**4 + 8*n**2.
-2*n**2*(n - 2)*(n + 2)
What is w in -3*w**4 + 657*w**3 + 4797*w**2 - 11553*w + 6102 = 0?
-9, 1, 226
Let 5*n**2/4 + 765*n/4 + 190 = 0. What is n?
-152, -1
Factor 2*o**4 + 16*o**3 - 38*o**2 + 20*o.
2*o*(o - 1)**2*(o + 10)
Factor f**5 - 2*f**4 + f**3.
f**3*(f - 1)**2
Determine h, given that 3*h**3 - 216*h**2 + 3663*h + 8214 = 0.
-2, 37
Find i such that i**3 + 43*i**2/2 + 181*i/2 + 40 = 0.
-16, -5, -1/2
Factor -16*s**3/5 - 23928*s**2/5 - 11928108*s/5 - 1982053946/5.
-2*(2*s + 997)**3/5
What is c in -3*c**3 - 78*c**2 - 213*c - 138 = 0?
-23, -2, -1
Factor -c**3/6 + c**2/2 + 2*c/3.
-c*(c - 4)*(c + 1)/6
Factor -2*j**2/11 + 50*j/11 + 232/11.
-2*(j - 29)*(j + 4)/11
Let -5*h**2 - 85*h - 210 = 0. What is h?
-14, -3
Factor -2*k**3/15 - 98*k**2/5 + 1248*k/5 - 3816/5.
-2*(k - 6)**2*(k + 159)/15
Factor -j**4/3 + 4*j**3 - 52*j**2/3 + 32*j - 64/3.
-(j - 4)**2*(j - 2)**2/3
Factor s**4/5 - 2*s**3/5 - 64*s**2/5 + 58*s - 45.
(s - 5)**2*(s - 1)*(s + 9)/5
Factor -3*q**2 - 480*q - 19200.
-3*(q + 80)**2
Solve 3*c**2/2 - 213*c/2 - 108 = 0 for c.
-1, 72
Let -2*b**3/13 + 1422*b**2/13 + 4280*b/13 + 2856/13 = 0. What is b?
-2, -1, 714
Factor -a**4/5 + a**3/5 + a**2/5 - a/5.
-a*(a - 1)**2*(a + 1)/5
Solve 4*g**3 + 300*g**2 - 1248*g + 1264 = 0 for g.
-79, 2
Factor -g**3/7 - 1416*g**2/7 + g/7 + 1416/7.
-(g - 1)*(g + 1)*(g + 1416)/7
What is m in -130*m**2 + 795*m - 90 = 0?
3/26, 6
Let -s**2/2 + 661*s - 436921/2 = 0. Calculate s.
661
Factor 2*t**5 - 20*t**4 + 64*t**3 - 64*t**2.
2*t**2*(t - 4)**2*(t - 2)
Factor -4*m**4 + 156*m**3 + 4*m**2 - 156*m.
-4*m*(m - 39)*(m - 1)*(m + 1)
Factor 9*h**5/2 + 26*h**4 + 69*h**3/2 - 9*h**2.
h**2*(h + 3)**2*(9*h - 2)/2
Factor 4*a**4 + 20*a**3 + 4*a**2 - 84*a - 72.
4*(a - 2)*(a + 1)*(a + 3)**2
Factor 13778*n**2/13 - 664*n/13 + 8/13.
2*(83*n - 2)**2/13
Let w**3/9 - 19*w**2/9 - 74*w = 0. What is w?
-18, 0, 37
What is z in -3*z**3 + 171*z**2 - 648*z + 636 = 0?
2, 53
Suppose -3*o**3/7 + 183*o**2/7 + 387*o/7 - 81 = 0. What is o?
-3, 1, 63
Factor 49*b**3/10 + 21*b**2/2 - 117*b/10 + 27/10.
(b + 3)*(7*b - 3)**2/10
Determine j, given that -j**2 - 31*j + 32 = 0.
-32, 1
Find m such that 640*m**5 + 736*m**4 - 358*m**3 - 700*m**2 - 282*m - 36 = 0.
-1, -2/5, -3/8, 1
Determine x, given that -3*x**4 - 3*x**3 + 36*x**2 + 84*x + 48 = 0.
-2, -1, 4
Factor -4*w**4 + 820*w**3 - 57084*w**2 + 1418524*w - 4812208.
-4*(w - 67)**3*(w - 4)
Determine w so that w**2/5 - 7*w + 30 = 0.
5, 30
Factor 5*w**5 + 1255*w**4 - 2530*w**3.
5*w**3*(w - 2)*(w + 253)
Suppose 2*j**2/15 + 14*j/5 - 328/3 = 0. Calculate j.
-41, 20
What is l in -3*l**3/4 - 60*l**2 + 1209*l + 126852 = 0?
-62, 44
Factor 2*i**3/9 + 10*i**2/9 - 16*i/9 - 8/3.
2*(i - 2)*(i + 1)*(i + 6)/9
Factor -2*g**5/15 + 2*g**4/5 - 8*g**2/15.
