
Factor 2*a**4/3 - 2*a**2 - 4*a/3.
2*a*(a - 2)*(a + 1)**2/3
Find f such that 2*f**2/3 + 14*f/3 - 16/3 = 0.
-8, 1
Factor -z**3/2 + 7*z**2 - 61*z/2 + 42.
-(z - 7)*(z - 4)*(z - 3)/2
What is y in 4*y**4 - 8*y**3 - 16*y**2 + 32*y = 0?
-2, 0, 2
Factor -v**2 - 16*v - 15.
-(v + 1)*(v + 15)
Suppose u**3/6 - 5*u**2/6 - 4*u/3 + 8 = 0. Calculate u.
-3, 4
Let 245*d**3 - 420*d**2 - 135*d - 10 = 0. What is d?
-1/7, 2
Determine v, given that v**5/3 + 2*v**4 + 5*v**3/3 - 20*v**2/3 - 12*v - 16/3 = 0.
-4, -2, -1, 2
Suppose -2*m**2 + 16*m - 24 = 0. What is m?
2, 6
Factor 5*z**4 - 5*z**3 - 5*z**2 + 5*z.
5*z*(z - 1)**2*(z + 1)
Factor w**5 + 5*w**4 - 17*w**3 - 17*w**2 + 32*w + 28.
(w - 2)**2*(w + 1)**2*(w + 7)
Factor 2*u**3/7 - 1300*u**2/7 + 2592*u/7.
2*u*(u - 648)*(u - 2)/7
Factor -3*b**2/5 + 1032*b/5 - 3069/5.
-3*(b - 341)*(b - 3)/5
Factor 4*t**5 + 44*t**4 + 40*t**3 - 424*t**2 + 532*t - 196.
4*(t - 1)**3*(t + 7)**2
Determine x, given that x**2 - 20*x - 21 = 0.
-1, 21
Suppose 4*o**2/7 - 380*o/7 - 1584/7 = 0. What is o?
-4, 99
Factor -4*a**3 + 2896*a**2 - 524176*a.
-4*a*(a - 362)**2
Suppose -2*v**3/3 - 28*v**2/3 + 730*v/3 + 252 = 0. What is v?
-27, -1, 14
Suppose 4*r**3 - 76*r**2 + 280*r = 0. What is r?
0, 5, 14
Find q, given that 20*q**3 - 12*q**2 - 8*q = 0.
-2/5, 0, 1
Factor -k**2/3 - 58*k/3 + 59/3.
-(k - 1)*(k + 59)/3
Factor 2*s**3/13 + 88*s**2/13 - 282*s/13.
2*s*(s - 3)*(s + 47)/13
What is n in -4*n**2 + 384*n = 0?
0, 96
Let 5*d**5/2 - 10*d**3 + 5*d**2 + 15*d/2 - 5 = 0. Calculate d.
-2, -1, 1
Factor -3*z**2 + 1482*z - 1479.
-3*(z - 493)*(z - 1)
Suppose 2*q**3/5 + 6*q**2 + 78*q/5 - 22 = 0. What is q?
-11, -5, 1
Find p such that 14*p**2/3 + 204*p - 176/3 = 0.
-44, 2/7
Factor t**4 + 4*t**3 - 45*t**2 - 108*t + 540.
(t - 5)*(t - 3)*(t + 6)**2
Factor u**4/9 - 2*u**3/9 - 8*u**2/9 + 2*u - 1.
(u - 3)*(u - 1)**2*(u + 3)/9
Factor -5*a**3 - 1540*a**2.
-5*a**2*(a + 308)
Find j such that -j**5/3 - 23*j**4/3 + 57*j**3 + 3995*j**2/3 - 12806*j/3 + 2888 = 0.
-19, 1, 2, 12
Factor -s**3/3 + 14*s**2/3 + 4*s/3 - 56/3.
-(s - 14)*(s - 2)*(s + 2)/3
Factor 52*t**3 - 4*t**2.
4*t**2*(13*t - 1)
Find g such that -125*g**4 + 10*g**3 = 0.
0, 2/25
Factor -y**3/2 + 23*y**2.
-y**2*(y - 46)/2
Suppose 2*n**4/3 + 46*n**3/21 + 4*n**2/7 = 0. Calculate n.
-3, -2/7, 0
Let 3*t**3/8 + 3*t**2/4 - 21*t/8 + 3/2 = 0. What is t?
-4, 1
Suppose 2025*g**4 + 15237*g**3 + 7606*g**2 + 1212*g + 56 = 0. What is g?
-7, -2/9, -2/25
Solve i**4/5 - 4*i**3/5 + 3*i**2/5 + 4*i/5 - 4/5 = 0 for i.
-1, 1, 2
Factor -q**4 - 83*q**3 + q**2 + 83*q.
-q*(q - 1)*(q + 1)*(q + 83)
Factor -5*j**4 - 110*j**3 - 205*j**2 - 100*j.
-5*j*(j + 1)**2*(j + 20)
What is s in -3*s**5 + 15*s**4 + 63*s**3 - 159*s**2 + 84*s = 0?
