*z**2 = 0.
-3, 0, 3
Factor 2*o**2 - 18.
2*(o - 3)*(o + 3)
Factor -6*x**4/7 - 12*x**3/7 + 90*x**2/7 + 216*x/7.
-6*x*(x - 4)*(x + 3)**2/7
Factor -2*m**3/15 - 68*m**2/15 - 168*m/5 + 432/5.
-2*(m - 2)*(m + 18)**2/15
Factor -5*n**3/6 + 115*n**2/6 - 50*n.
-5*n*(n - 20)*(n - 3)/6
Factor o**3/2 - 217*o**2/6 - 184*o/3 - 74/3.
(o - 74)*(o + 1)*(3*o + 2)/6
Factor 3*o**2/4 + 465*o/2 + 462.
3*(o + 2)*(o + 308)/4
Solve -4*q**3 - 173*q**2 - 523*q - 120 = 0 for q.
-40, -3, -1/4
Suppose v**4/3 + 52*v**3/3 + 32*v**2 - 208*v/3 - 400/3 = 0. What is v?
-50, -2, 2
Suppose -2*b**5/21 - 50*b**4/21 + 18*b**3/7 + 50*b**2/21 - 52*b/21 = 0. What is b?
-26, -1, 0, 1
Suppose -5*x**4 - 240*x**3 + 4800*x**2 - 20480*x = 0. What is x?
-64, 0, 8
Factor -y**2/5 - 36*y/5 + 37/5.
-(y - 1)*(y + 37)/5
Factor -2*w**3/9 + 1424*w**2/3 + 950*w + 4276/9.
-2*(w - 2138)*(w + 1)**2/9
Find f, given that -f**5 + 4*f**4 + 14*f**3 - 56*f**2 + 59*f - 20 = 0.
-4, 1, 5
Find g such that -2*g**4/7 + 10*g**3/7 - 18*g**2/7 + 2*g - 4/7 = 0.
1, 2
Solve -g**3/7 - 10*g**2/7 + 24*g/7 = 0.
-12, 0, 2
Factor 2*a**5/7 - 206*a**4/7 + 5606*a**3/7 - 15602*a**2/7 + 15200*a/7 - 5000/7.
2*(a - 50)**2*(a - 1)**3/7
Solve 3*a**2 + 201*a + 390 = 0 for a.
-65, -2
Suppose k**5/4 - 13*k**4/2 - 117*k**3/4 - 47*k**2/2 + 29*k + 30 = 0. What is k?
-2, -1, 1, 30
Solve -28*h**4 - 328*h**3 - 912*h**2 + 288*h = 0.
-6, 0, 2/7
Factor v**4/2 + 14*v**3 + 83*v**2 - 210*v + 225/2.
(v - 1)**2*(v + 15)**2/2
Determine x, given that -2*x**4/21 - 14*x**3/3 - 160*x**2/7 + 6600*x/7 = 0.
-30, 0, 11
Factor q**2 + 10*q - 96.
(q - 6)*(q + 16)
Factor 2*d**5 - 44*d**4 + 346*d**3 - 1120*d**2 + 1176*d.
2*d*(d - 7)**2*(d - 6)*(d - 2)
Factor -y**2/4 + 27*y/2 - 729/4.
-(y - 27)**2/4
Factor -4*q**3 + 160*q**2 - 1428*q - 3528.
-4*(q - 21)**2*(q + 2)
Factor 18*z**2/13 - 278*z/13 - 476/13.
2*(z - 17)*(9*z + 14)/13
Determine x so that -3*x**2 + 5331*x = 0.
0, 1777
Let s**3 - 4*s**2 - 4*s + 16 = 0. What is s?
-2, 2, 4
Find q, given that -2*q**3/7 - 60*q**2/7 + 128*q/7 = 0.
-32, 0, 2
Find p, given that 2*p**3/5 + 102*p**2/5 - 104*p/5 = 0.
