(h - 1)*(h + 1)**2/5
Find k, given that -2*k**3/3 + 392*k**2/15 - 1174*k/15 + 264/5 = 0.
1, 11/5, 36
Let -3*z**5 + 57*z**4 + 123*z**3 + 63*z**2 = 0. Calculate z.
-1, 0, 21
Solve 3*l**3/8 + 87*l**2/4 - 183*l/2 + 93 = 0.
-62, 2
Solve -3*h**5 + 24*h**4 - 45*h**3 - 24*h**2 + 48*h = 0 for h.
-1, 0, 1, 4
Let 2*f**4/3 - 34*f**3/3 + 62*f**2/3 - 10*f = 0. What is f?
0, 1, 15
Factor 5*a**3/3 + 56*a**2/3 - 69*a - 918.
(a + 9)**2*(5*a - 34)/3
Factor 5*m**3 + 165*m**2 + 1080*m + 2000.
5*(m + 4)**2*(m + 25)
What is m in -m**2/7 + 16/7 = 0?
-4, 4
Suppose -2*m**4/9 - 8*m**3/9 - 2*m**2/3 = 0. What is m?
-3, -1, 0
Factor -5*z**3 - 6165*z**2 - 12315*z - 6155.
-5*(z + 1)**2*(z + 1231)
Determine m, given that -15*m**3 - 70*m**2 - 85*m - 30 = 0.
-3, -1, -2/3
Factor 4*q**5/7 - 76*q**4/7 + 20*q**3 - 68*q**2/7.
4*q**2*(q - 17)*(q - 1)**2/7
What is m in m**5/4 + 7*m**4/4 - 137*m**3/4 + 121*m**2/4 + 34*m - 32 = 0?
-16, -1, 1, 8
Factor -r**2/4 - 18*r - 224.
-(r + 16)*(r + 56)/4
Solve -5*y**5 + 685*y**4 - 31040*y**3 + 453560*y**2 + 550160*y - 973360 = 0.
-2, 1, 46
Find a, given that 5*a**5/2 + 23*a**4/2 - 35*a**3/2 - 215*a**2/2 - 45*a + 36 = 0.
-4, -3, -1, 2/5, 3
Factor -2*y**2/11 - 28*y/11.
-2*y*(y + 14)/11
Factor 4*f**3 + 1496*f**2 - 1508*f - 3000.
4*(f - 2)*(f + 1)*(f + 375)
Find o, given that -3*o**4/4 - 22*o**3 - 701*o**2/4 - 203*o - 49 = 0.
-14, -1, -1/3
Suppose -o**2 + 1752*o - 767376 = 0. Calculate o.
876
Factor 189*q**3 - 565*q**2 + 372*q + 4.
(q - 2)*(q - 1)*(189*q + 2)
Solve h**5/3 - h**4 + 2*h**3/3 + 2*h**2/3 - h + 1/3 = 0.
-1, 1
Find p, given that 2*p**2/9 + 986*p/9 = 0.
-493, 0
Determine t, given that t**2 - 139*t - 140 = 0.
-1, 140
Solve -4*o**4 + 24*o**3 - 20*o**2 = 0 for o.
0, 1, 5
Let -t**3/5 + 27*t/5 + 54/5 = 0. What is t?
-3, 6
Solve -35*d**3 - 745*d**2 + 1400*d + 460 = 0 for d.
-23, -2/7, 2
Factor -20*m**3 - 172*m**2 - 424*m - 320.
-4*(m + 2)*(m + 5)*(5*m + 8)
Factor -2*t**2 + 62*t + 204.
-2*(t - 34)*(t + 3)
What is v in v**4/6 - 28*v**3/3 + 71*v**2/2 - 131*v/3 + 52/3 = 0?
1, 2, 52
What is a in -2*a**5 - 28*a**4 + 44*a**3 + 208*a**2 - 42*a - 180 = 0?
-15, -2, -1, 1, 3
Determine z, given that -18*z**5 + 202*z**4 - 800*z**3 + 1320*z**2 - 832*z + 128 = 0.
2/9, 1, 2, 4
Find q such that q**5 - 8*q**4 - 64*q**3 + 848*q**2 - 2832*q + 2880 = 0.
-10, 2, 4, 6
Factor 3*m**3/2 + 84*m**2 + 1935*m/2 - 1053.
3*(m - 1)*(m + 18)*(m + 39)/2
Solve 4*i**3/11 - 2*i**2 - 18*i/11 + 36/11 = 0.
-3/2, 1, 6
Let -10*d**5 + 65*d**4/3 + 35*d**3 - 70*d**2 - 100*d/3 + 40 = 0. Calculate d.
-3/2, -1, 2/3, 2
Factor 4802*a**2/5 - 392*a/5 + 8/5.
2*(49*a - 2)**2/5
Factor -162*p**2/5 + 328*p/5 - 8/5.
-2*(p - 2)*(81*p - 2)/5
Factor -16*x**4 + 28*x**3 + 8*x**2.
-4*x**2*(x - 2)*(4*x + 1)
Factor 5*i**4 - 775*i**3.
