problem_latex string | solution_latex string | problem_english string |
|---|---|---|
\frac{\log{\left(- 1683 x - 3994 \right)}}{\log{\left(10 \right)}} - 1314 = 7075 | x \in \left\{- \frac{90909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909... | Solve for x: logarithm of 10 to the power of -1 times logarithm of -1683 times x minus 3994 minus 1314 equals 7075. |
- 8082 x^{3} + 7176816 x^{2} + 507081838086 x - 854587156655200 = -3100 | x \in \left\{-8259, 1725, 7422\right\} | Solve for x: -8082 times x cubed plus 7176816 times x squared plus 507081838086 times x minus 854587156655200 equals -3100. |
\left(4395 - 5061 x\right)^{4} - 722 = 1662048169649903 | x \in \left\{- \frac{1990}{5061}, \frac{1540}{723}\right\} | Solve for x: 4395 minus 5061 times x to the power of 4 minus 722 equals 1662048169649903. |
10^{1825 x - 8434} - 963 = 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... | x \in \left\{\frac{2479}{365}\right\} | Solve for x: 10 to the power of 1825 times x minus 8434 minus 963 equals 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... |
\log{\left(- 7012 x - 6075 \right)} - 1901 = -1901 + \log{\left(7763 \right)} | x \in \left\{- \frac{6919}{3506}\right\} | Solve for x: logarithm of -7012 times x minus 6075 minus 1901 equals -1901 plus logarithm of 7763. |
\frac{\log{\left(7318 x + 2586 \right)}}{\log{\left(2 \right)}} + 7658 = 9012 | x \in \left\{\frac{1966002806082522635228709062493726671748973131790279035367145846794629096412252444101863924068735038391466043504323074406264420970059248873353157462521258262734212525034426032560771983636843969850347829238934705766029682665729101985140035292621167250838275712457821515424144775387138119873471633724633... | Solve for x: logarithm of 2 to the power of -1 times logarithm of 7318 times x plus 2586 plus 7658 equals 9012. |
232 x - 4476 = -9188 | x \in \left\{- \frac{589}{29}\right\} | Solve for x: 232 times x minus 4476 equals -9188. |
- 2083 x^{2} - 7334243 x - 6455918427 = 6793 | x \in \left\{-1765, -1756\right\} | Solve for x: -2083 times x squared minus 7334243 times x minus 6455918427 equals 6793. |
e^{5102 - 5150 x} - 9424 = -6536 | x \in \left\{\frac{2551}{2575} - \frac{\log{\left(2888 \right)}}{5150}\right\} | Solve for x: exponential of 5102 minus 5150 times x minus 9424 equals -6536. |
3^{- 4842 x - 4032} + 3578 = 353614941115655150956425406033488274092641301597851185033745020443466514928380998129566803324838050230150026830583806393891001004392105250961948063686744032936384470316921049028475861227840696705777253254126471877129093626607095580184240353365515658667974262489958468417830742577198926714807... | x \in \left\{- \frac{8663}{4842}\right\} | Solve for x: 3 to the power of -4842 times x minus 4032 plus 3578 equals 3536149411156551509564254060334882740926413015978511850337450204434665149283809981295668033248380502301500268305838063938910010043921052509619480636867440329363844703169210490284758612278406967057772532541264718771290936266070955801842403533655156... |
3^{9171 - 7776 x} - 985 = 351115528885861309017925525326437333247549727509988004163256098116514975571017713451384679247127191953666420757187260540246463408242501406676817697718651452982200116495004825994844369136578644614673172659465187025021269540910449341046368731075020568877310962868489305098148619228512608672036290... | x \in \left\{\frac{715}{972}\right\} | Solve for x: 3 to the power of 9171 minus 7776 times x minus 985 equals 35111552888586130901792552532643733324754972750998800416325609811651497557101771345138467924712719195366642075718726054024646340824250140667681769771865145298220011649500482599484436913657864461467317265946518702502126954091044934104636873107502056... |
