*s**2/4 + 7*s/6 = 0.
-1, -2/23, 0, 1, 7
Find u, given that -2*u**4/9 + 32*u**3/9 - 34*u**2/3 + 8*u = 0.
0, 1, 3, 12
Factor 2*w**4 - 14*w**3 + 14*w**2 + 30*w.
2*w*(w - 5)*(w - 3)*(w + 1)
Factor 4*z**3 + 20*z**2 - 132*z + 108.
4*(z - 3)*(z - 1)*(z + 9)
Factor -o**5 - 62*o**4 - 272*o**3 + 734*o**2 - 399*o.
-o*(o - 1)**2*(o + 7)*(o + 57)
Let -125*b**5 - 425*b**4 + 1845*b**3 - 715*b**2 - 520*b - 60 = 0. Calculate b.
-6, -1/5, 1, 2
Find t such that -3*t**5 - 555*t**4 = 0.
-185, 0
Factor 2*b**2/3 - 8*b.
2*b*(b - 12)/3
Factor 3*k**2 + 825*k - 828.
3*(k - 1)*(k + 276)
Factor -2*j**3 + 358*j**2 + 1458*j + 1098.
-2*(j - 183)*(j + 1)*(j + 3)
Factor -3*m**3/7 + 12*m**2/7 + 3*m - 30/7.
-3*(m - 5)*(m - 1)*(m + 2)/7
Factor -c**4/2 - 222*c**3 - 25082*c**2 - 97680*c - 96800.
-(c + 2)**2*(c + 220)**2/2
Determine y, given that 5*y**4 + 1280*y**3 + 3810*y**2 + 3800*y + 1265 = 0.
-253, -1
Determine m, given that -m**5/2 - 3*m**4 - 9*m**3/2 - 2*m**2 = 0.
-4, -1, 0
What is j in -6*j**5/5 + 2*j**4/5 + 16*j**3/5 + 8*j**2/5 = 0?
-1, -2/3, 0, 2
Suppose -3*n**4 - 60*n**3 - 426*n**2 - 1260*n - 1323 = 0. Calculate n.
-7, -3
Solve -8*w**5/3 - 278*w**4/9 - 860*w**3/9 - 262*w**2/9 + 464*w/9 + 40/3 = 0.
-6, -5, -1, -1/4, 2/3
Let 2*j**4/7 - 1524*j**3/7 + 290320*j**2/7 + 1524*j/7 - 290322/7 = 0. What is j?
-1, 1, 381
Solve 12*r**4/5 - 16*r**3/5 - 8*r**2/5 + 16*r/5 - 4/5 = 0 for r.
-1, 1/3, 1
Factor 2*s**2/11 + 26*s/11 - 60/11.
2*(s - 2)*(s + 15)/11
What is m in 4*m**5/7 - 664*m**4/7 + 6917*m**3/7 - 2129*m**2 - 20424*m/7 - 5580/7 = 0?
-1/2, 6, 155
Solve 5*p**4 - 60*p**3 - 225*p**2 = 0.
-3, 0, 15
Determine q, given that 2*q**4/17 + 128*q**3/17 + 2172*q**2/17 + 3968*q/17 + 1922/17 = 0.
-31, -1
Factor 3*t**2 + 84*t + 288.
3*(t + 4)*(t + 24)
Factor -2*d**4 + 508*d**3 - 33258*d**2 + 127000*d - 125000.
-2*(d - 125)**2*(d - 2)**2
Factor -2*o**3/5 + 2*o**2 + 114*o/5 + 198/5.
-2*(o - 11)*(o + 3)**2/5
Find t, given that -5*t**4 - 20*t**3 + 5*t**2 + 20*t = 0.
-4, -1, 0, 1
Factor 5*o**3 + 5*o**2 - 85*o + 75.
5*(o - 3)*(o - 1)*(o + 5)
Factor -2*s**3/9 + 10*s**2/9 + 16*s/9 - 8/3.
-2*(s - 6)*(s - 1)*(s + 2)/9
Find x, given that x**3/7 - 5*x**2/7 + 6*x/7 = 0.
0, 2, 3
Let 2*z**2/5 + 332*z/5 - 334/5 = 0. What is z?
-167, 1
Factor 226*p**2/13 - 238*p/13 + 12/13.
2*(p - 1)*(113*p - 6)/13
Factor -5*r**4 + 80*r**3 - 390*r**2 + 720*r - 405.
-5*(r - 9)*(r - 3)**2*(r - 1)
Factor m**2 + 79*m - 80.
(m - 1)*(m + 80)
Factor d**3/2 + 3*d**2/2 - d/2 - 3/2.
(d - 1)*(d + 1)*(d + 3)/2
Factor -2*j**4/7 - 24*j**3/7 - 40*j**2/7.
-2*j**2*(j + 2)*(j + 10)/7
Determine o so that o**5 + 2*o**4 - 8*o**3 + 2*o**2 + 7*o - 4 = 0.
-4, -1, 1
Factor z**3/4 - 39*z**2 + 2028*z - 35152.
(z - 52)**3/4
Factor 4*d**2 + 492*d + 968.
