76*p**2 + 2100*p + 3528 = 0.
-21, -2
Factor 4*a**3 + 792*a**2 + 52272*a + 1149984.
4*(a + 66)**3
Determine a, given that 2*a**4/19 + 86*a**3 = 0.
-817, 0
Determine h so that -2*h**2 - 54*h + 116 = 0.
-29, 2
Factor 4*i**3 + 732*i**2 + 35904*i + 216832.
4*(i + 7)*(i + 88)**2
Factor 4*m**2 + 28*m - 120.
4*(m - 3)*(m + 10)
Let 4*a**2 - 5472*a + 16380 = 0. Calculate a.
3, 1365
Factor -3*w**3 + 51*w**2 + 123*w - 171.
-3*(w - 19)*(w - 1)*(w + 3)
Determine t so that -4*t**4/5 + 64*t**3/5 + 96*t**2 + 1024*t/5 + 704/5 = 0.
-2, 22
Factor 18*n**2/11 + 16*n - 40/11.
2*(n + 10)*(9*n - 2)/11
Factor 4*f**4 + 33*f**3 + 8*f**2.
f**2*(f + 8)*(4*f + 1)
Suppose 5*a**4 - 10*a**3 - 20*a**2 + 40*a = 0. What is a?
-2, 0, 2
Determine f, given that -f**5/4 - 3*f**4/4 + 7*f**3/4 + 7*f**2/4 - 9*f/2 + 2 = 0.
-4, -2, 1
Find a, given that 2*a**2/7 + 16*a/7 - 18/7 = 0.
-9, 1
Factor 2*r**3/5 - 24*r**2/5 - 6*r + 52/5.
2*(r - 13)*(r - 1)*(r + 2)/5
Factor -8*x**5 - 14*x**4 + 4*x**3.
-2*x**3*(x + 2)*(4*x - 1)
Factor -3*t**4 + 15*t**3 - 9*t**2 - 27*t.
-3*t*(t - 3)**2*(t + 1)
Factor -8*c**2 + 196*c + 100.
-4*(c - 25)*(2*c + 1)
Solve -3*p**2 - 183*p + 186 = 0 for p.
-62, 1
Solve -51*b**4 - 24*b**3 + 201*b**2 - 126*b = 0 for b.
-42/17, 0, 1
Factor -4*m**2/5 - 1226*m - 3064/5.
-2*(m + 1532)*(2*m + 1)/5
Factor 2*y**2/5 + 28*y/5 - 64/5.
2*(y - 2)*(y + 16)/5
Find y such that y**4 - 30*y**3 - 64*y**2 = 0.
-2, 0, 32
Factor -n**2/4 + 5*n - 19/4.
-(n - 19)*(n - 1)/4
Solve -98*l**5 + 756*l**4 - 2232*l**3 + 21520*l**2/7 - 13056*l/7 + 2304/7 = 0.
2/7, 12/7, 2
Solve 12*r**3 - 144*r**2 + 135*r - 33 = 0 for r.
1/2, 11
Factor -32*l**4/7 + 1584*l**3/7 + 114*l**2 + 100*l/7.
-2*l*(l - 50)*(4*l + 1)**2/7
Find b such that 3*b**5 + 42*b**4 - 117*b**3 - 348*b**2 - 192*b = 0.
-16, -1, 0, 4
Solve 8*a**4/3 - 22*a**3/3 - 14*a**2/3 + 22*a/3 + 2 = 0.
-1, -1/4, 1, 3
Factor u**5/5 - 4*u**3/5 - 2*u**2/5 + 3*u/5 + 2/5.
(u - 2)*(u - 1)*(u + 1)**3/5
Let -2*v**4 + 1882*v**3 - 591570*v**2 + 62504222*v - 122657188 = 0. Calculate v.
2, 313
Factor 3*f**4 + 558*f**3 + 24795*f**2 - 108300*f.
3*f*(f - 4)*(f + 95)**2
Solve -3*s**5 + 48*s**4 + 6*s**3 - 96*s**2 - 3*s + 48 = 0.
-1, 1, 16
Factor 2*i**2 - 368*i + 16928.
2*(i - 92)**2
Factor 6*v**2 + 862*v/3 + 752/3.
2*(v + 47)*(9*v + 8)/3
Solve 4*q**5 + 12*q**4 - 8*q**3 - 48*q**2 - 32*q = 0 for q.
-2, -1, 0, 2
Factor -2*t**2/7 + 97*t/7 + 7.
-(t - 49)*(2*t + 1)/7
Factor -4*b**3/3 - 84*b**2.
-4*b**2*(b + 63)/3
Factor t**2 + 1231*t.
t*(t + 1231)
Factor 4*n**3 - 320*n**2 + 4352*n - 16384.
4*(n - 64)*(n - 8)**2
Let 15*a**4/2 - 9*a**3 - 57*a**2/2 + 36*a - 6 = 0. Calculate a.
-2, 1/5, 1, 2
Let 2*p**2/7 + 6*p/7 - 36/7 = 0. Calculate p.
-6, 3
Find n such that n**3/3 - n**2 - 4*n/3 = 0.
