7*m**3 + 8*m**2 - 4*m = 0.
-1, 0, 2/5, 2
Factor -p**2/5 + 6*p - 40.
-(p - 20)*(p - 10)/5
Factor -12*s**2 + 348*s - 2523.
-3*(2*s - 29)**2
Find o such that o**2/2 - 15*o + 29/2 = 0.
1, 29
Factor 8*z**5 - 22*z**4 + 18*z**3 - 2*z**2 - 2*z.
2*z*(z - 1)**3*(4*z + 1)
Solve -2*t**2 + 100*t + 550 = 0 for t.
-5, 55
Factor 2*b**2/9 + 52*b/9 - 112/9.
2*(b - 2)*(b + 28)/9
Solve -4*k**2 - 63*k/5 = 0.
-63/20, 0
Factor -4*r**3 - 136*r**2 - 108*r + 792.
-4*(r - 2)*(r + 3)*(r + 33)
Factor m**2/5 - 46*m/5 + 529/5.
(m - 23)**2/5
Determine l so that -4*l**4 - 184*l**3 - 1924*l**2 + 4416*l - 2304 = 0.
-24, 1
Let 42*c**4 - 1684*c**3/5 + 32*c**2/5 = 0. What is c?
0, 2/105, 8
Determine j so that -4*j**4 - 20*j**3 + 12*j**2 + 52*j - 40 = 0.
-5, -2, 1
What is f in 6*f**5/5 - 14*f**4/5 - 122*f**3/5 - 66*f**2/5 + 36*f/5 = 0?
-3, -1, 0, 1/3, 6
Solve -2*h**4 - 6*h**3 - 6*h**2 - 2*h = 0 for h.
-1, 0
Factor i**2/3 - 382*i/3.
i*(i - 382)/3
Suppose -2*x**3/3 + 40*x**2/3 - 152*x/3 - 160 = 0. Calculate x.
-2, 10, 12
Factor 3*f**2/8 - 3039*f/4 + 6075/8.
3*(f - 2025)*(f - 1)/8
Solve 5*q**5 + 90*q**4 + 400*q**3 - 90*q**2 - 405*q = 0.
-9, -1, 0, 1
Determine p so that -5*p**5/4 - 13*p**4/4 + 24*p**3 - 9*p**2 = 0.
-6, 0, 2/5, 3
Let 2*b**4 - 2*b**3 - 24*b**2 = 0. What is b?
-3, 0, 4
Suppose -3*d**5 + 3096*d**4 - 792549*d**3 - 3210564*d**2 - 2414916*d = 0. What is d?
-3, -1, 0, 518
Solve f**4 + 6*f**3 + 7*f**2 - 6*f - 8 = 0 for f.
-4, -2, -1, 1
Let -c**3/5 - 81*c**2/5 + 384*c - 2020 = 0. What is c?
-101, 10
Factor x**4/3 - 14*x**3/3 + 20*x**2 - 24*x.
x*(x - 6)**2*(x - 2)/3
Solve g**3/4 - 85*g**2/4 - g/4 + 85/4 = 0 for g.
-1, 1, 85
Let m**2/3 - 457*m/3 = 0. Calculate m.
0, 457
Factor t**3/3 + 10*t**2/3 - 56*t/3.
t*(t - 4)*(t + 14)/3
Factor 4*s**2/3 + 104*s/3.
4*s*(s + 26)/3
Determine s, given that -s**3/3 - 5*s**2 - 9*s - 13/3 = 0.
-13, -1
Find r, given that -4*r**4 - 24*r**3 + 68*r**2 + 24*r - 64 = 0.
-8, -1, 1, 2
What is h in 2*h**3/5 - 2*h**2/5 - 52*h/5 - 48/5 = 0?
-4, -1, 6
Let -2*k**2/3 + 50*k/3 - 56 = 0. Calculate k.
4, 21
Suppose 16*n**2/3 - 106*n/3 - 14 = 0. What is n?
