e -y**2/3 + y/3 + 30 = 0.
-9, 10
Solve b**2/5 - 3829*b/5 = 0.
0, 3829
Factor -5*y**4 - 45*y**3 - 135*y**2 - 155*y - 60.
-5*(y + 1)**2*(y + 3)*(y + 4)
Let 3*y**5 - 14*y**4 - y**3 + 60*y**2 - 36*y = 0. Calculate y.
-2, 0, 2/3, 3
Factor 5*r**5 + 10*r**4 - 5*r**3 - 10*r**2.
5*r**2*(r - 1)*(r + 1)*(r + 2)
Solve c**3 + 7*c**2 - 10*c - 16 = 0.
-8, -1, 2
Factor 12*f**5 + 28*f**4 + 20*f**3 + 4*f**2.
4*f**2*(f + 1)**2*(3*f + 1)
Let w**3 + 23*w**2 + 136*w + 240 = 0. Calculate w.
-15, -4
Factor f**4/2 + 96*f**3 + 5045*f**2 + 40404*f - 91091/2.
(f - 1)*(f + 11)*(f + 91)**2/2
Find s, given that 4*s**2 + 932*s + 1848 = 0.
-231, -2
Determine l so that l**4 + 8*l**3 + 5*l**2 - 14*l = 0.
-7, -2, 0, 1
Factor 44*l**3 + 20*l**2 - 396*l - 180.
4*(l - 3)*(l + 3)*(11*l + 5)
Suppose 4*y**5/7 - 16*y**4/7 + 24*y**3/7 - 16*y**2/7 + 4*y/7 = 0. Calculate y.
0, 1
Let c**5 - 9*c**4/2 + c**3 + 9*c**2/2 - 2*c = 0. Calculate c.
-1, 0, 1/2, 1, 4
What is f in 3*f**2/5 + 21*f = 0?
-35, 0
Let -2*v**4/7 + 4*v**3/7 + 10*v**2/7 - 12*v/7 = 0. What is v?
-2, 0, 1, 3
Factor 3*q**3/8 + 63*q**2 + 3528*q + 65856.
3*(q + 56)**3/8
Solve -6*p**5 - 57*p**4 - 24*p**3 + 27*p**2 = 0.
-9, -1, 0, 1/2
Determine n, given that -2*n**4 + 232*n**3/3 - 590*n**2/3 + 508*n/3 - 48 = 0.
2/3, 1, 36
Solve -2*a**4 - 82*a**3 - 78*a**2 + 82*a + 80 = 0 for a.
-40, -1, 1
Factor -2*t**2 - 46*t + 156.
-2*(t - 3)*(t + 26)
What is u in -5*u**5 + 165*u**4 + 345*u**3 + 175*u**2 = 0?
-1, 0, 35
Suppose -2*p**5/17 - 2*p**4/17 + 26*p**3/17 + 2*p**2/17 - 24*p/17 = 0. Calculate p.
-4, -1, 0, 1, 3
Solve 3*h**3 - 24*h**2 + 33*h + 60 = 0 for h.
-1, 4, 5
Determine j, given that -105*j**5 - 250*j**4 + 185*j**3 - 30*j**2 = 0.
-3, 0, 2/7, 1/3
Factor -28*w**3/9 - 4*w**2 + 2008*w/9 + 64.
-4*(w - 8)*(w + 9)*(7*w + 2)/9
Factor 3*b**2 - 75*b + 342.
3*(b - 19)*(b - 6)
Factor b**3 + 23*b**2 + 22*b.
b*(b + 1)*(b + 22)
Find l, given that -l**5/2 - 5*l**4/2 - l**3 + 10*l**2 + 12*l = 0.
-3, -2, 0, 2
Factor x**2 + 16*x.
x*(x + 16)
Solve 12*m**3/7 + 44*m**2/7 - 556*m/7 + 180/7 = 0 for m.
