1*i**4 - 56*i**3 - 60*i**2 = 0 for i.
-2, 0, 15
Suppose 4*t**3/9 + 88*t**2/9 + 76*t/9 - 56/3 = 0. Calculate t.
-21, -2, 1
Factor -3*g**3/2 - 75*g**2 - 291*g/2 - 72.
-3*(g + 1)**2*(g + 48)/2
Determine x, given that x**5 - 162*x**4 + 160*x**3 + 162*x**2 - 161*x = 0.
-1, 0, 1, 161
Factor -4*l**3 + 152*l**2 + 660*l + 504.
-4*(l - 42)*(l + 1)*(l + 3)
Let 2*c**4/9 + 2*c**3/9 - 8*c**2/3 = 0. What is c?
-4, 0, 3
Factor -98*s**3 - 1302*s**2 - 4230*s - 4050.
-2*(s + 9)*(7*s + 15)**2
Suppose -2*b**2 - 38*b - 68 = 0. What is b?
-17, -2
Let -5*u**5 + 165*u**4 - 290*u**3 - 630*u**2 + 295*u + 465 = 0. Calculate u.
-1, 1, 3, 31
Solve -2*a**5/13 + 4*a**4/13 + 14*a**3/13 + 8*a**2/13 = 0.
-1, 0, 4
Suppose 5*g**4 + 55*g**3 + 165*g**2 + 185*g + 70 = 0. What is g?
-7, -2, -1
Factor 5*b**4 - 110*b**3 + 95*b**2 + 210*b.
5*b*(b - 21)*(b - 2)*(b + 1)
Solve 5*w**2 - 10*w = 0 for w.
0, 2
Factor -s**2/3 + 11*s/3.
-s*(s - 11)/3
Find g such that 3*g**5 - 27*g**4 + 30*g**3 + 234*g**2 - 465*g + 225 = 0.
-3, 1, 5
Factor 3*j**3 + 360*j**2 + 2736*j + 5376.
3*(j + 4)**2*(j + 112)
Factor 2*p**3/15 - 332*p**2/15 - 682*p/5 - 1032/5.
2*(p - 172)*(p + 3)**2/15
Factor -4*z**4 - 16*z**3 + 176*z**2 + 384*z - 2304.
-4*(z - 4)**2*(z + 6)**2
What is d in d**2 + 85*d = 0?
-85, 0
Factor -q**4 - 3*q**3 + 33*q**2 - 53*q + 24.
-(q - 3)*(q - 1)**2*(q + 8)
Let 4*c**3 - 488*c**2 - 1492*c - 1000 = 0. Calculate c.
-2, -1, 125
Suppose 3*b**3 + 36*b**2 + 87*b + 54 = 0. What is b?
-9, -2, -1
Factor 5*o**2 + 285*o - 590.
5*(o - 2)*(o + 59)
Factor -3*m**3 + 219*m**2.
-3*m**2*(m - 73)
Determine f so that -f**5 + 24*f**4 - 192*f**3 + 586*f**2 - 687*f + 270 = 0.
1, 3, 9, 10
Solve -15*o**4/4 - 267*o**3/2 + 369*o**2 + 1014*o - 456 = 0.
-38, -2, 2/5, 4
Factor 5*y**3 - 3960*y**2 + 11845*y - 7890.
5*(y - 789)*(y - 2)*(y - 1)
Suppose 5*x**3 + 5*x**2 - 130*x + 120 = 0. Calculate x.
-6, 1, 4
Factor 2*a**5/7 - 12*a**4/7 + 24*a**3/7 - 16*a**2/7.
2*a**2*(a - 2)**3/7
Factor 2*t**3 + 24*t**2 + 70*t + 48.
2*(t + 1)*(t + 3)*(t + 8)
What is z in z**4/4 - z**3/2 - 5*z**2/4 + 3*z/2 = 0?