1609 x + 15513 = 13828 | x \in \left\{- \frac{1685}{1609}\right\} | Solve for x: 1609 times x plus 15513 equals 13828. |
5109 + \frac{1}{- 5554 x - 5032} = -88 | x \in \left\{- \frac{26151303}{28864138}\right\} | Solve for x: 5109 plus -5554 times x minus 5032 to the power of -1 equals -88. |
\frac{\log{\left(3673 - 2751 x \right)}}{\log{\left(2 \right)}} + 1103 = -4469 | x \in \left\{\frac{2673224995914347471478070279239020814586981777091289910214694958552114504781597635398848778586775146833547702753571298257860407432516101936075577076850869951366703001267261692970237079176239182561353072517915366912764212550019279494138409728382685873292460212392178082991912905610379789008479761795006... | Solve for x: logarithm of 2 to the power of -1 times logarithm of 3673 minus 2751 times x plus 1103 equals -4469. |
\frac{\log{\left(8102 - 539 x \right)}}{\log{\left(3 \right)}} - 6118 = -3603 | x \in \left\{- \frac{13027394954123041923949828546504610335000504838997207628233058481700952816900277816425534662414526818547516385213761369959553660460936934073316784754492230902862147415898531693137014899212061763148882520653000381943058891774354164524261632018357872851700219558274761109136176512745419517888077053056... | Solve for x: logarithm of 3 to the power of -1 times logarithm of 8102 minus 539 times x minus 6118 equals -3603. |
9469 x^{5} + 13256600 x^{4} - 147561780699 x^{3} - 154493111292034 x^{2} + 68033987355799432 x + 65140664965108220302 = 1486 | x \in \left\{-4136, -1067, -618, 673, 3748\right\} | Solve for x: 9469 times x to the power of 5 plus 13256600 times x to the power of 4 minus 147561780699 times x cubed minus 154493111292034 times x squared plus 68033987355799432 times x plus 65140664965108220302 equals 1486. |
\left|{6500 x + 6739}\right| + 8727 = 14762 | x \in \left\{- \frac{6387}{3250}, - \frac{176}{1625}\right\} | Solve for x: Abs(6500*x + 6739) plus 8727 equals 14762. |
\tan{\left(2 x + 3150 \right)} + 8499 = 8498 | x \in \left\{\frac{n \pi}{2} - 1575 + \frac{4011 \pi}{8}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 2 times x plus 3150 plus 8499 equals 8498. |
1417 x^{4} + 6285812 x^{3} - 159875100905 x^{2} - 432831217539084 x + 3904247458265792379 = 5019 | x \in \left\{-9864, -7483, 4371, 8540\right\} | Solve for x: 1417 times x to the power of 4 plus 6285812 times x cubed minus 159875100905 times x squared minus 432831217539084 times x plus 3904247458265792379 equals 5019. |
\sin{\left(3 x + 7295 \right)} + 1651 = \frac{3301}{2} | x \in \left\{\frac{2 n \pi}{3} - \frac{7295}{3} + \frac{13939 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{7295}{3} + \frac{13943 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 3 times x plus 7295 plus 1651 equals 3301 over 2. |
4703 x^{3} - 28566022 x^{2} - 270024367535 x + 1508155149626808 = 5954 | x \in \left\{-7439, 5162, 8351\right\} | Solve for x: 4703 times x cubed minus 28566022 times x squared minus 270024367535 times x plus 1508155149626808 equals 5954. |
- 1351 x^{4} + 15042034 x^{3} - 4957417493 x^{2} - 144433193562910 x + 116082057274027643 = -1357 | x \in \left\{-2975, 836, 3555, 9718\right\} | Solve for x: -1351 times x to the power of 4 plus 15042034 times x cubed minus 4957417493 times x squared minus 144433193562910 times x plus 116082057274027643 equals -1357. |
970 x^{3} + 18995510 x^{2} + 104493418780 x + 109881648380117 = 4277 | x \in \left\{-9481, -8734, -1368\right\} | Solve for x: 970 times x cubed plus 18995510 times x squared plus 104493418780 times x plus 109881648380117 equals 4277. |
