Evaluate
\frac{50250\ln(4853)}{77}-\frac{154800\ln(5)}{77}-\frac{177900\ln(2)}{77}+\ln(\frac{369988485035126972924700782451696644186473100389722973815184405301748249}{2158165285320786912937791493835649673923559208502275931211653770146671953419235390295493346026003364631058647736779730017015765881509858808628304657825696608860888373387803832216674956195810646183167528896661769105188519942909966662654433902389202702780571356219504093140545453967935899085499308143311733903090419580511566442550814817037708615393279799368530617617451556188222880299973026499668459982215633185983387305037583170278884693327476179319934497909469968631096279621342775776729620920400998984100315735105300561095067576250332765021264479346412937765676045748280506985129309919331689249})
Factor
\frac{150\ln(\frac{356274060927538143497028135700429570017238616305419392614413438461248466170899444569559212105514936671183997455372863408842700067370555968165535421687178716256142254752716832700979207110384907799781771063925081180367449091745943617719187377617376065390604559091874202704327785430825161516725920120920369429278650120919612555501718135987192156593400225151605218662967766212615129290372658753555850399592871024553191083874674099727894831304585771333517117168938733275954794377949889536276341384997846317355445862168899082787826141906842353759331643216620080890869111680801694924094837797804879254925796623036292652881863209700912143392357879019534771657228573572061862187747676016161212562323035094398781315467695469584978966308103476354518153537291718989255335585251603983406594132451313578715977952901059225625774966378737111017358704122063577279544769859633271316027890957229589819403389350656051055417942290410660862304711151545835691629175318941729367720681115495822391969970694507198376721975036999059660136145473963214525849964771734751059237720688409804220382502174639512480282462791480123882324704661466809862742481525657051628114950954685945346563463562287309665249364911856252768272370729574266790229527690017180741422075931497439317433950350132220773627950665191}{2819136770616060204233039881033875438044293294470542441042082085270622508927735705075177044931497571945714670751197801843527100267748747532861062808687771113207549220682036255357499378924938579565991943601010480356245018381253573630830159314746243428096702001699539235907284417970137917777403992984743422126167090999907385281808284637953378210721824768000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000})}{77}
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Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}