(20*b - 3)**2
Factor 2*m**3/5 - 56*m**2/5 - 178*m - 560.
2*(m - 40)*(m + 5)*(m + 7)/5
Factor j**2/4 + 1991*j/4 - 2991/2.
(j - 3)*(j + 1994)/4
Let -2*s**4 - 36*s**3 + 246*s**2 + 344*s - 552 = 0. Calculate s.
-23, -2, 1, 6
Determine q, given that q**2/2 - 1323*q/2 - 52425 = 0.
-75, 1398
Factor -2*p**3/3 + 40*p**2/3 + 466*p/3 - 168.
-2*(p - 28)*(p - 1)*(p + 9)/3
Determine y so that y**5/3 + 104*y**4 - 1582*y**3/3 + 956*y**2/3 + 527*y - 1268/3 = 0.
-317, -1, 1, 4
Factor -2*n**3 + 1256*n**2 - 33654*n + 32400.
-2*(n - 600)*(n - 27)*(n - 1)
Find r such that -3*r**2 + 293712*r - 7188894912 = 0.
48952
Factor 4*y**4 - 124*y**3 - 27384*y**2 + 110896*y - 111328.
4*(y - 98)*(y - 2)**2*(y + 71)
Factor g**2/7 - 863*g/7 + 10212/7.
(g - 851)*(g - 12)/7
Solve 2*o**2/13 - 428044*o/13 + 22902708242/13 = 0 for o.
107011
Let -11*i**3/10 - 752*i**2/5 - 2931*i/10 + 2223/5 = 0. Calculate i.
-1482/11, -3, 1
Factor 3*a**3 - 324*a**2 + 2340*a + 6000.
3*(a - 100)*(a - 10)*(a + 2)
Factor -2*g**2 + 31064*g - 62120.
-2*(g - 15530)*(g - 2)
Find o, given that 4*o**4 + 296*o**3 + 560*o**2 - 1184*o - 2304 = 0.
-72, -2, 2
Suppose -5*s**3 + 30720*s**2 - 122815*s + 92100 = 0. Calculate s.
1, 3, 6140
Find r, given that -3*r**5/2 - 84*r**4 - 1401*r**3 - 7716*r**2 - 18795*r/2 + 18600 = 0.
-31, -16, -5, 1
Factor -4*u**2 + 98336*u - 604373056.
-4*(u - 12292)**2
Let 3*b**4/8 - 12891*b**3/4 + 55366839*b**2/8 + 27702759*b/2 + 13854603/2 = 0. Calculate b.
-1, 4298
Suppose -1083*k**3 + 451839*k**2 - 95088*k + 5004 = 0. Calculate k.
2/19, 417
Find x such that 2*x**5/9 + 100*x**4/9 + 1240*x**3/9 - 100*x**2/9 - 138*x = 0.
-27, -23, -1, 0, 1
Solve 4*u**4/3 - 320*u**3/3 + 7288*u**2/3 - 10304*u - 126420 = 0 for u.
-5, 21, 43
Solve -3*o**3 - 449346*o**2 + 898701*o - 449352 = 0.
-149784, 1
Factor -a**2/3 + 1385*a/3 - 17836/3.
-(a - 1372)*(a - 13)/3
Solve -2*z**3 + 3202*z**2 + 12840*z = 0 for z.
-4, 0, 1605
Factor -w**3/8 + 535*w**2/4 + 1897*w.
-w*(w - 1084)*(w + 14)/8
Find i such that -3*i**5 + 792*i**4 + 3297*i**3 - 21822*i**2 + 30600*i - 12864 = 0.
-8, 1, 2, 268
Factor 3*y**4 - 507*y**3 - 1602*y**2 + 9288*y.
3*y*(y - 172)*(y - 3)*(y + 6)
Solve -v**3/6 - 1351*v**2/6 - 2693*v/2 - 4035/2 = 0.
-1345, -3
Solve -2*a**3/5 + 1712*a**2/5 + 5162*a/5 - 6872/5 = 0.
-4, 1, 859
Determine t so that -108*t**5 + 7998*t**4 - 8108*t**3 - 15638*t**2 + 1160*t + 584 = 0.
-1, -1/6, 2/9, 2, 73
Factor 2*s**2 + 6148*s + 73488.
2*(s + 12)*(s + 3062)
Let -21*o**3 - 132168*o**2 - 754524*o + 226368 = 0. What is o?
-6288, -6, 2/7
Solve f**3 + 1055*f**2 + 22847*f + 124993 = 0 for f.
-1033, -11
Determine w, given that -2*w**2 - 35828*w - 160455698 = 0.
-8957
Factor -2*z**2/3 + 9506*z/3.
-2*z*(z - 4753)/3
What is d in 2*d**5/5 + 9966*d**4/5 + 16553524*d**3/5 + 9165125596*d**2/5 - 16553526*d/5 - 9165135562/5 = 0?
