problem_latex string | solution_latex string | problem_english string |
|---|---|---|
- 6624 x^{2} - 50170176 x + 23189345068 = -500 | x \in \left\{-8011, 437\right\} | Solve for x: -6624 times x squared minus 50170176 times x plus 23189345068 equals -500. |
- 7954 x - 1693 = 16501 | x \in \left\{- \frac{9097}{3977}\right\} | Solve for x: -7954 times x minus 1693 equals 16501. |
\tan{\left(3 x - 5188 \right)} - 6952 = -6953 | x \in \left\{\frac{n \pi}{3} - \frac{6605 \pi}{12} + \frac{5188}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 3 times x minus 5188 minus 6952 equals -6953. |
1625 x - 11267 = -7123 | x \in \left\{\frac{4144}{1625}\right\} | Solve for x: 1625 times x minus 11267 equals -7123. |
\tan{\left(4 x - 9608 \right)} - 5323 = -5322 | x \in \left\{\frac{n \pi}{4} - \frac{12231 \pi}{16} + 2402\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 4 times x minus 9608 minus 5323 equals -5322. |
\sqrt{- 7768 x - 1547} + 9924 = 14757 | x \in \left\{- \frac{5839859}{1942}\right\} | Solve for x: -7768 times x minus 1547 to the power of 1 over 2 plus 9924 equals 14757. |
\sin{\left(2 x - 8962 \right)} + 6715 = \frac{13429}{2} | x \in \left\{n \pi - \frac{17113 \pi}{12} + 4481\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{17105 \pi}{12} + 4481\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x minus 8962 plus 6715 equals 13429 over 2. |
6845 x^{2} + 85911595 x + 248880894793 = -5917 | x \in \left\{-8014, -4537\right\} | Solve for x: 6845 times x squared plus 85911595 times x plus 248880894793 equals -5917. |
e^{- 9747 x - 5661} + 2962 = 9813 | x \in \left\{- \frac{629}{1083} - \frac{\log{\left(6851 \right)}}{9747}\right\} | Solve for x: exponential of -9747 times x minus 5661 plus 2962 equals 9813. |
2468 + \frac{1}{7019 x - 9912} = 2231 | x \in \left\{\frac{2349143}{1663503}\right\} | Solve for x: 2468 plus 7019 times x minus 9912 to the power of -1 equals 2231. |
\left(963 - 8378 x\right)^{2} - 5994 = 3585031 | x \in \left\{- \frac{466}{4189}, \frac{1429}{4189}\right\} | Solve for x: 963 minus 8378 times x squared minus 5994 equals 3585031. |
\cos{\left(3 x + 8178 \right)} + 4691 = 4690 | x \in \left\{\frac{2 n \pi}{3} - 2726 + \frac{2605 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 3 times x plus 8178 plus 4691 equals 4690. |
\sqrt{249 - 9765 x} - 1606 = 1163 | x \in \left\{- \frac{2555704}{3255}\right\} | Solve for x: 249 minus 9765 times x to the power of 1 over 2 minus 1606 equals 1163. |
\left(5815 x + 2742\right)^{4} - 9225 = 338920735336 | x \in \left\{- \frac{701}{1163}, - \frac{1979}{5815}\right\} | Solve for x: 5815 times x plus 2742 to the power of 4 minus 9225 equals 338920735336. |
5353 x^{2} + 102574186 x + 490616785034 = 5053 | x \in \left\{-9959, -9203\right\} | Solve for x: 5353 times x squared plus 102574186 times x plus 490616785034 equals 5053. |
4803 x - 577 = 3526 | x \in \left\{\frac{4103}{4803}\right\} | Solve for x: 4803 times x minus 577 equals 3526. |
e^{7196 x + 4502} + 2128 = 3506 | x \in \left\{- \frac{2251}{3598} + \frac{\log{\left(1378 \right)}}{7196}\right\} | Solve for x: exponential of 7196 times x plus 4502 plus 2128 equals 3506. |
\tan{\left(4 x + 9173 \right)} - 4574 = -4575 | x \in \left\{\frac{n \pi}{4} - \frac{9173}{4} + \frac{11683 \pi}{16}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 4 times x plus 9173 minus 4574 equals -4575. |
\tan{\left(2 x - 9959 \right)} - 3140 = -3139 | x \in \left\{\frac{n \pi}{2} - \frac{12679 \pi}{8} + \frac{9959}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 2 times x minus 9959 minus 3140 equals -3139. |
