problem_latex
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solution_latex
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problem_english
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5501 - 8019 x = 10397
x \in \left\{- \frac{544}{891}\right\}
Solve for x: 5501 minus 8019 times x equals 10397.
- 693 x^{2} - 2521134 x + 31305995376 = -7968
x \in \left\{-8782, 5144\right\}
Solve for x: -693 times x squared minus 2521134 times x plus 31305995376 equals -7968.
\log{\left(7559 x - 5976 \right)} - 9554 = -9554 + \log{\left(2368 \right)}
x \in \left\{\frac{8344}{7559}\right\}
Solve for x: logarithm of 7559 times x minus 5976 minus 9554 equals -9554 plus logarithm of 2368.
\sin{\left(3 x + 1058 \right)} - 7233 = -7234
x \in \left\{\frac{2 n \pi}{3} - \frac{1058}{3} + \frac{225 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 3 times x plus 1058 minus 7233 equals -7234.
\log{\left(1471 x - 2314 \right)} + 6894 = 12639
x \in \left\{\frac{2314}{1471} + \frac{e^{5745}}{1471}\right\}
Solve for x: logarithm of 1471 times x minus 2314 plus 6894 equals 12639.
10^{- 8364 x - 6996} - 2928 = - \frac{2927999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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x \in \left\{\frac{215}{1394}\right\}
Solve for x: 10 to the power of -8364 times x minus 6996 minus 2928 equals -2927999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 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\left|{6090 x + 3951}\right| - 4123 = -455
x \in \left\{- \frac{7619}{6090}, - \frac{283}{6090}\right\}
Solve for x: Abs(6090*x + 3951) minus 4123 equals -455.
7747 x^{2} + 976122 x - 246573027562 = -897
x \in \left\{-5705, 5579\right\}
Solve for x: 7747 times x squared plus 976122 times x minus 246573027562 equals -897.
e^{3334 - 8710 x} - 2091 = 6310
x \in \left\{\frac{1667}{4355} - \frac{\log{\left(8401 \right)}}{8710}\right\}
Solve for x: exponential of 3334 minus 8710 times x minus 2091 equals 6310.
\frac{\log{\left(8412 x - 5315 \right)}}{\log{\left(5 \right)}} - 2191 = 1079
x \in \left\{\frac{35705320250751689594466071210010007442976260570761362395212493560768653856468296881201394773327576891453841431590836552118931598714266822607195416806997908146718943633655527321508562962998712573926448814041356316379442694672534943919130038523290848505418376997857178729864375274094331953255939681101442633416237506597193283699343174085380051695130859677317796294962667573341914246742286348427565401479430043188941499422450095617642552809755071304448855549256204909472688869491166853954700129541135614699564746042383073293737414450050842125741671495793641449040633638152850942097005439695970341458644067033098688081824005402355063733735354985916887322105648520206495475898368069203290074377493356227397110636260224266563227551818299123522825703698562871094271330850082324224120853905881780491377544553278987335365912378613018378318533895680429934448057347655044379876361254269295099505182151735075571668676142251147152356158719434718498042992154932255796392651843361112344709581977653322373993637794330917206359795321833868427566577084599272365875833021353733233560840987112762549750761782748868105543100275391606983382015734686496427059106238111604593884108727220719795493131656874849141767348023604935708327747042088938155553126758572293548686529068963242310980597347447918880239699419645439069358675019529490318159930604773013450992870337294460084339195679200282230806352360875837219669255794037060020219470365361472756442862688614626774568339692916441714381671248966554380065113640904024170993578492947322657642472223953611116347640892841251810477692100755704118391265288057973916025440378134881146570355292868239279448271741831397049914231004590544258470640584777689799975856955154391371126141611646166986152768233254850233482609058099128165598537358999291731845012078398939105839310232932533610130317020103389788445292743508290065653187753126801925366049969622103206636737397120487663308817650329060909557836863010027721355798354456561130500074987934211074415779055163670322292979847662003541836715877783558504839290186299966294513492725656224746436451181872078630278063991339486918626627348512514751599648735144979952695762804389359901729266011451552790225569873541722350622649525897072866304956768626876133562921729990105429213216257403471059113838255901403802757461865743001745}{701}\right\}
Solve for x: logarithm of 5 to the power of -1 times logarithm of 8412 times x minus 5315 minus 2191 equals 1079.
e^{1928 x + 7679} + 10790 = 18844
x \in \left\{- \frac{7679}{1928} + \frac{\log{\left(8054 \right)}}{1928}\right\}
Solve for x: exponential of 1928 times x plus 7679 plus 10790 equals 18844.
\tan{\left(x - 3891 \right)} - 4353 = -4354
x \in \left\{n \pi - \frac{4953 \pi}{4} + 3891\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: tangent of x minus 3891 minus 4353 equals -4354.
9940 x + 3191 = 1071
x \in \left\{- \frac{106}{497}\right\}
Solve for x: 9940 times x plus 3191 equals 1071.
- 4932 x^{2} + 8044092 x + 383050237618 = -3302
x \in \left\{-8035, 9666\right\}
Solve for x: -4932 times x squared plus 8044092 times x plus 383050237618 equals -3302.
\left|{1690 x - 1364}\right| + 3188 = 8884
x \in \left\{- \frac{2166}{845}, \frac{706}{169}\right\}
Solve for x: Abs(1690*x - 1364) plus 3188 equals 8884.
-8111 + \frac{1471 x - 1001}{- 1466 x - 4680} = -13280
x \in \left\{- \frac{1860917}{582791}\right\}
Solve for x: -8111 plus -1466 times x minus 4680 to the power of -1 times 1471 times x minus 1001 equals -13280.
\log{\left(7072 x - 4193 \right)} + 6063 = \log{\left(5393 \right)} + 6063
x \in \left\{\frac{4793}{3536}\right\}
Solve for x: logarithm of 7072 times x minus 4193 plus 6063 equals logarithm of 5393 plus 6063.
