problem_latex string | solution_latex string | problem_english string |
|---|---|---|
\sin{\left(4 x - 1075 \right)} - 9979 = -9978 | x \in \left\{\frac{n \pi}{2} - \frac{683 \pi}{8} + \frac{1075}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 4 times x minus 1075 minus 9979 equals -9978. |
\left|{1463 x - 4470}\right| - 1816 = 820 | x \in \left\{\frac{262}{209}, \frac{34}{7}\right\} | Solve for x: Abs(1463*x - 4470) minus 1816 equals 820. |
\left|{9103 x - 2980}\right| - 2323 = 5996 | x \in \left\{- \frac{5339}{9103}, \frac{11299}{9103}\right\} | Solve for x: Abs(9103*x - 2980) minus 2323 equals 5996. |
8585 x^{3} - 48264870 x^{2} - 368273457860 x + 2092933871149605 = 1485 | x \in \left\{-6566, 6006, 6182\right\} | Solve for x: 8585 times x cubed minus 48264870 times x squared minus 368273457860 times x plus 2092933871149605 equals 1485. |
1835 x + 9070 = -9199 | x \in \left\{- \frac{18269}{1835}\right\} | Solve for x: 1835 times x plus 9070 equals -9199. |
\left|{8910 x - 1810}\right| - 5207 = 2206 | x \in \left\{- \frac{5603}{8910}, \frac{9223}{8910}\right\} | Solve for x: Abs(8910*x - 1810) minus 5207 equals 2206. |
\cos{\left(x + 8484 \right)} + 5984 = 5984 | x \in \left\{2 n \pi - 8484 + \frac{5403 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi - 8484 + \frac{5405 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of x plus 8484 plus 5984 equals 5984. |
\log{\left(e^{- 7442 x - 6847} + 6161 \right)} - 7198 = -7198 + \log{\left(12807 \right)} | x \in \left\{- \frac{6847}{7442} - \frac{\log{\left(6646 \right)}}{7442}\right\} | Solve for x: logarithm of exponential of -7442 times x minus 6847 plus 6161 minus 7198 equals -7198 plus logarithm of 12807. |
6961 x - 7032 = -10251 | x \in \left\{- \frac{3219}{6961}\right\} | Solve for x: 6961 times x minus 7032 equals -10251. |
\sqrt{- 223 x - 7535} - 6343 = -642 | x \in \left\{- \frac{32508936}{223}\right\} | Solve for x: -223 times x minus 7535 to the power of 1 over 2 minus 6343 equals -642. |
\sqrt{- 6634 x - 856} + 1050 = 1666 | x \in \left\{- \frac{190156}{3317}\right\} | Solve for x: -6634 times x minus 856 to the power of 1 over 2 plus 1050 equals 1666. |
5427 x^{2} - 83559519 x + 321303641656 = -4748 | x \in \left\{7449, 7948\right\} | Solve for x: 5427 times x squared minus 83559519 times x plus 321303641656 equals -4748. |
3^{3068 - 962 x} - 1637 = 341558058740179868801437935903841871604279303722495708052980934928795253754559369708037348478680316232670403194475745218524372112854870614796274427776217744849068760002947256118896180518994848736585113343756056128311699896565217774032973083900292265501352892302680059595133178230117769569947662... | x \in \left\{- \frac{6}{481}\right\} | Solve for x: 3 to the power of 3068 minus 962 times x minus 1637 equals 34155805874017986880143793590384187160427930372249570805298093492879525375455936970803734847868031623267040319447574521852437211285487061479627442777621774484906876000294725611889618051899484873658511334375605612831169989656521777403297308390029226... |
\frac{\log{\left(5441 x + 6654 \right)}}{\log{\left(2 \right)}} - 6498 = -3737 | x \in \left\{\frac{1392573184952400163650081640482554523211705943098341732765198305805763335694308116829486245154014900302811500641482269558208122014970215910200951522333109928460304163323397129906594817511750289730943744046792101808854273404632944945150012142711879136729630018528580240646480262223089416494526192849474... | Solve for x: logarithm of 2 to the power of -1 times logarithm of 5441 times x plus 6654 minus 6498 equals -3737. |
