problem_latex string | solution_latex string | problem_english string |
|---|---|---|
- 8181 x^{2} + 67010571 x + 45463688900 = -9730 | x \in \left\{-630, 8821\right\} | Solve for x: -8181 times x squared plus 67010571 times x plus 45463688900 equals -9730. |
-3622 + \frac{5629 x + 4362}{5274 x + 2037} = 3774 | x \in \left\{- \frac{3012258}{7800175}\right\} | Solve for x: -3622 plus 5274 times x plus 2037 to the power of -1 times 5629 times x plus 4362 equals 3774. |
\left|{1660 x + 986}\right| - 4446 = 1305 | x \in \left\{- \frac{6737}{1660}, \frac{953}{332}\right\} | Solve for x: Abs(1660*x + 986) minus 4446 equals 1305. |
- 932 x^{3} + 5838980 x^{2} + 81379027396 x - 482616464444104 = 2012 | x \in \left\{-9243, 5729, 9779\right\} | Solve for x: -932 times x cubed plus 5838980 times x squared plus 81379027396 times x minus 482616464444104 equals 2012. |
\cos{\left(4 x + 4013 \right)} - 9846 = -9847 | x \in \left\{\frac{n \pi}{2} - \frac{4013}{4} + \frac{1279 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 4 times x plus 4013 minus 9846 equals -9847. |
\log{\left(2645 - 8986 x \right)} - 394 = -5395 | x \in \left\{\frac{2645}{8986} - \frac{1}{8986 e^{5001}}\right\} | Solve for x: logarithm of 2645 minus 8986 times x minus 394 equals -5395. |
6533 x - 7691 = 3603 | x \in \left\{\frac{11294}{6533}\right\} | Solve for x: 6533 times x minus 7691 equals 3603. |
3702 x^{4} + 8729316 x^{3} - 212347323426 x^{2} - 492198370907832 x + 1799141679988833088 = 9280 | x \in \left\{-5856, -5643, 2084, 7057\right\} | Solve for x: 3702 times x to the power of 4 plus 8729316 times x cubed minus 212347323426 times x squared minus 492198370907832 times x plus 1799141679988833088 equals 9280. |
-3330 + \frac{1}{- 5675 x - 9360} = -797 | x \in \left\{- \frac{23708881}{14374775}\right\} | Solve for x: -3330 plus -5675 times x minus 9360 to the power of -1 equals -797. |
e^{- 1484 x - 7339} + 5955 = 10487 | x \in \left\{- \frac{7339}{1484} - \frac{\log{\left(4532 \right)}}{1484}\right\} | Solve for x: exponential of -1484 times x minus 7339 plus 5955 equals 10487. |
- 1903 x^{3} + 20938709 x^{2} + 8483509298 x - 281253169861691 = 6133 | x \in \left\{-3366, 4408, 9961\right\} | Solve for x: -1903 times x cubed plus 20938709 times x squared plus 8483509298 times x minus 281253169861691 equals 6133. |
\frac{3867 x - 1843}{5669 x - 6955} + 3269 = 12763 | x \in \left\{\frac{66028927}{53817619}\right\} | Solve for x: 5669 times x minus 6955 to the power of -1 times 3867 times x minus 1843 plus 3269 equals 12763. |
e^{7883 x - 807} - 3784 = -563 | x \in \left\{\frac{\log{\left(3221 \right)}}{7883} + \frac{807}{7883}\right\} | Solve for x: exponential of 7883 times x minus 807 minus 3784 equals -563. |
e^{1930 x + 6379} - 552 = 5242 | x \in \left\{- \frac{6379}{1930} + \frac{\log{\left(5794 \right)}}{1930}\right\} | Solve for x: exponential of 1930 times x plus 6379 minus 552 equals 5242. |
6546 - 5497 x = 4550 | x \in \left\{\frac{1996}{5497}\right\} | Solve for x: 6546 minus 5497 times x equals 4550. |
4017 x + 15814 = 8079 | x \in \left\{- \frac{595}{309}\right\} | Solve for x: 4017 times x plus 15814 equals 8079. |
\log{\left(- 1971 x - 9567 \right)} - 2401 = -2401 + \log{\left(9908 \right)} | x \in \left\{- \frac{19475}{1971}\right\} | Solve for x: logarithm of -1971 times x minus 9567 minus 2401 equals -2401 plus logarithm of 9908. |
\left(7773 - 1042 x\right)^{4} + 3912 = 2506982468694088 | x \in \left\{\frac{697}{1042}, \frac{14849}{1042}\right\} | Solve for x: 7773 minus 1042 times x to the power of 4 plus 3912 equals 2506982468694088. |
\frac{\log{\left(7130 x - 7593 \right)}}{\log{\left(3 \right)}} - 5882 = 2062 | x \in \left\{\frac{287644320594376059320970873992932172893013996990275510862545476515748997461565582199270595839308762075713985605530020069192602648438417580302546772169512171492679625646483754023558674362228911437527291489858870107432259491958167951649400604809895346676764216251594070580816907595092584156596594967667156342851818663094659830376621311049605848310581887699030102211890838983522411278130937447320982506506515768220218485670603457872156880946008473156381300019564024243513234188540617281079697939670975356678392010670492903025163028056525617782783206748172961712641528138187229807129500780665621883887655682095088259439613386264985021922597849078604273792025531814108582739249309728890799088132296898713174096469042905799148872808042902310458896372425231318215272876384748885226047609831011723661858604226059679964252713659262658673985319879614844023101019849845128751568877802097953328319210678305033016164610710120385385035033252391972125200233704522232908221932307367183689636972452120970130191715422896335198997963022796952190743072056326960325825856162864729523533136096491279980886826243868842558936776370873755749140700561733561792051911656233738932243586454564979207086600990137548528202649503645355067635755297456225902674298358443238399276259715480911866317804