
Factor 2693*s**2/2 + 19287263*s/2 - 10743.
(s + 7162)*(2693*s - 3)/2
Factor 35*p**4/4 - 77084489*p**3/4 + 28295325558603*p**2/2 - 3462112016344313347*p - 98917497730379018.
(p - 734138)**3*(35*p + 1)/4
Let 40*v**3 + 6869646*v**2 + 28508366*v + 4121688 = 0. Calculate v.
-171737, -4, -3/20
Determine d so that 2*d**4 - 1726*d**3 + 358328*d**2 + 723576*d = 0.
-2, 0, 354, 511
Determine c, given that 26*c**4/3 - 91900*c**3 + 169638*c**2 - 190832*c/3 - 14136 = 0.
-2/13, 1, 10602
Suppose -x**3/3 - 708029*x**2/3 + 5664305*x/3 + 2124111 = 0. Calculate x.
-708037, -1, 9
Find b such that 14*b**5 - 8583648*b**4 + 1315712601440*b**3 - 4886830041900*b**2 + 2443399693106*b + 1127726330988 = 0.
-2/7, 1, 3, 306557
Solve -z**2/2 + 1039*z + 684852 = 0 for z.
-526, 2604
Determine j, given that 4*j**4 + 10948*j**3 + 7441692*j**2 - 67776772*j + 60324128 = 0.
-1373, 1, 8
Let 4*j**2 + 57204072*j + 204519115836324 = 0. What is j?
-7150509
Solve 3*p**3/5 + 3807*p**2/5 - 293022*p + 2853480 = 0.
-1580, 10, 301
Let 5*f**4 + 133940*f**3 - 30733260*f**2 + 1755499680*f = 0. What is f?
-27016, 0, 114
Solve 191*x**5/6 - 56917*x**4/3 + 16615235*x**3/6 + 51541442*x**2/3 + 69757954*x/3 + 724808/3 = 0 for x.
-4, -2, -2/191, 301
Factor 4*w**3/5 - 1904156*w**2 + 1028209248*w/5 - 27761334768/5.
4*(w - 2380087)*(w - 54)**2/5
Factor k**2/8 - 581273*k/2 + 34876155/8.
(k - 2325077)*(k - 15)/8
Factor 4*w**3 - 49580*w**2 - 7706468*w - 297612084.
4*(w - 12549)*(w + 77)**2
Suppose r**3/8 + 14925*r**2/4 + 447539*r/8 + 208845/4 = 0. What is r?
-29835, -14, -1
Let -4*a**5 + 2184*a**4 - 163392*a**3 - 353152*a**2 + 1342464*a = 0. What is a?
-4, 0, 2, 92, 456
Find s, given that 3*s**2/4 + 57*s/4 - 161733/2 = 0.
-338, 319
Solve y**5/2 + 8473*y**4/2 + 11673120*y**3 + 9591765500*y**2 - 2403483817000*y - 24982383915000 = 0 for y.
-2890, -10, 207
Factor -4*i**2 + 177191688*i - 177191684.
-4*(i - 44297921)*(i - 1)
Find m, given that 2*m**2/11 - 4010*m/11 - 16392 = 0.
-44, 2049
Suppose 660*q**5 + 287755*q**4 + 2802160*q**3 - 3114005*q**2 + 23430*q = 0. What is q?
-426, -11, 0, 1/132, 1
Suppose 10*q**3/9 + 1044784*q**2/3 - 278610*q - 626872/9 = 0. What is q?
-313436, -1/5, 1
Let l**3 + 890676*l**2 + 3562692*l + 3562688 = 0. Calculate l.
-890672, -2
Factor 2*i**2/7 - 29950*i/7 - 20475300/7.
2*(i - 15630)*(i + 655)/7
Determine y so that 5*y**3/3 - 21410*y**2/3 + 42725*y/3 + 107000 = 0.
-3, 5, 4280
Solve r**4 - 467*r**3 + 49849*r**2 + 1105407*r + 2007666 = 0.
-17, -2, 243
Factor 22*c**2 + 1776200*c + 645888.
2*(c + 80736)*(11*c + 4)
Suppose -2*p**4 - 9011624*p**3 + 27034884*p**2 - 27034888*p + 9011630 = 0. What is p?
-4505815, 1
Determine u so that 5*u**2 - 20025*u + 14266530 = 0.
927, 3078
Factor -2*w**2/19 - 515262*w/19 - 10304440/19.
