 + 135*w - 81 = 0.
3
Factor -o**4/2 + 2*o**3 - o**2 - 2*o + 3/2.
-(o - 3)*(o - 1)**2*(o + 1)/2
Factor -4*k**4 - 60*k**3 + 68*k**2 + 60*k - 64.
-4*(k - 1)**2*(k + 1)*(k + 16)
Let -j**2 - 25*j - 46 = 0. Calculate j.
-23, -2
Factor 2*d**3/13 - 2766*d**2/13 + 5526*d/13 - 2762/13.
2*(d - 1381)*(d - 1)**2/13
Factor z**5/3 - 142*z**4 + 2114*z**3/3 - 3796*z**2/3 + 983*z - 842/3.
(z - 421)*(z - 2)*(z - 1)**3/3
Solve -4*h**2 - 616*h - 23716 = 0 for h.
-77
Factor -w**2/2 - 35*w/2 - 48.
-(w + 3)*(w + 32)/2
Let 2*d**2 + 246*d = 0. What is d?
-123, 0
Solve 4*f**5 - 32*f**4 + 52*f**3 + 104*f**2 - 256*f + 128 = 0.
-2, 1, 4
Factor 16*z**3/5 + 24*z**2 - 63*z/5 - 1323/5.
(z - 3)*(4*z + 21)**2/5
Factor z**2/6 + 796*z.
z*(z + 4776)/6
Factor -4*g**3 + 28*g + 24.
-4*(g - 3)*(g + 1)*(g + 2)
Factor -3*z**2/2 - 3822*z - 2434614.
-3*(z + 1274)**2/2
Factor 2*x**5/7 - 30*x**4/7 + 144*x**3/7 - 32*x**2.
2*x**2*(x - 7)*(x - 4)**2/7
Suppose 20*o**3 - 117*o**2 + 162*o + 27 = 0. Calculate o.
-3/20, 3
Find u, given that -u**4/3 - 4*u**3 + 15*u**2 - 4*u/3 - 20 = 0.
-15, -1, 2
Suppose 2*y**3/11 + 6840*y**2/11 + 5848200*y/11 = 0. Calculate y.
-1710, 0
Let 3*y**5 + 69*y**4 - 234*y**3 = 0. What is y?
-26, 0, 3
Factor 4*j**3/7 + 220*j**2/7 + 3132*j/7 + 2916/7.
4*(j + 1)*(j + 27)**2/7
Determine j, given that -j**4/4 - 9*j**3/4 - 5*j**2 - 3*j = 0.
-6, -2, -1, 0
Factor -3*u**2/5 + 21*u/5 + 24/5.
-3*(u - 8)*(u + 1)/5
What is l in -4*l**4 - 22*l**3 - 8*l**2 + 10*l = 0?
-5, -1, 0, 1/2
Solve 2*k**5 - 44*k**4 - 322*k**3 - 404*k**2 + 320*k + 448 = 0 for k.
-4, -2, -1, 1, 28
Factor -5*u**4 + 135*u**3 - 1125*u**2 + 3625*u - 3750.
-5*(u - 15)*(u - 5)**2*(u - 2)
Solve 5*t**5 - 115*t**4 + 280*t**3 + 4900*t**2 = 0 for t.
-5, 0, 14
Suppose 5*b**5 - 30*b**4 - 105*b**3 + 170*b**2 + 240*b = 0. Calculate b.
-3, -1, 0, 2, 8
Factor -12*l**2 - 81*l + 21.
-3*(l + 7)*(4*l - 1)
Suppose -4*x**2 + 56*x + 60 = 0. Calculate x.
-1, 15
Determine b, given that -2*b**3 - 12*b**2 = 0.
-6, 0
Factor 3*v**3 + 39*v**2 - 144*v.
3*v*(v - 3)*(v + 16)
What is q in -4*q**4 + 60*q**3 + 84*q**2 - 332*q + 192 = 0?
-3, 1, 16
Let s**3/2 - 3*s**2/2 - 3*s + 4 = 0. Calculate s.
-2, 1, 4
Suppose t**2/5 - 2*t + 5 = 0. Calculate t.
5
What is m in -2*m**3/7 - 16*m**2/7 + 22*m/7 + 36/7 = 0?
-9, -1, 2
Factor 2*v**2/7 - 6*v/7 - 20/7.
2*(v - 5)*(v + 2)/7
Factor -4*w**3 + 52*w**2 - 40*w - 96.
-4*(w - 12)*(w - 2)*(w + 1)
Factor -5*d**2/4 - 15*d/4 - 5/2.
-5*(d + 1)*(d + 2)/4
Factor v**4/2 - 5*v**3 - 2*v**2 + 20*v.
v*(v - 10)*(v - 2)*(v + 2)/2
Factor -5*b**3 + 110*b**2 - 295*b + 190.
-5*(b - 19)*(b - 2)*(b - 1)
What is t in 3*t**4/4 - 237*t**3/4 + 228*t**2 - 225*t = 0?
0, 2, 75
Factor -3*p**4/8 + 489*p**3/4 - 91407*p**2/8 + 476775*p/2 - 2851875/2.
