 x**3/8 + 57*x**2/8 + 11*x/2 - 84 = 0.
-56, -4, 3
Find o, given that -5*o**2 - 290*o + 2275 = 0.
-65, 7
Let 38*n**2 + 300*n = 0. What is n?
-150/19, 0
Let -3*m**2 + 21*m = 0. Calculate m.
0, 7
Factor 3*g**2 + 1884*g + 295788.
3*(g + 314)**2
Suppose 5*h**2/2 - 2325*h/2 - 2335 = 0. What is h?
-2, 467
Suppose 2*x**4/7 - 2*x**3/7 - 6*x**2/7 + 2*x/7 + 4/7 = 0. What is x?
-1, 1, 2
Factor -2*c**4 - 22*c**3 - 22*c**2 + 118*c - 72.
-2*(c - 1)**2*(c + 4)*(c + 9)
Factor -2*p**4 - 10*p**3 - 18*p**2 - 14*p - 4.
-2*(p + 1)**3*(p + 2)
Factor b**5 + 97*b**4 + 2301*b**3 - 2597*b**2 - 4802*b.
b*(b - 2)*(b + 1)*(b + 49)**2
Factor -4*c**2 + 40*c + 11564.
-4*(c - 59)*(c + 49)
Factor l**5 - 162*l**4 + 6721*l**3 - 12960*l**2 + 6400*l.
l*(l - 80)**2*(l - 1)**2
What is p in -5*p**2 - 1610*p - 129605 = 0?
-161
Let 3*i**2/4 - 309*i - 1239/4 = 0. What is i?
-1, 413
Determine z so that 342*z**3 - 680*z**2 - 1034*z - 12 = 0.
-1, -2/171, 3
Factor -x**2/2 - 65*x/2 - 32.
-(x + 1)*(x + 64)/2
What is d in 2*d**2/5 + 34*d/5 - 36/5 = 0?
-18, 1
Factor v**2 + 10*v + 16.
(v + 2)*(v + 8)
Suppose h**5/4 - 15*h**4/2 - 16*h**3 - h**2/2 + 63*h/4 + 8 = 0. Calculate h.
-1, 1, 32
Find s such that 8*s**3/23 + 58*s**2/23 + 48*s/23 - 72/23 = 0.
-6, -2, 3/4
Factor 28*l**3 + 12*l**2 - 232*l + 192.
4*(l - 2)*(l - 1)*(7*l + 24)
What is a in -2*a**2/5 + 86*a/5 - 164/5 = 0?
2, 41
Let -3*n**3 + 216*n**2 - 2193*n + 1980 = 0. What is n?
1, 11, 60
Let -4*k**3 + 372*k**2 - 360*k - 736 = 0. What is k?
-1, 2, 92
Factor -5*n**4 - 22*n**3 - 33*n**2 - 20*n - 4.
-(n + 1)**2*(n + 2)*(5*n + 2)
Solve -35*l**3 + 1830*l**2 - 2305*l + 510 = 0 for l.
2/7, 1, 51
Let -b**4/2 + 4409*b**3/2 - 4857613*b**2/2 - 4870845*b/2 + 4862025 = 0. Calculate b.
-2, 1, 2205
Let -4*h**2 + 464*h - 460 = 0. Calculate h.
1, 115
Find g such that g**2 - 4670*g + 5452225 = 0.
2335
Determine t, given that 3*t**3 + 1305*t**2 + 3888*t = 0.
-432, -3, 0
Solve -7*z**3 + 86*z**2 + 172*z - 56 = 0 for z.
-2, 2/7, 14
Suppose b**3 + 121*b**2 - 245*b + 123 = 0. What is b?
-123, 1
Factor 6*a**2 + 334*a - 112.
2*(a + 56)*(3*a - 1)
Let -3*r**3 + 255*r**2 - 501*r + 249 = 0. Calculate r.
1, 83
Find b such that 35*b**2 + 4770*b + 1360 = 0.
-136, -2/7
Factor 10*x**3/3 - 31*x**2/3 + 25*x/3 - 2.
(x - 2)*(2*x - 1)*(5*x - 3)/3
Factor l**2/4 + 233*l/4 + 229.
(l + 4)*(l + 229)/4
Solve -2*n**4/9 + 8*n**3/9 - 2*n**2/3 = 0.
0, 1, 3
What is t in -2*t**5/7 + 52*t**4/7 + 58*t**3/7 - 108*t**2/7 = 0?
-2, 0, 1, 27
Suppose -216*t**5 - 219*t**4 + 1077*t**3 - 633*t**2 - 9*t = 0. Calculate t.
-3, -1/72, 0, 1
Factor -3*t**5 + 21*t**4 - 54*t**3 + 66*t**2 - 39*t + 9.
-3*(t - 3)*(t - 1)**4
Factor -2*m**3/9 + 6*m**2 - 52*m/9.
-2*m*(m - 26)*(m - 1)/9
Factor -b**3 + 53*b**2 - 102*b.
-b*(b - 51)*(b - 2)
Solve 455*i**2 - 550*i/3 - 5 = 0 for i.
