t**3 - 4*t**2 - 24*t = 0 for t.
-2, -1, 0, 1, 3
Find n, given that 128*n**3 + 1020*n**2 - 2592*n + 80 = 0.
-10, 1/32, 2
Determine x so that x**4/6 + 16*x**3/3 + 311*x**2/6 + 434*x/3 + 98 = 0.
-14, -3, -1
Factor 2*d**3/7 - 18*d**2/7 + 52*d/7 - 48/7.
2*(d - 4)*(d - 3)*(d - 2)/7
Find u such that 105*u**2 - 3729*u - 1074 = 0.
-2/7, 179/5
Solve -5*v**2 - 835*v + 3420 = 0.
-171, 4
Suppose -3*p**4/4 - 207*p**3 - 28977*p**2/2 - 28359*p - 56307/4 = 0. What is p?
-137, -1
Factor 5*r**3 + 205*r**2 - 425*r + 215.
5*(r - 1)**2*(r + 43)
Factor 2*w**5 + 2*w**4 - 2*w**3 - 2*w**2.
2*w**2*(w - 1)*(w + 1)**2
Let 4*c**5 + 32*c**4 - 80*c**3 + 8*c**2 + 76*c - 40 = 0. What is c?
-10, -1, 1
Factor 18*q**4 + 203*q**3 - 154*q**2 + 24*q.
q*(q + 12)*(2*q - 1)*(9*q - 2)
Factor 12*x**3 + 452*x**2 + 296*x.
4*x*(x + 37)*(3*x + 2)
Determine x, given that -2*x**2/5 + 122*x/5 - 24 = 0.
1, 60
Determine j so that 5*j**2 - 45*j + 40 = 0.
1, 8
Factor 5*m**4 + 350*m**3 + 2280*m**2 + 4770*m + 2835.
5*(m + 1)*(m + 3)**2*(m + 63)
Determine y, given that -2*y**5/3 - 10*y**4/3 - 4*y**3 + 4*y**2/3 + 14*y/3 + 2 = 0.
-3, -1, 1
Let 50*h**5/11 - 516*h**4/11 + 1810*h**3/11 - 2528*h**2/11 + 1440*h/11 - 256/11 = 0. What is h?
8/25, 1, 4
Factor u**3 - 4454*u**2 + 4955072*u + 9927968.
(u - 2228)**2*(u + 2)
Factor -g**5/2 - 9*g**4/2 - 29*g**3/2 - 43*g**2/2 - 15*g - 4.
-(g + 1)**3*(g + 2)*(g + 4)/2
Let -90*p**3 + 48*p**2 - 32*p/5 = 0. Calculate p.
0, 4/15
Factor f**3 - 9*f**2 + 6*f + 16.
(f - 8)*(f - 2)*(f + 1)
Determine w so that -10*w**5 - 546*w**4 - 7590*w**3 - 3086*w**2 + 17064*w - 5832 = 0.
-27, -2, 2/5, 1
Factor 2*a**3/5 - 686*a**2/5 - 1378*a/5 - 138.
2*(a - 345)*(a + 1)**2/5
Factor 2*d**2/9 - 20*d/9.
2*d*(d - 10)/9
Find k, given that -k**3/2 - 3*k**2/2 + 29*k - 60 = 0.
-10, 3, 4
Find u such that -u**2/2 + 393*u/2 - 391 = 0.
2, 391
Suppose -2*d**3/21 - 10*d**2/21 + 128*d/21 + 40/3 = 0. What is d?
-10, -2, 7
Factor -3*w**4/2 - 96*w**3 - 1872*w**2 - 10752*w - 18816.
-3*(w + 4)**2*(w + 28)**2/2
Factor g**3/2 + 6*g**2 + 11*g/2.
g*(g + 1)*(g + 11)/2
Let a**5 - 25*a**4 - 30*a**3 + 100*a**2 + 104*a = 0. Calculate a.
-2, -1, 0, 2, 26
Find u, given that 6*u**3 + 69*u**2/2 + 93*u/2 + 18 = 0.
-4, -1, -3/4
Find c such that c**3/6 - 2*c**2 + 6*c = 0.
0, 6
Factor -4*l**2 - 64*l + 144.
-4*(l - 2)*(l + 18)
Factor 2*n**2 + 440*n + 24200.
2*(n + 110)**2
Suppose 9*p**3 - 42*p**2 - 69*p - 18 = 0. What is p?
-1, -1/3, 6
Factor m**2/4 - 16*m - 33.
(m - 66)*(m + 2)/4
Factor 3*f**4/5 - 54*f**3/5 + 36*f**2 - 168*f/5.
3*f*(f - 14)*(f - 2)**2/5
Suppose -l**5/5 + 8*l**4/5 - 21*l**3/5 + 22*l**2/5 - 8*l/5 = 0. Calculate l.
0, 1, 2, 4
Factor 3*p**3/2 + 195*p**2/2 + 279*p.
3*p*(p + 3)*(p + 62)/2
Factor 2*h**2/13 + 12*h/13 + 18/13.
2*(h + 3)**2/13
Determine o, given that 3*o**2/5 + 33*o/5 + 6 = 0.