-9, 1/3, 5
Factor y**4/4 - y**2/2 + 1/4.
(y - 1)**2*(y + 1)**2/4
Factor 4*k**2 - 812*k.
4*k*(k - 203)
Let -z**3/4 + z**2 - 5*z/4 + 1/2 = 0. Calculate z.
1, 2
Factor 23*j**2 + 205*j/3 - 2.
(j + 3)*(69*j - 2)/3
Factor -k**5/4 + 93*k**4/4 - 2019*k**3/4 - 6625*k**2/4 - 1704*k - 576.
-(k - 48)**2*(k + 1)**3/4
Factor -3*h**3 - 354*h**2 - 696*h.
-3*h*(h + 2)*(h + 116)
Solve -15*a**4 - 568*a**3 + 1321*a**2 + 1634*a - 240 = 0.
-40, -1, 2/15, 3
Factor -a**3/8 - 41*a**2/8 - 5*a.
-a*(a + 1)*(a + 40)/8
Factor 2*h**3/11 + 8*h**2/11 - 456*h/11 + 864/11.
2*(h - 12)*(h - 2)*(h + 18)/11
Factor v**2/8 - 15*v/2.
v*(v - 60)/8
Suppose 2*d**4 - 1760*d**3 - 2*d**2 + 1760*d = 0. What is d?
-1, 0, 1, 880
Factor -9*v**4 + 16*v**3 + 67*v**2 + 50*v + 8.
-(v - 4)*(v + 1)**2*(9*v + 2)
Factor -o**3 - 42*o**2 - 513*o - 1444.
-(o + 4)*(o + 19)**2
Factor h**3/2 - 2439*h**2/2 + 1982907*h/2 - 537367797/2.
(h - 813)**3/2
Solve -o**4/7 - 24*o**3/7 + o**2/7 + 24*o/7 = 0 for o.
-24, -1, 0, 1
Factor -2*d**3 + 12*d**2 + 2*d - 12.
-2*(d - 6)*(d - 1)*(d + 1)
Factor -3*u**2/2 + 255*u/2 - 711.
-3*(u - 79)*(u - 6)/2
Factor -f**2/4 + 623*f/4 + 156.
-(f - 624)*(f + 1)/4
Find f such that -f**3 + 753*f**2 - 1503*f + 751 = 0.
1, 751
Factor -5*m**5 + 55*m**4 - 210*m**3 + 270*m**2 + 135*m - 405.
-5*(m - 3)**4*(m + 1)
Find u such that -80*u**2 + 372*u - 136 = 0.
2/5, 17/4
Suppose -3*s**3 + 87*s**2 - 537*s - 627 = 0. What is s?
-1, 11, 19
What is b in -3*b**2/2 - 93*b/2 - 45 = 0?
-30, -1
Find x, given that -4*x**2/7 + 7832*x/7 - 3833764/7 = 0.
979
Determine g so that -3*g**2 + 312*g + 315 = 0.
-1, 105
Factor -y**4/2 - 10*y**3 - 62*y**2 - 120*y.
-y*(y + 4)*(y + 6)*(y + 10)/2
Factor 24*c**3/5 - 87*c**2/5 + 12*c + 36/5.
3*(c - 2)**2*(8*c + 3)/5
Factor 20*l**3 - 745*l**2 - 2215*l + 600.
5*(l - 40)*(l + 3)*(4*l - 1)
Let -15*s**2 + 500*s + 515 = 0. What is s?
-1, 103/3
Factor -z**5/2 - 7*z**4 + 43*z**3 - 82*z**2 + 131*z/2 - 19.
-(z - 2)*(z - 1)**3*(z + 19)/2
Suppose 3*u**3/2 + 201*u**2/2 - 411*u/2 + 207/2 = 0. Calculate u.
-69, 1
Factor 2*h**2 - 1760*h - 8850.
2*(h - 885)*(h + 5)
Factor 14*y**5 - 290*y**4 + 1974*y**3 - 4214*y**2 - 1372*y.