-3/8, 7
Factor -6*y**2/7 + 179*y/7 + 122/7.
-(2*y - 61)*(3*y + 2)/7
Factor -2*i**4/3 - 2*i**3/3 + 10*i**2/3 - 2*i.
-2*i*(i - 1)**2*(i + 3)/3
Let 2*c**2/5 - 8*c/5 + 6/5 = 0. What is c?
1, 3
Solve -a**5 - 6*a**4 + 39*a**3 - 16*a**2 - 60*a = 0 for a.
-10, -1, 0, 2, 3
Find r such that 4*r**2/5 - 4*r/5 - 288/5 = 0.
-8, 9
Suppose -2*p**3/3 + 180*p**2 - 2134*p/3 + 532 = 0. Calculate p.
1, 3, 266
Factor 3*o**4/4 + 249*o**3/2 - 1005*o**2/4 + 126*o.
3*o*(o - 1)**2*(o + 168)/4
Factor 5*j**5/4 - 15*j**4/4 - 25*j**3/2 - 5*j**2/2 + 45*j/4 + 25/4.
5*(j - 5)*(j - 1)*(j + 1)**3/4
Let -14*t**3/9 + 52*t**2/9 + 16*t/9 = 0. What is t?
-2/7, 0, 4
Factor -t**2 + 76*t - 768.
-(t - 64)*(t - 12)
Factor -b**2/4 + 186*b + 2241/4.
-(b - 747)*(b + 3)/4
Solve 4*t**2/3 - 96*t + 1728 = 0.
36
Factor 2*i**2/11 - 6*i + 64/11.
2*(i - 32)*(i - 1)/11
Factor 3*b**4 + 3*b**3 - 90*b**2 + 228*b - 168.
3*(b - 2)**3*(b + 7)
Factor -4*v**2 + 564*v + 1144.
-4*(v - 143)*(v + 2)
Find q, given that -4*q**3/3 - 232*q**2/3 - 428*q - 624 = 0.
-52, -3
Factor -3*i**4 + 33*i**3 - 78*i**2 + 48*i.
-3*i*(i - 8)*(i - 2)*(i - 1)
Find x such that -5*x**4 + 220*x**3 - 210*x**2 - 220*x + 215 = 0.
-1, 1, 43
Factor -x**2 - 2*x + 15.
-(x - 3)*(x + 5)
Factor -4*l**4 + 232*l**3 - 224*l**2 - 232*l + 228.
-4*(l - 57)*(l - 1)**2*(l + 1)
What is j in -2*j**2 + 16*j + 130 = 0?
-5, 13
Factor i**4/2 + 9*i**3/4 - 29*i**2 - 15*i.
i*(i - 6)*(i + 10)*(2*i + 1)/4
Factor x**3/3 + x**2/3 - 5*x/3 + 1.
(x - 1)**2*(x + 3)/3
Factor -36*q**5 - 152*q**4 - 32*q**3.
-4*q**3*(q + 4)*(9*q + 2)
Factor 2*o**2/7 - 34*o/7 - 36/7.
2*(o - 18)*(o + 1)/7
Determine a, given that -a**5 - 10*a**4 - 29*a**3 - 32*a**2 - 12*a = 0.
-6, -2, -1, 0
Find j such that j**4/5 - 18*j**3/5 + 33*j**2/5 - 16*j/5 = 0.
0, 1, 16
Factor 4*m**4/3 - 164*m**3/3 + 1760*m**2/3 - 1600*m/3.
4*m*(m - 20)**2*(m - 1)/3
Solve -7*v**5 + 5520*v**4 + 55303*v**3/7 - 2350*v**2/7 - 15804*v/7 + 3160/7 = 0 for v.
-1, 2/7, 790
What is u in -3*u**5 - 99*u**4 + 168*u**3 + 23544*u**2 + 89232*u + 87120 = 0?
-22, -2, 15
Factor -l**2/4 + 14*l - 615/4.
