4*n**3 - 80*n**2 = 0.
-4, -1, 0, 5
Factor -3*j**5 - 2*j**4 + 5*j**3 + 4*j**2.
-j**2*(j + 1)**2*(3*j - 4)
Solve -2*b**2 + 2*b + 60 = 0 for b.
-5, 6
Let -2*y**4 - 138*y**3 - 136*y**2 = 0. What is y?
-68, -1, 0
Suppose -3*u**4 + 24*u**3 - 15*u**2 - 42*u = 0. What is u?
-1, 0, 2, 7
Factor -3*d**5 - 1365*d**4 + 2742*d**3.
-3*d**3*(d - 2)*(d + 457)
Suppose 4*c**4/7 - 44*c**3/7 - 240*c**2/7 = 0. What is c?
-4, 0, 15
Determine m, given that 2*m**3/7 - 20*m**2/7 + 32*m/7 = 0.
0, 2, 8
Factor -2*s**3/7 - 34*s**2/7 + 18*s/7 + 306/7.
-2*(s - 3)*(s + 3)*(s + 17)/7
Factor -2*v**4/9 - 2*v**3/9 + 14*v**2/3 + 10*v.
-2*v*(v - 5)*(v + 3)**2/9
Let -5*z**3 - 210*z**2 - 2085*z - 5800 = 0. Calculate z.
-29, -8, -5
Factor q**2/5 - 9*q - 94/5.
(q - 47)*(q + 2)/5
Factor a**3/4 + a**2/4 - 9*a - 9.
(a - 6)*(a + 1)*(a + 6)/4
Determine x so that 3*x**2 - 69*x = 0.
0, 23
Find d, given that -2*d**5 - 6*d**4 + 22*d**3 + 6*d**2 - 20*d = 0.
-5, -1, 0, 1, 2
Factor -m**4/3 + m**3 + 13*m**2/3 - 5*m.
-m*(m - 5)*(m - 1)*(m + 3)/3
Factor 4*z**3 - 232*z**2.
4*z**2*(z - 58)
Factor -3*g**3 - 222*g**2 - 3075*g + 40344.
-3*(g - 8)*(g + 41)**2
Find i, given that 10*i**5/3 + 32*i**4 + 110*i**3 + 452*i**2/3 + 40*i - 48 = 0.
-3, -2, 2/5
Let 2*v**5/11 - 576*v**4/11 + 3664*v**3 + 168192*v**2/11 + 170528*v/11 = 0. What is v?
-2, 0, 146
Solve -t**4/3 + 13*t**3/6 + 149*t**2/6 + 251*t/6 + 39/2 = 0 for t.
-9/2, -1, 13
Determine c, given that 128*c**5/9 - 32*c**4/9 - 280*c**3/3 - 598*c**2/9 - 146*c/9 - 4/3 = 0.
-2, -1/4, 3
Solve b**5/5 + b**4 - 47*b**3/5 - 21*b**2 - 54*b/5 = 0.
-9, -1, 0, 6
Factor c**5/4 - c**3 - c**2/2 + 3*c/4 + 1/2.
(c - 2)*(c - 1)*(c + 1)**3/4
Solve y**2 - 8*y + 15 = 0 for y.
3, 5
Let -f**3/6 - 67*f**2/6 - 11*f = 0. What is f?
-66, -1, 0
Factor 5*i**2 - 25*i - 120.
5*(i - 8)*(i + 3)
Factor -h**2 - 52*h + 53.
-(h - 1)*(h + 53)
Suppose 5*c**3 + 50*c**2 + 120*c = 0. Calculate c.
-6, -4, 0
Let 4*r**3 + 31608*r**2 + 83255472*r + 73098304416 = 0. Calculate r.
-2634
Find a, given that -a**2 - 124*a = 0.
-124, 0
Suppose 2*o**2/21 - 58*o/21 + 36/7 = 0. What is o?
2, 27
Factor i**3 + 29*i**2 - 252*i.
i*(i - 7)*(i + 36)
Let 5*y**3 - 45*y**2 - 150*y + 1000 = 0. What is y?
-5, 4, 10
Factor 2*i**5/11 + 32*i**4/11 + 14*i**3 + 196*i**2/11.
2*i**2*(i + 2)*(i + 7)**2/11
Suppose -5*s**3 - 110*s**2 + 900*s + 22680 = 0. What is s?
-18, 14
Solve -14*x**5/11 - 24*x**4/11 + 834*x**3/11 - 2924*x**2/11 + 3288*x/11 - 720/11 = 0.
-10, 2/7, 2, 3
Factor -3*t**2 + 114*t - 216.
-3*(t - 36)*(t - 2)
What is o in -4*o**5 - 86*o**4 + 726*o**3 - 112*o**2 - 1592*o - 672 = 0?
-28, -1, -1/2, 2, 6
Determine o, given that -2*o**2/17 + 64*o/17 - 224/17 = 0.
4, 28
Factor t**2/5 - 1708*t/5 + 729316/5.
(t - 854)**2/5
Solve -168*q**5/17 - 562*q**4/17 - 154*q**3/17 + 66*q**2/17 + 18*q/17 = 0 for q.
