problem_latex
string | solution_latex
string | problem_english
string |
|---|---|---|
\frac{\log{\left(- 1683 x - 3994 \right)}}{\log{\left(10 \right)}} - 1314 = 7075
|
x \in \left\{- \frac{90909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090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Solve for x: logarithm of 10 to the power of -1 times logarithm of -1683 times x minus 3994 minus 1314 equals 7075.
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- 8082 x^{3} + 7176816 x^{2} + 507081838086 x - 854587156655200 = -3100
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x \in \left\{-8259, 1725, 7422\right\}
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Solve for x: -8082 times x cubed plus 7176816 times x squared plus 507081838086 times x minus 854587156655200 equals -3100.
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\left(4395 - 5061 x\right)^{4} - 722 = 1662048169649903
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x \in \left\{- \frac{1990}{5061}, \frac{1540}{723}\right\}
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Solve for x: 4395 minus 5061 times x to the power of 4 minus 722 equals 1662048169649903.
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10^{1825 x - 8434} - 963 = 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999037
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x \in \left\{\frac{2479}{365}\right\}
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Solve for x: 10 to the power of 1825 times x minus 8434 minus 963 equals 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999037.
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\log{\left(- 7012 x - 6075 \right)} - 1901 = -1901 + \log{\left(7763 \right)}
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x \in \left\{- \frac{6919}{3506}\right\}
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Solve for x: logarithm of -7012 times x minus 6075 minus 1901 equals -1901 plus logarithm of 7763.
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\frac{\log{\left(7318 x + 2586 \right)}}{\log{\left(2 \right)}} + 7658 = 9012
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x \in \left\{\frac{196600280608252263522870906249372667174897313179027903536714584679462909641225244410186392406873503839146604350432307440626442097005924887335315746252125826273421252503442603256077198363684396985034782923893470576602968266572910198514003529262116725083827571245782151542414477538713811987347163372463313674838217678774067660965751476817647007584938155912139874760633375375742901861646428618837472313964755699}{3659}\right\}
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Solve for x: logarithm of 2 to the power of -1 times logarithm of 7318 times x plus 2586 plus 7658 equals 9012.
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232 x - 4476 = -9188
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x \in \left\{- \frac{589}{29}\right\}
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Solve for x: 232 times x minus 4476 equals -9188.
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- 2083 x^{2} - 7334243 x - 6455918427 = 6793
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x \in \left\{-1765, -1756\right\}
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Solve for x: -2083 times x squared minus 7334243 times x minus 6455918427 equals 6793.
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e^{5102 - 5150 x} - 9424 = -6536
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x \in \left\{\frac{2551}{2575} - \frac{\log{\left(2888 \right)}}{5150}\right\}
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Solve for x: exponential of 5102 minus 5150 times x minus 9424 equals -6536.
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3^{- 4842 x - 4032} + 3578 = 35361494111565515095642540603348827409264130159785118503374502044346651492838099812956680332483805023015002683058380639389100100439210525096194806368674403293638447031692104902847586122784069670577725325412647187712909362660709558018424035336551565866797426248995846841783074257719892671480776159437775958804292314533285356898195294541715603063785278740730572454888883990651631834738891767767475370654182112013628030763107460653120987244168165528600722361886460685000090406202681033496666068195482634814775476197671148776144179003354791882122982793499278271723698382180268271799074373126483379681072690699252822899852811834083655682693376509507928172554279101132747372124465641675231403326967607776214036451152186036958467341975550107774857233344098355429360703015362533953324246940283616818093619576449804666432916730523696366054840861620917660585926832818584707803400335246849985901907126093805728233489476509616697856198312863065580916209682458196039820121716647824169509509123181759324592830656854713197724111132413663439536809100112286091747833726065435155428785879537378193633884845486787461569419541384414550318794620434256388397361912289913389361144183799215008669446549490811779156434904066909318564996144969419716731286701430012381272139210014193510312197643038952277588056530181348413246163146626465178936225634945736593141209534178808657717386170310590575473571044777118301399043236730903283270066644875600850325915328485529834215048774933894691042916691475291840144814579441909477991267309746997425082670886436138349335627785145627835528896751877126907883526972881316841454375920013703053014206786419088041935739333177596719403037211090676062875003516175964127904062835905876079460137641009051017041815429372967783672589086395983791997258421767862429414852438205369967691973552538908095085369249500774749511470025446722863617029883735083936404378788445058904916595970302581087766138551313407452536269214196032101283775101267135937456436762658318544217857059894416479018247059070732561940072024640331901191977268212379814132175476274647149831283527937311673061674595786577394082707361282941801654255680513249171173865602846611643320394843021142961126321308848338454029643886697459378019944845651525
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x \in \left\{- \frac{8663}{4842}\right\}
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Solve for x: 3 to the power of -4842 times x minus 4032 plus 3578 equals 35361494111565515095642540603348827409264130159785118503374502044346651492838099812956680332483805023015002683058380639389100100439210525096194806368674403293638447031692104902847586122784069670577725325412647187712909362660709558018424035336551565866797426248995846841783074257719892671480776159437775958804292314533285356898195294541715603063785278740730572454888883990651631834738891767767475370654182112013628030763107460653120987244168165528600722361886460685000090406202681033496666068195482634814775476197671148776144179003354791882122982793499278271723698382180268271799074373126483379681072690699252822899852811834083655682693376509507928172554279101132747372124465641675231403326967607776214036451152186036958467341975550107774857233344098355429360703015362533953324246940283616818093619576449804666432916730523696366054840861620917660585926832818584707803400335246849985901907126093805728233489476509616697856198312863065580916209682458196039820121716647824169509509123181759324592830656854713197724111132413663439536809100112286091747833726065435155428785879537378193633884845486787461569419541384414550318794620434256388397361912289913389361144183799215008669446549490811779156434904066909318564996144969419716731286701430012381272139210014193510312197643038952277588056530181348413246163146626465178936225634945736593141209534178808657717386170310590575473571044777118301399043236730903283270066644875600850325915328485529834215048774933894691042916691475291840144814579441909477991267309746997425082670886436138349335627785145627835528896751877126907883526972881316841454375920013703053014206786419088041935739333177596719403037211090676062875003516175964127904062835905876079460137641009051017041815429372967783672589086395983791997258421767862429414852438205369967691973552538908095085369249500774749511470025446722863617029883735083936404378788445058904916595970302581087766138551313407452536269214196032101283775101267135937456436762658318544217857059894416479018247059070732561940072024640331901191977268212379814132175476274647149831283527937311673061674595786577394082707361282941801654255680513249171173865602846611643320394843021142961126321308848338454029643886697459378019944845651525.
