22, -1, 0
Factor 4*h**2/3 - 440*h/3 + 12100/3.
4*(h - 55)**2/3
Let -20*c**5 - 116*c**4 - 92*c**3 + 372*c**2 + 288*c - 432 = 0. Calculate c.
-3, -2, 1, 6/5
Factor -y**2 - 95*y - 1444.
-(y + 19)*(y + 76)
Solve -3*d**3/8 - 15*d**2/8 + 21*d/4 = 0.
-7, 0, 2
What is h in 3*h**5 + 2*h**4 - 32*h**3 - 78*h**2 - 67*h - 20 = 0?
-5/3, -1, 4
Let -14*n**2/11 + 416*n/11 + 120/11 = 0. Calculate n.
-2/7, 30
Factor -p**2/7 - 3*p/7.
-p*(p + 3)/7
Find c such that -5*c**2/6 - 11*c/3 - 4/3 = 0.
-4, -2/5
What is m in m**4/5 + 8*m**3/5 + 11*m**2/5 - 8*m/5 - 12/5 = 0?
-6, -2, -1, 1
Factor r**2/4 + 156*r + 311.
(r + 2)*(r + 622)/4
Find f such that -2*f**3/15 + 1672*f**2/15 - 69554*f/3 - 702244/15 = 0.
-2, 419
Factor z**4/3 - 4*z**3/3 - 2*z**2/3 + 4*z + 3.
(z - 3)**2*(z + 1)**2/3
What is g in -2*g**2 - 208*g + 210 = 0?
-105, 1
Find c such that -4*c**5/3 - 2*c**4/3 + 6*c**3 + 8*c**2/3 - 8*c/3 = 0.
-2, -1, 0, 1/2, 2
Let 2*g**3/23 - 5040*g**2/23 + 3175200*g/23 = 0. Calculate g.
0, 1260
Find u such that -5*u**2/3 + 41*u/3 = 0.
0, 41/5
What is l in -94*l**3/5 - 474*l**2/5 - 396*l/5 - 16/5 = 0?
-4, -1, -2/47
Let 5*a**3 + 155*a**2 + 1120*a - 1280 = 0. Calculate a.
-16, 1
Let -p**2 - p + 6 = 0. What is p?
-3, 2
Factor -4*o**3 + 388*o**2 - 384*o.
-4*o*(o - 96)*(o - 1)
Let -2*t**3/11 - 74*t**2/11 - 142*t/11 - 70/11 = 0. What is t?
-35, -1
Let -2*p**5/11 - 10*p**4/11 - 14*p**3/11 - 6*p**2/11 = 0. What is p?
-3, -1, 0
Suppose -3*u**4/4 - 9*u**3 + 87*u**2/2 + 135*u - 675/4 = 0. Calculate u.
-15, -3, 1, 5
Determine t, given that -8*t**4/7 + 166*t**3/7 - 118*t**2/7 - 40*t/7 = 0.
-1/4, 0, 1, 20
Suppose 5*p**3 - 5*p**2 - 150*p = 0. Calculate p.
-5, 0, 6
Factor -a**2/5 - 9092*a/5 - 20666116/5.
-(a + 4546)**2/5
Factor -2*n**2 - 24408*n - 74468808.
-2*(n + 6102)**2
Factor 2*a**2 - 12*a - 80.
2*(a - 10)*(a + 4)
Solve -c**3/3 + 7*c**2/3 + 1960*c/3 - 38416/3 = 0.
-49, 28
Let -q**4 + 64*q**3 - 1135*q**2 + 3300*q + 4500 = 0. What is q?
-1, 5, 30
Factor 4*q**4 + 1819*q**3 + 205657*q**2 - 259464*q + 51984.
(q - 1)*(q + 228)**2*(4*q - 1)
What is j in -3*j**5/2 - 3*j**4/2 + 3*j**3/2 + 3*j**2/2 = 0?