-4, 0, 1, 7
Factor -b**2/3 + 128*b/3 - 4096/3.
-(b - 64)**2/3
Factor i**2/4 + 53*i/4 - 55/2.
(i - 2)*(i + 55)/4
Factor -m**3/3 - 32*m**2/3 - 209*m/3 + 242/3.
-(m - 1)*(m + 11)*(m + 22)/3
Find g such that -4*g**5 - 156*g**4 - 296*g**3 + 8*g**2 + 300*g + 148 = 0.
-37, -1, 1
Determine p so that -5*p**2 - 95*p + 100 = 0.
-20, 1
Let 6*r**5 - 220*r**4 + 1096*r**3 - 1308*r**2 + 178*r + 248 = 0. Calculate r.
-1/3, 1, 4, 31
Factor -4*m**2/9 + 404*m/9 + 824/9.
-4*(m - 103)*(m + 2)/9
Factor 3*q**4/2 - 33*q**3 + 123*q**2/2 - 30*q.
3*q*(q - 20)*(q - 1)**2/2
Factor 2*z**5/11 - 12*z**4/11 + 26*z**3/11 - 24*z**2/11 + 8*z/11.
2*z*(z - 2)**2*(z - 1)**2/11
Factor 2*i**5/9 - 728*i**4/9 + 21838*i**3/3 + 14884*i**2.
2*i**2*(i - 183)**2*(i + 2)/9
Factor -2*v**4 + 86*v**2 - 84*v.
-2*v*(v - 6)*(v - 1)*(v + 7)
Suppose -3*k**4 - 3*k**3 + 18*k**2 + 12*k - 24 = 0. Calculate k.
-2, 1, 2
Factor 58*b**2/7 - 65*b/7 + 18/7.
(2*b - 1)*(29*b - 18)/7
Factor 25*a**3 - 290*a**2 - 445*a - 130.
5*(a - 13)*(a + 1)*(5*a + 2)
Factor 2*o**3 - 542*o**2 - 544*o.
2*o*(o - 272)*(o + 1)
Factor 3*i**3/5 - 168*i**2/5.
3*i**2*(i - 56)/5
Let 4*t**5 - 408*t**4 - 1672*t**3 - 2528*t**2 - 1692*t - 424 = 0. What is t?
-1, 106
Factor 5*t**4 - 1845*t**3 - 1855*t**2 + 1845*t + 1850.
5*(t - 370)*(t - 1)*(t + 1)**2
Factor 3*j**3/4 - 1671*j**2/4 + 231849*j/4 + 233523/4.
3*(j - 279)**2*(j + 1)/4
Factor f**3/4 - f**2/2 - 9*f/4 + 9/2.
(f - 3)*(f - 2)*(f + 3)/4
Let -44*i**5/9 + 4*i**4 + 32*i**3/3 + 16*i**2/9 = 0. What is i?
-1, -2/11, 0, 2
Solve -2*n**3/5 - 6*n**2 - 72*n/5 = 0 for n.
-12, -3, 0
Factor 2*p**2 + 3752*p - 3754.
2*(p - 1)*(p + 1877)
Factor 3*a**2 + 108*a + 825.
3*(a + 11)*(a + 25)
Factor -2*u**3/7 - 922*u**2/7 - 14368*u/7 - 56960/7.
-2*(u + 8)**2*(u + 445)/7
Suppose -3*s**5 + 78*s**4 - 315*s**3 - 2700*s**2 = 0. What is s?
-4, 0, 15
Determine j so that -2*j**5/9 - 38*j**4/9 - 196*j**3/9 - 124*j**2/9 + 22*j + 18 = 0.
-9, -1, 1
Factor 3*b**2 - 33*b + 30.
3*(b - 10)*(b - 1)
Find g such that 2*g**3 + 84*g**2/5 + 192*g/5 + 64/5 = 0.
-4, -2/5
Let 3*o**2 + 63*o - 66 = 0. What is o?
-22, 1
Factor t**3/4 - 2*t**2 - t/4 + 2.
(t - 8)*(t - 1)*(t + 1)/4
Factor 2*b**4/3 + 16*b**3/3 + 34*b**2/3 + 20*b/3.
2*b*(b + 1)*(b + 2)*(b + 5)/3
Factor -2*n**5/3 + 4*n**4/3 + 2*n**3.
-2*n**3*(n - 3)*(n + 1)/3
Find h, given that 366054*h**5 - 1100138*h**4 + 17792*h**3/3 - 8*h**2 = 0.
0, 2/741, 3
What is w in -2*w**5 + 3*w**4/2 + 5*w**3/2 - 3*w**2/2 - w/2 = 0?
-1, -1/4, 0, 1
Solve -h**3/7 + 11*h**2/7 + h/7 - 11/7 = 0 for h.
-1, 1, 11
Factor 3*c**4 + 108*c**3 + 858*c**2 - 2052*c + 1083.
3*(c - 1)**2*(c + 19)**2
Factor -w**3 + 32*w**2 - 161*w + 130.
-(w - 26)*(w - 5)*(w - 1)
Find f, given that 3*f**2/7 + 171*f/7 + 636/7 = 0.