-2, 0, 1, 3
Let 57*o**5/5 + 132*o**4/5 + 36*o**3/5 - 114*o**2/5 - 93*o/5 - 18/5 = 0. Calculate o.
-1, -6/19, 1
Factor -2*v**2/3 - 158*v/3 + 664/3.
-2*(v - 4)*(v + 83)/3
Suppose -8*s**5 + 12*s**4 + 12*s**3 - 8*s**2 = 0. Calculate s.
-1, 0, 1/2, 2
Factor 3*r**2 + 69*r.
3*r*(r + 23)
Let 25*a**5 - 180*a**4 + 285*a**3 - 50*a**2 = 0. Calculate a.
0, 1/5, 2, 5
Factor 3*d**3 + 9*d**2 - 99*d - 105.
3*(d - 5)*(d + 1)*(d + 7)
Factor -q**2 + 94*q - 93.
-(q - 93)*(q - 1)
Determine y so that -2*y**4/5 - 4*y**3 + 6*y**2/5 + 56*y/5 - 8 = 0.
-10, -2, 1
Factor 3*x**3/5 + 123*x**2/5 + 456*x/5 + 444/5.
3*(x + 2)**2*(x + 37)/5
Solve -n**2/6 - 7*n/6 - 1 = 0 for n.
-6, -1
Factor 4*p**3 - 8*p**2 - 44*p + 48.
4*(p - 4)*(p - 1)*(p + 3)
Determine o so that 2*o**5 - 18*o**4 + 28*o**3 = 0.
0, 2, 7
Factor 5*g**3 + 765*g**2 - 5*g - 765.
5*(g - 1)*(g + 1)*(g + 153)
Solve -4*f**2/3 - 340*f/3 - 328 = 0 for f.
-82, -3
Solve -5*y**5 + 5*y**4 + 10*y**3 = 0.
-1, 0, 2
Factor u**2/5 - 9462*u/5 + 22382361/5.
(u - 4731)**2/5
Factor 2*v**3/7 - 62*v**2/7 + 310*v/7 - 250/7.
2*(v - 25)*(v - 5)*(v - 1)/7
Determine x, given that -x**5/8 - 53*x**4/8 + 117*x**3/8 + 389*x**2/8 + 55*x/2 = 0.
-55, -1, 0, 4
Factor -2*a**3/3 - 8*a**2/3 - 10*a/3 - 4/3.
-2*(a + 1)**2*(a + 2)/3
Determine m so that 2*m**5/15 - 38*m**4/5 + 98*m**3/15 + 262*m**2/5 - 20*m/3 - 224/5 = 0.
-2, -1, 1, 3, 56
Solve 28*l**4 + 120*l**3 + 172*l**2 + 96*l + 16 = 0.
-2, -1, -2/7
Solve i**5/2 - 239*i**4/2 + 14159*i**3/2 + 14639*i**2/2 - 7080*i - 7200 = 0 for i.
-1, 1, 120
Let 2*f**5 - 16870*f**4 + 71166093*f**3/2 - 35570395*f**2 + 17783089*f/2 = 0. Calculate f.
0, 1/2, 4217
Factor -2*y**2/9 - 10*y/9 + 4/3.
-2*(y - 1)*(y + 6)/9
Factor -z**2 + 192*z.
-z*(z - 192)
What is g in 2*g**3/5 - 4*g**2 + 58*g/5 - 8 = 0?
1, 4, 5
Suppose -4*c**5 - 56*c**4 - 304*c**3 - 792*c**2 - 972*c - 432 = 0. Calculate c.
-4, -3, -1
Factor t**2/2 + 110*t + 6050.
(t + 110)**2/2
Solve -3*f**4 - 75*f**3 + 426*f**2 - 708*f + 360 = 0.
-30, 1, 2
Suppose -314*f**3/7 - 4*f**2/7 + 314*f/7 + 4/7 = 0. Calculate f.