\sqrt{- 6986 x - 5139} + 8178 = 12879
x \in \left\{- \frac{11052270}{3493}\right\}
Solve for x: -6986 times x minus 5139 to the power of 1 over 2 plus 8178 equals 12879.
5^{5954 x - 8932} - 9258 = - \frac{25119995730875057790176563463521539767109561023000630312586769552153318832635397581579711963177818908123617592697894225150119395659420061576667981714258901801707365817596756821458475067468919465431795179142413589178688134197192411708694037445589432954217352645282012342647014043206389377884880177037186448796723499810005821012395447974239080579173313823027058333536842837929725646972656249}{2713328551617526224905656023279492305801421583819467521342273660850434092961265670941856984573106384545648908262896330217122423380797155063368760176523968654321383216417882568746864880910447123075372129957054827087782256880232492083462306917864488329468281772011450890326961983496045515001607277709784667184783268503997172284769437024653173534151362478183955317945219576358795166015625}
x \in \left\{\frac{4191}{2977}\right\}
Solve for x: 5 to the power of 5954 times x minus 8932 minus 9258 equals -25119995730875057790176563463521539767109561023000630312586769552153318832635397581579711963177818908123617592697894225150119395659420061576667981714258901801707365817596756821458475067468919465431795179142413589178688134197192411708694037445589432954217352645282012342647014043206389377884880177037186448796723499810005821012395447974239080579173313823027058333536842837929725646972656249 over 2713328551617526224905656023279492305801421583819467521342273660850434092961265670941856984573106384545648908262896330217122423380797155063368760176523968654321383216417882568746864880910447123075372129957054827087782256880232492083462306917864488329468281772011450890326961983496045515001607277709784667184783268503997172284769437024653173534151362478183955317945219576358795166015625.
\frac{5802 - 5832 x}{8682 x - 3627} - 3918 = -12436
x \in \left\{\frac{2574082}{6162287}\right\}
Solve for x: 8682 times x minus 3627 to the power of -1 times 5802 minus 5832 times x minus 3918 equals -12436.
\frac{7966 - 3236 x}{- 3588 x - 9319} - 5211 = -4716
x \in \left\{- \frac{4620871}{1772824}\right\}
Solve for x: -3588 times x minus 9319 to the power of -1 times 7966 minus 3236 times x minus 5211 equals -4716.
2553 x^{3} - 9558432 x^{2} - 82742574267 x + 219948508830103 = -5495
x \in \left\{-5342, 2419, 6667\right\}
Solve for x: 2553 times x cubed minus 9558432 times x squared minus 82742574267 times x plus 219948508830103 equals -5495.
- 6751 x^{2} + 37657078 x - 11989923338 = -5567
x \in \left\{339, 5239\right\}
Solve for x: -6751 times x squared plus 37657078 times x minus 11989923338 equals -5567.
\log{\left(5123 - 3679 x \right)} - 3579 = -3579 + \log{\left(5336 \right)}
x \in \left\{- \frac{213}{3679}\right\}
Solve for x: logarithm of 5123 minus 3679 times x minus 3579 equals -3579 plus logarithm of 5336.
5632 x + 1983 = 10644
x \in \left\{\frac{8661}{5632}\right\}
Solve for x: 5632 times x plus 1983 equals 10644.
\log{\left(e^{- 5369 x - 5479} + 9836 \right)} - 1578 = -1578 + \log{\left(18275 \right)}
x \in \left\{- \frac{5479}{5369} - \frac{\log{\left(8439 \right)}}{5369}\right\}
Solve for x: logarithm of exponential of -5369 times x minus 5479 plus 9836 minus 1578 equals -1578 plus logarithm of 18275.
4867 x^{3} - 27644560 x^{2} - 239724196941 x + 488600742123689 = -4945
x \in \left\{-5799, 1786, 9693\right\}
Solve for x: 4867 times x cubed minus 27644560 times x squared minus 239724196941 times x plus 488600742123689 equals -4945.
- 8633 x^{5} + 63607944 x^{4} + 282305082669 x^{3} - 859354561499548 x^{2} - 2684309709507000672 x - 686995034181384714355 = -7795
x \in \left\{-3455, -2192, -284, 3963, 9336\right\}
Solve for x: -8633 times x to the power of 5 plus 63607944 times x to the power of 4 plus 282305082669 times x cubed minus 859354561499548 times x squared minus 2684309709507000672 times x minus 686995034181384714355 equals -7795.
\cos{\left(x - 9991 \right)} + 7859 = 7858
x \in \left\{2 n \pi - 3179 \pi + 9991\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: cosine of x minus 9991 plus 7859 equals 7858.
\sin{\left(2 x - 3478 \right)} - 4350 = - \frac{8701}{2}
x \in \left\{n \pi - \frac{6641 \pi}{12} + 1739\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{6637 \pi}{12} + 1739\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 2 times x minus 3478 minus 4350 equals -8701 over 2.
\sin{\left(3 x + 6979 \right)} - 3782 = -3782
x \in \left\{\frac{2 n \pi}{3} - \frac{6979}{3} + \frac{2222 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{6979}{3} + 741 \pi\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 3 times x plus 6979 minus 3782 equals -3782.
e^{6430 - 37 x} + 7945 = 14160
x \in \left\{\frac{6430}{37} - \frac{\log{\left(6215 \right)}}{37}\right\}
Solve for x: exponential of 6430 minus 37 times x plus 7945 equals 14160.
\cos{\left(3 x - 9167 \right)} - 4921 = -4922
x \in \left\{\frac{2 n \pi}{3} - \frac{2917 \pi}{3} + \frac{9167}{3}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: cosine of 3 times x minus 9167 minus 4921 equals -4922.
\log{\left(e^{2806 - 6237 x} + 4868 \right)} - 8429 = -8429 + \log{\left(6574 \right)}
x \in \left\{\frac{2806}{6237} - \frac{\log{\left(1706 \right)}}{6237}\right\}
Solve for x: logarithm of exponential of 2806 minus 6237 times x plus 4868 minus 8429 equals -8429 plus logarithm of 6574.