\frac{\log{\left(9103 x + 6373 \right)}}{\log{\left(5 \right)}} + 4260 = -476 | x \in \left\{- \frac{13374712456082493083179447038958510747153237762985958690292614475580565482751742883473960656891707736972614632749282605534912883570103736253231615907445160305226430631346501515560000183427637066307799537156611482875646928197544071564716862844680693496126017199548485099459639312365045459243934137132... | Solve for x: logarithm of 5 to the power of -1 times logarithm of 9103 times x plus 6373 plus 4260 equals -476. |
\tan{\left(3 x + 4290 \right)} + 6448 = 6448 | x \in \left\{\frac{n \pi}{3} - 1430 + \frac{1366 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 3 times x plus 4290 plus 6448 equals 6448. |
\sin{\left(3 x - 5366 \right)} + 2611 = 2611 | x \in \left\{\frac{2 n \pi}{3} - \frac{1708 \pi}{3} + \frac{5366}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - 569 \pi + \frac{5366}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 3 times x minus 5366 plus 2611 equals 2611. |
\cos{\left(x - 6007 \right)} + 3548 = \frac{7095}{2} | x \in \left\{2 n \pi - \frac{5734 \pi}{3} + 6007\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi - \frac{5732 \pi}{3} + 6007\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of x minus 6007 plus 3548 equals 7095 over 2. |
2^{4343 x - 788} - 1533 = 165027753110337836858253667720514925347627958726996683020825044367316351323048646194631755611492971197921985029046559422690728708898420193712123348256250695179214447544862549159776301600861120463867901848881436746154592912493862829056071101576492999743084188751720691646435861849364250137276939... | x \in \left\{\frac{10708}{4343}\right\} | Solve for x: 2 to the power of 4343 times x minus 788 minus 1533 equals 16502775311033783685825366772051492534762795872699668302082504436731635132304864619463175561149297119792198502904655942269072870889842019371212334825625069517921444754486254915977630160086112046386790184888143674615459291249386282905607110157649299... |
4799 x - 9954 = -10764 | x \in \left\{- \frac{810}{4799}\right\} | Solve for x: 4799 times x minus 9954 equals -10764. |
1487 + \frac{1}{2024 - 405 x} = \frac{2900}{3} | x \in \left\{\frac{3159467}{632205}\right\} | Solve for x: 1487 plus 2024 minus 405 times x to the power of -1 equals 2900 over 3. |
\sqrt{263 x - 8262} - 6510 = -596 | x \in \left\{\frac{34983658}{263}\right\} | Solve for x: 263 times x minus 8262 to the power of 1 over 2 minus 6510 equals -596. |
11130 - 8966 x = 4858 | x \in \left\{\frac{3136}{4483}\right\} | Solve for x: 11130 minus 8966 times x equals 4858. |
\frac{\log{\left(2717 x - 7981 \right)}}{\log{\left(3 \right)}} + 6173 = -1528 | x \in \left\{\frac{1255730823303382669509920082190154759802098421704181695548879071406540743023161043723253862208552734581498221119390558772679592773270818981768972371138517321678563073519105090889506181218554090681158147373086041504162256086040209640166297883115470116162738199473261170532791726838552614230814197211936... | Solve for x: logarithm of 3 to the power of -1 times logarithm of 2717 times x minus 7981 plus 6173 equals -1528. |
- 5538 x^{2} + 45201156 x - 5651232257 = -7847 | x \in \left\{127, 8035\right\} | Solve for x: -5538 times x squared plus 45201156 times x minus 5651232257 equals -7847. |
9569 x - 514 = -5674 | x \in \left\{- \frac{5160}{9569}\right\} | Solve for x: 9569 times x minus 514 equals -5674. |
e^{- 9069 x - 4734} + 13639 = 15241 | x \in \left\{- \frac{1578}{3023} - \frac{\log{\left(1602 \right)}}{9069}\right\} | Solve for x: exponential of -9069 times x minus 4734 plus 13639 equals 15241. |