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3^{9171 - 7776 x} - 985 = 351115528885861309017925525326437333247549727509988004163256098116514975571017713451384679247127191953666420757187260540246463408242501406676817697718651452982200116495004825994844369136578644614673172659465187025021269540910449341046368731075020568877310962868489305098148619228512608672036290407099607035573185032923985488225531117393513079371891069930653973201294077344738568748158567278720997823725358305028225811752690532402628645942888100608503182440878647388843952318305656460477418721424780127942861568793553852023834166661336951998021218690724376286811324133313260795250824361137509390550429785395924812023319845566486752747688654864448811626464799203813708639936907930292157279069497173502699650488130624811549408464842775486702682233421776247023546864853016127165180169772496528456132610243720995868834218900997266178637205627448056978285362397145395257950152412972750059282211149465068555175697905957793792400399889349937790132821403454476640737297609679711366372436775868574225719951548135923307658807453854684280862523639258326790309861719602874897490553273716993039798038541140352857733563988272694300493543024337494633307922164842994010059191589918150769735226355285454006540204123347304944301806895718812165243240108565194148326343416845437670675672252030507423171703279160852916440069052351937475844741486741691284314261816376414571246808577051270804821366727167775821956188579459465796566103977709630533187841864899162183756980930138893174382942505429776844447618852382994056719260007132954655036203372344785378826586219141830460059341496771984390231397048638822214164901974071252227284571025088154484155906592078119966918065762
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x \in \left\{\frac{715}{972}\right\}
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Solve for x: 3 to the power of 9171 minus 7776 times x minus 985 equals 351115528885861309017925525326437333247549727509988004163256098116514975571017713451384679247127191953666420757187260540246463408242501406676817697718651452982200116495004825994844369136578644614673172659465187025021269540910449341046368731075020568877310962868489305098148619228512608672036290407099607035573185032923985488225531117393513079371891069930653973201294077344738568748158567278720997823725358305028225811752690532402628645942888100608503182440878647388843952318305656460477418721424780127942861568793553852023834166661336951998021218690724376286811324133313260795250824361137509390550429785395924812023319845566486752747688654864448811626464799203813708639936907930292157279069497173502699650488130624811549408464842775486702682233421776247023546864853016127165180169772496528456132610243720995868834218900997266178637205627448056978285362397145395257950152412972750059282211149465068555175697905957793792400399889349937790132821403454476640737297609679711366372436775868574225719951548135923307658807453854684280862523639258326790309861719602874897490553273716993039798038541140352857733563988272694300493543024337494633307922164842994010059191589918150769735226355285454006540204123347304944301806895718812165243240108565194148326343416845437670675672252030507423171703279160852916440069052351937475844741486741691284314261816376414571246808577051270804821366727167775821956188579459465796566103977709630533187841864899162183756980930138893174382942505429776844447618852382994056719260007132954655036203372344785378826586219141830460059341496771984390231397048638822214164901974071252227284571025088154484155906592078119966918065762.
|
1609 x + 15513 = 13828
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x \in \left\{- \frac{1685}{1609}\right\}
|
Solve for x: 1609 times x plus 15513 equals 13828.
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5109 + \frac{1}{- 5554 x - 5032} = -88
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x \in \left\{- \frac{26151303}{28864138}\right\}
|
Solve for x: 5109 plus -5554 times x minus 5032 to the power of -1 equals -88.
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\frac{\log{\left(3673 - 2751 x \right)}}{\log{\left(2 \right)}} + 1103 = -4469
|
x \in \left\{\frac{2673224995914347471478070279239020814586981777091289910214694958552114504781597635398848778586775146833547702753571298257860407432516101936075577076850869951366703001267261692970237079176239182561353072517915366912764212550019279494138409728382685873292460212392178082991912905610379789008479761795006800381637321801462482166920264644309233415911620063229904316588606602605508075773787511328749297943392481299604445593489993641475646964214043318722533577886023923510730518001194385416090400041825482544387741175428606997715561791007088188368370112365280832009787923645664625338847896631810923302053833830226300064516471736826362821481598017789181994331351896794527332061570286336053880541250326743485692739542097943840474619891146608391524788567973478529092353028206200978384216187384875170277387553700458670684340070881508513478573465170040959550411077076182347507856347110766595361872095282511485095252305769782055488671731312399025481854786994848844978149126368854431594931187706367270570736260842317634586673323991752693213075156160068457809879742881334393357580801687900852982257669530102659392483888046278710147921362735479817659088506568084810115153158831843572372245629957562089238794877181639180978699180675809497274535577144127862342197425719551575814381014129435446999436578020046061589481443440615282545996248280014741191880721729661817039706317891280501057097100182744145288832576560703139594848733073109094551761564540883623409506341986056327188213943596063565277669304423957159067154289758580203167491488433153989016230086335224429616973539440858833660906709302853252668831295218927258959481444603395763387720302869123524607711946220483418850342126343735850848048469}{2002189481012896785743580544020295742153222670508613815137660177233015791629233622374689079741959822744102839715511745577831195438837951654272777712610058055053035653821463903447079282552092020480882739585294085046832112367302760111182892775056022008556373004163049797525388620564703185287864912795552329934626809767444401971466824948678110843227026080573228090099443714611421921168987052454502945451204115452004309781565742583092704818555086623960166042135707000701883924590603254636445600466937626593958800972938768813154236451690852057228801028891066585586421611203164547864734702867985801797971711643602654908109124352847624318512353974118714856086454960000475004220359340514697583819488061222795845555807326829160126784459718028773505225524229523396006823626625444838424987403075358451792293264424166023156171939829847514451281133319570563496646031319514739448438010046751675426221109208328095697533104593702813680733986615956906915486664585578320864385583076699847894815055099432714767246243827175554791162078492053269542382182030043105754146249024380864722761988958185474150337829805965808872508351760226717020672929181950715594923082376477351654447683078247118866334802072761586576619849476365201979962277712810216989449325544104478438166381201874866611860106144861670213844276104858893393047495481931021585634543702238103190542843854696340505372197255353296598985603757889775031194777598283239048578509306867171007867156017416511843057976260179949930513628868165224088992174372530940537364947216404611738025887470625271925850522055051022563652111898122148489287872935515735935735064837263514673981337899249045760854493109980619710268326722719816296567162965319173885919232}\right\}
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Solve for x: logarithm of 2 to the power of -1 times logarithm of 3673 minus 2751 times x plus 1103 equals -4469.
