problem_latex string | solution_latex string | problem_english string |
|---|---|---|
3375 - 689 x = 11468 | x \in \left\{- \frac{8093}{689}\right\} | Solve for x: 3375 minus 689 times x equals 11468. |
\sqrt{9382 x + 5669} - 7425 = -4388 | x \in \left\{\frac{4608850}{4691}\right\} | Solve for x: 9382 times x plus 5669 to the power of 1 over 2 minus 7425 equals -4388. |
\tan{\left(4 x - 8265 \right)} + 6843 = 6844 | x \in \left\{\frac{n \pi}{4} - \frac{10523 \pi}{16} + \frac{8265}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 4 times x minus 8265 plus 6843 equals 6844. |
-1550 + \frac{5881 x - 5197}{968 - 6285 x} = \frac{3544}{3} | x \in \left\{\frac{7947383}{51516933}\right\} | Solve for x: -1550 plus 968 minus 6285 times x to the power of -1 times 5881 times x minus 5197 equals 3544 over 3. |
\frac{\log{\left(8411 - 2746 x \right)}}{\log{\left(2 \right)}} + 9978 = 9296 | x \in \left\{\frac{168773662826245764043441642398470925163055069280798779801330721571773933982058512858574101397059617856102576259801158863770318773865875146075317573684512976947682900611348524152336440534839776515841856156729343}{55100758307082495311293633340411504042057926553926221535424344481760934813307891607376588... | Solve for x: logarithm of 2 to the power of -1 times logarithm of 8411 minus 2746 times x plus 9978 equals 9296. |
\cos{\left(x + 621 \right)} - 5493 = - \frac{10985}{2} | x \in \left\{2 n \pi - 621 + \frac{595 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi - 621 + \frac{599 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of x plus 621 minus 5493 equals -10985 over 2. |
\log{\left(e^{9798 - 8319 x} + 6665 \right)} + 9062 = \log{\left(15822 \right)} + 9062 | x \in \left\{\frac{3266}{2773} - \frac{\log{\left(9157 \right)}}{8319}\right\} | Solve for x: logarithm of exponential of 9798 minus 8319 times x plus 6665 plus 9062 equals logarithm of 15822 plus 9062. |
\sqrt{4356 - 7557 x} + 4606 = 10530 | x \in \left\{- \frac{35089420}{7557}\right\} | Solve for x: 4356 minus 7557 times x to the power of 1 over 2 plus 4606 equals 10530. |
e^{9428 x + 3491} + 9286 = 9513 | x \in \left\{- \frac{3491}{9428} + \frac{\log{\left(227 \right)}}{9428}\right\} | Solve for x: exponential of 9428 times x plus 3491 plus 9286 equals 9513. |
3898 x^{5} + 3695304 x^{4} - 86488898062 x^{3} - 19183555525844 x^{2} + 261684289492205784 x + 69070846507738226491 = 4331 | x \in \left\{-4789, -1786, -265, 2018, 3874\right\} | Solve for x: 3898 times x to the power of 5 plus 3695304 times x to the power of 4 minus 86488898062 times x cubed minus 19183555525844 times x squared plus 261684289492205784 times x plus 69070846507738226491 equals 4331. |
\left|{5867 x + 6299}\right| + 1018 = 4211 | x \in \left\{- \frac{9492}{5867}, - \frac{3106}{5867}\right\} | Solve for x: Abs(5867*x + 6299) plus 1018 equals 4211. |
- 5721 x^{2} + 9651327 x + 36882180716 = -7852 | x \in \left\{-1832, 3519\right\} | Solve for x: -5721 times x squared plus 9651327 times x plus 36882180716 equals -7852. |
\log{\left(e^{- 1535 x - 1546} + 4323 \right)} - 9493 = -9493 + \log{\left(5449 \right)} | x \in \left\{- \frac{1546}{1535} - \frac{\log{\left(1126 \right)}}{1535}\right\} | Solve for x: logarithm of exponential of -1535 times x minus 1546 plus 4323 minus 9493 equals -9493 plus logarithm of 5449. |
\log{\left(e^{3310 - 7942 x} + 4637 \right)} + 1263 = \log{\left(10517 \right)} + 1263 | x \in \left\{\frac{1655}{3971} - \frac{\log{\left(5880 \right)}}{7942}\right\} | Solve for x: logarithm of exponential of 3310 minus 7942 times x plus 4637 plus 1263 equals logarithm of 10517 plus 1263. |