\cos{\left(2 x - 5495 \right)} - 2886 = - \frac{5773}{2} | x \in \left\{n \pi - \frac{2623 \pi}{3} + \frac{5495}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{2621 \pi}{3} + \frac{5495}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x minus 5495 minus 2886 equals -5773 over 2. |
2050 x^{4} - 19208500 x^{3} - 43353467650 x^{2} + 605235067560100 x - 955620524471885197 = 803 | x \in \left\{-5740, 2158, 4401, 8551\right\} | Solve for x: 2050 times x to the power of 4 minus 19208500 times x cubed minus 43353467650 times x squared plus 605235067560100 times x minus 955620524471885197 equals 803. |
7243 x^{2} + 30022235 x - 121253084158 = -5740 | x \in \left\{-6659, 2514\right\} | Solve for x: 7243 times x squared plus 30022235 times x minus 121253084158 equals -5740. |
\sqrt{- 9664 x - 6190} + 640 = 4853 | x \in \left\{- \frac{17755559}{9664}\right\} | Solve for x: -9664 times x minus 6190 to the power of 1 over 2 plus 640 equals 4853. |
\log{\left(e^{- 3895 x - 2410} + 2493 \right)} - 4822 = -4822 + \log{\left(10362 \right)} | x \in \left\{- \frac{482}{779} - \frac{\log{\left(7869 \right)}}{3895}\right\} | Solve for x: logarithm of exponential of -3895 times x minus 2410 plus 2493 minus 4822 equals -4822 plus logarithm of 10362. |
10^{6414 x - 2884} + 3418 = \frac{3418000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... | x \in \left\{- \frac{6113}{6414}\right\} | Solve for x: 10 to the power of 6414 times x minus 2884 plus 3418 equals 3418000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... |
\left|{4216 x - 9163}\right| + 2578 = 10837 | x \in \left\{\frac{113}{527}, \frac{281}{68}\right\} | Solve for x: Abs(4216*x - 9163) plus 2578 equals 10837. |
6248 x^{4} + 34963808 x^{3} - 58804632744 x^{2} - 484546773873888 x - 424197062865003509 = -4085 | x \in \left\{-4812, -3429, -1099, 3744\right\} | Solve for x: 6248 times x to the power of 4 plus 34963808 times x cubed minus 58804632744 times x squared minus 484546773873888 times x minus 424197062865003509 equals -4085. |
15327 - 7145 x = 13775 | x \in \left\{\frac{1552}{7145}\right\} | Solve for x: 15327 minus 7145 times x equals 13775. |
8339 x^{2} - 53828245 x + 70857709010 = 8516 | x \in \left\{1842, 4613\right\} | Solve for x: 8339 times x squared minus 53828245 times x plus 70857709010 equals 8516. |
3^{2362 x - 6194} - 7432 = - \frac{477163431374387956227286294965843774373552354085815791707065277033727096402262696977281292749463269261401896708161883395496236652885356015041250973870791003147648844030608490033511112128516585775501354703877670607121462261167238790159367355539704675700105314311938785261640273644893827... | x \in \left\{\frac{2973}{2362}\right\} | Solve for x: 3 to the power of 2362 times x minus 6194 minus 7432 equals -477163431374387956227286294965843774373552354085815791707065277033727096402262696977281292749463269261401896708161883395496236652885356015041250973870791003147648844030608490033511112128516585775501354703877670607121462261167238790159367355539704... |
- 6155 x - 9175 = 182 | x \in \left\{- \frac{9357}{6155}\right\} | Solve for x: -6155 times x minus 9175 equals 182. |
\sin{\left(4 x - 9051 \right)} - 8780 = - \frac{17561}{2} | x \in \left\{\frac{n \pi}{2} - \frac{17285 \pi}{24} + \frac{9051}{4}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - \frac{17281 \pi}{24} + \frac{9051}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 4 times x minus 9051 minus 8780 equals -17561 over 2. |
9597 x^{2} - 70749084 x + 107095146472 = -3032 | x \in \left\{2128, 5244\right\} | Solve for x: 9597 times x squared minus 70749084 times x plus 107095146472 equals -3032. |
