Solve for A
A = \frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{12584633117821671995364396156198598961330298267509152133798192295014084022932455593676086717039378276484467775128855711890365296027232545937257310165490118653672594509217645969781367096249241646749785019403803470322302827731545464596115096905294718431711903030640837507271895662623743073032939321629518865022627605819996683601970909204533344091998884264688921495002253480571539942181633566683095647355514972310048728371740215135968985767391778296845466841049314604638967610486315773945895531922237482356011975485777895345302274048000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} \approx 169617.237385261
Assign A
A≔\frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{12584633117821671995364396156198598961330298267509152133798192295014084022932455593676086717039378276484467775128855711890365296027232545937257310165490118653672594509217645969781367096249241646749785019403803470322302827731545464596115096905294718431711903030640837507271895662623743073032939321629518865022627605819996683601970909204533344091998884264688921495002253480571539942181633566683095647355514972310048728371740215135968985767391778296845466841049314604638967610486315773945895531922237482356011975485777895345302274048000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
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A=\frac{\left(1+\frac{7}{1200}\right)^{492}-1}{\frac{0.07}{12}}\times 60
Expand \frac{0.07}{12} by multiplying both numerator and the denominator by 100.
A=\frac{\left(\frac{1207}{1200}\right)^{492}-1}{\frac{0.07}{12}}\times 60
Add 1 and \frac{7}{1200} to get \frac{1207}{1200}.
A=\frac{\frac{15848088505147010346755357177434399589868266322153297688481716063375365243469350149083609559997006548339756429326043018388595443362719969786941581609632831386133203001625265026489590584307790766159780220448257128198960864782699490851119134219857169081050790317268835670476805267398598365321409652166704555096573602900264588719421025913612000981476434825599519931284025292126042159776257379851680853708223855823130729305750470068074540354936528431540932304431131727999712381555315084085495059697917250697459539378019075196996112602869253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-1}{\frac{0.07}{12}}\times 60
Calculate \frac{1207}{1200} to the power of 492 and get \frac{15848088505147010346755357177434399589868266322153297688481716063375365243469350149083609559997006548339756429326043018388595443362719969786941581609632831386133203001625265026489590584307790766159780220448257128198960864782699490851119134219857169081050790317268835670476805267398598365321409652166704555096573602900264588719421025913612000981476434825599519931284025292126042159776257379851680853708223855823130729305750470068074540354936528431540932304431131727999712381555315084085495059697917250697459539378019075196996112602869253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
A=\frac{\frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{0.07}{12}}\times 60
Subtract 1 from \frac{15848088505147010346755357177434399589868266322153297688481716063375365243469350149083609559997006548339756429326043018388595443362719969786941581609632831386133203001625265026489590584307790766159780220448257128198960864782699490851119134219857169081050790317268835670476805267398598365321409652166704555096573602900264588719421025913612000981476434825599519931284025292126042159776257379851680853708223855823130729305750470068074540354936528431540932304431131727999712381555315084085495059697917250697459539378019075196996112602869253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
A=\frac{\frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{7}{1200}}\times 60
Expand \frac{0.07}{12} by multiplying both numerator and the denominator by 100.
A=\frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times \frac{1200}{7}\times 60
Divide \frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} by \frac{7}{1200} by multiplying \frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} by the reciprocal of \frac{7}{1200}.