-3, -3/7, -1/4, 0, 1/3
Factor -4*q**3/5 + 72*q**2/5 - 84*q + 160.
-4*(q - 8)*(q - 5)**2/5
Solve -8*t**3/3 - 76*t**2/3 + 79*t/6 - 5/3 = 0 for t.
-10, 1/4
Find f such that 10*f**5 - 35*f**4 - 60*f**3 + 155*f**2 + 50*f - 120 = 0.
-2, -1, 1, 3/2, 4
Solve 5*u**4 - 40*u**3 - 95*u**2 - 50*u = 0.
-1, 0, 10
Factor -f**2/8 + 13*f/4 - 25/8.
-(f - 25)*(f - 1)/8
What is f in f**3/5 - 17*f**2/5 + 6*f = 0?
0, 2, 15
Factor -2*g**3/3 - 350*g**2 - 45050*g + 702250/3.
-2*(g - 5)*(g + 265)**2/3
Factor q**2/7 + 4598*q/7 + 5285401/7.
(q + 2299)**2/7
Factor 5*b**3/3 + 115*b**2/3 - 40*b.
5*b*(b - 1)*(b + 24)/3
Factor -m**5/2 + 7*m**4/2 - 19*m**3/2 + 25*m**2/2 - 8*m + 2.
-(m - 2)**2*(m - 1)**3/2
Suppose 5*o**4/3 - 25*o**3/3 - 20*o**2/3 + 100*o/3 = 0. Calculate o.
-2, 0, 2, 5
What is m in 4*m**5/5 - 312*m**4/5 + 612*m**3/5 - 304*m**2/5 = 0?
0, 1, 76
Determine d so that 108*d**4/7 + 864*d**3/7 - 936*d**2/7 + 320*d/7 - 36/7 = 0.
-9, 1/3
Factor -r**5/3 - r**4 + 2*r**3 + 10*r**2/3 - 7*r + 3.
-(r - 1)**3*(r + 3)**2/3
Suppose -4665*v**4/7 + 25176*v**3/7 - 3987*v**2 + 7374*v/7 + 24/7 = 0. What is v?
-1/311, 2/5, 1, 4
Solve 2*b**4/17 - 10*b**3/17 - 14*b**2/17 + 82*b/17 - 60/17 = 0 for b.
-3, 1, 2, 5
Factor -2*t**4/17 + 368*t**3/17 + 742*t**2/17 + 372*t/17.
-2*t*(t - 186)*(t + 1)**2/17
Factor -3*z**2 - 21*z + 180.
-3*(z - 5)*(z + 12)
Let -2*m**4/11 - 1044*m**3/11 - 1042*m**2/11 = 0. What is m?
-521, -1, 0
Suppose 4*q**2 + 280*q + 804 = 0. What is q?
-67, -3
Factor -q**4/5 - 17*q**3/5 - 81*q**2/5 - 23*q - 10.
-(q + 1)**2*(q + 5)*(q + 10)/5
What is h in -2*h**4/3 - 32*h**3/3 - 106*h**2/3 - 124*h/3 - 16 = 0?
-12, -2, -1
Suppose -4*h**3 + 68*h**2 + 1192*h + 1120 = 0. What is h?
-10, -1, 28
Let 4*z**3 + 476*z**2 + 464*z - 944 = 0. Calculate z.
-118, -2, 1
Solve -3*c**2/2 + 54*c + 378 = 0 for c.
-6, 42
Factor z**3/3 + 3*z**2 - 22*z/3.
z*(z - 2)*(z + 11)/3
Let -4*l**4 + 148*l**3/7 - 152*l**2/7 + 32*l/7 = 0. What is l?
0, 2/7, 1, 4
Factor 2*l**2/3 + 1586*l.
2*l*(l + 2379)/3
Let 2*x**4 - 28*x**3 + 72*x**2 - 68*x + 22 = 0. Calculate x.
1, 11
Factor 4*t**4 - 28*t**3 - 32*t**2.
4*t**2*(t - 8)*(t + 1)
Determine g so that -2*g**2/5 - 9816*g/5 - 12044232/5 = 0.
-2454
Suppose 2*s**5 + 4*s**4 - 14*s**3 - 40*s**2 - 24*s = 0. Calculate s.
-2, -1, 0, 3
Factor -50*w**3 - 130*w**2/3 + 58*w/9 - 2/9.
-2*(w + 1)*(15*w - 1)**2/9
Factor 69*n**2 - 63*n - 6.
3*(n - 1)*(23*n + 2)
Determine r so that r**3/4 - 7*r**2/2 - 8*r = 0.
-2, 0, 16
Find w, given that w**4/3 - w**3 + w**2/3 + w - 2/3 = 0.
-1, 1, 2
Determine u so that 35*u**4 - 185*u**3 + 15*u**2 + 185*u - 50 = 0.
-1, 2/7, 1, 5
Find k such that 2*k**5/13 + 86*k**4/13 - 180*k**3/13 + 4*k**2/13 + 178*k/13 - 90/13 = 0.
-45, -1, 1
Factor 2*c**2/11 - 358*c/11.
