 108.
-3*(x - 6)**2*(x - 1)
Factor -10*z**3/9 - 76*z**2/9 - 88*z/9 + 16/3.
-2*(z + 2)*(z + 6)*(5*z - 2)/9
Solve -2*j**3/3 + 56*j**2/3 - 256*j/3 - 2048/3 = 0.
-4, 16
Determine r, given that -r**5 + 5*r**4/3 + 11*r**3/3 + r**2 = 0.
-1, -1/3, 0, 3
Find o, given that 4*o**3/3 - 364*o**2/3 + 120*o = 0.
0, 1, 90
Factor 2*u**2 - 10*u - 28.
2*(u - 7)*(u + 2)
Factor m**3/6 + 4*m**2/3 - 2*m - 24.
(m - 4)*(m + 6)**2/6
Find t such that -t**5/2 - 3*t**4 + 2*t**3 + 28*t**2 - 64 = 0.
-4, -2, 2
Factor 800*s**3/3 + 1040*s**2/3 + 86*s + 6.
2*(s + 1)*(20*s + 3)**2/3
Suppose 3*m**2 - 201*m - 852 = 0. What is m?
-4, 71
Factor -2*q**2 - 364*q - 16562.
-2*(q + 91)**2
Find y, given that -2*y**4/9 - 10*y**3/3 - 44*y**2/3 - 232*y/9 - 16 = 0.
-9, -2
Solve d**4 + 3*d**3 - 34*d**2 + 48*d = 0.
-8, 0, 2, 3
Determine u, given that 25*u**5/4 + 10*u**4 - 115*u**3 - 755*u**2/2 - 1485*u/4 - 225/2 = 0.
-3, -2, -1, -3/5, 5
Factor o**2/7 - 12*o/7 - 4.
(o - 14)*(o + 2)/7
Find q, given that -q**2 + 789*q = 0.
0, 789
Factor 5*l**5 + 30*l**4 + 40*l**3 - 30*l**2 - 45*l.
5*l*(l - 1)*(l + 1)*(l + 3)**2
What is p in -2*p**2/11 - 192*p - 50688 = 0?
-528
What is d in 484*d**4 + 176*d**3 + 16*d**2 = 0?
-2/11, 0
Factor m**3 + 13*m**2 + 40*m + 36.
(m + 2)**2*(m + 9)
Factor 2*h**2/9 - 110*h/3 + 652/9.
2*(h - 163)*(h - 2)/9
Factor -y**4/2 + 17*y**3/2 - 99*y**2/2 + 243*y/2 - 108.
-(y - 8)*(y - 3)**3/2
Factor 4*t**5 + 242*t**4 - 122*t**3.
2*t**3*(t + 61)*(2*t - 1)
Factor -d**3 - 917*d**2 + d + 917.
-(d - 1)*(d + 1)*(d + 917)
Find r, given that 6*r**2/5 - 2452*r/5 + 1632/5 = 0.
2/3, 408
Solve 27*m**2 + 3*m - 24 = 0.
-1, 8/9
Determine x so that 16*x**4/5 + 48432*x**3/5 + 36626692*x**2/5 - 36663024*x/5 + 9168784/5 = 0.
-1514, 1/2
Find m such that -m**2/6 + 45*m - 6075/2 = 0.
135
Factor -5*x**3 - 45*x**2 + 4250*x.
-5*x*(x - 25)*(x + 34)
Find m such that -2*m**5 - 434*m**4 + 438*m**3 + 434*m**2 - 436*m = 0.
-218, -1, 0, 1
Let -b**3 - 6*b**2 + 32 = 0. What is b?
-4, 2
Suppose -2*i**4 - 100*i**3 - 288*i**2 - 284*i - 94 = 0. What is i?
-47, -1
Factor -j**5 + 16*j**4 - 42*j**3 + 40*j**2 - 13*j.
-j*(j - 13)*(j - 1)**3
Factor 5*p**3 - 25*p**2 + 35*p - 15.
5*(p - 3)*(p - 1)**2
Find v such that -4*v**3 + 60*v**2 - 152*v + 96 = 0.
1, 2, 12
Find h such that 3*h**3 + 60*h**2 + 144*h - 1728 = 0.
-12, 4
Factor -3*d**2 - 5694*d - 2701803.
-3*(d + 949)**2
Determine x so that -2*x**2 - 132*x - 378 = 0.
-63, -3
Solve -s**3/4 - 3*s**2/2 - 9*s/4 - 1 = 0.
-4, -1
Determine n, given that 2*n**3/3 + 412*n**2/3 + 1624*n/3 + 1616/3 = 0.
-202, -2
Suppose 12*y**3 + 296*y**2 + 192*y = 0. Calculate y.
-24, -2/3, 0
Factor -2*u**4/9 + 128*u**3/9 - 124*u**2/3 + 368*u/9 - 122/9.
-2*(u - 61)*(u - 1)**3/9
Solve -o**4/5 - 134*o**3/5 + 692*o**2/5 - 426*o/5 - 1251/5 = 0 for o.