-1257 + \frac{259 x - 3116}{- 2543 x - 5227} = -2872 | x \in \left\{- \frac{8444721}{4106686}\right\} | Solve for x: -1257 plus -2543 times x minus 5227 to the power of -1 times 259 times x minus 3116 equals -2872. |
\sin{\left(3 x + 6709 \right)} + 8962 = 8962 | x \in \left\{\frac{2 n \pi}{3} - \frac{6709}{3} + 712 \pi\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{6709}{3} + \frac{2137 \pi}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 3 times x plus 6709 plus 8962 equals 8962. |
\sin{\left(3 x - 6686 \right)} - 9631 = - \frac{19263}{2} | x \in \left\{\frac{2 n \pi}{3} - \frac{12769 \pi}{18} + \frac{6686}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{12761 \pi}{18} + \frac{6686}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 3 times x minus 6686 minus 9631 equals -19263 over 2. |
- 4360 x - 2912 = -11539 | x \in \left\{\frac{8627}{4360}\right\} | Solve for x: -4360 times x minus 2912 equals -11539. |
8297 x^{4} + 51292054 x^{3} - 209689558289 x^{2} - 1702233767604766 x - 2187818926001814391 = 5705 | x \in \left\{-5777, -4343, -1824, 5762\right\} | Solve for x: 8297 times x to the power of 4 plus 51292054 times x cubed minus 209689558289 times x squared minus 1702233767604766 times x minus 2187818926001814391 equals 5705. |
5^{5216 x - 1141} - 7507 = - \frac{558642138727177523608096413497036948793291487393955923033930947944782093374101049945133863794025024220705739779525550099110807987055012297580202840140042356569820530289495669786434126417078544005752285768123760942586632748258308163799781003854218586260357941225280249268251547777197623... | x \in \left\{- \frac{537}{5216}\right\} | Solve for x: 5 to the power of 5216 times x minus 1141 minus 7507 equals -558642138727177523608096413497036948793291487393955923033930947944782093374101049945133863794025024220705739779525550099110807987055012297580202840140042356569820530289495669786434126417078544005752285768123760942586632748258308163799781003854218... |
\sqrt{7335 x - 8792} + 2787 = 9372 | x \in \left\{\frac{43371017}{7335}\right\} | Solve for x: 7335 times x minus 8792 to the power of 1 over 2 plus 2787 equals 9372. |
5683 x^{3} + 36780376 x^{2} - 310168677805 x - 2004253047080890 = 6660 | x \in \left\{-7427, -6430, 7385\right\} | Solve for x: 5683 times x cubed plus 36780376 times x squared minus 310168677805 times x minus 2004253047080890 equals 6660. |
\log{\left(e^{3666 x + 4262} + 6092 \right)} + 9221 = \log{\left(13584 \right)} + 9221 | x \in \left\{- \frac{2131}{1833} + \frac{\log{\left(7492 \right)}}{3666}\right\} | Solve for x: logarithm of exponential of 3666 times x plus 4262 plus 6092 plus 9221 equals logarithm of 13584 plus 9221. |
2^{670 x + 8222} + 6633 = \frac{149770726053965157474478352685914516872852927385063342130953653093923010138864351277635179368815484044617675089948606097027780741236069040654592494639712410022467865252902068749160937701086212605166308425212352900053946483747396123055323232581185710318430385652527933500972865632554232505... | x \in \left\{- \frac{15847}{670}\right\} | Solve for x: 2 to the power of 670 times x plus 8222 plus 6633 equals 1497707260539651574744783526859145168728529273850633421309536530939230101388643512776351793688154840446176750899486060970277807412360690406545924946397124100224678652529020687491609377010862126051663084252123529000539464837473961230553232325811857103... |
\frac{\log{\left(- 6064 x - 9415 \right)}}{\log{\left(3 \right)}} + 3858 = 3755 | x \in \left\{- \frac{65505771328840470203061800746034877813619621315132103}{42190865357205375603968853927132819868485330181089864}\right\} | Solve for x: logarithm of 3 to the power of -1 times logarithm of -6064 times x minus 9415 plus 3858 equals 3755. |