-(l - 41)*(l - 15)/4
Let -i**2 - 896*i - 895 = 0. Calculate i.
-895, -1
Factor -u**3/6 - 113*u**2/6 - 1045*u/2 + 1083/2.
-(u - 1)*(u + 57)**2/6
Find o, given that -8*o**2 + 214*o + 54 = 0.
-1/4, 27
Factor -4*w**4/3 + 4*w**3/3 + 4*w**2/3 - 4*w/3.
-4*w*(w - 1)**2*(w + 1)/3
Factor -v**4 - 4*v**3 + 2*v**2 + 12*v - 9.
-(v - 1)**2*(v + 3)**2
Factor 5*c**2 - 9005*c + 26970.
5*(c - 1798)*(c - 3)
Let 98*q**5 - 644*q**4 + 988*q**3 + 776*q**2 - 1470*q - 900 = 0. Calculate q.
-5/7, 2, 3
Factor 5*f**2/3 - 73*f/3 + 86.
(f - 6)*(5*f - 43)/3
Suppose 65*y**2/3 + 107*y - 20/3 = 0. What is y?
-5, 4/65
Find r, given that -28*r**5 - 176*r**4 - 20*r**3 + 176*r**2 + 48*r = 0.
-6, -1, -2/7, 0, 1
Find w such that -w**4/3 + 7*w**3/3 - 16*w**2/3 + 4*w = 0.
0, 2, 3
Factor -y**3/2 + 7*y**2/2 - 8*y + 6.
-(y - 3)*(y - 2)**2/2
Solve -3*l**5/7 - 12*l**4/7 - 18*l**3/7 - 12*l**2/7 - 3*l/7 = 0 for l.
-1, 0
Suppose -10*u**5/3 - 86*u**4/3 - 58*u**3 - 106*u**2/3 + 16*u/3 + 8 = 0. What is u?
-6, -1, 2/5
Factor 4*a**2 - 96*a + 92.
4*(a - 23)*(a - 1)
Factor -6*i**5/5 - 6*i**4 - 36*i**3/5 + 24*i**2/5 + 48*i/5.
-6*i*(i - 1)*(i + 2)**3/5
Let -o**3 - 15*o**2 + 33*o - 17 = 0. Calculate o.
-17, 1
Determine r, given that 2*r**4/9 - 92*r**3/3 - 2*r**2/3 + 824*r/9 + 184/3 = 0.
-1, 2, 138
Solve 5*v**2 - 1225*v - 1230 = 0 for v.
-1, 246
What is g in -28*g**5/5 - 122*g**4/15 + 42*g**3/5 + 24*g**2/5 + 8*g/15 = 0?
-2, -2/7, -1/6, 0, 1
What is o in o**4/2 + 7*o**3/2 + 11*o**2/2 + 5*o/2 = 0?
-5, -1, 0
What is y in -3*y**3 - 1140*y**2 - 108300*y = 0?
-190, 0
Let -4*f**5/3 + 44*f**4/9 + 28*f**3/9 - 44*f**2/9 - 16*f/9 = 0. Calculate f.
-1, -1/3, 0, 1, 4
Solve f**2 - 138*f + 405 = 0.
3, 135
What is g in -2*g**5 - 12*g**4 + 72*g**3 + 432*g**2 = 0?
-6, 0, 6
Factor -4*l**4 + 188*l**3 + 796*l**2 + 1012*l + 408.
-4*(l - 51)*(l + 1)**2*(l + 2)
Let -5*y**4/2 - 5*y**3 + 905*y**2/2 + 455*y = 0. Calculate y.
-14, -1, 0, 13
Suppose -5*r**5/2 - 107*r**4/2 - 139*r**3/2 + 1583*r**2/2 - 1008*r + 342 = 0. What is r?
-19, -6, 3/5, 1, 2
Solve 2*z**5/11 + 16*z**4/11 + 34*z**3/11 - 4*z**2/11 - 48*z/11 = 0.