- 3590 x^{3} + 1723200 x^{2} + 188305634570 x - 17524440334413 = -4233 | x \in \left\{-7054, 93, 7441\right\} | Solve for x: -3590 times x cubed plus 1723200 times x squared plus 188305634570 times x minus 17524440334413 equals -4233. |
9192 x + 8168 = 4415 | x \in \left\{- \frac{1251}{3064}\right\} | Solve for x: 9192 times x plus 8168 equals 4415. |
- 6145 x^{2} + 55286565 x - 20778525265 = 5675 | x \in \left\{393, 8604\right\} | Solve for x: -6145 times x squared plus 55286565 times x minus 20778525265 equals 5675. |
\left|{579 x - 3949}\right| - 8292 = -5947 | x \in \left\{\frac{1604}{579}, \frac{2098}{193}\right\} | Solve for x: Abs(579*x - 3949) minus 8292 equals -5947. |
\sqrt{3635 x + 7700} - 6886 = 704 | x \in \left\{\frac{11520080}{727}\right\} | Solve for x: 3635 times x plus 7700 to the power of 1 over 2 minus 6886 equals 704. |
\left|{7186 x - 4698}\right| + 8947 = 15366 | x \in \left\{- \frac{1721}{7186}, \frac{11117}{7186}\right\} | Solve for x: Abs(7186*x - 4698) plus 8947 equals 15366. |
- 1769 x^{4} - 24705854 x^{3} - 86953926627 x^{2} - 71845173573310 x + 47557703811036507 = -5093 | x \in \left\{-9082, -2720, -2585, 421\right\} | Solve for x: -1769 times x to the power of 4 minus 24705854 times x cubed minus 86953926627 times x squared minus 71845173573310 times x plus 47557703811036507 equals -5093. |
\frac{\log{\left(6003 - 2524 x \right)}}{\log{\left(3 \right)}} - 2853 = -12434 | x \in \left\{\frac{2985725113756683970647192166517566407097175884639182035685879622431365367364428063746701656804648472634229568529080872714215270740092367339255327214869189549388194598807947711846717775782485164759006039133231409910885025761348427477097522233046706094373242787425753213708142515102452262190549883999106... | Solve for x: logarithm of 3 to the power of -1 times logarithm of 6003 minus 2524 times x minus 2853 equals -12434. |
2318 x^{4} - 27871632 x^{3} + 25220347642 x^{2} + 362985188323848 x - 687276589751916817 = 5999 | x \in \left\{-3583, 2256, 3868, 9483\right\} | Solve for x: 2318 times x to the power of 4 minus 27871632 times x cubed plus 25220347642 times x squared plus 362985188323848 times x minus 687276589751916817 equals 5999. |
\sin{\left(x - 8582 \right)} - 2282 = -2283 | x \in \left\{2 n \pi - \frac{5461 \pi}{2} + 8582\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of x minus 8582 minus 2282 equals -2283. |
7622 x - 4117 = 5668 | x \in \left\{\frac{95}{74}\right\} | Solve for x: 7622 times x minus 4117 equals 5668. |
\log{\left(2202 x + 8996 \right)} - 8867 = -8867 + \log{\left(4358 \right)} | x \in \left\{- \frac{773}{367}\right\} | Solve for x: logarithm of 2202 times x plus 8996 minus 8867 equals -8867 plus logarithm of 4358. |
7794 x^{3} - 13436856 x^{2} - 429323659398 x + 1506630579706228 = -8312 | x \in \left\{-8070, 4733, 5061\right\} | Solve for x: 7794 times x cubed minus 13436856 times x squared minus 429323659398 times x plus 1506630579706228 equals -8312. |
- 5927 x^{2} - 55885683 x - 127668158253 = 2593 | x \in \left\{-5543, -3886\right\} | Solve for x: -5927 times x squared minus 55885683 times x minus 127668158253 equals 2593. |
- 1619 x^{4} - 13209421 x^{3} + 41304525411 x^{2} + 140903145337189 x - 111297551321466248 = -3808 | x \in \left\{-9784, -2767, 685, 3707\right\} | Solve for x: -1619 times x to the power of 4 minus 13209421 times x cubed plus 41304525411 times x squared plus 140903145337189 times x minus 111297551321466248 equals -3808. |
-4209 + \frac{9457 x - 2588}{5267 x + 7111} = - \frac{25707}{4} | x \in \left\{- \frac{63071329}{46761385}\right\} | Solve for x: -4209 plus 5267 times x plus 7111 to the power of -1 times 9457 times x minus 2588 equals -25707 over 4. |
