1, -1
Factor -o**3 - 33*o**2 + 108*o.
-o*(o - 3)*(o + 36)
Factor 3*f**2/2 - 1974*f + 649446.
3*(f - 658)**2/2
Suppose -100*b**3 - 47820*b**2 + 38304*b - 7664 = 0. What is b?
-479, 2/5
Suppose -3*z**5 + 60*z**4 - 450*z**3 + 1500*z**2 - 1875*z = 0. Calculate z.
0, 5
Find o, given that -4*o**5 - 24*o**4 - 8*o**3 + 80*o**2 + 108*o + 40 = 0.
-5, -1, 2
Factor g**3 - 130*g**2 + 4352*g - 8192.
(g - 64)**2*(g - 2)
Determine r so that -2*r**4 + 42*r**3 - 264*r**2 + 616*r - 480 = 0.
2, 5, 12
Factor 2*r**2/11 - 5548*r/11 + 3847538/11.
2*(r - 1387)**2/11
Factor -5*q**2 - 100*q + 105.
-5*(q - 1)*(q + 21)
Let -4*o**2 + 536*o - 17956 = 0. What is o?
67
Determine f, given that -8*f**3/11 + 14*f**2/11 + 10*f/11 - 12/11 = 0.
-1, 3/4, 2
Determine o so that 2*o**3/13 - 8*o**2/13 - 6*o/13 + 36/13 = 0.
-2, 3
Suppose -x**3 + 6*x**2 + 9*x - 14 = 0. Calculate x.
-2, 1, 7
Solve 24*z**3 - 1053*z**2 + 11484*z + 1452 = 0.
-1/8, 22
Solve 2*m**4 + 34*m**3 + 134*m**2 + 174*m + 72 = 0.
-12, -3, -1
Find z such that -z**4 - 490*z**3 - 64725*z**2 - 1151500*z - 5522500 = 0.
-235, -10
Find r such that 4*r**2 - 2716*r + 10800 = 0.
4, 675
Suppose -6*k**3 - 8*k**2 + 30*k = 0. What is k?
-3, 0, 5/3
Factor -5*q**3 - 15*q**2 + 45*q + 135.
-5*(q - 3)*(q + 3)**2
Factor m**5/3 + 74*m**4/3 + 118*m**3 + 628*m**2/3 + 485*m/3 + 46.
(m + 1)**3*(m + 2)*(m + 69)/3
Determine i, given that -i**4/5 - 16*i**3/5 - 58*i**2/5 + 24*i + 135 = 0.
-9, -5, 3
Let 4*m**5/5 + 12*m**4/5 - 36*m**3 + 308*m**2/5 - 144*m/5 = 0. What is m?
-9, 0, 1, 4
Factor -2*i**3/9 - 10*i**2/9 - 14*i/9 - 2/3.
-2*(i + 1)**2*(i + 3)/9
Factor 3*n**4/4 - 15*n**3/2 + 99*n**2/4 - 30*n + 12.
3*(n - 4)**2*(n - 1)**2/4
Find a, given that -a**3 - 22*a**2 + 47*a - 24 = 0.
-24, 1
Factor -5*f**2 + 32650*f - 53301125.
-5*(f - 3265)**2
Factor u**2/4 + 607*u/2 + 368449/4.
(u + 607)**2/4
Factor w**4 - 149*w**3/4 - 1195*w**2/4 + 77*w.
w*(w - 44)*(w + 7)*(4*w - 1)/4
Factor k**2/10 + 138*k.
k*(k + 1380)/10
Factor 3*i**2/4 + 21*i/4 - 45/2.
3*(i - 3)*(i + 10)/4
Determine t so that 5*t**5 - 15*t**4 + 15*t**3 - 5*t**2 = 0.
0, 1
Factor -4*x**3/7 - 156*x**2/7 + 1440*x/7 - 3008/7.
-4*(x - 4)**2*(x + 47)/7
Factor -2*a**3/9 + 34*a**2/9 - 160*a/9 + 128/9.
-2*(a - 8)**2*(a - 1)/9
Find a such that 3*a**4/5 + 15*a**3 - 159*a**2/5 + 81*a/5 = 0.
-27, 0, 1
Factor r**5 + 9*r**4 + 30*r**3 + 46*r**2 + 33*r + 9.
(r + 1)**3*(r + 3)**2
Find m, given that -2*m**5/5 - 2*m**4/5 + 52*m**3/5 - 48*m**2/5 = 0.
-6, 0, 1, 4
What is y in -80*y**5 - 7320*y**4 - 17885*y**3 - 7575*y**2 - 890*y = 0?
-89, -2, -1/4, 0
Determine k, given that 165*k**4 - 95*k**3 - 395*k**2 - 145*k - 10 = 0.
-1, -1/3, -1/11, 2
Let -4*z**4 + 48*z**3 + 124*z**2 - 168*z = 0. What is z?
-3, 0, 1, 14
Factor -4*r**3/3 - 16*r**2 + 52*r/3.
-4*r*(r - 1)*(r + 13)/3
Factor t**4 + 38*t**3 + 36*t**2 - 38*t - 37.