-1/39, 3/7
Let 2*r**3 - 210*r**2 + 208*r = 0. What is r?
0, 1, 104
Factor -2*m**4 + 24*m**3 - 102*m**2 + 176*m - 96.
-2*(m - 4)**2*(m - 3)*(m - 1)
Factor -t**4/2 - 9*t**3 - 36*t**2 + 128*t + 768.
-(t - 4)*(t + 6)*(t + 8)**2/2
Suppose 5*z**4 - 139*z**3/7 + 101*z**2/7 + 3*z/7 = 0. What is z?
-1/35, 0, 1, 3
Factor -3*a**3 + 129*a**2 - 120*a - 252.
-3*(a - 42)*(a - 2)*(a + 1)
Factor -2*q**3 + q**2 + 8*q - 4.
-(q - 2)*(q + 2)*(2*q - 1)
Factor f**3 + 58*f**2 + 57*f.
f*(f + 1)*(f + 57)
Factor h**3/5 + 11*h**2/5 + 36*h/5 + 36/5.
(h + 2)*(h + 3)*(h + 6)/5
Suppose 2*m**4/3 - 14*m**3/3 + 8*m**2/3 + 8*m = 0. What is m?
-1, 0, 2, 6
Find o such that -3*o**3/2 + 210*o**2 - 15111*o/2 + 14283 = 0.
2, 69
Determine u, given that 6*u**3/11 - 144*u**2/11 + 1152*u/11 - 3072/11 = 0.
8
What is v in 4*v**5 - 1668*v**4 = 0?
0, 417
Factor -x**3 - 25*x**2 - 192*x - 432.
-(x + 4)*(x + 9)*(x + 12)
Factor 6*i**2/5 - 174*i/5.
6*i*(i - 29)/5
Determine s, given that 20*s**5 + 40*s**4 - 175*s**3 - 295*s**2 + 400*s + 500 = 0.
-5/2, -1, 2
Determine i, given that 5*i**3 - 2215*i**2 + 2210*i = 0.
0, 1, 442
Solve p**3/2 + 35*p**2/2 + 167*p/2 - 203/2 = 0 for p.
-29, -7, 1
Find o such that -9*o**5 + 145*o**4/4 - 19*o**3/2 - 223*o**2/4 + 2*o + 3 = 0.
-1, -2/9, 1/4, 2, 3
Let -5*r**2/8 - 83*r/4 - 33/8 = 0. Calculate r.
-33, -1/5
Let 4*f**4 - 1060*f**3 - 6468*f**2 - 9756*f = 0. What is f?
-3, 0, 271
Determine o so that -21*o**2/2 + 183*o - 153/2 = 0.
3/7, 17
Suppose -2*f**3 - 128*f**2 + 86*f + 81356 = 0. Calculate f.
-43, 22
Suppose 4*l**5 + 216*l**4 - 452*l**3 - 216*l**2 + 448*l = 0. What is l?
-56, -1, 0, 1, 2
Determine y so that -y**3 - 5*y**2 + 6*y = 0.
-6, 0, 1
Solve 3*f**2 - 39*f - 144 = 0.
-3, 16
Factor 1587*b**2 - 414*b + 27.
3*(23*b - 3)**2
Let 6*c**2/7 + 100*c/7 - 34/7 = 0. What is c?
-17, 1/3
Solve -2*j**3 - 6*j**2 + 56*j = 0 for j.
-7, 0, 4
What is t in -44*t**2/3 + 82*t/3 + 4 = 0?
-3/22, 2
Factor 4*i**2/3 - 60*i + 600.
4*(i - 30)*(i - 15)/3
Determine s, given that s**4 - s**3 - 2*s**2 = 0.
-1, 0, 2
Let 2*t**3/9 - 214*t**2/9 - 434*t/9 - 218/9 = 0. Calculate t.
-1, 109
Solve n**5/2 - 6*n**4 + 21*n**3/2 + 49*n**2 = 0 for n.
-2, 0, 7
Find k such that -4*k**5/3 - 20*k**4/3 + 9*k**3 + 14*k**2/3 - 23*k/3 + 2 = 0.
-6, -1, 1/2, 1
Suppose 2*l**4/11 + 64*l**3/11 - 278*l**2/11 + 356*l/11 - 144/11 = 0. What is l?
-36, 1, 2
Suppose -22*g**3/21 + 24*g**2/7 - 62*g/21 + 4/7 = 0. Calculate g.
3/11, 1, 2
Solve 248*t**4/5 - 2484*t**3/5 + 1248*t**2 - 20*t = 0.
0, 1/62, 5
Determine o so that -28*o**5 + 48*o**4 + 576*o**3 - 1688*o**2 + 732*o + 360 = 0.
-5, -2/7, 1, 3
Factor -6*p**3 - 32*p**2 - 6*p + 20.
-2*(p + 1)*(p + 5)*(3*p - 2)
Factor h**5 + 125*h**4 - 127*h**3 - 125*h**2 + 126*h.
h*(h - 1)**2*(h + 1)*(h + 126)
Factor 2*k**2 + 70*k - 400.
