2, 4, 70
Factor -g**5/6 + g**4/3.
-g**4*(g - 2)/6
Factor 18*h**5/5 + 168*h**4/5 + 488*h**3/5 + 448*h**2/5 + 128*h/5.
2*h*(h + 4)**2*(3*h + 2)**2/5
Suppose 2*f**3 - 576*f**2 - 2*f + 576 = 0. What is f?
-1, 1, 288
Suppose -5*u**2/4 + 19*u + 81/4 = 0. What is u?
-1, 81/5
Factor -5*h**4 - 65*h**3 - 90*h**2 + 800*h - 640.
-5*(h - 2)*(h - 1)*(h + 8)**2
Let 3*w**4/2 - 9*w**3 + 33*w + 45/2 = 0. Calculate w.
-1, 3, 5
Factor -4*z**2/3 - 256*z - 12288.
-4*(z + 96)**2/3
Let x**4 + 2*x**3 - 19*x**2 - 20*x = 0. Calculate x.
-5, -1, 0, 4
What is s in s**3 + 8*s**2 - 33*s = 0?
-11, 0, 3
Let 4*j**2/21 + 2*j/3 - 8/21 = 0. What is j?
-4, 1/2
Factor q**3/4 + 27*q**2/2 + 26*q.
q*(q + 2)*(q + 52)/4
Factor 4*g**4 + 8*g**3 - 12*g**2.
4*g**2*(g - 1)*(g + 3)
Find g, given that -g**2 - 4*g + 140 = 0.
-14, 10
Solve -6*m**3/7 + 104*m**2/7 - 360*m/7 - 288/7 = 0 for m.
-2/3, 6, 12
Factor -2*h**4 + 4*h**3 - 2*h**2.
-2*h**2*(h - 1)**2
Factor 2*q**2/9 - 326*q/9 - 1276/3.
2*(q - 174)*(q + 11)/9
Let -4*n**4/7 - 2*n**3/7 + 10*n**2/7 - 4*n/7 = 0. What is n?
-2, 0, 1/2, 1
Solve -2*a**4 + 58*a**3 - 162*a**2 + 158*a - 52 = 0 for a.
1, 26
Factor -2*k**2 - 40*k - 38.
-2*(k + 1)*(k + 19)
Suppose 4*k**3/7 + 320*k**2/7 + 1228*k/7 + 912/7 = 0. Calculate k.
-76, -3, -1
Let 2*r**2/7 - 2*r/7 - 12 = 0. Calculate r.
-6, 7
Factor -f**4/8 + 2*f**3 + 25*f**2/8 - 89*f + 210.
-(f - 15)*(f - 4)**2*(f + 7)/8
Factor l**3/4 + 9*l**2/4 + 3*l/2 - 4.
(l - 1)*(l + 2)*(l + 8)/4
Factor -15987*n**2/5 - 876*n/5 - 12/5.
-3*(73*n + 2)**2/5
Factor 55*t**4 + 273*t**3 + 375*t**2 + 151*t - 6.
(t + 1)**2*(t + 3)*(55*t - 2)
Suppose -y**2/4 - 451*y/4 = 0. What is y?
-451, 0
Solve -12*j**4 - 75*j**3 + 90*j**2 + 195*j + 42 = 0 for j.
-7, -1, -1/4, 2
Factor 12*j**3 + 322*j**2/3 + 90*j - 16/3.
2*(j + 1)*(j + 8)*(18*j - 1)/3
Factor -3*o**4 - 21*o**3 + 72*o**2 + 540*o.
-3*o*(o - 5)*(o + 6)**2
What is v in v**2/5 + 38*v/5 + 312/5 = 0?
-26, -12
Let 4*j**5 - 16*j**4 + 12*j**3 = 0. What is j?
0, 1, 3
Find o, given that 2*o**3 - 30*o**2 + 96*o - 88 = 0.
2, 11
Factor 3*s**4/7 + 3*s**3/7 - 3*s**2/7 - 3*s/7.