-2*(w + 20)*(w + 257611)/19
Find s such that s**5/2 + 3217*s**4 + 128132*s**3 + 1612072*s**2 + 5010152*s - 17545136 = 0.
-6394, -14, 2
Determine q so that 2*q**2/11 - 483344*q/11 - 1933408/11 = 0.
-4, 241676
Solve -r**4 - 1813147*r**3 - 821921744148*r**2 - 41913198810512*r + 42735122367808 = 0 for r.
-906548, -52, 1
Determine x, given that x**4 + 984*x**3 + 170850*x**2 + 10845424*x + 235497429 = 0.
-783, -67
Find t, given that t**4 + 2518*t**3 + 480479*t**2 - 2518*t - 480480 = 0.
-2310, -208, -1, 1
Factor -3*l**2 - 723957438*l - 43676197669626987.
-3*(l + 120659573)**2
Factor -5*t**3 - 21180*t**2 + 425280*t - 1361920.
-5*(t - 16)*(t - 4)*(t + 4256)
What is u in u**5/3 - 459503*u**4/3 + 23459976710*u**3 - 3593036177986100*u**2/3 - 25154702020091000*u/3 = 0?
-7, 0, 153170
Suppose 2*i**2 + 20730*i - 436212 = 0. Calculate i.
-10386, 21
Find d, given that 5*d**3 - 262895*d**2 + 4730895*d - 21287205 = 0.
9, 52561
Suppose -z**3 - 161049*z**2 - 6484919760*z - 58351233600 = 0. What is z?
-80520, -9
Factor -3*s**2 + 13032*s - 1459005.
-3*(s - 4229)*(s - 115)
Factor -2*h**2/9 + 67700*h/9 + 338650/3.
-2*(h - 33865)*(h + 15)/9
Find o, given that 2*o**3 + 8246*o**2 + 245638*o + 237394 = 0.
-4093, -29, -1
Suppose 2*d**3/13 + 6732*d**2/13 - 101682*d/13 - 852012/13 = 0. What is d?
-3381, -6, 21
Let 2*x**4/5 - 59992*x**3/5 + 448436838*x**2/5 + 21660582328*x/5 + 21212085496/5 = 0. What is x?
-47, -1, 15022
What is a in a**5/2 + 14*a**4 - 109*a**3/2 - 254*a**2 - 186*a = 0?
-31, -2, -1, 0, 6
Let n**5/9 - 4506*n**4 - 144274*n**3 - 11607116*n**2/9 - 6493685*n/3 - 1014650 = 0. Calculate n.
-15, -1, 40586
Solve -4*f**2 + 2816488*f + 2816492 = 0 for f.
-1, 704123
What is z in -4*z**5 - 1018730*z**4 + 9678170*z**3 - 32091030*z**2 + 41260050*z - 13753368 = 0?
-254692, 1/2, 3
Solve 3*j**2/7 + 9399*j/7 + 6949956/7 = 0 for j.
-1937, -1196
Determine d so that 3*d**5/5 - 63819*d**4/5 + 1784571*d**3/5 + 191463*d**2/5 - 5481378*d/5 + 713832 = 0.
-2, 1, 28, 21245
What is r in -5*r**2 + 312769405*r + 312769410 = 0?
-1, 62553882
What is i in 2*i**5/9 + 8*i**4/3 - 740*i**3/9 + 640*i**2/3 + 82*i - 216 = 0?
-27, -1, 1, 3, 12
Solve -w**5/6 + 17*w**4/3 + 6373*w**3/6 + 3133*w**2/3 - 2112*w = 0 for w.
-64, -2, 0, 1, 99
Let -3*h**2/5 - 204630*h + 2046360 = 0. What is h?
-341060, 10
Factor -w**2/6 + 565*w/2 - 53874.
-(w - 1476)*(w - 219)/6
Determine c so that c**4/2 - 15056*c**3 + 114060702*c**2 - 10808581504*c - 22073526272 = 0.
-2, 98, 15008
Find l such that l**4 + 63033*l**3 + 994140143*l**2 + 26794089075*l - 27788292252 = 0.
-31503, -28, 1
Factor y**3/3 + 1307*y**2/3 + 122236*y - 749172.
(y - 6)*(y + 419)*(y + 894)/3
Find g, given that -17405*g**5 - 1023945*g**4 - 6598390*g**3 + 263297090*g**2 - 502616205*g + 246958855 = 0.
-2119/59, 1, 11
Suppose 4*r**2 - 884356*r + 82210512 = 0. Calculate r.