2*y*(y - 7)**3*(7*y + 2)
Factor 2*c**4 - 28*c**3 + 70*c**2 - 44*c.
2*c*(c - 11)*(c - 2)*(c - 1)
Factor -4*u**3 - 88*u**2 - 304*u - 288.
-4*(u + 2)**2*(u + 18)
Let g**4/4 + 391*g**3/4 + 2295*g**2/4 - 5767*g/4 + 770 = 0. What is g?
-385, -8, 1
Suppose -15*q**2/7 + 17*q/7 = 0. What is q?
0, 17/15
Factor 3*y**2 + 27*y + 24.
3*(y + 1)*(y + 8)
Factor -3*s**2 + 426*s + 864.
-3*(s - 144)*(s + 2)
Solve -4*f**2 + 240*f - 3456 = 0 for f.
24, 36
Solve -i**3/5 - 49*i**2 - 15128*i/5 - 14884/5 = 0.
-122, -1
Let -d**2 - 942*d + 943 = 0. Calculate d.
-943, 1
Factor -u**4 + 44*u**3 - 726*u**2 + 5324*u - 14641.
-(u - 11)**4
Solve w**3 - 34*w**2 + 65*w - 32 = 0.
1, 32
Factor 6*o**3/5 - 21*o**2/5 + 3*o/5 + 6.
3*(o - 2)*(o + 1)*(2*o - 5)/5
Let 5*v**3 + 250*v**2 - 265*v - 510 = 0. What is v?
-51, -1, 2
Find q, given that -4*q**4/7 + 44*q**3/7 + 16*q**2/7 - 176*q/7 = 0.
-2, 0, 2, 11
Suppose 2*h**5 - 4*h**4 - 52*h**3 - 112*h**2 - 94*h - 28 = 0. Calculate h.
-2, -1, 7
Factor -3*h**2 - 2214*h + 2217.
-3*(h - 1)*(h + 739)
Suppose n**3/4 - 5*n**2/4 + 3*n/4 + 9/4 = 0. Calculate n.
-1, 3
Factor 2*c**2 - 8*c - 384.
2*(c - 16)*(c + 12)
Find i such that -i**3/4 + 3*i**2/2 - 2*i = 0.
0, 2, 4
Suppose -a**5/2 - 237*a**4/2 - 6959*a**3 + 7677*a**2 + 71519*a/2 + 42483/2 = 0. Calculate a.
-119, -1, 3
Factor -4*d**2 - 11*d + 3.
-(d + 3)*(4*d - 1)
Factor g**3/6 - 513*g**2/2 + 263169*g/2 - 45001899/2.
(g - 513)**3/6
Factor d**2/5 - 102*d/5 + 2601/5.
(d - 51)**2/5
Solve -4*m**5 - 8*m**4 + 24*m**3 + 80*m**2 + 76*m + 24 = 0.
-2, -1, 3
Find w, given that -28*w**5 + 148*w**4 - 264*w**3 + 176*w**2 - 32*w = 0.
0, 2/7, 1, 2
Factor -f**4/3 + 19*f**3/3 - 112*f**2/3 + 52*f + 96.
-(f - 8)*(f - 6)**2*(f + 1)/3
Determine n so that -7*n**5/3 - 29*n**4/3 - 6*n**3 + 26*n**2/3 + 25*n/3 + 1 = 0.
-3, -1, -1/7, 1
Factor 3*m**5/5 + 26*m**4/5 + 72*m**3/5 + 54*m**2/5 - 27*m/5.
m*(m + 3)**3*(3*m - 1)/5
Let 3*s**3/4 + 3*s**2/2 - 27*s/4 - 27/2 = 0. Calculate s.
-3, -2, 3
Factor -3*p**4 + 33*p**3 - 99*p**2 + 111*p - 42.