5*i**3*(i - 155)
Let 2*h**3 + 94*h**2 + 92*h = 0. What is h?
-46, -1, 0
Determine h, given that -3*h**5 - 114*h**4 + 24*h**3 + 912*h**2 - 48*h - 1824 = 0.
-38, -2, 2
Suppose -83*o**2/4 + 87*o/4 - 1 = 0. What is o?
4/83, 1
Find k, given that 4*k**3 + 740*k**2 - 4552*k + 6112 = 0.
-191, 2, 4
Factor 5*m**3 + 225*m**2.
5*m**2*(m + 45)
Find z such that -2*z**5/9 - 46*z**4/9 - 40*z**3/3 + 8*z**2/9 + 160*z/9 = 0.
-20, -2, 0, 1
Let -c**2/9 + 4492*c/9 - 5044516/9 = 0. Calculate c.
2246
Solve -2*h**2/17 - 26*h/17 - 84/17 = 0.
-7, -6
Find r, given that -4*r**3 - 3216*r**2 + 12912*r - 12928 = 0.
-808, 2
Factor -4*x**5 + 12*x**4 + 352*x**3.
-4*x**3*(x - 11)*(x + 8)
Determine g, given that -2*g**3/7 + 40*g**2 + 282*g/7 = 0.
-1, 0, 141
Solve g**3 - 60*g**2 + 117*g - 58 = 0.
1, 58
Suppose -g**3/2 - 1637*g**2/2 - 335380*g - 334562 = 0. Calculate g.
-818, -1
Factor 3*c**3 - 132*c**2 + 1452*c.
3*c*(c - 22)**2
Let 3*f**3/2 - 441*f**2/2 + 10044*f - 132618 = 0. Calculate f.
23, 62
Let 6*s**3/5 + 3*s**2 + 12*s/5 + 3/5 = 0. Calculate s.
-1, -1/2
Factor -4*v**5 + 12*v**4 + 60*v**3 + 68*v**2 + 24*v.
-4*v*(v - 6)*(v + 1)**3
Factor 3*g**3 - 153*g**2.
3*g**2*(g - 51)
Find k such that 2*k**4/7 - 44*k**3/7 - 2*k**2 + 296*k/7 + 264/7 = 0.
-2, -1, 3, 22
Factor 5*b**3/3 + 20*b**2/3 - 85*b + 150.
5*(b - 3)**2*(b + 10)/3
Factor -4*a**2/7 - 4*a.
-4*a*(a + 7)/7
Factor -3*j**2/2 + 681*j/2 - 339.
-3*(j - 226)*(j - 1)/2
What is n in n**3 - 30*n**2 + 104*n = 0?
0, 4, 26
Let -9*k**5 - 4*k**4 + 31*k**3/3 + 4*k**2 - 4*k/3 = 0. Calculate k.
-1, -2/3, 0, 2/9, 1
Factor -3*x**2/4 - 189*x/2 + 381/4.
-3*(x - 1)*(x + 127)/4
Factor 3*v**3 + 169*v**2 + 52*v - 224.
(v - 1)*(v + 56)*(3*v + 4)
Factor -4*o**4 - 980*o**3 - 58528*o**2 + 184512*o.
-4*o*(o - 3)*(o + 124)**2
Determine d so that -d**4 - 2*d**3 + 19*d**2 + 20*d = 0.
-5, -1, 0, 4
Let -4*b**3/5 - 10*b**2 + 28*b/5 + 26/5 = 0. What is b?
-13, -1/2, 1
Suppose 5*f**2 - 35*f - 90 = 0. Calculate f.
-2, 9
Factor -a**5/4 + a**4/2 - a**3/4.
-a**3*(a - 1)**2/4
Factor -v**4/3 + 1752*v**3 - 3069504*v**2 + 1792590336*v.
-v*(v - 1752)**3/3
Determine a, given that -40*a**2 + 122*a - 6 = 0.
1/20, 3
Suppose -4*a**3 + 92*a**2 - 572*a + 484 = 0. Calculate a.
1, 11
Factor -69*z**2/4 - 39*z/2 - 9/4.
-3*(z + 1)*(23*z + 3)/4
Factor 5*z**4 + 65*z**3 - 1060*z**2 - 4860*z - 5040.
5*(z - 12)*(z + 2)**2*(z + 21)
Let 3*s**3/2 - 801*s**2/2 - 4887*s/2 - 7371/2 = 0. What is s?
-3, 273
Solve -2*z**2/3 + 902*z/3 - 300 = 0 for z.
1, 450
Factor -3*z**4 + 90*z**3 - 84*z**2 - 90*z + 87.
-3*(z - 29)*(z - 1)**2*(z + 1)
Suppose 2*m**4/13 + 8*m**3/13 + 4*m**2/13 - 8*m/13 - 6/13 = 0. Calculate m.
-3, -1, 1
Factor 5*i**4 + 25*i**3 - 220*i**2 + 300*i.
5*i*(i - 3)*(i - 2)*(i + 10)
Factor -2*a**2 + 2*a.
-2*a*(a - 1)
Solve -5*o**2 - 415*o + 3640 = 0 for o.