\sin{\left(4 x - 7935 \right)} - 4919 = - \frac{9839}{2}
x \in \left\{\frac{n \pi}{2} - \frac{15149 \pi}{24} + \frac{7935}{4}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - \frac{15145 \pi}{24} + \frac{7935}{4}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 4 times x minus 7935 minus 4919 equals -9839 over 2.
\sqrt{8155 x + 7837} - 7567 = -2184
x \in \left\{\frac{28968852}{8155}\right\}
Solve for x: 8155 times x plus 7837 to the power of 1 over 2 minus 7567 equals -2184.
2659 x^{5} - 47168001 x^{4} + 24292964352 x^{3} + 2764962380298028 x^{2} - 5624469615971682624 x - 38652081210038997454758 = 282
x \in \left\{-6292, -3132, 8615, 8654, 9894\right\}
Solve for x: 2659 times x to the power of 5 minus 47168001 times x to the power of 4 plus 24292964352 times x cubed plus 2764962380298028 times x squared minus 5624469615971682624 times x minus 38652081210038997454758 equals 282.
\left(- 6090 x - 8011\right)^{2} - 2225 = 21806675
x \in \left\{- \frac{4227}{2030}, - \frac{3341}{6090}\right\}
Solve for x: -6090 times x minus 8011 squared minus 2225 equals 21806675.
3^{989 - 2836 x} + 4256 = 19080723126317431639179050832449188085427795649244654009698245395917933596640415176677422795814680163790696923771626404640004696608261890661273568918744714480077720520711275368347558125433626241483353533834897800137790708266939581591986083760194438879971725090224632919598707042230146816638377074147834833613444541062454080436121624810852533728642308194450235748970210257659620176363592960985167133403269286050833842725665970702958432703449097587412351422984232414298594142711784904613616274547466630541111776260299798657172470492641846119411677543668888502656155246226798854772072420523736429091255429299876017347174973215448488913544711617345890235780048743574114662924669852455950917212290836461179081781573001144344336708210527454086272528747125741265621863175730520608216621578226761490340136697986439658054094094916561995881695910805656945422104646037483029853198406976631882310477035035856667121875823855271750334449643864706424315900909825515760837493601100402068635833981937235458826873413671783304052367299820582229137307375584874864837615543555529869401383995686288344376210722149711945223482263987947079511794145236054561591219956282274545318314089275171508864256981848446102361015529029701724465615041406162231923013904622253339012668566227092189429035677748264812610877643001412894717273886763049930850342856398209067349017727080561638245715210273057920115228485735475965922493632573461861434935102775368747945192838604325940681741638991998687679722709062522232131428028734648083829772618756096886785594698406931645614085977437778599017197524556602283862927936420303968932328655390198858413943074067266363272805920979976504121326113949954623659884029682874530614239591908475281772742199483558582007445837175562376917126468961993062006782610244032612407734180095239310191352871595803232482271475456823428112350396793379814393621390070450751475563514521716475828459861521916540290580966514852919961182836943335611928796935183238520048605182817341739816623447585417999073270097991546814440480077092465305976322934322928449091256482836520156228314093205647766856265567425643183896190243121688988376366058986068453480938827938272826635398766089184113438832534780449714579121492971720279631378807795884876600217356613492579793576683523590979609080724953569892981668735433720162212780420757785100660681960196627734175240204748969086622465684682619412601075872168498647288192108586188323684696552723626102927644625121495482516816911391505261607349920056774969679079122246770122144815790041623544563772078143679310887494942458750474491313028981404640022233427965654285242840742146921010929814952930169475969491279922719673836086203884779001714414757163033898834248133016628863059554732275042888684193169507601030037402908782539101415259684939762677660852615262480512254212217783734404891953729955290794177002807063016337089257926695808887665969278743033294448723131325699972479298345429201501878008988659096851162360547799131167921950465166964263527571650755287625024729073636390369744335426301324498982694740139341343925197564553301844930005120712611517803777630348653697014129495722495766975832866541117033636029924293656684846015360485286772972036323784154659757271712762812414605648170749226584752045644900831443832494817193813452253768734013740651404519278505
x \in \left\{- \frac{5861}{2836}\right\}
Solve for x: 3 to the power of 989 minus 2836 times x plus 4256 equals 19080723126317431639179050832449188085427795649244654009698245395917933596640415176677422795814680163790696923771626404640004696608261890661273568918744714480077720520711275368347558125433626241483353533834897800137790708266939581591986083760194438879971725090224632919598707042230146816638377074147834833613444541062454080436121624810852533728642308194450235748970210257659620176363592960985167133403269286050833842725665970702958432703449097587412351422984232414298594142711784904613616274547466630541111776260299798657172470492641846119411677543668888502656155246226798854772072420523736429091255429299876017347174973215448488913544711617345890235780048743574114662924669852455950917212290836461179081781573001144344336708210527454086272528747125741265621863175730520608216621578226761490340136697986439658054094094916561995881695910805656945422104646037483029853198406976631882310477035035856667121875823855271750334449643864706424315900909825515760837493601100402068635833981937235458826873413671783304052367299820582229137307375584874864837615543555529869401383995686288344376210722149711945223482263987947079511794145236054561591219956282274545318314089275171508864256981848446102361015529029701724465615041406162231923013904622253339012668566227092189429035677748264812610877643001412894717273886763049930850342856398209067349017727080561638245715210273057920115228485735475965922493632573461861434935102775368747945192838604325940681741638991998687679722709062522232131428028734648083829772618756096886785594698406931645614085977437778599017197524556602283862927936420303968932328655390198858413943074067266363272805920979976504121326113949954623659884029682874530614239591908475281772742199483558582007445837175562376917126468961993062006782610244032612407734180095239310191352871595803232482271475456823428112350396793379814393621390070450751475563514521716475828459861521916540290580966514852919961182836943335611928796935183238520048605182817341739816623447585417999073270097991546814440480077092465305976322934322928449091256482836520156228314093205647766856265567425643183896190243121688988376366058986068453480938827938272826635398766089184113438832534780449714579121492971720279631378807795884876600217356613492579793576683523590979609080724953569892981668735433720162212780420757785100660681960196627734175240204748969086622465684682619412601075872168498647288192108586188323684696552723626102927644625121495482516816911391505261607349920056774969679079122246770122144815790041623544563772078143679310887494942458750474491313028981404640022233427965654285242840742146921010929814952930169475969491279922719673836086203884779001714414757163033898834248133016628863059554732275042888684193169507601030037402908782539101415259684939762677660852615262480512254212217783734404891953729955290794177002807063016337089257926695808887665969278743033294448723131325699972479298345429201501878008988659096851162360547799131167921950465166964263527571650755287625024729073636390369744335426301324498982694740139341343925197564553301844930005120712611517803777630348653697014129495722495766975832866541117033636029924293656684846015360485286772972036323784154659757271712762812414605648170749226584752045644900831443832494817193813452253768734013740651404519278505.