3*s*(s - 1)*(s + 1)**2/7
Determine y, given that 27*y**4/4 - 753*y**3/4 + 504*y**2 = 0.
0, 3, 224/9
What is g in 5*g**3 - 825*g**2 + 45375*g - 831875 = 0?
55
Factor -i**2 - 54*i + 112.
-(i - 2)*(i + 56)
Factor -78*x**2/7 - 6*x + 120/7.
-6*(x - 1)*(13*x + 20)/7
Factor -3*w**3 + 181*w**2 + 3*w - 181.
-(w - 1)*(w + 1)*(3*w - 181)
Factor 28*c**3 - 988*c**2 - 2060*c - 1044.
4*(c + 1)**2*(7*c - 261)
Solve -2*n**5/5 - 8*n**4/5 - 12*n**3/5 - 8*n**2/5 - 2*n/5 = 0.
-1, 0
Factor -2*r**5/3 - 2*r**4/3 + 6*r**3 - 22*r**2/3 + 8*r/3.
-2*r*(r - 1)**3*(r + 4)/3
Solve -10*j**4/19 + 72*j**3/19 + 66*j**2/19 - 16*j/19 = 0.
-1, 0, 1/5, 8
Suppose i**4 + i**3 - 5*i**2 + 3*i = 0. Calculate i.
-3, 0, 1
Determine x, given that x**2/5 - 281*x/5 - 566/5 = 0.
-2, 283
Factor -f**2/3 - 26*f/3 - 169/3.
-(f + 13)**2/3
Solve 2*u**4 - 3*u**3 - 12*u**2 + 7*u + 6 = 0 for u.
-2, -1/2, 1, 3
Factor 625*m**4/3 + 18500*m**3/3 + 68450*m**2 + 1013060*m/3 + 1874161/3.
(5*m + 37)**4/3
Factor 3*r**4 - 6*r**3 + 3*r**2.
3*r**2*(r - 1)**2
Let -21*a**4/4 - 45*a**3/2 + 23433*a**2/4 + 15111*a/2 + 1680 = 0. What is a?
-35, -1, -2/7, 32
Let -2*u**3/13 + 42*u**2/13 - 40*u/13 = 0. What is u?
0, 1, 20
Factor 17688*u**2 + 4406*u - 4.
2*(4*u + 1)*(2211*u - 2)
Suppose 45*v**3 - 355*v**2 + 275*v + 35 = 0. Calculate v.
-1/9, 1, 7
Suppose 6*x**3/5 + 2*x**2/5 - 8*x + 24/5 = 0. What is x?
-3, 2/3, 2
Solve -5*k**2 - 155*k + 6210 = 0.
-54, 23
Factor -2*b**2/5 - 14*b/5 - 4.
-2*(b + 2)*(b + 5)/5
Find f such that 2*f**3/17 - 4*f**2/17 - 2*f/17 + 4/17 = 0.
-1, 1, 2
Factor -2*r**3 - 48*r**2 - 46*r.
-2*r*(r + 1)*(r + 23)
Factor -153*m**2 - 453*m + 18.
-3*(m + 3)*(51*m - 2)
Let -m**5/8 + 3*m**4 - 37*m**3/8 - 75*m**2/4 - 11*m = 0. Calculate m.
-1, 0, 4, 22
Factor o**4/7 - 23*o**3/7 + 94*o**2/7 - 72*o/7.
o*(o - 18)*(o - 4)*(o - 1)/7
Factor -4*m**5/7 - m**4 + 3*m**3/7 + 11*m**2/7 + 5*m/7.
-m*(m + 1)**3*(4*m - 5)/7
Factor -2*q**4 - 46*q**3 - 64*q**2 + 3304*q + 9408.
-2*(q - 8)*(q + 3)*(q + 14)**2
Factor -5*z**5 + 15*z**3 - 10*z**2.
-5*z**2*(z - 1)**2*(z + 2)
Factor 4*b**3 + 4*b**2 - 68*b + 60.
