0.
0, 2, 3, 4
Factor 3*c**4 - 117*c**3 + 1620*c**2 - 9072*c + 15552.
3*(c - 12)**3*(c - 3)
What is w in -w**4/7 + 93*w**3/7 + 285*w**2/7 + 41*w + 96/7 = 0?
-1, 96
Determine y so that 5*y**4 - 85*y**2 - 180*y - 100 = 0.
-2, -1, 5
Determine h so that 2*h**5 + h**4 - 7*h**3 + h**2 + 5*h - 2 = 0.
-2, -1, 1/2, 1
Factor 9*o**4 - 21*o**3 - 21*o**2 + 9*o.
3*o*(o - 3)*(o + 1)*(3*o - 1)
Let -2*h**4/5 + 38*h**3/5 = 0. What is h?
0, 19
Factor -4*q**2 + 296*q - 5476.
-4*(q - 37)**2
Let -2*f**3 + 10*f**2 + 66*f + 54 = 0. What is f?
-3, -1, 9
Determine n, given that -3*n**5/8 - 3*n**4 + 3*n**3 + 36*n**2 - 54*n = 0.
-6, 0, 2
Let -2*l**4/7 - 8*l**3/7 + 42*l**2 + 2540*l/7 + 800 = 0. What is l?
-8, -5, 14
What is d in 8*d**4/9 - 2*d**3/3 - 8*d**2/9 + 2*d/3 = 0?
-1, 0, 3/4, 1
Factor 2*j**4 + 76*j**3 + 262*j**2 - 340*j.
2*j*(j - 1)*(j + 5)*(j + 34)
What is j in -5*j**4 - 835*j**3 - 10185*j**2 - 26705*j + 37730 = 0?
-154, -7, 1
Factor -2*a**2 + 1044*a - 136242.
-2*(a - 261)**2
Find b such that b**2 - 43*b - 188 = 0.
-4, 47
Factor 2*i**2/15 + 24956*i/15 + 77850242/15.
2*(i + 6239)**2/15
Suppose 5*l**4 + 10*l**3 - 15*l**2 - 20*l + 20 = 0. Calculate l.
-2, 1
Let -2*o**5/9 + 2*o**3/3 - 4*o**2/9 = 0. Calculate o.
-2, 0, 1
Determine x so that 2*x**2/5 - 4*x - 48/5 = 0.
-2, 12
Determine s so that 2*s**3 + 30*s**2 + 24*s - 56 = 0.
-14, -2, 1
Factor -5*s**2 - 1880*s.
-5*s*(s + 376)
Solve -2*v**3/3 + 30*v**2 - 256*v/3 + 56 = 0 for v.
1, 2, 42
Factor 2*v**2/11 - 640*v/11 + 51200/11.
2*(v - 160)**2/11
Let -5*r**4 - 10*r**3 + 5*r**2 + 10*r = 0. What is r?
-2, -1, 0, 1
Solve 2*u**4 + 244*u**3 - 496*u**2 = 0 for u.
-124, 0, 2
Find l such that -l**4/4 + 5*l**3/2 - 6*l**2 - 5*l/2 + 25/4 = 0.
-1, 1, 5
Solve 2*a**5/5 - 6*a**4/5 + 8*a**2/5 = 0 for a.
-1, 0, 2
Factor 2*r**5 + 22*r**4 + 84*r**3 + 128*r**2 + 64*r.
2*r*(r + 1)*(r + 2)*(r + 4)**2
Let 2*w**5/7 - 4*w**4/7 - 310*w**3/7 - 1128*w**2/7 - 1080*w/7 = 0. Calculate w.
-9, -2, 0, 15
What is u in -u**2/4 + 7*u/4 = 0?
0, 7
Let -r**4/2 - r**3/2 + 2*r**2 + 2*r = 0. Calculate r.
-2, -1, 0, 2
Find t, given that t**3 + 8*t**2 - 64*t - 512 = 0.
-8, 8
Suppose -260*m**2 + 1564*m - 24 = 0. What is m?
1/65, 6
Factor -z**2 + 128*z - 4096.
-(z - 64)**2
Factor h**3/8 + 23*h**2/4 - 47*h/8.
h*(h - 1)*(h + 47)/8
Factor 2*c**3 - 268*c**2.
2*c**2*(c - 134)
Factor -4*y**4/7 - 8*y**3 - 96*y**2/7.
-4*y**2*(y + 2)*(y + 12)/7
Factor -8*w**2 + 4*w + 84.
-4*(w + 3)*(2*w - 7)
Find j such that 2*j**2/7 + 202*j/7 + 200/7 = 0.
-100, -1
Factor 3*y**4 + 117*y**3 + 1389*y**2 + 4743*y + 3468.
3*(y + 1)*(y + 4)*(y + 17)**2
Factor -4*z**2 + 16392*z - 16793604.
-4*(z - 2049)**2
Solve -567*t**3/8 + 765*t**2/4 + 519*t/8 - 9/4 = 0.
-1/3, 2/63, 3
Factor -4*f**3/3 - 300*f**2 + 904*f/3.