-53, -4
Factor -3*z**3 - 42*z**2 + 147*z - 102.
-3*(z - 2)*(z - 1)*(z + 17)
Factor 3*g**5 + 3270*g**4 + 900840*g**3 + 5326800*g**2 + 10601520*g + 7050336.
3*(g + 2)**3*(g + 542)**2
Determine v so that -2*v**3 - 234*v**2 - 9126*v - 118638 = 0.
-39
Determine y, given that -5*y**3/2 + 285*y**2 = 0.
0, 114
Factor 4*x**4 - 72*x**3 + 464*x**2 - 1248*x + 1152.
4*(x - 6)**2*(x - 4)*(x - 2)
Find c such that -2*c**2/7 + 2*c + 88/7 = 0.
-4, 11
Determine o so that -o**5/5 + 2*o**4/5 + 21*o**3 + 442*o**2/5 + 652*o/5 + 312/5 = 0.
-6, -2, -1, 13
Determine h so that 6*h**4 - 74*h**3 + 234*h**2 - 70*h = 0.
0, 1/3, 5, 7
Factor -2*u**2/3 - 4*u/3 + 16.
-2*(u - 4)*(u + 6)/3
Factor u**4 - 4*u**3 - 5*u**2 + 36*u - 36.
(u - 3)*(u - 2)**2*(u + 3)
Let 4*k**5 - 172*k**4 + 2460*k**3 - 11700*k**2 = 0. What is k?
0, 13, 15
Factor 2*z**2/11 + 80*z/11 + 800/11.
2*(z + 20)**2/11
Determine q, given that 4*q**2/5 + 68*q/5 - 88 = 0.
-22, 5
Factor -5*s**2/4 - 85*s/2 + 175/4.
-5*(s - 1)*(s + 35)/4
Find y such that -y**2 - 749*y + 750 = 0.
-750, 1
Suppose -36*w**5 + 1288*w**4 - 6516*w**3 + 8208*w**2 + 2160*w = 0. Calculate w.
-2/9, 0, 3, 30
Solve -3*f**2 + 6552*f - 3577392 = 0.
1092
Find v such that -v**3/3 + 181*v**2/3 - 8099*v/3 - 8281/3 = 0.
-1, 91
Find w such that w**2/9 - 18*w + 729 = 0.
81
Factor -10*q**3 + 45*q**2 - 15*q - 20.
-5*(q - 4)*(q - 1)*(2*q + 1)
Factor -20*y**2 - 12*y + 104.
-4*(y - 2)*(5*y + 13)
Find h such that -2*h**5 - 44*h**4 - 314*h**3 - 1008*h**2 - 1512*h - 864 = 0.
-12, -3, -2
Suppose -245*i**5/3 - 847*i**4/3 + 718*i**3/3 + 584*i**2/3 - 608*i/3 + 128/3 = 0. Calculate i.
-4, -1, 2/5, 4/7
Factor 7*n**4 - 1391*n**3 + 69595*n**2 - 48609*n - 19602.
(n - 99)**2*(n - 1)*(7*n + 2)
Solve a**2 + 79*a = 0 for a.
-79, 0
Suppose -4*f**3 + 408*f**2 - 10404*f = 0. Calculate f.
0, 51
Determine o, given that 4*o**2 + 6444*o - 6448 = 0.
-1612, 1
Determine k, given that 3*k**5/2 - 21*k**4 + 36*k**3 + 3*k**2 - 75*k/2 + 18 = 0.
-1, 1, 12
Factor -27*n**2/2 - 15*n + 16.
-(3*n - 2)*(9*n + 16)/2
Suppose 2*c**3 - 20*c**2 + 32*c = 0. What is c?
0, 2, 8
Factor 2*u**4 - 9510*u**3 + 15073350*u**2 - 7963753250*u.
2*u*(u - 1585)**3
Solve j**2 + 3136*j + 2458624 = 0 for j.
-1568
Factor -2*v**5/11 + 12*v**4/11 + 48*v**3/11 + 52*v**2/11 + 18*v/11.
-2*v*(v - 9)*(v + 1)**3/11
Find l such that 3*l**5 + 327*l**4 - 3249*l**3 - 7467*l**2 - 3894*l = 0.
-118, -1, 0, 11
Determine h, given that 5*h**5/6 - 23*h**4/6 + 25*h**3/6 - h**2/6 - h = 0.
-2/5, 0, 1, 3
Determine d so that d**2/2 - 22*d - 45/2 = 0.
-1, 45
Let -3*l**2 - 114*l + 1104 = 0. Calculate l.
-46, 8
Factor -5*f**2 - 105*f + 110.
-5*(f - 1)*(f + 22)
Solve -5*o**4 + 80*o**3 - 210*o**2 + 200*o - 65 = 0 for o.
1, 13
Find r such that -2*r**4/3 - 6*r**3 - 6*r**2 + 82*r/3 + 28 = 0.
-7, -3, -1, 2
Let b**5 - 13*b**4/5 - 186*b**3/5 - 232*b**2/5 - 64*b/5 = 0. What is b?
-4, -1, -2/5, 0, 8
Solve 5