4*(b - 3)*(b - 1)*(b + 5)
Factor 6*n**3 + 356*n**2 + 5510*n + 6728.
2*(n + 29)**2*(3*n + 4)
Factor -2*q**3/5 - 22*q**2/5 - 38*q/5 - 18/5.
-2*(q + 1)**2*(q + 9)/5
Find i such that i**3/8 + i**2 - i/2 - 4 = 0.
-8, -2, 2
Find j, given that -25*j**4 - 365*j**3 + 150*j**2 + 12500*j - 5000 = 0.
-10, 2/5, 5
Find m, given that 2*m**2 + 5016*m + 3145032 = 0.
-1254
Factor 2*v**4/15 - 2*v**3 - 22*v**2/5 - 34*v/15.
2*v*(v - 17)*(v + 1)**2/15
Let 3*o**4 - 66*o**3 - 561*o**2 - 1356*o - 1044 = 0. Calculate o.
-3, -2, 29
Solve -d**5/4 - d**4 - d**3/2 + d**2 + 3*d/4 = 0 for d.
-3, -1, 0, 1
Factor 2*p**3 + 1416*p**2 - 1422*p - 2836.
2*(p - 2)*(p + 1)*(p + 709)
Factor 19881*h**5/5 + 60207*h**4/5 + 61339*h**3/5 + 4317*h**2 + 576*h/5 + 4/5.
(h + 1)**3*(141*h + 2)**2/5
Factor -3*a**3/2 - 24*a**2 - 231*a/2 - 147.
-3*(a + 2)*(a + 7)**2/2
Factor -3*w**3/5 - 33*w**2/5 - 21*w - 15.
-3*(w + 1)*(w + 5)**2/5
Solve -4*i**5/3 - 5*i**4 - 7*i**3/3 + 8*i**2 + 20*i/3 = 0 for i.
-2, -1, 0, 5/4
Factor -2*j**2/9 + 26*j + 440.
-2*(j - 132)*(j + 15)/9
Solve -22*l**5/3 + 200*l**4/7 - 698*l**3/21 + 28*l**2/3 + 24*l/7 - 16/21 = 0 for l.
-2/7, 2/11, 1, 2
Factor -5*a**3/2 + 45*a**2 - 75*a/2 - 85.
-5*(a - 17)*(a - 2)*(a + 1)/2
Solve z**4/3 + 35*z**3/3 + 29*z**2/3 - 167*z/3 + 34 = 0 for z.
-34, -3, 1
Factor 16*i**2 + 156*i - 40.
4*(i + 10)*(4*i - 1)
Let -f**5/2 - 7*f**4 - 30*f**3 - 36*f**2 = 0. Calculate f.
-6, -2, 0
Solve -25*h**5 - 40*h**4 + 10*h**3 + 40*h**2 + 15*h = 0.
-1, -3/5, 0, 1
Factor -3*y**3/5 - 18*y**2/5 + 3*y/5 + 18/5.
-3*(y - 1)*(y + 1)*(y + 6)/5
Determine n, given that -3*n**3 - 12*n**2 + 267*n - 252 = 0.
-12, 1, 7
Solve -3*c**5 - 6*c**4 + 6*c**3 + 12*c**2 - 3*c - 6 = 0.
-2, -1, 1
Factor -3*h**4 - 9*h**3 - 6*h**2.
-3*h**2*(h + 1)*(h + 2)
Factor u**5/2 + 9*u**4/2 + 7*u**3 - 28*u**2 - 48*u + 64.
(u - 2)*(u - 1)*(u + 4)**3/2
Solve -4*l**4 + 32*l**3 + 172*l**2 - 2120*l + 4800 = 0.
-8, 5, 6
Let 2*k**4 - 26*k**3 - 2*k**2 + 26*k = 0. Calculate k.
-1, 0, 1, 13
Factor -4*c**2/5 - 84*c/5 - 216/5.
-4*(c + 3)*(c + 18)/5
Factor 20*k**2 + 5*k - 25.
