**2*(c - 12)**2*(c + 7)
Factor 2*g**4/5 + 14*g**3/5 + 16*g**2/5 - 32*g/5.
2*g*(g - 1)*(g + 4)**2/5
Solve 2*p**3 + 8*p**2 + 10*p + 4 = 0.
-2, -1
Let b**5/4 - 17*b**4/4 + 81*b**3/4 - 103*b**2/4 - 41*b/2 + 30 = 0. Calculate b.
-1, 1, 3, 4, 10
Factor -129*f**2 + 225*f + 486.
-3*(f - 3)*(43*f + 54)
Factor -4*i**3 - 292*i**2 - 4864*i + 17328.
-4*(i - 3)*(i + 38)**2
Find d such that -3*d**3/2 - 51*d**2/2 + 57*d + 540 = 0.
-18, -4, 5
Factor -2*c**3 - 170*c**2 - 3696*c - 3528.
-2*(c + 1)*(c + 42)**2
Suppose -2*z**4/3 - 212*z**3/3 + 216*z**2 - 652*z/3 + 218/3 = 0. Calculate z.
-109, 1
Suppose -3*v**3 - 54*v**2 - 135*v = 0. What is v?
-15, -3, 0
Solve 3*a**3/8 - 21*a**2/8 + 21*a/8 + 45/8 = 0.
-1, 3, 5
Solve 3*p**5/4 - 15*p**4/4 - 27*p**3/4 + 147*p**2/4 - 6*p - 45 = 0.
-3, -1, 2, 5
Solve -2*g**2/3 - 1736*g/3 - 376712/3 = 0 for g.
-434
Let -2*o**3/5 + 8*o**2/5 = 0. Calculate o.
0, 4
Let -27*y**5 - 33*y**4 + 75*y**3 + 153*y**2 + 84*y + 12 = 0. What is y?
-1, -2/9, 2
Solve -3*l**4 - 516*l**3 - 22914*l**2 + 269340*l + 26166381 = 0 for l.
-67, 29
Factor -2*g**5/11 + 18*g**4/11 - 30*g**3/11 + 14*g**2/11.
-2*g**2*(g - 7)*(g - 1)**2/11
Determine q, given that q**5 + 5*q**4/2 + 2*q**3 + q**2/2 = 0.
-1, -1/2, 0
Suppose -5*l**3 - 245*l**2 + 5*l + 245 = 0. Calculate l.
-49, -1, 1
Factor 3*a**3 + 12*a**2 - 51*a - 180.
3*(a - 4)*(a + 3)*(a + 5)
Determine y so that -121*y**5/3 + 275*y**4/3 + 248*y**3/3 - 436*y**2/3 - 352*y/3 - 64/3 = 0.
-1, -4/11, 2
Factor -4*s**3/7 - 4*s**2 + 176*s/7.
-4*s*(s - 4)*(s + 11)/7
Factor -4*d**3 - 76*d**2 - 220*d + 1452.
-4*(d - 3)*(d + 11)**2
Solve 5*o**4 + 20*o**3 - 650*o**2 + 2500*o - 1875 = 0.
-15, 1, 5
Let -z**4 - 5*z**3 + 54*z**2 - 124*z + 88 = 0. Calculate z.
-11, 2
Factor 5*s**3 + 435*s**2 + 10800*s + 56000.
5*(s + 7)*(s + 40)**2
Let 5*x**3 - 13965*x**2 = 0. What is x?
0, 2793
What is u in -2*u**5/7 + 8*u**4/7 + 66*u**3/7 - 8*u**2/7 - 64*u/7 = 0?
-4, -1, 0, 1, 8
Factor -5*a**4 - 130*a**3 - 540*a**2 - 270*a + 945.
-5*(a - 1)*(a + 3)**2*(a + 21)
Suppose 5*n**4/8 - 7*n**3/4 - n**2 + 7*n/4 + 3/8 = 0. Calculate n.