\sqrt{700 x + 1674} - 4892 = 920 | x \in \left\{\frac{3377767}{70}\right\} | Solve for x: 700 times x plus 1674 to the power of 1 over 2 minus 4892 equals 920. |
7041 + \frac{1}{4270 x + 1991} = \frac{13202}{3} | x \in \left\{- \frac{7885357}{16911335}\right\} | Solve for x: 7041 plus 4270 times x plus 1991 to the power of -1 equals 13202 over 3. |
\log{\left(- 5262 x - 4626 \right)} + 7633 = \log{\left(1307 \right)} + 7633 | x \in \left\{- \frac{5933}{5262}\right\} | Solve for x: logarithm of -5262 times x minus 4626 plus 7633 equals logarithm of 1307 plus 7633. |
\sqrt{- 3365 x - 9872} + 25 = 345 | x \in \left\{- \frac{112272}{3365}\right\} | Solve for x: -3365 times x minus 9872 to the power of 1 over 2 plus 25 equals 345. |
- 3861 x^{3} + 33328152 x^{2} + 3850996149 x - 376039756151003 = 9637 | x \in \left\{-2944, 5141, 6435\right\} | Solve for x: -3861 times x cubed plus 33328152 times x squared plus 3850996149 times x minus 376039756151003 equals 9637. |
4000 x^{3} + 61764000 x^{2} + 234524432000 x - 14294680326957 = -6957 | x \in \left\{-8464, -7037, 60\right\} | Solve for x: 4000 times x cubed plus 61764000 times x squared plus 234524432000 times x minus 14294680326957 equals -6957. |
\log{\left(1636 - 2995 x \right)} + 8639 = \log{\left(375 \right)} + 8639 | x \in \left\{\frac{1261}{2995}\right\} | Solve for x: logarithm of 1636 minus 2995 times x plus 8639 equals logarithm of 375 plus 8639. |
\sin{\left(3 x + 6416 \right)} - 3239 = - \frac{6479}{2} | x \in \left\{\frac{2 n \pi}{3} - \frac{6416}{3} + \frac{12259 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{6416}{3} + \frac{12263 \pi}{18}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 3 times x plus 6416 minus 3239 equals -6479 over 2. |
5081 x^{3} - 64792912 x^{2} + 160791313924 x + 236192349669617 = -4895 | x \in \left\{-1018, 5566, 8204\right\} | Solve for x: 5081 times x cubed minus 64792912 times x squared plus 160791313924 times x plus 236192349669617 equals -4895. |
\tan{\left(x - 2767 \right)} + 4204 = 4205 | x \in \left\{n \pi - \frac{3523 \pi}{4} + 2767\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of x minus 2767 plus 4204 equals 4205. |
\left|{669 x - 3607}\right| + 5800 = 10544 | x \in \left\{- \frac{379}{223}, \frac{8351}{669}\right\} | Solve for x: Abs(669*x - 3607) plus 5800 equals 10544. |
e^{- 2128 x - 6261} - 81 = 5262 | x \in \left\{- \frac{6261}{2128} - \frac{\log{\left(5343 \right)}}{2128}\right\} | Solve for x: exponential of -2128 times x minus 6261 minus 81 equals 5262. |
3720 x^{4} - 33442800 x^{3} - 11946032280 x^{2} + 744240102489600 x - 1584030863559935384 = 616 | x \in \left\{-4720, 3517, 4528, 5665\right\} | Solve for x: 3720 times x to the power of 4 minus 33442800 times x cubed minus 11946032280 times x squared plus 744240102489600 times x minus 1584030863559935384 equals 616. |
10^{7848 x + 1851} + 2542 = \frac{2542000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... | x \in \left\{- \frac{1459}{1308}\right\} | Solve for x: 10 to the power of 7848 times x plus 1851 plus 2542 equals 25420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... |
\log{\left(7609 x + 8341 \right)} + 930 = -4826 | x \in \left\{- \frac{8341}{7609} + \frac{1}{7609 e^{5756}}\right\} | Solve for x: logarithm of 7609 times x plus 8341 plus 930 equals -4826. |
\left|{1684 x + 1770}\right| + 3460 = 12086 | x \in \left\{- \frac{2599}{421}, \frac{1714}{421}\right\} | Solve for x: Abs(1684*x + 1770) plus 3460 equals 12086. |
- 1217 x^{2} + 517225 x + 42043567032 = 6770 | x \in \left\{-5669, 6094\right\} | Solve for x: -1217 times x squared plus 517225 times x plus 42043567032 equals 6770. |
