377*d/11 - 1356/11 = 0.
-339, -1, 4
Determine v, given that -2*v**5 + 408*v**4 - 20802*v**3 - 1220*v**2 + 61608*v + 41616 = 0.
-1, 2, 102
Factor -i**4 - 23*i**3 - 94*i**2 - 72*i.
-i*(i + 1)*(i + 4)*(i + 18)
Factor -z**3/3 - 43*z**2/3 + 44*z/3.
-z*(z - 1)*(z + 44)/3
What is n in -9*n**4/4 - 69*n**3 + 1043*n**2/4 + 393*n/2 + 34 = 0?
-34, -1/3, 4
Let w**2/2 - 68*w + 2312 = 0. Calculate w.
68
Factor y**4/8 + 19*y**3/8 + 6*y**2 - y/2 - 8.
(y - 1)*(y + 2)**2*(y + 16)/8
What is n in 27*n**5 + 141*n**4 - 1025*n**3/3 + 25*n**2/3 + 944*n/3 - 448/3 = 0?
-7, -1, 8/9, 1
Factor 22*c**2/9 - 268*c/9 + 16/3.
2*(c - 12)*(11*c - 2)/9
Determine m, given that -2*m**2 + 236*m - 912 = 0.
4, 114
Factor -w**3/4 - 14*w**2 - 196*w.
-w*(w + 28)**2/4
Factor -2*n**4 - 8*n**3 - 8*n**2.
-2*n**2*(n + 2)**2
Factor 5*j**2 + 690*j + 6400.
5*(j + 10)*(j + 128)
Factor -845*x**4 + 48100*x**3 - 706340*x**2 + 621600*x - 141120.
-5*(x - 28)**2*(13*x - 6)**2
Find r, given that 445*r**2 - 889*r - 2 = 0.
-1/445, 2
Determine v, given that 3*v**4/7 + 66*v**3/7 - 249*v**2/7 - 6732*v/7 + 31212/7 = 0.
-17, 6
Factor -2*i**2 + 128*i - 366.
-2*(i - 61)*(i - 3)
Factor -4*n**5/5 - 8*n**4/5 + 16*n**3/5 + 32*n**2/5.
-4*n**2*(n - 2)*(n + 2)**2/5
Factor 2*a**3 - 12*a**2 - 224*a.
2*a*(a - 14)*(a + 8)
Solve 7632*t**2 - 2541*t - 1 = 0 for t.
-1/2544, 1/3
Find y such that -5*y**4 - 165*y**3 + 350*y**2 = 0.
-35, 0, 2
Let -2*q**5 - 14*q**4/5 + 12*q**3/5 + 4*q**2 - 2*q/5 - 6/5 = 0. Calculate q.
-1, 3/5, 1
Factor -z**2/7 + 70*z.
-z*(z - 490)/7
Factor 1029*j**5 - 455994*j**4 + 50321880*j**3 + 43356624*j**2 + 12408912*j + 1182816.
3*(j - 222)**2*(7*j + 2)**3
Factor -3*q**3/2 - 423*q**2/2 - 1653*q/2 - 1233/2.
-3*(q + 1)*(q + 3)*(q + 137)/2
Factor -28*h**3 - 92*h**2 - 24*h.
-4*h*(h + 3)*(7*h + 2)
Let 55*x**4 - 1420*x**3 - 315*x**2 + 1420*x + 260 = 0. Calculate x.
-1, -2/11, 1, 26
Suppose 10*l**3 - 165*l**2 + 360*l - 140 = 0. Calculate l.
1/2, 2, 14
Factor 7*a**2/2 - 379*a + 108.
(a - 108)*(7*a - 2)/2
Suppose 52*q**3 + 8*q**2 - 52*q - 8 = 0. Calculate q.
-1, -2/13, 1
Determine g so that -2*g**3/9 + 122*g**2/9 - 640*g/3 + 200 = 0.