-139, -1, 3
What is z in -z**2 - 256*z - 16384 = 0?
-128
Suppose y**2/3 + 3294*y + 8137827 = 0. What is y?
-4941
Factor 5*d**4 - 245*d**3 - 780*d**2 - 20*d + 1040.
5*(d - 52)*(d - 1)*(d + 2)**2
Find o such that -50*o**3 - 65*o**2 + 585*o + 180 = 0.
-4, -3/10, 3
Factor 4*a**2 + 672*a + 668.
4*(a + 1)*(a + 167)
Find i such that 7*i**2/2 + 5*i - 4 = 0.
-2, 4/7
What is x in 2*x**2/23 + 16*x/23 + 14/23 = 0?
-7, -1
Factor 9*t**3/8 - 15*t**2/4 - 63*t/8 + 27.
3*(t - 3)**2*(3*t + 8)/8
Solve g**4/3 + 2*g**3/3 - 4*g**2/3 - 8*g/3 = 0 for g.
-2, 0, 2
Factor 4*a**5/5 + 16*a**4 + 116*a**3 + 360*a**2 + 432*a + 864/5.
4*(a + 1)**2*(a + 6)**3/5
Factor -2*q**4 - 50*q**3 - 434*q**2 - 1494*q - 1620.
-2*(q + 2)*(q + 5)*(q + 9)**2
Factor i**5/6 - 41*i**4/3 - 85*i**3/2.
i**3*(i - 85)*(i + 3)/6
Factor -3*m**2 + 1773*m.
-3*m*(m - 591)
What is l in 4*l**2 - 136*l - 1148 = 0?
-7, 41
Factor -3*y**3/5 + 24*y**2/5 - 39*y/5 + 18/5.
-3*(y - 6)*(y - 1)**2/5
What is h in 4*h**5 - 76*h**4 + 136*h**3 + 8*h**2 - 140*h + 68 = 0?
-1, 1, 17
Factor 2*b**2 - 918*b - 920.
2*(b - 460)*(b + 1)
Suppose 4*t**4 - 60*t**3 + 296*t**2 - 528*t + 288 = 0. Calculate t.
1, 2, 6
Find f, given that -2*f**4/9 - 176*f**3/9 - 682*f**2/9 - 844*f/9 - 112/3 = 0.
-84, -2, -1
Suppose x**3/5 - 47*x**2/5 - 148*x/5 - 20 = 0. What is x?
-2, -1, 50
Let -14*o**2 + 152*o - 120 = 0. What is o?
6/7, 10
Solve 2*d**4/7 - 12*d**3/7 + 26*d**2/7 - 24*d/7 + 8/7 = 0.
1, 2
Factor 4*c**4 - 28*c**3 + 48*c**2 + 16*c - 64.
4*(c - 4)*(c - 2)**2*(c + 1)
Factor -5*p**2 - 205*p - 390.
-5*(p + 2)*(p + 39)
Factor 2*g**3 - 136*g**2 - 286*g + 420.
2*(g - 70)*(g - 1)*(g + 3)
Suppose -56*o**3 + 1004*o**2 + 2312*o + 160 = 0. Calculate o.
-2, -1/14, 20
Find s, given that 2*s**2/7 - 58*s/7 - 192/7 = 0.
-3, 32
Factor -3*i**3/4 - 62*i**2 + 335*i/4 - 21.
-(i - 1)*(i + 84)*(3*i - 1)/4
Factor 5*k**3/4 - 15*k**2/2 - 275*k/4.
5*k*(k - 11)*(k + 5)/4
Determine d so that -54*d**4/5 + 4802*d**3/5 - 113422*d**2/5 + 58222*d + 22188/5 = 0.
-2/27, 3, 43
Factor 2*i**4/5 + 8*i**3/5 + 6*i**2/5.
2*i**2*(i + 1)*(i + 3)/5
Determine c so that 5*c**4 - 25*c**3 + 20*c**2 = 0.
0, 1, 4
Find q, given that 4*q**4 + 140*q**3 - 148*q**2 - 140*q + 144 = 0.
-36, -1, 1
Factor -4*b**4 + 20*b**3 + 888*b**2 + 864*b.
-4*b*(b - 18)*(b + 1)*(b + 12)
Suppose -2*h**2/7 + 1902*h/7 - 1900/7 = 0. What is h?
1, 950
Factor q**4/8 - 5*q**3/4 + 9*q**2/2 - 27*q/4 + 27/8.
(q - 3)**3*(q - 1)/8
Factor a**2 + 5830*a + 8497225.
(a + 2915)**2
Find a such that 4*a**2 + 768*a + 36864 = 0.
-96
Factor -25*z**3 - 1585*z**2 + 2620*z + 1300.
-5*(z - 2)*(z + 65)*(5*z + 2)
Let 2*q**2/3 + 70*q/3 + 64 = 0. Calculate q.
-32, -3
Factor 2*j**5 + 14*j**4 + 20*j**3 - 36*j**2 - 54*j + 54.
2*(j - 1)**2*(j + 3)**3
Determine f, given that -2*f**2/3 - 184*f/3 - 4232/3 = 0.