-1661, -1, 1
Factor 12*s**2 + 50876*s - 16960.
4*(s + 4240)*(3*s - 1)
Let -g**3/9 - 12212*g**2/9 + 48860*g/9 - 16288/3 = 0. What is g?
-12216, 2
Factor 2*s**4/15 - 396*s**3/5 - 238*s**2/3.
2*s**2*(s - 595)*(s + 1)/15
Determine z so that 6*z**2/5 - 1684*z/5 + 558 = 0.
5/3, 279
Factor -2*t**2/23 - 408284*t/23 - 20836978082/23.
-2*(t + 102071)**2/23
Solve -7*x**5 - 419*x**4/5 - 682*x**3/5 + 92*x**2/5 + 24*x = 0 for x.
-10, -2, -2/5, 0, 3/7
Factor -36*b**3 - 2860*b**2 + 36*b + 2860.
-4*(b - 1)*(b + 1)*(9*b + 715)
Solve 12615*s**3/2 - 1181634*s**2 + 162894*s - 5616 = 0 for s.
2/29, 936/5
Solve 9*b**2 + 33*b - 276 = 0.
-23/3, 4
Factor d**3/5 - 43511*d**2/5 + 43508*d/5 + 17404.
(d - 43510)*(d - 2)*(d + 1)/5
Find i such that -2*i**5/7 + 500*i**4/7 + 5672*i**3/7 + 18220*i**2/7 + 13050*i/7 = 0.
-5, -1, 0, 261
Factor -24*b**3 + 2116*b**2 - 9404*b - 47904.
-4*(b - 8)*(b + 3)*(6*b - 499)
Determine j so that 3*j**4/4 + 99*j**3/4 + 717*j**2/4 - 819*j/4 = 0.
-21, -13, 0, 1
Let 27*c**5/5 - 29*c**4/2 + 5*c**3/2 + 27*c**2/2 - 79*c/10 + 1 = 0. Calculate c.
-1, 5/27, 1/2, 1, 2
Suppose -m**4/9 - 38*m**3/9 - 437*m**2/9 - 1360*m/9 = 0. Calculate m.
-17, -16, -5, 0
Suppose -j**3/7 - 650*j**2/7 + 14663*j/7 - 11616 = 0. What is j?
-672, 11
Let 20*x**3 + 701245*x**2 + 6146894530*x + 1536679805 = 0. What is x?
-17531, -1/4
Determine p so that -2*p**2/7 + 486676*p/7 - 29606691122/7 = 0.
121669
What is w in 9*w**3/2 + 2778*w**2 - 81851*w/8 + 75141/8 = 0?
-621, 11/6
Suppose -2*a**5 + 2086*a**4 - 76934*a**3 + 553578*a**2 + 3204432*a + 3545640 = 0. What is a?
-2, 21, 1005
Factor 3*z**2 + 9135*z - 18282.
3*(z - 2)*(z + 3047)
Factor -35025*o**3/2 - 7020*o**2 - 6*o.
-3*o*(5*o + 2)*(2335*o + 2)/2
Determine a so that -2*a**5 - 1152*a**4 - 4550*a**3 + 14880*a**2 + 4552*a - 13728 = 0.
-572, -6, -1, 1, 2
Suppose -u**4 + 18626*u**3 - 37248*u**2 = 0. What is u?
0, 2, 18624
Suppose 44*f**3/15 - 262*f**2/5 - 1868*f/15 - 16 = 0. What is f?
-2, -3/22, 20
Solve -25*k**3 - 595*k**2 - 2400*k + 3780 = 0 for k.
-18, -7, 6/5
Find i such that -45*i**2/4 - 4794395*i/2 - 532710 = 0.
-213084, -2/9
Determine z so that 2*z**4/3 - 16*z**3/3 - 590*z**2/3 - 572*z/3 = 0.
-13, -1, 0, 22
Let -5*i**5 + 260*i**4 + 4060*i**3 - 11680*i**2 - 161600*i + 512000 = 0. What is i?
-10, 4, 64
Factor -2*c**3 + 272*c**2 + 2750*c - 20300.
-2*(c - 145)*(c - 5)*(c + 14)
Factor 4*c**4/7 - 444*c**3 - 168912*c**2/7.
4*c**2*(c - 828)*(c + 51)/7
Solve 2*q**3 + 22*q**2 - 320*q + 800 = 0.
-20, 4, 5
Factor -5*f**4 + 125*f**3 - 515*f**2 + 255*f + 900.
-5*(f - 20)*(f - 3)**2*(f + 1)
Solve 2*q**3/9 - 20*q**2 - 938*q/9 - 380/3 = 0.
-3, -2, 95
Suppose -2*c**4 + 2182*c**3 - 4348*c**2 - 8728*c + 17424 = 0. Calculate c.