5*(k - 1)*(4*k + 5)
Factor -c**3/8 + 40*c**2.
-c**2*(c - 320)/8
Factor 2*u**2/5 - 1078*u/5 - 2164/5.
2*(u - 541)*(u + 2)/5
Factor a**5 + 40*a**4 + 101*a**3 - 370*a**2.
a**2*(a - 2)*(a + 5)*(a + 37)
Solve -4*r**5 + 8*r**4 + 12*r**3 = 0 for r.
-1, 0, 3
Factor 4*z**5 + 28*z**4 + 76*z**3 + 100*z**2 + 64*z + 16.
4*(z + 1)**3*(z + 2)**2
Factor 5*p**2 - 2055*p + 4090.
5*(p - 409)*(p - 2)
Let 4*i**2 + 100*i = 0. Calculate i.
-25, 0
Suppose -3*u**5/2 - 75*u**4 - 1122*u**3 - 4356*u**2 = 0. Calculate u.
-22, -6, 0
Factor -2*u**4 + 212*u**3 - 4450*u**2 - 62408*u - 141288.
-2*(u - 58)**2*(u + 3)*(u + 7)
Factor 2*z**5 + 8*z**4 - 6*z**3 - 68*z**2 - 104*z - 48.
2*(z - 3)*(z + 1)*(z + 2)**3
Factor -4*f**4 - 52*f**3 - 40*f**2 + 96*f.
-4*f*(f - 1)*(f + 2)*(f + 12)
Determine b so that -b**4 + 66*b**3 - 1044*b**2 + 4334*b + 5445 = 0.
-1, 11, 45
Factor -2*f**3 + 98*f**2 + 650*f + 550.
-2*(f - 55)*(f + 1)*(f + 5)
Find y, given that -2*y**3 + 24*y**2 + 2*y - 24 = 0.
-1, 1, 12
Factor -3*x**4 + 27*x**3 - 21*x**2 - 27*x + 24.
-3*(x - 8)*(x - 1)**2*(x + 1)
Determine s, given that -3*s**3 - 2163*s**2 = 0.
-721, 0
Factor -c**2/4 + 81*c/2 - 6561/4.
-(c - 81)**2/4
Determine t, given that 27*t**5/7 + 1791*t**4/7 - 8763*t**3/7 + 12909*t**2/7 - 5952*t/7 + 852/7 = 0.
-71, 1/3, 2
Factor s**5/4 - 11*s**4/4 + 39*s**3/4 - 45*s**2/4.
s**2*(s - 5)*(s - 3)**2/4
Factor -5*v**3 + 95*v**2 - 240*v.
-5*v*(v - 16)*(v - 3)
Let -2*i**5/7 + 16*i**4/7 - 16*i**3/7 - 64*i**2/7 + 96*i/7 = 0. What is i?
-2, 0, 2, 6
Factor -4*l**3/3 - 20*l**2/3 - 4*l + 12.
-4*(l - 1)*(l + 3)**2/3
Suppose b**3/2 - 8*b**2 + 40*b - 64 = 0. Calculate b.
4, 8
Determine j, given that 3*j**3 + 141*j**2 - 927*j + 1431 = 0.
-53, 3
Solve b**4/10 + b**3/5 - 39*b**2/10 - 76*b/5 - 56/5 = 0 for b.
-4, -1, 7
Factor 2*j**4 + 152*j**3 + 444*j**2 + 440*j + 146.
2*(j + 1)**3*(j + 73)
Suppose 2*n**5/15 - 16*n**4/15 + 2*n**3/3 + 20*n**2/3 - 24*n/5 - 48/5 = 0. What is n?
-2, -1, 2, 3, 6
Factor -2*z**2/5 - 444*z/5 - 176.
-2*(z + 2)*(z + 220)/5
Factor -l**2/4 + 3*l/2 - 5/4.
-(l - 5)*(l - 1)/4
Solve 2*r**2/3 - 2048