- 9971 x^{2} + 49336508 x - 60236326773 = -181 | x \in \left\{2192, 2756\right\} | Solve for x: -9971 times x squared plus 49336508 times x minus 60236326773 equals -181. |
\tan{\left(3 x - 2644 \right)} + 4823 = 4823 | x \in \left\{\frac{n \pi}{3} - \frac{841 \pi}{3} + \frac{2644}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of 3 times x minus 2644 plus 4823 equals 4823. |
e^{- 9918 x - 1785} - 2421 = -2381 | x \in \left\{- \frac{595}{3306} - \frac{\log{\left(40 \right)}}{9918}\right\} | Solve for x: exponential of -9918 times x minus 1785 minus 2421 equals -2381. |
\left|{2389 x - 5789}\right| + 9695 = 13104 | x \in \left\{\frac{2380}{2389}, \frac{9198}{2389}\right\} | Solve for x: Abs(2389*x - 5789) plus 9695 equals 13104. |
8998 x^{2} + 109829588 x + 238930275766 = 2184 | x \in \left\{-9373, -2833\right\} | Solve for x: 8998 times x squared plus 109829588 times x plus 238930275766 equals 2184. |
3852 x^{4} - 84139236 x^{3} + 566141313384 x^{2} - 880254117760320 x - 1972706652848134761 = -3561 | x \in \left\{-1180, 6710, 6797, 9516\right\} | Solve for x: 3852 times x to the power of 4 minus 84139236 times x cubed plus 566141313384 times x squared minus 880254117760320 times x minus 1972706652848134761 equals -3561. |
\log{\left(7903 x + 5554 \right)} - 8534 = -8534 + \log{\left(5091 \right)} | x \in \left\{- \frac{463}{7903}\right\} | Solve for x: logarithm of 7903 times x plus 5554 minus 8534 equals -8534 plus logarithm of 5091. |
\frac{\log{\left(- 5957 x - 5314 \right)}}{\log{\left(3 \right)}} + 9043 = -24 | x \in \left\{- \frac{60790832833566862241610285949161678819076471422625454417501963478723429171185685163330620988693230846285320697807684377969247503257060869109516798122733533076878674421394938914113953949235287088677689899430620949028082253982736165163560405997965453997786810021542946124203203284363374511849143315671... | Solve for x: logarithm of 3 to the power of -1 times logarithm of -5957 times x minus 5314 plus 9043 equals -24. |
1052 x^{2} - 3797720 x - 51654949970 = 7922 | x \in \left\{-5431, 9041\right\} | Solve for x: 1052 times x squared minus 3797720 times x minus 51654949970 equals 7922. |
5012 x^{2} - 12835732 x - 222345476263 = 5249 | x \in \left\{-5502, 8063\right\} | Solve for x: 5012 times x squared minus 12835732 times x minus 222345476263 equals 5249. |
\sqrt{4146 x - 1259} - 2953 = 6519 | x \in \left\{\frac{29906681}{1382}\right\} | Solve for x: 4146 times x minus 1259 to the power of 1 over 2 minus 2953 equals 6519. |
-261 + \frac{1}{- 2620 x - 6500} = - \frac{1985}{2} | x \in \left\{- \frac{4754749}{1916530}\right\} | Solve for x: -261 plus -2620 times x minus 6500 to the power of -1 equals -1985 over 2. |
\sqrt{- 2552 x - 8930} - 1859 = 584 | x \in \left\{- \frac{5977179}{2552}\right\} | Solve for x: -2552 times x minus 8930 to the power of 1 over 2 minus 1859 equals 584. |
- 2203 x^{2} - 16577575 x + 12154516759 = 6197 | x \in \left\{-8198, 673\right\} | Solve for x: -2203 times x squared minus 16577575 times x plus 12154516759 equals 6197. |
e^{7367 x - 740} + 839 = 9736 | x \in \left\{\frac{\log{\left(8897 \right)}}{7367} + \frac{740}{7367}\right\} | Solve for x: exponential of 7367 times x minus 740 plus 839 equals 9736. |
\log{\left(5185 - 2057 x \right)} - 5890 = -5890 + \log{\left(8964 \right)} | x \in \left\{- \frac{3779}{2057}\right\} | Solve for x: logarithm of 5185 minus 2057 times x minus 5890 equals -5890 plus logarithm of 8964. |