-2, 2, 1089
Factor 5*j**3 + 385*j**2 + 3780*j + 9900.
5*(j + 5)*(j + 6)*(j + 66)
What is r in r**3 + 5898*r**2 + 58905*r + 147200 = 0?
-5888, -5
What is q in q**3/4 - 9561*q**2/2 + 76440*q - 305696 = 0?
8, 19106
Solve -o**2/9 - 21916*o/9 - 372283/9 = 0 for o.
-21899, -17
Factor -5*t**3 - 690*t**2 - 26325*t - 169000.
-5*(t + 8)*(t + 65)**2
Factor -3*i**2/4 + 6795*i/2 + 1233273/4.
-3*(i - 4619)*(i + 89)/4
Find z such that 2*z**5/5 + 8*z**4/5 - 6*z**3 - 4*z**2 + 88*z/5 - 48/5 = 0.
-6, -2, 1, 2
Factor -i**3 - 1455*i**2 + 2913*i - 1457.
-(i - 1)**2*(i + 1457)
Factor -2*f**2/21 - 1574*f/21 - 195920/21.
-2*(f + 155)*(f + 632)/21
Find o such that 4*o**3/7 + 8*o**2/7 - 2732*o/7 - 10800/7 = 0.
-25, -4, 27
Factor 4*c**3 + 92*c**2 - 30100*c + 806164.
4*(c - 43)**2*(c + 109)
Find p such that -5*p**3 + 1645*p**2 - 127595*p - 1285245 = 0.
-9, 169
Suppose 3*g**2/4 + 47685*g + 190737/4 = 0. What is g?
-63579, -1
Determine t, given that -2*t**3/5 - 196952*t**2/5 - 787784*t/5 - 787776/5 = 0.
-98472, -2
Solve 4*d**2 + 820*d - 125256 = 0.
-307, 102
Factor -5*r**2 - 680820*r - 23175793620.
-5*(r + 68082)**2
Let -2*v**3/13 - 84*v**2/13 + 1190*v/13 + 1272/13 = 0. Calculate v.
-53, -1, 12
Suppose -y**3/6 + 48329*y**2/3 - 193313*y/6 + 48328/3 = 0. What is y?
1, 96656
Factor -2*k**2/3 - 1024*k/3 - 1022/3.
-2*(k + 1)*(k + 511)/3
Factor 28354*y**3/3 + 28360*y**2/3 + 2*y.
2*y*(y + 1)*(14177*y + 3)/3
Solve p**4/5 + 22*p**3 - 1757*p**2/5 - 2514*p/5 + 2232 = 0 for p.
-124, -3, 2, 15
Factor -4*h**2/3 + 114768*h.
-4*h*(h - 86076)/3
Solve 3*x**4 - 7*x**3 - 144*x**2 + 412*x + 336 = 0 for x.
-7, -2/3, 4, 6
Suppose -3*o**2/7 + 23229*o/7 - 3318 = 0. What is o?
1, 7742
Solve -49*p**2 + 13776798*p - 968368179249 = 0 for p.
984057/7
Factor d**2/3 - 252*d + 3755/3.
(d - 751)*(d - 5)/3
Find v, given that -4*v**4 + 306240*v**3 + 612500*v**2 - 306240*v - 612496 = 0.
-2, -1, 1, 76562
Factor 2*o**2/9 + 220*o/9.
2*o*(o + 110)/9
Factor -n**4 + 5386*n**3 - 7171009*n**2 - 218779320*n - 1649984400.
-(n - 2708)**2*(n + 15)**2
Let t**4/3 + 156*t**3 - 945*t**2 + 1422*t = 0. What is t?
-474, 0, 3
What is o in -4*o**5/9 - 4624*o**4 + 8*o**3/9 + 9248*o**2 - 4*o/9 - 4624 = 0?
-10404, -1, 1
Factor -h**3 + 1385*h**2 + 1386*h.
-h*(h - 1386)*(h + 1)
Solve u**5/5 - 191*u**4/5 - 3099*u**3/5 + 1399*u**2/5 + 18746*u = 0 for u.
-13, -7, 0, 5, 206
Solve -c**3 - 2687*c**2 + 2688*c = 0.
-2688, 0, 1
Determine h, given that -h**2 - 4664*h + 14001 = 0.
-4667, 3
Factor 2*p**3/3 - 30746*p**2 + 354570546*p - 5316252490/3.
2*(p - 23057)**2*(p - 5)/3
Determine f so that 2*f**3/15 + 1558*f**2/15 - 1262*f + 14238/5 = 0.
-791, 3, 9
Factor 2*p**4 + 2338*p**3 - 7026*p**2 + 7030*p - 2344.
2*(p - 1)**3*(p + 1172)
Factor 4*b**3/9 + 72*b**2 + 612*b.
4*b*(b + 9)*(b + 153)/9
Factor 4*o**3 