-3*(p - 150)**2*(p - 13)**2/8
Suppose h**2/4 - 228*h - 913/4 = 0. What is h?
-1, 913
Determine n, given that -16*n**4 + 248*n**3 + 399*n**2 + 152*n + 17 = 0.
-1, -1/4, 17
Solve -h**4/3 + 89*h**3/3 + 182*h**2/3 = 0.
-2, 0, 91
Factor 27*u**3 - 8040*u**2 - 17988*u - 3600.
3*(u - 300)*(u + 2)*(9*u + 2)
Solve -5*y**2/3 - 40*y - 640/3 = 0.
-16, -8
Solve -5*s**2 - 110*s - 605 = 0.
-11
Factor -w**2/6 - 4387*w/3 - 19245769/6.
-(w + 4387)**2/6
Determine q so that 9*q**5/5 - 42*q**4/5 - 231*q**3/5 - 108*q**2/5 + 276*q/5 + 96/5 = 0.
-2, -1/3, 1, 8
Determine p so that 5*p**5 + 245*p**4 + 2085*p**3 - 245*p**2 - 2090*p = 0.
-38, -11, -1, 0, 1
Solve -r**4/4 - 59*r**3/2 - 233*r**2/4 - 29*r = 0.
-116, -1, 0
Suppose 3*n**2 - 282*n - 576 = 0. What is n?
-2, 96
Factor -4*i**3/5 - 64*i**2/5 - 112*i/5.
-4*i*(i + 2)*(i + 14)/5
Factor 2*q**2/5 - 6*q/5 - 8/5.
2*(q - 4)*(q + 1)/5
Determine c so that 2*c**3 + 86*c**2 - 88*c = 0.
-44, 0, 1
Determine y, given that 5*y**4 + 65*y**3 + 90*y**2 - 1620*y - 5400 = 0.
-6, 5
Factor 27*n**2 - 213*n - 1794.
3*(n - 13)*(9*n + 46)
Factor 2*w**3 - 84*w**2 - 2*w + 84.
2*(w - 42)*(w - 1)*(w + 1)
Find c, given that 4*c**5 - 2*c**4 - 44*c**3 - 50*c**2 + 4*c + 16 = 0.
-2, -1, 1/2, 4
Factor 2*s**2/13 - 1360*s/13 + 231200/13.
2*(s - 340)**2/13
Factor -3*j**3 + 15*j**2 + 39*j + 21.
-3*(j - 7)*(j + 1)**2
Factor -8*q**2 + 12*q + 36.
-4*(q - 3)*(2*q + 3)
Factor n**2 + 29*n + 198.
(n + 11)*(n + 18)
Determine z, given that 2*z**5/5 - 18*z**4/5 - 72*z**3/5 - 8*z**2/5 + 96*z/5 = 0.
-2, 0, 1, 12
What is d in -d**2 - 27*d = 0?
-27, 0
Let g**5/3 - 7*g**4/3 - 80*g**3/3 - 232*g**2/3 - 272*g/3 - 112/3 = 0. Calculate g.
-2, -1, 14
Suppose -2*n**5/7 - 4*n**4/7 + 2*n**3/7 + 4*n**2/7 = 0. Calculate n.
-2, -1, 0, 1
Suppose 4*g**4 - 118*g**3 + 152*g**2 + 442*g + 168 = 0. Calculate g.
-1, -1/2, 3, 28
Factor a**3/6 - 29*a**2/6 - 31*a/3.
a*(a - 31)*(a + 2)/6
Let y**5/3 - 5*y**4/2 + 9*y**3/2 + 9*y**2/2 - 27*y/2 = 0. What is y?
-3/2, 0, 3
What is u in -4*u**5 + 152*u**4 - 1656*u**3 + 3152*u**2 + 11900*u + 6936 = 0?
-1, 6, 17
Let 2*y**3/11 - 58*y**2/11 - 210*y/11 + 11466/11 = 0. What is y?
-13, 21
Factor -3*b**4 + 99*b**3 + 9*b**2 - 291*b - 198.
-3*(b - 33)*(b - 2)*(b + 1)**2
Factor 4*d**2 + 508*d - 512.
4*(d - 1)*(d + 128)
Factor m**4/11 + 36*m**3/11 - 156*m**2/11 + 160*m/11.
m*(m - 2)**2*(m + 40)/11
Find j, given that -3*j**4 + 30*j**3 - 39*j**2 - 180*j - 108 = 0.
-1, 6
Factor -25*l**3 - 245*l**2 - 175*l + 45.
-5*(l + 1)*(l + 9)*(5*l - 1)
Factor -2*k**3 - 908*k**2 - 102144*k + 207936.
-2*(k - 2)*(k + 228)**2
Factor -f**3/4 + 17*f**2/4.
-f**2*(f - 17)/4
Determine q so that 6*q**5 + 2*q**4 - 162*q**3 + 246*q**2 - 44*q - 48 = 0.
-6, -1/3, 1, 4
Solve -17*o**2/6 + 35*o/3 - 4/3 = 0.