-1, -1/5, 1, 3
Suppose 4*b**3/7 + 48*b**2/7 + 12*b + 40/7 = 0. What is b?
-10, -1
Factor k**4/3 - 15*k**3 - 533*k**2/3 - 309*k - 440/3.
(k - 55)*(k + 1)**2*(k + 8)/3
Factor 2*l**4/3 + 4*l**3.
2*l**3*(l + 6)/3
Factor 3*f**2 + 39*f + 108.
3*(f + 4)*(f + 9)
Solve -2*l**5 + 4*l**4 + 12*l**3 - 40*l**2 + 38*l - 12 = 0 for l.
-3, 1, 2
Determine n so that n**5 + 14*n**4 + 25*n**3 + 12*n**2 = 0.
-12, -1, 0
Solve 5*c**3 - 335*c**2 + 7375*c - 53125 = 0 for c.
17, 25
Factor -2*m**3/5 - 126*m**2/5 - 432*m - 1080.
-2*(m + 3)*(m + 30)**2/5
Factor -2*p**4/7 - p**3 - 3*p**2/7.
-p**2*(p + 3)*(2*p + 1)/7
Factor 28*r**3 - 68*r**2 - 48*r.
4*r*(r - 3)*(7*r + 4)
Factor 4*z**4 + 12*z**3 + 8*z**2.
4*z**2*(z + 1)*(z + 2)
Determine k, given that 3*k**3 + 10*k**2 + k - 6 = 0.
-3, -1, 2/3
Factor n**2/4 + 11*n/4 - 13/2.
(n - 2)*(n + 13)/4
Factor 3*l**3 - 7*l**2 + 16*l/3 - 4/3.
(l - 1)*(3*l - 2)**2/3
Suppose u**3 - 110*u**2 + 519*u + 630 = 0. What is u?
-1, 6, 105
Solve 5*o**4 - 660*o**3 + 3175*o**2 = 0 for o.
0, 5, 127
Let -10*a**4 + 1455*a**3 - 2160*a**2 - 5*a + 720 = 0. What is a?
-1/2, 1, 144
Suppose -3*t**5/8 + 57*t**4/8 - 45*t**3/2 = 0. Calculate t.
0, 4, 15
Find r, given that -r**2 - 230*r - 13225 = 0.
-115
Factor -3*s**3/7 - 102*s**2/7 - 1035*s/7 - 2700/7.
-3*(s + 4)*(s + 15)**2/7
Factor -2*b**3/11 + 8*b**2 - 88*b.
-2*b*(b - 22)**2/11
Factor 1152*p**4 + 1248*p**3 + 98*p**2 + 2*p.
2*p*(p + 1)*(24*p + 1)**2
Factor 18*n**2/13 + 256*n/13 + 56/13.
2*(n + 14)*(9*n + 2)/13
Factor 4*y**2/3 - 260*y/3 + 400.
4*(y - 60)*(y - 5)/3
Determine l so that l**4/8 + 11*l**3/4 - 111*l**2/8 - 43*l/2 + 65/2 = 0.
-26, -2, 1, 5
Factor -4*a**2 - 17*a/2 - 9/2.
-(a + 1)*(8*a + 9)/2
Determine g, given that -g**4/10 + g**3 + 6*g**2/5 - g - 11/10 = 0.
-1, 1, 11
Solve 40*f**3 - 190*f**2 + 125*f - 20 = 0 for f.
1/4, 1/2, 4
Suppose x**2/6 - 4*x/3 - 3/2 = 0. What is x?
-1, 9
Solve -w**2/10 - w/2 - 2/5 = 0 for w.
-4, -1
Factor 3*q**3 + 105*q**2 + 198*q.
3*q*(q + 2)*(q + 33)
Determine r, given that 2*r**2/5 + 18832*r/5 + 44330528/5 = 0.
-4708
Factor 2*x**2/3 - 472*x/3 - 952/3.