(t - 1)*(t + 1)**2*(t + 37)
Determine t, given that -3*t**5 + 30*t**4 - 21*t**3 - 54*t**2 = 0.
-1, 0, 2, 9
Determine z so that 3*z**4 + 39*z**3 + 78*z**2 - 120*z = 0.
-10, -4, 0, 1
Let t**2/3 - 8*t/3 - 65/3 = 0. What is t?
-5, 13
Let 2*s**5/3 + 14*s**4 + 178*s**3/3 - 14*s**2 - 60*s = 0. Calculate s.
-15, -6, -1, 0, 1
Suppose -z**5 - 219*z**4/4 - 1721*z**3/2 - 2865*z**2 + 2875*z/2 + 9375/4 = 0. Calculate z.
-25, -5, -3/4, 1
Factor j**3/2 + 5*j**2.
j**2*(j + 10)/2
Let -1715*f**4 - 73500*f**3 - 62160*f**2 - 17680*f - 1680 = 0. Calculate f.
-42, -2/7
Factor 245*v**3 - 4935*v**2 - 4365*v - 945.
5*(v - 21)*(7*v + 3)**2
Factor 2*d**4/5 - 54*d**3/5 + 78*d**2 - 338*d/5.
2*d*(d - 13)**2*(d - 1)/5
Factor -15*f**2 + 185*f + 130.
-5*(f - 13)*(3*f + 2)
Let b**5/5 + b**4 + 7*b**3/5 + 3*b**2/5 = 0. What is b?
-3, -1, 0
Factor -2*j**2/5 + 296*j/5 - 584/5.
-2*(j - 146)*(j - 2)/5
Solve -2*j**3/9 - 56*j**2/3 - 1118*j/3 + 7396/9 = 0 for j.
-43, 2
Let 5*r**4 + 3790*r**3 + 7555*r**2 - 3790*r - 7560 = 0. What is r?
-756, -2, -1, 1
Solve -2*r**2/3 + 158*r/3 + 160/3 = 0 for r.
-1, 80
What is a in a**5/4 + 7*a**4/4 - 305*a**3/4 + 1465*a**2/4 + 76*a - 368 = 0?
-23, -1, 1, 8
What is p in 3*p**2/2 - 153*p + 7803/2 = 0?
51
Factor -2*u**4 - 180*u**3 - 1512*u**2 - 4428*u - 4374.
-2*(u + 3)**3*(u + 81)
Factor 3*u**3 + 21*u**2 - 102*u - 120.
3*(u - 4)*(u + 1)*(u + 10)
Factor -g**4 + 18*g**3/5 - 12*g**2/5 - 8*g/5.
-g*(g - 2)**2*(5*g + 2)/5
Let 3*z**5/4 + 45*z**4/2 + 195*z**3 + 165*z**2/2 - 16335*z/4 - 3993 = 0. What is z?
-11, -1, 4
Factor 2*v**3 + 32*v**2 - 38*v - 68.
2*(v - 2)*(v + 1)*(v + 17)
Solve -3*v**3 + 75*v**2 + 252*v = 0 for v.
-3, 0, 28
Solve -5*a**5 - 630*a**4 + 640*a**3 + 630*a**2 - 635*a = 0.
-127, -1, 0, 1
Find r such that -2*r**2/7 + 6*r - 40/7 = 0.
1, 20
Let 12*o**5/7 - 75*o**4/7 + 162*o**3/7 - 132*o**2/7 + 24*o/7 = 0. Calculate o.
0, 1/4, 2
Factor 4*k**2 - 224*k - 228.
4*(k - 57)*(k + 1)
What is x in -2*x**4 + 1342*x**3/3 + 448*x**2/3 = 0?
-1/3, 0, 224
Let -2*j**4/5 + 12*j**3/5 + 2*j**2/5 - 12*j/5 = 0. Calculate j.
-1, 0, 1, 6
Factor -2*d**2/3 - 212*d/3 - 416/3.
-2*(d + 2)*(d + 104)/3
Solve -o**3/4 + 151*o**2/4 + 309*o/4 - 459/4 = 0.
-3, 1, 153
Factor -m**2/5 - m + 6/5.
-(m - 1)*(m + 6)/5
Factor g**2 - 147*g + 146.
(g - 146)*(g - 1)
Solve -2*d**2 - 62*d + 64 = 0 for d.
-32, 1
Suppose o**4/6 - 108*o**3 - 651*o**2/2 - 2*o/3 + 434 = 0. What is o?
-2, 1, 651
Factor 3*n**4 - 24*n**3 + 45*n**2.
3*n**2*(n - 5)*(n - 3)
Factor 5*u**2/6 - 25*u/3 - 65/2.
5*(u - 13)*(u + 3)/6
Factor -k**2/3 + 31*k/3 + 22.
-(k - 33)*(k + 2)/3
Solve 3*d**3/2 - 6*d**2 = 0 for d.
0, 4
Solve -4*m**3 - 324*m**2 - 6396*m + 6724 = 0 for m.
-41, 1
Solve -4*z**3/5 - 896*z**2/5 - 9476*z + 63480 = 0.