-91, 8
Determine y, given that -y**3 + 26*y**2 - 169*y = 0.
0, 13
Factor o**2/7 + 18*o/7 + 65/7.
(o + 5)*(o + 13)/7
Determine a, given that 2*a**3 - 454*a**2 + 25536*a + 25992 = 0.
-1, 114
Let 3*g**3/4 + 117*g**2/2 - 477*g/4 + 60 = 0. Calculate g.
-80, 1
Solve 4*x**5 + 224*x**4 - 464*x**3 = 0.
-58, 0, 2
Find j such that j**4/8 + 7*j**3/8 + 9*j**2/4 + 5*j/2 + 1 = 0.
-2, -1
Factor 2*s**2 + 436*s + 23762.
2*(s + 109)**2
Factor -3*f**2 - 435*f - 9558.
-3*(f + 27)*(f + 118)
Factor 15*f**3 + 21*f**2 + 6*f.
3*f*(f + 1)*(5*f + 2)
Solve -2*a**4/3 + 25*a**3/3 - 67*a**2/3 - 40*a/3 = 0.
-1/2, 0, 5, 8
Factor 2*t**3/7 + 52*t**2.
2*t**2*(t + 182)/7
Factor -4*y**5 - 32*y**4.
-4*y**4*(y + 8)
Find f such that -7*f**4/2 + 47*f**3/2 + 105*f**2 + 98*f + 20 = 0.
-2, -1, -2/7, 10
Find y, given that -2*y**2 + 29520*y - 108928800 = 0.
7380
Let 2*h**2 + 14*h + 12 = 0. What is h?
-6, -1
Factor -3*v**3 + 102*v**2 + 567*v + 702.
-3*(v - 39)*(v + 2)*(v + 3)
Factor p**3/3 - 19*p**2/3 + 74*p/3 - 56/3.
(p - 14)*(p - 4)*(p - 1)/3
Determine v, given that -v**4 - 29*v**3 - 224*v**2 - 196*v = 0.
-14, -1, 0
Solve -2048*t**5 - 14016*t**4 - 56985*t**3/2 - 27439*t**2/2 + 5385*t/2 - 225/2 = 0.
-3, -1, 5/64
Factor 2*x**4 + 348*x**3 - 1056*x**2 + 1060*x - 354.
2*(x - 1)**3*(x + 177)
Determine p so that p**4/6 - p**3 - 11*p**2/6 + 10*p + 50/3 = 0.
-2, 5
Determine o so that 7*o**3 - 51*o**2 + 14*o = 0.
0, 2/7, 7
What is k in 2*k**5 + 8*k**4 + 6*k**3 - 8*k**2 - 8*k = 0?
-2, -1, 0, 1
Factor 5*x**3 - 1740*x**2 + 151380*x.
5*x*(x - 174)**2
Factor -3*g**2 + 87*g + 90.
-3*(g - 30)*(g + 1)
Factor 5*m**5 + 65*m**4 + 290*m**3 + 530*m**2 + 425*m + 125.
5*(m + 1)**3*(m + 5)**2
Factor k**2/3 + 50*k + 149/3.
(k + 1)*(k + 149)/3
Let -104*c**4 + 68*c**3 + 96*c**2 - 68*c + 8 = 0. Calculate c.
-1, 2/13, 1/2, 1
Factor 3*j**5/4 - 171*j**4/2 - 345*j**3/4.
3*j**3*(j - 115)*(j + 1)/4
Let -4*h**3/5 + 176*h**2/5 - 1524*h/5 + 2376/5 = 0. What is h?
2, 9, 33
Factor -3*a**4 - 3*a**3 + 12*a**2 + 12*a.
-3*a*(a - 2)*(a + 1)*(a + 2)
Suppose m**2 - 15*m + 26 = 0. Calculate m.
2, 13
What is u in u**2/6 + 5*u/6 - 1 = 0?
-6, 1
Factor -u**3/6 - 4*u**2/3 - 10*u/3 - 8/3.
-(u + 2)**2*(u + 4)/6
Factor 9*l**2 - 102*l + 120.
3*(l - 10)*(3*l - 4)
Solve 2*f**2 - 1732*f + 374978 = 0 for f.
433
Solve -2*z**5 - 20*z**4 - 8*z**3 + 84*z**2 - 54*z = 0 for z.
-9, -3, 0, 1
Factor -12*q**2 + 2564*q - 9240.
-4*(q - 210)*(3*q - 11)
Suppose 4*l**3/5 - 4*l**2 - 4*l/5 + 4 = 0. Calculate l.
-1, 1, 5
Factor -2*f**2/5 - 6176*f/5 - 4767872/5.
-2*(f + 1544)**2/5
Let -2*r**5/9 + 44*r**4/9 - 112*r**3/3 + 980*r**2/9 - 686*r/9 = 0. What is r?
0, 1, 7
Factor -3*s**3 + 51*s**2 - 228*s + 180.
-3*(s - 10)*(s - 6)*(s - 1)
Determine q, given that 3*q**2 + 516*q + 22188 = 0.
-86
Factor -2*n