-1, -2/157, 1
Factor 169*f**3 + 273*f**2 + 120*f + 16.
(f + 1)*(13*f + 4)**2
Let -9*u**5 - 78*u**4 - 169*u**3 = 0. Calculate u.
-13/3, 0
Factor 10*t**3/11 + 96*t**2/11 - 40*t/11.
2*t*(t + 10)*(5*t - 2)/11
Factor 2*c**4 + 10*c**3 + 8*c**2.
2*c**2*(c + 1)*(c + 4)
Factor 2*u**5/7 - 68*u**4/7 + 242*u**3/7 + 816*u**2 + 2016*u.
2*u*(u - 21)**2*(u + 4)**2/7
Suppose -27*u**5 + 279*u**4/2 + 1770*u**3 - 11073*u**2/2 - 33990*u + 18150 = 0. Calculate u.
-5, 1/2, 22/3
Determine i, given that -2*i**3 + 12*i**2 + 38*i - 48 = 0.
-3, 1, 8
Factor -2*j**2/21 - 142*j/21.
-2*j*(j + 71)/21
Factor -v**2 - 305*v + 614.
-(v - 2)*(v + 307)
Let 5*y**3 - 165*y**2 + 460*y - 300 = 0. Calculate y.
1, 2, 30
Solve -3*y**3/5 + 106*y**2/5 - 33*y/5 - 14 = 0.
-2/3, 1, 35
Factor r**2/2 + 493*r + 243049/2.
(r + 493)**2/2
Find i such that 4*i**4 + 72*i**3 + 240*i**2 + 224*i = 0.
-14, -2, 0
Factor 3*y**2 - 9*y - 12.
3*(y - 4)*(y + 1)
Find z, given that 8*z**4 - 112*z**3 - 6*z**2 + 86*z - 28 = 0.
-1, 1/2, 14
Suppose 2*a**4/3 - 14*a**3/3 + 4*a**2 + 64*a/3 - 64/3 = 0. What is a?
-2, 1, 4
Suppose -d**2/3 - 1912*d/3 - 913936/3 = 0. What is d?
-956
Factor -2*x**2 + 130*x - 2100.
-2*(x - 35)*(x - 30)
Factor -2*g**4/9 - 22*g**3/3 + 46*g**2/3 - 70*g/9.
-2*g*(g - 1)**2*(g + 35)/9
Find s such that 10*s**5 + 75*s**4 + 205*s**3 + 255*s**2 + 145*s + 30 = 0.
-3, -2, -1, -1/2
Factor 5*j**5 + 10*j**4 - 15*j**3 - 20*j**2 + 20*j.
5*j*(j - 1)**2*(j + 2)**2
Solve -m**3/5 - 1407*m**2/5 + 1408*m/5 = 0 for m.
-1408, 0, 1
Find p such that p**4/8 + 129*p**3/8 + 2111*p**2/4 + 480*p - 1024 = 0.
-64, -2, 1
Let -3*q**4/4 - 11*q**3/4 - 15*q**2/4 - 9*q/4 - 1/2 = 0. What is q?
-1, -2/3
Solve b**2 + 8*b + 16 = 0.
-4
Find u such that u**4/4 - u**3 + 3*u**2/4 + u - 1 = 0.
-1, 1, 2
Factor -4*o**2 - 48*o - 128.
-4*(o + 4)*(o + 8)
Factor -a**2/5 + 131*a/5 + 402/5.
-(a - 134)*(a + 3)/5
Factor -y**2 - 236*y + 237.
-(y - 1)*(y + 237)
Solve 2*m**3 - 94*m**2 + 268*m - 176 = 0.
1, 2, 44
Solve -2*h**2/11 - 118*h/11 = 0.
-59, 0
Factor -5*u**4 + 18435*u**3 - 22656615*u**2 + 9281659945*u.
-5*u*(u - 1229)**3
Factor -8112*b**5/5 - 4680*b**4 - 4311*b**3 - 1077*b**2 + 171*b - 27/5.