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\frac{\log{\left(8102 - 539 x \right)}}{\log{\left(3 \right)}} - 6118 = -3603
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x \in \left\{- \frac{130273949541230419239498285465046103350005048389972076282330584817009528169002778164255346624145268185475163852137613699595536604609369340733167847544922309028621474158985316931370148992120617631488825206530003819430588917743541645242616320183578728517002195582747611091361765127454195178880770530566698154513679587427964930579156428850867286782949407820665776173202827582589539748615336546409069118601800044362556485114072424271846349438968446338788129344405250753503924659712171928147589826110023332933746996424343283638254586947444158934291825218162585794135459190816105839200446912612236597896094376564278833066972081773933729957405514758959719817893554439250037964213228291588206622927990058853002768712159804777364958287646999646464588621294157504699244444360228595799021019686355670502147057083675641193657136805085020253058292501656299850259217316160817166741692524587567475459959643629918936027294805516739376534174650110910666595321527127459053598393743305429904165086526650438814073853626814294006969115269292476269040400989270116700150387676781065815987862153826264792527036464787183741148412954615308501736014238822530905477949312506470281734120482431530722737539149910941028646553670115}{77}\right\}
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Solve for x: logarithm of 3 to the power of -1 times logarithm of 8102 minus 539 times x minus 6118 equals -3603.
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9469 x^{5} + 13256600 x^{4} - 147561780699 x^{3} - 154493111292034 x^{2} + 68033987355799432 x + 65140664965108220302 = 1486
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x \in \left\{-4136, -1067, -618, 673, 3748\right\}
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Solve for x: 9469 times x to the power of 5 plus 13256600 times x to the power of 4 minus 147561780699 times x cubed minus 154493111292034 times x squared plus 68033987355799432 times x plus 65140664965108220302 equals 1486.
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\left|{6500 x + 6739}\right| + 8727 = 14762
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x \in \left\{- \frac{6387}{3250}, - \frac{176}{1625}\right\}
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Solve for x: Abs(6500*x + 6739) plus 8727 equals 14762.
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\tan{\left(2 x + 3150 \right)} + 8499 = 8498
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x \in \left\{\frac{n \pi}{2} - 1575 + \frac{4011 \pi}{8}\; \middle|\; n \in \mathbb{Z}\right\}
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Solve for x: tangent of 2 times x plus 3150 plus 8499 equals 8498.
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1417 x^{4} + 6285812 x^{3} - 159875100905 x^{2} - 432831217539084 x + 3904247458265792379 = 5019
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x \in \left\{-9864, -7483, 4371, 8540\right\}
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Solve for x: 1417 times x to the power of 4 plus 6285812 times x cubed minus 159875100905 times x squared minus 432831217539084 times x plus 3904247458265792379 equals 5019.
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\sin{\left(3 x + 7295 \right)} + 1651 = \frac{3301}{2}
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x \in \left\{\frac{2 n \pi}{3} - \frac{7295}{3} + \frac{13939 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{7295}{3} + \frac{13943 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\}
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Solve for x: sine of 3 times x plus 7295 plus 1651 equals 3301 over 2.
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4703 x^{3} - 28566022 x^{2} - 270024367535 x + 1508155149626808 = 5954
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x \in \left\{-7439, 5162, 8351\right\}
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Solve for x: 4703 times x cubed minus 28566022 times x squared minus 270024367535 times x plus 1508155149626808 equals 5954.
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- 1351 x^{4} + 15042034 x^{3} - 4957417493 x^{2} - 144433193562910 x + 116082057274027643 = -1357
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x \in \left\{-2975, 836, 3555, 9718\right\}
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Solve for x: -1351 times x to the power of 4 plus 15042034 times x cubed minus 4957417493 times x squared minus 144433193562910 times x plus 116082057274027643 equals -1357.
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970 x^{3} + 18995510 x^{2} + 104493418780 x + 109881648380117 = 4277
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x \in \left\{-9481, -8734, -1368\right\}
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Solve for x: 970 times x cubed plus 18995510 times x squared plus 104493418780 times x plus 109881648380117 equals 4277.
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\cos{\left(2 x - 5495 \right)} - 2886 = - \frac{5773}{2}
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x \in \left\{n \pi - \frac{2623 \pi}{3} + \frac{5495}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{2621 \pi}{3} + \frac{5495}{2}\; \middle|\; n \in \mathbb{Z}\right\}
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Solve for x: cosine of 2 times x minus 5495 minus 2886 equals -5773 over 2.
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2050 x^{4} - 19208500 x^{3} - 43353467650 x^{2} + 605235067560100 x - 955620524471885197 = 803
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x \in \left\{-5740, 2158, 4401, 8551\right\}
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Solve for x: 2050 times x to the power of 4 minus 19208500 times x cubed minus 43353467650 times x squared plus 605235067560100 times x minus 955620524471885197 equals 803.
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7243 x^{2} + 30022235 x - 121253084158 = -5740
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x \in \left\{-6659, 2514\right\}
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Solve for x: 7243 times x squared plus 30022235 times x minus 121253084158 equals -5740.
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\sqrt{- 9664 x - 6190} + 640 = 4853
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x \in \left\{- \frac{17755559}{9664}\right\}
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Solve for x: -9664 times x minus 6190 to the power of 1 over 2 plus 640 equals 4853.
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\log{\left(e^{- 3895 x - 2410} + 2493 \right)} - 4822 = -4822 + \log{\left(10362 \right)}
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x \in \left\{- \frac{482}{779} - \frac{\log{\left(7869 \right)}}{3895}\right\}
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Solve for x: logarithm of exponential of -3895 times x minus 2410 plus 2493 minus 4822 equals -4822 plus logarithm of 10362.
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10^{6414 x - 2884} + 3418 = \frac{34180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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x \in \left\{- \frac{6113}{6414}\right\}
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Solve for x: 10 to the power of 6414 times x minus 2884 plus 3418 equals 34180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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over 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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\left|{4216 x - 9163}\right| + 2578 = 10837
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x \in \left\{\frac{113}{527}, \frac{281}{68}\right\}
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Solve for x: Abs(4216*x - 9163) plus 2578 equals 10837.
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6248 x^{4} + 34963808 x^{3} - 58804632744 x^{2} - 484546773873888 x - 424197062865003509 = -4085
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x \in \left\{-4812, -3429, -1099, 3744\right\}
|
Solve for x: 6248 times x to the power of 4 plus 34963808 times x cubed minus 58804632744 times x squared minus 484546773873888 times x minus 424197062865003509 equals -4085.
|
15327 - 7145 x = 13775
|
x \in \left\{\frac{1552}{7145}\right\}
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Solve for x: 15327 minus 7145 times x equals 13775.