-10, -1
Let 6*m**5/5 + 84*m**4/5 + 354*m**3/5 + 348*m**2/5 - 72*m - 432/5 = 0. What is m?
-6, -2, -1, 1
Find x such that -9*x**5 + 3*x**4/2 + 105*x**3/2 + 129*x**2/2 + 45*x/2 = 0.
-1, -5/6, 0, 3
Factor -14*v**2/17 - 246*v/17 - 8.
-2*(v + 17)*(7*v + 4)/17
Factor -12*d**3 - 6208*d**2 - 800828*d + 536648.
-4*(d + 259)**2*(3*d - 2)
Suppose q**5 + 4*q**4 - 10*q**3 - 28*q**2 - 15*q = 0. What is q?
-5, -1, 0, 3
Factor 5*y**2 - 15*y - 20.
5*(y - 4)*(y + 1)
Suppose 4*d**3 + 4*d**2 - 356*d + 924 = 0. Calculate d.
-11, 3, 7
Determine g, given that -18*g**4 + 375*g**3 + 1776*g**2 + 2433*g + 1050 = 0.
-2, -7/6, -1, 25
Solve 8*d**5/5 - 122*d**4/5 + 334*d**3/5 - 268*d**2/5 + 48*d/5 = 0 for d.
0, 1/4, 1, 2, 12
Factor -2*o**5 + 10*o**4 - 12*o**3.
-2*o**3*(o - 3)*(o - 2)
Factor 6*d**4 - 52*d**3 + 90*d**2 + 36*d.
2*d*(d - 6)*(d - 3)*(3*d + 1)
Solve -3*t**5 + 21*t**4 + 3*t**3 - 21*t**2 = 0 for t.
-1, 0, 1, 7
Factor -4*y**2/7 - 236*y/7 - 96.
-4*(y + 3)*(y + 56)/7
Factor 4*s**4 - 100*s**3 - 4*s**2 + 100*s.
4*s*(s - 25)*(s - 1)*(s + 1)
Factor 6*b**2 - 68*b + 112.
2*(b - 2)*(3*b - 28)
Factor 2*g**4 + 146*g**3 + 680*g**2.
2*g**2*(g + 5)*(g + 68)
Solve 3*x**5/4 - 15*x**4/4 + 27*x**3/4 - 21*x**2/4 + 3*x/2 = 0 for x.
0, 1, 2
Let -o**4 + 2*o**2 - 1 = 0. Calculate o.
-1, 1
Find o such that 2*o**3 + 12*o**2 - 2*o - 12 = 0.
-6, -1, 1
Factor -4*d**2/7 - 7704*d/7 - 3709476/7.
-4*(d + 963)**2/7
Find o such that 8*o**5/19 - 70*o**4/19 + 70*o**3/19 + 10*o**2 + 42*o/19 = 0.
-1, -1/4, 0, 3, 7
Factor c**4/5 + 5*c**3 + 69*c**2/5 + 67*c/5 + 22/5.
(c + 1)**3*(c + 22)/5
Find p such that -3*p**4 + 132*p**3 - 1113*p**2 + 732*p + 1980 = 0.
-1, 2, 10, 33
Solve -2*r**3/5 + 2*r**2/5 + 8*r/5 - 8/5 = 0 for r.
-2, 1, 2
Solve p**3/3 - 107*p**2/3 + 936*p + 972 = 0.
-1, 54
Factor -2*z**4 + 4*z**3 + 6*z**2.
-2*z**2*(z - 3)*(z + 1)
Let k**5/7 + 4*k**4/7 - k**3/7 - 4*k**2/7 = 0. What is k?
-4, -1, 0, 1
Find i such that 3*i**3/4 + 9*i**2/2 + 33*i/4 + 9/2 = 0.
-3, -2, -1
Factor p**2/6 + 5*p/6 - 25/3.
(p - 5)*(p + 10)/6
Find w such that -3*w**5 - 39*w**4 - 105*w**3 + 39*w**2 + 108*w = 0.
-9, -4, -1, 0, 1
Determine o so that o**3/4 - 20*o**2 + 148*o - 288 = 0.
4, 72
Factor 4*s**3 - 72*s**2 - 156*s - 80.
4*(s - 20)*(s + 1)**2
Suppose 64*d**2/3 - 224*d/3 + 196/3 = 0. Calculate d.
7/4
Solve -m**3/11 - 138*m**2/11 - 137*m/11 = 0.
-137, -1, 0
Determine o so that -4*o**5 + 44*o**4 - 160*o**3 + 176*o**2 + 128*o - 256 = 0.
-1, 2, 4
Solve l**4/5 + 346*l**3/5 + 30612*l**2/5 + 23598*l + 87723/5 = 0.
-171, -3, -1
Find b such that -4*b**2 + 64*b + 68 = 0.
-1, 17
Factor -3*p**2 + 123*p + 258.
-3*(p - 43)*(p + 2)
Suppose 405*x**5 + 180*x**4 - 2815*x**3 + 1170*x**2 + 940*x + 120 = 0. Calculate x.
-3, -2/9, 1, 2
Factor 3*y**3 - 303*y**2 + 7497*y + 7803.