\log{\left(1224 x - 5826 \right)} - 3576 = -3576 + \log{\left(3714 \right)}
x \in \left\{\frac{265}{34}\right\}
Solve for x: logarithm of 1224 times x minus 5826 minus 3576 equals -3576 plus logarithm of 3714.
948 + \frac{1}{4989 x - 344} = - \frac{2203}{2}
x \in \left\{\frac{470018}{6816637}\right\}
Solve for x: 948 plus 4989 times x minus 344 to the power of -1 equals -2203 over 2.
- 4362 x^{2} + 20872170 x + 218011773426 = -9486
x \in \left\{-5071, 9856\right\}
Solve for x: -4362 times x squared plus 20872170 times x plus 218011773426 equals -9486.
\sin{\left(3 x + 8048 \right)} + 5137 = 5136
x \in \left\{\frac{2 n \pi}{3} - \frac{8048}{3} + \frac{1709 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 3 times x plus 8048 plus 5137 equals 5136.
\sin{\left(2 x - 8554 \right)} - 7054 = -7055
x \in \left\{n \pi - \frac{5445 \pi}{4} + 4277\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 2 times x minus 8554 minus 7054 equals -7055.
\log{\left(4961 x - 1011 \right)} + 2035 = 11254
x \in \left\{\frac{1011}{4961} + \frac{e^{9219}}{4961}\right\}
Solve for x: logarithm of 4961 times x minus 1011 plus 2035 equals 11254.
\left|{1184 x - 8455}\right| + 7488 = 14329
x \in \left\{\frac{807}{592}, \frac{478}{37}\right\}
Solve for x: Abs(1184*x - 8455) plus 7488 equals 14329.
\frac{\log{\left(2857 x - 3304 \right)}}{\log{\left(2 \right)}} - 9431 = -12088
x \in \left\{\frac{226849861184853954035845869017809220929588804423030102254724632913645888201835403482977237975777144298540493709784040801477119499984749841909359087308561089185636240340658566819639385718948923680300435300938063312655428593214281377616457686017367982337245797260889695442146391521580087420899281445231276503501158201621556901600857017348900665576568665166459389087159647778596537405654199584980915390741299552518052296795815715313561290748383594726575440590397365279663162834164328203887460229259279375435205038959589929102436413419905167765261868008933594968112155574462461317340290539147259522184975512070638368523231184292953132111409982796982302274553382882061907320520070868552363049582706281299409414062845016428971251291719052089642215428624714125334264098451309325006069770959796060285115551449089}{196159217132302586767679070152506339042323006730204903795928655034590285288330432127986068068037318783574512871928875475127158114847587862692203060666028762652349497171083996792890352602614126802245261396725195788213244397945884351044255329585841502886655945149625260253696198721899004165105704324765664942646128626523240940639724121841951937515816185345210192076881087682642344845022411687133921086969701217174356964874590041964541346146529034544136208767180772579902438322399360072187189429477530622160526875395747102737790809061945842707431342887870242380113931136876286919988259706520496505715034817792316531135251662689154690811833632218819139708958539616843483418500557648745188024412164602201093430985940742111855588662361177911654906016822278527869247133557926979885696530155005249465670439010304}\right\}
Solve for x: logarithm of 2 to the power of -1 times logarithm of 2857 times x minus 3304 minus 9431 equals -12088.
\sin{\left(2 x + 3482 \right)} - 7933 = -7932
x \in \left\{n \pi - 1741 + \frac{2217 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 2 times x plus 3482 minus 7933 equals -7932.
- 7269 x^{4} - 56291136 x^{3} + 252760960857 x^{2} + 2896927485908112 x + 5584162105413525142 = -4598
x \in \left\{-6263, -5433, -3170, 7122\right\}
Solve for x: -7269 times x to the power of 4 minus 56291136 times x cubed plus 252760960857 times x squared plus 2896927485908112 times x plus 5584162105413525142 equals -4598.
-8614 + \frac{1}{1954 - 6826 x} = - \frac{22130}{3}
x \in \left\{\frac{7253245}{25338112}\right\}
Solve for x: -8614 plus 1954 minus 6826 times x to the power of -1 equals -22130 over 3.
8546 x^{2} + 77110558 x + 173735496257 = -535
x \in \left\{-4667, -4356\right\}
Solve for x: 8546 times x squared plus 77110558 times x plus 173735496257 equals -535.
\left|{8978 x - 7549}\right| - 3661 = -3045
x \in \left\{\frac{6933}{8978}, \frac{8165}{8978}\right\}
Solve for x: Abs(8978*x - 7549) minus 3661 equals -3045.