\frac{\log{\left(6736 x - 2342 \right)}}{\log{\left(5 \right)}} - 1401 = -1875 | x \in \left\{\frac{4801411695532874101774426699622019023881203854647281833713975968497446308455774158470680173670513367139918837311727342095971463091576934400321489545161313412877857817309648207466793222400712323724979573633515192247484711469746853538146958293241433873111474393460470756788082340830413400795963728417969... | Solve for x: logarithm of 5 to the power of -1 times logarithm of 6736 times x minus 2342 minus 1401 equals -1875. |
5484 x^{3} - 114856896 x^{2} + 745464134436 x - 1442189168097960 = -7800 | x \in \left\{3535, 7532, 9877\right\} | Solve for x: 5484 times x cubed minus 114856896 times x squared plus 745464134436 times x minus 1442189168097960 equals -7800. |
\frac{7172 - 9076 x}{- 8493 x - 1727} + 9632 = 9918 | x \in \left\{- \frac{250547}{1209961}\right\} | Solve for x: -8493 times x minus 1727 to the power of -1 times 7172 minus 9076 times x plus 9632 equals 9918. |
2598 x^{2} - 6430050 x - 21791885565 = -7053 | x \in \left\{-1912, 4387\right\} | Solve for x: 2598 times x squared minus 6430050 times x minus 21791885565 equals -7053. |
2462 + \frac{8578 x - 753}{- 4235 x - 4119} = \frac{8477}{4} | x \in \left\{- \frac{5650161}{5771873}\right\} | Solve for x: 2462 plus -4235 times x minus 4119 to the power of -1 times 8578 times x minus 753 equals 8477 over 4. |
\sqrt{8985 - 326 x} - 8218 = -6396 | x \in \left\{- \frac{3310699}{326}\right\} | Solve for x: 8985 minus 326 times x to the power of 1 over 2 minus 8218 equals -6396. |
4540 x^{2} - 71536780 x + 279567118108 = 1708 | x \in \left\{7177, 8580\right\} | Solve for x: 4540 times x squared minus 71536780 times x plus 279567118108 equals 1708. |
\frac{\log{\left(2841 x + 2688 \right)}}{\log{\left(2 \right)}} + 8143 = 11985 | x \in \left\{\frac{3607807366780211423349391234604493063580589937010208160598445971261721705581986655581208041309615267928791214524154842074975992793215471817276220898460509477576972056972085633474081282424200317444656253619155456433920468338242025333641497455671774500840461857350213423139831956690500780058571591540042... | Solve for x: logarithm of 2 to the power of -1 times logarithm of 2841 times x plus 2688 plus 8143 equals 11985. |
3996 x^{3} + 7616376 x^{2} - 113123239524 x - 153739731353352 = -2328 | x \in \left\{-5692, -1323, 5109\right\} | Solve for x: 3996 times x cubed plus 7616376 times x squared minus 113123239524 times x minus 153739731353352 equals -2328. |
e^{3105 x + 5489} - 6120 = 2300 | x \in \left\{- \frac{5489}{3105} + \frac{\log{\left(8420 \right)}}{3105}\right\} | Solve for x: exponential of 3105 times x plus 5489 minus 6120 equals 2300. |
- 7541 x - 11670 = -1228 | x \in \left\{- \frac{10442}{7541}\right\} | Solve for x: -7541 times x minus 11670 equals -1228. |
\frac{33 x + 3918}{1301 x - 4180} + 2098 = \frac{9955}{4} | x \in \left\{\frac{2183004}{677777}\right\} | Solve for x: 1301 times x minus 4180 to the power of -1 times 33 times x plus 3918 plus 2098 equals 9955 over 4. |
9954 x - 3315 = 6865 | x \in \left\{\frac{5090}{4977}\right\} | Solve for x: 9954 times x minus 3315 equals 6865. |
245 - 8506 x = 10289 | x \in \left\{- \frac{5022}{4253}\right\} | Solve for x: 245 minus 8506 times x equals 10289. |
\frac{\log{\left(- 2632 x - 604 \right)}}{\log{\left(5 \right)}} + 6716 = -2566 | x \in \left\{- \frac{41746222697483658222655984944321543763561174992320609623383613689606743028153988251596391986944252042960010645155934339836715170630076889242113568938202946052235793299466048087782445923292856921877565094674035761056947195113267444242957708983723423034434923917834981942523015713928640780295399557653... | Solve for x: logarithm of 5 to the power of -1 times logarithm of -2632 times x minus 604 plus 6716 equals -2566. |
