or k**3/3 - 28*k**2 + 55*k - 82/3.
(k - 82)*(k - 1)**2/3
Factor g**3 + 6*g**2 + 11*g + 6.
(g + 1)*(g + 2)*(g + 3)
Find s such that 2*s**2/7 - 46*s/7 - 100/7 = 0.
-2, 25
Let -2*l**3 - 2*l**2 + 2*l + 2 = 0. Calculate l.
-1, 1
Factor 5*y**5 + 3990*y**4 + 799985*y**3 + 1588020*y**2 + 792020*y.
5*y*(y + 1)**2*(y + 398)**2
Factor -b**2/10 - 1737*b/5 - 3017169/10.
-(b + 1737)**2/10
Factor 5*t**4 - 320*t**3 - 4320*t**2 - 17920*t - 24320.
5*(t - 76)*(t + 4)**3
Find v, given that 3*v**4 + 663*v**3 + 5271*v**2/4 + 822*v + 657/4 = 0.
-219, -1, -1/2
Factor -5*u**4 + 2030*u**3 - 8055*u**2 + 6030*u.
-5*u*(u - 402)*(u - 3)*(u - 1)
Determine g so that -5*g**2 - 270*g + 275 = 0.
-55, 1
Factor -w**3/3 + w**2 - 2*w/3.
-w*(w - 2)*(w - 1)/3
What is d in 20*d**3 + 175*d**2 - 60*d - 135 = 0?
-9, -3/4, 1
Solve -18*j**4/7 + 670*j**3/7 - 688*j**2/7 - 3768*j/7 + 864/7 = 0 for j.
-2, 2/9, 3, 36
Let -u**2 - 74*u + 480 = 0. Calculate u.
-80, 6
Let 5*x**2 - 200*x + 2000 = 0. What is x?
20
Factor -4*o**4 - 64*o**3 - 172*o**2 + 240*o.
-4*o*(o - 1)*(o + 5)*(o + 12)
Let -5*o**2 - 8540*o - 3646580 = 0. What is o?
-854
Suppose 14*l**2 - 12*l = 0. What is l?
0, 6/7
Factor 2*y**3/11 + 366*y**2/11 + 3510*y/11 + 8650/11.
2*(y + 5)**2*(y + 173)/11
Factor -754*z**2 + 5282*z/7 - 4/7.
-2*(z - 1)*(2639*z - 2)/7
Factor -2*q**3/3 + 6*q.
-2*q*(q - 3)*(q + 3)/3
Solve o**5 - 9*o**4 - 17*o**3 + 117*o**2 + 304*o + 180 = 0 for o.
-2, -1, 5, 9
Find o, given that 2*o**3/13 + 184*o**2/13 + 2560*o/13 + 9728/13 = 0.
-76, -8
Factor h**3/8 - 39*h**2/4 - 81*h/8 + 79/4.
(h - 79)*(h - 1)*(h + 2)/8
Factor -3*m**2 - 2199*m + 8844.
-3*(m - 4)*(m + 737)
Suppose -j**2/2 + 44*j - 968 = 0. What is j?
44
Factor n**2/6 - 13*n/6 - 34/3.
(n - 17)*(n + 4)/6
Let x**4 + 559*x**3/3 + 430*x**2 + 368*x/3 = 0. What is x?
-184, -2, -1/3, 0
Determine f so that -116*f**2 + 572*f + 40 = 0.
-2/29, 5
Solve -a**5/3 + 4*a**4 - 8*a**3/3 - 160*a**2/3 + 144*a - 320/3 = 0.
-4, 2, 10
What is s in s**3 + 22*s**2 - 100*s + 104 = 0?
-26, 2
Find q, given that -3*q**5/2 - 183*q**4/2 - 1827*q**3 - 11280*q**2 + 13200*q = 0.
-22, -20, 0, 1
Suppose -4*h**2 + 84*h - 432 = 0. Calculate h.
9, 12
Determine x, given that 4*x**4 + 22*x**3 + 8*x**2 - 10*x = 0.
-5, -1, 0, 1/2
Factor -2*f**2/3 + 8308*f/3 - 8627858/3.
-2*(f - 2077)**2/3
Determine x so that -4*x**5/3 - 136*x**4/3 - 336*x**3 + 864*x**2 = 0.
-18, 0, 2
Factor l**3 - 49*l**2/2 + 12*l.
l*(l - 24)*(2*l - 1)/2
Determine a, given that 12*a**3 + 13784*a**2 - 18416*a - 18400 = 0.
-1150, -2/3, 2
Factor 5*u**4/2 + 5*u**3/2 - 15*u**2/2 - 25*u/2 - 5.
5*(u - 2)*(u + 1)**3/2
Factor 3*w**2/5 - 1674*w/5 + 1671/5.
3*(w - 557)*(w - 1)/5
Let 2*c**3/7 + 2*c**2 + 32*c/7 + 24/7 = 0. What is c?
-3, -2
Factor -4*c**3 - 44*c**2 + 240*c.
-4*c*(c - 4)*(c + 15)
Factor 4*x**5 - 56*x**4 - 60*x**3.