\log{\left(e^{7978 - 1771 x} + 4756 \right)} - 2233 = -2233 + \log{\left(14477 \right)} | x \in \left\{\frac{7978}{1771} - \frac{\log{\left(9721 \right)}}{1771}\right\} | Solve for x: logarithm of exponential of 7978 minus 1771 times x plus 4756 minus 2233 equals -2233 plus logarithm of 14477. |
- 8937 x^{2} + 66053367 x - 63411935465 = -6059 | x \in \left\{1134, 6257\right\} | Solve for x: -8937 times x squared plus 66053367 times x minus 63411935465 equals -6059. |
e^{7986 x + 7550} + 3210 = 12622 | x \in \left\{- \frac{3775}{3993} + \frac{\log{\left(9412 \right)}}{7986}\right\} | Solve for x: exponential of 7986 times x plus 7550 plus 3210 equals 12622. |
\left(9637 x + 4752\right)^{4} - 7295 = 59299625383330 | x \in \left\{- \frac{7527}{9637}, - \frac{1977}{9637}\right\} | Solve for x: 9637 times x plus 4752 to the power of 4 minus 7295 equals 59299625383330. |
- 1339 x - 258 = 16023 | x \in \left\{- \frac{16281}{1339}\right\} | Solve for x: -1339 times x minus 258 equals 16023. |
e^{8572 x - 9644} + 10048 = 13155 | x \in \left\{\frac{\log{\left(3107 \right)}}{8572} + \frac{2411}{2143}\right\} | Solve for x: exponential of 8572 times x minus 9644 plus 10048 equals 13155. |
5457 + \frac{4949 x - 1828}{86 x - 4258} = \frac{10249}{2} | x \in \left\{\frac{1417613}{33544}\right\} | Solve for x: 5457 plus 86 times x minus 4258 to the power of -1 times 4949 times x minus 1828 equals 10249 over 2. |
e^{9210 - 5032 x} + 13026 = 15371 | x \in \left\{\frac{4605}{2516} - \frac{\log{\left(2345 \right)}}{5032}\right\} | Solve for x: exponential of 9210 minus 5032 times x plus 13026 equals 15371. |
- 5406 x^{2} - 48881052 x - 38434708172 = 5668 | x \in \left\{-8172, -870\right\} | Solve for x: -5406 times x squared minus 48881052 times x minus 38434708172 equals 5668. |
\tan{\left(x + 7660 \right)} + 7957 = 7957 | x \in \left\{n \pi - 7660 + 2439 \pi\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of x plus 7660 plus 7957 equals 7957. |
508 x^{5} - 6231636 x^{4} + 643194548 x^{3} + 104744805855156 x^{2} + 199838884973829984 x + 99151768284920735149 = -6371 | x \in \left\{-1822, -1755, -879, 7674, 9049\right\} | Solve for x: 508 times x to the power of 5 minus 6231636 times x to the power of 4 plus 643194548 times x cubed plus 104744805855156 times x squared plus 199838884973829984 times x plus 99151768284920735149 equals -6371. |
2964 x - 7382 = 1336 | x \in \left\{\frac{1453}{494}\right\} | Solve for x: 2964 times x minus 7382 equals 1336. |
760 x^{5} + 3534760 x^{4} - 91117630440 x^{3} - 363314981039080 x^{2} + 2501826190999874480 x + 10206664711419319245847 = -4073 | x \in \left\{-9886, -5459, -4397, 6963, 8128\right\} | Solve for x: 760 times x to the power of 5 plus 3534760 times x to the power of 4 minus 91117630440 times x cubed minus 363314981039080 times x squared plus 2501826190999874480 times x plus 10206664711419319245847 equals -4073. |
\log{\left(e^{1409 - 3425 x} + 6027 \right)} - 6449 = -6449 + \log{\left(8067 \right)} | x \in \left\{\frac{1409}{3425} - \frac{\log{\left(2040 \right)}}{3425}\right\} | Solve for x: logarithm of exponential of 1409 minus 3425 times x plus 6027 minus 6449 equals -6449 plus logarithm of 8067. |
\log{\left(e^{8023 x + 5124} + 653 \right)} + 8044 = \log{\left(3304 \right)} + 8044 | x \in \left\{- \frac{5124}{8023} + \frac{\log{\left(2651 \right)}}{8023}\right\} | Solve for x: logarithm of exponential of 8023 times x plus 5124 plus 653 plus 8044 equals logarithm of 3304 plus 8044. |
\log{\left(e^{2882 - 6634 x} + 9737 \right)} - 8658 = -8658 + \log{\left(13573 \right)} | x \in \left\{\frac{1441}{3317} - \frac{\log{\left(3836 \right)}}{6634}\right\} | Solve for x: logarithm of exponential of 2882 minus 6634 times x plus 9737 minus 8658 equals -8658 plus logarithm of 13573. |