- 9293 x^{4} + 59837627 x^{3} + 373498512926 x^{2} - 1466465446127600 x - 5374952864751997627 = -4027
x \in \left\{-4235, -2984, 5898, 7760\right\}
Solve for x: -9293 times x to the power of 4 plus 59837627 times x cubed plus 373498512926 times x squared minus 1466465446127600 times x minus 5374952864751997627 equals -4027.
e^{8821 x - 1855} + 12439 = 20694
x \in \left\{\frac{\log{\left(8255 \right)}}{8821} + \frac{1855}{8821}\right\}
Solve for x: exponential of 8821 times x minus 1855 plus 12439 equals 20694.
3^{- 8851 x - 4905} - 1209 = 28003649807759225504198358923517944048985485565207810390933088391985974914634275392718211321116613571195417266081482911535108514450076896702133119851730845036990556402489322280812350961214289509671887612595761987389700650795889906969159137518364396755682674998878579062342024355914849880496205346936096056124805385396382088526963072198488699833025383035939776344415871897939145429565853228698332894919816605584023383464182588380880507619196496510867164116604992911714271449997039562477649230212402153734384862075198710986958687044809055705867678515999991861654416606074675100706518550347241923944161149456612371121911970400019726524727874930426757975961418469280166035075625194985459488324712451275905818382435941513646662722650785824563694546057864581027618403903426734926048184833719865299479121950841958407400206204714732765971804729571678051204885068792137518416734238527060693308779698162985564814407875975120842304917152860896489911762053279379417843786246698401052026927495245328478934010209484935359341412443834371817110503782711338862140026558492538806612668820807753402770459101769681660130975415547526072057691178430926122166174086202115620536343149208630944194579530680928756670541173709710197625003222339353344176689624719544620401521518387435096438895168171925407019118341849684597397957146099588180295452164237005439218290649566853504880197353426538795813360028576360318759369443315452088652163330645558297838135183167693963673995453490817021107281170766271343770339444686315617321286857171337598778661121597519967146491876745632335932021145549973127466857222057560266906140965937253036222086565474146349858886312245204501437945083090246176409144027334825458476101543667626315470478493853111786541649534839693206092533866204886806060511548011918006227385038849465852553327539541012335650791794624648984433189642195913744808617824588555943336767827755087850990527969805191092981491452578262710890305035982410535931155114293258763238717444007592131093062576016343554057981283486810464947648132418219278021253734794176051435125904401373480808982723430373942622315730086087345761093625329148726778876055868535611916541356733563000773780280539433608411792285287086011905939776996110735026744057912515056576013029318212311106566637984911146737624072875632712214557725485569620669649742261261154361766456364384501094120781831234687814578448142811920829548229273220227249377126292442532558624213558521315676236470250853743288675722811453476424703706798836880955583430243439049589839329141833598873712690225342612354717724049920893805622841846240459539559187542275700553349196329365696289211512305091454493131400163832260251334088882556252425576137694328530504959524381297619772270948947087611593843338684819955315119395754836420764515040
x \in \left\{- \frac{10655}{8851}\right\}
Solve for x: 3 to the power of -8851 times x minus 4905 minus 1209 equals 28003649807759225504198358923517944048985485565207810390933088391985974914634275392718211321116613571195417266081482911535108514450076896702133119851730845036990556402489322280812350961214289509671887612595761987389700650795889906969159137518364396755682674998878579062342024355914849880496205346936096056124805385396382088526963072198488699833025383035939776344415871897939145429565853228698332894919816605584023383464182588380880507619196496510867164116604992911714271449997039562477649230212402153734384862075198710986958687044809055705867678515999991861654416606074675100706518550347241923944161149456612371121911970400019726524727874930426757975961418469280166035075625194985459488324712451275905818382435941513646662722650785824563694546057864581027618403903426734926048184833719865299479121950841958407400206204714732765971804729571678051204885068792137518416734238527060693308779698162985564814407875975120842304917152860896489911762053279379417843786246698401052026927495245328478934010209484935359341412443834371817110503782711338862140026558492538806612668820807753402770459101769681660130975415547526072057691178430926122166174086202115620536343149208630944194579530680928756670541173709710197625003222339353344176689624719544620401521518387435096438895168171925407019118341849684597397957146099588180295452164237005439218290649566853504880197353426538795813360028576360318759369443315452088652163330645558297838135183167693963673995453490817021107281170766271343770339444686315617321286857171337598778661121597519967146491876745632335932021145549973127466857222057560266906140965937253036222086565474146349858886312245204501437945083090246176409144027334825458476101543667626315470478493853111786541649534839693206092533866204886806060511548011918006227385038849465852553327539541012335650791794624648984433189642195913744808617824588555943336767827755087850990527969805191092981491452578262710890305035982410535931155114293258763238717444007592131093062576016343554057981283486810464947648132418219278021253734794176051435125904401373480808982723430373942622315730086087345761093625329148726778876055868535611916541356733563000773780280539433608411792285287086011905939776996110735026744057912515056576013029318212311106566637984911146737624072875632712214557725485569620669649742261261154361766456364384501094120781831234687814578448142811920829548229273220227249377126292442532558624213558521315676236470250853743288675722811453476424703706798836880955583430243439049589839329141833598873712690225342612354717724049920893805622841846240459539559187542275700553349196329365696289211512305091454493131400163832260251334088882556252425576137694328530504959524381297619772270948947087611593843338684819955315119395754836420764515040.
\sqrt{3817 - 1378 x} + 7137 = 9271
x \in \left\{- \frac{4550139}{1378}\right\}
Solve for x: 3817 minus 1378 times x to the power of 1 over 2 plus 7137 equals 9271.
\sin{\left(x - 7898 \right)} + 7280 = 7281
x \in \left\{2 n \pi - \frac{5027 \pi}{2} + 7898\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of x minus 7898 plus 7280 equals 7281.
