0896*q**2 - 20736*q = 0.
-1, 0, 72
Factor -5*s**3 + 85*s**2 - 155*s + 75.
-5*(s - 15)*(s - 1)**2
Factor 3*k**5/5 - 12*k**4/5 + 12*k**3/5.
3*k**3*(k - 2)**2/5
Find a such that -3*a**2/8 - 51*a/8 + 207/4 = 0.
-23, 6
Factor 2*m**3/5 - 8*m**2/5 - 8*m + 96/5.
2*(m - 6)*(m - 2)*(m + 4)/5
Let -3*h**4 - 24*h**3 - 51*h**2 + 6*h + 72 = 0. What is h?
-4, -3, -2, 1
Factor -3*b**4 + 336*b**3 - 4005*b**2 + 14364*b - 10692.
-3*(b - 99)*(b - 6)**2*(b - 1)
Suppose 5*v**4 - 20*v**3 + 15*v**2 = 0. Calculate v.
0, 1, 3
Let -3*h**5 + 222*h**4 + 228*h**3 - 222*h**2 - 225*h = 0. Calculate h.
-1, 0, 1, 75
What is r in -2*r**5/7 + 6*r**4/7 + 34*r**3/7 + 18*r**2/7 - 32*r/7 - 24/7 = 0?
-2, -1, 1, 6
Factor -2*x**4/11 + 6*x**3/11 + 48*x**2/11 + 56*x/11.
-2*x*(x - 7)*(x + 2)**2/11
Let 2*y**4/7 - 12*y**3/7 + 26*y**2/7 - 24*y/7 + 8/7 = 0. What is y?
1, 2
Factor v**4 - 93*v**3 + 2115*v**2 + 2209*v.
v*(v - 47)**2*(v + 1)
Factor -3*l**2 + 111*l - 696.
-3*(l - 29)*(l - 8)
Suppose 12*g**3 - 176*g**2 - 468*g - 136 = 0. Calculate g.
-2, -1/3, 17
Determine p, given that 20*p**4 - 275*p**3 + 350*p**2 + 825*p + 180 = 0.
-1, -1/4, 3, 12
Suppose y**3/5 - 7*y**2/5 + 4*y/5 + 12/5 = 0. Calculate y.
-1, 2, 6
Suppose -4*p**2 + 396*p + 808 = 0. Calculate p.
-2, 101
Factor 2*c**2/7 + 60*c + 832/7.
2*(c + 2)*(c + 208)/7
Determine m so that -2*m**5/13 + 20*m**4/13 - 58*m**3/13 + 64*m**2/13 - 24*m/13 = 0.
0, 1, 2, 6
Determine i so that -i**5 - 6*i**4/5 + 14*i**3/5 + 8*i**2/5 - 9*i/5 - 2/5 = 0.
-2, -1, -1/5, 1
Factor 5*y**3 - 80*y**2 + 385*y - 490.
5*(y - 7)**2*(y - 2)
Factor -c**2/2 + 24*c + 50.
-(c - 50)*(c + 2)/2
Factor -2*i**3/3 + 212*i**2/3 - 70*i.
-2*i*(i - 105)*(i - 1)/3
Determine w so that -2*w**3 - 6*w**2 + 36*w = 0.
-6, 0, 3
Factor -v**2 - 11*v/4 - 3/2.
-(v + 2)*(4*v + 3)/4
Factor 2*z**4/7 - 8*z**3 - 118*z**2/7 - 60*z/7.
2*z*(z - 30)*(z + 1)**2/7
Let -3*l**4 + 15*l**2 - 12 = 0. What is l?
-2, -1, 1, 2
Determine n so that -20*n**5 + 8*n**4 + 380*n**3 - 272*n**2 - 1392*n + 576 = 0.
-4, -2, 2/5, 3
Factor -5*o**4 + 170*o**3 + 1275*o**2 - 3040*o + 1600.
