Solve -o**4/2 - 17*o**3/2 - 29*o**2/2 + 17*o/2 + 15 = 0 for o.
-15, -2, -1, 1
Factor -2*q**2/9 + 4*q/3.
-2*q*(q - 6)/9
Find k, given that 3*k**3/2 - 7*k**2 - 45*k/2 - 14 = 0.
-4/3, -1, 7
Factor v**4 + 29*v**3 - 65*v**2 - 93*v.
v*(v - 3)*(v + 1)*(v + 31)
Factor -4*t**4 + 82*t**3 + 42*t**2.
-2*t**2*(t - 21)*(2*t + 1)
Solve -3*p**3 + 1074*p**2 - 2139*p + 1068 = 0.
1, 356
Solve 3*j**2 - 432*j - 876 = 0 for j.
-2, 146
Solve 2*w**4/11 - 64*w**3/11 - 384*w**2/11 + 18432*w/11 = 0.
-16, 0, 24
Let -2*i**5 + 22*i**4 - 68*i**3 + 92*i**2 - 58*i + 14 = 0. What is i?
1, 7
Solve -2*z**2/15 - 46*z/15 + 56/3 = 0 for z.
-28, 5
Solve -k**4/3 + k**3 = 0.
0, 3
What is q in -2*q**4/11 + 28*q**3/11 + 24*q**2 + 612*q/11 + 378/11 = 0?
-3, -1, 21
Suppose 4*y**5/5 + 2*y**4/5 - 14*y**3/5 - 14*y**2/5 + 2*y/5 + 4/5 = 0. What is y?
-1, 1/2, 2
Determine z, given that z**4/5 + 32*z**3/5 + 334*z**2/5 + 1248*z/5 + 1521/5 = 0.
-13, -3
What is a in a**3 + 2*a**2 - 3*a = 0?
-3, 0, 1
Factor -u**4 - 5*u**3 - 2*u**2 + 20*u + 24.
-(u - 2)*(u + 2)**2*(u + 3)
Factor 2*r**2/15 - 766*r/15.
2*r*(r - 383)/15
Determine u, given that 3*u**2/8 + 111*u/8 - 117/4 = 0.
-39, 2
Factor -5*s**3 - 79*s**2/2 - 71*s + 15/2.
-(s + 3)*(s + 5)*(10*s - 1)/2
Factor -v**3 + 8*v**2 + 31*v + 22.
-(v - 11)*(v + 1)*(v + 2)
Solve -q**4/5 - 8*q**3/5 - 6*q**2/5 + 8*q - 5 = 0.
-5, 1
Factor -3*x**3 + 63*x**2 - 360*x + 300.
-3*(x - 10)**2*(x - 1)
Determine k so that k**5/11 - 38*k**4/11 + 108*k**3/11 - 106*k**2/11 + 35*k/11 = 0.
0, 1, 35
Suppose -44*n**3 + 2120*n**2 - 25728*n + 4608 = 0. Calculate n.
2/11, 24
What is q in 2*q**5/3 - 6*q**4 + 58*q**3/3 - 26*q**2 + 12*q = 0?
0, 1, 2, 3
Determine b, given that 294*b**4 - 1785*b**3 - 837*b**2/8 + 11745*b/8 - 2025/4 = 0.
-1, 15/28, 6
Suppose 3*f**2/4 - 11127*f/2 + 41270043/4 = 0. What is f?
3709
Determine g, given that 4*g**3 - 104*g**2 + 92*g + 200 = 0.
-1, 2, 25
Factor -4*q**2 - 1112*q - 77284.
-4*(q + 139)**2
Factor -2*x**2/5 - 58*x/5 - 56/5.
-2*(x + 1)*(x + 28)/5
Factor 3*r**4 + 120*r**3 + 339*r**2 + 222*r.
3*r*(r + 1)*(r + 2)*(r + 37)
Suppose -2*j**2/5 + 8*j/5 + 42/5 = 0. Calculate j.
-3, 7
Factor 3*r**3 - 9*r**2 + 6*r.
3*r*(r - 2)*(r - 1)
Determine z, given that -z**4/6 + z**3/3 + 2*z**2/3 - 4*z/3 = 0.
-2, 0, 2
Suppose 2*j**2 - 16*j - 18 = 0. What is j?
-1, 9
Let -3*x**2/8 + 3087*x/8 = 0. What is x?
0, 1029
Solve l**2 - 81*l - 252 = 0 for l.
-3, 84
Find p such that -p**4/4 - 3*p**3/2 + 2*p**2 + 3*p/2 - 7/4 = 0.
-7, -1, 1
Suppose t**5/7 - 15*t**4/7 + 50*t**3/7 - 10*t**2 + 45*t/7 - 11/7 = 0. What is t?
1, 11
What is a in 4*a**2/5 - 646*a/5 + 192 = 0?
3/2, 160
Suppose 5*a**3 - 185*a**2 + 180*a = 0. What is a?
0, 1, 36
Find u such that -5*u**3 + 20*u**2 + 95*u + 70 = 0.
-2, -1, 7
Find o such that 5*o**4/4 + 17*o**3/4 - 57*o**2/2 + 23*o + 14 = 0.