4*(d + 2)*(d + 121)
Factor -2*h**4/7 + 48*h**3/7 + 102*h**2/7 + 52*h/7.
-2*h*(h - 26)*(h + 1)**2/7
Determine j so that j**2/4 + 9*j/4 + 5 = 0.
-5, -4
Factor -4*n**3/3 + 220*n**2/3 - 2912*n/3 - 3136/3.
-4*(n - 28)**2*(n + 1)/3
Factor -l**2/3 - 22*l/3.
-l*(l + 22)/3
Suppose -2*b**3/9 - 4*b**2 - 16*b/3 + 256/9 = 0. What is b?
-16, -4, 2
Factor -2*y**4/9 + 1418*y**3/9.
-2*y**3*(y - 709)/9
Let -6*m**3 - 16*m**2 - 8*m = 0. Calculate m.
-2, -2/3, 0
Find n such that 2*n**2/17 - 6*n = 0.
0, 51
Determine a so that 4*a**5 - 24*a**4 - 12*a**3 + 64*a**2 + 48*a = 0.
-1, 0, 2, 6
Factor 3*p**3 + 66*p**2 - 144*p.
3*p*(p - 2)*(p + 24)
Factor 2*v**5/5 - 6*v**4/5 - 8*v**3/5 + 32*v**2/5 - 32/5.
2*(v - 2)**3*(v + 1)*(v + 2)/5
Factor -2*i**3/11 - 12*i**2/11 - 16*i/11.
-2*i*(i + 2)*(i + 4)/11
Find s, given that 3*s**2 - 738*s + 3615 = 0.
5, 241
Factor l**2/3 - 212*l/3 + 11236/3.
(l - 106)**2/3
Suppose -2*f**2/5 - 118*f + 1188/5 = 0. Calculate f.
-297, 2
Factor 2*x**3/3 + 8*x**2 - 18*x + 28/3.
2*(x - 1)**2*(x + 14)/3
Solve 51*a**5/2 - 207*a**4 + 636*a**3 - 888*a**2 + 504*a - 48 = 0 for a.
2/17, 2
Suppose 4*q**2 - 120*q + 324 = 0. What is q?
3, 27
Suppose -2*y**2 + 118*y = 0. What is y?
0, 59
Suppose 5*o**2 + 5195*o = 0. What is o?
-1039, 0
Factor 2*a**5/17 + 860*a**4/17 + 94154*a**3/17 + 366360*a**2/17 + 362952*a/17.
2*a*(a + 2)**2*(a + 213)**2/17
Factor -5*c**3 - 360*c**2 + 2295*c - 3510.
-5*(c - 3)**2*(c + 78)
Factor 2*c**5/15 - 68*c**4/5 + 1926*c**3/5 - 9792*c**2/5 + 13824*c/5.
2*c*(c - 48)**2*(c - 3)**2/15
Suppose -166*o**3/9 + 328*o**2/9 - 158*o/9 - 4/9 = 0. Calculate o.
-2/83, 1
Factor -28*c**2 - 888*c + 256.
-4*(c + 32)*(7*c - 2)
What is p in 4*p**5 - 76*p**4 - 3712*p**3 + 36688*p**2 + 1056384*p + 1016064 = 0?
-18, -1, 28
Factor 3*x**4/7 + 60*x**3/7 + 54*x**2 + 84*x - 147.
3*(x - 1)*(x + 7)**3/7
Let -2*i**5 - 2*i**4 + 22*i**3 - 14*i**2 - 20*i + 16 = 0. What is i?
-4, -1, 1, 2
Factor -3*h**2 - 15*h.
-3*h*(h + 5)
Determine f so that f**4/2 - 6*f**3 - 3*f**2/2 + 19*f - 12 = 0.
-2, 1, 12
Factor 2*j**5 - 8*j**4 + 32*j**2 - 32*j.
2*j*(j - 2)**3*(j + 2)
Factor 2*w**4/9 - 44*w**3/9 - 34*w**2/3 + 16*w.
2*w*(w - 24)*(w - 1)*(w + 3)/9
What is i in 15*i**4 - 2196*i**3 + 78576*i**2 + 133200*i - 65712 = 0?
-2, 2/5, 74
Factor -p**3 - 24*p**2 - 144*p.
-p*(p + 12)**2
What is g in 4*g**5/7 - 8*g**4/7 - 24*g**3/7 + 16*g**2/7 + 52*g/7 + 24/7 = 0?
-1, 2, 3
Determine p, given that -394*p**3/9 - 392*p**2/9 + 2*p/9 = 0.
-1, 0, 1/197
Determine u so that -3*u**5 - 19*u**4/3 + 250*u**3/3 + 478*u**2/3 - 625*u/3 - 25 = 0.
-5, -3, -1/9, 1, 5
Suppose -2*o**3/7 - 18*o**2/7 - 4*o/7 + 96/7 = 0. What is o?
-8, -3, 2
Factor 2*g**3 - 72*g**2 + 378*g - 540.
2*(g - 30)*(g - 3)**2
Determine t, given that -4*t**3 - 56*t**2 + 1684*t - 1624 = 0.