\left|{5942 x - 6280}\right| + 508 = 7413 | x \in \left\{- \frac{625}{5942}, \frac{13185}{5942}\right\} | Solve for x: Abs(5942*x - 6280) plus 508 equals 7413. |
e^{7424 - 6712 x} - 9799 = -8129 | x \in \left\{\frac{928}{839} - \frac{\log{\left(1670 \right)}}{6712}\right\} | Solve for x: exponential of 7424 minus 6712 times x minus 9799 equals -8129. |
\log{\left(e^{2645 x + 3970} + 9034 \right)} + 1590 = \log{\left(11180 \right)} + 1590 | x \in \left\{- \frac{794}{529} + \frac{\log{\left(2146 \right)}}{2645}\right\} | Solve for x: logarithm of exponential of 2645 times x plus 3970 plus 9034 plus 1590 equals logarithm of 11180 plus 1590. |
6467 x - 9683 = -948 | x \in \left\{\frac{8735}{6467}\right\} | Solve for x: 6467 times x minus 9683 equals -948. |
\left|{4140 x - 4374}\right| - 3222 = 5637 | x \in \left\{- \frac{13}{12}, \frac{4411}{1380}\right\} | Solve for x: Abs(4140*x - 4374) minus 3222 equals 5637. |
- 188 x - 16891 = -8095 | x \in \left\{- \frac{2199}{47}\right\} | Solve for x: -188 times x minus 16891 equals -8095. |
- 1859 x^{3} + 13979680 x^{2} + 12337164268 x - 146664624876986 = 70 | x \in \left\{-3062, 3798, 6784\right\} | Solve for x: -1859 times x cubed plus 13979680 times x squared plus 12337164268 times x minus 146664624876986 equals 70. |
\cos{\left(2 x - 4388 \right)} + 1722 = \frac{3443}{2} | x \in \left\{n \pi - \frac{2095 \pi}{3} + 2194\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{2093 \pi}{3} + 2194\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x minus 4388 plus 1722 equals 3443 over 2. |
- 3368 x^{4} + 70418144 x^{3} - 510789711304 x^{2} + 1569747510927184 x - 1751033817753081946 = -5530 | x \in \left\{3661, 3677, 4062, 9508\right\} | Solve for x: -3368 times x to the power of 4 plus 70418144 times x cubed minus 510789711304 times x squared plus 1569747510927184 times x minus 1751033817753081946 equals -5530. |
- 602 x^{2} + 7273966 x - 20672850230 = 5554 | x \in \left\{4572, 7511\right\} | Solve for x: -602 times x squared plus 7273966 times x minus 20672850230 equals 5554. |
3714 x^{3} - 53693298 x^{2} + 193845195684 x - 193924936759173 = -9573 | x \in \left\{1731, 3150, 9576\right\} | Solve for x: 3714 times x cubed minus 53693298 times x squared plus 193845195684 times x minus 193924936759173 equals -9573. |
\sqrt{2312 - 3648 x} + 9935 = 17553 | x \in \left\{- \frac{14507903}{912}\right\} | Solve for x: 2312 minus 3648 times x to the power of 1 over 2 plus 9935 equals 17553. |
\frac{- 4155 x - 4384}{5162 x - 653} - 7545 = -8410 | x \in \left\{\frac{569229}{4460975}\right\} | Solve for x: 5162 times x minus 653 to the power of -1 times -4155 times x minus 4384 minus 7545 equals -8410. |
8262 x^{3} - 31792176 x^{2} - 378024472152 x - 546135475117053 = -2109 | x \in \left\{-3694, -1896, 9438\right\} | Solve for x: 8262 times x cubed minus 31792176 times x squared minus 378024472152 times x minus 546135475117053 equals -2109. |
- 1193 x - 1037 = 798 | x \in \left\{- \frac{1835}{1193}\right\} | Solve for x: -1193 times x minus 1037 equals 798. |
\frac{\log{\left(4707 x - 6366 \right)}}{\log{\left(2 \right)}} + 6213 = -1582 | x \in \left\{\frac{2151210133543707657717732687069174847115574651392196293328453857590774895210541263881080109681848012085619840419117951717819121695348862335843073678728880618066064131998364160242488102549297328148433204360132187681649466036720752483480728818762610504100200255161416317247916856216235574368462322011145... | Solve for x: logarithm of 2 to the power of -1 times logarithm of 4707 times x minus 6366 plus 6213 equals -1582. |