2*(x - 238)*(x + 2)/3
Factor -9*y**2 - 3*y + 12.
-3*(y - 1)*(3*y + 4)
Determine f, given that 3*f**3/7 - 15*f**2/7 - 18*f/7 = 0.
-1, 0, 6
Let 147*v**5 + 133*v**4 + 40*v**3 + 4*v**2 = 0. Calculate v.
-1/3, -2/7, 0
Factor -4*g**3 + 28*g**2 + 160*g + 176.
-4*(g - 11)*(g + 2)**2
Factor 2*v**4 - 17*v**3/2 + 9*v**2.
v**2*(v - 2)*(4*v - 9)/2
Factor 6*v**2/7 + 1299*v/7 - 756.
3*(v - 4)*(2*v + 441)/7
Determine x so that -14*x**5 + 192*x**4 + 70*x**3 - 192*x**2 - 56*x = 0.
-1, -2/7, 0, 1, 14
Find v such that -v**5/5 + 27*v**4/5 - 248*v**3/5 + 812*v**2/5 - 192*v/5 - 256 = 0.
-1, 2, 8, 10
Factor 5*y**3/2 - 94*y**2 + 109*y/2 + 37.
(y - 37)*(y - 1)*(5*y + 2)/2
Find o, given that 4*o**3 + 636*o**2 - 3924*o + 5940 = 0.
-165, 3
Determine g so that 2*g**3/9 - 8*g**2/9 - 22*g/9 - 4/3 = 0.
-1, 6
Determine p, given that -p**2/3 + 36*p - 972 = 0.
54
Factor -q**2 - 3*q + 4.
-(q - 1)*(q + 4)
Let n**4 - 2*n**3 - 25*n**2 + 2*n + 24 = 0. What is n?
-4, -1, 1, 6
Factor -2*d**2/9 - 208*d/9 + 70/3.
-2*(d - 1)*(d + 105)/9
What is j in 2*j**4/5 - 262*j**3/5 - 534*j**2/5 + 262*j/5 + 532/5 = 0?
-2, -1, 1, 133
Let -18*w**5/7 - 39*w**4/7 - 3*w**3 + 3*w**2/7 + 3*w/7 = 0. What is w?
-1, -1/2, 0, 1/3
What is t in 4*t**3/3 + 704*t**2/3 - 236*t = 0?
-177, 0, 1
What is k in -2*k**5/9 + 34*k**3/9 - 8*k**2 + 40*k/9 = 0?
-5, 0, 1, 2
Factor 2*c**4/5 + 32*c**3/5 + 156*c**2/5 + 224*c/5 + 98/5.
2*(c + 1)**2*(c + 7)**2/5
Suppose 3*z**4 + 63*z**3 - 369*z**2 + 537*z - 234 = 0. What is z?
-26, 1, 3
Factor -3*a**2/4 - 9*a/2 + 12.
-3*(a - 2)*(a + 8)/4
Factor -c**5/6 - 5*c**4/3 + 23*c**3/6 - 2*c**2.
-c**2*(c - 1)**2*(c + 12)/6
Let -r**2/4 + 27*r/2 + 55/4 = 0. Calculate r.
-1, 55
Factor v**2/2 - 109*v - 219/2.
(v - 219)*(v + 1)/2
Factor 4*o**5 - 24*o**4 - 16*o**3 + 96*o**2.
4*o**2*(o - 6)*(o - 2)*(o + 2)
Determine i so that -i**3/2 + 629*i**2/2 - 2513*i/8 + 157/2 = 0.
1/2, 628
Factor -63*k**4/2 + 36*k**3 + 57*k**2 + 64*k/3 + 5/2.
-(3*k + 1)**3*(7*k - 15)/6
Suppose -h**3 - 47*h**2/5 + 32*h/5 + 4 = 0. What is h?