-4*f*(f - 1)*(f + 226)/3
Find f, given that -25*f**5 - 735*f**4 - 990*f**3 - 280*f**2 = 0.
-28, -1, -2/5, 0
Factor 3*y**2 + 1716*y + 245388.
3*(y + 286)**2
Factor -2*d**5/23 + 1330*d**4/23.
-2*d**4*(d - 665)/23
Find d such that -21*d**4 - 183*d**3 + 1398*d**2 - 2148*d + 504 = 0.
-14, 2/7, 2, 3
Solve -a**4/2 + 814*a**3 - 331298*a**2 = 0 for a.
0, 814
Factor i**2/3 + 7*i/3 + 4.
(i + 3)*(i + 4)/3
Factor -o**5 + 2*o**4 + 2*o**3 - 4*o**2 - o + 2.
-(o - 2)*(o - 1)**2*(o + 1)**2
Factor y**2/6 - 19*y/3 + 52.
(y - 26)*(y - 12)/6
Factor -6*i**2/7 - 702*i/7.
-6*i*(i + 117)/7
Determine k, given that 4*k**5/7 - 80*k**4/7 + 564*k**3/7 - 216*k**2 + 432*k/7 + 2592/7 = 0.
-1, 3, 6
Factor 2*j**3 + 24*j**2 + 42*j + 20.
2*(j + 1)**2*(j + 10)
Suppose 3*d**5/4 + 33*d**4/4 + 75*d**3/4 + 15*d**2/4 - 39*d/2 - 12 = 0. What is d?
-8, -2, -1, 1
Factor -2*v**3 + 24*v**2 - 72*v + 64.
-2*(v - 8)*(v - 2)**2
Factor 7*b**3/5 - 229*b**2/5 + 1334*b/5 + 80.
(b - 25)*(b - 8)*(7*b + 2)/5
Solve -2*i**4 - 40*i**3 + 482*i**2 - 1136*i + 696 = 0.
-29, 1, 2, 6
Factor 3*o**2 + 108*o + 297.
3*(o + 3)*(o + 33)
Suppose o**4 - 15*o**3 - 54*o**2 + 864*o + 2592 = 0. Calculate o.
-6, -3, 12
Find t such that t**3/8 - 11*t**2/2 - 23*t/2 = 0.
-2, 0, 46
Factor 4*l**4/9 - 124*l**3/9 + 952*l**2/9.
4*l**2*(l - 17)*(l - 14)/9
Determine o, given that -20*o**4 - 36*o**3 + 12*o**2 + 52*o + 24 = 0.
-1, 6/5
Factor 2*v**2/9 + 38*v/3 + 112/9.
2*(v + 1)*(v + 56)/9
Find i such that -i**5/3 - 53*i**4/3 + 113*i**3/3 + 157*i**2/3 - 436*i/3 + 220/3 = 0.
-55, -2, 1, 2
Determine x, given that -x**4 - 154*x**3 - 6081*x**2 - 11704*x - 5776 = 0.
-76, -1
Determine j so that -3*j**4/5 - 33*j**3/5 - 108*j**2/5 - 48*j/5 + 192/5 = 0.
-4, 1
Factor 6*p**2 - 2*p - 20.
2*(p - 2)*(3*p + 5)
Factor -5*d**4 - 855*d**3 - 36975*d**2 - 36125*d.
-5*d*(d + 1)*(d + 85)**2
What is w in w**2/3 - 43*w/3 + 52 = 0?
4, 39
Let -24*n**5 - 884*n**4 - 7484*n**3 - 19368*n**2 - 14032*n + 2912 = 0. Calculate n.
-26, -7, -2, 1/6
Factor 32*k**2/9 - 58384*k/9 + 26630402/9.
2*(4*k - 3649)**2/9
Factor 2*r**2 - 56*r + 54.
2*(r - 27)*(r - 1)
Solve t**5/3 - t**4 + t**3/3 + t**2 - 2*t/3 = 0.
-1, 0, 1, 2
Let k**3/4 + 9669*k**2/4 + 31163187*k/4 + 33479650567/4 = 0. What is k?
-3223
Find u such that -3*u**5/5 - 3*u**4/5 + 84*u**3/5 - 96*u**2/5 - 288*u/5 + 432/5 = 0.
-6, -2, 2, 3
Factor 3*r**4 + 312*r**3/5 - 63*r**2/5.
3*r**2*(r + 21)*(5*r - 1)/5
What is d in -8*d**5/11 - 74*d**4/11 - 234*d**3/11 - 270*d**2/11 - 54*d/11 = 0?
-3, -1/4, 0
Factor 14*t**5 + 38*t**4 - 12*t**3.
2*t**3*(t + 3)*(7*t - 2)
Factor 2*g**3/3 + 34*g**2/15 - 88*g/15 - 8/3.
2*(g - 2)*(g + 5)*(5*g + 2)/15
Find b such that 4*b**5 + 4*b**4 - 56*b**3 - 24*b**2 + 180*b - 108 = 0.
-3, 1, 3
Determine j, given that 2*j**3/7 - 30*j**2/7 + 96*j/7 - 88/7 = 0.
