 3],\n [-2, -3, 3, 0, -2, -4]]\nB =\n[[-1, 6, 8, 10, 7, 7],\n [7, 8, 10, 9, 4, 3],\n [-4, 9, 8, 8, 0, 7],\n [10, -8, 8, -5, 9, 8],\n [5, -4, 8, -9, 4, 10],\n [2, 6, 7, 1, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -6, -1, 9, -1],\n [0, -10, -8, -4, 5],\n [3, -2, -3, -3, -5],\n [-9, -5, 4, 0, 2],\n [-7, -7, -6, -7, 0]]\nB =\n[[-9, 9, -6, -3, -6],\n [8, -3, 1, -2, 10],\n [0, -6, 0, -4, 1],\n [-8, -3, 2, 6, -2],\n [10, 8, -4, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[2, -7, -9, 2],\n [-7, 3, 5, 8],\n [-2, -7, 8, -6],\n [-7, 2, 9, 7],\n [0, 5, 9, -4]]\nB =\n[[4, -5, -7, 6, 4],\n [-5, 10, -4, -1, 1],\n [5, -3, 8, -1, 2],\n [-8, 6, -3, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 10, -10, 6],\n [-9, -4, -7, -2],\n [-9, 7, 7, -6],\n [8, 3, -9, 9],\n [7, -8, 5, -9],\n [5, -9, -10, 5]]\nB =\n[[-9, 7, -5, 9],\n [3, 5, -4, 8],\n [-3, -9, 3, -1],\n [-5, 1, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2008", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -2, -1, -6],\n [-2, -7, 6, -9],\n [1, 8, 5, -9],\n [-9, 2, -8, -10]]\nB =\n[[-6, -7, -7, 10],\n [-1, -6, -9, 9],\n [5, -7, 1, 2],\n [2, -1, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, 4, -8, 1],\n [-7, 1, 4, -2],\n [6, -5, -8, -10],\n [2, -4, -2, -6],\n [-7, 6, 1, -8],\n [9, 4, 3, 7]]\nB =\n[[3, -6, -3, 2, 10, 8],\n [1, -10, -2, 2, -9, 7],\n [2, 0, -2, -4, -4, -1],\n [-6, -9, 3, 5, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -7, 10, 3],\n [-1, -9, 1, -6],\n [4, -2, 9, 3],\n [10, 0, -2, -5],\n [-9, 8, -6, 0]]\nB =\n[[1, 3, 7, -10, 9],\n [0, -6, 0, 10, -5],\n [3, -8, -9, -1, 0],\n [1, 2, 10, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 0, -8, 6, 9],\n [10, -9, -5, -4, -2],\n [-1, 8, 6, 3, -4],\n [-8, 1, 4, -6, -9],\n [8, -4, -10, 0, 0],\n [10, -1, -9, 1, 1]]\nB =\n[[8, -5, 7, 8, -2, 2],\n [-10, 2, 3, 5, 7, -10],\n [-3, -8, -3, 10, -8, -1],\n [-1, 3, -7, -2, -1, 5],\n [1, 1, -8, 7, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -10, -3, -8, -6],\n [-2, -4, 1, -3, -6],\n [4, -7, 1, 5, -4],\n [-5, 9, 8, -3, 0]]\nB =\n[[-6, -3, 3, 5],\n [-4, 5, 8, 7],\n [3, 1, 8, 7],\n [9, -8, -7, 4],\n [-2, -6, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "820", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -9, 10, -9],\n [10, 2, -7, 5, 1],\n [5, -9, 9, 10, 2],\n [-6, -6, -9, -10, -10]]\nB =\n[[-7, -8, -4, -9],\n [-1, -1, 5, -3],\n [2, -5, 5, 6],\n [-8, -4, -9, 5],\n [-8, 10, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-924", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, -8, 8, 2, -8],\n [-5, -9, -10, 0, -3, 9],\n [-3, 3, -7, 6, 5, 7],\n [5, 9, 2, -7, -6, -1],\n [6, 10, 0, -3, 6, -6],\n [7, -2, 4, -7, -9, -7]]\nB =\n[[10, -7, 9, -3, -7, -2],\n [-2, -8, -3, 6, 1, 0],\n [8, 0, 4, 5, -10, 6],\n [2, -4, -1, 3, 9, -5],\n [4, -3, 6, 3, 5, -1],\n [3, 0, -10, -10, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2893", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, 3, -8, 2],\n [-9, -3, 0, 5, 1],\n [0, 5, 7, 0, 10],\n [9, 6, 1, 0, -4],\n [-7, -5, 8, 2, -6]]\nB =\n[[7, -1, -5, 9, -10],\n [8, 9, 9, -6, 1],\n [-3, 0, 0, -5, -9],\n [9, -9, -5, 0, 10],\n [-6, -2, 6, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 10, -3, -5, 8],\n [-10, 6, -1, -1, -3],\n [8, 2, -3, -6, -7],\n [4, -8, 4, -3, 2]]\nB =\n[[6, 8, 9, 7],\n [-9, 9, -10, -1],\n [9, 8, 10, -5],\n [6, -10, 2, 3],\n [2, -7, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, -1, 10, -2],\n [-6, 0, 3, 7, 6],\n [-8, 5, -5, 9, 4],\n [-6, -8, 7, -9, -2],\n [3, -9, 10, 7, -3]]\nB =\n[[3, 8, 5, 0, 6],\n [3, -2, 2, 5, 7],\n [5, 8, 1, 9, 0],\n [-5, 7, 1, 0, 0],\n [10, -6, 10, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-9, -2, 4, 2, -5, -7],\n [7, -7, 0, 1, 3, -10],\n [2, 8, -4, 1, 4, -4],\n [8, -2, -6, 7, -10, -3],\n [-7, 0, 4, 8, -5, 5],\n [8, 9, -3, 9, 3, 0]]\nB =\n[[-8, -6, 0, 8],\n [-10, 3, 1, -10],\n [-9, 10, 0, -4],\n [-1, 3, -2, 6],\n [9, -4, 9, -3],\n [-2, 8, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -2, 3, -2, 9, 8],\n [5, -3, -4, -8, -3, -8],\n [-9, 4, 9, -6, -3, 9],\n [10, -1, -6, -3, 9, 8]]\nB =\n[[-3, 5, 3, 0, -7, -4],\n [0, -4, -2, -6, 10, -3],\n [-2, -2, -3, 1, 1, 8],\n [2, -6, -4, 4, -8, -2],\n [-2, -5, -9, 10, 6, 5],\n [3, -7, -6, -5, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -7, -4],\n [-6, 6, -1, -7],\n [9, 3, 5, 1],\n [-10, 10, 1, 6],\n [-1, -5, 1, 3]]\nB =\n[[6, 7, -1, -10, 9],\n [10, -3, -3, 2, 10],\n [1, -10, 0, 4, 9],\n [9, 2, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1381", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[3, 5, 7, -8, 9, 4],\n [-8, 10, -8, -7, -10, 4],\n [-7, -3, 5, -3, 2, 7],\n [-10, -10, -7, -9, -5, -5],\n [-9, 3, 9, 5, -8, 1]]\nB =\n[[1, -7, -3, 8, -9],\n [-6, -6, -2, 0, 2],\n [2, -3, 8, 0, -3],\n [-1, 1, 4, 2, -3],\n [10, 9, 4, -3, -5],\n [5, 8, 5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[7, 7, 0, 7, -8],\n [8, 6, -10, 2, -6],\n [10, 2, 0, 7, 3],\n [-6, -7, -3, -6, 6]]\nB =\n[[8, 7, -1, 4, -8, -3],\n [4, 0, 5, -10, -9, -8],\n [-1, 2, -1, 6, -8, -10],\n [-6, 10, -2, 10, 4, -10],\n [3, 1, 5, 2, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 1, 0, -7, -1],\n [-4, -4, 5, -7, -3, 5],\n [-7, -6, -3, -8, 6, 3],\n [-3, 4, 6, -9, -10, 5],\n [5, 3, 1, 1, -1, 5]]\nB =\n[[-9, -9, 4, -3, 10],\n [10, -8, 0, -2, 10],\n [-10, -4, 1, 1, 4],\n [-2, -4, 5, 5, 4],\n [7, 0, 0, 8, -2],\n [-4, -4, 9, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1576", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, 7, 5],\n [4, 10, -8, -8],\n [-7, 3, 9, -10],\n [3, 0, 5, 1]]\nB =\n[[5, -2, -9, -5, 8, -7],\n [5, -1, 2, -2, -1, -6],\n [-6, -5, 0, -2, -10, -2],\n [4, -6, -4, -7, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-254", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-3, 6, 0, 6],\n [5, 0, -5, -1],\n [-5, 4, -5, 2],\n [8, -6, 0, 8],\n [4, -3, 7, -2]]\nB =\n[[3, -10, -10, 2, 5],\n [10, -1, -8, 7, 6],\n [5, -1, 1, 5, -2],\n [7, 8, -10, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, 2, 3, 3, 3],\n [1, -3, 4, 1, -8, 4],\n [-4, 8, 9, -3, 0, 1],\n [3, -8, 9, 8, -4, -7],\n [-5, 5, 3, -10, -3, 7],\n [-6, -8, 5, -10, -6, -2]]\nB =\n[[6, 1, 2, -10, 4, 1],\n [-3, 9, -4, 1, -2, 4],\n [-5, -1, 9, 5, 3, 3],\n [7, -9, 8, -8, -1, 6],\n [-7, 7, 3, -10, 2, 4],\n [-1, -10, 9, -2, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -5, -5, 3, 2],\n [4, 1, 3, -3, -6],\n [8, 7, 6, 8, -1],\n [-1, -6, -10, 8, 3],\n [-6, -6, -3, 6, -10]]\nB =\n[[-8, -9, -3, 4],\n [-8, -1, 8, -10],\n [4, -6, 10, -2],\n [3, 6, -5, 1],\n [-4, 9, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1561", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, -3, 4, -4, 10],\n [1, 3, 8, -10, -1],\n [5, -2, 6, 9, 0],\n [1, -7, -9, -5, -7]]\nB =\n[[1, -10, -5, -2, 5],\n [8, 9, -7, 4, 2],\n [9, 0, -5, 1, -4],\n [-1, -9, 3, -2, -1],\n [-7, 3, 3, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, -10, -9],\n [-1, 7, 10, 1],\n [7, 7, -10, 9],\n [-8, -2, 8, 3],\n [8, -2, -4, -2]]\nB =\n[[-10, 1, 7, 10, 7, -10],\n [5, 0, -1, -4, 9, 1],\n [2, -9, -2, 2, 9, -3],\n [0, -6, -1, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 10, 6, 1],\n [10, -7, -10, -6],\n [-6, -4, 0, 1],\n [4, 3, -9, -3]]\nB =\n[[8, 1, 8, -5],\n [-6, 6, 10, -1],\n [5, -4, 2, 2],\n [-7, 8, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -3, 7, -7],\n [-10, -2, -4, -9],\n [5, 1, -10, 7],\n [7, 10, -3, -9]]\nB =\n[[-4, 2, 5, 4, 4],\n [-7, 0, 6, 2, 6],\n [-7, -1, 2, -4, -7],\n [6, 9, 9, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -1, 5, -1, -4, 0],\n [-4, 8, -6, 1, -5, 7],\n [0, 9, -1, -4, -3, -2],\n [1, 9, 3, 4, -5, -9],\n [5, 0, -1, 0, 8, 10]]\nB =\n[[-6, -6, 6, 10],\n [5, 4, 8, 6],\n [1, 0, -2, -4],\n [2, 0, 8, 10],\n [-4, 1, 6, -7],\n [-9, 4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "475", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -6, 10, -7, 5, -8],\n [-6, 3, 10, 8, 7, -5],\n [-4, 4, 2, 7, 5, -1],\n [9, -9, -4, 7, 7, 2],\n [-2, -9, -4, 8, -3, 8],\n [6, -9, -4, 5, -3, -4]]\nB =\n[[6, 7, 6, 1, -4],\n [1, -5, 10, 3, -8],\n [6, -2, 10, 0, -5],\n [-8, -8, -4, 7, 1],\n [8, 1, -5, 0, 1],\n [7, 2, 5, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[9, -1, 7, -8, -4],\n [2, -5, 9, -10, 3],\n [1, -4, 10, -9, 1],\n [1, 5, 2, -10, 7]]\nB =\n[[4, -9, 6, 8, 2, 4],\n [10, 0, -1, -1, -4, -8],\n [10, -7, -6, 4, -5, -9],\n [3, -4, 8, 4, 1, 1],\n [7, -8, 9, -9, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, 7, 0],\n [-3, 2, 8, 6],\n [3, 6, -5, 6],\n [-9, -1, 0, 4],\n [-3, -9, 1, 1],\n [4, 10, -4, 1]]\nB =\n[[1, 6, -5, -6, 9],\n [8, 6, 9, 9, 6],\n [10, 4, 7, -7, -10],\n [3, 8, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "667", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 6, -4, -9],\n [9, 5, 6, 0],\n [9, 0, -2, -6],\n [4, 5, 8, 0],\n [2, 9, 10, -9]]\nB =\n[[-4, 9, 0, -1],\n [-2, 2, -9, -6],\n [0, 7, -1, 8],\n [5, -5, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, -2, 3, 7, 4],\n [9, 7, -1, 7, -5, 6],\n [6, 3, -7, 9, -4, 9],\n [-4, -5, 0, -5, 0, 10],\n [6, -3, 5, -8, -10, 10]]\nB =\n[[-6, 9, -2, -6, 8, 4],\n [7, 10, 2, 9, 7, 10],\n [-8, 2, -3, -3, -6, -10],\n [-10, -9, 6, -5, -4, 2],\n [9, 5, -3, -10, -10, -3],\n [-1, 3, -7, -4, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, 0, -5],\n [-5, -6, -7, 7],\n [7, -4, 10, 5],\n [-9, -3, -1, -10],\n [3, 8, 7, -7],\n [6, -3, -9, 2]]\nB =\n[[1, -4, -10, -3, -2],\n [-9, 5, 0, -5, 9],\n [-4, -8, 10, -2, -6],\n [1, -6, -1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -6, 0, -8, 0, -1],\n [2, 8, 1, -9, 10, 0],\n [-5, 4, 6, -7, -3, -2],\n [5, 10, 7, -8, 5, 4]]\nB =\n[[-3, 5, -1, 10],\n [-3, 8, -7, 3],\n [5, 1, 6, 2],\n [-1, -8, -10, 2],\n [-3, -8, -5, -2],\n [-10, -6, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[6, -1, 3, 7, 1],\n [-6, 4, -4, -6, -4],\n [-6, -3, -1, 7, 3],\n [-6, -2, -1, 4, -3],\n [-6, -6, -7, 5, 4]]\nB =\n[[-1, -1, -5, 8, 10, 9],\n [-2, -4, -7, -10, 2, -8],\n [7, -8, -10, 0, 7, 3],\n [0, 0, 2, -4, 6, 0],\n [-10, 1, 10, 1, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[5, -7, -8, -9],\n [-1, 0, -10, -3],\n [0, 10, -3, -1],\n [-2, 8, 1, -2],\n [3, -3, -2, -3]]\nB =\n[[-5, 1, -1, -1, -6, 9],\n [4, 2, 3, -6, -1, -7],\n [8, -1, -5, -1, 7, -1],\n [-9, 6, -4, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 4, 7, 0, 9, 0],\n [1, -5, -1, -5, 5, 0],\n [0, -4, 7, 4, 4, 5],\n [-1, -5, -3, 4, 6, -7]]\nB =\n[[-6, 7, 7, -1, 7],\n [9, -1, -7, -4, -3],\n [1, -2, 1, 10, -2],\n [-5, 5, 1, 8, 0],\n [6, -3, -2, 7, -2],\n [-6, 10, 7, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "829", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -4, -2, -6, -8],\n [-10, 9, -3, 2, -5],\n [6, -10, 1, -9, 4],\n [-7, -1, -3, 7, 4],\n [-2, 0, -7, 4, -4],\n [9, 9, -6, -5, -7]]\nB =\n[[10, 0, -4, -4],\n [-4, -7, 7, 4],\n [0, 9, -1, -7],\n [-5, -1, 10, -2],\n [-7, 1, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-10, -6, 0, -3, -6, 6],\n [6, -3, 1, -8, -9, 8],\n [-5, -1, -10, 5, 7, -3],\n [8, -9, 3, -1, -4, 7]]\nB =\n[[-8, -10, 1, -1],\n [-9, 5, -2, -5],\n [2, -4, -1, -5],\n [0, 0, -7, 6],\n [-2, 8, 0, 0],\n [9, -1, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[6, 2, 8, 6, 6],\n [4, -4, -6, -10, -10],\n [5, 4, -2, -6, -6],\n [1, 2, -7, -9, 0]]\nB =\n[[6, -2, -4, -4, 10],\n [4, -10, -3, 7, 0],\n [0, -6, -4, 4, 1],\n [-4, -7, 5, -8, -8],\n [4, 10, -9, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -3, 6, -3, 1, -8],\n [4, -4, 4, -8, -6, 9],\n [-3, -1, 10, -5, -5, -10],\n [-6, 9, 1, -5, -10, 3],\n [8, 2, 3, -7, 9, 6],\n [4, -3, 8, 9, -9, -5]]\nB =\n[[-10, 2, -2, 9, 1, 2],\n [4, -5, 9, 5, -8, -6],\n [0, -1, -6, -6, 6, -10],\n [0, 1, -3, -10, -4, -8],\n [-3, 7, -1, 0, -7, 5],\n [1, 9, -7, -3, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -5, 0, 1, 8, 9],\n [-4, -5, -1, 1, -8, -1],\n [6, 5, -7, 6, 8, -3],\n [10, 1, -8, -1, -7, 3],\n [8, 9, 2, 4, -3, -10]]\nB =\n[[-2, -1, 5, -5],\n [6, -6, -5, 1],\n [9, -6, -3, -9],\n [-5, -3, 8, 3],\n [-3, -10, 3, -7],\n [1, -5, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, 10, -3],\n [4, 5, 3, 4],\n [4, 2, 3, 3],\n [-5, -1, 5, -10],\n [-1, -3, 1, 0]]\nB =\n[[-1, 7, -2, -3],\n [-3, -6, 7, -9],\n [-8, 10, -5, 5],\n [-4, -10, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -2, -3, 2, -9, 4],\n [1, -9, -9, 8, 3, -6],\n [10, -9, -5, -6, -4, -9],\n [-4, 8, 8, 0, 2, -2],\n [9, -1, 2, -5, -10, 0]]\nB =\n[[0, -9, 9, 0, -5],\n [-7, 8, -1, 4, -7],\n [3, 7, -2, 5, 1],\n [3, -9, -9, 2, -9],\n [4, -3, -2, 1, -6],\n [9, 3, 9, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1866", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 9, 10, 5],\n [9, 8, -7, -8],\n [1, 2, -5, 7],\n [2, 5, 9, -1],\n [9, 0, 10, -10],\n [3, 5, -9, 2]]\nB =\n[[8, -2, 8, 9, -4],\n [-1, -9, 0, 3, -7],\n [0, -10, 0, 1, -3],\n [-3, 8, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, -2, 3, 1],\n [-8, 1, 3, -1],\n [-10, 6, 4, 8],\n [-1, 8, -8, -6]]\nB =\n[[-5, 3, 5, 8],\n [-2, 7, -5, -10],\n [-6, -1, -6, -10],\n [3, 2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -7, -7],\n [-6, -8, 5, -3],\n [8, -2, -6, 6],\n [-3, 5, 1, 2],\n [-8, 4, -8, -7]]\nB =\n[[0, 8, -5, -3],\n [-6, -3, -10, 7],\n [5, -2, 0, -5],\n [-4, 9, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-2, -7, 10, 5, -5],\n [-4, -2, -5, 0, -7],\n [4, 4, 9, -10, 6],\n [-7, -10, 2, -8, -5],\n [-8, -8, -5, 1, 9],\n [-1, -4, 2, 3, 4]]\nB =\n[[-9, 10, -1, -2],\n [-7, -4, 4, -10],\n [1, -6, 7, -1],\n [8, 5, 10, -7],\n [6, 10, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 9, 10, -4, 1],\n [0, -6, 2, -5, -10],\n [-7, -1, -5, -2, 1],\n [7, 8, -5, -1, -4],\n [6, 7, 5, 5, 4],\n [-8, -5, 10, 6, -5]]\nB =\n[[-7, -5, 6, 8, -5, 10],\n [-8, -8, -4, 8, 9, -5],\n [2, 0, -1, -8, 5, -1],\n [4, 9, -3, -6, 1, 8],\n [3, 9, -4, -4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, 4, -6, -9, -6, -4],\n [-7, -2, 5, -6, 9, 4],\n [-3, -6, 0, -7, -9, -2],\n [-4, 9, 1, -10, 8, -3],\n [8, -1, -6, 10, 6, -4]]\nB =\n[[-10, 10, -5, 2, 0],\n [1, 3, -3, -9, -3],\n [-5, -7, -9, 5, 3],\n [-9, -3, -5, 4, 8],\n [0, 5, -10, 2, -7],\n [-5, 8, -9, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 7, 10, -3],\n [-8, -4, -8, 9],\n [-3, 9, 4, 8],\n [4, -2, 4, -6],\n [-8, 8, -8, 6],\n [1, -1, -5, -5]]\nB =\n[[2, 3, 0, -10, -3, 8],\n [-3, 8, -10, 5, -6, -7],\n [8, 9, -1, 4, -1, 10],\n [-10, 3, 10, -5, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -5, -3, 0],\n [-3, -4, 1, -10],\n [-1, 6, -2, 3],\n [9, 2, 3, -5]]\nB =\n[[0, 1, -1, -1],\n [-7, 5, -7, 5],\n [-7, 1, 0, -6],\n [1, -2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -9, 3, -4],\n [-6, 10, 4, 10],\n [10, -1, -3, -7],\n [-10, -4, 6, 9],\n [9, -6, 2, -8],\n [10, 6, -6, 2]]\nB =\n[[9, 5, -10, -10, -9, -3],\n [-2, 10, -8, -2, 6, -9],\n [-2, 5, -1, 2, -4, -5],\n [-8, 5, -10, 2, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-2, -9, 8, 3],\n [10, 8, -1, -5],\n [3, 0, 5, 3],\n [-9, -3, 10, 4],\n [2, 0, 10, -7],\n [-4, 5, -6, -4]]\nB =\n[[-8, -10, 1, 1, 3],\n [-3, 10, -7, 0, -8],\n [7, 2, 3, -8, -10],\n [-10, -1, -4, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -2, 1, -3, 6],\n [-8, -9, 6, -7, -10],\n [9, 6, 7, 8, 8],\n [3, -9, -10, -8, -2],\n [9, -2, 3, -4, 7],\n [3, 0, 1, -9, -10]]\nB =\n[[6, 6, 10, 0, -3, 0],\n [-4, -8, 8, -5, 8, 0],\n [-2, 6, 0, 2, -7, 0],\n [-8, 5, -3, -5, 2, 2],\n [8, 10, 2, -3, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2564", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[10, 1, -7, -5],\n [-5, -2, 10, -2],\n [9, 7, 5, 4],\n [-5, 9, 1, 2]]\nB =\n[[1, -7, -10, -4],\n [-9, 6, -6, -10],\n [-9, -5, 0, 3],\n [7, 1, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 5, 4, -5, -3, -10],\n [5, -9, -10, 6, -6, 8],\n [5, 10, 8, -10, -4, 2],\n [4, 5, -1, 8, -1, 6],\n [4, 2, 7, -7, -2, 5],\n [5, -4, 8, -3, -1, -9]]\nB =\n[[3, 6, 1, 8, 3],\n [-1, 2, -8, -8, 5],\n [-4, 6, -5, 8, -6],\n [-6, -2, -7, -7, -7],\n [-8, 3, 4, 7, 3],\n [-3, -5, 7, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 4, 9, -9, 7, -2],\n [-10, 8, -8, -9, -1, 9],\n [8, 8, -8, -9, 5, 1],\n [1, -4, -3, -5, 1, 7]]\nB =\n[[-10, 8, 9, -8, 8, -3],\n [8, 6, 0, 1, 8, -6],\n [10, 4, 5, 0, 0, -10],\n [-6, -4, -6, -7, -6, 9],\n [-9, -3, 1, -10, 7, -6],\n [10, 6, 1, 9, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "915", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 10, 2, -8, 4],\n [10, -1, 8, 9, -4],\n [-5, -8, -4, -8, 9],\n [-9, -3, 1, 3, 5],\n [-9, 5, 1, 10, -10]]\nB =\n[[3, -7, -1, 0, 0, -4],\n [-6, 7, -1, 5, 6, 4],\n [-8, 4, 9, -2, -2, -10],\n [0, -5, 2, 7, -6, -10],\n [-5, 2, 4, 9, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 9, 8, -2, 7, 5],\n [4, -9, 5, 9, -3, -6],\n [3, -4, -4, 3, -4, 5],\n [7, -3, -2, 0, -6, 1],\n [5, 9, -1, -3, 4, -6]]\nB =\n[[-10, -2, 1, -2, -10],\n [10, 2, -5, -4, -7],\n [-5, 8, 0, -2, -10],\n [-9, -3, 2, 7, 2],\n [-6, 5, 0, -5, -10],\n [-3, 4, 4, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 0, 3, 3],\n [-10, -3, 3, 7],\n [-2, -8, 0, -1],\n [5, 5, -2, -5],\n [-8, 1, 1, 4]]\nB =\n[[-9, -7, 10, -3, 3, -1],\n [-4, 4, 5, 1, 9, 6],\n [-6, -4, 6, -6, 10, 3],\n [-2, -9, 2, 5, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 10, 3, 2, 4],\n [7, -9, 3, 1, 8],\n [-2, 4, 8, -7, -6],\n [1, -6, -1, 4, 3],\n [1, 5, 10, 9, 7],\n [-6, 9, 6, -4, 5]]\nB =\n[[5, 2, 2, -5, -6],\n [-2, 8, 0, 1, -8],\n [0, -6, 8, 8, 2],\n [0, -2, 4, -10, -3],\n [4, 3, -10, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, 6, 1, -6, -4],\n [5, 9, -6, -4, -10, 3],\n [-5, -8, -8, 1, -8, 4],\n [-3, -3, -3, -6, -7, 10],\n [6, 9, -6, 2, 10, 7],\n [-9, 1, 3, -8, 2, 9]]\nB =\n[[4, 1, 0, -2, 6],\n [-4, -9, -6, -9, 2],\n [-3, -4, 8, -9, 9],\n [5, 10, -4, -2, -7],\n [-4, 2, -8, 7, 4],\n [-9, 6, -10, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2094", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -9, 4, -7, -8, 0],\n [4, 0, 5, 7, 6, -9],\n [-2, 7, -4, 3, -6, 1],\n [-7, -5, -1, 4, 4, 4],\n [-3, 8, -10, 9, -2, -2],\n [-1, -3, 7, -1, 0, -1]]\nB =\n[[-3, 6, 0, -8, -5, 0],\n [-6, 0, 3, -6, -3, 10],\n [-6, 4, 6, 0, 9, 0],\n [-7, -6, 10, 0, -9, 7],\n [9, -8, -1, 4, 4, 8],\n [-5, -1, 7, -9, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[0, 2, 7, 7, -9],\n [-8, 9, 2, 5, 7],\n [-3, -8, 1, -9, 2],\n [-5, -5, 6, -4, 6],\n [1, 3, -3, -1, -8],\n [10, 0, 8, -8, -5]]\nB =\n[[-6, 10, 7, -2, -8, 10],\n [6, -9, -10, 3, -10, -3],\n [-7, 5, 9, 5, 1, -3],\n [-8, -4, -7, 7, 3, 7],\n [3, 8, -1, -7, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, -6, 6, -6, 9, 7],\n [-10, 10, 8, 1, 10, 8],\n [6, -5, 4, -9, 1, 1],\n [-6, 6, -6, -7, 5, -6],\n [3, -1, -2, -4, 0, -4]]\nB =\n[[6, 1, -5, -5, 0, -9],\n [7, -7, 7, -5, 10, 4],\n [-2, -5, -5, -7, -9, 3],\n [-7, -4, 2, 7, -8, 7],\n [-7, 5, 4, -1, -6, -10],\n [1, -8, -4, -1, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 5, -4, -8, -7],\n [2, 4, -1, -10, 4],\n [2, -9, 9, 3, 10],\n [-1, -8, 2, -4, -7],\n [-3, 7, -10, 2, -3]]\nB =\n[[0, -1, -4, 2],\n [-10, -8, -10, 6],\n [4, -8, 8, 5],\n [-9, -2, 2, 3],\n [2, -6, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -8, 3, -8, -9, 10],\n [7, 4, -8, 3, 6, -5],\n [5, -4, 1, -7, 9, 1],\n [0, -2, -5, 7, -9, -8],\n [5, 3, -8, 10, -8, 9]]\nB =\n[[4, -7, -3, -8],\n [0, 5, 1, 9],\n [8, 10, -2, -10],\n [-9, -5, 8, -7],\n [-6, 6, 4, -3],\n [-4, 3, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-6, 7, -2, 10],\n [-8, 10, -8, -2],\n [9, -6, 4, -6],\n [-7, 8, -5, 6],\n [-1, 3, -4, 7]]\nB =\n[[10, -3, -9, -3, 1, 0],\n [-5, -7, -9, -9, -9, 6],\n [-6, -7, -1, 3, -4, 1],\n [0, -3, 7, 9, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, 1, -3, -6],\n [-2, -5, 6, -10],\n [5, -10, 4, -2],\n [0, -7, -2, 2],\n [-10, 10, 0, -3],\n [1, 10, -7, -2]]\nB =\n[[1, -1, -8, -9, -9],\n [-9, 5, 9, 0, 7],\n [2, 8, 6, 7, -3],\n [-1, -2, -4, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[0, 10, -2, 2, 1, -4],\n [-1, 1, -6, -6, -4, -9],\n [4, -3, 4, 4, -4, -5],\n [2, 4, -1, -8, -5, -8],\n [2, 7, 1, -9, -6, 1],\n [4, -9, 7, -1, 5, -5]]\nB =\n[[10, 0, -7, 8, -9, -6],\n [10, 0, 7, 4, 9, -5],\n [0, 2, 4, 7, -1, 7],\n [3, 5, -8, -2, 7, -1],\n [-9, 5, 5, -4, 6, -4],\n [-7, 7, -3, 5, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-7, 6, 4, 10, 2],\n [-3, -6, -2, -8, 6],\n [4, -7, -4, 1, -5],\n [-2, -9, -2, -4, 7]]\nB =\n[[6, -1, -3, 5],\n [-8, 2, -2, -7],\n [-8, -2, -2, 3],\n [1, -4, -3, 6],\n [5, 7, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 0, 6, -5, -3],\n [-10, -8, -1, -8, -8],\n [3, 7, 9, 5, 3],\n [5, 6, 4, 6, -2]]\nB =\n[[7, -2, -2, -10],\n [-2, 8, -4, -8],\n [2, 3, 8, 5],\n [4, -3, 5, 8],\n [-2, 4, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 10, 4, -5, 4],\n [-6, -9, 10, -9, 7, -10],\n [2, 6, 6, 8, 5, -7],\n [7, 2, 5, 3, 0, -8],\n [-8, 6, -3, -8, 3, 4],\n [3, 0, -1, -6, 5, 8]]\nB =\n[[8, 5, 1, -8, 9],\n [-4, 5, 0, -2, 4],\n [2, -7, 7, -10, 1],\n [5, -4, -10, -4, 5],\n [-1, -6, -8, 0, -8],\n [-9, 5, -10, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-461", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 6, 8, -2, -3, -5],\n [-6, -5, -8, -2, 4, 9],\n [-7, 3, 4, -9, 10, -2],\n [-7, -3, -3, -3, 2, -3]]\nB =\n[[8, 2, 5, -1, -4],\n [-5, 3, 2, -1, 0],\n [4, -6, 8, -4, 6],\n [3, -5, 0, 5, -3],\n [9, -2, -1, -4, -1],\n [7, 6, 0, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-8, -7, 0, -1, -2],\n [2, 6, 7, -3, -4],\n [-2, -6, 5, -6, 3],\n [5, -10, 9, -8, -10]]\nB =\n[[5, -7, 5, 4, 10],\n [8, 0, -10, -8, 4],\n [3, 10, 2, 8, 6],\n [7, 7, 4, -1, 2],\n [0, 9, 5, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-1, 4, -6, 3],\n [-9, 5, 0, -1],\n [3, 2, -10, 9],\n [-8, -8, -10, -8],\n [-4, -10, 0, -1]]\nB =\n[[-4, -8, 7, 8],\n [-10, -3, -10, 6],\n [-4, 10, -5, 0],\n [-3, 7, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, -1, -6, 7, -10],\n [0, -4, 8, 6, 1, 1],\n [5, 2, 6, 2, -1, -8],\n [-5, -5, -1, 10, -3, -6],\n [2, 3, 4, 1, 8, -10],\n [-2, 6, -3, -2, -7, 10]]\nB =\n[[4, 7, -1, 4],\n [-3, -10, 3, -10],\n [3, -8, 10, 10],\n [-8, 10, 9, -1],\n [-6, -6, 9, -5],\n [6, 7, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1599", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-2, 0, 7, 10],\n [9, 4, -3, 4],\n [-8, -8, -10, -7],\n [0, -7, -1, 3]]\nB =\n[[5, 3, 9, 5, -9, -3],\n [-7, -10, 1, 10, -6, 2],\n [-3, 9, 4, -5, 2, 8],\n [-8, 4, -6, 10, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 10, -3, 8, -10],\n [6, 0, -10, 5, 6],\n [7, 9, -8, 8, -9],\n [10, 10, -1, 5, -9],\n [3, 7, -7, -1, 3]]\nB =\n[[6, -1, -3, 6, 6, 3],\n [-9, 9, 6, -4, -2, 1],\n [3, -7, -5, 6, -5, 2],\n [7, -4, 3, 4, 8, -6],\n [-9, -4, -1, -8, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1352", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 0, 5, 5, 3],\n [9, -1, 7, -9, -7],\n [3, 8, -2, 9, 2],\n [8, 9, 6, -10, 8]]\nB =\n[[-10, 2, 1, -7, -2, -9],\n [-5, -10, 3, -3, 5, -1],\n [-6, 3, -4, 6, 1, 1],\n [-6, 1, -3, 4, -5, 8],\n [4, -8, -3, -5, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, -1, -2],\n [-1, 9, -1, 0],\n [-10, 3, -1, 2],\n [8, 7, -7, 10]]\nB =\n[[-1, -7, -4, 8, 1],\n [8, -1, -4, -8, -2],\n [0, -8, 1, -3, 7],\n [5, -5, -8, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 9, -8, -5, 2, 3],\n [2, 7, 4, -9, 3, 6],\n [-9, 4, -6, 1, -1, -5],\n [6, 8, 10, 1, 0, -6]]\nB =\n[[-1, 8, 9, 3],\n [1, 0, 3, 2],\n [9, 5, 10, -7],\n [-6, 9, -9, -6],\n [-8, -8, 4, -10],\n [-7, -5, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1390", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 4, -3, -2, 9, 6],\n [2, 8, 10, -3, 10, 5],\n [-10, 3, 4, 3, -10, -8],\n [1, -10, -6, 4, -4, 7],\n [7, -7, -10, 1, 7, 9]]\nB =\n[[5, -1, 9, 2, 0, 8],\n [1, -4, 3, 10, -9, -2],\n [5, -4, 0, 5, 7, 7],\n [-7, 2, 3, 7, -10, 4],\n [-3, 7, 2, 10, 7, 8],\n [3, 10, -9, -3, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2372", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 2, 9, -8, 2],\n [-2, -4, -10, -7, 9],\n [-3, -10, -5, 5, 3],\n [-6, -4, -7, 5, 9],\n [3, -1, 7, -9, 9]]\nB =\n[[1, -6, 9, -2],\n [-6, 0, -5, -10],\n [-2, -4, -8, 9],\n [-4, 0, -3, -3],\n [7, -5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -6, -6, 0, 1],\n [8, 2, -5, -5, 6],\n [7, -9, 7, -9, -8],\n [-8, -6, 7, -1, 5],\n [0, 2, 1, -8, 2],\n [3, 5, 0, 4, -2]]\nB =\n[[-1, 0, -7, -4, 5, -5],\n [5, 4, 8, 9, -9, 1],\n [0, 3, -6, -5, 2, 4],\n [2, -2, -9, -8, -5, -4],\n [4, -1, -9, 2, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 2, 1, -7, 10],\n [2, 4, 3, 7, 4, -5],\n [8, -4, 9, -2, -7, -5],\n [-10, 3, 8, 1, -8, -9],\n [7, -4, -10, 3, 6, -10],\n [-10, -1, -8, -9, 5, -4]]\nB =\n[[7, -5, -8, -6, 1, -6],\n [6, 5, -1, 7, 0, 8],\n [-6, 8, -1, 5, 1, 5],\n [-5, 2, 0, -9, 5, 1],\n [-6, 6, 5, 6, -8, -6],\n [-6, -9, -2, 0, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, 10, -10, 1, 10, 0],\n [0, 3, 6, -9, 10, 1],\n [-1, -5, 9, -2, -9, -1],\n [3, -7, 6, 1, -10, -2],\n [3, 3, -9, 9, -1, -10],\n [4, 1, -1, 9, -5, 10]]\nB =\n[[-9, -7, 10, 0],\n [-1, 6, 8, -6],\n [-4, 3, -9, -3],\n [0, 2, -8, 6],\n [9, -1, 4, -4],\n [0, 3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -10, 7, -3, 2],\n [-10, 3, -7, -7, 1],\n [-3, 0, 3, 8, -7],\n [-8, 8, 7, -8, 10]]\nB =\n[[2, 8, -10, 7, 9],\n [3, -9, 1, -2, 8],\n [5, -2, -4, 3, 3],\n [-5, -2, -10, -3, 6],\n [-3, -5, 5, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[8, 0, 6, -2, 1, -5],\n [-6, 8, 0, -2, -2, 2],\n [2, -8, 10, -8, 0, 2],\n [-1, 1, -4, 9, -1, 6]]\nB =\n[[-2, 10, -7, 2],\n [-8, 6, 10, 9],\n [-10, -3, -1, 8],\n [-10, 0, -4, -10],\n [-9, 1, -6, 10],\n [6, 9, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, -2, 9],\n [7, -8, 9, 5],\n [0, -1, 4, 5],\n [-10, 2, -4, -4],\n [4, 0, -2, 10],\n [10, 4, -10, -9]]\nB =\n[[-10, 6, 9, -8, 10, 5],\n [-3, 3, 2, 10, -10, -6],\n [-8, -9, -4, -6, 0, -6],\n [8, 3, 1, -1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, -8, 4, -10],\n [0, 2, 2, 0, -10],\n [-7, 1, -5, -10, 5],\n [2, -7, 10, 3, -3]]\nB =\n[[-4, 9, 1, -6, 10, 9],\n [6, -10, -6, 4, 9, 8],\n [-10, -3, -2, 3, 6, 6],\n [6, -5, 2, -8, 0, -6],\n [10, 4, 6, 3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 9, 10, -8],\n [3, 9, 0, 5],\n [7, 8, -10, 10],\n [-6, 9, -9, 6],\n [-4, 9, 8, -8],\n [-6, -9, 0, 5]]\nB =\n[[4, -7, -7, 8, -3, -4],\n [2, 3, -9, 2, 1, 4],\n [0, -5, 7, -10, 0, -10],\n [9, 1, 3, -9, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -4, 8, -7],\n [3, 4, 0, -9],\n [-10, 5, -10, -9],\n [4, 6, 4, 4]]\nB =\n[[6, -4, 7, -5, -2, 1],\n [5, -10, 3, 1, -9, -2],\n [5, 7, 6, -2, -8, 4],\n [-1, 5, -8, 2, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-3, -6, 5, 3, -7],\n [2, 6, 10, 6, 5],\n [-8, 1, 3, 1, 8],\n [-5, -8, -3, 2, -7],\n [-3, 8, -8, -8, 9],\n [-8, 1, -8, -3, 1]]\nB =\n[[10, 4, 10, -3, 6],\n [-9, 3, 3, 10, -6],\n [2, 8, 7, 7, 0],\n [-6, -8, -1, -1, -2],\n [-4, 10, 1, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-2, -10, 4, -5],\n [8, 6, -1, 5],\n [9, 4, 3, 0],\n [3, -9, 1, 6]]\nB =\n[[-1, -2, -2, 4, -4, -7],\n [-2, 10, -1, -8, -9, 4],\n [7, 10, -3, 7, -6, -7],\n [-9, 0, -8, 10, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[1, -6, -7, 1],\n [-1, -5, 8, 3],\n [6, 2, 1, -7],\n [6, -4, 6, 9],\n [-3, -1, -1, 1],\n [2, -8, -8, 2]]\nB =\n[[10, 6, -1, -6],\n [8, 4, -6, 4],\n [-7, -8, 2, 8],\n [-1, -10, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -1, 4, -2],\n [-2, -3, -1, -6],\n [2, -10, 3, 9],\n [-2, -7, 10, 8]]\nB =\n[[-2, 3, 2, 2, 6, -3],\n [1, 5, 4, -3, -7, 4],\n [-7, 0, 9, 4, -7, -9],\n [5, -3, 7, -5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[10, 5, 1, 5],\n [4, -5, 2, 4],\n [4, -10, 3, -1],\n [-4, 8, -9, -9],\n [-9, -3, 3, -10],\n [0, 9, -2, 1]]\nB =\n[[-8, -8, 9, 2, 2],\n [4, -10, -6, -9, -10],\n [-3, 4, -3, 8, 5],\n [8, 9, 8, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -3, 2],\n [0, 0, -5, -10],\n [4, 7, 9, -7],\n [3, 10, -10, 6]]\nB =\n[[4, -3, 3, 8, -7],\n [3, -1, 1, 7, 6],\n [-5, -1, 2, 7, -2],\n [4, -6, -7, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1033", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[4, 10, -9, -1, -6],\n [0, -10, -10, -9, -5],\n [-5, -8, 7, 9, -5],\n [6, -6, 5, 3, -1],\n [5, 4, 2, 0, -2],\n [10, 9, 5, -5, -5]]\nB =\n[[-5, 10, -5, 4, 0, 7],\n [7, -8, -10, -9, 4, 1],\n [10, 0, -2, 9, 2, 6],\n [-6, 3, 1, -1, 9, -9],\n [-8, 4, 5, 0, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, 5, -8],\n [3, -2, 2, -7],\n [1, 9, -8, -3],\n [-8, -3, 8, 7]]\nB =\n[[5, -5, 3, 6],\n [-9, -8, -3, 10],\n [1, -8, 6, 5],\n [-10, -5, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[6, -4, 9, 2],\n [6, 9, -1, -10],\n [-10, -5, -2, 8],\n [1, -8, -1, -5],\n [0, -6, -2, -10],\n [0, -5, 1, -8]]\nB =\n[[2, 8, -7, -3, 9],\n [2, 2, 2, -4, 3],\n [-1, -4, 4, 0, 10],\n [-10, 7, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -10, 9, 10, -6, -5],\n [0, 3, -9, -7, -2, 6],\n [5, -5, -4, 3, -2, 8],\n [7, -8, 2, -10, -4, 8],\n [-4, 6, 3, 5, -10, 3],\n [7, -6, -8, -2, -1, -10]]\nB =\n[[-5, -7, -5, 2, 6, 2],\n [2, -2, 10, 1, -5, -9],\n [-6, 3, -7, 2, -5, 3],\n [-10, -4, -8, 2, -6, 9],\n [0, 7, -9, 7, 4, 9],\n [-9, 1, 10, -3, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[8, -2, -5, -9, 0],\n [6, -7, 0, -8, 1],\n [8, -5, -8, -8, 3],\n [-1, -1, -6, 2, 0],\n [6, -1, 5, -9, 4]]\nB =\n[[-2, 1, -10, 10, -4, 9],\n [-10, -2, 7, 2, -10, -2],\n [-9, 6, -7, -2, -8, -2],\n [-4, -6, -10, 10, 9, 6],\n [10, 7, 6, 0, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 7, -4, -10, -9],\n [8, 9, -8, -8, -9],\n [4, 0, -5, -2, 4],\n [1, -3, 2, 7, -4]]\nB =\n[[-1, 10, -1, 9],\n [-8, 10, 3, 2],\n [6, 3, -9, 8],\n [10, -8, 1, 5],\n [-8, 5, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, 6, -10, -5],\n [0, -2, -2, -1, 2],\n [3, 7, 7, -3, -3],\n [1, 5, -4, 0, -6],\n [-6, 7, -6, -2, -8],\n [-1, -3, 2, -5, -5]]\nB =\n[[10, 4, 3, -1, 1],\n [7, 1, 9, 0, 9],\n [-8, 2, 1, -3, -7],\n [2, -1, 6, -8, 2],\n [-2, -8, -10, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1140", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 3, 2, -4],\n [6, 7, -2, -10],\n [4, -8, -2, -5],\n [8, -5, -10, 9],\n [-5, -1, 4, 0]]\nB =\n[[-10, -6, -6, 5],\n [5, 10, 3, -2],\n [9, 8, 6, -9],\n [5, -10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-503", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 1, -3, -9, -9, 4],\n [0, 8, 1, -3, 3, -3],\n [-9, -2, 8, -10, 5, 5],\n [7, 1, -7, 7, -5, -10],\n [-5, -6, 3, -9, 3, 5],\n [8, 8, -8, -9, -4, -3]]\nB =\n[[-1, 8, 9, -1, -9],\n [-1, 2, 6, -9, 1],\n [-9, -6, 9, -8, 5],\n [-9, -7, -3, 5, -9],\n [5, 1, 4, -1, 6],\n [7, 1, 7, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "700", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[8, 9, -2, 2, -4],\n [-6, -9, 4, -1, 7],\n [9, -9, 10, 1, 10],\n [-10, -5, -1, 1, -10]]\nB =\n[[4, -7, -6, 3],\n [-8, 10, -5, -4],\n [8, -7, -2, -8],\n [10, 3, -4, 1],\n [3, 6, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, 2, -9, 4, -7, -10],\n [-4, -1, 9, 3, 3, -9],\n [-1, -6, 3, -2, 4, -3],\n [8, -4, 9, -7, -8, 7],\n [7, 7, 2, 4, -3, 7],\n [7, 1, -9, 8, 0, -5]]\nB =\n[[1, -5, -5, 1, -9, 6],\n [8, -4, -5, -7, -4, -5],\n [-7, 2, 5, 10, -2, -2],\n [-2, 5, -8, 5, -9, -4],\n [6, 5, 7, 1, -2, -8],\n [-1, -6, -9, -10, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 6, 6, -4],\n [-6, -8, 1, -6],\n [-9, 0, 7, 7],\n [3, -10, 0, 10],\n [0, -1, 10, 3]]\nB =\n[[-3, -7, 6, -7],\n [-2, 0, -4, -4],\n [2, -4, 1, -7],\n [-4, -7, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "845", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 7, 1, 4],\n [-7, -3, -1, 0],\n [-7, 7, 8, 2],\n [3, -1, 10, -10],\n [1, 10, -1, -6]]\nB =\n[[-1, 5, 6, -7, 9],\n [1, 8, -6, -1, -9],\n [-5, -9, -10, -5, 10],\n [-9, -8, 6, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -1, -4, 3, 10],\n [1, -1, -2, -4, -2],\n [10, -10, -9, 9, 8],\n [-9, -5, 8, 7, 6],\n [-3, -9, 7, -10, 8],\n [-3, 2, -8, 6, 3]]\nB =\n[[-5, 4, 3, -5, 2],\n [6, -7, -9, 5, 9],\n [4, -9, 1, 10, -1],\n [5, 0, 4, -1, 2],\n [-10, -3, 6, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-1, 2, 1, 5, -8, 5],\n [-8, 10, -1, 6, 9, 2],\n [-10, 7, 9, 8, -6, 3],\n [4, 2, -2, -1, 5, 6],\n [-3, 6, -1, 4, 6, 10],\n [2, 0, -6, -2, 10, -3]]\nB =\n[[2, 3, -8, -4],\n [-3, 9, 7, 5],\n [-8, -5, 2, 7],\n [-10, 9, 8, -2],\n [8, 4, 9, 0],\n [-7, 6, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 3, 7, 7, 8],\n [3, 6, 5, 3, -5],\n [8, 6, -7, 7, -10],\n [-1, 8, 1, 10, 5]]\nB =\n[[-5, 3, -1, 1, -4],\n [-6, -7, -9, 5, -7],\n [-6, 6, 4, 8, 3],\n [-3, -7, 1, -9, -8],\n [-3, 4, 3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -7, -1, -8, -7, 9],\n [8, -6, 0, 1, -2, -4],\n [-5, -6, 9, -9, 0, 9],\n [-5, 4, 8, -7, -9, 10]]\nB =\n[[-10, 9, -3, 1, -3, 9],\n [5, -2, -8, 0, -3, -3],\n [-5, 10, -6, 10, -5, 1],\n [-4, 10, -10, -7, -10, -1],\n [-8, 3, -8, -10, 7, 3],\n [-3, 4, -9, 10, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -3, -10, 1],\n [-1, 1, 4, 4],\n [10, 1, 10, -3],\n [3, -7, 7, -5],\n [-1, 8, 3, -6]]\nB =\n[[-9, -5, -4, 4, -8],\n [-7, -3, -1, -9, 9],\n [-10, 9, 1, -7, 10],\n [-5, -3, 9, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 7, -2, -3, 0, 2],\n [6, -3, 10, 0, 10, -8],\n [6, -3, -8, -3, -5, 9],\n [5, -7, -8, 1, 3, 10],\n [-9, 9, -1, -2, -2, 1]]\nB =\n[[-10, -10, -9, 1, 1, 2],\n [-6, 4, 9, 5, 2, -5],\n [-3, 4, 2, -10, -1, 7],\n [1, -2, -4, -7, 10, 1],\n [4, 6, 4, 2, 5, 5],\n [-5, -5, 6, 4, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2505", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 9, 9, 7, -4, 2],\n [8, 2, 7, 10, 6, 3],\n [-7, -8, -4, 4, -4, -8],\n [-10, 3, 7, -5, 9, -2]]\nB =\n[[9, -3, 6, -5],\n [-7, 0, -6, -9],\n [4, 6, 7, -6],\n [6, -8, -2, -4],\n [-2, -4, 0, 1],\n [-3, -9, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, 2, 2, -8, 5],\n [10, 9, -6, 5, -4, -2],\n [-3, -4, -2, 0, -4, 3],\n [-1, -5, -10, -9, -3, -3],\n [-6, 1, -7, -4, 8, -7]]\nB =\n[[-7, 0, -3, 10, 4, 0],\n [-4, -6, 0, 6, -4, 1],\n [-1, -3, -8, 0, 8, -8],\n [3, 4, 10, -1, 3, 3],\n [-7, 2, 6, 7, -1, -1],\n [1, -6, -7, 10, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -3, 0, -9, 4],\n [-7, -6, -5, -8, 1],\n [-9, 1, 10, -10, 3],\n [3, 4, -8, -5, 9],\n [-2, 1, -10, 0, 8],\n [5, -10, 10, 5, -9]]\nB =\n[[-10, -1, 8, 4, -6],\n [1, 5, 10, -3, 8],\n [9, -10, 6, 9, -3],\n [-9, 5, -8, -10, 9],\n [2, -4, -3, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, 5, 2, 10, 0],\n [1, -6, 3, 3, -4, 8],\n [7, 9, -8, 8, -3, -8],\n [-1, 5, 1, 4, -7, -3],\n [2, 3, -5, -8, 4, 6]]\nB =\n[[-4, 10, 9, -10],\n [-9, -8, 0, -5],\n [-5, 0, 5, 5],\n [-6, 0, -6, 5],\n [-8, 2, 5, 8],\n [9, 7, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-294", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[1, 0, 5, -9, 2],\n [-4, 10, -2, -5, 3],\n [1, 8, -6, -8, 5],\n [-7, 10, 7, 6, 9]]\nB =\n[[-5, 0, -1, 2, -2, 10],\n [2, 0, -5, 2, -10, -6],\n [-1, 3, 7, -2, -2, 9],\n [10, 2, -4, -8, 6, -2],\n [9, -3, 1, 4, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 9, -2, 1],\n [4, 7, -1, -5, 4],\n [3, -7, -10, 8, 8],\n [0, 10, -5, 2, -5],\n [-1, -8, -4, 0, -5],\n [-6, 6, 8, 4, -1]]\nB =\n[[6, 0, -4, 3, -1, 1],\n [4, -7, -3, 10, 0, 10],\n [3, -9, -9, 7, -10, -9],\n [6, -1, 5, 4, 3, 5],\n [8, -7, -1, -5, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2367", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-4, 2, 8, -8, -2, -5],\n [6, -7, 5, 1, 6, 5],\n [-3, 10, -10, 4, 10, -4],\n [8, 5, -10, -7, -1, 8],\n [-2, 9, -2, 6, -10, -9]]\nB =\n[[-4, -7, -8, -5, 10],\n [7, 7, 5, -4, 9],\n [-4, -3, -1, -9, -5],\n [4, -10, 7, 10, 8],\n [-8, 7, -9, 4, 1],\n [2, -1, -1, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, 1, -3],\n [2, -8, -10, -1],\n [2, 4, -8, 0],\n [-8, 8, -4, 4]]\nB =\n[[4, 4, 2, 4],\n [6, 8, -4, 0],\n [4, 6, 3, -9],\n [-9, 5, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 0, -10, -10, -4],\n [0, 8, 8, 6, -3],\n [4, 10, 7, 7, 0],\n [-5, 7, -1, -8, -7]]\nB =\n[[4, 9, -10, 6, 6, 6],\n [-4, 3, 7, 4, 2, -10],\n [-7, 7, 2, -1, -3, -9],\n [-7, -8, 8, 2, -5, 8],\n [-8, -6, 8, -6, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 4, -6, 5, 0, -2],\n [6, -5, 5, 4, 3, 6],\n [-10, 5, -7, -7, -8, -4],\n [-5, 4, -6, -4, -9, 10],\n [-5, 5, -8, 5, -1, -3]]\nB =\n[[1, 5, -7, 4],\n [-8, -1, -3, -10],\n [-5, 6, 7, 2],\n [-4, 0, -6, 2],\n [-7, -2, -2, 7],\n [-2, -7, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 9, 2, 0, -3, 8],\n [7, 3, -7, 1, -2, 6],\n [8, 1, -10, -4, 7, 10],\n [4, 5, 9, -5, -5, 8],\n [1, -3, 9, 10, -1, -10],\n [-3, -3, -8, 0, -1, 4]]\nB =\n[[-4, 4, -3, -5],\n [6, -3, 1, 4],\n [-4, 5, 7, 5],\n [-7, 7, -9, -10],\n [7, -6, 2, -7],\n [3, 9, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1473", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-10, 5, 10, 9, -8, -9],\n [3, -9, -3, 10, 7, -2],\n [9, 9, 4, -2, -1, 7],\n [3, 5, 9, -7, 4, 0]]\nB =\n[[-6, -3, -4, -6, -7],\n [4, 2, -9, -1, -4],\n [-9, 7, -7, 3, -2],\n [8, -10, -6, 6, -9],\n [-3, -5, 0, 8, 7],\n [-9, 0, -7, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -9, 10, 7, -6, -9],\n [8, -5, -9, -6, 7, 2],\n [8, 7, -4, 10, 8, 1],\n [6, -10, 1, -5, -7, -3]]\nB =\n[[3, 8, 2, -9, 10],\n [3, -2, 7, 1, -5],\n [-10, 4, 2, -2, -4],\n [4, -1, 9, 2, -6],\n [-1, -8, -8, 1, 7],\n [-8, 4, -8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "533", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-3, -9, 1, -5],\n [3, 7, 7, -2],\n [-2, -4, 3, 10],\n [-8, 9, 1, -3]]\nB =\n[[-9, -4, 3, -2, -1, -9],\n [8, 3, 9, -4, 7, 2],\n [-8, 0, 10, 7, 2, 9],\n [-3, -10, 2, 0, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 5, 10, -1],\n [-1, -10, -2, 0],\n [8, 5, 9, -3],\n [9, 0, 4, -2],\n [-4, 10, 10, 9],\n [-3, 7, -8, 0]]\nB =\n[[-3, -5, -1, -9],\n [-9, 0, -2, 8],\n [6, 2, -3, -7],\n [10, 1, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 6, -5, -6],\n [6, 1, -8, 7, 6],\n [-2, 4, -9, 10, 7],\n [-10, 6, -7, 0, -7]]\nB =\n[[-1, -3, 4, 10, -8, 6],\n [6, 4, -10, -2, 2, -2],\n [7, 4, -3, 0, -7, -7],\n [-4, 6, 3, 4, -9, -3],\n [-5, -6, 0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 6, 10, -5],\n [5, -10, 5, 4],\n [4, 2, 5, -3],\n [-8, -7, -5, 2],\n [-9, 5, -5, 2]]\nB =\n[[8, 3, 4, 7],\n [9, -4, 0, 0],\n [-8, 8, 10, -1],\n [5, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1180", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -1, -9, -10, 9],\n [4, -6, -10, 9, -5],\n [-1, 10, 1, 3, 5],\n [7, -6, 7, 5, -7],\n [-3, 10, -8, 5, -6]]\nB =\n[[-10, 4, -3, 2, -6],\n [4, -6, -3, 8, 8],\n [-8, -6, -3, 4, 1],\n [-3, -7, 10, 10, 10],\n [5, -10, 4, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 6) of the result:\nA =\n[[-8, -5, -2, -3, 2, 7],\n [-6, 2, -1, 10, 6, 2],\n [-1, 9, 10, -1, -8, 0],\n [-1, -3, -5, -1, -6, 7],\n [2, -5, 9, 3, -4, -7],\n [2, 7, -8, -6, -2, -6]]\nB =\n[[-6, 6, -7, 9, 8, 5],\n [6, -3, -1, 3, 2, -5],\n [6, 3, 7, 6, 10, -5],\n [7, 8, 8, 7, -9, -10],\n [-5, 10, -6, -3, -4, -6],\n [8, 5, 1, -1, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -7, 3, -1, 0, -3],\n [-6, 10, 0, -5, 1, 5],\n [-5, 3, 2, 6, 6, 1],\n [-10, 8, -7, -9, -2, 10],\n [7, -6, 2, 9, 1, -3]]\nB =\n[[1, 10, 2, -1],\n [3, 3, 10, 3],\n [10, 0, 7, 0],\n [5, -2, 4, -2],\n [-10, -4, 2, -3],\n [-6, 8, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "894", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, 2, 2, 0, -5],\n [8, -6, 3, -3, -1, -2],\n [5, -8, 1, 4, 4, 2],\n [9, 10, -6, -6, 8, -6]]\nB =\n[[2, -5, -1, 2, 2],\n [-4, -7, 0, 3, -8],\n [5, -2, -6, 2, -1],\n [8, 4, -1, 8, 2],\n [10, -4, -2, -2, 1],\n [9, 2, 2, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -10, 10, -4, 4],\n [-2, -8, -4, 10, 2],\n [-5, 9, -8, 6, -2],\n [-6, 9, -5, 1, 2]]\nB =\n[[-8, 8, 1, -4, -5],\n [1, -9, 7, -1, -10],\n [-10, -5, 9, -4, -7],\n [-4, 9, -1, 0, -7],\n [-4, -2, 5, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[2, 6, 0, 8, -1],\n [-7, -4, 1, -8, -2],\n [3, -6, -6, -3, 8],\n [8, 9, 8, -1, 6],\n [6, 1, -5, -3, 0],\n [-1, -4, 1, -8, -10]]\nB =\n[[-2, -10, 5, -5, 8, -10],\n [10, 0, 2, 6, 9, -3],\n [4, -8, -1, -5, -6, -6],\n [-2, 10, -5, 4, 8, -9],\n [5, -7, -8, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, 8, 10, -6],\n [0, 9, 8, -10, 3],\n [-3, -6, -2, 6, 9],\n [-3, 0, -2, -8, 9],\n [3, 4, -10, 5, 3],\n [-9, 3, 10, 10, 10]]\nB =\n[[-3, -9, -6, 1, 1],\n [-10, 3, -9, 1, 4],\n [10, 4, 4, -4, -6],\n [9, -8, -10, -1, 1],\n [-1, -1, -9, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 7, -3, 0, 10, -3],\n [7, -5, -8, 6, -9, 4],\n [0, 1, 3, 4, -3, -2],\n [6, 10, -8, -5, 7, 9],\n [-4, 8, -9, 4, -9, 9],\n [-3, -3, 0, -9, 10, 6]]\nB =\n[[-5, 4, 6, -7],\n [-1, -1, 7, 5],\n [-9, -7, -3, 4],\n [10, 3, -1, 8],\n [5, -2, -10, 0],\n [-4, 9, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, -4, 2],\n [1, -4, -8, -3],\n [-4, -10, 6, 8],\n [4, 3, 7, 10],\n [6, -6, -9, 4]]\nB =\n[[8, -9, 7, -3, -6, -10],\n [-5, 4, -6, 10, -3, 0],\n [-4, 10, -9, 4, -5, -10],\n [-10, 3, -1, 2, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 5, -3, 5, 7],\n [-10, 2, -7, 5, -4],\n [4, 1, -8, 8, 9],\n [4, -7, -7, -5, -3]]\nB =\n[[-8, 3, 9, -5],\n [3, -9, -6, 9],\n [1, -7, 3, -6],\n [3, -9, -3, 2],\n [-7, -5, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 10, -10, -4, -1, -5],\n [4, 6, 1, 8, -10, 2],\n [7, 9, 1, 8, -2, 1],\n [-4, 10, 1, -2, -3, 1],\n [-6, -6, -7, -2, 0, -10]]\nB =\n[[-10, -3, -8, 4],\n [2, -4, -5, -9],\n [-6, 9, 4, -9],\n [-7, 10, -7, -10],\n [8, -6, -8, 9],\n [-10, -1, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-737", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 7, 2, -10],\n [-3, -9, -8, -9],\n [-4, 0, 6, 2],\n [-6, -7, 10, 7]]\nB =\n[[9, -5, 7, -8, -4],\n [10, -1, 2, -7, -4],\n [8, 4, -7, -4, 3],\n [4, -8, -8, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1545", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, -2, 1],\n [8, 3, -5, 5],\n [-7, 10, -2, 0],\n [3, -5, 8, -5]]\nB =\n[[0, -4, -3, 3, -10, 3],\n [5, 7, 0, -4, 3, -1],\n [7, 5, 0, 8, 4, -7],\n [-4, 7, 7, -1, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 1, 2, 1, 0, -2],\n [-4, 1, 3, 9, -9, 2],\n [5, -6, -7, -3, -9, -1],\n [-2, 10, -10, -4, -4, 10],\n [6, 7, -6, -6, -9, -10]]\nB =\n[[-10, 0, 6, 5, -9, -4],\n [1, -10, 3, -8, -1, -6],\n [-9, 4, 5, 5, 10, 4],\n [0, 0, 8, -7, 6, 8],\n [-4, 7, 0, 3, 8, 2],\n [6, -8, -7, 7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 5, -4, 3, 1],\n [7, 1, 1, -5, -3],\n [3, -4, 9, 2, -4],\n [2, 4, 9, 4, 10]]\nB =\n[[9, -6, 4, 5],\n [-8, 2, 9, -10],\n [-8, 6, -4, -1],\n [0, -9, 10, -8],\n [-2, -9, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, -2, -6],\n [-3, 3, -4, 2],\n [10, -10, 7, 10],\n [5, -1, 3, -2],\n [2, 1, -6, 0],\n [-7, -3, 4, 2]]\nB =\n[[1, 0, -6, -4, -6, 1],\n [0, -5, 3, 4, 2, 4],\n [9, 8, -8, 8, -6, -6],\n [-4, 9, 9, -8, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, -3, 2],\n [10, 2, -1, -3],\n [-10, 1, 4, 9],\n [-4, 0, 2, -8],\n [-4, -5, 10, -5],\n [3, -9, 8, 7]]\nB =\n[[7, -8, 3, 8, 6],\n [-9, 3, -3, -9, -6],\n [2, -3, 6, -4, 5],\n [-5, -8, 3, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 6, -2, 0, -9, -3],\n [-5, 0, -8, -6, 7, 7],\n [5, 9, 10, 1, -9, 10],\n [4, 6, 6, -2, 4, -4]]\nB =\n[[-2, 6, -4, 3],\n [5, 8, 10, -9],\n [-2, 3, -6, 8],\n [2, 7, -1, -4],\n [-3, -5, 10, -5],\n [-2, -2, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -10, 6, 8],\n [-8, -4, 1, -2],\n [6, -2, 8, 7],\n [-8, -9, 5, 1]]\nB =\n[[0, 0, -10, -3, 2],\n [6, 2, -6, -7, 0],\n [-5, 0, 4, -2, -4],\n [8, -6, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -4, -4],\n [10, -8, -3, 4],\n [0, -3, 8, 6],\n [-8, 2, 1, -2],\n [-6, -3, -7, -2],\n [-5, -5, -6, -3]]\nB =\n[[3, -1, -6, -3],\n [-5, -4, 8, 2],\n [-6, 5, -2, -9],\n [4, -7, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-8, 9, 5, 6],\n [9, -7, -10, 9],\n [-3, -10, 4, -8],\n [5, -6, 2, 10]]\nB =\n[[9, -6, -8, 2, -4, -1],\n [8, 0, -3, -5, -6, 3],\n [10, -6, -9, 1, -3, 9],\n [8, 5, 9, 4, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, 0, 7],\n [-5, 1, -4, 1],\n [5, -5, 7, 2],\n [-9, -4, -5, -6],\n [-5, 3, -9, 3],\n [-6, 10, -6, 7]]\nB =\n[[4, 4, -5, -1],\n [7, -9, 0, 6],\n [7, 10, 5, 10],\n [-7, -4, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-724", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, 7, -1],\n [0, -4, -1, -6],\n [-4, 6, 10, 10],\n [-5, -1, 8, 3],\n [-8, 4, -2, 2]]\nB =\n[[3, 8, 7, 6, -1, -1],\n [5, 6, 3, 9, 6, 9],\n [0, -3, 2, -10, -3, -1],\n [-6, 5, 9, 0, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-800", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, -3, -9, 5],\n [-2, 10, -7, 7, 7],\n [-5, 4, -7, 7, -1],\n [-9, 7, 4, 1, 10],\n [-1, -1, -7, 7, -3],\n [5, 10, 8, 6, -8]]\nB =\n[[-8, -4, 5, -4, 10],\n [-1, 7, -4, -8, -8],\n [2, 5, 2, 2, 9],\n [6, 3, 5, -9, 2],\n [10, -9, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-624", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -1, -10, -10, -6],\n [-2, 6, -7, -10, -3, 1],\n [7, 10, 6, 9, 3, 6],\n [-6, -6, 5, 7, 2, -3]]\nB =\n[[2, -7, 9, 7],\n [8, 10, 2, 3],\n [-3, 2, 7, 5],\n [-10, -5, -3, -10],\n [10, -8, -10, -7],\n [-7, 3, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, 6, 0],\n [5, 2, 10, 1],\n [-6, -3, 10, 7],\n [-5, 1, -9, 8],\n [10, -9, -9, -1],\n [9, -3, -1, -10]]\nB =\n[[6, -10, -7, -5],\n [9, 9, -1, 10],\n [-7, 5, -6, -7],\n [8, -10, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 10, -7, -6, 10],\n [-2, -9, 5, 0, 5],\n [-6, -1, 8, -10, -7],\n [0, -7, 7, 5, 5]]\nB =\n[[5, 4, -7, -8, 6, -1],\n [-1, -4, 2, 3, 1, 2],\n [-10, 7, 4, -8, 4, -9],\n [-4, 9, 9, -4, 4, 0],\n [0, -6, -8, -10, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1808", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -7, -9, 10],\n [-10, -5, 5, -7],\n [5, 9, -9, -1],\n [9, 0, -5, 5],\n [4, -5, -2, -7]]\nB =\n[[-9, 7, -1, -3],\n [7, 5, -2, -1],\n [-4, -7, 3, -10],\n [7, -6, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-7, -7, -1, 0, 2],\n [2, -7, -3, -2, 7],\n [6, 8, -2, 1, 6],\n [-9, 8, 9, -6, -3],\n [6, -6, 7, -3, -5],\n [-10, -10, 4, 1, 6]]\nB =\n[[3, 10, -2, 7],\n [5, -4, 8, -6],\n [8, -3, 2, -9],\n [-3, 1, 1, -1],\n [-4, -5, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -10, 10, 1, 9],\n [5, 7, 1, 1, -3],\n [-3, 10, -7, -8, -4],\n [-5, -6, -8, -7, -6],\n [1, -5, 4, 2, 1]]\nB =\n[[0, -3, -6, -10, 2],\n [10, -6, 0, 0, 0],\n [-9, -1, -4, 9, -7],\n [0, -3, -1, 8, 1],\n [3, -10, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -10, 1, 4, 6],\n [-10, -5, 1, 7, -10],\n [-2, 0, 1, -6, -4],\n [3, 7, 1, 5, -3]]\nB =\n[[4, 1, 10, -1, -6],\n [4, -1, 9, 6, 2],\n [-6, 7, -5, 0, 5],\n [-3, -6, 8, -9, 5],\n [0, 10, 0, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-254", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, -2, 6, 9, -6],\n [7, -9, 8, -7, 4, -2],\n [1, 5, -9, -9, 7, -9],\n [-3, -3, -4, -7, -4, 9]]\nB =\n[[7, -1, -8, 8, 2, -8],\n [-4, 10, 10, -2, 5, -10],\n [2, 1, 8, -2, 9, -8],\n [7, -1, -6, 0, 0, -10],\n [-6, 5, -3, 2, -9, 2],\n [8, -7, -8, -10, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1959", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 10, 1, -9],\n [-8, -6, -10, -3],\n [0, 10, 6, 9],\n [-1, -2, 9, 9],\n [-7, -10, -9, 9],\n [-9, 1, 4, 3]]\nB =\n[[5, 2, 1, -7, 3, 2],\n [1, -2, 5, 1, -7, 9],\n [-9, 9, 8, 3, 9, 6],\n [4, -4, -6, 1, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2349", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 1, -3, -4, -1],\n [5, 1, -8, -10, -7, -4],\n [5, -3, -2, 8, -5, 6],\n [8, 4, 4, 6, 10, -10],\n [-3, 1, -2, 8, -7, -3],\n [-1, -4, -6, 1, 2, -2]]\nB =\n[[1, -10, -8, -2, 6],\n [-6, 7, -2, 3, -6],\n [4, 8, -1, -2, -9],\n [-10, -6, 8, -9, -9],\n [7, 6, 8, 5, -3],\n [3, -10, -3, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-611", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 3, 3, 1, -4],\n [-4, 10, -2, -3, 8, 7],\n [4, 10, 9, -10, 2, 6],\n [7, -10, -8, -4, -2, -4],\n [7, -6, 2, -6, -4, 8]]\nB =\n[[-5, 6, 7, 6, 0],\n [-6, 7, 7, -4, -4],\n [1, 5, 2, -7, -8],\n [-6, 6, -6, 9, 10],\n [6, -9, -9, 6, 9],\n [-9, 3, -7, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, 3, 8, -1, 9],\n [-4, -2, 8, -7, 3, 6],\n [-6, -1, 1, -10, -10, 1],\n [-2, 2, 10, 8, 1, -8],\n [-3, -9, 5, 5, 8, 7]]\nB =\n[[-3, 2, -4, -7, 3, -8],\n [0, 1, -10, -8, -10, -2],\n [8, 9, 4, -5, -9, -2],\n [-3, 6, 6, -10, 1, 7],\n [7, 2, 6, 1, 6, -9],\n [2, -2, 5, 1, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -6, 6, -2, 2, 10],\n [-2, 1, -6, 3, 10, 4],\n [5, 9, -10, 10, -7, 6],\n [-1, -5, -5, 5, -7, 2],\n [1, 2, -6, -10, 2, -3]]\nB =\n[[-3, -9, -4, -8, 0, 4],\n [-8, -1, 2, -3, -5, 5],\n [4, -9, 3, 10, -7, -7],\n [5, -9, 7, 2, 0, -10],\n [4, -8, 4, 9, 6, -2],\n [5, -7, -7, -7, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2039", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 7, -3, 10, -4, -1],\n [3, 2, 10, 4, 5, 9],\n [8, 8, 6, 6, -9, -6],\n [8, 8, 4, 8, 0, -9]]\nB =\n[[0, -6, 3, -2, -4],\n [-1, 0, -6, 7, 4],\n [6, 2, -4, -1, 4],\n [7, -4, -2, 2, 2],\n [2, 5, 3, 2, -7],\n [2, -4, 10, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -6, -8, 7, 3, -5],\n [-10, -5, 2, 7, -7, -1],\n [0, 5, -6, -4, 8, -2],\n [3, 3, -2, -7, 7, 3]]\nB =\n[[-8, -6, -3, -7],\n [10, 7, -6, 6],\n [10, 8, -10, 10],\n [-1, -4, 5, 10],\n [0, -2, 4, 8],\n [-5, -5, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -1, 8, 3, 7],\n [8, 10, 7, -3, 10],\n [-8, 1, -9, -6, 0],\n [-9, 10, -10, -3, -6]]\nB =\n[[2, 9, -9, 3],\n [-4, 4, -8, 4],\n [1, -10, -10, 1],\n [-5, 1, -1, -1],\n [2, -1, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -9, 9, -7],\n [-10, -2, -2, 5, -3],\n [1, -10, -6, 3, 10],\n [10, -1, 0, -6, 8],\n [-9, 3, 8, -6, 10],\n [2, -2, 4, 1, 9]]\nB =\n[[-8, 7, -9, -5, 6],\n [4, 2, 2, 6, 6],\n [-7, 6, -7, -5, 8],\n [3, 0, -3, 9, -1],\n [8, 2, 10, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 10, -10, 5, 1],\n [9, -1, 4, -2, 8],\n [5, 2, 10, 9, -7],\n [-5, -8, 7, 6, -2],\n [6, -4, 9, -9, 7]]\nB =\n[[0, 3, -3, -7],\n [10, 10, 7, 1],\n [-7, 9, -9, 9],\n [9, -7, -5, 5],\n [-3, -1, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2011", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 9, -3, 6, -10, 9],\n [-4, 6, 2, -10, -9, -4],\n [3, 3, -9, 3, 10, -1],\n [-8, -5, -10, -4, -7, 1],\n [10, -9, -10, 10, 10, -6],\n [4, -8, 3, 5, -10, -5]]\nB =\n[[0, 3, 6, 2, 9],\n [-4, 3, -7, 5, -3],\n [-10, -1, -1, -6, 9],\n [-5, 0, -5, 10, -4],\n [10, -4, 8, -10, -6],\n [0, 4, 6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 7, -6, 6, -10, -8],\n [1, -1, 2, 2, -5, -2],\n [9, -10, -5, 7, -2, -1],\n [-10, 3, 8, 1, 2, 1],\n [5, -10, 8, -5, 6, 5]]\nB =\n[[-5, 10, -3, -4, 9],\n [10, -8, 10, -8, -6],\n [-7, -10, -8, 0, 3],\n [-5, 7, 5, -3, -7],\n [4, 2, -9, 3, 1],\n [-1, -5, 0, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -9, 9, -6, -9, 5],\n [-7, -4, -1, 7, -4, 10],\n [9, 2, -2, 5, 7, -9],\n [7, 0, 7, -6, 9, -10]]\nB =\n[[-8, -9, -2, 8],\n [1, 7, 0, -10],\n [5, -9, 1, 10],\n [-4, 1, 10, 8],\n [-4, 3, -3, -1],\n [-1, -2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, -7, -10, 1, 7],\n [1, 1, -6, 1, 6, -9],\n [10, 5, -9, -2, 9, 9],\n [6, -9, 3, 6, 3, 8],\n [-3, -3, -8, -6, -7, 8],\n [4, 10, -5, 4, 7, 3]]\nB =\n[[7, 0, 10, -10],\n [-3, 4, 1, -10],\n [-3, -3, 3, 0],\n [4, -5, -5, 2],\n [7, -3, -2, -1],\n [-6, 9, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1955", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -3, -5, -3, 7, 10],\n [-5, 1, -2, 3, -8, 6],\n [10, 0, 1, 2, 2, -4],\n [-7, -3, 1, -1, 3, 5],\n [-5, 5, 6, -7, -2, 5]]\nB =\n[[-7, 10, 0, 6],\n [-8, -8, 3, 8],\n [8, -8, 10, -5],\n [-8, 6, 3, 2],\n [5, 8, 7, 1],\n [2, -6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1515", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 6, -3, 5],\n [-6, 3, -5, -1],\n [8, 0, -9, 6],\n [-1, -8, -4, -3]]\nB =\n[[4, 4, -2, 6, -2],\n [2, -10, -6, -7, 0],\n [4, -8, 5, 0, 5],\n [-2, -4, -9, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 4, 7, -8],\n [-5, -4, -3, 9],\n [-1, -10, 3, -2],\n [-3, 10, 8, 5]]\nB =\n[[0, -2, -4, -4, -7],\n [-8, -9, 1, -5, -3],\n [6, 1, -9, -5, 3],\n [-6, 8, -3, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, -1, 4],\n [2, 0, 1, -5],\n [9, -5, 5, 6],\n [-6, -10, 0, -9],\n [8, -4, 1, -4],\n [-10, -4, 7, 10]]\nB =\n[[-10, -4, 6, 6, -1],\n [9, -8, 1, -6, 1],\n [-9, 10, -10, -3, -9],\n [9, 2, 2, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -1, -2, -2],\n [7, -10, 0, -6],\n [-10, 3, -9, -9],\n [-8, 3, -3, -7],\n [4, 5, -1, 7]]\nB =\n[[-9, 7, 2, -9, 7],\n [4, 2, -1, 7, 2],\n [3, -1, -2, 0, 8],\n [8, 3, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1465", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 2, -2, 0],\n [-3, 5, 3, 4],\n [-1, -8, -4, -1],\n [-10, 10, 1, 4],\n [7, 10, 8, -8],\n [-3, -6, 5, -7]]\nB =\n[[-6, -4, 8, -5, -10, -3],\n [-10, 4, -9, -10, 9, 10],\n [8, -4, -8, 3, 4, -8],\n [6, -3, 8, 9, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 10, -10, -10, 0],\n [2, 2, 10, 3, 4],\n [-7, -3, 2, 6, 0],\n [6, 2, -1, 9, 6],\n [2, 10, 9, 3, -9],\n [10, 0, 3, -8, 4]]\nB =\n[[3, 4, -10, 2],\n [9, -9, -1, 3],\n [8, -2, -3, -5],\n [2, -3, 7, -8],\n [-1, 3, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1683", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -9, 7, -8, 7],\n [-2, 7, 9, -10, -7],\n [-8, -9, -7, -7, 8],\n [-5, -10, 2, -3, -5],\n [4, -4, 0, 8, -9],\n [-2, -2, 0, 10, 3]]\nB =\n[[6, 6, -9, 6, 10],\n [3, 9, 0, 3, 1],\n [10, 10, 2, 1, -6],\n [-10, -4, -6, -3, 8],\n [-3, 2, -6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[5, -9, -4, 10, 6],\n [8, -1, 9, -5, -1],\n [3, -4, 6, -8, -8],\n [-4, -3, 4, 4, -9],\n [-2, 1, 8, 8, 5],\n [-7, -7, -6, -10, 6]]\nB =\n[[8, 0, -5, 5, 3, -6],\n [0, -6, 8, 7, -4, -7],\n [9, -8, 10, -9, -2, 2],\n [8, -9, -4, -1, 8, -5],\n [-1, -4, -2, 8, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -6, 1, -8, -9, -3],\n [2, 3, 5, -2, 4, 4],\n [9, -8, -10, -10, 2, -8],\n [-7, 6, -5, -10, -10, 9]]\nB =\n[[6, -8, -2, -5],\n [10, 3, 10, -9],\n [7, -10, 7, 6],\n [-2, 1, -3, 5],\n [-9, -6, -6, 5],\n [-6, 10, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -5, -3, 6, 0],\n [-1, 10, 3, 10, -6, 5],\n [4, -1, -7, -7, -2, -3],\n [6, 9, -7, -4, 1, -5],\n [-1, -2, 8, -6, -2, -7]]\nB =\n[[-2, -9, -9, -2, -4],\n [-1, -4, -2, 2, -7],\n [-1, 3, 4, -7, -6],\n [9, 3, 9, 5, 2],\n [4, 8, -9, -9, -7],\n [6, -5, 6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1687", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -10, -1, 0],\n [-6, 5, -3, 0],\n [-8, -4, 0, 10],\n [-1, 1, 6, -5]]\nB =\n[[10, -1, -7, -7],\n [3, -9, 10, -3],\n [-3, 5, -2, -6],\n [-8, -10, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-4, 10, 1, -4],\n [5, -2, -9, 8],\n [-8, -2, 6, -10],\n [-1, 6, 5, 2]]\nB =\n[[1, -1, 0, 2, 8],\n [-8, -2, 5, 1, 8],\n [6, 9, 5, -4, 10],\n [-10, -9, -8, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -3, -8, -7],\n [7, -7, 9, -10],\n [-2, 10, 9, -4],\n [-8, -1, -5, -8]]\nB =\n[[-6, -8, 10, 0, 4],\n [-2, 9, 4, 4, 9],\n [-2, 9, 0, -9, -9],\n [4, 3, 5, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -9, -10, 10, 5, 0],\n [0, -7, 9, 2, 6, -9],\n [-6, -3, -5, -3, -9, 10],\n [8, 0, -4, -7, -9, 3],\n [-2, 7, 7, 9, -4, 8]]\nB =\n[[-6, -5, -4, -8, 6, 8],\n [7, -7, 2, -4, -4, -10],\n [8, 8, 6, 0, 7, -1],\n [-7, 4, -6, -7, -3, 6],\n [5, 0, 2, -3, -5, 1],\n [-9, 2, 3, -10, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-10, 10, -5, -8, 3, 8],\n [2, 6, 10, 1, -9, 1],\n [-10, -5, -7, 2, -1, 10],\n [-6, 10, 1, -4, 7, 10],\n [-6, -10, 9, 7, -8, -9]]\nB =\n[[-8, 7, 8, 9],\n [3, -10, 5, 10],\n [-1, -3, -9, 3],\n [8, -9, 0, 2],\n [-7, -9, 8, 9],\n [4, 7, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 9, -1, -6],\n [4, -4, -6, -7],\n [2, 4, 5, -6],\n [4, 8, -9, 9],\n [1, -9, 6, 9]]\nB =\n[[0, 10, -7, 8, 9],\n [8, -2, -2, -9, 1],\n [6, 10, 5, 4, 9],\n [-7, 8, 6, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1678", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -2, 4, 5, 6],\n [6, 1, 9, -1, 6],\n [-9, -9, -9, -6, 1],\n [-7, -7, -8, 7, 10]]\nB =\n[[10, 8, 8, 1, -5],\n [4, -4, 4, -8, -7],\n [-1, 4, -8, 3, 3],\n [2, 1, 6, -6, 6],\n [1, 5, -8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 7, -8, 0, -1, 5],\n [3, 6, 7, 3, -6, 3],\n [-10, 0, 4, 3, 8, -3],\n [10, 7, 6, 6, 10, -2],\n [-1, 8, -4, 6, 7, -8]]\nB =\n[[-6, 6, -3, 5, 6, 1],\n [0, -6, 9, -7, 7, -7],\n [2, -2, -3, -10, 2, -5],\n [10, 4, -7, -8, 2, 10],\n [-1, 6, 0, 2, 9, 2],\n [-1, 2, -3, 4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 0, 10, 4, 10, -4],\n [10, 7, -9, 2, 8, -10],\n [4, 6, -6, 10, -1, -1],\n [4, 9, 10, 5, -8, 5],\n [4, -8, -2, -5, 8, -5]]\nB =\n[[9, -1, -9, 0, 8],\n [4, -3, -7, -4, 1],\n [-6, 8, 1, 9, -3],\n [-10, 7, -3, 6, 5],\n [6, 4, -8, 4, 10],\n [-2, -3, 9, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 10, -8, 5, 8, 7],\n [-2, -2, 7, -1, -4, 9],\n [7, -7, 3, -9, 10, 4],\n [-4, 1, -8, -2, -2, 3],\n [-4, 8, -7, 6, 5, 8]]\nB =\n[[-3, 3, -9, -1],\n [4, 2, 8, -4],\n [4, 1, -9, 8],\n [-7, 9, 5, 0],\n [-10, 9, -7, -10],\n [-5, -7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-556", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -5, -1],\n [-2, -1, 9, -6],\n [-10, -7, 7, 8],\n [3, -9, -2, -5],\n [-8, 2, -6, -8],\n [5, -1, -10, -8]]\nB =\n[[-8, 4, -9, -7, -6],\n [-8, 3, -7, -3, 1],\n [2, -10, -10, -2, -8],\n [5, -7, 7, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "602", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -4, 10, -8],\n [-7, 7, 10, 2, -3],\n [7, -9, 5, 8, 0],\n [-2, 9, 5, -5, 2],\n [-9, -2, -2, -4, 3],\n [6, 8, 4, -3, -2]]\nB =\n[[2, 0, 8, -3, -1, 0],\n [3, -9, -5, -2, 1, 1],\n [10, 1, 9, 10, -5, -8],\n [7, 3, -5, -9, -9, -3],\n [3, 10, -9, -7, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -9, -9, -5, -7],\n [-5, -7, -2, -6, 0],\n [-8, 8, 1, 2, 0],\n [4, 1, -6, -5, -1]]\nB =\n[[4, -6, 6, -5, -3, 1],\n [-9, -7, 7, -10, 1, 4],\n [-4, 3, -10, 1, 0, -6],\n [-1, -4, -9, -6, -3, 0],\n [-9, -9, -7, -9, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1443", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 3, 2, 9],\n [3, -2, 5, 0],\n [10, 5, 6, -2],\n [1, 3, 4, -8],\n [-1, 0, 1, 7],\n [6, 3, -7, 3]]\nB =\n[[2, 9, -6, 1],\n [5, -6, 10, -7],\n [-6, -5, -5, 8],\n [1, 1, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 8, 4, 8],\n [6, 5, -9, 8],\n [-10, -4, 0, -5],\n [2, -5, -3, 0],\n [7, -9, -5, -1]]\nB =\n[[-3, -7, 4, -2, 7],\n [-9, -9, 2, 5, 0],\n [-7, -3, 4, 9, -1],\n [-2, 2, 10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1575", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[7, 3, -8, -6, -9, -7],\n [1, -6, 10, 0, 3, 0],\n [1, -3, 9, 6, 10, 9],\n [9, 0, -4, -9, -7, -10],\n [7, -10, 1, 8, 10, 4],\n [10, -9, -8, 9, 4, 9]]\nB =\n[[-3, 4, 3, -9, 0],\n [4, 3, 3, -2, 7],\n [-2, -6, -8, -8, 1],\n [7, 0, -3, -10, 5],\n [0, 4, -3, 0, -5],\n [-4, 4, 5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, 8, 5, 4],\n [-1, 9, 9, 9, -7],\n [-2, 10, -5, -4, -7],\n [-1, 0, 6, -1, -6],\n [-10, 1, 1, 10, 7],\n [9, 6, -1, -7, 4]]\nB =\n[[-3, 6, -3, 10],\n [-4, 9, -6, -10],\n [3, 7, -5, -10],\n [-2, 3, 4, -10],\n [0, 5, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[2, 6, 1, -9, 7],\n [-6, 5, -10, -10, 8],\n [-3, -9, -5, -1, -8],\n [7, 10, 4, -7, -4],\n [-3, -10, 3, 8, -9],\n [6, 5, 4, 4, -4]]\nB =\n[[3, -2, 3, -10],\n [-2, -3, 6, 3],\n [-3, -5, -9, 3],\n [-10, 5, -4, 10],\n [8, 0, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -8, -1, -7, 2, -9],\n [-10, 5, 1, -7, 4, 0],\n [-2, -3, 7, -5, 1, 10],\n [6, -5, -1, -10, -6, -3]]\nB =\n[[-4, -3, -9, -7],\n [1, 9, 2, 8],\n [-7, 3, 4, -9],\n [10, -3, 7, -3],\n [4, -9, -3, -4],\n [-8, 0, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 9, 1, -2, 4, 8],\n [10, 0, 1, 1, 6, 7],\n [-3, -6, 3, -8, 3, -4],\n [-1, 0, -10, -1, 4, 3],\n [-1, 0, 7, -1, 0, 8]]\nB =\n[[-6, 7, -1, -10, 4],\n [5, 5, 9, 1, -7],\n [5, 3, 4, 6, 6],\n [-3, -10, 8, 7, -6],\n [7, 9, -7, -3, 5],\n [-5, 1, -10, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1662", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, 5, 10, 6],\n [2, 7, 10, 6, 4],\n [-10, -10, 8, 6, 0],\n [5, 5, 0, 6, 5],\n [1, -1, -6, 5, 3]]\nB =\n[[7, 2, 7, -9],\n [4, 1, 3, -5],\n [-2, 3, -7, -2],\n [7, -4, -7, -2],\n [1, -7, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 0, -1, 6],\n [9, -1, 10, 4],\n [7, 2, -6, 4],\n [-1, -3, 5, 4],\n [-4, 5, 0, -2],\n [7, 3, 3, -1]]\nB =\n[[10, -7, -3, 0, 3, -2],\n [4, -6, 9, -4, -8, -4],\n [10, 3, -1, 6, -3, 5],\n [-4, 5, 9, -8, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -8, 1, -6, 4],\n [2, 3, 0, 8, -6],\n [9, -4, -5, 5, 0],\n [-2, 5, -7, -7, 3],\n [-10, -1, -4, 5, 2]]\nB =\n[[8, 1, 3, 1],\n [4, -4, 8, -9],\n [-10, 0, 1, -3],\n [-1, 3, 6, 0],\n [3, 6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, -5, 3, 8, -6],\n [4, 3, 7, 2, -6, 5],\n [6, 10, 8, -7, -2, 6],\n [-3, -7, -5, -1, -4, 1],\n [-1, 2, -4, 10, -10, -3]]\nB =\n[[2, 4, 7, 5, -9, -8],\n [-9, 8, -2, 0, 5, 4],\n [8, 10, -10, -9, 4, -7],\n [-5, 4, -5, 4, 4, 8],\n [3, -4, 10, -4, -10, 4],\n [8, -4, 2, 6, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 9, -9, 3, 6],\n [5, 9, -9, 1, -3],\n [2, 10, -8, -3, 8],\n [-4, -10, -8, -4, 4],\n [2, 5, -9, -10, -9],\n [2, -6, -10, 9, 10]]\nB =\n[[-9, -2, -8, 3, 3],\n [8, -9, 4, 8, 4],\n [6, 2, -5, -3, 5],\n [6, 10, -8, 5, -10],\n [8, 2, -7, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2488", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 10, -2, -7, -6, 2],\n [1, -9, 7, -4, 7, -2],\n [0, 7, -6, -1, -8, 6],\n [-9, -8, 4, 10, 10, 9],\n [0, 5, 6, -5, 2, 4]]\nB =\n[[-10, 0, 10, -8, 6],\n [-10, -5, -4, 6, 0],\n [1, -4, 4, 0, -1],\n [-5, 6, 2, 9, -3],\n [5, 8, 2, -10, 4],\n [4, 3, 0, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1891", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 0, 1, 0, 3, 7],\n [10, -5, -6, -5, -6, -10],\n [-3, -7, -3, 9, 5, 0],\n [1, -3, -1, 4, 9, 1],\n [6, -8, -7, 10, 3, -2],\n [-7, -7, 3, -4, -1, -5]]\nB =\n[[5, 5, -10, 7, 9],\n [7, 1, 7, 1, 5],\n [1, -8, -3, 1, -6],\n [-6, 9, 5, 7, -7],\n [0, 10, -8, -8, 7],\n [8, 3, -10, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[8, 8, -9, 8, 10, 4],\n [-10, -1, 0, 3, 2, 6],\n [-4, 9, -7, 2, -7, 4],\n [3, 6, 3, -6, 0, -4],\n [2, -10, 10, 9, -4, -6],\n [-9, 3, 2, 1, 4, -4]]\nB =\n[[6, -2, 6, 0],\n [0, 10, -2, 6],\n [-4, -9, -3, 3],\n [-10, 1, 3, -4],\n [-6, 5, 10, -6],\n [-5, -7, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-6, -2, -3, -3],\n [-7, 2, -7, 7],\n [6, 4, 5, -9],\n [-10, -8, 5, -10],\n [0, -2, -3, -3],\n [9, 10, -3, -5]]\nB =\n[[-7, 7, -8, 5, -6, 2],\n [-8, 6, -5, 3, -6, -8],\n [3, -2, -6, 7, 8, -5],\n [-8, 9, -2, -9, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 8, -5, -3, -10],\n [7, -5, 0, 5, 2],\n [0, 4, -8, -2, -3],\n [3, -7, -5, -2, -2],\n [3, -5, -1, 2, 9]]\nB =\n[[1, 10, 4, 7],\n [2, -2, 2, 9],\n [1, 2, 9, -7],\n [-7, -7, -8, -2],\n [-1, -6, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-1, -3, 3, 1, 5],\n [-5, 4, -10, -6, 9],\n [-6, -9, 2, 9, -4],\n [2, -3, 6, 5, -2]]\nB =\n[[7, -8, -6, 9],\n [-8, 0, -8, -9],\n [6, 1, 5, -3],\n [-9, -2, -10, -6],\n [3, 9, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -5, -10, -5, -10, 0],\n [1, 10, -6, 9, -4, -5],\n [-7, 2, -5, 0, -5, -10],\n [-10, -9, 0, -6, 0, 4],\n [-10, 1, -10, -1, 9, -5]]\nB =\n[[5, 5, 10, 4, 8, 4],\n [6, -5, 3, 1, -3, 0],\n [-7, 5, 9, 3, 6, -1],\n [-5, 1, -9, 8, 5, -6],\n [-10, 6, 9, -8, 0, 5],\n [-8, -1, 0, 9, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2665", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-1, 7, 1, 1, 9, 7],\n [-4, 9, -3, -3, 3, 6],\n [-6, 9, 0, 0, -8, -4],\n [5, 5, -5, 1, 3, -7],\n [-8, -4, 1, 9, -2, -10],\n [-6, 3, -7, -10, -8, 4]]\nB =\n[[3, 8, 2, 3, -5, -10],\n [5, -10, 9, 1, -3, 8],\n [9, -3, 4, 6, 10, 7],\n [-4, -9, -6, 8, 4, 3],\n [9, -7, -4, 6, -1, 7],\n [-6, 2, 6, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, -10, 8],\n [-7, -3, 5, -8],\n [-5, 0, -10, -3],\n [-6, -9, 1, 3],\n [5, -2, 9, 3]]\nB =\n[[-1, 8, 1, 1],\n [2, -3, 2, 1],\n [-9, 8, 8, 5],\n [7, 4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, 9, 4, 5],\n [8, 0, 2, -7, 2],\n [9, 9, 3, -1, -7],\n [0, -1, -9, -5, 10]]\nB =\n[[1, 4, -8, 5, -5],\n [6, 9, -4, 7, -5],\n [-9, -4, -2, -8, 3],\n [1, -4, 1, 7, -10],\n [-10, -6, -10, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-302", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, 2, -10, 5, 2, -2],\n [-9, 10, 5, 9, 7, -6],\n [3, -9, 1, 10, -4, 6],\n [4, 6, 5, 7, -9, -4],\n [7, -6, -4, 9, 7, 7]]\nB =\n[[10, 8, -10, -8, -9],\n [-8, 8, 10, -3, -5],\n [-4, -8, 1, 1, -10],\n [6, 10, -3, 7, -2],\n [-3, -1, 8, -6, 9],\n [7, -2, 9, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-3, 5, -6, 10],\n [-9, -8, -5, -2],\n [6, 5, 1, 2],\n [3, 3, -6, -3],\n [-9, 0, 5, 4],\n [-6, 6, 9, 8]]\nB =\n[[6, 2, 2, -8, 10, -3],\n [-8, 0, -4, -5, 2, -1],\n [-8, -9, 2, 5, -9, -3],\n [-5, -1, 3, 2, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 8, -6, -1, -1, -10],\n [-4, -2, -3, 4, -6, -7],\n [9, 6, 9, 6, 8, -9],\n [8, -5, 6, -5, -1, 1],\n [6, 1, 0, -2, -8, 0]]\nB =\n[[0, -7, -10, -5, 9, 1],\n [-5, -5, 9, 0, -9, -9],\n [-6, -5, -5, -2, -8, -7],\n [-7, -3, 8, -8, 9, -2],\n [1, -7, 0, 6, -5, 3],\n [9, -7, 3, -5, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-727", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 5, -3, -4, -1],\n [4, -2, -7, 0, 6],\n [-7, -7, 9, -9, -2],\n [-8, 2, -3, -7, 6]]\nB =\n[[6, 10, -6, -5, -8, -5],\n [-2, -4, -4, 4, 4, -9],\n [4, -5, -8, 6, 10, 5],\n [4, 5, -1, 4, -7, 2],\n [9, 1, -1, 8, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-2, -2, 3, -6],\n [8, 10, 3, 0],\n [-4, -6, 6, -5],\n [-3, -1, -9, -4],\n [6, 10, 2, -6]]\nB =\n[[0, -4, -3, -1, -7],\n [-1, 1, -4, -9, 10],\n [6, 5, -6, 9, 6],\n [6, 2, -5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 5, -3, 10, -9],\n [5, -2, 4, -1, -2],\n [2, 1, 2, 5, 10],\n [2, -5, -10, 4, -10]]\nB =\n[[4, 6, 6, 1],\n [-2, 6, 7, 6],\n [10, 5, -4, 6],\n [-8, 1, 8, -9],\n [5, -8, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 7, 8, -4],\n [-8, -8, -6, 2],\n [-7, 6, 0, -3],\n [1, 9, -4, -4],\n [9, -6, 6, 3],\n [-6, 8, -3, 9]]\nB =\n[[-1, 6, -5, -8, 8, -2],\n [-8, 10, 2, -9, -3, -10],\n [5, 5, -1, 4, -9, -6],\n [2, -8, 1, 10, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-298", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, 9, -10],\n [-2, 5, -3, -10],\n [4, 6, 10, 8],\n [6, 5, 8, 3],\n [9, -10, 6, -4]]\nB =\n[[4, 7, -10, -9],\n [-1, 0, -7, 7],\n [6, 4, -3, -1],\n [4, -8, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 6, 5, -8, -1],\n [-7, -3, -8, 5, -10],\n [-2, -2, -1, 10, -6],\n [1, -5, 4, 10, -3]]\nB =\n[[4, 9, 10, 9, 3],\n [0, 0, -2, 10, -2],\n [0, -2, -5, 8, -4],\n [-5, -9, -4, -7, 9],\n [-2, -7, 2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -7, 0],\n [-3, 4, -9, -4, -3],\n [-1, 6, 7, 4, 4],\n [7, -4, 1, 5, 0],\n [-3, -8, -2, 10, 7],\n [3, 8, 0, 6, 10]]\nB =\n[[2, -7, -8, 9],\n [5, -10, -8, 0],\n [8, 2, -6, -10],\n [1, -10, 7, -1],\n [3, -2, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, 0, -8],\n [-5, 9, -6, -5],\n [6, 1, -7, 7],\n [2, -10, -3, -2]]\nB =\n[[5, 1, 6, 6, -2, 2],\n [-2, -5, 2, -4, -2, -2],\n [-1, 7, 0, 3, -6, 5],\n [10, -10, -2, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[2, -4, 7, 1, -9, 3],\n [-1, 1, -6, -3, -2, 0],\n [10, -6, 4, 8, -1, -8],\n [-5, -2, -3, 7, -7, 8],\n [-4, -3, 9, -7, -1, 2],\n [-4, 1, -5, 3, 0, 6]]\nB =\n[[4, 8, 8, -5, -3],\n [0, 8, -1, -2, 5],\n [-4, 0, -5, 9, -8],\n [7, 6, 9, -5, -2],\n [-2, -9, -9, -4, 0],\n [-7, -10, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -2, 6, -3, -7],\n [-7, -3, -4, -8, -2],\n [-5, -9, -1, 7, 4],\n [-1, -1, -8, -8, -4],\n [-6, -4, 6, -1, 9],\n [1, -2, -1, 7, 3]]\nB =\n[[-7, -3, 10, -6, -7],\n [0, 8, -8, 0, -4],\n [4, 7, 1, 6, 9],\n [7, -2, -9, 8, -10],\n [0, -4, -4, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 7, 0, 2],\n [-4, -8, 7, -5],\n [1, 0, 8, -3],\n [-1, 10, -8, -6],\n [0, 3, -3, -9]]\nB =\n[[-6, -4, 8, 1, -1],\n [10, -10, -9, 4, -7],\n [6, -4, 3, -10, 7],\n [-4, 2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, -1, 9, 0, 4],\n [-5, 0, 2, 7, -1, -2],\n [-1, -6, 9, -6, -9, 4],\n [-7, 1, 4, 3, 6, 9],\n [1, -4, -7, -6, 9, 4]]\nB =\n[[-9, 8, -2, -2],\n [-3, -9, -8, -7],\n [6, 3, 2, 6],\n [7, 1, -3, -1],\n [2, -4, -10, -4],\n [-4, 5, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -1, -1, 3, -10, 7],\n [-10, 2, -4, -7, -10, -7],\n [-1, 8, -2, 8, -1, -7],\n [0, 7, 1, 0, 3, -4]]\nB =\n[[4, -2, 6, 3, 7],\n [1, 0, 9, -5, -5],\n [-5, 4, 6, 1, 0],\n [-10, 2, -9, 0, 7],\n [-1, 9, 7, 7, 9],\n [10, -7, -8, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-712", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 3, 3, -2, 9],\n [4, -2, 9, 2, -9],\n [-2, 5, 0, -7, -5],\n [-9, 4, -9, 10, -6],\n [-5, -3, 0, 2, 9],\n [0, -4, -8, 6, 6]]\nB =\n[[6, -4, 0, -2],\n [7, -2, -3, 8],\n [-6, 3, -9, 1],\n [-5, 9, -9, 0],\n [1, 1, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, 7, -5],\n [1, -9, 2, 6],\n [10, -8, 7, -5],\n [-2, -1, 8, -3]]\nB =\n[[8, -1, -3, 2],\n [-7, -9, -10, 2],\n [6, -7, 0, 2],\n [1, -8, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -5, 8, 0, 1],\n [2, 6, -6, -3, 4],\n [-7, -3, 1, 9, 1],\n [9, -1, -7, 0, 2],\n [-8, 8, 8, 10, 1]]\nB =\n[[-2, 0, 7, 8, 2, 0],\n [-7, 7, 8, 7, 8, 9],\n [-3, -4, 9, 8, 7, 0],\n [2, -2, -9, -6, 2, 1],\n [8, -5, 8, -7, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 7, -3, 0],\n [0, -6, 5, -1],\n [5, -10, 0, -10],\n [-6, 8, 4, 2],\n [6, -10, -8, 1]]\nB =\n[[-3, 3, 0, -3, -10],\n [-6, -5, -6, -6, 6],\n [4, -6, 10, -7, -9],\n [-2, -3, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 6, 5, -2, 10, -3],\n [-8, 2, -4, 4, 8, -8],\n [-10, 10, -4, -8, 0, 9],\n [2, 5, 5, 0, 9, -4]]\nB =\n[[6, 1, 10, 0, 2],\n [10, -10, 4, 4, -6],\n [-3, 5, -4, -3, 9],\n [1, -10, 4, -5, 5],\n [9, -10, -10, 3, -8],\n [-3, 4, -3, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-718", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -3, 10, 1],\n [2, -7, 5, -3],\n [-3, 6, -7, 9],\n [-4, -1, -10, 8],\n [1, 9, 7, -9],\n [5, -10, -10, -3]]\nB =\n[[-7, -9, 3, 9],\n [-5, -1, -8, 9],\n [8, 1, 2, 10],\n [-8, 10, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -6, -1, 10, 2],\n [-8, -2, -10, -8, 6],\n [-7, 6, 2, -5, -1],\n [-2, -3, 0, -1, -6]]\nB =\n[[5, -4, 9, -2, 3, 7],\n [-7, -8, -2, 1, -1, -8],\n [-7, 1, -7, 5, -8, -7],\n [3, 6, 6, 3, 8, 3],\n [4, 4, -9, -6, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -8, -4, -1],\n [5, 4, 5, -5],\n [0, 1, 9, 2],\n [-4, 9, 2, 10]]\nB =\n[[8, -2, 4, -3, 2],\n [-9, 3, 9, -6, 2],\n [-7, -4, 2, -9, 1],\n [8, -8, 6, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -6, 3, 6, -9, -9],\n [6, 0, 0, 9, 4, 4],\n [5, 0, 1, 5, -8, -3],\n [-1, -5, -1, 7, -10, -10]]\nB =\n[[-4, 2, -4, -9],\n [-8, 7, -6, -3],\n [-9, -9, -7, -10],\n [-2, 4, -5, 9],\n [8, -10, 7, 1],\n [-8, 3, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 5, 0, 4],\n [-7, 7, -7, 9],\n [1, -7, 9, 2],\n [-4, 10, -6, -4]]\nB =\n[[9, 0, 3, 10, 9, -1],\n [2, 4, -3, 4, -3, 10],\n [-4, 7, 1, 1, -3, 2],\n [-3, 7, -3, -10, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -4, -5, 0, -8, 3],\n [-6, 0, -5, 0, -1, 5],\n [5, -5, -2, 8, 0, -5],\n [4, -9, 10, -6, -7, -6],\n [-9, 0, -3, -7, -5, -8],\n [-5, 0, 9, 9, -3, 7]]\nB =\n[[-8, 5, 2, -4, -1, 10],\n [3, 7, 1, 3, 10, -6],\n [4, -5, 7, 10, 8, -3],\n [6, -9, -5, -6, -5, -2],\n [8, 7, -4, 8, 9, -9],\n [4, 3, -10, 7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -5, 10, 10, 10],\n [3, 9, -2, -3, 0],\n [8, -3, -3, 7, 0],\n [7, 6, 5, -10, -10],\n [9, -1, 4, 2, -9],\n [-10, -5, 5, -4, 1]]\nB =\n[[-7, 9, -7, -6, 2, 3],\n [1, 6, -5, -9, -3, -10],\n [4, -10, -2, 1, 8, -9],\n [3, 8, -1, 0, 8, -7],\n [-3, -10, -2, -10, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, -10, -8, -7, -1, 3],\n [2, 3, 7, 2, -5, 8],\n [-2, -8, -5, 4, -2, 8],\n [2, -7, -5, 1, -2, 10]]\nB =\n[[-9, 9, -6, 10, -10],\n [0, 5, -8, -2, -4],\n [-10, 7, 9, -5, -7],\n [10, -7, 2, -4, 9],\n [-3, -5, -6, -1, 4],\n [1, 6, 3, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -8, -6, -7, 8],\n [8, -10, 7, 10, -10],\n [4, 6, 1, 5, -6],\n [-2, -6, -9, 8, -7],\n [9, 9, 8, 5, -4],\n [-8, -3, 0, 1, 0]]\nB =\n[[-9, 6, -10, 10, -6],\n [-5, 0, -7, 5, -7],\n [-10, -4, 0, -3, 7],\n [8, 1, 3, 7, 1],\n [0, 7, 9, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 5, 2, -9, 6, 10],\n [4, -7, -4, 1, -7, 3],\n [0, 8, 7, -10, 9, 1],\n [8, 5, 5, -8, -1, 4],\n [6, 4, 1, -5, -9, -6],\n [3, 10, 8, 0, -7, -4]]\nB =\n[[-2, 6, -9, -7, -4],\n [-1, -4, 7, 6, -8],\n [-4, 8, 9, 4, -2],\n [-6, -4, -1, 2, 0],\n [-1, -8, 10, 5, -2],\n [-5, -1, 9, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-2, 4, 8, -4, 7, -4],\n [3, 10, 1, 6, -3, 6],\n [-6, -4, -3, 1, 2, -7],\n [-4, 0, 0, -3, -2, -9]]\nB =\n[[0, -10, 1, -4, 10],\n [3, 7, -9, -10, -10],\n [10, 1, 9, -8, 8],\n [10, 1, -2, -10, -9],\n [2, -6, 1, -8, 9],\n [6, -9, -8, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[3, -4, -6, 8, 3, -6],\n [-3, -5, 8, 1, 8, -6],\n [2, -9, -1, -6, 0, 4],\n [5, -6, 0, 4, -2, 10]]\nB =\n[[-3, -4, 5, 1, 6],\n [7, 1, 0, 7, -7],\n [-7, -5, -5, 2, 7],\n [-10, -3, 0, -5, -1],\n [6, 7, -4, -5, -4],\n [1, 10, 8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -4, -6, -4, 7, 6],\n [1, 0, 8, 2, 8, -7],\n [9, -7, 5, -1, -3, 2],\n [2, -4, -2, 8, 9, 5],\n [-2, -7, 8, -7, 2, 5],\n [-4, 0, 1, -4, 7, 3]]\nB =\n[[0, -8, -1, -7, -8, -1],\n [-3, 7, 4, 3, 7, 3],\n [-8, -9, -9, -8, -10, -1],\n [9, -5, 4, 7, 9, 3],\n [7, -8, 1, -1, -8, 9],\n [6, 2, 7, 8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1394", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, 2, 4, 10],\n [7, -2, 3, 0, 9],\n [6, 4, -8, 3, -7],\n [2, 9, 7, 1, 1],\n [3, 10, 8, -9, -2]]\nB =\n[[5, 7, -10, -1],\n [2, -3, 0, -6],\n [-9, -2, -3, 10],\n [10, -6, 7, -8],\n [7, -4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, -6, 2, -7, -7],\n [-1, -8, -9, 9, 10, -7],\n [-1, -3, 5, -7, 6, 2],\n [6, -8, 8, -6, 0, 8]]\nB =\n[[3, 5, 6, -5, 6, -4],\n [6, -5, -9, -10, 5, -6],\n [7, -4, 4, -3, -8, -3],\n [-6, 5, -10, -10, 1, -10],\n [-3, 3, 4, 1, -8, -1],\n [-2, -4, -10, -10, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 1, -6, 1, 5, 9],\n [-2, -7, -5, -5, 7, 7],\n [0, -7, -8, 4, 5, 5],\n [1, 9, 7, 7, -3, -6],\n [7, -8, -8, -3, -5, 1],\n [-3, 4, 5, -10, 6, 10]]\nB =\n[[9, -7, -2, 1, 2, 1],\n [-3, -2, -10, -5, -10, -3],\n [-6, 7, -1, -6, 6, 5],\n [-7, 8, 0, 6, 3, 5],\n [-3, -3, -1, -6, -9, -7],\n [-7, -3, 4, -2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 5, 2, 9, -6, -4],\n [6, 4, 5, 2, 1, -7],\n [-9, -4, 4, 5, -2, 4],\n [10, -7, -10, 2, -3, -3],\n [6, 3, 7, 9, 7, 7]]\nB =\n[[-2, -1, -4, 3],\n [1, -5, 3, 9],\n [-6, -8, -8, 10],\n [9, -1, 3, 10],\n [7, -10, 2, 8],\n [-10, 5, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -6, -7, 6, 4],\n [-6, -3, 9, -5, 1],\n [9, -4, -5, -4, -3],\n [10, 8, 3, -8, -3],\n [4, -1, -3, -9, -8],\n [-8, 2, 7, -5, -1]]\nB =\n[[2, 10, -10, -1],\n [-10, 7, 9, 8],\n [6, -8, -6, 0],\n [7, -10, 1, 2],\n [3, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1551", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 2, 8, 3],\n [3, 1, -6, -4],\n [3, 2, 5, -10],\n [-2, 5, -2, -6],\n [-1, -4, 3, -6],\n [-1, -9, -9, -6]]\nB =\n[[-5, -10, 1, 0],\n [8, -3, -2, 6],\n [-8, -4, -5, 6],\n [10, 9, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-577", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -9, -8, -9],\n [0, -2, -6, -3],\n [-2, -8, 7, -7],\n [-3, -4, 7, 2],\n [-1, -6, 1, 3]]\nB =\n[[6, -3, -3, 3, 2],\n [2, 2, 7, 10, 3],\n [0, 3, -2, 6, 2],\n [4, 7, 10, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "970", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 10, -7, -9, -1, -3],\n [4, -4, -3, 8, 8, 9],\n [-9, 3, 3, 1, -4, 8],\n [-6, 5, -8, -6, 1, 4],\n [4, 5, -5, 8, -5, -3],\n [-8, -6, -4, -7, -3, -10]]\nB =\n[[3, 4, 3, -6, -8],\n [1, 1, -7, -10, -9],\n [-9, -10, 10, 3, 1],\n [-6, -9, 10, 1, -8],\n [-5, 5, 1, 5, -7],\n [-9, -4, -5, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -9, 8, -7],\n [-6, -10, 0, -7],\n [3, -4, -9, -2],\n [-8, 5, -10, 10],\n [3, -2, 5, 4],\n [10, -6, 3, -9]]\nB =\n[[10, 0, 9, 1],\n [5, 4, -1, 8],\n [9, 10, -9, 4],\n [10, -9, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, -9, 8],\n [-6, 9, -8, 1],\n [0, 2, -5, -4],\n [-4, -7, 10, -3],\n [-8, -4, 2, 3]]\nB =\n[[5, 5, 4, 7, 5],\n [-8, -7, 0, -8, 0],\n [-9, 5, -5, 10, 5],\n [0, 4, 8, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1469", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 0, -2, -10, 7, -9],\n [7, 1, 4, 4, -2, 2],\n [-7, -6, 0, 5, -6, 4],\n [8, -5, -2, 3, 10, 3],\n [5, 4, 2, 2, 3, 2],\n [4, -2, -8, 0, 5, 2]]\nB =\n[[-3, -5, 1, 4, -2, 3],\n [4, -7, -9, 9, -7, 5],\n [-7, -5, -2, -5, -5, 9],\n [7, 9, 10, -10, 3, 2],\n [-5, 9, -10, 6, 7, 5],\n [8, 0, 6, 8, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 4, 9, -7],\n [-7, -9, -5, -6],\n [5, 0, -4, -9],\n [-1, -5, 1, -1]]\nB =\n[[0, 8, 4, -9, 4, -2],\n [8, -8, -9, 1, 1, -10],\n [10, 0, -4, 4, 8, 6],\n [3, -3, -7, -7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, 1, -9, -1, -2],\n [8, 5, -9, -7, -5, -2],\n [-8, -7, -8, 6, 9, -8],\n [9, 0, 4, 0, 2, -6],\n [-3, -9, 8, 1, -2, 8]]\nB =\n[[2, -7, -5, 6, 5, 5],\n [-4, 3, 0, -10, -3, -9],\n [5, 9, 5, 0, -2, -9],\n [-8, 5, 1, 6, 0, -6],\n [0, 5, -1, 10, 0, -3],\n [6, 9, 6, 9, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 10, -7, 0, 6, -4],\n [3, -8, 8, 3, 2, -1],\n [-10, -3, 7, 4, -6, 0],\n [-3, 2, 5, -10, 2, 8],\n [-8, 1, 2, 0, -4, 1],\n [4, 4, -4, 4, 9, -10]]\nB =\n[[4, 7, -5, -9, 2, -6],\n [1, -3, 10, 0, 8, -9],\n [5, 8, -2, 4, -10, 6],\n [1, -4, -6, 0, -4, -9],\n [4, 8, -7, -1, 9, 7],\n [-7, 4, 6, -1, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -8, 8, -10],\n [-8, -10, -3, 5],\n [2, -4, -4, -2],\n [-9, 0, -6, 7]]\nB =\n[[0, -3, 0, 9],\n [-8, -2, -4, 8],\n [-8, 10, -7, 10],\n [7, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 5, -1, 2],\n [1, 7, -1, -6],\n [-6, -2, 5, -8],\n [-3, 1, -9, -5]]\nB =\n[[-1, 0, -5, -4],\n [2, -6, 8, -2],\n [1, 4, -8, -6],\n [-9, -9, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "735", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 9, 6, -10, 2],\n [-6, 7, 7, -5, -7],\n [-7, -2, 10, -3, 2],\n [-1, 3, 8, 4, 7],\n [-5, 1, -9, 0, -3],\n [-6, 5, 2, 0, -10]]\nB =\n[[9, -9, 9, -6, 9, 0],\n [5, -9, 6, -4, 8, 9],\n [-8, 6, -10, 7, -10, 9],\n [8, 2, 0, -9, -9, -2],\n [0, -2, 2, -9, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, 7, -7],\n [6, -7, -8, 3],\n [0, 9, 6, -7],\n [-9, 5, 9, -2],\n [-5, -4, 10, 1]]\nB =\n[[1, -9, -3, -8, 6, -6],\n [-4, 0, 0, -8, 5, 5],\n [-6, -7, 7, -3, -10, 9],\n [-10, -3, -1, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -9, 3, -5],\n [-3, 9, -7, -3],\n [6, 3, -3, 3],\n [-1, -6, -8, 5],\n [-5, 10, 1, 9],\n [-5, 1, 4, 0]]\nB =\n[[5, -9, -7, -10],\n [4, 1, 1, -6],\n [-8, -7, 5, 5],\n [4, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 0, 1, 3, 4, -5],\n [-4, 0, 3, 3, -6, 0],\n [1, -9, -4, -7, -7, -5],\n [9, -6, 2, 1, -2, -4],\n [-3, -4, 1, -8, -2, -1]]\nB =\n[[2, -8, 4, 1, -7, 0],\n [-6, 5, -4, 0, -3, 4],\n [-6, 3, 2, 6, 7, -10],\n [-5, 1, 6, 4, -10, 2],\n [10, 2, -6, 6, 0, 4],\n [-4, -1, -5, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, 1, 1],\n [5, -2, 5, -1],\n [-5, 6, 7, -1],\n [-4, -9, 9, 8]]\nB =\n[[-3, 9, -1, 9, 2, -8],\n [3, 7, 5, -2, -6, -2],\n [5, -10, 4, -8, -9, -2],\n [-3, -3, 6, -2, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 6, 4, -2, 8],\n [-9, -3, 0, 6, 1, 1],\n [9, 7, -4, -1, -9, -5],\n [-5, 8, -1, 4, -9, -8],\n [-9, 10, 8, 0, 10, -6]]\nB =\n[[-8, -10, -8, -10, -8, -1],\n [1, -7, -1, -3, 4, 4],\n [-1, 8, 0, -1, 5, -10],\n [-10, -3, -6, 2, -9, -3],\n [5, -10, 0, -5, -9, -6],\n [6, 5, 1, 10, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -5, 0, -7],\n [6, 3, -4, 10],\n [5, 2, 5, 2],\n [-1, -1, 6, 9],\n [-9, -2, -1, 5],\n [-7, 0, 1, -5]]\nB =\n[[4, 1, -7, 4],\n [-3, -6, -5, -9],\n [-4, 8, 4, -7],\n [8, -10, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-8, -6, 0, 7],\n [-1, 9, -10, 4],\n [6, 0, 0, -2],\n [10, -3, -10, -8]]\nB =\n[[-2, 5, 4, 4, -9, -9],\n [8, -2, 1, 8, 8, 10],\n [2, 7, 9, 0, -8, -5],\n [4, 8, -1, 4, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-6, -10, -8, -3, -3],\n [-9, 0, -10, -4, 5],\n [-9, 2, -7, 7, 3],\n [-8, 0, 4, 4, 2],\n [-8, 6, 0, 1, 6],\n [-4, 7, 4, -10, -3]]\nB =\n[[-8, -6, 6, 0, -5, -5],\n [5, 10, -10, 7, -3, 1],\n [10, -6, -1, 8, 6, -9],\n [2, 4, 9, -6, 6, -3],\n [7, 0, 4, 9, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -8, 3, 10, -2],\n [-4, 3, 1, 6, 0],\n [5, 10, 7, 7, -10],\n [8, 0, -3, -7, -3]]\nB =\n[[10, -9, 4, -10],\n [-10, 6, 5, -7],\n [-1, 9, 3, 1],\n [7, 8, 7, 3],\n [-1, -7, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -1, 10, -9, -7],\n [-6, -4, 7, 7, -6],\n [-1, -4, -8, 8, -2],\n [3, -3, -8, 9, 7],\n [-2, -5, -10, -10, -8]]\nB =\n[[-4, 0, 4, -3, -3],\n [4, 0, 4, 0, -6],\n [-1, 10, 4, 2, -1],\n [-9, 9, 2, 3, -4],\n [1, 8, -6, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, -1, 0, -5],\n [-4, -6, 2, 9, -2],\n [3, -7, -7, -5, 4],\n [-6, -10, -6, 10, -1],\n [-3, -7, -9, -10, 3]]\nB =\n[[4, 2, 0, 7],\n [-2, 4, -7, -6],\n [8, -5, 7, 4],\n [10, 8, 4, 6],\n [7, -7, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 7, -5, 4, 8],\n [-10, -9, 7, -7, -1],\n [4, 9, 2, 10, -1],\n [0, -10, -5, -5, 2]]\nB =\n[[1, 1, 3, 10, -7, 5],\n [-2, -4, -5, -1, -7, -3],\n [7, 7, 10, -4, 9, -3],\n [2, 10, -1, -1, -2, 3],\n [7, -6, 0, 9, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -3, -10, -3, 3],\n [-5, -9, -6, -9, 6],\n [-8, 1, 9, 7, -8],\n [6, 1, 1, 10, -6],\n [-8, 9, -1, -1, 10]]\nB =\n[[5, 7, 10, 7],\n [-1, 10, 0, -6],\n [-3, -9, -7, -8],\n [5, 2, 7, -2],\n [-1, -8, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-591", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 1, -7, 1, 7],\n [-9, -3, 1, -7, -1],\n [1, -3, -3, -4, 6],\n [5, 9, -8, 6, -3],\n [-5, 4, 5, -6, -9],\n [-2, -7, -3, 5, -9]]\nB =\n[[6, 9, -5, 0, 5],\n [6, -7, 9, -7, -4],\n [7, 7, -9, 3, 1],\n [0, 6, 0, 1, -1],\n [-9, 0, 7, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-501", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 2, 3, 4],\n [2, 2, -4, 9],\n [1, 8, 8, 10],\n [9, -10, 1, 5]]\nB =\n[[0, 9, 9, -9],\n [-2, 5, -10, -1],\n [8, -4, 7, -2],\n [-6, -6, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -1, 2, -9],\n [-3, 5, 8, 6],\n [5, 9, -2, -5],\n [-1, 8, 5, 2],\n [-8, -9, -10, 5]]\nB =\n[[-6, 5, 8, -9, 1, -8],\n [9, 6, -3, -10, 9, 2],\n [9, 6, -2, -3, 0, 5],\n [9, -9, 0, -1, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 8, 3, -2],\n [1, 1, 2, 1],\n [7, 10, -2, -2],\n [-5, -6, -5, 7]]\nB =\n[[-10, 1, 8, -6, 1],\n [7, -7, -8, -1, -3],\n [2, -7, 8, -2, 1],\n [-2, 8, 5, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "860", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -5, 3, -4, -1, -10],\n [4, -7, -9, -2, 10, 0],\n [8, -7, 0, -10, 0, 6],\n [-3, -6, 5, 7, 3, 1]]\nB =\n[[4, 9, 7, -6],\n [-5, 1, 6, -2],\n [-1, 1, 7, -6],\n [1, 7, -9, -1],\n [4, -9, -2, -8],\n [6, 8, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, 8, 3, 7, -4],\n [-9, -2, 8, 9, 0, -7],\n [7, -3, -9, 5, 10, 0],\n [8, 0, -4, -7, -1, 4]]\nB =\n[[3, -5, 8, 3],\n [10, 3, 5, -3],\n [9, 2, 4, -5],\n [10, 1, 9, 1],\n [2, -9, 10, -5],\n [-3, 6, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -2, 4, 8, -3],\n [0, -10, 8, -5, -5],\n [2, -6, 3, 3, 7],\n [-9, -3, 5, 6, 2],\n [-4, 1, 5, 6, -1],\n [7, -2, -9, -10, -10]]\nB =\n[[9, -9, -2, 6],\n [1, -2, -6, 8],\n [-8, -8, 6, 8],\n [5, -4, -4, 8],\n [-3, 1, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[6, 10, -5, -8],\n [-3, -1, -7, 1],\n [-9, 3, -4, -9],\n [0, -9, 1, 2],\n [0, -7, 10, 5],\n [5, 6, -10, 3]]\nB =\n[[4, 0, -8, 4],\n [8, -10, -4, 2],\n [-10, 8, 8, -5],\n [-9, -6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -8, -1, -8, -7],\n [-4, -3, 10, -10, -4, -9],\n [1, 10, -8, -10, 5, 3],\n [-7, -2, -9, -10, -5, 4],\n [7, -4, 5, 4, -9, 7],\n [-9, 6, -2, 5, -10, 9]]\nB =\n[[2, -10, 5, -9],\n [-1, -1, -2, -1],\n [1, -5, 2, 6],\n [9, 4, 9, 6],\n [-3, -8, 5, -1],\n [5, 8, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-6, -3, 9, 4, -3],\n [6, -3, -2, 4, -9],\n [1, -9, -4, 2, 10],\n [-9, 8, 4, 6, -5],\n [-9, 7, 9, -4, -10],\n [1, 4, 3, 4, 5]]\nB =\n[[6, -1, 0, -1, -6, 0],\n [2, -3, 6, 2, -4, 1],\n [9, -9, 3, -3, -3, -8],\n [1, 4, -2, -8, -6, -10],\n [-4, 9, -5, -7, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -1, -3, -5, -6],\n [2, -8, -4, -2, -2],\n [-3, -1, 3, 8, 5],\n [7, 0, -9, 3, -7],\n [-2, -3, 6, 1, -4],\n [1, 1, 10, -9, -1]]\nB =\n[[-2, 10, -7, -2, 3, 5],\n [5, 10, -10, -8, 9, -8],\n [-4, 6, 6, 0, -3, -9],\n [-4, 8, 3, 5, -6, 3],\n [-9, -10, -8, -8, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1737", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 6, -6, 7, -9],\n [4, -5, 7, 9, -10],\n [-5, 7, -7, 7, -2],\n [1, 9, -6, -1, 7],\n [-4, 4, -7, 5, 3],\n [-3, -4, 3, 6, 3]]\nB =\n[[7, 0, 3, 2, 3],\n [9, -7, 0, 1, 5],\n [9, -1, 10, -8, -8],\n [8, 4, -1, 9, -6],\n [5, -10, -8, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -4, -2, 8, 7, -1],\n [-8, -7, -6, -1, 4, 10],\n [-2, 2, -10, -10, 3, -1],\n [8, 8, 0, -7, 0, -1]]\nB =\n[[-2, 6, -5, -3],\n [-3, -4, 9, 5],\n [-7, -6, 3, 7],\n [5, -8, 7, 2],\n [0, 7, -9, -8],\n [5, 10, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -8, 2, -7, -2, -10],\n [5, 8, 0, 9, 3, 9],\n [-5, -9, -1, -9, 6, -10],\n [-1, -6, -4, -6, -1, -9],\n [9, -10, -2, -10, 10, 9],\n [-4, -10, -1, 3, 3, 10]]\nB =\n[[3, 2, -2, 0],\n [7, 2, 3, -10],\n [-5, -10, 7, -8],\n [2, -1, -5, -10],\n [-10, 9, 7, -4],\n [7, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, 4, 3],\n [9, -5, 9, 7],\n [-10, -1, -4, 9],\n [6, -6, 8, -1]]\nB =\n[[5, 2, -7, 4],\n [9, -3, 5, 5],\n [-2, -7, -7, -4],\n [-3, 2, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -10, 2, 9, 2],\n [-6, -3, -9, -5, -6],\n [-10, -3, -7, -3, -4],\n [-3, 0, 1, -1, -4],\n [1, -3, -1, 7, -2]]\nB =\n[[-6, 7, 5, 0, 10],\n [-1, 0, 2, 6, -8],\n [-3, -1, -7, -6, 5],\n [-4, -2, 1, -4, -3],\n [-5, -2, -2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 8, 0, 9],\n [8, -4, -3, -6],\n [-10, -1, -2, -4],\n [2, -6, 9, 2],\n [-7, -3, 5, 7]]\nB =\n[[-7, 8, -5, 1, -9],\n [5, -4, 7, 7, -1],\n [10, 10, -9, 8, 10],\n [2, 6, 5, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, -10, 3, 5, 9],\n [4, 0, 2, -5, -8, -2],\n [1, -8, -10, -8, -1, 7],\n [-2, 10, -4, -5, 2, -8]]\nB =\n[[-5, -8, -10, 5, -1, -9],\n [-7, -6, 1, -10, -4, 6],\n [-2, 5, -3, -4, -10, -6],\n [1, -7, 3, -7, 8, -8],\n [2, 9, -1, 0, -6, -7],\n [-2, 10, -8, -6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1624", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 3, 8, -5, -1, -4],\n [4, -4, -8, 1, -5, -2],\n [2, 10, 6, 10, -7, 5],\n [7, -7, -6, 6, 1, 10]]\nB =\n[[-9, 2, 5, 5],\n [-2, 0, -4, 5],\n [-9, 5, -10, 4],\n [-7, 4, 6, -3],\n [-3, 9, -6, 8],\n [-2, 1, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1084", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -5, 3, 10, -4, -7],\n [-2, 6, 9, -8, -2, -7],\n [9, -2, -9, -6, -2, 2],\n [8, 3, -5, -3, -9, -4],\n [-2, 4, 5, -7, -7, 3]]\nB =\n[[-3, -8, 5, 0],\n [9, 10, 2, 6],\n [-5, 5, 0, -5],\n [-10, 2, -6, -5],\n [-10, -5, 7, -10],\n [5, -1, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 9, -2, 10, 3],\n [6, -10, 7, 6, 4],\n [8, 3, -8, 0, 1],\n [-9, 8, -8, 9, -3],\n [5, -6, -1, 2, 2]]\nB =\n[[-1, 7, 7, 0, -9, -8],\n [-10, 9, -4, -5, 3, 1],\n [-5, -6, -9, -8, 8, 10],\n [-9, -10, -7, -4, -10, -8],\n [-7, 1, -2, -10, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1395", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -7, 4, -6, -10, 2],\n [-6, 3, 5, 7, -8, 3],\n [10, -9, 7, -2, 2, -2],\n [10, -2, -2, -3, 7, 0],\n [-5, 5, 7, 2, 2, 10]]\nB =\n[[3, 9, 0, -5],\n [-10, -4, 9, -1],\n [-10, -5, 1, 8],\n [8, 9, 1, -4],\n [1, 7, 10, 1],\n [7, 7, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 5, 3],\n [-2, -4, 3, 1],\n [7, 3, -2, 10],\n [9, 4, -6, -8],\n [6, 10, -5, -8]]\nB =\n[[6, -10, 2, -3, 1],\n [8, -2, -3, -10, -1],\n [10, 2, -4, 7, -5],\n [-3, 2, -7, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 1, 6, -1, -7],\n [-2, -2, 0, -9, 9],\n [1, -2, -10, 4, -5],\n [0, -5, -5, -8, -7],\n [-8, -9, 0, 10, -5],\n [4, -5, 1, -2, 3]]\nB =\n[[6, -8, 6, 9],\n [-10, 7, 6, 7],\n [-9, 7, 6, 5],\n [5, 9, 6, 1],\n [-6, -2, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -4, 9, 3, 8, 1],\n [-8, -6, -6, -2, 0, 9],\n [-3, -2, 0, 0, -8, 6],\n [2, 7, 1, -5, -8, 2],\n [-1, 10, 4, -8, -10, 0]]\nB =\n[[10, 4, 9, 6],\n [-9, 9, -9, 1],\n [-8, -1, -10, 6],\n [9, 10, 4, 7],\n [3, 1, -6, 9],\n [0, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -3, -8, -10, -6, -9],\n [-5, -5, -4, 4, -7, 10],\n [10, 0, -9, -8, -4, 8],\n [-6, 3, 1, -10, -1, -9],\n [-10, 3, -2, 7, 6, -6],\n [-3, 3, -7, 1, -3, -4]]\nB =\n[[4, 3, 9, 1],\n [1, 2, -1, 0],\n [5, 2, -4, -2],\n [-2, -10, 1, 6],\n [8, 10, -7, 4],\n [-4, -5, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -5, -9, -1, -7, 3],\n [-6, 1, -6, -7, 8, 5],\n [2, 4, 10, -10, 2, 9],\n [6, 3, 8, 6, -7, -1],\n [5, 2, 3, -10, -4, 9]]\nB =\n[[-7, -4, 7, -1],\n [8, 4, -4, -6],\n [6, 10, -2, -1],\n [-9, 8, -8, 8],\n [7, 2, -3, -4],\n [4, -9, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -8, -10, 5, 3],\n [6, -8, 5, -4, 3],\n [-10, 6, 10, -4, 8],\n [-10, -3, 4, -2, -3],\n [5, -7, -7, 7, -5],\n [-1, -9, 9, -7, -3]]\nB =\n[[2, -6, 1, 9],\n [8, 4, 7, -1],\n [-10, -8, -7, -1],\n [-3, -10, 2, 9],\n [3, 5, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1636", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 2, 2, 5, 2, -5],\n [-7, -2, 2, -8, -6, 7],\n [5, 1, -6, -7, -7, -9],\n [0, -8, 8, 2, 6, -5]]\nB =\n[[5, 4, 9, 9, 1],\n [5, -4, 7, -4, 7],\n [-3, -2, 0, -9, 0],\n [-9, 9, 7, 5, -8],\n [-2, -2, -7, 4, 0],\n [4, 3, -7, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1444", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -4, 6, -10, 5],\n [-10, -6, 2, 7, 10],\n [5, 8, -10, 2, 10],\n [8, 7, -6, 9, 4],\n [3, 6, 7, 1, 10]]\nB =\n[[-6, 1, 2, 6, -2, 4],\n [-9, -4, -5, 1, 0, 8],\n [1, 0, -4, -4, -3, -7],\n [6, 5, -4, 2, 8, -10],\n [2, 8, 0, 1, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2044", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 0, 6, 8, -6, -3],\n [-10, 1, 9, -2, 1, -7],\n [-2, 0, -7, -9, -2, 8],\n [-4, -7, 10, -6, 3, 6],\n [-5, 4, 1, -7, -9, 2]]\nB =\n[[1, 6, -2, -10, 10, -2],\n [3, 1, -4, -5, 0, -1],\n [-4, -4, -1, -8, 3, 1],\n [8, -2, 4, 8, 3, -5],\n [-10, 5, -1, 7, 2, -3],\n [5, 6, -3, 0, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1708", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 2, -9, 9, 5],\n [0, -3, -5, 4, -6],\n [6, 6, 4, 6, -6],\n [0, -2, -10, 5, 0],\n [-5, -8, -6, -3, -9]]\nB =\n[[5, 8, 2, 2, -3, 1],\n [-6, -9, 1, -8, -3, -5],\n [-3, -9, 1, -5, -2, -6],\n [9, -10, 9, -8, 7, 0],\n [-2, 6, -9, 10, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-5, -1, 7, -8, 10, -1],\n [-2, -5, 6, -8, -8, 3],\n [2, -7, -10, -4, 6, -4],\n [0, -10, 9, -1, -4, 5],\n [-3, -8, 4, 1, 3, 0]]\nB =\n[[5, -5, -3, -3, -6],\n [-8, 3, -9, 8, 1],\n [4, -8, -4, 6, 5],\n [-4, 3, -6, 6, -7],\n [8, -5, -2, -6, 3],\n [5, 5, 1, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, -8, 9, 4, -3, -2],\n [-2, -1, 0, 3, 6, 0],\n [-4, -4, -4, -6, -7, -1],\n [-5, -6, 9, 7, -3, 5],\n [9, -3, -1, 4, -4, -2]]\nB =\n[[-6, -6, -10, -1, -10],\n [-9, 4, -7, -4, -10],\n [5, 7, -8, 4, -1],\n [-6, 3, -6, 0, 9],\n [0, -8, -8, 1, -3],\n [10, 4, -6, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 4, 6, -5, 0],\n [6, 4, 7, -1, 3, 10],\n [4, -10, -10, -8, -7, -8],\n [-7, 4, -4, 9, -3, 2],\n [7, -2, -6, -10, -1, -5]]\nB =\n[[2, 5, -3, 7, 10, 4],\n [-7, -7, 3, 4, 10, -1],\n [6, 8, -5, -1, -3, 9],\n [0, 3, 3, -10, -4, 4],\n [-8, -5, 9, -3, -4, -3],\n [5, -3, 9, -8, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 7, 9, -6, -4],\n [-3, -9, 4, -7, -10],\n [10, 7, 5, 10, -5],\n [10, 5, -1, 4, -6],\n [0, 7, 8, 6, 6]]\nB =\n[[-4, -9, 2, -6],\n [-7, -6, 5, 0],\n [2, 5, 7, -1],\n [0, -5, 4, 7],\n [-3, -7, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -8, -7, 10, -9],\n [-1, -5, -9, -2, 3],\n [1, 2, 6, -7, -10],\n [-7, 10, 10, 0, 1],\n [-2, 5, -1, -2, 5]]\nB =\n[[9, 6, 5, 7, -1],\n [9, -2, -2, -1, -2],\n [6, -7, -4, 6, -5],\n [9, -4, 4, -8, -7],\n [-2, -8, -7, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, -7, 3, 3, 3],\n [-4, -3, 4, -5, 5, 9],\n [9, 0, 3, -2, 4, -6],\n [-5, -7, -5, -10, 5, 3]]\nB =\n[[-1, 8, -7, 4, 0, 4],\n [-4, 7, -9, 9, 9, -9],\n [-1, -4, 3, 6, -4, -7],\n [-3, 0, -6, -2, -3, -10],\n [-10, 5, -3, 8, 3, -10],\n [-4, -8, -1, -6, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 5, -2, 7, -3, 8],\n [-3, 3, 8, -4, -3, 7],\n [-8, 3, 9, -6, 5, -10],\n [10, -6, -2, -7, 6, -7],\n [-6, 6, -3, 4, 1, 8]]\nB =\n[[7, -3, -1, -7, 3, -5],\n [5, 2, -2, -5, 10, 4],\n [4, 9, 7, -3, -7, 2],\n [9, 2, -10, -8, -5, -4],\n [4, -8, -1, -10, -5, -5],\n [4, -7, -10, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 2, 6, 2, 8, 8],\n [-2, -7, 6, 6, 2, -9],\n [8, -5, -2, -4, -1, -4],\n [10, 10, -9, -4, 0, -1],\n [-2, 0, -1, 1, -8, 6],\n [-10, 4, -3, -10, -8, 3]]\nB =\n[[-3, -2, 2, 7, -4],\n [-9, -4, -6, 6, -8],\n [6, 6, -2, -4, -1],\n [6, 5, -3, -6, 1],\n [-3, 4, -9, 0, 6],\n [4, -9, -3, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, -3, -6],\n [5, 6, 1, -6],\n [-1, 9, 2, 8],\n [9, -3, 6, -10],\n [-9, 6, 10, 6],\n [8, -8, 0, -8]]\nB =\n[[-4, 10, -7, -9, 4],\n [3, 0, -2, 7, -2],\n [-6, 2, -7, 6, -7],\n [7, 2, 3, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-5, 0, -10, -8, 6],\n [-9, 8, -3, -2, -6],\n [9, 1, 3, -10, -3],\n [9, 7, 8, 1, -2],\n [-4, 7, 9, 1, -8]]\nB =\n[[2, -4, -7, -3],\n [0, 4, -8, -8],\n [0, 4, 9, 4],\n [-9, -6, 5, -2],\n [8, -1, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -4, 1, 9],\n [-5, -4, -7, -6],\n [-8, 7, 10, 7],\n [-10, 10, -1, -9],\n [-8, 10, -5, 6],\n [-6, 9, 1, 6]]\nB =\n[[-8, 10, -8, 4],\n [4, 10, 8, 3],\n [9, 3, -1, -9],\n [-10, -5, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1710", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 1, 9, 8, -9, -5],\n [-3, 8, 5, 0, -6, 9],\n [-2, 5, 7, -1, -2, 7],\n [-10, -1, -8, -9, -3, -2],\n [-4, 5, 2, 4, -6, 1],\n [2, 9, -1, -5, -1, 8]]\nB =\n[[-10, -5, -10, -3, -4],\n [-7, -8, 6, -4, 10],\n [6, -4, 0, 7, 5],\n [-8, -7, 1, 9, -7],\n [1, 5, -3, 8, -5],\n [-4, -9, -1, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 10, 4, -4],\n [-10, -10, -4, 9],\n [0, 10, -4, 4],\n [-10, -3, 8, -4],\n [7, -8, 10, -9]]\nB =\n[[-5, -6, 1, 10],\n [1, 6, 4, 8],\n [3, -1, 5, 6],\n [-9, -5, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1461", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[6, 4, 10, 1, 5],\n [-6, 5, 5, -3, -5],\n [5, 10, -10, -9, 2],\n [3, 9, 7, -7, -8],\n [-3, 10, 6, -10, 5],\n [7, 1, -9, 3, -1]]\nB =\n[[-2, 1, 4, 5],\n [5, -1, 4, 10],\n [-10, -6, -7, -6],\n [-7, 0, 8, -10],\n [-6, 10, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 1, -10, -9, -2],\n [5, -7, -3, -3, -2],\n [-4, 9, 10, -9, -10],\n [-2, -1, 0, -10, 8],\n [4, 6, -7, 7, 1]]\nB =\n[[-2, -9, -1, 1, -1],\n [4, -7, -8, 0, 1],\n [-4, 9, 4, 1, 4],\n [10, -6, 8, 1, 4],\n [6, 10, -6, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 2, 1, 0],\n [10, -1, -1, -9],\n [-5, -9, 5, 8],\n [2, 7, -5, 9]]\nB =\n[[5, 10, 4, -2, 6, -8],\n [9, -7, 2, 6, -3, -2],\n [-2, -3, -1, -8, -9, 3],\n [2, -6, -5, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 3, 6, -4, 1, -8],\n [-9, -10, -4, 8, -8, 8],\n [6, -6, -4, -1, -6, -7],\n [10, -7, 6, -6, -2, -7]]\nB =\n[[-9, -1, 9, -10, 8],\n [3, 6, 10, -2, 4],\n [-10, -6, 9, 0, 0],\n [-2, 3, -10, -4, -7],\n [1, -2, 7, -5, -2],\n [-6, 2, 10, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-503", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -5, -1, 7, -5],\n [-3, 9, 9, -1, 8],\n [7, 6, -4, -8, -6],\n [2, -1, -4, 9, -7],\n [5, -2, -7, -3, 7],\n [-8, 2, -8, -7, -4]]\nB =\n[[2, 0, 2, 8],\n [-2, 9, 2, -7],\n [4, -9, 7, -3],\n [3, 7, -2, 10],\n [-4, 5, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1392", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-4, 3, 10, 1, -8],\n [8, 8, -10, 9, 6],\n [-8, -7, -3, 0, 7],\n [-3, 7, 0, -5, -9],\n [6, 5, 6, -3, -7],\n [9, -3, 1, -6, 7]]\nB =\n[[9, -3, -5, 0, 6, -10],\n [-4, 8, -1, 10, -2, 5],\n [-1, -8, -7, 1, -10, 3],\n [-6, -6, -5, -3, 4, 2],\n [7, -3, 9, 2, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[5, 10, 9, 3, -8, -1],\n [-4, -4, 0, 7, 0, 8],\n [-3, 10, -2, -9, -4, 6],\n [8, -3, -6, -6, 1, 5],\n [5, 10, -8, 3, 0, -9],\n [10, -1, -3, -4, 5, -2]]\nB =\n[[7, -4, -3, 10],\n [4, 7, -8, 6],\n [-4, -8, 9, 3],\n [-7, -6, -1, 8],\n [0, 8, 1, 2],\n [-3, -5, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, -7, -6, -4, 1],\n [6, 6, 0, -5, -6, -4],\n [-1, -2, -2, 4, 1, 5],\n [-5, 3, -2, 0, 4, -1]]\nB =\n[[6, -5, 2, -8, 0, 0],\n [4, 5, -1, -8, 6, 7],\n [-3, -2, -4, -3, -5, 5],\n [5, -4, -8, 2, -3, 1],\n [5, 0, -4, 9, -1, -10],\n [8, 9, 7, -4, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -8, -8, 9],\n [10, 0, -7, 4],\n [10, -10, -4, -4],\n [9, 6, -7, 4]]\nB =\n[[-4, -4, 0, -1, -1, 8],\n [0, -10, 3, 2, -2, 3],\n [8, -2, 8, -8, 1, -9],\n [5, 10, 3, -5, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -9, 3, -1, 7],\n [10, -6, 6, -4, 9],\n [10, -4, -10, -6, -5],\n [-2, 7, -1, -9, 0],\n [5, 0, -10, 0, 5]]\nB =\n[[-7, -9, -1, 8, -5, 9],\n [-4, 6, 0, 5, 7, 6],\n [-10, 4, -6, -4, 3, -5],\n [9, 1, -9, -4, -4, -5],\n [5, -4, -4, 5, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2425", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, 3, -10, 10],\n [5, 4, 5, -9, -8],\n [10, -2, 5, -9, -1],\n [7, 2, -7, -2, -3],\n [-6, -5, 6, 6, 0]]\nB =\n[[7, 8, -10, 1, -2, -2],\n [0, -2, 5, 1, 4, -4],\n [-3, 4, 5, 3, -3, 1],\n [-7, -9, -6, 1, 5, 9],\n [1, 6, 7, 8, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 2, -5, 4],\n [8, 1, -7, -5],\n [5, -9, -8, 1],\n [8, -8, -1, 9],\n [3, -2, 6, 3],\n [-9, 1, 0, -7]]\nB =\n[[-6, -6, 9, 3, 3],\n [-10, 0, 7, 10, 4],\n [7, -3, -7, 4, -4],\n [1, -6, 10, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 4, 7, -7, -6, -8],\n [1, -3, -6, 3, -2, 8],\n [-5, 3, -6, 1, 9, -4],\n [-10, 7, 9, -1, 10, -10],\n [-7, -3, 0, -2, 2, -1],\n [-2, 4, -3, 6, -5, -2]]\nB =\n[[3, -7, 7, -8],\n [-2, 7, -4, -8],\n [2, -7, -7, 10],\n [6, -10, -9, -10],\n [-10, 0, 4, -9],\n [3, -9, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -9, -6, 4, -8, -5],\n [4, 6, -7, -7, -4, -6],\n [1, 6, 1, -5, 8, 6],\n [7, -6, 3, 6, 9, 9]]\nB =\n[[9, 2, -2, -5, -9],\n [9, -3, -1, 4, 0],\n [-2, -7, -10, 3, -10],\n [2, 0, -9, 4, -6],\n [-1, -7, 7, -3, 9],\n [3, 9, 10, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-2, -10, -1, -1],\n [0, -4, 9, 4],\n [-9, 1, 4, 1],\n [5, 1, 0, -10]]\nB =\n[[-8, -1, -8, 4, -5],\n [-7, -3, 8, 7, -7],\n [-1, 5, 7, 2, -10],\n [9, 5, 8, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, -6, -1, -6],\n [-8, -6, -5, -10, -2],\n [1, 4, -2, -6, 9],\n [-4, 4, -9, -2, 7],\n [9, -4, -2, -10, -2],\n [6, -2, -1, 0, 3]]\nB =\n[[-5, -10, 9, -5, 10, -10],\n [-9, -5, -1, -2, -6, -7],\n [-2, 8, -4, -4, -8, 2],\n [0, 5, -9, -1, 4, 1],\n [5, 3, -4, -8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "442", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-3, 9, 1, 2, -4],\n [-4, -10, -6, 5, -3],\n [4, 1, 10, 8, 0],\n [10, 5, 10, -5, 10],\n [-2, 9, -1, 6, -7]]\nB =\n[[-10, 7, 10, -6, 6, -4],\n [-2, -9, -6, -5, 8, -10],\n [-8, -10, 0, -6, 0, 4],\n [-7, -10, 5, -2, 6, 2],\n [-7, -2, 2, 10, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -7, 3, 3, 4],\n [5, 2, 3, -4, -6],\n [-1, -3, 4, 1, -2],\n [9, 9, 7, 10, 9],\n [3, -6, -9, -6, -10],\n [7, 4, 8, -2, -7]]\nB =\n[[-2, -7, -2, -8, 0, 2],\n [9, 8, -4, -1, -4, 4],\n [-1, 4, 10, -6, 1, 7],\n [-7, 6, -10, -5, -4, 5],\n [-5, -5, 0, -9, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 6, -7, -10],\n [5, 2, 4, 0],\n [5, 0, -9, -10],\n [-6, 1, -5, 8],\n [-10, -8, -5, 5]]\nB =\n[[10, -1, -1, 0],\n [4, -6, 0, 3],\n [7, -1, 3, -6],\n [-2, -8, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "935", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -10, -2, 6],\n [4, -7, -5, -7],\n [-5, 9, -5, 0],\n [-10, -1, -7, -9],\n [8, 4, 10, 4]]\nB =\n[[3, 1, 1, 10, -2, 4],\n [9, 9, 1, -1, 10, -9],\n [-6, -1, -7, 4, 1, 1],\n [-5, 1, 6, 10, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1911", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 6, 3, -6, -9],\n [-8, -6, 9, -5, -10],\n [-6, 6, 7, -2, 10],\n [2, -3, -6, -5, 9],\n [-4, 9, -2, -3, 5],\n [-9, 10, -1, 1, 4]]\nB =\n[[-5, 8, 1, -6, 0],\n [-7, -8, 8, -9, -6],\n [6, 5, -1, 2, 6],\n [-8, 5, 2, 3, 8],\n [6, 4, 9, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, -4, -3, 0],\n [7, -3, -4, -2, -4],\n [9, -8, -8, -3, 5],\n [-9, 1, -2, 1, 0]]\nB =\n[[-6, 10, 6, -3],\n [6, 5, -4, 2],\n [1, -6, -4, -8],\n [-4, 2, -10, -4],\n [8, -4, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -2, -6, 9, 4, -3],\n [7, 5, 10, -6, 4, -2],\n [-4, -8, -3, 3, -3, 6],\n [-6, 9, -6, 5, -10, -6],\n [9, 9, -6, 3, 2, -4],\n [9, 10, 1, 8, -8, 0]]\nB =\n[[-2, -4, 3, -3],\n [-7, 8, 7, 6],\n [-1, 8, 1, 3],\n [8, -3, 1, -5],\n [-7, -5, 8, 7],\n [-8, 3, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[0, -8, 5, 4, 9],\n [8, 2, -2, -3, -4],\n [-1, 0, -3, 8, 7],\n [-1, 10, 0, -10, 10]]\nB =\n[[-7, -6, -8, 1, 0, 8],\n [3, -10, 1, 2, 5, 7],\n [7, 10, 7, -7, -5, 3],\n [5, -8, 5, -10, 3, -7],\n [9, 2, -6, 6, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 6, 3, 9],\n [0, 1, 1, -6],\n [-4, 1, 8, 4],\n [1, 9, -7, 6],\n [0, 10, -6, -3],\n [-2, 7, -10, 4]]\nB =\n[[-5, -1, -6, -10],\n [8, 3, 4, 2],\n [-5, 10, -5, 1],\n [10, -3, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "793", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -2, -6, -7],\n [2, 5, -5, 7, -4],\n [3, 4, -4, 2, 8],\n [9, 7, 0, 6, 0],\n [7, -6, -6, -6, 9]]\nB =\n[[-10, -3, 10, 10],\n [-2, -1, 7, 10],\n [9, -6, -8, -2],\n [1, 1, 5, -4],\n [-5, 7, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -4, -3, 1],\n [-5, -1, 2, -3],\n [1, 8, 0, -7],\n [7, 5, -2, -4]]\nB =\n[[3, -1, -8, 6, 3, 4],\n [7, 3, 8, -5, -2, -3],\n [-3, 3, -3, 5, 1, 1],\n [-7, -2, -10, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "791", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, -5, -2],\n [-3, 8, -8, 4],\n [6, 8, 4, 4],\n [-2, -3, 0, 9]]\nB =\n[[10, 2, 7, 10],\n [-10, -9, -9, -3],\n [8, -4, -3, 8],\n [-10, -8, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1157", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 3, -10, 2],\n [9, -2, 3, 3],\n [10, -3, 3, -9],\n [-5, 4, -4, -4]]\nB =\n[[2, -3, -10, -6],\n [5, -3, 2, -10],\n [-1, 3, -1, 5],\n [-6, 3, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[4, 8, -2, 9, 8],\n [-3, -5, -1, 4, -8],\n [4, -3, -7, 1, 10],\n [10, 3, 3, -2, 0],\n [-1, -8, 6, 3, -3]]\nB =\n[[-5, 0, 8, -8, -7],\n [-10, 2, 8, 3, 6],\n [2, -5, 4, -10, 5],\n [-4, -7, 5, 9, 10],\n [-5, -5, 8, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, -7, -6, -2, -3],\n [0, -2, -5, 8, -3, -6],\n [-10, 5, -3, 9, 2, 2],\n [8, 4, 0, -6, 7, 2],\n [1, 0, -3, 3, -5, 5]]\nB =\n[[2, 4, 9, 3, 0, -9],\n [-8, -5, 4, 1, -1, -4],\n [-2, -5, -10, 8, 9, -4],\n [2, -7, -2, 5, 0, 9],\n [1, -4, -4, 9, 0, -2],\n [8, 6, 0, -8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -4, 7, -8],\n [1, -1, 5, -9],\n [4, 5, 4, 4],\n [10, 5, -1, 4],\n [3, 2, 2, -8],\n [-3, 6, 4, 4]]\nB =\n[[4, 10, 2, -10],\n [6, 0, 3, 1],\n [8, 3, 2, -3],\n [2, -3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, 7, 6],\n [1, 3, -3, -2],\n [4, -8, -1, -9],\n [10, -4, 7, -2],\n [-2, -7, -8, 3]]\nB =\n[[10, 9, 5, -7, 1, -5],\n [-4, 6, -4, -7, -6, -9],\n [-6, -4, -4, -2, 0, 3],\n [-1, 6, -10, -4, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -7, 1, 4, -7],\n [-8, 4, -1, -10, 4],\n [6, -3, -3, -9, -10],\n [-5, 9, 7, -7, -8],\n [7, 7, 10, 8, -5]]\nB =\n[[-3, -9, 10, 6, -1, 1],\n [7, -9, -9, -1, -10, -9],\n [8, -4, -2, -9, -9, 8],\n [4, -8, 3, -5, 7, -1],\n [-8, 10, 6, 8, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-830", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-1, -7, -5, 6, -7, -7],\n [1, -4, 4, -1, 8, 9],\n [-1, -10, 8, -4, 10, -4],\n [-1, 1, -1, 6, 2, 6],\n [-7, 10, 3, -2, 3, 1],\n [6, -3, 10, -5, -3, 4]]\nB =\n[[-9, 7, 6, -3, 10, 0],\n [-2, -1, 7, -9, 9, -3],\n [-2, -2, 9, 0, -3, 7],\n [-5, 3, 0, 9, -7, 3],\n [-6, -3, 7, -4, -3, 5],\n [1, 5, -5, 10, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[2, -9, -10, 4, -5, 6],\n [-4, 1, -3, 9, -1, 1],\n [3, -2, -1, 10, 0, 5],\n [7, 5, -6, -6, 6, -2],\n [10, 8, -8, -10, -10, -6]]\nB =\n[[-1, 7, 2, 8, -5, -5],\n [-6, 2, 4, 8, 5, 1],\n [8, -5, -2, -5, 2, 1],\n [7, 4, 4, -5, -8, 7],\n [-1, 0, 9, -4, -4, 5],\n [-4, 8, 1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -3, -8, -2, 0, 3],\n [-5, -8, 10, 6, 2, 4],\n [-7, 7, 6, -9, 9, -2],\n [4, 7, 7, 3, -7, -8],\n [-1, 7, -1, -6, -6, 4],\n [0, -9, 3, 0, 6, 10]]\nB =\n[[-10, 7, 8, -9, -6, -7],\n [7, -10, -6, -4, -10, -3],\n [1, -8, 10, -6, 7, -7],\n [0, -4, -2, -2, -8, -2],\n [4, -7, -5, -4, 6, -5],\n [8, 5, 3, 2, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2451", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 7, -2, 10, -1, -10],\n [-7, -2, -2, 7, 10, -7],\n [8, 9, 6, 0, 3, 1],\n [-6, -7, 8, 2, -8, 7],\n [3, -9, 2, 8, 10, -3],\n [7, -6, 5, -6, 6, 10]]\nB =\n[[3, -6, -10, 9, 1],\n [7, -9, 9, 2, 6],\n [2, -9, -9, -3, 1],\n [7, 3, -10, 10, 2],\n [-8, 4, -7, 8, 1],\n [7, -7, 7, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-269", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 1, 7, 2],\n [-3, 2, 9, -4],\n [-2, -6, 3, -3],\n [-3, 10, 4, -9],\n [9, 4, 10, 8]]\nB =\n[[-5, -10, -1, 3, 7],\n [-2, -1, -4, -9, -3],\n [-8, 10, 8, -1, -9],\n [9, 1, 5, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[8, -8, -4, 5, 10],\n [-2, 10, 2, 2, -3],\n [5, -10, 0, -1, 8],\n [7, -9, 0, 8, 7]]\nB =\n[[3, -4, -3, 2, 9, 4],\n [-8, -5, 2, -5, -9, 0],\n [-4, -3, 0, 5, -2, -4],\n [-3, -9, 2, 10, 5, -2],\n [-5, -8, 4, -2, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, 7, 8, 4],\n [2, 6, -7, -6, 1],\n [-2, -4, 4, 7, 2],\n [6, -4, -1, 8, 10],\n [-3, 10, 1, 0, -3]]\nB =\n[[7, -2, 9, 5],\n [4, 8, -10, -10],\n [5, -6, 5, -6],\n [3, -6, -10, 0],\n [8, -6, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 8, 1, -2],\n [8, -1, 9, -7],\n [-8, 4, -2, 9],\n [-6, -7, 7, -8],\n [-9, 3, -8, 1],\n [-2, 1, 10, -6]]\nB =\n[[-8, -7, 7, 0],\n [1, -3, -3, -1],\n [-2, 9, 3, 7],\n [3, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 0, 2, -8, 8, 2],\n [3, -4, -1, -1, -6, 6],\n [10, -4, -1, -1, -4, -10],\n [-8, 2, -5, -8, 4, 1],\n [0, 7, 0, 7, -6, 8]]\nB =\n[[-10, -1, 1, 9, 0, -8],\n [8, 10, -3, 3, 7, 2],\n [10, -1, -6, 8, 10, -1],\n [2, 6, -4, 9, -2, 7],\n [5, -1, 6, 0, -8, 4],\n [4, -1, 10, -2, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 0, -10, 6, -4],\n [-1, 8, 7, -6, 1],\n [0, -2, -7, 10, -8],\n [0, 4, 5, 9, -3],\n [3, 7, 10, 9, -7],\n [9, 9, -8, -6, 3]]\nB =\n[[6, -3, -10, 6, 6, -1],\n [0, -9, 10, -3, 0, 10],\n [3, 7, 2, 2, 6, 9],\n [2, -9, -4, -4, -1, 3],\n [-3, 8, 10, 10, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-3, -1, -5, -7],\n [-7, -4, 7, 4],\n [7, -3, 9, 5],\n [9, -4, -6, -8],\n [7, 7, -1, 5],\n [10, 9, 7, 7]]\nB =\n[[3, 9, 2, 9],\n [9, 1, 1, 9],\n [-6, 2, 8, 10],\n [-6, 8, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 8, 10, -4, 9],\n [-6, 4, 3, -2, -1],\n [8, 10, 1, -3, 3],\n [2, -3, -7, 9, 5]]\nB =\n[[-1, 0, 8, 2, -7, -6],\n [-9, -8, 2, 2, 4, -3],\n [0, 6, -8, -1, 1, -10],\n [10, -5, -9, 6, 10, -7],\n [-3, 1, -8, 7, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, 10, -8],\n [8, -7, 8, 9],\n [-2, 1, 9, 3],\n [-9, 2, 5, 4]]\nB =\n[[7, 2, 2, -5],\n [-3, 8, 7, -2],\n [7, 1, 0, 9],\n [6, 7, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, -2, 2, 10, -5],\n [7, 1, 4, -7, 0, 8],\n [-2, -3, 2, 6, 7, -6],\n [-5, -1, 0, 6, -3, -9],\n [7, 8, -2, -3, -2, -8],\n [9, 9, 8, -3, 10, -10]]\nB =\n[[-4, -7, 8, 4, -2],\n [-9, 4, -6, 6, -7],\n [-5, 10, 9, 8, 6],\n [-3, -8, 0, 5, 5],\n [8, 10, 1, 5, -1],\n [0, 3, 3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 9, -9, 4],\n [-9, 4, 0, -2],\n [-6, 0, -10, -10],\n [-1, -4, 10, 0],\n [-10, 0, 9, 7]]\nB =\n[[10, 8, -6, -6, -10],\n [-7, -1, -4, 0, 5],\n [-5, -6, 8, 0, -10],\n [-8, 2, -6, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 10, -9, 4, 0, 0],\n [-7, -10, -8, 1, 3, -3],\n [-6, -8, 8, -10, -4, 4],\n [-7, 2, -10, 6, -8, -10],\n [-6, -3, 5, -2, 10, -1]]\nB =\n[[-7, 2, 4, 3],\n [2, 0, -10, 1],\n [-2, -6, -1, -5],\n [7, 1, 5, -2],\n [3, -9, 6, 2],\n [-1, 8, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 1, -7, 2],\n [10, -4, -4, -2],\n [7, 1, -3, 4],\n [-7, -7, -8, -3],\n [3, -3, 7, 9],\n [2, -6, 2, -5]]\nB =\n[[5, -7, -6, 10, 3],\n [8, -8, 3, -10, 3],\n [8, -4, 8, -10, 9],\n [-8, -9, 9, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -9, 5, -6, 1],\n [-1, 3, -4, -6, 4],\n [-7, -6, -3, -3, 7],\n [5, 0, 0, -4, 0]]\nB =\n[[-8, 0, -10, 8, 4],\n [-9, -8, 7, 7, 5],\n [1, -5, 2, -8, 5],\n [1, -5, 1, -5, -8],\n [-7, -1, 1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 4, 5, -10, -9, 7],\n [-4, -7, -5, -6, 2, 5],\n [-3, -5, 8, 4, -2, -3],\n [-9, -7, 1, 10, -10, -7]]\nB =\n[[9, -7, 10, 0, -6, -5],\n [-2, -6, 0, -5, 5, -10],\n [3, -4, -7, 3, 4, -2],\n [-1, 2, -1, 6, 5, -9],\n [-3, 6, 1, -3, -10, 1],\n [-10, 1, -7, 10, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[7, 2, -3, -1],\n [1, 2, 8, -2],\n [-3, 4, -3, -6],\n [6, -8, 8, 8],\n [-3, 5, -2, -1],\n [9, 4, -2, 2]]\nB =\n[[6, 1, -8, 1],\n [5, -7, 0, 6],\n [8, 3, -7, -3],\n [3, 4, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 1, -9, -4, 2],\n [-4, -1, 9, 10, 0],\n [-4, 6, -1, -1, 10],\n [7, -9, 4, 1, 10],\n [-10, -10, -5, -9, 5]]\nB =\n[[7, -4, 10, 0, -8],\n [6, 1, -8, 9, 7],\n [-7, 5, -2, -7, 2],\n [-7, 2, 3, -2, -5],\n [7, 4, -2, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 8, 5],\n [-10, 10, 10, 9],\n [0, 9, 5, -1],\n [7, 5, 2, 2],\n [-9, 0, -2, -10],\n [-7, 3, 2, 5]]\nB =\n[[9, -10, 1, -3, -2, -10],\n [8, 9, 8, -5, 1, -1],\n [-1, -10, 0, -7, 7, -8],\n [-7, -5, -6, -10, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-4, 5, 5, 10, 4, 2],\n [-2, -9, -10, -9, 6, -10],\n [4, 5, -5, -8, 5, -5],\n [-3, -2, -8, 3, -6, -6]]\nB =\n[[-6, 5, 4, -4],\n [5, -6, 9, -10],\n [8, -9, 6, 9],\n [5, 10, -8, 3],\n [3, 10, -4, 0],\n [9, -8, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, -7, 10],\n [6, -10, -9, -3],\n [-3, -6, -6, 7],\n [8, 7, 8, 10],\n [7, 1, -8, -7],\n [6, -5, -5, 4]]\nB =\n[[1, 3, -8, -1],\n [7, 8, 1, 4],\n [-10, 10, -7, 4],\n [-4, 5, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[0, 9, -10, 2, -7],\n [1, 2, 1, 1, -9],\n [10, 4, 0, -6, -8],\n [3, -4, 7, -5, 10],\n [2, 2, -6, 8, 0]]\nB =\n[[-5, -4, 0, -8],\n [-10, 9, -4, 2],\n [-7, 0, -6, -6],\n [-4, -3, -6, -8],\n [-10, 10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, 7, 7, 10, -10],\n [-1, 6, -2, -4, -10, -8],\n [2, -6, 2, -5, 2, -6],\n [9, -8, -2, 5, 9, 6],\n [3, 8, -7, 1, 0, -9]]\nB =\n[[8, 2, 10, -7, 4, 10],\n [3, -10, 3, -10, 1, -6],\n [10, -5, 2, 2, -6, -8],\n [-3, 6, -1, 2, -4, -1],\n [6, 7, 10, -2, 5, -2],\n [-7, -4, -4, -3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 5, 2, -8, 0],\n [-1, -3, -6, -6, 10],\n [-6, -9, -7, 7, 2],\n [10, 3, 8, 8, 5],\n [9, -2, 7, 0, 8],\n [1, -5, 6, -3, 0]]\nB =\n[[-10, 7, 5, -9, -2, -9],\n [-4, -5, 3, -1, -8, 4],\n [3, 2, 1, 10, -10, 7],\n [7, 5, 8, 1, -10, -6],\n [0, -6, 4, -10, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-722", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, 8, -8, 10],\n [8, -8, -10, 4, 9],\n [-5, -5, 9, -5, 6],\n [1, -3, 0, -9, -2]]\nB =\n[[0, -1, 5, -3, -4],\n [-9, 4, 0, 2, -7],\n [8, 5, -5, 1, -5],\n [5, 4, 0, 7, 8],\n [6, -9, 7, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 6, 8, -8, 4],\n [-5, -6, 2, 8, -10],\n [-9, -8, -2, -1, -9],\n [8, 9, -4, 7, -9],\n [0, 7, -3, -3, -1]]\nB =\n[[-6, 1, 10, -4, 2],\n [9, -2, 10, -1, 4],\n [2, -3, -8, 0, 7],\n [1, 0, -7, 0, 2],\n [-3, -7, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -4, 7, 4, 10, 0],\n [-10, 4, -1, 10, 9, 10],\n [0, -9, -1, -9, -10, 8],\n [-4, 1, -7, -2, -4, -10],\n [4, 1, -1, 4, 7, 7],\n [1, 0, 8, -2, -6, 9]]\nB =\n[[-5, -4, -5, 10],\n [-3, 8, -1, 7],\n [-6, -8, 8, 4],\n [-6, -4, -3, 1],\n [-2, 7, 9, -6],\n [-1, -10, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-507", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -3, 0, 1, 8],\n [6, 4, 6, -4, -9],\n [-8, 3, -1, 3, 6],\n [-9, -4, 3, -4, 6],\n [4, 8, 3, 2, 5]]\nB =\n[[-5, 2, -9, -7, -7, -5],\n [2, -2, 5, 6, 4, 9],\n [-6, -10, 4, 8, 9, -7],\n [3, -10, 2, -9, -2, 4],\n [4, -9, -5, -8, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-3, 3, -5, 10],\n [-2, 9, -1, 0],\n [2, -2, 1, -10],\n [-5, -2, 9, -9]]\nB =\n[[-2, -5, 9, -7, 4, -3],\n [1, -4, -4, -3, 9, 10],\n [-2, 2, -3, -1, -3, 5],\n [-7, -3, 7, 6, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -10, 4, -7, 9],\n [-9, 1, 10, -1, -4],\n [-4, -4, 1, 7, -5],\n [6, -2, -9, 7, -9],\n [-5, -4, 9, 9, -4],\n [-8, 3, -9, 6, 10]]\nB =\n[[-2, 8, 3, -3, -6],\n [-6, 9, 4, 5, 6],\n [7, -3, 6, -3, 1],\n [8, -3, 4, -8, 8],\n [-5, 8, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 6, -1, 10, 1],\n [2, -9, 3, 9, 9],\n [10, -10, 9, 7, 2],\n [10, -7, 2, -3, -1]]\nB =\n[[6, 4, 1, 8],\n [0, -5, 6, -1],\n [10, 0, 1, 4],\n [8, 8, -4, 5],\n [-5, 4, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 8, 1, -8],\n [-7, 5, -1, -3, 7],\n [3, 5, 0, -4, -5],\n [1, 6, -6, 5, -6],\n [6, 0, 5, -5, -5]]\nB =\n[[3, -4, 4, -5, -8, -9],\n [9, 10, -10, 3, 9, 8],\n [0, -3, 4, 8, -4, -5],\n [7, 10, 5, -8, 6, -7],\n [-3, -9, 7, -6, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1835", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -5, 9, -6, -9],\n [3, -7, -4, -7, -10],\n [1, -6, 9, -10, 3],\n [2, 3, -3, 6, -2],\n [-7, -2, 0, -8, -9]]\nB =\n[[10, 3, 5, 10, 9, 5],\n [4, -7, -8, 6, -7, -5],\n [1, -6, -3, -6, -9, 8],\n [-4, -3, -2, -3, -6, -7],\n [-4, -3, 3, 6, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1662", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -3, 2, 6],\n [3, -9, 4, -1],\n [0, -7, -1, 2],\n [5, 2, -4, 10]]\nB =\n[[-3, 10, 9, 5],\n [3, 8, -7, 8],\n [8, 4, 10, 8],\n [3, 5, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "868", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -7, 7, -2, 6],\n [8, -7, -8, 9, 4],\n [-1, 0, -2, 4, -8],\n [9, -3, 0, -3, 1],\n [-2, 5, 7, 8, 2]]\nB =\n[[-9, 0, -5, 0, 9],\n [-3, -10, 7, 8, 0],\n [-2, -3, 4, 2, -1],\n [7, -5, -6, 5, -8],\n [4, -8, -6, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-351", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[0, 2, 2, -7, 7],\n [-8, -7, -1, -10, 2],\n [10, -1, -7, -10, -5],\n [-7, 1, -3, -1, -2]]\nB =\n[[9, -9, 3, -6],\n [-2, 8, 9, -10],\n [-6, 1, 4, 5],\n [-1, -6, -8, -10],\n [-2, 1, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -1, 7, -6, -7, -2],\n [9, -1, 6, 7, 1, -9],\n [9, -4, 5, -6, -2, -9],\n [6, -2, -9, 0, -8, -7],\n [-4, 4, 6, -1, 9, 4],\n [5, 5, -5, -5, -1, -10]]\nB =\n[[-9, 2, -10, -6, -6],\n [2, 7, 3, 9, -8],\n [5, 5, 1, -1, 0],\n [-3, 6, 7, 5, 9],\n [-5, 5, -7, -9, 4],\n [-9, -6, 9, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-821", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[7, 8, -8, -5],\n [-6, -5, 10, 0],\n [10, -5, 5, -8],\n [4, 1, 2, -5]]\nB =\n[[2, 5, -3, 6],\n [9, -4, 9, 4],\n [-5, -10, 6, -8],\n [-8, 6, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 9, 8, 9, -8],\n [2, -2, -1, 0, 1],\n [5, 4, -8, -8, -9],\n [0, -10, 4, 10, -8]]\nB =\n[[9, -10, 5, -4],\n [-10, -1, -9, -1],\n [1, -9, 10, -7],\n [4, -9, -7, 9],\n [8, -9, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1029", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-6, 2, -3, 5],\n [10, -10, -6, 10],\n [9, -9, -8, 10],\n [-2, 4, -10, 7]]\nB =\n[[-1, 10, 10, -2, 3, -3],\n [-8, -8, -5, 9, -4, 3],\n [-2, 5, 2, 4, -3, -3],\n [6, 10, 3, -5, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 2, 10, 9],\n [3, 5, 6, 7],\n [-9, 2, -7, 10],\n [-4, -2, -5, -5],\n [-5, -9, -4, -9]]\nB =\n[[-9, -7, -4, 6],\n [8, 5, 9, 9],\n [0, -8, -4, 8],\n [6, -6, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1738", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 1, 8, -4],\n [0, 10, -3, 1],\n [3, 1, 7, 7],\n [3, 5, 4, 3]]\nB =\n[[4, 8, -2, 1, 1],\n [-3, 3, 9, -2, 9],\n [4, 6, -4, 4, -4],\n [-7, 10, -6, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 2, -2, -2],\n [6, 1, -7, -4],\n [7, -4, 7, -6],\n [9, -3, -3, -2]]\nB =\n[[-4, -4, -5, 8, 8, 10],\n [-9, 2, -1, -10, -4, -3],\n [-6, 8, -7, 9, -4, -3],\n [0, -8, 0, 9, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-5, 0, 3, -6],\n [5, 1, 0, -4],\n [0, 9, 2, 5],\n [10, 7, 4, 0],\n [9, -8, 3, -6]]\nB =\n[[2, 1, -8, -3, 4],\n [-7, 5, 9, 6, -4],\n [5, 1, -4, 6, 7],\n [-3, 0, -6, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, -2, -1, -1],\n [5, -3, -3, -3, -8],\n [-10, 10, -7, -1, -2],\n [-1, 8, -1, 1, -6],\n [0, 9, -9, -6, -8]]\nB =\n[[-4, -2, 8, 8, -7],\n [-10, -6, 5, 4, -10],\n [8, 1, 5, -8, -10],\n [6, 6, 10, -4, -2],\n [5, -9, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-549", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, 5, 6],\n [-2, -3, 9, -5],\n [5, -9, 6, -10],\n [-8, 8, -9, -2],\n [-10, 2, -10, 6],\n [8, 2, -2, 3]]\nB =\n[[1, 0, 9, 4, -7],\n [-6, 5, -10, 9, 5],\n [-2, 4, -10, 1, -1],\n [-4, 3, -9, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -6, 5, 8],\n [-7, -10, 1, -6],\n [-5, 1, 2, 5],\n [-8, -2, 7, -10]]\nB =\n[[-5, -9, 5, 9, 5],\n [-2, 8, -10, 5, 1],\n [-7, 6, 7, 5, -1],\n [-6, -5, 10, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, -3, 10],\n [-9, 7, 5, -9],\n [9, 1, 6, -6],\n [-7, 4, -3, -8]]\nB =\n[[-9, 0, -3, -7, 10, 4],\n [9, -5, 3, -10, 6, 7],\n [-7, -4, 0, 1, 1, 7],\n [10, -6, 10, 10, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 5, -7, 8, 8],\n [2, 1, 7, 6, -5],\n [2, -9, -8, -7, 9],\n [4, 6, -3, 3, 3]]\nB =\n[[-1, -3, 6, 1, -2, -9],\n [-5, -8, 1, -6, 10, -6],\n [-4, -2, 0, -2, 8, -6],\n [-8, 6, -3, -9, 6, -9],\n [5, -5, -10, 9, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-7, 10, -6, -5, 1],\n [1, -9, 10, -5, -4],\n [-4, 8, 6, -8, -1],\n [5, 8, -9, 8, -4]]\nB =\n[[7, 6, 9, -6],\n [0, -2, -4, -4],\n [-6, 2, -7, -9],\n [-6, 5, -6, -7],\n [-7, 5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 3, 9, 8, 4, -5],\n [6, 1, 6, 1, 7, 10],\n [4, -1, -4, -5, 7, -2],\n [8, -8, 10, -10, 4, -10],\n [-3, 3, 0, -8, -1, 6],\n [10, 7, -6, 2, 7, -2]]\nB =\n[[-5, -3, -9, 6],\n [4, 7, 10, 2],\n [9, 3, -9, 6],\n [0, -7, -7, 0],\n [-4, -3, -8, -5],\n [-5, 5, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1520", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 3, 1, 2, -8],\n [-6, -4, -6, 8, -5],\n [5, -7, 7, 4, 2],\n [-6, 6, 2, 6, -4],\n [10, 10, -4, -4, 0],\n [-3, 4, 2, 0, 9]]\nB =\n[[7, -8, -9, -2, 2],\n [9, 1, 2, 8, -9],\n [0, 4, 8, -9, -1],\n [-5, -4, -1, 7, -4],\n [-4, 8, 1, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[6, -9, 4, -8],\n [-2, -1, 5, 7],\n [-9, -3, -10, -4],\n [-10, 0, 9, -4]]\nB =\n[[-9, -7, -5, 2, 1],\n [4, -1, 1, -4, -10],\n [-2, 0, -9, -6, 3],\n [-2, -1, -8, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[5, 6, 0, -6, 5, 3],\n [2, -8, -1, -5, -5, -6],\n [-4, 8, -7, -4, 3, 6],\n [3, -3, 5, -7, 5, -7],\n [5, 8, -6, 8, 8, 6],\n [7, 4, -2, -3, 5, -6]]\nB =\n[[3, -9, 3, 4],\n [7, 7, -5, 7],\n [3, -7, 7, 5],\n [8, 9, -3, -7],\n [-6, 8, 10, 7],\n [8, -5, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -8, 0, -5, -2, 4],\n [-9, 10, -6, -6, -6, 6],\n [-3, -4, 2, -6, -2, 4],\n [5, 6, -9, -6, 2, -8],\n [7, -2, -3, -2, 5, 5],\n [4, 8, 1, 1, -5, -3]]\nB =\n[[-10, -6, -10, -10, -8],\n [-4, -7, 3, -1, 1],\n [-4, -4, 9, 4, -8],\n [3, -4, 6, 10, 10],\n [9, -5, 9, -1, -5],\n [5, -2, 4, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1609", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -9, 3, -10],\n [-1, -10, 7, 7],\n [0, -8, -3, -1],\n [-5, 9, 7, 2],\n [-9, 9, -7, -3]]\nB =\n[[10, 1, -10, 9, 4, 8],\n [3, -8, 6, 2, 6, 6],\n [-10, -7, -10, -8, 10, -5],\n [6, -9, -8, -6, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1929", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -2, -9, 7, -1],\n [-9, 8, 6, -4, -10],\n [4, 10, -10, -7, 3],\n [0, -10, 3, 4, -2],\n [0, 1, 6, -10, -8]]\nB =\n[[-10, 8, 10, -8, 1],\n [8, -10, -4, -6, 8],\n [9, -6, 1, 1, -4],\n [2, 9, 7, 5, -10],\n [5, 7, 1, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, -1, 10, -4],\n [-1, 9, -1, 7],\n [4, 10, 2, -5],\n [-1, 1, 7, 2],\n [-2, 3, -1, 8],\n [-7, 8, -9, -2]]\nB =\n[[-8, 5, -1, 9, 10, -9],\n [-9, -3, 2, 0, 1, 8],\n [-2, 6, 3, 9, -1, 5],\n [-6, -1, 7, 9, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[4, 3, 1, 5],\n [9, -6, 0, 7],\n [-7, -5, 4, 0],\n [6, 5, 9, -1]]\nB =\n[[-2, 8, 9, -8],\n [-1, -1, 4, -6],\n [7, 2, -3, 3],\n [1, -2, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -7, 0, 6, -2, -8],\n [2, -7, 5, 10, 8, -2],\n [6, 0, -4, 6, 10, 7],\n [6, 1, 6, -1, 10, -4],\n [-5, 10, 8, 0, -6, 0]]\nB =\n[[-5, 6, -5, 7, -2, 2],\n [-1, 0, 4, -10, 4, 4],\n [3, 10, -10, -6, -8, 0],\n [10, -4, -10, -5, -10, 2],\n [-9, 9, 0, -8, -10, -4],\n [-4, 2, 2, 2, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 9, 4, 8],\n [-6, 6, 0, 0],\n [7, 4, 3, 6],\n [6, -5, -1, -10]]\nB =\n[[2, 4, -3, -8, 2, -6],\n [-2, -5, -2, -7, 8, -7],\n [3, 7, 2, 8, -10, -10],\n [1, -9, 10, -2, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 10, -5, -4],\n [-3, -10, 9, 4],\n [9, -7, 9, 3],\n [-1, -6, 4, 5],\n [3, -5, -3, 2],\n [2, 5, 9, 9]]\nB =\n[[0, 2, 2, -8, -10],\n [-8, 7, 10, 3, 9],\n [1, 5, 8, 4, 0],\n [5, 0, 8, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 6, -1, -8, 8],\n [9, 10, -9, -7, 10, -4],\n [-9, 10, -6, -4, -9, 6],\n [-4, 10, 10, 3, -4, -4]]\nB =\n[[2, 3, 10, -5],\n [-7, 4, -8, 2],\n [3, -6, 5, 7],\n [-7, 3, -1, 3],\n [-2, -8, -7, -6],\n [0, 0, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 8, -6, 4, 6],\n [3, 10, -1, -6, 7, -8],\n [-9, -7, 1, -8, 7, -10],\n [-9, 4, -3, 3, -3, 7],\n [-7, 3, -1, -9, -8, -7]]\nB =\n[[-9, 3, 10, 7, 1, -8],\n [4, -9, 3, -8, -1, 5],\n [-8, -6, 3, -2, 5, -8],\n [4, -4, 10, 9, 3, -6],\n [3, 0, 9, -8, 7, -9],\n [-3, 1, 7, -7, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-554", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -1, -10, -5, -4, -1],\n [-2, -3, -6, 8, -6, 7],\n [9, 8, 8, -9, -8, 5],\n [4, -8, 10, -9, -5, -6]]\nB =\n[[-3, 5, -6, -5, 2, 8],\n [4, 3, 9, -5, -9, 10],\n [-4, -2, 1, -6, 6, 6],\n [0, -6, 6, 0, 4, -2],\n [4, -5, -6, 9, -1, 4],\n [-1, -5, -4, -9, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, 10, -4, 7],\n [10, 8, -3, -6],\n [4, 9, 5, -3],\n [-4, 7, -6, -2]]\nB =\n[[-3, -6, -4, -3],\n [9, -4, -4, -3],\n [-3, -10, 1, 4],\n [-2, 4, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -3, -1, 3, 2],\n [9, 2, -5, 2, 1],\n [7, -6, 9, 0, -9],\n [10, -7, 1, -9, 5]]\nB =\n[[8, -1, 2, -5],\n [-10, 2, 8, -6],\n [8, -10, -1, 0],\n [-2, -2, -7, -2],\n [-7, -7, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 5, -1, 2],\n [0, 3, 3, -2],\n [2, -6, 5, 2],\n [-8, -5, 6, 9],\n [4, -1, -6, -1],\n [7, -9, 2, -6]]\nB =\n[[-8, 7, -2, 8, 5, 6],\n [-4, 8, 2, -6, 4, 4],\n [5, 0, 5, -10, -8, 5],\n [-10, -6, 4, 10, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, -3, 3],\n [-5, 3, 1, -8],\n [5, -10, 4, -3],\n [-9, 8, 1, 6],\n [-1, 7, 7, 7],\n [9, -6, 0, 0]]\nB =\n[[7, 8, 4, 3, 0],\n [7, 7, -1, 9, -9],\n [9, -5, 3, 5, 9],\n [-10, -7, -9, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -7, 1, -8],\n [-8, -10, -8, 10],\n [-1, -9, 3, 7],\n [-8, 5, 8, -9],\n [8, 1, 10, 5],\n [8, -3, 0, 3]]\nB =\n[[0, 0, 0, -9],\n [-2, 4, 2, -8],\n [-6, 4, 4, -9],\n [1, -4, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 5, -7, -5, 8],\n [-5, -8, 6, 3, -9],\n [-5, -5, 6, 4, 3],\n [6, -6, 7, -10, -5],\n [0, 9, 8, -2, 8]]\nB =\n[[10, 7, 2, 7],\n [10, -9, -1, 10],\n [0, 5, 8, -5],\n [2, 2, -2, 4],\n [7, 9, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1517", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[2, 4, -4, 6, 5],\n [-9, -5, -3, 1, 3],\n [-9, -8, -2, -7, 2],\n [4, 8, -4, 2, 6],\n [-7, 8, 9, -9, -5],\n [-5, -9, 9, -3, -2]]\nB =\n[[0, 6, 8, 8],\n [4, 9, 5, -1],\n [-5, -9, -8, -4],\n [-7, -1, -7, 0],\n [5, -8, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 6, -1, -4, -8],\n [-5, -1, 1, -3, -4],\n [2, -1, 10, 0, 1],\n [2, 10, 4, 9, -3],\n [5, -10, 10, 9, -10]]\nB =\n[[7, -4, -4, 6, 0, -5],\n [-5, -3, 7, 2, 1, -9],\n [0, 3, -1, 5, 3, -5],\n [-10, 0, 2, -10, -3, 10],\n [-8, 8, -3, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, -4, 10, -8],\n [5, -1, -1, -3, -6],\n [5, -1, -6, 1, -6],\n [7, -7, 6, 7, -2],\n [-5, -2, -9, -7, 1]]\nB =\n[[-5, -1, 4, 10, 3],\n [-4, -4, 4, -8, -6],\n [-5, 0, 2, 5, 4],\n [4, 4, -1, -9, -5],\n [8, -6, 0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 5, 4, 10],\n [-8, 4, 0, 0, -1],\n [-7, -7, -9, 1, -8],\n [8, -10, -9, 5, -3],\n [10, -4, -7, 10, -6],\n [7, 4, -2, 6, 8]]\nB =\n[[9, 0, -10, -3, -6, 0],\n [-7, 3, -5, -4, -6, -5],\n [-9, -8, -7, 9, 8, 5],\n [-7, 4, 1, 7, 3, -3],\n [2, 3, 5, 1, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1784", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[10, 10, -1, 9, 7],\n [6, 8, -8, 7, -9],\n [7, 7, 6, 1, 8],\n [1, 5, 8, 0, -1],\n [-5, -2, 2, -4, -10]]\nB =\n[[-1, -3, 7, 6, 10],\n [7, 3, -4, 5, -2],\n [-5, 8, -9, 2, -8],\n [-9, 6, -8, 7, 6],\n [-3, 8, -6, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 8, 3, 3, 9, -2],\n [8, 3, 9, 6, -8, -7],\n [3, 0, -6, -4, -9, -8],\n [-10, -1, 1, 2, -6, 4],\n [0, -2, -6, -8, -4, 5]]\nB =\n[[-6, 0, 8, 3],\n [-2, 2, 1, -3],\n [-2, 10, 0, -8],\n [2, 8, 0, 4],\n [-2, -5, -3, 0],\n [9, 0, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, -9, 2],\n [-1, 7, 7, 7],\n [-2, -3, -6, 3],\n [-2, -2, 9, 8]]\nB =\n[[-4, -1, -9, 10, -1, 0],\n [-10, 10, -5, 6, -2, -6],\n [10, 7, 7, 2, 0, 2],\n [8, -1, -1, 7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -8, -5, -8],\n [-8, 0, -4, -8],\n [2, 1, 5, 9],\n [-10, 9, 4, -2]]\nB =\n[[-5, 10, 9, -3, -1],\n [-10, 7, -5, -6, -6],\n [-6, 7, 9, -7, -9],\n [-9, -3, -8, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-4, -5, -9, 4, 8, 1],\n [-6, -4, 1, -3, -7, 0],\n [-6, 6, 10, 2, 4, -1],\n [-6, 1, -10, 9, -4, 4],\n [9, 6, 0, -6, 10, 5],\n [-3, 5, -10, -9, -9, 10]]\nB =\n[[-10, -1, 5, 10, -7],\n [-7, 3, -9, 10, -9],\n [3, -8, -2, -4, 1],\n [-7, 2, 10, -4, 5],\n [5, -2, -10, 5, 7],\n [9, -2, 7, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -2, -1, -1, -2, -7],\n [-7, 3, -8, -6, 1, 4],\n [5, -6, 6, -8, -9, -1],\n [-7, 9, 3, 1, 4, -7]]\nB =\n[[-10, 8, 1, -7, 5, -4],\n [10, 1, 2, -3, -9, 4],\n [6, -5, -3, 4, -8, 4],\n [4, 1, 2, 8, -10, 6],\n [-2, 9, -10, -6, -9, -3],\n [-6, 3, 8, -5, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 10, -9, 5, 3],\n [2, 4, 3, -1, -9, 6],\n [8, 5, 3, 6, 6, 9],\n [8, 2, -4, 1, -3, 9],\n [9, -2, 1, 1, 8, 2],\n [-4, 8, 8, -7, -5, 5]]\nB =\n[[5, -4, 6, -10, 1, -10],\n [2, 9, -3, 7, 3, -3],\n [-3, -2, 7, 7, -5, 9],\n [3, -6, -6, 10, -9, 7],\n [8, 8, -2, -4, -7, -2],\n [8, 8, 4, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2361", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 6, 3, -2, 5],\n [-9, 10, 3, 8, -7],\n [4, 6, 3, -2, 3],\n [-3, -1, -4, 8, 9]]\nB =\n[[-10, 9, -6, -5, 3, 9],\n [-8, -7, 5, -6, -8, 9],\n [-3, -3, -7, 4, -6, -5],\n [3, 4, -5, 4, -9, 7],\n [2, -2, 3, 4, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 8, -4, 7, 7],\n [8, 6, 3, 4, -5],\n [10, 9, 8, 10, -4],\n [10, -4, -4, -10, -6],\n [-4, 3, 2, 3, 7]]\nB =\n[[-8, 9, 1, -8, 1, -6],\n [0, 5, -3, -10, 2, -4],\n [9, -2, 4, 2, -5, -10],\n [10, 6, -4, -9, 8, -6],\n [-4, -8, -2, -6, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -3, 8, 10],\n [-5, 3, 8, 5],\n [-6, 1, -2, 5],\n [-8, 8, 8, -4],\n [6, -10, -2, 9],\n [5, -10, -1, -3]]\nB =\n[[-1, -7, 8, 1, -1, -10],\n [-5, -3, -1, -8, 4, -4],\n [-8, 10, 1, -2, 6, -4],\n [3, 4, -2, 8, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 4, 3, -7],\n [-4, -6, 2, 5, 2],\n [10, 3, 6, -4, -7],\n [8, 9, -6, -9, -1]]\nB =\n[[-10, 3, -3, -4, -8],\n [-3, 3, -10, 9, -10],\n [1, -5, -9, -9, -7],\n [4, 9, 0, -4, -5],\n [1, 7, 2, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 7, -10, 8],\n [-10, 2, 6, 10, -8],\n [8, 3, 0, 9, -10],\n [9, -3, 4, 8, 1]]\nB =\n[[-10, -1, -1, 0, 9],\n [0, -10, 1, 6, 5],\n [-5, 4, -9, -10, -8],\n [-4, 10, -10, -1, -10],\n [-4, -7, -10, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[3, 4, -8, 1],\n [10, 6, 4, 7],\n [-3, 1, 1, -8],\n [-7, 6, -2, 1],\n [4, 3, -4, 9],\n [7, -7, 8, 2]]\nB =\n[[5, 6, -4, -9, -9, -8],\n [4, 2, 4, -9, 5, -9],\n [2, -3, 8, 3, 8, -6],\n [-8, -8, -4, -7, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, 6, -7, -10, 3],\n [-2, -4, 8, -3, 7, -4],\n [3, 0, 0, -6, 1, 2],\n [-10, 8, 0, -10, 9, -8],\n [1, 4, 4, -9, -6, 7],\n [4, 6, -5, 7, 7, -5]]\nB =\n[[-9, 6, -10, -2, 2],\n [-4, 2, 3, 1, -2],\n [-10, 3, 5, -3, 1],\n [-4, 5, -6, 6, -7],\n [-5, -9, 10, 1, -6],\n [3, -6, -10, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-7, 0, 5, -4, -6, 4],\n [-6, -7, 7, -7, 1, -9],\n [-7, 3, -9, 3, -3, 1],\n [-7, -10, -9, -6, 7, 7],\n [9, -5, 5, -8, 3, -1],\n [-4, 7, 6, -4, 1, -2]]\nB =\n[[6, 4, 9, -5],\n [3, 8, 6, -3],\n [-5, 0, 1, 7],\n [-10, 1, -7, 1],\n [-1, -4, 1, -5],\n [3, 5, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -8, -5, -1],\n [-9, -10, -9, 5],\n [6, -5, -2, -1],\n [-5, 2, 5, -1],\n [-10, -2, -7, 5]]\nB =\n[[-5, 3, 3, 1, -7, -10],\n [-7, 8, -1, 9, 10, 9],\n [-10, 7, -10, 3, -8, -3],\n [-7, -9, 10, 9, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -7, 4, 4, 10],\n [-9, -8, -10, 1, 9, 6],\n [-6, 3, -10, -4, 9, 1],\n [-7, 0, 4, 1, 3, -9],\n [-1, -6, 4, -6, 4, 3],\n [-1, 7, -2, 5, 5, 5]]\nB =\n[[-5, -10, -2, -9],\n [3, 1, 2, 5],\n [8, -1, -10, -7],\n [-6, -8, -10, -1],\n [-7, -1, -7, -9],\n [6, 8, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 7, -6, -6],\n [-10, 3, 5, 6, 0],\n [-2, 8, -10, 0, 10],\n [-8, 7, -3, 3, 4]]\nB =\n[[-10, -8, -10, -6, 3, 2],\n [-9, 7, 7, -10, -10, 6],\n [-2, -5, -9, 8, -1, 0],\n [10, 9, -7, -7, -8, 0],\n [7, -3, 8, -9, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2249", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, 0, -1, -8, -1],\n [1, -9, -2, 2, -2],\n [-6, 9, -8, 1, 0],\n [-10, -6, -6, -3, -1]]\nB =\n[[-2, -9, 1, -10],\n [4, -10, 4, -8],\n [-10, 5, -8, 4],\n [-4, 0, -5, 4],\n [6, -5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 5, -7, 4],\n [-8, 4, 3, -6],\n [-6, -10, -3, -8],\n [2, -2, -3, 8]]\nB =\n[[-3, -8, -3, -10],\n [-10, -8, -10, -5],\n [-3, 0, -4, 0],\n [-4, -3, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-4, -2, -6, 10],\n [-8, 10, -9, -2],\n [7, -8, 8, 6],\n [3, 10, -1, 3],\n [4, -8, -7, -9],\n [-6, 2, 9, 7]]\nB =\n[[2, 10, -8, 10, 3, -6],\n [-3, 4, 10, 0, 9, 10],\n [1, -5, 2, -1, -2, 3],\n [9, 8, 8, -1, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, 7, -1, 1],\n [-8, 5, 10, -6, 9],\n [10, 8, -3, -7, 4],\n [9, 8, 1, 4, 7]]\nB =\n[[5, -8, 7, 10, -6],\n [-2, -2, 2, -2, 3],\n [6, -10, -2, -2, -7],\n [4, 4, -1, 7, 8],\n [-9, 5, -10, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, 1, 1],\n [6, 9, 1, 5],\n [5, 1, -8, -9],\n [9, 5, -5, 3],\n [-8, -2, 1, -5],\n [-5, -4, -7, 5]]\nB =\n[[-5, -9, 9, -6, -5, 6],\n [7, -7, 3, -7, 2, 1],\n [4, 5, -9, -4, -2, 5],\n [2, 10, 6, -7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 5, -3, -2],\n [-8, 1, 0, -2],\n [9, -1, 7, 8],\n [-8, -10, -9, -8],\n [-1, -6, 3, -6]]\nB =\n[[9, 5, -1, 3, -8, -2],\n [-4, 3, 10, 10, 3, 8],\n [-1, -9, 6, -7, 10, -8],\n [7, -5, 6, -6, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-5, 10, 3, -10, -9, 10],\n [-5, -1, -6, 1, -9, 2],\n [7, -2, -1, 5, -8, 8],\n [-10, 1, 2, 10, -2, 6],\n [-2, -2, 10, 7, -6, -4],\n [-10, 9, 10, 7, 6, -1]]\nB =\n[[-4, 6, -9, -7, 2, -5],\n [-5, -8, 10, 5, 8, 3],\n [9, 9, 5, 10, 5, -2],\n [0, 8, 4, -8, -9, -1],\n [7, -2, 7, 3, -5, 8],\n [9, 6, 1, 2, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 6, -10, 5, -2, 8],\n [0, 2, -8, 4, -4, 7],\n [-3, 0, 9, -6, 5, -10],\n [3, 4, 8, -10, 5, -1],\n [-1, 10, 1, 6, 2, -3]]\nB =\n[[0, -5, 8, 5],\n [5, -4, 4, -10],\n [-6, 1, 0, 4],\n [4, -3, 2, -7],\n [8, -7, 6, -10],\n [10, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -6, -7, -6, -9],\n [-5, -9, -4, 10, 7],\n [-6, 0, 7, -4, 1],\n [-9, 10, -3, -10, -8],\n [4, -7, 5, -1, -1],\n [3, -9, 4, 0, 6]]\nB =\n[[-10, 6, -6, 10],\n [1, -9, 9, -8],\n [-5, 2, -2, -10],\n [-6, 2, 5, -10],\n [1, -5, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[2, -3, -10, 10, 10],\n [7, 3, -1, 6, -2],\n [1, -9, 5, 8, -4],\n [1, 8, 6, -1, -3],\n [5, -5, 5, -4, 10],\n [-6, -5, 8, 10, 10]]\nB =\n[[5, 10, -10, 5, 9, -4],\n [10, 9, -5, 2, -10, -8],\n [-7, 4, 7, 0, -9, -5],\n [-10, 2, 10, 1, -10, -10],\n [0, -4, 7, -5, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, -8, 4],\n [-4, 2, -2, 5],\n [4, 6, -2, 3],\n [5, -6, 0, -1]]\nB =\n[[0, -2, -10, -5, -4],\n [-8, -5, 3, 9, 4],\n [-10, -4, 7, -8, -9],\n [-1, 0, -9, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 3, -10, 10, 0],\n [-10, 6, -10, -1, -10],\n [7, -4, -10, 8, 10],\n [1, -8, 6, 2, -10],\n [9, -4, -10, 4, -4],\n [6, 8, 8, 8, 5]]\nB =\n[[7, 9, -1, 1, 4],\n [0, 9, -4, -5, 4],\n [-7, -5, 3, 9, 5],\n [5, -2, -4, -1, 5],\n [7, -10, -6, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2506", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 1, -7, -9, -2, 4],\n [-6, -3, -8, 10, 6, -6],\n [5, 0, 3, -8, -2, -10],\n [0, -4, -10, 2, 6, 1]]\nB =\n[[6, -2, -5, 5],\n [-7, -2, 7, 0],\n [-10, -6, 0, 3],\n [2, 2, -7, 8],\n [3, 7, -1, 10],\n [9, 1, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, -6, 8, 10],\n [-10, -4, 8, 9, 5],\n [2, 7, -6, -7, 8],\n [5, 3, -3, -10, -7]]\nB =\n[[0, -4, -10, -10],\n [7, 10, -8, -7],\n [1, 7, -4, 4],\n [-5, -9, -9, -4],\n [4, -3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1216", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[2, -1, -3, 10, -2],\n [3, 9, -2, -6, 7],\n [-5, 8, 9, -10, -9],\n [3, 1, -5, -1, 6]]\nB =\n[[7, -10, -1, -10, 6],\n [-2, -1, 4, -6, 7],\n [-1, -3, -8, 9, 3],\n [7, 7, -8, 8, -10],\n [1, -7, 10, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -8, -10, -4, 9],\n [-3, 2, 4, 5, -2],\n [10, 9, -10, 8, -5],\n [-9, -7, -8, -3, 8],\n [-9, -5, 8, -3, -4],\n [0, 8, 8, 8, -10]]\nB =\n[[9, -1, 3, 5, -10, 3],\n [10, -7, -4, 3, 4, -2],\n [9, 1, 3, 0, 3, 10],\n [-7, 6, -9, -9, -7, -7],\n [7, -5, 1, 2, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -2, -7, 0],\n [4, 5, 10, 6, -2],\n [-4, 3, 10, 5, -9],\n [-10, 2, -10, -7, -8]]\nB =\n[[-6, -10, 3, -2],\n [-10, 10, -7, -4],\n [-3, -6, -10, -8],\n [-3, -4, -10, 1],\n [1, -10, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-6, -10, 5, -5, -8],\n [4, 2, -5, -6, -5],\n [-1, 7, 3, 6, 9],\n [0, -2, 4, 6, -7],\n [-2, -10, -9, 7, -10],\n [2, -10, 0, 2, 4]]\nB =\n[[-7, -5, 5, 4, 4, -7],\n [-6, -3, 0, 0, -3, -2],\n [2, 1, 1, -10, -10, -9],\n [-1, -6, 3, -3, -7, 0],\n [-3, 2, 9, -8, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -2, 3, -2, -1],\n [-10, -3, 2, 2, 0, -4],\n [-1, 2, 4, -2, -5, 2],\n [-2, -8, -4, 1, 7, -3]]\nB =\n[[-7, -10, -9, -3],\n [9, -3, 0, 3],\n [7, 9, 7, 7],\n [7, -2, -6, 4],\n [-10, -3, -4, -5],\n [4, 3, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[0, 6, -3, 5, 5],\n [-6, 10, -5, 9, -7],\n [7, -5, -3, 4, -2],\n [-2, -10, -10, 1, -4],\n [-8, -4, 1, -7, 7],\n [-3, -8, -7, 5, 10]]\nB =\n[[-5, 1, 0, -6, -5],\n [-3, -2, 9, 5, -6],\n [-10, 8, 8, 4, -5],\n [-5, 6, 0, -10, -3],\n [7, -8, 1, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -1, 5, 9],\n [9, -10, 4, 8],\n [-9, 6, -2, -5],\n [7, -10, 3, 1]]\nB =\n[[9, 7, 5, 3, 5, 6],\n [-10, -2, 3, 7, -2, 7],\n [6, -7, -1, -2, -1, 8],\n [-4, -6, 0, 5, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -8, -2, 0],\n [-5, -10, -3, -9],\n [-1, 7, 7, 9],\n [-7, 7, 1, 4],\n [5, 4, 2, -6],\n [5, 9, 10, -6]]\nB =\n[[1, -10, -10, 2],\n [9, -4, 8, 2],\n [10, 2, -1, 10],\n [0, -3, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1616", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 1, -9, 6, 10, -5],\n [9, 7, 1, 10, -6, 9],\n [-6, -5, -10, 3, 9, -8],\n [10, -5, 4, -4, 2, 9]]\nB =\n[[2, -3, -1, -10, 6],\n [7, -5, -6, -9, -9],\n [5, 6, -6, 3, -8],\n [10, 3, 2, 1, -7],\n [0, -6, -5, 0, 10],\n [-1, -9, -9, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1897", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 9, 5, 0, 5],\n [-1, -5, 10, -10, -10],\n [3, -6, 3, 7, -8],\n [6, 5, -4, -9, -7]]\nB =\n[[7, -3, 2, 10, 1, -6],\n [2, 7, -2, -9, -7, 6],\n [-1, -3, -6, -1, -7, 7],\n [4, -2, -10, -6, -4, -1],\n [0, 2, -2, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -8, 5],\n [4, -10, -8, 0],\n [-10, -1, -5, 1],\n [10, -3, -1, 3],\n [0, 3, -2, 10],\n [8, 5, 9, 7]]\nB =\n[[2, -10, 3, -7, -9, 6],\n [-5, -6, 6, -3, -2, -2],\n [1, 6, -2, 9, -10, -9],\n [-2, 3, -7, -4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 4, 4, -8, -10, -10],\n [7, -9, -10, 5, -4, 5],\n [8, -9, -6, 9, 0, 1],\n [-2, 1, -9, 8, 9, -7]]\nB =\n[[-6, 3, 9, -9, 4, 9],\n [-1, -7, 9, -2, 8, -4],\n [7, -2, -1, 0, 3, 7],\n [-1, -3, 1, 6, 6, 2],\n [-9, 9, 9, -6, -1, 10],\n [-5, 4, 10, -2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1502", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 7, 2, -5, 5, -6],\n [-3, -7, 0, -1, -6, 8],\n [6, 10, 5, 9, 9, 10],\n [-4, -6, -8, -3, 0, 8]]\nB =\n[[-7, -9, -10, 10, -9, 2],\n [-6, -4, 2, 4, -2, 4],\n [1, 7, -7, 8, 6, 9],\n [-9, 0, -8, -9, 7, 2],\n [0, 0, 10, 6, 8, -4],\n [-1, 3, -9, -5, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, -5, 1, -9, -5],\n [-4, 6, -2, -5, -8, 4],\n [3, -7, 2, 9, 5, -3],\n [-1, -1, -3, -4, -8, 0],\n [2, -4, -8, 2, 3, -2]]\nB =\n[[-1, -1, -3, -10],\n [6, 5, -10, -4],\n [-3, -1, -9, 0],\n [-6, -3, 5, -2],\n [-8, -8, 7, 0],\n [9, 2, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[5, -5, -8, -8],\n [-10, 0, -3, 2],\n [-1, -5, -2, 7],\n [-10, -1, 7, -6],\n [2, 4, -4, -9],\n [-4, -7, -1, -1]]\nB =\n[[-7, 1, -2, 2, -2, -9],\n [10, -9, -4, 3, 9, -5],\n [-8, -2, 6, -7, 1, -3],\n [-3, -3, -1, 5, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -9, -3, 4, 1],\n [6, 1, 8, -2, 4],\n [-5, 6, -8, 5, -1],\n [-10, -4, 7, 5, 9]]\nB =\n[[6, 0, -8, 10, 6, -7],\n [-9, -5, 5, 4, -1, 7],\n [6, 5, 7, -9, 6, -6],\n [-10, -6, 9, 1, -8, 5],\n [4, -3, 8, 6, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1602", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 4, 1, -3, 3],\n [1, 7, -7, -8, 10],\n [-10, -10, 0, 6, -10],\n [-1, -9, 8, 6, -10],\n [0, 7, -10, 0, 10],\n [-3, 0, 3, 3, 10]]\nB =\n[[-9, -4, -4, -1],\n [1, 1, -9, -5],\n [-8, -10, 6, 0],\n [10, -8, -9, -3],\n [-5, -5, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1461", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, -10, 10],\n [4, -3, 10, -3],\n [4, 0, -2, -1],\n [-3, 1, -5, -1]]\nB =\n[[-10, -10, 10, 2, 2, -8],\n [8, -6, 5, 0, -3, -6],\n [0, -3, 1, 2, -10, 6],\n [6, -8, 2, -3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 7, 10, -8],\n [-10, -1, -8, -6],\n [-1, -6, 9, 7],\n [-5, 7, -7, 9],\n [4, 5, -9, -4]]\nB =\n[[4, -8, -9, 3, 6],\n [-8, -1, 4, -8, 7],\n [-7, 0, -2, 10, 6],\n [9, 6, 3, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1917", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[-7, 4, 1, -8],\n [-7, 3, -2, -1],\n [9, -5, -6, 1],\n [5, -6, -8, -5],\n [-9, 4, -2, 0],\n [2, 0, 5, 6]]\nB =\n[[0, 8, 5, 3, -1, 10],\n [-6, -5, 7, 9, -9, 5],\n [8, 0, -4, -1, 6, 7],\n [8, -4, -9, 0, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[8, 7, 10, -9],\n [4, 10, -9, 9],\n [0, 8, 7, 5],\n [2, 8, -1, 0]]\nB =\n[[-4, 8, 7, -6, -10],\n [-10, 9, 3, -4, -7],\n [-8, -6, -3, -10, 10],\n [6, -5, -2, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 3, 0, 10, -5],\n [9, 5, 8, -5, -7],\n [10, -2, -5, 3, 8],\n [-10, -5, -6, 2, -5],\n [-9, -2, 7, -6, 2],\n [-10, 7, 7, -7, 10]]\nB =\n[[-3, 0, 8, -3, -7],\n [-2, 10, 4, -10, -3],\n [7, 1, 7, -7, 0],\n [0, 3, -3, 4, -8],\n [1, 3, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 0, -8, 9, 5],\n [-2, -7, 2, 2, -4],\n [2, -4, 9, 2, 4],\n [4, -3, 6, 0, 0],\n [-6, -3, 7, 4, 3],\n [10, -6, -7, 1, 2]]\nB =\n[[-1, 2, 0, 3, 7],\n [-3, -10, 4, -2, -9],\n [-8, 1, 8, 0, -1],\n [-8, -8, -5, -3, -7],\n [5, -3, -2, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 2, 6, -5, 4, -5],\n [8, 6, -3, -10, 10, -4],\n [-5, 2, 9, -2, -5, 3],\n [-8, -4, -4, 6, -2, -6],\n [7, 10, 4, 2, -5, 10],\n [-10, -7, 6, 7, -8, -6]]\nB =\n[[-5, -8, 9, -2],\n [6, 3, 5, -3],\n [-7, 6, -7, -9],\n [4, 8, 0, 7],\n [6, -7, -3, -10],\n [-7, 0, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -2, -7, -9, -10, 10],\n [4, -7, 8, 6, 10, 10],\n [7, -9, -5, -1, 1, -3],\n [-2, -10, 3, 5, 2, -6],\n [4, -3, 2, -8, 8, -1],\n [-3, 10, 2, 5, -1, 8]]\nB =\n[[6, 0, 2, -10, 7],\n [-1, -1, -8, -10, -10],\n [-2, 3, 6, -5, 2],\n [-10, 9, 0, 0, 9],\n [5, 8, 4, 0, 1],\n [6, 6, 2, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "993", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, -2, -10, 1],\n [-7, 1, -8, -7],\n [-4, 4, 3, 7],\n [4, 3, -3, -7],\n [-5, -9, -1, -7]]\nB =\n[[2, 2, -6, 4, 0],\n [-7, 0, 9, -6, -10],\n [-7, 2, 10, -4, -2],\n [-3, -6, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-6, -7, -9, 5, -6],\n [10, -6, 10, -3, -9],\n [-8, -6, -5, 2, -8],\n [8, 8, 10, 1, 5]]\nB =\n[[7, 3, -1, 6],\n [-1, -4, -1, -1],\n [9, 7, -2, 4],\n [-5, 6, -3, 4],\n [5, -5, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 9, -8, -4],\n [-9, -1, 0, 10],\n [8, 7, 5, 3],\n [-2, -6, 3, -8]]\nB =\n[[-3, 8, 10, 8, 0, 6],\n [7, 9, -6, -4, 0, 0],\n [-9, 1, 9, -4, -8, -9],\n [9, 6, 2, 8, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -1, 0, -4, 6],\n [3, 9, -5, 6, -6],\n [1, -3, 10, -4, -6],\n [-10, -5, 6, 10, 7],\n [-6, -1, 4, 6, 9]]\nB =\n[[6, -8, -4, 9],\n [-10, 3, 9, -3],\n [-9, -4, 1, -10],\n [8, -5, 6, -7],\n [2, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[3, -9, -6, 5, -10],\n [-5, -2, 4, 10, 6],\n [8, 9, -7, -1, -4],\n [0, -7, -4, 2, -2]]\nB =\n[[2, -7, 7, -7, 7, -2],\n [-10, -2, 2, 8, -1, 0],\n [6, 7, 10, 0, -1, -9],\n [-6, 8, -4, -6, 1, 5],\n [-7, 10, 6, -1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 6, -1, -2],\n [5, -6, 10, -1],\n [-8, 10, -9, -2],\n [-10, -7, 6, 0],\n [1, -6, 4, -5]]\nB =\n[[-6, 4, 5, 10, 6, -3],\n [6, -2, 9, -1, -3, -4],\n [-10, -4, -1, -1, 5, 2],\n [9, -1, 6, 6, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-629", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 7, 6, 2],\n [7, 4, 9, 3],\n [-7, 5, 3, 1],\n [-10, 6, 3, -10],\n [-10, 3, 5, 4],\n [-1, -6, 8, -9]]\nB =\n[[10, 10, -8, -2, 5],\n [2, -2, 6, 10, 1],\n [7, 0, 9, -10, 6],\n [10, 6, -8, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -2, 8, 3, 1],\n [-5, 5, 8, 4, 4],\n [-8, 3, 10, 0, 3],\n [1, -1, 6, -5, -1]]\nB =\n[[-2, 3, -10, -2, -4, 7],\n [-3, -2, -5, -5, 9, -2],\n [8, -1, 7, -9, 4, -8],\n [2, 4, 6, -9, -1, -5],\n [-7, -5, 2, -8, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -5, 6, 6],\n [-2, 9, -5, -2],\n [-7, 8, -5, 2],\n [2, 9, 9, -3]]\nB =\n[[7, 8, 9, 10, 3],\n [3, 10, 0, -6, -3],\n [3, -4, 3, -10, 10],\n [-6, -6, -6, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1285", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 0, -8, -1, -7],\n [-4, 7, 9, 4, 4],\n [1, 3, -5, 7, 0],\n [-4, -3, -6, 1, 0],\n [1, 5, 9, -10, 9],\n [0, 10, 1, -1, 4]]\nB =\n[[-3, -9, 3, -9, -10, 2],\n [-4, 6, 5, -7, -10, 3],\n [-4, -10, 1, -8, -9, -4],\n [4, -8, 4, 9, -4, 1],\n [-8, 1, -7, -10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2932", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-10, 9, -9, -5, -1],\n [3, 2, -2, -1, 2],\n [2, -4, 6, -10, 2],\n [5, -3, -7, -2, -10],\n [1, -2, 10, 9, -10]]\nB =\n[[-2, 9, -6, -6],\n [-1, -9, -8, 10],\n [6, 2, -4, -6],\n [7, -2, -5, -9],\n [9, -6, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-2, 10, 5, -3, -8, 4],\n [8, -2, -6, -2, -4, 3],\n [8, 0, -10, 8, -3, 9],\n [5, 9, 6, -9, 9, 8],\n [-7, 10, -9, -1, -9, -10],\n [5, -6, -3, 9, -2, -9]]\nB =\n[[-6, 6, 8, 1, 1],\n [9, -7, -1, 7, -10],\n [9, 3, -4, 10, -9],\n [-8, -3, 6, 1, 7],\n [8, -8, 6, -4, 3],\n [3, -3, 9, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[9, -5, -2, 8, 8],\n [-10, -8, -2, -5, -5],\n [-10, -8, -5, 8, 9],\n [6, -7, -2, -8, -2],\n [1, -10, 6, 9, 0]]\nB =\n[[-1, 3, -6, -5, -1],\n [2, -2, 0, 10, -2],\n [7, -8, -7, 7, 6],\n [2, -10, 3, 9, 1],\n [-9, 10, -9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 0, -6, -8, -7],\n [-4, -4, -6, -9, -7],\n [-5, 1, 9, -4, -5],\n [1, -9, 1, 2, 7],\n [6, 2, -1, -3, 3]]\nB =\n[[0, 3, -7, 9, -7],\n [3, 5, -10, -5, 1],\n [-3, 6, 4, 0, -8],\n [9, 0, -10, -7, -4],\n [8, 9, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 7, -8, 5, 8, 9],\n [10, -6, 1, 5, -10, 4],\n [4, 10, -10, -3, -4, 9],\n [-2, 0, 9, -10, -9, -9]]\nB =\n[[8, -5, -7, -4, 2],\n [1, -10, -4, 9, 9],\n [-8, -9, -8, 2, 8],\n [-6, 9, -5, -1, -3],\n [-10, 7, 9, -9, 3],\n [6, -4, -5, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 0, -8, 4],\n [-10, -10, -1, -1],\n [-6, 8, -5, -8],\n [9, -1, -10, -9],\n [4, -2, -7, -8],\n [-2, -3, -4, 0]]\nB =\n[[4, 8, 10, 2, 2, 2],\n [6, 6, -5, 9, -4, 2],\n [5, 5, -9, 0, 7, 4],\n [-2, -1, -9, 8, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 7, 3, -1, 8, -10],\n [5, 5, 6, 8, -9, -8],\n [-6, -8, 4, -10, -3, 9],\n [-5, 5, -9, -5, -6, -10]]\nB =\n[[2, 3, 6, 10, 0, 0],\n [5, 3, -6, -7, 0, -2],\n [-9, -1, 6, -7, 8, 5],\n [3, -10, -7, 4, 8, 10],\n [4, 2, 9, -4, 3, 9],\n [3, -9, 5, -1, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -5, -10, -6, 0, -3],\n [-2, -3, -8, -10, -10, -4],\n [0, -10, -1, 2, -1, -4],\n [-9, 1, -7, -1, 6, -8],\n [-9, -8, 3, -3, 5, 9]]\nB =\n[[0, -6, 2, -10, 9],\n [2, -9, 2, 5, -10],\n [0, -10, 6, 7, -3],\n [-2, 10, 10, -7, -5],\n [3, 1, 1, 9, 10],\n [-4, 5, 6, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -9, 1, 9, -5, 2],\n [7, 9, -2, 3, 6, -5],\n [3, 6, 6, 10, 3, 8],\n [4, -3, -9, 8, -1, 4],\n [4, 7, 0, 5, 1, -2],\n [-3, 1, 1, 10, 2, 7]]\nB =\n[[-7, -5, 1, 4],\n [1, 8, -10, 10],\n [10, -5, 0, -3],\n [-6, 7, -9, 8],\n [2, 2, -1, -8],\n [9, 4, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -6, -9, -8, 9, -9],\n [9, -1, -8, -9, -1, 5],\n [6, -2, 7, 5, -7, -4],\n [-5, -5, -9, -1, 7, -9],\n [1, 3, 2, -8, -1, -6]]\nB =\n[[-10, 7, 2, -5, 2],\n [9, 6, -4, -1, -2],\n [-8, 4, 0, 2, -6],\n [8, -10, -2, -9, 0],\n [9, -5, 7, -9, -1],\n [7, 6, -10, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -6, 1, 3],\n [6, -8, -2, -10],\n [-6, -9, 8, 0],\n [-1, -3, -3, -10]]\nB =\n[[2, -2, -8, -7],\n [8, -2, 10, 8],\n [7, -8, 8, -9],\n [-7, -8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 6, -3, 2, 10],\n [6, -4, 6, 3, 1],\n [8, 5, -5, -5, 10],\n [2, 6, 10, 3, 1]]\nB =\n[[-3, -5, -8, -1, 8],\n [0, -7, 6, 10, 6],\n [2, 1, -5, -6, 8],\n [4, -7, -2, -3, -8],\n [-8, -1, -10, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 7, -3, -7],\n [-4, -6, 0, 4],\n [9, 9, 6, -6],\n [-6, -2, 3, 10]]\nB =\n[[3, 9, -4, 9, -2],\n [4, 9, 2, 10, 3],\n [7, 3, -9, 7, -1],\n [-2, -5, 10, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -7, 1, 5, -2],\n [8, -10, 2, -8, -6],\n [-7, 2, 7, -2, 9],\n [2, -7, 0, -7, -9]]\nB =\n[[0, 5, -5, -2, -6, -10],\n [7, -5, -1, 10, -2, -9],\n [-8, -3, 0, 4, 4, -1],\n [-2, -3, -1, 8, 2, 5],\n [-10, 10, 0, -9, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 4, 7, -10, 10, 1],\n [-6, 2, 8, -5, -5, 3],\n [-1, 3, 4, -5, 2, -10],\n [-5, -8, 8, 10, 6, 4],\n [2, -5, 5, 8, 0, 7]]\nB =\n[[-7, 0, -3, -8, -9],\n [-7, -10, -1, -10, 2],\n [-4, -3, 5, -1, 10],\n [-8, 1, -6, 4, 9],\n [-4, -1, -7, 8, -10],\n [8, 6, -9, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1987", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -3, 2, -10, -10],\n [-9, 8, 3, 0, -2],\n [5, 5, -4, -9, 4],\n [-7, 9, 9, -8, 10],\n [0, -6, 2, 10, 4]]\nB =\n[[2, 0, -9, -7, 8],\n [-9, -5, 2, 10, -3],\n [4, 6, -4, -5, 10],\n [-9, 5, 6, 7, 5],\n [-1, 5, 5, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -3, -10, 1],\n [-9, -2, -7, 7],\n [10, -2, 1, -5],\n [-10, -1, -1, 0],\n [3, 3, -2, -5],\n [1, -4, 3, 4]]\nB =\n[[5, 2, 3, 5, 8],\n [3, -5, 0, -9, -6],\n [4, -1, -10, -8, 9],\n [-5, 7, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1431", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[10, -2, 0, 9, 0, -8],\n [6, -1, 7, -2, -3, 10],\n [4, 2, -3, 2, -9, -5],\n [-2, 7, -4, 8, 3, -6],\n [-3, 4, 9, 7, 3, -4],\n [-6, -10, -2, 8, 7, -1]]\nB =\n[[-7, 4, 1, 2, -8, -3],\n [4, 1, -7, -1, -2, 0],\n [-10, 10, -10, 5, -2, -9],\n [8, 2, 3, -7, -3, -9],\n [-2, 10, -9, 0, 0, -4],\n [-9, -3, -10, -5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -3, -5, 1, -3],\n [5, -9, 7, -3, -10],\n [3, -10, 0, -4, 3],\n [0, -4, 9, -7, 0],\n [-7, 8, 7, 10, -4]]\nB =\n[[-7, 6, -4, 6],\n [10, -9, -8, -3],\n [8, -3, 7, 4],\n [-10, -3, -2, 2],\n [-9, -1, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -9, 8, -3, -5],\n [1, -4, -7, 2, 3],\n [-4, 4, 6, 2, 7],\n [-3, 10, -6, 10, -9]]\nB =\n[[-1, -1, -4, 4, 6],\n [0, 9, 2, -3, -1],\n [7, 6, -1, -6, 8],\n [-10, 0, -7, 10, -6],\n [-10, 3, 10, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, -2, -6],\n [-10, -3, -3, 3],\n [3, -1, -1, 10],\n [-9, -5, 4, 9],\n [8, -1, -8, -2]]\nB =\n[[-10, 4, 5, -10],\n [7, 1, 7, 0],\n [4, -10, 0, -7],\n [2, 6, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-4, 5, 8, 0, -5],\n [-3, 3, -6, 2, -8],\n [-2, -9, 8, -7, -2],\n [9, 7, -7, -9, 10],\n [7, -3, -4, 7, 9],\n [9, -1, 2, 10, 6]]\nB =\n[[2, -6, -6, -1],\n [-9, 7, 1, 2],\n [6, -3, -4, -3],\n [7, -9, 7, -6],\n [1, 5, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 5, -8, -2, 3, 2],\n [-5, 10, -10, -4, -4, 9],\n [5, 3, -8, 9, 0, 9],\n [6, 6, -6, 3, -6, -5]]\nB =\n[[5, 5, 8, -6, -3],\n [-3, 3, -4, 1, -4],\n [-7, 0, -2, 8, 10],\n [4, -4, -10, 6, 10],\n [5, 6, 7, 5, -7],\n [5, 0, -6, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, 10, 8],\n [-4, 1, 8, 3],\n [10, 7, -7, -8],\n [0, 8, -2, -5]]\nB =\n[[1, 0, 4, -8, -3, 2],\n [-2, -10, -4, -9, -6, -5],\n [6, 8, 4, 10, -4, -1],\n [-1, -4, -9, -6, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-611", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 4, 4, -2, 0],\n [4, 0, 1, -1, 1],\n [-6, 0, -3, -8, 2],\n [10, -2, -2, -1, 1],\n [10, -2, 6, -4, 3],\n [4, 6, 10, -9, 1]]\nB =\n[[-4, 10, 5, -8, 5, 10],\n [8, 5, 9, 8, 4, 8],\n [-4, -9, -7, 4, -1, -8],\n [7, -2, 2, -9, -2, -9],\n [10, 10, -10, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, -4, 0],\n [-10, -1, -4, -4],\n [-2, 5, 1, 0],\n [10, 9, 10, 2]]\nB =\n[[1, 4, 10, 8, 1],\n [4, -3, 2, 8, 0],\n [9, -6, 3, -10, -5],\n [-6, -2, 2, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 4, -10, -7],\n [-8, 4, -10, -1],\n [-4, 5, -6, 8],\n [5, 0, 8, 3]]\nB =\n[[2, -3, 6, -8],\n [3, 4, 9, 1],\n [-10, 5, -4, -9],\n [5, 2, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "611", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 4, -1, 10, 5],\n [-9, -1, -7, 0, -1],\n [2, -10, 2, 1, 1],\n [-7, -1, 3, 6, -3],\n [3, -8, -8, -8, -8],\n [-5, -9, -7, 8, 10]]\nB =\n[[0, -2, -5, 1, 1],\n [-4, -6, -7, 10, 8],\n [-6, 2, 1, 10, 3],\n [9, 1, -2, -10, -1],\n [-4, 8, 7, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 9, -5, 3],\n [-10, 1, -7, -2, 3],\n [0, 4, -3, 9, -1],\n [10, 8, -2, 0, -10],\n [-5, 3, -9, 10, 8],\n [7, -3, -6, -2, 7]]\nB =\n[[3, -3, 7, 0, -8, -6],\n [-8, -7, 3, 4, 0, 0],\n [10, 7, 6, -3, 9, 2],\n [-4, 10, 10, -5, -1, -5],\n [-9, -4, -3, 8, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2337", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -7, -3, 3, -6, 7],\n [-7, -6, 10, 3, -4, 3],\n [5, -2, -9, 5, -6, -8],\n [3, 6, -8, -4, -10, -1],\n [5, 0, 5, 9, 9, -3],\n [4, 10, -2, 7, -9, 8]]\nB =\n[[-10, -2, 3, -3, -8, -8],\n [-4, 8, 6, 8, -10, 5],\n [10, -9, -7, 1, -1, 7],\n [8, -7, -1, -8, 10, -1],\n [9, -2, 4, 6, -5, -4],\n [9, -4, 6, -3, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3167", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 1, 5, -2, -3],\n [1, -9, 1, -3, 10, 3],\n [7, 0, -1, -1, -4, -10],\n [-5, 6, 1, 4, -1, -5],\n [4, 6, 4, 5, 6, 3],\n [9, -9, -1, -7, -9, 0]]\nB =\n[[2, 4, 9, -4, -10, -9],\n [-6, 8, -5, 7, -2, -9],\n [-8, 1, 10, 1, 1, -10],\n [-6, 10, 9, 7, 0, 10],\n [3, -4, 4, 1, -9, -1],\n [2, 10, 1, -6, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -5, 7, -6],\n [4, -2, -7, 7, -7],\n [7, 8, 2, 5, 3],\n [7, 9, 9, -8, -6],\n [-7, 5, 5, -9, 6]]\nB =\n[[-7, 9, 4, 3],\n [-2, 6, 3, 0],\n [3, 3, -3, -1],\n [-4, -6, 0, 9],\n [7, 2, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 6, 5, 6, -1, -8],\n [-2, -3, 3, -2, 6, 7],\n [-4, 6, -7, -9, 7, -4],\n [-6, 9, -8, -1, 8, -8],\n [3, 2, 3, 4, -7, 1],\n [5, -2, 10, 8, -7, 8]]\nB =\n[[0, -8, 0, 10],\n [0, 3, -5, 7],\n [-9, -7, 10, 4],\n [5, 2, -1, -4],\n [0, 5, 3, 9],\n [-8, -4, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2008", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 6, 0, -3, -9],\n [0, 7, 6, -5, -8],\n [2, 2, -3, 10, 0],\n [-6, -2, 8, -3, 1],\n [-4, 0, 6, 6, -8]]\nB =\n[[3, 0, 1, -5, 7],\n [1, 7, -5, 2, 7],\n [-3, 2, 2, 7, 3],\n [5, 2, -1, 0, 1],\n [-7, -7, 8, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1224", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[5, -5, 2, 0, -7],\n [-6, -3, 8, 4, -1],\n [-4, -6, 5, 7, 1],\n [1, 5, 4, -9, -10],\n [-1, -9, 0, -8, 3],\n [-9, 6, 4, 2, -6]]\nB =\n[[10, -3, 7, 10, 9],\n [-10, 9, 5, -4, -6],\n [-10, 0, 9, 5, 1],\n [5, 7, -3, 7, 10],\n [10, -7, -7, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 0, 10, 6, 9],\n [-9, -6, 7, 10, 1],\n [7, -10, -5, -6, -6],\n [-6, 4, 7, 9, 9]]\nB =\n[[0, -2, -2, 4],\n [6, -2, 7, -10],\n [-7, -10, -9, -8],\n [-4, 0, -5, -6],\n [-10, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-982", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 8, -8, 8],\n [1, 7, -8, -2, 9],\n [8, -7, 0, -2, 1],\n [9, -1, 9, -6, 8],\n [1, 0, -3, 10, -6]]\nB =\n[[-5, -10, -5, -7, 0, -7],\n [5, -8, -4, 10, 0, 3],\n [-6, 9, 9, 2, 6, -2],\n [-1, 7, -2, -5, 5, 0],\n [1, 9, 1, -5, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -8, 9, -8, 2],\n [4, -10, 9, 4, -3],\n [2, -4, -1, 3, 1],\n [-8, 4, 3, 3, 0],\n [-3, -5, 7, 10, -3],\n [-6, -4, -7, -5, -4]]\nB =\n[[9, -5, 1, 9],\n [0, 3, 0, 7],\n [4, 9, -5, -2],\n [10, 5, -3, -3],\n [7, -2, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 4, -9, -10, -3],\n [5, 4, 4, -8, -1],\n [3, 10, 6, -10, 3],\n [-6, 1, -4, 3, 9],\n [2, -5, 3, -8, 6],\n [3, 10, -6, -6, 1]]\nB =\n[[6, -8, 9, 6, -4],\n [-5, -6, 7, 10, -7],\n [-7, 4, -8, 10, -1],\n [2, 10, -4, -7, -10],\n [-6, 4, -10, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 3, 3, 10],\n [-2, -9, -3, -10],\n [-1, 9, 9, -1],\n [10, 8, 0, 10],\n [-3, -6, 4, -1]]\nB =\n[[8, -8, 1, 7, 1],\n [-3, 9, 0, -7, -7],\n [1, 4, -10, -2, -5],\n [0, -5, -7, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, 9, -10],\n [0, 5, 3, 10],\n [1, -5, -2, -5],\n [8, -2, 10, 3],\n [9, -4, 9, -10]]\nB =\n[[-1, -2, -5, 8, 0, 0],\n [5, -4, 0, 9, -10, 2],\n [-10, 9, -1, -8, 7, 3],\n [7, 4, -9, 7, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 9, 5, 0, -9, -6],\n [-4, -7, -5, -9, 10, -8],\n [3, 2, -4, -8, -9, -5],\n [0, 4, -10, -9, -1, -6],\n [-2, -7, -10, 3, -5, -6],\n [10, 9, 4, -5, -10, -6]]\nB =\n[[3, -3, -6, 6, -9, -9],\n [-4, 0, 8, -8, 9, 9],\n [9, -2, 0, -8, -8, -5],\n [7, -8, 10, 4, -10, 2],\n [0, 6, -9, 1, -1, -5],\n [-2, -3, -4, -8, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -7, 7, -10],\n [-7, -9, 10, -9],\n [-1, 6, 5, 5],\n [5, 8, -8, -5]]\nB =\n[[2, -8, 4, -3, 0],\n [5, 2, 1, 10, -5],\n [8, 5, -8, 9, -3],\n [8, -1, -7, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[0, -8, 10, 9, -2],\n [-8, -9, -1, 8, -4],\n [8, -6, -8, 2, -6],\n [-9, -3, 3, -3, -9],\n [-6, 4, 4, 7, 2],\n [-8, 6, 10, 2, -5]]\nB =\n[[2, 1, 4, 2, 5, 9],\n [0, -2, -5, 4, 7, -10],\n [-7, -7, -10, -5, 8, -8],\n [10, -10, -3, 2, -2, 9],\n [-2, -2, 5, 9, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 5, 9, -9, 6],\n [-9, -10, -9, 2, 1, -6],\n [8, -5, -8, 4, -10, -3],\n [7, -6, 10, 5, 8, -2]]\nB =\n[[2, 6, -3, 8],\n [-3, -7, -7, -2],\n [1, 8, 4, -10],\n [-9, 10, 6, -9],\n [8, 4, -10, 5],\n [-2, -5, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, -5, -7, 1],\n [-7, -3, -2, 2, 6],\n [3, -10, 4, -5, 1],\n [3, -1, 7, 0, 9],\n [1, -1, 5, -5, 3],\n [-5, 7, 3, 5, 1]]\nB =\n[[8, -1, 7, -6, -9],\n [3, 8, -3, 8, -4],\n [-1, -2, 8, 5, -7],\n [-10, 0, -4, -8, -1],\n [7, -4, 1, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 3, 0, -9, 0],\n [3, 5, -4, -9, -1],\n [-7, 9, -3, -9, -6],\n [-10, 3, 7, 4, -8]]\nB =\n[[-10, -9, -3, 9, -8],\n [-8, 7, -8, 7, -4],\n [-4, -10, 10, -8, 2],\n [-2, 3, 2, -5, -10],\n [4, 8, -7, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -8, 5, 9, -7, 4],\n [-9, 9, 0, -8, -2, 3],\n [-9, -2, -6, 3, -7, 8],\n [10, -8, 6, 9, 7, 1],\n [-7, 10, 1, 0, 8, -6]]\nB =\n[[1, -1, -2, 4],\n [-3, 9, 3, -3],\n [3, 3, 9, -3],\n [1, -8, 4, 6],\n [-8, 9, -5, 9],\n [-6, -5, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1672", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, 4, -9, -8],\n [8, 6, -6, 6, -7],\n [-2, 3, -5, 3, -7],\n [4, -9, -8, 4, 8],\n [0, 4, 8, 1, 8]]\nB =\n[[9, 6, -2, 3, 0],\n [-2, 0, -9, -6, -2],\n [4, -5, 2, 2, -6],\n [10, 3, -7, -2, 8],\n [9, -2, -3, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1805", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 1, -9, -2, 3, 6],\n [3, 0, -9, 8, 9, -9],\n [-8, -9, 5, -2, -4, 2],\n [-3, -2, 5, -7, 9, 4],\n [3, -3, -8, -3, 3, -4],\n [0, -5, -1, -7, -9, 6]]\nB =\n[[-9, -8, 4, 5],\n [-5, -1, -3, -10],\n [3, -9, -7, -6],\n [-6, -5, 9, -1],\n [10, 3, 4, -2],\n [-3, -4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1401", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -10, -6, 1, -9],\n [-3, -1, 1, -10, 10],\n [0, -2, -9, -9, -2],\n [2, 9, 5, -10, 8],\n [9, -4, 8, 6, -5]]\nB =\n[[-7, -3, -6, 0, -9],\n [-2, -3, 2, -3, -1],\n [6, -1, 1, -9, -5],\n [-7, -10, 3, -1, -7],\n [8, -7, 2, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, 0, 0, 6],\n [7, -3, -8, -3, -3],\n [6, -2, 7, -3, -7],\n [10, -2, 7, -2, 0]]\nB =\n[[1, -4, -5, -2, -1, 0],\n [-3, 0, 3, 5, 7, -8],\n [9, 0, -7, -5, 2, -1],\n [6, -8, -4, 7, -4, 0],\n [-7, 4, -3, -5, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -9, -3],\n [2, 8, 1, -2],\n [9, -9, -5, 3],\n [9, 0, -3, 7],\n [-5, -7, 1, 3]]\nB =\n[[4, -10, 8, 8, 6, 7],\n [4, 2, -10, -9, -1, 8],\n [5, -2, -3, -5, -6, 1],\n [-4, -1, -9, -8, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -1, -9, 8, -1, 10],\n [4, -8, -10, -8, 10, -5],\n [1, -1, 7, 4, 9, 10],\n [-1, -4, 2, 6, -1, 8]]\nB =\n[[-1, 8, -5, 5],\n [10, 0, -3, 0],\n [-3, 8, 1, -6],\n [-5, 8, -4, -9],\n [4, 8, -3, -2],\n [-7, -9, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -3, -8, 9, -5, 8],\n [-2, 0, 10, -7, 2, -10],\n [-3, 4, -9, 3, 3, -1],\n [7, -4, -4, 4, -10, -9],\n [4, 8, -1, -8, 2, 2],\n [0, 1, -8, -2, 2, 2]]\nB =\n[[10, 5, -10, 8, -8],\n [-4, -9, 5, -9, 7],\n [9, 8, 10, -9, -2],\n [-4, -5, -10, 4, -9],\n [6, -5, 1, -4, -9],\n [0, 2, 4, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 2, -6, -7, 1],\n [-6, 3, -9, -10, 1],\n [-5, -1, 8, -7, 9],\n [-7, -9, 1, -8, -3]]\nB =\n[[4, -9, -4, 6, -8],\n [-3, 3, -3, 3, 7],\n [6, 2, -9, -3, -8],\n [8, 8, -7, 0, -4],\n [-3, 3, -10, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1546", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 3, 5, 5, 5, 1],\n [-8, -6, -4, 0, 4, -8],\n [6, 1, 6, 4, 7, 10],\n [0, 9, -6, -10, -10, 4],\n [7, 0, -1, -10, 2, -2],\n [-7, -8, -9, -1, -7, -1]]\nB =\n[[-5, 6, 9, 3, -6, -8],\n [-4, -6, -4, -4, 5, -1],\n [10, 5, 8, -1, 9, -7],\n [-6, 7, 2, -10, 5, -8],\n [1, 1, -9, 1, 1, 10],\n [-7, 7, 1, 0, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[3, -10, -10, -3, -7, -1],\n [-9, 1, -6, 2, -6, -5],\n [8, -2, 0, -4, 5, 5],\n [2, -5, 8, -9, 10, -8]]\nB =\n[[0, 2, 0, -1, -6, -4],\n [-6, -2, 6, 8, -3, 4],\n [-6, -8, -3, 3, -3, -1],\n [8, 2, 9, 1, 2, -3],\n [-3, 7, -1, 0, -4, -5],\n [7, 10, 5, 7, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -5, 10, 5],\n [1, -6, 3, 7],\n [-5, -10, 10, -5],\n [-8, 4, 8, 7],\n [-2, -8, -4, 9],\n [9, -1, 6, 1]]\nB =\n[[5, 10, -3, 3],\n [10, -5, 5, -2],\n [-9, 5, -3, 4],\n [2, -6, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-433", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -8, -7],\n [3, -7, 6, 10],\n [-7, -5, 0, -3],\n [9, 4, 9, 5]]\nB =\n[[8, 9, -1, 3, 4],\n [2, -10, 2, 9, 7],\n [2, 1, 2, 2, 0],\n [-4, 7, -6, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, 5, -6, 0, -9],\n [-1, 10, 9, 8, 5, -3],\n [10, 5, 6, 7, -10, -8],\n [-7, 0, -5, -4, 6, 6],\n [-1, 4, 6, -1, 4, -7]]\nB =\n[[8, 8, 1, -1],\n [-10, -6, 5, -5],\n [-10, -8, -2, 6],\n [10, 6, 6, -6],\n [10, 5, 1, 0],\n [9, -1, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 8, 1, 5, 10],\n [-7, 6, -4, -10, -10],\n [-5, 8, 6, 7, 1],\n [-9, -8, 1, -7, -5],\n [-2, -5, 9, 5, -4],\n [-5, 0, 2, 4, 8]]\nB =\n[[8, 4, 0, 6, 8, -8],\n [-8, -4, 5, -10, 4, 6],\n [5, 10, -1, 5, -10, -2],\n [-3, 0, 7, 9, -5, -5],\n [5, 10, -9, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2324", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -5, 3, -7, 7, 0],\n [-10, 10, 7, -2, -6, -5],\n [-3, 5, -1, 3, -3, 1],\n [-3, -7, -9, 0, 4, 10],\n [-2, 4, 1, 3, 7, 7]]\nB =\n[[-9, -9, -5, -2, -10],\n [6, -1, -9, -2, -1],\n [10, 1, 0, 9, 1],\n [-10, 10, -9, 4, 6],\n [10, 5, 8, 9, 3],\n [10, -6, 10, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -10, 10, -1],\n [5, 2, -3, -8],\n [6, -10, -1, 2],\n [-6, 5, -9, -3],\n [9, 8, 1, -4],\n [0, -10, -2, 6]]\nB =\n[[-1, -8, 3, -9, 3, 5],\n [4, 5, -8, -1, 9, 10],\n [8, 1, 3, 1, -9, 1],\n [0, 4, 2, -8, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-6, -9, -10, -1, 4, -2],\n [3, 5, -1, -3, 0, 3],\n [2, -5, 7, 1, 4, -5],\n [5, -2, -7, 1, -3, -2],\n [7, 3, -6, 7, -8, -10],\n [7, 8, 1, 10, 1, -7]]\nB =\n[[2, 8, -3, 10],\n [4, 3, 8, 6],\n [-2, 7, -10, 6],\n [10, -5, 9, -5],\n [-6, -4, -4, -5],\n [10, -5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -7, 9, 10, 2, 4],\n [1, 0, 7, 6, -4, -6],\n [-9, -6, 0, 7, -7, 8],\n [7, -5, 4, 4, 7, -1],\n [-7, 4, 7, 3, 3, -10]]\nB =\n[[2, -1, 8, 10, 8],\n [-1, 1, 8, -3, 8],\n [1, -6, 4, 7, 9],\n [5, 3, -3, -9, -9],\n [3, 2, 10, 9, 2],\n [3, -6, 2, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[10, 0, -6, 10],\n [-10, 6, 6, 9],\n [9, -2, 2, -8],\n [2, 6, -9, 5],\n [3, 10, 1, 2],\n [-2, -6, 4, 5]]\nB =\n[[8, -1, 2, -3, -10, -6],\n [6, -1, 5, 3, 3, 10],\n [8, -4, -8, 1, 0, -9],\n [9, 1, 4, 10, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, 8, -6, 6],\n [7, -1, 3, -5, 5],\n [-5, 6, -9, -10, -2],\n [-8, 6, -8, -1, 4],\n [3, -2, 0, 8, 9]]\nB =\n[[-9, -6, 10, -1, 8, -2],\n [6, -4, 7, -4, -9, -10],\n [4, 6, 7, 9, 1, -5],\n [8, 2, -10, -9, -6, 1],\n [-10, 4, -3, -6, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-662", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, -3, -1, -2],\n [-9, -9, -6, 6, 2],\n [-6, 2, 9, 6, -4],\n [9, 0, 5, -2, -2],\n [-10, -6, 5, -1, 8],\n [2, 3, -2, -10, -6]]\nB =\n[[4, 0, 1, 2, -5],\n [8, -3, -4, 2, 10],\n [-4, 4, 10, 2, -3],\n [9, -10, -5, 7, -6],\n [-8, 0, -9, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, 8, -3, 6, 1, -7],\n [8, 8, 9, 0, -8, -7],\n [-9, 4, -4, 6, -1, -2],\n [-6, 8, 6, 2, -2, -6]]\nB =\n[[6, -5, 8, -4],\n [6, -1, -4, -3],\n [-5, -3, -10, 8],\n [0, 2, 10, -8],\n [-10, -6, -9, 1],\n [-3, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 7, -6, -1, 0],\n [10, -10, -10, 6, 8],\n [0, -10, -9, 0, 3],\n [7, -5, 3, 0, 4],\n [7, 7, 6, -5, 4]]\nB =\n[[10, 7, 4, -3, -8],\n [-5, -6, 10, -8, -4],\n [-3, -3, -6, 10, 2],\n [-2, 9, -4, 6, -9],\n [1, 10, 6, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1829", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -2, 2, -3, -7],\n [-3, 4, 5, 10, -8],\n [0, -4, 9, -8, 1],\n [8, 5, -3, 2, -10],\n [6, 6, -6, 4, 8],\n [-4, -2, -2, 8, 0]]\nB =\n[[-9, -7, -3, 4, 0],\n [7, -8, -10, 6, 5],\n [-1, 5, -4, 3, 7],\n [5, -8, 6, -7, -4],\n [-5, -7, -7, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2022", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 10, -6, 4],\n [-9, -3, 10, -2, 0],\n [-7, 9, 6, -8, 1],\n [-8, 2, 3, 4, 3],\n [-5, -7, 2, -9, 5]]\nB =\n[[-6, -4, 0, 4],\n [2, -8, -8, 4],\n [-1, -2, -6, 9],\n [2, 4, -7, -10],\n [-10, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -6, 3, -1],\n [2, -10, -10, -5],\n [9, 9, -2, 8],\n [-5, 5, 8, -1],\n [0, 7, -1, 1],\n [10, -10, -7, -2]]\nB =\n[[5, 1, 9, -1, 6, 5],\n [8, -2, -7, 1, 4, 1],\n [-1, 4, 8, 5, -4, -3],\n [-1, -5, -4, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1448", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, -5, 7, 0],\n [0, 5, -6, 10],\n [-9, -3, 4, 7],\n [5, -1, -10, -5],\n [2, 2, 7, -7]]\nB =\n[[8, 6, -9, -8, -3],\n [-1, 8, -1, -6, 6],\n [-6, 0, -7, -4, 5],\n [5, 2, -6, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 9, 10, -9, -6],\n [7, -3, -3, 6, 3],\n [-2, 3, 2, -6, 8],\n [2, 1, 0, 0, -9],\n [4, -7, 0, 9, -8],\n [1, 0, 1, -7, 3]]\nB =\n[[-8, -10, -5, -9, -4],\n [-10, 3, 9, 6, 5],\n [-2, 9, 5, 2, 8],\n [5, -1, 4, -5, -10],\n [7, 0, 7, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, -6, 6],\n [-5, 1, 9, 10],\n [-8, -8, -3, 2],\n [-2, 5, 8, 7]]\nB =\n[[3, 7, 1, -3, 8],\n [-4, -6, 5, 5, 1],\n [-5, 9, -8, 9, -8],\n [2, 4, 7, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 3, 6, -4],\n [2, 5, 2, 9],\n [4, -1, -6, 2],\n [-10, 6, 5, 5]]\nB =\n[[-7, 9, -5, 5, -2, 6],\n [10, 10, 7, 0, -9, -3],\n [-10, -10, 1, -9, -7, -6],\n [7, 4, 9, 3, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, -3, 4],\n [-7, 6, 8, -7],\n [8, 7, 2, -10],\n [-9, 9, 9, -1]]\nB =\n[[2, -5, -6, -10, 0, 6],\n [10, -8, 7, 6, -5, -4],\n [0, -2, 7, -4, -8, 7],\n [8, -8, 0, 4, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-4, 7, -9, -3],\n [9, 9, 3, -4],\n [9, 9, -10, 8],\n [7, 6, 4, 0],\n [7, 5, 5, -4],\n [-10, -5, 2, 3]]\nB =\n[[1, -8, 2, 2, 2, -7],\n [10, 4, 10, -5, -2, -4],\n [8, 9, 3, -7, 7, 3],\n [1, 8, 2, -10, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[7, 2, 5, -9, 1],\n [-2, 1, 5, -8, 7],\n [-10, 9, 7, -3, 1],\n [1, -10, -9, 3, 2],\n [-9, -10, -7, -1, -6]]\nB =\n[[4, 10, 1, 0],\n [10, -9, -6, 9],\n [6, 5, -8, -3],\n [1, 10, -1, 8],\n [5, 2, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -1, -2],\n [8, -7, 5, 7],\n [0, 9, -5, 3],\n [6, 2, 4, 3]]\nB =\n[[7, -1, 10, -6],\n [6, 1, -1, 0],\n [0, 4, 1, -2],\n [-3, 8, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -5, 5, -3],\n [-5, 3, -2, 1],\n [6, -1, -7, 4],\n [6, -5, 7, -7],\n [-5, 5, 6, 4],\n [-10, -8, -2, -8]]\nB =\n[[10, 8, 7, 7, -2, -4],\n [5, -4, 4, -6, 9, -5],\n [-10, -8, 3, 3, -5, -5],\n [-5, -6, 10, 7, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2032", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 0, -6, -1, -8, -4],\n [-2, 2, 6, -2, -6, 8],\n [2, 8, 9, -10, -8, -2],\n [-9, 5, -5, -2, -10, 5],\n [8, 8, -2, 7, 5, 10],\n [4, 2, -3, -6, 0, 1]]\nB =\n[[5, 4, 2, 10, 1, -8],\n [2, 6, -9, -1, -6, -8],\n [-8, -2, 5, -9, -4, -9],\n [-7, -3, -2, -7, -1, 6],\n [4, -8, -7, -1, 6, -4],\n [-10, -2, 3, 9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -3, 9, 4],\n [-7, 9, 8, 3, -8],\n [0, -6, 2, 4, 5],\n [7, -6, 1, 9, -3]]\nB =\n[[-5, 2, -10, 4],\n [5, 8, 0, -10],\n [3, -6, 9, -1],\n [1, -3, -4, -7],\n [6, 8, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -2, -9, -1, 9, -8],\n [1, 7, -10, -8, 0, 1],\n [-2, -8, -2, 8, 10, -1],\n [6, 3, -9, 4, 2, 8]]\nB =\n[[4, -1, 10, -3],\n [9, 6, 2, -5],\n [-3, 5, -2, 9],\n [3, -4, -1, -9],\n [8, -10, -6, 1],\n [1, -6, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 2, 1, 0, 9, 0],\n [-3, -3, 0, 7, 5, -1],\n [4, -9, -10, 6, 6, 0],\n [-2, 9, 4, -9, 4, -8]]\nB =\n[[-5, 2, -3, -2, 1],\n [2, 5, -2, -6, 3],\n [-2, 10, -2, -2, -4],\n [9, 0, 1, -2, -5],\n [8, 1, -6, 1, -8],\n [-1, -5, -1, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-4, 8, -8, -8],\n [-4, -3, 1, -6],\n [0, -2, 3, 5],\n [-3, -5, -4, 10],\n [-8, 9, -5, -1]]\nB =\n[[5, 8, -3, 10, 7, -8],\n [-7, -10, -10, -5, -5, 4],\n [-2, 9, 7, -5, -1, -6],\n [1, 1, -2, -8, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 1, 5, 0, -2],\n [4, 3, 2, 1, 4],\n [-8, -1, 1, -3, -9],\n [-3, 3, 2, 2, 8],\n [-8, -7, 1, -9, -5],\n [6, -1, -7, -2, 5]]\nB =\n[[-2, 2, 5, -10, 6, 10],\n [-7, 10, -2, 7, -4, 7],\n [1, 4, 1, -10, -9, -9],\n [2, -4, -1, 8, -9, -4],\n [-5, -7, -10, -5, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 5, -5, 1],\n [-8, 8, -4, -6],\n [5, -6, -4, -3],\n [8, 0, 6, -2],\n [5, -2, -2, -3],\n [-6, -8, 4, -5]]\nB =\n[[-8, -7, 8, 10, -1, -9],\n [-6, 7, 9, -6, 5, 3],\n [-4, 7, -10, -5, -9, -3],\n [-2, -9, -4, -5, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -6, 6, -3, -4],\n [-1, -1, -2, 7, -7],\n [-8, -10, -8, -7, 4],\n [-9, -9, 0, 10, 5],\n [10, 6, 1, -7, 4],\n [10, 5, 9, -3, 1]]\nB =\n[[10, -8, -9, 8],\n [9, -1, 6, 10],\n [-4, 7, -6, 3],\n [4, 4, -2, 1],\n [-1, -8, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -5, -10, 3, 9, 3],\n [-4, -9, 0, -6, -10, 7],\n [-10, 7, 0, -10, 8, -9],\n [-6, 1, -3, 9, 0, -4],\n [4, -3, -6, -2, 7, 8]]\nB =\n[[-8, 0, 5, -6, -10, -8],\n [10, -2, 10, 6, -2, -2],\n [4, -2, -2, -7, 0, -8],\n [-6, 7, -1, -7, -1, 10],\n [10, -4, -1, -10, 10, -4],\n [-4, -8, 7, -5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[10, -2, -5, -5],\n [10, 2, -4, -10],\n [2, 7, -5, 10],\n [9, 8, -4, 7],\n [4, -3, -5, -10]]\nB =\n[[10, 9, 9, 1, -8, -10],\n [1, 10, 10, 0, -6, -4],\n [5, 3, 3, -1, 6, -7],\n [-1, 10, -5, 6, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, 10, 9, -5],\n [2, -1, -8, 5, 6],\n [5, -9, 3, -5, 4],\n [7, -5, 6, 4, 5],\n [-3, -3, -3, -6, 5],\n [-2, -8, -4, 4, -1]]\nB =\n[[0, -6, -2, 7],\n [-1, 5, 5, 1],\n [-4, -5, 0, -4],\n [1, -10, -2, -2],\n [-1, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-614", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -5, -5, -1, -7, 10],\n [7, 6, 1, -3, -10, -8],\n [-4, -5, -2, -7, -7, -5],\n [10, 8, -10, 10, 5, -1],\n [-8, 4, 6, 8, -2, 3],\n [8, -4, 7, 8, -5, 6]]\nB =\n[[1, 10, 8, 2, 0],\n [-5, 10, 8, 10, -8],\n [-6, -4, 1, -4, -9],\n [10, 0, 6, -8, -6],\n [-2, -7, 2, -3, 0],\n [6, -2, -4, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, -7, 2, -7, -4],\n [-4, -7, -9, -5, 10, -4],\n [-1, 8, -1, -9, -9, -7],\n [6, -5, 1, 10, 9, 4],\n [3, 7, -6, -1, -10, 2],\n [8, -2, 3, 0, -6, 5]]\nB =\n[[-2, -8, -9, 9, 2, -9],\n [-8, 10, -6, 0, -1, -2],\n [-8, -4, 2, -9, -1, 5],\n [-6, -2, -7, 5, -1, 7],\n [-8, -2, -10, 5, -2, 0],\n [-2, -2, -6, 8, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, -5, -2],\n [5, -10, 5, 9],\n [9, -10, -6, -5],\n [9, 10, -4, -10],\n [-6, 2, 1, 2],\n [8, -10, -1, 2]]\nB =\n[[2, -6, -5, 10],\n [1, 5, 3, 0],\n [-1, -3, -7, -7],\n [-8, 7, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -6, 8, -8, 3, -10],\n [-9, -8, -9, 6, -6, -7],\n [-1, 1, -8, 7, 10, 5],\n [-5, 3, 2, 2, 2, -3]]\nB =\n[[-4, 9, 7, 1, 2],\n [0, -1, -3, 10, -2],\n [4, 0, 6, -2, 2],\n [3, -9, -7, 2, -3],\n [6, 8, 2, 6, 8],\n [8, 8, 1, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-433", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -4, -2, -5, -1],\n [10, 8, -9, 2, 10, -4],\n [-2, -1, 0, -2, -6, 9],\n [4, 3, -1, 7, -4, 3],\n [8, 3, 4, 1, -7, 9]]\nB =\n[[8, 9, 8, 0],\n [6, 5, -8, 0],\n [-9, 3, 1, 8],\n [-1, 7, 6, -2],\n [10, 7, -10, -6],\n [1, -10, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 7, 10, 8, -10],\n [7, -3, 4, 0, -3],\n [7, 9, 7, -9, -9],\n [6, 4, -7, -6, 8]]\nB =\n[[8, 9, -5, -4, -6],\n [-8, -10, 6, 9, -2],\n [-5, -4, -2, 4, -4],\n [-8, -10, -9, 2, -7],\n [-2, 10, 6, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2031", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 5, 1, 7],\n [-6, 1, -8, -3],\n [-9, 8, -10, 8],\n [-3, 0, -7, -5]]\nB =\n[[-5, -5, -5, 10],\n [-10, 2, 2, 6],\n [-9, -5, -4, 4],\n [-6, -5, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, 6, -5, -8, -10],\n [-2, 5, 4, -8, -1, 0],\n [-4, 2, 6, 0, -1, 5],\n [-6, -4, 9, -7, -8, 1],\n [-3, 3, -4, 7, -2, 5]]\nB =\n[[3, 7, 2, 7, 0],\n [-2, -9, 3, 9, -7],\n [10, 0, -10, -3, 10],\n [9, 8, 8, 9, 4],\n [3, -8, -2, -1, 8],\n [-4, 7, 8, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -8, 7, 0],\n [-2, -8, -5, -5],\n [4, 5, 10, 2],\n [-7, 5, 2, 1],\n [-10, 2, 0, -8]]\nB =\n[[-9, -7, -9, 6, -5],\n [-5, -9, 1, 3, 8],\n [4, -5, 7, 10, -9],\n [8, 7, 5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-7, 10, 1, 1],\n [3, -10, 10, -10],\n [-9, 3, 2, -8],\n [-10, 10, 9, 8]]\nB =\n[[-5, -6, 8, -4, 8, 10],\n [-6, 0, -3, 10, -10, -9],\n [8, -8, 10, -10, 0, 5],\n [0, 4, -4, 6, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -2, 8, 1, 8],\n [6, -1, 2, 5, 6],\n [-4, 4, -1, -3, 6],\n [3, 10, 7, -5, -5],\n [10, -10, 0, -8, 9]]\nB =\n[[-6, -2, 4, 5, -8],\n [1, 5, -3, 8, 9],\n [5, 1, 3, -7, -8],\n [-9, -8, -4, 7, -3],\n [-5, -4, -1, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-395", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 6, 2, 2],\n [6, 5, -7, 2],\n [-6, -4, 3, -2],\n [-2, -4, -9, 5]]\nB =\n[[-5, -7, 0, -3, 7, 7],\n [-6, 9, 1, -7, -5, -6],\n [6, 9, 8, 1, 9, -7],\n [6, -5, 2, 5, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, 4, 2, 2],\n [1, -2, 3, 1, -1],\n [1, 5, -1, 0, 7],\n [-2, -10, 5, 7, 1],\n [6, 4, -1, -7, 9]]\nB =\n[[3, 8, 8, 5],\n [3, 6, -10, 4],\n [-1, 7, -6, -2],\n [7, -3, 1, 3],\n [-1, -7, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 9, -6, -2, -3],\n [-1, 1, -5, -8, 7],\n [8, 10, -9, -10, 2],\n [0, 6, 1, 2, -5],\n [-6, -5, 7, 5, 3]]\nB =\n[[-6, -2, 4, -10, 5],\n [6, 0, -5, -10, 4],\n [-1, -3, 4, -2, -4],\n [2, 3, 8, -4, 5],\n [-8, 4, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-309", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-3, 9, 9, -10, 4],\n [5, -2, 8, -6, 3],\n [5, -10, 10, -7, -8],\n [10, 2, -6, -1, 1],\n [0, -4, 10, 2, 2]]\nB =\n[[-3, -6, 2, 0],\n [-2, -3, 2, 1],\n [1, -8, 7, 5],\n [-6, 8, 8, -8],\n [8, 2, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, -6, 4, 8],\n [-5, -7, 10, 3, -6],\n [6, 3, 8, -5, -8],\n [-2, 1, -10, 3, 0],\n [-9, 1, -7, 10, -5]]\nB =\n[[3, 0, -3, -4],\n [-9, 2, -6, -1],\n [0, -1, 5, -2],\n [-7, 7, 4, 5],\n [-1, 0, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-8, -2, 10, 10],\n [-10, -4, 10, 1],\n [3, -1, 5, 8],\n [-1, 1, -10, -3],\n [5, -2, -6, -5]]\nB =\n[[0, 2, -2, 4, 1, -7],\n [6, 9, 10, 6, -9, -8],\n [4, 1, 2, -3, 5, -5],\n [-9, -2, -4, 8, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[0, 1, -2, -6, -9, 6],\n [10, -5, -10, 4, 6, 8],\n [-7, 1, -4, 2, 7, -8],\n [-10, -1, -1, 5, -2, 8]]\nB =\n[[-8, -6, -7, 0, 9],\n [-7, 7, 7, -6, -4],\n [9, -7, -2, 9, 9],\n [6, -2, -7, -9, -5],\n [8, -10, 3, -1, 3],\n [-2, 10, -10, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 7, 10, -5, 4],\n [-4, -10, 10, -1, 7],\n [-7, -5, 9, -5, -2],\n [-8, 10, 10, -3, 2],\n [-8, 4, 8, 1, -4],\n [-7, 10, 7, -7, -6]]\nB =\n[[8, 1, -6, 5],\n [8, -2, 10, -2],\n [9, -3, -1, 10],\n [-8, -5, 0, -8],\n [-5, 2, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -10, -1, 1, -4],\n [-1, -7, -8, 10, -6],\n [6, 4, -10, 1, 8],\n [10, -3, 10, 7, 9],\n [0, 5, -6, -4, 2]]\nB =\n[[-4, -3, 5, -2, 7, -7],\n [-5, -6, -4, 10, -2, -9],\n [5, -10, 2, 1, 1, 8],\n [-1, 3, -8, 8, 9, 5],\n [-3, 0, -8, 0, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -5, -8, -10],\n [-10, -9, -2, 8],\n [-10, 6, -6, 0],\n [8, 6, 7, 4],\n [9, 4, 4, 0],\n [6, 10, -6, -8]]\nB =\n[[2, -10, 4, 1, 1, -8],\n [0, -5, 5, -7, -1, 7],\n [-1, -8, 9, 6, 6, 1],\n [3, -9, -10, -1, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -9, -8, -1, 1, -7],\n [-9, 5, -7, -4, -5, -8],\n [-4, -2, 4, -3, -5, 1],\n [1, 3, -10, 0, -6, -7],\n [8, -9, -8, -3, 1, -8]]\nB =\n[[-2, -6, 1, 8, 4],\n [-9, 10, 4, -5, -4],\n [-2, -7, -10, -10, -4],\n [0, -7, -2, 1, -4],\n [-9, 5, -9, 3, -2],\n [-2, -9, -3, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -9, -1, 9, 9, -2],\n [2, 7, -9, -5, -6, 7],\n [5, 1, -2, 5, 8, 3],\n [-10, 0, -7, 4, -5, -8]]\nB =\n[[-8, 5, -3, 8, 2, 6],\n [6, -5, -10, 5, 10, 4],\n [0, 6, 5, 3, 10, 4],\n [5, 5, 3, -4, -1, 1],\n [5, 9, 3, -3, -5, -10],\n [-8, 5, -9, -8, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1887", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 2, -2, -5, 2, 9],\n [5, 2, 2, 8, -6, 5],\n [-3, 9, -9, 4, -3, 3],\n [5, -2, 7, -8, 9, 2]]\nB =\n[[9, 0, -7, 9],\n [-6, -2, -4, 8],\n [-1, 7, 4, 8],\n [-1, -1, -10, -7],\n [-9, 0, 2, 8],\n [-6, 3, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 1, -7, -5, 5, -4],\n [0, 8, 4, -2, 3, -10],\n [7, -1, 5, -9, 0, 10],\n [5, 2, -6, -5, 1, 7],\n [-9, 9, 2, -7, 1, -8],\n [6, 7, -1, 5, 6, -2]]\nB =\n[[-7, 1, -6, 9, -4, -5],\n [-7, -10, 4, 9, 5, 4],\n [-1, 0, -4, -7, -9, -1],\n [8, -4, 5, -6, 5, 7],\n [4, 4, -9, 2, 9, -10],\n [-5, 6, 3, 7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 6, -10, -2, 2, 4],\n [3, -2, 6, 10, -2, -1],\n [-3, 6, -10, -9, -3, 6],\n [0, -3, -5, -1, 6, -4],\n [0, 0, -1, -9, -2, 1]]\nB =\n[[6, 0, 9, -1],\n [4, -2, -1, -3],\n [7, 7, -5, 6],\n [-5, 1, 1, -3],\n [-3, 3, -8, 3],\n [-3, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 5, -1, -5, 9, 0],\n [5, -1, 0, -5, -7, 4],\n [-1, -7, 3, -9, 0, 3],\n [-9, -7, -2, 10, 6, -1],\n [2, 8, 4, 8, -8, 2]]\nB =\n[[-1, 0, 5, 4],\n [-8, 5, 2, 4],\n [8, 4, 10, -10],\n [-6, -6, 8, 0],\n [6, -4, -7, 1],\n [-4, -1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -3, 8, 8, 7, 7],\n [1, -5, -6, 6, -5, 3],\n [-4, 4, -3, 9, -6, -4],\n [-5, -7, 2, 3, -5, -10],\n [4, -8, 8, -1, 5, -7]]\nB =\n[[9, 9, -1, -7, 0],\n [-2, -6, 1, -5, 5],\n [3, -3, 0, -4, -5],\n [-10, 6, -9, 2, 3],\n [3, 10, -8, 2, -5],\n [1, 10, -10, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, -8, 2],\n [10, -9, 8, 0],\n [1, 10, -10, -10],\n [9, 1, -1, 1]]\nB =\n[[-9, 3, -2, 8, 4],\n [-8, 0, -6, -5, 0],\n [-1, 3, 6, 3, 9],\n [-9, -2, 2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, 3, -9, 0],\n [10, -2, -8, 10, 3],\n [9, -8, -1, -8, 5],\n [0, 4, 9, -4, 4],\n [-6, -2, -8, 4, 1],\n [1, 6, -4, -5, 2]]\nB =\n[[-1, -2, -8, 4],\n [2, -4, 5, 10],\n [-8, 10, 4, -6],\n [7, 5, -5, -1],\n [3, 2, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 3, 9, 6, -1],\n [5, 8, 4, -10, 10],\n [-3, -7, 5, -6, 7],\n [-8, -2, 5, 2, 1],\n [-10, -4, 4, -7, -5]]\nB =\n[[-9, -4, 10, 10],\n [-2, 6, -4, -9],\n [6, -4, 8, 8],\n [-4, -10, -4, 2],\n [2, 8, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "682", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 2, 2, -6],\n [7, -6, 1, 5],\n [2, -6, -9, 6],\n [6, -6, 5, 2],\n [-4, -5, -5, 8]]\nB =\n[[4, 0, -4, -2],\n [-1, 6, -5, 3],\n [-10, -1, -10, 8],\n [2, 7, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -7, 5, 2, 2, 5],\n [-3, 2, -4, 5, 5, 6],\n [2, 0, 6, -10, 5, -5],\n [10, -10, 10, 0, 4, -9]]\nB =\n[[4, 0, 6, 5],\n [7, 10, 0, -10],\n [-5, -7, -1, 6],\n [-4, -8, -6, -2],\n [-4, -1, 5, -3],\n [-4, 6, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-7, -8, 1, 8, -3],\n [6, -2, -3, -3, -8],\n [7, -8, -9, -9, 4],\n [-7, 5, -2, 3, -7],\n [7, -5, 2, -9, -7],\n [6, -4, 1, -9, 9]]\nB =\n[[-2, 5, 3, -2, -9],\n [3, -8, -5, 2, 1],\n [3, 0, 9, 1, -8],\n [1, -10, -6, 0, 1],\n [-2, 8, 4, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, 0, 3, 1, 6, -5],\n [-7, -8, 9, -2, 10, -10],\n [-1, 0, -2, -7, 1, -3],\n [6, -10, 8, 5, -2, -2]]\nB =\n[[4, -3, -7, 5],\n [-3, -4, -1, 5],\n [7, -2, -9, 10],\n [-10, -10, -10, 8],\n [-2, -4, 6, -8],\n [8, 6, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -7, -3, 2, -8],\n [8, 7, 6, 7, 3],\n [-4, -6, -5, 9, 9],\n [-7, -10, -2, -10, -1]]\nB =\n[[4, 0, 6, 2],\n [4, -2, -6, -10],\n [-4, -1, -10, 3],\n [0, -1, -10, -7],\n [-10, -2, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[1, -8, -6, 3, -8],\n [8, 9, 10, 6, -2],\n [2, 9, -6, 9, -8],\n [3, -2, 0, 2, 1],\n [-3, -8, -1, 2, -5],\n [-9, -1, 0, 4, 5]]\nB =\n[[-9, 9, 7, -6, -9],\n [3, 10, 9, -8, -8],\n [10, 10, -6, 0, -1],\n [6, 7, -3, 4, -8],\n [-6, 2, -8, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 1, -2, 9, -8, 4],\n [9, 3, 8, 4, 10, 2],\n [-2, -8, 0, 9, 5, -8],\n [-2, -9, -5, 0, -9, -3],\n [2, 5, 9, 1, 9, -2],\n [-3, 0, -6, -4, 9, -5]]\nB =\n[[-5, -10, -4, -3, 5],\n [-1, 7, -7, 9, 8],\n [0, -3, 9, 5, 10],\n [7, 8, 8, -6, 5],\n [4, 1, 3, 3, 10],\n [3, -4, -2, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[6, 6, -3, -6, 10, 1],\n [4, 3, -7, 2, -8, 9],\n [6, -9, -8, -1, -8, -3],\n [8, 7, -10, -8, -10, -4]]\nB =\n[[-8, -2, -3, 7, 1],\n [-7, 8, 7, 8, 3],\n [1, -1, -8, 1, -8],\n [-7, -6, 10, 3, 6],\n [6, 7, 9, -6, 5],\n [4, -2, -1, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, -10, -1],\n [0, 8, 1, -7],\n [7, 10, 8, -8],\n [5, 9, -6, -10],\n [10, -9, 0, -5],\n [5, 4, 8, -9]]\nB =\n[[-4, -2, 3, -8],\n [-10, 5, -1, -2],\n [4, 7, 4, 6],\n [-1, 6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 0, -7, -4],\n [-6, 6, 2, 7],\n [9, -2, -9, 5],\n [-2, -10, 1, 8],\n [5, 4, 5, 7]]\nB =\n[[-4, -5, 7, 0, 6],\n [7, -5, -8, 0, -5],\n [-2, 10, -9, -10, -3],\n [2, -6, 7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1619", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 10, 6, -4],\n [-2, 8, -10, 4],\n [8, -4, 2, -2],\n [-9, 7, 9, -1]]\nB =\n[[7, -1, 0, 9],\n [9, -7, 7, 3],\n [8, 3, -9, 2],\n [-5, 2, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1054", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-7, -9, 8, -7, 1],\n [-9, -4, -9, -1, 5],\n [-10, -9, 6, 2, 8],\n [2, -10, -7, -8, 5]]\nB =\n[[-1, -5, 0, -3],\n [-6, -7, 7, 10],\n [-2, -10, -9, -5],\n [7, -2, -4, 5],\n [-6, 8, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -9, -10, 2, -4],\n [0, 4, 6, 4, -2],\n [3, 4, -6, -9, 7],\n [5, 1, 3, 2, 10],\n [-2, 0, -8, 6, -1],\n [5, -3, -10, -3, -5]]\nB =\n[[10, 2, -6, -10, -8],\n [0, 1, -3, -1, 2],\n [9, 6, -4, -9, 9],\n [-1, -9, 9, 2, -1],\n [-7, 3, -3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, 3, -8, 3, -6],\n [-5, -10, -1, 4, -3, 8],\n [8, -9, -8, 5, -5, -4],\n [-7, -7, 4, 2, -5, -9],\n [-9, 6, -10, 1, 2, 4]]\nB =\n[[-9, 5, -10, 3, 7],\n [7, 4, -2, -3, -8],\n [3, 0, 7, 4, -2],\n [10, -2, 10, 7, 7],\n [-1, 8, -1, 4, -10],\n [4, 7, -10, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -2, 8, 3, 6, 6],\n [3, 4, -9, -4, 1, 4],\n [-5, -4, -6, -5, -5, 4],\n [4, 2, 9, -9, -1, 3],\n [-7, 9, 3, -4, 4, -7],\n [8, -2, -9, -7, 10, -7]]\nB =\n[[6, -4, -7, -4, -10],\n [-6, -4, 9, -7, 8],\n [8, 9, 8, -10, 9],\n [10, 1, -10, 4, 9],\n [-4, 7, -2, -2, -7],\n [3, 6, -2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 4, -9, 4],\n [-1, -5, 8, 8],\n [-6, -9, -8, -7],\n [10, 0, 6, 7]]\nB =\n[[-9, 8, -9, 1, 1],\n [1, 9, 0, -2, 1],\n [-3, 8, 4, 6, 8],\n [-5, -9, -7, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, 5, -2, -8, 6],\n [-5, 0, -9, -8, -4, -9],\n [-5, -2, -2, 0, 10, -1],\n [3, -10, 1, 2, 6, -3],\n [4, 3, -7, -10, -6, 7]]\nB =\n[[-6, -9, -5, 10, 4],\n [2, -4, -9, -3, 10],\n [1, 0, -5, 4, 0],\n [6, -2, -8, 2, 5],\n [-9, 8, -6, 10, -4],\n [-3, -2, -2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-10, 3, -7, -10, -6, -3],\n [4, 1, 7, -9, -9, 5],\n [-9, 3, -10, 10, 10, 4],\n [0, 4, 6, 3, 0, 4],\n [8, 3, 10, 10, -8, 0]]\nB =\n[[-3, 2, 10, -4],\n [4, -4, -6, 10],\n [7, 7, -6, -1],\n [-8, 7, 2, -8],\n [5, -8, -9, 2],\n [0, 0, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 10, 8, -5],\n [0, 10, -6, -2, 9],\n [5, -8, -5, 5, -2],\n [7, -10, 9, 10, 3],\n [9, 10, 0, -10, 1]]\nB =\n[[-8, 10, 9, 7],\n [10, 5, -3, 9],\n [-9, -6, -6, -7],\n [3, -8, -7, 1],\n [9, -10, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1752", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -9, 10, 4, -9],\n [9, 4, -10, 3, 8],\n [4, -10, 6, 8, 10],\n [3, 4, -7, -9, 10],\n [-7, 8, 2, 5, 8],\n [6, 4, -1, 10, 0]]\nB =\n[[-1, -5, -3, -10],\n [-1, -10, 6, -7],\n [7, -5, 2, -9],\n [10, 5, 3, 5],\n [4, -2, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -2, -4, 2],\n [-8, -7, 10, -4],\n [5, 10, 1, 0],\n [10, -6, 7, -1],\n [5, -4, 10, -1]]\nB =\n[[-3, 9, -8, 9, -2, -1],\n [-9, -9, -8, 2, 6, 6],\n [-8, -4, 5, 0, 1, 1],\n [10, -4, 9, 1, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 10, 10, 9],\n [3, -6, 5, 7],\n [7, -8, -1, 1],\n [-10, -8, 5, -8]]\nB =\n[[-1, -10, 5, 1, -6, 6],\n [-1, 2, -3, 10, 5, 6],\n [7, -5, -7, 2, 0, 3],\n [-9, 8, -10, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1466", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 10, -2, 2],\n [-5, -7, 0, 7],\n [1, -10, 5, -5],\n [-5, -3, -9, 10],\n [5, 6, 8, 3],\n [2, 6, 7, -5]]\nB =\n[[-7, 7, -5, -10],\n [-1, 4, -3, -10],\n [9, 1, 6, 0],\n [-8, -4, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -3, 4, -3, 5, 9],\n [4, -1, 7, -10, -9, -5],\n [-5, -7, -8, 3, 0, -3],\n [-8, 8, -7, 5, -6, -3],\n [3, 8, -4, 1, 9, -1]]\nB =\n[[4, 0, 6, -10, -5, 10],\n [4, 2, -4, -10, -9, 9],\n [5, 3, -6, 8, -9, 7],\n [-1, 3, -9, -4, 10, -7],\n [-6, -1, -2, -6, -4, 10],\n [7, -2, -1, 8, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, 3, 9],\n [-3, -7, 0, -9],\n [8, 2, 3, 8],\n [-4, 10, 6, 2],\n [-8, 4, 7, 2],\n [-1, 5, 2, 5]]\nB =\n[[-6, 7, -5, -7],\n [7, 9, 3, -5],\n [8, -7, 4, 5],\n [-4, 5, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "628", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, -6, -4],\n [5, -5, -1, 4],\n [-2, -2, 8, 6],\n [2, 3, -8, 5],\n [-9, 10, 0, 3]]\nB =\n[[9, -5, 3, 4],\n [1, -7, 1, 5],\n [-6, -9, -5, 8],\n [2, 10, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "968", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[8, -4, -7, -9, -7, -1],\n [-1, 4, 2, -7, 8, 1],\n [-4, 9, -9, -5, 5, -5],\n [7, -10, 1, -6, 7, 0],\n [-1, 6, -8, -8, 10, 1]]\nB =\n[[-2, -10, -8, -6, -6],\n [-1, -7, 5, -6, 10],\n [1, -9, -3, -4, 7],\n [10, 3, 0, -9, -4],\n [-2, -9, 2, -8, -10],\n [9, 2, 5, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -3, 2, 5, 7, -1],\n [-10, 4, 5, 0, 7, 8],\n [8, -5, -2, -7, 6, -3],\n [8, -10, 6, 1, -8, 5],\n [-6, 0, -5, -1, -7, -1],\n [-5, 10, 0, -1, -1, 0]]\nB =\n[[1, 4, -7, -6, 10, 7],\n [-3, 4, 10, -2, 6, -2],\n [-10, 10, -8, -10, 4, -1],\n [-9, 4, -1, 2, 1, -3],\n [0, 0, -6, 4, 10, 5],\n [6, 2, -6, -10, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2417", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[1, 1, 2, 1, 10, 9],\n [10, -8, 6, 3, -7, 6],\n [-2, -10, -3, -10, -3, 5],\n [-2, 5, 10, -10, 8, 4],\n [1, 4, -4, 9, 5, -2]]\nB =\n[[8, -7, 6, 3, 2],\n [-7, -6, -1, -9, 2],\n [-8, 6, -5, -9, 0],\n [8, 6, 7, 5, 5],\n [1, 8, -3, -2, -4],\n [1, -7, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[5, 1, 4, 1, 8, -9],\n [3, -4, 8, 10, -7, 0],\n [2, -6, -4, 4, 1, 4],\n [6, -6, -4, 5, 2, 2],\n [-8, -7, 8, -1, 8, -6],\n [-9, 4, 2, -5, -2, 3]]\nB =\n[[4, -9, 0, 3, 0, -3],\n [10, 7, 0, -5, 0, 3],\n [-9, 3, 2, -5, 7, -9],\n [-10, -1, 10, 5, -4, -10],\n [1, 1, 9, -9, 5, -7],\n [-1, -4, -2, 2, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-3, 6, -2, -4, -8, 4],\n [3, -4, -3, 0, -8, 4],\n [-7, 0, -3, 6, -10, 9],\n [-9, -9, -7, 0, 4, -7]]\nB =\n[[5, 5, 7, -10, -3, 2],\n [5, -10, -2, -5, 3, 8],\n [-10, -4, 5, 3, 5, 3],\n [8, 3, -10, -6, 2, -4],\n [-6, 8, -1, -5, -6, -3],\n [9, 3, -8, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 4, 2, 5, 6],\n [-1, -6, 2, -7, -3],\n [-8, 10, 0, -10, -1],\n [9, -9, -3, 5, 3],\n [-10, 4, -8, 4, -4]]\nB =\n[[-4, 9, 4, 4, 0],\n [-9, 7, 5, -7, -1],\n [-7, 10, 8, -2, 10],\n [10, 9, -4, -7, 7],\n [7, -2, -8, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-424", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 10, 4, -6, -7],\n [6, 5, 5, -6, 6],\n [-9, 8, 4, -7, -3],\n [7, 3, 1, -3, 0]]\nB =\n[[-10, 10, -6, 7],\n [-6, -4, 0, -6],\n [10, 8, -1, 1],\n [-9, -3, -7, -1],\n [-4, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 8, -2, 4],\n [8, 0, -3, -8],\n [-6, 6, 0, 8],\n [-2, -3, 10, -4]]\nB =\n[[-8, 6, -10, 3, 0],\n [5, 2, 2, -8, 2],\n [-8, 6, -8, 2, 4],\n [0, -9, 5, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-3, -9, 6, 0, 2, 7],\n [6, -4, 1, 10, -2, 3],\n [9, 7, 4, -9, 4, 0],\n [-2, 2, -10, 6, 7, -7],\n [-1, -2, 5, 2, 7, -2],\n [-3, 10, -9, 1, 2, -3]]\nB =\n[[-7, 6, -9, 3, 6],\n [-8, -7, 9, 7, -3],\n [4, 2, -8, 1, -8],\n [2, 5, -6, -8, 10],\n [6, -10, 0, -6, 0],\n [-10, -10, 7, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, 4, 1, 10],\n [6, 2, 4, -5, -7],\n [8, 7, -5, 8, 0],\n [0, 9, -4, -3, -4],\n [2, 4, 7, 7, -4]]\nB =\n[[5, 4, -3, -4],\n [3, -3, -10, 9],\n [-9, -7, -8, 3],\n [8, -1, 4, -3],\n [-9, -7, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -5, 10, -1],\n [-9, -7, 4, -5, 0],\n [7, -3, -8, -1, -1],\n [-5, -4, -10, 1, 0],\n [3, 0, -4, -2, 0]]\nB =\n[[-6, -9, -4, -10],\n [-4, 2, 7, 5],\n [3, 8, -4, -2],\n [-8, -3, 8, 3],\n [9, 1, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, 5, -8, -10, -5, 8],\n [-3, 4, 0, 8, -1, 10],\n [-3, -3, 2, 1, 1, 7],\n [0, -9, -7, -9, -8, -3]]\nB =\n[[-3, 2, -1, 4, -4],\n [1, -6, -6, -7, -6],\n [2, -6, 4, -7, -9],\n [10, 2, -9, 6, -7],\n [9, -1, -6, -10, -10],\n [-8, -10, 5, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 10, 7, 0, -2, 6],\n [8, 8, -10, 7, 1, 9],\n [-4, 9, 5, 8, 6, -5],\n [-8, -4, 5, -5, -7, 9],\n [2, 7, -10, 3, 9, 0],\n [6, -1, 6, 0, -9, 8]]\nB =\n[[3, 9, 0, -8],\n [9, 9, 4, 4],\n [9, 9, -6, -10],\n [4, 2, 9, 0],\n [-5, -6, -9, 1],\n [6, 6, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1858", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -3, 2, -6],\n [6, 3, 6, -2],\n [-7, -6, 8, 2],\n [-2, -10, 6, 8],\n [-1, 10, -7, 2]]\nB =\n[[-10, 5, 3, -2, -6],\n [-3, 7, 10, 8, 7],\n [-1, -3, -9, -1, 5],\n [5, 8, 5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, -1, 4, -1],\n [10, 2, -7, -2, 4],\n [-9, -6, 6, 5, 4],\n [0, 5, -3, 9, 2]]\nB =\n[[-7, 8, -3, -4, -9],\n [-1, -8, -6, 8, -6],\n [-10, -3, 1, -6, -4],\n [-10, 5, 8, 6, 7],\n [3, -10, 10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 10, -3, 10],\n [-6, 3, 4, -10],\n [-3, 10, -3, 0],\n [-5, -2, 3, 8],\n [-7, 3, 7, 2],\n [-3, 9, 4, 10]]\nB =\n[[1, -1, -5, -4],\n [-1, 2, -7, 9],\n [-8, 0, -3, -2],\n [10, 9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1573", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-3, -10, 2, 10, 5],\n [-7, -8, -4, 8, 3],\n [-9, -9, -5, 1, 1],\n [4, 8, 2, -7, 9]]\nB =\n[[5, -8, 1, 8],\n [-7, 10, -4, 2],\n [-7, -10, -8, -8],\n [2, -2, 2, -1],\n [1, -8, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, 2, 4, 0],\n [-5, 0, 1, 9, 5],\n [-6, 5, -8, 3, -8],\n [10, 4, 7, -9, 2]]\nB =\n[[-2, 7, 5, -4],\n [3, -5, 9, 0],\n [-10, 9, -1, 1],\n [8, 8, -8, 1],\n [0, 3, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-3, -2, 5, 2],\n [5, -8, 4, -5],\n [5, 0, 0, 8],\n [-4, -5, 7, 10],\n [1, -3, 0, -1]]\nB =\n[[-7, -10, 7, 1, -3, -3],\n [-2, 9, -3, 3, 6, 9],\n [-9, -9, 2, 7, -1, -7],\n [0, -6, 3, 2, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 5, 10, 2, 3],\n [-5, 2, -1, 8, 0],\n [2, 5, -1, 3, -7],\n [-6, -9, -7, 2, 0],\n [2, 4, 10, 5, -1],\n [7, -10, -7, 7, -2]]\nB =\n[[8, -1, 2, 9],\n [-3, 1, 9, -1],\n [8, 5, 1, 8],\n [0, -6, 0, -10],\n [7, -3, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1323", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-8, -8, -7, 5, 6],\n [9, 3, 4, 6, 5],\n [6, -6, 6, -8, 5],\n [3, -9, 10, 4, 5],\n [-4, 5, -7, 4, -10]]\nB =\n[[6, 1, -1, -1],\n [4, 9, -2, -10],\n [10, -7, -1, 9],\n [-3, -10, -2, -4],\n [4, 3, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -7, -7],\n [-10, -3, 5, 4],\n [7, -10, 6, -2],\n [-10, 0, 10, 4],\n [7, 8, -6, 9],\n [-1, 2, -7, 5]]\nB =\n[[6, -2, -9, 3, 2],\n [6, 4, -2, -7, -10],\n [3, -7, -1, -4, 10],\n [8, 0, -9, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1811", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -6, 1],\n [-5, 10, -1, 6],\n [3, -5, -9, -6],\n [9, 1, 3, 0]]\nB =\n[[-4, -4, 7, 4, 2, 6],\n [-10, -6, 9, -7, 7, 7],\n [-4, 7, -5, 8, 2, -2],\n [0, 3, 3, 7, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -10, 2, -3, 5],\n [-9, 1, 2, -7, -1],\n [-4, -5, 6, -5, 9],\n [6, 5, 3, -3, 4],\n [0, 10, -4, -6, -9]]\nB =\n[[-2, -3, 7, -6],\n [-1, -6, 10, -4],\n [-2, 9, 6, -6],\n [5, 6, -6, -9],\n [0, 7, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 6, 2, 9, 9, -1],\n [9, -6, 2, -5, 6, 10],\n [9, 7, -8, 0, 0, 8],\n [2, -1, 5, 0, 9, -3],\n [-10, 5, 1, 2, 0, -3]]\nB =\n[[9, -4, -1, 8],\n [1, -10, -9, 0],\n [-4, -6, -2, 9],\n [9, -7, -10, 7],\n [-9, 4, 3, -5],\n [0, 3, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -5, -3, 2],\n [-3, 0, 3, 9, 5],\n [4, 3, 3, -6, 1],\n [-7, -9, -7, 1, 1],\n [1, -8, 4, 6, -4],\n [-9, 5, -1, 2, -4]]\nB =\n[[-4, 4, 1, 5],\n [2, 3, 8, -1],\n [0, 1, 4, -10],\n [-5, -1, 9, 2],\n [0, 8, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 2, -3, 7, 9, -10],\n [-3, 1, -2, 6, 7, 6],\n [10, -3, -6, -5, 2, -8],\n [-10, -1, -5, 3, -2, 4]]\nB =\n[[10, -2, 6, 0, -1, 9],\n [-5, -10, -7, 4, -3, -10],\n [-6, 9, -2, 2, 0, -6],\n [-2, 9, 2, -5, 7, -10],\n [-7, 6, -2, -10, 0, 8],\n [4, 4, -1, -9, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1718", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 4, -6, 2, 7],\n [2, -8, -6, -2, 10],\n [0, 3, 7, -5, -4],\n [8, 3, 1, -8, 10],\n [0, -3, -3, 1, 3],\n [-2, 10, 7, 8, -7]]\nB =\n[[7, 8, 10, -3, -1],\n [4, -3, 2, 7, 6],\n [-9, -2, 7, 5, 0],\n [0, 4, 2, 1, -5],\n [-1, 1, -2, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 6, -10, 9],\n [0, 1, 3, 5],\n [-5, 7, -2, 0],\n [-10, -7, -6, -3],\n [8, -7, -10, -3]]\nB =\n[[7, 4, -8, 6, 5, -5],\n [-8, 0, -8, -2, 1, -2],\n [0, 4, -2, 0, 3, 0],\n [-10, 6, 6, -6, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1462", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -4, 3, 6, 5, -6],\n [-2, 7, 4, 0, -8, 8],\n [3, -1, 7, -8, -8, -9],\n [-4, -7, -9, -6, 7, -4]]\nB =\n[[1, 3, 2, -9, -7, -4],\n [7, -10, -9, -10, -10, 10],\n [8, -1, -4, -7, 5, -5],\n [3, 5, 5, 4, 3, -10],\n [-8, 8, 10, -6, 8, -10],\n [5, 1, 2, 7, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-10, 0, -6, 2, 7],\n [-2, 5, -5, -2, -7],\n [3, -3, 2, -6, -8],\n [-9, -10, 10, -4, 1]]\nB =\n[[6, -6, 6, 3],\n [-1, 6, -1, -3],\n [2, 10, 2, 3],\n [-9, -9, 0, 9],\n [-4, -9, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 8, 5, 7],\n [-10, -7, -2, 8],\n [4, 8, 4, 0],\n [-5, 6, 3, -10],\n [8, 5, -4, 0]]\nB =\n[[9, 2, -6, 2, 6, 4],\n [-1, -9, -4, -2, 0, 9],\n [-5, 2, 5, 5, -5, 8],\n [-6, -2, 1, 10, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 5, 10, -10],\n [-2, 2, -8, 7],\n [1, -9, 6, -9],\n [-9, -1, -9, -10],\n [-8, -8, 6, 4],\n [-9, -1, 8, 5]]\nB =\n[[-3, 7, -6, -3, 10, 6],\n [8, 1, 5, -1, 3, 0],\n [8, 10, 9, 8, 4, -10],\n [4, 7, -3, 7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -5, 3, -3, 1],\n [9, -1, 5, -1, 3],\n [4, 4, 4, 5, 8],\n [-9, 5, 3, -1, 2],\n [-8, 8, 0, -4, 5]]\nB =\n[[-2, 5, -2, 5, -8],\n [10, -9, -2, 8, -5],\n [7, -8, 5, -4, -7],\n [8, 10, -6, -4, -5],\n [-6, 3, -2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 10, -10, -2],\n [8, 8, -5, -1],\n [-4, -2, -3, 7],\n [-8, -4, -9, 4]]\nB =\n[[-9, -9, 1, -8],\n [5, 1, -8, 8],\n [-10, -5, -4, 9],\n [-8, -8, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 5, -10, 2, -2, -1],\n [-2, -5, -10, 5, -10, -10],\n [2, 6, -6, 10, -3, 10],\n [-1, -5, -3, -6, -7, -3]]\nB =\n[[9, -1, 1, 3],\n [1, -10, 4, -5],\n [5, -1, -4, 8],\n [-9, -10, 3, 3],\n [9, 3, 0, -2],\n [-5, -7, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-501", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -9, -1, 7],\n [0, -1, -8, 2, -9],\n [-2, 6, 0, 2, 1],\n [-3, 2, 4, 2, 3],\n [-9, 6, 2, -8, 2]]\nB =\n[[-6, 2, -7, 0],\n [-1, 3, 10, -7],\n [-1, 0, 3, -4],\n [3, 9, -5, -7],\n [-2, 3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, 1, 9, -5],\n [5, -6, 5, 1, 3],\n [10, 5, -8, -10, 5],\n [1, -5, -7, 6, 8],\n [10, 3, -7, -7, -4]]\nB =\n[[10, -4, -5, 0, -4, -2],\n [-1, -6, 10, -1, 1, 5],\n [-4, -9, 9, -7, -5, -3],\n [8, 9, 10, -3, 3, 3],\n [4, -8, -8, -3, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -5, 1, -3],\n [9, -3, 10, 9],\n [9, -7, 1, -1],\n [6, 8, -10, -5],\n [-10, 10, 10, 5]]\nB =\n[[5, -6, -4, 1],\n [-10, -4, -8, 5],\n [-8, 9, -7, -7],\n [3, -3, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -1, -5, -3, 7],\n [5, -10, 5, 9, -5, -9],\n [-3, -3, -5, 0, -9, -5],\n [-2, 1, 1, -1, -5, 10],\n [7, 0, -1, 6, -8, -6],\n [-5, -5, 7, -3, -4, -7]]\nB =\n[[8, 3, -5, -10],\n [10, 10, 10, 4],\n [-7, 2, 2, 7],\n [3, -2, 10, -5],\n [-4, 8, -1, -10],\n [-9, 0, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 2, 7, -8],\n [-7, -5, -10, -3],\n [0, -4, -3, 1],\n [7, -7, 2, 3]]\nB =\n[[-5, -3, -10, 9, 3, 7],\n [9, 1, -2, 5, -6, 10],\n [-10, 1, 2, -6, 10, -4],\n [9, 10, 2, -1, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[-3, 9, 8, 8, 4, -7],\n [-8, -8, 1, -4, -3, -8],\n [-6, -2, -4, 3, 3, -2],\n [-1, -5, -10, 0, -7, -10],\n [4, -3, 0, 10, -7, -9],\n [-7, -3, -3, -3, 9, -2]]\nB =\n[[-5, -9, -10, 0, -9, -3],\n [10, 7, 4, 8, 7, 1],\n [-10, -10, -9, 10, 3, 0],\n [5, -3, -3, 3, -9, 10],\n [7, -4, 10, -10, 6, -3],\n [-1, 0, 7, -7, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, -7, -4, -5, 6],\n [-8, 9, 6, 7, 3, -10],\n [2, 4, 8, 6, -4, 9],\n [0, 4, -3, -8, 4, -6],\n [8, 7, 2, -8, 1, 4]]\nB =\n[[1, 5, -4, 1, -10, 8],\n [4, 2, -8, 2, 1, 6],\n [0, 3, -7, -10, -9, -5],\n [9, -2, -6, -2, -7, 4],\n [-3, -2, -4, -4, -2, -2],\n [7, -4, 8, 7, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[4, -4, 7, 1, -3],\n [-4, 5, -5, -5, 2],\n [-2, -10, 3, 0, -10],\n [-4, -5, 0, 0, -3],\n [-4, -7, -4, -8, -2],\n [-7, 3, -8, -6, 5]]\nB =\n[[9, 4, -4, 3, -5],\n [-5, -1, -2, -1, 1],\n [4, -10, 5, -2, 6],\n [4, 2, 8, -5, 9],\n [3, -7, 9, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, -5, -6],\n [-7, 1, -8, -8],\n [-9, 6, -10, 5],\n [10, 1, -1, -10],\n [9, -4, 6, -7],\n [-4, 4, -4, 6]]\nB =\n[[1, -7, 2, 7],\n [-4, -10, -8, -1],\n [9, -5, 8, 9],\n [-5, -7, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-6, -5, 0, 5, -6, 10],\n [9, -5, 6, -5, -7, 6],\n [0, -10, -6, 4, -4, 1],\n [-2, -7, -2, 5, -3, 2],\n [-5, -7, -3, -2, 3, 6]]\nB =\n[[8, 2, -5, -9],\n [-2, 6, -6, -9],\n [-8, -3, -4, 7],\n [-6, -5, 6, -10],\n [7, 2, 5, -2],\n [10, 3, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -10, -5, 6, 2, 9],\n [-6, -2, -3, -10, 3, -7],\n [1, 9, -2, -4, -3, 2],\n [-5, -9, -7, 2, 4, -3],\n [-2, -7, 9, -1, 10, -6],\n [6, -6, 8, 7, 5, -5]]\nB =\n[[4, 6, 6, 1, -10],\n [9, -9, 7, -5, 5],\n [-5, 6, 0, -6, -7],\n [-4, -10, -10, 9, -3],\n [0, 10, 7, -2, 6],\n [-5, -10, 5, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2588", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[10, -7, 2, 4, 8, -5],\n [8, -9, -2, -10, 10, -6],\n [6, 10, -6, 8, 1, -6],\n [8, -10, 1, 0, 2, -4],\n [10, 8, -5, 5, -3, 10],\n [-8, 0, 2, -9, -3, 9]]\nB =\n[[2, 4, 2, -8, -5],\n [1, 10, -8, -9, 10],\n [-1, -5, -7, -8, -9],\n [-7, 6, -5, 4, 10],\n [-2, 3, 1, -7, -7],\n [-10, -2, -3, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[6, 9, -4, 10, -3],\n [0, -1, 10, 6, -4],\n [-2, 1, -3, 1, 2],\n [2, 4, -8, -7, -3],\n [10, -6, 3, -8, -4]]\nB =\n[[9, -6, 2, -8, -6],\n [-3, -4, -6, -3, 3],\n [-4, -4, 8, 5, 7],\n [-3, -10, 6, -10, -5],\n [-8, 1, 9, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 6, -4, -2, 8],\n [10, -4, 1, -2, 9],\n [1, 3, 0, -2, 5],\n [-1, 0, -9, 3, 6],\n [-1, -3, -1, -10, 6]]\nB =\n[[-10, 5, -4, -4],\n [-5, 4, 8, -7],\n [9, 9, 9, -8],\n [9, 1, 9, 7],\n [-6, 3, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1274", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 3, -3, 7],\n [4, -1, 0, 1, 3],\n [8, 1, -10, -10, -6],\n [-1, -8, 7, 0, -9]]\nB =\n[[-4, 8, -1, 8, -4],\n [9, -5, 3, 4, 8],\n [0, -1, 8, -6, -9],\n [2, 6, 5, -8, 10],\n [0, 10, -10, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 8, -4, -4, 0, -5],\n [5, 2, -3, -3, 10, 6],\n [9, 5, 6, -8, -2, -10],\n [4, 6, 6, -6, 9, -4],\n [-6, 2, 3, -4, 7, 6],\n [9, 1, -3, -1, -10, 10]]\nB =\n[[7, 7, -3, -1, 6, -7],\n [4, 6, 1, -4, -4, -7],\n [-10, 3, 0, 3, -1, 6],\n [6, 9, -9, 8, -3, 3],\n [1, 3, -10, 0, -9, -10],\n [-8, -5, 6, -5, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-715", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 6, 1, 3],\n [-2, -7, -9, 6, -10],\n [6, 8, 6, -2, 9],\n [-1, -8, -3, 2, 1],\n [-4, -4, 8, 7, 5],\n [3, 2, -5, -6, 10]]\nB =\n[[1, 9, -9, 4, 0],\n [-5, 6, 3, -5, -5],\n [-2, 7, -3, 0, 2],\n [-5, -10, -3, 2, 10],\n [2, -8, 1, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -6, 4, -2],\n [-6, -3, -5, -6],\n [5, -4, 2, -3],\n [-9, 5, 2, 6],\n [-1, 5, 0, 9]]\nB =\n[[2, -1, -8, -5],\n [8, 0, 4, 2],\n [3, 4, 4, -8],\n [-8, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 5, -8, 4, 4],\n [1, -5, -2, -10, -10],\n [0, -6, -4, -5, -9],\n [10, 3, 10, 9, -6]]\nB =\n[[1, 8, 10, 4, -6, 2],\n [2, 1, 10, 8, -4, 9],\n [-6, 1, -10, 7, -3, 1],\n [3, 8, -4, -3, 7, 9],\n [10, -7, 4, -9, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 2, 3, -9, -1, 8],\n [9, -8, -4, 8, -4, 6],\n [8, 5, 7, -1, -7, 3],\n [-9, 10, 3, 2, 10, 3]]\nB =\n[[7, 3, 4, -8, -6],\n [-10, 6, 8, 5, 5],\n [-1, -6, 0, 7, -2],\n [8, 9, -9, 8, -9],\n [-4, -4, 7, -4, -5],\n [3, -5, 8, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, 9],\n [4, -1, 1, -2],\n [-5, -5, 1, -3],\n [-9, 9, 4, 6]]\nB =\n[[3, 9, -6, -10, -4],\n [5, 6, -1, 5, 3],\n [3, 3, 8, -8, -10],\n [0, 5, 6, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[1, 7, 5, -1, -1],\n [-5, -7, 4, 4, 1],\n [-8, 6, 4, 2, 7],\n [9, -8, 4, -1, -8],\n [-4, 8, 4, 2, 5],\n [0, -2, -3, 5, 7]]\nB =\n[[-7, -10, 9, 9, 9],\n [-2, 0, -2, 3, 8],\n [-7, 10, -10, -1, 0],\n [6, 9, 10, -6, 0],\n [3, 2, 1, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -5, 8, 9, -5],\n [4, -10, 1, 5, -2],\n [5, 8, 4, -3, -8],\n [-7, 3, 4, 2, -9],\n [-1, 9, -4, 3, -1]]\nB =\n[[-4, 3, 3, -4, 10],\n [-10, -4, 5, -9, -7],\n [7, 8, 6, 4, -10],\n [7, 10, 3, 4, 1],\n [-10, 8, -8, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2378", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-9, -7, 3, 1, 9, 0],\n [6, -3, -9, -5, -7, 7],\n [-4, 2, 1, -9, -9, 0],\n [-2, -5, -6, -9, 7, 2],\n [5, -7, -8, -1, -7, -9]]\nB =\n[[-10, 2, 10, 4, -10],\n [-3, -1, 10, -9, 7],\n [-6, -5, -6, -5, 3],\n [8, -1, 4, 2, -4],\n [1, -4, 5, 8, 10],\n [-2, 10, 0, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 0, -3, -5],\n [7, -4, -1, -8],\n [-9, -6, -3, 9],\n [8, 0, -2, 10]]\nB =\n[[-5, 9, 2, 6, -1],\n [-4, -9, 2, 3, -6],\n [-8, 1, -6, 0, 8],\n [8, 10, 3, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, -10, -7],\n [-9, 7, 6, 8],\n [-10, -1, -10, 4],\n [1, -8, -4, 4]]\nB =\n[[1, 10, 5, 6, -7],\n [-9, 10, -9, 2, 9],\n [-8, 10, 1, -7, -9],\n [8, -8, -3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[3, -2, 7, -3, -2, 10],\n [2, -6, 7, -7, 6, 9],\n [0, 4, 10, 1, -9, 6],\n [-8, 2, 4, 6, -8, 2],\n [-4, -3, 8, -4, 4, 4]]\nB =\n[[3, -5, -3, 8],\n [-10, 1, 6, -6],\n [4, 10, 5, 5],\n [8, 4, 3, -1],\n [-8, 8, -8, -7],\n [2, -5, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[0, -8, 4, 8],\n [6, 8, 1, 5],\n [1, -4, -3, -1],\n [1, -10, -4, 1],\n [8, 8, 1, -6],\n [0, 1, 7, 1]]\nB =\n[[5, 2, 2, 6],\n [-1, -1, -6, 4],\n [-2, 2, -5, 5],\n [1, -5, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 7, -7],\n [9, 2, -7, -9],\n [6, 3, -1, 5],\n [1, -8, -4, -4],\n [-2, 6, 0, -2],\n [-2, -10, 8, 2]]\nB =\n[[5, 3, 0, 8],\n [-1, 5, -7, 4],\n [7, 5, -2, 10],\n [-7, -3, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "900", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -1, -5, 8, 0],\n [10, 5, 0, 10, -9, -1],\n [-2, -7, -8, -7, 4, -4],\n [-6, 9, -3, 10, 6, 2],\n [6, -8, -7, 5, -2, 8]]\nB =\n[[-10, 7, -6, -10, 2, 1],\n [5, 1, -10, -2, 0, 4],\n [-10, -3, -7, 1, -3, 9],\n [-1, -4, 4, 6, -4, -8],\n [-10, -2, 7, 5, -2, -6],\n [-10, -8, -3, -9, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -8, 2, 4],\n [-4, -7, -4, 6],\n [-9, 5, 4, -8],\n [1, 9, 3, 0],\n [6, -1, -5, 10],\n [-10, 3, 5, -2]]\nB =\n[[-1, 7, -6, -2],\n [-7, -2, 5, -1],\n [8, 6, -2, 9],\n [-4, -8, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "860", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, 4, -3, -4, 6, 6],\n [-4, -7, -3, 5, -5, 10],\n [4, 3, 1, 10, -1, 2],\n [10, 9, 10, 2, 5, 3],\n [9, -2, 0, -7, -3, 6],\n [8, 10, -5, 4, -9, 7]]\nB =\n[[-9, 5, -3, 6, 10, -4],\n [-6, -6, -8, 7, -9, -4],\n [8, 9, 7, 9, 0, -10],\n [6, 9, 6, -3, -9, 7],\n [-3, -1, -5, 10, 6, -6],\n [-10, -6, -4, 3, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -8, 7, -2, 7],\n [9, -8, -6, -4, 6],\n [6, -9, 5, -7, 5],\n [-2, 7, 9, 8, -8],\n [-8, 6, -6, 9, -5],\n [-1, -5, -10, 6, 7]]\nB =\n[[4, 3, -4, -7, -1],\n [-6, -6, 4, 4, 9],\n [-6, 3, -8, 2, 2],\n [5, -1, -9, 4, 0],\n [1, 5, -6, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, -10, -5],\n [-2, 7, 8, -9, -7],\n [3, 2, -6, -7, -10],\n [6, 2, -7, 10, 5]]\nB =\n[[-9, 2, -2, 3, -5],\n [9, 0, -4, -10, -6],\n [-9, 9, -1, 6, -1],\n [-4, 4, 9, 1, 9],\n [7, -3, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-635", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -5, -10, -9],\n [-8, -1, -4, -7, -7],\n [7, 10, -6, 2, 2],\n [-2, 8, 1, -10, -5]]\nB =\n[[-3, 5, -6, 4],\n [-7, -5, 6, 5],\n [6, -10, 6, 1],\n [-6, -7, 3, 1],\n [9, 10, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -7, 5, 8, 5, 7],\n [2, 5, 3, 9, 6, 8],\n [5, 7, -1, 5, 3, 10],\n [10, -4, -3, 6, -8, 9]]\nB =\n[[6, 8, -5, 4, 6],\n [5, -5, 4, -3, 9],\n [2, 10, 9, 1, -5],\n [4, -1, 9, 1, -1],\n [-3, 5, 10, -10, -8],\n [-5, 1, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[7, -8, 6, 8, -1, 3],\n [3, -8, -10, 7, 1, -2],\n [-7, 1, -8, 1, 5, 9],\n [9, 4, 4, 2, -7, -1]]\nB =\n[[-10, -1, -8, 5],\n [9, -4, -9, -7],\n [-3, 10, 3, -3],\n [-3, -5, -4, -3],\n [-7, -7, 4, 1],\n [10, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 0, 0, 2, -4],\n [-9, 2, 2, -6, 1],\n [-6, -4, 1, 2, 9],\n [2, -2, -5, 10, 4]]\nB =\n[[8, 9, 7, -7, -8, -9],\n [10, 7, 4, 10, 0, 1],\n [-8, 0, -1, -6, 5, -8],\n [0, 9, 2, -4, -8, 9],\n [4, -5, -3, 9, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1622", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -10, -9, -10],\n [1, 2, -5, 5],\n [1, 6, 3, -3],\n [2, -5, -8, -10],\n [-6, -1, 3, -5],\n [9, -3, 2, 9]]\nB =\n[[-1, -2, 3, -1, 0, 8],\n [0, -6, 5, 3, 2, 10],\n [3, 1, 2, -10, 4, -1],\n [-8, -10, 0, -7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 10, -7, -5, 2],\n [-3, -7, -6, -5, -4],\n [-3, 9, 9, -2, 5],\n [-5, -9, 10, 4, -4],\n [7, 8, 3, -3, 9],\n [10, 2, -9, -2, 6]]\nB =\n[[5, -2, -8, -10, -4, 9],\n [-2, -10, 0, -4, 1, 5],\n [4, 2, -10, -6, 8, 2],\n [8, -5, 4, 0, 5, 1],\n [9, -7, -10, 3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-627", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -1, 10, 10, -9],\n [-2, -8, -3, 6, -2, -7],\n [-9, -5, -10, 10, 3, 1],\n [-3, 8, 4, 6, 9, -5]]\nB =\n[[-2, -9, 0, 6, -10],\n [6, -10, -5, -10, 2],\n [9, 9, 6, -5, 5],\n [0, 9, -5, -3, -7],\n [-7, 8, 0, -10, 6],\n [1, 0, 6, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1788", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 3, 7, 7],\n [-1, -8, 2, -2],\n [-10, 4, -2, 10],\n [4, -6, 7, 3],\n [10, -8, -1, -9],\n [6, 3, -5, 2]]\nB =\n[[8, 10, 8, 0],\n [-3, -3, -9, -5],\n [0, 8, -5, 9],\n [4, 4, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 3, 8, 10, 10, -8],\n [7, 4, -2, -3, -10, -4],\n [2, 2, 5, -2, -1, 7],\n [0, 4, 5, -10, 3, 9],\n [4, 7, 2, -5, 8, -3]]\nB =\n[[4, -8, -9, -8],\n [10, -2, -3, 0],\n [-9, -2, -6, 8],\n [6, 1, 8, 1],\n [-8, -4, 4, -8],\n [0, 1, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-825", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[1, -2, 8, 0, 5, 2],\n [-4, -2, 6, 6, -10, 5],\n [-2, 8, -10, -4, 10, 8],\n [-4, 9, 5, 0, 3, -9],\n [2, 9, 9, 2, -3, 7],\n [-10, 7, -3, 0, 6, -10]]\nB =\n[[-9, 0, -4, 10, 0, -9],\n [1, 2, -3, 0, -9, -6],\n [2, -6, 6, -1, -2, -6],\n [-8, 1, -8, 7, -6, 3],\n [-6, -1, -7, 6, 4, -10],\n [-2, 4, 10, -2, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -6, 3, -2, -9, -5],\n [4, 10, -2, 3, 1, 1],\n [-7, 7, -1, 6, -8, -3],\n [6, -8, -7, -9, -1, 8]]\nB =\n[[0, -3, -6, 4, 8],\n [-1, 0, 0, -2, 5],\n [-7, -3, -1, -7, 4],\n [-2, 10, -9, 0, -8],\n [1, 3, 2, 10, -4],\n [-5, -6, -4, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 10, 7, 5, 6],\n [3, -6, 10, -2, 10],\n [7, 10, 9, 8, 2],\n [-1, -6, -9, 6, -10],\n [4, -5, -10, -2, 5]]\nB =\n[[-1, -7, 8, -5, -4, 8],\n [-9, -1, -5, -8, 7, 3],\n [-10, 1, -3, -3, -3, -3],\n [4, 0, 8, -7, -6, 7],\n [-1, -7, 4, -4, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -8, 5],\n [-9, -2, 9, -9],\n [-10, 10, 5, -4],\n [5, 1, 3, -4],\n [4, -4, -6, -6]]\nB =\n[[4, 8, -5, 1, -9],\n [9, 10, -6, -10, 7],\n [-10, -5, -6, -3, 6],\n [2, 7, -6, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, 6, 2],\n [7, 6, -2, 10],\n [-5, -5, 0, 7],\n [-9, -5, -8, -7],\n [10, -2, 7, 5]]\nB =\n[[-1, -7, 3, 8],\n [-8, -6, 1, -3],\n [4, 7, -1, 8],\n [-4, 4, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "323", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[10, 7, -7, 4, -10, -3],\n [-4, 1, -3, 9, 2, -10],\n [-3, 6, -7, 9, 0, -3],\n [10, 5, -8, -8, 2, -8],\n [-6, 1, -5, -6, 10, 5]]\nB =\n[[-7, 4, -8, -7, -10, 3],\n [-5, 0, -1, 7, -5, 3],\n [3, 2, 5, -8, -2, -7],\n [-7, -1, -2, -2, -10, -6],\n [5, 8, 6, -3, 10, -7],\n [5, -10, -3, -10, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, 8, -1],\n [0, 7, -3, -10],\n [-2, -9, 0, 5],\n [-10, -3, 9, 10],\n [1, 6, 3, -2]]\nB =\n[[0, -10, -3, 3],\n [0, 5, -7, -6],\n [4, 5, 0, -8],\n [-6, -5, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-2, -3, -6, -1],\n [-8, 8, -10, 6],\n [3, 10, -6, 7],\n [-1, 7, 4, -9],\n [-8, 5, 0, -4]]\nB =\n[[6, 9, 10, -2, -5, -4],\n [-3, -10, 2, 1, -2, 8],\n [4, 0, -1, 7, -8, -5],\n [3, -4, 0, 9, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 6, -7, 0, -9],\n [3, -9, -3, 1, -1],\n [-7, 3, 7, -7, -8],\n [-2, 7, 9, 8, -10]]\nB =\n[[8, -1, -7, 10, 3],\n [-8, 5, -8, 1, -8],\n [8, 6, 10, -4, 5],\n [3, 0, -1, -8, 4],\n [-2, -4, 1, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 4, -4, -4, -8, 7],\n [1, 7, 4, -4, -1, -4],\n [4, 8, -3, 3, -6, 9],\n [-1, -3, -2, -6, -8, -9]]\nB =\n[[-10, 4, 5, 9, -6],\n [2, -6, -3, -1, 3],\n [-8, -4, -2, -5, 8],\n [-6, 9, 6, -2, -7],\n [9, 0, -4, -8, 0],\n [-6, 7, 10, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[-1, -6, -5, 4],\n [-7, 8, -3, -9],\n [-9, 3, 0, -3],\n [-7, -4, -4, 7]]\nB =\n[[4, 5, 5, 4, -3],\n [-7, -6, -1, -6, -7],\n [3, 7, 2, 10, 5],\n [7, 4, 3, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, -1, -7, -8, 6, 8],\n [5, -9, 6, 4, 3, 2],\n [1, 6, 10, 3, 2, -10],\n [0, 2, -6, 2, -10, 2],\n [-10, 2, -8, -9, -5, -3]]\nB =\n[[-1, -10, -8, -3, 0, -9],\n [-4, -1, -3, 1, 8, -8],\n [-9, -9, -7, 4, 8, 0],\n [8, -7, 10, -7, -6, 7],\n [-3, -3, -5, 1, -9, 1],\n [3, 1, -7, 10, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 6, -9, -7],\n [-8, 4, -10, -10],\n [5, -4, -3, -7],\n [1, -4, -5, 2],\n [-5, -4, 7, -10],\n [-3, -1, 3, -10]]\nB =\n[[-3, 0, 0, -7, 10, -10],\n [-5, -2, 6, -7, 3, -4],\n [9, -5, -1, 10, 7, 2],\n [9, -4, 1, -5, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[6, -4, -2, 7, 9, 2],\n [-9, 6, -5, 1, 5, -4],\n [0, -6, -9, -1, 7, -7],\n [-6, 4, 6, -4, -7, 3]]\nB =\n[[0, -1, 4, 7, -2, 2],\n [-7, 10, -4, 5, -8, 3],\n [2, -2, 10, -6, 9, -9],\n [3, -7, 3, 6, 0, 8],\n [-9, -5, -8, 8, -6, 9],\n [-1, -3, 1, 8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, 6, 9, -3, -3],\n [7, 7, 4, 3, 5, 5],\n [-3, -6, -1, 10, 9, -8],\n [3, -4, -8, -3, 0, 6],\n [-5, 0, 4, 2, 1, 2]]\nB =\n[[6, -10, 8, 2, 7],\n [4, -6, 2, 10, 3],\n [5, 5, 8, 3, -5],\n [10, -2, 1, 10, -1],\n [1, 1, 2, 1, 10],\n [-8, -10, 8, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1943", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[9, 6, -10, -7, 10, -7],\n [8, -1, -7, 4, 8, 8],\n [-3, 7, -5, 0, 10, 6],\n [-10, -1, 0, -8, 10, 3],\n [-1, -5, 1, 8, -10, -3],\n [-10, -10, -9, 6, 3, -4]]\nB =\n[[-9, -9, -2, 7, -5, -6],\n [-3, 6, -5, -10, 1, -2],\n [-1, -8, 5, -2, 4, 4],\n [-7, 4, -9, -8, 0, 0],\n [8, -4, -7, 7, -7, 3],\n [4, 3, -10, -9, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-8, -10, 6, 5, -3, 6],\n [6, 0, 5, -3, 4, -7],\n [-3, -9, -2, 2, 5, -7],\n [0, -6, -4, 6, 3, -3],\n [10, 10, -8, -4, -10, 4]]\nB =\n[[-7, -6, -3, 0, -2, 7],\n [8, 6, -8, 1, 5, 3],\n [10, 5, 8, -5, 7, -10],\n [9, 3, -10, 5, -3, 6],\n [6, -7, -4, 5, 8, -8],\n [-3, 5, -10, 0, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, -4, 6, 6, 7, 2],\n [-7, 2, -4, 9, 4, -5],\n [10, 4, 1, 5, 0, 8],\n [4, 8, 10, 3, -4, 8]]\nB =\n[[9, -6, 7, -3, 3],\n [3, 5, -4, -2, 8],\n [-2, -3, -8, -5, 3],\n [-10, -9, -5, 1, -7],\n [-5, -2, -3, -1, 2],\n [-4, -10, 6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -6, 10, 5, 6, -10],\n [-2, 2, 0, 8, 4, -2],\n [-7, 7, 8, -5, 3, -5],\n [-4, -9, -1, -4, -1, -5],\n [9, 4, -2, -6, -8, 8]]\nB =\n[[-3, -8, 4, 10, 8],\n [10, -2, 0, 1, 0],\n [8, 7, 5, -7, 6],\n [-5, -4, 0, 7, -7],\n [-1, -3, -4, -9, 10],\n [-4, -8, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-3, 4, 1, -9, 6, 3],\n [9, -7, -10, 4, 7, -9],\n [0, 0, 3, 9, 6, 1],\n [-9, -7, 5, -5, -9, 1],\n [8, -7, -5, -1, 8, 5],\n [7, 3, -1, -3, 2, -7]]\nB =\n[[9, 3, -3, 8, 7],\n [9, -4, 4, -1, -6],\n [-3, -3, 4, 2, 8],\n [-10, 9, -10, 10, 2],\n [1, 5, -2, 8, 8],\n [7, -2, -9, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-5, 5, -5, 3],\n [-3, 5, -4, -3],\n [8, -8, 9, -10],\n [0, 7, 9, 10],\n [9, 1, -1, -6]]\nB =\n[[-2, 7, 6, -1, 10],\n [2, 0, 4, -4, -2],\n [6, -1, 10, 1, 2],\n [-1, 10, -5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -9, 4, 8],\n [0, 8, 0, 7],\n [-2, -7, 4, 9],\n [0, -6, 3, 5],\n [6, 8, -1, -8],\n [6, -3, 6, 5]]\nB =\n[[1, -6, -3, 2, 10, -4],\n [7, 8, -5, -10, -3, 4],\n [10, -9, -4, 1, -10, 8],\n [1, -5, -2, -6, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 3, 9, 3, -3, -1],\n [-1, -1, 7, 6, -9, -5],\n [9, 4, -4, 0, 10, 4],\n [7, -8, 7, -4, -3, -9],\n [0, -4, 5, 5, -7, 7],\n [3, 4, -10, -3, 1, -2]]\nB =\n[[-6, -3, 10, 1, 0],\n [8, -3, 2, 8, -4],\n [-3, 5, 5, 3, -4],\n [9, 8, 5, 0, 6],\n [-5, 0, 4, -5, 3],\n [5, 3, 3, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, -8, -5, 6, 1, -7],\n [-4, -4, -2, -10, -3, 2],\n [6, 0, 4, -7, 1, 7],\n [-5, -3, -2, -6, -10, -9]]\nB =\n[[9, 9, -1, 2],\n [8, -6, 6, 9],\n [10, -4, 1, -10],\n [0, 1, -3, -3],\n [-6, 9, -5, 0],\n [-5, 10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 10, -10, -4, 1, 10],\n [-9, -8, 0, 1, 5, -10],\n [-1, 4, -3, -6, 7, -3],\n [-4, 8, 0, 1, 3, -10]]\nB =\n[[6, -3, -3, 10, -2],\n [4, -5, -5, 2, 7],\n [4, -2, -6, 4, -3],\n [6, -7, -4, -5, -4],\n [-8, 8, -3, 10, -5],\n [-9, 5, 8, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 5, -3, 7, 2],\n [7, -5, 6, 4, 0],\n [-10, 5, -8, -6, 10],\n [3, 8, -5, -10, -10],\n [-3, -2, -5, -9, 1]]\nB =\n[[3, 7, 8, -1, -4, -1],\n [-2, -7, 0, -10, -6, -7],\n [5, 5, 4, -3, 4, -8],\n [-2, -2, 0, 7, 5, 2],\n [1, 2, 4, -4, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-603", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 5, 4, -8, -7, -8],\n [-7, 2, -1, 3, 5, -3],\n [-2, 2, -3, 2, -10, -3],\n [3, 9, 2, 9, 1, 7]]\nB =\n[[9, -2, 1, -5, -7],\n [10, -7, -4, -7, 2],\n [-3, -2, -1, 9, 9],\n [8, -1, 9, 0, -9],\n [6, -10, 0, 10, -4],\n [-5, 7, -10, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1289", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -9, 2, 4, -9],\n [-9, 7, 9, 10, 10],\n [4, 3, 4, 5, 5],\n [-9, 8, 4, 1, -1],\n [-9, 4, 6, 7, 6],\n [9, -7, 5, -2, 0]]\nB =\n[[7, 3, -2, 1],\n [7, -10, 3, -5],\n [-4, 4, -9, 4],\n [10, -7, 0, 4],\n [6, -4, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[1, 4, 5, 8, 5, -9],\n [5, 5, -9, -3, 1, 3],\n [-2, 6, 4, -7, 2, -10],\n [-4, 5, 2, -9, 9, -4],\n [10, 2, -7, 1, 1, -4]]\nB =\n[[1, -10, 1, -6, 3],\n [3, 1, 8, 2, -9],\n [6, -5, 9, -10, 1],\n [-8, 9, -7, -5, 4],\n [-7, 0, 0, 0, -7],\n [-5, -9, -2, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -4, 7, 9],\n [7, -10, 9, -6],\n [9, -2, -7, -2],\n [2, -10, -5, -4],\n [2, 10, 6, 8],\n [-7, 10, 0, 2]]\nB =\n[[8, 10, -1, -10],\n [1, 1, 0, -3],\n [10, 10, -1, 9],\n [2, 5, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -7, -5, -7, -2, 4],\n [-2, -10, -2, -5, 9, 10],\n [0, -2, 10, -6, -2, -10],\n [1, 0, -6, 3, 6, 5],\n [-9, -7, 2, -8, -9, -4]]\nB =\n[[-7, 0, 6, 1, -5],\n [-10, 0, -7, -7, 8],\n [-8, 8, 0, 0, 0],\n [4, 2, 4, -7, -4],\n [-8, -7, 6, -8, -8],\n [10, -2, -3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 5, -6],\n [-6, 0, 5, -6],\n [-2, 6, 2, 1],\n [-2, 2, -10, -9],\n [-8, 9, 4, -7]]\nB =\n[[3, 6, -8, 9, -7, -8],\n [7, 3, -1, 9, 7, 8],\n [3, -1, 7, -9, -4, 0],\n [-5, -9, 6, -2, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1676", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-8, -2, -10, -8],\n [9, -8, -3, -10],\n [6, -8, -2, -4],\n [-9, 10, 8, -10],\n [-10, 8, 2, 1],\n [4, -7, 5, 4]]\nB =\n[[-6, 2, 2, -7, -10],\n [1, -5, 2, -7, 3],\n [9, -9, -3, -9, 2],\n [-2, -4, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -7, 1, 8, 2, -10],\n [5, 7, 10, -4, 9, 9],\n [1, 1, 5, 10, -2, -6],\n [7, 5, 10, -10, 7, 10],\n [-10, 2, 7, -8, 7, 9],\n [2, -5, 9, 8, 3, 10]]\nB =\n[[5, -10, -4, -4, 1, -10],\n [8, -8, 3, 9, -6, 6],\n [-9, -3, -7, 10, -6, 0],\n [1, -8, -9, 7, 9, -8],\n [6, -5, -7, 1, 10, 0],\n [-6, -4, -5, -1, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 0, 4, -9],\n [5, -6, 3, -2],\n [-8, -6, 7, 0],\n [-10, 9, -2, 8],\n [-1, 5, 3, -1],\n [0, 4, -3, -3]]\nB =\n[[7, -1, 4, 8, 5],\n [8, -3, -5, 4, 8],\n [-6, -4, -6, 10, 5],\n [10, 7, -4, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-478", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 5, -1, -10],\n [2, 4, 2, 6, -2],\n [-9, -1, -7, -8, -2],\n [8, -6, 0, 0, -9]]\nB =\n[[-4, -9, -9, 8, -3],\n [-7, 2, 7, 9, -10],\n [-2, -4, 1, 8, -4],\n [10, 6, -10, 9, 7],\n [10, -7, 7, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[7, 5, 2, -5, -5],\n [1, -6, 5, -10, 8],\n [7, 7, 9, 7, 6],\n [1, 0, 5, 10, -2],\n [-7, 8, -4, 0, -3],\n [1, -1, -10, 3, -4]]\nB =\n[[-8, 5, 6, 4],\n [10, 7, -6, -7],\n [-6, 9, 0, -1],\n [9, -5, -8, 1],\n [7, 6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -6, 9, -10, -1],\n [7, -1, 0, 0, -1],\n [6, -7, 4, -7, -2],\n [-4, -3, -5, -2, 2],\n [5, -5, -10, 4, 3]]\nB =\n[[7, -6, 2, -2, 5, -3],\n [-10, 0, -7, 3, -2, 7],\n [10, -7, -3, -6, -7, 1],\n [6, -9, -3, -10, 0, 2],\n [-3, -9, -2, 1, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -2, 10, -1, -1],\n [6, 2, -5, 7, -1],\n [5, 1, 4, 7, 4],\n [1, -3, -3, -4, 10],\n [-4, 1, -6, 10, 1]]\nB =\n[[-10, 4, 5, -5, 9, -2],\n [7, 9, 0, -1, -3, 1],\n [-7, 9, 8, -4, 5, 0],\n [7, -6, -10, 3, -5, -2],\n [6, -6, -1, 0, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-9, 9, -1, 3, 1],\n [-5, 3, -1, 9, -5],\n [-1, 4, -6, 9, -9],\n [7, 6, -7, 1, -3]]\nB =\n[[10, -1, 3, 10, -1],\n [6, 7, -9, -6, 1],\n [-9, 9, 9, -4, 7],\n [-10, -2, 5, -3, 4],\n [-10, 9, -1, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -8, -9, 2, 1, 1],\n [3, 5, -8, -8, 5, -2],\n [3, 5, 4, 7, -3, 7],\n [4, -1, 5, 1, -4, 4],\n [-9, 8, 10, 4, -3, -9],\n [1, -9, 4, 3, 8, 8]]\nB =\n[[-6, 8, -5, -8, -5, -5],\n [4, -7, -9, 8, 8, -9],\n [-10, -6, 7, -7, -7, -3],\n [-8, 1, 6, 10, 8, 3],\n [-8, -1, 8, -8, 10, 6],\n [4, 4, 8, 4, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2617", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, -6, 6],\n [8, -3, 2, 8],\n [-7, 1, 9, -3],\n [-8, 3, 9, -5],\n [5, -1, -7, -3],\n [-10, 5, 4, -9]]\nB =\n[[-9, -5, -3, 9, 9],\n [2, -7, -9, -8, 3],\n [-1, -6, 0, 8, 7],\n [6, -4, 9, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, 8, -8],\n [4, 8, 4, -9],\n [4, 6, 9, 4],\n [-2, 7, 1, 5]]\nB =\n[[2, 5, 5, 1, 2],\n [4, 7, 9, 1, -3],\n [-4, -10, -6, 6, -3],\n [-1, 2, -5, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 10, 4, -2, -5, 0],\n [-1, -4, -6, 10, 2, 8],\n [-3, 1, 1, -7, 9, -3],\n [-2, 9, -5, 10, -10, 6]]\nB =\n[[-8, 0, -4, 10, -8],\n [-4, -7, 6, 6, -7],\n [-6, -6, -1, 6, -4],\n [-3, -4, -7, 10, 2],\n [8, 0, 7, 9, -3],\n [-9, -4, -10, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 1, 4, -2, -1],\n [-5, -7, -7, -5, -7],\n [3, 0, -9, -2, 3],\n [-1, -10, -5, 10, -3]]\nB =\n[[-6, 10, 9, -3, 0],\n [0, -7, 6, 5, 4],\n [-2, 3, -7, 0, -5],\n [-2, 10, 10, 0, -4],\n [-7, -3, 0, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "967", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[9, -3, 8, 9, -7, -7],\n [-6, 0, 3, 7, -1, -4],\n [-10, 10, -8, 6, -9, -4],\n [2, 2, 7, -2, -4, -3],\n [-2, -10, 4, 6, -7, -4]]\nB =\n[[1, 3, 1, -2],\n [-4, 7, -2, 7],\n [0, -9, 2, 6],\n [-10, 7, -6, 6],\n [-9, -3, 10, -3],\n [8, 9, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -3, 4, -3, -7, 6],\n [-4, -4, 1, 6, 7, 4],\n [9, -9, -10, -4, 7, -3],\n [-8, -6, -2, 1, 6, -1],\n [-2, -7, -8, -8, 3, 9]]\nB =\n[[-9, 6, -1, -3, 6],\n [-7, -8, 2, 4, -3],\n [-2, -9, 6, 7, 2],\n [-4, 2, -2, 2, 1],\n [-9, -7, -10, 1, 6],\n [-9, 6, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -8, -4, -6, 10, -8],\n [6, 0, -1, 3, 7, 4],\n [-10, -5, 5, 0, -5, -4],\n [5, -10, -7, 0, -9, 7],\n [9, 9, 8, 0, -3, -4],\n [-2, 6, -8, -5, 9, 1]]\nB =\n[[4, 4, -9, 8, -7],\n [-10, 9, -7, 2, 5],\n [4, -3, -10, 4, -6],\n [-6, -9, 3, 4, -6],\n [1, 3, -9, -1, -4],\n [2, 9, -6, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2235", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -10, 0, 4, 7, -10],\n [-10, 5, -4, -9, 2, 10],\n [5, -4, -3, 9, -6, 9],\n [0, 10, -5, -3, -5, 0]]\nB =\n[[5, -3, -3, -5],\n [-7, 1, 1, 2],\n [-6, 3, 7, -10],\n [-2, -2, -8, -1],\n [-6, -2, 3, -2],\n [4, -7, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1084", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -1, 8, -7, 0],\n [2, -5, 7, 10, -1],\n [-2, -1, 8, 6, 0],\n [-6, -2, 2, 3, -5],\n [10, 7, -7, -7, -8],\n [-8, 1, 2, 4, -5]]\nB =\n[[-1, -8, 3, -8, -8],\n [7, 4, 5, 0, 9],\n [-5, -4, -2, 6, -7],\n [-8, -5, 3, -8, 9],\n [5, 5, -7, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -6, 0, 0, 9, -4],\n [9, 9, 6, -8, -10, 8],\n [9, 10, 5, -8, 9, 10],\n [-3, 7, -6, -1, 10, 6],\n [-6, -8, -10, -1, -2, 10],\n [10, -4, 3, -8, 9, 7]]\nB =\n[[2, 1, 1, -1],\n [9, -8, -10, -8],\n [-1, -7, -8, 4],\n [-3, -1, -5, 4],\n [-6, 0, 8, -7],\n [10, -4, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[9, 8, -3, -2],\n [-4, 2, -2, -2],\n [-8, -5, -2, 10],\n [5, -7, 8, -7],\n [-5, 4, -9, -4]]\nB =\n[[0, -8, -5, 6, 7, -2],\n [-6, 7, 8, 10, 7, 3],\n [-5, 5, -4, 1, -6, -4],\n [0, 8, 0, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 7, -2, 8, -6, -5],\n [-1, 5, 3, -2, -3, -6],\n [5, 7, -2, 4, -7, 7],\n [-4, 8, 10, 6, 7, -5]]\nB =\n[[-1, 5, -10, -4],\n [10, 5, 2, -9],\n [-5, 3, 6, 4],\n [4, 4, 9, 4],\n [-2, -4, 3, 6],\n [-1, 7, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -8, -4, -9],\n [9, -2, -9, -7],\n [7, 9, 9, 3],\n [-2, -8, -5, 7],\n [3, 1, 6, 5]]\nB =\n[[1, 9, -9, 6, 2, 1],\n [1, -2, -5, 9, 3, -6],\n [-1, 4, 0, 6, 7, -8],\n [-1, 5, -8, -9, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -6, 1, -3, -2, -9],\n [6, 0, -1, -1, -2, -1],\n [0, 9, 7, 6, 10, -5],\n [-4, -2, -6, -4, 0, -9]]\nB =\n[[-7, 9, -5, -7, 9],\n [-1, 8, 2, -7, -2],\n [-2, -5, 0, 2, -1],\n [1, 1, 5, -6, -6],\n [-9, 9, 10, 3, -8],\n [-7, 2, -10, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -6, -8, -6, 9],\n [-6, -3, 10, 0, 6, 1],\n [-10, 5, -3, 1, -3, 6],\n [2, -2, -10, 10, 6, -5],\n [2, 5, -10, 9, 7, -5]]\nB =\n[[-4, 8, 7, 8, -9, -3],\n [-6, -3, -6, -6, 6, -9],\n [4, -7, -1, 9, 6, 5],\n [-1, 6, -8, 5, 5, -9],\n [-10, 9, -4, 10, -2, -2],\n [10, -8, -6, -7, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -5, 6, -7, -10, 1],\n [6, -6, -3, 7, 8, -6],\n [-2, -2, 7, -2, -2, 4],\n [5, -8, -6, 3, 1, 7],\n [-3, 8, -10, -1, 9, -9],\n [-10, 4, 1, -7, -10, -1]]\nB =\n[[-7, 1, 10, -2, 5, -9],\n [3, -3, 5, -8, 4, 3],\n [5, -5, -4, -6, -3, -6],\n [7, 9, 8, -7, -5, 0],\n [4, 1, -10, -7, 10, 4],\n [-4, -8, -1, 0, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2371", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -9, -7, -2],\n [-10, 3, 7, 0],\n [-3, -5, -3, -8],\n [-10, 7, -5, 8],\n [-6, -5, -3, -6],\n [8, 7, -1, 6]]\nB =\n[[-10, 9, -8, 6, 2],\n [-4, -9, 6, -8, 4],\n [4, -10, 6, 6, 9],\n [8, -8, -4, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[2, 9, -5, -4],\n [4, 1, -2, 9],\n [-5, -10, 1, -3],\n [-3, 8, 8, -1],\n [5, -5, 3, 8]]\nB =\n[[-3, 10, 2, 8, -5],\n [9, -3, 3, 2, -4],\n [-10, 3, -2, 6, -5],\n [-5, -7, -5, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 1, -4, 10, -4],\n [0, 2, 10, -3, 3],\n [7, -5, 2, -4, 7],\n [-5, -4, -9, -4, -10],\n [0, 6, 0, 0, -10],\n [0, -5, -2, -8, -1]]\nB =\n[[-5, 10, 6, -1, 4, -7],\n [-9, 9, 0, 3, 5, -5],\n [-1, 0, -8, 8, -6, 6],\n [8, 4, 0, -7, -9, -7],\n [6, -1, -2, 3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -9, 2, -5, -8, -6],\n [1, 2, 1, 8, -10, -9],\n [-9, 1, 7, 0, -1, 7],\n [-6, 0, 3, -10, 10, 2]]\nB =\n[[6, -5, -2, -3, -4, -2],\n [10, 1, -7, -9, -10, -5],\n [6, 8, 5, -1, 9, -2],\n [-5, 3, 4, -5, -1, -9],\n [-8, -3, 1, -4, 5, 3],\n [-2, -8, -6, 9, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 3, 10],\n [10, -2, -4, -7],\n [-1, 5, 5, -1],\n [1, -4, 5, 7],\n [-3, -9, 8, 6]]\nB =\n[[-4, 3, -4, -9],\n [-9, 1, 8, -3],\n [10, 1, -10, -10],\n [-10, -5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, 8, 5, 8, 9],\n [-6, 0, -10, 7, -6, -8],\n [-10, 1, -8, 0, 2, -10],\n [-7, 8, 0, 2, -1, -2]]\nB =\n[[9, -1, 9, -6, 5, 8],\n [5, -3, 10, 0, -10, 2],\n [-10, -4, 0, -3, 0, -1],\n [-1, 4, 0, -2, -5, -8],\n [-2, -6, -8, 6, 7, 1],\n [-4, 2, 8, -4, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-539", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, 7, 8, 3],\n [-3, -3, -6, 6, 9],\n [0, 0, 5, 3, -1],\n [1, -8, -1, -2, -7],\n [0, -8, -10, -4, 9]]\nB =\n[[-8, 1, -6, -5, 3],\n [-8, -2, -8, -7, -4],\n [-9, 7, -9, -7, 9],\n [2, -8, -2, -5, -10],\n [5, 7, 8, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 6, -5, 10],\n [-3, -10, 7, -3],\n [-3, 4, 1, 3],\n [7, 3, 6, -6],\n [6, 4, -4, 4],\n [2, -2, -9, 7]]\nB =\n[[-5, 4, -7, -4, -10],\n [9, 9, 6, -4, 5],\n [-1, -8, 1, -8, -7],\n [1, -9, 0, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-8, 9, -1, -9],\n [2, 9, -2, -7],\n [-7, 0, 9, 6],\n [-3, 9, 4, -10]]\nB =\n[[-5, -6, -9, 2, 10, -7],\n [4, -9, 9, -6, 3, 8],\n [6, 3, 1, -6, -4, 10],\n [-10, -1, 7, -6, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 10, -1, 1],\n [0, -7, 2, -2],\n [6, -5, -8, -3],\n [-7, -10, 0, -2],\n [0, 7, 2, -10]]\nB =\n[[-9, -5, 2, -1, -5],\n [8, -8, 5, -10, 1],\n [-1, 3, 8, -8, -4],\n [10, 2, 5, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-1, 9, 0, -9, 5, -6],\n [1, 1, 3, -6, 2, 10],\n [0, -10, 7, -3, -10, -3],\n [2, -2, -7, -2, 1, 2],\n [-9, -1, -8, -5, 3, -1],\n [-2, -6, 1, -7, -9, 5]]\nB =\n[[-5, -4, 9, -5],\n [2, 8, 9, -4],\n [-10, -6, -3, 4],\n [-7, 3, 4, -3],\n [1, -4, -8, -9],\n [-3, 2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 0, 0, 1, 5, 10],\n [-7, 3, -6, 1, 5, 10],\n [4, -9, 3, 8, -9, 10],\n [2, 1, -9, 1, 0, -2]]\nB =\n[[7, 0, -2, 7, -6],\n [8, 7, -4, 9, 10],\n [5, 10, 1, 9, -1],\n [2, 3, -4, 10, -7],\n [9, -6, -8, 5, 10],\n [0, -2, 3, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-754", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 10, -1, 5],\n [-9, 2, 1, 1],\n [7, 8, 10, -5],\n [-10, -9, -1, 6],\n [-10, -9, 6, 5],\n [8, 9, -8, -5]]\nB =\n[[-5, -10, -4, 10],\n [5, 7, -2, 4],\n [-1, 9, -10, 4],\n [10, 6, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 5, 5, -7],\n [-5, -10, 1, 5],\n [-4, -2, -2, -4],\n [-4, -3, 5, 7]]\nB =\n[[0, 10, -4, -1, -7],\n [6, 6, 3, -1, -5],\n [1, 1, 6, 0, -2],\n [9, -6, -9, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -4, 4],\n [-3, -3, -5, -9],\n [-4, 2, -3, -3],\n [-2, -2, -8, 8]]\nB =\n[[9, -5, 2, -6, 3, -7],\n [-2, 0, -3, 3, 10, 7],\n [-7, -5, -5, -9, 8, 7],\n [-8, 4, 3, -10, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1186", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 0, -2, 1],\n [-7, -5, 2, 2],\n [3, 6, 0, 5],\n [-8, -8, -2, 1],\n [2, -2, -9, -2],\n [-8, 9, -6, 6]]\nB =\n[[9, -4, 4, -10, -10],\n [10, 8, 3, 3, 10],\n [8, 7, -10, 4, 9],\n [-5, 3, 6, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 8, 6, 1],\n [-8, -1, 2, -6],\n [7, 7, -4, -2],\n [4, 6, -5, 9],\n [-3, 8, 4, 0],\n [4, -3, 9, -6]]\nB =\n[[10, -8, 0, 9],\n [-4, -10, 3, 8],\n [-3, 1, -6, -6],\n [8, -5, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -10, 4, 3, 6],\n [-2, -10, 5, -9, 8],\n [-8, 8, -8, -1, 1],\n [7, -2, 4, -10, 3]]\nB =\n[[2, 2, -2, 0, -2],\n [-7, -4, 6, 0, -1],\n [-8, 1, -4, -10, 0],\n [-8, 7, 3, 5, -9],\n [9, -1, -7, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -5, 3, -9, 10, -3],\n [2, 3, 2, -3, -9, -7],\n [1, 5, 3, -1, -2, -9],\n [-3, 2, -5, -1, -7, 4]]\nB =\n[[10, -9, 2, -4, -8, -9],\n [7, 10, -6, -3, 9, 1],\n [-9, 4, -6, 0, -5, -5],\n [5, 0, -8, 8, -1, -5],\n [3, -7, 4, -9, 2, 4],\n [3, 10, 9, -1, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, 2, -4, 6],\n [-4, -8, -7, 5, -5],\n [3, 4, 8, 3, 0],\n [2, 1, -7, 0, -4],\n [-9, 9, 2, 1, 4],\n [1, -2, -3, -5, 0]]\nB =\n[[7, -6, -3, 3, -8, 0],\n [4, 3, -4, 5, 5, 0],\n [-4, -7, 6, 9, -7, -3],\n [2, 3, 4, 5, 9, -4],\n [5, -1, -9, -8, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -8, -10, 1, 4, 7],\n [-7, 4, -3, -10, -6, -3],\n [-2, 10, -7, 1, 1, -5],\n [-3, 2, -7, 7, -5, -7],\n [1, -7, 7, -9, -1, 8],\n [0, 10, 5, 7, 0, 6]]\nB =\n[[1, -4, -3, 1],\n [5, 10, -7, 4],\n [1, 7, -1, -9],\n [7, 10, -8, 9],\n [-5, -10, 7, -7],\n [-3, -8, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -8, -10, -1, -5, 2],\n [-2, -8, -9, 0, -9, -3],\n [-8, 1, -1, -4, -2, -8],\n [9, 5, -10, -4, -8, -10],\n [9, -6, 3, 1, 9, 7]]\nB =\n[[2, -10, -7, -6, 3, -3],\n [-6, 7, 4, -1, 4, 0],\n [8, 5, -6, -4, 9, -10],\n [-1, -4, -9, 7, 7, -10],\n [2, 0, 5, 6, -5, 7],\n [3, -1, 8, -8, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1837", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -2, 6, -6, -1],\n [-10, 6, 2, -4, -7],\n [8, -4, 0, -10, -1],\n [6, 7, -3, -8, -2],\n [7, -3, -8, 10, -1],\n [9, 8, -9, 0, -5]]\nB =\n[[-6, 4, 6, 4, -2, -5],\n [-3, 4, -8, -8, -3, -8],\n [1, -1, 0, 3, 6, 7],\n [6, 3, -7, -4, -10, 5],\n [7, 4, 8, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[4, -6, -8, 3, -10],\n [-3, 8, 3, 0, -8],\n [-4, 1, 6, 5, 5],\n [7, 2, -9, -3, 0],\n [-7, -7, -8, -3, -8]]\nB =\n[[9, -6, 4, -3, 0],\n [1, 7, 0, 1, 7],\n [-5, 0, 4, 8, 8],\n [-4, 5, 2, 0, 4],\n [0, -8, 0, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 1, -8],\n [3, -9, 8, -1],\n [10, 9, -5, 8],\n [-8, 9, -6, 7],\n [-2, 8, -3, -6]]\nB =\n[[2, 0, -8, 4, -7, -6],\n [6, -6, -2, 0, 8, -5],\n [8, -6, 5, -7, 7, -2],\n [0, -4, 0, -3, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -3, -8, 7, 5],\n [-4, 6, -9, 8, -3],\n [-9, 4, 5, -6, -5],\n [-6, 8, 8, 5, -1],\n [0, 5, 2, 0, -6]]\nB =\n[[-3, 3, -9, 5],\n [8, -4, 0, -10],\n [-8, -1, 10, -4],\n [-8, 5, 6, -5],\n [-8, -9, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-10, -6, 9, -6, 1],\n [6, -3, 5, -3, -10],\n [8, 6, -4, 5, -9],\n [-6, 7, 6, -6, -4],\n [-2, -10, 1, 1, 2],\n [-6, -1, 0, 7, 10]]\nB =\n[[1, 9, 4, 5, -5, 7],\n [7, -9, 3, -2, -10, -10],\n [-1, -10, -5, 3, -4, -8],\n [-10, 0, 10, 6, 7, -2],\n [-7, 6, 6, 2, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[6, -10, -5, -3, -2],\n [2, -7, 0, 2, -3],\n [4, 9, 4, 7, -5],\n [3, -5, -2, 6, 3]]\nB =\n[[2, -2, -6, -6, 5],\n [-4, -10, 4, 4, -1],\n [-8, -1, -5, 7, -7],\n [-5, -6, 6, -6, 3],\n [2, 10, 3, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -9, -7, 4, -6, 1],\n [4, -8, 9, -1, -5, -5],\n [3, -6, 10, -2, 6, 6],\n [-3, 5, -6, 0, 9, -10],\n [8, 4, 2, -9, 5, 1],\n [5, 3, -4, -5, -2, 7]]\nB =\n[[0, -8, 4, -6, 3, 5],\n [8, 1, 4, -10, -1, 3],\n [-4, -9, 1, 8, 4, -7],\n [7, 4, -8, -2, 8, -8],\n [6, 3, -7, 10, -1, -7],\n [-1, -2, 0, 0, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2370", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 6, -5, -5, -9],\n [9, -8, -6, 9, -8],\n [3, 2, -5, 10, 10],\n [-6, 6, -7, 6, -4],\n [6, 1, 3, -1, 8]]\nB =\n[[4, 1, -9, 6, -6],\n [0, 1, 3, -9, -3],\n [8, -7, -8, 5, 6],\n [8, -5, 2, -1, 5],\n [-6, 1, 3, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 2, 9, -6, 4, -1],\n [4, -10, 0, 5, 4, 6],\n [-5, 8, 4, 8, 5, 7],\n [-1, -1, 6, -5, -1, 7],\n [7, 0, 2, -4, -8, 10]]\nB =\n[[3, -8, -10, 5, -7, -3],\n [-2, -1, -2, 1, 2, 2],\n [7, -3, -6, -7, -6, -4],\n [8, -6, -3, -3, 1, 0],\n [6, -10, -7, 3, -5, 8],\n [-2, -3, -9, 7, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1869", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 3, 3, -2],\n [-9, -7, 10, 4],\n [-10, -3, 7, 1],\n [8, -3, 2, -9],\n [4, -7, -9, 1],\n [-7, -5, 2, -5]]\nB =\n[[3, 1, -4, -8, 6, -5],\n [-3, 5, 6, 9, -5, 3],\n [-2, 9, 0, -10, -10, -1],\n [-2, 4, 5, -4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1758", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -6, -3, 9, -1, -8],\n [0, -1, -9, 3, -1, -5],\n [-2, 4, 6, 2, 0, -1],\n [6, 8, 7, 9, -4, 7],\n [-7, 8, -10, 10, -2, -9]]\nB =\n[[-4, -5, 3, 7, 8, 6],\n [-8, 7, 3, -8, 4, 0],\n [9, 8, 7, 1, 1, -4],\n [-8, 2, 4, 1, -4, 3],\n [-5, -5, -9, -4, 1, -10],\n [-8, 0, 10, -1, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -5, 0, -4, 9],\n [-7, -6, -6, -5, 3, -4],\n [-1, 10, -6, 0, 1, -4],\n [-5, -2, 1, 3, -3, 4],\n [-5, 0, -3, -1, -1, 0]]\nB =\n[[0, 2, 1, -5, 8],\n [8, -9, 4, 9, 7],\n [-5, -7, -9, 2, 3],\n [-2, -3, 1, 9, 2],\n [-3, -7, 10, 6, 9],\n [-8, 4, 7, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-4, 7, -2, -6, 9, -4],\n [0, -6, 9, 3, 0, 2],\n [6, -9, -5, -5, 1, 3],\n [7, 7, 3, -10, 10, -2],\n [4, 1, 2, 5, -9, 1],\n [-6, -4, 5, -6, -4, 1]]\nB =\n[[1, -7, 1, -10, -7],\n [4, -7, 1, -8, -6],\n [5, -4, 4, 5, 4],\n [-2, 6, 3, 7, 3],\n [-7, 1, -2, 5, 10],\n [-5, -4, 2, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 8, -6, -2, 10],\n [9, 1, 5, -8, 6],\n [1, 5, 0, 8, 7],\n [-6, -10, 1, -5, 2]]\nB =\n[[-10, 2, -5, 4, -9, -8],\n [-4, 1, 10, 10, -2, 10],\n [-5, 9, -9, -1, -10, -6],\n [8, 0, -2, -5, -9, -5],\n [-5, -10, -4, 0, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-570", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-8, -8, 4, -5, 1],\n [3, 4, -7, -9, 0],\n [-1, -4, 5, -10, 5],\n [8, 10, -5, 10, -10],\n [5, 3, -5, -10, 4],\n [-4, -4, 8, 6, -7]]\nB =\n[[0, -7, 8, -4, -4, -1],\n [7, -4, -9, -9, 8, 2],\n [-7, 6, 6, 10, -3, -10],\n [10, 7, 9, 5, 2, -3],\n [7, 1, 5, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -1, -7, -6, -8],\n [-8, -2, -4, -2, -5, -7],\n [6, 3, 5, -6, 4, 6],\n [5, -7, 0, -2, 7, -5],\n [-4, -5, -10, -1, -8, 2]]\nB =\n[[2, 5, 5, -3],\n [8, 0, 1, 9],\n [-5, 2, 5, 7],\n [-7, -3, -6, 0],\n [7, 1, 2, 6],\n [-3, -3, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1055", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 1, 6],\n [5, 8, 9, -5],\n [-2, 10, 7, 5],\n [6, -5, 9, 5],\n [8, -8, 9, -3],\n [5, 10, -3, 8]]\nB =\n[[-4, -5, -1, -8],\n [-3, 9, -1, -10],\n [-7, 7, 2, -8],\n [-9, 5, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[3, -6, -9, 3],\n [4, -5, 9, -5],\n [5, 0, 3, 8],\n [1, -3, 3, -4]]\nB =\n[[10, -7, -4, 2, 6, 9],\n [-9, -6, -6, 0, 9, 1],\n [5, 4, -6, -10, 8, -2],\n [-6, 0, 1, 10, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 3, 8, 4, -4, 3],\n [-1, 6, 6, -9, 1, 1],\n [-2, 9, -8, 6, 9, 7],\n [-1, 9, -1, 6, 6, -9],\n [-10, 4, -10, -2, 5, 9]]\nB =\n[[8, -9, 0, -9, 7],\n [5, 4, 9, 2, 0],\n [-9, -9, -9, 2, 8],\n [9, -2, 10, -8, -4],\n [1, 4, 9, -8, 5],\n [-1, -5, 5, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[2, 1, -9, 0, 2, -9],\n [6, 6, -8, -1, 3, -7],\n [-3, -10, -8, 1, -7, 7],\n [4, -9, 7, -7, -9, 1],\n [9, -5, 9, 10, -8, 9],\n [-1, -1, 10, -3, 8, 0]]\nB =\n[[-5, -10, 3, 10],\n [1, 4, 0, -6],\n [-10, 4, 6, 4],\n [9, 5, -10, 4],\n [8, -5, 6, -10],\n [-1, -9, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, -5, 7, 8],\n [4, -1, 4, 2],\n [9, -3, 2, -10],\n [9, 9, -6, 5],\n [8, -3, -5, 2]]\nB =\n[[-2, -1, -3, 6, -4],\n [-9, 8, 6, -10, 7],\n [-5, 10, -1, -9, 2],\n [-4, 0, 3, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -6, -8, -1, 2, 2],\n [3, -6, 3, 8, 2, -5],\n [6, 10, 5, 6, -4, -3],\n [9, -7, 3, 8, 8, 5]]\nB =\n[[2, 1, 0, -7, 1],\n [9, -6, 0, 2, -2],\n [1, -7, -5, 10, 3],\n [-9, 2, 4, -4, -8],\n [-3, 2, -10, -9, -7],\n [6, 9, 7, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1319", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 6) of the result:\nA =\n[[7, 5, -3, 1],\n [3, 0, 9, -10],\n [-7, 8, 1, 3],\n [9, 9, 7, -5],\n [2, -2, 3, -9],\n [-3, 10, -5, -4]]\nB =\n[[-8, 4, -7, 10, 6, 5],\n [4, 2, -2, 2, -10, -8],\n [-3, 3, -2, -1, -3, -10],\n [1, -3, -5, -6, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 9, -8, -6, -1, 5],\n [4, 0, -9, 8, 7, 5],\n [7, -3, 6, -3, -5, -3],\n [-8, -3, -2, 9, 7, 10]]\nB =\n[[-10, 9, 6, 8, 4],\n [5, 7, 6, -5, 4],\n [-1, -4, 8, 4, 2],\n [9, -1, 4, 8, 0],\n [4, 6, 2, -4, -8],\n [8, 0, 2, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[9, -9, 7, 6, -10, -10],\n [4, 2, 5, -8, 2, 10],\n [-5, -7, 1, -7, -8, -4],\n [8, -6, 8, -9, 5, 9],\n [6, -8, 10, 3, 1, 8],\n [-2, 6, 0, -7, -4, 8]]\nB =\n[[-1, -10, -1, 3],\n [2, -2, 5, 0],\n [-1, 5, 7, 6],\n [-7, 0, 3, -7],\n [6, -10, 4, 10],\n [3, -1, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, -9, 8, 9],\n [6, 3, -3, -10, 9],\n [4, -1, 5, 1, -8],\n [-3, 6, 9, 10, -7],\n [-7, -7, -3, -7, 2],\n [10, 7, -9, 2, 0]]\nB =\n[[7, 9, -7, 1],\n [-5, 10, 5, 9],\n [-2, -2, 2, 1],\n [5, 7, 10, -3],\n [10, 5, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1952", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 4, 6, -1],\n [4, 9, 9, -8],\n [-9, 6, 3, 10],\n [4, -10, 3, -10],\n [-5, -5, -3, -9],\n [-4, 6, -10, 9]]\nB =\n[[-2, 4, -8, -10, 8, 6],\n [10, -5, 5, 2, 8, 2],\n [-2, 0, 6, 7, -6, -6],\n [1, -7, -7, 2, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 7, -2, 9, -2, 4],\n [1, -8, -5, -3, 2, 8],\n [3, -9, -5, 2, 0, 10],\n [6, -8, 2, 2, 8, -7],\n [5, -2, -7, -6, 1, -8],\n [5, -9, 1, 1, -10, -7]]\nB =\n[[5, -9, 1, 10],\n [-6, -4, -5, 0],\n [-4, 3, -10, 6],\n [-3, -4, -4, -1],\n [9, 0, -4, -3],\n [-6, 6, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1857", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 6, 10, -9],\n [7, -1, 10, 4],\n [2, -9, 4, -4],\n [3, 5, -2, -4],\n [7, 0, 0, 1]]\nB =\n[[2, -3, 8, 6, 2],\n [-5, 4, 0, -5, 9],\n [-8, -1, 4, 4, 3],\n [2, 5, -6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1095", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-9, 9, -1, 5, 2],\n [8, 0, -4, 8, -1],\n [0, 0, -4, 1, 5],\n [-1, -1, 4, -5, -4],\n [-7, -6, 4, 5, 9]]\nB =\n[[-3, 7, 2, -9, 4, -1],\n [-9, 0, 8, 2, 5, -7],\n [10, 10, 8, -10, 3, -7],\n [-2, 0, 1, 0, 10, 7],\n [-8, -8, 10, -6, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, -9, 6, 1],\n [-6, 4, 6, -2, 3],\n [1, -7, -8, 8, 8],\n [9, -7, 6, -8, -6],\n [7, 9, -4, 9, -5]]\nB =\n[[-4, 9, -4, -2, -3, -8],\n [4, -4, 10, 2, 7, -6],\n [-3, 2, -5, -3, 0, 8],\n [7, 1, 6, -1, -8, 10],\n [0, 8, 9, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[10, -4, 5, 8],\n [-10, 4, 4, 3],\n [-4, 3, -10, -7],\n [1, 4, -2, 6]]\nB =\n[[7, -2, 2, -8, 9],\n [-7, 0, 7, -4, -5],\n [9, 3, 9, -5, -9],\n [-2, 6, -6, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[6, 1, 9, -4],\n [7, 5, -10, 5],\n [-4, -6, 2, 4],\n [7, -5, -10, -1]]\nB =\n[[0, -2, 5, 10, 6],\n [1, 2, 7, 6, -6],\n [4, 1, -4, -3, 7],\n [2, 8, 10, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, 10, 2, -4, 0],\n [-1, -3, -5, 7, 7, 0],\n [-8, -7, -7, 9, 2, 4],\n [-4, 1, -8, 10, -2, -7]]\nB =\n[[-8, 0, 5, -4, 8, 9],\n [-2, 0, 10, 2, -6, -5],\n [-5, -3, 5, 8, 8, 8],\n [0, -10, -2, 8, 1, 7],\n [3, -3, -4, -6, -1, -4],\n [-2, -1, 0, 10, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 2, -10, -7],\n [-9, 1, -3, 5],\n [-8, 9, -2, -8],\n [4, 8, 9, 2],\n [7, 4, 7, 5]]\nB =\n[[4, 3, -3, 4, -8, -1],\n [6, 6, -10, 9, 9, -7],\n [2, -10, 3, -3, 0, -1],\n [-5, 10, 4, 7, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, 6, 7, 1, -6],\n [1, 2, -2, 8, -7, 2],\n [9, 0, 3, -9, 4, 0],\n [-4, -5, 7, -9, 9, -1]]\nB =\n[[5, 3, -3, -5],\n [9, -6, -9, -2],\n [-10, 10, 4, -4],\n [0, 3, 2, -4],\n [8, -10, -7, 1],\n [-6, -5, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 8, -9, -9],\n [3, 9, 6, 9],\n [-7, 3, 2, -4],\n [-9, -6, 6, 6],\n [-7, -7, -3, 1],\n [4, 3, -3, 8]]\nB =\n[[-5, 0, 5, 10],\n [0, 0, -5, 4],\n [7, -9, 5, -3],\n [-1, -9, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -9, -2, -5, 4, -10],\n [-7, -7, -4, -9, -7, -2],\n [-9, 3, 4, -3, 8, -5],\n [5, 6, -1, -1, 8, 10]]\nB =\n[[-6, 2, 3, -7, -3, 7],\n [3, 10, -3, 10, 0, 1],\n [8, -7, 10, -10, 1, 0],\n [-3, -3, -5, -5, 9, 4],\n [-7, 1, 2, -5, -8, 10],\n [-2, 10, 3, 2, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 10, -1, 9, 0, 8],\n [-6, 6, 10, -10, -3, 0],\n [-1, -8, -7, -7, -9, 9],\n [-2, 1, -3, -2, 9, 2],\n [-6, -9, -10, 8, -8, -9],\n [10, -4, -3, 0, 2, -6]]\nB =\n[[5, 6, -6, 10],\n [1, -2, -6, 0],\n [-2, -6, 5, 10],\n [-7, -6, -3, 4],\n [8, 4, -8, -4],\n [-2, -6, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1723", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -2, 9, 8],\n [4, 2, -4, 3],\n [2, -3, 9, 5],\n [5, 5, -4, 5],\n [7, 5, 8, -10],\n [1, 4, -2, 8]]\nB =\n[[8, 10, 3, -6, -3, -1],\n [10, -4, -4, -8, -9, -8],\n [-5, -5, 6, -1, -1, -10],\n [0, -4, 8, 5, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, 0, -1],\n [8, -7, -8, 2],\n [-9, 8, 2, -2],\n [2, -4, -9, -5]]\nB =\n[[0, -1, 5, -9, -2, -6],\n [3, 10, -6, -9, -9, -9],\n [5, -7, -4, 7, -6, -2],\n [-9, -6, 3, 9, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, -3, 10],\n [-5, 4, 0, -9],\n [-6, 9, 2, -5],\n [2, 10, -9, -10]]\nB =\n[[-5, 0, -1, -6],\n [10, -9, 6, -3],\n [4, -8, -5, 5],\n [-10, -7, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -5, -3, 3, -10],\n [3, -5, 5, -9, 2],\n [1, -5, -10, 10, -5],\n [-2, -3, 7, -4, 6],\n [-10, -4, -9, -5, -2]]\nB =\n[[3, 9, 3, 6, -6, 6],\n [9, 1, 9, -3, 0, -5],\n [0, -2, -8, 0, 1, -2],\n [9, 1, 8, 2, 0, 5],\n [9, -9, 10, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-10, -9, -7, 4, -1, -2],\n [-9, 6, -2, -2, 5, 9],\n [-9, 7, 6, -7, -6, -4],\n [-2, 4, 10, -8, -9, 1]]\nB =\n[[-8, 8, 7, -1, 9],\n [4, 5, 9, -2, -5],\n [-2, 4, -3, -5, -3],\n [7, -2, 5, -10, 5],\n [9, 2, 10, -4, 6],\n [-10, -6, 10, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 9, -4, -1, 9],\n [2, -10, 8, 2, 0],\n [9, 6, 1, 5, 2],\n [-1, -3, 0, 4, 8],\n [-7, -10, -1, 2, 3],\n [-8, -9, 7, -10, 6]]\nB =\n[[-7, -6, -8, -6, -10],\n [3, 7, 10, 1, -10],\n [-1, -4, 6, 1, -3],\n [-8, -5, 4, 0, -1],\n [0, 3, -1, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 1, -10, -10, 7],\n [-8, 8, -10, 1, -2],\n [10, -1, 0, 6, -3],\n [4, 10, 6, 2, -9],\n [8, -1, 4, -4, -2],\n [10, 6, -5, 10, -6]]\nB =\n[[-2, -1, 4, 7, 9],\n [-2, 2, 10, 6, 5],\n [-4, -3, 1, -9, -8],\n [10, 5, 9, 9, 2],\n [-3, -9, 4, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -1, -1, 7, 9],\n [9, -3, -4, -7, 10],\n [-5, 1, 1, -6, -8],\n [6, 6, -4, -5, -1],\n [1, 4, 2, 3, 2],\n [7, -2, 7, 5, -9]]\nB =\n[[8, -3, 2, 1, 4, -10],\n [-1, 8, -8, -9, 4, -5],\n [-4, 7, -7, -3, 8, -7],\n [8, 4, 2, 5, 5, 1],\n [-1, 1, -4, -3, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -3, 0, -7, 3],\n [-3, 4, 0, -8, 6],\n [1, -10, 7, 1, 8],\n [-6, 0, 8, 4, 9],\n [-9, -10, 10, -3, 2],\n [-8, 0, 1, 10, 1]]\nB =\n[[-1, 5, 9, 0, 0],\n [-1, 6, -8, -8, 7],\n [-6, -8, -8, -4, 1],\n [0, 2, -8, 10, -3],\n [3, 6, -3, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1558", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[0, 9, 8, 2, 5, -4],\n [1, -3, 0, 3, -7, 5],\n [6, 8, -3, -8, 9, -6],\n [10, -7, 1, 5, -8, -8],\n [0, -3, -8, 7, 6, 1]]\nB =\n[[-3, 3, 0, -1],\n [-10, 7, -10, -8],\n [4, 7, -9, -1],\n [7, -7, 2, 2],\n [-2, 2, -10, 4],\n [-10, 7, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, 9, 5],\n [8, 1, -7, -1],\n [3, -1, 0, 5],\n [-7, -7, -4, 6],\n [-2, 0, 1, -1]]\nB =\n[[1, -1, 6, 7],\n [6, -8, 0, 1],\n [7, -10, 1, 6],\n [5, -9, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -6, -6, -4, -5],\n [3, 4, 4, 10, 1],\n [-9, -1, -5, -4, -5],\n [7, -7, -2, -6, 4],\n [7, -8, 7, -6, -6]]\nB =\n[[-6, -7, -7, -4, 1, -4],\n [-4, -3, 0, -7, 8, -8],\n [-5, -8, -6, -10, -1, -10],\n [2, -7, -5, 1, 8, -2],\n [-3, 8, -7, 2, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-2, -5, -2, 6, 10],\n [-8, -4, 6, 0, 5],\n [6, 7, -2, -9, -4],\n [9, -5, 10, 7, 10],\n [-1, 2, -3, -10, 3],\n [10, -8, 3, 4, -9]]\nB =\n[[5, -5, 8, -8],\n [1, -9, -7, -9],\n [-5, -4, 9, -8],\n [-4, 5, -2, 7],\n [6, 5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 9, 9, -4],\n [-5, -9, 9, -4],\n [-9, 9, 8, 2],\n [6, 5, 8, -2]]\nB =\n[[7, -3, 6, 10, -5],\n [6, 10, 3, 4, 7],\n [-7, -9, -4, -3, 6],\n [1, 4, -1, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, 9, 7],\n [10, 5, 2, -2],\n [7, -3, 0, -8],\n [-10, 0, -3, -9],\n [1, -10, 2, -9]]\nB =\n[[-8, -8, -6, 7],\n [-8, 5, 7, 2],\n [0, -5, -3, 4],\n [8, 8, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-553", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -9, -10, 9, 10],\n [6, -4, 9, -7, -9],\n [10, -1, 6, 2, 10],\n [6, -1, 6, 5, -5],\n [-9, -6, 2, -5, 5]]\nB =\n[[6, -1, 9, 6, 2, -9],\n [-3, 2, -9, 7, 6, -3],\n [-9, -9, -1, 6, 1, -5],\n [8, -7, 8, -9, -10, -5],\n [-4, -5, -6, 1, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 4, 3, 5, 9],\n [-2, 5, 8, 6, 10, 8],\n [-7, 0, -2, -2, -6, -9],\n [10, -8, 4, 3, 0, 9],\n [1, -6, 4, -10, -10, -6],\n [8, -6, -2, -10, -9, -10]]\nB =\n[[9, -3, 8, 10],\n [10, -7, 2, 6],\n [3, -3, 9, 5],\n [-5, -4, 9, 10],\n [-9, 2, -8, 10],\n [6, -1, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, -1, 6],\n [2, -4, -7, 2],\n [8, 7, -9, 3],\n [-1, -5, -6, -4],\n [-2, -2, 1, -6]]\nB =\n[[10, 5, 7, -9],\n [-1, -6, 8, 5],\n [-8, 10, 2, -1],\n [1, 1, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -9, -8, -1, -7, 5],\n [6, -3, -8, -9, -10, -4],\n [-7, 5, 0, 1, -4, -2],\n [7, -10, 6, 9, -3, -1],\n [-4, 4, 2, -8, 6, -8],\n [2, -2, -7, 10, 2, 10]]\nB =\n[[-6, -4, 10, 3],\n [1, 6, 7, 9],\n [6, 10, -2, -3],\n [-7, -5, 8, -3],\n [-6, 6, -1, -2],\n [-2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-494", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 7, 1, -7, 5, 8],\n [2, -2, -7, -3, -1, -7],\n [1, 5, 10, -4, 9, 6],\n [-4, -5, 6, -4, 6, 0]]\nB =\n[[-8, -8, 6, -2, -1],\n [-2, 5, 2, 0, -5],\n [6, -4, 6, -4, 2],\n [9, -3, 2, -5, -6],\n [-7, -4, 7, -10, 9],\n [5, 2, 9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, -2, 1, 0, 1, -3],\n [9, 3, 0, 3, -4, -10],\n [1, 3, -3, -8, -8, 1],\n [10, -2, 5, 0, 4, -5],\n [5, 7, 7, -8, -2, 4]]\nB =\n[[3, 4, -10, 4],\n [10, 2, 5, 4],\n [9, -9, 3, 8],\n [-5, -3, -8, -1],\n [5, 10, -10, 0],\n [4, 10, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -9, -8, -9, -4],\n [6, 1, 4, 1, 1],\n [3, -1, 2, 8, 10],\n [1, -7, -3, -8, -4]]\nB =\n[[-5, -7, 1, -3, -4],\n [-6, 4, 3, -7, 10],\n [1, 2, -4, 1, -6],\n [6, -5, -1, 7, -1],\n [-1, 6, 6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 0, -1, 0, -3, -4],\n [2, -5, 0, -3, 3, 3],\n [-1, -1, -10, -3, 5, 5],\n [-6, 2, 4, -4, -10, 8],\n [3, -3, -3, 9, -3, 3],\n [-6, 3, -1, 6, -4, -6]]\nB =\n[[-1, -9, -1, -2, -4, -6],\n [-10, 1, 0, 2, 7, -4],\n [-5, 7, 9, 6, -6, -6],\n [8, 0, 5, 10, 1, 7],\n [3, 3, 6, 0, 0, 1],\n [-2, 10, -3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 9, 9, 5, 6],\n [4, 7, 8, -9, 10],\n [-7, 0, -10, -6, 1],\n [5, 8, -2, -8, -4]]\nB =\n[[-4, -5, 5, 8, -1, 2],\n [-5, 3, -3, -7, 2, 5],\n [9, -1, -6, 8, 3, -1],\n [9, 7, 1, -2, 3, 4],\n [-9, -5, -5, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -10, 3, 4, 4, -7],\n [-9, 1, -1, 3, -10, -5],\n [5, 6, -5, -3, -9, -9],\n [-4, 7, -8, 8, -4, -5],\n [6, 10, -10, -4, -9, -1]]\nB =\n[[9, 4, -5, -1],\n [-4, -4, 9, 1],\n [10, 1, 10, 2],\n [4, -6, -8, 8],\n [-8, 6, 3, 6],\n [5, 7, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1253", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -4, -1, 0, 2],\n [-7, -9, -6, -4, -10, -6],\n [-3, -9, 6, 8, 0, -5],\n [8, 7, 0, 4, -3, -8],\n [9, -10, -6, -7, 9, -6],\n [-8, -9, -1, 2, 6, -7]]\nB =\n[[8, 1, -10, -10, -5],\n [-4, -1, 4, 7, -8],\n [9, -4, -2, -9, 1],\n [0, -9, 0, 4, 10],\n [9, -7, -4, 10, 0],\n [-10, -6, 10, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-7, 4, 0, -7],\n [7, 4, 6, 0],\n [4, -10, -3, -3],\n [0, -4, -4, -5],\n [4, 5, -1, 0],\n [0, 10, 7, -3]]\nB =\n[[1, -5, -2, 9, -9, 0],\n [0, -8, -1, 5, 10, 7],\n [-9, -5, 0, 6, -2, -7],\n [-9, -6, -10, 1, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, -6, 4, 10, 9],\n [7, -6, 7, -4, -6, -4],\n [1, -5, -2, 5, -3, -5],\n [8, -2, 3, 7, 1, 1],\n [-5, -7, -10, 9, -3, -3]]\nB =\n[[1, -2, -1, 9],\n [-7, -7, -1, -4],\n [1, 5, -10, -6],\n [6, -9, -5, 3],\n [-4, -8, -2, 9],\n [5, -10, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[10, -6, -8, 8, -2, -5],\n [1, -8, 4, -9, 5, -5],\n [5, -3, -2, 3, -7, 7],\n [8, -1, -3, 3, 10, -4],\n [-2, 2, 0, 4, 6, 3]]\nB =\n[[-2, -3, 2, -7, 0, -10],\n [8, 5, 0, 9, 10, 2],\n [-6, -2, -8, 10, 2, -3],\n [-7, 2, -9, -4, -9, 10],\n [-9, 0, -8, -2, -4, 6],\n [6, 5, -5, 1, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, 3, -7, -6],\n [-5, -6, 10, -2, -5],\n [-1, -4, -3, 0, 5],\n [3, 7, 8, -9, 1],\n [7, -9, -10, 5, 0],\n [5, 3, 5, -9, 0]]\nB =\n[[2, -7, 6, -5, 5],\n [10, 8, -3, -2, 5],\n [0, 9, 7, 1, 3],\n [-4, -7, -9, 1, -9],\n [2, -8, 8, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[4, -5, -4, 7, 1, 0],\n [-10, -1, -10, 9, -7, -6],\n [4, 0, 3, -4, 3, -4],\n [-9, 2, 2, -4, 4, 0],\n [-6, 5, -9, 0, 5, -7],\n [-7, 4, 2, -10, -2, 10]]\nB =\n[[8, 1, -10, 6, 2, -3],\n [8, 5, -8, -6, -3, -5],\n [-7, 3, 1, 1, -4, -2],\n [9, 3, -6, 0, -9, -4],\n [-8, 9, 4, -4, 8, -7],\n [8, -3, -5, 1, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -10, 4, -2],\n [-8, 2, 2, -6],\n [-7, 3, -1, 1],\n [9, 9, 8, -4],\n [3, -8, -7, -1]]\nB =\n[[8, -6, 6, -4],\n [-10, -1, 9, 10],\n [-9, -3, 10, 10],\n [-7, -4, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1592", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 6, -10, 9, 9, 10],\n [4, -7, 2, 7, -7, -9],\n [-9, -6, 9, 10, 2, -9],\n [10, -7, -9, 6, -5, -7],\n [10, 3, 9, 2, -4, 2]]\nB =\n[[3, 3, -5, 9, 9, 2],\n [8, 10, 4, -1, 9, -2],\n [2, 3, -7, 8, 0, 4],\n [-10, -1, 5, -10, 6, 4],\n [-3, -3, 8, 10, 0, -4],\n [-6, -5, 6, 6, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, -9, 5, 3, 8],\n [-5, 2, -4, 0, 4, 10],\n [-6, 7, 7, -2, -8, 7],\n [-5, -3, 6, 2, -10, 10],\n [4, 5, 3, 0, 10, 4],\n [6, -5, -1, -3, 8, 9]]\nB =\n[[2, -7, 6, 6, 6, -4],\n [3, 3, -1, 9, -7, 1],\n [7, 0, 6, 5, -4, -9],\n [2, -7, 2, 7, 2, -6],\n [5, -6, 0, -10, 5, 6],\n [0, 3, -7, 0, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "804", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 5, -7, -10, -1],\n [-6, 9, 0, -8, -10],\n [-2, 5, 6, 9, -8],\n [-10, 8, -6, 4, 1],\n [2, 9, -1, 8, 8],\n [9, -10, 8, -4, -2]]\nB =\n[[-10, 0, 8, 9, -8],\n [-4, 7, 1, 2, 5],\n [-7, -1, 8, -4, 8],\n [5, 10, 2, 3, -10],\n [-4, 2, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[-2, 9, 5, 6, -8],\n [2, -9, -3, -1, 3],\n [-9, 6, -7, 1, 0],\n [-9, -3, 4, 8, 8]]\nB =\n[[-2, 4, -2, 1, 8, 10],\n [-6, 1, -8, -8, 7, 8],\n [6, -9, 6, -7, 0, 10],\n [-6, -9, 10, -5, -4, -9],\n [-10, 0, 0, 9, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, 6, -3, -7],\n [10, 10, 2, -3, 0],\n [10, 5, 1, 6, -10],\n [5, 10, 8, 3, -7]]\nB =\n[[7, -1, 3, 9, 9, -5],\n [10, 1, 0, 3, -7, 8],\n [-5, 3, 1, -10, 5, 9],\n [5, 7, -1, -7, -3, 7],\n [-5, 9, 0, -2, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "995", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -6, -8, -9],\n [0, -9, 2, 0, -9],\n [-3, -3, -3, -1, -7],\n [-5, 0, 4, -3, -5],\n [-4, -10, -9, -8, 8]]\nB =\n[[1, 8, -3, 5, 1],\n [7, 8, -2, -3, -3],\n [-3, 10, -7, 9, -9],\n [9, 7, 0, -8, 1],\n [6, 5, 8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -2, -10, 8],\n [-6, -5, 6, 3],\n [-3, -8, -2, 3],\n [8, 2, -1, 6],\n [1, 7, -10, 1]]\nB =\n[[2, -1, 1, -4, -8, -7],\n [-3, -7, -6, -3, -8, -10],\n [1, 1, -10, 4, 3, 1],\n [-10, -4, 1, -5, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -6, 1, 4, 8],\n [6, 8, -10, -7, -1, 7],\n [-7, 10, -7, -8, 8, 2],\n [3, 0, -7, -4, 5, 10],\n [-6, 9, -6, 2, 3, -10]]\nB =\n[[2, -7, 1, 2, 7, -4],\n [5, 8, -1, -5, 5, -1],\n [-7, 3, 4, -8, -7, -3],\n [-7, -5, -5, -1, -5, -4],\n [-6, -10, -9, -3, 4, 2],\n [-10, 10, -2, -8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 9, -7, 10],\n [-9, 10, 10, 5],\n [-8, 6, -6, 9],\n [-4, -4, 8, -3],\n [-5, -6, -9, 8],\n [6, -4, 1, 9]]\nB =\n[[0, -4, -10, 2],\n [3, 7, 9, 2],\n [-1, 2, 4, 0],\n [-2, -1, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -8, -7, -5, 0, 2],\n [2, 3, 4, -1, 0, 1],\n [7, 4, 8, -5, -1, 10],\n [-8, 8, 6, 6, -2, -1],\n [-5, 8, -4, 0, 3, 9]]\nB =\n[[10, 3, -6, 3],\n [4, -3, -6, -3],\n [-3, 10, -6, 8],\n [3, 7, 9, 9],\n [3, -7, 5, -5],\n [10, -5, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1229", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, -5, -10, -8, -1],\n [10, 8, 5, -5, 8],\n [-9, 7, 6, 6, 8],\n [-4, 1, 2, 9, 8],\n [3, -9, 0, -2, 1],\n [-9, -7, -5, -7, -7]]\nB =\n[[-5, 5, 7, 10, -4, -8],\n [-8, 8, 10, -6, 9, -2],\n [-10, 2, -2, -5, 5, -10],\n [4, -8, 7, -3, 9, -3],\n [-9, 0, 0, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, -2, 0, -7, -3],\n [-5, 5, 10, -4, 10],\n [7, 8, -10, 8, -5],\n [-9, -10, -6, -2, 4],\n [4, 5, 0, -9, 1],\n [10, -7, -4, 1, 6]]\nB =\n[[-1, -9, 9, -7, -10, 9],\n [-1, 3, -5, -9, -10, 3],\n [-8, 9, 5, 0, -6, 9],\n [6, -8, -1, -5, -10, -7],\n [-2, 9, -9, 10, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-4, -2, 10, 10, 10, -10],\n [-9, 8, 10, 0, -7, 8],\n [-8, 5, 2, 1, -6, -5],\n [-9, -6, -10, -2, -5, -6]]\nB =\n[[-8, 1, -5, 3, 2],\n [-3, -4, -7, -7, -8],\n [0, -3, -10, 6, 2],\n [5, -9, 2, -6, 8],\n [1, -5, 1, 2, -9],\n [-5, 10, 9, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 7, 1, 2],\n [5, -5, -1, 2, 7],\n [10, 6, 4, 4, 7],\n [-10, -4, 3, 9, -5]]\nB =\n[[-1, -9, -7, 0],\n [6, 9, -8, -1],\n [-4, -10, 6, -9],\n [4, 4, 3, -5],\n [9, -6, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 4, -8, -3],\n [8, -7, -7, -10],\n [-7, 4, 1, -10],\n [8, -9, 6, 1],\n [8, -1, -8, 2],\n [-1, 4, -5, 5]]\nB =\n[[4, -2, -2, 8, 7],\n [6, -5, -8, -3, 6],\n [-3, 3, -9, 0, 2],\n [-2, 8, 9, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -8, -6, 8, 8, 3],\n [-4, 9, 3, -2, -2, 2],\n [1, 8, -6, 6, 6, 10],\n [5, 2, 6, 5, -3, 5]]\nB =\n[[-8, 10, 7, 0, -1],\n [-9, 3, -5, -1, 5],\n [-10, -9, 6, -4, 3],\n [8, 9, -10, 1, 2],\n [9, 3, 5, -1, 8],\n [1, 5, -3, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 4, 5, 2],\n [-10, -5, -9, -7],\n [-8, -5, -2, -6],\n [-6, 0, -9, -2]]\nB =\n[[-5, 5, -7, -3],\n [-4, -8, 9, -2],\n [-10, -4, 6, 3],\n [1, 1, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -4, 8, 3, -5],\n [7, -4, 2, -1, 9],\n [-3, -1, 7, 9, -3],\n [-9, -3, 5, 1, 2],\n [10, -7, 0, 3, -9]]\nB =\n[[10, 9, -5, 8],\n [5, -9, -6, 9],\n [3, -2, 7, -10],\n [-1, -10, -3, -2],\n [4, 9, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -8, -3, -1, -1, -10],\n [4, 1, 3, -1, -10, 0],\n [8, -2, 8, 0, -5, -6],\n [-8, -4, 6, -1, 7, -8],\n [7, -3, -8, -6, 9, -9],\n [-3, 10, -2, 6, 1, -9]]\nB =\n[[-1, -9, 0, 4, -6, 5],\n [-7, 4, 2, 9, 3, -3],\n [-5, -4, 4, 8, 3, -9],\n [-10, 4, -9, 4, 2, -8],\n [-2, 8, 4, -1, -5, -4],\n [-10, 5, 2, 2, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 6, -10, 4],\n [-9, 6, 2, 1],\n [9, 2, -10, 0],\n [-10, 5, 8, 5],\n [-4, 10, 5, -3]]\nB =\n[[-3, -3, 7, 8],\n [-1, 6, 1, -1],\n [8, -9, -8, -5],\n [1, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1646", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 5, 9, -7],\n [4, -2, 3, -3],\n [-10, 9, 5, 9],\n [10, 9, 1, -10],\n [-5, -1, 0, -9]]\nB =\n[[-10, 3, 10, -9],\n [-9, 6, -9, -3],\n [-5, 8, -4, 10],\n [2, 1, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1520", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 9, 1, -10, -9],\n [-10, 8, 1, -1, -7],\n [3, 0, 6, -2, -6],\n [-1, 9, -6, 9, -9],\n [-7, -4, -1, -2, 0],\n [4, 7, -6, -10, -8]]\nB =\n[[7, 0, -5, -4],\n [-7, -7, 1, 2],\n [-2, -9, 9, -7],\n [2, -8, -2, 4],\n [-10, 5, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 3, -4, -9, -9, -7],\n [-2, 9, 7, -2, 3, -3],\n [6, -5, -2, 0, -10, 1],\n [-8, -4, -4, -2, 5, 6],\n [5, -5, 7, 7, 6, -10],\n [-7, -3, -2, 8, -4, -5]]\nB =\n[[-6, 1, -4, -2, -7],\n [-2, -7, 0, 9, 10],\n [0, 6, 4, 10, 1],\n [8, 8, -2, 5, -6],\n [-8, 7, 6, -3, 1],\n [-6, 2, 2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -9, -9, 2],\n [-7, 4, -7, -6, 3],\n [-10, 10, -9, -3, 0],\n [-10, 4, -3, -5, 4],\n [6, 5, 1, 0, -1],\n [-10, -6, -9, 3, -5]]\nB =\n[[3, 0, -1, 7, 10, -7],\n [9, 6, 10, -9, -2, 0],\n [-4, -9, 2, -6, 9, -2],\n [2, 4, 10, 7, -3, 8],\n [10, 2, 4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[5, -9, -6, -4],\n [-1, 1, 8, 10],\n [-2, 2, 7, -2],\n [-4, -10, -2, -6]]\nB =\n[[-5, -6, -4, -1, -2],\n [3, 2, -3, -7, 0],\n [-8, 1, 4, -7, -10],\n [-5, 4, -10, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 2, 5, 1],\n [8, 5, 6, 10],\n [3, 6, 10, 5],\n [7, 3, 10, -8],\n [8, 0, 10, 0],\n [-4, -1, 4, -4]]\nB =\n[[4, -3, 4, -10, -2, 9],\n [-3, 4, -10, 5, 2, -9],\n [6, 10, 3, -4, -8, -6],\n [-4, -7, -4, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, -3, -1, 2, 2],\n [0, -9, -8, 5, 2, -7],\n [7, 9, 1, 0, 8, 1],\n [-9, 10, 1, 9, 0, -7],\n [7, 9, 2, -8, 2, -6],\n [-2, -2, 8, -1, 9, -4]]\nB =\n[[-2, 0, 3, -9, -7],\n [-1, 10, -2, 2, 0],\n [10, -3, -8, 8, 5],\n [-3, -7, 8, 9, -5],\n [-9, -3, -4, -8, 9],\n [3, 3, 5, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 8, 6, -6, -10],\n [-5, -7, -3, 7, 4],\n [0, 9, 2, -1, -3],\n [6, 8, 4, -6, -5],\n [-5, -4, -6, -2, 4]]\nB =\n[[-10, -1, -6, 6, 6],\n [-6, -2, -7, 4, -3],\n [2, -9, 7, -8, -8],\n [2, 9, 5, -5, -7],\n [-10, -4, 6, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-10, -8, 5, 6, 10, 4],\n [-7, 6, 5, 10, -1, 4],\n [9, 2, 0, 6, 5, -3],\n [-3, 10, 3, 8, -2, -4],\n [2, 6, 1, -3, 10, -1]]\nB =\n[[3, 3, -8, 2, -4, 0],\n [-3, -1, 4, -10, 10, 8],\n [-2, 1, 6, 9, -3, 3],\n [-6, 5, -10, 1, 2, -1],\n [3, -10, -6, -7, -1, -9],\n [5, 4, 3, 5, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-2, -1, 8, 1, 3, -8],\n [6, 9, -9, -8, 3, -10],\n [6, 2, -10, 7, 6, 9],\n [-5, 0, 4, 3, 9, -2]]\nB =\n[[4, -4, -4, -10, -10, -9],\n [-2, -7, -5, -6, -2, -2],\n [1, -7, 0, 0, -10, -10],\n [-10, -8, -10, -6, -3, -2],\n [0, 10, 1, 2, -5, -1],\n [-5, -8, 5, -7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[5, 0, 6, 9],\n [0, -8, -3, -3],\n [-10, -1, -9, -9],\n [-9, 0, 4, -4],\n [8, 0, -1, 2]]\nB =\n[[-4, 1, 6, -5],\n [-3, -10, -10, 6],\n [-10, 0, -8, 0],\n [-8, 3, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, -2, 2, -1, -6, 6],\n [-9, -5, 2, 1, 7, -7],\n [4, -1, 3, -10, 1, 6],\n [8, -5, 7, 7, 9, 3],\n [2, 8, 4, -7, 10, 0]]\nB =\n[[-3, 5, -6, -10, 3, -9],\n [7, -6, -10, 2, 2, 0],\n [1, 9, 6, -2, 1, 0],\n [-5, -4, 4, 5, -9, 9],\n [-9, 3, 1, 4, -1, -10],\n [-7, -2, -4, 9, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, -4, 6],\n [8, -3, 4, 7],\n [-8, -1, -5, -7],\n [6, -10, 6, 6],\n [7, -3, 10, 0],\n [0, -6, -6, 1]]\nB =\n[[8, 8, 10, 0],\n [-6, 0, -5, -4],\n [-9, 4, 9, -4],\n [-8, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -3, -2, 9, -9],\n [7, -8, -10, 10, -2],\n [2, 2, -7, 7, -5],\n [-10, -4, -7, 1, 5],\n [1, -5, 1, -5, -1],\n [2, 9, -9, -2, 0]]\nB =\n[[2, -8, 9, 0, 3],\n [7, -9, 10, 4, -2],\n [-4, -3, 10, 6, 9],\n [6, 6, -3, 2, -4],\n [4, 1, 5, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-9, 10, 2, 0],\n [-8, 0, 10, 5],\n [8, -2, 7, -9],\n [9, -4, 6, 0]]\nB =\n[[-10, 5, 1, -8, 10],\n [10, 1, -8, 9, 2],\n [-3, -8, -6, 7, 10],\n [1, -2, 1, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -8, 7, 3],\n [-10, 7, -9, 1],\n [4, -1, 8, 5],\n [-8, -2, -10, 0],\n [3, 1, -1, 4],\n [-2, 4, 1, -1]]\nB =\n[[2, -3, -1, 10],\n [9, 3, -9, 9],\n [-10, 0, -8, -10],\n [-1, -3, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-7, -7, 1, 6, -4, 7],\n [10, -3, 7, 6, 6, 10],\n [6, 10, 8, -5, 10, -6],\n [2, -6, 9, -10, -5, -6],\n [-9, 7, 1, -1, 4, 9],\n [5, 2, -2, -9, 3, -1]]\nB =\n[[5, 0, 9, -2],\n [-8, 0, 0, 2],\n [10, -3, -1, -8],\n [8, 3, -4, -2],\n [6, -10, -7, -3],\n [10, -5, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 1, 5, 5, -9, 4],\n [5, -8, 1, 5, -7, -4],\n [10, -10, -10, 0, 10, -6],\n [-5, -6, -1, 10, -8, 6],\n [5, -3, 1, -2, 7, -9]]\nB =\n[[10, 8, -1, -4, 9],\n [7, 2, 4, 8, 3],\n [-9, -5, 6, -1, 3],\n [9, -3, -10, 6, -1],\n [1, -8, 4, -5, 0],\n [-9, -9, -7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 3, 6, -4],\n [9, 7, -10, 9, 8],\n [6, 10, 7, 0, 8],\n [-8, -2, -9, 10, -7],\n [3, -8, -4, -7, 1]]\nB =\n[[10, 7, -3, -8, 6, -1],\n [-1, 4, 3, -5, 0, -3],\n [9, 10, 4, -1, 7, -5],\n [-6, 4, -6, 9, 5, -9],\n [7, -8, -2, 0, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-245", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 4, -1, -5],\n [0, 5, 0, 3],\n [4, -6, -9, 0],\n [-10, 10, -7, -4],\n [-1, -6, -8, -7]]\nB =\n[[-4, -8, 7, 7],\n [5, 4, 9, 2],\n [9, 4, 9, 7],\n [2, 9, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-733", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[4, -6, 8, 5, 8],\n [-4, 0, 5, -4, 3],\n [8, -3, -6, -9, 8],\n [8, 0, -9, -9, 10]]\nB =\n[[-2, -2, -10, 2, -6, -2],\n [7, 1, 1, -10, -8, 1],\n [3, 5, 10, 3, 6, 4],\n [3, 6, 6, -9, 6, 10],\n [5, 9, 6, 1, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-10, -3, -9, 4, 2],\n [2, 1, 5, -7, -9],\n [5, 7, -9, 0, 8],\n [-5, -4, 1, 3, -7],\n [8, -7, 7, 4, 8]]\nB =\n[[2, 2, 10, 2],\n [5, -9, 0, -5],\n [2, 6, 0, 10],\n [-10, 5, 3, -8],\n [-2, 2, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 6, 2, 6, -3],\n [10, -3, 1, -8, 8],\n [-6, 3, -8, 2, 5],\n [-7, -3, -3, 8, 9],\n [10, -9, 2, -3, 3]]\nB =\n[[3, 9, 5, 1, 5, 2],\n [9, 4, -7, -4, -5, 9],\n [6, -3, 8, 9, -9, -4],\n [3, -5, 6, -1, -1, 10],\n [3, 5, 3, 8, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1809", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[3, 8, 5, -7, -1],\n [-8, -8, 10, -8, -9],\n [-7, 9, -4, -9, 6],\n [-9, 5, -2, -2, -9]]\nB =\n[[1, 3, -10, 3, 3],\n [-4, -10, 8, -10, 0],\n [-6, -7, -3, 1, -8],\n [5, -7, 8, 1, 8],\n [0, 9, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 7, 8, -4, -6, -4],\n [7, 10, -3, -1, -5, -1],\n [-4, -4, 4, -10, -10, 3],\n [-5, -1, 6, -8, 7, -10],\n [-5, 2, -6, 2, -8, 1],\n [-8, 8, -6, 3, 1, -7]]\nB =\n[[0, 1, -10, -3, -3, 4],\n [2, -6, 7, 6, 5, -1],\n [8, 0, 10, -1, 5, -9],\n [7, -5, 0, 5, -8, -7],\n [-10, 6, -2, -7, 2, 5],\n [10, -2, -2, 10, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -3, 0, -1, 10],\n [-6, -7, 0, 6, 6],\n [-7, 3, -4, -7, 4],\n [-8, -8, 8, -1, 7],\n [4, 3, 10, 0, -3]]\nB =\n[[-9, -3, 3, -1],\n [-4, -8, 5, -6],\n [0, -6, 0, 9],\n [4, 8, -7, 8],\n [-5, 8, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "431", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, -4, 3, 8],\n [5, -7, 7, 1, -9],\n [2, -3, 10, -8, -10],\n [-7, 4, -4, 2, -1],\n [8, 1, -3, -6, 6]]\nB =\n[[-5, 5, 0, 1],\n [10, 4, 7, 5],\n [2, -3, -2, -3],\n [2, 9, -9, 10],\n [0, -1, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-319", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[5, -2, 7, 6],\n [-3, -7, 5, -1],\n [-5, 5, 3, 10],\n [-7, 2, -1, 7],\n [8, -9, 3, -10],\n [-5, 5, 5, 3]]\nB =\n[[-4, 5, -5, 3, 10, -9],\n [-8, -8, 0, -7, 10, -4],\n [0, 3, -1, 3, -4, -7],\n [-6, -7, -6, 7, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -7, 0, 3, -10],\n [3, 5, -10, -4, 10],\n [-5, 0, -4, 10, 10],\n [8, -1, -1, 6, 0]]\nB =\n[[0, 5, 3, 9],\n [2, -9, -5, 2],\n [2, -10, -8, 2],\n [-2, 5, 3, -10],\n [2, 0, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -2, 1, -4, 1],\n [9, -7, -2, -4, 1],\n [-8, 7, -5, -3, -10],\n [-6, 9, 1, -9, -5]]\nB =\n[[-10, 7, -7, -8, -8, 1],\n [0, -9, 10, 7, -8, 2],\n [-5, -8, -6, -9, -9, -2],\n [-2, 6, -7, 3, 3, 4],\n [6, -3, 4, -3, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "379", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 2, -6, -2, 3, -8],\n [3, -4, 7, 5, -8, 9],\n [1, 4, 10, 10, 2, 5],\n [8, -4, -6, 9, -5, -9],\n [0, -8, 3, -9, -3, 8],\n [-10, 0, -1, -4, 6, -3]]\nB =\n[[-6, 3, -5, 9, -8, 0],\n [-6, -9, 10, -6, -6, -3],\n [8, -4, 5, -6, -3, -6],\n [-4, -7, 1, 9, -6, -9],\n [8, 6, 10, 9, -4, -1],\n [4, 9, -1, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 2, 1, 1],\n [-5, 4, -5, -6],\n [7, -6, -3, 5],\n [7, -9, 1, -2],\n [-10, 7, -5, -1],\n [-10, -9, 1, -2]]\nB =\n[[-3, 7, 8, -9, 10],\n [8, -10, -7, -5, -4],\n [5, -8, 2, -10, 1],\n [8, 7, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -3, 6, -9, -3],\n [-10, -10, 7, 3, -2, 10],\n [-9, 8, -7, 2, 4, -3],\n [-7, -5, -2, 5, -8, -8]]\nB =\n[[9, 9, 8, -4],\n [4, 6, 6, 2],\n [8, 3, -10, 3],\n [7, 1, 4, -8],\n [8, -10, 9, 10],\n [3, 8, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1453", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 8, -2, -7, 2, -6],\n [-9, -5, 10, 1, 5, 4],\n [-10, -7, 5, -3, 3, 3],\n [-5, -6, 10, -1, -2, -3],\n [1, -4, -4, 1, -4, 7],\n [-1, 6, 8, -2, 7, -6]]\nB =\n[[7, 1, 7, 7, -2, -7],\n [-1, -7, -6, 3, 10, 1],\n [6, -2, 8, -8, -1, 9],\n [-10, 10, 1, 9, -1, -4],\n [8, 5, 8, -10, -9, 10],\n [-2, 0, 2, -6, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, 2, -3],\n [-5, 6, 6, 6],\n [9, -4, 8, -1],\n [-7, -10, -10, 5],\n [-4, -1, -2, 4]]\nB =\n[[6, 3, 2, 1],\n [-10, 0, -10, -3],\n [8, -6, -3, -2],\n [-8, 0, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-3, -4, -9, -7, -4],\n [3, 7, 2, 1, 9],\n [1, -6, -7, 3, 2],\n [-1, 8, -3, -3, 9],\n [1, -9, 2, -10, 0],\n [-5, 4, -6, 2, 5]]\nB =\n[[-1, 5, -7, -10, 9],\n [-1, -7, 9, -1, 4],\n [-1, 8, -4, -2, -3],\n [-5, -3, 5, 2, 3],\n [-1, 4, 2, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -5, 10, 5, 4],\n [-10, 5, 5, 4, -7],\n [-4, -6, 0, 4, -8],\n [3, -10, 7, 5, -3],\n [-4, 5, 3, 5, 10],\n [8, 10, -8, -2, -5]]\nB =\n[[-4, -2, 3, 0],\n [2, 6, 4, 10],\n [8, 0, 10, 8],\n [-8, 4, 8, 4],\n [9, 8, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, -8, -1, 10, -8],\n [6, 7, 0, -10, -5],\n [-8, -8, 2, 10, 3],\n [-7, -9, 2, -9, 0]]\nB =\n[[4, -6, -3, -4, -9, -2],\n [1, 4, 0, 7, -7, 5],\n [-1, 10, -3, 4, -1, 6],\n [1, -1, 0, -10, 4, 10],\n [-10, 0, 7, 10, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -7, -2, 4, 3],\n [-6, 3, 4, -5, -7],\n [-10, 2, 5, -4, -9],\n [-10, 1, -1, -1, 7],\n [4, 7, 4, -6, -3]]\nB =\n[[-1, -7, 9, -7],\n [2, -10, 6, 4],\n [10, 6, 2, 3],\n [1, -6, 10, -2],\n [-3, -9, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 2, 6, 7],\n [-3, 1, 4, -1],\n [-8, 4, 7, 7],\n [7, 6, -9, 10],\n [-6, -9, -1, -4],\n [2, 10, 10, 6]]\nB =\n[[-1, 9, 4, -9, 5, -9],\n [-2, -2, 9, 10, -5, 2],\n [-4, 2, -4, -5, 1, -10],\n [5, 4, -2, 10, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-5, 2, 3, -5, -4, 10],\n [1, 4, -8, -6, 4, 3],\n [0, -2, -1, 6, -6, 0],\n [-10, -3, 3, 6, -10, -5],\n [10, 1, -3, -8, 3, -9]]\nB =\n[[-10, -9, 4, -1, -8],\n [-7, -6, -6, -4, 2],\n [0, 10, -5, 1, -7],\n [-10, 8, 2, -5, -5],\n [-2, 6, -4, -1, -4],\n [-7, -7, 6, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -10, 1, -3, 7],\n [-5, -10, -4, 7, -6, -4],\n [-10, -4, -3, -6, 4, -6],\n [-3, 3, 2, -6, -4, -3],\n [-1, 4, 10, -10, 2, -4]]\nB =\n[[3, 0, -4, 7, -8],\n [-8, -10, -9, -8, -10],\n [0, -9, -1, -8, -1],\n [9, 10, -7, -2, 5],\n [3, -1, 1, -4, -3],\n [2, 0, 10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2042", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 8, 5, -10, 5, 6],\n [-7, 8, 4, -10, -9, 10],\n [8, -8, 9, 9, 8, 2],\n [10, 9, 9, 7, 7, 7],\n [1, -2, -2, 9, 2, -4],\n [10, -9, 5, -8, -8, 6]]\nB =\n[[4, -7, 8, -6],\n [1, -3, -1, -5],\n [-4, 2, -4, 8],\n [7, -10, -2, -6],\n [-3, 6, -10, 3],\n [-3, -7, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1784", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 5, 10, -6, -8],\n [3, -4, 10, 9, 3],\n [-3, 8, -4, 0, 5],\n [10, -9, -2, 6, 2],\n [9, 1, -1, 4, -5],\n [-3, -9, -7, 8, 8]]\nB =\n[[4, -7, 0, 2],\n [9, 6, -2, -5],\n [-1, 2, 0, -10],\n [-2, 7, 9, -4],\n [10, 2, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -3, -6, -7, 4, 9],\n [2, -1, 8, 9, -8, 1],\n [-4, -2, 7, -4, -10, -2],\n [8, -2, -2, 6, -1, -10],\n [-4, -4, -1, -2, -7, -10],\n [-4, 3, -9, 5, 4, 0]]\nB =\n[[5, 5, 5, -8, 10],\n [0, 2, 0, 10, -8],\n [-9, -2, 6, 9, 7],\n [7, 3, -5, -1, 1],\n [8, 1, -9, 8, 3],\n [-3, -7, 3, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -2, 2, 2, -4, -9],\n [6, -9, 1, 8, 10, 7],\n [-10, -9, -5, -5, 4, -8],\n [10, -5, -3, 6, -8, -7]]\nB =\n[[0, -5, 5, 1],\n [6, -4, -5, -1],\n [2, -1, 8, -7],\n [4, -2, -5, 6],\n [8, -9, 7, -6],\n [-5, 1, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[6, -9, -4, 4, -3],\n [6, 4, 5, -10, 6],\n [-3, -9, -4, 9, -7],\n [5, -5, 10, 4, 4]]\nB =\n[[7, 6, 8, 6, -8, -8],\n [-2, 8, 5, 9, -9, 9],\n [-8, 0, 7, -2, -2, -9],\n [-7, -8, 9, 10, 10, 2],\n [8, -3, 5, 5, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 10, -3, 2, 0],\n [7, -10, 9, -2, -9],\n [10, 2, -7, 1, -1],\n [-6, 3, -1, 6, 10],\n [5, -3, 0, 5, 4],\n [-5, -5, -1, -1, -8]]\nB =\n[[-8, 7, 0, -8, 7],\n [10, -6, -7, 2, -7],\n [-6, 4, -1, 5, -6],\n [0, -10, 2, -6, 7],\n [-5, -10, -2, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 2, 1, -7, 4],\n [-2, 1, 9, -6, -10],\n [-5, -5, 2, 10, 2],\n [-1, 1, 0, -6, -2]]\nB =\n[[7, -4, -1, 10, -8, -1],\n [-8, -9, -3, 9, 7, -10],\n [-6, -8, 1, -6, -8, 1],\n [7, -10, -4, 4, -4, -9],\n [2, -6, 8, -7, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[2, 2, -7, 2, 0],\n [7, 4, -2, -3, 2],\n [10, -9, 5, 7, 10],\n [8, -1, -9, -10, 9],\n [-8, -1, 4, 10, -5],\n [1, -2, -8, 2, -4]]\nB =\n[[8, 4, 3, -5, 6],\n [10, -8, 3, -7, -8],\n [-8, -1, 7, -1, 9],\n [4, 6, 9, -8, -2],\n [1, 9, -5, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, -1, 2, -6, 4],\n [9, 9, -1, 2, -10, 3],\n [4, -8, -7, 9, 8, -1],\n [10, -1, 8, -9, -5, 0]]\nB =\n[[-6, -10, 7, 6, -1],\n [7, 10, 2, -9, -3],\n [1, -1, -3, 6, -1],\n [-5, 8, 2, 7, 5],\n [-9, 0, -3, 2, 0],\n [-6, -1, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -3, -2, -7, 10],\n [2, 7, 7, 9, -7],\n [5, -2, 6, -7, 6],\n [8, 0, 8, -10, 3],\n [4, -6, 2, -4, -10],\n [-4, 9, 5, -5, -3]]\nB =\n[[-8, -6, -3, 7, 2],\n [4, 10, 7, 5, -9],\n [0, -1, -2, 8, -1],\n [8, -3, 0, -3, 4],\n [-2, -7, 0, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1947", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[5, -2, -4, 10, 0],\n [8, -3, -10, -7, -8],\n [10, 8, 2, 0, -10],\n [10, -4, -9, -2, 9]]\nB =\n[[8, 8, 2, -10, 6, 9],\n [-3, -3, 3, -1, -1, 2],\n [0, -6, -5, -5, 7, -9],\n [9, -10, 1, -5, -1, 10],\n [5, -3, -10, -8, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, -1, 7, 0, 4],\n [9, -1, -1, -3, -3, -1],\n [-3, 10, -7, -2, -8, -2],\n [3, -9, 7, -6, -9, 9],\n [-9, 4, -9, 5, 6, 3]]\nB =\n[[5, -7, -9, -9, -10],\n [-1, -2, 0, 9, -2],\n [-7, 4, 9, 6, 8],\n [-7, 0, 3, -3, 0],\n [2, -2, -10, -2, -4],\n [-5, -10, 1, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1392", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 1, -7, 3, -7],\n [5, -8, 6, 6, -6],\n [-7, -3, 4, -7, 5],\n [-5, -6, -6, 9, -8],\n [-4, -8, 0, 1, -2],\n [6, 6, -8, -9, 9]]\nB =\n[[-3, 1, -9, -8, 4],\n [8, 8, 9, 6, -2],\n [0, -6, -9, -8, 3],\n [2, -5, 6, 0, -4],\n [-9, 1, 0, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 7, -7, -7],\n [-5, -10, 10, -2],\n [-7, 5, -3, -8],\n [-3, -8, 1, 7],\n [4, 0, 0, 8]]\nB =\n[[-7, 6, -1, -9, -10, 3],\n [3, 2, -7, 3, 4, 6],\n [-9, -7, 0, 10, 5, 9],\n [-3, -4, -6, -2, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[3, 9, 4, 10, 8],\n [8, -1, -1, -9, 9],\n [10, -3, -2, -10, -4],\n [-6, -1, -7, -3, -6]]\nB =\n[[9, 5, -5, 4, -10],\n [10, 9, 1, -4, -6],\n [-9, 8, 5, 6, -5],\n [-8, 9, -3, 4, -8],\n [1, 3, -4, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[2, 3, 5, 4, -6, 9],\n [3, 7, 9, 1, -7, 5],\n [-4, 9, 5, -5, -5, 2],\n [8, 7, 3, 4, 9, -9],\n [5, 0, -3, 10, -5, 5],\n [7, 6, 3, -1, 7, -9]]\nB =\n[[-2, 10, 8, -10],\n [-5, -7, -1, -2],\n [-2, 9, 10, -9],\n [-10, -2, 7, -1],\n [-2, 4, 9, 9],\n [8, -4, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[3, 3, 7, -7, -3, -1],\n [6, -10, -8, 7, -3, 0],\n [-6, 0, 10, 2, 3, -4],\n [-9, -1, -9, 2, 9, -10]]\nB =\n[[2, -9, 8, -3],\n [1, 3, 0, -4],\n [4, -5, -1, 5],\n [-8, 10, 9, 0],\n [-2, 4, -6, 1],\n [-6, 10, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[3, -3, -5, 6, 3],\n [10, 2, 4, 2, 5],\n [-4, 1, 0, -1, -6],\n [-3, 1, -5, 9, 6]]\nB =\n[[-3, -9, 1, -9, 7],\n [1, -9, 6, -6, 6],\n [2, -2, 2, 7, 6],\n [-10, -9, 5, 0, -1],\n [6, 5, 4, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 9, 6, -10],\n [3, -5, -2, -2],\n [-9, 2, 2, -2],\n [1, -4, 1, -5],\n [2, 8, 7, 9]]\nB =\n[[-8, 9, 0, -6, 3],\n [6, -1, -6, -4, 5],\n [-4, -5, 0, 8, 2],\n [-3, -4, -2, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 9, 9, 2, 7],\n [-4, -5, -3, 9, -7],\n [2, -10, -7, 9, -3],\n [1, -1, 5, -3, 10],\n [7, 6, 4, -8, -4]]\nB =\n[[3, 3, 6, 9, -4, 9],\n [7, 7, 0, 5, -3, -3],\n [-4, 1, 5, 0, 6, 10],\n [0, 9, -10, -1, 6, -4],\n [-10, 10, -9, 1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[3, -2, 2, -10, -4],\n [3, 6, 7, -4, -10],\n [9, 3, 10, -5, -10],\n [6, 4, 5, 1, 7],\n [6, -9, -7, -5, 0]]\nB =\n[[-8, -8, 5, 7, 9, 7],\n [6, -1, 2, 3, -2, 5],\n [-4, -6, -3, -5, 10, 9],\n [-1, 8, 6, 4, -6, 7],\n [2, 9, 2, -1, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -4, 9, 0],\n [2, -8, -3, -6],\n [-6, 5, 7, 3],\n [-10, -6, 0, -6],\n [-6, 3, 6, -3],\n [4, 9, 7, 2]]\nB =\n[[10, -3, -6, 3],\n [-9, 9, 8, -9],\n [-6, -2, 0, 8],\n [9, 2, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1589", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 0, -1, -5],\n [0, 5, -3, 8],\n [1, 2, 4, -1],\n [-8, -8, 9, -5],\n [6, 10, 10, -9]]\nB =\n[[-9, -10, -1, 7, 0],\n [-10, 9, 1, -10, 0],\n [-4, -2, -3, 5, -3],\n [-10, 1, 0, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -3, 7, -10],\n [5, -1, 7, -6],\n [4, 10, 3, 4],\n [-9, -2, 0, -6],\n [5, -9, -9, -2],\n [-6, -10, 5, -3]]\nB =\n[[-8, -5, 1, 6, 0, -1],\n [-2, -4, 7, 1, -5, 4],\n [9, 9, 2, 8, -3, 8],\n [-4, -3, 0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 6, 0, -1, 6],\n [-9, 5, -10, -2, 5, -8],\n [5, 4, -1, -4, 1, -8],\n [5, 5, 5, 9, 2, -10],\n [-8, 3, -2, -9, 4, 5],\n [2, 5, -9, 6, -9, -3]]\nB =\n[[-7, -5, -6, -10, -9, 4],\n [-8, 6, 5, 7, -6, -10],\n [5, 3, 1, 4, 6, 0],\n [-9, -7, 6, 5, -4, 1],\n [8, 7, -4, -10, 7, -2],\n [4, 10, 10, 5, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-914", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[2, 0, 9, 8, -8],\n [-1, 6, -1, -6, -10],\n [4, -4, -2, -1, -9],\n [5, -6, -4, 3, 5],\n [1, -7, 8, 7, 9],\n [4, -2, 5, -2, 8]]\nB =\n[[-3, -5, 10, -3],\n [-9, 3, 8, 8],\n [2, 7, -3, -3],\n [6, 9, -9, 1],\n [-5, 9, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, 0, -2, 1, -8],\n [7, 4, -1, 8, 5, 5],\n [1, 9, 8, -1, -3, -2],\n [1, 6, -8, 7, 6, -4],\n [-2, 2, 10, 3, 5, -4],\n [0, 0, -6, 4, -2, 10]]\nB =\n[[-10, 2, 9, -6],\n [10, -6, 8, -10],\n [1, 5, 9, -10],\n [-4, -1, 0, 3],\n [1, -5, 0, 5],\n [-1, 3, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 7, 7, -7, -4],\n [0, -4, 9, -10, 8, 9],\n [-2, 7, 9, -1, -1, 10],\n [-9, -5, 1, 5, -7, -7]]\nB =\n[[4, 2, -3, 3, -5],\n [1, 8, 9, 8, 1],\n [9, 4, -7, -4, -3],\n [-6, -4, -7, -8, 8],\n [9, -4, -7, -9, 7],\n [-9, -5, 5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -2, 5, 2, 1],\n [2, 6, 10, 4, -3, 9],\n [1, -5, -2, 3, 1, 10],\n [-4, -1, 10, -10, 6, 4],\n [9, 7, 4, -3, -4, 2],\n [-4, 2, -7, -3, -4, -1]]\nB =\n[[-5, -4, -4, 5, 7, -4],\n [3, -5, -8, -9, -3, -2],\n [9, 9, 3, -10, -1, 0],\n [10, 2, 0, -3, -1, -6],\n [10, 1, -4, -10, 4, 10],\n [-1, -3, 8, 1, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 5, -1, 8, 9, 6],\n [2, -7, -3, -4, -8, -6],\n [-8, -3, 6, -7, -10, 10],\n [-4, -4, -9, 2, -2, 7]]\nB =\n[[-2, -8, 5, 3, -3, -2],\n [3, -2, 8, 6, 8, 5],\n [-6, 6, 2, 8, -1, -9],\n [6, 10, 4, 0, -3, -6],\n [-9, -4, 6, 8, 2, -10],\n [5, -8, 1, -3, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[10, 7, 1, 5],\n [2, -10, -8, -3],\n [9, -1, 2, -4],\n [-6, 0, -10, -1],\n [4, 8, 4, 0],\n [-4, 10, 8, 10]]\nB =\n[[4, 2, 8, 10, 10, -10],\n [5, 6, -5, -8, 7, 0],\n [8, -1, 4, 6, -6, 4],\n [10, 6, -4, 8, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -7, -10, -8],\n [10, -3, -1, 8],\n [-1, 5, -7, 1],\n [-3, 4, -3, -2],\n [6, 7, -4, 1]]\nB =\n[[3, -2, 5, -5, 4],\n [-6, 1, 8, 3, 10],\n [7, 4, 7, 6, 10],\n [8, 5, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, 8, 9, -4, -3],\n [2, 7, -8, 6, -1, -5],\n [-2, 8, -4, 3, -9, -3],\n [5, -6, 6, -6, 8, 0]]\nB =\n[[8, 4, 2, -3, -1],\n [-3, -10, -5, 6, -4],\n [6, 7, 8, -10, -10],\n [2, -2, 5, -8, 3],\n [5, -9, -3, -10, -6],\n [-10, 5, 7, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[1, -9, -10, -3, 7],\n [3, 2, -5, -4, -4],\n [-3, -1, -6, 5, -3],\n [10, 7, 8, 9, 2],\n [-3, -8, 2, 4, -2]]\nB =\n[[-8, -1, 9, 2],\n [-9, 5, -8, 0],\n [-1, -2, 0, -1],\n [-10, 4, 10, 3],\n [7, 5, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, -10, 1],\n [2, -10, -2, -8],\n [1, -2, 4, 2],\n [-9, 2, -10, 5],\n [5, 8, 3, 1]]\nB =\n[[-3, -8, -2, -10],\n [-7, -1, 8, 1],\n [4, 7, 7, -2],\n [1, -8, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-1, -5, -9, -2],\n [-8, -5, 5, -2],\n [-7, -4, 3, 1],\n [-5, -10, -5, 3],\n [-2, -8, 9, 10]]\nB =\n[[-1, -1, 9, -1],\n [-5, 1, 6, -7],\n [3, -2, -5, 10],\n [2, -4, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -8, -1, 2, 10],\n [9, -8, 6, 6, 2, 2],\n [-3, 9, 8, -2, -2, -2],\n [-9, 1, 10, -6, -4, -4],\n [7, 9, 4, -9, 6, -3]]\nB =\n[[-9, -5, -9, 5, 4],\n [-9, -7, -2, 1, 10],\n [-4, 1, -4, -5, -7],\n [1, -2, 4, -3, 7],\n [7, -8, -7, -8, 1],\n [1, -4, 4, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-712", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 6, 1, 1],\n [0, 5, -6, -1, 0],\n [5, 8, -6, -5, 4],\n [8, -3, 2, -9, 7]]\nB =\n[[9, -1, 6, -2, -6],\n [3, -5, 2, -8, -2],\n [-8, 10, 6, 4, 6],\n [3, -10, 10, -2, -6],\n [7, 5, -3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1210", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -4, -10, -1, 8, 7],\n [1, -8, 5, -7, 9, 0],\n [10, 10, 1, -4, 7, 8],\n [-9, -3, 9, 9, -4, 3],\n [1, 4, -4, -7, 1, -6],\n [-1, -7, -6, 1, 2, 7]]\nB =\n[[3, 10, 10, 2, 0, -6],\n [-2, -3, 10, -4, 8, -1],\n [4, 2, 7, 7, -5, -2],\n [4, 3, 9, -8, 5, -4],\n [-10, 3, 8, 8, 2, -4],\n [-8, 4, -10, -1, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2373", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 8, 5, -8, 1, -1],\n [-2, -7, 6, 9, 2, -1],\n [6, -10, 4, 4, -10, -3],\n [-4, -3, 7, 9, -4, 8],\n [3, -1, 2, 3, 4, 0],\n [2, -4, 3, 2, -5, 0]]\nB =\n[[2, -9, 3, 8, -7],\n [1, 8, -7, 3, 5],\n [6, -8, 2, 7, 7],\n [6, -2, 6, 7, 4],\n [4, -5, 8, -8, 9],\n [-2, 10, 6, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "607", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 0, 0, -8, 7, -1],\n [4, 6, 10, -6, 8, 6],\n [6, 3, 6, -4, -10, 7],\n [0, -7, 0, 3, 6, -6]]\nB =\n[[-3, -7, -2, -5],\n [2, 4, 6, -4],\n [-1, 6, 10, -10],\n [-9, 5, 7, 4],\n [6, 2, -2, -6],\n [-9, -8, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-9, 4, -3, 7, 5, 2],\n [10, 5, 4, 9, -5, 0],\n [0, -3, -6, -9, -8, -5],\n [-10, -10, -7, 8, 10, 3]]\nB =\n[[6, 1, 2, 3, -4],\n [10, 9, 5, -5, 5],\n [-10, -8, 4, -2, 2],\n [-6, 10, -9, -7, 10],\n [0, -8, -1, 1, -2],\n [-1, -5, -1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 10, 2, 9, -7],\n [2, -4, -6, 5, -7],\n [-9, -6, 5, 10, -2],\n [9, 0, 8, 10, -4]]\nB =\n[[-6, -6, 10, 3, 6],\n [-7, 2, 8, 8, 5],\n [4, 0, -5, -3, -10],\n [-7, -5, -2, 3, 8],\n [-9, 2, -4, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 5, 5, 2, -5, -4],\n [-10, 10, 7, 0, -3, -6],\n [1, 5, 5, 3, 7, 10],\n [5, -3, -4, 6, -3, 2],\n [8, 9, 8, 2, 7, 9],\n [6, 10, 0, 9, -8, -7]]\nB =\n[[-8, -5, -7, -8],\n [7, -3, 7, -8],\n [-10, 4, 3, -9],\n [-10, 7, -5, 4],\n [0, 1, 6, 2],\n [10, 7, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -7, 0],\n [-4, 4, 1, 3],\n [-4, 10, -1, -2],\n [-5, 5, 3, -2],\n [0, 4, 7, 7]]\nB =\n[[8, -1, -5, 7],\n [3, -9, -9, -6],\n [-7, 1, 8, -10],\n [-3, 3, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "927", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -9, 3, 1, -6],\n [8, -10, -8, 1, 9],\n [10, -4, -6, 3, -8],\n [10, 5, -9, -8, -5]]\nB =\n[[2, -10, 4, -6, 3, 6],\n [10, 6, 0, 7, -6, -3],\n [-6, -10, -7, 6, -5, 9],\n [-5, -10, 0, 5, -3, -1],\n [-6, -5, -2, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 4, 3, 0],\n [-4, -6, -9, -7],\n [2, 8, 8, 8],\n [10, 4, -4, 9],\n [-4, 3, 6, -4],\n [1, -8, 2, 2]]\nB =\n[[4, 0, -8, -3],\n [-2, 6, -7, -8],\n [-2, -6, 3, 10],\n [0, 5, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 1, -5, -10, 3, 4],\n [-2, -8, 1, 7, -6, -8],\n [-2, 10, 7, 5, 9, 0],\n [-4, -6, -10, 5, -3, 0],\n [-4, -10, -2, -8, -2, -3]]\nB =\n[[-9, -1, -8, 6, 2],\n [7, -1, 6, -8, 2],\n [-6, 6, -4, 6, 5],\n [-10, -7, 2, -9, 0],\n [3, -7, -4, -4, -4],\n [3, 9, -8, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, 5, 4, -3, 10],\n [0, 2, -4, 1, -9],\n [-1, -4, -2, 0, 0],\n [4, -5, 5, 8, 7],\n [-2, -8, 7, -4, -9]]\nB =\n[[-1, -2, 10, 2, 4],\n [3, -8, 9, -1, 8],\n [1, 10, 6, 7, -8],\n [4, -4, 3, 2, 7],\n [5, -7, -10, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -10, -10, -3, 4],\n [6, -6, 7, 0, -6, 10],\n [2, -3, -10, 3, -8, -6],\n [4, 4, -1, 9, 2, -1]]\nB =\n[[-3, -2, 2, -1],\n [-3, -6, -6, 1],\n [-3, -7, -5, 1],\n [0, 3, -2, -7],\n [-7, 8, 1, -8],\n [9, -10, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 9, -5, -1, -8, 10],\n [-2, -1, -7, -9, -10, 7],\n [6, -7, 1, 0, -7, -6],\n [-2, -4, 8, -8, -4, 7]]\nB =\n[[0, 10, -1, -2],\n [-4, -4, 5, 2],\n [-10, 9, 1, 7],\n [3, 10, 7, 7],\n [-6, -10, -3, 3],\n [7, 7, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -1, -3, -7, 7],\n [7, 4, 5, -5, 9],\n [6, -3, 6, 0, 5],\n [-8, 2, 1, 1, 3]]\nB =\n[[9, 10, -10, -8, 10, 9],\n [1, -5, -6, 9, -7, 6],\n [-6, -5, 6, -9, -5, 8],\n [-5, -2, -1, 5, -8, 9],\n [6, 0, -7, -5, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1713", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -3, -5, 4],\n [2, -10, -10, -2],\n [4, -7, 3, 4],\n [6, 3, 1, 0]]\nB =\n[[2, -2, -2, -5, -6],\n [7, -2, -4, 6, 2],\n [4, -6, 4, 0, -9],\n [1, 9, -10, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "938", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -2, 0, 10],\n [-7, 8, 7, 4],\n [-10, 9, 1, -2],\n [3, 10, 9, 7]]\nB =\n[[-2, 1, -1, -4, 3],\n [5, 9, 8, 7, -9],\n [0, 0, -3, 1, -6],\n [-7, 6, 4, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -4, 0],\n [-8, -8, 0, 2],\n [5, -4, -10, -2],\n [-2, -9, -6, 7]]\nB =\n[[6, -1, 7, -6],\n [9, 8, -5, 1],\n [5, 7, 6, 9],\n [-10, 5, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1117", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 1, 6, 0],\n [-7, -8, -5, 8],\n [-7, 2, -8, -5],\n [-4, -3, 1, 8],\n [0, 8, 8, -7],\n [-7, -6, 6, 10]]\nB =\n[[0, -1, -7, -3, 6],\n [0, 6, 0, -4, -7],\n [8, 0, -5, 8, 8],\n [-4, 9, -9, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1445", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -10, -1, -6, -6],\n [8, -10, -2, -3, 2],\n [1, 10, -5, -5, 8],\n [10, -8, 4, 10, 8]]\nB =\n[[-9, -3, -4, -6],\n [3, -9, 9, 9],\n [1, -5, 3, 8],\n [-9, 10, 1, -3],\n [4, 8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 5, -1, 0, 6],\n [-8, 7, -2, -9, -1],\n [-9, -7, 2, -9, -6],\n [-1, -6, 1, -4, -2],\n [-1, 8, 9, 8, 8],\n [-2, -6, -8, 3, -2]]\nB =\n[[3, -1, 3, 8],\n [4, 5, 8, 4],\n [4, 0, -3, 9],\n [9, -4, -1, -3],\n [0, -5, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-351", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[2, 4, -5, -4, 6],\n [3, -2, 3, 2, -5],\n [1, -6, -3, -3, -7],\n [10, 9, 0, 4, 1],\n [0, 10, 10, -9, 0],\n [3, -6, 4, -5, 7]]\nB =\n[[1, 6, -10, -9],\n [-3, -9, -8, 3],\n [-9, -4, 6, 2],\n [-5, -9, -9, -2],\n [4, 5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-9, -6, 4, 9, -7, 8],\n [-9, -9, 2, -7, -10, -7],\n [1, 1, -10, 2, 8, 6],\n [-3, -5, -6, 7, -1, 8],\n [9, 3, 8, 0, 0, 8]]\nB =\n[[3, -1, 3, -10, 4, -3],\n [-10, 4, -6, -5, 4, 1],\n [4, -4, 8, -1, 9, -10],\n [0, 3, -6, 4, 5, 3],\n [-4, -2, -9, 6, -10, 7],\n [0, 0, -9, -3, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, 7, 6, -5, -9],\n [10, 3, -1, 3, -5],\n [-4, 0, -2, -1, 1],\n [-1, -5, 1, 5, -3],\n [4, -5, 4, 0, 0]]\nB =\n[[-3, -2, 2, -7, -3],\n [4, 5, 7, 7, 10],\n [-4, -9, 2, -8, 4],\n [8, 8, -9, 10, -2],\n [-9, 7, -5, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[3, -8, -7, 3, 9],\n [8, -8, 9, 2, -8],\n [4, 10, 3, -9, -7],\n [-5, 7, 6, 2, -10],\n [-9, 6, 2, 7, -5]]\nB =\n[[10, -5, 9, 0, 0, -2],\n [9, 8, -6, 4, 1, 7],\n [-2, 4, -4, 8, 6, -5],\n [-7, 8, -9, 3, 8, -9],\n [6, -2, -2, 10, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 1, 4, -9],\n [5, -4, 1, 6],\n [-10, -3, 3, -5],\n [-9, 2, 5, -10],\n [7, -1, -5, -3]]\nB =\n[[9, -10, -10, 6, 4],\n [1, 5, 10, 1, -8],\n [4, -10, -8, 2, 4],\n [-1, 3, -6, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -8, -1, 4, 2],\n [-10, 0, -5, 6, 4],\n [6, -5, -4, -2, -7],\n [-7, -8, 6, -9, 7],\n [-6, 3, -9, -8, 10],\n [-8, 3, -7, -7, 8]]\nB =\n[[0, 9, 4, 6],\n [-4, -9, 6, 9],\n [-8, 9, -10, -8],\n [-1, -10, -6, -10],\n [-6, 5, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1724", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -8, -6, -5, 1],\n [4, 10, 4, 6, -4],\n [-10, 8, 8, 6, -8],\n [-7, 5, -4, -10, 3],\n [3, 1, 8, -8, -9],\n [5, -7, 10, 10, -5]]\nB =\n[[5, -7, -1, 6, -9],\n [6, -10, 6, -3, -10],\n [7, 4, -2, 10, -9],\n [6, -7, -1, -1, -5],\n [4, -4, 2, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, 2, -7, 10, 1],\n [-3, 6, -7, 7, -6, 0],\n [-7, -3, 5, 7, -5, 7],\n [4, -4, 3, 4, -4, -2],\n [-1, -3, 6, -5, -3, -7],\n [-10, -3, -10, 9, 2, 3]]\nB =\n[[-2, -6, -2, 1],\n [8, -8, -6, -3],\n [-6, -4, 0, 3],\n [6, -9, 10, 8],\n [-4, -5, -9, 2],\n [-3, -9, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 1, -8, -7, 1, 3],\n [-8, 5, 6, -9, -4, -2],\n [1, -5, -9, -9, 5, 0],\n [-5, 3, -8, -3, 9, -2]]\nB =\n[[4, -9, 3, -3, 3, 0],\n [-6, 8, 9, -9, 5, -6],\n [0, -3, -6, 10, 5, 1],\n [-1, -6, -9, -10, -10, 8],\n [-2, 2, 3, -9, -6, 10],\n [-9, -3, -4, -9, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "689", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -3, 7, 5],\n [5, -9, -1, -1],\n [-7, -8, -1, 0],\n [5, 10, -8, 10],\n [5, 2, 9, 9]]\nB =\n[[10, -1, 6, -2, 8, -5],\n [4, -5, -2, 7, 3, -9],\n [-10, -10, 0, -2, 8, -2],\n [-1, -5, 7, -1, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -6, -4, 7, -4],\n [1, 2, 1, 1, 0],\n [0, 5, 2, -9, 8],\n [-6, -9, -2, -3, 10],\n [-4, 7, -5, 9, -7],\n [4, 1, 7, 4, -1]]\nB =\n[[-6, 0, -4, 5, -1],\n [-1, 8, 8, -6, -4],\n [-10, -6, -6, 10, 4],\n [-9, 3, 0, -6, 9],\n [2, 3, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1417", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-4, -8, 5, -2],\n [9, 2, -8, -9],\n [-4, -3, 2, 7],\n [-7, 7, -3, 5]]\nB =\n[[0, 6, -1, 2, 10],\n [-10, -3, -1, -6, 8],\n [1, 2, 5, 0, -4],\n [-6, 0, -6, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, 10, -6, -8],\n [-2, -3, 2, 6, 4],\n [9, -8, 7, -4, -2],\n [5, 4, -1, 10, 1]]\nB =\n[[1, 10, -10, 3, 7],\n [-3, -2, -1, 1, -4],\n [-3, 7, -3, 3, -2],\n [-1, 2, -6, 5, 9],\n [2, 2, 0, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -2, 2, 0, 3, -10],\n [9, -8, -2, 8, -1, -2],\n [7, 2, -5, -6, -5, 6],\n [0, 5, -3, 3, -7, -9],\n [9, -3, 10, -9, -6, -7]]\nB =\n[[-10, 5, 10, 1],\n [9, 6, 5, 0],\n [4, -8, -4, 7],\n [8, 2, 8, -3],\n [-3, -2, -7, 0],\n [7, -7, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, -10, 0, 5, 4, -6],\n [-8, 10, 1, 10, 8, 9],\n [5, -5, 6, -4, 7, 2],\n [-4, -8, 1, 3, -9, -8]]\nB =\n[[-7, -5, -8, 7],\n [4, -6, -8, 6],\n [-1, -5, -2, -4],\n [-2, 6, -3, 2],\n [10, 8, -4, -1],\n [4, -6, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 0, 9, 5, -2],\n [3, -7, 1, -8, -8],\n [-3, -9, -9, -2, -1],\n [2, 9, -1, 5, 6]]\nB =\n[[-7, 5, -10, 1],\n [1, 8, 7, 9],\n [-2, -9, 10, 10],\n [3, -9, 10, 5],\n [1, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[2, -9, 0, 6, -2, -5],\n [0, -3, -3, 1, 3, -4],\n [-9, 10, 8, 5, 10, 9],\n [-5, -7, -1, 5, -5, 8],\n [9, -6, 6, -8, -8, -1],\n [-4, 5, 0, 3, -6, -10]]\nB =\n[[-6, -10, 8, 9, 8],\n [-2, 5, 1, -6, -6],\n [-4, -4, -9, 4, -6],\n [-3, 1, 7, 3, 1],\n [5, -8, 7, -3, -6],\n [2, 6, 5, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -9, -9, -9, 9],\n [-4, -1, 5, 3, 8],\n [1, -7, -7, 10, -5],\n [-8, 8, -4, -5, 5]]\nB =\n[[-6, 3, -10, -8, 3, 8],\n [7, -8, -3, 4, -10, 6],\n [10, -7, -3, -8, -6, 5],\n [-4, 5, 7, 1, -7, 0],\n [6, 4, 9, -3, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-6, -3, -1, 6, -10],\n [2, 3, -7, -8, -8],\n [-9, 1, -1, 7, -10],\n [5, 5, -6, -9, 2],\n [10, 4, 10, -3, 4],\n [-4, 6, -4, 8, -2]]\nB =\n[[8, -5, 8, 7],\n [1, 1, -4, -4],\n [8, -1, -3, 10],\n [-2, -5, 7, -7],\n [-9, -3, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, 2, 8, -7, -3],\n [-8, -8, -5, 2, 5, -5],\n [6, 5, -9, -8, 6, -1],\n [10, -8, -2, 6, 2, -2]]\nB =\n[[5, 2, -5, 4, 1, 6],\n [4, 7, 0, 5, 7, 0],\n [-10, 3, -10, 5, 1, -5],\n [2, 8, -2, 8, -8, -2],\n [3, -1, -8, 4, 8, 4],\n [1, -9, 2, 9, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1381", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -7, 4, 1, 1],\n [-8, -9, -8, 6, 7],\n [-7, 2, -1, -8, 5],\n [-8, 1, -5, 3, -5],\n [-7, 0, -1, 1, -3]]\nB =\n[[-8, 1, 9, -10, -6, 7],\n [4, 5, 7, -3, 3, 4],\n [-4, 1, -5, 7, -4, 5],\n [4, -4, -9, -4, -9, -4],\n [2, -7, -4, 9, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -10, -9, -10, -5],\n [2, -9, 0, 5, 0],\n [1, -8, 8, 4, 7],\n [-9, 0, -10, 1, -9]]\nB =\n[[-9, -3, 2, -3, 7],\n [-10, 0, 7, 5, -9],\n [5, -9, -4, -8, 3],\n [7, 10, 7, 2, 0],\n [-10, 0, -8, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[2, 9, 10, -7],\n [-6, 6, 8, 10],\n [-5, -4, 7, 4],\n [4, 0, -1, -9],\n [-1, -10, -10, -6]]\nB =\n[[-1, 8, -10, 5, 3, -3],\n [-2, -1, 9, 4, -6, -2],\n [-8, 2, 1, 0, -6, 0],\n [1, -10, 5, 5, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 6, 3, 9],\n [-3, 2, 0, -4],\n [-9, 10, 5, -1],\n [1, -10, -2, 0],\n [4, -9, 6, -9],\n [-1, 6, -10, -9]]\nB =\n[[5, -10, 10, 8, 5, 6],\n [9, 6, 4, 1, 8, 1],\n [-2, 5, -2, -8, 1, 0],\n [4, 10, 0, -7, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2321", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 10, 1, -6, -10],\n [-2, 6, -10, -4, -7, -6],\n [2, 1, 6, 7, 4, -9],\n [1, 10, -1, 4, 9, 9],\n [-2, 6, 3, 9, -7, -2]]\nB =\n[[1, -10, 8, 10],\n [-7, -8, 10, -2],\n [-4, 9, -8, 3],\n [4, -10, -8, -8],\n [-2, -8, -3, 3],\n [-1, 6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-461", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -8, -1, 8, 1],\n [-4, -7, -8, 10, -9],\n [-6, -4, -6, -5, -4],\n [10, -7, 5, 3, 2]]\nB =\n[[-10, 8, -6, 4, 7, 1],\n [-3, -7, 2, 6, -1, -10],\n [8, -6, -2, -6, -6, -1],\n [7, 7, -6, 1, 2, -8],\n [4, 7, -3, -6, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 3, -3, -4],\n [5, -10, 4, 6],\n [-6, 8, -3, 8],\n [-1, -6, 4, -9],\n [-4, 0, 6, 7]]\nB =\n[[-8, 7, 0, 6, 10, 4],\n [4, -2, -4, -10, -4, -2],\n [1, 10, 1, 0, 3, -9],\n [10, 8, 8, 3, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 7, -6, -2, 4, 4],\n [0, 1, -2, -4, -2, 5],\n [5, -10, -10, 2, 8, 7],\n [9, -6, 8, 10, -9, 6],\n [5, 5, 3, -1, -7, 6],\n [6, -10, 6, 10, 10, 2]]\nB =\n[[4, -2, -6, -1, -8],\n [5, -4, -1, -9, -3],\n [-1, 2, 8, 6, 2],\n [0, 3, -3, -3, 1],\n [4, 0, -3, 2, -1],\n [-1, -10, -6, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-636", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-7, 6, 7, 7],\n [10, -1, -6, -2],\n [1, -4, -5, -9],\n [0, 5, 3, 3]]\nB =\n[[8, -9, 4, -4],\n [0, 7, -3, 10],\n [6, -2, 6, -3],\n [6, -8, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-6, 1, -8, 6, 3],\n [10, -2, 5, 4, -7],\n [-5, -6, -6, -8, 6],\n [3, -7, -10, -7, -8],\n [1, 9, 4, 1, 8],\n [10, 4, 2, 4, 4]]\nB =\n[[-8, 10, -8, 6],\n [2, -5, 5, -2],\n [-10, -3, -3, 9],\n [6, 4, 4, -9],\n [8, 8, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -5, 6, 7],\n [5, 10, 6, -10],\n [-9, 8, 5, -2],\n [5, -10, 9, 0],\n [-10, -10, -5, 10],\n [-2, 1, 8, 7]]\nB =\n[[-3, -4, 8, -2, -10],\n [2, 10, -8, -1, 6],\n [7, -4, 0, -1, 1],\n [10, 7, 7, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 9, 10, 7],\n [5, -9, -7, 2],\n [-5, -10, 0, 6],\n [-3, 6, 9, -1]]\nB =\n[[7, -4, -7, 5],\n [-8, 9, -9, 9],\n [-1, -9, 3, 2],\n [-6, -6, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -6, 1, 8, 5],\n [-6, 3, -10, 2, 5],\n [7, 1, -10, 9, -7],\n [-10, -4, 1, -4, 1],\n [0, -9, 10, -5, -4]]\nB =\n[[8, -3, -9, -7],\n [1, 1, -3, -2],\n [-10, 5, -6, -1],\n [0, -4, -8, 7],\n [4, 3, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1255", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -4, 10, 9, 7, 6],\n [0, 4, -7, -8, -3, -2],\n [-5, -10, 6, -6, -8, -7],\n [-5, -7, -7, 8, 1, -3]]\nB =\n[[-8, -3, 3, 3, 7, 4],\n [8, -3, -3, 6, -7, -6],\n [-8, -3, -6, 9, -3, 1],\n [-8, -1, -8, -6, 6, -5],\n [3, 4, -4, -5, -6, -1],\n [-1, -6, 2, 1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1464", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -2, -8, 1, -5, -9],\n [-10, -3, 6, -9, 9, 0],\n [4, 8, 6, 8, 6, -3],\n [1, 0, -3, -7, -1, -2],\n [-10, -9, 10, -2, 5, 4]]\nB =\n[[1, -8, 0, -4, 9, -4],\n [-3, 8, -9, -5, -6, -9],\n [0, 7, 5, -1, -2, -7],\n [0, 0, -1, -7, 3, -9],\n [-7, -6, 10, 6, 8, 1],\n [6, -1, -4, 7, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, 8, -4],\n [-3, 0, -10, -10],\n [-10, -6, 1, -2],\n [-9, -9, -8, 10]]\nB =\n[[-9, -9, 8, 0, -10],\n [-6, 5, 8, 4, -10],\n [-4, 1, -9, -1, -5],\n [-7, -6, -6, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -7, -4, 4, -10],\n [7, -1, -10, 0, 3],\n [-6, -7, -7, 2, 5],\n [3, 10, -10, 1, 9]]\nB =\n[[-8, 1, 10, -1, -1, 9],\n [-5, -3, 8, 9, 9, -7],\n [8, -7, 4, -2, -3, -2],\n [-1, -7, 9, -4, 4, 3],\n [-4, 3, -7, -6, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 9, -8, 3, -10],\n [-6, -8, 1, 0, 8],\n [1, -1, -8, 7, 9],\n [8, 10, -7, 3, -6]]\nB =\n[[7, 6, 3, 1, 8, 3],\n [-6, 7, -1, 8, -2, 3],\n [7, -1, 0, -4, 1, -10],\n [6, -7, -9, -7, 3, 0],\n [2, -2, 6, 3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -6, 5, -7, -10, 4],\n [3, -9, 4, -5, 2, 6],\n [10, 0, -6, 9, -4, 10],\n [3, -7, 2, 7, 0, -6],\n [9, 2, -5, -4, 1, -10],\n [-1, 1, 4, 2, 5, -2]]\nB =\n[[-2, 5, 0, 8, 0],\n [-6, 7, -5, 2, -10],\n [4, 9, 8, 4, -5],\n [10, 0, -10, -4, 6],\n [10, -2, -6, 0, -3],\n [7, 7, -1, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, 10, 4],\n [3, 9, -7, -6],\n [2, -2, 0, 0],\n [-1, 6, 0, 10]]\nB =\n[[-4, 7, 6, -9, -8],\n [0, -7, 8, 9, -5],\n [8, 5, 4, -10, 8],\n [8, -5, 2, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, -9, -6],\n [-5, -9, -10, 6],\n [8, -2, 7, 3],\n [-3, 6, -5, 6],\n [-1, 2, 3, 1],\n [9, -3, 9, 8]]\nB =\n[[2, 10, 1, 6, 0],\n [-2, 3, -1, -4, -9],\n [5, -4, -3, 6, 6],\n [8, 2, -10, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 5, 9, -2],\n [0, -5, 9, 1],\n [4, -1, 3, 7],\n [4, 3, 2, 4],\n [8, -1, -9, -2],\n [-5, -2, 10, -3]]\nB =\n[[3, 4, 10, -7, -7, -6],\n [-8, 7, 0, -1, 0, -3],\n [-6, -2, 10, 1, -4, -5],\n [2, -2, 6, -4, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -9, -10, -6],\n [-4, 3, -4, -1],\n [-5, -8, -2, -10],\n [-8, 5, -10, -7],\n [0, -8, 9, -7]]\nB =\n[[-3, -4, -8, 6, 8],\n [3, 5, 5, 6, 6],\n [-9, 1, 7, 6, -8],\n [4, 1, -8, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 4, -4, 9],\n [3, 3, -1, 6],\n [-9, -4, -2, -7],\n [-1, -4, 6, 3]]\nB =\n[[1, -6, -6, -10, -3, 5],\n [2, -1, 7, 5, -2, 1],\n [-1, -10, -10, 7, 10, -4],\n [4, 0, 7, -1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[4, 6, -2, 1, 5, -6],\n [-6, -2, -5, 9, 2, 7],\n [10, -7, -6, 3, 1, 9],\n [-3, -7, -1, -10, -1, -6],\n [9, -2, 4, -1, -9, -8]]\nB =\n[[-8, 2, 2, -6, 10],\n [2, -8, 6, -2, -9],\n [-5, -7, -10, -3, 9],\n [-7, -9, -9, 6, 3],\n [9, 9, -5, -6, -1],\n [6, -6, -3, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -10, -10, -9, -9],\n [2, -8, 0, 10, -3],\n [-10, 7, 3, 6, -3],\n [0, -10, 7, -10, 10]]\nB =\n[[-2, 8, -3, 10, -1, 6],\n [1, -2, 2, -3, -7, -8],\n [0, -4, -6, 6, 3, -3],\n [1, 0, -7, -2, -3, -5],\n [10, 7, 0, 9, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1799", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 9, 0, 6],\n [8, -4, -8, -6],\n [0, 5, 1, -4],\n [-4, 6, 7, 10]]\nB =\n[[6, 8, 10, 9, -6],\n [3, -8, -6, 9, -3],\n [6, -5, -10, -9, -10],\n [-9, -6, 2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[4, -6, 2, -6, -5],\n [7, 6, 4, -2, 5],\n [4, -8, 4, 1, 5],\n [-4, 2, 8, -2, -5]]\nB =\n[[10, -4, -5, -6, 3],\n [2, 2, -8, 10, -10],\n [-4, 1, 5, 10, -2],\n [6, 2, -9, 2, 1],\n [3, -3, -1, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[6, -6, 6, -8, 2, -7],\n [10, 9, -10, -1, -7, 10],\n [-10, 5, -7, -10, 0, -3],\n [-5, -7, 5, -7, 9, -8],\n [3, 0, -7, 1, -5, 10],\n [-8, -9, 7, 1, 6, -8]]\nB =\n[[0, -7, -6, 9],\n [-8, -7, 7, 0],\n [-6, -2, 8, -5],\n [7, 4, 7, -1],\n [2, 5, -6, 1],\n [-9, 0, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -8, -3, -10],\n [10, 3, 5, 9],\n [-10, 8, 7, -10],\n [4, 8, 2, 0]]\nB =\n[[4, -9, -7, 2],\n [0, 2, -5, -7],\n [-3, 6, -1, -8],\n [-1, -3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 6, 9, 5, -1, -10],\n [0, -7, 10, -7, -1, -8],\n [-7, 1, 5, 0, -9, -7],\n [-8, 0, 0, 5, -10, -5]]\nB =\n[[-9, 6, 7, 4, -7, 1],\n [-10, -6, 2, -9, 0, -6],\n [3, -9, -10, 7, -9, -1],\n [-7, -7, 3, -7, 2, 5],\n [1, 1, -3, 6, 5, -4],\n [5, -3, -3, 3, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 2, -2, 1],\n [-1, -7, -9, -3],\n [-1, 2, 6, 2],\n [-9, -6, -10, 5],\n [5, 2, 7, 3]]\nB =\n[[9, 1, 7, 1, -8],\n [3, -10, 0, -9, -5],\n [-1, -7, -5, 9, 10],\n [2, -1, 3, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[4, 8, -4, 3, 10],\n [6, -3, 1, -10, -3],\n [-2, -8, 4, -7, -7],\n [-2, 2, -10, -7, -6],\n [-6, 8, -9, 3, 8],\n [-8, 1, -4, -8, 6]]\nB =\n[[3, 0, -7, 3, -6],\n [2, 4, -6, -8, 2],\n [-2, 0, 2, -10, 9],\n [-9, 5, 2, -8, 9],\n [2, 9, -5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, 3, 8, -4, -10, 10],\n [3, 0, 9, 8, 2, 1],\n [-6, -9, 9, 6, -7, -8],\n [-5, 9, 0, -7, 4, -5],\n [-3, -5, -4, -10, -1, -5]]\nB =\n[[9, -4, 7, 5],\n [-1, -1, 7, 8],\n [6, 3, -4, -8],\n [8, -4, -5, 1],\n [-3, -8, -9, -7],\n [-6, -7, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -4, 4, -2, -7],\n [1, -7, 1, 7, -4],\n [-10, 1, -3, 5, -9],\n [10, -1, -9, 3, -7]]\nB =\n[[-5, -4, -7, 5, 1, -9],\n [5, -2, -10, 10, -5, 7],\n [-3, -3, 7, 10, 5, -4],\n [0, 10, -2, 1, -1, -1],\n [7, 7, -4, 4, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -2, -5, 5],\n [9, 3, -3, -6],\n [-7, 7, -2, 10],\n [6, -6, -1, -2]]\nB =\n[[9, 3, -2, -7, 6, 3],\n [8, -3, -8, -4, 2, 3],\n [-5, -3, -6, 4, -10, -3],\n [3, 7, 9, 2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -7, 1, 2, -10, 7],\n [7, -3, -7, -9, 2, 3],\n [1, -6, -2, 4, 3, -7],\n [5, 7, -9, 1, 5, 3],\n [-2, -10, -8, -9, -10, 0],\n [-10, -9, 3, 10, 7, 4]]\nB =\n[[8, -2, -8, -6, -2],\n [-2, 5, 9, 7, 7],\n [7, -1, -3, -10, 2],\n [-6, 10, 9, 6, -5],\n [9, 3, -3, 10, 2],\n [-7, 7, -10, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, 6, -10, -3, 9],\n [2, 6, 4, 9, -3],\n [8, 1, 10, 5, 5],\n [8, 0, -3, -2, 0]]\nB =\n[[-2, 3, 3, -6, -2],\n [3, 1, 5, 4, -10],\n [-2, -1, -7, -6, -10],\n [-9, -2, -6, 4, 3],\n [9, -3, -7, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-5, 9, 1, 7, -5, 4],\n [10, -4, -9, 9, 4, 7],\n [3, 7, 6, 2, -5, 4],\n [-9, 3, 8, -2, -4, 9],\n [6, 7, -10, 0, -8, -3]]\nB =\n[[2, 8, -2, 1, 0, 8],\n [8, -1, 5, -2, 6, 3],\n [6, -3, -8, 9, 8, -5],\n [10, 6, 3, -1, 1, -4],\n [-5, 5, 5, -10, -4, -3],\n [0, -7, 10, 6, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 1, 5, -8, 4, 4],\n [6, 0, 6, -7, 9, 6],\n [-4, 1, 9, -1, 8, -7],\n [4, 1, -7, 3, -1, 5],\n [-7, -8, 2, 3, 3, -3]]\nB =\n[[8, 7, -7, -6, -5, 5],\n [-4, -7, 7, 0, 7, -7],\n [10, -1, 4, 6, -6, -1],\n [-1, 6, 2, -6, 0, -5],\n [-4, 5, -5, -6, -8, 0],\n [-5, -1, 2, -4, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-245", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -3, 10, -1, 3],\n [-10, -10, 0, 6, -9],\n [-4, -6, -1, -2, -10],\n [-8, 7, 5, 6, 0]]\nB =\n[[7, -8, -4, -8, 4, 3],\n [-2, 10, -4, -3, 4, 9],\n [1, -3, -9, 9, 4, 10],\n [-2, -8, -6, -5, -1, -10],\n [1, 4, -3, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -10, -5, 9],\n [-6, 0, -10, 0, 0],\n [-1, 5, 7, -3, 9],\n [-2, 9, -5, -10, -3],\n [-3, -1, 10, -2, 4],\n [9, -9, 9, 8, -6]]\nB =\n[[5, -10, -9, 6, -4, 1],\n [10, 5, 9, -7, -2, 1],\n [-1, -2, 9, -10, 8, -5],\n [-7, 6, 9, 3, 4, 4],\n [-7, 2, -5, -2, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2546", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -5, 7, 4],\n [-10, 8, 4, 6],\n [-7, -7, -7, -9],\n [4, -1, -6, 2],\n [4, 4, 10, 5],\n [6, 8, -4, 2]]\nB =\n[[-4, -8, 9, 7, 1],\n [-1, -3, -3, 6, 7],\n [-4, -9, 8, 3, -7],\n [-4, 0, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1565", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[6, -4, 0, -10],\n [0, -4, 1, 0],\n [4, 8, -6, -2],\n [-5, -9, -2, -9]]\nB =\n[[6, -6, 6, 2],\n [5, 10, -8, -3],\n [5, -2, 8, -3],\n [-10, -7, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 4, 2, 4, -7, -9],\n [-8, -6, 7, 9, -6, 4],\n [5, 6, -8, -5, 10, 2],\n [7, 3, -10, 8, -7, -8],\n [6, -7, -3, -3, -4, -5]]\nB =\n[[-8, -1, 10, -6, -10],\n [-3, -5, 7, -6, 3],\n [-1, -2, 1, 5, 3],\n [5, 4, 1, -2, -10],\n [-10, 1, 3, 6, 2],\n [4, -9, 7, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, 4, 9, -7, 0],\n [-8, 1, 1, 6, -9, 4],\n [6, -10, -10, 4, -10, -3],\n [1, -7, -3, -2, 5, 1],\n [2, 4, -4, 7, 9, -10],\n [-5, -6, -6, -10, 3, 1]]\nB =\n[[5, -7, 1, -6, -5, -6],\n [2, -8, -1, 3, -7, 0],\n [8, 5, 5, -6, -7, -3],\n [6, -1, 9, 2, 3, 6],\n [3, 4, -2, 10, 1, -7],\n [6, 0, -1, 5, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -3, 4, 7, 1],\n [-8, 5, 5, -2, -10, 8],\n [-6, -5, -8, 6, 9, 4],\n [-9, 5, -3, -8, 5, -6],\n [-7, -10, -9, 9, 9, -5]]\nB =\n[[-9, 5, 9, 0],\n [9, -4, 2, -10],\n [5, -3, -6, 4],\n [-8, 3, -4, -8],\n [5, 5, -1, 3],\n [0, 9, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1235", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-9, -1, 5, 8, -8, 6],\n [-4, 7, -1, 4, -9, -4],\n [-8, 5, 9, 10, 8, 9],\n [8, 1, 5, -2, -3, 10],\n [-8, 3, 1, -4, 1, 7]]\nB =\n[[-2, 1, 8, -5, 7],\n [3, 1, -7, -4, -6],\n [-4, -6, 3, 1, 5],\n [-2, 6, -6, 6, 1],\n [7, 3, 4, 0, 1],\n [-2, -4, 1, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, 6, -7],\n [0, 0, 1, -9],\n [-2, 6, 9, 9],\n [-5, 4, -4, -5],\n [-10, -1, -4, -2],\n [-7, -7, -8, -10]]\nB =\n[[-5, 4, -4, 3, 7],\n [-8, 0, -4, -5, -2],\n [0, 2, -4, -5, -7],\n [2, 0, -2, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -7, -9, 1, -9],\n [1, 6, 2, 9, -2],\n [-1, -5, -7, -3, 2],\n [3, 3, -3, -9, 10],\n [-6, 8, 8, 7, -4]]\nB =\n[[1, -1, -2, 6, 2, 10],\n [-3, -7, -3, 0, -5, -3],\n [-7, 1, -4, 6, 5, 4],\n [-6, -6, -7, 8, 3, -5],\n [-7, -5, 7, 4, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1665", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -6, -2, -3, 1, -7],\n [-2, 5, 3, 4, -2, -6],\n [5, -10, -6, 1, 10, -6],\n [-6, -5, 3, -10, -8, 1],\n [5, 10, 0, 2, 3, -5],\n [-10, 6, 7, -3, -8, -2]]\nB =\n[[10, 0, -4, 10, -3, 9],\n [7, 6, -5, -6, -5, 2],\n [4, -5, 3, 8, 3, 4],\n [-6, 6, -10, 0, 3, 9],\n [-8, -9, -3, 5, 3, 5],\n [6, 4, 8, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 1, 10, 10, -3, 5],\n [7, 7, -5, 7, 5, 6],\n [7, -4, -5, 8, -9, 9],\n [3, 10, 6, 0, 3, 8]]\nB =\n[[2, 8, 5, 9, -2],\n [-5, -5, 2, 6, 8],\n [8, -8, -9, 0, 7],\n [5, -7, 9, 4, -4],\n [-4, 6, -8, -6, -3],\n [-7, -9, 4, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[1, -4, 5, -3],\n [5, -1, -5, 4],\n [-7, 8, 8, -9],\n [1, -9, -2, 9],\n [3, -2, -2, 4]]\nB =\n[[8, -4, 0, -5, 5],\n [8, -5, -10, -2, 10],\n [0, 3, -1, 5, 5],\n [7, 10, 9, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[0, -1, 10, 10, 8, -10],\n [-10, -7, -1, 6, -7, 4],\n [10, -9, 6, 10, 6, 0],\n [5, 9, 5, 5, 4, -9],\n [-2, 8, -9, -5, -2, -4]]\nB =\n[[1, 1, -5, -4, 9, -5],\n [-2, 0, 6, 3, -7, 4],\n [0, -1, 4, 10, -2, 5],\n [7, -9, 1, -3, -4, 0],\n [-7, -2, -2, -4, 9, 10],\n [10, 0, 2, -2, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 10, 10, -9],\n [6, 2, 5, 8],\n [-1, 6, -7, 2],\n [9, 5, -4, -5]]\nB =\n[[-5, -5, -10, -4, 10, 9],\n [1, -1, 0, -3, -3, -6],\n [7, 4, 10, 5, -10, -4],\n [4, -3, -7, 5, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1643", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -9, 2, -3, 3, -3],\n [7, 1, 9, -6, 5, -8],\n [8, -7, -9, -9, -4, 4],\n [-6, -3, 2, -6, -4, -10],\n [-1, 9, -5, 3, 2, -7],\n [-7, -2, 5, 0, 5, 7]]\nB =\n[[10, 7, 1, -4, 9, 7],\n [5, -10, 9, 6, -5, 7],\n [-4, 5, -4, -6, 0, 0],\n [0, -6, -7, -5, -9, 8],\n [-1, 9, -8, 2, 5, -1],\n [-6, -6, 8, 6, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 9, -3, -7, -3],\n [-5, -3, 5, 9, -6],\n [-10, 7, -8, 8, -10],\n [-8, 8, 10, -6, 5],\n [4, 9, -4, 2, -4],\n [7, -5, -9, 4, 10]]\nB =\n[[10, 5, 2, 7],\n [-3, 3, 8, -8],\n [1, -7, 4, -5],\n [-4, -10, 7, -7],\n [-8, -4, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1327", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 0, -7, 8, -10, -9],\n [-3, 7, 9, 3, 9, 0],\n [-2, 6, 2, -9, 4, -7],\n [-3, 2, 5, 6, -4, 3],\n [7, 1, 4, 8, -2, -6],\n [4, 1, 9, 3, -10, -2]]\nB =\n[[0, 2, 0, -10, -10, 3],\n [-1, 5, -2, -5, 8, 10],\n [-9, -2, 9, 4, 6, 2],\n [-1, -2, -7, 2, -8, 8],\n [3, 9, 7, -6, -5, 8],\n [-10, 10, -5, 4, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2589", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-8, -1, -3, 6, -3],\n [-3, 10, -4, -3, -6],\n [-2, 0, 7, -2, 5],\n [5, -4, 10, -6, 0]]\nB =\n[[-10, -10, 3, 5],\n [-3, -4, -5, 10],\n [2, -8, -6, -2],\n [-2, -10, -1, 9],\n [1, 1, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -7, 3, 8, -5],\n [6, -10, -3, -3, 6, -4],\n [-9, 9, -7, 7, -4, -4],\n [-3, 10, -9, 2, 4, 3]]\nB =\n[[-7, -4, 1, 10, -6],\n [-3, 1, -1, -9, 1],\n [-8, -3, 6, 10, 9],\n [-8, -6, 8, 1, 0],\n [-10, -4, 2, 1, 8],\n [6, 1, -9, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1237", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[9, 5, -6, -9],\n [5, 3, -9, -1],\n [-3, 7, -2, 5],\n [-4, 8, -10, 1],\n [-9, -5, 6, -2]]\nB =\n[[5, -9, -2, -2, 3],\n [-8, 2, 3, -1, 10],\n [0, -7, 9, -1, -1],\n [5, -5, 7, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 6) of the product matrix AB given:\nA =\n[[3, 7, 5, -4],\n [-2, -5, -9, -2],\n [5, -6, 1, 9],\n [-9, -1, -10, 1],\n [6, -9, -1, 7],\n [5, -3, -8, -4]]\nB =\n[[1, 7, 1, -6, -10, 0],\n [4, -4, -1, 10, -6, -9],\n [-7, 5, 1, 3, -9, -6],\n [-5, -10, -5, 7, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-1, -1, -4, -10, 3, 2],\n [1, 10, -2, 6, 8, 7],\n [-9, -7, -7, 5, -5, 3],\n [-2, 6, 1, 5, -6, 1]]\nB =\n[[2, 7, -10, 2, 5, 7],\n [3, 4, -1, -7, 3, 9],\n [-1, 8, 5, 9, 8, 10],\n [-1, -1, 2, 0, -5, -5],\n [-9, -1, -1, 7, -9, -2],\n [-9, -9, -10, -1, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 9, 1, 8, 7],\n [-3, 9, 3, -7, -8, -4],\n [4, -1, -1, -10, 1, -4],\n [-7, 10, 5, -4, -7, -2],\n [-6, 4, -4, 1, 0, 5],\n [-6, -6, 8, 10, 3, -9]]\nB =\n[[4, -8, 9, 8, 3, 3],\n [-4, -10, 9, -9, 1, -1],\n [10, 5, 9, 3, 5, 5],\n [10, 7, 8, 2, -5, 1],\n [-1, 3, 5, 6, -4, 0],\n [-5, -9, 2, 1, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, 6, 2, 5, -10],\n [-7, -1, 7, 8, 4],\n [6, -5, -9, -8, 0],\n [8, -2, -4, 6, -5],\n [-2, -2, 10, 8, -4],\n [-7, -5, -7, 0, -1]]\nB =\n[[-5, -4, -4, -7, -4, 5],\n [-3, 7, 7, -4, 7, -9],\n [-1, 2, -7, 5, -6, -3],\n [-6, -6, 8, 9, 9, 2],\n [9, 8, -10, -1, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -5, -2, 10, -6, -6],\n [2, 1, -1, -8, -8, -3],\n [-9, 2, 0, -1, 10, -8],\n [0, -10, 0, -3, 3, -7],\n [8, -4, 10, 1, 4, -7],\n [10, -1, 1, -5, 4, 4]]\nB =\n[[-5, 4, -1, 8],\n [-9, -3, -9, -9],\n [2, -2, -4, 4],\n [-1, -7, 10, -4],\n [2, 9, -4, 7],\n [-6, 6, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1759", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -3, 6, -9, 7, 2],\n [8, -10, 8, -8, 10, -7],\n [-7, -4, -4, 2, 3, -7],\n [2, -4, -1, -9, 3, 5],\n [-7, -10, 7, 4, -3, 5],\n [9, -10, -3, -9, 7, -8]]\nB =\n[[-4, -2, 4, 1, -3, -6],\n [4, -5, 9, 9, 7, -1],\n [4, -4, -5, 2, -3, -8],\n [-5, 8, -9, -4, -7, -1],\n [-4, -4, 6, -9, -10, -10],\n [7, -10, 9, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1640", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -5, -10, 9, 8, -2],\n [-2, 2, -9, -10, 10, 3],\n [10, -10, -3, -9, 3, 4],\n [5, -1, 3, 2, -6, -7],\n [-7, 7, 1, -6, 1, 7],\n [3, -10, -6, 9, -8, -1]]\nB =\n[[-7, -7, 5, -9],\n [-1, -3, 10, 9],\n [10, 2, -8, 6],\n [-3, -10, 5, 6],\n [5, -6, 10, -8],\n [-6, 2, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-571", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -4, -6, -8, 6, -4],\n [2, 9, -6, 7, 1, -6],\n [-1, -7, -9, -9, -9, -6],\n [3, 2, -6, 5, 1, -5]]\nB =\n[[-5, 7, -7, -9, 1, 3],\n [6, 1, 2, -3, 8, -3],\n [-3, 4, 1, 2, 7, 2],\n [3, 8, -2, -8, 7, -3],\n [-9, -10, -4, 4, 10, 1],\n [3, -5, 1, 0, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 9, 6, 0],\n [3, -6, 7, 9],\n [3, 2, -8, -5],\n [-3, 6, 2, -3],\n [7, -7, -7, -5],\n [-3, -7, -1, -1]]\nB =\n[[3, -7, -2, -1, -2],\n [-8, 8, 0, 9, 1],\n [-10, -10, -2, 1, -6],\n [-3, -4, 8, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 5, -2, 6],\n [6, 4, 7, -10],\n [-8, -4, -4, -6],\n [2, -1, -3, 6],\n [-6, 7, -9, 0],\n [3, -5, -10, -4]]\nB =\n[[10, 5, -7, -3, 2],\n [-10, 1, -5, -2, 3],\n [-9, 7, -1, 10, -3],\n [10, 1, -7, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -3, 1, -5, 3],\n [-4, 5, 2, 5, 10],\n [5, 8, -1, -9, -4],\n [0, -7, -8, -7, 3],\n [-7, 7, 10, -4, -5],\n [10, 5, 8, 3, 3]]\nB =\n[[-2, -10, -4, -4, 5],\n [-10, 5, 3, 10, 1],\n [4, 6, -1, 4, -6],\n [-1, 3, -5, -2, -5],\n [-7, -6, -7, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1723", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-2, -5, -5, 9, -5, -10],\n [-9, -7, -6, 4, 4, 3],\n [4, -8, -6, -2, 3, -1],\n [6, -9, 7, 2, -4, 3],\n [0, 1, -5, -8, -6, 3]]\nB =\n[[-7, -1, 0, -10, -6],\n [-1, 3, -5, -9, -10],\n [-9, 1, 7, -8, 10],\n [-2, 7, -8, -2, 7],\n [7, 10, 2, 1, 1],\n [-6, 8, 10, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 4, 8, 7],\n [-10, 3, 5, -4],\n [-6, 10, -6, 0],\n [-3, 6, -8, -6]]\nB =\n[[-10, -7, -7, -3],\n [3, 4, 0, 3],\n [-10, -6, 10, -4],\n [4, 6, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "999", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -9, 2, 7],\n [-5, 3, 0, 4],\n [8, -10, -3, 9],\n [3, -6, 1, -8]]\nB =\n[[9, -9, 10, 4],\n [-8, -3, -7, -7],\n [9, 4, 2, -6],\n [9, 1, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 3, 3, -9],\n [-1, 8, -4, 0],\n [-10, 6, 6, -5],\n [8, -9, 8, -8],\n [-2, -10, -1, -6],\n [-6, 3, 7, 3]]\nB =\n[[-9, 10, -8, -7, 9, -10],\n [5, 3, -6, 5, 10, -1],\n [9, 6, 6, 1, -8, 4],\n [-2, -7, 3, 4, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -2, 9, 1, -4],\n [-5, -9, -4, -9, -9],\n [7, 9, -5, 10, 6],\n [6, -3, 6, -5, 8],\n [-5, 8, -4, 7, -4],\n [-7, 9, 1, 5, 9]]\nB =\n[[4, 10, 1, -9, -10],\n [-9, 6, -6, -8, 8],\n [-10, 8, 6, 5, 5],\n [2, 1, -2, -6, -3],\n [8, 4, 10, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[10, 8, -8, 9],\n [3, -6, -1, -3],\n [0, 10, -5, -1],\n [5, 2, -10, -1],\n [3, 4, -9, -7],\n [-4, 5, -4, 3]]\nB =\n[[8, 5, -7, 3],\n [2, -9, 7, -5],\n [-10, 2, -2, 5],\n [3, 8, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -10, 8, -7, 10],\n [10, -10, 7, 7, -6],\n [6, 3, 1, 8, -10],\n [-8, 1, -4, 7, -3]]\nB =\n[[4, 6, 10, 0, 10],\n [-4, 7, 3, -3, 5],\n [-7, 2, -7, 6, -8],\n [0, 1, -8, -10, -5],\n [6, -8, -6, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-425", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 1, 0, 3],\n [-5, 4, -10, 2],\n [9, 10, 7, -3],\n [-7, 2, -9, 0],\n [4, -6, -6, 0]]\nB =\n[[3, 10, 9, 3, 8],\n [-7, 9, -9, 10, -5],\n [3, 0, 3, 7, 7],\n [10, 10, -7, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -5, 9, -8],\n [6, -9, 8, -3],\n [3, -7, 2, -4],\n [8, -3, -8, 6],\n [-6, 2, 5, -8]]\nB =\n[[7, 10, 10, -1],\n [-2, -7, 9, 3],\n [9, 1, 3, -10],\n [-8, 0, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -7, 5, -2],\n [4, -7, 3, 3],\n [1, -6, -7, 10],\n [5, 5, -9, 2]]\nB =\n[[-9, -6, -1, 6, -10, 10],\n [-5, 8, -10, -8, 0, -8],\n [8, 10, -6, -4, -1, -5],\n [2, -7, -7, 2, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -1, -8, -10],\n [-5, 9, -1, 3],\n [-1, -5, 5, 3],\n [-10, -1, 6, 9],\n [-9, 3, -7, 9],\n [-10, -8, 4, -4]]\nB =\n[[-5, -2, 5, 5, 6, 10],\n [-8, 10, -5, -2, 3, 6],\n [-5, -6, -9, 6, -8, 9],\n [7, -9, -8, 9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-5, -1, 1, -10],\n [-8, 10, -7, 8],\n [-8, 6, -7, -6],\n [5, -6, 9, 8],\n [-7, 6, -5, 6]]\nB =\n[[4, -4, 7, 8, 3],\n [-7, -4, 5, -5, 2],\n [1, -1, 1, 4, 3],\n [-7, 2, 5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -10, -1, -3],\n [-4, -3, -8, 1, 0],\n [-5, -5, 7, 6, 9],\n [-6, 0, 4, -3, -9],\n [4, 9, 3, 2, -5]]\nB =\n[[3, 8, -1, -6],\n [8, -3, 2, 7],\n [-6, 6, 3, 1],\n [3, 6, -4, -2],\n [-1, 10, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 10, 8, 7, 7],\n [6, -6, 3, -2, -3, -10],\n [-6, -8, 8, -3, 10, -10],\n [3, -3, -2, -6, 5, 9],\n [2, -1, 2, 1, -3, -9],\n [-9, -3, -2, 4, -4, 0]]\nB =\n[[2, -5, 10, 2],\n [7, -9, 0, 9],\n [-1, 1, 5, 7],\n [4, 8, -1, 1],\n [-4, 3, -2, 8],\n [5, 2, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1531", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[8, -8, -1, 8, 8],\n [-3, -9, 2, -10, -5],\n [4, -2, -10, 8, 8],\n [-10, -9, 0, -2, -2],\n [2, 5, 6, -5, 5]]\nB =\n[[-7, -4, -6, 1],\n [4, -6, 3, 5],\n [-2, 6, 6, -3],\n [3, -4, 4, 9],\n [9, 10, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 6, 6],\n [6, 0, -4, 10],\n [-2, 6, 1, 1],\n [-7, -2, -7, 9],\n [4, -5, 2, 1]]\nB =\n[[8, 8, 5, 8, -5, 5],\n [0, -6, -5, -2, 10, 10],\n [-5, 3, -10, 7, -9, 1],\n [1, 5, -1, -6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -9, 3, 1],\n [3, 7, -9, 10],\n [-9, -8, 4, 6],\n [-1, -10, 5, 2],\n [5, -10, -5, -6]]\nB =\n[[-3, 6, 9, 8, 4, 10],\n [-9, 4, 5, -5, 5, 2],\n [0, -6, 3, -3, -8, 2],\n [2, -4, -2, -1, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 0, -5, 2],\n [8, 5, 10, -1],\n [-4, 8, 1, -1],\n [0, -9, 5, -3],\n [-6, 2, 4, -10],\n [7, -8, 6, 1]]\nB =\n[[2, -10, -7, 3, -8, -1],\n [-2, -9, 2, 6, 4, -4],\n [-3, 3, 5, 4, 8, -8],\n [-4, -3, -2, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 7, 8, 7, 7, -9],\n [1, 3, -4, 0, -9, -1],\n [0, 8, -5, 10, 4, -2],\n [6, -8, -9, 8, -2, -7],\n [0, 0, -8, -6, 8, -6],\n [1, 9, -5, 9, -8, -3]]\nB =\n[[-8, 6, 9, -2],\n [8, 9, 8, 7],\n [-2, -4, 8, -4],\n [-7, 7, 8, 4],\n [2, 7, -8, 1],\n [7, 10, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -5, 0, -7, 2, 7],\n [-4, -9, -9, 9, 3, -2],\n [-3, -9, 9, -5, 2, 9],\n [-9, 0, 7, 8, -4, 9],\n [-3, -5, -2, -9, -4, -1],\n [6, 4, -6, 3, 4, -6]]\nB =\n[[2, -4, -8, 3, -1],\n [-7, -10, -4, -1, 6],\n [-5, 7, 8, 9, -2],\n [-5, 6, -1, -7, -7],\n [7, 1, -5, -10, -7],\n [-10, 10, 4, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "755", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 8, -5, -4, 0, -2],\n [3, 4, 5, 3, 0, -10],\n [-7, -8, 10, -9, -6, 0],\n [2, 0, -3, 4, -5, 9]]\nB =\n[[3, -7, 2, -5, 8, -10],\n [8, 9, 1, -8, 1, -2],\n [0, -1, 0, 7, 9, 6],\n [-10, 3, -8, -5, -8, 2],\n [-5, 6, 6, 8, -7, -6],\n [5, -4, 0, -2, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1609", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -5, 3, -2],\n [3, 6, 3, 7],\n [6, 1, -7, -8],\n [6, 2, -8, 7],\n [-5, -9, -4, -2],\n [3, 7, 3, 5]]\nB =\n[[-6, 3, 2, -7, 4, 9],\n [-10, 10, 0, 3, 8, 9],\n [-6, 8, 2, 10, -8, -9],\n [-2, -8, 2, 4, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -5, -7, 5, 6],\n [7, 3, 10, 5, 1],\n [7, 7, 8, 2, -4],\n [-3, -10, 5, 8, -1],\n [0, -9, 9, 3, 5],\n [-7, -2, 1, 0, 3]]\nB =\n[[7, -1, -1, -4, 9, 4],\n [3, 7, 1, 8, 4, -10],\n [0, 8, -4, 3, 7, 2],\n [2, 6, 2, 1, -1, 10],\n [7, -10, 9, -8, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2348", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -9, 3, 0, 6],\n [-8, 3, 3, -5, 0, 8],\n [8, -7, -2, -3, 10, 3],\n [-5, 0, -10, -7, 4, -5],\n [-9, 2, 7, -3, 0, 10]]\nB =\n[[6, -2, 3, -5, -10],\n [5, 3, -2, -3, -1],\n [-3, 10, 9, -10, -5],\n [-4, 3, 1, -7, -8],\n [-7, -9, 0, 1, -9],\n [2, 10, -9, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-3, 0, 2, -3, -8, 2],\n [3, 3, -6, -7, -1, -10],\n [-8, 3, 9, 6, 2, 5],\n [3, 3, -5, -9, -7, 5]]\nB =\n[[2, 9, -3, 6, -7, 9],\n [10, -10, -8, 2, -4, -5],\n [-9, 9, -5, 8, -2, -5],\n [1, -1, -6, 3, -4, 2],\n [-4, -10, 5, -7, -8, -4],\n [9, -2, 5, 2, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, 8, -2, 7, 4],\n [5, 4, -2, -6, -9, 9],\n [-7, 3, -10, -6, -7, -9],\n [7, 7, 7, -8, -1, 7],\n [-1, 9, 8, -7, -3, 3]]\nB =\n[[-4, 6, -7, 2, -4, -6],\n [-8, 10, -1, -2, 2, -9],\n [-5, 9, -6, 10, 5, 7],\n [8, -6, 9, -4, 4, -6],\n [-3, 0, 8, -1, -9, 10],\n [8, 2, 1, -9, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2405", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 5, 5, 5],\n [-1, -8, -4, -10],\n [8, -7, -5, 8],\n [-8, -2, 5, 7],\n [8, 7, -4, 2],\n [0, -9, -2, 4]]\nB =\n[[-9, -6, -4, -5, 6, 6],\n [6, 2, -3, 5, -4, 4],\n [6, 10, -4, -5, 7, -7],\n [4, -7, 2, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1597", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -7, -10, 2, -3, 9],\n [3, 3, -3, 2, 2, 8],\n [-5, -4, -6, 2, 4, 3],\n [7, -7, 1, -7, -5, 5]]\nB =\n[[-5, 9, -3, 6, 7, 0],\n [-9, 8, -2, -5, -8, 3],\n [-2, 1, -4, -10, 1, -3],\n [-2, -2, 3, -8, 7, -6],\n [8, -9, 1, 10, -9, -1],\n [8, 10, 1, 9, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1770", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[2, 9, -10, -6, -1],\n [-10, -5, -1, -8, -5],\n [-5, 8, -3, -2, -2],\n [9, 9, -3, 5, 10]]\nB =\n[[-5, 0, 1, 10, 7],\n [-1, 2, -6, -10, 9],\n [-8, 7, 2, 0, 4],\n [2, 3, -4, -7, 8],\n [-1, -2, -9, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 1, -10, 4, -3],\n [0, 9, 4, -2, -5],\n [-9, -1, 1, 10, -8],\n [1, 10, 7, 0, -9],\n [5, 0, 4, 4, 5],\n [-2, -3, -4, -7, -10]]\nB =\n[[3, 9, 10, 6],\n [-10, -4, 5, 1],\n [5, -5, -4, 9],\n [9, 2, 10, 4],\n [8, -7, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[10, -1, 7, 9],\n [-10, 10, 5, 3],\n [10, -1, -7, -7],\n [10, 4, 1, 0]]\nB =\n[[4, -10, 10, -8, -5, 5],\n [1, -3, 9, -1, 6, 0],\n [4, -4, 0, -4, -7, -9],\n [7, -9, 3, 0, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -4, 3, -3],\n [4, 9, 8, -2],\n [-4, 1, 4, 1],\n [-7, -6, 10, -5]]\nB =\n[[10, 7, -3, -7, 2],\n [2, -3, 8, -5, -9],\n [6, -1, -9, 2, -1],\n [-8, -3, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, 6, 2, -7, -9],\n [-1, -3, 6, -5, -9, -10],\n [8, 5, 6, 9, 4, -8],\n [-5, -8, 5, 7, -2, -5]]\nB =\n[[9, -4, 5, -9, 5, 1],\n [-2, -8, 5, -3, -2, 9],\n [-10, 0, -8, -10, -1, -4],\n [7, -2, 6, 4, 0, 4],\n [-1, -8, -2, -9, 0, 7],\n [-3, 0, 6, 0, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -6, -6, 4],\n [10, 9, 9, 6],\n [-1, 0, 4, -1],\n [-3, 8, 5, -7]]\nB =\n[[-10, -7, 2, -4, -2],\n [3, -3, 5, -2, 4],\n [6, -6, 5, 7, 6],\n [-7, 0, 5, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1129", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -4, -1, 2, 5],\n [-1, 8, 4, 4, -6],\n [0, 4, -8, -4, 10],\n [2, -2, -3, 5, 1]]\nB =\n[[10, -2, 6, 6, 8, 3],\n [1, 8, 4, 9, -7, 1],\n [-6, -3, 5, -4, -6, 7],\n [6, -1, -5, 6, 2, 9],\n [-1, 0, 0, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 6, -2, 5, 7, -7],\n [0, -10, -3, -4, 1, 8],\n [-6, -5, -5, 3, -1, -4],\n [10, -8, 1, 1, 7, -5],\n [-10, 0, 10, 4, -4, 3],\n [1, -3, 1, -8, 6, 9]]\nB =\n[[1, 5, 8, -7, -8, -6],\n [-4, 10, 1, -8, 2, -5],\n [1, 2, -7, 10, -8, 2],\n [4, 1, -4, -2, 0, -2],\n [10, -10, -1, -7, 1, -6],\n [-5, -3, 1, 2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[8, -10, -4, 6, 2, 0],\n [7, 4, -9, -8, 3, 0],\n [8, 4, 2, -5, 2, -2],\n [-3, -1, -5, 9, -2, 4]]\nB =\n[[5, 10, -8, 0],\n [-3, -8, -5, -5],\n [9, 9, -5, -10],\n [-4, -2, 8, 10],\n [4, -10, -8, -10],\n [-5, -5, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 2, -1, 1],\n [9, 10, 7, -4],\n [7, -1, 1, -3],\n [-9, 4, 4, -1],\n [-10, 6, 1, -5],\n [8, 8, -2, -5]]\nB =\n[[0, -4, 0, -6, 10, 3],\n [-10, 0, -1, 2, -1, -5],\n [2, -4, 8, -4, 7, -4],\n [1, -7, 9, -10, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1751", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[3, -7, -9, 0, 7],\n [4, -7, -7, -5, 6],\n [-2, -7, -10, -7, -10],\n [-6, 1, 7, -7, 10],\n [4, 3, -9, 6, 6],\n [-6, 8, -10, -2, -5]]\nB =\n[[5, 3, -10, 7],\n [9, -10, -4, -5],\n [-7, 3, -9, 8],\n [-8, 7, 4, -5],\n [6, 9, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -1, -6, -8, -6, 4],\n [3, -9, -7, -2, 0, -1],\n [-4, 3, 5, -4, 0, 1],\n [1, 9, 5, -9, -3, 1]]\nB =\n[[2, 9, -8, -7],\n [3, -6, 2, 7],\n [0, -10, -8, 9],\n [-5, -6, -1, -3],\n [-2, 6, -4, -4],\n [0, 0, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1094", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-6, -4, -10, -6, 6],\n [0, -2, -5, 10, -3],\n [-10, 5, -6, -2, -3],\n [-10, 9, -2, -5, -6],\n [1, -4, 8, 6, 8],\n [-3, -9, 1, -8, -9]]\nB =\n[[8, -4, 1, 10, 3],\n [1, -7, 3, 7, -1],\n [6, 1, -1, 7, -2],\n [-9, 6, -2, -3, -9],\n [5, 9, -6, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 2, -2, -10, -1],\n [-6, -9, 3, 5, -4],\n [5, -3, -6, 4, -7],\n [8, -10, -10, 3, 0]]\nB =\n[[-1, -7, 0, -1, -8, -8],\n [3, -9, 2, 8, -4, 7],\n [-7, -4, -1, 5, -2, 1],\n [-6, -5, 5, -9, -2, 9],\n [9, 0, -1, -8, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1407", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, -4, 9, -1, 7],\n [-10, 0, -5, 0, 10],\n [-3, -8, 1, -10, -2],\n [1, 6, 8, -4, 5],\n [9, -8, -7, -1, -6]]\nB =\n[[6, 9, 8, -3, -10, -6],\n [-4, -9, -6, -3, -3, 7],\n [3, 3, -4, 4, -7, -10],\n [-5, 9, -9, -7, -4, -8],\n [3, 3, 5, 5, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, -2, 0, 2, 2, 10],\n [8, 3, 0, 1, -8, 3],\n [-4, 2, -1, 7, 1, -8],\n [-1, 0, 0, -2, 1, 0]]\nB =\n[[2, 10, 1, -8, -9],\n [5, 4, -7, 7, -5],\n [-2, -3, -10, -8, 0],\n [-7, 4, 3, 7, 3],\n [-6, -2, -9, -6, -10],\n [-7, -9, -6, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[4, 6, -2, 4, 0, 9],\n [4, -1, 1, -7, -5, -4],\n [5, -9, 3, -8, 5, -7],\n [-10, -4, 7, 5, -6, 7],\n [8, 4, -8, -9, -9, -10]]\nB =\n[[3, 6, 10, -8, -7, -8],\n [9, -6, -7, 0, 6, 0],\n [5, 6, 2, 3, 1, 8],\n [-6, 6, -1, 3, -1, 0],\n [5, -10, 4, 3, -4, -2],\n [3, 5, 9, -9, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -6, -2, 6, 5],\n [0, 0, 7, -5, 0],\n [9, 3, -7, 8, -2],\n [-1, -5, 2, -2, 8],\n [-7, 4, 5, 0, 4],\n [0, -7, 10, 6, -10]]\nB =\n[[6, 4, -9, -9, -7],\n [1, -2, -6, -7, -3],\n [10, 5, 8, 10, -4],\n [7, 4, 8, -10, 9],\n [-2, 10, -10, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 4, -6, 10],\n [9, 8, 10, 3, -10],\n [6, 4, -7, 7, 1],\n [-2, 3, 10, 6, 8],\n [8, -3, -1, -9, -9],\n [-7, 1, 2, 10, 1]]\nB =\n[[-5, -10, -3, 1, 0, -1],\n [-8, -7, -5, -1, -3, -7],\n [-8, -8, 10, 4, 4, -1],\n [8, 7, 5, 5, -5, -9],\n [-6, -4, 4, 2, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-315", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 8, 2],\n [0, 2, 2, 7],\n [9, -6, -10, -9],\n [3, 7, -5, -1],\n [-10, 10, 2, -2],\n [-6, -1, -8, -7]]\nB =\n[[9, -4, 4, -8],\n [-5, -5, 6, 10],\n [4, -7, 5, -6],\n [3, -8, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1493", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -2, 7, 7],\n [-4, 4, 8, -10],\n [0, -9, 2, -4],\n [1, -8, -2, -5],\n [-4, -3, 1, -9],\n [-5, 8, 5, -1]]\nB =\n[[-9, -4, 3, -9, -3, -2],\n [2, 4, -8, 1, -3, 4],\n [2, 1, -8, -6, -7, 7],\n [-3, 10, -6, -8, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2057", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, 3, 4, 8, 8],\n [3, 1, -10, 5, -9, -4],\n [-6, 0, -3, -5, -9, 10],\n [-10, -7, -7, 3, -8, 1],\n [0, -5, -3, -5, -1, -6],\n [10, 2, -10, 7, -3, 5]]\nB =\n[[5, 10, -2, -5, 0, 2],\n [10, 8, -6, -6, 1, -4],\n [1, -9, 1, 4, 0, -1],\n [6, -5, -9, -9, -7, 2],\n [-5, -7, -3, 7, 7, -9],\n [1, -8, 5, -4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -1, 8, 0],\n [-5, 7, -5, -6],\n [0, -10, -10, 3],\n [-3, -4, 7, 8],\n [-10, 10, -9, -6],\n [5, 7, 5, 6]]\nB =\n[[8, -1, 4, -6],\n [9, -9, 7, -7],\n [6, 4, -7, -3],\n [4, 8, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 6, -4, 10, -6, 5],\n [-1, 3, -2, -9, 6, 0],\n [7, 6, -1, -1, 7, 0],\n [-5, 2, -1, 8, 10, 8]]\nB =\n[[-8, -6, 1, -10, -9, 2],\n [-9, 5, -9, 7, 8, 1],\n [-2, 7, 0, -10, 5, -10],\n [2, -2, 0, 3, 9, -6],\n [10, -8, -7, 2, 5, 0],\n [-10, 6, 4, 9, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, 3, -7, -3, 9],\n [9, 7, 4, -2, 2],\n [-10, -9, 3, 2, 5],\n [-10, -7, -10, 7, -2]]\nB =\n[[-6, -9, 8, 0, 4],\n [-7, -9, -2, 4, 8],\n [-2, -8, -5, 7, 9],\n [0, 9, 9, 1, 10],\n [-8, 7, -8, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 9, -7, 10],\n [2, 9, 10, -5],\n [-3, -9, 10, 9],\n [5, 7, 10, -9],\n [10, -8, 0, 1]]\nB =\n[[-9, 1, 7, 10, 7, -10],\n [-8, 10, 4, -4, -8, -3],\n [-9, 1, 0, 0, 1, 8],\n [3, 4, 8, -9, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2237", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -10, -9, 5, -4, 1],\n [10, -2, 5, 1, -5, 3],\n [8, 10, 1, 7, 3, -4],\n [-3, -6, -6, 9, -10, 9],\n [-9, 0, 10, 0, -4, -6],\n [-6, 1, 3, 4, -8, -5]]\nB =\n[[8, -10, 5, 3],\n [9, 5, 0, -2],\n [1, 3, 6, -7],\n [8, 10, 4, 2],\n [9, -4, -8, -1],\n [-9, -8, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -7, 6, 3, -6],\n [8, 2, 2, 3, 9],\n [-3, 5, 2, -4, 6],\n [8, 5, 0, 8, -4],\n [-3, -4, -2, -2, 4],\n [-9, 10, -6, -10, 9]]\nB =\n[[5, 4, -8, 6, 4, -4],\n [3, -4, -7, 1, -6, -5],\n [2, -3, -9, 8, 2, -7],\n [1, 0, -7, -9, -4, 1],\n [9, -10, -8, 4, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, -9, 2],\n [2, -2, -5, -9],\n [-8, -2, -3, -10],\n [4, 0, 5, -1]]\nB =\n[[0, -5, 4, 3, 0, 3],\n [-7, 5, 10, 1, 10, -7],\n [-7, -6, -9, 10, 8, 3],\n [-6, 1, -4, 8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 6, 10, 6],\n [-7, -10, -9, 8],\n [-8, 0, 7, -7],\n [6, -2, -1, -9]]\nB =\n[[-9, -2, 3, 7, 0, -5],\n [-2, -6, 3, -4, 4, -2],\n [3, -9, 2, 6, 4, -5],\n [-6, -8, -10, 1, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 10, -8, -6, -3],\n [10, 5, 3, -5, 6],\n [-2, 5, -5, -10, -4],\n [8, -6, -4, -4, -2],\n [-9, -10, 8, -8, -1]]\nB =\n[[-1, 10, 1, 1],\n [-8, 10, 3, 10],\n [-10, 6, 0, 5],\n [6, 6, 10, -6],\n [-7, -10, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 10, 3, -2, 5, 6],\n [9, -1, 7, -10, 7, 1],\n [8, -10, 10, -10, 4, 8],\n [3, 1, -3, -5, -4, 1],\n [-10, 9, -3, 5, 10, 10]]\nB =\n[[-2, -5, -4, -4, -6, 8],\n [9, 3, -8, 9, -5, -9],\n [-5, 10, 4, 8, 7, 2],\n [5, 8, 10, 8, 5, 0],\n [-6, 1, 2, -4, 3, 6],\n [9, -8, -3, -1, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -8, 8, 7, 3],\n [-9, -4, -10, -3, -10],\n [6, 2, 5, -9, -7],\n [-4, 0, 1, -3, 6],\n [-4, 9, -3, -6, 10],\n [1, 8, 7, 8, -4]]\nB =\n[[-3, 10, -3, 8],\n [2, -4, -7, -7],\n [-2, -3, 2, 4],\n [6, -3, 6, 1],\n [-8, 1, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 7, 0, 6, -4],\n [-1, 6, -10, -8, -3],\n [6, -3, 9, -8, -10],\n [-9, 6, -8, 10, 8],\n [-3, -5, 4, -10, -5],\n [0, 4, 10, -8, 2]]\nB =\n[[-6, -3, -1, -2],\n [2, -5, 5, -1],\n [-4, -3, 7, 8],\n [10, 2, 8, 4],\n [9, -10, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[1, -10, 9, -8],\n [-9, -6, -7, 7],\n [7, -10, 7, 2],\n [-9, -5, -10, 3]]\nB =\n[[-5, -10, -10, 10, -6],\n [-9, -7, -3, -9, 1],\n [9, 7, -6, 6, -2],\n [-6, 1, 4, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 9, -1, 5, 8, 8],\n [-2, -10, 10, -10, -7, 8],\n [-10, -4, 1, 8, -4, 9],\n [6, 8, -10, 9, 6, 1]]\nB =\n[[1, 5, -6, -10, 5, -7],\n [-5, -8, 8, -2, -7, 9],\n [-5, -10, -2, -8, -5, -4],\n [1, -7, 9, 3, 10, -8],\n [1, -9, 5, 8, -7, -5],\n [1, 0, 9, -1, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 4, 2, -3, 0, -8],\n [2, 3, 0, -1, -7, -5],\n [-4, -4, 0, 2, 8, 2],\n [-2, 3, -9, 9, 9, 3]]\nB =\n[[7, -9, -1, 0],\n [9, -4, 3, 9],\n [7, -6, -6, -1],\n [10, 9, -1, 10],\n [5, -3, -10, -4],\n [-8, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -8, -7, -10, 5],\n [-6, 5, 3, -1, 0],\n [-2, 4, 4, -9, 3],\n [10, -3, -9, 6, 6]]\nB =\n[[-5, -8, -1, -1, -1],\n [-6, 7, 2, 3, 4],\n [3, 4, -7, -7, -2],\n [-8, 8, 7, 0, -9],\n [-7, 2, 9, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-3, -8, 3, -5],\n [-5, 4, -2, 3],\n [-2, -7, -5, 7],\n [-7, 8, 10, -10]]\nB =\n[[-5, -7, 6, 3],\n [-9, -3, -2, 6],\n [6, 10, 10, -2],\n [-10, 2, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -10, -8, 6],\n [4, 3, 3, 9],\n [0, -9, 3, -6],\n [-3, 6, 2, 10],\n [-9, 10, -2, -6]]\nB =\n[[9, 2, -10, -5, -3],\n [10, 4, -2, -6, -5],\n [8, 9, 6, -3, -1],\n [-8, 1, 9, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1275", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 9, 7, 6],\n [-6, -6, -3, -8],\n [8, -7, -7, -9],\n [-10, -1, 10, -9],\n [-7, 5, 8, -4],\n [5, 8, -2, 4]]\nB =\n[[7, 8, -3, -4, 8, 2],\n [9, 1, -7, -2, -2, 7],\n [-7, -5, 7, -3, -6, 7],\n [4, 0, -8, -1, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -2, -3, 10, 5],\n [10, -9, -1, -7, 2],\n [6, -10, -9, 3, -5],\n [8, -8, -10, -1, 5],\n [7, 5, 5, -1, -7]]\nB =\n[[-10, 10, -2, 3, 9],\n [-10, -4, 1, -10, -7],\n [5, -3, 9, -5, -6],\n [-3, -10, 7, 10, 4],\n [-2, -1, -5, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 5, -2],\n [-3, 6, 2, 5],\n [-1, -7, 7, 6],\n [-8, -7, 2, -9],\n [2, 2, -3, -7]]\nB =\n[[-2, 4, 4, 1, 2, -5],\n [8, -6, -5, 9, 6, -3],\n [1, -4, -4, -2, -8, -10],\n [-7, 9, 3, -4, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, 5, -8, 9],\n [-5, 7, -10, -9, -10],\n [-5, 0, -9, 5, 0],\n [4, 0, 5, 2, 1],\n [2, 9, -3, -6, 10],\n [-5, -7, 6, -1, -2]]\nB =\n[[4, -10, -9, -1, 3, 1],\n [5, 7, 9, 6, 1, 1],\n [9, 6, -6, 0, 0, -8],\n [-9, 3, 1, -9, 2, 7],\n [-7, 8, 8, 5, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1856", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -4, 5, 2, 7, -7],\n [-8, 1, -4, -7, 6, -2],\n [-7, -5, 3, -5, 4, -4],\n [-9, 4, -5, -6, -8, -1],\n [9, 4, -10, -1, 4, -9],\n [9, -8, -7, 10, -8, 2]]\nB =\n[[2, -4, -2, 0, 9, -5],\n [6, -3, -10, -4, -2, 10],\n [-1, 4, 6, 1, -3, 5],\n [2, -9, 6, -3, 0, 2],\n [10, 5, -8, -9, -1, 5],\n [-10, 0, 6, -1, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2688", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 9, -10, 7, -8],\n [-5, 0, 4, 9, -10],\n [8, 8, -7, -7, -5],\n [4, 7, -7, -4, 5],\n [7, 1, -6, -10, -4]]\nB =\n[[-7, -8, -2, 5],\n [3, 9, 9, -10],\n [-10, 1, -6, 4],\n [3, -8, -2, 3],\n [-10, 0, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 0, 0, -4],\n [-9, -5, -1, -9],\n [2, 1, 5, -3],\n [-5, 1, 10, 1],\n [-2, 4, 6, -4]]\nB =\n[[3, 10, -3, -10],\n [-3, -9, -3, 9],\n [-7, 4, -8, -6],\n [0, -10, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, 7, -5, 3, -4],\n [-2, -10, -4, 9, 1, -8],\n [-6, -5, -5, 8, -9, 4],\n [0, 4, -2, -1, -7, 10],\n [6, -7, 4, 3, 2, 1],\n [-8, -1, 5, -7, 5, -1]]\nB =\n[[-7, 4, -5, -9, 10, -4],\n [-7, 2, -2, 7, 5, -6],\n [-2, 3, -2, -1, 9, -1],\n [-4, 5, 7, -8, -1, 0],\n [1, 3, -6, -4, 4, -8],\n [8, -9, 10, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2648", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -8, 10, -3, 9],\n [4, 10, 10, 5, 9],\n [0, -8, -3, -9, 8],\n [-10, -4, -5, 10, -3],\n [9, 6, -8, -3, 8],\n [2, -2, 5, 8, 8]]\nB =\n[[7, 0, 1, 9],\n [-3, -8, -3, -9],\n [0, 2, 1, 4],\n [10, 10, -7, 2],\n [5, -10, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 5, 6, 9, 6],\n [-1, 7, -4, 0, 2],\n [8, -1, -2, 2, -7],\n [6, -1, 8, -5, -6],\n [4, -3, -7, 0, 9]]\nB =\n[[2, 7, 3, 1, -10, -8],\n [-5, -4, 1, 2, 8, 10],\n [-5, 1, 9, -9, -5, -2],\n [-2, 9, 9, 1, 3, 2],\n [5, 10, -1, 9, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2034", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 1, -5, 2, 10],\n [-5, 3, -5, -5, 7],\n [2, 0, 8, -2, -10],\n [7, 1, -5, 1, -7],\n [5, 9, 2, 0, 3]]\nB =\n[[2, 10, -10, 7, 8],\n [-3, 1, -7, 4, 6],\n [-8, -8, 10, -1, -1],\n [8, 9, 4, -6, -5],\n [4, -3, -9, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -4, -2, 6, -9],\n [-5, 5, -2, -1, 0],\n [6, 7, 8, 0, 6],\n [10, 3, 9, -8, -10],\n [6, 1, 10, 9, -3]]\nB =\n[[9, 7, -8, -1, 2, -1],\n [7, -4, 10, 5, 10, 3],\n [-9, -8, 3, 9, -8, 4],\n [2, -6, -2, -9, 3, -7],\n [8, -7, 0, -4, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1973", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -10, -1],\n [10, -4, -3, -7],\n [-6, 6, 3, -6],\n [-2, -4, 8, -1],\n [-9, -8, 9, 3],\n [6, -4, -4, 7]]\nB =\n[[1, -5, -2, 8, -9, 1],\n [10, -1, 0, 10, 10, 1],\n [-7, -7, -2, -3, -2, -9],\n [3, -8, -2, -4, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2093", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-4, -2, -5, -10],\n [5, -2, 5, -3],\n [-8, -9, -6, 10],\n [9, -2, -10, 10]]\nB =\n[[9, 7, -10, 4, -1, 10],\n [-5, 8, -5, -2, 5, 6],\n [9, -5, -6, 6, 3, -5],\n [-9, -2, 8, -4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 4, -9, -5],\n [-2, 9, 1, -1],\n [8, -1, 9, 5],\n [3, -2, -9, -2]]\nB =\n[[-7, 7, -1, -7],\n [6, -10, 1, 5],\n [-1, -4, -5, -1],\n [2, 6, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "679", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[5, 5, -4, 3, 2],\n [1, -1, 7, -1, 9],\n [10, 10, -10, -2, 1],\n [6, -2, -10, 0, 2],\n [2, 5, -4, -2, -3]]\nB =\n[[5, 4, 0, -9, -5],\n [2, 9, -8, 6, 2],\n [0, 8, 1, 3, -4],\n [-10, -2, -9, -6, -9],\n [-3, 1, 0, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, -8, -9, -3],\n [-7, 9, 0, 3, -1],\n [-4, 8, -3, -4, 6],\n [6, 6, -2, -5, -1],\n [-9, 4, 1, -2, 7],\n [0, -4, -8, 3, 10]]\nB =\n[[8, 10, -10, -5, 4],\n [-10, -2, 2, -3, -3],\n [-2, -4, 3, -10, -2],\n [1, 9, -3, -3, 0],\n [4, 7, 6, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[4, 8, -3, 7, 8],\n [-2, -7, -5, -7, 10],\n [-1, 4, 6, 9, -9],\n [9, 10, 9, -1, 10],\n [-6, 5, 7, 9, -10],\n [-1, -9, 9, 7, 0]]\nB =\n[[-4, -3, 7, 9, -10],\n [9, -2, 0, -2, -5],\n [-2, -3, 5, 3, 1],\n [9, 10, 8, -7, -4],\n [2, -8, 2, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 2, -9, 3],\n [8, -6, -5, -4],\n [-3, 4, 0, -1],\n [2, -2, -7, -7],\n [1, 8, 5, -7],\n [-10, -9, 2, 7]]\nB =\n[[-2, 2, -7, -4],\n [1, 2, 2, 5],\n [-6, -4, 9, 6],\n [-2, 9, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, 1, -5, -7],\n [5, 10, 7, 9, -2],\n [-4, 9, -5, -5, 5],\n [-8, 1, -8, -2, 5],\n [-3, 4, -2, 2, -2],\n [9, 10, 1, -3, 7]]\nB =\n[[-6, -9, 6, -5],\n [-2, 1, -2, 3],\n [-8, -4, -9, 8],\n [-9, -10, 7, -2],\n [5, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 4, -3],\n [-7, 10, 7, -9],\n [1, 8, -8, 3],\n [0, 2, 8, 5]]\nB =\n[[10, -4, 7, -10, 2, -4],\n [-8, -1, -3, 4, -10, 2],\n [3, 9, 2, -9, 4, 6],\n [4, 0, -3, 1, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[2, -2, -2, -2],\n [5, 9, 7, -10],\n [-5, 6, 4, 3],\n [-8, 2, -8, 3]]\nB =\n[[5, -6, 5, 5, 3],\n [1, 8, 8, -9, 5],\n [-6, -2, 6, 1, 7],\n [-3, -10, -3, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -3, 0, 4, 1, 1],\n [-5, 7, 7, -7, 3, -8],\n [1, -4, 1, -6, -3, 0],\n [2, -7, -8, 0, 6, 0],\n [-2, 8, -2, -7, -3, -2]]\nB =\n[[0, -1, 7, 10, -3, 5],\n [-8, 1, 5, -10, 1, -9],\n [4, -5, 9, -10, 7, 3],\n [-1, -7, -3, 9, -6, -1],\n [1, 7, 5, 7, -2, 6],\n [-8, -10, -2, 0, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[1, -8, 3, -7, 6, -6],\n [6, 5, -7, -8, -8, -10],\n [2, -2, 0, 4, -5, -1],\n [-5, 2, 0, -5, -5, -1]]\nB =\n[[-1, 5, 6, 2],\n [2, -9, 7, 3],\n [3, 10, -2, -5],\n [-3, 5, 0, 5],\n [5, 5, -2, -9],\n [7, -7, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 7, 0, 4, -3, 7],\n [-10, 8, 9, -1, -8, -10],\n [-10, 6, -5, 8, -6, 10],\n [8, 3, -9, -10, -2, 10],\n [-5, 8, -7, -5, -8, -5],\n [10, 4, -10, 6, 0, -4]]\nB =\n[[5, 8, 5, -7, -9, 8],\n [-5, -10, 1, 10, -8, -2],\n [5, -1, 9, 8, 5, -8],\n [9, -1, -3, 7, 10, 10],\n [3, 8, -10, -4, -3, -7],\n [9, -1, 9, -3, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -6, 0, 0, 8],\n [-5, -2, 7, 8, -5],\n [-9, 3, 5, 2, -1],\n [-2, 1, -4, -3, 10],\n [6, -6, 5, 10, -6],\n [0, -2, 9, 1, -1]]\nB =\n[[-4, -9, 1, 2, 0, 6],\n [-5, -3, 9, 10, 8, 0],\n [-7, 8, 0, -7, 9, 10],\n [10, -1, 2, 0, -2, -5],\n [-4, -10, 8, -1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1927", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[3, -6, 3, 9],\n [7, -1, 7, 3],\n [4, 9, 5, -1],\n [-1, 2, 7, -6]]\nB =\n[[0, 2, 6, -4, -3, 9],\n [6, 0, 6, -10, -8, 7],\n [-3, 1, 10, -8, -1, -6],\n [-6, 7, 8, 0, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, 10, -6, 8],\n [-8, 8, 6, -7],\n [-3, -2, 0, 7],\n [9, -7, 8, 8]]\nB =\n[[-2, 3, 5, 1],\n [6, 6, 9, -1],\n [-1, -2, -2, -4],\n [2, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 2, -9, -7, -10, 5],\n [0, -7, 0, 1, 3, -9],\n [10, 5, -3, 8, 9, 7],\n [-4, 2, -10, 1, -9, -3],\n [6, -3, -8, -4, 3, 9]]\nB =\n[[0, 2, -2, 2],\n [-10, -2, 2, 9],\n [-9, -7, -1, 7],\n [5, 9, -8, 4],\n [9, 6, -6, -1],\n [6, 6, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -3, -7, 8, 7, 6],\n [-3, 5, -10, -4, 5, -7],\n [3, -7, -4, -2, -10, -6],\n [2, -1, -6, 8, -3, 3],\n [0, -3, 3, 1, -4, 3],\n [7, 7, 4, 5, 4, -1]]\nB =\n[[-4, 10, 9, 7, -4, -3],\n [4, 3, -5, 3, 5, 7],\n [-5, -1, 0, 2, 2, -1],\n [5, -8, 3, -9, 7, -1],\n [7, 5, -3, 8, 8, -8],\n [-10, 0, -9, -7, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, -9, 4, 6, -7],\n [1, 4, -4, 7, 10, 9],\n [9, 5, -9, -3, 4, -8],\n [0, 5, 1, 1, 5, 5],\n [0, 9, -6, 8, 8, -1],\n [-1, -3, 3, -9, 6, -2]]\nB =\n[[10, 10, -2, -10, 5, 3],\n [2, 7, 3, 4, -1, -1],\n [-8, 9, -4, -10, 6, -1],\n [-7, 10, -9, 9, -1, 0],\n [8, 10, -6, -9, -9, 6],\n [0, -3, 2, 9, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-1, -4, 3, -8, -9],\n [2, 1, 8, 3, 1],\n [3, 3, -9, -8, -2],\n [7, 4, -1, -2, 8],\n [6, -5, -8, 5, -8],\n [-9, -9, -2, 7, -10]]\nB =\n[[2, -9, 3, -10],\n [-6, 5, -8, -5],\n [-6, -10, -4, 5],\n [10, 10, -10, -5],\n [-2, -9, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -8, -4, 6, 2, 9],\n [-8, 0, -2, -1, -6, 8],\n [3, 9, 0, -10, -9, -8],\n [3, -6, 9, -4, 3, -10],\n [-6, 4, 6, 8, 9, -7]]\nB =\n[[0, -3, -2, 4, 0, -9],\n [6, -1, 0, 1, -9, 3],\n [8, -2, -1, 10, 0, -1],\n [-3, -5, 1, -7, -9, -2],\n [6, -4, -4, -3, 1, 8],\n [-6, -4, 3, 8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -4, 8, -1],\n [0, 2, -2, -7],\n [2, 0, 6, -2],\n [9, 3, 7, 7]]\nB =\n[[4, 3, 6, -6],\n [10, 9, 1, -7],\n [6, 1, -1, -1],\n [-2, 10, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -9, 10, 5, 7],\n [7, -9, -3, 3, 7],\n [-8, -9, -10, -9, 3],\n [-7, 5, 5, -9, 10],\n [10, 1, 4, 4, 8]]\nB =\n[[4, -8, 5, 5, 3],\n [7, 8, -1, 3, -2],\n [0, -10, 0, 9, 1],\n [-9, 2, -8, -2, 10],\n [-2, 4, -3, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, 7, -10, -2],\n [10, -8, 10, -9, -5],\n [-7, 3, 3, -3, 8],\n [-7, 7, -10, 6, -9],\n [-4, 9, -5, 10, -2],\n [-3, -9, 2, -2, 6]]\nB =\n[[-4, -5, -1, -2, -9, -3],\n [-10, -5, 4, -3, 3, 8],\n [10, -2, 1, -4, 3, 6],\n [-4, -5, 7, 8, 6, -4],\n [-1, 1, 3, -8, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2808", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-3, -4, 7, -8],\n [-1, 9, 4, 4],\n [-10, 1, -10, 6],\n [6, 9, -1, 5]]\nB =\n[[-2, -1, 2, -10, 8, -2],\n [-9, -1, -2, -10, -5, 2],\n [-10, -8, -6, 5, -2, -7],\n [-5, -7, -10, -2, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -6, 7, -7],\n [10, -9, -9, -6],\n [-9, 5, 7, 6],\n [6, 10, -1, -5]]\nB =\n[[-6, 2, 4, 7],\n [0, 10, -2, 9],\n [4, 8, 5, 1],\n [-4, -7, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "960", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 5, 5],\n [-9, 1, 5, -7],\n [8, 0, -2, 7],\n [3, 8, 6, 9]]\nB =\n[[-6, 0, 6, 0, 8, 7],\n [-5, 4, -3, 4, 3, -3],\n [9, 3, -2, -4, -3, 0],\n [-1, 5, 9, -8, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 3, 0, 7, 2, -10],\n [5, -7, -8, 10, -9, -6],\n [-10, -10, -9, 3, 1, 6],\n [3, -9, 8, 6, 3, -6]]\nB =\n[[-6, 6, 4, 1, -9],\n [-7, -9, 0, -10, -2],\n [7, -1, 8, -7, -5],\n [-1, -6, -3, -10, -9],\n [-8, 2, 5, -5, 8],\n [-6, 5, 4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1416", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 5, 8, 9, 5, -7],\n [-5, -3, 5, 8, 3, 4],\n [4, 3, 3, 7, -5, 6],\n [-5, -4, 3, -2, -4, -9]]\nB =\n[[5, 2, -8, 10],\n [10, 2, 3, 6],\n [-5, 5, 2, -6],\n [-9, 3, -10, -1],\n [7, -8, -2, -10],\n [-6, -6, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1063", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 0, 1, -7],\n [-6, -3, 4, 2],\n [-10, 2, 7, -7],\n [3, -3, 0, -6],\n [9, 3, -10, 3]]\nB =\n[[-6, 4, 3, -8, -1, 5],\n [-5, -5, -2, -4, 3, -10],\n [5, -10, -10, -7, -7, -3],\n [-7, 3, -1, -9, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -2, 7, 9],\n [-1, 8, 7, -10],\n [-1, -2, 6, 1],\n [10, -1, 0, -2],\n [-2, 7, -4, 5],\n [-7, 1, 5, 4]]\nB =\n[[-3, -8, 1, 7, -8],\n [3, 1, -7, 8, -9],\n [-4, -3, 3, 3, -8],\n [-8, -5, -6, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1045", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 8, 5, 4, 2],\n [-6, -10, 2, -4, -10],\n [-3, -8, -7, -8, 9],\n [10, -5, -7, 7, -4],\n [6, -2, -5, 2, 7],\n [10, 2, -8, 4, 6]]\nB =\n[[1, 6, -4, -9],\n [1, -2, -9, -5],\n [3, -2, 4, -7],\n [5, 1, 10, 1],\n [10, -1, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 2, -7, -7, -4],\n [5, -1, -6, 6, -6],\n [4, 1, -9, -1, -5],\n [2, -3, 0, -1, -5],\n [2, -7, 8, 10, 10]]\nB =\n[[-7, -3, 6, 8, 3],\n [-8, 2, 6, 8, -9],\n [4, 1, 1, -1, -7],\n [6, 3, 2, -3, 7],\n [-7, 9, -8, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, -1, -7, 4, 6],\n [-3, 4, -7, -9, -5, -1],\n [6, -1, 9, -4, -5, 5],\n [6, 1, 7, -10, -9, 7]]\nB =\n[[-10, -3, 5, 4],\n [8, -1, -6, 3],\n [-6, 9, -6, -9],\n [5, -6, 0, 2],\n [-2, -1, -9, -3],\n [-10, 7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1355", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 10, 6, -3, -9, 1],\n [-4, -10, 3, -7, 0, 8],\n [-4, 8, -4, -6, 10, -2],\n [4, 10, 0, -1, -10, -2],\n [-1, 1, -9, 9, -10, 10]]\nB =\n[[3, 9, -5, 7, 6],\n [-4, 6, 5, -10, -9],\n [6, -4, -9, -10, 10],\n [-10, -1, 3, -1, -10],\n [3, -4, 10, -10, 6],\n [-8, -6, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-10, 7, -1, 7, -7],\n [-7, -3, 0, -6, 9],\n [-5, -2, -10, 4, 8],\n [-3, 3, 3, 0, -7],\n [-10, -4, -4, -8, -6]]\nB =\n[[5, 3, -5, 1, 6],\n [6, 4, 8, 9, -5],\n [0, -5, 1, -6, -5],\n [8, -5, 5, 3, 4],\n [-6, 10, -10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 2, 0, 5],\n [3, 4, -4, 2, -6],\n [8, 10, 6, -3, -8],\n [4, 0, 4, 5, 4],\n [10, -5, 5, 9, -2],\n [0, -5, -2, 5, 0]]\nB =\n[[3, 10, 8, 7, -2, 1],\n [-2, -9, -2, -10, -9, -7],\n [9, -10, 3, -5, -3, -10],\n [-7, -9, -1, -6, -7, 4],\n [7, 4, 6, -3, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -1, -1, -4],\n [-3, -10, 6, 2],\n [-6, -10, -10, -8],\n [-9, 0, 10, -2]]\nB =\n[[10, -6, -8, 1, -8, -6],\n [5, 1, 1, -1, -1, -8],\n [-3, 4, 8, 6, -5, 4],\n [9, 3, -3, -1, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[2, 5, 5, 5],\n [-7, -3, -9, -5],\n [-6, 5, -9, -5],\n [0, -2, 5, 1]]\nB =\n[[0, -9, 7, 0, -9, -1],\n [10, -9, -10, -2, 9, 8],\n [-7, -6, 9, 10, 7, 7],\n [10, 0, 3, 8, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 10, -3, -2, -4, 6],\n [9, -2, -2, 10, 5, 7],\n [0, -6, 2, 0, 10, -3],\n [7, 0, -10, -3, 9, 8],\n [6, 6, 0, -4, 6, 10]]\nB =\n[[3, -9, 2, -2, -6],\n [1, 8, 8, -6, -7],\n [-4, -6, 0, 0, -4],\n [-5, -8, -9, 10, 9],\n [-3, 7, 2, -6, -6],\n [-7, 5, -4, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-893", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 9, -1, -6],\n [-7, 6, 3, 10],\n [6, -9, 6, 2],\n [4, -2, 8, 7],\n [-10, -10, 5, 0]]\nB =\n[[-6, 7, 10, 8, -5],\n [10, -6, 1, 4, 7],\n [-10, -7, 9, 10, -4],\n [-8, 6, 5, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-4, 4, 4, -8, -9, 9],\n [-7, 0, 8, 9, -1, 9],\n [-10, 4, 2, 7, 1, -5],\n [3, -6, -1, -5, 4, -1],\n [6, -6, 3, -7, -3, -5]]\nB =\n[[-5, -7, -7, 2, -2],\n [-9, 5, -7, 10, 9],\n [5, -3, -5, 7, 9],\n [-2, 9, -8, 7, 7],\n [-8, 10, -9, 3, -4],\n [-6, -2, -3, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -4, -7, 5, 10, -6],\n [8, 4, -10, -4, -9, 4],\n [10, 7, 0, 2, 2, 9],\n [-1, 8, 4, -1, 8, 10]]\nB =\n[[-1, -5, 1, -1],\n [-5, 1, 2, -10],\n [7, -6, 10, 9],\n [9, 7, 9, -8],\n [4, -2, -3, 10],\n [4, 5, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, -4, -2, 10, 3],\n [-5, -9, 10, 4, 6, -10],\n [4, 1, 2, -7, 8, 6],\n [-4, 7, 5, 10, -3, 6],\n [10, -6, -7, -5, 8, -5]]\nB =\n[[-6, 1, 5, 3, -2],\n [0, -4, -6, -8, -1],\n [4, 9, -5, -1, 3],\n [-1, -3, 4, -1, 10],\n [2, -10, -10, 5, 4],\n [0, 5, 8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 9, 2, -7, 9, 2],\n [-7, 7, 10, 0, 2, 1],\n [2, 1, 10, 0, -8, 2],\n [-1, 6, -8, 5, -10, 7]]\nB =\n[[-10, -9, 10, -9, 5],\n [-7, 3, 6, -7, 0],\n [-10, -8, -7, 4, -9],\n [-6, -3, 5, 0, 2],\n [-2, 5, -5, 8, -1],\n [-1, 4, -5, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 8, -7, 2, -4, 7],\n [5, 5, 2, -1, -7, 5],\n [-5, 9, -6, -5, 2, 9],\n [2, 10, 8, 10, 2, 0]]\nB =\n[[-6, 0, -4, 5, 1],\n [-10, 9, 10, 1, -2],\n [-10, 8, -10, 6, 1],\n [1, -8, 0, -2, 4],\n [5, 3, -8, 5, -9],\n [-8, 6, -2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, -3, -3],\n [9, -9, -5, -7],\n [-6, 0, 2, -5],\n [-6, 9, 2, -6]]\nB =\n[[6, 9, 2, -4, -4],\n [8, -1, -1, 7, 4],\n [2, 1, 1, -1, -9],\n [-2, 5, 7, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[5, -8, -4, -10, 8],\n [-8, 8, -6, 9, 9],\n [3, -2, 7, -7, 2],\n [3, 10, 9, 0, 2],\n [1, -10, -6, 10, -9]]\nB =\n[[-10, 5, 0, -4, -10],\n [10, -10, -9, -10, -6],\n [-6, -2, 9, -2, 6],\n [5, -1, -3, -3, -8],\n [9, 6, -7, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -8, -10, 8],\n [0, 10, 3, 2],\n [4, -2, 6, 10],\n [-9, -3, 8, -6]]\nB =\n[[10, 6, 6, -1, 9, -5],\n [4, -8, 7, 8, 7, -10],\n [-6, -8, -9, -9, -2, 3],\n [9, 10, -1, 5, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, 6, -9, -5],\n [6, -9, -3, 2, 9],\n [10, 10, 3, -4, -10],\n [-5, -10, 2, 1, 9]]\nB =\n[[0, 7, 6, -10, 8, -8],\n [3, 0, -7, 3, 10, -1],\n [-5, 3, -1, -6, 3, -3],\n [-3, 6, 8, 4, 6, 6],\n [8, 9, -8, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 0, 8, 7, 4, -5],\n [3, 3, -4, -10, 9, -5],\n [-5, -7, -5, -8, -7, 8],\n [-6, 1, -2, -5, -6, -3],\n [-2, 2, -7, 10, 0, -10]]\nB =\n[[1, 9, -5, 3, 8, -10],\n [-9, -8, -7, 6, 10, -6],\n [2, 1, 8, 7, -8, -2],\n [-1, -3, 3, 0, -8, 6],\n [7, 4, 1, 10, -8, -9],\n [-6, 10, 8, -10, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 10, 9, -10, 9],\n [-6, -5, -5, 7, 2],\n [7, -1, 1, -1, -2],\n [0, -2, -4, -1, -2],\n [-8, -9, -10, -8, -5]]\nB =\n[[10, 7, 7, -6, -10],\n [4, -4, 8, -4, -1],\n [4, 2, -9, 0, -3],\n [2, -6, 8, -5, -2],\n [9, -10, 9, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, 10, -10, -5],\n [8, -6, 9, 4, 2],\n [-2, 4, -7, -9, -5],\n [-3, -8, -9, -2, 8]]\nB =\n[[-10, 5, 9, 3, -9, -8],\n [-1, -7, -9, 5, -8, 1],\n [3, -6, -1, 5, 6, 1],\n [0, -9, 4, 9, -6, -3],\n [5, -7, -5, 5, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -1, -5, -1],\n [-4, -1, -4, -5],\n [-6, 10, -6, 5],\n [-2, 8, 9, 9]]\nB =\n[[6, 6, 8, -8, -1, 7],\n [-2, 8, -8, -2, 0, 2],\n [0, 10, 10, -2, -4, -4],\n [6, -9, 4, -1, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1052", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -10, -10, -9, -2],\n [-7, -6, 6, -1, 7],\n [-8, 9, -7, 4, -3],\n [-3, 6, 5, 9, 1]]\nB =\n[[2, -8, 5, 3, -3, 2],\n [4, -7, -2, 6, -9, 2],\n [3, 5, 2, -2, 9, -10],\n [-6, -3, 5, 6, 3, 4],\n [2, -6, -7, -8, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1237", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, -6, -1, -8],\n [-10, 0, 8, -6, 8],\n [10, -8, 2, -10, 2],\n [6, -3, 2, 10, -2],\n [-6, 9, 4, -7, 1]]\nB =\n[[-7, 7, 7, 7],\n [9, -6, -6, 10],\n [-8, -6, 6, 8],\n [-6, -6, 3, -4],\n [3, -2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[2, 10, -4, 5, -8, -7],\n [-1, 10, 3, -3, -2, -4],\n [-5, 10, -6, 9, 0, -8],\n [-10, -4, 3, 2, 9, -6],\n [-10, -3, 5, 3, 10, -7],\n [-3, 9, 4, 7, 2, -5]]\nB =\n[[8, -10, -6, 0, 3, -2],\n [3, 6, -2, 8, -5, 8],\n [-4, -5, -7, -5, 3, -7],\n [-2, 4, 9, -3, 7, -7],\n [5, 2, 3, 9, -8, 1],\n [0, 8, -3, 4, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -6, -6, 8, 9],\n [-1, 6, 0, -7, 1, 6],\n [-6, 9, -4, 4, -3, -7],\n [1, -8, 5, -1, 0, -8]]\nB =\n[[-3, -5, -10, -8, -1],\n [-4, -4, 9, 1, 2],\n [1, -9, 1, 2, 2],\n [0, 7, -9, 10, 9],\n [-10, 6, 2, -3, 2],\n [-3, 5, 1, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-9, -3, -4, -9],\n [-8, 3, -2, 10],\n [7, 1, -2, -2],\n [2, -6, 5, -1]]\nB =\n[[-4, 6, -5, 9, 0, -6],\n [-7, -8, -7, -3, 8, -9],\n [8, 0, 5, -9, -5, 4],\n [0, -3, 7, -3, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[8, -2, 1, -5, -3, -1],\n [8, 1, -1, -2, 7, 5],\n [2, 8, -9, 5, 10, 7],\n [1, 4, -10, -1, 10, 0]]\nB =\n[[-8, -9, 6, -7, -1],\n [-6, 8, 8, -7, 1],\n [-4, 3, 7, 9, 9],\n [3, -1, -2, 8, 0],\n [-9, 3, 0, 3, 9],\n [1, -6, -4, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 8, 6, 8, 9, 1],\n [8, 9, -4, 3, -6, 2],\n [-2, 8, 10, 5, -5, 1],\n [7, 4, -2, -6, 3, 9],\n [5, 10, 1, 2, 3, -10]]\nB =\n[[-5, -4, -8, 8, 1, -9],\n [10, -1, -3, 1, -1, -1],\n [5, 5, -10, 4, -7, -9],\n [-7, 7, -4, -10, 7, -4],\n [3, 1, 4, -9, 6, -1],\n [-3, -4, -5, 8, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-289", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-4, 8, 8, 10],\n [-6, 5, 6, 5],\n [-7, -6, -10, -5],\n [-9, -3, -8, -6],\n [-3, 5, 5, 0],\n [-10, -6, 7, -2]]\nB =\n[[-6, -10, -4, -6, 1],\n [1, -4, 6, -9, 10],\n [3, 8, 6, 9, 8],\n [-4, -6, 8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, 2, -10, 8],\n [1, -6, 7, -6, 1],\n [-6, 7, -7, 4, 0],\n [3, -1, 8, -1, -9],\n [3, 0, -9, -7, -9]]\nB =\n[[-9, -7, 0, -4, -10, -8],\n [-10, -9, -9, 2, 6, 8],\n [-4, 9, -8, 3, 1, 7],\n [1, -1, -3, -5, 8, -7],\n [-4, -2, 3, -10, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, 4, 8, 2],\n [9, -6, -6, 5],\n [1, 8, -6, -5],\n [-10, 5, 4, -6],\n [-5, -2, 0, -4]]\nB =\n[[4, -10, -7, -6, 3],\n [-10, -5, 4, 6, 8],\n [-5, 6, 9, -4, 1],\n [10, 6, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 9, -10, 6],\n [-9, 2, -2, 7],\n [1, 9, 4, 8],\n [6, 4, 1, -9],\n [8, 9, 6, 1],\n [-9, -1, 3, 1]]\nB =\n[[-7, 7, 6, -6, -3],\n [1, 0, -4, 6, 0],\n [-10, -9, 4, 6, 9],\n [-3, 10, -2, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1729", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -6, -3],\n [1, -7, 4, 2],\n [5, 4, -3, -1],\n [-2, 7, 10, -7],\n [2, -10, -2, -6]]\nB =\n[[8, 2, -7, -9, -4],\n [-6, 3, -6, -2, 5],\n [-6, -9, 5, -2, -10],\n [-9, 5, 7, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -5, -6, 6, 1],\n [-8, 2, -6, 10, -5],\n [-10, -10, -1, 9, 4],\n [3, -5, 7, -3, -10]]\nB =\n[[-5, 4, 3, 5],\n [7, 10, 0, -1],\n [9, -8, 7, 7],\n [3, -1, -8, 9],\n [3, -10, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 0, -8, 1, 4, 5],\n [0, 9, 10, 2, -3, 10],\n [9, 9, 7, -3, -9, 4],\n [7, 8, 2, -9, -4, 6],\n [-6, 2, -9, 1, 5, -8]]\nB =\n[[0, 10, 7, -3, 6],\n [4, -6, -9, -7, -10],\n [1, -7, 4, 2, 0],\n [-6, -10, 7, -8, 9],\n [2, 5, -9, 0, 10],\n [-2, 0, -5, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1619", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 9, -7, 0, -3],\n [-2, 3, 9, 6, -3],\n [3, -2, -8, 7, 0],\n [3, -8, -2, -5, 6],\n [-5, 2, 0, 4, -3]]\nB =\n[[-4, -8, 10, -5, 6],\n [3, -4, 3, 9, -6],\n [-3, 2, 3, 0, -9],\n [5, 7, -3, -7, 2],\n [8, 0, 9, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 6, 7, -2, -7],\n [-8, -5, 1, 1, 0],\n [3, 4, -2, -7, 9],\n [-1, -4, 6, 2, 10],\n [4, 3, -9, 5, -8]]\nB =\n[[-2, 1, -8, 9, -5, -8],\n [2, 3, -10, 9, -3, 1],\n [8, 8, -5, 1, 0, 2],\n [-9, 3, 3, -1, -8, 7],\n [-10, -3, 0, 1, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 1, 10, -9, 3, 9],\n [-8, 3, 9, 5, 5, -7],\n [-1, 10, -9, 9, 10, 6],\n [2, -5, -9, 7, -2, -7],\n [-7, -8, -10, 5, 0, 7]]\nB =\n[[-2, -6, 1, -10, -1],\n [-3, -10, -4, 8, -7],\n [-8, -4, -2, -6, -6],\n [4, -6, 7, 0, -2],\n [3, 2, 2, -2, -9],\n [-6, -5, 0, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1967", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 5, -9, 7],\n [9, -9, 2, -5],\n [6, -3, 4, -3],\n [1, -6, 2, -2]]\nB =\n[[5, -7, 1, 9, 9, 6],\n [9, -4, -1, 3, 0, 6],\n [-2, 3, -7, -8, 10, 0],\n [4, 6, 9, -9, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-4, 10, -2, 7, 1, 6],\n [8, 3, 4, -3, -8, -1],\n [-3, 6, -2, 6, -6, -2],\n [-2, 1, -2, 3, 6, -1]]\nB =\n[[7, 0, 2, 3],\n [-2, -7, -1, 1],\n [-5, 3, 8, 1],\n [-5, -4, 9, 6],\n [-4, 7, -3, 10],\n [9, -6, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -8, 0, -3, 2],\n [1, -6, 4, 10, 1],\n [-1, 8, -4, 1, -3],\n [-7, -1, -8, -5, -10],\n [-9, -2, 0, -7, 2],\n [8, -7, -3, 8, -1]]\nB =\n[[-2, 5, -7, -6, -4, 1],\n [9, 10, 6, 0, -7, -5],\n [0, -9, 3, -8, 6, -9],\n [-1, -10, -6, -10, 2, -6],\n [-3, -8, -3, 4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -7, 4, -10, -1],\n [2, -3, -8, -9, 9],\n [-9, -10, 7, -6, 1],\n [6, 9, -6, 0, -10],\n [-8, -10, 0, -8, -4],\n [-2, -9, -5, 10, 9]]\nB =\n[[-3, -9, 0, 8, -1],\n [0, 3, 7, 6, 0],\n [-4, 3, -1, -3, -10],\n [-1, 0, -3, 4, 4],\n [-2, -8, -5, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-7, 1, -7, -6],\n [-6, -3, -3, 8],\n [-9, 7, -3, -8],\n [7, 2, -9, -10]]\nB =\n[[6, -7, -2, -1, 0, 0],\n [10, 4, 0, -3, 1, -2],\n [2, -7, 4, 6, -9, 0],\n [-8, 10, -9, -3, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 3, -7, -1],\n [-5, -5, -5, -1],\n [-5, -1, 7, 1],\n [-10, 7, 3, -1],\n [-4, 7, 9, -7],\n [5, 1, -8, 3]]\nB =\n[[1, -1, 2, -10, -6, -1],\n [-9, 2, -9, 2, -4, 4],\n [0, 8, -8, -7, 3, 5],\n [-5, 6, 0, -5, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-2, 2, 1, 7],\n [3, -5, -2, -9],\n [6, 2, -10, 0],\n [3, 3, 1, -10],\n [2, -7, -6, 6]]\nB =\n[[7, 1, -6, 6],\n [-4, -7, 2, -4],\n [1, 2, 7, -4],\n [-9, 8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -10, 4, 4, 5, 8],\n [6, -6, -10, -10, -8, 8],\n [-1, 8, 3, -5, -1, -8],\n [7, 9, 0, 8, 2, 4],\n [0, -7, -6, 8, -8, 1],\n [-10, -6, 2, 4, 8, 0]]\nB =\n[[-1, 10, -5, 0],\n [-3, -3, -8, -1],\n [0, 8, 4, -5],\n [-9, -7, -1, 3],\n [0, 7, 8, -8],\n [8, -1, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1647", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -1, -4, 4, 8, -4],\n [8, -1, -2, 7, 0, 9],\n [1, -3, 8, 6, -10, 7],\n [-2, -2, 3, 1, -10, -5],\n [8, 8, 9, 4, -1, -3]]\nB =\n[[0, -5, -1, -2],\n [1, 7, 8, 10],\n [8, 8, -6, -1],\n [-1, -8, -8, -3],\n [2, -10, 9, -2],\n [-7, -7, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 5, -3, 2],\n [0, 6, -1, -4],\n [-3, 1, -10, 1],\n [-4, 1, 6, -2],\n [-8, 2, 6, -1],\n [-8, -8, 8, -8]]\nB =\n[[-4, 3, -9, -1, 1],\n [-3, 9, -5, 1, 10],\n [-5, -3, -2, 9, 10],\n [6, 6, -1, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, -1, 0, -1, 4],\n [0, -10, 1, -4, -7, -2],\n [-5, 5, 4, 9, 9, -7],\n [-4, -4, 0, 9, -7, 9]]\nB =\n[[1, -8, 1, 3, 4, -3],\n [6, 3, -6, -3, -4, 7],\n [-2, 0, -9, 10, -10, 9],\n [0, 7, -5, 3, -9, -9],\n [-9, 5, 8, 1, 10, 10],\n [2, 8, -6, 4, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -9, 8, 6],\n [7, -2, -7, 3],\n [-2, -6, -7, 0],\n [6, 2, 8, -7],\n [-4, 7, 0, 3]]\nB =\n[[6, -6, -9, -3],\n [-8, -9, 5, 5],\n [-7, 3, -7, -5],\n [0, -7, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -10, -3, -2],\n [10, 4, 6, 10],\n [4, 7, 6, -9],\n [-3, -2, 2, -3]]\nB =\n[[7, 9, -4, 4, 9],\n [-2, 7, -3, -7, -8],\n [7, -7, -10, -1, -3],\n [1, 3, 8, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 3, 10, 10, 5, -9],\n [4, -8, -1, -1, -10, 7],\n [10, 4, 4, 4, 10, 0],\n [4, -2, 3, 8, 4, -10],\n [-5, 0, -8, 3, -4, -9]]\nB =\n[[-6, 4, -2, 10],\n [-10, -9, 0, -4],\n [2, -1, -8, 6],\n [7, -8, -4, 1],\n [-4, -10, -10, 4],\n [7, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 4, 0, 1, -5, 10],\n [1, 4, -4, 10, -5, 6],\n [6, -1, -3, -1, 9, 7],\n [8, -1, 5, -4, -4, 7]]\nB =\n[[6, -9, -10, 6],\n [-7, -7, 1, 2],\n [10, 0, 8, 9],\n [-7, 8, -5, 7],\n [10, 7, -10, -5],\n [5, 6, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-7, -6, -5, 10, 5],\n [9, 10, 5, 0, -7],\n [-5, 8, 2, 0, -10],\n [-1, -9, -9, -2, 10]]\nB =\n[[5, 2, 0, 4],\n [7, -9, 0, 7],\n [4, 0, 1, 0],\n [3, 0, -9, -2],\n [-8, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -4, 0, -10, -9],\n [5, -10, -4, 2, 10],\n [7, 5, 4, 0, 2],\n [-4, -9, 10, -7, 0],\n [6, -8, -5, 0, -3]]\nB =\n[[-10, -9, -8, -4, -7, 0],\n [5, -7, 6, -9, 9, -6],\n [-7, 4, 8, 2, 5, -5],\n [1, 3, -2, 2, -3, -1],\n [-7, -1, -7, 8, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2075", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 5, -3, -1, -4, -8],\n [-5, 9, 7, -10, 7, 7],\n [-5, -2, 1, 8, -1, 2],\n [-6, -6, -9, -7, -8, 1]]\nB =\n[[5, -10, -1, -5, 10, 0],\n [10, 2, 3, 2, 10, -5],\n [8, 3, -8, 7, -3, 4],\n [10, -8, -8, 2, -7, 9],\n [-1, -10, -10, 4, 6, -10],\n [-1, -10, -8, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -3, -3, -5, -9, 4],\n [4, 10, 7, 5, -4, 1],\n [-5, -9, 3, -1, 1, -10],\n [7, 0, 6, 7, -1, 1]]\nB =\n[[7, -2, 0, 8, -1],\n [6, -9, 8, -7, -9],\n [10, 9, 9, 7, -7],\n [-4, 10, 1, 2, 10],\n [2, -9, 6, 0, 1],\n [6, -5, 10, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 10, -9, 3, 3],\n [-2, 9, 7, -2, -9],\n [-6, -8, -1, 1, 5],\n [0, 1, -7, 3, 9],\n [5, 1, 8, -7, -4]]\nB =\n[[-2, 7, -9, -4, 9],\n [5, 10, -9, -9, -8],\n [-1, -9, 4, 2, 2],\n [1, 5, -6, 1, -10],\n [-5, -1, -2, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1715", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 10, 0, -3],\n [7, -8, 2, 3],\n [0, -3, 4, 5],\n [5, 3, 1, 8],\n [-5, 1, 7, -1],\n [10, -4, 8, -6]]\nB =\n[[2, -2, 3, -7],\n [-7, -10, -2, 10],\n [7, 8, -7, 3],\n [6, -1, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1505", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -5, 4],\n [-3, 5, -1, -2],\n [9, 2, 3, -2],\n [-2, -3, -7, 1]]\nB =\n[[5, 6, 5, -1, 5, 0],\n [-8, 10, -4, 9, -9, 6],\n [1, -7, -7, -2, -9, -1],\n [-9, 10, 4, -5, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -10, 1, 6, 10, -10],\n [8, -5, -1, -2, -2, 6],\n [5, -9, -3, -7, 6, -7],\n [-8, 6, 6, 8, 2, 8]]\nB =\n[[3, -8, 1, 4, 6, -8],\n [0, 7, -5, -7, 3, 0],\n [6, 4, 5, 1, -3, -3],\n [1, 5, 5, 3, -2, -9],\n [-7, -2, 2, -1, 5, 2],\n [-4, 0, 6, 5, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 5, 5, 8, 5, -9],\n [-8, 4, -10, 6, -8, -9],\n [-4, -6, -2, -8, -4, -2],\n [3, 4, 0, 7, -10, -6],\n [1, -5, -6, -2, 3, -3],\n [10, -7, 2, -1, -6, 4]]\nB =\n[[-3, 0, 2, -7, -1],\n [6, -5, 7, 3, 3],\n [-1, -4, -3, -9, -1],\n [-7, -3, 3, 2, -7],\n [-6, -4, -5, -3, 2],\n [-9, 10, 9, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-496", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -10, 4],\n [10, -5, -10, 1],\n [-4, -1, -10, 10],\n [0, 8, -6, -7],\n [2, 8, 0, -4],\n [6, 0, -2, 2]]\nB =\n[[-7, -3, -2, 0, -9, 4],\n [3, -3, -5, -5, -9, -7],\n [2, 3, 2, 10, 6, -7],\n [-8, -2, -5, -8, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[7, -10, 9, -10],\n [-7, 6, 4, -5],\n [-2, 0, 2, -9],\n [-1, 1, 4, -1]]\nB =\n[[-1, 10, -1, 3],\n [9, 5, -9, -8],\n [6, -6, -10, 0],\n [5, -6, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -9, -3, -4, 0],\n [3, -6, -9, -2, -9],\n [5, 4, -2, 0, 9],\n [2, 5, 4, -2, 1]]\nB =\n[[-1, 6, 2, -5, -2, 6],\n [5, 9, 9, -1, -1, 1],\n [-8, 4, -10, -3, -10, 7],\n [4, 8, 2, -8, -9, 1],\n [-4, 8, -1, -8, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[0, 7, -10, -8, 3, -8],\n [8, 7, 3, -7, 0, 7],\n [6, -7, 2, 3, 2, 5],\n [2, 3, -5, -10, 2, -9],\n [8, 8, 8, -2, 10, -2]]\nB =\n[[-4, 3, -9, -4],\n [-10, -5, -6, 9],\n [-3, 1, -10, 5],\n [-8, 4, 2, 1],\n [10, -3, -6, 7],\n [3, -7, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, -7, -5],\n [2, -3, -5, 4],\n [-4, -3, 3, -4],\n [6, -3, -3, -4],\n [-3, -1, 0, -6]]\nB =\n[[8, 4, 4, 7],\n [-6, -8, 3, 6],\n [10, 10, 2, -7],\n [7, 1, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -6, -4, 5, 7],\n [-7, -6, 4, 5, -9],\n [6, 9, 2, 9, 6],\n [-5, 8, -1, 2, -3]]\nB =\n[[-2, 3, 8, -6, 6],\n [-4, 6, -4, -8, -4],\n [-2, 9, -2, -1, -10],\n [2, 0, 3, 6, 7],\n [9, 7, 1, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "989", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 8, 2, 4, 4, -3],\n [2, -7, 0, -9, 2, -4],\n [-3, 6, 8, -6, 7, -9],\n [7, 9, 3, -2, -7, -10]]\nB =\n[[6, -5, -6, 6, -10],\n [0, -7, 7, -9, 8],\n [-1, -10, 10, 0, 7],\n [9, -8, 1, 9, -2],\n [7, 7, 10, 2, -8],\n [-2, -5, -6, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1776", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -1, -1, 0],\n [6, 4, 9, 2],\n [0, -2, 5, -7],\n [-6, -9, -10, -7],\n [-3, -5, 4, -8]]\nB =\n[[0, 6, -10, -10, 9],\n [-7, -8, 9, 4, 8],\n [6, 7, -9, 2, -10],\n [8, 3, -1, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 10, 4, -10, -9],\n [-9, -8, -5, -4, -4],\n [6, 7, -4, 1, 1],\n [-9, 8, -9, -1, -5],\n [-7, -9, -6, 0, -1],\n [2, -7, 8, -6, -2]]\nB =\n[[-7, -10, 6, -4],\n [3, 1, 3, 10],\n [1, -10, -7, -7],\n [2, 6, -4, -3],\n [-7, 8, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -4, -6, -10],\n [4, -4, -4, 10],\n [1, -4, -3, -8],\n [7, -4, -5, -6]]\nB =\n[[-2, 0, 1, 4, 7, 4],\n [-1, -5, 4, 10, -5, -4],\n [4, 10, 5, 7, 2, 5],\n [5, -2, -10, -8, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 8, -9, 1, -7],\n [4, 0, -8, 9, 7],\n [-7, 9, 2, -9, 7],\n [-1, -10, 4, -3, -2],\n [-3, -7, -10, 3, 8]]\nB =\n[[-8, -9, -4, -8, -3],\n [1, -6, -5, -6, 1],\n [5, 6, -2, -2, -7],\n [5, -10, -9, 3, -7],\n [9, -10, -9, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[2, 3, -5, -6, -2, 0],\n [-4, 6, -7, 6, -1, 3],\n [4, -6, -2, 8, 3, 1],\n [-10, -6, -1, -7, 9, 4],\n [9, 9, -6, 8, 8, -6],\n [8, -2, 1, 1, -2, -5]]\nB =\n[[6, 10, -6, 3, 3, 10],\n [0, 4, 4, 9, 0, -9],\n [0, -5, 8, -9, 5, 3],\n [-6, 6, 10, 2, 7, 4],\n [-7, -3, -5, 8, 0, 0],\n [-10, -3, -4, 1, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -8, -7, -8, -1, 6],\n [-10, -8, 1, 10, 8, -1],\n [-3, 9, -1, -3, 2, 9],\n [3, 5, -10, -8, -2, -3]]\nB =\n[[1, 0, 4, 7, -6, 3],\n [0, 6, 4, 2, -4, 2],\n [-10, 6, 0, -3, 8, -5],\n [9, -6, -9, 3, -10, 9],\n [-3, 0, 5, -1, 7, 3],\n [-3, 7, 3, 5, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, -9, -1, 10, -10],\n [1, 0, -5, -3, 5, -10],\n [9, -1, 8, -1, 2, -8],\n [-10, 4, 3, -4, 4, -8],\n [2, 4, -6, -3, 4, -8],\n [-7, -2, -3, -6, -6, 10]]\nB =\n[[-8, 10, -2, 2],\n [9, -6, 5, -4],\n [1, 9, 1, 2],\n [4, 10, -10, 8],\n [1, -5, 0, -6],\n [6, -1, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[0, 4, 8, 9, 6, -6],\n [2, -4, -2, 9, 5, 8],\n [-3, 1, -3, 6, -10, -10],\n [-8, 3, 10, 0, 9, 7],\n [-10, 9, 10, -5, 0, -2]]\nB =\n[[-3, -3, -7, 7, 0, -10],\n [4, -9, -6, -2, 3, 4],\n [6, 1, -10, -6, 2, 8],\n [4, 4, -8, 8, 0, 8],\n [-9, 6, 8, -5, 10, 1],\n [1, -8, -5, -1, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 10, -10, 8, -1, -4],\n [-3, -1, -5, -6, 8, 2],\n [-2, 8, -2, 3, -8, -8],\n [0, 8, -2, -6, 4, -4]]\nB =\n[[-5, -9, 9, -1, 0, -3],\n [-3, -6, -6, -9, -5, -10],\n [-6, -5, 9, 3, 1, -2],\n [1, -10, -2, 10, 9, 0],\n [-9, -3, -5, 7, 4, -7],\n [8, -7, 5, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 6, 6, -8, -10],\n [-10, -4, 1, -6, -8, -2],\n [0, 5, -5, 8, 7, -9],\n [6, 4, 8, 3, -8, -9]]\nB =\n[[3, 1, -10, 0],\n [2, -1, -10, 0],\n [-1, -8, -5, 9],\n [-2, 3, -4, 9],\n [4, -6, 3, 1],\n [2, 1, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1200", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -8, 5],\n [-4, -7, -3, 9],\n [10, -9, -5, -10],\n [5, -8, -7, -5],\n [-10, 7, -6, -6],\n [3, 1, -2, 3]]\nB =\n[[-3, -8, -1, -9],\n [-9, 5, -7, 1],\n [-7, 9, 7, -10],\n [3, 10, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[0, 0, 7, -5],\n [8, 6, -5, -1],\n [-3, -4, -8, -2],\n [-8, -1, -3, -7],\n [6, 3, 2, -9],\n [-3, 6, -6, 1]]\nB =\n[[2, -6, -8, 10, -2],\n [9, -4, 6, 3, 10],\n [-5, 0, 8, 7, 3],\n [-2, 5, -8, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, 6, 4, -6],\n [-4, 2, -6, 1, -4],\n [6, -6, -6, -4, 2],\n [-5, 4, 3, -6, -4],\n [2, 7, 9, 2, -5],\n [-4, 1, -9, 10, 4]]\nB =\n[[9, -7, -9, -6, -2],\n [-1, 7, -6, 10, 4],\n [-8, 1, -8, 10, -3],\n [0, -4, -5, 10, 8],\n [0, 0, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1798", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, 1, -2, -3],\n [7, -8, 5, -7, -5],\n [-6, -4, -2, 4, -3],\n [-5, 9, 10, 10, -6],\n [10, 7, -2, 8, 10]]\nB =\n[[5, 6, -9, -2, -1],\n [7, -5, -7, 6, 4],\n [10, 8, 6, 1, 0],\n [1, 4, -4, -10, -7],\n [0, -9, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[8, 10, 7, -4, 9],\n [-5, -6, -9, 4, -9],\n [-1, -3, 4, -1, -1],\n [8, 9, -7, -8, -7],\n [-4, -6, 6, -7, 2],\n [-9, 10, -9, 10, 3]]\nB =\n[[-8, -1, -9, 7, 2],\n [-4, -6, -9, -8, -9],\n [6, -7, -6, 4, -6],\n [-9, 7, -1, 6, 0],\n [6, -5, -8, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 4, 9, -4, -2, 9],\n [2, -5, -2, -7, 4, 9],\n [-10, 5, 5, -5, -1, -8],\n [8, -7, 10, 1, 0, -5]]\nB =\n[[8, 6, -8, 10],\n [6, 3, 3, -8],\n [4, -3, 9, -1],\n [7, -3, -7, -6],\n [-7, -5, 4, 0],\n [4, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -4, -8, 9, -7],\n [-2, 0, -8, -4, 1],\n [3, -1, 0, 4, -5],\n [2, 5, -8, 9, 4],\n [7, 7, -3, -10, 5]]\nB =\n[[2, 4, -9, -1, -8, 0],\n [4, -1, -1, -5, 9, 4],\n [5, 9, 9, -9, 5, 4],\n [-4, 8, 2, -9, 4, 3],\n [-7, -7, 5, -4, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[7, 4, 7, 4, 2],\n [2, -8, 1, 10, -4],\n [-6, -10, 0, 5, -9],\n [8, 9, -4, -7, -7],\n [-4, -10, -5, -3, -5]]\nB =\n[[10, 5, -6, 6, 2],\n [3, -9, -9, 1, -8],\n [-9, -4, 0, 7, -5],\n [7, -8, 1, -2, -10],\n [-6, 5, 4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 4, 3, -10, 2, -3],\n [3, 2, -2, -7, 9, 10],\n [9, -3, -1, -5, 7, -6],\n [-1, 1, -9, 6, 0, 4],\n [-6, 7, -5, 10, 5, 1],\n [-5, -6, -1, -2, -10, 5]]\nB =\n[[9, 2, 5, 4, -4, -8],\n [7, 0, -7, -9, -4, -3],\n [1, -7, 1, 4, -10, 6],\n [-8, -3, 5, 5, -8, -7],\n [2, 5, -1, -6, -7, 10],\n [6, 5, 2, 3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -6, -2, -2, 1],\n [-8, 8, 6, 2, 3],\n [2, -6, 3, 6, 3],\n [-4, 4, 0, 9, 5],\n [-4, -5, 3, 7, 1],\n [1, 7, 7, -5, -7]]\nB =\n[[7, -1, -2, -8, -9],\n [-3, -10, 10, -3, 2],\n [-7, 3, 7, 1, -4],\n [2, -4, -5, 10, 1],\n [-1, -6, -7, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, 2, 8, -3, -4],\n [5, 6, 9, 3, 4, 6],\n [-2, 1, -1, -1, -10, 0],\n [-10, -4, 5, -7, -7, -10],\n [-9, -7, -10, -8, -3, 10]]\nB =\n[[-2, 3, 5, 8, -8, 7],\n [2, -6, -6, -1, -9, -5],\n [0, 5, -7, -4, 8, 5],\n [-10, -5, 5, -10, -4, -3],\n [-5, 9, -9, 10, -3, 10],\n [-6, 1, -10, -6, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[10, -8, -1, -9],\n [-8, 8, -4, 1],\n [2, 8, -8, 9],\n [-5, -4, -4, -8]]\nB =\n[[-5, 7, -2, -2, -2],\n [9, -10, 9, -6, 7],\n [-4, -1, 8, -2, 8],\n [-5, 9, 9, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 5, 9, 3],\n [0, -10, -9, -2],\n [2, -2, 0, -5],\n [1, -9, 4, 8],\n [9, 7, -9, -1],\n [-10, -5, -5, 4]]\nB =\n[[4, 7, 9, 6],\n [7, -2, -4, -9],\n [-8, -8, 3, -5],\n [8, -3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1242", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[-1, 4, -2, -9],\n [-7, -4, 3, 1],\n [2, -4, -10, 10],\n [10, 0, 0, -4],\n [5, 9, -7, -8],\n [-5, 0, -3, -6]]\nB =\n[[-10, 2, -4, 3],\n [-6, -9, -3, -2],\n [6, 8, 2, -8],\n [-4, -7, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[0, -7, -3, -1, -6, 5],\n [0, -2, -1, -1, -3, 4],\n [3, -5, 0, 0, -7, -7],\n [-9, -3, 0, -4, -8, -3],\n [7, -10, 7, -8, -2, -1]]\nB =\n[[-3, -4, -3, -8],\n [5, 5, 3, 3],\n [10, 7, -10, -5],\n [2, 5, 2, 6],\n [-5, 10, 10, 0],\n [-4, -10, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 4, 2, 0, 2],\n [-7, 2, 7, -9, -8],\n [-10, 3, -2, -2, 5],\n [-5, -4, 7, -8, 1]]\nB =\n[[0, 4, -8, 0],\n [5, 0, 5, 0],\n [7, 10, 5, -10],\n [4, -10, -7, -10],\n [7, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 7, 9, 10, 9],\n [-1, 3, 1, 9, 4],\n [6, 9, 4, -7, 2],\n [0, -3, -4, -5, 6],\n [-10, 1, 8, -5, -3]]\nB =\n[[5, -6, 1, 8],\n [-1, 0, -7, 5],\n [1, 3, 5, 3],\n [-10, -1, 6, -10],\n [1, 5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 0, 5, 9, -9],\n [6, 1, 2, 0, 1],\n [3, 9, -10, -6, 10],\n [8, 9, 8, -7, -9],\n [5, 6, -3, 4, 10],\n [-9, -4, 9, 9, -7]]\nB =\n[[2, 3, -9, 1, -3],\n [2, -9, 6, 4, -2],\n [2, -10, 9, 1, 10],\n [-8, -4, 9, -5, -4],\n [10, 3, 8, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[1, -8, 1, 7],\n [-5, -2, -8, 9],\n [-4, 3, 8, -3],\n [-2, 6, 8, -10]]\nB =\n[[-9, 3, 2, -10],\n [-2, 10, -9, 10],\n [3, 0, -7, 3],\n [2, 3, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[9, -1, 2, -5, -10, 0],\n [-6, -4, -8, -10, 10, 0],\n [-9, 4, 0, 9, -10, 0],\n [-10, -4, -6, -5, 9, 7],\n [0, -5, 9, 8, 3, 4],\n [-2, -8, -9, -4, -7, 7]]\nB =\n[[4, -7, -5, 5, 2, 10],\n [9, 5, -4, 4, 0, 3],\n [-3, 8, -7, 1, -10, -4],\n [7, 9, 5, 0, 8, -4],\n [8, 9, 8, 2, 1, -5],\n [0, 5, -6, -6, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-10, 3, 10, 1, 9, 4],\n [4, -7, 8, -10, -1, -1],\n [-8, -4, -7, 6, 2, -8],\n [-5, 3, -7, -10, -2, 7],\n [4, -1, 4, -7, -3, -5],\n [-6, 7, 7, 0, -3, -8]]\nB =\n[[-7, -2, 1, -7, -7, -4],\n [-5, -1, 2, -9, -9, 1],\n [0, -9, -1, -1, 3, 7],\n [-4, -5, -6, -7, -5, 6],\n [4, -9, 10, -3, 10, -2],\n [-8, 9, 6, -2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -1, 0, 2, -1, 9],\n [3, 0, 3, 9, -4, -4],\n [-8, 1, 5, 1, -4, 4],\n [8, -7, -2, 6, -2, 2],\n [-2, -3, -8, 6, -1, 3],\n [-7, -4, 6, -1, 7, 10]]\nB =\n[[-4, 8, -2, 1, 3, -1],\n [9, -9, 5, 3, 10, 0],\n [10, -2, 9, 3, -6, -9],\n [1, -8, -9, -7, -3, 5],\n [-9, 2, -4, 0, -8, -3],\n [5, 6, -7, -7, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-568", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 3, 1, -1, 1],\n [1, 4, 9, 5, -4],\n [-3, -3, -6, 1, 4],\n [7, 0, 6, -4, 9],\n [7, 4, -2, -4, 6],\n [10, 0, 0, -4, -2]]\nB =\n[[-7, 3, 1, -2],\n [-4, 9, 1, 8],\n [8, 5, -9, 6],\n [-9, -2, 2, -3],\n [-8, 7, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -2, -4, -3, -2, -9],\n [-10, 3, 7, 10, -8, 2],\n [8, -2, 3, 7, 8, -10],\n [-3, -5, 4, -4, 4, 8],\n [10, 5, 2, 2, 3, 10]]\nB =\n[[8, -4, 1, 10],\n [9, -9, 8, -3],\n [10, -7, 5, 5],\n [-7, 5, 3, -2],\n [9, -8, 3, -1],\n [7, -5, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 4, 8, 9, 3, 4],\n [-3, 6, 5, 8, 9, -10],\n [-3, 9, 9, 3, 7, 8],\n [1, -10, -10, -10, 3, 7],\n [-5, 5, 6, 4, 0, 5]]\nB =\n[[-2, -3, 1, -7, 3],\n [0, 2, 10, 7, 3],\n [7, 4, -9, -3, -8],\n [-4, -8, -10, 4, -5],\n [-10, 5, -10, -10, 3],\n [8, -5, 6, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1700", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, -2, 4, 9, 9, 9],\n [4, -8, 1, -10, -9, -5],\n [-10, -5, 9, 1, -4, 8],\n [-10, -4, 9, -7, 4, 0]]\nB =\n[[-7, 10, -2, 2],\n [0, -10, 3, -3],\n [2, 5, -10, -3],\n [-5, 4, 8, -6],\n [-2, 4, -10, 8],\n [-4, -8, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[5, 5, 6, 9],\n [7, 9, 0, 0],\n [-2, -7, 0, -1],\n [-10, 4, 5, 1],\n [6, 0, 2, -1]]\nB =\n[[-2, 10, 1, -4, -3, -2],\n [10, 4, -7, -3, 8, -5],\n [-6, -5, 1, -4, 7, 8],\n [-10, 10, -9, -6, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 9, -10, 7, -10, 6],\n [6, 1, 2, 0, 10, -2],\n [9, -1, 9, 0, -5, 10],\n [0, -2, 0, -7, -4, 0],\n [-10, -6, 5, 0, 5, -10]]\nB =\n[[-5, -2, -10, -7],\n [3, -1, -10, -6],\n [-10, 5, -9, 3],\n [2, -3, 6, 10],\n [-3, 8, -6, 10],\n [-9, -5, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1824", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -4, 0, 2, -2],\n [-5, -6, 8, 6, -6],\n [1, 7, 1, -2, -9],\n [-8, 4, -9, -9, 7]]\nB =\n[[6, 0, -6, -1],\n [-4, -10, -4, -8],\n [2, 9, 5, 3],\n [4, 6, -3, 6],\n [-4, 6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 8, 10, -8, 9, 8],\n [7, -1, -9, 4, 10, -3],\n [-9, 6, 7, 4, 5, -3],\n [-5, -1, 6, 1, 1, -3]]\nB =\n[[6, 2, 6, -8],\n [-6, -10, 7, -9],\n [-1, 7, 5, -2],\n [-7, 1, -10, -3],\n [-8, -10, 5, 8],\n [1, -5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[2, -4, -4, -5, -1],\n [2, 6, -9, -4, 2],\n [-6, 4, -5, 2, 2],\n [10, -2, -10, 8, -4]]\nB =\n[[-7, 8, 7, 6],\n [4, 5, -2, 1],\n [0, 6, -9, -5],\n [10, -9, 2, -4],\n [-7, -5, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, 9, -10, 1],\n [-6, 2, -9, -9, -8],\n [-1, 5, 4, -4, 5],\n [-3, -3, 6, -6, 10],\n [7, -7, 0, -7, 0]]\nB =\n[[-10, 1, 3, -2, 9, 8],\n [6, 4, 6, -4, 7, 2],\n [8, 0, -10, -3, 7, 1],\n [3, -1, -9, 5, -1, -7],\n [-8, 5, 9, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -7, -8, -5, 8, 1],\n [5, 1, 7, 3, -4, -7],\n [10, 3, 2, 4, -2, -7],\n [-9, 0, 8, 3, -3, -10],\n [9, -9, 3, -5, 6, 6]]\nB =\n[[-2, 7, 2, 6],\n [1, -10, 0, -4],\n [-4, 10, 5, 5],\n [9, 7, 9, -10],\n [2, -3, -5, 5],\n [-1, 1, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1441", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 3, -3, -2, 8, 8],\n [-9, 1, 8, -10, 8, -3],\n [3, -6, 6, 5, -10, -4],\n [4, -4, 2, -7, -5, 7],\n [7, -7, -2, -10, 6, -9],\n [9, 1, 0, 10, 5, 10]]\nB =\n[[1, 2, -5, 4],\n [-6, 6, -2, 10],\n [4, -9, -10, -5],\n [-5, 7, -10, -8],\n [10, 8, -8, -4],\n [-5, -4, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[-6, -8, 5, -8, 3, 4],\n [-3, 9, -4, 10, -3, 3],\n [9, 0, 7, -4, 6, -4],\n [5, -6, -7, -8, 8, 1],\n [7, -10, 2, -3, 7, -8],\n [-4, -2, 6, -4, -10, 5]]\nB =\n[[2, 8, 10, -5],\n [-6, -10, 9, 5],\n [-7, -5, -10, 2],\n [8, 0, -4, 5],\n [9, 4, -4, 10],\n [-3, 2, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -1, 2, -8, -9],\n [0, -9, 4, 4, 5],\n [-4, -2, -7, -5, -10],\n [-6, -2, 1, 0, -7]]\nB =\n[[-6, 6, 5, -4],\n [9, 5, 7, -1],\n [7, -4, 3, -10],\n [8, -4, -1, -6],\n [-9, 8, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1053", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -3, 5, 3, 2],\n [-3, 6, 2, 6, -2],\n [1, -1, -7, -8, -9],\n [7, -2, 4, 3, -1],\n [-4, 8, 2, -3, 8],\n [-4, 3, -3, 10, 3]]\nB =\n[[1, 1, -4, 9, 1, 2],\n [10, 2, 9, 1, -8, -2],\n [-9, -10, -2, -1, 10, 5],\n [1, 4, 2, 9, -1, 10],\n [8, -3, -10, -9, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2065", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 3, 1, -1, 3],\n [10, -7, -8, -7, 9],\n [-2, -2, -1, 8, -6],\n [-8, -7, 8, 9, 7],\n [-1, 6, -3, -2, -1],\n [-5, -5, 5, 6, 1]]\nB =\n[[-3, -6, -6, 3, 10, 0],\n [-5, -1, -9, 0, -7, -6],\n [-6, -1, -6, -2, 3, -8],\n [-6, -7, 1, -9, -6, -7],\n [-7, -9, -10, 3, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1899", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -4, -4, -6],\n [5, 0, -5, 7],\n [-10, 4, -5, 9],\n [3, 3, -8, 1],\n [8, 9, -9, 0],\n [-5, 6, 9, -4]]\nB =\n[[10, 4, 5, 2, 7, -6],\n [-6, 3, -10, -1, 3, -2],\n [-8, -6, -8, 6, 5, 3],\n [10, 7, 8, 5, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, -4, -3, 2],\n [0, -1, -3, 4, 6],\n [-9, -4, -5, 4, 6],\n [9, 4, 2, -6, -6],\n [9, -7, 4, 4, -1],\n [10, -1, -6, -6, 0]]\nB =\n[[6, -8, -5, -1, 10],\n [-5, -6, -6, -2, -9],\n [6, 3, -5, -2, -8],\n [-5, 0, 2, -7, -9],\n [2, -10, -6, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "437", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, 8, -1, -4, 4],\n [10, -6, -8, -4, 6, 7],\n [5, 0, -10, 7, 8, 10],\n [-3, -4, 5, -2, -10, 10]]\nB =\n[[0, 0, -1, 4, 9, 2],\n [4, -6, 9, 2, -2, -8],\n [-8, -8, -7, 9, 0, 3],\n [3, -4, 7, 9, 6, 7],\n [-9, -8, -5, -7, 9, 2],\n [0, 5, 9, -2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 6, -1, -1],\n [6, -4, -10, -9],\n [-4, -2, -6, -9],\n [4, -6, -9, -9],\n [1, -8, 1, -4]]\nB =\n[[1, 10, -8, -10, -7],\n [-5, -2, 2, 6, -1],\n [-6, -6, 2, 6, 3],\n [6, -3, 4, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -6, -5, -6, -10],\n [3, 2, 9, 6, 2],\n [6, -10, 3, 8, -3],\n [7, 2, 7, 6, 3]]\nB =\n[[9, 7, 2, 6, 4, -3],\n [-2, 0, -8, -8, 9, 9],\n [3, 10, 8, -3, -9, 2],\n [-10, 7, 10, 1, 9, -7],\n [-7, 9, 8, -1, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2049", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-9, -7, 3, -6, -2],\n [1, 7, 2, 5, -3],\n [4, 0, 1, -1, -8],\n [10, 2, -3, -3, -1]]\nB =\n[[-7, 1, 4, -8, 1],\n [-4, 9, 6, 8, 4],\n [-4, -7, -6, -9, -7],\n [-1, 9, 1, -2, 7],\n [1, -6, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-6, 6, 10, 5, -2],\n [7, -7, 8, -6, -4],\n [6, -7, 5, -6, 7],\n [-8, 1, 8, 4, 0]]\nB =\n[[-3, -2, -1, -5],\n [2, -4, 1, 4],\n [-9, -5, -2, 6],\n [3, 6, -8, -6],\n [-3, 2, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -2, 0, 0],\n [-1, -5, 8, -10],\n [-2, 6, -2, 6],\n [-10, -6, 7, 8]]\nB =\n[[6, 2, -8, -8],\n [9, -4, 4, -5],\n [-1, -5, -3, 8],\n [-10, 4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 10, -9, -8, 4, -8],\n [1, -2, 9, -10, 10, -7],\n [8, 9, 7, -8, 1, 2],\n [-4, -1, 9, -9, -3, -4]]\nB =\n[[8, 9, -10, -5, 5, 10],\n [-7, 10, -7, -8, -3, 10],\n [8, 9, 10, -10, -5, 9],\n [4, -6, 4, 8, -7, 1],\n [-4, -8, 10, -8, -8, 8],\n [6, 9, -8, 2, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[7, -1, 10, -9],\n [-7, -8, -3, 8],\n [4, 6, 7, -5],\n [2, -2, -9, 6]]\nB =\n[[5, 9, 8, -8, 1, -6],\n [5, -6, 2, 6, 6, -1],\n [6, -6, -8, -3, 7, -7],\n [-6, -3, -9, -9, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 7, -2, -6, 1],\n [5, 10, 9, -3, -6],\n [6, 4, 8, 7, -6],\n [0, 7, -10, -10, -3],\n [4, 1, 6, 7, -2],\n [-10, -7, 8, -8, 8]]\nB =\n[[-5, 4, 1, 4, -2],\n [-6, 8, -3, -2, 8],\n [-7, -8, 3, -8, 10],\n [-8, -4, -8, -5, -6],\n [-4, 5, 3, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, 0, 6],\n [0, 6, -4, -2],\n [-4, 2, -4, 0],\n [-4, 9, 4, 10],\n [-1, -9, 5, 0]]\nB =\n[[-4, -2, -4, -2],\n [-8, 6, -2, 7],\n [6, 1, -1, 8],\n [10, -4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -10, 1, 4, 2, 3],\n [1, -1, -2, -1, -3, 3],\n [-8, -10, 10, -2, -2, -5],\n [4, 0, 9, -5, -2, 1],\n [7, -4, -6, -3, 8, -10]]\nB =\n[[8, 0, 2, 6],\n [-3, 6, 0, 3],\n [2, -8, 3, -5],\n [-5, -7, 9, -1],\n [3, 5, 7, 1],\n [4, -8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 1, 9, 0],\n [-4, -1, -6, 7],\n [-4, 3, -1, -8],\n [4, -1, 4, -10],\n [-5, 7, 6, 5],\n [-2, 5, 10, -4]]\nB =\n[[7, 7, -10, -6, 7, -4],\n [6, -7, 6, -10, -5, 10],\n [-6, -5, 8, 7, 1, 6],\n [-4, 6, 2, 8, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2335", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[10, 7, -5, 6],\n [-10, -1, 2, -7],\n [-4, -10, 9, 8],\n [2, -2, -8, 9],\n [9, 10, -3, 10],\n [2, 8, 1, 3]]\nB =\n[[9, -4, 5, 10, -3],\n [7, 7, -6, 4, -10],\n [4, -6, 5, -8, -8],\n [0, 4, -9, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[2, 4, 8, 7, 8],\n [-3, -3, 5, -10, -10],\n [10, -2, -5, 1, -7],\n [-6, -7, 0, 9, -6],\n [8, -7, -8, 8, 3],\n [-3, -3, 2, -10, -7]]\nB =\n[[6, 9, -1, -7, 2],\n [5, 6, -8, -6, 2],\n [8, 5, 3, -10, 10],\n [4, -1, -3, 10, -8],\n [10, -9, -2, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 9, -8, -7, 0],\n [7, 9, -10, 6, -8],\n [0, 0, 9, -2, 3],\n [-8, -3, -5, -9, 3]]\nB =\n[[10, -1, 8, -7, 3],\n [-2, 5, 9, 9, -7],\n [3, -9, 8, -4, -3],\n [0, 0, -3, 2, 1],\n [-6, -10, -3, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, 8, -5, 5],\n [-3, 4, 4, -1, 9],\n [-2, 5, 0, 9, -3],\n [9, 8, 5, 3, -1],\n [0, -8, -2, 8, -9]]\nB =\n[[-5, -1, -9, 4, -5],\n [8, -6, 4, 6, 0],\n [-2, -5, -1, 0, 8],\n [-6, 5, -8, -4, 1],\n [-5, -6, 4, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1681", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, -7, 7, 9],\n [-1, 0, -5, -1, -2],\n [2, 2, -3, 2, -3],\n [-1, -4, 9, 3, -7],\n [-6, 0, 4, 5, -9]]\nB =\n[[-10, 6, 8, -4, 5],\n [2, 7, -10, -1, 6],\n [-8, -2, -7, 1, 5],\n [6, 1, 10, 7, -7],\n [-4, 2, 3, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -7, 4, -8, -6, 2],\n [-1, -7, 10, 7, 6, 10],\n [1, -4, 7, -3, 2, 1],\n [-8, 1, 9, 7, -6, -5]]\nB =\n[[-9, 4, 9, -10, 0, 3],\n [-8, 8, 1, 3, 2, 10],\n [-2, 5, -8, 1, 6, -10],\n [1, -1, -9, 6, 10, 0],\n [3, 6, 8, 2, 2, -8],\n [-3, 6, -2, -3, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-595", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[-10, -7, 5, -9],\n [8, -8, -8, -5],\n [-8, -6, -8, -3],\n [-3, -7, -4, 3],\n [-5, -4, 6, -8],\n [-7, -8, 8, -6]]\nB =\n[[7, 8, 6, -4, -1, 1],\n [6, 2, 7, 0, -6, -9],\n [10, -1, 3, 4, 9, 3],\n [8, -6, 10, 6, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, -9, 4, 8, 2],\n [-4, -8, 10, 9, 4, -3],\n [-1, 5, -5, -10, 8, 6],\n [7, 7, -6, -1, -4, 10],\n [-9, 10, 7, 0, 0, -6],\n [-8, 4, 5, 0, -7, -8]]\nB =\n[[4, 5, -1, 10],\n [-6, 8, 0, -6],\n [9, 3, 0, 0],\n [-1, 2, 4, -6],\n [0, 9, -3, -5],\n [3, -8, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -5, 6, 9],\n [-7, 5, -1, 3],\n [-6, 2, 10, -1],\n [1, -9, 10, 1]]\nB =\n[[-2, -8, 6, -2],\n [3, 7, -7, -1],\n [-7, 4, 2, 0],\n [6, -9, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "831", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, 5, 9, -9, 10],\n [-1, -1, 1, 1, 0, -3],\n [-5, 9, 9, -2, 4, 1],\n [7, -10, -2, 3, -3, -9]]\nB =\n[[-6, 6, 8, 8, -9],\n [3, -4, 3, 3, 1],\n [3, 4, 3, -5, -4],\n [-5, -7, -9, -7, 5],\n [-9, -5, 5, -2, -6],\n [5, 9, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -5, 7, -9, -2, -6],\n [-4, -7, 5, -8, -2, -4],\n [5, -7, -4, -1, 7, 9],\n [-1, -4, -7, -1, 7, -8],\n [6, -4, -6, 10, 10, -10],\n [-5, 7, 2, -10, -1, -3]]\nB =\n[[-8, 4, -4, -3],\n [5, 9, 4, -4],\n [4, -3, 8, -8],\n [-2, 6, 5, -3],\n [5, -7, -3, 8],\n [2, -7, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-505", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[4, 0, -1, -8],\n [-10, -7, -8, -6],\n [-7, -5, 0, -1],\n [-8, 8, 10, -5]]\nB =\n[[-7, -5, -8, 4],\n [-9, 5, 4, -2],\n [9, 9, 9, -5],\n [-5, -2, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 3, -6, -6],\n [-4, 10, -7, -3],\n [10, -7, -1, 6],\n [1, 5, 6, 7]]\nB =\n[[-8, -1, -8, -3, 8, 3],\n [5, -3, 4, -7, 0, 8],\n [1, 4, -4, -6, -8, 4],\n [9, 6, 1, 2, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 3, 10, -2],\n [-4, 8, -7, -1, 2],\n [5, -4, 1, 9, -6],\n [-4, 2, 9, 8, -6]]\nB =\n[[-1, 6, -7, -2, -9],\n [2, -10, -9, -5, -2],\n [-5, -2, -6, 5, -8],\n [-4, -1, 9, 5, -2],\n [-3, 2, 3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -4, 8, 7],\n [4, 0, -6, -7],\n [5, -7, 3, 5],\n [-5, 1, 9, 3],\n [8, 8, 5, 4]]\nB =\n[[8, -6, -8, -7, 3, -3],\n [-8, -2, 1, 7, 10, 7],\n [5, -4, -9, 0, -4, -9],\n [-4, 6, -4, -6, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-651", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -2, 8, -10],\n [-7, -10, 10, 9],\n [5, -5, -1, 10],\n [9, 0, 3, -8],\n [-5, -5, -4, -6],\n [-8, -8, 9, 7]]\nB =\n[[-1, 3, 1, -5, 1, 9],\n [1, 4, 7, -1, 0, 0],\n [-6, 0, 2, 0, 6, -2],\n [1, 8, 1, -4, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -7, -10, 6],\n [-7, -9, 8, -4],\n [-1, 5, -4, 3],\n [-5, 4, 0, 8]]\nB =\n[[-8, 10, -9, -6, -10, 0],\n [2, 4, -4, 3, 1, -3],\n [3, -2, -8, -1, 10, -4],\n [7, -10, 0, -3, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -4, 1, -10],\n [4, 8, 4, 8],\n [-5, -2, -8, -5],\n [2, -9, 3, 7],\n [0, -6, -4, 3]]\nB =\n[[10, 6, 1, -6],\n [-6, 8, -6, -8],\n [-10, 7, -6, -5],\n [4, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[2, 7, 6, 1, -4],\n [8, -10, 3, 2, 5],\n [-2, 10, 10, -6, 6],\n [0, 7, 5, -1, -1],\n [10, 5, 7, -8, -4],\n [0, -8, 6, -5, 6]]\nB =\n[[-3, 2, 6, 3, 3],\n [-8, 10, 4, -10, -4],\n [4, -4, 7, -2, -7],\n [9, 9, 3, 9, 10],\n [-3, -2, 6, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -9, -10, -2, 3, 9],\n [-1, -4, -2, -1, 7, -10],\n [7, 4, -6, -4, 4, -10],\n [-5, -5, 9, 0, -2, -7],\n [2, -5, -9, -2, -9, 10],\n [7, 7, -9, -8, -9, 2]]\nB =\n[[-10, 5, 2, -5],\n [-1, 8, -5, -9],\n [6, 1, -2, -2],\n [-7, -3, 4, 7],\n [-10, 4, 1, -6],\n [-8, 3, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1602", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 5, 7, 2],\n [-7, 4, 9, -5, -9],\n [-7, -5, 7, -8, 9],\n [4, 6, 9, -2, 9]]\nB =\n[[1, 3, 2, -3],\n [10, -1, -9, 9],\n [-7, 1, 1, 7],\n [4, 1, 1, 8],\n [-6, -8, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 9, 8, 0, -7],\n [0, 2, -2, -4, -1],\n [-6, 2, 10, 10, 5],\n [-8, -5, 0, 3, -1],\n [-5, -6, 1, -6, 8],\n [-1, 9, 10, 6, 9]]\nB =\n[[-7, -8, -8, -2],\n [4, -6, -4, -4],\n [7, 2, 0, -10],\n [-9, 6, 4, 6],\n [-2, 3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[7, 1, -10, -7, -9, -8],\n [-10, 10, 9, 2, -2, 3],\n [0, -10, 1, -9, -5, -10],\n [-10, -10, -1, -7, 2, -5]]\nB =\n[[8, 3, 4, 7, -8, -7],\n [-5, 8, 4, -2, -5, 0],\n [-7, -9, 6, 4, 3, 7],\n [8, -1, -4, 6, -7, -6],\n [3, 5, 1, -4, -7, 3],\n [-1, 9, -3, 10, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -3, -2, -4, -9],\n [-5, 4, -2, 3, -5],\n [-4, -1, -3, -2, 4],\n [5, -7, -1, 5, 9],\n [-1, 2, 8, 8, 6]]\nB =\n[[7, -8, 7, 4, -1, -2],\n [8, -10, -5, -5, 7, -5],\n [-5, -10, -2, -7, -8, 6],\n [-8, -2, -6, 8, 8, -1],\n [-6, 5, -2, 5, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1908", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 6, 2, 10, 4, 8],\n [9, 4, 2, 1, -3, -8],\n [10, 2, 3, -4, -10, 0],\n [-7, 1, 7, 0, 0, 6],\n [-8, -4, -5, -4, 7, 6]]\nB =\n[[-7, 5, 2, -1],\n [-4, -3, -10, 10],\n [-10, 4, -5, 2],\n [-5, -4, -8, -9],\n [-3, -3, 4, 6],\n [3, 0, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, -4, -9, 6],\n [9, -4, 9, 9],\n [-2, -4, -4, -10],\n [3, 3, 5, 6],\n [-5, 3, -1, 5]]\nB =\n[[10, 5, 6, -5],\n [-6, 1, 7, 8],\n [10, 7, 8, -6],\n [-4, -5, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 10, -5, 5, 2],\n [-3, -8, 10, 1, 3],\n [-1, -8, 8, -6, -10],\n [2, -9, 1, 8, -8],\n [-6, -8, -6, -6, 0],\n [10, 3, 6, -3, 6]]\nB =\n[[-9, 1, 6, -6, -7],\n [-4, -8, -1, -2, 2],\n [-8, 5, -6, 2, -4],\n [9, 9, -6, 7, -10],\n [0, -7, -6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2336", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 5) of the product of the following matrices:\nA =\n[[10, 5, -5, -4, -7],\n [-7, 10, -2, -6, -4],\n [-6, 0, 8, 4, 10],\n [-9, 10, 9, -7, 7],\n [5, -2, -5, -3, 2],\n [-5, -3, -8, -10, -1]]\nB =\n[[-10, 8, -9, -1, -7, 0],\n [7, 8, 1, 8, -7, 5],\n [-7, -3, -4, 10, 10, 7],\n [8, -10, 8, 2, -7, 10],\n [-3, -3, -4, 7, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, 9, -8, 0, -5],\n [3, 10, 9, -7, -10, -2],\n [-7, -9, 6, 10, -1, -5],\n [3, 10, 2, 8, 8, -1],\n [10, 5, 9, 0, 0, -2]]\nB =\n[[8, 4, 9, 3, -8, 0],\n [-6, 1, -4, 10, -2, -10],\n [10, 4, 10, 8, 6, 7],\n [-8, -9, -1, 6, -10, -9],\n [3, 10, -3, -6, 9, 0],\n [-1, 1, -10, 3, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2442", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -4, -1, -4, -6],\n [3, 0, -7, 4, 2],\n [2, -2, -2, -8, 2],\n [7, -8, -8, -4, 1],\n [0, 9, 1, 1, -4]]\nB =\n[[3, 3, -6, 6, 5, 6],\n [8, -10, -8, 9, 7, -6],\n [0, -3, -3, 2, 8, -10],\n [-4, -9, -7, -9, 5, 7],\n [-8, 8, 10, -2, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -7, 4, -8],\n [4, -3, 2, 5],\n [5, -1, 6, -1],\n [1, 9, 5, 6],\n [6, -7, -4, -1],\n [-1, 6, 3, 3]]\nB =\n[[-5, 2, -7, -7, -10],\n [2, 1, -9, 8, -4],\n [0, 4, -5, 9, 0],\n [-3, 6, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 3, -4, 9],\n [-8, 1, -1, 5],\n [10, 8, 6, -10],\n [6, 10, -2, -8],\n [-5, 7, 4, -5],\n [9, 7, -3, -2]]\nB =\n[[0, -3, -10, -8, -4, -7],\n [5, 6, -4, 4, 2, 0],\n [-10, -9, 9, 5, -6, 4],\n [7, -9, 10, -6, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2299", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 3, 10, 6, -8, -1],\n [4, -10, -8, 4, -1, 9],\n [-9, -5, -6, 10, 1, -6],\n [5, 2, 7, 5, 6, 0],\n [-4, 3, -1, 0, -3, 4]]\nB =\n[[8, 4, -6, 4],\n [0, 8, 10, -1],\n [-6, -4, 6, 5],\n [-1, -9, 2, -8],\n [9, 10, 7, -10],\n [-7, -9, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-627", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 9, 3, 0, 8, -10],\n [-2, 5, -2, -3, 4, -5],\n [7, 7, -1, -10, -9, -7],\n [7, 8, 8, 9, -5, -2]]\nB =\n[[-2, 4, -6, 4],\n [-9, 4, -9, -4],\n [-10, 1, -5, 1],\n [-8, 5, -3, -5],\n [1, -4, -9, -10],\n [1, -6, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 4, 3, -9, 5, 8],\n [-3, 7, -5, 3, -7, 5],\n [-1, -1, -3, 3, -6, -1],\n [-3, 5, -1, -2, 9, -5],\n [8, -1, 8, -1, 4, 6],\n [-9, 4, -7, -1, -9, -1]]\nB =\n[[4, 8, -7, -4, 2, -9],\n [10, 5, 10, 10, -2, 10],\n [9, 2, -5, -9, 10, -4],\n [9, -6, -8, -4, 1, -5],\n [-4, 7, -4, -1, 1, 5],\n [9, 3, -2, 10, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1050", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -2, 2, 10, -7, -7],\n [3, 2, -6, -4, -2, -5],\n [6, 9, 2, -5, -1, -1],\n [1, -5, -8, 6, 4, -10],\n [0, 1, -7, 2, 3, -9],\n [6, 5, -8, -10, -1, -9]]\nB =\n[[6, 0, -6, 9, -8, -3],\n [-1, 10, -7, -9, 4, -3],\n [0, 6, 7, 6, 7, -5],\n [-10, -9, -2, 5, 10, -2],\n [10, -1, 0, 5, 0, -3],\n [9, 3, -10, 3, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1096", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 6, -2, -6, -2],\n [-1, -7, 1, -6, 7],\n [-8, -3, -8, -6, 9],\n [7, -5, -2, 7, 3],\n [8, -6, 8, -8, 0],\n [-8, 4, 9, 1, -5]]\nB =\n[[4, -9, -9, -5, 9],\n [9, 8, -10, -2, -4],\n [-4, 2, 0, -8, -9],\n [-7, -10, -2, 2, -9],\n [1, 5, -1, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -10, 4, 10, -2, -2],\n [-8, 9, 10, -6, 10, -2],\n [5, 5, -6, 6, -9, 6],\n [-7, 0, 7, -5, 1, -6],\n [-7, -3, 8, 8, -4, 1]]\nB =\n[[7, 10, 7, -9, 8, -8],\n [9, 2, -6, 2, -6, 4],\n [1, -4, -1, -10, 2, -10],\n [9, 4, -5, -8, -1, -5],\n [8, 3, 6, 7, 1, -10],\n [2, -6, -1, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1819", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 5, 1, -3, -5],\n [-7, 1, -8, 0, 8],\n [-10, -9, -7, -3, -7],\n [7, -5, -6, 1, -6],\n [-5, 9, 4, 9, 3]]\nB =\n[[-5, 6, 8, -1],\n [-8, 3, 0, -2],\n [9, 5, 9, 2],\n [3, 9, -4, 4],\n [6, 0, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1197", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 6, -9, 10],\n [10, -5, 0, 10],\n [4, -3, 8, -1],\n [2, -3, 9, -4],\n [10, 4, 1, 5]]\nB =\n[[-4, -7, 9, 1, 1],\n [-3, -7, -1, 3, 2],\n [8, 4, -8, 5, -4],\n [6, 1, -8, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "885", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -4, 7, -7, 7, -8],\n [-9, 1, -5, 8, -8, -5],\n [8, -7, -9, 1, -9, 8],\n [-3, 1, -8, 2, 8, 10]]\nB =\n[[2, -8, 9, -7, -1],\n [6, -10, -10, -2, 6],\n [2, -4, -6, -4, 4],\n [6, 3, 7, -10, 1],\n [-10, -10, 1, 3, -1],\n [-9, -8, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, 1, 2],\n [-4, -7, 7, -4],\n [-6, -10, -9, -5],\n [2, 3, -4, 2],\n [4, 6, -8, -7],\n [1, 5, 7, 10]]\nB =\n[[-8, 7, -5, -2, -2, -10],\n [1, -4, 2, -10, -4, 5],\n [-9, 2, -6, 6, -5, -8],\n [-9, 0, -6, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -1, 6, -1],\n [-8, -5, 3, 7],\n [10, -5, -5, -4],\n [-5, -8, 2, -1]]\nB =\n[[3, 6, 3, -10],\n [2, 10, 3, -7],\n [7, -7, 0, 10],\n [9, -9, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1223", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -1, -5, 0, -3, -10],\n [6, -9, 8, -10, 9, 1],\n [-8, 0, 6, -5, 1, 9],\n [-7, 8, -3, -2, 10, -2]]\nB =\n[[-8, -4, -6, 6, -6],\n [1, -8, -8, 4, -10],\n [8, -1, -8, 5, 6],\n [1, -8, -2, -4, -4],\n [-4, 5, 8, 5, -4],\n [10, -5, 2, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "769", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -5, 6, 8],\n [-7, 8, 4, -10],\n [2, -9, 9, 7],\n [9, 2, -2, 1],\n [-6, -10, -3, 0]]\nB =\n[[7, -1, -1, -2, -8, -1],\n [-3, 10, -8, -1, -3, 7],\n [-9, -8, 3, 10, -10, 7],\n [-9, -5, 2, 4, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[0, 6, -4, -9, -7],\n [-5, 7, 9, -9, 2],\n [-9, -2, 4, 10, -10],\n [1, -8, 3, 8, 6]]\nB =\n[[-7, -2, -4, 6, -3],\n [-1, 10, -5, 10, 2],\n [-4, 3, -3, 3, 9],\n [3, 4, -9, 5, -4],\n [-3, -3, 1, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -9, -8, -3],\n [-7, -1, -2, 1],\n [9, 6, -9, 0],\n [1, -9, 1, 2],\n [5, 1, -3, 6]]\nB =\n[[1, -6, 0, 7, -7, 0],\n [-7, 9, -10, 8, -10, 9],\n [-1, 1, -10, -3, 7, 0],\n [6, -2, 10, 10, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "369", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 3, 4, 7, -5, -8],\n [0, 1, -2, -8, -9, -1],\n [4, 0, -2, 2, 6, -2],\n [-6, -4, -2, 8, 7, 6],\n [9, -7, 4, -8, 3, 2],\n [2, 0, -10, -10, 5, -3]]\nB =\n[[10, 10, -3, 3, -6],\n [2, -9, 8, 7, 4],\n [3, 0, 10, -10, 6],\n [-7, 10, -6, 3, 10],\n [3, 4, -7, 1, 0],\n [-6, 3, 9, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-8, -5, -4, 10],\n [5, -9, 10, 6],\n [-3, -9, -2, -7],\n [10, 5, 6, -9],\n [10, 6, -8, -5],\n [0, 2, 5, 1]]\nB =\n[[6, 4, -8, 2],\n [-2, -8, 10, -10],\n [9, 6, -6, 9],\n [9, -8, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[6, 5, -10, 10],\n [7, 5, 9, 5],\n [2, -5, 10, 4],\n [-1, 10, 0, 10],\n [-10, 4, 8, -5],\n [3, -1, 6, 10]]\nB =\n[[9, -2, 2, -2, -3, 1],\n [10, -8, 2, -3, -2, 10],\n [3, -7, 10, -6, 6, 0],\n [-9, -2, 1, -6, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, -2, 0, 10, 3, 7],\n [9, 7, -3, -3, 2, -3],\n [7, 0, 10, -1, -6, 5],\n [10, 7, 2, 3, 3, 5],\n [8, -3, -10, -1, -4, -8],\n [8, -1, 9, 6, -6, 8]]\nB =\n[[-5, -2, 8, 4, -5],\n [0, 1, -7, -6, 3],\n [6, -2, 1, -2, 1],\n [6, 9, 10, 9, -9],\n [1, 10, -6, -6, 10],\n [6, 0, -5, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 6, -9, -8],\n [4, -2, -8, 3],\n [-5, -6, 9, 8],\n [10, -5, -3, 2]]\nB =\n[[-4, 4, 6, -6],\n [-2, 4, 5, 8],\n [-3, -4, 8, 10],\n [-8, 8, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 3, 4, -1],\n [-10, 8, 8, -5],\n [5, 2, -5, 2],\n [8, -9, 10, 3]]\nB =\n[[7, -6, -8, 3],\n [7, -2, -4, 5],\n [-8, 1, -1, -2],\n [5, 0, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, -2, -4, -10, -8],\n [5, -8, 10, 0, 6, 3],\n [-7, 8, 5, -3, -7, -10],\n [-1, -7, 5, 2, -1, 3],\n [2, 8, -1, -1, 3, 10]]\nB =\n[[9, 4, 8, 6],\n [-8, -2, -9, -3],\n [-5, 6, 10, -9],\n [9, 9, 0, -1],\n [-10, 2, -10, 3],\n [7, -6, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -5, 5, 5],\n [2, 6, 10, -10],\n [-6, 2, -6, 1],\n [-2, 5, -7, 4],\n [-9, -1, 8, -10],\n [7, -9, 5, 10]]\nB =\n[[-4, -2, -8, 2, 1],\n [-1, 3, -3, -5, -3],\n [-5, 1, -8, 9, 7],\n [-8, 4, 7, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -6, 10, -1],\n [-7, 1, -1, -9],\n [7, 5, -10, 3],\n [4, -10, -9, -5],\n [-4, -8, -2, 4]]\nB =\n[[1, 7, -8, 7, 3, 6],\n [-4, -8, 1, 5, 4, 7],\n [2, 10, -2, -7, -7, 5],\n [6, 9, -5, -4, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-4, 0, -2, 3, 8],\n [-9, -8, 1, 6, 8],\n [-7, 4, -10, 5, 1],\n [-3, -10, 8, 1, 3]]\nB =\n[[-6, 7, 9, -6, 5, 8],\n [-7, 5, 1, 1, 10, -5],\n [-7, -4, 2, 1, -3, -4],\n [-1, 1, 10, -8, -2, -7],\n [-3, -7, 0, -10, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[1, -5, 9, 0, 10, -4],\n [-2, -9, -7, 4, 5, -7],\n [-9, 4, 7, 10, -5, -8],\n [9, -3, -3, 1, 3, 7],\n [-8, 9, 1, -9, -8, -7]]\nB =\n[[8, -6, 10, 1],\n [3, 0, 10, 7],\n [-2, -5, -7, 0],\n [3, 4, 10, -1],\n [3, -1, -4, -7],\n [5, 7, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -1, 0, 7, 7, -6],\n [-7, -10, -3, -3, 5, 4],\n [8, -2, -10, -3, -10, 9],\n [-2, -9, -7, -3, -7, -2],\n [-7, -2, -6, -10, -2, -2],\n [-4, -1, -5, 5, 5, 3]]\nB =\n[[-4, -2, -10, 6, 8, -10],\n [-7, 9, -9, 0, -6, -1],\n [-6, -2, 10, 6, 10, 7],\n [-10, -8, 7, 2, -7, -3],\n [-4, 8, -10, 2, 2, 5],\n [-7, -9, 1, -3, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2536", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -3, 10, 10, 9, 3],\n [8, -1, 7, 5, 7, 9],\n [8, 10, -4, -2, 3, -8],\n [4, -8, -3, -6, 3, 6],\n [3, -2, 7, 9, 0, 2],\n [1, 8, 9, -5, 9, 0]]\nB =\n[[-7, -2, -4, 9, -2],\n [-6, 9, 3, -8, -2],\n [7, -5, -7, 8, -2],\n [-8, -8, 4, 6, -8],\n [6, -7, -10, -2, -8],\n [-1, -5, -9, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3087", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 4, -4, -2],\n [-1, 7, -10, 3],\n [6, -5, 5, 2],\n [-1, -9, -5, -2]]\nB =\n[[1, -7, -6, 1, 0],\n [2, -6, -10, 5, 3],\n [-8, -1, -6, 3, -8],\n [-1, -1, 4, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -9, 1, -8, -1],\n [9, -4, 1, 9, -5],\n [2, 2, 4, -8, 0],\n [0, -10, -8, 6, 1]]\nB =\n[[0, -4, 0, 10],\n [4, 2, -5, 10],\n [6, -1, 6, -1],\n [10, 7, 1, 0],\n [-8, 4, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-6, -2, 8, -6, 4, -7],\n [-3, -2, 0, -2, -10, 6],\n [0, 6, -3, 2, -8, 9],\n [8, -1, -3, 2, -5, 10]]\nB =\n[[4, -2, -9, 1, 6, 1],\n [-1, -3, 2, 9, -4, -2],\n [-4, -3, 0, 0, 7, 4],\n [4, -2, 10, -3, 3, 3],\n [-5, 6, -6, 6, -5, -1],\n [9, -5, 3, 0, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-7, 6, 5, -9, 1],\n [5, 1, 2, -4, 1],\n [-7, 3, -7, -5, 6],\n [-4, 5, 1, 6, -4],\n [10, -3, 6, -6, 2],\n [-3, 10, -4, -3, -2]]\nB =\n[[9, 9, -6, 8, 6, 2],\n [5, 2, 4, -4, 10, -1],\n [-5, -3, 6, -5, -8, 10],\n [9, -3, -1, -3, 10, -9],\n [2, -6, 1, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, 2, 0, 2],\n [-10, -8, -8, -6, 9],\n [1, -4, -6, 8, 8],\n [-1, -9, 4, -9, -4],\n [9, -5, -2, -10, -4]]\nB =\n[[9, 3, 6, -6, -5],\n [3, 10, 4, 0, 4],\n [7, -1, 0, -8, 4],\n [0, 6, -3, 3, -8],\n [-1, 6, -10, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-919", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -2, 0, 6, -7],\n [-1, 10, 0, 5, 10],\n [-9, 9, -4, 1, -3],\n [-10, 1, -6, 9, -4]]\nB =\n[[3, 7, 0, -2],\n [3, -8, -5, -9],\n [-10, -10, 3, -9],\n [-8, -5, -8, 2],\n [-4, 1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-505", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -1, 8, 6, -9, 9],\n [2, 9, -2, -1, 6, 4],\n [-6, 0, -5, -8, 6, -8],\n [-6, -4, -10, 8, 2, -10],\n [-3, 1, 5, -4, 6, 6]]\nB =\n[[3, 5, -1, 0, -5],\n [10, -2, 5, 0, -8],\n [-4, 8, -6, 3, -7],\n [3, 3, 5, -5, -4],\n [-8, 9, -7, -5, -8],\n [-10, -2, -7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1536", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -3, -8, 5],\n [10, -7, 2, -4, -1],\n [-4, -5, 0, -6, 0],\n [9, 8, 8, -9, 10],\n [-8, 4, 9, -10, 0]]\nB =\n[[-6, -8, 0, -5],\n [2, 6, 7, 0],\n [4, 2, 10, 4],\n [4, -1, -10, 0],\n [5, -3, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 6, 6, 8],\n [-4, 2, -2, 4],\n [-1, -10, 9, -4],\n [-10, 5, 8, 8]]\nB =\n[[9, 10, -7, 8],\n [-3, 9, -4, 8],\n [-10, -10, 8, 6],\n [0, 9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, 10, -8],\n [-9, -9, -10, 6],\n [5, 7, -9, -9],\n [2, -6, -4, 0]]\nB =\n[[10, -2, -7, 9, 7, 2],\n [-8, 8, -3, -1, 3, 6],\n [3, -4, 6, -1, -5, -7],\n [-3, -1, 9, 9, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 8, 3, -7, 0, 0],\n [-8, -9, -6, 6, 5, -2],\n [-3, 4, -5, 2, -1, -7],\n [1, -9, 9, 1, 9, 4],\n [-6, 1, -9, 2, -8, -3],\n [-8, -6, 1, 10, -2, -8]]\nB =\n[[-2, 3, -8, -2, -4],\n [4, 0, -5, 9, 6],\n [7, 5, 2, -4, -6],\n [-5, 3, -10, 3, -3],\n [4, -8, -5, 8, -6],\n [-9, -10, 8, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1461", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -3, 3, -9, 3, 10],\n [-4, 9, -4, -8, 1, -4],\n [-8, 0, 9, 7, 5, -1],\n [1, -7, -9, -8, -7, 5],\n [4, -8, -4, 3, -3, -7],\n [-3, -2, -6, 0, -8, 9]]\nB =\n[[-7, -8, -1, 8],\n [8, -7, 9, 1],\n [5, 10, 4, 0],\n [-10, -7, 3, -9],\n [-7, 0, 3, -5],\n [-2, -2, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1578", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 5, 8, -8],\n [2, -2, -4, -3],\n [-5, -7, 7, 5],\n [1, 10, 0, 8],\n [6, 10, -7, -8],\n [0, -1, 5, 1]]\nB =\n[[4, 8, -7, 2, 2],\n [7, 10, 1, -7, 8],\n [0, 9, -10, 4, -7],\n [-10, -4, -9, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 7, 3, -9, -4, -3],\n [6, 2, 8, -3, 4, 3],\n [0, -4, -6, -10, 1, -8],\n [8, 3, -9, 0, -8, 4],\n [-6, 10, 1, 5, 1, 10]]\nB =\n[[3, 7, 0, 5, -5, -3],\n [6, 5, 0, -1, -4, -4],\n [-2, 6, -9, 7, 9, 1],\n [7, 9, 5, -5, -6, 6],\n [1, -1, 6, -6, -4, 9],\n [-9, -2, 0, 5, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-294", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 4, -4, -8, 4, 5],\n [2, -1, 1, -6, -6, 6],\n [-8, 3, 2, -2, -3, 10],\n [-5, -10, 8, 2, -4, 6]]\nB =\n[[2, -4, -9, 9],\n [3, 6, -5, 1],\n [10, -9, -1, 8],\n [10, 8, 2, -9],\n [5, 8, -8, 3],\n [4, -7, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[2, -4, 9, -2, 0, 7],\n [-7, 4, 3, 10, 10, -7],\n [1, 1, 6, -9, 0, 8],\n [3, 8, -5, -5, -3, -8],\n [-2, 3, 8, 3, -10, -2],\n [-1, 6, 9, -3, -8, -8]]\nB =\n[[2, 7, 3, -8, -2, 3],\n [-7, -5, 5, 7, 2, -9],\n [-10, -5, 8, 6, -3, 5],\n [1, -8, -5, 0, -5, 1],\n [8, 0, -3, -8, 2, 3],\n [-7, 6, -2, 9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -8, 0, -8, -1],\n [-4, 8, 4, -9, -4],\n [-1, 0, 1, -9, 4],\n [6, 9, 7, 8, 5],\n [-2, 1, -4, -6, -4]]\nB =\n[[-9, -5, 1, -8],\n [9, 5, 3, 2],\n [-6, 5, -6, 7],\n [7, -2, -4, 7],\n [3, -9, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 9, 6, -4, 6, -9],\n [7, -3, -6, 2, -7, -6],\n [-3, -9, -10, 0, -2, 1],\n [4, 7, -10, -6, 2, -5]]\nB =\n[[-10, -1, -9, 5, 2, -10],\n [-7, -3, -9, -6, -6, 3],\n [3, -3, 4, 5, -6, -9],\n [6, 3, 10, -7, 7, 1],\n [-3, -9, 9, -4, -9, 8],\n [-10, -7, 3, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1768", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -8, -2, 2, 4],\n [-9, 7, -1, 3, 4],\n [-4, -9, 8, -2, 6],\n [3, 3, 2, -7, -4],\n [1, 4, 1, -5, 7],\n [3, 3, 7, -4, -3]]\nB =\n[[6, -6, -2, -1, 6],\n [-3, 9, -8, 4, -2],\n [-7, -4, -2, 3, 10],\n [7, 4, -3, -9, -8],\n [10, -9, 10, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, -4, 1, -10],\n [-5, -5, -5, 9],\n [7, 6, -1, -4],\n [7, 2, 8, -3],\n [0, -4, 0, 1]]\nB =\n[[-1, -10, -10, -8],\n [-6, -9, 3, -5],\n [-5, -10, 9, -4],\n [-3, 4, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 2, 10, 6, 8],\n [-3, 5, 5, 3, -5],\n [6, -7, 1, -7, 7],\n [0, 10, 0, -4, -9],\n [7, 4, -7, -3, -6]]\nB =\n[[-1, -7, 3, -6, -3, -3],\n [10, -8, 5, 3, 7, 2],\n [-3, -9, 1, 10, -4, 0],\n [9, 9, 3, 6, -9, -3],\n [10, 5, -3, 0, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1792", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 7, 4, 0, 8],\n [-1, -9, -4, -10, 4],\n [7, -3, -10, -4, 5],\n [-10, 6, 3, 9, 1],\n [2, 8, 6, 4, -7],\n [-1, -6, 7, -9, -2]]\nB =\n[[2, -3, 1, -3, 5],\n [6, -5, -3, 4, -2],\n [6, 3, 10, 6, -9],\n [-3, -8, -1, 10, 1],\n [7, 0, -10, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -8, -4, -2, 9],\n [-4, 7, -6, 9, -1, 1],\n [7, 0, -2, -5, -9, 7],\n [3, -1, 0, 9, 3, -9]]\nB =\n[[-9, -4, 7, -9, 6, 9],\n [-6, -3, 10, 9, -10, -8],\n [1, 2, -7, -8, 3, -7],\n [-9, 10, -5, 7, 2, -3],\n [-1, 4, 4, 9, -7, -10],\n [-10, -3, 7, 9, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -5, -10, 9],\n [-1, 8, -1, -7],\n [-10, -9, -3, -1],\n [-2, 5, -9, -2]]\nB =\n[[-6, -5, -3, -5, 7],\n [5, 2, 4, -5, -3],\n [-5, 10, -9, -10, -10],\n [5, -9, 0, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "791", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 3, 6, -10, 8],\n [-4, 7, 3, 9, -7],\n [-4, 5, 0, -5, 5],\n [-6, 6, 1, -2, -4],\n [-1, -8, 5, 6, 8]]\nB =\n[[-7, -1, 10, -1, 6, -5],\n [-9, 1, -8, 5, -5, -5],\n [-8, 4, 7, 4, 6, 10],\n [8, 3, -6, 9, 5, 7],\n [1, -8, -7, 6, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, -8, 2],\n [-2, 0, 10, 2],\n [-3, -5, 3, 10],\n [3, -1, 2, -4],\n [-3, 7, 4, 2],\n [2, 9, 0, 5]]\nB =\n[[-4, 5, 1, -3, -6, -7],\n [3, -5, 6, 3, -7, 5],\n [6, 4, 4, -9, -6, 8],\n [-2, -1, -6, -3, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 2, -10, -10, 7],\n [-10, -6, 9, 2, 4],\n [-10, -9, -3, 10, -9],\n [-10, -9, -7, 2, 8],\n [-3, -10, 10, 8, 3],\n [1, 10, 2, -10, 5]]\nB =\n[[-10, -10, -6, 7],\n [7, -8, -7, 7],\n [-4, 9, -10, -3],\n [-2, 10, 4, -6],\n [-5, 2, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-1, -4, 8, 9, 2, -10],\n [-2, -10, 7, -4, 8, -8],\n [-7, 8, 8, 1, -9, -4],\n [2, 9, 7, 10, 5, 7],\n [7, 0, 6, 9, -10, 9],\n [-7, 7, 5, 1, -6, -6]]\nB =\n[[10, -2, -10, -2],\n [-9, 10, 7, -10],\n [1, 4, -10, 3],\n [4, -5, -5, 5],\n [-4, 1, -7, -9],\n [8, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, -6, -8, 1, 5, 7],\n [-5, 0, -3, -1, -8, -6],\n [2, 2, 5, -10, -3, -5],\n [6, 1, 9, 5, -5, -3],\n [-9, -3, 5, -8, 3, 1],\n [-5, -10, -6, -7, 0, -4]]\nB =\n[[-2, -6, 5, -1],\n [-4, 5, 9, 8],\n [-2, -2, 8, 7],\n [-3, -3, -1, 6],\n [3, 0, 3, -7],\n [-6, -1, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 3, 4, 9, 4],\n [8, 5, 4, 5, 10],\n [-4, -2, -6, -8, 0],\n [10, -9, -10, 0, -3],\n [1, 8, 9, -6, 10],\n [2, 9, 1, 6, -8]]\nB =\n[[5, 2, 2, 7, 6],\n [5, 9, -3, 0, -10],\n [10, -4, 4, -2, 5],\n [1, -4, 8, -9, -8],\n [-2, 4, -10, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2059", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-3, 9, -10, -1, 0, -2],\n [-9, -9, -3, -2, 8, -5],\n [-5, -2, 10, 10, 3, 0],\n [-5, 8, 3, 1, -1, -8],\n [-8, 4, -1, 7, 10, -7]]\nB =\n[[7, 7, 6, 5, 4, 10],\n [0, 5, -3, -8, -10, -3],\n [8, -2, 5, -7, -7, -6],\n [9, 7, 9, 3, -1, -10],\n [3, -5, -8, 8, -4, 10],\n [3, -6, -5, 6, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-1, -4, -4, -3, -9, -1],\n [9, -10, -4, -6, 0, 8],\n [-4, -4, -6, 10, 5, 4],\n [10, 10, -4, 2, 8, 10],\n [8, 1, -7, 6, -2, -7]]\nB =\n[[-9, 10, 10, -6, -10],\n [9, -1, 2, -3, -7],\n [-9, 8, 8, 4, -1],\n [-5, 10, -1, -8, -7],\n [4, 9, -3, 7, -8],\n [8, -5, 4, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -5, -2, -7, -9],\n [10, 6, 9, 1, 1],\n [-5, -5, -2, -1, -7],\n [1, 1, 7, 6, 2],\n [8, -3, 0, 3, 7]]\nB =\n[[1, -10, -3, -9],\n [-2, -2, -1, -6],\n [5, 2, -1, 9],\n [1, -1, -10, -6],\n [-6, 6, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[10, 6, -4, -3, -8],\n [-1, -7, 6, 2, -9],\n [6, 10, 0, 3, -1],\n [-5, 9, -8, -8, 0],\n [-7, 4, -7, 2, 3]]\nB =\n[[-4, 8, -5, -8, -5, -10],\n [5, -1, 4, 10, 3, -5],\n [-8, -10, -2, -1, -3, -5],\n [5, -8, -6, -2, 2, 3],\n [6, -3, 8, 9, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 8, -1, 10],\n [-10, -2, -3, -3],\n [-10, 1, -7, 9],\n [-9, 8, 6, 3],\n [-1, 3, 10, -8],\n [5, 9, 1, 9]]\nB =\n[[-1, 4, -10, 3, 7, -9],\n [-8, 0, -4, -9, 0, -3],\n [-7, -10, -7, -6, -2, 6],\n [0, 7, -2, -2, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -5, 7, -5, -6],\n [-5, -10, 9, 2, 7],\n [7, -4, -7, -9, 4],\n [9, 2, -6, -4, 9],\n [4, 7, -2, 2, 0]]\nB =\n[[-4, -7, -4, -10, -3],\n [-9, 3, -3, -8, -9],\n [6, 1, -1, -5, 9],\n [-2, 4, 2, 10, 10],\n [-3, -10, 5, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-654", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -10, 0, -5, -5, 7],\n [8, -6, -1, -6, -4, -3],\n [-3, -7, -8, 7, -7, 3],\n [0, 2, 8, 1, 7, -10],\n [-2, 7, -4, -1, -10, -5]]\nB =\n[[0, -6, 8, 3, -8, 9],\n [10, -9, -1, -8, -9, 4],\n [2, 6, -8, -2, 3, 9],\n [1, -5, -9, 6, -2, 0],\n [3, -8, 9, -1, 0, -5],\n [-6, 2, -9, -8, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 1, -1, 8],\n [-9, 4, -8, -1],\n [-1, 2, 2, -10],\n [-3, 8, -4, -6],\n [6, 5, 10, -1],\n [-7, -5, -6, 9]]\nB =\n[[-8, 1, 8, -1],\n [10, 7, 4, 6],\n [9, -2, -2, 5],\n [-10, -5, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1593", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 4, 6, 8, -1],\n [-6, -1, 6, 4, 8],\n [2, 8, -7, 8, 8],\n [-4, -3, -1, 8, 9],\n [-5, -3, -3, -6, 2],\n [-4, -4, -3, -2, 6]]\nB =\n[[7, 3, 5, 10, -6],\n [7, 4, -7, 5, 4],\n [-3, -3, 1, -1, 4],\n [1, -1, -1, 0, -8],\n [5, 7, -6, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1278", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 7, -5, 0, 5],\n [2, 0, 1, 2, 5],\n [2, -1, -10, -3, 0],\n [-8, -1, 3, 8, -5]]\nB =\n[[10, 4, -3, -6],\n [4, -1, -4, -8],\n [-8, 7, 8, 3],\n [1, 3, -1, -5],\n [2, -8, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "892", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, 0, 7, -4, -3],\n [-7, 10, -4, -3, -4, 8],\n [6, 9, -9, 1, 8, -2],\n [-2, 1, -2, 1, 4, -2]]\nB =\n[[1, 1, -5, 6, -7],\n [2, -2, 5, -3, 9],\n [2, 0, 7, 9, 3],\n [-1, -8, 6, -9, -3],\n [-2, 1, -4, 10, 2],\n [9, -9, -2, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "989", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[1, -1, 10, 9],\n [3, 3, -7, -9],\n [-9, -5, 8, 5],\n [2, -5, -4, -10]]\nB =\n[[9, -2, 6, 1],\n [9, 10, -7, -1],\n [-10, -4, -1, -10],\n [-5, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[9, -7, 10, 3, 6],\n [4, 6, 10, 6, -6],\n [3, -7, -9, 10, 7],\n [2, -3, -8, -6, 3],\n [-6, -3, -9, 0, 9],\n [-5, 5, 10, -7, -5]]\nB =\n[[-9, -3, 1, -3, 9],\n [1, 2, -10, 10, 2],\n [7, -7, -5, -1, -6],\n [-8, -5, 2, -10, 8],\n [-9, -5, 8, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, 0, 1, -4],\n [7, 3, 4, 4, -5],\n [4, -10, 3, 5, 4],\n [-5, -1, 3, 6, -2],\n [-1, 10, -2, 7, 1],\n [-4, 0, 10, 1, -8]]\nB =\n[[4, 3, 8, -1],\n [-1, 0, -3, 9],\n [6, 6, 9, -4],\n [-10, -8, 3, -1],\n [-5, 9, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -8, -10, -10, -5],\n [0, 2, -3, -3, 0],\n [0, -6, 6, -8, -10],\n [9, -4, 10, -4, 2],\n [9, 1, 1, 9, 3]]\nB =\n[[8, 1, 8, 2, 1, 10],\n [2, -6, 9, -7, 2, -7],\n [1, 4, 5, -1, 5, 0],\n [0, -7, 4, -5, 9, -8],\n [1, 3, -4, 2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[10, 0, 1, 0],\n [-3, -10, 7, 2],\n [-10, -5, -7, -4],\n [-10, 10, 1, -10]]\nB =\n[[-2, -5, -3, -1, -3, 1],\n [-9, -1, -9, -2, 10, -9],\n [10, -9, 4, 3, 9, 5],\n [3, 8, 3, 7, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -8, 3, -1],\n [-10, 0, -1, 2],\n [7, -6, 3, -8],\n [-9, -6, 1, 10]]\nB =\n[[8, -8, 4, -9],\n [6, -1, 3, 2],\n [-2, -9, -10, -10],\n [4, -8, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, -4, -2, 9],\n [-10, 10, -3, 8, -7],\n [-6, -8, -3, -1, -3],\n [-7, 8, 4, -9, -2],\n [7, -7, 0, -9, -1]]\nB =\n[[8, 5, 10, 6, -5, 10],\n [-3, -3, 8, 3, -8, -10],\n [4, -10, -7, 1, 1, -7],\n [-9, -5, -2, 10, -4, -6],\n [7, -6, 0, -1, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[7, -3, 6, 7, -8],\n [7, 9, 0, -10, -8],\n [-1, -7, -6, -10, -1],\n [9, 9, 6, -1, 0],\n [-9, -9, -10, -10, -8],\n [0, -8, -9, 1, -7]]\nB =\n[[-7, 4, -1, 1, 3, -8],\n [-2, -7, -8, 8, -2, 4],\n [-4, 4, 10, -5, 10, -5],\n [8, -4, -4, 9, -7, 6],\n [-4, 0, 3, -8, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -7, -2, -4],\n [-3, -8, 6, 10],\n [-1, 7, -9, 0],\n [2, -3, -6, 7],\n [-9, -9, -10, 4]]\nB =\n[[7, -5, 0, -1, 0, -4],\n [-9, 3, -4, 1, 5, 4],\n [-10, 3, 0, -5, -6, -2],\n [-5, 7, -6, -10, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1495", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -5, -4, -1, 4, 3],\n [-3, -3, -9, -7, 7, -1],\n [10, 4, 8, -10, 9, 6],\n [8, 9, 9, 9, -1, 6]]\nB =\n[[-4, -10, 5, -6, -6, 10],\n [-10, 8, -4, -4, 7, -7],\n [-10, -3, -1, 10, 0, 8],\n [4, 8, -1, -4, -6, 9],\n [-1, 0, -8, 6, 4, -7],\n [3, -9, 10, -9, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-610", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 7, -5, -2, -2, -3],\n [0, -1, 4, -10, -7, 0],\n [4, 0, 1, 9, -6, -9],\n [10, -3, 1, -4, -4, 3],\n [3, -7, 8, -1, 0, 4]]\nB =\n[[-2, 3, 10, 3, -1],\n [-6, -10, -9, 8, -9],\n [-9, -3, -4, -9, -4],\n [7, 1, 9, 1, -9],\n [-1, 3, -8, 9, -4],\n [1, -3, -4, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-6, -5, -10, 5],\n [-9, -1, -5, -7],\n [-6, -6, -5, 6],\n [-2, 8, 2, -6],\n [-6, -1, -2, 6],\n [1, 8, 0, -7]]\nB =\n[[-9, -4, -6, 3],\n [0, -10, -5, -1],\n [4, 9, 4, -9],\n [-3, 5, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 3, 3, 1],\n [-5, -2, -10, -3],\n [-9, -9, 3, -5],\n [4, -4, -6, 6],\n [8, -3, 0, -5]]\nB =\n[[5, -5, 0, 1],\n [-10, -1, -4, -9],\n [-5, -5, 7, 4],\n [10, 10, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -4, 5, -4, -9],\n [-6, 9, -8, -9, 1],\n [-1, 3, -10, 4, -8],\n [-4, 9, -9, 4, 4],\n [7, 3, -3, -4, -9],\n [-7, 1, -1, -7, -1]]\nB =\n[[-7, -6, -10, -6, 5, -8],\n [8, 8, -9, 10, -3, 6],\n [10, -9, 7, -8, 4, 3],\n [8, 8, -2, 3, 1, -6],\n [3, 10, 4, -10, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2964", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, -8, 9],\n [-10, -2, 10, 0],\n [2, 0, 7, -6],\n [-4, 1, -5, -4],\n [-9, 5, -2, 10],\n [9, -7, -9, -8]]\nB =\n[[-1, 9, 5, 10, -8, 7],\n [8, -9, -9, -10, 5, 3],\n [7, -1, 10, -3, 4, -1],\n [-2, -1, -10, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2707", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 7, 8, -4, 5, 2],\n [10, 4, -4, 9, 8, -8],\n [-9, 1, -6, -7, 10, 2],\n [7, 9, 1, -3, 7, 2],\n [-2, 4, 8, -9, -9, -7]]\nB =\n[[5, 9, -8, -8, -8],\n [10, -5, -1, -7, 1],\n [4, 7, -6, -9, 8],\n [-10, 9, -2, 0, 3],\n [8, -9, -2, 10, 3],\n [10, 7, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 3, -9, -10, -8],\n [-5, 4, -5, 2, 7],\n [-5, 3, -7, -7, 2],\n [6, 2, -5, -4, 6],\n [-3, 9, -2, -9, 7]]\nB =\n[[0, -6, -5, 0, -4],\n [5, 7, 2, 5, 7],\n [-3, -7, -2, 2, 9],\n [-8, 2, -10, 10, 5],\n [8, -3, 5, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, -2, -3, -6],\n [-9, -9, 5, 3],\n [-7, 8, -8, -5],\n [3, 2, 4, -1],\n [0, 6, 8, -1],\n [1, 9, -8, -7]]\nB =\n[[-2, 8, -3, 2, 6],\n [-10, -9, 3, 9, 8],\n [7, -5, -8, -5, 2],\n [5, 10, 2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 1, 0, 3, -4],\n [-3, -6, -6, 9, -7],\n [8, -4, -4, -6, -8],\n [5, 8, -9, -6, 8],\n [6, 7, -9, -7, 9]]\nB =\n[[2, -2, 9, 5, -9, 8],\n [6, -4, 3, -6, -7, -10],\n [-6, 0, 7, -5, -3, 10],\n [-10, -3, -6, 6, -10, -9],\n [2, -9, 2, -5, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2540", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[10, -7, 1, -10, -3, -6],\n [2, -8, 3, -2, 8, -8],\n [2, 9, 10, -9, 6, 8],\n [1, -3, -10, 4, 9, -7],\n [7, -5, 1, 10, 7, 6]]\nB =\n[[3, 10, 4, -10, 5, -10],\n [-10, -7, 1, 2, -7, 1],\n [-5, 7, -1, 7, -7, -9],\n [0, 0, 7, 0, 4, -9],\n [-3, -2, -4, -9, -8, -6],\n [-6, -3, 5, -7, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 4, -1, -7],\n [-2, 2, -6, -2],\n [-5, -6, -7, 0],\n [-5, 8, -1, -5],\n [10, -6, -7, -2],\n [-7, -3, -6, 0]]\nB =\n[[-10, 10, -8, -6, -8],\n [-9, 10, -6, 4, 7],\n [10, 3, 5, 2, 10],\n [-8, -4, -2, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1564", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -4, 6, -10],\n [6, 9, 8, -1],\n [-7, -1, 9, 1],\n [5, 2, 0, -10],\n [-8, -4, 7, -6]]\nB =\n[[-5, 4, -7, 3],\n [2, 3, 1, -7],\n [-5, -7, 0, -9],\n [-6, -7, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 3, 6],\n [-2, -5, -6, 0],\n [5, 4, -2, -6],\n [-4, -8, -5, -5],\n [2, 0, 9, 4],\n [5, -6, 9, 6]]\nB =\n[[-6, -6, -10, 1, 2],\n [-7, 9, -8, -10, 0],\n [7, 6, -9, -10, -4],\n [10, -3, -7, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-9, 4, -8, 8, 3],\n [-4, 2, 6, -1, 0],\n [7, 9, -2, -3, 6],\n [-7, 8, 5, -10, -8],\n [9, 3, 9, -10, -9],\n [-8, 0, 4, -9, 2]]\nB =\n[[2, -4, 4, 10],\n [-8, -6, -3, -4],\n [-10, 10, -5, 4],\n [9, -3, 9, 2],\n [8, -8, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, 10, 5, -5, 8],\n [-10, -9, 8, 3, 2],\n [-5, 10, 9, 7, -5],\n [-8, -10, 8, 5, 5],\n [4, 1, 5, -5, -8]]\nB =\n[[-7, 2, 5, 3, -8],\n [2, 0, 10, -3, -1],\n [7, -4, -10, -8, 1],\n [-2, 8, 1, -9, 2],\n [-9, 1, 10, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, -5, 5],\n [5, 2, -6, 3],\n [-7, 6, -10, -4],\n [5, -1, -7, -10],\n [-6, 0, 10, 1],\n [-5, 4, -6, 2]]\nB =\n[[-3, -2, -9, -10, -1],\n [-5, 4, 6, 0, -1],\n [-10, 9, 4, 7, 8],\n [4, 7, 3, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-313", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 4, 6, 9, 3, -6],\n [4, 3, 9, 1, 2, -5],\n [7, -1, -10, -6, -6, 2],\n [5, 3, -10, 10, 5, 4],\n [-8, 2, 2, 9, -5, -7]]\nB =\n[[-1, -1, -9, -1, 1],\n [1, -2, 10, 7, 3],\n [-10, -2, 10, 1, -10],\n [7, -9, 4, -10, 9],\n [6, -10, 9, -4, 8],\n [-3, -5, -6, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, -2, -5, -3],\n [6, -5, 10, 9, -2],\n [-9, 0, 4, -4, -2],\n [-9, -5, -6, -9, 8],\n [-10, 5, 2, -1, -4]]\nB =\n[[6, -1, 7, -7],\n [7, -6, -2, 9],\n [1, 10, -6, -9],\n [-10, -6, 5, -5],\n [-6, -1, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 4, 8, -4, 9, -9],\n [0, -7, -2, 4, 1, 9],\n [2, -8, 3, 4, 1, 6],\n [-6, -9, -10, 2, -8, -4],\n [-7, -8, 3, 0, -8, 0],\n [1, -2, 9, 2, -7, -10]]\nB =\n[[5, 9, 7, -5, 3],\n [-5, -10, -2, -3, -4],\n [9, -2, -6, -2, 0],\n [4, 1, -4, 0, -9],\n [0, -5, 1, -8, -7],\n [10, -9, -7, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "847", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-10, -4, 7, -1, -2],\n [10, -1, 4, 7, 8],\n [-1, 5, -1, 5, -4],\n [5, 10, -3, -10, -5],\n [-9, -5, 9, -4, -8]]\nB =\n[[-7, 4, -8, 6],\n [7, -1, -2, 3],\n [-3, -5, 3, -6],\n [10, 3, -9, 2],\n [7, -9, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, -3, 4, -4, 10],\n [8, 3, -5, 8, -3, -8],\n [-10, 1, -10, -9, 0, -1],\n [-5, -4, 10, -2, -10, 10]]\nB =\n[[-2, 5, 1, -4, 1],\n [0, 8, 8, -4, 5],\n [4, 10, -10, 6, -8],\n [-3, -3, -6, 4, 7],\n [8, -8, 1, -6, -7],\n [-6, 5, -6, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, 9, 5, 5, 10],\n [-3, 8, 4, -10, 1, -3],\n [6, 6, 9, -6, -9, 0],\n [-2, -2, -4, 8, 5, 10],\n [-8, -8, 8, -9, 2, 0],\n [-9, -3, 7, 10, 1, -9]]\nB =\n[[10, 5, 5, 5, 4],\n [0, 5, 2, -1, 2],\n [-9, 0, -6, -3, -1],\n [6, 7, -4, 5, -4],\n [-5, 3, -4, 10, 6],\n [-10, -6, -8, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1423", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -10, 8, 0, 9, 8],\n [5, 4, 10, 3, 6, -1],\n [5, 9, 6, 2, -1, 0],\n [-7, 1, -3, -8, -9, 4],\n [6, 2, 9, -7, 0, -6]]\nB =\n[[-6, -4, -7, -2],\n [-9, 8, 5, 4],\n [2, -9, -4, -5],\n [-5, 1, -4, 1],\n [-6, -6, -10, 9],\n [1, -2, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -7, 2, -9, -6, -2],\n [8, -6, -6, -7, 8, -3],\n [-2, 5, -7, 3, -7, 10],\n [6, -6, 10, 0, -2, 6],\n [1, 6, 8, 0, 5, -9],\n [-8, 9, -5, -8, 10, 0]]\nB =\n[[8, -1, 10, -2, 2, 9],\n [-6, 9, 7, 1, -2, 7],\n [10, 5, -9, -6, 10, -6],\n [6, 7, 7, 5, -10, -6],\n [-4, -7, 7, -2, 2, 3],\n [-1, -8, -1, -9, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2781", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, 9, -2, 2, -1, -5],\n [3, 10, 0, 10, 5, 7],\n [-8, 1, -1, -7, 8, 6],\n [7, -8, 7, -4, 7, -8],\n [2, -4, -5, 4, -10, -8],\n [-5, -10, 0, -8, 10, -1]]\nB =\n[[9, -5, 8, 2, 8],\n [1, -7, 0, -5, -2],\n [6, -8, -4, -1, 9],\n [8, 3, 7, 4, -5],\n [-7, 8, -9, -6, 4],\n [8, -6, 7, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 10, 0, -2, -5, 10],\n [4, -2, 6, -1, -7, -7],\n [-3, 6, 1, 6, -7, -10],\n [-6, -9, -10, 7, 7, -9],\n [-2, -2, -1, -7, 6, 6],\n [-10, 6, 0, -10, 9, 5]]\nB =\n[[-7, -9, 1, -3, 4, -10],\n [9, 8, 6, 4, -4, 1],\n [3, 2, -1, 2, 1, 5],\n [-5, 8, 4, 1, 5, 4],\n [-6, -10, -3, 0, -6, 1],\n [-1, 3, -2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 8, 8, 10, 5, 2],\n [-5, -10, 6, -3, 1, 1],\n [-8, 3, 2, 10, 5, 10],\n [0, 7, 1, -6, 5, 5],\n [-7, -9, 4, 0, 8, -7]]\nB =\n[[5, -2, 1, 9, 8, -8],\n [2, 4, 2, 10, -3, -7],\n [2, -3, -10, 10, -10, 10],\n [-9, -7, 10, 3, -9, 4],\n [4, 3, 3, -6, -5, -5],\n [1, 10, 7, 3, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2575", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 5, -5, -4],\n [7, 8, -9, -6, 8],\n [5, 9, 5, -8, 2],\n [5, 10, 1, -5, 4]]\nB =\n[[5, 0, 7, -7, -10],\n [0, -9, -5, -3, -1],\n [9, -6, 9, 0, -4],\n [5, 3, -9, 7, 3],\n [-5, 10, -7, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, 3, -4],\n [-5, -2, -4, -7],\n [10, 3, -10, -3],\n [3, -1, -7, -1]]\nB =\n[[3, -6, -6, -4, 10, -7],\n [-1, 9, -10, -7, -7, 5],\n [-5, 8, -9, -3, -4, -7],\n [1, -8, 2, 2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 2, 7, 1, 3, -3],\n [-4, 7, 10, 2, 10, -10],\n [10, 5, 5, -10, -6, -5],\n [6, -6, 0, -4, 9, -6],\n [-6, -4, 0, 7, -8, -4],\n [-3, 4, 8, 8, 7, -6]]\nB =\n[[5, 9, -7, 0],\n [4, 10, -10, -2],\n [2, -1, 4, -4],\n [3, 7, -6, 7],\n [-10, -7, 6, -3],\n [-8, -2, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1303", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 3, -1, -3, 5],\n [-4, 3, 10, 0, 0, -9],\n [4, -1, -4, 7, 0, -4],\n [-9, 4, 7, -6, -3, 0],\n [-8, -8, -5, -3, 1, -2]]\nB =\n[[-6, 8, -1, 10, 1],\n [-2, 5, -4, 5, -4],\n [10, 0, -1, 10, 1],\n [-5, 9, 9, 8, -5],\n [-2, -2, 9, -8, -6],\n [-9, 5, 1, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -3, 2, -4, 9],\n [2, 1, 8, 8, -8],\n [-3, 3, 5, -3, -5],\n [-5, 5, -6, -3, 1],\n [-8, -5, 6, -1, 3]]\nB =\n[[-5, -2, -1, 9, 9],\n [4, -10, 2, -9, 7],\n [8, 3, 0, 1, -6],\n [-7, -6, -2, 0, -3],\n [0, -6, -6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, -6, -4, 3, -10],\n [-9, -6, -4, 5, -4],\n [-6, 7, 7, -1, -4],\n [-5, 7, 6, 3, -4],\n [-1, -6, 3, -8, 7]]\nB =\n[[-6, 6, 5, 1],\n [3, -1, 10, 9],\n [-1, -2, -6, 9],\n [0, -9, -4, 10],\n [-4, -3, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 7, -3, -1, -9, -1],\n [7, 7, -3, 0, -3, -8],\n [1, 7, -4, 7, 8, -4],\n [7, -8, 6, 1, 0, -7],\n [-3, -3, 7, -1, -9, -9],\n [4, -8, 9, 1, -7, -7]]\nB =\n[[9, 8, 1, 1, 1],\n [6, 10, 9, -3, -1],\n [5, -5, 3, -10, 7],\n [-10, -3, 1, 2, -9],\n [-5, -3, -10, -2, 4],\n [6, 6, 1, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -7, -1, -4, -7],\n [-10, 8, -4, 10, 8],\n [-6, 9, -1, 8, -1],\n [7, 3, -8, -8, -5],\n [-2, 1, 8, -8, -10],\n [1, -9, 7, 3, 10]]\nB =\n[[-10, -3, -3, 7, -5],\n [4, -9, -5, 2, 5],\n [6, 6, -1, -5, -5],\n [-1, 0, 6, -9, 2],\n [-7, -9, 1, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-9, -8, 8, -6, -9],\n [-9, -7, -9, -2, -9],\n [-6, 5, 4, 5, 4],\n [-7, 8, 8, -10, 9]]\nB =\n[[7, 7, -7, 4, 2, 9],\n [5, -4, 8, 5, -6, -1],\n [8, -3, -4, 4, 1, 1],\n [-10, -4, 1, -7, -8, -6],\n [8, 5, 9, -9, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -4, -10, -3],\n [5, 2, 4, 3],\n [-1, -10, -4, 9],\n [10, -1, 10, -2],\n [5, 10, 1, 2],\n [-6, -2, -7, 3]]\nB =\n[[-7, -4, -1, -8, 9],\n [7, -3, -4, -2, -9],\n [-9, 9, 4, -8, 4],\n [7, 5, -7, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1760", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 9, 10, 2],\n [7, 0, 9, 6],\n [9, 10, 1, 5],\n [10, 5, -1, 9],\n [-1, 8, -9, -1]]\nB =\n[[-8, -2, -10, -7, 3],\n [3, -10, 10, -8, 3],\n [4, -2, 8, -2, 1],\n [-7, 4, -6, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1042", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 7, -9, -10, 6, -5],\n [-9, 4, 6, -1, 4, -6],\n [8, 4, 1, 6, 4, 10],\n [-3, -3, 5, 9, 7, 2]]\nB =\n[[1, 3, -2, 1, 8],\n [-4, 10, 2, -9, -6],\n [7, 1, 8, 2, 4],\n [-6, 5, 4, -1, -4],\n [5, -7, -5, -4, -1],\n [-4, 10, -3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 4, 9, 0, -3, 4],\n [-4, 10, -2, 9, 8, -5],\n [-4, 7, 4, -5, 6, -3],\n [8, -3, 4, 1, -2, -8],\n [-3, -3, 2, 9, 7, -10],\n [2, 7, -4, 7, -8, 9]]\nB =\n[[-8, 2, -2, 9, 8],\n [1, -7, -3, -4, 2],\n [-1, 0, 9, -9, -9],\n [8, -5, -1, 10, -2],\n [4, 1, -7, -8, 5],\n [1, -8, -4, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2152", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 3, 10, -8, 8, 6],\n [-8, -4, -9, -1, 6, 2],\n [-4, -3, -3, 9, -8, -2],\n [5, 3, 3, -6, 6, -7],\n [10, -5, 10, -1, -4, 6]]\nB =\n[[7, -2, 10, -7, 2, -3],\n [-1, -7, 3, -3, -6, -8],\n [9, -9, -8, 5, 10, 6],\n [0, -6, 3, 1, 0, 6],\n [5, 7, 0, -2, 0, -2],\n [-10, -3, 3, 2, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 3, 6, -9, 7, 7],\n [9, 8, 9, -10, 2, -1],\n [-1, -5, -10, -10, 10, 1],\n [4, -6, -2, 1, 0, 9]]\nB =\n[[2, -7, 3, 0, -1],\n [-9, -10, -10, -10, 10],\n [10, 8, -8, 4, 4],\n [1, -1, 6, 2, -6],\n [-4, 3, -9, -5, 8],\n [-8, 0, 10, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1757", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -3, -2, 3],\n [6, -7, 10, -5],\n [-10, -2, -7, 1],\n [-10, -8, -4, -8],\n [-3, 1, -10, 7]]\nB =\n[[-2, 6, 10, -5, 3, -3],\n [-5, 5, 7, 0, 0, -5],\n [-7, -2, -4, -6, -9, 5],\n [8, -8, 8, 4, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -2, -6, 9, -6],\n [0, 5, 1, 6, -7],\n [5, 6, -1, -7, -1],\n [1, 4, -7, -10, 5],\n [0, -10, -2, 6, -2],\n [9, -3, -8, -4, -3]]\nB =\n[[8, -8, -5, -8],\n [8, -5, -5, -6],\n [-6, 2, -4, -9],\n [-1, -7, 8, -2],\n [8, -1, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -2, 8, -10, -3, 6],\n [5, 6, -10, 8, -5, -6],\n [1, -3, -8, 4, -4, 8],\n [0, 4, -4, -2, -3, -7],\n [1, 3, -7, 6, -3, 1],\n [-6, -3, 5, -7, 7, -10]]\nB =\n[[8, -2, -8, 8, 9],\n [-10, -4, 3, 7, -6],\n [6, -3, 3, 8, -7],\n [9, 2, 0, 1, 5],\n [1, 7, 10, -9, -6],\n [8, -7, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -5, -9, -6, -7],\n [-8, 10, 1, -4, -4, -2],\n [3, -3, -6, 4, 1, -1],\n [3, -2, -5, -5, -1, -10],\n [-1, -5, 7, 9, -1, 2],\n [4, -5, 8, -5, 8, 2]]\nB =\n[[-8, 1, 7, 6, -3],\n [-7, 2, -7, -4, -5],\n [-3, 10, -6, 3, -10],\n [-5, 8, 1, -1, 2],\n [9, 9, 1, 5, -6],\n [7, -8, 4, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1725", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, 0, -8],\n [-6, -1, -7, -9],\n [3, -4, 3, 7],\n [6, 2, 7, 10],\n [10, 6, 3, -1],\n [2, 5, 7, 8]]\nB =\n[[-3, -6, 1, -10, 1],\n [-3, 4, -6, 4, 5],\n [-9, 8, 3, -10, -1],\n [1, 6, -9, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2048", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[5, 3, -7, -2, -7],\n [-9, -6, 8, -8, 10],\n [5, 6, -2, 8, -10],\n [9, -9, -7, -10, -2],\n [-3, -8, -8, 10, 9],\n [-1, -8, -3, 0, 4]]\nB =\n[[10, 0, 7, -7],\n [2, 7, 8, 0],\n [7, 6, -7, 0],\n [3, -6, 3, 10],\n [6, -8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 8, -10, 10],\n [-1, 7, -10, 4],\n [3, -3, 5, 5],\n [-1, -9, -5, 2]]\nB =\n[[-7, -1, -6, 8, 6],\n [-10, 3, -9, 3, 8],\n [-8, -4, -9, -8, -2],\n [-4, 9, 10, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "815", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, 4, -5, -10],\n [-10, -3, -4, -1, -3],\n [-9, -6, 6, -8, 8],\n [-8, -9, -2, -10, -3],\n [9, -2, 6, 4, 3],\n [5, 4, -2, 0, -10]]\nB =\n[[-6, -9, -9, 3, 8],\n [4, -1, 8, -8, -10],\n [-10, 4, 2, 0, 3],\n [-1, -6, -8, -3, 4],\n [-10, -3, -10, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[6, 2, -8, -6, 7, 5],\n [0, -7, -8, 2, -10, 8],\n [-10, -2, 1, -5, -7, 10],\n [9, 6, 9, -6, -9, -2],\n [-4, 0, 5, -6, -4, 10]]\nB =\n[[-7, -3, -6, -5, 2, 2],\n [5, -6, 7, -7, 3, 5],\n [-9, -2, -7, -2, 2, 9],\n [-4, 2, 5, -4, 2, -6],\n [8, 7, 10, -2, -7, 4],\n [-4, 9, 9, -6, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -5, -4, 8, -10, 1],\n [0, 3, 8, -7, 10, 2],\n [-1, 4, 6, 9, 2, -3],\n [5, -8, 3, -7, -3, 0]]\nB =\n[[-6, 3, 7, 5, 6, -5],\n [-7, 7, -1, 1, -7, 2],\n [5, 7, 6, 9, 7, 8],\n [-1, 4, 4, 2, -6, 6],\n [9, -4, -9, -3, -7, 8],\n [-4, 9, -6, 3, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, 7, 10, 9],\n [8, 6, 6, 5, 6],\n [-9, 8, -8, -6, 4],\n [-1, 8, 5, 0, -4]]\nB =\n[[1, 10, 2, -6],\n [-8, 1, 6, -4],\n [-3, 10, -5, -7],\n [4, 5, 9, 0],\n [-3, 6, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, -10, 10, 4],\n [9, 6, 0, 6, 10],\n [-5, -5, -9, -6, 7],\n [-1, -7, -2, 1, -7],\n [-1, 5, -2, 2, 1],\n [6, 5, -1, 3, 0]]\nB =\n[[-10, -10, 5, -3, 6, 1],\n [-3, -10, 10, 3, 0, 10],\n [3, -7, 6, -5, 4, 9],\n [1, 0, 7, 4, 5, -10],\n [-9, 4, 3, -4, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2587", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-9, 9, -9, 2],\n [2, -5, 8, 0],\n [2, -9, -10, -2],\n [9, 0, 6, 1],\n [3, -9, 5, 10],\n [2, 4, 6, 6]]\nB =\n[[2, 10, 2, 8, 9],\n [-2, -10, 7, 10, -4],\n [-6, 5, 10, 5, -1],\n [7, -1, 9, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 7, 5, 1, -7],\n [-5, 2, -10, -10, -8],\n [-5, -5, 9, 10, 2],\n [0, -4, -8, 0, -3]]\nB =\n[[8, 4, 1, 10, -3],\n [0, -2, -3, -8, 6],\n [0, 9, 2, 9, 2],\n [-10, -9, -8, 10, -5],\n [-4, -5, 5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1338", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[7, 3, 3, 6, 8, 6],\n [6, 5, -1, -1, 7, 8],\n [-3, 0, -10, 8, -8, -7],\n [9, -2, 8, -4, -7, 8],\n [-2, 6, -5, 6, -5, 2],\n [-2, -5, -3, 2, 1, -8]]\nB =\n[[-2, 4, 7, 5],\n [4, -1, -9, -7],\n [8, 9, 5, 9],\n [-5, 5, -1, -7],\n [-10, -7, -5, 0],\n [0, 4, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 5, -4, -8, -9, -10],\n [6, 2, -9, -7, 8, 7],\n [-5, 7, -9, 4, 3, 3],\n [2, 9, -8, 10, 3, -5],\n [10, -9, 7, -2, 5, 0],\n [-4, 10, 8, 6, 3, 9]]\nB =\n[[-2, -5, 5, -5, 0, 7],\n [3, 1, -2, -2, 9, 1],\n [-2, -3, 2, 1, -5, -5],\n [-3, -4, 4, 1, -9, 5],\n [4, 4, 6, -8, -8, -6],\n [5, 8, 2, 8, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 7, 2, -1],\n [3, -3, -8, -10, -7],\n [-7, 0, 4, 7, 5],\n [-5, -3, 4, -4, -1]]\nB =\n[[1, 9, -7, -6, 2, -2],\n [-5, -1, 3, -1, -6, 0],\n [8, -9, 8, -8, 10, 8],\n [-8, 6, 1, 10, 7, -4],\n [-10, -5, 5, 10, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, -2, -4, 3],\n [8, -3, -1, -8, -4],\n [-4, 6, -3, 5, 6],\n [10, 5, 7, -2, 7]]\nB =\n[[1, 10, 4, -10],\n [-6, -8, 3, -10],\n [-8, -2, -1, 2],\n [-5, -1, 6, 8],\n [4, 4, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 6, -3, 9, 1, 8],\n [-10, 9, -5, 0, 4, 10],\n [-3, 5, 8, -6, 6, 10],\n [5, -7, 2, -6, 0, -8],\n [3, -6, 5, -4, 4, 1],\n [10, -6, -6, -1, 6, -4]]\nB =\n[[-10, 8, 6, -9],\n [-1, -7, 5, -7],\n [-3, -9, 2, -6],\n [-3, 1, -8, -7],\n [10, -6, 10, -4],\n [10, 3, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[6, -1, -2, -4, 5],\n [-5, -1, -7, 7, -2],\n [-2, -6, 2, 2, 4],\n [8, 0, 2, 7, 10],\n [6, -6, 9, 1, -8],\n [3, -10, -2, 4, 3]]\nB =\n[[1, -6, 1, 7, 9, -7],\n [4, 9, -10, 4, 0, -1],\n [3, 10, -6, -4, 4, -1],\n [-10, -6, 3, -3, -10, 6],\n [10, 8, 4, -10, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-7, -10, -6, -10, 8],\n [3, 0, -3, -9, 5],\n [-8, 0, 6, -8, -4],\n [5, 4, 0, 3, -1],\n [-9, 2, -9, 4, -2]]\nB =\n[[-9, -2, 4, 3, 10, -3],\n [-5, 0, -8, 4, -8, 6],\n [9, -5, 3, -3, 0, -9],\n [-7, -4, -8, 2, 10, 10],\n [10, -6, 1, 10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 6, -1, -5, 7],\n [3, 3, 5, 8, -4],\n [-6, 5, 0, -6, -6],\n [5, -7, -5, 2, 7],\n [7, 5, 10, -8, 3]]\nB =\n[[5, -8, 4, -2],\n [-5, 10, -3, 2],\n [-8, 2, 1, 3],\n [7, -7, -9, 2],\n [10, -4, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1326", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -7, 3, 10, 0],\n [10, -7, 1, -3, 3],\n [-3, 4, 9, 5, -7],\n [6, 2, -4, -3, 1]]\nB =\n[[-2, -10, -7, 0],\n [-10, -5, -5, -6],\n [-5, -10, -3, -5],\n [-5, -9, 8, 9],\n [0, 8, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-3, 9, -6, -8],\n [-1, -4, 10, -8],\n [-7, -5, -1, -4],\n [-6, -10, 0, 8],\n [3, 8, -8, 10],\n [-10, -10, 10, 7]]\nB =\n[[9, 1, -4, 1, -5],\n [2, 4, 3, 2, 7],\n [9, -4, 9, 7, 7],\n [-9, 2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -9, 2, 4],\n [-7, 3, -1, -4],\n [10, 6, 4, 2],\n [-2, 4, -2, -6],\n [-7, -10, -9, -5],\n [3, -2, -10, 10]]\nB =\n[[-4, 8, 1, 0, 6],\n [3, -2, 6, -2, -1],\n [10, -1, -4, -5, -10],\n [6, 7, -3, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -1, -9, -1, -10, 0],\n [-10, 1, -6, 9, 9, -4],\n [10, -3, 2, -5, -9, 3],\n [-1, -2, -7, 8, 6, 10],\n [9, 5, 1, -6, -10, 0]]\nB =\n[[-4, 8, 7, -7],\n [6, 6, -4, -2],\n [-2, 10, 1, 7],\n [-7, 6, 8, -7],\n [6, 2, 1, 7],\n [6, -8, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-597", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 7, 6, 4, -7],\n [-9, 8, 8, 4, 10],\n [3, -3, -2, -10, 9],\n [-9, 0, 2, 0, -2],\n [7, 5, 6, 8, -7],\n [7, -10, 3, 6, -7]]\nB =\n[[-3, -2, 10, -10, 10],\n [-7, 4, -8, -1, -1],\n [-10, 2, 7, -10, 10],\n [-9, 9, 7, 6, -10],\n [2, -9, -7, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[4, -4, 2, -7, 1],\n [-10, 2, 2, -2, -10],\n [-1, 10, 3, -7, -1],\n [7, -10, -2, 3, -3],\n [7, -2, 1, -1, 10],\n [10, 1, -6, 0, 6]]\nB =\n[[9, 9, -4, -6],\n [-9, 0, 4, -1],\n [8, -8, -4, 6],\n [0, -3, 1, -2],\n [6, -8, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -7, -5, 1, -10],\n [10, -5, 2, -3, 1],\n [7, 10, -5, -4, 2],\n [10, 0, -3, 8, -5],\n [4, 2, 7, 6, -1]]\nB =\n[[10, 7, 9, -5, 2, 2],\n [-6, -10, 0, 7, -1, 6],\n [-3, -5, 2, 10, -6, -10],\n [-7, 8, 6, 5, 6, 0],\n [-7, 8, -5, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2081", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[10, 1, 9, -1, 2],\n [-10, 1, -9, -4, 2],\n [-6, -8, 1, 7, -7],\n [4, 1, -3, -6, 1],\n [-2, -1, 9, 3, 10]]\nB =\n[[-6, -7, 5, 1, 2],\n [-4, 2, 2, -1, -9],\n [-8, -2, -9, -1, 5],\n [-4, -2, 9, -6, 7],\n [10, 8, 4, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, 5, 10],\n [3, -6, -8, -7],\n [2, 3, -5, 0],\n [4, -3, 8, 0],\n [3, -3, -2, -3]]\nB =\n[[4, 1, 10, -6, 4, 3],\n [5, -8, 2, 3, 9, 7],\n [-1, 7, 9, -7, 6, -5],\n [1, 4, 8, 6, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[4, -8, 2, 3, 7, 1],\n [1, 7, 4, 4, 5, -7],\n [3, -1, 0, 8, -8, -8],\n [7, -3, -5, 3, 3, 10]]\nB =\n[[-9, 6, 8, -9, -7],\n [6, -9, -10, 0, 9],\n [-10, -10, -7, 2, 4],\n [9, -9, -10, 5, -4],\n [-4, -4, -6, 2, -4],\n [-6, 8, -8, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[7, 1, 8, 6, 9, -9],\n [-5, 1, -3, 9, -1, 7],\n [5, -5, -8, 7, 10, 9],\n [-5, 6, -6, 10, -5, -2],\n [9, -10, 4, 6, 8, -10],\n [-6, -3, 3, 6, -1, -3]]\nB =\n[[7, 4, -1, -2, 8, -8],\n [2, -7, -5, -3, -10, 5],\n [2, 7, 7, 1, 1, -2],\n [-8, 2, 0, 1, 6, 8],\n [-8, -10, -4, -10, 6, -5],\n [0, -3, 2, 8, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 2, 3, 4],\n [-6, 7, 3, -5, -8],\n [-10, 7, 4, 4, 0],\n [-6, 4, -6, 4, -6],\n [-6, 3, -9, 5, -1],\n [-3, 5, 9, -6, -8]]\nB =\n[[-4, -9, 6, -1, 1],\n [-4, 8, 5, 7, 10],\n [8, 1, 3, 5, -9],\n [-9, 5, -8, 4, -7],\n [-6, -10, 10, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "927", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[0, 0, 8, -4, 6],\n [-2, 8, 4, -10, 3],\n [-5, 9, 3, 5, 9],\n [6, -5, -1, 2, 2],\n [10, -8, -8, 2, -1],\n [-9, 9, -2, 7, 3]]\nB =\n[[10, 1, -10, -5, 10],\n [1, 4, -8, -5, -5],\n [1, -1, -3, -4, 4],\n [1, 8, -10, 9, 2],\n [-5, 9, -10, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-8, 8, -9, -7, -5, 10],\n [-5, -8, 10, -5, -3, 9],\n [-7, 4, -7, -4, -7, 6],\n [6, -7, -7, 6, 9, 4],\n [-5, -10, 7, -9, 6, 6],\n [3, -9, -5, 0, 1, 5]]\nB =\n[[7, -6, 6, 4],\n [-6, -10, -5, 8],\n [2, 7, 9, 6],\n [7, 2, -6, -5],\n [7, -10, -10, -1],\n [7, 5, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 4, 9, 8],\n [1, -9, 9, 6],\n [7, 0, 7, 9],\n [-5, -8, 10, 2],\n [-3, -1, 10, -1],\n [-10, -8, 0, -5]]\nB =\n[[-2, -7, 2, -8, 9, -2],\n [7, 1, 5, 2, 9, -3],\n [-7, 1, -6, -8, 2, -2],\n [-10, 1, -5, 10, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2289", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -3, 9, 1],\n [7, 3, -1, 0],\n [-7, 3, 4, -9],\n [8, 7, -2, 9]]\nB =\n[[6, -8, -8, 4],\n [8, 1, 7, 8],\n [-4, 7, -7, 8],\n [6, 5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, 3, 10, -4, 9],\n [1, 2, -1, -3, 9, -7],\n [-7, -2, -10, 5, 3, 6],\n [-10, 8, -9, -5, -5, -3],\n [3, -8, 3, -2, 9, -4]]\nB =\n[[7, -9, -5, 1, -2, -4],\n [-4, 4, 7, -5, -7, 8],\n [-4, -3, 2, -7, -6, 0],\n [-6, -2, -8, 9, 10, -10],\n [-8, -8, 3, -1, 3, 5],\n [9, -7, -7, 8, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 1, 3],\n [6, 8, 6, 8],\n [-4, 9, -1, 4],\n [-1, 8, 1, 6]]\nB =\n[[-3, -3, -7, -1, -3],\n [-4, -8, 0, 0, 5],\n [4, 0, -4, -5, 9],\n [-3, -7, -2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -7, 1, 6, -4, -8],\n [8, -6, 7, -7, -10, 1],\n [-5, -5, 8, -10, 9, -6],\n [8, -7, -10, -10, -4, 6],\n [-3, 3, 6, -6, -8, 5],\n [-6, 6, 1, -6, 1, -10]]\nB =\n[[0, 5, 2, -1],\n [1, 3, -5, 4],\n [-5, -1, 6, -10],\n [-5, 6, 1, 9],\n [-10, 7, 0, -7],\n [-8, 10, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 9, 7, -5, 8, 0],\n [3, 2, -7, -2, -5, 8],\n [-5, 4, 1, -7, -5, -7],\n [1, -6, -10, 3, 3, -1]]\nB =\n[[-1, 10, -7, 4, -1, 4],\n [-7, 5, -8, 5, -4, 2],\n [3, -1, 5, -8, 7, -5],\n [-7, -8, 9, -2, 5, -6],\n [7, -1, -9, 6, -8, -10],\n [-4, 3, 7, 1, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 4, 0, -2, 1],\n [-3, -10, -5, -4, 2],\n [-5, -9, 8, -10, 8],\n [-1, 5, 9, 4, -1]]\nB =\n[[8, -1, -8, 6, 9, 7],\n [-8, 5, 6, -5, -5, -10],\n [-1, 1, -9, -8, 2, -2],\n [6, -6, 4, 10, -9, -4],\n [8, -3, 9, 3, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, 6, 10, -6, 2],\n [-5, 4, -8, -8, 6],\n [-5, 3, 10, 8, 1],\n [-2, 8, -5, 10, 10]]\nB =\n[[-6, 2, 9, -7],\n [-3, 1, 5, 9],\n [5, -10, -3, 4],\n [1, 9, -4, 6],\n [1, 0, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[0, 8, 2, 7, -3],\n [1, 0, -6, 9, 3],\n [-1, 2, 3, 5, 7],\n [-9, -8, 9, -2, -8],\n [-7, 2, 10, -2, 10]]\nB =\n[[8, -5, 3, 8, 5, 5],\n [5, 5, 0, -8, -1, 2],\n [5, -10, -1, 9, -1, -2],\n [-10, 5, 9, 6, 6, 0],\n [7, -1, 1, -4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, -6, -1],\n [-6, -9, -1, -10],\n [-6, -8, -2, 8],\n [2, -9, -1, -2]]\nB =\n[[7, 9, 0, -10],\n [-10, -5, 8, 10],\n [-7, 0, -6, 0],\n [6, 3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 5, -7, 7, 10, -3],\n [-2, -10, 9, 0, 5, -7],\n [-4, 5, 6, 5, 1, 2],\n [-10, 4, -8, 7, 1, -10],\n [8, -1, 9, 0, 4, -2],\n [-1, -9, -8, -1, 5, 10]]\nB =\n[[8, 5, 9, 0],\n [7, 5, 6, -7],\n [6, 9, -8, -8],\n [-7, -8, 10, -6],\n [-9, 2, 3, -7],\n [3, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-555", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -3, 3, 1, -6, 0],\n [4, 5, 1, -9, 8, -9],\n [-1, 7, -10, 10, -2, 10],\n [-4, 9, 9, -7, 8, -8],\n [1, -2, 10, 5, -7, 8],\n [-1, 9, -1, -3, -8, 4]]\nB =\n[[4, -3, 1, 7, -8, 2],\n [-3, 6, 1, 4, 9, 7],\n [7, -7, 3, -7, -3, -9],\n [-8, 0, -5, -8, 7, 2],\n [1, -9, -10, -8, -7, 4],\n [5, -6, 8, 0, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -1, -8, 9, -7, 5],\n [9, 10, 0, 1, 8, -10],\n [4, -10, -10, -8, 1, 3],\n [2, -10, 8, -10, -6, -8],\n [-6, 5, 10, -2, -8, 1]]\nB =\n[[1, -8, 1, 5, -8],\n [1, 4, -10, 7, 9],\n [-5, 4, 3, -5, -5],\n [-4, 2, 7, 10, 10],\n [-2, -5, -10, -2, 5],\n [5, 5, 7, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, 3, 8, -8, 3],\n [-1, 10, -1, 9, -7, -8],\n [-7, 10, -8, 8, -10, 8],\n [-1, -3, -3, 10, 8, 1],\n [8, 7, 8, -2, -4, -8],\n [3, 10, 0, 0, -2, 0]]\nB =\n[[-6, -10, 2, -3, 6],\n [5, -10, 2, -1, 1],\n [-3, 4, -2, -2, -3],\n [-9, 0, 2, -6, -2],\n [4, -10, -10, 9, -1],\n [0, 3, 9, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-484", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, 9, -8, 2, 3],\n [-8, -7, 7, -10, 8],\n [10, 1, -3, -1, -1],\n [10, 3, 0, -6, -6],\n [-10, -3, 2, 0, 8]]\nB =\n[[-7, -10, 4, 0, -10],\n [4, -7, -3, 6, -10],\n [-3, 9, 8, -2, 4],\n [10, 3, 0, 0, 2],\n [-9, -10, -7, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, -4, 2, -1, 8],\n [4, 4, 9, 10, 1, 7],\n [1, 0, -6, 3, 5, -2],\n [-2, -4, -4, -7, 2, -7]]\nB =\n[[8, -8, -7, 5, -2],\n [2, 0, -4, -3, -3],\n [6, -4, -8, -8, 0],\n [0, -8, -2, 7, -8],\n [8, 7, -8, -10, 0],\n [-5, -7, 6, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[0, 1, -9, 2, -10, 3],\n [-6, -8, -4, 7, 5, 4],\n [9, -3, 8, -9, 7, -10],\n [0, -9, -7, 0, 1, -5]]\nB =\n[[4, 6, -1, -7, 4, 7],\n [6, -8, -4, 10, 10, -3],\n [-2, -10, -4, -3, -6, 4],\n [-4, 0, 2, 9, 10, -3],\n [-10, 7, 0, 3, 9, -7],\n [-6, 1, -10, -3, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -8, 3, -10],\n [0, -6, 8, -4],\n [-9, -7, 3, -10],\n [0, 5, 5, 8],\n [-10, 9, 7, -7],\n [4, 2, -5, 10]]\nB =\n[[4, 5, 0, -6, -8, -3],\n [9, 4, -6, 7, -1, 1],\n [8, 1, -8, -9, -4, 6],\n [5, -10, 9, -2, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -3, -1, -9],\n [-7, 3, -9, 3],\n [-8, 8, 7, 9],\n [-9, -8, -8, 7],\n [4, 10, 6, 3]]\nB =\n[[1, -9, -9, 4, 0, 3],\n [9, 7, 2, -8, -1, -7],\n [-6, 3, 2, 4, 6, -2],\n [-8, 7, -5, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, -10, 0, 3],\n [-4, 8, -9, -10],\n [2, 7, -2, 7],\n [-9, -8, 1, 5]]\nB =\n[[7, 9, -4, 3],\n [-10, -3, -2, -3],\n [3, -10, 2, 5],\n [-1, -3, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 8, 7, 0, -4],\n [10, -10, 4, -7, 0],\n [5, 5, -3, 2, -7],\n [10, 6, -9, -9, -3]]\nB =\n[[1, 3, 3, 6],\n [-2, 0, 7, 8],\n [1, -2, 3, -9],\n [-4, 3, 1, -10],\n [-3, -9, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 6, -7, -3, -3],\n [6, -5, 10, 0, 4],\n [-2, 2, 10, -10, 7],\n [-6, 3, -7, 1, 0]]\nB =\n[[-2, 8, 5, 6, 9, -4],\n [9, 5, 5, -1, -8, -2],\n [-3, 9, -8, -7, 5, 9],\n [4, -2, 0, -5, 0, 10],\n [2, 10, 3, -10, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-4, -5, -2, 5],\n [-10, -6, -10, 9],\n [-6, 0, 3, 3],\n [-9, -8, -6, -9],\n [9, -4, -1, 6],\n [3, 9, 4, 4]]\nB =\n[[2, 8, 6, 2, -7, 8],\n [-2, -3, 4, -5, -2, -3],\n [-9, -1, 1, -5, -2, 0],\n [9, -4, -10, 1, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -2, -5, 10, 5, -6],\n [9, -5, -9, 9, 6, 7],\n [6, 9, 1, -9, 7, 6],\n [5, -9, -3, -2, 4, -2],\n [-7, 10, -4, 7, 7, 4]]\nB =\n[[4, 4, -4, 6, 4],\n [-1, -2, -4, 4, -8],\n [10, -8, 3, -4, 8],\n [9, -2, 4, 4, 2],\n [2, 1, 10, 2, 9],\n [8, 3, 0, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 1, -2, -6],\n [9, 1, 8, 0],\n [4, 2, 7, -5],\n [9, -9, 0, 6]]\nB =\n[[1, 2, -10, 2, -6, -3],\n [8, -2, -5, -2, -7, -6],\n [1, -2, 7, 9, -3, 10],\n [-1, -7, -3, -3, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -6, -8, -10, -5],\n [10, -9, 7, 10, 10],\n [8, 6, 1, 6, -5],\n [-1, 9, 4, 10, -2],\n [-9, -3, -9, 8, 1]]\nB =\n[[0, 4, 7, -5, 3, 2],\n [-9, -4, -6, 1, 1, 10],\n [-4, -2, 6, 10, -5, 3],\n [8, 2, -7, -7, 9, 4],\n [3, 6, 4, -8, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -10, -9, -8, -4, -3],\n [7, 2, 10, 2, 7, -7],\n [6, 6, 4, -8, 6, -3],\n [-2, -1, 3, -3, 4, 5],\n [-7, 4, -10, 4, 7, -1]]\nB =\n[[-6, -3, 10, 10],\n [6, 9, 7, 0],\n [-6, 6, -1, -1],\n [6, 10, -10, -3],\n [-7, -7, -3, -7],\n [-5, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1558", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 7, 0, 3],\n [-9, 5, -10, -2],\n [7, -6, 2, -7],\n [8, 10, 3, 1],\n [10, -6, 9, 8]]\nB =\n[[8, 10, -9, -3, -1, -7],\n [8, 1, 1, 10, -10, -5],\n [2, -3, -3, 3, -8, 0],\n [-3, 0, 7, -1, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1924", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 6, 6, -9, 5, 1],\n [-10, -10, 5, 7, -4, -9],\n [5, 3, 4, 4, 9, -7],\n [2, 9, 7, 1, 9, 7]]\nB =\n[[10, 7, -1, 4, -9, 3],\n [-6, -8, -2, -6, 4, 1],\n [10, 1, -4, -1, 1, 7],\n [5, -8, 1, -6, -1, 1],\n [0, 7, 5, -3, 3, 0],\n [-8, 9, 2, 1, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, -10, 7, -9, -9, -7],\n [6, -4, -3, -10, 9, -7],\n [3, 1, 10, 9, 3, 0],\n [10, 0, 7, 2, -1, 5],\n [-5, -3, 1, 8, -2, 10]]\nB =\n[[-6, 2, -4, 8],\n [-7, 0, -1, 3],\n [-2, 3, -5, 3],\n [0, -5, 0, -5],\n [6, -8, -3, -4],\n [8, -7, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[8, -1, 9, 2],\n [-8, 1, -8, 0],\n [1, 6, 1, -1],\n [-6, 5, 0, 10],\n [-8, 8, 4, 1],\n [-2, 5, 6, 2]]\nB =\n[[9, -4, 8, 1, 7, 1],\n [9, 9, 3, -2, 4, 5],\n [-9, 7, 3, 7, -6, -3],\n [4, 10, -8, 0, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, 0, -6, 8, -1],\n [10, 8, -1, 1, -6, -4],\n [-5, 4, 10, -3, 1, -4],\n [-8, 2, 9, 4, -3, 0],\n [6, -4, 4, 8, -1, 3],\n [-3, 5, -6, 5, -5, 7]]\nB =\n[[-5, 10, 5, -2, 8],\n [9, 3, -8, 8, -6],\n [1, -8, 0, 5, -5],\n [-1, -1, 4, -10, 2],\n [2, 9, -6, 0, -5],\n [-6, -8, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -5, -8, 9, 1, -1],\n [0, -4, 0, -1, -9, -6],\n [10, 2, -3, 6, 3, -9],\n [-7, 4, 7, -3, 0, -4],\n [3, 3, 7, 4, 0, -8],\n [8, 0, 3, 9, -6, 5]]\nB =\n[[0, 8, -5, 8, -4],\n [5, -4, -3, 0, 8],\n [-7, 7, 6, -2, 4],\n [9, -2, 10, 5, -10],\n [-3, -7, 1, -7, -10],\n [5, -4, -2, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1025", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 5, -2, -1],\n [-9, 9, 10, 0],\n [-2, -3, -10, 6],\n [6, 7, -1, 10]]\nB =\n[[5, 10, 9, 7, -6, 4],\n [-6, -6, -4, 6, 2, -8],\n [-8, -8, 7, 4, 6, 4],\n [-8, -6, 9, -5, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1666", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -2, -8, -3, 4, 9],\n [-6, -3, -4, -8, -3, 0],\n [-9, 3, -8, -8, 4, 7],\n [5, -5, -8, -6, -4, -7],\n [7, -3, -5, 4, 8, -5],\n [7, -1, -3, -1, -5, -4]]\nB =\n[[-8, -9, -2, -3, 7],\n [-3, -3, -10, -7, -7],\n [-7, -9, 2, -1, 10],\n [-9, -8, -4, -2, -1],\n [-3, 2, 2, -9, -7],\n [2, 2, 2, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -7, -8, 6],\n [-3, -7, -4, 2],\n [6, -9, 8, -8],\n [8, -10, 1, -7]]\nB =\n[[-3, -7, 1, -9, -9, 7],\n [0, 7, 10, -1, -7, 7],\n [-4, -9, -1, -9, 10, -5],\n [-8, 10, 9, 9, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 6, -5, -7, 6],\n [7, 6, 9, 9, -10],\n [-6, -3, -6, -4, -8],\n [9, 5, -2, 3, -1],\n [-1, 1, -9, 5, -2]]\nB =\n[[-5, -4, 6, 5, 2, 3],\n [4, -9, 1, -3, 2, 3],\n [10, -8, -7, 6, 6, 7],\n [-8, 4, -8, 1, -5, 8],\n [6, 3, 3, 4, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 2, -6, 9],\n [5, 3, -6, -3],\n [9, 3, -5, -10],\n [-3, -6, -4, -1],\n [-2, -1, -2, -2]]\nB =\n[[-2, -3, 4, 10],\n [-8, 2, -1, -2],\n [2, 6, 1, -6],\n [9, 4, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 7, 0, 7, 10],\n [2, -3, 9, 6, 1],\n [4, 5, 9, -7, 10],\n [-2, 9, 4, -9, 9],\n [-8, -1, -1, 7, 1],\n [-4, 10, 6, 0, -3]]\nB =\n[[10, -3, 5, -1],\n [-7, -2, 6, -1],\n [2, -5, 4, -3],\n [-8, 10, 4, 0],\n [-9, -6, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1755", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 10, 1, -9, 6],\n [-8, 0, -9, -9, -5],\n [-8, 9, 10, -4, -7],\n [1, -5, -8, -4, 6],\n [3, 4, -8, 1, -8],\n [-6, 2, 6, 6, 3]]\nB =\n[[10, 3, 6, -6, 9],\n [-5, 5, -9, 5, -10],\n [-5, -9, 5, -9, -9],\n [-8, 3, -8, -1, 10],\n [1, -7, 8, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2705", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 6, -7, 1, 2, -8],\n [-5, -4, 2, 6, -7, 5],\n [5, -1, -2, -3, -5, -2],\n [-3, 2, -9, -2, 0, -3],\n [7, -9, -10, -8, -9, 10],\n [5, 8, -1, -7, 5, -6]]\nB =\n[[4, -7, 4, 6],\n [-8, 2, -5, -6],\n [-10, -3, -8, 6],\n [-9, 0, 2, 3],\n [-9, -10, 6, 5],\n [-4, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -2, -5, -5, 1, -10],\n [-5, -4, 8, -7, 0, -2],\n [5, -9, 6, -9, -10, 9],\n [1, -8, 5, 9, -2, 8]]\nB =\n[[2, 2, -10, 5, -7, -8],\n [-2, 1, 4, 5, 10, -8],\n [-10, 7, 4, 4, -1, -1],\n [-7, 7, 9, -7, -2, -7],\n [-8, -6, 7, -5, -2, -3],\n [7, -3, 7, -8, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 1, -8, 9],\n [6, -4, 2, 9],\n [-5, -4, 5, 1],\n [-1, 1, 3, 4],\n [9, -2, -7, 4]]\nB =\n[[5, 4, 6, -5],\n [3, 8, -5, 7],\n [-6, -5, -4, -6],\n [-1, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "890", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -4, 2, 9, -3],\n [6, -7, -6, 1, -9, 2],\n [2, -3, 3, 0, -2, -5],\n [9, 4, 2, 2, 4, 5],\n [-7, -7, -6, 1, -9, -4],\n [-5, 0, 7, 8, -7, -7]]\nB =\n[[3, -3, 3, 4, -9, -8],\n [8, -10, -6, -3, 5, -7],\n [-5, 7, 1, -6, -4, -10],\n [-3, 2, -9, -6, 10, 2],\n [5, -3, -2, -3, 6, -10],\n [-4, 8, -5, 2, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 3, -9, -3, 4],\n [-6, 10, 3, 3, 9],\n [-1, 4, 7, 2, -1],\n [4, 8, 2, 9, -3],\n [-5, 3, 7, -6, 4]]\nB =\n[[2, 10, 0, -3],\n [9, 0, -7, 5],\n [-6, 0, -5, -8],\n [-1, 6, -9, -4],\n [-9, 3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 8, -2, -8, 0, -8],\n [3, -3, 0, 0, 0, 6],\n [-2, -10, 4, 8, 4, -3],\n [-2, 8, -2, 6, 5, -9],\n [0, 4, -10, 2, -4, 9]]\nB =\n[[-7, 6, 10, 7, -6, 2],\n [2, -2, 10, -9, -1, -9],\n [-1, -10, -7, 7, -1, -7],\n [2, -8, 9, -6, -7, -10],\n [-8, -3, -3, -4, -4, -9],\n [-4, -2, -7, 2, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 3, 3, -8],\n [-4, -2, 4, -7, -8, 4],\n [2, 8, 10, 6, 10, -6],\n [-7, -7, -7, 10, -6, -5]]\nB =\n[[-9, -6, -1, -1],\n [-8, -5, -10, 0],\n [-2, 6, -10, 10],\n [-7, 5, 1, 2],\n [3, 7, 5, -8],\n [8, 6, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1083", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -6, -2, 2, -3],\n [-8, 8, -3, 8, 2],\n [-7, -2, -3, 4, -7],\n [-6, -4, 8, 1, -7],\n [-2, -3, 1, 4, -9],\n [-3, 8, -4, -3, 5]]\nB =\n[[1, 7, -6, -1, -4],\n [4, 6, 7, 5, 10],\n [-9, 9, 5, 7, -5],\n [-2, -8, 2, 1, -3],\n [-7, -1, -5, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1815", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, -2, -10, -4, -9],\n [-6, -4, 9, 6, 2, -7],\n [8, 8, 9, -5, 9, 5],\n [-10, 6, 6, 2, 3, -7],\n [6, 10, -3, -8, -4, -3],\n [3, 3, 0, 3, -4, 6]]\nB =\n[[9, -7, -1, 8, 4],\n [6, 0, -2, -5, 10],\n [8, -5, 1, 9, -3],\n [-10, 7, 9, -2, 10],\n [10, -9, 10, 6, -6],\n [10, 5, 7, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -2, -2, 8, 8],\n [-9, 6, 0, 8, 4],\n [-7, -9, -4, -2, 7],\n [-9, -4, 5, -10, 1]]\nB =\n[[2, -8, 2, 3, 1],\n [-1, 9, -8, -4, 2],\n [-8, 6, 1, 2, -10],\n [-2, 0, -1, 7, 6],\n [-1, -5, 6, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 10, -6, -2, 10, 1],\n [1, 3, -10, 3, 9, 0],\n [2, 5, -4, 8, 4, -8],\n [6, 2, 7, -5, 7, 3],\n [-5, -8, -9, 4, 4, 8],\n [3, 3, -5, -1, -5, 6]]\nB =\n[[-6, -1, 5, -6, 5],\n [-9, -8, 0, 5, -8],\n [-9, -5, -2, -6, 4],\n [0, 6, -1, -2, 9],\n [0, -3, 4, 2, 0],\n [1, -8, 3, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 4, 4, -9, -1],\n [10, 10, -3, -6, 10],\n [-4, 9, 1, 8, -10],\n [2, 1, -3, 2, 10],\n [1, 2, 3, -5, 4]]\nB =\n[[2, -9, 0, -6, -1],\n [-2, -8, 4, -10, 5],\n [8, -9, -6, 7, -2],\n [-2, -9, -4, 9, -1],\n [7, -4, 2, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -6, -8, 4],\n [9, -8, -8, -1],\n [1, -4, 0, 3],\n [6, 2, 3, -5]]\nB =\n[[9, -9, 4, -2],\n [5, 6, -3, -9],\n [10, 9, -10, -10],\n [-3, 6, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1283", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-10, -9, -4, -3, 10],\n [-5, 1, 10, 7, -7],\n [-1, -6, -9, -10, -7],\n [1, -8, -3, -2, 0]]\nB =\n[[10, -3, 9, -2, 10],\n [2, 7, 10, -6, 10],\n [-2, 10, 7, 9, -9],\n [4, 5, -1, -6, 3],\n [-4, 8, 6, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-1, -1, -2, -4, 3],\n [-8, 4, -8, 6, -10],\n [-7, 0, -7, -1, 4],\n [3, 10, -2, -5, 0]]\nB =\n[[-8, -4, -8, 7],\n [-7, 9, -9, 5],\n [-7, 8, 1, -10],\n [4, 10, -10, 6],\n [-5, -2, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -1, -3, 3, 8],\n [-9, 7, -3, 4, 5, -10],\n [2, -4, -5, -6, 8, -2],\n [-8, 6, -3, -8, 2, -2]]\nB =\n[[-3, 6, 10, 9],\n [9, -5, 10, -9],\n [-1, 0, -4, -5],\n [-2, 8, -4, -2],\n [-8, 2, 5, -4],\n [-1, 6, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 9, -8, 8, 4, 9],\n [-7, -9, -7, -5, -1, 9],\n [2, 2, 2, -9, -9, 9],\n [1, 4, -10, -1, 7, 3],\n [-7, 6, -3, 10, 2, 5]]\nB =\n[[-6, 10, -7, 6, -7],\n [-4, -9, -4, -5, -4],\n [4, -5, 10, 9, 7],\n [4, 1, 6, -5, 3],\n [-10, 10, 3, -7, -3],\n [9, 8, -6, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -6, -6, 4, -4],\n [10, 0, 4, -8, 1],\n [-2, -3, 0, 5, 2],\n [-1, 5, -7, -2, -10],\n [3, 4, -3, -6, -3]]\nB =\n[[4, -2, 3, -9, -8],\n [7, 2, -4, 5, 8],\n [3, -7, -2, -4, 1],\n [3, -6, 9, -1, -7],\n [-4, -2, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, -6, 4, 10, -3],\n [2, -8, -5, 8, 0],\n [10, 3, -4, -5, 8],\n [7, 8, -3, 7, -9],\n [6, 10, -5, 3, 6],\n [10, -7, -4, 1, 6]]\nB =\n[[-6, 0, 0, 3, 4, -2],\n [-6, -8, -4, -3, 0, -9],\n [10, -5, -5, -3, 0, 2],\n [-7, -5, -1, -2, 2, 5],\n [-1, 8, 6, -6, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "301", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[10, -3, 2, 2, 10, -2],\n [7, 7, 8, -5, -1, 9],\n [6, -5, 0, -10, 8, 5],\n [5, 1, 2, 6, 1, -10]]\nB =\n[[7, -9, -9, -6],\n [-2, 9, -8, 0],\n [5, 5, -1, -10],\n [-8, -4, -2, -1],\n [4, -9, 9, 6],\n [1, 1, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -2, -10, -10, -10],\n [-5, 6, -2, -7, 9],\n [1, -8, 0, 7, 0],\n [7, 10, 3, -2, 7]]\nB =\n[[1, -3, -3, -9, -5, -2],\n [1, 10, -8, 6, 3, -2],\n [-9, -7, 2, 9, 5, 6],\n [-2, 7, 1, 9, 5, -2],\n [0, 10, 3, -5, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -5, 0, 1, -5, -4],\n [4, -6, -7, -4, -1, -1],\n [6, -6, -5, -8, -7, 6],\n [-5, -9, -9, -6, 8, 1],\n [7, 1, -9, -8, -8, 6],\n [-8, -7, 6, -4, -2, 9]]\nB =\n[[2, 2, -9, -2],\n [-2, 4, 3, -8],\n [-9, 8, -2, 2],\n [-1, -10, 0, 3],\n [3, 3, -3, -4],\n [8, -1, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -8, 6, -1, 0, 0],\n [6, 7, -4, 1, -7, 2],\n [-6, 1, 9, 5, 0, 3],\n [8, 2, -8, -5, -9, 6],\n [7, 5, -6, -10, 7, -4]]\nB =\n[[-10, -8, 5, -4, 0],\n [6, 0, 3, 4, -4],\n [7, -9, -1, -4, -7],\n [-3, 7, -4, -1, -3],\n [-3, 2, 0, 4, -10],\n [1, 9, -5, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1409", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 1, 3, -4, 8],\n [-10, 8, 0, -5, -4],\n [0, 10, -4, -5, 0],\n [10, -5, -2, 6, 0],\n [6, 6, 7, -5, 7],\n [-4, -9, -9, -10, -5]]\nB =\n[[2, 1, 7, 2],\n [-3, 6, -8, 7],\n [7, -7, 5, 8],\n [-5, 1, -4, 9],\n [-10, -7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 8, 2, 5, 0, 0],\n [8, 7, 1, 2, 7, -6],\n [-4, 10, 8, 2, -8, 4],\n [-3, 5, -4, -2, -8, 7],\n [1, 8, 6, -2, 9, 0]]\nB =\n[[7, 5, 8, -7],\n [-3, -1, 5, -7],\n [0, 2, -1, 10],\n [3, -4, -7, 6],\n [3, 1, 8, -4],\n [-2, -1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -8, 6, 4],\n [7, 3, 8, -3, -9],\n [-6, -1, 6, 2, 4],\n [7, -2, 6, 3, -5],\n [-2, -3, 8, -9, -10],\n [-2, 0, -7, -5, 8]]\nB =\n[[6, -9, 1, -9],\n [-10, 6, 5, 2],\n [-7, -9, 0, -4],\n [2, -7, 10, 8],\n [-10, -5, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-349", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -5, -4, 2, 7, 1],\n [-9, 10, 6, -1, -7, -10],\n [7, -5, -6, 2, 7, 2],\n [-4, -4, -3, 8, 1, 9],\n [-6, -3, -2, 5, 10, -1],\n [8, 7, -1, 0, 5, 2]]\nB =\n[[10, -6, -2, 10, -6, 7],\n [-10, 0, -1, 0, -10, -7],\n [8, 7, 2, 2, 3, -3],\n [1, -3, 6, 7, -6, -10],\n [9, 2, -3, 2, -10, 5],\n [-3, -6, 9, -1, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-7, 7, -4, -3, 10],\n [-3, 5, 1, -3, 3],\n [-6, 9, 10, -8, -4],\n [-6, -3, 3, -1, 2],\n [1, -7, -2, -5, 5],\n [-5, 9, 0, -7, 4]]\nB =\n[[9, 3, -1, 7, -9],\n [3, -9, -4, 1, 1],\n [-8, -1, -7, 4, -6],\n [2, 9, 7, 7, -9],\n [-3, 9, -7, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-5, -1, 4, -9],\n [-1, -6, 2, -2],\n [-10, 2, -1, -1],\n [1, -6, 7, -2]]\nB =\n[[9, -3, -8, 9, -5, 6],\n [6, 8, 6, 6, 5, 5],\n [-1, -4, -5, 3, 1, 5],\n [10, -5, -8, -1, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -9, 7, -3, -1, 2],\n [7, 3, -8, 3, 4, 4],\n [-5, 8, 3, -5, -10, -9],\n [1, -3, 5, -4, 5, 9],\n [-7, -10, 6, 2, 0, 10],\n [3, -9, -7, -8, -5, -1]]\nB =\n[[-9, -2, -4, -4, -9, 0],\n [6, -6, 1, -5, 6, -10],\n [-1, 5, -8, 7, -6, 8],\n [4, 6, -8, 0, -10, 1],\n [0, 1, -4, -9, -10, 0],\n [-7, 10, 1, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-5, 0, 9, -7],\n [-9, 0, 1, -3],\n [2, 6, -2, -1],\n [5, -7, 1, 10],\n [-10, 9, -5, 9]]\nB =\n[[7, 7, -6, 7, 10],\n [2, -2, 6, -5, -3],\n [10, -4, 1, -6, 4],\n [1, 1, -9, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, -5, -9, -9],\n [-4, 1, -5, -8, 8],\n [8, -7, -7, 4, 5],\n [4, -9, -1, 10, -2],\n [-7, 6, -7, 9, -4]]\nB =\n[[-9, 8, 2, -3],\n [4, 10, -9, 6],\n [6, 3, -3, 1],\n [9, -9, 7, -3],\n [3, 4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1652", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -8, -7, 2, 7, 10],\n [-5, -5, 0, 9, -5, 10],\n [-5, 2, 6, -6, -3, 9],\n [9, 7, -6, -3, 4, -8],\n [7, 3, 7, 6, 1, 9]]\nB =\n[[-4, 10, -1, 2, 7],\n [10, 3, -2, 4, -2],\n [-9, -9, 7, -9, -2],\n [-7, 5, 0, -9, -9],\n [-9, 6, 0, 10, 10],\n [5, -7, -4, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1843", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 10, -4, 5, 1, 10],\n [-9, -4, 8, 6, -2, -4],\n [-3, 9, 2, 8, -9, 7],\n [-10, 2, 5, -4, -4, 6],\n [4, -10, 8, -4, 10, -9],\n [-8, -5, 6, -10, 7, 7]]\nB =\n[[-8, -3, 7, 4],\n [-6, 7, 0, 3],\n [-8, -8, 8, -2],\n [2, -7, 0, 10],\n [-6, -5, 7, 9],\n [1, -3, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 5, 2, -9],\n [-3, 7, 0, 1, -1],\n [-8, 5, 4, -10, 5],\n [2, 0, 0, 5, 6],\n [-1, -4, -9, -6, 2]]\nB =\n[[1, -4, -7, -10, 3, -7],\n [-10, 1, 10, -2, 1, 1],\n [-10, 2, -9, 0, 0, 10],\n [5, 0, -10, 3, -9, -10],\n [-5, 10, 5, -7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1829", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 6, -2, -1, 10, 8],\n [-2, 5, 4, -7, -1, 5],\n [0, -9, 0, -1, 1, 8],\n [-6, -7, -6, -9, 7, -6]]\nB =\n[[7, 2, -6, 3, -9, -7],\n [-5, -2, 7, 2, 9, 7],\n [7, -5, 5, 10, -4, 5],\n [-9, -7, -3, -10, 3, 5],\n [2, -6, -2, 4, 3, 3],\n [5, 1, 8, -7, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 7, 9, -10, -9, 9],\n [1, -9, 4, 4, -4, 10],\n [8, 3, 6, 5, -7, -1],\n [-9, 0, 8, 10, 5, 0]]\nB =\n[[-10, -9, -3, 2, -6],\n [3, -2, 10, 7, -4],\n [-4, 8, -1, -7, -9],\n [10, 6, 0, -9, 7],\n [-3, -2, 7, 7, -7],\n [6, 7, 8, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 3, -9, 2, -1, -4],\n [3, -7, 0, -1, 5, -6],\n [-2, 7, 0, 0, 8, 2],\n [-10, 1, -9, -1, -4, 6],\n [5, -8, -4, 0, 4, 6]]\nB =\n[[2, -6, -8, 9, 10],\n [-3, 10, -2, -7, -1],\n [7, -6, -6, 6, -9],\n [8, 7, 3, 2, -5],\n [3, -2, 0, -9, -1],\n [-8, 3, -2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, 9, 6, 2],\n [5, -2, 5, 10, 9],\n [-10, 2, -7, 5, 0],\n [-3, 2, 9, 2, -5]]\nB =\n[[7, 7, -1, -10, 7, 4],\n [-3, 5, 0, -5, -9, 9],\n [1, -4, 10, 5, 10, 0],\n [10, -3, -4, -10, -3, -3],\n [4, 10, -6, -3, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, -7, 6, 3, 8],\n [-1, 8, 10, -4, 2, -6],\n [9, 8, 6, 0, 7, -9],\n [4, 2, 9, 8, 3, -7]]\nB =\n[[3, 4, -5, 4, -1, 8],\n [7, 7, -5, -7, -8, 5],\n [-4, 10, -8, -4, -7, -6],\n [-6, 8, 6, 4, 8, -4],\n [9, -4, 3, 2, -3, -3],\n [-1, -4, -6, 0, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, -8, -4, 9, 10],\n [0, -8, 9, -5, -10, 1],\n [-10, -5, -6, 0, 10, -3],\n [-8, 3, -1, -2, -3, -1],\n [-7, -2, 6, 9, -9, 8]]\nB =\n[[-5, 0, 10, -10],\n [5, 10, 6, -5],\n [7, -6, -4, 9],\n [-9, -1, 8, -9],\n [8, 6, 9, 5],\n [-9, 10, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -8, -3, 8, -3, 6],\n [8, 2, 5, 4, -5, -10],\n [-1, 6, 8, -1, 1, 1],\n [-10, -8, -1, 10, 8, -6],\n [2, 6, 2, 6, 10, -9],\n [-2, 9, 6, -7, 6, -5]]\nB =\n[[-3, -9, -1, 7, 1, -5],\n [2, 3, 3, 3, 9, -10],\n [5, 9, -3, 9, -7, -2],\n [-4, 2, 6, 5, 10, -6],\n [3, 1, 5, -8, 8, 1],\n [-7, -4, -5, 0, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[2, 3, 6, 4],\n [-4, -5, 4, -4],\n [-10, -6, 7, -4],\n [-4, 9, -1, 3],\n [-7, 8, -9, 0]]\nB =\n[[1, 7, 0, -10],\n [9, 0, -10, 9],\n [-1, 4, -5, -2],\n [-2, -2, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, -1, 0],\n [-7, 6, 5, 4],\n [-7, 1, 4, -10],\n [-8, -6, -2, -3]]\nB =\n[[-6, -3, 10, -5, 10],\n [-4, -9, -3, 7, -1],\n [-7, 4, 2, -9, -4],\n [10, -10, 6, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-417", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, 9, 6, 10],\n [9, 7, -2, 10, -4],\n [9, 9, -9, -10, 3],\n [-3, 1, 4, 6, -1],\n [-2, 6, -8, 10, 7],\n [-2, 2, -8, 10, 0]]\nB =\n[[9, -6, 8, -4],\n [5, 2, 7, 9],\n [-1, 1, 3, 5],\n [-8, -5, -4, 4],\n [-5, 9, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[-7, -7, -5, 7, -2, -6],\n [3, -4, 5, 9, 9, 7],\n [1, 1, -10, -1, -10, 1],\n [4, -4, -3, 0, 10, -1],\n [-1, 4, -5, -9, 7, 4],\n [-7, -4, 6, 9, 0, -9]]\nB =\n[[0, 6, 0, 1, 4],\n [7, 2, 9, 10, -6],\n [-10, -5, 4, -7, -8],\n [-6, 7, -4, -6, 7],\n [-6, -9, 0, 9, -10],\n [-9, 3, 6, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -5, 0, 10, -6, -10],\n [6, -3, 10, 7, 5, 3],\n [-3, -6, -2, 3, -5, -9],\n [7, 8, 2, -1, -4, 5],\n [8, -8, 5, -10, 5, 6]]\nB =\n[[-1, -7, 1, -3, 4, 0],\n [-8, -1, 2, 2, 5, -2],\n [2, 10, 9, 8, 4, -10],\n [7, 0, -1, 9, -7, 3],\n [-9, -6, 1, -6, -5, 10],\n [6, -10, 7, 10, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1837", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -4, 3, -4],\n [-4, 5, -7, 2],\n [-8, 0, 5, 9],\n [0, -2, 6, -7],\n [2, 5, -9, -8],\n [-1, -6, -3, 5]]\nB =\n[[-5, 1, 7, -5, 5, -10],\n [-5, -7, 1, -3, -10, -2],\n [-7, 2, 6, -3, 0, 1],\n [-2, 4, -5, 8, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -8, 9, -7, -4, -4],\n [-9, 6, 4, 10, -5, -2],\n [-3, 10, 7, -3, -1, -7],\n [3, -9, 4, -6, 8, -5],\n [9, 0, 1, -2, 0, 0],\n [10, -4, 7, 7, -1, 5]]\nB =\n[[1, 0, -10, 6],\n [-1, 10, -8, 7],\n [-2, 8, -3, -1],\n [-10, -8, -9, -7],\n [1, 7, 3, -7],\n [9, -6, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -3, -3, 10],\n [2, -10, -5, -1],\n [5, 0, 2, 0],\n [-3, -2, -1, -1]]\nB =\n[[4, -7, 2, -2],\n [0, -7, -10, -1],\n [9, 2, 9, 0],\n [8, -8, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-7, 8, 6, -5],\n [1, 1, -3, 10],\n [-10, -2, -7, 3],\n [0, -3, 1, -9],\n [-5, 4, 4, -10],\n [-7, 0, -9, 7]]\nB =\n[[6, 0, -5, -8],\n [-8, 8, -1, 4],\n [-4, -6, 5, 1],\n [-8, -5, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 8, -9, 8],\n [4, -8, -6, -3],\n [3, -1, -1, 2],\n [-3, 9, 10, -2],\n [3, 5, 7, -2]]\nB =\n[[-4, -2, 10, 3, -6, 6],\n [-5, 1, 3, -8, 4, -9],\n [8, 9, -9, 3, 9, 8],\n [2, 9, 8, 5, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -4, -10, 2],\n [-7, 6, -8, -4],\n [6, -4, -10, -5],\n [-7, -1, 8, 5],\n [-3, -3, 6, 4]]\nB =\n[[-8, 6, -5, -8, 3],\n [6, 6, 4, 1, 0],\n [-8, -1, 5, 6, -8],\n [-8, 10, -10, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, -2, -1],\n [9, -6, 7, 10],\n [-8, -7, 0, -4],\n [-8, 9, 3, 4],\n [-1, -8, 2, 10]]\nB =\n[[10, 3, -2, -1],\n [-10, -3, 7, 2],\n [-1, 10, 1, -10],\n [-10, 1, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1062", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 1, -8, -5],\n [-9, -10, 4, 10],\n [-2, -10, -9, 9],\n [10, 4, -3, 0],\n [1, -2, -4, 9]]\nB =\n[[9, -10, -7, 10, 9],\n [2, -7, -6, 10, 8],\n [9, 9, -3, 6, 1],\n [2, -2, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-561", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -3, -1, 7, 9],\n [1, 9, 1, -3, 4],\n [1, 9, -8, 9, 3],\n [3, 7, 1, 6, 4],\n [-8, -10, -8, 0, -9]]\nB =\n[[-7, -7, 1, -7],\n [-9, -4, 4, 5],\n [8, -2, -7, -3],\n [0, -1, -10, 2],\n [7, -7, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 3, 8, 1, 6, -9],\n [1, 5, -5, 5, 5, -2],\n [3, -5, 6, -5, -3, 8],\n [-2, -2, -2, 3, 2, -7]]\nB =\n[[-7, -2, 9, 9, -1, 7],\n [-3, 3, -7, -5, 8, 8],\n [-7, 7, 9, 4, -5, -5],\n [3, -5, -10, 4, 5, -9],\n [1, -10, 9, -9, -10, 6],\n [-6, 2, -10, -9, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 3, 5, -10, 7, 0],\n [7, -1, -10, 0, -9, 3],\n [-3, 4, 2, -10, 9, -9],\n [7, -6, 4, 5, -10, 10],\n [1, -2, 2, 3, 0, -2]]\nB =\n[[-8, -4, 4, -6, -10],\n [-1, -6, 3, -6, 3],\n [0, 4, -9, 4, 0],\n [-9, 5, -5, 6, 8],\n [-3, 7, -1, 7, 9],\n [-5, 3, 2, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-6, 0, 4, -9],\n [0, -9, 3, 4],\n [-6, 5, -5, 4],\n [-9, -6, 3, -1],\n [-8, -4, 9, -4],\n [-2, -6, 4, 1]]\nB =\n[[-6, -6, -6, 3, -9, -7],\n [-8, 8, 7, -5, 1, -4],\n [-4, -2, 1, 3, -5, 10],\n [5, 9, -6, 1, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-2, 0, -1, 10, -4],\n [1, -1, -2, -2, -7],\n [-1, 4, 4, -3, -8],\n [9, -3, -6, 10, -6]]\nB =\n[[0, 3, 1, 9, 0],\n [-10, -4, -1, -4, 0],\n [-10, -6, -2, 9, -7],\n [-2, -7, 1, 2, 0],\n [-6, -9, -7, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 10, -3, 10],\n [-2, 9, 7, 6],\n [-9, -8, 2, 6],\n [10, 10, 3, -8]]\nB =\n[[9, 9, -7, 4, 0, -2],\n [-7, -2, -3, 8, 10, 8],\n [5, 3, -8, 8, -7, 1],\n [3, 1, 0, 6, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 6, 5, 8, 7],\n [-2, -9, 7, 10, 9],\n [-4, 7, -8, -4, -3],\n [7, 4, 0, 8, 6]]\nB =\n[[6, 10, -6, -7, 4, -2],\n [-1, 9, 7, 6, -3, 2],\n [-3, -7, -7, -5, -2, 3],\n [6, -2, 7, 2, -2, 1],\n [8, -2, -5, -7, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1611", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 10, 6, 10, -8, 5],\n [-3, 2, -5, 4, -3, -3],\n [6, 4, -1, -5, -8, 0],\n [1, -5, 0, 8, -5, -5],\n [-2, 6, 9, 8, 10, 1],\n [-2, -5, 2, 9, -8, -5]]\nB =\n[[-1, -7, 6, 8, -3, -10],\n [0, -6, 9, 6, 3, -1],\n [10, 7, -10, 10, 4, -8],\n [-9, 4, -9, -8, -7, 8],\n [4, 10, -7, 0, -8, 8],\n [-4, -2, -9, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 8, -10, -8],\n [5, 7, -5, -2],\n [5, 7, -1, -7],\n [-6, -6, -7, -5],\n [-8, -6, 9, 2],\n [1, 2, 4, -2]]\nB =\n[[-10, -7, -9, 2, -2, 7],\n [1, 9, 5, -4, 10, 3],\n [9, 3, 6, -7, -1, 1],\n [-5, -3, 6, 8, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -8, 6, -7, -2],\n [-7, 0, 5, 7, 4],\n [7, 3, -5, 6, -9],\n [10, -2, 1, 8, 2],\n [3, 6, 10, 7, -6]]\nB =\n[[7, 5, -6, 10, -3, 10],\n [2, 8, -7, -5, -1, -6],\n [2, 3, -3, 8, -4, -9],\n [8, -5, -2, 1, 5, 10],\n [9, -8, 6, -6, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2312", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -1, -3, 3],\n [-9, 3, 1, -4],\n [-1, -10, 2, -5],\n [-5, 3, 5, 1],\n [10, -3, 2, -4]]\nB =\n[[1, -1, 2, 4, 9],\n [-8, -6, 9, 3, -8],\n [10, -1, 9, 4, -1],\n [-3, 8, -4, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 5, -4, -8, -2, -6],\n [-10, -4, -8, 0, 1, 2],\n [1, -5, 1, 8, 4, -4],\n [-9, -3, 3, 0, -7, -9]]\nB =\n[[10, -7, 10, -8],\n [8, 5, -1, -1],\n [10, -9, -4, 5],\n [-1, -1, -2, 1],\n [3, 9, 8, -6],\n [-5, 7, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[9, 6, 10, 8, -6],\n [1, 1, -1, 0, -1],\n [-8, -9, 9, 1, 2],\n [-4, 5, -5, -6, 2],\n [-10, 1, 10, -2, 1]]\nB =\n[[-10, -7, -4, 7],\n [0, 0, 0, 9],\n [2, 7, -3, -1],\n [-4, 5, 5, -8],\n [2, -6, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -2, 9, -10],\n [-6, 3, 6, 6],\n [-8, -1, 2, -8],\n [1, 8, 8, -4],\n [8, 4, 9, 8],\n [7, 9, -5, -1]]\nB =\n[[1, -9, -1, -10, 4, -10],\n [4, 7, 1, -9, 8, 9],\n [-8, 10, 5, 4, -9, 2],\n [7, -5, -6, -3, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, -7, 6, -9, 8],\n [-3, -2, 2, 4, -3, -7],\n [10, -7, 0, 3, -5, -7],\n [4, 0, -6, 10, 3, -9],\n [3, 3, -6, 3, 2, 8],\n [-1, -6, 4, 0, 2, -6]]\nB =\n[[-6, 0, 10, -5],\n [1, -5, 4, 4],\n [5, -5, -2, -7],\n [0, -4, 7, -4],\n [2, 9, 0, -1],\n [-6, 0, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -9, 2, -4],\n [-1, -6, 6, -7],\n [0, 5, 0, -6],\n [5, -7, -10, -7]]\nB =\n[[5, -7, -2, 6],\n [-1, -1, -6, -3],\n [5, 1, -9, 6],\n [2, -2, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[0, 10, -5, 9, -8, -2],\n [7, 6, -3, -8, 5, 5],\n [-5, -3, 10, 2, 5, 10],\n [4, -1, 6, 7, -7, -1],\n [-1, -10, -5, 6, -4, 1],\n [0, 10, 1, -3, -8, 4]]\nB =\n[[-2, -1, 9, -3, -8, 3],\n [10, -10, -4, -3, -4, 10],\n [-9, 8, -4, -1, 3, -6],\n [-6, 3, -6, -9, -2, -7],\n [4, -8, 10, 7, -8, 2],\n [-6, -3, 10, -9, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 7, 2],\n [5, -10, 9, -6],\n [-7, -1, -7, 5],\n [-6, -3, -1, -10]]\nB =\n[[1, -4, 9, 6, 4, -4],\n [9, -4, 0, -3, -8, -8],\n [-5, 3, -1, -2, -3, 2],\n [7, 0, 5, -10, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 5, -9, -4, -4],\n [3, 0, 1, 4, 10],\n [9, 9, -8, -7, -6],\n [-3, -10, -4, -9, -4]]\nB =\n[[2, -9, 10, -8, 0],\n [8, -1, -9, 9, -4],\n [1, -5, -9, -4, 5],\n [-9, -7, -9, 8, 0],\n [8, 4, 2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-8, 2, 7, 10, -5, 3],\n [-10, -5, -4, -10, 0, -2],\n [-2, 1, 4, 0, 5, -7],\n [-8, 6, 8, -8, 7, 4]]\nB =\n[[3, 3, -9, 9],\n [2, -7, 1, -5],\n [1, -9, -5, -2],\n [-4, 7, -10, 5],\n [9, -8, 6, -4],\n [10, -8, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -4, 8, 9, -9],\n [6, 2, 1, -6, 9],\n [1, 6, 7, 8, -10],\n [10, 5, -3, 5, 10],\n [-3, 9, 2, -10, 7]]\nB =\n[[5, -7, -1, 10],\n [0, -2, 7, -4],\n [-4, 5, -9, -5],\n [5, 0, 10, -6],\n [4, 6, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 3, -10, -6, 3, 3],\n [4, 4, 1, 5, -3, -7],\n [-2, 2, 8, 5, -7, -7],\n [4, -4, 2, 1, -5, 6]]\nB =\n[[-9, -10, -6, -1, -2],\n [2, -10, 9, 5, -4],\n [5, 8, 5, 7, 6],\n [1, 10, 9, -6, 4],\n [-5, 10, -10, -8, 3],\n [-9, -4, -9, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "474", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 2, 3, -4],\n [-4, -2, 4, 2],\n [-10, 7, -5, -4],\n [9, -4, 2, 0]]\nB =\n[[3, -10, 1, 6, -5],\n [-8, 8, -9, -4, -8],\n [8, -8, 9, -10, 10],\n [2, -10, 7, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-5, 9, -4, 5, 0],\n [-10, -2, 9, 5, 5],\n [4, 5, 0, -2, -5],\n [2, -3, 4, 9, -7],\n [-1, 10, 5, 7, 8],\n [-5, 3, 5, 7, -3]]\nB =\n[[-3, -6, -4, 2],\n [1, 2, -7, 5],\n [4, 8, 5, -6],\n [-5, -1, -7, 2],\n [-10, -6, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[8, -6, -8, -9, -7],\n [-3, 2, 2, 2, 3],\n [-1, 2, -2, -3, 10],\n [-9, -7, 3, -10, 7],\n [-3, 1, 9, 0, -9]]\nB =\n[[6, -9, -1, 3, 1],\n [-7, 2, -1, 9, -1],\n [-8, -1, -7, -4, 5],\n [-7, 0, 7, 1, -1],\n [-2, 9, -10, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -3, -7, -1],\n [-8, 4, -9, 6],\n [-6, 5, 9, 0],\n [2, -8, 9, -3],\n [7, 0, -8, 10]]\nB =\n[[-5, -9, -3, 10, 1],\n [-4, -5, 7, -9, 5],\n [-8, 6, 0, 1, -7],\n [-7, 8, -2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 3, 3, -10],\n [4, 10, 4, 8],\n [-10, 2, -5, 5],\n [5, 7, 2, 5]]\nB =\n[[-6, 4, -3, -10, 7, 5],\n [9, 7, -1, -6, -1, 0],\n [-5, 4, -9, -3, 2, 3],\n [-3, -1, -2, -8, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, 6, -10, 2, -10],\n [1, 2, 7, 4, -1, -2],\n [-7, -5, 0, 3, -3, 1],\n [-9, -8, -10, 9, -7, -10],\n [-1, 5, 2, -9, 0, 3],\n [-4, -7, -1, -5, -10, -5]]\nB =\n[[-10, -2, 6, -1, 7],\n [7, -8, -9, 2, -6],\n [0, 5, -2, -8, 0],\n [-9, 1, 9, 10, 9],\n [5, -8, 8, -2, -5],\n [6, 7, -2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 10, 1, 1, -9],\n [-5, 3, -7, 1, -1],\n [-6, 0, -7, 7, 3],\n [9, -3, -4, 10, -1]]\nB =\n[[-8, -9, -8, -9, -3, -9],\n [3, -9, -5, 6, -4, -5],\n [-10, -3, -10, -3, 1, -10],\n [-9, 2, -8, -4, -4, -4],\n [-3, 2, 4, 4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[10, 6, 2, -4],\n [4, 8, -7, -9],\n [6, 9, 2, -7],\n [10, 7, -2, 8]]\nB =\n[[8, 0, 2, 0, 3],\n [0, -6, -3, 6, -3],\n [-6, -7, -5, 1, 10],\n [-10, 1, -10, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 8, 5, -6, 10],\n [6, -9, -5, -5, 4],\n [-9, -10, -2, 3, -7],\n [-3, -2, -6, -4, 8],\n [-6, 8, -6, 1, 4],\n [-8, 7, 4, -5, -6]]\nB =\n[[-8, 10, 6, 8],\n [-3, -7, -1, -9],\n [-9, -7, -3, 4],\n [3, -2, 2, -8],\n [1, -1, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1819", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, -4, 1, 0],\n [5, -7, 1, -10, 10],\n [-3, 5, -1, -10, 7],\n [1, -7, -3, 9, 7]]\nB =\n[[-1, -7, -9, 0, -8, 1],\n [-3, -9, 9, 5, -9, -5],\n [7, 1, 0, 3, -6, -3],\n [5, -4, 6, -8, 10, -9],\n [9, -2, 5, -8, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 6, -1, 6],\n [3, -5, -7, 0],\n [3, -7, 2, 6],\n [-3, 9, 4, -6]]\nB =\n[[-9, 4, -5, -7],\n [8, -7, 3, 3],\n [8, 1, 8, 3],\n [2, -2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -4, -9, -9, -10, 0],\n [9, -6, -1, -4, 2, -1],\n [4, 1, -4, 7, 3, -10],\n [-3, -7, -3, -7, -3, 7],\n [-2, 6, -3, -7, 4, -9],\n [10, 2, 9, -1, 10, 5]]\nB =\n[[-5, -3, 3, -6],\n [9, 9, 8, -9],\n [2, -7, -2, 9],\n [-9, 0, 8, 8],\n [-9, -8, 7, -7],\n [1, 8, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-676", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -2, -4],\n [10, -7, 6, 4],\n [-9, -3, 4, -5],\n [-9, 0, -10, -8]]\nB =\n[[1, 7, 0, 10],\n [3, -7, -6, 9],\n [10, 9, 6, -3],\n [3, 5, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 10, -2],\n [5, -9, -3, -4],\n [4, 5, -5, -10],\n [1, 10, 1, 3],\n [10, 8, -4, -6]]\nB =\n[[3, -4, -4, 0, -4, -4],\n [-3, -4, -2, -6, -7, 10],\n [-1, -7, -10, 2, -2, 0],\n [-8, 10, -5, 9, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[3, 4, 7, -4, 10, -9],\n [2, -9, 3, -6, -1, 2],\n [-6, -8, -6, 0, -2, -10],\n [-4, 7, -3, -6, 9, 0],\n [3, 6, -8, 1, -4, 4],\n [10, -6, -3, -3, 2, -8]]\nB =\n[[2, -3, 3, 0, -9],\n [-10, 9, 0, -9, -10],\n [-9, -5, -8, -4, -10],\n [7, -9, 0, -3, 3],\n [3, 3, -9, 4, 1],\n [-9, 4, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, 2, 10, -3, -7],\n [-1, 8, -8, 1, -4, 8],\n [0, -10, 4, 7, 1, -7],\n [4, -8, 10, 10, -2, 10]]\nB =\n[[-5, -8, 6, 1, 2, -2],\n [-7, -3, -4, -2, -5, -6],\n [-6, 1, -3, -7, -4, -2],\n [-9, 9, 4, 6, -6, -2],\n [8, 1, 0, 8, 10, -10],\n [-7, 9, -7, 9, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[8, -7, 0, 1],\n [-1, 1, -7, 9],\n [7, 6, -1, -9],\n [-9, -4, 6, -4],\n [2, 10, 7, -5]]\nB =\n[[5, -6, -2, 5, -4],\n [-4, -9, 3, -3, -9],\n [-3, -9, 4, 3, -10],\n [-5, 7, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 1, 8, -1],\n [-1, 1, 0, -1],\n [10, 6, 0, 1],\n [6, -5, -2, -1]]\nB =\n[[-9, -6, 1, -8, 7],\n [-10, 6, -6, -3, 1],\n [-3, 4, -5, -10, -5],\n [-7, 2, 0, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-454", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -7, 9, -9, -2, -8],\n [-4, 6, -5, -8, 0, -6],\n [-4, 10, 8, -9, 3, 1],\n [1, 5, -10, 6, 5, -1],\n [-4, -5, 5, 6, -2, -1]]\nB =\n[[5, -3, 5, -2],\n [5, -7, -10, 3],\n [0, -4, 1, -5],\n [6, -9, 6, -2],\n [-7, -10, 2, -6],\n [9, 1, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-7, 2, 2, 6],\n [8, -6, 8, -8],\n [0, 5, 1, 6],\n [7, -1, -9, -2],\n [-3, 0, 2, -2]]\nB =\n[[0, 7, -9, 9, -8, -7],\n [-7, 1, 8, -5, -9, 0],\n [-5, -10, 8, -1, 3, 10],\n [-9, 5, -2, 9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[2, 3, 8, -5, -1, 3],\n [7, -6, -1, -9, 6, -8],\n [-10, 5, -8, 6, 6, 5],\n [4, 8, 7, -4, -8, 1]]\nB =\n[[-1, 1, -1, 2, 10],\n [7, 3, 9, 4, 10],\n [10, 10, 2, 10, 5],\n [-8, -7, -2, 4, -1],\n [-9, -6, 8, -5, -8],\n [9, 5, 10, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[9, -8, 4, -4, -1],\n [-8, 5, -3, 1, -2],\n [-1, 6, -7, -4, 3],\n [-10, 0, 2, 5, 8],\n [8, -7, -1, -1, -10]]\nB =\n[[-3, 5, -8, -1, -10, 4],\n [0, 3, -4, -9, 8, -8],\n [2, -10, 2, 6, 2, -3],\n [-6, -9, -5, 0, 4, -7],\n [8, -4, 3, 9, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, 0, -10, 6],\n [8, 0, 9, 5, -1],\n [-5, -1, 6, 5, 2],\n [5, 1, -3, 3, -4],\n [-5, -3, -7, 4, 5]]\nB =\n[[-2, -7, -8, -5],\n [5, 5, 3, -7],\n [-7, -2, 2, 0],\n [4, 10, 7, -6],\n [-2, 4, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, 10, -4],\n [-7, 7, 4, 0],\n [-9, -10, -6, 8],\n [5, -4, 8, 3],\n [8, -7, 5, 6],\n [1, -8, 2, 10]]\nB =\n[[-5, 3, -7, -2, 8, 5],\n [-1, -6, -6, 1, 7, 10],\n [-4, 0, 1, 9, 1, -5],\n [10, 3, 8, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -5, 3, -6, -7, 5],\n [-10, 2, 0, 3, 7, -9],\n [-3, 4, -9, 7, -3, 7],\n [10, 8, 10, -5, 7, -4],\n [6, -9, 0, 2, -4, 0],\n [5, -1, 9, -3, 6, -8]]\nB =\n[[-10, -2, 2, -6, -7],\n [3, 0, -6, -5, 5],\n [-6, 0, 8, -8, -3],\n [-6, -8, 8, -10, -10],\n [6, 4, -8, 3, 4],\n [3, -9, -9, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1910", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, 5, 2, 3],\n [10, 7, 10, -8],\n [9, -1, 3, -9],\n [-10, 4, 1, 9],\n [8, -2, 1, -2],\n [2, 3, 7, 4]]\nB =\n[[5, -8, 6, -8, -1],\n [-8, -5, -1, 4, 2],\n [8, -2, -6, 7, -5],\n [0, -8, -8, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, -4, -4],\n [-5, 4, 0, 1],\n [-1, -9, -9, -10],\n [-10, -9, 7, 8]]\nB =\n[[5, -10, 5, -1],\n [0, -4, -8, -4],\n [-9, -7, 4, -9],\n [7, -9, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "461", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-6, 7, 3, 4, -10],\n [-1, -7, -7, -4, 9],\n [-10, 7, -7, -7, -7],\n [7, 5, -5, -10, 1],\n [5, -7, 8, 5, -5],\n [-4, 6, 8, 6, -2]]\nB =\n[[7, 3, -5, 10],\n [-3, -4, 2, -5],\n [-6, -5, 5, -4],\n [2, 7, -1, -3],\n [8, -1, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -5, 2, -2, -9, 8],\n [-8, 10, 10, -7, 2, -5],\n [-7, -3, 6, 4, 9, -5],\n [-3, 7, 0, 0, -5, 10],\n [-3, -8, 0, 5, 5, 7],\n [-4, 1, 8, -7, 7, -7]]\nB =\n[[10, -5, -6, 0],\n [0, 4, -6, -7],\n [1, -4, -3, 2],\n [5, 8, -8, -4],\n [1, 7, -6, -3],\n [0, 2, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -4, 7, -8, -8, -8],\n [10, -4, 1, 0, 9, 0],\n [2, -6, 3, 4, 1, -9],\n [10, 6, -1, -5, -3, -6],\n [-2, -10, 8, -5, 6, -1],\n [8, -6, -1, 5, 0, 1]]\nB =\n[[7, -5, 9, 2],\n [-6, 6, 5, -6],\n [4, 7, 1, 0],\n [0, 8, 0, -2],\n [4, -8, 6, 3],\n [9, 2, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1684", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 9, -3, -6],\n [-8, 3, 1, -10],\n [2, 5, 9, -10],\n [7, 4, 7, -1],\n [-1, 9, -3, 3]]\nB =\n[[-1, -9, 8, 0, -7],\n [-5, -9, -2, -5, -3],\n [-3, -9, 5, -2, -2],\n [-10, 8, -8, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 8, -1, 3, -2],\n [4, 8, 7, -8, 5],\n [10, -3, -4, -9, -1],\n [8, 0, 9, 7, 2],\n [-1, -7, -4, 6, 7],\n [7, -2, -4, -1, 6]]\nB =\n[[3, -2, -6, -1],\n [10, -3, 3, 2],\n [7, 2, 8, 5],\n [4, 7, 4, 4],\n [-4, -2, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 4, 3, -2],\n [-4, -2, 4, 6],\n [0, -8, 2, 1],\n [4, -2, -6, -1],\n [5, 8, -1, -4]]\nB =\n[[9, 0, -1, -7],\n [-4, -9, -7, 6],\n [-3, 8, -9, -6],\n [-8, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 0, 9, -1],\n [-5, 8, -7, -6],\n [7, -4, 2, -9],\n [-9, 8, -7, -9]]\nB =\n[[-10, 10, 4, 0],\n [-9, 3, 0, -2],\n [-3, 5, -1, -1],\n [0, 7, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, 0, -3, 3],\n [-9, 2, 6, -10, -10],\n [-5, -9, 6, 0, -9],\n [6, 2, -6, 9, 0],\n [-8, -2, -5, 2, -10],\n [7, 2, -3, -10, 6]]\nB =\n[[8, -2, 1, -2, 10, 10],\n [1, 4, 0, -6, 2, -10],\n [3, -9, -3, -5, 4, 0],\n [10, -4, -3, -1, 6, -2],\n [3, 6, 5, 0, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1947", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, 8, 6],\n [6, -1, -10, 5],\n [-5, 2, -2, 5],\n [8, -6, -4, 5],\n [0, 6, 9, 9]]\nB =\n[[3, -10, -2, -2, -4, 9],\n [0, -3, 7, 2, -4, 7],\n [-5, -1, -2, 10, 0, -4],\n [-5, 10, -4, 0, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 9, -9, -7],\n [-6, 3, 3, -7],\n [7, 7, 5, 0],\n [8, 0, -2, -10]]\nB =\n[[-8, 4, -3, -2, -5],\n [0, 1, 7, -9, -8],\n [10, 8, 2, -10, 6],\n [-7, 5, 6, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-587", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, -10, 8, 8],\n [4, -9, 6, -5, 4],\n [0, -4, 2, 3, -4],\n [8, -7, 2, -1, -8],\n [3, 1, -3, 6, -8]]\nB =\n[[6, -7, -9, 2],\n [3, -8, -3, 2],\n [-3, 8, -3, 3],\n [-2, -3, 2, -6],\n [-5, 2, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 10, -7, 8, -3, 6],\n [1, 7, 0, -9, -9, 8],\n [-6, 1, -9, 7, -8, 2],\n [6, 8, -1, -9, -1, 7],\n [-10, -8, 4, -8, 2, -7]]\nB =\n[[-2, 8, -5, -9, 7, 3],\n [4, 8, 5, -3, 3, 4],\n [-6, 1, 0, -10, -8, 3],\n [2, 10, -6, -7, -9, -1],\n [-9, 6, -9, 10, -4, 1],\n [7, -8, -10, -2, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, 10, -5, -3],\n [-5, -7, -8, 6],\n [10, 2, 9, 4],\n [-9, -1, 10, -9]]\nB =\n[[-7, -5, -6, 10],\n [5, 0, 0, 4],\n [8, -9, -7, 7],\n [8, 1, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -5, -5, 0],\n [-4, 9, -9, -4],\n [-8, -7, -7, -8],\n [-6, -5, -5, 6],\n [-4, -8, 2, -8],\n [10, -10, -7, -3]]\nB =\n[[3, -1, 5, 6, -1],\n [6, 0, -6, 8, 10],\n [-2, -4, 1, -7, 2],\n [-10, -1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, 8, 7, 0, -7],\n [7, -10, -2, 8, -10, 9],\n [8, 7, -6, 7, 3, 3],\n [-2, 7, 1, -8, 0, -8],\n [9, -8, 1, 10, -9, 0],\n [-3, -7, -4, 3, -9, 3]]\nB =\n[[-3, 8, 1, 7, 4],\n [-2, 0, 5, -9, -10],\n [-9, 8, 1, 0, -3],\n [-6, 10, 6, 3, -8],\n [3, -4, -3, -3, -10],\n [4, 0, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1015", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 9, 0, -3, -2],\n [-2, -2, -4, 2, 7],\n [1, 5, 1, 10, 2],\n [-8, -2, 3, 6, 0],\n [-8, 2, 5, 1, 10]]\nB =\n[[-9, 5, -8, -7, -9, 8],\n [7, 8, 6, 0, 7, -7],\n [1, -9, -5, 6, 7, 5],\n [10, -4, 1, -3, 0, -7],\n [-3, -10, -9, 9, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, -8, 9, 7, -10],\n [-7, 4, 5, 9, -3, -1],\n [-4, -3, -9, -10, -5, 4],\n [-6, 10, 8, -8, 0, -4],\n [8, 4, 3, 5, -10, -6]]\nB =\n[[3, 10, 10, 5, -7],\n [-2, -3, 6, 3, 8],\n [9, -5, 0, 5, 2],\n [-7, 4, 2, -2, 2],\n [-10, 2, -7, 3, -10],\n [8, 10, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 4, -10, -2],\n [-5, -8, 4, 7],\n [-5, 4, 4, -4],\n [-10, 9, 1, 0]]\nB =\n[[10, -6, 3, -9, -1],\n [-9, -2, -2, -3, -5],\n [-7, -2, 10, -8, 10],\n [-5, -8, 9, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 5, 8, 4, -10, -5],\n [1, 8, -7, 2, -2, -2],\n [-6, 1, 0, 9, 3, -6],\n [10, 8, 3, -2, 1, 10],\n [-1, -1, -6, 10, 6, 9]]\nB =\n[[6, -9, -2, 6, 8, 9],\n [-7, -6, -5, 7, -5, -8],\n [-10, 1, 6, -1, -2, -6],\n [-7, 10, -9, 7, 9, -5],\n [-2, -8, 5, 4, -9, 6],\n [-2, -4, 1, 2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 2, -3, 9, 0],\n [6, 10, -10, -1, 0],\n [6, 7, 0, -1, -5],\n [-9, -6, -1, -9, -6]]\nB =\n[[-6, -1, -8, 9, 7],\n [3, -10, -4, 6, -10],\n [2, 1, -10, 2, 10],\n [-2, 3, 0, -5, -4],\n [-9, 3, 9, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, -4, 1],\n [6, 4, 9, -5],\n [0, 3, -10, 10],\n [0, 7, 4, 0],\n [1, -4, -6, 8],\n [-3, -10, -3, -10]]\nB =\n[[-1, 1, -6, 9],\n [0, 6, 10, 1],\n [7, 5, -7, -3],\n [10, -4, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, -1, -2, -5],\n [-1, 5, 8, 1],\n [7, 1, 1, 8],\n [-2, -9, -8, -6],\n [-1, -1, 10, -9],\n [-9, -3, 5, 10]]\nB =\n[[-8, 1, 7, -2, 0, 0],\n [3, -10, 3, -4, -8, 5],\n [1, 6, -2, 8, -1, 7],\n [-3, -3, -9, -8, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -5, 6],\n [6, 5, -9, -3],\n [9, -5, 8, -6],\n [10, -5, 4, 9]]\nB =\n[[-10, -5, 1, -1, -4],\n [-8, -5, 6, -2, 6],\n [9, -6, -8, 8, 5],\n [10, -1, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-466", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 8, -7, 2, -2, -10],\n [-1, 5, -3, 0, -9, 0],\n [0, 10, -5, -7, 4, 10],\n [-7, 8, 1, -8, 8, 7],\n [-1, -2, 4, 6, -4, 4],\n [-10, 6, -1, 9, 6, 4]]\nB =\n[[2, 10, 9, -9, -4, 3],\n [-10, 2, -7, -5, -5, 7],\n [4, -7, -2, 5, 3, -8],\n [-2, -3, 0, 1, 6, -4],\n [5, 6, -8, -3, 6, 9],\n [-3, -4, -1, -2, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1066", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[5, 2, -5, -1],\n [-5, -10, -2, 9],\n [-2, -6, -7, 1],\n [-5, 7, -5, 8]]\nB =\n[[3, 0, -2, -5, 6],\n [0, -8, -3, -10, 9],\n [-7, 9, 0, -10, 6],\n [0, 10, -6, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-3, 8, -6, 1, 0, -6],\n [7, 1, 5, 6, -7, -1],\n [-10, -3, 3, 3, -3, 2],\n [2, 8, -9, 7, 8, 5]]\nB =\n[[-2, -1, 5, -9, 8, -5],\n [0, -10, 1, 8, -5, -1],\n [6, 6, 10, 7, 4, -2],\n [-9, 9, -8, 8, -1, -5],\n [-3, -9, -7, -1, -9, 0],\n [3, 10, -5, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -4, 8, -5, -8, -10],\n [4, -4, -2, -2, 3, -10],\n [8, 6, 4, -2, -4, -8],\n [0, -9, 1, 10, -2, 3],\n [8, -6, -6, 3, -1, 2],\n [-4, -10, 1, 8, 7, 9]]\nB =\n[[6, 6, 7, 10, -6, -4],\n [5, 6, -10, 0, 5, 5],\n [-7, -1, -8, 1, -7, -8],\n [6, 2, -4, -1, 4, 5],\n [10, -10, -3, 10, -5, -5],\n [4, 5, 5, 0, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, -10, -3, -4, 7, 8],\n [-1, -4, 0, -2, -8, 6],\n [-3, -9, -8, 4, 1, -7],\n [-2, -2, 0, 6, -6, -8]]\nB =\n[[10, 1, 10, -10, -10, 6],\n [7, -4, 9, -3, 9, -7],\n [-9, -7, -10, 8, 10, -10],\n [-7, -8, 9, -7, -3, 5],\n [-6, 5, 6, -2, -8, 5],\n [9, -3, -10, 4, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-5, -4, -6, -10, 5],\n [5, -5, -4, 6, 7],\n [-9, 10, -5, -8, 8],\n [4, 9, -2, -8, -9]]\nB =\n[[2, -6, -2, 1, -10],\n [-1, 4, -10, -8, 1],\n [9, -4, 4, 9, -3],\n [5, 5, 6, -3, -10],\n [-5, 9, 0, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 7, -7, 8, -4, -4],\n [-4, -10, 9, 4, 10, 0],\n [-8, 0, -9, 10, -2, -6],\n [10, 9, -2, -5, -5, -4],\n [-4, 8, 0, 2, 8, 9]]\nB =\n[[2, 3, 3, 9],\n [1, 4, -6, -2],\n [-6, -8, 10, -3],\n [7, 0, 2, -6],\n [-3, -5, -8, -3],\n [7, 4, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1508", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 10, -3, 10, -9],\n [-5, 2, -1, -6, 1],\n [-4, -2, -2, -10, 7],\n [0, -8, -7, 9, 7]]\nB =\n[[2, 1, 10, 4],\n [-7, -8, 7, 7],\n [-5, 5, -2, -9],\n [3, -1, -4, -9],\n [-6, -4, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -10, 1, 6],\n [-6, 9, 2, 0],\n [-9, 2, 2, 10],\n [9, 7, -1, 4],\n [8, -3, -8, 4],\n [9, 8, 10, -1]]\nB =\n[[-6, 1, 2, -6, 10, 5],\n [10, 4, -1, -1, 9, 7],\n [-1, 8, 1, 4, 2, -10],\n [-5, 4, -4, -5, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -4, -10, -9, 9],\n [-10, -9, 4, 2, 8],\n [-1, -4, -6, -8, 8],\n [-10, -10, 4, -5, -6]]\nB =\n[[0, 6, -4, -2],\n [-5, 5, 5, 1],\n [-7, -9, 6, -4],\n [-3, 5, -8, 9],\n [-9, -7, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -9, -6, -1, -8],\n [6, -1, -10, -10, -6],\n [-10, 3, 10, -10, 0],\n [0, -3, -3, -5, -5]]\nB =\n[[-8, -2, 10, -7, 6],\n [-4, -7, 2, 6, 2],\n [7, -3, -10, -2, 8],\n [-5, -6, -6, -2, 5],\n [1, -8, -1, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 3, 8, 7, 4],\n [7, 7, 3, 6, 2],\n [-10, -8, 4, 8, -5],\n [0, 9, 9, -5, 6],\n [5, 2, 9, -1, 2]]\nB =\n[[9, -9, 2, 3],\n [1, 6, -6, 4],\n [2, -9, 0, -1],\n [5, 9, 8, -5],\n [-7, -4, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 1, -7, -5, 5, -10],\n [8, 0, -10, -6, 0, -2],\n [-9, -9, 5, 9, 7, 5],\n [1, 7, 0, 9, -2, -10],\n [10, 9, 8, -2, 4, 10],\n [-9, -7, -8, -1, 9, 9]]\nB =\n[[4, 9, -2, 1, -5],\n [0, -2, -8, -10, 1],\n [0, -3, 0, -2, 9],\n [-6, 7, -8, -6, -7],\n [1, 9, 3, -5, 4],\n [3, -1, 8, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 5, -1, -4],\n [-10, 2, 7, -6],\n [6, 10, -1, 6],\n [-3, -3, -8, 4],\n [0, 4, 10, 2]]\nB =\n[[8, -5, 10, 4, 7, 8],\n [-10, 10, 7, -8, 10, -5],\n [0, -8, 3, -4, 3, -4],\n [4, -1, -10, -9, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 2, 4, 4, 10],\n [8, 4, -9, -7, 4, -9],\n [7, 5, -7, -3, -8, 7],\n [7, 7, 6, 0, -1, -10],\n [-10, 4, -7, 3, -4, -6],\n [0, -6, 2, -7, -4, 9]]\nB =\n[[-4, 10, -6, 9],\n [-1, 0, -6, 5],\n [7, 10, 2, -8],\n [6, 5, 7, -9],\n [0, -10, -1, 5],\n [-6, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 10, -2, 3],\n [3, 6, -5, 1],\n [-8, 6, 1, 8],\n [1, -1, 6, -5],\n [-3, 9, -4, 3]]\nB =\n[[-1, -3, 3, 4],\n [6, 4, -10, 9],\n [-7, -4, -2, -10],\n [0, 6, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, -7, 8, 3],\n [1, -10, 1, -4, 6],\n [6, 6, -8, 0, -5],\n [-10, 5, 5, 1, 4],\n [-1, -1, 6, -5, -6]]\nB =\n[[3, 4, -4, 6, -4, 7],\n [-4, 0, 5, -8, -10, -8],\n [4, -2, 7, 5, -8, 6],\n [4, -5, -5, 3, -1, 9],\n [-6, -1, 9, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, -1, 3, -6],\n [-1, 1, 4, 0, 9],\n [-2, 4, 2, -8, -10],\n [-3, -2, -3, -8, 10],\n [10, 10, -10, -6, 6],\n [10, 6, 0, -4, -10]]\nB =\n[[-6, 1, 0, -5],\n [9, -4, -1, 9],\n [-4, 3, -9, 10],\n [0, -5, 0, -4],\n [-5, -10, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1334", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -7, -4, 3],\n [-6, -6, 2, -10],\n [4, -1, 2, 6],\n [1, 7, -9, -2],\n [7, -6, 10, 5],\n [2, 1, 2, -8]]\nB =\n[[2, -8, 0, -5, 6],\n [9, 4, 0, -7, 8],\n [-8, 0, -1, -1, -6],\n [-2, 9, 10, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -1, -2, -3, 6, 0],\n [-6, -9, -6, -9, -5, -8],\n [6, -8, -8, 7, 1, -10],\n [8, -4, 1, -3, 8, -1],\n [4, 8, 7, 5, 8, 8]]\nB =\n[[-1, 8, 8, 0, 1],\n [10, 0, 5, -7, -8],\n [3, 0, -1, -2, 1],\n [2, 7, 3, 2, 8],\n [7, 0, 9, -3, -9],\n [5, -6, 9, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 9, -7, -1],\n [-5, 8, -5, -5],\n [-3, -6, 0, -10],\n [6, 7, -1, -7]]\nB =\n[[-8, -9, 9, 4, 0, 6],\n [-6, -8, 4, -2, -10, -2],\n [8, -4, -4, 0, 2, 6],\n [8, 10, -8, 4, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 2, -10, -6, -1],\n [-10, 10, 3, 7, 1, -8],\n [-8, -6, -5, 6, -3, 8],\n [-8, -7, -1, 5, 5, 0],\n [-6, -7, 1, -2, 10, -1],\n [-9, 8, 6, -3, 7, 7]]\nB =\n[[-10, 1, -7, -7],\n [-1, -6, -2, -8],\n [5, -6, 2, 6],\n [-10, -4, -4, 9],\n [-1, 1, 0, 3],\n [-1, -6, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1635", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-9, -3, -3, 3, 1],\n [-8, 9, -6, -5, 8],\n [-8, -7, -10, 10, 6],\n [1, 8, -10, -8, 9],\n [8, -2, 1, 7, -4],\n [1, 8, 9, 4, 4]]\nB =\n[[5, 1, -6, 5],\n [4, -7, 2, -1],\n [-5, -1, 6, 5],\n [6, -10, 10, -5],\n [1, 5, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[4, -1, 1, 2],\n [6, -4, 1, 2],\n [-3, 10, 6, -7],\n [2, 7, -6, -2],\n [-2, -7, 5, -4],\n [3, 9, 3, 5]]\nB =\n[[9, 0, 7, -1],\n [4, 10, 7, 6],\n [-5, 0, 5, -5],\n [2, -8, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -10, 5, -2, -5, -9],\n [-6, -1, -6, -7, -2, 10],\n [-7, -10, -5, 6, -2, -4],\n [-7, -2, -10, -9, 0, 9],\n [-4, 4, 3, -10, 9, 4]]\nB =\n[[3, -9, -1, -10, -2, 9],\n [-9, -5, 1, -8, 8, -8],\n [-1, -4, -3, -3, -9, 4],\n [-6, 6, -3, 7, 8, -5],\n [-4, -6, -8, 7, -1, -1],\n [0, 4, -4, -7, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -2, -5, -8, 0, 4],\n [-1, -9, -6, -3, 0, 9],\n [6, -9, -8, -7, -2, 8],\n [8, -7, -4, -6, -2, 3],\n [-1, 10, -5, -7, 10, 10]]\nB =\n[[-2, 4, -7, -1, -9, 5],\n [4, 8, 7, 3, 7, 3],\n [1, 0, -6, 4, -4, 5],\n [1, -1, -3, -5, -1, 7],\n [6, -10, -5, 4, 7, -2],\n [-4, -7, 4, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-550", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 10, 2, -6],\n [-3, -4, 3, 2],\n [2, 1, -4, -10],\n [5, 2, 9, 8],\n [-7, 4, 8, -7],\n [-4, -2, 10, 0]]\nB =\n[[-2, 9, -9, -10, 4, -6],\n [5, -10, -9, 3, -1, 3],\n [8, -9, 1, -2, 4, -4],\n [-9, 6, 5, -3, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, 8, -2, -7, -7],\n [0, -8, 10, -7, 8],\n [5, -8, 3, -5, -8],\n [0, 10, 4, 0, 4],\n [5, -6, -10, 6, 5],\n [-9, 8, -3, 0, -9]]\nB =\n[[-10, -8, 10, -7, -9],\n [4, -5, -2, 2, 3],\n [-9, 1, 2, -5, -6],\n [-6, 3, -8, 2, 1],\n [-2, 9, 3, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 9, -5, 3, -4, 7],\n [-9, 10, -7, -10, -8, 6],\n [-9, 10, -5, -8, -3, -1],\n [3, 2, 3, -8, 4, -5]]\nB =\n[[5, -5, -4, -3, 9, 5],\n [-2, -3, 3, 1, -9, -3],\n [-1, 8, -9, -4, 0, -8],\n [5, 9, -9, -4, 0, -5],\n [-5, -6, 5, 3, 10, 6],\n [10, -4, -2, 3, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 1, 5, 4, -5, 1],\n [-5, -8, 4, -8, 2, 9],\n [10, -2, -10, 3, 0, -5],\n [2, -1, 5, -5, -7, -8],\n [3, 7, -6, -2, -1, -7],\n [-9, 3, -7, 10, -7, 5]]\nB =\n[[-5, -4, -2, 3],\n [0, -4, -4, -7],\n [8, 5, -2, 6],\n [4, -8, -4, 9],\n [6, 0, 10, 8],\n [-8, 0, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1440", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 1, -6, 1, 5, 1],\n [5, 9, 7, 0, 5, 2],\n [6, 1, -4, 8, 1, -10],\n [10, -7, -1, 10, -2, 1]]\nB =\n[[-8, 10, 1, 7, 0],\n [-4, -8, -2, 2, 10],\n [-2, -7, -7, -2, 6],\n [-10, -7, 0, -9, -8],\n [9, -7, -8, -4, 2],\n [-3, 10, 0, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1356", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[5, -2, -4, -10],\n [-1, 9, 6, 1],\n [9, 9, 9, 1],\n [-4, -10, 10, -8],\n [1, 7, -3, -7],\n [8, -5, -5, 4]]\nB =\n[[-8, -5, 0, 2, 9, -1],\n [6, -3, 8, 2, 3, 1],\n [8, 1, -5, -1, 8, -2],\n [3, -3, -9, -2, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[6, -10, 8, 1, -1],\n [6, 9, 4, 2, 3],\n [6, 3, -10, -10, -9],\n [7, 5, 7, 5, 1]]\nB =\n[[-6, 8, 0, -4, 8, 2],\n [-5, -5, 5, -4, -5, 4],\n [-3, 2, -1, 3, -9, 3],\n [4, 5, 0, 3, -7, 6],\n [7, -7, -9, -3, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -3, 9, 2],\n [5, 9, 10, 1],\n [-10, 10, 1, 3],\n [7, 3, 9, 3],\n [-5, 4, 4, -10],\n [-2, -5, -4, -10]]\nB =\n[[9, -6, -4, 8],\n [2, 9, 6, 2],\n [7, -2, 5, 1],\n [-3, -7, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "855", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 7, 5, -6, -3, -10],\n [6, 7, -2, 8, 4, 6],\n [-7, 5, 5, 9, -9, -10],\n [-10, 10, -5, -7, 0, 8],\n [4, -3, 6, 10, 4, -3],\n [3, -2, 2, -9, 2, -7]]\nB =\n[[8, 2, 7, -4],\n [8, 10, 9, 4],\n [0, -7, -9, -9],\n [-7, 1, 0, 7],\n [-3, 2, 6, 3],\n [-5, -3, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "731", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -9, -9, -1, -10, -7],\n [-6, -3, 10, 10, 6, 2],\n [10, 6, -7, 0, 9, -10],\n [3, -4, 1, -9, 4, 0]]\nB =\n[[-1, -10, 7, 8],\n [9, 0, -5, -4],\n [3, 8, 1, -7],\n [7, -4, -1, 3],\n [1, 0, 7, -10],\n [-9, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 9, -5, -5, -7],\n [-3, -2, -5, 1, 9],\n [0, 2, 6, 10, -9],\n [-2, -7, -7, 0, 2]]\nB =\n[[9, 2, 8, 2, -9, -5],\n [-4, -2, -10, -7, 4, -5],\n [10, -2, -2, -9, 1, 5],\n [-6, 8, 1, 9, -8, -3],\n [-2, -3, -4, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-10, -2, 8, 3, 6],\n [3, 5, 2, 6, -7],\n [2, 3, -4, -6, 7],\n [9, -4, 10, -3, 6],\n [-8, 8, -4, 1, -8],\n [9, 0, -10, -5, 3]]\nB =\n[[7, 4, -9, -2],\n [10, -1, -7, 10],\n [-4, 2, 1, 10],\n [-2, -7, -6, 0],\n [-1, -6, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -6, -7, 10],\n [-7, 5, 7, -2],\n [3, 0, 4, 6],\n [-3, -5, -8, -3]]\nB =\n[[-3, -6, -8, 7, -2],\n [-5, -8, -9, -10, -5],\n [3, 10, -4, 8, 1],\n [6, -6, -8, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -9, -5, -3, 5],\n [10, 3, -5, 1, 9],\n [-9, -10, 9, -10, 3],\n [5, -5, -7, 10, 2],\n [0, -9, -10, 1, 5],\n [-8, 6, 0, 1, -2]]\nB =\n[[4, 8, -2, 9, -10, 7],\n [4, -7, -9, 8, 1, -3],\n [-9, 0, 8, 10, -9, 6],\n [-10, 3, 2, -1, 0, 0],\n [1, 10, 7, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[10, 7, -10, -6],\n [-9, 8, -6, 4],\n [4, -4, -3, -3],\n [-7, 5, 0, -9]]\nB =\n[[4, -4, -1, 5, 3, 0],\n [-3, -5, 7, 4, 5, 5],\n [-6, -9, -9, 2, -9, -1],\n [3, -4, 7, -7, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, 0, 7, 5],\n [9, 10, 8, -10, -10],\n [-2, 1, -2, -2, 8],\n [-5, 10, 0, 1, 0]]\nB =\n[[10, 4, 8, -5, -3],\n [5, -6, -9, -1, -5],\n [0, -2, -10, 10, -1],\n [-1, 6, 0, 2, 8],\n [-9, -9, -3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-590", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -5, 7, -4],\n [10, -5, 2, 7],\n [2, 5, 3, -1],\n [2, 10, -8, -8]]\nB =\n[[1, -7, 9, -9, -4, 3],\n [-8, 1, -6, 9, 5, 9],\n [8, -6, -2, 3, -6, -1],\n [-8, -1, 8, 5, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 8, -9],\n [4, 4, 1, 0],\n [2, -10, 7, 2],\n [-1, 8, -6, 2]]\nB =\n[[-8, 1, -10, 9, 10, 1],\n [-2, 2, -9, 7, -9, 0],\n [3, 6, -1, -7, 9, 10],\n [-7, 9, -4, 7, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -8, 8, -9, 4],\n [-7, -4, 1, -4, -1],\n [-10, -8, 7, 2, 5],\n [0, -2, 10, 5, 0]]\nB =\n[[9, -7, -2, 8, 10],\n [-10, -10, 1, 3, 7],\n [2, 8, -5, -10, -8],\n [3, -6, 5, 2, 4],\n [0, -10, 1, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, 6, -1, -9],\n [-4, -8, 6, 5, 5],\n [-2, -2, 7, 4, 8],\n [8, 10, 0, 6, 3],\n [0, -9, 9, -6, -2],\n [1, 0, -6, 10, 4]]\nB =\n[[5, -7, 10, 0, 7],\n [6, 9, 7, 1, -8],\n [-3, 9, -3, -7, 1],\n [0, 1, -6, -6, -3],\n [-9, -8, -7, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-960", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -4, 10, 1],\n [1, 0, 8, -5, -6],\n [5, -9, 1, 8, 2],\n [3, 8, 9, -8, 2],\n [-5, 8, -6, -8, 1],\n [2, -4, 0, -5, 2]]\nB =\n[[-5, -10, 4, -7],\n [-4, -10, 6, -9],\n [2, 6, 9, 9],\n [1, 3, 9, -1],\n [5, 2, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1364", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 2, 1, 0, 0, -8],\n [-9, 6, -1, 2, -1, 6],\n [3, -9, 2, -10, 4, 4],\n [-6, 0, 5, -4, 8, -3]]\nB =\n[[9, -9, 1, -1, 4, 3],\n [6, 4, -2, 8, -7, -7],\n [-2, 5, -4, -10, 7, 9],\n [-10, -1, -8, -5, 6, 0],\n [-10, 2, -6, 9, -10, -2],\n [-1, 7, 8, -10, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1477", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[5, 6, -6, 2],\n [6, 9, 6, 6],\n [-1, 1, 8, 3],\n [-5, -6, 8, 2]]\nB =\n[[-1, 6, -6, 9, -7, 9],\n [0, -9, -2, -7, -3, -4],\n [-5, -2, 8, -3, 8, 6],\n [-7, -8, -9, 6, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -2, -2, -1, 9],\n [-3, -9, -1, -10, -8],\n [-1, -6, 10, -10, 3],\n [-5, -6, 10, 3, -3]]\nB =\n[[-8, 8, 8, 2, -9],\n [3, -2, -3, 1, -3],\n [-2, 6, 2, 8, -9],\n [8, -3, 6, -7, 0],\n [5, -2, -9, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, 7, 7, 2, -2],\n [7, 1, 8, -1, 1, 9],\n [4, 5, -5, 3, -8, 9],\n [5, 6, 4, -3, 4, -7]]\nB =\n[[-3, -2, 3, 9, -6],\n [7, -7, -5, 6, 6],\n [1, -3, 3, 7, 8],\n [10, 6, -6, -9, -8],\n [1, 3, -6, 10, -2],\n [-7, -8, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -10, 0, 10, -8],\n [9, 6, 10, -8, -8],\n [-2, 5, -4, -1, -5],\n [10, 3, 3, -5, 6],\n [-5, 9, -5, 3, -5]]\nB =\n[[-3, 8, 7, 10],\n [-5, 0, -5, -2],\n [-3, -7, -9, -8],\n [6, -6, 3, 8],\n [-1, -6, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 10, 2, 4],\n [3, 0, 5, -1],\n [-8, -6, 3, -2],\n [5, -4, 8, 6],\n [-1, -3, 4, 4],\n [-7, -3, -6, -10]]\nB =\n[[2, 2, 0, 1],\n [-8, 2, -4, 0],\n [1, -3, 8, -9],\n [-5, 3, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 5, -8, -10, 7, -9],\n [-5, -4, -1, -2, 6, 5],\n [3, -1, 9, -6, 4, 0],\n [-9, 1, -4, 8, -6, 0]]\nB =\n[[-4, -5, 10, -2, 10],\n [0, 9, 1, 0, 7],\n [6, 0, -5, 9, 1],\n [-6, 5, 5, 0, 2],\n [-6, 6, 5, 4, -10],\n [1, 8, 4, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "946", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -1, 6, -4, -4, -1],\n [1, 0, 2, -2, 3, 1],\n [2, -10, -7, 3, -1, 0],\n [-3, 10, 9, -2, 10, 9],\n [2, -8, 2, 0, -8, 5],\n [8, 5, 4, -3, -8, 3]]\nB =\n[[-4, 7, 10, 5],\n [8, 3, -10, -1],\n [3, -2, 3, -4],\n [9, -3, -3, -4],\n [-9, 4, 7, 1],\n [9, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 2, -7, -6],\n [8, 5, 8, 0],\n [-2, -9, 1, -3],\n [7, -5, 3, -10]]\nB =\n[[-7, 9, 3, 2, 3, 0],\n [4, -10, -8, 5, 10, 7],\n [2, 0, -5, -8, -1, -3],\n [-2, -4, 6, -1, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -7, -3, 4, -4],\n [5, -6, -4, 1, 2],\n [-4, 10, 10, 9, -2],\n [4, -7, 9, -6, -6],\n [8, -5, -9, 7, 7]]\nB =\n[[-4, -7, -10, -7],\n [0, -1, 1, -8],\n [2, -3, 7, 5],\n [-4, 9, 3, -3],\n [0, -1, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, 2, -5, 5],\n [-3, 7, -7, 2, 4],\n [-8, -10, -10, -5, -3],\n [-4, 0, -6, 9, -7],\n [-1, -8, -6, 4, 4]]\nB =\n[[3, 4, 4, -10],\n [8, 9, -3, -8],\n [7, 1, -6, 1],\n [-2, 8, 1, 4],\n [1, -3, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 10, -10, -4, 2],\n [-8, 0, 3, -4, 0],\n [4, -3, -1, 10, 2],\n [7, 7, 6, -2, 1]]\nB =\n[[9, -8, 7, -3, -6, 10],\n [-10, -4, -4, 7, 3, -6],\n [9, 7, 7, -4, 0, -7],\n [-2, -2, -7, 2, -3, 8],\n [5, 2, 7, -7, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1340", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[7, -2, -6, 9],\n [-10, -9, 10, -2],\n [2, 4, 7, 9],\n [8, -8, -8, -4],\n [2, -9, -7, -9]]\nB =\n[[1, -7, -6, 5],\n [-2, 9, -6, 6],\n [-9, -2, 1, -6],\n [2, 10, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, 8, -9, 5, 8],\n [-9, -3, 3, 2, 4, -7],\n [-5, 6, 3, -9, 7, -9],\n [10, 2, 9, 6, -6, 1],\n [2, 4, -8, -1, 1, 4],\n [8, -4, -7, 6, 9, 3]]\nB =\n[[-5, -9, 5, -7],\n [4, -10, -8, -4],\n [-8, -10, -5, 2],\n [-5, -6, 5, 3],\n [0, 9, -8, -7],\n [-7, 8, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-2, 1, -1, -3, -4],\n [-5, 7, -8, 3, 7],\n [7, -5, 7, 8, 3],\n [8, -10, 4, 6, 1]]\nB =\n[[-2, 2, -8, 5, 2],\n [-7, -2, 10, -3, 10],\n [-3, -7, -4, 4, 1],\n [2, 7, -5, -8, 3],\n [2, 9, 9, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, -3, 9],\n [0, -1, -10, 2],\n [3, -7, -4, -5],\n [-3, -5, 8, 10]]\nB =\n[[-5, -4, -8, 9],\n [6, 8, -10, 8],\n [-9, 7, 0, 5],\n [-6, -10, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-403", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-4, 8, 6, 10],\n [-8, -4, 9, -9],\n [4, 2, 2, 6],\n [5, 2, -8, -4]]\nB =\n[[-10, -5, -2, 7, -8, 7],\n [-2, 4, -6, 9, -10, -8],\n [-8, 3, -10, 9, -1, 6],\n [6, 6, -3, 6, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 6, -9, 8, -2, 6],\n [-6, 7, -3, -10, -9, 5],\n [1, 3, -4, -8, -8, 0],\n [-5, 2, -2, -7, -8, -5],\n [8, -10, -2, -6, -10, -9]]\nB =\n[[-6, 7, -4, -7, 4],\n [8, -8, 0, 3, 2],\n [-4, -6, 9, 3, 5],\n [3, 4, 6, -2, -4],\n [9, 1, 4, 4, -5],\n [-10, 1, 10, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-712", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-7, 7, 0, 2, -10],\n [5, 10, 3, 7, 4],\n [7, 0, -6, -3, -3],\n [10, 1, 1, 6, -3],\n [1, -1, 6, -4, -3]]\nB =\n[[8, 9, 10, -10, 7],\n [-4, 0, 4, -6, -8],\n [8, -3, 1, 1, 2],\n [-8, 2, -7, 2, 8],\n [-2, -8, -1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[5, 2, -7, -8, 9],\n [2, 3, -1, 3, 7],\n [7, 6, -5, -6, 3],\n [4, 4, -10, -5, -7],\n [5, 1, -7, 2, -3]]\nB =\n[[-6, -5, -2, 2, -2],\n [-6, -9, 9, 1, -1],\n [10, -10, -2, -4, -6],\n [-8, -5, -9, 0, -7],\n [3, -8, -10, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, 2, -5, 8],\n [9, 4, 6, -10, -2],\n [-4, -10, -5, 2, 4],\n [-7, -9, 0, 3, 5],\n [-9, 6, -3, -8, 7],\n [-8, 7, 5, 6, 6]]\nB =\n[[-9, 10, -4, 6, -6, -3],\n [-6, 7, 7, 9, 4, -1],\n [-7, 4, -5, -3, 9, -1],\n [5, 6, 7, -6, -10, -4],\n [-1, -10, -3, 1, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 9, 1, -5, -6, -9],\n [3, -10, -8, -9, -8, 8],\n [-5, -3, 9, 4, -9, -2],\n [9, -5, -2, -10, 0, 8],\n [9, 6, 0, 8, -6, 9],\n [6, 4, 6, -10, -10, 7]]\nB =\n[[8, -9, 7, -9, 0],\n [-7, -3, -4, 6, 10],\n [-10, -10, 6, -4, 6],\n [-7, -8, 8, 4, 8],\n [9, 0, 3, -9, 0],\n [-6, 2, -2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-465", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, 2, -10, 2, -3],\n [5, 3, 4, 8, -8],\n [-7, -7, -5, -6, 6],\n [6, -6, -8, -10, 10],\n [0, 9, 7, -4, -3]]\nB =\n[[-8, -10, -7, -2, 1],\n [-8, -2, -5, -10, -7],\n [-6, -4, 5, 0, -3],\n [-2, -6, 7, -8, -10],\n [0, 3, 3, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[3, -10, -8, -1, 8, 5],\n [-1, -1, 4, -8, -5, -9],\n [0, -6, -9, -2, -7, -1],\n [-3, -5, 6, 9, -1, 10],\n [-10, 10, 4, 6, 1, -3]]\nB =\n[[10, 0, 8, -9, -2],\n [-1, 1, -10, 6, 5],\n [-1, 6, 6, -2, 9],\n [6, 0, -1, -7, -7],\n [-2, -10, 9, 8, -8],\n [-5, 1, 1, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 7, 0, 10],\n [2, 3, 0, 10],\n [4, 10, -1, 8],\n [1, 0, 2, 3]]\nB =\n[[-7, -4, -5, 2],\n [9, 9, -1, 7],\n [-3, -2, -7, 9],\n [3, -10, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 9, 5, 1, 5, 