*4 - 592*o**3 + 312*o**2 + 1044*o = 0.
-1, 0, 3, 29
Factor 169*q**5/4 + 117*q**4/4 - 12*q**3 + q**2.
q**2*(q + 1)*(13*q - 2)**2/4
Factor -3*w**2/4 - 27*w/4 - 6.
-3*(w + 1)*(w + 8)/4
Factor 2*r**4 + 112*r**3 + 702*r**2 - 26248*r + 25432.
2*(r - 11)*(r - 1)*(r + 34)**2
Factor 3*c**3/2 + 141*c**2 + 825*c/2 + 273.
3*(c + 1)*(c + 2)*(c + 91)/2
Factor -2*a**5/9 + 2*a**4/9 + 4*a**3/9.
-2*a**3*(a - 2)*(a + 1)/9
Factor 363*l**3 + 3333*l**2 + 5712*l - 9408.
3*(l - 1)*(11*l + 56)**2
Determine j so that 14*j**4/15 + 106*j**3/5 + 382*j**2/3 + 374*j/5 - 484/15 = 0.
-11, -1, 2/7
Factor 2*a**2 + 426*a - 428.
2*(a - 1)*(a + 214)
Factor 3*p**4/7 + 15*p**3/7 + 3*p**2/7 - 9*p - 54/7.
3*(p - 2)*(p + 1)*(p + 3)**2/7
Factor -4*c**3 - 52*c**2 + 4*c + 52.
-4*(c - 1)*(c + 1)*(c + 13)
Factor 4*o**4 + 1740*o**3 - 4*o**2 - 1740*o.
4*o*(o - 1)*(o + 1)*(o + 435)
Solve 2*c**2/13 - 844*c/13 + 89042/13 = 0.
211
Factor 4*l**5 - 10*l**4 + 8*l**3 - 2*l**2.
2*l**2*(l - 1)**2*(2*l - 1)
Let -y**3/7 + 32*y**2/7 - 60*y/7 = 0. What is y?
0, 2, 30
Solve 54*z**4 - 288*z**3 + 576*z**2 - 512*z + 512/3 = 0 for z.
4/3
Factor -q**5/6 + 23*q**4/6 + 11*q**3/2 - 227*q**2/6 + 134*q/3 - 16.
-(q - 24)*(q - 1)**3*(q + 4)/6
Determine k so that 2*k**3/9 - 28*k**2/9 + 32*k/3 = 0.
0, 6, 8
Factor 2*n**3 + 31*n**2/3 + 28*n/3.
n*(n + 4)*(6*n + 7)/3
Suppose 2*v**2/5 + 1556*v/5 = 0. What is v?
-778, 0
Determine i, given that 2*i**5/9 + 2*i**4/3 - 4*i**3/3 - 56*i**2/9 - 16*i/3 = 0.
-2, 0, 3
Factor -3*d**4/5 + 15*d**3 - 141*d**2/5 + 69*d/5.
-3*d*(d - 23)*(d - 1)**2/5
Determine g so that 4*g**3/3 + 232*g**2/3 + 1260*g + 3888 = 0.
-27, -4
Find g such that g**3/4 - 25*g**2/4 - 113*g/4 - 87/4 = 0.
-3, -1, 29
Solve -4*j**3 - 48*j**2 + 4*j + 48 = 0.
-12, -1, 1
Suppose 7*u**4/2 - 33*u**3/2 - 26*u**2 - 6*u = 0. What is u?
-1, -2/7, 0, 6
Factor 5*p**3/4 - 305*p**2/4 + 75*p.
5*p*(p - 60)*(p - 1)/4
Find t such that -5*t**5 + 30*t**4 + 20*t**3 - 450*t**2 + 945*t - 540 = 0.
-4, 1, 3
Find s such that -4*s**2 - 112*s + 116 = 0.
-29, 1
Factor -2*p**3/13 + 6964*p**2/13 + 13934*p/13 + 536.
-2*(p - 3484)*(p + 1)**2/13
Let 35*b**5 + 750*b**4 + 2800*b**3 + 2850*b**2 + 765*b = 0. Calculate b.
-17, -3, -1, -3/7, 0
Determine s, given that s**5/6 - 7*s**4/3 + 5*s**3/3 + 20*s**2/3 - 11*s/6 - 13/3 = 0.
-1, 1, 2, 13
Solve p**3/6 - p**2/6 - p/3 = 0 for p.
-1, 0, 2
Determine f so that -21*f**4 - 108*f**3 + 909*f**2 - 1128*f - 180 = 0.
-10, -1/7, 2, 3
Factor 23*p**2/3 - 1195*p/3 - 52/3.
(p - 52)*(23*p + 1)/3
Determine i, given that 16*i**5 - 28*i**4 - 72*i**3 + 112*i**2 + 32*i = 0.
-2, -1/4, 0, 2
Factor -2*o**4 + 10*o**3 + 44*o**2 - 232*o + 240.
-2*(o - 6)*(o - 2)**2*(o + 5)
Solve -i**2/6 - 203*i/6 - 965/3 = 0.