5321 x^{2} - 20757221 x - 195293531104 = -7494 | x \in \left\{-4414, 8315\right\} | Solve for x: 5321 times x squared minus 20757221 times x minus 195293531104 equals -7494. |
e^{2639 x - 3511} + 15987 = 19267 | x \in \left\{\frac{\log{\left(3280 \right)}}{2639} + \frac{3511}{2639}\right\} | Solve for x: exponential of 2639 times x minus 3511 plus 15987 equals 19267. |
\left|{4598 x - 4970}\right| - 8665 = 510 | x \in \left\{- \frac{4205}{4598}, \frac{14145}{4598}\right\} | Solve for x: Abs(4598*x - 4970) minus 8665 equals 510. |
\log{\left(- 4175 x - 3364 \right)} + 3779 = \log{\left(5082 \right)} + 3779 | x \in \left\{- \frac{8446}{4175}\right\} | Solve for x: logarithm of -4175 times x minus 3364 plus 3779 equals logarithm of 5082 plus 3779. |
e^{2108 x + 4396} + 8407 = 11186 | x \in \left\{- \frac{1099}{527} + \frac{\log{\left(2779 \right)}}{2108}\right\} | Solve for x: exponential of 2108 times x plus 4396 plus 8407 equals 11186. |
3996 x^{2} - 1838160 x - 262030904088 = 6708 | x \in \left\{-7871, 8331\right\} | Solve for x: 3996 times x squared minus 1838160 times x minus 262030904088 equals 6708. |
- 1188 x^{5} - 8805456 x^{4} + 17898668172 x^{3} + 217126372005576 x^{2} + 452634698289460896 x + 285913530918093832853 = 2453 | x \in \left\{-6759, -2628, -1775, -1464, 5214\right\} | Solve for x: -1188 times x to the power of 5 minus 8805456 times x to the power of 4 plus 17898668172 times x cubed plus 217126372005576 times x squared plus 452634698289460896 times x plus 285913530918093832853 equals 2453. |
\left(2914 x - 2234\right)^{2} + 6269 = 20490945 | x \in \left\{- \frac{1146}{1457}, \frac{3380}{1457}\right\} | Solve for x: 2914 times x minus 2234 squared plus 6269 equals 20490945. |
\frac{\log{\left(831 x - 3294 \right)}}{\log{\left(3 \right)}} - 2253 = -325 | x \in \left\{\frac{2586174616674440994523051324856240764447584587038011281564053310985461806054640872146064293232642211290994026456057134537444458969321553363643912906636609890961640872356774812309308423984269585881573742737348508959919049426300952979602015116051031554566105648969060675935556122574341942859308616329037... | Solve for x: logarithm of 3 to the power of -1 times logarithm of 831 times x minus 3294 minus 2253 equals -325. |
\sqrt{4568 - 3464 x} + 2107 = 4705 | x \in \left\{- \frac{1686259}{866}\right\} | Solve for x: 4568 minus 3464 times x to the power of 1 over 2 plus 2107 equals 4705. |
\cos{\left(4 x + 1763 \right)} - 7191 = - \frac{14381}{2} | x \in \left\{\frac{n \pi}{2} - \frac{1763}{4} + \frac{1685 \pi}{12}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - \frac{1763}{4} + \frac{1687 \pi}{12}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 4 times x plus 1763 minus 7191 equals -14381 over 2. |
\frac{\log{\left(7091 - 1955 x \right)}}{\log{\left(5 \right)}} + 5789 = 9845 | x \in \left\{- \frac{10527799054010048801820483432410465106120446581071558500127108233478857073717144960879149885142771284363440838440873023590964912000512724220874380822320429397597984999919346256774634833396185246732117080794977651320923461402914898453969613695120476444952845961969803396959795434587064203020590871971... | Solve for x: logarithm of 5 to the power of -1 times logarithm of 7091 minus 1955 times x plus 5789 equals 9845. |
\left(- 4246 x - 5774\right)^{2} - 3084 = 66370525 | x \in \left\{- \frac{13921}{4246}, \frac{2373}{4246}\right\} | Solve for x: -4246 times x minus 5774 squared minus 3084 equals 66370525. |
7422 x - 11203 = -10130 | x \in \left\{\frac{1073}{7422}\right\} | Solve for x: 7422 times x minus 11203 equals -10130. |