\log{\left(e^{8970 - 3368 x} + 1923 \right)} - 8658 = -8658 + \log{\left(5559 \right)} | x \in \left\{\frac{4485}{1684} - \frac{\log{\left(3636 \right)}}{3368}\right\} | Solve for x: logarithm of exponential of 8970 minus 3368 times x plus 1923 minus 8658 equals -8658 plus logarithm of 5559. |
3^{1103 x + 7666} + 9494 = \frac{12796913221146788945920732597090786956823846636391926283435614914681156817737491975536940781794786733720054045029659067611295384327260116273656076599507303452494436225970626745030766628334290924372898303943394196749182574482830062053766741309078837322062492551885413002751036984190514853... | x \in \left\{- \frac{10261}{1103}\right\} | Solve for x: 3 to the power of 1103 times x plus 7666 plus 9494 equals 127969132211467889459207325970907869568238466363919262834356149146811568177374919755369407817947867337200540450296590676112953843272601162736560765995073034524944362259706267450307666283342909243728983039433941967491825744828300620537667413090788373... |
- 3733 x^{3} - 45736716 x^{2} + 69983764225 x + 1543583423753047 = 8047 | x \in \left\{-9977, -7675, 5400\right\} | Solve for x: -3733 times x cubed minus 45736716 times x squared plus 69983764225 times x plus 1543583423753047 equals 8047. |
\left|{6697 x - 4498}\right| + 6981 = 9261 | x \in \left\{\frac{2218}{6697}, \frac{6778}{6697}\right\} | Solve for x: Abs(6697*x - 4498) plus 6981 equals 9261. |
- 7605 x^{3} - 3992625 x^{2} + 524523496770 x + 1554014835743705 = 9305 | x \in \left\{-6322, -3483, 9280\right\} | Solve for x: -7605 times x cubed minus 3992625 times x squared plus 524523496770 times x plus 1554014835743705 equals 9305. |
\frac{- 1330 x - 2453}{- 1283 x - 9488} + 1907 = -7122 | x \in \left\{- \frac{85669605}{11585537}\right\} | Solve for x: -1283 times x minus 9488 to the power of -1 times -1330 times x minus 2453 plus 1907 equals -7122. |
\sin{\left(2 x - 1776 \right)} + 3032 = \frac{6063}{2} | x \in \left\{n \pi - \frac{3389 \pi}{12} + 888\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - \frac{3385 \pi}{12} + 888\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: sine of 2 times x minus 1776 plus 3032 equals 6063 over 2. |
8202 x - 2215 = -7797 | x \in \left\{- \frac{2791}{4101}\right\} | Solve for x: 8202 times x minus 2215 equals -7797. |
-6536 + \frac{1}{917 - 6384 x} = -8871 | x \in \left\{\frac{178433}{1242220}\right\} | Solve for x: -6536 plus 917 minus 6384 times x to the power of -1 equals -8871. |
\log{\left(e^{- 1981 x - 5605} + 1725 \right)} - 2346 = -2346 + \log{\left(8235 \right)} | x \in \left\{- \frac{5605}{1981} - \frac{\log{\left(6510 \right)}}{1981}\right\} | Solve for x: logarithm of exponential of -1981 times x minus 5605 plus 1725 minus 2346 equals -2346 plus logarithm of 8235. |
\left(7593 - 3375 x\right)^{4} + 6683 = 7810812466204284 | x \in \left\{- \frac{1808}{3375}, \frac{16994}{3375}\right\} | Solve for x: 7593 minus 3375 times x to the power of 4 plus 6683 equals 7810812466204284. |
9498 x^{2} + 31618842 x - 73176133543 = -8287 | x \in \left\{-4901, 1572\right\} | Solve for x: 9498 times x squared plus 31618842 times x minus 73176133543 equals -8287. |
- 9697 x - 15622 = 3887 | x \in \left\{- \frac{19509}{9697}\right\} | Solve for x: -9697 times x minus 15622 equals 3887. |