-193, -10
Factor l**3 + 43*l**2 + 483*l + 441.
(l + 1)*(l + 21)**2
Solve -8*o**5/3 - 4692*o**4 - 5508403*o**3/2 - 1622210615*o**2/3 - 806465506*o - 301845084 = 0 for o.
-586, -3/4
Let 2*c**2 - 136*c - 426 = 0. What is c?
-3, 71
Factor -3*l**4 + 90*l**3 - 468*l**2 + 888*l - 576.
-3*(l - 24)*(l - 2)**3
Factor -2*y**2/5 + 82*y/5 + 84/5.
-2*(y - 42)*(y + 1)/5
Determine x so that -57*x**2/2 - 1647*x/2 + 87 = 0.
-29, 2/19
Let -14*f**4/9 + 220*f**3/9 + 554*f**2/9 + 392*f/9 + 8 = 0. What is f?
-1, -2/7, 18
Solve -5*o**4/2 - 6*o**3 + 31*o**2/2 - 3*o - 4 = 0.
-4, -2/5, 1
Solve -5*m**2 - 690*m - 23805 = 0.
-69
Suppose -2*f**4/5 - 28*f**3/5 - 10*f**2 - 24*f/5 = 0. Calculate f.
-12, -1, 0
Find r, given that r**5 - 82*r**4 - r**3 + 82*r**2 = 0.
-1, 0, 1, 82
Determine i so that -i**3/2 + 1457*i**2/2 + 2917*i/2 + 1459/2 = 0.
-1, 1459
Factor -k**2/2 - 47*k/2.
-k*(k + 47)/2
Determine q so that -18*q**4 - 90346*q**3 - 151162242*q**2 - 84320535054*q - 18730432868 = 0.
-1673, -2/9
Factor -l**2/3 - 176*l/3 - 7744/3.
-(l + 88)**2/3
Factor r**3 - 27*r**2 - 30*r + 56.
(r - 28)*(r - 1)*(r + 2)
Factor 4*v**3/3 - 392*v**2/3 - 404*v/3 + 264.
4*(v - 99)*(v - 1)*(v + 2)/3
Determine o, given that 3*o**3 - 63*o**2 - 72*o + 132 = 0.
-2, 1, 22
Factor -r**3/9 + 181*r**2/9 - 20*r.
-r*(r - 180)*(r - 1)/9
Factor -3*y**3/7 + 60*y**2/7 - 348*y/7 + 480/7.
-3*(y - 10)*(y - 8)*(y - 2)/7
Suppose 42*r**3 + 6471*r**2 - 6036*r + 1395 = 0. What is r?
-155, 3/7, 1/2
What is z in -2*z**5/19 - 10*z**4/19 + 16*z**3/19 + 24*z**2/19 = 0?
-6, -1, 0, 2
Solve -33*a**4 + 96*a**3 - 57*a**2 - 6*a = 0.
-1/11, 0, 1, 2
Suppose -4*c**3 + 292*c**2 - 288*c = 0. Calculate c.
0, 1, 72
Solve -3*r**5 - 15*r**4 + 39*r**3 + 87*r**2 - 216*r + 108 = 0 for r.
-6, -3, 1, 2
Factor 5*z**2 - 4380*z + 959220.
5*(z - 438)**2
Factor 3*w**3 - 24*w**2 + 45*w.
3*w*(w - 5)*(w - 3)
Suppose -14*t**4 + 60*t**3 - 86*t**2 + 48*t - 8 = 0. What is t?
2/7, 1, 2
Factor -4*v**3/3 - 1820*v**2 - 828100*v - 376785500/3.
-4*(v + 455)**3/3
What is t in 32*t**3 - 232*t**2 + 448*t - 98 = 0?
1/4, 7/2
Find d such that -2*d**4 - 46*d**3 + 18*d**2 + 414*d = 0.
-23, -3, 0, 3
Determine k, given that 4*k**5 - 12*k**4 - 35*k**3 - 24*k**2 - 5*k = 0.
-1, -1/2, 0, 5
Factor z**3/5 - 2*z**2 + 9*z/5.
z*(z - 9)*(z - 1)/5
Find s, given that 14*s**2/3 - 18*s + 12 = 0.
6/7, 3
Factor -z**2/4 - 2*z - 4.
-(z + 4)**2/4
Factor 4*u**3 + 21*u**2 + 36*u + 20.
(u + 2)**2*(4*u + 5)
Determine b, given that -70*b**3 - 72*b**2 + 138*b + 4 = 0.
-2, -1/35, 1
Find k, given that k**3/2 + 5*k**2/2 - k - 12 = 0.
-4, -3, 2
Find x such that -x**2 + 2*x + 15 = 0.
-3, 5
Solve -3*t**3 - 171*t**2 - 333*t - 165 = 0.
-55, -1
Factor u**5/3 + 29*u**4/3 + 65*u**3 - 75*u**2.
u**2*(u - 1)*(u + 15)**2/3
Suppose v**4/3 + 11*v**3/3 - 4*v**2/3 - 44*v/3 = 0. Calculate v.
-11, -2, 0, 2
Factor -2*b**2 + 258*b - 3616.