\cos{\left(2 x - 1928 \right)} + 1011 = 1010 | x \in \left\{n \pi - \frac{613 \pi}{2} + 964\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x minus 1928 plus 1011 equals 1010. |
-9192 + \frac{1}{8462 x - 5324} = - \frac{28341}{4} | x \in \left\{\frac{22432676}{35654637}\right\} | Solve for x: -9192 plus 8462 times x minus 5324 to the power of -1 equals -28341 over 4. |
3858 + \frac{1}{8600 x + 2640} = 12757 | x \in \left\{- \frac{23493359}{76531400}\right\} | Solve for x: 3858 plus 8600 times x plus 2640 to the power of -1 equals 12757. |
\sin{\left(x - 9111 \right)} - 2573 = -2572 | x \in \left\{2 n \pi - \frac{5799 \pi}{2} + 9111\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of x minus 9111 minus 2573 equals -2572. |
\frac{2068 x - 3016}{5198 x + 1103} + 6164 = 2683 | x \in \left\{- \frac{3836527}{18096306}\right\} | Solve for x: 5198 times x plus 1103 to the power of -1 times 2068 times x minus 3016 plus 6164 equals 2683. |
4697 x^{2} - 12306140 x - 56415313726 = 999 | x \in \left\{-2395, 5015\right\} | Solve for x: 4697 times x squared minus 12306140 times x minus 56415313726 equals 999. |
\cos{\left(2 x + 9766 \right)} + 2482 = 2482 | x \in \left\{n \pi - 4883 + \frac{6219 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - 4883 + \frac{6221 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x plus 9766 plus 2482 equals 2482. |
8980 x^{3} + 196877520 x^{2} + 1345846096940 x + 2711094319562406 = 3606 | x \in \left\{-9261, -9068, -3595\right\} | Solve for x: 8980 times x cubed plus 196877520 times x squared plus 1345846096940 times x plus 2711094319562406 equals 3606. |
e^{5804 x - 1432} + 12667 = 13018 | x \in \left\{\frac{\log{\left(351 \right)}}{5804} + \frac{358}{1451}\right\} | Solve for x: exponential of 5804 times x minus 1432 plus 12667 equals 13018. |
6194 x^{3} + 117351524 x^{2} + 705541494112 x + 1333531502787586 = 7746 | x \in \left\{-8684, -6370, -3892\right\} | Solve for x: 6194 times x cubed plus 117351524 times x squared plus 705541494112 times x plus 1333531502787586 equals 7746. |
3^{7124 x + 7954} + 4676 = 65247371414988018990276994341279851494836047104924043326929412021082844688020681071282333561776890407911544419772224901236971781139172248996921087338351070511244810471217041245083446267661852528569617319670933879189791159914356362277285963343009254934820901294924109280361426797724773268207241... | x \in \left\{- \frac{107}{1781}\right\} | Solve for x: 3 to the power of 7124 times x plus 7954 plus 4676 equals 652473714149880189902769943412798514948360471049240433269294120210828446880206810712823335617768904079115444197722249012369717811391722489969210873383510705112448104712170412450834462676618525285696173196709338791897911599143563622772859633430092549... |
-490 + \frac{8853 x - 5422}{8244 x - 5080} = \frac{8267}{3} | x \in \left\{\frac{49447694}{80245269}\right\} | Solve for x: -490 plus 8244 times x minus 5080 to the power of -1 times 8853 times x minus 5422 equals 8267 over 3. |
\sqrt{3859 x + 8901} + 3025 = 6243 | x \in \left\{\frac{10346623}{3859}\right\} | Solve for x: 3859 times x plus 8901 to the power of 1 over 2 plus 3025 equals 6243. |
\log{\left(1936 x - 4498 \right)} + 8560 = \log{\left(4959 \right)} + 8560 | x \in \left\{\frac{9457}{1936}\right\} | Solve for x: logarithm of 1936 times x minus 4498 plus 8560 equals logarithm of 4959 plus 8560. |
\left|{905 x - 4453}\right| - 9255 = -3335 | x \in \left\{- \frac{1467}{905}, \frac{10373}{905}\right\} | Solve for x: Abs(905*x - 4453) minus 9255 equals -3335. |