937360617155450273356379413541606073996504295017512950803092211770395668098334397179179153118244988008857216622015306680519647140245668884945527314991350125128642564438598298115403795771037400773689453829978660901780404344135781598669713201393005559637246212587085747944036136911450252906950293774969578591921372557413405632852935039010040540280370708140101700397650093145563294080410541999483939793589381155107918377991551602850724412516894102029894722834175054915127811854693246998837145248712936315447382515635179639499471338586545842876840196106029572705022225443845326475877482228986205271498278537110074164929205177432632496388075651252693702174488479001997164445335909788129570098967679669300534460475193255643622214415873046912207401146997808259174742306038740492179999988533678731203483122990240517594321381473905598873679213802563839423015251495165777819814151767965306360660684477556488826257445425963730115607550577069616172229126529288529567992694899966766758030676429194722313921293517264413263333952127274897134774678996349737336430718809450800709851466511596608892975655422671600983008619784506747837220507189202345321392811208173643658777760377861598015556216763989969552834748299386673040376175064784859242229969771215934999758047003139448424539862796615442293874506988292951936482579286289265182902267647383581388915492843325493677450027697804324321762113294917339631894656214509873372719123471253217755928337295946999078725552170895167440285002636730981194787975351811661178987364460274645441725865900862202602969393871648559370765628863328021010034243531699526642464109190097283440011314210963710794389877508173464633401832869512844466820890177239057645542627671442910676825945051733123441183643042630562702758711461259050272131846169802374873257959814139891521512498857359189475785877113736115228759944635471772519418837894276910335169496506514525650684225927957088499830141571583572507892311957055146788194943973458275871685928728294128114722520323986640746999121008877151382774269418868972228970135771532302382015810034725024458486062254054829116563918827118812365752322509214502654302937596413157267068189765665786259099977210137608800814425080814679461343874053978763434028293508465876310855988881312820478755883234070530052558720690738419261729115014330382039329548985380727424916410724070382925943621678844939007710755625428115877007775488710383410862879566947349814846201180341229395016280827802321554029404589296787668483960455744111911679501138034002097022489601715484949620155097858983466427}{115}\right\} | Solve for x: logarithm of 3 to the power of -1 times logarithm of 7130 times x minus 7593 minus 5882 equals 2062. |
e^{5445 - 7997 x} + 7043 = 14164 | x \in \left\{\frac{495}{727} - \frac{\log{\left(7121 \right)}}{7997}\right\} | Solve for x: exponential of 5445 minus 7997 times x plus 7043 equals 14164. |
- 5531 x^{3} + 2876120 x^{2} + 385391191683 x + 697696960033715 = -1813 | x \in \left\{-6917, -1944, 9381\right\} | Solve for x: -5531 times x cubed plus 2876120 times x squared plus 385391191683 times x plus 697696960033715 equals -1813. |
4581 + \frac{1}{8013 - 4705 x} = \frac{20687}{3} | x \in \left\{\frac{55642269}{32671520}\right\} | Solve for x: 4581 plus 8013 minus 4705 times x to the power of -1 equals 20687 over 3. |
\sin{\left(2 x + 5869 \right)} + 9821 = 9821 | x \in \left\{n \pi - \frac{5869}{2} + \frac{1869 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{5869}{2} + 935 \pi\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x plus 5869 plus 9821 equals 9821. |
\left|{466 x - 2232}\right| + 7934 = 13842 | x \in \left\{- \frac{1838}{233}, \frac{4070}{233}\right\} | Solve for x: Abs(466*x - 2232) plus 7934 equals 13842. |
\sqrt{9177 x - 368} + 1205 = 7570 | x \in \left\{\frac{13504531}{3059}\right\} | Solve for x: 9177 times x minus 368 to the power of 1 over 2 plus 1205 equals 7570. |
e^{9438 x + 7107} - 2540 = 4804 | x \in \left\{- \frac{2369}{3146} + \frac{\log{\left(7344 \right)}}{9438}\right\} | Solve for x: exponential of 9438 times x plus 7107 minus 2540 equals 4804. |
10^{7277 x - 303} - 2911 = 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997089 | x \in \left\{\frac{4034}{7277}\right\} | Solve for x: 10 to the power of 7277 times x minus 303 minus 2911 equals 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997089. |
\sqrt{2223 x - 129} - 2947 = 3509 | x \in \left\{\frac{13893355}{741}\right\} | Solve for x: 2223 times x minus 129 to the power of 1 over 2 minus 2947 equals 3509. |
\left|{6015 x - 2365}\right| - 6010 = -5003 | x \in \left\{\frac{1358}{6015}, \frac{1124}{2005}\right\} | Solve for x: Abs(6015*x - 2365) minus 6010 equals -5003. |
-3370 + \frac{1}{787 - 3786 x} = -1505 | x \in \left\{\frac{733877}{3530445}\right\} | Solve for x: -3370 plus 787 minus 3786 times x to the power of -1 equals -1505. |
- 5710 x^{2} + 12870340 x + 62935079275 = -9695 | x \in \left\{-2379, 4633\right\} | Solve for x: -5710 times x squared plus 12870340 times x plus 62935079275 equals -9695. |