1, 30
Let 2*f**5/7 - 8*f**4/7 + 10*f**3/7 - 4*f**2/7 = 0. Calculate f.
0, 1, 2
Factor a**3/7 - a**2/7 - 6*a/7.
a*(a - 3)*(a + 2)/7
Factor -p**2/9 - 14*p - 441.
-(p + 63)**2/9
Factor 3*a**4 + 33*a**3 - 120*a**2 + 84*a.
3*a*(a - 2)*(a - 1)*(a + 14)
Solve -2*p**5/5 - 8*p**4/5 + 32*p**3/5 + 128*p**2/5 = 0.
-4, 0, 4
Solve 2*k**3 + 12*k**2 - 14*k = 0.
-7, 0, 1
Factor 3*x**4/7 + 48*x**3/7 + 72*x**2/7 - 960*x/7 + 1200/7.
3*(x - 2)**2*(x + 10)**2/7
Factor -f**4/4 + 3*f**2/4 - f/2.
-f*(f - 1)**2*(f + 2)/4
What is m in -4*m**2 + 124*m + 1064 = 0?
-7, 38
Factor -u**2/8 - 21*u/8 + 65/4.
-(u - 5)*(u + 26)/8
Factor -3*s**2/8 + 5811*s/8.
-3*s*(s - 1937)/8
Let -l**3/6 + 23*l**2/3 - 497*l/6 + 784/3 = 0. What is l?
7, 32
Find b, given that 4*b**3 - 220*b**2 - 224*b = 0.
-1, 0, 56
Factor 5*n**2 - 150*n - 155.
5*(n - 31)*(n + 1)
Determine q so that q**4 - 9*q**3 - 76*q**2 + 84*q = 0.
-6, 0, 1, 14
Factor -22500*r**3 + 1438800*r**2 + 76784*r + 1024.
-4*(r - 64)*(75*r + 2)**2
Solve x**5/2 + 3*x**4/2 - 4*x**3 - 12*x**2 + 8*x + 24 = 0.
-3, -2, 2
What is o in 4*o**4 - 140*o**3 - 4*o**2 + 140*o = 0?
-1, 0, 1, 35
Factor 2*o**2 + 488*o + 3318.
2*(o + 7)*(o + 237)
Suppose -490000*g**2 + 8400*g - 36 = 0. What is g?
3/350
Factor 2*t**2 - 14*t - 196.
2*(t - 14)*(t + 7)
Factor -15*f**2/4 + 95*f/4 - 65/2.
-5*(f - 2)*(3*f - 13)/4
Find p such that -6*p**5 + 165*p**4 + 438*p**3 + 357*p**2 + 90*p = 0.
-1, -1/2, 0, 30
Determine y, given that y**5/4 - 3*y**4/4 - y**3/2 + 3*y**2/2 + y/4 - 3/4 = 0.
-1, 1, 3
Solve -2*a**2/9 + 1556*a/9 - 302642/9 = 0 for a.
389
Factor -3*z**3/8 - 1161*z**2/8 - 14256*z - 41472.
-3*(z + 3)*(z + 192)**2/8
Suppose -a**4/3 + 752*a**3/3 - 63000*a**2 + 16000000*a/3 - 31250000/3 = 0. What is a?
2, 250
Find k, given that 108*k**4 - 2604*k**3 - 5192*k**2 - 2896*k - 416 = 0.
-1, -2/3, -2/9, 26
Determine b, given that 2*b**4 + 33*b**3/2 + 14*b**2 - 51*b/2 - 7 = 0.
-7, -2, -1/4, 1
Factor -u**2/2 - 13*u - 24.
-(u + 2)*(u + 24)/2
What is y in -y**4 + 70*y**3 + 219*y**2 = 0?
-3, 0, 73
What is z in z**4/8 - 3*z**3/8 + 3*z**2/8 - z/8 = 0?