-115, 6
Factor 13*v**2/9 - 19*v/9 + 2/3.
(v - 1)*(13*v - 6)/9
Factor 2*f**2/5 + 28*f/5 - 6.
2*(f - 1)*(f + 15)/5
Determine b, given that -b**3 - 2*b**2 + 5*b + 6 = 0.
-3, -1, 2
Let -5*d**3 + 5*d**2 + 60*d = 0. What is d?
-3, 0, 4
Factor -v**3/3 + 2*v**2 - 5*v/3 - 4.
-(v - 4)*(v - 3)*(v + 1)/3
Factor -3*j**3/4 - 879*j**2/4 - 16206*j - 15987.
-3*(j + 1)*(j + 146)**2/4
Factor 5*c**5/4 + 1945*c**4/2 - 23475*c**3/4 + 8820*c**2.
5*c**2*(c - 3)**2*(c + 784)/4
Determine v so that 2*v**5 - 22*v**4 - 484*v**3 + 5324*v**2 + 29282*v - 322102 = 0.
-11, 11
Solve -4*m**3 + 4*m**2 + 16*m - 16 = 0 for m.
-2, 1, 2
Factor -215*y**2 + 800*y + 240.
-5*(y - 4)*(43*y + 12)
Determine u, given that -u**3 - 25*u**2 - 168*u - 144 = 0.
-12, -1
Solve 16*v**2/5 + 124*v/5 - 32/5 = 0 for v.
-8, 1/4
Determine r so that -r**2/6 = 0.
0
Factor y**2/2 + 20*y + 39/2.
(y + 1)*(y + 39)/2
Suppose -2*z**4/17 + 22*z**3/17 - 66*z**2/17 + 74*z/17 - 28/17 = 0. Calculate z.
1, 2, 7
Factor 2*b**2/19 + 16*b/19.
2*b*(b + 8)/19
Solve 4*a**3 + 420*a**2 + 11232*a + 10816 = 0.
-52, -1
Let -3*o**4/4 + 9*o**3/2 + 3*o**2/4 - 9*o/2 = 0. What is o?
-1, 0, 1, 6
Factor t**2/3 + 203*t/3 + 202/3.
(t + 1)*(t + 202)/3
Factor w**2 + 23*w + 22.
(w + 1)*(w + 22)
Factor p**2/3 + 100*p/3 - 68.
(p - 2)*(p + 102)/3
What is s in s**2 - 46*s - 312 = 0?
-6, 52
Determine v, given that v**5 + 7*v**4 + 14*v**3 + 8*v**2 = 0.
-4, -2, -1, 0
Determine r, given that -r**2/10 + 11*r/10 - 1 = 0.
1, 10
Factor v**4/6 - 4*v**3 + 85*v**2/6 - 17*v + 20/3.
(v - 20)*(v - 2)*(v - 1)**2/6
Factor -2*i**3/5 + 7002*i**2/5 - 8171334*i/5 + 3178648926/5.
-2*(i - 1167)**3/5
Factor 2*o**5 + 12*o**4 - 46*o**3 - 120*o**2 - 64*o.
2*o*(o - 4)*(o + 1)**2*(o + 8)
Factor 3765*j**2 + 7550*j + 40.
5*(j + 2)*(753*j + 4)
Suppose 2*u**4/3 - 14*u**3/3 - 20*u**2 = 0. Calculate u.
-3, 0, 10
Factor a**4/4 + 141*a**3/4 - a**2/4 - 141*a/4.
a*(a - 1)*(a + 1)*(a + 141)/4
Factor q**4 + 9*q**3 + 18*q**2 - 32*q - 96.
(q - 2)*(q + 3)*(q + 4)**2
Factor -b**2/5 + 16*b/5 - 39/5.
-(b - 13)*(b - 3)/5
Solve v**3/3 - 5*v**2/3 - 608*v/3 + 2304 = 0 for v.
-27, 16
Suppose 4*y**5 + 112*y**4 - 8*y**3 - 224*y**2 + 4*y + 112 = 0. What is y?
-28, -1, 1
Suppose 5*x**5 + 2520*x**4 + 294165*x**3 - 5850090*x**2 + 36221580*x - 73570680 = 0. What is x?
-261, 6
Find u, given that -8*u**5/5 - 6*u**4/5 + 18*u**3/5 - 4*u**2/5 = 0.
-2, 0, 1/4, 1
Factor -4*o**3 + 32*o**2 - 80*o + 64.
-4*(o - 4)*(o - 2)**2
Factor h**3/4 - h**2 - 5*h/4.
h*(h - 5)*(h + 1)/4
Factor -3*s**3/4 + 3*s**2 + 63*s/4.
-3*s*(s - 7)*(s + 3)/4
Determine f so that -4*f**5 - 20*f**4 + 52*f**3 - 28*f**2 = 0.
-7, 0, 1
Factor 4*b**5 - 28*b**4 - 160*b**3 - 176*b**2.
4*b**2*(b - 11)*(b + 2)**2
Let -c**2/2 + 19*c + 40 = 0. Calculate c.
-2, 40
Factor -2*u**3/1