\cos{\left(3 x - 3148 \right)} - 1936 = -1937 | x \in \left\{\frac{2 n \pi}{3} - \frac{1001 \pi}{3} + \frac{3148}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 3 times x minus 3148 minus 1936 equals -1937. |
\log{\left(8083 x - 2921 \right)} - 8643 = -4550 | x \in \left\{\frac{2921}{8083} + \frac{e^{4093}}{8083}\right\} | Solve for x: logarithm of 8083 times x minus 2921 minus 8643 equals -4550. |
\left|{5866 x + 5935}\right| + 3780 = 7170 | x \in \left\{- \frac{9325}{5866}, - \frac{2545}{5866}\right\} | Solve for x: Abs(5866*x + 5935) plus 3780 equals 7170. |
e^{4080 x + 4540} + 5364 = 5674 | x \in \left\{- \frac{227}{204} + \frac{\log{\left(310 \right)}}{4080}\right\} | Solve for x: exponential of 4080 times x plus 4540 plus 5364 equals 5674. |
- 28 x^{3} - 258468 x^{2} + 1775620392 x + 16204556863906 = 8034 | x \in \left\{-9482, -7688, 7939\right\} | Solve for x: -28 times x cubed minus 258468 times x squared plus 1775620392 times x plus 16204556863906 equals 8034. |
- 2442 x^{3} + 25111086 x^{2} + 100366073016 x - 1129640109327976 = 5144 | x \in \left\{-6593, 7420, 9456\right\} | Solve for x: -2442 times x cubed plus 25111086 times x squared plus 100366073016 times x minus 1129640109327976 equals 5144. |
\left|{1349 x + 5563}\right| - 5253 = 1251 | x \in \left\{- \frac{12067}{1349}, \frac{941}{1349}\right\} | Solve for x: Abs(1349*x + 5563) minus 5253 equals 1251. |
\cos{\left(2 x - 4104 \right)} - 9123 = - \frac{18247}{2} | x \in \left\{n \pi - \frac{1958 \pi}{3} + 2052\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{1957 \pi}{3} + 2052\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x minus 4104 minus 9123 equals -18247 over 2. |
\log{\left(e^{6017 - 9637 x} + 6030 \right)} - 4401 = -4401 + \log{\left(7143 \right)} | x \in \left\{\frac{6017}{9637} - \frac{\log{\left(1113 \right)}}{9637}\right\} | Solve for x: logarithm of exponential of 6017 minus 9637 times x plus 6030 minus 4401 equals -4401 plus logarithm of 7143. |
\log{\left(e^{2283 x + 1667} + 4586 \right)} + 8036 = \log{\left(13199 \right)} + 8036 | x \in \left\{- \frac{1667}{2283} + \frac{\log{\left(8613 \right)}}{2283}\right\} | Solve for x: logarithm of exponential of 2283 times x plus 1667 plus 4586 plus 8036 equals logarithm of 13199 plus 8036. |
\left|{8176 x - 9717}\right| + 3206 = 8635 | x \in \left\{\frac{268}{511}, \frac{7573}{4088}\right\} | Solve for x: Abs(8176*x - 9717) plus 3206 equals 8635. |
2616 x^{2} + 14110704 x - 71264599316 = -8660 | x \in \left\{-8572, 3178\right\} | Solve for x: 2616 times x squared plus 14110704 times x minus 71264599316 equals -8660. |
\log{\left(e^{- 7833 x - 273} + 9351 \right)} - 6372 = -6372 + \log{\left(15859 \right)} | x \in \left\{- \frac{13}{373} - \frac{\log{\left(6508 \right)}}{7833}\right\} | Solve for x: logarithm of exponential of -7833 times x minus 273 plus 9351 minus 6372 equals -6372 plus logarithm of 15859. |
\frac{\log{\left(4038 x - 6796 \right)}}{\log{\left(10 \right)}} + 8281 = 9739 | x \in \left\{\frac{5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... | Solve for x: logarithm of 10 to the power of -1 times logarithm of 4038 times x minus 6796 plus 8281 equals 9739. |
\log{\left(e^{7113 - 824 x} + 9828 \right)} + 1148 = \log{\left(9951 \right)} + 1148 | x \in \left\{\frac{7113}{824} - \frac{\log{\left(123 \right)}}{824}\right\} | Solve for x: logarithm of exponential of 7113 minus 824 times x plus 9828 plus 1148 equals logarithm of 9951 plus 1148. |
