54727*c/2 + 23182095.
-(c - 3)*(c + 15454730)/2
Factor -5*i**2/6 - 64255*i/6 - 5716245.
-5*(i + 558)*(i + 12293)/6
Solve f**3/5 - 8793478*f**2/5 + 8793477*f/5 = 0.
0, 1, 8793477
Factor -4*i**2 - 39558880*i - 97806561678400.
-4*(i + 4944860)**2
Factor -x**3 + 1867*x**2/4 + 118*x - 2335/4.
-(x - 467)*(x - 1)*(4*x + 5)/4
Find d, given that -d**4 - 2397*d**3/2 - 170540*d**2 + 871323*d/2 + 260316 = 0.
-1033, -168, -1/2, 3
Determine k, given that 2*k**2 + 36678*k + 92797096 = 0.
-15308, -3031
Factor b**3 - 40618211*b**2 + 412459786519235*b - 412459745901025.
(b - 20309105)**2*(b - 1)
Factor 3*a**2/5 + 1143*a - 2831112/5.
3*(a - 408)*(a + 2313)/5
Factor 3*p**2/4 - 101511*p/4 + 11416302.
3*(p - 33381)*(p - 456)/4
Factor -r**2/2 + 35176529*r - 1237388192487841/2.
-(r - 35176529)**2/2
Determine v so that -3*v**2 + 1727376*v - 84634221 = 0.
49, 575743
Determine d, given that -d**3/5 - 43387*d**2/5 - 86762*d/5 + 69416 = 0.
-43385, -4, 2
Factor -3*z**3/2 - 2159067*z**2/2.
-3*z**2*(z + 719689)/2
Factor -3*y**4 + 136407*y**3 - 270716490*y**2 + 182725358772*y - 41323224558792.
-3*(y - 43423)*(y - 682)**3
Factor 81*z**2/2 + 351863*z - 8688.
(z + 8688)*(81*z - 2)/2
Factor 2*f**4 + 1059046*f**3 + 14826350*f**2 + 51891882*f.
2*f*(f + 7)**2*(f + 529509)
Solve 4*u**4 - 9640*u**3 + 67216*u**2 + 163368*u + 86508 = 0.
-1, 9, 2403
Suppose 2*u**2/9 - 622728 = 0. Calculate u.
-1674, 1674
Factor 605*w**3 - 805913020*w**2 - 293059340*w - 26641760.
5*(w - 1332088)*(11*w + 2)**2
Factor -3*s**2 - 10699995*s + 53500050.
-3*(s - 5)*(s + 3566670)
Factor -k**2 - 9161172*k - 20981768103396.
-(k + 4580586)**2
Determine z so that -3*z**2/2 + 61506*z + 1845855/2 = 0.
-15, 41019
Find n such that -18*n**5/11 - 356450*n**4/11 + 1148754*n**3/11 + 10798*n**2 - 1148736*n/11 + 237672/11 = 0.
-19806, -1, 2/9, 1, 3
Determine g, given that -1784*g**4/11 - 3419*g**3 + 168219*g**2/11 - 164480*g/11 - 14500/11 = 0.
-25, -145/1784, 2
Solve -2*p**2/11 + 3996*p - 13861120/11 = 0.
320, 21658
Factor -r**2/2 + 106731485*r - 11391609890305225/2.
-(r - 106731485)**2/2
Suppose -5*u**2 + 138905*u - 7763000 = 0. What is u?
56, 27725
Factor -d**2 - 4765*d + 182514.
-(d - 38)*(d + 4803)
Factor -11*u**2/2 + 8148445*u.
-u*(11*u - 16296890)/2
What is w in -2*w**2 - 125012*w - 10112850 = 0?
-62425, -81
What is h in 3*h**4 - 144*h**3 - 22905*h**2 + 610302*h + 49092120 = 0?
-60, -46, 77
Solve -o**2/7 - 73232*o/7 - 3366556/7 = 0 for o.
-73186, -46
Factor 3*c**3/4 + 753231*c**2/2 + 22596255*c/4.
3*c*(c + 15)*(c + 502139)/4
Factor 79202*m**3 - 20728238*m**2 + 1463033008*m - 13690664152.
2*(m - 11)*(199*m - 24946)**2
Factor 13*d**2 + 94165*d - 3077748.
(d + 7276)*(13*d - 423)
Let 4*v**3 + 1991400*v**2 - 1991412*v - 3982808 = 0. What is v?