-3*(p - 7)*(p - 2)*(p - 1)**2
Factor 5*n**4 - 7050*n**3 + 3313500*n**2 - 519115000*n.
5*n*(n - 470)**3
What is k in 2*k**5/9 + 46*k**4/9 + 22*k**3 - 134*k**2/9 - 520*k/9 + 136/3 = 0?
-17, -6, -2, 1
Factor 4*o**4 - 12*o**3 + 16*o.
4*o*(o - 2)**2*(o + 1)
Find j such that 3*j**3 + 9*j**2 - 66*j - 72 = 0.
-6, -1, 4
Factor 4*d**4 - 20*d**3 + 13*d**2 + 30*d + 9.
(d - 3)**2*(2*d + 1)**2
Factor 4*m**3 + 256*m**2 + 960*m.
4*m*(m + 4)*(m + 60)
Solve d**3/2 + 5*d**2 + 33*d/2 + 18 = 0.
-4, -3
Factor -5*v**3 - 75*v**2/2 + 65*v - 45/2.
-5*(v - 1)*(v + 9)*(2*v - 1)/2
Find n such that n**2 + 3*n - 10 = 0.
-5, 2
Solve -t**4/2 - 7*t**3/2 + 11*t**2 + 14*t - 36 = 0 for t.
-9, -2, 2
Factor 5*y**5 + 35*y**4 - 135*y**3 + 145*y**2 - 50*y.
5*y*(y - 1)**3*(y + 10)
Let 300*m**4 - 280*m**3 - 5459*m**2/3 - 361*m/3 - 2 = 0. Calculate m.
-2, -1/30, 3
Factor z**2/3 - 4/3.
(z - 2)*(z + 2)/3
Factor o**4/2 + 75*o**3/2 - 116*o**2 + 78*o.
o*(o - 2)*(o - 1)*(o + 78)/2
What is t in -2*t**5 + 152*t**4 + 6*t**3 - 460*t**2 + 304*t = 0?
-2, 0, 1, 76
Solve l**4/5 - 6*l**3/5 - 5*l**2 - 18*l/5 = 0 for l.
-2, -1, 0, 9
Factor 4*c**3 - 32*c**2 - 2732*c + 2760.
4*(c - 30)*(c - 1)*(c + 23)
Suppose -11*i**5/2 - 20*i**4 + 113*i**3/2 - 31*i**2 = 0. Calculate i.
-62/11, 0, 1
Factor y**3/3 + 325*y**2/3 - 653*y/3 + 109.
(y - 1)**2*(y + 327)/3
Determine v so that -v**2/5 + 14*v/5 + 48 = 0.
-10, 24
Factor -2*p**3 - 6*p**2 + 8.
-2*(p - 1)*(p + 2)**2
Factor 5*w**4 + 1980*w**3 - 1990*w**2 - 1980*w + 1985.
5*(w - 1)**2*(w + 1)*(w + 397)
Factor -2*z**2/3 + 68*z/3 + 1600/3.
-2*(z - 50)*(z + 16)/3
Find n such that -50*n**5/3 + 310*n**4/3 - 238*n**3/3 - 958*n**2/3 + 96*n + 216 = 0.
-1, 1, 18/5
Suppose 15*b**4/4 + 9*b**3 - 3*b**2/4 - 9*b - 3 = 0. What is b?
-2, -1, -2/5, 1
Find r such that -4*r**4 - 27*r**3 - 41*r**2 + 12*r = 0.
-4, -3, 0, 1/4
Suppose -2*p**2 - 658*p = 0. Calculate p.
-329, 0
Find i, given that -10*i**2 + 402*i + 328 = 0.
-4/5, 41
Factor 2*v**3 + 20*v**2 - 46*v + 24.
2*(v - 1)**2*(v + 12)
Factor -4*x**5/7 - 16*x**4/7 + 192*x**3/7 - 64*x**2 + 320*x/7.
-4*x*(x - 2)**3*(x + 10)/7
Factor -4*j**2