557 x^{2} + 6507988 x + 18102931714 = -7202 | x \in \left\{-7118, -4566\right\} | Solve for x: 557 times x squared plus 6507988 times x plus 18102931714 equals -7202. |
- 5373 x^{3} - 6463719 x^{2} + 40927946328 x - 30400527330362 = 9394 | x \in \left\{-3686, 1162, 1321\right\} | Solve for x: -5373 times x cubed minus 6463719 times x squared plus 40927946328 times x minus 30400527330362 equals 9394. |
- 5594 x^{2} + 54245018 x - 116976240022 = 5858 | x \in \left\{3237, 6460\right\} | Solve for x: -5594 times x squared plus 54245018 times x minus 116976240022 equals 5858. |
- 5727 x^{5} - 105153447 x^{4} - 662290628031 x^{3} - 1824631133976825 x^{2} - 2231509428514185450 x - 991807979713453296388 = -9388 | x \in \left\{-8765, -4279, -2690, -1407, -1220\right\} | Solve for x: -5727 times x to the power of 5 minus 105153447 times x to the power of 4 minus 662290628031 times x cubed minus 1824631133976825 times x squared minus 2231509428514185450 times x minus 991807979713453296388 equals -9388. |
3243 x^{3} - 16036635 x^{2} - 275315931378 x + 1302829456500867 = -4173 | x \in \left\{-9144, 4659, 9430\right\} | Solve for x: 3243 times x cubed minus 16036635 times x squared minus 275315931378 times x plus 1302829456500867 equals -4173. |
\sqrt{- 379 x - 1913} + 2374 = 8410 | x \in \left\{- \frac{36435209}{379}\right\} | Solve for x: -379 times x minus 1913 to the power of 1 over 2 plus 2374 equals 8410. |
\log{\left(e^{- 284 x - 6406} + 6932 \right)} + 8495 = \log{\left(16292 \right)} + 8495 | x \in \left\{- \frac{3203}{142} - \frac{\log{\left(9360 \right)}}{284}\right\} | Solve for x: logarithm of exponential of -284 times x minus 6406 plus 6932 plus 8495 equals logarithm of 16292 plus 8495. |
\log{\left(- 2966 x - 6738 \right)} - 9203 = -10891 | x \in \left\{- \frac{3369}{1483} - \frac{1}{2966 e^{1688}}\right\} | Solve for x: logarithm of -2966 times x minus 6738 minus 9203 equals -10891. |
\log{\left(8021 - 4646 x \right)} + 3655 = -1640 | x \in \left\{\frac{8021}{4646} - \frac{1}{4646 e^{5295}}\right\} | Solve for x: logarithm of 8021 minus 4646 times x plus 3655 equals -1640. |
8 x^{3} - 174600 x^{2} + 1266827832 x - 3056464352225 = -425 | x \in \left\{6861, 6939, 8025\right\} | Solve for x: 8 times x cubed minus 174600 times x squared plus 1266827832 times x minus 3056464352225 equals -425. |
e^{4778 - 5266 x} - 2704 = 600 | x \in \left\{\frac{2389}{2633} - \frac{\log{\left(3304 \right)}}{5266}\right\} | Solve for x: exponential of 4778 minus 5266 times x minus 2704 equals 600. |
10715 - 8623 x = 9540 | x \in \left\{\frac{1175}{8623}\right\} | Solve for x: 10715 minus 8623 times x equals 9540. |
3861 x + 7599 = -290 | x \in \left\{- \frac{7889}{3861}\right\} | Solve for x: 3861 times x plus 7599 equals -290. |
- 6692 x^{5} - 35895888 x^{4} + 279122115440 x^{3} + 808412795988616 x^{2} - 1604927001816067020 x - 2018355150578131411256 = -9856 | x \in \left\{-8281, -3415, -962, 2159, 5135\right\} | Solve for x: -6692 times x to the power of 5 minus 35895888 times x to the power of 4 plus 279122115440 times x cubed plus 808412795988616 times x squared minus 1604927001816067020 times x minus 2018355150578131411256 equals -9856. |
-1286 + \frac{9563 x + 1991}{4510 x + 9430} = -2047 | x \in \left\{- \frac{7178221}{3441673}\right\} | Solve for x: -1286 plus 4510 times x plus 9430 to the power of -1 times 9563 times x plus 1991 equals -2047. |
\sin{\left(x - 9212 \right)} + 2140 = 2139 | x \in \left\{2 n \pi - \frac{5861 \pi}{2} + 9212\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of x minus 9212 plus 2140 equals 2139. |