-497851, -1, 2
Determine q, given that 2*q**4/9 + 33310*q**3/9 - 7406*q**2 - 433102*q/9 - 333140/9 = 0.
-16657, -2, -1, 5
Factor 3*y**4/2 + 1422*y**3 - 817047*y**2/2.
3*y**2*(y - 231)*(y + 1179)/2
Suppose -2*h**2 + 184298*h - 23373588 = 0. What is h?
127, 92022
Factor -3*y**3/8 - 612663*y**2/4 + 1225344*y - 2450700.
-3*(y - 4)**2*(y + 408450)/8
Factor 3*j**2/2 + 183412175*j + 122274783/2.
(j + 122274783)*(3*j + 1)/2
Suppose p**3/6 + 459797*p**2/6 + 919591*p/6 + 153265/2 = 0. Calculate p.
-459795, -1
Find j such that j**2 - 8018*j - 17059455 = 0.
-1747, 9765
Find p, given that 18*p**5/7 + 48891*p**4 + 5871093*p**3/7 + 25246887*p**2/7 + 22852353*p/7 + 3134340/7 = 0.
-18996, -11, -5, -1, -1/6
Factor 2*b**3/23 - 2531398*b**2/23 - 5062802*b/23 - 2531402/23.
2*(b - 1265701)*(b + 1)**2/23
Determine p, given that p**2/4 - 988335*p/2 + 976806072225/4 = 0.
988335
Determine w, given that 1700*w**3 + 59584*w**2 + 519740*w + 25536 = 0.
-19, -16, -21/425
Solve -2*h**5 - 6164*h**4 - 4767806*h**3 - 28403764*h**2 - 14131144*h + 47308880 = 0 for h.
-1538, -5, -2, 1
Let o**2/6 + 1944013*o/6 - 972007/3 = 0. What is o?
-1944014, 1
Factor 5*q**2 + 14680650*q - 14680655.
5*(q - 1)*(q + 2936131)
Suppose 2*r**3/19 - 404*r**2/19 - 84226*r/19 - 83820/19 = 0. What is r?
-127, -1, 330
Solve -2*l**5/7 - 200*l**4 + 198278*l**3/7 - 1876780*l**2/7 + 657600*l = 0 for l.
-822, 0, 5, 112
Solve -2*l**5 + 816*l**4 - 70510*l**3 - 161640*l**2 + 1530792*l - 1299456 = 0.
-6, 1, 3, 128, 282
Factor 4*u**2 + 20768*u - 354212.
4*(u - 17)*(u + 5209)
Factor -2*k**3/5 - 1165314*k**2/5 - 2330622*k/5 - 233062.
-2*(k + 1)**2*(k + 582655)/5
Let -2*x**4/17 + 4798*x**3 + 734208*x**2/17 + 1957984*x/17 + 1305344/17 = 0. Calculate x.
-4, -1, 40792
Suppose 5*z**5/4 + 5365*z**4/4 - 21645*z**3/4 - 113085*z**2/4 = 0. Calculate z.
-1077, -3, 0, 7
Factor -279032*q**3/3 - 837236*q**2/3 - 140*q.
-4*q*(q + 3)*(69758*q + 35)/3
Find b such that -60*b**3 + 52593*b**2 - 28881*b - 23652 = 0.
-9/20, 1, 876
Solve 5*s**3/2 + 80397285*s**2/2 - 160794600*s + 160794610 = 0 for s.
-16079461, 2
Find b, given that 3*b**2/7 + 6882*b/7 + 25272 = 0.
-2268, -26
Let 2*t**2/11 + 14216*t/11 + 241094/11 = 0. What is t?
-7091, -17
Factor t**2/4 - 89701*t/4 - 9801171/2.
(t - 89919)*(t + 218)/4
Factor -4*q**3 - 61424840*q**2 - 235813185564100*q.
-4*q*(q + 7678105)**2
Solve 2*g**3/5 - 115336*g**2/5 + 7603464*g/5 = 0 for g.
0, 66, 57602
What is d in -63558*d**5/5 - 234754896*d**4/5 + 314231632*d**3/15 - 35314624*d**2/15 + 59104*d/15 = 0?
-3694, 0, 2/1177, 2/9
Solve -3*k**3 + 4662*k**2 - 1640169*k - 15141330 = 0.
-9, 558, 1005
Factor 28*h**2 - 151958*h - 141128.
2*(h - 5428)*(14*h + 13)
Find k, given that 2*k**3/13 - 37202*k**2/13 - 707560*k/13 = 0.
