40*u**2 + 688*u - 16 = 0.
2/85, 2
Factor 55*w**3 + 375*w**2 - 510*w + 80.
5*(w - 1)*(w + 8)*(11*w - 2)
Let 2*j**5/7 - 58*j**4/7 + 330*j**3/7 - 494*j**2/7 + 220*j/7 = 0. Calculate j.
0, 1, 5, 22
Find d such that -d**2 - 105*d - 686 = 0.
-98, -7
Find o such that -o**2/3 + 9*o + 58/3 = 0.
-2, 29
Factor z**3 + 363*z**2/4 - 91*z/4.
z*(z + 91)*(4*z - 1)/4
Find f such that 243*f**5 - 1566*f**4 + 417*f**3 + 1494*f**2 - 660*f + 72 = 0.
-1, 2/9, 1, 6
Factor -o**2/3 - 38*o/3 - 87.
-(o + 9)*(o + 29)/3
Factor u**5 + 245*u**4 - 247*u**3 - 245*u**2 + 246*u.
u*(u - 1)**2*(u + 1)*(u + 246)
Solve -4*h**5/5 + 4*h**4/5 + 276*h**3/5 - 772*h**2/5 - 32*h/5 + 1008/5 = 0 for h.
-9, -1, 2, 7
Solve -t**3/2 - 16*t**2 - 90*t + 648 = 0 for t.
-18, 4
Factor m**2/8 - 427*m/8.
m*(m - 427)/8
Factor j**3 - 5*j**2/4 - 79*j/4 + 5.
(j - 5)*(j + 4)*(4*j - 1)/4
What is p in -2*p**5/5 + 18*p**4/5 - 8*p**3 - 32*p**2/5 + 192*p/5 - 32 = 0?
-2, 2, 5
Suppose -g**3 - 192*g**2 - 10101*g - 82810 = 0. Calculate g.
-91, -10
Factor 5*k**2 + 155*k + 420.
5*(k + 3)*(k + 28)
Find c such that -4*c**2/3 - 232*c/3 + 236/3 = 0.
-59, 1
Suppose 3*d**5/8 + 3*d**4/4 - 15*d**3/8 - 15*d**2/4 + 3*d/2 + 3 = 0. What is d?
-2, -1, 1, 2
Let -2*q**3/13 - 2*q**2/13 + 24*q/13 = 0. Calculate q.
-4, 0, 3
Find l, given that -2*l**3/3 + 14*l**2 - 80*l + 200/3 = 0.
1, 10
Factor -2*f**4/3 + 16*f**3/3 - 10*f**2/3 - 28*f/3.
-2*f*(f - 7)*(f - 2)*(f + 1)/3
Factor -4*q**2 - 7*q + 30.
-(q - 2)*(4*q + 15)
Find m such that -9*m**2 + 318*m + 216 = 0.
-2/3, 36
Factor -2*v**3 + 74*v**2 - 646*v - 722.
-2*(v - 19)**2*(v + 1)
Factor j**2/4 + 953*j/4 + 951/2.
(j + 2)*(j + 951)/4
Factor -l**2/3 - 3572*l/3 - 3189796/3.
-(l + 1786)**2/3
Factor -4*i**2 + 244*i + 248.
-4*(i - 62)*(i + 1)
Factor -5*s**3 + 14855*s**2 + 14860*s.
-5*s*(s - 2972)*(s + 1)
Solve 4*y**2 + 48*y = 0.
-12, 0
Factor h**4 + 8*h**3 + 7*h**2.
h**2*(h + 1)*(h + 7)
Factor 3*g**5/5 + 3*g**4/5 - 24*g**3/5 - 36*g**2/5.
3*g**2*(g - 3)*(g + 2)**2/5
Factor 5*p**2 + 7125*p.
5*p*(p + 1425)
Factor y**4 + 26*y**3 + 93*y**2 + 112*y + 44.