\log{\left(e^{4428 x + 3045} + 2351 \right)} + 3455 = \log{\left(4130 \right)} + 3455
x \in \left\{- \frac{1015}{1476} + \frac{\log{\left(1779 \right)}}{4428}\right\}
Solve for x: logarithm of exponential of 4428 times x plus 3045 plus 2351 plus 3455 equals logarithm of 4130 plus 3455.
e^{1404 - 8643 x} + 4387 = 8340
x \in \left\{\frac{468}{2881} - \frac{\log{\left(3953 \right)}}{8643}\right\}
Solve for x: exponential of 1404 minus 8643 times x plus 4387 equals 8340.
- 201 x^{4} + 814854 x^{3} + 12030215217 x^{2} - 65137529338542 x + 56634410618557829 = -9667
x \in \left\{-8317, 1109, 4554, 6708\right\}
Solve for x: -201 times x to the power of 4 plus 814854 times x cubed plus 12030215217 times x squared minus 65137529338542 times x plus 56634410618557829 equals -9667.
\left|{2140 x - 3081}\right| + 4113 = 9171
x \in \left\{- \frac{1977}{2140}, \frac{8139}{2140}\right\}
Solve for x: Abs(2140*x - 3081) plus 4113 equals 9171.
8091 x^{3} - 85101138 x^{2} + 283834618299 x - 294864770906604 = 7848
x \in \left\{2076, 3709, 4733\right\}
Solve for x: 8091 times x cubed minus 85101138 times x squared plus 283834618299 times x minus 294864770906604 equals 7848.
- 424 x^{3} - 2409592 x^{2} - 2805715696 x + 1794386357186 = 3074
x \in \left\{-3218, -2916, 451\right\}
Solve for x: -424 times x cubed minus 2409592 times x squared minus 2805715696 times x plus 1794386357186 equals 3074.
\frac{2825 - 4055 x}{1439 x + 2400} + 6050 = 5057
x \in \left\{- \frac{2386025}{1424872}\right\}
Solve for x: 1439 times x plus 2400 to the power of -1 times 2825 minus 4055 times x plus 6050 equals 5057.
3^{4820 x + 5401} - 644 = 47046694987164155927874704144926999125623123329232245302192845432122393565204794328064837767032681394497898513077341422286725985047649306492743618456232520112043690908000212643626336762749806993615697752032370854505723695474116262387817897227240159219574080070247536071326739890454677397681031950960288014845106391383890685412569540979336296856374729948867629443911608160956390993053364336354223827967357537682786712251754966592616381459993063711429819787936902358596845096191576300622680894754385299629043841466642524328990370179365058310835433396261643022549000955040110237705039363194824346438075709479382598556285718571733706910089659590671946101440462017473546186386491603493751023417126453044540040041218675485091775175876135802947653698435023814121328154144528688316692624584680430534588016893620036583316222213527012436636165563314695469987328043715316344220792712565265073110054671467089190925139059249290415931121195202402243782613806001850647923792737758841238233659501873529552087902664109856468804645692173812879115199161815671263788674291876859530786008660146294372631450775478133741280568761059194549787650831983338270001691120269474157731548639402123897050165
x \in \left\{- \frac{2939}{4820}\right\}
Solve for x: 3 to the power of 4820 times x plus 5401 minus 644 equals 47046694987164155927874704144926999125623123329232245302192845432122393565204794328064837767032681394497898513077341422286725985047649306492743618456232520112043690908000212643626336762749806993615697752032370854505723695474116262387817897227240159219574080070247536071326739890454677397681031950960288014845106391383890685412569540979336296856374729948867629443911608160956390993053364336354223827967357537682786712251754966592616381459993063711429819787936902358596845096191576300622680894754385299629043841466642524328990370179365058310835433396261643022549000955040110237705039363194824346438075709479382598556285718571733706910089659590671946101440462017473546186386491603493751023417126453044540040041218675485091775175876135802947653698435023814121328154144528688316692624584680430534588016893620036583316222213527012436636165563314695469987328043715316344220792712565265073110054671467089190925139059249290415931121195202402243782613806001850647923792737758841238233659501873529552087902664109856468804645692173812879115199161815671263788674291876859530786008660146294372631450775478133741280568761059194549787650831983338270001691120269474157731548639402123897050165.
\log{\left(2784 x + 5710 \right)} + 8081 = 10156
x \in \left\{- \frac{2855}{1392} + \frac{e^{2075}}{2784}\right\}
Solve for x: logarithm of 2784 times x plus 5710 plus 8081 equals 10156.
3927 x^{3} + 2521134 x^{2} - 217897562883 x + 317605688350573 = -1841
x \in \left\{-8397, 1553, 6202\right\}
Solve for x: 3927 times x cubed plus 2521134 times x squared minus 217897562883 times x plus 317605688350573 equals -1841.
\cos{\left(4 x + 1156 \right)} - 3480 = -3479
x \in \left\{\frac{n \pi}{2} - 289 + 92 \pi\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: cosine of 4 times x plus 1156 minus 3480 equals -3479.
-8434 + \frac{1}{9038 - 3776 x} = - \frac{37757}{4}
x \in \left\{\frac{18170901}{7591648}\right\}
Solve for x: -8434 plus 9038 minus 3776 times x to the power of -1 equals -37757 over 4.
\frac{4358 - 3124 x}{- 2890 x - 3051} + 656 = 3760
x \in \left\{- \frac{4737331}{4483718}\right\}
Solve for x: -2890 times x minus 3051 to the power of -1 times 4358 minus 3124 times x plus 656 equals 3760.
- 1660 x^{4} - 7393640 x^{3} + 32243489740 x^{2} + 82851077591960 x - 212333571515859479 = 8521
x \in \left\{-5604, -3817, 2050, 2917\right\}
Solve for x: -1660 times x to the power of 4 minus 7393640 times x cubed plus 32243489740 times x squared plus 82851077591960 times x minus 212333571515859479 equals 8521.