\log{\left(5160 x + 7555 \right)} + 3181 = \log{\left(8614 \right)} + 3181 | x \in \left\{\frac{353}{1720}\right\} | Solve for x: logarithm of 5160 times x plus 7555 plus 3181 equals logarithm of 8614 plus 3181. |
694 x^{3} - 1272102 x^{2} - 40954764526 x + 61109498483098 = -5972 | x \in \left\{-7541, 1479, 7895\right\} | Solve for x: 694 times x cubed minus 1272102 times x squared minus 40954764526 times x plus 61109498483098 equals -5972. |
\frac{1095 - 1492 x}{2313 - 8868 x} - 3922 = -7245 | x \in \left\{\frac{3843597}{14734928}\right\} | Solve for x: 2313 minus 8868 times x to the power of -1 times 1095 minus 1492 times x minus 3922 equals -7245. |
\log{\left(1767 x + 9439 \right)} - 7794 = -7794 + \log{\left(7998 \right)} | x \in \left\{- \frac{1441}{1767}\right\} | Solve for x: logarithm of 1767 times x plus 9439 minus 7794 equals -7794 plus logarithm of 7998. |
\log{\left(e^{5564 x + 5046} + 7322 \right)} - 5232 = -5232 + \log{\left(11968 \right)} | x \in \left\{- \frac{2523}{2782} + \frac{\log{\left(4646 \right)}}{5564}\right\} | Solve for x: logarithm of exponential of 5564 times x plus 5046 plus 7322 minus 5232 equals -5232 plus logarithm of 11968. |
\cos{\left(2 x + 2121 \right)} - 2050 = -2051 | x \in \left\{n \pi - \frac{2121}{2} + \frac{677 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x plus 2121 minus 2050 equals -2051. |
\tan{\left(x + 7980 \right)} - 8964 = -8963 | x \in \left\{n \pi - 7980 + \frac{10161 \pi}{4}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: tangent of x plus 7980 minus 8964 equals -8963. |
\sqrt{3558 x - 3474} + 5803 = 11253 | x \in \left\{\frac{14852987}{1779}\right\} | Solve for x: 3558 times x minus 3474 to the power of 1 over 2 plus 5803 equals 11253. |
\cos{\left(3 x - 6842 \right)} + 5548 = \frac{11095}{2} | x \in \left\{\frac{2 n \pi}{3} - \frac{6532 \pi}{9} + \frac{6842}{3}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{\frac{2 n \pi}{3} - \frac{6530 \pi}{9} + \frac{6842}{3}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 3 times x minus 6842 plus 5548 equals 11095 over 2. |
10^{870 x - 8163} - 6904 = 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993096 | x \in \left\{\frac{845}{87}\right\} | Solve for x: 10 to the power of 870 times x minus 8163 minus 6904 equals 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... |
\log{\left(e^{- 3940 x - 9717} + 1662 \right)} - 4221 = -4221 + \log{\left(9823 \right)} | x \in \left\{- \frac{9717}{3940} - \frac{\log{\left(8161 \right)}}{3940}\right\} | Solve for x: logarithm of exponential of -3940 times x minus 9717 plus 1662 minus 4221 equals -4221 plus logarithm of 9823. |
\frac{\log{\left(1794 x - 4431 \right)}}{\log{\left(10 \right)}} - 4813 = -5195 | x \in \left\{\frac{4431000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000... | Solve for x: logarithm of 10 to the power of -1 times logarithm of 1794 times x minus 4431 minus 4813 equals -5195. |
- 7067 x^{2} + 36804936 x - 8459540625 = -9476 | x \in \left\{241, 4967\right\} | Solve for x: -7067 times x squared plus 36804936 times x minus 8459540625 equals -9476. |
9513 x^{2} + 89612460 x + 211013555644 = -5156 | x \in \left\{-4760, -4660\right\} | Solve for x: 9513 times x squared plus 89612460 times x plus 211013555644 equals -5156. |
\cos{\left(2 x + 5548 \right)} - 5673 = - \frac{11345}{2} | x \in \left\{n \pi - 2774 + \frac{5299 \pi}{6}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{n \pi - 2774 + \frac{5303 \pi}{6}\; \middle|\; n \in \mathbb{Z}\right\} | Solve for x: cosine of 2 times x plus 5548 minus 5673 equals -11345 over 2. |
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