9],\n [7, -2, 8, -2, -5, -9],\n [-9, 10, -7, 4, 5, 2],\n [-5, -6, 7, -9, -4, -2]]\nB =\n[[-2, 0, -8, -3],\n [7, 6, -8, 6],\n [3, -9, -5, -8],\n [-3, -1, -3, 2],\n [4, -6, 5, -10],\n [-10, 3, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-6, 1, 8, 10, 4, -1],\n [-10, -3, -1, 9, -2, -7],\n [9, 1, -6, -8, -5, 10],\n [-7, 8, 0, 10, 5, -1],\n [-3, 9, 9, 3, 0, -9]]\nB =\n[[-1, 2, 7, -1, 0, 9],\n [6, -10, 2, 7, -2, 10],\n [10, 0, -4, -5, 4, -5],\n [-10, 2, 5, -8, 9, -5],\n [1, -5, -4, 5, -2, 6],\n [4, -7, -1, -9, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 6, 7, -5, 10, 9],\n [0, 10, 4, -10, 6, 9],\n [6, -9, 9, -10, 1, 10],\n [5, -7, -4, 4, -3, 0],\n [-3, -2, 8, 9, 4, 10],\n [1, -5, -3, 7, -8, 3]]\nB =\n[[-6, -4, -2, -5],\n [-7, 3, -4, 9],\n [-3, -9, -1, -8],\n [-2, -9, 1, 8],\n [-4, 9, 3, 0],\n [-5, 10, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-695", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -8, -8, -7, 3],\n [7, 9, 5, 10, -2],\n [-8, 3, -4, -7, 2],\n [6, -5, 2, 4, 0]]\nB =\n[[4, 5, -10, -1, 7, 5],\n [3, 1, 5, 8, -9, 6],\n [-5, -5, -9, -3, 10, 3],\n [-1, 10, 1, 8, 9, -7],\n [8, -6, 2, -10, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 2, 3, -6],\n [4, -4, -8, 9],\n [-6, 9, -5, 2],\n [10, 1, -10, 8],\n [-3, 5, -8, -7],\n [3, 7, 8, -7]]\nB =\n[[-7, -2, 10, -10],\n [-1, -8, 6, -9],\n [10, 10, -1, 1],\n [-5, 9, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-662", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 10, -4, -7, 10, 5],\n [-6, 1, 10, -10, -7, 0],\n [-1, 4, -8, -2, 8, 7],\n [-5, -2, 2, 2, 2, 10]]\nB =\n[[-5, -8, 5, 8],\n [9, -9, -8, 2],\n [-3, 2, 6, -7],\n [-7, -5, 10, 9],\n [-6, 2, 10, 8],\n [2, 10, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, 6, 5, -5],\n [7, -10, -7, 2, 10],\n [-1, 1, -5, 8, -6],\n [-8, 6, -3, -4, 6]]\nB =\n[[-10, -6, 0, 7, -3, 9],\n [-4, -9, 9, -9, -3, 4],\n [9, 9, 6, 3, 0, -6],\n [9, -4, 9, 3, 0, 5],\n [0, -10, -6, 9, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-7, 9, 10, 7],\n [-10, 7, 3, -4],\n [-5, 5, 5, -4],\n [3, -10, 5, -7]]\nB =\n[[-1, 2, -7, 5, 4, 7],\n [2, -2, -7, -10, -3, 9],\n [5, 8, 9, 10, 5, -5],\n [1, 2, -4, -6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -8, 2, -8],\n [-8, -2, -1, -1],\n [9, -10, 5, -4],\n [-4, 0, 8, 5],\n [0, 4, 5, -1],\n [8, -5, -5, 8]]\nB =\n[[8, -2, -3, -7, -6, -2],\n [0, 2, -10, 3, -8, -10],\n [-4, -9, 9, -9, 6, 10],\n [-2, 8, -4, 10, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-3, 10, -5, -9, -9, 4],\n [-5, 5, 4, 4, 10, -5],\n [-7, 5, 5, 9, 8, 3],\n [-8, 10, -9, 8, -1, -9]]\nB =\n[[-7, -7, -7, -1],\n [5, 9, -4, -9],\n [4, 4, -8, -6],\n [1, -2, -7, -1],\n [-8, 0, 9, -7],\n [3, 4, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -2, -10, -6, 10, -3],\n [-8, -1, 2, -8, 9, 5],\n [-10, 5, 5, 5, 5, -4],\n [6, -5, -10, -5, 6, -10],\n [6, 8, -2, -5, 6, 3],\n [2, 3, 10, 4, 1, 5]]\nB =\n[[7, 3, 10, -9, -8],\n [6, 9, 0, -9, -9],\n [-10, 9, -7, 0, -8],\n [10, 7, -8, 3, 4],\n [1, -1, -2, 8, 4],\n [2, -10, 0, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -4, 0, -3, -10, -4],\n [9, -3, -2, 1, 10, -8],\n [1, -8, 8, -5, -2, 5],\n [8, 1, -5, 5, -6, -7],\n [5, 6, -10, -9, 1, 4]]\nB =\n[[7, -2, 4, -4, -9],\n [-8, 2, 5, 8, -1],\n [10, -7, 6, -9, 8],\n [7, -3, -7, -1, 8],\n [-2, -7, 0, 5, 6],\n [-8, 1, -5, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -10, -7, -4, -9],\n [2, 10, -3, 4, -3],\n [-8, -8, 1, -3, -1],\n [-2, -6, 5, 7, 2]]\nB =\n[[3, -4, 6, -5, 10, -8],\n [5, 0, -1, -5, 1, 7],\n [1, 6, -10, 7, -4, -4],\n [-9, -2, -9, 2, 7, 4],\n [-5, 2, 6, 0, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1403", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[6, -5, -10, 4],\n [-2, 0, -8, -2],\n [1, -2, -1, 0],\n [-1, -6, 2, -1],\n [-4, -10, 4, -6]]\nB =\n[[4, 3, -9, 0, -8],\n [10, 3, 0, -6, -6],\n [8, 8, -3, 7, 2],\n [2, 9, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[5, 1, 0, 10, -1, -2],\n [-2, 5, -10, -2, 8, -10],\n [-3, 8, 9, 1, 0, 2],\n [-1, 7, -4, -10, 7, -9],\n [-6, 9, -3, -4, -2, -10],\n [-9, -7, 10, -8, 3, 8]]\nB =\n[[-4, 1, -9, -7, -1, -5],\n [9, -10, -5, 4, -1, -9],\n [-3, 3, -8, -2, 5, 1],\n [7, -8, 1, -6, 7, 1],\n [3, -5, -2, -5, 4, -8],\n [10, -10, 9, -7, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[4, -9, -6, 9, 2, 0],\n [-10, 6, 7, 7, -8, -10],\n [10, -4, -10, -8, -3, 10],\n [7, 1, -8, -4, 6, 9]]\nB =\n[[6, 4, -3, 8, -8, -8],\n [5, -10, 1, -10, -6, 4],\n [-10, 4, -1, 0, -9, -9],\n [7, 3, 7, 2, -4, -9],\n [8, 9, 0, -3, -3, -5],\n [10, 6, 10, 9, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[1, -9, 0, 4],\n [3, 0, -7, 3],\n [2, 1, -3, -2],\n [8, -5, -1, -2],\n [-5, 10, 4, 0]]\nB =\n[[-1, 4, 0, -4, 4, -10],\n [2, -9, -3, 10, 3, 0],\n [-6, 5, 1, 1, 5, 0],\n [-2, -8, 3, -9, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -9, -4, 8, -9, 9],\n [9, -5, -7, 7, -7, 2],\n [10, 6, 7, 1, 2, -4],\n [-10, 6, 6, 6, -2, -8],\n [-6, 10, -1, 0, -3, 0]]\nB =\n[[7, 6, 8, 7],\n [0, -6, -3, -10],\n [10, 3, 0, 4],\n [-10, -3, -8, 8],\n [-1, -3, 0, 9],\n [-1, -3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1484", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 10, 9, 1, 6, 8],\n [-5, -5, 3, 2, 3, 8],\n [-5, 8, -7, 5, -9, 2],\n [9, -8, -8, -6, -8, 9],\n [8, -7, -5, -9, 7, 9]]\nB =\n[[9, -5, 4, 7, 4],\n [-3, -10, -1, 10, 4],\n [6, 9, -3, -5, 9],\n [2, -7, -6, -2, 9],\n [3, 7, 9, 8, -7],\n [8, -10, 6, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -5, 5],\n [8, 2, -4, -3],\n [-2, -3, 10, -1],\n [-3, -7, 7, 7]]\nB =\n[[-7, -3, 4, 9, 10, 5],\n [-5, -3, 8, 5, -9, 8],\n [-10, 7, -6, 1, 4, -5],\n [-3, -1, 2, 3, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -4, 6, -1, -5, -5],\n [-2, -7, -6, 9, 6, 4],\n [3, -3, -6, 4, 1, -10],\n [-8, 9, -4, 4, 6, 6]]\nB =\n[[-5, -4, -6, 2],\n [1, -2, 10, 10],\n [-4, 4, 3, 10],\n [-7, -2, 0, -3],\n [5, -3, 10, 4],\n [-3, 8, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 6, 5, -8, 2],\n [-3, 4, 7, -2, 0],\n [-5, 8, 0, -2, 4],\n [-8, 10, -3, -1, -7],\n [-2, -4, 8, -9, 9],\n [8, 8, 9, -2, -5]]\nB =\n[[8, -5, 6, -8, 10, 8],\n [8, 3, 2, -10, -7, -2],\n [9, -9, 3, -3, 1, -9],\n [-6, 6, -10, 1, -1, -3],\n [-4, -9, -2, -8, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -1, -4, -5],\n [-5, 6, -2, 7],\n [-10, -8, 10, -4],\n [5, -4, 9, 0],\n [-6, -7, -6, 1]]\nB =\n[[-4, 6, 6, -4, -2, 0],\n [-8, 7, 4, 9, -3, -4],\n [-10, 4, 5, 4, 8, 5],\n [7, 9, 8, 10, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, -9, 5],\n [0, 8, 8, -8],\n [-3, 10, -6, 6],\n [8, 6, 5, -6],\n [8, 8, 4, -1],\n [0, 6, -6, 9]]\nB =\n[[5, 10, -8, -2, -8],\n [0, -8, -5, 7, 0],\n [1, -6, 4, -9, 4],\n [-3, -5, -10, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-7, 9, 6, 9, 2],\n [7, -1, -9, 9, -2],\n [4, -3, 6, -4, -7],\n [-1, -10, -1, -5, -10],\n [-9, -2, -5, -7, 8],\n [4, 5, -1, 4, 8]]\nB =\n[[5, 10, -6, -6, -7],\n [-1, 3, -2, -7, 9],\n [-3, 0, -8, -5, 1],\n [2, -7, 3, -6, -3],\n [-6, -9, 6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 4, 3, -2, -8, -4],\n [7, 6, 4, -4, 2, 8],\n [4, -5, 5, -6, -9, -8],\n [7, 4, -1, 2, -2, -10],\n [1, 0, -7, -10, 0, 8],\n [1, 2, -10, 1, 6, -6]]\nB =\n[[0, 0, -6, 7],\n [5, 2, -6, 8],\n [9, -2, 3, 3],\n [6, -9, -9, -2],\n [6, 1, 4, 1],\n [5, -5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 1, -8, 9],\n [-10, 10, -6, 0],\n [-2, 8, -2, -8],\n [-5, 5, -3, 7],\n [-6, -2, 1, -4],\n [-1, 1, 7, -5]]\nB =\n[[5, 1, -8, 1],\n [3, 5, -10, 5],\n [9, -10, -6, -5],\n [8, 5, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 6, -3, 10, 5, 4],\n [3, 2, 7, -5, 7, -8],\n [8, -7, -4, 10, 5, 4],\n [-10, 3, 4, -9, -8, 5],\n [6, -7, -8, -8, 7, -8]]\nB =\n[[-1, 4, 0, -6, 3],\n [5, -1, 9, -1, -1],\n [5, -8, -2, 10, -6],\n [3, 3, 6, -9, 1],\n [-3, -7, -10, -8, -1],\n [6, 2, -2, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2075", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 3, -8, -3],\n [10, -1, -3, -10, -8],\n [0, -6, 7, -4, 9],\n [9, 0, -8, -5, 8],\n [-6, 5, 6, 0, -10]]\nB =\n[[-6, 8, 10, 7, -1],\n [-10, -10, 7, -3, 9],\n [2, -10, -9, -5, -4],\n [-8, -7, 9, -1, 2],\n [-10, 5, 9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2182", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 3, 3, 7],\n [-8, 4, -7, 9],\n [10, 6, 7, 10],\n [8, 5, -4, -5],\n [1, 8, 2, 7],\n [3, -1, 0, 8]]\nB =\n[[9, 8, 2, -4, -2],\n [1, 0, -2, 2, -3],\n [5, -5, -6, -2, 2],\n [6, -2, -10, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 2, 0, 4, -4],\n [-3, -2, -5, -3, -4],\n [10, -2, 5, 6, -6],\n [-6, -7, 1, -6, -5],\n [-2, -3, -4, 3, 4],\n [9, -8, 4, -3, 6]]\nB =\n[[-6, 4, -9, -7, -3],\n [7, 5, 10, 1, 7],\n [2, -4, 9, -10, -8],\n [1, -3, 5, 3, -9],\n [-4, -6, -10, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-602", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 10, -6, 4],\n [5, -4, 0, 10],\n [-2, 4, 3, 4],\n [-6, -4, -3, 0]]\nB =\n[[2, 3, 7, 4, 0, 0],\n [10, 1, -3, 5, 2, 0],\n [1, -7, -6, -8, -9, 1],\n [-2, -5, -3, -9, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -2, 0, -4, -4],\n [7, 0, -1, -10, 3],\n [8, -2, 10, 3, 3],\n [-7, -4, 7, -8, -3],\n [9, 0, -5, 2, 1]]\nB =\n[[5, 9, 6, 5, -4, 10],\n [-10, 0, 9, -1, -4, -2],\n [3, 2, 10, -1, -9, -3],\n [-2, 10, 5, 8, -7, 4],\n [5, 2, -7, 5, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1919", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -8, 10, -1, -5, -3],\n [-7, -9, -1, -1, 8, -9],\n [6, 9, -8, 3, -1, -3],\n [10, 4, 5, 7, -3, -6],\n [2, -7, -7, 2, 0, -7]]\nB =\n[[-9, -9, 8, -5, -6, 0],\n [6, 8, -4, -2, 2, 1],\n [-5, -8, -8, 2, -10, 1],\n [-4, -10, -8, 3, 5, 4],\n [-9, -2, 2, -8, 9, -8],\n [-6, 0, 1, -1, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-590", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 3, -1, 0, -8],\n [10, -9, 5, 8, 5],\n [0, -4, 8, 5, -10],\n [-5, -1, -5, 10, -10],\n [-2, -9, -2, -4, 6],\n [-8, -7, -6, -3, 4]]\nB =\n[[5, -6, -9, -10, 3],\n [-2, 5, 8, -9, 10],\n [-5, -10, 9, 9, 7],\n [9, 10, -6, 8, -6],\n [-1, 2, 10, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -5, -1, 2, -8, 5],\n [10, -10, -9, -5, 0, 9],\n [10, 3, 3, -4, 3, -10],\n [-7, -8, -6, -10, -9, 9],\n [-6, -2, -2, 4, 2, 10],\n [-7, -4, 3, 6, 4, 8]]\nB =\n[[6, 9, 7, -7, 0, 6],\n [4, 2, -6, -10, 8, -4],\n [10, 8, 0, 2, -6, -10],\n [-4, -3, 3, 4, 0, -5],\n [-1, 0, 9, 3, 9, 7],\n [10, -9, -3, 8, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, -8, 8],\n [-2, -3, 9, 7],\n [5, -7, -5, 4],\n [-10, 9, 6, 8],\n [5, 7, 4, -9],\n [-9, 1, -5, 3]]\nB =\n[[9, 3, -10, 7, -2],\n [0, 5, -10, -3, -7],\n [3, -5, -8, -3, -5],\n [-10, -5, -6, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-824", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 1, -6, 3],\n [2, 2, -1, 2, -9],\n [6, -2, -9, -10, -2],\n [9, 2, 2, -6, -9]]\nB =\n[[-4, 0, -3, -3],\n [-6, 7, 8, -4],\n [-9, 8, -4, 8],\n [6, -3, 10, 1],\n [-3, -3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 3, 5, 4],\n [7, 7, 10, 5],\n [-6, 8, 3, -10],\n [-2, 0, -3, 3],\n [3, 4, -7, -8],\n [1, 3, 9, 10]]\nB =\n[[-8, -9, -10, -4, -4, 6],\n [2, 2, -9, -6, -3, -3],\n [-5, 5, -9, -10, 10, 5],\n [2, 0, -9, 7, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2537", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 3, -8, -10, -10],\n [6, -4, -9, 9, 8],\n [4, -8, -5, 5, 0],\n [3, 0, 4, -2, 2],\n [-2, -1, -7, 0, 2]]\nB =\n[[0, 0, 0, -7, 8, -3],\n [9, -7, -8, 2, -4, 2],\n [-9, 6, 1, -9, -1, -5],\n [0, -3, -10, 0, -8, 9],\n [-6, 10, -7, 0, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -10, 10, -5],\n [8, -10, -3, -7],\n [5, 1, -3, -3],\n [0, 2, -8, 1]]\nB =\n[[-7, 6, -9, 7, 8, 2],\n [-10, 7, 9, -10, 2, 5],\n [7, 4, 9, -5, 5, 7],\n [-6, 6, 4, -4, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -1, 1, 5, 7, 7],\n [3, 5, -4, 9, -10, 3],\n [2, -7, 1, -5, -8, -6],\n [6, -1, 8, -10, 1, 4],\n [10, 5, -10, 6, 2, -10],\n [5, 5, -1, -6, 9, 7]]\nB =\n[[8, -2, -10, 2, -3],\n [-6, -1, 0, -5, 0],\n [7, 6, 8, 7, -5],\n [9, -9, -8, -5, 9],\n [-7, -6, 10, -3, -2],\n [-9, 0, -7, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[4, -3, -7, 9, -1, 8],\n [-9, -6, -8, -3, 3, 8],\n [2, 5, 8, -8, 0, 7],\n [0, 8, -2, -1, 7, -2]]\nB =\n[[5, -4, 8, 2],\n [6, -4, 9, -7],\n [-5, -2, 8, 9],\n [-7, 0, 8, 6],\n [6, 8, -3, -1],\n [-4, 1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, -8, -1, -2],\n [1, 4, -2, 7],\n [-8, 7, 7, -1],\n [-1, 4, 4, 9]]\nB =\n[[8, -10, -10, -1, -2],\n [-10, 8, 1, 9, 9],\n [-1, 2, 10, -3, 1],\n [2, -10, -10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -7, -10, 9, 0],\n [-4, 1, 8, 1, 3],\n [-6, -7, 3, -9, -6],\n [-4, 9, 10, -8, 6],\n [-3, 4, -3, -4, 9]]\nB =\n[[-4, 7, 1, 4],\n [5, -1, -4, 2],\n [-6, 10, -4, 8],\n [10, -1, 4, 2],\n [9, -6, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, 5, -5],\n [-9, 8, 0, 3],\n [-7, 8, -3, -1],\n [2, 4, 5, -9]]\nB =\n[[0, 5, 0, 5],\n [2, -7, -9, -7],\n [2, 10, -4, -2],\n [-2, 5, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 6, -3, -6],\n [-10, -3, 10, 6],\n [-3, -8, -1, -5],\n [1, 10, -10, -10],\n [-1, -2, 7, 4]]\nB =\n[[10, -1, -5, -4, -9, 4],\n [-8, -9, -5, 0, -10, -6],\n [0, 7, -5, -2, 9, 10],\n [10, -4, 6, -9, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2665", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, -3, 10, -3, -1],\n [-5, -5, -4, -7, 10, -2],\n [8, -9, 9, 10, 6, -5],\n [4, -3, 8, -6, -5, -3],\n [-3, 7, 4, 1, -8, -4]]\nB =\n[[0, -9, 7, -3, 4, -6],\n [7, 10, 10, -4, 9, 4],\n [7, 5, -5, -8, -8, 8],\n [10, 5, 2, 7, 2, 4],\n [0, -8, -5, -3, -9, 8],\n [3, 9, 8, 6, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-623", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -8, 10, 6, -2, -6],\n [0, -1, -6, -5, 8, -3],\n [6, 9, 4, 6, -7, -10],\n [2, -4, 2, 10, -7, 6],\n [-8, -1, 10, -1, 1, -10]]\nB =\n[[0, 4, 6, -4],\n [2, 10, -7, -10],\n [2, 6, 10, -4],\n [3, 1, 6, 9],\n [2, -1, 10, -7],\n [-10, 6, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1501", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 3, -2, 2],\n [7, -3, -5, 8],\n [8, 6, 5, 1],\n [-1, 1, -4, 8],\n [-4, -2, -7, 1],\n [-8, 0, 3, -3]]\nB =\n[[2, -6, 8, -9, -4, -8],\n [-5, -10, -2, -7, 5, 5],\n [-4, -5, -10, -1, -6, -4],\n [4, -6, -5, 10, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 8, -8, -5],\n [2, -1, 9, 5],\n [-1, -8, -1, 4],\n [-10, -10, 10, -10]]\nB =\n[[-5, 3, 9, 6, -3, 3],\n [7, 5, -3, -10, 9, -6],\n [9, -7, -6, -9, 7, -8],\n [-4, -7, -6, -1, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, -5, -1, -5],\n [1, -10, -8, 2, 8],\n [-4, 2, 2, -6, 4],\n [-1, 1, 10, -7, -2],\n [1, 2, 6, -6, -5]]\nB =\n[[3, 9, -5, 0],\n [-4, -6, 4, -2],\n [-9, -8, -1, 10],\n [7, 1, -6, -2],\n [4, 9, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-8, -1, 6, -6, -8],\n [9, 10, 2, 0, -3],\n [2, 0, 10, -7, -6],\n [-8, 9, -9, 0, 9],\n [-2, -10, 10, 6, 3]]\nB =\n[[-3, -4, 8, -6, 0],\n [-7, -6, 9, -10, 3],\n [-9, -8, 10, 4, 0],\n [-9, 7, -10, 3, 7],\n [-5, -8, 9, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-4, 9, -10, -3, 1],\n [5, -7, -2, 0, -4],\n [-7, -9, -8, -3, 0],\n [-10, 1, -4, -3, 3],\n [8, 0, -9, -1, -2],\n [5, 6, 2, -4, -2]]\nB =\n[[-10, -1, 10, 10, -6, -7],\n [8, 3, 6, -7, -9, 1],\n [-6, -3, 5, -6, 9, -4],\n [9, 9, -7, 8, 7, -8],\n [9, -5, -9, 1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 8, 3, 0, 0, 7],\n [-10, 10, 0, -3, -1, 1],\n [8, 0, 6, -5, 5, 6],\n [-8, 10, -4, 4, -9, -6]]\nB =\n[[7, -2, 0, -7, 5, 9],\n [4, -9, 10, 6, -8, -6],\n [6, -8, -5, -6, -10, 1],\n [6, -3, -9, -6, -7, 5],\n [-9, -6, -10, -10, -7, -3],\n [5, 3, 9, -5, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, -9, 5, 7],\n [-10, 4, -8, 10, -6],\n [2, 1, -1, 6, 7],\n [-1, -9, 10, -6, 1],\n [10, -7, 4, 1, 7],\n [10, -1, -4, -8, -5]]\nB =\n[[6, 5, -2, -4],\n [-3, -10, 5, 6],\n [7, 4, -9, 1],\n [4, -3, -1, -3],\n [0, 2, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-3, 2, -9, -2],\n [1, -2, 5, -8],\n [4, -1, -1, 5],\n [-8, 9, -1, 7]]\nB =\n[[3, -7, -10, 7, -1],\n [-1, 9, 7, -2, -8],\n [10, 6, -8, -4, -10],\n [6, -8, 7, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -3, 9, -1, 7],\n [1, 8, 5, -9, 1],\n [-2, 3, 8, 5, -8],\n [-9, -10, 10, -6, -2],\n [6, 9, -4, -3, -6]]\nB =\n[[10, -8, 10, 8, 2],\n [10, -10, 1, -3, 8],\n [0, 2, 10, 9, -8],\n [9, 9, 3, 10, 3],\n [-9, -9, -1, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[6, 9, 1, -6, -10],\n [0, 6, -6, -4, 7],\n [8, 5, -5, -2, 7],\n [10, 6, -9, 7, 7],\n [-5, 2, -7, -3, -5],\n [8, -10, -1, 9, -6]]\nB =\n[[1, -3, 0, 9, 2],\n [8, 9, 6, 6, 3],\n [-1, -9, -2, 6, -9],\n [-7, 4, -6, 2, 10],\n [10, 8, -10, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -1, 8, -9],\n [6, 8, 5, -4],\n [9, -3, 10, 8],\n [-2, -6, -2, -2],\n [-9, 2, 6, 3]]\nB =\n[[-2, -8, 6, -2],\n [-9, -6, -9, -10],\n [-6, 2, 8, -4],\n [-1, 8, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -9, 9, -1, -2],\n [3, 8, 10, -9, 5],\n [-1, 7, -4, -8, 0],\n [3, 10, -1, -7, -9]]\nB =\n[[-6, 3, 0, 7, 0],\n [0, -8, 9, -10, 1],\n [-6, -2, 8, 3, 0],\n [3, -9, -1, 4, 8],\n [2, -7, -3, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 0, -3, -9, 2],\n [7, -10, 10, 7, 6],\n [2, -10, -7, 10, -7],\n [-2, -10, -7, 10, -8],\n [10, 3, -8, 6, 6],\n [-2, -8, 0, 5, 10]]\nB =\n[[-4, -8, -2, 5, 10],\n [-7, 2, -8, 10, 3],\n [-3, 8, 6, -6, 3],\n [2, 3, 5, -9, -1],\n [-4, -9, 3, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2325", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 1, 9, -9, -5, -7],\n [-4, 3, 6, -4, -4, -8],\n [0, -7, 4, -5, 1, -2],\n [10, 2, 10, -4, 5, 8]]\nB =\n[[1, -4, 7, -4, -5],\n [8, 3, -8, 2, -4],\n [-2, -8, 2, 3, -5],\n [8, -2, -2, -9, -1],\n [-1, -3, 7, 2, 7],\n [-3, -3, 8, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 5, 6, -2, 5, 9],\n [8, -2, 3, 6, -4, 7],\n [-7, -3, 10, 0, -7, -9],\n [-9, -1, 8, -10, -5, -7],\n [-1, 1, 1, -6, -9, 9],\n [-6, 5, -10, -4, -9, -1]]\nB =\n[[-6, 2, 2, -7, -9],\n [-9, -1, -1, -10, -9],\n [10, -5, 8, 10, -7],\n [-9, 6, 8, -3, -1],\n [-1, -5, -4, 5, -9],\n [-5, 9, 2, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "682", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 9, 7, -8, -2],\n [-7, -10, 8, 5, 7],\n [8, 2, -5, 8, 0],\n [-7, 6, -7, -4, 1],\n [8, 7, -7, 2, 6],\n [-4, 7, 5, -6, 5]]\nB =\n[[3, -2, 1, 0],\n [0, -4, 0, 0],\n [2, -8, -5, -7],\n [7, 5, 10, -7],\n [-8, -3, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-593", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 0, 9, -3, 2, 7],\n [2, -5, -6, -8, -8, -5],\n [-5, -4, 2, -1, 2, 9],\n [10, 8, -5, -3, -9, -6],\n [3, 3, -6, 9, 2, 10],\n [-2, -4, 10, 6, 3, 8]]\nB =\n[[3, 10, 8, -9, 10, -7],\n [9, -3, 2, -10, -1, -8],\n [1, -8, 0, 1, 0, -1],\n [0, 2, 1, 1, -6, 10],\n [-8, -5, -9, 5, 10, 8],\n [5, -5, -5, -3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -5, -1, 4],\n [-8, 10, -1, -3],\n [5, -9, -10, 0],\n [-8, -4, 6, -5],\n [2, 0, 4, -2],\n [-1, 2, 8, -10]]\nB =\n[[-6, 7, 0, 5],\n [-2, 6, -5, 2],\n [8, 10, -1, 7],\n [8, -5, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 1, -8, -10, 4],\n [3, -10, -9, -4, 7],\n [-10, -9, -9, -2, -4],\n [8, -2, -4, -6, -2],\n [-6, -7, 1, -5, 9]]\nB =\n[[4, 0, -9, 3, 6],\n [9, 9, -3, 1, -3],\n [3, -9, 2, -10, 0],\n [-7, 3, 9, -5, 4],\n [-4, 1, 8, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1683", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -7, -7, -1, 7],\n [-1, -8, -2, -4, -6],\n [4, 0, -7, -8, -3],\n [9, 10, 0, -7, 5],\n [-1, -5, 7, -9, -5]]\nB =\n[[-10, -4, -3, -10],\n [-8, 8, 5, 7],\n [-3, -9, 5, -6],\n [-10, -6, -2, -5],\n [-1, -5, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-9, -4, -4, -1],\n [7, -7, 3, 9],\n [-2, 7, -1, 10],\n [-8, -8, -7, 8]]\nB =\n[[3, -8, -4, -7, 3],\n [-6, 5, -3, 4, -5],\n [-1, 0, 8, -1, 0],\n [-10, -7, -8, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[3, 6, -7, -5],\n [3, -7, 5, -1],\n [5, -5, -3, -3],\n [-10, -2, -6, -9],\n [-4, 1, 4, 3]]\nB =\n[[4, 2, 1, 2, 10, -5],\n [-4, 3, 1, 2, -9, 1],\n [-10, 4, 3, -6, -5, 4],\n [-7, 10, -4, -2, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, 10, 2, -6],\n [8, -8, -4, -2, -9],\n [-6, -2, -2, 0, -7],\n [-7, -9, 6, 9, 5]]\nB =\n[[-8, -7, -9, 10],\n [5, 3, -8, -9],\n [8, 2, -4, -5],\n [0, 0, -1, -4],\n [-4, -9, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "656", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -5, -8, -1, 2],\n [-6, -8, -6, 5, 5],\n [6, -1, 3, -9, 3],\n [6, -3, 1, 4, 2],\n [2, 4, -10, 4, -6]]\nB =\n[[2, -7, -8, 9, -7, -1],\n [6, 3, 1, 10, -7, 6],\n [6, 3, -10, 6, -8, -4],\n [3, -9, 4, -8, -4, 0],\n [1, 8, 6, 7, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -7, -5, -7],\n [7, 9, 7, 9],\n [9, -10, 6, -2],\n [0, 2, -10, -3]]\nB =\n[[5, 8, 7, 0, 6, -6],\n [7, -8, -2, -5, 5, 0],\n [1, 8, 6, 3, 6, 10],\n [-4, 0, 9, -8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -5, -6, -3, -5],\n [5, 10, 7, -8, -6],\n [3, -3, 9, 8, 7],\n [4, -6, -8, -9, -7]]\nB =\n[[-2, -2, -7, 6, -8, -3],\n [-7, 1, 5, -7, 6, 4],\n [2, 0, -2, 0, -2, 4],\n [5, -1, 5, -4, -4, -9],\n [7, 9, 9, -6, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-410", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, 10, -2, 7],\n [5, -7, 5, 3, 7],\n [6, 4, -8, -7, -5],\n [-2, -9, -6, 9, 8],\n [0, 4, -8, 3, 2],\n [-5, 1, 1, 1, -10]]\nB =\n[[-5, -4, -9, -6],\n [5, -4, 1, 9],\n [10, 5, -9, 8],\n [-3, -3, 6, 4],\n [-10, 6, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[7, -9, -10, 2, -6, -10],\n [8, 0, 4, -10, 8, 10],\n [-9, 1, 8, 10, -2, 7],\n [-7, -4, -7, -7, 6, -6]]\nB =\n[[1, 0, -7, 0, -5, -7],\n [8, 3, 10, 4, 3, -4],\n [-6, 0, -10, 6, 6, -9],\n [10, 10, -9, 6, 1, 8],\n [4, 2, -5, 4, -2, 4],\n [0, -2, 9, 3, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -2, -5, 4],\n [9, -7, -8, -4],\n [0, -6, 2, 3],\n [-2, -4, -1, -1],\n [8, -6, -8, -3],\n [1, -6, -2, -8]]\nB =\n[[-1, 3, -6, -1, 2],\n [7, 7, -5, -1, -10],\n [-7, 7, -9, 10, -7],\n [0, 4, -3, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 10, -10, -4],\n [4, -7, -6, -7],\n [1, -5, -3, -4],\n [-8, 10, 0, -2],\n [8, 7, 4, -10]]\nB =\n[[10, 5, -1, -7, 7, 1],\n [8, 7, 0, 6, -10, 4],\n [-5, -6, 3, 2, -1, -7],\n [3, 10, 3, 4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 10, -7, 0],\n [-5, -2, 1, 6],\n [-6, -3, 3, 7],\n [7, -7, -9, -8],\n [7, 9, 3, 2]]\nB =\n[[10, -4, 8, 0, 2, 0],\n [0, -6, -7, -1, -2, 10],\n [2, -2, -1, 8, -3, -8],\n [6, -6, 4, 3, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, -1, -1, -10],\n [9, 4, 9, 1],\n [5, 4, 8, 0],\n [3, 7, -2, 0],\n [-6, 8, 10, -2],\n [3, -9, 5, -4]]\nB =\n[[9, -2, 9, 3, 5],\n [10, 2, 7, -5, -2],\n [-3, 9, 1, 2, -2],\n [10, -9, 9, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -9, -3, 7, -4],\n [10, 4, -2, -6, -7],\n [0, 9, -8, 7, -9],\n [-10, -8, -5, -3, 9],\n [-4, 4, -4, 2, 0],\n [2, 5, -4, -3, 4]]\nB =\n[[7, 4, -3, 3, -7, -4],\n [-5, 0, -2, -10, -4, 2],\n [9, 0, 9, 1, 10, 8],\n [-8, 6, 5, -4, 3, 10],\n [9, -5, 3, -1, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2155", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, -8, 7, -10],\n [-1, -5, 8, -5],\n [-6, 8, 2, -5],\n [-2, 1, -6, -3],\n [4, 6, -8, -2]]\nB =\n[[-10, 5, -5, -7, 10],\n [-2, 10, 2, -5, -4],\n [-7, 9, -1, 6, -6],\n [4, -1, -10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -8, 5, -7, 10],\n [-7, -7, 7, 3, -4],\n [9, -7, -8, -2, 10],\n [5, -10, 2, 6, -4],\n [4, 7, -5, 5, 6],\n [-8, -6, 2, 4, 8]]\nB =\n[[0, 9, -6, 9, -6, 5],\n [-7, -3, 4, 1, -2, 3],\n [-3, -2, -10, -1, 10, 4],\n [10, 2, -6, 6, -4, -9],\n [-7, -2, -6, 7, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[1, -4, 10, -3, 0],\n [-6, 3, 8, 5, -1],\n [-6, -9, 10, -9, 1],\n [7, 6, 8, -5, -10]]\nB =\n[[1, -10, 10, 3, -4],\n [-4, -8, 2, 7, -8],\n [-4, -1, -4, 3, 2],\n [-10, 4, 9, -8, 0],\n [-2, 3, 4, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -10, 10, 0, -7],\n [-3, -10, 8, 1, -8, -8],\n [-5, -6, -7, 2, -6, 2],\n [0, 3, -6, -5, -4, -8],\n [5, 4, 10, 0, 1, -6],\n [5, -7, 9, 10, 1, 7]]\nB =\n[[4, 4, -3, 1],\n [-3, 10, 6, -7],\n [5, 8, -5, -5],\n [-4, 0, -9, -7],\n [5, -6, 3, 1],\n [4, 10, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-7, 0, -3, 9, -6, 2],\n [-8, -5, 5, -10, -4, 4],\n [-3, -7, 7, 3, 4, 1],\n [6, 5, -2, -7, -6, -9],\n [4, -10, -6, 5, -5, 4],\n [5, 5, 9, -4, -1, -2]]\nB =\n[[-5, -4, -6, 5],\n [-7, 8, 9, -10],\n [-5, -4, 1, -8],\n [6, -8, 2, -1],\n [0, -7, -9, 6],\n [7, -5, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 8, 0, -1],\n [-3, 8, 0, -2],\n [-9, 2, 3, -3],\n [-6, 4, -2, -6],\n [-9, -10, -8, 1]]\nB =\n[[4, -3, -8, 9],\n [1, 9, 4, -2],\n [8, -2, -2, 4],\n [-10, 0, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 9, -9, 10],\n [-4, 5, -10, -1],\n [0, 0, -7, 10],\n [3, 4, 4, 9],\n [4, -9, -1, -6]]\nB =\n[[-5, -7, 4, 3],\n [-2, 10, -10, 9],\n [0, -6, 8, 8],\n [-3, 7, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -3, -6, -9, 1],\n [-3, 2, -1, -8, 9],\n [5, -1, -5, 4, -3],\n [-1, -5, 10, 2, 3],\n [-10, -4, 8, -7, 10]]\nB =\n[[10, 3, 10, -2, 2, -1],\n [-9, -2, 8, 6, 0, 8],\n [4, -4, -2, -5, 10, -9],\n [7, -2, 1, -8, 4, -7],\n [1, 4, 3, 8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1987", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, 7, -7, 5],\n [9, 6, -3, -1, -10],\n [-6, -5, -1, -9, 8],\n [-9, 10, -5, -5, 7],\n [0, -3, 2, -1, 2]]\nB =\n[[-9, -1, 6, 7, 6, 3],\n [5, 9, -9, 4, -8, -7],\n [-3, 9, -5, -3, -3, 5],\n [-10, 4, -4, -8, -4, 0],\n [-1, -5, 7, -7, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1966", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -1, -1, 9, -3],\n [5, -10, 6, 8, 6],\n [-5, 8, -10, 4, 4],\n [-2, 8, -7, 0, 6],\n [1, -5, -7, -9, -8]]\nB =\n[[-3, -1, 7, 5],\n [-5, 9, -3, -10],\n [7, -6, -8, 9],\n [0, -4, -3, 8],\n [-9, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, 9, 2, -8, 5],\n [-2, 4, -8, -3, 5],\n [4, 9, 5, 9, 1],\n [7, 1, 10, 8, 2],\n [-8, 7, 4, -9, 9]]\nB =\n[[2, 8, 9, -9],\n [-10, 1, -1, 3],\n [-10, -5, -9, -1],\n [5, 5, -9, 1],\n [-7, 9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, 7, -2, 2, 2],\n [-2, 8, -10, -9, -6],\n [7, 6, 0, 5, 2],\n [10, -2, 7, 9, -3],\n [8, 10, 9, -4, -2]]\nB =\n[[-9, 10, -2, 1, 8],\n [6, -5, 8, -3, 5],\n [3, 5, -7, 9, -5],\n [-3, -8, -9, 4, -3],\n [-9, -5, 8, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[10, 2, 2, 3, -10, -8],\n [3, -5, -1, -8, 7, -6],\n [7, -4, 9, 7, 5, 10],\n [-1, 8, 6, -4, 1, 3],\n [-10, -6, -7, 7, -5, -4],\n [10, 0, -5, -9, 10, 3]]\nB =\n[[-10, -10, -10, -9],\n [-9, -8, -7, -8],\n [-4, 7, 2, 4],\n [0, 6, -10, -7],\n [5, 9, 2, 0],\n [7, 6, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[7, -4, 1, -7],\n [-9, 9, -4, 3],\n [-1, 5, -4, -6],\n [4, 3, 5, 9]]\nB =\n[[0, -7, -4, -9, -6, 9],\n [7, 7, -3, 8, 10, -10],\n [-5, 4, 5, 3, 1, -9],\n [4, -4, 7, -10, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 3, 1, -5],\n [9, 9, -8, 4],\n [-6, -9, -2, -10],\n [-3, 5, 6, -8]]\nB =\n[[4, -4, -10, -10, 0],\n [1, -3, 8, 7, 4],\n [-3, 2, 4, -1, 8],\n [-8, -3, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, 10, 6, 0, -8],\n [-10, 8, 1, -2, -8, 6],\n [-10, -1, 6, -1, -5, 9],\n [5, -7, 1, -8, 3, -10],\n [10, -7, 6, 2, -5, 0],\n [2, 2, 4, -10, -9, 4]]\nB =\n[[8, -9, 7, 5],\n [0, -2, 2, -2],\n [9, -2, 10, -3],\n [9, -9, 2, -10],\n [-5, -6, 3, -10],\n [-8, -9, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "808", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 6, 3, 9],\n [8, -10, 3, 1],\n [6, -3, -4, 9],\n [2, -1, 0, 6]]\nB =\n[[5, -9, -1, -9],\n [10, -1, -9, 6],\n [-9, -9, -2, -4],\n [1, 4, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1057", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 0, 10, 2, -7],\n [-10, 8, 7, -2, 5],\n [0, 9, 8, -7, 3],\n [10, -4, -5, 10, -4],\n [5, -10, -6, 2, -5],\n [-10, -5, 0, -8, 3]]\nB =\n[[9, -2, 2, 10, -8],\n [5, -2, 9, -10, -3],\n [8, 1, -9, 5, 6],\n [0, 0, 1, 10, 8],\n [9, -1, 10, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -2, -1, 5],\n [5, -6, 1, 3],\n [-8, -1, 1, 2],\n [-3, -6, 10, -10],\n [1, 2, -1, -8],\n [-8, 0, -10, 10]]\nB =\n[[-10, 6, 6, 6],\n [2, -8, -5, -7],\n [6, -2, -6, 6],\n [-4, 4, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1370", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 7, 4, 5, -7, -8],\n [-6, 9, -3, -2, 9, -8],\n [-8, -4, -5, -10, 9, -4],\n [-2, -7, -4, 9, 9, -4],\n [5, 10, -9, 4, -10, -5],\n [-4, 10, -8, -1, -2, -6]]\nB =\n[[2, 2, -6, 1, -9, 8],\n [8, -8, -5, -6, -10, -7],\n [-2, -8, 7, -5, 5, 5],\n [3, -7, 7, -6, 4, -7],\n [-8, -10, 3, 1, -7, 8],\n [-7, 7, -1, 8, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3361", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 3, -6, 5, -9],\n [3, 6, 10, 2, 8],\n [-2, -3, 10, -3, 3],\n [-5, 3, -8, -2, 3],\n [-3, 0, -1, 2, 0]]\nB =\n[[10, -1, 3, -4],\n [-9, -6, -6, 1],\n [5, 4, -1, 7],\n [-2, -4, -7, -4],\n [-8, -10, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1022", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 5, 5, 8],\n [-8, 3, 10, -3],\n [0, 8, -9, -2],\n [-7, -2, -9, -2],\n [-3, 9, -1, -3],\n [7, -8, 3, -1]]\nB =\n[[-6, 5, 7, 3, -3],\n [3, 3, -10, -10, 4],\n [3, -1, -8, -2, 2],\n [3, -5, 7, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 2, -10, -7],\n [-7, 1, -7, -8],\n [8, 4, 1, 8],\n [9, -1, 9, -8]]\nB =\n[[1, -9, 8, 9, -4],\n [7, 0, -6, 1, 5],\n [2, 5, 1, -2, 1],\n [5, -3, -3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[8, -6, -7, 5, -9, 3],\n [4, 9, -9, -5, 2, -2],\n [10, 3, 10, -7, 4, 1],\n [-1, -3, -3, 8, 8, -3],\n [1, 5, -1, -3, -6, 0]]\nB =\n[[-4, 9, -5, 7, 6],\n [1, -8, -9, -4, 1],\n [-7, 4, -9, 2, 6],\n [6, -1, 1, 3, 7],\n [0, 4, -2, 0, -4],\n [8, -2, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 1, -7, -9],\n [0, -8, 9, 4],\n [-9, 3, 9, -7],\n [5, 6, 8, -4],\n [-10, -9, -7, 6]]\nB =\n[[6, 5, -2, -9, 0],\n [-3, -10, -10, -4, 3],\n [10, 7, 5, 1, -6],\n [-6, -5, -8, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-1, 10, 0, -5, 8, 0],\n [0, 7, -6, 0, 4, 1],\n [6, -8, -8, 3, -9, 6],\n [0, -8, -3, -7, -3, -1],\n [-7, 6, 1, -10, -5, -2],\n [1, 5, -4, 9, -8, -1]]\nB =\n[[10, -4, -6, -3],\n [-4, -9, -3, 2],\n [10, 1, -2, 8],\n [7, 0, -5, -4],\n [-2, -7, 5, -7],\n [9, 4, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -3, 7, -9, 2, 1],\n [8, -7, 3, 3, 2, 1],\n [1, 8, 4, 8, -7, 5],\n [-5, 8, -8, -7, 0, -9],\n [0, -7, -6, 6, 4, 3],\n [3, 0, -9, -3, 5, -6]]\nB =\n[[7, -10, -7, -7],\n [-8, 0, 1, -7],\n [7, -6, 9, -10],\n [-10, 2, -6, -5],\n [5, 2, -6, -3],\n [-9, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 1, 0, 5, -4, -9],\n [4, -10, -9, 0, 2, 7],\n [-6, 1, 4, -1, 4, 2],\n [1, 2, 9, -6, 3, 8],\n [2, 2, -4, -9, -6, -7],\n [-9, -2, 3, 2, -1, 7]]\nB =\n[[-9, 9, 5, 8],\n [7, -4, -8, 10],\n [4, 7, -7, 5],\n [0, 9, -6, -10],\n [-9, -8, -8, 9],\n [4, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[6, 6, 10, -1, 10, 0],\n [-3, 5, 4, 10, 4, 7],\n [-6, 2, -8, 2, -8, -7],\n [-10, 3, -8, 5, 2, 9],\n [-2, -3, -6, 1, -2, 8],\n [5, -6, 8, -7, 5, 2]]\nB =\n[[6, 5, -4, 3, -4, -10],\n [-10, -8, 1, -6, -9, 0],\n [1, 3, -7, -6, -5, -3],\n [-10, 5, -6, 6, 4, -3],\n [4, 5, 6, 10, -5, 2],\n [-7, 3, -9, 3, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 1, 8],\n [-2, -1, 7, -7],\n [-3, -7, -7, -4],\n [-9, -4, 8, 10]]\nB =\n[[-3, 4, -8, -4, 0],\n [-1, -6, -9, 1, -9],\n [-8, -2, 2, -6, -2],\n [8, 8, -6, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 6, 7, -8, 2],\n [9, 4, 8, -6, 8],\n [-4, -8, -6, -6, -1],\n [1, 6, 2, 3, 8]]\nB =\n[[-4, -10, -6, 5, -1],\n [8, 5, 1, -4, 3],\n [-6, 4, -7, -1, -7],\n [1, 0, -8, 7, -10],\n [9, -4, 1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, 5, 0],\n [0, 2, 9, 8],\n [-10, -9, -7, -2],\n [5, -10, -6, -3],\n [-10, 3, 9, -7]]\nB =\n[[2, 5, -2, -4],\n [0, -7, 1, 7],\n [5, -10, -3, 8],\n [3, 4, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, 2, 0, 7, 7],\n [-8, -3, -1, -6, 7, -10],\n [0, 1, 10, 9, -10, 9],\n [-2, 8, 4, -3, 1, -10],\n [-10, -5, -10, -9, 9, -1],\n [-10, -10, 0, -8, 9, 3]]\nB =\n[[-2, -9, 10, -7, 3],\n [2, -9, -2, 6, -4],\n [-10, 9, -9, -6, 7],\n [-2, -4, -6, 5, 6],\n [-4, -6, 4, -7, 9],\n [0, 6, 6, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -6, 7, -7],\n [-2, 0, 2, -7],\n [-10, -7, -2, -10],\n [8, 3, -1, -6]]\nB =\n[[8, -6, -5, 10, -1, 5],\n [-1, 0, 4, -1, 2, 4],\n [-7, -7, -4, 2, 7, 10],\n [-2, -8, -3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -3, -2, -6],\n [-9, -2, 3, -1],\n [4, 10, 8, 10],\n [5, -10, 10, -4],\n [-9, 1, 10, 0]]\nB =\n[[-10, 4, 9, 6],\n [6, 9, -2, -9],\n [-8, -9, 9, 5],\n [1, 4, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1742", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -5, 7, 10],\n [-3, -1, -9, 9],\n [7, -5, 10, 2],\n [3, -8, -10, -4]]\nB =\n[[-1, -3, -10, 5, -9, 7],\n [-10, 8, -7, -3, 1, 10],\n [0, 10, -4, 10, -5, 10],\n [4, -8, 10, 8, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2239", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 2, 9, 7],\n [9, -6, -1, -6, -1],\n [2, 8, -4, -9, -1],\n [-7, -9, 8, 7, -4],\n [8, -4, -9, -7, 3],\n [-8, 8, -1, -5, 6]]\nB =\n[[3, 9, -9, 8, -2],\n [10, -7, 2, -4, -5],\n [-4, -2, 8, -7, -8],\n [-7, 7, 8, -5, 9],\n [0, 5, 6, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -5, 0, 10, -7, 2],\n [-9, -7, 3, 8, -2, 1],\n [9, 9, -7, 5, 10, -8],\n [9, 1, 10, -8, -3, -7],\n [-1, 3, 7, -1, 0, -5],\n [3, -8, -7, 0, -9, 3]]\nB =\n[[8, 10, 9, 10],\n [-2, 7, 0, 1],\n [-1, -5, 3, 0],\n [-1, -6, 7, 0],\n [-6, 3, -7, 8],\n [8, -3, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1909", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-4, -3, 9, 2, 0],\n [9, 9, 8, -7, 9],\n [0, -2, 8, -5, 6],\n [3, -4, 8, -7, 2]]\nB =\n[[-10, -6, -8, 10, 9],\n [10, 5, -9, 1, -1],\n [-2, 1, 0, 10, 6],\n [-4, 3, 8, 7, -2],\n [5, 9, 7, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -2, -10, 9],\n [-5, 6, 4, 5],\n [-7, 7, 2, 5],\n [8, -10, 5, 3],\n [3, -2, 4, 5]]\nB =\n[[-6, 3, -5, 1, 1],\n [-1, 0, -7, -4, -9],\n [6, 8, 6, 0, 10],\n [1, 4, -2, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 5, 1, 3, 10],\n [-3, 7, 1, 10, 8],\n [6, 6, -9, 9, 0],\n [3, -6, -1, -9, -5],\n [9, 6, 0, 8, 4],\n [-6, 10, -7, 2, 9]]\nB =\n[[5, 6, 1, -5],\n [-1, -3, -10, -10],\n [-9, 8, -4, -8],\n [-1, 0, 10, 9],\n [7, 3, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-8, -2, 9, 2, 10],\n [1, -8, -3, -1, -10],\n [-10, 10, 9, 7, -2],\n [-8, 7, -2, 3, 7]]\nB =\n[[3, 8, -10, 5, 0],\n [-1, -6, -6, -8, -9],\n [-5, 8, 6, 6, 8],\n [4, -5, 9, -2, 4],\n [-2, 0, -7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[5, 2, 5, 5, -6, 7],\n [4, -1, -8, 10, 2, 5],\n [6, 4, 0, 0, 1, -6],\n [6, 10, -2, -8, -2, 1]]\nB =\n[[6, 8, -3, 1, -7],\n [5, 4, -5, 10, 7],\n [9, -1, -3, -1, 8],\n [-5, 6, 1, -7, 5],\n [2, 3, 9, -10, -8],\n [-9, -3, -3, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-8, -1, 1, 9, 4, 7],\n [10, 8, 10, -1, -3, 2],\n [6, -7, 9, -3, -3, 5],\n [10, -8, 1, 4, -3, 8],\n [-3, 0, -9, 4, 0, -10]]\nB =\n[[9, -8, 3, 6],\n [2, 0, 7, 2],\n [-5, 9, 4, -5],\n [3, 9, 9, 6],\n [-5, -9, -9, 4],\n [-5, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-7, -5, -4, 5, 5, -9],\n [-3, 6, -6, -4, -6, 9],\n [-5, -6, 6, -8, -2, 5],\n [1, -4, 4, 0, -6, -1]]\nB =\n[[8, -7, -1, -7, 5, -2],\n [4, 5, -8, 4, -2, -4],\n [-4, -2, -1, 6, 0, -1],\n [-6, 9, 8, 1, -6, 3],\n [-5, -6, -2, -5, 1, -3],\n [-8, -8, 5, -5, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, 10, -10, 2, 10],\n [3, -5, -9, 1, -4, -6],\n [-3, 8, -10, -3, -4, -6],\n [-3, 7, 3, 6, -3, 2],\n [-10, 6, -6, 5, 10, 10],\n [1, -5, 3, -4, -7, 6]]\nB =\n[[7, 10, 1, -2, 5, -9],\n [-6, -10, 0, 2, -5, -6],\n [0, -7, 2, 7, -5, 8],\n [-7, -10, -1, 10, -10, -2],\n [-8, 6, -1, 6, 5, 8],\n [3, 2, -9, -10, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -3, -6, 3],\n [-6, -9, -10, -5],\n [6, 6, 10, -4],\n [4, 3, 3, -5]]\nB =\n[[-9, 10, -2, 8, -4, -10],\n [-8, -10, 1, -4, 3, -2],\n [6, 7, -9, -6, -7, -10],\n [-2, 4, -4, 9, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, -10, -5],\n [0, -10, -8, 3],\n [3, -1, 10, 9],\n [2, -3, 4, -4]]\nB =\n[[2, 2, -2, 4, 2],\n [-7, 8, 0, -4, -5],\n [5, -3, 8, -10, 6],\n [-4, 2, 7, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -6, 0, 0, -1, -7],\n [3, -8, 6, 9, 8, 10],\n [5, -1, -2, -6, -3, -6],\n [2, 3, 9, 4, 1, -4]]\nB =\n[[0, -2, -7, -7, 0, 0],\n [2, -1, 10, 7, 2, -7],\n [9, 6, -1, -8, -10, 2],\n [-7, 8, 5, -8, 10, -1],\n [-5, -7, -5, -8, 4, 10],\n [9, 6, -9, -7, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-5, -3, 8, 1, -2],\n [6, 10, -4, -5, -9],\n [-7, -8, 10, 4, 5],\n [-7, 1, 7, 8, -5]]\nB =\n[[-10, 3, -1, 2, 10],\n [6, -5, -2, -9, -3],\n [5, -8, 0, -3, 3],\n [5, -10, 9, -9, 2],\n [3, -8, 7, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 4, 0, 5, -5, -2],\n [-3, 0, -1, 5, 3, 6],\n [-5, -1, -2, -6, 1, -5],\n [4, 2, -6, 10, -4, 3],\n [-7, 9, 8, 0, 9, 3],\n [7, 7, 10, 0, -6, -10]]\nB =\n[[8, -8, -2, 3],\n [3, 7, -8, 4],\n [-4, 5, 8, -1],\n [-2, 4, -2, 10],\n [1, 4, -1, -4],\n [0, -6, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, 9, -6, 4, 0, 6],\n [9, 5, -3, 3, 8, -8],\n [-3, -3, 5, 9, 10, -9],\n [9, -7, 10, 2, -3, 8]]\nB =\n[[-2, 2, -4, -8],\n [-7, -7, 4, 7],\n [-9, -4, 10, 5],\n [-5, -2, 1, 9],\n [-4, -9, 1, 0],\n [9, -1, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -3, -4, -6, -5, -7],\n [8, -2, -4, 5, 5, 2],\n [4, -6, -8, -10, -3, -7],\n [-3, 2, -1, -2, 6, 7]]\nB =\n[[-5, -6, -7, 4, 10],\n [10, 2, 0, 3, 5],\n [1, -1, 8, 8, -1],\n [0, 2, 3, 7, 7],\n [2, 2, -1, 0, 9],\n [6, 7, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-708", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -6, 4, 1, -8],\n [10, 8, -4, -5, 3],\n [0, -8, 8, -7, -5],\n [-6, -2, -4, 4, -10],\n [7, -3, 7, 6, -2]]\nB =\n[[9, 2, -1, -8],\n [2, -10, 9, -10],\n [-6, 8, -7, -3],\n [-2, 2, 1, 1],\n [8, 0, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1829", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, 5, -4, -7],\n [-6, -7, 10, 1, 4],\n [0, 10, 10, 4, 0],\n [3, -10, 2, -5, 10],\n [8, 7, -4, -2, -9]]\nB =\n[[-4, 4, 8, -6, 6, 4],\n [10, -5, 4, 7, 10, -9],\n [9, 6, 2, 9, 4, -8],\n [6, -2, 1, -5, 6, 9],\n [5, 4, -8, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 5, 8, -1, 1],\n [-5, -3, 8, -8, -10],\n [5, 8, -10, -8, 10],\n [8, 3, 7, -3, -5],\n [-2, 8, 0, -3, 7]]\nB =\n[[-6, 4, -8, 2, -10, 2],\n [5, 7, -4, -5, 6, 8],\n [0, 4, 2, 10, 2, -9],\n [-2, 7, 3, 2, -7, 2],\n [10, 10, -10, -4, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[3, -7, 3, -8],\n [-9, -10, 3, -2],\n [-2, 7, 6, -8],\n [-1, 1, 3, 0],\n [7, -2, 8, -8],\n [3, -6, -2, -5]]\nB =\n[[9, 5, 4, -3, -4],\n [-5, -2, 5, 10, 5],\n [2, -2, -8, 5, 0],\n [9, -9, -7, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-5, 5, 6, -3, -3, 5],\n [-3, -10, -6, 8, -4, 7],\n [8, 6, 8, 3, 1, -5],\n [9, 5, -10, 2, 1, 3]]\nB =\n[[6, -5, -10, 6],\n [-5, -4, 1, -8],\n [-5, -7, -6, -10],\n [-5, 6, 9, 5],\n [7, -7, 4, 9],\n [10, 5, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 7, -5],\n [6, -4, -9, 7],\n [6, -9, 2, -7],\n [10, 10, -8, -5]]\nB =\n[[-10, -3, 10, 9],\n [-1, -10, 6, 9],\n [-5, -10, -5, -2],\n [7, -3, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[10, -8, -9, -5],\n [-5, 2, -8, -9],\n [-10, -10, -2, 4],\n [-2, 1, 4, 10]]\nB =\n[[-1, 0, -4, 0, -3],\n [4, -8, -7, 5, 3],\n [-5, -8, 5, 1, 10],\n [10, -4, 1, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 10, -4, -3, -5, 8],\n [-10, -6, 2, -9, -4, -8],\n [-7, 2, -2, -5, 10, 1],\n [-9, 3, -9, 10, 9, -6],\n [4, -6, 6, 0, 7, 1],\n [9, -4, -8, -2, 8, -3]]\nB =\n[[4, -7, -2, 10],\n [-4, 7, -6, 5],\n [10, 4, 3, 8],\n [6, -6, 10, 9],\n [-5, 2, -4, 4],\n [-4, -6, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1761", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -1, -3, 5],\n [3, 8, 7, 4],\n [8, -7, 4, -7],\n [1, -5, 7, -5],\n [8, -5, 10, 3]]\nB =\n[[-5, 7, 6, 1, 10],\n [5, 4, -3, 4, 10],\n [-3, 2, -9, 5, 9],\n [-9, -7, 1, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -1, 0, 0],\n [7, 8, -4, 6, 2],\n [-7, 3, 6, 5, 6],\n [-7, 10, 6, -10, -5]]\nB =\n[[1, -7, 4, -1],\n [-10, 6, 0, 8],\n [-4, 10, 0, -4],\n [4, 2, 1, 7],\n [9, -4, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 8, -10, -10, 0],\n [5, -2, 10, 6, -4],\n [-4, 0, 7, 8, -8],\n [-6, -3, -2, -8, -7],\n [-9, -7, -10, -3, -2],\n [-5, -1, -2, -10, 3]]\nB =\n[[-9, 8, 9, 3, 8],\n [-6, -6, 2, -2, -3],\n [-10, -5, -3, 1, 9],\n [7, -10, 8, 10, -3],\n [-8, 1, 7, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2534", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-9, 3, -7, 2],\n [-2, 1, 3, 9],\n [-4, -10, 2, 10],\n [6, -7, -1, -4]]\nB =\n[[0, -8, 4, 9, -1, 7],\n [3, -2, -6, 8, 10, 1],\n [8, -6, -7, -6, 3, 8],\n [0, 3, 10, -1, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 9, 5, -7],\n [-10, 6, -3, -4],\n [-3, -8, 1, 5],\n [-4, -7, -9, -9]]\nB =\n[[-9, 10, 7, -5, 10, -4],\n [-1, -7, 9, -10, -5, -7],\n [1, -10, 6, 3, 10, 7],\n [-2, -3, -7, 4, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[7, -2, 1, 4, 7, 6],\n [-9, 3, -2, -9, -2, -4],\n [-2, -3, 2, 3, -10, -8],\n [-7, 7, 1, -3, -8, -4],\n [6, -3, 6, 6, 4, -7],\n [4, 4, 10, 8, -9, 7]]\nB =\n[[6, -4, 0, -3, -3],\n [3, 6, 6, 8, -2],\n [-10, 2, 6, 8, 4],\n [6, -9, -9, -3, 10],\n [1, 0, -3, -7, -10],\n [1, 9, 0, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 1, -3, 10],\n [-1, 2, -5, 2],\n [8, -9, -5, 3],\n [-6, -8, -7, 8],\n [8, 3, 10, 1],\n [10, 2, -1, 8]]\nB =\n[[10, 6, 9, 5],\n [-1, -4, -9, -2],\n [-3, 4, -2, -7],\n [9, 5, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1898", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 8, 2, 3, 9],\n [-5, 4, -6, -5, 1],\n [-2, 3, 1, 1, -3],\n [0, -8, 2, -9, 8],\n [9, -8, -3, -1, -10],\n [-7, 1, -2, 5, -5]]\nB =\n[[-8, 6, 8, 3, 4],\n [2, 0, -5, 8, -6],\n [3, -7, 5, -1, 0],\n [-8, 8, -8, -2, -9],\n [3, -10, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -1, 5, 3, 7, -2],\n [5, -5, -1, 9, 9, -10],\n [-6, -8, 4, 8, -1, -4],\n [0, 8, 9, -4, 1, 3]]\nB =\n[[8, -3, -6, 3, 5, -6],\n [-5, -6, -7, 2, 3, 6],\n [-5, -4, 0, 8, 10, -10],\n [-7, -10, -10, -4, 8, -7],\n [-8, 5, -5, -8, -2, -2],\n [1, -5, -10, 7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1573", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, 2, -10, 4],\n [0, 9, 1, 6, -2],\n [7, -7, -10, -8, 10],\n [-2, 2, 5, -4, -10],\n [3, -3, -10, 5, 9]]\nB =\n[[-9, -3, -8, 7, -7],\n [2, -3, -3, 6, -1],\n [5, 3, 8, -8, -6],\n [4, -3, -7, 1, -2],\n [6, 0, 3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 7, -7, 3],\n [-9, -9, -4, -5],\n [-3, -3, 7, -1],\n [7, -1, 5, 8],\n [10, 5, -4, -9],\n [6, -9, 0, -5]]\nB =\n[[-1, 5, -5, 2, 3],\n [3, -8, -1, -6, 3],\n [-5, 8, 7, -10, 7],\n [8, -2, 1, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -3, -9, 9, -8],\n [7, 4, 6, -10, 2],\n [4, -7, 5, -5, -8],\n [-6, 10, -2, -5, -1],\n [-10, 1, -7, -10, 9],\n [-9, -10, 9, -9, -3]]\nB =\n[[-6, -7, -2, -3, 10, -1],\n [6, -2, 9, 1, -10, 3],\n [2, -3, -2, -2, 6, 0],\n [-9, -4, -8, 9, 2, 3],\n [1, 10, 9, 5, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3274", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 1, -5, 4, -6],\n [-9, -9, 10, 3, 7],\n [4, -7, -7, -5, -7],\n [3, -5, 1, 2, 6]]\nB =\n[[-7, -9, -4, 2, 3, -3],\n [7, 6, 4, 7, -6, 5],\n [10, -3, 3, -8, -3, 6],\n [-9, 10, 10, 6, -7, 6],\n [-3, 9, -3, 7, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1433", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 5, 5, -2, 6, 4],\n [0, 1, -8, 0, 4, -8],\n [2, -9, -2, 3, 5, -1],\n [1, 8, 8, 0, -5, -2]]\nB =\n[[2, 8, 1, 8, 6],\n [-3, 2, -5, -3, -1],\n [-2, -3, 10, -7, 4],\n [7, -6, -7, 5, 0],\n [-3, -1, -2, 7, 2],\n [7, 5, 9, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "912", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 0, 4, -1],\n [0, -9, 8, -7],\n [6, 4, 0, 0],\n [-9, -1, -1, -9],\n [2, 7, -2, 1],\n [7, -8, -1, 9]]\nB =\n[[-1, -7, 3, -5],\n [-10, 10, 8, 3],\n [10, -1, 2, -1],\n [-7, -8, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -3, 1, -2, 6],\n [3, 3, 7, -1, 5],\n [0, 1, 8, -6, -4],\n [3, 8, -7, -4, -4],\n [2, -4, -6, 4, -2],\n [4, -5, -6, 4, 6]]\nB =\n[[-3, -7, -5, 4],\n [6, 9, -4, 2],\n [-10, 2, -3, 1],\n [7, -1, 5, -5],\n [-8, -7, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-347", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, 10, 6, 5, 1],\n [-9, 9, 10, 8, 7, -8],\n [7, 4, 4, -3, 5, 7],\n [-9, 1, 5, -1, -7, 4],\n [8, 5, 9, -8, 3, -2],\n [1, -2, 6, 7, 1, 5]]\nB =\n[[-4, 3, -5, 7],\n [-7, 0, -8, 7],\n [-6, -7, 4, 3],\n [-3, 7, -7, -10],\n [-10, 1, -4, -1],\n [-8, 0, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-843", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, 10, 5, 8, 1],\n [-8, 4, 6, -7, -8, -7],\n [3, 5, -9, 8, -9, -7],\n [1, 3, 2, 9, 5, -1],\n [-3, -10, 4, 8, 0, -2]]\nB =\n[[8, 0, 2, 2, -6, 10],\n [-4, -3, -6, 2, -6, -1],\n [7, 3, 5, 10, -8, -3],\n [1, -3, 7, 2, 7, -4],\n [8, 10, -7, 10, 6, 6],\n [0, 6, 4, 8, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-254", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 4, 1, 4, -4, 1],\n [-3, 1, -7, 3, -5, -2],\n [1, -1, -1, -8, -7, 3],\n [0, -6, -6, 2, 5, 8],\n [3, 7, 10, 5, -8, 3]]\nB =\n[[5, -4, -5, -1, 6, -5],\n [-8, -5, -7, 6, -3, 10],\n [-7, 0, -4, 3, 0, 8],\n [8, 2, 10, 3, -7, -4],\n [2, -5, 5, -9, -8, 8],\n [-1, 5, -4, -7, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1834", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, -7, 10, -3],\n [-7, -8, 4, -6],\n [0, -5, 0, 10],\n [-5, 3, -6, 8],\n [10, 4, 5, -10]]\nB =\n[[9, 1, -1, 1, -10],\n [-10, -10, 7, 4, -9],\n [4, 5, -10, 8, 0],\n [2, 9, 0, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -7, -10, -8, 6, 3],\n [7, -4, 6, 2, -5, -2],\n [1, -2, 8, -9, 5, 5],\n [-1, -5, 5, -2, -10, 5],\n [7, -3, 6, -2, 9, 1]]\nB =\n[[-3, 10, 1, 2],\n [-8, -9, -3, 8],\n [7, -1, -10, -4],\n [2, -8, 10, 2],\n [-8, -6, -7, -8],\n [9, -9, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 9, 2, 7, 4],\n [9, 9, -1, -7, 5],\n [8, 3, 4, 4, 0],\n [5, -6, -4, -6, 7],\n [0, -10, 8, 9, -5],\n [6, -2, -8, 3, 4]]\nB =\n[[-5, 0, -8, -6],\n [-9, -1, 2, -10],\n [5, -7, -5, 5],\n [2, 3, -3, 0],\n [9, -9, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-787", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -6, 5, -6, 3, -10],\n [1, -3, 0, -8, 2, 0],\n [-10, 5, 3, 4, 3, -6],\n [9, 6, -10, -5, 6, 2],\n [7, -9, -10, 4, 0, 9],\n [-1, -9, 6, 3, 1, 1]]\nB =\n[[1, 6, 5, -2],\n [1, 7, -7, 4],\n [8, 10, 3, -8],\n [-8, -4, 2, 4],\n [-2, 1, -1, 3],\n [1, 9, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-10, 2, -2, 7, 8, -10],\n [7, -8, -4, 7, -8, -10],\n [-2, 1, -4, 6, 0, 0],\n [7, 3, 5, 7, 6, -8],\n [2, 7, -10, 1, -1, 8],\n [1, -5, 0, 2, 8, 9]]\nB =\n[[4, 6, -9, -8],\n [-10, -6, -1, 3],\n [-2, 3, 5, -10],\n [-10, 8, -7, -5],\n [6, -9, 10, 1],\n [7, -6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -4, 10, 8, 4, -9],\n [5, 7, 5, 5, -8, 8],\n [-8, -1, -7, 3, 2, -8],\n [9, -8, -1, -3, 9, -5],\n [-5, 6, 7, 2, 5, -9],\n [10, 3, -9, -2, 5, 2]]\nB =\n[[-5, -8, -6, 0, 3, 4],\n [7, 8, -4, -6, 4, 8],\n [0, 9, 3, 3, -10, 6],\n [-4, 9, 1, -2, 9, 7],\n [-8, -10, -6, 5, -8, 9],\n [0, 1, 4, 6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 6, 1, 5, 0, 3],\n [1, -3, 3, 5, -4, -5],\n [4, 0, 2, 0, -1, 6],\n [3, 5, 10, 0, 4, 0],\n [-4, 5, 8, 4, -1, -7],\n [-10, -1, -7, 2, 5, -5]]\nB =\n[[8, -4, 1, -5, 2],\n [-7, 3, 8, -10, 2],\n [1, 7, 6, 7, -1],\n [6, 1, 7, 3, 0],\n [1, -6, 2, 10, -9],\n [-7, -2, -10, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -4, 4, -2, 10, -10],\n [-6, 5, 1, -8, 8, -9],\n [-7, 9, 7, 0, 9, -9],\n [-4, -1, 10, 4, -1, -7]]\nB =\n[[10, 7, -5, -4, -1, -4],\n [-3, -10, -10, -5, 1, 8],\n [-3, 1, 8, -9, 10, 3],\n [5, 1, -8, -2, -9, 8],\n [-9, 0, -9, 5, -7, -5],\n [6, 3, 10, 2, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1438", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 1, -7, 7, -1],\n [2, 7, 10, -7, -3],\n [-9, -9, 2, 7, 6],\n [-4, -6, -5, 10, 9],\n [3, -10, 10, -2, -1]]\nB =\n[[6, 7, 1, -4],\n [-5, -5, -7, 7],\n [-8, -6, 2, -3],\n [9, -10, 10, -6],\n [-8, -3, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1599", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -5, -7, 8],\n [-1, -9, -7, -8],\n [-4, 3, 6, -3],\n [5, 9, 10, -2],\n [-9, -7, 10, 9],\n [-1, 0, 9, 1]]\nB =\n[[6, 9, 2, 8],\n [8, 5, -6, -1],\n [-8, 9, 6, 9],\n [9, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-10, 2, 1, 0, 7],\n [10, 6, 1, 10, -10],\n [9, -2, 0, 1, 2],\n [9, 2, 5, -2, 0],\n [-8, -5, 9, 8, 5]]\nB =\n[[-6, 0, -8, -4, -8, -4],\n [5, -8, -9, 3, 9, 8],\n [8, -1, 3, -8, -8, -9],\n [4, 9, -9, 2, 6, -2],\n [1, 3, 1, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 2, 4],\n [-3, 7, 10, -9],\n [10, 2, 3, -7],\n [-7, -3, 9, 9]]\nB =\n[[-9, -3, -4, 8, 9, 1],\n [10, -5, -1, -4, 4, 2],\n [5, -9, 1, -2, -8, 4],\n [1, 3, 9, 8, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, 4, 4],\n [-9, -1, -8, -1],\n [7, 7, 9, 3],\n [-3, -2, -3, -6]]\nB =\n[[1, 0, -8, 0, -6],\n [-1, 8, 5, -2, 4],\n [5, -7, 4, -2, 7],\n [1, -2, 9, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 7, -6, 4],\n [-8, 9, -3, 10, 3],\n [0, 10, -7, 8, -6],\n [10, 6, 6, -9, 4]]\nB =\n[[5, -10, -7, 8],\n [-2, 7, -5, 2],\n [-3, 9, 5, 10],\n [-1, -1, 7, -5],\n [-4, 4, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1033", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 9, -8, -1, -7, 4],\n [-1, 2, -10, -5, -8, 5],\n [1, 9, 3, 9, 0, -6],\n [-5, 10, 2, -8, -3, -5],\n [2, 8, -7, 3, 0, 1],\n [2, -7, 7, -1, -10, 8]]\nB =\n[[-5, -8, -9, -3, 8, -6],\n [-9, 2, 10, 8, 8, 0],\n [4, -7, 5, 4, 5, -6],\n [-1, 0, -8, -4, 3, -7],\n [5, 8, 0, 9, -3, -3],\n [-10, 7, -6, -1, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2493", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -7, 0, -4, -4, -10],\n [-5, -7, -1, -6, 0, -8],\n [-10, 0, -4, 5, 2, -7],\n [-5, -7, 7, -3, -5, -6]]\nB =\n[[7, -9, -3, 9, 3, -1],\n [-6, 7, 7, 2, 10, 2],\n [9, 5, 9, -5, -1, 10],\n [2, -4, 7, 2, 10, 5],\n [-3, 9, -2, 0, -8, 9],\n [4, 6, 8, -10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1777", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[6, -6, -9, 10],\n [2, -7, 1, 9],\n [-4, 1, 7, 0],\n [10, -5, -1, 0],\n [4, 10, -8, -10]]\nB =\n[[8, 2, -7, 9],\n [-4, -8, -9, 3],\n [-5, -10, -6, 5],\n [1, 4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -3, 9, -9],\n [3, -7, -4, -9],\n [-5, -4, 8, 2],\n [3, 7, -10, 2],\n [-6, 7, -8, -6],\n [7, 7, 4, 9]]\nB =\n[[-2, -4, -5, -7, 0],\n [-8, 0, 7, -8, 4],\n [4, -10, -1, 4, 1],\n [-4, -3, 3, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -2, 0, -4, -4, -1],\n [10, -5, -3, 5, 9, 3],\n [-9, 8, 8, -9, -6, -4],\n [-3, 4, -5, -10, -5, -5],\n [0, 5, 7, -2, 9, -9],\n [-6, 7, -6, 3, -3, -4]]\nB =\n[[1, -4, 3, 10, -2, -10],\n [-6, 10, -9, -6, 5, -9],\n [10, 9, 8, -5, -1, 8],\n [-7, -9, -10, 10, 3, 6],\n [2, 10, 5, -1, -7, 3],\n [-10, -10, 0, 9, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -5, 8, 4],\n [9, 10, 3, 4, 7],\n [8, 8, -6, 8, -5],\n [3, 8, -9, 8, -8],\n [-4, 3, 4, -9, 10]]\nB =\n[[8, -6, 3, -7, 3],\n [-9, 0, 2, -7, 8],\n [5, 5, 4, -6, 7],\n [-7, 10, 5, 8, -1],\n [10, -2, 3, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1647", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-2, -1, 6, -7],\n [-4, -6, 3, 5],\n [-10, 2, 0, 7],\n [-5, 0, 2, -7]]\nB =\n[[-3, -4, -6, 10, -4],\n [-3, -7, 9, 6, 5],\n [0, -7, -2, -5, 1],\n [-6, -8, -5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -8, -5, -4, 6],\n [-3, 5, 1, 5, 3],\n [7, 4, -8, 6, -4],\n [8, -5, -4, -5, 5],\n [-4, 4, 4, -3, 7]]\nB =\n[[-2, 0, 5, -8, -2, -8],\n [3, 5, -3, 6, -7, 3],\n [-8, -8, -8, -6, 1, 0],\n [-7, 7, 7, 7, 10, -5],\n [10, 0, 4, -10, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "616", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -6, -8, -10, 3, 5],\n [9, 0, -6, -3, 10, 5],\n [-9, -1, -10, -7, 4, -5],\n [0, 10, -8, 5, -8, 4]]\nB =\n[[9, -8, 6, 6],\n [-8, -4, 9, -9],\n [8, -3, -3, 1],\n [-4, 9, 9, 10],\n [-4, 4, -7, -8],\n [2, 2, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-6, 7, -9, 3],\n [9, -9, -8, -3],\n [3, 9, 2, -10],\n [-10, -8, 3, 7],\n [6, 7, -8, 1],\n [-1, 5, -7, -6]]\nB =\n[[-1, -5, 10, -2, -6, -6],\n [-7, 1, 10, -3, -7, 0],\n [-10, -6, 8, 5, 2, 8],\n [4, -1, 6, 2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -8, 5, -1, 10],\n [1, 0, 0, 4, -4],\n [4, -1, -2, 8, -7],\n [3, 0, -9, 2, 1],\n [8, -10, -4, 3, 7],\n [-1, -3, 6, 7, -9]]\nB =\n[[-4, 10, 9, 6, 9, 0],\n [-10, -3, -4, -9, -10, -8],\n [6, 9, -6, 6, 6, -9],\n [1, -10, 1, 0, 9, 3],\n [-9, 4, 3, 10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 9, 3, -1],\n [5, 8, 7, -4],\n [-2, 2, 0, 6],\n [5, -10, -6, -6],\n [-6, 6, 6, 8]]\nB =\n[[9, -2, 7, 6, -9],\n [8, 2, -5, -10, 0],\n [-1, 8, 6, -4, 6],\n [-7, 5, 3, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1473", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, -5, -10, -10, 7],\n [9, -8, -7, 6, -8, 10],\n [7, -7, -4, -7, 4, 6],\n [-3, -7, -5, -4, -9, 2],\n [8, -8, -8, -2, -5, -6]]\nB =\n[[-6, 7, 4, -8],\n [-5, 4, -3, -3],\n [-4, 9, -5, 5],\n [3, 6, 2, -9],\n [9, 6, 0, 5],\n [3, -3, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-695", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 9, 5, 4, 2, 4],\n [0, 1, 5, -9, -9, -2],\n [10, -1, 0, 0, 7, 7],\n [4, 1, 5, -3, 5, -1],\n [-7, 8, -3, -5, -7, 8],\n [-8, 7, 3, -6, 6, -8]]\nB =\n[[-4, -7, 7, -1],\n [2, -10, 5, -8],\n [9, -3, -1, 3],\n [-10, -5, -6, 9],\n [9, -2, -6, -1],\n [-7, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1486", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[4, 5, -6, -6],\n [7, -9, -3, -1],\n [3, -5, 8, 6],\n [8, -6, -2, 9]]\nB =\n[[6, 1, -1, -4],\n [8, 0, 8, 10],\n [10, 10, -3, -4],\n [7, -9, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -9, 3, -3],\n [0, -2, -8, -7, -7],\n [1, -3, -10, 7, -3],\n [-2, 4, 8, -7, 4],\n [-7, -4, -5, 5, 0]]\nB =\n[[-7, -8, -5, 1, 8, 5],\n [5, 2, 9, 8, -5, -2],\n [-10, -7, -1, 9, 9, -7],\n [10, 8, 1, -4, 7, -5],\n [5, 2, 7, -1, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2065", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, -9, 5, 7],\n [-6, -2, -7, 2],\n [6, 6, -1, -4],\n [6, 9, -8, -4],\n [-5, 7, -3, 9]]\nB =\n[[2, -9, 2, -5, 2],\n [-4, 5, -4, -1, -3],\n [-4, -9, -10, -2, -5],\n [-7, 9, 10, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, 0, 8],\n [10, 0, -4, -4],\n [-2, 0, -2, -4],\n [3, 8, 3, 5],\n [3, -1, 10, -5],\n [6, 6, 6, -4]]\nB =\n[[-8, 7, 1, -8, -7, -9],\n [10, -1, 0, 7, -8, 1],\n [-3, -2, -2, 7, -6, -4],\n [-1, -5, 1, -5, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1661", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -2, -6, 3, 10, 7],\n [-7, 10, -8, 3, 6, 2],\n [-4, -9, -1, 5, 4, 0],\n [-2, 6, -8, 1, 1, 7],\n [0, -2, -4, 5, 2, 3]]\nB =\n[[8, 0, 5, -8, -9, 10],\n [-2, 8, 6, 0, -10, 6],\n [-6, -8, 6, 10, 6, 8],\n [7, 6, 7, 4, 3, -10],\n [-5, 2, 5, -1, -1, -7],\n [-5, 1, -1, 3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1806", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, 4, -7, -6, -4],\n [2, -4, 8, 6, -8, -5],\n [-2, 9, 5, -7, -1, -6],\n [0, -9, 10, -9, 3, 3],\n [4, 3, -5, -9, -6, 9],\n [10, -4, 4, 8, 9, 0]]\nB =\n[[10, -5, 4, -8, -4],\n [1, 6, -6, -9, 1],\n [3, -1, -10, 1, 2],\n [6, -1, 2, 9, -9],\n [1, 6, 5, 5, 4],\n [9, 3, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 6, 7, -8, 5],\n [-6, -7, -3, -6, 6],\n [1, 8, -1, 4, -3],\n [2, 8, -6, 0, 9],\n [-8, 1, 9, 4, -4]]\nB =\n[[4, 10, 8, 8],\n [-6, 4, 0, 0],\n [6, 5, 3, 9],\n [-8, -1, -5, -4],\n [4, 4, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-366", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -4, -10, -6],\n [-1, -8, -3, 1],\n [0, 10, 7, -5],\n [-3, -6, 1, 4],\n [7, 3, -5, -1],\n [7, -7, 8, 4]]\nB =\n[[10, 4, -4, 7, 8],\n [2, 9, 8, -8, 1],\n [-6, 7, 9, -1, 7],\n [-2, 4, 10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -2, -6, 2, 1, 5],\n [-2, 8, 0, -4, 5, -3],\n [-3, 3, 6, 6, -10, 4],\n [2, 10, 8, -6, 4, -1],\n [-2, -8, 3, 4, -5, 1]]\nB =\n[[-5, -8, 8, 8, 3],\n [1, -10, -8, 1, 5],\n [2, 9, 3, -3, 1],\n [5, -3, 6, 5, 4],\n [-4, 6, -2, 0, 5],\n [8, 10, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, 5, -3, 3, -7],\n [-6, 3, -2, 2, 5],\n [0, -10, -1, 5, 6],\n [7, -10, 4, 2, 0],\n [7, -8, -8, 6, 2],\n [1, 4, 7, 7, -7]]\nB =\n[[8, 9, 9, 7, 10, 7],\n [5, -10, -10, 10, -9, -5],\n [7, -10, 9, -10, 7, 1],\n [0, 6, 9, 5, 4, 1],\n [-7, 7, -3, 6, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -9, -6, 6, -2, 0],\n [10, -6, 9, -5, -6, -8],\n [-8, 6, -2, 0, 5, 2],\n [-9, -7, 2, 5, -10, 4],\n [10, -8, 6, 4, 8, -5],\n [-8, -8, 10, 9, 4, 3]]\nB =\n[[-10, -3, -9, 3],\n [-7, -10, -10, 1],\n [-3, 6, 1, 2],\n [-3, 7, 0, -8],\n [8, 1, 5, 0],\n [6, 4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 5, -10, 1, -7],\n [7, -6, -10, 10, 8],\n [-8, 5, -4, -6, 1],\n [-4, 8, -8, 7, 7],\n [4, 5, 10, -6, -1],\n [7, -4, 2, 3, 4]]\nB =\n[[-10, 8, -3, -3, 2, -4],\n [-2, -10, 3, -7, -8, 7],\n [1, -2, 6, 5, 0, 4],\n [9, -2, -8, -4, 6, -9],\n [-9, 0, -8, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 4, 9, -3, 7],\n [6, -8, -3, 8, 6],\n [-1, -4, -5, 6, -10],\n [-8, -8, -6, 9, -3]]\nB =\n[[-3, 10, 9, 4, 2],\n [0, 9, 3, -4, -3],\n [4, 7, -5, 3, 1],\n [10, 9, 8, -5, 1],\n [8, -6, -9, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1032", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, 8, 7],\n [-6, -3, -8, -1],\n [-5, 6, -10, -10],\n [-2, -1, 10, -8],\n [4, -7, 4, -7]]\nB =\n[[-9, -4, 6, 5],\n [-9, -4, 7, -6],\n [0, 6, -5, -10],\n [9, -10, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-8, 6, -9, -7],\n [2, 0, -7, 5],\n [3, -9, -3, 3],\n [2, 6, 6, 8],\n [-10, 2, -2, 3],\n [-3, 3, 4, 8]]\nB =\n[[-2, -8, 0, 5, -3, 6],\n [-1, -4, -4, -2, -10, -2],\n [1, -1, 7, 1, 8, -7],\n [-8, -8, -1, 5, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 1, -4, -5],\n [6, -9, 9, 10],\n [9, -3, 0, -5],\n [1, 0, 6, 2]]\nB =\n[[-10, -1, 8, 5, 1, -7],\n [6, 6, 2, 3, 5, -1],\n [-9, 0, 5, 7, 2, -10],\n [-5, -9, -5, -8, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 3, 3, -3],\n [-9, 7, -4, 8],\n [4, -9, -9, 7],\n [9, -6, 3, -6]]\nB =\n[[-1, 7, -10, -6, 0],\n [-6, 7, 3, -4, -9],\n [-4, -3, -6, -9, 9],\n [-2, 10, -7, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[4, -8, 6, 4, 5, -6],\n [-4, -7, 8, -2, -1, -2],\n [-2, 4, 5, 6, 6, 8],\n [1, -2, 3, 5, 8, 8]]\nB =\n[[10, -5, 1, 10, 5, 7],\n [0, 9, 7, 7, -9, -9],\n [4, -7, -2, 8, 10, -9],\n [-9, 6, -7, 1, -2, -4],\n [-3, 3, -5, 10, 7, 9],\n [4, -4, -3, -7, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -10, 3, -4, -7, -6],\n [5, -5, -9, 2, 4, 9],\n [2, 5, 3, 1, -1, -10],\n [0, -2, -10, 9, -2, 9],\n [-9, 2, 1, 7, -10, -8],\n [-1, 8, 1, 9, -7, -10]]\nB =\n[[9, 1, 9, 2],\n [-7, 8, 0, 6],\n [0, 7, 5, 4],\n [6, -1, 6, -10],\n [5, 0, -10, 5],\n [-2, 7, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -3, 7, 7, -9, 4],\n [-6, -3, -4, 8, 6, -5],\n [-8, 0, 10, 7, 9, -9],\n [3, -2, 7, -4, 1, 5],\n [10, 7, 0, -2, -7, -6]]\nB =\n[[3, -4, -2, -5, 0, 10],\n [7, -9, -9, -8, -2, 10],\n [1, 10, 8, -6, -2, 0],\n [2, -5, 3, -7, -5, 10],\n [-3, -9, -3, -1, -5, -9],\n [0, -2, -8, -5, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1881", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, -3, -1, -4],\n [5, 7, -10, -1, -7],\n [1, -9, 3, -5, 10],\n [7, -4, -7, -4, -2],\n [-9, -2, -5, 10, -4],\n [-6, 4, 8, 10, -8]]\nB =\n[[8, 7, 1, 9, -3],\n [1, 5, -1, 9, 8],\n [5, 9, -8, 7, 10],\n [-6, -3, -7, 7, 3],\n [-10, 2, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, 8, -4],\n [4, -7, 2, 10],\n [-10, 7, -5, 4],\n [-6, 0, 6, 0],\n [8, 9, -9, -3],\n [-8, -7, 10, 2]]\nB =\n[[7, 0, -10, -1, 2],\n [8, -2, -4, -6, -7],\n [10, 3, 10, -6, -6],\n [9, 1, 9, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -8, -6, 0],\n [1, -10, 3, 3],\n [10, 4, 0, 0],\n [2, 0, -5, 4],\n [-6, 0, 10, -3],\n [-3, 8, 10, -5]]\nB =\n[[-10, 9, 7, -2, 1, -8],\n [1, 1, -4, -1, 3, 6],\n [3, -10, 1, 4, -9, -9],\n [10, -3, 1, 5, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, -8, 7, 9, 7],\n [8, -1, 8, -4, -6, -10],\n [8, 6, 3, 3, 5, 3],\n [-9, 4, 4, -7, -5, -3],\n [-8, 7, 5, -9, 3, 4],\n [-5, 6, -6, -9, 6, -10]]\nB =\n[[2, -2, 5, -8, -8],\n [-5, -9, -2, -9, 5],\n [0, -4, 6, -8, -4],\n [6, -9, -2, 3, 3],\n [-1, 5, 3, 7, 8],\n [0, 2, -4, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, -7, -2, 1, -9],\n [-4, -6, 7, 7, 5, 5],\n [5, 7, 6, 1, 9, -4],\n [0, 3, -1, 2, 0, -6],\n [6, 10, 10, 5, 7, 5]]\nB =\n[[2, -1, 6, 3, -7],\n [2, -1, 6, 6, 8],\n [-3, 5, 9, -6, -8],\n [0, 3, 5, 1, -8],\n [-9, -1, 6, 1, -6],\n [4, 0, 6, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -3, -4, 3, -6, 2],\n [5, -10, -8, 4, -1, 0],\n [-6, 2, -10, 6, 6, 5],\n [5, 6, 5, -1, -8, 9],\n [5, -9, -5, 8, 0, 9],\n [-1, 7, -7, -2, -10, 0]]\nB =\n[[-9, 3, 7, -7, -5, -6],\n [-9, -6, -3, -9, 10, -9],\n [-9, -3, -7, -8, 5, 4],\n [2, 0, -6, 5, 8, -3],\n [2, 3, -8, -6, 1, 3],\n [-4, -9, 2, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2825", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, 3, -2, 9, 2],\n [6, -3, 5, -7, 10, 5],\n [1, 6, 7, -1, -5, -2],\n [-3, -8, -7, -8, -1, -2]]\nB =\n[[-9, 1, 2, -3],\n [-10, -8, 4, -9],\n [8, 0, -7, -1],\n [-6, -9, -5, -3],\n [-4, -3, -7, -5],\n [-10, -2, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 6, -9, 1, -5, -8],\n [-9, 3, 0, 7, -5, -3],\n [7, 1, -3, 2, 4, 1],\n [10, -2, -5, 8, 5, 10],\n [1, -9, 4, -5, 2, 1],\n [4, 0, 9, -6, 9, 7]]\nB =\n[[-9, 10, 6, 6, 3, -9],\n [-9, 10, -7, -3, -4, 2],\n [8, -1, 5, 7, -2, -1],\n [3, -6, 10, 5, -5, -5],\n [-5, -8, -2, 10, 4, -4],\n [-6, 0, -1, -6, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -8, -9, 7, -5, -10],\n [3, -6, 5, -8, -9, 5],\n [9, 0, -1, -7, -9, -2],\n [10, 9, 3, -7, -2, 4]]\nB =\n[[6, 7, -6, 7],\n [-8, -7, 2, -1],\n [5, 10, 4, -2],\n [3, -2, 9, -7],\n [-7, -4, 5, 8],\n [-1, -4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 6, -2, 2, 1],\n [-4, 4, 6, -2, -8],\n [10, -9, 7, -1, 4],\n [0, 4, -8, -2, 2]]\nB =\n[[6, 5, 8, -7, 4],\n [-1, 7, 0, -6, 10],\n [-2, -2, 3, 0, 4],\n [4, 0, -1, -8, 5],\n [-8, 4, -2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -8, 10],\n [-7, 4, -9, 0],\n [-8, -9, -8, -5],\n [-5, -5, -5, 5]]\nB =\n[[3, 7, 0, -8, 2],\n [5, -7, 4, -3, -8],\n [7, -4, 9, -7, 8],\n [7, -5, -2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[1, 2, -4, -5, -4, 8],\n [-1, -4, 1, 0, 4, -3],\n [9, -6, 2, -5, 5, -10],\n [7, 2, -10, 5, -5, -10],\n [-7, 0, 6, -4, -3, 6]]\nB =\n[[6, 6, -8, -8, 1, -5],\n [-4, 2, -3, -9, 7, -7],\n [6, -7, 6, -6, 1, 6],\n [5, 6, 3, 10, 0, 7],\n [2, 2, 0, -2, -2, -3],\n [5, -2, -1, -7, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 7, 4, 2],\n [9, 10, 10, 5],\n [3, 5, -9, -4],\n [10, 0, 8, -8],\n [3, -7, 10, -3],\n [4, 9, 7, -4]]\nB =\n[[5, -2, 7, 1, 2, 3],\n [2, -10, 9, 9, -7, 9],\n [7, -2, -1, -4, -7, 10],\n [-7, -5, 2, -4, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[3, -4, 10, -6, 4],\n [2, -1, -4, 4, 3],\n [10, 7, -3, 2, 3],\n [10, 7, -10, -1, 1],\n [-4, -3, -9, -4, 1],\n [-10, -7, -9, -1, 4]]\nB =\n[[2, 6, 0, 6, -5, 4],\n [-8, 2, 9, -1, 5, 3],\n [2, 7, -4, 8, 8, 4],\n [10, -10, 7, 8, -9, 4],\n [-5, 9, 5, -6, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, -3, 8, 10],\n [8, -9, 3, -4],\n [0, -3, 4, -2],\n [6, 5, 9, -1],\n [-8, 6, -3, -3]]\nB =\n[[3, -2, -9, -5, 8],\n [6, -3, -10, 2, -8],\n [9, -8, -9, 2, 1],\n [9, -3, 3, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -3, -10, -8, -10],\n [10, -6, -1, 1, -1],\n [2, -8, -2, 7, 7],\n [-6, 8, -10, 6, 3],\n [-2, 1, 8, 0, 9]]\nB =\n[[-4, 5, -4, 10, 5],\n [1, 0, 5, -1, 4],\n [-8, 7, -8, 5, -2],\n [-7, -4, 3, -4, 8],\n [1, -6, 10, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1772", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-1, -7, -10, -7],\n [-1, -3, -7, -3],\n [4, 7, 9, 8],\n [-1, -2, 1, -2]]\nB =\n[[7, 2, 5, -9],\n [2, 10, 3, 3],\n [-6, 0, 9, 3],\n [-3, -9, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 1, -7, -2],\n [-5, 0, 5, 1],\n [7, -2, -4, -3],\n [-5, 8, -8, -9],\n [-5, 10, -4, 5],\n [-1, 9, 4, -6]]\nB =\n[[-4, -7, -6, -9, 8],\n [5, -2, -5, -6, 0],\n [-10, -5, -5, -5, 9],\n [-1, 0, -3, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -5, -1, 9, -6, 3],\n [3, -6, 2, -4, 6, -8],\n [9, -1, 0, 7, 7, -8],\n [9, -4, -10, 9, 8, -1]]\nB =\n[[2, -1, 9, 0, -1],\n [9, 8, 9, 8, 7],\n [-2, -2, 8, -5, 0],\n [1, 8, 5, 5, 9],\n [-4, -4, -5, -3, -8],\n [-7, -4, -8, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, -8, 7, -5],\n [-3, -8, 5, 3, 1],\n [-4, 5, -2, 0, -10],\n [7, 0, 4, -6, 7]]\nB =\n[[0, -2, -9, 3, -10, -2],\n [-10, 1, 7, -1, 7, 1],\n [-10, -9, -3, 10, -7, 3],\n [-7, 0, 1, 5, -6, 0],\n [-3, -6, 4, -5, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 5, 8],\n [-5, 5, 4, -7],\n [-4, 9, 5, -4],\n [4, -3, -2, 8],\n [-2, -6, 0, 4],\n [9, 2, -7, 0]]\nB =\n[[-8, 3, 1, -3],\n [7, 4, -4, 1],\n [-8, -8, -8, -8],\n [-1, 1, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 3, 1, 6, 2],\n [7, 7, -6, 8, -8, 2],\n [-8, 5, 9, 4, 0, 9],\n [8, -4, 7, -1, -4, -3]]\nB =\n[[8, 6, 3, -7, 10],\n [0, 3, -8, 3, 3],\n [7, -3, 9, 1, 5],\n [9, 9, -6, -8, -6],\n [-7, -6, 1, 8, -5],\n [-5, 4, 7, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "277", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 6, 10, 6, 2],\n [-9, 8, -4, 2, 0],\n [4, 9, -2, 1, -5],\n [-5, -6, 10, 0, 10]]\nB =\n[[-10, -6, -7, 9, -6, -3],\n [5, 4, -3, 8, 0, 0],\n [10, -9, 3, 6, -9, 7],\n [10, -4, 2, 1, 7, -9],\n [6, -4, 7, 10, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "630", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -2, 3, 9, 5],\n [7, -9, 9, -2, 10],\n [9, 1, 7, -4, -1],\n [-7, 4, -10, -3, -5],\n [-5, 0, 10, 8, -1],\n [-3, 10, 1, -8, 10]]\nB =\n[[-4, -10, -10, 7, 4, 0],\n [9, -4, -2, 10, -5, 6],\n [-7, -6, 6, 7, 0, -3],\n [4, 5, 1, -9, -8, -2],\n [-4, -7, 3, 7, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 8, 9, -7],\n [0, 6, 7, 6, 6],\n [-10, 6, -2, -5, -7],\n [8, -9, -3, 5, -2],\n [3, -10, 1, 5, -9],\n [-8, 6, 2, -6, 8]]\nB =\n[[1, -6, -2, 7],\n [-2, 2, 7, -7],\n [7, 3, -5, 1],\n [-2, 10, -5, 2],\n [7, 9, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1676", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[1, -8, 6, -6, 7],\n [7, -6, 4, -8, 0],\n [7, 1, 10, -6, 9],\n [5, -6, 3, 5, -9],\n [0, 1, 8, 5, 9],\n [4, -6, 2, -6, -1]]\nB =\n[[1, -10, -5, -1, 9, 7],\n [2, -9, 3, 9, 4, 5],\n [-4, 1, 4, -4, -4, 4],\n [10, 9, 8, -5, -1, -10],\n [-3, 1, -7, 5, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[7, 9, 2, -6, 8],\n [-4, 2, -8, 6, -5],\n [-8, -5, 8, 1, -3],\n [1, 7, -10, -1, -9],\n [-2, 7, -2, 1, 3],\n [4, -7, 6, 2, -7]]\nB =\n[[8, 5, 2, 8],\n [8, 0, 6, -2],\n [9, -3, 10, -1],\n [-7, -2, 1, -5],\n [-4, 10, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 1, -4, -1, -4],\n [9, -4, 3, -8, 7],\n [-5, 7, 8, -4, 10],\n [-1, 9, 2, 6, -7]]\nB =\n[[10, 5, -10, 9],\n [-5, 9, -5, -10],\n [-9, -6, 6, -3],\n [8, 7, 3, -1],\n [-5, -2, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 1, -8, -9, 0],\n [8, -7, -10, -7, 3],\n [6, -3, -8, -1, 8],\n [-2, -1, 3, -6, -8]]\nB =\n[[8, 7, 8, 8],\n [1, -6, 4, 5],\n [-8, -1, -5, 6],\n [2, 8, 2, -2],\n [-7, -9, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "605", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, 5, 1, -9],\n [3, -8, -6, 10, -6],\n [-2, 8, -2, 7, 2],\n [-1, -5, -1, 5, -5],\n [4, -5, -7, 4, 8]]\nB =\n[[-9, 0, -8, 3, 10],\n [1, 4, 4, 6, -9],\n [-4, 3, 5, 8, 5],\n [-7, -2, -1, 1, 1],\n [-4, 5, -3, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-633", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 9, 7, 6, 4],\n [-5, 0, -7, 5, -10],\n [8, -2, 5, 7, 5],\n [2, -7, -8, 9, -10],\n [6, -5, -7, 3, 8],\n [-6, -6, 5, 4, -10]]\nB =\n[[5, -2, 6, -10],\n [7, -2, 6, 6],\n [-4, -7, -5, 9],\n [10, -2, 7, 10],\n [-9, -9, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 7, 5, -6],\n [-10, 7, 2, -1],\n [3, -4, -10, -10],\n [5, 2, -5, 9],\n [1, 7, -6, -2]]\nB =\n[[10, 9, -6, 9, -8, -4],\n [-4, 0, -7, 10, -5, -3],\n [4, 9, 4, -8, -8, 0],\n [1, -6, -4, 7, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1559", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[6, 1, -1, -2, -1, 0],\n [2, -10, 7, -2, -2, 4],\n [-9, 5, 5, 10, -1, -6],\n [-3, 0, -7, 8, -2, 6],\n [-10, -1, 5, 6, 7, 9]]\nB =\n[[5, -4, -4, 3],\n [9, 6, 2, -1],\n [2, -1, -7, -9],\n [-7, 9, 8, 4],\n [7, -10, -2, -4],\n [10, -4, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -7, 10, -7],\n [-9, 0, 10, -3],\n [10, 6, 10, 7],\n [10, 9, 8, -4]]\nB =\n[[-7, 6, -6, 1],\n [-5, -1, 0, 6],\n [-2, 2, -3, -5],\n [-6, -6, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1074", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -4, 0, -1],\n [6, 8, -2, -2],\n [6, -1, 8, 0],\n [4, 6, 6, 3],\n [9, -5, 6, -8]]\nB =\n[[-3, -2, -5, -4],\n [-10, 9, 6, 4],\n [9, 4, 9, -1],\n [-10, 6, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -9, -9, 2, 4],\n [10, -9, 6, 0, 3],\n [8, -5, 0, 5, -5],\n [0, -2, -10, 7, 1],\n [-1, 4, 9, 10, -2]]\nB =\n[[-10, -9, -5, 8, 10, -10],\n [-10, -7, -7, 4, 3, -1],\n [9, 2, 3, 5, -7, 7],\n [10, -3, -4, -6, 5, 10],\n [-5, -2, -3, 7, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 2, 10, -1, -6, 8],\n [9, 0, 5, -6, -1, 5],\n [-9, -4, -3, -8, -8, 7],\n [-4, 1, 9, -4, 2, -1]]\nB =\n[[9, 6, 8, 3],\n [3, 7, 1, -5],\n [-3, 9, 1, 2],\n [0, -3, 5, -8],\n [3, 0, -6, 1],\n [7, -6, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 6, 3],\n [-5, 4, -4, -4],\n [4, -7, -3, -3],\n [6, -7, -5, 1]]\nB =\n[[-3, 9, -10, 3, 10],\n [-4, 6, -4, 2, -3],\n [3, 3, -4, -4, 0],\n [4, -10, -3, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 9, -9, 4, -1],\n [2, 0, -6, 7, 10],\n [-6, -5, 10, 7, 8],\n [-2, -4, -4, -4, -2]]\nB =\n[[6, 7, 7, -1, 4, -1],\n [-10, 3, 1, -10, 9, 3],\n [-9, 10, -1, -1, 9, -4],\n [7, -8, 2, -9, 1, -6],\n [-7, -4, 3, 5, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 2, 1, 2],\n [10, 0, -8, 5],\n [7, -4, -4, 1],\n [7, -4, -10, 7],\n [8, -7, -1, -5]]\nB =\n[[5, -6, -3, -6, 3, -1],\n [2, 4, 3, 0, 7, 4],\n [-8, 7, 10, 6, 4, 2],\n [-7, 10, -8, 10, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1828", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -5, 1, -3, -7],\n [-7, -7, 8, -5, -6],\n [-9, -6, -3, 1, 6],\n [-3, 6, -10, 2, -6],\n [7, 1, -8, 7, -10]]\nB =\n[[0, 4, -5, -6],\n [-6, -1, -9, -1],\n [10, -8, -2, 6],\n [-6, -8, -5, 8],\n [5, 0, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, -6, -8, 5],\n [-1, 8, -10, 5, -8],\n [-9, -7, -6, 5, -8],\n [5, 4, -4, 4, -5],\n [-5, 3, -1, -3, 4],\n [-7, -7, 2, 4, 3]]\nB =\n[[-6, 0, 8, 6],\n [-7, 9, 7, 1],\n [3, 3, -6, -5],\n [3, 8, 6, 1],\n [4, -5, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[10, 10, 4, -2, 4],\n [-10, 0, -7, -5, -7],\n [-1, 4, 7, -6, 5],\n [-4, 7, 6, -8, 7],\n [-9, -10, -10, 0, 10],\n [3, -4, 10, -10, 9]]\nB =\n[[6, 7, -10, -6, 6, -6],\n [-7, -1, 7, -5, -6, -7],\n [-5, 0, 2, 2, 3, -10],\n [-10, -1, 7, 2, -9, -10],\n [-1, 2, -8, 5, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-4, -4, -6, -9],\n [-2, 9, -6, -5],\n [-6, -1, 9, 7],\n [9, -5, 4, 5],\n [-2, 1, 0, -9]]\nB =\n[[-2, 6, 5, 3],\n [6, -8, -9, 9],\n [3, 10, -6, -9],\n [4, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[5, -4, -1, 1, 1, -9],\n [1, 3, -9, 2, -6, -6],\n [-7, -1, 4, 6, 1, 0],\n [-9, -1, 1, 8, -7, -1],\n [-4, 5, 2, -6, -1, -6]]\nB =\n[[-3, 0, -10, -7, 7, -4],\n [1, 8, 0, 1, 10, 4],\n [-7, 1, -5, 10, -7, -6],\n [3, 10, -9, 6, -8, 6],\n [-9, 4, 0, -9, 0, 3],\n [-4, -6, 8, -5, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -2, -2, -5],\n [1, -6, 5, 9],\n [4, 2, 4, 1],\n [-10, 6, -3, 10]]\nB =\n[[-5, -3, 4, -10],\n [-2, -7, -9, -7],\n [-5, -9, 9, 9],\n [-6, -6, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 3, 5, -4, 5, 6],\n [6, 9, 0, 2, 0, 2],\n [6, 6, 5, -7, -8, 6],\n [-10, 3, -4, -3, -6, 4]]\nB =\n[[6, 1, -2, 1],\n [-10, 1, -2, 10],\n [10, -1, 8, 9],\n [-7, -7, -10, -9],\n [1, 1, -7, 7],\n [-10, -7, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 2, 9, 4, -1, 4],\n [2, 10, -3, 3, 6, 1],\n [-3, 4, 0, -5, 7, 6],\n [2, 0, 2, -6, -6, 8]]\nB =\n[[2, 8, -8, 4],\n [-5, -2, 9, -3],\n [-2, -4, -10, 3],\n [-2, 3, 7, -2],\n [-10, 10, -8, 9],\n [-10, 10, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -4, -4, 1, 6, -10],\n [10, 9, -4, -7, 4, 0],\n [5, 8, 0, 6, 7, 4],\n [-2, -9, -3, -6, -9, -4]]\nB =\n[[-10, -2, 10, -3, 10, -7],\n [9, 2, 1, -1, 10, -10],\n [-3, -8, -3, 4, -4, -1],\n [3, -6, -7, -6, -3, -5],\n [3, 6, -2, 0, -9, 1],\n [0, -7, -1, 10, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -10, -10, 8, 3],\n [-8, 9, 0, 0, 0],\n [2, 0, 3, 10, 8],\n [4, -6, 0, -9, 3],\n [-3, -6, -1, 8, -2],\n [-9, 1, -7, 5, 4]]\nB =\n[[4, 2, -3, 2, 5],\n [1, 8, -8, 8, 1],\n [-7, 4, 7, -8, -6],\n [8, 6, 6, -3, 6],\n [-10, -1, 6, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -9, -3, 3],\n [-3, 3, -10, 1],\n [1, 4, 0, 8],\n [-1, 10, 1, 9],\n [2, -3, 9, -6]]\nB =\n[[-6, 6, -6, -5, 3, -4],\n [-4, 10, 3, 1, 4, -2],\n [-5, 2, 9, 8, 0, -5],\n [2, 7, 10, 0, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[2, 8, 10, 3, -4],\n [-4, -7, -10, -9, -4],\n [2, 5, 3, 7, -9],\n [-6, 6, 1, 7, 10],\n [-10, -6, 1, 8, 0]]\nB =\n[[10, -9, -6, -2],\n [8, 6, -10, 4],\n [-4, -2, 6, -8],\n [8, 2, -5, 4],\n [0, 9, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -10, -10, 5],\n [-9, -10, -10, -6],\n [-6, 3, 7, 7],\n [-7, 10, -7, 6]]\nB =\n[[7, -2, -10, 2, -9, 5],\n [6, 7, 1, -4, -9, 6],\n [-7, -5, -2, -10, -8, -8],\n [-6, -7, 5, 7, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "940", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-2, -8, 5, 10],\n [8, 5, 3, -7],\n [4, 5, 9, -9],\n [-6, 1, 2, 1],\n [-1, -10, -9, -4],\n [6, 0, -10, 3]]\nB =\n[[10, 7, 0, -4, 10],\n [-7, 10, 0, 10, 9],\n [-2, 8, -8, 2, -5],\n [-8, -3, 4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[5, 9, -4, -4],\n [7, 4, 4, 8],\n [-1, 4, 4, 6],\n [10, -2, -8, -9]]\nB =\n[[5, -5, -1, -8],\n [8, 5, -4, -10],\n [10, -6, 2, -5],\n [8, 10, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 7, -1, -5, 1],\n [-9, 1, 10, 9, 5],\n [8, -8, -2, -1, -6],\n [-9, 2, 5, -4, -2],\n [-8, -5, 10, 10, 0],\n [7, -10, -1, -10, 1]]\nB =\n[[-3, -3, 8, 6, -6],\n [1, 5, -6, 6, -1],\n [-8, -10, 3, 7, -1],\n [9, 0, -3, -10, 2],\n [5, 9, 1, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 4, -7, -7, -1, 1],\n [-10, 2, 3, 2, 8, -3],\n [3, 9, -6, -4, -6, 0],\n [-8, -1, 8, 8, -1, 9]]\nB =\n[[6, 5, 9, 8],\n [10, -2, 1, -7],\n [4, 3, -6, -3],\n [-10, 2, 8, 0],\n [8, 9, -5, 0],\n [-5, -6, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, 8, 6, 10],\n [-8, 6, 2, -9],\n [4, 2, 1, -2],\n [-1, 8, -9, -7],\n [3, 6, -4, -9]]\nB =\n[[5, -9, -3, 8, -5],\n [-7, 1, -5, 10, 3],\n [-5, -8, -7, 2, 0],\n [-2, 7, -1, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 2, 4, -8],\n [6, -9, 0, -8, 7],\n [1, -6, -10, 10, -4],\n [4, 8, -10, -6, -6],\n [-8, 6, -10, -5, 6]]\nB =\n[[-7, 3, 3, 7, -5],\n [-7, 8, -5, -6, 5],\n [5, -5, -3, -1, 8],\n [-3, -9, -8, -7, 3],\n [-10, 9, 7, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[4, -9, 1, -10, 0],\n [-9, -9, 2, -10, 5],\n [2, 7, -9, -8, 3],\n [-9, -7, 10, 7, -5],\n [10, -6, 8, -6, 8]]\nB =\n[[3, -10, 6, 8, 4],\n [-9, 9, 1, 6, 0],\n [-9, 6, -3, 8, 4],\n [-4, 0, 5, -1, -5],\n [6, 2, -10, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 1, 4, 9],\n [3, 3, -5, -9],\n [8, 6, 7, -9],\n [3, -2, 7, 8]]\nB =\n[[9, -6, 8, 7],\n [6, 5, 3, 1],\n [-4, -4, -6, -10],\n [6, 5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1081", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -3, -8, 1, -10],\n [-2, -7, 2, 7, 9],\n [1, 3, 10, 10, 1],\n [3, -6, -3, 2, 5]]\nB =\n[[-2, 8, 2, 8, 0],\n [-10, 3, -7, 6, 7],\n [1, 2, -7, 1, -5],\n [-10, -9, 10, 7, 10],\n [7, -3, -3, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -5, 1, -2, 4],\n [8, -1, -6, 1, 9],\n [-9, 5, -8, -1, 0],\n [3, -9, -7, -5, 9],\n [0, -6, 9, -9, 2],\n [9, 10, 10, -4, -2]]\nB =\n[[1, -8, -8, 1, 5],\n [-1, 7, 1, -4, 6],\n [0, -10, 4, -5, -3],\n [-9, -9, -8, -10, 7],\n [3, 5, 9, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1669", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-10, 9, 6, 1],\n [5, 2, -7, 9],\n [-7, 2, -9, 9],\n [9, -9, 9, -10],\n [-7, -5, 2, 9],\n [-7, 4, -7, 2]]\nB =\n[[-10, 2, 6, 5],\n [1, 5, 6, 2],\n [-5, 2, 3, 5],\n [0, 10, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 6, -1, 8],\n [-4, 5, 4, 8],\n [-10, -3, 4, -7],\n [3, -8, 10, 0],\n [9, 1, 6, -2],\n [0, 2, 5, -4]]\nB =\n[[-7, 3, -4, 10],\n [-7, 6, -8, 3],\n [-8, -10, -3, 6],\n [-10, -10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-530", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, 7, -10],\n [-5, -10, 2, -7],\n [10, 0, -8, 1],\n [9, -9, 8, -7],\n [-6, 6, -4, 0]]\nB =\n[[-6, -1, 2, 2],\n [-1, -1, 2, 8],\n [5, -9, -6, -9],\n [-2, 5, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, 1, 10, -7],\n [9, 2, 9, -2, 5],\n [7, 2, -10, 4, 2],\n [-1, -1, 2, -1, 0],\n [3, 4, -7, 10, 5]]\nB =\n[[-5, 9, 8, 2, 7, -8],\n [-5, -7, 0, -1, -1, 5],\n [-4, -3, -9, -7, -10, 9],\n [-5, -9, 3, 3, -10, 7],\n [0, 0, -9, 5, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 9, 4, -4, 0, 6],\n [8, -7, 4, -8, 3, -7],\n [10, 4, -8, -10, -4, -8],\n [-5, 10, -8, -3, -8, -7],\n [7, -10, -2, 4, 6, 5]]\nB =\n[[0, -7, 10, -1],\n [8, 3, -2, 10],\n [-8, -9, 2, 6],\n [-5, -4, 9, 6],\n [-2, 2, -9, -5],\n [-2, 7, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1483", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-9, -6, -5, 2, 5],\n [6, -4, 0, -3, 7],\n [3, -10, 5, -3, -3],\n [1, -9, 1, -8, 0],\n [3, -2, 0, 6, 3],\n [4, -7, 4, 0, -3]]\nB =\n[[7, -3, -6, -5, -9, 2],\n [3, 0, -3, -2, 4, 10],\n [7, -3, 6, 1, -5, -1],\n [0, 2, -7, 0, 4, 7],\n [-8, 6, -3, -8, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -3, -8, 3],\n [7, 2, 2, -1],\n [10, 4, -1, -5],\n [9, -3, 5, 9],\n [0, -7, 5, 0]]\nB =\n[[8, -8, -2, 1],\n [1, 8, -9, -4],\n [10, -9, 4, -9],\n [0, 1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1066", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 4, 8, -10, -1],\n [-1, 2, -3, 4, -5],\n [-3, 5, 1, -5, -4],\n [-1, -6, 4, -5, -1],\n [6, 4, -9, -9, -10]]\nB =\n[[10, 1, -4, 5, 4],\n [7, -5, -9, 4, -9],\n [2, -9, 3, 10, -2],\n [7, 10, 7, 8, 4],\n [-6, -2, 0, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 1, -1, 9, -7],\n [5, -2, -6, 3, -10, -4],\n [-3, -3, -8, 7, -5, -3],\n [-10, -9, 9, 1, 1, 5],\n [1, 0, 7, 3, -9, -7]]\nB =\n[[6, -1, 0, 10, 3],\n [-10, -5, -6, -6, -3],\n [-8, 9, -10, 9, 2],\n [-7, -4, 8, 10, 10],\n [4, 0, -2, 0, 5],\n [-7, 2, -10, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-10, -5, -1, 3, 2],\n [10, 2, 0, 7, 9],\n [-10, 10, -7, 2, 6],\n [-4, 2, 5, 7, 3]]\nB =\n[[-2, 10, -4, -6, -4],\n [-10, 3, 1, 1, -6],\n [1, -6, -1, 2, -5],\n [5, -2, -1, 5, -7],\n [2, -2, 7, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 3, -3, -3, -1, -9],\n [-1, -1, 8, -6, 5, -3],\n [4, 10, -4, -2, 3, -7],\n [-3, -10, -7, -7, 9, -7]]\nB =\n[[2, -8, 2, -4, 1],\n [-3, 1, -10, 3, 0],\n [-10, 1, 10, -3, 8],\n [9, 10, 9, -6, -4],\n [-9, 0, 1, -5, 6],\n [-1, -9, -6, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[3, -4, 3, -3, 10],\n [-3, -4, 2, -10, 7],\n [-1, 0, -3, -7, -1],\n [-6, -6, 9, -7, -1]]\nB =\n[[9, 4, -2, 1, -8],\n [-3, -3, 3, -5, -5],\n [-1, -3, 4, 4, -8],\n [-5, 0, -7, 1, 8],\n [5, 2, 0, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -6, -3, -9, 6, -9],\n [5, 4, 1, -2, 9, -3],\n [-9, 0, -8, 6, -1, 6],\n [1, -3, 9, 5, 1, 10],\n [1, 3, -8, 6, -1, 1]]\nB =\n[[-6, -6, 5, -5],\n [4, -4, -4, -1],\n [6, -7, -2, -6],\n [-8, 10, 10, -10],\n [4, -6, -10, -8],\n [-3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 9, -10, -7, 9, -5],\n [-7, -8, 7, 9, -3, -5],\n [9, 4, -1, 9, -1, 3],\n [8, -2, 4, 8, -2, 4]]\nB =\n[[6, 9, -4, -5],\n [7, 0, -9, 7],\n [3, 3, 5, 2],\n [8, -10, -9, 8],\n [-6, -3, -10, 0],\n [8, 1, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 2, -1, 9, -10],\n [5, -2, -6, -7, 0],\n [10, 2, 6, -7, -9],\n [-8, -4, 2, 2, 1],\n [-10, 3, -2, -6, 10]]\nB =\n[[-8, 5, -7, -7, -8],\n [-5, -4, -4, 8, 0],\n [-5, -5, 4, 2, 6],\n [6, 7, 0, -3, 5],\n [8, 9, -1, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -7, 1, -4],\n [-7, -6, -4, 3],\n [7, 5, 8, -5],\n [0, -1, 6, 3],\n [4, 5, -3, -10]]\nB =\n[[10, -8, 1, 9, -6],\n [-6, -5, 0, -9, -1],\n [-7, -4, 10, -7, 5],\n [8, -8, 3, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -7, -6, 4],\n [8, 9, -8, -4],\n [-6, -7, 4, 4],\n [7, -7, -10, -8],\n [10, -8, -8, 4]]\nB =\n[[2, 2, -2, 6],\n [-5, -7, -4, 3],\n [8, 3, -2, -10],\n [-5, -10, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 10, 1, 8, 3],\n [-6, 7, -1, 10, -5],\n [10, -1, 7, 6, 10],\n [9, -6, -2, -10, -10],\n [2, -10, -8, 8, -2]]\nB =\n[[9, 7, 5, 10],\n [-2, -10, 5, -2],\n [8, 2, 3, -8],\n [-3, -1, 10, -10],\n [-3, -4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "653", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-4, 5, -5, 8, 6, -9],\n [-2, 3, -2, -7, 1, -4],\n [6, -9, -1, 0, 9, 0],\n [-10, 5, -6, 10, 1, 6]]\nB =\n[[1, -9, 3, 4, -3],\n [9, -1, 7, 4, -10],\n [9, 8, -1, 2, -2],\n [-9, 1, 2, 7, 2],\n [-7, -4, -2, -3, -2],\n [3, 8, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -7, -6, 5, -10],\n [-2, -9, -10, 2, 6],\n [6, -8, -5, 8, -3],\n [7, -6, -8, 7, -9],\n [0, -6, 8, -6, -2]]\nB =\n[[2, 8, 8, -9, 3],\n [10, -1, -7, 10, 9],\n [-5, -10, 8, -5, -10],\n [0, -5, 0, 8, 8],\n [-9, 10, 6, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1502", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 3, 8, 5, 6],\n [1, -6, 9, 4, 6, 9],\n [-9, 0, -2, -5, -6, -6],\n [-3, 6, -8, -4, -10, -4],\n [-7, 7, 9, -1, 8, -3],\n [6, -7, 3, 2, -9, -4]]\nB =\n[[-8, 1, 2, -4, -7],\n [6, -10, 3, -1, 10],\n [1, -8, 8, 2, 5],\n [9, 5, -7, -8, -3],\n [2, -2, -4, -5, 1],\n [-3, -5, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -8, 9, 2, 3],\n [0, -9, 4, 6, -8],\n [6, -5, 0, -5, 9],\n [-9, 9, -2, -10, 3],\n [-3, 10, -2, -3, 9],\n [-9, 0, 9, -5, 10]]\nB =\n[[8, 10, 3, 1, 0, 5],\n [9, -6, -8, 5, 5, 3],\n [0, 3, -1, -7, -1, 8],\n [-3, 4, -8, -2, 6, 1],\n [1, -5, 3, 10, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 1, 3, -8, 6],\n [-10, -4, -5, 8, 9],\n [3, -8, 3, -5, 1],\n [7, 4, -10, -5, 6],\n [-2, -6, 1, 10, 3]]\nB =\n[[9, 0, -8, 0, -10],\n [1, 6, 9, -6, 0],\n [5, -5, -2, 9, -10],\n [-1, -3, -1, -6, 0],\n [-3, -5, -4, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1297", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 0, 8, 4],\n [4, -8, 9, -8],\n [3, -8, -3, 2],\n [4, -10, 9, -4],\n [-2, -1, -1, 8],\n [-5, 8, 10, -5]]\nB =\n[[5, 0, -5, -2, -3, -1],\n [3, 3, 7, -6, -3, 7],\n [8, 6, 1, -1, -5, 8],\n [-3, 4, -7, 7, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1800", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -3, 8, 5, 4, -5],\n [-5, 8, 3, -3, -1, 4],\n [-9, 3, 2, -7, -3, 4],\n [-5, -9, -3, -6, -5, -1],\n [10, -9, 1, 3, -6, -9]]\nB =\n[[-8, 7, 8, -5, 6],\n [-8, -6, 6, -7, -2],\n [3, 5, 2, -5, -8],\n [10, -3, 4, 9, -7],\n [-10, -5, -8, -10, -2],\n [7, -7, 10, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 4, -6, 9, 7, -5],\n [-7, 5, -2, 0, -9, 5],\n [4, -3, 8, 4, 2, 6],\n [-10, -1, -8, 0, 7, 5],\n [0, 1, -5, 4, 10, -10]]\nB =\n[[0, -7, 9, -9, -4, 1],\n [8, 0, 1, 3, -3, -1],\n [2, 6, -9, 10, 5, 4],\n [0, 7, -4, 6, -9, 3],\n [-9, 8, -1, -8, 9, 6],\n [8, -9, 1, 6, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1978", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[9, 3, -1, 8, -4, 8],\n [-9, -3, -1, 0, -5, -2],\n [-3, 9, -10, 1, 9, -9],\n [-3, 8, -4, 4, -9, 6],\n [-2, 1, 8, 6, 2, -9],\n [4, -8, 5, 10, -4, -6]]\nB =\n[[-1, -5, 0, 0, 9],\n [-5, -3, 3, 1, 5],\n [-7, 10, -5, 1, -5],\n [-8, 4, 4, 9, 10],\n [9, 4, 4, 9, 1],\n [-6, 0, 0, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 5, 5, 5, 5, 6],\n [3, -10, 1, 8, -10, 4],\n [9, 0, -2, -6, 9, 6],\n [8, -3, -5, -9, 4, 10],\n [-6, -2, -4, 10, 0, -8]]\nB =\n[[-4, -9, 0, 8],\n [7, -10, 0, 6],\n [6, 3, -2, 4],\n [2, 10, 7, 8],\n [-2, 6, 2, -2],\n [-1, -5, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -9, 7, 5, 0, 1],\n [8, 8, -5, -3, 9, -4],\n [3, 0, 3, -9, 0, -2],\n [-9, 2, 6, 5, -6, 9]]\nB =\n[[-1, -2, 8, -3, 9],\n [-8, -7, -4, 7, 7],\n [-1, 1, 9, 6, -2],\n [9, -2, 0, 8, -1],\n [3, 1, 4, 1, -9],\n [-1, 9, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[-3, -1, 0, -3],\n [5, -8, -5, 10],\n [5, 4, -1, 0],\n [-9, -10, 3, 1],\n [8, 10, 0, -2],\n [5, -9, -8, 3]]\nB =\n[[4, -10, -8, -5, 2, 3],\n [10, -2, 2, -7, 10, -10],\n [7, -1, -8, -4, -9, 2],\n [-6, 6, 1, 2, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 4, 10, -2],\n [-2, 0, -3, -4],\n [-10, 3, 7, 4],\n [-2, -9, -5, -9],\n [7, -6, 7, 6],\n [3, -10, 2, 3]]\nB =\n[[-3, 8, 4, 4, 4],\n [6, -1, -4, -6, -1],\n [-9, 1, 7, -5, 8],\n [-8, 3, -10, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1922", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[2, -8, -10, 2, 8],\n [-6, 5, -4, 8, -8],\n [7, -5, -5, -8, -8],\n [0, -4, 5, 4, -8],\n [0, 1, -1, 4, 6],\n [-2, -6, 8, -8, -6]]\nB =\n[[-10, -1, -8, -9, 2, -4],\n [-8, -10, 4, 3, 6, 4],\n [-1, -6, -8, -2, -4, 3],\n [7, -2, -10, -1, -7, 1],\n [8, 2, -5, 5, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 7, 0, 0],\n [-10, 3, 7, -9],\n [-9, -6, 9, -8],\n [1, -2, 0, 5]]\nB =\n[[1, 10, -7, 7],\n [4, 2, -9, -2],\n [1, 10, 2, 6],\n [2, 8, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, 7, 6, 2, -3],\n [3, 0, -6, -10, 3],\n [7, 7, -4, -3, 9],\n [9, -6, -5, 5, 9],\n [-10, -5, 9, 4, 6],\n [2, 9, 2, -4, -4]]\nB =\n[[2, -3, 3, 5, 8, 5],\n [2, 7, 7, 9, 7, -6],\n [-3, -5, -3, 1, -9, 2],\n [-1, -1, 2, 1, -4, -10],\n [-8, -4, -4, -10, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 9, -4, 10, -1],\n [-8, -8, -9, -6, 1],\n [7, 8, 0, 1, 3],\n [2, 8, 7, -9, -2],\n [-1, 9, 3, -3, -6]]\nB =\n[[1, -8, 0, 10],\n [-2, -3, 4, -1],\n [-9, 3, -9, 1],\n [6, -1, 2, 8],\n [7, 0, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, -8, -10, 4, 4],\n [-7, -2, 2, 3, -10],\n [-5, -1, -8, 2, -2],\n [-5, 9, -9, -5, 8],\n [1, -10, 8, 2, 4]]\nB =\n[[5, -3, -7, 2, -10],\n [-6, -4, -5, -5, -8],\n [-1, -1, 4, -9, 3],\n [-10, 0, 6, 10, 7],\n [-9, 1, 2, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, 0, 5],\n [-4, -10, 8, 6],\n [-9, -2, -10, -9],\n [4, 5, 10, 8],\n [-10, 6, 4, 3]]\nB =\n[[-2, 7, 10, -6],\n [-10, -3, -7, -2],\n [3, 6, -6, -10],\n [3, -7, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, -4, 2],\n [-6, 9, 6, -9],\n [9, -2, -6, -3],\n [-2, -2, -4, 0],\n [-7, -3, 6, 9]]\nB =\n[[-6, -4, -3, 2, 3],\n [0, -2, 5, -1, 9],\n [0, 3, -6, -6, -7],\n [-9, -6, 1, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 8, -10, 10],\n [8, 4, 0, -5],\n [-1, 10, -3, 10],\n [10, -8, 8, -8],\n [-8, -6, 6, -2],\n [-3, -1, -7, -7]]\nB =\n[[5, -5, -3, 5, -5, -7],\n [-1, -10, 6, 9, 9, 3],\n [-3, -2, -4, 8, -7, 9],\n [-7, 7, -7, 9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2580", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 10, 9, -4],\n [-6, -4, 10, -10],\n [9, 2, 4, 5],\n [-6, 8, -10, -4],\n [1, -3, -5, 8]]\nB =\n[[-7, 1, -10, -5, 4, 1],\n [-9, -8, 8, -7, -5, -6],\n [6, -3, -4, -2, -4, -2],\n [6, 10, -6, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -8, -4, 10, -7, 1],\n [-8, -2, 8, -6, -8, 1],\n [-3, -10, -10, 2, -3, -2],\n [6, 2, 8, 10, 6, 10],\n [8, -7, 10, -8, 4, 8],\n [8, 2, -5, -6, -8, -9]]\nB =\n[[1, 2, -2, 1],\n [3, -7, 10, 9],\n [5, -8, -8, 5],\n [-5, -9, -6, 8],\n [2, -7, -1, -5],\n [-1, 6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1916", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[4, 7, 4, -9],\n [7, 8, -8, 4],\n [-9, 6, -5, -5],\n [-7, 1, 10, -7],\n [5, 9, 2, 10]]\nB =\n[[-2, -1, 2, 8],\n [1, -6, 4, 3],\n [-3, 2, -8, -6],\n [2, -3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, -5, -7, -3, 4],\n [-1, -4, -2, -7, -8, -7],\n [-6, -3, -3, -10, 2, 1],\n [9, -8, 3, -3, 0, -3],\n [9, 2, -9, 9, -8, -9]]\nB =\n[[-7, -6, 3, -9, -3],\n [-9, -1, -5, 3, 9],\n [-4, -3, 1, 9, 4],\n [-1, 0, -1, 2, 0],\n [9, 7, 6, -9, 9],\n [10, 0, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1559", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 1, -9, 7, 2, 6],\n [9, -5, -4, -10, 2, 1],\n [-9, -1, 4, -5, 0, -8],\n [7, -2, 6, -5, 9, -10]]\nB =\n[[-1, -6, 10, 9, 3],\n [7, 0, -2, -10, 4],\n [-2, 4, 4, 8, -6],\n [-9, 10, -9, 5, 10],\n [-10, 0, -10, 7, 0],\n [6, 10, 5, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1826", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -7, -5],\n [-7, 8, 6, -2],\n [1, 10, 1, -10],\n [5, -3, 3, 1],\n [1, -5, 5, -1]]\nB =\n[[-2, -10, -3, -4, 6, 5],\n [2, -1, 6, -7, 3, 6],\n [-5, -8, -8, 1, 1, 10],\n [3, -10, -2, -4, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -7, 8, 0],\n [2, 6, -1, -9],\n [9, -4, -4, -3],\n [-5, -9, 1, -10]]\nB =\n[[-5, 6, 10, -9, 1, 7],\n [9, 0, 10, 7, 2, -8],\n [2, 0, -5, -7, 0, -2],\n [-10, -5, 0, -8, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[8, 6, 5, 4, -5],\n [-3, -2, -10, -6, -7],\n [-5, 10, 5, -1, 10],\n [-8, -2, 0, 8, -9]]\nB =\n[[4, 6, -1, 10, 8],\n [5, 7, -7, -2, -10],\n [0, -6, 4, 10, -1],\n [-3, -6, -7, 5, 10],\n [-6, -7, -5, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 1, 7, 0, -9, 0],\n [0, -7, 3, 6, -8, -9],\n [-4, 6, 4, -1, 1, -2],\n [0, 9, -10, 2, 7, -10],\n [-8, 5, 8, -3, 3, -2]]\nB =\n[[0, -6, -1, 1, 7, -8],\n [4, -5, -1, -2, -6, -5],\n [6, 0, -6, 5, -3, 6],\n [-4, 4, 0, 6, 2, -7],\n [9, 7, 3, 10, -7, -7],\n [-3, -2, 4, -10, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1927", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, -2, 6, 0],\n [8, 1, 10, -6, -5],\n [10, 4, -8, 3, -7],\n [-5, -7, 8, 10, -7],\n [-2, -5, 0, 1, 7],\n [-9, -1, 1, 5, 3]]\nB =\n[[7, 4, -5, -2, -1, 10],\n [8, 6, 3, -6, -2, -7],\n [9, -2, -6, -4, 6, 3],\n [1, -7, -10, -2, 6, 3],\n [-8, -9, -1, 2, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 3, -9, 9, 9],\n [6, 2, -7, -7, -9],\n [0, 8, 5, -7, -7],\n [1, -7, 5, 2, -10],\n [9, -3, 8, -7, 5]]\nB =\n[[-7, 5, 9, 1],\n [4, -5, -1, 8],\n [-1, 7, 8, -9],\n [-6, -1, -3, -3],\n [-4, 7, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -3, 2, -1, -9, 4],\n [1, -3, 0, 9, 7, 4],\n [5, 9, 7, -5, 7, 1],\n [-6, -10, 6, -1, 1, 1],\n [4, 2, -4, -10, -2, 8]]\nB =\n[[-5, 7, 9, -7],\n [-6, 3, 2, 1],\n [9, -9, 8, -10],\n [4, -1, 4, 4],\n [-10, -2, -8, -7],\n [-9, -5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-564", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, 10, -3, -3, -5],\n [-5, -3, 4, -8, 8, -10],\n [-7, -3, -5, -4, 8, 3],\n [10, 7, -6, 9, -8, 5]]\nB =\n[[10, 4, 0, 0],\n [-1, -9, 7, -9],\n [-6, 8, -4, -3],\n [-7, -10, 2, 0],\n [0, -6, 6, 8],\n [7, 8, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 4, 4, -2, -4],\n [7, -8, 8, 5, -4],\n [8, -5, 10, 7, -6],\n [-7, -6, -6, 3, 0]]\nB =\n[[5, 2, 1, -8, -10, -5],\n [6, 7, -9, 10, 1, 0],\n [-3, -6, 10, -9, 4, 10],\n [1, -4, 1, 1, -5, 6],\n [3, 1, -1, -4, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1619", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[9, 10, -6, 3, 10, 3],\n [-1, 6, 0, 5, 5, 0],\n [4, 6, -5, -8, 7, -9],\n [2, -1, -5, -4, 6, 9],\n [8, -8, -6, 8, 3, 1],\n [1, 5, 1, 4, -1, 7]]\nB =\n[[9, 1, -3, 9, 7],\n [-4, -10, -2, 8, 3],\n [10, -2, 5, -1, -3],\n [-1, -7, -3, 7, 2],\n [2, 9, -10, -2, 9],\n [4, -3, -6, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[10, -10, -7, 9, 4, -4],\n [2, 2, -5, 10, 8, 3],\n [-1, 2, -2, 3, 0, 10],\n [-9, -1, -5, 8, 10, 2],\n [2, 4, 3, -5, 3, -10]]\nB =\n[[-3, 7, -1, 10, -1],\n [-1, 3, 6, 10, -9],\n [6, 8, -1, 8, 2],\n [6, -6, 4, -6, 9],\n [-6, -3, -7, 10, -4],\n [-3, 10, -8, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-8, 10, 5, 3, 7],\n [-1, 10, 4, 1, 1],\n [-6, 6, 7, 4, 4],\n [-6, 8, -5, 5, -7]]\nB =\n[[7, -8, 0, 4],\n [1, -4, 2, 10],\n [-5, 2, -7, -3],\n [2, -6, -5, -1],\n [3, 2, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 1, 0, -3, 3],\n [0, -2, -4, 3, 2],\n [4, -6, 3, -7, -5],\n [-9, -7, 2, -3, 1],\n [5, -3, 0, 3, 10],\n [6, 6, 0, 0, -6]]\nB =\n[[-3, 5, 6, -3, 6, 4],\n [4, 2, 10, 2, -9, -9],\n [-7, -8, -2, 4, 6, 0],\n [5, 4, 10, -7, 4, 1],\n [7, 1, -4, -8, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -10, 10, 6],\n [2, -6, 7, -1, -8],\n [0, 3, -7, 2, -7],\n [6, -2, 1, 0, -9],\n [-4, 3, -4, 1, 5],\n [8, -9, -6, -9, 10]]\nB =\n[[9, -3, -4, -5],\n [7, -3, 5, -5],\n [9, 1, 9, -8],\n [2, 10, -2, 8],\n [-7, -10, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 6, -2, 4, 8],\n [-9, -7, -5, 10, -8],\n [-8, 6, -8, -7, -5],\n [-7, -3, 1, -1, -10],\n [10, -5, -6, -5, -7],\n [2, 0, -1, -6, 5]]\nB =\n[[1, 7, -5, 8],\n [-3, 7, 10, 3],\n [-4, -2, 3, 10],\n [10, -9, 10, -10],\n [-9, -10, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[3, 9, 2, 10, -1],\n [-10, 10, -5, 5, 0],\n [-10, 1, 6, -8, 1],\n [0, 3, -9, 0, -9],\n [-8, -1, -3, -4, 4]]\nB =\n[[-9, -5, 3, -7, -7],\n [-2, -10, 6, -8, 10],\n [-6, 6, 4, 0, -9],\n [1, -9, 2, -7, 10],\n [-7, -6, -10, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[0, 6, -7, 1, 2, -9],\n [-7, 5, 2, 5, 4, -9],\n [5, 10, -6, -8, 5, 7],\n [-2, 6, -2, -7, 9, -4]]\nB =\n[[-4, -2, 2, 9, 2],\n [6, 7, 6, -8, -7],\n [-5, -3, -7, -2, -6],\n [4, -5, -9, -3, 2],\n [-5, -9, 5, -7, 5],\n [7, -5, 0, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-3, 3, -5, -1, -1, 7],\n [6, -2, -8, -6, -1, 7],\n [-2, 5, 1, -6, -6, 7],\n [-1, 6, -3, 2, -2, -8],\n [4, 0, -6, 1, -4, -3],\n [-1, 8, 5, 0, -6, 3]]\nB =\n[[1, 6, -6, -5],\n [-6, -8, 6, 3],\n [4, -2, 2, -2],\n [2, 1, -10, 5],\n [4, 8, -6, 1],\n [-9, -2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 3, 5, -2],\n [8, -4, -9, 6],\n [-8, 7, -5, 9],\n [-8, -10, -1, 10],\n [-7, 10, -6, 8],\n [-1, -8, -2, -1]]\nB =\n[[-3, 10, -2, 9, -3, 0],\n [-10, -5, 7, -2, 9, 9],\n [-5, 7, 0, -2, -8, -5],\n [-6, -7, 10, -7, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2638", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -9, 0, 2, -7],\n [-4, 10, 0, -3, -1],\n [-3, -8, 6, -8, 9],\n [1, 10, -3, 10, -5],\n [-2, 10, 1, 0, 0]]\nB =\n[[-2, -8, 8, -7, -4],\n [-1, -3, -7, -2, 9],\n [-6, -1, 0, -10, -4],\n [-1, 6, 2, 3, 10],\n [1, 8, 10, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 10, -9, -7],\n [10, -3, -10, 8],\n [8, 6, 9, -6],\n [9, 0, 10, -6],\n [7, 9, 10, 10]]\nB =\n[[-7, -10, 5, -2, 0, 1],\n [8, 3, 10, -4, -2, 9],\n [-2, -5, 8, -1, -3, -5],\n [-6, 0, 7, 10, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2243", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 3, 5, -5],\n [5, 4, 10, 0],\n [3, -2, -3, 10],\n [4, 2, -10, -6],\n [-8, 8, 7, -1]]\nB =\n[[-8, -6, -10, -5, 9, 7],\n [-3, 2, -8, -8, -3, -5],\n [-3, 5, -7, -1, 9, 8],\n [-9, -3, -1, 7, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 3, 9, 4, 0],\n [2, 3, 7, -9, -1],\n [-6, 3, -7, 4, 5],\n [1, 5, 10, 8, -9],\n [-4, 9, 7, -4, 8]]\nB =\n[[-9, -9, -8, 5, 2, 6],\n [9, 9, 4, -8, -8, -4],\n [5, 9, -7, -5, 5, -1],\n [8, 3, 0, 6, 6, -8],\n [6, 5, -3, -4, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 1, -8, 10, -4],\n [-9, 4, 4, -8, 10],\n [1, 8, -2, -10, -8],\n [7, -10, 5, -10, -2],\n [-6, -1, 6, 7, 0]]\nB =\n[[8, -3, -1, 9, 6],\n [-9, -6, 6, 1, 1],\n [-1, -7, 6, 9, 4],\n [9, -5, 6, 9, -8],\n [-1, 3, 8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-385", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, -3, -3, 8, -7],\n [2, -5, 1, 1, -7],\n [1, -9, -6, 8, -5],\n [2, -4, 9, -5, -1]]\nB =\n[[-1, 8, -5, -6],\n [-5, -9, 1, 1],\n [7, 4, -4, -4],\n [-5, 6, -2, -4],\n [-5, -5, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -6, 6, -8, -4, 3],\n [9, 0, 6, 1, -5, -9],\n [-6, -4, 7, 0, -10, 9],\n [-4, 9, 10, -5, 6, -5],\n [-2, -7, 0, -7, 9, -3],\n [5, 4, -10, -1, -5, 7]]\nB =\n[[7, -9, 0, -10, 5],\n [-1, -1, -9, -1, 6],\n [-5, 8, 2, -2, 0],\n [0, -1, 7, 5, 6],\n [10, 10, -7, -10, -4],\n [4, 1, 5, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, -1, 5, -5, -3],\n [-4, 6, 2, -3, 9, 4],\n [-4, -10, -9, 5, 6, -9],\n [6, -9, 8, 0, 5, -9],\n [6, 7, 9, -8, 2, -6],\n [-10, 4, -7, -7, -10, 3]]\nB =\n[[-6, 6, 9, 6],\n [6, 9, -6, -1],\n [6, 1, 8, -4],\n [5, -7, -7, 9],\n [5, 5, 6, 10],\n [-9, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -4, 10, 0, -7, -9],\n [6, 9, 0, 8, 10, -6],\n [2, -8, 4, 5, 1, -6],\n [8, 0, 9, 4, -10, 6]]\nB =\n[[-7, -7, -2, 10],\n [-8, -5, -5, 3],\n [3, 6, 4, 6],\n [-10, 4, -7, 4],\n [7, 0, -7, 2],\n [9, 10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-328", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -8, -8, 3, -9],\n [-6, 3, -2, -8, 3],\n [-2, -4, -10, -2, -7],\n [4, -5, 8, 4, 6],\n [3, -8, 7, 8, 6],\n [-3, 6, 7, 6, 9]]\nB =\n[[7, 9, -6, -3, -7],\n [-1, -4, 8, 5, -2],\n [7, -6, 5, 2, 0],\n [-8, -9, 1, 3, -10],\n [-4, -7, 7, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -7, -6, -6, 6, 7],\n [-4, 0, 2, 3, 0, 8],\n [-5, 4, -10, -9, -1, 3],\n [3, 10, 4, -6, -8, -10]]\nB =\n[[3, 5, 4, 4, 0, -5],\n [6, 2, 10, 7, -7, -5],\n [-5, -3, 8, 4, 0, -4],\n [10, -8, 10, -7, 8, -3],\n [1, -4, -10, 6, -9, 1],\n [8, 3, 4, 7, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[3, -2, -10, -10, -6],\n [-4, -7, 7, -10, 3],\n [4, 9, -8, -5, -2],\n [-1, 1, 10, 5, -3],\n [6, 7, 0, 1, 7],\n [5, -3, 2, -1, 1]]\nB =\n[[-4, 2, -2, 4],\n [8, -6, 4, -6],\n [8, 2, -6, -3],\n [10, 4, -5, -10],\n [6, 4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -5, -1, -9, 8],\n [-10, -3, 8, -10, 8, 5],\n [-8, -10, 6, 4, 10, -3],\n [-2, 3, -4, -9, 3, -4],\n [-2, -6, 7, -10, 7, -10],\n [8, -7, -3, 10, 5, -3]]\nB =\n[[-3, 10, 4, -2, 1],\n [-10, -3, 4, 4, -5],\n [3, -1, 9, 9, 1],\n [-5, 3, 0, -4, -10],\n [-1, -3, -5, 9, 2],\n [-10, 9, -3, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "688", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 8, -6, 8, -1],\n [1, -6, -10, 3, -4],\n [6, 1, 6, 9, -6],\n [2, -1, 7, -7, -7],\n [3, -2, 9, -6, 8],\n [10, 5, 10, -3, 2]]\nB =\n[[-7, -8, 0, -4, -3, 3],\n [-1, -7, 8, -7, 7, -1],\n [2, -8, 6, 4, 10, 9],\n [-9, 6, -5, 3, 7, -2],\n [0, 2, -2, -3, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[-8, 3, -1, 4, 5, -8],\n [2, 4, -9, 1, 2, -3],\n [-9, -4, -9, 6, 10, -1],\n [-10, -6, -8, -6, -5, 8],\n [-3, -9, -7, -6, 2, 9]]\nB =\n[[10, -7, -5, 5, -7, 8],\n [5, -7, 6, -8, -5, -5],\n [3, 10, -9, 6, -8, -2],\n [2, 7, 4, -6, -8, -8],\n [-6, 0, -10, 8, -7, 7],\n [-10, -6, -7, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[8, 8, 7, -9, 9],\n [6, -10, 10, -9, -6],\n [-3, -3, -6, -9, -2],\n [8, 2, -4, 8, 1]]\nB =\n[[-5, -9, -3, 9, -4, -10],\n [-9, -1, -8, 0, 0, 0],\n [5, 5, -6, -10, -8, 7],\n [-5, -4, -1, -1, -4, 4],\n [-4, -4, 9, 9, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, 1, -7, 4, 10, -4],\n [-5, 5, -7, -9, 2, 1],\n [-10, -5, -10, -8, -4, 0],\n [-4, -9, 5, -10, 10, 4]]\nB =\n[[4, -5, 6, -8, -2, -2],\n [10, 8, 0, 4, -6, 2],\n [5, 6, 10, -9, -10, 5],\n [-1, -8, -9, -4, -2, -5],\n [-4, 1, 6, -4, -3, 2],\n [2, -10, 0, -5, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 7, 7, -5, -4, 3],\n [-9, 4, 8, -5, -5, -1],\n [9, -5, 7, -2, -3, -4],\n [5, -10, -4, 10, 0, -8],\n [0, -6, 5, 6, 8, 8]]\nB =\n[[0, -6, -7, -7, -6],\n [10, 1, 6, 10, -5],\n [2, 9, -6, -7, 2],\n [6, 0, -5, -8, 6],\n [-1, 9, 9, 5, 7],\n [-8, -7, 8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1754", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[5, -1, -1, -3, -9, -7],\n [-6, 1, 2, -1, -8, 5],\n [-7, -1, 10, 2, 9, -8],\n [-4, -10, 3, -5, -5, 6],\n [-9, -1, 4, 0, 2, 7],\n [10, -9, -2, -4, -10, 9]]\nB =\n[[4, -3, 2, -9],\n [-4, -9, 5, 0],\n [-7, 1, 4, 6],\n [2, 0, 6, -7],\n [9, 1, -2, -8],\n [1, -1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -1, 5, -5],\n [1, 10, -2, -10],\n [9, 0, -8, -10],\n [9, -5, -10, 4]]\nB =\n[[7, -7, -9, 6, 6],\n [-10, 9, 10, 1, 3],\n [-8, 4, -8, 4, 4],\n [4, 6, 4, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-3, -5, -1, -2, 2, -6],\n [0, 4, 3, -1, 6, -8],\n [1, -2, -9, -10, 3, 0],\n [1, 9, 6, -2, 9, 3],\n [-2, -7, 1, 0, 2, -3]]\nB =\n[[1, 2, -10, 7],\n [-6, 10, 6, 1],\n [-8, -10, -10, -1],\n [9, -10, -4, -10],\n [2, -8, 8, -3],\n [10, 8, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -9, 6, -5],\n [1, -6, 9, 4],\n [8, -5, 4, 10],\n [9, 4, -5, -8],\n [6, 2, -3, -8]]\nB =\n[[-7, 3, 6, 7, 4],\n [10, -4, 6, -8, -9],\n [-10, -6, -1, -3, -6],\n [1, 9, 5, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1313", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, 1, -3],\n [9, 7, 7, 4],\n [0, 2, 0, -3],\n [-2, 4, 8, -5],\n [6, 3, 2, -10],\n [0, 8, 9, -9]]\nB =\n[[4, -1, 0, 3, 5, -6],\n [-6, 6, 8, 4, 6, 6],\n [6, -1, 6, 9, 9, -3],\n [5, 0, 0, 3, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, 2, 9, 7],\n [-8, 8, -5, -9],\n [3, 5, -2, 2],\n [9, 1, -10, -9],\n [-2, -10, -9, -7],\n [3, 10, -4, 4]]\nB =\n[[-4, 4, 5, -5, 0],\n [-7, -9, -10, 4, 3],\n [2, -3, 9, 6, -9],\n [-6, -8, -1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-10, 10, -2, 9],\n [6, -7, -4, 4],\n [10, 0, -10, 4],\n [-3, 0, 9, -7],\n [4, 7, 9, 9]]\nB =\n[[-3, 10, -9, -2, -7, -1],\n [-10, -1, -5, 6, -6, -1],\n [-1, 9, 8, 4, -8, -4],\n [7, -9, 1, 5, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 4, -9, 9, -3, 9],\n [7, -9, 0, -10, -7, 2],\n [-4, -5, -8, -3, -4, 4],\n [1, 6, 4, -9, 1, -4]]\nB =\n[[0, 9, 8, -5, 0, -3],\n [7, -10, -3, 6, 2, 9],\n [-5, -1, -9, -7, -4, -4],\n [1, 6, -9, -8, -3, -4],\n [-5, 6, -2, 7, -2, 3],\n [-2, -7, 4, -6, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 8, -1, -2, 8],\n [7, -7, -9, 9, -3],\n [-9, 8, -5, 9, 6],\n [1, 2, -5, 6, 8],\n [0, 8, -6, 3, 8]]\nB =\n[[2, -1, 9, -10],\n [9, 10, -8, 7],\n [8, -2, 2, -3],\n [9, 6, 5, 9],\n [8, -5, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2023", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -10, 10, -1, 7, 9],\n [-9, -3, -9, -5, 4, 5],\n [-7, 5, 1, 4, 8, 10],\n [10, 1, 10, -8, -9, -5],\n [2, 3, -10, 1, 0, -7],\n [-4, -9, 1, 10, -8, -1]]\nB =\n[[-6, -2, -3, -1, 10],\n [-8, 1, -2, 5, -5],\n [-4, 0, -4, -1, 6],\n [-5, 9, 2, -9, 8],\n [2, 4, -7, 1, -7],\n [-1, -7, -7, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 10, -6, 10, -1, -4],\n [3, 2, 0, -2, -1, 5],\n [7, -8, -2, -6, 0, -4],\n [3, 9, -6, -6, 2, 0],\n [10, 0, 8, 3, -7, 8]]\nB =\n[[7, 0, 9, -7],\n [-2, -8, 2, 5],\n [-8, -6, 4, -8],\n [-4, 3, -7, -1],\n [-8, 4, 1, -1],\n [2, -4, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -4, 8, -4, -2, 2],\n [-7, -5, -7, 9, 9, -3],\n [0, 0, 6, -6, 2, 3],\n [1, -9, -3, 6, 6, -1],\n [3, 3, 1, -3, 8, 3],\n [-1, 2, 3, -5, 2, 0]]\nB =\n[[-7, 7, -4, 7, 0],\n [-5, -3, 2, -10, -7],\n [-5, 9, -6, -6, 5],\n [-8, 7, 9, 4, 8],\n [8, 3, -3, -7, 6],\n [4, 3, 0, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1791", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 2, -2, -4, -6, 5],\n [1, -7, -8, -6, 2, 9],\n [0, -6, -10, -9, -2, -2],\n [10, 8, -5, 3, 2, -10]]\nB =\n[[-6, -9, 7, 9, -7, 8],\n [9, 1, -10, -2, 4, 6],\n [7, 10, -8, -1, 8, 9],\n [-8, -5, 6, 5, -5, -7],\n [-1, 10, 9, -4, -6, -9],\n [10, -7, -6, 6, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -7, 0, 4, -7],\n [-1, 10, 3, -2, 0, -5],\n [9, 4, 4, 1, 1, -3],\n [-1, 9, 1, -7, 1, 9]]\nB =\n[[-3, -3, 8, 0, -4],\n [-2, -10, 3, -8, -6],\n [10, 7, 2, 9, 6],\n [5, -8, -3, -4, -1],\n [1, -5, -2, 1, -8],\n [10, 10, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-692", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 0, -1, -9],\n [4, -7, 8, -9],\n [7, -10, -8, -9],\n [-6, 6, 5, -9],\n [8, -8, -5, -5],\n [-8, 0, 4, 9]]\nB =\n[[6, -1, -5, -3, 3],\n [1, 1, 5, 4, 0],\n [2, -4, -9, 3, 4],\n [0, 4, 8, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -9, -9, 9, 7],\n [2, 4, -9, 1, 0],\n [-6, 7, 2, 1, 2],\n [-7, -9, -3, 3, -1]]\nB =\n[[-6, -1, -9, 8, -4, 6],\n [2, -10, -6, 6, 1, -1],\n [2, -2, -9, 2, -9, -4],\n [9, 4, 9, -6, 2, 1],\n [-7, -7, 6, 7, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, 10, -6, -6],\n [4, -5, -7, 10, -4],\n [-8, 0, 10, 9, 1],\n [6, 7, 7, 7, -3],\n [6, -9, -9, -3, -1],\n [-2, 10, -10, -9, 3]]\nB =\n[[6, -2, -4, 10, 5, 10],\n [0, 10, 8, -8, 0, -1],\n [5, 7, -5, -7, -4, 9],\n [-8, 1, -4, -1, -8, -5],\n [-9, -8, -3, 3, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, 9, -2],\n [0, -1, -8, 3],\n [-10, 4, -3, 7],\n [7, -2, -1, 5]]\nB =\n[[-5, 8, -3, -4],\n [2, 5, -8, -10],\n [-10, 8, -4, -9],\n [2, 5, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 10, -8, 0, 5, 0],\n [4, -6, -10, 5, -8, -4],\n [6, 4, -3, 10, 8, 6],\n [-6, 9, 10, 3, 5, 6],\n [-5, -8, -10, 1, -10, 7]]\nB =\n[[10, -4, -6, 0],\n [1, 10, 5, 7],\n [-2, -1, 7, 0],\n [1, 6, -7, -10],\n [-2, 10, -8, -3],\n [-2, 3, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 9, -2, -1, 5],\n [1, -4, 9, 7, 2],\n [-3, -5, 1, -1, -9],\n [0, -2, -10, -1, 4],\n [6, -8, 7, 7, -5],\n [10, 3, 2, 5, 0]]\nB =\n[[8, -7, 10, -8],\n [7, -9, 1, 6],\n [-3, 2, 5, -9],\n [6, 0, -9, 7],\n [-7, -8, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 10, -1, 7, 0],\n [8, -5, 3, -4, 6],\n [-6, 1, -5, -5, -10],\n [1, -6, -7, -9, -9]]\nB =\n[[9, -10, -4, 5, -6],\n [-6, -6, -7, -2, -6],\n [2, -2, 0, 6, -2],\n [5, -8, -9, 1, -10],\n [6, 6, -5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -4, -2, 0, -3, 2],\n [-9, -4, -4, 3, 9, 7],\n [-8, 10, 4, 0, -1, 5],\n [-6, -6, -4, 9, 4, -4],\n [-4, 0, -4, 8, -8, 6],\n [-8, 2, 6, 1, 0, -10]]\nB =\n[[5, 4, -7, 9],\n [7, 10, 7, 6],\n [-7, 3, -10, -1],\n [-3, -1, 1, 3],\n [-5, 7, 7, 4],\n [-10, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -4, 9, 2, -6],\n [9, -2, 1, 1, 6],\n [-6, 4, 9, 2, 10],\n [5, 1, 4, 3, 1],\n [2, -1, 5, -5, 0],\n [-9, -10, 4, 5, -2]]\nB =\n[[-8, 7, -7, -3, 6, 4],\n [-2, -4, 2, -10, -1, 9],\n [-9, -8, -1, -1, -1, -2],\n [10, -7, -2, 4, -6, -10],\n [-2, -8, 3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 7, 6, -1, -6, 9],\n [-8, 7, -10, -2, -7, 0],\n [-4, 9, -3, -2, 5, -8],\n [6, -1, -8, 6, -3, 4]]\nB =\n[[-5, 1, 9, 0, 6],\n [-4, 0, 8, -3, 2],\n [1, 1, -2, -9, 1],\n [-3, -4, 5, 7, -5],\n [-4, 2, 7, 7, 8],\n [-3, 5, 4, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[1, -5, -7, 0, -6],\n [10, 8, 5, 3, 10],\n [-5, -4, 6, -2, 5],\n [-3, 6, -1, 4, 8],\n [-3, -9, 0, -4, 7]]\nB =\n[[3, -3, -6, -5],\n [-2, -5, -5, -8],\n [-6, 0, 6, 0],\n [-7, -7, 7, 7],\n [8, -3, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -3, -5, -5, 2, 7],\n [-5, -1, -8, 1, -8, -1],\n [10, -3, -4, -9, -9, -1],\n [9, -5, -4, 6, -1, -6],\n [2, -10, 10, 5, 4, -7],\n [-8, 5, -8, 9, -7, -5]]\nB =\n[[3, 8, -6, -9, 3],\n [-9, -8, -1, 6, 5],\n [-6, 9, -1, 9, -8],\n [-3, 5, -2, -1, 1],\n [-9, -2, 9, 4, 7],\n [4, -2, 8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2345", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 10, -4, 4, -6, -1],\n [4, 6, -7, -6, -2, -4],\n [-10, -1, -9, 0, -7, 8],\n [9, 2, -8, 4, -5, 0],\n [-2, -3, 4, -7, -10, 3]]\nB =\n[[-1, -9, -9, 4, 8, 3],\n [6, 0, 5, 4, -2, 3],\n [-7, -7, 2, 10, 7, -8],\n [-5, 9, 9, 9, 8, 7],\n [8, 9, -8, -8, 7, 9],\n [-1, 4, -5, 3, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[9, -6, 1, -6],\n [-4, -3, -9, -6],\n [8, 5, 7, 0],\n [2, 4, 2, 9],\n [-7, 5, 6, -4]]\nB =\n[[-6, -10, 2, -4, 2, 0],\n [0, -2, 7, -5, 7, 1],\n [5, 0, -4, 8, -1, -6],\n [8, 9, 0, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 7, -8, 7, 2],\n [-6, 7, -4, 9, -5],\n [10, 0, 10, 1, 2],\n [0, 7, -5, 7, 2],\n [10, -9, -7, 3, 7]]\nB =\n[[5, 8, 7, 4],\n [-8, -7, -5, -8],\n [-9, 0, -3, 8],\n [10, -7, -4, -9],\n [3, -6, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -9, 2, -5],\n [5, -4, -1, -8],\n [-6, -2, 1, 1],\n [-4, -6, -7, 4],\n [10, 8, 7, 0],\n [-6, -2, 7, -6]]\nB =\n[[-1, -4, 10, -8, -6, -7],\n [-1, 5, 2, -5, 9, 10],\n [5, -10, -8, -9, 1, -10],\n [-5, 1, 9, 6, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 8, -9, -8, 6, -6],\n [-9, 4, -10, -9, 7, 3],\n [-10, -9, -8, 4, -5, -2],\n [-10, -7, 9, 4, 5, -5],\n [0, -6, -7, 1, -8, -9]]\nB =\n[[5, -1, -2, -4],\n [9, 3, -1, 1],\n [7, 3, -3, -1],\n [-2, -9, -2, 2],\n [0, 8, 6, -4],\n [-10, -6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, 2, 7],\n [3, -8, -5, 6],\n [-9, -3, 10, -3],\n [10, 10, 8, -8],\n [-6, 9, 1, 5]]\nB =\n[[-5, -6, -3, -1, -10, 2],\n [1, 8, 6, -8, -10, -4],\n [8, 10, -7, -3, -4, 7],\n [-5, 10, -1, -6, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[1, 10, -3, 2],\n [3, 5, 5, 9],\n [5, 9, 10, -8],\n [-3, -3, 6, 4]]\nB =\n[[-5, -10, -10, -9],\n [8, 1, -3, 10],\n [2, -1, -5, 2],\n [1, -6, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -7, -9, 1],\n [-6, -9, 9, -9],\n [-10, -10, 4, -3],\n [-6, -5, 10, 4],\n [-6, -6, -6, 8]]\nB =\n[[-2, 10, 2, 2, -6, -5],\n [-8, -4, 0, 0, 3, -5],\n [-3, -8, 2, 1, 9, -9],\n [-5, 10, -1, -6, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -4, -7, 9, 6, -5],\n [-2, 4, 1, 4, -5, 6],\n [8, 5, 9, -4, -7, 1],\n [8, 8, -9, -1, 4, -2]]\nB =\n[[-3, -1, 9, 1, 2],\n [-9, 6, -3, -4, 2],\n [1, 8, 2, 6, -6],\n [3, -2, -10, 3, 9],\n [4, -8, 9, -4, 5],\n [2, -9, -2, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 2, -6, -8],\n [6, 10, 5, 6],\n [5, 1, 0, 5],\n [9, 1, 4, 4],\n [1, 5, -2, -8]]\nB =\n[[5, 9, 2, -7],\n [7, 2, 2, -1],\n [-2, 8, 0, -4],\n [2, -9, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 7, -9, 2],\n [-10, 5, 8, 9],\n [-6, 4, 0, 5],\n [1, -2, -3, 3],\n [-9, -2, -6, 7],\n [4, 6, 10, -4]]\nB =\n[[1, -7, 6, -5, -8],\n [2, -6, 10, 0, -6],\n [5, 9, -7, -10, 9],\n [-10, -9, 0, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -3, -5, 7, -8],\n [9, 2, -8, 9, -3],\n [-9, 8, 5, -4, 3],\n [6, 8, -10, 7, 3],\n [5, -10, 9, -7, -3],\n [3, 6, -5, 3, -8]]\nB =\n[[-9, 3, -7, -10, -1],\n [10, 6, -4, -7, 10],\n [-10, 2, 8, 0, 8],\n [6, 4, -10, 4, 0],\n [5, 6, 2, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -4, -10],\n [-2, 8, -1, 6],\n [-7, -4, -5, -10],\n [2, -10, -4, -10]]\nB =\n[[-8, 7, -9, 1, 3],\n [7, 8, 10, -2, -2],\n [-8, 2, -8, -4, -3],\n [2, 1, -9, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, 9, -5, 3, 3],\n [6, -5, 6, 2, 8],\n [0, -10, -4, 5, 6],\n [8, -2, 1, -7, -8]]\nB =\n[[-6, -9, 4, 5],\n [4, 4, 10, -4],\n [5, -4, -10, -2],\n [0, 5, -10, 5],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 1, 2, 6],\n [-9, 9, 1, 8],\n [3, 2, 2, -6],\n [5, 7, 10, 4]]\nB =\n[[-1, 3, 1, 7],\n [-4, 10, -9, 8],\n [-1, -8, 7, 9],\n [-9, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -2, -9, 9, 4, -1],\n [5, 0, -2, 9, -3, -3],\n [-8, -9, 5, -6, 7, -5],\n [-1, 2, 9, 0, 2, 3],\n [8, 2, -9, -5, 9, 9],\n [-4, 10, 6, 6, -7, 3]]\nB =\n[[2, -8, 3, 0],\n [9, -3, 10, -7],\n [-7, -8, -4, -7],\n [-5, -7, 10, 8],\n [3, -2, -5, 7],\n [-6, 8, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1886", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 3, 6, 10, 7, -9],\n [-10, 6, 5, -6, -9, -8],\n [-7, -1, 8, -3, 8, 6],\n [8, -10, 2, -8, -9, 8]]\nB =\n[[8, -10, -8, 7, -5, -4],\n [4, -2, 10, 10, -1, 6],\n [8, 7, 6, 6, -6, -1],\n [-6, 8, -9, 2, 0, 5],\n [-8, 2, 7, -6, -10, -7],\n [1, -1, 6, 2, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2290", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, 2, -6],\n [4, 8, -8, -7],\n [9, 8, -5, -5],\n [9, 0, 4, -8],\n [-4, -7, -1, 5]]\nB =\n[[2, -2, 5, -9, -3, 1],\n [-7, 3, 10, -5, -6, -10],\n [-3, 2, -7, 1, -9, 7],\n [-6, 6, 7, -10, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -2, -4, 5, 8, 2],\n [5, 10, 9, 4, -8, 1],\n [2, -5, -8, 1, -10, -8],\n [0, -2, 1, -1, 5, 6]]\nB =\n[[-8, -6, 3, 5, 7, -9],\n [1, -2, 8, 7, -8, -1],\n [1, -1, 7, 9, 6, -2],\n [3, 8, 6, -7, 7, -4],\n [0, -7, 5, 8, 7, 5],\n [3, -9, -8, -5, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -9, -6, 2, 5],\n [-3, -9, -5, -8, 5],\n [5, -4, 8, -6, -8],\n [2, -7, 4, 8, -3],\n [8, -3, -5, 2, 4]]\nB =\n[[-7, 7, 6, 10, 6],\n [0, -3, -10, 1, 6],\n [-5, 1, -2, 9, 10],\n [4, -1, 8, 3, 4],\n [3, -1, 10, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2030", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, 5, 7, -9, 0],\n [-4, 10, 7, 6, -4, 5],\n [-8, 6, 9, 7, 0, -1],\n [5, -5, 9, 3, -1, -2],\n [-7, -2, 8, 2, -9, -4],\n [4, 5, 7, -1, 10, 6]]\nB =\n[[-1, 7, -3, 7],\n [2, 7, -10, 1],\n [-4, 8, 6, -2],\n [-10, 5, -10, 5],\n [-2, -8, 1, -2],\n [-7, 5, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-10, -8, -8, 10, -8, 10],\n [2, 10, 1, -9, 2, 3],\n [-5, 0, 7, 3, 0, -2],\n [6, 0, 3, 3, -10, 4],\n [-6, 3, -2, -2, -2, -10]]\nB =\n[[2, 5, -9, 8, 0],\n [3, 7, 8, -6, -9],\n [-3, 7, -7, 8, -3],\n [3, -1, 0, -9, 3],\n [6, -5, 8, 5, 1],\n [2, -6, 8, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -10, 5, 9, -3, 0],\n [-8, 6, 0, 10, -1, 2],\n [6, 5, 9, -3, -1, 2],\n [1, 2, 4, -3, -8, -6],\n [3, 8, -1, 8, 2, 5],\n [0, 2, -5, 5, -1, 2]]\nB =\n[[2, 9, 9, 8, 9],\n [-2, 3, -2, 8, 8],\n [-6, 8, -9, 8, -9],\n [-5, -5, -6, -10, -4],\n [-8, 0, 7, 4, -6],\n [-7, 0, -5, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1934", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, 4, 1, -2],\n [1, 2, 1, -5, 3],\n [-7, -10, 5, -2, -1],\n [-3, 2, -10, 0, 2],\n [10, -5, 2, 1, 0],\n [-4, -8, 6, 10, -4]]\nB =\n[[8, -3, -7, -1],\n [-7, 10, 0, 5],\n [-10, -1, -4, -10],\n [4, -4, 7, -2],\n [-3, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -7, 2, 1, 2],\n [-5, 3, -1, 2, 10],\n [3, 3, 0, -2, 9],\n [-10, 3, -4, -8, 9]]\nB =\n[[5, -6, -6, 4, -1],\n [3, -4, -6, -8, 4],\n [3, -8, 3, 2, 2],\n [-10, 8, 10, 3, 10],\n [9, -4, 0, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "473", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 7, 5, -1],\n [3, -7, 8, -2],\n [-7, -8, -8, -7],\n [4, -7, 2, 8],\n [-1, -8, 0, 2],\n [0, 4, -9, -10]]\nB =\n[[-5, -7, 2, -10, 9, -4],\n [-2, -10, 1, -2, 4, 8],\n [1, -5, -5, 0, -7, 4],\n [4, 2, -6, 9, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[5, -7, 2, -4, 7],\n [-4, -5, -3, -5, -8],\n [0, 3, 5, -5, 2],\n [-6, 8, 5, -4, 6],\n [0, 2, -2, 8, -8]]\nB =\n[[-3, 10, -9, 10],\n [1, 6, -9, -3],\n [8, 3, -7, 4],\n [-9, 5, -8, 6],\n [1, 3, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 6, 3, 0],\n [5, 7, -3, 4, 5],\n [4, -4, 8, 4, 8],\n [0, 0, -1, 10, 6],\n [1, -6, -7, -8, -9],\n [8, -6, 9, -1, -4]]\nB =\n[[-10, 0, -3, 7, -2, 1],\n [8, -6, 1, 9, -1, 8],\n [1, -1, 2, -2, -8, -3],\n [-4, 6, -1, 4, 9, 10],\n [8, 9, -5, 0, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 2, 1, -1, 2],\n [8, 10, -8, 6, 5],\n [2, 5, 3, 4, -4],\n [1, 3, 1, -4, 1]]\nB =\n[[-4, -2, -5, 8],\n [-3, 6, -1, 5],\n [5, 10, -4, 3],\n [4, 8, -4, -2],\n [-10, 2, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 2, -5, -3, 1, -8],\n [10, 5, -1, -4, 3, -8],\n [-1, -2, 2, 9, 5, -1],\n [0, 8, -5, 8, 3, -1],\n [7, 9, 6, -6, -4, 9]]\nB =\n[[-7, -7, -5, -1, 9],\n [-5, 8, 9, 4, -10],\n [5, 6, -6, 10, -9],\n [4, 5, 6, 0, 6],\n [-10, -1, 1, -8, 9],\n [8, -7, 5, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1714", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 10, 0, 3, 6],\n [1, 9, -5, 7, -9],\n [1, 2, -7, -9, 3],\n [-4, 10, -5, 8, -8],\n [-1, 1, -5, -6, -4],\n [-1, -10, -8, 5, 8]]\nB =\n[[-6, 8, -3, -8],\n [-8, 3, -1, -2],\n [9, 1, -4, 4],\n [-7, -8, 4, -8],\n [-7, 6, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[5, 3, -3, 2, -8],\n [-5, 1, -7, -1, 9],\n [-10, 4, 1, -9, 1],\n [5, -9, -4, -5, -9]]\nB =\n[[-8, -1, 7, 1, -7, 10],\n [-5, 6, 1, -4, 8, -10],\n [9, 10, -8, 1, -1, -2],\n [-5, 8, -5, 2, -10, -7],\n [-1, -1, 8, 4, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, 2, 6],\n [0, 0, 4, 0],\n [-3, 2, -1, -8],\n [-6, -2, 6, -2]]\nB =\n[[5, -3, 4, -6, 3],\n [4, -9, -6, -1, 4],\n [6, -10, -1, -8, -8],\n [7, -4, -10, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 1, -9, 6, 0],\n [-2, 2, 9, 4, 7],\n [-2, 5, -10, 4, 7],\n [2, -5, -7, 9, -4],\n [2, 0, -5, -9, -7]]\nB =\n[[4, -6, 8, 0, 4],\n [7, 3, -9, 8, -7],\n [10, 7, 4, -5, 4],\n [-3, -10, 1, -6, 1],\n [5, 5, 4, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -3, 2, -6, -1, -3],\n [-9, -5, 7, 8, 2, -10],\n [0, -5, 3, 1, 10, -6],\n [1, 5, 9, 0, -2, 7],\n [10, -7, -1, -3, 4, -7]]\nB =\n[[9, -3, -1, -1, 8],\n [-4, -2, 7, 9, 2],\n [-1, 9, 10, -5, -9],\n [-6, 9, -5, -5, -9],\n [-4, -2, -7, -6, 9],\n [0, 4, 5, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-634", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, 2, 5],\n [8, -1, -9, 5],\n [-9, -9, -10, -7],\n [0, 10, 8, -6],\n [10, -7, 3, 0]]\nB =\n[[-2, 7, 9, 8],\n [1, -10, 7, -5],\n [-8, 6, -3, -5],\n [4, -1, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 7, 6, -2, 2, -4],\n [0, 0, 0, 6, -5, -10],\n [0, -5, 1, 4, 0, 4],\n [-2, 3, -1, 7, 2, -10],\n [2, 3, 1, 1, 2, -9],\n [-3, -2, -3, 7, -1, 4]]\nB =\n[[-1, 2, 8, 8],\n [-7, -1, 5, 2],\n [1, 3, -7, 0],\n [-5, 8, -8, 4],\n [3, 1, -5, -6],\n [-3, 8, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -9, 10, 8],\n [-10, 3, 9, -7, 6],\n [-8, 3, -6, 1, 2],\n [-3, -10, -6, 0, -8],\n [4, -9, 2, 8, -9],\n [10, -3, -7, 0, -7]]\nB =\n[[-2, 2, 6, -1],\n [-9, 10, 2, 2],\n [-5, -1, -1, -9],\n [0, -2, -7, -10],\n [2, 8, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1713", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -7, 5, -4],\n [8, 6, 9, -1],\n [-9, -3, -6, -8],\n [1, -1, -2, -2],\n [2, 8, 7, 9],\n [1, 6, 3, -8]]\nB =\n[[4, -3, 5, -6],\n [2, -4, 8, 9],\n [9, 9, -7, -2],\n [-5, 3, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[9, 6, 7, -6, -9],\n [9, -8, 4, -8, 10],\n [4, 9, -6, -9, 0],\n [10, 0, 6, 5, 9],\n [2, 7, 3, -8, -3]]\nB =\n[[6, 1, -10, -3, 7],\n [-2, 5, -3, -2, -9],\n [-6, 3, -3, -8, 8],\n [4, -10, -4, 0, -6],\n [10, -1, 1, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-7, 0, -9, -3, -1, -5],\n [0, -5, -4, 2, 8, -7],\n [-1, -5, -9, -8, -7, 0],\n [-1, -10, 6, -10, -10, 3],\n [1, 4, -1, 0, 4, 1],\n [4, 0, 7, -4, -2, -10]]\nB =\n[[4, 1, 3, -10, -5],\n [7, -4, -5, 0, 8],\n [10, 6, -8, 2, 9],\n [3, -9, -2, -2, -6],\n [1, 3, 3, -1, 10],\n [-4, 2, 0, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 8, 10, 9, 1, 4],\n [4, -1, 1, 4, 5, 1],\n [-9, -7, -6, -4, -1, 6],\n [-10, 7, -1, 6, -4, 9]]\nB =\n[[0, 5, 2, -10, 4, 9],\n [4, -5, 0, -8, 0, 2],\n [4, 8, -7, -3, 10, -8],\n [-9, -3, 7, -7, -4, 0],\n [-8, 10, 4, 3, -5, -4],\n [-1, -4, -4, 7, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1343", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 8, 3, -5, -6, 8],\n [-4, 1, 5, -5, 1, -10],\n [3, 4, 6, 4, -3, 6],\n [9, -4, -3, 6, 4, 9]]\nB =\n[[-9, -5, 10, 3, -4, 4],\n [1, -4, -10, 2, 10, -5],\n [-10, 2, -6, 4, 2, 9],\n [1, -1, 7, 8, -3, -3],\n [0, 9, 3, 4, -10, 7],\n [4, 10, 7, -8, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -3, 0, 1, 4, 6],\n [-6, 3, 9, 9, 9, 9],\n [2, -5, 6, -7, 1, -8],\n [-3, 9, 6, 9, 5, 0],\n [-5, 2, 4, 1, 7, -7],\n [-2, 1, 4, 10, -8, -9]]\nB =\n[[-3, 7, 2, -1, 10],\n [4, 5, 5, -10, 3],\n [-7, 10, -4, -8, -2],\n [10, -7, 0, -7, 9],\n [-4, -9, -4, 9, -7],\n [-6, -9, -6, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 3, 5, 10, 5, 5],\n [-9, -2, 4, -5, -2, 0],\n [-2, 4, -3, -4, -5, 1],\n [8, -10, 7, -4, 9, 1],\n [-7, 10, -5, 9, 6, 2],\n [2, 6, 3, 7, -2, 1]]\nB =\n[[3, -1, 5, -6, 7, -10],\n [-4, -6, 10, -2, -6, 9],\n [1, -2, -9, 6, -7, -9],\n [-7, -2, -1, 4, -7, -8],\n [7, 2, -1, -9, -9, -4],\n [2, 2, -3, 0, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, 2, -4, -8],\n [0, 9, -8, -3, 4],\n [8, -7, 7, 10, 10],\n [-7, -9, 5, 9, -7],\n [-4, -7, -2, 7, 7],\n [-2, -9, -8, -8, -5]]\nB =\n[[10, 2, -1, -9, 2, 4],\n [2, -8, -2, -2, 0, 2],\n [1, -4, -7, -3, 10, -4],\n [9, -4, 1, 9, 2, 3],\n [-9, -5, 5, 2, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, -7, -7, -2],\n [-3, 9, 7, 8, 2],\n [0, -2, -2, -5, -6],\n [-1, -7, -8, 4, -8],\n [2, 6, 8, 1, 8],\n [-6, -1, -7, 7, 7]]\nB =\n[[0, 5, 10, -7],\n [-4, -6, 4, -6],\n [-10, 9, -5, 2],\n [-10, -8, 3, 9],\n [7, -8, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 3, -7, 4],\n [3, 5, 6, -7],\n [-8, 4, 10, 5],\n [4, -3, -6, -4],\n [-6, 5, 1, 6]]\nB =\n[[6, -1, 2, 10],\n [-10, -9, -4, 1],\n [8, -2, -4, 10],\n [4, -5, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, 1, -6, 1],\n [7, 6, 7, 10, 3, 2],\n [4, 5, 0, -10, 8, -5],\n [5, 3, -9, 1, -8, 8]]\nB =\n[[-6, 8, -2, 9, -7],\n [8, -10, 4, -9, -8],\n [-1, 9, 4, -6, 10],\n [-9, 2, 4, -7, 9],\n [-8, -1, 6, 3, 4],\n [10, 7, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -10, 3, 0],\n [8, 9, 1, -9],\n [0, -2, 9, -3],\n [-5, 5, -9, 5]]\nB =\n[[-6, 7, 9, -4],\n [-9, -5, 5, -10],\n [9, 3, -10, -2],\n [7, -8, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 3, 1, -8],\n [3, -9, -6, -8],\n [7, -4, 4, -10],\n [8, -9, 3, -9],\n [-7, -3, -3, 9]]\nB =\n[[9, -10, 4, -9],\n [7, -7, -9, 2],\n [5, 3, 10, -2],\n [10, 2, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, 8, 7, 0, 7],\n [6, -2, 7, -6, 4, -2],\n [-2, -6, -9, 5, 4, -9],\n [9, -2, 2, 2, 10, 2],\n [6, 5, 5, 5, 3, 6],\n [-6, 2, 0, -7, 0, 8]]\nB =\n[[-6, -6, 3, 6],\n [-5, 0, 3, -5],\n [8, 1, -5, -4],\n [2, 5, 8, 2],\n [2, -8, 8, -7],\n [-8, -8, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1528", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 7, 1, -8, 1],\n [-1, 9, 1, -7, -5],\n [-1, -3, -9, -10, -9],\n [1, 2, -2, 0, 6],\n [8, -2, 3, -4, 2],\n [3, 10, 1, -10, 8]]\nB =\n[[-10, 6, 8, 3, -6, 0],\n [-6, -9, -8, -10, -10, -5],\n [4, -8, -9, 6, -1, -7],\n [9, 6, 9, 5, -4, -2],\n [-4, -10, -5, -6, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1964", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -7, 0, -4],\n [-9, -7, 4, 10],\n [-4, 3, 10, -4],\n [3, -7, 3, 7]]\nB =\n[[3, -5, -6, 10],\n [-7, 7, 3, 2],\n [2, 3, 5, 2],\n [-9, 6, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 3, 10, 5],\n [0, 5, -10, 9],\n [1, -7, 6, -10],\n [4, -10, -7, 8],\n [3, -9, 4, 6],\n [-7, -6, -4, 4]]\nB =\n[[4, -1, 7, -8],\n [-9, -5, -3, 1],\n [9, -4, 8, 10],\n [-4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -1, 1, 5, 4, 8],\n [-5, -8, 4, 10, 2, 4],\n [1, 7, -4, -6, 3, -1],\n [-10, -3, 9, 1, 8, -10],\n [-2, 8, 8, 7, -3, -3]]\nB =\n[[-2, -3, -10, -2],\n [10, -2, -1, -10],\n [-3, -5, 10, -5],\n [2, 8, -6, 4],\n [10, -7, -3, 1],\n [-8, 4, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, -3, -4],\n [5, -4, -6, -1],\n [-9, -4, -3, 2],\n [2, 5, -5, -9],\n [3, 8, -4, 10]]\nB =\n[[9, -4, -2, 0, 6, -1],\n [5, -1, -3, 10, -2, 0],\n [-9, 2, 9, -3, -5, -2],\n [-2, 5, -4, 9, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -1, -4, 5],\n [-3, -5, 6, -2],\n [2, -10, 2, 0],\n [10, 1, -3, -5],\n [-7, -2, 10, 5]]\nB =\n[[-4, -1, -5, 9, 5],\n [-10, -7, 6, -1, -6],\n [3, 3, 4, -4, -1],\n [-8, 2, 1, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 8, 1, 9, -9, 8],\n [-4, 4, -10, -10, -7, -10],\n [5, -10, 4, 6, -8, 9],\n [-6, -2, -7, -2, -5, -2],\n [-7, 5, 10, -3, -4, -10],\n [-5, 8, -10, 4, -4, -10]]\nB =\n[[-5, -4, 7, 1],\n [6, 6, 2, 2],\n [4, -9, -5, -3],\n [6, 8, 4, 7],\n [-9, 0, -2, 2],\n [0, -3, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 0, 3, 3, 7],\n [9, 4, 1, 9, -10],\n [-3, -6, 0, 7, 8],\n [-1, 7, 2, -6, -3]]\nB =\n[[-5, -2, -5, -6, -8, -6],\n [-2, 5, -10, -2, -4, -6],\n [1, 1, 4, -3, 4, 8],\n [-6, 7, -9, 7, 0, -2],\n [7, -5, -3, -1, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, 2, -2, 9, 3, 6],\n [-1, 10, 2, -10, -10, -10],\n [7, -6, -1, 0, 6, -2],\n [-2, -8, 7, -7, -8, -1],\n [10, 4, -4, 6, 6, -5]]\nB =\n[[-7, 6, 3, 5, -4, 5],\n [8, 10, 3, 1, 1, 5],\n [-6, -4, -8, 10, 2, 4],\n [-7, 1, -1, -1, -10, 6],\n [-6, 9, -9, 2, 4, 6],\n [-3, -10, 4, 9, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-6, 6, -9, 5, -4, 5],\n [-4, -2, 3, 0, -4, -6],\n [-4, -1, -10, -8, -4, 6],\n [10, 7, 2, -2, -3, -6],\n [-1, -5, 8, 0, -9, 6]]\nB =\n[[-7, 9, 2, 1],\n [2, 6, 8, -1],\n [9, 2, 10, -6],\n [10, -6, 8, -10],\n [-3, 0, 6, 10],\n [-10, 3, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, -3, 7, -7],\n [4, 6, 5, -1, 1],\n [3, -9, -9, -10, 6],\n [-3, 10, -3, -4, 8],\n [-3, -10, -7, -6, -7]]\nB =\n[[2, -10, 1, 3],\n [6, -7, 6, -8],\n [7, -3, -5, 1],\n [-3, -10, 8, 9],\n [-2, 3, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1471", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, -7, 3, -8],\n [8, 9, 5, -6, 5],\n [3, -9, 3, 3, -10],\n [6, -4, 8, 10, 1],\n [10, -7, 1, 3, 10]]\nB =\n[[-3, 5, 4, -5, -4],\n [-2, 7, -9, 1, 5],\n [9, 6, 6, -9, 10],\n [-2, -6, 5, -6, -3],\n [-2, 4, -6, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-7, -2, -8, -3, 5],\n [4, 6, -6, -2, 7],\n [9, 8, 9, 8, 10],\n [4, 5, 3, 5, 5],\n [-10, -9, 8, 8, -6],\n [-7, 7, -5, 1, 7]]\nB =\n[[3, 3, -6, -3, 10],\n [4, 8, -8, 8, 10],\n [-7, -10, 2, 5, -9],\n [-10, 1, -2, -4, -2],\n [-10, 10, 2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, 5, 6, 0, -5],\n [10, 7, -7, 6, 1],\n [6, -3, 8, 4, -8],\n [-10, 2, -9, 1, 1],\n [10, 10, -4, -4, -8],\n [-5, 9, 5, 1, -6]]\nB =\n[[9, 9, 2, -10, 8, 1],\n [8, -3, -5, -3, -1, 5],\n [6, 5, -7, 2, -4, 9],\n [10, 7, -10, 5, -2, -10],\n [5, -7, 8, 8, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[1, -8, 4, 5, -5],\n [-8, -10, 5, 0, 8],\n [6, 6, -3, 9, 7],\n [-10, -7, 3, 0, -10]]\nB =\n[[-3, 3, 7, 9],\n [6, 8, 8, 0],\n [2, -3, -7, -9],\n [-4, 0, 2, -8],\n [10, 4, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -9, -4, 5, 0, 5],\n [-7, -3, 8, -4, -3, 8],\n [3, -10, 8, 6, 10, 1],\n [7, 10, 6, -3, 5, 1],\n [0, -2, 4, -1, 5, -4]]\nB =\n[[-2, -4, -4, 1, -8, -6],\n [3, 1, -10, -7, -3, -9],\n [2, -8, -8, 7, 0, 0],\n [6, 1, -2, 1, 9, 0],\n [5, 2, 1, 0, 9, -8],\n [1, -2, -10, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-8, 9, 9, -6],\n [9, 2, -1, 2],\n [2, 3, 0, -8],\n [-7, -5, 9, 0],\n [2, 9, -4, -6]]\nB =\n[[-5, -10, 0, 8, 8],\n [1, -1, -3, 0, 8],\n [-3, -8, -7, -5, -9],\n [7, 10, -10, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -10, 10, 4, -2, -8],\n [3, -10, 0, 2, 8, -6],\n [2, -10, 8, -3, -8, -10],\n [-4, 0, 1, 5, -6, -9]]\nB =\n[[-10, -4, 6, 3, -10],\n [-9, -4, -4, -5, -8],\n [3, 5, 8, 5, -10],\n [-9, 9, 8, -10, 7],\n [5, 10, 2, 5, -9],\n [-4, 7, -3, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1528", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 4, 4, -10, -7, 5],\n [-7, 2, 9, -6, -2, 4],\n [8, 7, -6, -1, 7, 10],\n [-4, 6, 2, 1, -5, -7],\n [-3, -6, -1, -2, -1, 9]]\nB =\n[[4, 1, -3, -7, 6, 3],\n [7, 8, -5, 0, 9, -4],\n [6, 5, -8, 7, -5, -2],\n [3, -7, -4, 10, -9, 2],\n [1, -3, 7, -8, -2, -4],\n [-3, -4, -9, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, -2, -9, -6],\n [5, -7, 8, -1],\n [-9, 2, -5, -5],\n [-10, -4, 1, -2],\n [-6, 9, 10, 6],\n [-5, -7, 5, -3]]\nB =\n[[-1, 8, 5, 4, -6, 2],\n [-10, -1, 10, -2, 7, -6],\n [-4, 7, 9, -4, 7, 1],\n [2, -5, 8, 10, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -5, -9, 6, -7],\n [-7, 3, -4, 5, 3],\n [-2, -2, -7, 10, 4],\n [2, 10, 0, -4, -6],\n [1, -1, 4, -7, -2],\n [7, -10, 3, 6, 2]]\nB =\n[[10, -1, -2, 0],\n [-5, 6, -1, 6],\n [-3, -8, 2, -8],\n [-8, -7, -8, -1],\n [1, 9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 4, 6, 1, 0, 8],\n [-7, 9, -2, 7, -6, 6],\n [-10, -9, -5, 1, -4, -3],\n [1, 7, 7, -4, -2, 1]]\nB =\n[[7, -7, -3, -4],\n [2, -1, -8, -1],\n [5, -2, -1, -7],\n [6, 3, 6, -2],\n [-8, 5, -5, 9],\n [3, 3, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[1, 3, -7, -8],\n [-5, 8, 5, -3],\n [1, 3, -5, -4],\n [-5, -9, 3, 9],\n [-3, 5, -2, -1],\n [-8, -6, 5, -1]]\nB =\n[[4, -8, 9, 8],\n [-6, -10, 4, 4],\n [7, 7, 5, -9],\n [-8, -5, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 8, -8, 4],\n [-6, -3, 2, 6],\n [2, 2, -7, 0],\n [4, 10, -1, -3],\n [3, 8, 6, 2],\n [0, 10, 9, 1]]\nB =\n[[-2, -9, 7, -6, -9],\n [6, -9, -7, -2, 7],\n [-4, -9, 5, 9, 5],\n [4, 2, 10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -4, 0, 5, -1, -3],\n [1, -4, 6, 0, 5, -5],\n [9, -8, 0, 8, -6, -1],\n [3, 5, -2, -9, -5, 2]]\nB =\n[[2, -7, -3, 7, 10],\n [10, -1, 7, -1, -3],\n [1, 2, 10, -7, -5],\n [-8, -4, 0, 3, 2],\n [8, 3, -5, 1, -1],\n [-10, 9, 10, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -10, 0, 4, 5],\n [4, -3, 4, 3, 6],\n [-2, -10, 2, 7, 8],\n [3, 7, 8, -1, -3],\n [1, 0, -4, 7, -10]]\nB =\n[[6, -8, -10, 3, 1],\n [-5, -2, 9, 7, 9],\n [10, -1, 3, 4, 5],\n [-6, -5, -5, 0, 7],\n [0, 0, 7, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, -2, 2, 7, 6],\n [-3, 10, 2, 8, 5, -3],\n [0, -8, -3, 5, 9, -5],\n [-7, 1, -1, 1, 2, 9],\n [8, 2, 5, -5, 10, 7]]\nB =\n[[3, 7, -1, -8],\n [-7, -7, -6, 0],\n [-9, -3, 0, -1],\n [2, 4, -1, -9],\n [-7, 4, 3, 2],\n [7, 8, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -2, 7, -8, -10],\n [-1, 2, -5, -1, -4],\n [-5, 1, 0, 10, 7],\n [-1, -7, -3, 8, -8],\n [-4, 6, -2, -7, 4],\n [-1, -1, -8, -10, -7]]\nB =\n[[-1, -8, 7, -1, 6],\n [-5, 6, 8, 5, 8],\n [-5, 1, -4, 1, -9],\n [-2, 9, 1, 2, 10],\n [6, 2, -6, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -10, 2, -5, -6],\n [-10, 9, -5, -4, 0, 3],\n [-10, -4, -8, -5, 6, 6],\n [5, -2, 4, 6, -8, -3],\n [3, 10, 7, -3, 9, 3]]\nB =\n[[10, 4, -7, 9],\n [-4, 4, 7, 2],\n [-2, 5, 3, -5],\n [-2, -4, 8, -7],\n [-10, 8, -5, -1],\n [3, -5, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 3, -4, 10, 3],\n [2, 6, 2, -10, 8],\n [-5, -7, -4, -8, -8],\n [6, -4, -5, -9, 1]]\nB =\n[[9, 9, 5, -1, 7],\n [2, -9, -1, 0, 5],\n [8, 5, 0, -10, -1],\n [-10, 0, -5, 8, -1],\n [-10, -8, 6, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -4, -5, -9, -9, -10],\n [-6, 9, -5, -5, 7, -10],\n [5, -1, 2, 4, 6, -4],\n [7, -7, 0, -9, 8, 6]]\nB =\n[[-7, 7, 8, 6, 6, 8],\n [3, -2, -8, 3, -3, 8],\n [-10, -8, 5, -4, -10, -9],\n [-4, -2, 6, -4, 0, -3],\n [-8, -9, 9, 8, 1, -1],\n [7, -9, -3, 5, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[-4, -7, 10, 2, 4, -9],\n [-8, 9, -10, 1, 7, 5],\n [-2, 2, 10, 4, -10, -8],\n [-7, -6, -8, 0, 3, 3],\n [1, -7, -4, 3, -6, 8],\n [0, -1, 3, -8, -2, 1]]\nB =\n[[7, -8, 7, 0, 8],\n [3, 10, 2, 5, 3],\n [-5, 5, 2, -7, 10],\n [0, -9, 1, 7, 10],\n [2, 0, 10, -10, -8],\n [-6, 7, -3, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 0, 8, 2],\n [5, -5, 7, 3],\n [0, 0, 0, -8],\n [-9, 3, 0, 5],\n [-1, -3, 10, 10]]\nB =\n[[7, 7, 8, 4, 4, -8],\n [2, 1, 10, -1, 8, -8],\n [-1, -2, 4, 8, -5, -9],\n [10, 3, -2, -9, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 0, 3],\n [-3, -2, -4, -6],\n [10, 8, -7, -1],\n [1, -3, 8, -6],\n [7, 3, 8, 0]]\nB =\n[[10, -5, -9, 5, -5, -1],\n [7, 1, -9, -2, 1, 4],\n [1, 0, -7, -6, -1, -6],\n [4, 4, 0, -3, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -7, -7, 4],\n [8, 4, 3, -6],\n [-10, -1, 9, 7],\n [9, 5, -7, 3],\n [-3, 9, 9, 7],\n [10, -7, -3, -10]]\nB =\n[[-10, 4, -8, 6, -1],\n [-2, 2, 1, -2, 4],\n [1, -3, 1, -7, 5],\n [-10, 1, -9, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 10, 4, 5, -7, -8],\n [10, 6, 1, -1, -8, 9],\n [-2, -2, -4, 1, -5, -1],\n [6, 7, 9, -9, 1, 0],\n [-3, -9, 6, 2, 0, -5],\n [4, 8, -5, 4, -1, -2]]\nB =\n[[-9, 9, 4, -8, 8],\n [10, -2, 3, 6, 3],\n [9, 2, -7, 10, -5],\n [7, 0, 5, -8, 6],\n [-8, 1, 8, -3, 8],\n [-2, 9, 9, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, -1, 3, -7, 8],\n [5, -10, 5, 6, -8, 4],\n [-10, -8, -8, -10, 9, -4],\n [1, -1, -8, -7, 1, -6],\n [5, -3, 3, 6, -3, 1]]\nB =\n[[-2, 3, 8, 10, -9],\n [-4, 8, 10, 0, 7],\n [10, 7, -2, 10, -9],\n [7, 2, -7, -8, -3],\n [-9, -7, 6, -9, -9],\n [-4, -7, 1, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 7, 6, 0, -9, 1],\n [0, -4, 10, 6, -4, 4],\n [-7, 0, 2, -10, 1, -2],\n [-4, 3, 9, 7, -6, -8],\n [4, -3, 5, -9, -1, -8]]\nB =\n[[-8, 2, -2, -9, -2],\n [-4, 9, -2, 3, -7],\n [1, 3, 1, 2, 10],\n [4, 8, 2, -5, -10],\n [-4, -5, 9, 0, 0],\n [-3, -3, 8, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1591", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, -10, 2, 10, -8, 0],\n [-4, 5, -5, -10, -2, 0],\n [1, -6, 9, -6, -1, -1],\n [-6, 3, -9, 1, -9, -4]]\nB =\n[[4, -7, 0, 10, 2, 6],\n [4, 8, -8, 5, 8, 6],\n [-6, 9, -6, -5, 8, 4],\n [-2, 4, 5, -9, -9, -10],\n [10, 5, -6, -10, -9, 5],\n [4, -10, -6, 2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -9, -4, -10, 9, 7],\n [7, 8, -2, 2, 9, 9],\n [0, -2, -9, -5, -4, 5],\n [-8, -7, -10, 3, 8, -10]]\nB =\n[[-1, 2, -10, 6],\n [8, 0, -6, -1],\n [-3, 3, -1, 2],\n [-2, -6, 2, 10],\n [-2, -4, -1, 6],\n [10, -7, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, -3, -6, 0, -7],\n [4, -7, 9, -10, 5, 3],\n [5, -4, -10, -7, -9, 10],\n [0, 5, -7, 3, -7, -2],\n [3, -3, 8, -1, 10, 8]]\nB =\n[[6, -4, 0, -9],\n [-8, 6, -8, 1],\n [8, -7, -4, 6],\n [10, 0, -4, -9],\n [10, -8, -3, -7],\n [0, -1, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1791", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 9, 4, 8],\n [-6, -7, -2, -9],\n [4, -9, -6, 10],\n [-1, 7, -5, -8],\n [3, 0, 5, 3],\n [4, -9, -1, -10]]\nB =\n[[-4, 0, -9, 10, 7, -6],\n [1, 10, -10, 4, -4, -2],\n [-7, -10, -1, -5, -4, 3],\n [4, 10, -4, 5, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 10, -2, -10],\n [-9, -7, -2, -3],\n [-9, 6, 4, -10],\n [6, 3, -7, 9],\n [8, -6, -3, -9]]\nB =\n[[9, 8, -3, -4, 4, 0],\n [-2, -1, -8, -5, 5, -10],\n [-8, 6, -8, -3, 9, -10],\n [9, 10, 6, -9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2529", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-6, -5, -8, -6],\n [4, -8, 1, -10],\n [-7, -3, -5, -1],\n [-7, -4, -1, 8],\n [-3, -2, 1, 0]]\nB =\n[[-1, 8, 4, 0],\n [4, -3, -3, 10],\n [7, 5, -5, -2],\n [7, 6, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 6, 0, 9, -9, -1],\n [2, -2, 9, -5, -8, 5],\n [0, -3, 7, 4, -9, 3],\n [-1, 7, -3, 5, 8, -10],\n [0, -10, -9, -8, -5, 5],\n [8, 5, 0, -4, 6, 8]]\nB =\n[[10, -9, -6, 10],\n [-1, -10, 1, 9],\n [-1, -8, 0, -7],\n [5, -9, 6, 7],\n [-1, 1, -7, -5],\n [8, 4, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -5, -6],\n [-6, 5, 7, -10],\n [-8, 10, 0, 7],\n [-4, -2, -10, 4],\n [6, -5, -2, 1],\n [7, -9, 10, -4]]\nB =\n[[10, 4, -3, 10, 5],\n [10, 0, -2, 10, 8],\n [2, 5, 3, 10, -3],\n [-5, 7, -9, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[6, 6, -4, 9, 4, -5],\n [-10, -10, -8, -5, -1, -8],\n [-3, -10, 0, 7, -9, 4],\n [4, 8, 0, 5, -7, 5]]\nB =\n[[2, 3, 0, -4],\n [5, 3, 7, -1],\n [4, -9, 2, -1],\n [9, -3, 1, -7],\n [-4, 4, -3, 5],\n [2, -4, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -2, 0, -7, -9],\n [-6, 1, 10, -1, 8],\n [-5, 1, 1, -3, -9],\n [-5, 10, 5, 2, -3],\n [7, -10, 0, -8, -7],\n [8, -8, -4, 4, 3]]\nB =\n[[-7, 5, 3, -8],\n [3, -2, -8, 9],\n [-8, 6, -3, -1],\n [2, 2, -7, 7],\n [-7, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1770", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -8, -1, 4],\n [1, -3, 9, -9],\n [3, -4, -6, -3],\n [5, 8, 10, -2],\n [-1, -2, 1, -2],\n [6, -8, 7, -1]]\nB =\n[[-6, -6, -7, 5],\n [6, -3, 0, -4],\n [-10, -6, 8, 5],\n [-3, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-379", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 0, 5, 8, 10, 3],\n [-10, -1, -7, 0, -3, 0],\n [5, 1, 8, -4, -5, -5],\n [-7, -1, 6, 6, 0, -8],\n [-8, -6, -5, -2, 0, -5],\n [5, 5, 5, 2, -7, -6]]\nB =\n[[-5, 7, 6, 8, -7, 4],\n [1, 3, -1, -8, -6, -1],\n [-8, 10, 9, -1, -6, -3],\n [-10, 2, 7, 6, 4, -9],\n [3, -6, 9, -3, -3, 5],\n [8, -5, -8, -7, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 6, 2, 1, 10],\n [7, 3, 3, 2, -9],\n [8, 8, 8, 3, -4],\n [-10, 2, 2, -7, -5],\n [4, 7, 6, -10, -3]]\nB =\n[[5, 6, -5, -9, 6],\n [-5, -4, 2, -8, -10],\n [-1, -9, 0, -5, -7],\n [-3, -4, 1, -1, 9],\n [7, 9, -8, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1215", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -7, -2, -9],\n [-9, 2, 7, 10],\n [2, -2, 8, -2],\n [-1, 5, 5, -2]]\nB =\n[[4, -8, 6, 10, 3],\n [-9, -10, -4, -7, -10],\n [3, -5, 7, -10, 9],\n [-8, -9, 8, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, -10, 2, 3],\n [9, -2, 6, 2, -3],\n [-1, -9, 4, -1, -8],\n [10, -5, -8, -9, -1],\n [10, -4, 5, -9, 9]]\nB =\n[[-4, -8, -3, -10, -7, 10],\n [2, 2, -8, -5, 10, 0],\n [-4, 5, 5, -7, -3, 0],\n [-10, 4, -7, 5, 10, -4],\n [-2, 8, -6, 2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 10, -3, 9],\n [4, 2, 8, -6, 7],\n [-8, -9, -8, 9, -3],\n [2, -9, -9, 5, 6],\n [-1, -10, 7, 2, 5],\n [9, -3, -3, -3, -1]]\nB =\n[[-5, 1, -7, -10],\n [1, -10, 5, -7],\n [-9, -10, 3, -1],\n [9, 0, 10, 6],\n [-3, 6, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -7, -2, 1, -6, -2],\n [7, 7, -7, -6, -7, -2],\n [7, -10, 8, 8, -9, 8],\n [4, 7, 8, -2, 4, -3],\n [8, -2, 7, -7, -6, -9]]\nB =\n[[10, 8, -10, -9],\n [6, 3, -1, -9],\n [3, -9, 7, 9],\n [-5, -9, 5, 10],\n [1, 2, -5, -7],\n [1, 5, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, -10, 1, -4, 4],\n [7, -3, 6, -5, -1],\n [-6, -1, 4, 0, 3],\n [-1, -5, 2, 3, 8]]\nB =\n[[0, -3, -4, 1],\n [-1, 10, -8, 9],\n [-10, -9, -10, 7],\n [-2, -1, 10, -5],\n [10, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -1, 4, -6, -1],\n [-9, 3, 7, -1, -3],\n [-1, -7, 5, 1, -5],\n [4, -8, -1, -5, 4],\n [-6, 9, 6, -1, -3]]\nB =\n[[-7, -7, -6, -6, 9],\n [5, 8, -4, 9, 0],\n [2, 4, -7, 7, -5],\n [-5, -2, 10, 7, 1],\n [0, 7, -2, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -10, -8, -2],\n [0, -5, -9, -8],\n [-5, -8, -2, 5],\n [5, -7, -6, 3],\n [-9, 6, -1, -5]]\nB =\n[[-3, 8, -4, -8, 7],\n [-10, 1, 5, 3, -1],\n [-6, 4, 4, 10, -7],\n [4, 4, 1, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1833", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[0, -2, 9, 5],\n [0, 4, 10, -4],\n [4, 0, 5, -2],\n [-3, -9, 3, 1]]\nB =\n[[2, 8, -3, -8, -8, 9],\n [-10, 7, 9, 3, -7, -3],\n [-3, 10, -2, -6, -5, -9],\n [-8, 5, -4, 6, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[3, -10, -10, 5],\n [-6, 9, -9, -1],\n [3, -2, -7, -5],\n [-8, 2, 1, -3]]\nB =\n[[8, 2, -1, -9],\n [-5, 10, -8, -5],\n [-10, -4, -1, 4],\n [-3, -8, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -7, 10, 4, -1, 10],\n [-1, 3, 4, 0, 7, 1],\n [6, 6, -7, 4, -10, -7],\n [3, -7, 7, 9, 2, -5],\n [1, -8, 4, 0, 1, -7],\n [7, 0, 9, 4, -7, 2]]\nB =\n[[10, -4, -8, 8, -2, 8],\n [-10, -10, -10, -1, 0, -9],\n [9, 6, 2, -7, -5, -5],\n [-1, 4, -7, 4, -7, -9],\n [0, 4, 9, 3, 1, -6],\n [3, 10, 4, -6, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, -1, 2, 5],\n [8, -7, -6, -4, 3],\n [-9, 7, -5, -9, 0],\n [-9, 0, 2, -6, -6]]\nB =\n[[2, 9, 0, 10, 9, 6],\n [0, -6, -1, -1, -1, -4],\n [-8, -3, 4, 7, 9, -3],\n [5, 1, -6, 9, 5, -6],\n [-9, 4, -1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1546", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -10, -9, -8, -1],\n [-3, 9, 5, 2, -10],\n [7, 6, 3, -6, -1],\n [9, 1, 9, 6, 10],\n [-7, -3, 7, 3, 4]]\nB =\n[[3, 6, 0, -10, -4, -8],\n [8, 2, 5, -2, 7, -5],\n [-1, 5, 1, -8, 5, 7],\n [-4, 3, -2, -4, 7, 7],\n [-9, -10, -9, 5, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 7, 8, 5],\n [-10, -3, -9, 3, -2],\n [1, 6, -7, -9, 9],\n [3, -5, 7, -7, 7]]\nB =\n[[10, 10, -6, 4],\n [7, 3, 6, 8],\n [-10, -9, 0, 5],\n [7, 7, 7, -6],\n [-1, 8, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 3, 2, 6],\n [6, -8, -2, -9],\n [-6, -1, 10, 6],\n [-6, 6, -8, 4]]\nB =\n[[-5, 9, 1, -9, 7],\n [-9, 4, 8, -3, -1],\n [-2, 1, 0, 3, 9],\n [10, 4, 10, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[8, 6, -3, 9],\n [1, 10, 3, 9],\n [-8, 9, -7, 8],\n [-10, 2, 7, 4],\n [-4, -1, -3, -1],\n [1, -9, 4, 0]]\nB =\n[[-9, 6, -4, 10],\n [-5, -1, 0, -10],\n [-3, 9, -2, 5],\n [-7, 5, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[10, 9, -7, -1],\n [-1, 4, 4, -4],\n [3, -10, 2, -5],\n [-6, -10, -10, 7],\n [3, -10, 10, -2],\n [6, -3, 3, -1]]\nB =\n[[3, 4, 0, 2, -5, -3],\n [-10, -6, 6, -9, 8, -3],\n [3, -10, 4, -8, -8, 0],\n [-4, -5, 0, 6, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 5, -4, 3],\n [3, 4, -6, 10],\n [-3, -3, -5, 8],\n [7, -2, 2, -4],\n [-10, 7, -9, -5],\n [-3, -2, 9, 2]]\nB =\n[[-7, -7, 4, -9, 8, -7],\n [3, -9, 6, -7, -4, 3],\n [-4, 8, 10, 8, -10, 3],\n [-3, 7, 10, 7, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[2, 9, 5, 2, -2, 9],\n [2, -5, 10, -9, 0, -3],\n [-10, 7, 8, -3, 1, -3],\n [9, 2, 1, -1, 2, 9],\n [4, 4, 7, -8, -5, 5]]\nB =\n[[-5, -8, 6, -2, -4],\n [2, 3, 0, 1, -9],\n [-6, -2, 0, 1, -1],\n [8, -9, 7, 3, -9],\n [8, -4, -5, -5, 1],\n [-10, -5, -3, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -10, 7, -5, 4],\n [5, 7, 5, -9, -5],\n [6, 8, -4, -6, -5],\n [-2, 7, -6, -10, -7],\n [1, 2, 0, 8, 7],\n [-7, -2, -9, -5, -5]]\nB =\n[[6, 6, 1, 2, -7],\n [-9, 7, 10, 9, 10],\n [2, -7, 7, -5, -2],\n [5, 4, 2, 2, 10],\n [-2, 6, 1, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-10, 4, 10, 1, 3, -9],\n [3, -9, 9, -6, -2, -8],\n [9, 3, 1, -1, 10, -9],\n [-3, -9, 1, 1, 6, 9],\n [-2, 0, 4, -7, 0, -2],\n [-4, -5, 8, -3, -4, -2]]\nB =\n[[-2, -6, -9, -8, 6],\n [5, -6, 3, -7, -1],\n [6, -8, -7, 2, -5],\n [-6, 1, 0, 1, -8],\n [-3, -4, -1, -2, -4],\n [10, 5, -4, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -3, 0, -4, -9, -8],\n [-8, 4, -3, 3, -4, -2],\n [5, 5, -3, -9, -5, 1],\n [6, 8, -8, 8, 4, 10],\n [2, -1, -5, 0, -6, 8]]\nB =\n[[-6, -8, -3, -7, -4, -8],\n [7, -5, 9, 3, 6, -1],\n [7, 1, -9, -2, 1, -4],\n [-6, 4, 0, 5, 9, 8],\n [4, 1, 6, -5, 6, -5],\n [-3, 8, 8, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[10, 4, 5, -2, -2, -9],\n [-10, -3, 10, 10, 0, 7],\n [3, 9, -3, 3, -1, -10],\n [5, -9, -9, 4, 10, -5],\n [-8, 2, 10, -7, -2, 4],\n [-5, 7, 2, 0, 4, -5]]\nB =\n[[3, 3, 0, -7, 0],\n [-10, 10, 5, -8, 6],\n [-7, 2, 9, 4, -9],\n [-4, -6, -6, -7, -2],\n [-6, 6, -1, 4, -3],\n [-4, -9, 6, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -7, 1, 1],\n [2, -5, 3, 10],\n [6, 0, 1, 5],\n [6, 4, -2, 10],\n [-7, -5, 5, 7],\n [2, -4, 2, -5]]\nB =\n[[8, 6, -8, 2, 8],\n [-2, 3, -3, 8, -3],\n [2, 1, -9, -10, 4],\n [-8, 5, 8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1419", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 1, 6, -10],\n [-10, 3, -1, -8],\n [10, 8, -3, -10],\n [9, 8, -10, 9],\n [-4, 9, -3, -10],\n [-3, -10, 4, -6]]\nB =\n[[10, -4, 6, -6, 6],\n [6, 8, 2, 1, -2],\n [10, 7, 6, 6, -4],\n [8, 9, 4, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-1, 1, 8, 6],\n [-5, 6, 0, 5],\n [-9, -8, -9, 7],\n [4, -8, -7, 9],\n [8, 0, -3, -7],\n [1, -1, -7, -4]]\nB =\n[[-7, 8, -5, 9, 10],\n [6, -4, -8, -7, -5],\n [-4, 9, 10, -1, 1],\n [-7, -2, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[0, 10, -7, 8, 3],\n [10, 4, 4, -10, -2],\n [0, 3, -4, 5, 3],\n [-3, 3, 2, 8, -8],\n [-5, -2, 8, 8, 1],\n [-8, -1, 7, 5, 3]]\nB =\n[[-8, 9, -2, 6, 10, 6],\n [-7, 2, 3, -10, -2, -9],\n [-10, -1, -7, -10, 8, 2],\n [-2, 7, 10, 2, -7, -8],\n [-8, 8, 2, -3, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[0, -2, -10, -9, 7],\n [3, 5, 5, 5, -5],\n [10, 10, 5, -10, -4],\n [6, -10, -4, -1, -3],\n [4, 3, 5, -2, -2]]\nB =\n[[3, -3, 3, 4],\n [3, 8, -10, -9],\n [5, 5, -6, -2],\n [3, 2, -4, 10],\n [10, 6, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, -10, 8, -4],\n [9, -8, 7, 1],\n [2, 0, 4, -2],\n [-4, 4, -10, 1],\n [3, -9, 4, -1],\n [7, -2, 3, -6]]\nB =\n[[-8, 5, -3, -10, -5, 8],\n [-7, 4, 1, -2, -9, 10],\n [-9, -1, 3, 9, 3, -3],\n [-2, 4, 2, 4, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -6, 2, 6, 1, 1],\n [3, -5, 1, 8, -10, -9],\n [4, -3, -10, -7, -6, -3],\n [5, 9, 6, 0, 9, 10]]\nB =\n[[-2, -7, -6, -7, 2, -4],\n [-8, -4, 1, 9, -7, 3],\n [6, -1, 6, 4, 9, -4],\n [-8, 2, -10, -1, -3, -10],\n [-6, 4, -10, 0, 3, 6],\n [-10, -2, 4, 5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-434", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 9, -7, -2],\n [-3, 7, -5, 10],\n [-5, 3, 4, 7],\n [8, 6, -10, -4],\n [7, 3, 5, -9]]\nB =\n[[-9, 0, -8, 3, 10],\n [6, -8, 6, 3, 4],\n [-9, -1, -1, 4, -2],\n [-9, 9, 0, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -2, -3, 10, 8],\n [-6, 0, -6, -5, -5],\n [-6, 6, 8, -3, 8],\n [0, 9, -9, 10, 5]]\nB =\n[[1, -5, 10, 0, 6],\n [-8, -6, -7, 8, -3],\n [0, -10, -10, 10, 6],\n [6, -1, -6, 10, 9],\n [-7, 10, -4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -6, -7, -9],\n [-4, -1, -1, 3],\n [10, 2, 2, 3],\n [-5, 10, 1, 7],\n [-2, 6, 4, -5]]\nB =\n[[6, 4, 7, 8, -8],\n [-1, -8, 10, 7, -8],\n [9, -3, 2, -8, 3],\n [-5, 10, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -1, 4, -6, -3],\n [0, 10, -3, -8, -5],\n [-3, -6, -8, 5, -7],\n [8, -7, -10, 5, -9],\n [0, 4, -2, 10, -5],\n [-7, -6, 3, -8, 6]]\nB =\n[[7, 0, -4, 3, 3],\n [5, -5, 3, -7, -5],\n [-5, -10, -2, 10, 1],\n [-7, 2, 3, -4, 8],\n [-9, -7, 3, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "569", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -4, 10, 4, 8],\n [-3, 3, -4, 5, 6],\n [9, -6, -5, 7, 8],\n [-2, 6, 9, -2, 4]]\nB =\n[[6, -1, -7, -10, -9, -2],\n [-9, -4, 5, -6, -3, -7],\n [-4, 2, 6, 0, 8, 7],\n [-7, -10, 4, 7, -2, -2],\n [-4, 4, -1, -6, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 5, 0, -6, 1, 0],\n [-1, -2, 5, 8, 1, -1],\n [5, 8, -6, -9, -9, -8],\n [-7, -10, 2, 7, -10, -3],\n [-2, 7, -9, 3, -10, -3],\n [0, -10, -6, 9, -9, 5]]\nB =\n[[7, 3, 4, -6],\n [-1, -10, -2, 5],\n [8, -4, -6, -10],\n [-2, 10, 6, 0],\n [-6, -3, -10, 6],\n [-1, 3, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -8, 10, 0],\n [2, -4, -4, -6, -8],\n [5, 4, -3, -7, -5],\n [7, 7, 9, 4, 4],\n [8, 8, 10, -4, 5]]\nB =\n[[3, 2, -2, 9],\n [4, 8, 2, 4],\n [9, 8, -5, 1],\n [8, 4, 5, -4],\n [5, 8, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 7, -2, 7],\n [-5, 2, 5, -6, 8],\n [6, 9, 3, 6, 10],\n [10, 0, -4, -4, -8],\n [-5, 4, 1, -10, 5],\n [3, -6, -9, -9, -9]]\nB =\n[[-10, 8, 3, -8],\n [6, -9, 0, -4],\n [5, -9, -1, 1],\n [-7, 2, -7, -3],\n [10, 1, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[5, 4, 6, -6],\n [1, -10, -5, 5],\n [-5, -4, -10, 1],\n [-7, 1, 4, 9]]\nB =\n[[-1, -4, -6, -6, -5],\n [10, -1, -2, 6, 7],\n [-2, 8, -5, -2, -9],\n [0, -8, 6, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 6, 10, 3, 4],\n [-8, -7, -5, 4, -3],\n [10, -4, -10, 4, 7],\n [-1, -3, 1, 6, 10],\n [-7, 9, 10, 8, 2],\n [-2, -4, 1, 5, -3]]\nB =\n[[9, -8, 4, -3, 4, -1],\n [10, -10, 1, -2, -8, 10],\n [6, -8, 10, -10, -5, 5],\n [4, -10, -4, -8, -8, 6],\n [-8, -9, 8, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -9, -2, -6],\n [10, -1, -9, -5],\n [1, 10, 8, -1],\n [-8, -10, -4, 3],\n [-6, 2, 7, -10],\n [6, -7, 6, -8]]\nB =\n[[-5, 3, 7, 6, 9, 7],\n [10, 7, -5, 2, 8, 6],\n [-1, 10, -4, 1, -1, 1],\n [1, -10, 0, -3, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2786", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -4, -8, -6, 2],\n [2, -2, -3, 10, 1],\n [-1, -2, -5, -7, -2],\n [10, 6, 2, 4, -3],\n [5, 7, 1, 5, -8],\n [5, 0, -6, -10, -6]]\nB =\n[[-6, 10, 7, -6],\n [-9, 0, 5, 7],\n [9, -4, 10, -2],\n [-1, 10, -2, 5],\n [3, 2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -9, -7, 0, -2, -4],\n [3, -4, -7, -7, 9, -8],\n [-5, 3, 0, 10, -6, -8],\n [9, 3, -2, -7, -1, -6],\n [7, -6, -4, 9, -10, -7]]\nB =\n[[0, 7, -3, 2],\n [0, -9, 8, -9],\n [-1, -1, 5, 8],\n [-2, 0, -6, -10],\n [5, 0, 9, 9],\n [1, -6, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-632", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-9, 0, 0, 2, -6],\n [-3, 2, 6, -9, 2],\n [8, -1, -10, 10, 7],\n [-10, -7, 6, -2, -1]]\nB =\n[[-10, 3, -1, -8, -4],\n [6, -9, -2, 0, 0],\n [9, -7, -7, -2, -1],\n [-9, -2, 7, -3, -4],\n [-2, 5, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-8, -2, 8, 6, 4],\n [-9, -6, -9, -3, 3],\n [-6, -8, -4, -4, -9],\n [-8, -7, 7, -7, -4],\n [-6, -2, -10, 3, -9]]\nB =\n[[2, 9, 4, 1, -1, 8],\n [-6, -5, 5, -5, -2, -7],\n [-10, 4, 4, -1, 9, 9],\n [6, -5, -9, 0, -4, 9],\n [3, -2, -5, 8, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 9, -5, -2, -8, 1],\n [-9, -10, -3, 1, -5, -10],\n [1, 1, -8, -1, 10, 4],\n [-8, 5, -4, 9, -5, -6]]\nB =\n[[-7, -2, 1, -7, 3, 9],\n [-6, -9, -3, -2, 0, -10],\n [3, -4, -1, 3, 3, 2],\n [1, 2, 9, 8, -2, -4],\n [-6, 4, -9, 4, -8, -9],\n [5, -8, -10, 1, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1889", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 4, -1, 7, 3, -6],\n [1, 10, -5, -2, 1, -8],\n [0, 6, -4, -1, -10, 1],\n [8, -2, -6, -3, 10, -5],\n [6, 1, 2, 8, 2, 10]]\nB =\n[[-3, -2, 8, 1, 8, 10],\n [4, -9, 2, 1, -9, 6],\n [9, -5, -6, -3, -8, -6],\n [1, -6, -7, -10, 0, -10],\n [-9, 8, 10, 2, 1, 10],\n [-4, -3, -5, 8, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 8, 9, 3, 9, 4],\n [-8, -3, -8, 6, 2, 3],\n [-5, 1, 9, 5, -4, 6],\n [-7, 3, -4, 2, -8, -10],\n [-9, 8, 1, 9, 10, -8]]\nB =\n[[5, 6, 9, 8, 7],\n [-7, -10, -9, 5, -3],\n [-1, 2, 8, -5, -5],\n [2, 1, -4, -9, -5],\n [4, 8, -6, 8, -4],\n [-5, 4, -1, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1896", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 7, 2, 9],\n [5, -1, -3, -1],\n [9, 5, -7, -5],\n [-1, -4, 2, 8]]\nB =\n[[10, -10, 7, 0, -10],\n [-10, 5, -7, -2, -1],\n [-2, 9, -7, -8, 1],\n [0, -3, -5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 0, 8, -5, -5, 1],\n [-6, -3, 10, -7, -3, 6],\n [9, -10, 7, 6, -9, -5],\n [0, 8, 10, -7, 5, -5],\n [-10, 8, -8, 5, 0, 7],\n [-9, -7, -6, -7, -8, -9]]\nB =\n[[-3, -4, -7, 2, 4],\n [-7, 0, -4, -6, 10],\n [-7, -1, -1, -8, 9],\n [9, -1, 3, -3, 4],\n [-2, -10, 7, 8, -2],\n [-7, 4, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -10, 5, -7, 0],\n [-1, 0, -7, 10, -6, 2],\n [10, -2, 4, 10, 3, 8],\n [-1, -10, -5, 0, 0, -2],\n [9, -1, -10, -1, -9, -7]]\nB =\n[[10, 2, -1, 1, 3],\n [10, -6, 6, -4, -1],\n [7, -7, 8, 9, -3],\n [-2, -5, 7, 1, 3],\n [5, -3, -2, -7, 10],\n [3, 4, 1, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1466", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, 7, -10],\n [10, -1, 2, -8],\n [1, 4, 0, 5],\n [2, 0, -5, -9]]\nB =\n[[-1, 6, 9, 1],\n [5, 1, 10, -5],\n [4, 0, -5, 5],\n [1, 4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, -5, 8],\n [-10, -10, -3, 8],\n [4, -4, -1, -4],\n [8, 4, 1, 7],\n [-4, -3, -3, -3]]\nB =\n[[0, -10, 10, -4, 3, 0],\n [6, -7, 9, 8, -6, -4],\n [1, -1, 10, 9, 0, -5],\n [6, -6, 10, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-5, 5, 7, -3],\n [10, -5, 2, 0],\n [-4, 10, 10, 9],\n [8, 7, -6, -8],\n [2, 9, 0, -5]]\nB =\n[[1, 1, -10, 0],\n [-2, 2, -1, 4],\n [4, 7, 2, 8],\n [-2, 1, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -1, 9, -7],\n [-9, 8, -4, -8],\n [-8, 3, 3, -4],\n [-6, 10, -10, -2]]\nB =\n[[6, 5, 1, -6],\n [-9, -6, -8, 10],\n [-1, 9, 7, -8],\n [-9, 10, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1431", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -2, -8, -4, -9, 4],\n [-5, 3, -8, 8, -2, 0],\n [-6, -6, -4, -5, 0, -8],\n [7, -1, 9, 5, -1, 7]]\nB =\n[[6, -3, 7, 9, -7],\n [7, 2, -5, 7, -3],\n [10, -2, -6, 3, -5],\n [-4, 10, -6, -9, -3],\n [5, 7, -8, -3, -2],\n [-3, 0, 5, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -10, 4, 4],\n [-4, -2, -2, -3],\n [-2, -9, 7, 6],\n [8, 5, -7, -5],\n [-1, -7, -3, 9],\n [-3, 8, -3, 8]]\nB =\n[[-2, 10, 2, -3, -7],\n [4, -1, 9, -8, 5],\n [-3, -1, -10, 6, 5],\n [2, -8, 0, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1728", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, 5, 6, -10, 1],\n [6, -5, -10, -1, 9],\n [2, 9, -2, 4, 0],\n [10, 9, -6, 4, 4],\n [3, -5, 5, -7, -6],\n [-8, -3, -10, -6, -2]]\nB =\n[[-9, 1, -2, -7, 0],\n [-10, -4, -1, 10, -6],\n [-4, 8, 9, 8, -4],\n [-5, -7, 3, -1, 5],\n [2, -9, -9, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[8, 1, -6, -3, 1],\n [-4, 2, 8, 8, 1],\n [3, -4, -4, 10, -10],\n [2, 6, -5, -9, -8],\n [-2, 0, 8, -6, 7]]\nB =\n[[-6, 10, 1, -10, 1, 8],\n [-8, -9, -7, 7, 1, -6],\n [5, -9, -5, 1, 5, -3],\n [8, -6, 4, 10, -3, 0],\n [1, -6, 7, 6, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[5, 8, -8, 5, -9, -10],\n [-9, -9, -5, -7, -5, 8],\n [-8, -5, 8, 7, 4, 0],\n [2, -4, 9, -3, -2, 1]]\nB =\n[[3, 6, 1, 4],\n [6, -3, 4, 5],\n [10, 7, -10, 6],\n [-6, 7, -10, 10],\n [8, 8, 8, 10],\n [3, 0, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -7, 3, -2],\n [7, -2, -8, 0],\n [-8, -9, 8, -7],\n [-6, -1, -4, 6],\n [-5, 0, -8, -9]]\nB =\n[[0, -7, 3, -4, -7],\n [8, -5, -8, 2, 3],\n [-3, -10, 8, -1, 3],\n [9, -3, 0, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1536", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 6, -7, 9],\n [3, 1, 8, 1],\n [-8, -5, 6, 8],\n [-10, 0, 8, 9]]\nB =\n[[-4, 9, 7, -3, 7],\n [0, -3, 10, -6, -1],\n [-5, -7, 4, -10, -5],\n [10, 1, 9, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -3, -7, 7],\n [4, -10, -6, 9],\n [1, -10, 7, -8],\n [-6, -8, 7, -10]]\nB =\n[[6, 6, 10, 3],\n [2, 9, 9, 0],\n [1, 5, -5, -10],\n [-6, 1, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 7, 6, -6, 5],\n [9, 1, 7, 6, -10],\n [1, 5, -4, 2, 10],\n [-1, 10, -2, -8, -6],\n [3, 5, 2, 1, -8],\n [-9, -10, -5, 2, -5]]\nB =\n[[-7, 3, 4, 3],\n [-7, 10, 7, -6],\n [9, 10, 10, 3],\n [4, -4, -6, 6],\n [9, 4, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, -4, 4, 5],\n [7, 5, 0, 9, -2],\n [6, -3, -9, 9, 5],\n [8, -6, -9, -3, 10],\n [2, 2, -8, -5, -4]]\nB =\n[[5, -9, -10, -4, -1, 3],\n [1, -8, 0, 2, 7, -6],\n [-8, -7, 7, -3, -6, -3],\n [0, 6, -8, -7, -5, -8],\n [10, 1, 7, 7, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "474", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 3, -9, 2],\n [6, -10, -2, -10],\n [-8, 8, -5, 5],\n [4, -3, -9, 9],\n [-3, 8, 6, -1]]\nB =\n[[2, 6, 8, -7, -2, -3],\n [-1, -5, -6, -1, -8, 6],\n [-6, -10, 7, -3, -2, 4],\n [1, 10, -6, -3, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -1, 9, -5, 0],\n [6, 1, -1, 1, 0],\n [7, -5, -2, -9, 3],\n [5, 1, -1, -2, -10],\n [5, -8, 0, 8, 3]]\nB =\n[[-7, 0, -5, -1],\n [-4, 7, -1, -7],\n [2, 3, -9, 1],\n [-9, -2, -10, 7],\n [-10, -10, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 2, 9, -7],\n [9, 2, -8, -5, 3],\n [-7, -5, 0, 4, -8],\n [4, -4, 4, -10, -2]]\nB =\n[[-9, -9, -1, -2, -8],\n [-1, -8, 3, 3, -7],\n [5, 2, 8, 8, 1],\n [8, -7, 0, -4, -5],\n [-10, 7, 5, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[2, -10, 8, 10, -4, 1],\n [1, 2, 1, 3, 9, 10],\n [-3, 8, 6, -1, 9, -10],\n [-8, 7, -9, 0, 8, -10],\n [4, -4, 0, -6, -5, -4]]\nB =\n[[2, -9, 4, -2, 3, -7],\n [-2, -1, -10, -8, 9, 4],\n [0, 10, -10, -1, 7, 4],\n [1, -9, 0, -8, 8, -6],\n [8, -3, -9, -10, -3, -4],\n [10, -10, -7, 2, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, -10, -6, -1, 2],\n [2, 0, -1, 3, -1, 5],\n [-3, -8, -9, 9, 2, 2],\n [3, -7, 8, 4, 5, -3],\n [10, 1, -4, -9, -2, 10],\n [-9, -5, 10, 2, -2, 9]]\nB =\n[[5, -5, 9, -3],\n [-6, -10, 1, 8],\n [-7, -8, -1, -5],\n [6, 2, 0, 7],\n [1, -3, -2, -8],\n [-8, 5, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -10, -9, 8],\n [-5, 0, 5, -8],\n [9, 0, 9, -2],\n [6, -2, -3, 2],\n [2, 6, 9, -8],\n [-8, 2, -3, -9]]\nB =\n[[-6, 8, -3, -7],\n [-3, 2, 3, -10],\n [1, 7, 1, 0],\n [9, 2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 9, -1, 8],\n [6, 1, 1, 6, -5],\n [-4, 1, -2, -1, -6],\n [6, 9, -10, 9, -1],\n [-4, -10, 10, 0, -6]]\nB =\n[[-10, 2, 7, 2],\n [0, -8, -4, -6],\n [-2, -7, -1, 5],\n [2, 0, 7, -2],\n [8, -9, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 5, -8, 2, 5, -2],\n [7, 1, -10, -10, -1, 10],\n [9, 2, 6, -9, 0, -10],\n [6, -5, -8, -2, -3, -7],\n [10, 0, -1, 4, -10, 1]]\nB =\n[[-2, -9, 0, -10, -6, 6],\n [-2, 1, 0, 4, -3, -5],\n [-10, 4, -4, -6, 2, -5],\n [-10, -5, -4, 2, 4, -1],\n [5, 4, 9, -3, 6, -3],\n [-3, -10, -4, -10, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -7, -1, 1, 9, -1],\n [-4, 8, -7, 1, 3, -3],\n [-3, -4, -5, 3, 8, -2],\n [-10, -8, 3, -5, 2, 5],\n [10, -2, 1, 6, -5, 10],\n [6, 2, 0, 1, 4, 1]]\nB =\n[[-2, -8, 4, 9, 8, -8],\n [7, -2, -1, -10, -2, 5],\n [9, 6, -7, -6, -9, -6],\n [4, -3, 0, -4, -4, -1],\n [5, -4, -6, 1, -10, -5],\n [0, 10, 2, 8, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, -2, 3, -7, -5, -2],\n [-2, 10, 4, -2, -9, 8],\n [-1, -7, -1, -9, 8, -2],\n [-8, -9, 8, 8, 7, 10],\n [5, -8, -10, 3, 9, 6],\n [9, 5, -3, -10, -7, 10]]\nB =\n[[9, -5, -4, -2, -6, 0],\n [0, 6, -8, 3, 9, 10],\n [7, 5, -10, -6, -8, 4],\n [7, -5, 5, 9, -10, 6],\n [-1, 8, 9, -5, 6, -7],\n [8, -3, 8, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 9, 1, -4, -3],\n [-5, 5, 0, 7, 10],\n [0, 6, 9, 5, -10],\n [-4, -10, 6, -7, -10],\n [10, 2, 10, 2, 3],\n [-4, -4, -5, -1, -3]]\nB =\n[[-1, -1, -1, 8, -3, 4],\n [3, 7, -3, -8, 8, -9],\n [-6, -7, 9, -6, -1, 3],\n [-2, -8, -5, 5, -8, 8],\n [-7, 3, 4, 8, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 1, -2, 9, 6, -10],\n [-7, -9, 1, 4, -7, -6],\n [0, 8, 7, 3, 5, 5],\n [4, -2, 1, -2, 9, 1],\n [-9, -5, -6, 4, 3, 2]]\nB =\n[[-8, 5, 7, 8, -5],\n [-7, -5, 6, 9, 2],\n [-7, 0, -1, -10, -9],\n [-8, 2, -6, 8, -5],\n [0, -4, 0, 2, 0],\n [8, 1, -4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, 6, -7, 6],\n [8, -4, 7, -8, -10],\n [0, -6, 2, 0, -8],\n [10, -3, -9, 6, -8]]\nB =\n[[-5, -1, 6, -5, -9, 4],\n [-4, -6, -3, 8, -8, 10],\n [8, 4, 1, -10, -5, 0],\n [-8, -9, 6, -1, -5, 10],\n [-9, 10, 6, 7, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1727", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -6, 0, 7, -5, 3],\n [10, 10, 10, -6, 1, -10],\n [-1, -4, 2, 5, 0, -10],\n [8, -4, 3, -3, 7, 10],\n [-9, -7, 5, -9, -6, -4]]\nB =\n[[-7, -1, -9, 0],\n [0, 5, -3, 4],\n [-2, 10, 8, 2],\n [-6, 0, -8, 1],\n [-1, 7, -8, 7],\n [0, -8, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 9, 7, -7, 7],\n [7, 10, 10, 7, -5],\n [-2, -8, -1, 2, -3],\n [2, 1, 10, -6, 7],\n [-6, -5, 6, -1, -8],\n [0, -8, -10, -10, 3]]\nB =\n[[1, -6, -1, 0],\n [-2, 10, 8, 7],\n [-9, -6, 1, -5],\n [-8, 3, -6, 8],\n [6, -4, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1676", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -7, -9, 9, -10],\n [0, -4, -8, -8, 0],\n [-8, 4, 8, -10, 4],\n [4, -8, -7, 2, -4]]\nB =\n[[-9, 2, -2, -10, -3],\n [9, 2, 9, 7, 3],\n [0, 5, -6, 7, 0],\n [-6, 7, -2, 1, 9],\n [2, 0, 0, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-483", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 10, 3, -3, -7, 0],\n [9, 2, 7, 3, 6, -1],\n [7, 10, -2, 4, -3, 9],\n [-1, 10, -4, -6, 8, -5],\n [-10, -4, 5, 3, 1, 2],\n [-2, -2, 5, -9, -10, 2]]\nB =\n[[-4, 7, -1, -10, -10],\n [0, -10, -2, -4, 4],\n [1, 6, 10, 1, -2],\n [10, 3, -7, 9, 3],\n [10, -8, 10, 10, 4],\n [8, 7, 5, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-7, -4, 2, -10, -1],\n [1, 5, -8, -5, 2],\n [4, 0, 4, 7, 4],\n [2, 3, 3, 1, -9],\n [8, 2, 2, 7, -6],\n [-8, 10, 4, 10, 1]]\nB =\n[[4, -2, -4, 5],\n [7, 0, 1, 1],\n [3, -6, -7, 7],\n [10, 2, -6, -9],\n [4, 1, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[10, -10, -2, 2, -2],\n [2, -6, -2, -2, 5],\n [6, -1, -8, 8, -4],\n [9, 5, -10, 0, 4],\n [-6, 7, 0, 1, -2]]\nB =\n[[-6, -2, 3, -1, -9],\n [-10, -4, 3, -4, 0],\n [6, -9, 2, 6, 6],\n [-4, -4, 4, -2, -5],\n [7, -1, -7, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, 2, 0],\n [-9, 6, -10, 8],\n [-5, -5, -4, 2],\n [-10, -2, 10, 6]]\nB =\n[[5, 3, -6, -8, 2, -2],\n [8, -9, -4, -9, -9, 5],\n [-5, 6, -10, 5, -1, -7],\n [9, -3, -9, 5, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1450", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -5, -1, -6],\n [-7, -3, 3, -3],\n [-8, 9, 5, -5],\n [-8, -1, 2, -1],\n [-6, -7, 8, 4],\n [9, 3, 8, -10]]\nB =\n[[6, 3, -7, 2, 9, -8],\n [-6, -4, -3, -1, -7, -6],\n [-4, -5, -4, -2, 7, -5],\n [8, 4, 2, 7, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-722", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -9, -6, 9, 5],\n [6, -2, 6, -9, 2],\n [-4, -10, -4, 5, -2],\n [-8, 8, -2, -3, 9],\n [9, 10, -6, 7, -3],\n [-3, -4, 3, 8, -9]]\nB =\n[[6, 10, -8, 9],\n [2, 1, -9, 4],\n [-9, -3, 3, 8],\n [4, 2, 9, -6],\n [-3, -6, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1987", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -4, -10, -1, 2, 4],\n [2, 5, 5, -3, 7, 8],\n [9, 4, 6, 7, 7, 6],\n [2, 0, -7, -9, -9, -1]]\nB =\n[[4, -2, -7, -7],\n [-6, 5, -9, 1],\n [-2, 10, -2, -2],\n [2, 6, 8, 10],\n [-8, 7, 3, 7],\n [3, 2, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-8, 2, 9, -5, 7],\n [10, 5, -10, -4, -10],\n [-8, 2, -5, 3, 5],\n [6, 0, -2, 6, -7]]\nB =\n[[-9, 0, -6, -1, -5, -3],\n [-4, -8, -2, 6, 2, -4],\n [-8, -6, 0, -3, -1, 4],\n [7, -7, -1, 8, -4, 4],\n [-10, 4, -10, -3, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 5, -4, 7, 6],\n [4, -10, 2, 7, -10],\n [-1, -5, -10, 3, -5],\n [-2, 3, 9, 9, 3]]\nB =\n[[0, 2, -9, -7],\n [-10, -4, 1, 7],\n [-9, -5, -6, 6],\n [1, -10, 9, 0],\n [-4, -9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -1, 9],\n [-5, 5, -8, -6],\n [5, -9, 10, 10],\n [-9, 8, -1, -4],\n [6, -7, 10, 3],\n [-6, -1, -3, -4]]\nB =\n[[-3, 4, -7, -10],\n [-5, 1, -5, 2],\n [-5, 8, -9, -5],\n [10, -7, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1553", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -5, -4, 4],\n [4, -10, 10, -7, -5],\n [-7, -3, 6, -10, 5],\n [-10, -1, 8, 9, 9],\n [4, 5, -9, 2, -4]]\nB =\n[[1, -3, -10, 7, -2, 3],\n [-3, 8, -9, -1, -4, 8],\n [-7, -10, 3, 7, -10, 1],\n [-10, -5, -5, -10, -3, -7],\n [-3, -3, 3, 0, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2521", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, 7, 3, -9],\n [10, -7, 7, 10, 0],\n [10, 3, -7, -3, 4],\n [6, 9, 2, 2, -2]]\nB =\n[[9, -8, 1, -1],\n [8, -7, -1, -6],\n [-10, 5, 1, 7],\n [-10, 8, -4, 10],\n [6, -7, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1483", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 5, 8, -9, 9],\n [7, 3, -1, -6, 2],\n [-9, 7, 9, 9, 5],\n [-5, 2, 6, -9, -6],\n [4, 0, 8, -5, -7]]\nB =\n[[-9, 10, 8, 7, 10, 9],\n [9, 6, 5, 9, -2, 7],\n [10, 7, -1, -7, -5, -2],\n [6, 9, -2, 0, -6, -2],\n [6, 2, -7, 9, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2371", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[6, -8, 8, -7, 7, -3],\n [2, 6, 6, -4, 8, -3],\n [-6, 1, 2, 8, -9, -5],\n [-9, -4, -10, 8, -7, 7],\n [-8, 7, -3, 0, 3, -10]]\nB =\n[[-6, -2, -10, -5, 4, -10],\n [10, -3, -2, 1, -5, 0],\n [-6, -7, 1, -4, 2, 8],\n [2, -6, 4, -10, 3, 10],\n [6, -7, 8, 0, -10, 9],\n [-3, -4, 2, 0, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -6, 7, 6, -10],\n [7, -9, -8, 2, -7, 2],\n [-9, -4, 7, -4, -1, 1],\n [-4, 8, 5, 9, -7, -10],\n [-5, -8, 0, 2, -1, 1]]\nB =\n[[9, 8, -4, -7, -10],\n [5, 1, -4, -2, 8],\n [4, 2, 2, 3, 3],\n [8, -2, 0, 2, -6],\n [5, -8, -4, 0, -10],\n [-8, -10, -9, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 4, 9, 1],\n [-5, -1, 8, -10],\n [9, 9, -4, -3],\n [5, -8, -3, 10],\n [-2, -10, 7, -7],\n [9, 6, -4, -5]]\nB =\n[[6, 3, 0, -3],\n [-7, -7, 8, 2],\n [-3, -2, 3, -7],\n [10, -10, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 6, 3, 1, -8],\n [0, -5, 9, -4, 2],\n [10, -2, -10, 4, 9],\n [6, -7, 4, -3, -10],\n [-5, 2, 0, -2, 9],\n [-2, 9, -3, -8, -6]]\nB =\n[[-5, -6, 4, 6, 8],\n [0, 1, -1, -5, 2],\n [5, -9, 9, -4, -2],\n [6, 7, 8, -4, 7],\n [8, 9, -8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 4, 8, -10],\n [9, 9, -1, 8],\n [9, 7, -6, -6],\n [3, 6, 9, 8]]\nB =\n[[9, -5, -4, -7, -9],\n [0, -7, 1, -3, 6],\n [9, -9, -8, -3, -8],\n [-7, -1, 10, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-572", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -4, -9, 3],\n [6, -8, 8, -6],\n [3, 1, 0, -5],\n [-9, 10, 6, 9]]\nB =\n[[-5, -7, -2, 9, 9, -3],\n [0, 9, -8, -9, -3, 0],\n [6, 7, -1, -8, 8, 2],\n [-2, -1, 4, 10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, 8, 6, 0, -9],\n [9, 0, -10, -7, 5],\n [2, -6, -5, -4, -10],\n [-6, -1, 5, 4, -1],\n [-10, -2, -9, -7, -10],\n [3, -3, -5, 4, 2]]\nB =\n[[-7, 8, -8, 4, -5, 6],\n [6, 1, -9, 2, 3, -5],\n [-9, -7, 4, -1, 5, 4],\n [10, -6, 10, -1, -9, -8],\n [3, -8, -10, -10, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -6, -7, -5, -8],\n [-5, -1, -3, -7, 6],\n [-4, -5, -10, -2, 1],\n [-3, 8, -5, 7, -8],\n [10, -10, -9, 2, 5],\n [2, 2, -8, -3, 7]]\nB =\n[[-10, 8, 2, 8],\n [-1, 2, -8, 7],\n [3, 8, 4, -9],\n [0, 0, -1, -1],\n [-4, -8, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 10, 3, -10, 10],\n [5, -9, 6, -5, 7],\n [2, 9, 3, 1, 9],\n [9, -7, -1, -2, -9],\n [6, -9, 4, -9, 7]]\nB =\n[[0, 10, -6, 4, -3],\n [-5, -4, 0, 5, -6],\n [1, -2, -4, 10, -7],\n [7, -8, 8, 4, 8],\n [6, 5, 9, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -7, 6, 1],\n [0, 10, -10, -4],\n [10, -3, -3, 7],\n [-7, 7, -9, 10],\n [-9, 0, 5, 10],\n [-4, 2, -5, 10]]\nB =\n[[-4, -10, 10, 9],\n [0, 5, 2, 6],\n [-2, -9, 4, 10],\n [6, -3, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 0, -8, -1, -8, -3],\n [0, -3, 7, -1, -6, 9],\n [-6, 9, 7, 2, 7, 8],\n [-10, 5, -6, -3, -7, -10],\n [0, -1, -3, 3, -9, 3]]\nB =\n[[-9, 4, -6, 0],\n [-4, -7, -8, 0],\n [10, 10, -9, 7],\n [-7, -2, -8, -1],\n [8, 10, 8, 5],\n [-7, 2, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-913", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[0, -4, -5, -6, 7, -7],\n [-5, 5, 10, -4, 4, -8],\n [-6, 8, -8, -9, -7, 1],\n [-9, -3, -8, -4, -8, -9],\n [-5, -2, 1, 9, -10, 6],\n [8, -6, 6, -1, 6, 3]]\nB =\n[[-8, 7, 1, 4],\n [0, 7, 7, -6],\n [-8, 5, 6, 2],\n [1, -7, -1, -2],\n [-4, 0, 6, 2],\n [-9, 5, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[8, 4, -9, 0, -4, -1],\n [10, -10, 6, 2, 0, -4],\n [5, -10, 9, -7, -6, 4],\n [-4, -1, -7, 4, 1, -6]]\nB =\n[[4, 5, -8, 2, 8, 9],\n [-3, -10, -5, 9, 3, -9],\n [-8, -8, -9, 0, 4, -8],\n [8, -3, -10, 0, -6, -6],\n [8, -8, 5, -9, 2, -10],\n [10, -6, -4, 8, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, 7, 5, 9, 6],\n [5, -3, 10, -1, 10, -2],\n [4, -6, 9, 0, -9, -2],\n [9, -5, 2, -7, -2, 10],\n [7, 10, -8, 8, 1, -6]]\nB =\n[[7, 3, 3, 9],\n [1, 5, -5, 2],\n [1, 10, -7, -8],\n [-10, -10, 1, -2],\n [-4, 6, 5, 6],\n [-10, 3, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 8, -1, 1],\n [8, 4, 9, 5],\n [0, -8, -9, -5],\n [-8, -10, -10, -7],\n [0, -10, 0, 2]]\nB =\n[[-6, 2, -6, -1, -5],\n [-7, 9, 0, -2, 0],\n [-10, -5, -1, -3, 6],\n [10, 9, -2, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -7, 3, 5, 9, 8],\n [-1, -2, 10, 1, 1, 5],\n [3, -7, 8, -4, -4, -9],\n [1, 7, 7, -5, 9, 8],\n [-5, 8, 3, 3, 10, -5]]\nB =\n[[1, 9, 6, 8],\n [8, -6, 0, -1],\n [6, -1, -6, -9],\n [-10, 1, -5, 3],\n [10, -4, 10, -1],\n [10, 5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1553", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -10, 3, -5, 5],\n [-2, 3, -1, 2, -6],\n [2, 3, -10, -1, 3],\n [8, 3, -10, -6, -3],\n [8, 5, -5, 3, 1]]\nB =\n[[-9, 5, -7, 6, 4],\n [10, -4, 2, -9, 1],\n [0, -8, 2, -1, 3],\n [-4, -9, 4, 0, -2],\n [0, -3, -9, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -10, 9, 3],\n [-9, -3, -7, 7],\n [8, 1, -4, 0],\n [-4, -6, -9, 1]]\nB =\n[[-10, 4, 5, -7, 7],\n [-2, 4, 2, 0, 5],\n [-6, -6, -10, 3, -2],\n [-3, -4, -5, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-1, -7, -1, 8, -6],\n [4, -10, 7, 6, -6],\n [2, -6, -2, -6, -3],\n [-6, 5, 4, 0, -4],\n [-1, -8, 8, -9, -7]]\nB =\n[[9, -6, 1, 3, -10, -1],\n [6, 8, 8, -9, -5, 8],\n [2, 10, 3, -4, 1, 8],\n [2, -3, -2, -5, 5, 3],\n [-6, -10, -1, 9, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 5, -7, -4],\n [10, 6, -9, -6],\n [-5, 10, -5, -1],\n [1, 3, -3, -1],\n [-4, -4, -5, -10],\n [10, -2, 5, 1]]\nB =\n[[-7, -4, 