93, 220996
Let 2*k**2/9 - 808*k/9 + 9062 = 0. Calculate k.
197, 207
Determine o so that -2*o**2/3 + 63312376*o/3 + 21104126 = 0.
-1, 31656189
Find a, given that 16*a**5 - 19193*a**4 + 5673895*a**3 + 49348008*a**2 - 29550096*a = 0.
-9, 0, 9/16, 604
Factor 2*w**3 - 698*w**2 + 26840*w.
2*w*(w - 305)*(w - 44)
Suppose 1485588027*n**4 - 751707808698*n**3 + 95091139140471*n**2 - 17092713396*n + 768108 = 0. Calculate n.
2/22253, 253
What is m in -4*m**3 - 26580*m**2 + 6328032*m - 370147648 = 0?
-6877, 116
Factor -i**2/6 - 3523946*i - 18627293116374.
-(i + 10571838)**2/6
Let -77*x**3/2 - 219213*x**2/2 - 101030*x + 8538 = 0. Calculate x.
-2846, -1, 6/77
Let 3*x**3 + 363549*x**2 + 4362156*x = 0. What is x?
-121171, -12, 0
Suppose 2*r**5 - 69110*r**4 - 414718*r**3 - 483866*r**2 + 414716*r + 552976 = 0. What is r?
-4, -2, -1, 1, 34561
Factor 3*r**2/2 - 159*r - 396720.
3*(r - 570)*(r + 464)/2
Factor -2*n**2/5 + 22846*n + 3886132/5.
-2*(n - 57149)*(n + 34)/5
Factor -12*t**2 + 249868544*t - 166579024.
-4*(t - 20822378)*(3*t - 2)
Factor 4*k**3 + 22484724*k**2 + 31597664592396*k - 31597687077124.
4*(k - 1)*(k + 2810591)**2
Solve 2*s**5/7 + 9008*s**4/7 - 189800*s**3/7 + 1131124*s**2/7 - 571770*s/7 - 7330500/7 = 0.
-4525, -2, 5, 9
Solve -99*b**5 + 1488*b**4 - 1332*b**3 - 1446*b**2 + 1431*b - 42 = 0 for b.
-1, 1/33, 1, 14
Solve -1250*r**3/3 + 324850*r**2/3 - 18458192*r/3 - 118060960 = 0.
-15, 3436/25
Suppose -u**4 + 1726*u**3 + 63000*u**2 + 759456*u + 3044736 = 0. What is u?
-12, 1762
Factor -j**3/4 - 55325*j**2/4 - 203125378*j - 321803029428.
-(j + 1797)*(j + 26764)**2/4
Factor -i**3/4 + 1689*i**2/4 + 18941*i/2 - 102660.
-(i - 1711)*(i - 8)*(i + 30)/4
Let 3*l**5/4 + 39657*l**4/2 + 99126*l**3 + 118935*l**2/2 - 713691*l/4 = 0. What is l?
-26433, -3, 0, 1
Factor 2*w**3/3 + 510*w**2 + 28588*w - 87296/3.
2*(w - 1)*(w + 62)*(w + 704)/3
Find f, given that -3*f**3/4 + 11253*f**2/2 + 428643*f/4 + 203067/2 = 0.
-18, -1, 7521
Let 5*m**2/4 + 16580175*m/2 + 54980440606125/4 = 0. What is m?
-3316035
Factor 2*r**3/3 + 22883728*r**2/3 + 65458171664680*r/3 + 261832320519200/3.
2*(r + 4)*(r + 5720930)**2/3
Factor -3*k**2/7 + 598140*k/7 - 2990625/7.
-3*(k - 199375)*(k - 5)/7
Factor -d**2/10 - 988*d/5 - 462984/5.
-(d + 764)*(d + 1212)/10
Factor 35*t**2 + 56480490*t + 16137280.
5*(t + 1613728)*(7*t + 2)
Factor 4*q**2 - 21796*q + 29133592.
4*(q - 3098)*(q - 2351)
Determine v so that -2*v**2/11 - 4336*v + 811410/11 = 0.
-23865, 17
Suppose 2*k**3 + 24658*k**2 + 86218398*k + 60692362830 = 0. Calculate k.
-5697, -935
Solve 5*u**3/2 - 872315*u**2 - 15702400*u - 27915520 = 0 for u.
-16, -2, 348944
Solve t**5/6 - 553*t**4 + 2300833*t**3/6 + 130181086*t**2 - 3179141992*t/3