-5*(o - 40)*(o - 1)**2*(o + 8)
Solve 3*u**3/8 - 9*u**2/2 + 27*u/8 + 33/4 = 0.
-1, 2, 11
Solve -4*i**2 + 72*i - 288 = 0 for i.
6, 12
Factor -5*a**3 + 130*a**2 - 700*a - 1960.
-5*(a - 14)**2*(a + 2)
Factor 178*y**3/11 - 1088*y**2/11 + 1722*y/11 - 180/11.
2*(y - 3)**2*(89*y - 10)/11
Find b, given that -2*b**5 - 58*b**4 + 410*b**3 - 350*b**2 = 0.
-35, 0, 1, 5
Factor -3*f**4/4 + 33*f**3/4 - 105*f**2/4 + 75*f/4.
-3*f*(f - 5)**2*(f - 1)/4
Solve -20*b**3 + 5*b**2 = 0 for b.
0, 1/4
Let -3*z**3/4 - 15*z**2/4 + 9*z/2 = 0. Calculate z.
-6, 0, 1
Factor -2*o**3 - 16*o**2 + 70*o + 588.
-2*(o - 6)*(o + 7)**2
Factor -2*m**4 - 14*m**3 - 28*m**2 - 16*m.
-2*m*(m + 1)*(m + 2)*(m + 4)
Factor -4*l**3/3 + 60*l**2 + 1192*l/3 + 544.
-4*(l - 51)*(l + 2)*(l + 4)/3
Factor -5*i**2 - 1695*i.
-5*i*(i + 339)
Factor -h**3/2 + 131*h**2/6 - 1265*h/6 - 3703/6.
-(h - 23)**2*(3*h + 7)/6
Find p, given that -5*p**5/4 - 10*p**4 - 105*p**3/4 - 55*p**2/2 - 10*p = 0.
-4, -2, -1, 0
Suppose c**5 - 3*c**4/2 - 7*c**3/2 + 6*c**2 - 2*c = 0. What is c?
-2, 0, 1/2, 1, 2
Let -32*v**5 + 200*v**4 - 140*v**3 - 320*v**2 + 92*v + 40 = 0. Calculate v.
-1, -1/4, 1/2, 2, 5
Let h**3/5 - 3*h**2/5 + 2*h/5 = 0. Calculate h.
0, 1, 2
Factor a**3/4 + 5*a**2 - 43*a/4 + 11/2.
(a - 1)**2*(a + 22)/4
Let n**4 + 3114*n**3 + 9336*n**2 + 9334*n + 3111 = 0. Calculate n.
-3111, -1
Let 2*r**5/5 - 8*r**4/5 - 14*r**3 + 452*r**2/5 - 872*r/5 + 112 = 0. Calculate r.
-7, 2, 5
Find k, given that -k**2/6 - 219*k - 143883/2 = 0.
-657
What is i in i**2 - 5982*i + 8946081 = 0?
2991
Factor 392*k**2/3 - 280*k/3 + 50/3.
2*(14*k - 5)**2/3
Factor -405*v**2 - 900*v - 500.
-5*(9*v + 10)**2
Find h such that 10*h**5 - 1645*h**4 + 64655*h**3 + 251140*h**2 - 173040*h - 141120 = 0.
-4, -1/2, 1, 84
Find h such that -2*h**2 + 290*h = 0.
0, 145
Let -45*x**5 - 6*x**4 + 135*x**3 - 72*x**2 - 12*x = 0. What is x?
-2, -2/15, 0, 1
What is q in 2*q**3/3 - 326*q/3 - 308 = 0?
-11, -3, 14
Solve 7*u**2 + 40*u - 12 = 0.
-6, 2/7
Find h such that -2*h**5/3 + 14*h**4/3 - 10*h**3 + 6*h**2 = 0.
0, 1, 3
Solve u**3/6 + 53*u**2/6 + 364*u/3 + 338/3 = 0 for u.