2, 11
Find d, given that -2*d**2 + 74*d/3 - 88/3 = 0.
4/3, 11
Factor 2*p**3/5 - 18*p**2/5 + 8*p.
2*p*(p - 5)*(p - 4)/5
Let u**3/2 + 71*u**2 + 281*u/2 + 70 = 0. What is u?
-140, -1
Factor 3*a**2 + 57*a.
3*a*(a + 19)
Determine u, given that -4*u**4 - 80*u**3 + 264*u**2 - 272*u + 92 = 0.
-23, 1
Factor -2*g**2/5 - 58*g/5.
-2*g*(g + 29)/5
Solve -5*i**4 + 8*i**3 + 15*i**2/4 - 29*i/4 + 2 = 0 for i.
-1, 1/2, 8/5
Find a such that 5*a**4/2 - 65*a**2/2 + 30*a = 0.
-4, 0, 1, 3
Factor 2*q**4 + 18*q**3 + 36*q**2.
2*q**2*(q + 3)*(q + 6)
Let -18*o**4 + 26*o**3 + 452*o**2 + 240*o = 0. What is o?
-4, -5/9, 0, 6
Factor 2*m**4 - 20*m**3 - 22*m**2.
2*m**2*(m - 11)*(m + 1)
Factor 4*p**4 + 172*p**3 + 1320*p**2.
4*p**2*(p + 10)*(p + 33)
Factor -5*q**5/6 + 2000*q**4/3 - 132665*q**3 - 802000*q**2/3 - 804005*q/6.
-5*q*(q - 401)**2*(q + 1)**2/6
Suppose -10*w**5/3 - 98*w**4/3 - 456*w**3/5 - 1472*w**2/15 - 128*w/3 - 32/5 = 0. What is w?
-6, -2, -1, -2/5
What is x in x**2/8 + 27*x = 0?
-216, 0
Find w such that 5*w**4/4 - 37*w**3 + 775*w**2/4 - 89*w - 69 = 0.
-2/5, 1, 6, 23
Factor 2*m**3 + 160*m**2 + 3200*m.
2*m*(m + 40)**2
Factor -12*a**3 - 9*a**2 + 3*a.
-3*a*(a + 1)*(4*a - 1)
Factor 4*d**3 - 200*d**2 - 1084*d - 880.
4*(d - 55)*(d + 1)*(d + 4)
Solve -5*a**5 + 81*a**4 - 481*a**3 + 1263*a**2 - 1314*a + 216 = 0.
1/5, 3, 4, 6
Let -11*t**2/2 - 12*t - 2 = 0. What is t?
-2, -2/11
Suppose u**2/6 - 131*u/3 + 87/2 = 0. What is u?
1, 261
Solve 49*q**4 - 2051*q**3/9 - 790*q**2/9 + 92*q/9 + 40/9 = 0 for q.
-2/7, 2/9, 5
Factor -j**2/2 + 3*j - 4.
-(j - 4)*(j - 2)/2
Factor 16*r**2/5 + 172*r/5.
4*r*(4*r + 43)/5
Find a, given that a**2/3 + 178*a/3 + 59 = 0.
-177, -1
Factor -j**2/2 - 833*j/4 + 627/2.
-(j + 418)*(2*j - 3)/4
Solve 2*h**3/15 - 4*h**2/5 - 6*h/5 + 28/15 = 0 for h.
-2, 1, 7
Solve -g**3/3 + 37*g**2/3 + g/3 - 37/3 = 0.
-1, 1, 37
Solve 125*w**5 + 16850*w**4 + 574545*w**3 + 451580*w**2 + 89780*w = 0.
-67, -2/5, 0
Let -3*j**5 - 15*j**4 + 120*j**2 + 240*j + 144 = 0. What is j?
-2, 3
Let 3*o**5 + 21*o**4 + 24*o**3 - 48*o**2 = 0. Calculate o.
-4, 0, 1
Factor -4*m**4 + 4*m**3 + 72*m**2 - 208*m + 160.
-4*(m - 2)**3*(m + 5)
Solve -15*u**5 + 475*u**4 - 1615*u**3 + 2145*u**2 - 1270*u + 280 = 0.
2/3, 1, 28
Solve 722*m**2 + 4*m = 0 for m.
-2/361, 0
Determine w so that w**2/10 - 71*w/10 = 0.
0, 71
Factor 4*j**3 + 5896*j**2 - 11804*j + 5904.
4*(j - 1)**2*(j + 1476)
Factor -35*d**3/2 + 209*d**2/2 - 169*d/2 - 5/2.
-(d - 5)*(d - 1)*(35*d + 1)/2
Find t, given that 2*t**3/13 - 38*t**2/13 + 120*t/13 = 0.
0, 4, 15
Factor 2*b**3/15 - 28*b**2/15 + 26*b/15.
2*b*(b - 13)*(b - 1)/15
Determine r, given that 3*r**2 - 75*r = 0.
0, 25
Determine k, given that -k**3/4 - 23*k**2/4 + k + 23 = 0.
-23, -2, 2
Factor -3*x**2 + 654*x + 657.
-3*(x - 219)*(x + 1)
Factor k**3 + 6*k