-2*(b - 113)*(b - 16)
Factor -x**4/9 + 5*x**3/9.
-x**3*(x - 5)/9
Let -2*d**4/23 + 18*d**3/23 - 34*d**2/23 - 66*d/23 + 180/23 = 0. What is d?
-2, 3, 5
Factor -25*z**4/2 - 145*z**3/2 - 52*z**2 - 10*z.
-z*(z + 5)*(5*z + 2)**2/2
Factor a**5 + 21*a**4 - 150*a**3 + 314*a**2 - 267*a + 81.
(a - 3)*(a - 1)**3*(a + 27)
Solve 3*y**4/7 + 129*y**3/7 + 99*y**2 + 1011*y/7 + 444/7 = 0.
-37, -4, -1
Factor -5*t**4 - 55*t**3 - 120*t**2 + 180*t.
-5*t*(t - 1)*(t + 6)**2
Find i such that 4*i**5 - 24*i**3 - 32*i**2 - 12*i = 0.
-1, 0, 3
Suppose -9*b**3 - 114*b**2 + 164*b - 56 = 0. What is b?
-14, 2/3
Solve -2*t**4/19 + 4*t**3/19 + 2*t**2 - 40*t/19 = 0 for t.
-4, 0, 1, 5
Solve 27*t**3/2 + 3*t**2/4 - t/2 = 0 for t.
-2/9, 0, 1/6
Determine a so that 2*a**3/15 + 2534*a**2/15 = 0.
-1267, 0
Let 2*c**4/3 + 2*c**3/3 - 8*c**2/3 - 8*c/3 = 0. What is c?
-2, -1, 0, 2
Factor u**2 - 40*u + 39.
(u - 39)*(u - 1)
Suppose k**5 + 103*k**4 + 2802*k**3 + 7700*k**2 + 5000*k = 0. Calculate k.
-50, -2, -1, 0
Determine k so that -4*k**2 + 20*k - 16 = 0.
1, 4
Find i such that -i**4/4 + i**3/2 + 3*i**2/4 = 0.
-1, 0, 3
Determine z, given that -4*z**3/3 + 8*z**2 - 44*z/3 + 8 = 0.
1, 2, 3
Factor 2*o**2 - 136*o - 576.
2*(o - 72)*(o + 4)
What is a in -16*a**4 + 28*a**3 + 56*a**2 + 12*a = 0?
-1, -1/4, 0, 3
Factor 2*g**2/11 + 1084*g/11 + 6432/11.
2*(g + 6)*(g + 536)/11
Suppose q**2/7 + 5*q - 156/7 = 0. What is q?
-39, 4
Factor -4*c**4/5 + 1424*c**3/5 - 129552*c**2/5 + 501248*c/5 - 495616/5.
-4*(c - 176)**2*(c - 2)**2/5
Factor 4*i**4 - 5*i**3 - 23*i**2 + 6*i.
i*(i - 3)*(i + 2)*(4*i - 1)
Suppose -z**4/2 + 32*z**3 - 599*z**2 + 2784*z - 7569/2 = 0. What is z?
3, 29
Let -9*p**4/2 + 147*p**3/2 + 831*p**2/2 + 1053*p/2 + 189 = 0. What is p?
-3, -1, -2/3, 21
Factor -2*q**4 + 46*q**3 - 306*q**2 + 810*q - 756.
-2*(q - 14)*(q - 3)**3
Factor -5*c**2 + 20.
-5*(c - 2)*(c + 2)
Factor 5*v**2 + 45*v + 70.
5*(v + 2)*(v + 7)
Factor 2*a**3/7 - 880*a**2/7 + 97674*a/7 - 191844/7.
2*(a - 219)**2*(a - 2)/7
Suppose 4*j**4/3 - 1780*j**3/3 + 193516*j**2/3 + 335100*j + 270000 = 0. What is j?
-4, -1, 225
Factor -5*k**2 + 120*k + 405.
-5*(k - 27)*(k + 3)
Factor -a**2/4 + 9*a/2.
-a*(a - 18)/4
Let -5*j**2 - 60*j + 945 = 0. What is j?
-21, 9
Factor -361*w**3 + 380*w**2 - 100*w.
-w*(19*w - 10)**2
Factor 840*g**4 - 843*g**3 + 3*g**2.
3*g**2*(g - 1)*(280*g - 1)
Find y such that -y**5/5 + 7*y**4/5 - 2*y**3 = 0.
0, 2, 5
Factor 2*u**2/5 - 498*u/5 - 100.
2*(u - 250)*(u + 1)/5
Determine x, given that 10*x**2 - 216*x + 126 = 0.
3/5, 21
Let -2*m**3/19 + 10*m**2/19 + 34*m/19 - 42/19 = 0. Calculate m.
-3, 1, 7
What is h in -5*h**2 - 275*h - 270 = 0?
-54, -1
Find r, given that -2*r**5 + 34*r**3 - 72*r**2 + 40*r = 0.
-5, 0, 1, 2
Factor -72*o**3 + 1776*o**2 + 598*o + 50.
-2*(o - 