1878 x^{2} + 3577590 x - 123114169501 = -1501 | x \in \left\{-9105, 7200\right\} | Solve for x: 1878 times x squared plus 3577590 times x minus 123114169501 equals -1501. |
\log{\left(- 2672 x - 8572 \right)} + 5334 = 3078 | x \in \left\{- \frac{2143}{668} - \frac{1}{2672 e^{2256}}\right\} | Solve for x: logarithm of -2672 times x minus 8572 plus 5334 equals 3078. |
- 4847 x^{2} + 17250473 x + 46235719166 = -7714 | x \in \left\{-1785, 5344\right\} | Solve for x: -4847 times x squared plus 17250473 times x plus 46235719166 equals -7714. |
5355 x^{4} + 45035550 x^{3} - 91434092085 x^{2} - 1031180749373880 x - 777649284604491095 = -7895 | x \in \left\{-7696, -4677, -840, 4803\right\} | Solve for x: 5355 times x to the power of 4 plus 45035550 times x cubed minus 91434092085 times x squared minus 1031180749373880 times x minus 777649284604491095 equals -7895. |
3^{6212 x + 7879} + 7165 = \frac{44468077345742772861300359330454448757098481580779174363203904500110350031769266449123933753624609178820424506424247377420243651961064229817735680156200458743757023954016270302595895459031662093481674505685723158196067058329583093808767282833494141295362053520701286279000189195456519515... | x \in \left\{- \frac{6949}{3106}\right\} | Solve for x: 3 to the power of 6212 times x plus 7879 plus 7165 equals 444680773457427728613003593304544487570984815807791743632039045001103500317692664491239337536246091788204245064242473774202436519610642298177356801562004587437570239540162703025958954590316620934816745056857231581960670583295830938087672828334941412... |
-7364 + \frac{1}{- 6449 x - 3623} = - \frac{23678}{3} | x \in \left\{- \frac{5746075}{10228114}\right\} | Solve for x: -7364 plus -6449 times x minus 3623 to the power of -1 equals -23678 over 3. |
e^{1050 x + 6876} - 2409 = 1533 | x \in \left\{- \frac{1146}{175} + \frac{\log{\left(3942 \right)}}{1050}\right\} | Solve for x: exponential of 1050 times x plus 6876 minus 2409 equals 1533. |
\log{\left(5922 x - 2025 \right)} - 9348 = -3224 | x \in \left\{\frac{225}{658} + \frac{e^{6124}}{5922}\right\} | Solve for x: logarithm of 5922 times x minus 2025 minus 9348 equals -3224. |
e^{- 1102 x - 4695} - 6373 = -4813 | x \in \left\{- \frac{4695}{1102} - \frac{\log{\left(1560 \right)}}{1102}\right\} | Solve for x: exponential of -1102 times x minus 4695 minus 6373 equals -4813. |
\log{\left(2615 x - 3477 \right)} - 6377 = -6377 + \log{\left(3809 \right)} | x \in \left\{\frac{7286}{2615}\right\} | Solve for x: logarithm of 2615 times x minus 3477 minus 6377 equals -6377 plus logarithm of 3809. |
\log{\left(4729 - 4611 x \right)} + 6378 = 3893 | x \in \left\{\frac{4729}{4611} - \frac{1}{4611 e^{2485}}\right\} | Solve for x: logarithm of 4729 minus 4611 times x plus 6378 equals 3893. |
\sqrt{1409 x - 6748} + 8638 = 11709 | x \in \left\{\frac{9437789}{1409}\right\} | Solve for x: 1409 times x minus 6748 to the power of 1 over 2 plus 8638 equals 11709. |
\log{\left(- 1414 x - 8485 \right)} - 5541 = -5541 + \log{\left(2973 \right)} | x \in \left\{- \frac{5729}{707}\right\} | Solve for x: logarithm of -1414 times x minus 8485 minus 5541 equals -5541 plus logarithm of 2973. |
3^{9051 x + 6212} - 5866 = 13783062739084354731752522107014293681751549389724148997434557716336597380613262647597385587868542063736035339386691822564593587460531498159059644634013171838177408619882940813205729473495849314114369850383446079971535432195369894217249252326588317035441398344074157915688419085788668878588915... | x \in \left\{- \frac{230}{9051}\right\} | Solve for x: 3 to the power of 9051 times x plus 6212 minus 5866 equals 13783062739084354731752522107014293681751549389724148997434557716336597380613262647597385587868542063736035339386691822564593587460531498159059644634013171838177408619882940813205729473495849314114369850383446079971535432195369894217249252326588317... |