-19, 0, 18620
Factor -100*g**3 - 962920*g**2 - 2110201856*g + 1022158176256.
-4*(g - 406)*(5*g + 25088)**2
Factor -2*h**2/13 + 28349608*h/13 - 100462534219208/13.
-2*(h - 7087402)**2/13
Find g, given that 2*g**3/9 - 15962*g**2/9 + 21265360*g/9 + 45304296800/9 = 0.
-1099, 4540
Determine d, given that 3*d**3/8 - 26493663*d**2/8 + 58492835016297*d/8 + 58492861509963/8 = 0.
-1, 4415611
Factor -t**2/9 - 3464*t/9 - 106423/9.
-(t + 31)*(t + 3433)/9
Let 2*w**2/5 - 2495904*w/5 - 104831496/5 = 0. Calculate w.
-42, 1247994
Factor -3*j**2 + 943536966*j - 74188500517373763.
-3*(j - 157256161)**2
Let -3*z**4 + 4680*z**3 - 287019*z**2 - 319818*z + 1750320 = 0. What is z?
-3, 2, 65, 1496
Solve -4*b**4/7 + 513696*b**3/7 - 10272228*b**2/7 - 11813336*b/7 + 3081696 = 0 for b.
-2, 1, 21, 128404
Solve 4*n**4/3 - 11812*n**3/3 - 47300*n**2/3 - 11828*n = 0.
-3, -1, 0, 2957
Suppose 5*o**4 - 47740*o**3 + 858115*o**2 - 3955280*o + 3144900 = 0. Calculate o.
1, 6, 11, 9530
Let -2*z**5 + 166744*z**4 - 3477611778*z**3 + 90299216916*z**2 + 125578084968*z - 11253420259920 = 0. What is z?
-10, 18, 41673
Determine q, given that 4*q**5 + 19436*q**4 + 16165864*q**3 + 4874544216*q**2 + 491341116564*q - 2580602081220 = 0.
-3901, -321, 5
What is u in -6*u**5/5 + 28604*u**4/5 - 2012694*u**3/5 + 13175936*u**2/5 + 981888*u - 24043520 = 0?
-8/3, 5, 64, 4696
What is o in 5*o**4 + 57580*o**3 + 862570*o**2 - 57580*o - 862575 = 0?
-11501, -15, -1, 1
Find w such that 4*w**4 + 4722*w**3 - 307054*w**2 + 4600248*w + 7607160 = 0.
-1243, -3/2, 30, 34
Factor 2*r**3 + 34504*r**2 - 172570*r.
2*r*(r - 5)*(r + 17257)
Factor -486*p**3 - 77619*p**2 - 54855*p.
-3*p*(p + 159)*(162*p + 115)
Find x, given that 6*x**5 + 1613*x**4 - 20285*x**3 + 63840*x**2 - 64036*x + 8992 = 0.
-281, 1/6, 2, 8
Solve 2*m**4/5 - 176214*m**3/5 + 9863386*m**2/5 - 29480058*m + 256756716/5 = 0.
2, 27, 88051
Determine u, given that u**3/4 + 625799*u**2 + 45057285*u/4 + 101378709/2 = 0.
-2503178, -9
What is b in 17521*b**3/3 - 69499*b**2/3 + 67744*b/3 + 780 = 0?
-585/17521, 2
What is m in 16854*m**5 - 858388*m**4/3 + 1545124*m**3 - 3276472*m**2 + 7155346*m/3 - 384492 = 0?
2/9, 1, 179/53, 9
Factor 4*n**2 + 84988868*n + 84988864.
4*(n + 1)*(n + 21247216)
Factor -2*k**3/5 - 109162*k**2/5 - 2619024*k/5 - 15712416/5.
-2*(k + 12)**2*(k + 54557)/5
Find q, given that 4*q**3 - 678068*q**2 - 16*q + 2712272 = 0.
-2, 2, 169517
Let -2*j**5 - 1978*j**4 - 44518*j**3 - 79166*j**2 + 44520*j + 81144 = 0. What is j?
-966, -21, -2, -1, 1
What is z in 6*z**4/11 - 156*z**3 + 115986*z**2/11 + 500604*z/11 - 614880/11 = 0?
-5, 1, 122, 168
What is f in 12*f**4 - 11948*f**3 + 7884*f**2 + 75596*f + 23880 = 0?
-2, -1/3, 3, 995
Let 5*a**5 + 1139405*a**4 + 64893383090*a**3 - 2142801275590*a**2 - 4480278142855*a - 2272584623575 = 0. What is a?
-113957