4990 x^{2} + 36995860 x - 45728091982 = 3548 | x \in \left\{-8493, 1079\right\} | Solve for x: 4990 times x squared plus 36995860 times x minus 45728091982 equals 3548. |
\sqrt{1502 x + 775} + 2076 = 8144 | x \in \left\{\frac{36819849}{1502}\right\} | Solve for x: 1502 times x plus 775 to the power of 1 over 2 plus 2076 equals 8144. |
\sin{\left(4 x + 8055 \right)} + 2731 = \frac{5461}{2} | x \in \left\{\frac{n \pi}{2} - \frac{8055}{4} + \frac{15391 \pi}{24}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - \frac{8055}{4} + \frac{15395 \pi}{24}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 4 times x plus 8055 plus 2731 equals 5461 over 2. |
1168 x^{3} + 2730784 x^{2} - 12586311936 x - 7932515985753 = 5799 | x \in \left\{-4426, -576, 2664\right\} | Solve for x: 1168 times x cubed plus 2730784 times x squared minus 12586311936 times x minus 7932515985753 equals 5799. |
\tan{\left(x - 5018 \right)} - 9756 = -9755 | x \in \left\{n \pi - \frac{6387 \pi}{4} + 5018\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of x minus 5018 minus 9756 equals -9755. |
5655 x + 2602 = 12908 | x \in \left\{\frac{10306}{5655}\right\} | Solve for x: 5655 times x plus 2602 equals 12908. |
- 415 x^{2} + 2996300 x + 2448131150 = 4235 | x \in \left\{-741, 7961\right\} | Solve for x: -415 times x squared plus 2996300 times x plus 2448131150 equals 4235. |
\frac{\log{\left(607 - 3543 x \right)}}{\log{\left(5 \right)}} + 5568 = 10412 | x \in \left\{- \frac{21556574479199310884776566063982778669150275265385220979382612546414883312756349010049808288956322310654292349981499134838545100075437421810834787709374381402130315481739777519758863335665535383693749475040186510571329391081890057054630400042580031761117599240339367815882778953346048307898111115495674184489057793981865501402565729820999118350672612992051068946544914808379454135691722514190786674682980597459175824543542661967889397437058950295892981597397593866927656502184870424939478231820514793269470015583470796704109284955643550023978479899216551641449566454472134904042127471713554869843250597646505712082409923287932181374444120245093310734598057597189411366681660565291189605925729604668479601542219258584868259719138498291703931628113455320956596970629323206345773651511581922787567575146089491007485373490920719760411704394403231792362749662918713484621583914859037947725708461668383321855134907856328015899087417765128672689328643408318929703175224715707278898993087311766412270165869327724579743920411057744152917207641637886728718698493456120349550188515402966657498648537200985024742447822294519232763320053841881114867467252036847074914518235105614608649755080281009827845343363397061353107937431714874334376618325326648457052362222607387048073138989294197244201759246588025372865509842223897822148854517518453685009580946350292404007757233635652632298179884829624793060343399937585213182003000796369792124122846272565641049896732099330097709488716643456324151578099906883940100709248689592175579153391894880766151593670986188359940528440590618723227312721889224804714084425863390010187094157317277912813307833339793985362540464264770926680813420971983635683231001359200850364708729208702754036914585524928118218258732227872511516012356211866506786738258845836646417010366591445253706646814538262187002753943925706157651857876517568224422344189147338031331656418829290829696357179293894279485422267367089039874094290284288402214856800505533861001347399210718952435933558786150604790912933287099408083846766942926851401620169784482918553251910062519790757799058789321472295329846401460635895849646011488804408522452476225182394183476940262287886996591402107826785792036092367276619008002579732625445718320602953066233369041385207297345268911051966846260157005623493879088916944416622246934135073877709391419789641863507311211013559291870682986724454246710332088441805800290271575687993129520323688180248406887395962025294711017718867986963849938786592081811645612917408234641207700467732943857602519866508745145823544162521136048082593256094919776623323687201572845915953997063714122762859498772036792844611113669781301093146163366797956698066573815617216724151274564755505023995089505889388308499457596432599223846066436979172512567697658641328492800734791394478810106455660173981485663375187852072367020595829784297109759613109360274225659014049290932892804223139336408814359434294714130447978284939196435922180909863860457801906898157132745043330846490302875726220423718278273722364420845339778021225450311635683183566223611693476136266907827278754683917002105428370469036461905190133390748909975571851176801666182776574701470695408583120189783583184804103991820630252995623122755121028458889010575707287047640691545857432915858415709565304698230890429663010291980123848077042127732432036016736120219827930408359611361693131415436427052630582087052365144093831380006}{1181}\right\} | Solve for x: logarithm of 5 to the power of -1 times logarithm of 607 minus 3543 times x plus 5568 equals 10412. |