8, 3],\n [6, 2, -2, -1],\n [1, -4, 1, -10],\n [10, -5, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1448", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -6, 4, -8],\n [-2, 4, -5, -10],\n [6, 3, 9, -2],\n [7, -4, -5, 10],\n [-3, 1, 7, 9],\n [6, -7, -7, -8]]\nB =\n[[-1, 2, 7, -5],\n [8, -3, 5, 1],\n [3, 3, 6, -6],\n [-10, -4, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 4, 1, -8, 1],\n [8, -10, 1, 8, 6],\n [7, 7, -8, -2, 10],\n [1, -7, -10, -7, 10],\n [3, -3, -6, 6, -4],\n [-4, -6, -3, -5, 3]]\nB =\n[[-9, 5, -8, -6, 5],\n [1, -8, -2, -5, -10],\n [1, 6, -10, -8, 3],\n [5, 8, -5, 1, -2],\n [5, 3, 0, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -8, -4, -9, 7],\n [1, -7, 8, 8, -1],\n [7, 10, 9, -7, 1],\n [-9, -1, -7, 10, 7],\n [-7, 9, 7, 6, -1]]\nB =\n[[5, 3, -3, 0, 9, 1],\n [-6, -4, -10, 8, -1, -3],\n [-9, -9, -8, -7, -5, 10],\n [-6, -7, -5, -8, 4, -5],\n [-4, -1, 9, 2, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2585", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -10, -8, -1],\n [0, 9, 0, -6],\n [-6, 5, 3, -3],\n [-5, 1, 6, 7],\n [-5, -9, 5, 5]]\nB =\n[[2, -3, 8, -2, -8],\n [-2, 2, -4, 9, 3],\n [9, -5, -4, -3, -6],\n [-5, 4, 5, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -1, -2, 9, -3, -9],\n [10, -6, -1, 2, -3, -6],\n [-4, 6, -1, -3, 10, -2],\n [-1, 8, -1, -4, 0, -10],\n [-10, 0, -9, -4, 2, 1],\n [2, -4, -9, 4, -1, -10]]\nB =\n[[-5, 2, 0, -6],\n [-7, 4, -7, 10],\n [-1, 8, -1, 4],\n [1, -10, -1, -10],\n [6, 1, -10, 0],\n [-1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 7, 3, 7],\n [-2, 8, 10, -4],\n [3, -7, -4, -10],\n [-2, -7, 3, 0],\n [4, -6, -9, 7]]\nB =\n[[2, 6, -10, 0],\n [4, 2, 8, 5],\n [10, -10, 4, 7],\n [-2, 8, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -6, -4, 2, -8],\n [10, 2, -7, 3, -6],\n [3, -1, -10, 4, 10],\n [-1, 3, -5, 8, -5],\n [8, -7, 6, -3, -7]]\nB =\n[[-1, 8, -8, 2, -8],\n [-2, -10, 1, -2, 6],\n [-3, 0, -3, 8, 7],\n [2, 9, 9, -7, 6],\n [2, 4, -1, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 7, 9, -6],\n [5, -8, 10, -9, -10],\n [-1, -1, -3, -8, -7],\n [-2, -2, 4, 4, 3],\n [6, -7, -8, -5, -5]]\nB =\n[[9, 9, 2, 9, -3, 0],\n [3, -6, 10, -2, -8, -8],\n [3, -1, 4, 8, 1, -5],\n [-8, 2, 10, -4, -10, -10],\n [-2, 7, 5, -6, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 3, 6, 4, 6, 4],\n [2, -6, -5, 0, 9, -9],\n [-8, 5, -2, 2, -2, 8],\n [-7, 2, -6, 5, 10, 10],\n [-1, 7, -10, 1, 5, -9],\n [-4, -4, 10, -10, -3, -3]]\nB =\n[[-7, 2, -7, 2, -7],\n [2, -10, 7, 2, -2],\n [-7, -1, 6, -4, -3],\n [-6, -6, 7, -7, 0],\n [9, 0, -3, 1, 1],\n [-1, 1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "551", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -1, -3, -2, 5],\n [-10, 10, -3, -1, -4],\n [1, -6, -7, -1, -10],\n [4, -9, -6, 0, 8],\n [-4, 1, -10, 3, 0]]\nB =\n[[0, -5, 4, -5, -7, 9],\n [1, -10, 7, 2, 1, 9],\n [-1, -1, -5, 0, 5, 10],\n [-6, -4, -6, -4, 7, 10],\n [0, 4, -8, -3, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 9, 7, 10, 3, -8],\n [2, 4, -8, -7, -10, -3],\n [-10, -10, 8, 4, 3, 0],\n [10, 7, 3, 2, 0, -9]]\nB =\n[[0, -7, -10, 3],\n [-8, 10, -4, 8],\n [-2, 1, 1, 2],\n [-3, 5, -5, 7],\n [-8, -9, -7, 4],\n [3, 8, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1340", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, 4, 6, 4],\n [10, -3, -7, -10, 4],\n [6, 10, -5, -7, 7],\n [-3, 0, -2, -4, 8]]\nB =\n[[1, -10, -9, 7, 7],\n [3, -9, 5, 10, 4],\n [-7, 2, 9, 1, 6],\n [-9, 7, -1, -1, -8],\n [-2, 3, -10, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1919", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-4, -10, 8, 0, -5, 6],\n [6, 6, -5, 10, 7, 1],\n [-6, 6, -7, 10, 6, 10],\n [0, 8, -5, -7, 9, -4],\n [-7, 8, 6, 7, -10, -9],\n [5, -9, 5, 8, 1, -8]]\nB =\n[[3, 5, 10, -8, 4],\n [-5, -7, 3, -5, -7],\n [3, -6, 4, -9, -10],\n [4, 3, 9, -10, 10],\n [-2, -10, 0, 2, -7],\n [-8, -6, -3, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -6, 1, -8, 7, 9],\n [2, 8, -6, -9, -7, -2],\n [2, 3, 7, 2, 3, 9],\n [-10, 6, -8, -4, -4, -5],\n [4, -7, -2, -10, 0, -7]]\nB =\n[[5, 6, -10, 6],\n [2, -1, -4, -8],\n [-1, 1, 6, -7],\n [2, 0, -10, -5],\n [-5, -10, -9, -1],\n [-8, 6, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -10, 10, -4, -4],\n [-4, 5, 8, 3, -8],\n [0, 10, -1, 7, 8],\n [3, -10, -1, 1, 1],\n [8, -1, -10, -10, 0]]\nB =\n[[-9, -10, -6, 3, -10, -9],\n [-3, -2, 10, 1, -9, 5],\n [6, -8, -1, 6, -8, 8],\n [-5, -10, 8, 0, 3, -1],\n [0, -2, -2, 1, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -2, -4, 5, -3, 7],\n [-10, -8, -9, 3, -6, 5],\n [4, 7, -5, 7, -9, -5],\n [7, 0, -8, 0, -6, 4],\n [-8, -4, 8, -6, 4, 5]]\nB =\n[[1, 6, -1, -1],\n [3, -9, 9, -6],\n [3, -1, 6, -7],\n [-10, 8, -4, -4],\n [8, 10, -1, -10],\n [1, 1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, -8, -10, 1],\n [-10, -10, 10, -1, -1],\n [2, 3, 1, 0, 5],\n [6, -1, -3, 10, 4],\n [6, 2, -4, 8, 9]]\nB =\n[[-10, 7, -8, 6],\n [-10, 5, -6, 6],\n [6, 3, 4, 3],\n [-1, 3, 3, 0],\n [-7, -8, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-574", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-2, 6, 7, 0],\n [4, -2, -1, -3],\n [-8, 0, -5, 10],\n [3, 4, 10, -1],\n [8, -6, -8, -1]]\nB =\n[[-8, 8, -9, -4, 4],\n [10, -3, 3, -2, 5],\n [0, -7, 8, -9, 7],\n [7, 5, 7, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, 1, 6, -10, -9],\n [-5, -2, 7, -2, -1, 6],\n [1, -4, 4, 8, -1, 6],\n [1, 8, -10, 2, -10, 9]]\nB =\n[[9, 8, -5, 6, -4, 0],\n [-2, -3, -4, 8, 7, 9],\n [7, 4, -4, -9, -3, -7],\n [-9, 0, 2, -2, 6, -4],\n [-1, -5, 6, -1, -4, -2],\n [-7, -2, 8, 7, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 0, -1, -7, 10],\n [-6, -8, -9, 0, -1],\n [-8, -7, 4, -6, -1],\n [-5, 5, 10, -6, 2],\n [-6, -9, -4, -3, -7],\n [0, -6, -1, 1, 7]]\nB =\n[[6, -10, -10, 3],\n [6, 2, 6, 4],\n [6, 1, 9, 10],\n [-5, -8, 8, 10],\n [-2, -4, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 3, -4, 1, -9, -3],\n [8, -6, 4, -6, -8, 9],\n [-2, 9, 5, 5, 6, 10],\n [2, -4, 9, 5, 6, 5],\n [-3, 0, 4, -1, 3, -6],\n [3, -7, 7, -4, -3, 2]]\nB =\n[[1, 2, -9, -2, 7],\n [-5, -9, -1, -9, 3],\n [-3, 0, 7, -4, 9],\n [-10, -6, -10, -2, 3],\n [10, -4, -10, 6, 8],\n [7, 5, -3, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -2, -2, -6],\n [10, -3, 6, 0],\n [-3, 1, -5, 1],\n [1, -7, -4, -9],\n [7, 4, 2, 10],\n [4, 2, 4, 9]]\nB =\n[[8, 6, 9, 10, -8, 9],\n [-9, -10, -3, 8, -1, -4],\n [-5, -9, -5, 5, -6, -4],\n [-6, -10, -3, 4, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -5, 1, -9, 6, 4],\n [-5, -10, -1, 3, 10, 1],\n [3, -10, -10, -3, -6, 9],\n [10, 0, 5, 5, -9, 9],\n [8, 0, -8, 10, -6, -7],\n [8, -7, -5, -3, -9, -6]]\nB =\n[[-10, 9, -2, -5],\n [-2, 0, 4, -2],\n [-2, -5, 7, -3],\n [7, 3, 10, -10],\n [-10, -8, 10, -3],\n [-3, 7, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-3, -4, 1, 5, -10, -1],\n [0, 9, 4, -5, 6, 0],\n [-2, 8, 3, 10, 7, 5],\n [-4, -3, 1, 2, 3, 10],\n [6, -6, 2, -10, 5, 0]]\nB =\n[[-6, 6, 0, 2, 1],\n [2, -2, -2, -8, 2],\n [8, -6, 0, -2, 5],\n [-5, 5, 9, 3, -10],\n [8, -6, -8, 2, 2],\n [0, 3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 0, 7, -3, -6, -4],\n [-2, -8, -1, 9, -6, 4],\n [3, 2, -8, -3, -9, 4],\n [1, 6, 2, 4, 3, 0],\n [-10, -1, -10, 7, 8, 6],\n [-7, 3, -2, 9, 3, 5]]\nB =\n[[10, -6, -9, 3],\n [-6, -6, -1, -6],\n [6, -10, -10, -3],\n [-1, -1, 6, -7],\n [-10, 1, -10, -7],\n [-6, -1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 0, 7, 8, -9],\n [-5, 8, -7, 3, -10],\n [7, 5, -9, -10, -10],\n [-4, -6, -9, 6, 10],\n [1, -8, -7, 6, -8]]\nB =\n[[7, 3, -4, 0, -7],\n [4, 6, 5, 3, 0],\n [-10, -6, 9, -2, 9],\n [-6, 4, -8, 2, -6],\n [1, -6, 6, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1757", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 4, -9, -1, -5, -7],\n [-7, -5, -10, -6, -7, 9],\n [-8, -1, -3, -8, 0, -4],\n [9, 1, -10, 3, 1, 10],\n [0, -5, 5, -9, 5, -2],\n [-1, -8, 6, -7, 2, -5]]\nB =\n[[1, 1, 0, 9],\n [-2, -10, -1, 3],\n [-10, 7, -4, 0],\n [-4, 7, -7, -9],\n [-5, -6, 6, 0],\n [6, -8, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "569", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[9, 2, 4, 5, 6],\n [-4, -9, 4, 1, 10],\n [-1, -8, -8, -10, 5],\n [-5, 4, -3, 7, 2],\n [10, 8, -6, 1, -1]]\nB =\n[[-6, -3, -3, 1],\n [-6, -9, 3, -6],\n [-1, 3, 1, -6],\n [3, 10, 4, -3],\n [7, -2, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -5, 0, -3, 6],\n [-3, 10, -9, -6, -1],\n [2, -1, 1, -7, 0],\n [-6, 5, -7, -7, -8],\n [4, -5, -7, 9, 5]]\nB =\n[[10, -8, -5, 1],\n [-9, -10, 10, -10],\n [-9, -8, -3, 2],\n [-2, 9, -5, -2],\n [-9, 4, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1376", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-8, 1, 10, 6, 1, -6],\n [-4, 5, 2, -8, -8, -8],\n [-4, 6, -8, 8, 0, 10],\n [-5, 6, -6, -5, 9, 9]]\nB =\n[[-1, -2, 10, 1, -5, -6],\n [5, 7, 5, 10, -5, -6],\n [-5, -8, -4, -10, -8, 9],\n [-4, -2, -1, 6, -6, 0],\n [-9, -9, -4, 9, -4, -10],\n [4, 6, 0, -10, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -3, 1, 2],\n [-6, 1, 8, 4],\n [7, -4, 3, 0],\n [-10, -10, 1, -4],\n [7, -2, -8, 0]]\nB =\n[[9, -6, -1, -7, 3],\n [5, -10, 4, -2, 6],\n [-3, 6, 1, 6, -4],\n [4, 0, 6, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, -2, -9],\n [-6, 8, 4, -2],\n [-7, 1, 7, 8],\n [8, 5, 4, -5],\n [2, -6, 3, 6]]\nB =\n[[-3, 3, -3, -9, 4, -5],\n [-2, 10, -5, -8, -2, -10],\n [-1, 1, -6, 10, -6, -6],\n [-9, 0, 6, 4, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2335", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[8, 10, 8, -2],\n [-9, -5, -5, -2],\n [3, -10, 0, -4],\n [-5, 3, -9, 9],\n [-5, -1, -7, -4],\n [-9, -2, -8, -8]]\nB =\n[[-7, -5, 6, -10, 9, 8],\n [5, 9, 8, 1, 8, 8],\n [0, -1, -8, -6, -1, 10],\n [-9, -2, -10, 5, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 9, 3, -9],\n [6, 0, -5, 3],\n [9, 7, 4, 4],\n [-6, 5, 1, 0],\n [-4, 1, -5, -9],\n [-8, -1, -5, 9]]\nB =\n[[9, 5, -6, -4],\n [4, -5, -7, -4],\n [-4, -10, -8, -6],\n [-1, 0, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[-2, -4, 3, 9],\n [-9, 10, 5, 8],\n [-5, -5, -5, -9],\n [9, 7, -2, -7],\n [6, 8, -5, -10],\n [-10, -4, 8, -6]]\nB =\n[[-6, 6, -9, 3],\n [1, 10, 2, 6],\n [7, 1, -3, -9],\n [6, 1, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-9, 0, 0, 7],\n [-3, -5, 6, 2],\n [0, 4, 4, 8],\n [-9, 7, -3, 4],\n [-10, 9, 5, -6],\n [0, -10, -10, 2]]\nB =\n[[-5, -4, -9, 3, -3],\n [8, 8, 10, 4, -10],\n [6, -6, 3, 5, 8],\n [-1, -10, -7, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 6, 1, 7, 6, 8],\n [5, 6, -8, -6, 9, 2],\n [5, -9, 6, -4, -7, 9],\n [9, -10, 8, -4, -4, -4]]\nB =\n[[8, 4, -8, -8, 5, 5],\n [10, 9, -10, 3, 9, -5],\n [-1, -10, 4, 6, -6, -8],\n [-9, 3, 10, -3, 10, -6],\n [5, -5, 10, 10, -3, 2],\n [-5, -8, 10, 6, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2029", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 1, 3, 3, 9],\n [3, -5, 2, -7, -5],\n [-2, -1, -8, 3, 10],\n [-1, -1, 4, -4, 2],\n [-2, 6, 4, -3, -6]]\nB =\n[[7, -9, -9, -2],\n [-6, -7, -7, -9],\n [-9, 2, -8, -10],\n [2, -8, -6, 4],\n [7, -8, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, -2, -2, -9, -1],\n [-8, 7, 7, -3, -6],\n [10, 6, -9, 3, 7],\n [-7, -1, -10, -2, 0],\n [4, -1, -6, 2, 3]]\nB =\n[[4, 2, -7, -7, 3, 7],\n [-5, 8, -8, 1, 10, -5],\n [-2, 9, -6, 8, 4, -2],\n [7, 5, 7, 7, -1, -1],\n [9, 3, -7, -6, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 5, 8, 3, -7],\n [0, 1, -1, 2, 2],\n [-3, -4, 6, 1, -5],\n [1, -5, 4, -10, -8]]\nB =\n[[-10, 10, -7, -10],\n [8, -9, -6, -9],\n [-1, -4, 0, 4],\n [5, -2, 7, 1],\n [-10, -8, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -9, -7],\n [2, 8, 4, 1],\n [-5, -1, 10, 10],\n [0, 2, -4, -3],\n [-4, 9, -3, 1]]\nB =\n[[7, -8, 10, -6, 4, -5],\n [-1, -7, -1, 7, 10, 8],\n [9, 0, -4, 9, -6, 4],\n [2, 4, 9, 10, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 6, 6, 2, 6],\n [-4, 6, 2, -1, -6],\n [-1, 2, 8, 9, 3],\n [6, 3, -9, -8, -7],\n [-10, 2, -9, -9, 5]]\nB =\n[[2, -2, -8, -7],\n [7, -3, 6, 6],\n [-4, -8, -10, -4],\n [-1, 8, -5, 7],\n [2, -3, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[9, -3, -10, -8, 0, -2],\n [9, 10, -8, 9, 3, 5],\n [-8, 6, -4, -10, 4, -3],\n [1, 0, -5, 0, 6, 4]]\nB =\n[[10, 8, 5, 3, 0],\n [-2, 0, 9, -2, 2],\n [-4, 9, 2, 3, 3],\n [6, -2, 5, 8, -8],\n [5, -7, -6, 7, -9],\n [5, 7, 9, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-4, -7, 3, 6, 10, 3],\n [6, 0, -1, 1, -1, -9],\n [-7, -5, 10, 3, 1, 3],\n [-2, -3, 3, -4, -9, -5]]\nB =\n[[-9, -3, -3, 4],\n [-1, -8, 0, 4],\n [-2, 3, -6, 0],\n [-10, -6, -1, -2],\n [-10, 4, 0, 1],\n [0, -2, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -7, -2, -10, -5],\n [10, -7, 3, -7, -8],\n [6, 2, -7, 0, 2],\n [0, -5, 0, -7, 6],\n [-3, 9, 7, 3, -7],\n [7, 2, -6, 0, -4]]\nB =\n[[-2, 3, 5, 5, 5],\n [-10, -7, 6, 9, -6],\n [-4, 9, 3, 2, -5],\n [-8, 6, 5, 0, -2],\n [5, 5, -9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[3, 0, 7, -2, 8],\n [-4, 3, -10, 9, -9],\n [1, -2, 4, -8, 7],\n [1, -9, 6, -10, -1]]\nB =\n[[1, 2, 9, 7],\n [8, -7, 5, 9],\n [0, 7, 7, -7],\n [-10, 0, 3, 3],\n [0, -8, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-1, 2, 8, 0, 7, 2],\n [0, -3, -10, 4, 6, -2],\n [-2, -9, 1, 1, -10, -7],\n [-1, 5, 10, -6, -7, -7],\n [-9, 5, 2, 2, -4, 3],\n [10, -1, 8, -2, 7, -2]]\nB =\n[[5, -10, 2, -3],\n [-10, 6, 4, -3],\n [9, 7, 10, -8],\n [4, 9, -5, -7],\n [-4, 9, 9, 7],\n [8, 5, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 7, 3, 10, -1, 8],\n [6, 9, -6, -9, -4, -3],\n [-7, 8, -3, -6, -2, 2],\n [1, -8, -3, -3, 6, -6]]\nB =\n[[-3, -6, 5, 10, 3],\n [5, -4, 8, 3, -2],\n [-2, 2, -2, 9, -7],\n [-9, -9, 4, 1, 10],\n [-7, 0, -9, 9, 9],\n [2, -2, -10, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 4, -1, 5, -3],\n [-2, -7, 1, -6, 2],\n [7, -5, -4, 1, -6],\n [-2, 5, -9, 7, 7],\n [-4, 2, 5, -10, 4],\n [4, 2, 0, 8, -7]]\nB =\n[[8, -5, -6, 8, -2],\n [-7, -2, -9, 9, 8],\n [-2, 8, 2, 6, -2],\n [1, -9, -2, -1, -3],\n [-8, 10, -9, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 6, -1, -1],\n [7, -1, 10, 2],\n [1, 1, 10, 4],\n [3, -10, -9, 2]]\nB =\n[[0, 9, -3, 4],\n [3, 2, -8, 8],\n [6, -4, 3, 5],\n [-8, -3, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 3, -2, 2],\n [-7, -9, -6, -3],\n [-2, -1, 9, -3],\n [6, -1, -9, 8]]\nB =\n[[-9, -7, 10, -9, -2],\n [10, -10, 8, 0, -6],\n [0, -5, -9, 3, 3],\n [-1, 0, -8, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, -4, 1, -8, 5],\n [-4, 6, -8, -1, 3, 5],\n [10, 6, 6, -4, 1, -3],\n [1, 8, -1, 2, -5, 4],\n [-8, 8, -6, -2, 2, 5]]\nB =\n[[6, 4, 5, -10],\n [-2, 7, -9, -3],\n [6, 0, 0, 3],\n [6, 2, 3, 8],\n [10, 7, 4, -4],\n [3, -4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -9, -6, -5, -10, -1],\n [-2, 5, -6, 0, 8, 6],\n [6, -3, -3, 10, -5, 9],\n [-8, -2, 1, 5, 6, 3],\n [0, -1, 2, -9, 7, 8],\n [-8, 2, -9, -1, 1, -7]]\nB =\n[[-9, -8, -6, -5, 10],\n [5, 8, -5, 4, 3],\n [-4, -8, 0, -6, 7],\n [1, 1, 2, 5, -10],\n [-3, -5, -1, -7, 10],\n [10, 4, 7, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1773", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -2, 5, -10, 7, -3],\n [-6, -10, 6, 2, -3, -8],\n [-6, 5, 5, -8, 8, 1],\n [-10, 1, -3, -4, -7, 1],\n [5, 5, 10, 0, -1, -7],\n [-5, 2, 2, 4, 0, -7]]\nB =\n[[-10, 9, -5, 7],\n [6, 5, -8, -2],\n [7, -9, -4, -5],\n [4, 10, 6, 7],\n [-9, 10, 1, 10],\n [4, 3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-647", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -6, 1, -3, 10],\n [-2, 6, 6, -9, -5],\n [0, -6, -2, -1, 1],\n [1, 10, 0, 10, 2],\n [-2, 2, 8, 9, -8],\n [8, 10, 10, -7, 2]]\nB =\n[[3, -3, 0, -1, -1],\n [2, -2, 10, -5, 4],\n [1, 9, -9, -7, -1],\n [5, -7, 2, 2, -3],\n [-8, -5, 7, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[1, 9, 5, 10, -3, 6],\n [4, 3, 2, 1, -5, 10],\n [4, -6, -2, -5, 3, 3],\n [-1, -5, -2, -4, -2, -1],\n [8, 8, -9, -7, -1, -7],\n [-10, 10, 0, -7, 7, 4]]\nB =\n[[-6, 1, 8, -5],\n [3, 4, 4, 8],\n [-5, 6, 10, -6],\n [1, -2, 7, -3],\n [6, -3, -4, -8],\n [-7, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, 5, 10, -4, 6],\n [8, -1, 2, 9, -4],\n [0, -1, -2, -10, 10],\n [0, -1, -7, -9, 3]]\nB =\n[[0, 9, -9, 10, -5],\n [1, -9, -9, -9, 3],\n [-10, -3, -8, 4, 2],\n [-8, 4, 0, 5, -4],\n [-10, 8, 8, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 3, -2, -9, 5],\n [-3, -1, 9, 0, 7],\n [-9, 6, 6, 8, 3],\n [10, -4, -4, -8, 0],\n [-8, 9, 5, -2, -6]]\nB =\n[[6, 0, -3, 5],\n [6, 0, -5, -9],\n [3, -4, 4, -10],\n [2, -4, 1, 8],\n [1, -3, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1049", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, 0, 6, 6],\n [4, 3, -6, -1, -7],\n [9, 5, -6, -6, -4],\n [-5, -8, -10, 9, 10],\n [-8, 9, -3, -7, -1]]\nB =\n[[-6, -7, 6, -3, -4],\n [8, -2, 6, 8, 6],\n [-2, -9, 7, 1, -3],\n [0, 9, -8, 6, 5],\n [-9, 4, -2, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -6, 8, -7, 9, -2],\n [9, -2, 10, 9, 10, 0],\n [5, -10, -2, -9, 10, 1],\n [-9, -8, 5, 2, -7, -7],\n [-6, 7, 2, -10, 1, -3],\n [3, 6, 9, 10, -1, -5]]\nB =\n[[-2, 3, -8, 3],\n [5, 9, 3, 9],\n [-9, -10, 10, 8],\n [9, 5, 0, -5],\n [-9, 4, 9, 6],\n [10, 7, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2409", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 6, 1, 4],\n [-1, 7, -1, -3],\n [4, -4, -6, 3],\n [9, -2, 8, 1],\n [8, -7, -10, -6],\n [-6, 9, 10, 9]]\nB =\n[[-4, 9, -5, 5],\n [-2, 2, 5, -1],\n [10, 10, 9, -5],\n [3, -3, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1472", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, 3, -5, 0],\n [-8, -8, 8, -9],\n [8, 3, 3, 9],\n [-4, -5, -9, -10],\n [-8, 8, -3, 2],\n [-10, -8, 1, 3]]\nB =\n[[7, 10, 9, 1, -6, -7],\n [-4, 8, -1, -5, -2, 7],\n [-2, 1, -2, 7, 2, -5],\n [-9, -10, -6, -2, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 4, 3, 5],\n [7, 1, 0, -4, -10],\n [-4, 2, 6, 2, 2],\n [-6, 7, 7, 0, -9],\n [-7, 6, -3, 8, -2],\n [5, 10, 2, 1, 1]]\nB =\n[[8, -10, 0, 5, 6],\n [2, -5, -1, -3, -4],\n [-9, 8, 2, -6, -3],\n [-6, 3, 8, 2, -1],\n [-8, -7, 2, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1672", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -1, -3, -8, 0, -2],\n [-4, 1, 5, 5, -4, 9],\n [7, 1, -10, -1, -4, -3],\n [6, 3, 10, 4, 8, 10]]\nB =\n[[-5, 9, -6, 1, 8, -8],\n [-3, 1, 8, -5, 3, -1],\n [-8, -1, -8, -4, -9, -10],\n [8, 3, -7, -4, 4, 4],\n [-2, 4, -7, -10, 10, 7],\n [4, -8, -3, -3, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 1, -2, 0, -10, 4],\n [-9, -10, -9, 0, -2, -6],\n [3, -2, -5, -9, 4, -1],\n [0, -6, -9, -5, 10, 1],\n [-6, -7, -9, -8, 6, -6],\n [8, -7, -8, -10, 1, -5]]\nB =\n[[-8, 1, 9, 6, 3, 0],\n [6, 6, -9, -6, -1, 7],\n [4, -5, -2, 10, 8, 8],\n [10, -1, -3, -8, -2, -5],\n [-1, 4, -4, 2, 7, 6],\n [-9, 0, 4, 4, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-816", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 5, -2],\n [4, 2, -1, -6],\n [-7, 4, 10, 0],\n [-6, -5, -4, -10],\n [0, 2, 4, -4]]\nB =\n[[2, -1, 5, -7, -5, 3],\n [6, -7, -5, -6, 2, -8],\n [-1, -2, -7, -6, 9, 1],\n [0, 7, -10, 8, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -9, -4, -4, -2, 8],\n [8, 2, -4, -3, 8, -3],\n [-10, -2, -6, -7, 2, -10],\n [8, 5, -2, -6, -7, -3]]\nB =\n[[2, 6, -10, -4, -7, 9],\n [0, -6, -1, -8, 5, 4],\n [0, 9, -1, -1, 0, -5],\n [-9, -3, 7, 7, -2, 4],\n [10, -5, 9, -2, 1, -9],\n [4, 2, -4, 9, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -1, -5, 6, 9, -6],\n [8, 0, -3, -2, -1, -9],\n [10, -4, 3, 8, 10, -2],\n [2, 6, 3, -3, -2, 10],\n [1, 2, -7, -9, -4, -2],\n [-1, 8, 0, 3, -7, 6]]\nB =\n[[-3, 9, 4, 10, 2],\n [7, 5, 2, 2, -6],\n [6, -8, -5, 8, 3],\n [7, 5, -9, -1, -5],\n [-10, -1, -2, -8, 9],\n [2, -4, -8, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 7, -8, -1],\n [-10, -1, -7, 7],\n [10, -8, 6, 9],\n [4, -3, 3, 8],\n [8, 6, 4, -8]]\nB =\n[[7, -10, -9, -6, -8, 5],\n [7, 1, 1, 10, 1, 5],\n [-7, 3, 5, 8, -7, -2],\n [10, 3, 6, 4, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1517", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -9, 10, 9],\n [4, 7, 0, 2],\n [1, 0, -5, 8],\n [-4, 3, -8, -1],\n [0, -3, 3, 4]]\nB =\n[[7, 5, -8, 7],\n [7, -4, -3, 7],\n [-10, -2, -8, -6],\n [4, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 10, -3, 4],\n [1, -8, 7, -7],\n [-7, 6, 9, 3],\n [6, 7, 4, 10],\n [-6, 1, -3, -8],\n [7, 7, 1, 3]]\nB =\n[[6, -7, 7, 5, -8],\n [7, -4, 5, 4, 2],\n [2, 5, 0, 8, -9],\n [6, 1, 10, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 10, -4, 2, -6, -5],\n [-1, 9, 2, -3, -10, -4],\n [9, 0, 9, 5, -2, -2],\n [2, -10, -9, 0, -3, 5],\n [9, 7, -8, 1, -6, 7]]\nB =\n[[-2, -10, 2, 6, 4],\n [5, -6, -10, -4, 3],\n [-3, -6, -4, 8, 9],\n [10, 4, 7, -7, 9],\n [0, 6, -10, 7, -5],\n [-2, 4, 4, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[6, -1, -1, -6, 5],\n [-3, -2, 8, -3, 3],\n [-5, 4, -8, 2, -9],\n [-5, -3, -1, -8, 1],\n [-6, -7, 10, -2, -8]]\nB =\n[[-1, -10, -1, -6],\n [4, 6, 9, -9],\n [-9, -8, -3, 4],\n [2, -5, -2, -7],\n [9, -6, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-2, -6, 9, 4],\n [5, 10, 0, 0],\n [-4, -5, 3, -9],\n [-6, 7, 3, -2]]\nB =\n[[-2, 0, 7, 4, 4],\n [-6, 8, -10, 10, -4],\n [8, -7, -5, 5, 4],\n [9, -8, 9, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -4, -8, 2],\n [9, -6, 0, -9],\n [8, 7, 9, 5],\n [-6, 7, -4, 4],\n [1, -1, 8, -5],\n [-5, 0, 5, -5]]\nB =\n[[8, 2, -1, -2],\n [-2, -7, 2, 4],\n [5, 5, 2, 8],\n [-5, 0, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -6, 10, 0, 10],\n [-3, -7, 8, 10, 10],\n [-2, -3, 8, -8, -8],\n [-1, 9, -8, 3, -10],\n [3, 4, 10, -1, -5]]\nB =\n[[-10, 5, 9, -4, 1, 9],\n [3, 3, 6, -3, 0, 1],\n [8, 2, -4, 3, 7, 4],\n [-3, 5, 6, -1, 8, -4],\n [-6, -2, -10, 2, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "595", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, -8, -3],\n [-6, 0, -4, 9],\n [5, 6, -8, 2],\n [4, 10, 4, -2],\n [-2, 0, -2, 5],\n [9, 6, 9, 5]]\nB =\n[[5, 1, -9, -7],\n [4, 8, 4, -10],\n [8, 2, -9, 1],\n [7, -4, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -6, -8, 1],\n [-2, 5, 7, 1],\n [5, 4, 9, -3],\n [-3, -8, -2, -3],\n [1, 3, -1, 10],\n [-5, 8, -1, -1]]\nB =\n[[0, -9, 8, 7, -4],\n [10, -1, 2, 9, -9],\n [8, -1, 1, -10, 5],\n [6, -3, -4, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1566", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -9, 1, -9, -5, 5],\n [3, -7, -8, 9, -3, 10],\n [-9, 8, 4, 0, 10, 7],\n [0, -4, -2, -7, 1, 4]]\nB =\n[[5, -4, 10, -9],\n [-8, 6, -1, 3],\n [3, 5, 0, -8],\n [-8, -2, -9, 9],\n [-1, -5, -10, -10],\n [-6, -3, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 10, -3, 5, -5, -8],\n [2, 7, 6, 10, -3, 0],\n [-1, -1, -6, -7, 1, -1],\n [0, -8, -4, 3, -3, -6],\n [-10, 1, 4, 1, 7, -6]]\nB =\n[[-1, 9, 7, 1, 5, 7],\n [2, -10, -5, 7, -1, -4],\n [1, -8, -10, -5, 5, 3],\n [1, 10, -4, 1, 2, 10],\n [6, -2, 6, -8, -3, -10],\n [4, -4, 2, -9, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[6, -6, -10, -8, 8, 7],\n [-2, -7, -7, -9, -2, -3],\n [2, 6, 10, -1, -6, 4],\n [-9, 7, -8, 7, -2, 5],\n [-5, 2, 0, 1, -8, -4]]\nB =\n[[-6, -1, -9, 5, 6, -6],\n [10, 10, 1, -4, -3, -8],\n [-9, -6, 3, -2, -10, 0],\n [-2, 1, -3, -6, -4, 7],\n [-8, 0, -9, 0, 1, 1],\n [-5, -9, 4, 5, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -5, -3, 7],\n [1, -5, -3, -3],\n [-5, 0, -7, -1],\n [-6, -4, 4, 0]]\nB =\n[[3, -1, -2, -8, 10],\n [8, -9, 8, 3, -5],\n [1, -6, -3, 7, -10],\n [-9, -1, 8, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "938", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 7, -1, 9],\n [10, 6, 4, -10],\n [0, 0, 1, 0],\n [-2, -5, -9, -7]]\nB =\n[[-7, 5, 7, 10, 8],\n [0, -2, -7, -1, -8],\n [10, -8, -6, -2, 3],\n [9, 1, 9, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -9, -7, -8],\n [10, -2, 5, 6],\n [0, -4, -10, -1],\n [3, 4, 8, 2],\n [-4, 10, 5, 5]]\nB =\n[[-8, 8, -7, -6, 10],\n [6, -6, -1, -8, -2],\n [-6, -6, -6, -5, 8],\n [-1, 9, 10, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1683", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, 6, -3, 0],\n [-4, 7, 0, 10, 9],\n [1, 3, 0, -3, 4],\n [9, 10, -3, -7, -4]]\nB =\n[[7, -1, 3, 2, 9],\n [7, 3, 3, -2, 8],\n [-8, -3, -7, -7, 5],\n [9, -5, 8, -4, 9],\n [-6, -2, 5, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 9, 0, 6, -9],\n [8, -1, 2, -5, -7],\n [7, -3, 4, 8, 7],\n [6, -9, 8, 9, 10]]\nB =\n[[-1, -5, -1, 3, -5, 9],\n [-5, 3, -8, -6, 9, -3],\n [-8, -10, -1, 5, 8, 9],\n [6, -6, 2, 7, -6, 5],\n [10, -4, -7, 0, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, 4, 2],\n [-2, 9, 5, 6],\n [-6, -2, -2, 0],\n [-9, 0, 5, -7]]\nB =\n[[3, -2, -8, 3, -5, 9],\n [4, 6, 0, -6, -7, 10],\n [-10, -3, 9, 3, 9, 8],\n [-1, 8, 3, -6, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[1, -1, 5, 1, -9],\n [-8, 10, 8, 0, -4],\n [5, -10, -10, -2, 0],\n [9, 5, -6, -7, 9]]\nB =\n[[7, -3, 5, -3],\n [1, -6, -9, 7],\n [-9, 4, -10, -2],\n [9, -5, 10, -3],\n [9, -8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -3, 8, 2],\n [4, 2, 2, -10],\n [5, 6, 2, -5],\n [-4, -1, -8, 6],\n [-6, 3, 9, 2]]\nB =\n[[-6, 0, 9, 6, -10],\n [8, -6, -1, 8, 9],\n [-10, 7, -10, -4, 5],\n [6, 9, 1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 9, 9, -1],\n [1, -2, 9, 5],\n [-8, -6, 3, 2],\n [9, -9, 2, -3],\n [-4, 5, -2, 6]]\nB =\n[[-6, -10, -2, 4, -8],\n [-2, -7, -6, 8, 10],\n [9, -8, -1, 5, -3],\n [-4, -2, 6, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1385", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -5, -5, 6, -10, 5],\n [6, 0, 4, 7, 0, -10],\n [-7, -5, -4, 6, 2, -3],\n [9, 10, 3, -6, 6, 1],\n [0, 1, 2, -9, -6, -2],\n [1, -9, -1, 5, 5, -4]]\nB =\n[[3, 1, 9, -7, 3, 10],\n [-9, 4, 2, 3, -8, 1],\n [-1, -1, -2, -9, -2, -8],\n [-10, -1, 7, 3, -4, -7],\n [-10, -5, -10, -1, 2, 0],\n [-9, -1, -5, 3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "522", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, 4, -3, 6],\n [-6, -7, -10, 3],\n [-9, -8, -4, 10],\n [-5, 3, 1, 2],\n [-4, 2, -9, 8]]\nB =\n[[-2, -8, 8, -7],\n [1, 10, 4, -4],\n [-2, -2, -7, 5],\n [-8, -1, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -4, -10, 1, -8, -10],\n [8, -5, 7, -8, -9, -5],\n [-2, 0, -7, 8, 9, 6],\n [7, 0, 8, 3, 3, 7]]\nB =\n[[-10, -8, -8, 9],\n [-6, 1, -9, -9],\n [-1, -3, -3, 4],\n [-9, 10, -3, 6],\n [-4, 3, -9, 5],\n [-1, 9, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, 5, -10, 3, -3],\n [8, 5, -8, -8, -5, 0],\n [7, -3, 6, 8, 7, -7],\n [4, -8, 4, -2, -3, 5],\n [-1, -4, -5, -1, -10, -5]]\nB =\n[[-6, 8, -9, 10, 2, -3],\n [10, -1, -1, 2, 10, -8],\n [-7, -8, 3, -1, -9, -6],\n [9, -1, -4, 2, 8, -1],\n [-3, -10, 5, 8, -8, -4],\n [-3, 0, 5, 4, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 4, 8, 0],\n [-9, 0, 8, 6],\n [2, -5, -7, 6],\n [-3, 2, -2, -3],\n [-7, -9, 1, 4],\n [-7, 6, 3, 0]]\nB =\n[[8, -10, -9, -3, 7, 10],\n [0, -3, -7, 8, -7, 3],\n [4, 8, 9, 5, -4, 7],\n [2, 7, -10, -8, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[10, -5, 5, -4],\n [-2, 7, -10, 0],\n [-8, 5, 9, -5],\n [-4, 0, -5, -2],\n [-6, -10, -4, -3],\n [-2, 3, -5, 3]]\nB =\n[[-5, 2, 6, -6, -1],\n [-6, 7, 5, -3, -10],\n [-6, 8, 2, -5, 6],\n [-7, 5, -8, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -10, 3, 10, -6, 6],\n [9, -3, 10, 8, 7, 0],\n [8, -8, -9, 1, -9, -1],\n [7, -6, -2, -2, 2, 9]]\nB =\n[[-8, -4, -4, -8, -10, 9],\n [-8, 1, -7, 2, -7, -7],\n [7, 6, -10, 7, -1, 7],\n [-4, 6, 4, 2, 6, 3],\n [-8, 3, -6, 9, 7, -8],\n [7, -4, 1, -5, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2398", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -9, 1, 1],\n [9, -9, -2, 5],\n [3, -10, -7, 0],\n [10, 8, -5, 4],\n [10, 4, -6, -7],\n [-2, -1, 6, 3]]\nB =\n[[3, 5, 1, 7, 6, 3],\n [10, -3, -5, -5, -1, -1],\n [-2, 5, 10, -3, 10, -5],\n [1, 9, -8, -9, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1903", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, 4, -4, -3],\n [6, 4, 0, -6, -9],\n [-1, 1, 4, -8, 6],\n [-8, 3, 1, -5, -2],\n [-3, 0, 8, 8, 9],\n [1, 6, -7, 2, 10]]\nB =\n[[-9, 6, -10, 3],\n [6, 0, -4, -9],\n [-10, -7, 8, -1],\n [-3, 6, 9, 5],\n [-4, 5, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-313", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 1, -9, -7, -7, 5],\n [-8, -6, 3, 4, 7, 5],\n [5, -3, -4, -1, 5, -10],\n [-10, -5, -8, -5, -3, -7]]\nB =\n[[-10, 1, 9, -7, 1],\n [-2, 2, -3, 9, 6],\n [-6, 1, 10, -10, 9],\n [-4, 7, 3, -3, 5],\n [2, 0, 1, -5, 2],\n [5, -4, 3, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 6, 8, 3],\n [1, 5, 1, -2],\n [2, -6, 2, -5],\n [0, -7, 5, -7],\n [4, 5, -1, 4]]\nB =\n[[4, -5, 8, 9, 3],\n [4, 4, -2, 9, 0],\n [6, 0, -10, -8, 3],\n [6, -3, -5, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -6, 2, 6, 6, -6],\n [1, 2, -7, -5, 9, -7],\n [-8, -10, 10, -2, -5, -10],\n [-2, 0, 6, 7, -4, -6],\n [4, 0, -7, -7, -7, -7],\n [9, -1, -4, 10, -2, 6]]\nB =\n[[-7, 8, 0, 2],\n [-10, 1, -10, -8],\n [-4, -7, -9, -5],\n [-9, -6, -5, 7],\n [0, -4, 2, -5],\n [2, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, -1, 0, 0],\n [4, 2, -10, -7],\n [-7, 5, -2, -1],\n [2, 9, 5, 0],\n [-6, -2, 5, 10]]\nB =\n[[5, 5, 5, -9],\n [-3, 7, -1, 2],\n [7, 6, -6, -3],\n [6, 9, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 9, 4, -1, 3],\n [-4, 9, -2, -5, 4],\n [-3, -9, 0, 7, 5],\n [5, -8, -7, 6, 2]]\nB =\n[[-6, 3, -9, 9, 6, -4],\n [5, -2, 8, -2, 1, 2],\n [7, -8, 0, -4, 3, 9],\n [-1, 8, 3, 0, 4, -2],\n [7, -1, -2, -6, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1412", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -1, 6, -6],\n [9, -8, 2, 6],\n [7, 5, -7, -5],\n [-9, 6, -1, 0]]\nB =\n[[2, -5, 9, -9, 4, -3],\n [10, -5, -1, 3, 6, 6],\n [-4, 7, 3, -6, -7, 9],\n [-10, 5, -2, 0, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-4, 4, 8, 5, -4],\n [9, 0, -5, 1, -10],\n [5, 9, -8, -3, 6],\n [0, 7, 9, -8, -1],\n [-6, 3, -6, 6, -4]]\nB =\n[[-6, -4, 6, -3, -3],\n [1, 5, 5, -5, 7],\n [1, -2, -10, 5, -10],\n [6, -10, -9, -1, -2],\n [10, 9, 4, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, -3, -6, 2],\n [6, -8, 5, -10, -3],\n [-4, 7, -4, 2, 10],\n [-10, 2, 0, -6, 8],\n [-3, 3, -9, -10, -6]]\nB =\n[[5, 8, -1, 8],\n [-4, -7, 4, -2],\n [8, -2, -8, 0],\n [-3, -6, -8, 7],\n [-6, -5, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, 2, 8, -1],\n [-6, -10, 8, -10, 4],\n [5, 4, -4, -2, -6],\n [-7, -5, -5, -2, -5]]\nB =\n[[5, 5, 6, -8],\n [5, 1, -5, -6],\n [-4, 0, -10, 4],\n [8, -7, -5, -7],\n [4, 1, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -9, 3, 2, -3, 0],\n [-9, 0, 1, 9, 9, -3],\n [-7, 10, -5, 3, 10, 4],\n [9, -5, -7, 1, 3, 0],\n [1, -9, -10, -9, -7, -4],\n [9, 6, -6, 8, -3, -4]]\nB =\n[[6, -5, -7, 2],\n [7, 0, -1, -9],\n [8, -9, -1, -5],\n [-4, -10, -9, -8],\n [0, -2, -5, -1],\n [2, 9, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-419", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-8, -5, 8, -9, -10, -8],\n [-10, 3, 3, -4, 3, -2],\n [9, -2, 1, 2, -9, 10],\n [-4, 5, 0, 3, 0, -4]]\nB =\n[[4, -2, -9, -5, 9],\n [-1, 2, -6, -3, -8],\n [10, 6, -8, 5, -2],\n [-8, -8, -7, 2, 8],\n [-4, 10, -3, -6, -5],\n [-10, -5, -3, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, -3, -1],\n [4, -4, -9, 5],\n [6, -8, -10, 1],\n [7, -2, 10, 3],\n [6, -8, 3, -1]]\nB =\n[[5, -4, 8, 0, -1, -9],\n [-3, 3, 3, -8, -8, 3],\n [3, -9, -5, -1, -7, -6],\n [-1, 1, -6, 1, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 4, 5, 1, -3, -8],\n [3, 3, -6, -7, -1, -6],\n [10, 1, -1, 3, -7, -1],\n [-6, -8, 6, -3, -2, -4],\n [-2, 8, 5, -4, 1, 2],\n [2, -7, -8, 5, 0, -10]]\nB =\n[[-3, -8, -9, 9, -8],\n [8, -3, -7, 4, 7],\n [1, -10, 0, 2, 7],\n [-6, 9, -7, 4, -3],\n [-7, -5, -4, 1, 2],\n [-8, -10, 8, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -1, 1, -2, -1, 1],\n [-5, -10, 6, 0, -7, 10],\n [-4, 3, 9, 4, 10, 3],\n [-9, 7, -5, -9, -10, -8],\n [-8, -9, 3, 8, 7, 4]]\nB =\n[[7, 6, 0, -8, -8],\n [-7, 0, 7, -7, 7],\n [7, 7, 5, 6, 10],\n [2, 3, -7, 0, 10],\n [8, -3, 5, -2, 3],\n [1, -6, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1879", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -2, 4, 1, -7, -7],\n [-2, -8, -10, -8, 2, -1],\n [-6, -9, 0, 7, -9, -2],\n [-10, 10, -1, -6, 6, 6]]\nB =\n[[-8, 7, -9, -7],\n [9, -7, 3, 7],\n [-5, 3, -2, 9],\n [7, 5, -7, -4],\n [-10, 5, 8, 4],\n [10, -5, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-7, 0, 5, -1],\n [-4, 9, 2, -1],\n [-8, 1, -5, 2],\n [-9, 6, 3, 7],\n [9, 3, -3, -8],\n [8, 8, -6, 5]]\nB =\n[[6, -2, 3, 8],\n [3, 1, -8, 6],\n [-8, 5, 4, -3],\n [-6, 0, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, -6, 10, -4, 6, 8],\n [10, 1, -10, -9, -10, 0],\n [-10, -4, -5, -3, -4, -1],\n [-7, -2, -9, 6, -8, 0],\n [-5, -9, 1, -7, 4, -2],\n [6, 4, 6, 4, -2, -9]]\nB =\n[[-8, -9, 3, -7, 5, -8],\n [10, 3, 10, 4, 0, -5],\n [4, -9, -10, 3, -7, 5],\n [-5, 2, 0, 4, -3, 2],\n [-7, 10, -10, -4, -5, -1],\n [8, 2, 0, -5, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -3, 2, -7, -7],\n [1, 5, -4, 0, -6],\n [7, -1, -10, 8, 0],\n [2, -3, -4, -7, 0],\n [-4, -4, -9, 3, 4],\n [4, -2, 1, -7, -2]]\nB =\n[[-2, 0, -6, -3, 1],\n [10, 6, 6, 0, -10],\n [-10, -2, 9, -1, 6],\n [6, -10, 4, -8, 6],\n [10, 6, -4, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 5, 4, -8, 9],\n [-9, 10, 5, 8, 8],\n [-5, 9, -3, -4, -6],\n [2, 3, -7, 4, -3]]\nB =\n[[-4, -8, 4, 0, 8, 7],\n [0, 3, -5, -3, -2, 2],\n [-3, 1, 4, 9, -3, 8],\n [6, 6, -7, -2, -3, -2],\n [5, -2, 8, -6, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-210", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 8, -7, 9, 9],\n [7, -1, 0, -4, -5],\n [4, 1, -5, 1, -6],\n [-3, -7, -10, -2, 8]]\nB =\n[[7, 2, -10, 6, -1],\n [1, 0, 5, -6, -5],\n [-1, -2, -3, -8, 1],\n [4, -3, 2, 5, 5],\n [-6, -2, 5, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, -10, -1, -7],\n [-10, 9, 1, -3, -1],\n [0, -4, -4, -6, -1],\n [5, 7, 10, 10, 6],\n [-10, 3, -8, 10, -8]]\nB =\n[[-2, 1, 1, 3, -10],\n [3, -9, 3, -5, 1],\n [-4, -8, 2, -2, 7],\n [-5, -2, 0, -9, -3],\n [8, -8, 8, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 1, -7, -8],\n [8, 0, 9, 5],\n [8, 4, 6, 5],\n [-5, 9, 10, -2]]\nB =\n[[7, -6, -10, -6, -10, 1],\n [-7, -7, 7, 0, -10, -3],\n [1, -9, 2, 7, -4, -2],\n [9, -10, -7, -10, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2298", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[7, -9, -7, 5],\n [-4, -2, 1, 7],\n [-5, 7, 10, 8],\n [-9, -9, -4, -3],\n [4, -7, -2, 8]]\nB =\n[[3, -7, 3, -5],\n [-5, 3, 8, -7],\n [-8, -4, -8, -1],\n [0, -10, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -5, -4, -10, 8, -7],\n [8, 6, -5, 4, 7, -8],\n [-8, 5, -3, -5, 6, 8],\n [9, 2, -9, -4, -1, 8],\n [-6, 2, -7, 3, 2, -9],\n [6, -9, 5, -1, 4, 8]]\nB =\n[[3, 10, 7, 8],\n [-1, 4, -8, 2],\n [8, 3, 9, 4],\n [-4, -4, -9, -3],\n [4, 2, -9, -8],\n [5, 1, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1891", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -2, 2, 2],\n [7, -1, 4, 1],\n [5, -10, 1, 7],\n [3, -2, 5, 8]]\nB =\n[[1, -2, -3, 6],\n [8, -5, -9, -5],\n [-2, -2, -5, 6],\n [3, -7, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[-4, 6, -3, -4, -6, 5],\n [-2, 3, -10, 0, 2, -5],\n [-1, -8, -1, -6, 0, 3],\n [-10, 8, 3, 0, -6, -3],\n [1, -4, 0, 3, 0, 6],\n [-8, -7, -10, -7, 6, 3]]\nB =\n[[0, 4, 10, 5, -10],\n [-6, 7, 5, 6, -4],\n [-1, -7, -10, 4, -1],\n [-2, -5, 3, 3, -3],\n [-3, -4, 7, -9, 6],\n [-2, 9, 3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -2, -4, -5],\n [8, -3, 6, 0],\n [6, 3, 8, -10],\n [10, 5, -4, 10],\n [-8, 4, 3, 4],\n [7, -6, 2, -10]]\nB =\n[[-8, 9, 4, 6, 4, 9],\n [4, 6, -6, -4, -8, 7],\n [-6, 6, 2, 10, -2, 6],\n [-7, -9, -3, 5, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2388", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 0, 6, 10],\n [6, -9, -8, 8],\n [5, 1, -7, 4],\n [10, -7, -3, -7]]\nB =\n[[-5, -1, 6, 9, 1],\n [9, 8, 1, -9, 6],\n [8, 0, -8, 7, 8],\n [0, -5, -7, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 3, 7, -3, 2],\n [3, 9, 4, 5, 7],\n [-3, -7, -10, -7, 3],\n [6, 1, 0, -9, -2],\n [-1, -8, -5, -3, 3]]\nB =\n[[10, -2, -3, 9, -1, -5],\n [-3, -4, 2, -2, -7, -9],\n [-4, 4, 0, -1, 8, -10],\n [8, 8, 3, 10, 1, -10],\n [6, -8, -9, -2, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 4, 6, -4],\n [1, 10, 4, -3],\n [-4, -2, 9, 6],\n [7, 3, 8, 8]]\nB =\n[[-7, -4, 6, 2, -5],\n [10, -6, 2, 9, 4],\n [1, -10, 2, -5, 10],\n [-4, 5, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, -3, 3],\n [-2, -10, 6, -9],\n [1, -10, 4, -5],\n [5, -7, 0, -7]]\nB =\n[[7, -3, 2, 4, -5, 5],\n [-4, -6, -3, 1, -2, -9],\n [-6, 5, 2, 4, -4, -10],\n [6, -3, -2, 3, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "774", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 4, -3, 10, -8],\n [-9, -9, 2, 4, -8],\n [-8, 10, 6, 7, -6],\n [-1, -4, 0, -5, -8],\n [-2, 4, -3, -8, -3]]\nB =\n[[8, 4, -1, 10],\n [9, -9, 8, 9],\n [-2, 7, 4, 3],\n [8, 4, -9, 2],\n [-9, -10, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 9, 5, -9, -6],\n [-1, -10, -6, -6, 10],\n [0, 8, -6, 5, 6],\n [7, 8, 1, -3, 2]]\nB =\n[[1, 1, -4, -5],\n [6, -1, -9, 5],\n [-9, -3, 5, -10],\n [-1, 3, 7, -7],\n [2, 2, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -4, -8, 3],\n [-4, -2, -6, -7],\n [-9, 10, -3, -2],\n [-9, 4, -6, 1],\n [-4, 0, 8, 5],\n [-5, -3, -10, -2]]\nB =\n[[8, 6, 1, 9],\n [-5, 0, -6, -9],\n [5, 9, 9, -5],\n [-10, -10, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1296", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 0, 4, 9, -1, -9],\n [-8, 0, 6, -8, 0, 1],\n [-4, 6, -2, 1, -10, 3],\n [3, 8, -7, -1, 3, -6],\n [-10, -8, -4, 9, -6, -3],\n [-3, -2, -4, -5, 9, -5]]\nB =\n[[10, 3, 7, 6, 4, 9],\n [-8, -8, -2, 5, 0, -3],\n [0, 9, -5, -8, 1, 3],\n [7, -1, 8, -10, 9, -2],\n [5, 6, 9, 3, 10, -6],\n [4, -10, -7, -4, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2726", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -7, -9, 2, -2, -9],\n [2, -4, 4, -8, 8, 10],\n [-3, 7, 3, 10, -8, 6],\n [-8, 6, 0, -7, 6, 7]]\nB =\n[[8, -1, -8, -2, -4],\n [0, -2, 2, 0, -5],\n [-8, 5, 3, -5, 0],\n [0, -1, 4, -2, 10],\n [5, -2, -5, 6, 9],\n [-2, 9, 9, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[6, 5, -5, -7],\n [10, -8, -7, 10],\n [-1, 8, -5, -9],\n [-10, 8, 10, -9],\n [9, -10, -6, -2],\n [4, 6, 1, -10]]\nB =\n[[-10, -10, -9, -4, 10],\n [-8, 0, 4, -8, -8],\n [10, -5, -9, -1, -1],\n [-9, -4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[5, -3, 5, 1],\n [-5, -10, -6, -5],\n [-7, 4, -4, -10],\n [3, 2, -9, -5],\n [6, -2, 1, 7]]\nB =\n[[-1, -1, -1, -9, -6],\n [0, -9, 7, 10, 3],\n [1, 0, 1, 4, 7],\n [-7, -7, -1, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -2, 10, -7, -10, 2],\n [8, -3, 10, 0, -1, -4],\n [0, -9, -6, 0, 1, -8],\n [3, 3, -8, -6, 0, 2],\n [-1, 8, -3, 2, -5, 1],\n [10, -2, 4, 4, -8, -2]]\nB =\n[[-4, -2, -10, -7, 5, -6],\n [-6, -3, 3, 0, -5, 2],\n [8, -4, -1, -5, 2, 4],\n [-4, -2, 3, -7, -10, -3],\n [7, -2, 7, 2, -9, 6],\n [8, -4, -9, -2, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-676", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 10, 0, -10, -9, -7],\n [9, 2, 5, 10, 4, 2],\n [0, -10, 0, -8, 2, -2],\n [2, -4, 6, 2, 3, -1]]\nB =\n[[-10, -8, -7, -8],\n [10, -7, 1, 2],\n [7, -8, 10, -7],\n [-2, -5, 9, 4],\n [0, 10, -5, -7],\n [4, -3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-545", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 8, 7, 10, -1],\n [-3, -7, 3, 4, 8],\n [-8, 2, 9, -8, 10],\n [-8, 6, -4, -9, 0],\n [9, 6, 2, -5, 3]]\nB =\n[[-4, 0, -4, 2],\n [0, -7, 5, -7],\n [5, 4, 5, 3],\n [-2, 3, -7, -5],\n [3, 9, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -3, 2, 5, 8, 2],\n [6, -1, -5, 2, -4, -8],\n [-5, 8, 8, 5, 0, -1],\n [1, -5, 0, 7, -6, 0],\n [-3, 0, -10, -7, 3, -4]]\nB =\n[[-3, -4, 8, -5],\n [5, 2, 7, 7],\n [-10, -9, -10, 0],\n [6, -1, 10, -10],\n [-1, 10, 8, 5],\n [1, 2, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 6, -3, -4],\n [9, 2, -4, 9],\n [4, 6, -1, 6],\n [7, 1, 8, 5]]\nB =\n[[5, -7, -5, -2],\n [0, -7, 3, -3],\n [2, 1, -2, -1],\n [10, 10, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[10, -10, 6, -4],\n [0, -1, 2, -10],\n [9, -9, 9, -5],\n [-10, -8, 3, -4],\n [-5, 0, -1, 2]]\nB =\n[[5, 5, 4, -3],\n [-2, -2, -9, -7],\n [2, 0, -8, 10],\n [-5, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-3, -8, -10, -9, -7],\n [1, 2, -10, 8, -10],\n [-6, 3, -3, 0, 0],\n [-1, -10, 6, -4, 5],\n [-1, 5, -2, 6, -1]]\nB =\n[[-8, 5, -5, -10],\n [6, -9, 10, -2],\n [-8, -2, 1, -2],\n [-10, 5, -2, -10],\n [10, 7, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -1, -5, 6, -2],\n [-5, 3, -1, -10, -6],\n [-9, 5, 1, 0, -10],\n [4, 0, -9, 7, -1]]\nB =\n[[-9, 8, 7, -2, 0],\n [9, 1, -9, 9, 7],\n [-6, 2, 2, -3, 0],\n [-3, -7, 2, -2, -8],\n [-1, 4, -9, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -4, -9, -8, -5],\n [-7, 7, -7, 9, 1],\n [-10, 7, 7, -8, -4],\n [3, 9, -10, -7, -8],\n [8, 9, 5, -9, -1],\n [-8, -5, 7, -5, 3]]\nB =\n[[6, -6, -9, -7],\n [10, -3, 1, 10],\n [3, 1, -4, 8],\n [-1, 3, 6, 9],\n [-10, 3, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1982", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -9, -8, 6],\n [-6, 7, 5, -7],\n [-2, 4, -4, 0],\n [8, -6, 5, -7]]\nB =\n[[9, -9, -2, -3, -4, -6],\n [8, -6, -10, -1, 5, 2],\n [-1, -6, 1, 6, 2, -4],\n [-1, 3, -1, -3, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 7, 6, -2],\n [5, 3, -9, 8, -3],\n [7, -9, 8, -5, -7],\n [-7, -8, 1, -1, 3]]\nB =\n[[6, 7, -6, 9, 8],\n [-3, 6, -10, 7, -10],\n [6, -2, 9, 0, 2],\n [6, 4, 8, 0, 10],\n [9, -1, 1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "563", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -3, 2, 6, 8, 3],\n [-3, -6, -10, 6, -10, 6],\n [-1, 6, 8, 2, -6, -6],\n [2, 3, 4, 0, -9, 10],\n [3, 9, 2, -9, 4, 2]]\nB =\n[[0, 4, 8, 2, -8],\n [-6, -10, 7, -1, 3],\n [-5, -7, -3, -3, -4],\n [-7, -1, 2, -1, 7],\n [2, -6, 1, -7, 8],\n [4, -8, -1, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[7, -4, -8, 4, -6],\n [-4, 6, 9, -1, 6],\n [-2, 8, 3, 7, -10],\n [-8, 9, 6, -4, -3],\n [9, 7, 5, -2, -4]]\nB =\n[[-1, -4, -5, 0, 0],\n [-2, -1, -5, 6, -6],\n [-8, -6, 0, -1, -4],\n [-4, 9, -4, 0, 1],\n [8, -9, -7, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-4, 7, 9, 3, 1],\n [-5, -4, -8, 4, -8],\n [0, -2, -5, -5, -4],\n [1, 3, -7, 4, -2],\n [0, 10, 6, -1, -10]]\nB =\n[[-1, -9, 10, -1],\n [3, 5, -2, 10],\n [1, -3, -5, 3],\n [-6, 7, 4, 5],\n [-9, 9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -4, 6, -5, 0, 1],\n [3, 5, 0, -1, -4, -8],\n [-4, 6, 6, 10, 2, -3],\n [-4, -6, 6, 7, 7, 8],\n [-8, -4, 2, -4, -7, -5]]\nB =\n[[-1, 6, 10, 2, 4],\n [9, 2, 1, -6, -1],\n [10, -6, 9, -1, -7],\n [2, -8, 0, 3, 3],\n [10, 5, -3, 9, 10],\n [7, 4, 7, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -6, -3, 10],\n [-4, 5, 6, -4],\n [-1, -10, -3, -1],\n [0, 5, 5, 6],\n [-1, -10, -3, 9],\n [-9, -6, -8, -9]]\nB =\n[[-5, 6, 4, 3],\n [1, -6, -5, -7],\n [2, -10, -10, -2],\n [-6, -6, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 9, -7, -2],\n [9, 4, -5, 9],\n [-2, 1, 0, -9],\n [2, 1, -1, 7],\n [-9, -8, -9, -10]]\nB =\n[[-7, -3, 6, 5, 4, 0],\n [-7, -2, -4, 2, -10, -5],\n [-1, -10, -9, 7, -2, 10],\n [7, 2, -1, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-10, 1, 4, 8],\n [-9, 5, 6, 0],\n [7, 6, 6, -2],\n [9, 7, 8, -1]]\nB =\n[[8, 4, 3, 3, 5, -10],\n [5, -6, 3, 10, -5, 6],\n [2, 8, 7, 0, 0, 0],\n [0, 8, 4, 6, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 10, -8, 1, 2, 4],\n [5, 3, -6, -7, -6, 3],\n [-6, 4, 9, 8, 0, 7],\n [-5, 3, -7, 7, 8, -6],\n [-6, 8, -6, -1, -3, -1],\n [3, -10, -5, -1, 1, 8]]\nB =\n[[0, 3, -6, 1, -9],\n [-3, 2, -2, -4, 5],\n [10, 3, 2, -8, -10],\n [-10, 4, 3, 9, 9],\n [8, 5, 3, -7, 4],\n [-8, 3, -6, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[8, 2, -2, 3, 2, 0],\n [-8, -8, -9, 2, 5, -2],\n [8, -3, 1, 10, -10, -3],\n [10, -10, 0, -6, -6, -1]]\nB =\n[[-7, 7, -7, -4, 0],\n [8, 7, -3, 2, -3],\n [2, 10, 2, 1, -7],\n [1, 10, -1, -5, -9],\n [-8, 8, -9, 9, 2],\n [-1, -9, 5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 0, 3, 6, 10],\n [-6, -2, -3, -1, 2],\n [-9, -9, 0, -1, 2],\n [6, -2, 10, -6, -5],\n [10, 8, -5, -4, 0],\n [4, 10, 10, 2, 4]]\nB =\n[[3, 10, -6, 4],\n [1, 1, 5, 10],\n [9, 7, -2, -10],\n [1, -7, 7, -8],\n [-8, -10, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 9, 1, 6, 5, 1],\n [-2, 7, 5, 5, 5, -10],\n [6, -3, 2, 0, -6, -1],\n [-2, 5, 3, 1, -4, 5],\n [-6, -2, 5, -3, 9, 7],\n [3, -1, -1, -10, 0, -2]]\nB =\n[[9, 8, -10, -5],\n [5, 8, -7, 0],\n [-1, -1, 9, -10],\n [6, -8, 2, -6],\n [9, -9, 9, 3],\n [2, -10, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[6, -2, 3, 4],\n [-8, -6, 10, -6],\n [-1, 2, 3, 0],\n [-10, -4, -4, 7]]\nB =\n[[-8, 6, 3, -8],\n [3, 1, 5, 4],\n [10, 0, -8, 0],\n [6, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -3, 1, -7, -8],\n [-9, 9, -9, -10, -10],\n [0, -7, 0, -1, -1],\n [7, -8, 8, 10, 7],\n [3, 9, -6, 7, -7],\n [2, -7, 2, 1, 5]]\nB =\n[[-10, -7, 5, -6],\n [10, 6, -6, 7],\n [7, -5, 8, 6],\n [-9, 7, 0, -3],\n [2, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-383", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -2, 5, -7],\n [-3, 1, 9, -1],\n [10, 6, -5, 4],\n [3, 3, -10, 5],\n [10, -5, -1, 5],\n [-6, -6, -2, 0]]\nB =\n[[-8, -1, -4, -3, 4],\n [-5, -9, 10, 8, 2],\n [6, 2, 10, -3, 4],\n [5, -10, -2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 8, -7, -7, 9, -7],\n [8, -4, 9, 2, 8, -3],\n [2, 10, 1, 3, 10, 10],\n [-9, -8, 0, -9, 1, -5]]\nB =\n[[0, -7, -10, 2, -4, 7],\n [-3, 2, -9, -10, 7, 4],\n [9, -2, -6, 5, 4, 8],\n [-8, 6, -3, -9, -9, -3],\n [-10, -10, -3, 6, 3, 6],\n [0, 7, 1, -2, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-10, -2, -4, -3, 5],\n [1, -1, 9, -7, 8],\n [0, -4, 1, 2, 8],\n [5, -8, 2, -7, 2]]\nB =\n[[5, 5, 1, -4, -7, -10],\n [9, 2, 0, -5, 9, 6],\n [3, -8, 6, 4, 1, 10],\n [-5, -9, -7, -6, -4, 10],\n [-6, 7, 1, 2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 3, 5, -4, 10, 1],\n [5, 2, -5, -3, 0, 10],\n [6, -4, -3, -1, 1, 5],\n [4, -10, -5, -2, 9, 5]]\nB =\n[[-9, -5, -7, -5, -8, 0],\n [1, 0, -8, 7, 8, -10],\n [-3, -7, -7, 5, 0, -1],\n [-4, -2, 9, 0, -7, -3],\n [10, -10, -2, -9, 8, 10],\n [7, -4, -2, 5, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-9, 4, 6, 5, 2, 3],\n [9, -6, 8, 9, -5, 1],\n [2, -6, -10, 8, 3, 2],\n [9, -9, -6, -2, -3, -7]]\nB =\n[[2, 6, 7, -9, -9],\n [4, -8, -8, -6, -8],\n [4, -1, 7, 6, 0],\n [-7, -4, 7, -8, 3],\n [10, -6, -6, 7, 10],\n [7, 8, -10, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, -6, 5, -5, -8, -1],\n [10, -6, 0, 4, -3, -4],\n [5, 10, -4, -6, 1, 10],\n [9, 4, 5, -1, -2, 2],\n [-6, -1, 8, 7, -9, -9]]\nB =\n[[3, 3, 5, -7, -3, 8],\n [-1, -4, -5, 2, 2, 7],\n [3, -2, -2, -10, -10, -5],\n [4, -5, -7, 5, 2, 7],\n [-10, 8, 10, -9, 4, -9],\n [6, -5, 7, 10, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[0, 1, -8, 8],\n [-4, -8, 6, 2],\n [2, -4, 6, 7],\n [10, -1, -4, 0],\n [3, 4, 2, 3]]\nB =\n[[-9, 1, -5, 1, 6],\n [2, 3, 4, 7, 3],\n [10, 2, -1, -4, 5],\n [-6, 4, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 8, 6, 6, 5, -5],\n [3, 0, -5, 7, 9, -8],\n [-7, 0, -4, 8, -9, 10],\n [-6, 9, -4, 7, 3, -3]]\nB =\n[[9, -7, -6, -10, -8],\n [5, -3, -4, -1, -10],\n [6, -6, 9, -2, 7],\n [2, 0, -2, 1, -9],\n [-3, 4, 8, 1, -3],\n [0, 0, 9, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-371", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[4, 7, -6, 8],\n [5, 9, 2, -9],\n [8, 1, -10, -7],\n [-10, -1, 10, 1],\n [9, 2, 5, 0]]\nB =\n[[-10, -7, -7, 4],\n [2, 1, 1, -4],\n [4, 10, 4, -1],\n [-1, 0, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-3, -9, 1, -8, -8, 10],\n [-10, 6, 2, 5, 9, -7],\n [1, -8, -8, 8, -3, -3],\n [-7, 9, 4, 9, -6, 1]]\nB =\n[[1, -9, -2, -3, -7, -10],\n [-6, 9, -9, 10, 5, 7],\n [0, -4, 5, -6, 10, -9],\n [1, -1, -6, 4, 9, 1],\n [-4, 10, -2, 1, -1, -2],\n [4, 5, 2, 7, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, 10, -10],\n [4, 10, 3, -10],\n [-3, 3, 6, 0],\n [-1, -9, 10, 2]]\nB =\n[[6, 0, -1, -6, 2, 9],\n [5, -4, -1, -9, -4, -4],\n [3, -5, -3, -2, 9, -10],\n [-10, -4, -5, -10, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[-6, -5, 3, -6, 0, 10],\n [1, 7, 3, 4, 0, 6],\n [7, 2, -8, 1, 2, -5],\n [-10, -3, 1, 1, 4, 1],\n [6, -9, 6, 5, 8, -6]]\nB =\n[[-5, 2, -1, 10, -4, 7],\n [-2, 4, -8, -6, 7, -9],\n [-8, -1, -9, -3, 7, -8],\n [-8, -3, -4, 8, -10, -1],\n [5, -10, 9, 5, -10, 4],\n [7, 1, 1, 4, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -3, -6, 5, -4],\n [-7, 3, 9, 4, -4],\n [5, -1, -3, -10, -6],\n [10, 7, 0, 8, -6],\n [5, 1, -8, 4, -2],\n [2, -8, -5, -4, 10]]\nB =\n[[-1, -4, 10, -9, -4],\n [-8, 1, -6, 4, 6],\n [-5, -8, -5, 9, 7],\n [3, 0, 5, -10, 5],\n [10, -7, -2, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -10, 0, 2],\n [5, -5, -3, 10],\n [-6, -9, 8, 1],\n [8, 6, 10, -10],\n [4, -3, 6, 7],\n [-7, -3, -5, -4]]\nB =\n[[1, 6, -3, 8, 4],\n [-2, -9, -10, 10, -8],\n [6, -6, 10, -3, -8],\n [9, -3, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 4, 10, -10, 5, 0],\n [7, 2, 5, -10, 10, 10],\n [7, 3, -10, 6, 7, -8],\n [-6, 9, -7, 0, -5, 3],\n [-5, -2, -1, -3, 4, 10],\n [10, 2, -6, -1, 8, -6]]\nB =\n[[-2, 9, -7, 5, -5, 5],\n [6, -4, 3, 3, -2, -7],\n [5, 5, 7, -3, 0, -8],\n [-3, -8, -10, 1, -2, 7],\n [3, 0, 1, 6, -1, -9],\n [7, 10, 7, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -4, -8, -10],\n [-1, -5, -7, -10],\n [-7, 9, -1, -1],\n [5, -5, -7, -5],\n [10, 9, 0, 6]]\nB =\n[[-6, 10, -10, 4, 5],\n [10, -2, -10, -6, -6],\n [0, 4, -7, -9, 3],\n [-8, -8, -8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "951", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -5, 10, -3],\n [-1, -10, 10, 2],\n [-5, -5, 9, 9],\n [-1, -10, -2, 7],\n [0, -9, 10, -8]]\nB =\n[[0, 1, 10, -7, 9, 9],\n [5, 1, 1, 4, 6, -9],\n [9, -1, 9, -2, 9, -2],\n [8, 5, 2, 7, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[9, 3, 7, -9, -7, 3],\n [1, -3, -3, 5, -10, -8],\n [3, 5, -9, 6, 9, 6],\n [10, -2, -6, 7, 10, 9],\n [7, -4, 3, 5, 5, -8],\n [7, -2, 10, 9, 3, -7]]\nB =\n[[10, 8, -8, -1],\n [10, 4, -8, 6],\n [-6, 9, -4, -3],\n [8, -3, 10, 4],\n [7, 1, 9, -6],\n [6, 2, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, -10, -7, -8],\n [8, 8, -2, 0],\n [-8, 5, -7, 6],\n [-5, 3, -10, -8],\n [8, 10, -2, -1]]\nB =\n[[-3, 7, -9, -6, -7],\n [5, 1, 10, -5, -9],\n [6, 5, -9, 7, 8],\n [5, 5, 7, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, 9, 7],\n [-5, 2, -10, 3],\n [-1, -9, 8, -5],\n [-5, 10, -2, -7],\n [5, -8, 9, 1],\n [-8, 9, -3, 1]]\nB =\n[[-4, 7, 10, -8, 6, 8],\n [-4, -1, -4, -3, 5, 0],\n [-2, -8, 5, 10, -6, 2],\n [1, -10, -9, 5, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1974", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-5, 2, -8, 10, 3, 0],\n [-9, 0, -9, -7, -3, 1],\n [3, 2, -7, -5, -3, -7],\n [3, 9, -6, -5, -4, -2],\n [6, 1, -8, -2, -9, 7]]\nB =\n[[-10, -2, 3, 3, 4],\n [9, -5, -3, 10, -8],\n [-3, 7, -1, 3, 3],\n [-6, -5, -1, 8, 1],\n [-4, 7, -3, -5, -2],\n [5, 4, 8, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 1, -8, 10],\n [-7, -9, -4, 10],\n [9, -1, 5, 2],\n [-1, -5, -4, 4]]\nB =\n[[5, -8, 1, 10, 9, 4],\n [9, 7, -2, 7, 7, -7],\n [-9, 0, 1, 5, -9, 3],\n [0, -8, -4, -3, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 2, -3, 7, 4],\n [8, 9, -2, -5, -6],\n [-3, -9, 5, -3, -10],\n [-7, 7, -3, 6, 10],\n [0, 10, -6, -2, -6],\n [-4, 5, 10, 9, -2]]\nB =\n[[1, -5, 5, 8, 1, -3],\n [-2, -5, -7, 3, 10, 3],\n [0, 1, 2, -9, -7, -6],\n [7, 5, 6, -5, 0, 0],\n [3, 1, -8, -8, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 9, -7, -1, 3, 8],\n [-2, 2, 5, 7, -2, -1],\n [7, 8, -1, -2, 7, 0],\n [7, -3, 2, 6, -5, -8],\n [0, -5, 10, 0, -4, 10],\n [-8, 3, 1, 2, -3, -2]]\nB =\n[[10, 6, 0, 1],\n [6, -8, -10, -3],\n [7, 4, -5, -9],\n [6, 10, 6, -5],\n [9, 5, 7, 7],\n [-6, 7, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 1, 9, 4, 8],\n [6, 7, 8, 6, 8],\n [-3, -2, -5, 2, -3],\n [8, -4, -6, 7, -1],\n [-10, -6, -10, -5, 9]]\nB =\n[[3, -6, -5, -1],\n [-3, 6, 5, -2],\n [-8, -6, 2, -4],\n [8, -2, 5, 5],\n [-2, 7, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -7, 7, -1, 9, -1],\n [-2, 10, -6, 0, 7, 8],\n [9, 7, -3, 4, 5, -10],\n [9, -4, 9, -4, 3, -7]]\nB =\n[[9, -4, 6, 3],\n [-4, -1, 9, -2],\n [10, 5, 8, 8],\n [8, -2, 0, 4],\n [-10, 4, 8, -3],\n [6, -7, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 2, -9, -1],\n [6, -5, 3, -6],\n [10, 1, 6, -3],\n [-7, -9, 7, 2],\n [2, -3, 3, -3],\n [-8, -5, -6, 8]]\nB =\n[[-7, 5, 10, 8, -4],\n [7, 9, 6, 5, -5],\n [-8, -4, 4, -7, 0],\n [-10, 6, -7, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -10, 6, 5, 0],\n [7, -9, -10, -3, 1],\n [9, 9, 10, 5, -3],\n [3, 10, 9, -6, 8],\n [-5, 2, -2, -4, 10],\n [-10, 7, -9, -4, 5]]\nB =\n[[6, 4, 4, 4, 6],\n [-1, 5, 7, -2, 6],\n [-9, 1, -2, 3, 9],\n [2, 6, -5, -2, -9],\n [5, 2, 1, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1907", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, 2, 1, 8],\n [8, 3, 9, -1, -5],\n [9, 6, -4, 8, -2],\n [0, -6, 2, -9, 8]]\nB =\n[[6, -5, 7, 5],\n [-9, 4, 1, -4],\n [-6, -9, 0, -1],\n [2, -3, 10, -2],\n [0, 3, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 8, -9, 3],\n [2, -8, 0, 5],\n [-7, 6, -1, -6],\n [-5, 5, -4, -2],\n [6, -7, 5, 1],\n [3, 6, -6, -4]]\nB =\n[[10, 5, -8, 0],\n [-6, 4, -6, 5],\n [4, 8, -8, 8],\n [9, -2, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[1, -9, -9, 5],\n [4, -10, -7, -1],\n [10, -8, -9, 0],\n [8, -1, -7, -9]]\nB =\n[[5, 6, -9, -7, -7],\n [0, 7, -6, -4, -7],\n [9, 6, 6, 10, 4],\n [10, -7, -7, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 6, -8, 0, -10, -6],\n [4, 7, 1, -10, -6, -5],\n [10, 6, -7, 10, -7, 5],\n [-3, -5, -3, -7, -8, 3],\n [0, 9, -4, 7, -9, 10]]\nB =\n[[10, -2, 2, -8],\n [0, 9, 9, -3],\n [8, -7, 6, -6],\n [-4, -6, -7, -8],\n [-8, -1, 8, 3],\n [4, 2, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1583", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[8, 7, -4, 8, -7, -7],\n [-5, 8, 0, -4, 0, -6],\n [1, 8, 9, -7, 3, 7],\n [4, 6, 1, 9, -7, 10],\n [-5, 5, -7, 6, -5, 0]]\nB =\n[[1, -4, 4, -3, -4],\n [8, 7, 9, 6, -7],\n [8, 8, 8, -4, -7],\n [-6, -10, -1, 9, 0],\n [8, 6, 4, 0, 8],\n [-8, -1, -10, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -7, 10, 4, 4],\n [7, 1, -5, -6, 6],\n [6, 5, 7, -2, -1],\n [1, -8, -4, 3, 7]]\nB =\n[[-9, -5, -8, -2, -8],\n [-3, 8, 1, 0, 0],\n [7, -4, -9, 6, 0],\n [-7, 10, -7, 4, -8],\n [-6, -9, 2, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-814", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[5, -6, 8, 1, 3],\n [-3, -7, 4, 1, 5],\n [6, 3, 8, -1, -2],\n [6, -10, -3, -4, 2],\n [-7, 3, -8, -5, 8],\n [-7, -10, 4, 3, 8]]\nB =\n[[7, 9, -2, 6, 2, 10],\n [-9, -10, 8, 6, -10, -6],\n [5, -1, -8, -7, -1, -4],\n [-5, -8, -8, 9, 0, 7],\n [1, -4, -3, 2, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 2, 5, -1],\n [-4, 4, 9, -2],\n [3, -9, -8, 5],\n [3, 8, -1, -5],\n [-10, -6, -4, -1]]\nB =\n[[-10, -5, 0, -2],\n [5, 6, 2, 7],\n [8, -8, 6, 4],\n [-2, 2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[5, -1, 3, 0, -8, -2],\n [10, 3, 4, 9, 5, -4],\n [5, 2, -8, 8, 5, -8],\n [-8, -5, 8, -6, 6, -5]]\nB =\n[[8, -1, -3, -3, -9],\n [-8, 5, 10, -2, 0],\n [7, 3, 8, 0, -4],\n [-5, -8, -4, 5, 1],\n [-1, 1, -3, -2, -2],\n [-9, 6, 10, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -3, 7, 5],\n [-2, 7, 3, -2],\n [3, -6, 7, -3],\n [-8, 5, -10, 4]]\nB =\n[[-9, -4, 0, 9, 4, 4],\n [2, 3, 7, 1, 2, -5],\n [1, -4, 5, 9, 0, 0],\n [-9, -4, 5, -2, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -1, 1, 7, 8, 2],\n [0, 8, -2, -1, -3, -2],\n [4, 7, -9, 10, -8, -2],\n [2, -3, -6, -5, -8, 0],\n [-1, -3, -3, -2, 2, -5],\n [4, 7, -1, -9, -3, -9]]\nB =\n[[6, 0, 2, -8, -10],\n [-10, -3, 7, 6, 2],\n [4, 10, -10, -6, -7],\n [3, 4, 1, -9, 2],\n [-5, 6, 8, 9, -7],\n [10, -6, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[10, -9, 5, 9],\n [-2, -4, 7, -9],\n [1, -7, 8, 3],\n [9, -4, 8, 3]]\nB =\n[[-2, -8, -3, 2, -2, 9],\n [2, -6, 2, -2, -9, 0],\n [-9, 1, 2, -5, -6, 4],\n [2, -2, 6, 8, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, 2, 2, 1, 6, -4],\n [-4, 7, 5, 8, 8, -7],\n [-8, -6, 7, 1, 0, 1],\n [-9, 0, 7, -8, -7, 5],\n [-6, -8, -9, 0, -5, -10],\n [-7, -6, 6, -5, 9, -4]]\nB =\n[[-10, -1, 9, 3, -7],\n [9, -3, 0, 5, -4],\n [1, -4, 8, 5, -9],\n [-8, 4, 7, 8, 10],\n [0, 2, 10, -1, 5],\n [9, -6, -2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[5, 4, 8, -9, -9],\n [10, -1, 7, -1, 8],\n [10, -3, 3, 0, 9],\n [4, -1, -9, 2, 10],\n [-6, -2, 4, -1, -4],\n [6, 9, 6, -8, 9]]\nB =\n[[6, 1, 2, 10],\n [-9, -7, 4, 8],\n [5, -6, -4, 0],\n [-4, -7, -4, 8],\n [0, -4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, -6, 2],\n [1, -2, 7, -1],\n [7, -2, 5, -2],\n [2, -3, 9, 4]]\nB =\n[[1, -2, 8, -6, -4],\n [6, 2, 8, -3, 0],\n [-4, -4, -7, -10, 4],\n [-6, 2, 5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 3, 2, -8, -7, 9],\n [5, 2, -6, 4, 9, 8],\n [9, 7, 3, -5, -10, 6],\n [9, -4, 8, 6, 3, -9],\n [-6, 8, -1, 6, 3, -4]]\nB =\n[[-7, 9, -6, -2, 1, 6],\n [6, 7, 1, -3, 3, 2],\n [3, -3, -7, -8, -10, -8],\n [-4, 0, 3, -2, -4, 6],\n [-8, -2, 1, 7, 7, -5],\n [-9, 5, -1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 1, 0, 2],\n [-1, -9, -9, -1],\n [-10, 2, 5, -8],\n [-7, -8, -2, -9],\n [7, 3, 0, 3]]\nB =\n[[9, -10, 4, 2, -7, 10],\n [-2, -6, 1, 2, -2, 10],\n [8, -4, 5, 1, 9, -10],\n [-1, 8, 4, 6, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 10, 6, -3, 1],\n [-7, 5, 2, 8, 9],\n [-6, 3, 7, -2, 5],\n [-6, -1, -3, 9, -1],\n [8, -9, -10, -9, -3],\n [-10, 10, -10, 0, -7]]\nB =\n[[8, 1, -7, 7, 6],\n [3, 7, 3, -1, 4],\n [2, -9, -2, 10, 10],\n [-1, 5, -7, -5, -4],\n [3, 10, 1, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -8, -4, -10, 10],\n [1, 10, -1, -9, 9],\n [5, -6, -1, 9, 5],\n [4, 8, -9, 10, -5],\n [-3, 3, 8, 10, 5]]\nB =\n[[0, 5, 2, 8, -1, -8],\n [-5, 6, 2, 10, 1, -6],\n [7, 9, 0, -4, 7, 0],\n [2, -6, 8, -1, 0, 2],\n [-2, -4, -3, -1, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 3, -8, 3, -10, 5],\n [6, -6, -4, -3, 5, 7],\n [7, 8, -3, -4, -7, 1],\n [-5, 2, -8, 3, -1, -5]]\nB =\n[[6, -10, -7, 8, -4],\n [5, -8, 2, 6, -9],\n [3, -8, 1, -10, 7],\n [9, -10, 2, 6, 6],\n [-2, -6, -6, 9, 3],\n [1, -4, -6, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, 2, -3, -1, -1],\n [4, -10, -10, 5, -6, 5],\n [10, -1, 1, 6, -7, 1],\n [-3, 6, -8, -4, 9, 0]]\nB =\n[[-1, 4, 1, 7],\n [-9, 10, -2, 4],\n [5, -7, -6, 0],\n [-6, -5, 4, 7],\n [-4, -1, -2, 2],\n [-1, 10, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 9, 7, 6],\n [3, -4, -7, -3],\n [8, 0, -8, -6],\n [-6, 4, -7, 0],\n [-2, 4, -9, 3]]\nB =\n[[0, 3, 2, 2, -7],\n [0, 3, -1, 7, 7],\n [1, -2, 7, -8, -5],\n [-3, -3, 9, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -10, 1, -3, 7],\n [5, 7, -3, -5, -2],\n [-8, -9, -10, 9, 2],\n [0, -8, -4, -1, 5]]\nB =\n[[2, 9, 8, -6, -10],\n [0, 8, -3, -2, -9],\n [0, -4, 7, -1, 7],\n [1, 2, -4, -3, 4],\n [4, -5, -1, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -4, 5, 9],\n [1, 3, 3, -9],\n [2, 6, 8, 10],\n [-7, -10, 4, -10],\n [2, -3, -8, -4],\n [-6, -5, 0, 0]]\nB =\n[[-8, -4, 3, 6, 8, 9],\n [-8, -2, 7, -4, 0, 1],\n [10, -6, -4, -7, -4, 9],\n [8, -7, 3, 10, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 9, 8, 1],\n [-3, -1, -7, 7],\n [-3, 4, -8, -7],\n [7, -1, 6, 9],\n [-6, -9, -6, -10],\n [7, 5, 7, -3]]\nB =\n[[-6, -1, -9, 0, 1],\n [6, 2, 7, 3, -4],\n [-7, 9, -8, -10, -8],\n [-8, -8, -9, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2075", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -10, -7, -7, 2, 8],\n [-2, -10, -8, -7, 8, -1],\n [-5, -9, -1, 2, -4, -3],\n [2, -7, -2, -5, 8, -5],\n [0, 3, -6, -9, -2, -2]]\nB =\n[[10, -6, 5, 3],\n [5, 0, -1, -9],\n [8, 4, 10, 6],\n [4, -6, -8, 6],\n [2, 7, 4, -9],\n [-4, -2, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-487", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 3, -4, -2],\n [10, 0, -3, 4],\n [-3, 7, -10, -7],\n [-4, -1, -5, -7],\n [8, -7, 6, 5]]\nB =\n[[-5, 0, 0, -7, -6],\n [-7, -10, 5, -3, 1],\n [2, 4, -8, -4, -2],\n [-4, 6, -8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -6, -3, 5],\n [4, 7, -1, -6],\n [4, -2, -8, 10],\n [-1, 6, 2, -7],\n [-10, -10, -6, -2],\n [-6, -1, -1, -10]]\nB =\n[[-8, -3, -8, -6, -8, 8],\n [10, -10, 9, -8, 5, -9],\n [1, -6, -5, 1, -5, 5],\n [8, 6, -9, 10, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2744", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, -8, -8],\n [-3, -8, -7, -5],\n [-7, -8, 7, 2],\n [7, 4, -6, -7]]\nB =\n[[5, 3, -3, -5],\n [-10, 6, 8, 2],\n [-8, -6, 10, 8],\n [10, 6, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2, 2],\n [9, 9, 9, -2],\n [9, -1, -10, -8],\n [1, -6, 1, 10],\n [-8, 7, -8, 1]]\nB =\n[[-1, -10, -5, 0, -9],\n [-2, 4, -6, 7, 7],\n [-3, -3, 10, 7, 5],\n [2, 10, 5, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1589", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -8, 2, 7, 8, -5],\n [-8, -4, -1, -7, 3, 1],\n [-6, 4, -2, 9, 6, -8],\n [5, -6, -6, 2, 1, 1],\n [7, 2, -3, 7, -1, 0],\n [-6, -1, 2, -5, 6, 0]]\nB =\n[[-1, 3, 4, 9, 7],\n [5, 2, -6, 0, -2],\n [-3, 4, -8, -4, 2],\n [1, -7, 7, -7, -4],\n [-10, -6, 4, 1, 2],\n [5, -8, 10, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 3, 7, -8, 4, -7],\n [-4, 7, -5, -8, 9, 10],\n [5, -9, 10, 7, 7, 5],\n [8, -5, 5, 3, -9, -1],\n [-9, 7, -4, -7, -9, 6],\n [4, 0, 9, 1, 9, -2]]\nB =\n[[-8, -1, 1, -7, -8, 10],\n [-5, 0, -2, 3, 8, 9],\n [-10, -1, 6, 8, 8, -3],\n [5, -3, 3, 5, 4, 4],\n [6, -8, 0, 9, 4, -10],\n [3, -8, 5, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, 2, -9],\n [2, 3, 7, 5],\n [10, -2, -10, 5],\n [-8, 7, 5, 10],\n [-9, 7, -3, 7],\n [10, -10, 1, -1]]\nB =\n[[-6, 10, 5, -7, -6],\n [7, 10, -5, 5, 3],\n [3, 2, -4, 9, -2],\n [7, -5, -5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, -5, -4],\n [-10, -9, -1, -7],\n [-10, 9, -8, -1],\n [1, -3, 1, -2]]\nB =\n[[-2, 9, 2, 9, 1],\n [4, 8, -7, 2, -9],\n [-5, -5, -8, -9, 10],\n [-9, -8, 7, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -8, 8, -2, -3],\n [2, -10, -7, 3, 5],\n [0, -3, 5, -3, 2],\n [-7, 10, -5, -4, -8],\n [2, 0, -9, -4, 4],\n [2, -4, 2, 2, 3]]\nB =\n[[3, 8, 9, -6, 7],\n [-8, -7, 0, -5, -7],\n [10, 7, 8, -1, 3],\n [7, -8, 5, 3, -10],\n [9, 1, 0, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -6, 8, -10, 0, 1],\n [8, -6, 4, 1, 0, 9],\n [-7, -8, -7, 1, 6, -3],\n [-1, -8, -5, -7, -9, -2],\n [-7, 6, 5, 5, 2, 8],\n [-9, -1, 6, -4, -9, -1]]\nB =\n[[-6, -5, -5, 10, 6],\n [-6, 9, -1, -1, -6],\n [-1, 6, -3, 10, 9],\n [-5, -2, 3, -5, -3],\n [10, 4, 0, 2, 5],\n [3, -3, 1, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-7, -6, 3, 7],\n [8, -1, 3, 6],\n [-6, 3, 2, 7],\n [4, 4, -6, 10],\n [-2, 9, -6, 0]]\nB =\n[[-8, 2, -3, -1, -2, -8],\n [-6, -8, 10, 10, -7, -1],\n [7, -4, -6, -7, -5, 7],\n [4, -1, 1, 4, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 0, -5, 8, 9],\n [-9, -6, 5, -3, 9],\n [0, -3, 9, -1, 5],\n [9, 10, -2, -6, 9]]\nB =\n[[-4, -1, 4, 10, 2],\n [-4, -7, 10, -1, -8],\n [-1, -2, -6, -3, -5],\n [8, 4, 9, -3, 5],\n [-5, 1, -9, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-289", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -1, -1, -3, 6],\n [6, -10, 10, -7, -7],\n [6, 9, -4, -4, -9],\n [10, -1, -2, 6, 1]]\nB =\n[[-2, 8, 9, 1],\n [2, 6, 5, -3],\n [10, -2, -8, 7],\n [-9, 4, -5, -9],\n [10, 10, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -8, -4, 6, 9],\n [9, 2, 10, 9, 1],\n [-2, -7, 4, 7, -6],\n [-8, -3, -7, -6, -7]]\nB =\n[[6, 3, 6, -7, -3],\n [1, 10, -9, -3, 3],\n [4, 9, -9, -6, -1],\n [-1, 3, -7, 4, -5],\n [8, -9, -3, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, -7, 5],\n [8, 6, -6, -5],\n [-10, 4, 7, 5],\n [10, -10, 7, -2],\n [0, -7, 7, 7],\n [-10, 0, -2, 10]]\nB =\n[[7, -2, 8, -2, -8],\n [-8, -6, -6, -1, 10],\n [-4, 1, -3, -9, -2],\n [3, 1, 10, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, 10, 3, 0, -3],\n [-6, 10, 8, 8, 5, 4],\n [-1, -3, -4, -10, -7, -8],\n [-6, 4, -5, 8, -2, 7],\n [8, 4, 10, 7, -3, -2]]\nB =\n[[-1, -4, 3, 0, 1, 2],\n [0, -7, 7, 4, -9, 5],\n [-10, 6, -4, 3, 5, -5],\n [-1, -4, 0, 10, -3, -5],\n [3, -10, -3, -8, 2, -8],\n [4, -1, -8, 7, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 1, -7, -9, -1],\n [-1, -6, 1, 2, -7],\n [-7, 2, -2, 7, 2],\n [0, -5, -8, -6, -8],\n [-5, 8, 5, 8, -4]]\nB =\n[[8, -9, 9, 0, 3],\n [-8, 6, -1, 6, -9],\n [-7, 3, 8, 8, -7],\n [10, -6, 7, 9, 3],\n [9, -6, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-414", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-3, 1, -3, 4, -3, 1],\n [-3, -4, -6, 5, 10, -6],\n [8, -4, 6, 5, -8, 8],\n [-3, 10, -3, -5, 9, 10],\n [3, 1, -3, 0, -5, -5]]\nB =\n[[2, 6, 8, -3, -6],\n [0, 5, 2, -4, 7],\n [2, 5, -2, 5, -5],\n [6, -10, -1, -1, 6],\n [-7, -9, -9, 6, 10],\n [-8, 7, -3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -5, 2, 2],\n [4, -6, 9, -2],\n [1, -10, -4, -9],\n [-9, 9, 8, -5],\n [10, -8, 2, 7]]\nB =\n[[8, -1, 5, 2, 0],\n [6, -10, -7, 0, 5],\n [-6, -8, -8, 3, 3],\n [10, -4, 5, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -3, -3, -3, -3],\n [5, -1, -7, 2, -4],\n [-6, 10, 4, -4, 9],\n [-10, -7, -8, -2, -10],\n [6, -7, -1, 3, 0],\n [8, -4, 6, 10, -8]]\nB =\n[[5, 4, 4, 4, -2, 8],\n [0, -2, 2, -8, -7, -3],\n [-8, 5, 7, -4, 0, 10],\n [-5, -1, 8, -1, -7, -3],\n [-1, 8, 2, 5, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[2, 3, 10, 8, 9],\n [-3, 10, 0, 10, -5],\n [-4, -7, 2, -7, 8],\n [-1, 1, -8, -3, -2],\n [8, -7, 6, -9, 10]]\nB =\n[[5, 5, 5, -1, 9],\n [9, 2, -9, -8, -7],\n [3, -4, 3, -5, -5],\n [-10, -7, -1, 2, 2],\n [-4, 10, 6, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[3, -8, -8, -5],\n [-5, -6, 1, -5],\n [-6, 1, -1, 8],\n [-1, 9, 8, 6],\n [-8, 3, -6, 1],\n [3, -2, -5, 4]]\nB =\n[[-3, -3, -8, 10, -1, 4],\n [-6, -6, 6, 0, 7, 7],\n [10, 2, -10, -3, -6, -3],\n [9, 2, -9, 10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -10, -1, 1, 8],\n [-2, -10, -4, -3, -7],\n [3, -10, -10, -10, -1],\n [1, -4, 7, -3, -6],\n [-7, 5, 7, 6, -9],\n [2, -9, -1, 9, 7]]\nB =\n[[-4, 7, 7, -7, 8],\n [0, 1, 5, 5, -6],\n [-5, -8, -5, -6, -10],\n [-1, 3, 8, 0, 1],\n [-10, -4, 9, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2020", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 4, -4, -3, 7, -3],\n [5, -7, 8, 8, -9, -5],\n [-8, 2, 5, 0, 7, 1],\n [2, 7, -8, 9, 0, 0]]\nB =\n[[3, 6, -8, -10, 10, 1],\n [-5, 5, 7, -8, -4, -8],\n [-3, 3, 4, 2, -3, 2],\n [-1, -3, 4, 3, 10, 8],\n [2, -10, -3, 0, -9, -6],\n [-1, -7, 7, 7, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1827", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, 0, 3, 10],\n [-3, -8, -6, -4, 10],\n [7, 0, 9, -2, 1],\n [9, -5, 6, 3, -7],\n [2, -2, 6, -1, 9],\n [-1, 1, 10, -5, 4]]\nB =\n[[-8, -7, 4, 10, -4, 7],\n [10, 2, -8, 7, 5, 4],\n [3, 0, 4, -10, -4, 7],\n [6, 3, 10, 7, -2, -3],\n [10, -10, 2, -4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2638", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, 2, 3, -7],\n [-8, -7, -9, 8, 3],\n [8, 4, 6, 4, 5],\n [-5, -3, -2, 10, -9],\n [-6, 0, 8, -4, -4],\n [-4, -3, 5, 8, 1]]\nB =\n[[-2, 2, -6, -6, -1],\n [-10, 9, 6, 4, 0],\n [-10, -2, 1, -1, -8],\n [-3, 3, -4, 9, -8],\n [2, 2, 4, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 0, -4, -8, 4],\n [-5, -10, -2, 4, 9],\n [-9, 7, 4, 3, 9],\n [6, -1, 9, -10, -5]]\nB =\n[[0, 1, 4, -2, -9, 10],\n [-6, -5, 1, -10, -9, 1],\n [8, 1, 7, -5, -5, -3],\n [5, -6, 5, -6, -2, -5],\n [2, -5, 2, -3, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, -3, -1, -5, 8],\n [-6, -10, 1, -10, -10],\n [-5, 6, 9, -3, 7],\n [-5, -3, 4, 3, 3],\n [-8, -3, -4, 0, -9],\n [6, 3, -4, 0, -9]]\nB =\n[[-3, 1, -2, 1],\n [-1, 5, -8, 9],\n [8, 1, -8, 3],\n [5, -1, 4, -4],\n [-7, -6, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 5, 3],\n [4, -10, -1, 6],\n [-6, -1, 3, -4],\n [3, -4, 6, -3]]\nB =\n[[8, 9, 0, -9, -8, -5],\n [-5, -8, 8, -3, -7, 4],\n [10, 6, -9, 6, 7, -5],\n [6, 0, 7, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 10, 0, 7, 7],\n [-2, 7, 5, -2, 9],\n [-4, -9, 6, 8, 2],\n [-7, 0, -10, 4, 8],\n [-2, -3, -10, -2, -10],\n [3, -8, -3, -2, -2]]\nB =\n[[10, 1, 10, 2],\n [-9, -4, 5, 0],\n [8, -3, -6, -10],\n [-10, -10, 1, 7],\n [-4, 1, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-356", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 6, 7, -1],\n [-10, 4, -6, 9],\n [-9, -4, 6, -7],\n [-1, 0, -5, -6]]\nB =\n[[9, 1, -3, 4],\n [-9, 6, -8, 9],\n [-9, -4, -1, 6],\n [3, 5, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 4, 5, 1, -8],\n [3, -7, -8, -3, -5],\n [9, 8, 7, 8, -2],\n [-2, 10, -10, -10, -6],\n [-8, 2, -2, 10, 9],\n [-3, 5, -6, 6, 3]]\nB =\n[[-1, -9, -1, 6, 7],\n [0, -8, 8, -9, -5],\n [6, 9, -1, -2, 1],\n [2, 1, 9, -3, -8],\n [-4, -5, -10, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 1, -4, -5, -1, 1],\n [3, 3, 6, -4, 1, -6],\n [7, -8, 9, 3, -7, -5],\n [-2, -2, 3, 5, -6, 4]]\nB =\n[[-1, -1, 4, -10, -4, -10],\n [0, -2, -3, 2, 9, 7],\n [-8, 2, -8, 6, 9, 6],\n [-1, -4, -2, 6, 2, 9],\n [10, 9, -4, 8, 0, 10],\n [10, -8, 1, -7, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1051", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, -7, -1, -8, 4],\n [-3, 4, -9, 1, 5, 6],\n [0, 4, 4, -7, 2, -10],\n [-5, 3, 9, 2, 5, -5],\n [-9, 3, 10, 5, 0, -2],\n [8, 7, 0, 7, -1, 2]]\nB =\n[[-8, -2, -10, 0, -3],\n [3, 6, 3, 1, 7],\n [-4, -8, 8, 3, 3],\n [-4, 0, -5, -10, 1],\n [6, -7, 6, 9, 3],\n [0, 6, 6, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -9, 8, 0, 4, -6],\n [10, -9, 8, -10, -4, -5],\n [9, -2, 2, 5, -1, 2],\n [4, 2, -9, 1, -5, -4],\n [-6, -1, 1, 4, 1, -9]]\nB =\n[[-10, 10, -6, -7, 7, -10],\n [-8, 4, 1, -3, -6, -10],\n [2, -3, -4, 1, -2, 0],\n [0, -2, -5, -6, -9, 10],\n [7, 4, -4, 8, -5, -2],\n [0, 7, 10, -9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 6, -9, 0, -5, -7],\n [5, -8, -7, 6, -8, 9],\n [5, 4, 10, -9, -5, 6],\n [0, 3, 1, 2, -5, -2],\n [0, 7, 8, -8, -7, 10],\n [-5, -2, 6, 6, 7, 9]]\nB =\n[[7, -9, 0, 0, 8, -9],\n [7, -5, 3, -1, 6, 6],\n [-7, -2, 10, 7, -9, 8],\n [0, -8, 4, 3, 5, 0],\n [8, -2, 10, -1, 10, -9],\n [-10, 4, 0, -4, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 1, 9, 0],\n [2, 7, 7, 2],\n [-6, -4, 1, 9],\n [7, 1, 2, -7],\n [-10, -9, -7, -1]]\nB =\n[[-3, -4, 3, 10, 8, -9],\n [-3, -10, 9, 10, -9, 8],\n [7, -10, -6, -6, -5, 10],\n [-10, -2, -6, -6, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 7, -10, 10],\n [8, 0, -9, 0],\n [-9, -2, 7, -2],\n [-8, 0, -10, 10],\n [8, -3, -5, -8],\n [-10, 3, -3, 10]]\nB =\n[[5, 4, 2, -10, -7, 6],\n [7, 0, -8, 6, 5, -2],\n [-7, -9, -3, 1, 7, 3],\n [8, 2, 1, -5, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, 7, 6, -1, -5],\n [-1, 4, -8, 1, 0, 6],\n [-3, 0, -3, 9, -2, 6],\n [-10, -5, 10, -6, 1, -4],\n [1, 4, 7, -9, 4, -7]]\nB =\n[[3, -9, -7, 4, -4, 7],\n [-6, -5, 9, -6, 6, 9],\n [1, -7, 3, 2, 1, 5],\n [7, 1, -10, -7, -1, 8],\n [8, 9, -6, -9, 4, -2],\n [-9, 10, 6, 6, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1694", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 5, 5, 6, 6, -8],\n [3, -5, -9, -2, -3, -10],\n [8, 1, 1, 0, -5, 4],\n [9, -7, -3, -6, 8, -5]]\nB =\n[[5, -8, -7, 7, 9],\n [-3, 7, -9, 9, -5],\n [0, 7, 10, -3, -7],\n [2, 7, 10, 8, -8],\n [9, -5, -5, -8, -5],\n [7, 1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -9, -9, 8, 4, -2],\n [-3, -4, -5, -9, -10, -7],\n [-1, -3, 3, -4, 4, 2],\n [6, -6, -4, 1, 4, -1],\n [-2, -4, 1, 2, 6, -9],\n [10, 4, 10, -8, -6, 9]]\nB =\n[[-8, -5, 0, 9],\n [3, -10, 3, -4],\n [-4, -2, -1, 10],\n [-8, 5, 10, -8],\n [7, 4, 6, 5],\n [-1, -10, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 4, 4, -3, 5],\n [10, -2, 3, 9, -9, -3],\n [8, -9, -7, -7, -7, 3],\n [-7, -2, -9, -7, 1, 6]]\nB =\n[[-10, -4, -7, -10, 1],\n [7, -7, 2, -10, -7],\n [1, -1, 10, 10, 0],\n [3, -4, 8, -10, 8],\n [8, 2, 4, -1, 1],\n [-2, -2, -10, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 0, 9, 1, -5, 6],\n [4, -1, -2, 2, 1, 4],\n [-6, -10, -9, 6, -2, -10],\n [-2, -4, -4, -10, 2, 3],\n [0, -8, 7, -10, 2, -1],\n [1, -8, -10, 8, 2, -3]]\nB =\n[[4, 8, 7, -6, -1],\n [-7, 7, 0, -10, -10],\n [4, -4, -1, -4, -6],\n [-10, -4, -2, -2, 8],\n [7, 6, -3, 4, -9],\n [-7, -2, -5, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, -5, -6, -1, 7],\n [8, 1, 1, -9, -7, -7],\n [5, 1, -10, 2, -5, -9],\n [-1, -7, 0, 3, 1, 9]]\nB =\n[[5, -10, -9, 0, -2, 2],\n [8, 9, -5, -6, 8, 7],\n [8, -9, 6, 9, 3, -10],\n [1, 0, -7, 9, -2, 7],\n [-8, 0, -7, -4, 10, 1],\n [-4, 4, 6, -10, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-355", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[8, 5, -8, -10],\n [6, -10, -4, -7],\n [-6, -9, 5, 3],\n [-2, 8, 3, -5],\n [-3, 5, -10, 8]]\nB =\n[[-6, 9, -1, 3, -2, 7],\n [-2, 4, -2, -10, -8, -9],\n [-4, -10, 2, 3, 7, 2],\n [-2, -4, -10, 5, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 7, 7, 3],\n [4, 10, 8, 9],\n [4, -3, 2, 3],\n [-5, 0, 7, 4],\n [10, 10, 0, 2]]\nB =\n[[-3, 7, 6, -2, 9, 9],\n [3, -3, 2, -9, 8, -7],\n [-1, 10, 7, -7, 0, -4],\n [-1, 5, -1, -7, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 3, -8, -7, -9],\n [5, 10, -2, 5, 6],\n [10, 1, 8, -4, -7],\n [1, 2, -3, 2, 5],\n [-10, -5, 2, -7, -3],\n [-3, -5, -3, -10, 8]]\nB =\n[[5, -2, -4, -10],\n [-6, 7, -1, 3],\n [9, 4, 2, -3],\n [2, -10, 4, 1],\n [2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 7, 0, -5, -3],\n [4, -9, 4, 5, 3],\n [-8, -4, -9, -4, -5],\n [-4, -10, -6, -5, 1]]\nB =\n[[-7, 5, -2, -6, -9, 3],\n [-2, -9, -5, 10, -6, -2],\n [4, 3, 9, 7, 5, 7],\n [10, 9, -6, -7, 7, -9],\n [-1, -9, 0, 7, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, 1, -6, -2, 2],\n [-10, 6, -10, 9, -10],\n [7, 3, -2, -2, 10],\n [6, 1, 2, 7, -6],\n [-3, -8, -1, 4, -8]]\nB =\n[[-1, -10, 9, -3, 3],\n [-2, -4, 6, -4, -4],\n [4, -3, -1, -8, 10],\n [-2, -2, 10, -6, 5],\n [10, -1, 5, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 10, -2, -7],\n [-8, -5, -7, 5],\n [-10, -10, -8, -2],\n [-2, -3, 8, -5],\n [0, -6, -6, 1]]\nB =\n[[-6, -6, -9, -10],\n [-10, -7, -9, -8],\n [-10, -4, 6, 9],\n [4, -9, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1749", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 0, 6, -8, -7],\n [-8, 4, 4, 6, 9],\n [-2, -5, 10, -1, -3],\n [-9, -10, -7, -3, 9],\n [8, 8, -3, -5, 10],\n [5, 7, -2, 3, -3]]\nB =\n[[0, -3, -8, -5, -6, 9],\n [-8, 6, 1, 0, -9, -7],\n [8, -10, 8, 5, 5, -4],\n [-8, -1, 1, 3, -9, -8],\n [-9, -1, -10, -10, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[8, 3, 0, 5],\n [7, -2, -3, -4],\n [-3, -6, 4, -4],\n [-3, 8, -5, 7],\n [7, 10, -2, 6]]\nB =\n[[5, 9, -10, -7, 7, -6],\n [0, 5, -2, 3, 0, 8],\n [-8, 5, 2, 0, 3, -8],\n [-5, -2, -8, -7, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -9, -9, 6, 5],\n [4, 10, 0, -4, 5],\n [5, -1, -4, -10, 5],\n [4, 0, 9, 7, 3]]\nB =\n[[-4, 0, -6, -5],\n [8, 5, -5, 2],\n [-4, 0, 8, 7],\n [4, -3, 9, 4],\n [8, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-1, 2, -3, 4, 2, 1],\n [-10, 8, -9, 10, -1, -7],\n [8, 4, 3, 4, 6, -4],\n [-7, 5, 2, -7, -7, 5],\n [-9, 7, 9, 5, 7, 3]]\nB =\n[[-9, 3, 3, -5, 2, 6],\n [1, 6, 1, 9, 0, -2],\n [8, -7, -1, 6, -2, -8],\n [0, -5, 5, -4, 6, 9],\n [8, -9, 9, 10, -7, 6],\n [-7, 1, -6, -5, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -7, 1, 8],\n [-1, -6, -8, -3],\n [4, 10, -9, 8],\n [10, -9, -7, 5],\n [6, -8, 8, 5],\n [9, -2, -6, 5]]\nB =\n[[0, -4, -2, -4, 2],\n [-7, 6, -9, -4, 3],\n [2, 7, -3, 10, -8],\n [-6, -10, -5, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-538", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -4, -4, -4, 5, 6],\n [8, -4, 6, 1, -1, 0],\n [-4, -8, 0, -1, -2, -10],\n [0, -6, -2, -4, 8, 5],\n [7, 5, -8, 0, 3, 3],\n [-5, -5, 10, 2, 0, -7]]\nB =\n[[6, -5, 1, 7, 8, -3],\n [-10, 2, 7, 7, -8, -9],\n [-4, 2, -9, 6, 3, -1],\n [-2, -9, -8, 10, -5, -7],\n [9, 3, -8, -4, 10, -8],\n [-2, -8, -7, -8, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2300", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 5, -1, -6, -3],\n [-10, -1, -6, 8, 6],\n [4, 3, -2, -7, 1],\n [0, -4, -10, -5, 8],\n [-10, -5, 1, 2, 1],\n [4, 9, -8, 9, -4]]\nB =\n[[-6, 3, 3, 6, 7],\n [-3, 5, 0, -2, -10],\n [-6, -10, -7, -10, 7],\n [6, 3, 10, 5, -1],\n [3, -6, 9, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 10, -8, 9],\n [0, -7, 6, -7],\n [1, 9, 4, -7],\n [-1, -8, -5, 6]]\nB =\n[[0, -1, 7, 7],\n [-4, 2, -6, -4],\n [1, 3, 10, 5],\n [3, 2, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[7, 1, 6, 8, 4, 3],\n [-1, 2, -3, 6, -1, 1],\n [-6, 7, -3, 7, 3, 6],\n [1, 7, -5, 9, -5, -3],\n [4, -10, -8, 6, -6, 9]]\nB =\n[[-8, -1, 7, 2, 1, 8],\n [-3, -2, 6, -1, 1, -3],\n [-1, 10, 7, 0, 8, 5],\n [3, -9, 3, 6, 10, 1],\n [3, 8, 7, 4, 8, 6],\n [-4, -7, 4, 10, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -6, 1, -9, 8, 5],\n [-7, -10, 6, -9, 8, 2],\n [-1, 9, 2, -4, 6, -2],\n [-10, 8, 0, 8, 8, 0]]\nB =\n[[-5, -5, -7, 8, 8, -9],\n [4, -1, 4, 1, -7, 0],\n [-5, -5, 4, -9, -6, 0],\n [5, 9, 7, 8, -2, -10],\n [3, 10, -9, -5, -3, -2],\n [-5, 2, 1, 1, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, -8, 10, 0, 10, -8],\n [-10, -1, -1, 3, 2, -10],\n [-6, 1, -3, 8, -3, 9],\n [-5, 4, 3, -4, 5, -6],\n [-3, -10, 10, 9, 9, 7],\n [10, -1, -2, 10, 1, -9]]\nB =\n[[4, -4, -5, 8, 4, -5],\n [-8, 1, -10, 7, 9, 10],\n [9, -3, -2, -8, -3, 10],\n [5, 3, 4, -7, -1, 1],\n [-2, 7, 5, -3, -2, 6],\n [1, 8, -3, -5, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, 4, 1, 4, 1],\n [-8, 3, -5, 4, 7, 8],\n [7, -3, 1, -1, 2, 7],\n [-1, -7, 6, -8, 8, -4],\n [-8, -2, -6, -5, -10, -4],\n [3, 2, -6, -8, 6, 10]]\nB =\n[[3, 5, 6, 10],\n [4, 9, -5, 10],\n [4, 6, 0, 2],\n [-6, 10, 7, -7],\n [2, -10, 7, 10],\n [-8, 0, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1609", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 2, -3, 2],\n [9, -6, 7, -2],\n [9, 10, -9, -2],\n [3, -9, -2, 3],\n [5, -4, 4, 6],\n [-1, 0, 8, 9]]\nB =\n[[8, 1, 3, -3, -10, -5],\n [8, 6, -2, 2, 3, -5],\n [-4, -2, 0, -3, -10, 1],\n [-1, -3, -9, 4, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -1, 0],\n [-3, 6, 1, -8],\n [3, 1, 2, -9],\n [0, -1, 7, -8],\n [8, 8, 3, -7]]\nB =\n[[-7, 1, 4, -5, 8],\n [8, 4, -3, 3, 9],\n [-5, 0, 2, 4, -7],\n [-9, -3, -8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 8, 2, -8, 0, 9],\n [2, -9, 7, -9, 1, 5],\n [1, -3, -8, -9, 8, -10],\n [-3, 2, -9, -1, -10, -7],\n [2, 0, -7, -7, 0, 6],\n [6, 10, -1, 7, 6, 4]]\nB =\n[[1, 3, -2, 4],\n [-10, 9, -4, -1],\n [-6, -1, -10, -8],\n [-9, -4, -9, -6],\n [-10, 4, -7, 5],\n [-8, 6, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1057", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -9, 10, 5, -6, 6],\n [-10, 5, 8, 4, -6, 6],\n [2, -9, 2, 8, -3, -1],\n [-6, -6, 6, -2, -2, 1]]\nB =\n[[-5, 1, 1, 4, -7, 6],\n [-8, 1, 7, -4, 4, 5],\n [10, -4, 5, -10, 1, -4],\n [2, -6, 0, 5, 5, -2],\n [-4, -6, 2, 3, 10, -1],\n [-8, -4, -7, -8, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -10, 9, 8],\n [0, 2, 4, -7],\n [5, 1, 1, 9],\n [-1, 8, -1, 3],\n [-4, -8, -5, -9],\n [-6, -9, -5, -3]]\nB =\n[[-3, 4, 2, -5, 7],\n [-8, -7, -6, 10, 0],\n [8, 5, 7, 6, -4],\n [-9, 10, -6, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -4, 6, 5],\n [3, -2, 0, 6],\n [0, 1, 9, 6],\n [-1, -9, 7, 2],\n [7, 5, 7, 9]]\nB =\n[[4, -10, -3, 5],\n [-1, 8, 0, 1],\n [-10, -6, -4, 9],\n [-9, -5, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-831", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-4, 10, 0, 8, -6, -5],\n [-3, 8, -3, 1, -6, 7],\n [5, 1, -3, -1, -4, 8],\n [2, 1, 5, -10, 9, 0]]\nB =\n[[-4, -5, 10, 6, 8],\n [7, 3, -4, 8, -2],\n [-10, -3, -6, 10, 10],\n [0, -10, -6, 10, -8],\n [-5, -4, 2, 10, 2],\n [2, -2, -5, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, 9, 8, 8, -7],\n [7, 4, 10, -8, 6, -7],\n [-10, -2, 2, 6, -4, 1],\n [-3, 3, 5, 9, -8, -1]]\nB =\n[[0, -1, -5, 2, -10, 8],\n [1, 1, -9, 8, 10, 1],\n [5, -3, 0, -10, 7, -10],\n [10, 10, -9, -1, 8, -3],\n [-7, -10, -3, 4, 2, -7],\n [-6, 6, 4, 1, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-2, -8, 0, -8, -8],\n [9, -6, 4, -9, 3],\n [-8, -3, 0, 2, -6],\n [3, 6, -3, -1, -10],\n [-6, -10, 2, -9, -7],\n [7, 5, -1, -7, 0]]\nB =\n[[-3, -6, 8, 5],\n [7, 4, 9, -3],\n [-1, -9, 0, 9],\n [-9, -5, 4, 9],\n [8, 3, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 2, 0, -10, -9],\n [0, 5, 9, 2, -3],\n [-3, -8, -8, -4, 7],\n [7, 1, 4, 2, 2],\n [-9, 7, -4, -7, 4]]\nB =\n[[2, -8, 5, -5],\n [-3, 0, 10, 0],\n [8, -2, 10, -10],\n [3, 10, 7, 8],\n [-5, 6, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[8, -5, -2, 10, 6, -2],\n [-3, -6, -3, -5, -5, 9],\n [-8, 10, 8, -10, -1, -5],\n [6, -3, -9, 7, -7, 6],\n [1, -3, 10, -6, 5, 3]]\nB =\n[[1, 8, 9, -10, 5],\n [1, 7, 8, -1, -9],\n [-9, 10, 0, -7, -6],\n [10, -2, -7, -8, -8],\n [-10, -6, -2, -3, 10],\n [-10, 2, 3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 2, -9, 5, -2, -3],\n [-10, -5, -5, 9, -8, 9],\n [8, -2, -1, -3, 10, 1],\n [1, 6, -3, -4, 6, 7],\n [4, -4, 6, -9, 6, -9]]\nB =\n[[2, -4, 0, -5, 8],\n [-7, 9, 7, -9, -8],\n [1, 4, -6, -10, 3],\n [1, -1, -4, 0, 5],\n [-4, 1, -9, -4, -2],\n [-3, 0, 5, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, 7, 6, -5],\n [-1, 8, 4, -2, -9],\n [3, 5, 4, 9, 2],\n [-10, 4, 4, -6, -3],\n [8, -7, -2, 6, 6]]\nB =\n[[3, 3, 6, -9],\n [-6, 10, -10, -6],\n [6, -1, -2, 7],\n [6, 0, 3, -1],\n [5, 7, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 4, 3, -1],\n [-3, 2, 7, 3],\n [0, -4, 9, -8],\n [-3, 9, -6, -10]]\nB =\n[[-3, 3, -7, -10, -6, 6],\n [10, 4, -6, -4, -8, 8],\n [-10, -4, -5, -3, 0, -4],\n [-1, -3, 0, 3, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, 1, 10],\n [-2, 0, -10, 4],\n [-8, 9, -1, -8],\n [8, -7, -7, -6],\n [-6, 3, 6, -3]]\nB =\n[[-4, 6, 3, 1],\n [-5, -8, 10, 5],\n [-2, -8, 8, 2],\n [-8, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, -1, 9, -3, 8],\n [-3, -9, 5, 2, 9, -6],\n [5, -6, 10, -1, 4, 10],\n [-6, -2, -10, -7, 7, 6]]\nB =\n[[-3, 4, 3, -10],\n [-6, -6, 9, 10],\n [-2, -10, 0, 1],\n [-1, -5, 5, 4],\n [-5, -1, -1, -3],\n [-1, 2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 7, -9, 9],\n [7, -6, -4, -2],\n [-1, 3, -1, -4],\n [6, -2, 4, 0],\n [4, -10, 1, -9],\n [2, 4, 2, -9]]\nB =\n[[3, 8, -1, 5, 7, 10],\n [-7, 0, -5, -4, 7, -8],\n [-8, -10, -6, -1, 4, -2],\n [5, -9, 9, 8, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[5, -6, -6, -4],\n [-5, 7, 9, 1],\n [3, -2, -1, 8],\n [2, -9, -2, -10],\n [-10, 0, 5, -8],\n [-9, -10, -2, 6]]\nB =\n[[0, 5, -10, 3, 8, 2],\n [8, -7, -10, -7, -6, -3],\n [-8, -6, -3, -2, 1, -1],\n [-5, -7, 2, 9, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -7, -5, -8, 6],\n [-4, -2, -2, -9, 5],\n [-9, 10, -4, 0, 7],\n [9, -10, 8, 4, -3]]\nB =\n[[-8, 8, -3, 0, 7, 3],\n [6, -2, -2, 9, 7, 2],\n [-5, 6, -10, 4, 3, 0],\n [4, -6, 6, 9, 5, 6],\n [-8, -10, 6, 9, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-506", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 2, 0, 7, -4],\n [-9, 3, 0, -6, -1],\n [-2, 10, -10, -3, 7],\n [-10, -3, -3, 3, 5],\n [0, -2, -10, 3, 1],\n [-5, -4, -6, -5, 3]]\nB =\n[[6, -1, 7, 2, 2],\n [-3, 4, 3, -10, -7],\n [-2, -10, 2, 7, 6],\n [3, -7, -5, -3, -3],\n [4, -7, 10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-770", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -7, 2, 7],\n [6, 4, -8, 9],\n [4, 1, 4, 2],\n [4, -4, -2, -3]]\nB =\n[[2, 4, -1, -3],\n [1, 9, 6, 7],\n [5, 2, -10, 5],\n [2, -2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, -3, 5, 2],\n [-8, 4, -5, -10, 6],\n [5, -2, 6, 0, -4],\n [-4, 4, 1, 8, 10],\n [8, -10, 4, -3, -1]]\nB =\n[[-3, 8, -1, 4],\n [-10, 2, -8, 5],\n [8, -7, -7, 7],\n [-8, 2, 0, 7],\n [0, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -3, -4, 2, 1],\n [-4, 5, 2, 6, 8],\n [-5, -7, 4, -10, 6],\n [-7, 2, 3, -2, 5],\n [10, 9, -7, 4, 4]]\nB =\n[[4, 1, -7, 10, 9, -4],\n [0, -7, 2, 5, -4, -5],\n [-6, -7, -4, -6, 7, 3],\n [0, 0, -1, 10, -5, 1],\n [9, 8, -2, -4, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-2, 2, 4, 7],\n [2, 9, -4, -7],\n [6, -6, -2, -8],\n [5, -5, -6, 7]]\nB =\n[[-4, -10, -10, -1],\n [-10, 1, -5, 0],\n [-6, -2, 5, -9],\n [-10, 3, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 3, 7, 8, 7],\n [-3, 4, -1, 0, 8],\n [1, -6, -4, -1, 5],\n [-8, -6, 5, -1, -5]]\nB =\n[[9, -4, -6, -4, -7, -10],\n [-4, 8, 4, 9, 7, -7],\n [4, 3, 4, 6, 7, -7],\n [3, -9, 5, 1, -5, -2],\n [6, -6, 6, -10, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, 3, -7],\n [3, 8, -9, -1],\n [-2, -5, 1, 9],\n [6, -7, 7, -9],\n [8, 4, 9, -4],\n [-3, 2, 2, -8]]\nB =\n[[5, -8, -5, 1, -9],\n [5, 6, -10, 6, 5],\n [-9, 6, 4, -6, 3],\n [4, 7, 4, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1732", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -2, 3, -3],\n [-3, -6, 0, -1, -1],\n [-6, 2, -2, 6, 8],\n [-7, -9, -8, -6, 4],\n [-8, -4, -5, -10, -5]]\nB =\n[[-4, 0, -3, 1],\n [10, 5, 3, 3],\n [-10, -7, -3, -8],\n [-3, 8, -2, 7],\n [8, 7, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, 3, 6, 0, -8],\n [10, -10, -5, -5, 6, 5],\n [-8, 6, 8, 1, 2, -2],\n [-10, -2, 5, -7, -6, 7],\n [8, -2, -7, -5, 10, -3]]\nB =\n[[2, -2, -2, -10, 6, 10],\n [-8, 7, -10, 8, 10, 2],\n [-9, 0, 8, 3, -10, -3],\n [0, 10, -2, 2, -7, 7],\n [8, 9, 4, 2, -8, 5],\n [8, -7, 10, 2, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, 4, -5, -9],\n [8, -6, 2, -9, -10],\n [-1, 9, -10, -6, -1],\n [3, -3, 4, 5, 1],\n [-1, 4, 4, 8, -6]]\nB =\n[[0, 4, -1, -9, -4],\n [7, -8, 3, 9, -9],\n [5, -8, 0, 6, 7],\n [-8, -5, -7, 5, 0],\n [5, -8, -7, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, 9, 2, 2, -9],\n [-3, 0, -6, -6, -9, -1],\n [4, 2, 3, -7, -10, 0],\n [6, -2, 3, -10, 8, 5],\n [9, -5, -3, 4, -8, 0],\n [4, 2, -8, -3, -2, 2]]\nB =\n[[8, -5, 7, -3, -9],\n [-5, 5, -2, -5, -5],\n [-5, -9, -2, 5, 7],\n [10, -9, 1, 5, -6],\n [9, 1, 7, 4, -10],\n [-1, 8, 1, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -6, 3, -8, -5],\n [7, 7, 1, 4, 6],\n [8, -9, -10, 10, 3],\n [-5, 6, 10, -2, 2],\n [-7, 3, -8, 7, 6]]\nB =\n[[-8, -4, -10, 10, 5, -10],\n [-2, -10, 0, -5, 7, 8],\n [-6, 3, -4, 3, -5, 6],\n [7, 3, 4, -2, -6, -7],\n [-4, 4, -8, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2028", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[5, -4, -5, 6, 0, -6],\n [7, -10, -10, -1, 2, 5],\n [-2, 10, 0, 5, 0, 6],\n [0, -4, -1, 1, 7, -1],\n [-8, 7, 4, 5, 3, 6]]\nB =\n[[8, -3, 5, 9, -10],\n [8, -1, 0, -5, 2],\n [8, 0, 4, 5, 7],\n [5, 6, -8, 5, 1],\n [1, -10, 4, 8, -9],\n [8, 3, -8, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 10, -4, 7, -5, -8],\n [-3, -6, 10, 3, -3, -5],\n [-8, 5, 7, -10, -4, 5],\n [-2, 2, -7, 10, 8, -9],\n [0, 7, -5, -2, 5, -7],\n [8, -2, -10, -6, 8, 10]]\nB =\n[[10, 4, -5, -1, 0],\n [3, 3, -8, 8, 6],\n [0, -10, -9, 8, -1],\n [-6, 2, -10, 6, -6],\n [2, 9, -1, -2, 4],\n [-6, 9, -2, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -10, 9, -1],\n [9, 2, 4, 8],\n [-10, 10, 1, -5],\n [-7, 9, -10, -10],\n [8, 2, -8, -10],\n [-4, -10, -4, 6]]\nB =\n[[3, -2, 2, 5, 10],\n [0, -5, -4, -5, 2],\n [10, 0, 4, 0, 7],\n [10, -7, 2, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[5, 5, 2, -5],\n [-10, 7, 10, -5],\n [2, 1, 9, -5],\n [2, 4, -9, 2]]\nB =\n[[-8, 6, 5, 7, 8],\n [-9, -4, 1, 10, -1],\n [4, -6, -7, 6, -1],\n [3, -7, 5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 6, -5, 0],\n [10, 8, -4, -4],\n [-5, -7, 7, -5],\n [-5, 5, -2, 0],\n [-6, 1, 10, 1],\n [-8, -1, -2, 10]]\nB =\n[[5, 8, -2, -4, -6, -6],\n [-2, -1, 4, 9, 3, -5],\n [-3, 0, -1, 5, 6, 5],\n [5, -6, 10, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1753", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -5, -8, -10, -7],\n [-6, 8, -10, -5, 0, -2],\n [-6, -6, -2, -7, -5, -10],\n [8, -2, 2, 5, 9, -6],\n [-10, -3, -6, -7, 7, 1]]\nB =\n[[10, -9, 5, 9],\n [-6, 9, -5, 10],\n [-10, 2, 10, 9],\n [10, -4, 2, 6],\n [3, 0, -6, -9],\n [-2, -7, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-434", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[3, -1, 9, 4],\n [8, 3, 0, -5],\n [8, 0, -2, 4],\n [-3, -10, -2, -4]]\nB =\n[[-7, -6, 7, -10, 4, -6],\n [-2, -2, 9, -9, 1, 4],\n [7, -2, 10, 5, -3, 10],\n [2, -3, 3, 9, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -4, -5, 0, -10],\n [-3, -4, 8, 5, 5],\n [10, 5, -6, 0, -9],\n [8, 10, 5, -9, 10],\n [9, -2, -8, 5, 1],\n [7, -10, 0, 7, 4]]\nB =\n[[-7, -4, -1, 8, 1],\n [-6, 3, -6, -3, -4],\n [8, 7, -4, -4, -2],\n [5, 10, -6, -5, -7],\n [5, -2, 1, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -2, 4, -3],\n [0, 8, 6, -5],\n [3, -7, 4, -6],\n [8, 5, -5, -2],\n [6, 0, -2, 4]]\nB =\n[[-4, 3, 6, 6, -6, 8],\n [6, 10, 2, 5, 4, 4],\n [-3, 2, 0, -4, -2, -4],\n [-4, 8, -4, -5, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, 7, 1, 7, 7],\n [-9, -4, -5, 0, -7, 2],\n [-10, 9, 10, -3, 3, 3],\n [5, 4, 0, 0, 3, -10],\n [2, 7, 1, 0, 9, 9],\n [6, 9, 3, -4, -8, 6]]\nB =\n[[0, -6, -10, 2],\n [7, -8, 5, 9],\n [-2, -3, 4, 4],\n [8, -10, 0, -1],\n [2, 8, 7, 4],\n [-6, -1, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[6, 9, -6, -2, -8, 1],\n [5, 9, -6, 5, 4, -2],\n [-10, 0, 3, 2, -6, 1],\n [-10, 2, -7, -6, 9, -3],\n [9, 0, 10, 1, 3, -1],\n [7, -5, -9, 9, 7, -9]]\nB =\n[[4, -5, 3, 2, -5, -8],\n [-1, 2, -7, -7, -6, -9],\n [-2, -10, -4, -7, -4, -4],\n [3, -3, -1, -7, 0, -3],\n [7, -8, -4, 4, -5, 7],\n [0, 3, 0, 7, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 3, 6, -6, -8, -2],\n [10, -9, 3, 2, -6, -3],\n [-7, -7, -7, -9, 7, 4],\n [-4, -9, -5, 5, 5, -9],\n [7, 7, 3, -9, -4, 4],\n [3, -4, -2, 0, -1, -2]]\nB =\n[[-9, 7, 8, -10, 6],\n [9, -2, 1, 10, -2],\n [-6, -6, 1, -5, -3],\n [8, 8, -10, 2, 1],\n [7, -9, 1, 8, 9],\n [-2, -5, -4, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -10, -6, -5, -8, 8],\n [-1, -1, -7, 0, 8, 1],\n [5, -8, -2, 9, 5, -7],\n [2, 7, 1, 3, -10, -3]]\nB =\n[[-10, 6, -3, 8, 8, 8],\n [-3, 5, 10, -3, -8, 10],\n [8, -10, 8, 7, -2, -8],\n [-8, 2, -7, 7, -7, -9],\n [1, -8, 8, 9, 8, 10],\n [-2, -3, -6, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1798", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -5, 10, -4, 1, 10],\n [-2, -4, 1, -10, -10, -3],\n [9, -10, -8, 0, 8, -5],\n [-6, -8, -6, -7, -6, -8]]\nB =\n[[4, 1, 8, -1, -5, 6],\n [1, 5, -9, -9, 7, 9],\n [-9, 1, 0, -9, 2, 1],\n [8, 5, 0, 3, 3, -1],\n [6, 9, 4, -10, 4, 6],\n [-2, 4, -4, -8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2516", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 5, -4, 9, 6, 6],\n [4, 7, -2, -8, 0, -2],\n [-9, 1, 2, -1, 8, -6],\n [-4, -2, -5, -9, 4, -9]]\nB =\n[[-6, -2, 0, -3],\n [4, 5, 2, -1],\n [2, -8, 10, 5],\n [-2, -1, -5, -6],\n [2, -6, -4, 6],\n [-6, 3, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-10, -8, -6, -9, -5, -5],\n [-9, 6, 6, -6, -2, 10],\n [-8, -9, -4, 2, 4, 5],\n [1, -6, -4, -7, 8, -1],\n [-8, 9, 8, -1, -6, -10],\n [7, 0, -5, -7, 2, 3]]\nB =\n[[6, -3, -4, 7],\n [7, -9, 9, -4],\n [-8, -2, 7, 6],\n [3, 3, -3, -1],\n [-9, -10, -1, -9],\n [-5, -8, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -2, 8, 6],\n [1, -10, -5, 7],\n [10, 8, 0, -2],\n [-10, 9, -10, 2],\n [10, -4, -6, -1],\n [5, -2, -10, 5]]\nB =\n[[0, -7, -2, 8],\n [-3, -6, 3, 7],\n [3, -4, -6, -2],\n [-4, -1, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, 6, 8, 3, -9, 3],\n [6, 3, 5, 7, -8, 4],\n [8, 5, 6, 4, 7, -6],\n [-4, -4, -8, -4, -6, 1],\n [-4, -2, -5, 0, 8, 4]]\nB =\n[[-8, 7, -7, 4, 0],\n [5, 8, -10, 2, 8],\n [-9, 5, -8, -8, 9],\n [-5, 2, 2, -6, 8],\n [-1, -6, 5, 6, 7],\n [4, -10, 9, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-3, -3, 3, -9, -9, 7],\n [-9, 9, -9, 9, 7, -9],\n [1, -7, -9, 0, 6, -10],\n [3, -9, 4, 10, 5, -10]]\nB =\n[[-7, 5, 4, 2, -7, 9],\n [-2, 1, 3, 7, 3, 7],\n [5, -10, -10, -2, 10, -4],\n [1, 4, 2, -7, 9, -2],\n [-3, 9, 1, -4, -9, -1],\n [1, -2, 7, -6, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -4, 2, 10, -9, -9],\n [4, 8, -3, -5, -6, -7],\n [-7, 2, 5, 6, -3, 10],\n [8, 10, -1, -10, -7, -4]]\nB =\n[[7, 10, 8, 9, 6, 7],\n [-8, -9, -3, 8, -4, 1],\n [10, 3, -8, -3, 6, 1],\n [-1, -6, 2, 0, 5, -1],\n [-2, -2, 1, 5, -9, 6],\n [-3, 5, 9, 6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[4, -5, 5, -10, -3, 9],\n [0, 0, -10, -9, -7, 2],\n [-2, 8, 1, -2, -3, 4],\n [9, 9, 3, 10, 6, 1],\n [-3, 8, -1, -1, -2, 7],\n [5, -1, 1, -10, 9, -6]]\nB =\n[[-2, 0, 4, 3, -8],\n [8, -3, -10, -7, 10],\n [4, -4, -7, -6, -6],\n [-4, 2, -8, 4, -8],\n [2, -9, 7, 4, -8],\n [4, 8, 10, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[8, 3, 7, -10, -2],\n [6, -3, 7, -2, -1],\n [-10, 6, -6, 5, 0],\n [-6, 8, -7, 10, -9],\n [8, 0, 8, -1, 3],\n [4, 1, -7, -8, -8]]\nB =\n[[8, -3, 5, 0],\n [-2, 4, 9, 6],\n [-2, -3, 7, 2],\n [8, 8, 6, 1],\n [8, 5, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[5, 4, 9, -2, -6],\n [-5, -9, 2, 7, 8],\n [7, 10, 2, 9, 3],\n [10, 10, 8, -1, -5],\n [9, -3, 8, -8, 0]]\nB =\n[[3, 5, -7, 0],\n [-6, 1, 0, 1],\n [-1, -5, 9, -9],\n [-1, -1, 5, 10],\n [-7, 1, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, -1, -1, -5, -3],\n [0, -1, 2, -8, 2, 1],\n [6, -3, -4, 5, -8, -7],\n [0, 9, -8, -5, 1, 6],\n [-4, 0, 0, 9, 9, 1],\n [-5, -10, -10, -10, 6, -6]]\nB =\n[[-1, 1, 9, 0, -8],\n [3, -6, 1, 0, -9],\n [7, 10, 5, -2, -10],\n [9, -5, -9, -9, 9],\n [9, -10, -8, -9, -8],\n [9, 10, 8, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 2, -9, 6],\n [0, 2, -4, 8],\n [-4, 5, 2, -7],\n [-10, -5, 9, 1]]\nB =\n[[0, -9, -6, 7],\n [-9, 4, 10, -3],\n [-2, 3, -7, -9],\n [-1, -10, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 9, 0, -2, 7, 1],\n [-6, 9, -9, 9, 4, 9],\n [-3, -3, -10, -4, -10, 0],\n [3, -4, 8, 3, -7, -1],\n [0, -5, -7, -10, 2, 8]]\nB =\n[[1, 6, -7, -8, -9, 3],\n [-7, -2, 0, 9, 6, 4],\n [10, 0, -6, -9, 5, 9],\n [0, 6, 7, 9, -6, -5],\n [4, 10, 4, -2, 5, 7],\n [-1, -7, 7, 10, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-3, -6, -4, -7, -1],\n [2, 4, -4, 7, -2],\n [9, -7, -5, -4, -2],\n [-3, 6, -1, -3, 7]]\nB =\n[[0, 9, -4, -10, -6, 8],\n [8, -1, -10, 7, 5, -8],\n [3, 9, 6, -3, 9, -9],\n [-7, -6, -1, -4, 6, 7],\n [0, 1, 0, 7, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 3, 9, -3, -5],\n [-10, -9, 7, -7, -9],\n [10, -9, 4, 10, 5],\n [-4, 6, -6, 8, -10]]\nB =\n[[1, -8, 10, -8, -9, -6],\n [-8, 8, 4, 3, 9, -3],\n [1, 4, 9, -3, 2, -10],\n [7, -9, 6, 7, -9, -2],\n [-8, 10, -6, 10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 1, 3, -1, 6],\n [-10, 7, 1, -8, 6],\n [-5, -7, -2, 5, 6],\n [-3, -8, 4, 6, 2]]\nB =\n[[-8, -5, -5, -4],\n [-5, -4, -9, 9],\n [10, 7, -1, 10],\n [4, -4, -7, -3],\n [10, -2, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -7, -6, -8],\n [-9, 5, 0, -3],\n [6, -1, -3, 7],\n [-8, -8, -3, -8],\n [-3, -5, -9, -8]]\nB =\n[[-9, 5, -4, -1, 8],\n [-10, -7, 3, -3, -1],\n [-2, -8, 0, -8, 0],\n [-3, 1, -9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1854", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-8, -8, 8, -7, 4],\n [-4, 4, 6, -8, 9],\n [9, 8, -10, -6, -6],\n [-1, 7, -3, 6, -3],\n [7, -9, -10, 8, -9],\n [-2, -6, -6, -5, -10]]\nB =\n[[5, 8, 6, -3],\n [2, 3, -3, 0],\n [5, -5, 6, 10],\n [-9, -8, 5, -5],\n [4, 7, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 2, -4, 7, 1],\n [7, -1, 3, -10, 9],\n [-7, 0, 5, -5, -1],\n [2, -4, 5, -9, 4]]\nB =\n[[0, 5, 8, -6, 10, -7],\n [1, 10, -6, -5, -5, -5],\n [2, 6, -8, 0, -2, 6],\n [-7, -4, 5, -5, -5, -2],\n [-6, -10, 3, -6, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 5, 8],\n [-9, -3, -1, -10],\n [-2, -2, 6, -5],\n [6, 1, 1, -7],\n [-3, 5, 4, 5]]\nB =\n[[10, -4, 4, 3, 4, -9],\n [10, -9, -1, -5, -8, 10],\n [-3, -4, 4, -3, -5, 8],\n [-7, -7, 1, 0, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1405", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -2, -4, 7, 10],\n [3, -4, 10, 9, 6],\n [9, -9, -3, -9, 7],\n [2, -1, 6, 7, 6],\n [5, 3, -2, 2, 10],\n [5, 3, 7, 10, -6]]\nB =\n[[10, 8, 9, -5],\n [-3, -3, 6, -3],\n [-2, 8, -2, -3],\n [1, -9, -2, -4],\n [-1, 6, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -4, 10, 1, -2],\n [4, 7, -8, -6, 10],\n [0, 8, 6, -10, -10],\n [5, 0, -6, -7, -8]]\nB =\n[[5, 7, -9, -5, -10, 3],\n [-5, 4, -6, -2, 1, -7],\n [6, 2, -5, 0, 3, 3],\n [5, -1, 4, 1, -9, 5],\n [10, -9, -8, 0, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, 10, 4, -4, -7],\n [4, 1, -8, 6, 9, 1],\n [7, 2, 7, 1, -3, 0],\n [-4, -7, 7, -8, 10, 1],\n [-6, 3, 0, -1, 7, -4]]\nB =\n[[0, 4, -5, 6],\n [-4, 3, 4, -6],\n [9, -9, 3, -9],\n [3, 1, 4, 2],\n [6, -5, 0, -5],\n [5, -10, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -8, -6, 5],\n [10, -3, -6, -7],\n [-4, -3, 4, 1],\n [-2, 1, 9, -1]]\nB =\n[[4, 7, 8, -2],\n [-9, -8, 4, 4],\n [-2, -6, -3, 9],\n [2, -6, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 7, -10, -5, 6],\n [1, 1, 4, -9, 0, 1],\n [10, 0, 7, -4, 6, -1],\n [10, -1, -6, 1, 4, 7],\n [-9, 10, 3, 10, 1, 7],\n [0, 0, -6, 9, 10, 3]]\nB =\n[[10, -7, 4, -8, 5],\n [-6, 0, -4, 8, -10],\n [6, 1, 1, 0, -2],\n [-5, 4, 2, -2, -3],\n [-4, 6, -6, -1, -3],\n [-7, -9, 4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-742", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, 6, -1, 7, 3],\n [2, 8, -3, -1, 2, 10],\n [5, 4, 6, -1, 9, 4],\n [2, 4, -7, -7, -6, 4],\n [-1, -3, 5, 7, 3, -7]]\nB =\n[[8, -5, 0, -6, 10],\n [4, -5, 6, -2, 2],\n [-8, -9, 10, -7, 1],\n [-10, -7, 10, -4, -4],\n [-7, -3, -8, 7, -8],\n [-10, 2, 3, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, 9, 5, -8, 4],\n [3, 7, 5, 0, 6],\n [-8, -9, 9, 3, 8],\n [-2, 0, 2, -8, 2],\n [4, 2, -9, -10, 10]]\nB =\n[[2, -7, 4, 6, 6],\n [4, 3, 0, -9, 8],\n [2, -4, -7, 10, 9],\n [-1, -5, 4, -6, 3],\n [8, -5, -5, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 10, -3, 6, 5],\n [1, 7, -7, 2, -10],\n [-3, 1, 6, 7, 7],\n [-4, -8, 1, 0, 10]]\nB =\n[[-6, -9, 1, -1, -3, -1],\n [2, 0, 7, -4, -4, -7],\n [7, 1, 2, 10, 3, 0],\n [8, -9, 5, -7, 4, -4],\n [-8, -5, 1, -4, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1472", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 7, -2, 2],\n [-9, 7, -10, -10],\n [5, 10, -7, 6],\n [4, -7, 1, 10]]\nB =\n[[-7, 10, 3, 9, -6, 10],\n [10, 3, 2, -2, 6, -4],\n [1, -5, -4, -6, 1, -3],\n [-4, 8, 3, 9, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, -2, -8, -5, 2],\n [6, 7, 2, 8, 2, -1],\n [-8, -7, 1, -4, -6, -9],\n [-10, 0, 6, -5, 9, -10],\n [-6, 2, -1, 9, 0, 6]]\nB =\n[[2, 5, -10, 3],\n [-8, 2, 3, -5],\n [10, -5, 9, 6],\n [-4, 1, 9, 0],\n [9, 3, 1, -4],\n [-9, -4, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 4, 6, -9, -7],\n [-1, 7, -1, -10, 7],\n [8, 7, -3, -8, 2],\n [-3, 1, 7, -10, -6],\n [-9, -4, -1, 6, 6],\n [-10, 2, -9, 6, -2]]\nB =\n[[-9, -7, -2, 0, -6, -3],\n [-6, -2, -3, -4, 9, -6],\n [-1, 3, -1, 1, -8, 7],\n [-2, -3, 7, 1, 10, -10],\n [-2, 5, -3, 5, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -2, -2, -8],\n [-9, -3, 8, 5, 7],\n [-2, -5, 8, 0, -1],\n [7, -7, 6, 7, 6],\n [3, 3, 0, 3, -9],\n [-6, 4, -7, 4, -1]]\nB =\n[[9, 4, -8, -6, -2],\n [-8, 4, -1, -4, -4],\n [6, -4, 5, 10, 8],\n [-3, -7, 7, -5, 2],\n [-3, -1, 5, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -6, -4, -6, -9, -3],\n [3, -10, 9, 10, -6, -4],\n [-3, 9, 1, 4, 10, -3],\n [6, -9, 2, 5, 0, -5],\n [0, -7, -1, -8, 1, 0],\n [-4, -6, 1, 2, -8, 3]]\nB =\n[[10, 7, -7, 5, 6],\n [6, 6, -2, 0, -6],\n [-4, -2, 10, -8, 7],\n [-3, 5, 6, -6, 0],\n [-8, 2, 10, 2, -9],\n [-7, -7, -6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -7, -9, 2, 2, 1],\n [-5, 4, -8, -8, -6, -2],\n [5, -5, 3, 0, 10, 5],\n [-8, 8, -3, 5, -4, -8],\n [-6, 4, -1, 0, -4, -3],\n [-4, 5, -7, -3, 3, -8]]\nB =\n[[7, -3, 10, -6, -3, -8],\n [-8, -7, -7, -7, -5, 7],\n [5, 1, 10, -10, 4, 2],\n [3, -2, 8, -6, 2, 0],\n [2, 4, 3, 2, 9, 10],\n [7, -6, -9, 9, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[8, 2, 0, 3],\n [-5, 7, 1, -5],\n [6, 2, -5, -8],\n [7, -2, 0, -9]]\nB =\n[[-2, 6, 5, -3, -4, -2],\n [-1, -10, 3, -7, 5, 9],\n [2, -10, 2, -10, 1, -5],\n [3, 1, 6, 7, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -2, 4, 8],\n [9, 6, 3, -3],\n [-1, -2, 8, -6],\n [-3, 2, 7, -1],\n [1, -2, 8, 1],\n [5, 9, -3, 3]]\nB =\n[[-5, 6, -1, -10, 5],\n [2, 2, 0, -7, 3],\n [-7, -2, -6, -9, 3],\n [-8, -6, 3, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-697", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -10, -6, 0, -1, 6],\n [-5, -7, 1, 3, 2, 6],\n [2, 5, 4, 2, -3, 7],\n [-1, 0, 0, 10, 8, 6],\n [10, 6, 6, -7, 5, 3],\n [0, -4, -3, -7, 8, -4]]\nB =\n[[0, -9, -7, 7, -7],\n [9, -9, 8, -8, -6],\n [-2, -5, -5, -2, 6],\n [-3, -7, 2, -8, -7],\n [2, 10, -6, 10, 4],\n [-6, 1, -8, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 7, -6, 10],\n [2, 1, 1, 4],\n [7, 1, 5, 7],\n [-4, -1, 2, -1],\n [-1, -10, -5, 10]]\nB =\n[[-7, -9, 2, 1, 5],\n [-6, 0, 5, 6, 0],\n [8, -5, 3, -5, -4],\n [2, 5, 1, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -3, -3, -1],\n [0, -8, -10, -6],\n [-4, 2, 1, 1],\n [-7, 1, 4, 6],\n [7, -1, 6, 6]]\nB =\n[[4, -8, 9, 9],\n [7, -3, 8, 3],\n [6, 9, 6, -7],\n [-4, -8, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, -8, 5],\n [-4, -2, 5, 0],\n [-6, -7, -7, -7],\n [-4, -8, -10, 0],\n [3, -9, -1, -5]]\nB =\n[[-6, 8, 4, 8],\n [-9, -6, 5, 6],\n [-8, -2, 4, 8],\n [-5, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, 0, -6, 8],\n [-6, 1, 0, -10, 1],\n [-1, -6, 2, 2, 4],\n [-2, 6, -3, -3, -1],\n [9, -1, 10, -3, 7],\n [-9, 3, -6, -2, -5]]\nB =\n[[-10, 1, -10, -6, -7],\n [9, -3, -1, 10, -1],\n [2, -3, 4, -10, -5],\n [-9, -10, 6, -3, -1],\n [-10, -6, 9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2186", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-3, 2, 1, 6, 6, 5],\n [5, 6, 0, 5, 9, 9],\n [4, 0, 9, 1, 9, 2],\n [-2, 7, -7, -6, -8, -5],\n [3, 6, 10, 10, 1, 2],\n [3, -1, -2, -7, -1, 2]]\nB =\n[[2, -6, 7, -1, 0, -10],\n [1, 10, -5, -1, 3, 7],\n [3, 6, 9, -10, -1, -3],\n [-7, -10, 7, 9, 3, -7],\n [-10, 10, -6, -2, 7, 0],\n [1, 9, 4, -1, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[2, 3, 1, 7, 2],\n [-8, -5, -5, -1, -6],\n [8, -1, 3, -6, -5],\n [-9, -10, 10, -1, 9]]\nB =\n[[-4, 4, -3, -6],\n [-3, 1, 10, 2],\n [4, -3, -10, -6],\n [6, -9, -10, -2],\n [-10, 1, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -8, -7, 5, 9],\n [-6, -7, 8, -5, -2, -3],\n [5, -2, 10, 5, 4, -3],\n [-6, -5, -7, -8, -3, -5],\n [-6, -2, -2, -3, 9, 2],\n [2, -1, 8, 4, -9, 2]]\nB =\n[[-6, 4, -1, 4, -8],\n [5, 7, -1, 2, 7],\n [9, -9, 2, -2, 6],\n [3, -3, -10, -5, -1],\n [-1, 8, -4, -3, -9],\n [-8, -5, 3, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 5, 7, -6, 1, -9],\n [-3, 3, -1, -5, -9, 3],\n [-5, -8, -7, 10, -7, 2],\n [-8, 9, 7, -9, 8, -8]]\nB =\n[[4, 9, -6, 2],\n [5, 5, -9, -5],\n [-7, 9, -1, -7],\n [10, 7, -4, 6],\n [-4, -9, 1, -1],\n [3, 1, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[5, 3, 5, -4],\n [-4, 6, -8, 10],\n [-7, -4, 2, -7],\n [8, -2, 2, -1],\n [5, 2, -5, 6]]\nB =\n[[5, -1, 1, -6, -9, -1],\n [4, 5, 7, -9, 7, 8],\n [-8, 6, -9, -10, -9, -8],\n [-3, -8, 2, -6, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -7, -6, 5, -7, -1],\n [6, 6, -1, -1, -2, -1],\n [-1, 3, 5, -6, -7, -10],\n [1, 4, -2, 3, 2, 6],\n [4, 4, 1, -5, 9, 0],\n [8, 3, 4, 8, -5, -8]]\nB =\n[[-8, 6, 7, 2, -8, 6],\n [2, -6, -2, -7, 5, 4],\n [-2, 2, -5, 9, 5, 0],\n [-2, 8, 5, 6, 7, -10],\n [3, 6, 0, 6, -1, 5],\n [10, 7, -3, 5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 6, 3, 2, 1, -1],\n [-10, -3, 9, -4, -5, -7],\n [-8, 3, 2, 5, 0, -7],\n [-8, 6, 5, 5, -7, -7]]\nB =\n[[-7, 1, 10, -6],\n [10, 8, 0, 6],\n [0, 5, -3, 8],\n [10, 8, -9, -8],\n [1, -8, 3, 2],\n [-10, -6, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1368", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[2, -10, 0, -6, -8, -2],\n [-6, 7, 9, 4, -9, 2],\n [4, -7, 9, 1, -1, 9],\n [-3, 4, -6, 5, -2, 7],\n [5, -10, 0, 7, 10, 4]]\nB =\n[[8, -6, 9, -9, -6],\n [10, -4, 10, -9, -4],\n [-1, 7, -4, -7, -4],\n [9, 7, 4, -1, 10],\n [4, -1, -9, 4, 2],\n [2, 2, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, 2, 6],\n [5, -8, 10, -9],\n [8, 9, 8, -10],\n [5, 2, -2, -2]]\nB =\n[[2, -10, 1, -4, -2, -9],\n [-2, -7, 9, -3, 4, 6],\n [3, -9, 9, -1, 8, -10],\n [8, 9, -5, -6, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -2, -6, -4, -5],\n [9, -8, 9, 8, 3, 9],\n [-4, -3, 7, 2, 7, 8],\n [-10, 5, 9, -2, 5, 10],\n [-8, 6, -6, -9, 0, -2]]\nB =\n[[2, -4, -4, 0, -2],\n [1, 1, 4, 1, -4],\n [-8, -10, -9, 4, -8],\n [9, 9, 4, 3, 2],\n [2, 8, 5, -8, 7],\n [-8, 7, -8, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-813", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[8, -4, 9, -6, 6, 10],\n [-10, -3, -4, -6, -4, -3],\n [4, -8, 7, 0, 3, 4],\n [1, 3, 0, 6, -3, -4],\n [0, 1, 2, -1, -7, -3],\n [-7, 6, -7, -10, -3, 9]]\nB =\n[[-8, 3, -4, 2, 1],\n [-2, 8, -9, -4, -3],\n [-6, 7, 6, -7, 9],\n [4, -6, -6, 5, 3],\n [-9, -10, 7, 0, 5],\n [-6, 2, 3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 9, -4, 7],\n [-3, -7, -8, -8],\n [0, 7, -10, -2],\n [8, -2, 10, -8]]\nB =\n[[6, -9, -5, 9, 4, -3],\n [0, 2, -10, 0, 3, 2],\n [-2, 1, 8, 2, 7, -10],\n [7, 9, -8, -8, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[7, -5, 8, 8],\n [-2, 7, -6, 10],\n [-5, -8, -5, 7],\n [10, -1, -6, -1],\n [-7, 4, 10, 9]]\nB =\n[[1, 1, 2, 2, -9, -9],\n [9, 2, 3, -9, -10, -5],\n [-2, 6, 5, 3, -2, 4],\n [8, -6, -4, -1, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 8, 1, 5],\n [1, 10, 1, 1, 2],\n [-7, -6, -3, 0, 6],\n [-9, 3, -7, -7, -3],\n [5, 6, -10, -4, -9],\n [7, -5, 3, -2, 9]]\nB =\n[[-3, -7, 8, -7],\n [2, -10, 6, 4],\n [7, -7, -10, 2],\n [-6, 10, 7, 2],\n [5, -1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -9, 9, -10, -10],\n [-9, -3, 2, -4, 6],\n [10, -9, 4, 5, 5],\n [-3, 1, -7, 3, 0],\n [8, 10, 4, 9, 4]]\nB =\n[[6, 0, -9, 2],\n [10, 2, 10, 1],\n [5, 3, 10, 9],\n [1, 10, -6, 9],\n [-2, -6, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 2, 7, 6, -7],\n [6, 0, 2, -10, -9],\n [7, -1, 0, 2, -1],\n [8, -6, -5, -6, -1],\n [-2, -2, -6, 7, 8]]\nB =\n[[1, -8, 7, 0],\n [9, -7, 9, 8],\n [8, -2, -2, -7],\n [-4, 1, -8, -3],\n [-8, -1, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -4, 3, 9, -5],\n [5, -9, 2, -1, 9],\n [-2, -3, 0, 7, 2],\n [-6, 9, 5, -3, -2],\n [-4, 8, -8, 1, -1],\n [-1, -5, 10, 10, -7]]\nB =\n[[8, 8, 7, 10, 10],\n [-5, -3, -9, -6, -9],\n [1, 1, 6, -7, 6],\n [3, 6, 3, -8, 5],\n [7, 1, -4, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[4, -4, -8, -4, 9, 3],\n [10, 6, -6, 10, 3, -6],\n [5, -4, 8, 4, 5, 0],\n [-6, -6, -3, 2, 6, -6]]\nB =\n[[9, -1, -6, 10, 6],\n [0, 10, -9, -9, 9],\n [-10, -4, 4, -7, 6],\n [10, -2, -7, -10, 9],\n [9, 0, -9, 9, 5],\n [4, 5, -7, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 8, -3, 6, 2],\n [-3, 1, 0, 10, 9],\n [10, -7, -9, 0, -8],\n [2, 6, -7, -2, 8],\n [-2, 6, -3, -1, -10],\n [-2, -4, -4, -10, 2]]\nB =\n[[-1, 7, -3, 8, -3, -9],\n [0, 7, -4, 0, -5, 7],\n [6, 2, -9, -1, 6, 4],\n [-4, 0, 5, 0, -6, -10],\n [2, -5, -3, -3, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, -3, -10],\n [7, -1, 6, 10],\n [7, 2, 6, -1],\n [3, -7, 8, -9]]\nB =\n[[3, 0, -7, 10, -7, 3],\n [-7, 1, -4, -3, 1, 2],\n [-9, 6, -3, 9, -3, 6],\n [-5, -7, 0, -8, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -4, -4, 8, 5],\n [-3, -3, 4, 6, -9],\n [-4, 9, 3, -6, -3],\n [2, -10, 4, -1, 0],\n [5, 9, -4, -1, 3]]\nB =\n[[5, -9, 1, -10, 9, 10],\n [-3, -5, 8, 6, -4, -2],\n [-10, 10, 5, 3, -8, 4],\n [4, -5, 7, -2, -6, -5],\n [2, 10, -3, -7, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -2, 5, -7, 2],\n [-3, -8, 10, 7, 9],\n [-3, 0, -5, -10, -10],\n [-7, -9, -8, 5, -2]]\nB =\n[[2, 7, 8, -9],\n [9, 9, -9, -1],\n [-1, -10, -7, 2],\n [-3, 6, 0, -9],\n [-6, 0, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -7, 9, 10, -8, 4],\n [-5, 4, -2, 2, 5, -3],\n [-2, 1, 5, -2, -9, 4],\n [-4, 6, 1, 5, -10, 2]]\nB =\n[[-8, 5, 5, 4, -2],\n [-2, 3, 1, 10, 5],\n [-1, -3, -7, 1, -6],\n [-6, 5, 6, 0, 2],\n [1, 5, 6, 8, 7],\n [-10, 2, -2, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-751", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 1, 9, 4, 5],\n [-4, 4, -8, -4, -1],\n [9, 10, 4, -6, -4],\n [-6, -4, 8, 6, 0],\n [-3, -3, -3, -10, 0]]\nB =\n[[5, 10, -2, -6, 10, -1],\n [0, -2, 4, 9, -8, -6],\n [-9, 0, -1, -8, 8, -4],\n [6, -7, 10, -8, 10, -2],\n [-4, -10, 10, 10, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -3, 9, -5, -4, 4],\n [7, -8, -1, -4, 3, 10],\n [-5, -1, -6, 3, 9, 4],\n [1, 8, -8, 0, 2, -7],\n [-3, -10, -1, 7, 5, -5],\n [-1, 6, 1, -3, -6, -7]]\nB =\n[[-7, 9, 4, -8],\n [7, 8, -6, -1],\n [5, 4, 1, 1],\n [-8, 9, 1, -8],\n [-6, -3, -5, -9],\n [-5, -8, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1817", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-1, -2, 8, 7, 3],\n [-10, 4, -3, -1, -2],\n [7, 7, 6, -7, -6],\n [-9, 7, -5, 9, -8],\n [9, 7, 6, 9, 5]]\nB =\n[[-3, -10, 9, -10, -3],\n [2, -3, -6, -4, 6],\n [-3, 1, 8, 6, 10],\n [2, 0, 6, 10, -9],\n [10, -10, -10, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -4, -10, 9, -6],\n [-4, -9, 6, 3, 3],\n [-8, 3, 8, 8, -7],\n [7, 8, -9, -9, 10],\n [-2, -1, 9, -8, 6],\n [3, 8, -8, 4, 2]]\nB =\n[[-4, 6, -8, -4],\n [7, -8, 0, -2],\n [-7, 0, 8, -3],\n [3, 7, -6, 8],\n [-5, -5, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-1, -4, 9, 4],\n [-6, 4, 7, -9],\n [-10, -6, 1, -7],\n [4, 0, 9, 6]]\nB =\n[[3, -5, 8, -10, -7],\n [-2, 7, -2, 3, -3],\n [-9, 9, -2, -1, 7],\n [-6, 10, -9, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -7, 9, 3],\n [-4, -8, -1, 7],\n [-3, 5, 3, 5],\n [10, -2, -4, -9],\n [10, -3, -8, 5],\n [3, 3, 5, -7]]\nB =\n[[-1, 7, 1, 6, 5, -10],\n [5, -2, 4, -2, 7, 10],\n [2, 1, 10, -6, 1, -9],\n [7, 6, 4, -10, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1954", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 5, -2, -1, 1],\n [-10, 5, 4, 5, -10],\n [-1, 7, -5, -8, 7],\n [-5, -7, 6, -4, 5],\n [1, 3, -8, -5, 6],\n [5, 6, -6, -7, -10]]\nB =\n[[9, 5, 7, -10],\n [3, 6, 10, 10],\n [6, 5, 9, 4],\n [-10, 3, -3, -8],\n [-1, -6, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "509", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 6, 7, 5, -8],\n [4, -9, -9, 1, -1],\n [8, 4, -4, 2, -3],\n [-1, 7, 5, -2, 4],\n [-9, 8, 0, 4, 7]]\nB =\n[[8, 10, -1, -2, -2, -4],\n [4, -7, 8, 9, 1, -5],\n [5, -8, -9, -3, 7, -1],\n [9, 8, -8, 3, -9, 10],\n [3, -3, -3, 4, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1778", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -3, 1, -6],\n [7, 0, -6, -7, 2],\n [10, -2, -5, -7, 9],\n [-4, -2, 9, -2, -3],\n [-3, 5, -1, 3, 0],\n [-7, -10, -3, -7, -2]]\nB =\n[[7, -9, -1, -2, -9, 3],\n [-2, -7, 6, 1, 9, 4],\n [0, -4, -2, -5, -7, 4],\n [6, -6, 6, 2, -5, 3],\n [5, 3, -7, 3, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1552", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -5, -7, -8, -8],\n [-2, -6, 3, -7, 3],\n [-1, 1, -3, -7, -3],\n [1, 4, -7, 6, -8],\n [5, -9, 5, 5, -5]]\nB =\n[[-8, 10, -8, 8, -4, -7],\n [-1, 1, 8, 8, -3, -2],\n [0, 3, -10, 8, -8, 3],\n [5, -4, -8, -3, -1, 5],\n [10, -8, 4, 5, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 2, 1, -9],\n [0, -3, -1, -7],\n [10, -3, 10, 8],\n [-10, 6, 9, 10],\n [1, 9, -4, -9]]\nB =\n[[9, 7, 5, -10, -1],\n [-8, 1, 6, -4, -5],\n [2, -9, 2, 8, -2],\n [3, -9, 10, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[9, 4, 1, 9, -7],\n [-2, 9, -3, -4, -1],\n [-10, 5, -1, 1, -3],\n [7, 0, 1, -3, -9]]\nB =\n[[3, 2, -10, 9, -8],\n [6, 8, -3, 5, -6],\n [10, -9, 10, 5, -3],\n [4, -6, -6, -6, -2],\n [-10, 5, 3, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 2, 4, -10],\n [-9, 7, 10, 2],\n [-7, 1, -8, 8],\n [-3, 8, 5, -8]]\nB =\n[[6, -7, -2, -3],\n [-9, -7, 6, 3],\n [-4, 3, 1, 4],\n [-5, 3, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -7, -3, 10, 6, -4],\n [0, -8, 8, 2, 4, -10],\n [-10, 7, 7, 6, 2, 0],\n [3, 8, -4, -8, 5, 0]]\nB =\n[[6, 4, 1, -8, -6, 0],\n [9, -8, -3, -10, -2, 2],\n [-6, -3, 9, -3, 3, -7],\n [-4, -3, 6, 2, 5, -6],\n [-4, 1, 0, 9, -6, 3],\n [-10, 7, 6, 2, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1717", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[10, 3, 9, -4],\n [-2, 6, 3, -10],\n [-2, 2, -7, 1],\n [3, 0, 2, 1]]\nB =\n[[10, -6, -10, -3, 3, -7],\n [-9, -6, 10, -8, 6, -4],\n [-7, 9, -5, 6, 10, 3],\n [8, -10, 7, 0, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -7, 2, -3],\n [-10, 2, -9, -7],\n [4, -10, -10, 8],\n [7, 10, -5, -9],\n [7, -8, -3, -3],\n [10, -7, -8, 10]]\nB =\n[[-4, 4, 6, -8, 1],\n [-3, -10, -10, -5, 9],\n [5, 4, 5, -7, -7],\n [5, 0, -10, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1938", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 7, 1, -8, 3, 6],\n [-6, 10, -10, -9, -10, 7],\n [-8, 10, 9, 2, 5, -8],\n [4, 5, 8, 4, 2, 10],\n [4, 2, 10, -10, -1, 10],\n [4, 0, 0, 8, -5, -3]]\nB =\n[[-7, -9, -6, -5, -8, -5],\n [-10, -1, 5, -10, -3, -1],\n [-9, 9, 9, 8, -3, 0],\n [-1, -7, 3, -9, 10, -2],\n [-3, 9, 8, -7, -10, -1],\n [5, 10, 1, 6, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -8, 6, -4],\n [-9, -10, 3, 9],\n [5, -10, 3, -8],\n [-7, 7, 10, 1],\n [5, -4, -2, -4]]\nB =\n[[0, 1, 5, 2],\n [2, -9, -6, -7],\n [-10, 2, -10, -7],\n [4, 8, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 10, -2, 7, -2],\n [-6, -4, 9, 5, -2],\n [9, 4, -6, -8, 8],\n [2, -10, 4, -6, 3],\n [3, 7, 0, 4, -4]]\nB =\n[[-1, -3, -4, -2, -6],\n [0, 8, -8, 2, -9],\n [-7, -3, 5, -3, 1],\n [8, 6, -5, -3, 7],\n [8, 6, -6, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[5, 6, 10, -7, 2],\n [1, -6, 4, -3, 7],\n [0, 7, 2, -5, -5],\n [9, 5, 7, -6, -7],\n [9, -5, -3, -1, 2]]\nB =\n[[3, 0, 0, 6, -6],\n [7, 9, -1, 5, 1],\n [-9, 7, 10, 4, 1],\n [-10, 9, 10, 6, -6],\n [7, 2, 3, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -2, -5, 9, -4],\n [1, -10, 0, 5, -7],\n [10, -1, 4, -1, 8],\n [-5, 9, -9, -2, -1],\n [5, -5, 9, -6, 1]]\nB =\n[[-6, 6, 9, 4],\n [-10, 2, -7, -1],\n [9, -1, 0, 7],\n [-7, -1, -3, -7],\n [-1, 6, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 0, -2, 3, -1],\n [6, 8, 1, -6, -2],\n [-3, 9, 1, 0, 1],\n [9, 3, 9, -7, -6]]\nB =\n[[-4, 1, 10, 8, -6, -6],\n [6, -1, -1, 9, 10, -8],\n [5, 4, 8, 2, 4, 2],\n [5, -1, -5, -4, 10, 9],\n [-9, 1, -8, 6, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1329", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 7, 9, -4],\n [9, -5, -4, -4],\n [5, 4, 6, 2],\n [-7, 7, -3, 6],\n [-10, -9, -6, 2],\n [-3, 7, -8, 10]]\nB =\n[[-8, 2, -10, 8, 2],\n [8, -1, 8, -2, -4],\n [9, -9, -2, -9, -9],\n [10, -1, 9, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, -7, 1, 7, 9],\n [-6, -6, -9, 3, -6, 0],\n [4, 1, 4, 8, 10, 10],\n [0, 5, -1, 1, 5, 10]]\nB =\n[[0, -4, 1, 1, -8, -3],\n [-5, 1, -8, 5, -7, -8],\n [-2, -4, -7, 7, 10, -1],\n [-6, -5, 4, -1, 10, -3],\n [-9, -7, -8, 9, -2, -8],\n [0, -1, -1, -6, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1238", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 10, 9, -6, 7, -2],\n [-3, -2, 10, 1, 7, 1],\n [4, 0, -3, -6, 8, -6],\n [9, -6, -7, -2, 9, -8]]\nB =\n[[-10, 4, -10, 4],\n [-7, -4, -7, -10],\n [6, -5, -9, 6],\n [-7, -4, -3, 10],\n [6, -7, -8, 0],\n [9, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-1, -6, -7, 10, 0],\n [1, 7, -7, 2, -3],\n [-5, 6, -6, -5, -2],\n [7, -1, 0, -6, -10],\n [8, -2, -10, 9, -10]]\nB =\n[[8, -2, -7, 0, -9, 8],\n [-2, -5, -5, 7, 9, -7],\n [1, -1, -2, 8, -3, -7],\n [5, 9, -7, 3, -5, 8],\n [8, -3, 5, 2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, -8, -8],\n [6, 1, -7, -5, 9],\n [-6, 5, -1, 1, -4],\n [-2, -2, 8, 8, 3],\n [5, -8, -1, -4, 0]]\nB =\n[[-9, -8, -10, -9, -8],\n [-10, -9, 9, 5, 9],\n [-9, 6, -3, 0, 9],\n [9, 0, 7, 9, -9],\n [-4, 7, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1699", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 7, 3, -5],\n [-4, -7, 1, 0],\n [4, 9, -1, -2],\n [8, 7, -6, -3],\n [10, -5, 6, -1],\n [0, 5, -10, -8]]\nB =\n[[4, -4, 3, -1],\n [2, 2, -6, 9],\n [2, -9, -4, -6],\n [-7, -8, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1230", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 0, 7, 8, -5],\n [9, -4, 5, 6, 3, 3],\n [6, -2, 1, 10, 3, 1],\n [-4, 9, 1, -3, 4, -7],\n [-4, -4, -7, -4, 9, -9],\n [-5, 10, -6, -7, 5, -10]]\nB =\n[[5, 0, 10, 1],\n [2, 1, -9, 10],\n [-3, -3, -8, -4],\n [-4, 6, -8, -2],\n [-2, -1, 9, 6],\n [10, 0, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "813", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -4, -4, 5],\n [-9, -5, 6, -2],\n [-9, -8, -9, 3],\n [-3, -5, 6, 5],\n [-8, -8, 0, -8],\n [-9, 2, 4, 1]]\nB =\n[[5, -8, 8, -6, -1],\n [-8, 6, -8, -2, -9],\n [-7, 0, -2, -6, 10],\n [1, -4, -5, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1499", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 2, 2, -9, 0],\n [3, 8, 9, 6, 9],\n [-5, -3, -2, -9, 8],\n [10, 2, -6, 10, -1],\n [6, -1, -6, 0, 9]]\nB =\n[[1, -3, -6, -8, 4],\n [9, 1, 9, -2, 0],\n [-9, -9, 2, -5, 10],\n [0, 3, 6, 10, -4],\n [-6, -5, -6, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, 8, -6, 5],\n [4, 2, -4, -5],\n [9, 4, 5, 2],\n [-7, 4, 7, -2]]\nB =\n[[-7, -8, -6, 10],\n [-3, -2, 9, -7],\n [-2, -9, -7, -4],\n [10, 10, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 2, 2, -3, -1, 8],\n [9, -6, 0, -8, -3, 2],\n [-4, 0, -2, 7, -8, -6],\n [6, -6, 3, 4, 10, 5]]\nB =\n[[8, 1, 10, 3, -2],\n [-1, -6, 9, 7, 7],\n [2, 7, 2, -9, 8],\n [8, -9, -5, 8, 0],\n [-4, 6, 8, -2, 4],\n [-6, 8, -4, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -5, 5, -8, 8],\n [-6, -6, -3, -3, -8],\n [9, 7, -2, -1, 2],\n [-2, -6, 5, 2, 8],\n [-10, -4, 0, 9, -8],\n [-6, 9, 5, 2, -2]]\nB =\n[[0, -4, -3, 2],\n [-6, 2, -10, -7],\n [7, -3, -3, -6],\n [-5, 4, 3, -2],\n [7, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -6, 4, 4],\n [9, -2, 3, -1],\n [-10, 6, -7, 3],\n [-2, -6, 9, 4],\n [-4, -4, -7, -5],\n [8, -2, -1, 0]]\nB =\n[[8, 1, 6, -9, 3, 10],\n [-5, 0, -8, -2, -3, 6],\n [-1, 7, 4, 3, 0, 7],\n [10, 2, -8, 1, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1983", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -4, -8, -2, -2],\n [-10, -5, -10, -2, -7],\n [1, 8, -7, 8, -6],\n [-9, 4, -9, -9, 2]]\nB =\n[[4, -1, -2, -7],\n [9, 3, 1, 2],\n [-7, 1, 0, 1],\n [-2, -3, 6, 1],\n [-9, 4, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "671", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -10, 9, 4, -10],\n [10, -7, 10, -7, 9],\n [-6, -9, -1, 8, 5],\n [6, 10, 7, -1, 7],\n [9, -9, -10, 9, 9],\n [2, -5, -4, -1, 4]]\nB =\n[[9, 1, 9, 8, 9],\n [-3, 2, -7, 8, -5],\n [-5, -1, -8, 4, -9],\n [4, 2, -7, -8, -6],\n [-10, -6, 6, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "841", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 9, -2, -5, -1, -5],\n [-4, -6, -1, 1, 6, -7],\n [5, 10, -5, 4, -4, 4],\n [-6, -8, -8, -2, -3, 3],\n [-2, 2, 0, 3, -6, 8],\n [-10, 10, -5, -8, 2, -6]]\nB =\n[[-6, -8, 1, -7, 3],\n [-10, -3, 8, 8, 4],\n [10, 8, 3, 1, 7],\n [-2, -10, -2, -9, 7],\n [-9, -1, 10, 7, -8],\n [8, -4, -9, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2479", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -3, -10, -5],\n [-4, 1, -5, 4],\n [8, -6, -10, 7],\n [-6, 2, 3, -7],\n [6, 3, 3, 7],\n [1, 0, -8, 10]]\nB =\n[[5, -4, 6, 10, 6],\n [-4, 1, 6, -3, 6],\n [10, 3, 0, -10, -10],\n [-7, 1, -6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -3, 9, -8],\n [0, 1, -4, 4],\n [-1, 5, 5, -6],\n [-2, 0, -5, 0]]\nB =\n[[-7, -9, -1, 6, -9, -7],\n [9, -2, 5, 4, 2, -9],\n [10, -4, 3, -3, 2, 10],\n [-4, -3, -9, 10, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 9, 8, 2],\n [-5, 3, -4, -7],\n [-10, -1, -8, 5],\n [-3, 9, 2, -9],\n [-7, 0, -10, -7]]\nB =\n[[-6, -3, 4, -1, 7, 2],\n [7, 6, -3, 5, -9, 0],\n [-10, 7, -6, 5, 10, -6],\n [0, -9, -9, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -10, -2, -7, 3, 4],\n [8, 8, 9, -5, -2, -10],\n [-10, -8, 9, 5, -5, -10],\n [-5, -9, 10, -5, -10, -5]]\nB =\n[[-6, -6, -5, -7, -3, 6],\n [0, 3, -9, 1, -9, 4],\n [-6, 5, 5, 8, 2, 10],\n [2, 3, -8, -9, 8, -7],\n [7, -8, 5, -1, -7, 0],\n [-1, -8, 5, 7, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 10, -10, 0],\n [5, 10, 8, -1],\n [2, 6, -3, 5],\n [7, 4, 3, 1],\n [-5, -4, 1, -2],\n [5, 7, -1, -8]]\nB =\n[[0, 9, -10, -1, -2, -8],\n [2, 3, 1, 4, -8, -4],\n [6, 6, -6, 3, 8, 9],\n [-4, -4, 1, 6, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-319", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -5, -9, -6, 6, 2],\n [6, -4, 9, 0, 6, -7],\n [8, 0, 8, -6, -10, -5],\n [-4, -3, 7, 10, -3, -6],\n [5, 4, -9, 4, -7, 9],\n [-2, -4, 5, -5, -4, 3]]\nB =\n[[-4, -3, 7, -6, 9, 5],\n [-10, -1, -10, 3, -7, 1],\n [5, -5, 5, -5, -9, 1],\n [8, -8, 10, 10, 5, -5],\n [7, 3, 1, -1, -5, -9],\n [-10, 2, -4, -9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 2, 4, -4],\n [-7, 6, 0, -7],\n [9, -9, -6, -5],\n [4, 3, 10, -3]]\nB =\n[[2, 1, -7, -8, 5],\n [6, -1, -5, -5, 8],\n [-10, -6, -9, -1, -3],\n [-8, 8, -1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-370", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -4, -1, 1, -1],\n [10, 0, 9, -9, -10],\n [-4, -7, 6, -9, 3],\n [1, 1, 5, 2, -9],\n [-9, -1, 1, -8, 6]]\nB =\n[[-9, 6, 5, -7],\n [-4, -8, -8, -6],\n [-2, -1, -8, -7],\n [0, -4, 1, -5],\n [8, 6, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -5, -3, -3, 6],\n [0, 6, -8, 2, 2, -6],\n [-4, 7, 6, 5, -1, 7],\n [4, 4, -7, 0, 8, -9],\n [-8, 8, 5, -7, -9, -1]]\nB =\n[[-3, -9, 2, 0, -9],\n [-6, -4, 9, 7, 4],\n [5, 4, 10, 8, 2],\n [3, 8, -4, -8, 9],\n [-1, 8, 2, 5, -7],\n [2, -10, -7, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 6, 10, -4, -1],\n [-4, -7, -10, -2, 9, 4],\n [-9, -2, -3, -8, -10, -10],\n [2, 4, 6, -9, -7, -1],\n [4, 6, 4, 6, 2, 9]]\nB =\n[[3, -6, -6, 1, 2],\n [-8, 5, -10, -3, -9],\n [1, -7, 2, -8, -6],\n [9, 3, 10, -1, 3],\n [5, 4, 7, 4, 2],\n [-3, -3, -5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1960", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 5, -3, -8, -6],\n [5, -6, -3, 0, -7],\n [9, -2, -4, -2, 1],\n [1, -6, 4, 3, -6],\n [-10, 4, 8, 0, 1]]\nB =\n[[5, -3, -1, -10, -9, 4],\n [0, 0, -2, 1, 3, 3],\n [2, 6, -1, -1, 5, 3],\n [-5, -7, 0, -1, 2, -7],\n [1, -1, -6, 1, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -6, -3, -1],\n [1, 9, -2, -1],\n [-7, -5, -7, -7],\n [-5, 0, -8, 1]]\nB =\n[[7, 10, 6, -7, 1],\n [-2, -8, 9, -9, -6],\n [1, 0, -3, 1, -6],\n [-4, 8, 3, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 2, -10, 1, -1],\n [7, -6, 0, -7, 10],\n [1, 8, 6, 10, -5],\n [8, -6, 9, -7, 4],\n [1, 7, 8, -9, -5],\n [4, 2, 2, 1, -1]]\nB =\n[[-6, 7, -1, -6, 2, 5],\n [5, -5, 7, 0, 10, -8],\n [-10, 10, -8, -10, -3, 2],\n [4, 8, -10, 4, -8, -7],\n [2, -9, 8, -6, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -6, 8, 2, -5],\n [-7, 3, 6, 5, -6],\n [0, 0, -3, 10, -1],\n [2, -9, 9, -8, -3],\n [-7, -9, 10, -4, 6]]\nB =\n[[4, 2, -10, -1],\n [10, -2, -8, 1],\n [-8, -9, -6, -9],\n [2, 4, -9, -8],\n [-7, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-931", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-6, -10, 7, -7, 5, 6],\n [2, -9, 2, 1, -1, 9],\n [10, -4, 0, 9, 10, 0],\n [-8, 0, -2, -1, 5, -10]]\nB =\n[[-4, 2, 2, 6],\n [6, -4, 1, -1],\n [4, 8, 6, -7],\n [-4, 0, 4, -7],\n [-3, 7, -3, -6],\n [3, -1, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 7, 0, -6],\n [2, -6, -10, -4],\n [6, -1, -5, 3],\n [8, -5, 2, -10],\n [-7, 3, 10, 2],\n [0, -7, 8, 10]]\nB =\n[[-10, 1, -1, -7],\n [-7, 7, -10, -9],\n [-7, -10, 5, 7],\n [8, 9, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 6, 2, -5],\n [-6, 2, 5, 6],\n [-7, 5, -10, -4],\n [6, 5, 0, -6],\n [1, -2, -9, 3]]\nB =\n[[-10, 10, 10, -7, 3, 1],\n [10, 5, -10, -7, -4, -4],\n [-9, 9, 8, -5, -5, -2],\n [-3, -4, 0, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-3, 2, -4, -2, 3],\n [9, 2, 2, -8, 0],\n [2, -2, 4, 7, 8],\n [3, 1, 8, 4, 5],\n [-8, 4, -2, -4, 0],\n [-2, -5, -2, 9, -8]]\nB =\n[[-1, 9, -9, 6],\n [4, -4, -6, 9],\n [8, 6, -10, -1],\n [4, -4, 4, 0],\n [-6, -1, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 2, 6, 8, 4],\n [-7, -5, 0, 1, 1],\n [1, -4, 9, -3, -1],\n [-2, 4, -8, -5, 9]]\nB =\n[[0, -4, 3, 2],\n [2, -8, -7, 3],\n [-3, -6, 2, -3],\n [-7, -4, -5, -6],\n [-8, -7, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[5, 9, -8, 8],\n [7, 6, 5, 0],\n [4, -3, 3, 7],\n [2, 3, -3, 3],\n [10, -1, 10, 8]]\nB =\n[[2, -3, 4, -9, 2],\n [0, -4, -9, -3, 5],\n [-7, 1, -3, -1, 1],\n [3, 7, -8, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, -4, -8, -1],\n [3, 9, -8, -1],\n [5, -10, 0, 8],\n [5, 10, 4, -8]]\nB =\n[[-2, 1, 1, 10, 4, -8],\n [10, -3, -1, 9, -3, 6],\n [-3, 6, -2, -1, -3, 10],\n [10, -10, 3, 0, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 0, -10, -4],\n [-9, -10, 3, 5],\n [-3, -7, -6, -9],\n [10, -5, 3, -8],\n [6, 1, 10, 0],\n [5, -3, -5, -2]]\nB =\n[[10, 6, 8, 7, -8],\n [10, 8, -4, 2, 0],\n [-8, 6, 1, -1, -6],\n [4, 8, 1, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1906", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-1, -8, 5, -6, 2],\n [-1, 5, 2, -2, 6],\n [8, 8, -7, -10, 5],\n [-5, -5, -1, -9, 7],\n [5, -5, 3, 9, 3]]\nB =\n[[3, 1, 0, 9, -9],\n [-8, -6, 0, -6, -3],\n [-3, -6, -3, 8, 10],\n [4, -7, 3, 3, -2],\n [5, 4, 9, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -10, -3, -1, 8],\n [-10, -5, -8, 10, -9, -4],\n [4, 5, -2, -3, 2, 9],\n [5, 5, 4, 9, 4, -1],\n [-3, -6, -7, -5, -7, -9]]\nB =\n[[-1, 5, 7, 2],\n [-1, -9, -1, -7],\n [7, 7, -2, -3],\n [2, -5, 10, 10],\n [7, -7, -10, -7],\n [-8, 1, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1509", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 5, 9, -6, -7, 7],\n [8, -3, -10, 7, -2, 0],\n [-2, 1, -9, 0, 9, -9],\n [-6, -2, -9, -4, -1, 1],\n [-9, -4, 7, -6, -4, 6],\n [-1, -6, 7, 4, -9, -9]]\nB =\n[[-2, -4, 5, -6, -3, -3],\n [-8, -10, 7, -8, 0, 0],\n [4, -2, 4, 6, -5, 3],\n [-6, -7, 6, 5, 5, -6],\n [1, -5, 9, 7, 1, -2],\n [-10, 10, 1, 8, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -5, 5, -10],\n [-4, 4, -2, 1, -7],\n [8, -10, 0, 9, -4],\n [6, -1, -4, -7, -6],\n [-10, -6, -10, 1, 5],\n [-2, 7, 8, 5, 4]]\nB =\n[[-1, 8, -1, -2, 6, -1],\n [-5, 8, -2, -6, -7, 4],\n [-10, -3, -6, -2, -9, 9],\n [8, -10, 2, 6, -4, 6],\n [0, -3, 4, -10, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2419", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -1, -7, -4, 6, -1],\n [-7, -8, 3, -7, 0, -5],\n [-9, -7, 3, 5, -8, 4],\n [-1, -5, 3, -1, 4, 2],\n [7, -9, 5, -2, -1, 3]]\nB =\n[[-3, 8, 10, -4, 1, -3],\n [-2, 0, -5, -3, -10, 3],\n [6, -10, 7, 10, -9, 3],\n [2, -9, 6, -4, -3, 3],\n [-1, -9, -1, -9, 8, -2],\n [4, -10, 3, -6, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -4, 1, 6, 1, 10],\n [-4, -5, 10, -5, -9, 1],\n [7, -8, 6, 1, 3, -5],\n [-8, -1, 2, -8, 5, 7],\n [5, 5, -1, 6, -10, -4]]\nB =\n[[-7, -2, -2, -5, 3, -8],\n [-5, -1, 8, -8, -5, 3],\n [-10, -2, 10, 3, 7, -7],\n [-2, 8, -10, 10, 10, 9],\n [0, -1, -5, -5, 3, -7],\n [2, 5, 8, -5, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -10, 8, -4],\n [8, 0, 7, -9],\n [3, -8, 1, -4],\n [-3, -10, -10, -9],\n [7, 8, 9, -10]]\nB =\n[[-7, 7, 10, 6],\n [7, 0, 3, -1],\n [-2, 8, 6, -2],\n [-6, 8, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "918", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -5, 2, 0, -7, -2],\n [4, 3, -8, 6, -1, -7],\n [-8, 4, -1, -9, -6, 1],\n [-1, 0, 10, 3, -6, 9],\n [-1, 6, -10, 0, -2, -9],\n [1, 10, 10, -9, 9, -10]]\nB =\n[[6, -4, 7, 7, 2, -1],\n [7, 8, 7, -10, 1, 6],\n [-8, 2, -2, 5, 10, -7],\n [6, 2, 8, 7, 3, -2],\n [-4, 2, 5, 3, -5, -2],\n [-4, -5, -8, -9, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 7, 7, -2],\n [9, 8, -3, -7, 9],\n [8, -9, 8, 10, -5],\n [-1, 6, 2, -2, -2]]\nB =\n[[0, 8, 1, -8, 0, -4],\n [3, -10, -1, -4, -4, -6],\n [8, 0, 2, -5, 10, -7],\n [-4, 5, 0, -6, -1, -3],\n [1, -10, 8, 3, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -6, -2, 10, 5, 6],\n [-7, -2, 8, 5, 0, -6],\n [9, -10, -2, 1, -3, 6],\n [7, -9, 5, -2, 8, 0]]\nB =\n[[-4, 2, 2, 4],\n [10, 0, 3, 9],\n [6, -10, 9, 6],\n [2, 2, 7, 5],\n [-2, -8, 10, -4],\n [5, -8, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "983", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[10, -9, -2, -1, 3, -4],\n [6, -6, -4, -1, -9, -2],\n [-10, 2, 5, 9, -1, 10],\n [-1, -2, -7, 10, 4, 0],\n [-5, 10, -5, -3, -1, 10],\n [8, 2, 9, 2, -9, 7]]\nB =\n[[4, 10, -5, 4],\n [4, 3, 4, 7],\n [2, 8, 5, 3],\n [3, 6, 3, 2],\n [-4, 3, -1, -5],\n [0, 6, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 7, 1, -4, 2, -9],\n [3, 8, 4, -1, -1, -4],\n [-10, -8, 5, -3, -4, -8],\n [2, 7, 6, 0, 0, 5],\n [4, 6, -4, -7, 0, 8]]\nB =\n[[-9, 10, 4, 9, -3],\n [-9, -4, -7, -7, -1],\n [3, 7, 0, -1, 5],\n [2, 1, -5, 1, 8],\n [10, -7, 8, -5, -2],\n [10, 7, -4, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -10, -9, 5, -5, 9],\n [-10, -6, -8, -10, -4, -2],\n [5, 4, 3, -3, 9, 1],\n [5, 3, 10, -4, 1, -1],\n [-9, -4, 7, -2, 6, 9],\n [-4, -5, 6, -1, -1, 8]]\nB =\n[[-10, -5, 2, 4, 3, 1],\n [7, 5, -2, -7, 10, -4],\n [-1, 8, -8, -2, -2, -3],\n [9, 4, -6, -1, -9, 9],\n [-2, -10, -9, -10, -2, 4],\n [7, -10, 3, 5, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -10, -2, 7, -6],\n [6, -3, 4, -9, 6],\n [-8, -9, 9, 4, -5],\n [-3, -2, 2, 3, 8],\n [-2, 9, -1, -7, 4],\n [-7, 4, 5, -7, 8]]\nB =\n[[-1, -6, 4, 9, -8],\n [-7, -4, -3, -7, -10],\n [0, 8, 4, -6, 4],\n [9, 1, -5, 10, -7],\n [1, -3, 10, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2525", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -6, 4, -4, -3],\n [9, 0, 4, -8, -1],\n [-6, 10, 1, -1, 10],\n [2, -8, -5, -8, 2],\n [-6, -3, -6, -7, 10],\n [10, -1, -6, 2, 10]]\nB =\n[[7, 3, 1, -2, 0],\n [3, 0, 3, 3, -2],\n [10, -1, -1, -8, -2],\n [-7, -4, -5, 5, -10],\n [4, -2, -3, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1366", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[2, 2, -6, 6, 3],\n [4, -7, 5, -6, 2],\n [1, -2, -2, 5, 3],\n [10, -8, 0, 8, 0]]\nB =\n[[-1, -9, 10, 9],\n [4, 3, -1, -7],\n [8, 3, -2, 1],\n [-5, 2, -7, 8],\n [-1, 7, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, -4, 9, -10],\n [7, 0, 10, -4, 6],\n [-9, -9, -7, -3, 8],\n [1, -9, -2, 1, -6],\n [6, 7, 5, 0, -3],\n [-5, 8, 5, 8, 2]]\nB =\n[[-9, -6, 7, -10],\n [8, -4, -10, -9],\n [6, -6, 9, -6],\n [10, 4, -8, -5],\n [-9, 2, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-1, -1, 2, -9],\n [-3, 8, 2, 9],\n [4, -3, -2, -9],\n [3, 7, -2, 10],\n [8, -1, -3, 5],\n [1, -7, 7, -10]]\nB =\n[[-6, -9, -7, -9, -10, -5],\n [5, -10, 8, 7, -9, -9],\n [-9, 7, -8, 6, 1, 8],\n [-7, -2, 2, -2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -9, 1, 5, 0],\n [2, -8, 10, -8, -3],\n [3, -9, 6, 0, -1],\n [-1, -1, 3, 9, 6],\n [-4, -3, 5, 10, 6],\n [-8, -9, -8, 3, -5]]\nB =\n[[3, 5, -1, 4],\n [3, -7, -2, -5],\n [3, 3, 6, -10],\n [2, 7, -10, -3],\n [-6, 1, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -8, -6, 4],\n [-2, -7, -7, -9],\n [-2, -7, 5, 3],\n [4, 7, -3, -8],\n [10, -9, -1, -7]]\nB =\n[[-9, -6, -8, 7],\n [0, -4, -6, 1],\n [1, -10, 10, -10],\n [7, 4, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -9, -9, -2, 5, 5],\n [10, -10, -5, 2, 6, -1],\n [-5, -8, -6, -9, 8, 5],\n [2, 7, 0, -5, -10, 1],\n [1, 6, 4, -3, 2, 4]]\nB =\n[[10, 0, -5, 7],\n [4, 1, -1, -4],\n [0, -3, 9, -5],\n [-5, -8, 6, -4],\n [1, -10, 9, -9],\n [-6, -3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, -6, -7],\n [-10, -10, 5, -8],\n [-5, -6, 9, 5],\n [-1, 6, -10, 2],\n [8, -3, -6, 1]]\nB =\n[[10, -6, 2, 0],\n [10, -6, -7, -10],\n [-4, -1, 4, -8],\n [5, -7, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 6, -10, 0, 2],\n [-3, 1, -2, -8, -4],\n [-9, -9, -3, 2, 5],\n [1, 7, -5, 8, 0],\n [4, -9, -4, 8, 0]]\nB =\n[[5, 3, 7, 6, 0],\n [9, 6, -10, 1, 2],\n [-1, -9, 9, 7, 8],\n [-5, -7, 5, -10, 6],\n [-10, -6, -6, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-508", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 5, -5, 4, 6],\n [9, 4, 7, -4, 6, 6],\n [-1, -10, 5, 6, -5, 9],\n [10, 6, -10, -10, -9, -1]]\nB =\n[[10, 9, 4, 7],\n [8, -9, -7, -10],\n [1, 10, -2, 8],\n [-6, 4, 3, 3],\n [-6, -3, -2, 3],\n [5, 2, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[2, 1, 3, 8, 4, 0],\n [-9, -6, 7, 8, 6, -2],\n [-9, 6, -10, -3, 1, 4],\n [-8, 10, -3, -2, 0, -7]]\nB =\n[[1, 3, 6, 8, 9],\n [2, 10, -5, 5, 3],\n [1, -2, -3, 5, -4],\n [-8, 2, 1, -9, -7],\n [1, -8, -10, 7, 6],\n [3, 5, 3, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[10, 1, -5, -4, 7, 8],\n [-1, 10, 1, -2, 0, 6],\n [9, 1, 3, 2, -10, 4],\n [-7, 6, -4, -7, 5, 0],\n [-4, 3, 4, -8, 10, 4]]\nB =\n[[-5, 3, -2, 9],\n [-4, -4, 0, -5],\n [-4, -9, -8, 8],\n [10, 1, 10, 4],\n [3, 4, -5, -3],\n [8, -10, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -3, -8, -3, -7],\n [-10, 5, -6, -10, -1],\n [-8, 10, -8, 5, -10],\n [-3, 4, 7, -2, -5],\n [5, 3, -3, -9, -5]]\nB =\n[[-6, -6, -4, 2],\n [1, -2, 2, 3],\n [-1, -9, -4, 8],\n [-7, 4, 3, 1],\n [10, 2, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 0, 0, 1],\n [9, 2, -10, 5, -10],\n [-4, 10, 5, -8, 9],\n [-1, 3, -4, 4, 3]]\nB =\n[[-7, 2, 6, -4],\n [-2, 7, 4, 6],\n [-3, -8, -5, -5],\n [2, -7, -7, 7],\n [6, 8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -5, -9, -7],\n [-8, 5, -1, 5],\n [5, -2, -7, 6],\n [7, 0, -6, -4],\n [10, 0, -9, 2]]\nB =\n[[-7, 0, -7, -2],\n [-1, -6, -9, -1],\n [5, 8, 4, 1],\n [-9, -7, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-810", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 9, -8, -6],\n [7, 0, 9, -7],\n [0, 2, 1, 7],\n [-6, 3, -1, -3],\n [-9, 8, -6, -2],\n [6, 0, 6, 7]]\nB =\n[[-1, 1, -7, 7, 5],\n [3, 9, 1, 7, 7],\n [8, -1, -7, 2, -7],\n [-1, 0, -7, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "637", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-5, 6, -10, 8, 0, -6],\n [2, 9, 6, 4, 0, -7],\n [2, 1, -9, -10, 1, -6],\n [0, -8, -3, 4, 5, 2],\n [-9, -9, -9, -5, -10, -1],\n [10, -2, 10, -5, -1, -9]]\nB =\n[[-1, -10, 0, 8, 2],\n [10, -9, -1, -9, 8],\n [-1, -7, -6, -3, -4],\n [-6, -6, -2, -6, -7],\n [-3, -3, -3, 3, 4],\n [9, 8, 1, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[9, -3, 9, 7],\n [3, -2, 4, 0],\n [-4, -5, -2, -3],\n [-3, 1, -8, 0],\n [-8, 7, -9, -1]]\nB =\n[[-7, -6, -3, 9, 4, -1],\n [2, 8, 9, 9, 9, 7],\n [-8, 10, 3, -1, -4, -6],\n [-4, 0, 5, -10, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 7, 9, 9, 10, 0],\n [10, -5, -6, -10, 7, 1],\n [-10, 2, -2, -3, -8, -7],\n [10, 4, -2, 3, -6, -10],\n [-3, 10, 0, -3, -4, 7],\n [10, -1, 5, 7, -2, 10]]\nB =\n[[-5, 6, 9, -10, -10, 6],\n [-4, -3, -7, 8, 8, 9],\n [-9, -8, -10, -2, 6, 4],\n [-9, 5, -2, 5, 6, -2],\n [-2, -7, 7, 7, -8, -7],\n [-8, 2, 1, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 0, -9, 8],\n [-2, -6, -2, -3],\n [4, -3, -8, -5],\n [7, 3, 9, 6],\n [7, 10, 7, 3]]\nB =\n[[5, 2, 10, 0],\n [-10, -7, 9, -4],\n [-8, -8, 1, 2],\n [-4, -10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1483", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 3, 6, 7, -10, -9],\n [0, 6, 6, 2, 8, -8],\n [-3, -8, 1, -5, 9, 1],\n [8, -10, 3, -8, 7, -1]]\nB =\n[[5, 10, -5, 9, -7],\n [4, -2, -5, -5, -6],\n [2, 3, 7, 4, -5],\n [1, 0, -8, 2, -9],\n [-9, -2, 1, 6, 2],\n [2, -1, -4, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1621", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 10, -9, -9, 1],\n [-7, -6, 4, 0, 6],\n [3, 0, -6, 10, -1],\n [1, 7, -10, 1, 2],\n [9, 4, 8, 1, -8],\n [-7, 5, 9, 3, -6]]\nB =\n[[2, 6, -4, -2, 3],\n [0, 3, 1, 6, 7],\n [0, 6, -9, -10, -6],\n [3, -3, 0, 8, 6],\n [7, 8, -1, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -6, -2, -4],\n [5, -2, -5, -6],\n [9, 2, 9, -10],\n [-10, 3, 9, 3],\n [5, 1, 0, 5],\n [4, -10, 1, -1]]\nB =\n[[-6, 1, -8, -7, 5, 3],\n [-4, 3, -1, -6, -8, 3],\n [-2, -5, 0, 0, -5, 10],\n [3, 0, 10, 4, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-9, -6, 3, -3, -6, -8],\n [0, -6, -5, -9, 2, -8],\n [-9, 6, -6, -8, 7, 0],\n [1, 1, 8, -1, -7, 9],\n [-7, 4, -8, -10, -5, -2],\n [-1, -9, 0, 10, 9, -7]]\nB =\n[[4, 2, -6, 1],\n [-2, 5, -1, 1],\n [10, 10, -9, -10],\n [-8, -9, -5, 8],\n [-9, -7, -5, 7],\n [7, -1, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, 6, 9],\n [2, 0, 1, 6],\n [-7, -6, -2, -7],\n [-8, 6, 10, 9],\n [8, 8, 4, -2],\n [-1, 4, -5, -9]]\nB =\n[[3, 6, -8, -7, 7, 2],\n [6, 9, -1, 5, -3, -7],\n [-10, -3, 1, 10, -8, 0],\n [-1, 2, -10, 7, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2282", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[3, -4, -9, -3, -1],\n [3, -1, 5, 9, 9],\n [9, 4, -8, -5, 0],\n [-6, 0, 9, -7, 7],\n [8, 4, 3, 5, -2],\n [-2, 6, 1, -2, -9]]\nB =\n[[9, 4, -5, 2, -4],\n [9, -8, -3, 5, -5],\n [4, -1, -7, 0, -3],\n [5, -7, 9, -6, -8],\n [-9, -9, 5, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[10, 1, -3, -6],\n [-1, -4, -8, 8],\n [8, 9, -5, 7],\n [-10, 6, -4, -7],\n [3, 10, 8, -5]]\nB =\n[[1, 5, -4, 5, -4, 10],\n [3, 9, -5, -2, -9, -2],\n [-4, 3, 8, -1, -9, 0],\n [3, 2, -4, 4, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -6, 2, 5, -10, 10],\n [-1, -7, -5, -4, 6, -10],\n [-5, 1, 10, 3, -10, 0],\n [-5, -5, -1, 5, -3, 7]]\nB =\n[[-7, -7, 0, -10, -7, 6],\n [3, 6, 5, 8, -8, 1],\n [7, -5, -8, 2, -6, -1],\n [-5, 8, 0, -5, -6, 3],\n [-4, -7, 10, -3, -5, 5],\n [1, -4, -10, 0, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -1, 1, 4, 4, 5],\n [3, -5, -6, -4, 8, 2],\n [3, -10, 10, 1, 3, -1],\n [5, 10, 5, 8, -6, 4]]\nB =\n[[4, 7, -8, -9, 5, -2],\n [3, -2, 0, -5, 4, 3],\n [5, -8, -3, -1, 3, 1],\n [-9, 0, -6, 9, -2, 0],\n [2, 6, -9, -1, -1, 6],\n [-5, -9, 10, 9, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -10, 8, -9, -5, -2],\n [10, -5, 1, -8, 0, -9],\n [-8, 9, -4, 0, 8, 2],\n [-9, 1, -9, -7, 2, -9],\n [6, -3, -10, 0, -5, 1]]\nB =\n[[-4, 9, 7, 6, 7, 8],\n [10, -6, -2, -2, 7, 7],\n [4, 10, 4, 2, -5, 4],\n [1, 8, -10, -2, 10, 8],\n [3, -2, 2, 8, 3, -6],\n [-9, -5, 8, -3, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, 3, 3, -3],\n [-9, -6, -8, 10, -1],\n [4, 5, 2, 4, 10],\n [-2, 0, -9, -7, -2],\n [7, -9, -10, -7, -2]]\nB =\n[[6, 8, -4, -4],\n [3, -3, 7, -9],\n [9, -4, 9, -1],\n [10, -2, -4, -1],\n [-7, 7, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, -6, 3, 5],\n [10, -6, -9, -9],\n [6, 8, -4, -9],\n [-6, 0, 10, 3],\n [9, -1, 0, -3],\n [-5, -10, -9, -5]]\nB =\n[[7, -3, 0, -4, -9, -7],\n [-6, -4, -10, -10, -4, -3],\n [7, -9, 9, 5, -2, 10],\n [2, -4, 9, 10, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, -9, -3, -4, 7],\n [5, 10, 6, -7, 0, -3],\n [-9, 8, -9, 8, 9, 2],\n [5, 3, -2, -10, -9, 4]]\nB =\n[[-5, 4, 5, -1],\n [-1, -4, -4, 2],\n [2, 8, -6, 4],\n [3, 7, 10, 9],\n [-10, -1, 7, 8],\n [3, -4, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 10, -10, 7, 4, -5],\n [-2, -5, 8, -2, 2, -8],\n [-8, 7, -4, -7, -6, 1],\n [-7, 9, 6, 8, -7, 10],\n [1, -9, 5, -2, -4, -2],\n [-1, 10, -7, -9, 7, 2]]\nB =\n[[1, 6, -5, -3, -1],\n [-7, -1, -6, -7, 1],\n [2, 5, -9, -7, -10],\n [2, 6, 5, -7, 7],\n [-4, 3, 6, -4, -2],\n [8, -10, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1953", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -10, 0, 9, -1, -3],\n [6, 9, 0, -1, -6, 7],\n [7, -9, 2, 4, -10, 8],\n [8, -4, -1, 3, -1, 9],\n [3, 0, 1, 2, 4, -1]]\nB =\n[[-9, 1, -3, -9],\n [9, -2, 4, -9],\n [8, -2, 1, -4],\n [6, -4, -7, 1],\n [-9, 9, 2, -4],\n [0, -8, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 2, -2, -6],\n [-5, -9, -4, 9],\n [-1, -2, -3, -3],\n [7, 8, 2, 8],\n [4, 2, 7, -1],\n [-6, -7, -3, -6]]\nB =\n[[6, -5, -5, -1, 4],\n [6, -6, -9, -5, -10],\n [-8, 6, 9, 4, 9],\n [-7, -3, 3, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1322", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-9, 9, -7, -10, -4],\n [7, -10, -5, 2, -6],\n [3, -3, -2, 3, -9],\n [8, -4, 3, 7, 3],\n [3, 3, 2, -9, 10],\n [1, 6, 7, -3, -10]]\nB =\n[[-1, 5, -4, -9],\n [-8, -5, -10, 6],\n [7, -8, 2, -9],\n [-7, 2, 0, 1],\n [10, -5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 7, 3, 9],\n [8, 8, 6, 7],\n [-5, 7, 6, -4],\n [-1, -9, 10, 6],\n [-4, -2, 5, 9],\n [2, -6, -6, 2]]\nB =\n[[-3, 10, -2, -5],\n [-9, -4, -3, 7],\n [5, -4, 7, -2],\n [9, -6, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1728", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 6) of the product matrix AB given:\nA =\n[[10, 1, 1, 9],\n [8, -9, 0, 1],\n [8, -9, 1, 1],\n [4, -1, -8, -8]]\nB =\n[[1, -5, 9, -6, 9, -10],\n [-8, -7, 5, -9, 9, 1],\n [-5, -4, -3, -5, -5, -6],\n [2, 0, 7, 8, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, 2, 5, 4, -10],\n [-7, -9, -1, 2, 6, 6],\n [-10, -2, -10, -5, -5, 5],\n [3, -9, 6, 2, -9, 10],\n [8, 0, 4, -2, -7, 9],\n [-8, 4, -4, 8, 4, 10]]\nB =\n[[-7, 10, 5, -9],\n [8, -5, -2, 7],\n [4, -8, -5, 8],\n [9, 1, 9, -9],\n [5, -4, -9, 6],\n [5, 9, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1712", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -3, 7, 10],\n [-1, 1, 1, -3],\n [10, 8, 0, 10],\n [9, -9, -6, -10],\n [-5, -3, -2, -3],\n [-4, 8, -2, 9]]\nB =\n[[7, 0, 3, -8, 1, -1],\n [-7, 4, 7, -3, 9, -4],\n [9, 10, -9, -4, -1, -1],\n [4, 3, 4, -10, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 0, 8, -4, 7, -6],\n [-10, 7, -7, 0, 4, 0],\n [-1, 8, -9, -1, -8, -2],\n [-3, 5, 6, 9, -9, 3]]\nB =\n[[-4, 4, -1, 8],\n [-1, 7, 1, 4],\n [6, 3, -6, 4],\n [5, -3, -6, 1],\n [1, -4, 6, -1],\n [-1, -4, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "791", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-9, 10, 7, -1, -8],\n [3, 3, 0, -7, 8],\n [10, 2, 1, 9, 4],\n [-5, -10, -5, 2, -3],\n [2, -4, 9, -7, 2]]\nB =\n[[-7, 10, -4, 4, -9],\n [-5, 5, 10, -8, -1],\n [-9, 1, -7, 7, -5],\n [-3, -8, 7, 5, 2],\n [6, 0, -9, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -4, 2, 5, -10],\n [-7, 6, 2, 6, 1],\n [-5, -5, -4, 9, -3],\n [-7, 10, -4, 6, 4],\n [-2, -8, -6, 1, -6]]\nB =\n[[4, -7, -8, 2, 1, -6],\n [-5, 9, -10, -6, -7, 6],\n [5, 5, 3, 7, -5, -3],\n [5, -5, -4, 0, 9, 6],\n [-4, -1, -3, 2, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 6, 0, -2, -5, -9],\n [-2, 9, -5, 7, 8, -9],\n [6, -4, 9, -10, -4, -8],\n [-7, 6, -1, -9, -5, -7]]\nB =\n[[9, 7, -3, 1],\n [-10, 2, 3, 8],\n [2, 6, -1, -6],\n [-10, -8, 4, 8],\n [5, 2, -8, -1],\n [-8, -9, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, 1, 3, 7],\n [-3, 2, 0, -7],\n [2, 7, -10, 0],\n [8, -2, 2, -7],\n [-8, -8, 6, 6]]\nB =\n[[10, -9, 1, 10],\n [2, 2, 5, -7],\n [-9, 9, 5, 6],\n [-10, 2, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 6, -6, 6, -2],\n [-5, 8, 3, 9, -1],\n [2, -4, 9, 6, 7],\n [-8, 3, 1, 0, -5],\n [-7, 10, -9, -5, 1]]\nB =\n[[-10, 3, -3, -6],\n [3, 1, 7, -10],\n [10, 7, -9, 1],\n [-6, -3, 7, 2],\n [-9, -2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "437", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -5, -5, -3],\n [-10, 0, 0, -8],\n [10, 6, 9, 6],\n [-2, -6, 10, -7],\n [6, 7, 0, -8],\n [7, 1, 10, -8]]\nB =\n[[1, 10, 5, 10, -5],\n [-3, 10, -7, -10, -10],\n [-8, 0, -2, 6, 8],\n [10, 4, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[10, 7, 3, -3],\n [9, 10, 5, -3],\n [-7, 5, 6, 8],\n [-7, 6, 3, 10]]\nB =\n[[-6, 3, 5, 7, 2, -10],\n [5, 7, -10, 9, -8, -8],\n [-3, -3, -8, -1, 9, 2],\n [-4, -8, 6, 7, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -7, 8, 8, 8],\n [-1, 8, 8, 7, 9],\n [2, -5, 2, -5, 6],\n [-4, -10, -3, -6, -2],\n [-5, -2, 4, 6, -1]]\nB =\n[[-7, -6, 9, 6],\n [6, -5, -1, 6],\n [-5, 6, -9, -8],\n [-7, 2, 4, -10],\n [3, -4, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -8, 0, 10, -6, -3],\n [-2, -10, 9, 3, 2, 5],\n [8, 4, -5, -3, -4, -5],\n [1, -1, -5, -4, 7, -8]]\nB =\n[[4, 8, -9, -8, 8, 1],\n [0, 8, 0, -9, 7, -1],\n [-2, -8, -1, 6, 8, -6],\n [-1, 2, 0, 5, -10, -5],\n [7, -10, 3, -2, 3, -3],\n [-3, -7, -8, -6, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -4, 9, -1],\n [4, 8, -1, 7],\n [-5, -6, 3, -3],\n [2, -5, 8, 8],\n [2, -10, 4, 3]]\nB =\n[[-9, 8, 9, -6, 10, -6],\n [-4, 5, -9, 10, -4, -8],\n [-3, 5, -5, -2, -1, 2],\n [-10, 9, -4, -6, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -9, 3, -10, -4],\n [9, 1, 5, 4, 4, -5],\n [9, -10, 7, 9, -1, 5],\n [9, 9, -8, 9, 10, 3],\n [0, 6, -2, 8, -6, -8]]\nB =\n[[2, 0, 8, 5, -6, 10],\n [-4, -9, 2, 9, 0, -1],\n [-5, -4, -6, -7, -7, -4],\n [-6, 5, -1, 5, 9, 6],\n [1, 9, 0, -8, 5, 4],\n [6, -6, 1, 10, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1097", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -9, -5, -1, 5, -2],\n [2, 3, 6, -7, -2, -7],\n [10, 6, 7, -6, 5, 9],\n [0, -6, 7, 5, 10, -2]]\nB =\n[[-10, 7, 0, -6],\n [-7, -5, 9, 3],\n [-8, 1, 0, -3],\n [-2, -10, -1, -4],\n [-2, -2, 0, -2],\n [7, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -6, 3, -8],\n [-10, 0, 9, -8],\n [5, -9, -8, -6],\n [-7, -4, -6, 8]]\nB =\n[[-6, 1, 5, 1, 10, 10],\n [-3, 5, -10, 1, -3, 3],\n [-5, 2, 3, -1, -2, -2],\n [-1, 9, -5, 10, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 4, 5, -5, -3, 3],\n [-1, -10, 6, -1, -5, 10],\n [-10, 1, -3, -3, -7, 5],\n [2, -3, -8, -3, 0, -9]]\nB =\n[[1, 9, -10, -8, 10, -7],\n [-9, 1, 3, -8, 4, -10],\n [-8, 5, -2, 6, -7, -9],\n [4, 2, -10, 1, 10, -8],\n [-10, 0, 6, 9, 3, 0],\n [6, -4, 2, -5, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 9, -3, -6, 4, -8],\n [8, -7, -3, -7, 4, 1],\n [4, -8, -2, 10, -2, -1],\n [-5, -4, 6, -9, -5, -6],\n [-8, 8, 5, 5, 6, 0]]\nB =\n[[-9, -10, -3, 4, 0],\n [5, -4, 2, -6, 7],\n [-6, 3, 10, 0, -5],\n [0, -9, 10, -5, 2],\n [-7, -5, 1, -9, 7],\n [3, 6, -3, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-7, -2, -9, 0, -2, 8],\n [1, -1, 7, -2, 0, -4],\n [3, -1, -3, 1, 3, 4],\n [9, -3, 4, 3, 6, -8],\n [10, -9, 2, 2, -9, 10],\n [6, 7, -8, -2, -4, -7]]\nB =\n[[-2, -10, -5, -4, 8],\n [-9, -8, 10, 3, 1],\n [-1, 8, 6, -8, 10],\n [-8, -5, 4, 3, 6],\n [-10, 3, -7, -10, 3],\n [9, -10, 7, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 9, 8, 7, -9, -7],\n [-9, 6, 2, 7, 8, 4],\n [2, -8, -1, -6, 8, 8],\n [-9, 9, -1, 9, -9, 9],\n [6, 4, 4, 5, -10, -8]]\nB =\n[[2, -3, -3, 6, 8],\n [2, -5, -7, -3, 4],\n [10, -7, 6, 6, 5],\n [2, -7, 3, 4, 6],\n [-2, 1, -2, 3, -8],\n [-4, 0, 6, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[7, 7, -4, 0],\n [-9, -1, -2, 6],\n [6, 3, 3, -7],\n [-8, -6, 4, 3],\n [-9, -2, 9, -6],\n [-9, -10, 2, -7]]\nB =\n[[-10, -10, -1, -8, 9, -3],\n [8, -4, 2, -7, -5, 5],\n [9, 9, 2, 2, 8, -10],\n [3, 4, -8, -4, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-3, 1, -7, 2],\n [-6, 8, 1, -8],\n [-7, -6, 8, 3],\n [-5, -2, -8, 3],\n [10, -2, -7, 7]]\nB =\n[[6, 9, -2, -1],\n [7, 9, -9, 10],\n [2, -10, 4, -1],\n [-4, 2, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -4, -6, -5],\n [-9, -6, -2, -10],\n [-2, -2, 8, 9],\n [9, 3, 4, 8],\n [-5, -2, -1, -8],\n [2, -1, -9, -5]]\nB =\n[[3, -7, -1, 5, -3, -10],\n [-9, 2, 8, 1, -1, -7],\n [10, -9, 1, -7, -1, -1],\n [-4, 3, -2, -2, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[0, 3, 4, -5, 9, -5],\n [-10, 2, -6, -4, 8, 8],\n [6, 7, -5, -3, -7, -3],\n [-2, -9, -4, 8, -3, -8]]\nB =\n[[5, -3, 5, 5, 8],\n [-4, -9, 8, 6, -9],\n [-9, -5, -2, 7, -9],\n [-6, 9, -2, 9, -7],\n [-1, -9, 7, -1, -9],\n [-1, 3, 8, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 8, -10, 4, 6],\n [9, -10, -4, -7, 2],\n [4, 0, 5, 6, 0],\n [-6, 7, -3, -9, 6],\n [6, 3, -5, 6, -7],\n [6, 1, -10, 2, 7]]\nB =\n[[6, 9, 2, 9, 4, -7],\n [-7, 9, 1, -10, -6, -3],\n [6, 7, -8, -7, -5, 0],\n [2, -4, -8, 1, 6, 8],\n [-4, 9, -8, -5, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 1, 5, 2, 9, -9],\n [-2, -4, -7, 1, -5, -8],\n [-9, -7, 10, -3, 0, 4],\n [10, 2, 5, 3, 6, -10],\n [-8, 7, 1, 6, 1, -3]]\nB =\n[[9, 7, -4, 3, 2, 1],\n [10, 8, 3, -6, -2, -2],\n [-9, -9, 6, -4, 6, 2],\n [10, -6, 2, -9, -6, 1],\n [-4, -1, 5, -3, 8, -2],\n [-5, 9, 5, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2076", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 8, -7, -3, 1],\n [4, -8, 2, -10, -9],\n [-3, 9, 7, 6, -4],\n [-3, 10, -3, -7, -7],\n [3, -3, 3, -10, 2]]\nB =\n[[5, 8, -9, 1, -4, -10],\n [-4, -5, -8, -6, 7, 4],\n [-7, -1, 5, -5, 10, 0],\n [-6, 1, -10, 10, -6, -10],\n [-5, -9, 5, -1, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -5, -2, 7],\n [-9, -1, 9, -7],\n [-9, 2, 3, 5],\n [-5, 4, -1, 5],\n [6, -9, -2, 5],\n [-10, -3, 5, 6]]\nB =\n[[-8, 0, -9, -5, 7, -2],\n [9, 8, -5, -8, 6, -4],\n [6, -5, 6, 6, 6, 6],\n [4, -1, 6, -5, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -2, 1, 7, 8, -5],\n [-2, 7, 9, 2, 1, -6],\n [-8, -2, -4, -10, -2, -7],\n [9, 3, 5, 9, 3, 5]]\nB =\n[[10, 4, -7, -6, -3, 0],\n [10, 5, -5, 5, -7, 6],\n [-6, -8, -9, 0, -6, -6],\n [6, 5, 2, 4, 6, -8],\n [-10, 6, -6, -4, 7, 7],\n [-6, -7, 6, 10, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[3, 6, -4, 7],\n [0, -8, 3, -7],\n [5, -3, -9, -6],\n [0, 6, 2, 10],\n [1, 7, -6, 2]]\nB =\n[[-10, -7, 10, 3, 10],\n [-2, -2, -7, -9, 10],\n [-2, -7, -7, -7, 3],\n [-6, 8, 1, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 0, -6, 3, 10, 9],\n [3, 1, 7, 2, 2, 9],\n [-1, -6, 6, 3, -2, -6],\n [1, -7, -8, 9, 0, -4],\n [6, 0, 8, 2, 1, 8]]\nB =\n[[3, 5, 2, -9, -10],\n [2, -7, -10, 5, -6],\n [-2, 8, -3, 4, 0],\n [-8, 7, -10, -1, 3],\n [-10, 8, 2, -10, -4],\n [8, -7, 7, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -6, 7, -9],\n [-7, -8, -9, 2],\n [-4, 1, -2, -9],\n [1, 4, -2, 0]]\nB =\n[[8, 8, -5, -5, 8, -9],\n [-2, -4, 8, 3, -4, -10],\n [7, 5, 1, 3, -6, -9],\n [-9, 0, 9, 1, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 7, -5, 6],\n [-6, 9, -9, 6],\n [2, -4, -3, -3],\n [-5, 10, 6, -3],\n [-10, 5, -10, 10]]\nB =\n[[-4, -10, -8, 9, 0, 2],\n [-5, -8, -5, 6, -4, -10],\n [-2, -4, -3, 4, 5, 7],\n [10, 0, -9, 7, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-680", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, -7, -3, -7, -8],\n [-4, -7, 7, 6, -5, 3],\n [-2, 8, -4, 0, 1, 2],\n [-3, 3, 4, -1, -10, -4],\n [-8, 6, -2, 3, 5, 7]]\nB =\n[[0, -3, -7, -9],\n [8, 1, 0, 1],\n [-3, 7, 10, -10],\n [0, -3, -7, -5],\n [5, -7, 5, -5],\n [-2, -10, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -1, 9, -2, -5, 1],\n [-1, 3, -8, 8, -2, -8],\n [0, -7, 10, 5, 4, 0],\n [10, 3, 8, 5, 2, 1],\n [10, -3, 4, -4, -2, -8]]\nB =\n[[6, 8, 6, -5],\n [-8, 7, -7, 1],\n [-3, -10, -2, -2],\n [-1, 4, -5, -5],\n [-5, 10, -4, 9],\n [6, 1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -10, 1, 5],\n [2, 4, -7, 5, -8],\n [5, 8, 8, 4, 3],\n [-10, 6, 8, 6, 0],\n [-6, 7, 3, 9, -9],\n [4, -10, -4, 3, 2]]\nB =\n[[-1, -9, -4, -5],\n [-2, -9, 6, 9],\n [7, 5, 7, -6],\n [10, -10, 10, 1],\n [-10, 2, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2022", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -8, -9, -7, 5, 2],\n [4, -5, 5, 5, 8, 6],\n [10, -2, -4, 10, -10, 7],\n [-1, -6, 1, -5, -8, 1]]\nB =\n[[-3, 2, -4, 3, 5, 9],\n [-2, 0, 7, 2, -5, -8],\n [-9, -6, 4, 10, -4, -1],\n [8, -10, -8, 4, -2, -4],\n [-2, 3, -2, -9, 8, 1],\n [-6, 6, -8, -1, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 1, 10, 8, 3, 10],\n [-5, -6, 4, 5, 8, -5],\n [-4, -4, -7, 8, 2, 9],\n [-2, 1, 7, -7, -9, 5],\n [7, 7, 10, 0, -2, -7],\n [-2, 4, -6, 6, 9, 2]]\nB =\n[[-4, 10, 9, 8],\n [6, 0, -8, -3],\n [-8, -10, 6, 8],\n [-6, 1, 6, 3],\n [-9, 1, 0, 1],\n [3, 10, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1538", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 7, 1, 10],\n [-4, -3, -3, -7],\n [-2, -5, -6, -10],\n [1, -7, -2, 6],\n [6, 8, -10, 5],\n [-5, 10, -3, 9]]\nB =\n[[4, -4, -9, 0, -6, -5],\n [3, 9, -5, -1, 10, -1],\n [-4, 5, 9, -10, 0, -5],\n [-9, 6, -7, 6, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2975", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[9, -5, -8, -4, 1, -10],\n [7, -7, -8, 9, 10, -4],\n [-6, 6, 0, -4, -1, -1],\n [-7, -4, -10, 2, -10, -1],\n [-7, 4, 5, 7, -8, -5]]\nB =\n[[-8, 6, -2, -3, -3],\n [5, 7, 0, -10, -7],\n [3, 1, 2, -2, -10],\n [6, 8, 2, 4, 0],\n [-2, 6, 10, 5, -2],\n [-1, 5, -6, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, -5, 0, 4],\n [-7, -4, -7, -3, -3],\n [1, -8, -1, -10, 5],\n [5, 2, 8, 9, -7]]\nB =\n[[-7, -7, 10, -1],\n [-8, 7, 0, -8],\n [6, 3, 7, 8],\n [1, -4, 10, 2],\n [0, -5, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "894", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -2, 10, 6],\n [-8, -2, -9, 4],\n [-10, 4, -8, 0],\n [-6, 7, 4, 2],\n [3, 2, -8, 4]]\nB =\n[[7, 8, -4, -2],\n [-6, 2, 2, -5],\n [7, -3, 1, 4],\n [0, 1, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1013", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -6, 10, 9, 5, -1],\n [-2, 5, -7, 9, 10, 10],\n [-8, -2, 2, -9, 10, 3],\n [10, 4, 10, 8, -9, 8],\n [-9, -1, 7, -8, -2, -10]]\nB =\n[[-4, -10, 6, -10, -2],\n [8, 7, 6, -3, -1],\n [2, 6, -8, 1, 6],\n [-8, -9, 6, 1, -3],\n [3, -3, 10, 3, 5],\n [-10, 3, -10, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, 1, 2, -8],\n [10, 4, 0, 3, -5],\n [-1, 4, 7, 1, -8],\n [-6, -10, -4, -1, 10]]\nB =\n[[-1, 4, 0, -7],\n [2, 5, 0, -10],\n [-6, -4, -9, 3],\n [-8, 6, 6, 3],\n [-10, -5, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 10, -3, -9, 1],\n [9, -10, -2, -6, 10],\n [1, 5, -10, 0, -9],\n [-7, -2, -4, -7, -5],\n [3, 8, 1, -9, -9],\n [0, 0, 1, -9, 3]]\nB =\n[[-8, 7, 9, -4, 2],\n [-2, 6, -8, -8, 9],\n [-5, 5, -3, -1, 5],\n [8, -6, 7, 5, -2],\n [2, -10, 8, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -10, 3, 1, 3],\n [9, -10, -6, 0, -6],\n [-5, 2, -7, -2, -1],\n [-6, -2, 7, -9, -8]]\nB =\n[[6, -7, 9, 4, 4],\n [6, 8, 9, 6, 3],\n [4, 5, 2, 4, 3],\n [3, 8, -2, -10, -10],\n [-3, 0, 5, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -2, 9, -5, -10],\n [7, -8, -6, -8, -4],\n [5, -8, -10, -9, -5],\n [6, -6, 6, 7, 0]]\nB =\n[[-5, 4, 10, 9, -2, 3],\n [-1, -6, -10, -10, -8, 2],\n [6, -1, -3, 10, 4, -7],\n [-4, -10, 5, 6, -9, 3],\n [5, -8, -7, -10, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1735", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -5, 5, 2],\n [9, 8, 4, -1],\n [-4, 0, 4, -4],\n [6, -5, 1, -7],\n [6, 0, 4, -4]]\nB =\n[[-10, -2, -2, -10, -7, 2],\n [-9, -1, -4, -6, -9, 2],\n [5, 4, 1, -1, 9, 9],\n [2, 2, -1, -5, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 3, 3, 6],\n [8, 2, -6, 8],\n [9, -5, -8, -10],\n [-6, -7, -9, 1],\n [-10, 0, -7, -9],\n [-7, 1, -1, -1]]\nB =\n[[0, 7, 3, -9, -3],\n [8, 3, -9, -3, 6],\n [-1, -3, 9, -3, -5],\n [10, -1, 10, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -9, -2],\n [-6, -4, 8, -5],\n [-10, -1, -6, 8],\n [-5, 2, -6, 5]]\nB =\n[[0, 8, 1, 5, 10, 7],\n [9, 9, 8, -6, 1, -3],\n [10, 2, -3, -6, -7, 9],\n [-5, -8, -8, 8, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-812", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, 10, -4, 0, 2],\n [-8, 4, -7, -3, -9, -8],\n [-3, 8, 6, -2, -5, 4],\n [-2, 2, -2, -2, 5, -9],\n [8, -5, 4, -2, -2, -1]]\nB =\n[[7, -2, 2, 0],\n [3, 7, 8, -6],\n [0, 5, -3, -7],\n [7, -10, 3, 5],\n [8, 9, 7, 6],\n [7, -5, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 2, 8, 6, 7],\n [-10, -3, -1, 6, 5],\n [-4, 9, 9, -6, -6],\n [-9, -4, 7, 2, 7]]\nB =\n[[3, -4, -4, -7],\n [-1, 4, -3, -2],\n [6, 1, -1, -5],\n [6, 3, -8, 9],\n [-7, -3, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-4, 10, 10, 4, -6, 4],\n [-4, 6, -6, -1, -10, -3],\n [-10, 1, -10, -1, 0, -8],\n [6, -3, 7, 5, 3, 1]]\nB =\n[[10, 8, 6, -7],\n [4, 7, 4, 2],\n [-7, 7, -9, -2],\n [-6, 0, 0, -3],\n [6, -3, -1, -2],\n [-6, 1, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 2, 5, 1, 1, -9],\n [3, 0, 10, -5, -7, -3],\n [3, -4, 4, -1, -7, 1],\n [-10, -9, -3, -10, 10, 10]]\nB =\n[[10, 10, 2, 10],\n [5, 3, -6, 0],\n [6, -4, 5, -4],\n [-2, -2, 3, -3],\n [-1, -8, 1, 8],\n [-2, 10, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 7, 0, -9, -6],\n [-10, 4, 8, -10, 2, -2],\n [-2, -3, -7, 7, -10, 5],\n [10, -4, 8, -9, 10, 5],\n [3, 2, 4, -9, -1, 4],\n [-7, -5, -3, 5, 10, -10]]\nB =\n[[-10, 2, 9, 2],\n [-1, 6, -8, -5],\n [-8, 1, -7, -4],\n [-3, 10, 10, -7],\n [2, -4, -7, 10],\n [-5, -1, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, 4, -2, 0, -3],\n [-2, 3, 0, -5, 10],\n [-2, -8, 3, 0, 4],\n [-3, 7, -8, -6, 10],\n [5, 7, 4, 2, -8],\n [-8, -9, -9, 5, 2]]\nB =\n[[6, 8, 9, -9, -9, -5],\n [-9, -2, -2, 7, 6, 7],\n [6, -3, -10, 1, -4, 2],\n [-8, -6, -9, 10, 4, 4],\n [-9, 2, 2, -5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -2, -10, 7, 7, -7],\n [-2, 5, -10, -2, -1, 3],\n [-2, -2, 9, 9, -5, 8],\n [-5, 9, 5, 1, -6, 0],\n [-7, -3, -3, 6, -9, 4]]\nB =\n[[-1, 0, -6, -6, 8, -1],\n [-9, 4, 10, 6, 8, -5],\n [3, -5, -3, 4, -2, 4],\n [-4, 2, -10, -1, 5, -6],\n [-3, 4, -10, -9, 5, 1],\n [9, -5, -7, -9, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1757", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[4, -8, 1, -1, 7, 8],\n [-10, -10, 3, 10, 1, 10],\n [7, -7, 3, 9, -8, 1],\n [5, 3, 3, 3, -6, -6],\n [-2, 5, 5, -4, 3, 1]]\nB =\n[[-9, -8, 2, 7, 3],\n [-7, 5, -6, 1, 1],\n [6, -4, 7, -8, -3],\n [3, -9, 6, -4, -2],\n [6, 10, 6, -7, -9],\n [5, 10, 10, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, 8, 8, 7],\n [3, -10, 7, 5, -5],\n [-4, 3, -7, 10, -5],\n [0, 9, 2, -10, 2],\n [-3, 3, -9, 5, 9]]\nB =\n[[2, -1, 2, -8, 2],\n [-9, 0, 5, -4, -1],\n [-1, 0, 7, -10, 10],\n [5, 5, 5, -9, 5],\n [0, -5, -2, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -8, -10, 1, -5, -9],\n [3, 5, 9, -3, -3, 5],\n [-5, -9, 5, 9, -6, 7],\n [2, 3, -5, 6, 6, 7],\n [-2, 0, 1, -7, -1, 4],\n [-4, 3, 1, 2, -6, -1]]\nB =\n[[-4, 7, 8, 2, -4],\n [4, 0, -1, -10, 3],\n [2, -7, -7, 4, 1],\n [0, 6, 8, -9, 6],\n [9, 4, 7, -3, -7],\n [-10, -10, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -5, -9, -7],\n [8, 10, 5, -4],\n [2, 0, 0, -7],\n [-9, -9, 2, 3],\n [-3, 7, -1, 5],\n [-1, -4, 8, 7]]\nB =\n[[7, 0, 1, -10],\n [2, 0, -8, 5],\n [-6, -10, -7, -8],\n [-5, -3, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-5, 4, 10, 2],\n [7, -4, 6, 6],\n [-7, 1, 2, -3],\n [-3, -10, 4, -9],\n [-5, -8, 0, 2],\n [-5, 5, -5, -7]]\nB =\n[[-5, -10, -7, -7, -3, -7],\n [-1, 9, 0, 8, 0, -9],\n [-7, 0, 3, -4, 3, 5],\n [0, -5, 10, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 1, 10, -7, -5, -2],\n [-7, -4, 4, 8, -10, 4],\n [-7, -10, 6, 3, 9, -3],\n [-4, 5, -3, 4, -3, -6]]\nB =\n[[8, 10, -8, -7],\n [-5, -4, 7, 0],\n [-5, 3, -4, 9],\n [10, 5, 0, -1],\n [9, 4, -8, -5],\n [8, 3, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -7, 0, -1],\n [-4, -5, 0, -6],\n [1, 4, -10, 5],\n [9, 5, -4, 6],\n [6, 10, -8, -4],\n [10, -4, 6, -10]]\nB =\n[[0, 8, -6, 2, 6, -6],\n [9, 6, 0, -4, 9, 0],\n [-10, -8, 5, -6, -1, -5],\n [-10, -4, 10, 0, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "678", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[2, 6, 6, -1, 9],\n [8, -9, -9, -3, -2],\n [-3, 1, 6, -10, -1],\n [9, 0, 9, 10, 7],\n [-8, 7, 9, 3, -4],\n [4, 2, 5, 0, 2]]\nB =\n[[6, -9, -5, -1],\n [-10, -4, -10, 6],\n [1, 10, 6, 2],\n [7, -6, 10, -7],\n [-8, -10, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-6, 9, 6, 4],\n [9, -5, 2, -4],\n [-6, 7, -5, -9],\n [-5, -9, -6, 1],\n [-5, -8, 9, 9],\n [9, 3, 1, -10]]\nB =\n[[4, -6, 1, 0, -5, 2],\n [5, -5, -5, 5, -3, -5],\n [-4, -7, 6, -2, 0, -9],\n [4, 0, 8, -1, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[5, 5, 3, -1],\n [-3, 7, 10, 1],\n [-4, -1, 0, -1],\n [-8, 9, 3, 9]]\nB =\n[[-4, 0, -4, 2],\n [-5, -10, 4, -5],\n [6, 2, 0, 1],\n [6, 3, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -7, -5, -1, 3, -5],\n [6, 3, 3, 3, 0, 0],\n [-5, 0, -10, 6, 4, -3],\n [-9, -4, 3, 1, -6, -7],\n [-6, 4, -1, -4, -5, 6]]\nB =\n[[8, 8, -8, 4, 9, -8],\n [-9, 8, -1, -3, 2, 5],\n [-8, -3, -10, -1, 3, -5],\n [4, 0, 0, 3, -8, 3],\n [8, 9, 7, 7, -6, 9],\n [-1, 0, 8, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -8, -6, 2, -6],\n [7, -7, 1, 3, 4],\n [-3, 0, -6, -1, 8],\n [-5, 10, 4, -8, 6],\n [4, 5, 7, 8, -3]]\nB =\n[[1, 1, -1, -1, -1],\n [-2, -3, 9, 7, 7],\n [4, -7, -4, -3, 1],\n [5, 10, -10, -10, 9],\n [6, -10, -7, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-9, 6, -8, -7],\n [-5, -10, 0, 1],\n [9, -1, 8, -5],\n [1, 7, -5, 1]]\nB =\n[[-10, 6, 8, 4, 0],\n [8, 9, -9, -1, -1],\n [4, -4, -3, 9, 1],\n [-1, 4, -10, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-6, 10, 1, 5, 1, 9],\n [-2, 1, 0, -7, 4, 3],\n [10, 3, 0, -8, -1, -9],\n [5, -4, 9, -8, 0, -5]]\nB =\n[[-5, 2, -10, 5, 3],\n [-7, -3, -6, 5, 5],\n [-1, -7, 5, 0, 0],\n [-2, 1, 5, 10, -7],\n [10, 9, 8, 5, -4],\n [4, -9, -5, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 6, -7, -1, 6],\n [5, 2, -6, 0, 2],\n [-3, -10, 6, -2, -7],\n [8, -7, 0, -7, -1]]\nB =\n[[4, -4, 3, -6],\n [6, -7, -4, 7],\n [-1, -3, -5, -8],\n [-6, -1, 1, 8],\n [9, 9, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "813", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -10, -8, -8],\n [2, 3, 10, -10],\n [5, 0, 6, 6],\n [3, -2, -9, -2],\n [8, -3, -9, 9]]\nB =\n[[-2, 6, -6, 7, 7, 6],\n [1, 10, -4, 2, 2, 0],\n [9, -3, 8, -8, -9, 6],\n [-5, -1, -7, -7, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -2, -1, 4, 0, 5],\n [-8, -7, 5, -1, 7, 2],\n [3, 9, 2, -5, -7, 6],\n [0, 8, 8, 0, -7, -1],\n [0, 9, -10, -10, 9, -1],\n [-3, -7, 6, -2, 2, -7]]\nB =\n[[5, 5, 0, 6, 0, 1],\n [-6, 3, 8, -4, 6, -5],\n [4, -10, 8, -5, 7, -1],\n [8, -8, 4, -10, 7, -9],\n [-1, -1, 4, 9, -1, 8],\n [4, 10, -5, 9, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[10, 10, -6, -6],\n [7, 7, -4, 6],\n [-6, -1, 10, 4],\n [-9, 5, -8, -7]]\nB =\n[[-9, -1, -2, 8, -6, -3],\n [2, 10, -10, 10, -8, 0],\n [-10, -9, 2, 2, -3, 9],\n [2, 4, 8, 1, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 5, 10, -7, -2, 9],\n [7, 8, -5, -8, 2, 1],\n [2, 0, 10, -7, -4, -1],\n [7, -1, 7, 6, -6, 10],\n [3, -9, 9, -3, -2, 7],\n [6, 6, -3, -2, 0, 10]]\nB =\n[[7, -3, -2, -8, 3],\n [-2, 4, -4, 1, 6],\n [1, -2, 3, -2, 7],\n [8, 3, -10, -7, 8],\n [-1, -10, -2, 4, 1],\n [-5, -8, 7, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 3, 3, 5, 0],\n [-6, -7, -5, 3, 2],\n [8, 7, 3, 1, -2],\n [9, -4, -8, -1, -7]]\nB =\n[[2, 4, 0, -1, -5],\n [2, 7, 5, 7, -5],\n [-10, -9, -10, -2, -7],\n [2, 1, 9, 10, 0],\n [7, 1, 4, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 7, 6, 10],\n [8, 1, 4, -9],\n [-9, 6, -6, 3],\n [-7, 7, 5, 9],\n [6, 5, 3, 2]]\nB =\n[[1, 6, -2, 6, -3, -6],\n [8, 3, 2, -2, 1, 3],\n [-10, -5, 2, 2, -10, -10],\n [-1, -4, -4, 10, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -7, 3, -2],\n [-8, -10, -3, 8],\n [-1, -6, 8, 6],\n [1, -8, 2, -6]]\nB =\n[[1, -10, -7, -5, -5],\n [9, -8, -9, -5, -1],\n [7, 0, -10, 2, -9],\n [-1, 5, 3, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1506", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 9, 5, -9, 1],\n [6, -1, 2, -3, 2],\n [2, 4, 4, -4, 9],\n [-8, 2, -5, 9, 4],\n [-7, 8, 9, 4, 2]]\nB =\n[[-4, -2, 2, 4, 8, 7],\n [-10, 0, -6, -3, -7, 6],\n [2, -9, 4, 8, -10, -10],\n [-3, 3, -5, 10, 0, 3],\n [-4, 9, -10, 10, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-428", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, -3, 10],\n [3, -2, 9, -10],\n [-3, 1, 10, -1],\n [-7, -9, 3, 6],\n [-6, -6, -10, -8],\n [5, -6, 6, -1]]\nB =\n[[0, 1, -8, 4],\n [-10, 2, -1, -8],\n [-2, 5, 4, -1],\n [-3, 5, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[7, 8, -5, 9],\n [3, 10, 10, -3],\n [7, -9, -3, 3],\n [-5, -9, -6, -7]]\nB =\n[[4, 3, -5, 1],\n [-6, 3, 7, 0],\n [5, -5, -10, 0],\n [0, 3, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 10, -2, -2, 6, 4],\n [-5, 7, 1, 5, -1, -2],\n [-8, 3, -4, -2, 0, 0],\n [-2, -5, 5, -2, -8, 2]]\nB =\n[[8, 6, -8, -4],\n [-5, 3, 4, -5],\n [9, 3, -9, 6],\n [-1, -2, -2, -8],\n [-3, 7, 1, 1],\n [10, -6, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -6, -9, -8, 2],\n [10, -2, -10, -6, 5],\n [8, -8, -9, 5, 3],\n [-10, 7, -2, 5, -6]]\nB =\n[[-1, 6, 5, 10],\n [0, 5, 6, 0],\n [2, -10, -5, 3],\n [-3, -3, 0, 1],\n [-8, 3, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 9, 6, -3],\n [9, 7, -6, -2],\n [7, 4, 7, -1],\n [1, 2, -10, -10],\n [-5, 3, -10, 4]]\nB =\n[[-3, -9, 0, 1, 2],\n [6, 10, -1, -3, 8],\n [-1, -2, 7, -7, 3],\n [9, -9, -5, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -6, 9, -4],\n [6, -6, -3, 2],\n [5, -7, 3, -9],\n [-1, -10, 4, -10]]\nB =\n[[3, 2, 5, 5, -1],\n [2, 2, -3, -9, 3],\n [-9, 6, -2, 9, 6],\n [-3, -8, 10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -3, 4, 9, -4],\n [2, 0, -9, 4, -7],\n [1, -7, 6, -1, 4],\n [-10, -4, -2, -7, 1],\n [-5, 9, 7, 8, -1],\n [10, -8, -4, 9, 4]]\nB =\n[[6, 8, 1, 0, -9, 5],\n [6, -2, 4, 6, -6, 6],\n [-7, 10, -4, -1, -4, 6],\n [3, 10, -10, 0, -10, -4],\n [-10, -10, -6, 8, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-483", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[4, -6, 2, 9, -8, 0],\n [2, -8, 0, -4, 5, -10],\n [9, 1, -10, 8, 8, -9],\n [10, -10, 10, -7, 4, -8],\n [-3, -5, -9, 3, -9, -3],\n [-10, 3, -3, 3, 6, 5]]\nB =\n[[3, 5, -4, 3, -5],\n [3, -1, -6, -5, -5],\n [6, -2, 10, -4, -7],\n [-3, -7, -9, -2, -5],\n [4, -4, -10, -7, -9],\n [1, 0, 9, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 7, 8, -9, 0],\n [5, 6, -9, 9, -6],\n [-2, -6, 0, 1, -6],\n [-4, -5, -4, -4, 0],\n [-1, -9, -7, 2, 1],\n [3, 2, -6, 1, 5]]\nB =\n[[4, 1, 3, 7],\n [8, 4, -2, -2],\n [0, 8, 7, -2],\n [6, -4, 1, 1],\n [5, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, -6, 1, -2, -5],\n [9, 5, 9, 7, -8],\n [5, 6, -1, 4, -6],\n [4, -5, 8, 4, -9],\n [-7, -4, 2, 0, 2],\n [3, -10, 5, 10, -10]]\nB =\n[[10, -6, 6, -5, -4, 6],\n [9, 9, -10, -2, -6, -9],\n [-7, 9, -8, -4, 10, 5],\n [-3, 2, -5, -6, -8, -4],\n [0, 2, -6, -3, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 6, -1, 10, -9, 0],\n [6, -7, -8, 8, 0, 3],\n [-10, -1, -7, -8, 10, 10],\n [7, 10, -8, -7, 6, 0]]\nB =\n[[10, 2, -9, 0, 9],\n [-5, -8, 7, -6, 10],\n [7, 2, -1, 4, 6],\n [8, 3, 2, -7, -10],\n [-7, 7, 8, 0, 10],\n [1, -6, 3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-8, 0, 9, 8, -5, 3],\n [10, -5, -4, -4, 9, -9],\n [2, 3, -9, 6, 2, -3],\n [1, -5, 2, -7, -9, -1]]\nB =\n[[5, -10, -8, -9],\n [8, 4, 1, 5],\n [10, 2, -10, -8],\n [-2, 6, 8, -2],\n [-10, 8, 6, 8],\n [8, 2, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -10, -4, 0, 3, -2],\n [5, 5, 7, 3, -7, 4],\n [8, -9, 6, 1, -9, -7],\n [-2, 10, -4, 10, 9, -3],\n [4, 6, -10, 4, 9, -2]]\nB =\n[[-9, 9, 2, 5],\n [1, 1, -7, -5],\n [-6, 0, -2, -6],\n [2, 9, -2, 8],\n [0, 10, 5, -9],\n [-6, -8, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -9, 7, -5, 4, 9],\n [10, -1, 3, -7, 1, -2],\n [-7, 10, -4, 10, -6, -3],\n [7, -8, -9, 9, 10, -4],\n [-5, -7, 4, 6, -6, 10]]\nB =\n[[4, 4, -6, 8],\n [-1, 7, 8, 3],\n [-5, 4, 10, -10],\n [-7, -2, 4, 1],\n [6, -5, 10, 10],\n [-7, 7, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -3, -1, -10, 10, 6],\n [-4, -7, 9, 3, 0, 3],\n [-10, -8, -7, -3, -1, 5],\n [-8, 5, 0, 7, 1, 8],\n [-8, 2, -7, -1, -1, 10]]\nB =\n[[-8, -2, -6, -2],\n [-2, 4, -2, 9],\n [0, 6, -5, -6],\n [3, 4, -3, -5],\n [3, -7, -2, 9],\n [7, 2, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 10, -8, -2, 5, 8],\n [-10, -8, -5, 7, 10, 10],\n [7, -3, -9, 9, 5, 2],\n [-1, -7, 3, -8, 6, -1],\n [2, 10, -1, -8, -8, -2],\n [-3, 7, 2, 1, 10, 8]]\nB =\n[[-7, -4, 0, 6, -10, -7],\n [-5, 1, 3, -1, -7, -3],\n [8, -1, -2, 5, -5, 3],\n [-10, -4, 8, -2, 2, -9],\n [-10, -2, -8, -5, -6, -7],\n [-1, 1, -4, 5, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2837", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-7, -9, -6, 3, 0, 5],\n [2, 1, 0, 5, 7, -1],\n [10, -8, 6, 0, -2, 2],\n [-2, -1, -6, -3, -3, -3]]\nB =\n[[-9, 7, 9, -1],\n [-10, -6, -6, 10],\n [-7, 5, -4, 0],\n [7, 2, -7, 1],\n [5, -1, 7, -6],\n [-4, -2, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-2, 6, -9, -10],\n [6, 4, 2, 9],\n [-1, -9, 0, 9],\n [6, 10, 5, -5]]\nB =\n[[5, -1, -4, -5],\n [-1, 0, 1, 8],\n [8, -7, 10, -1],\n [-2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -10, 0, 10],\n [7, 1, -6, -4],\n [-6, 3, 10, -8],\n [2, 7, -8, 2]]\nB =\n[[-6, -2, 8, -6, -4, -5],\n [0, 2, -8, -8, -8, 0],\n [4, -6, -6, -7, -5, 8],\n [2, -1, 3, -9, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -9, 3, -3],\n [-9, 0, -6, -8],\n [10, -6, 7, 0],\n [-10, 5, 10, 10]]\nB =\n[[2, 9, -1, -4],\n [5, 6, -7, 5],\n [1, -4, -10, -8],\n [1, -7, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "818", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-1, 5, -8, 4, -7, 3],\n [-8, 5, 0, 7, 3, -2],\n [-2, 4, -10, 1, -1, -5],\n [-10, 8, -4, -3, -6, -2]]\nB =\n[[2, 0, 7, -6],\n [1, 8, 10, -6],\n [-8, -2, 5, -9],\n [3, -9, 2, 5],\n [3, -2, -3, -4],\n [6, -7, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 7, 10, -2],\n [-9, 1, -1, -9],\n [-2, -9, 10, 3],\n [-4, 10, 7, -7]]\nB =\n[[7, -3, 4, 1, 8, -3],\n [-10, -4, 0, -5, 8, -3],\n [8, -3, 8, 8, -10, 3],\n [-8, -9, 5, -1, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 9, 6, 0, -2, -5],\n [-1, 9, 0, 9, 4, 0],\n [-8, -7, -2, -6, 3, -2],\n [8, 9, -2, -4, 1, 0]]\nB =\n[[5, 6, -10, 10],\n [9, 3, 10, -10],\n [8, -10, -2, 3],\n [-1, 7, -3, -8],\n [8, -2, 6, -7],\n [0, -10, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 2, 10, 4],\n [-1, -3, 8, 0],\n [-4, 6, 6, 3],\n [8, 7, 8, 5]]\nB =\n[[5, 10, 5, -1, 4, -1],\n [-2, -2, -10, -2, -5, -10],\n [6, 4, -5, 10, 5, -2],\n [-2, 8, 4, -9, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -3, -2, 8],\n [7, 2, -8, 9, -3],\n [2, 2, -1, -2, -10],\n [8, 6, -7, 5, 1],\n [7, -5, 10, -1, 8],\n [-3, -9, -4, -9, 3]]\nB =\n[[-10, 9, 5, 6],\n [-10, -7, -8, 7],\n [-6, 0, 2, -3],\n [-9, 1, -1, -2],\n [-8, 2, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1681", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-1, -5, 4, 8],\n [-10, -5, 6, -7],\n [-9, 0, -4, 6],\n [-10, 1, -4, -10],\n [6, 4, 1, -7]]\nB =\n[[-6, -10, -10, -2, 9, -6],\n [-5, -5, -5, 9, 8, 4],\n [-10, -4, 5, 4, 10, -9],\n [-1, 5, 2, -5, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 5, -6, 3, 9],\n [1, -6, -3, -7, 3],\n [-6, -3, 7, -1, -5],\n [-10, -10, 4, 10, -9],\n [10, -5, -1, 1, -10],\n [-9, -4, -3, 1, 3]]\nB =\n[[5, -8, -2, -5, 10],\n [8, 1, -10, 4, 7],\n [4, 3, -1, -6, 3],\n [3, -1, 3, 0, 0],\n [-7, -10, 2, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1874", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -1, -4, -7, -9],\n [4, -7, 9, -10, 2],\n [-2, 7, -6, 10, -8],\n [1, -1, -9, 5, 7],\n [4, 3, -4, -2, 7]]\nB =\n[[-6, 0, -4, -6, 8],\n [-8, -3, -1, -1, 0],\n [-3, 9, 8, -6, -7],\n [-7, 9, 5, 2, 5],\n [-6, 8, 10, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1645", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 4, -7, 10, 4, 8],\n [-4, 0, -4, -10, -9, 1],\n [0, -7, -7, 8, 1, 2],\n [8, -5, 5, -8, -2, 6],\n [8, 1, -6, -7, 5, 2]]\nB =\n[[3, -9, 1, 7],\n [-8, 3, 5, 2],\n [-7, -6, 2, 10],\n [-3, 3, 3, -5],\n [-1, -1, 5, -9],\n [10, 8, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 5, -2, 10, -5, 3],\n [10, -5, 10, 6, -3, 10],\n [6, -4, -2, 9, -1, 10],\n [10, 8, -5, -2, 8, -4],\n [-7, -10, 2, 1, 6, 9]]\nB =\n[[6, -4, -3, -10],\n [5, 1, -8, -1],\n [-8, 0, -5, 10],\n [4, 5, -7, 0],\n [-1, -7, -9, 9],\n [4, -2, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-383", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[4, -7, -5, -3, -1, 7],\n [9, 7, -5, -10, -7, -10],\n [-2, 9, 6, 9, 0, 4],\n [1, 2, -5, 9, -9, -8],\n [-1, -1, 7, -9, 3, -10],\n [-5, -1, 8, -6, 6, -9]]\nB =\n[[5, 9, -1, -10],\n [-1, 4, 9, 2],\n [2, -7, 6, 5],\n [10, 8, -6, 5],\n [5, 8, 9, -6],\n [5, 0, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 10, -10, 5],\n [2, -1, -10, -5],\n [-3, 6, 4, 4],\n [-9, -1, -3, -7],\n [-9, -4, -1, 6]]\nB =\n[[10, -10, -8, 8],\n [8, -9, 4, -10],\n [-9, 1, 0, -10],\n [-1, 1, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1295", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, 7, -3, 7],\n [10, -3, 4, 5, 10],\n [1, 5, -5, 0, -5],\n [5, 7, 10, 9, -8],\n [4, -7, -6, -7, -4]]\nB =\n[[-2, 1, -6, -10],\n [6, 5, -8, 6],\n [5, -4, -1, 2],\n [-8, -5, -7, 9],\n [9, -6, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, -3, 8, -10, 1],\n [-2, -8, -2, 2, 0, 5],\n [-4, 3, 4, 4, -8, -9],\n [-6, -4, 9, -10, 4, 2],\n [-6, -1, -1, -9, -9, -4]]\nB =\n[[-5, -6, -8, 5, 10, 4],\n [0, 1, -8, -6, -8, 6],\n [10, -5, -9, 5, 2, -7],\n [-5, -8, 1, 9, 9, 2],\n [0, -1, 2, -1, -9, -2],\n [8, -3, -5, 5, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 0, -8, 2, -6, 7],\n [5, -10, -6, -9, -5, 1],\n [3, 5, 5, 1, -9, -7],\n [-4, 1, -9, -3, -8, -10],\n [-9, 4, -6, 8, -9, 0]]\nB =\n[[10, 6, -2, 3, 0, -6],\n [3, 5, 8, 6, 5, 9],\n [-5, -10, -6, -10, -2, -8],\n [-3, 9, -9, -7, -8, 3],\n [-3, 1, 2, -8, -9, 5],\n [-6, 7, -5, 6, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 4, -2, 6],\n [-9, 4, 10, 10],\n [-2, 0, 7, -5],\n [10, 3, -8, 10]]\nB =\n[[0, -3, -3, 1, -10, 6],\n [1, 8, 6, -10, -4, 5],\n [3, 6, 10, 10, 0, 4],\n [2, 4, 7, -7, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "507", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -3, -10, -1],\n [0, 10, 9, 7],\n [6, -8, -3, 0],\n [9, -9, 10, 6]]\nB =\n[[2, 1, 1, 4],\n [7, -10, 6, -4],\n [5, 2, -6, -6],\n [2, -4, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 1, -8, -7, -8, -6],\n [0, 10, 1, -4, -10, -9],\n [5, 5, 10, 6, 9, -10],\n [-2, -3, -1, 2, 8, 10],\n [8, -5, -10, -4, 0, -6],\n [-8, -4, 5, 2, -7, 2]]\nB =\n[[6, 5, 3, -1, 0],\n [-8, 5, 2, -4, -7],\n [-9, -9, 8, 3, -7],\n [-6, 9, 1, 2, -8],\n [0, -8, -4, 5, -7],\n [5, 1, 9, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -2, 0, -3],\n [6, -7, -1, 0],\n [6, 5, 4, -9],\n [1, -5, -4, 9],\n [-6, 2, 0, 2]]\nB =\n[[-5, 5, -9, 9],\n [-7, -7, -6, 9],\n [-8, 3, 1, -2],\n [0, -10, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -7, -1, 0, 2],\n [-6, 2, 10, -10, 1, 2],\n [5, 8, -10, 6, -6, 8],\n [-1, -8, -2, 6, -9, -7],\n [6, -6, 9, 4, 1, -9]]\nB =\n[[1, 6, 8, -7, -7, -1],\n [-1, -5, 9, -3, -3, 2],\n [-8, 0, 5, -5, -1, -9],\n [-3, 5, 9, -6, 3, 8],\n [1, -8, 8, -10, -10, 9],\n [-5, 5, -10, 2, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -1, 2, -3, 4],\n [-5, -8, 5, 6, 5],\n [-7, -10, 4, 10, -2],\n [-8, -6, -1, 3, -9],\n [-5, -8, -9, 7, 0]]\nB =\n[[-4, 1, -1, -5, -6, 2],\n [0, -6, 8, 8, 4, 0],\n [-1, 0, -6, 2, -7, -9],\n [6, 9, 9, 7, 1, 1],\n [1, 4, 2, -9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "503", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[5, 9, -7, 8],\n [-7, -9, 10, 9],\n [9, 2, -2, 6],\n [-9, -4, -9, -8]]\nB =\n[[3, 8, 2, -3],\n [0, -10, 0, -8],\n [-1, 10, 8, -2],\n [6, 10, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, 4, -6, 5, 1],\n [9, 1, 7, 8, 3, -10],\n [5, -10, 3, 0, 6, 4],\n [-10, 4, 8, 1, -8, -4],\n [5, -1, 4, 8, 1, 5]]\nB =\n[[-1, -3, -6, 4],\n [4, -5, -9, 9],\n [2, 10, 8, -8],\n [-9, 7, -2, 3],\n [-8, -6, -2, 0],\n [10, -8, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -6, 7, 7],\n [3, 9, 7, 7, -7],\n [-2, -5, -5, 10, -10],\n [-8, -10, 4, 10, 2],\n [5, 7, 6, -6, 9],\n [6, -9, -10, -10, 3]]\nB =\n[[2, -5, -9, 9, 5],\n [3, -9, -8, -6, 7],\n [5, -4, 10, 5, -10],\n [-2, 8, 1, 9, -7],\n [2, -2, -10, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2483", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -9, 8, 1],\n [-10, -2, -1, -9, 0],\n [-1, 2, -7, -10, -1],\n [0, -6, 3, -10, 7]]\nB =\n[[5, 4, 5, 3],\n [3, -1, -2, 2],\n [-1, 8, -6, 5],\n [4, 5, 7, 1],\n [-6, -10, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1149", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[8, 0, 3, -5, 7],\n [-5, 2, 1, 6, 5],\n [-8, -6, -7, -5, -9],\n [-9, 7, -9, 1, -3],\n [-2, -1, -3, 9, 2],\n [-3, -4, 8, 5, 3]]\nB =\n[[0, 3, -3, -2, 7, -10],\n [-7, 5, 8, 6, -9, 5],\n [2, -5, -5, -9, -5, 8],\n [1, 2, 5, -10, 6, -10],\n [2, -10, -5, 4, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -1, -4, -10, 3, -3],\n [7, 8, -6, -5, -9, 9],\n [-8, 6, -4, 7, 3, 3],\n [4, -9, -7, -8, 0, 4]]\nB =\n[[-1, -1, 3, 4, -2, 3],\n [-8, -9, -10, 7, -5, 10],\n [7, -4, -8, 6, 1, 9],\n [1, 10, -4, -4, 1, -4],\n [-7, 4, 1, -10, -4, 7],\n [4, 0, -8, -4, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-505", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-2, 8, -1, -4],\n [-5, -3, -5, -6],\n [-8, 0, 8, -3],\n [-1, -2, -8, -4],\n [-1, -2, -4, 6]]\nB =\n[[8, -7, 9, 8, -7, 2],\n [-3, 3, 1, -8, -3, -2],\n [-2, 1, -5, -4, -6, -6],\n [-2, 8, 0, 0, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, -10, -7],\n [-3, 7, -1, -1],\n [10, 1, -5, -1],\n [6, 9, 9, -5]]\nB =\n[[-3, 10, 3, 6, -5, -8],\n [4, 2, -4, 9, -3, 10],\n [-8, -8, -10, 9, 8, -5],\n [10, 5, 2, -9, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -10, 0, 1, -9],\n [-6, -7, -6, -8, -8],\n [-4, -7, -6, 10, -10],\n [-1, -4, -6, -8, 9],\n [-5, -10, -5, 4, 9]]\nB =\n[[7, -10, -5, 9, 1],\n [-6, 9, 9, -10, 7],\n [-8, 8, -2, -6, -3],\n [5, 0, -10, 6, 0],\n [-4, 2, 5, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 5, -4, 5, 8],\n [-9, 4, -9, -7, 7],\n [5, -4, 6, -1, -2],\n [-2, -2, 0, -10, 5]]\nB =\n[[6, -8, -9, 0, -7, 4],\n [-10, 4, 5, -8, -4, 7],\n [-1, 2, 3, -8, 1, -10],\n [-1, 10, -9, 2, -8, 3],\n [-6, -5, -3, -6, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, 1, 6, -8, -4, 1],\n [-6, -4, 0, 10, 5, 8],\n [4, -10, 2, -2, 7, -7],\n [-8, 9, -4, -6, 9, -4]]\nB =\n[[6, 3, -8, 2],\n [5, -10, 6, 10],\n [-1, 9, -6, 8],\n [2, 3, 5, 3],\n [4, -4, -5, -8],\n [0, 2, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[1, -10, 6, -2, 2],\n [4, 2, -10, 5, 3],\n [-8, 8, -10, 2, 10],\n [-4, -10, -2, 2, -9]]\nB =\n[[1, -2, 4, 3],\n [0, 10, -4, -1],\n [-4, -10, 9, -8],\n [-4, 7, -4, 0],\n [-1, -8, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[0, 9, 9, -2],\n [-1, -6, 3, 5],\n [-8, 8, -5, -6],\n [5, -6, 6, -8],\n [-9, 10, -1, -1],\n [-7, 3, 9, 3]]\nB =\n[[0, -1, 7, 7, 1],\n [1, -8, 7, -5, -4],\n [3, 2, -6, -8, -8],\n [-9, 9, -4, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -4, -5, 9, 3],\n [7, -5, -9, -7, 7],\n [-10, -3, 0, 7, -9],\n [4, 3, 4, 0, 1],\n [6, 7, 8, 6, -9],\n [8, -5, -2, -2, -9]]\nB =\n[[-4, 1, -2, -10, 6],\n [-9, -8, -8, -2, -3],\n [-4, 8, -9, -7, 6],\n [10, -8, -4, 8, -8],\n [5, -4, -8, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 0, -6, 8],\n [-4, -10, -3, 3],\n [2, -6, -5, -6],\n [-4, -8, -10, 10],\n [-6, 5, -2, -10],\n [-10, -9, -5, 4]]\nB =\n[[5, -4, -5, -2, 3],\n [-2, -2, -9, 8, 0],\n [9, -6, -2, 7, -1],\n [-6, -4, 5, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 2, -10, 1, -1],\n [5, 3, -2, 1, -3],\n [1, -7, 1, -3, 8],\n [-2, 0, -2, 9, -8],\n [1, -2, -5, -6, 6]]\nB =\n[[7, -1, 1, 5, -10, 7],\n [9, -2, 4, 10, 10, 5],\n [-4, -1, 7, 4, -2, -3],\n [-6, 7, -5, -2, 3, 10],\n [8, 6, 4, -4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -3, -2, 7],\n [3, -9, 1, 8],\n [0, -5, 3, 5],\n [-9, 8, -7, 5]]\nB =\n[[8, 5, -3, -3],\n [-10, 2, 8, 4],\n [-9, -5, 0, 3],\n [-3, 6, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -5, 3, 4, -9],\n [-10, -9, 5, -5, 6],\n [0, 5, 5, 8, 10],\n [8, 5, -6, 8, 2]]\nB =\n[[7, -6, -4, -9],\n [-3, -10, 7, -9],\n [5, -9, 1, 7],\n [-5, 3, 0, -10],\n [-4, -10, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-2, -7, 1, 6],\n [-2, -8, -1, 2],\n [-9, -7, -8, 0],\n [-4, -3, 4, 0]]\nB =\n[[5, 1, 3, -2, -10, -5],\n [7, -8, -2, -10, 8, -6],\n [-4, 0, -3, -1, -10, 7],\n [6, -8, 0, 7, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, -8, 1],\n [0, -8, -5, -6],\n [0, 0, 5, -1],\n [-8, -2, 7, -9]]\nB =\n[[4, -9, 3, -2, 1],\n [-2, -8, -6, 5, 2],\n [-6, 9, -4, 6, 0],\n [0, 6, -10, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "977", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 5, -6, -3, 8],\n [2, -5, 7, 8, 9],\n [5, 2, 5, 7, 2],\n [10, -6, 5, -10, 7],\n [9, 2, -5, 3, -8],\n [-6, -10, 4, 3, -5]]\nB =\n[[-8, 9, 2, -9],\n [4, 4, 3, 0],\n [-5, 7, 9, 7],\n [-4, -4, -4, -7],\n [10, -8, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[4, -2, 3, -4, -10],\n [-1, -5, -5, -6, 2],\n [-2, -7, -6, -6, 9],\n [-7, 1, 3, 5, 0]]\nB =\n[[-7, -10, 5, -6],\n [-1, -3, 10, -2],\n [-5, -1, 0, 9],\n [-2, -2, -1, 2],\n [-6, 7, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 8, 5, -10, -8],\n [0, 8, 0, -5, 6],\n [-3, 3, -10, 4, -6],\n [9, 7, -2, -8, -7],\n [-8, -2, 6, 10, 4],\n [-7, -8, 3, -8, 10]]\nB =\n[[5, -8, 7, 7, 0],\n [-6, -3, -6, -8, -9],\n [4, 6, 10, 9, 0],\n [10, 10, -4, 0, -8],\n [3, -10, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 8, -7, -1],\n [5, -7, 10, 8],\n [-5, -1, -2, -1],\n [9, 1, -3, -7]]\nB =\n[[-7, -4, 0, -9, 5],\n [5, 5, 9, 4, -3],\n [-3, -5, -7, -3, -9],\n [-10, -9, 9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-8, 9, -1, 0, -10],\n [7, -4, 4, -3, 7],\n [-4, -6, 9, -1, -7],\n [7, -10, 7, 0, 7]]\nB =\n[[2, 6, 10, -9],\n [3, -5, 3, -2],\n [-2, -4, -10, -6],\n [-10, -4, 3, 4],\n [-9, -9, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -7, 7, 8, 7],\n [-8, -2, -9, -5, -6],\n [6, -9, -4, -3, -4],\n [-5, 7, -1, 3, 1],\n [0, 6, -7, 5, -5]]\nB =\n[[-5, 0, -6, 8, -7, 1],\n [-2, 9, -10, 1, -6, -4],\n [-6, 1, -9, 9, -6, 3],\n [9, -7, 10, -9, 6, 0],\n [3, 8, 5, -3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, 1, 5, -1, -1, -4],\n [3, 7, -4, -9, 3, 7],\n [-8, 4, 2, 9, -3, 6],\n [-1, 1, 8, -3, -2, -3],\n [9, 5, -5, 9, -3, 10]]\nB =\n[[-7, 4, -5, 1, 0],\n [10, 9, -10, 10, -10],\n [-6, -3, 4, -9, 3],\n [-1, 1, 10, 3, -10],\n [-10, -5, -8, 6, 6],\n [3, -2, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -1, -2, -10, 1, -4],\n [8, 2, -2, 10, -3, 7],\n [0, -4, 6, 5, -9, 8],\n [-3, -4, 8, 6, 2, -7]]\nB =\n[[8, -8, -3, -6],\n [1, 7, 9, -2],\n [2, -5, -10, 0],\n [-9, 6, 6, -6],\n [4, 1, 4, -2],\n [0, 2, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -8, -2, -9],\n [-9, -3, -2, 10],\n [3, 2, 2, 7],\n [-5, 6, 3, 6],\n [-4, 4, 5, -9],\n [-2, 3, 10, -10]]\nB =\n[[7, -3, 5, 8],\n [7, 5, -10, -8],\n [8, -5, 3, -1],\n [-10, 6, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1906", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -10, -4, -6],\n [1, -1, 7, 2],\n [0, -10, -4, 6],\n [7, 5, 9, -5],\n [8, 6, -1, -8],\n [8, 6, -3, 3]]\nB =\n[[-3, -7, -2, 4, -2],\n [9, 5, 0, 6, 8],\n [-6, -4, 4, -6, 7],\n [10, -6, -7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1632", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 3, 10, 3, 3],\n [6, -3, 2, -4, 10],\n [-3, 3, 0, 5, 8],\n [5, 3, -8, -10, 9],\n [-6, 5, 8, 3, -9]]\nB =\n[[7, -10, -10, -5],\n [-10, -10, -9, -6],\n [-10, 0, 6, -3],\n [-7, 9, -10, -2],\n [-8, -2, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -3, 7, -3, 8],\n [4, -5, 1, -1, 7],\n [-6, 1, 6, -10, 9],\n [9, 0, -9, 7, 8]]\nB =\n[[-9, 8, 0, -2, 8],\n [-4, 1, 2, -8, 6],\n [0, -2, -9, -4, 1],\n [-9, -7, 8, 0, -2],\n [4, -1, 4, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "782", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 1, 9, -9, -3, -6],\n [5, -7, -3, -9, -7, 8],\n [0, -1, 0, 0, -7, 8],\n [-6, -8, -6, 9, -8, 1]]\nB =\n[[4, -1, -9, -8, -6, -10],\n [2, -5, 8, -3, -10, -4],\n [-8, -5, 2, -2, 4, 8],\n [2, -2, -1, -8, 8, 5],\n [9, 6, -9, -2, 1, 3],\n [5, -7, -5, 6, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -6, -3],\n [8, -5, 2, -1],\n [8, -4, 0, 0],\n [-2, -2, -10, 6]]\nB =\n[[-7, 4, -2, 1, 2],\n [-1, -8, -4, 5, 4],\n [8, 3, 2, -3, -7],\n [-10, 2, 10, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "730", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[4, -3, -7, -10, -4, -7],\n [3, -6, 0, -7, 0, -5],\n [9, 1, -3, -3, 0, -5],\n [-1, -10, 10, -1, 4, -9],\n [10, 7, -2, 7, 0, 10],\n [-10, 0, 5, 0, -4, 8]]\nB =\n[[5, -8, 6, -7, 3, -7],\n [-1, -6, -5, 8, 0, 5],\n [-2, 4, -9, -7, -4, -5],\n [-1, 4, 7, 0, -4, -6],\n [-5, -3, -3, -10, 0, -7],\n [-1, -6, -8, 6, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, 2, 1, 6],\n [10, 0, -7, 8, -8],\n [6, 4, -6, 9, -4],\n [3, 7, -1, -2, -9]]\nB =\n[[-4, 10, -7, -6, 8],\n [5, 3, -7, 4, -3],\n [0, -10, 8, 3, 2],\n [-6, -3, 4, -3, 0],\n [-9, 4, -9, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -1, 2, -9],\n [-3, 10, -8, -9],\n [-8, 8, 0, -6],\n [-9, -6, 4, 10],\n [-4, 2, 7, -8]]\nB =\n[[6, -4, -7, -10, 9],\n [-10, -3, -5, 4, 0],\n [9, -1, 0, 1, 2],\n [5, -7, -5, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1515", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 6, -3, 3, -3],\n [10, -8, -4, -9, -6],\n [2, -5, 7, -8, -10],\n [7, -2, -6, -5, 2],\n [1, -7, -8, 9, -3],\n [-8, 4, -8, -4, -3]]\nB =\n[[2, -7, 4, 3, 7],\n [-10, 1, 4, 5, 9],\n [-8, -10, 3, -5, 7],\n [6, -5, 4, 7, 3],\n [-7, 1, 0, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "590", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 0, 4, -5, 2, -7],\n [0, 9, -10, 9, -2, -7],\n [-6, 5, 0, 1, 7, 2],\n [7, 6, 6, 1, -9, -2],\n [-9, -2, 10, -10, -2, -2],\n [5, 3, -4, 3, -6, 6]]\nB =\n[[3, -10, -4, 2, 0],\n [-5, 1, 2, -9, 6],\n [-5, 2, -10, -4, 10],\n [-3, 10, -3, -9, 9],\n [-7, -1, -8, -5, 2],\n [-4, 4, -5, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[5, -4, 3, -9, 7],\n [7, 9, -10, -10, 4],\n [3, -3, -2, 3, -4],\n [-5, 8, -5, 6, -8],\n [9, 7, -2, 5, 6]]\nB =\n[[5, 7, 1, -8],\n [0, -8, -3, 7],\n [4, 6, 8, -2],\n [-7, 10, -6, 0],\n [3, 0, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -2, 0, -10, -7],\n [-10, -9, -6, -5, 7, 1],\n [-6, 0, -6, -7, 1, 0],\n [6, -5, 5, 5, -5, 9]]\nB =\n[[-3, 2, -2, 9],\n [9, -1, -9, -5],\n [-4, 4, -7, -6],\n [5, -1, 2, 3],\n [6, 5, 0, 6],\n [-5, 4, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 9, 9, -10, -1],\n [-4, 5, 6, 0, 9],\n [-4, 2, -3, -6, 2],\n [-2, -8, 3, 7, 5],\n [7, 8, 10, -3, 4]]\nB =\n[[2, 9, 2, -7],\n [-6, 8, 2, -5],\n [7, 1, -10, -6],\n [-5, 1, 7, 6],\n [-8, -2, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-553", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, -5, 8],\n [3, 5, 3, 1],\n [3, 10, -7, 0],\n [1, -6, 10, -10]]\nB =\n[[-1, 6, 1, 9, -2, -10],\n [-8, 0, 7, -7, 1, 3],\n [8, 4, -1, -1, -6, 10],\n [-9, -5, 8, 7, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, 8, -1, 10, -9, 9],\n [0, -9, 5, 7, -8, -6],\n [-5, 6, 2, -3, -7, 6],\n [0, 5, -1, -3, -7, 3],\n [-1, -4, -2, 0, 10, -9]]\nB =\n[[10, 1, 8, -5, -5],\n [-7, 7, 2, -7, -10],\n [-2, -4, 1, 9, 7],\n [2, 4, 4, -6, 7],\n [0, 2, -8, -4, 4],\n [5, 4, -4, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -4, 8, -7, 5],\n [-2, 9, -9, 10, -2],\n [-8, 3, 1, 5, 7],\n [10, -10, -4, 8, -9],\n [-9, 0, 3, 9, -5]]\nB =\n[[-1, -10, -4, -3, -9, 4],\n [5, -5, -8, -8, -3, -7],\n [-7, 8, 8, -6, -4, 3],\n [-2, -9, 10, 2, -9, -1],\n [-4, -4, 0, 0, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -6, 4, 3],\n [-2, 5, -1, 2],\n [9, -5, -5, 5],\n [1, -2, -10, -3],\n [2, 0, 7, 3]]\nB =\n[[0, 6, -5, -6, -5],\n [-10, -1, -9, -10, -8],\n [-2, 7, 3, 3, 5],\n [-4, 2, -1, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[0, -1, -1, -4, -3, 0],\n [2, 0, 4, -3, -1, 5],\n [9, -10, -9, 3, 6, -10],\n [-8, -3, -4, 5, -6, -10],\n [5, 0, -9, 7, -6, 5]]\nB =\n[[-10, -2, -1, -1, -8],\n [10, -1, 5, 4, -9],\n [-1, 7, -4, -7, 5],\n [-4, -4, -4, 3, -5],\n [-7, -2, -7, 4, 4],\n [1, -2, 7, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -5, 2, -8],\n [1, 10, 3, 2],\n [1, -10, 8, 9],\n [-5, 2, 9, 1],\n [-4, 4, 0, -7]]\nB =\n[[4, -6, -2, 5, -10, 0],\n [-9, 3, -2, -8, -9, 0],\n [-10, 10, -10, 0, 4, -10],\n [-7, 10, -2, -1, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-395", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 10, 10, 2],\n [10, -1, 4, -4],\n [9, -8, -6, -6],\n [2, 9, -8, 4]]\nB =\n[[-10, 10, -6, 4, -1, 8],\n [-3, 9, -9, -10, -9, 2],\n [4, -10, -7, -5, -3, -10],\n [-8, 4, 2, 7, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 0, -8, 8],\n [-3, -7, -4, 8],\n [7, 2, 5, -9],\n [4, 2, -1, 6],\n [2, 10, -2, -10]]\nB =\n[[4, 1, 0, 6, 6, 6],\n [-9, 4, 1, 10, -5, -9],\n [-2, -1, -7, 0, 5, 8],\n [10, -2, -3, 4, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, -5, -9],\n [1, -2, -9, 10],\n [6, -4, -3, -6],\n [2, 10, -5, -9]]\nB =\n[[-3, 6, -4, 1],\n [4, -9, -6, -1],\n [-8, -8, 9, -8],\n [8, -6, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, 10, -4, -9],\n [8, 4, 10, 0, -10],\n [-8, -6, -8, 1, -8],\n [-1, 10, 8, -2, -4],\n [4, 1, 8, -2, -8],\n [-8, 7, 7, 8, 2]]\nB =\n[[1, -9, 9, -8, 2],\n [-2, 2, -1, -9, -10],\n [-4, -6, 9, -2, -2],\n [-2, -7, -5, 1, -8],\n [-7, -3, -4, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 5, -9, -8],\n [5, 0, -10, -6],\n [4, -4, 7, -6],\n [-1, 3, 5, -10],\n [-9, -8, 9, 9]]\nB =\n[[-4, -6, -6, 5],\n [4, 8, 5, 0],\n [5, -5, 3, -10],\n [2, -4, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 6, 4, -10, -9, -2],\n [6, 1, -4, -7, -9, 7],\n [-3, 9, -3, -7, -8, -8],\n [8, -3, 4, -6, 8, 4],\n [6, 8, 7, -4, -5, -10]]\nB =\n[[7, -2, -5, -9, 4],\n [6, 6, -6, -10, 7],\n [6, -8, -2, 1, -1],\n [-3, 1, -5, 5, -4],\n [-10, -8, -9, 2, -8],\n [-10, 1, -5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2712", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, 0, 0],\n [0, -3, -8, 6],\n [-10, 2, 3, 1],\n [2, -10, -9, 6],\n [4, 0, -2, -2]]\nB =\n[[-8, -3, 2, 3],\n [10, 7, -3, 5],\n [-1, -10, -3, -4],\n [-4, 7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 5, 3, 2],\n [0, 4, -7, 2],\n [-8, -10, -3, -5],\n [2, 8, 3, 1],\n [-6, 2, -9, -4]]\nB =\n[[3, -1, -7, -9, 3, 6],\n [6, -5, 8, -8, 6, -2],\n [3, 8, 9, 1, 6, -2],\n [8, 10, -6, 5, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-326", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[2, -3, -9, -6, 2, -6],\n [-8, 7, -7, -4, 3, -3],\n [4, 7, 8, 8, 7, 9],\n [-8, 9, 10, -10, -7, -4],\n [5, -3, -9, 6, 10, -8]]\nB =\n[[-2, 4, 0, -1, -5, -1],\n [-8, -6, -8, -3, 7, 5],\n [-3, 8, 6, -6, 2, -8],\n [-3, -6, 10, 9, 1, -7],\n [-10, -3, 7, 5, -4, -2],\n [2, -4, 7, 10, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 9, -1, 9, 4],\n [-5, 7, 2, -5, 8],\n [-2, 9, 6, -6, 2],\n [-5, 4, -9, -3, -7],\n [5, 1, 2, -9, -9],\n [-10, 2, 2, 5, -10]]\nB =\n[[5, -6, -8, -6],\n [4, 8, 2, 5],\n [-3, -5, 5, 0],\n [-10, -3, 4, -8],\n [-8, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1747", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 7, 3, -9],\n [10, -9, -5, 2],\n [-10, -9, 3, 3],\n [1, -7, 3, -10],\n [10, 3, -1, 1],\n [-5, 1, -5, 6]]\nB =\n[[-3, 0, 1, -9, 7, 4],\n [0, -3, 7, -8, 4, -2],\n [-8, 10, 9, -10, 0, -10],\n [0, -9, 9, 1, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2020", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 3, -1, 8],\n [10, 2, 9, -9],\n [-6, -8, 10, 4],\n [-10, -4, 5, 10]]\nB =\n[[4, -3, -2, -6, -10],\n [10, 9, 10, 7, -6],\n [3, -7, 6, -5, 1],\n [2, -5, -6, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, -6, 10, 2],\n [-6, -9, 3, 8],\n [-4, -1, -7, -4],\n [10, -10, 10, 8]]\nB =\n[[-3, 3, 6, -7, 0, -5],\n [4, -4, 10, 9, -7, -6],\n [-8, 10, 1, -9, -5, 9],\n [7, -5, 2, -2, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, -10, -2],\n [0, -1, 4, -6],\n [0, 1, -7, -6],\n [-6, 6, -3, 0]]\nB =\n[[4, 7, 1, 5],\n [-4, 3, 0, 8],\n [-2, 3, 3, 6],\n [-9, -1, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[4, 9, 0, -2],\n [0, -2, 2, -10],\n [-5, -8, 4, 7],\n [0, 9, 6, 3]]\nB =\n[[6, 3, -8, 6],\n [2, -6, -6, 2],\n [-6, -9, 8, 3],\n [1, 3, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 5, 1, -6],\n [3, 4, -5, -7, -5],\n [3, 3, -10, 0, 2],\n [-10, -4, -8, 1, -5],\n [-3, -1, -10, -6, 0],\n [-6, -6, -9, 4, -6]]\nB =\n[[-3, 7, 7, 4, 9, 9],\n [6, 2, 10, 5, 4, -2],\n [3, -5, -6, -3, 0, -8],\n [-2, -7, 3, 7, -5, 5],\n [7, 8, -1, 7, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1808", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 6, -8, -5],\n [-2, -8, -3, 4],\n [2, 2, -1, -7],\n [0, 9, 8, 9]]\nB =\n[[4, -2, 8, -4],\n [-9, -4, 5, 4],\n [2, -6, 4, -9],\n [-4, 6, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, 7, -3, 2],\n [0, -9, -9, -4],\n [9, 10, 7, 9],\n [-6, -7, -3, 4]]\nB =\n[[-8, -8, -2, 4],\n [10, 9, 7, -5],\n [-7, 5, 10, -5],\n [-9, -2, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[8, -5, 1, 5],\n [-10, 3, 0, 3],\n [-6, -1, -8, 4],\n [-5, -6, 0, 5]]\nB =\n[[-8, -1, -7, -10, 4, 3],\n [-10, 8, -7, -7, -3, -7],\n [-1, -6, 2, -4, -8, 2],\n [5, 6, -3, -4, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, -9, -8, -9],\n [-2, 1, -3, -4, 2],\n [5, -9, 3, -3, -1],\n [-6, 8, -4, 1, 8],\n [2, -9, 1, -6, 7]]\nB =\n[[7, -4, -4, 8, -5],\n [9, -10, 6, 6, 7],\n [-8, -2, 10, 7, -10],\n [-8, -3, 5, -1, -5],\n [-7, 0, -8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -8, 7, -4],\n [2, -3, 10, 0],\n [-3, 2, 7, 7],\n [-9, 7, 3, -6],\n [6, 2, 3, -4],\n [0, -9, 5, 9]]\nB =\n[[-1, 4, -1, -7],\n [-6, -5, -2, 8],\n [-2, 3, -2, -2],\n [9, 4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -3, 2, 1, 3, 0],\n [-4, 5, 3, 2, 9, 10],\n [-2, -8, -7, 0, -9, -4],\n [-1, -3, -7, 0, 4, 6]]\nB =\n[[-6, 2, 7, 0, -10, -9],\n [2, -2, 6, -7, 4, -2],\n [1, 10, 7, -1, 7, 10],\n [-5, 9, 4, 8, -4, 2],\n [-9, 7, 8, -2, -3, -4],\n [2, 4, 1, -3, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -9, -9, -10, -1],\n [-6, 6, 1, 9, 7],\n [-1, 10, 4, -5, -8],\n [-4, -4, 9, -4, 1]]\nB =\n[[5, -1, -3, 6, 2],\n [-6, 6, 7, 4, -1],\n [3, 0, 3, -5, 10],\n [-5, -10, -3, -4, 1],\n [8, -2, -9, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -8, 3, -4, -8, 2],\n [0, 5, 4, 2, -7, 2],\n [9, -7, -6, 9, -3, 9],\n [-10, -5, 7, -8, 0, 2],\n [7, 8, -4, -10, 7, 0]]\nB =\n[[-2, 4, -2, -4, 2, -10],\n [6, 3, -10, 4, 5, 1],\n [-7, 0, -9, 7, -2, 1],\n [5, 1, 1, 4, -10, 2],\n [1, 10, -1, -6, -5, 6],\n [-8, -5, 9, -1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 2, -9, -10, 7],\n [5, 1, 1, 1, 6],\n [0, 2, -10, -10, -9],\n [2, 2, -4, -10, -1],\n [-6, 7, 0, 6, -2]]\nB =\n[[2, -9, -3, -10, 10],\n [-10, 4, 0, 6, 3],\n [9, -9, 8, 1, -2],\n [-5, 3, 9, 4, -6],\n [-7, -3, 10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[3, 7, 4, -7, 10, -6],\n [-2, 10, -8, 2, 9, 8],\n [7, -2, 5, -9, -4, -3],\n [3, 6, -8, -10, -6, -3],\n [7, 7, 9, -5, 5, 4]]\nB =\n[[5, 0, 10, 2, -3, 6],\n [4, 1, 8, -3, -8, -7],\n [6, 3, 2, 6, -5, 6],\n [10, 4, 4, -6, 8, 3],\n [3, -9, 10, 4, -8, -4],\n [-10, 3, 4, 8, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 6, 0, 0],\n [3, -10, 2, 7, 1],\n [10, 9, -7, -9, -3],\n [-6, -8, -3, -7, -1],\n [-3, 1, 4, -1, -8],\n [-2, -1, 9, -4, 2]]\nB =\n[[-2, 4, -10, 5, 5, 2],\n [-8, -4, 9, -7, -6, 2],\n [2, 4, -9, 8, -1, -10],\n [3, -10, 2, -7, -9, -5],\n [-6, -10, 0, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -2, -10, -2, 0],\n [-10, 10, -3, -1, -4],\n [8, -7, 9, 10, 9],\n [-10, 8, -2, 5, 3]]\nB =\n[[-1, -1, 4, -2],\n [1, 7, 6, -1],\n [-4, 4, 6, 0],\n [3, -4, 5, -2],\n [9, -8, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[7, 2, 9, 8, -2, 8],\n [9, -4, -2, 2, 8, -5],\n [7, 2, 3, 6, -10, -10],\n [-4, 3, -5, -2, 3, -9]]\nB =\n[[-6, 2, 0, 6, 5],\n [8, 2, -8, 9, -6],\n [9, 4, 7, 5, -5],\n [2, 7, 2, 10, 1],\n [3, 5, -8, -3, 3],\n [7, -3, -10, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, -6, -9, 6],\n [3, -5, 4, 5, -10],\n [-10, -2, -6, -10, 9],\n [2, -6, -7, 4, 6]]\nB =\n[[-3, -6, -8, 1, -6, -10],\n [-6, 4, 4, 10, 1, 7],\n [-8, -9, 10, 9, 6, -1],\n [4, -9, 3, -10, -9, 8],\n [2, -3, -1, -5, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-528", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -10, -9, -4],\n [-7, -2, 10, 8],\n [-7, -2, 5, -10],\n [-7, 2, 9, -7],\n [-10, -5, 1, 8]]\nB =\n[[0, 3, 0, -8],\n [3, 7, -1, -8],\n [2, 7, 0, 3],\n [4, 10, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -1, -5, -10, -8, -8],\n [0, 10, 2, -4, 0, -3],\n [-9, -7, 1, -9, -3, 8],\n [6, 1, -6, 10, -8, -10]]\nB =\n[[10, -9, -3, 6, -1, -10],\n [-10, -10, 2, -3, -1, -8],\n [4, 2, -5, 0, -6, 6],\n [8, -4, 7, 1, 1, 8],\n [8, -1, 1, 5, 5, 5],\n [3, 4, -6, 2, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1727", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -6, -2, 3, -3, -2],\n [8, -6, -5, 5, -8, 9],\n [-3, -3, -1, -3, 7, -10],\n [-6, -10, -7, -3, 8, -5]]\nB =\n[[-1, -2, 9, 9],\n [10, -3, 1, 3],\n [9, 0, -5, -9],\n [10, -4, 2, -10],\n [6, 2, -9, -8],\n [5, 3, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-315", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 0, -7, -10],\n [3, 9, -7, 6],\n [6, 3, 9, -2],\n [9, -10, -4, 2]]\nB =\n[[-1, -9, 4, 4],\n [0, 2, -9, 8],\n [-1, 4, -6, 7],\n [3, -4, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -10, 6, -2],\n [-2, 6, 0, -9],\n [8, 9, 7, 8],\n [2, 3, 2, 8],\n [-3, 0, -9, 6]]\nB =\n[[-6, -7, 10, 7, 6, 8],\n [0, 5, 3, 3, -1, -1],\n [-1, -1, -1, -7, -10, -1],\n [9, -6, 9, -1, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1491", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 9, 9, 9],\n [-2, -5, -6, -2],\n [-8, -1, -8, 5],\n [0, 9, 10, -1],\n [-3, 4, 8, 2]]\nB =\n[[-5, 6, 7, 5, -8, 9],\n [-8, 8, -5, -6, -7, 0],\n [8, -1, -1, 6, -4, -1],\n [-4, 1, 5, -4, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1251", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 0, -3, -6, 2],\n [6, -9, -1, 1, 2, 10],\n [5, 8, -3, 1, 10, 3],\n [1, 1, 4, 7, 7, 4],\n [4, -3, -7, 7, -3, 3],\n [5, 0, -1, 4, -4, 6]]\nB =\n[[-9, 6, -8, 7, 1],\n [-8, 6, -4, -7, -10],\n [-2, -6, 6, 10, 4],\n [2, 9, 0, 10, 8],\n [9, 7, 9, 3, -9],\n [-5, 9, 10, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 7, -1, 9, -3, -1],\n [-2, 4, 10, -5, -2, 10],\n [-4, 1, -1, -3, 9, -2],\n [1, -1, 9, 3, 8, 6]]\nB =\n[[2, 2, 5, -5, -4, 10],\n [-9, -8, 8, -3, -10, -6],\n [6, 2, -2, 4, 10, 0],\n [-3, 4, -2, 7, -8, -2],\n [-10, -2, -6, -9, -2, 7],\n [5, 10, -2, -5, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-7, 2, -2, -8, 9],\n [3, -5, 7, -2, -2],\n [6, -8, 9, -10, -7],\n [6, -7, 7, -7, 8]]\nB =\n[[7, -7, -4, -6, -10],\n [2, -6, -8, 2, -5],\n [-1, 7, 2, -6, -1],\n [-2, 8, -1, -9, 8],\n [10, -1, -5, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 1, -8, 9],\n [2, 5, 6, 3],\n [7, -9, 6, 8],\n [-10, -7, -10, -4],\n [5, 5, 8, -3],\n [1, -5, 4, 1]]\nB =\n[[7, 10, -1, -1, 1, 3],\n [-3, -8, -10, 4, -6, 10],\n [-3, -4, 9, 9, -7, -6],\n [0, 4, 8, 10, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[9, -8, 8, -8, -1, -5],\n [7, -9, 0, -2, -9, 1],\n [1, 6, -3, -5, 9, -10],\n [-5, -10, -7, 10, 1, 1],\n [-7, 9, 8, -9, 10, -7],\n [6, 7, 5, 10, 10, -8]]\nB =\n[[6, 2, -4, -10, 5],\n [8, 10, 9, -8, -10],\n [9, -2, -10, -7, 9],\n [2, -10, 5, -7, -3],\n [-10, 8, -10, -7, -10],\n [4, -7, 7, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, 8, 0, 10, -4],\n [10, -5, -8, 4, -5, 3],\n [5, -1, 3, -2, -10, 7],\n [-6, 9, -3, 4, -5, -1],\n [-1, -7, -10, 2, 10, -10]]\nB =\n[[1, -8, 10, -1],\n [-9, 9, 1, 6],\n [-7, -5, -4, 8],\n [0, 0, -1, -6],\n [1, -8, 0, -2],\n [0, 5, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1752", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 9, -7, -9],\n [0, -9, 0, 3],\n [-8, 8, -1, -9],\n [-10, 10, -3, 3]]\nB =\n[[10, -3, -10, -3, 6],\n [-10, 7, -3, 6, -3],\n [0, 4, 6, -10, 6],\n [-4, -10, -9, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 1, 8],\n [5, -10, -9, -5],\n [2, -5, -2, 10],\n [-4, -1, 10, -9]]\nB =\n[[-5, -10, -7, 7],\n [-2, 10, -4, -5],\n [-10, 8, -9, -1],\n [0, 10, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 10, 1, 4],\n [3, 5, -6, -8],\n [-5, -3, -8, -4],\n [-10, -8, -10, -1],\n [-5, -7, 6, -3]]\nB =\n[[10, -4, 2, -2],\n [2, 7, 10, 3],\n [-10, -5, 3, 3],\n [7, 6, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -2, 3, -5, 10],\n [2, 1, 9, -7, 1],\n [7, 4, 2, -5, 4],\n [-4, 1, 1, -7, 3],\n [1, 5, 8, 9, -6],\n [4, -9, 9, -1, -4]]\nB =\n[[-2, -5, -6, -8, -5],\n [-3, 7, -1, 8, -10],\n [-6, -4, 8, 3, -6],\n [-1, 1, 10, -9, -1],\n [-5, -2, -5, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1444", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-10, 4, -6, 8, 2, 9],\n [5, 4, 7, -7, 8, -7],\n [-2, -4, 1, 5, 6, 0],\n [-5, -10, -8, 3, 6, 9]]\nB =\n[[-4, 7, -6, -1],\n [1, 6, -9, -4],\n [1, -9, 4, -8],\n [10, 7, 10, -8],\n [7, -7, 0, 1],\n [-5, 3, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[8, 10, -2, -9, 5, 2],\n [8, 3, -10, 1, 8, -5],\n [-10, 9, -10, 10, 0, -3],\n [6, 1, 10, 5, 2, -1]]\nB =\n[[0, -7, 4, -2, 1, 8],\n [-5, 9, 4, 2, 3, 8],\n [7, -9, -1, 8, 3, 9],\n [7, -3, 2, -10, -1, 10],\n [9, 4, 6, -9, 8, -1],\n [7, -9, -4, -3, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 6, -10, -4, -9, 5],\n [0, -6, -8, 8, -7, 9],\n [6, -7, -1, 2, -9, -6],\n [5, 7, 2, 8, -2, -3]]\nB =\n[[0, 9, 9, -10],\n [-1, 6, 8, -1],\n [4, 1, -3, -8],\n [-7, 4, 9, 9],\n [-7, -6, -4, -9],\n [-1, -5, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1042", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 1, -3, -8, -9],\n [-4, 3, -7, -3, -1],\n [0, -7, 3, 0, -6],\n [-6, 1, -8, 0, -4],\n [-8, 10, 10, -1, -10]]\nB =\n[[-2, 10, 1, 7, -3, -5],\n [2, 3, -10, -4, 10, 1],\n [0, -5, -7, -10, 6, 6],\n [9, 10, 10, 2, -6, -9],\n [-1, -3, 2, -2, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1418", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -2, 10, 7, 6],\n [-4, -7, 3, -5, 8],\n [-3, -5, -6, 8, 8],\n [4, -8, -4, 2, 7],\n [6, 10, 7, -9, -3]]\nB =\n[[-7, -10, -9, 9],\n [-6, 5, 9, 3],\n [-10, -10, 10, -6],\n [6, 0, 8, 2],\n [-7, 6, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1531", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -2, 1, 1],\n [5, -10, 7, 3],\n [8, -6, 1, -2],\n [-2, -3, 6, -9],\n [-10, -6, 5, -7],\n [3, 2, -8, -7]]\nB =\n[[2, -9, 2, -7, 8],\n [7, 6, -10, 10, -6],\n [-9, 2, -1, -9, -6],\n [1, -8, 4, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2039", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, 6, 1, -6, -7],\n [8, 6, -3, -8, -9, 3],\n [-9, -3, -4, -1, 0, 5],\n [-6, 8, -6, 6, -7, 9],\n [-8, -1, 7, 8, 10, 0]]\nB =\n[[-5, -8, -7, -6, 2, 8],\n [-5, -2, -4, 3, 0, 6],\n [3, 4, 3, -9, 10, 7],\n [-8, 2, 5, 9, -3, 5],\n [-10, -10, -1, 8, -4, 1],\n [-4, -5, 4, -9, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -2, 0, -7, -7, -7],\n [-9, -5, -4, -2, 7, -9],\n [4, 2, 9, 3, -8, -2],\n [-8, 7, -6, -10, 4, 1]]\nB =\n[[-2, 7, -7, -10],\n [-7, 1, -2, 6],\n [-6, 4, 3, -9],\n [-3, 8, 2, 1],\n [-1, 8, 10, -7],\n [10, -8, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-281", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, 0, 6, -4, 6],\n [-10, -9, 2, -5, 5],\n [3, 10, 10, 4, -10],\n [-3, 3, -4, 0, 7],\n [3, 3, -7, -3, -5]]\nB =\n[[-10, 0, 5, 10, 5],\n [2, -9, -9, -3, -1],\n [8, -4, 0, 2, 8],\n [-5, 4, -2, -10, -2],\n [3, -9, 2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -6, -10, -3, -5],\n [1, 6, 6, 9, 5],\n [1, 9, 3, 2, 7],\n [-6, 9, 5, -9, 9]]\nB =\n[[2, 0, -8, -10],\n [8, 1, -7, 7],\n [10, -1, -2, -1],\n [-6, -10, 1, 3],\n [-2, -10, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-7, -1, -1, 6],\n [-9, 5, 8, 5],\n [-2, 6, -10, -2],\n [-7, -2, -7, 6]]\nB =\n[[2, -10, 0, 1],\n [-7, -5, -3, -10],\n [-2, -9, 9, -2],\n [5, -9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 4, -5, -6, -9],\n [-1, 1, -5, -9, 5],\n [7, 5, 5, 6, -3],\n [4, -4, -1, 0, 3],\n [6, -10, -9, 9, -2],\n [-1, -3, -2, 9, 4]]\nB =\n[[5, -5, -7, 4, -9],\n [4, -8, 5, -6, -5],\n [7, 4, 5, -3, -5],\n [7, 6, 8, 7, -9],\n [7, -4, -6, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 0, 7, 10],\n [-8, -9, -9, -7, -1, -1],\n [10, -10, -8, 5, 9, 5],\n [4, 7, -4, 8, -4, -5],\n [-8, -1, 7, -4, 6, 3]]\nB =\n[[6, 3, -8, 3, -1],\n [-5, 6, -9, 8, -9],\n [-3, -10, 9, 6, 9],\n [-10, -7, 8, -2, -6],\n [-6, -6, -6, -5, -5],\n [7, -10, -7, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-628", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 6, 1, 2, 3],\n [0, 6, -3, -5, 7, 0],\n [10, 4, -3, -9, 1, 6],\n [10, 1, -8, -4, 10, 3]]\nB =\n[[10, -2, 1, 7, 6, 4],\n [3, 8, -4, 6, 10, -3],\n [1, 4, 3, -2, -8, -2],\n [7, -6, 9, -8, -1, 4],\n [7, 4, -8, -9, -4, -3],\n [0, -10, 9, 0, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1353", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -5, 2],\n [1, 4, -9, -3],\n [8, -9, -9, -6],\n [-4, -4, -1, 10],\n [0, -10, 5, -3]]\nB =\n[[-5, -4, 1, -7, -1],\n [0, -6, 5, -2, -2],\n [0, -2, -1, 1, 4],\n [-6, -3, 4, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-9, 4, 1, -3, -10, -5],\n [-7, -9, -8, 7, 8, 9],\n [1, 4, -3, -4, -6, -1],\n [-2, -4, -4, -3, 2, 2],\n [-10, 5, 3, 0, -8, -5],\n [0, 6, -6, 0, 0, 9]]\nB =\n[[-1, 1, 1, -10, 0],\n [5, -3, -6, -5, 2],\n [-6, 7, 6, -10, -10],\n [-3, 1, 5, -5, -7],\n [3, -5, 8, 4, 6],\n [-5, -6, -10, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, -1, 10, 2, 2],\n [0, 4, 2, 6, -10, -7],\n [-6, 10, -1, -5, 4, 0],\n [-4, -5, -7, 3, 5, -7],\n [2, 1, 8, 5, -2, 10],\n [6, -2, -6, 5, -4, 2]]\nB =\n[[-4, -6, -9, 9, -3],\n [-1, 6, 10, 9, -1],\n [-6, 1, -2, 2, 7],\n [0, -10, 0, -10, -2],\n [8, -2, 0, 3, -3],\n [8, 7, 8, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-679", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 6, 4, -8, -9],\n [-3, 0, 7, -2, -3],\n [0, -6, -1, -7, 7],\n [-1, 1, -1, -9, -5],\n [-2, -1, 3, 0, -9]]\nB =\n[[4, 5, -3, 10],\n [3, -2, -4, -7],\n [5, -7, 10, -4],\n [-3, -5, 3, -6],\n [2, -10, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 6, -10, 0, -6],\n [3, -8, 2, 6, 10],\n [2, -8, -10, -10, 4],\n [-10, 2, -8, -7, 6],\n [3, -5, -10, -3, 9]]\nB =\n[[-9, 6, -3, -5],\n [-3, -5, -4, 1],\n [-5, -5, 2, -5],\n [-2, 0, -1, -1],\n [0, 6, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[1, -10, 7, -7, 3],\n [5, -2, 3, -9, 9],\n [3, -10, 2, 1, 8],\n [1, -8, -3, -9, -8],\n [-9, 5, 3, -7, -2],\n [-1, -5, 5, -3, -8]]\nB =\n[[-5, 8, 3, 6],\n [0, 1, -8, 9],\n [-2, -5, -10, -8],\n [-4, 1, 3, 5],\n [-3, 9, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-10, 5, 5, 0],\n [3, -1, 5, -9],\n [6, -9, 1, 0],\n [-9, 10, -2, 5],\n [-10, -5, -4, 5]]\nB =\n[[5, 8, 4, -9, 9, -10],\n [-10, -2, -8, 10, 10, 7],\n [-3, -5, 5, 9, 8, 2],\n [-3, 10, 8, 9, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 10, -5, -7, -4],\n [-8, -8, 7, -2, -2],\n [6, 9, 1, 6, 1],\n [10, 6, 10, -9, -1],\n [6, 3, 4, 8, 1],\n [-5, -7, -10, -9, 6]]\nB =\n[[6, 6, -9, 1],\n [-10, 6, -10, 10],\n [-4, 3, -5, -8],\n [-9, 0, -4, 6],\n [6, 8, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -7, 1, -7],\n [-1, -4, 4, 7],\n [-2, 6, -4, -8],\n [-9, 7, -6, -5]]\nB =\n[[5, -5, 10, -1, -5, 10],\n [-6, 0, -10, -1, -1, 8],\n [-2, -10, -10, 0, 9, 3],\n [2, 0, 9, 3, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -5, 7, 1, 6],\n [-2, -9, 7, -7, 8],\n [4, 7, 10, 0, 1],\n [0, -8, -7, -4, 5]]\nB =\n[[0, -1, 8, -4, -7],\n [5, 1, -7, 3, 5],\n [-6, 2, -7, -3, 5],\n [-4, -8, -4, -2, 6],\n [4, -5, 6, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-10, -1, -8, -8, 2, -7],\n [8, 2, 9, 5, 7, 2],\n [5, -1, -10, 5, 8, 10],\n [2, -2, -10, -2, -7, 4],\n [-8, 0, 0, 4, -1, 0]]\nB =\n[[-5, 5, -2, 4, -5],\n [-5, 7, 3, -10, 6],\n [2, 10, -6, -5, 4],\n [5, -5, -5, -4, -8],\n [5, 4, -7, 6, 5],\n [-8, 10, -3, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, 3, -4, 10, 8, -10],\n [-2, -8, 4, -1, -7, 1],\n [9, 9, -3, 5, 2, 8],\n [-8, 1, 5, -3, -1, 9],\n [4, -7, -3, -1, -7, -8]]\nB =\n[[-10, 8, 9, 7, 3, -8],\n [-1, 4, 3, 5, -1, 4],\n [-10, 4, -9, -6, 3, -3],\n [6, 8, 5, 4, -3, -10],\n [2, -6, -9, -3, -10, -7],\n [8, -10, -6, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2521", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 4, 2, 9, 6],\n [0, -2, 9, 9, -10, 7],\n [5, 2, -4, -10, -8, 6],\n [-3, 1, -6, -2, 3, -9],\n [6, 1, 7, 7, 7, 9]]\nB =\n[[-1, -9, 2, -6],\n [-6, -6, 0, -7],\n [9, -1, 4, -9],\n [-4, 2, -5, -6],\n [4, -10, 0, 6],\n [8, 9, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 1, -1, 10, -5],\n [7, 6, -9, 2, 3],\n [-4, 8, 6, -9, 0],\n [-2, -2, -10, 8, 1],\n [8, 3, -2, -9, 10]]\nB =\n[[5, -9, 9, -10],\n [-5, -9, 1, -2],\n [10, -2, 10, -5],\n [8, -8, -2, 3],\n [-2, 7, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-424", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, -3, 1, -9, 4, -10],\n [9, 10, 0, -7, -5, 10],\n [6, -10, 9, 10, 7, 1],\n [-1, 3, 1, 1, -9, 4],\n [-1, -4, -3, -4, -2, -3],\n [-8, -5, -1, -7, -7, 6]]\nB =\n[[-5, -8, -2, 5, 2, 7],\n [5, -2, 9, -9, 8, 5],\n [10, 9, -1, -10, 1, 6],\n [2, 10, 10, 2, -9, 6],\n [3, 7, 7, 0, 6, 9],\n [1, -2, 8, -7, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-422", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 3, 5, -4],\n [5, -8, 8, -3],\n [-10, 1, 4, 3],\n [-7, -1, 7, -5]]\nB =\n[[-6, 2, -5, 10, 1, -1],\n [-5, -5, -1, -2, -9, 9],\n [1, 8, -9, -4, -6, -4],\n [-8, -10, 10, -10, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1487", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -2, -6, -8, -3, -4],\n [-6, 0, -6, -2, -4, -8],\n [5, 9, -8, -1, -9, 1],\n [-2, -10, 2, 4, -9, -7],\n [-10, -7, -9, -1, 7, 5],\n [2, 3, 5, -1, -9, 2]]\nB =\n[[-2, -1, -1, 4],\n [-10, -6, 1, 1],\n [-4, -9, 0, -7],\n [0, -4, 2, 8],\n [10, 4, 5, -10],\n [-10, 10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -3, -9, -5, -10],\n [-6, -1, 0, 8, 8],\n [-7, 1, -7, -2, -7],\n [5, 9, 9, 8, 9]]\nB =\n[[-7, 8, -6, 9, 7, 4],\n [-1, 7, -4, -5, -4, -1],\n [-4, 4, 10, 0, -7, -5],\n [0, 4, -1, -2, -6, 9],\n [-2, 3, 7, 6, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 8, 4, -3],\n [7, -2, 8, 4],\n [2, -4, 2, -2],\n [6, -10, 8, -3],\n [-4, 10, -10, -10],\n [7, -2, -6, -9]]\nB =\n[[8, -5, 3, -8, -3, 6],\n [-4, 7, 8, 2, 4, 9],\n [6, -8, -6, 4, -8, -4],\n [-2, 4, 4, -4, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, -6, 4, 8, 8],\n [3, 5, 7, -3, 9],\n [6, -8, 6, -3, 2],\n [-3, -2, 9, 1, 9]]\nB =\n[[9, 0, 6, 9],\n [2, -3, -2, -9],\n [-6, -6, 5, 7],\n [-10, 0, 2, 0],\n [6, 10, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 4, 0, -2, -3],\n [10, 0, 4, 9, 3],\n [-1, -2, -4, -1, 5],\n [6, 5, -9, 4, 3],\n [-5, 9, 1, 2, -3],\n [-9, 5, -10, -9, 4]]\nB =\n[[-1, 8, 4, -8, 8, 7],\n [0, 3, 0, 9, -10, -7],\n [5, -5, 6, -2, 5, 1],\n [6, 4, -10, -4, 8, -3],\n [0, -2, -1, -1, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, 8, -9, 4, 5],\n [4, 1, -6, 7, -7, 2],\n [6, 3, 3, -10, 2, 3],\n [2, 1, 7, -10, -9, 3],\n [7, -3, -9, 10, 1, 1]]\nB =\n[[-3, -9, -7, -2, -8],\n [1, 2, 8, 0, -4],\n [-1, -9, -5, -9, -7],\n [10, 9, -5, -8, -3],\n [-1, 10, 0, -6, -2],\n [1, 6, 3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1490", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, 1, -2, -5],\n [10, -9, -10, -4, -5],\n [-8, 9, -8, 3, -1],\n [-8, 2, -1, 3, 5],\n [4, -1, 6, 4, -1]]\nB =\n[[-6, 10, 10, 7, -10],\n [-7, -6, -3, -8, 7],\n [-6, -8, 0, -4, 4],\n [9, 9, -3, -3, -8],\n [6, 4, 1, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -1, 3, -6, -6],\n [4, -9, 1, 4, -1],\n [-3, 9, 10, 5, 2],\n [-2, 8, 2, -2, -4]]\nB =\n[[-8, 7, 0, 4, 10],\n [-2, 8, 6, 0, 7],\n [-1, -3, 1, 8, -7],\n [5, -10, 1, -8, 3],\n [-10, 0, -9, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "868", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[1, 5, -4, 8, 3, 3],\n [-7, 6, 3, 6, -7, -3],\n [1, 4, -9, 10, 0, 8],\n [2, 8, -8, 3, 5, 5]]\nB =\n[[9, 5, -4, 2, 2],\n [1, -4, -10, 4, 1],\n [7, -1, 10, -7, -5],\n [-1, -4, 0, -5, -2],\n [-3, -4, -4, -3, -9],\n [-4, 8, 4, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -7, -7, -5],\n [8, 1, 0, 1],\n [-6, 8, -10, 1],\n [8, 2, -6, 8],\n [-3, 2, 8, 7]]\nB =\n[[-1, 6, 2, 10, 9],\n [-4, -7, -4, -6, -1],\n [6, -4, 2, -8, -1],\n [-8, 8, 3, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -7, -4, 5, 7],\n [-8, 10, 5, 7, 10],\n [3, 4, -1, -1, -5],\n [-7, -6, 6, -7, 0],\n [-4, 10, 1, -7, -10]]\nB =\n[[7, -4, 4, -7, 6],\n [1, -6, -3, -9, 0],\n [6, 2, -1, 1, -10],\n [10, 7, -6, -8, -6],\n [6, 1, 9, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[9, -3, 8, 2, 6, 4],\n [-1, -9, -1, -4, 0, -7],\n [-3, -7, 8, 6, -9, -5],\n [8, 9, 9, -8, 1, 8],\n [8, -6, -2, -7, -3, -9],\n [3, 9, 7, 2, -4, -4]]\nB =\n[[-9, 3, -10, -6, -9],\n [-10, 6, -8, -9, 0],\n [3, -10, 3, 7, -10],\n [3, 4, 6, 10, -7],\n [4, 6, -6, 3, -2],\n [-8, -8, 6, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -6, 7, 3],\n [-10, 1, -9, -10],\n [9, -1, -3, -6],\n [-2, -6, -4, -9],\n [-6, 9, -9, -6],\n [-5, 0, 8, 8]]\nB =\n[[-8, -10, 8, 6],\n [9, -7, 7, 5],\n [-8, -4, 9, 9],\n [-2, -7, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -5, -6, 9],\n [-7, -3, -9, -1],\n [-1, -4, -1, -4],\n [4, -6, 0, 10]]\nB =\n[[-1, -6, 3, -9],\n [-2, 2, -3, -8],\n [6, -8, 6, -6],\n [4, 3, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 9, 5, -2],\n [-7, -7, 0, -10],\n [7, 4, -1, 5],\n [1, 2, 10, -1],\n [-7, -9, -1, 0]]\nB =\n[[5, 2, 5, -9],\n [8, 8, 4, -9],\n [-9, 1, -8, 10],\n [-6, 0, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[3, 5, -9, 4, 0],\n [8, 6, -8, 1, 0],\n [5, 10, 6, -2, -4],\n [1, -4, 7, -5, -5],\n [8, -5, -8, 8, -8]]\nB =\n[[-8, 5, -7, -8],\n [-8, 5, -6, 8],\n [6, 10, 6, 5],\n [8, -1, 2, 0],\n [6, -1, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -1, 7, -8, 6],\n [8, 7, -2, 3, 5],\n [-5, 1, 1, 4, -10],\n [3, -3, 1, 5, 6]]\nB =\n[[6, 3, -7, 9],\n [2, 2, 0, 4],\n [-7, 9, 9, -7],\n [-3, 9, -10, -2],\n [9, 9, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[8, 9, -6, 2],\n [3, 1, 7, -4],\n [1, 5, -5, -4],\n [0, -5, -9, -6]]\nB =\n[[-1, -3, -1, -10, 5],\n [-10, -10, 4, -2, -6],\n [0, -6, -6, -3, 8],\n [9, -10, -5, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, -2, -4],\n [10, -2, 6, 2],\n [5, -8, 3, -5],\n [2, 5, 8, -3]]\nB =\n[[10, -7, 8, -9, 3],\n [0, -1, -7, -1, 3],\n [-10, -4, 8, 9, 0],\n [9, 7, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -8, 5, 8, -9, -10],\n [-2, -10, -4, 5, 7, -6],\n [-2, 5, -8, -7, 6, 9],\n [-10, -6, -4, 2, -5, -6],\n [6, -4, -6, -3, -6, 3],\n [-4, -7, -8, -6, 8, -8]]\nB =\n[[-7, 6, 3, -4, -6, 8],\n [9, 1, -5, 1, -8, -6],\n [5, -4, 8, -5, -4, -4],\n [-5, -9, -4, 0, -5, 6],\n [-9, -6, 2, -6, 2, 7],\n [-4, -7, -2, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1955", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 0, -8, 5, 10],\n [-4, 9, 3, -6, -4],\n [0, 0, -3, -7, -2],\n [2, 4, -7, -3, -7],\n [9, 6, -5, -1, 2],\n [-7, -1, 7, -7, 2]]\nB =\n[[4, 9, -1, -4, -8, -5],\n [10, 10, 6, -6, 2, 9],\n [-9, 8, 5, 1, -9, -9],\n [0, 4, -1, 8, 1, -1],\n [0, 0, 0, -10, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "474", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 2, -1, -5, -8, -8],\n [0, 1, 0, -4, 8, -3],\n [-9, 4, -5, 9, 9, 4],\n [0, 10, 9, 8, -6, -2]]\nB =\n[[-1, 3, -10, 7, 7, -8],\n [8, -10, 7, 10, -4, 9],\n [4, -4, -10, 5, 4, -6],\n [-10, 3, -5, 1, 0, -7],\n [4, 8, 7, 0, 8, 2],\n [5, -2, 5, -2, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -5, -2, 2, 3],\n [-6, -9, 4, 7, -7],\n [8, 1, -10, 4, -7],\n [7, 9, -5, 8, 7]]\nB =\n[[-4, 6, 4, 0],\n [8, 3, 6, -1],\n [-6, -10, -3, -9],\n [7, 8, -8, -6],\n [-7, 7, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 5, -6],\n [-3, 3, 10, -3],\n [-1, -1, 9, -8],\n [7, -4, -3, 9]]\nB =\n[[-2, 9, -4, 1, -5],\n [3, -6, -8, 1, 3],\n [-6, 0, 10, -1, -2],\n [-10, 5, -10, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -7, -9, 6, 7],\n [9, -3, 3, 5, -8],\n [4, -10, -2, 1, -7],\n [9, -4, -1, 5, -6],\n [10, 0, -9, -8, 0]]\nB =\n[[-2, -1, 2, -6, -8, 0],\n [1, 5, 4, 3, -5, -10],\n [8, -9, -8, -5, -9, -8],\n [4, -9, -8, -4, 1, -6],\n [-1, 2, 5, 6, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-582", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-10, 7, -1, 1],\n [7, 3, -1, 0],\n [-9, -1, -3, 0],\n [-10, 5, -6, 2]]\nB =\n[[0, -2, 10, -10, 0],\n [8, -5, 9, 7, 4],\n [-4, 2, -2, -6, 5],\n [3, 8, -9, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -10, -5, -3, 3],\n [-7, -4, 6, -9, 8],\n [8, -1, -3, -4, 3],\n [10, 6, 2, 5, 7],\n [8, -4, -1, 7, -1],\n [-8, -4, 1, 2, 9]]\nB =\n[[8, 2, 3, -4],\n [7, 0, -4, -8],\n [3, 2, -7, 6],\n [3, 7, -1, -1],\n [-8, -3, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -6, -5, -3],\n [9, 3, -3, -10],\n [6, 9, -8, 7],\n [8, 9, 1, -8],\n [8, 10, 10, 1],\n [-9, 4, -10, -3]]\nB =\n[[9, -2, 2, -7, -1, 7],\n [-4, -9, -1, -3, 6, -6],\n [-9, 6, 8, 10, 5, -1],\n [1, -1, -6, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2220", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-10, -1, 3, -9, 3],\n [-8, -10, -10, 0, -1],\n [3, -2, -10, -5, 9],\n [-6, -9, -9, -5, 2],\n [-9, -7, -1, 5, -4]]\nB =\n[[-1, -9, 1, -4],\n [-9, 10, -8, 6],\n [2, 7, -1, 5],\n [8, 5, 7, -2],\n [0, -7, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 9, 6, 3, -10],\n [-1, 0, -1, 9, 9],\n [10, -7, 9, -3, 4],\n [-4, 6, -3, 3, -10],\n [10, -1, 5, -3, 7],\n [-6, 7, 6, 5, 5]]\nB =\n[[-10, -1, -10, -10, -3],\n [2, -3, -3, -9, -5],\n [-1, -6, -9, 7, 4],\n [2, -2, -8, 7, -2],\n [-3, -10, 6, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-860", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, 9, 4, 9],\n [7, -5, -2, -7, 10],\n [5, -1, 6, 10, -8],\n [4, -5, 2, 2, -9]]\nB =\n[[-4, -8, -2, 8],\n [4, 6, -1, 9],\n [-5, 6, 8, 3],\n [-10, 8, -6, 3],\n [9, 10, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1309", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -5, 4, -6, 10, 9],\n [-5, -8, 0, -3, 8, 4],\n [-1, 1, 1, -9, -5, -6],\n [-7, -8, -1, -8, -10, 5],\n [-6, 0, 10, -5, -5, -9],\n [-2, 3, 6, 9, -10, -1]]\nB =\n[[4, 10, 4, -4, -6],\n [2, 8, -9, -9, 3],\n [1, -10, 5, 6, -4],\n [3, -2, 6, 1, -7],\n [4, -8, 4, 5, 4],\n [-8, -2, -2, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-383", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -10, -1, 7, 7, -3],\n [7, 10, -6, -3, 1, -2],\n [-4, 9, -3, 3, 3, 7],\n [-2, 5, 10, 7, -3, 4],\n [3, -2, -8, -9, -7, -9]]\nB =\n[[-6, -2, 2, -9],\n [-4, 10, -8, 10],\n [-8, -2, 5, 9],\n [-1, -5, 8, 1],\n [-4, 1, 7, -8],\n [1, -9, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1953", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 5, -5, -7],\n [-2, 5, 9, -3],\n [6, 5, 9, 5],\n [4, 5, 5, 3],\n [2, -1, -8, -6],\n [-3, -4, 0, 3]]\nB =\n[[-3, -3, 9, 10, 6],\n [-4, 0, -9, -7, 5],\n [-5, 7, -9, 7, -2],\n [9, 10, -10, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[7, 10, -3, 0, -6, 9],\n [7, -2, -1, -1, 10, 6],\n [5, 4, 6, -10, 9, 8],\n [-9, -2, 7, -6, 4, 5]]\nB =\n[[-7, 7, 2, 4],\n [-8, -1, -3, 8],\n [-9, 3, -6, 2],\n [2, -3, -8, -10],\n [3, -5, 1, -8],\n [2, 2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -4, -5, -6, 0],\n [-8, -10, 1, -3, -7],\n [-7, -8, 1, -8, -2],\n [0, -5, 10, 5, -10]]\nB =\n[[3, -2, 9, 1],\n [5, -5, 3, -2],\n [-3, 5, -5, -2],\n [-4, 10, 10, -1],\n [-10, 3, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, -5, -4, 2, -5, -3],\n [10, -4, -3, -4, 2, 7],\n [6, -5, 8, 5, 1, -6],\n [-6, -4, -3, -3, 4, -6]]\nB =\n[[6, -5, -4, 3, 8],\n [1, -1, 6, 5, 9],\n [4, -5, -10, 3, 8],\n [9, 7, 9, -7, -1],\n [4, 6, 9, -3, 4],\n [10, 7, 8, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 10, 7, 0, 9],\n [-4, 8, -1, 2, -2],\n [-5, 2, -2, 8, 0],\n [10, 2, 8, -2, 10],\n [-2, -6, -6, 1, 8],\n [4, 7, 8, 7, -10]]\nB =\n[[8, 7, -7, -1, 6, -5],\n [6, 9, -5, -7, 3, 1],\n [-9, 2, 0, 9, 9, 3],\n [2, -9, -1, -6, 1, -10],\n [5, 0, -7, 0, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2186", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[7, 3, 7, -1, -7],\n [-5, -5, 10, -8, 6],\n [-6, -1, 6, 0, 8],\n [-6, 1, 3, -9, 0],\n [9, -3, -9, -7, 7],\n [-5, 7, -9, 5, 0]]\nB =\n[[1, -7, 2, 0, 10],\n [9, -10, -9, 1, 4],\n [8, -10, 2, 8, -9],\n [3, 7, 4, -6, -6],\n [10, -5, 9, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 8, 0, 1, -3, -1],\n [3, -2, -5, -5, 2, 9],\n [-6, 7, -7, 2, -1, -5],\n [10, 1, -4, 4, 4, -3],\n [4, 4, -8, -1, -2, -7],\n [-5, -3, 3, 9, 4, 0]]\nB =\n[[-9, 5, 0, 9, -3],\n [10, 2, -4, 5, -1],\n [0, -8, -2, 7, -10],\n [7, 3, -5, 2, 5],\n [10, 9, -2, -2, 1],\n [4, 5, 7, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[5, 8, 6, 2, -3, -4],\n [3, 10, 0, 3, -7, -3],\n [-5, -6, -10, -3, -9, 2],\n [-8, -8, -1, -1, -5, 8]]\nB =\n[[-10, -3, 1, 1, -4],\n [3, 9, -5, -2, 5],\n [1, 9, -2, -7, -4],\n [5, -8, 8, -9, -5],\n [7, 0, 7, 6, -1],\n [-9, 9, -5, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 2, 3, 8],\n [-4, -5, -7, -10],\n [2, -6, -5, -10],\n [1, -9, -7, 7]]\nB =\n[[3, -4, 6, 0, -2],\n [-10, -2, -8, -1, -6],\n [10, 6, -7, 0, -7],\n [-4, -3, 9, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 9, 10, 1],\n [-1, -6, 10, -9],\n [-2, 10, 8, 2],\n [-5, -2, -10, 8],\n [-6, -4, 3, 5],\n [-7, -6, 7, 8]]\nB =\n[[-9, 6, -4, 8, -9],\n [3, 1, -4, 10, -4],\n [-2, 8, 1, 0, 4],\n [-6, -6, 8, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 1, -8, 3],\n [-10, -6, 1, 4],\n [-2, -4, 7, -7],\n [2, 1, -7, 8],\n [10, -6, -2, 1],\n [-6, 5, -6, -1]]\nB =\n[[-3, -10, 4, -2, -5],\n [-5, -6, -6, -7, 10],\n [-1, -10, 7, -2, 4],\n [-10, -1, -7, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -2, 10, 6, -9, 0],\n [6, -6, -10, -2, 8, 0],\n [9, -4, -5, 1, 8, 5],\n [1, 5, -9, 7, 7, -8]]\nB =\n[[7, 10, -7, -1],\n [5, 6, 8, 8],\n [2, 6, -7, 3],\n [9, -2, 2, 8],\n [0, -10, 2, -6],\n [10, 0, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -2, -3, 2, -9],\n [3, -7, 8, -3, -7],\n [4, 8, 4, -9, -2],\n [8, -2, 0, -9, 0],\n [8, 7, 7, 10, 5],\n [-1, 7, -1, -2, -9]]\nB =\n[[10, 4, 5, 9, -7, -10],\n [3, -5, 3, 4, -10, -4],\n [5, -7, 9, 3, 3, 6],\n [-2, 5, 8, -10, -2, -5],\n [-5, 7, -7, -7, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-1, 4, 10, -3, -9, 6],\n [1, 3, 9, 0, 2, 10],\n [-7, -6, -3, 10, -7, -7],\n [5, -4, -4, 6, 5, 7],\n [2, -4, 10, 2, -9, 9],\n [-2, 2, 4, -7, 7, 10]]\nB =\n[[-1, -3, -4, -10, -2],\n [4, -5, -10, 5, -8],\n [8, -3, -2, -7, -3],\n [9, -3, 10, 6, 5],\n [2, 8, -7, 6, -8],\n [3, -8, -1, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -1, -3, 3, -2, -8],\n [0, 2, -7, 9, 10, 9],\n [-4, -1, 10, 2, -3, 4],\n [2, -5, -1, -9, 10, -5],\n [6, 8, -9, 7, -2, 0]]\nB =\n[[9, -4, 2, -4],\n [-2, 6, -10, 6],\n [-1, -7, 10, -10],\n [-9, 7, -1, 7],\n [6, 3, 0, -2],\n [-9, 10, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -4, 0, -8, -2],\n [1, 1, -6, -2, -8],\n [6, 9, 4, 2, 6],\n [-8, -8, 4, 9, 5],\n [6, -10, 9, -7, -3],\n [0, -4, 10, 4, -1]]\nB =\n[[-7, 6, 6, -6, 5],\n [0, 9, 7, 3, -5],\n [10, -10, 4, 3, -7],\n [-3, 2, -7, -6, 4],\n [-1, -4, 1, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -10, 7, -2],\n [-2, -3, 0, 0],\n [0, 8, -7, -7],\n [-5, 1, 2, -10]]\nB =\n[[-4, -2, -10, 1, 1],\n [-2, -8, 5, 5, 2],\n [-4, 5, -9, 7, -8],\n [1, -1, 5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-8, 7, 5, 3, 0, -7],\n [-9, 4, 6, -10, 5, 8],\n [-5, 9, -3, -1, 3, 8],\n [-5, 3, 2, 2, 8, 0],\n [9, -3, 8, 1, 0, 2]]\nB =\n[[-8, 1, 7, -5],\n [10, 8, 9, 9],\n [7, -3, -8, -2],\n [8, 1, 2, -8],\n [-5, -2, -5, -9],\n [1, -6, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 8, 4, 1, -6],\n [10, 7, -9, 8, 8],\n [5, -6, -9, -10, -7],\n [7, 3, -6, 8, 1],\n [-4, -3, 5, 3, -9],\n [-1, -1, 1, -4, -10]]\nB =\n[[-6, 5, 3, -3],\n [-6, 2, 3, 2],\n [7, 2, -1, 5],\n [-4, -5, 2, 10],\n [6, -3, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[4, -9, 1, -6],\n [-5, -2, 4, -9],\n [-2, -7, -9, -10],\n [-3, 2, -6, 5]]\nB =\n[[-6, 8, 5, -10, 9],\n [-4, -8, 4, 9, -6],\n [-8, -2, -8, -1, 10],\n [-2, -3, -4, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -10, -2, -5, -6],\n [1, 3, 0, -9, 3],\n [2, -4, 3, -7, -9],\n [-9, 9, 9, 7, -9],\n [-9, 2, 10, 4, -3],\n [-7, -10, -8, -8, -7]]\nB =\n[[-8, -2, 8, -2],\n [-7, -7, 6, 10],\n [10, 10, 4, 3],\n [7, -10, -3, -3],\n [4, 8, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, 3, 0, 1, 3, 4],\n [3, 2, -8, -5, 4, -7],\n [-9, 8, 8, -9, -1, 0],\n [0, -7, -2, 8, -6, 10],\n [4, -2, -9, 6, -8, 6]]\nB =\n[[-1, -5, -3, -1, -6],\n [1, 7, 10, -8, 9],\n [-9, 1, -9, 0, -1],\n [2, -4, 9, 0, -5],\n [-1, 10, 6, -4, -9],\n [-2, -5, -5, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 4, -3, 4, 6, -9],\n [3, 7, -2, -9, 8, 0],\n [-6, -3, 10, -6, -9, -4],\n [-6, -9, 5, -4, 4, 3],\n [-8, 3, 9, 6, 1, 7]]\nB =\n[[-5, -6, 3, 7, -9],\n [10, 1, 7, -7, 1],\n [0, -3, 10, 6, -3],\n [0, 8, 8, 9, -7],\n [9, 8, 9, 7, -8],\n [-9, 2, 9, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -6, 5, 3, 4],\n [9, 7, -10, 5, -5, 10],\n [-2, -8, -5, -2, -2, 6],\n [2, 10, -7, -4, -7, 3]]\nB =\n[[-8, 8, 1, -7, -10],\n [-4, -5, -2, 6, 10],\n [-6, -5, 3, 9, 5],\n [-3, -1, -1, -6, 3],\n [-1, 10, 5, 4, 8],\n [4, -6, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-728", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -3, 7, -10, -2],\n [-6, -3, 8, 5, -8],\n [7, 7, 0, 6, 2],\n [-10, 3, 6, -2, -6]]\nB =\n[[10, 5, -5, -8, 8],\n [5, -9, -2, 0, 2],\n [-7, 1, -6, 10, 0],\n [-6, 4, 2, 4, 1],\n [-10, 7, 0, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, 3, 1, -9],\n [-5, 0, -2, 6, 3],\n [10, -10, 8, 5, -2],\n [1, 2, -10, 3, 2],\n [-2, 3, -10, -6, 1],\n [5, 0, 5, -6, 9]]\nB =\n[[-6, 3, -4, -4],\n [-4, -5, -5, 8],\n [6, -9, 4, -8],\n [6, 1, 8, -2],\n [-5, 4, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[7, -6, -8, -1],\n [7, -6, -10, 5],\n [7, 10, 8, -10],\n [2, 9, -8, -6],\n [-7, -10, 5, -4],\n [4, -6, -7, -10]]\nB =\n[[-5, -8, 9, -7, 10, -1],\n [7, -4, 3, 2, 1, -6],\n [7, 4, 5, 10, 4, -3],\n [-4, -2, -2, 8, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 6) of the product of the following matrices:\nA =\n[[-7, 5, 1, 4],\n [3, -6, 2, 7],\n [-1, -1, 2, 0],\n [-8, -6, -5, 3],\n [10, 8, 8, -10]]\nB =\n[[0, -5, 5, -1, 10, 10],\n [-9, -5, 0, 4, -4, -6],\n [0, -10, -8, 7, -4, 9],\n [1, -9, 7, -8, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, -6, -7, -1],\n [-2, -9, 7, -2],\n [4, 1, -4, -7],\n [-9, 0, 6, 8],\n [2, 0, -9, -6],\n [-5, -5, -3, -2]]\nB =\n[[-6, -4, -10, -9, 2, -3],\n [-6, 3, 6, 4, -3, 7],\n [-7, -1, 2, -9, 0, -4],\n [-5, 10, 5, -6, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 1, -9, -3, 0],\n [5, -7, 5, 9, -6],\n [8, 3, 6, -8, 0],\n [-6, -6, -8, 8, 6],\n [-2, -9, 9, 0, 7],\n [4, -8, 4, -6, -1]]\nB =\n[[8, 7, 2, -4, -3],\n [-6, 3, 10, 5, 7],\n [10, 10, 10, -8, -2],\n [2, -9, 1, -9, -9],\n [-3, 7, 2, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 1, 2],\n [1, 1, -8, -2],\n [-5, 7, 2, 8],\n [-1, -5, 5, 7],\n [0, 5, -9, 10],\n [-9, -1, -4, 3]]\nB =\n[[1, 9, -3, -7, -7, 8],\n [-9, -2, -1, 4, -3, 9],\n [0, -5, 5, -2, 7, -8],\n [-10, 4, -9, 2, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 6, 8, 6, 9, 1],\n [9, 1, 1, -4, -6, 4],\n [4, 1, 3, -8, -10, 6],\n [4, 0, -9, 8, -6, -3]]\nB =\n[[-9, -3, -9, 3, 2, -5],\n [6, 3, 1, 2, -6, -5],\n [6, 6, -8, -2, 1, 10],\n [-7, 1, -8, -9, -6, 9],\n [5, 10, -1, 7, 10, 3],\n [-3, -1, 7, -1, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-832", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -6, 6, -1],\n [4, 7, 3, 8],\n [-4, -4, 2, -4],\n [-6, -4, 2, 0],\n [9, 10, 3, 9]]\nB =\n[[10, -9, 9, 1, 0, 0],\n [-10, 9, -10, -6, -1, -4],\n [-6, -6, 8, 9, 0, -1],\n [7, 9, 9, 10, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "954", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-7, 1, -9, 4, 10],\n [5, 0, 2, 7, -3],\n [-10, -10, -4, 5, -6],\n [3, 2, -5, 0, 1],\n [-7, -3, -8, 2, 2],\n [-5, -2, -2, -5, -7]]\nB =\n[[-5, 10, 7, 0, 7],\n [1, -6, -2, 1, -6],\n [-7, -1, 10, 4, -9],\n [8, 6, -7, -8, 8],\n [-7, 1, 4, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, -6, 10],\n [9, 9, -4, 10],\n [-6, -9, -5, 3],\n [-8, 9, 4, 1]]\nB =\n[[3, 10, -9, -6],\n [2, -7, 4, -3],\n [8, -3, 7, -5],\n [9, 0, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, -5, 4],\n [-9, 9, 4, 10],\n [1, 1, -8, 4],\n [-9, 9, -10, -4],\n [-7, -3, 7, 8],\n [-5, -5, -5, -5]]\nB =\n[[10, -7, 0, 7],\n [-10, 1, -6, 6],\n [-3, 4, -10, -4],\n [-2, 0, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, 3, -2, 10],\n [2, 10, -4, -4, 5],\n [-6, -9, 4, -5, -4],\n [-7, 3, 0, -8, -4],\n [-7, -7, 5, 2, -3],\n [1, -7, -8, -3, 1]]\nB =\n[[-8, -7, -3, -9],\n [5, -3, 2, -7],\n [-3, -10, -6, -5],\n [9, 1, 6, 6],\n [0, -10, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 6, 3, -6],\n [-4, -9, 2, 8],\n [-2, -1, -8, 10],\n [1, 10, 8, 7],\n [10, -7, 3, -7]]\nB =\n[[9, 8, -6, 1],\n [-3, -7, -6, 6],\n [8, 2, 8, -3],\n [5, -6, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -2, -2, -9],\n [-8, -10, -7, -10],\n [-9, -2, -4, 9],\n [1, -2, 1, 6]]\nB =\n[[9, -3, 1, 3],\n [7, -7, 6, -5],\n [9, 7, 9, -5],\n [3, 8, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-245", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, -9, 1, 4, 7],\n [-6, 1, 9, -4, -3, 1],\n [-4, -9, 6, -7, -6, -5],\n [-5, -5, 9, 10, -4, -8],\n [-2, -4, 7, 6, -1, -9]]\nB =\n[[-2, -10, -9, 1, -8],\n [8, 0, 9, -4, 0],\n [3, -9, 6, -1, 5],\n [10, -10, -4, -6, 4],\n [-8, -6, -10, 9, -10],\n [4, -3, 5, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[10, 2, 7, -8, 0],\n [-5, 2, -2, -9, -2],\n [5, 0, -5, 1, -6],\n [9, -5, 4, 8, -3],\n [0, -5, -6, 1, -5],\n [2, 0, 2, 9, -2]]\nB =\n[[-7, -2, -2, -2, -9],\n [-5, 3, -9, 7, 8],\n [0, 5, 9, -2, 9],\n [-5, 6, 0, 1, 1],\n [-1, 0, -10, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 9, 6, -5],\n [-10, 10, 6, -9],\n [8, 2, -4, -6],\n [6, 0, 4, -10],\n [0, 6, -6, 5],\n [5, -8, -10, -1]]\nB =\n[[-9, -9, -9, -7, -3, 1],\n [-10, 2, 0, -7, -3, 5],\n [-4, -9, 2, 0, 2, 5],\n [1, -10, -10, 5, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-567", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -2, -8, -3, 9, 2],\n [6, -9, 7, 4, 2, 6],\n [-10, -5, 7, -2, -7, -3],\n [-8, -5, -8, 3, -3, -10],\n [6, 10, -2, 6, 2, 4],\n [-5, -4, -8, 7, -1, 4]]\nB =\n[[-9, -8, 9, -10, -7, 6],\n [-4, 5, -3, -5, 1, 8],\n [-4, 7, 1, 1, 4, 4],\n [-7, 5, 0, -3, -1, -9],\n [-3, 10, 7, 10, 6, -10],\n [-2, 4, -10, -10, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 2, 3, 10, -6, 2],\n [-5, 3, 5, 8, 6, -5],\n [-4, 10, 10, 8, 3, -4],\n [-7, -3, 8, 0, 6, 2],\n [-3, -7, -1, 1, 8, 3],\n [1, -4, -5, -1, 9, 2]]\nB =\n[[7, -5, -8, -3, 5],\n [3, -5, -5, 1, 5],\n [6, -3, 7, 7, -1],\n [-5, -9, 5, -6, 0],\n [8, 0, 9, -4, 0],\n [2, 5, -10, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 1, -3, -1],\n [-5, 3, 8, -3],\n [-4, -5, 10, -7],\n [6, -2, -6, 0]]\nB =\n[[1, 6, 6, -10, 5],\n [-10, 1, -8, -9, 6],\n [10, 10, 4, 3, 4],\n [-6, 8, 2, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 7, 9, -1],\n [0, 10, 7, 0],\n [-8, 8, 6, 4],\n [10, 4, -8, 1]]\nB =\n[[6, 4, 2, 9],\n [9, -4, -9, -3],\n [-10, -10, -2, -5],\n [9, -1, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, -4, -2, 0, -10],\n [-8, 6, 10, -7, 10, 6],\n [-1, 10, -7, -9, 1, -5],\n [-9, -1, 10, -9, -8, -3],\n [4, 4, 10, 8, -9, -5]]\nB =\n[[2, 10, -1, -4, 2, -6],\n [10, 4, 10, -10, -9, 9],\n [9, -8, 6, 6, 8, 4],\n [8, -7, 0, -6, 1, -8],\n [0, 3, -5, -7, 4, 7],\n [-4, 7, -6, 10, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "995", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-10, 10, 1, -6],\n [9, 6, -7, 3],\n [-8, 5, 4, -5],\n [6, 8, 2, 8],\n [7, 9, -9, 5]]\nB =\n[[-9, -4, -9, 7, 4, 7],\n [10, 10, -1, -7, -4, 7],\n [0, -4, -5, -5, 7, 1],\n [3, -5, 0, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -9, 0, 0],\n [-4, 7, 2, -4],\n [6, 7, -4, 0],\n [2, -5, 5, 9],\n [7, -10, 5, -6],\n [8, 6, -3, 0]]\nB =\n[[4, 1, 3, 4, 0, -5],\n [8, 6, 8, 1, 5, -7],\n [-6, -7, 7, -4, 10, -6],\n [-7, 5, 10, -4, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -1, 3, 10, -3],\n [1, 0, 10, 7, 1],\n [6, -1, 7, -4, 6],\n [-3, -2, 9, -5, -6]]\nB =\n[[10, -2, 4, -2, 5],\n [-6, -10, 3, -5, -3],\n [-8, -4, -6, 8, -9],\n [-5, -7, 8, 0, -10],\n [-7, 5, 4, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1173", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 6, 1, -10, -9],\n [-8, 8, -7, -3, 10],\n [-8, -3, 4, 5, -1],\n [-8, 2, -7, 8, 4],\n [2, -4, 7, 1, 1],\n [9, 10, -2, 2, 2]]\nB =\n[[-2, 2, 4, 3],\n [-6, 2, -7, -7],\n [6, 6, -5, -5],\n [-8, -7, 8, -6],\n [10, 10, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, -6, -6, 0],\n [2, 4, -2, 7, 3],\n [1, -3, 4, 5, 9],\n [-8, 2, -9, -8, -7],\n [-7, -6, 3, -1, -8],\n [9, 1, 6, 7, 6]]\nB =\n[[0, -3, 2, 4, -10, -3],\n [-5, 4, 10, 5, 7, -8],\n [-3, -9, -8, 7, -10, -1],\n [4, -3, 1, 1, 3, -6],\n [-10, 1, -6, -7, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-1, -10, -8, 1],\n [-7, -1, 9, -6],\n [-7, 10, 6, 6],\n [-2, -3, -3, 10],\n [9, -7, 4, 2]]\nB =\n[[-7, 1, -3, 2],\n [8, 1, -9, 8],\n [-5, 3, 8, -4],\n [5, 5, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, 0, 5, -10],\n [-9, -4, 10, 0, -2],\n [9, -2, 3, 3, 9],\n [-8, -9, -5, -7, -6],\n [-10, 0, -8, -2, 3],\n [2, 0, 8, 5, -1]]\nB =\n[[9, -3, -6, 2, -3],\n [-5, 5, 8, 8, 8],\n [-10, -5, 6, -8, 10],\n [-7, 3, 10, 5, -9],\n [-7, 5, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -10, -3, -2, 6, 7],\n [-4, -9, 8, 9, -7, 9],\n [-10, 1, 3, 9, -9, 9],\n [-3, -5, 7, -3, -5, 8],\n [6, 8, 5, 6, 8, 5],\n [4, -8, 5, -2, -1, 10]]\nB =\n[[-6, -10, -2, -7],\n [9, -1, 5, -3],\n [7, -10, -3, 3],\n [-10, 0, 4, -10],\n [2, 0, 4, 8],\n [-1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-660", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 2, 9, 0, -3, 10],\n [2, -2, 6, -6, 10, 6],\n [5, -2, -9, -3, -1, -6],\n [-10, -10, -6, 0, -1, 5]]\nB =\n[[2, -3, -7, 3],\n [2, 8, -9, -2],\n [2, -8, -4, 5],\n [-1, -2, 3, -2],\n [-10, -2, 4, 4],\n [-3, 2, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -10, 3, 7, -5, -3],\n [8, 1, -10, -9, 9, 5],\n [9, -4, 4, 4, -10, 8],\n [6, 9, 10, 7, -5, -6]]\nB =\n[[4, 4, -9, 1, 2, -8],\n [-7, -10, -1, -2, -1, 5],\n [8, -3, -1, -5, -6, 9],\n [7, 5, 9, -1, 10, 9],\n [-6, 8, 1, -8, 1, 6],\n [-10, -5, -10, 3, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 0, 2, -4, 10],\n [-9, 4, 10, 1, -8],\n [-7, -10, 7, -8, 7],\n [10, 5, -3, 3, 9],\n [-6, 4, -4, 10, 7],\n [-3, 0, 1, 8, 6]]\nB =\n[[10, 5, -2, -9],\n [1, 6, 2, -6],\n [-2, 5, 4, -5],\n [0, -6, 7, 3],\n [6, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[1, 4, -2, -7, -8],\n [3, 7, -7, 9, -3],\n [-8, 2, 9, -6, 6],\n [10, -8, -8, -10, 3],\n [6, 3, 5, 0, -6],\n [6, 7, -8, -4, 8]]\nB =\n[[8, -10, 9, -3, 3, 1],\n [-5, -9, -5, -1, -6, -10],\n [3, 5, 4, 8, -3, 10],\n [-4, 8, 2, -7, -2, 3],\n [5, -2, -8, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 4, -3, 4, 9],\n [-9, 3, 8, -1, 5],\n [6, 1, -3, 1, -1],\n [0, 8, 9, -2, 6],\n [-4, 3, -1, -6, 1],\n [-6, 9, -5, 8, -5]]\nB =\n[[4, 5, -9, 3, -5, 2],\n [2, 5, 8, 0, -1, 9],\n [-2, -2, -3, 9, 6, 9],\n [0, 8, 1, -2, -5, 0],\n [-4, 0, -7, -9, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -2, 3, -3, -8],\n [-2, 1, -8, 2, 10],\n [3, 7, -2, 2, -4],\n [-4, 0, 2, 0, 1],\n [10, 3, 3, -4, -8],\n [-10, 9, -8, -8, 1]]\nB =\n[[-7, -5, -4, 5, 1],\n [-3, -7, -10, -5, 3],\n [10, 0, -9, -7, 0],\n [5, 8, -7, -2, -6],\n [4, -4, -9, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1550", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 3, -2, -7, 4, -1],\n [1, -3, -9, 9, -9, -8],\n [-9, 4, 0, 1, 0, -6],\n [-5, -6, 5, 5, -9, 0],\n [4, 3, 3, -7, 5, 8]]\nB =\n[[-9, -2, 9, 3],\n [2, -9, -8, 1],\n [6, 8, 0, 4],\n [4, -3, 1, -1],\n [-10, -7, -3, 8],\n [-1, -4, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -10, 7, -4, 1],\n [4, 10, 9, -8, 1, -4],\n [4, 1, -3, -10, 3, 1],\n [4, -7, 9, -7, 8, -1],\n [2, -9, 7, -7, 6, 8],\n [-1, -2, -10, 3, -5, -4]]\nB =\n[[-5, -10, -7, 0, 3],\n [-4, 6, -3, -8, 5],\n [8, 7, 0, 4, -5],\n [9, -2, 5, 3, -9],\n [-9, 2, -2, -9, -4],\n [-7, 4, 9, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 7, -7, 5],\n [4, -5, 10, -2],\n [-1, 8, -6, 4],\n [-4, 5, -3, 5]]\nB =\n[[5, -3, 10, 4],\n [-1, -6, 1, -1],\n [5, -3, 2, 2],\n [6, -6, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, 1, 10, -9],\n [-1, -6, -8, 1, -7],\n [-6, 7, 8, -1, 1],\n [4, -7, -5, 5, 7]]\nB =\n[[10, -5, -6, -9, -4, 0],\n [0, 5, 7, -6, 9, -4],\n [5, -5, -7, -8, 4, -5],\n [3, 2, 5, 6, -9, 7],\n [-2, 7, -1, -8, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -7, -9, -8],\n [10, -10, -7, -9],\n [0, 2, 0, -5],\n [3, 0, 8, -4]]\nB =\n[[-10, 1, -2, 4],\n [-9, -1, 6, 3],\n [-1, -3, -9, 10],\n [-6, -8, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, -8, 0, 6, -9],\n [-5, -5, -7, 1, -4, -9],\n [2, -1, 10, -1, -9, -9],\n [-9, -5, -5, -5, 7, -3],\n [-3, -4, -9, -1, 3, 10]]\nB =\n[[-3, 6, 9, 4, 1],\n [-1, 0, -2, 7, 3],\n [5, 2, 9, -10, 1],\n [4, 8, -3, 9, 4],\n [5, -10, 4, -8, -3],\n [-10, -7, 6, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -10, -1, 8, 3],\n [4, -4, -1, 5, -2],\n [10, 9, 0, -4, 4],\n [0, 7, -5, 8, 4],\n [-9, 0, 2, -2, -7]]\nB =\n[[-8, 10, -4, -9, 4],\n [-6, -10, 10, -8, 3],\n [0, -9, 2, 7, 2],\n [-9, 6, 4, -8, 5],\n [-8, 4, -2, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2255", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 5, -9, -10],\n [7, 4, 3, 9],\n [-2, 4, -6, 10],\n [2, -7, -7, -4]]\nB =\n[[3, -7, -3, -4],\n [-8, 5, -7, 9],\n [5, -8, 5, 3],\n [4, -2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, 1, 0, 3, 3],\n [-8, -2, -9, -4, 8],\n [7, -1, -7, 6, -4],\n [-1, 6, -3, 2, 4],\n [9, -9, 7, 6, 6]]\nB =\n[[9, 9, -7, -1, -4, -9],\n [1, -9, 4, 7, 4, 10],\n [-1, -2, 0, -2, -2, -10],\n [2, 5, -1, 10, 0, -7],\n [7, -1, -7, 5, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, 3, -10],\n [-10, 7, -5, -9],\n [10, 6, -6, 2],\n [-2, -10, 6, -5]]\nB =\n[[7, -2, -2, 10, 8],\n [-9, -2, -3, 2, 6],\n [8, 1, -2, -9, -3],\n [8, -9, 9, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-508", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -10, 4, -8, -6],\n [4, 2, 2, 6, -4, 9],\n [-3, 5, 0, -4, 3, -2],\n [-8, 0, 2, -8, -5, 2],\n [-4, 2, -5, 2, 4, 9]]\nB =\n[[-10, 3, 0, -10, -10],\n [-3, 6, -8, 2, -10],\n [5, -2, 5, 7, -5],\n [-1, -9, 1, 8, 10],\n [2, 8, 9, -1, -2],\n [-10, -7, 3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, 4, -10, -4],\n [6, -6, 0, -10, -5],\n [-10, -4, 1, 9, -1],\n [9, 0, -3, -8, -3]]\nB =\n[[7, -7, 8, 1],\n [-1, 5, -2, 7],\n [5, 3, 2, -7],\n [-2, 1, -5, -7],\n [2, 5, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -3, 1, -7, -9],\n [2, -10, 7, -4, -9, 0],\n [-2, 6, 10, -3, -4, 7],\n [-1, -8, -7, 1, -4, 6],\n [9, 6, 0, 10, 7, 2],\n [4, -8, -6, 6, -8, -3]]\nB =\n[[-4, -9, -2, 5],\n [-10, 9, -3, 0],\n [-3, 3, 7, -5],\n [-10, 3, 10, 8],\n [-2, 6, 0, -5],\n [-9, -8, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -3, -1, 6],\n [-6, 4, -9, 2],\n [-8, -4, 1, 6],\n [-9, 10, -3, -6]]\nB =\n[[-8, 8, -8, -2, 10, -5],\n [-2, 0, 4, 1, -6, 6],\n [-4, 5, 1, 6, 2, -3],\n [-3, -1, -7, 9, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1588", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 0, 7, -10],\n [1, 3, 1, 8],\n [-4, 3, -10, -5],\n [6, -7, -4, 2],\n [6, 8, 10, 0],\n [-9, -2, -1, 8]]\nB =\n[[6, 2, -2, -6, -2],\n [4, -1, -10, 5, 7],\n [1, 9, 3, 7, -2],\n [-10, 4, 7, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -1, -2, -7, 6, -9],\n [-6, 5, -8, 0, -1, -5],\n [-4, 0, -7, 8, -3, -8],\n [-5, 2, -5, -6, 6, 2]]\nB =\n[[5, -10, 10, -4, -6],\n [2, -2, 6, -7, -9],\n [-7, 10, 6, 2, -8],\n [2, 1, 1, 2, -9],\n [5, -1, 1, 2, 6],\n [10, -10, 9, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[10, 9, 1, 8],\n [-4, -2, -10, 3],\n [10, 10, 9, -6],\n [-10, -1, 9, 1]]\nB =\n[[9, -5, 4, 6],\n [-7, 8, -9, -5],\n [-2, -7, 0, 0],\n [5, -9, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -2, -2, 10, -4],\n [2, -1, 1, -5, 5],\n [-4, 6, -10, -7, -4],\n [-2, -10, 5, -8, 2]]\nB =\n[[0, 2, 0, -6, 3, -9],\n [1, 4, -10, -2, 1, -9],\n [-2, -4, -10, -1, 2, -8],\n [2, 2, -3, -7, 4, -10],\n [10, 1, 1, -8, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 1, -5, -4, 5, 7],\n [4, 2, -8, 0, 5, 6],\n [-5, -7, 3, 5, 1, 9],\n [-10, 5, 1, -3, -4, 8],\n [1, 8, 0, 1, -5, 0],\n [-9, 10, 2, -10, 9, -3]]\nB =\n[[-9, 1, -1, 1, 5, -2],\n [0, 6, 2, -10, -6, 10],\n [8, 8, 8, -10, -8, 10],\n [4, 3, 10, -5, -2, -5],\n [-5, 4, -7, 9, 4, -7],\n [-4, -4, -5, 5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2920", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-5, -5, -4, 1, -8, 1],\n [9, 8, 5, 4, 1, 8],\n [6, 3, -3, -4, 4, -1],\n [8, -8, -10, -8, 6, 8],\n [3, -6, 5, 10, 3, 10]]\nB =\n[[4, 4, -6, 3, 9, -3],\n [-1, 3, 9, -8, 5, 7],\n [-3, 3, -2, -9, 1, 9],\n [9, -7, 8, 0, 10, 3],\n [3, 5, -5, 6, -8, -8],\n [5, -6, 10, -6, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-3, -1, -1, -7],\n [0, 2, -7, 0],\n [-7, -3, -5, -2],\n [-2, -6, 7, -1],\n [10, 2, 6, -9],\n [-3, -8, 4, 3]]\nB =\n[[1, 8, 7, -10, -3, 0],\n [10, 8, 5, -8, 1, -3],\n [-10, 7, -2, 2, -8, -5],\n [10, 3, 6, 8, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -10, 9, 10, 0, -8],\n [5, 7, 10, -3, 0, 1],\n [-1, -9, -3, -2, 8, 2],\n [-3, -4, 9, -4, -3, 3],\n [-10, -7, 7, 1, -2, -6]]\nB =\n[[-7, 4, -3, -4],\n [4, 10, -9, 5],\n [-10, -8, -7, -6],\n [-10, 1, 4, 5],\n [9, 4, -6, -5],\n [-6, 2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1084", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[8, -1, -9, 1],\n [-3, -10, -5, -9],\n [4, -9, 4, 4],\n [9, 10, -5, 4]]\nB =\n[[-1, -2, -3, -9, 3],\n [-8, -8, -10, 8, -2],\n [2, 2, 9, -5, 2],\n [-3, 0, -1, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 8, -7, 10, 1],\n [-5, -5, -9, -8, -10],\n [10, -3, 10, -1, 4],\n [0, 6, -8, 0, -2]]\nB =\n[[10, -2, -10, 3, 10],\n [5, 2, 9, -2, -4],\n [9, 6, -8, 2, 8],\n [-3, 6, 8, 0, -4],\n [-1, 6, -6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 2, -7, -8, 0],\n [-9, 9, -5, 4, -10],\n [-1, 4, -6, -7, 3],\n [8, -6, 3, -1, -1],\n [-6, -9, -9, -2, -7],\n [6, -5, -1, 7, 0]]\nB =\n[[10, 7, -2, -6, 5, 2],\n [-4, 4, -2, 0, -5, -10],\n [-6, 10, 9, 0, 9, 5],\n [4, -10, 5, 5, 4, -4],\n [-4, 2, 10, 4, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2567", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, -2, -1, 0, 2],\n [8, 8, 7, 8, 4, -7],\n [6, -7, -9, 10, -3, -3],\n [-1, -8, -10, -4, -5, 5],\n [-4, -9, 6, 0, -5, 2]]\nB =\n[[3, 6, 4, 5, 8],\n [6, 4, 6, 9, 5],\n [-4, 4, -10, -1, -9],\n [7, -5, -6, 8, -10],\n [8, 4, 7, 3, 1],\n [-7, 8, -4, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 5, 2, -6],\n [6, 2, -5, -5],\n [8, 7, 3, -9],\n [-7, -5, 4, -7]]\nB =\n[[8, -4, -7, 4, -1, -7],\n [-10, 4, 3, -1, -1, -1],\n [-3, 1, -2, -6, 2, -1],\n [-7, -8, 9, -5, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1246", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, -10, 6],\n [-10, -3, 3, 0],\n [7, -2, -7, -5],\n [4, 10, -4, 6],\n [-3, 2, 9, 3]]\nB =\n[[-8, 10, -6, 5, -1, -4],\n [-1, 4, 7, -5, 8, 9],\n [8, -2, 9, 5, -2, -1],\n [-9, 2, 4, 7, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -7, -2, -2, -1, 9],\n [-8, -6, -2, -1, 8, -3],\n [1, 3, -1, 2, -5, -7],\n [-10, -9, 5, -2, 10, -6],\n [-3, -6, 1, 5, -7, 7]]\nB =\n[[3, -2, 3, 7, 9],\n [-8, 5, 5, 7, 3],\n [-10, -10, 3, -7, -1],\n [9, -8, -5, -3, 8],\n [-2, -8, 10, -2, 3],\n [-1, -1, -8, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -6, -7, 5, 4, 7],\n [10, 10, -8, -6, 10, -4],\n [4, -5, 5, -9, -8, -9],\n [1, 9, 3, 1, 3, -3],\n [-7, -5, 7, 1, 6, -8]]\nB =\n[[-9, 6, 5, 2, 4],\n [-8, 4, 5, 5, 0],\n [-9, -6, -6, -9, -2],\n [10, -8, -4, -7, -8],\n [5, -6, -9, -6, -6],\n [-4, -2, 10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, -10, 2, 8, -7],\n [-9, 4, -4, 1, 3],\n [9, -8, 6, 7, -9],\n [-10, 0, -9, 4, -8],\n [8, -1, 7, 2, -9],\n [-2, -9, 1, -1, -1]]\nB =\n[[-9, 8, -5, 10, -3],\n [-6, 5, 7, -7, -1],\n [-3, -3, 6, 1, -1],\n [-2, 6, -9, 2, -7],\n [-6, 2, -8, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 10, -9, 5],\n [10, 1, 7, 3],\n [-6, -2, 8, 1],\n [-9, -8, -6, -10],\n [-7, -4, 10, -10]]\nB =\n[[0, -6, -1, -8],\n [8, 0, -8, 8],\n [9, 8, 8, 1],\n [-6, -5, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "830", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[10, 5, 6, -6, -3],\n [0, -7, -4, -1, 4],\n [1, 9, 4, -1, 0],\n [-10, 4, 3, 2, 3],\n [0, -5, -8, -2, 7]]\nB =\n[[3, -9, 2, -9, 10, -10],\n [5, 7, -6, 8, -4, -1],\n [-4, 10, -8, -7, 0, 3],\n [9, 3, -6, 4, -4, 8],\n [-4, 3, -9, -3, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-1, 1, -6, -5, -8],\n [3, 1, -8, 1, -6],\n [-4, 5, 1, -8, 7],\n [-7, 8, -3, 8, 2],\n [-5, 4, 7, 0, 3]]\nB =\n[[-10, 5, -8, 6, -9],\n [5, -3, 8, -8, -10],\n [1, 1, 9, 5, -3],\n [-3, -2, 1, 6, -3],\n [8, -2, 5, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-2, 9, 10, -3],\n [8, 1, -5, 7],\n [6, -7, -6, -1],\n [-4, -8, 8, 1],\n [1, 6, -5, -7],\n [10, -7, 0, -7]]\nB =\n[[6, 4, 6, -1],\n [-2, 4, 3, 3],\n [7, -2, 4, 8],\n [8, 6, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 7, 0, 10, -4],\n [6, -9, 1, 3, 7],\n [3, -1, -9, -1, -8],\n [-8, -8, -5, 1, -9],\n [2, -2, 9, 3, -10]]\nB =\n[[-9, 4, 8, 3],\n [-9, -1, -2, -10],\n [9, -1, 4, 3],\n [8, 7, 6, 3],\n [-4, 5, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-9, -6, 4, 3, 7],\n [-5, -6, -1, -3, -1],\n [8, -5, -7, 4, -1],\n [2, 9, -7, -6, 10]]\nB =\n[[8, 4, -8, -8, 10],\n [1, -7, -4, -2, -2],\n [9, 1, -7, 8, 5],\n [4, 1, 1, -6, 7],\n [4, 1, 5, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 10, 5, 6, 6],\n [-8, -7, 8, 7, -3],\n [-10, -3, -5, -4, -2],\n [10, 5, 0, -7, 3]]\nB =\n[[-7, -7, 6, -2, -8, -1],\n [-5, 8, 4, 4, 5, 8],\n [-8, 6, -6, 8, 6, 9],\n [-1, -7, 2, 3, 9, 3],\n [1, -8, 8, -4, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -6, -4, -1, 4, -7],\n [6, 7, 2, -4, -7, 5],\n [-7, 9, -6, -1, -10, 0],\n [-9, -8, -1, 5, -8, 10],\n [6, -1, -3, -8, 1, 6],\n [-7, 8, -10, 4, 1, 7]]\nB =\n[[9, -8, 7, -1],\n [-3, 4, -9, -5],\n [5, -8, -8, 3],\n [9, -2, -3, 10],\n [-7, 8, 2, 6],\n [6, 1, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -3, -6, 8, -10],\n [9, -3, 9, -10, 5],\n [7, 6, -7, -4, 5],\n [-8, -3, 6, 5, -6],\n [-6, 4, 8, -9, 9]]\nB =\n[[-8, -10, 0, 9],\n [2, 8, -2, -3],\n [-10, -10, 8, 1],\n [-1, -10, -6, 9],\n [7, 6, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[10, -1, -6, -1],\n [-2, 7, -2, -8],\n [3, -2, 10, -3],\n [-4, 10, 3, 1]]\nB =\n[[6, 7, 3, 1, 0, -2],\n [-7, -2, 8, 7, -4, 3],\n [7, 10, 0, -10, 3, -6],\n [2, 0, 5, 7, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-10, 0, 4, -2, -1, 5],\n [4, -10, 2, 4, 3, -4],\n [8, 3, 4, -1, -2, -7],\n [2, -7, 7, -7, -8, 3]]\nB =\n[[-9, -2, 4, 9, -10, 4],\n [-1, -7, -6, 3, -6, 5],\n [-3, 3, 1, -8, 6, 4],\n [9, -9, -8, 1, -10, -10],\n [2, 3, 1, -6, 7, -5],\n [5, -8, -4, 3, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[4, 4, 9, -9, 6],\n [-4, -6, 2, -2, 9],\n [8, -5, -9, -8, 10],\n [-4, 3, 4, -5, -7]]\nB =\n[[9, -3, -6, 2, -3],\n [2, 5, -4, 6, 10],\n [1, 9, 6, -1, 7],\n [-1, 3, 4, 3, 1],\n [2, 3, 10, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-6, -1, 8, 9],\n [7, -10, 6, 10],\n [-8, 5, 5, -5],\n [-2, -5, 10, 6],\n [-4, -7, 8, 8]]\nB =\n[[10, 9, 1, 1, 0],\n [-9, -5, -1, -9, -4],\n [-1, 7, 2, 10, 6],\n [-2, 3, -8, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, 5, -1, 6],\n [5, 0, 9, 4, -6],\n [3, 1, -5, 3, 5],\n [9, 2, -1, -4, -1],\n [8, 9, 8, -2, 3],\n [5, -10, 1, -3, -7]]\nB =\n[[1, -2, 5, -3, -1],\n [3, -3, 5, 9, 0],\n [-5, 7, -4, 10, 7],\n [2, -4, 5, 4, 10],\n [-10, 0, 9, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[8, 2, 6, -7, 3, 9],\n [2, -7, 0, -8, -10, -9],\n [-7, -5, 5, -2, -6, 4],\n [4, 5, -8, -6, 9, 7]]\nB =\n[[7, -4, 10, -3, 0],\n [4, -5, 7, 9, -10],\n [5, -8, 8, -1, 8],\n [5, 1, -2, 3, 2],\n [2, -3, -8, -8, -10],\n [6, -7, 6, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -3, -8, -5, -1],\n [-4, 9, 0, 6, 2],\n [3, 1, -10, -6, 1],\n [8, 1, 9, -2, 3],\n [5, -10, 9, 8, -8]]\nB =\n[[-6, -1, 7, 10, 1, 6],\n [-4, 6, 8, 0, 9, -5],\n [-2, -7, 3, -8, 1, 2],\n [7, -8, -4, -9, -2, -2],\n [-5, 8, 7, -7, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 1, -6, -7],\n [-10, 8, -1, 8],\n [-6, -5, -8, -3],\n [-2, -4, -2, 3],\n [-10, 5, -6, 7]]\nB =\n[[-7, 9, 2, 4],\n [-3, -8, -10, -10],\n [8, 4, -6, -3],\n [0, 10, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 6) of the product of the following matrices:\nA =\n[[-5, 1, 10, -9, 9],\n [-5, -9, -7, -4, -6],\n [-3, 3, -7, 1, 10],\n [-4, -4, -10, 7, 7],\n [2, 6, -6, 2, 7],\n [-10, 5, -10, 2, -5]]\nB =\n[[-5, -5, 3, 0, -10, -3],\n [-7, 1, -9, 1, -1, -3],\n [4, 8, 0, 4, 0, 9],\n [-3, 9, 2, 5, 9, -6],\n [10, -2, 7, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 7, 8, -8, 6],\n [1, -7, 5, -4, -4],\n [3, 1, 4, -4, 7],\n [-3, -5, 0, -2, 1]]\nB =\n[[3, -1, -6, 10, 2, 10],\n [2, -6, 1, 2, -8, -1],\n [9, -5, 4, 4, 5, -1],\n [6, 0, 5, 0, 3, 8],\n [4, -10, 9, 6, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 1, 10, 10],\n [-8, 6, 7, -6],\n [-10, 4, -3, -10],\n [1, 6, 4, 1],\n [-7, -3, -3, -6],\n [-2, 10, -2, -7]]\nB =\n[[7, -5, 10, -9],\n [-3, -2, 6, -1],\n [10, 5, 5, -6],\n [5, 8, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, -6, 7, -3],\n [9, 0, -8, -5, 8],\n [-1, -8, -10, -7, -1],\n [-6, 4, -10, -3, -3],\n [-6, -9, 10, -3, 5]]\nB =\n[[1, -1, -6, 5, -6, 9],\n [4, -6, -4, 7, 6, 9],\n [-4, -6, -10, 0, 8, 3],\n [-5, 3, -10, -5, 7, -10],\n [1, 10, -10, -1, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[3, 3, -5, -2],\n [-7, 7, 2, 9],\n [2, -1, -8, 3],\n [6, -1, 6, 3],\n [2, -1, -4, 7]]\nB =\n[[-2, 3, -4, -2, 3],\n [-8, -1, 4, 0, -8],\n [-8, -4, -5, 10, -2],\n [-1, -6, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[10, 2, -4, -2, 4],\n [-10, -4, -5, 1, 1],\n [10, -10, 3, 7, -7],\n [-9, -9, 6, 10, -3]]\nB =\n[[0, 1, 5, -6],\n [5, 5, 7, 5],\n [-7, -6, 5, -4],\n [0, -4, 7, 8],\n [-10, 0, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -3, 4, 8, 7],\n [9, -3, 5, 5, -7],\n [5, 2, 10, 0, 10],\n [7, 7, 2, -9, -8],\n [-6, -10, -6, -10, 10],\n [-9, -5, -5, -2, 4]]\nB =\n[[-9, 10, -8, 10],\n [-7, -4, -6, -10],\n [-6, 1, 8, -7],\n [-2, 9, -8, 4],\n [6, 5, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 9, 7, 6, -2, -4],\n [7, 0, 3, -3, -7, 2],\n [1, -5, -2, 10, 7, 6],\n [1, 8, 8, -7, 8, 0],\n [-9, 8, 8, -7, 1, 4]]\nB =\n[[-10, -10, 6, -4],\n [-7, -7, 7, -7],\n [-1, -5, -7, -3],\n [-10, 4, 6, -9],\n [-9, 4, -8, 7],\n [-3, -4, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -2, -2, 6, -1],\n [4, 6, -3, 0, -2],\n [8, 0, 9, 10, -2],\n [5, 1, -6, -7, 7],\n [-4, 2, 5, -10, -10],\n [10, 5, -4, 4, 10]]\nB =\n[[2, 10, -2, 3],\n [-3, -4, -5, -1],\n [6, 8, -3, 10],\n [9, -10, 2, -10],\n [4, 0, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, 9, -7, 6],\n [10, -10, -7, 6, -7],\n [-6, -3, -1, 4, -5],\n [-6, 4, 5, 6, 0],\n [6, 2, -2, 7, -8]]\nB =\n[[-1, -1, -8, -4],\n [0, -3, -6, 5],\n [-2, -6, 9, 0],\n [6, -1, -1, -10],\n [6, -2, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -8, 8, -2, 9, -5],\n [-4, -4, 7, 7, -6, 10],\n [-10, -2, 1, -1, 7, -8],\n [-1, -8, 4, 7, -1, 4]]\nB =\n[[-1, -9, 5, 10, -1],\n [-5, 4, 1, -5, -4],\n [7, 7, 9, -10, -10],\n [9, -10, 5, 7, 8],\n [7, -8, 7, 10, 4],\n [2, 5, 5, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "611", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 9, -6, -2, 0, 6],\n [6, -7, 3, 4, 1, 1],\n [2, -4, -3, 5, 1, -8],\n [-10, 3, 4, 0, 3, 2],\n [-7, 4, 6, 9, -10, 9]]\nB =\n[[-3, 6, 6, -7, 10, 8],\n [-10, 10, 9, 3, -5, -6],\n [10, -3, -2, 6, 4, 8],\n [1, -8, -2, -1, 8, 7],\n [10, 5, -2, -9, 8, 0],\n [10, 10, -9, -10, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2351", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, 0, 1],\n [5, 8, -10, 7],\n [-2, -2, -8, -10],\n [-7, -10, 10, -7],\n [8, 10, 6, -7]]\nB =\n[[7, 8, 2, -3, 1, -1],\n [5, 0, 6, -10, -10, 2],\n [-9, 7, -1, -2, 5, 6],\n [2, 7, 5, 9, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 10, -3, -7],\n [0, 3, 6, -9],\n [-1, -10, -5, -8],\n [1, -5, 8, -3],\n [-9, 1, 4, 1]]\nB =\n[[9, 6, 5, -1, 2],\n [-2, -6, -3, -2, -9],\n [-3, -9, -5, -5, 9],\n [-1, -10, 2, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, 8, 6, -3],\n [-7, 10, -1, -10, 7],\n [9, -5, -9, -8, 1],\n [3, 8, 7, 4, -7]]\nB =\n[[8, 1, -6, 3, 0, 0],\n [6, -3, 10, -3, -9, 1],\n [-2, -2, -6, -8, 5, -3],\n [-8, -1, 4, -3, 9, -3],\n [1, 10, -3, 9, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 7, 4, 10],\n [-6, 6, -1, -1],\n [-1, 4, 5, 8],\n [-2, -1, 1, 7],\n [-8, 4, -2, -6]]\nB =\n[[-1, -3, -1, 0, -6, -7],\n [-1, -6, 7, 9, 2, 8],\n [-1, 1, -6, -9, -2, -5],\n [-10, -2, 8, -9, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "442", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -1, 6, 7, -10, 6],\n [8, -1, -7, -4, 3, 1],\n [7, 4, 8, 9, 8, 10],\n [-9, -4, -9, -6, 4, -6],\n [1, 1, 7, 0, -3, 6],\n [1, 4, 3, 8, 1, -5]]\nB =\n[[-8, 0, 10, 0],\n [4, -5, 10, -5],\n [-10, 10, 5, 0],\n [-1, 6, -10, 1],\n [4, 4, 5, -8],\n [1, 7, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, -5, 3, -10, 2],\n [4, 2, -6, -1, 6],\n [-9, 6, -4, 3, 7],\n [-9, -10, 3, -2, -8]]\nB =\n[[9, 3, 4, 7, -10, -2],\n [-5, -5, 0, 2, 6, 2],\n [0, 9, -3, -9, 1, 2],\n [-8, 8, -3, 3, 4, 5],\n [-8, 3, 0, 5, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-4, 7, 8, 5],\n [4, 5, -9, -7],\n [7, -3, -4, -2],\n [10, 1, 10, 4],\n [9, -6, -5, -7]]\nB =\n[[-4, 10, 4, 6],\n [2, -3, 4, -6],\n [-5, -9, -3, -9],\n [-1, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 6, 6, 4, -2],\n [3, -5, -3, 0, 6, -3],\n [7, 4, 6, -9, -6, 6],\n [8, -9, -10, -4, 4, 10]]\nB =\n[[1, -4, 9, 3, -9],\n [6, 4, -4, 2, 4],\n [-9, 6, -7, 5, -3],\n [7, -7, -7, -6, 0],\n [-2, -7, -5, -5, 4],\n [2, 6, 1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, 6, -3, 0],\n [-7, -10, 0, -1, -1],\n [-1, 5, 3, 8, 4],\n [9, -3, -10, -5, -9]]\nB =\n[[1, -6, -4, 1, 5],\n [-4, 3, -9, 2, 5],\n [-9, -1, 6, 1, -10],\n [10, 8, -7, 4, 0],\n [-4, -10, 9, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, -1, 6],\n [5, 10, 4, -3],\n [6, 3, -3, 7],\n [2, 10, 8, -5],\n [1, 2, -3, 2],\n [7, 8, -10, -6]]\nB =\n[[5, 8, -10, 1, -4, 8],\n [-2, 8, -9, -3, -6, -7],\n [3, 2, -8, -2, -5, 4],\n [-4, 5, -1, -7, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -1, 7, 4, -6, 3],\n [10, 3, 2, -7, 1, -3],\n [-4, -5, -7, -3, 6, -5],\n [4, 1, -9, -8, -4, -10]]\nB =\n[[8, -9, 3, 6, 10, -9],\n [0, -4, 10, 4, 2, -2],\n [1, 1, 8, 4, -9, -3],\n [6, 6, -7, 8, -6, 1],\n [-6, 9, -4, 10, -9, -7],\n [4, 5, -2, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, -8, -5, -8, 0],\n [-9, 2, 2, -5, 7],\n [3, -1, -1, -2, -9],\n [-9, -4, 1, -8, -3],\n [-2, -5, 5, -8, 9],\n [-10, -10, -5, 1, 6]]\nB =\n[[7, -6, 10, 7, 10, 5],\n [-7, 10, 4, 8, 7, -7],\n [9, 10, 9, -1, 7, -3],\n [-5, 6, -6, 6, 1, 5],\n [-8, -6, -10, 3, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -2, 9, 1, -9, -3],\n [-10, -4, -1, 8, -4, 2],\n [8, 9, 8, -10, 7, 1],\n [-4, -10, 5, 7, 9, -6],\n [-2, 4, -4, -2, -2, -8],\n [-3, 10, -2, -5, -2, 5]]\nB =\n[[-1, -8, 7, 3, 7],\n [3, -6, 9, 7, -2],\n [-8, 0, -5, 6, -2],\n [8, -3, 4, -10, 10],\n [-8, 0, -5, 3, 6],\n [-8, -5, 4, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2156", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-1, -10, 0, 3, 10, 3],\n [6, 3, 2, -4, -6, 0],\n [7, 10, 10, 3, 2, 0],\n [-4, -8, 0, 9, 6, 10]]\nB =\n[[9, -2, 7, 6],\n [-10, 2, 1, 7],\n [0, 1, -3, 9],\n [8, -10, -1, 0],\n [0, -3, 7, -5],\n [-4, -7, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -6, 8, 2, -2, 9],\n [-1, 2, 3, 8, 9, 6],\n [2, -2, -4, 0, 9, -7],\n [3, -6, 9, 2, -4, 8]]\nB =\n[[6, 9, 10, 4],\n [4, -5, -9, 7],\n [-10, 3, -6, 6],\n [-6, 7, 8, -3],\n [9, -10, 3, -2],\n [-9, -6, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[7, -8, 3, -1, 8, 6],\n [8, -9, 5, -8, -1, -7],\n [-9, 2, -3, 7, 2, 1],\n [-3, 10, 10, -6, 7, 6],\n [-2, 2, -4, 4, 6, 3],\n [-10, 4, -2, 7, 0, 5]]\nB =\n[[5, -10, -10, -4],\n [9, -1, 2, -1],\n [-4, 4, 6, 0],\n [0, 3, 8, -3],\n [3, 3, 0, -10],\n [-6, 1, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 9, 7, 10],\n [0, 10, 1, 10],\n [8, -4, -2, -10],\n [-2, -1, 6, 6],\n [-6, -7, -9, -8],\n [-9, 8, 1, 10]]\nB =\n[[-7, 0, 6, -8],\n [-8, 1, 6, -1],\n [-5, -1, -8, 8],\n [-5, 10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-4, 10, -8, -9, 1, 4],\n [-4, 2, -4, 1, 2, -2],\n [-4, 0, -5, -2, -3, -4],\n [-1, 4, 7, 1, -6, 2]]\nB =\n[[9, 8, 7, 9],\n [1, -2, 7, -7],\n [-7, 4, -6, -5],\n [-8, -3, -3, 3],\n [-2, -9, 3, 3],\n [-3, -7, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 0, 10, 9, -10],\n [-10, -2, 4, 9, 1],\n [-5, 2, -4, -9, 10],\n [3, 10, -2, 1, -3],\n [-1, 8, -10, -10, 7],\n [7, 6, 4, -7, 6]]\nB =\n[[2, -1, 9, -5],\n [-9, 9, -10, -6],\n [-6, -2, -10, -9],\n [7, 8, -4, -6],\n [7, 0, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-530", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 6, 3, 9, -2],\n [4, 8, 8, 0, 4],\n [4, 9, -5, 1, 10],\n [-7, 3, -6, -10, 0]]\nB =\n[[-8, 0, -6, -8, -2],\n [-9, 4, 3, 7, -4],\n [10, 9, -9, -4, 1],\n [-7, -2, -1, 9, -6],\n [-2, 0, -6, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -6, 10, 7],\n [-5, 5, -10, -8],\n [-3, 4, -2, 7],\n [-10, -4, -6, 3],\n [3, -10, -6, 6]]\nB =\n[[-10, 1, -1, -7],\n [-5, 9, -9, 2],\n [6, 1, 4, -2],\n [10, -5, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[0, -5, 7, 7, 1],\n [-2, 7, 9, 3, 1],\n [10, -10, 3, 7, 0],\n [3, 7, 9, -9, -9],\n [2, -7, 6, 0, 10],\n [0, 10, -6, -3, 4]]\nB =\n[[2, 7, -9, 0, -8],\n [8, 4, 5, 3, 10],\n [-6, -1, -1, -4, 5],\n [-7, 0, -9, -2, 5],\n [-2, 8, -9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 3, -4, -4, 1],\n [3, 9, 1, -2, 7],\n [5, 7, 10, 8, -5],\n [-3, -3, -6, -8, -1]]\nB =\n[[5, 4, -8, -3, 2],\n [6, 3, 3, 1, 5],\n [-9, -9, -3, -5, -3],\n [-8, 7, 0, 3, -2],\n [9, -5, -5, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -10, 1, -8, 6, 4],\n [-3, -8, -4, -2, 4, -2],\n [-7, 9, 1, 1, 8, 3],\n [9, -10, -5, -9, -3, -1]]\nB =\n[[2, -3, -3, -1, 9],\n [10, -9, -9, -1, -10],\n [4, 8, 0, 8, -4],\n [2, -10, -7, -10, -8],\n [-6, 0, -8, -8, 10],\n [0, 4, 2, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "695", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[9, 0, -10, -8, -3],\n [10, 2, -3, -2, -9],\n [0, 8, -6, -8, 6],\n [-2, -7, -1, -10, -5],\n [6, -1, 0, 3, -6],\n [-8, 1, -1, 0, 8]]\nB =\n[[9, 1, -1, 9, 5, 4],\n [1, -4, 8, -7, -9, -3],\n [-4, -6, -1, -3, 9, -2],\n [-6, -2, -10, -10, -1, -4],\n [3, -6, 5, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, 2, 8, -1, -10],\n [8, 5, -1, 4, -6, 2],\n [-6, -10, -4, -8, -5, 3],\n [-6, 8, 10, 7, 6, 4]]\nB =\n[[8, -1, 10, -8, -3],\n [-9, -7, -2, -2, -6],\n [-3, 9, 5, 8, -5],\n [-4, -8, 9, -7, 7],\n [-1, 7, -2, -2, -8],\n [6, -1, 9, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 3, 7, 0],\n [1, -3, -9, 6],\n [-1, 2, -3, 5],\n [-8, -1, 5, -5]]\nB =\n[[-9, 3, -10, 7, -8],\n [4, 10, 6, 9, 5],\n [8, 3, -10, -8, -5],\n [3, 2, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -5, -3, 5, 4, 10],\n [-2, 1, -9, 5, -3, 0],\n [9, 0, 1, -5, 9, 1],\n [-6, 8, 8, -5, 2, -7],\n [-9, 2, 5, 5, 6, 10]]\nB =\n[[-6, -5, 1, 0, -7],\n [3, 1, 6, -10, -9],\n [-2, 1, 7, 0, 5],\n [-2, -2, 4, -10, -3],\n [6, -1, 7, 10, -9],\n [2, 8, 5, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 7, 0, -8, 3],\n [4, -7, -8, 2, 10],\n [4, -8, -5, 7, -10],\n [8, 2, -5, 8, 10],\n [0, -6, 6, 6, -6]]\nB =\n[[-5, -2, -3, 7, 3],\n [-2, 6, 1, 6, -7],\n [-10, -5, -10, -4, -5],\n [-2, -7, 9, 0, 10],\n [5, 4, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "552", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -3, 5, 7, 1],\n [0, -1, -5, -4, 10, -7],\n [-4, -6, 6, -6, -9, 8],\n [6, 10, 9, -2, -3, 9],\n [2, -1, 5, -4, 0, -4],\n [-6, 0, 7, 7, -2, -6]]\nB =\n[[-10, 5, -4, 8],\n [6, -9, 5, 8],\n [6, -9, 10, -8],\n [-1, 9, -6, -1],\n [-10, 7, 10, 10],\n [0, 3, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[8, -9, 3, -5],\n [-10, 8, 6, -10],\n [0, 5, 2, 9],\n [-1, 10, 8, 7],\n [-1, 4, 6, -6],\n [-5, -3, -3, 9]]\nB =\n[[5, 10, -4, -2, 3],\n [-10, -5, -4, 0, 4],\n [-4, 2, 10, -4, 7],\n [10, 5, 8, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -6, -9, -2, 3, -3],\n [-7, 6, 0, -9, 8, 2],\n [4, 7, -4, -9, 2, 8],\n [-1, -2, 6, 1, -7, 9]]\nB =\n[[4, -9, -2, 1],\n [-1, 8, -2, 4],\n [1, 9, -3, 2],\n [-4, -10, -4, 0],\n [10, 9, -7, -4],\n [-10, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-8, 10, -3, -7, 0],\n [4, 5, -1, -3, 1],\n [2, -7, 10, -6, 5],\n [2, -2, 7, 10, 2]]\nB =\n[[4, 9, -5, 9, -7],\n [-6, 5, 9, -6, 4],\n [9, 5, 6, -8, -10],\n [-5, 6, 9, 10, -1],\n [5, -7, -1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -1, 7, 1, 1],\n [1, -10, -10, 3, 0],\n [-1, -9, -2, 1, -2],\n [-10, -6, -10, -3, -10],\n [0, -9, -1, -8, -9],\n [-1, 2, -9, -1, -6]]\nB =\n[[6, -10, 8, 3, 1, -7],\n [-6, 5, 1, 4, -6, -9],\n [0, 0, -1, -1, -9, -2],\n [-3, 2, -1, -6, 10, -7],\n [3, 2, -9, 10, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1992", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, -6, -7, 5, 6],\n [-2, 1, -9, 3, 2],\n [-6, -5, 0, -7, 5],\n [7, 3, -10, 8, -8],\n [4, 5, 3, 6, -6],\n [8, -6, 2, -8, 7]]\nB =\n[[4, -3, -3, 2, 3],\n [-7, 0, 3, -2, 5],\n [9, 3, -7, 0, -9],\n [-8, 5, -1, 4, -1],\n [4, -4, 2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, -5, 4, -6, -9, 8],\n [-2, -10, 10, 4, 3, 1],\n [-8, 0, -3, -2, 10, 3],\n [0, 0, 0, 9, 8, -9]]\nB =\n[[1, -7, 8, 4],\n [10, 1, -10, -6],\n [1, -7, -3, -3],\n [0, -6, -5, -4],\n [-5, -9, 2, 10],\n [9, 5, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 10, 4, 3, 6],\n [4, 1, 3, -1, 2],\n [-1, -1, -9, -9, -5],\n [1, 7, 8, -10, -8],\n [8, -1, -10, 6, 9]]\nB =\n[[4, -4, -5, -8, -10],\n [7, -5, -3, -8, -6],\n [9, -1, -5, 3, 4],\n [1, -3, 10, 10, 9],\n [6, -8, 8, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2019", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 1, 5, 4],\n [-8, 4, 5, 8],\n [-5, -3, -5, 10],\n [5, 10, 4, -4]]\nB =\n[[10, 3, -8, 0, -2, 7],\n [4, 4, -7, 3, 4, -9],\n [-3, -7, -9, -4, 4, -7],\n [-8, 8, -9, 5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-674", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 8, -8, 10, -3],\n [2, -8, -1, -9, 4],\n [-5, -2, -4, -10, 4],\n [-2, -4, 4, -6, 8],\n [3, 2, -10, 5, 10],\n [0, 0, 8, -3, -7]]\nB =\n[[7, 4, 1, 4, 3],\n [-5, 8, -9, -1, -5],\n [3, -5, -6, 3, -9],\n [2, 7, 0, -10, -9],\n [-3, -8, -5, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, 0, -4, 7, -1],\n [-5, -8, 4, 10, -6, -5],\n [-8, -1, -10, -9, 9, 8],\n [-8, -7, 0, 8, 2, 1]]\nB =\n[[-10, -2, 3, 8, 1, -8],\n [-9, -5, -5, -1, -10, 6],\n [-8, -5, 0, 5, 7, 10],\n [-9, -7, 0, -3, -10, -5],\n [1, 10, -5, 3, -10, 4],\n [-8, 3, 5, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -7, 0, 0],\n [4, -7, 6, 1],\n [-8, 6, -5, -9],\n [-9, -2, -5, -10]]\nB =\n[[-3, -10, 6, 8, -7],\n [-10, 2, 9, 2, -2],\n [10, -1, 6, -6, 9],\n [5, -5, 10, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1550", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-3, -6, 6, 10],\n [8, 5, -1, -9],\n [2, 4, 2, 8],\n [-3, -6, -3, -2],\n [-6, 6, 9, 1],\n [-8, 10, -8, -5]]\nB =\n[[0, 10, 9, 5, 4],\n [3, 2, -3, 10, 4],\n [3, -8, -5, 10, -2],\n [-4, 3, 8, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -10, -7, 3, 9, 4],\n [9, 10, -1, -10, -1, 8],\n [-5, 5, 5, -1, -9, -8],\n [-6, -3, 9, -5, -1, -5],\n [10, 1, 0, 7, 1, -8],\n [5, 3, 2, 3, -2, -1]]\nB =\n[[-8, -9, 7, -4, 4, -1],\n [8, 8, -10, 2, -4, 8],\n [-4, -8, -3, -5, -1, -2],\n [6, -1, -2, 1, -9, -1],\n [5, 4, -9, 8, 10, 8],\n [4, 0, -6, 0, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, -1, -4, 9, 5],\n [8, -8, 3, -8, 4, 0],\n [3, 5, -8, -5, -7, -6],\n [5, 1, 5, 1, 2, 8],\n [0, 3, 8, -10, -3, -5]]\nB =\n[[6, -1, 1, 3],\n [-4, -2, 3, 4],\n [4, 8, 7, -7],\n [1, 5, 5, 7],\n [-3, 4, -9, -10],\n [-10, 8, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-371", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 9, 4, 9, 7, 2],\n [9, -10, 8, -10, 3, 5],\n [2, -2, -7, 7, -7, -9],\n [6, 2, 6, -5, 3, 10]]\nB =\n[[-8, 0, 8, -2, 10],\n [-8, 5, -3, -6, 0],\n [3, 8, -7, 5, 0],\n [-4, 1, 5, 8, -10],\n [-5, 8, -7, -3, 4],\n [4, -4, -8, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1781", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 4, 3, -3],\n [0, -4, 9, 7],\n [6, 10, 0, 1],\n [0, -3, 6, 8],\n [-10, 4, 5, 7]]\nB =\n[[7, 0, -7, -5, -8, 0],\n [8, -2, -6, -4, 9, -9],\n [-1, 9, -9, -1, -4, -2],\n [-9, -5, 1, 2, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, 8, -6],\n [8, -7, -3, -1],\n [10, -5, 0, -1],\n [7, 7, -10, 4],\n [-3, 0, -1, -5]]\nB =\n[[-6, -7, 10, -6],\n [6, 8, 7, -1],\n [3, 4, -8, -2],\n [-8, -8, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -2, -6, 2, 2, -10],\n [6, -8, 10, 1, -3, 1],\n [1, 5, 8, 5, 5, 8],\n [10, 4, 5, -3, -2, -4],\n [9, 6, -3, -9, 0, 8],\n [3, -10, -3, -2, -9, 8]]\nB =\n[[-7, 8, -10, 4, -8, -6],\n [-10, 2, 9, 7, -10, -7],\n [-1, -6, 3, -5, -7, 2],\n [-4, 7, 4, 8, -1, -2],\n [-2, -5, -6, -10, -1, 5],\n [-4, 10, 10, 8, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2600", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, -1, 8],\n [2, 8, 9, 10],\n [-1, -8, 9, -9],\n [-5, -9, 7, 7],\n [-1, -3, -6, -7],\n [0, 9, 2, -10]]\nB =\n[[1, 1, 5, 9, 10],\n [-5, -3, 5, -3, -2],\n [-4, 2, 5, -8, -10],\n [3, -4, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1567", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -7, 0, -4, -1],\n [-2, -8, -3, -1, 5],\n [2, 4, 0, -8, 5],\n [-1, 7, 2, -5, 4],\n [-3, 6, -7, -10, 5],\n [-7, -9, 10, -3, -2]]\nB =\n[[2, 2, 10, -5, -10, 8],\n [-7, 0, 8, 9, -6, -4],\n [5, -3, 10, 0, 4, -4],\n [-9, 10, -7, 8, -1, -3],\n [7, 0, -10, -5, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 1, -2, -5, 9],\n [-6, -8, -2, -3, -3],\n [-8, 8, -8, 0, -10],\n [10, -9, -6, -9, 9],\n [0, -1, -2, -7, -3],\n [0, 8, 2, -5, 3]]\nB =\n[[-9, 4, 4, 4],\n [1, 1, -2, 0],\n [9, 1, 2, -7],\n [7, 3, -9, -7],\n [2, 0, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -5, 9, 10, 1],\n [7, -3, 8, 6, -5],\n [6, 3, 0, 10, -4],\n [7, 4, 5, 6, 6],\n [4, 7, 3, 8, 10],\n [-8, 4, 9, -2, 2]]\nB =\n[[8, 7, 5, -5],\n [2, -8, -4, -7],\n [-4, -10, 8, 8],\n [4, -8, -1, 0],\n [-8, 5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -7, 10, -2],\n [6, -3, -2, 6],\n [-6, -8, 3, 5],\n [8, 1, -10, 10]]\nB =\n[[9, -7, -4, 0, 8],\n [7, 4, 5, 3, 4],\n [6, 8, 7, -3, 4],\n [-5, 4, -6, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 6, 7, 4, 9],\n [-1, 3, 0, 1, 8],\n [2, 6, 7, -7, -2],\n [3, 5, -10, 8, -1],\n [-6, 0, 10, -7, 10]]\nB =\n[[4, 5, -3, -7, 1],\n [-7, 10, 9, 1, 9],\n [-9, -10, -5, -6, -4],\n [-8, -5, 3, 0, 4],\n [8, 2, -8, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, -8, -4, -10],\n [4, 0, -3, 3],\n [0, -10, -7, 7],\n [4, 0, -10, 1],\n [3, 0, -6, 4],\n [-1, 3, -5, -1]]\nB =\n[[8, 8, -8, -5, 7, 2],\n [5, -8, 5, -6, -4, -5],\n [2, -8, 6, -7, -2, -2],\n [8, -2, -2, -8, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, -7, -7, 9, 8, -1],\n [3, 6, 0, -1, 5, -5],\n [10, 9, 7, -10, 5, 7],\n [4, -6, -5, -4, -4, -2],\n [-4, 6, -4, 0, 1, -8],\n [-3, -8, -2, 3, 1, 10]]\nB =\n[[10, 2, 10, 8, -2, 3],\n [-1, 3, -8, 9, -10, 4],\n [-2, -8, 6, -3, 7, 5],\n [6, -9, -3, 9, -4, 1],\n [2, -10, 4, 8, 5, -3],\n [-2, -2, -7, 1, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, 1, 9, -8],\n [6, 0, -5, -3, -8],\n [9, -2, 0, 10, 7],\n [3, 4, 10, -7, -10]]\nB =\n[[5, 3, 0, -1],\n [-9, 6, 9, 1],\n [-3, 2, -1, 0],\n [-4, -4, -8, -6],\n [-4, 1, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-10, 6, -1, -6, 1, -7],\n [-10, 1, 5, -5, 0, 5],\n [6, 4, -6, -5, -5, -5],\n [6, -7, -9, -9, 8, -10],\n [3, 7, -5, -10, -8, -9],\n [-7, 9, 7, -9, -1, 0]]\nB =\n[[4, 6, -7, 6],\n [7, 0, -10, -6],\n [-4, 6, -5, -1],\n [7, -3, -4, 4],\n [7, -4, 9, -4],\n [-6, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 9, -8],\n [-1, -5, 6, -2],\n [1, 2, -8, -6],\n [8, -8, -5, -4],\n [0, 10, 9, -8],\n [0, -2, 2, 10]]\nB =\n[[7, 6, 3, 10, -8],\n [2, -6, -8, 5, 2],\n [7, -10, -9, 7, -1],\n [-8, 6, -9, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, 7, -8, -7],\n [-2, 6, -9, 10, 6],\n [10, 9, -4, 5, -4],\n [-7, -5, -10, -2, 6],\n [-7, 7, -9, -9, 9],\n [-7, -7, 3, 6, 3]]\nB =\n[[9, 0, 2, 1, 3, -4],\n [-8, -4, -1, -8, 9, -1],\n [8, 9, -8, -5, 6, -6],\n [4, 4, 4, 7, -7, 4],\n [8, -2, 1, -3, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -4, 6, -2, 10, -3],\n [-4, 9, -9, 2, -1, 10],\n [-4, 6, -2, -9, -5, -2],\n [7, -6, -7, -8, -1, -7],\n [3, -3, 6, -2, 10, 0],\n [6, 3, -2, -1, -8, -9]]\nB =\n[[9, -4, -9, -9],\n [10, 10, 5, -5],\n [7, -4, 9, -7],\n [9, 5, 2, -9],\n [3, -8, 5, -8],\n [-3, 7, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -7, 7, -9, 10, 10],\n [6, -1, 5, 7, -6, -4],\n [1, -5, -7, -8, 8, -2],\n [4, -8, 0, 4, 1, 1],\n [-2, -7, 2, 2, 2, 1],\n [-2, -9, -2, -2, 2, 7]]\nB =\n[[-6, -4, 6, -1, -6, -2],\n [3, -10, 5, -1, 9, 0],\n [0, 2, 1, -5, 7, -1],\n [-5, -8, 4, -5, -10, -4],\n [8, -6, -3, -4, 6, 8],\n [3, -8, 7, 1, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -3, 7, 2, 1, 9],\n [-10, 2, 8, 3, -9, 1],\n [-4, 9, -7, 8, -5, 0],\n [7, -4, -4, -10, -4, 2]]\nB =\n[[-5, 7, 0, 2, 5],\n [-6, 1, 6, 9, -5],\n [10, -2, 6, 9, 2],\n [7, 5, 10, -7, 6],\n [3, -3, -10, -6, -1],\n [0, -8, 0, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, 0, 1, -5],\n [7, 7, 9, -10],\n [4, 4, -8, -3],\n [1, 10, 2, 8]]\nB =\n[[-6, -3, 8, 2, 6],\n [-10, -7, 8, -10, -6],\n [1, -9, 9, 7, -7],\n [10, 1, 1, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 0, -6, 8, -1],\n [9, 5, 10, -5, 2],\n [-2, 8, -9, 6, 2],\n [9, 5, 8, -8, -10],\n [10, 9, -3, -2, -8]]\nB =\n[[-5, 3, -3, 5, -8],\n [-6, 10, 1, 9, -2],\n [-5, 1, 3, -2, -9],\n [2, -8, 8, -9, 0],\n [7, -8, -4, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "379", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, -1, 10],\n [1, -9, 1, -3],\n [9, -8, 2, 0],\n [1, -2, -3, 9],\n [-8, -4, -3, -3]]\nB =\n[[9, -2, 2, -6],\n [-2, -4, 4, 7],\n [-7, 1, -5, -10],\n [9, -7, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 0, -4, 5, 4, 2],\n [-7, 0, -5, -8, 1, -3],\n [-2, -10, -7, -5, 0, -9],\n [9, 7, 3, 8, 7, -3],\n [9, 5, 3, 6, -6, -8],\n [-5, -8, 6, -2, -7, 3]]\nB =\n[[-10, 5, -10, 9],\n [-5, -4, -7, 6],\n [9, 4, -4, -2],\n [-2, 3, 3, 3],\n [-3, -1, -2, 10],\n [5, -7, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2072", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -10, -8, -5, -9],\n [5, 7, -4, -2, -7, 2],\n [10, -1, 6, 2, 10, 10],\n [-8, 9, -6, 1, -2, -4]]\nB =\n[[0, 8, 7, -4, -1],\n [9, -6, 2, 2, 6],\n [10, 5, -6, -9, -2],\n [4, -7, 9, 3, 8],\n [5, -5, 2, 3, -10],\n [-9, 3, -6, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 6, -1, -3],\n [0, 9, 2, -2],\n [9, -7, -7, 3],\n [3, 6, 9, 7],\n [8, 2, -1, -8]]\nB =\n[[4, -3, -1, 9, -10, 5],\n [0, 8, 1, 10, -5, -7],\n [-8, -1, 9, 2, 8, 6],\n [0, -8, -7, -3, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 4, 8, 8],\n [6, -7, 4, 2],\n [2, 9, -1, 7],\n [-2, 2, -6, 5],\n [1, 4, 8, -5]]\nB =\n[[-10, 7, 0, -2, -7],\n [-4, -8, 5, 1, 6],\n [3, -10, -5, 7, 9],\n [-8, -4, -3, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1340", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[7, -6, -3, -4, 8],\n [-8, -7, 2, 10, 4],\n [7, 10, -1, 2, 5],\n [-7, -8, -3, 1, 7],\n [-1, 5, 9, 7, -9],\n [-2, 9, -4, -8, -7]]\nB =\n[[1, 9, -9, -7, -7],\n [-4, 5, 2, 6, -2],\n [5, -10, -2, -9, -10],\n [-6, 10, -1, 3, -3],\n [-10, 0, -7, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[7, 4, -6, -2, 0],\n [7, -2, 10, -10, -8],\n [4, 0, 9, -2, -1],\n [5, -5, -1, 8, -8],\n [6, 8, -3, -9, 2]]\nB =\n[[-6, -5, -3, 4, 0],\n [9, -5, 8, 6, 5],\n [-6, 2, 5, -1, 6],\n [-9, 10, 1, 6, 4],\n [-6, 3, 4, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 0, 0, 5, -9, -3],\n [-8, -4, -1, 2, -2, 8],\n [-5, 8, 5, -6, 5, 1],\n [-10, -2, -1, -5, -10, -6]]\nB =\n[[7, -5, -9, 8],\n [9, 5, 0, 0],\n [0, 5, -4, -2],\n [3, -1, 8, -8],\n [10, -1, -10, -6],\n [1, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 3, 10, -6, 10, 7],\n [-7, -6, -3, -9, 8, 4],\n [3, -10, -7, 8, -7, 5],\n [4, -6, -8, -8, 6, -8]]\nB =\n[[-2, -8, 5, 8, 1, 10],\n [-4, 3, -1, -5, -4, 7],\n [-3, 10, 6, 7, 1, -1],\n [-7, 1, 5, -6, -8, -2],\n [-4, 4, 4, 2, -5, 3],\n [2, -3, -10, 4, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 10, -3, -7, -10],\n [-5, 3, 7, -3, 6, 7],\n [8, -8, -5, -1, 9, -7],\n [-1, -10, -9, 5, 4, 4]]\nB =\n[[-1, -1, -9, 7],\n [4, -3, -7, -9],\n [-4, -6, -4, 10],\n [-5, 10, 5, 9],\n [4, 1, 6, 4],\n [9, 10, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, 5, 4, 3, -3],\n [-8, 7, -4, 4, -7],\n [4, -10, 3, -4, 3],\n [7, 4, 0, -4, 5],\n [6, -5, 1, -4, -7],\n [-4, 2, -9, 6, -3]]\nB =\n[[-3, 5, 8, 1],\n [-6, -2, 7, 9],\n [-6, 8, 5, -3],\n [2, 10, -7, 2],\n [-4, 10, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, -8, -1, -8],\n [-4, -1, -8, -8, 5],\n [1, 8, -9, 5, 7],\n [-5, 10, -5, -4, 2],\n [-5, 1, 1, 3, 10],\n [0, 0, 5, 3, -8]]\nB =\n[[5, -7, -2, 5, -2],\n [3, 2, 4, 8, -7],\n [6, -6, 4, -8, -3],\n [7, -9, 5, 4, 9],\n [3, -3, 10, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1824", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -9, 9, 4],\n [4, 8, 3, 0],\n [-5, -10, -10, -10],\n [-6, 4, 1, 7],\n [-9, 9, -6, 9]]\nB =\n[[-3, -6, -5, 5, 7, 4],\n [-2, 0, 1, 1, -10, 7],\n [-4, 8, 1, 5, 6, 4],\n [7, -9, -4, 2, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 8, 5, -5, 8, 10],\n [10, -8, -1, 9, 1, -1],\n [-2, 8, -4, -10, 5, -1],\n [6, -3, 0, -3, 1, -7],\n [2, -10, -9, 5, 1, 3],\n [0, -2, 6, -3, -5, 8]]\nB =\n[[-8, -10, 3, 3, -10],\n [-10, 1, -4, -8, 6],\n [-2, -6, -1, -6, -6],\n [-1, -10, -1, -2, -5],\n [-7, 9, -10, -1, -8],\n [7, -6, -4, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-230", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-3, 0, 6, -4, 8],\n [0, -9, 2, -1, 9],\n [9, -2, -5, 10, -8],\n [-6, 2, -3, 4, 4],\n [-6, -6, 6, 4, 1]]\nB =\n[[1, 8, -7, -3, -5, -4],\n [-10, 4, 8, 6, 3, -5],\n [-3, 7, 1, -7, 9, 0],\n [-7, 9, 7, -4, 3, -7],\n [4, -3, 10, 9, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -10, 1, -8],\n [8, 0, -3, 4],\n [10, -6, 0, -1],\n [-1, -2, -8, 1],\n [10, -5, 6, 0],\n [4, 6, 1, -3]]\nB =\n[[-4, 1, 2, -2, -5],\n [5, 5, 4, -1, -1],\n [10, 2, -9, -7, 7],\n [5, -6, 6, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -6, -4, -9, -5, 2],\n [-1, -7, 4, -6, 2, 0],\n [8, -10, -1, 0, -3, 5],\n [8, -4, -1, 1, -7, -1],\n [9, -9, 5, 0, -5, 10]]\nB =\n[[-6, -3, 6, -2, -6],\n [-10, -4, -2, 8, -3],\n [6, -1, 0, -4, 7],\n [4, 5, 3, 3, 6],\n [8, 4, -1, 5, 10],\n [-1, -10, -9, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-860", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 5, 0, 1],\n [-9, -7, 9, -10],\n [8, -3, -7, -7],\n [-2, 10, -5, -5],\n [3, -6, -5, -3]]\nB =\n[[3, 6, 3, 8, -8],\n [8, 1, 1, -6, -7],\n [-7, -8, 10, 0, 4],\n [-10, 9, -10, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 8, 0, 4, -7],\n [4, 2, 4, 4, 4, 9],\n [7, 9, 9, -4, 9, -7],\n [5, -5, -9, 1, 1, 0],\n [-7, 1, 0, 2, -3, 7]]\nB =\n[[0, 8, -3, -8],\n [5, -6, 6, -5],\n [-1, -5, 9, 9],\n [9, -5, 4, 8],\n [-5, 7, 3, -4],\n [8, 0, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 2, 0, -2, -10, 9],\n [-3, 6, 7, 1, -4, -3],\n [-5, 3, -10, -10, 10, 9],\n [-10, -6, -6, -9, -2, -6],\n [2, -3, -4, -4, -3, 9]]\nB =\n[[2, -5, -2, -6, -10],\n [9, -9, -9, 8, 0],\n [1, -4, 7, 8, -4],\n [7, 4, 1, -2, -3],\n [3, -8, 0, 0, 5],\n [-1, 0, 10, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[4, 0, 6, -5, -8],\n [3, 4, -2, 1, -10],\n [-5, -4, -6, 9, -4],\n [-10, 9, -4, -4, -9],\n [-4, -3, 9, -4, -9],\n [-3, -4, 5, -6, -5]]\nB =\n[[-4, 10, 4, -8, 2, 8],\n [-1, -5, -2, 5, 6, -10],\n [-3, 10, 6, 7, 3, 5],\n [6, -5, -8, 6, -1, 6],\n [-8, -7, 8, -4, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 9, 6, 8],\n [-8, -3, -7, -9],\n [6, -2, 5, -8],\n [-6, -3, -9, 5],\n [-10, -5, 0, 6]]\nB =\n[[-10, 7, 0, 5, 6],\n [-10, -1, -10, -9, -2],\n [-5, 3, -8, -7, -6],\n [2, -3, -2, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -5, -9, 10, 5],\n [6, 7, 0, -2, -10],\n [-3, 1, -5, 9, 9],\n [-7, -3, 7, 8, 7],\n [-8, 8, 5, 6, 7],\n [-2, 10, 0, 10, -9]]\nB =\n[[8, 5, 10, 1],\n [-4, 5, 9, 5],\n [3, -2, -9, 7],\n [-5, 2, -8, -3],\n [1, 5, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-617", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 5, 2, -3, 8, 8],\n [-6, -10, 0, -5, -4, -3],\n [6, 1, 8, 5, -7, -7],\n [-8, 9, -8, -3, 10, 10]]\nB =\n[[0, 10, -5, -6, 10],\n [-2, 2, -3, 8, 2],\n [5, 10, -6, 6, 3],\n [2, -10, 3, -4, 7],\n [-5, 4, -3, -8, -6],\n [4, 10, 2, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 0, 4, 0, 8, 0],\n [-4, 8, 1, -7, -2, 5],\n [8, 5, 3, -8, 2, -7],\n [4, -8, 4, 0, 5, -4]]\nB =\n[[-2, -2, -7, -4, 9, 6],\n [1, -7, -6, 7, 9, -8],\n [0, -10, -8, -4, 9, 9],\n [0, -1, 10, -4, 5, -1],\n [1, -1, 10, 9, 6, -4],\n [3, 10, -10, -7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, -4, 8, -10],\n [-7, 1, 2, 0, -5],\n [9, 0, -3, 0, -5],\n [3, 0, 0, -3, 5]]\nB =\n[[-7, 10, 0, -3, -10],\n [10, 2, -4, -5, -4],\n [-2, -10, 7, 0, 2],\n [-6, 5, -10, -10, 7],\n [3, -4, 6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 1, 2, -9],\n [7, 8, -7, 2],\n [8, -6, -4, 6],\n [4, 5, 6, -2]]\nB =\n[[3, -5, 3, 7, -7, 8],\n [-8, 1, -10, 8, 6, -2],\n [-6, 1, 0, 5, -8, -2],\n [1, -5, 4, -7, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 4, 10, -10, -6],\n [2, -3, -8, 0, -2],\n [-3, -1, 7, -4, -8],\n [0, -8, 2, 5, -1],\n [0, 8, 10, 5, 6]]\nB =\n[[-5, 2, 2, 4, 5],\n [5, 3, -7, 5, 5],\n [-5, 9, 9, 8, -7],\n [-3, -6, 8, 8, -1],\n [-2, 0, -7, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1525", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 3, 0, 5, -1, -2],\n [-6, 1, 7, -6, 8, -2],\n [9, -6, -8, 2, 9, -10],\n [-3, -6, -9, 9, 10, -8],\n [7, -7, 6, 6, 6, 8]]\nB =\n[[3, 4, 3, 7],\n [0, 5, 9, 4],\n [-2, -10, 4, -6],\n [8, 7, -10, -2],\n [2, 1, 3, 1],\n [2, 9, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -9, 4, 3, 8],\n [-6, -6, 8, 8, -4],\n [6, -5, 1, -1, -5],\n [0, 9, 10, -3, -8],\n [3, -10, 5, -5, -9]]\nB =\n[[-5, 6, 10, -10],\n [-5, 9, 10, -9],\n [-7, -7, -5, 8],\n [-6, -10, -10, 5],\n [10, -9, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -9, -4, -8],\n [3, 6, -9, -2],\n [5, 7, 2, -6],\n [-4, -6, 2, 4]]\nB =\n[[8, 5, 9, 5, 2],\n [-6, 7, 8, 3, 7],\n [1, 5, 9, 5, -10],\n [1, 2, -4, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 6, -6, -2],\n [-1, -9, -7, -6],\n [-1, -2, -3, -6],\n [-4, 1, 0, -4],\n [6, -2, -4, -8]]\nB =\n[[-2, 7, -8, -5, -3, -3],\n [-5, 1, -9, 10, -8, -2],\n [4, 2, -8, 5, -4, 5],\n [-7, 6, -7, -7, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 1, 1, -4, -1, -6],\n [-6, 7, 4, 3, 0, 4],\n [4, -7, -8, 0, -3, 3],\n [-7, -3, 2, 9, 6, 7],\n [3, -5, -4, -9, 1, -2]]\nB =\n[[-8, -3, -7, 5, 9, 4],\n [7, -6, 7, 8, -8, -1],\n [-3, 8, 5, 4, -1, 6],\n [-7, -7, 7, -7, 1, 2],\n [8, 7, 0, -10, -9, -3],\n [-3, -10, 3, 0, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 9, 8, 5, 8],\n [7, 1, -8, -5, -9],\n [-5, -8, 9, 10, 3],\n [10, -1, -10, -8, -6],\n [-8, 3, 4, 7, -2]]\nB =\n[[0, 2, 9, -9, -4],\n [7, 8, -10, -10, 4],\n [-8, -1, -1, 7, -3],\n [6, -5, -4, 6, 6],\n [5, 3, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 0, -8, 0, 3],\n [4, -1, -8, 6, -9],\n [0, -3, 5, -6, 6],\n [4, -7, 6, -2, 10],\n [1, 8, -9, -2, -8],\n [2, 6, 4, -8, 9]]\nB =\n[[9, 2, 8, -3, 0],\n [-3, 6, 5, 7, 9],\n [-6, -1, 9, 5, -7],\n [-4, 8, -4, -2, 4],\n [2, -3, 7, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, -5, 7],\n [1, 5, -8, -4],\n [-6, 0, 5, 5],\n [7, -10, -7, -8]]\nB =\n[[-8, 8, 3, -3],\n [-2, -4, -2, -5],\n [-10, 10, -6, 4],\n [-2, 4, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, -3, -1, 9, 1],\n [-4, 2, 3, -3, 7, 1],\n [3, 5, 1, -8, 2, -5],\n [1, 9, 3, 8, 8, 4],\n [8, 2, -7, -1, 4, -7]]\nB =\n[[1, -3, 5, -10],\n [-10, -4, 7, -4],\n [7, -6, -10, 6],\n [5, -2, -4, 1],\n [2, 5, 4, 0],\n [-8, 4, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, 1, -4],\n [-3, -8, 10, -6],\n [2, -4, 4, -9],\n [7, -8, 8, -4],\n [1, -1, -3, -9],\n [-8, -6, 2, -10]]\nB =\n[[-3, 9, -8, 5],\n [-6, 1, 1, 5],\n [-10, -8, 8, 1],\n [5, -7, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -9, 0, 1, 7],\n [-6, -10, 2, 6, 10],\n [9, 8, 2, 2, 1],\n [2, 2, -4, 9, 1],\n [-1, 1, -1, -5, 1]]\nB =\n[[10, 9, -8, 4, 2, 8],\n [3, 10, 0, -9, -7, -1],\n [4, -1, 4, 10, 3, 6],\n [-6, 3, -9, 5, 6, 9],\n [-6, 10, 5, -4, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 3, -9, 4, -2],\n [8, 0, -3, 2, -2],\n [9, -7, 1, -5, -8],\n [-7, 1, -7, 3, -6],\n [-1, 3, 2, -8, -9],\n [6, -8, -4, 2, -3]]\nB =\n[[-5, 9, -6, 5, 9, 8],\n [-3, -7, -4, 1, -2, 8],\n [-8, -7, -4, 9, -8, -5],\n [-3, -8, 10, -2, -8, -10],\n [-4, -4, 5, -1, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "908", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -8, 2, -8],\n [-3, 3, 5, -9],\n [-1, 6, 7, -10],\n [-2, -9, -4, -3],\n [-8, 7, -9, 6]]\nB =\n[[-7, -7, -6, 10, -9],\n [4, -3, -7, -2, 2],\n [-5, -6, -3, -3, -3],\n [-7, -2, -8, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1366", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -7, 1, -2],\n [-4, -3, -7, -7],\n [-2, 9, -4, -10],\n [9, -10, -6, -7],\n [2, 8, 10, 0]]\nB =\n[[1, 0, -2, -6, -4],\n [-7, 1, 4, 10, 10],\n [5, -7, 7, 2, -8],\n [0, 0, -10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 6, 0, -10],\n [-3, -10, 0, -6],\n [3, 2, -8, 8],\n [1, -3, -1, -7],\n [-8, -1, -2, 6],\n [7, 6, 4, -10]]\nB =\n[[-7, 7, 9, 8],\n [-9, 1, 10, -6],\n [-3, 5, 10, 1],\n [-10, 2, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, 8, 4, 3, 10, 3],\n [6, 7, -10, -2, -7, 5],\n [-2, 4, -7, -4, -7, -1],\n [-1, 10, 9, 0, -8, -1],\n [-4, 0, -6, 0, 1, 10]]\nB =\n[[-4, 0, 0, 10, 7],\n [0, -5, -3, -6, -7],\n [-2, -4, -3, -3, -10],\n [5, -3, -8, -2, 5],\n [-3, 4, -4, 4, -9],\n [-6, -2, -6, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -1, -1, 1],\n [0, 7, 4, -7],\n [5, 0, -3, -5],\n [10, 2, 4, 7],\n [-7, -3, -3, -2]]\nB =\n[[2, 4, -3, -7, 4, -4],\n [6, -3, -1, 6, -1, 7],\n [-3, 1, -8, -3, -9, 6],\n [0, 4, 1, -3, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, 4, -1, -7],\n [-1, -2, 4, -8, 7],\n [7, 4, 1, 7, -5],\n [-4, -9, -6, -5, -4],\n [-1, 4, -10, 7, 9],\n [1, 9, 9, 0, 7]]\nB =\n[[2, -5, -4, 9],\n [9, 10, -8, -10],\n [6, -8, -2, 4],\n [-2, 3, 7, -10],\n [7, -5, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -9, 4, 9],\n [-3, 8, -4, 10],\n [-10, -2, -5, -8],\n [4, 2, -6, 1]]\nB =\n[[4, -8, -2, -9],\n [-7, -7, -2, 8],\n [-4, 2, -8, 1],\n [-8, -5, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -3, 4, 8, 3],\n [7, -3, -10, 6, 3],\n [-2, -7, -4, -3, -6],\n [-10, -2, -1, -2, -6],\n [-9, 4, -3, 0, -9]]\nB =\n[[-6, -8, -4, 8, 6, 7],\n [3, -8, -9, 7, -10, 3],\n [2, -1, 3, 2, -5, 8],\n [-8, 1, -10, -6, -10, -2],\n [10, 8, -5, -7, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 6, -7, 8, -3],\n [2, -6, -8, -4, 1],\n [-7, 7, -5, 4, 6],\n [1, -5, -1, -8, 7],\n [4, 10, 0, 10, 9]]\nB =\n[[-1, -4, 9, 9, -3, 7],\n [4, -7, 2, 6, 3, 6],\n [-7, -1, -6, 1, -6, 7],\n [3, 3, -5, -5, 9, 7],\n [10, -8, 8, -3, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1955", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -10, -7, -4, -9, 2],\n [0, -10, 2, -3, 3, 9],\n [1, 9, -3, -1, 3, 0],\n [4, 3, -1, -6, -5, 4],\n [7, 1, 1, -5, 6, -8],\n [-4, -1, 5, -3, -1, -7]]\nB =\n[[7, 6, -3, 1, -10],\n [8, 7, 6, -7, 10],\n [3, 6, 6, -7, 5],\n [9, -1, -5, -6, -10],\n [2, -8, 6, -5, 4],\n [-3, -2, 10, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 4, 2, -10, 7, 9],\n [4, 5, 8, -6, 6, 6],\n [-3, -3, 0, -5, 8, -5],\n [5, -8, 9, 2, 1, 7]]\nB =\n[[-8, 2, 5, 1],\n [-9, -8, -7, 10],\n [3, 9, 8, 9],\n [10, 4, 4, 3],\n [1, 1, 9, -7],\n [-7, 9, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, -9, 6, -2, -6, 0],\n [-4, 5, 1, -10, -4, 7],\n [7, -5, 7, -7, -10, -4],\n [-5, 7, 7, -2, -6, -7],\n [-6, 8, -10, 1, 7, -2],\n [9, 7, 7, 10, 2, 6]]\nB =\n[[7, 0, -5, 7, 2],\n [9, 10, -1, 8, -5],\n [-8, 9, -4, 6, -3],\n [6, 10, 8, 8, -5],\n [-8, 8, -9, -5, 2],\n [3, 10, 0, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-8, -2, 1, -3, 4, -8],\n [-4, -6, 4, -8, -1, 5],\n [4, 3, 6, 10, 5, -8],\n [7, -1, 4, 10, 10, -8],\n [3, 10, 0, 1, -4, 10],\n [10, 9, -10, 5, -8, -8]]\nB =\n[[7, 3, 1, 1, 10],\n [3, 5, -10, -9, -3],\n [-4, 7, -2, 7, 7],\n [-5, 1, 4, 4, 3],\n [-5, 8, -1, -10, 8],\n [10, 10, -3, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, 4, -4, 6],\n [-5, -7, -10, -1],\n [-3, 4, 2, 10],\n [-2, 2, 5, -8],\n [6, -9, 2, 0],\n [-6, 1, -4, 9]]\nB =\n[[-1, 3, -1, 2, 3, -7],\n [-9, 5, 8, 10, -3, -8],\n [1, -3, 8, -5, 7, -2],\n [-2, -6, -1, -7, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[7, -4, 1, 7],\n [1, -9, -4, 10],\n [5, -6, -8, -10],\n [5, -4, 9, 9],\n [-2, 7, -7, 4],\n [-6, 8, -7, -3]]\nB =\n[[8, 9, -1, 1, 6],\n [1, -9, -8, 10, -3],\n [6, 4, 9, 2, -5],\n [-4, 6, 6, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[1, -8, -7, -2],\n [-8, 8, 2, 9],\n [-6, 0, -2, -6],\n [-9, -10, -6, 0],\n [-7, 7, -1, 9],\n [1, -2, -3, 8]]\nB =\n[[7, -9, 7, -4, -6],\n [-5, 7, 6, -9, 10],\n [1, 10, 7, 3, 9],\n [1, 10, 8, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 3, 0, 2, -2, -6],\n [-2, -2, -10, 10, -6, 1],\n [2, 3, 1, -9, 3, -4],\n [2, 3, -2, 9, -2, -6],\n [-10, -7, 4, 6, 0, 7]]\nB =\n[[-7, -5, 5, 3],\n [9, 5, 10, 2],\n [-1, -3, -5, -9],\n [-9, 8, -9, -1],\n [-7, -10, -6, 7],\n [0, -5, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -5, 3, -3, 5],\n [-4, -2, 8, -3, -9],\n [4, 10, -7, 6, -6],\n [-7, 1, 7, 0, -10]]\nB =\n[[3, -5, 9, 4, -5],\n [-3, -4, -7, 6, 10],\n [-3, -7, 4, 8, -7],\n [-10, 7, -1, 1, 5],\n [-1, -1, 10, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -1, -3, -4, -10, 10],\n [10, 10, -3, -3, 10, 8],\n [2, 1, 4, -2, 3, 7],\n [-8, 7, 3, -10, 6, -10],\n [8, 2, 0, 1, -6, -10],\n [-1, -1, -4, 10, 10, 10]]\nB =\n[[-5, 10, 6, 7, 5, -3],\n [-8, -1, 3, 5, 6, -9],\n [-1, 10, 2, -2, -9, 6],\n [3, -9, 3, 4, 9, 7],\n [-8, -9, 9, -8, -4, -3],\n [1, 1, 9, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3083", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -3, -6, -1],\n [7, -8, 5, -4],\n [6, -9, -5, 7],\n [-4, 1, -7, 0],\n [0, 0, 9, -10]]\nB =\n[[6, -1, 4, 4, 10],\n [-5, -3, -9, -9, 9],\n [7, -2, -1, 0, -9],\n [-2, -9, 0, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1338", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 6, -5, 5, 4],\n [-8, -8, 5, 1, 0],\n [9, -6, 2, 10, 0],\n [4, -4, 0, -1, 7]]\nB =\n[[-9, -3, -3, 6],\n [-4, 2, -1, 10],\n [5, 5, -1, -6],\n [-7, -6, -1, 2],\n [-5, 5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -5, 6, 0],\n [5, 9, 0, 4],\n [-9, 3, -1, 5],\n [7, 6, -7, 2],\n [5, -10, 10, 8]]\nB =\n[[-8, -2, 5, 5, -3],\n [-3, -2, -9, 10, -2],\n [3, -8, 1, 8, -10],\n [4, -8, -3, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, 10, -2, -4, 10],\n [9, -3, 8, -10, -9, -2],\n [2, 6, 2, -5, -8, 6],\n [2, 3, -10, 0, 1, -6],\n [3, 5, -4, -9, 9, -8]]\nB =\n[[-10, -8, 1, -3],\n [-1, -9, 6, -5],\n [10, 3, -4, -9],\n [-5, -6, 2, 7],\n [-1, -1, -1, 7],\n [7, -4, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 2, 5, 10, -8],\n [-5, -3, -8, 6, -2],\n [-2, 4, 1, 3, -8],\n [-6, 6, 3, 6, 6],\n [0, 0, -3, 3, -8],\n [4, -6, 9, 3, 0]]\nB =\n[[6, 4, -10, -7],\n [-9, 4, 5, 10],\n [7, -7, -3, 2],\n [1, 2, -8, 2],\n [-5, -10, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 1, -2, -6],\n [6, -6, -2, -10, 0],\n [-3, 7, -10, 0, 8],\n [5, 1, 1, 4, 8]]\nB =\n[[-8, -4, -7, -4, 8, 1],\n [-8, 4, -6, 1, 9, 6],\n [-7, 9, -7, 7, -10, -6],\n [8, 2, 5, 7, -4, -8],\n [-8, 1, 6, 9, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -10, -7, 0, 9, 3],\n [3, -6, -3, -9, 4, -6],\n [-3, -6, 0, -9, 6, 0],\n [-6, -3, 1, 2, -2, -9],\n [9, 0, 4, -6, 9, 2]]\nB =\n[[0, -7, 8, -6],\n [9, 1, 9, -5],\n [-7, -5, -4, -8],\n [-2, -4, 5, 8],\n [5, 9, 7, -8],\n [1, -7, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 9, -6, 9, 10],\n [-9, -10, -4, 4, -6],\n [-10, 8, 3, 1, -3],\n [-2, -7, 10, 10, -9]]\nB =\n[[3, -1, 1, -3],\n [-7, 2, -8, -9],\n [7, 8, 1, 2],\n [5, 8, -9, -2],\n [-4, -9, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 10, -1, 0, 1],\n [0, -9, -2, -10, 4],\n [0, 5, 2, -3, 2],\n [-8, -10, 5, 9, 10],\n [6, 9, 1, -9, 9],\n [8, 3, -8, -7, 0]]\nB =\n[[-1, -9, 10, 10],\n [10, 9, 4, -9],\n [4, 9, 8, 4],\n [-2, -3, 10, 9],\n [2, 7, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -2, -5, -5, -9, 4],\n [6, 1, -7, -9, -5, 8],\n [10, 9, -7, 5, 3, -3],\n [-5, 2, -2, 6, 4, 1],\n [10, -7, -3, -2, -2, -4]]\nB =\n[[-7, -1, 9, -1],\n [0, -4, 7, 9],\n [7, -2, -7, -6],\n [-4, 10, -9, 2],\n [7, 9, -1, -3],\n [-1, -7, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 1, 9, 4, 4, -1],\n [3, -2, 6, -4, -3, -4],\n [-7, 9, -2, -9, 0, 1],\n [1, -7, 10, -1, -1, 4]]\nB =\n[[-4, -7, -5, -7, 10],\n [6, -1, 9, -9, 7],\n [1, -3, 4, 7, -9],\n [-9, 9, -4, 7, 4],\n [-3, 6, -2, 0, -9],\n [5, -1, 2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, -7, -6],\n [5, 0, -6, -5],\n [0, 3, 6, -6],\n [9, -1, 4, -7],\n [-1, 8, -10, -2]]\nB =\n[[3, -7, 8, -5],\n [4, 7, -7, 8],\n [7, 9, 6, -7],\n [-5, -7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "690", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -10, 5, -9, -1, -7],\n [-7, -4, 1, 4, 3, -2],\n [7, -5, 9, 7, -1, -5],\n [-4, -3, -8, -10, 5, 2],\n [-5, 8, 5, 7, -6, 10],\n [3, -4, 5, -7, 3, 2]]\nB =\n[[-1, -3, 0, -3, 8],\n [-4, 5, -3, -6, 3],\n [10, -8, 1, -4, 8],\n [-5, 2, -5, 1, 10],\n [8, -9, 3, -7, -7],\n [7, 6, -8, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, -8, 2, 10, -4, -9],\n [2, -7, -10, 1, -6, 6],\n [10, -1, -8, -3, -7, -2],\n [5, -4, 8, -1, -9, -10],\n [5, 1, -7, -4, 0, 3]]\nB =\n[[9, -6, -3, 7, 7],\n [8, 4, 2, 6, -6],\n [0, 5, -8, 6, 4],\n [2, 0, 8, -3, 8],\n [3, -7, 10, -10, 8],\n [-8, 10, 8, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[6, -8, -5, -8, 1],\n [0, 5, 10, -5, -3],\n [-3, 10, 6, 5, 1],\n [2, 8, 8, -6, -6],\n [-7, -9, 5, 10, -10],\n [6, -3, -3, 6, -8]]\nB =\n[[10, -2, 3, 6, 3, -3],\n [10, 9, -7, 5, -9, 9],\n [2, -7, 5, 10, -8, -4],\n [8, -8, 1, -10, -3, -2],\n [2, -6, -9, -5, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -10, -6, -3],\n [-2, -8, 8, 10],\n [-9, 5, 5, 10],\n [-5, -1, 2, 7],\n [7, -9, 4, -10]]\nB =\n[[1, 1, -8, 0, 5],\n [3, -9, -4, -5, -6],\n [5, -5, 3, -1, -4],\n [-9, 8, 3, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, 6, -3, 8, -4],\n [-3, -1, 6, -9, -2, 0],\n [-9, -4, 10, -7, 6, -9],\n [-10, 1, -4, 6, 1, 1],\n [-5, -7, 9, -7, 7, 8],\n [-2, 9, 3, 3, 6, -7]]\nB =\n[[4, -10, -5, -4, 9],\n [2, -5, -7, -2, 0],\n [4, -9, -2, 1, -1],\n [-8, 5, 9, -7, 3],\n [10, -7, 0, -6, -9],\n [-7, 6, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, -5, 2, 0],\n [-1, -3, -7, -5, -6],\n [-1, -2, -7, -3, 7],\n [-4, 6, 4, 5, 10]]\nB =\n[[3, -6, -7, -8, -4],\n [10, 8, -8, 6, 10],\n [10, 5, -2, -2, 5],\n [-3, -5, 1, 4, 1],\n [1, 5, 10, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[5, 2, -5, 2, -8],\n [-4, -6, -9, 10, 8],\n [6, -10, -7, 3, -1],\n [-3, -6, -3, 0, -2],\n [-6, 9, 5, 3, 5]]\nB =\n[[-6, 5, -1, -4, 10, 0],\n [-9, 5, -7, 4, -9, -4],\n [-3, 9, -8, 4, 7, -3],\n [-7, 2, -5, 2, 10, -6],\n [9, 6, 10, -1, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -1, -4, -3, -5, 9],\n [-8, -4, 4, 0, -1, -4],\n [-6, -8, -3, 5, -4, 0],\n [-10, 4, 2, -4, -4, 2],\n [-3, -2, 6, 4, -4, 10]]\nB =\n[[-6, 5, 5, 10, -7, 2],\n [-7, 1, -2, 9, 7, -5],\n [8, -7, 1, 8, -2, 10],\n [1, -6, -8, 0, 1, -5],\n [-2, -7, -4, -2, -6, -5],\n [-4, 5, -8, -9, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 8, -3, 7, -5],\n [-4, 9, -9, 10, 3],\n [9, -2, -4, 10, -1],\n [-8, 2, 0, 3, 6]]\nB =\n[[-4, -8, -9, 1, 9],\n [4, -4, -9, 6, 7],\n [-1, 3, -2, -9, -4],\n [-1, -2, -6, -5, -8],\n [-2, -8, -7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 5, -3, -10, 1, 10],\n [0, 8, 9, 6, 8, 4],\n [-4, 1, 10, 9, 1, -1],\n [10, -7, -4, 2, 2, 10],\n [-8, 7, -1, 5, 9, -10],\n [3, 6, 2, 9, -2, 9]]\nB =\n[[8, -2, -7, 4],\n [-7, -5, -10, -6],\n [-6, 8, -5, -2],\n [4, -8, -2, -9],\n [-6, 6, 5, 4],\n [-2, 6, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-827", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -7, -3, 0, -5],\n [9, -2, -1, -1, -3],\n [4, -8, 0, 5, -6],\n [-7, 1, 3, 4, 1],\n [9, 6, 9, -3, -9]]\nB =\n[[-9, 1, -5, 0, 8, -4],\n [-1, -2, 5, 0, 0, 8],\n [-8, -10, -3, -7, -3, 6],\n [-5, -5, -3, 4, -2, 1],\n [-3, 9, 0, 7, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-753", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 1, -8, -5],\n [-1, -6, 7, -3],\n [7, 8, 9, 0],\n [2, 2, 7, -4],\n [1, -1, -5, -1]]\nB =\n[[-1, 8, -8, 5, -3, -6],\n [0, 5, -4, 2, 7, -7],\n [7, 4, 6, -10, -8, 3],\n [7, 1, -3, 8, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, -5, -5, -1],\n [6, -2, -5, -9, 8],\n [-2, -2, 3, 0, -8],\n [8, -2, 4, -7, 0]]\nB =\n[[-8, -5, 10, -9, 5],\n [-1, 0, -8, -5, -3],\n [-9, 10, -2, 3, 4],\n [10, 0, -3, -5, -4],\n [-10, 10, 10, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -6, -7, 2, 0],\n [2, 6, -5, -2, 8],\n [-8, 1, 6, 8, 0],\n [-6, -5, 3, 5, 3],\n [-4, 2, 9, -3, -4],\n [-4, 4, 3, -9, -4]]\nB =\n[[-7, 4, -3, 0, 9, -8],\n [-4, 7, -2, 4, -8, 6],\n [-10, 3, 7, -2, 4, 8],\n [-10, -6, -1, 10, 1, 6],\n [4, 0, -5, 9, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 2, -2, 3, 1, 0],\n [-5, 6, 1, 5, 10, 0],\n [9, 0, 7, 5, 7, -7],\n [-7, 9, 2, 3, -8, -8]]\nB =\n[[8, 6, -8, 9, 9, -9],\n [-3, -5, 3, -2, -10, 1],\n [-4, -4, 1, 0, -3, 6],\n [-8, -7, -1, 6, -3, 1],\n [9, 9, -8, 1, 7, 8],\n [3, 8, 5, -9, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-8, 3, 3, 3],\n [10, -6, -6, 3],\n [5, 4, 0, 8],\n [-5, 6, -5, -5]]\nB =\n[[0, 0, -4, 4],\n [-1, 8, 0, 7],\n [-4, -5, 0, 8],\n [4, 4, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, 3, 4, 7],\n [0, -10, -9, 8, -2],\n [-5, -10, -1, 7, -8],\n [-2, -4, 9, 2, 8],\n [-8, 8, -10, 4, -9],\n [-7, -7, 7, -4, -6]]\nB =\n[[6, 2, 4, 8, -2, 1],\n [-5, -9, -10, -6, -6, -1],\n [-2, 10, 2, -2, -4, -1],\n [-7, 10, 7, 8, -10, 10],\n [9, -4, -10, 3, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2696", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, -7, 5, 6, -2],\n [-5, -9, -6, 5, -8],\n [1, -1, 3, 1, -7],\n [6, 4, -10, 9, 1],\n [1, 2, -6, 2, 9],\n [6, 7, 4, 5, 1]]\nB =\n[[10, -8, -6, -4, -1, 6],\n [-9, -5, 2, 4, -5, 3],\n [-2, -8, -3, 4, -2, -9],\n [-10, 3, 7, 1, 2, 2],\n [8, 0, 5, 3, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 0, 7, -1, -10],\n [1, 5, 2, -2, 6],\n [-8, 3, -3, 5, 7],\n [-5, -6, 0, 2, 2]]\nB =\n[[-9, -6, 3, 3, 5],\n [1, 7, 5, 4, 4],\n [2, -6, 9, 6, 8],\n [-8, 5, -7, -8, -7],\n [1, 3, 10, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[10, 2, -9, -10, 7],\n [-2, 3, 3, 1, -1],\n [8, 4, 4, 2, -9],\n [-3, -9, -8, 7, 9],\n [2, -4, 4, 4, -5]]\nB =\n[[2, 0, 3, 6, 3],\n [-2, 10, -10, -3, -3],\n [6, 7, -4, 8, -9],\n [0, 5, -7, -9, 9],\n [-6, 8, 6, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[7, -7, -6, 8],\n [-10, -2, 9, 1],\n [5, -5, -8, 8],\n [-7, -4, 7, -6],\n [5, -6, -1, 7],\n [0, 5, -8, -7]]\nB =\n[[7, 2, 4, 0, -9, 6],\n [7, -2, -6, 1, 10, 4],\n [3, -5, -9, -6, -2, 8],\n [4, -2, 7, -7, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -10, 8, -5, 7, -10],\n [-3, 0, -8, -8, -8, -10],\n [5, -5, -9, -8, -2, -7],\n [1, -5, -2, -6, -9, -7]]\nB =\n[[6, 7, -5, 9, -4],\n [-6, 5, -2, -3, -2],\n [3, 2, 8, -3, -10],\n [-8, 8, -8, 4, -5],\n [-3, 8, -3, -1, 9],\n [1, -4, -6, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1463", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -4, 1, 4, 7],\n [-6, 8, 7, 10, -2],\n [1, -2, -7, 0, 2],\n [0, -3, -8, 1, 9]]\nB =\n[[-6, 5, 7, 7, -3],\n [-2, -2, 0, 1, 10],\n [6, -5, -2, 4, 3],\n [-9, -3, 0, -2, 2],\n [4, -3, 3, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "899", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -7, 3, 4],\n [9, 6, -2, -7],\n [-9, -5, 10, 0],\n [-3, -9, -2, 5]]\nB =\n[[6, 8, 6, 2, 3],\n [-9, -7, 7, 4, 2],\n [-9, -4, 0, 2, -9],\n [0, 10, 9, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-353", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-7, -7, -7, 4, -9, 10],\n [7, -10, -9, 8, -1, -7],\n [-8, 5, -5, 2, -5, -5],\n [-3, 9, -9, -8, -4, -4],\n [10, -7, 5, -8, -2, -1],\n [-10, 0, -2, 7, -10, 6]]\nB =\n[[4, 7, -5, -2, 6, 1],\n [6, -1, -3, 2, 6, 3],\n [6, 1, 5, -2, 6, 8],\n [-3, -10, -6, 6, 2, 5],\n [1, -3, -7, -7, 10, 0],\n [4, 6, 10, -8, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -6, 1, -10, 10, -4],\n [3, -1, 3, -5, 5, -1],\n [-2, 7, -7, -3, 6, 7],\n [2, 8, 2, -4, 2, -10],\n [-8, 4, 3, -9, 5, 5]]\nB =\n[[5, -9, -2, -2],\n [10, -1, -7, 1],\n [-4, 6, -3, 4],\n [2, -4, -7, -10],\n [2, -2, 8, 0],\n [-6, 3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "965", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -7, -8, 4, -5],\n [-2, 10, 10, -7, 8],\n [-3, 1, 4, -7, -10],\n [9, -3, -5, 1, 5],\n [7, -3, 0, 0, 8]]\nB =\n[[3, -6, -5, 9],\n [4, -2, 10, -1],\n [-10, 2, -10, -2],\n [-8, -5, -7, -5],\n [0, -9, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 4, 9, -6],\n [-4, 6, 10, 10],\n [-5, 10, 7, -10],\n [10, -7, 7, 6],\n [1, -6, 2, -8],\n [4, 10, 5, -3]]\nB =\n[[9, 1, -5, -9],\n [-10, 4, 2, 7],\n [8, 2, -7, -9],\n [-3, -6, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, -10, -7, -8, 1],\n [2, 6, 0, -3, 1],\n [-1, 1, 5, -1, -1],\n [4, -10, -9, -8, 1],\n [-8, 2, -9, -3, 4],\n [7, 4, -2, -7, -8]]\nB =\n[[-4, -1, -3, -1, -3, -10],\n [0, 5, 9, 7, -9, 8],\n [2, -8, -10, 6, -3, -7],\n [1, 3, -7, -6, -1, -7],\n [4, 7, 2, 7, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -4, -4, 4],\n [-1, -9, 7, -10],\n [7, 10, 6, 9],\n [-7, 9, 8, 1]]\nB =\n[[10, -2, -7, 1],\n [5, 3, -3, 0],\n [-1, 3, -4, -5],\n [-2, -10, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[2, -8, 9, -2, -6],\n [-3, 6, -1, -5, -5],\n [8, -3, 5, 5, -2],\n [7, -6, 4, -4, 7],\n [4, 8, 2, 10, 8]]\nB =\n[[-6, -2, -2, 2, 0, -1],\n [2, 2, -10, 0, 7, 3],\n [-9, 1, 2, 5, -4, 1],\n [-8, 0, 3, 0, 7, 4],\n [-2, 8, 0, 6, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -5, -1, -2, 8, -2],\n [6, 7, 6, -5, 3, -1],\n [4, -2, -2, 3, -4, 7],\n [4, 2, -3, -3, -7, -10],\n [-4, -2, 0, -6, 8, 10]]\nB =\n[[2, 10, -3, -3, 8, 6],\n [-2, 9, 3, 2, 5, 5],\n [9, -8, 7, -6, 9, -4],\n [-5, -8, -3, -6, 4, -10],\n [7, 10, 10, 1, -3, 4],\n [-7, 10, -5, -5, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2040", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -7, 9, 5, 0],\n [6, 8, 0, -8, -5],\n [-1, -8, -10, -1, 2],\n [-5, -10, -8, -1, 1],\n [6, 8, -3, -5, 2]]\nB =\n[[-4, 8, -1, -2],\n [-2, -1, -9, -7],\n [-4, -10, -2, -6],\n [5, -5, 4, 5],\n [-5, 5, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 4, -2, 7, 2],\n [-7, -5, -1, 10, 5],\n [-9, 9, -5, 7, -1],\n [-6, -3, -4, -9, 8],\n [-4, -6, -7, -8, -1]]\nB =\n[[10, -2, 9, 10, -2],\n [-4, 2, 9, 9, -10],\n [9, 9, 7, -9, -6],\n [-7, 1, 10, 0, -9],\n [-3, 8, -3, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -4, 6, -10],\n [7, -6, 6, 9],\n [-1, 9, 4, 10],\n [-2, -1, -6, -7],\n [-3, 5, 3, -4]]\nB =\n[[2, 10, 7, -9, -10, 5],\n [-6, -4, 4, -5, 4, 5],\n [8, 8, -7, -8, 5, -6],\n [-1, -9, -6, 1, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 6, 8, 5],\n [-9, -7, -4, -1, -10],\n [-9, 6, 5, 4, 9],\n [-7, -3, -3, -4, -1],\n [5, -6, -5, 1, -4]]\nB =\n[[-7, -3, -7, 9],\n [9, -2, 8, -2],\n [-8, 8, -7, -7],\n [5, -4, -8, -8],\n [-2, -5, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 0, -5, 0, -2],\n [3, -8, -7, 6, 7],\n [-7, -6, -7, 4, 10],\n [2, -10, 4, 8, -7],\n [8, -5, -9, 4, 10],\n [-10, 7, -5, 3, -7]]\nB =\n[[10, -6, -3, 5],\n [2, 5, -1, 0],\n [-2, -2, 9, 7],\n [-2, 2, -3, 4],\n [8, 0, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 8, 4, 0, -5],\n [3, -7, -8, 6, 7],\n [1, 8, 9, -4, 10],\n [-1, -8, 8, -3, -3],\n [-8, -5, 5, 4, 0],\n [-8, 6, -3, 1, 9]]\nB =\n[[3, -1, -10, 2, 2],\n [8, -3, 9, 3, 0],\n [8, 1, 6, -5, 7],\n [9, 2, -5, -5, 7],\n [-2, 5, -5, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -6, -1, -4, -2],\n [8, -6, 1, 6, -3],\n [1, -3, 0, 0, -6],\n [7, 2, 3, -4, 4]]\nB =\n[[-10, -5, 3, 4, 9, 4],\n [7, 7, -6, -6, 0, 1],\n [2, -4, -1, 10, 2, 2],\n [-7, 10, -8, -2, 6, -9],\n [-1, -9, 1, 2, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, 9, -9, -5],\n [1, 1, 5, -2],\n [5, 9, -9, 0],\n [0, -4, 1, -9]]\nB =\n[[-10, -2, -6, 6],\n [6, 4, -8, -2],\n [8, 9, -3, -7],\n [-2, 2, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 3, 6, 8],\n [6, -5, 5, 7],\n [4, -7, -10, -6],\n [1, 2, 6, 4],\n [10, 3, 6, -6]]\nB =\n[[10, 5, 0, 3, -3],\n [4, 6, -6, 6, 7],\n [-1, -2, 1, 10, 10],\n [1, 1, 1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, 9, -2, 2],\n [-8, 10, -9, 4],\n [-8, 4, -1, -8],\n [0, -1, 5, 3]]\nB =\n[[-10, -5, 10, 9],\n [10, -2, -2, -7],\n [8, 4, 3, 5],\n [-9, -4, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -3, -9, 2],\n [-1, -10, 5, -2],\n [7, 6, 0, -9],\n [-8, -5, 0, -7]]\nB =\n[[1, -3, 1, 1, 10, -9],\n [7, 10, -1, -7, 0, -9],\n [-3, -3, -6, 1, 7, -3],\n [-9, 5, 8, -7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -4, 0, 9, 2, 6],\n [5, 3, -9, 1, -8, -8],\n [-1, -5, 9, -9, 4, 5],\n [-6, 6, -1, 2, 5, -8]]\nB =\n[[6, 5, -10, 3],\n [-3, 7, -9, -8],\n [8, -6, -5, 4],\n [-7, -5, 5, 10],\n [-5, 10, -8, -7],\n [4, -3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[0, 6, -9, -8, 10],\n [-5, 2, 1, -5, 9],\n [5, -6, -4, -5, 10],\n [-5, -6, -7, 2, -1]]\nB =\n[[-1, 9, 6, 8, 3, -9],\n [-8, -7, -2, -5, -5, -3],\n [2, -7, -8, 9, -1, 4],\n [7, 8, -2, 9, -5, 8],\n [-3, -7, -7, 2, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -2, -8, 9, -8],\n [5, -10, -3, -4, 0],\n [5, -10, 7, 6, -1],\n [-8, -6, 1, -10, -5]]\nB =\n[[-10, 8, -10, 1],\n [-2, -4, -5, 8],\n [-6, 2, -1, -4],\n [-4, -9, -6, 7],\n [-3, -9, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 0, 10, -4, 5],\n [-3, 8, 2, 5, -3],\n [1, -3, 5, 5, 7],\n [7, -1, -8, 0, -5]]\nB =\n[[8, 2, 8, 2, -1, -4],\n [7, 7, 0, -8, -1, -7],\n [1, 8, -4, -2, 10, -2],\n [5, -10, 5, -1, -1, 4],\n [2, 7, -7, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -10, 4, -2, 0],\n [3, -7, -8, -10, -1],\n [6, 2, -1, 0, -3],\n [-3, 6, -1, -9, 2],\n [8, -6, -7, 9, 3]]\nB =\n[[-6, -10, -8, -7],\n [4, 1, 0, 0],\n [2, 3, 8, 9],\n [7, -4, 1, -1],\n [-4, 10, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-683", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, -6, -3, -8],\n [4, -9, -2, 2, 3],\n [4, -2, 3, 6, 4],\n [1, -9, -7, 7, -7],\n [-2, 3, 1, -10, 1]]\nB =\n[[8, 8, 5, -1, -4],\n [-2, 4, 4, 0, -6],\n [-5, 5, 0, 6, -2],\n [2, 8, 5, 0, -3],\n [4, -7, -2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, -8, -9],\n [-2, -9, -2, -2],\n [-2, 1, 4, -7],\n [8, -8, 7, -5]]\nB =\n[[-10, -2, -4, 8],\n [9, 4, -1, -4],\n [-6, 0, -5, 3],\n [-4, 0, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, -2, 7],\n [-4, 0, 0, -5, -5],\n [-2, 4, -2, 7, 1],\n [5, 7, 5, 10, 7]]\nB =\n[[8, 8, -10, -4, 7, 0],\n [8, -5, -6, 1, -3, 6],\n [-10, -8, 8, -6, 7, -5],\n [-7, 5, 7, 8, 9, 8],\n [6, 7, -8, -5, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, -6, -7, -3],\n [5, -1, -8, 2, 0],\n [-10, 4, 7, -7, 1],\n [3, 3, 5, -8, 6],\n [6, -8, -8, 0, -3]]\nB =\n[[8, 10, -7, -4, -7, 9],\n [-9, -1, -10, 7, -3, -4],\n [0, 4, 2, 0, 2, -5],\n [-5, 2, 8, 1, 1, -5],\n [-7, 4, -9, 2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 8, -4, 2, -7],\n [10, -8, -3, -4, 6],\n [3, 7, -4, -7, -2],\n [8, -1, -5, -1, -3],\n [3, 10, -1, -10, -5],\n [8, 9, -6, -7, -2]]\nB =\n[[-2, 5, -3, 8, 3],\n [2, -1, 5, -4, 9],\n [2, 9, 0, 5, 4],\n [-8, 4, -8, -4, -2],\n [3, 2, 2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 5, -1, -1, -9],\n [-5, 6, 10, -3, 10],\n [-2, -8, 10, -4, 1],\n [6, -6, 8, 8, 0],\n [-5, -1, 2, 4, 9],\n [5, 3, -9, -6, 5]]\nB =\n[[-5, -7, 3, 6, -4],\n [9, 3, -1, -8, 2],\n [4, -10, 0, 6, 3],\n [-3, -2, -6, 5, -4],\n [-10, 1, 7, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-4, 7, 7, 10, -8],\n [-8, -1, 2, 9, 5],\n [5, -9, 9, -8, -1],\n [3, -7, -8, -10, -7],\n [9, -3, -2, -10, 10],\n [-10, -8, -6, -10, -3]]\nB =\n[[-10, 2, -9, 8],\n [10, -4, -7, -8],\n [-9, 1, -7, 3],\n [10, -5, 0, -4],\n [6, -3, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[10, 3, -1, -9, 7, -10],\n [-10, -5, 7, 6, 5, -2],\n [-3, 8, 8, -2, 10, 6],\n [7, 9, 10, 7, -2, 9],\n [-6, 10, 2, -3, -8, 10]]\nB =\n[[-3, -2, 7, -1, -2],\n [-6, -4, 8, -9, -3],\n [4, 9, 7, -9, 9],\n [4, -8, 5, -3, -3],\n [-6, 0, 2, 5, 1],\n [-10, -10, -7, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -8, -6, 10, 9, 5],\n [-10, 6, -4, -3, -9, 4],\n [1, 2, 3, -1, -2, -4],\n [-4, 6, -8, 0, 7, -4],\n [-9, 2, -5, 4, -4, 4]]\nB =\n[[10, 6, -3, 9],\n [-6, -4, 8, -6],\n [3, 6, -5, -3],\n [2, -7, -4, -5],\n [-5, 7, -4, -9],\n [-1, -5, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1627", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -7, 9, -7, -10],\n [0, 2, 4, 9, 10],\n [6, -7, 0, -4, -4],\n [9, 7, 6, 1, -1]]\nB =\n[[0, 8, 6, 5, -7],\n [-10, -5, -2, 6, -8],\n [-1, 7, 5, 4, -5],\n [-10, -6, -4, 6, -4],\n [-3, 4, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, -2, 2],\n [3, 7, 1, -2],\n [-10, 6, 8, -2],\n [-9, 4, 0, -8],\n [2, -2, -1, 3],\n [10, -5, 10, -8]]\nB =\n[[10, 10, 9, 8, -5],\n [2, 3, 4, -1, -10],\n [-1, 1, -10, 5, 9],\n [0, -3, 2, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1713", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 0, 7, 7, 3, -5],\n [7, -4, -9, -6, 6, 5],\n [-7, 8, -1, -4, 2, -10],\n [-8, 8, -2, 8, -6, 9],\n [0, 7, -10, -10, 5, 7],\n [7, 7, -9, -1, 7, 1]]\nB =\n[[6, 7, 8, -3],\n [0, 4, -3, 6],\n [5, -1, 2, -10],\n [3, 1, 10, -4],\n [0, 10, 10, -9],\n [-2, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[2, 4, -6, -2, -6, -2],\n [1, -1, -7, -6, 5, 8],\n [4, 8, 7, 1, -10, -1],\n [3, 4, 1, -9, 1, -10],\n [5, 6, -7, 0, 8, -3]]\nB =\n[[0, 9, 2, -3, -8],\n [-9, -1, 0, 0, -3],\n [-2, -4, -1, -5, 3],\n [-4, 5, 0, -9, 10],\n [-2, 5, 2, -3, 2],\n [1, -4, -7, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 9, 2, 10, 4, 9],\n [-3, -9, 6, 8, -1, 0],\n [0, 8, -1, 9, 3, -10],\n [4, 7, -9, -3, -8, -1]]\nB =\n[[8, -9, 3, 5, 6],\n [-2, -7, 1, -4, 4],\n [7, 2, 2, 9, 0],\n [8, 3, -7, -6, -9],\n [-2, -6, 10, -1, -5],\n [-10, -4, -2, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-379", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-3, 0, -5, -10],\n [1, -9, -7, 9],\n [-1, 1, 9, -3],\n [0, -9, -5, 1],\n [2, -10, 3, -5],\n [-4, 8, 8, 4]]\nB =\n[[-7, 1, 1, 8, 3, 9],\n [-5, 3, 10, 7, -7, -5],\n [7, -4, -3, 4, 7, -6],\n [0, 3, 0, 4, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 3, -3, -2, -8],\n [7, -10, 5, 8, 10],\n [-5, 10, 0, -2, -2],\n [-4, 7, 7, -4, -9]]\nB =\n[[6, -3, -4, -1, -2],\n [-9, 8, 10, -9, -2],\n [0, -7, -1, -8, 2],\n [8, 1, -4, 4, 1],\n [5, 9, 6, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-5, -1, -8, 8],\n [2, 2, -2, 4],\n [5, 0, 7, -9],\n [3, 10, 5, 1]]\nB =\n[[6, -1, 8, 7, 7, -2],\n [9, -9, 3, -8, 8, 10],\n [-3, 4, 3, -5, 5, -6],\n [-8, -9, -1, -7, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[4, -10, -9, -9],\n [-2, -2, -3, 3],\n [-2, -8, 10, -10],\n [5, 2, 7, 4],\n [5, 8, 1, 6]]\nB =\n[[-8, -8, -6, -10, 7, -4],\n [2, -5, 4, -7, 0, 9],\n [-10, 3, 5, -4, 2, 6],\n [4, 8, 8, 6, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 2, 8, -8, 1],\n [7, -5, -3, 9, -2],\n [2, -6, 1, 0, 1],\n [-6, -1, -6, -4, -8],\n [10, -2, -10, -9, 10]]\nB =\n[[1, 7, -5, -3, 2],\n [5, -5, 5, -3, -7],\n [-4, -5, -4, 10, 10],\n [-10, 0, -2, -7, 10],\n [9, -3, -3, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -5, -7, 2, 8],\n [5, 7, -9, -1, -6],\n [1, -10, -9, 7, 1],\n [-2, 0, 1, -7, 8]]\nB =\n[[8, -5, 1, 2, 10],\n [-1, 2, 4, 3, 6],\n [-2, 10, -10, 7, -4],\n [-5, -4, 5, 10, 5],\n [3, 1, 9, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1363", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 3, -4, 1, -4],\n [-10, 9, -8, -7, -7],\n [-7, 7, -9, 1, -7],\n [8, 4, 2, -1, 10]]\nB =\n[[10, 0, 10, -3, -4, -3],\n [-1, -6, -10, -3, 5, -2],\n [-7, -5, 8, -2, -5, 10],\n [1, -6, 4, 4, 5, -7],\n [-3, 7, 10, -4, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-7, 5, 9, 6, -10, -5],\n [-7, -3, 8, 4, 10, -4],\n [1, -5, 6, 9, 8, -6],\n [8, 6, 1, -8, 3, -5],\n [-4, 9, -1, 9, 0, -1],\n [6, -3, 4, 3, -7, 10]]\nB =\n[[-10, -4, 8, 4, 5, 7],\n [3, 10, 1, -7, -2, 6],\n [2, 0, -6, 6, -10, -10],\n [-4, -6, -1, 4, 3, -7],\n [7, -3, -7, -4, -9, -3],\n [4, -5, 3, -4, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, 8, 4],\n [7, 5, 3, -8],\n [5, 2, 8, 5],\n [-3, 10, -10, -7],\n [5, -4, -10, 7],\n [-4, 6, 3, -7]]\nB =\n[[0, -9, -10, -7],\n [-2, -2, -7, 4],\n [-8, -3, -4, -1],\n [-4, 7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -4, 7, 2, 4, 10],\n [-7, 10, 4, -7, 4, -6],\n [-3, 8, 6, 6, 9, 4],\n [-10, -10, -7, 0, 4, 3]]\nB =\n[[-3, 10, -4, -7, 4],\n [-6, -1, -5, -10, 4],\n [-3, -9, 6, 2, -4],\n [-2, 10, 10, -5, -5],\n [0, -2, -1, 10, -1],\n [4, 5, -5, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -3, -10, -10, -5, -9],\n [2, 8, 3, -9, 6, 3],\n [10, -7, 7, -1, -6, -5],\n [9, 0, -3, -8, -7, 0],\n [7, 8, 6, 9, -2, 7]]\nB =\n[[4, -2, 5, 6, -9, -5],\n [3, 8, -7, -8, 10, 3],\n [1, 2, -5, 4, 1, 6],\n [-7, 10, -4, -10, 0, 6],\n [6, -4, 7, 6, 3, -3],\n [-5, -9, -7, 8, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1979", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -2, -1, -8],\n [8, -3, -10, -1],\n [9, -3, 6, -2],\n [7, -2, 6, -10]]\nB =\n[[1, 3, 3, -2, -4, 2],\n [-5, -4, 2, -3, -9, 8],\n [-7, -2, -5, 5, 9, -6],\n [1, -9, 0, -7, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1079", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -9, 2, -3],\n [-5, 10, -8, 0],\n [2, 0, -2, 4],\n [4, -1, 3, -6],\n [1, 9, -8, 10]]\nB =\n[[10, -9, 2, 10, 5, -2],\n [10, 5, -10, 2, -1, 1],\n [9, -3, -5, 6, -4, 6],\n [7, 2, 0, -8, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 4, -10, 6, 2],\n [1, 10, 3, -5, -10],\n [-5, 5, 0, -10, 8],\n [7, 5, 8, 9, 7]]\nB =\n[[-8, 10, 4, -6],\n [-2, -4, -2, -7],\n [-5, -4, 6, 3],\n [-7, 5, -3, -8],\n [-4, 4, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1272", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 2, 6, -8, -5],\n [-4, 2, -1, 1, -7],\n [-1, 7, -6, 4, 6],\n [10, 10, -2, -3, 6],\n [-6, -3, 2, -1, 5],\n [5, -1, -3, 3, -9]]\nB =\n[[-3, -10, 7, -6],\n [9, 2, -2, 5],\n [-9, 3, 1, 0],\n [7, 1, -6, -4],\n [-4, -7, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1290", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -9, -3, -3, 10, -7],\n [3, -7, -9, 1, 6, 0],\n [4, 0, 7, -4, 2, -9],\n [-1, 6, 6, -1, 0, 10],\n [9, -1, 9, 5, 9, -9],\n [-3, 0, -8, 4, -2, 2]]\nB =\n[[8, 1, 3, 10, 4],\n [5, 8, -7, -10, 9],\n [8, 4, 10, -9, -10],\n [9, 9, -5, 7, -1],\n [4, -10, 0, -2, -6],\n [-6, -4, 2, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, 7, -9, -5, 9],\n [-6, -1, -3, -2, 2],\n [-1, 3, -2, -4, -2],\n [10, 0, -5, -1, 3],\n [-4, -4, 8, -6, 10],\n [10, 9, -7, -5, -7]]\nB =\n[[-4, 7, 6, -9, 10, -4],\n [-2, 4, -6, 10, -5, 1],\n [8, 7, -3, 1, -4, 6],\n [7, -10, -9, -8, 9, 3],\n [5, -8, -3, -6, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 4, 8, -1],\n [9, 5, -9, -2],\n [0, -10, 7, -4],\n [2, -8, 3, 3],\n [-1, 3, 1, -6],\n [3, 1, 2, -4]]\nB =\n[[8, -5, -2, -8, 9, -8],\n [6, -1, -5, -2, -6, -2],\n [3, 0, -2, 8, -5, -10],\n [-5, 1, 7, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-4, 3, -2, -6, -5],\n [0, 4, -4, 4, 8],\n [4, -10, 4, 7, -9],\n [4, -7, -10, -5, 10],\n [7, -7, 6, 8, 8]]\nB =\n[[-9, -9, 5, 2],\n [-5, 6, -10, 5],\n [6, -2, 1, 2],\n [8, 4, 3, -8],\n [10, -3, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, -3, -1, -9],\n [5, 8, 5, 2, -1],\n [-4, 1, 2, 6, 7],\n [-7, -5, 10, -5, -6],\n [3, -10, 7, -3, 6],\n [-9, -3, -5, -2, 10]]\nB =\n[[-1, -4, -2, -10],\n [-2, 1, 6, 3],\n [4, -4, -2, -2],\n [6, -6, 2, 8],\n [8, 8, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, 1, 8, 1],\n [6, 9, 5, 10],\n [9, 8, -5, 8],\n [6, -8, 8, 2],\n [-7, 2, 5, -2]]\nB =\n[[-9, 1, -4, 5, -10],\n [2, 2, -3, -8, -7],\n [-10, 5, 2, -10, 3],\n [-10, -8, -5, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 8, 9, 1],\n [5, -2, 0, 6],\n [-4, -7, 10, 2],\n [-8, -1, 4, -5],\n [8, -2, -6, 5],\n [-7, 5, -2, 2]]\nB =\n[[-8, -3, -7, 1],\n [-3, 7, 10, 8],\n [6, 10, 5, 3],\n [-10, 10, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, 8, 1],\n [1, -8, 7, 8],\n [3, -5, 10, -10],\n [8, -7, 1, 3],\n [6, -6, -8, -5]]\nB =\n[[7, -7, -3, 9],\n [-7, -7, -7, -8],\n [-9, -4, 8, -9],\n [-6, -6, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, -8, -7, 10, 1, -10],\n [-1, -4, 2, -10, -9, 9],\n [6, 8, -5, 6, 3, -2],\n [3, -3, 8, 7, -2, 3],\n [9, 9, 7, 10, -8, -4],\n [9, 9, -9, 4, 5, -6]]\nB =\n[[-7, 7, 3, 6, 4, 7],\n [-1, -10, -7, 4, 1, -7],\n [-3, 1, 10, 0, 10, -7],\n [-4, -1, -10, -4, -8, -6],\n [-6, -8, -6, -5, 6, 4],\n [-1, -5, 0, -3, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 5, -7, 2, 3],\n [7, 4, -1, 1, 8],\n [-3, 8, 9, -3, 7],\n [6, -7, -5, 5, 10],\n [4, 1, 1, -6, 7]]\nB =\n[[-4, -9, 3, -6, 1],\n [-2, 8, 1, 9, 7],\n [-4, -8, 6, 1, 7],\n [-1, -8, 9, -4, 3],\n [8, -7, -10, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1397", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -5, -4, -5, 7],\n [1, -9, -4, -4, 2],\n [-9, 0, 9, -2, 8],\n [-2, 8, 2, -9, 7],\n [0, -4, 2, 3, 6],\n [-9, -5, 8, 4, 0]]\nB =\n[[-9, -5, -6, 2, 4, -10],\n [-10, 0, 3, -7, -1, 0],\n [8, 0, 7, -3, -7, -6],\n [-8, 2, -8, -10, 10, 6],\n [0, 4, 7, 4, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1684", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 9, -6, -1, -10],\n [-7, 3, 2, 4, 2],\n [2, 9, 5, -8, -4],\n [3, 1, -7, -2, -9],\n [10, 0, -10, 5, -5]]\nB =\n[[4, -8, -10, 9, 8],\n [-9, -9, -1, 3, -9],\n [-7, -2, -5, 9, -7],\n [-6, -3, -5, 9, 6],\n [2, 0, 1, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1478", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 4, 3, -9],\n [10, -6, -2, -9],\n [-6, -1, -4, 10],\n [-8, -7, 9, 1],\n [-6, 1, 4, 4]]\nB =\n[[-7, -2, 4, 0],\n [-2, -9, 9, -4],\n [0, -6, -7, -5],\n [-8, 10, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -6, -6, 3],\n [6, -7, -9, 2],\n [-7, 8, -1, 10],\n [7, -3, -2, 7],\n [0, 0, 10, 8],\n [-10, -9, 5, -10]]\nB =\n[[7, 1, 8, -7],\n [-7, 0, -7, 10],\n [-3, -2, -8, 6],\n [-9, 9, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -7, 7, 1, 8],\n [2, 1, -6, 2, 6],\n [6, -8, 10, -7, 10],\n [-7, -4, 8, -2, -1],\n [9, 6, -4, -1, -6]]\nB =\n[[-4, -5, 0, -9],\n [4, 9, -7, -10],\n [10, 6, 4, -8],\n [1, -10, -1, -5],\n [10, -1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, -8, -9, -2],\n [-7, 3, -1, -4],\n [-4, 3, -10, -1],\n [-10, -4, -1, 8],\n [1, 2, -3, 3],\n [-6, 6, -4, -7]]\nB =\n[[-6, -5, -7, 9, 4, 2],\n [3, 9, 3, -3, 1, 5],\n [-5, 10, -1, -6, 3, 6],\n [9, -8, 1, 5, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 0, 1, 7, -5],\n [-7, -3, 6, -1, -4, 3],\n [-5, -3, -2, 6, -7, -2],\n [-6, 4, -5, -2, -9, -1],\n [-9, 10, -2, 6, 10, 7]]\nB =\n[[-10, 6, -10, 7, 3],\n [-7, -3, 8, 8, 3],\n [10, 0, -5, -1, -8],\n [-5, -8, 3, 9, -5],\n [6, 3, 1, -5, 3],\n [0, -4, 0, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -4, -3, 8],\n [4, -4, 3, -5],\n [-7, -1, 6, 2],\n [-5, -8, -7, -6],\n [1, -10, 10, 6],\n [-10, -10, 4, -10]]\nB =\n[[-9, 5, -5, 6],\n [-1, 3, 0, -6],\n [1, 9, 9, 8],\n [1, 9, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 0, -10, 3, -10],\n [-10, 2, 0, 9, -10],\n [-4, -1, 3, -8, 2],\n [-10, 10, 9, -7, 6],\n [-9, 8, -9, 8, 3],\n [7, -1, 0, -7, 7]]\nB =\n[[1, -1, -2, 7, 8],\n [-4, 5, -1, 0, -5],\n [2, -9, 2, 5, 9],\n [-9, 5, 9, 3, -7],\n [10, -3, 1, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-461", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 7, 5, -8, 6],\n [1, 8, -8, 8, 6],\n [-2, -8, -1, -9, -2],\n [7, 4, 4, 8, 6],\n [-8, -3, -10, 6, -8]]\nB =\n[[2, -8, -8, -6, -9],\n [4, -10, 10, -2, 6],\n [-5, 6, -4, -8, -8],\n [6, 7, -10, -4, 10],\n [-7, 1, -3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1833", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, 10, 10, 2, -9],\n [9, -4, -6, -6, -5, -1],\n [9, -9, 6, 2, -8, -8],\n [7, -9, -7, -2, 5, -8]]\nB =\n[[7, -1, -4, 7, -4],\n [-1, -1, 1, 10, 6],\n [4, 3, -10, 3, 5],\n [-8, 1, -5, 5, 3],\n [6, 1, 6, 6, 5],\n [-9, 8, 6, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-4, -9, 1, -3],\n [-2, -4, 4, 4],\n [-1, 2, 0, 8],\n [9, 5, -1, 8],\n [-2, -1, 0, -8]]\nB =\n[[-5, -10, 0, -5, -7, 2],\n [8, -3, -6, -8, 5, -6],\n [-3, -4, -9, -9, -4, 10],\n [4, 3, 4, 8, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 5, 10, -4, 5],\n [-5, 0, -2, -7, 10],\n [2, -3, -5, 5, 10],\n [8, -7, -3, 8, 5],\n [-8, 1, 1, -2, 2],\n [-7, -1, 8, 8, 5]]\nB =\n[[2, 8, 7, -3],\n [9, 0, 7, 7],\n [-7, 10, 5, 3],\n [-5, -2, -5, -8],\n [-4, 9, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 3, -9, 3, 10, 4],\n [-7, 9, -10, 4, -1, -1],\n [8, -10, 9, 7, 9, 4],\n [10, 7, 6, -10, 9, 0],\n [2, 0, 5, 7, 1, 8]]\nB =\n[[-8, 9, -2, 1],\n [-4, 2, 0, 2],\n [-5, 6, 2, -6],\n [3, -3, 10, 5],\n [5, 3, 0, -4],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, -1, 3, -7, 4],\n [1, -4, -5, 6, 5, -10],\n [-9, -1, 6, 6, -8, 1],\n [4, -10, -1, 5, 9, -3],\n [1, 1, -6, 7, -4, 8]]\nB =\n[[-3, -9, 5, -4, 8, 3],\n [0, 7, -1, -3, -6, -10],\n [2, 1, 6, 0, 1, -10],\n [-3, -1, -1, 10, -2, 1],\n [-10, -10, 4, 4, 3, -8],\n [-9, -5, -10, -1, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "505", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -10, -7, -7, -6],\n [5, -4, 7, 7, 3],\n [-7, 6, 9, -10, 3],\n [-10, 5, -7, -4, -2],\n [-5, 6, 8, 8, -5]]\nB =\n[[-9, 4, 10, 0, -1, -5],\n [-7, 0, -1, 2, 2, -2],\n [-1, -9, 9, 7, 5, 2],\n [2, 1, -3, -10, 8, -6],\n [3, -4, 1, 8, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 3, -10, -9],\n [-7, -10, -2, 2],\n [6, -2, -8, -4],\n [9, -6, -3, -3],\n [1, 6, 3, -3],\n [9, 3, 6, 7]]\nB =\n[[4, 6, -7, 0, 6],\n [0, 2, -3, 10, 1],\n [-8, -4, 4, -8, 5],\n [-6, 4, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[6, 1, 1, 5],\n [10, 3, -1, 0],\n [7, -7, -1, -1],\n [-5, -2, -4, 0]]\nB =\n[[-6, -1, 4, 7, 4],\n [-6, -3, 5, 8, 1],\n [7, -7, -5, 3, 5],\n [10, -6, -2, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -3, -5, 1, 2],\n [8, -1, -8, -1, 6],\n [-8, -9, 0, 4, 8],\n [-6, -7, 9, 7, -1],\n [-1, -9, 10, -9, -9]]\nB =\n[[4, -8, 8, -4, 7],\n [-9, 1, -7, 3, -2],\n [-5, 7, -10, 1, -6],\n [-3, 9, -8, -7, -3],\n [2, -7, 8, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-230", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 8, 10, -10, -10, 6],\n [-4, 9, -8, 8, -1, 4],\n [1, 3, -5, 8, -9, -9],\n [1, -3, 7, -9, 1, 3],\n [7, 1, -8, 0, -7, -8],\n [-1, 7, -7, 8, 5, -3]]\nB =\n[[-6, 6, -4, -6, 6, -2],\n [6, 7, 6, 2, -4, -10],\n [-2, 8, 4, -5, -7, 1],\n [4, 4, 4, 2, -8, 9],\n [6, 8, 9, -10, -8, 5],\n [2, -10, 3, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 1, 5, -2, 6, -4],\n [-6, 10, 8, -9, -2, -7],\n [4, 2, 5, 6, 4, -2],\n [-2, -10, -5, -2, 7, -5],\n [5, -1, 4, 10, 5, 2],\n [-8, 4, -5, -2, 5, -3]]\nB =\n[[5, -1, 1, -8, 9, 2],\n [9, -6, -1, -9, -7, 1],\n [3, -8, 6, 6, 8, -3],\n [1, -9, 9, 8, 6, 3],\n [0, 5, -3, 4, -2, -1],\n [3, -7, -10, 7, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 1, -2, 10],\n [5, 10, -4, -6],\n [-7, -6, -10, 4],\n [9, -3, 2, 1],\n [-5, -10, -7, 7],\n [-9, -6, -10, 4]]\nB =\n[[-1, -8, 2, 7, 7],\n [-6, -7, 0, 6, -5],\n [7, 4, -9, -6, -5],\n [-9, 10, -2, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "721", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -10, 6, 7, -9],\n [-7, -7, 3, 3, -8],\n [6, 0, -8, 9, -1],\n [-5, -6, -3, 7, 5],\n [4, 10, 3, 0, 6],\n [0, 3, -4, 9, 0]]\nB =\n[[8, -7, 9, 3, -6, -10],\n [2, 3, 9, 2, 10, 0],\n [6, 7, 1, -10, -5, 4],\n [7, 5, 10, -8, -4, 9],\n [-5, 10, 1, -1, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-1, 0, -7, 6],\n [5, 5, -6, -10],\n [8, 2, -6, 7],\n [9, 0, -8, -10]]\nB =\n[[-10, 3, -4, 7],\n [-2, -10, 10, -1],\n [2, 2, 2, 10],\n [8, 5, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[7, -10, -3, 2, -9],\n [-3, -9, 1, -1, 7],\n [9, -10, 4, -6, -1],\n [-5, 1, -2, -1, 7],\n [-3, -2, -10, -8, -4]]\nB =\n[[-7, -10, 3, -6],\n [4, -2, 5, -8],\n [-10, -3, 4, -4],\n [1, 0, 8, -1],\n [0, 7, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, -6, -9],\n [8, -4, -8, 7],\n [0, -1, 0, -9],\n [6, 10, 3, -1],\n [-7, 2, 0, 5]]\nB =\n[[9, -7, 7, 8],\n [-5, 5, 7, -7],\n [10, -5, 6, 10],\n [7, -7, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 6, -8, -4, 10, 7],\n [-9, 3, -6, 6, 10, 1],\n [6, 6, 8, 0, -10, -9],\n [-8, 7, 7, 1, 9, -10]]\nB =\n[[-7, 9, 2, -8],\n [-7, -3, 7, 9],\n [8, -1, 9, -6],\n [-10, 2, -7, -9],\n [-9, -3, -9, 6],\n [-9, 5, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -3, -10, -9, 5],\n [3, -2, 4, 1, 1],\n [5, 9, -2, 9, 1],\n [-8, -3, -5, 9, -8]]\nB =\n[[3, -9, 4, -9, -8],\n [9, -10, 4, 10, -5],\n [-3, 8, -1, -10, -3],\n [-3, 1, -10, -9, 8],\n [7, 7, 4, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, -6, 8, 8],\n [6, -3, -10, 9, 2],\n [5, -2, 5, 9, -2],\n [6, -3, 9, 2, 0],\n [-2, 8, -3, -7, 9]]\nB =\n[[2, -2, 0, 8, 6, 4],\n [-4, -4, 1, -3, -3, 2],\n [-1, 7, 10, 6, 9, 8],\n [6, 10, -10, 2, 1, 6],\n [0, 6, -6, -8, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -1, -4, 10, 1, 2],\n [-9, -1, -9, 5, 2, -3],\n [-10, 9, -9, -3, -3, 3],\n [-7, 1, 1, -10, 10, -9]]\nB =\n[[1, -3, 7, 0, 0, 6],\n [9, 5, -2, -2, 6, -3],\n [5, 3, -1, 6, 10, 3],\n [-7, -9, -3, -4, 8, 4],\n [0, 8, -2, -7, -7, -2],\n [9, 4, -10, -10, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1797", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 4, 0, 0],\n [-5, -6, 4, -9],\n [3, 4, -3, 1],\n [10, 9, -8, 0],\n [6, 0, -5, 9],\n [6, -2, 6, -6]]\nB =\n[[-8, -3, 8, 2, -4],\n [3, -2, -10, -8, 0],\n [-2, -10, 5, 6, -2],\n [-5, 3, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, 2, 10, 6, 4],\n [-9, -8, 5, -2, -5, -4],\n [6, -4, -5, 5, -1, 0],\n [-7, -7, 0, 8, 4, 10]]\nB =\n[[-4, 5, 4, -2, -6, 10],\n [-4, -2, -1, -10, -9, 9],\n [-6, 0, 0, 2, -2, -2],\n [4, 1, -6, 0, -7, -1],\n [-9, -5, 5, -2, 5, 2],\n [-8, 5, 2, 8, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1553", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 5, -10, -6, -7],\n [10, -2, 8, 4, -7],\n [0, 8, -8, -7, 6],\n [6, -5, 9, 1, 0],\n [-4, -4, 3, 7, -4]]\nB =\n[[7, 2, -8, -8, 6, -2],\n [6, 5, -4, 0, -1, 4],\n [0, 2, -9, 10, -2, -7],\n [-4, 10, -3, -9, 5, 8],\n [1, 2, 9, -6, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 2, 3, 9],\n [5, 4, -10, -1],\n [6, -6, -10, 10],\n [6, 7, 6, -9],\n [-10, 1, 7, 4]]\nB =\n[[3, -4, 6, 10, -8, 1],\n [6, 8, 5, -6, -4, -1],\n [-4, -9, -3, -1, 6, -3],\n [8, -5, 1, 1, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 9, -9, 9],\n [6, -2, -9, 8],\n [4, -9, 9, -10],\n [-5, -10, 7, -8],\n [0, -10, -2, 1]]\nB =\n[[-9, -6, -3, 4, 2],\n [-8, 1, 6, -8, 9],\n [7, -8, -2, -2, -9],\n [0, -4, 8, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 4, 3, 8],\n [-2, -9, 2, 6],\n [9, -4, -6, 7],\n [-5, 5, 8, 6],\n [10, -10, 6, -6],\n [-2, -3, -10, 9]]\nB =\n[[0, 10, 0, -4],\n [6, 10, 2, 7],\n [8, 8, 0, -10],\n [3, 3, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1535", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, 0, -4, -3, -8],\n [-1, 4, 10, 3, -4, -9],\n [4, 5, 3, 3, 1, -1],\n [-2, -3, -10, -1, -1, 8],\n [-3, -6, -6, 2, 1, -6]]\nB =\n[[2, -9, -6, 6],\n [7, 8, -3, -1],\n [-6, -5, 3, 0],\n [1, -1, 2, 0],\n [-7, 5, -4, 7],\n [-7, -3, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[1, 3, -5, 4],\n [-6, 3, -9, 0],\n [0, -1, -4, 2],\n [-4, -10, 1, -6],\n [9, -9, 2, 8],\n [-10, -10, 6, 5]]\nB =\n[[-10, 2, 0, -4, -1],\n [9, -2, -5, -10, -9],\n [-4, -3, -1, 7, -9],\n [1, 6, -2, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, 9, -8, 10],\n [3, -6, 9, -3, 5],\n [6, 1, -4, -10, 2],\n [1, 7, 9, 7, 3],\n [5, 8, 9, 1, -8]]\nB =\n[[-8, 2, 2, -5, -10],\n [-2, -2, 4, -9, -9],\n [6, 3, 7, -2, 9],\n [1, -8, -5, -7, 2],\n [0, 5, 8, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 10, 4, -2, -10, 3],\n [-7, 7, 5, 5, 9, -10],\n [-8, 7, -2, 7, -2, 3],\n [-2, 9, -9, 5, -3, 1]]\nB =\n[[-3, -3, 1, -5, 10],\n [4, -6, -8, 2, -10],\n [5, 5, 2, -1, -3],\n [-7, -5, -6, -3, -6],\n [-9, 2, -2, 6, -8],\n [-9, 9, 6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, -1, 0, -4],\n [3, 1, 4, 0, -5],\n [-7, -9, 9, -3, -10],\n [-7, 4, 5, -2, -8],\n [1, 4, -7, 2, -2]]\nB =\n[[3, 5, 4, 5],\n [-1, 2, 2, 3],\n [10, 3, 0, -2],\n [10, -9, -7, -5],\n [-7, 4, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "439", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -6, -10, -1],\n [6, 6, -7, -10],\n [6, -10, -6, -3],\n [-6, -7, -4, -8],\n [-8, 6, 0, 4]]\nB =\n[[7, 2, 5, 9],\n [-5, -8, 2, -5],\n [2, -10, 8, 10],\n [10, 7, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1214", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[1, -4, -1, 5, 10, -3],\n [-7, 4, -1, 8, -5, 2],\n [-8, -1, 9, 10, 10, -10],\n [-10, -10, -5, -10, 2, 6],\n [7, 10, -2, 3, -10, 7]]\nB =\n[[2, -8, -2, 10],\n [-4, 3, -10, 1],\n [-9, 6, -8, 3],\n [-8, 2, -2, 0],\n [-6, -4, 2, -3],\n [-4, -1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, 9, 3, 0, 5],\n [-10, -4, -9, 2, -10, -2],\n [-5, 5, 1, -6, -7, -6],\n [6, 3, -4, -3, -6, -10]]\nB =\n[[9, -7, -4, -9],\n [0, 8, 8, 6],\n [0, 10, -3, 10],\n [-8, -6, 5, 8],\n [-10, 4, -8, -10],\n [-8, -8, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "857", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-6, 6, -6, -1],\n [2, -10, 4, 5],\n [1, -5, 6, 7],\n [-2, -7, -4, 1]]\nB =\n[[3, 4, -8, 0, 9, -6],\n [10, 2, 3, 2, -4, 1],\n [-3, -1, 0, -10, -1, -9],\n [-10, -7, -4, 7, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 8, -6, 7, -6],\n [-5, -6, 7, -2, -9],\n [-5, 9, -6, 8, -8],\n [0, 6, 1, -6, -7]]\nB =\n[[5, -6, -1, -7, 6],\n [-7, -5, -9, -8, -10],\n [1, 2, 5, -3, 6],\n [1, 6, 9, -6, -6],\n [4, 5, -3, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, 8, 5, -10],\n [-4, -6, 6, -10, 8],\n [1, 10, 8, -8, -5],\n [1, 10, -2, -8, 6],\n [3, -4, -10, 1, 10]]\nB =\n[[3, 7, 1, 2, 3],\n [-3, -6, -10, 2, -7],\n [0, -2, -9, 0, 7],\n [2, 3, -10, 10, 4],\n [-9, -4, -4, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-791", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, -8, 2, 2],\n [-5, 5, -9, -2, 3],\n [-8, 6, 2, -5, 9],\n [6, -7, 8, -3, 0],\n [-7, -9, -3, 2, 0]]\nB =\n[[-5, 5, -4, -7],\n [3, -7, 7, -8],\n [4, 10, 8, -9],\n [-7, 6, 8, -3],\n [5, -7, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 8, -1, 3, -6],\n [6, -9, 2, -10, 3],\n [2, 1, 0, -10, 6],\n [-3, 0, -1, 9, 1],\n [7, -2, -4, 8, -6]]\nB =\n[[-5, -5, 5, 10, -2],\n [-5, -7, -7, -6, -4],\n [-2, -9, -4, 7, -3],\n [-6, 4, 2, 10, -9],\n [-4, 3, -5, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1412", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -9, -5, 9, 9],\n [9, 9, 2, -1, 6, -7],\n [-4, 2, 8, -7, -1, -8],\n [1, -9, -6, -5, 9, 7]]\nB =\n[[-2, 1, 1, -1, -10],\n [-8, 0, 8, 4, 1],\n [-8, 3, -6, 8, 4],\n [10, 7, -1, 9, -4],\n [9, -4, -3, 9, -1],\n [-2, 10, -2, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 10, -5, 8, 8],\n [8, -9, -9, -3, -1],\n [-6, -7, 0, -5, -8],\n [7, -3, 1, -8, -10]]\nB =\n[[-9, -6, 4, -2],\n [9, -9, -9, 1],\n [-3, 3, -3, 1],\n [1, 5, 3, -1],\n [4, 3, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, -5, -1, -9, 0, 8],\n [4, 0, -1, -7, 0, 9],\n [-9, 8, 8, 1, -2, 4],\n [1, -10, 9, 10, 2, -10],\n [7, 1, -7, 6, -6, 6]]\nB =\n[[4, 9, 6, 6, -8],\n [-4, 1, 4, -5, -4],\n [2, 8, -5, -1, 9],\n [-6, 3, -2, -6, 8],\n [1, 10, 5, 9, -4],\n [0, -3, 4, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 10, 1, 4, -6, -7],\n [10, -9, -2, 4, 2, -7],\n [-2, 2, 8, 9, -9, 3],\n [-10, 4, 10, -10, 5, -5]]\nB =\n[[6, 7, 4, 8, -9, -5],\n [-9, -1, -1, 1, -8, -9],\n [3, 7, 8, -10, -7, 5],\n [1, 6, 1, 3, -10, -8],\n [-8, 9, -9, 10, 2, 3],\n [9, 5, 2, 0, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -4, -1, 0],\n [10, 10, -4, 4],\n [8, -10, -8, -8],\n [8, -10, 5, -7]]\nB =\n[[-10, -3, 0, 2, 8, 8],\n [5, 9, -5, 0, -9, -3],\n [5, 2, -9, -8, 10, -5],\n [-3, -5, 4, 0, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1746", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 9, 3, 0],\n [-3, 10, 1, -1],\n [-5, -1, -8, 6],\n [6, 1, 1, 8],\n [-9, 7, 5, -2]]\nB =\n[[8, 3, 3, -8, 4, -3],\n [1, -6, 2, 5, 1, 3],\n [7, -8, -10, 2, 7, 3],\n [-5, 6, 3, -1, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -9, -10, 9],\n [8, 3, 5, -2],\n [4, 1, -2, 3],\n [-8, -5, -1, -3]]\nB =\n[[8, -7, 1, 2, -7],\n [-10, 10, -9, 7, 5],\n [0, -9, 1, -2, 8],\n [4, 6, 2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -4, -9, -2, 5],\n [-2, -9, -9, -8, 6],\n [6, 10, 9, 2, -5],\n [4, -8, 6, 0, -4],\n [2, 0, -3, 5, -1],\n [4, 2, -2, -10, 9]]\nB =\n[[-8, -1, 5, -7, 2, -3],\n [8, -9, 2, -2, 3, 8],\n [2, -1, -10, -9, -4, 9],\n [-8, -2, 4, 5, 3, 8],\n [7, 0, -4, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, 3, 2, -9, -6],\n [-2, 7, -8, -1, 0, 0],\n [-7, -3, -3, 6, 3, 7],\n [8, 7, 9, -9, 8, 1],\n [-3, -1, -1, -4, 3, -1],\n [-8, 7, 0, 1, -4, -3]]\nB =\n[[-7, 0, 10, -4, 2],\n [6, -10, -4, -9, 8],\n [8, -10, 1, -1, -9],\n [-9, 0, -3, -4, -6],\n [-5, -1, -4, 5, -5],\n [-10, -7, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[7, 7, 10, -4, 1, -1],\n [4, 4, 8, 2, -1, -4],\n [6, 6, 9, 2, 2, -9],\n [-9, 10, -9, -3, 1, 2],\n [10, -10, -4, 6, 3, 5],\n [8, 3, -2, 0, -7, -6]]\nB =\n[[-4, 6, 9, -8, -5, 2],\n [4, -5, 5, 4, -2, 5],\n [6, -5, 10, -9, 7, 1],\n [2, -4, -6, 5, 4, -7],\n [6, -2, -7, -10, 2, 2],\n [9, -6, 10, -10, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[8, -7, -10, 2],\n [-5, -9, -6, -4],\n [-2, -4, 9, -4],\n [10, -8, 3, -7]]\nB =\n[[-6, 2, -5, -9, 4, -3],\n [4, -6, -10, -3, -1, -1],\n [9, 6, 7, 4, 7, 6],\n [5, -1, 3, 5, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, 6, -1, 4, 2],\n [10, 2, 9, 0, 10, 0],\n [6, -8, 1, -2, 6, -7],\n [2, -6, -6, 4, -1, -9]]\nB =\n[[0, -5, 8, 9, 8, -6],\n [2, -7, -8, -4, -1, 3],\n [-8, 6, 5, -1, 10, -5],\n [8, 5, -3, -9, -1, -7],\n [-3, 0, 3, 10, -2, -2],\n [10, -2, 4, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -9, -9, 8, 2],\n [2, 6, -3, -5, -3],\n [-2, 10, 2, 4, 10],\n [10, -6, -3, 4, -2]]\nB =\n[[-2, -10, -4, -10, 10],\n [-10, 0, 0, 4, -9],\n [6, 10, 2, -5, 6],\n [-5, 6, 5, 9, -8],\n [-5, 9, -8, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-473", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 4, -7, -3, -6],\n [4, 2, -1, 7, 5],\n [7, -6, -8, -6, 5],\n [-5, 5, 7, -7, 8]]\nB =\n[[1, 6, -10, 7],\n [9, -10, 6, -4],\n [-2, -2, -9, 2],\n [4, -2, -4, -4],\n [-10, 7, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 9, 7, -1],\n [9, 4, -7, 2],\n [4, 10, -6, 4],\n [-9, -7, -10, -7],\n [10, 9, 10, -2],\n [-7, 0, -4, 5]]\nB =\n[[-8, -5, 3, -8, -4, 3],\n [8, 1, 8, -2, 0, 5],\n [-4, -4, 6, 6, 2, 7],\n [-6, 10, -8, -10, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[8, -2, -4, -3],\n [8, 3, 6, -1],\n [-9, 6, -9, -1],\n [-2, -9, -10, -2]]\nB =\n[[7, -4, 7, -9, -3, 10],\n [-6, 3, 5, -9, -8, -2],\n [-4, 8, -3, 10, 8, -4],\n [5, -6, -9, -8, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -5, 2, 0, -5],\n [-7, 10, -9, -6, 5],\n [10, 8, -7, 4, 3],\n [-1, 9, -4, 8, 7],\n [-3, 7, -7, 4, 10]]\nB =\n[[0, 7, -6, -9, 3, 6],\n [7, 8, 4, -9, -10, -7],\n [3, -2, 6, 0, -3, -1],\n [-7, -6, -8, 8, -10, -9],\n [6, 0, 0, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-618", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[7, 0, -5, 4],\n [-9, -5, -8, 5],\n [10, 2, 1, 4],\n [5, 4, -10, -8]]\nB =\n[[3, -4, -1, 7, -5],\n [-9, 2, 7, 6, 3],\n [4, 4, -1, -5, 7],\n [-1, 6, 6, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -10, 0, 9, -3, -4],\n [1, -9, 8, -7, -4, 5],\n [7, 4, -4, 8, 0, -9],\n [-5, -6, 7, -4, -8, -3],\n [-3, 2, -7, 1, -9, -9]]\nB =\n[[2, 5, 6, 1, -2],\n [2, -5, 0, 7, 9],\n [-5, -2, 2, -9, -3],\n [-8, 10, -7, 8, 0],\n [4, 1, -5, 4, -5],\n [-7, 4, -9, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 0, -10, 1, 2, 8],\n [-10, 0, 4, 1, -2, 9],\n [1, 8, -3, -3, 8, 3],\n [5, -6, -8, -10, -7, -9]]\nB =\n[[1, -3, 7, 6],\n [6, 3, 10, 9],\n [-6, -3, 6, 10],\n [-7, 5, -8, -6],\n [-4, 5, -7, 0],\n [-6, -4, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 5, -5, -7],\n [-6, 3, -5, 0],\n [5, -10, 5, 5],\n [-6, -10, 6, 7],\n [2, 10, 6, 0],\n [-10, 8, -5, 1]]\nB =\n[[-7, -7, 3, 5, 0, -9],\n [5, -4, -8, 0, -3, -6],\n [4, 5, -4, 9, 9, -9],\n [-4, 9, 0, -2, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -2, 3, 9, -8],\n [-5, -10, 3, -6, -2, 1],\n [-10, -2, 5, -4, 2, 5],\n [-8, -2, -4, 6, -9, 10],\n [2, 8, 6, 4, -9, -10]]\nB =\n[[5, -4, 0, -9],\n [9, -6, -3, -8],\n [-2, -3, -7, -4],\n [10, 1, -10, 4],\n [-1, 5, 5, 2],\n [3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1640", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, 9, 7, -3],\n [4, -5, -3, -6, 2],\n [9, 2, 1, 9, 8],\n [-5, 5, 5, -2, 9],\n [-3, 10, -6, -10, 4]]\nB =\n[[7, 1, 2, -6],\n [-10, 4, -8, 2],\n [-4, -6, 0, -6],\n [5, -10, 8, -5],\n [-6, -6, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 4, 8, -9],\n [8, 0, 9, -5],\n [3, 0, 9, 6],\n [7, 3, 3, 5],\n [1, -4, 10, 9]]\nB =\n[[-2, 4, -4, 1],\n [-2, -3, 6, 9],\n [8, 2, -1, -4],\n [-3, -8, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 4, -5, -2, 7],\n [3, -9, 0, 2, 8],\n [10, 1, 10, 5, 2],\n [5, 4, -10, 1, 4],\n [-6, 0, -10, -2, 0]]\nB =\n[[4, -3, 2, 9],\n [4, 4, 9, -3],\n [10, -1, -1, 6],\n [7, -8, 1, -5],\n [-6, 1, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[4, 1, 2, 7, 2],\n [8, -9, 6, -8, 2],\n [6, 5, -9, -4, 1],\n [9, 6, -7, -3, -7]]\nB =\n[[-4, 4, 10, 7, -8, -4],\n [2, 6, 10, -2, 1, -4],\n [10, -4, -10, -4, -8, 8],\n [-3, -2, 0, -4, 1, -8],\n [6, -1, -1, -10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 1, 1, -9, -1],\n [-4, 4, -4, -3, 10],\n [10, 9, 7, 8, -4],\n [-6, 4, -2, 2, -4],\n [-7, -1, 7, -1, -6],\n [1, -1, 0, 9, -4]]\nB =\n[[-10, -4, 10, 1, -3],\n [9, -6, -2, -6, -9],\n [5, -9, -7, 4, -6],\n [0, 10, -8, 1, 10],\n [-8, 0, 4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[8, -7, -4, -2, -10, 1],\n [-7, 8, 8, -8, 9, -2],\n [6, 0, -3, 6, -1, -7],\n [-10, -7, 5, 7, -10, 8],\n [5, 4, -4, 10, 10, -10]]\nB =\n[[8, 2, 2, 7, -8, 5],\n [-7, 6, 7, 8, 6, -9],\n [4, -10, 5, -2, -6, 10],\n [-3, 8, 7, -2, 4, -2],\n [1, 9, 3, -10, -8, -10],\n [10, 0, -8, -2, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 9, -3, -7],\n [2, -4, 8, -3],\n [10, -2, -1, -4],\n [-10, -5, 10, 7],\n [-9, 5, -10, 6]]\nB =\n[[10, 10, 3, 8, 4],\n [-7, -10, 4, -1, 2],\n [-6, -2, 1, 10, -1],\n [-7, 5, 1, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 8, -9, -8, 4, -5],\n [-8, 7, -7, -5, 4, -5],\n [9, -5, 2, -9, -5, 6],\n [-5, 8, 0, -6, 0, 5],\n [-3, 7, 6, 7, -3, -1]]\nB =\n[[4, -10, 0, 4, -1],\n [8, -8, -10, -5, 7],\n [6, -4, 10, 6, -2],\n [4, -5, -2, -7, 3],\n [6, 9, -9, -3, 6],\n [6, -9, -1, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -2, -4, 1, -2],\n [-4, -5, -6, 8, -10],\n [3, 1, -3, -9, 0],\n [10, 6, -7, 7, 7],\n [7, 1, -4, 1, 5],\n [-2, 9, 0, 1, 0]]\nB =\n[[5, 2, -5, -8, -1, 5],\n [1, 2, 7, -9, 