*4 - 1836*f**3 + 11232*f**2 - 12960*f - 34992 = 0. What is f?
-27, -6/5, 6
Factor 2*l**3/3 + 76*l**2 - 474*l + 720.
2*(l - 3)**2*(l + 120)/3
Suppose -22*i**4 + 122*i**3/3 + 332*i**2/3 - 328*i/3 + 16 = 0. What is i?
-2, 2/11, 2/3, 3
Factor -5*f**3 + 55*f**2.
-5*f**2*(f - 11)
Factor 6*n**2/5 + 982*n/5 + 652/5.
2*(n + 163)*(3*n + 2)/5
Factor -5*a**3 - 30*a**2 + 45*a + 70.
-5*(a - 2)*(a + 1)*(a + 7)
Determine y, given that -2*y**5 - 358*y**4/3 - 5618*y**3/3 - 2646*y**2 + 7192*y/3 + 6728/3 = 0.
-29, -2, -2/3, 1
Factor 4*h**5 - 32*h**4 - 260*h**3.
4*h**3*(h - 13)*(h + 5)
Factor 3*n**3/5 - 1521*n**2/5 + 606*n.
3*n*(n - 505)*(n - 2)/5
Factor 5*l**3 + 20*l**2 + 25*l + 10.
5*(l + 1)**2*(l + 2)
Determine u so that 75*u**3 - 460*u**2 + 60*u = 0.
0, 2/15, 6
Factor 3*x**4/8 + 12*x**3 + 405*x**2/8.
3*x**2*(x + 5)*(x + 27)/8
Factor -y**2/2 + 275*y - 548.
-(y - 548)*(y - 2)/2
What is o in 8*o**3/19 + 214*o**2/19 - 54*o/19 = 0?
-27, 0, 1/4
Factor 4*h**4 - 96*h**3 + 560*h**2 + 384*h - 2304.
4*(h - 12)**2*(h - 2)*(h + 2)
Factor 3*j**3 - 42*j**2 + 180*j - 216.
3*(j - 6)**2*(j - 2)
Find a, given that -2*a**3 + 972*a**2 - 118098*a = 0.
0, 243
Factor -6*z**3 - 39*z**2 - 51*z + 36.
-3*(z + 3)*(z + 4)*(2*z - 1)
Factor -2*r**2/11 + 1528*r/11 - 291848/11.
-2*(r - 382)**2/11
Let -111*q**2 - 265*q - 14 = 0. Calculate q.
-7/3, -2/37
Find d such that -6*d**5/7 + 50*d**4/7 + 104*d**3/7 - 40*d**2/7 = 0.
-2, 0, 1/3, 10
Solve -2*i**3 - 400*i**2 - 20394*i - 39204 = 0.
-99, -2
Factor -8*l**2 + 61*l - 78.
-(l - 6)*(8*l - 13)
Find j such that 3*j**5/5 - 60*j**4 + 1311*j**3 + 9354*j**2 + 19716*j + 67416/5 = 0.
-2, 53
Determine w so that 3*w**2 - 6*w - 24 = 0.
-2, 4
What is i in -2*i**2/7 - 474*i/7 + 956/7 = 0?
-239, 2
Find o, given that 12*o**3 - 4491*o**2 + 420750*o - 104907 = 0.
1/4, 187
Determine q so that q**5/7 - 16*q**4/7 + 96*q**3/7 - 270*q**2/7 + 351*q/7 - 162/7 = 0.
1, 3, 6
Factor -3*f**2/5 - 39*f/5 + 42/5.
-3*(f - 1)*(f + 14)/5
Factor s**2 - 2156*s + 1162084.
(s - 1078)**2
Factor 3*j**2 + 12*j + 12.
3*(j + 2)**2
What is a in a**5 - 9*a**4 + 14*a**3 + 2*a**2 - 15*a + 7 = 0?
-1, 1, 7
Determine o, given that -5*o**3/4 + 5*o**2/4 + 5*o/4 - 5/4 = 0.
-1, 1
Solve q**4/3 + 8*q**3/3 + 3*q**2 - 6*q = 0.
-6, -3, 0, 1
Factor -5*n**4 - 30*n**3 + 35*n**2.
-5*n**2*(n - 1)*(n + 7)
Determine a, given that -2*a**5/15 + 106*a**4/15 - 382*a**3/15 - 98*a**2/3 = 0.
-1, 0, 5, 49
Suppose z**5/2 - 23*z**3/2 + 9*z**2 + 20*z = 0. Calculate z.
-5, -1, 0, 2, 4
Let 51*i**4/2 - 14*i**3 - 176*i**2/3 - 88*i/3 - 8/3 = 0. What is i?
-2/3, -2/17, 2
Solve -5*t**3 - 190*t**2 = 0 for t.
-38, 0
Factor z**5/5 - 3*z**3/5 - 2*z**2/5.
z**2*(z - 2)*(z + 1)**2/5
Find j such that 5*j**3 - 14980*j**2 + 29945*j - 14970 = 0.