2*(k - 5)*(k + 40)
Factor 2*v**3 + 22*v**2 + 20*v.
2*v*(v + 1)*(v + 10)
Find t, given that t**2/2 - 118*t + 6962 = 0.
118
Determine w, given that -w**4/5 - 474*w**3/5 + 95*w**2 = 0.
-475, 0, 1
Factor -2*l**3/7 - 276*l**2/7 + 8*l/7 + 1104/7.
-2*(l - 2)*(l + 2)*(l + 138)/7
Determine k, given that 3*k**5/4 + 9*k**4/4 - 33*k**3/4 - 153*k**2/4 - 93*k/2 - 18 = 0.
-3, -2, -1, 4
Solve i**4/6 - 6*i**3 + 63*i**2 - 90*i - 2025/2 = 0 for i.
-3, 9, 15
What is v in -2*v**3 + 58*v**2 + 368*v - 952 = 0?
-7, 2, 34
Factor -3*w**2/5 - 30*w - 147/5.
-3*(w + 1)*(w + 49)/5
Factor 2*m**2 - 597*m - 299.
(m - 299)*(2*m + 1)
Solve -2*z**2/17 - 22*z/17 + 4644/17 = 0 for z.
-54, 43
Factor -2*u**2 - 14*u - 24.
-2*(u + 3)*(u + 4)
Factor -3*d**5/2 + 3*d**4/2 + 3*d**3 - 3*d**2 - 3*d/2 + 3/2.
-3*(d - 1)**3*(d + 1)**2/2
Factor -2*b**3/11 + 164*b**2/11.
-2*b**2*(b - 82)/11
Factor -4*f**3 - 916*f**2 - 54656*f - 250880.
-4*(f + 5)*(f + 112)**2
Factor w**3 + 11*w**2 + 39*w + 45.
(w + 3)**2*(w + 5)
Find j such that -2*j**3 - 16*j**2 - 22*j + 40 = 0.
-5, -4, 1
Factor -5*u**3/6 - u**2/3 + 5*u/6 + 1/3.
-(u - 1)*(u + 1)*(5*u + 2)/6
Solve 3*n**3 + 5181*n**2 + 5178*n = 0.
-1726, -1, 0
Find g such that 5*g**5 - 265*g**4 - 270*g**3 = 0.
-1, 0, 54
Factor 4*u**2/7 + 172*u/7 + 160.
4*(u + 8)*(u + 35)/7
Determine m, given that 2*m**4 + 22*m**3 + 66*m**2 + 74*m + 28 = 0.
-7, -2, -1
Suppose 2*z**2/5 - 286*z/5 + 432 = 0. What is z?
8, 135
Find t such that -5*t**3 - 95*t**2 - 600*t - 1260 = 0.
-7, -6
Factor 6*y**2 - 97*y/4 + 1.
(y - 4)*(24*y - 1)/4
Factor -r**4/6 + 5*r**3/6 + 2*r**2/3 - 10*r/3.
-r*(r - 5)*(r - 2)*(r + 2)/6
Factor 3*p**2/5 + 114*p/5 + 1083/5.
3*(p + 19)**2/5
Factor 5*r**4 + 65*r**3 + 110*r**2.
5*r**2*(r + 2)*(r + 11)
Determine i, given that -i**5 - 28*i**4 - 25*i**3 + 54*i**2 = 0.
-27, -2, 0, 1
Let 3*r**4/7 - 207*r**3/7 + 381*r**2/7 + 1395*r/7 + 804/7 = 0. Calculate r.
-1, 4, 67
Find o such that o**3/3 - 31*o**2/6 - 8*o/3 = 0.
-1/2, 0, 16
Find m, given that 4*m**4 - 7*m**3 - 2*m**2 = 0.
-1/4, 0, 2
Find c, given that 9*c**2 + 295*c - 66 = 0.
-33, 2/9
Factor -2*p**3 + 34*p**2 - 182*p + 294.
-2*(p - 7)**2*(p - 3)
What is l in 5*l**5 - 15*l**4 + 10*l**3 + 10*l**2 - 15*l + 5 = 0?
-1, 1
What is a in 5*a**3 + 17880*a**2 + 21312960*a + 8468349440 = 0?
-1192
Find o such that -3*o**2/4 + 48 = 0.
-8, 8
Factor -k**3/5 - 9*k**2/5 + 741*k/5 - 1183.
-(k - 13)**2*(k + 35)/5
Factor -6*h**2 + 105*h + 54.
-3*(h - 18)*(2*h + 1)
Factor 3*f**3 - 114*f**2 + 753*f + 870.
3*(f - 29)*(f - 10)*(f + 1)
Factor -r**3 + 32*r**2 - 285*r + 450.
-(r - 15)**2*(r - 2)
Factor 18*w**3 + 2390*w**2 + 4184*w - 1048.
2*(w + 2)*(w + 131)*(9*w - 2)
Factor -g**3 + 528*g**2.
-g**2*(g - 528)
Factor -5*m**2 + 505*m + 1030.
-5*(m - 103)*(m + 2)
D