i**2*(i - 216)**2*(i + 1)
Factor -f**3 - 16*f**2 - 71*f - 56.
-(f + 1)*(f + 7)*(f + 8)
Let -5*d**3 - 5*d**2 + 480*d + 1980 = 0. Calculate d.
-6, 11
What is a in 4*a**5 - 16*a**4 - 40*a**3 + 160*a**2 + 36*a - 144 = 0?
-3, -1, 1, 3, 4
What is h in -2*h**3 - 452*h**2 - 3488*h = 0?
-218, -8, 0
Factor -2*g**3 + 26*g + 24.
-2*(g - 4)*(g + 1)*(g + 3)
What is w in w**2 + 68*w = 0?
-68, 0
Factor 9*u**2 - 60*u + 36.
3*(u - 6)*(3*u - 2)
Solve -n**3/9 - 22*n**2/9 + n + 22 = 0.
-22, -3, 3
Factor -16*q**3 + 120*q**2 - 225*q + 125.
-(q - 5)*(4*q - 5)**2
Factor k**5/3 + 2*k**4/3 - 19*k**3/3 - 20*k**2/3.
k**2*(k - 4)*(k + 1)*(k + 5)/3
Factor -4*g**4 - 44*g**3 - 160*g**2 - 192*g.
-4*g*(g + 3)*(g + 4)**2
What is u in -u**2/2 - 108*u - 5832 = 0?
-108
What is q in -3*q**2/4 + 51*q/4 - 45 = 0?
5, 12
What is l in 28*l**2/5 - 82*l/5 - 24 = 0?
-15/14, 4
Find r such that 3*r**4/2 + 11*r**3/2 + 13*r**2/2 + 5*r/2 = 0.
-5/3, -1, 0
Suppose v**3/9 - 373*v**2/3 + 34720*v + 313600/9 = 0. What is v?
-1, 560
Factor 2*r**2 - 214*r + 212.
2*(r - 106)*(r - 1)
Factor -y**5 - 149*y**4 - 584*y**3 - 580*y**2.
-y**2*(y + 2)**2*(y + 145)
Suppose y**3/5 - 1849*y**2/5 + 739*y - 1847/5 = 0. Calculate y.
1, 1847
Factor 3*n**4 - 39*n**3 - 90*n**2.
3*n**2*(n - 15)*(n + 2)
Let 3*j**4/7 + 1032*j**3/7 + 84480*j**2/7 - 743424*j/7 = 0. Calculate j.
-176, 0, 8
Find j, given that -j**5/3 - 34*j**4/3 + 71*j**3/3 - 12*j**2 = 0.
-36, 0, 1
Let -2*a**5/5 + 76*a**4/5 + 48*a**3 + 244*a**2/5 + 82*a/5 = 0. What is a?
-1, 0, 41
Suppose -52*w**2 + 216*w - 32 = 0. Calculate w.
2/13, 4
Factor 4*p**4/7 - 8*p**3/7 - 12*p**2/7.
4*p**2*(p - 3)*(p + 1)/7
Find w such that -3*w**5 - 9*w**4 - 9*w**3 - 3*w**2 = 0.
-1, 0
Factor 5*z**2/2 - 109*z - 44.
(z - 44)*(5*z + 2)/2
Factor -2*a**3 - 3*a**2 + 11*a + 6.
-(a - 2)*(a + 3)*(2*a + 1)
Factor 35*z**3 + 7780*z**2 + 433455*z + 123210.
5*(z + 111)**2*(7*z + 2)
Solve h**5 - 4*h**4 - 158*h**3 + 900*h**2 + 1053*h = 0.
-13, -1, 0, 9
Factor -4*f**2 - 116*f + 120.
-4*(f - 1)*(f + 30)
Let i**3/3 - 274*i**2/3 - i/3 + 274/3 = 0. What is i?
-1, 1, 274
Factor -2*j**3/9 + 28*j**2/9 - 32*j/3.
-2*j*(j - 8)*(j - 6)/9
Factor -3*u**2 + 789*u + 6504.
-3*(u - 271)*(u + 8)
Find f, given that -9*f**4/5 + 6*f**3 - 12*f**2/5 - 24*f/5 = 0.
-2/3, 0, 2
Determine u, given that -u**2 - 2*u - 1 = 0.
-1
Suppose l**2/6 - 53*l/3 + 104/3 = 0. What is l?
2, 104
Suppose -i**2 - 60*i + 781 = 0. Calculate i.
-71, 11
Factor -4*l**4 + 84*l**3 + 196*l**2 - 276*l.
-4*l*(l - 23)*(l - 1)*(l + 3)
Factor 13*b**3/6 + 37*b**2/6 + 10*b/3 - 2/3.
(b + 1)*(b + 2)*(13*b - 2)/6
Factor k**2 - 154*k + 5929.
(k - 77)**2
What is w in -2*w**4/5 + 24*w**3/5 - 38*w**2/5 - 24*w/5 + 8 = 0?
-1, 1, 2, 10
Find i, given that 8*i**5 - 6*i**3 + 2*i**2 = 0.