-1, 0, 1
Factor 5*o**4 + 130*o**3 + 1085*o**2 + 2940*o.
5*o*(o + 7)**2*(o + 12)
Find p, given that -3*p**3/2 + 969*p**2/2 - 78729*p/2 + 77763/2 = 0.
1, 161
Factor l**2 + 13274*l + 44049769.
(l + 6637)**2
Factor 4*c**2 + 1020*c.
4*c*(c + 255)
Factor -p**3 - 4*p**2 + 3*p + 18.
-(p - 2)*(p + 3)**2
Solve -n**5/5 - 16*n**4/5 - 41*n**3/5 - 26*n**2/5 = 0.
-13, -2, -1, 0
Solve -3*w**3/5 + 123*w**2/5 - 1281*w/5 + 3969/5 = 0 for w.
7, 27
Find v, given that 6*v**5 + 246*v**4/5 + 198*v**3/5 - 78*v**2 - 84*v/5 = 0.
-7, -2, -1/5, 0, 1
Let -2*f**4 - 166*f**3 - 634*f**2 - 146*f + 948 = 0. Calculate f.
-79, -3, -2, 1
Factor -5*l**5 - 20*l**4 + 70*l**2 + 85*l + 30.
-5*(l - 2)*(l + 1)**3*(l + 3)
Factor m**5 - 5*m**4 + 8*m**3 - 4*m**2.
m**2*(m - 2)**2*(m - 1)
Factor 8*k**3/7 + 296*k**2 - 2078*k/7 + 520/7.
2*(k + 260)*(2*k - 1)**2/7
Factor 4*m**4 - 236*m**3 + 2060*m**2 - 4900*m.
4*m*(m - 49)*(m - 5)**2
Factor 2*g**4/3 - 8*g**3/3 - 8*g**2/3 + 32*g/3.
2*g*(g - 4)*(g - 2)*(g + 2)/3
Factor 4*i**3 - 52*i**2 - 192*i.
4*i*(i - 16)*(i + 3)
Factor -q**2/8 + 11*q/8 + 13/4.
-(q - 13)*(q + 2)/8
Determine u so that -3*u**2 + 462*u + 936 = 0.
-2, 156
Factor -3*k**3 - 9*k**2 + 12*k.
-3*k*(k - 1)*(k + 4)
Factor -4*x**5 - 63*x**4/2 + 4*x**3.
-x**3*(x + 8)*(8*x - 1)/2
Factor j**3 - 15*j**2 + 12*j + 352.
(j - 11)*(j - 8)*(j + 4)
Solve u**2/3 - 392*u/3 + 38416/3 = 0.
196
Suppose -3*z**5 - 6*z**4 + 192*z**3 + 6*z**2 - 189*z = 0. What is z?
-9, -1, 0, 1, 7
Factor 99*r**3/8 + 15*r**2/8 - 99*r/8 - 15/8.
3*(r - 1)*(r + 1)*(33*r + 5)/8
Let 2*i**4 + 40*i**3 - 414*i**2 + 932*i - 560 = 0. Calculate i.
-28, 1, 2, 5
Find l, given that 3*l**2 - 66*l + 63 = 0.
1, 21
Factor z**3/11 + 19*z**2 + 1223*z/11 + 1015/11.
(z + 1)*(z + 5)*(z + 203)/11
Factor 5*b**4 + 110*b**3 + 645*b**2 + 540*b.
5*b*(b + 1)*(b + 9)*(b + 12)
Factor 2*b**2/5 - 188*b/5 + 4418/5.
2*(b - 47)**2/5
Suppose 5*u**4 - 5*u**3 - 25*u**2 - 15*u = 0. Calculate u.
-1, 0, 3
Find a such that a**5 + 25*a**4 - 55*a**3 - 25*a**2 + 54*a = 0.
-27, -1, 0, 1, 2
Find s, given that -3*s**4/7 - 45*s**3/7 + 48*s**2/7 = 0.