0, 1
Factor -5*u**2 - 10*u.
-5*u*(u + 2)
Solve 2*i**2 + 240*i + 7200 = 0 for i.
-60
Suppose 3*s**4/4 - 11*s**3/2 - 73*s**2/4 - 17*s - 5 = 0. Calculate s.
-1, -2/3, 10
Find b, given that 2*b**2/7 + 94*b/7 + 180/7 = 0.
-45, -2
Factor 2*t**3/5 + 22*t**2/5 + 4*t.
2*t*(t + 1)*(t + 10)/5
Suppose 2*o**4 + 54*o**3 + 234*o**2 + 314*o + 132 = 0. Calculate o.
-22, -3, -1
Determine q, given that q**3 + 7*q**2 + 11*q + 5 = 0.
-5, -1
Suppose -l**5 - 9*l**4 - 12*l**3 + 80*l**2 + 192*l = 0. What is l?
-4, 0, 3
Factor -h**2/6 - 3*h - 28/3.
-(h + 4)*(h + 14)/6
What is d in d**3/4 - d = 0?
-2, 0, 2
Suppose -5*j**5 + 15*j**4 + 30*j**3 - 130*j**2 + 135*j - 45 = 0. Calculate j.
-3, 1, 3
Suppose -2*m**5/11 - 10*m**4/11 - 4*m**3/11 + 16*m**2/11 = 0. Calculate m.
-4, -2, 0, 1
Solve -m**2/10 - 163*m/10 - 124 = 0 for m.
-155, -8
Factor 3*d**4 - 510*d**3 + 1512*d**2 - 1506*d + 501.
3*(d - 167)*(d - 1)**3
Factor 15*b**3/4 - 123*b**2/4 + 66*b - 39.
3*(b - 2)*(b - 1)*(5*b - 26)/4
Suppose -a**4 - 8*a**3 + 11*a**2 + 18*a = 0. What is a?
-9, -1, 0, 2
Factor d**4/5 - 96*d**3/5 + 2303*d**2/5 + 96*d/5 - 2304/5.
(d - 48)**2*(d - 1)*(d + 1)/5
Let -16*x**5 + 52*x**4 - 64*x**3 + 37*x**2 - 10*x + 1 = 0. What is x?
1/4, 1/2, 1
Factor g**2/3 - 20*g/3 + 19/3.
(g - 19)*(g - 1)/3
Factor 21*d**4 - 153*d**3 + 210*d**2 + 288*d - 96.
3*(d - 4)**2*(d + 1)*(7*d - 2)
Factor 8*c**2/9 - 86*c/3.
2*c*(4*c - 129)/9
Factor -2*i**2/3 - 370*i/3 + 124.
-2*(i - 1)*(i + 186)/3
Factor -4*w**5 + 116*w**4 - 896*w**3 + 784*w**2.
-4*w**2*(w - 14)**2*(w - 1)
Factor -2*y**3/5 - 14*y**2/5 + 208*y/5 - 96.
-2*(y - 4)**2*(y + 15)/5
Factor 4*h**4 + 492*h**3 - 500*h**2 - 492*h + 496.
4*(h - 1)**2*(h + 1)*(h + 124)
Factor -f**2 - 105*f + 214.
-(f - 2)*(f + 107)
Factor x**2/3 + 25*x/3 - 18.
(x - 2)*(x + 27)/3
Determine r so that 2*r**3 + 20*r**2 + 58*r + 40 = 0.
-5, -4, -1
Suppose 10*y**3 - 2625*y**2/2 + 315*y + 3275/2 = 0. Calculate y.
-1, 5/4, 131
Factor 11*d**3/5 + 17*d**2 + 152*d/5 - 48/5.
(d + 4)**2*(11*d - 3)/5
Factor -5*h**5/2 + 1325*h**4/2 - 44875*h**3 + 130675*h**2 - 258725*h/2 + 85805/2.