-52, 0, 1
Factor 12*v**2/5 - 206*v/5 + 364/5.
2*(v - 2)*(6*v - 91)/5
Factor -a**4 + 226*a**3 - 12769*a**2.
-a**2*(a - 113)**2
Factor 13*v**2 - v.
v*(13*v - 1)
Factor 4*q**3 - 8*q**2 - 36*q + 72.
4*(q - 3)*(q - 2)*(q + 3)
Factor 10*j**2 - 1781*j + 178.
(j - 178)*(10*j - 1)
Let 7*p**3/6 - 125*p**2/3 + 874*p/3 + 260/3 = 0. What is p?
-2/7, 10, 26
Factor -2*w**3 + 8*w**2 + 14*w - 20.
-2*(w - 5)*(w - 1)*(w + 2)
Let -2*u**5/9 + 2*u**4/9 + 2*u**3/3 - 10*u**2/9 + 4*u/9 = 0. What is u?
-2, 0, 1
Factor 14*h**2 + 18*h + 4.
2*(h + 1)*(7*h + 2)
Find p such that p**4 - 15*p**3 - 17*p**2 + 15*p + 16 = 0.
-1, 1, 16
Factor -5*q**2 - 1930*q - 186245.
-5*(q + 193)**2
Solve k**3 + 6*k**2 + 9*k = 0 for k.
-3, 0
Factor -h**3 + 59*h**2 - 899*h + 841.
-(h - 29)**2*(h - 1)
Determine m so that -2*m**3/9 + 1816*m**2/9 - 136192*m/3 - 184832 = 0.
-4, 456
Determine c, given that -4*c**2 + 8*c = 0.
0, 2
Suppose i**4/5 - 202*i**3/5 - 407*i**2/5 - 204*i/5 = 0. Calculate i.
-1, 0, 204
Let -4*c**5 + 72*c**4 - 340*c**3 + 1424*c - 1152 = 0. Calculate c.
-2, 1, 2, 8, 9
Determine r so that 15*r**4 + 99*r**3 + 198*r**2 + 84*r - 72 = 0.
-3, -2, 2/5
What is p in 4*p**5 - 24*p**4 + 8*p**3 + 80*p**2 - 108*p + 40 = 0?
-2, 1, 5
Factor -10*y**2 - 6*y + 4.
-2*(y + 1)*(5*y - 2)
Solve 3*d**4 + 195*d**3 + 3063*d**2 - 3663*d - 6534 = 0 for d.
-33, -1, 2
Suppose -a**3/2 - a**2/2 + 65*a/2 + 225/2 = 0. Calculate a.
-5, 9
Determine s, given that -5*s**3 - 45*s**2 - 55*s + 105 = 0.
-7, -3, 1
Suppose -5*u**4/3 - 25*u**3/3 - 40*u**2/3 - 20*u/3 = 0. Calculate u.
-2, -1, 0
Solve -8*a**4/17 - 38*a**3/17 - 14*a**2/17 + 78*a/17 - 18/17 = 0.
-3, 1/4, 1
Factor -k**5 + 5*k**4 + 17*k**3 - 17*k**2 - 32*k + 28.
-(k - 7)*(k - 1)**2*(k + 2)**2
Factor 4*f**4 - 16*f**3 - 44*f**2 - 24*f.
4*f*(f - 6)*(f + 1)**2
Factor -t**4/7 - 30*t**3/7 + 391*t**2/7 - 360*t/7.
-t*(t - 9)*(t - 1)*(t + 40)/7
Find o such that 2116*o**2/7 + 736*o + 448 = 0.
-28/23
Factor 2*c**3 + 270*c**2 + 534*c + 266.
2*(c + 1)**2*(c + 133)
Determine w so that -2*w**4/3 - 20*w**3/3 - 8*w**2 + 48*w = 0.