e^{- 2346 x - 3242} + 3185 = 9884 | x \in \left\{- \frac{1621}{1173} - \frac{\log{\left(6699 \right)}}{2346}\right\} | Solve for x: exponential of -2346 times x minus 3242 plus 3185 equals 9884. |
\log{\left(8060 - 2155 x \right)} + 3570 = 5193 | x \in \left\{\frac{1612}{431} - \frac{e^{1623}}{2155}\right\} | Solve for x: logarithm of 8060 minus 2155 times x plus 3570 equals 5193. |
- 6664 x^{4} - 115367168 x^{3} - 403477151224 x^{2} + 1420037643565632 x + 5134364133605962492 = -2948 | x \in \left\{-9243, -8572, -2877, 3380\right\} | Solve for x: -6664 times x to the power of 4 minus 115367168 times x cubed minus 403477151224 times x squared plus 1420037643565632 times x plus 5134364133605962492 equals -2948. |
5324 x^{2} - 67502996 x + 156707354121 = -7239 | x \in \left\{3060, 9619\right\} | Solve for x: 5324 times x squared minus 67502996 times x plus 156707354121 equals -7239. |
\sin{\left(2 x - 9874 \right)} - 3648 = - \frac{7297}{2} | x \in \left\{n \pi - \frac{18857 \pi}{12} + 4937\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{18853 \pi}{12} + 4937\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x minus 9874 minus 3648 equals -7297 over 2. |
- 1000 x^{4} - 9270000 x^{3} + 32034160000 x^{2} + 328188356070000 x + 82695343810401866 = 866 | x \in \left\{-8787, -6141, -259, 5917\right\} | Solve for x: -1000 times x to the power of 4 minus 9270000 times x cubed plus 32034160000 times x squared plus 328188356070000 times x plus 82695343810401866 equals 866. |
\log{\left(e^{5462 - 103 x} + 6380 \right)} + 1013 = \log{\left(14824 \right)} + 1013 | x \in \left\{\frac{5462}{103} - \frac{\log{\left(8444 \right)}}{103}\right\} | Solve for x: logarithm of exponential of 5462 minus 103 times x plus 6380 plus 1013 equals logarithm of 14824 plus 1013. |
4423 x^{4} - 72833541 x^{3} + 441831170846 x^{2} - 1172983401037740 x + 1152172404922677419 = 6419 | x \in \left\{3278, 3390, 4149, 5650\right\} | Solve for x: 4423 times x to the power of 4 minus 72833541 times x cubed plus 441831170846 times x squared minus 1172983401037740 times x plus 1152172404922677419 equals 6419. |
- 9667 x^{3} - 43076152 x^{2} + 265959780044 x + 365132014172343 = 7383 | x \in \left\{-7464, -1202, 4210\right\} | Solve for x: -9667 times x cubed minus 43076152 times x squared plus 265959780044 times x plus 365132014172343 equals 7383. |
e^{- 9228 x - 8350} + 6843 = 8817 | x \in \left\{- \frac{4175}{4614} - \frac{\log{\left(1974 \right)}}{9228}\right\} | Solve for x: exponential of -9228 times x minus 8350 plus 6843 equals 8817. |
\sqrt{2103 x + 698} + 5816 = 9610 | x \in \left\{\frac{14393738}{2103}\right\} | Solve for x: 2103 times x plus 698 to the power of 1 over 2 plus 5816 equals 9610. |
2928 x^{2} - 29821680 x + 50236144816 = 9616 | x \in \left\{2130, 8055\right\} | Solve for x: 2928 times x squared minus 29821680 times x plus 50236144816 equals 9616. |
\sqrt{9481 x - 2276} + 8545 = 11104 | x \in \left\{\frac{6550757}{9481}\right\} | Solve for x: 9481 times x minus 2276 to the power of 1 over 2 plus 8545 equals 11104. |
\cos{\left(3 x + 904 \right)} - 1319 = -1320 | x \in \left\{\frac{2 n \pi}{3} - \frac{904}{3} + \frac{289 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 3 times x plus 904 minus 1319 equals -1320. |
e^{6446 - 6155 x} + 6820 = 15211 | x \in \left\{\frac{6446}{6155} - \frac{\log{\left(8391 \right)}}{6155}\right\} | Solve for x: exponential of 6446 minus 6155 times x plus 6820 equals 15211. |
\sin{\left(x + 7658 \right)} + 6849 = \frac{13697}{2} | x \in \left\{2 n \pi - 7658 + \frac{14627 \pi}{6}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi - 7658 + \frac{14635 \pi}{6}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of x plus 7658 plus 6849 equals 13697 over 2. |
e^{- 2100 x - 4930} + 6636 = 11852 | x \in \left\{- \frac{493}{210} - \frac{\log{\left(5216 \right)}}{2100}\right\} | Solve for x: exponential of -2100 times x minus 4930 plus 6636 equals 11852. |
\left|{680 x + 4387}\right| + 393 = 6323 | x \in \left\{- \frac{10317}{680}, \frac{1543}{680}\right\} | Solve for x: Abs(680*x + 4387) plus 393 equals 6323. |
- 8300 x^{3} - 27514500 x^{2} + 162529554200 x + 559929820855179 = -4821 | x \in \left\{-3925, -3852, 4462\right\} | Solve for x: -8300 times x cubed minus 27514500 times x squared plus 162529554200 times x plus 559929820855179 equals -4821. |
-5940 + \frac{9429 x - 4618}{685 x - 84} = 2144 | x \in \left\{\frac{674438}{5528111}\right\} | Solve for x: -5940 plus 685 times x minus 84 to the power of -1 times 9429 times x minus 4618 equals 2144. |
- 9883 x^{3} + 41439419 x^{2} + 869550853032 x - 4613097051494447 = 3829 | x \in \left\{-9747, 6138, 7802\right\} | Solve for x: -9883 times x cubed plus 41439419 times x squared plus 869550853032 times x minus 4613097051494447 equals 3829. |