-2*g**2*(g - 2)**2*(g + 1)/15
Factor x**2/10 + 103*x/5 - 387/2.
(x - 9)*(x + 215)/10
Find z, given that -2*z**3/7 + 60*z**2/7 + 2*z/7 - 60/7 = 0.
-1, 1, 30
Factor -2*z**2 - 10*z + 48.
-2*(z - 3)*(z + 8)
Let j**3/5 - 16*j**2/5 + 3*j = 0. What is j?
0, 1, 15
Factor t**5/2 + 108*t**4 + 7666*t**3 + 170747*t**2 - 1135077*t/2 + 389017.
(t - 2)*(t - 1)*(t + 73)**3/2
Factor 3*v**5 - 123*v**3 + 216*v**2 + 336*v.
3*v*(v - 4)**2*(v + 1)*(v + 7)
Factor 4*i**2 + 40*i - 96.
4*(i - 2)*(i + 12)
Factor 6*r**3/7 + 2*r**2/7 - 156*r/7 - 272/7.
2*(r + 2)*(r + 4)*(3*r - 17)/7
Factor -2*g**3/3 - 28*g**2/3 - 86*g/3 - 20.
-2*(g + 1)*(g + 3)*(g + 10)/3
Factor -2*q**4/7 + 12*q**3 - 792*q**2/7 - 1936*q/7.
-2*q*(q - 22)**2*(q + 2)/7
Find s, given that 450*s**5 - 330*s**4 - 1012*s**3 - 248*s**2 - 16*s = 0.
-1, -2/15, 0, 2
Factor 364*y**3/3 - 4608*y**2 + 43700*y + 2888/3.
4*(y - 19)**2*(91*y + 2)/3
Suppose -2*h**3 - 22*h**2 + 24*h = 0. What is h?
-12, 0, 1
Determine p so that -p**3/3 + 40*p**2/3 + 173*p/3 + 44 = 0.
-3, -1, 44
Determine l, given that -l**3/2 + 35*l**2/2 - 62*l = 0.
0, 4, 31
Suppose 4*k**2 - 112*k + 108 = 0. What is k?
1, 27
What is b in -4*b**2/7 + 36/7 = 0?
-3, 3
Find p, given that 3*p**2/7 - 2985*p/7 - 2988/7 = 0.
-1, 996
Factor -w**2/4 + 15*w/8 - 11/4.
-(w - 2)*(2*w - 11)/8
Let -2*l**4/19 + 82*l**3/19 + 42*l**2/19 - 24138*l/19 + 69984/19 = 0. Calculate l.
-16, 3, 27
Find w, given that -w**3 + 325*w**2 = 0.
0, 325
Factor k**4/6 - k**3/6 - 19*k**2/2 + 145*k/6 + 100/3.
(k - 5)**2*(k + 1)*(k + 8)/6
Suppose 18*h**4/11 - 32*h**3/11 - 134*h**2/11 - 100*h/11 - 16/11 = 0. What is h?
-1, -2/9, 4
Find w such that -2*w**2/13 + 1114*w/13 = 0.
0, 557
Find x, given that -2*x**3 - 46*x**2/7 - 40*x/7 - 8/7 = 0.
-2, -1, -2/7
Factor 2*h**3 - 200*h**2 - 1714*h - 1512.
2*(h - 108)*(h + 1)*(h + 7)
Factor -2*t**2/17 + 18*t/17 - 16/17.
-2*(t - 8)*(t - 1)/17
Determine a so that 2*a**2/3 + 296*a/3 = 0.
-148, 0
Let 2*o**4/5 + 36*o**3/5 + 122*o**2/5 - 72*o + 40 = 0. Calculate o.
-10, 1
Factor z**3/2 + 49*z**2/2 + 23*z - 48.
(z - 1)*(z + 2)*(z + 48)/2
Factor -3*b**3/5 - 72*b**2/5 - 189*b/5.
-3*b*(b + 3)*(b + 21)/5
Suppose 2*v**2/9 + 68*v/9 + 62/3 = 0. What is v?
-31, -3
Factor 2*l**2 - 748*l + 69938.
2*(l - 187)**2
Let 5*n**2/4 + 65*n/4 + 15 = 0. Calculate n.
-12, -1
Solve -14*k**5 - 108*k**4 - 136*k**3 + 48*k**2 = 0.
-6, -2, 0, 2/7
Suppose f**3/9 - 33*f**2 + 3267*f - 107811 = 0. Calculate f.
99
Factor 3*a**2/5 - 5676*a/5 + 2684748/5.
3*(a - 946)**2/5
Find m such that -4*m**2 + 112*m = 0.
0, 28
Find n such that -3*n**2/4 + 129*n/4 - 609/2 = 0.
14, 29
Let -4*k**5/9 + 22*k**4/9 + 2*k**3 - 34*k**2/9 - 14*k/9 + 4/3 = 0. Calculate k.
-1, 1/2, 1, 6
Suppose -2*r**5 - 23*r**4 + 42*r**3 + 37*r**2 - 26*r = 0. Calculate r.
-13, -1, 0, 1/2, 2
Let -2*q**3/11 + 2*q**2/11 + 84*q/11 = 0. What is q?