-29, 1, 14
Factor 3*y**4/4 + 207*y**3/4 - 639*y**2/4 + 645*y/4 - 54.
3*(y - 1)**3*(y + 72)/4
Determine h so that -5*h**5 - 55*h**4 - 30*h**3 + 790*h**2 + 35*h - 735 = 0.
-7, -1, 1, 3
Factor 4*h**3 + 72*h**2 + 432*h + 864.
4*(h + 6)**3
Find c such that -3*c**3/8 + 345*c**2/8 - 171*c/4 = 0.
0, 1, 114
Factor -12*y**3 - 183*y**2 - 477*y - 108.
-3*(y + 3)*(y + 12)*(4*y + 1)
Determine z, given that -z**3 - 11*z**2 - 10*z = 0.
-10, -1, 0
Factor -2*d**2/5 - 24*d/5 - 8.
-2*(d + 2)*(d + 10)/5
Factor -3*x**2 + 1140*x + 2292.
-3*(x - 382)*(x + 2)
Solve g**5/4 - 63*g**4/4 + 365*g**3/2 + 4425*g**2/2 - 875*g/4 - 91875/4 = 0 for g.
-5, 3, 35
Factor -2*t**2/3 - 54*t.
-2*t*(t + 81)/3
What is a in a**5/12 - 275*a**4/12 + 181*a**3/4 + 823*a**2/12 - 272*a/3 - 91 = 0?
-1, 2, 273
Solve t**4/4 + t**3/2 - 11*t**2/4 - 3*t = 0 for t.
-4, -1, 0, 3
Factor -4*f**3 - 92*f**2 + 144*f + 1152.
-4*(f - 4)*(f + 3)*(f + 24)
Factor -2*l**2/13 + 72*l/13 - 46.
-2*(l - 23)*(l - 13)/13
Factor 18*n**2/7 - 1668*n/7 + 38642/7.
2*(3*n - 139)**2/7
Find f, given that 3*f**5 + 33*f**4 + 93*f**3 + 63*f**2 = 0.
-7, -3, -1, 0
Find v such that -14*v**4 + 1096*v**3 - 3490*v**2 + 3008*v - 600 = 0.
2/7, 1, 2, 75
Determine z so that -2*z**5 + 198*z**4 - 952*z**3 + 1128*z**2 = 0.
0, 2, 3, 94
Determine s, given that 4*s**3/5 + 140*s**2 + 29548*s/5 - 95052/5 = 0.
-89, 3
Determine y so that -11*y**3 - 53*y**2 - 34*y + 8 = 0.
-4, -1, 2/11
Let 2*x**5/5 + 2302*x**4/5 + 132710*x**3 + 132250*x**2 = 0. What is x?
-575, -1, 0
Factor b**2/3 + 14*b/3 + 15.
(b + 5)*(b + 9)/3
Let -2*c**3 + 16*c**2 + 62*c + 44 = 0. Calculate c.
-2, -1, 11
Factor p**5/5 - 12*p**4/5 + 11*p**3/5.
p**3*(p - 11)*(p - 1)/5
Determine c, given that c**5/2 + 5*c**4/2 - 33*c**3/2 + 27*c**2/2 = 0.
-9, 0, 1, 3
Suppose -3*m**3 - 3*m**2 + 75*m + 75 = 0. What is m?
-5, -1, 5
Let -15*r**5 + 306*r**4 - 885*r**3 + 246*r**2 + 1044*r - 408 = 0. What is r?
-1, 2/5, 2, 17
Factor 9*p**3 - 48*p**2 - 36*p.
3*p*(p - 6)*(3*p + 2)
Solve t**2 + 74*t + 1369 = 0.
-37
Find g, given that -3*g**4 + 1371*g**3 - 2733*g**2 + 1365*g = 0.
0, 1, 455
Factor 15*f**3 + 125*f**2 + 40*f.
5*f*(f + 8)*(3*f + 1)
Find j, given that j**4 + 10*j**3 + 33*j**2 + 36*j = 0.
-4, -3, 0
Factor -4*f**2 + 112*f + 116.
-4*(f - 29)*(f + 1)
Factor -2*r**4 + 5*r**3 - 2*r**2.
-r**2*(r - 2)*(2*r - 1)
Suppose 5*q**4 - 4205*q**3 + 8375*q**2 + 12585*q = 0. What is q?
-1, 0, 3, 839
Suppose 4*q**5 - 352*q**4 + 8080*q**3 - 14440*q**2 - 8084*q + 14792 = 0. Calculate q.
-1, 1, 2, 43
Find i such that i**2/4 - 33*i/4 + 35 = 0.
5, 28
Solve 3*n**4 + 24*n**3 - 3*n**2 - 24*n = 0.
-8, -1, 0, 1
Factor 2*i**3/5 + 68*i**2 + 1006*i/5 + 668/5.
2*(i + 1)*(i + 2)*(i + 167)/5
Let 2*w**5 - 2*w**4 - 74*w**3 - 70*w**2 = 0. What is w?
-5, -1, 0, 7
Factor b**3/6 + 2*b**2/3 + 2*b/3.
b*(b + 2)**2/6
Fact