e^{885 x + 3540} + 1037 = 6263 | x \in \left\{-4 + \frac{\log{\left(5226 \right)}}{885}\right\} | Solve for x: exponential of 885 times x plus 3540 plus 1037 equals 6263. |
- 2369 x - 18930 = -5365 | x \in \left\{- \frac{13565}{2369}\right\} | Solve for x: -2369 times x minus 18930 equals -5365. |
2^{4456 - 838 x} - 7594 = 60465985277526298352536464260190084527408130549297919216151043692501496368197744029734428498007524607548306723804335303261756581339331166116507719881128353457795742041081584275450879004410208099144587124012341825585577121364180978500631891118399645897694085748816606655042728019039475561023068099789657028077491758874759896896955976988782839355303675636582343430770639075481559333477225682905322269642606284351416333528963833542721617594649878456764520003982603973851401283978016224969236234859596161523564908198758679916990193384368896388773421824009813264778030171541883514050857496003807021695166010427829332352056167748263220343541857202764268583833910057945272953717213433235993834704063550472070456720908129846104653061017314479615865573126404220796252835741951616647788335079545176027475818038599434376590828609973886747152235761511165558008619572704605318607078650055953041206081755487579969639417567017960144220551430825930124052392498872190676425622654562592394305547668770557168465047375138308896425338111621898047622185799938191546945121080257869129071418675890475260608018903346531270475128036884252193419428510508615585745450514455128884411724899846838937081048799044384207958782111552245794553797808527251646833520706123450538752440994671147665282210946832190857501196999265307931626100645421654 | x \in \left\{\frac{105}{838}\right\} | Solve for x: 2 to the power of 4456 minus 838 times x minus 7594 equals 60465985277526298352536464260190084527408130549297919216151043692501496368197744029734428498007524607548306723804335303261756581339331166116507719881128353457795742041081584275450879004410208099144587124012341825585577121364180978500631891118399645897694085748816606655042728019039475561023068099789657028077491758874759896896955976988782839355303675636582343430770639075481559333477225682905322269642606284351416333528963833542721617594649878456764520003982603973851401283978016224969236234859596161523564908198758679916990193384368896388773421824009813264778030171541883514050857496003807021695166010427829332352056167748263220343541857202764268583833910057945272953717213433235993834704063550472070456720908129846104653061017314479615865573126404220796252835741951616647788335079545176027475818038599434376590828609973886747152235761511165558008619572704605318607078650055953041206081755487579969639417567017960144220551430825930124052392498872190676425622654562592394305547668770557168465047375138308896425338111621898047622185799938191546945121080257869129071418675890475260608018903346531270475128036884252193419428510508615585745450514455128884411724899846838937081048799044384207958782111552245794553797808527251646833520706123450538752440994671147665282210946832190857501196999265307931626100645421654. |
\tan{\left(2 x + 1232 \right)} - 2477 = -2476 | x \in \left\{\frac{n \pi}{2} - 616 + \frac{1569 \pi}{8}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 2 times x plus 1232 minus 2477 equals -2476. |
1978 x - 396 = 1938 | x \in \left\{\frac{1167}{989}\right\} | Solve for x: 1978 times x minus 396 equals 1938. |
8330 x^{3} + 105582750 x^{2} + 238149427110 x + 121693319496356 = -5454 | x \in \left\{-9949, -1987, -739\right\} | Solve for x: 8330 times x cubed plus 105582750 times x squared plus 238149427110 times x plus 121693319496356 equals -5454. |
\frac{\log{\left(6213 x + 2742 \right)}}{\log{\left(3 \right)}} - 327 = -3225 | x \in \left\{- \frac{1366040665616933477926981647830407467699778973340865310364010835074872453414807286025705263379796745238481617947979330082368377246371013956081831027899730859520332944521505832023581122859937882679764087892579031501135994074313149002183514621471904138927253188317411615358464263307533283892828569432015206044873476054529776774013886390678982136396182179939985999760946251707460231556479012412178319484840071955788244273529544387724526567783214057743489657307458605193030688485179482851236913317324759444447930665543911372286377657962910617956626738151178137431151733366547707060022246119588547832317015051960592264029646315792700701360881565357409516593059766065216795819973527774632847112192833361160733068620838065188860604984834116194392924847733038261592285577688027101111139400415708272050111636681551599641201359155414926603440874253903298415567587818707488035688046647692107924252425268893687588447072857151216666615383548337684619181820363473290009959682108428028093283223014534309095475771686817140527040401236748210956970572339545942578013933750396092665051864712535487403284263119530786029630883552402635831521744189752500534848677063689304250312035529588946780524401203610992305106171176695294055381731674431552020995170164910569030243161366061553127957706131182744776923791588126893174762919575555