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8339 x^{2} - 53828245 x + 70857709010 = 8516
|
x \in \left\{1842, 4613\right\}
|
Solve for x: 8339 times x squared minus 53828245 times x plus 70857709010 equals 8516.
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3^{2362 x - 6194} - 7432 = - \frac{47716343137438795622728629496584377437355235408581579170706527703372709640226269697728129274946326926140189670816188339549623665288535601504125097387079100314764884403060849003351111212851658577550135470387767060712146226116723879015936735553970467570010531431193878526164027364489382713652003377790142638509246766542607492014966091149597625116928078478749072008632545293047196741575304534056916910396715483308298383280041586918815660426217635313851555604397002308667651002827889685996832175881549759462997564724052584461372281519396128568113344322650278883476060325390846868647294916793588031310350776497174747220423083007692367476139567204531902254951733310547089190160299287023919171749008993764438925702117398020922713719782565440411317195770250407831162890926763172705429817924984143448309745702670488291312346350867737762842475062909891295167247923037851242299560144723110474727662280463189238905428986990597646503354868772653924161111909056652577070787007120967997347015818698684328201501806147243015689313408303580975316858608596892826625176962522176631644200401376717625322308096667341875180491459772146964224169612284804590074814005669998245262826859256754691513057646291300437926535793532951549332554616188301795425364593615797186116684765936476653321908362863700319376128778635462566988083374649794599723040883204365594766316064594719194961109595470977402107721914305666438992382720517450266286959547630518844159108345647508802375671651690660554506249394999727447571281295909652312120759188083923898870693856913057162423434988695}{6420390626673680788849385023760007728384719511380729167210243232423669219621403350071061527845307713420369977235762693696128049688984876413364517947669416081103994133888704117781365879016638667592859993324511176091515907712153374463931207690254368618139199600537389467998389042584685510448331993782311980423741491730706067278655286753175137932848234456236419807404809646534875772547807391557712178471032761478511623153934551522983807915260715192929434284768165003857326561198585802744460734106774725439047035081277258404382707416495711594202549020808702756118953219239887899441239897308071586559519749259576795912328186626438693148027390635701278559600609971817423195662042422904187186726185279031813633705882319432309299477904005037730263347116556836360490162934171578674035228461381074199180536289379775066107689229126444801243605363685399797519812691474414860373998943046704853973043902107533535913001747442222503566113410760583143724584487225060895730730221625533907070373495519198644806445345283536466050768757844938236721859339154587301752580323267246586604440312348858668638631337011213922925254502122194155573758021028633556253338805929762950116096186659950846543737573505288002950287378031882608898352343405315096262831619162513076711071685405876837099287992850336426180856940074739312027460088085279144203853724866034122008384831081097846469471151166708477140436210213356625268081636237547129478869691554160231991268614861074919587684560238248190864672954117293790039192854670297673859090310560269631172052456527591114427265203}
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x \in \left\{\frac{2973}{2362}\right\}
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Solve for x: 3 to the power of 2362 times x minus 6194 minus 7432 equals -47716343137438795622728629496584377437355235408581579170706527703372709640226269697728129274946326926140189670816188339549623665288535601504125097387079100314764884403060849003351111212851658577550135470387767060712146226116723879015936735553970467570010531431193878526164027364489382713652003377790142638509246766542607492014966091149597625116928078478749072008632545293047196741575304534056916910396715483308298383280041586918815660426217635313851555604397002308667651002827889685996832175881549759462997564724052584461372281519396128568113344322650278883476060325390846868647294916793588031310350776497174747220423083007692367476139567204531902254951733310547089190160299287023919171749008993764438925702117398020922713719782565440411317195770250407831162890926763172705429817924984143448309745702670488291312346350867737762842475062909891295167247923037851242299560144723110474727662280463189238905428986990597646503354868772653924161111909056652577070787007120967997347015818698684328201501806147243015689313408303580975316858608596892826625176962522176631644200401376717625322308096667341875180491459772146964224169612284804590074814005669998245262826859256754691513057646291300437926535793532951549332554616188301795425364593615797186116684765936476653321908362863700319376128778635462566988083374649794599723040883204365594766316064594719194961109595470977402107721914305666438992382720517450266286959547630518844159108345647508802375671651690660554506249394999727447571281295909652312120759188083923898870693856913057162423434988695 over 6420390626673680788849385023760007728384719511380729167210243232423669219621403350071061527845307713420369977235762693696128049688984876413364517947669416081103994133888704117781365879016638667592859993324511176091515907712153374463931207690254368618139199600537389467998389042584685510448331993782311980423741491730706067278655286753175137932848234456236419807404809646534875772547807391557712178471032761478511623153934551522983807915260715192929434284768165003857326561198585802744460734106774725439047035081277258404382707416495711594202549020808702756118953219239887899441239897308071586559519749259576795912328186626438693148027390635701278559600609971817423195662042422904187186726185279031813633705882319432309299477904005037730263347116556836360490162934171578674035228461381074199180536289379775066107689229126444801243605363685399797519812691474414860373998943046704853973043902107533535913001747442222503566113410760583143724584487225060895730730221625533907070373495519198644806445345283536466050768757844938236721859339154587301752580323267246586604440312348858668638631337011213922925254502122194155573758021028633556253338805929762950116096186659950846543737573505288002950287378031882608898352343405315096262831619162513076711071685405876837099287992850336426180856940074739312027460088085279144203853724866034122008384831081097846469471151166708477140436210213356625268081636237547129478869691554160231991268614861074919587684560238248190864672954117293790039192854670297673859090310560269631172052456527591114427265203.
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- 6155 x - 9175 = 182
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x \in \left\{- \frac{9357}{6155}\right\}
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Solve for x: -6155 times x minus 9175 equals 182.
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\sin{\left(4 x - 9051 \right)} - 8780 = - \frac{17561}{2}
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x \in \left\{\frac{n \pi}{2} - \frac{17285 \pi}{24} + \frac{9051}{4}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - \frac{17281 \pi}{24} + \frac{9051}{4}\; \middle|\; n \in \mathbb{Z}\right\}
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Solve for x: sine of 4 times x minus 9051 minus 8780 equals -17561 over 2.
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9597 x^{2} - 70749084 x + 107095146472 = -3032
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x \in \left\{2128, 5244\right\}
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Solve for x: 9597 times x squared minus 70749084 times x plus 107095146472 equals -3032.