-1, 0, 1/2
Determine y, given that -245*y**5 - 245*y**4 + 510*y**3 + 20*y**2 - 40*y = 0.
-2, -2/7, 0, 2/7, 1
Solve -2*i**5 - 13*i**4/2 + 181*i**3/2 + 119*i**2 + 24*i = 0 for i.
-8, -1, -1/4, 0, 6
Factor 2*c**3 + 11872*c**2 + 17618048*c.
2*c*(c + 2968)**2
Let -5*c**3 - 195*c**2 + 1305*c - 2025 = 0. What is c?
-45, 3
Determine g, given that -18*g**4 + 24*g**3 + 10*g**2 - 24*g + 8 = 0.
-1, 2/3, 1
Factor -5*t**3 - 65*t**2 - 115*t - 55.
-5*(t + 1)**2*(t + 11)
Let -2*k**4 - 760*k**3 - 75176*k**2 - 565440*k - 1107072 = 0. What is k?
-186, -4
Suppose 23*u**3 - 274*u**2/3 + 199*u/3 + 2 = 0. Calculate u.
-2/69, 1, 3
Factor -28*g**2 - 988*g/7 - 40/7.
-4*(g + 5)*(49*g + 2)/7
Let -b**3 + 19*b**2 = 0. What is b?
0, 19
Factor -2*u**3/3 + 586*u**2 - 171698*u + 50307514/3.
-2*(u - 293)**3/3
Let -2*t**2/23 - 380*t/23 - 1488/23 = 0. Calculate t.
-186, -4
Factor 4*b**5 - 24*b**4 + 56*b**3 - 64*b**2 + 36*b - 8.
4*(b - 2)*(b - 1)**4
Factor 4*r**2 - 18584*r + 21585316.
4*(r - 2323)**2
Factor -47*b**2 + 93*b + 2.
-(b - 2)*(47*b + 1)
Factor 5*a**5 - 20*a**4 - 850*a**3 + 9500*a**2 - 36875*a + 50000.
5*(a - 5)**4*(a + 16)
Factor v**5 + 20*v**4 + 150*v**3 + 500*v**2 + 625*v.
v*(v + 5)**4
Determine y so that -4*y**2/7 - 316*y/7 = 0.
-79, 0
Factor h**3/5 + 12*h**2 + 117*h/5 + 58/5.
(h + 1)**2*(h + 58)/5
Solve 4*u**4/5 - 99*u**3/5 - 237*u**2/5 - 161*u/5 - 27/5 = 0 for u.
-1, -1/4, 27
Determine h, given that h**4 - 178*h**3 + 1205*h**2 - 1352*h - 2736 = 0.
-1, 4, 171
Suppose t**3 + 8*t**2 = 0. What is t?
-8, 0
Factor -3*i**3 - 3*i**2 + 42*i + 72.
-3*(i - 4)*(i + 2)*(i + 3)
Find f, given that -2*f**2/7 - 824*f/7 - 84872/7 = 0.
-206
Factor 12*x**4 - 4*x**3 - 48*x**2 + 16*x.
4*x*(x - 2)*(x + 2)*(3*x - 1)
Factor 5*d**2 + 55*d + 150.
5*(d + 5)*(d + 6)
Factor -2*j**3/9 + 38*j**2/9 + 28*j/3.
-2*j*(j - 21)*(j + 2)/9
Factor -1102500*k**4 - 2209200*k**3 - 1110904*k**2 - 4208*k - 4.
-4*(k + 1)**2*(525*k + 1)**2
Factor -2*b**2/11 + 20*b - 550.
-2*(b - 55)**2/11
Factor 3*x**3/4 + 87*x**2/4 - 27*x - 135.
3*(x - 3)*(x + 2)*(x + 30)/4
Determine p so that -22*p**2/9 - 20*p/9 + 2/9 = 0.
-1, 1/11
Let -3*g**3 + 477*g**2 + 1947*g + 1467 = 0. What is g?
-3, -1, 163
Suppose -2*c**3 - 24*c**2 + 2*c + 24 = 0. What is c?
-12, -1, 1
Factor 3*h**2 - 72*h - 1020.
3*(h - 34)*(h + 10)
Factor 4*j**2 - 720*j + 32400.
4*(j - 90)**2
Determine b, given that -b**2/2 - 207*b - 42849/2 = 0.
-207
Determine m, given that 3*m**4 - 24*m**3 = 0.
0, 8
Suppose m**2/10 - 6*m/5 + 16/5 = 0. What is m?
4, 8
Factor 3*k**3 - 270*k**2 + 2637*k - 2370.
3*(k - 79)*(k - 10)*(k - 1)
Factor -3*r**2/7 - 1044*r/7 - 90828/7.
-3*(r + 174)**2/7
Find n, given that -3*n**5 - 33*n**4 - 66*n**3 + 180*n**2 + 216*n = 0.
-6, -1, 0, 2
Factor -3*q**4 - 2826*q**3 - 665523*q**2.
-3*q**2*(q + 471)**2
Factor 3*y**3 - 68*y**2 + 367*y + 130.