- 7343 x^{5} - 27705139 x^{4} + 915767926150 x^{3} + 4043588126746350 x^{2} - 27014486868956755287 x - 130221100408958747388284 = -833 | x \in \left\{-7461, -6823, -5523, 6923, 9111\right\} | Solve for x: -7343 times x to the power of 5 minus 27705139 times x to the power of 4 plus 915767926150 times x cubed plus 4043588126746350 times x squared minus 27014486868956755287 times x minus 130221100408958747388284 equals -833. |
\log{\left(5299 x + 840 \right)} - 2866 = -4699 | x \in \left\{- \frac{120}{757} + \frac{1}{5299 e^{1833}}\right\} | Solve for x: logarithm of 5299 times x plus 840 minus 2866 equals -4699. |
\frac{\log{\left(816 - 2260 x \right)}}{\log{\left(10 \right)}} + 3866 = 12373 | x \in \left\{- \frac{24999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... | Solve for x: logarithm of 10 to the power of -1 times logarithm of 816 minus 2260 times x plus 3866 equals 12373. |
\frac{\log{\left(1682 x + 3090 \right)}}{\log{\left(3 \right)}} + 5540 = 3770 | x \in \left\{- \frac{98759602492423897843862578400190572786401118827242806255837481014810976441916731851452371417819620291443452203302775252779496256451825375319049450376587775999154313853513016125454676691126420117622382002051685951975209482525707370178602851800901947233643773624470600513669173746211699384761920383739... | Solve for x: logarithm of 3 to the power of -1 times logarithm of 1682 times x plus 3090 plus 5540 equals 3770. |
3^{- 5605 x - 477} - 8217 = 4855069825372626314224847082755718685590525352951802366928116157260198391264262332857924763068328491296166464107669048498833777630720209459763636784867513964455941347649759621227260704543067517132743993696653948083089002267001903621656132281904443191036200024608895198292441673266224686510808... | x \in \left\{- \frac{1440}{1121}\right\} | Solve for x: 3 to the power of -5605 times x minus 477 minus 8217 equals 4855069825372626314224847082755718685590525352951802366928116157260198391264262332857924763068328491296166464107669048498833777630720209459763636784867513964455941347649759621227260704543067517132743993696653948083089002267001903621656132281904443... |
- 612 x^{4} + 8571060 x^{3} - 23147510760 x^{2} - 83395111855680 x + 262275496599101093 = 6821 | x \in \left\{-3064, 2767, 6384, 7918\right\} | Solve for x: -612 times x to the power of 4 plus 8571060 times x cubed minus 23147510760 times x squared minus 83395111855680 times x plus 262275496599101093 equals 6821. |
6856 x^{3} - 100392408 x^{2} + 401743938944 x - 488239822036542 = 450 | x \in \left\{2768, 2851, 9024\right\} | Solve for x: 6856 times x cubed minus 100392408 times x squared plus 401743938944 times x minus 488239822036542 equals 450. |
8000 + \frac{5213 x + 9270}{1291 x - 8276} = 16701 | x \in \left\{\frac{36009373}{5613889}\right\} | Solve for x: 8000 plus 1291 times x minus 8276 to the power of -1 times 5213 times x plus 9270 equals 16701. |
4489 x^{2} + 16295070 x + 4086283109 = -4212 | x \in \left\{-3359, -271\right\} | Solve for x: 4489 times x squared plus 16295070 times x plus 4086283109 equals -4212. |
\log{\left(6122 x - 3680 \right)} - 7805 = -3958 | x \in \left\{\frac{1840}{3061} + \frac{e^{3847}}{6122}\right\} | Solve for x: logarithm of 6122 times x minus 3680 minus 7805 equals -3958. |