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- 3590 x^{3} + 1723200 x^{2} + 188305634570 x - 17524440334413 = -4233
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x \in \left\{-7054, 93, 7441\right\}
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Solve for x: -3590 times x cubed plus 1723200 times x squared plus 188305634570 times x minus 17524440334413 equals -4233.
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9192 x + 8168 = 4415
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x \in \left\{- \frac{1251}{3064}\right\}
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Solve for x: 9192 times x plus 8168 equals 4415.
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- 6145 x^{2} + 55286565 x - 20778525265 = 5675
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x \in \left\{393, 8604\right\}
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Solve for x: -6145 times x squared plus 55286565 times x minus 20778525265 equals 5675.
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\left|{579 x - 3949}\right| - 8292 = -5947
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x \in \left\{\frac{1604}{579}, \frac{2098}{193}\right\}
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Solve for x: Abs(579*x - 3949) minus 8292 equals -5947.
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\sqrt{3635 x + 7700} - 6886 = 704
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x \in \left\{\frac{11520080}{727}\right\}
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Solve for x: 3635 times x plus 7700 to the power of 1 over 2 minus 6886 equals 704.
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\left|{7186 x - 4698}\right| + 8947 = 15366
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x \in \left\{- \frac{1721}{7186}, \frac{11117}{7186}\right\}
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Solve for x: Abs(7186*x - 4698) plus 8947 equals 15366.
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- 1769 x^{4} - 24705854 x^{3} - 86953926627 x^{2} - 71845173573310 x + 47557703811036507 = -5093
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x \in \left\{-9082, -2720, -2585, 421\right\}
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Solve for x: -1769 times x to the power of 4 minus 24705854 times x cubed minus 86953926627 times x squared minus 71845173573310 times x plus 47557703811036507 equals -5093.
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\frac{\log{\left(6003 - 2524 x \right)}}{\log{\left(3 \right)}} - 2853 = -12434
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x \in \left\{\frac{298572511375668397064719216651756640709717588463918203568587962243136536736442806374670165680464847263422956852908087271421527074009236733925532721486918954938819459880794771184671777578248516475900603913323140991088502576134842747709752223304670609437324278742575321370814251510245226219054988399910668108759943394600820231213533162707839445234311366446621645538450386016709564186042384484924006082358144388048165833763887598094975737245139569214236102800299656040695068808767398626500256699736976613044644262853495766159703575142226715252340948960155815344546134384770801961782276248249354513724227826444584567255972488491115004128286660239473327892597448943807397167792315402635272566705842688180485154824244339781030248640839711428773341624435018639249530962267139066793138234053484779158213886873737895702479825876366083414941447613507408697290600537654024553339867604439172258401171151921985186149701131343681541947634665773007442107446307784926640916699281263116233049160002571487205786563706620795493162526390893068854580510775185218809447308042487721844686234297650377681351409570451574627903591052096070867223707440471267543482247290282752025514372881639920740675254581059850747628198378065714551992249494716183872733858105050196854300598589002836993904125332535546956275497433089812043079132110706704893498914889866044992687195395876521809414827271122947377536793947618373773484222736307757270524213252860148689280248649563286913591805848850760788855118189513868013048923970241827152585804044656248929223128160738062531129704065810667588394331508387512270530578651805060322619430422706945880117590505328260442637144645633509836481838298534185299608693620295342106598588562113117943172895727983844080113845869394277499443926055591607800699198262262995575099644602116877273561405689672175475978268605408486038025017454859375328939867821447081673617268455854571718831133716242799767120285596612050089308908582678474817694520493268878583324713715169933575172269792340154822986786196438073219674510701020819554136491092860001457618153272840097008385148517561645199007593240681066268531094499939021225352796516890307848695699259275699099957091247644536113353684673835223344493247646423296387573469995508915911280852568367296923626194021762251614613271510664241234784941573559503835654654394554314895446517603674657445936182340305535322726584666751979224079726078153507007467308360801822022967757469925068059485844038573861268356393132931995186875315515201063421778395586430037851883067539280061065333344472521262072867943314677846912038424471691610202087211402975689928960239251488226107704933767057624942444522916121274083463956570713372040702862948326353634914831541148196529295652102730474752086042897607630011811238218964059052765498820059568739158862218016772712401031122561806886326286969292012608520778639502336044164730625472650864866374634855417939319391687093707147508873999427083788911486728519725656867384876292383218183870609379070943220862795385967543865001457799223217828982503180885323514491982149011166457325175427118704239617773762457328576275678944367355315921273075644296336730990135237823500292959373848021264178055630906087358697755305631664388282596044026677062158259163159561001883576028106615909230971481678888400608382250656414738096572488642982640328823650320716341685633075855973922203915274528415149138001073444415114814050480585597141343020420429858999742173725232720313005165131943006022227694169310532851338347669053666026049910723070627973360327693206235058694739165655498489248546080608363304835920475981479946561364590942428187063796929019784484148180211552462721020215331869154734977318315926774372239805321742532424820260217425400971795251080249946614427825537960742509665243919223810766150750082435585280417482156365506099218425180261844003777730518733136455536128753955587685309313857714189183270327861652075937607946895033955876848856041104610991372135292168469626066497033239497288721769014198637355864847030346718029633764118565049204691817711004315331857339292962575111396788377621644035349929489452755427617074852338424258065699111630279273785842029569923372802761452292360375246893075972861004467431426418777338960960615549886766523321240428709476920095691882733511609177115156906085376084958298493901459057744421858792604061940683551309242468856845990273230532459746505850290279136974127970859852420730912280482969510970642811009628077153557724040879867087629495563473313711705474382285441120493331858237934373429439340444764525760051357975033208837663588197578329223512607627433819837070043133250193647732705257083688451602}{125536734751322177942920423593042438972401664714797525538416794386419560007126710526348075658419669247522829101572549104292509467732685909783115873568712883935628905004018990916227147527486132864429972393341264011578774030012384323708048411064632453476562798525114128125926232019300175075278159373875483309430301037476673373910204514855003624816158902034195074685831879777806919874324667406288221114754615431523166843981351373911663961487045189521361306591363706787725196347381128457985448594058991999221169768356192456069813730411291059353141521768354702303787180274389722497341073671594431249815084296842600607655184834408058349228684912617762898484243871586568360894803898730010232876622613184235806185370047095386859961280939435556592356198579707986917510602825630352254852724096451038246765259115328077420133113528560385563770150554138380734959432909718267195174050613627264830951950022897066568356129544479668867545532216626865031464133679968208369427577708796952419159766757702887507480474228804079264491457039915726434942730167677410007503749042018825576543071025698742839868558679963314069769