-6, 0, 2
Factor -5*h**3 + 10*h**2/3 + 5*h/3.
-5*h*(h - 1)*(3*h + 1)/3
Solve 90*x**5/7 + 52*x**4/7 - 106*x**3/7 - 52*x**2/7 + 16*x/7 = 0.
-1, -4/5, 0, 2/9, 1
Factor x**2/3 + 101*x/9 + 22/3.
(x + 33)*(3*x + 2)/9
Let 2*p**2 - 146*p = 0. Calculate p.
0, 73
Factor -16*s**5 + 8528*s**4 - 1512292*s**3 + 88717336*s**2 + 89855824*s + 22559008.
-4*(s - 178)**3*(2*s + 1)**2
Factor -4*m**3/3 + 32*m**2/3 + 132*m - 1080.
-4*(m - 9)**2*(m + 10)/3
What is o in o**3 + 239*o**2 + 15707*o + 165997 = 0?
-113, -13
Find v such that -4*v**5/3 + 372*v**4 - 77276*v**3/3 - 79516*v**2/3 + 25760*v + 78400/3 = 0.
-1, 1, 140
Factor v**5/3 - 11*v**4/3 + 9*v**3 - 25*v**2/3 + 8*v/3.
v*(v - 8)*(v - 1)**3/3
Factor -i**4 - 84*i**3 - 402*i**2 - 556*i - 237.
-(i + 1)**2*(i + 3)*(i + 79)
Factor -4*f**2 + 548*f + 1112.
-4*(f - 139)*(f + 2)
Factor 3*k**3/2 + 126*k**2 + 3528*k + 32928.
3*(k + 28)**3/2
Factor m**4 - m**3 - 2*m**2.
m**2*(m - 2)*(m + 1)
Determine v so that 2*v**4/17 - 38*v**3/17 - 178*v**2/17 - 138*v/17 = 0.
-3, -1, 0, 23
Let -z**4/9 - 2*z**3/9 + 55*z**2/9 - 88*z/9 - 16 = 0. Calculate z.
-9, -1, 4
Factor -2*a**2 + 8*a + 42.
-2*(a - 7)*(a + 3)
Determine f so that 2*f**3/15 + 12*f**2/5 - 338*f/15 + 20 = 0.
-25, 1, 6
Factor -x**2 + 504*x - 63504.
-(x - 252)**2
Find l such that 3*l**2 + 513*l + 510 = 0.
-170, -1
What is r in -2*r**5/7 - 24*r**4/7 - 10*r**3 + 24*r**2/7 + 72*r/7 = 0?
-6, -1, 0, 1
Factor 12*i**4 + 52*i**3 - 11*i**2/3 - 130*i + 75.
(i + 3)**2*(6*i - 5)**2/3
Factor 18*t**3/5 + 44*t**2 - 1806*t/5 + 2952/5.
2*(t - 3)**2*(9*t + 164)/5
Factor 4*m**2 - 612*m + 15128.
4*(m - 122)*(m - 31)
Find f such that 2*f**5/5 - 4*f**3/5 + 2*f/5 = 0.
-1, 0, 1
Solve 3*j**5 - 72*j**4 - 1263*j**3 - 1188*j**2 = 0.
-11, -1, 0, 36
Solve 4*i**3 + 36*i**2 - 196*i + 156 = 0.
-13, 1, 3
Factor 75*r**3 - 160*r**2 - 205*r + 30.
5*(r - 3)*(r + 1)*(15*r - 2)
Suppose -3*g**4/5 + 27*g**3/5 - 9*g**2 + 21*g/5 = 0. What is g?
0, 1, 7
Factor -4*i**4 - 56*i**3 - 52*i**2.
-4*i**2*(i + 1)*(i + 13)
Factor -c**3/2 - 137*c**2/6 - 58*c - 86/3.
-(c + 2)*(c + 43)*(3*c + 2)/6
Solve -44*p**4/19 - 674*p**3/19 - 756*p**2/19 + 776*p/19 - 112/19 = 0.
