messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 14/20 - 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/20 - 20/20. LCD = 10. Result = -3/10.\n</reasoning>\nFinal Answer: -3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [74, 4, 22, 51, 79, 49, 69, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 370/8 = 46.25.\n</reasoning>\nFinal Answer: 46.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 10, 13, 14, 18] and B = [1, 2, 8, 10, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 6, 8, 10, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 6, 8, 10, 13, 14, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 852 + 412"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 852 and 412: 852 + 412 = 1264.\n</reasoning>\nFinal Answer: 1264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -222 mod -62"
},
{
"role": "assistant",
"content": "<reasoning>\n-222 mod -62: -222 = -62 × 3 + -36, so remainder = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 241 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 241 × (1 + 50/100) = 241 × 1.5 = 361.5.\n</reasoning>\nFinal Answer: 361.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -130 ÷ -947"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -130 by -947. -130 ÷ -947 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 15 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+15) × 10 = 95.0.\n</reasoning>\nFinal Answer: 95.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 488 + 736"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 488 and 736: 488 + 736 = 1224.\n</reasoning>\nFinal Answer: 1224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 9, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (33-1)×9 = 6 + 288 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 73 = 3540.5.\n</reasoning>\nFinal Answer: 3540.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:35 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/35, so B = A × (35/42) = 11 × 35/42 = 9.1667.\n</reasoning>\nFinal Answer: 9.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 697 mod -232"
},
{
"role": "assistant",
"content": "<reasoning>\n697 mod -232: 697 = -232 × -4 + -231, so remainder = -231.\n</reasoning>\nFinal Answer: -231"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 12 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 44/60 = 12.7333 hours. Distance = speed × time = 157 × 12.7333 = 1999.1333 km.\n</reasoning>\nFinal Answer: 1999.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 250 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 250 × (1 + 60/100) = 250 × 1.6 = 400.0.\n</reasoning>\nFinal Answer: 400.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 10 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 47+100-31=116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 22, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 22 + 23 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×24)/1 = 888.\n</reasoning>\nFinal Answer: 888"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 14 mod -660"
},
{
"role": "assistant",
"content": "<reasoning>\n14 mod -660: 14 = -660 × -1 + -646, so remainder = -646.\n</reasoning>\nFinal Answer: -646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/15 + 10/5. Common denominator = 15. Result = 46/15.\n</reasoning>\nFinal Answer: 46/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -50 = -302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 28x = -252. Divide by 28: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 * 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/16) × (4/1) = (32/16) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 24 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 6+576-19=563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 7 * 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×2=14, then 42+14-26=30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 51 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 51 + 51 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -323 ÷ -278"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -323 by -278. -323 ÷ -278 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 686 ÷ 506"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 686 by 506. 686 ÷ 506 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 28, 61, 36, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 287/5 = 57.4.\n</reasoning>\nFinal Answer: 57.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 / 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/11) ÷ (10/10) = (18/11) × (10/10) = 18/11.\n</reasoning>\nFinal Answer: 18/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (34-1)×1 = 14 + 33 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 * 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/15) × (12/14) = (132/210) = 22/35 after simplification.\n</reasoning>\nFinal Answer: 22/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 12, 13] and B = [1, 2, 4, 5, 9, 11, 12, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 13].\n</reasoning>\nFinal Answer: [7, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 242 + 928"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 242 and 928: 242 + 928 = 1170.\n</reasoning>\nFinal Answer: 1170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-40)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×5×0 = 1600. √discriminant = 40. x = (-(-40) ± 40) / (2×5). Solutions: x = 0 or x = 8.\n</reasoning>\nFinal Answer: x = 0 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -17 = 940"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 29x = 957. Divide by 29: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 24 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+24) × 1 = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 22 = -183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 5x = -205. Divide by 5: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 62 = 1364.\n</reasoning>\nFinal Answer: 1364"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 + 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/1 + 14/4. Common denominator = 2. Result = 41/2.\n</reasoning>\nFinal Answer: 41/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹502. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 502 × 28/100 = 140.56. Total = 502 + 140.56 = 642.56.\n</reasoning>\nFinal Answer: 642.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 43 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 8x = -32. Divide by 8: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 183."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,183) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 6) * (49 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+6)=12, (49-28)=21, then 12×21=252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -41 - 970"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 970 from -41: -41 - 970 = -1011.\n</reasoning>\nFinal Answer: -1011"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 169 × 389"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 169 by 389: 169 × 389 = 65741.\n</reasoning>\nFinal Answer: 65741"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+23) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 9, 12, 13, 18] and B = [2, 6, 8, 10, 11, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-7)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -7² - 4×1×12 = 1. √discriminant = 1. x = (-(-7) ± 1) / (2×1). Solutions: x = 3 or x = 4.\n</reasoning>\nFinal Answer: x = 3 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 549 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 549 × (1 - 100/100) = 549 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 25% of 961?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 961 = (25/100) × 961 = 240.25.\n</reasoning>\nFinal Answer: 240.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 15] and B = [6, 12, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6].\n</reasoning>\nFinal Answer: [6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [9, 11, 13, 14, 16, 17] and B = [8, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14, 17].\n</reasoning>\nFinal Answer: [14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 124 ÷ 214"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 124 by 214. 124 ÷ 214 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 94 = 2820.0.\n</reasoning>\nFinal Answer: 2820.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 38) * (43 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+38)=68, (43-49)=-6, then 68×-6=-408.\n</reasoning>\nFinal Answer: -408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 909 × 896"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 909 by 896: 909 × 896 = 814464.\n</reasoning>\nFinal Answer: 814464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9380 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9380 × 14 × 9 / 100 = 11818.8.\n</reasoning>\nFinal Answer: 11818.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -206 + -933"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -206 and -933: -206 + -933 = -1139.\n</reasoning>\nFinal Answer: -1139"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 10, 12, 16, 18, 19] and B = [7, 10, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 12, 16, 19].\n</reasoning>\nFinal Answer: [2, 5, 12, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "43 is what percentage of 637?"