892356403545372126043241670744507704346520185518259603244569924897542805987433382485971516503865773423876266606317618465449738507055996451251083576684764811023257373369868352576651566803451388571836036889459224246408672527406612953780190101481316183068969520625407159903859390935994570093982706386936423588724679363487471554780541645466628336784601449162124116328220945027963507493603346721927890482993288751007389501162369293657932929045828106778795151212255552385610391557080788314891128167068520973082924943436370041182101130364647480806290165833797050843302131871638093795575134228470712738362288427656581410519236107139165183486484143464615852869634174879365575795931324837287767614186362247359881584201241215852069822431461779665208100346715381333368313440375968518795565800399271466302115749766585778013607406743373386616853194237989262753885959868217948314977337309103910247984067934315643254783443174504173686573966080067246214929012268599841606549201786705394352018214139432160881639599841094381607605931805953191755446431852717729184024372656140121623305033609879014076454615954089635554795646953940323183886703741305586412212845398621201946343043964108758387005252651039093985065415934547858755124176524210460360307217546421981436265150571713403561090891430859851215639897162052104942631993018635979034194628245947999555478305434008970793485983736045989766561795793672420148736043502061324154816166690598945846858058678475030149089349750062327181096381994109841861676473555935814733841883733707372102278167631200364261706877308104452895889735394921968103454074605705154079997652389091833127631563145370339798694863345874570911230888194294768888383847788494806946560478651674259718065685572720277179151305364633712389102132049470395289476857966862381949382744998253679878793598959513490456870315306311437270244782235877934815273932712439623636424736890585054258747905961225953989730441117533659262131894543412324527451064930542663585006706809335715030238183184338364953754005204552091280011497434839291440069869974944595314140498486158081708038169980245597353993881794956410612175153444580165245502939512733816184390966520032902602554648809038279326829210221778258901247701298252455113512333480503161449215839105931987312414511862297801724103059039313351188530698574240373832308720053721037159757627318511435482275978691211025306809593456053881900674658448280903715602443294628108826944114884909958052117829469840997664735276242108488320026800637604312634374316749766106286521740272190307497560390387745751549405755693719669917630063073809453913084513874526355497719675783200210770417429894688141611593382584061452336126019191748695193698771441390394368553607388802414503670663306560459172709176907376962071917492616503517157850126190706286801019899710655622960714061743752796625391182654911413849107419375628267725592827751430511525271176729067985391770051746669695850848267183504063284625674558626943125298266510930706237751661174642471214277110932417488393696122698276665814931778324610109377470293171012146857758313863694069827632150078340995169671408394743947059587683293493596988130321760171917271914303354765289181990544466890787707360096909365445875817533289736012577799099016271744036254183562951887517263479017445060636090332751944831350314678501697468341660553267822018939776641809849937838880927310312900985730616100847597063070163675888478411610075393247212788543649672466950901698585821706306870868174519900261330133078181490715788330512890093228693}\right\}
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Solve for x: logarithm of 3 to the power of -1 times logarithm of 6003 minus 2524 times x minus 2853 equals -12434.
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2318 x^{4} - 27871632 x^{3} + 25220347642 x^{2} + 362985188323848 x - 687276589751916817 = 5999
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x \in \left\{-3583, 2256, 3868, 9483\right\}
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Solve for x: 2318 times x to the power of 4 minus 27871632 times x cubed plus 25220347642 times x squared plus 362985188323848 times x minus 687276589751916817 equals 5999.
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\sin{\left(x - 8582 \right)} - 2282 = -2283
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x \in \left\{2 n \pi - \frac{5461 \pi}{2} + 8582\; \middle|\; n \in \mathbb{Z}\right\}
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Solve for x: sine of x minus 8582 minus 2282 equals -2283.
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7622 x - 4117 = 5668
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x \in \left\{\frac{95}{74}\right\}
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Solve for x: 7622 times x minus 4117 equals 5668.
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\log{\left(2202 x + 8996 \right)} - 8867 = -8867 + \log{\left(4358 \right)}
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x \in \left\{- \frac{773}{367}\right\}
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Solve for x: logarithm of 2202 times x plus 8996 minus 8867 equals -8867 plus logarithm of 4358.
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7794 x^{3} - 13436856 x^{2} - 429323659398 x + 1506630579706228 = -8312
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x \in \left\{-8070, 4733, 5061\right\}
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Solve for x: 7794 times x cubed minus 13436856 times x squared minus 429323659398 times x plus 1506630579706228 equals -8312.
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- 5927 x^{2} - 55885683 x - 127668158253 = 2593
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x \in \left\{-5543, -3886\right\}
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Solve for x: -5927 times x squared minus 55885683 times x minus 127668158253 equals 2593.
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- 1619 x^{4} - 13209421 x^{3} + 41304525411 x^{2} + 140903145337189 x - 111297551321466248 = -3808
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x \in \left\{-9784, -2767, 685, 3707\right\}
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Solve for x: -1619 times x to the power of 4 minus 13209421 times x cubed plus 41304525411 times x squared plus 140903145337189 times x minus 111297551321466248 equals -3808.
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-4209 + \frac{9457 x - 2588}{5267 x + 7111} = - \frac{25707}{4}
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x \in \left\{- \frac{63071329}{46761385}\right\}
|
Solve for x: -4209 plus 5267 times x plus 7111 to the power of -1 times 9457 times x minus 2588 equals -25707 over 4.
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\sqrt{700 x + 1674} - 4892 = 920
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x \in \left\{\frac{3377767}{70}\right\}
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Solve for x: 700 times x plus 1674 to the power of 1 over 2 minus 4892 equals 920.
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7041 + \frac{1}{4270 x + 1991} = \frac{13202}{3}
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x \in \left\{- \frac{7885357}{16911335}\right\}
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Solve for x: 7041 plus 4270 times x plus 1991 to the power of -1 equals 13202 over 3.
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\log{\left(- 5262 x - 4626 \right)} + 7633 = \log{\left(1307 \right)} + 7633
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x \in \left\{- \frac{5933}{5262}\right\}
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Solve for x: logarithm of -5262 times x minus 4626 plus 7633 equals logarithm of 1307 plus 7633.
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\sqrt{- 3365 x - 9872} + 25 = 345
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x \in \left\{- \frac{112272}{3365}\right\}
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Solve for x: -3365 times x minus 9872 to the power of 1 over 2 plus 25 equals 345.
|
- 3861 x^{3} + 33328152 x^{2} + 3850996149 x - 376039756151003 = 9637
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x \in \left\{-2944, 5141, 6435\right\}
|
Solve for x: -3861 times x cubed plus 33328152 times x squared plus 3850996149 times x minus 376039756151003 equals 9637.