273173125000792703703385938839202782421211796139202135841321001153958211377637}{3095262821107953208738270232666054557556063734998831573045805732428950602868781060568091466585950830841242265612981611160377362447740010834841873149650265437709638433374221639081878014707802357800647074426182903981239216332497299325516475690446732463586806731953347325391006005809520165144472611918712791815025130097298870567814834480411566744503821985400121450224200970772593150496135705367200546666415524092382334672297249920106667967044897498453793304467994279381582665046834473725286266389693191257605759746544245571121540623239811695610693626598566654945202669367746500351538371677973613304954636950339591442894308008760047212820990942948791147553858616543833680681799973765059766268436934235190238714566472246177385462717277302668039110896778033085073986248787641276150076256302988874634333916375813307283291044650836228660531784004194454068534435856174187879551361714847216095324696643193464984325916725558172556411881103509130028802571086163220580554159350716024268259906852407608464694007837416080997265504334032324827008813255141845819547983366597711060527802866149884477244758118761770095585951681647547928973229996693029111238085556783970571549480942865108077096318263324250616930941473671722088288365752459238769672863688763444706382480513253256595186443542318888876377650305263452696864339650957298404312775319134977803369076574357105393468057207465347238285984515815933357}\right\} | Solve for x: logarithm of 3 to the power of -1 times logarithm of 6213 times x plus 2742 minus 327 equals -3225. |
9728 x^{3} - 84935168 x^{2} - 496298570752 x + 4257086446619568 = -1104 | x \in \left\{-7108, 6846, 8993\right\} | Solve for x: 9728 times x cubed minus 84935168 times x squared minus 496298570752 times x plus 4257086446619568 equals -1104. |
10431 - 9300 x = 9352 | x \in \left\{\frac{1079}{9300}\right\} | Solve for x: 10431 minus 9300 times x equals 9352. |
e^{386 x + 1363} - 9771 = -3921 | x \in \left\{- \frac{1363}{386} + \frac{\log{\left(5850 \right)}}{386}\right\} | Solve for x: exponential of 386 times x plus 1363 minus 9771 equals -3921. |
- 1868 x^{2} - 6595908 x + 88065021710 = -7650 | x \in \left\{-8855, 5324\right\} | Solve for x: -1868 times x squared minus 6595908 times x plus 88065021710 equals -7650. |
- 2169 x^{4} - 1021599 x^{3} + 22223005722 x^{2} - 21721768536132 x + 3170300057879292 = 8532 | x \in \left\{-3842, 178, 955, 2238\right\} | Solve for x: -2169 times x to the power of 4 minus 1021599 times x cubed plus 22223005722 times x squared minus 21721768536132 times x plus 3170300057879292 equals 8532. |
\frac{\log{\left(2130 x + 4575 \right)}}{\log{\left(3 \right)}} - 8504 = -9602 | x \in \left\{- \frac{173180418548939810738241523320125123536009178156705533309796566148563385159868325013228919079721401448470678135866507339826624454566007987333161068570694506474219647173944544747590999778187666890051534642963269446291049793122610862203938761037600111462033268662777022325693388357441148551418012707981013441768665893435078684678867755727893247119717930417284729696732259028991687473700532439761059905591591369244425136067238987409268594728151542891607676419170068323804161859175536650275678811293497572694624812408811491530258587}{80628260439178534835509168234287762433158371469679297475380696370806559648200990661896742653509636084206020640305062433624198926388108636725602858154224983342095704585902050341501383503287372781597763669838636922535505149584953253878555095302751527303635161147915859574585118513956206866561828867322307897479182153664856305653767938732330626527868675800834202022740920597104326627099920021134657398668872047320355309250976840039725050660319734723305869021384097383541609783616151489636545544930087394500448273318200759991136785}\right\} | Solve for x: logarithm of 3 to the power of -1 times logarithm of 2130 times x plus 4575 minus 8504 equals -9602. |
- 7119 x^{2} - 4534803 x + 236495414711 = -655 | x \in \left\{-6091, 5454\right\} | Solve for x: -7119 times x squared minus 4534803 times x plus 236495414711 equals -655. |
-6241 + \frac{1}{9762 x + 7303} = -14584 | x \in \left\{- \frac{30464465}{40722183}\right\} | Solve for x: -6241 plus 9762 times x plus 7303 to the power of -1 equals -14584. |
- 4107 x^{5} - 87051972 x^{4} - 605801174529 x^{3} - 1461619490553540 x^{2} - 337336812158358996 x + 1671998497296431213431 = -9449 | x \in \left\{-9246, -7176, -3470, -2133, 829\right\} | Solve for x: -4107 times x to the power of 5 minus 87051972 times x to the power of 4 minus 605801174529 times x cubed minus 1461619490553540 times x squared minus 337336812158358996 times x plus 1671998497296431213431 equals -9449. |
\left|{6589 x - 8250}\right| - 1403 = 1830 | x \in \left\{\frac{5017}{6589}, \frac{11483}{6589}\right\} | Solve for x: Abs(6589*x - 8250) minus 1403 equals 1830. |
- 2511 x^{2} - 627750 x - 36336919 = -5260 | x \in \left\{-159, -91\right\} | Solve for x: -2511 times x squared minus 627750 times x minus 36336919 equals -5260. |