-10, -2/5, 1
Determine f so that 75*f**5 - 910*f**4 + 2895*f**3 - 3520*f**2 + 1620*f - 160 = 0.
2/15, 1, 2, 8
Determine a, given that -10*a**4/3 + 204*a**3 + 1874*a**2/5 + 3016*a/15 + 168/5 = 0.
-1, -2/5, 63
Factor -2*y**5/7 - 50*y**4/7 - 198*y**3/7 + 3146*y**2/7 + 21296*y/7.
-2*y*(y - 8)*(y + 11)**3/7
Find h such that -5*h**5 + 15*h**4 - 31*h**3/5 - 51*h**2/5 + 4*h + 12/5 = 0.
-3/5, -2/5, 1, 2
Factor -2*p**2/7 - 2*p + 16/7.
-2*(p - 1)*(p + 8)/7
Let q**2 + 1348*q + 454276 = 0. Calculate q.
-674
Find u such that 2*u**5 + 2*u**4 - 18*u**3 - 18*u**2 = 0.
-3, -1, 0, 3
Let -j**4/5 + 9*j**3/5 - 3*j**2 + 7*j/5 = 0. What is j?
0, 1, 7
Determine n, given that n**3/9 - 7*n**2/9 - 28*n/9 - 20/9 = 0.
-2, -1, 10
Factor 2*f**3/5 - 16*f**2/5 - 56*f/5 + 32.
2*(f - 10)*(f - 2)*(f + 4)/5
Factor -3*a**2/4 - 87*a/2 - 2091/4.
-3*(a + 17)*(a + 41)/4
Find x, given that -6*x**5 + 46*x**4 - 20*x**3 - 60*x**2 + 26*x + 14 = 0.
-1, -1/3, 1, 7
Find w, given that 54*w**5 - 234*w**4 - 222*w**3 + 194*w**2 + 88*w - 40 = 0.
-1, -2/3, 1/3, 2/3, 5
Determine j so that 2*j**4/7 - 38*j**2/7 + 60*j/7 = 0.
-5, 0, 2, 3
Factor -2*s**2/9 - 16*s/3 - 46/9.
-2*(s + 1)*(s + 23)/9
Let -i**4/5 - i**3 - 8*i**2/5 - 4*i/5 = 0. What is i?
-2, -1, 0
Factor 68*b**5 + 296*b**4 + 504*b**3 + 416*b**2 + 164*b + 24.
4*(b + 1)**4*(17*b + 6)
Find c such that c**5/3 + c**4 - c**3 - 7*c**2/3 + 2*c = 0.
-3, -2, 0, 1
Solve -4*j**5 + 9*j**4 + 14*j**3 - 36*j**2 + 8*j = 0.
-2, 0, 1/4, 2
Find i, given that 3*i**5/8 - 27*i**4/4 - 57*i**3/8 = 0.
-1, 0, 19
Factor 2*l**3/7 - 93*l**2/7 + 136*l/7 - 45/7.
(l - 45)*(l - 1)*(2*l - 1)/7
Factor y**3/3 - 50*y**2 + 1971*y - 21316/3.
(y - 73)**2*(y - 4)/3
Factor 3*y**2 + 72*y.
3*y*(y + 24)
Solve -f**3/3 - 112*f**2/3 - 1116*f - 3888 = 0 for f.
-54, -4
Find d such that 7*d**3 + 117*d**2 - 160*d + 36 = 0.
-18, 2/7, 1
Factor 37*f**2 + 79*f + 10.
(f + 2)*(37*f + 5)
Let 25*t**5 - 180*t**4 + 10*t**3 + 180*t**2 - 35*t = 0. What is t?
-1, 0, 1/5, 1, 7
Determine a, given that -18*a**5 + 86*a**4 + 776*a**3 + 1536*a**2 + 1024*a + 160 = 0.
-2, -1, -2/9, 10
Find u such that 2*u**2 + 2*u - 4 = 0.
-2, 1
Find