2/17, 4
Determine u, given that -3*u**2 + 174*u - 2523 = 0.
29
Determine o so that 3*o**5 + 48*o**4 + 189*o**3 - 48*o**2 - 192*o = 0.
-8, -1, 0, 1
Determine p so that 4*p**2 + 112*p + 588 = 0.
-21, -7
Let -2*q**5 + 3*q**4/2 + 5*q**3/2 - 3*q**2/2 - q/2 = 0. Calculate q.
-1, -1/4, 0, 1
Factor -x**5/3 - x**4/3 + 2*x**3/3 + 2*x**2/3 - x/3 - 1/3.
-(x - 1)**2*(x + 1)**3/3
Let -r**2/5 - 3*r - 14/5 = 0. Calculate r.
-14, -1
Solve -z**2/2 - 129*z/2 + 266 = 0.
-133, 4
Let -2*h**2/7 + 124*h/7 - 570/7 = 0. Calculate h.
5, 57
Let 12*s**4 + 68*s**3 + 88*s**2 + 32*s = 0. What is s?
-4, -1, -2/3, 0
Determine j, given that 4*j**3/5 - 28*j**2/5 - 4*j/5 + 28/5 = 0.
-1, 1, 7
Factor -6*p**3/11 + 706*p**2/11 - 468*p/11.
-2*p*(p - 117)*(3*p - 2)/11
Find y, given that -9*y**3/2 + 84*y**2 + 118*y + 40 = 0.
-2/3, 20
Determine w, given that 3*w**5 + 78*w**4 - 1212*w**3 + 5640*w**2 - 10752*w + 7296 = 0.
-38, 2, 4
Factor 5*a**5 - 190*a**3 - 360*a**2 - 175*a.
5*a*(a - 7)*(a + 1)**2*(a + 5)
Factor -3*s**4/4 + 3*s**3/4 + 315*s**2/2.
-3*s**2*(s - 15)*(s + 14)/4
Factor v**3/5 - 26*v**2/5 + 44*v - 120.
(v - 10)**2*(v - 6)/5
Factor -4*d**2 + 168*d + 3136.
-4*(d - 56)*(d + 14)
Let -1589*c**2/3 - 2*c/3 = 0. What is c?
-2/1589, 0
Find a, given that a**5/2 - 8*a**4 + 77*a**3/2 - 67*a**2 + 36*a = 0.
0, 1, 2, 4, 9
Solve -b**2/5 + 12068*b/5 - 36409156/5 = 0 for b.
6034
Factor 260*r**2/7 + 272*r/7 + 12/7.
4*(r + 1)*(65*r + 3)/7
Let y**3/3 + y**2/3 - y/3 - 1/3 = 0. Calculate y.
-1, 1
Factor 4*n**3 - 46*n**2 + 96*n - 54.
2*(n - 9)*(n - 1)*(2*n - 3)
Find w, given that 4*w**3 - 4*w**2 - 16*w + 16 = 0.
-2, 1, 2
Factor -4*u**3 - 7076*u**2 - 3132896*u - 3125824.
-4*(u + 1)*(u + 884)**2
Determine n, given that 4*n**4 - 68*n**3 - 240*n**2 - 16*n + 320 = 0.
-2, 1, 20
Suppose -q**3 - 45*q**2 + 93*q - 47 = 0. What is q?
-47, 1
Factor -2*w**2 + 2200*w - 605000.
-2*(w - 550)**2
Determine u, given that 3*u**2/5 + 174*u/5 = 0.
-58, 0
Suppose 5*i**3/4 + 4735*i**2/2 + 4465045*i/4 - 4503005 = 0. What is i?
-949, 4
Find s, given that s**2/3 + 66*s = 0.
-198, 0
Suppose -2*o**2/17 + 406*o/17 - 404/17 = 0. Calculate o.
1, 202
Solve -144*h**5 + 2244*h**4 + 1124*h**3 - 2592*h**2 - 560*h + 768 = 0.
-1, -3/4, 2/3, 16
Suppose 2*q**5/15 - 4*q**4/5 - 38*q**3/15 + 176*q**2/15 - 8*q/5 - 224/15 = 0. Calculate q.
-4, -1, 2, 7
Factor 2*d**4/7 - 2*d**3/7 - 4*d**2/7.
2*d**2*(d - 2)*(d + 1)/7
Suppose -5*p**4 - 55*p**3 - 40*p**2 + 100*p = 0. Calculate p.
-10, -2, 0, 1
Factor -2*h**3/11 - 26*h**2/11 + 2*h/11 + 26/11.
-2*(h - 1)*(h + 1)*(h + 13)/11
Determine b so that b**2/5 - 8632*b/5 + 18627856/5 = 0.
4316
Find q, given that 5*q**2 + 18910*q + 17879405 = 0.
-1891
Factor -71*c**4 - 144*c**3 - 4*c**2.
-c**2*(c + 2)*(71*c + 2)
Determine l so that l**5/3 - 2*l**4/3 - 11*l**3/3 + 4*l**2 = 0.
-3, 0, 1, 4
Factor -3*g**2 - 21*g - 36.
-3*(