-14, -2, 2/11, 1/2
Let -10*k**3/7 - 43224*k**2/7 - 46716498*k/7 - 18679684/7 = 0. Calculate k.
-2161, -2/5
Factor o**2/3 + 58*o/3 + 841/3.
(o + 29)**2/3
Let -2*c**3/17 - 6*c**2/17 + 72*c/17 - 64/17 = 0. Calculate c.
-8, 1, 4
Let -6*l**3 + 9*l**2 + 15*l = 0. What is l?
-1, 0, 5/2
Factor 2*j**2/9 - 68*j/9 + 22/3.
2*(j - 33)*(j - 1)/9
Let 12*r**3 - 44*r**2 + 48*r - 16 = 0. Calculate r.
2/3, 1, 2
Solve -l**2/4 + 81*l/4 = 0.
0, 81
Suppose 108*c**5 + 11385*c**4 - 42369*c**3 - 20253*c**2 + 2301*c + 1308 = 0. Calculate c.
-109, -1/3, 1/4, 4
Factor -2*n**4 + 2*n**3 + 42*n**2 - 82*n + 40.
-2*(n - 4)*(n - 1)**2*(n + 5)
Factor -4*d**4/3 - 56*d**3/3 - 196*d**2/3.
-4*d**2*(d + 7)**2/3
Factor -2*o**2/7 + 34*o/7 + 76/7.
-2*(o - 19)*(o + 2)/7
Determine h, given that -2*h**2/11 + 300*h/11 - 298/11 = 0.
1, 149
Determine s so that -5*s**4 + 35*s**2 + 30*s = 0.
-2, -1, 0, 3
Find t, given that 10*t**3/7 - 76*t**2/7 - 38*t/7 + 48/7 = 0.
-1, 3/5, 8
Solve -p**4/4 + 7*p**3/2 + 8*p**2 = 0 for p.
-2, 0, 16
Solve 45*s**4 - 165*s**3 + 95*s**2 - 15*s = 0 for s.
0, 1/3, 3
Factor 2*r**3/3 - 422*r**2/3 + 836*r/3.
2*r*(r - 209)*(r - 2)/3
Factor -h**3 - 14*h**2 - 64*h - 96.
-(h + 4)**2*(h + 6)
Factor -7*a**2/2 + 303*a/2 - 43.
-(a - 43)*(7*a - 2)/2
Factor 5*i**3 - 25*i**2 - 8780*i + 8800.
5*(i - 44)*(i - 1)*(i + 40)
Determine r so that -50*r**4 - 10*r**3 + 64*r**2 + 24*r = 0.
-1, -2/5, 0, 6/5
Determine g, given that -2*g**2/13 - 8*g - 104 = 0.
-26
What is t in -5*t**4 + 40*t**3 - 75*t**2 - 40*t + 80 = 0?
-1, 1, 4
What is n in 4*n**2 + 3688*n + 850084 = 0?
-461
Solve -2*g**3/7 + 366*g**2/7 = 0 for g.
0, 183
What is y in y**5/3 + y**4/3 - y**3/3 - y**2/3 = 0?
-1, 0, 1
Find b such that -3*b**4/5 + 11*b**3/5 + 24*b**2/5 - 4*b = 0.
-2, 0, 2/3, 5
Factor -3*c**5/5 + 3*c**4 - 27*c**3/5 + 21*c**2/5 - 6*c/5.
-3*c*(c - 2)*(c - 1)**3/5
Factor -28*c**2/3 - 76*c/3 + 8.
-4*(c + 3)*(7*c - 2)/3
Factor -u**3/4 + 7*u**2/4 + u - 7.
-(u - 7)*(u - 2)*(u + 2)/4
Factor -8*j**2/3 - 278*j - 208/3.
-2*(j + 104)*(4*j + 1)/3