-4, -3, -2, 0, 1
What is c in -6*c**4 + 112*c**3 + 162*c**2 - 36*c - 80 = 0?
-1, 2/3, 20
Find l such that 5*l**4 - 80*l**3 + 315*l**2 + 80*l - 320 = 0.
-1, 1, 8
Factor -3*z**2 - 225*z - 438.
-3*(z + 2)*(z + 73)
Factor 242*m**4 + 6930*m**3 - 2544*m**2 + 232*m.
2*m*(m + 29)*(11*m - 2)**2
Determine t so that 5*t**4/2 - 125*t**3 + 1625*t**2/2 + 18750*t + 56250 = 0.
-5, 30
Factor -2*y**4/7 + 50*y**3 + 2148*y**2/7 + 4328*y/7 + 2896/7.
-2*(y - 181)*(y + 2)**3/7
Factor -2*f**3 + 14*f**2 - 22*f + 10.
-2*(f - 5)*(f - 1)**2
Suppose -3*q**5/4 - 123*q**4/2 - 5499*q**3/4 - 4563*q**2 = 0. What is q?
-39, -4, 0
Suppose 2*z**2/7 - 1058/7 = 0. Calculate z.
-23, 23
Find n such that -10*n**4/3 + 46*n**3/3 + 10*n**2 - 46*n/3 - 20/3 = 0.
-1, -2/5, 1, 5
Suppose -4*l**2 + 16 = 0. Calculate l.
-2, 2
Factor 3*g**4/5 - 42*g**3/5 + 21*g**2 + 30*g.
3*g*(g - 10)*(g - 5)*(g + 1)/5
Factor -d**3/8 + 147*d**2/8 - 5175*d/8 - 16875/8.
-(d - 75)**2*(d + 3)/8
Factor v**5/7 - 425*v**4/7.
v**4*(v - 425)/7
Factor 9*i**3/5 + 141*i**2/5 + 528*i/5 - 192/5.
3*(i + 8)**2*(3*i - 1)/5
Factor -l**3/2 - l**2 - l/2.
-l*(l + 1)**2/2
Factor -q**5/4 + 5*q**4/4 - 7*q**3/4 + 3*q**2/4.
-q**2*(q - 3)*(q - 1)**2/4
Suppose -3*q**2/7 - 225*q = 0. Calculate q.
-525, 0
Factor -3*h**3 + 9*h**2 + 30*h.
-3*h*(h - 5)*(h + 2)
Solve 2*g**5/3 - 14*g**4/3 + 14*g**3/3 + 46*g**2/3 - 88*g/3 + 40/3 = 0.
-2, 1, 2, 5
Let n**3/3 - 26*n**2/3 + 49*n/3 - 8 = 0. What is n?
1, 24
Factor 6*p**4 - 64*p**3 - 26*p**2 + 44*p.
2*p*(p - 11)*(p + 1)*(3*p - 2)
Solve 2*t**3/3 - 6*t**2 - 54*t - 90 = 0.
-3, 15
Solve -5*j**5/2 + 65*j**4/2 - 255*j**3/2 + 235*j**2/2 + 130*j - 150 = 0 for j.
-1, 1, 2, 5, 6
Determine k so that 6*k**2/11 - 1686*k/11 - 15660/11 = 0.
-9, 290
Solve 4*s**4/5 + 4*s**3/5 - 12*s**2/5 - 4*s/5 + 8/5 = 0 for s.
-2, -1, 1
Determine f so that 2*f**5/7 + 4*f**4/7 - 8*f**3/7 - 4*f**2/7 + 6*f/7 = 0.
-3, -1, 0, 1
Find k such that 2*k**5 - 2*k**4 - 12*k**3 - 4*k**2 + 10*k + 6 = 0.
-1, 1, 3
Suppose 2*a**4/11 + 238*a**3/11 + 9360*a**2/11 + 118400*a/11 - 128000/11 = 0. Wha