A=\frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{755077987069300319721863769371915937679817896050549128027891537700845041375947335620565203022362696589068066507731342713421917761633952756235438609929407119220355670553058758186882025774954498804987101164228208219338169663892727875766905814317683105902714181838450250436313739757424584381976359297771131901357656349199801016118254552272000645519933055881335289700135208834292396530898014000985738841330898338602923702304412908158139146043506697810728010462958876278338056629178946436753731915334248941360718529146673720718136442880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 60
Multiply \frac{14941994920663849963089120654188100464652484846892638734848246218134351193818213346338931316370171312432874749516765407132489142048759226479459055277717542843068776196961594516665332153377845367593795699051183278335755061186028217400198847242675949353967533299062695369953228779689688864063038021009379196814944415281224827500079120450885600206852515158541917583643863041524891283939179763050497967098626777816807220862985174578284773379684320394168058691875581076465706713600300348361390581399516151967826677143043066732134348871413253185463490314326066320464673683428947542852854708327550016706265216574209780432366209537597989228481246142183463406111995701102596186227380801425533220709641756532046779133058094657070180240338961210889833867940467186798016971766305220511271367653575469880427753592824687366799717941823794030778631537798080234762854387423900695529348050593118907717291915045549032553312336914488392321825242983493698996855790973531284349211570663462084394459791005502027285889736673032004650398144282468627350632285346629963879612605032162217404833397739220502365575065803652334751462561138639380932874130108847672554342863453710079136140608871478842395148826675626428143938101678099376220466515558347017662264112072454547315584079445072349668826208055907487336769907636356485498739039901263036406918494554725543139568962160107016867669585670225969585014033314635792897626307418255489920613010156102210439873370029635871903369433799215007412477370138155949698254202376893054601223629919538652402401}{906093584483160383666236523246299125215781475260658953633469845241014049651136802744678243626835235906881679809277611256106301313960743307482526331915288543064426804663670509824258430929945398565984521397073849863205803596671273450920286977181219727083257018206140300523576487708909501258371631157325358281629187619039761219341905462726400774623919667057602347640162250601150875837077616801182886609597078006323508442765295489789766975252208037372873612555550651534005667955014735724104478298401098729632862234976008464861763731456000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} and \frac{1200}{7} to get \frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{755077987069300319721863769371915937679817896050549128027891537700845041375947335620565203022362696589068066507731342713421917761633952756235438609929407119220355670553058758186882025774954498804987101164228208219338169663892727875766905814317683105902714181838450250436313739757424584381976359297771131901357656349199801016118254552272000645519933055881335289700135208834292396530898014000985738841330898338602923702304412908158139146043506697810728010462958876278338056629178946436753731915334248941360718529146673720718136442880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
A=\frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{12584633117821671995364396156198598961330298267509152133798192295014084022932455593676086717039378276484467775128855711890365296027232545937257310165490118653672594509217645969781367096249241646749785019403803470322302827731545464596115096905294718431711903030640837507271895662623743073032939321629518865022627605819996683601970909204533344091998884264688921495002253480571539942181633566683095647355514972310048728371740215135968985767391778296845466841049314604638967610486315773945895531922237482356011975485777895345302274048000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
Multiply \frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{755077987069300319721863769371915937679817896050549128027891537700845041375947335620565203022362696589068066507731342713421917761633952756235438609929407119220355670553058758186882025774954498804987101164228208219338169663892727875766905814317683105902714181838450250436313739757424584381976359297771131901357656349199801016118254552272000645519933055881335289700135208834292396530898014000985738841330898338602923702304412908158139146043506697810728010462958876278338056629178946436753731915334248941360718529146673720718136442880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} and 60 to get \frac{2134570702951978566155588664884014352093212120984662676406892316876335884831173335191275902338595901776124964216680772447498448864108460925637007896816791834724110885280227788095047450482549338227685099864454754047965008740861173914314121034667992764852504757008956481421889825669955552009005431572768456687849202183032118214297017207269371458121787879791702511949123291646413040562739966150071138156946682545258174408997882082612110482812045770595436955982225868066529530514328621194484368771359450281118096734720438104590621267344750455066212902046580902923524811918421077550407815475364288100895030939172825776052315648228284175497320877454780486587427957300370883746768685917933317244234536647435254161865442093867168605762708744412833409705781026685430995966615031501610195379082209982918250513260669623828531134546256290111233076828297176394693483917700099361335435799016986816755987863649861793330333844926913188832177569070528428122255853361612049887367237637440627779970143643146755127105239004572092914020611781232478661755049518566268516086433166031057833342534174357480796437971950333535923223019805625847553447158406810364906123350530011305162944124496977485021260953660918306276871668299910888638073651192431094609158867493506759369154206438907095546601150843926762395701090908069356962719985894719486702642079246506162795566022872430981095655095746567083573433330662256128232329631179355702944715736586030062839052861376553129052776257030715344639624305450849956893457482413293514460518559934093200343}{12584633117821671995364396156198598961330298267509152133798192295014084022932455593676086717039378276484467775128855711890365296027232545937257310165490118653672594509217645969781367096249241646749785019403803470322302827731545464596115096905294718431711903030640837507271895662623743073032939321629518865022627605819996683601970909204533344091998884264688921495002253480571539942181633566683095647355514972310048728371740215135968985767391778296845466841049314604638967610486315773945895531922237482356011975485777895345302274048000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
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}