-26, -1
Factor 3*r**5 - 21*r**4 + 51*r**3 - 51*r**2 + 18*r.
3*r*(r - 3)*(r - 2)*(r - 1)**2
Suppose -2*r**3 - 16*r**2 - 40*r - 32 = 0. What is r?
-4, -2
Determine m, given that -30*m**2 + 25*m + 5 = 0.
-1/6, 1
Determine p, given that p**2/2 - 5117*p + 26183689/2 = 0.
5117
Factor s**4/4 - s**3 + s**2/2 + s - 3/4.
(s - 3)*(s - 1)**2*(s + 1)/4
Find s such that -3*s**5 + 15*s**3 - 12*s = 0.
-2, -1, 0, 1, 2
Suppose -c**5/6 + 13*c**4/3 - 88*c**3/3 + 128*c**2/3 = 0. What is c?
0, 2, 8, 16
Factor 5*p**3 - 10*p**2 + 5*p.
5*p*(p - 1)**2
Factor 2*x**5/7 - 2*x**4/7 - 12*x**3/7 + 4*x**2 - 22*x/7 + 6/7.
2*(x - 1)**4*(x + 3)/7
Factor 3*a**3 - 30*a**2 + 27*a.
3*a*(a - 9)*(a - 1)
Suppose -5*c**4/9 + 92*c**3/9 - 343*c**2/9 - 740*c/9 - 100/3 = 0. What is c?
-1, -3/5, 10
Factor -5*t**2 - 365*t.
-5*t*(t + 73)
Factor -2*l**5/9 + 16*l**4/3 - 86*l**3/3 - 1060*l**2/9 + 2200*l/3 + 2000.
-2*(l - 10)**3*(l + 3)**2/9
Suppose 10*u**5/3 - 24*u**4 + 154*u**3/3 - 36*u**2 + 16*u/3 = 0. What is u?
0, 1/5, 1, 2, 4
Solve 8*l**5 + 52*l**4 + 20*l**3 - 24*l**2 = 0 for l.
-6, -1, 0, 1/2
Let 5*i**3 - 50*i**2 - 115*i - 60 = 0. What is i?
-1, 12
What is s in 3*s**5/4 - 3*s**4/2 - 3*s**3/4 + 3*s**2/2 = 0?
-1, 0, 1, 2
Factor -2*d**4/5 - 496*d**3/5 - 46128*d**2/5 - 1906624*d/5 - 29552672/5.
-2*(d + 62)**4/5
Let 2*o**2 - 58*o = 0. What is o?
0, 29
Factor 3*q**5/4 - 561*q**4.
3*q**4*(q - 748)/4
What is l in -l**3 + 2*l**2 + 7*l + 4 = 0?
-1, 4
Factor c**3/5 + 213*c**2 + 75615*c + 8947775.
(c + 355)**3/5
Factor -2*d**2/3 + 16*d - 160/3.
-2*(d - 20)*(d - 4)/3
Factor -5*j**4 - 430*j**3 - 10445*j**2 - 51600*j - 72000.
-5*(j + 3)**2*(j + 40)**2
Factor r**4/2 + 45*r**3 + 349*r**2/2 + 216*r + 86.
(r + 1)**2*(r + 2)*(r + 86)/2
Factor 6*g**3/7 - 24*g**2/7 - 120*g/7 + 288/7.
6*(g - 6)*(g - 2)*(g + 4)/7
Let -2*x**5/17 - 24*x**4/17 - 90*x**3/17 - 116*x**2/17 - 48*x/17 = 0. What is x?
-6, -4, -1, 0
Factor -3*q**2 + 150*q - 1875.
-3*(q - 25)**2
Factor l**2 + 318*l + 25281.
(l + 159)**2
Factor -10*m**5 + 365*m**4 - 700*m**3 + 345*m**2.
-5*m**2*(m - 1)**2*(2*m - 69)
Factor 2*t**2/5 - 8*t/5 + 6/5.