\left(7495 - 5282 x\right)^{2} - 3464 = 57923857 | x \in \left\{- \frac{58}{2641}, \frac{7553}{2641}\right\} | Solve for x: 7495 minus 5282 times x squared minus 3464 equals 57923857. |
\frac{\log{\left(- 4493 x - 8116 \right)}}{\log{\left(5 \right)}} - 3115 = -4325 | x \in \left\{- \frac{46030668794395757651883281437303674124581976189571966518728619586621008413797416001791114121232903671135298650655650445424501580746563448674095117642077235479672555989778414061522537179852202665731550642294341411937823517565987290260322096311082756674634211903752818897677587269902230127024811322172... | Solve for x: logarithm of 5 to the power of -1 times logarithm of -4493 times x minus 8116 minus 3115 equals -4325. |
- 8100 x^{5} - 12441600 x^{4} + 140723981100 x^{3} + 128184406043400 x^{2} - 240695546142844800 x - 58186331790225405727 = 2273 | x \in \left\{-4352, -1785, -222, 1127, 3696\right\} | Solve for x: -8100 times x to the power of 5 minus 12441600 times x to the power of 4 plus 140723981100 times x cubed plus 128184406043400 times x squared minus 240695546142844800 times x minus 58186331790225405727 equals 2273. |
\frac{9045 - 3114 x}{2829 x + 4281} + 3769 = \frac{13673}{2} | x \in \left\{- \frac{2916205}{1929127}\right\} | Solve for x: 2829 times x plus 4281 to the power of -1 times 9045 minus 3114 times x plus 3769 equals 13673 over 2. |
\log{\left(- 9529 x - 8707 \right)} - 2421 = -9108 | x \in \left\{- \frac{8707}{9529} - \frac{1}{9529 e^{6687}}\right\} | Solve for x: logarithm of -9529 times x minus 8707 minus 2421 equals -9108. |
\sin{\left(2 x + 6303 \right)} + 7970 = 7969 | x \in \left\{n \pi - \frac{6303}{2} + \frac{4015 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x plus 6303 plus 7970 equals 7969. |
5^{1965 - 2233 x} - 5740 = - \frac{172232262551551530999412485337579039096385497724007740675122651742293870788505171634921807248114944090192378655067572299413392964624657687969697489390022633064942946322350861421145940770816876130513271688966021831645158465583773863300140466399345582728740953264259323279275652227048120... | x \in \left\{\frac{11793}{2233}\right\} | Solve for x: 5 to the power of 1965 minus 2233 times x minus 5740 equals -172232262551551530999412485337579039096385497724007740675122651742293870788505171634921807248114944090192378655067572299413392964624657687969697489390022633064942946322350861421145940770816876130513271688966021831645158465583773863300140466399345... |
- 7952 x^{2} - 58765280 x + 120400684042 = 730 | x \in \left\{-9061, 1671\right\} | Solve for x: -7952 times x squared minus 58765280 times x plus 120400684042 equals 730. |
e^{- 7375 x - 7204} + 8171 = 13401 | x \in \left\{- \frac{7204}{7375} - \frac{\log{\left(5230 \right)}}{7375}\right\} | Solve for x: exponential of -7375 times x minus 7204 plus 8171 equals 13401. |
\log{\left(- 5662 x - 4236 \right)} - 3421 = -3421 + \log{\left(5958 \right)} | x \in \left\{- \frac{5097}{2831}\right\} | Solve for x: logarithm of -5662 times x minus 4236 minus 3421 equals -3421 plus logarithm of 5958. |
- 2851 x^{3} + 49390724 x^{2} - 260844014163 x + 434992079696597 = 8387 | x \in \left\{3870, 4313, 9141\right\} | Solve for x: -2851 times x cubed plus 49390724 times x squared minus 260844014163 times x plus 434992079696597 equals 8387. |
e^{- 6128 x - 7958} + 10540 = 10617 | x \in \left\{- \frac{3979}{3064} - \frac{\log{\left(77 \right)}}{6128}\right\} | Solve for x: exponential of -6128 times x minus 7958 plus 10540 equals 10617. |
- 6587 x^{4} + 25965954 x^{3} + 296070717271 x^{2} - 711951008038830 x - 2929657588874998469 = -2469 | x \in \left\{-5342, -2471, 4955, 6800\right\} | Solve for x: -6587 times x to the power of 4 plus 25965954 times x cubed plus 296070717271 times x squared minus 711951008038830 times x minus 2929657588874998469 equals -2469. |