1, 2994
Find f, given that -f**3/3 + 235*f**2/3 - 232*f = 0.
0, 3, 232
Determine a so that 4*a**2 + 96*a + 176 = 0.
-22, -2
Suppose 2*v**5 + 38*v**4 - 176*v**3 + 184*v**2 = 0. Calculate v.
-23, 0, 2
What is l in -60*l**5 - 1484*l**4 - 2324*l**3 + 1644*l**2 + 1856*l + 368 = 0?
-23, -2, -2/5, -1/3, 1
Let m**2/2 + 15*m/2 + 18 = 0. Calculate m.
-12, -3
Find n, given that 4*n**3 + 428*n**2 + 15200*n + 179056 = 0.
-38, -31
Factor f**4/2 - f**2/2.
f**2*(f - 1)*(f + 1)/2
Factor 4*x**4 - 12*x**3 - 24*x**2 + 32*x.
4*x*(x - 4)*(x - 1)*(x + 2)
Factor 2*d**4/9 - 2*d**3 + 44*d**2/9 - 64/9.
2*(d - 4)**2*(d - 2)*(d + 1)/9
Let -5*v**3 + 1165*v**2 + 3530*v + 2360 = 0. Calculate v.
-2, -1, 236
Factor o**2/5 - 51*o/5 + 10.
(o - 50)*(o - 1)/5
Factor 2*l**4 - 18*l**3 + 50*l**2 - 54*l + 20.
2*(l - 5)*(l - 2)*(l - 1)**2
Factor -2*c**5 - 10*c**4 - 12*c**3 + 4*c**2 + 14*c + 6.
-2*(c - 1)*(c + 1)**3*(c + 3)
Determine s so that -4*s**4 + 64*s**3 + 68*s**2 = 0.
-1, 0, 17
Determine m, given that 2*m**5/3 - 2*m**4/3 - 26*m**3 - 238*m**2/3 - 260*m/3 - 32 = 0.
-3, -2, -1, 8
Factor 5*d**2 - 18300*d + 16744500.
5*(d - 1830)**2
Find c, given that c**5/2 - 481*c**4/2 + 43440*c**3 - 3499200*c**2 + 107136000*c - 103680000 = 0.
1, 120
Factor 8*j**2/7 - 4*j - 16/7.
4*(j - 4)*(2*j + 1)/7
Find k such that -k**2 + 4760*k - 5664400 = 0.
2380
Determine y so that -3*y**5/4 - 6*y**4 - 27*y**3/2 - 12*y**2 - 15*y/4 = 0.
-5, -1, 0
Determine i, given that -2*i**4 + 28*i**3 - 98*i**2 = 0.
0, 7
Suppose 21*b**2 + 558*b - 243 = 0. What is b?
-27, 3/7
What is t in -t**3/4 - 59*t**2/4 - 210*t + 225 = 0?
-30, 1
Factor -5*l**2 - 3660*l - 3655.
-5*(l + 1)*(l + 731)
Suppose 3*n**2 - 306*n - 309 = 0. What is n?
-1, 103
Suppose 5*z**3 + 3955*z**2 + 7890*z = 0. Calculate z.
-789, -2, 0
Factor w**4 + 10*w**3 - 4*w**2 - 154*w + 147.
(w - 3)*(w - 1)*(w + 7)**2
Factor -p**2/5 - 24*p + 121/5.
-(p - 1)*(p + 121)/5
Suppose h**2/4 + 39*h/4 - 135/2 = 0. Calculate h.
-45, 6
Solve -k**5/2 + 19*k**4/8 + k**3 - 15*k**2/8 = 0.
-1, 0, 3/4, 5
Factor -177*d**2/5 - 537*d/5 - 18/5.
-3*(d + 3)*(59*d + 2)/5
Solve -2*g**4/7 - 24*g**3/7 + 138*g**2/7 + 160*g/7 = 0.
-16, -1, 0, 5
Suppose -2*a**3/5 - 2*a**2 + 16*a/5 + 96/5 = 0. Calculate a.
-4, 3
Factor -4*w**5 + 132*w**4 - 128*w**3.
-4*w**3*(w - 32)*(w - 1)
Factor 5*v**2 + 825*v - 4250.
5*(v - 5)*(v + 170)
Find c, given that 5*c**3 + 1440*c**2 + 105105*c + 204490 = 0.
-143, -2
Solve -2*o**3/5 - 278*o**2 + 5584*o/5 - 5592/5 = 0 for o.
-699, 2
Factor 3*f**2/5 - 99*f/5 + 546/5.
3*(f - 26)*(f - 7)/5
Factor -2*f**2 - 220*f - 6050.
-2*(f + 55)**2
What is l in 5*l**2 - 230*l - 235 = 0?
-1, 47
Determine r, given that -5*r**2 + 850*r - 36125 = 0.
85
Factor -2*s**3 + 78*s**2 - 772*s + 1248.
-2*(s - 24)*(s - 13)*(s - 2)
Determine o so that -3*o**5/4 - 3*o**4/4 + 3*o**3/2 = 0.