(y - 13)*(y - 10)*(3*y + 1)
Let -2*a**3/5 + 42*a**2/5 - 8*a = 0. Calculate a.
0, 1, 20
Factor 2*m**2/15 - 562*m/15 + 112/3.
2*(m - 280)*(m - 1)/15
Factor -5*v**2 + 10950*v - 5995125.
-5*(v - 1095)**2
Determine o, given that o**5/3 - o**4 - o**3 + 7*o**2/3 + 2*o = 0.
-1, 0, 2, 3
Factor -h**3 - 44*h**2 - 493*h - 450.
-(h + 1)*(h + 18)*(h + 25)
What is h in -9*h**3 - 60*h**2 + 108*h + 96 = 0?
-8, -2/3, 2
Find b such that 2*b**2/5 + 56*b + 1960 = 0.
-70
Factor -t**3/4 - 65*t**2/4 - 471*t/4 - 855/4.
-(t + 3)*(t + 5)*(t + 57)/4
Factor -3*r**5 - 21*r**4 + 90*r**3.
-3*r**3*(r - 3)*(r + 10)
Solve 2*j**2 + 384*j - 1970 = 0.
-197, 5
Factor f**2/3 - 58*f - 895/3.
(f - 179)*(f + 5)/3
Factor x**3/2 - 5*x**2/4 - 59*x/4 - 7.
(x - 7)*(x + 4)*(2*x + 1)/4
Suppose -5929*k**5/2 - 6083*k**4 - 6549*k**3/2 - 158*k**2 - 2*k = 0. What is k?
-1, -2/77, 0
Determine y, given that 5*y**4 - 460*y**3 - 1425*y**2 = 0.
-3, 0, 95
Suppose -2*t**5/5 + 118*t**4/5 + 1024*t**3/5 + 3152*t**2/5 + 4256*t/5 + 2144/5 = 0. What is t?
-2, 67
Find u such that 4*u**4 - 40*u**3 + 144*u**2 - 216*u + 108 = 0.
1, 3
Factor 3*t**3 + 54*t**2 + 177*t + 126.
3*(t + 1)*(t + 3)*(t + 14)
Factor 2*j**2/9 - 2*j/9 - 20/3.
2*(j - 6)*(j + 5)/9
Factor 204*o**2 - 795*o/4 - 21/4.
3*(o - 1)*(272*o + 7)/4
Factor 7*q**4/11 + 204*q**3/11 + 29*q**2/11.
q**2*(q + 29)*(7*q + 1)/11
Find a such that -2*a**5 - 160*a**4 + 330*a**3 + 160*a**2 - 328*a = 0.
-82, -1, 0, 1, 2
Find w such that 5*w**3 + 30*w**2 - 935*w = 0.
-17, 0, 11
Find b, given that 3*b**2/7 - 54*b/7 - 27 = 0.
-3, 21
Factor -4*y**4 + 88*y**3 - 352*y**2 + 168*y + 612.
-4*(y - 17)*(y - 3)**2*(y + 1)
Factor -v**2 + 3108*v - 2414916.
-(v - 1554)**2
Factor -6*d**3/11 - 54*d**2/11 + 6*d/11 + 54/11.
-6*(d - 1)*(d + 1)*(d + 9)/11
Factor -3*x**4 - 21*x**3 - 33*x**2 - 15*x.
-3*x*(x + 1)**2*(x + 5)
Factor 2*g**2/13 - 32*g/13 - 72/13.
2*(g - 18)*(g + 2)/13
Find z, given that -2*z**3/15 + 244*z**2/15 = 0.
0, 122
Factor -2*d**3 - 8*d**2 + 64*d.
-2*d*(d - 4)*(d + 8)
Factor 2*k**4/7 - 10*k**3/7 - 6*k**2 - 46*k/7 - 16/7.
2*(k - 8)*(k + 1)**3/7
Find w, given that 2*w**3 - 1496*w**2 + 279752*w = 0.
0, 374
Determine r, given that -2*r**3/9 + 302*r**2/9 - 3850*r/3 + 1250 = 0.
1, 75
Suppose -3*k**2/4 + 18*k - 33 = 0. What is k?
2, 22
Factor 10*l**3 + 55*l**2 + 65*l + 20.
5*(l + 1)*(l + 4)*(2*l + 1)
Factor -3*d**2/7 + 225*d/7 + 228/7.
-3*(d - 76)*(d + 1)/7
Factor 2*w**4/13 - 8*w**3/13 - 2*w**2/13 + 8*w/13.
2*w*(w - 4)*(w - 1)*(w + 1)/13
Factor -2*f**2 - 226*f + 460.
-2*(f - 2)*(f + 115)
Let -m**2/5 - 18*m/5 - 16 = 0. Calculate m.
-10, -8
Factor 4*h**2 + 244*h + 1872.
4*(h + 9)*(h + 52)
Let -k**3/4 + 4*k**2 - 77*k/4 + 49/2 = 0. What is k?
2, 7
Suppose -3*q**2/4 + 1587*q/2 - 9495/4 = 0. What is q?