-3*(b + 1)**3*(52*b - 3)**2/5
Factor -2*s**3 + 80*s**2 - 986*s + 3468.
-2*(s - 17)**2*(s - 6)
Solve -z**4/2 + z**2 - 1/2 = 0.
-1, 1
Let q**2 + 304*q - 921 = 0. Calculate q.
-307, 3
Factor 5*u**4 - 5*u**3 - 35*u**2 + 65*u - 30.
5*(u - 2)*(u - 1)**2*(u + 3)
Factor 2*d**3/11 + 12*d**2/11 - 162*d/11 + 260/11.
2*(d - 5)*(d - 2)*(d + 13)/11
Factor -2*v**2 - 12*v + 32.
-2*(v - 2)*(v + 8)
What is q in 3*q**2/7 + 159*q/7 + 720/7 = 0?
-48, -5
Find n, given that -n**5/7 + 26*n**4/7 - 19*n**3 + 272*n**2/7 - 244*n/7 + 80/7 = 0.
1, 2, 20
Factor 2*k**2/11 - 38*k + 828/11.
2*(k - 207)*(k - 2)/11
Solve 2*y**4/5 + 3*y**3/5 - 8*y**2/5 + 3*y/5 = 0.
-3, 0, 1/2, 1
Factor o**2/8 - 15*o/2 + 81/2.
(o - 54)*(o - 6)/8
Find t, given that -2*t**2 - 410*t/3 + 92 = 0.
-69, 2/3
Let l**3/6 - 29*l**2/2 - 60*l - 182/3 = 0. What is l?
-2, 91
Solve -4*z**4/3 + 16*z**3 + 52*z**2/3 = 0 for z.
-1, 0, 13
Solve -5*i**4 + 35*i**3 = 0 for i.
0, 7
What is z in -z**3/7 + 25*z**2/7 + 9*z/7 - 225/7 = 0?
-3, 3, 25
Suppose -2*q**3/7 + 4852*q**2/7 - 9698*q/7 + 4848/7 = 0. What is q?
1, 2424
Factor 5*r**4 + 10*r**3 + 5*r**2.
5*r**2*(r + 1)**2
Factor 4*g**3 - 68*g**2 - 4*g + 68.
4*(g - 17)*(g - 1)*(g + 1)
Find f, given that -6*f**3 + 2*f**2 + 1096*f + 728 = 0.
-13, -2/3, 14
Let -2*x**2/7 - 22*x/7 + 52/7 = 0. Calculate x.
-13, 2
Factor -2*f**3/15 + 4*f**2/3 - 38*f/15 - 4.
-2*(f - 6)*(f - 5)*(f + 1)/15
Factor 4*i**2 + 372*i - 5992.
4*(i - 14)*(i + 107)
Let 2*j**5/11 - 8*j**4/11 - 42*j**3/11 + 72*j**2/11 + 216*j/11 = 0. What is j?
-3, -2, 0, 3, 6
Find c, given that 2*c**4 + 26*c**3 + 90*c**2 - 50*c - 500 = 0.
-5, 2
Find w such that -w**2 + 52*w = 0.
0, 52
Factor -q**3/10 + 3*q**2/2 + q/10 - 3/2.
-(q - 15)*(q - 1)*(q + 1)/10
Find k, given that -162*k**4/7 + 36*k**3/7 + 16*k**2/7 = 0.
-2/9, 0, 4/9
Suppose -2*u**2/9 + 28*u/3 - 490/9 = 0. What is u?
7, 35
Factor -64*f**2 + 288*f - 324.
-4*(4*f - 9)**2
Factor -147*s**2 - 462*s - 363.
-3*(7*s + 11)**2
Suppose 3*a**2 + 24*a - 252 = 0. What is a?
-14, 6
Suppose -3*a**4 + 39*a**3 - 3