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4000 x^{3} + 61764000 x^{2} + 234524432000 x - 14294680326957 = -6957
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x \in \left\{-8464, -7037, 60\right\}
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Solve for x: 4000 times x cubed plus 61764000 times x squared plus 234524432000 times x minus 14294680326957 equals -6957.
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\log{\left(1636 - 2995 x \right)} + 8639 = \log{\left(375 \right)} + 8639
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x \in \left\{\frac{1261}{2995}\right\}
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Solve for x: logarithm of 1636 minus 2995 times x plus 8639 equals logarithm of 375 plus 8639.
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\sin{\left(3 x + 6416 \right)} - 3239 = - \frac{6479}{2}
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x \in \left\{\frac{2 n \pi}{3} - \frac{6416}{3} + \frac{12259 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{6416}{3} + \frac{12263 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\}
|
Solve for x: sine of 3 times x plus 6416 minus 3239 equals -6479 over 2.
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5081 x^{3} - 64792912 x^{2} + 160791313924 x + 236192349669617 = -4895
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x \in \left\{-1018, 5566, 8204\right\}
|
Solve for x: 5081 times x cubed minus 64792912 times x squared plus 160791313924 times x plus 236192349669617 equals -4895.
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\tan{\left(x - 2767 \right)} + 4204 = 4205
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x \in \left\{n \pi - \frac{3523 \pi}{4} + 2767\; \middle|\; n \in \mathbb{Z}\right\}
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Solve for x: tangent of x minus 2767 plus 4204 equals 4205.
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\left|{669 x - 3607}\right| + 5800 = 10544
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x \in \left\{- \frac{379}{223}, \frac{8351}{669}\right\}
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Solve for x: Abs(669*x - 3607) plus 5800 equals 10544.
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e^{- 2128 x - 6261} - 81 = 5262
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x \in \left\{- \frac{6261}{2128} - \frac{\log{\left(5343 \right)}}{2128}\right\}
|
Solve for x: exponential of -2128 times x minus 6261 minus 81 equals 5262.
|
3720 x^{4} - 33442800 x^{3} - 11946032280 x^{2} + 744240102489600 x - 1584030863559935384 = 616
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x \in \left\{-4720, 3517, 4528, 5665\right\}
|
Solve for x: 3720 times x to the power of 4 minus 33442800 times x cubed minus 11946032280 times x squared plus 744240102489600 times x minus 1584030863559935384 equals 616.
|
10^{7848 x + 1851} + 2542 = \frac{25420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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x \in \left\{- \frac{1459}{1308}\right\}
|
Solve for x: 10 to the power of 7848 times x plus 1851 plus 2542 equals 25420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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over 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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|
\log{\left(7609 x + 8341 \right)} + 930 = -4826
|
x \in \left\{- \frac{8341}{7609} + \frac{1}{7609 e^{5756}}\right\}
|
Solve for x: logarithm of 7609 times x plus 8341 plus 930 equals -4826.
|
\left|{1684 x + 1770}\right| + 3460 = 12086
|
x \in \left\{- \frac{2599}{421}, \frac{1714}{421}\right\}
|
Solve for x: Abs(1684*x + 1770) plus 3460 equals 12086.
|
- 1217 x^{2} + 517225 x + 42043567032 = 6770
|
x \in \left\{-5669, 6094\right\}
|
Solve for x: -1217 times x squared plus 517225 times x plus 42043567032 equals 6770.
|
\log{\left(e^{7978 - 1771 x} + 4756 \right)} - 2233 = -2233 + \log{\left(14477 \right)}
|
x \in \left\{\frac{7978}{1771} - \frac{\log{\left(9721 \right)}}{1771}\right\}
|
Solve for x: logarithm of exponential of 7978 minus 1771 times x plus 4756 minus 2233 equals -2233 plus logarithm of 14477.
|
- 8937 x^{2} + 66053367 x - 63411935465 = -6059
|
x \in \left\{1134, 6257\right\}
|
Solve for x: -8937 times x squared plus 66053367 times x minus 63411935465 equals -6059.
|
e^{7986 x + 7550} + 3210 = 12622
|
x \in \left\{- \frac{3775}{3993} + \frac{\log{\left(9412 \right)}}{7986}\right\}
|
Solve for x: exponential of 7986 times x plus 7550 plus 3210 equals 12622.
|
\left(9637 x + 4752\right)^{4} - 7295 = 59299625383330
|
x \in \left\{- \frac{7527}{9637}, - \frac{1977}{9637}\right\}
|
Solve for x: 9637 times x plus 4752 to the power of 4 minus 7295 equals 59299625383330.
|
- 1339 x - 258 = 16023
|
x \in \left\{- \frac{16281}{1339}\right\}
|
Solve for x: -1339 times x minus 258 equals 16023.
|
e^{8572 x - 9644} + 10048 = 13155
|
x \in \left\{\frac{\log{\left(3107 \right)}}{8572} + \frac{2411}{2143}\right\}
|
Solve for x: exponential of 8572 times x minus 9644 plus 10048 equals 13155.
|
5457 + \frac{4949 x - 1828}{86 x - 4258} = \frac{10249}{2}
|
x \in \left\{\frac{1417613}{33544}\right\}
|
Solve for x: 5457 plus 86 times x minus 4258 to the power of -1 times 4949 times x minus 1828 equals 10249 over 2.
|
e^{9210 - 5032 x} + 13026 = 15371
|
x \in \left\{\frac{4605}{2516} - \frac{\log{\left(2345 \right)}}{5032}\right\}
|
Solve for x: exponential of 9210 minus 5032 times x plus 13026 equals 15371.
|
- 5406 x^{2} - 48881052 x - 38434708172 = 5668
|
x \in \left\{-8172, -870\right\}
|
Solve for x: -5406 times x squared minus 48881052 times x minus 38434708172 equals 5668.
|
\tan{\left(x + 7660 \right)} + 7957 = 7957
|
x \in \left\{n \pi - 7660 + 2439 \pi\; \middle|\; n \in \mathbb{Z}\right\}
|
Solve for x: tangent of x plus 7660 plus 7957 equals 7957.
|
508 x^{5} - 6231636 x^{4} + 643194548 x^{3} + 104744805855156 x^{2} + 199838884973829984 x + 99151768284920735149 = -6371
|
x \in \left\{-1822, -1755, -879, 7674, 9049\right\}
|
Solve for x: 508 times x to the power of 5 minus 6231636 times x to the power of 4 plus 643194548 times x cubed plus 104744805855156 times x squared plus 199838884973829984 times x plus 99151768284920735149 equals -6371.