- 8459 x^{2} + 104333306 x - 306522768240 = 411 | x \in \left\{4827, 7507\right\} | Solve for x: -8459 times x squared plus 104333306 times x minus 306522768240 equals 411. |
239 x^{2} - 2955235 x + 8970913812 = -7592 | x \in \left\{5353, 7012\right\} | Solve for x: 239 times x squared minus 2955235 times x plus 8970913812 equals -7592. |
\tan{\left(3 x + 7795 \right)} - 2801 = -2802 | x \in \left\{\frac{n \pi}{3} - \frac{7795}{3} + \frac{3309 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 3 times x plus 7795 minus 2801 equals -2802. |
e^{- 6061 x - 5678} + 9806 = 14341 | x \in \left\{- \frac{5678}{6061} - \frac{\log{\left(4535 \right)}}{6061}\right\} | Solve for x: exponential of -6061 times x minus 5678 plus 9806 equals 14341. |
\log{\left(e^{3655 x - 378} + 5080 \right)} - 8521 = -8521 + \log{\left(9581 \right)} | x \in \left\{\frac{\log{\left(4501 \right)}}{3655} + \frac{378}{3655}\right\} | Solve for x: logarithm of exponential of 3655 times x minus 378 plus 5080 minus 8521 equals -8521 plus logarithm of 9581. |
e^{- 5829 x - 8668} - 7720 = -3799 | x \in \left\{- \frac{8668}{5829} - \frac{\log{\left(3921 \right)}}{5829}\right\} | Solve for x: exponential of -5829 times x minus 8668 minus 7720 equals -3799. |
\left|{3687 x - 8980}\right| - 6264 = -2215 | x \in \left\{\frac{4931}{3687}, \frac{4343}{1229}\right\} | Solve for x: Abs(3687*x - 8980) minus 6264 equals -2215. |
\log{\left(e^{1173 x - 843} + 8793 \right)} - 5839 = -5839 + \log{\left(11436 \right)} | x \in \left\{\frac{\log{\left(2643 \right)}}{1173} + \frac{281}{391}\right\} | Solve for x: logarithm of exponential of 1173 times x minus 843 plus 8793 minus 5839 equals -5839 plus logarithm of 11436. |
e^{2141 x + 6521} - 9848 = -2703 | x \in \left\{- \frac{6521}{2141} + \frac{\log{\left(7145 \right)}}{2141}\right\} | Solve for x: exponential of 2141 times x plus 6521 minus 9848 equals -2703. |
\sin{\left(4 x - 9323 \right)} + 8273 = \frac{16545}{2} | x \in \left\{\frac{n \pi}{2} - \frac{17801 \pi}{24} + \frac{9323}{4}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - \frac{17797 \pi}{24} + \frac{9323}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 4 times x minus 9323 plus 8273 equals 16545 over 2. |
10^{5502 x - 3622} - 2297 = - \frac{22969999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... | x \in \left\{- \frac{5}{917}\right\} | Solve for x: 10 to the power of 5502 times x minus 3622 minus 2297 equals -22969999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... |
- 6125 x^{5} + 59761625 x^{4} + 101051248375 x^{3} - 1802137367067625 x^{2} + 807909316635331750 x + 7343612359446697870387 = -9613 | x \in \left\{-4901, -1831, 2890, 6752, 6847\right\} | Solve for x: -6125 times x to the power of 5 plus 59761625 times x to the power of 4 plus 101051248375 times x cubed minus 1802137367067625 times x squared plus 807909316635331750 times x plus 7343612359446697870387 equals -9613. |
\cos{\left(3 x - 1264 \right)} - 3766 = -3767 | x \in \left\{\frac{2 n \pi}{3} - \frac{401 \pi}{3} + \frac{1264}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 3 times x minus 1264 minus 3766 equals -3767. |
- 1967 x^{4} + 9164253 x^{3} + 70906919552 x^{2} - 232612385101572 x + 167585808942564036 = 2292 | x \in \left\{-5718, 1278, 1543, 7556\right\} | Solve for x: -1967 times x to the power of 4 plus 9164253 times x cubed plus 70906919552 times x squared minus 232612385101572 times x plus 167585808942564036 equals 2292. |
