
Let n**4/3 + 4*n**3/3 - 28*n**2/3 + 32*n/3 = 0. Calculate n.
-8, 0, 2
Factor 4*k**3 - 148*k**2 + 136*k + 288.
4*(k - 36)*(k - 2)*(k + 1)
Suppose -3*c**5 - 15*c**4 + 39*c**3 - 21*c**2 = 0. Calculate c.
-7, 0, 1
Suppose 68*l**3/3 - 22*l**2 - 410*l/3 - 4 = 0. Calculate l.
-2, -1/34, 3
Determine v, given that v**2/3 + 15*v = 0.
-45, 0
Factor 21*o**3 + 66*o**2 - 75*o - 12.
3*(o - 1)*(o + 4)*(7*o + 1)
Factor 4*i**2 + 492*i + 1440.
4*(i + 3)*(i + 120)
Solve 3*k**4 - 30*k**3 + 87*k**2 - 24*k - 144 = 0 for k.
-1, 3, 4
What is x in -2*x**4/17 - 1040*x**3/17 - 139296*x**2/17 - 1064960*x/17 - 2097152/17 = 0?
-256, -4
Solve -2*b**4/5 + 64*b**3/5 + 438*b**2/5 + 676*b/5 + 304/5 = 0 for b.
-4, -1, 38
Factor 2*i**2/17 + 196*i/17 - 400/17.
2*(i - 2)*(i + 100)/17
Solve -4*l**5/3 - 32*l**4/3 - 24*l**3 + 36*l = 0 for l.
-3, 0, 1
Factor q**5 - 5*q**4 - 30*q**3 - 50*q**2 - 35*q - 9.
(q - 9)*(q + 1)**4
Determine w so that -5*w**3/3 + 5*w**2 - 20/3 = 0.
-1, 2
Solve -3*b**5 - 51*b**4 - 45*b**3 + 51*b**2 + 48*b = 0.
-16, -1, 0, 1
Determine h so that -2*h**5 + 200*h**4 + 832*h**3 = 0.
-4, 0, 104
Let -3*p**3 - 45*p**2 - 42*p = 0. Calculate p.
-14, -1, 0
Factor -5*z**2 - 70*z - 200.
-5*(z + 4)*(z + 10)
Determine x so that -12*x**5 + 4*x**4 + 36*x**3 + 12*x**2 - 8*x = 0.
-1, 0, 1/3, 2
Factor w**4 - 140*w**3 + 5172*w**2 - 19040*w + 18496.
(w - 68)**2*(w - 2)**2
Find w such that -3*w**4 - 24*w**3 - 24*w**2 + 96*w + 144 = 0.
-6, -2, 2
Factor -m**2/2 + 120*m - 1175/2.
-(m - 235)*(m - 5)/2
Factor m**2/2 + 62*m + 1922.
(m + 62)**2/2
Solve -4*p**5/21 - 6*p**4/7 + 110*p**3/21 - 16*p**2/7 - 232*p/21 + 64/7 = 0 for p.
-8, -3/2, 1, 2
Factor v**5/4 - 2*v**4 - 3*v**3 + 11*v**2/2 + 43*v/4 + 9/2.
(v - 9)*(v - 2)*(v + 1)**3/4
Let j**2 - 21*j + 38 = 0. What is j?
2, 19
Determine n, given that -4*n**5/3 + 8*n**4/3 + 8*n**3 - 16*n**2/3 - 52*n/3 - 8 = 0.
-1, 2, 3
Determine w so that -2*w**5 + 12*w**4 - 18*w**3 - 8*w**2 + 24*w = 0.
-1, 0, 2, 3
Find t, given that t**3/5 + 2*t**2/5 + t/5 = 0.
-1, 0
Find p such that -2*p**5/7 - 58*p**4/7 - 614*p**3/7 - 3006*p**2/7 - 6912*p/7 - 864 = 0.
-12, -7, -4, -3
Determine h so that 2*h**5/5 - 8*h**4/5 - 2*h**3/5 + 8*h**2/5 = 0.
-1, 0, 1, 4
Let -4*b**4 + 52*b**3 + 4*b**2 - 52*b = 0. What is b?
-1, 0, 1, 13
Let f**3/6 - 38*f**2/3 + 475*f/6 + 92 = 0. Calculate f.
-1, 8, 69
What is y in -3*y**3/2 + 129*y**2 - 6435*y/2 + 18252 = 0?
8, 39
Factor 9*s**3/2 + 217*s**2/4 + 165*s + 9.
(s + 6)**2*(18*s + 1)/4
Solve -x**3 - 7*x**2 - 6*x = 0.
-6, -1, 0
Factor -4*g**2 + 192*g - 1148.
-4*(g - 41)*(g - 7)
Factor 2*l**3/5 - 8*l**2/5 + 2*l - 4/5.
2*(l - 2)*(l - 1)**2/5
What is x in -5*x**2 + 40*x - 60 = 0?
2, 6
Factor 2*x**2 + 70*x - 792.
2*(x - 9)*(x + 44)
Factor -2*g**5/21 - 50*g**4/21 - 16*g**3 - 96*g**2/7.