|
2964 x - 7382 = 1336
|
x \in \left\{\frac{1453}{494}\right\}
|
Solve for x: 2964 times x minus 7382 equals 1336.
|
760 x^{5} + 3534760 x^{4} - 91117630440 x^{3} - 363314981039080 x^{2} + 2501826190999874480 x + 10206664711419319245847 = -4073
|
x \in \left\{-9886, -5459, -4397, 6963, 8128\right\}
|
Solve for x: 760 times x to the power of 5 plus 3534760 times x to the power of 4 minus 91117630440 times x cubed minus 363314981039080 times x squared plus 2501826190999874480 times x plus 10206664711419319245847 equals -4073.
|
\log{\left(e^{1409 - 3425 x} + 6027 \right)} - 6449 = -6449 + \log{\left(8067 \right)}
|
x \in \left\{\frac{1409}{3425} - \frac{\log{\left(2040 \right)}}{3425}\right\}
|
Solve for x: logarithm of exponential of 1409 minus 3425 times x plus 6027 minus 6449 equals -6449 plus logarithm of 8067.
|
\log{\left(e^{8023 x + 5124} + 653 \right)} + 8044 = \log{\left(3304 \right)} + 8044
|
x \in \left\{- \frac{5124}{8023} + \frac{\log{\left(2651 \right)}}{8023}\right\}
|
Solve for x: logarithm of exponential of 8023 times x plus 5124 plus 653 plus 8044 equals logarithm of 3304 plus 8044.
|
\log{\left(e^{2882 - 6634 x} + 9737 \right)} - 8658 = -8658 + \log{\left(13573 \right)}
|
x \in \left\{\frac{1441}{3317} - \frac{\log{\left(3836 \right)}}{6634}\right\}
|
Solve for x: logarithm of exponential of 2882 minus 6634 times x plus 9737 minus 8658 equals -8658 plus logarithm of 13573.
|
\frac{\log{\left(3622 - 1313 x \right)}}{\log{\left(5 \right)}} + 6147 = 5926
|
x \in \left\{\frac{8267535186332209390227904687584954041487581309945057852852250751630448993123919715869701146845206745080996655452674583382137558811127046982829387371356670673}{2997038569755436479671242091330492726800992341236295129982055559605405722797268522069828162840352417529361846661888936493856050446993322111666202545166015625}\right\}
|
Solve for x: logarithm of 5 to the power of -1 times logarithm of 3622 minus 1313 times x plus 6147 equals 5926.
|
\log{\left(6436 - 8668 x \right)} + 3229 = -3721
|
x \in \left\{\frac{1609}{2167} - \frac{1}{8668 e^{6950}}\right\}
|
Solve for x: logarithm of 6436 minus 8668 times x plus 3229 equals -3721.
|
899 x^{3} - 2563948 x^{2} - 38860277385 x + 113104831359207 = 9957
|
x \in \left\{-6595, 2925, 6522\right\}
|
Solve for x: 899 times x cubed minus 2563948 times x squared minus 38860277385 times x plus 113104831359207 equals 9957.
|
\frac{6210 - 2934 x}{9901 x - 9929} - 2734 = -6094
|
x \in \left\{\frac{5559205}{5544071}\right\}
|
Solve for x: 9901 times x minus 9929 to the power of -1 times 6210 minus 2934 times x minus 2734 equals -6094.
|
4820 x^{4} - 59695700 x^{3} - 130262423180 x^{2} + 3265028642024900 x - 6942218076341003976 = -8976
|
x \in \left\{-7367, 2697, 8050, 9005\right\}
|
Solve for x: 4820 times x to the power of 4 minus 59695700 times x cubed minus 130262423180 times x squared plus 3265028642024900 times x minus 6942218076341003976 equals -8976.
|
\sqrt{3384 x + 193} - 6386 = -4099
|
x \in \left\{\frac{217924}{141}\right\}
|
Solve for x: 3384 times x plus 193 to the power of 1 over 2 minus 6386 equals -4099.
|
\left(294 x - 2132\right)^{2} + 6774 = 81493503
|
x \in \left\{- \frac{985}{42}, \frac{11159}{294}\right\}
|
Solve for x: 294 times x minus 2132 squared plus 6774 equals 81493503.
|
\sqrt{6713 x - 7381} - 3307 = 3281
|
x \in \left\{\frac{43409125}{6713}\right\}
|
Solve for x: 6713 times x minus 7381 to the power of 1 over 2 minus 3307 equals 3281.
|
\log{\left(e^{6623 - 4007 x} + 3889 \right)} - 303 = -303 + \log{\left(8238 \right)}
|
x \in \left\{\frac{6623}{4007} - \frac{\log{\left(4349 \right)}}{4007}\right\}
|
Solve for x: logarithm of exponential of 6623 minus 4007 times x plus 3889 minus 303 equals -303 plus logarithm of 8238.
|
\sin{\left(3 x - 3539 \right)} - 6487 = -6487
|
x \in \left\{\frac{2 n \pi}{3} - \frac{1126 \pi}{3} + \frac{3539}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - 375 \pi + \frac{3539}{3}\; \middle|\; n \in \mathbb{Z}\right\}
|
Solve for x: sine of 3 times x minus 3539 minus 6487 equals -6487.
|
\log{\left(- 4833 x - 5724 \right)} - 6481 = -13262
|
x \in \left\{- \frac{212}{179} - \frac{1}{4833 e^{6781}}\right\}
|
Solve for x: logarithm of -4833 times x minus 5724 minus 6481 equals -13262.
|
\log{\left(e^{5812 x - 2513} + 4470 \right)} + 4030 = \log{\left(11968 \right)} + 4030
|
x \in \left\{\frac{\log{\left(7498 \right)}}{5812} + \frac{2513}{5812}\right\}
|
Solve for x: logarithm of exponential of 5812 times x minus 2513 plus 4470 plus 4030 equals logarithm of 11968 plus 4030.
|
-8100 + \frac{- 434 x - 5898}{2263 - 3096 x} = - \frac{22162}{3}
|
x \in \left\{\frac{2427994}{3308973}\right\}
|
Solve for x: -8100 plus 2263 minus 3096 times x to the power of -1 times -434 times x minus 5898 equals -22162 over 3.
|
-5198 + \frac{1}{5169 x + 7053} = -13275
|
x \in \left\{- \frac{56967082}{41750013}\right\}
|
Solve for x: -5198 plus 5169 times x plus 7053 to the power of -1 equals -13275.
|
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