e^{6742 x - 9233} - 2022 = 5135 | x \in \left\{\frac{\log{\left(7157 \right)}}{6742} + \frac{9233}{6742}\right\} | Solve for x: exponential of 6742 times x minus 9233 minus 2022 equals 5135. |
533 x^{3} - 6195592 x^{2} + 13132712255 x + 12388974923408 = 1604 | x \in \left\{-699, 3991, 8332\right\} | Solve for x: 533 times x cubed minus 6195592 times x squared plus 13132712255 times x plus 12388974923408 equals 1604. |
\sqrt{9989 - 5346 x} - 6932 = 2341 | x \in \left\{- \frac{42989270}{2673}\right\} | Solve for x: 9989 minus 5346 times x to the power of 1 over 2 minus 6932 equals 2341. |
3424 x^{4} + 51880448 x^{3} - 82953929376 x^{2} - 3909618742398912 x - 13071984706298899810 = -8290 | x \in \left\{-9635, -9252, -4938, 8673\right\} | Solve for x: 3424 times x to the power of 4 plus 51880448 times x cubed minus 82953929376 times x squared minus 3909618742398912 times x minus 13071984706298899810 equals -8290. |
\sqrt{- 659 x - 6935} - 1711 = 5856 | x \in \left\{- \frac{57266424}{659}\right\} | Solve for x: -659 times x minus 6935 to the power of 1 over 2 minus 1711 equals 5856. |
\cos{\left(x - 282 \right)} + 7650 = \frac{15301}{2} | x \in \left\{2 n \pi - \frac{269 \pi}{3} + 282\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi - \frac{265 \pi}{3} + 282\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of x minus 282 plus 7650 equals 15301 over 2. |
\sqrt{- 2829 x - 1443} - 321 = 3165 | x \in \left\{- \frac{4051213}{943}\right\} | Solve for x: -2829 times x minus 1443 to the power of 1 over 2 minus 321 equals 3165. |
\cos{\left(2 x - 8513 \right)} - 1199 = -1198 | x \in \left\{n \pi - 1354 \pi + \frac{8513}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x minus 8513 minus 1199 equals -1198. |
\sin{\left(x - 1062 \right)} - 9431 = - \frac{18861}{2} | x \in \left\{2 n \pi - \frac{2027 \pi}{6} + 1062\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi - \frac{2023 \pi}{6} + 1062\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of x minus 1062 minus 9431 equals -18861 over 2. |
\sqrt{- 6892 x - 9798} + 3055 = 3176 | x \in \left\{- \frac{24439}{6892}\right\} | Solve for x: -6892 times x minus 9798 to the power of 1 over 2 plus 3055 equals 3176. |
\sin{\left(x - 7747 \right)} + 8543 = 8544 | x \in \left\{2 n \pi - \frac{4931 \pi}{2} + 7747\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of x minus 7747 plus 8543 equals 8544. |
8339 + \frac{1}{1611 x - 5470} = 8085 | x \in \left\{\frac{1389379}{409194}\right\} | Solve for x: 8339 plus 1611 times x minus 5470 to the power of -1 equals 8085. |
\left|{5381 x + 6594}\right| + 2629 = 11220 | x \in \left\{- \frac{15185}{5381}, \frac{1997}{5381}\right\} | Solve for x: Abs(5381*x + 6594) plus 2629 equals 11220. |
e^{- 6964 x - 3112} + 15726 = 19232 | x \in \left\{- \frac{778}{1741} - \frac{\log{\left(3506 \right)}}{6964}\right\} | Solve for x: exponential of -6964 times x minus 3112 plus 15726 equals 19232. |
5^{1728 - 841 x} + 6922 = 478670900364092809288974837736318602890103349930499374770215634471759834522812601723139264166869776753625235530179697346882223052980668096687666435357015319404305332386867722896949851453815493369635514878276964899635526483499304896197779528632641160686118550360766862739865495219553541424633240... | x \in \left\{- \frac{4505}{841}\right\} | Solve for x: 5 to the power of 1728 minus 841 times x plus 6922 equals 478670900364092809288974837736318602890103349930499374770215634471759834522812601723139264166869776753625235530179697346882223052980668096687666435357015319404305332386867722896949851453815493369635514878276964899635526483499304896197779528632641160... |