e^{415 - 2183 x} + 6656 = 15045 | x \in \left\{\frac{415}{2183} - \frac{\log{\left(8389 \right)}}{2183}\right\} | Solve for x: exponential of 415 minus 2183 times x plus 6656 equals 15045. |
e^{5452 x - 2537} + 2257 = 5688 | x \in \left\{\frac{\log{\left(3431 \right)}}{5452} + \frac{2537}{5452}\right\} | Solve for x: exponential of 5452 times x minus 2537 plus 2257 equals 5688. |
\tan{\left(4 x + 1850 \right)} + 4305 = 4304 | x \in \left\{\frac{n \pi}{4} - \frac{925}{2} + \frac{2359 \pi}{16}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 4 times x plus 1850 plus 4305 equals 4304. |
e^{8280 - 9076 x} + 8808 = 13536 | x \in \left\{\frac{2070}{2269} - \frac{\log{\left(4728 \right)}}{9076}\right\} | Solve for x: exponential of 8280 minus 9076 times x plus 8808 equals 13536. |
\frac{\log{\left(1089 - 8640 x \right)}}{\log{\left(3 \right)}} - 7133 = 1609 | x \in \left\{- \frac{27397204947527369259302577384528508668284538259138805946734071703508958699334347389388147007731214553591342277290936502868047230385954821790300854282250143729746648614468253296735699554272830980250329673998584086188772406762992623035004061964535189834226821402547181685582487965628594412197354695109... | Solve for x: logarithm of 3 to the power of -1 times logarithm of 1089 minus 8640 times x minus 7133 equals 1609. |
4321 x^{3} + 4001246 x^{2} - 149426989896 x + 133336916063692 = -8948 | x \in \left\{-6738, 940, 4872\right\} | Solve for x: 4321 times x cubed plus 4001246 times x squared minus 149426989896 times x plus 133336916063692 equals -8948. |
2^{1888 - 666 x} - 4951 = 899929328245193022499588067309391350050940186844291814852641255607063978764859866989128103388651993265687033641913250482179449367493980970906280698901565347510281879356259069920816391191103914183545358830646302497468896385283967576481366277895534388041993981191868467342403505735972918233417391... | x \in \left\{- \frac{131}{111}\right\} | Solve for x: 2 to the power of 1888 minus 666 times x minus 4951 equals 89992932824519302249958806730939135005094018684429181485264125560706397876485986698912810338865199326568703364191325048217944936749398097090628069890156534751028187935625906992081639119110391418354535883064630249746889638528396757648136627789553438... |
4667 x^{2} - 68861585 x + 236457504825 = 1543 | x \in \left\{5438, 9317\right\} | Solve for x: 4667 times x squared minus 68861585 times x plus 236457504825 equals 1543. |
\log{\left(e^{5831 x + 2124} + 2333 \right)} - 5237 = -5237 + \log{\left(4229 \right)} | x \in \left\{- \frac{2124}{5831} + \frac{\log{\left(1896 \right)}}{5831}\right\} | Solve for x: logarithm of exponential of 5831 times x plus 2124 plus 2333 minus 5237 equals -5237 plus logarithm of 4229. |
10^{2421 x + 260} + 2498 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... | x \in \left\{\frac{1310}{807}\right\} | Solve for x: 10 to the power of 2421 times x plus 260 plus 2498 equals 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... |
\sqrt{9270 x - 4103} - 847 = 2710 | x \in \left\{\frac{2109392}{1545}\right\} | Solve for x: 9270 times x minus 4103 to the power of 1 over 2 minus 847 equals 2710. |
- 9993 x^{3} - 98251176 x^{2} + 244674687744 x + 2364629014609056 = -864 | x \in \left\{-9888, -4864, 4920\right\} | Solve for x: -9993 times x cubed minus 98251176 times x squared plus 244674687744 times x plus 2364629014609056 equals -864. |
\log{\left(466 x + 7947 \right)} + 1880 = \log{\left(5532 \right)} + 1880 | x \in \left\{- \frac{2415}{466}\right\} | Solve for x: logarithm of 466 times x plus 7947 plus 1880 equals logarithm of 5532 plus 1880. |
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