8, -1],\n [5, -2, 8, -6, 10, -9],\n [-3, -8, 8, -8, -10, -1],\n [-4, -7, -9, 1, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1988", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 4, -2, -9, 6],\n [5, -3, 8, -10, 3],\n [7, 10, 10, 1, 10],\n [-1, -2, 0, -4, -4],\n [3, -6, -1, 4, 2],\n [-7, -3, 8, 10, 4]]\nB =\n[[4, -7, 7, 8],\n [2, -5, 6, 3],\n [9, -5, -10, 10],\n [8, 3, 4, 1],\n [4, -9, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1771", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -5, -7, 5, 6, 4],\n [1, -7, -4, 2, -5, 0],\n [3, 3, 3, 2, -3, 7],\n [-4, -8, 3, 2, 2, 0],\n [10, -1, -1, 5, 6, 6],\n [2, -2, -9, 1, 8, 9]]\nB =\n[[4, 5, 3, 5, 6, -9],\n [5, -9, -1, -2, -4, -2],\n [7, 6, 1, 3, -5, -4],\n [1, 3, 9, -10, 2, 7],\n [6, 2, 3, 8, 1, -4],\n [-8, -9, 5, 10, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -7, 2, 1, -10, 9],\n [2, -9, 6, 3, -9, -3],\n [-5, 9, -1, 5, 3, -5],\n [9, -6, -5, -2, 1, 3],\n [0, -8, -10, 2, -2, 6],\n [-10, -4, 9, 5, -5, 4]]\nB =\n[[0, -3, -1, 7, 5],\n [-3, 4, 4, -4, 0],\n [-2, 2, -5, 2, -10],\n [-2, 0, -10, 4, 1],\n [-1, 0, -3, 9, 9],\n [-4, -6, -9, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-864", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -9, -5, -5, -7],\n [-10, -9, -10, -3, 8],\n [0, -9, -1, 4, -4],\n [-10, -1, 2, 4, 10],\n [-6, 7, -9, 0, -10],\n [-10, -9, -2, 4, -3]]\nB =\n[[-10, 5, 1, -9, 8],\n [-2, 4, 9, 1, 1],\n [5, 5, -9, 4, 8],\n [-6, -7, -8, 10, -10],\n [5, 8, 9, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-776", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-8, -4, -4, -10, -7],\n [2, -2, -3, -4, 3],\n [-1, -9, -6, -1, -9],\n [6, -4, 5, -1, -6]]\nB =\n[[8, -3, -2, 8, -5],\n [2, -5, -2, -3, 10],\n [-1, 9, 8, 4, 3],\n [3, -7, -9, -1, 8],\n [9, 3, 10, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -6, -8, 3, -5, 3],\n [-4, -8, 6, -1, -10, 8],\n [-5, 2, 1, 10, 5, 0],\n [3, -2, -5, -7, -1, 10]]\nB =\n[[8, -8, -7, 9],\n [7, 6, -4, -6],\n [9, -4, -9, -8],\n [-2, -5, 0, 9],\n [7, 10, -7, -5],\n [-8, -5, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-692", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-9, -10, -1, 9],\n [3, 10, 6, -9],\n [1, 8, 9, -3],\n [-3, -9, 3, 10]]\nB =\n[[-10, 7, -8, -4, 8, -3],\n [9, -8, 9, 0, -5, 8],\n [9, 9, -4, -5, -8, 8],\n [5, -10, -4, -8, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 3, 4, 0, 10, 8],\n [-7, 8, 5, -9, -3, -3],\n [-6, 0, 8, 1, 4, -1],\n [-10, -1, 10, 5, 6, 5],\n [0, 8, -9, 9, -10, 2],\n [4, -1, -6, 8, -10, 6]]\nB =\n[[-9, -8, 6, 2, 6],\n [8, 3, -4, 4, -1],\n [-2, 6, -6, 4, -7],\n [-5, -4, 1, 0, -8],\n [9, 5, -4, 2, 1],\n [8, 9, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2720", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, -6, -6, 1],\n [10, 4, 2, -3, 2],\n [3, 6, -10, 9, 10],\n [3, 4, 2, 8, -2]]\nB =\n[[10, -8, 8, -4, -5, -6],\n [-6, -2, -4, -8, 4, 7],\n [8, 4, 8, 2, -6, 5],\n [5, -10, 3, 6, -2, 1],\n [8, 7, -7, -8, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-6, 3, 9, 7, -3],\n [10, -9, 10, -7, 7],\n [4, -10, -8, 10, 0],\n [-4, 9, 3, 5, 8],\n [3, 9, -3, -8, -1]]\nB =\n[[3, 7, 6, -4, 9, -6],\n [-3, 9, 7, 8, 8, -3],\n [-9, -5, -1, 5, -9, 2],\n [7, 2, -2, -1, -10, -6],\n [0, 8, -2, 5, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -5, 8, 0],\n [1, 9, 8, 5, -5],\n [-2, -4, 2, 10, -2],\n [7, -4, -3, 7, -9],\n [9, -4, -7, 3, 3]]\nB =\n[[7, 9, -9, -2, -3],\n [3, -2, -8, -9, 8],\n [1, -1, 4, 6, -10],\n [8, -10, -10, -5, -6],\n [-5, -6, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-479", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -8, 7, 6],\n [-8, 10, -2, -1],\n [-3, 10, -5, 2],\n [-5, 6, -1, 7],\n [-10, 3, -7, -4],\n [6, 6, -6, 0]]\nB =\n[[2, 3, -6, 5, -4, -8],\n [-4, 0, -4, -3, 4, 1],\n [-4, 0, 2, 8, -1, -8],\n [-9, 9, -5, 1, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, -5, 1, -4, 10],\n [-3, 8, 2, 8, -10],\n [-5, 8, 1, -8, 3],\n [3, 7, -5, -3, -7],\n [10, -1, -2, 6, -10],\n [8, 10, -9, 7, 10]]\nB =\n[[0, 7, 3, -4, -9, 0],\n [9, 2, -6, -1, -4, 5],\n [10, 4, 0, 8, -2, -3],\n [7, -1, 10, -7, -8, -6],\n [3, 10, 8, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-356", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -3, 9, 3, 8, -1],\n [10, -8, 9, 8, -4, -1],\n [-5, 10, -2, 0, 2, -2],\n [9, -9, -5, -1, 4, 0]]\nB =\n[[1, 9, 3, 4, -9, 10],\n [-3, -2, -1, -2, -8, 4],\n [8, -2, -3, 3, -5, -3],\n [8, -2, 7, 7, 10, 8],\n [7, -10, 8, -8, 10, -1],\n [-8, 10, 0, -7, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1600", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 2, -3, 5, 1],\n [8, -10, -10, 4, 3],\n [-5, 8, -3, -9, 1],\n [4, 6, 6, 7, 1],\n [-6, -10, -8, -8, -6],\n [9, -5, 10, -10, -10]]\nB =\n[[10, 9, -1, -10, -1],\n [9, 9, 1, 6, 0],\n [5, -9, 1, -4, 3],\n [-5, 6, 0, -8, 8],\n [7, 6, -6, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 0, 4, 7, -8, -10],\n [-9, -6, -1, -3, -10, -10],\n [-8, -8, -2, 10, -10, 1],\n [2, -3, -1, 0, 4, -10]]\nB =\n[[-3, -3, 8, -2, -6, 5],\n [-6, 4, -1, 7, 0, 3],\n [4, -4, 3, 5, 4, -5],\n [-4, -1, -2, 5, 7, 1],\n [-3, -8, -2, 1, -9, -4],\n [-8, -2, 0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1665", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -3, 8, 2, 3],\n [-1, 4, 9, -9, -2],\n [-10, -9, 5, -5, -6],\n [3, 10, -6, -1, -4],\n [2, 0, 2, 5, -6]]\nB =\n[[1, -7, -4, -10],\n [6, 1, 9, -2],\n [-2, -2, 3, -9],\n [-4, -3, 10, 10],\n [1, 5, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, 5, 8, 5, 2, 4],\n [-4, -2, 8, 8, -2, 9],\n [-5, -5, -1, -9, -8, -3],\n [9, 3, 7, -8, -6, -3],\n [-1, -4, 7, 2, 10, 9],\n [-1, 1, 3, 0, -8, 2]]\nB =\n[[-7, 4, -3, -4, -10],\n [0, -5, 5, -6, 7],\n [2, 0, -10, -5, 5],\n [2, 3, 1, 4, -5],\n [10, -1, -9, -7, 1],\n [3, -10, -6, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[1, -4, -8, -8, -2],\n [-10, -3, -10, -5, 0],\n [10, 3, -2, -4, 2],\n [-8, 6, -10, -4, 6],\n [9, 2, 6, 6, 9]]\nB =\n[[-10, 6, 2, -9],\n [0, 0, -2, -8],\n [8, 5, 9, 7],\n [6, -1, -5, 10],\n [10, 0, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 7, 5, 7, 1],\n [-4, -4, -1, 5, 10, -3],\n [-1, 1, -10, 6, 2, 6],\n [-2, 2, 0, 5, 6, -6]]\nB =\n[[-4, -4, 10, 6],\n [-5, 5, 2, -7],\n [-6, -9, 6, 3],\n [10, 1, -5, 0],\n [-4, -7, -3, 3],\n [-2, -6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 4, 2, 8],\n [4, -4, 9, 2],\n [-9, -1, -2, -2],\n [-8, 7, 9, 2],\n [7, 5, 9, -8]]\nB =\n[[10, 2, 1, 1, 6, -10],\n [-10, 7, 8, -4, -5, 4],\n [8, 3, 7, 4, 5, 4],\n [4, -4, -7, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1531", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, 4, 3, -6, -9],\n [-4, -5, -3, 6, 4, -8],\n [-2, 6, 8, 5, 5, -6],\n [-7, 6, -9, 1, -8, 1],\n [9, 5, 7, -1, 1, -2]]\nB =\n[[2, -4, 0, 9],\n [-8, -1, 6, -3],\n [5, 1, -8, 4],\n [-6, 9, 2, -2],\n [7, 6, 7, 7],\n [6, -5, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 5, -3, 10, -5, -10],\n [5, -1, 0, -9, -1, -9],\n [-3, -6, -6, 10, -6, -9],\n [8, 8, 6, 10, 2, 3],\n [-3, -8, 6, 3, -7, 6],\n [-3, 6, 8, -7, 8, -5]]\nB =\n[[-9, 7, -4, -3, 4],\n [-10, 1, -2, -6, 7],\n [6, 7, 0, 9, -10],\n [-4, -1, -3, -6, -6],\n [-1, -7, -8, 7, 2],\n [5, 0, -1, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 7, 8, 2],\n [-2, -6, 4, 1, 9],\n [-10, 0, -5, 2, 1],\n [0, -4, -9, -4, 8],\n [-5, -1, -10, -10, -4],\n [-3, 2, -10, -9, -2]]\nB =\n[[0, 0, 7, -8],\n [3, -4, 3, 3],\n [10, 10, -1, 1],\n [-9, -10, -1, 9],\n [-1, 6, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -9, 6, 8, 2, 2],\n [9, -6, 2, 9, -6, 9],\n [8, 0, -10, -6, 1, -2],\n [4, 4, 6, 10, -10, 4],\n [9, 8, -9, -1, 2, 9]]\nB =\n[[-7, 3, 0, 2, 8],\n [4, -9, 4, 1, 10],\n [-7, 6, 3, -7, 10],\n [-9, 0, -10, 10, -6],\n [10, 6, -4, -7, 1],\n [6, 9, -1, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -10, 7, 10, 1],\n [0, -7, -4, -3, 3],\n [-10, 6, -8, 3, 0],\n [1, -9, -2, 0, 9],\n [7, 6, 3, -8, 6],\n [5, 2, -2, 3, 2]]\nB =\n[[2, 4, -6, 3, 9],\n [5, 5, 3, 4, -4],\n [1, 3, -7, -6, -5],\n [-1, 9, -1, 7, -5],\n [-9, 3, -10, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1721", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -1, -3, -8],\n [1, 0, 1, 6, 9],\n [2, 3, -5, -7, -7],\n [-6, 7, -8, -3, 2],\n [4, 2, -9, -7, 2],\n [10, 4, -8, -4, -7]]\nB =\n[[-3, 3, 6, -4, -8],\n [-8, -6, -1, 10, -4],\n [-9, -10, -3, 4, -5],\n [5, -1, 6, 9, -5],\n [-9, 5, 4, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1524", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 8, -3, -8],\n [5, -5, -8, 10],\n [3, -2, -2, 2],\n [1, -5, -1, 7],\n [-3, 3, -8, 8]]\nB =\n[[-8, -7, 5, 8],\n [9, -9, 7, -10],\n [-2, -3, -1, 2],\n [-6, 5, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1342", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, -6, 3, 5],\n [3, -2, 7, 4],\n [5, -10, -9, 0],\n [-10, 6, 10, -5],\n [-5, 2, -3, 10]]\nB =\n[[8, 6, 7, 0],\n [-6, 0, 1, 5],\n [6, -9, 5, -4],\n [-6, 6, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, 7, 7, 4],\n [-5, -5, 5, -7, -6],\n [1, 10, 2, -8, -6],\n [-4, 8, -4, -10, 2]]\nB =\n[[5, -3, -8, 1],\n [-1, -9, -4, 0],\n [-6, 6, 8, 2],\n [-9, -5, 4, 7],\n [-3, -9, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 9, -8, 3, -9, -4],\n [9, 0, -1, -2, 3, 10],\n [-8, -1, -1, -7, 2, 4],\n [5, -2, 7, 10, 6, 4],\n [0, -8, -5, -2, -1, -5],\n [0, -8, -10, 10, 4, 7]]\nB =\n[[-10, -10, 8, 5],\n [-10, -2, 2, 9],\n [-3, -2, 3, -6],\n [-7, -5, -4, 2],\n [9, 6, -1, 9],\n [6, 7, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1716", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-3, -6, -7, 0, -3],\n [-1, -1, 0, 7, 8],\n [-1, -8, 9, -2, -4],\n [3, -3, 9, 6, -5]]\nB =\n[[7, -6, -4, -4, -8],\n [9, 2, -4, 4, 6],\n [-8, -4, 4, -2, 2],\n [7, 1, 6, -3, -4],\n [-9, 5, -2, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, 7, -8, -8],\n [0, -6, -7, -5, -5],\n [-1, 2, -9, -9, -10],\n [6, 9, 0, -1, -3]]\nB =\n[[10, -7, -7, 10, -10, -2],\n [1, -7, 1, 0, -9, 1],\n [9, 4, -9, 8, 9, -9],\n [-8, -1, -4, -1, -7, -3],\n [-2, -5, -5, -3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "870", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, 7, 5, 0],\n [-4, -8, -1, 10, -3],\n [3, 2, 2, 4, -7],\n [-5, -5, -2, -6, 10],\n [9, -1, 6, 3, -8],\n [0, -4, -5, -5, 3]]\nB =\n[[-6, -3, -3, -3, 5, -3],\n [-9, 6, -3, 5, 4, 2],\n [4, -3, 4, -5, 9, -1],\n [-4, -8, 0, -2, 2, 2],\n [-1, 3, 1, 1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 5, -7, 10, 6, -1],\n [-9, -4, 0, 5, 3, -4],\n [10, -3, -1, 8, 2, -4],\n [2, -7, 9, -7, 2, 4],\n [-10, 3, -6, 1, -2, -8]]\nB =\n[[-5, -3, -8, 7, -9],\n [-7, -5, -2, 0, 2],\n [1, 7, -7, 4, -9],\n [6, 10, 5, -4, -5],\n [7, 6, 3, 5, -5],\n [10, 0, 7, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1861", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -8, -1, -2, -6],\n [6, -10, 10, 0, -2],\n [4, -2, 1, -7, -3],\n [-5, -2, 4, 5, -8],\n [9, -1, -8, -6, 6],\n [-8, -10, 4, -7, -10]]\nB =\n[[-3, -3, 3, 4],\n [10, -5, 6, 7],\n [1, 10, -1, 10],\n [-9, 8, -10, -9],\n [9, -6, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 0, 4, -1, 4, -10],\n [6, 7, 0, 7, 6, 10],\n [-4, 2, 3, -8, 3, 5],\n [0, 9, 9, 4, 4, 5],\n [-6, 10, 3, 0, 2, -7]]\nB =\n[[9, 5, -6, -7],\n [3, 9, 8, 9],\n [3, 7, 6, 10],\n [-2, -5, -3, -7],\n [4, 5, -10, -4],\n [3, 0, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, -3, 8, 8, 6],\n [-7, 9, -6, -3, 2, 2],\n [5, -1, -6, 6, 7, -8],\n [2, 1, -7, 1, 10, -1],\n [2, 0, 5, 0, -1, -2]]\nB =\n[[-7, -2, -10, 1, 3, 7],\n [10, -8, -6, 5, -5, -8],\n [-8, 9, -5, 1, 7, 4],\n [-6, 1, -4, 3, -2, -8],\n [10, -8, 7, 9, 8, 2],\n [6, -5, 10, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -5, 1, -10],\n [-5, -9, -10, 6],\n [-1, -3, -3, -4],\n [-8, 0, -2, -9]]\nB =\n[[7, -8, 10, 5],\n [7, -8, -6, -8],\n [-4, 6, -1, 1],\n [-3, -8, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, 5, -8],\n [5, -10, -10, 0],\n [-2, 0, -9, -8],\n [4, 8, 4, 3],\n [8, 9, 3, -9]]\nB =\n[[3, -10, 9, -7],\n [-8, 5, -2, -5],\n [-3, -6, 3, 6],\n [9, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 2, 4, -2, 6],\n [10, -9, 0, -6, 2],\n [1, 1, 4, 4, -1],\n [0, 5, -6, -8, -3],\n [7, 2, 5, -10, 8]]\nB =\n[[4, -10, -8, -3, 2, 7],\n [-1, 8, -2, 5, 1, -9],\n [-7, 9, -8, 0, -2, -7],\n [7, 10, -7, 6, 2, 0],\n [-4, -6, 10, -4, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1795", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[7, 8, 8, 8, -1],\n [10, -6, 3, 7, -4],\n [-3, -5, 9, 6, -3],\n [-9, 5, -10, -6, -8],\n [8, 2, 6, -2, 3]]\nB =\n[[10, 1, -5, 1],\n [-10, 1, -3, -6],\n [-4, 9, 7, 4],\n [-6, -8, -6, 8],\n [7, -2, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -8, -1, -5, 0],\n [-8, 7, 0, -1, -7],\n [-3, 6, -1, -9, -4],\n [3, 3, 1, -7, -10],\n [4, 10, 7, 8, -10],\n [-7, -6, -8, -2, 6]]\nB =\n[[5, -1, 1, 4],\n [-2, -3, -8, -3],\n [4, -7, 4, -8],\n [8, -8, -4, 4],\n [-6, -3, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1757", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[2, -1, 6, 2, -7, -2],\n [-2, -1, -8, -8, 9, 3],\n [-2, 5, 1, -6, 2, 0],\n [-8, 8, -2, 8, -2, -2],\n [-10, 2, -3, -7, 10, 4],\n [-8, 6, 9, 7, 1, -8]]\nB =\n[[-1, 4, -1, 5, 9, -3],\n [9, -5, -1, 9, -1, -3],\n [2, -1, 5, 3, 1, -7],\n [-3, 3, -4, -2, -7, 3],\n [4, 1, -9, -3, 10, -8],\n [10, 9, -1, -9, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[10, -6, -1, -5, -8],\n [-5, -6, -8, -1, -4],\n [-5, 0, 5, -3, -2],\n [-9, 1, 4, 5, -3]]\nB =\n[[5, 9, 1, -8, 6, -2],\n [-10, -10, 10, 3, 3, 1],\n [2, -1, -9, 7, -4, 4],\n [-9, 6, -7, 10, -5, -7],\n [7, -7, -2, 2, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, -7, -4, 9, 8, 9],\n [1, 5, -6, 3, -2, -6],\n [6, -7, 10, 8, -8, -9],\n [1, -6, 8, -2, -10, -7],\n [3, 4, -3, 1, -10, 3],\n [-10, 1, 4, -9, -10, -5]]\nB =\n[[-10, 5, 6, -9, -3, -2],\n [-7, -9, 8, 10, -6, -4],\n [-3, 9, 4, -3, 0, -3],\n [-5, 7, 10, -7, 8, 5],\n [-8, 7, 6, -3, 1, -4],\n [9, -9, -4, -5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -3, -7, 3],\n [10, 3, 2, -6],\n [6, 1, 5, -4],\n [9, -6, 6, -8]]\nB =\n[[-9, 2, -2, 0],\n [10, -1, 9, 7],\n [-4, -6, -9, 3],\n [8, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[6, 2, 5, -9, 7],\n [8, 6, 7, -3, -2],\n [-4, 4, -8, 7, -9],\n [-3, 10, 1, -9, 8],\n [-3, -3, 7, 0, 3]]\nB =\n[[9, 7, 6, 3, -8, -1],\n [5, -10, -6, -9, -7, -5],\n [-6, 1, -7, 8, 8, -6],\n [10, -3, 9, 0, 0, 0],\n [8, -4, 0, 9, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 0, 3, -3, 4],\n [8, -1, 2, -6, 7],\n [6, 3, 5, 1, -6],\n [0, 9, -5, -8, -8],\n [-1, -4, 6, 10, -7],\n [-5, -1, 10, 9, -1]]\nB =\n[[-10, 1, 2, 5, 9],\n [-5, -4, -5, 8, -2],\n [1, -10, -5, -1, -2],\n [10, -9, 2, -5, -8],\n [-1, 10, -8, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 8, -1, -5, -2, 2],\n [-1, 5, -3, -10, 1, 8],\n [9, 6, 2, 10, 1, 10],\n [-7, 0, 0, 4, -1, -8],\n [-2, -2, 4, -7, 5, -4],\n [-9, 0, 4, -7, -4, -5]]\nB =\n[[-6, -8, 9, 3, 9, -7],\n [6, 1, 3, 6, -8, 0],\n [-5, 7, -2, 6, 6, 0],\n [7, -3, 8, 8, 1, -5],\n [9, -7, 8, 4, 1, 6],\n [7, 7, -4, 5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2525", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 6, 2, 1, -5, 3],\n [5, 10, 0, -5, 1, -6],\n [-10, -1, 8, 3, -9, 3],\n [5, -2, 4, -2, -1, 8]]\nB =\n[[-2, -9, -5, 1],\n [-9, 9, -4, -3],\n [0, 6, 10, -2],\n [9, 8, 3, 1],\n [-2, -10, -5, -9],\n [-5, 8, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, -2, 9, -7],\n [1, 5, 7, -3, -1],\n [-1, 8, 10, -1, -6],\n [4, -10, -10, 3, 9],\n [8, 9, 7, 10, 5]]\nB =\n[[1, -6, -8, -4, -3, 2],\n [1, -3, -3, -6, 1, 8],\n [7, 10, 6, 1, 4, 0],\n [-1, -2, 8, -1, 4, -1],\n [-7, -1, 3, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -9, -8, -1],\n [5, -5, -3, -3],\n [10, 0, -4, 5],\n [-1, 2, -3, 3],\n [0, 1, 4, 10]]\nB =\n[[0, 4, 4, 9],\n [-7, -9, -10, 5],\n [-9, -4, 9, 7],\n [-1, 8, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -2, -8, 8, 4],\n [6, 7, 6, 0, -9],\n [-7, -1, 9, 4, 5],\n [7, -9, 6, -4, 7],\n [-7, 9, -3, 6, 5]]\nB =\n[[-6, -2, 0, 3, -9],\n [6, -5, -2, -7, -10],\n [-7, 3, 0, 3, 5],\n [1, 6, 1, 4, 9],\n [-2, 1, -6, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 10, -3, -6, 0],\n [2, -10, 6, -5, 7],\n [-10, -1, -9, 4, 6],\n [6, -3, 7, 2, 7],\n [-7, -9, -7, 8, 9]]\nB =\n[[9, 1, 9, -5, -9, 10],\n [7, -10, 7, -8, -4, -4],\n [4, 4, 6, -7, -6, -1],\n [10, 0, 10, 3, -4, -7],\n [9, 2, 5, -1, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-1, 6, -9, 5],\n [3, 0, 5, -6],\n [7, -6, -4, 0],\n [-3, 7, -3, 5]]\nB =\n[[-4, -1, -8, 8, 3, 8],\n [-4, -6, 1, 9, 10, 3],\n [-1, -5, -2, -1, 2, -5],\n [8, 6, -4, 0, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -3, -10, 0, -3],\n [-10, 9, -7, 0, 6],\n [4, -1, 9, -6, 7],\n [-8, 5, -5, -8, -4]]\nB =\n[[7, -1, -3, -1],\n [10, 6, 6, 7],\n [-3, -4, -3, 9],\n [6, 1, 7, 9],\n [3, 5, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -1, 10, 5, 1],\n [7, 10, 10, 7, 5],\n [10, -10, -10, -7, 5],\n [7, -8, -6, 3, -3],\n [-7, 1, 3, -6, -2]]\nB =\n[[-10, -9, 3, 1, -4],\n [4, 3, 3, 0, 1],\n [5, 0, -8, 9, -6],\n [8, 5, -5, -4, -5],\n [7, -5, 1, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 5, -1, -2, -3],\n [5, 6, 8, 1, -5],\n [10, 4, 2, -7, -5],\n [4, 9, 6, -7, -1],\n [-3, -4, 10, -3, -8]]\nB =\n[[5, 4, 4, -5],\n [-4, 6, 0, -1],\n [-2, 1, -3, -3],\n [-4, -2, -8, -10],\n [3, 9, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 3, 7, -3, -5, -2],\n [3, -10, -1, 7, 4, 8],\n [-2, -4, 1, 0, 6, 0],\n [7, 3, -7, 0, -10, 10],\n [3, -3, -3, -8, 4, -9]]\nB =\n[[8, 9, -1, 9, -1, -7],\n [1, -10, 8, -3, -6, 0],\n [-2, -1, 6, -9, -3, 9],\n [8, 4, 6, -7, 1, 4],\n [8, 8, -1, 6, 6, 2],\n [-1, -1, 9, -5, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -7, 3, -3, 3, -7],\n [-4, 3, -3, -8, -7, 6],\n [3, -6, 0, 7, 2, 4],\n [5, 5, -8, 3, 5, -5],\n [6, -7, 8, 6, -2, 8]]\nB =\n[[-5, -7, 1, -4, 5, -7],\n [-2, -1, -5, -1, -3, 0],\n [-7, -2, 10, -8, 2, -1],\n [4, -10, 3, -5, 8, 10],\n [3, -9, 8, -5, 10, 5],\n [-6, 1, -2, -4, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -9, -4, 7, 9, 7],\n [-1, 6, -7, -4, -5, 10],\n [-10, 4, 2, 8, 10, -2],\n [-3, -6, 10, 3, -10, -1]]\nB =\n[[6, 10, -1, 5, 5],\n [9, -1, -7, -6, 9],\n [9, -7, -5, 3, 2],\n [10, 1, 2, 7, -7],\n [-4, -4, -9, -9, 1],\n [10, 6, -7, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-4, 3, 6, -9, -2],\n [3, -10, -10, 3, 2],\n [2, -1, 10, 6, 6],\n [-10, -7, 5, -9, 3],\n [10, 8, -10, 5, 1],\n [2, -5, -9, 5, -4]]\nB =\n[[-2, -7, 3, 4, -3, -9],\n [-7, 4, 10, -1, 4, -4],\n [9, 6, -1, 8, -10, 1],\n [1, 3, 7, -6, 2, 10],\n [-3, -1, 3, -5, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 10, 9, 4, -2, 8],\n [2, -1, -2, 9, -1, 0],\n [3, 4, 8, 1, 5, -9],\n [-10, 3, 3, 8, 0, 1],\n [8, 8, -8, -4, -2, -2]]\nB =\n[[-2, 0, -9, -1, 8],\n [-5, 5, -6, -1, 8],\n [-6, 7, 0, 8, 4],\n [0, 3, -1, 4, 6],\n [0, -7, 4, -5, 6],\n [3, -5, -1, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 4, -6, 8],\n [-9, -10, 2, 10],\n [-8, -3, 3, 5],\n [3, -4, -2, 5],\n [5, -9, -7, 5]]\nB =\n[[7, -3, -2, 7, -8],\n [10, -5, -7, 1, -3],\n [-5, 8, -3, -9, 0],\n [4, -6, 2, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[5, -5, -5, 2, -4],\n [3, -8, 2, 2, 5],\n [4, -2, 9, -1, -1],\n [4, -2, -1, -10, -4]]\nB =\n[[5, -4, 1, -3],\n [10, 8, -8, 1],\n [1, -2, 5, 3],\n [9, -6, 7, 3],\n [1, -7, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, -2, -7, 0, -3],\n [-7, 2, 1, -6, -9, -1],\n [6, -4, -7, 9, -5, 10],\n [-6, -10, 0, -5, 7, 7]]\nB =\n[[-5, 5, -10, 2],\n [-8, 1, 3, -1],\n [2, 6, 0, 8],\n [-2, -1, 6, -3],\n [-7, -6, -4, -5],\n [-8, 0, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 10, 6, -8, 4],\n [-3, -2, 8, -8, 7],\n [-6, -2, -6, -9, 3],\n [10, 9, 8, -2, 10],\n [1, 4, -2, -5, 8]]\nB =\n[[6, 8, 7, 5, 1],\n [-8, 1, -6, -2, -9],\n [-10, -10, -7, -9, -1],\n [9, -9, -2, -9, 4],\n [-1, -1, -5, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1631", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 2, -4, -7, 8, -8],\n [6, -10, 7, 4, 8, 10],\n [-6, 2, 5, -1, 5, -1],\n [10, -10, 3, 1, -2, 4],\n [-1, 9, 6, 9, 0, 8],\n [4, -1, -5, -9, -3, -2]]\nB =\n[[5, -5, 3, -10],\n [0, -8, 6, 8],\n [1, -9, 8, 9],\n [7, -8, 9, 4],\n [-8, -1, 0, -3],\n [-8, -10, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-3, -5, -10, 6, -1, -5],\n [-6, 10, 5, -5, 2, 10],\n [-4, -7, 6, -7, 1, -5],\n [4, 1, -1, 9, 2, -6]]\nB =\n[[10, -1, 8, -3],\n [3, -5, 9, 0],\n [-8, -9, 10, 2],\n [-3, 6, 3, 0],\n [0, -10, 9, 7],\n [10, -10, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[0, -2, 7, 4],\n [8, 8, -7, -6],\n [-2, 1, 6, -9],\n [-7, -2, 4, -6],\n [-2, 10, 5, -10]]\nB =\n[[7, 6, 0, -3, 9, -1],\n [2, -8, 6, 9, -2, -4],\n [-8, 9, 6, 3, 2, 3],\n [2, -9, 1, 4, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -6, -2, 10, -5, -1],\n [-5, 2, 1, -3, 3, 2],\n [5, 5, 7, -10, -7, -10],\n [2, -2, 3, -3, -10, -3]]\nB =\n[[-5, 8, 7, 0],\n [9, 4, -8, 0],\n [6, -10, 9, 7],\n [-3, 4, 9, 3],\n [1, 5, 7, -5],\n [3, -6, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-4, 3, -2, -6],\n [-10, -10, -6, -8],\n [2, -2, 10, 2],\n [-6, 0, 9, 8]]\nB =\n[[-3, 1, -8, -1, 7, 9],\n [-6, -7, 10, -4, 5, 5],\n [9, -5, 0, -6, 3, -6],\n [-2, -6, -4, 7, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-9, 5, -10, -1, 1],\n [-10, 9, -1, 6, -6],\n [-8, -3, 6, 0, -1],\n [6, 7, -9, 8, 2],\n [6, -9, 8, -4, 0],\n [-6, 9, -3, 1, -2]]\nB =\n[[8, -8, -3, -9],\n [-8, -9, 0, 3],\n [-6, -1, -6, 3],\n [2, 3, -7, -8],\n [-5, 5, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -4, -9, 0, -8],\n [0, 4, 10, 1, 1],\n [-1, -10, -7, -10, -10],\n [-10, -1, -5, 5, -6],\n [6, 1, -1, 0, 3]]\nB =\n[[8, 8, 2, -6],\n [7, 9, -5, -10],\n [-7, 5, -7, -4],\n [-6, -6, -1, -7],\n [7, 2, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1768", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 7, 0, 10, 10],\n [-6, -6, 2, -4, -4, 1],\n [-8, 10, -9, 10, -3, -6],\n [7, -8, -4, -9, -1, -2],\n [2, 4, 5, -10, 6, 3]]\nB =\n[[-10, -8, 6, 5],\n [-3, -3, 10, 4],\n [-9, 5, 3, 9],\n [8, 8, 7, 1],\n [-5, 10, 2, 5],\n [7, -3, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, 2, -4, -8],\n [2, -2, 2, -6, 10],\n [7, -5, 9, -3, -7],\n [-4, -8, 6, -2, -7],\n [-2, 8, 8, -8, -5]]\nB =\n[[1, -10, 8, 1, -5, 7],\n [-3, -6, -3, -4, 7, -4],\n [8, 5, 5, -9, -9, -3],\n [5, 3, 2, 6, 2, 10],\n [9, 8, -8, -7, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-852", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-2, -8, -6, -9],\n [0, -9, -6, 3],\n [-5, -3, -10, -2],\n [10, 8, 2, -7],\n [-3, -10, -9, -7],\n [-7, 2, 7, 1]]\nB =\n[[6, 7, -1, 5],\n [-1, -8, -9, 9],\n [-9, 0, -8, 9],\n [7, 5, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-3, 4, 10, -1, 1],\n [-9, -8, -9, -2, -3],\n [-1, -1, 7, 1, -3],\n [-7, 3, 5, -2, -4]]\nB =\n[[1, -9, -4, -4, -5, 6],\n [-1, -10, -7, 2, -7, -1],\n [-5, 9, 0, -8, -4, -3],\n [-7, -4, 7, 5, -10, 9],\n [8, 1, -8, -5, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 8, 6, -9],\n [1, 4, 4, 10],\n [6, -9, 10, 7],\n [-4, -6, -2, 1]]\nB =\n[[7, 9, -2, -10, 0, -10],\n [8, -1, -1, -6, -3, -4],\n [9, -4, -10, -2, -9, 8],\n [4, -7, 0, 8, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1530", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 10, -1, -1],\n [-5, -1, -2, -5],\n [-8, -1, -4, -7],\n [-5, -3, -10, -7],\n [-1, -10, -5, -2],\n [-1, -5, 6, 0]]\nB =\n[[-10, 4, -7, -8, -5],\n [2, 6, -8, 5, -4],\n [9, -5, 7, -10, -3],\n [-1, -4, 1, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 0, -1, -2, -4, 5],\n [-4, -1, -2, -6, 9, -1],\n [-6, 5, 8, 7, -3, -1],\n [1, -2, 9, 5, 6, 10],\n [-4, 5, 4, 5, -1, 7]]\nB =\n[[2, -8, 3, -1, 7],\n [1, 5, -2, -5, -5],\n [4, 7, 3, -2, -1],\n [-8, -4, -3, -2, 8],\n [-2, -10, -4, 8, 9],\n [-5, 8, 7, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1478", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, -8, 2],\n [1, 7, 2, 7, 7],\n [7, -1, 9, -10, -7],\n [3, 4, -2, 3, 8],\n [3, 8, -3, 6, -4],\n [4, 9, 1, -10, 8]]\nB =\n[[-9, 2, 3, 5],\n [1, 10, -9, 9],\n [6, 6, -5, -5],\n [-6, -8, -7, -8],\n [-2, 8, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, -5, -9, -10, -10],\n [-4, -6, -1, -3, 8, -9],\n [2, -5, 8, -5, -3, 9],\n [-2, 6, -6, -7, 3, 4],\n [2, 3, -8, -9, -7, 4]]\nB =\n[[5, 2, 9, -6],\n [5, 2, 4, -3],\n [-10, -7, -6, -3],\n [6, 3, -1, -4],\n [-4, -3, 9, 5],\n [-1, -7, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, -4, -7, 4, -10],\n [-8, -2, -8, 10, -5, -2],\n [-10, 1, 1, 2, -7, 10],\n [1, 8, -5, 4, -4, 1],\n [10, 4, 0, 7, -8, -4]]\nB =\n[[-1, -10, -4, 6, -5],\n [-7, 10, -1, 0, 10],\n [4, -9, 6, 1, -2],\n [6, 5, -5, 6, 6],\n [-10, 4, -8, 7, 4],\n [-3, -3, 3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1783", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -5, 9, 5, 10],\n [10, -1, -3, 0, -10],\n [9, 5, -6, 4, 5],\n [9, 0, 4, 3, 6],\n [9, -6, -6, 6, -7],\n [-8, -6, -7, -9, -7]]\nB =\n[[0, -6, 5, -7, 7, 1],\n [-10, -8, 4, -10, 10, -5],\n [-10, 5, 9, -1, -9, 4],\n [-1, -9, 5, -8, -4, 8],\n [-5, 3, 1, 7, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[6, -10, 0, -9],\n [-2, 3, -9, -4],\n [-5, -2, 2, 2],\n [1, 9, -6, -4]]\nB =\n[[-9, 2, 4, -2],\n [10, 7, -3, 8],\n [1, -2, -1, 5],\n [3, -3, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -7, -4, 10, -3],\n [7, 5, -2, -6, 0],\n [5, 0, -1, -8, 8],\n [-9, 8, -1, -2, 10],\n [2, -1, 10, -4, -2],\n [-4, 9, -4, -6, -4]]\nB =\n[[5, 9, 9, -2, 2],\n [-5, 7, 4, -10, -3],\n [1, 4, -4, 8, 10],\n [9, 4, -6, 4, 0],\n [3, 5, 4, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 5, 9, -4, 4, 1],\n [-1, -1, 4, -5, 6, -1],\n [3, -1, -7, -8, -3, -10],\n [0, -6, 0, 5, 9, -2]]\nB =\n[[10, -6, -10, -7, -8, -2],\n [2, -2, 6, -1, 2, -5],\n [4, -1, -7, -9, 7, 5],\n [-9, -2, -8, 2, 3, -4],\n [0, -7, 5, 8, -3, -2],\n [5, 4, -1, 9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 8, -6, 0],\n [-1, -9, -10, 2],\n [4, 9, 6, 8],\n [-9, 2, 9, 6],\n [-8, -7, 8, -9],\n [-5, 3, 8, 4]]\nB =\n[[-7, -9, -5, -2],\n [-3, 7, -4, 9],\n [-6, 0, -9, 2],\n [-9, -5, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -9, -8, -10],\n [-3, 4, -5, -8],\n [-3, -3, -4, -6],\n [3, 2, 6, -10]]\nB =\n[[-5, 8, 3, 1, 4],\n [-1, 4, -3, -4, -5],\n [7, -2, -8, 10, 2],\n [-9, -5, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 7, 5, 0, -8, -4],\n [-1, -3, -9, -3, 10, 0],\n [1, -3, -9, -2, 5, -2],\n [-9, -10, 10, -1, -5, -1],\n [-3, -8, -5, 4, -5, -5],\n [7, -8, -8, -1, -7, 2]]\nB =\n[[2, -6, -4, -6],\n [6, 6, -9, 7],\n [-3, -4, -2, -3],\n [9, -2, -8, -5],\n [0, 9, 1, -5],\n [1, -3, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 8, 5, -2],\n [5, -6, -2, 10],\n [7, 9, -10, 10],\n [-10, 1, -9, 10],\n [-7, -4, -8, -9],\n [5, -10, 10, -9]]\nB =\n[[-3, -1, -10, -4],\n [-4, -3, -5, 4],\n [-7, -4, 1, 6],\n [-2, -7, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 5, 7, 10],\n [10, -8, 9, -1, 4],\n [3, -4, 1, -10, 1],\n [-6, 10, -8, 9, -1],\n [2, -7, 5, 2, -10]]\nB =\n[[8, -2, -8, -4],\n [3, 7, -6, 5],\n [5, 3, -7, 3],\n [5, -5, -8, 7],\n [1, -3, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 5, 8, -5, -9],\n [10, -9, 8, -4, 6],\n [-3, -5, 7, -8, -6],\n [2, 8, 10, 8, 1],\n [4, 0, -10, 4, 6]]\nB =\n[[2, -1, 1, -6, -8, 6],\n [4, 0, -8, -6, 8, 0],\n [10, -10, -5, 4, -1, 7],\n [1, -3, -7, 4, 0, -7],\n [-8, 0, 8, -1, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-3, -3, 6, -3, -1, -5],\n [-1, 0, -5, 10, 3, 1],\n [-1, -2, 8, 5, 10, -5],\n [7, -8, 3, 6, -1, -7],\n [1, -8, -1, 0, 2, 7]]\nB =\n[[3, 7, 4, 10],\n [-10, 5, 7, -4],\n [2, 10, -8, 10],\n [7, 10, -2, 3],\n [1, -8, -2, 2],\n [10, -3, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 7, 0, -10, 1, 2],\n [4, -3, 7, 2, 9, -7],\n [6, -5, -9, -2, -9, 9],\n [-1, 2, 8, 1, -10, 9]]\nB =\n[[-10, -3, -2, 9, -1, -7],\n [0, -10, 10, -9, 6, 10],\n [-10, -2, 10, 3, 2, -9],\n [5, 0, -9, 2, 1, -7],\n [4, 4, -6, 10, -6, -9],\n [-1, -2, -1, 3, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-6, 8, -6, -10, -2, -2],\n [10, 4, -10, -6, -1, 6],\n [10, -5, -5, -7, 6, 1],\n [-8, -4, 3, 9, 7, -7],\n [-4, 6, 4, -10, 6, 1]]\nB =\n[[10, -7, 7, 1, 0],\n [8, 5, -8, 6, 6],\n [10, 6, 5, 1, 0],\n [5, 9, 3, 4, -10],\n [4, -4, 10, 10, 3],\n [-4, 2, -4, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 7, -9, 7, -10],\n [-3, -5, -4, 0, 8],\n [-1, 8, -4, 10, -10],\n [-1, -2, 10, -7, 7],\n [-4, -9, -8, -9, -7],\n [-2, 3, 10, -10, 3]]\nB =\n[[-4, -7, -9, 2, 9],\n [-4, 2, -9, -7, -5],\n [-5, -1, 3, -8, 3],\n [-10, 7, -10, 6, 2],\n [-3, 2, -1, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -7, 1, -4],\n [6, -8, 10, -9],\n [3, -1, 7, 3],\n [-9, -8, -8, 2]]\nB =\n[[5, -1, 3, 10],\n [6, -7, 0, -8],\n [5, 4, 7, 6],\n [-5, 10, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 2, 4, -7, 3],\n [1, 10, -2, 3, 9],\n [7, -5, -6, -8, -3],\n [6, 0, 2, 8, -6]]\nB =\n[[-1, 6, -1, -6, -9, 5],\n [0, -8, -1, -1, -8, -4],\n [-9, 6, 1, -7, 6, -2],\n [-1, -8, -7, -8, -2, 5],\n [3, -8, -3, -9, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[0, -5, 9, 2],\n [-1, 8, 3, 3],\n [-8, 3, 0, -8],\n [2, 5, -6, 6]]\nB =\n[[-4, 10, 4, -2, -8],\n [-6, 8, 9, -5, -3],\n [5, 0, 1, 5, -8],\n [4, 7, 9, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 2, 7, 8],\n [7, -7, 8, -10],\n [-1, 2, -2, 10],\n [-4, 5, -9, -5],\n [1, 0, 5, -4],\n [2, -8, 9, 1]]\nB =\n[[5, 7, -9, 8, -4],\n [8, 10, 0, 0, 8],\n [4, 4, 2, -1, 2],\n [-1, 4, 7, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[8, 0, -3, -4],\n [-3, 1, -5, -4],\n [5, -4, 8, 1],\n [-7, 5, -8, 6],\n [-7, 4, 2, 9]]\nB =\n[[9, 4, 9, 7],\n [9, 1, 9, 0],\n [5, 10, -5, -7],\n [-3, 3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[5, 8, -9, -6, 1, -9],\n [10, -5, -10, -10, 0, -5],\n [6, 9, 0, 5, -6, 0],\n [-6, -4, -8, -6, -6, -3]]\nB =\n[[-1, -1, -3, 6, 2, 3],\n [-7, 3, 9, 5, 5, -10],\n [6, 2, 10, 3, 5, 1],\n [-10, -6, 2, -6, -1, -3],\n [2, -7, 1, -7, -1, -7],\n [-5, 10, -3, 10, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[0, 7, -3, -8, 8],\n [3, 2, -9, 9, 0],\n [-6, 9, -4, 2, 6],\n [-6, 10, 2, -1, -6],\n [8, -4, -7, -3, -7],\n [-2, 2, 1, 1, -6]]\nB =\n[[-9, 6, -3, -6, 5],\n [-4, -7, -3, -10, 10],\n [3, -9, -5, -7, 9],\n [-6, -7, -4, 1, 3],\n [-6, 1, -4, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[7, 8, -10, 0, -1],\n [10, 2, -9, 6, 8],\n [-6, 4, 8, -4, -9],\n [-5, -6, 3, 6, 10]]\nB =\n[[-9, -10, -3, -8],\n [-1, 5, 6, -6],\n [2, -10, 1, -3],\n [3, 0, -6, 6],\n [6, -4, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -2, 9, -4, 9],\n [-10, 10, 8, 6, -9],\n [-5, -8, -5, -1, -2],\n [4, 1, -2, -8, 4]]\nB =\n[[-6, -8, -1, 2, -6],\n [-5, 0, 8, 7, 5],\n [4, 4, -6, -1, -7],\n [6, -1, 9, 7, 1],\n [10, 9, -6, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 0, 9, 5, 3, -9],\n [-5, 3, 1, 8, 8, -8],\n [2, -6, -8, -9, 8, 8],\n [-4, -6, 7, -5, 1, 8],\n [3, 3, -10, -4, -6, -3]]\nB =\n[[2, 1, 3, -5],\n [7, 3, 6, -3],\n [4, 10, -4, 8],\n [-10, -3, -7, -4],\n [8, -8, -7, -2],\n [7, 8, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, 9, -3, -3, 8],\n [8, 4, -6, -7, 8, -3],\n [-3, 5, 6, 10, -1, 6],\n [-2, 6, -6, 3, -7, 5],\n [-10, 9, 4, -10, -4, 9],\n [4, 0, -5, 6, 0, 2]]\nB =\n[[-10, -8, 3, 9],\n [3, -7, 2, -5],\n [4, 2, -3, -7],\n [5, -10, 10, -4],\n [1, 5, 10, -4],\n [-7, 2, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, -1, -6, -7, 9],\n [10, -5, 2, -8, -10],\n [8, 5, 6, -1, -1],\n [-10, -4, -7, -2, -8]]\nB =\n[[0, 4, 8, 3],\n [-9, 0, -6, 8],\n [-4, -10, -6, -8],\n [-1, -4, 6, 9],\n [-2, 9, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -4, 8, -8, 4],\n [-1, 5, -4, 4, 6, 6],\n [5, 9, -5, -1, -6, 10],\n [-9, 0, 7, 8, 4, 7],\n [-3, 9, -6, 2, 10, -1],\n [-2, -3, 10, 4, 4, 10]]\nB =\n[[2, 3, -5, -5],\n [6, 3, -10, 8],\n [-5, -3, 9, -8],\n [-10, 6, 10, 5],\n [-9, -2, 6, 9],\n [-10, 6, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -1, -7, -9, -9],\n [1, 3, 6, 8, 6],\n [0, 7, 0, 1, -1],\n [1, 8, 1, 5, 5]]\nB =\n[[10, 7, -3, -4],\n [6, 6, 2, -10],\n [4, -8, -10, 10],\n [3, 7, 10, -7],\n [0, 7, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, 1, -3],\n [1, 6, -6, -8],\n [-3, -7, -1, 3],\n [-10, -6, 10, -2]]\nB =\n[[-1, 8, -10, -9, 6],\n [9, 5, 6, 7, 4],\n [1, -5, 9, -6, 0],\n [0, -9, 5, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-7, 2, 6, 8, 2],\n [-10, -3, -7, -1, 8],\n [-3, 9, 2, -8, 0],\n [-9, 6, -8, 5, 5],\n [-9, -1, -5, -5, 9],\n [-1, 10, -3, -1, -5]]\nB =\n[[4, 5, 0, -6, -7],\n [2, -8, -4, -1, 0],\n [8, 1, 4, -7, 8],\n [-2, -1, -4, 5, -5],\n [-7, -8, -10, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 7, -1, 1, -1, -9],\n [2, -9, 9, 0, 0, -3],\n [8, -3, -5, 7, -4, 10],\n [-9, 4, 2, -9, -5, 7]]\nB =\n[[-2, 8, 3, 5, 2, 5],\n [-4, 10, 3, 4, 8, 0],\n [-1, 8, 5, 7, -6, 6],\n [-9, 0, 8, -10, -6, 10],\n [-7, 1, -3, 4, -1, 8],\n [7, -7, 10, 0, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 0, -3, -10, 8],\n [-9, 7, -2, 2, 8, -9],\n [10, 4, 0, -4, -9, -4],\n [0, -9, -6, 3, 10, -1]]\nB =\n[[10, 7, -1, -5, -10, 7],\n [9, 1, -4, -4, -8, 10],\n [9, -7, 4, 0, -10, 10],\n [4, -4, -9, -2, -1, 3],\n [0, 1, 8, 4, 8, 4],\n [1, -4, -2, -10, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1917", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -10, 10, 7],\n [6, 6, 0, -5],\n [-9, 0, -5, -3],\n [3, 5, 0, -5],\n [9, 6, 4, 10]]\nB =\n[[10, 2, -4, -5, -9, 7],\n [2, 4, -4, -2, -10, 1],\n [-4, 9, -9, -7, -2, -8],\n [-6, 10, 0, -6, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2287", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -4, -5, -8],\n [-7, -3, 9, -10],\n [-2, 4, -1, -10],\n [3, -9, 4, -4],\n [-10, 0, 0, 8]]\nB =\n[[3, 1, -6, -10, -4, 9],\n [-1, -3, -7, -9, -10, 9],\n [10, 8, 3, 9, -3, 4],\n [-5, -4, -1, 7, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-6, 2, 0, 1],\n [-9, -4, -3, 8],\n [5, -8, 6, -9],\n [10, 8, 0, -3],\n [-9, 10, 2, -9]]\nB =\n[[-7, -4, 0, 5, -4, 2],\n [-4, 7, -3, -1, 4, 2],\n [10, 7, 10, -2, -10, -10],\n [-4, 3, -1, -5, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -4, -10, -5, 7],\n [5, 6, 4, 2, -5],\n [4, 8, 2, 4, -2],\n [-7, -1, 9, -5, -1],\n [-6, -9, 10, 9, -6],\n [-9, 3, -1, -2, -1]]\nB =\n[[10, 6, 0, -3, -9],\n [-7, 8, 10, 9, 0],\n [6, 5, 7, 3, -5],\n [9, -5, 5, -7, -5],\n [-3, 10, 5, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[-1, 0, -2, -5],\n [4, -8, -4, 7],\n [5, -4, 9, 0],\n [0, 3, -7, 3],\n [-7, -3, -2, 6],\n [10, 0, -6, -8]]\nB =\n[[0, 6, -1, -1],\n [5, -8, 5, -7],\n [8, 5, 1, -3],\n [3, -8, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-5, 5, -1, 10, 3],\n [7, -4, 2, 7, -4],\n [-9, 10, -8, 1, 1],\n [-4, 6, -6, 7, 8],\n [1, -9, 0, 8, 5]]\nB =\n[[6, 7, 5, -2, -9, 7],\n [-10, 6, -7, 7, -4, -1],\n [8, -6, -1, 0, -8, -4],\n [9, 1, -7, 0, -8, -1],\n [-3, -1, 10, -2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, -2, -4, 4, -1],\n [8, -9, 7, 1, -1, -3],\n [2, -5, 9, 6, 10, 2],\n [-9, -7, 7, 4, 10, 0],\n [-10, -6, -10, 4, -7, 2]]\nB =\n[[-2, 3, -7, 8, 3],\n [-7, -6, -1, -9, 1],\n [10, 6, 8, -5, 7],\n [-3, -4, -3, 2, 7],\n [6, 6, 5, -10, 6],\n [9, -6, 10, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-7, 10, 8, -2],\n [10, 9, 0, -6],\n [-4, -10, -3, 7],\n [-7, 0, 4, -5]]\nB =\n[[4, -6, -8, 1, -9],\n [3, 8, 9, 9, -1],\n [-3, -5, 8, 7, 4],\n [5, 3, 7, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 10, -2, -3, -9],\n [6, 7, -3, 1, 4],\n [-5, -4, -1, -4, 1],\n [-6, 4, -6, 10, 4],\n [-9, -3, -10, 10, 1]]\nB =\n[[-10, 8, 3, -6],\n [-5, 9, -1, 5],\n [-7, -10, -10, -4],\n [-3, -1, 10, 5],\n [8, 1, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "997", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -10, -3, 7, 3],\n [-7, -8, 9, 8, 3],\n [-5, -2, 4, 8, 5],\n [7, 0, -7, 10, -3],\n [9, 9, -9, -5, -7]]\nB =\n[[6, 9, -6, -1, -6],\n [2, -3, 9, -1, -6],\n [-6, 6, -7, 3, 0],\n [-1, -8, 6, 5, -10],\n [-5, 4, -3, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1392", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -5, 3, -3, 9],\n [-6, 5, 10, 10, -8, 1],\n [-8, 9, 9, -7, 2, -7],\n [-7, -9, 4, -2, 6, -7]]\nB =\n[[-9, -7, 8, 8, 1, -3],\n [0, 6, 5, 5, -9, -6],\n [2, 4, -10, -1, 6, 10],\n [-4, 1, -4, 6, 2, -9],\n [5, 0, -6, 7, 10, -5],\n [9, -10, -10, 2, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -3, 10, -8, 1, 5],\n [-9, -8, -10, 3, 1, -10],\n [-9, 7, 10, -10, -10, 3],\n [-10, -8, 5, -1, 0, 0],\n [-6, 8, -9, 3, 9, -7]]\nB =\n[[0, -1, -10, 3, 4, 3],\n [-4, 4, 2, -2, -1, 3],\n [6, 6, 8, -4, -2, 8],\n [-5, -9, 0, -5, -9, -4],\n [5, -8, -4, 5, 1, -5],\n [7, -1, -1, -2, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2397", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 1, -3, -10, 4, -7],\n [10, -6, -1, -8, 1, -2],\n [-10, -10, -4, -5, -8, -4],\n [-6, -9, 7, -6, 9, 4],\n [10, 0, 0, 3, 8, -10]]\nB =\n[[0, 0, -4, 9, -7, 10],\n [5, 0, -10, 2, -10, 10],\n [7, 10, -9, -6, 2, 9],\n [-8, 7, -4, -4, 6, -5],\n [-10, -9, 1, -3, -5, 2],\n [8, 10, -4, -1, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2592", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -3, -7, -6],\n [-1, 5, 2, -1],\n [1, 9, -10, 9],\n [-8, -2, 5, 1],\n [-4, -4, -3, -5]]\nB =\n[[0, -2, -8, -3, 1, 6],\n [-2, 0, -3, -7, -2, -7],\n [10, -7, 1, -7, 8, -6],\n [-7, 3, 1, -7, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -6, 10, -1, 0],\n [-5, -6, 3, 6, 6],\n [-7, 9, -3, 5, -2],\n [0, 3, -8, -6, -1],\n [-8, 10, -6, -9, -2]]\nB =\n[[-8, 8, -8, 2],\n [-7, 5, 8, 6],\n [9, -10, 2, -3],\n [9, 3, 10, 9],\n [-2, -3, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1587", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[5, -9, -6, -10, -9, -4],\n [6, -10, -8, -8, 4, -2],\n [2, 1, 9, 0, -5, 9],\n [-7, 0, 8, 3, 9, 10],\n [-8, 8, -8, 9, 6, 3],\n [10, -7, -7, -3, -10, 3]]\nB =\n[[8, 4, 10, -2, 1],\n [-5, 4, 9, -8, -3],\n [4, -1, 9, 4, -1],\n [9, -6, -6, -6, 10],\n [6, 10, -4, -3, 4],\n [-6, -5, -9, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -2, 4, -7],\n [-4, 4, 8, 2],\n [9, 6, -1, 8],\n [10, 3, -2, -3],\n [6, 4, -6, 4],\n [6, 2, 0, -4]]\nB =\n[[-2, 0, 9, 2],\n [4, 10, -5, -8],\n [-8, 7, 8, 10],\n [3, -5, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -9, 1, 8, -2, 5],\n [-7, -10, 8, -8, 1, -2],\n [10, -8, -7, 9, 6, 0],\n [-6, 5, -5, 2, 4, -8]]\nB =\n[[2, -4, 9, -4],\n [4, 3, 4, -5],\n [-5, 3, 6, 4],\n [-6, 1, 7, 3],\n [-8, 2, -2, 1],\n [3, -10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1101", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -4, -7, 6],\n [-7, 2, -8, -7],\n [10, 1, 4, 2],\n [-3, 8, 0, 7],\n [-9, 9, -3, 9]]\nB =\n[[1, 2, -9, -9, -6],\n [2, -4, 0, 2, -3],\n [3, 3, -5, 8, 2],\n [-10, 4, 3, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -9, -6, 5, 5],\n [6, 4, -1, 4, 7],\n [0, 2, 0, -1, 8],\n [3, 0, 0, 10, -4],\n [8, -7, -8, -7, -1],\n [-10, 8, 6, -6, -5]]\nB =\n[[0, -9, -3, 0, 0],\n [-5, -1, 9, -1, 6],\n [-7, -8, 2, 9, -10],\n [4, -6, 1, -4, -9],\n [6, -2, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 0, 7, 7, -5, 7],\n [-7, 0, 10, -5, -6, 3],\n [5, -10, -7, -9, -5, 4],\n [-4, 0, 3, 5, 9, 0],\n [-4, 9, 10, 1, 7, -5],\n [-5, 1, -3, 0, 2, 10]]\nB =\n[[-1, 8, -7, -3, 5, 9],\n [9, 9, -6, -9, 10, 6],\n [-1, -8, -5, 8, 3, -4],\n [8, -4, -10, -9, -2, -9],\n [8, -5, 9, -4, -10, 5],\n [0, -10, -10, -5, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-799", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -7, 1, 1, 9],\n [5, 3, -1, 8, 9],\n [-6, -1, 2, 1, -5],\n [0, 7, -5, 10, 8],\n [-6, -8, 0, -4, -1]]\nB =\n[[-3, -2, -8, 5, 10, 10],\n [-9, 9, -8, -5, -3, 6],\n [3, 2, 10, -2, -3, -6],\n [0, -6, -5, 2, 2, -6],\n [2, -2, 5, 9, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1858", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 9, -10, -5],\n [-2, 6, -1, -5, 6],\n [5, 5, 3, 2, -5],\n [5, 0, 2, -5, -6],\n [8, -8, -8, -9, 2],\n [-1, -3, -5, 4, 6]]\nB =\n[[-7, 0, -8, 0],\n [-5, -5, 9, -1],\n [8, 4, 0, 5],\n [10, 7, -6, 10],\n [4, -2, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-819", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -4, 3, 7],\n [8, -9, 8, 2],\n [-8, 3, 8, -2],\n [-10, -7, 5, 0],\n [7, 5, 7, 1],\n [-2, -3, 0, 9]]\nB =\n[[7, -8, 3, 1],\n [2, 8, 2, -9],\n [-1, -3, -5, 2],\n [-8, 5, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -5, -5, -9],\n [0, -9, -3, -1, 2],\n [1, -6, 0, 6, 3],\n [-2, -4, -5, -5, -10],\n [-2, -8, 6, -6, -3]]\nB =\n[[4, -4, 1, -9, -5],\n [6, 7, -2, 0, 6],\n [0, 8, 8, -6, 8],\n [-9, -10, -10, -2, -1],\n [-6, -4, -2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 0, 2],\n [-2, 0, 7, -9],\n [-2, 3, -8, -7],\n [-5, -10, -2, -4],\n [-8, 7, 9, -7],\n [5, -10, 2, 7]]\nB =\n[[-7, 0, -9, 0, -4],\n [6, -1, -2, 10, -7],\n [-6, 0, 6, 4, 8],\n [-1, -2, 9, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1386", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -3, -1, 9, 0, 3],\n [-6, 2, -7, 7, 3, -3],\n [2, 5, 1, 3, 10, 0],\n [0, 10, -3, -4, 3, -2],\n [-5, 10, 8, 5, -3, -10],\n [0, 6, 1, -8, 7, 2]]\nB =\n[[3, -8, -4, 9, 2, 5],\n [-7, -7, 5, -7, 7, 5],\n [10, 8, -6, 5, 4, -2],\n [9, 9, 9, 3, 2, 1],\n [-4, -6, 9, -8, -4, 3],\n [-10, 5, -8, -5, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -1, -6, -2, -9],\n [-7, 0, 6, -8, -5],\n [-1, 5, -10, -1, -3],\n [0, -2, 2, 2, 2]]\nB =\n[[-8, -6, -7, 2, -2, 10],\n [-9, 7, -8, -5, -6, -8],\n [-4, -9, 2, 3, 5, 5],\n [5, 8, 1, -1, -9, 5],\n [-2, -2, -7, -9, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[7, 7, -6, 5],\n [-9, -1, -2, 6],\n [-5, -3, 3, -2],\n [-3, 8, 0, 9],\n [3, 7, 0, -6],\n [5, 10, -5, -8]]\nB =\n[[-3, 7, 8, 1, 4, -7],\n [1, -1, 6, -1, -1, -10],\n [-8, 9, -6, 7, -6, 5],\n [-4, -6, 5, 0, -5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, 3, 1, -2],\n [-9, -6, -10, -10, 10],\n [-4, -2, 3, -2, 9],\n [-3, -2, 5, 8, 4]]\nB =\n[[1, -2, -6, -4, 8, -10],\n [2, -5, -2, -4, 5, 0],\n [-4, -8, 0, -7, -3, 6],\n [-10, 7, -1, -6, -3, 1],\n [-10, -2, -5, 3, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 7, 10, 3, 2, 9],\n [5, -5, -7, -2, 9, -2],\n [-5, 0, 10, 4, -6, -8],\n [-1, 4, -9, 0, -2, -6],\n [-10, -7, 5, -8, 2, -7],\n [-2, -3, -6, 7, 3, 7]]\nB =\n[[8, 10, -3, 4, 9],\n [3, -7, -3, -6, -8],\n [1, 3, 2, -2, -10],\n [-4, -4, -5, -4, 4],\n [-4, 6, -9, 3, -2],\n [4, 0, -2, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 1, 7, -6, 1, -9],\n [-7, -10, -2, 0, -10, 3],\n [-10, -1, 0, -3, -4, -7],\n [-10, -8, -7, -10, -3, 3],\n [-4, -7, -5, 6, -8, 2]]\nB =\n[[-6, 8, 0, 10],\n [10, 6, -6, -8],\n [8, 0, 7, -3],\n [-2, -9, 7, 4],\n [-8, 10, -1, -4],\n [-8, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[5, -5, 7, -2, -4, -7],\n [0, 8, -1, -8, 9, -10],\n [-2, -9, 2, 3, 4, 4],\n [1, 2, 6, -9, 10, -6]]\nB =\n[[7, -10, 1, -2],\n [9, -2, 4, 2],\n [1, -10, 4, 5],\n [5, 3, 9, -10],\n [6, 10, -10, -9],\n [9, -10, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -10, -4, 0, 0],\n [2, 0, 6, -1, -8],\n [-7, 2, 5, 7, -9],\n [-8, -5, 3, 0, -3],\n [4, -7, 6, 10, 7]]\nB =\n[[-8, 7, -10, -3],\n [10, 1, 10, 7],\n [-10, -7, 4, 1],\n [3, -8, 3, -10],\n [-7, 3, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-619", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -7, -4, 2, 3],\n [-5, 0, -6, 3, 10],\n [-1, -3, 5, -9, -2],\n [-4, -6, 8, 2, -6]]\nB =\n[[5, 5, 10, 4],\n [-8, 4, 3, -4],\n [3, -2, -10, 4],\n [-10, 0, 8, 8],\n [10, 5, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[7, 6, -1, 6],\n [8, -8, 10, 7],\n [7, 7, 6, -10],\n [-5, -4, -3, -8],\n [5, 4, 5, 6],\n [7, -1, -2, 3]]\nB =\n[[9, 6, 5, 2],\n [-10, 3, -8, -2],\n [-5, 7, 7, -3],\n [8, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, 2, -2, -8, -6, 7],\n [-1, 8, -2, -10, -1, -2],\n [7, -4, 7, 9, -5, 1],\n [-7, 6, 2, -9, -3, 9],\n [-7, -4, -1, -3, -1, -4]]\nB =\n[[-1, 8, -8, 5, 8],\n [9, -8, -1, 0, 5],\n [8, 0, 6, 6, -8],\n [6, 0, 5, 1, 10],\n [8, -6, 6, -7, 6],\n [-3, 1, -5, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -3, 2, 10],\n [9, -8, 10, 1],\n [-9, 2, -7, 2],\n [-6, -5, -1, -7],\n [5, 8, -2, 8]]\nB =\n[[0, -7, 10, -3],\n [-2, -5, 8, 7],\n [-5, 8, 3, 5],\n [-6, -9, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 3, 4, 7, -9],\n [2, 4, 3, 10, 3],\n [-1, -1, -2, -7, -3],\n [-10, 2, -7, 7, 7]]\nB =\n[[-5, -10, -3, -8],\n [-6, -3, -2, -8],\n [-6, 8, 4, 3],\n [2, -4, -5, -1],\n [-10, -8, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "648", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -4, -2, -3, -4],\n [-8, 10, 2, -1, 5],\n [-8, -4, -2, 2, 10],\n [7, -8, 4, -2, -3]]\nB =\n[[-3, 6, 10, -8, -2],\n [10, 6, 3, -1, 4],\n [6, -7, 9, 8, -8],\n [0, -7, 3, -10, -3],\n [-2, 9, -3, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1051", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -8, 7, -9, 6],\n [-7, 1, 9, 9, 6],\n [4, 1, -1, -4, 1],\n [2, -9, 2, -9, -9],\n [0, 8, 2, 6, 0]]\nB =\n[[-10, 0, -4, -8, -7, -6],\n [5, -4, 2, 8, -9, 0],\n [3, -10, -1, 1, 4, -3],\n [-1, -9, 4, -4, -5, -3],\n [9, 9, -5, 3, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-5, -8, -5, 4, 2],\n [3, 5, -2, 9, -6],\n [-3, 5, 5, 7, -10],\n [1, 5, 2, 5, -6],\n [3, 9, -6, -1, 6]]\nB =\n[[-1, -8, 7, 1],\n [-4, -7, -3, 10],\n [9, 6, 0, -3],\n [3, -7, 9, 10],\n [-8, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, -8, 2],\n [-10, 1, -4, 0],\n [3, -6, 4, 10],\n [-3, 1, 1, 2],\n [3, -7, -1, 9],\n [0, -9, 2, 8]]\nB =\n[[9, 8, -1, -5, -2, -4],\n [-7, -2, 1, -2, 5, -8],\n [-3, 9, 8, -3, -5, 9],\n [3, -8, -9, 1, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1920", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[5, 0, -10, 0, -10],\n [-9, -7, 2, -3, -9],\n [9, 2, 1, 4, -6],\n [0, 3, -2, -7, 0],\n [3, -7, -10, -5, -5],\n [-3, 4, -9, -10, 9]]\nB =\n[[6, 6, -8, -4, -4, 3],\n [-5, -3, 9, -6, 5, -9],\n [-9, -8, -1, -3, -8, -1],\n [4, 7, 10, 9, 1, 10],\n [-6, 6, 2, -9, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 1, -3, -1, -2, 2],\n [-1, 0, 3, 3, 4, -1],\n [-10, -7, -7, -5, 4, -5],\n [3, -10, -2, 5, 8, 3],\n [8, 10, 9, -2, -5, 7],\n [-10, 9, -8, -4, 0, -5]]\nB =\n[[-6, 7, -9, -7],\n [7, -9, -2, 1],\n [-8, -4, 2, 9],\n [10, -4, -2, 8],\n [6, 1, -4, -4],\n [10, -9, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 10, -1, 3, -9, -6],\n [-4, -1, -6, 1, 7, 8],\n [-9, -2, 3, 0, -1, -7],\n [-7, -2, 0, -6, 7, -5],\n [-10, -5, -10, -4, 1, -4],\n [7, -2, 1, 2, -6, -9]]\nB =\n[[5, 7, -5, -9, -10, -7],\n [5, -1, -6, 8, -9, 4],\n [-2, -5, -7, 10, -4, -10],\n [-6, -8, 5, -6, 10, 0],\n [2, 6, 5, -8, -7, -7],\n [-9, 7, 2, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2563", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 2, -1, -9],\n [7, 4, -9, -8],\n [4, -7, -8, 6],\n [-2, -6, 2, -10],\n [-4, 10, -10, 8]]\nB =\n[[10, 10, 0, -3, 2],\n [-5, 3, 8, -10, 9],\n [-5, -8, -3, -9, 9],\n [8, -6, -7, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1778", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -3, -4, -10, -8, 8],\n [-8, 6, -8, 5, -7, 4],\n [-7, -1, -2, 10, -2, 8],\n [-10, 3, -6, 4, 10, -5],\n [-7, 5, -2, 0, -10, 9]]\nB =\n[[-5, 8, -1, 3],\n [8, -5, -2, -10],\n [1, -3, 5, -3],\n [-8, 0, -4, -5],\n [5, 9, 2, -5],\n [3, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-563", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 10, -2, -7, 3],\n [-2, -9, 9, 7, -9],\n [1, -6, -3, -1, 3],\n [-2, -6, 4, -2, -4],\n [-3, 2, -6, -5, -8],\n [-6, -9, -3, 10, -10]]\nB =\n[[4, 10, 6, 1],\n [4, 5, -8, -1],\n [8, -1, 4, 1],\n [-7, -10, -5, -5],\n [-3, -5, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, -9, 6],\n [2, 2, -8, -7],\n [6, 0, -9, 5],\n [10, 5, -4, -10],\n [4, 3, 6, 7]]\nB =\n[[10, 5, -3, 4, -7],\n [2, -7, 1, 9, 4],\n [-7, 9, 8, -6, 0],\n [2, -5, 5, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-3, 7, -4, 2, 6, -4],\n [-2, -7, 9, -10, -6, -10],\n [-9, 4, -3, -9, 9, -1],\n [10, 1, -4, 10, -8, -9],\n [7, -3, 9, -1, -6, 7],\n [-10, -10, 3, -1, 6, -1]]\nB =\n[[8, 6, -9, -3, 4, 10],\n [4, -6, 8, -3, 5, -10],\n [1, 2, 9, -8, 1, 5],\n [-3, -3, -8, 8, 2, 2],\n [9, 8, 1, 7, 9, 0],\n [4, 5, 2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -4, -4, -3, 1, 5],\n [-3, -7, -3, 5, -7, 1],\n [6, 1, 10, 9, 7, 1],\n [1, 6, -2, 9, -4, -1]]\nB =\n[[0, 7, 10, 9, 6],\n [10, -1, 2, 0, -9],\n [0, -3, -6, -3, 1],\n [3, 9, -10, -1, 1],\n [2, -7, 9, -4, -7],\n [-6, 10, -7, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1074", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 2, 1, 8],\n [7, 5, -3, -6, 2],\n [4, -4, 6, -8, -8],\n [7, -6, -7, -2, 2],\n [5, -6, -8, -9, -3]]\nB =\n[[2, -5, -4, -6, 5, 7],\n [-9, 3, 4, -4, -7, 10],\n [9, -4, -8, -10, -10, 4],\n [-6, -6, 4, -1, 5, -3],\n [-7, 1, -2, -3, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -7, -3, -10, -1],\n [5, 3, 5, 0, 1, -6],\n [3, 9, -4, -1, -4, 10],\n [-9, 5, 0, 9, 4, -3]]\nB =\n[[-6, -3, -8, 5],\n [7, -4, -1, -8],\n [-4, -3, 2, 4],\n [5, 2, 0, 2],\n [-10, 1, 10, -10],\n [-6, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 7, 4, -6, -10, -1],\n [-1, 8, 9, -6, 7, -3],\n [-9, 6, 10, -9, 2, -9],\n [-4, -8, -5, 4, -10, -8],\n [0, -4, -4, 0, 5, 9]]\nB =\n[[3, 8, -10, -9, -1, -9],\n [3, 10, -9, 9, 1, -1],\n [-3, 6, 3, -4, 8, -9],\n [-8, -10, 8, 8, 6, -6],\n [7, 0, -9, 7, 1, 9],\n [-9, -2, -5, -10, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "603", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -6, 10, 7, 8, 2],\n [7, 8, 7, -6, 4, -9],\n [2, 10, -5, 2, 1, -6],\n [5, -2, 3, -6, -2, 8],\n [5, 7, 8, 0, -6, -6],\n [8, -4, -1, 5, 5, -3]]\nB =\n[[-5, 10, 4, -9],\n [3, -7, 6, -9],\n [-7, 0, 6, -2],\n [2, 1, -3, -4],\n [9, -3, -5, -5],\n [4, 3, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, -6, 4, 9],\n [-5, 4, -1, -7, -10],\n [-8, -1, 3, 0, -5],\n [-7, -6, -4, -2, -7],\n [5, -1, 7, -4, 7],\n [-1, -9, 9, -7, 10]]\nB =\n[[4, -5, 0, 5],\n [10, -7, -6, 4],\n [9, 10, -2, -9],\n [4, 8, 1, 6],\n [-8, 9, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -2, -8, 3],\n [4, 6, -5, -7],\n [-5, 3, -7, -3],\n [-5, 9, 5, -10]]\nB =\n[[3, 3, 3, 7],\n [7, -6, -8, 0],\n [4, 10, 0, 1],\n [-1, -1, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-8, -7, -8, -7],\n [8, -9, 6, 4],\n [-9, -2, 9, -9],\n [5, -7, -3, -3],\n [3, -7, 6, 4]]\nB =\n[[8, 0, -5, 6, -9],\n [9, 5, 6, -5, -6],\n [0, 9, 0, -6, -2],\n [-10, 10, 9, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 9, -4, -1, 0, -10],\n [10, -1, 7, 5, -7, 1],\n [8, 3, -5, 10, -7, -7],\n [-5, -1, 7, 1, -4, -2]]\nB =\n[[-6, 9, 6, 3, 1],\n [5, 9, -6, 2, 4],\n [6, 7, -8, 8, -1],\n [-8, -6, -6, 2, 7],\n [9, -1, 7, 7, -5],\n [-4, -4, -7, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -3, 5, 6, 4, 5],\n [-7, 3, -7, 7, 0, 5],\n [-9, -4, -9, 0, 10, 10],\n [-3, -2, 0, -5, -9, -2]]\nB =\n[[2, 3, -5, -6, -9],\n [-2, 2, 4, 8, 0],\n [4, -5, -7, 4, 4],\n [1, 10, 10, -9, 0],\n [9, 3, 10, -9, -9],\n [-6, 1, -10, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1245", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-8, 2, 3, 9, 4],\n [6, 0, 0, 6, 4],\n [0, -2, -3, 5, 7],\n [-6, 4, -8, 10, 9]]\nB =\n[[-4, 4, 4, 7],\n [-3, -5, 3, -6],\n [1, -4, -7, 3],\n [1, -2, -9, -4],\n [8, 1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 10, -4, -5],\n [2, -2, 6, 0],\n [10, 2, 6, -8],\n [10, -10, 7, 5],\n [0, 6, -8, 3],\n [-2, -2, 6, 0]]\nB =\n[[10, 5, 7, -8, -1],\n [-4, -5, 0, -3, 4],\n [-10, 7, -10, -3, 5],\n [-7, 2, -1, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -9, -2, 1, 3, -5],\n [6, 5, 6, 5, -4, 4],\n [0, 3, -1, 7, -8, -4],\n [-6, -6, 5, -2, 9, 2],\n [6, 6, 4, -8, -8, -9],\n [-10, 3, 5, 3, 0, -4]]\nB =\n[[9, -9, -2, -3, 5, 5],\n [-4, 5, -10, 1, 8, -8],\n [-4, 5, -7, 3, 5, 7],\n [10, 1, 5, 1, -4, -1],\n [1, 3, -3, -2, -4, -5],\n [1, -9, -6, 1, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-2, 7, -1, 7, 8],\n [-8, 4, -3, -10, 10],\n [-3, -6, 5, 3, 9],\n [0, -6, 2, -10, 4],\n [5, -8, -8, 9, -10]]\nB =\n[[7, 1, 6, -10],\n [-1, 9, 0, 3],\n [10, -1, -3, -3],\n [-4, 10, -2, -6],\n [9, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, -2, 6, -4],\n [-4, 1, -10, 9, -8],\n [-2, 3, -10, 1, -1],\n [-7, 1, 2, 9, 2],\n [-1, 6, 6, -7, -7]]\nB =\n[[-3, 3, -5, 8, -3, -9],\n [4, -3, 2, 8, -2, 1],\n [1, 2, -4, -8, 8, -3],\n [-1, -8, 4, 3, -3, 1],\n [-2, 4, -4, 5, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1597", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -2, 4, -2, -4, 10],\n [1, 8, 8, -2, 8, -1],\n [2, -2, 0, 3, 1, -6],\n [8, -8, -4, -5, -6, 0]]\nB =\n[[9, -3, -1, 6, -2, -8],\n [-7, 7, 0, -7, 0, -9],\n [-7, -3, -3, -7, 0, 5],\n [-2, 2, -10, 0, -3, -8],\n [3, 6, -6, -9, 2, 6],\n [-4, -9, 4, 3, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 9, -7, 9, 5],\n [8, -5, -7, 8, 4],\n [1, 5, 3, -8, 4],\n [-1, -5, -7, -1, 0]]\nB =\n[[-7, 4, 8, 4, 2, 7],\n [9, -7, 6, 3, -8, 2],\n [-5, 4, 6, -9, -8, 7],\n [4, -7, -2, -9, -1, -4],\n [1, 5, -7, -8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -3, -9, -5, 5, -4],\n [10, -7, -8, 9, -4, -2],\n [3, 7, 6, -1, -9, -5],\n [-5, -2, -4, 10, 3, -3],\n [-6, -3, -10, 3, 2, -6],\n [8, 6, -4, 6, -8, 8]]\nB =\n[[5, 7, 3, -7, 10],\n [-8, 5, 10, 0, 6],\n [9, -1, -2, 6, -5],\n [10, -3, -2, 0, 1],\n [3, 5, -5, 2, 1],\n [8, -3, -8, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1701", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 6, -1, 8],\n [-10, 0, -5, 8],\n [-10, 5, 5, 4],\n [-1, -7, 4, 8],\n [7, 2, 5, -9],\n [-9, -8, -5, 3]]\nB =\n[[0, 2, -9, 1, -4, 3],\n [8, 2, 9, -7, -8, 7],\n [-8, 4, 8, -10, 1, 3],\n [-1, 8, 5, 9, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -1, -9, -3, -8, 7],\n [5, -3, -6, 7, -7, -5],\n [-1, 2, -7, -8, 9, -2],\n [-2, -2, -4, -4, 1, -1],\n [10, -4, -7, 3, -7, -9]]\nB =\n[[5, -4, 8, 4, -10, -6],\n [8, -5, 0, -1, 10, 2],\n [3, 8, 3, 3, 5, -5],\n [-7, -8, -3, 6, -1, -7],\n [-3, 3, -8, -1, 1, 1],\n [3, 1, 0, 2, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-584", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -3, 3, -7, -3, -2],\n [6, -6, -1, 7, 3, 8],\n [7, 5, -8, -2, -6, 2],\n [-3, 6, 4, -3, 2, 8]]\nB =\n[[-9, 1, 6, 3, 8],\n [-5, 10, -8, 4, 6],\n [8, 6, 8, 2, 4],\n [-1, 9, -4, 8, -10],\n [-10, -9, 8, 9, 6],\n [7, 8, -8, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 3, -6, 9, 5, 5],\n [4, -2, -5, 4, -8, 2],\n [10, 2, -10, 8, 1, 0],\n [6, 2, -2, -6, 9, 0],\n [-8, 4, 1, -2, 4, 9],\n [7, 2, 10, 8, -9, -5]]\nB =\n[[8, 3, -1, -2],\n [6, 3, -9, 3],\n [10, -9, 3, 2],\n [8, -8, 2, 3],\n [-2, 6, 0, -5],\n [2, 0, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-10, -10, 2, 1],\n [5, -6, 8, -3],\n [9, -9, 9, -7],\n [3, -6, -9, -10]]\nB =\n[[0, -3, 4, 5, 6, -9],\n [-6, 0, -9, 4, -8, 8],\n [-9, -8, 9, -1, 1, 6],\n [-2, -9, -6, -8, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 3, 5, -2],\n [8, 3, -4, 9],\n [5, -3, -3, -7],\n [-8, -4, -3, 7]]\nB =\n[[6, 3, -1, 4, 8, 7],\n [0, -10, -10, -2, -8, 5],\n [9, -3, -1, 6, -7, -9],\n [-5, -8, 2, 8, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1185", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -1, 5, 0],\n [-6, 3, -1, 6],\n [2, 7, -8, -8],\n [6, 5, 4, 2]]\nB =\n[[6, 2, -9, -2],\n [1, 8, -6, 9],\n [3, 1, 3, 3],\n [-5, -7, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 0, 3, -6, -5, -8],\n [-6, -9, 3, 7, 1, 2],\n [-10, 3, -5, -8, 5, -10],\n [-10, 2, 6, 7, 10, 1],\n [-4, 10, 3, -5, 4, 0],\n [3, 10, -4, 3, -2, -10]]\nB =\n[[5, 4, 10, 7, -2],\n [-8, -8, 3, -4, -5],\n [7, -10, 6, -4, -7],\n [5, 4, -2, -3, -3],\n [6, -1, -2, -4, -1],\n [6, -5, 2, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1028", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, -3, 1, 4, 3],\n [5, -6, -4, -5, -6, -4],\n [-10, 1, 4, 3, 8, 0],\n [6, -9, 7, 4, -3, 3]]\nB =\n[[7, 3, 8, -9, 4, 2],\n [-5, 0, 6, 4, -7, 8],\n [3, -8, -7, 8, 7, -5],\n [2, -6, 9, -9, -7, 6],\n [2, -6, 8, 0, 4, -8],\n [-8, 7, 0, -5, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1405", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -10, -9, -1],\n [-10, -4, 3, -8, 1],\n [1, -4, -9, -1, 5],\n [-4, 1, -6, 3, -4],\n [9, -5, -7, -6, 0],\n [-4, -7, 10, -9, 5]]\nB =\n[[8, 7, 0, -5, -6],\n [3, 1, 8, -8, 3],\n [0, 1, 0, -7, 4],\n [2, -6, -5, -2, -3],\n [-9, -7, -3, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 0, 8, -5, 2, 9],\n [3, 7, 9, 5, -9, 1],\n [-7, -3, 8, 6, -7, 3],\n [1, 7, -6, 3, 7, -8],\n [-6, 3, 8, -1, -10, -10],\n [-6, 4, 4, 10, 4, -6]]\nB =\n[[-2, 4, -5, 2, 0, 5],\n [0, 9, 3, 2, -7, 1],\n [-10, -7, 9, 1, -5, -6],\n [-4, -7, -1, -8, -1, -1],\n [7, -10, 3, 4, 4, -7],\n [10, 4, -1, 4, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1019", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -1, -7, 8],\n [5, -4, 0, -2],\n [-3, 9, -1, 0],\n [6, -9, 6, 4],\n [8, 9, -10, 0],\n [-3, -5, 9, 9]]\nB =\n[[-8, 5, 9, 3, -10, -7],\n [0, -9, -4, -10, -3, -6],\n [-10, 4, 1, -10, 4, 3],\n [4, 4, 7, -6, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -5, 8, 9, 7, -1],\n [6, 3, -6, -4, 5, -8],\n [-6, 6, -2, 2, -7, 8],\n [4, -9, -5, -1, 6, -9],\n [-1, -8, 6, -5, 10, 3]]\nB =\n[[0, 9, 6, -2, -6],\n [5, -5, -3, 8, -10],\n [8, 1, -8, 5, 3],\n [-10, -10, -8, -9, 5],\n [4, 2, -8, -5, 2],\n [-2, 1, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -1, -4, 2],\n [7, -3, 5, 8],\n [5, 3, -3, -9],\n [0, -4, 5, -7]]\nB =\n[[5, 3, 5, -5, 7, -2],\n [7, -1, -8, 9, 7, -1],\n [-3, -4, -7, -7, 4, 0],\n [-6, 3, -3, 4, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "775", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 6, 2, 1],\n [4, -2, 5, -9],\n [6, 9, -4, 9],\n [8, -6, -5, -1],\n [-7, -9, 10, -10]]\nB =\n[[-2, -3, 8, 5, 7, -4],\n [-8, -4, 0, -8, -5, -3],\n [-7, -3, 2, -2, -9, 0],\n [-2, -3, -9, -10, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[4, 5, -3, -4, 10, 8],\n [1, -5, 6, -4, -10, -3],\n [-9, -3, 4, 9, 2, -5],\n [1, -3, -4, 9, 7, 7]]\nB =\n[[0, 7, -10, 8],\n [7, -10, -1, 3],\n [-8, -3, -4, 1],\n [8, 6, -4, 4],\n [6, -7, 9, -7],\n [-1, 10, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 2, 9, -8],\n [5, 5, 3, -9],\n [-9, 7, -5, 10],\n [-5, 5, 1, -5]]\nB =\n[[-10, 0, -8, 6, 7],\n [-9, -3, -4, 9, -10],\n [-7, 8, -3, 6, 5],\n [2, -1, 4, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[6, 2, 2, 8],\n [8, 3, 10, -8],\n [7, -8, 4, 0],\n [-2, -3, -1, 3]]\nB =\n[[1, 1, -4, -7, 0],\n [6, -4, 0, 6, -3],\n [-3, -10, -1, -9, -7],\n [-9, 9, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[7, -6, 2, 1, 1],\n [6, -10, 4, 0, 6],\n [0, -3, -4, -6, -3],\n [8, -3, -9, 2, 9]]\nB =\n[[-5, -8, -9, 8, -5, -2],\n [-10, 9, 1, -1, 10, -7],\n [-1, 9, 8, -1, 7, 7],\n [9, 3, -3, -2, -3, 1],\n [8, 2, 3, -9, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -9, 2, -3, 3],\n [0, -6, -10, 5, -8],\n [-6, 1, 1, -10, -9],\n [3, 2, -1, 6, 2],\n [-8, -7, -10, 0, 6]]\nB =\n[[8, 9, -3, -1],\n [-2, 0, -8, 5],\n [1, 2, -4, 4],\n [8, 10, -3, 6],\n [3, -3, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -1, -7, -2, 1],\n [9, -5, -3, 3, -4],\n [0, 1, -8, -7, 10],\n [-9, -5, 5, 9, 4]]\nB =\n[[-8, 4, 4, -2, -9],\n [-1, 3, -1, -1, -6],\n [6, 7, 5, 1, -9],\n [6, 5, -4, -8, 7],\n [7, 4, -10, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -1, 2, 5, -8, 8],\n [-1, -6, -10, -7, -8, -10],\n [2, 5, 1, 1, -10, -1],\n [-4, 5, -6, 9, -7, 6],\n [-7, -6, 4, 2, -10, 9]]\nB =\n[[2, -3, -4, 0, 10, 5],\n [3, 1, -7, 2, 6, 6],\n [3, 6, 5, -1, 9, -2],\n [1, -6, 7, 5, -4, 3],\n [9, -9, -7, 0, -1, -6],\n [-5, 7, -10, 9, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 5, 0, 2],\n [-2, -8, 9, -6],\n [-1, 9, 6, -10],\n [-7, 0, -7, -9]]\nB =\n[[7, -5, -7, 4],\n [1, 8, 3, 3],\n [-6, -7, -2, 0],\n [9, 6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "921", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -7, 2, 0, 0, 10],\n [0, -5, 6, -6, -7, -9],\n [-5, 3, -10, 9, 1, 9],\n [-2, -5, 2, 9, 10, -4]]\nB =\n[[-7, 3, -8, -7, 4],\n [2, 1, -8, -7, -3],\n [7, -3, 4, -1, 3],\n [-3, -2, 4, 7, -9],\n [-2, 2, 1, -9, -5],\n [9, 5, -9, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-8, 5, 3, 4, 5],\n [1, 6, -9, 0, -10],\n [1, 9, 10, -3, 0],\n [0, 1, -3, 3, -8],\n [5, -10, 7, -9, -8],\n [10, 0, -3, -10, -6]]\nB =\n[[4, -5, 4, 3, -10, 1],\n [-5, 2, -5, -4, 6, 2],\n [-9, -5, 7, -7, 10, 9],\n [3, -5, 8, 4, 4, -2],\n [3, -8, -10, -10, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[0, -6, 10, -7, 1, 10],\n [4, 9, -6, 0, -7, 0],\n [-1, 4, -6, -7, 0, 1],\n [-1, 1, -8, 8, 8, 0],\n [-6, 1, 9, -8, 8, 0]]\nB =\n[[0, 1, 4, -10],\n [9, 2, 3, -4],\n [1, 4, -3, 1],\n [-3, 6, 0, -5],\n [1, 5, 5, -3],\n [4, 5, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 3, 3, 7],\n [1, -5, -1, 1],\n [-8, 5, -3, 8],\n [-6, -2, 6, 1],\n [-6, 4, -1, -5]]\nB =\n[[-1, 1, 4, 8],\n [-3, -2, 4, 1],\n [-2, -6, 10, 4],\n [-8, -1, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, -1, 6, 10],\n [-10, 0, 4, 7, 8],\n [-3, 5, -2, 9, 1],\n [5, -4, -5, 8, 1]]\nB =\n[[-5, 6, -10, -10, -8],\n [7, 1, 6, 7, 6],\n [-6, -5, 2, 7, 8],\n [5, -4, 0, -1, 7],\n [-7, 10, -5, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 5, 3, 10, -6, -9],\n [-5, 4, -10, -4, -7, 4],\n [8, -5, 5, 4, -4, -7],\n [4, -3, -1, 4, 4, -2],\n [8, 10, 1, 6, -10, 8]]\nB =\n[[-7, -5, -8, 3, -10],\n [-4, -7, -8, 10, 6],\n [-8, -4, -6, -5, -6],\n [1, -2, -8, -2, 7],\n [-2, 8, -5, 5, 3],\n [-2, -3, 6, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1869", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, 6, 2, -9, 8],\n [-2, -6, -2, 6, -3, -8],\n [-7, -5, -1, -7, 4, 9],\n [-2, 4, 8, 3, 10, -3],\n [2, -7, -8, 5, -5, -3],\n [-9, 0, 8, 1, 9, -2]]\nB =\n[[-5, 0, -7, 5],\n [-1, 7, 6, 4],\n [-4, 2, 7, 3],\n [1, -1, -7, 9],\n [-8, 8, 5, 4],\n [3, -7, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 7, 4, -4, 1],\n [0, 10, -6, 9, -5, -4],\n [4, -7, 3, 2, -3, -2],\n [-8, 1, 0, 1, 4, 5],\n [-6, -7, -4, -7, 1, 5]]\nB =\n[[-3, -8, -2, -3, -4],\n [-9, 6, -3, 6, -10],\n [0, -1, 3, -8, -9],\n [0, 1, -7, -1, -7],\n [2, 9, -4, 5, -5],\n [6, 4, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -1, -5, -8],\n [-4, -9, -4, 7],\n [-9, -7, 6, -4],\n [8, 0, 4, 10],\n [-1, -8, -5, 6]]\nB =\n[[2, -5, 10, -5, 4, -5],\n [9, -7, -4, 10, 7, -5],\n [-2, 0, 2, 5, 8, 7],\n [6, 6, -3, -4, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -2, -10, -10],\n [-9, -6, -6, -2],\n [-7, -3, 6, 7],\n [-9, 5, -1, -9],\n [-8, 0, -9, -5],\n [4, 10, -4, 5]]\nB =\n[[-1, -8, -9, 10, -6],\n [-6, -5, -9, 0, -8],\n [0, -10, 2, -3, 6],\n [-8, -6, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "652", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -2, 4, -2],\n [8, -2, 8, 5, -3],\n [-6, -10, -4, 7, 10],\n [0, -9, 7, 1, -8]]\nB =\n[[-5, -10, -4, 7],\n [-8, -1, 2, -5],\n [2, -9, 8, 6],\n [6, 8, -10, 6],\n [9, -10, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 3, 0, -2],\n [0, 1, -3, 0, -6],\n [5, 4, -10, -2, -4],\n [9, -10, 5, 6, -10],\n [-5, 4, -2, 9, 4],\n [-4, 8, -7, -8, 1]]\nB =\n[[-7, -1, 6, -8, 9],\n [3, -4, -6, 9, 3],\n [0, -1, -4, 9, -7],\n [8, -1, 1, -10, -1],\n [10, 3, -8, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[7, 10, 6, -8],\n [-1, 6, -7, 4],\n [-4, 2, 10, 5],\n [7, -5, 0, 4],\n [8, 8, 1, 1]]\nB =\n[[-10, -5, 5, -9, 2],\n [-5, -7, 5, 5, 7],\n [10, -5, 5, 2, 10],\n [3, -1, 0, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -3, -3, 5],\n [-6, -10, 2, 3],\n [0, 8, -3, -4],\n [0, -10, 8, -7],\n [-7, 5, -9, -5],\n [-3, 7, -2, -5]]\nB =\n[[-6, 2, 1, -10, -2, -3],\n [7, 10, 5, -4, 7, -7],\n [2, 7, 2, 9, 7, 1],\n [0, -3, 9, -9, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -4, -8, -7, -3, -9],\n [-3, -7, 9, -2, -2, -9],\n [-7, 10, 8, -5, -1, 4],\n [-8, -10, -7, 8, -10, 7],\n [3, -3, -10, -4, 4, 10]]\nB =\n[[-4, -4, 10, -6],\n [-10, -6, -3, -1],\n [-7, -2, -4, 6],\n [-1, 5, 1, 0],\n [-9, 6, -7, 6],\n [5, 5, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -9, -8, 10],\n [-6, -3, -1, -9],\n [9, -6, 6, -3],\n [-5, -3, -7, 5],\n [-8, -4, -10, -8],\n [3, -6, -1, -2]]\nB =\n[[-2, -8, 3, 6, -5, 0],\n [6, 3, 1, -7, 8, -1],\n [-9, -2, 0, -9, -1, 6],\n [-6, -6, 3, -6, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1989", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-8, -9, 9, 10],\n [4, 4, -5, 5],\n [10, -1, 3, -8],\n [-10, 7, -9, -9],\n [8, 10, 10, 4],\n [9, 9, 4, 8]]\nB =\n[[-10, 0, 1, -10, -8],\n [8, -4, 6, -5, 6],\n [4, -5, 1, 1, 2],\n [-3, -10, 3, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, -8, 2],\n [-2, 4, 7, -3],\n [-2, -9, -6, 1],\n [7, -3, 6, -9]]\nB =\n[[-3, -10, 2, -9, 6, 4],\n [8, 10, -2, -9, 10, 2],\n [3, -10, 6, -3, -1, 9],\n [5, -3, -8, 8, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -3, -4, -3, 6],\n [-1, 1, 2, -8, -1, -6],\n [10, -9, 6, 9, -6, 8],\n [6, 6, 2, -8, -4, -10],\n [-1, -3, 8, 10, -6, 5],\n [-9, 4, 1, -2, -3, -8]]\nB =\n[[1, 9, 7, -9],\n [-7, 3, 8, 7],\n [-10, 7, 6, 2],\n [3, -3, 9, 3],\n [7, -10, 10, 9],\n [-8, 2, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 0, -9, -6],\n [-4, -5, 1, -5],\n [-2, -5, 4, -9],\n [-10, 6, 9, -4],\n [7, 3, -8, 9],\n [7, -9, 6, 1]]\nB =\n[[-8, 8, 6, 4, -4],\n [0, -1, -7, -1, -1],\n [-4, -7, 4, 10, 5],\n [2, 7, 1, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 2, 9, 7, -8],\n [5, -6, -10, -1, -1],\n [-1, 7, 8, 8, 1],\n [10, 4, 8, 4, -9],\n [-3, 8, 1, -6, -7]]\nB =\n[[-1, 8, 7, -6],\n [-9, 9, 4, 7],\n [-6, -8, -7, 9],\n [-5, 0, 10, 6],\n [-7, -2, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[7, 1, 0, -9, -8],\n [5, 10, -3, 4, 0],\n [-5, 6, -8, 2, 4],\n [-1, 4, 1, 5, 5],\n [0, 5, 6, -10, -1],\n [7, 5, 10, -8, -8]]\nB =\n[[10, 7, -8, -9, 1, 6],\n [-1, -3, 10, -1, -10, -8],\n [9, -9, 4, 8, 9, 3],\n [-6, -4, 9, -1, -2, -9],\n [9, 5, 1, 2, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -1, 4, -5],\n [1, 5, 4, 3],\n [0, -6, -8, -5],\n [10, -3, -1, -10],\n [8, 2, 9, 0],\n [4, -9, 5, -8]]\nB =\n[[-3, 7, 10, -5, -8, -3],\n [8, 4, -3, 5, -1, 5],\n [3, 8, -2, -7, 5, -6],\n [-6, 7, -7, 0, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, 2, -4, -1, -1],\n [7, -7, -7, 6, -7, 10],\n [-10, -10, 7, 4, -5, 8],\n [-9, -4, 10, -4, -5, 8],\n [8, -8, -4, 3, 10, -2],\n [-4, 6, -8, -3, 4, 2]]\nB =\n[[-9, 7, -5, 1, 7, -9],\n [-7, -7, 9, -10, -3, 7],\n [-5, 8, 3, 4, -10, -6],\n [10, -8, 5, -3, -7, 6],\n [-7, 10, -3, 8, 9, 8],\n [-7, -8, 5, 10, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2956", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, -9, 1, -4],\n [0, -2, 7, -2, 0],\n [-8, 1, -4, 3, -6],\n [-9, 5, 0, 7, 0]]\nB =\n[[-1, -1, -1, 4, 6, 0],\n [4, -7, 2, 2, -5, -8],\n [7, 0, 7, -8, -7, -8],\n [1, 1, 4, 7, -7, -10],\n [10, -6, 0, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -4, 7, -7, -8, 1],\n [6, 6, -6, -2, 2, -5],\n [2, 5, -9, -2, -3, 8],\n [-9, -5, -7, 2, 10, -2]]\nB =\n[[5, 9, 5, 1, -6, -2],\n [-10, -7, 5, 4, 4, 2],\n [-10, -7, -10, 0, 4, -1],\n [9, 2, 3, -8, -6, -7],\n [0, 2, 3, -6, 10, -9],\n [10, 4, 6, 2, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1679", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[4, 10, -10, 7, 10, 0],\n [0, 0, -5, -6, -10, 0],\n [9, 8, 5, 4, -2, 1],\n [-7, 8, 8, -1, 5, 9],\n [1, -1, 5, -3, -4, -3],\n [4, -8, -8, 2, 8, -7]]\nB =\n[[-8, 0, 2, 5, 6, 0],\n [10, 0, -8, -8, -1, -5],\n [-8, 2, -4, 6, -8, 3],\n [-1, 10, 2, -10, 1, 5],\n [3, -7, 6, -7, 2, 1],\n [8, 5, 0, -6, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 5, 5, -8, 9, 0],\n [-4, 7, -7, -6, -1, 5],\n [4, -10, -2, -3, 7, -5],\n [8, -4, -8, 6, 6, 6],\n [0, 7, -4, -2, 10, 1],\n [-4, 5, -1, 5, 8, 3]]\nB =\n[[10, -3, 3, 3, -2],\n [1, 2, -5, -1, -5],\n [5, -6, 2, -1, 8],\n [1, 10, 4, 1, -3],\n [9, 6, -7, -3, 6],\n [5, -7, -7, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1798", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 3, -1, -7],\n [-2, -2, 3, -9],\n [-8, 2, -1, 1],\n [-3, 3, 8, -1],\n [-2, 7, 5, 1],\n [3, -5, 9, -3]]\nB =\n[[6, -5, -3, 3, 2],\n [-1, 3, 7, 0, -5],\n [-9, 6, -10, 0, 1],\n [7, 4, 4, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-616", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 2, 9, 5, 4],\n [-7, 9, -7, 4, -10],\n [8, -7, 3, -2, 9],\n [10, -6, 10, -2, -5],\n [-1, -9, 9, -8, 9]]\nB =\n[[-4, -4, -10, -7, 10],\n [-6, 5, 5, 6, -5],\n [6, 10, 2, -8, 5],\n [0, -2, 3, -2, -1],\n [-3, 0, 9, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1779", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -7, -9, -8, 6],\n [-3, -7, -9, 5, 3],\n [-3, -3, -5, -10, 7],\n [5, 9, 6, -9, 6],\n [-3, 5, 10, -7, 7],\n [-1, 10, 7, 3, 0]]\nB =\n[[9, 7, 9, -7],\n [-4, -3, -8, 7],\n [-4, 6, -9, -6],\n [-5, -8, -1, 6],\n [3, 1, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1695", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, -5, -10],\n [-4, -8, 0, -10],\n [-7, 9, 1, 3],\n [-3, -8, -9, -2],\n [8, 7, 7, 6]]\nB =\n[[-7, 1, 4, -10, 8, 8],\n [5, -5, 5, -9, -9, -3],\n [-3, -7, -8, -9, 1, 5],\n [-5, -9, 2, 1, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "619", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 0, 0, -1],\n [-3, 9, 6, -4],\n [2, -2, -1, -5],\n [4, -9, -1, -4]]\nB =\n[[4, 0, -6, -9],\n [-3, -9, -9, -1],\n [-7, -7, 9, 0],\n [1, -5, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -5, 10, -3, 6],\n [0, 8, -7, 3, -6],\n [8, -5, 1, 5, 0],\n [-4, -7, 9, 7, 10],\n [-7, 9, -8, 8, 4],\n [-1, -1, 9, 8, -7]]\nB =\n[[3, 0, 5, 10, 4],\n [-8, 2, -1, 10, -8],\n [1, 8, 3, -5, -7],\n [0, 6, -2, -3, -7],\n [2, 2, 10, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2100", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -4, 5, -10, 3],\n [-9, 9, 9, -1, 9],\n [-9, -2, 9, 5, 6],\n [0, -2, 3, 0, -3]]\nB =\n[[1, -2, -1, -2],\n [1, 9, 6, -6],\n [2, -4, -2, -4],\n [9, -7, -1, -7],\n [0, 8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[6, -4, -6, -2, -7],\n [4, 3, -9, 8, 5],\n [5, 10, 10, 5, 10],\n [-1, 10, -8, -4, -8],\n [7, -8, 8, 4, -5]]\nB =\n[[-7, -6, -2, 1, 4],\n [9, 10, -8, 4, 7],\n [-9, -3, 9, 10, -8],\n [4, -7, 8, 3, 7],\n [3, -1, 10, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 1, 7, 2, 3, -4],\n [-3, 1, 1, -1, 7, 8],\n [-8, 9, 7, 1, 6, 7],\n [0, 9, -4, -10, -1, 2],\n [-3, -10, 8, -3, 10, -5]]\nB =\n[[7, -10, -9, 1, -4, -3],\n [-6, 0, -2, 2, -2, -9],\n [-4, 8, 7, 10, -6, -3],\n [-4, 1, -6, 7, 0, -2],\n [-6, -9, 9, 2, -4, -7],\n [-2, 9, -1, 10, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -7, -2, 7, 5],\n [0, -6, -7, -10, -8],\n [9, -3, 5, -5, 4],\n [10, -1, -5, 2, 4]]\nB =\n[[-5, -7, -10, 4, 6, 0],\n [-2, -6, -8, 2, 8, -2],\n [6, 2, 2, 2, -5, 1],\n [10, 7, 2, -4, 8, 9],\n [10, -9, 1, 7, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -1, -2, 5, 6, -6],\n [0, 2, -5, 9, -10, -8],\n [9, -8, -2, -7, -9, 3],\n [-9, 1, 7, -2, 0, 1],\n [7, 10, -3, 10, 6, -6],\n [3, -4, 0, -7, -9, 3]]\nB =\n[[1, 7, -10, -4, -1],\n [-1, 5, 0, 8, 1],\n [2, -4, 9, 2, -8],\n [0, 4, 0, -7, 3],\n [-8, 3, 0, -7, 2],\n [-5, 5, -4, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 6, -6, -2, -9, -7],\n [0, -9, -4, 9, 4, -9],\n [3, -10, 4, 6, 3, 4],\n [8, 5, -6, 3, -2, 9],\n [9, -8, -7, -2, 2, 7],\n [3, 7, 2, -1, 3, 6]]\nB =\n[[4, 6, 7, -5],\n [7, -4, 9, -6],\n [-2, -7, -8, 1],\n [5, 7, -4, -1],\n [1, -5, 2, -4],\n [0, 7, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -9, 2, 5, 0],\n [-10, 6, 8, -6, 0],\n [-5, -2, 6, -8, -9],\n [-4, 3, -3, -1, -7],\n [5, 2, 8, 10, 7]]\nB =\n[[-10, 9, 3, 10, -10, -6],\n [-7, 10, 7, 1, -6, -5],\n [-10, -5, -10, 8, 9, -7],\n [9, 3, 9, -3, -1, -1],\n [-8, -7, -9, 2, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 1, 8, -3, 1],\n [4, 4, -5, 2, -1, 0],\n [1, -8, -7, 10, -3, -3],\n [-7, 10, -1, 9, 10, -3],\n [5, 4, -2, -4, -2, -5]]\nB =\n[[10, -1, -1, -4],\n [-10, -3, 1, 5],\n [-10, 0, -7, -10],\n [5, -5, -4, 10],\n [-10, -3, 7, 10],\n [-4, 4, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 1, 5, 1, 0],\n [-8, 6, -2, -6, -6],\n [0, 5, -3, 4, -6],\n [0, 2, -2, 4, -10]]\nB =\n[[-1, -8, -5, -7],\n [1, -2, -7, 0],\n [-4, -2, 10, -9],\n [-2, 8, -9, 9],\n [0, -8, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[2, -5, 8, 8, 3],\n [8, 5, 5, 2, 8],\n [-7, -8, 5, 9, 9],\n [9, 10, -9, -3, 9],\n [6, -3, -2, -6, -8],\n [3, -1, -7, 4, 8]]\nB =\n[[10, -7, 7, 7],\n [-3, 1, 8, 6],\n [-7, -5, 7, 10],\n [-4, 1, 8, -4],\n [-4, 8, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[6, 4, -10, 8, 5, 4],\n [1, -5, 1, -3, 7, -6],\n [-8, 0, 6, 4, 1, 6],\n [10, -2, -5, 7, 7, -6],\n [-8, -9, 6, 8, 2, -9]]\nB =\n[[9, 6, -6, 7, -4],\n [8, 2, -9, -8, 0],\n [8, 10, 1, -1, -5],\n [5, -7, 10, -1, -8],\n [4, 4, -3, 6, 10],\n [7, 5, 2, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -10, -6, 10, 4, -8],\n [-10, -1, -3, -6, 4, 3],\n [-1, -10, -9, 8, -6, -2],\n [7, -3, -5, -3, -1, -7]]\nB =\n[[4, 1, 3, 10],\n [3, -5, 6, 0],\n [-1, -2, 4, -3],\n [-1, -2, 10, -10],\n [-9, -5, 6, -10],\n [4, 7, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "963", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-2, 5, -10, -2],\n [-9, -2, 2, 9],\n [8, -8, 2, -7],\n [-5, 2, 6, -9]]\nB =\n[[2, 5, 8, 7, -3],\n [-5, -9, 9, 1, -10],\n [8, 2, 6, -2, 10],\n [-7, -1, -10, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 5, 0, 5],\n [4, -6, -4, 4, -10],\n [7, 9, 5, -4, -9],\n [-5, 2, 1, -3, -6],\n [-9, 6, 8, -2, -4]]\nB =\n[[4, 1, 5, 5],\n [4, -8, 8, 9],\n [5, -6, 5, 1],\n [6, 5, -5, 0],\n [4, -10, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -10, 2, -1],\n [-2, -5, 9, 8],\n [1, 1, 3, -10],\n [5, -6, -1, -2]]\nB =\n[[-7, 6, 5, -1, 3, -1],\n [7, -4, 3, 8, 6, 10],\n [-6, -2, 5, 2, 4, 4],\n [3, -10, 4, -2, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1345", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 7, 5, 0, 6],\n [8, 2, 5, 2, 6],\n [7, 9, 1, 3, 5],\n [4, 9, 10, -10, -8],\n [-8, -8, -6, 6, -6]]\nB =\n[[1, 3, -1, -5],\n [-6, -1, -5, 8],\n [8, -8, 2, 5],\n [1, 2, 1, 5],\n [1, -6, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "704", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -4, 3, -10],\n [10, -2, 1, 0],\n [9, 10, -3, 8],\n [-3, 9, -6, -6],\n [7, 1, -9, -5],\n [8, -5, -9, -1]]\nB =\n[[-3, 7, 10, 4, -1],\n [-7, -4, 5, 7, 2],\n [0, 2, -2, 4, -5],\n [-7, 9, -10, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1818", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[10, 4, 7, 9],\n [4, 0, -5, -7],\n [-4, -10, 4, -9],\n [-3, 0, -3, -1],\n [8, 7, -9, 1],\n [-8, -7, -7, 7]]\nB =\n[[-2, 7, 5, 9],\n [-3, 1, -8, -5],\n [-2, -6, -6, -3],\n [-4, 5, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, 10, 1, 1],\n [0, 8, -7, -2, -6],\n [3, 9, -5, 9, -10],\n [8, -5, -1, -10, 10],\n [4, -7, -3, 9, 7],\n [-10, 0, -2, -3, -9]]\nB =\n[[7, -5, 3, -2, -7],\n [-4, -5, -7, 5, -2],\n [-4, -6, -1, -1, -10],\n [4, -7, 4, -9, -6],\n [10, -8, 7, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 4, 7, -4, -8, -10],\n [0, 3, -6, -5, 3, -3],\n [-9, -10, 3, 8, -3, 2],\n [4, 8, -5, 3, 10, 5]]\nB =\n[[-10, 5, 2, -1, -5],\n [3, -2, -3, -6, 3],\n [10, 8, 1, -4, -3],\n [-10, -7, -1, 2, 9],\n [0, 0, -9, -8, 10],\n [5, -4, -3, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 6, -6, 7],\n [5, -4, -3, -2],\n [0, 2, 1, 7],\n [1, 10, 2, 7],\n [2, -8, -6, -5]]\nB =\n[[7, 9, -6, 6, 10],\n [7, 9, -9, -7, 3],\n [2, 2, -1, -2, -1],\n [6, -9, 10, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[4, -6, -4, 5, -1, 0],\n [-9, 5, 1, 4, 1, 2],\n [-3, -3, -9, -1, -2, -2],\n [6, 3, 9, 9, 1, 0],\n [-5, -10, -9, -2, -8, -5]]\nB =\n[[5, -10, 7, 4],\n [-5, -6, -8, 0],\n [-7, -4, 7, 6],\n [5, -9, 10, 3],\n [6, 3, 6, -4],\n [-6, 5, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 0, 0, -3, 7, 5],\n [-4, 10, -8, -2, -3, -2],\n [-8, -2, 7, 8, 0, -9],\n [10, -10, 1, -3, -9, 7],\n [8, 9, -4, -3, -2, -6],\n [-7, 8, -3, -10, 6, 2]]\nB =\n[[-5, -1, -4, -3],\n [10, -3, -4, 7],\n [9, -9, -6, -6],\n [-9, 7, 1, -8],\n [3, 4, 10, -8],\n [3, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -9, 2, 4, 2, -7],\n [7, 6, -8, 2, 9, -8],\n [5, 3, -4, 2, 6, -10],\n [-9, 2, -1, 9, 5, 6],\n [10, 3, 7, 6, 8, 8],\n [-8, 2, -5, 10, -2, -6]]\nB =\n[[2, -9, -10, 0],\n [6, 5, -3, 7],\n [2, 2, -2, 3],\n [1, -1, 8, -4],\n [9, 9, 2, 8],\n [5, 8, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1782", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[8, -7, -9, 1],\n [10, 7, 2, 0],\n [2, 1, -4, 7],\n [10, 4, 4, 6]]\nB =\n[[6, -6, -1, 5, 5, -1],\n [-5, -10, 8, 5, -1, 2],\n [2, -9, 9, 9, 6, -10],\n [5, 9, 10, -7, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 4, -8, 3],\n [-9, 6, -7, -4],\n [4, -8, 5, 4],\n [8, -1, -10, 2],\n [-3, -3, 2, 5],\n [3, -2, -7, 3]]\nB =\n[[-6, -4, -7, -2, 8, -10],\n [-2, 8, -4, 9, 9, -2],\n [8, 5, -4, 5, 7, 4],\n [-5, -1, 6, 4, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, -3, -9, -5, -7],\n [-1, 6, -10, -6, -4, -1],\n [4, -2, 8, 8, 3, -2],\n [7, -1, -4, 2, 8, -3],\n [0, 5, 3, 8, -1, 6],\n [4, 3, -7, -8, -5, 1]]\nB =\n[[0, -5, 10, 3, 3, 6],\n [5, -8, 3, 4, 5, -6],\n [9, 5, -5, -9, -9, -9],\n [-5, -10, 5, -7, -3, -3],\n [6, -3, -7, -3, -2, -2],\n [-10, -4, -1, -1, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[7, 8, -7, 4, 3, -7],\n [5, -7, 5, -3, -2, 8],\n [-9, -6, 9, -5, -4, -9],\n [-8, -4, 3, 9, 4, 8],\n [-3, -5, 0, 0, 8, -8]]\nB =\n[[-4, 2, 1, 5, 7, 7],\n [7, -7, -9, -9, -1, -2],\n [3, -9, 1, 4, -9, -8],\n [-3, 1, 9, -10, 5, -9],\n [10, 7, 2, -2, -6, -6],\n [10, 3, 5, 10, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -3, -3, 1],\n [5, -8, -8, 1],\n [-9, 5, 1, 8],\n [3, 7, -1, 6]]\nB =\n[[2, -6, -1, -7, -7],\n [6, -4, -4, -5, 9],\n [-10, 9, -1, -2, -1],\n [-3, 0, 7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 9, 7, 5],\n [-5, -3, 7, -3, 0],\n [-2, 6, 4, -9, -1],\n [5, -2, -5, 1, 2]]\nB =\n[[7, 5, -3, 6],\n [2, 0, -9, -6],\n [-3, -2, 5, -3],\n [-1, -2, -4, 5],\n [-2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 0, 6, -2],\n [5, -2, -7, 3],\n [8, -10, -3, 7],\n [0, 8, 7, 7]]\nB =\n[[6, 2, 6, 7, -8, 1],\n [-3, 10, -2, -5, -9, -10],\n [-10, -2, 2, -1, -7, 4],\n [-10, 10, -8, -6, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -3, 0, 2, 5],\n [2, -7, -10, 7, 6],\n [-3, -4, 10, 2, 2],\n [-5, 9, -10, 5, -1],\n [-2, -6, 9, -6, -8],\n [5, 3, 7, -10, -1]]\nB =\n[[9, -9, 2, -4, -10],\n [8, 1, 3, 1, 3],\n [-1, 3, -7, 8, 2],\n [9, 7, 8, -5, 3],\n [-7, -1, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, 8, -8],\n [3, 8, -9, 7],\n [6, 7, -2, 4],\n [1, -10, 1, -2],\n [3, 6, -7, -8]]\nB =\n[[-8, -3, 1, 2, -3],\n [-8, -4, -7, -4, 1],\n [-10, 0, 8, -1, -5],\n [5, -10, 3, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -5, -8, -7, 4, 7],\n [9, -9, -10, -7, -6, 7],\n [5, 3, 6, 1, 1, -5],\n [-6, 8, 0, 4, 5, 3],\n [-9, -4, 2, 5, 5, -6]]\nB =\n[[5, -9, -9, -8],\n [1, -2, -10, 1],\n [-2, -10, -1, 10],\n [7, 9, 1, -2],\n [-1, -8, 4, 3],\n [-4, -2, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[5, 10, -5, 5, 4, 2],\n [4, 6, 7, 5, -10, 10],\n [-9, -2, 4, 6, 7, 6],\n [-9, -7, -8, 4, -4, -2]]\nB =\n[[2, -1, 9, -4],\n [-5, -3, -7, 10],\n [-7, -9, 6, -7],\n [-5, 4, -2, 9],\n [2, 5, -9, -1],\n [9, 3, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[4, 3, -7, 1, 10],\n [10, 5, -10, 3, 6],\n [-7, 6, 3, -10, 3],\n [9, 10, 1, 7, -2]]\nB =\n[[0, -4, 1, 6],\n [-5, 10, -1, -5],\n [3, -4, -9, 8],\n [3, -7, -4, -2],\n [3, -5, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -10, -8, -3],\n [4, 5, -5, 8],\n [-5, -1, 8, -5],\n [-4, 4, 9, -1],\n [-1, 5, 6, 10],\n [-7, -9, 5, -1]]\nB =\n[[-5, 3, 6, -5, -4],\n [3, 10, 4, -8, 10],\n [-8, 5, -8, -3, -1],\n [4, -10, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -6, -7, -3, 7],\n [4, 6, -7, -6, 1],\n [-10, -2, 0, -7, 5],\n [-5, 5, -3, 0, 7]]\nB =\n[[-8, -5, -6, -9, -3, -9],\n [4, -5, 6, 4, 8, 8],\n [-3, 10, -1, 10, 3, -2],\n [9, 1, 7, 3, -8, 2],\n [-2, -1, 2, -7, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[7, 2, -6, -9, 6, 4],\n [-2, -5, -1, -5, -5, 8],\n [5, 7, 3, -9, -10, -9],\n [8, 8, -4, -10, 1, -5],\n [9, -4, -10, -6, 7, -1],\n [2, 10, 1, 0, -10, -2]]\nB =\n[[-2, 9, -1, -2],\n [-8, 5, 3, 3],\n [-4, 5, 7, 0],\n [-9, 9, 2, 2],\n [9, -10, 7, -5],\n [6, -8, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 10, -8, -1, -7],\n [8, 0, 2, 8, 6],\n [4, 4, 9, 9, 9],\n [6, 9, -4, -3, 4]]\nB =\n[[4, 7, 5, -10, -1, 9],\n [1, -6, 0, 2, 6, -4],\n [-2, 0, -8, -8, -10, 7],\n [-6, 0, -2, 1, 8, 6],\n [-10, 0, 0, -3, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "515", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[4, -4, -5, 8, -9, -9],\n [-8, 8, -4, 6, -8, -2],\n [0, 3, -7, 7, 5, 5],\n [-3, 10, 7, 0, -5, 0],\n [7, -7, -4, 2, 5, 3]]\nB =\n[[-1, 4, -9, 2, -10],\n [-1, -6, 1, -6, -2],\n [5, -5, -1, -1, -8],\n [-8, -8, -7, 4, 2],\n [3, -3, 9, 8, 0],\n [-2, -6, 6, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -5, 7, 5],\n [1, -6, -5, 7],\n [-5, -10, -1, -1],\n [-2, -10, -4, -4]]\nB =\n[[1, -7, -7, 1, -9],\n [8, 2, -4, 10, 8],\n [-3, 2, 8, 9, -7],\n [9, -2, 6, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -9, 3, -8],\n [4, 2, 7, -3],\n [-1, -3, -4, -5],\n [9, 6, 6, -1]]\nB =\n[[8, 6, -6, 3],\n [-7, -4, -10, 8],\n [6, 7, 5, 4],\n [-3, 6, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "887", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, -5, 6],\n [3, -8, 10, -8],\n [-8, 7, -1, 2],\n [4, -1, 2, 7],\n [-2, 6, -7, -9]]\nB =\n[[9, -2, 4, -4],\n [-7, -1, 2, -3],\n [-8, 9, -10, -7],\n [4, -9, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1098", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, -4, -9],\n [6, -3, -6, 6],\n [-4, -6, -2, 1],\n [1, 2, 8, 1],\n [2, -5, -10, -4]]\nB =\n[[2, -4, 3, 0],\n [-1, -10, -3, 10],\n [8, 7, 1, 8],\n [-10, 5, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[8, -2, 4, 9, 0],\n [-2, 0, -3, 3, 3],\n [-2, 4, 5, 10, -3],\n [4, -8, 10, 9, -8],\n [-4, -5, 6, 0, -9]]\nB =\n[[3, 3, 8, -7, 9, -8],\n [-5, 6, -9, 9, -8, -6],\n [-5, 3, -2, -2, -1, -5],\n [5, 2, -5, -6, -10, -4],\n [0, -1, 4, 5, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -6, -10, 9, -6, 2],\n [-3, -6, 2, 4, -4, 6],\n [7, 3, 2, -7, -6, -2],\n [2, -3, 6, -10, -2, -7],\n [2, 5, -2, 10, 9, -4],\n [-9, 1, 9, 7, -1, 10]]\nB =\n[[1, 5, 10, -7, 7],\n [-9, -7, 4, -9, 2],\n [-6, -4, 5, 9, 9],\n [-5, 0, 10, 4, 10],\n [6, 6, -5, 0, -6],\n [4, -7, 9, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1933", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[-9, -2, 1, -9],\n [4, 2, -7, -5],\n [7, -3, 6, 8],\n [-5, 10, 1, 9],\n [-3, 10, -3, -5],\n [-3, 0, -6, 7]]\nB =\n[[-10, -10, -5, 4, -10],\n [0, 4, 3, 4, 2],\n [7, 10, 0, 7, -2],\n [-8, 9, 5, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[10, 4, -5, -7],\n [8, 9, 6, 5],\n [10, 7, 8, 7],\n [2, -9, 0, -2],\n [-2, -8, -3, 6]]\nB =\n[[-8, -9, -6, -10],\n [6, 1, 1, 1],\n [7, -6, -1, 7],\n [-3, 5, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 10, -6, -7, 6, 6],\n [4, 10, 8, 3, 0, -7],\n [-10, 2, 7, 9, -3, 7],\n [-4, 1, -5, -3, 7, 2]]\nB =\n[[0, -7, -8, -2, 1, -3],\n [-4, 0, -10, 6, 10, 0],\n [-10, 3, -3, 6, -3, -4],\n [-6, 10, 1, -8, 0, 7],\n [6, -8, -2, -1, 1, -4],\n [-5, 6, -5, -6, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -4, 7, 0],\n [-9, 9, -6, -8],\n [-3, -7, 7, -5],\n [-5, -6, 5, 0],\n [6, -9, -8, -5],\n [-2, 10, -4, -8]]\nB =\n[[9, 8, -4, -10],\n [0, 2, 3, 10],\n [-5, 1, 1, -4],\n [-9, 1, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -4, 2, 10, 8],\n [0, 3, -5, 5, 4],\n [7, -9, -4, -3, 2],\n [4, -4, -1, -7, -3],\n [-2, 10, 0, -7, -10]]\nB =\n[[1, -4, 0, 9, 2, 10],\n [-10, 7, 5, 1, -4, -5],\n [2, 7, 5, 4, -7, 5],\n [3, -7, 4, -4, 8, 0],\n [10, 10, 3, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1742", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 6, 6, 7],\n [-10, -4, 2, -5],\n [1, -9, 8, 2],\n [-2, 2, -3, -8],\n [-10, 3, -9, 1],\n [2, 0, -6, -3]]\nB =\n[[3, 7, -3, 10],\n [1, -2, 4, -8],\n [-4, 0, 9, -2],\n [-5, -5, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, -2, 1, -9, -1],\n [3, -10, -7, -1, -10, -6],\n [5, -1, -10, 6, -6, 8],\n [0, 7, 8, 5, 0, -6],\n [-2, 4, 1, -8, 5, 7],\n [-8, -1, -1, 6, 3, 1]]\nB =\n[[9, 8, -1, -3, -6, 5],\n [4, 9, 5, 8, 6, 10],\n [-9, 7, 5, -8, 6, -5],\n [-1, 3, 10, 3, 6, -7],\n [3, 10, 6, 8, -2, 1],\n [3, 5, 2, -6, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2659", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -10, -10, 0],\n [-10, 8, 9, 6],\n [-9, 9, 5, -8],\n [-3, -10, 10, -1],\n [5, 5, -7, 3]]\nB =\n[[-3, 5, 1, 5, -7],\n [3, 7, -6, 9, -1],\n [-5, -7, -6, 5, 6],\n [-3, -2, -6, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1634", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -5, -6, -5],\n [-7, 9, 3, 1],\n [2, 6, -5, 1],\n [-4, 10, 2, 10],\n [-7, 6, -3, 0],\n [-2, 1, 1, -5]]\nB =\n[[-2, 6, -7, -4, 3],\n [-10, 3, -6, 2, -4],\n [10, 2, 6, 7, -9],\n [5, 0, -9, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, -6, 8, -7, -7],\n [-8, -4, -2, -8, 7],\n [0, -9, 2, -9, 5],\n [10, 10, 5, 2, -7],\n [-6, -6, 9, 4, 4],\n [-7, 8, 2, 4, -6]]\nB =\n[[-10, -4, 4, 3, -8],\n [-9, 4, 1, -1, -1],\n [2, -5, -5, 1, -5],\n [-4, -9, 8, 1, -3],\n [6, 0, -3, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -5, 3, -5, 5],\n [7, 0, -7, 9, -2],\n [-5, 3, -2, 4, -7],\n [-6, -3, 10, 7, 8],\n [-2, -10, -7, 7, -10]]\nB =\n[[2, 6, -3, -1],\n [6, -2, -10, 9],\n [-9, 10, -1, 0],\n [0, 0, 7, 2],\n [1, 1, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 6, 3, -7, -4, 5],\n [-10, 0, -1, -7, -8, 8],\n [-4, 10, -4, -2, 9, -10],\n [-10, -1, -6, 0, 3, -4]]\nB =\n[[-1, 2, 5, -9, -8],\n [6, -2, -7, -2, 8],\n [-8, 1, 4, 7, -10],\n [10, -9, -3, 7, -5],\n [-8, 8, 10, 7, 2],\n [8, -5, 7, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 2, 8, 3],\n [8, -7, 2, -4],\n [0, 4, -9, -3],\n [8, 6, 5, -10],\n [-9, 9, 4, -1],\n [4, 2, -7, -6]]\nB =\n[[10, 6, -7, -7, 5],\n [-7, -9, -1, -2, 4],\n [3, 3, -2, 4, 3],\n [-4, -10, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[2, -3, -7, 7, -10, 10],\n [1, -9, 4, 8, 5, 5],\n [-3, 2, 6, -7, 9, -5],\n [-8, -5, -2, -10, -6, -2],\n [-9, -10, 1, 8, -7, 9]]\nB =\n[[-8, -10, 8, 3, 3],\n [-7, 1, -6, -4, -2],\n [-7, 2, 1, -3, -10],\n [-10, 9, 9, 6, -4],\n [-8, -3, -6, -4, 6],\n [-8, -4, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, 5, 10],\n [7, 9, -2, -2],\n [1, -5, 5, -1],\n [1, 7, 6, -8]]\nB =\n[[-3, -4, -4, -6, -2],\n [4, 3, -10, -1, 10],\n [9, 10, 10, 5, 0],\n [10, 5, -7, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-2, 3, -4, -3],\n [-5, -8, 4, -4],\n [-5, -9, -6, -7],\n [-8, 1, 3, 7]]\nB =\n[[-7, 5, 2, -10, -7],\n [-10, 4, -10, -7, 9],\n [-3, 7, 0, 0, -1],\n [-4, 6, 3, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -9, 7, 1, -7, -10],\n [-6, 0, -4, 6, 10, 0],\n [-2, 9, 8, -5, -5, 8],\n [-1, -2, 4, -1, -1, 7]]\nB =\n[[3, -4, 7, 3],\n [7, -1, -3, 6],\n [-10, -8, -5, -7],\n [-1, -3, -1, 10],\n [6, -5, -7, 2],\n [4, 9, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1090", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -8, -3, 7, -4],\n [5, 2, 2, -3, -5],\n [0, 2, 10, 8, 6],\n [4, 5, -4, -6, -7],\n [2, 9, 7, 0, -2],\n [5, -3, -1, -1, 0]]\nB =\n[[6, 9, -10, 8, 2],\n [8, 7, -5, 1, -9],\n [6, -5, -4, 10, 8],\n [8, 9, 5, -8, 6],\n [1, -3, -6, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "627", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -6, 3, 2, 1],\n [-1, -8, 3, 5, 2],\n [-7, 6, 4, 5, -5],\n [0, -7, 0, 5, -2],\n [1, -2, -10, 6, 6]]\nB =\n[[2, -5, 8, 4],\n [7, -5, 3, 3],\n [-7, -2, -2, -3],\n [-9, 0, -9, 8],\n [-4, -7, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "906", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 3, -2, 1],\n [-4, -10, -6, 7],\n [4, -6, 9, -9],\n [-7, -7, -2, 6],\n [9, 8, -7, -5],\n [4, -3, 6, 4]]\nB =\n[[-1, 5, 1, -9, 3],\n [-3, 7, 9, 5, 10],\n [-9, 10, -4, 0, -1],\n [0, -7, 5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[10, 6, 7, -4, -6],\n [-10, 8, -8, 6, 2],\n [3, 4, 8, 6, 2],\n [0, -10, 1, 1, -9],\n [-5, 9, -8, -6, 3]]\nB =\n[[-9, -8, -9, -2, 4],\n [9, -2, 3, 0, -3],\n [-2, -7, -1, -5, -10],\n [-3, 2, 6, 2, -3],\n [8, -6, 9, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-6, -6, -3, 0, 5, 3],\n [4, 9, 3, 0, -1, 4],\n [10, 4, 10, -9, -7, -9],\n [8, -2, -3, -10, -6, -3],\n [7, -2, 0, 9, 2, -9]]\nB =\n[[-10, 5, 6, 4, -1, -6],\n [7, 4, 9, 0, -4, -9],\n [-5, 10, -4, -5, 10, 0],\n [-4, -10, -5, 4, -8, -8],\n [-9, 8, 10, 0, -6, 8],\n [7, 7, -6, 1, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 6, 0, -3, 10, -6],\n [-1, -1, -7, 10, -4, 2],\n [-7, 0, -4, 8, -3, 8],\n [4, 5, -4, -4, 3, -2],\n [-6, -3, 6, -1, -3, 8],\n [-4, 4, -4, 1, 4, 4]]\nB =\n[[-7, 1, -4, 6, -3],\n [6, -6, -3, -10, -3],\n [-7, 5, -8, -1, 2],\n [-1, -2, 7, 8, -5],\n [-8, -5, 10, 2, 6],\n [-2, 5, 2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1456", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, 2, 6, -10, -1],\n [-9, -1, -5, -1, -4, -9],\n [-7, -8, -2, 5, -5, 4],\n [-4, -1, 5, -4, 3, 0],\n [-3, 2, -6, 8, 3, 5]]\nB =\n[[-10, -5, -6, -4],\n [-10, -10, 9, -8],\n [8, -8, -1, -3],\n [10, -10, -7, 2],\n [-7, 7, -9, -5],\n [-3, 9, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 3, 2, -6, -7, 2],\n [4, 3, 6, -8, 0, 8],\n [1, -10, 10, 6, 1, -6],\n [-8, -10, 4, 5, -3, 9],\n [-5, -1, -6, -9, -5, 1]]\nB =\n[[-6, 8, 7, 1, 4, 0],\n [6, 0, -2, 10, 2, 10],\n [1, -7, -3, -1, 8, -2],\n [-2, -3, -1, -9, 3, 1],\n [5, 7, 1, -2, 5, 6],\n [0, 2, 2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -3, 7, -3, 9, 9],\n [4, 7, 2, -1, -9, 8],\n [3, 4, 1, -8, -8, 0],\n [-8, -8, 8, -2, 2, -5]]\nB =\n[[1, 2, -9, -6, 5],\n [7, 2, 0, -2, -10],\n [-6, -7, -10, 6, 6],\n [-9, -5, -8, -7, 1],\n [0, -5, 3, 10, -8],\n [9, -2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 10, -5, -2, 6, 7],\n [5, 7, 2, -8, -5, -7],\n [-6, -7, 7, 8, 0, 3],\n [-2, 3, 10, -4, 1, -6],\n [6, -5, 6, 10, 4, -4],\n [4, -4, 3, -8, 4, 3]]\nB =\n[[5, 5, 6, -8, -7, -1],\n [-4, 0, -2, -10, 4, 2],\n [-7, -5, -3, 8, 1, 5],\n [0, -1, -5, -10, 6, -8],\n [3, -1, 4, 7, 8, 1],\n [5, -7, 8, 7, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -7, 0, 4],\n [-8, 7, -6, -10, 5],\n [-10, -8, 5, -3, -5],\n [9, 1, 8, 6, 0],\n [-9, 10, 0, -9, -1]]\nB =\n[[-8, -3, 4, -6],\n [6, -6, -4, -10],\n [0, -3, 4, 6],\n [-7, 8, 5, -10],\n [-5, 9, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 0, -8, 4, -8],\n [4, -1, 0, -2, -5],\n [-8, -10, 2, -8, 4],\n [9, 6, 6, -10, 1],\n [-2, 3, 8, -10, -4]]\nB =\n[[-4, 10, -6, -4, -6, -4],\n [-8, 9, 3, 5, -9, -6],\n [10, 10, 3, -2, -2, 2],\n [-10, -5, 2, 1, 6, 1],\n [6, 10, -4, -7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -5, 9, 6, -4],\n [0, 1, -9, -5, 9],\n [-1, 4, 6, -5, -8],\n [0, 5, -1, 0, -7],\n [1, 10, 9, 1, -9]]\nB =\n[[6, -2, -4, 9, 6, -3],\n [4, -1, -3, -2, -4, -2],\n [1, -10, -7, 7, -4, -5],\n [-8, -8, -10, -8, 7, -8],\n [1, 2, -2, -3, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1546", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 10, -4, -3],\n [-1, 4, -10, 6],\n [7, 5, 5, 7],\n [-7, 6, 5, 4],\n [0, 4, 3, 1]]\nB =\n[[10, -4, 0, 8, 10, 4],\n [4, -6, 6, 6, -8, 5],\n [0, -9, -5, -7, -8, 1],\n [-10, -6, -3, -6, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -3, 3, -5],\n [-3, 6, -7, -6],\n [1, 9, 4, 10],\n [-1, -6, 10, -10]]\nB =\n[[6, -10, 3, -4, -10],\n [10, -7, -10, -9, -6],\n [2, 7, -3, 5, -1],\n [-2, 0, 9, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, 7, -10, 10, 1],\n [1, 2, 6, -4, -10, -8],\n [9, 9, -1, -1, -10, -5],\n [6, -9, -1, 2, 9, 3],\n [9, 8, -6, -5, -10, -8]]\nB =\n[[-4, -6, 5, 7],\n [2, 3, -5, -9],\n [-9, -7, -2, -8],\n [10, 9, 4, 1],\n [-4, -6, 10, -9],\n [1, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 9, 2, 7, 1],\n [-5, -9, 0, 2, -8],\n [3, -8, 3, -9, -8],\n [7, 6, 1, -10, 5],\n [3, 1, -3, 5, 0],\n [7, 7, 9, 4, 2]]\nB =\n[[0, -3, 5, -5, 5, 5],\n [6, 4, 3, -7, 4, 4],\n [-4, -8, 2, 2, -8, 5],\n [-1, 1, 1, 2, -4, -10],\n [-4, 6, -6, 10, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[0, 6, -10, 0, -1, 5],\n [5, 1, -1, 0, 8, 5],\n [-10, -9, 1, 7, 7, 4],\n [7, -7, -10, -8, 8, -2]]\nB =\n[[9, -4, 10, -1, -8],\n [-8, -8, 3, -3, 3],\n [8, 10, -4, -4, 0],\n [-1, -6, 7, -2, 2],\n [9, -2, 5, -9, 2],\n [10, 8, -8, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -8, 5, -4],\n [7, -2, -1, -5],\n [1, -1, 10, 4],\n [2, 1, 7, 5],\n [2, -1, -4, -10],\n [3, -3, 10, -3]]\nB =\n[[-4, 2, -7, -8, 2, 7],\n [4, -10, 9, 6, -2, 8],\n [6, -5, -2, -6, -2, -9],\n [1, 6, -8, 8, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-873", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[8, -1, -8, -5, 4, -8],\n [-4, -2, -5, -5, -9, 1],\n [-4, 5, -7, -1, -8, -9],\n [1, 4, -6, 7, 9, 5]]\nB =\n[[-7, -6, -2, -2, -2, 3],\n [8, 9, -3, 2, 8, 1],\n [-4, 9, -5, 9, -10, -6],\n [10, 2, 0, 5, 1, 8],\n [9, 1, 9, 9, -6, -5],\n [-9, 4, 8, 6, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -9, -9, -1],\n [4, 1, -6, 5],\n [-6, -3, 5, -4],\n [-1, 1, -8, -3],\n [-10, -3, -2, 5]]\nB =\n[[-9, 2, 5, 8],\n [1, 3, -7, -6],\n [1, 2, 0, -4],\n [8, 8, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 7, 0, -8, -2],\n [4, -4, -5, 2, -7],\n [-10, 2, 5, -4, -3],\n [6, 0, -3, 0, -3]]\nB =\n[[-5, 5, -7, 0],\n [8, -4, -6, 3],\n [10, 4, -7, -1],\n [-4, 0, -9, -3],\n [6, -10, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "766", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 7, 2, -5],\n [-5, -6, -9, -10, 7],\n [1, 3, 1, 4, 10],\n [-2, 7, 2, -8, -3],\n [-3, -5, -7, -6, 5]]\nB =\n[[-5, 1, 10, 10, -3],\n [-9, 1, -10, -6, -9],\n [4, 7, -8, 3, 7],\n [3, -4, -2, -2, 0],\n [-7, 2, -5, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -9, 1, 2, 4],\n [8, -1, -1, -6, -10],\n [2, -8, 4, -1, 9],\n [5, 8, 10, -1, 2],\n [0, 10, -9, 9, -9],\n [-1, 5, -2, -2, -5]]\nB =\n[[1, 2, -8, -10, 5, 2],\n [-7, -6, 2, 8, -5, -6],\n [-1, 9, 0, 9, -5, -4],\n [0, 9, 2, 10, 2, -1],\n [-1, 0, -3, 1, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[10, 6, -3, 0, 2],\n [-5, -9, -2, -3, -10],\n [-8, 8, 8, 1, 0],\n [-9, -1, 0, 4, -2],\n [8, -5, 10, -10, -7],\n [7, 5, -10, 2, -4]]\nB =\n[[0, 7, 0, -6],\n [-4, 5, 9, 4],\n [3, -5, 0, 8],\n [-8, -8, -5, 1],\n [3, -7, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 9, -8, 5, 9],\n [-8, 10, 6, 3, 4],\n [-3, 6, -10, 5, -3],\n [-9, -2, 6, 7, 4],\n [8, 2, 7, 5, 1],\n [-7, -7, -6, 1, 1]]\nB =\n[[-2, 8, -2, -6, 10, -4],\n [-5, -4, 3, -1, 4, 1],\n [8, 9, 2, 4, 9, 2],\n [-5, 4, 1, -10, 1, -4],\n [-5, 7, -5, -5, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, -2, 1, -5],\n [-9, 1, -5, 6, -1],\n [10, 3, 0, 9, 6],\n [9, 9, -5, -1, -10],\n [2, -7, -5, 3, -2],\n [7, -5, -8, 6, 7]]\nB =\n[[-6, 10, 4, -5, 2, 8],\n [-7, -7, -7, -4, 8, 2],\n [-8, -6, 6, 6, 3, 6],\n [1, 3, 8, -9, 5, -7],\n [-6, 4, -4, -4, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -8, 9, -1, 5, -4],\n [-7, -2, 9, -3, -1, -9],\n [4, -3, -2, 6, 1, -6],\n [-10, 7, -6, -8, -9, 3],\n [9, 7, 5, 10, -6, 5],\n [-8, -8, 1, -4, 2, -2]]\nB =\n[[10, -3, -9, -9, 5],\n [4, -2, 3, 9, 7],\n [-2, -2, -8, 8, 3],\n [8, 8, -9, 9, 5],\n [-3, 1, -2, 8, -7],\n [0, 6, -6, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2442", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 4, -9, 8],\n [0, -5, -4, 8],\n [0, 9, -1, 8],\n [6, 10, -8, -8]]\nB =\n[[8, -9, -10, 5, 7],\n [-1, -3, 1, -4, -10],\n [-10, 9, 8, -8, 4],\n [-3, 2, 1, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-597", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-8, -3, 6, -5, 0],\n [7, 3, 3, -10, 1],\n [-9, 2, -9, 3, 10],\n [2, -8, 5, -2, 3],\n [-1, 4, 3, 7, -1],\n [5, 3, 4, 9, 7]]\nB =\n[[-10, -1, 1, 5],\n [4, 4, -6, 10],\n [-1, -4, -8, -5],\n [-8, -2, 2, 1],\n [4, 8, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -2, 9, -9],\n [-10, 3, -8, 1],\n [-6, 6, 8, 3],\n [2, 10, 0, -8],\n [2, 0, -3, -7]]\nB =\n[[0, 9, 3, -7, -5, -3],\n [-9, 5, -2, 5, -3, 10],\n [10, 8, 0, 7, 2, 8],\n [-6, 0, 5, 8, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1624", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -3, 1, 2],\n [-3, -10, 8, -2],\n [9, 10, -10, 2],\n [7, -8, -10, 10],\n [0, -8, -2, -3],\n [-9, -8, -5, 5]]\nB =\n[[4, 6, 2, 0, 2],\n [8, -9, -9, -2, -1],\n [-6, 7, 1, 6, 2],\n [-2, 4, -1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 1, 7, -8],\n [-2, -10, 10, -8],\n [-6, -1, -5, 6],\n [-8, 3, -1, 6],\n [-10, 6, 8, -6]]\nB =\n[[-9, -3, -5, -5],\n [7, 2, -8, 10],\n [-5, 10, -10, 5],\n [4, -7, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 3, -4, 6, -3],\n [10, -6, -7, 1, 8],\n [-4, -1, -9, -5, -4],\n [9, 0, 4, -1, 2]]\nB =\n[[-9, 8, -5, -2, -1, -1],\n [-7, -10, 6, -9, 0, 5],\n [5, -1, -10, -9, -7, 10],\n [0, -3, 1, 1, 3, 10],\n [7, 3, -2, 4, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1501", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 1, -9, -2],\n [10, -8, -9, -4],\n [-6, -8, -3, -4],\n [-10, 4, -1, -1]]\nB =\n[[3, 2, -5, 8],\n [2, 5, 0, 3],\n [-6, 5, -7, 0],\n [-1, -10, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 3, -4, 4, 5, 0],\n [1, 8, -3, 5, 0, 4],\n [-5, 10, 1, -3, 2, 5],\n [-5, -5, -9, 6, 6, 0],\n [-2, -10, 5, -4, 4, -1],\n [-6, -7, 0, 1, -6, -3]]\nB =\n[[6, 5, -3, -6],\n [3, 8, -9, 10],\n [4, -1, -5, 8],\n [-3, 8, 0, -10],\n [1, -5, 0, -3],\n [-10, 3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1838", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, -9, 10, -8],\n [6, -9, -10, 8, 2],\n [5, -2, 2, -3, -10],\n [9, -1, 1, 7, -9]]\nB =\n[[10, -5, -7, 4, 2],\n [9, 6, 0, -5, -2],\n [-10, 7, 0, 7, 2],\n [-5, -9, -8, 0, -10],\n [-4, 8, -7, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 9, -3, 7, -5],\n [-3, 2, -9, -4, 0],\n [7, -9, 7, -5, -5],\n [-9, -2, -7, 2, -6],\n [-4, -10, 5, 10, -6],\n [-10, 1, 9, -10, -5]]\nB =\n[[-6, -8, 6, -2, 3, 10],\n [3, -10, 9, 1, -9, 3],\n [0, 1, -5, 2, -3, -2],\n [-5, -4, -7, -9, -8, -1],\n [9, 10, 6, -1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-872", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -1, -2, 0],\n [-10, 6, -8, -10],\n [1, 5, 2, 9],\n [7, 1, -8, -1],\n [-5, -2, -6, 8],\n [9, -5, -5, -3]]\nB =\n[[10, 0, 5, 3, 9, -2],\n [-6, -10, 5, 1, -4, 8],\n [9, -9, 4, -6, 6, 10],\n [-2, 1, 5, 9, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 10, -10, -5, 4, -2],\n [1, 9, -8, 4, -7, -6],\n [-5, -9, -9, 3, -3, -2],\n [7, 2, 8, 4, 6, -4],\n [-7, -4, 0, 5, 2, -7]]\nB =\n[[-4, 8, 9, -3],\n [-8, -9, -5, 7],\n [8, -10, 1, 8],\n [-9, 5, -7, 4],\n [9, -10, -4, -5],\n [1, 2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -7, 10, 0, 0, -8],\n [-8, -4, 10, -10, -7, 8],\n [8, 7, 5, 1, -9, -1],\n [-8, 6, 0, 10, 7, 0],\n [4, -2, 10, -4, -3, -4]]\nB =\n[[7, -8, 1, 8, 2, 2],\n [-2, -7, -10, 10, 3, -7],\n [-7, -8, 0, 8, 4, -5],\n [0, 2, -8, -7, -9, 6],\n [0, -5, -10, 1, -3, -2],\n [1, 9, -10, 7, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -2, -6, -4],\n [2, -7, 2, 10],\n [-5, 0, -10, -10],\n [-7, -3, -4, -7]]\nB =\n[[4, -10, -9, 9],\n [-9, 10, 8, -4],\n [-6, 3, 6, -10],\n [-3, -3, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -8, -3, -9],\n [-2, 9, 1, -3],\n [-4, -2, -6, 1],\n [2, 9, 9, 0]]\nB =\n[[-3, -6, 8, 3, 2],\n [7, 4, -9, -3, -3],\n [-9, -6, 7, -6, 4],\n [-6, 7, -10, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -2, 5, 1],\n [-7, -10, -1, 0],\n [3, 5, -4, -10],\n [8, -10, 2, -7],\n [7, 7, 10, -9]]\nB =\n[[0, -6, 4, -2],\n [-8, 9, -5, 3],\n [10, 7, 7, 7],\n [3, -5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 1, 8, -8],\n [-10, -3, 0, 6],\n [-5, 2, -10, -10],\n [8, 6, -3, 2]]\nB =\n[[-5, 9, 0, -4, -5],\n [-3, -3, -6, -1, 0],\n [-1, -8, 3, 4, 2],\n [-9, -1, 4, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -1, -9, -7, -4, 2],\n [8, -4, -7, 2, 9, 0],\n [-5, 9, 0, -5, 5, -8],\n [1, -6, 9, 4, -6, -1],\n [1, 0, -6, 3, -2, -4]]\nB =\n[[1, -1, 6, 0, 9, -5],\n [0, -1, -2, 7, -6, 10],\n [6, 7, -9, -10, 4, -8],\n [1, -6, -4, 2, -3, 5],\n [-10, -10, -6, -5, 3, 2],\n [0, -8, 6, -7, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 4, -2, -7, 10],\n [-1, -2, -4, 10, -8],\n [4, -1, 7, 6, -9],\n [0, 10, 9, -3, -10]]\nB =\n[[1, -2, -9, 9, 5, 4],\n [-10, -6, 9, 6, 1, -5],\n [-9, -10, 4, 9, 4, 9],\n [0, -1, -5, -4, 10, -9],\n [-4, 7, -9, 3, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[1, -1, 4, 10],\n [-1, -2, 6, -2],\n [5, 10, 5, -2],\n [0, -7, 10, -5],\n [-1, -1, -7, 6],\n [2, -8, -3, -6]]\nB =\n[[7, -7, 6, 7, 4],\n [-5, 9, 0, -7, 10],\n [-2, -7, 5, 4, 10],\n [-8, 7, -7, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 9, 8, -7, -10, -4],\n [-7, 10, 0, 6, -9, -4],\n [-8, -2, 9, 6, 1, 7],\n [-2, -5, -7, 1, -9, 2],\n [-7, 3, -10, -8, 5, -8]]\nB =\n[[6, 6, 3, -2, -3, -8],\n [-8, -3, 3, 8, -10, -7],\n [3, 5, 5, 8, -9, -2],\n [4, -6, 5, 9, 7, -9],\n [-6, -5, 0, 2, 2, 3],\n [-10, 0, -3, -7, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[5, -9, -3, -7, -1, -5],\n [5, 2, -7, 0, 9, 1],\n [-4, -5, -8, 7, -6, -3],\n [-6, 8, -4, -10, -9, -10]]\nB =\n[[2, -7, -8, -7, 3, -1],\n [9, -5, 8, 9, -9, -7],\n [-10, -6, -3, 6, -8, 0],\n [-3, 3, 2, 2, -1, -6],\n [-4, 10, -6, 4, 9, -6],\n [2, -8, 6, -10, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -8, 5, -5, -7, -2],\n [2, 2, -4, 1, 5, 2],\n [7, -1, 9, 6, -7, 1],\n [8, -2, -2, -10, 0, -6]]\nB =\n[[1, 9, 10, 10, 6, -5],\n [-3, 9, 7, 4, 1, -5],\n [-2, 7, 6, 1, 10, 6],\n [4, -6, -3, 5, 4, -7],\n [2, 2, 10, 5, 4, 0],\n [-3, -5, 10, -9, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 6) of the product of the following matrices:\nA =\n[[-7, -1, -7, -3, 10, 5],\n [1, 9, 8, -4, 3, -4],\n [-8, -9, 1, -10, -8, 1],\n [-3, -6, 1, -2, -8, 1],\n [-7, -7, -9, 5, -10, 2]]\nB =\n[[-9, -5, -7, 3, -1, 9],\n [8, -4, -7, -8, -5, 4],\n [9, 3, -6, -10, 7, -5],\n [6, 5, -5, 5, -1, 10],\n [2, -7, 2, -7, -5, -6],\n [7, -1, 4, 2, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, 3, 3],\n [-10, 0, -8, 2],\n [0, -2, -10, -8],\n [-5, 10, 4, -9]]\nB =\n[[-8, -9, -8, -2, 0],\n [-2, -5, -6, 4, -4],\n [3, 0, 9, -5, -3],\n [-5, -6, -5, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -5, -3, -4],\n [5, -2, 10, 8],\n [-10, 9, -1, 2],\n [-1, -1, -2, -5],\n [2, 3, -10, 4],\n [2, -4, 2, 8]]\nB =\n[[-3, -6, -7, -4],\n [1, 6, 0, 5],\n [1, -5, -8, -4],\n [-10, 2, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1471", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -10, 5, -7, -3],\n [-5, 0, 1, 5, 6],\n [0, 9, -1, -1, 10],\n [7, 4, 10, -3, 1]]\nB =\n[[0, -6, -9, 5],\n [3, 10, 2, 5],\n [2, -6, 4, 8],\n [1, 9, -2, -10],\n [9, -9, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 9, -10, 5],\n [7, -9, -2, 6],\n [-8, -6, -9, 0],\n [4, -10, 6, -1],\n [7, 4, -3, -6],\n [-8, -4, 6, -7]]\nB =\n[[-1, 8, 5, -8, 10],\n [8, 9, -3, -2, 4],\n [-4, -5, 9, -5, -6],\n [-1, 5, -4, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 10, -7, 6, -9, -3],\n [5, -8, -3, -7, 3, 5],\n [3, -3, -1, 10, -2, 5],\n [-8, -1, -3, 6, 9, 6],\n [3, 5, 0, 2, -5, 3]]\nB =\n[[-6, 9, 2, -8, 7, -9],\n [-9, 5, -10, -3, 6, 5],\n [8, 10, -4, -10, -4, -5],\n [1, 0, 6, 10, 6, 7],\n [9, -2, -6, -3, -8, 0],\n [-3, -3, 10, 3, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2681", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[1, -6, -6, -9],\n [-5, -3, 5, -6],\n [-5, -2, -3, -1],\n [-6, 6, -5, -5],\n [-7, 7, 7, 7]]\nB =\n[[5, -7, -1, -10, -1],\n [3, 4, 2, -3, 0],\n [5, -4, 0, -5, 8],\n [10, 6, 10, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, -8, 9, -4],\n [-3, 3, -8, -8, 9],\n [8, -7, -7, -2, -1],\n [-4, 8, 0, 3, -9]]\nB =\n[[-8, 8, -1, 3, -3],\n [-8, -2, 1, -7, -10],\n [-2, 4, 8, -7, 3],\n [2, 1, 9, -5, 0],\n [2, 5, -8, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 3, -9, -7, 9, -6],\n [-1, 2, -9, -5, 8, 6],\n [10, 2, -1, -1, 3, -5],\n [7, 2, 0, -8, 7, 9],\n [10, -10, -7, -3, 3, 8]]\nB =\n[[-7, -8, 1, -10],\n [8, 6, 5, -1],\n [6, 9, 6, -2],\n [9, 1, 0, -4],\n [-9, -3, -9, 3],\n [2, -1, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1832", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 2, -2, 5],\n [5, 6, -3, -2],\n [-1, 3, 5, 0],\n [8, -1, -3, 8],\n [1, -2, 6, -4]]\nB =\n[[-5, 9, -4, -6],\n [-4, -10, 8, -10],\n [-2, -3, 5, 7],\n [-5, -10, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1090", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, -2, -1],\n [-1, -6, 10, -3],\n [-8, 3, -1, 3],\n [3, -5, -9, -9],\n [7, 4, -6, -1],\n [-6, -7, 1, -8]]\nB =\n[[1, 1, 5, 9, 4, -1],\n [-1, 9, 5, 6, -7, 1],\n [-6, 10, -8, -1, 4, -1],\n [-10, -10, 7, 1, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[10, 5, 9, -6, 4, 5],\n [-1, -9, 3, 8, -4, -5],\n [1, 8, 7, 6, -1, 8],\n [-4, -2, 5, 0, -10, 10],\n [-1, -2, -10, -8, -3, 9]]\nB =\n[[1, 7, 0, 5, 8, 6],\n [9, -3, 4, -3, -1, -10],\n [6, 1, 8, -9, 1, 2],\n [-6, 5, -1, -4, 3, -7],\n [1, -2, -6, -1, -7, -4],\n [-3, -4, -1, 1, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 0, -7, -2],\n [-9, 7, -4, -1],\n [-5, 8, -9, -1],\n [0, 4, -8, -3],\n [4, -8, -4, -6]]\nB =\n[[0, -7, -5, -7, 8],\n [-1, 8, 8, 1, 7],\n [-5, -3, 6, 1, -2],\n [-9, 9, -6, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 0, -6, 1],\n [-3, -7, 1, -8],\n [0, 1, -4, 9],\n [-1, 6, -2, 9],\n [-9, 9, 4, 6]]\nB =\n[[-9, 8, -6, 1, 8, 4],\n [8, -2, 5, 6, -7, 8],\n [-9, -9, 6, -9, -5, -2],\n [10, 7, -6, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "473", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -5, 9, -2, 5, -2],\n [-7, 6, 4, 5, -1, -6],\n [-2, 10, -1, 5, -3, -10],\n [-8, -7, -9, -10, 6, 9],\n [3, 9, -3, -3, 10, 3]]\nB =\n[[7, 5, -6, -10, -7],\n [-9, -10, 10, 10, 9],\n [7, 4, 1, -2, -9],\n [5, -5, 4, -2, -3],\n [-5, 10, -9, -7, -1],\n [7, 6, -1, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 0, 7, -8, 4, 10],\n [1, -9, 3, -10, -1, -5],\n [-3, -5, -7, -7, -8, 9],\n [-1, 8, 10, 10, 5, -1],\n [6, -7, -8, 2, -3, -4]]\nB =\n[[0, 8, 9, 5, 9],\n [2, 10, -10, 8, 4],\n [-7, 0, 2, 4, 9],\n [6, -6, 8, 3, 2],\n [-4, -6, 9, -7, -5],\n [-3, -7, 0, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, -7, -1, -7, -5],\n [-3, -9, 1, 3, 1, 1],\n [3, 6, -8, -4, -2, 2],\n [8, 3, -8, 0, 0, -10],\n [-3, 4, 6, -6, 1, -5]]\nB =\n[[3, -7, 3, -8, 5],\n [10, 7, -6, 10, 2],\n [7, -6, -4, 7, -5],\n [-2, 1, -9, 8, -5],\n [5, 2, 2, 9, 4],\n [-3, -4, -6, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 1, 0, -3, 9],\n [9, 0, -9, 7, -1],\n [8, 9, -5, -7, -6],\n [7, 9, -4, 7, -4],\n [10, 5, -3, -8, 0]]\nB =\n[[10, 9, 0, -5, 7],\n [-9, -2, 2, -8, -3],\n [-2, 9, -5, 10, 3],\n [-9, 5, 5, -10, -6],\n [4, 5, -3, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 3, 4, -10],\n [-9, 5, 5, 8],\n [-8, -9, 4, -8],\n [6, 6, -2, -4],\n [10, -6, 0, -6],\n [-7, -5, 3, -1]]\nB =\n[[-1, 10, -2, 10],\n [6, 0, -1, -6],\n [5, -2, -5, -10],\n [8, -3, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1639", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -9, -4, 9, -7],\n [-8, -5, -9, 2, 9],\n [2, 8, -3, 2, -10],\n [-9, -7, 1, 9, 2],\n [-1, -6, -1, -8, -1]]\nB =\n[[4, -6, 8, 2, -7, -3],\n [4, -8, -7, 4, -8, 1],\n [9, -4, 3, 3, -3, -6],\n [9, 6, -9, 8, 4, 2],\n [-3, 9, -5, 1, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "501", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, 7, -9],\n [0, -2, -4, 1],\n [0, 8, -10, -6],\n [4, -4, 2, 3]]\nB =\n[[7, -2, -10, 4],\n [-8, -8, 3, 3],\n [-10, 2, 0, 1],\n [-1, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -7, 1, 8, -10, 8],\n [5, -5, 6, -5, 4, 6],\n [-7, -7, 3, 5, 8, -8],\n [-3, -1, 7, -2, 6, -10],\n [-7, -6, 9, 5, -2, -7],\n [-9, -8, 10, -5, 9, 0]]\nB =\n[[3, 3, 0, 0, -7],\n [9, 1, 9, 3, 4],\n [-6, -7, -5, -4, -8],\n [-2, 5, -7, -10, 10],\n [6, -5, 10, 7, -8],\n [-2, 0, -10, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1670", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, 10, -2, 0, -4],\n [-9, 3, -6, -3, -5, -7],\n [6, 0, 0, -1, -2, -9],\n [-4, 1, -1, -8, 0, -9]]\nB =\n[[-1, -8, 2, 8, -1],\n [7, -10, -4, -1, 7],\n [0, 9, -5, -10, 0],\n [9, 1, 10, -3, 5],\n [0, -2, 9, 4, 4],\n [-9, -2, 8, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1248", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 5, -6, 6, -1],\n [-8, 9, 2, -9, 10],\n [-1, 5, -8, 9, -10],\n [4, 8, 6, 0, 4]]\nB =\n[[-6, -1, 0, 1],\n [-10, 6, -8, 2],\n [-5, 5, 2, 0],\n [-5, 7, -5, 9],\n [1, 5, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "902", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 10, 5, -3, 2, 7],\n [2, 1, -1, -1, 7, 4],\n [-1, 6, -6, 8, 4, -5],\n [3, 7, 4, 6, -3, 0],\n [1, -5, 6, 4, 6, 6],\n [1, 9, -3, 0, 4, -4]]\nB =\n[[10, 1, -1, -8, 6],\n [6, -9, 8, -8, -3],\n [-4, -7, 4, 3, -9],\n [4, 9, -10, -7, -1],\n [3, -10, -7, -1, 7],\n [9, -1, -1, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2049", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 2, 9, -1, 8],\n [6, -2, -6, 10, 7],\n [6, 4, 10, 3, 4],\n [5, 7, -1, -7, 6],\n [1, 0, 7, -10, -4],\n [1, 10, -9, -7, 2]]\nB =\n[[-2, -7, -4, 1, 10, 6],\n [-5, 10, -1, -7, 6, 3],\n [7, -5, -3, -5, 10, -1],\n [-9, 0, 3, 4, 8, 6],\n [-5, 2, -1, 4, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 4, -5, -4, -8, -1],\n [7, 10, 0, 5, -9, 0],\n [8, 7, -7, 1, -6, 3],\n [-9, -5, 5, 9, 9, -10],\n [9, -5, 4, 7, 4, 5],\n [-6, -10, 10, 8, -6, -1]]\nB =\n[[9, -7, 4, 4, 10, 6],\n [-3, -2, 8, 0, 10, 10],\n [5, 3, -2, -5, 8, 9],\n [8, 10, -1, 9, -1, 6],\n [8, 9, 5, 6, 10, -8],\n [3, 8, -7, 4, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 4, -3, -4, -3, 1],\n [0, 0, 6, 3, -10, 0],\n [3, 2, 5, -8, -8, 2],\n [9, 2, -6, 9, 10, -8],\n [4, -8, 10, -5, 0, -2],\n [-10, -5, -6, 1, -6, 8]]\nB =\n[[-5, -5, 5, -6, -1],\n [4, -7, -9, -6, 0],\n [8, -1, 6, -4, -2],\n [-6, -9, 4, -6, -6],\n [9, -8, -2, -10, 4],\n [-10, 2, 5, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, 6, 10, -1, 1],\n [10, 1, 3, 6, -7, 5],\n [8, 0, -3, -8, -5, -8],\n [-9, 5, -5, -7, 5, 2]]\nB =\n[[3, 9, 2, -4, -8, -1],\n [-4, -1, -8, -3, 2, -3],\n [-8, -10, 6, 6, -8, 7],\n [10, -8, 5, -7, 10, 9],\n [-8, -9, -1, 8, 10, -8],\n [-7, -10, -8, -8, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 2, 9, -8, -1, 10],\n [9, 9, 3, -9, 7, -1],\n [3, -6, 6, 8, 3, -4],\n [9, -9, 10, -6, -2, -6],\n [10, 0, 2, 7, 6, -10],\n [4, -4, 10, -6, -4, -9]]\nB =\n[[-7, -2, 4, -3],\n [7, 3, 6, 9],\n [3, -2, 10, 9],\n [-3, 9, 5, 2],\n [-6, -9, -8, -3],\n [5, 2, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, -7, 4, -8],\n [-7, 6, 5, -5],\n [5, 2, -5, -8],\n [-2, -7, -3, 9],\n [0, -6, 2, 2],\n [-10, 5, -1, -3]]\nB =\n[[10, 10, 4, -10, 2, -5],\n [1, -4, 1, -4, -7, -10],\n [-8, 2, 9, -1, 3, 2],\n [-3, -10, 8, 10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -9, 6, 2, 8, -4],\n [-10, 5, 2, 9, -10, -4],\n [-6, 10, 7, 4, -5, 6],\n [8, -4, -1, -5, 9, -5],\n [5, 0, -9, -4, -4, -3]]\nB =\n[[7, -2, 0, -6, -1],\n [10, -6, 1, -2, 0],\n [10, -2, -5, -2, -10],\n [-6, 8, 8, -10, 3],\n [-9, 7, 3, -4, 3],\n [-8, 0, 8, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, -1, 3, 6],\n [9, 5, -10, -8, -3],\n [-6, 2, -1, 0, 7],\n [-5, 7, 2, -8, 8],\n [-6, 1, 2, 7, -8]]\nB =\n[[-5, 6, -4, 4, -5, -3],\n [8, -5, -4, -3, -9, -4],\n [6, 10, -8, 1, 9, -1],\n [-8, -8, -2, -1, -1, 10],\n [-5, -8, 4, -9, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1804", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -10, 8, -4, 8],\n [4, 3, -2, -3, -6],\n [7, 4, -4, -8, -2],\n [4, -7, -3, -8, 10],\n [3, -3, -7, 6, 0]]\nB =\n[[-2, -4, 10, 9],\n [5, 0, -9, -5],\n [-10, 8, -5, 4],\n [-9, -8, -8, 8],\n [9, -2, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1297", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -6, 9, -4, -2],\n [2, -1, -7, -3, -2],\n [8, -5, -3, -5, 4],\n [-5, 5, 9, 7, -9],\n [-8, 0, 3, 10, 9]]\nB =\n[[-6, 8, 8, -9, 6],\n [3, -6, -8, -3, -9],\n [6, -10, 1, -9, -7],\n [-4, -9, -7, 6, -2],\n [-2, 10, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, -1, 7, -4, 4, 10],\n [-9, -6, 0, 2, -5, -6],\n [6, 2, -8, 9, 5, -6],\n [7, 4, 4, 7, -5, 4],\n [0, 3, 5, -5, 3, 10],\n [-7, -9, 10, -10, 8, 2]]\nB =\n[[-3, 3, -7, -9],\n [-8, 3, -6, 2],\n [1, 3, 10, 9],\n [10, -8, 5, -1],\n [-8, 2, -8, -3],\n [2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 1, -8, -9, 2],\n [4, 5, -4, -1, 7],\n [-10, 4, 8, -2, 2],\n [-1, 2, -7, -7, 6]]\nB =\n[[-2, 6, 7, 1],\n [6, -7, 1, -4],\n [7, 4, -4, -9],\n [0, -3, -1, -8],\n [6, -8, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "959", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 10, 1, 6],\n [5, -4, -6, 4],\n [10, 2, 2, -2],\n [9, -4, -8, 4]]\nB =\n[[8, -9, 2, -2, -10],\n [-9, 2, 2, 2, 9],\n [10, -6, 5, 8, 7],\n [-4, -4, -1, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-627", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, 10, 4, -2],\n [5, -1, 10, 3, 4],\n [-5, 6, -8, -10, 2],\n [-3, 5, -5, -1, 4],\n [-3, 2, 8, -4, -6]]\nB =\n[[6, 5, -3, -3, -8],\n [-6, 3, 1, 1, 2],\n [-8, 1, 10, 6, 5],\n [-10, -1, -3, -7, 7],\n [0, -9, 0, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -1, 7, -2, 0, -8],\n [5, -4, 6, 0, -4, 9],\n [9, 3, -3, -2, 1, -5],\n [3, -4, 8, 9, -9, 0],\n [9, 6, 0, 9, -8, 0],\n [3, -9, 2, -5, 5, 5]]\nB =\n[[9, 5, -6, -8, -5],\n [8, 8, -6, -6, 10],\n [9, 1, 4, -7, -9],\n [7, 7, 0, 8, 7],\n [0, 5, 9, -9, 2],\n [-3, 3, 3, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 7, 10, -4, -7],\n [2, 0, -3, 7, -1],\n [-1, 3, 9, 9, -10],\n [7, -2, -6, 8, -5],\n [5, 10, -7, 0, -3],\n [5, 5, 0, -2, 2]]\nB =\n[[6, -1, 6, -9, 6, -10],\n [-4, -1, 7, -4, -10, -2],\n [-4, -5, -8, -9, 10, -10],\n [-2, -3, -2, 1, -3, -9],\n [1, -5, -1, -3, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-936", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -5, -5, 8, -2, -10],\n [-8, -1, -8, -7, 1, -8],\n [-1, -5, 0, -7, 3, -10],\n [-4, -3, -7, -1, -4, -10],\n [7, -4, 1, 4, -6, -6]]\nB =\n[[-1, 2, 7, -2, -7],\n [-7, 8, -9, -1, -10],\n [5, -6, 10, 2, 8],\n [-1, 10, 1, 0, 7],\n [5, -1, 8, 2, 3],\n [8, 3, -10, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 10, -6, -8],\n [5, -3, 7, 10],\n [6, 7, 6, 3],\n [-5, 6, 2, -5],\n [-3, 6, -5, -5]]\nB =\n[[10, 7, -3, 4],\n [-6, 5, 2, 10],\n [-10, 7, -7, 1],\n [4, 9, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -8, -1, 4],\n [-10, 0, 6, 9],\n [-1, -6, -7, 4],\n [8, -1, -9, -10],\n [-8, 3, -3, -6],\n [-4, -2, 6, 2]]\nB =\n[[-1, -1, -10, 9],\n [5, 5, -3, 6],\n [-2, -7, -5, -6],\n [3, -8, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 3, 9, -8, 10],\n [-2, -10, -5, 10, -3, -10],\n [-6, 7, 10, 10, 4, -9],\n [7, -2, -2, 2, -6, 2]]\nB =\n[[6, 5, 4, 5, -6],\n [0, 7, -5, -8, -9],\n [-10, 7, 7, 3, 1],\n [0, 3, -9, 0, 8],\n [-10, 1, -1, 8, -2],\n [-2, 1, 5, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[-6, 4, -8, 8, -7],\n [6, 0, 10, 9, -3],\n [10, -4, -9, 8, 4],\n [0, -4, 7, 10, -2],\n [-2, 10, -4, -7, 9],\n [10, -1, -6, 8, -9]]\nB =\n[[3, 8, 5, -8, -1],\n [-3, 2, 9, 0, -8],\n [10, 1, -6, 9, 5],\n [-4, 6, 9, 4, -9],\n [5, 8, 2, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 8, 3, 3],\n [-3, 8, 7, -7],\n [-4, 6, -6, 7],\n [-6, 8, -10, 10]]\nB =\n[[-2, -4, -1, -9],\n [-2, 4, -2, 4],\n [-9, -3, -2, -4],\n [-9, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "755", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[10, -1, 4, 9],\n [10, 1, -8, -2],\n [6, -8, -3, -7],\n [-5, 8, 0, 7],\n [1, -1, -5, 7],\n [-5, 1, -8, 2]]\nB =\n[[-10, 2, -2, -2],\n [-2, 2, 3, 6],\n [1, 10, -2, 4],\n [-3, -9, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 6, 5, 8, 4],\n [-9, -3, -3, -5, 3],\n [9, -2, 1, 0, 6],\n [4, -1, -6, 2, 4],\n [0, 4, -10, 8, -9]]\nB =\n[[7, 8, -10, 0],\n [10, 8, -9, 1],\n [-5, 8, -8, 6],\n [-8, 0, 3, -2],\n [-3, 1, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 6, 2, 10],\n [7, -8, -3, 8, -2],\n [-2, 2, 3, -10, 2],\n [-7, -3, 2, -7, -1],\n [10, -9, -4, 1, -2],\n [-7, -7, 3, 0, -2]]\nB =\n[[-7, 8, 10, -4, -5, 5],\n [6, 9, 1, 7, 9, -3],\n [10, -5, 1, 2, 3, 10],\n [9, -3, -7, 4, 5, 9],\n [9, 8, 4, 9, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-4, -6, -6, -3, 7],\n [5, -4, -4, -2, 5],\n [4, 2, 9, -3, -7],\n [0, -8, -5, -7, 0],\n [-8, -6, -7, -1, 9],\n [-5, 10, 4, -4, 2]]\nB =\n[[1, 6, 8, -4, -9],\n [-3, 4, -1, 9, 4],\n [9, -4, -5, 3, -2],\n [-6, 6, -6, 8, 0],\n [-9, 7, -5, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -2, 6, 10, 9, 1],\n [-2, -1, -8, -5, -3, 10],\n [-4, 1, -10, -1, -9, -9],\n [-5, -4, 2, 7, 9, 0]]\nB =\n[[3, -1, -10, 8, -6],\n [3, 6, -7, 10, -1],\n [-2, 8, 6, 9, -3],\n [-8, -8, -3, 8, -9],\n [10, 8, 5, -8, 2],\n [-4, -6, 4, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -4, -4, 6],\n [-10, 8, 3, -1],\n [-1, 10, -6, -9],\n [0, -4, -9, -6]]\nB =\n[[-5, 7, 2, 10, 6, -10],\n [8, -3, -6, -3, -8, -10],\n [-10, 2, 0, -9, -4, -5],\n [-8, -10, -6, -8, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "626", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 7, -5, 10],\n [-6, 8, -2, -7],\n [-6, -4, -1, -9],\n [-5, -9, -8, 9]]\nB =\n[[-10, -9, 3, -6, 4, 7],\n [-1, -7, -10, -2, 6, 0],\n [-10, -7, 1, 6, 1, 2],\n [-10, 5, 6, -7, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "269", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-6, 6, 10, -9, 5, 0],\n [-1, -6, -7, -9, -3, -3],\n [-7, -7, -10, -6, -5, -5],\n [-6, 8, 8, -1, 6, 2],\n [-7, 3, 5, 2, 5, 3],\n [9, -3, -8, -1, 0, -2]]\nB =\n[[-6, -8, 2, -10],\n [-1, -10, -4, 8],\n [0, -4, -8, 9],\n [2, -3, -2, 9],\n [9, -9, 7, 3],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-8, -4, -4, 4, 5],\n [10, 3, -5, -10, -2],\n [-4, -3, -1, -9, 8],\n [-4, 2, -8, 1, -8]]\nB =\n[[0, 1, -2, 6, 4],\n [-7, 7, 2, 7, 5],\n [0, -2, 7, 2, 4],\n [9, 0, 2, 7, -9],\n [1, 7, 9, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -7, 8, 1, 8, -8],\n [-4, 2, 3, -8, 6, 7],\n [-4, 8, -1, 4, 9, -10],\n [-9, 1, 4, -1, 2, 10],\n [9, -4, -7, 0, -2, -4]]\nB =\n[[9, 2, 10, 3, -6],\n [9, 5, -4, 8, 4],\n [8, -8, -5, -1, -6],\n [2, 3, 4, -4, 9],\n [10, 10, -8, -10, 10],\n [4, -3, -9, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[8, 0, -2, -8],\n [3, 9, 5, -10],\n [4, -8, 2, 0],\n [-8, -1, -1, -5]]\nB =\n[[9, -6, 3, -4, 9, -2],\n [-9, 2, 1, 8, -10, 4],\n [-7, 8, -1, -9, -7, 5],\n [2, 1, 8, 2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -2, 10, -10, 5, 9],\n [-9, 8, -10, 7, -2, 2],\n [-10, 7, -4, 10, 3, -4],\n [0, 7, 2, -6, 2, 8]]\nB =\n[[-8, 3, 0, -10, 7, 8],\n [3, -9, 2, -1, -7, -1],\n [6, 7, 2, 7, 10, 0],\n [-10, 5, 5, -3, 5, -8],\n [6, 0, 2, 5, -2, -10],\n [-6, 4, 5, 7, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -9, -10, 10, 0, 3],\n [-10, -2, -6, 8, 3, 0],\n [1, -9, -5, 4, 10, -8],\n [1, -7, -5, 7, 2, -5],\n [-2, 3, 8, -8, -4, 4],\n [-10, 8, 9, -6, 8, -9]]\nB =\n[[10, 2, -8, -7],\n [1, -9, -7, -4],\n [-5, 8, -4, -2],\n [-3, 10, 10, 7],\n [6, -6, -8, -3],\n [5, 3, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -1, 3, 1, 7],\n [-8, 7, -1, -2, 8],\n [3, -8, -8, -10, -2],\n [9, 10, 3, -2, -6],\n [-2, -8, 4, -2, 4],\n [1, -2, -7, 3, 4]]\nB =\n[[9, -3, 5, -10],\n [-7, 2, 9, -9],\n [-6, -2, -6, 6],\n [7, 5, 3, -4],\n [5, -4, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 8, -9, 6, 10, -1],\n [-5, -8, 7, 6, -8, 10],\n [-7, -9, 8, -4, 9, 8],\n [2, -7, -7, -2, -4, 8]]\nB =\n[[-1, 2, 4, -7, -3, -10],\n [5, -10, 4, -9, 2, 5],\n [3, 5, 1, 9, 10, -6],\n [-3, 9, 9, -2, -9, 9],\n [-9, -7, 3, -5, 0, 7],\n [-9, 3, 2, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, -8, 3, 0, 5],\n [-9, 8, -2, -5, -3],\n [2, -7, -8, -8, 8],\n [5, -5, 8, -2, -2]]\nB =\n[[-8, -10, 8, -2],\n [-1, -10, 3, -1],\n [-6, 10, 2, 0],\n [8, 4, -4, -1],\n [-8, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[2, 6, -9, -7, 9],\n [7, 8, -9, 2, 6],\n [-9, -3, -9, 8, -6],\n [5, 3, -6, 2, -10]]\nB =\n[[-8, -6, -8, -1, 10],\n [-8, -6, 2, -2, -3],\n [-6, 6, -1, -5, 8],\n [-8, -5, 6, -5, -3],\n [-7, -4, -7, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 2, -7, 0, 8],\n [10, -2, 3, 4, -6],\n [-8, -3, -8, 4, 6],\n [8, 8, 7, -6, -3],\n [0, -3, 4, -9, 6]]\nB =\n[[4, -6, -6, 1, 1],\n [9, -5, -7, -1, 4],\n [-9, 7, 6, -3, -10],\n [-10, -8, -3, 7, 1],\n [8, 10, -9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, 4, -2],\n [-6, 5, -8, -5],\n [-4, 10, 9, -1],\n [-10, -3, 3, -9],\n [1, 4, 10, 7],\n [1, 2, 4, 8]]\nB =\n[[-2, 10, -6, 0, 5, 7],\n [-6, 10, -6, -7, 7, -10],\n [6, 1, -6, -1, -2, 1],\n [-1, 1, 4, 6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -1, 6, 2, -9, 2],\n [7, 7, -10, 1, 6, 7],\n [9, 6, -8, -10, -2, 4],\n [-2, 7, 7, -6, 6, -2]]\nB =\n[[3, 7, -2, -6, -5],\n [8, -8, 6, -5, -4],\n [3, 0, -3, 6, 10],\n [10, -5, 10, 0, 2],\n [0, -1, -4, -10, -2],\n [4, 9, 2, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -10, -3, -6, 8, -10],\n [-7, 10, 9, 2, -9, 7],\n [-2, 4, 5, 7, -1, 4],\n [-4, -3, 6, 5, 0, -10],\n [5, -3, -6, -10, 7, -6],\n [-5, 3, 3, 1, 1, 4]]\nB =\n[[-7, 5, 9, 3],\n [-5, 7, 7, 4],\n [-5, -3, -8, 2],\n [-1, 8, -7, -4],\n [-4, 6, -9, -10],\n [-6, -10, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1760", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 3, 3, 6, 4, -1],\n [8, 7, -10, 6, -2, 4],\n [0, -1, 1, 8, -5, -6],\n [7, -7, -5, 2, -8, 1],\n [8, 0, -5, -9, -9, -7],\n [-1, 10, 3, -2, 7, 7]]\nB =\n[[-1, -2, 0, 5, 6, -9],\n [10, 0, -10, 2, 8, -2],\n [-7, -10, -4, -4, 2, -9],\n [-1, 5, -5, 9, 7, -5],\n [8, 3, 10, 9, 10, 7],\n [-6, 0, -9, 5, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2351", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, -6, -6],\n [-4, -1, 0, -5],\n [-10, -8, 10, -6],\n [-10, -3, -6, -7]]\nB =\n[[10, 2, 1, 1],\n [-1, 8, 4, 6],\n [9, -5, -7, -8],\n [10, -2, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1090", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, -9, -5],\n [9, 1, 0, 5],\n [2, -2, -6, -9],\n [6, 1, 0, 1]]\nB =\n[[-1, 9, 1, -4, 9],\n [-6, -9, -9, 7, -8],\n [7, -6, 6, -8, -7],\n [-7, 8, -9, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "601", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-1, -1, 0, 5, 9, 6],\n [-9, 7, -9, -1, -1, 6],\n [-9, 8, -3, -10, 2, 6],\n [-10, -5, -2, 1, 3, -4],\n [10, -6, -10, 9, 4, 0]]\nB =\n[[-3, -10, -3, -4, -1],\n [1, 5, 3, 3, -4],\n [9, -6, 7, 10, 7],\n [-7, -4, 9, 1, -1],\n [-8, 2, -5, -2, -1],\n [-2, -7, 8, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 9, -2, -7],\n [-8, 8, -9, 1],\n [-9, -4, 2, -5],\n [-9, 2, 8, 7],\n [-6, -7, 4, 2],\n [-2, 4, 4, 1]]\nB =\n[[4, 2, -9, 5],\n [-10, 1, -5, -2],\n [-10, 6, -3, 8],\n [-8, 5, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 4, 8, -10, 10],\n [3, -9, 8, 4, 0],\n [2, 9, 2, 5, 1],\n [7, 5, -10, 3, 1],\n [-10, 2, -7, -4, -1],\n [-8, 5, 1, -5, -10]]\nB =\n[[4, -4, 5, 1, -2],\n [-3, 2, -6, 5, -2],\n [10, -5, -9, 9, -7],\n [-10, -1, 0, -7, -2],\n [3, 9, 7, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -9, 6, -6, -3],\n [-9, 8, 7, 7, -7],\n [-3, 3, 4, 6, 9],\n [0, 7, -2, -6, 5]]\nB =\n[[-6, 4, 9, 0],\n [-5, -7, -3, -5],\n [7, 0, -2, -8],\n [3, 5, 1, 6],\n [2, 3, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[0, -5, 8, 4, -4, -2],\n [-5, 2, 8, -8, -10, 9],\n [2, 1, 7, -6, 9, -6],\n [3, 4, -8, -1, -5, 5]]\nB =\n[[-4, -3, 10, -3, 9, 4],\n [4, 10, 10, -10, -2, -8],\n [-2, 5, 2, -4, 7, 7],\n [-4, 10, -3, -9, -4, 8],\n [-10, 0, 2, -4, 3, -8],\n [2, 6, 0, 3, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[2, 6, -3, 2, 0, -8],\n [-6, -1, -8, -10, -9, -8],\n [-6, -4, 9, -7, 8, -2],\n [1, -3, -9, 7, -7, 9],\n [-2, 2, 7, 10, 7, -10],\n [1, 5, -10, -4, -3, -8]]\nB =\n[[1, -6, 4, -10, 0],\n [5, -7, -2, -5, -7],\n [-8, 3, 10, -2, 9],\n [-9, 4, 9, 5, -6],\n [-9, 0, -1, 9, 0],\n [-6, 3, 1, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, 5, 5, -9, 0],\n [2, 7, 7, -4, 7, -4],\n [3, 0, -6, 2, 5, -3],\n [-4, -6, 10, 10, 0, -4],\n [4, -10, 6, 9, 4, 6]]\nB =\n[[-8, 4, 6, -3, 4, 0],\n [-8, -6, -10, 6, -8, 5],\n [4, -3, 1, 9, 5, 10],\n [-5, -1, 9, 7, -3, -3],\n [1, 2, -4, -10, -2, 7],\n [-1, -5, 7, 5, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 8, 0, -6, 2],\n [3, 5, 6, 4, -7],\n [7, 6, -2, -4, 6],\n [-10, -3, -9, -2, -5],\n [-4, 5, 8, 1, -4],\n [-1, -1, 3, 2, -6]]\nB =\n[[-5, 8, 0, 6],\n [8, 8, -7, 9],\n [-4, 8, 6, 5],\n [-2, 8, -9, 7],\n [1, -4, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1426", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 7, -6, -5, -2],\n [-1, -8, 6, 10, -4],\n [2, 4, 3, 10, 7],\n [5, 0, 8, 0, 9],\n [5, -7, -9, 7, -1]]\nB =\n[[-9, 7, 4, 2, 6, -3],\n [4, 9, 1, 0, 7, 8],\n [9, -4, -3, 3, 0, 7],\n [10, 8, 6, -7, -7, 6],\n [-4, 5, 8, -9, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 3, -2, -2, -7],\n [-8, 5, -5, -5, -7],\n [9, 3, 9, 1, 0],\n [10, 6, 9, 4, -9]]\nB =\n[[-5, -9, -8, -7, 9],\n [5, -4, -9, -7, 6],\n [5, 10, -9, -8, 9],\n [5, -1, 9, 6, -1],\n [-4, 7, 10, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-515", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 2, 8, 2, 9],\n [2, 7, -8, 5, -7],\n [-10, -2, 6, 0, 4],\n [9, 3, -4, 9, -9]]\nB =\n[[-6, -6, 6, -7, -3, -5],\n [-10, 0, 3, 3, -10, -10],\n [-5, 8, 4, 9, 9, 3],\n [6, 3, -1, -4, 8, -5],\n [6, 2, 2, 6, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 0, 9, -10, 6],\n [2, 5, -1, -9, -3],\n [1, 8, -6, 4, 6],\n [4, -10, -4, -4, 9],\n [-10, 10, -5, -10, -5],\n [1, 5, -7, 5, -6]]\nB =\n[[6, 8, -6, -8],\n [4, 8, 9, -1],\n [5, 9, -9, -9],\n [3, -7, 9, -2],\n [10, 6, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -3, -7, 10],\n [-9, -9, -9, -1],\n [1, 0, -1, 1],\n [9, -4, 2, -2],\n [-8, 8, 1, -4],\n [-4, -8, -5, -4]]\nB =\n[[-3, 8, -2, -4, -9],\n [7, -9, 0, -6, -1],\n [-3, -10, 8, -10, 9],\n [-10, -10, -5, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -8, 5, -7, -9],\n [0, 4, -5, -5, 7],\n [4, -8, 9, 7, 9],\n [2, -3, 10, 3, 1],\n [-10, 3, -2, -7, 1],\n [6, -1, 0, 4, 5]]\nB =\n[[9, -10, -9, -7, -1],\n [-8, -7, 6, -8, 8],\n [-7, 8, -9, -5, 9],\n [-4, -8, 3, 9, 10],\n [6, -8, 9, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -1, 7, 5],\n [-2, 4, -1, 6, 3],\n [-1, -6, 5, -2, -9],\n [9, -9, 0, -6, -5],\n [6, -5, 4, 6, 0],\n [-3, -3, 0, 9, -8]]\nB =\n[[-5, -2, 2, 1, 10, 4],\n [7, -1, -1, 10, -2, 5],\n [6, 5, 2, 1, -5, 1],\n [5, 10, 8, 6, -1, 0],\n [-2, 0, -5, 9, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-7, -2, 8, -6],\n [-2, 10, 9, 8],\n [-5, 9, -7, 10],\n [0, 9, 1, 6]]\nB =\n[[-9, 7, -10, 5],\n [7, -8, -4, -5],\n [-6, -4, 1, -4],\n [-9, 10, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, 8, 2],\n [6, -7, -6, 0],\n [-6, 6, -4, 5],\n [-8, -5, -4, -6],\n [8, 7, -8, -4],\n [7, -9, 4, 6]]\nB =\n[[-3, 0, -1, -4, 6, 2],\n [8, 3, 3, -7, -8, 1],\n [-7, 1, -2, 5, 4, 2],\n [-5, 6, 5, -7, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1759", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -7, -10, 1, -8],\n [-6, 5, 1, -2, 9],\n [-6, -8, -9, -4, 2],\n [-2, -9, 5, -10, 9],\n [-8, 3, -9, -2, 8],\n [-9, -6, 1, -6, 4]]\nB =\n[[-8, -5, 5, 4, 2],\n [-3, -5, 9, 0, -5],\n [10, -9, -6, -9, 5],\n [10, -9, 3, -6, 6],\n [-8, 10, 4, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -8, 5, 4, 1],\n [-6, -1, 6, 3, 7],\n [-5, 3, -10, 5, -7],\n [-8, 6, -6, 0, 4]]\nB =\n[[8, -2, 9, 10],\n [-5, 3, 5, -7],\n [-5, -4, -8, -4],\n [7, 6, -3, 9],\n [-8, -5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 6) of the result:\nA =\n[[0, -4, -9, 0, -9, 5],\n [6, 9, 7, 10, -1, 9],\n [-8, 8, -5, 2, -7, -3],\n [8, 10, 9, -6, 7, 2],\n [2, -4, -7, 5, -9, -1],\n [-7, 7, 3, -2, -1, 0]]\nB =\n[[-10, -6, 10, -2, -3, 5],\n [1, -7, 1, 0, -9, 4],\n [-1, -8, 4, 9, -3, -8],\n [-6, 9, -3, 2, 3, -10],\n [-8, 4, 5, -8, 0, -8],\n [-7, -10, 2, 8, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[-4, 5, -4, 2, 4, 0],\n [2, -9, 0, -6, -5, 1],\n [7, -7, -7, -8, 10, 5],\n [3, 5, -9, 6, -1, 5],\n [-5, -7, 6, 1, -3, 10],\n [-2, -6, -7, 0, 5, 9]]\nB =\n[[-9, -8, 5, 4],\n [4, -7, -9, -9],\n [-10, 7, 7, -4],\n [-5, -9, 4, -10],\n [7, -1, 7, -1],\n [-8, -7, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, 7, -4],\n [-6, 0, 5, 9],\n [6, 8, 10, 8],\n [7, 5, 0, 5],\n [-1, 2, -7, -6]]\nB =\n[[4, 10, 7, -6, 10, 0],\n [-6, 0, 2, -4, 8, 4],\n [1, -1, -9, -9, -5, -9],\n [7, -8, 4, 3, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 5, 6, 0, 6, 0],\n [8, -6, -1, -9, -10, 7],\n [-6, 1, 4, -7, 3, -9],\n [-10, 6, 1, 4, 1, 10],\n [9, 10, 6, 9, 0, -8]]\nB =\n[[-8, -10, -2, -1, 2, 3],\n [-1, -7, -5, 4, -5, 5],\n [-2, -5, -8, 9, 6, -9],\n [-9, 3, -10, 1, 1, 6],\n [-3, -5, -8, 10, -2, 2],\n [8, 10, -4, -9, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 9, -3, 2, 6, 7],\n [0, 6, 3, -7, 5, -3],\n [9, -6, 1, -10, -3, 10],\n [-10, 10, 9, -6, 7, 4],\n [3, -7, 4, -3, -9, -10]]\nB =\n[[-3, 9, -1, -6, -2, 6],\n [8, -5, 8, -6, 7, 4],\n [7, -8, -8, -8, -10, 3],\n [0, -6, -10, 10, 4, 2],\n [3, -9, 7, 7, 2, 1],\n [5, 0, 8, 6, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3044", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 3, 1, 2],\n [-6, -5, -6, -9, -7],\n [-2, 0, -5, 10, -9],\n [-6, 1, 5, -2, -7]]\nB =\n[[8, 10, 9, -5, -7, -8],\n [3, 8, -10, -7, -10, 0],\n [2, 7, -10, -2, 6, -4],\n [8, -7, -8, 1, -5, 1],\n [-2, -10, -10, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1368", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 10, -1, 8],\n [2, -2, 2, 8],\n [-3, -7, 9, -7],\n [2, 2, 0, 1],\n [-1, -7, -2, 6],\n [-7, -9, 10, 7]]\nB =\n[[6, -7, 9, 7],\n [3, -3, -7, 3],\n [1, -4, 4, -3],\n [-3, 6, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-478", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -8, 9, 0, 5],\n [-5, 1, 3, -3, 10],\n [-5, -10, -6, 3, -9],\n [5, -10, -1, 9, 3],\n [-7, -5, 6, 7, -4],\n [-8, 2, 0, 2, 1]]\nB =\n[[-5, -8, -1, -10, 8, -10],\n [-3, 9, -2, -8, 5, 9],\n [-4, -6, 10, 8, -8, -1],\n [10, -3, -9, -4, 8, 6],\n [-3, 4, 3, -10, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 4, -1, -8, 7, -9],\n [2, 5, 4, 4, 10, 7],\n [0, 0, -1, 5, -8, 4],\n [4, -9, -6, -7, -5, 3],\n [5, -1, -8, 9, 3, -6]]\nB =\n[[6, -7, -10, 2],\n [-6, -3, -6, -5],\n [-6, -2, -1, 6],\n [-1, 10, -1, -4],\n [0, 9, -4, 8],\n [-3, 10, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 4, -9, 3],\n [-9, 10, 4, 0],\n [-5, 3, 0, 1],\n [7, 7, -2, -10]]\nB =\n[[-4, -5, 5, 5],\n [5, -3, 6, 0],\n [5, -10, -5, -10],\n [0, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, -2, -7, 3],\n [-7, 6, -5, -4, -4],\n [1, -4, -7, 10, -7],\n [2, 9, 10, -1, 10]]\nB =\n[[-8, 7, 6, -10, -6, 3],\n [4, 4, 7, 1, -5, -6],\n [-5, 6, 10, 8, 9, 0],\n [-10, -8, -6, -5, -10, -3],\n [5, 6, 7, -6, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -3, -4, 9, -8],\n [10, -9, 0, 3, 6],\n [-9, 8, -3, -9, -6],\n [-6, 8, -5, -3, -7],\n [6, -9, 8, -6, 3],\n [8, -8, -2, 2, -4]]\nB =\n[[-9, 0, -5, -10, 9],\n [-1, 4, 6, 5, 4],\n [9, 3, 4, -6, -7],\n [5, -8, -6, 1, 6],\n [-2, -5, -5, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 4, 10, 7],\n [5, 0, 10, -10],\n [8, 2, 7, 5],\n [10, -2, -9, -6],\n [4, -1, -1, -1],\n [7, -5, -9, -7]]\nB =\n[[-6, 1, -2, -9, 10],\n [-4, 3, 2, -7, -6],\n [1, 7, -2, -6, 1],\n [4, -6, -5, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -7, 7, 4, 1],\n [4, 7, -5, 2, -1],\n [3, -3, 10, -3, -8],\n [-10, -1, 4, 7, 5],\n [2, -7, -1, -10, -3],\n [-10, -9, -6, 9, 8]]\nB =\n[[4, 10, -6, 4, 7],\n [1, 5, -4, -6, -7],\n [1, -1, 8, 0, 4],\n [8, 10, 10, 10, 1],\n [2, -9, 0, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1958", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, -1, 0],\n [5, -7, 3, 4],\n [-7, 4, 2, 7],\n [6, -8, -4, -3],\n [-7, 6, -3, -1]]\nB =\n[[-1, 2, 2, 0],\n [-2, -4, 8, -5],\n [-4, 3, 4, 0],\n [-8, 9, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 5, 6, 2],\n [-8, -9, 8, 3],\n [-1, -4, 9, -5],\n [0, -5, -8, 6],\n [10, 1, 7, -9],\n [6, 6, -5, 5]]\nB =\n[[-4, -1, 3, 0, 9],\n [-10, 4, 8, 8, 2],\n [1, -9, -8, 2, -1],\n [0, 4, 6, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[3, 9, -1, 6],\n [3, 5, 2, -7],\n [-1, 7, 4, 2],\n [-2, -8, 4, 3],\n [1, -3, 7, 2],\n [1, 3, -2, 1]]\nB =\n[[3, 10, -10, -9],\n [7, -4, 9, 10],\n [7, 3, -10, -2],\n [8, 8, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[6, -1, 7, -10],\n [1, 4, -5, -3],\n [4, 3, -7, 5],\n [7, 0, -10, -6]]\nB =\n[[-1, 2, -9, -3, -6],\n [9, 8, -8, -1, -10],\n [8, -4, 5, 4, 6],\n [10, 4, -5, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -5, -3, 6, -4, 3],\n [8, -7, 9, -7, -3, -3],\n [10, -5, -4, 0, 5, -5],\n [-3, -8, 3, 7, -4, -3]]\nB =\n[[-7, 1, -10, 7, -6, 0],\n [-7, 2, -4, 3, 8, 6],\n [-5, 4, -4, 8, 9, 3],\n [-6, 7, 4, 0, 4, 9],\n [-5, -4, 0, 2, 2, -2],\n [1, 3, 9, 7, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -4, 9, -2],\n [4, -1, 9, -7],\n [6, 3, -10, 10],\n [-7, 5, 4, -7]]\nB =\n[[4, 5, -1, 1, -7, -3],\n [-6, 10, -4, -1, -7, 7],\n [-10, -9, -8, 8, 1, -10],\n [2, 4, 8, 4, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[1, 8, -6, -6],\n [2, -10, 0, 5],\n [-9, -1, 1, -9],\n [4, 3, 9, -1],\n [2, -5, 2, 7],\n [7, 6, -2, -4]]\nB =\n[[5, -1, -9, 10],\n [1, 10, 7, -5],\n [-2, 1, -4, 4],\n [-6, -3, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -7, 8, 0, -1, 3],\n [-6, -4, -5, -6, -4, 1],\n [10, 4, -3, 7, 5, -7],\n [-3, 10, -3, -7, -2, 0],\n [7, -7, 2, 2, -10, 2],\n [4, -7, 6, 5, -2, 8]]\nB =\n[[-5, 4, -9, -6, 1, -6],\n [-4, -2, -5, -2, -4, 10],\n [1, 10, -1, 6, 5, 7],\n [-7, 10, -8, 10, 4, 2],\n [-3, 4, 0, 3, -9, 9],\n [-2, 7, -8, -2, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 3, 7, -5, 10],\n [-1, 0, 3, -4, -3],\n [8, -5, 2, -3, -5],\n [7, -10, -8, -7, 4],\n [1, 2, 10, 3, -5]]\nB =\n[[1, -2, -9, 3],\n [-6, 7, 4, -10],\n [0, -2, -9, -8],\n [1, 0, -3, 1],\n [5, 6, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[3, 9, -1, -9, 0, -8],\n [-6, 1, 3, -4, 7, -5],\n [-8, 5, 7, 6, -10, 7],\n [4, -6, -4, 5, 0, 10]]\nB =\n[[-9, 4, -6, -9, -7, 8],\n [2, 9, 1, -2, -5, 5],\n [-1, 5, 9, 6, -5, -8],\n [-4, -3, -7, 10, -10, -6],\n [4, -3, 9, 0, -7, -1],\n [-2, 1, 7, -5, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -8, 10, -2],\n [-1, 1, 0, 6, 6],\n [-6, 10, 2, 10, -10],\n [0, 3, 4, -4, 6],\n [0, -3, 6, -8, 9],\n [3, 2, -9, 4, -9]]\nB =\n[[-10, 8, -7, -7],\n [1, -5, 3, 8],\n [-7, -2, 8, 0],\n [-3, -4, 4, -7],\n [-8, 0, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -9, 4, -10],\n [-10, -1, -2, -6],\n [-7, -1, 8, 10],\n [2, -7, -5, -5],\n [-10, 0, -2, -3],\n [0, -7, 4, 1]]\nB =\n[[1, 5, -6, 2],\n [10, -7, -7, 2],\n [5, 6, 6, 10],\n [-8, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 3, -7, -6, -9],\n [-6, -3, -10, -2, -10],\n [-5, 8, -9, 10, 10],\n [0, -4, 6, 4, 4],\n [1, 10, 0, 1, -5],\n [0, 6, 8, -3, 6]]\nB =\n[[-1, -2, 0, 2],\n [-7, 4, 1, -6],\n [3, 0, -2, -10],\n [2, 2, 0, -1],\n [9, -8, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -9, -8, -5, -10, -2],\n [8, -2, -6, 7, -3, 5],\n [-3, -9, -4, 7, 10, -7],\n [-10, 10, -6, 1, -4, 6],\n [6, -7, 3, -9, -5, 6],\n [1, 8, -1, 8, 3, -2]]\nB =\n[[-8, -6, 5, 2, 1, -10],\n [9, -2, 10, 3, 4, -4],\n [-2, 1, -7, 2, 9, 0],\n [-6, 9, -5, -1, -9, -9],\n [9, -5, 1, 9, 5, 7],\n [-10, 7, -7, 0, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-823", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 1, -2, 4],\n [-1, -7, -4, -10],\n [5, -4, 7, 7],\n [-2, 6, -3, 6],\n [-1, 6, -10, 1]]\nB =\n[[-7, -6, -9, 8],\n [10, 9, 6, -7],\n [-10, 8, 0, 4],\n [-5, -5, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[0, -3, 7, 2, -9, -9],\n [10, 6, -9, -4, -10, -2],\n [-10, 9, -3, -10, 9, 9],\n [4, 4, -9, -9, 1, 6]]\nB =\n[[5, -5, -5, -3, 3],\n [8, -8, 6, 7, -1],\n [-2, 0, -4, -8, -5],\n [-5, -5, -4, 5, -9],\n [-9, -4, 3, 5, -2],\n [10, 7, -9, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 7, 2, 8, 2, 10],\n [-3, 10, 2, 7, 8, 4],\n [-9, 10, -7, -8, -8, 5],\n [7, -6, -1, 9, 1, -5],\n [-9, 1, 10, 0, -2, 2]]\nB =\n[[-9, -4, 3, 8, 10, 0],\n [5, 4, -9, -1, 0, -5],\n [-4, -9, 5, 10, 6, -10],\n [7, 5, 10, 7, 3, -6],\n [-1, 1, 7, 1, 1, -4],\n [9, 1, -6, 2, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 8, 9, -3, -3, 5],\n [-4, -2, -8, -4, 8, 3],\n [6, -6, -1, 7, -6, 7],\n [-2, 4, -8, -3, -4, -5],\n [10, -1, 10, 8, 6, -5]]\nB =\n[[-10, -3, 9, 10],\n [-7, -4, 5, -4],\n [-8, -4, -8, -2],\n [-8, 0, 1, 3],\n [-5, -9, -8, -10],\n [1, -6, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -6, 6, -10, 8],\n [-4, -1, 0, 0, -2],\n [-8, 6, 5, 4, -5],\n [3, 9, 6, -4, -10]]\nB =\n[[7, 3, 9, 5, -2, -10],\n [0, -5, -3, 3, 7, -8],\n [7, 0, 5, -8, -6, 1],\n [-7, 3, -7, -4, 6, 1],\n [-2, -10, -2, 5, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[-7, 3, 1, 0, -9],\n [6, 5, 6, 6, 10],\n [-2, 6, 10, 8, -4],\n [8, 7, -10, 1, -6]]\nB =\n[[-7, -9, -6, -9, 10, 7],\n [1, 1, -10, 3, 3, -5],\n [0, -9, -10, -4, 2, -10],\n [5, 8, 4, 4, -7, -7],\n [-1, -2, 6, 8, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 4, 3, -3, 3],\n [-7, 7, -8, -5, -6, -8],\n [-6, -1, -4, -10, -4, 6],\n [-3, -5, -7, 8, 0, 4]]\nB =\n[[-5, 1, -4, -1, -6, -10],\n [-1, -4, -4, -5, 5, 5],\n [-1, 6, 10, 10, -2, 6],\n [-3, 7, 8, 5, -9, -6],\n [5, -9, 10, -8, -8, 10],\n [-1, 3, 4, -1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -7, -4],\n [-10, 1, -3, 10],\n [4, 1, -6, -4],\n [-5, -3, -3, 4],\n [1, -1, 4, -6]]\nB =\n[[-1, 5, -3, -4, -10, -5],\n [4, -3, -6, 3, -3, 10],\n [9, -5, 5, 1, 6, 5],\n [7, 7, -9, 1, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 0, 6, 1],\n [9, -5, 3, 0],\n [-9, 8, 9, 2],\n [-8, -8, -1, -2],\n [-10, 7, 5, 6],\n [-6, -6, -9, -1]]\nB =\n[[7, 4, -1, 10],\n [8, 6, 3, -9],\n [-8, 0, -5, 10],\n [3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-549", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 2, -4, 1, 4],\n [-6, -9, -6, -10, 7],\n [-5, -3, -8, -1, -10],\n [7, 0, 4, -1, 5],\n [-9, 2, 10, 5, 0],\n [3, 4, -1, 10, -4]]\nB =\n[[9, 3, 1, 3],\n [-2, -7, 4, 10],\n [-8, -4, 8, 3],\n [-3, -7, -5, -2],\n [4, 1, 9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-375", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, -5, 3],\n [-2, 4, -4, 6],\n [-4, 5, -1, 2],\n [-10, -2, 7, -4]]\nB =\n[[4, -7, -10, 1, 4],\n [9, -2, 2, 5, 4],\n [3, -10, 9, 4, -1],\n [-1, 9, 7, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 8, 2, -8],\n [0, 1, 6, 4],\n [7, -4, -6, 1],\n [-3, -8, -2, 0],\n [-6, 2, -7, -4],\n [-6, -9, -4, 1]]\nB =\n[[-7, 5, 1, -5, -1],\n [-10, -5, -2, -4, -5],\n [-5, 2, -2, -4, -7],\n [7, 9, -4, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 2, -5],\n [5, -4, 0, -5],\n [8, 10, 10, -8],\n [6, -6, -5, 10]]\nB =\n[[7, 0, 6, 0, 3],\n [10, 2, -10, 0, -2],\n [5, 2, 10, 10, -4],\n [7, -2, 3, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 9, -1, -4],\n [0, 3, -7, 5],\n [-7, 1, -2, 10],\n [5, -4, 5, -10]]\nB =\n[[4, -10, -1, 8, 10],\n [-9, -5, -5, -7, 8],\n [0, -4, -8, -8, 4],\n [-7, -2, 10, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, -3, -5],\n [-4, -5, -1, 6],\n [1, -3, 2, -8],\n [-3, 6, -4, 2],\n [-1, -2, 7, 9],\n [-9, 7, -6, -1]]\nB =\n[[10, -4, -7, -2, 3, 7],\n [7, 1, -5, 0, -7, 6],\n [-5, -6, 8, -7, -8, -8],\n [8, 8, 10, 10, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2005", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 10, -6, -4, 7, 6],\n [-3, 3, 6, -6, -9, -5],\n [1, 0, -5, 3, -2, 2],\n [-6, 8, 3, 7, 10, 2],\n [7, -6, 0, -4, 8, 1]]\nB =\n[[-1, 1, -5, 7, 9],\n [2, 1, -3, -5, -4],\n [3, 5, 9, 0, -10],\n [7, -9, -1, -2, 7],\n [-2, -2, -8, -2, 10],\n [-6, -3, 9, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, -8, -3],\n [-10, 1, 9, -8],\n [-9, -10, 3, 10],\n [-1, 4, 10, 8]]\nB =\n[[2, 1, 0, 5, -8, -1],\n [-6, 6, -3, 6, -2, -2],\n [8, -1, -6, 9, -4, 5],\n [5, 10, -8, 2, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1594", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 7, -5, 1, -2, 10],\n [8, -10, -3, -6, -6, 2],\n [1, 7, -8, 9, -9, -9],\n [-4, -8, 3, 0, -9, -10]]\nB =\n[[3, -7, -9, -5],\n [-6, 4, 4, -9],\n [1, -7, -10, -5],\n [-2, 6, -8, 6],\n [-2, -6, 7, -2],\n [-3, 2, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[6, -5, -10, -5],\n [7, 7, 9, 7],\n [-3, 2, 1, -10],\n [-3, 10, -7, 10],\n [-6, 2, 2, -2]]\nB =\n[[0, 10, 3, 2],\n [7, 4, 6, -1],\n [-1, -3, -3, 7],\n [2, 1, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 8, 4, 2, -6, -8],\n [4, 3, -10, 9, -1, -8],\n [-9, 2, 1, 0, 5, 3],\n [-8, 4, 9, -8, -10, 0],\n [-3, 10, -9, -3, 5, -9],\n [7, 2, 6, -9, 9, -7]]\nB =\n[[-10, 0, 3, -1],\n [-8, -5, -8, -10],\n [-10, 8, 7, 10],\n [7, -10, -4, 9],\n [-10, -8, 3, 9],\n [-3, -9, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[5, -2, -6, 2],\n [-9, 5, 5, -7],\n [-10, 0, -9, 3],\n [-8, -1, -7, 3],\n [9, -2, -1, 10]]\nB =\n[[-1, -6, -8, -7],\n [-7, 8, -10, -5],\n [-7, 4, -4, 9],\n [4, 5, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -5, -6, 8, 1],\n [-4, 7, -7, 5, 8],\n [10, -8, 9, -5, -8],\n [4, 7, 2, 9, 9]]\nB =\n[[-8, 3, 7, 1, -9],\n [-2, -6, 0, -4, 4],\n [-10, 5, 8, -7, 0],\n [-4, 6, 9, -5, -5],\n [-9, 7, 8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 5, 4, -7, -5],\n [2, 6, 8, 5, 1, 9],\n [6, -3, 4, -5, -7, 8],\n [-10, 5, -2, -1, 2, -1],\n [-10, 4, 7, 10, -8, -5],\n [7, -3, 4, 2, -9, 8]]\nB =\n[[-4, -10, -1, 4, 2],\n [-8, -5, 3, 9, -10],\n [-3, 10, 5, -3, 4],\n [-5, 7, -10, 4, 5],\n [7, -9, -5, 3, 9],\n [6, -8, -9, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1766", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -3, -5, -1, 3],\n [-9, -4, 6, -10, 4],\n [-9, -8, 10, 3, 7],\n [5, -7, 8, 8, 8],\n [-8, 7, -5, 3, 8],\n [0, -4, 9, -9, 2]]\nB =\n[[-1, 6, 1, 7, -8, -8],\n [-1, 9, 3, 6, 3, -3],\n [-8, 9, 4, -4, -2, 4],\n [-5, 10, -9, 1, 8, 1],\n [7, 4, 3, -9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 4, -5, -3, 10],\n [-8, 1, 0, 2, -10],\n [5, -5, 10, 1, -9],\n [-8, 5, 10, -10, 3],\n [3, -10, 0, 7, -8],\n [-2, 0, 3, 1, -6]]\nB =\n[[-5, -7, -3, 1, -2],\n [-4, 3, 6, -7, 8],\n [-10, 1, -2, 10, 0],\n [0, -4, -8, -7, -3],\n [-10, -5, 9, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[-4, 4, 2, -1],\n [-5, -1, -7, 2],\n [-3, -8, 8, -3],\n [-4, -3, -7, -3],\n [-9, -3, 1, 4],\n [1, -5, 10, -9]]\nB =\n[[5, 3, 1, 9, 8],\n [-6, -7, 4, -9, 7],\n [8, 10, -4, 0, 0],\n [0, -6, 5, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 2, 9, 0],\n [0, 0, 4, 6, -8],\n [10, -7, 2, 2, 6],\n [-8, -3, -6, -2, 2],\n [9, -9, -8, -6, -4]]\nB =\n[[9, 5, -2, -9],\n [2, -4, -3, -4],\n [-7, -1, 6, -10],\n [3, 9, 5, -4],\n [0, 7, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 1, -10, -2, 1],\n [9, -4, 9, -3, 9],\n [3, 0, 0, -3, -2],\n [-4, -1, -6, 5, 6],\n [10, 9, -8, -6, 0]]\nB =\n[[-2, 7, -2, -9, -3],\n [2, 7, -5, 8, 1],\n [10, -7, -8, -3, -8],\n [0, 4, 3, 1, -10],\n [1, -8, -4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1647", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 0, 5, -9, 2],\n [-7, -4, 0, -5, -7],\n [-9, -5, -10, 7, -4],\n [8, 7, -9, 2, 1],\n [5, 6, 8, -9, 7],\n [2, -1, 9, -10, 5]]\nB =\n[[-3, 5, 5, 8, -5, 7],\n [-8, -8, 5, 8, -3, -5],\n [-7, -4, -8, 3, 2, 5],\n [10, 5, -10, 5, 4, 5],\n [-3, 3, 2, 5, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-9, 3, -5, 4, 0, 0],\n [-7, -8, 5, -9, 10, -4],\n [2, 3, 8, 6, 5, -3],\n [-5, 2, -2, 4, 1, -7],\n [0, -2, 4, -10, 2, 10]]\nB =\n[[-6, 2, 6, -6, -2],\n [-1, 10, 8, 1, 0],\n [-4, 3, 2, -8, 5],\n [5, -9, 3, 3, 4],\n [4, -8, 6, 10, 10],\n [2, -3, 8, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -6, 5, -5, -1],\n [8, 8, 9, 10, -7],\n [-1, 6, -5, 8, 3],\n [8, 10, -6, 10, -5],\n [4, 7, -9, 7, -1],\n [9, 5, 1, -10, 1]]\nB =\n[[-4, -10, 3, -10],\n [-4, -10, -10, 4],\n [-7, 1, 8, 1],\n [-3, 0, 9, 2],\n [7, 2, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1007", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[8, -7, -2, 4],\n [0, -4, -5, 1],\n [-7, -1, 10, 6],\n [-9, -9, 1, -10],\n [0, 1, 6, 9],\n [-8, -9, 8, 6]]\nB =\n[[-10, -6, 10, -8, -10],\n [-8, 6, -2, -5, 10],\n [2, -7, -9, 9, 7],\n [9, 4, -3, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[2, 6, -8, 0, -1, -3],\n [-3, 1, -8, -8, 0, -6],\n [4, 7, 10, -3, -1, -2],\n [-3, -4, -4, 2, 9, -2],\n [3, -6, 4, 0, 1, 5],\n [7, -7, -7, -5, 10, 6]]\nB =\n[[1, -8, -10, 0],\n [-3, 3, 3, 8],\n [-8, -3, 8, 1],\n [10, 1, -8, 7],\n [-9, 0, -2, 3],\n [-4, 2, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 3, -9, 8],\n [3, 6, -2, 3, -9],\n [3, -6, 0, -2, -3],\n [3, -2, 6, -5, -6],\n [-6, 4, 5, -8, 1],\n [1, -3, -8, -3, 7]]\nB =\n[[7, -2, 8, 9, 0, 3],\n [0, 8, 2, 1, 3, 5],\n [0, -2, 1, 5, -10, -6],\n [1, -10, -6, -1, -3, -7],\n [7, 8, -7, 3, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 3, -7, -6],\n [-2, 5, 5, -8],\n [1, 1, -5, -6],\n [3, 2, 3, 1],\n [7, -8, 3, -7],\n [10, -7, -1, -2]]\nB =\n[[3, -10, 0, 7, -5],\n [-2, 3, -2, -3, 1],\n [6, -6, -8, 10, -4],\n [-2, -3, -6, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, -1, 8, -8, -6, 3],\n [5, -3, 9, 4, 8, -5],\n [4, 0, 8, 9, -5, -1],\n [-5, -6, 3, 10, -10, 3],\n [-9, -6, -8, -1, 7, -5]]\nB =\n[[10, -7, 4, -1, -9, -1],\n [3, 8, -5, 0, -2, -2],\n [5, -8, 2, 2, 9, -2],\n [-5, 4, 1, 5, 5, 8],\n [9, -7, -7, 4, 8, 4],\n [-7, 7, 9, -4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -5, 1, -5],\n [-4, -7, 5, 3, 4],\n [0, -9, -8, -2, -10],\n [9, 3, 10, -4, 10],\n [-4, -3, 9, -6, 8]]\nB =\n[[-7, 1, -6, -3],\n [-1, -6, 6, 3],\n [-9, -9, -5, 9],\n [-4, 0, -4, -3],\n [5, -9, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 0, 1],\n [10, 10, -3, -6],\n [-5, -5, -7, -3],\n [-4, -9, 5, 0],\n [7, 6, 7, 9],\n [-8, 3, -9, -6]]\nB =\n[[-9, 3, 3, -5, -3],\n [-8, 7, 6, 7, -2],\n [-10, -3, 5, 1, -5],\n [10, 10, 2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, -1, 10, 7, -8],\n [-10, 6, 6, 9, -1, -7],\n [-4, 5, 10, -4, -1, -3],\n [1, 3, -6, -8, 3, 9]]\nB =\n[[6, 9, 1, -7, 10],\n [4, -1, 9, -5, -3],\n [1, 5, 5, 0, -4],\n [-8, 10, -3, 5, 3],\n [9, 9, -8, 1, -4],\n [-9, 5, 0, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -5, 0, -4],\n [2, 3, 3, -10, 7],\n [3, 7, -3, -7, 6],\n [5, 6, -9, 6, 0]]\nB =\n[[3, 6, 0, 9, -7],\n [-9, 2, -3, -7, -1],\n [-4, 2, -4, -5, 1],\n [-1, 5, 1, -9, -1],\n [2, -5, 3, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[6, -5, 6, -7, -6],\n [10, 10, -5, 1, 10],\n [3, 3, 8, -6, 8],\n [-3, 7, -5, -10, 9],\n [-7, 9, 1, 7, 5]]\nB =\n[[-8, -6, -7, 2],\n [-9, 3, -10, -1],\n [5, -4, -3, 3],\n [10, -4, 9, 3],\n [0, -8, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 1, -10, 3, 1],\n [-9, 2, 7, 10, 8],\n [-9, -6, 2, 4, -2],\n [10, 9, -8, 4, -2],\n [3, -6, 3, 0, 1],\n [-2, -6, 0, 4, -2]]\nB =\n[[4, 8, -4, -1],\n [-1, 6, 10, 2],\n [-10, 6, -2, -7],\n [-2, 7, 6, -1],\n [-3, 5, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1306", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 7, 6, -6, 7, 0],\n [5, 7, 8, -6, -9, 7],\n [9, 4, 7, 0, -8, -3],\n [-1, -4, 0, 5, -3, -8],\n [4, -2, -4, -1, 7, -7]]\nB =\n[[-3, 3, -8, -7],\n [-1, -6, -4, -4],\n [-2, 3, 7, 9],\n [-10, 9, 7, 10],\n [-10, 2, -6, -2],\n [-5, -2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-5, 1, 0, 10],\n [9, -6, 4, -4],\n [-6, 8, 3, 5],\n [-1, 10, -6, 9],\n [-7, 0, 6, -1]]\nB =\n[[8, 1, 9, 7, -6],\n [3, 10, 4, 6, -6],\n [-10, 8, -8, 2, 5],\n [4, -3, 2, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, 10, 1, -3],\n [-10, 10, 10, -6, -10],\n [-2, 8, -10, -10, -5],\n [-5, -4, 9, -8, 4],\n [1, -5, 3, -1, 8]]\nB =\n[[-2, -8, 9, -6],\n [5, -1, -2, 1],\n [2, 3, 8, 5],\n [10, 4, -5, 2],\n [-8, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 3, -2, -6, -6, -4],\n [4, 3, 10, 8, 4, 1],\n [0, 3, -10, -4, 6, 2],\n [8, 3, -8, 8, 10, -6],\n [2, 6, 2, -5, -5, 1]]\nB =\n[[2, -7, 9, -8, 4, 10],\n [-1, 1, -2, -9, -2, 0],\n [-9, -9, 1, -10, -1, -1],\n [1, -9, -2, 4, -3, -5],\n [6, 9, 1, 10, 6, 9],\n [10, 8, 6, -4, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2091", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 4, -3, -4, -10, 1],\n [3, -2, 5, 0, -9, 9],\n [10, -7, 6, 6, 8, 7],\n [-8, -4, -2, -1, -2, -7],\n [-1, -1, -10, 0, -5, 7],\n [-6, 6, 9, -10, 4, 8]]\nB =\n[[9, 4, -10, -8],\n [9, -4, 3, 9],\n [-3, -2, 10, 1],\n [-10, -8, 4, -7],\n [10, -5, -2, -9],\n [-2, -6, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1943", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 9, 8, 5, -7],\n [6, -6, 2, 2, 10],\n [9, -1, 2, 6, -7],\n [1, 10, 3, -1, -2],\n [0, -6, 3, 10, -4],\n [0, 3, 0, 3, -7]]\nB =\n[[-3, 8, -4, 1, -1, 10],\n [-8, 9, -2, 6, 7, -9],\n [10, -3, -2, -4, 8, 2],\n [1, -2, 2, -9, -8, -2],\n [10, -1, -2, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -6, -1, -10, -10],\n [-4, -4, 10, 6, -4],\n [-10, -5, -3, -10, -5],\n [5, -2, -5, -1, -8],\n [-1, -5, 10, 0, 1],\n [-1, 10, -10, 0, 10]]\nB =\n[[8, -6, -5, -9],\n [9, -8, 3, 7],\n [-1, -3, 8, 9],\n [-7, 5, -9, 0],\n [10, 9, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-4, 9, 6, 1, -8, 0],\n [10, -1, 1, 8, -2, 4],\n [8, -3, 4, 9, -3, -5],\n [0, 2, 7, 5, -10, 5]]\nB =\n[[0, 7, 9, 0],\n [-9, -6, -3, 10],\n [-3, -10, -3, 5],\n [-2, 7, 10, 9],\n [-7, 7, -1, 6],\n [10, -3, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, 10, 3, -1],\n [10, -1, -7, 6],\n [-2, 6, -2, 1],\n [-4, 1, 9, 10],\n [-5, -3, -1, 5]]\nB =\n[[1, -1, 6, 7],\n [1, 8, 1, -6],\n [-9, -1, 1, 9],\n [9, -3, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[8, 5, 4, 10, -10],\n [-8, 10, 7, -6, 4],\n [4, 0, -3, 10, -7],\n [-10, -2, -6, 7, -8],\n [8, -9, -2, -7, 9],\n [-9, -2, -4, 8, -10]]\nB =\n[[-7, -4, -3, -8, -8, -8],\n [8, 3, 10, -10, 5, -10],\n [0, 0, -6, 2, 10, 4],\n [-6, 10, -7, 1, 10, 8],\n [8, -4, 6, -3, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 5, -7, -10, 9],\n [-1, 8, -1, -2, -9],\n [8, -5, 5, -10, 4],\n [5, -2, 7, -6, 7]]\nB =\n[[-10, -10, 3, -5, 1, -1],\n [-1, 0, -2, -6, -9, -1],\n [1, 2, 5, -10, 0, -9],\n [-10, -6, -3, -7, 1, 0],\n [3, 6, 7, -7, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, 3, 2, -6],\n [-8, 7, -3, -7],\n [7, 9, 7, -6],\n [0, 8, -10, 5]]\nB =\n[[-1, 5, 3, 9, -4],\n [1, -6, -1, 0, -10],\n [6, 7, 5, -4, 2],\n [0, 5, -3, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 0, -3, 2, 7],\n [5, -10, 1, -9, -10],\n [-1, 6, 6, 10, 5],\n [-2, 4, -10, 10, 10],\n [-10, 9, 6, -7, -7]]\nB =\n[[10, 0, -5, -10, 5, -9],\n [4, -5, -7, 2, -8, 9],\n [1, 7, -3, 8, -1, -1],\n [-8, -5, 5, -10, 7, 3],\n [-9, -6, -6, -8, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[7, 2, -9, 0, -5, -9],\n [-3, -8, 6, 3, -4, -6],\n [2, -1, 1, -10, -9, -8],\n [4, 2, -7, 3, 8, 9]]\nB =\n[[1, -1, 6, -8],\n [-3, 4, 2, -9],\n [-7, 9, -10, 10],\n [6, -1, 4, 3],\n [0, -7, 8, 0],\n [-7, 3, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, -2, -5, 9],\n [-5, 9, 5, 1, 9],\n [-8, 5, -9, 2, -6],\n [6, -4, -5, -10, -7],\n [-7, -9, -7, 10, -10],\n [-1, -5, 1, -2, 8]]\nB =\n[[-5, 10, -5, 7, 5],\n [4, 10, 8, -9, -8],\n [4, -6, -3, 5, 0],\n [1, -5, 4, 4, -7],\n [7, -5, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-7, -9, -10, -9],\n [-3, 6, 0, 3],\n [9, 9, -9, 3],\n [4, -7, 1, -5],\n [-1, -3, 4, -1],\n [9, 3, 3, -2]]\nB =\n[[-2, -6, 0, 10, -9, -4],\n [-6, 5, 4, 9, -7, -2],\n [1, 0, 3, 2, 9, -4],\n [7, -3, -8, 9, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[4, -5, -5, -5, -4],\n [1, 6, -4, -6, 10],\n [1, 3, -4, -10, -8],\n [0, 10, -2, -1, 0]]\nB =\n[[2, 5, 0, -4, 1],\n [8, 0, 1, -1, -10],\n [-9, -6, -9, 7, 3],\n [-2, -4, -5, 2, -2],\n [-10, 7, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 6, 6],\n [6, 4, 1, -8],\n [2, 8, -3, -10],\n [1, -8, -3, -9],\n [7, 3, 3, -6]]\nB =\n[[-10, -1, -3, -3, 1, 4],\n [-8, -7, -4, 10, -9, 4],\n [-6, 6, 0, -7, 9, -6],\n [-3, -5, -2, -9, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1721", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 7, -4, -8, -1],\n [10, -6, -8, -7, 2],\n [4, 0, 0, 10, 1],\n [-8, 7, 7, -4, -3],\n [-5, -3, 8, 7, 2]]\nB =\n[[5, -3, 4, -8],\n [-1, 1, -3, 6],\n [-6, -7, -8, -4],\n [-3, -8, 2, 3],\n [9, 8, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -6, -3],\n [-9, 9, -2, 9],\n [0, -3, 10, -6],\n [-3, -10, 1, 10]]\nB =\n[[4, -10, 4, -6, 6, 1],\n [-4, -6, -8, -8, 2, -5],\n [-3, -5, -5, -1, 9, 7],\n [-4, 10, -7, 3, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 7, -6, -10],\n [3, 9, 5, 2],\n [7, 1, 6, 5],\n [2, 0, 1, 4]]\nB =\n[[-2, -1, -8, 9, 8, -10],\n [5, -3, -7, -1, 7, 2],\n [-3, -3, 2, -9, 7, 10],\n [1, 9, -4, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 8, 5, 3, 9, 10],\n [-1, 8, 7, 8, 9, -10],\n [-7, 7, 5, 7, -7, 1],\n [2, 0, 2, -10, 3, -8],\n [-1, -4, -10, 1, 1, 6]]\nB =\n[[6, 1, -3, -5, -4, -3],\n [9, 3, -4, -6, 9, -3],\n [0, 10, 3, -6, -1, 10],\n [-1, -4, 2, 10, -10, 5],\n [10, -5, 6, 2, 7, 8],\n [-3, 0, -7, -2, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "817", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -1, -3, 6],\n [-3, 7, -2, -5],\n [-1, -10, -5, 3],\n [-3, 5, -2, -3],\n [2, 5, -6, 10]]\nB =\n[[-7, 7, 3, -3, -8, 3],\n [3, -7, 0, -8, -8, 5],\n [4, 4, 0, 4, -9, -5],\n [6, 5, -4, -6, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -8, 5, 0],\n [-3, 0, -6, -7],\n [8, 3, -10, 8],\n [3, -5, -5, -6]]\nB =\n[[2, -6, -4, -9, 8],\n [2, 1, -2, 1, 10],\n [-7, -2, 8, -4, -10],\n [-10, 0, 5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1369", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-6, -1, 8, -5, -9],\n [-7, 4, -1, 7, -8],\n [3, 3, 5, 6, -9],\n [5, 5, -9, -3, 6]]\nB =\n[[8, 5, -3, -9, -7],\n [-1, 6, -5, -10, 1],\n [1, 0, 10, 2, -5],\n [-2, -6, 7, -7, 1],\n [6, 2, 3, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 4, -8, -9],\n [-7, 2, 10, 4],\n [-7, 5, -9, -6],\n [2, 4, 4, 10],\n [-9, -3, 5, 3],\n [-8, 10, 9, -10]]\nB =\n[[2, 7, -6, -4, 8],\n [6, 8, -1, -7, -2],\n [-1, -7, 7, -9, 6],\n [-4, -9, 9, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 8, -1, 8, -7],\n [3, -4, -4, 1, 0],\n [-4, -5, 7, -4, -10],\n [-3, -10, 3, 10, -3]]\nB =\n[[-8, -6, 1, 3, -2],\n [4, 1, 3, -3, -2],\n [2, 4, 6, -9, -3],\n [3, -10, 2, 6, 5],\n [10, 4, 4, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "955", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[1, -1, 0, 5, -2, 0],\n [-6, -6, 0, 5, 10, -6],\n [3, -2, 9, 8, 1, 10],\n [-1, 3, 8, 7, 7, -6],\n [1, -9, -8, 7, -7, -2],\n [-4, -10, -7, 9, 10, 2]]\nB =\n[[10, -3, -7, 3, -2, -9],\n [5, -2, -10, 4, -10, 10],\n [10, 6, -7, 6, 1, -8],\n [2, 10, 8, -10, 10, -9],\n [1, 7, -6, -9, -3, -5],\n [6, 10, -8, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-9, -7, 7, -5, -3],\n [-8, 8, 5, 8, 4],\n [1, -9, -9, 4, 3],\n [10, 3, -3, -6, 8]]\nB =\n[[-5, -1, 1, 3],\n [-7, 1, -1, 1],\n [-9, 2, -7, 10],\n [2, -10, 3, -4],\n [2, -7, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 8, 1, -7],\n [1, 0, -2, 3],\n [-8, 0, 5, 8],\n [-2, -9, -9, 2],\n [-10, -7, 3, 8],\n [1, 3, -3, -6]]\nB =\n[[-9, -8, -10, -4, -2],\n [-6, -10, 2, -7, 6],\n [-9, -9, 2, -3, -5],\n [5, 7, -10, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "657", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -2, 7, 10, 3, -7],\n [10, -5, -1, -6, -7, 2],\n [-1, -10, 7, -8, 1, -2],\n [9, -10, -2, -7, -9, 8],\n [-6, 6, -4, -3, -3, -6],\n [-9, -7, 7, -7, -6, 6]]\nB =\n[[-1, 1, 10, 9, -10],\n [5, 8, -8, -10, 10],\n [8, -3, 4, 5, 0],\n [-8, 7, -6, -8, -9],\n [3, 4, -8, 4, 7],\n [-3, 10, 5, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-10, 10, 2, -2, 5, 3],\n [10, -1, 1, 2, 0, 10],\n [1, -6, -2, 7, -10, 4],\n [0, -6, -1, -8, 3, -2]]\nB =\n[[2, -3, 2, 7],\n [1, -9, -3, -8],\n [-8, -2, -4, 6],\n [7, -2, 10, 8],\n [9, 2, 7, 1],\n [-9, -5, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -1, -2, -4, 8],\n [-1, 9, 1, 6, -1, 3],\n [6, -8, 6, 2, -10, -10],\n [-2, 2, 3, -10, 8, 9],\n [-3, -7, 8, 8, -7, 8],\n [-9, -9, -4, -8, 7, 10]]\nB =\n[[1, 0, -5, 8],\n [4, 8, -1, 2],\n [-8, -2, 4, -8],\n [5, 7, -9, 8],\n [9, 1, -9, 7],\n [-3, -10, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -2, 2, 8],\n [-9, 7, 4, 0],\n [-5, -9, -2, 10],\n [-3, 6, -4, -6],\n [1, 3, 7, -7],\n [3, -7, 4, 6]]\nB =\n[[6, 10, 9, -1, -7],\n [1, -8, -2, -3, 8],\n [1, -10, -6, 5, 9],\n [-1, 7, 2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 5, 5, 5],\n [3, -4, -5, -7],\n [-6, 9, 5, -1],\n [2, 2, 9, -2]]\nB =\n[[-5, 1, -1, -4, 8],\n [3, 9, -3, 10, 5],\n [-8, 6, -7, 8, 1],\n [-8, 2, -10, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1506", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 2, -3, 2, 3, -4],\n [3, -8, 2, -5, -6, -2],\n [7, 5, -10, 0, 1, 3],\n [-8, -10, -8, -6, -10, 9],\n [9, 5, -7, 2, -3, -7]]\nB =\n[[3, -1, -5, 0, 1, 8],\n [0, -2, -8, 5, 1, 5],\n [-9, 7, -5, 8, -1, -9],\n [8, 7, 0, 3, 6, -10],\n [8, 0, -4, 9, 4, 3],\n [0, -10, 2, 6, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, 6, 8, -6, 0],\n [3, -8, 0, 2, 6, -8],\n [1, -5, 9, -3, 7, 9],\n [-10, 4, 8, 4, 2, -2]]\nB =\n[[-4, -4, 8, 2, -9],\n [-7, 7, 1, -7, 6],\n [10, -2, 5, -3, -2],\n [0, 10, -1, 1, 2],\n [-1, -9, 7, -3, -6],\n [0, 9, -2, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 4, -4, -6, -3, 6],\n [5, -7, 4, -5, 2, -9],\n [-9, -8, -1, 0, 5, -6],\n [10, -7, 3, -1, 8, 6],\n [0, -3, -10, 4, -7, -3],\n [-1, 1, 10, 10, 6, -10]]\nB =\n[[3, 9, -1, 5],\n [7, 7, 8, -5],\n [-4, -3, 5, -7],\n [3, -5, 9, -10],\n [-5, -1, -2, 0],\n [-3, -7, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, 2, -8, -6, 1, 4],\n [3, 8, 0, -5, -5, 0],\n [8, 4, -9, -3, 9, 10],\n [1, 1, 6, -4, -10, 7]]\nB =\n[[8, -6, 3, 0],\n [4, -10, -3, -8],\n [4, 5, -9, -9],\n [7, -6, 8, -2],\n [6, 9, 2, 0],\n [7, -9, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, 2, 1, 1, -4],\n [-10, 1, -9, -6, 7, -6],\n [-10, 1, 8, 2, 10, 7],\n [-1, -1, 8, -5, -5, 4],\n [9, -6, -9, -9, 0, 1]]\nB =\n[[5, 3, 9, -1, 1],\n [4, 8, 3, 1, -9],\n [6, 8, -4, 3, 7],\n [6, 10, -3, 0, -10],\n [8, 0, 6, 9, 10],\n [0, -8, 6, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 5, -4, 6, -4, 3],\n [4, -8, 6, 8, 10, -6],\n [10, 9, 9, -9, 4, -7],\n [2, 10, 0, -4, -10, 8]]\nB =\n[[-4, -5, -6, -2, 3],\n [-9, -10, 2, -10, 0],\n [8, 10, 2, 8, -2],\n [-5, -2, 0, -6, -9],\n [-6, 0, 6, 4, -1],\n [-4, 0, -4, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -8, -10, 7, -1],\n [-6, 3, -5, 2, 9, -9],\n [-4, 1, 5, -2, 10, 8],\n [4, -9, 7, -6, 8, 4]]\nB =\n[[-7, 2, -2, 7, -2],\n [-10, -2, -6, 8, 4],\n [-5, 10, 4, -9, 1],\n [9, 9, 2, 2, -1],\n [6, 8, 7, 8, 2],\n [-9, 6, -2, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "747", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 0, 7, 6, -6],\n [-6, -6, -8, -2, -9],\n [7, 4, 8, 2, 7],\n [9, -8, 9, -1, -7]]\nB =\n[[4, -3, -5, 4, -6, -7],\n [3, 6, 1, -6, -9, 0],\n [6, 1, -8, 2, 8, 2],\n [10, 3, -4, -6, 4, 0],\n [-5, 4, -9, -9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -3, -5, -4],\n [7, 6, -1, 1],\n [10, -2, 4, -5],\n [10, 2, 6, 2],\n [-10, 2, -5, 10],\n [2, -4, -5, -10]]\nB =\n[[0, -3, -9, 3, 1],\n [-4, 10, -9, -8, 9],\n [-4, 6, -7, -8, 9],\n [2, 0, 10, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -8, 2, 3],\n [-10, 0, -1, 3],\n [-1, -3, -10, -10],\n [10, -4, 8, -6],\n [8, -8, 1, 8],\n [-6, 0, 0, 8]]\nB =\n[[0, 9, 5, -1],\n [-3, 4, 5, 10],\n [-4, -6, 10, 3],\n [2, -1, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-329", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[0, 5, 1, -8, 9, -3],\n [-5, -5, 1, -9, -5, 9],\n [5, 8, 5, 0, -9, 8],\n [-4, 4, 7, -7, 1, -10],\n [9, 2, 8, -1, 8, 0],\n [-8, -2, 10, 9, 1, 5]]\nB =\n[[-8, 6, 7, -8],\n [-6, -8, -6, -2],\n [0, -1, 1, 1],\n [-9, 0, -9, -7],\n [6, 0, 7, 5],\n [-8, -7, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 10, 2, -7, 2, 1],\n [2, 3, 5, 4, 4, 5],\n [2, -7, -2, 7, -2, -9],\n [-7, -3, -4, -5, 10, 1],\n [5, -4, 10, 2, -6, 3]]\nB =\n[[-6, -1, -10, 8, -3],\n [3, 8, 9, -6, 1],\n [-7, 8, 4, 8, 7],\n [8, 6, 7, -7, 0],\n [5, 2, -10, 1, -10],\n [-2, -8, 2, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -2, -9, 1, 7],\n [5, -8, -4, 4, -3],\n [3, -8, 3, -3, 5],\n [1, 4, -7, -7, 2],\n [-10, -10, -7, 7, 0]]\nB =\n[[4, -6, -7, -5, -6, 3],\n [3, -4, -2, 2, -3, 4],\n [-2, -5, 7, -4, 2, 4],\n [-10, 4, 3, 1, -3, 0],\n [1, 6, -10, 0, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, -4, 10, -5],\n [7, 6, -2, -1, 9],\n [2, -10, 1, -9, 7],\n [-9, -10, -1, -4, 0],\n [-7, 2, 8, -8, 0],\n [-8, -8, -3, 1, -10]]\nB =\n[[6, -3, 6, -10, 1],\n [-8, -8, -3, -10, -8],\n [9, 10, 2, -7, -1],\n [-2, -6, -10, 9, -5],\n [5, 6, 0, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "674", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 2, -8, 7, 10],\n [-6, -6, -6, -10, -8],\n [10, 10, 0, 2, 3],\n [7, 10, -5, 8, -10],\n [-2, 3, -6, -10, 10],\n [-1, -4, -10, 5, 9]]\nB =\n[[-9, -6, 1, 7, -1],\n [4, -4, -3, 1, -9],\n [10, 2, -6, 1, 0],\n [0, 0, 1, 2, -10],\n [10, -9, -2, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2358", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 10, 2, 10, 4, -1],\n [-1, 0, -5, -8, 1, -10],\n [0, -4, 0, 2, -10, -8],\n [-8, 3, -6, -2, 2, 2]]\nB =\n[[-2, -4, 6, 8, -7, -5],\n [7, -3, 7, -1, 3, 9],\n [-8, -3, -6, -6, -6, -1],\n [1, -2, 7, 4, 8, 7],\n [10, -10, -7, -4, 3, 5],\n [8, 10, 0, 9, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-4, 2, 3, -4],\n [-7, 0, -5, -2],\n [-1, 5, 3, 3],\n [2, -8, -8, 3]]\nB =\n[[-1, 3, 8, -1, 8, 8],\n [-5, -9, -4, 5, 1, -9],\n [-7, -8, 6, -2, 7, 6],\n [4, 6, 6, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 6, 8, -9, 6, 6],\n [-9, -8, 10, 8, 6, 10],\n [-6, 0, -4, 6, 0, -6],\n [-8, -9, 7, 7, 2, 9],\n [-9, 7, -2, -9, -7, 8]]\nB =\n[[-2, 1, 0, -4],\n [6, -10, 4, 6],\n [5, 10, 7, 0],\n [-1, -1, -1, -4],\n [-6, -6, 5, 8],\n [-8, 0, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 3, 3, -1, 1],\n [-9, 4, 7, 10, -1],\n [10, -8, 6, 8, 8],\n [-3, -10, -5, -10, 10],\n [8, 5, 7, -1, -2]]\nB =\n[[0, 8, 2, -9],\n [-3, 3, 10, 7],\n [-6, 2, -6, 5],\n [-4, -4, 1, -3],\n [-8, 2, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -5, 7, -8],\n [-3, -9, 10, -3],\n [8, 10, 8, 5],\n [-1, 5, -3, 0]]\nB =\n[[-3, 6, 0, -4],\n [5, -8, 2, 10],\n [-8, -8, 3, -9],\n [1, -3, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -2, -1, -4],\n [-4, 0, -5, -5],\n [-5, 4, -7, 7],\n [-5, -5, -1, 4],\n [5, -5, 7, 4],\n [4, -3, 8, -9]]\nB =\n[[-1, 6, 2, -3, -5, -3],\n [-4, -3, 9, -2, 3, 2],\n [-10, 1, 3, 6, -5, 9],\n [2, 7, -6, 3, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 9, 10, 7, -2, -2],\n [-10, 5, -5, 7, -7, 3],\n [-3, 7, 10, 1, 2, 5],\n [10, -10, -3, 8, 3, 1],\n [-10, 7, -6, 3, -3, -8],\n [3, -8, 6, 2, -1, -9]]\nB =\n[[-9, 1, 9, 8],\n [1, 1, 0, 5],\n [0, -8, 9, 4],\n [-7, -10, -6, 0],\n [-9, 8, 6, -6],\n [-9, -5, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-689", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[3, -2, -6, -8],\n [1, -2, -3, 5],\n [-8, 7, -8, -5],\n [-10, -8, -6, -9]]\nB =\n[[8, 6, -6, 2, -4, -1],\n [-9, -2, -2, -9, 3, -3],\n [9, -10, 8, -7, 5, 1],\n [-6, 1, 6, 2, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-5, -3, 5, 3],\n [-6, -9, -7, 2],\n [-10, -7, 5, -10],\n [9, 10, 7, -1],\n [-9, 3, 7, 4]]\nB =\n[[-7, -7, 2, -5, 1, 2],\n [7, -2, -6, -9, -7, 3],\n [3, -10, 0, -8, 10, -7],\n [-9, 8, -5, -4, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -10, 3, -9, 0],\n [1, -9, 7, -4, 5],\n [-8, -8, -2, -2, 2],\n [1, 8, 9, -9, 5],\n [-4, 0, 8, -7, -3]]\nB =\n[[9, -7, 3, 3, 3],\n [10, 9, -7, -3, 6],\n [1, -6, 4, 6, -5],\n [-9, 9, -10, 2, -2],\n [-9, 5, 2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, 1, -4, -5, 8],\n [3, 8, -7, 1, 3, 10],\n [10, 8, 0, -3, -10, 5],\n [7, 5, 7, 4, -7, -5],\n [10, 9, -9, -4, 7, 7],\n [3, 7, 5, 6, 3, -8]]\nB =\n[[9, 10, 8, 1],\n [-2, -6, 6, -6],\n [-3, -3, -2, -2],\n [2, -7, 3, 9],\n [7, -9, -8, -10],\n [-8, -7, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -9, -2],\n [10, -9, 0, -9],\n [-10, -3, -4, -2],\n [5, -10, 9, -9],\n [0, -9, 7, -7]]\nB =\n[[-6, -3, -1, -1, -4, 3],\n [-1, -2, -1, -5, -7, 8],\n [-1, -10, 4, 0, -8, 5],\n [10, -4, 8, 6, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -5, 0, -4, -2, 0],\n [7, -5, 2, 10, 0, -6],\n [3, -4, -5, 3, -5, 1],\n [0, -5, 0, 1, -6, -7],\n [-5, 4, -6, -9, 1, 8]]\nB =\n[[-6, -6, -8, -4],\n [-4, -8, 1, 1],\n [-1, 4, 2, -9],\n [8, -9, 10, -8],\n [0, 0, -9, -10],\n [7, 4, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1199", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 1, 4, 0, 1, 7],\n [2, -6, -5, -7, -8, -9],\n [-8, -7, 8, -7, 2, 4],\n [-5, 9, 4, -7, -4, 0],\n [-9, -7, 1, -9, 10, 0],\n [5, -8, -6, -3, -4, 10]]\nB =\n[[0, 7, 2, -6],\n [-8, -4, 8, -4],\n [-3, -6, -2, -9],\n [-8, -10, 0, 4],\n [1, -2, 3, 8],\n [3, 1, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[4, 4, 4, 7, 3, 0],\n [5, -1, 6, 10, 1, -2],\n [9, -1, -5, 8, 9, 5],\n [9, -5, -6, 2, 4, 10]]\nB =\n[[-9, -1, 2, -9, -1, -10],\n [-7, -4, -8, 8, 5, -2],\n [9, -9, 8, 1, 10, 4],\n [9, -10, -6, 4, 0, -1],\n [2, -3, 9, -1, 0, -10],\n [-5, -1, 2, -9, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -5, -4, 7],\n [-6, -8, -10, 10],\n [3, -1, -2, 4],\n [0, 7, 1, -8],\n [4, 1, 8, 0],\n [10, -5, -4, -3]]\nB =\n[[-10, 9, 8, -5, 9],\n [2, 4, 7, -8, 5],\n [6, 10, 4, -4, 8],\n [9, 10, -6, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1790", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-9, 2, 9, 10, 0, -4],\n [-9, 8, 9, -8, 3, -10],\n [-5, -9, 9, -2, -5, -7],\n [2, -7, -8, -5, 5, 3],\n [-7, 5, -7, -9, 5, 8],\n [9, -1, -3, 8, -6, 4]]\nB =\n[[-9, -2, -6, 6, 10, 3],\n [7, -4, 1, 2, -9, -3],\n [3, 7, -8, 9, 7, -8],\n [-10, 9, -2, -6, 1, -4],\n [6, 8, -4, -4, 5, -5],\n [3, -5, -10, -9, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 4, 3, 4],\n [1, -8, -1, 8],\n [-10, 8, 9, 7],\n [-8, -2, -8, 7],\n [6, -3, 7, -4]]\nB =\n[[4, 7, -8, 0],\n [8, -4, -8, 4],\n [2, 10, 2, -6],\n [5, -8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-347", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 3, 8, 9, 2, 9],\n [10, -5, -10, -4, -9, -10],\n [4, -2, -2, -3, 0, 1],\n [-4, 6, -1, 3, -2, -3]]\nB =\n[[3, 10, 1, -2],\n [-6, 4, 9, -8],\n [9, -7, 2, -7],\n [4, -9, -10, 6],\n [-1, 10, 7, -6],\n [-10, -9, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "957", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 9, 4, 8, -2],\n [-4, 6, 1, 10, 1],\n [0, 10, 5, -9, -7],\n [-4, -7, -2, 1, -9],\n [-3, -1, 7, 3, 10]]\nB =\n[[3, 8, -9, -10],\n [-6, -1, -7, 5],\n [-9, -7, 8, 5],\n [-5, 4, 9, 10],\n [-8, -7, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -7, -7, -8, 10],\n [-9, 5, 1, -7, 9],\n [-9, 4, 7, 5, -5],\n [-6, 7, 7, 7, -4]]\nB =\n[[-6, -10, -3, -6, -9, -5],\n [4, -3, -4, 2, -8, 0],\n [-5, -7, -1, -6, 10, -7],\n [-1, -2, -6, -6, -3, -6],\n [-5, -6, 7, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 4, 0, -7],\n [-7, 3, -4, -7],\n [3, 3, 8, -3],\n [-7, 1, 6, -8],\n [-2, -6, -5, -10],\n [7, 5, 2, -9]]\nB =\n[[0, -10, 0, 5, 3],\n [7, -6, -7, 5, 8],\n [8, -9, -10, -6, 6],\n [-8, 10, 5, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-581", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -5, 6, 8],\n [-3, -9, -2, 3],\n [1, 1, -8, -2],\n [-7, 10, -6, 10],\n [6, 8, -5, -7],\n [1, 7, -10, -2]]\nB =\n[[-3, 6, 5, 5],\n [6, -10, 10, 7],\n [-10, -9, -8, 8],\n [-7, -2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[10, 2, -5, -7],\n [7, 6, 0, 6],\n [-7, 1, 10, 4],\n [0, 2, -4, 6],\n [6, -10, 9, -5]]\nB =\n[[7, 7, 1, -10],\n [1, 1, -9, -8],\n [8, 7, -10, -1],\n [6, 1, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -9, -9, 10, -8, 4],\n [6, 8, -9, 6, 9, 1],\n [-9, 1, -6, 3, -10, 0],\n [-6, 3, 3, -6, -4, -2],\n [-4, -3, -1, 3, 7, -6]]\nB =\n[[10, 2, -5, 