\frac{\log{\left(3622 - 1313 x \right)}}{\log{\left(5 \right)}} + 6147 = 5926 | x \in \left\{\frac{8267535186332209390227904687584954041487581309945057852852250751630448993123919715869701146845206745080996655452674583382137558811127046982829387371356670673}{2997038569755436479671242091330492726800992341236295129982055559605405722797268522069828162840352417529361846661888936493856050446993322111666... | Solve for x: logarithm of 5 to the power of -1 times logarithm of 3622 minus 1313 times x plus 6147 equals 5926. |
\log{\left(6436 - 8668 x \right)} + 3229 = -3721 | x \in \left\{\frac{1609}{2167} - \frac{1}{8668 e^{6950}}\right\} | Solve for x: logarithm of 6436 minus 8668 times x plus 3229 equals -3721. |
899 x^{3} - 2563948 x^{2} - 38860277385 x + 113104831359207 = 9957 | x \in \left\{-6595, 2925, 6522\right\} | Solve for x: 899 times x cubed minus 2563948 times x squared minus 38860277385 times x plus 113104831359207 equals 9957. |
\frac{6210 - 2934 x}{9901 x - 9929} - 2734 = -6094 | x \in \left\{\frac{5559205}{5544071}\right\} | Solve for x: 9901 times x minus 9929 to the power of -1 times 6210 minus 2934 times x minus 2734 equals -6094. |
4820 x^{4} - 59695700 x^{3} - 130262423180 x^{2} + 3265028642024900 x - 6942218076341003976 = -8976 | x \in \left\{-7367, 2697, 8050, 9005\right\} | Solve for x: 4820 times x to the power of 4 minus 59695700 times x cubed minus 130262423180 times x squared plus 3265028642024900 times x minus 6942218076341003976 equals -8976. |
\sqrt{3384 x + 193} - 6386 = -4099 | x \in \left\{\frac{217924}{141}\right\} | Solve for x: 3384 times x plus 193 to the power of 1 over 2 minus 6386 equals -4099. |
\left(294 x - 2132\right)^{2} + 6774 = 81493503 | x \in \left\{- \frac{985}{42}, \frac{11159}{294}\right\} | Solve for x: 294 times x minus 2132 squared plus 6774 equals 81493503. |
\sqrt{6713 x - 7381} - 3307 = 3281 | x \in \left\{\frac{43409125}{6713}\right\} | Solve for x: 6713 times x minus 7381 to the power of 1 over 2 minus 3307 equals 3281. |
\log{\left(e^{6623 - 4007 x} + 3889 \right)} - 303 = -303 + \log{\left(8238 \right)} | x \in \left\{\frac{6623}{4007} - \frac{\log{\left(4349 \right)}}{4007}\right\} | Solve for x: logarithm of exponential of 6623 minus 4007 times x plus 3889 minus 303 equals -303 plus logarithm of 8238. |
\sin{\left(3 x - 3539 \right)} - 6487 = -6487 | x \in \left\{\frac{2 n \pi}{3} - \frac{1126 \pi}{3} + \frac{3539}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - 375 \pi + \frac{3539}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 3 times x minus 3539 minus 6487 equals -6487. |
\log{\left(- 4833 x - 5724 \right)} - 6481 = -13262 | x \in \left\{- \frac{212}{179} - \frac{1}{4833 e^{6781}}\right\} | Solve for x: logarithm of -4833 times x minus 5724 minus 6481 equals -13262. |
\log{\left(e^{5812 x - 2513} + 4470 \right)} + 4030 = \log{\left(11968 \right)} + 4030 | x \in \left\{\frac{\log{\left(7498 \right)}}{5812} + \frac{2513}{5812}\right\} | Solve for x: logarithm of exponential of 5812 times x minus 2513 plus 4470 plus 4030 equals logarithm of 11968 plus 4030. |
-8100 + \frac{- 434 x - 5898}{2263 - 3096 x} = - \frac{22162}{3} | x \in \left\{\frac{2427994}{3308973}\right\} | Solve for x: -8100 plus 2263 minus 3096 times x to the power of -1 times -434 times x minus 5898 equals -22162 over 3. |
-5198 + \frac{1}{5169 x + 7053} = -13275 | x \in \left\{- \frac{56967082}{41750013}\right\} | Solve for x: -5198 plus 5169 times x plus 7053 to the power of -1 equals -13275. |
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