-7, -2/5, 2
Solve 3*n**4/4 + 7*n**3 + 63*n**2/4 + 19*n/2 = 0.
-19/3, -2, -1, 0
Factor -4*i**4 - 4*i**3 + 84*i**2 + 164*i + 80.
-4*(i - 5)*(i + 1)**2*(i + 4)
Factor 2*b**3/7 + 38*b**2 + 1120*b - 9800.
2*(b - 7)*(b + 70)**2/7
Factor -3*b**5 + 30*b**4 - 72*b**3 + 66*b**2 - 21*b.
-3*b*(b - 7)*(b - 1)**3
Solve -2*z**4 - 42*z**3 - 144*z**2 - 136*z = 0 for z.
-17, -2, 0
Factor 2*g**4 - 30*g**3 + 96*g**2 - 88*g.
2*g*(g - 11)*(g - 2)**2
Suppose -2*q**4/15 + 6*q**2/5 = 0. What is q?
-3, 0, 3
Factor 21*o**4 - 132*o**3 - 300*o**2 + 96*o.
3*o*(o - 8)*(o + 2)*(7*o - 2)
What is m in 3*m**5 - 21*m**4 - 51*m**3 - 27*m**2 = 0?
-1, 0, 9
Factor m**3/3 - 982*m**2/3 + 327*m.
m*(m - 981)*(m - 1)/3
Factor 2*t**3/3 - 4*t**2 - 2*t/3 + 4.
2*(t - 6)*(t - 1)*(t + 1)/3
Find f, given that f**2/3 - 2938*f/3 + 2157961/3 = 0.
1469
Factor q**3 - 12*q**2 - 13*q.
q*(q - 13)*(q + 1)
Find g such that -g**2 + 531*g - 530 = 0.
1, 530
Factor -f**4 - 7*f**3 + 21*f**2 + 27*f.
-f*(f - 3)*(f + 1)*(f + 9)
Factor k**4/4 + 5*k**3/4 - 6*k**2.
k**2*(k - 3)*(k + 8)/4
Factor -2*u**2 + 1348*u - 1346.
-2*(u - 673)*(u - 1)
Factor -b**3 + 9*b**2 - 27*b + 27.
-(b - 3)**3
What is a in -2*a**5/15 + 8*a**4/15 + 12*a**3/5 - 72*a**2/5 + 18*a = 0?
-5, 0, 3
Factor i**2/3 - 11*i/3 - 14.
(i - 14)*(i + 3)/3
Suppose -5*k**5 + 575*k**4 - 16810*k**3 + 15670*k**2 + 16815*k - 16245 = 0. Calculate k.
-1, 1, 57
Suppose 5*i**4 - 5*i**3 - 540*i**2 - 1620*i + 2160 = 0. What is i?
-6, 1, 12
Let -3*j**4/5 + 189*j**3/5 = 0. Calculate j.
0, 63
Factor -65*o**3 + 62*o**2 + 133*o + 6.
-(o - 2)*(o + 1)*(65*o + 3)
Factor -5*t**3 + 135*t**2 + 600*t + 620.
-5*(t - 31)*(t + 2)**2
Factor -2*r**3 + 16*r**2 - 26*r + 12.
-2*(r - 6)*(r - 1)**2
Factor q**5 - 7*q**4 + 7*q**3 + 15*q**2.
q**2*(q - 5)*(q - 3)*(q + 1)
Find y, given that -12*y**5 - 56*y**4 - 92*y**3 - 64*y**2 - 16*y = 0.
-2, -1, -2/3, 0
Suppose -15*p**3/7 + 129*p**2/7 + 384*p/7 + 132/7 = 0. What is p?
-2, -2/5, 11
Factor 2*l**2/5 - 3720*l + 8649000.
2*(l - 4650)**2/5
Factor -2*m**2/17 - 3072*m/17 - 1179648/17.
-2*(m + 768)**2/17
Determine b, given that -28*b**5 - 148*b**4 - 152*b**3 - 32*b**2 = 0.
-4, -1, -2/7, 0
Factor -5*k**4 - 10*k**3 + 60*k**2 + 200*k + 160.
-5*(k - 4)*(k + 2)**3
Determine u so that -4*u**5/5 + 356*u**4/5 - 2024*u**3/5 + 2632*u**2/5 + 2028*u/5 - 2988/5 = 0.
-1, 1, 3, 83
Suppose x**4/6 - x**3/6 - 2*x**2 - 2*x/3 + 8/3 = 0. Calculate x.
-2, 1, 4
Factor -2*p**2/9 + 2*p/9 + 8/3.
-2*(p - 4)*(p + 3)/9
Factor 4*b**2 + 7168*b + 3211264.
4*(b + 896)**2
Let -4*c**5 + 48*c**4 + 8*c**3 - 96*c**2 - 4*c + 48 = 0. Calculate c.
-1, 1, 12
Determine n, given that n**3/2 - 25*n**2/2 + 84*n - 72 = 0.
1, 12
Factor -h**3/5 - 48*h**2/5 + 99*h/5 - 10.