(y + 1)**2*(y + 2)*(y + 22)
Determine s so that -2*s**3/7 - 118*s**2/7 - 240*s + 1800/7 = 0.
-30, 1
Factor 2*l**4/9 + 32*l**3/9 + 52*l**2/3 + 224*l/9 + 98/9.
2*(l + 1)**2*(l + 7)**2/9
Let -m**5/4 - m**4/2 + m**3 + 2*m**2 = 0. What is m?
-2, 0, 2
Determine q, given that 4*q**2 - 552*q + 19044 = 0.
69
Suppose 6*q**3/7 - 10*q**2/21 - 44*q/7 = 0. What is q?
-22/9, 0, 3
Find m, given that -m**4 - 36*m**3 - 219*m**2 - 476*m - 348 = 0.
-29, -3, -2
Determine a so that -2*a**4/3 + 158*a**3/3 - 1404*a**2 + 39208*a/3 - 35152/3 = 0.
1, 26
Let -d**4/5 + d**3 + 6*d**2/5 = 0. What is d?
-1, 0, 6
Solve 2*n**2/9 + 52*n/9 - 128/3 = 0 for n.
-32, 6
Find j such that -j**2 + 77*j - 426 = 0.
6, 71
Solve -3*w**5 + 57*w**4 - 42*w**3 - 228*w**2 + 216*w = 0 for w.
-2, 0, 1, 2, 18
Factor t**3/2 - 21*t**2/2 - 23*t.
t*(t - 23)*(t + 2)/2
Factor w**3/5 - 14*w**2/5 - 551*w/5 + 8664/5.
(w - 19)**2*(w + 24)/5
Factor -2*l**4 + 154*l**3 - 1404*l**2 + 4352*l - 4288.
-2*(l - 67)*(l - 4)**2*(l - 2)
Factor -5*h**2 + 35*h + 40.
-5*(h - 8)*(h + 1)
Factor v**5 + 10*v**4 + 32*v**3 + 38*v**2 + 15*v.
v*(v + 1)**2*(v + 3)*(v + 5)
Solve 4*b**3 + 24*b**2 + 12*b - 40 = 0.
-5, -2, 1
Factor -4*g**3 - 92*g**2 - 316*g - 228.
-4*(g + 1)*(g + 3)*(g + 19)
Solve 2*y**2 - 628*y + 49298 = 0 for y.
157
Factor -i**2 + 140*i.
-i*(i - 140)
Suppose 2*l**2/3 - 650*l/3 - 652/3 = 0. Calculate l.
-1, 326
Find p such that -3*p**3 - 12*p**2 = 0.
-4, 0
Factor 116*d**2 + 33*d + 1.
(4*d + 1)*(29*d + 1)
Factor 5*r**2 + 170*r - 175.
5*(r - 1)*(r + 35)
Factor -4*r**2 - 120*r - 900.
-4*(r + 15)**2
Factor 3*n**2/4 + 99*n/4 - 111.
3*(n - 4)*(n + 37)/4
Solve 3*z**5 + 9*z**4 - 12*z**3 = 0.
-4, 0, 1
Factor -4*x**5 - 32*x**4 - 80*x**3 - 64*x**2.
-4*x**2*(x + 2)**2*(x + 4)
Let c**5/2 + 15*c**4 - 171*c**3/2 + 70*c**2 = 0. Calculate c.
-35, 0, 1, 4
What is v in -5*v**4 - 35*v**3 + 190*v**2 + 1740*v + 2520 = 0?
-6, -2, 7
Factor -3*y**4 + 57*y**3 + 60*y**2.
-3*y**2*(y - 20)*(y + 1)
Solve v**2/2 + 6*v + 10 = 0.
-10, -2
Find a such that 2*a**4/3 - 2*a**3 + 2*a**2 - 2*a/3 = 0.
0, 1
Factor 3*f**2/7 - 162*f/7 - 165/7.