-16, 0, 1
Suppose -p**3/2 - 11*p**2/2 - 12*p = 0. Calculate p.
-8, -3, 0
Factor -4*s**5 + 44*s**4 - 72*s**3 - 8*s**2 + 76*s - 36.
-4*(s - 9)*(s - 1)**3*(s + 1)
Factor a**2/8 - 6*a + 23/2.
(a - 46)*(a - 2)/8
Factor 5*x**4 + 110*x**3 + 765*x**2 + 1620*x.
5*x*(x + 4)*(x + 9)**2
Factor -10*p**3 + 54*p**2 + 40*p - 24.
-2*(p - 6)*(p + 1)*(5*p - 2)
Factor y**2/6 - 7*y/3 + 49/6.
(y - 7)**2/6
Let -2*b**2/5 + 22*b/5 - 48/5 = 0. Calculate b.
3, 8
Factor -2*d**2/7 - 20*d/7 - 18/7.
-2*(d + 1)*(d + 9)/7
Factor -j**3/6 + 115*j**2/3 + j/6 - 115/3.
-(j - 230)*(j - 1)*(j + 1)/6
Factor 3*i**2/5 - 111*i/5.
3*i*(i - 37)/5
Factor j**2/2 - 169*j + 28561/2.
(j - 169)**2/2
Factor d**3 - 2384*d**2 + 1420864*d.
d*(d - 1192)**2
Find z such that z**5 + 48*z**4 + 138*z**3 + 136*z**2 + 45*z = 0.
-45, -1, 0
What is m in 3*m**2/7 + 264*m/7 - 267/7 = 0?
-89, 1
Factor -2*n**3/21 - 92*n**2/21 - 1240*n/21 - 5200/21.
-2*(n + 10)**2*(n + 26)/21
Factor -g**2/10 + 44*g/5 - 968/5.
-(g - 44)**2/10
Solve -x**2 - 9*x + 10 = 0 for x.
-10, 1
Factor 4*l**5 + 6*l**4 - 2*l**2.
2*l**2*(l + 1)**2*(2*l - 1)
Factor -2*p**3/7 - 46*p**2/7 - 220*p/7 - 272/7.
-2*(p + 2)*(p + 4)*(p + 17)/7
Determine o, given that 2*o**4 + 1096*o**3 + 151244*o**2 + 299208*o + 149058 = 0.
-273, -1
Factor 7*l**3 + 55*l**2 - 227*l + 165.
(l - 1)*(l + 11)*(7*l - 15)
Determine w so that -w**2/7 - 17*w + 120/7 = 0.
-120, 1
Factor -3*t**4 - 33*t**3 - 30*t**2.
-3*t**2*(t + 1)*(t + 10)
Solve 3*m**5/2 - 12*m**4 + 51*m**3/2 - 15*m**2 = 0 for m.
0, 1, 2, 5
Solve 4*c**3 - 36*c**2 + 56*c = 0.
0, 2, 7
Factor 2*x**5/11 - 4*x**4/11 - 8*x**3/11 + 16*x**2/11.
2*x**2*(x - 2)**2*(x + 2)/11
Solve 6*w**2 - 699*w + 348 = 0.
1/2, 116
Find h, given that 3*h**4 - 12*h**3 + 15*h**2 - 6*h = 0.
0, 1, 2
What is h in 5*h**3 - 885*h**2 + 32775*h + 586625 = 0?
-13, 95
Factor -v**4 + 30*v**3 + 97*v**2 + 66*v.
-v*(v - 33)*(v + 1)*(v + 2)
Factor -i**2 - 3890*i - 3783025.
-(i + 1945)**2
Factor d**3 - 2*d**2 + d.
d*(d - 1)**2
Factor 20*n**2 + 1975*n - 495.
5*(n + 99)*(4*n - 1)
Factor -2*m**2 - 558*m - 556.