-2*g**2*(g + 1)*(g + 12)**2/21
Suppose -9*x**5 - 519*x**4 + 15857*x**3 - 94233*x**2 - 68184*x - 11664 = 0. Calculate x.
-81, -1/3, 12
Determine x so that -12*x**5/5 + 3189*x**4/5 - 1734*x**3 - 483*x**2 + 12612*x/5 + 3156/5 = 0.
-1, -1/4, 2, 263
Let -8112*i**4 + 936*i**3 + 32421*i**2 - 3744*i + 108 = 0. What is i?
-2, 3/52, 2
Factor w**2 - 43*w + 352.
(w - 32)*(w - 11)
Factor x**4/10 + 167*x**3/10 + 7377*x**2/10 + 33777*x/10 + 19683/5.
(x + 2)*(x + 3)*(x + 81)**2/10
Let -3*o**3 - 30*o**2 - 87*o - 60 = 0. Calculate o.
-5, -4, -1
Determine w, given that 2*w**2/3 - 2*w + 4/3 = 0.
1, 2
Determine i so that 2*i**3/7 - 7146*i**2/7 + 8510886*i/7 - 3378821742/7 = 0.
1191
Factor 2*k**4 - 66*k**3 + 64*k**2.
2*k**2*(k - 32)*(k - 1)
Determine f, given that -2*f**4 + 4*f**3 + 24*f**2 - 80*f + 64 = 0.
-4, 2
Factor y**5/2 + 2*y**4 - y**3 - 6*y**2 + 9*y/2.
y*(y - 1)**2*(y + 3)**2/2
Let -2*s**5 - 75*s**4 + 39*s**3 + 38*s**2 = 0. What is s?
-38, -1/2, 0, 1
Factor 2*i**4 - 4*i**3.
2*i**3*(i - 2)
Find n, given that n**2 + 240*n + 239 = 0.
-239, -1
Determine p so that -2*p**4/11 + 2*p**3/11 + 26*p**2/11 - 2*p/11 - 24/11 = 0.
-3, -1, 1, 4
Factor 2*k**4/17 + 248*k**3/17 + 10764*k**2/17 + 182520*k/17 + 830466/17.
2*(k + 7)*(k + 39)**3/17
Factor r**3 + 594*r**2 + 117612*r + 7762392.
(r + 198)**3
Factor p**2/4 - 3*p/4 - 1.
(p - 4)*(p + 1)/4
Factor -2*y**5 + 20*y**4 - 18*y**3.
-2*y**3*(y - 9)*(y - 1)
Determine r, given that 98415*r**4 - 109350*r**3 + 11340*r**2 - 410*r + 5 = 0.
1/27, 1
Determine s so that -3*s**2/2 - 153*s/2 = 0.
-51, 0
Suppose 8*k**3 - 127*k**2 + 496*k + 64 = 0. Calculate k.
-1/8, 8
What is r in r**5/6 + 3*r**4/2 - 13*r**3/3 - 7*r**2 + 25*r/6 + 11/2 = 0?
-11, -1, 1, 3
Determine m so that 3*m**4 - 121*m**3 + 37*m**2 + 121*m - 40 = 0.
-1, 1/3, 1, 40
Suppose 3*f**3 + 1896*f**2 + 297663*f - 602934 = 0. What is f?
-317, 2
Let q**2 + 11*q + 28 = 0. Calculate q.
-7, -4
Let 4*a**5 - 20*a**4 - 36*a**3 + 196*a**2 - 32*a - 240 = 0. Calculate a.
-3, -1, 2, 5
Factor 25*w**4 + 35*w**3 - 230*w**2 + 120*w.
5*w*(w - 2)*(w + 4)*(5*w - 3)
Factor 36*w**4 + 136*w**3 - 464*w**2 + 96*w.
4*w*(w - 2)*(w + 6)*(9*w - 2)
Suppose -6*d**5 - 125*d**4 + 23*d**3 + 42*d**2 = 0. What is d?
-21, -1/2, 0, 2/3
Factor -3*i**5 - 18*i**4 - 42*i**3 - 48*i**2 - 27*i - 6.
-3*(i + 1)**4*(i + 2)
Factor 2*r**3 - 6*r**2 - 50*r - 42.
2*(r - 7)*(r + 1)*(r + 3)
Factor 320*r**3 - 1520*r**2/3 + 775*r/3 - 125/3.
5*(3*r - 1)*(8*r - 5)**2/3
Suppose 4*h**4 + 3*h**3 - 9*h**2 + 2*h = 0. Calculate h.
-2, 0, 1/4, 1
Factor -u**3 + 1131*u**2 - 319224*u - 320356.
-(u - 566)**2*(u + 1)
Factor 6*q**2/7 - 246*q/7 + 1080/7.
6*(q - 36)*(q - 5)/7
Let -5*q**3 - 465*q**2 = 0. Calculate q.
-93, 0
Factor x**2/3 - 2876*x/3 + 2067844/3.
(x - 1438)**2/3
Let -88*o**5 - 435*o**4 - 591*o**3 - 229*o**2 + 15*o = 0. Calculate o.