3*(f - 55)*(f + 1)/7
Factor -8*g**3/3 + 7160*g**2/3 + 7166*g/3 + 1792/3.
-2*(g - 896)*(2*g + 1)**2/3
Factor -o**3/2 - 13*o**2/2 - 23*o/2 - 11/2.
-(o + 1)**2*(o + 11)/2
Factor 4*g**3 + 412*g**2 + 808*g.
4*g*(g + 2)*(g + 101)
Let 18*y**3 - 237*y**2 - 213*y + 42 = 0. Calculate y.
-1, 1/6, 14
Factor -6*v**3/11 - 42*v**2/11 - 96*v/11 - 72/11.
-6*(v + 2)**2*(v + 3)/11
Factor 2*i**3/3 - 32*i**2/3 + 118*i/3 - 88/3.
2*(i - 11)*(i - 4)*(i - 1)/3
Factor t**4/6 + 7*t**3/3 - 20*t**2/3 - 64*t/3.
t*(t - 4)*(t + 2)*(t + 16)/6
Factor -5*v**3 - 245*v**2 - 2875*v + 3125.
-5*(v - 1)*(v + 25)**2
Let -60*h**4 + 415*h**3 + 120*h**2 - 615*h + 140 = 0. Calculate h.
-4/3, 1/4, 1, 7
Determine d so that -d**2/3 + 2*d + 7/3 = 0.
-1, 7
Factor -2*c**5/5 - 30*c**4 + 462*c**3/5 - 466*c**2/5 + 156*c/5.
-2*c*(c - 1)**3*(c + 78)/5
Factor -9*y**2 - 213*y - 138.
-3*(y + 23)*(3*y + 2)
Solve -2*h**5/3 - 22*h**4/3 - 12*h**3 = 0.
-9, -2, 0
Factor -4*p**2 + 400*p + 1236.
-4*(p - 103)*(p + 3)
Factor 2*d**5 + 8*d**4 + 8*d**3.
2*d**3*(d + 2)**2
Determine q, given that -2*q**2 - 404*q - 20402 = 0.
-101
Factor 2*i**4/9 - 1238*i**3/9 + 84448*i**2/3 - 16699904*i/9 - 89989120/9.
2*(i - 208)**3*(i + 5)/9
Factor u**5/6 - u**4/2 - u**3/6 + 11*u**2/6 - 2*u + 2/3.
(u - 2)*(u - 1)**3*(u + 2)/6
Factor 3*a**4 - 24*a**3 + 60*a**2 - 48*a.
3*a*(a - 4)*(a - 2)**2
Solve -g**4/4 - g**3 - 5*g**2/4 - g/2 = 0.
-2, -1, 0
Find s, given that -33*s**4 - 588*s**3 - 981*s**2 - 330*s + 96 = 0.
-16, -1, 2/11
Find o, given that -5*o**2 + 6820*o - 13620 = 0.
2, 1362
What is r in 2*r**3 - 6*r**2 - 32*r - 24 = 0?
-2, -1, 6
Solve 4*l**4 - 12*l**3 - 60*l**2 - 68*l - 24 = 0.
-1, 6
Suppose -p**3 - 51*p**2 - 50*p = 0. Calculate p.
-50, -1, 0
Determine z so that -z**3 + 4393*z**2 - 4822415*z - 4826809 = 0.
-1, 2197
Solve 3*k**2 - 33*k + 30 = 0 for k.
1, 10
Determine v so that 8*v**4/21 - 72*v**3/7 + 1346*v**2/21 + 72*v + 56/3 = 0.
-1/2, 14
Let -4*r**2 + 312*r + 4732 = 0. What is r?
-13, 91
Factor a**5 - 10*a**3 - 20*a**2 - 15*a - 4.
(a - 4)*(a + 1)**4
Solve -2*k**3 + 34*k**2 - 190*k + 350 = 0.