2008 x^{2} - 13033928 x + 12333433806 = -3394
x \in \left\{1150, 5341\right\}
Solve for x: 2008 times x squared minus 13033928 times x plus 12333433806 equals -3394.
\left|{7009 x + 234}\right| + 5016 = 12900
x \in \left\{- \frac{8118}{7009}, \frac{7650}{7009}\right\}
Solve for x: Abs(7009*x + 234) plus 5016 equals 12900.
\sqrt{5723 x - 560} - 6316 = 2084
x \in \left\{\frac{70560560}{5723}\right\}
Solve for x: 5723 times x minus 560 to the power of 1 over 2 minus 6316 equals 2084.
\log{\left(e^{2681 x - 8377} + 1108 \right)} - 3853 = -3853 + \log{\left(5009 \right)}
x \in \left\{\frac{\log{\left(3901 \right)}}{2681} + \frac{8377}{2681}\right\}
Solve for x: logarithm of exponential of 2681 times x minus 8377 plus 1108 minus 3853 equals -3853 plus logarithm of 5009.
- 7471 x^{3} + 88202626 x^{2} - 195434105659 x + 99426004656697 = -5807
x \in \left\{741, 1976, 9089\right\}
Solve for x: -7471 times x cubed plus 88202626 times x squared minus 195434105659 times x plus 99426004656697 equals -5807.
9158 + \frac{1}{9830 x + 2933} = \frac{27499}{2}
x \in \left\{- \frac{26933737}{90268890}\right\}
Solve for x: 9158 plus 9830 times x plus 2933 to the power of -1 equals 27499 over 2.
\sin{\left(3 x + 3212 \right)} + 7477 = 7478
x \in \left\{\frac{2 n \pi}{3} - \frac{3212}{3} + \frac{2045 \pi}{6}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: sine of 3 times x plus 3212 plus 7477 equals 7478.
- 4166 x^{3} - 58119866 x^{2} - 122651939216 x + 592863848951670 = -2754
x \in \left\{-8622, -7523, 2194\right\}
Solve for x: -4166 times x cubed minus 58119866 times x squared minus 122651939216 times x plus 592863848951670 equals -2754.
\frac{6295 x - 6320}{7993 x - 7947} - 2696 = - \frac{14695}{2}
x \in \left\{\frac{73943581}{74371469}\right\}
Solve for x: 7993 times x minus 7947 to the power of -1 times 6295 times x minus 6320 minus 2696 equals -14695 over 2.
\frac{\log{\left(9564 - 9629 x \right)}}{\log{\left(5 \right)}} - 8275 = -1969
x \in \left\{- \frac{5068125293753338468728466864521749577484337121884096218701092599642895419986487216761215963435429302234881341568320769025550963091460693594803339130978872993906868425231213185471093046734536151449759577872356382838469461381869701957808127609971076218384652087178294267910335092181865489240992742985039435816924239822691519078488497412620820633355213208669550667989393799912280197270414425349898385001424229171906571000678290767825678145713549688531624944337180488696189641485681460703246748117934118410691827225934161999701744565841840035550770724771275726150682143380075234370054743608971126890552225423006547388159937981586154723412976516015352051375353938734411379663738279208159672305637555215690434541154138751859704906092251630295691241967100491736278002811413212662355297592830722299205120739872400160990185625901192975480552808778148186116833825402803108836430166258349192941747282105187493202804758079226899682161379760413803401925190746340527775968086397593101260480304021793852730975466816958378541045031463213423597294266162175307009059041522276017534233219738235354166441388315502969953025255320887356248626357225210860779060618395453882812217813297493396070686317613455333256004866206416977782948760865955676842245090635051321030087115375139001142119416449570731000072651213262533338336152269312166886086052811146713904311290567466023430298896418765516008033274550810983894354466190862954856941041841446643363816614769696786418335145728312628339584624908640204608985264733648848447603890313619545733312083185919231757613892397299691163551878394774520131131132517665475749795474886351315080370705327877522422653067710475211634480573075999896515363043984393611257327269532216760528372306830408130031584508976660429268463929534351099497071198950184271001642942792476778057470919079898419212855059107290458373513231193399270769980115722438922056612884158774909265081404844311090410732755285617573951590463606858326108893081281994468004727145405790415595957918803766924502179352354940533091304100054341933387815102879317250745633201463035436167652848731155758160027894847702315427217267512889894010630202125021763931455233902109784078745848204522174970323144159029042667691117327432038905016994913954962946665933061321462127043876549361950770717580918486016303632619358553944431751253618901413658916150879453602161106933746846807191067285535823252905847912032697162612170929884388616031678855453508274431465280249241665066908823015506329078035742397640042753379428320787787908227332484874841888568134408001613875035775175567417960966227141111720091554405868100619224219666397723608329839044394276299444209967029039417386748671913352295407121371567572751919321932315104476431428412226735324444981140072949494245397603027166227730713937059407222720520536341986641592405894069192538542842032890763036982116785021741993124876671682340072227701730399251813045993598433679773260865102779260381737392117419422908710435469997367588728749595470786427584677077513179290440654636536308900881312170683835350242442434526867573108044098783840584139102353126497186051297358970283778183983981877177717311029270922407870732935436746694135772751473560716276068673490424921398169720405333855500825945988199206849503193160152072901188172459209337242854228835606731490471244321378843375999982018506730532275950405010761877777914555254443632922938968415266380970912102879408740839890142375750443696886960146874121692945024621475774925128730200559004510342307602349286587637472406136416650216671987242558339429311332629649607869608224991357641238953839390244928201492649752472106417396818880010828189830357249246059938137467219072977109132576925629973103985690075312778802052142997848508654830841370522923767521735628488502347019185267768750967521548889452418422656750389526589900614444549525449033796572365488072357275838294685538971246004692408596910510233024074183605048609429022128485441790288877449619535739173743626818657505239325788200212126353413599660213560190089532694197593227244720112993217772367905431515505517847272726898128042673009754756256773135148717230887853276711290656526514581238344200193946542398735895923617708912453663595468852034207550161303720161934490562293399634763666871049092411686953872749968494694209545242961927004926904698428449253708166296767577876633842299279595994197596785727099229217645072852822827474477517431328091756738417703505189898191031494523173250854597426950931549072256061}{9629}\right\}
Solve for x: logarithm of 5 to the power of -1 times logarithm of 9564 minus 9629 times x minus 8275 equals -1969.