2*(t - 3)*(t - 1)/5
Find f such that f**3 + 3*f**2 - 9*f - 27 = 0.
-3, 3
Factor 3*w**3 + 12*w**2 - 15*w.
3*w*(w - 1)*(w + 5)
Determine d, given that d**2/2 - 153*d - 307/2 = 0.
-1, 307
What is i in -9*i**5/8 + 87*i**4/8 - 57*i**3/4 - 6*i**2 = 0?
-1/3, 0, 2, 8
What is p in 3*p**5/4 + 15*p**4/4 + 9*p**3/4 - 27*p**2/4 = 0?
-3, 0, 1
Factor -2*p**5/5 - 6*p**4/5 + 4*p**3.
-2*p**3*(p - 2)*(p + 5)/5
Factor -2*t**4 + 22*t**3 + 160*t**2.
-2*t**2*(t - 16)*(t + 5)
Let -z**5 - 13*z**4 - 12*z**3 = 0. Calculate z.
-12, -1, 0
Solve -4*k**5 - 72*k**4 - 36*k**3 + 2592*k**2 - 5184*k = 0 for k.
-12, 0, 3
Let m**4/6 - 61*m**3/3 + 1199*m**2/2 + 3782*m/3 + 1922/3 = 0. Calculate m.
-1, 62
Factor -4*p**3 + 180*p**2 - 2268*p + 5292.
-4*(p - 21)**2*(p - 3)
Let -s**3 + s**2 + 4*s - 4 = 0. What is s?
-2, 1, 2
Factor 5*o**2 - 20*o + 15.
5*(o - 3)*(o - 1)
Let 2*y**4/7 - 22*y**3 + 734*y**2/7 - 1014*y/7 + 432/7 = 0. What is y?
1, 3, 72
Find j such that 2*j**5/9 - 4*j**3/9 + 2*j/9 = 0.
-1, 0, 1
Factor -3*j**4/7 - 297*j**3/7.
-3*j**3*(j + 99)/7
Factor -v**4/11 + 5*v**3/11 - 2*v**2/11 - 8*v/11.
-v*(v - 4)*(v - 2)*(v + 1)/11
Find z such that 96*z**2 - 456*z + 1083/2 = 0.
19/8
Factor -p**5/6 + p**4/6 + p**3/3.
-p**3*(p - 2)*(p + 1)/6
Find o such that -3*o**4 - 102*o**3 - 99*o**2 = 0.
-33, -1, 0
Factor 2*h**3/3 + 436*h**2/9 + 170*h + 92.
2*(h + 3)*(h + 69)*(3*h + 2)/9
Let 22*c**3/9 + 494*c**2/9 - 92*c/3 = 0. Calculate c.
-23, 0, 6/11
Find t such that 33*t**4 - 199*t**3/2 - 261*t**2/2 + 2*t = 0.
-1, 0, 1/66, 4
Determine g, given that -4*g**3 + 1020*g**2 - 86700*g + 2456500 = 0.
85
What is f in f**2 - 1067*f - 1068 = 0?
-1, 1068
Factor -d**5/4 + 13*d**4/4 - 23*d**3/4 + 11*d**2/4.
-d**2*(d - 11)*(d - 1)**2/4
Solve 50*u**5 + 1260*u**4 + 9418*u**3 + 16048*u**2 - 17688*u + 3872 = 0.
-11, -4, 2/5
Solve -y**2/3 + y + 6 = 0.
-3, 6
Factor a**3/5 - 21*a**2/5 - a/5 + 21/5.
(a - 21)*(a - 1)*(a + 1)/5
Determine s so that -36*s**4 + 60*s**3 + 15*s**2 - 60*s + 21 = 0.
-1, 1/2, 1, 7/6
Factor -2*u**3/3 + 92*u**2/3 - 86*u/3 - 60.
-2*(u - 