5, 7
Suppose -2*o**2/7 - 68*o/7 - 578/7 = 0. Calculate o.
-17
What is y in y**5 - 4*y**4 - 7*y**3 + 10*y**2 = 0?
-2, 0, 1, 5
Suppose 20*i**4 - 875*i**3 - 240*i**2 + 875*i + 220 = 0. Calculate i.
-1, -1/4, 1, 44
Factor 2*b**2/11 - 124*b/11 - 126/11.
2*(b - 63)*(b + 1)/11
Let -3*u**2/7 + 66*u/7 + 225/7 = 0. Calculate u.
-3, 25
Factor f**5/6 - 235*f**4/6.
f**4*(f - 235)/6
Let -5*w**4 - 885*w**3 - 51300*w**2 - 918000*w + 3240000 = 0. Calculate w.
-60, 3
Suppose 3*p**5/7 - 3*p**4 - 177*p**3/7 - 99*p**2/7 + 702*p/7 + 648/7 = 0. Calculate p.
-3, -1, 2, 12
Suppose 3*x**3/8 + 6573*x**2/8 - 13155*x/8 + 6579/8 = 0. What is x?
-2193, 1
Suppose i**3/4 + 1659*i**2/2 + 917427*i + 338224754 = 0. Calculate i.
-1106
Determine h, given that h**3/8 - 79*h**2/8 - 61*h/2 - 41/2 = 0.
-2, -1, 82
Suppose -27*d**3/2 - 51*d**2/2 - 21*d/2 + 3/2 = 0. What is d?
-1, 1/9
Solve -z**4 - 3*z**3 - z**2 + 3*z + 2 = 0 for z.
-2, -1, 1
What is w in -2*w**3/11 - 516*w**2/11 - 33282*w/11 = 0?
-129, 0
Find o such that -o**4/4 + 59*o**3/4 + 61*o**2/4 - 59*o/4 - 15 = 0.
-1, 1, 60
Factor w**2 + 2760*w + 1904400.
(w + 1380)**2
What is y in 19*y**4 + 1499*y**3 - 3236*y**2 + 324*y = 0?
-81, 0, 2/19, 2
Factor 2*w**3/3 - 42*w**2 + 160*w - 472/3.
2*(w - 59)*(w - 2)**2/3
Factor -r**2/6 + 513*r/2 - 769/3.
-(r - 1538)*(r - 1)/6
Factor -2*i**4 + 8*i**3 + 12*i**2 - 8*i - 10.
-2*(i - 5)*(i - 1)*(i + 1)**2
Factor -9*t**3/2 + 213*t**2/2 + 148*t + 50.
-(t - 25)*(3*t + 2)**2/2
What is l in 8*l**5/11 - 334*l**4/11 + 244*l**3/11 + 82*l**2/11 = 0?
-1/4, 0, 1, 41
Factor v**5/9 - 44*v**4/3 + 130*v**3/3 - 388*v**2/9 + 43*v/3.
v*(v - 129)*(v - 1)**3/9
Factor y**3/2 - 17*y**2 - y/2 + 17.
(y - 34)*(y - 1)*(y + 1)/2
Factor 2*t**4 - 1930*t**3 - 1932*t**2.
2*t**2*(t - 966)*(t + 1)
Factor 3*j**4/5 - 69*j**3/5.
3*j**3*(j - 23)/5
Factor 3*j**2/5 - 48*j/5 + 9.
3*(j - 15)*(j - 1)/5
Find q such that 2*q**5 + 14*q**4 - 2*q**3 - 14*q**2 = 0.
-7, -1, 0, 1
Suppose 10*o**5 - 46*o**4 - 50*o**3 + 158*o**2 - 32*o - 40 = 0. Calculate o.
-2, -2/5, 1, 5
Factor 4*j**3/9 + 5*j**2/9 - 4*j/9 - 5/9.
(j - 1)*(j +