-(h - 1)**2*(h + 50)/5
Let 4*p**3/7 + 36*p**2/7 - 40*p/7 = 0. What is p?
-10, 0, 1
Solve -2*p**4/11 - 10*p**3/11 - 4*p**2/11 + 40*p/11 + 48/11 = 0.
-3, -2, 2
Factor -t**3/5 - 68*t**2/5 - 741*t/5 + 3042.
-(t - 10)*(t + 39)**2/5
What is i in -i**2/5 - 11*i/5 - 18/5 = 0?
-9, -2
Factor 2*g**4 - 2*g**3 - 34*g**2 - 30*g.
2*g*(g - 5)*(g + 1)*(g + 3)
Factor -2*p**3 + 34*p**2 + 258*p + 414.
-2*(p - 23)*(p + 3)**2
Factor 4*h**4 + 16*h**3 + 24*h**2 + 16*h + 4.
4*(h + 1)**4
Find r, given that 5*r**3/4 - 600*r**2 - 17045*r/4 = 0.
-7, 0, 487
What is u in 9*u**3/5 + 6*u**2 + 33*u/5 + 12/5 = 0?
-4/3, -1
Determine r, given that -r**2/5 - r/5 + 6/5 = 0.
-3, 2
Suppose 3*r**4 + 15*r**3 - 21*r**2 - 15*r + 18 = 0. Calculate r.
-6, -1, 1
What is v in -8*v**4/3 - 11*v**3 + 52*v**2/3 + 29*v + 10/3 = 0?
-5, -1, -1/8, 2
Suppose 5*b**3 + 30*b**2 - 135*b = 0. Calculate b.
-9, 0, 3
Determine l, given that 3*l**4 + 3*l**3 - 24*l**2 - 36*l = 0.
-2, 0, 3
Find x, given that x**5/5 + 48*x**4/5 - 49*x**3/5 = 0.
-49, 0, 1
Let -w**2/3 + 37*w/3 - 70/3 = 0. What is w?
2, 35
Let -4*g**3/5 - 32*g**2 - 1972*g/5 - 6936/5 = 0. What is g?
-17, -6
Factor -4*w**3/5 + 588*w**2/5 - 28812*w/5 + 470596/5.
-4*(w - 49)**3/5
Factor o**2/4 - 5*o - 21/4.
(o - 21)*(o + 1)/4
Determine h so that 4*h**4/3 - 236*h**3/3 - 988*h**2/3 - 1252*h/3 - 168 = 0.
-2, -1, 63
Solve -8*n**5/9 + 173*n**4/9 - 70*n**3/9 - 755*n**2/9 + 136*n/3 + 28 = 0.
-2, -3/8, 1, 2, 21
Let 2*x**2/13 - 14*x/13 - 240/13 = 0. What is x?
-8, 15
Factor -12*p**2/5 + 44*p/5 + 16/5.
-4*(p - 4)*(3*p + 1)/5
Factor 3*y**2/2 - 26031*y/8 + 6507/8.
3*(y - 2169)*(4*y - 1)/8
What is h in -2*h**4 - 10*h**3 + 26*h**2 - 14*h = 0?
-7, 0, 1
Determine n, given that 3*n**2 - 3*n - 18 = 0.
-2, 3
Suppose -p**4/4 - 9*p**3/2 - 4*p**2 + 9*p/2 + 17/4 = 0. What is p?
-17, -1, 1
Let 2*j**2 - 84*j + 234 = 0. What is j?
3, 39
Factor 5*b**2/3 + 700*b/3 + 24500/3.
5*(b + 70)**2/3
Determine j, given that 32*j**3/3 + 142*j**2/3 - 30*j = 0.
-5, 0, 9/16
Let -5*p**3/3 + 535*p**2/3 - 4680*p - 4860 = 0. What is p?
-1, 54
Factor 828*a**2 - 825*a - 3.
3*(a - 1)*(276*a + 1)
Factor -4*i**2 - 52*i + 56.
-4*(i - 1)*(i + 14)
What is k in -5*k**3 - 160*k**2 + 545*k + 700 = 0?
-35, -1, 4
What is k in -8*k**2 - 122*k - 30 = 0?
-15, -1/4
Let -v**2 - 168*v = 0. What is v?
-168, 0
Factor -21*t**3 - 330*t**2 - 219*t + 90.
-3*(t + 1)*(t + 15)*(7*t - 2)
Factor 94*j**2 + 278*j - 12.
2*(j + 3)*(47*j - 2)
Factor 3*f**2 - 9*f - 54.
3*(f - 6)*(f + 3)
Factor -2*d**3/21 + 6*d**2/7 - 46*d/21 + 10/7.
-2*(d - 5)*(d - 3)*(d - 1)/21
Find g such that -4*g**4/5 + 136*g**3/5 - 144*g**2 + 1376*g/5 - 896/5 = 0.
2, 28
Let -3*q**3/2 + 539*q**2/4 + 45*q/2 = 0. What is q?
-1/6, 0, 90
Factor l**4/4 + l**3 - 24*l**2.
l**2*(l - 8)*(l + 12)/4
Suppose 2*p**3/15 - 6*p**2/5 - 68*p/15 - 16/5 =