e^{8529 x + 8343} + 6387 = 8082 | x \in \left\{- \frac{2781}{2843} + \frac{\log{\left(1695 \right)}}{8529}\right\} | Solve for x: exponential of 8529 times x plus 8343 plus 6387 equals 8082. |
\left|{6990 x - 3935}\right| + 219 = 6567 | x \in \left\{- \frac{2413}{6990}, \frac{10283}{6990}\right\} | Solve for x: Abs(6990*x - 3935) plus 219 equals 6567. |
e^{- 6102 x - 7292} - 2002 = 815 | x \in \left\{- \frac{3646}{3051} - \frac{\log{\left(2817 \right)}}{6102}\right\} | Solve for x: exponential of -6102 times x minus 7292 minus 2002 equals 815. |
\log{\left(7389 x - 8158 \right)} - 7697 = -14542 | x \in \left\{\frac{1}{7389 e^{6845}} + \frac{8158}{7389}\right\} | Solve for x: logarithm of 7389 times x minus 8158 minus 7697 equals -14542. |
- 6820 x^{3} - 29319180 x^{2} - 13124292060 x - 988049441015 = 2685 | x \in \left\{-3803, -401, -95\right\} | Solve for x: -6820 times x cubed minus 29319180 times x squared minus 13124292060 times x minus 988049441015 equals 2685. |
\left(5816 x - 523\right)^{2} - 3993 = 56471232 | x \in \left\{- \frac{874}{727}, \frac{4019}{2908}\right\} | Solve for x: 5816 times x minus 523 squared minus 3993 equals 56471232. |
-5599 + \frac{- 4564 x - 9551}{- 5099 x - 6542} = -11067 | x \in \left\{- \frac{35781207}{27885896}\right\} | Solve for x: -5599 plus -5099 times x minus 6542 to the power of -1 times -4564 times x minus 9551 equals -11067. |
e^{8912 x + 7935} + 724 = 3049 | x \in \left\{- \frac{7935}{8912} + \frac{\log{\left(2325 \right)}}{8912}\right\} | Solve for x: exponential of 8912 times x plus 7935 plus 724 equals 3049. |
e^{9082 x - 9570} - 1073 = 5889 | x \in \left\{\frac{\log{\left(6962 \right)}}{9082} + \frac{4785}{4541}\right\} | Solve for x: exponential of 9082 times x minus 9570 minus 1073 equals 5889. |
\sqrt{2434 x + 9380} + 7382 = 9620 | x \in \left\{\frac{2499632}{1217}\right\} | Solve for x: 2434 times x plus 9380 to the power of 1 over 2 plus 7382 equals 9620. |
5342 x^{3} - 29071164 x^{2} - 99510647792 x + 477070882042076 = -3748 | x \in \left\{-4168, 3516, 6094\right\} | Solve for x: 5342 times x cubed minus 29071164 times x squared minus 99510647792 times x plus 477070882042076 equals -3748. |
\tan{\left(x + 9627 \right)} - 2667 = -2667 | x \in \left\{n \pi - 9627 + 3065 \pi\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of x plus 9627 minus 2667 equals -2667. |
9422 x^{2} - 78645434 x + 163974272821 = 3341 | x \in \left\{4052, 4295\right\} | Solve for x: 9422 times x squared minus 78645434 times x plus 163974272821 equals 3341. |
\log{\left(e^{7966 x + 7081} + 2705 \right)} + 1490 = \log{\left(9299 \right)} + 1490 | x \in \left\{- \frac{7081}{7966} + \frac{\log{\left(6594 \right)}}{7966}\right\} | Solve for x: logarithm of exponential of 7966 times x plus 7081 plus 2705 plus 1490 equals logarithm of 9299 plus 1490. |
9309 x^{2} - 26372397 x - 28009737259 = 1133 | x \in \left\{-823, 3656\right\} | Solve for x: 9309 times x squared minus 26372397 times x minus 28009737259 equals 1133. |
\tan{\left(2 x - 9270 \right)} + 9346 = 9347 | x \in \left\{\frac{n \pi}{2} - \frac{11799 \pi}{8} + 4635\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 2 times x minus 9270 plus 9346 equals 9347. |
\log{\left(e^{6826 x - 7145} + 3329 \right)} - 1921 = -1921 + \log{\left(9639 \right)} | x \in \left\{\frac{\log{\left(6310 \right)}}{6826} + \frac{7145}{6826}\right\} | Solve for x: logarithm of exponential of 6826 times x minus 7145 plus 3329 minus 1921 equals -1921 plus logarithm of 9639. |
3^{- 8395 x - 6643} + 9936 = 168089275573961700435232674611549658177335255830272357506198757052488196164282044341854643904747324119862123485870098997459946340133831939542651565085899230623506652542637511103796642587830772098722196939228500625582949348387912409669226446081161325841789858152814281488252614383728631233905205828038280980503742904366157325487386105650179667538413530004006122480055910454261655939923772292906045893973173049323580988388384155378212925333313377367245950568394162797118026693721147523323426197459178567468614073504358575808813016305763431633900384955830406946918301155507142846429032919358727917177651415746961478894327287558975792990370987666318810302885161862721934442121349737350357017375271412610887225030288946347768438027219480412877805906550258706215646911566427522193992374499821700015383690850734286730487483418393952306621057337924763368970245563783775899952287045444365110565046413812423954229636584051949559906656408719636457429573712385428592232282539159632474772015771618118135481005640493822439614413092947171056552697358248943634929068214513109882707290219382849872586301003680094050466496766198235154498312933325336431267882937582523863518500934771701961937181953505587334519910883566114135472723565943629046694080511687210820557076910465407241904365191160775949245522013950004270218237172501653072595344697949321755821994668562763897708