-5*(h - 131)**2*(h - 1)**3/2
Factor k**4/4 + 7*k**3/2 + 3*k**2 - 7*k/2 - 13/4.
(k - 1)*(k + 1)**2*(k + 13)/4
Factor 3*h**3/4 + 21*h**2/4 + 3*h/2 - 30.
3*(h - 2)*(h + 4)*(h + 5)/4
Determine p so that -p**2/3 + 35*p/3 - 100 = 0.
15, 20
Determine x, given that 9*x**3 - 21*x**2 + 15*x - 3 = 0.
1/3, 1
Suppose c**3/3 - 113*c**2 + 1343*c/3 - 335 = 0. Calculate c.
1, 3, 335
Let -3*a**4/7 - 3*a**3 - 30*a**2/7 = 0. Calculate a.
-5, -2, 0
Determine j, given that j**5 + 47*j**4 - 99*j**3 - 47*j**2 + 98*j = 0.
-49, -1, 0, 1, 2
Solve -2*p**5/5 + 2*p**4/5 + 58*p**3/5 - 18*p**2 - 432*p/5 + 864/5 = 0 for p.
-4, 3
Factor -2*m**5/5 + 2*m**4/5 + 2*m**3/5 - 2*m**2/5.
-2*m**2*(m - 1)**2*(m + 1)/5
Factor 18*a**5/7 - 34*a**4/7 - 6*a**3/7 + 6*a**2 - 20*a/7.
2*a*(a - 1)**3*(9*a + 10)/7
Find x such that x**5/2 + 19*x**4/2 - 56*x**3 + 94*x**2 - 48*x = 0.
-24, 0, 1, 2
Factor -2*o**5/7 - 176*o**4/7 + 1504*o**3/7 - 3072*o**2/7.
-2*o**2*(o - 4)**2*(o + 96)/7
Factor -2*d**5 - 6*d**4 - 4*d**3.
-2*d**3*(d + 1)*(d + 2)
Suppose 20*w**5 - 105*w**4 - 35*w**3 + 355*w**2 - 285*w + 50 = 0. Calculate w.
-2, 1/4, 1, 5
Solve 3*c**4 + 3*c**3 - 9*c**2 - 3*c + 6 = 0.
-2, -1, 1
Factor -o**2/4 - 7*o - 33.
-(o + 6)*(o + 22)/4
Factor 4*r**2/7 + 4520*r/7 + 9024/7.
4*(r + 2)*(r + 1128)/7
Factor -2*d**2 - 26*d - 60.
-2*(d + 3)*(d + 10)
Factor 9*y**2 + 4647*y - 3102.
3*(y + 517)*(3*y - 2)
What is a in a**3 - a = 0?
-1, 0, 1
Factor -2*r**4 + 336*r**3 + 1026*r**2.
-2*r**2*(r - 171)*(r + 3)
Factor 2*c**5 + 64*c**4 + 56*c**3 - 196*c**2 - 314*c - 124.
2*(c - 2)*(c + 1)**3*(c + 31)
Solve 2*u**4/7 - 312*u**3/7 + 13352*u**2/7 - 92352*u/7 + 175232/7 = 0 for u.
4, 74
Solve -4*b**2/7 - 824*b/7 - 820/7 = 0.
-205, -1
Solve -2*d**2/7 + 46*d/7 - 264/7 = 0 for d.
11, 12
Let 3*l**4/2 + 54*l**3 + 375*l**2 - 918*l + 975/2 = 0. Calculate l.
-25, -13, 1
Factor 18*g**3 - 268*g**2 - 18*g + 268.
2*(g - 1)*(g + 1)*(9*g - 134)
Factor g**2/7 + 12*g/7 - 45/7.
(g - 3)*(g + 15)/7
Factor -a**4/2 + 25*a**3/2 + 61*a**2/2 - 193*a/2 + 54.
-(a - 27)*(a -