- 8850 x^{2} + 26390700 x + 582386845094 = 1544 | x \in \left\{-6757, 9739\right\} | Solve for x: -8850 times x squared plus 26390700 times x plus 582386845094 equals 1544. |
e^{7328 x + 2568} - 123 = 6044 | x \in \left\{- \frac{321}{916} + \frac{\log{\left(6167 \right)}}{7328}\right\} | Solve for x: exponential of 7328 times x plus 2568 minus 123 equals 6044. |
10^{6676 - 2438 x} - 9723 = - \frac{97229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... | x \in \left\{\frac{8569}{2438}\right\} | Solve for x: 10 to the power of 6676 minus 2438 times x minus 9723 equals -97229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... |
e^{- 9358 x - 8851} - 1569 = 4768 | x \in \left\{- \frac{8851}{9358} - \frac{\log{\left(6337 \right)}}{9358}\right\} | Solve for x: exponential of -9358 times x minus 8851 minus 1569 equals 4768. |
\sin{\left(2 x - 421 \right)} - 5783 = -5783 | x \in \left\{n \pi - 67 \pi + \frac{421}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{133 \pi}{2} + \frac{421}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x minus 421 minus 5783 equals -5783. |
\sin{\left(2 x - 1159 \right)} + 3771 = \frac{7541}{2} | x \in \left\{n \pi - \frac{2213 \pi}{12} + \frac{1159}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{2209 \pi}{12} + \frac{1159}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x minus 1159 plus 3771 equals 7541 over 2. |
\left(- 9661 x - 7199\right)^{2} - 1723 = 26737518 | x \in \left\{- \frac{12370}{9661}, - \frac{2028}{9661}\right\} | Solve for x: -9661 times x minus 7199 squared minus 1723 equals 26737518. |
5173 x^{3} - 2379580 x^{2} - 253095605056 x - 380957685289534 = 1474 | x \in \left\{-5792, -1616, 7868\right\} | Solve for x: 5173 times x cubed minus 2379580 times x squared minus 253095605056 times x minus 380957685289534 equals 1474. |
e^{- 8744 x - 1090} - 1168 = 4054 | x \in \left\{- \frac{545}{4372} - \frac{\log{\left(5222 \right)}}{8744}\right\} | Solve for x: exponential of -8744 times x minus 1090 minus 1168 equals 4054. |
\left(- 4469 x - 1323\right)^{4} - 9728 = 562491345600272 | x \in \left\{- \frac{6193}{4469}, \frac{3547}{4469}\right\} | Solve for x: -4469 times x minus 1323 to the power of 4 minus 9728 equals 562491345600272. |
\log{\left(5360 - 5288 x \right)} - 4948 = -4948 + \log{\left(1282 \right)} | x \in \left\{\frac{2039}{2644}\right\} | Solve for x: logarithm of 5360 minus 5288 times x minus 4948 equals -4948 plus logarithm of 1282. |
\left(2923 x + 2652\right)^{2} - 4859 = 39370766 | x \in \left\{- \frac{113}{37}, \frac{3623}{2923}\right\} | Solve for x: 2923 times x plus 2652 squared minus 4859 equals 39370766. |
- 5725 x^{4} - 61686875 x^{3} - 8552377125 x^{2} + 370838304961875 x + 18926854191075252 = -2598 | x \in \left\{-9978, -2949, -51, 2203\right\} | Solve for x: -5725 times x to the power of 4 minus 61686875 times x cubed minus 8552377125 times x squared plus 370838304961875 times x plus 18926854191075252 equals -2598. |
\cos{\left(4 x + 8792 \right)} - 3173 = -3173 | x \in \left\{\frac{n \pi}{2} - 2198 + \frac{5599 \pi}{8}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{n \pi}{2} - 2198 + \frac{5601 \pi}{8}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 4 times x plus 8792 minus 3173 equals -3173. |
\log{\left(7487 x - 1316 \right)} - 3991 = -3991 + \log{\left(2633 \right)} | x \in \left\{\frac{3949}{7487}\right\} | Solve for x: logarithm of 7487 times x minus 1316 minus 3991 equals -3991 plus logarithm of 2633. |
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