983795103564657900527985597064963947331989670461721937499616278003839158652353467744897760602378774793192216096016838924911272745617453226297309037763641755639024730523923846845403299123257912274757258319533233092142960831200355855099501942011575395919146785015498690560551022698841949171642252898585618810673627627423233847281273710580737276960493143708845743615251124644680371805901909438145030008447248171358109690228485810744507194848796045547943854056660825254153995948033683324570581588215762838752383012004822536093290882007291253450465865229996720910779942415387991421675364109144514968572570641727758698804515516651824690374132172847609255632306664650907347547778807331861836440816477375158641370484566253890864461606742031755622998903858151366774265795422349090497943165440902981183607071682973892132374016140554258501777726434377733257325265169237580828665411388573530212219504390399733038820839656182914557794561740934222334769707606977859827265131271101735241114105766342714301591940238871630100600033905390072045245419522076988104201400684780298736836371512333808733219061774139837575288735136608750067145712838245590863306957106365053678826251174585091777166360765471469175656217148880219684769889893978213311190710144368123643199297176617516629479648084914213337801107562783215243876363 | x \in \left\{- \frac{12206}{8395}\right\} | Solve for x: 3 to the power of -8395 times x minus 6643 plus 9936 equals 168089275573961700435232674611549658177335255830272357506198757052488196164282044341854643904747324119862123485870098997459946340133831939542651565085899230623506652542637511103796642587830772098722196939228500625582949348387912409669226446081161325841789858152814281488252614383728631233905205828038280980503742904366157325487386105650179667538413530004006122480055910454261655939923772292906045893973173049323580988388384155378212925333313377367245950568394162797118026693721147523323426197459178567468614073504358575808813016305763431633900384955830406946918301155507142846429032919358727917177651415746961478894327287558975792990370987666318810302885161862721934442121349737350357017375271412610887225030288946347768438027219480412877805906550258706215646911566427522193992374499821700015383690850734286730487483418393952306621057337924763368970245563783775899952287045444365110565046413812423954229636584051949559906656408719636457429573712385428592232282539159632474772015771618118135481005640493822439614413092947171056552697358248943634929068214513109882707290219382849872586301003680094050466496766198235154498312933325336431267882937582523863518500934771701961937181953505587334519910883566114135472723565943629046694080511687210820557076910465407241904365191160775949245522013950004270218237172501653072595344697949321755821994668562763897708983795103564657900527985597064963947331989670461721937499616278003839158652353467744897760602378774793192216096016838924911272745617453226297309037763641755639024730523923846845403299123257912274757258319533233092142960831200355855099501942011575395919146785015498690560551022698841949171642252898585618810673627627423233847281273710580737276960493143708845743615251124644680371805901909438145030008447248171358109690228485810744507194848796045547943854056660825254153995948033683324570581588215762838752383012004822536093290882007291253450465865229996720910779942415387991421675364109144514968572570641727758698804515516651824690374132172847609255632306664650907347547778807331861836440816477375158641370484566253890864461606742031755622998903858151366774265795422349090497943165440902981183607071682973892132374016140554258501777726434377733257325265169237580828665411388573530212219504390399733038820839656182914557794561740934222334769707606977859827265131271101735241114105766342714301591940238871630100600033905390072045245419522076988104201400684780298736836371512333808733219061774139837575288735136608750067145712838245590863306957106365053678826251174585091777166360765471469175656217148880219684769889893978213311190710144368123643199297176617516629479648084914213337801107562783215243876363. |
\log{\left(3636 x + 3429 \right)} - 6327 = -6327 + \log{\left(7030 \right)} | x \in \left\{\frac{3601}{3636}\right\} | Solve for x: logarithm of 3636 times x plus 3429 minus 6327 equals -6327 plus logarithm of 7030. |
- 9167 x - 10853 = -229 | x \in \left\{- \frac{10624}{9167}\right\} | Solve for x: -9167 times x minus 10853 equals -229. |
\cos{\left(2 x - 6112 \right)} + 825 = 825 | x \in \left\{n \pi - \frac{3891 \pi}{4} + 3056\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{3889 \pi}{4} + 3056\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x minus 6112 plus 825 equals 825. |
\frac{1199 - 8552 x}{- 1149 x - 6157} - 6359 = -2170 | x \in \left\{- \frac{25792872}{4804609}\right\} | Solve for x: -1149 times x minus 6157 to the power of -1 times 1199 minus 8552 times x minus 6359 equals -2170. |
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