-6, 0, 7
Suppose -5*n**3 + 95*n**2 + 2550*n = 0. What is n?
-15, 0, 34
Solve 4*m**3/5 + 712*m**2/5 + 31684*m/5 = 0 for m.
-89, 0
Determine m, given that -2*m**3/7 + 4*m**2/7 - 2*m/7 = 0.
0, 1
Suppose -3*n**2/7 + 3*n/7 + 36/7 = 0. What is n?
-3, 4
Solve -2*g**3/13 - 20*g**2/13 - 34*g/13 + 56/13 = 0 for g.
-7, -4, 1
Factor -156*v**3 - 4048*v**2 - 26156*v + 1352.
-4*(v + 13)**2*(39*v - 2)
Factor -2*t**4/9 - 14*t**3/9 - 10*t**2/3 - 2*t.
-2*t*(t + 1)*(t + 3)**2/9
Factor x**3/8 + 141*x**2/4 + 6627*x/2 + 103823.
(x + 94)**3/8
Factor t**2/4 - 4*t - 17/4.
(t - 17)*(t + 1)/4
Factor 48*s**4 - 4488*s**3 - 2253*s**2 - 282*s.
3*s*(s - 94)*(4*s + 1)**2
Factor -m**4/2 - 14*m**3 + 15*m**2 + 14*m - 29/2.
-(m - 1)**2*(m + 1)*(m + 29)/2
Factor 2*y**3 - 46*y**2 - 48*y.
2*y*(y - 24)*(y + 1)
Factor -3*m**2/7 + 135*m/7 - 150.
-3*(m - 35)*(m - 10)/7
Suppose 3*g**4 - 3*g**3/2 - 12*g**2 + 6*g = 0. What is g?
-2, 0, 1/2, 2
Suppose -5*d**3 - 8*d**2 - d + 2 = 0. What is d?
-1, 2/5
Factor 2*x**2 + 124*x - 1950.
2*(x - 13)*(x + 75)
Factor -3*h**5 - 13*h**4 - 22*h**3 - 18*h**2 - 7*h - 1.
-(h + 1)**4*(3*h + 1)
Determine v, given that -2*v**3/3 - 122*v**2/3 + 514*v/3 - 130 = 0.
-65, 1, 3
Factor 3*n**2 - 5610*n + 2622675.
3*(n - 935)**2
Suppose -3*s**4/8 + 27*s**3/8 + 135*s**2/4 = 0. What is s?
-6, 0, 15
Let -4*b**5 + 56*b**4 + 268*b**3 + 352*b**2 + 144*b = 0. What is b?
-2, -1, 0, 18
Determine u, given that -4*u**4/9 + 1130*u**3/9 + 2842*u**2/9 + 2278*u/9 + 190/3 = 0.
-1, -1/2, 285
Find g, given that g**5/2 - 5*g**4/2 - 5*g**3 + 10*g**2 + 12*g = 0.
-2, -1, 0, 2, 6
Suppose 4*g**5 + 316*g**4 + 308*g**3 - 316*g**2 - 312*g = 0. What is g?
-78, -1, 0, 1
Solve 5*n**3 - 1770*n**2 + 208860*n - 8215160 = 0.
118
Factor t**5 - 3*t**4 - t**3 + 3*t**2.
t**2*(t - 3)*(t - 1)*(t + 1)
Factor 30*i**2 - 51*i + 21.
3*(i - 1)*(10*i - 7)
Find p such that p**5 + 3*p**4 - 15*p**3 - 19*p**2 + 30*p = 0.
-5, -2, 0, 1, 3
Suppose -31*p**3/3 - 185*p**2/3 + 2*p = 0. Calculate p.
-6, 0, 1/31
Let 3*m**3 + 126*m**2 + 357*m + 234 = 0. What is m?
-39, -2, -1
Let -3*z**5/7 + 15*z**4/7 - 9*z**3/7 - 15*z**2/7 + 12*z/7 = 0. What is z?
-1, 0, 1, 4
Factor i**3/3 - 7*i**2/3 + 4*i.
i*(i - 4)*(i - 3)/3
Let 2*m**3/7 + 206*m**2/7 + 4982*m/7 - 16854/7 = 0. What is m?
-53, 3
Factor -5*i**4 + 90*i**2 + 160*i + 75.
-5*(i - 5)*(i + 1)**2*(i + 3)
Factor -2*a**3/9 + 86*a**2/9 + 1330*a/9 - 7350.
-2*(a - 35)**2*(a + 27)/9
What is y in 4*y**2 - 1916*y = 0?
0, 479
Find i, given that 2*i**5 - 14*i**4 + 24*i**3 + 32*i**2 - 128*i + 96 = 0.
-2, 2, 3
Factor 2*s**3/11 - 28*s**2/11 - 14*s + 180/11.
2*(s - 18)*(s - 1)*(s + 5)/11
Let -d**2/10 - 52*d/5 - 1352/5 = 0. What is d?
-52
Find c, given that 10*c**3/9 - 2*c**2/9 - 124*c/9 - 112/9 =