4*x**3*(x - 15)*(x + 1)
Suppose -5*v**5 - 15*v**4 - 15*v**3 - 5*v**2 = 0. What is v?
-1, 0
What is q in 3*q**2 + 135*q - 3402 = 0?
-63, 18
Find z such that -2*z**2/5 + 76*z/5 + 246/5 = 0.
-3, 41
Let -5*b**2 - 265*b + 270 = 0. Calculate b.
-54, 1
Let 5*p**4 - 180*p**3 + 1615*p**2 + 180*p - 1620 = 0. What is p?
-1, 1, 18
Factor 4*h**3 + 2628*h**2 + 10448*h.
4*h*(h + 4)*(h + 653)
Factor -4*f**2 + 436*f + 888.
-4*(f - 111)*(f + 2)
Solve g**5 - 21*g**4 + 72*g**3 - 68*g**2 = 0 for g.
0, 2, 17
Factor -u**3 + 3*u - 2.
-(u - 1)**2*(u + 2)
Solve -z**5/5 - 8*z**4/5 - z**3 + 14*z**2/5 = 0 for z.
-7, -2, 0, 1
Solve 8*m**4/15 + 2*m**3/3 - 38*m**2/5 + 166*m/15 - 14/3 = 0 for m.
-5, 1, 7/4
Determine s so that -4*s**3 + 164*s**2 - 1400*s - 1568 = 0.
-1, 14, 28
Solve 10*v**5 - 54*v**4 - 40*v**3 + 24*v**2 = 0.
-1, 0, 2/5, 6
Let 2*f**5/13 + 18*f**4/13 + 60*f**3/13 + 92*f**2/13 + 66*f/13 + 18/13 = 0. Calculate f.
-3, -1
Determine b, given that 3*b**3/5 - 161*b**2/5 - 58*b/5 + 216/5 = 0.
-4/3, 1, 54
Solve -2*h**4/9 + 14*h**3/9 - 16*h**2/9 - 32*h/9 = 0.
-1, 0, 4
Find p, given that -15*p**4 - 7180*p**3 + 2435*p**2 + 19180*p + 9580 = 0.
-479, -1, -2/3, 2
Determine w so that 5*w**4 - 510*w**3 + 13985*w**2 - 49980*w + 48020 = 0.
2, 49
Factor 5*p**5 + 25*p**4 - 65*p**3 + 35*p**2.
5*p**2*(p - 1)**2*(p + 7)
Find q, given that -q**5/4 + 3*q**4 - 47*q**3/4 + 18*q**2 - 9*q = 0.
0, 1, 2, 3, 6
What is s in s**2/7 - 60*s/7 - 61/7 = 0?
-1, 61
Determine r so that -2*r**3/7 + 652*r**2/7 = 0.
0, 326
What is q in -4*q**2 + 480*q - 476 = 0?
1, 119
Suppose -g**3 - 7*g**2 - 16*g - 12 = 0. What is g?
-3, -2
Find d, given that 5*d**4 + 15*d**3 - 60*d**2 - 260*d - 240 = 0.
-3, -2, 4
Solve -5*x**2 + 175*x - 620 = 0 for x.
4, 31
Determine x so that -2*x**4 + 8*x**3 + 26*x**2 - 8*x - 24 = 0.
-2, -1, 1, 6
Factor 4*i**5 + 50*i**4 + 144*i**3 + 172*i**2 + 92*i + 18.
2*(i + 1)**3*(i + 9)*(2*i + 1)
Determine u so that 4*u**5 + 44*u**4 + 128*u**3 + 112*u**2 = 0.
-7, -2, 0
Factor 15*h**3/2 - 14*h**2 + 11*h/2 + 1.
(h - 1)**2*(15*h + 2)/2
Let -3*f**3/7 + 51*f**2/7 + 114*f/7 = 0. Calculate f.
-2, 0, 19
Factor 14*o**3/9 - 80*o**2/9 - 122*o/9 - 28/9.
2*(o - 7)*(o + 1)*(7*o + 2)/9
Solve 2*n**2/17 - 128/17 = 0.
-8, 8
Let -6*c**3/11 + 74*c**2/11 + 340*c/11 + 192/11 = 0. What is c?
-3, -2/3, 16
Solve -2*a**5/3 + 6*a**4 + 2*a**3 - 58*a**2/3 + 12*a = 0.
-2, 0, 1, 9
Factor -6*s**2 + 46*s + 16.
-2*(s - 8)*(3*s + 1)
Let s**4/2 + 2*s**3 - 5*s**2/2 - 18*s - 18 = 0. Calculate s.
-3, -2, 3
Solve -y**5/2 - 221*y**4 - 31958*y**3 - 1421100*y**2 + 12960000*y - 27000000 = 0.
-150, 4
Find f, given that -9*f**2 - 1011*f + 1710 = 0.
-114, 5/3
Solve -4*q**2 + 556*q - 1632 = 0.
3, 136
Solve -c**2/2 + 43*c/4 - 21/4 = 0 for c.