\left(4801 - 378 x\right)^{2} - 8101 = 1208508
x \in \left\{\frac{1849}{189}, \frac{328}{21}\right\}
Solve for x: 4801 minus 378 times x squared minus 8101 equals 1208508.
\left(- 5740 x - 3782\right)^{2} - 8145 = 68269024
x \in \left\{- \frac{2409}{1148}, \frac{4481}{5740}\right\}
Solve for x: -5740 times x minus 3782 squared minus 8145 equals 68269024.
\sqrt{8095 - 1264 x} + 8958 = 14497
x \in \left\{- \frac{15336213}{632}\right\}
Solve for x: 8095 minus 1264 times x to the power of 1 over 2 plus 8958 equals 14497.
-2629 + \frac{8035 x - 5596}{7690 x + 7294} = -34
x \in \left\{- \frac{18933526}{19947515}\right\}
Solve for x: -2629 plus 7690 times x plus 7294 to the power of -1 times 8035 times x minus 5596 equals -34.
\left|{3500 x + 7480}\right| - 1105 = 4885
x \in \left\{- \frac{1347}{350}, - \frac{149}{350}\right\}
Solve for x: Abs(3500*x + 7480) minus 1105 equals 4885.
\log{\left(e^{1823 x - 4253} + 8648 \right)} + 7475 = \log{\left(13958 \right)} + 7475
x \in \left\{\frac{\log{\left(5310 \right)}}{1823} + \frac{4253}{1823}\right\}
Solve for x: logarithm of exponential of 1823 times x minus 4253 plus 8648 plus 7475 equals logarithm of 13958 plus 7475.
230 + \frac{1}{5788 x + 1331} = - \frac{4585}{2}
x \in \left\{- \frac{6714897}{29200460}\right\}
Solve for x: 230 plus 5788 times x plus 1331 to the power of -1 equals -4585 over 2.
e^{5950 - 6324 x} + 9848 = 14030
x \in \left\{\frac{175}{186} - \frac{\log{\left(4182 \right)}}{6324}\right\}
Solve for x: exponential of 5950 minus 6324 times x plus 9848 equals 14030.
\log{\left(- 4355 x - 1800 \right)} + 2218 = 3236
x \in \left\{- \frac{360}{871} - \frac{e^{1018}}{4355}\right\}
Solve for x: logarithm of -4355 times x minus 1800 plus 2218 equals 3236.
e^{1750 x + 9916} + 936 = 8057
x \in \left\{- \frac{4958}{875} + \frac{\log{\left(7121 \right)}}{1750}\right\}
Solve for x: exponential of 1750 times x plus 9916 plus 936 equals 8057.
- 6496 x^{3} + 77510272 x^{2} - 21183741824 x - 1242009988450637 = 1715
x \in \left\{-3424, 5914, 9442\right\}
Solve for x: -6496 times x cubed plus 77510272 times x squared minus 21183741824 times x minus 1242009988450637 equals 1715.
e^{- 3477 x - 7703} + 5424 = 11400
x \in \left\{- \frac{7703}{3477} - \frac{\log{\left(5976 \right)}}{3477}\right\}
Solve for x: exponential of -3477 times x minus 7703 plus 5424 equals 11400.
4569 x - 4547 = 12771
x \in \left\{\frac{17318}{4569}\right\}
Solve for x: 4569 times x minus 4547 equals 12771.
- 8327 x^{5} + 120125302 x^{4} - 22291154171 x^{3} - 4692180468046192 x^{2} + 10073198053143193628 x + 20058523993120159898949 = -8411
x \in \left\{-5816, -1274, 4873, 6730, 9913\right\}
Solve for x: -8327 times x to the power of 5 plus 120125302 times x to the power of 4 minus 22291154171 times x cubed minus 4692180468046192 times x squared plus 10073198053143193628 times x plus 20058523993120159898949 equals -8411.
5959 x^{4} + 29056084 x^{3} - 126331526998 x^{2} - 66350349086572 x + 107271390851793070 = -2681
x \in \left\{-7471, -1091, 753, 2933\right\}
Solve for x: 5959 times x to the power of 4 plus 29056084 times x cubed minus 126331526998 times x squared minus 66350349086572 times x plus 107271390851793070 equals -2681.
\log{\left(e^{478 x - 3935} + 3125 \right)} + 7335 = \log{\left(9798 \right)} + 7335
x \in \left\{\frac{\log{\left(6673 \right)}}{478} + \frac{3935}{478}\right\}
Solve for x: logarithm of exponential of 478 times x minus 3935 plus 3125 plus 7335 equals logarithm of 9798 plus 7335.
\tan{\left(3 x - 5163 \right)} + 1807 = 1807
x \in \left\{\frac{n \pi}{3} - \frac{1643 \pi}{3} + 1721\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: tangent of 3 times x minus 5163 plus 1807 equals 1807.
\cos{\left(3 x - 6899 \right)} + 3628 = \frac{7255}{2}
x \in \left\{\frac{2 n \pi}{3} - \frac{6586 \pi}{9} + \frac{6899}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{6584 \pi}{9} + \frac{6899}{3}\; \middle|\; n \in \mathbb{Z}\right\}
Solve for x: cosine of 3 times x minus 6899 plus 3628 equals 7255 over 2.
e^{- 4628 x - 4943} - 8805 = -716
x \in \left\{- \frac{4943}{4628} - \frac{\log{\left(8089 \right)}}{4628}\right\}
Solve for x: exponential of -4628 times x minus 4943 minus 8805 equals -716.