},
{
"role": "assistant",
"content": "<reasoning>\n(43/637) × 100 = 6.7504%.\n</reasoning>\nFinal Answer: 6.7504%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 12 = -996"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 21x = -1008. Divide by 21: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:19 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/19, so B = A × (19/5) = 95 × 19/5 = 361.0.\n</reasoning>\nFinal Answer: 361.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 779 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 779 × (1 + 65/100) = 779 × 1.65 = 1285.35.\n</reasoning>\nFinal Answer: 1285.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -217 mod -749"
},
{
"role": "assistant",
"content": "<reasoning>\n-217 mod -749: -217 = -749 × 0 + -217, so remainder = -217.\n</reasoning>\nFinal Answer: -217"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 11 = 416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 27x = 405. Divide by 27: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36532 at 11% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36532 × 11 × 3 / 100 = 12055.56.\n</reasoning>\nFinal Answer: 12055.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (7)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 7² - 4×1×0 = 49. √discriminant = 7. x = (-(7) ± 7) / (2×1). Solutions: x = -7 or x = 0.\n</reasoning>\nFinal Answer: x = -7 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 94, 19, 37, 8, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 37, 61, 94, 94]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [12, 47, 1, 75, 64, 25, 78, 81, 13, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {12: 1, 47: 1, 1: 1, 75: 1, 64: 1, 25: 1, 78: 1, 81: 1, 13: 1, 49: 1}. Most frequent: [12, 47, 1, 75, 64, 25, 78, 81, 13, 49].\n</reasoning>\nFinal Answer: [12, 47, 1, 75, 64, 25, 78, 81, 13, 49]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:27 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/27, so B = A × (27/46) = 35 × 27/46 = 20.5435.\n</reasoning>\nFinal Answer: 20.5435"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -471 mod 443"
},
{
"role": "assistant",
"content": "<reasoning>\n-471 mod 443: -471 = 443 × -2 + 415, so remainder = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 38) * (48 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+38)=62, (48-9)=39, then 62×39=2418.\n</reasoning>\nFinal Answer: 2418"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×8)/1 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 38 = 837"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 17x = 799. Divide by 17: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 10, 11, 16] and B = [1, 9, 10, 12, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 4, 11, 16].\n</reasoning>\nFinal Answer: [2, 3, 4, 11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -119 - 586"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 586 from -119: -119 - 586 = -705.\n</reasoning>\nFinal Answer: -705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 83, 79, 95, 17, 58, 5, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 83: 1, 79: 1, 95: 1, 17: 1, 58: 1, 5: 1, 56: 1}. Most frequent: [60, 83, 79, 95, 17, 58, 5, 56].\n</reasoning>\nFinal Answer: [60, 83, 79, 95, 17, 58, 5, 56]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -187 ÷ -924"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -187 by -924. -187 ÷ -924 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 21 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 21 = 84 worker-days. New time = 84 / 3 = 28.0 days.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+23) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the square root of 100."
},
{
"role": "assistant",
"content": "<reasoning>\n√100 = 10 because 10² = 100.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 46) * (11 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+46)=71, (11-8)=3, then 71×3=213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 9, 66, 74, 86, 95, 24, 47, 71, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 9 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 - 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/11 - 3/20. LCD = 220. Result = 227/220.\n</reasoning>\nFinal Answer: 227/220"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 938 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 938 × (1 + 50/100) = 938 × 1.5 = 1407.0.\n</reasoning>\nFinal Answer: 1407.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -923 ÷ -690"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -923 by -690. -923 ÷ -690 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 32, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 32 + 40 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 10, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (40-1)×10 = 16 + 390 = 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 310 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 310 × (1 - 30/100) = 310 × 0.7 = 217.0.\n</reasoning>\nFinal Answer: 217.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 19 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 5x = 160. Divide by 5: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 50 + 6 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×50=2300 and 6×15=90, then add: 2390.\n</reasoning>\nFinal Answer: 2390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 13 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 13 = 234 worker-days. New time = 234 / 2 = 117.0 days.\n</reasoning>\nFinal Answer: 117.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3226. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3226 × 5/100 = 161.3. Total = 3226 + 161.3 = 3387.3.\n</reasoning>\nFinal Answer: 3387.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 - 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/20 - 1/8. LCD = 40. Result = 27/40.\n</reasoning>\nFinal Answer: 27/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32906 at 7% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32906 × 7 × 8 / 100 = 18427.36.\n</reasoning>\nFinal Answer: 18427.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 80 = 1240.0.\n</reasoning>\nFinal Answer: 1240.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -24 = 834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 22x = 858. Divide by 22: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×0 = 784. √discriminant = 28. x = (-(-28) ± 28) / (2×4). Solutions: x = 0 or x = 7.\n</reasoning>\nFinal Answer: x = 0 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 33, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 33 + 38 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+16) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
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