-46
Factor -3*q**2 - 96*q - 93.
-3*(q + 1)*(q + 31)
Factor 5*p**3 + 50*p**2 + 80*p.
5*p*(p + 2)*(p + 8)
What is y in -y**4/7 - 83*y**3/7 - 163*y**2/7 - 81*y/7 = 0?
-81, -1, 0
Let 2*c**2/9 - 74*c/3 + 220/9 = 0. Calculate c.
1, 110
Determine m so that -m**4/6 - 7*m**3/2 - 29*m**2/6 + 63*m/2 + 57 = 0.
-19, -3, -2, 3
Find r such that 4*r**2 + 16*r + 12 = 0.
-3, -1
Factor -q**4 - 2*q**3 + 7*q**2 + 20*q + 12.
-(q - 3)*(q + 1)*(q + 2)**2
Find h, given that -h**4/4 - 11*h**3/2 - 93*h**2/4 - 35*h - 17 = 0.
-17, -2, -1
Factor -2*c**3 - 6*c**2 + 50*c - 42.
-2*(c - 3)*(c - 1)*(c + 7)
Factor 3*f**2/5 + 42*f/5 - 9.
3*(f - 1)*(f + 15)/5
Determine h so that 2*h**2 + 18*h - 20 = 0.
-10, 1
Suppose -5*n**5 + 185*n**4 + 595*n**3 + 215*n**2 - 590*n - 400 = 0. Calculate n.
-2, -1, 1, 40
Let -2*r**2 + 70*r + 72 = 0. Calculate r.
-1, 36
What is j in 5*j**4/4 - 55*j**3/2 + 685*j**2/4 - 175*j - 375 = 0?
-1, 3, 10
Factor n**3 + 1668*n**2.
n**2*(n + 1668)
Factor 5*d**2 - 12590*d - 12595.
5*(d - 2519)*(d + 1)
Determine a so that 2*a**5 - 80*a**4 + 798*a**3 + 80*a**2 - 800*a = 0.
-1, 0, 1, 20
Factor 3*a**5 + 18*a**4 + 3*a**3 - 72*a**2 + 48*a.
3*a*(a - 1)**2*(a + 4)**2
Factor p**5 - 9*p**4 + 14*p**3 + 56*p**2 - 96*p - 128.
(p - 4)**3*(p + 1)*(p + 2)
Find z such that 3*z**3/2 + 9*z**2/4 - 117*z/4 - 15 = 0.
-5, -1/2, 4
Solve -2*c**4/11 - 24*c**3/11 - 42*c**2/11 - 20*c/11 = 0 for c.
-10, -1, 0
What is b in -2*b**2/5 - 2*b + 28/5 = 0?
-7, 2
Determine m, given that 2*m**2/7 - 62*m/7 + 260/7 = 0.
5, 26
Suppose 3*t**5 + 60*t**4 + 252*t**3 = 0. Calculate t.
-14, -6, 0
Factor 3*r**2 + 4578*r + 4575.
3*(r + 1)*(r + 1525)
Determine v, given that -3*v**4 - 30*v**3 - 75*v**2 = 0.
-5, 0
Let 4*h**2 + 340*h - 1424 = 0. Calculate h.
-89, 4
Suppose 20*q**3 + 485*q**2 + 3000*q + 720 = 0. What is q?
-12, -1/4
Factor 1082*t**2 - 1074*t - 8.
2*(t - 1)*(541*t + 4)
Determine s, given that -20*s**5 - 185*s**4 - 345*s**3 + 425*s**2 + 125*s = 0.
-5, -1/4, 0, 1
Factor 2*u**5/11 - 34*u**4/11 + 160*u**3/11 - 128*u**2/11.
2*u**2*(u - 8)**2*(u - 1)/11
Factor k**3/2 - 23*k**2 + 129*k/2.
k*(k - 43)*(k - 3)/2
Suppose 3*u**2 + 225*u + 4128 = 0. Calculate u.
-43, -32
Factor 4913*t**5 - 3468*t**4 + 816*t**3 - 64*t**2.
t**2*(17*t - 4)**3
Solve -h**4/4 + 21*h**3/4 - 123*h**2/4 + 187*h/4 - 21 = 0.
1, 7, 12
Let 64*u**3 + 1888*u**2 - 956*u + 120 = 0. Calculate u.
-30, 1/4
Let -2*p**4/5 - 4664*p**3/5 - 4078668*p**2/5 - 1585242296*p/5 - 231049064642/5 = 0. Calculate p.
-583
Find m, given that 2*m**3/9 - 94*m**2/9 + 88*m/9 + 184/9 = 0.
-1, 2, 46
Factor 3*x**3 + 3894*x**2 + 1259700*x - 2535000.
3*(x - 2)*(x + 650)**2
Factor -3*b**2 + 2718*b + 2721.
-3*(b - 907)*(b + 1)
Solve v**4/2 + 8*v**3 - 37*v**2/2 - 8*v + 18 = 0 for v.
-18, -1, 1, 2
Facto