1/2, 21
Factor q**3 - 1841*q**2 + 846399*q + 848241.
(q - 921)**2*(q + 1)
Find k, given that -k**2 - 38*k - 240 = 0.
-30, -8
Factor -n**5 - 34*n**4 - 123*n**3 - 90*n**2.
-n**2*(n + 1)*(n + 3)*(n + 30)
Find i such that -3*i**4 + 2571*i**3 - 552120*i**2 + 549552*i = 0.
0, 1, 428
Determine t so that -t**5 + 8*t**3 + 6*t**2 - 7*t - 6 = 0.
-2, -1, 1, 3
Factor r**5 + 8*r**4 + 18*r**3 + 16*r**2 + 5*r.
r*(r + 1)**3*(r + 5)
Find u, given that -2*u**5 + 24*u**4 - 70*u**3 + 40*u**2 + 72*u - 64 = 0.
-1, 1, 2, 8
Factor 2*q**2 - 118*q + 336.
2*(q - 56)*(q - 3)
Suppose -2*c**3/7 + 76*c**2/7 + 78*c/7 = 0. What is c?
-1, 0, 39
Factor -w**2 + 36.
-(w - 6)*(w + 6)
Factor -4*g**2 + 300*g + 3024.
-4*(g - 84)*(g + 9)
Let 196*p**4 - 1736*p**3 + 2752*p**2 - 1464*p + 252 = 0. What is p?
3/7, 1, 7
Factor -4*z**2 - 860*z + 864.
-4*(z - 1)*(z + 216)
Factor 2*p**2/3 - 598*p/3 + 596/3.
2*(p - 298)*(p - 1)/3
Find u, given that -36*u**5/5 + 64*u**4/5 + 448*u**3/5 + 120*u**2 + 292*u/5 + 8 = 0.
-1, -2/9, 5
Find g such that -2*g**4/3 - 8*g**3/3 - 2*g**2 = 0.
-3, -1, 0
Determine o, given that 3*o**4 - 489*o**3 + 22683*o**2 - 213075*o - 236250 = 0.
-1, 14, 75
Factor 2*r**4 + 1480*r**3 + 270824*r**2 - 1101120*r + 1107072.
2*(r - 2)**2*(r + 372)**2
Suppose -36*j**4 + 28*j**3 + 8*j**2 = 0. What is j?
-2/9, 0, 1
Factor -5*i**4 + 100*i**3 - 590*i**2 + 900*i - 405.
-5*(i - 9)**2*(i - 1)**2
Solve 4*x**5 - 68*x**4 + 340*x**3 - 636*x**2 + 360*x = 0.
0, 1, 3, 10
Determine c, given that 25*c**5 - 5*c**4 - 16*c**3 - 4*c**2 = 0.
-2/5, 0, 1
Suppose 3*f**2 - 4164*f + 1444908 = 0. Calculate f.
694
Let -9*p**4/4 - 25*p**3/4 + 15*p**2 + 15*p - 4 = 0. Calculate p.
-4, -1, 2/9, 2
Factor l**4/2 + 6*l**3 - 3*l**2/2 - 19*l - 12.
(l - 2)*(l + 1)**2*(l + 12)/2
Suppose -g**4 - 19*g**3 + 120*g**2 = 0. Calculate g.
-24, 0, 5
Suppose 2*w**2/7 + 870*w/7 + 1732/7 = 0. What is w?
-433, -2
Solve u**2 - 9*u = 0 for u.
0, 9
Find m such that -2*m**2/7 - 4*m/7 + 16/7 = 0.
-4, 2
Suppose 5*k**3 + 95*k**2 - 5*k - 95 = 0. Calculate k.
-19, -1, 1
Find r such that -r**4/5 + 168*r**3/5 - 321*r**2 + 790*r = 0.
0, 5, 158
Let -2*o**3/3 - 20*o**2/3 + 46*o/3 - 8 = 0. Calculate o.
-12, 1
Suppose -2*j**2 - 1018*j + 1020 = 0. Calculate j.
-510, 1
Factor 2*b**2/9 - 28*b/9 - 64/9.
2*(b - 16)*(b + 2)/9
Factor -12*p**3/7 - 1776*p**2/7 - 8655*p/7 - 10725/7.
-3*(p + 143)*(2*p + 5)**2/7
Factor s**3/3 - 7*s**2 - 8*s + 44/3.
(s - 22)*(s - 1)*(s + 2)/3
Determine u, given that -2*u**5 - 52*u**4 - 150*u**3 + 2380*u**2 - 5248*u + 3072 = 0.
-16, 1, 2, 3
Suppose 3*y**5/2 - 5*y**4/2 - 15*y**3/8 + 15*y**2/8 - y/4 = 0. Calculate y.
-1, 0, 1/6, 1/2, 2
Suppose -10*g**4 + 8*g**3 + 14*g**2/5 - 4*g/5 = 0. What is g?
-2/5, 0, 1/5, 1
Factor 4*i**3 + 28*i**2.
4*i**2*(i + 7)
Factor s**4/3 + 61*s**3 + 