-2, 0, 1
Factor -o**3/8 - 27*o**2/4 - 84*o + 196.
-(o - 2)*(o + 28)**2/8
Let -2*b**2/15 - 122*b/15 + 124/15 = 0. What is b?
-62, 1
Let 5*l**3 + 230*l**2 + 445*l + 220 = 0. Calculate l.
-44, -1
Suppose g**3 - 349*g**2 + 1040*g - 692 = 0. What is g?
1, 2, 346
Factor 2*k**3 + 272*k**2 - 854*k - 2780.
2*(k - 5)*(k + 2)*(k + 139)
Find a such that -2*a**5/15 + 14*a**4/5 - 10*a**3 - 722*a**2/15 - 272*a/5 - 96/5 = 0.
-1, 12
Solve 2*w**4/15 + 4*w**3/3 + 32*w**2/15 = 0.
-8, -2, 0
Find t such that -3*t**4/5 - 3*t**3/5 + 6*t**2/5 = 0.
-2, 0, 1
Factor -4*k**2 - 153*k - 38.
-(k + 38)*(4*k + 1)
Factor -2*x**5/17 - 4*x**4/17 + 16*x**3/17 + 32*x**2/17 - 32*x/17 - 64/17.
-2*(x - 2)**2*(x + 2)**3/17
Factor -12*r**3 - 316*r**2 + 568*r + 224.
-4*(r - 2)*(r + 28)*(3*r + 1)
Determine i so that -2*i**5/3 - 12*i**4 - 26*i**3 + 196*i**2/3 + 80*i = 0.
-15, -4, -1, 0, 2
Solve -5*g**4 - 55*g**3 + 5*g**2 + 55*g = 0 for g.
-11, -1, 0, 1
Factor -3*z**3/2 - 297*z**2/2 - 1701*z/2 - 2511/2.
-3*(z + 3)**2*(z + 93)/2
Factor 14*j**2/9 + 38*j/9 + 20/9.
2*(j + 2)*(7*j + 5)/9
Determine v so that 2*v**5/3 + 290*v**4 + 89716*v**3/3 - 1062868*v**2/3 + 1152910*v - 2486450/3 = 0.
-223, 1, 5
Determine r, given that r**3 + 321*r**2 - r - 321 = 0.
-321, -1, 1
Find s such that 4*s**4/5 - 12*s**3/5 + 12*s**2/5 - 4*s/5 = 0.
0, 1
Factor 4*i**3 + 16*i**2 + 4*i - 24.
4*(i - 1)*(i + 2)*(i + 3)
Factor 2*i**5/11 + 4*i**4/11 - 78*i**3/11 + 144*i**2/11.
2*i**2*(i - 3)**2*(i + 8)/11
Solve 2*q**2/5 - 560*q = 0.
0, 1400
Factor 48*i**5 - 216*i**4 + 387*i**3 - 345*i**2 + 153*i - 27.
3*(i - 1)**3*(4*i - 3)**2
What is f in 2*f**2/3 - 24*f + 550/3 = 0?
11, 25
Factor 2*z**2/23 - 240*z/23 + 7200/23.
2*(z - 60)**2/23
Factor 2*z**4/9 + 16*z**3/9 + 14*z**2/3 + 44*z/9 + 16/9.
2*(z + 1)**2*(z + 2)*(z + 4)/9
Factor -5*h**2 - 135*h.
-5*h*(h + 27)
Find j, given that -4*j**3 - 8*j**2 + 12*j = 0.
-3, 0, 1
Find o such that -441*o**2 - 42*o - 1 = 0.
-1/21
Find y, given that -2*y**2/3 - 14*y/3 + 16/3 = 0.
-8, 1
Factor 2*w**2/9 + 3688*w/9 + 1700168/9.
2*(w + 922)**2/9
What is a in -3*a**3 - 24*a**2 + 132*a - 144 = 0?
-12, 2
Solve -5*k**3 + 365*k**2 = 0 for k.
0, 73
Let -3*x**2/2 - 885*x/2 - 441 = 0. Calculate x.
-294, -1
What is q in 3*q**2 - 669*q - 1350 = 0?
-2, 225
Suppose -5*z**4 - 45*z**3 - 140*z**2 - 180*z - 80 = 0. What is z?
-4, -2, -1
What is j in 2*j**4/7 + 10*j**3/7 - 6*j**2 + 46*j/7 - 16/7 = 0?
-8, 1
Find d, given that -44*d**4/3 + 2380*d**3/3 - 172*d**2/3 - 2380*d/3 + 72 = 0.
-1, 1/11, 1, 54
What is c in 5*c**5 - 5*c**4 - 15*c**3 + 5*c**2 + 10*c = 0?
-1, 0, 1, 2
Suppose -99*f**3/2 + 291*f**2/2 - 90*f - 6 = 0. Calculate f.
-2/33, 1, 2
Factor -i**2/4 - 17*i - 67/4.
-(i + 1)*(i + 67)/4
Factor 162*k**4/11 + 612*k**3/11 - 142*k**2/11 + 8*k/11.
2*k*(