2*c*(c - 179)/11
Solve -5*y**2 + 8460*y - 3578580 = 0 for y.
846
Factor 2*c**3 + 58*c**2 + 110*c + 54.
2*(c + 1)**2*(c + 27)
Find v such that 3*v**2/8 - 33*v/8 - 9/2 = 0.
-1, 12
Factor -2*j**2 - 4*j + 126.
-2*(j - 7)*(j + 9)
Factor 3*o**2 - 6*o - 105.
3*(o - 7)*(o + 5)
Let -5*k**5 + 50*k**4 - 160*k**3 + 190*k**2 - 75*k = 0. What is k?
0, 1, 3, 5
Factor u**2 + 44*u + 228.
(u + 6)*(u + 38)
Let -j**3/5 - 208*j**2 + 1041*j/5 = 0. What is j?
-1041, 0, 1
Factor -4*h**3 + 104*h**2 - 396*h - 504.
-4*(h - 21)*(h - 6)*(h + 1)
Find a, given that -5*a**5/3 + 518*a**4/3 - 13307*a**3/3 - 5926*a**2/3 + 13312*a/3 + 5408/3 = 0.
-1, -2/5, 1, 52
Factor -3*p**3/5 + 111*p**2/5 + 3*p/5 - 111/5.
-3*(p - 37)*(p - 1)*(p + 1)/5
Factor 8*d**4/11 - 3016*d**3/11 + 279698*d**2/11 + 859560*d/11 + 649800/11.
2*(d - 190)**2*(2*d + 3)**2/11
Factor 3*s**3 + 204*s**2 + 399*s + 198.
3*(s + 1)**2*(s + 66)
Factor 3*g**2/8 + 33*g/8 + 21/2.
3*(g + 4)*(g + 7)/8
Factor 2*r**2 - 38*r/3 - 28/3.
2*(r - 7)*(3*r + 2)/3
What is w in -w**5/3 - 8*w**4/3 - 4*w**3/3 + 58*w**2/3 + 5*w/3 - 50/3 = 0?
-5, -1, 1, 2
Factor l**5/8 - 3*l**4/8 + l**3/4.
l**3*(l - 2)*(l - 1)/8
Suppose w**5 + 12*w**4 + 20*w**3 = 0. What is w?
-10, -2, 0
Find y, given that 4*y**3 + 108*y**2 + 972*y + 2916 = 0.
-9
Determine f, given that f**5/7 + 43*f**4 + 22497*f**3/7 - 23405*f**2/7 - 45602*f/7 = 0.
-151, -1, 0, 2
Factor 4*m**4 - 20*m**3 - 32*m**2 + 192*m.
4*m*(m - 4)**2*(m + 3)
Determine m so that 4*m**4 + 48*m**3 + 44*m**2 = 0.
-11, -1, 0
Determine h, given that 2*h**2 + 84*h - 176 = 0.
-44, 2
Suppose -3*t**5 + 24*t**4 + 96*t**3 + 42*t**2 - 93*t - 66 = 0. Calculate t.
-2, -1, 1, 11
Factor -3*t**2/10 - t/5.
-t*(3*t + 2)/10
Factor 4*n**3 - 2404*n**2 + 359996*n + 362404.
4*(n - 301)**2*(n + 1)
Factor -z**2 + 2610*z - 1703025.
-(z - 1305)**2
Suppose 3*i**2 - 33*i + 72 = 0. What is i?
3, 8
Let 3*s**3/4 + 27*s**2 - 129*s/4 - 333/2 = 0. Calculate s.
-37, -2, 3
Find m such that 3*m**5 - 177*m**4/5 + 114*m**3/5 + 42*m**2 - 129*m/5 - 33/5 = 0.
-1, -1/5, 1, 11
Factor -3*l**3/4 - 1053*l**2/4 - 525*l/2.
-3*l*(l + 1)*(l + 350)/4
Determine l, given that -2*l**3/7 - 46*l**2 + 324*l/7 = 0.
-162, 0, 1
Factor c**3/3 + 14*c**2 + 27*c + 40/3.
(c + 1)**2*(c + 40)/3
Let -8*c**3/7 - 4*c**2/7 + 12*c/7 = 0. What is c?
-3/2, 0, 1
Factor -2*u**4/5 - 448*u**3/5 - 25088*u**2/5.
-2*u**2*(u + 112)**2/5
Suppose -x**5/4 + 37*x**4/4 - 35*x**3/2 - x**2/2 + 71*x/4 - 35/4 = 0. What is x?
-1, 1, 35
Let 3*n**2/4 - 299*n/4 + 99/2 = 0. What is n?
2/3, 99
Solve -3*y**4 - 21*y**3 - 12*y**2 + 36*y = 0 for y.
-6, -2, 0, 1
Factor 5*h**4 + 4900*h**3 + 1603920*h**2 + 176418160*h + 346459760.
5*(h + 2)*(h + 326)**3
Let -5*j**2 + 5*j + 60 = 0. Calculate j.
-3, 4
Factor -j**2/4 - 41*j/4 + 21/2.
-(j - 1)*(j + 42)/4
Det