-3, -1, 0, 5/88
Factor -2*z**4/15 + 8*z**3/15 - 8*z**2/15.
-2*z**2*(z - 2)**2/15
Factor f**2/4 - 35*f/2 + 825/4.
(f - 55)*(f - 15)/4
Find x, given that -10*x**5 + 51*x**4 - 85*x**3 + 48*x**2 - 4*x = 0.
0, 1/10, 1, 2
Determine b, given that -3*b**2 - 72*b - 357 = 0.
-17, -7
Factor 3*n**2/2 + 15*n + 75/2.
3*(n + 5)**2/2
Suppose -j**4 + 4*j**3 - 3*j**2 - 4*j + 4 = 0. What is j?
-1, 1, 2
Factor -3*q**5/2 - 1431*q**4 - 455058*q**3 - 48236148*q**2.
-3*q**2*(q + 318)**3/2
Suppose -5*y**5 + 65*y**4 - 175*y**3 - 245*y**2 = 0. What is y?
-1, 0, 7
Find v such that 3*v**4/7 - 24*v**3/7 + 33*v**2/7 + 24*v/7 - 36/7 = 0.
-1, 1, 2, 6
Determine p, given that -3*p**5 + 18*p**4 = 0.
0, 6
Factor -5*j**5 - 75*j**4 - 325*j**3 - 225*j**2 + 1350*j + 2160.
-5*(j - 2)*(j + 3)**3*(j + 8)
Factor 6*v**3/13 + 40*v**2/13 + 54*v/13 + 20/13.
2*(v + 1)*(v + 5)*(3*v + 2)/13
Factor 6*k**4 - 10*k**3 - 182*k**2 - 294*k.
2*k*(k - 7)*(k + 3)*(3*k + 7)
Factor u**4/6 - 5*u**3 + 14*u**2 - 41*u/3 + 9/2.
(u - 27)*(u - 1)**3/6
Find s such that -2*s**5/7 + 4*s**4/7 + 8*s**3/7 - 4*s**2/7 - 6*s/7 = 0.
-1, 0, 1, 3
Solve 49*k**4/5 + 231*k**3/5 + 45*k**2 - 79*k/5 + 6/5 = 0.
-3, -2, 1/7
Determine q so that -q**4/12 + q**3/6 = 0.
0, 2
Factor -2*o**2/17 - 188*o/17 + 190/17.
-2*(o - 1)*(o + 95)/17
Factor 3*x**2 + 6546*x + 3570843.
3*(x + 1091)**2
Let y**3 - 107*y**2 = 0. Calculate y.
0, 107
Determine p so that p**2 + p = 0.
-1, 0
Find a, given that a**4 + 105*a**3 + 3675*a**2 + 42875*a = 0.
-35, 0
Factor 71148*w**2 - 924*w + 3.
3*(154*w - 1)**2
Solve 2*o**4 - 18*o**3 + 42*o**2 - 38*o + 12 = 0 for o.
1, 6
Factor -5*t**3/2 - 15*t**2/4 + 45*t/2 - 10.
-5*(t - 2)*(t + 4)*(2*t - 1)/4
Solve -18*l**4 - 123*l**3/5 + 33*l**2 + 84*l/5 - 36/5 = 0.
-2, -2/3, 3/10, 1
Factor -w**3/2 + 4*w**2 + 22*w + 24.
-(w - 12)*(w + 2)**2/2
Factor -2*z**2/3 - 104*z/3.
-2*z*(z + 52)/3
Factor s**2 - 156*s + 6084.
(s - 78)**2
Solve 3*d**2/4 + 303*d/4 - 309/2 = 0 for d.
-103, 2
Factor -8*c**3 - 262*c**2 + 626*c - 140.
-2*(c - 2)*(c + 35)*(4*c - 1)
Let -8*r**5 + 131*r**4/3 - 248*r**3/3 + 63*r**2 - 52*r/3 + 4/3 = 0. What is r?
1/8, 1/3, 1, 2
Suppose 3*u**2 + 72*u - 540 = 0. Calculate u.
-30, 6
Factor -4*y**4 - 700*y**3 - 696*y**2.
-4*y**2*(y + 1)*(y + 174)
Factor -v**4/5 + v**3 + 113*v**2/5 - 117*v/5.
-v*(v - 13)*(v - 1)*(v + 9)/5
Factor -14*i**5 - 12*i**4 + 2*i**3.
-2*i**3*(i + 1)*(7*i - 1)
Suppose -3*r**2/7 - 18*r/7 - 24/7 = 0. What is r?
-4, -2
Factor 4*q**3 - 56*q**2 - 640*q - 1408.
4*(q - 22)*(q + 4)**2
Factor 2*n**3 - 2059*n**2/5 + 1844*n/5 + 41.
(n - 205)*(n - 1)*(10*n + 1)/5
Factor -i**5 - 14*i**4 - 66*i**3 - 124*i**2 - 101*i - 30.
-(i + 1)**3*(i + 5)*(i + 6)
Find m, given that 2*m**2/7 - 96*m/7 + 72 = 0.
6, 42
Fa