3],\n [-8, 5, -6, -4],\n [3, -7, 1, 1],\n [3, -4, 5, -8],\n [-5, -5, 6, 5],\n [10, 5, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-2, -2, -9, -2],\n [-1, 4, -10, 8],\n [-10, -9, 10, -4],\n [4, 2, 5, 7],\n [5, 6, 4, 8]]\nB =\n[[-7, 6, -1, 7, -3, 4],\n [-6, -2, -5, 6, -8, 6],\n [-9, 9, -9, -1, -7, -10],\n [1, -5, -1, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -8, 6, 2, -5, -5],\n [5, 2, -2, -10, 4, 3],\n [8, 4, -2, -6, -3, -1],\n [-2, -9, -8, 2, 8, 3]]\nB =\n[[2, 4, 0, -2, -4],\n [5, -7, -3, -2, 10],\n [-6, 7, 3, -1, -10],\n [-4, -7, 8, -6, -3],\n [2, 6, 2, -10, -9],\n [3, -7, -10, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 5, 0, -6, 4],\n [3, -1, 8, 10, 3],\n [10, -3, -4, -4, 1],\n [-3, -2, 9, 5, -2],\n [-6, 5, -3, 5, 6],\n [10, 7, -10, 7, -6]]\nB =\n[[6, 6, -6, -5, 2, -5],\n [-6, -2, -1, 4, -5, 7],\n [-5, 7, 4, 1, -2, 8],\n [-3, 7, 6, 5, -4, 7],\n [1, 4, 9, 1, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[2, -4, -5, -2, 7],\n [-7, -3, 5, -1, 4],\n [7, 6, -4, -6, 8],\n [-10, 5, 3, -3, -6],\n [9, -3, -8, 4, 5],\n [-6, 7, 7, 1, 1]]\nB =\n[[-10, -5, 5, 3, 5],\n [-7, 5, 4, -8, -3],\n [7, -6, 0, -3, -7],\n [-6, -5, 2, -9, -1],\n [-5, -2, -2, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 8, 7, 1, 3, 6],\n [-5, -10, -1, -1, 0, -1],\n [2, -7, 4, 1, 3, 2],\n [3, 8, -7, -3, -5, -3],\n [-6, -5, -3, 10, -4, -6],\n [10, -3, -2, 2, -2, 10]]\nB =\n[[-3, -2, 8, 5, -4],\n [5, 7, 1, -4, -1],\n [9, 3, -4, -7, -7],\n [5, 4, -1, 4, 8],\n [-1, -2, 7, 7, 6],\n [-6, 9, 6, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -4, 8, -4, -9, 5],\n [-6, -8, 7, 4, -9, -3],\n [3, -9, 5, -5, -4, 7],\n [2, 4, 9, -3, 9, -3]]\nB =\n[[-7, -4, -10, -1, 10, -2],\n [-4, 10, 8, -4, -8, -10],\n [6, 7, -6, -3, -10, 0],\n [1, 10, 7, 10, 7, -4],\n [-8, 4, 5, 5, 8, 3],\n [-6, -7, -1, -4, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-505", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 9, -6, -2, 2, -5],\n [2, 4, 0, -2, -9, 5],\n [6, 7, -6, -3, 5, 2],\n [5, -8, -6, -2, 2, -7]]\nB =\n[[4, 4, 9, 10, -3],\n [-2, 3, -8, -1, -10],\n [5, 2, -1, -3, -5],\n [5, 4, -9, -3, -9],\n [-9, -2, 5, 4, 4],\n [9, -1, 8, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 1, 9],\n [10, 8, 6, 4],\n [-1, 2, 0, 8],\n [9, -8, 6, -1],\n [6, 7, -9, -6]]\nB =\n[[8, -3, 0, 8],\n [3, 0, -5, -8],\n [-2, 7, 0, 9],\n [-1, -4, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 9, 10, -9],\n [-7, -7, -8, -3],\n [-1, 2, -7, 9],\n [-4, 7, 10, 0]]\nB =\n[[-2, 7, 0, -7, -6],\n [-4, -2, -6, -6, 2],\n [9, -2, 5, -8, 4],\n [-4, -3, 3, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1153", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -6, 0, 4, 9, -9],\n [-3, -6, 1, -10, -3, -4],\n [9, 8, 1, 6, -7, 10],\n [2, 2, 6, -1, -4, 0]]\nB =\n[[-3, -9, -2, 2, 8, 5],\n [-9, -4, 1, 5, -2, 6],\n [5, 8, 8, 10, 0, -4],\n [-6, 7, 7, 3, -10, -2],\n [-3, -10, -5, 9, 9, 1],\n [5, -7, -8, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[8, 10, 8, 4, -1],\n [-9, -3, -8, 7, -2],\n [9, 1, 0, 5, -9],\n [-5, 0, 1, 1, -1]]\nB =\n[[9, -6, -3, 6],\n [4, -2, -4, -7],\n [-6, 1, -4, 3],\n [9, -6, 9, 8],\n [1, 2, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -9, 8, -9, -1],\n [5, 7, 8, -9, -9],\n [9, 10, -3, -3, -2],\n [-7, -2, -2, -8, 7],\n [-1, -8, 5, -2, 7]]\nB =\n[[1, 9, 4, 5],\n [-10, 0, 8, -7],\n [-8, -9, 8, -9],\n [-7, 2, 10, -1],\n [6, 10, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[4, -9, 8, -9, -10],\n [0, 2, -3, -2, -8],\n [9, -10, 10, 3, -5],\n [1, -10, 0, -4, 1]]\nB =\n[[5, -10, -6, 1],\n [-8, 0, -1, 2],\n [9, -6, -4, 4],\n [1, -10, 7, 2],\n [2, -6, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, -2, 6, 4],\n [7, 3, -4, 4, -1],\n [-1, -2, -1, 4, 10],\n [7, -9, 0, 0, 0],\n [-7, -6, 4, -2, 10],\n [-6, -8, 5, 9, 4]]\nB =\n[[0, 0, 8, -2, 8],\n [5, -4, -9, 5, 0],\n [1, 7, -5, -4, -2],\n [-5, -8, 2, -1, 10],\n [4, 0, 3, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1441", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-6, 3, 9, 7],\n [2, 4, -6, 0],\n [0, -5, -8, 1],\n [-10, -9, 8, -8]]\nB =\n[[-2, -3, 10, 8, 0],\n [5, 9, -7, 1, -1],\n [-3, 4, -3, -1, -9],\n [9, -3, 9, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 1, -6, -4, -4],\n [4, 3, 7, 8, 6],\n [-5, -7, -8, 1, 3],\n [6, 0, 9, 2, -4],\n [4, -5, 1, 9, 1]]\nB =\n[[6, -3, 5, -8],\n [-2, 6, 9, 3],\n [4, 8, -10, 0],\n [-9, 6, -5, 6],\n [10, 8, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -9, 0, -2, 7, 0],\n [-7, 1, -5, 8, -6, -3],\n [1, 4, -10, -6, 2, 5],\n [-8, 6, -4, -8, -7, -2],\n [4, 1, -6, -8, 10, -6]]\nB =\n[[-6, 3, -8, 8, -3, -4],\n [2, 8, -2, 2, 1, -1],\n [-3, 0, -7, -4, -1, 0],\n [10, -6, -9, -9, 9, 7],\n [-7, -8, 5, -9, -9, -2],\n [9, -3, -2, 9, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2377", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 5, -7, 3],\n [8, -9, 3, -9],\n [7, -5, 3, -3],\n [2, 5, 6, -3],\n [-3, -3, -4, 0],\n [-10, 8, 1, -7]]\nB =\n[[1, -7, -7, 3, 8],\n [1, 8, -6, -10, -3],\n [2, 8, 3, 0, 7],\n [4, 6, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, -6, 5, -9],\n [-6, 1, -10, 4, 4],\n [-2, 0, -5, 2, 6],\n [-2, 4, 9, -5, -1],\n [-6, 0, 3, -3, 10],\n [-7, 3, 3, -2, -8]]\nB =\n[[9, 4, -10, 2],\n [-3, 3, 3, 6],\n [0, 4, -7, -4],\n [3, -4, 0, -8],\n [-10, 1, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 3, -4, -9, -5, 2],\n [-2, -8, -4, 10, 8, -2],\n [10, 10, 5, -2, -4, 1],\n [8, 6, -4, 6, 9, 8]]\nB =\n[[-4, -2, -8, -9],\n [-5, -9, 4, 4],\n [7, -9, -6, -6],\n [1, 4, 5, 0],\n [3, 7, -4, 9],\n [1, 2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -3, 5, -1, 0],\n [-3, -3, 8, -4, -1],\n [-6, -3, -4, -2, -3],\n [-9, 5, 1, -2, 10]]\nB =\n[[6, -8, -4, -2, 3, 2],\n [-4, -6, 7, -2, -4, 4],\n [-7, 8, -5, -10, -4, 2],\n [7, -8, 2, -9, 1, -2],\n [-5, 3, -9, -10, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[7, 3, 1, 6],\n [6, 0, -6, -1],\n [-6, -4, 3, 2],\n [2, -2, -10, -9]]\nB =\n[[-1, 2, -10, -6, -8],\n [-3, 1, 2, 4, 7],\n [9, -5, 2, 3, -8],\n [6, 0, -9, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-6, -3, -4, 0],\n [-7, -10, -7, 7],\n [-4, -4, -9, 1],\n [7, -2, -10, 8],\n [1, 7, 5, -3],\n [0, 4, 1, 10]]\nB =\n[[3, -8, 10, -8],\n [-2, 9, -4, -10],\n [7, -4, 8, 6],\n [4, 9, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -3, 9, 3],\n [-7, 9, 0, -1],\n [3, -1, -4, 0],\n [-8, 6, 4, 6],\n [-9, -3, 4, -3],\n [-8, 4, 5, -3]]\nB =\n[[-5, 8, 2, 9, 3, -2],\n [10, 3, -7, -10, -2, -2],\n [0, -6, -4, 10, 3, -2],\n [7, 3, 3, 6, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-540", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -8, -10, -4, -5, -2],\n [9, -8, -7, -5, 1, -4],\n [0, -1, 3, -10, 7, -7],\n [-10, -2, 3, -8, 9, -1],\n [-8, 10, -10, -8, -2, 2]]\nB =\n[[4, -6, -1, -2, 0, 9],\n [4, -6, 5, -10, 10, 7],\n [9, -9, -3, -9, -3, -4],\n [-6, -8, 6, -5, -7, 9],\n [1, 2, -5, -8, 4, 5],\n [6, 3, 5, -8, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2324", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -8, -5, 4],\n [-6, -7, 1, -8],\n [10, -6, 9, 6],\n [3, -7, 8, -6],\n [8, -10, 10, 9],\n [7, 8, -2, 7]]\nB =\n[[4, 9, -1, 9, -10],\n [2, 6, 2, -5, 6],\n [10, -9, -3, -6, 2],\n [-4, -8, 8, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 6, 7, 3, 7, 3],\n [-7, 5, -1, 0, 9, -6],\n [5, 7, 10, -10, 10, 7],\n [-5, 3, -3, 6, -8, 9],\n [6, 0, -5, -10, -7, -6]]\nB =\n[[-1, 4, 4, -9, -3],\n [8, 6, -10, 5, 9],\n [-1, -10, 5, 8, -8],\n [9, 7, -8, -4, 2],\n [2, 1, -10, 8, 8],\n [-1, 0, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -6, -9, -10, 9, 0],\n [-9, 7, 5, -7, 10, 3],\n [10, 6, 2, 0, -10, -3],\n [2, -10, 7, 8, -6, 0]]\nB =\n[[-1, 0, 6, -6, 10],\n [-1, -10, 0, 2, -9],\n [5, 5, 1, -2, -8],\n [3, -2, 7, -7, 4],\n [2, 6, 4, 6, -8],\n [7, 9, 9, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1865", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 10, -3, 9, 7, -10],\n [-9, -10, -5, -9, 6, -6],\n [5, -4, -5, 6, 7, 3],\n [7, -5, 3, -1, 0, 5],\n [-10, 9, 0, -6, 8, 1]]\nB =\n[[5, -1, 6, 6],\n [7, -6, -8, 0],\n [9, -1, -3, 5],\n [4, 5, 4, -4],\n [-1, 10, 5, -1],\n [4, 1, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1581", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 9, -6, -7],\n [-10, -2, 2, 0],\n [2, 4, -5, -7],\n [-3, 1, -5, -4],\n [-2, -2, 6, 4]]\nB =\n[[3, 6, -6, -4, 9, -9],\n [-4, 2, -4, -3, -8, -7],\n [-7, -7, -7, -2, 5, -9],\n [-6, -3, -9, 1, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -1, 6, 9, 7, 0],\n [-1, -3, -3, 9, -4, -8],\n [1, 4, 1, -4, -3, 6],\n [4, -6, 6, 6, 5, 2],\n [2, 6, 0, 8, 1, 6],\n [-8, -8, 3, 10, 0, -8]]\nB =\n[[-2, -8, 3, 9, -2],\n [1, -3, -2, 0, 3],\n [0, -2, 8, 7, 6],\n [6, 8, -4, 3, -9],\n [9, 2, 1, -9, -8],\n [6, 6, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 2, 5, 1, -2, 5],\n [-7, 1, -6, 1, 2, 8],\n [10, -7, 4, -6, -4, 0],\n [2, -6, 7, -5, -7, 2]]\nB =\n[[-2, -8, 8, 6],\n [-2, -4, 2, -8],\n [-6, 4, 3, 10],\n [-2, -1, -6, -4],\n [7, 6, -4, -8],\n [3, -1, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 0, -9, -5],\n [2, -5, 6, -2],\n [4, 3, 7, -3],\n [-9, -10, -9, -2],\n [3, -3, -10, 10],\n [-9, -3, -5, 7]]\nB =\n[[6, 1, -1, -2, 3, -4],\n [-3, 2, 8, 8, -6, 9],\n [-3, 9, 9, 1, 6, 7],\n [6, -9, 6, -2, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 1, 3, -1, -2],\n [-2, -10, 4, 4, 1],\n [8, -10, 0, -2, 1],\n [-3, -1, -1, 3, -6]]\nB =\n[[1, 4, 6, 2],\n [1, -6, 6, 4],\n [-9, -2, 7, 7],\n [-2, -9, 6, 0],\n [-3, -7, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 6, 7, 6],\n [10, 9, -1, 1],\n [-2, 1, 5, 3],\n [6, -4, -3, -7]]\nB =\n[[10, -8, 4, 3],\n [0, -4, 8, -6],\n [-5, -8, 9, 1],\n [5, -2, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1084", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, 0, -9, -8],\n [0, 3, 0, -8, -2],\n [2, -6, -7, 9, 2],\n [1, 5, -8, 6, 0],\n [4, -2, 3, -7, 10],\n [3, 8, -2, 10, 1]]\nB =\n[[2, -10, 5, 8],\n [-8, -1, -9, 1],\n [10, -3, -10, 7],\n [5, 8, 9, 0],\n [-7, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-3, -2, -1, 6],\n [8, -5, -1, 2],\n [-1, -6, 8, 7],\n [4, -7, 3, -4],\n [-10, -4, 10, 3],\n [3, 8, 4, 1]]\nB =\n[[-8, -2, 8, 2, -10, -9],\n [10, 4, -2, -2, -6, 1],\n [-8, -9, -7, -4, -2, 4],\n [10, 10, -7, 3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 2, 4, -10, 2, 4],\n [-6, 10, 6, -8, -5, -3],\n [8, -1, 7, -5, -8, -4],\n [4, -4, -1, -10, -4, -9],\n [-10, -5, 9, 5, -2, 10],\n [3, 2, 5, 6, 9, -5]]\nB =\n[[3, 6, 1, -9, 3, -5],\n [-1, 5, 7, -2, -2, 0],\n [-5, -6, 10, 2, -10, 7],\n [5, -7, 4, 7, -4, -1],\n [-7, 0, 0, -5, -8, 1],\n [10, -6, -4, -5, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2440", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 9, 4, 4, -10, 0],\n [0, 8, -1, 4, -6, -4],\n [4, 9, 10, 0, 9, -3],\n [-7, 7, -3, 2, 7, 1],\n [-6, -2, -5, -2, -5, 8]]\nB =\n[[3, -2, 4, -1],\n [-5, 8, 4, -8],\n [4, 6, 1, 8],\n [8, 0, -2, 0],\n [0, 1, -9, 10],\n [-2, -9, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -2, -7, 10],\n [-3, -8, -10, -9],\n [-8, -6, 10, 2],\n [-3, 2, 9, -10],\n [6, -9, 7, 10]]\nB =\n[[1, 0, 2, -2],\n [-4, -3, 2, 0],\n [5, -3, -9, 0],\n [-6, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -10, 4, 0, -2, -8],\n [-3, 5, -5, 3, -6, -9],\n [1, -5, -8, -3, 7, 10],\n [-6, -2, -8, -7, 3, -9],\n [-3, -5, -10, 4, 0, -9],\n [-1, 1, -3, -5, 6, 2]]\nB =\n[[6, -3, 1, 9, -7, -10],\n [7, -4, 7, -2, -5, -7],\n [-10, -3, -7, -2, -2, -4],\n [-10, 1, -7, 9, 3, 7],\n [10, -10, -9, 7, -3, 6],\n [7, -7, 2, 9, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "738", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[6, -4, 5, 8],\n [8, -1, 9, -7],\n [4, -1, 6, 8],\n [5, 5, 3, 3],\n [1, -5, 7, 1]]\nB =\n[[9, -9, -4, -10, 9, 7],\n [-5, 3, -3, 5, -1, -1],\n [1, 6, -7, 3, 8, 3],\n [8, -8, 1, 10, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, -2, -8, -3, 5],\n [-4, -6, 8, -1, -3],\n [-7, -8, 7, -6, 3],\n [6, 5, -9, 7, -8],\n [5, 8, 4, 0, -1],\n [-2, -1, 10, 2, 7]]\nB =\n[[-3, 5, -3, -3, -10, 1],\n [4, -3, -8, -7, -2, -7],\n [10, -9, 0, 0, 2, 1],\n [-8, -4, 8, -7, -1, 9],\n [-6, -9, 7, 0, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, -2, -1, -5, 1],\n [8, 4, 8, -1, 7],\n [0, -3, -5, -2, -6],\n [-8, -8, 3, -3, -8],\n [-10, 6, 6, -4, 9]]\nB =\n[[4, 4, 5, -8],\n [5, -1, -2, 0],\n [0, 6, 10, 8],\n [-10, 10, 9, 3],\n [-4, 2, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -10, -7, 8, -4],\n [-7, -9, -6, 10, -10],\n [-6, 4, -8, -2, 5],\n [-5, 0, 4, 2, -1],\n [10, 9, -10, -6, -2],\n [-6, 0, 10, -10, -7]]\nB =\n[[10, 7, 10, 0, 2],\n [0, -7, -7, 3, 9],\n [3, -7, -6, 3, 6],\n [-1, -6, -4, 6, 3],\n [5, -9, -10, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-490", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, 6, 2, 6],\n [-9, -8, 5, 1],\n [-4, 10, -3, -9],\n [-8, 3, 8, 3]]\nB =\n[[2, 6, -7, -3, -10, 1],\n [8, -2, -3, 2, -8, 10],\n [-10, -8, 2, -1, -1, 10],\n [-5, 3, 8, -6, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -10, 6, 8],\n [5, -8, -9, 8, 10],\n [3, -5, 7, 7, 10],\n [-6, -3, 2, -2, 2]]\nB =\n[[-9, -9, -7, -2],\n [0, -10, 7, 0],\n [-2, 7, -9, 1],\n [2, -9, 1, 9],\n [3, -2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -9, 10, -5, -10],\n [8, 9, 3, -2, -9],\n [-6, -5, -10, 4, 7],\n [-7, 7, 2, 9, -3]]\nB =\n[[-9, 1, 8, 4, 1],\n [1, -2, 2, 10, 4],\n [8, -7, -3, -9, 2],\n [1, 1, -8, 2, 9],\n [-7, 8, -8, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1931", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -1, -2, 9, -1, 8],\n [0, -2, 8, -10, 4, -1],\n [-1, -4, -2, 7, -10, -9],\n [10, 0, 9, -10, 4, 5],\n [3, -5, 7, 7, -8, -9]]\nB =\n[[7, 7, -3, -10, -2],\n [4, 4, 3, 3, 5],\n [-4, 8, 2, 0, -8],\n [5, 6, 0, 5, -8],\n [-8, -10, -9, 3, -10],\n [2, -1, -2, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1736", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 8, -4, 0, -4, -4],\n [-3, 3, -10, -6, 0, 2],\n [-2, -4, -3, -9, 0, -6],\n [-8, 0, 5, -1, -5, -5],\n [4, -5, 2, -8, -3, 8]]\nB =\n[[-9, 0, 8, 9],\n [10, 8, 2, 9],\n [8, 6, 8, 0],\n [7, 8, 0, 7],\n [-8, 2, -8, -4],\n [5, 5, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-732", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 2, 5, 7, 4],\n [-9, 1, 2, -4, -3],\n [8, 8, 3, -9, -8],\n [-6, 3, -8, -9, -4],\n [4, 4, -8, 10, -7],\n [-8, 7, 7, -2, 10]]\nB =\n[[7, 5, -2, -9],\n [4, -2, 7, 8],\n [7, 0, 1, -6],\n [-8, -2, 8, 10],\n [0, 6, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -3, -3, 1],\n [1, 8, 3, 6],\n [10, 9, 1, 8],\n [5, 10, -5, 10]]\nB =\n[[-5, -5, 7, -8, 6, 7],\n [-2, -3, -6, 4, 2, -5],\n [-9, 2, -5, -5, 3, -7],\n [5, 2, 3, -1, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, -7, 8, 3],\n [-8, 2, 9, 0],\n [-7, 8, -8, 4],\n [2, -8, 5, 1],\n [9, -4, -7, -9]]\nB =\n[[-3, -3, 4, 10, 2],\n [-10, -3, 0, -10, 6],\n [-6, 4, 8, 3, -4],\n [9, 1, 1, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, 4, 10, -9, -5],\n [-4, 8, 6, 6, -9],\n [-9, -10, 9, 1, 1],\n [5, 1, 0, 3, 5],\n [-3, -9, 10, -2, 8]]\nB =\n[[-3, 8, 1, -7],\n [1, 0, -2, 9],\n [-9, -9, -10, -5],\n [6, -7, 7, 5],\n [5, 3, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1654", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 7, 3, 4, -1],\n [8, -5, 0, -9, -3, -9],\n [-6, 10, -10, 8, -6, -6],\n [9, -7, 5, 6, 4, 9]]\nB =\n[[-8, 1, -5, -2, -10, -10],\n [-2, -9, 6, 1, 2, 3],\n [-5, 4, -1, 10, -5, -10],\n [10, -7, -3, -8, 2, -10],\n [10, 1, -2, 9, 6, -10],\n [-9, 2, -6, 7, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -7, -1, 1],\n [-8, -7, 4, -10],\n [-7, 8, 10, -8],\n [-10, 4, 1, 5],\n [-1, 4, 10, -6],\n [-2, -2, -6, 3]]\nB =\n[[-3, 1, -7, 9, -5, 5],\n [-5, 9, 9, -8, -1, -5],\n [-3, -4, -7, 1, 10, 9],\n [-3, -8, -7, -8, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1561", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 0, 5, 8, 4],\n [-5, 1, -2, -3, 8],\n [-7, 0, -4, -10, -8],\n [4, -3, 5, -9, -1],\n [7, -1, -7, 1, -10]]\nB =\n[[-2, 9, 2, 10],\n [5, -2, 1, -10],\n [10, -5, -2, -7],\n [-7, 4, -7, 3],\n [-5, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 9, -6, 3, 8, -3],\n [7, 5, 7, 6, 10, -10],\n [5, -2, -2, 2, -9, -6],\n [-2, -10, -1, -3, -2, 0]]\nB =\n[[-7, 1, 5, -6, -6],\n [-3, 6, -2, 2, 5],\n [9, 0, -1, -1, 10],\n [0, 8, 3, -9, 6],\n [-7, -7, -9, -10, 8],\n [0, 2, 0, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -9, 1, -8],\n [-6, -10, 1, 10],\n [-5, 3, 0, 8],\n [-1, -3, -9, 7]]\nB =\n[[-2, -5, -2, -9, -4, 4],\n [9, 1, -6, -3, 0, 3],\n [5, -6, 4, 9, -10, 4],\n [-6, -8, 8, 6, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1531", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 9, 6, -7, 1],\n [6, -10, 5, -4, 7, 3],\n [10, -3, -1, 2, -5, 10],\n [5, -10, 4, 6, 7, -2],\n [0, 7, -6, 3, -9, -9]]\nB =\n[[-8, 4, 7, 1, 9],\n [-9, -8, 2, -3, -2],\n [1, -8, 9, 4, 0],\n [4, 8, 6, 3, 0],\n [-3, -8, -9, 8, -2],\n [-8, -2, -1, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-3, -4, -4, -3, 0],\n [-8, 10, -1, 10, 9],\n [10, -10, -3, -1, 5],\n [2, 2, 1, -6, -3],\n [-9, -10, 9, 4, 4],\n [4, 9, -4, -1, 1]]\nB =\n[[-6, -3, 4, 4, -1, 2],\n [1, -9, -5, 0, 9, -5],\n [0, -4, 4, -8, -4, -2],\n [-9, 7, 9, 3, 1, -7],\n [10, 10, 4, 7, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, -3, 4, 9, -4],\n [2, 10, -1, 1, 1, -5],\n [-7, 2, 8, -3, 1, -5],\n [0, -3, 1, 5, -9, 10],\n [-1, -4, 9, -8, -4, 1],\n [-4, -3, 6, 1, -6, 3]]\nB =\n[[10, 9, 4, 9, 4, -8],\n [3, 7, -2, -5, -9, 10],\n [-9, -2, 3, 6, -8, -8],\n [-9, 7, 10, -6, -2, -7],\n [10, -1, 4, -2, -8, 4],\n [-7, 8, 7, -9, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-940", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 2, -7, 7, -3, -4],\n [0, 2, -1, 10, -7, -7],\n [-3, -3, -10, -5, -10, -2],\n [-7, 10, 2, -5, 9, 1],\n [-1, -8, -8, 4, 7, 2]]\nB =\n[[-6, 2, -6, -6, 8],\n [-4, -7, 2, -9, -5],\n [2, 3, 7, -10, 7],\n [5, 2, -1, 0, -5],\n [5, 4, 6, 1, -10],\n [-4, 1, -10, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -3, 2, -2],\n [9, 1, 6, 10, -6],\n [5, -5, -9, 3, -8],\n [10, -3, 5, -2, -3],\n [-2, 2, -8, -1, 8]]\nB =\n[[6, 0, -8, -2, 6, 1],\n [1, 6, -4, -9, -10, -3],\n [10, 9, -7, 3, -10, 1],\n [3, 1, 3, 9, 9, 8],\n [4, 1, -9, -3, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -9, -3, 10, -1, -7],\n [10, -6, -6, -6, -7, -7],\n [6, 3, 3, 9, -8, -8],\n [10, 5, 7, 8, -4, 10],\n [-2, 7, 5, 7, 8, -9],\n [-3, 2, -3, 0, 3, 7]]\nB =\n[[-1, 7, 1, -8],\n [1, -6, 10, 3],\n [9, -6, -1, -4],\n [-2, 7, 0, -10],\n [-4, 7, 4, -9],\n [-4, -7, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1802", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -5, -5, 3],\n [-3, -1, 2, -7],\n [5, -7, 1, -3],\n [6, 10, -7, -10]]\nB =\n[[-5, -2, 7, -6, 0],\n [5, 7, 2, 1, -8],\n [-4, 6, -6, -7, 4],\n [-3, 7, -3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "958", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -1, 4, -10, -9],\n [-7, -3, -6, 1, 9],\n [8, 2, -2, 3, 7],\n [4, 5, 9, 5, 2],\n [-3, -9, 6, 6, -8]]\nB =\n[[5, -3, 6, 6],\n [7, 9, -3, -1],\n [9, -10, 10, 5],\n [1, 8, 10, 9],\n [-6, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, 2, 10, 3, -3],\n [-1, 3, -3, 0, -7, -5],\n [-3, -6, -6, 0, 5, -2],\n [0, 4, 0, -1, 6, -10],\n [-9, 6, -1, -10, -5, -9]]\nB =\n[[-9, -4, 5, 4, 10],\n [1, 7, -8, -6, 2],\n [-8, -9, 0, -1, -8],\n [-3, 7, -7, -9, 9],\n [-1, -10, -10, -5, 6],\n [-8, 4, -7, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1998", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 8, -2, 4, 5, 7],\n [7, 3, -10, -10, -2, -1],\n [8, -5, -6, 1, -10, 3],\n [-2, 0, -6, -9, 9, -2],\n [-1, -6, -6, 5, 4, -7]]\nB =\n[[-4, -10, -7, -4, 1],\n [-3, -10, 1, 4, 2],\n [8, 2, 1, 2, 9],\n [0, -4, -1, 10, -3],\n [-6, 10, 8, 3, -6],\n [-9, -9, -1, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-658", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -10, -8, 9],\n [2, 8, -8, 10],\n [-7, -6, -1, 1],\n [4, -6, -1, -10],\n [-10, -5, 6, -2]]\nB =\n[[2, -6, 6, 2],\n [-3, 9, 1, -5],\n [9, 10, 6, -5],\n [-6, -7, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, -6, -9],\n [6, -6, 0, 6],\n [-10, 3, 7, 9],\n [2, 5, 0, -3]]\nB =\n[[-1, -2, 4, -6, -2],\n [-3, 7, -6, -4, -4],\n [-4, 3, -10, -10, -6],\n [7, 9, 9, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -4, 1, -4, 2, 1],\n [6, 0, -8, 8, 3, -6],\n [-2, -7, 0, -9, -8, -2],\n [-8, 6, -3, -7, -1, -2],\n [-7, 6, 7, -10, 6, 0]]\nB =\n[[-1, -9, -5, 4, 2],\n [-7, 0, 5, 9, 9],\n [10, 1, -7, -7, -2],\n [-4, -6, 6, 4, -8],\n [2, 9, 4, 1, 4],\n [1, 10, -3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1755", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 3, 1],\n [-9, -8, -4, 8],\n [-5, 6, -3, -2],\n [4, -10, 0, 4],\n [0, 1, 2, -10],\n [7, 8, -9, 6]]\nB =\n[[7, -2, -7, 0],\n [5, 10, -5, 1],\n [10, -7, 9, -9],\n [0, 5, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1409", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -3, 8],\n [1, 9, -9, 3],\n [6, 4, -9, 8],\n [-8, -4, 0, 4]]\nB =\n[[-1, -2, 9, -8, 9, 1],\n [-2, -9, 3, 10, 4, -4],\n [-10, 5, 6, 10, 1, 8],\n [2, -5, -5, 6, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 7, 2, 0, -4, -4],\n [-5, 7, 3, -7, -2, -8],\n [2, 3, -8, -1, 0, 1],\n [-8, 4, -10, -4, -9, 5],\n [3, 1, -7, -4, -1, 5]]\nB =\n[[7, -10, 3, 10, 8],\n [-8, -6, -5, 3, -3],\n [9, 2, 10, 4, -9],\n [-8, -9, 1, -6, -7],\n [-1, 1, -8, -7, 3],\n [7, -6, -6, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 8, -8, -2, 1],\n [-7, -7, 3, 4, 1],\n [8, 8, 4, -3, -4],\n [-7, -6, -2, 3, 6]]\nB =\n[[-4, 1, 8, 2],\n [3, -7, -3, -10],\n [-2, 5, 8, 1],\n [1, -3, -5, 6],\n [-2, 7, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "801", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -9, 5, -2],\n [1, -2, 3, -9],\n [-6, 8, -7, 9],\n [7, 3, 1, -8],\n [3, 2, -2, 9],\n [-8, -1, 5, 8]]\nB =\n[[0, 10, -3, 0],\n [-6, 3, 3, 4],\n [-4, 2, -8, -2],\n [-3, -8, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -2, -6, 1],\n [-1, -4, 7, 5],\n [8, -4, 0, -6],\n [7, 2, -10, 8],\n [7, 7, -9, 1],\n [-8, -1, 3, 9]]\nB =\n[[2, -5, 4, 6],\n [3, 2, 2, 4],\n [-2, -7, -1, -2],\n [-2, 9, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -3, -8, 8, 4],\n [8, 8, -3, 0, -7],\n [-5, -1, -4, 7, 7],\n [6, 5, 7, 0, 8],\n [-4, -3, -10, 7, 3],\n [3, 5, -4, 4, -6]]\nB =\n[[0, 7, 0, -2, 10, -2],\n [-2, -2, 7, 0, 7, -6],\n [-3, 0, -6, 10, -2, 3],\n [7, 2, -9, 5, -2, 4],\n [-3, 4, 1, -10, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1553", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, 2, 2, -5, -8],\n [-1, -7, 0, 0, 4, 1],\n [9, 6, 9, -7, 5, 3],\n [3, 2, 9, 3, 0, -8],\n [5, 0, -8, 2, 2, -4]]\nB =\n[[-3, -9, -9, 8],\n [-3, 1, 3, 3],\n [0, -9, -9, -5],\n [-2, 3, 5, 3],\n [2, 1, -5, 1],\n [-9, 10, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 4, 1, 5],\n [1, 1, 4, -2],\n [8, 9, 10, -4],\n [-2, 2, 7, 8],\n [2, -7, 4, -5],\n [-9, -4, 4, 4]]\nB =\n[[-10, 2, -6, 7, -8, -9],\n [-4, -10, 6, -4, 3, 5],\n [3, -10, 8, 1, 3, -5],\n [-1, 9, -8, 1, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -3, -9, -1, 6],\n [2, 9, 6, -6, 1],\n [-10, -2, -3, -4, 5],\n [-5, -8, -5, -9, -2],\n [-4, 9, 9, -1, -1],\n [5, 4, -9, -6, -8]]\nB =\n[[8, 9, 8, -5, 7, 5],\n [-9, 2, -7, 2, 5, 0],\n [-6, -6, 4, 10, -8, 1],\n [-3, 6, 5, 6, -5, 0],\n [4, -1, -7, -7, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2224", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[7, 6, -4, -8],\n [-7, 1, 0, -3],\n [0, 3, 0, 2],\n [5, 8, 0, -9],\n [-7, 3, 9, 3]]\nB =\n[[9, -4, 9, -1, -3],\n [-3, 10, -1, -10, 8],\n [6, -6, 3, 6, 1],\n [10, -9, -9, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, 0, 0, 3, -1],\n [9, -10, 0, 10, 4, 5],\n [6, 6, -1, 0, 0, -6],\n [8, -8, 7, 8, -1, -7]]\nB =\n[[5, -7, -8, -7],\n [-7, 2, -1, 4],\n [6, 9, -3, 3],\n [-6, 9, -1, -1],\n [3, -10, -5, -5],\n [-8, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -7, -2, -6],\n [-10, -1, -8, 3],\n [-1, -6, -5, -9],\n [1, -3, 1, 3],\n [10, 5, 4, 1]]\nB =\n[[1, -2, 2, -9, -9],\n [10, -7, 7, 4, -3],\n [1, -3, 9, 10, 6],\n [8, 4, -3, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-331", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 5, 4, 7, 9],\n [-10, -3, -6, -5, 0],\n [-4, -2, 7, 0, -7],\n [0, 6, 0, 10, -5]]\nB =\n[[-1, -8, 2, 10, 9, -3],\n [-9, 7, 4, 8, 4, 0],\n [-5, 2, 9, -9, 5, -4],\n [-8, 7, -4, -1, 1, -6],\n [3, -8, 3, 6, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1700", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, -5, -4, 7, 1],\n [2, -9, -4, -6, 10],\n [-5, -1, 8, -7, 9],\n [0, 2, 0, -6, 0]]\nB =\n[[-10, -3, 5, -10, 10, 3],\n [-2, -3, 1, -7, -2, 1],\n [0, 0, -8, 1, 2, 10],\n [8, 2, -2, 3, 0, -8],\n [5, 0, 0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 8, -2, 9, -5, 9],\n [-1, -1, 2, -9, -8, 6],\n [-2, -10, 10, 0, 2, -4],\n [4, -10, 4, -10, -1, 3]]\nB =\n[[0, 1, 2, 10],\n [-2, 3, -3, -3],\n [-10, 1, 2, 1],\n [10, -8, -9, -2],\n [-7, 5, -6, -9],\n [-3, -7, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, 1, 5, 2, 5],\n [4, 9, 2, 2, -6, -10],\n [-6, 10, 1, -9, -4, -1],\n [-10, 3, -8, -4, 5, 0],\n [-1, 5, -2, -2, -1, -4],\n [-2, 6, 4, 0, -6, 5]]\nB =\n[[1, 7, 0, 4, -2, 5],\n [5, -2, -10, -2, -9, 1],\n [-4, 0, 6, -10, -3, -3],\n [1, 10, 9, -8, 5, 1],\n [8, -5, -10, 1, 6, 3],\n [9, 9, -8, 9, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-984", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 2, 10, -8],\n [9, 10, 7, -1],\n [4, 7, 3, 6],\n [-1, 1, -4, -3],\n [-9, -3, -2, -10],\n [3, 7, 5, 5]]\nB =\n[[-2, -7, 2, -8, 2, 1],\n [8, -10, 2, -1, 6, -10],\n [-2, -8, 2, 0, 8, 3],\n [7, 0, 9, -7, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2651", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -5, -8, -10, -7, 10],\n [0, -5, 2, 9, -3, 1],\n [-3, -6, 10, -1, -10, 5],\n [8, 1, 4, 5, -4, -10]]\nB =\n[[9, 6, 10, 0],\n [-2, -8, 1, -1],\n [10, 6, 3, -3],\n [-6, 8, 8, -1],\n [-8, -4, 3, 0],\n [-10, 7, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -4, -7, -6, 5, -2],\n [8, 4, -4, 1, -10, 7],\n [-3, -9, 9, 2, -9, 10],\n [-8, -9, 6, 10, -1, 5]]\nB =\n[[-8, -6, -2, -9, 0],\n [-10, -3, 0, -5, -3],\n [-6, -6, -9, -7, 0],\n [8, 2, -7, 10, 2],\n [-2, -8, -2, 8, -3],\n [-5, -4, -1, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1624", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 8, 4, 1, -9],\n [8, -7, -10, -9, 9],\n [8, 0, 2, 9, 1],\n [7, 2, -10, -2, 4],\n [1, -8, -2, 0, -6]]\nB =\n[[0, -3, -2, 1, 2],\n [-6, -3, -9, 9, 4],\n [6, -3, 1, 1, 3],\n [2, 3, 7, -6, -8],\n [-7, -7, 8, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, -2, -9, 7],\n [10, 4, 5, 2],\n [-9, 8, 6, -4],\n [-3, 10, 10, -10],\n [-5, 3, -1, 6]]\nB =\n[[-2, 8, 0, -3, 4],\n [-6, 10, 6, -4, 10],\n [-3, 4, 9, 7, -6],\n [4, 1, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 5, -4, 9, -3, 0],\n [6, -3, -9, -9, 2, 3],\n [-3, 9, -3, -4, -4, -3],\n [5, -5, 3, 10, -10, -10],\n [1, 9, -6, 1, -4, -7],\n [2, 1, 3, -6, -5, -3]]\nB =\n[[5, 3, -2, -10, -5, 9],\n [-9, -5, 5, 6, -6, 0],\n [5, 3, -9, 4, 10, -5],\n [-4, 6, -3, 0, 9, -7],\n [7, -7, 8, 0, 0, -6],\n [-4, -5, -3, 4, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2649", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -2, 6, 5, 3],\n [-5, 10, -6, 1, 8],\n [-8, -7, 0, 3, -7],\n [0, 6, -7, 2, 9]]\nB =\n[[10, 5, 3, 2],\n [4, -1, -5, 0],\n [5, -10, -1, -2],\n [-1, 5, -4, 3],\n [3, 10, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 2, -1, 0],\n [10, -1, 5, -6],\n [0, -4, 3, 10],\n [9, -3, 7, -3],\n [8, -1, 6, -2]]\nB =\n[[-7, 5, 4, -1, -6, -4],\n [8, 10, -8, -6, 4, -7],\n [-6, -1, -3, 3, 2, -10],\n [-9, 5, 9, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-563", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -2, 7, 5],\n [-7, 8, -6, -4],\n [-7, -8, -9, 7],\n [-6, -2, -7, -3],\n [-1, 3, -2, 5],\n [-7, -5, -5, 10]]\nB =\n[[-8, 10, -9, 1, 6, 2],\n [4, 0, -5, -8, -4, -7],\n [1, 9, 8, 1, -7, -4],\n [-10, 8, -9, 9, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, 2, -1, 10],\n [-3, 10, 0, 1],\n [-5, 4, -1, 0],\n [1, -1, 6, 8],\n [6, -4, -3, 5],\n [8, -7, 4, 8]]\nB =\n[[-5, -7, -7, 4, 1, 1],\n [7, 1, 4, -8, -10, 10],\n [-1, 9, 5, -3, 0, -7],\n [-8, 5, -10, -2, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[1, -3, 7, 2, -5, 5],\n [6, 9, 3, 5, 0, 6],\n [8, 7, 5, -7, 6, 1],\n [1, 1, -7, -2, 6, -9]]\nB =\n[[2, 6, 0, -10, 4, -5],\n [3, 6, -5, -9, 9, 8],\n [-8, 5, -10, 8, -2, -9],\n [-5, -8, 1, 10, -6, 4],\n [-3, -7, 10, -4, -6, 7],\n [8, 3, 4, -6, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 0, 6, 10, 10],\n [-10, -9, -2, 0, 7],\n [-3, -7, 3, 2, 10],\n [1, 0, 1, -1, -9],\n [7, 0, -5, -4, -9]]\nB =\n[[9, 4, -9, -10],\n [-1, 9, -3, -7],\n [-1, -8, 9, 6],\n [4, 4, 0, 1],\n [-3, -8, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -6, 10, 10],\n [8, 1, -7, 6],\n [4, -9, 0, -8],\n [0, 9, 1, 6],\n [4, 8, 9, 1]]\nB =\n[[5, 0, -9, 5],\n [-6, 4, -7, 5],\n [-9, -2, 3, -2],\n [-2, -1, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1193", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 2, 8, 1],\n [0, -1, -8, -7],\n [3, -5, -6, -9],\n [6, 5, 3, 0],\n [5, -6, 6, 6],\n [-6, -10, -9, -3]]\nB =\n[[-4, 4, -3, 0, 6],\n [-2, 8, -1, 7, -5],\n [3, -7, 2, -3, -1],\n [5, -1, 5, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -2, -5, 2],\n [-6, 10, 6, -6, -1],\n [-7, -9, -4, 2, -5],\n [-1, -3, -10, -3, -3],\n [6, -4, -6, -10, -1]]\nB =\n[[9, 10, 4, 9],\n [-10, -1, 10, 9],\n [-10, 5, 4, 3],\n [5, 8, -6, -6],\n [7, 9, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-670", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 8, -8, 3, -1],\n [1, 6, -7, 7, -2],\n [5, -6, -7, 4, 1],\n [1, 8, -10, -3, -1]]\nB =\n[[2, 10, 7, -5],\n [6, -1, -10, -5],\n [-3, -1, -7, 9],\n [-2, 2, 2, 2],\n [3, 10, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 6, 1, -3, 5],\n [-1, 10, -2, 4, 0],\n [5, 8, 3, 7, -7],\n [-7, 1, -7, -2, 8],\n [4, -3, -6, -4, 1],\n [-6, 1, 2, -3, 6]]\nB =\n[[5, 5, 10, 6, 4, 0],\n [-4, 4, 2, 8, 4, -3],\n [4, -7, 6, 9, -8, -10],\n [-1, -3, 6, 0, 6, -5],\n [-10, -3, 3, 1, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2120", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[4, -2, -9, -9],\n [7, 0, 2, -2],\n [8, -3, 3, -2],\n [-9, 4, 10, -5],\n [-10, 9, 4, 10],\n [-6, 4, 2, 1]]\nB =\n[[-4, 8, 6, 2, -1, -4],\n [2, 10, -4, 9, -6, -1],\n [-9, 2, -1, -6, 5, -4],\n [-1, -5, 2, 0, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 4, 2, 6],\n [-8, 10, -1, -4],\n [2, 9, -3, 9],\n [6, 4, 4, -3],\n [-10, 1, -3, 4]]\nB =\n[[-1, 4, -9, -2, -10],\n [-3, 0, 0, -1, 10],\n [5, 4, 5, -9, -5],\n [-1, -8, 1, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[-1, -7, -6, 7, -9],\n [9, -1, -9, -8, -6],\n [3, 2, -3, 2, 10],\n [1, -7, 10, 2, 7],\n [5, -2, 6, 4, 9]]\nB =\n[[-2, -5, 10, 5, 1, 6],\n [-9, -3, -4, 10, 8, -2],\n [3, 0, -8, -9, 2, 6],\n [9, 3, 5, -5, 10, -2],\n [3, -8, 3, 10, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 4, 5, 4, -7],\n [-10, 3, 5, -7, -9],\n [-10, 8, -7, 10, -8],\n [8, 4, 7, 5, 1],\n [-3, 1, 10, -9, 7],\n [10, -3, -3, 5, 1]]\nB =\n[[2, -5, 9, -6],\n [1, -8, 7, -4],\n [-9, 3, -2, -8],\n [-4, 10, 9, 3],\n [-2, 6, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1385", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -9, 2, -1, -5, 10],\n [-2, -8, 0, 4, -5, -2],\n [3, 4, 4, 8, -5, 4],\n [0, -5, -9, -1, 4, 9],\n [10, 2, -5, -2, 5, -6]]\nB =\n[[2, 2, 5, -1, -6],\n [2, 9, 7, 1, -10],\n [-2, -7, -10, 7, 1],\n [8, 2, 4, -4, 9],\n [-10, -8, 7, 10, -6],\n [3, 9, -10, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-4, 2, 8, 5, 4, -7],\n [-3, -6, -6, 6, -4, -2],\n [9, 1, -2, -3, 2, -8],\n [8, 1, 10, -3, -8, 2],\n [-10, 8, 3, 4, 7, 6],\n [6, 0, 9, 2, -7, 5]]\nB =\n[[-2, 5, -6, 0, 7],\n [3, -3, 3, -7, 1],\n [0, -10, -7, -5, 0],\n [-5, -6, -2, -10, -5],\n [7, -3, 9, 3, 0],\n [10, -7, 6, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 2, -8, -1, -8],\n [-7, -6, 6, 0, -1],\n [1, -7, -2, 8, 1],\n [-4, -9, 1, 2, 1]]\nB =\n[[5, -7, -9, -7, 5],\n [-7, -9, -9, 9, 2],\n [-5, 8, 3, -8, 5],\n [-10, 7, 0, 4, -8],\n [-2, 0, 0, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -9, -3, -10, -5],\n [0, 1, 3, 5, 7],\n [-2, -3, 2, -2, 0],\n [-6, 8, -2, 5, 5]]\nB =\n[[-7, 10, -7, 6, -1],\n [4, -10, 9, 10, 10],\n [-3, -7, 2, -5, -7],\n [-3, -2, -7, -10, 1],\n [-2, 10, -2, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 10, -3, -10, -7],\n [10, 0, 5, 2, 1],\n [9, -7, -4, -5, 4],\n [2, 7, 1, 7, -6],\n [-8, -1, 4, 3, 1]]\nB =\n[[-4, 0, -7, -2, -4, 4],\n [-1, -3, 0, 9, 9, -3],\n [9, -10, -1, -10, 8, -1],\n [-1, -4, -8, 8, 6, 8],\n [-7, -1, -4, -8, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -3, -6, 7],\n [4, -6, 9, -2],\n [-4, 0, 5, 0],\n [10, 8, -1, 2],\n [9, 5, -10, 9],\n [7, 9, -10, -6]]\nB =\n[[-5, 4, 0, 7, 4, -5],\n [3, -3, 10, -10, 8, 2],\n [7, -3, -10, 8, 6, -4],\n [-2, -2, 8, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -3, 4, 6, -9, 3],\n [-4, 4, -4, -10, -3, -4],\n [9, -7, 0, -6, -7, 4],\n [-10, 3, -7, 8, -6, 2]]\nB =\n[[1, 7, -7, 3],\n [-3, -3, 7, 7],\n [-8, -2, -6, 1],\n [0, 1, -7, -1],\n [-4, 1, -5, 9],\n [5, -5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, 0, 2, 8, -1],\n [3, 9, -3, 8, -8, 8],\n [-3, 1, -1, -6, 2, 3],\n [-10, 9, 5, 5, 0, 4]]\nB =\n[[0, -7, 9, 7, -10],\n [2, 2, 9, -9, -5],\n [-4, 10, 5, -4, 0],\n [4, -5, 0, 8, -5],\n [6, -7, -7, -9, -3],\n [-3, 7, 5, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-4, -7, -8, 10],\n [-10, -7, -8, 7],\n [-1, -10, -7, -5],\n [-8, 1, 6, -7]]\nB =\n[[10, 1, 3, -5, 2],\n [-8, 9, 3, 0, -1],\n [0, 5, 9, -7, 0],\n [1, 8, 5, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[-4, -1, -8, 5],\n [-6, 6, -9, -5],\n [0, -8, 7, -3],\n [-3, -10, -4, 4],\n [6, -1, 3, 5]]\nB =\n[[7, -3, 7, 5],\n [-5, -10, -8, 9],\n [8, 2, 2, 8],\n [4, -5, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 9, -10, 5],\n [3, 3, -10, 9, 6],\n [-8, 6, 2, -9, -5],\n [-4, -6, -10, 6, 9],\n [9, 9, -8, -3, 10]]\nB =\n[[10, -2, -9, 6, -5, 5],\n [-8, -5, 9, -6, 10, 8],\n [2, 9, 4, -1, 8, -3],\n [6, 4, -3, 0, 6, 1],\n [-10, 5, 5, -10, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 0, 5, 7],\n [-2, -4, -3, 7],\n [-6, -3, 8, -10],\n [-7, -10, 1, 7]]\nB =\n[[8, 1, 10, 6, 6],\n [7, 10, -3, 3, -2],\n [3, -7, 1, -7, 0],\n [-1, -3, 6, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-857", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-3, -5, -9, -3, 5],\n [-1, -1, 3, -9, -9],\n [-4, -7, -5, 2, -9],\n [-8, 10, 5, -8, -7]]\nB =\n[[8, -4, -6, -9],\n [4, -1, 2, -10],\n [-4, -9, -8, -8],\n [-10, 8, -3, 10],\n [10, 4, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, 7, -9, -2],\n [0, 4, -4, 6, -4],\n [-1, 9, -2, -3, -7],\n [-9, 7, -4, 3, -7]]\nB =\n[[-10, 9, -2, 0, -3],\n [-6, -10, 3, -4, 10],\n [5, 8, -5, 9, -9],\n [2, 3, 4, -3, -1],\n [7, 3, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-325", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 9, 5, -2],\n [-2, -5, 10, 3],\n [0, -10, -4, 7],\n [4, -4, -5, -4]]\nB =\n[[0, 7, 2, 10, 8],\n [3, 0, -9, 4, 0],\n [-9, -8, -6, 5, 0],\n [-10, 4, -1, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[3, 3, 8, -3, -9, -2],\n [-6, -3, 4, -10, -1, -10],\n [-7, 5, 4, -1, 7, 3],\n [-10, 1, 8, 2, 5, 3]]\nB =\n[[3, -7, 5, 4],\n [0, -9, 5, -2],\n [5, -6, 2, 6],\n [-10, 10, -7, -10],\n [-10, 0, 4, 4],\n [6, -10, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[7, 2, -4, -7, 6, 7],\n [3, -3, -3, -5, -7, -2],\n [-3, -2, 5, 0, 8, -10],\n [7, -2, 5, 0, -1, -9]]\nB =\n[[8, -7, -8, 6, -1],\n [5, 6, 9, 2, 3],\n [-10, 5, 8, -4, 4],\n [4, 5, 2, -10, -10],\n [-10, -7, 2, 6, 1],\n [-7, 4, -4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-3, 7, -7, -8, 0, 5],\n [-8, -9, -7, 3, 5, 5],\n [9, 10, -2, -7, -5, -10],\n [-1, -2, -10, -7, 1, 7],\n [-2, -7, 1, -9, -9, 7],\n [5, -7, 6, 7, -9, -9]]\nB =\n[[0, 5, -2, 1],\n [0, 4, -6, -4],\n [7, -3, -7, 1],\n [-3, 4, 3, 1],\n [-2, -1, 10, -2],\n [9, -4, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 5, -10],\n [2, 4, -10, 7],\n [8, -7, -9, 2],\n [-4, 3, -6, -9],\n [6, 2, 6, 2],\n [3, 0, -8, 1]]\nB =\n[[9, -5, 3, -8],\n [-10, 6, -2, 1],\n [8, 4, -2, 9],\n [10, -8, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1973", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -5, -7, -6, -5, 6],\n [-2, 9, 9, -8, -8, 5],\n [9, 2, -2, -6, 1, 5],\n [-4, 9, -3, 3, 10, 10]]\nB =\n[[4, -10, 8, 8, -10],\n [4, 0, -4, 3, -3],\n [8, 6, 7, 0, 7],\n [-5, -2, -9, 1, 4],\n [9, 2, -2, 10, -9],\n [-2, 4, -2, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, -10, 1, -8, 2, -10],\n [9, -3, -5, -4, -3, -2],\n [1, -2, -3, 9, 1, -8],\n [10, -8, 1, -8, -6, -2],\n [10, 10, 7, -5, 5, 5],\n [-8, 8, 4, 0, -6, 6]]\nB =\n[[-5, -8, 1, 3, 1, -1],\n [-8, 6, 5, -2, 8, -3],\n [-8, 10, 9, 3, 9, -4],\n [-6, -9, -8, -7, 7, 4],\n [-1, 7, 5, -9, 10, 6],\n [7, 1, -8, 1, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[3, 6, 5, -3, 9, -10],\n [10, 6, 4, 8, 2, -8],\n [-7, 7, -6, -9, 3, -4],\n [10, -4, 1, 6, 1, -4],\n [10, -7, -7, 4, 0, 8]]\nB =\n[[5, -3, 3, 6, 8, 8],\n [8, -7, 6, -10, 10, -2],\n [-8, -1, 5, -7, -2, -10],\n [-7, 5, 7, 10, 5, -1],\n [4, 6, -6, -6, 2, -2],\n [6, -1, -10, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-7, -3, 2, -8],\n [-3, -1, -4, 0],\n [-6, -10, -9, -10],\n [-5, -2, 0, -1],\n [-6, 7, 4, 0]]\nB =\n[[4, -1, -4, 2, 7, 10],\n [0, 5, 0, -10, -5, -5],\n [-7, 9, 6, 10, -3, -10],\n [4, -8, -2, 3, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -10, -9, 0],\n [-6, 3, 3, -3],\n [-2, -8, 6, -3],\n [-2, 8, 5, -10],\n [-1, -4, -4, -8]]\nB =\n[[0, -8, 5, -10, 8, 4],\n [-10, -3, -3, -4, 1, 7],\n [-6, -7, -9, -2, -9, 0],\n [3, -5, 8, -5, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[1, -1, -1, -1, -10],\n [-1, 10, 10, -1, -1],\n [0, 4, 8, 4, 10],\n [-2, -6, -4, -10, 7],\n [-1, 10, 3, 2, -7]]\nB =\n[[5, -4, -2, 0],\n [1, -1, 8, 4],\n [-6, 10, -5, 1],\n [-2, 1, 8, -9],\n [4, 4, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -5, 0, 6, 7, 9],\n [5, 7, 2, 8, 2, -6],\n [-6, 0, -3, -5, 4, 9],\n [-5, 2, -5, -3, -9, 4],\n [-6, -3, 1, 1, 6, 5]]\nB =\n[[7, -3, -2, -4, -4, -10],\n [-4, 4, 4, -9, -6, -7],\n [5, 6, -4, 6, 1, -8],\n [-6, 1, -10, 5, 2, -5],\n [4, 2, 3, 8, 4, -7],\n [7, 8, 10, 2, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1939", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[8, -6, 8, 4, -10, 1],\n [7, -2, 8, -5, 4, -7],\n [9, -7, 7, -1, 6, 10],\n [-7, 7, 5, 2, -8, 6],\n [9, 9, 10, 6, 3, -9],\n [-5, -7, 8, -2, -2, -8]]\nB =\n[[8, -2, -3, -4, -1],\n [-1, -2, -10, 3, -6],\n [-10, 4, -6, 4, -1],\n [2, -8, -5, 0, 5],\n [6, -9, 10, 9, 8],\n [10, 4, 4, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[9, -8, 1, -10, 2, 3],\n [5, 3, 10, -7, -1, -8],\n [4, 0, -4, 9, 2, -8],\n [1, -10, -3, 5, 5, 2],\n [3, -9, -1, -6, 10, -9]]\nB =\n[[-9, 1, 7, 1],\n [8, 4, -8, -3],\n [9, -4, 9, 5],\n [-8, 2, -4, 4],\n [2, -7, -5, -6],\n [3, -1, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -10, 8, 0],\n [-5, 2, -9, 9],\n [1, -10, -1, -1],\n [6, -10, 8, 8],\n [8, 4, 0, 2]]\nB =\n[[-6, -2, 6, 9, 9],\n [-2, 5, -4, -1, -4],\n [4, 6, -4, 7, 10],\n [-6, 7, -10, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[4, -2, -3, 8],\n [-2, 6, 7, -1],\n [9, -9, 6, -6],\n [4, -7, 6, 9],\n [-6, -4, -4, 6]]\nB =\n[[10, -7, 3, 5, -2, 1],\n [10, 1, 3, 3, 0, -1],\n [-10, -9, 4, 8, 8, 6],\n [-10, 6, -4, -9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -4, -2, 6, -1],\n [4, -8, -10, 4, 9],\n [-5, -3, 5, -6, -8],\n [7, -9, 5, -6, -10]]\nB =\n[[9, 2, 3, 9, -7, 5],\n [-1, -10, 4, 7, 1, 1],\n [2, -10, -6, -6, -6, 1],\n [6, 2, 9, 0, -8, -8],\n [1, -6, 8, 1, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1637", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, 4, -9, -5],\n [9, 1, -5, -1, 5],\n [5, -8, 9, 10, 3],\n [4, -6, 10, -10, 0],\n [-5, -6, 6, 10, -1],\n [6, 6, -2, 0, -2]]\nB =\n[[-10, 7, -4, -9, 8, 5],\n [2, 9, -3, -3, 0, -5],\n [-3, -8, 10, -1, 5, 3],\n [6, -2, 9, 2, -1, 7],\n [9, -8, 6, 4, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2502", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -2, -7, -9],\n [8, 0, -9, 6],\n [2, -6, 10, 6],\n [0, 10, 0, -1]]\nB =\n[[-8, 1, 10, -6, -10],\n [3, 1, -9, 10, 7],\n [8, 7, -9, 5, 1],\n [-4, 3, -6, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[10, 8, 5, -1, -4],\n [1, 1, 4, -6, -5],\n [4, -8, -1, -8, 9],\n [-7, -3, 1, 0, -9],\n [-5, 7, 6, 0, 7]]\nB =\n[[1, 4, 5, 4, -2],\n [6, 3, 3, 3, -8],\n [-4, 1, 7, -8, 3],\n [0, -6, -9, -1, 6],\n [-7, 1, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 10, -10, -6],\n [0, 3, 3, 3],\n [-7, -2, 8, -6],\n [-5, 3, -8, 6],\n [0, -2, -5, -2]]\nB =\n[[-2, -4, 3, -10, -10, 1],\n [1, 8, -6, -1, 8, 5],\n [-8, -3, 0, 6, -1, -9],\n [1, -10, 7, -8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "672", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, 10, -6, -10],\n [6, 5, -10, -5, -6],\n [5, 6, 0, -2, 9],\n [-5, 7, -5, -7, 6]]\nB =\n[[0, -3, -1, -6, 7, -9],\n [-2, 1, -8, 8, 5, 7],\n [1, -7, 4, -6, -5, -1],\n [6, 4, -7, -6, -5, 0],\n [-7, 3, -6, -10, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "529", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 2, 3, 1],\n [4, -4, 1, 7],\n [1, -5, -3, 1],\n [-5, 0, 0, -6]]\nB =\n[[-5, -7, -5, -2],\n [-7, -2, 3, 9],\n [3, -10, 0, -1],\n [-5, -5, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 5, 10, 6],\n [-4, 8, 10, 1, 1],\n [9, -4, 0, -2, -10],\n [-8, -9, -8, -2, 1],\n [2, -1, -2, -3, -1],\n [-4, -4, -3, 9, 8]]\nB =\n[[-2, 6, 8, 7, -10, 8],\n [4, 6, -10, -3, 6, -6],\n [-6, -6, 0, 6, -8, -10],\n [9, 4, -3, 3, 6, -9],\n [5, -2, -1, -7, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 3, -4, 1, -8, -5],\n [1, -2, 9, 1, -7, -1],\n [6, 7, 10, 1, -10, -4],\n [1, -3, 1, -4, 6, -8]]\nB =\n[[3, 3, -6, -5, -4, 1],\n [-1, 0, 7, -1, 0, -4],\n [0, -2, 5, 2, -6, 5],\n [-2, -9, -9, -4, -2, -8],\n [1, 3, 9, -8, -6, 6],\n [-4, -9, -7, 10, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 10, 5, 0, -4],\n [-8, -3, -10, -7, 4],\n [7, 7, -8, -10, -5],\n [-8, -2, 10, -1, 10]]\nB =\n[[7, 3, -2, -4, 2, -1],\n [-2, -5, 6, -2, -10, -5],\n [-6, -8, -3, -8, -2, 4],\n [6, -4, 1, -3, 5, 9],\n [-2, 7, -3, 1, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-444", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -5, -8, 1],\n [-1, -8, 1, 3],\n [-2, 0, 0, -2],\n [0, 5, 8, 10],\n [0, -2, -7, 6]]\nB =\n[[-6, -9, 2, -8, -8, -7],\n [9, -8, -3, 5, -7, 2],\n [-2, -6, 4, -5, 6, -1],\n [4, 0, -1, 2, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -3, 5, 8],\n [-8, -1, 5, -7],\n [3, -4, -4, -6],\n [-6, 7, -6, -2]]\nB =\n[[6, 1, 5, 0, -10],\n [-5, 0, -6, -8, 7],\n [-4, -2, -5, 10, 10],\n [3, 1, -7, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 4, 9, 2],\n [-5, -8, -8, 2],\n [7, 3, 6, 7],\n [9, 1, -4, 9],\n [0, -5, -7, -3],\n [-10, 9, -4, -5]]\nB =\n[[9, 4, 8, 6, -3],\n [-8, 2, -8, -2, -4],\n [-1, 6, -1, 1, -8],\n [2, -3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 0, 2, 6, 1, -9],\n [-2, -6, -9, -1, 9, -2],\n [-8, 1, -3, 8, -4, -7],\n [6, 7, -7, -3, -4, -7],\n [10, -3, -10, -9, 5, 4],\n [10, 5, 0, 8, 9, -8]]\nB =\n[[-9, 4, 7, 6, -5],\n [6, -8, 6, -2, 6],\n [2, 1, -4, -5, 6],\n [-2, -2, -7, 7, 10],\n [7, 4, -2, -5, 3],\n [10, -5, 5, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1902", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[9, 9, 0, 4],\n [10, -6, 2, 8],\n [9, 2, -9, 5],\n [4, -5, 1, -6]]\nB =\n[[8, -8, -6, 10, 7],\n [4, -1, -6, 3, -3],\n [0, -7, 6, 7, -4],\n [-1, 5, -6, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, 5, -6, 0, 1],\n [3, 6, -8, -4, 1, -4],\n [-10, 1, -4, 0, 7, -6],\n [-9, -6, 0, -9, -3, 2],\n [1, 4, -5, 7, 8, 8]]\nB =\n[[-6, -3, -9, 7, -1, 7],\n [9, 7, -9, -8, 1, 7],\n [-8, -1, -8, 9, 1, -9],\n [-5, 0, -8, -3, 4, 4],\n [4, 7, 3, -9, 4, -6],\n [-10, -3, -10, 9, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-4, -4, -3, -7],\n [2, -8, 10, -3],\n [-3, 10, -6, -9],\n [6, -3, -2, 3]]\nB =\n[[-3, -9, -1, 3],\n [-6, -1, -4, 8],\n [8, -8, -5, -7],\n [3, -4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -7, -7, 6, -3, 4],\n [9, 10, -8, -6, -3, 2],\n [5, -10, 8, 7, -1, 7],\n [-10, 4, 1, -10, -3, 4],\n [8, -7, -4, 7, 8, -3]]\nB =\n[[10, -8, 5, -3],\n [2, -4, -10, -7],\n [-1, 9, 6, -2],\n [-2, 8, -9, 5],\n [4, -8, -7, 5],\n [8, -8, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1506", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, 5, 0],\n [-1, 7, -5, -2],\n [8, -2, -6, 4],\n [-8, 10, -8, -4]]\nB =\n[[-10, -5, 9, 2, -1],\n [-4, -1, 5, 1, -9],\n [5, -8, -10, -6, -3],\n [3, -4, -4, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, -9, -4, -7, 1, 8],\n [-1, 2, -2, 2, 4, -2],\n [-3, -1, -3, 1, 10, -5],\n [9, 0, 3, 10, -3, 6],\n [-8, 4, -2, 1, -4, -2],\n [1, 8, 5, 0, 2, -8]]\nB =\n[[-3, 7, -3, -5, -9, -10],\n [-2, 9, 8, -3, -3, 3],\n [-1, -2, -3, 5, -5, 5],\n [7, -7, -5, -3, -6, 3],\n [9, 4, -9, -8, -4, -4],\n [-1, 4, -9, 8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 1, -1, 2],\n [10, -1, 9, -7],\n [0, 4, 5, 6],\n [7, -6, -7, 4]]\nB =\n[[-2, -7, -4, 5, -9],\n [-1, 10, -4, -10, 1],\n [-5, 10, -8, 6, 8],\n [-5, -4, -2, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 7, 9, 0],\n [-6, -6, 8, -9],\n [-9, 2, -2, -9],\n [-10, -2, -10, 1],\n [-10, -4, -7, -6],\n [-5, -2, -6, -1]]\nB =\n[[2, 10, -1, -10],\n [-1, -10, -5, 2],\n [-10, 4, 4, 6],\n [8, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1398", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 9, -7, -10, -8, -5],\n [10, 8, -10, -1, -4, 6],\n [-8, 3, 9, 7, 5, 5],\n [-10, 2, 8, 5, -4, -5],\n [-6, 4, -2, 10, 5, 8],\n [6, 7, -7, -3, 5, -10]]\nB =\n[[3, 10, -8, 5, 8, -5],\n [-4, 2, 1, 6, 4, 4],\n [3, -5, -7, -1, 2, 3],\n [-10, -10, 5, -3, 0, -9],\n [8, -9, -2, 3, -1, -5],\n [9, 3, 6, -2, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[8, -10, -7, -4, 6, 0],\n [6, -1, 7, 6, 1, -8],\n [9, -5, -5, 9, 2, 6],\n [3, -9, 1, 3, -5, 7]]\nB =\n[[7, 5, -1, -4, 7, 1],\n [7, -6, -4, 9, -6, -1],\n [1, -2, 3, 2, 4, -9],\n [-1, 1, 6, 2, 1, -1],\n [-6, -7, 3, 2, 6, -8],\n [-5, 10, -2, -7, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, -8, 8],\n [9, 4, 0, 0],\n [-10, 6, 0, 3],\n [10, 1, -7, 4],\n [-10, -6, -5, -6],\n [3, -8, 7, 3]]\nB =\n[[-3, 4, 5, -1, 5],\n [-6, 7, -7, 4, -9],\n [2, -3, -2, 2, -6],\n [5, 7, 10, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[9, -9, 2, 10, 9, -10],\n [2, -3, -10, -1, 2, 0],\n [2, -6, 10, -4, -6, 10],\n [-4, -4, -3, -7, 10, 10],\n [8, 8, -8, 4, -10, -4]]\nB =\n[[-5, 1, -1, 8, 7, 7],\n [0, 1, 2, -10, 10, -10],\n [5, 8, -10, -9, 5, 0],\n [-5, 4, 2, -7, 5, 10],\n [1, 6, 8, 4, -5, 2],\n [1, -4, -2, 10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[2, -6, 2, 9, -2],\n [4, -6, 1, 3, 5],\n [4, 6, 0, 9, -8],\n [10, 0, 8, 4, -5],\n [-8, 0, 8, 2, 3],\n [1, 4, 9, 1, -6]]\nB =\n[[-9, -4, 3, -7, -10, -6],\n [2, 2, 7, 3, -9, 8],\n [-1, 9, 3, 0, 3, 8],\n [-7, -1, -10, 7, 3, -7],\n [-8, -5, -8, 9, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-10, 5, -2, 6, 9, 5],\n [3, -1, 0, 7, -10, -1],\n [-10, 3, -2, 2, -6, -4],\n [0, -9, 2, 10, 4, -9]]\nB =\n[[-3, -7, 9, -8, 0],\n [-10, -1, 5, 2, -10],\n [-6, 7, 10, 7, -9],\n [0, 9, 2, 5, -1],\n [5, -7, -4, -5, -4],\n [7, -7, -7, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 5, 8, -5],\n [-1, 0, 4, -7],\n [-7, 0, -10, 10],\n [-5, 7, 8, -6],\n [-6, -5, 5, 10],\n [7, -5, -2, -1]]\nB =\n[[-3, -2, 10, 4, -4, 4],\n [4, 10, 9, 1, 3, -9],\n [4, 7, -7, -4, -7, 2],\n [4, -10, -3, -10, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-2, 7, 10, -5, -3],\n [3, -3, 4, -5, 1],\n [6, 7, 2, 4, 8],\n [6, 8, 2, 4, -6],\n [-5, 3, -5, 10, -6]]\nB =\n[[7, -2, 10, -1, 4],\n [9, 5, 1, 8, -9],\n [-4, 4, -1, 6, 4],\n [-3, -1, -4, -6, -10],\n [3, 7, 7, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 6, 6, -1, 10],\n [2, -4, 6, 5, 4],\n [0, -10, -3, 4, 3],\n [10, 5, 5, -5, 7],\n [-2, 7, 3, -10, 1],\n [6, -5, -7, 6, -2]]\nB =\n[[-4, 7, 6, -8, 3],\n [-3, 4, -8, 6, 9],\n [7, 9, 1, -7, 7],\n [-8, -4, 4, -9, 7],\n [-2, -4, -5, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -3, 10, -7, -7],\n [-6, 7, -1, 3, -4],\n [7, 6, -7, 5, 3],\n [8, -9, 10, -5, -9],\n [8, -3, -1, 0, 7],\n [-10, 8, 8, 4, 10]]\nB =\n[[9, -1, 9, -5, 2, -4],\n [-3, 0, -7, 7, -5, -4],\n [3, -2, 2, 0, -9, 0],\n [6, 3, -2, -10, 4, -7],\n [2, 3, -1, -7, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -4, -1, 7],\n [10, -1, -9, 8],\n [-10, 0, -1, -4],\n [-1, -8, 7, -9],\n [-3, 7, -2, -8]]\nB =\n[[-2, 8, -5, -1],\n [10, -10, 0, -5],\n [-9, -8, 8, -5],\n [-10, -6, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -2, 6, 5, 9],\n [-3, -7, 8, 4, -8],\n [10, -8, 10, -2, 9],\n [-4, 1, 5, 1, -10]]\nB =\n[[4, 5, -6, 9, -2, 9],\n [-5, 1, 9, 3, 5, 0],\n [4, 5, -2, 4, 3, 6],\n [7, -6, 4, 2, 4, 8],\n [4, 0, 9, 4, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1486", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 2, 6, -1],\n [7, 9, -6, 8, 7],\n [-7, 1, -3, 1, -4],\n [-4, 6, -2, 8, -9],\n [-8, 8, -7, 10, -9],\n [6, 3, -5, 9, -6]]\nB =\n[[2, 8, 6, 10],\n [2, 1, -10, -3],\n [8, -7, 10, 6],\n [-3, 7, -10, -6],\n [-5, -2, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-999", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 6, 2, 4, 3, 4],\n [-9, 4, 3, -1, 8, 8],\n [7, -2, 6, -8, 4, -1],\n [5, -2, 3, 3, 3, -7]]\nB =\n[[7, -7, -5, -9],\n [6, -9, 7, 0],\n [4, 0, 3, 9],\n [1, 7, 8, 3],\n [-10, -4, -9, 9],\n [7, -7, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 5, -2, -1, 9, 9],\n [-8, -1, 0, 9, -3, 9],\n [-3, -5, -2, 6, -1, -10],\n [9, 9, -8, -3, 7, 9]]\nB =\n[[5, 4, -5, -8, -4],\n [0, 9, 2, 4, -4],\n [9, 7, -2, 1, -10],\n [0, 10, 10, -3, -7],\n [-9, 1, -3, 1, 2],\n [-8, -5, -7, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -6, 6, 9],\n [-3, 2, -4, -7],\n [-2, -2, -4, -1],\n [2, 5, -6, -7],\n [3, -5, -5, 8],\n [-3, -1, -5, -8]]\nB =\n[[7, -1, -6, 1, 7, -7],\n [10, 3, -3, -4, 0, 8],\n [8, -6, 9, -4, 2, -9],\n [-7, -4, 7, -5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1725", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 3, -1, -6, 4],\n [-1, -3, -2, 6, 4],\n [1, -8, -6, 5, 6],\n [0, -5, 7, 9, 1],\n [-6, 6, -5, -10, 10]]\nB =\n[[-10, -8, 7, 7, 2, 5],\n [-4, 9, 3, 9, 4, 6],\n [3, -10, -8, 8, 1, 3],\n [2, 8, -4, -6, -2, -1],\n [-7, 8, 1, 9, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -8, 1, 7, -3, -1],\n [9, -7, 3, 2, 6, 3],\n [-1, 3, 5, -5, 4, -8],\n [-6, -5, -7, 10, 7, 10]]\nB =\n[[-3, -9, -7, 9],\n [8, 9, -9, -5],\n [1, -3, -7, 2],\n [5, 3, -9, -1],\n [-7, 4, 4, 6],\n [2, -6, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "775", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -9, -8, 5],\n [1, -6, 10, 1],\n [-3, -8, 4, 5],\n [5, 6, -5, 3],\n [2, 6, 4, -4],\n [2, -7, -5, 5]]\nB =\n[[-9, -5, 3, 7, -1],\n [6, 4, -8, 6, 6],\n [0, 4, 7, 10, -2],\n [5, -4, 0, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1247", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, -4, -7, -4],\n [6, -8, 4, -3, 7],\n [6, -4, -1, -4, -2],\n [-5, -10, 8, -9, 0]]\nB =\n[[0, 3, 4, 2, 8, 3],\n [-3, -1, -7, 9, -8, -4],\n [0, -1, -4, 8, -6, -5],\n [-9, 2, -7, -10, -1, -7],\n [-10, 0, 0, -5, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1223", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -9, -10, -9, 9, -10],\n [5, 5, -10, 6, 7, -1],\n [8, -2, -1, 10, 10, 6],\n [-1, -10, 9, 0, -3, -10],\n [9, 2, -8, -5, 4, -2],\n [5, -2, -8, -7, 10, -7]]\nB =\n[[3, 3, -6, 2, 6],\n [5, 8, 6, -4, -6],\n [-1, -3, 8, -4, -4],\n [4, 10, -4, 7, -1],\n [-6, -10, -1, 10, -9],\n [10, 7, 4, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1392", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -1, 10, -2],\n [-5, -6, -3, 4],\n [-3, 4, -7, -5],\n [0, -6, -5, -7]]\nB =\n[[6, 3, -7, 1, -6, -4],\n [9, 3, -7, 0, -6, 10],\n [-5, -5, -10, -1, 7, 8],\n [4, -9, 3, -10, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 9, -2, 9, -3],\n [-5, -2, -3, -4, -2],\n [-2, 5, 9, -9, 9],\n [-4, 4, 2, -4, 5],\n [-7, -8, -6, 1, 8],\n [7, -2, 5, -5, -9]]\nB =\n[[-4, 1, 0, 6],\n [5, 7, 0, -8],\n [-2, 1, -9, 5],\n [3, 8, 4, -10],\n [7, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 7, 10, -8, 0, -4],\n [6, 9, -4, 2, -9, 8],\n [-3, 6, 9, -7, 2, 9],\n [-8, -3, 1, -5, -8, 1],\n [7, 5, 2, 4, 3, -10]]\nB =\n[[-2, 0, -9, -9, 8],\n [6, 8, -3, 4, 5],\n [2, 7, 6, -1, 10],\n [0, 3, -6, 6, -4],\n [-9, 6, 3, 1, -5],\n [9, -7, 4, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -3, 7, 4],\n [5, 5, 5, 0],\n [10, 1, 1, 4],\n [-3, 6, 8, -6],\n [-5, 3, 5, 10],\n [6, -6, -1, 4]]\nB =\n[[5, 10, -10, 3, -5],\n [-8, 4, -3, 1, 6],\n [-7, -9, -4, -1, -2],\n [1, 9, -7, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-275", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 5, -5, -3, 5],\n [-6, -6, 6, 8, -7],\n [5, 7, -4, 3, 5],\n [-1, -1, 0, 3, -6],\n [-3, -1, -10, 5, 5],\n [10, 10, -10, -5, -6]]\nB =\n[[6, 3, 1, -3],\n [10, -2, 6, -2],\n [-4, -10, -10, -7],\n [9, 3, -1, -6],\n [8, -3, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -9, -7, 6, 1],\n [3, -6, -6, -5, 3],\n [6, 8, -10, -7, 6],\n [2, -7, -2, -8, 5],\n [6, 3, -1, -10, -2]]\nB =\n[[-7, -6, -8, 5],\n [-9, -8, -2, -7],\n [5, 2, -5, -3],\n [0, -8, 7, -1],\n [0, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-9, 8, 8, -6],\n [10, 4, 8, 5],\n [10, -7, -5, -4],\n [-9, 9, -7, 2],\n [6, 7, 6, 9]]\nB =\n[[-9, 7, 4, 3],\n [4, -5, 7, 2],\n [-6, -7, 3, -6],\n [3, 2, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, -8, -3, 1, -5],\n [7, 5, 7, -5, -2],\n [4, 2, -5, -7, 3],\n [8, 0, 1, -9, 6]]\nB =\n[[8, -8, 0, -10],\n [-1, -1, -4, -10],\n [-2, -9, 9, -1],\n [-4, 1, -6, -4],\n [5, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-1, 4, 4, 1, -4],\n [9, -7, 2, 0, 0],\n [-9, -10, 8, -5, 1],\n [-7, 6, 4, 7, 7]]\nB =\n[[-10, 3, -6, 10, 10, -4],\n [-2, -8, -3, -1, 5, -8],\n [3, -2, 5, -5, 6, 6],\n [-8, -2, 5, -1, 2, 4],\n [6, -6, 1, 6, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, 2, 5, 2],\n [1, -8, -6, -6, -3],\n [-8, -2, -9, -8, 5],\n [10, -4, -10, -3, 10]]\nB =\n[[-8, 1, -10, -7, 6],\n [-3, -2, -1, 3, -2],\n [3, -3, 5, 0, 5],\n [-10, -3, 2, 3, 5],\n [5, 10, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, 7, 1, -10, 2],\n [7, 8, -2, 3, -7, 2],\n [7, 5, -8, -2, 2, -1],\n [9, 3, -3, -7, -8, -1],\n [1, -1, 5, 5, 10, 7]]\nB =\n[[-10, 8, -7, 6],\n [4, 5, 7, -3],\n [6, -9, -9, -7],\n [-6, -10, -4, -4],\n [-9, 8, -3, 8],\n [5, 7, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[1, -10, 8, -1],\n [-10, 5, -3, 5],\n [4, -7, -3, -5],\n [-10, 2, -3, -3]]\nB =\n[[-1, 4, -5, 4, -7, 5],\n [-1, -5, -9, 9, 2, -6],\n [8, 10, 9, -10, 2, -6],\n [-9, -3, 0, -7, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[2, -7, 0, 4],\n [-1, -3, 3, 0],\n [8, 0, 6, 5],\n [-1, 5, 1, 4],\n [-8, 8, -5, 5],\n [-9, -2, -6, 4]]\nB =\n[[9, 10, 0, 0],\n [2, 5, -4, -1],\n [2, -8, -10, 9],\n [9, -10, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 2, -5, 9, 10, 4],\n [-7, 0, -7, -3, -7, 8],\n [9, -1, -8, -1, 5, -1],\n [-1, -3, 10, 0, 9, -2],\n [-9, 4, 3, -10, -6, -6]]\nB =\n[[-3, -3, 8, -4, -8],\n [6, 6, 10, 4, -2],\n [2, -3, 3, -5, 6],\n [-10, 4, 10, -4, 0],\n [1, -7, 5, -8, 2],\n [-2, -4, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 10, -7, 6, 2, -6],\n [5, -3, 7, -4, -8, -9],\n [4, 3, 6, -1, 7, -6],\n [2, 10, 3, 3, -1, 1]]\nB =\n[[-9, -1, 2, -7, -6],\n [-2, -1, 0, 9, 0],\n [0, 4, 7, 8, -7],\n [4, -7, 6, 3, -9],\n [8, -10, -9, 3, -10],\n [-8, 3, -3, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 1, -4, 2],\n [-4, 3, -8, 2],\n [-4, 6, 0, 9],\n [-9, -10, -9, 8]]\nB =\n[[-9, 10, -1, -8, 8, -2],\n [8, 6, -6, -7, -5, 9],\n [-2, 10, -1, -9, -8, -5],\n [2, -9, 9, 2, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[1, 6, -8, 2, -4],\n [-2, -2, -6, 0, 3],\n [-6, -1, -10, -3, 2],\n [-1, 5, -5, -7, 9],\n [3, -3, 7, -8, -4],\n [8, -1, -9, 7, 4]]\nB =\n[[9, -6, -5, -3, -1, 1],\n [9, 5, 10, 10, 1, 0],\n [-7, -1, -10, -5, -6, 8],\n [-6, 10, -9, 4, 7, 9],\n [2, 1, 10, -7, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 7, -9],\n [5, -2, -5, 9],\n [-6, 5, -8, 3],\n [-6, -4, -6, -7],\n [-7, 7, 10, -5]]\nB =\n[[7, 8, 9, -1, 7],\n [-4, 8, 7, 1, -9],\n [0, 1, 0, -9, 3],\n [-6, 3, 9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 9, 8, -10, -9, 4],\n [8, 8, -1, -2, -6, 2],\n [-4, -1, 8, -6, -3, -2],\n [-4, 9, 2, 8, -5, -10],\n [-6, -3, -10, -8, 10, -7],\n [-10, 0, -2, 0, 7, 1]]\nB =\n[[-9, 2, -8, -3, 10, -10],\n [-10, -10, -6, 6, 10, -8],\n [7, 4, 2, -8, -7, 1],\n [5, -2, 10, -4, -7, -8],\n [-6, 3, -5, -10, -4, 2],\n [-6, 9, -2, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 3, 2, -4, -9],\n [1, 2, 5, -3, -9],\n [-8, 4, -6, -10, -10],\n [-3, 3, 1, 3, -3]]\nB =\n[[9, -2, 8, -8, -5, 6],\n [-2, 3, 5, 9, 8, -8],\n [7, -9, 3, -8, -7, -1],\n [0, 2, -5, -1, -4, 8],\n [8, 6, -4, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 0, 5, 8, -10, 9],\n [9, -3, 6, 6, 1, 2],\n [-3, 1, 4, 3, -1, -7],\n [-9, -2, 2, 0, 1, 5],\n [6, -8, 4, -7, 5, -2]]\nB =\n[[-8, 3, 2, 0, -9],\n [10, -2, 7, -5, 8],\n [5, 2, -9, -7, -6],\n [9, -8, -8, -6, 8],\n [6, 4, 1, 10, -8],\n [-8, 7, 6, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, -1, 0, 8, -7],\n [-10, 5, 6, -7, 8],\n [3, 4, 2, 10, -6],\n [-8, -1, 2, -3, -1],\n [-10, -10, 8, 5, -8]]\nB =\n[[9, 3, -1, 7, -7],\n [2, 5, -6, 10, -1],\n [7, 5, -5, 0, 2],\n [-6, 2, 0, -6, 7],\n [-4, 2, -1, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[9, -2, -2, 2, -3, -6],\n [6, 0, 0, 2, 1, 1],\n [-10, 1, -1, 1, 2, 8],\n [3, -7, -4, 1, -1, 5],\n [5, -2, -4, 5, -6, -5],\n [2, -6, -7, -6, -9, 5]]\nB =\n[[2, 4, -3, 7, 10],\n [3, 10, -2, -1, 5],\n [3, 5, 6, 8, 2],\n [-4, 6, 5, 6, 7],\n [-10, 7, 8, 6, 4],\n [-1, -5, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -7, 9, 3, -2],\n [9, 10, -10, 1, 5],\n [10, -2, -9, -8, 7],\n [-6, -5, 10, -10, 0],\n [-1, -9, -4, 6, 10],\n [-3, -4, 10, -1, 6]]\nB =\n[[-9, -8, 2, 4, -9],\n [-10, -1, 10, 1, 7],\n [10, -3, 9, -2, -4],\n [5, -2, 7, 1, 0],\n [-1, -3, -8, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-712", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -7, 1, 10, -1],\n [-6, 8, -6, -2, 8],\n [-1, -6, 0, -5, 0],\n [-3, 2, 7, 5, -2],\n [5, -8, -1, 10, 9]]\nB =\n[[-9, 6, 4, 2, -9, 5],\n [-4, 1, 6, -1, 9, 1],\n [-2, 10, -10, 5, -2, -10],\n [9, -8, 7, 2, -10, -6],\n [-6, -10, 2, -4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-543", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -2, 4, 0, -5],\n [-9, -1, 4, 6, -3],\n [-6, 3, -3, -9, 8],\n [5, -4, -1, 9, -3],\n [5, 1, 9, 7, 8],\n [-2, 6, 1, 7, -8]]\nB =\n[[-5, 8, 0, 3],\n [-1, -5, 7, -4],\n [-10, 0, 10, -5],\n [-6, -8, 10, -1],\n [-2, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, -7, -2, 1, -2],\n [-1, -8, -7, -3, 2],\n [-7, -10, 1, 10, -8],\n [3, 7, -3, 2, -6],\n [1, 0, -5, -10, -1],\n [-10, -7, 0, 1, -5]]\nB =\n[[5, -4, 9, -6],\n [-10, 5, 4, 8],\n [-6, 3, -7, 10],\n [-6, -9, -2, 5],\n [3, -10, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -5, 7, 4, -6],\n [9, -2, 10, -10, 0],\n [-8, -1, -1, 4, -10],\n [-2, 8, 8, -3, 5],\n [10, 10, -9, 1, 0],\n [-1, 6, 3, -8, 9]]\nB =\n[[-8, 6, -9, 9, -3],\n [-8, -5, 2, 7, 5],\n [7, 8, -4, 3, -3],\n [-10, 9, 4, -6, 10],\n [7, 2, 9, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 0, -4, 4, -1],\n [-2, -2, 9, -2, -5],\n [7, 1, -1, 4, 9],\n [1, -8, -4, 0, -7],\n [7, -5, 4, 8, -6]]\nB =\n[[-6, -5, -9, -8],\n [5, 4, 9, 3],\n [-1, 1, 6, 10],\n [4, 9, 5, 8],\n [3, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-4, 7, -9, 10],\n [10, 0, -1, 3],\n [9, -1, 7, -10],\n [7, 3, -10, 4],\n [-5, 1, -9, 4]]\nB =\n[[9, -8, 10, 3],\n [-7, -6, 0, 7],\n [9, -6, 10, -5],\n [-3, 5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -9, 9, 7],\n [3, -10, 2, -7],\n [4, 0, 3, -5],\n [-6, 5, 9, 0],\n [10, 6, 6, 10],\n [-2, 8, 4, 5]]\nB =\n[[6, 6, 10, -9],\n [-6, 7, -5, -9],\n [6, 7, -3, 7],\n [-1, -4, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "839", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -1, 4, -8, -7, 5],\n [-6, 10, -3, 0, -1, -4],\n [-8, 2, -5, 3, 4, -8],\n [-3, -4, 6, -3, 10, 3]]\nB =\n[[-6, 0, 6, 6, -5, 2],\n [-3, 3, -9, -5, -3, 0],\n [1, -7, -7, -4, -9, -2],\n [-5, 2, 8, -8, -3, -1],\n [6, 1, -10, 8, 1, -3],\n [3, -5, -3, -9, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, 4, -1, -6, -9],\n [6, -5, 2, 7, 5, 6],\n [-5, -5, 8, 9, -9, -9],\n [2, 0, 3, -6, -1, 9],\n [1, -5, -3, 4, -1, 6],\n [5, 7, 10, -6, 2, -10]]\nB =\n[[-3, 5, 5, 3, 8, -5],\n [-4, -3, -3, -6, -7, 5],\n [9, 4, -2, 1, 1, -7],\n [-2, 10, -2, 6, -5, 0],\n [-2, 4, 1, -3, -6, -6],\n [9, 0, 3, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -8, -2, -4, 3, -3],\n [7, -5, -10, 9, 2, -2],\n [-3, 1, 1, 5, -10, 3],\n [-10, 7, 3, 7, -5, 5],\n [1, 1, 3, -4, -1, 6],\n [-9, 8, 1, -4, 7, -3]]\nB =\n[[7, -8, -8, 8, 5],\n [8, -10, 8, -5, 10],\n [-3, -4, -9, 3, 6],\n [-1, 6, -5, -5, 5],\n [-4, 9, 10, 2, -6],\n [-4, -8, -2, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1914", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-10, 8, -7, 5],\n [4, 3, -4, 9],\n [-6, -7, -3, -2],\n [-3, -2, 9, -8],\n [6, 10, -3, 4],\n [2, -1, 6, 8]]\nB =\n[[3, 9, 7, 0, -5, 2],\n [9, 6, 10, 1, -10, 8],\n [-10, -2, 1, -6, -6, 10],\n [5, -2, 0, -3, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 5, -9, 10],\n [2, 3, 7, 2],\n [2, -9, 5, 1],\n [-1, 7, 5, -7],\n [-1, -3, 1, -9],\n [-9, 5, -3, 7]]\nB =\n[[2, -2, -4, -2, 1],\n [0, 2, 0, -2, 0],\n [-4, 3, -3, -7, -6],\n [10, -9, -5, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -8, -4, 9],\n [5, -9, 2, 1],\n [10, 8, -10, -1],\n [7, -2, 3, -8]]\nB =\n[[10, 0, -5, -3, -2, 9],\n [-5, 7, -9, 4, 7, 8],\n [-7, 6, -1, 3, 1, 2],\n [-3, 8, -7, 6, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -8, -1, -8],\n [-2, -5, 1, 1],\n [-2, 7, -2, -6],\n [4, 10, 2, -4],\n [-7, 0, -1, -9],\n [9, -8, -10, -9]]\nB =\n[[-1, 4, 3, 4, -5],\n [7, -9, -6, 4, -5],\n [-8, -10, 0, 10, 1],\n [-2, -1, 7, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-567", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-4, -7, -6, -7, 2, 2],\n [1, 8, 0, 4, -7, -1],\n [7, 8, 10, -10, 10, -4],\n [-1, 6, -3, 6, 6, -3],\n [-2, 2, 0, -7, -9, 0],\n [1, -10, -2, -3, -6, 2]]\nB =\n[[0, -8, 0, -6, 10],\n [4, 8, 2, 5, 9],\n [9, 6, -2, 9, 8],\n [-1, 5, 8, -6, 9],\n [1, 0, -2, -6, -2],\n [-8, 3, -6, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -8, 6, -4, -8, 10],\n [6, 3, -7, -10, 6, -2],\n [-5, 8, -6, -8, -10, 4],\n [-5, 6, 0, 4, 7, 1],\n [5, 5, -8, 1, -4, -1],\n [9, -8, -7, -8, -10, -7]]\nB =\n[[4, -2, -1, 4],\n [10, 1, -7, -1],\n [10, 4, -7, 5],\n [7, 2, -9, 0],\n [-4, 5, -8, 10],\n [0, -1, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -3, 6, -6],\n [-5, 10, 8, -2],\n [-8, 3, 5, 0],\n [-9, -6, -8, 1]]\nB =\n[[-7, 7, -2, 9],\n [6, 0, 1, -9],\n [2, -1, -9, -8],\n [-6, 9, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 10, 10],\n [1, 3, 3, 3],\n [3, 6, -4, -6],\n [10, -7, 1, 9],\n [7, 2, -5, -6]]\nB =\n[[-4, -5, 8, -2],\n [0, 5, -7, 8],\n [-6, 5, 9, -1],\n [3, 10, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -5, -6, 10, 9],\n [9, -4, -1, -4, -7],\n [-9, -10, -2, 6, -3],\n [-6, -9, 3, 5, -2]]\nB =\n[[9, 1, -3, 8, -3, -7],\n [9, -4, 7, -2, 9, 7],\n [-2, 9, -10, -5, 8, 10],\n [6, 5, 3, -10, 5, 1],\n [-8, 2, -9, -6, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-550", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -7, -10, 8, -5, 1],\n [7, 4, 4, -9, -9, -2],\n [0, -8, -7, -6, -10, 4],\n [-10, 6, 4, 6, -5, -2]]\nB =\n[[-9, -4, -1, 8, -10, -4],\n [-4, -8, -9, -5, 8, -3],\n [5, 4, 6, 1, 9, 6],\n [9, -4, 2, -9, 7, 4],\n [-10, -8, 10, 3, 5, -10],\n [4, -2, -8, 8, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -9, -10, -6, 3],\n [7, 2, -5, 2, -9],\n [7, 2, 0, 8, -5],\n [9, 9, -7, -3, -7],\n [5, -8, -5, -6, 2],\n [-8, 6, -8, 1, 2]]\nB =\n[[-1, -4, 7, -10],\n [-9, -8, 3, 7],\n [-5, 4, -4, 3],\n [0, -6, 7, 6],\n [6, 6, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -6, -1, -7, -8, 1],\n [8, -10, 0, -1, 0, -2],\n [10, 4, -10, 3, -7, 5],\n [7, 1, 5, 4, -1, 9],\n [6, 5, -9, -1, -7, 8]]\nB =\n[[0, 2, 7, -5],\n [-10, -5, -9, 3],\n [-6, -10, 8, -10],\n [3, 4, 2, -9],\n [8, 8, -5, 0],\n [-9, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1386", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-4, -9, -7, 9],\n [2, 5, -3, 6],\n [-2, -9, 0, 6],\n [-1, -8, -8, -1]]\nB =\n[[6, 8, -6, 5, 1, 9],\n [-5, 2, -7, -5, 6, 9],\n [-2, 8, -5, -6, 8, 9],\n [-8, 1, -4, -3, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 6, -2, -8, -5, 0],\n [6, 10, 1, -2, 9, -6],\n [5, -3, 1, 7, 0, -4],\n [7, -1, -10, -2, 0, 5],\n [-7, -9, 7, 1, 8, 0]]\nB =\n[[-2, 3, -10, -1, -8, -10],\n [-2, -6, -5, 6, 1, 1],\n [10, 9, -4, 5, 3, 2],\n [7, 0, -5, 9, -9, 7],\n [-5, 7, 1, -6, 6, 9],\n [-2, 6, 8, 6, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, -4, -10, 3, -3],\n [10, 1, -9, 10, 4, -5],\n [-10, -6, -2, -2, -8, 8],\n [9, 3, 0, 6, 3, 6]]\nB =\n[[6, -6, -9, 9],\n [3, 3, 5, -3],\n [8, -8, 2, -8],\n [7, -8, -9, 2],\n [-10, 6, -5, -1],\n [-9, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 8, -4, -2],\n [-9, -4, 0, 9],\n [-1, 8, -1, -4],\n [-5, 0, -4, -2]]\nB =\n[[-8, 2, 4, -10, -6],\n [1, 4, 0, 9, 8],\n [4, 2, 6, -9, -5],\n [2, 4, -6, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "948", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[3, 1, -2, -9, -3, -2],\n [10, -4, -3, -7, 4, 9],\n [9, -5, -5, 5, -1, 4],\n [-8, -2, 7, 6, -5, -1]]\nB =\n[[-10, -4, -8, -2],\n [-1, 2, -3, -3],\n [-9, -3, 10, -10],\n [1, -8, 8, -4],\n [2, 4, 0, 7],\n [6, -8, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, -9, -10, 0, -3, 8],\n [8, 3, 9, 10, 8, 1],\n [-1, 8, 8, 5, -6, -5],\n [7, -4, -9, -2, 2, -3]]\nB =\n[[5, -9, 1, -6],\n [3, -1, 9, 6],\n [-8, 9, -8, -7],\n [-8, 0, 8, 0],\n [3, 2, 2, 10],\n [-5, 10, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -9, 2, 1, -8],\n [0, -7, 3, -8, -7],\n [-2, 2, 0, -10, 0],\n [3, 7, -4, -5, -9],\n [10, -1, 6, 0, -6]]\nB =\n[[2, -9, -1, -4],\n [10, 4, -1, 6],\n [8, 1, 1, -1],\n [0, -1, 6, 3],\n [-10, 10, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1397", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -6, 3, 6],\n [-6, 9, -4, 1],\n [-2, 1, -8, -10],\n [7, -2, -3, -6],\n [10, 7, -9, 6],\n [10, 3, -6, 2]]\nB =\n[[3, 7, 5, 10, -9, -1],\n [-9, 7, 7, 6, -3, -10],\n [9, -8, 9, -5, 3, -10],\n [6, -7, -5, -6, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2597", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, 2, 2, 8, -4, 3],\n [8, 1, 7, -7, 6, 4],\n [-5, -9, -1, 1, -2, 4],\n [9, -10, -4, -4, 4, -2],\n [-5, -8, -6, 2, 1, -5]]\nB =\n[[-1, 2, 9, -7, -8],\n [2, -7, -6, -1, 5],\n [-8, -9, 8, 1, 1],\n [8, 4, 6, -8, -3],\n [2, -5, -7, 0, 6],\n [-7, 3, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -7, 5, 0],\n [-6, 9, -7, 7],\n [10, 2, 4, -7],\n [-1, -3, 4, -1]]\nB =\n[[3, 1, -2, 6, 7],\n [10, 4, -5, -2, 5],\n [1, 6, -7, -10, -5],\n [2, -4, 2, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "962", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, -1, 8, 8],\n [-7, 1, 3, 10, -7],\n [-10, 1, 10, 8, -7],\n [10, 0, -3, -9, -4],\n [2, -10, 6, 0, -2]]\nB =\n[[0, 10, 8, -9],\n [2, -4, 2, -4],\n [-6, -9, 8, 2],\n [-8, -4, -4, -1],\n [-7, 5, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, -8, 2, -6],\n [2, 1, 1, -6, 9],\n [-9, -4, -8, -5, 7],\n [-10, -7, 1, 6, 4]]\nB =\n[[-4, -6, 7, 9, 0, 1],\n [-3, 0, 1, -6, -7, -7],\n [7, 2, -2, 6, 10, 8],\n [3, -5, 6, 4, -9, 5],\n [-3, 2, -8, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, -10, 4, 5, -7],\n [-9, -4, -4, 6, 7, -6],\n [-9, 1, -6, -4, -3, -3],\n [-2, 0, -3, -5, 8, -4],\n [-10, 8, 2, -5, 5, 0],\n [0, -4, 0, 9, -8, -7]]\nB =\n[[9, 4, 7, 9, -2],\n [7, 3, -10, 5, -5],\n [-9, -3, -6, 0, -8],\n [1, 1, -1, 6, -5],\n [-2, -4, 8, -8, 3],\n [4, -5, 8, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-944", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[-3, 1, 8, -7, 4, -2],\n [-1, 4, 3, 9, 4, -6],\n [9, 8, 7, -8, -4, 3],\n [8, -4, -2, -3, -9, -10],\n [-7, 7, 7, -9, 4, 7]]\nB =\n[[-6, 4, 5, -5, 2, 2],\n [2, -4, -8, 6, -5, -2],\n [2, 10, 3, 6, 1, 8],\n [-2, 8, 3, 8, -9, -5],\n [-2, 7, 10, -4, -5, 2],\n [2, 3, -8, -1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 5, 8, 4, 7],\n [8, -10, 1, 7, 3],\n [-10, 4, 5, 4, -2],\n [10, 10, -5, 9, 0],\n [0, 6, 10, -10, 0],\n [-8, 5, 5, -10, 8]]\nB =\n[[-8, 6, 4, 4, -3, 10],\n [7, -5, 10, -8, 3, 9],\n [6, -7, 1, -9, 9, 1],\n [-1, 9, -1, -9, 5, -5],\n [8, -6, -7, 1, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-2, 3, -6, -4, -3],\n [9, 2, 8, 1, 7],\n [0, 5, 6, -1, -2],\n [9, 4, -3, -6, 4]]\nB =\n[[-6, -10, 5, 9],\n [8, 10, 10, 9],\n [9, 0, 4, -7],\n [6, 9, -4, -2],\n [-2, 2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -6, 3, 5, -1, 4],\n [-9, 6, -4, -9, -1, 8],\n [-9, -2, -1, -4, 2, -1],\n [6, 0, -8, -10, 6, 6],\n [5, -10, -10, -1, 1, 9],\n [4, -2, -5, 3, -7, 10]]\nB =\n[[-5, 4, -8, 4, 0, -3],\n [7, 9, 6, -4, 9, 5],\n [8, -5, -6, -7, -4, 8],\n [6, -10, -10, -8, -4, 4],\n [-3, 10, 9, -5, -10, 7],\n [-4, -8, -2, 5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3092", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[5, 3, -10, 2],\n [2, -8, -3, 5],\n [-9, 3, 7, -6],\n [3, 5, -9, -3],\n [-4, -1, -7, 4]]\nB =\n[[1, -5, 0, 7],\n [4, 7, 1, -9],\n [8, 0, -6, 1],\n [9, -7, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -7, 5, -10, 5],\n [-9, -9, -8, 0, 5],\n [6, 5, -3, -1, 10],\n [8, 7, -7, 6, -1],\n [-7, -8, 5, 8, -2]]\nB =\n[[3, 5, 7, 6, -4],\n [-5, 9, -1, 2, -4],\n [4, 7, -7, -2, 8],\n [1, 3, -4, 7, 8],\n [-2, -8, 4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-370", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 3, -8, 5, -4],\n [0, 1, -2, 8, -7],\n [6, 5, 10, -6, 2],\n [1, 1, 9, -1, 1],\n [2, -5, -7, 10, -5]]\nB =\n[[-5, 9, -10, 5],\n [-6, -8, -8, -7],\n [-4, 4, -10, 9],\n [10, 2, 4, -10],\n [4, 3, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1496", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 2, -9, 9, 8],\n [-5, 1, 2, -10, 8],\n [-8, 1, 9, 3, -7],\n [9, 2, 1, 0, 5],\n [6, 4, -4, 5, 2]]\nB =\n[[-7, 3, -4, 5, 2, -3],\n [-9, 9, -3, 3, 10, 6],\n [7, -2, -9, 1, -4, -9],\n [5, 10, -10, -10, -10, 8],\n [0, -6, 1, -10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-413", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 6, -7, -10],\n [10, 3, -9, -4],\n [-2, 4, -9, 4],\n [-10, -1, -4, 1]]\nB =\n[[-1, 9, 7, 9, -10, -9],\n [-4, -7, 4, 4, -2, -10],\n [-2, 8, -2, -6, 7, 6],\n [-7, 3, -2, 1, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-4, 10, 7, -2, 8],\n [7, -7, 3, 1, -3],\n [3, 8, 4, -8, 4],\n [-9, 2, 2, 2, -2]]\nB =\n[[4, 9, -3, 10, 7],\n [3, 2, -5, 3, -6],\n [0, 7, -1, -9, 8],\n [-4, -1, -10, 0, -2],\n [-6, -7, -8, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 2, 5],\n [-6, 9, 5, 7],\n [-8, 10, -10, -3],\n [-10, -6, -10, 9],\n [5, 8, 0, -2]]\nB =\n[[-3, 8, -2, -8, -10, -9],\n [-7, -5, 4, 8, -2, -3],\n [-4, -6, -9, 3, 5, 5],\n [-2, -4, -10, 1, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1429", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -4, -5],\n [-8, 1, 8, -1],\n [-8, 3, 10, -10],\n [-5, -7, 3, -9],\n [2, 9, -2, 5]]\nB =\n[[2, 10, 2, 9],\n [-3, 0, -1, -1],\n [6, 7, 9, 2],\n [-10, -1, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 6, 8, -5, -2],\n [-8, -2, 8, 7, 10],\n [-7, -8, -5, -2, -6],\n [-5, -1, 7, -1, -6]]\nB =\n[[-8, 7, 9, 7, -5],\n [-3, -5, 3, 5, -2],\n [1, -1, 9, -6, -7],\n [1, 7, -3, 9, 3],\n [10, -7, 6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[9, 3, -6, -6],\n [7, -5, 3, 10],\n [-5, -10, 3, -6],\n [-7, 10, 5, 4]]\nB =\n[[9, 0, 1, 10],\n [-7, -1, 1, -1],\n [-6, 7, -5, 10],\n [-4, -9, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[10, -9, -3, 4, 2],\n [-4, -4, -3, 4, -3],\n [-1, -5, -7, -3, -7],\n [-7, -8, 7, 4, -2]]\nB =\n[[-4, 1, 0, 3, 6, 9],\n [-8, -10, 5, 1, 9, 1],\n [-4, -5, 4, -3, -4, -8],\n [9, 8, 5, 5, 1, 4],\n [3, -8, 10, -9, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 8, 2, 6],\n [3, 3, -1, 1, 9],\n [10, 1, -5, -6, -9],\n [2, -5, -10, 7, 8],\n [-9, 10, 10, 6, -5]]\nB =\n[[-4, -6, 3, 10, 3],\n [-1, -9, 1, -1, 6],\n [-6, -9, -6, -1, 3],\n [2, 9, -8, 5, 5],\n [-3, 10, 1, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-6, -7, 8, -8, 9, 7],\n [8, 0, -10, 10, -7, 8],\n [-3, 3, 10, -4, 5, -10],\n [-2, 2, 1, -8, 2, 3],\n [-4, 6, -4, -4, -3, -1],\n [-6, -6, 3, -7, -10, -4]]\nB =\n[[-3, -10, 5, -7, 5, -6],\n [-10, 1, 2, -10, -9, 5],\n [-8, 1, 1, 8, 3, 7],\n [-5, 1, 8, 3, 0, -8],\n [3, 1, -8, 7, -4, 3],\n [3, -5, 8, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -3, -7, -3],\n [10, -8, 2, -5],\n [4, 9, 3, -3],\n [-6, 6, 1, 3],\n [-3, -5, 8, 1],\n [-4, -1, -5, 1]]\nB =\n[[1, 9, 3, 4, 4, -1],\n [2, -8, -7, 2, 0, -7],\n [8, -5, 7, 8, 6, 4],\n [9, 3, -9, -6, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -2, 4, 10],\n [1, -4, 3, 8],\n [9, 9, 1, -9],\n [-3, -6, 2, -4],\n [-8, -9, -3, -10],\n [-4, -5, -10, -9]]\nB =\n[[-9, -10, -9, -2],\n [8, 7, 9, -5],\n [10, -8, 10, 10],\n [7, 1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-555", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -6, 6, 9],\n [8, -6, -8, 3],\n [-4, -8, 10, 1],\n [-1, 4, -5, -6],\n [1, 6, 7, 9]]\nB =\n[[7, 8, -8, -3, 9, -5],\n [-3, -2, -1, 3, -10, -9],\n [-5, -7, -2, 3, 0, 2],\n [-7, -7, -1, -5, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1850", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -8, 6, -1, 2, -1],\n [-2, -5, -6, 3, 1, -3],\n [7, -8, -6, -6, -1, 8],\n [-5, 8, -10, -9, -10, -1],\n [9, -1, 6, -5, 0, -4]]\nB =\n[[1, 3, -1, 7],\n [9, 4, 5, 4],\n [4, -6, -1, -8],\n [-1, -8, -3, -4],\n [7, 2, -7, -8],\n [8, 2, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1265", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-4, -3, 1, 8, 3, -5],\n [-10, 5, 5, -6, -5, -4],\n [-1, -6, 1, 6, -9, -6],\n [-2, 3, 0, -7, -1, 9]]\nB =\n[[10, 7, -3, -4, -6, 2],\n [-5, 3, 3, -4, 7, 2],\n [-9, 9, -5, -4, -4, 2],\n [8, 1, 7, 6, -2, -6],\n [10, -1, 1, 6, -7, -10],\n [-3, -3, -3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, 6, -10],\n [9, 4, -10, 0],\n [-2, 0, 3, 8],\n [-7, -1, 8, -7]]\nB =\n[[-10, -1, 8, -10, -7],\n [4, -2, 9, -8, -8],\n [6, 2, 8, -10, -2],\n [0, -2, -2, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-8, -1, 4, -3, 6, 9],\n [1, 1, 4, -4, -4, 7],\n [1, 8, -6, 4, -4, 4],\n [-3, 3, 1, -9, -7, 2],\n [-4, -4, 5, -8, -10, -7]]\nB =\n[[8, -1, 0, 6, -4],\n [-10, 3, 9, 0, 1],\n [-6, 8, -9, -7, 2],\n [-2, 3, -4, 0, -3],\n [2, 3, 10, 4, -8],\n [2, 2, -8, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 1, 5, 5, -10, -10],\n [-6, 4, -8, 4, -2, 7],\n [3, 6, -1, 7, 9, 10],\n [6, 5, -10, 2, -5, 6]]\nB =\n[[-3, 9, 8, 5, 1, -10],\n [-7, 10, 7, -3, 2, 1],\n [1, -2, -8, -10, 7, -9],\n [1, -8, 6, 8, -9, -2],\n [2, -7, 9, -5, -6, 10],\n [-4, 1, -1, 7, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -4, 1, 9, -2, 5],\n [9, 10, -8, 10, -10, -7],\n [-7, -4, -10, -10, -5, 5],\n [9, 2, -2, -8, 8, -8],\n [-2, -3, -3, 4, -4, 2],\n [8, -8, -6, 2, -7, -9]]\nB =\n[[-9, 6, -5, 10, 9, -7],\n [10, 9, 4, 5, 10, -7],\n [6, 4, -6, -6, -9, 7],\n [-2, -6, 8, 4, 8, 7],\n [-9, -3, 2, -2, 1, -9],\n [-4, -1, 2, -3, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 5, 9, -3, 8],\n [2, -7, 2, -8, -3],\n [1, 2, -2, 3, 3],\n [-10, 7, 4, 10, -3],\n [8, 10, -4, -5, 7],\n [-1, -6, -6, 4, 10]]\nB =\n[[5, 9, -8, 10],\n [-6, 2, 7, 6],\n [-4, 6, -1, 2],\n [-1, -5, -7, 10],\n [0, -9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, -3, -2, 2, -9],\n [10, 1, -9, -8, -7, -4],\n [6, 9, 1, 1, 4, -4],\n [8, -4, 7, 3, 3, 4]]\nB =\n[[-2, -9, 3, 10],\n [-8, 0, -9, -7],\n [0, -10, 3, 6],\n [-5, -7, 10, -3],\n [-10, 9, 8, 2],\n [8, -6, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 5, -9, -3],\n [2, 8, -3, 0],\n [2, 0, 6, 6],\n [1, 7, -2, -10]]\nB =\n[[-4, -8, 0, -2, 4],\n [-5, -8, 0, -6, -9],\n [-6, 5, -10, -8, 8],\n [6, -6, 4, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-463", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -5, -7, 0, -10],\n [-9, -10, 2, 4, 10],\n [-7, -10, -1, 9, -2],\n [4, 4, -10, 8, -6],\n [1, -7, 3, -9, 2],\n [8, -6, -9, 4, -8]]\nB =\n[[0, -7, 9, 4, -6],\n [-2, -6, -2, -1, 1],\n [3, 5, 1, 0, -5],\n [6, 9, -7, -2, 3],\n [-1, -9, 5, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, -8, 10, 7, 4],\n [-10, -8, -1, -2, 6],\n [10, -3, -1, -7, -4],\n [0, 10, 8, 3, 9],\n [10, -7, 6, -4, 1]]\nB =\n[[1, 10, 5, 6],\n [7, 10, -2, -8],\n [-9, -5, 0, 9],\n [-9, -10, 9, -5],\n [2, 10, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1593", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, -1, 3, 5],\n [5, -3, -2, -3, -5],\n [8, 9, 5, -8, -8],\n [3, -9, -3, 7, -4],\n [-10, -7, -9, 8, -8],\n [-4, -4, 3, 8, -5]]\nB =\n[[-4, 2, -7, 5, -4],\n [7, -4, -1, 10, -8],\n [3, -2, -4, -5, 3],\n [-9, -4, 3, -4, 10],\n [-1, 7, -2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-9, -9, -4, -2],\n [6, 3, -9, 8],\n [-3, -7, 8, -4],\n [10, 1, -10, 0],\n [-4, 9, -8, -5],\n [-1, -1, -8, 10]]\nB =\n[[8, 7, -6, -6, 4],\n [-10, 0, 9, 0, 6],\n [-7, -4, -3, -4, 7],\n [1, 9, -1, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, -2, 4, -3],\n [5, -7, -8, 0, 6],\n [-5, 2, -5, -5, 4],\n [2, 7, -7, -2, -10],\n [1, -10, 2, -8, -4]]\nB =\n[[10, 1, 2, 1],\n [10, 1, -5, -1],\n [10, -1, 0, 2],\n [-6, 3, -6, -5],\n [-2, 6, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -6, -1, -3],\n [-2, -1, -4, 4],\n [-5, -2, 3, -3],\n [-1, 3, -7, -1],\n [-6, 4, 3, 6],\n [0, -8, -5, -3]]\nB =\n[[8, 5, 7, -3],\n [-2, 7, -10, -9],\n [1, -8, 3, 6],\n [-6, 3, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -6, 5, 2, 3, -4],\n [-7, -6, -10, -6, -5, -9],\n [0, -6, 6, 2, 2, 6],\n [7, 5, -10, -2, 3, -5],\n [7, 6, -7, -5, 0, 8]]\nB =\n[[7, 3, -10, -6, -8],\n [7, -9, -8, -7, 1],\n [2, -6, 0, -3, 9],\n [6, -10, 7, -3, 5],\n [-4, -10, -4, -7, 6],\n [-6, -7, -10, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, -6, -3, -7, -1],\n [-4, -10, 7, 0, 6, -7],\n [2, 2, 1, 5, 6, -10],\n [10, 2, 0, 8, 5, 9],\n [-6, 9, 8, -4, 4, 2]]\nB =\n[[-1, 10, -8, -7, -9],\n [-8, 5, 4, 7, 8],\n [5, -2, 9, 3, 8],\n [3, -7, 2, -3, 1],\n [2, 7, 6, -9, -10],\n [-9, -3, -1, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 3, -5, 5],\n [8, 7, -1, 3],\n [-1, 9, 3, -10],\n [0, 4, -4, -6]]\nB =\n[[-4, -1, -2, -3],\n [-10, 9, 10, -2],\n [-4, -10, 0, 10],\n [0, 3, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[10, 10, -5, -8, 3],\n [-2, 8, -7, 9, -6],\n [7, 0, -6, -3, -3],\n [-7, 5, -2, -4, -5],\n [-5, 1, 7, 6, 5],\n [-2, 1, 6, 6, -2]]\nB =\n[[-5, -2, -8, -10, -2, -7],\n [5, 10, 5, 10, -3, -8],\n [5, 9, -3, 4, 8, 10],\n [-1, 0, 9, -2, -7, -5],\n [2, 9, -2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, -8, -7, 3, -8, -3],\n [2, 6, 9, 10, -4, -6],\n [9, 7, 8, 9, 7, 6],\n [-2, 1, -10, -10, 7, 7],\n [2, -3, -7, 0, -1, 0]]\nB =\n[[4, -8, 6, 0, 5],\n [-6, -4, -4, -9, -2],\n [0, 6, -7, -8, 0],\n [-10, 6, -5, 2, -9],\n [2, -6, -5, 9, 4],\n [2, 2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 2, -6, -8, 6],\n [10, 9, -1, 5, -7],\n [0, -5, -5, 1, -9],\n [-2, -5, 1, 4, -9],\n [2, -8, 2, -8, -8]]\nB =\n[[10, 7, -1, -5],\n [9, 1, -9, 2],\n [-4, 0, 9, -6],\n [-3, 10, 3, 9],\n [5, 8, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -2, -10, -3, 2, 0],\n [7, 1, 2, -8, 3, 4],\n [2, -3, 10, 7, 6, -9],\n [-9, 0, 5, 6, -10, -6]]\nB =\n[[-4, 1, 6, 10],\n [-2, 5, 9, 1],\n [-4, -10, 0, -3],\n [-3, 3, 2, 5],\n [8, 2, -5, -4],\n [2, -10, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -7, 7, 8, -7],\n [-3, -10, -8, -6, 2],\n [-2, -10, 4, 1, 5],\n [4, 7, 9, 0, 9],\n [2, -6, 7, 10, 1]]\nB =\n[[-4, 10, -7, 4, -7, 2],\n [6, -5, 4, -10, 3, 8],\n [6, 0, -2, -1, 4, -5],\n [-5, 4, -9, 4, -6, 1],\n [-1, 8, 3, -6, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-5, 8, -2, 2, -2, -4],\n [8, 0, 0, -9, 1, -9],\n [-2, 4, 8, -10, -1, -6],\n [-2, -8, 3, -5, -4, -1],\n [4, 7, -6, 7, -1, -2],\n [-10, -1, -7, 9, 1, 10]]\nB =\n[[4, 8, 5, 9, 5, -6],\n [-4, -10, 4, -10, -1, -6],\n [6, 6, -4, -1, -3, -7],\n [-5, 7, 10, -2, -9, 0],\n [-5, -8, -2, 3, 4, -6],\n [-6, -9, 3, -6, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 0, 4, 8],\n [3, 7, 2, 0],\n [5, 4, -6, 5],\n [-6, -5, -5, 10]]\nB =\n[[10, -9, 7, -2, 5],\n [7, 3, -8, 0, -6],\n [-10, -7, 4, 4, -2],\n [4, 2, 1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "783", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 9, 3, -4, 10, -8],\n [4, 8, 5, -9, 2, 5],\n [-10, -2, -2, -8, 5, 4],\n [9, -7, 8, 10, -9, -9],\n [3, -2, -9, 8, -7, 4]]\nB =\n[[6, 10, -7, 4, 6, 6],\n [-8, 1, 8, -2, 4, 0],\n [2, -10, 9, 2, -3, 10],\n [4, -8, 0, -10, -8, 5],\n [-3, -6, 3, 4, -9, 0],\n [0, 1, 9, 9, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2674", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[5, 0, -3, -10, -4],\n [-1, -8, 3, 5, 6],\n [6, 2, 9, 4, -1],\n [5, -6, -10, -3, 2]]\nB =\n[[6, -7, 7, 5, -9, 7],\n [0, -4, -10, 5, -9, -9],\n [-6, 6, 5, -1, -7, -5],\n [-4, 7, -7, -3, -10, -1],\n [6, -10, -2, -9, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-5, -1, 1, -8, 1],\n [9, 2, -4, -8, 7],\n [-9, 5, -4, 4, 4],\n [-2, -3, -1, 2, 2],\n [-6, -7, -5, 6, -4],\n [-8, 4, 4, -9, 7]]\nB =\n[[9, 0, 2, 10, -2],\n [-1, 4, 1, 4, -1],\n [-10, -3, 6, 6, -2],\n [-2, -10, 6, 10, -4],\n [-9, 2, -3, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -9, 2, -10],\n [-8, -6, 10, 10],\n [0, -6, 2, 5],\n [-3, -3, -8, -2],\n [10, 8, -10, -4]]\nB =\n[[-10, -6, 2, -1, 7, 10],\n [-9, 4, -1, -4, 4, 6],\n [0, 3, 6, 7, -6, 1],\n [-9, 6, 5, -7, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -6, 3],\n [-10, 1, -3, 3],\n [3, 1, -7, -2],\n [-7, 1, 9, -2],\n [-6, -8, -2, -1]]\nB =\n[[4, -4, 10, -10],\n [9, -8, 9, -5],\n [1, 8, 4, 0],\n [-2, 10, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -3, -9, -10, 1],\n [-8, -4, 10, 2, 10],\n [8, -2, 9, 0, -2],\n [10, 1, -3, 4, -1],\n [4, -2, -5, 4, -1],\n [-2, -9, 9, 1, 5]]\nB =\n[[4, 8, -2, 2],\n [-5, -5, -10, -7],\n [2, -7, 7, -2],\n [3, -9, -1, -2],\n [2, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "624", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 7, -1, -1],\n [10, -3, -3, 3],\n [-5, 6, 6, -4],\n [2, -10, -2, -4]]\nB =\n[[-2, 3, 8, -2],\n [-3, 6, 9, -3],\n [-7, 9, 9, -5],\n [9, 7, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, 7, -6, 9, 1],\n [-5, 3, 10, -7, -10, 3],\n [-2, -3, -1, -5, -2, 9],\n [-6, -4, 7, -1, 2, -3]]\nB =\n[[4, 0, -1, 5],\n [4, -5, -8, -1],\n [10, -6, -2, 5],\n [-8, 7, -1, 3],\n [-10, -7, 7, -4],\n [-10, -10, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -3, -9, -6, -7],\n [-6, 0, 9, 9, 3],\n [-6, -8, 6, 6, 6],\n [5, 10, -6, 3, -9]]\nB =\n[[5, 6, 5, -2, -7],\n [3, -6, 1, -6, 9],\n [7, -9, -10, 6, -1],\n [-10, -3, 1, 3, -4],\n [-1, 0, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1459", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -8, 4, 3, 8],\n [-2, -10, -5, 3, -3],\n [9, 10, -7, -8, -8],\n [-4, 10, -9, 6, 5],\n [10, 5, 3, 1, -6],\n [3, 5, 9, -5, -3]]\nB =\n[[0, -7, 2, -1, 1],\n [10, -9, -9, 5, -4],\n [9, 3, -4, -3, -5],\n [7, -8, 5, 0, -2],\n [6, 3, 8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[0, 10, 9, 6, -6, 6],\n [10, -2, 10, -1, -4, -3],\n [4, 9, 1, 2, 4, 7],\n [2, 1, -1, 6, 0, 3]]\nB =\n[[-5, 1, -3, -4, -5, 0],\n [5, 9, 10, 3, 2, -5],\n [-2, -4, -6, -4, 10, -7],\n [-7, 3, -5, -8, -1, -1],\n [-1, -3, 8, -5, -6, 4],\n [9, 5, 7, -3, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, -2, -8, -3, 0],\n [-10, -2, 6, 1, 5, -3],\n [-7, -8, 0, 4, -3, -7],\n [0, 4, -4, 4, 5, -6],\n [-1, 10, 3, 9, -3, 0]]\nB =\n[[7, -4, 5, 2],\n [5, -2, -5, 3],\n [10, 9, 3, 3],\n [5, 7, 5, -5],\n [4, 1, -3, -10],\n [3, -1, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-1, 8, -6, 4, 9, 8],\n [1, -2, 4, 7, -9, -9],\n [0, -7, 3, 1, -10, -6],\n [-3, 9, -8, -7, 8, -5],\n [10, -10, -2, 9, 10, -9]]\nB =\n[[-1, 7, 4, -10, -5],\n [-2, 8, 2, 8, -9],\n [-9, -5, 10, 7, 2],\n [-3, 1, 9, 8, -4],\n [2, -9, -6, 1, 8],\n [-3, 10, 8, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -9, 8, 10],\n [-2, -10, 6, 6],\n [10, 4, 4, 5],\n [-5, -6, -3, 9]]\nB =\n[[2, -9, 0, -9, 9],\n [-5, 7, -8, 0, -8],\n [-8, 2, 8, 0, 4],\n [-1, 7, -9, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -8, -2, -1, -10],\n [6, 2, 0, 3, -1],\n [-10, -4, -2, 1, -2],\n [1, 0, -6, -7, 5],\n [2, 10, 2, 5, 8]]\nB =\n[[4, 3, 2, 2],\n [-4, 3, -2, 5],\n [-2, 4, 3, -9],\n [6, 10, -1, -8],\n [2, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-8, 4, 4, -6, -8, 0],\n [-7, -2, 0, 2, -4, -6],\n [9, 6, 0, 0, 2, 2],\n [2, 1, -10, -10, 0, 3],\n [-7, 4, -7, 2, 1, -3]]\nB =\n[[9, -10, 0, 2],\n [0, 2, 3, 7],\n [-6, 5, -1, -9],\n [6, 4, 2, -2],\n [-6, -10, -3, 5],\n [5, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-8, -10, 5, 2, -5],\n [7, 0, -10, -5, -2],\n [9, -3, -10, -7, -7],\n [-7, 0, -3, -8, -5]]\nB =\n[[2, 1, -9, 7],\n [-7, -1, -8, -4],\n [-5, 8, -2, 3],\n [-5, -6, -2, -4],\n [9, 6, 10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[3, -10, 0, -3, 10],\n [-4, -9, 10, -8, 2],\n [-8, -6, 9, 9, 7],\n [-1, -8, 7, 5, -9],\n [10, 1, 2, -8, -4]]\nB =\n[[9, -3, 0, 6, 1],\n [4, 2, 2, 1, -2],\n [4, -6, 10, -3, 9],\n [2, 7, 9, 4, -6],\n [5, 1, -10, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 0, -8, 8, -5, -9],\n [7, -8, -7, 1, 10, -9],\n [8, -3, -9, 0, 0, 2],\n [3, 4, 4, -2, 7, 5],\n [-10, -10, 9, -4, -4, -1]]\nB =\n[[8, -5, -5, -2],\n [-10, 5, -7, -2],\n [4, -1, -4, -9],\n [-3, 0, -2, 5],\n [-4, -8, 0, -8],\n [-10, -2, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, 4, 1, 2, 10],\n [-10, 6, 2, -2, -1, -7],\n [-6, 7, -3, -6, -4, -10],\n [2, -6, 0, -3, 0, -4],\n [-9, 6, 5, 0, 3, 4],\n [-8, -1, 6, 3, -2, 5]]\nB =\n[[-10, -8, -4, 4, 5, 0],\n [-1, 1, -9, 1, 3, 9],\n [1, -10, 2, -6, -4, 3],\n [-2, -6, 7, 1, 2, 5],\n [-4, 9, 0, 8, -7, -2],\n [-6, -10, -1, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2475", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 9, -1, -1],\n [9, 6, 6, 10],\n [4, -10, 1, -5],\n [-9, 6, 0, 3],\n [7, 9, -8, 5],\n [0, -4, 7, 9]]\nB =\n[[4, 3, -3, 3, 3, -4],\n [3, 6, -7, 6, 8, 8],\n [7, 9, -9, -7, 8, 10],\n [7, 5, -5, 1, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 10, -8, -10],\n [9, -8, 2, 6],\n [-9, -4, -3, 4],\n [-7, -1, -5, 2],\n [-1, 0, -4, -2],\n [0, 5, 6, -3]]\nB =\n[[-6, -2, 6, 3],\n [-6, -9, 8, 2],\n [-8, 0, 8, -2],\n [5, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -6, -5, -6, -6, 0],\n [0, -7, 5, -3, -8, 7],\n [2, 2, 7, 5, 10, 3],\n [6, -2, 7, 9, 5, 3],\n [0, -6, 4, -4, 5, 3]]\nB =\n[[-2, 7, 10, -1, 7, -8],\n [-10, -10, -6, 4, -5, -10],\n [1, -8, 10, 8, -5, -8],\n [-8, 4, -8, 4, 7, -7],\n [-3, 10, 0, 1, -6, 10],\n [9, -5, 9, -3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -5, -2, 3, 10],\n [6, -7, -2, -3, 8],\n [1, -8, 3, -6, -6],\n [1, -2, -8, -7, 3]]\nB =\n[[-6, 8, 4, -2, -10, 2],\n [-2, 9, -5, -10, 8, -6],\n [5, 8, 2, -3, -10, 4],\n [1, 9, -5, 9, -2, 7],\n [8, 9, 3, 6, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -10, -4, 8, 0],\n [0, 2, 6, 7, -1],\n [-3, -9, -3, -9, -6],\n [-5, 4, -4, 8, -6]]\nB =\n[[10, 9, 4, -5],\n [8, -5, -6, 3],\n [-5, 3, -7, 6],\n [3, -1, 10, -3],\n [3, 9, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -5, -2, -8],\n [6, 0, 9, -6],\n [-9, -3, -6, -10],\n [4, -5, 9, -7],\n [4, 6, 9, 10]]\nB =\n[[-6, -10, 4, 2],\n [-6, 7, 1, -7],\n [-3, -8, 7, 8],\n [3, -10, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-9, 0, 10, -10],\n [-7, -1, -6, 1],\n [-4, -5, 4, -8],\n [8, 7, -2, 9],\n [-10, -5, -2, 10],\n [-10, -7, -5, 5]]\nB =\n[[-6, 5, 7, -6, -5, 1],\n [9, -3, 1, 9, 10, -5],\n [9, 3, -9, 0, -6, 9],\n [-6, 0, -4, 8, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-9, -5, 3, 0, -4, 0],\n [0, 0, 3, 9, 8, 10],\n [-3, -7, -7, -6, 10, -4],\n [0, -10, 3, 2, -9, 2],\n [-4, 6, -2, -5, -9, 4],\n [4, -6, -9, -7, 9, -10]]\nB =\n[[-4, 10, -4, 3, -7],\n [-3, -7, 7, 1, 4],\n [-9, -8, 1, 2, 7],\n [0, -1, 10, 10, -3],\n [-4, -1, 6, 6, -2],\n [10, -1, 5, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 9, -3, -10],\n [-6, 3, -5, -6],\n [-3, 5, 8, 8],\n [-4, 9, 3, -6],\n [4, -10, -9, -6]]\nB =\n[[2, -7, 3, -1],\n [6, 9, 9, -2],\n [8, 0, 9, 6],\n [8, -7, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, -3, 0, -10, 3],\n [2, 1, 1, 6, -9],\n [-8, -1, -1, -1, -8],\n [-3, 10, 7, 8, -6]]\nB =\n[[3, 9, -5, 6, 6],\n [-1, 6, -6, 5, 9],\n [0, -9, 3, 1, -4],\n [-3, 9, -5, 2, 1],\n [-3, 10, 9, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 4, 3, 10, 8, 2],\n [-4, 3, 7, 9, 2, 3],\n [3, -2, -3, 9, -3, 7],\n [1, -4, -4, 3, -6, -3]]\nB =\n[[5, -2, 8, -4, -8, 7],\n [-8, 4, 3, 6, -10, 3],\n [7, 5, 4, -5, -3, -6],\n [10, -9, -6, 6, 6, 5],\n [9, -5, -3, 7, -8, 10],\n [9, 10, 9, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "530", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-3, -10, -1, 2, 10, -8],\n [0, -10, -9, -6, -7, -5],\n [-2, -7, 10, -9, 0, -10],\n [2, 4, 2, 10, 8, 0],\n [-2, 2, -5, 2, -9, 1],\n [-8, 1, 7, -3, 3, -10]]\nB =\n[[-5, 4, 4, 7, -1],\n [-3, 0, -4, 0, 9],\n [-3, 8, -10, -8, 4],\n [-10, 7, 2, 7, 10],\n [5, 7, 4, -5, -9],\n [1, 10, 6, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-4, 4, 9, 10, -3],\n [4, 8, -7, 0, 0],\n [-3, 10, 2, 5, -10],\n [-5, -10, 3, -10, 6],\n [-8, 6, 0, -5, 7],\n [-2, -1, -5, 3, 2]]\nB =\n[[-1, 2, 6, 4, -8, 4],\n [5, -3, 10, -7, 3, -5],\n [-5, 4, 9, -9, -4, 4],\n [-10, 7, 8, 0, -10, -6],\n [-7, 8, -5, -3, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -9, 10, 8, 3, 4],\n [5, 8, 6, -2, -10, 3],\n [-6, 4, -5, 3, 9, -6],\n [0, 1, -2, -3, 3, -7],\n [8, 3, -6, 10, 7, -3]]\nB =\n[[4, 0, -4, -1],\n [3, -5, 6, -9],\n [-9, 3, 0, -5],\n [7, 3, 1, -1],\n [2, 0, -9, -9],\n [7, 3, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -8, 2, 1],\n [8, -9, 2, 6, 3],\n [-8, -4, -6, -3, 3],\n [-1, 3, -2, 4, 3],\n [0, 4, 1, -6, 10]]\nB =\n[[9, 3, -2, -4],\n [7, 10, -5, 5],\n [-4, -4, 8, -2],\n [10, -10, 6, 3],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "881", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 0, 8, 5],\n [5, 10, 3, 3],\n [-2, -9, -8, 0],\n [6, -5, -3, -9],\n [-1, -5, -8, -10]]\nB =\n[[-5, 6, -1, 7, -4, 7],\n [-6, 1, -1, -3, 9, 9],\n [-2, 5, 0, 3, -1, -5],\n [-6, 8, -10, -9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, 4, -9, -1, 3],\n [-10, 0, 10, 3, -9, -1],\n [-3, -7, -1, 6, 9, 0],\n [-6, 8, 5, 9, 5, -3],\n [0, -5, -6, -6, -9, 4]]\nB =\n[[-2, -10, 0, -1, -3, -2],\n [1, -10, 5, -2, -9, 5],\n [-4, -5, 4, -2, 2, -8],\n [4, 5, -5, 3, -2, -10],\n [-9, -3, 3, -5, -4, -3],\n [-7, 6, 1, -8, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 3, 6, -10, -10, -8],\n [0, 6, -2, 0, 7, 9],\n [10, -7, -6, 3, -5, 1],\n [5, 7, -7, -9, 10, 2],\n [-2, -5, 0, -9, 4, -1],\n [-10, 0, 10, -6, 6, 10]]\nB =\n[[-7, -2, 3, 10, -9, -10],\n [-8, 4, 1, -1, 1, 8],\n [9, 1, 3, -3, 10, 4],\n [-1, -7, 3, -9, 3, 6],\n [-1, 1, 3, -4, -7, -7],\n [7, -2, 10, -10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3163", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 0, -4, -1],\n [0, -6, -4, 10, 8],\n [10, 3, 7, -3, -8],\n [-8, -6, -2, 0, -1],\n [10, -3, 1, 4, -9]]\nB =\n[[2, -9, -10, 8],\n [10, 4, 0, -1],\n [-2, 3, -8, -8],\n [3, -9, -2, -5],\n [-4, 5, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-1, -1, -3, 2, -4],\n [-10, -3, -4, -6, -3],\n [0, 6, -3, 7, 8],\n [-1, 4, 9, -4, -9],\n [-4, -1, 5, -10, 0]]\nB =\n[[6, 10, 3, 9, -9],\n [-3, 4, -10, 5, -7],\n [-3, 5, 9, -5, -6],\n [6, -1, -5, 5, -4],\n [10, -3, -6, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -5, -1, -2, 6],\n [-6, 1, -5, 8, 10],\n [-3, -6, -1, 1, -3],\n [-7, -10, -2, 7, -7],\n [8, 6, 0, -8, -7],\n [8, 5, 6, 8, 5]]\nB =\n[[-7, -5, 3, 3, 1],\n [7, -4, 5, -8, -7],\n [4, 9, 1, -6, -1],\n [9, -4, 7, -1, -1],\n [-10, -8, -7, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 7, -10, 7, -8, 0],\n [2, -2, -2, 2, 8, -4],\n [7, -2, 5, 3, -8, 2],\n [7, 2, -8, -7, 0, 2],\n [0, -5, 9, 6, -8, -3],\n [-8, -6, 3, 8, -2, 9]]\nB =\n[[0, 1, -5, 5, 5],\n [-2, 7, -9, 3, -3],\n [-10, -6, -9, -7, -9],\n [7, 0, 10, 8, 2],\n [-3, -8, 8, -9, -2],\n [1, 7, 2, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2016", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -10, -5, -9],\n [-4, 1, -10, 9],\n [8, -8, -2, 3],\n [-2, -2, -1, -3],\n [0, 0, -4, -9],\n [1, -10, 8, -7]]\nB =\n[[9, 0, 0, -10],\n [2, -9, -9, -8],\n [7, 1, 10, 6],\n [7, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, -4, -5, 3, 6],\n [7, 8, -5, 8, -7, -1],\n [2, -5, 2, 6, 7, -7],\n [8, -6, -10, -8, -6, -9],\n [-8, 0, 10, -10, 7, 6],\n [-5, -9, -7, 6, 4, 8]]\nB =\n[[3, -5, -3, 1, 8, -10],\n [-9, -1, -7, 0, -5, 7],\n [-3, -8, 4, 8, 2, -10],\n [-7, -8, -4, -5, -8, 6],\n [6, 2, 4, 2, 3, -10],\n [-4, -3, -4, 0, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, -10, -5],\n [-6, -1, -5, -1],\n [-5, 2, -8, -3],\n [1, 9, -9, 5],\n [-6, 7, 10, -10]]\nB =\n[[6, 6, -8, -1, 6, 7],\n [5, -1, -3, -6, -5, 3],\n [-9, 2, 10, 7, -6, -2],\n [4, -7, 5, 3, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-383", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[7, 9, 2, -4],\n [-5, 8, 4, -5],\n [0, -10, -3, 0],\n [5, 4, -6, -3],\n [0, -8, -2, -3],\n [-7, -2, 1, 4]]\nB =\n[[6, 2, 4, 10, 6, 1],\n [4, -10, -2, -2, 8, 3],\n [-9, 6, 6, -9, -10, -4],\n [-8, 1, 3, -10, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-9, 0, 6, -3, -10],\n [-6, -4, 10, 10, -9],\n [10, 5, -6, 2, 0],\n [6, -4, 0, -7, -9]]\nB =\n[[-5, 1, -2, -10],\n [-4, -5, 3, -8],\n [10, -6, 2, 10],\n [2, -5, 0, 5],\n [-8, 9, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 1, -1, -6, 1],\n [-8, -7, -2, -1, -9, 5],\n [7, -5, 4, -9, 8, 1],\n [7, 9, 2, 5, 1, 0]]\nB =\n[[-6, 8, -1, 0],\n [-4, 3, -9, -7],\n [2, 10, 7, -3],\n [8, 7, 1, 7],\n [-5, -7, -9, -8],\n [-10, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-5, 6, 5, -4],\n [4, 3, 0, 0],\n [1, 0, 2, -4],\n [-5, 9, -1, 8],\n [8, -4, -10, -1]]\nB =\n[[-1, -5, 10, 7],\n [-5, 4, 3, 7],\n [-5, 3, 4, 1],\n [-3, -6, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, -10, 8, 9, -1],\n [5, 10, 6, -4, -8],\n [4, -3, 6, -3, 7],\n [-7, 0, 8, 9, -8]]\nB =\n[[1, -7, -8, 0],\n [8, 3, 9, 3],\n [2, -4, -3, -2],\n [-1, 7, 6, 9],\n [-9, 0, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -3, 8, -5, 8],\n [-3, -10, -10, 9, 9],\n [-3, 0, -7, 3, -2],\n [-4, -6, -1, 3, 10],\n [4, -9, -9, -10, 8]]\nB =\n[[3, 4, -4, -5, 1, 3],\n [-5, -9, 3, -6, 2, 10],\n [-6, -4, -7, 4, -5, 0],\n [-3, -9, -10, -8, 9, 5],\n [-10, -7, 8, 5, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -6, -3, -8, 5, 0],\n [0, -6, -9, -4, -10, 0],\n [3, 5, -6, 3, 4, -3],\n [1, -10, 8, -7, 10, 10]]\nB =\n[[4, -10, -3, -5, 8],\n [-2, 6, 1, 1, 2],\n [0, -4, 9, 5, 5],\n [9, 6, -9, -2, -4],\n [-7, 5, -4, -9, -1],\n [10, -3, 1, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1072", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 2, -8, -9, 9, 10],\n [-9, -9, 4, 0, 0, 1],\n [7, -7, 3, 3, -3, 3],\n [-10, 1, 5, 1, 3, 3],\n [-10, -5, -8, 9, -5, -8],\n [-6, 10, 0, 10, 6, 2]]\nB =\n[[10, 7, 4, -8],\n [-9, 5, 1, -6],\n [1, -9, 7, -1],\n [-8, -7, 10, -2],\n [-2, 8, -10, -6],\n [-6, -9, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 2, -8, 5],\n [4, 9, 1, 0],\n [-10, -10, 10, -1],\n [7, -5, 1, -6],\n [-5, -2, -3, -3]]\nB =\n[[10, 10, -8, 5, 7],\n [2, -4, 3, 6, -4],\n [0, -10, 1, -9, -3],\n [-5, 2, 5, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 8, 7, 4, 4],\n [8, -8, 1, -8, -9],\n [-6, 6, -9, -6, 1],\n [8, -6, 3, -1, 2]]\nB =\n[[-10, -3, 9, -1, -7, -5],\n [4, -7, -8, 9, 9, -6],\n [-10, 2, -7, 5, 8, -9],\n [-4, -5, 10, -2, 1, 10],\n [7, 4, 2, -3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -9, -10, -7],\n [2, -5, -4, -10],\n [-1, 10, 8, 8],\n [5, 6, -2, 8],\n [7, 8, -2, 9]]\nB =\n[[10, -4, -9, 4],\n [-4, -4, 5, -4],\n [-1, 9, -8, -6],\n [3, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -2, -1, 2, 10, -8],\n [2, 10, -10, 6, 7, 5],\n [-4, 6, -10, 6, 2, -8],\n [9, 5, -2, 3, -6, -5],\n [2, 1, -4, -3, -6, 3]]\nB =\n[[-10, -6, -6, 8, 0, -6],\n [-10, 5, -5, -7, 9, -4],\n [-1, -4, -10, -4, 8, -8],\n [10, 9, 7, 8, 10, 9],\n [-2, -4, -1, 9, 10, 9],\n [-4, 6, -9, 6, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -5, 6, -6, -3],\n [6, 3, 4, 10, 3],\n [0, 10, 1, 5, -2],\n [5, -4, -5, 7, 9],\n [-6, -9, -5, 10, 0]]\nB =\n[[10, 1, -1, 9],\n [1, -7, -6, -9],\n [4, 8, -1, 3],\n [3, -6, 2, 2],\n [-6, -6, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -4, -10, 4, -2, -5],\n [5, -5, 4, 5, -8, 0],\n [9, 3, 4, 5, 7, 3],\n [6, 2, -4, 4, 1, -6],\n [2, -3, -7, -1, 1, 7]]\nB =\n[[-3, 2, 8, -2],\n [-4, -5, -9, 2],\n [9, -3, 2, 2],\n [-6, -9, 1, -8],\n [-5, -8, 8, 1],\n [0, 1, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1203", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 2, -1, -5],\n [0, -5, -6, 8],\n [-7, 4, 2, -6],\n [2, 10, 3, -8]]\nB =\n[[-5, 8, 9, 5, -10],\n [9, 0, 3, -5, -8],\n [0, 2, -2, -7, -3],\n [-6, 10, -9, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 9, -9, 10, 5],\n [10, -9, 2, 8, 7],\n [10, -6, 9, 7, -2],\n [-9, 7, 0, 2, 1],\n [1, -3, -1, 1, -1]]\nB =\n[[9, 7, -8, -3, -4],\n [9, -7, -3, -8, 6],\n [-4, 7, 1, -9, 1],\n [5, 7, 3, -7, -3],\n [0, -6, -10, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-1, 1, -6, 0],\n [10, 0, 0, 5],\n [-7, -4, 0, 2],\n [-7, 2, -9, -9],\n [-6, -6, 1, -9]]\nB =\n[[8, -3, -5, 10, -7],\n [-3, 5, -2, -4, 8],\n [0, 2, -5, 2, -9],\n [-1, -6, 10, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -9, 5, -10, 4],\n [3, -6, 8, 5, -1],\n [3, 4, 6, 2, 2],\n [8, -5, 10, 4, -10]]\nB =\n[[-4, 8, -4, 9, 8],\n [4, -1, 8, 10, 3],\n [6, -8, 6, 5, -9],\n [0, 5, -9, 9, 3],\n [8, -2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "806", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -3, -7],\n [8, 3, 9, 10],\n [5, -8, 1, -9],\n [-6, 1, -10, 1],\n [1, -9, 1, -8]]\nB =\n[[-2, 7, -4, 2, 8, -4],\n [10, -4, 6, -3, -2, -2],\n [-7, -9, -2, 7, -1, 6],\n [-3, 5, -6, -3, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1731", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -10, 3, 2, -2],\n [-4, 9, -8, 4, 2],\n [-5, 9, -5, -8, 9],\n [8, -9, 2, 8, -2],\n [9, 4, 7, 0, -10]]\nB =\n[[1, 0, -8, -7, 6],\n [-7, -6, -6, -1, 10],\n [-1, -4, -9, 4, 4],\n [-3, 4, 7, 4, -6],\n [0, 2, -4, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1316", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 1, -8, 5],\n [9, -10, -9, -5],\n [-6, 0, -9, -6],\n [5, 3, 8, -6],\n [6, -4, 2, -4],\n [-3, 0, -1, -6]]\nB =\n[[-3, 1, 3, -5, 8, -3],\n [-6, 5, -7, -3, -3, 0],\n [-8, 6, -10, -10, 10, -5],\n [-4, 3, 2, 4, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 10, 1, 7],\n [3, 5, 6, -7],\n [8, 1, 4, 6],\n [1, 9, 6, 2],\n [10, -5, -6, -5]]\nB =\n[[6, -7, 6, -9],\n [5, 5, -7, 9],\n [-9, -9, 8, -1],\n [-1, 7, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, -7, 7, 7],\n [5, 1, -6, -4],\n [-10, -4, 7, 10],\n [9, 3, -6, 3],\n [-1, 9, 3, -1],\n [-9, 8, 2, -4]]\nB =\n[[-8, 9, 0, -5, 7, -10],\n [-2, -2, -9, 1, -1, -6],\n [0, 2, 7, -9, -7, 6],\n [-3, 1, 8, 5, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -9, -7, 6, 4],\n [7, 10, -7, 0, 6],\n [2, -9, 7, 0, 4],\n [3, 2, -10, 8, -1]]\nB =\n[[4, 5, -2, -6, -7, 4],\n [7, 9, 2, 7, 9, -10],\n [8, 4, 2, -9, -5, -3],\n [-6, 5, 10, 8, 10, 2],\n [1, -4, -5, 1, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 2, 10, -1, 3, -10],\n [4, 0, 8, 6, -8, 5],\n [-5, -4, -5, -2, 0, -5],\n [6, 3, 5, -9, 10, -6]]\nB =\n[[7, -10, -4, -7],\n [-8, 7, 8, 2],\n [-8, 4, 10, -3],\n [0, -9, -8, -4],\n [-7, -7, -2, 2],\n [2, 6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -6, 1, -3, 3, -2],\n [-5, 9, 4, -3, -9, 2],\n [-5, -9, 5, 6, 7, -5],\n [8, -7, -9, 0, 10, 3]]\nB =\n[[-4, 0, -1, -2, -2, 1],\n [-1, 0, -7, 4, -6, 1],\n [-1, 7, -5, -9, 6, -9],\n [9, -6, 9, -7, 1, -4],\n [-3, 0, 5, 0, 6, 8],\n [5, -9, -8, -6, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 9, -2, -9, 5],\n [-6, 8, 1, 3, 8],\n [9, 0, 6, -4, -8],\n [-7, -4, 7, -4, -8]]\nB =\n[[-2, 9, -6, 10, -6],\n [-5, -1, 1, -7, 7],\n [-6, -10, -5, 7, -8],\n [10, -2, 6, 7, 6],\n [-7, -4, 2, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 1, 8, 8],\n [7, -7, -9, -1],\n [10, -7, 9, 5],\n [8, 4, 4, 0]]\nB =\n[[6, -2, -3, 10, 3, -6],\n [6, 4, -5, -5, -1, -7],\n [-4, 5, -5, -4, 1, -7],\n [9, -6, 9, -3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, -7, -9, -8],\n [-6, 2, 7, 0],\n [9, -5, -1, -6],\n [-9, -2, -9, 0]]\nB =\n[[4, -1, 8, -3],\n [-7, 6, 0, 10],\n [-5, 0, -5, 8],\n [6, -2, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 3, -8, 9],\n [-9, 4, -5, 8],\n [0, -5, 4, -5],\n [3, -2, 1, 2],\n [9, 4, -7, 6],\n [0, 3, 2, -3]]\nB =\n[[8, -1, 3, -8],\n [-9, 9, 0, 9],\n [-7, 4, -8, 5],\n [1, 0, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, -5, 3],\n [7, 8, -9, 7],\n [-6, -2, -8, 2],\n [9, 2, 4, 5]]\nB =\n[[-2, 10, 7, -1, -9],\n [-8, -5, -2, 5, -4],\n [-5, -4, -3, -2, -10],\n [0, 5, 10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -2, -10, -10],\n [-1, -6, 8, 8],\n [9, 10, 0, -5],\n [-9, -1, -5, 8]]\nB =\n[[-8, 3, 5, 4, -8, 6],\n [-9, -3, -5, -7, 10, -8],\n [3, -8, -8, 2, 9, -5],\n [-1, -5, 3, 4, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1609", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -1, -4, 3, -5],\n [-9, 4, 4, -6, 10],\n [-1, -5, 9, -5, 5],\n [-8, 1, 5, 9, -5],\n [10, 0, 1, -5, 9],\n [-3, 6, 7, -9, 8]]\nB =\n[[10, 2, 5, -9],\n [4, -9, -8, 10],\n [7, 4, -8, -9],\n [1, -7, 6, -10],\n [10, -9, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, -9, -8, -8, 8],\n [7, 0, -3, 9, 3],\n [9, 10, 3, 1, 8],\n [5, 6, -2, 4, 6]]\nB =\n[[-6, -7, 7, 10],\n [-2, 10, -9, 10],\n [7, 4, 6, 4],\n [3, 5, 6, 1],\n [-6, 2, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -5, -4, -4, -8],\n [9, 3, -4, -9, 0, 8],\n [3, -7, 10, 2, 10, 1],\n [2, 10, -9, -9, 5, 2],\n [2, 10, 7, -8, 4, 10]]\nB =\n[[-8, -8, -3, -5, 4, -8],\n [-6, 3, 4, 0, -6, -10],\n [-3, 1, 7, -4, -6, 4],\n [-6, 8, 8, -8, -9, -8],\n [7, -9, 3, 0, 9, -4],\n [-1, 4, 6, -8, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 1, 6, -3],\n [-6, 5, 1, 6],\n [1, -5, 3, -3],\n [-5, 4, 2, 3],\n [-10, 3, 3, 0]]\nB =\n[[-1, 4, 1, 8, 8, -5],\n [5, -5, -1, -3, 4, -2],\n [8, -6, 8, -4, 6, -9],\n [8, 10, 1, -5, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -9, 9, 5],\n [-5, -6, 9, -5],\n [1, 6, -8, 4],\n [9, -6, 4, 10]]\nB =\n[[1, 6, -9, 3],\n [2, 0, -8, 5],\n [-4, 6, 8, -7],\n [6, 7, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[9, 2, -3, 3, -6],\n [-7, 10, 8, 8, -3],\n [-3, 4, 8, 4, 5],\n [0, 5, 7, 7, -5],\n [6, -10, -6, 6, 9]]\nB =\n[[8, 0, 7, 3, 4, -1],\n [-4, 1, 5, -2, -4, -3],\n [-9, 7, -8, 10, -6, 3],\n [7, -10, 6, -6, 8, -1],\n [0, -7, -2, -10, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1796", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[5, 1, 0, 5, 3, 10],\n [-8, 1, 6, 3, 1, 9],\n [-7, -9, 7, 10, -1, -4],\n [-1, 0, 10, -1, 0, 9]]\nB =\n[[6, 3, -10, -3, 9],\n [1, 10, 8, -1, -6],\n [6, 7, 0, -9, 10],\n [-2, -6, 3, 0, -3],\n [-10, -9, 2, 5, -2],\n [-5, 9, 10, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 3, 9, 8, 9],\n [6, -4, -5, 8, -5],\n [-10, -9, 7, -8, 5],\n [-8, 6, 9, 0, -9]]\nB =\n[[-9, 9, 10, -8, 3],\n [-4, -2, -7, -2, 1],\n [2, 5, -7, 6, 8],\n [-3, -4, 9, 1, 4],\n [-10, 8, -4, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 4, 5, -4, -2],\n [-1, -6, 2, 0, -6],\n [-1, 10, 8, 1, 2],\n [1, 8, 0, 1, 7],\n [6, 5, -5, -10, -2]]\nB =\n[[9, -6, 4, -1, 5, 10],\n [-5, -5, -7, -4, 7, -5],\n [-6, 4, 7, -7, 1, -1],\n [-3, -6, -10, 9, -1, 10],\n [7, -4, -6, -1, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-522", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -7, -7, 4, -4, 2],\n [1, 9, 3, -3, 10, -9],\n [0, -3, 0, 10, 0, 0],\n [4, -3, 3, 0, -8, 6],\n [-7, 0, 0, -9, -10, 5]]\nB =\n[[-10, 0, 9, -6, 8, -9],\n [8, -6, 7, -6, -5, 3],\n [-4, 0, 8, 9, -6, -7],\n [6, -7, -2, 2, -3, 9],\n [-3, 5, 10, 7, -4, -3],\n [0, -4, 7, 1, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -3, -7, 10, 8, 10],\n [-7, 5, -6, -1, -10, 6],\n [-6, 1, -7, 3, 2, -7],\n [-4, -8, -7, 6, 8, -2]]\nB =\n[[-7, 10, 8, -8],\n [-8, -2, -5, 10],\n [10, -3, -6, -4],\n [-10, 0, -3, 10],\n [8, -5, -1, -4],\n [-1, 6, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[9, -5, -2, -4],\n [7, 3, 9, -6],\n [-1, -3, -4, 8],\n [6, 2, -8, -8],\n [-10, -6, -2, -9]]\nB =\n[[-7, 5, 6, -5, 3, 2],\n [-4, -1, -4, -10, -4, -2],\n [0, 0, 1, -7, 10, 6],\n [9, -10, -8, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -9, 10, 0, 1, -8],\n [8, 1, -8, 8, 4, 6],\n [3, 5, 6, -10, -2, -1],\n [-6, -9, -3, -7, 10, -1]]\nB =\n[[-3, 4, 4, 10],\n [8, 5, 1, -10],\n [2, -9, 0, -10],\n [6, 9, 3, 7],\n [-6, -6, 6, -3],\n [-1, 7, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-309", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -4, 8, 4, -9, 4],\n [-10, -4, -7, 10, -2, 4],\n [5, -6, -3, 6, -6, -3],\n [-8, -5, -6, 0, 6, -10],\n [1, 3, 1, 3, 10, -1],\n [0, -9, 8, 5, -3, 2]]\nB =\n[[4, 8, -4, 8, -1, -2],\n [5, -5, -3, -5, -5, -8],\n [-3, -7, -10, 9, -2, -9],\n [-10, -3, 4, -1, -7, -1],\n [5, 0, 10, 8, 5, 5],\n [-5, -6, -3, 0, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2422", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -2, 0, 4],\n [-10, -1, -9, 1],\n [-7, 3, -7, -8],\n [-5, -6, -9, -3],\n [3, 9, -8, -10],\n [-9, 3, -4, 9]]\nB =\n[[9, 4, 9, -4],\n [5, -3, 1, 8],\n [9, -8, -9, -10],\n [-7, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 2, -3, 6, 6],\n [-6, 0, 9, -2, 8],\n [-1, 5, -8, -1, -8],\n [-2, -8, -4, 1, 10]]\nB =\n[[-10, -5, -1, -10, 0],\n [-10, 8, -3, 2, -1],\n [-9, -1, 6, 5, -8],\n [9, 10, 9, -5, 2],\n [-8, 7, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[9, -1, -6, -4],\n [6, 3, -4, -9],\n [-9, -7, 2, -7],\n [-1, 0, -1, -4],\n [-10, 9, 7, -8]]\nB =\n[[-7, 7, 6, -3, 6],\n [0, -6, 4, 6, -2],\n [1, 4, 5, -8, -5],\n [-6, 0, -4, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 10, 8, 4],\n [-8, 7, -6, 3],\n [9, -2, -10, 4],\n [-7, 3, 0, 0],\n [1, -7, 9, -3]]\nB =\n[[8, -4, 0, -4],\n [2, 9, -4, 7],\n [10, 9, -3, -5],\n [9, -3, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -8, 2, -8, -7, 1],\n [0, 2, 3, -8, 3, 6],\n [4, 8, -4, -8, -6, -5],\n [2, 5, -3, 6, -2, -3],\n [8, -3, 0, -8, -4, -7],\n [4, 4, -7, 10, 0, -10]]\nB =\n[[5, -9, 6, 6, -9],\n [3, 9, 2, -10, 10],\n [-6, -1, -5, 1, 2],\n [5, -7, 0, 3, -9],\n [10, -10, 0, -1, -8],\n [10, 7, -10, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 4, -8, -1],\n [5, 10, 0, 7, 9],\n [3, -9, -2, -2, -4],\n [-3, -3, 8, 1, 1],\n [4, -9, 4, -10, 3]]\nB =\n[[-10, 1, 9, 2, -8, 7],\n [-8, 9, 5, -4, 3, -2],\n [0, -3, 5, 2, 10, -8],\n [-5, -1, -8, 2, 6, -4],\n [8, 9, 10, -3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 2, 6, 2, 6],\n [-5, -3, 6, -10, 3],\n [3, 7, -3, 8, -3],\n [10, -3, 6, -8, 8]]\nB =\n[[-3, -4, -4, 5, 10],\n [-10, -8, -5, 3, -2],\n [9, 10, -6, -8, 6],\n [-1, 9, 6, 5, 6],\n [9, 6, 9, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[7, 3, 9, 1, -10],\n [-7, 5, -7, -4, 8],\n [-9, 9, 6, -8, -1],\n [-7, 2, 0, 0, 3],\n [-5, -1, -7, -2, 9],\n [2, 9, 5, -10, -8]]\nB =\n[[-7, 6, 5, -9, -3],\n [-4, -2, 2, -3, 10],\n [-9, -5, 7, -10, 0],\n [-3, -5, -1, 6, -2],\n [2, 0, 7, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, 5, 2, 10, 6],\n [-2, -5, -1, -9, 4, 1],\n [8, -9, -10, -1, 6, 0],\n [-10, -9, 3, 9, -7, 8],\n [9, 3, -8, 1, -1, 8]]\nB =\n[[-9, 8, -3, -2, 1],\n [4, -10, 1, -4, -8],\n [1, -3, 7, 10, 0],\n [8, 2, -2, -5, -3],\n [-6, -7, -4, -5, 5],\n [-3, -5, 8, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -8, 5],\n [8, 9, 0, 2],\n [-8, 3, -5, 2],\n [9, 9, 5, 5],\n [4, 3, -8, -6]]\nB =\n[[-3, 9, 1, -3],\n [-2, -1, -6, 1],\n [-6, -7, 10, -5],\n [-9, -2, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1146", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, -5, 10, 7],\n [2, 10, -5, -1, 7],\n [-7, -7, -2, -5, 5],\n [4, 7, -3, 5, -2],\n [10, 4, -9, -7, -7]]\nB =\n[[2, 1, 6, -8, 0, -7],\n [-7, 6, 6, 9, 3, -2],\n [8, 10, -9, 5, 6, -7],\n [9, -8, -2, 4, 6, 4],\n [-6, 9, 6, -3, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, -6, -7, 1],\n [-4, 6, 6, -5, 8],\n [0, -8, 8, -7, 4],\n [4, 5, -8, 5, 3],\n [4, 9, 3, -7, 1],\n [-3, 3, -4, -9, 3]]\nB =\n[[-10, -9, 7, -1],\n [3, -8, 1, 10],\n [4, 0, 0, -9],\n [-5, -8, 8, 3],\n [2, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1846", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[5, -1, -2, 5, -3, -6],\n [-7, 10, -4, 4, 4, -4],\n [1, 9, 7, 3, -4, 4],\n [-8, 3, -7, 5, -10, 2],\n [-4, 8, 5, -1, 7, -2]]\nB =\n[[-8, 8, 9, 3],\n [1, -3, 4, -7],\n [8, 5, -4, -1],\n [1, -4, 4, 8],\n [4, 5, 5, -1],\n [10, -10, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, -4, -7],\n [-10, 2, 2, -1],\n [8, -9, 0, 5],\n [4, -2, -3, -3],\n [-2, -3, 7, 5]]\nB =\n[[9, 0, -1, 6, -6, -10],\n [6, 4, 5, -4, 4, 1],\n [-6, 2, 7, -10, 7, -6],\n [0, -9, -8, -5, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 3, 10, -5],\n [-7, -8, -5, -8],\n [3, 7, 0, 3],\n [8, 7, -2, 10],\n [3, 9, -5, -5]]\nB =\n[[-2, -2, 3, -3],\n [3, 6, 2, -7],\n [7, 6, 2, -1],\n [-6, 3, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, -1, -3, -1],\n [8, -8, 2, 7],\n [-5, -3, -10, 3],\n [-3, 1, -4, -4],\n [-4, -5, 7, -4],\n [-3, 10, -8, 2]]\nB =\n[[5, -1, 2, -5, 3, -9],\n [-3, -10, -4, -1, -4, 4],\n [-4, 5, -4, -10, 4, -8],\n [-1, -6, -4, 2, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 5, 8, 8, -1, 9],\n [-9, -2, -5, -9, -1, 8],\n [5, 9, -2, 4, -7, 7],\n [6, -6, -4, -5, -3, 6]]\nB =\n[[-9, 6, 8, 8, -6, -1],\n [4, -2, -7, 4, -6, -9],\n [-5, -6, -4, -9, -5, -9],\n [-6, 8, -3, 9, 2, -5],\n [6, 0, 0, 9, 9, -7],\n [6, 8, 2, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -4, 7, -10],\n [9, 10, 1, 9],\n [-9, 1, 8, 9],\n [3, -8, 5, 1],\n [-9, 6, 6, 10],\n [-6, -7, -8, -7]]\nB =\n[[-9, -10, 5, 4],\n [3, 4, -9, -2],\n [0, -2, -2, 7],\n [1, 2, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 6, -1, 1, -1],\n [-10, 0, 10, 4, 10],\n [1, -3, -9, 2, 5],\n [-8, 5, 0, -10, 3]]\nB =\n[[-8, 6, -10, 0, 7, 1],\n [5, 9, -6, -9, 10, 8],\n [9, 6, -4, 4, 6, 10],\n [-2, -6, 9, 3, -5, 3],\n [4, -5, 9, -2, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-9, -5, 9, -7, 6, 9],\n [8, 3, -2, 3, -10, 6],\n [5, 5, 6, -4, 1, -3],\n [0, -6, -3, 10, 6, -10],\n [4, -2, 7, 5, 7, -10],\n [-3, 6, 8, -6, 1, 2]]\nB =\n[[2, 7, 4, 3],\n [-8, -4, 10, 1],\n [10, 5, -5, 2],\n [6, -9, 4, 10],\n [5, 6, -9, -4],\n [-7, -5, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 7, 2, 6, 4],\n [8, 9, -3, 5, 7],\n [8, 10, -10, -10, -2],\n [5, 6, 5, -8, -7],\n [-5, 9, -2, -10, -7],\n [1, 2, -10, -6, -1]]\nB =\n[[6, 9, -2, 0, -1],\n [2, 10, -9, 8, -2],\n [-7, 10, -7, 3, -6],\n [-1, -6, 2, 4, 4],\n [-4, 3, -4, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1942", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 3, 5, 10, 1, 5],\n [9, 0, 2, 1, 4, 0],\n [2, -4, 4, -4, -7, 9],\n [8, -4, -8, -8, -8, -2],\n [-8, -6, -2, 3, -7, -2],\n [8, 7, 1, -9, 9, 5]]\nB =\n[[0, -10, -7, -9, 10],\n [9, -9, 5, -3, 3],\n [-8, 3, -6, 6, 9],\n [-10, -4, 9, -5, -6],\n [7, -8, -2, 4, 3],\n [-4, 9, 2, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2682", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -7, -7, 6],\n [1, 9, -1, -5],\n [-5, 9, -4, -8],\n [-4, -4, -2, -7],\n [-7, -7, 4, -9]]\nB =\n[[5, -2, -3, -10, -2, 8],\n [3, -5, -10, -6, 5, 5],\n [-2, -10, -7, 8, -1, 2],\n [9, 10, 10, -3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[0, 10, 0, 2, -9, -9],\n [3, -5, 1, -6, -6, -10],\n [9, -4, -1, 2, -6, -6],\n [2, -7, 4, 3, -10, 10]]\nB =\n[[-1, -9, 1, 8, -1, -5],\n [-7, -9, 1, 2, 5, 1],\n [3, 10, -5, -1, -2, -1],\n [-9, -1, 8, 2, -4, -7],\n [-4, 0, 5, 1, 5, 6],\n [-2, 0, 4, 5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-8, 0, -10, 8],\n [-6, -10, -9, -3],\n [3, -2, 4, -8],\n [5, 1, 4, 4]]\nB =\n[[3, -8, 4, 5],\n [9, -2, 1, -4],\n [2, -7, 0, 2],\n [5, 8, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 7, 0, -4, 1, -5],\n [-7, -10, 0, 9, -3, 3],\n [-5, 5, 7, 6, 6, 8],\n [6, 7, 3, 9, 7, -8]]\nB =\n[[-5, 8, -1, -1, -6, 5],\n [-5, 1, 4, -3, -2, -4],\n [10, 0, 5, -6, -5, -10],\n [8, -1, 0, -1, 9, -10],\n [4, 8, -1, 6, 2, -1],\n [-3, -8, -2, 7, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -8, 3, -7, 0],\n [9, 1, 8, -2, -3],\n [3, -7, -8, 9, -4],\n [-10, -4, -3, -8, 6]]\nB =\n[[1, 2, 7, 6, -7],\n [-6, -8, 1, -6, 4],\n [-10, 7, 8, -8, 8],\n [-7, -6, -6, 3, 6],\n [-5, -6, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 2, 0, 0],\n [3, -9, -6, -9],\n [4, -1, -3, 9],\n [1, 2, 8, 4],\n [-10, -3, 10, 1],\n [-3, 5, 2, -9]]\nB =\n[[-8, 4, 6, -9, 10],\n [-6, -6, -4, 1, 9],\n [-8, 4, -8, 5, 10],\n [5, -10, 10, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1711", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 4, -3, 1],\n [1, 0, 6, -10, 10],\n [-5, -5, 1, 0, 6],\n [1, -8, 1, 3, -7],\n [9, 7, 6, -5, 9]]\nB =\n[[-2, 10, 7, 1],\n [-5, -10, -4, 6],\n [10, 1, 10, 7],\n [-4, 3, 5, 3],\n [5, 5, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "719", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, 4, -2, -3],\n [10, 1, -10, 6, -9],\n [6, -8, -10, -2, -8],\n [-4, 10, 0, -4, -6],\n [4, -8, 6, 2, -3]]\nB =\n[[-2, 0, 3, 8, 4],\n [3, 5, -9, -8, -8],\n [-6, -2, -4, 8, 6],\n [-9, 9, 4, 5, -6],\n [3, 10, -8, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -9, -1, 1],\n [-9, -2, -1, -4, -4],\n [-7, 4, 9, -5, 0],\n [-1, -8, -6, 7, -7],\n [4, -8, 9, -4, 6]]\nB =\n[[-1, 7, 3, -8, -10, 3],\n [1, -6, -1, -3, -5, -2],\n [-8, -8, -1, -9, -2, -6],\n [10, 3, 9, 1, 8, -7],\n [-5, -1, -9, -10, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2074", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -10, 4, 5, -5, 3],\n [-9, -2, 2, -8, 4, 4],\n [2, 2, 4, -9, -8, -9],\n [6, 3, 9, 4, -2, 7]]\nB =\n[[-4, -9, -1, 2],\n [-3, -3, -1, -1],\n [-8, -5, 10, -7],\n [4, -4, -1, 7],\n [-6, 3, 9, 10],\n [-8, 7, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-412", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[0, -8, 10, -4, 1],\n [-5, 3, 4, -3, 1],\n [-7, -7, -6, -9, -3],\n [-4, -2, 1, 0, -7],\n [2, 3, 2, 4, 1],\n [-4, -2, -7, 3, -4]]\nB =\n[[8, 2, -10, 5],\n [-8, 4, 8, 2],\n [0, 10, 8, -6],\n [3, 8, -4, -3],\n [6, -6, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 3, -9, -5, -3],\n [-10, -9, 1, 2, 1],\n [-9, 0, -10, -9, -2],\n [4, 6, -4, -10, -6]]\nB =\n[[-8, -10, -6, -1],\n [-1, -9, -2, 3],\n [-7, 0, -1, 6],\n [-1, 9, -6, 3],\n [8, -8, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1214", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -4, -6, -5, 7],\n [6, -5, 9, -3, -7],\n [-3, -5, 7, 7, 7],\n [-9, -7, -2, 4, -9],\n [-4, -1, -2, 5, 3]]\nB =\n[[4, 8, -5, -4, 8, -6],\n [2, -2, 7, -10, -5, 7],\n [-3, 0, 5, 9, 2, 3],\n [-10, -8, 4, -1, -5, 6],\n [-4, 9, 1, -6, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 6, -5, -2, -7, 7],\n [-5, -2, 3, 10, -5, 1],\n [-2, 3, 1, 7, -2, 9],\n [-2, 3, 10, -9, 9, -9],\n [-5, -8, 3, 5, -8, 3],\n [2, 9, -2, 7, 7, -7]]\nB =\n[[2, 6, -7, 10, -9, 5],\n [7, -3, -4, -9, -5, -8],\n [4, -5, -5, -3, 9, -5],\n [-1, 8, -1, -2, -6, 3],\n [-9, -3, -2, 0, -5, -6],\n [-1, 10, -3, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, 8, -6, -4],\n [-2, -2, 0, 5, -2],\n [-4, -9, 3, 3, 8],\n [2, 2, 7, 5, -8]]\nB =\n[[9, -1, 3, -10, -8, -1],\n [-1, 6, 10, -6, 2, 5],\n [-10, 8, 2, -7, 0, 0],\n [6, 2, -5, -6, 10, -1],\n [-9, 4, 1, -8, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -7, -5, -2, 4],\n [2, 8, 1, 3, 2],\n [2, -9, 3, -5, 5],\n [-8, -1, 5, 7, -8],\n [5, 7, -9, 9, 9],\n [-2, -1, -5, 4, -10]]\nB =\n[[10, 2, -2, 3],\n [-5, -5, -4, 1],\n [10, 8, 4, 2],\n [-6, 8, 1, -5],\n [-9, 5, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-307", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -4, -5, 7, 7],\n [10, -4, -8, -7, -9],\n [-4, -1, -9, -8, 10],\n [-6, 1, 5, 6, -4],\n [10, -2, 7, -9, 1],\n [8, -9, -10, 10, -2]]\nB =\n[[9, 4, 1, 9],\n [8, 3, -3, 7],\n [3, 4, -2, -9],\n [-7, 7, -5, -9],\n [5, -5, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[2, 3, 10, 5],\n [-3, 4, 0, -1],\n [6, -10, 10, 7],\n [-4, 8, -2, -3],\n [2, -1, -9, 9]]\nB =\n[[-8, -8, -6, 5, -5, 0],\n [-10, -4, -3, 0, -2, 8],\n [10, 8, 1, 7, 8, 9],\n [8, -6, -5, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, 8, 4],\n [3, 0, 3, 3],\n [-2, 3, 0, 4],\n [-3, 8, -5, -3],\n [0, 1, -8, -10]]\nB =\n[[-9, -5, 2, 8],\n [-10, 5, 7, -5],\n [-2, -5, 10, 0],\n [-9, -8, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 1, 0, -8, -10, 1],\n [10, -1, 10, -7, 7, 2],\n [0, -10, 0, 7, 9, -5],\n [1, 1, 3, -9, 9, 0],\n [6, -4, 3, 9, 6, -8]]\nB =\n[[2, -9, 2, 3],\n [-2, -2, -10, -2],\n [-9, 7, 1, -6],\n [8, -2, 5, 0],\n [8, -10, -3, 10],\n [10, 2, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, 6, -2],\n [9, -7, 3, 2],\n [2, 0, -6, -5],\n [-3, -5, -8, -7]]\nB =\n[[2, -9, 0, 8, -9, -2],\n [-2, 9, 8, 3, -10, 4],\n [-3, 2, -8, 1, 10, -3],\n [-5, 8, 5, 5, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-4, 2, -7, 3],\n [-10, -6, -4, 5],\n [10, -7, -4, 10],\n [0, -7, 8, -3],\n [9, -7, 10, 10]]\nB =\n[[10, -6, -8, -5, 10, 6],\n [-5, 0, -2, 8, 1, 6],\n [3, 2, -6, 9, 8, -7],\n [4, 10, -7, -10, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 7, 7, -4, 5],\n [-3, 3, -8, 5, 6],\n [2, 1, -1, 5, -5],\n [10, 6, 7, 0, -1]]\nB =\n[[-8, -7, 5, 7],\n [-10, 2, -10, -6],\n [0, -4, 4, -4],\n [9, -10, 7, 9],\n [5, 7, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 5, 9, -2],\n [-7, 9, -8, 3],\n [3, -3, 8, 8],\n [-6, -6, 2, 0],\n [-1, 5, 10, -7]]\nB =\n[[-8, 4, -1, 9, 2, -7],\n [-8, -6, -9, 6, 3, 1],\n [-10, 8, 9, -2, 1, -6],\n [6, 10, 1, -6, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1947", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, -9, 0, -4],\n [2, -9, -5, -8, -5],\n [2, -5, 9, -8, 8],\n [1, -5, -6, 3, 4],\n [-2, -7, -5, 2, -4],\n [-2, 2, -3, -7, -8]]\nB =\n[[-10, 2, -6, 3, -1, 9],\n [-10, -3, 9, 2, 10, -7],\n [2, 4, -6, -7, 6, 10],\n [2, 3, 4, 2, 6, 7],\n [6, 2, 5, 10, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, -6, 5, 8],\n [-10, 3, -1, 3, -2],\n [-8, -7, 5, -8, -3],\n [10, -9, -5, 10, -6],\n [0, 5, -1, 4, 2],\n [5, 5, 3, 1, -1]]\nB =\n[[8, -4, 1, 3, 1, 9],\n [-1, -5, 3, 6, 3, -1],\n [8, -10, -5, 5, -4, -7],\n [10, -4, 7, 5, -6, 6],\n [3, 8, -6, -5, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -8, -4, -7, -1],\n [0, 3, -3, -1, -3],\n [0, 9, 1, 6, 2],\n [8, 7, -8, 6, 9]]\nB =\n[[7, 7, 2, -7],\n [-1, -3, 10, 5],\n [6, 7, 10, -9],\n [-9, -9, -1, 5],\n [8, -7, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-4, -10, 1, 7, 4, 7],\n [-8, 6, 1, 8, 8, 6],\n [-8, -2, 3, 7, 8, -5],\n [-10, 9, -2, -9, 2, 5],\n [-4, -10, 0, 7, -8, -3],\n [1, 1, -4, 0, -6, 9]]\nB =\n[[4, -5, 3, 5, -6],\n [-6, -5, -2, -2, -2],\n [6, -10, 0, -8, 3],\n [-10, -3, 8, 1, 8],\n [-8, 4, 3, 7, 7],\n [6, -10, 9, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[4, -2, 0, -10],\n [-5, 2, -4, 0],\n [-2, -6, -3, -1],\n [-5, -2, -10, 7]]\nB =\n[[-8, -3, -6, 1, 8, 1],\n [2, 1, 4, 5, 5, -3],\n [0, 2, -6, 2, 8, 7],\n [-4, 3, 5, 1, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, 10, 9, -6],\n [-4, 7, 10, 1, -4],\n [1, -9, 5, 0, -10],\n [1, 0, -4, 1, -10]]\nB =\n[[3, 7, 8, 10, 10],\n [4, -5, 10, 3, 2],\n [-5, 4, -6, 5, 7],\n [-5, 2, -6, 5, 7],\n [10, 0, -10, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1370", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 7, -9, 8],\n [3, 0, 4, -8],\n [9, -10, -2, -4],\n [-2, 4, -8, 10]]\nB =\n[[10, -10, 10, -3, -3],\n [-1, 2, 9, 3, 8],\n [3, -4, 3, -5, -5],\n [-10, -5, -2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -5, 6, -7, 2, -10],\n [-4, -7, -3, 5, -3, -10],\n [-6, 1, -2, -1, 6, 1],\n [1, -2, -10, -6, 6, 9],\n [-10, -3, 6, 5, 10, 5]]\nB =\n[[0, -1, -4, -7, 1],\n [3, 0, -4, 4, 9],\n [7, -6, 8, 6, -7],\n [9, -1, 0, -9, 3],\n [-3, 5, 1, 3, 10],\n [3, 8, 5, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 1, -9, 9, 6, -4],\n [-3, 4, -2, -5, -9, 0],\n [-4, 1, -8, 8, -5, 3],\n [-4, -2, 6, 4, 2, -7]]\nB =\n[[4, -4, 10, -6, -9],\n [-8, -5, -3, -8, 8],\n [10, -2, 10, -4, -1],\n [-3, 1, 7, 2, 2],\n [-5, -5, 5, 7, 6],\n [9, 6, -1, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 5, 4, -5, 2, 2],\n [-10, -9, -6, 9, 8, 6],\n [-3, -7, -9, -2, 2, 10],\n [1, -7, 7, 7, 6, -10]]\nB =\n[[4, -2, 6, -2, 8, 9],\n [-3, 2, 3, -6, -8, 8],\n [10, -6, -8, 6, 10, 7],\n [-6, 10, 7, -2, 0, -3],\n [4, -7, -8, -5, -9, 10],\n [0, -2, -8, -3, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-644", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, 8, -6, 6, 3, -5],\n [-7, -3, 10, -4, -3, -1],\n [3, -3, 0, 5, -8, 6],\n [-4, -7, 6, -2, 1, 9],\n [-6, -10, 7, 1, 7, 9],\n [-3, 5, 4, 10, 8, 5]]\nB =\n[[10, -4, -3, -1, 6, -7],\n [-5, -2, 2, -2, -4, 1],\n [-2, -8, -8, 8, -7, -6],\n [-3, -9, -4, -4, 4, -6],\n [-2, -3, 5, 2, 5, -8],\n [-1, -9, 2, -8, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 8, 0, -3, 4],\n [1, 6, 3, -5, 3],\n [3, 1, -9, -10, 5],\n [3, -2, 8, -3, 5],\n [-2, -4, -7, -7, -6]]\nB =\n[[-4, 3, -2, -5, -4],\n [-9, 2, 5, 2, -5],\n [-5, 9, -1, 8, 6],\n [-6, -4, 8, -6, 3],\n [2, 2, -2, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-4, -1, 6, 9, 7, -2],\n [-5, 3, -2, -10, -4, 1],\n [-4, -1, 1, 4, 3, 6],\n [1, -4, -9, -2, 6, -1],\n [8, 9, 10, 7, -2, -8],\n [0, -1, 4, -4, 8, 4]]\nB =\n[[9, 3, -1, -1, 6],\n [9, 4, -5, -9, 5],\n [10, 5, -7, -5, 10],\n [-1, -2, -10, -4, 3],\n [-3, -9, -5, 7, 3],\n [-5, -9, -6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 3, 8, -10],\n [-4, 4, 1, 7],\n [-8, -10, -8, 10],\n [-8, -2, 3, -6],\n [-7, 5, -9, -2],\n [-2, 0, 0, -5]]\nB =\n[[6, 7, 2, -9],\n [7, -3, 1, -9],\n [1, 6, -3, 3],\n [-1, -6, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -10, 3, -7, -1, -1],\n [-9, 7, -8, 9, 4, -5],\n [5, -9, -5, 9, 10, 2],\n [-5, 0, 9, 2, 2, -10]]\nB =\n[[-9, -2, -8, 1, -1, -10],\n [3, -10, -1, 0, -4, -8],\n [-9, -1, 5, 5, -6, 6],\n [9, -9, -3, -8, -8, 9],\n [1, -5, 7, 6, -8, 1],\n [-7, -10, -6, 1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, 7, -8, -1],\n [-7, -10, -10, -1],\n [10, -5, 2, 7],\n [-5, 2, -8, -3],\n [4, -6, -6, -8]]\nB =\n[[-1, 3, 0, -6, 8],\n [-3, -8, -9, -5, -2],\n [-9, -1, 6, 3, -9],\n [1, -1, -9, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 5, -9, -7, 4],\n [-2, -10, 7, 4, -5],\n [5, 7, 0, 0, 5],\n [-8, 9, 5, 3, 3],\n [0, 0, -7, 6, -2]]\nB =\n[[-7, -6, 2, -5, -4, 3],\n [-4, -10, 3, -8, -9, -2],\n [-10, 5, 2, -4, -5, -5],\n [-7, 0, -4, -4, 6, -5],\n [-9, 3, -4, 9, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -7, 7, 5, 5],\n [10, 3, -4, -4, -2],\n [-8, 2, 3, -8, -10],\n [-1, 3, 10, 4, -10],\n [3, -8, 3, 8, 6]]\nB =\n[[-2, -8, 9, -10],\n [3, -8, -2, -5],\n [-5, -6, 9, 9],\n [9, 3, 10, 6],\n [5, 9, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 1, 4, -10],\n [-9, 3, 10, 6],\n [9, -10, -3, -7],\n [-6, 1, 8, -6],\n [-5, 1, 4, 1]]\nB =\n[[-7, 6, 5, 4, -9],\n [9, -9, -2, -8, 2],\n [-4, -1, 1, 4, 9],\n [-3, 10, -2, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1754", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -5, 8, 0],\n [-8, -5, -4, -5],\n [-10, 9, 1, -8],\n [0, 4, -3, 4],\n [-7, -9, -10, 7],\n [-10, -5, -5, 5]]\nB =\n[[-4, -7, 3, -6, 5, -10],\n [-7, -10, 9, 4, -6, 10],\n [1, 8, 8, 7, -5, -7],\n [6, -3, 10, -5, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2247", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -3, -2, 3, -10],\n [-4, 6, 9, 8, -1],\n [8, 2, -10, 9, -2],\n [-8, 4, 1, 8, -8]]\nB =\n[[8, 3, -10, -3, -8, 7],\n [-3, -2, -3, 8, -8, 3],\n [-1, 8, 2, -8, 4, -9],\n [5, 10, -1, -2, -2, -3],\n [-3, 2, -9, 10, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1634", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 5, -7, 10, 5, 4],\n [-7, 5, -7, -4, 7, -2],\n [10, -5, -6, 4, 4, 0],\n [-9, -7, 5, -1, 5, 5]]\nB =\n[[0, -9, 2, 4],\n [-2, -7, -1, 4],\n [7, 4, 10, -7],\n [-2, 3, 1, -7],\n [7, 2, 10, 10],\n [-9, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "848", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -7, 7, -6],\n [10, -4, -10, 10],\n [2, 8, -4, 1],\n [-9, -9, 9, -1],\n [-1, 7, -4, -7],\n [-7, -10, 1, 0]]\nB =\n[[-7, 8, 2, -3],\n [4, -9, 2, -7],\n [10, 4, -10, 7],\n [-1, -10, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1818", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -9, -2, 0],\n [-1, 1, 5, 7],\n [5, 2, 3, -10],\n [-10, 7, 0, -10],\n [-5, 3, -6, 2]]\nB =\n[[-1, -2, 2, -5, 10],\n [10, -1, -1, 3, 3],\n [6, -4, -3, 6, 10],\n [7, 1, 1, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 7, -8, 0, 5, -7],\n [-4, -10, 9, 8, -8, 3],\n [1, 7, -1, 0, 8, 1],\n [5, 1, 8, 3, 1, 7],\n [-3, -5, 3, 10, 6, 0]]\nB =\n[[1, -2, 5, 3],\n [6, 2, -6, 4],\n [2, 2, -5, -4],\n [-4, -8, -3, 8],\n [9, -7, -4, -1],\n [6, -1, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 8, 0, -9],\n [6, 0, -3, 5],\n [-5, 1, -6, -8],\n [7, 10, 7, 6],\n [8, -3, -4, -8]]\nB =\n[[-1, 1, -7, 5, 0, 7],\n [8, -3, -5, 7, 8, 5],\n [-6, 7, -6, 4, -2, 10],\n [-7, -4, 2, 6, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1937", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -1, 5, -8],\n [7, -10, 8, -10],\n [0, 5, 9, -10],\n [0, 6, 3, 1],\n [2, 3, 4, 7]]\nB =\n[[9, 4, -10, 5],\n [2, 9, -10, 7],\n [-8, 6, 4, 8],\n [-2, 9, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "980", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -2, -7, -3, 4],\n [0, 9, 3, 8, -6],\n [1, 7, -3, 10, 8],\n [1, 9, -6, 0, -4],\n [4, 2, -1, -2, 0]]\nB =\n[[8, 7, -4, -10, 6],\n [2, 5, -7, -6, 1],\n [-9, -8, -2, -4, 10],\n [8, 10, -1, 9, 10],\n [-8, -1, 4, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -3, 2, -5, -7, 3],\n [7, 10, 2, -10, 9, -1],\n [-5, -4, 6, -4, -1, 5],\n [0, 7, 4, 6, -4, -10],\n [1, 9, 2, -10, 10, 0]]\nB =\n[[6, -1, -2, -8, 0, 9],\n [4, 2, 5, -2, 1, 5],\n [8, 4, -4, -7, 6, 5],\n [9, 1, -3, 10, -7, 9],\n [4, -5, -7, 7, -2, -10],\n [-2, -7, 1, 10, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[7, -2, -5, -7],\n [-5, 5, -2, -10],\n [10, -2, 3, 5],\n [-6, 3, 7, -9]]\nB =\n[[10, 5, -8, 8, 7, 8],\n [0, -8, -9, -6, 10, -9],\n [-1, 0, -4, -7, -5, 9],\n [6, 7, -8, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -7, 0, -10],\n [-2, 8, 10, 4],\n [8, -1, -9, -9],\n [-5, 9, 9, -9],\n [6, -5, -1, 1]]\nB =\n[[-8, -2, 8, -1, -9, -9],\n [-3, 9, 2, 10, 0, 9],\n [-7, 7, 2, -3, -4, -2],\n [-7, 8, 3, -8, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1884", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[9, -8, 3, 7, -2, 6],\n [-4, -4, -10, 8, -1, 4],\n [8, 3, -7, -4, 9, -8],\n [-10, 3, 7, -9, -7, -8],\n [-5, -1, 9, -9, -8, 10],\n [2, 4, 0, 5, -6, 1]]\nB =\n[[0, 3, -7, 8, 2],\n [7, 2, -8, 8, -1],\n [-6, -7, -8, 0, 9],\n [0, 4, -10, 8, 9],\n [7, 4, 4, 8, 7],\n [-3, 2, 10, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, -6, 8],\n [0, 2, -5, 4],\n [2, 10, 1, -1],\n [-1, 7, -9, 0],\n [-2, 8, -2, 10]]\nB =\n[[4, -2, 9, 4],\n [1, 8, -3, 0],\n [-9, -8, 1, -8],\n [-8, -9, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, -2, -8, 3],\n [10, 10, 2, 9, -5],\n [-7, 5, 8, -4, 9],\n [8, -7, -9, 3, 7],\n [0, -6, -4, -2, -5],\n [6, 9, -6, 3, 7]]\nB =\n[[1, 3, -7, -2, 0],\n [-1, -5, -3, 10, -8],\n [-7, 9, 10, 5, -1],\n [-7, 3, -4, 9, -9],\n [-10, -6, -5, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-880", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -5, -8, 8, 3],\n [-3, -5, 1, 8, -4],\n [1, 2, -4, 1, 4],\n [-8, 4, -9, -3, 8],\n [-5, 5, -8, 0, -7],\n [-2, 3, 10, 2, -10]]\nB =\n[[-9, 7, -2, 6, 5, 9],\n [3, -4, 8, -5, -5, 0],\n [10, 8, -6, 9, 2, 9],\n [-3, 10, 7, -10, -10, 5],\n [1, -7, 5, 1, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2724", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 9, 1, 0, 10, -7],\n [10, 6, -9, 4, -3, -3],\n [6, 7, 9, -9, -5, -8],\n [0, -3, -1, 8, 2, 10],\n [-1, -5, 9, -1, 5, 2]]\nB =\n[[-6, 4, -5, 4],\n [3, 2, 7, -4],\n [-6, 6, 7, -3],\n [6, 2, 7, 3],\n [8, 3, 4, -3],\n [1, 7, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-5, -8, -8, -2, 9],\n [7, 6, 5, -5, 9],\n [-7, 0, -7, -6, 10],\n [5, 0, -3, -9, -1],\n [9, -10, -10, -9, 6]]\nB =\n[[7, 0, -7, -7, -6],\n [6, -5, 3, 2, 10],\n [-10, 2, 5, 10, 9],\n [6, -9, 9, 6, -4],\n [-2, 0, 3, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 10, 10, -8],\n [6, 3, -6, 4],\n [4, 1, -6, -1],\n [-6, -8, 1, 7],\n [9, 7, 9, 0]]\nB =\n[[5, 7, -9, 10],\n [2, -6, 2, 8],\n [-4, -9, 1, -2],\n [-7, -4, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-10, -10, -4, -3],\n [-4, 7, -5, 6],\n [-10, 4, 3, -6],\n [7, 5, 2, 4]]\nB =\n[[4, 0, -1, -5],\n [-10, 0, -10, -3],\n [4, -10, 10, 9],\n [8, -7, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, -8, 9],\n [5, 9, -8, -1],\n [-2, -6, -10, -6],\n [-4, 0, -2, 1],\n [1, 4, 10, -7],\n [-9, 3, -7, -10]]\nB =\n[[-2, 3, -7, -5, 3, -6],\n [6, -8, 8, 7, -3, 2],\n [1, 2, -6, -6, 3, 1],\n [7, -6, 7, -3, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, -9, 3, -7, -6],\n [0, 4, -8, 9, 5, 5],\n [1, 5, 7, -7, -9, 4],\n [-8, 5, 4, -9, -1, 3]]\nB =\n[[3, 10, -4, 4, 4],\n [-1, 7, 9, 3, 10],\n [4, -8, 10, -6, -4],\n [8, -10, -9, 7, 8],\n [-5, -5, -10, 2, -7],\n [9, -6, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 8, 4, -5],\n [-1, -2, -10, 5, 5],\n [-10, -4, -5, -8, 0],\n [-6, -1, 3, 3, -9],\n [-6, 7, -10, 7, -1]]\nB =\n[[4, -3, -5, 1, -9],\n [-3, -3, -3, 7, -1],\n [-1, 3, -8, 8, 1],\n [0, -2, 6, 4, -4],\n [-6, 2, -8, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -8, 2, 9, -8],\n [10, -9, -9, -7, -1],\n [-2, 10, 10, 3, 2],\n [3, 5, -4, 3, -10],\n [4, -5, 6, -4, -10]]\nB =\n[[1, -5, -9, 6],\n [3, 2, 3, -7],\n [-2, 4, -3, 2],\n [7, -8, -6, -8],\n [1, -8, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1012", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, -8, 6, -10, -10],\n [-5, -5, 3, 7, -3],\n [0, 10, 7, 3, 4],\n [-4, -2, 10, 5, 3],\n [-7, 5, -10, -10, 1],\n [-3, -6, -2, 6, 3]]\nB =\n[[-1, -3, 8, 3, 8, 8],\n [5, -8, -9, -9, 9, 10],\n [2, 1, 2, -5, 8, 1],\n [7, -4, -1, -3, 7, 4],\n [10, -2, 10, 6, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -10, 5, 3],\n [-7, -3, 1, -5],\n [2, -10, 1, -2],\n [-3, -2, -6, 10],\n [-6, -10, -1, 4],\n [-2, -2, -10, -4]]\nB =\n[[-3, 6, -2, -3, 0, 7],\n [0, 8, -2, -9, 8, 2],\n [-8, 6, -9, 9, -6, -6],\n [-4, -9, 3, -7, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -8, 9, 0, 8],\n [6, 9, -1, 5, -4],\n [-3, 2, 3, -2, 8],\n [-3, -10, 10, -1, -8],\n [2, 7, 9, -8, -5],\n [6, -9, -2, -3, -3]]\nB =\n[[4, 5, -9, 5, 1],\n [9, -1, 10, -7, 8],\n [2, 10, 9, -6, 6],\n [10, -3, -1, -3, -6],\n [6, 7, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -3, 2, 1, 3, -10],\n [-1, 5, -8, -9, 5, 6],\n [4, -5, 5, 0, 9, -5],\n [-4, 5, 0, 2, 0, -7]]\nB =\n[[-3, 5, 10, 1],\n [0, 0, 10, 9],\n [-8, 2, -10, -8],\n [-5, -9, 5, 0],\n [1, -3, 8, 2],\n [-2, 7, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1026", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -4, -2, -1, -6],\n [-7, 0, -1, 5, 6],\n [-2, 10, -2, 6, 6],\n [-5, -4, 2, -6, -7],\n [-5, -9, 0, -9, -1]]\nB =\n[[-1, -4, 7, 10, 6],\n [10, -2, 9, -3, 2],\n [10, -4, 7, -5, 3],\n [-9, -5, 0, 8, 0],\n [-7, -9, 9, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1635", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 8, 5, 7, 1, 3],\n [5, -8, -9, 4, 10, 7],\n [-6, 6, -3, 10, 0, -5],\n [-5, 0, 1, -1, 4, -9],\n [7, -8, -1, 5, 3, 7]]\nB =\n[[-8, 9, 5, -2],\n [0, -1, 6, 3],\n [6, 3, 6, -9],\n [9, 1, 7, -5],\n [-9, 10, -9, -8],\n [-8, -9, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 0, 4, 10, -1],\n [4, -9, 9, 9, -9],\n [-3, -7, 2, 7, -2],\n [-3, -4, 6, 3, 9],\n [2, -9, 3, 3, -4]]\nB =\n[[9, -5, 2, 9, 8],\n [7, -7, 8, -3, 9],\n [1, 10, 10, 4, 0],\n [4, 0, -8, 7, -2],\n [7, -1, 0, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1725", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -8, -1, -1, -2],\n [8, -3, 2, -3, 5],\n [4, -5, 3, 10, -1],\n [8, 5, 6, -9, 9],\n [0, -1, -8, 6, 2],\n [-6, 6, 7, -1, -3]]\nB =\n[[0, 0, -10, -6, 10, 7],\n [-5, 7, -10, 4, -9, -1],\n [9, 8, 5, 9, 3, -4],\n [-8, 7, -9, -9, -2, 0],\n [-9, -1, -10, 7, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2317", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, -4, 2, -4, 4],\n [-2, 6, 2, -5, 1, 6],\n [2, 2, -3, -6, 9, 2],\n [-8, 2, -6, 5, 7, 0],\n [7, 8, 6, 2, 10, -1]]\nB =\n[[10, 7, -1, 0, 7],\n [-10, -2, 2, -10, 10],\n [-5, 4, -5, 3, 8],\n [5, -2, -5, 2, 6],\n [-7, -1, 9, 7, -5],\n [-8, 7, 3, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 2, -2, 7, -9, 7],\n [-5, -7, -4, 5, -3, 3],\n [-9, -8, 1, 1, -10, -10],\n [4, -9, 6, -2, 9, -10],\n [-8, -3, 7, 6, 2, -8]]\nB =\n[[-1, 1, 0, 7, 6],\n [-10, 5, -10, 9, 1],\n [-5, -7, 2, 10, 5],\n [6, -7, -3, 9, -7],\n [-3, -6, -7, 5, 5],\n [8, 5, -3, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2299", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, 0, -10, -7, 5, -1],\n [1, -3, -4, 4, -6, -5],\n [-3, -4, -7, 7, 8, -5],\n [-8, -1, 4, 9, 5, 6]]\nB =\n[[-9, 7, -2, 9],\n [10, 6, -10, -6],\n [8, -4, 7, 5],\n [10, 3, -8, 10],\n [-1, -9, 10, 3],\n [-2, -7, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 7, 7, -2, -5],\n [5, 7, 2, 3, 8],\n [9, 3, -8, 5, 5],\n [7, -1, 5, 0, 0]]\nB =\n[[9, 2, 6, 2, -4, -7],\n [4, 5, 7, 1, 4, 8],\n [1, -7, 4, 6, -6, -6],\n [6, -10, 4, 6, -8, 8],\n [-8, 0, 1, -8, 10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 1, 7, -2, -5],\n [-5, -9, -10, 2, -8],\n [5, 4, -8, 5, -2],\n [2, -9, 8, 5, 2]]\nB =\n[[10, -4, -2, 9, 9, 7],\n [9, 0, 5, 8, -7, 1],\n [0, -9, 1, 10, -2, -9],\n [-8, 9, 8, 1, 9, 7],\n [8, -7, -8, -3, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[10, -7, 9, 4],\n [-1, -4, -5, -5],\n [1, 9, -3, -6],\n [-2, -8, 5, 8]]\nB =\n[[-7, 6, 4, -7],\n [-2, 5, -10, -3],\n [1, 9, 10, 8],\n [2, 5, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 10, -5, -9, 7],\n [-10, 10, 1, -8, 5],\n [-6, 3, -6, -1, -1],\n [4, -2, 4, -1, 10]]\nB =\n[[-2, -10, 9, 6, 8],\n [2, 3, -10, -6, 3],\n [6, -9, -1, -8, 4],\n [-2, -5, 7, 3, 6],\n [6, 2, -8, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -3, 3],\n [-7, 9, 7, 8],\n [-1, -2, 2, 0],\n [3, -10, -9, 10],\n [-2, 7, -5, -1],\n [6, -1, 1, -4]]\nB =\n[[7, -8, 7, 6, 6],\n [-6, 4, 5, 2, 3],\n [-7, 8, 2, -1, 5],\n [-7, -4, -5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, -6, -3, 10, 1],\n [1, 9, 6, 2, 9, -8],\n [5, -5, 5, 5, -4, 6],\n [-3, 4, -10, 3, 4, 8]]\nB =\n[[-4, 0, -7, 5],\n [-6, 0, 4, -6],\n [-3, -7, 3, 8],\n [-5, 0, -7, 10],\n [2, 6, 0, 9],\n [-6, -6, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0, -1],\n [1, 6, 4, 8],\n [-8, -2, -3, -2],\n [4, -4, 4, -6],\n [4, -10, -9, -4]]\nB =\n[[10, 9, -9, 9, 3, 8],\n [1, 5, -9, 8, 0, -6],\n [-9, -1, -6, -5, 7, 8],\n [-5, -4, -6, -1, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -4, -5, -7, -3, 3],\n [-9, -10, 5, -5, 8, 10],\n [-5, 6, -1, 10, -10, -7],\n [-2, -4, -9, -4, -10, 6],\n [8, 4, 6, 3, -7, -8],\n [-6, -2, -1, 0, 3, 1]]\nB =\n[[-5, 1, -5, 10],\n [9, -4, 5, 2],\n [2, 8, -1, 10],\n [-3, 8, 1, 0],\n [9, -4, 2, -6],\n [10, -5, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -5, 5, -8, -6, 9],\n [6, 6, -2, -3, -8, -8],\n [2, 6, -9, 6, 8, -5],\n [-5, 8, -8, 6, 2, 10],\n [-1, -10, 2, 6, 5, -4],\n [4, 8, 4, 0, 6, 6]]\nB =\n[[-9, 0, -6, -1],\n [2, 6, 1, 6],\n [1, 8, 4, 5],\n [-3, 6, -3, -1],\n [9, 7, -3, -2],\n [0, -3, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 6, -10, 9],\n [-10, 6, -1, 2],\n [9, -7, -3, -7],\n [9, 6, 8, -9],\n [-10, -10, 1, 10]]\nB =\n[[10, -6, 6, 4, -8, 9],\n [10, -1, -4, 4, -2, 6],\n [-3, 5, -10, 8, 0, -2],\n [-6, -8, -5, -3, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[6, -10, 1, -2, -1],\n [-5, 1, 6, 5, 10],\n [-3, 4, -7, 10, 3],\n [-1, -2, 4, 5, -7],\n [-5, 8, -6, -6, 3],\n [-10, -3, -1, 5, -2]]\nB =\n[[-6, 9, -9, 6, -10, 9],\n [2, 2, -4, -8, -7, -3],\n [-1, -3, 1, -7, -4, 7],\n [-4, 6, 1, -2, 8, 3],\n [-4, -9, 10, -9, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[6, -7, -4, 7],\n [-2, 8, 9, -2],\n [-2, -4, -3, -5],\n [2, -10, -7, 10]]\nB =\n[[-1, 8, 10, 7],\n [1, -5, 0, -9],\n [9, -1, -5, -3],\n [-9, 1, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -7, -4, -1],\n [7, -9, -7, 3],\n [6, -4, -4, 9],\n [-9, 5, 0, 7],\n [-4, -8, -6, -9]]\nB =\n[[5, -5, 0, 4, -8],\n [5, 6, 10, -2, 8],\n [-10, 10, -8, 8, 9],\n [7, 2, -10, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-661", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 5, -10, -8, -2, -6],\n [-1, 3, 2, -10, 4, -9],\n [-2, 7, -3, 1, 4, 9],\n [9, -6, 7, 0, 2, 0],\n [-4, 3, 3, -6, -5, 4]]\nB =\n[[0, -7, 8, 1, 1],\n [9, 8, 8, -1, -1],\n [6, -1, 9, -1, 2],\n [7, -6, -7, 0, -2],\n [9, -2, 8, -7, 0],\n [-7, -2, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[8, 4, -4, -7, 3, -8],\n [-8, -6, 0, -2, -2, 1],\n [9, -10, -4, 7, -6, -5],\n [-3, 10, -3, 4, 6, 7]]\nB =\n[[-3, 0, 7, -5],\n [3, -10, 7, 3],\n [-5, -3, 8, -3],\n [6, -7, -1, 5],\n [4, 10, -3, 1],\n [1, -9, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[8, 5, -6, -1, -6],\n [7, -8, -8, 0, 7],\n [6, 0, -3, 2, 0],\n [-10, -3, 1, 8, 9]]\nB =\n[[5, -8, 1, -9, 5, 7],\n [5, 5, -3, 3, 7, -5],\n [-4, 3, 6, 8, -3, 6],\n [0, -10, -10, -6, -3, -10],\n [9, 10, 6, -1, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 6, 6, -9],\n [10, 1, -8, -2],\n [-4, 5, -4, -7],\n [6, 4, -3, -10],\n [-7, -8, -7, -2],\n [-10, 3, -8, -1]]\nB =\n[[7, -6, 6, 7, 3],\n [10, 8, 7, 4, 10],\n [-8, 10, 7, 9, -5],\n [-8, -5, 9, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 4, 2, -9, -3, 8],\n [2, 8, 0, -10, 2, 4],\n [10, 9, 8, 0, 3, -7],\n [-9, -4, 1, 2, 7, 9],\n [4, 3, -7, 6, 2, -7]]\nB =\n[[9, 8, -8, 0, 8, -10],\n [-1, -4, 3, 1, 7, 7],\n [8, 3, -10, 6, -5, -2],\n [5, 6, 2, 4, 6, -3],\n [6, -10, -9, -4, 9, 0],\n [-8, 1, 1, 2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1705", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 5, 1, -9, -3],\n [-8, -6, -2, 10, 5],\n [8, 9, 1, 2, 10],\n [-1, -7, 0, 8, 2]]\nB =\n[[2, -9, 7, 7],\n [8, -6, 6, -4],\n [-7, -9, 8, -8],\n [-8, 9, 0, -2],\n [10, -10, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 0, 1, 6, 9],\n [7, 6, -9, -8, 9],\n [3, 7, 9, -9, -7],\n [-7, 8, 8, -2, 9]]\nB =\n[[10, 9, -2, 5, -6, -10],\n [3, -6, 1, -7, -7, 3],\n [9, 1, -6, 10, 5, -2],\n [3, 2, 1, -9, 1, 7],\n [-8, -10, 0, -9, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-911", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, 4, -2, -1, -8],\n [3, 5, 10, -2, 2],\n [-10, 6, 7, 0, 8],\n [9, 3, -8, 7, -9],\n [-2, -8, 7, 10, 3]]\nB =\n[[-7, 4, 8, 8, -1],\n [9, -5, 4, -5, -9],\n [-4, 10, -5, -8, -10],\n [6, -1, 8, -2, 9],\n [-2, 1, 1, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -1, -8, 4, -7, -10],\n [-6, 2, -5, -10, -7, -4],\n [5, -1, -4, 4, -9, -7],\n [1, -6, 9, 8, -2, -2]]\nB =\n[[10, 9, 7, -1],\n [2, 5, 7, 0],\n [-4, -10, -10, -10],\n [2, -1, 2, -7],\n [5, 6, -2, 5],\n [8, 0, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, -8, 10, 6],\n [2, 9, 6, 10],\n [5, -8, -10, 1],\n [-6, -8, 7, 9],\n [-3, 3, 8, -7]]\nB =\n[[5, 7, 3, 4],\n [1, 9, -7, 10],\n [-3, -4, -10, 0],\n [8, 3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, 9, 8, -10, -5, 4],\n [0, 5, 10, -3, 5, -4],\n [10, 3, 6, 8, 10, -6],\n [10, -8, 2, -6, -2, -1],\n [7, 4, 2, -10, -1, 4]]\nB =\n[[3, -9, 3, -6, -9],\n [-9, -4, 8, 4, 2],\n [6, 8, -2, -8, 1],\n [9, 10, 1, 8, 10],\n [1, -2, -7, -2, 4],\n [-5, 1, -8, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 7, -2, -6],\n [-3, -2, 3, 5],\n [10, 10, 5, 2],\n [10, -2, 6, -7],\n [5, 0, -10, 9],\n [-7, -1, -1, -5]]\nB =\n[[-2, 2, -5, -10],\n [7, -2, 6, 8],\n [-6, 2, -10, 8],\n [5, 9, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[8, -7, 7, 1, 4],\n [5, -10, 7, 2, -3],\n [-5, 3, -10, 0, -1],\n [-4, 8, 8, -7, -9],\n [0, -5, 3, -2, 4]]\nB =\n[[5, -4, -10, -10, 3, -5],\n [8, -4, 8, -9, 9, -10],\n [5, -6, 2, -9, -1, 10],\n [6, 10, 6, -9, -6, -7],\n [-9, -4, 4, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 4, -8, 8, 3, 6],\n [-7, -9, 6, -4, -2, 1],\n [10, 0, -9, -7, 8, -7],\n [2, 7, 5, 7, 6, -8],\n [0, 6, 1, -9, -7, 7],\n [4, -4, 1, -5, 8, 5]]\nB =\n[[-8, -2, 3, 9],\n [3, 10, -7, -1],\n [1, 1, 9, -4],\n [-10, 9, -8, -3],\n [-9, 5, 2, 2],\n [10, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -4, 3, 8, 2, 4],\n [5, 10, 4, -9, 3, 0],\n [0, 10, 5, -9, -7, 10],\n [0, -3, -3, -9, -2, 8],\n [6, -10, -10, 8, 2, 6],\n [8, 1, -10, 0, -4, 1]]\nB =\n[[-4, -9, -2, 3],\n [7, -8, -10, 4],\n [8, -2, -7, -9],\n [10, -1, -5, 10],\n [-9, 6, -6, -10],\n [-2, 5, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1971", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, -2, 4],\n [5, 0, -8, -7],\n [6, 8, -3, -8],\n [7, -7, -8, 8],\n [1, 2, 3, 10],\n [9, 0, 2, -2]]\nB =\n[[-3, 8, -9, -10],\n [-3, 3, -1, -6],\n [-8, -2, -3, -4],\n [2, -5, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -4, 0, 10, -5, -1],\n [5, -3, 8, 6, -1, 6],\n [-6, 0, -8, 10, -3, 7],\n [-7, -8, -9, 5, -10, -10],\n [9, 4, -10, 10, 7, -5]]\nB =\n[[2, 9, 9, 8, 9, 9],\n [-1, -3, 3, 8, -1, -1],\n [8, -6, 5, -10, -9, 1],\n [-3, 6, 0, 6, 10, 2],\n [3, -3, -9, 3, 5, 6],\n [5, -8, -3, 8, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2680", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -1, -7, 0, 5],\n [-1, -5, 7, -1, -9],\n [-2, 3, -7, 3, 8],\n [-5, 6, 6, -9, -10]]\nB =\n[[-6, 10, 0, -7, 4, 6],\n [10, 4, 1, 3, 6, 8],\n [8, -3, -7, -5, -4, 10],\n [-2, 5, 8, 7, 4, 7],\n [-2, 0, 10, 2, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1967", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 7, -7, 0],\n [5, 6, -9, -4],\n [-6, -7, 1, 8],\n [-5, 1, 4, -5],\n [-8, -10, 10, -3]]\nB =\n[[8, -6, -3, -3, 3],\n [-9, -6, 4, 8, 8],\n [7, 3, 0, -8, 3],\n [-3, -6, -5, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 3, -6, -6, 7, -2],\n [-1, -1, -5, -6, 7, 0],\n [7, -6, 6, 1, -4, 10],\n [-10, -2, 10, -9, -3, 3],\n [-3, 6, -1, -2, -4, -8],\n [2, -3, -8, 5, 3, 4]]\nB =\n[[8, -3, -8, -6, 5, -10],\n [-1, -3, -3, 10, 1, -6],\n [-6, 8, -9, -10, -1, -5],\n [2, 1, -8, -2, -1, 8],\n [-8, 5, -4, 7, 5, 8],\n [9, 1, -8, 5, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 6, 9, -8, -2, 9],\n [9, -6, -2, 8, 0, -5],\n [-5, 2, -10, 7, 4, 9],\n [8, -4, 1, -7, 0, 1],\n [-4, -3, 8, -3, 8, 7],\n [0, -4, -8, 5, -2, 8]]\nB =\n[[-8, -1, 1, 4],\n [2, -10, -7, -6],\n [-4, 0, 1, 1],\n [-9, 3, -8, 5],\n [3, -9, -2, -7],\n [7, -7, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, 1, 4, 1, 0],\n [-5, -3, 9, -3, 4, -9],\n [4, 1, -9, -4, -10, -9],\n [6, -4, 9, 2, -9, -10]]\nB =\n[[-10, 5, 2, -5],\n [-8, 7, -8, 3],\n [10, -6, 7, 9],\n [4, -10, 5, -6],\n [-6, -3, -5, 7],\n [-10, -5, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1363", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -2, 5, 1, 1, 4],\n [2, 2, -2, 7, 9, -9],\n [-2, -10, 5, 2, 3, 6],\n [-1, 6, -2, 9, 1, 10],\n [-7, 8, -4, 1, -7, 10],\n [-9, 8, -9, -9, 4, -5]]\nB =\n[[2, -5, -6, -10, -2],\n [8, -2, 3, 7, 4],\n [0, 3, -7, 2, -1],\n [0, -4, -5, 4, -7],\n [-8, 1, -6, -10, -8],\n [-9, 4, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-1, -8, -7, 4],\n [0, 1, -4, -4],\n [5, -10, 3, 7],\n [-9, -5, -7, 7],\n [10, -5, -8, 2]]\nB =\n[[0, -1, -7, -7],\n [-8, 10, 6, -1],\n [6, -10, 10, 2],\n [8, -3, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 10, 7, -1],\n [8, 6, -1, 6],\n [-4, 7, 1, -3],\n [-6, 10, 1, 3],\n [8, 6, -6, 2],\n [-2, 1, 8, 10]]\nB =\n[[8, 4, 5, 1, -1, -1],\n [-1, 2, -7, -7, 5, 7],\n [8, 8, 1, 0, -7, -6],\n [-9, -5, -8, -7, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-414", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[5, 10, 0, -2, -7, 4],\n [2, 9, 5, 7, -7, -4],\n [-6, 9, 5, -6, -6, -9],\n [8, -4, 8, 1, -10, 9]]\nB =\n[[10, -4, 3, 10, 9],\n [-9, -9, -10, 7, 1],\n [1, 2, 0, -3, 1],\n [-2, 6, 7, -5, -5],\n [9, 8, 3, 7, -3],\n [5, -5, 8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 2, -2, -10, -6],\n [1, -8, 3, 7, -4],\n [10, 10, 7, 0, -6],\n [5, -1, -9, 10, -7],\n [-8, 10, -6, 7, -3],\n [8, 2, -1, 9, -6]]\nB =\n[[7, 1, -6, -8],\n [-10, 0, -8, -3],\n [-8, 1, 4, -3],\n [5, 9, 2, -6],\n [-4, 0, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 0, 9, 10, -5, -3],\n [8, -2, 1, -1, -1, -6],\n [0, 6, -5, -1, -6, 4],\n [-1, 1, 6, 8, 9, 10]]\nB =\n[[-9, -4, -8, 10, 4, 10],\n [7, 5, 2, 10, -6, 7],\n [-8, -5, 8, -3, 4, -4],\n [-9, 1, 10, -3, 7, 7],\n [2, 0, 1, -3, 4, -6],\n [0, -1, 3, 10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, -1, 3, 1, -8],\n [5, 7, -3, -5, 1, 3],\n [5, 0, 1, -4, 6, -4],\n [-5, 0, 10, 2, 4, 7],\n [-4, 6, 1, 9, -6, 6],\n [9, 8, 0, 3, 1, 4]]\nB =\n[[0, 8, 10, 9],\n [-9, -1, 9, -10],\n [10, 1, -6, 8],\n [8, -3, -8, -8],\n [-4, -3, 8, -1],\n [2, 5, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1766", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 0, 0, 10, 4],\n [0, 6, 5, 2, 6],\n [-10, -10, -3, -2, 3],\n [-9, 7, 2, 8, 4],\n [3, 8, -8, 4, -4]]\nB =\n[[6, 0, 2, 4, 3, 5],\n [8, 0, -5, 0, 1, 8],\n [1, -7, -6, 7, 5, 9],\n [10, 2, -7, -6, 9, 6],\n [-1, -5, 10, -7, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -4, 3, -10],\n [-2, 9, 1, -5, -8],\n [-2, -8, 9, 1, 1],\n [-10, 8, 9, -7, 9],\n [-2, 9, 0, 6, -1],\n [-7, -1, 2, 4, 5]]\nB =\n[[-3, 9, -7, 6, -2, 0],\n [-7, 0, 1, 2, 2, 10],\n [3, 0, 2, 1, 9, 0],\n [-3, -4, -5, 3, 7, 1],\n [0, -10, 5, 3, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2057", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -5, 4, -3, 7, -6],\n [-3, 2, 9, -5, 6, -4],\n [-4, -5, 4, -3, -4, 10],\n [9, 3, 5, -1, 0, 0],\n [-10, -6, -3, 6, -9, 10],\n [4, 2, 10, -4, -3, 0]]\nB =\n[[4, 6, -9, 2],\n [4, -4, 6, -2],\n [8, -6, -3, -1],\n [7, -5, 6, 4],\n [3, -1, 3, -10],\n [3, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 2, -1, -8],\n [-1, -1, 7, 7],\n [-6, -9, 7, -4],\n [-9, -4, 4, 10],\n [-5, 4, 2, 9],\n [9, -8, 4, -9]]\nB =\n[[9, 3, 3, 2],\n [10, -4, -6, -1],\n [0, 4, 1, 7],\n [-2, 9, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-3, -10, -7, -10, -4, 9],\n [-5, 6, -9, 0, 6, -8],\n [-10, 1, -9, -7, -4, -7],\n [5, 9, 7, 3, 6, 1]]\nB =\n[[4, 7, -3, 9, 8, -10],\n [-1, -4, 2, 2, 10, 10],\n [-4, 1, 3, 7, 3, -8],\n [6, -4, 8, 5, -3, 1],\n [-10, -7, 2, -3, 3, 0],\n [2, 2, -9, 5, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, 7, -4, -4],\n [6, 9, 8, 10, 4],\n [0, -9, 0, 5, 6],\n [-5, -10, 10, -7, 9],\n [10, 7, 9, -5, -5],\n [-7, 7, -2, 5, -6]]\nB =\n[[-8, -1, 5, -5],\n [9, -2, 9, -10],\n [10, 5, 10, -8],\n [-10, 1, -2, 10],\n [-10, -1, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -9, -3, -9, 5],\n [-10, 2, 0, 0, 1],\n [-1, 7, -4, -3, -4],\n [-3, 6, -9, 5, -3]]\nB =\n[[-9, 10, -7, 2, 5],\n [10, -8, -9, -3, 10],\n [7, -3, -1, -8, -9],\n [2, 2, 6, -3, 2],\n [1, 10, 6, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -10, -3, 0],\n [-2, 9, -10, 0, 2],\n [1, 3, 0, 0, -1],\n [6, 4, 6, -9, -9],\n [-7, -4, 0, -7, -9]]\nB =\n[[5, 10, 0, 4],\n [3, -5, 10, 3],\n [3, -4, 6, -8],\n [6, 5, -2, 2],\n [3, -2, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 9, -4],\n [5, 4, 6, -4],\n [-4, 10, -8, -2],\n [3, 2, 5, 0],\n [-5, -6, -4, 3]]\nB =\n[[9, 5, -5, 6, -7],\n [9, 4, -7, 5, 9],\n [-3, -4, -9, 3, -8],\n [-7, -7, -1, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1462", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[5, -9, 3, -8, 0, 6],\n [2, -10, -7, -10, -1, -8],\n [-8, -3, 5, -8, 6, 5],\n [-8, 10, -1, 4, 0, 2],\n [3, 1, -2, 0, -9, -6]]\nB =\n[[9, -3, -2, -5],\n [-6, -8, -3, -10],\n [-8, -5, 5, 3],\n [4, 2, -5, 7],\n [-10, 4, -10, -4],\n [7, -5, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, -2, -4, 9, 2],\n [4, -6, 10, -6, -3, 6],\n [1, -2, 6, 3, 0, -10],\n [-8, 7, 8, -7, -1, 6],\n [3, -1, -3, 1, 3, -1]]\nB =\n[[-3, 10, 2, -8, -8],\n [4, -4, 10, -10, 3],\n [-5, 0, 1, -6, -4],\n [5, 5, -2, 3, -7],\n [10, 6, 1, -5, 2],\n [4, 0, -9, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 8, 5, 3],\n [5, -3, -9, 0],\n [-10, -1, -1, 5],\n [-4, -10, -9, 5],\n [6, -6, -5, -3],\n [-10, -8, -3, 3]]\nB =\n[[-9, -4, 6, 6],\n [1, 9, 5, -8],\n [-5, -8, 5, 10],\n [4, 8, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -2, 7, -5],\n [10, 0, 7, -4],\n [-10, -3, 8, 2],\n [9, 1, 3, 3],\n [-1, -9, -4, -3],\n [4, -2, -1, -4]]\nB =\n[[7, 3, -6, -4],\n [-8, 9, -6, -6],\n [-2, 7, 8, -4],\n [6, 8, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -3, 5, 3, -4],\n [-8, 2, 5, 6, 7],\n [4, 8, 8, 6, -8],\n [4, 2, -2, 5, 8],\n [8, 4, 9, 0, -9]]\nB =\n[[-8, -2, 6, -4, 6, 8],\n [1, 9, 5, -9, 9, -6],\n [-4, 2, 9, 0, 5, -5],\n [1, 6, -1, 0, 8, -5],\n [5, 6, 0, 6, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[10, 5, 9, 0, -3, -1],\n [6, -9, 5, -6, 7, -7],\n [-9, 10, -4, 6, 3, -7],\n [9, -10, -8, 9, 8, -10],\n [10, 0, -2, -9, 1, 6],\n [-4, 1, -7, 10, 8, 9]]\nB =\n[[-3, -1, -10, -9, -5],\n [7, -8, -10, 9, 9],\n [-4, 1, -5, -2, -1],\n [8, 1, -7, 5, -5],\n [-8, 6, 8, 3, 8],\n [-2, -10, 0, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 8, 6, -2, -10, 8],\n [-7, -7, 7, 4, 8, 1],\n [-2, -2, 5, -7, -9, 6],\n [-4, 5, 1, 5, -10, -6],\n [4, 1, -6, 4, -6, 5],\n [6, -8, 3, 0, 5, 10]]\nB =\n[[-9, -5, -2, 9, -10, 9],\n [9, -3, 2, 1, 8, -7],\n [4, 9, 0, 4, 10, 10],\n [6, 5, 2, 8, 10, -4],\n [8, -8, 4, 2, -1, 4],\n [9, 10, 0, -2, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2544", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 2, 1, 8, -4, 6],\n [-5, -4, -5, 9, 0, 6],\n [4, 8, -5, 9, 10, 10],\n [-2, -10, 4, -2, 9, -5],\n [7, -4, 2, -3, -4, 3]]\nB =\n[[7, 6, -7, -6, -1, -3],\n [9, 7, 1, -10, 7, 9],\n [-1, -3, -9, -10, 9, 9],\n [-4, 10, -8, -2, -8, 2],\n [0, -3, -5, 8, 4, -2],\n [-10, -6, 3, -1, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-801", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -1, 2, 2, -10],\n [-2, 7, -10, 9, 0],\n [1, 3, 4, 5, 6],\n [-2, 10, 10, -1, -6]]\nB =\n[[5, 5, 0, -6, 5],\n [7, -3, -8, 9, 10],\n [9, -2, 7, -10, 2],\n [-9, 2, 6, -2, -9],\n [1, -9, 7, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1400", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 1, 8, 10, -2],\n [4, 4, -4, -7, 2],\n [3, -3, 0, 5, 4],\n [-1, -4, 5, -1, 0],\n [-2, 7, 9, 10, -1],\n [-2, 5, -9, -5, -1]]\nB =\n[[-2, 0, 10, 6],\n [-5, -2, -9, 1],\n [9, 4, 4, -2],\n [-10, 7, 8, 9],\n [-8, -2, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -9, 1, 7, 4],\n [8, 2, -6, 8, 2],\n [-9, -10, -8, -6, 2],\n [-9, 4, 3, -7, 6],\n [0, 5, -2, -6, 5]]\nB =\n[[0, -3, 0, 1, -10, 4],\n [-6, -4, 10, 9, -8, -4],\n [9, 10, 9, 3, -10, -8],\n [-8, -6, -6, 2, 7, -2],\n [-6, -5, 10, -6, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, -5, -1, 3],\n [-8, 10, -8, 4],\n [-9, -10, -3, -4],\n [-10, -4, 7, 7],\n [-6, 3, 4, 8]]\nB =\n[[-6, -8, 3, 6, -10],\n [5, -10, -7, -7, 3],\n [-6, -10, 6, 8, 0],\n [4, -9, -7, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -3, -8, 7, 10],\n [-10, -1, -9, 8, 9],\n [-2, 0, -6, -8, 1],\n [4, -1, -1, 9, 4],\n [-7, 7, 8, -2, 3],\n [1, -8, -9, -2, -5]]\nB =\n[[-10, 9, 4, 7, -3],\n [7, 0, -2, -9, 1],\n [-1, -2, -7, -3, -3],\n [-3, -2, 4, 8, 1],\n [-10, 5, -2, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 2, -3, -5, -2, 6],\n [2, 1, 0, -7, 8, 7],\n [9, -9, -5, 4, 9, 3],\n [-3, 7, 5, -10, 10, 2],\n [2, 7, 9, 4, 7, -7],\n [-9, 5, 0, -3, 3, 0]]\nB =\n[[4, -7, -10, 2, 2, 7],\n [2, -8, -2, -3, -10, 0],\n [2, -8, -1, 4, 8, 8],\n [10, -8, 3, -1, 0, 7],\n [0, 2, 2, 9, -7, -9],\n [2, 4, 6, 0, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -4, 7, -10],\n [4, 0, 4, -4],\n [-6, 0, 2, 7],\n [8, -5, 5, -10],\n [-2, -1, -10, 6]]\nB =\n[[-5, -6, 6, -1],\n [-5, -1, -6, -7],\n [1, -6, -8, -9],\n [-6, 0, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 9, 4, -7, 8],\n [-9, 8, 4, 4, -4],\n [-9, 0, 5, -2, -1],\n [7, -5, -4, -1, -7]]\nB =\n[[-2, -10, 3, 8],\n [-8, 8, -7, -2],\n [-8, -9, -2, 2],\n [0, 9, 2, 1],\n [7, 2, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 8, -5, 8, 5, 5],\n [7, -9, -3, 7, 0, -9],\n [-7, 10, 4, -4, 10, 4],\n [1, 6, -7, -6, 10, 9],\n [-3, 0, -5, -6, -7, 2],\n [-8, -5, 4, -9, -4, 5]]\nB =\n[[3, 3, 9, -9],\n [2, -7, -8, -2],\n [-8, 7, -5, 3],\n [7, 7, -10, 6],\n [10, 9, 5, -3],\n [-10, -8, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, 1, 6],\n [-3, 6, -2, 8],\n [9, -10, -4, -6],\n [4, -8, 6, 7],\n [7, 9, -1, 5]]\nB =\n[[-1, 0, 2, 1],\n [-7, 8, 7, 1],\n [-7, 3, 3, 3],\n [6, -6, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 5, -5, 5, -8, 4],\n [-8, -10, -6, -6, -3, 0],\n [-9, -10, -5, 6, -10, -7],\n [-7, -9, -8, 3, 7, 10],\n [-9, -6, 6, -8, -6, 6]]\nB =\n[[-3, -3, -3, -3],\n [-4, 3, 7, -8],\n [-2, 10, 9, 6],\n [3, -4, 2, -6],\n [2, -3, 10, 7],\n [-10, -8, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1628", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -2, 3, 3, -4, -6],\n [-4, -1, -3, 3, 10, 6],\n [-1, 3, 2, 1, -1, 10],\n [9, 0, -7, -3, 9, -5],\n [-9, 4, 5, -6, 2, -3],\n [4, 0, 5, -2, -3, -2]]\nB =\n[[-8, -3, -8, -10, -9, -1],\n [6, 6, 1, 7, 9, -7],\n [-8, -7, 4, 9, -7, -7],\n [1, 2, 2, 7, 3, -3],\n [-10, 2, 10, 8, 8, -6],\n [-5, 4, -8, -3, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2222", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 6, 8, -1],\n [-10, 8, -5, -10],\n [6, 1, 10, 3],\n [1, 7, 10, -9],\n [3, 3, 9, -6]]\nB =\n[[10, 1, -3, -1, 4, 8],\n [7, 1, 7, 4, -7, -6],\n [-4, -10, -3, 4, -1, 1],\n [6, -1, -8, 2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1600", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 10, -6, -4, -7, 1],\n [1, 4, 1, 8, -5, -9],\n [7, 0, 6, -1, -9, 2],\n [4, -4, 4, -4, -10, -8],\n [-5, 1, 8, 4, 10, 1],\n [-5, -2, 5, -2, -3, -4]]\nB =\n[[9, 6, 7, -3],\n [-1, -10, 10, -2],\n [7, -4, -7, 5],\n [-3, 9, 7, 1],\n [4, -4, 0, 9],\n [6, 10, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1531", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -1, 6, 10, -8],\n [-5, 7, 9, 4, 3],\n [-9, 10, -10, 4, -5],\n [6, -10, 0, 3, -3]]\nB =\n[[9, 2, 10, 3, 3],\n [4, 8, 1, 6, 1],\n [-3, -7, -7, 10, -10],\n [7, 3, -1, -5, 9],\n [6, 3, -1, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -5, 0, -7, 4],\n [2, -3, -8, 4, 9],\n [0, -5, -5, -8, -5],\n [-5, 8, 10, -9, 7],\n [-6, -10, 9, -10, -3],\n [9, 8, -1, 2, 9]]\nB =\n[[-1, 10, 5, 7, 1],\n [-4, -4, -6, -7, 2],\n [2, -4, 5, -3, -1],\n [-7, 5, 9, 0, 7],\n [-3, -9, -5, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-445", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, -7, -10, -9, 5, -8],\n [-3, 8, -1, -5, 0, 8],\n [1, -10, -2, -10, -7, 3],\n [9, 1, 6, 2, 4, -6],\n [6, 10, -5, -5, 2, -8],\n [6, 9, 6, -1, -9, 0]]\nB =\n[[-8, -5, -3, 1, 6],\n [-4, -2, 0, 5, 1],\n [3, 10, 7, -2, -2],\n [6, 1, 5, 7, 3],\n [-6, 2, -4, 5, -7],\n [-10, 2, 7, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, -9, -6, -6, -10, -4],\n [3, 9, 7, 7, -1, 5],\n [1, 6, 1, -7, 0, -9],\n [-8, 7, -4, -4, -10, 8],\n [10, -7, -9, -10, 0, -8]]\nB =\n[[-7, 6, 0, -8],\n [-6, -9, 10, -10],\n [9, -6, 5, 7],\n [-8, 7, -7, 7],\n [0, 8, -3, -1],\n [-2, 1, -7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-4, 0, 7, 0],\n [-3, -6, 5, -10],\n [-10, -4, 2, -5],\n [7, -7, 7, -3]]\nB =\n[[3, 4, -1, 2, -9],\n [-9, 3, 0, -10, 7],\n [-9, -10, -6, 1, -1],\n [2, -3, 4, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, -9, 6, -7],\n [-2, 8, 9, -6, 5],\n [6, 1, -8, -5, -7],\n [5, -5, -3, -8, 3]]\nB =\n[[9, -10, 1, 2],\n [-7, -1, -5, -5],\n [6, -2, -9, -7],\n [-8, 1, -4, -1],\n [7, -2, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 6, 1, -10, -7],\n [9, 3, 7, -7, -5],\n [-8, 3, -7, 3, 5],\n [-7, 10, 9, 1, 5],\n [7, -4, 1, 2, 4]]\nB =\n[[2, -9, -2, 8],\n [2, 5, -1, 9],\n [-9, 5, 3, 7],\n [10, -1, -6, -3],\n [-4, -6, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1296", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -3, 4, -8, 10],\n [9, 0, -9, -9, 8, -5],\n [5, 9, 10, -6, 5, -9],\n [-10, -8, 8, 9, 4, -5]]\nB =\n[[-3, 0, -2, 7],\n [-4, 2, -6, 6],\n [-6, -6, 7, 9],\n [5, -1, -5, -2],\n [8, 5, 8, -4],\n [9, -6, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1479", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, 6, -3, -1, -6],\n [-3, 0, 6, -10, 9, -8],\n [5, 4, 6, 6, 9, -4],\n [-1, -3, 10, 5, 5, 8]]\nB =\n[[1, 3, 1, -4, 3, -7],\n [5, -2, -9, -9, 1, -10],\n [8, 4, 3, -3, 0, -1],\n [-7, -4, -1, -10, 2, -1],\n [-4, -8, 3, -9, -6, 7],\n [-1, 4, -7, -9, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 8, -8, 1, 6, -8],\n [8, -10, -2, 8, 7, -1],\n [2, -10, 1, 8, 6, -5],\n [-3, -5, -1, 8, -10, -7]]\nB =\n[[7, -2, -6, 2, -6, -6],\n [-2, -8, 7, 2, -7, 9],\n [-2, -4, -1, 8, 9, 0],\n [-10, -6, 10, -3, -6, 0],\n [-7, 5, 8, 2, 1, 8],\n [-8, 4, 0, -10, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 3, -5, -1, 9, 2],\n [5, -5, 6, 7, 10, -7],\n [1, -10, -3, 0, -9, -2],\n [-10, -7, -1, -4, 6, -10]]\nB =\n[[-10, 6, -6, 9],\n [-5, 8, 8, 10],\n [1, -6, 8, 1],\n [-10, 1, 6, 1],\n [-10, 10, 6, -4],\n [-3, 2, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1774", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, 0, -3, 9, 4, -1],\n [1, -1, -2, -9, -4, 6],\n [6, -6, 5, 5, -8, 9],\n [9, 2, 5, -1, -5, 9],\n [-1, -5, -2, 7, -7, 1]]\nB =\n[[-8, 2, -2, 4, 0],\n [2, 6, -9, 4, -3],\n [3, -4, 2, 0, -8],\n [-9, -6, -4, 3, -2],\n [-2, 5, 7, 8, -8],\n [10, 0, -7, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, 6, 7, -6],\n [7, 3, -5, 0, 1],\n [-9, 5, -6, 0, -4],\n [7, 1, -6, 2, -8],\n [1, -7, 10, 3, 2]]\nB =\n[[-2, 0, 6, -9, -2],\n [-4, -5, -4, -7, -5],\n [-6, 1, 3, 2, 9],\n [-4, 8, 10, -3, 3],\n [10, 6, 0, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 1, 4, -7, 0, -9],\n [9, 6, -5, -9, 6, 9],\n [6, 4, 3, 7, 2, -7],\n [7, -1, 10, 0, -4, 2]]\nB =\n[[-9, 3, -8, 3],\n [9, 3, 2, 6],\n [7, 6, -2, -8],\n [1, 0, -8, 5],\n [-8, 0, -2, 4],\n [-7, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, -1, -3],\n [5, -2, -10, -8],\n [-2, 9, -4, -6],\n [-2, -4, 4, -6]]\nB =\n[[8, -2, -2, 1, -7],\n [10, -3, 5, 4, 2],\n [-4, 7, 4, -5, -5],\n [3, 0, -2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, 3, -6, 3, 6],\n [-1, 8, -5, 8, -4, -2],\n [-10, -7, 7, 0, -4, -3],\n [7, 7, 6, -5, -10, 7]]\nB =\n[[-7, -8, 4, 5, -6, -6],\n [1, 8, -3, 5, 3, -2],\n [8, -5, 9, -6, 10, 7],\n [1, -5, 9, 4, 9, 3],\n [-4, -5, 5, -1, 9, 8],\n [6, 1, 0, -10, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -8, 5, -7, 2, 7],\n [7, -8, -10, 8, 2, 8],\n [5, -9, 10, -4, -1, 10],\n [-4, 9, -4, -3, 10, 3],\n [4, -9, 5, 7, -2, -3],\n [3, -6, 3, 6, 8, 6]]\nB =\n[[5, -8, -9, 6],\n [-3, 1, -4, -8],\n [-6, 8, -5, 8],\n [9, -1, -8, 5],\n [10, -1, 2, 4],\n [-3, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "779", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -7, -4, 0],\n [4, 2, 8, -7],\n [2, 5, 9, -2],\n [-4, -2, -5, -10]]\nB =\n[[-9, 4, -1, 9, 6, 10],\n [10, -6, -10, -10, -10, 3],\n [-10, 7, 6, 7, 6, -1],\n [7, -5, 7, 0, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -1, 0, 3],\n [10, 9, -7, 4],\n [-9, 7, -3, 8],\n [10, 7, 0, -4]]\nB =\n[[6, 7, 4, -3],\n [0, -5, 1, 5],\n [7, -3, 3, -3],\n [4, 3, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[4, -5, 7, 5, 8, -9],\n [-1, -2, -10, 8, 9, 2],\n [1, 1, 5, 8, 1, -2],\n [7, 6, -6, -6, 6, 4]]\nB =\n[[1, 3, -2, -10],\n [-3, 5, 7, 8],\n [-7, 6, -7, -8],\n [5, 9, 8, 1],\n [1, -2, 10, 6],\n [9, 1, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[5, -2, 7, -2],\n [-5, -3, -3, 4],\n [3, 6, -4, 6],\n [5, 1, -6, -1]]\nB =\n[[-6, 7, 0, 0, 5, 10],\n [9, -8, -3, -8, 0, -3],\n [2, 10, 6, -10, -3, -9],\n [-5, -7, -6, -7, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 7, -10, 1, 6],\n [-10, 0, -8, 4, -2],\n [0, -7, 10, 0, 7],\n [-2, 5, -10, 6, 5],\n [-1, 2, -2, -1, 3],\n [-6, 9, -1, -9, -2]]\nB =\n[[2, 10, -6, -5, -5, -4],\n [7, -6, 6, -8, 1, -8],\n [2, 7, -6, -6, 8, -7],\n [-6, -3, -7, 0, 1, 10],\n [-6, 5, 8, -5, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 9, 4, -5, 8],\n [-7, -4, 9, 2, -4],\n [-8, -5, -9, -10, -10],\n [-10, -7, 5, 2, 9],\n [-5, 9, -10, 7, -8]]\nB =\n[[0, 3, -1, -4],\n [10, 0, 2, -6],\n [-10, -1, -4, -7],\n [9, -1, -10, 9],\n [6, -4, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -10, 2, -4],\n [-5, -4, 4, 5],\n [-1, -3, 8, -4],\n [3, 4, -7, -3]]\nB =\n[[8, -4, 5, 8, -6],\n [7, -9, 2, 1, 9],\n [-3, -9, 10, 0, -2],\n [5, 0, 6, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[6, -3, 6, -8, -7, 1],\n [1, -5, 7, -8, -6, -6],\n [-7, -10, 5, 0, 8, -10],\n [10, 3, -2, -8, 6, 1],\n [6, -5, 6, 6, -5, 9],\n [1, -7, -5, 6, 2, 3]]\nB =\n[[3, -8, 1, -3],\n [7, 1, 6, 0],\n [5, 9, 0, -5],\n [4, -8, -5, -5],\n [2, -9, 4, -5],\n [0, 6, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 3, -9, -9],\n [-8, -4, -6, -1],\n [6, 9, 2, -2],\n [7, 3, 3, -5]]\nB =\n[[1, 1, -10, 5],\n [-9, -2, 1, 8],\n [3, 9, -1, -1],\n [3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 10, 4],\n [4, -7, -7, 5],\n [-4, 5, 6, 2],\n [0, 9, 1, 9]]\nB =\n[[7, -3, 3, 5, -7, -9],\n [-2, 2, 10, -2, 7, -5],\n [9, 0, 10, 9, -5, -5],\n [-7, -10, 1, -1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[-6, -4, -6, -2],\n [8, -5, 7, -3],\n [-6, -4, -8, 5],\n [2, 2, 5, -7],\n [3, -8, 7, -3],\n [5, 7, 3, 9]]\nB =\n[[1, 1, -9, 2],\n [-3, 4, -7, -2],\n [10, -7, -5, -4],\n [-7, -10, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-9, 6, 9, -5, -9, -5],\n [-5, -6, 10, 7, -5, -6],\n [9, -2, -4, -4, 1, 0],\n [-4, -9, 9, 4, 8, -10],\n [-3, 5, 3, -8, -3, -7],\n [-8, 7, 8, -3, 6, 0]]\nB =\n[[8, 6, -5, 8, 1, -9],\n [-3, -9, 0, -7, -3, 8],\n [2, 1, -8, -10, 6, 5],\n [8, -8, -2, -9, 10, -2],\n [-2, 1, -3, 0, 0, 1],\n [-7, 8, -9, 2, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 10, 10, -10, 4],\n [2, -10, -8, 3, 9],\n [-10, -7, 10, 3, -6],\n [6, -1, 7, 1, -8]]\nB =\n[[-8, 4, -10, 4, 7, -4],\n [1, 4, 4, 8, 2, -4],\n [9, 0, 1, 6, 2, -1],\n [10, 6, -6, 0, 2, -6],\n [-3, 2, 2, 7, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-3, 8, -4, -9, 10, -4],\n [-9, 7, -10, 10, 9, -2],\n [-6, 4, 3, 1, 4, -4],\n [-3, 9, 8, -8, 9, -3],\n [-10, 0, -2, -4, 1, -7]]\nB =\n[[3, -6, -5, 0, -3],\n [9, -9, -1, 2, -2],\n [5, -6, 7, 4, -3],\n [-7, -5, 7, -3, 3],\n [-4, -2, -7, -1, 7],\n [1, 6, -5, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-5, 10, 7, 7, -8, 4],\n [10, -2, 9, 6, -4, 6],\n [0, 8, -4, 3, 8, -2],\n [2, 7, -2, -5, 5, 4]]\nB =\n[[-10, 1, 7, 9],\n [-1, 7, -1, -9],\n [-9, -10, -6, -4],\n [-7, 6, 0, -7],\n [-2, 9, 9, -6],\n [-10, -7, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 9, 3, 2, -8, 4],\n [-10, 7, 4, -7, 3, 2],\n [3, -5, -3, -1, -10, 9],\n [0, -6, 4, -8, -6, 7]]\nB =\n[[7, 8, -8, 2, 4, -4],\n [0, 1, 9, -6, 1, -5],\n [-1, -3, 3, 10, 5, 10],\n [-3, -8, -2, -2, -3, -4],\n [-3, 9, -9, -3, 4, 4],\n [5, -3, 1, -6, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 9, -9, -4, -1, -9],\n [6, -3, 4, 7, -10, -10],\n [-3, -8, 2, -1, 8, -9],\n [6, -5, 7, 3, 1, -1],\n [5, -2, -3, 6, -8, 3],\n [-3, 1, 10, 1, -3, -9]]\nB =\n[[-10, -10, 1, -9, -5],\n [-3, 2, 1, 3, 0],\n [-1, 1, -2, -7, -6],\n [-10, -5, 2, 9, 9],\n [-1, -1, -1, -7, 1],\n [0, 10, -7, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-599", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -2, -4, 10, -9],\n [-6, 7, -6, -5, 6],\n [4, 3, -8, -8, -9],\n [-10, 10, 0, -7, -9]]\nB =\n[[10, -5, 0, 3, -10],\n [7, 7, 6, 2, 5],\n [-1, -4, -1, 2, 1],\n [4, 2, -5, 7, 4],\n [-3, 3, 9, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, -3, 9, 4, 6],\n [-4, 4, 9, 8, 6],\n [-3, -1, 7, 7, 8],\n [0, 9, 1, 7, -1],\n [7, -10, 9, -2, -6],\n [4, 0, -9, -4, 4]]\nB =\n[[8, 6, -3, -1],\n [-5, 9, -3, 10],\n [4, 2, -9, -7],\n [7, 9, 10, -3],\n [-7, 10, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -7, -1, 7],\n [-1, 4, 6, 2],\n [-9, 6, -9, 7],\n [7, -4, 7, 0]]\nB =\n[[6, -4, -7, -9, -4, 10],\n [-1, -5, -1, -5, -3, -5],\n [-7, -3, -5, 0, -1, 8],\n [-6, 1, -2, -6, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 0, 5, 3],\n [2, 10, 6, 6],\n [-10, 9, 7, -7],\n [6, 1, 6, 4],\n [-4, 6, 3, 10]]\nB =\n[[6, -2, -4, -2, -6],\n [-6, -4, 2, 2, 0],\n [1, -5, -7, -10, 3],\n [-9, -9, -3, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -1, 6, 8],\n [4, -2, -2, 0],\n [10, 1, -3, 1],\n [4, -8, 5, 0],\n [-3, 2, 2, -9]]\nB =\n[[-7, 6, 4, 8],\n [-4, -4, -10, -9],\n [9, 1, -5, 7],\n [-8, 0, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -10, -7, -3],\n [-2, 10, 8, -7],\n [7, 7, -6, -7],\n [-8, -6, -8, 5]]\nB =\n[[-7, -10, -5, 9],\n [6, -8, 7, -9],\n [0, -10, 5, 7],\n [8, 7, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 2, 6, 7],\n [7, 1, 10, 3],\n [-1, -9, 2, -4],\n [-9, -5, -5, 0]]\nB =\n[[-3, -4, 6, -7],\n [-2, 6, -4, -6],\n [-4, 6, 8, -10],\n [8, -9, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -8, -1, -5],\n [3, -6, -5, -8],\n [0, -3, 8, 9],\n [9, 8, 2, 2],\n [4, -8, 0, -6],\n [-2, 7, 5, 4]]\nB =\n[[10, 10, 8, -1, -7],\n [10, 5, -1, -8, 10],\n [1, -10, -5, -1, -8],\n [-2, -1, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1693", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 6, 0, -3, 8],\n [3, -10, 7, -1, -2],\n [0, 10, -1, -3, -4],\n [-3, -2, -3, 2, -2],\n [-7, 7, 2, -8, -9],\n [4, -1, 1, 1, -7]]\nB =\n[[10, 9, 2, 10, 6, -9],\n [-1, -9, 4, -8, -4, 5],\n [-10, 9, 9, 0, -4, -2],\n [-5, 1, -1, -1, 4, -7],\n [-2, -9, -10, 3, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2354", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -1, 6, 6, -3, -9],\n [-10, -9, -3, 0, 0, 2],\n [2, -2, -5, 9, 5, -7],\n [-9, -4, -5, -1, 10, 10],\n [7, -7, 8, -6, 1, 9],\n [3, -9, -10, 9, 1, 1]]\nB =\n[[-5, -2, 9, -10],\n [-4, 10, 1, -10],\n [-2, -9, 0, -10],\n [-10, -5, -2, -3],\n [-4, -6, 7, -9],\n [-3, -6, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-379", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -9, 4, -4, -3, -4],\n [10, -9, -4, -7, -9, -7],\n [5, 5, -6, -3, 2, 7],\n [8, -8, 2, 4, 8, -7],\n [9, 8, -3, 4, -8, -8]]\nB =\n[[0, -6, -3, 10],\n [-3, 6, 7, 3],\n [-4, -2, 2, 8],\n [9, 10, 9, -10],\n [3, -4, 7, -3],\n [-7, -4, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 6, -2, 10, -9],\n [3, 4, 1, -3, -1],\n [4, 10, 3, 1, 4],\n [-3, -3, 6, 5, 5],\n [0, 8, -1, 10, -7],\n [0, 8, 6, 4, -2]]\nB =\n[[5, 7, 0, 0, 1, -1],\n [-2, -9, -2, -6, 0, -5],\n [-5, -3, 6, -6, -8, 1],\n [-4, -9, 1, -4, -9, -4],\n [8, 6, 5, -4, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1938", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 9, 2, 3],\n [-7, 2, 2, -5],\n [6, -10, 4, 6],\n [-10, -10, -7, 0],\n [-5, -7, -9, 1],\n [-8, -6, -2, -8]]\nB =\n[[-7, -7, 1, -5],\n [9, -7, 4, 3],\n [-8, -5, -3, 4],\n [10, -1, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}