-2*(m + 1)*(m + 278)
Solve 3*g**2/8 - 87*g/2 + 345/8 = 0 for g.
1, 115
Factor 10*r**3 + 4*r**2/3 - 10*r - 4/3.
2*(r - 1)*(r + 1)*(15*r + 2)/3
Let 15*w**4/2 - 87*w**3/2 + 60*w**2 - 24*w = 0. Calculate w.
0, 4/5, 1, 4
Find f, given that 3*f**5 - 54*f**4 + 117*f**3 + 294*f**2 - 360*f = 0.
-2, 0, 1, 4, 15
Let 2*p**4 - 108*p**3/13 - 270*p**2/13 - 112*p/13 + 24/13 = 0. What is p?
-1, 2/13, 6
Factor 2*q**2/3 + 184*q/9 + 40/3.
2*(q + 30)*(3*q + 2)/9
What is x in -10*x**2 + 144*x + 90 = 0?
-3/5, 15
Factor -22*q**2 - 36*q + 16.
-2*(q + 2)*(11*q - 4)
Factor 4*u**2/3 + 28*u/3 - 1392.
4*(u - 29)*(u + 36)/3
Solve -2*d**4/23 + 24*d**3/23 - 14*d**2/23 - 96*d/23 + 88/23 = 0 for d.
-2, 1, 2, 11
Factor -3*p**2/2 - 453*p/4 + 57.
-3*(p + 76)*(2*p - 1)/4
Let 3*b**3 + 546*b**2 = 0. What is b?
-182, 0
Factor -2*i**4 + 8*i**3 - 2*i**2 - 12*i.
-2*i*(i - 3)*(i - 2)*(i + 1)
Factor 3*c**4/4 - 39*c**3/4 + 105*c**2/4 + 147*c/4.
3*c*(c - 7)**2*(c + 1)/4
Let 12*c**3/5 - 392*c**2/5 + 732*c - 1440 = 0. What is c?
8/3, 15
Factor 2*w**3 + 10*w**2 + 14*w + 6.
2*(w + 1)**2*(w + 3)
Suppose -3*g**2 + 27*g - 54 = 0. What is g?
3, 6
Factor 1519*n**2/6 + 224*n/3 + 2/3.
(7*n + 2)*(217*n + 2)/6
Let r**3/7 - 239*r**2/7 - 724*r/7 - 484/7 = 0. Calculate r.
-2, -1, 242
Factor p**4/5 + 13*p**3/5 + 8*p**2 + 36*p/5.
p*(p + 2)**2*(p + 9)/5
Find o such that -3*o**5/5 + 27*o**4/5 + 141*o**3/5 + 189*o**2/5 + 78*o/5 = 0.
-2, -1, 0, 13
Find g such that 5*g**3 - 250*g**2 - 515*g - 260 = 0.
-1, 52
Factor 5*w**4 + 95*w**3.
5*w**3*(w + 19)
Solve 2*v**3/5 + 94*v**2 - 476*v/5 - 944/5 = 0 for v.
-236, -1, 2
Find s, given that -192*s**4 - 372*s**3 - 216*s**2 - 33*s + 3 = 0.
-1, -1/2, 1/16
Solve -2*r**3/11 - 10*r**2/11 + 2*r/11 + 10/11 = 0 for r.
-5, -1, 1
Suppose 2*q**3/9 - 14*q**2/9 + 4*q/3 = 0. Calculate q.
0, 1, 6
Let k**3/6 + k**2/2 - k/6 - 1/2 = 0. What is k?
-3, -1, 1
Solve 3*f**2/5 + 16482*f/5 + 22638027/5 = 0.
-2747
Suppose 4*d**2 + 2760*d + 476100 = 0. Calculate d.
-345
Let 2*x**3/5 + 88*x**2/5 + 210*x + 1764/5 = 0. What is x?
-21, -2
Find x such that -4*x*