3*(y - 51)**2*(y + 1)
Solve -3*q**5 + 36*q**4 - 12*q**3 - 576*q**2 - 768*q = 0.
-2, 0, 8
Solve 45*z**5 + 132*z**4 - 15*z**3 - 198*z**2 + 12*z + 24 = 0.
-2, -1/3, 2/5, 1
Let 4*l**2 - 1988*l - 1992 = 0. What is l?
-1, 498
Factor a**2 + 1802*a + 811801.
(a + 901)**2
Determine b, given that -2*b**5/9 - 100*b**4/9 + 328*b**3/9 + 524*b**2/9 - 326*b/9 - 424/9 = 0.
-53, -1, 1, 4
Let 2*k**5/3 + 88*k**4/3 - 62*k**3 - 88*k**2/3 + 184*k/3 = 0. Calculate k.
-46, -1, 0, 1, 2
Solve -j**3/10 + j**2/2 - 7*j/10 + 3/10 = 0.
1, 3
Find n such that 8*n**4/9 - 254*n**3/9 + 424*n**2/9 - 118*n/9 - 20/3 = 0.
-1/4, 1, 30
Factor 3*u**2 + 594*u + 29403.
3*(u + 99)**2
Factor 2*b**4 - 392*b**3 - 6*b**2 + 1180*b - 784.
2*(b - 196)*(b - 1)**2*(b + 2)
Suppose 5*q**5 + 10*q**4 - 20*q**3 - 10*q**2 + 15*q = 0. Calculate q.
-3, -1, 0, 1
Factor -2*p**3 - 6496*p**2 - 5274752*p.
-2*p*(p + 1624)**2
Factor 2*a**4/15 + 1196*a**3/15 + 398*a**2/5.
2*a**2*(a + 1)*(a + 597)/15
Factor 2*b**2/5 - 126*b/5.
2*b*(b - 63)/5
Find t such that -5*t**2 - 1430*t - 8400 = 0.
-280, -6
Suppose 34*v**5/7 - 82*v**4 + 2992*v**3/7 - 3312*v**2/7 - 7776*v/7 - 864/7 = 0. What is v?
-1, -2/17, 6
Let 3*c**3/5 - 36*c**2/5 - 309*c/5 - 54 = 0. Calculate c.
-5, -1, 18
Solve -3*k**5/2 - 6*k**4 + 9*k**3 + 54*k**2 + 81*k/2 = 0 for k.
-3, -1, 0, 3
Let -12*f**3 + 133*f**2 - 299*f + 24 = 0. Calculate f.
1/12, 3, 8
Find c, given that 3*c**5 - 33*c**4 + 114*c**3 - 156*c**2 + 72*c = 0.
0, 1, 2, 6
Suppose -3*a**2/7 + 171*a - 1194/7 = 0. What is a?
1, 398
Factor -3*l**2 + 7746*l - 7743.
-3*(l - 2581)*(l - 1)
Let -2*t**5/3 - 676*t**4/3 - 56440*t**3/3 + 115600*t**2/3 = 0. What is t?
-170, 0, 2
Factor a**2/5 - 81*a/5 + 16.
(a - 80)*(a - 1)/5
Solve 1922*g**2/19 - 620*g/19 + 50/19 = 0 for g.
5/31
Factor -8*x**2/3 + 10174*x/3 + 848.
-2*(x - 1272)*(4*x + 1)/3
Factor -2*n**3 + 38*n**2 + 400*n + 864.
-2*(n - 27)*(n + 4)**2
Find f such that f**5/6 + 29*f**4/6 + 65*f**3/2 - 75*f**2/2 = 0.
-15, 0, 1
Factor 3*g**3/2 - 1011*g**2 - 4053*g/2 - 1014.
3*(g - 676)*(g + 1)**2/2
Let -7*i**4/3 + 10*i**3 - 43*i**2/3 + 8*i - 4/3 = 0. What is i?
2/7, 1, 2
Solve -i**4 + 4*i**3 - 3*i**2 - 4*i + 4 = 0 for i.
-1, 1, 2
Suppose 535*s**4 - 1615*s**3 - 505*s**2 + 1615*s - 30 = 0. What is s?
-1, 2/107, 1, 3
Factor -5*c**2 - 45*c.
-5*c*(c + 9)
Factor 2*h**2/9 - 5348*h/9 + 3575138/9.
2*(h - 1337)**2/9
Factor 2*u**2 - 24*u.
2*u*(u - 12)
Solve 2*b**2/5 - 14*b/5 = 0.
0, 7
Factor w**4/3 + w**3 + w**2/3 - w - 2/3.
(w - 1)*(w + 1)**2*(w + 2)/3
Find x, given that x**3/4 + 12*x**2 - x/4 - 12 = 0.
-48, -1, 1
Let -35*f**5 - 1725*f**4 - 455*f**3 + 1725*f**2 + 490*f = 0. What is f?
-49, -1, -2/7, 0, 1
Let 2*s**5/11 - 30*s**4/11 + 124*s**3/11 - 96*s**2/11 = 0. What is s?
0, 1, 6, 8
Find y 