-1, 0, 4
Factor 5*p**5 - 495*p**4 + 1930*p**3 - 2870*p**2 + 1905*p - 475.
5*(p - 95)*(p - 1)**4
Suppose -2*b**4/11 + 2*b**2/11 = 0. Calculate b.
-1, 0, 1
Determine y, given that -5*y**3 - 125*y**2 - 440*y - 420 = 0.
-21, -2
What is n in 3*n**3/5 + 756*n**2/5 + 63504*n/5 + 1778112/5 = 0?
-84
Factor 2*x**2/7 + 104*x - 1464/7.
2*(x - 2)*(x + 366)/7
Find z such that 189*z**3 - 222*z**2 + 27*z + 6 = 0.
-1/9, 2/7, 1
Find y such that -4*y**4 - 36*y**3 + 56*y**2 + 144*y - 160 = 0.
-10, -2, 1, 2
Suppose 5*d**5 - 317*d**4 - 849*d**3 - 595*d**2 + 64*d + 132 = 0. What is d?
-1, 2/5, 66
Suppose 5*o**4 - 35*o**3 + 70*o**2 - 40*o = 0. What is o?
0, 1, 2, 4
Find g such that -g**2/8 - 13*g/8 + 7/4 = 0.
-14, 1
What is c in 2*c**5/5 + 6*c**4/5 - 68*c**3/5 - 76*c**2/5 + 66*c/5 + 14 = 0?
-7, -1, 1, 5
Determine f, given that 5*f**4 + 40*f**3 - 45*f**2 = 0.
-9, 0, 1
Determine k, given that -3*k**3 + 14454*k**2 - 23213124*k + 12426759048 = 0.
1606
Solve 1444*a**3 - 6308*a**2 + 8865*a - 4050 = 0 for a.
45/38, 2
Solve -3*x**3 + 48*x**2 - 219*x + 270 = 0.
2, 5, 9
Factor 8*r**2 + 180*r - 92.
4*(r + 23)*(2*r - 1)
Factor 3*r**4 + 9*r**3 - 54*r**2 - 120*r.
3*r*(r - 4)*(r + 2)*(r + 5)
Factor g**4/3 + 2*g**3/3 - 8*g**2/3.
g**2*(g - 2)*(g + 4)/3
Solve -2*s**5 + 6*s**4 + 4*s**3 - 12*s**2 - 2*s + 6 = 0.
-1, 1, 3
Factor 4*x**3 + 156*x**2 - 324*x + 164.
4*(x - 1)**2*(x + 41)
Solve 3*o**4/4 - 333*o**3/4 + 3384*o**2 - 59136*o + 368640 = 0.
15, 32
Find s, given that 4*s**3 + 64*s**2 - 16*s - 256 = 0.
-16, -2, 2
Factor 8836*n**2 - 8460*n + 2025.
(94*n - 45)**2
Factor -15*h**2 + 77*h - 10.
-(h - 5)*(15*h - 2)
Factor 5*h**2 - 1500*h - 3020.
5*(h - 302)*(h + 2)
Factor n**2 - 70*n - 219.
(n - 73)*(n + 3)
Find c, given that 2*c**5/3 + 20*c**4/3 + 32*c**3/3 - 4*c**2/3 - 34*c/3 - 16/3 = 0.
-8, -1, 1
Find k, given that -2*k**4 + 30*k**3 + 102*k**2 + 106*k + 36 = 0.
-1, 18
Factor -3*c**4 + 30*c**3 - 99*c**2 + 108*c.
-3*c*(c - 4)*(c - 3)**2
Solve -i**2/7 - 145*i/7 - 834/7 = 0.
-139, -6
Let -3*s**3 - 3*s**2 + 42*s + 72 = 0. Calculate s.
-3, -2, 4
Factor -2*z**4/13 + 22*z**3/13 - 72*z**2/13 + 32*z/13 + 128/13.
-2*(z - 4)**3*(z + 1)/13
Suppose 4*u**2 - 44*u - 48 = 0. Calculate u.
-1, 12
Factor y**3/4 - 117*y**2/4 + 391*y/2 - 330.
(y - 110)*(y - 4)*(y - 3)/4
Solve 114*p**4/7 - 50*p**3/7 - 300*p**2/7 - 120*p/7 + 16/7 = 0.
-1, -2/3, 2/19, 2
Factor -4*y**2 + 268*y - 1464.
-4*(y - 61)*(y - 6)
Factor 3*f**4 - 108*f**3 + 204*f**2.
3*f**2*(f - 34)*(f - 2)
Factor -5*s**2 + 4520*s - 4515.
-5*(s - 903)*(s - 1)
Find b such that -2*b**2/5 - 256*b/5 - 8192/5 = 0.
-64
Factor -n**3/4 + 3*n**2/2 - 11*n/4 + 3/2.
-(n - 3)*(n - 2)*(n - 1)/4
Factor -d**2/3 - 53*d/3 + 18.
-(d - 1)*(d + 54)/3
Suppose 2*u**4/7 + 16*u**3/7 - 92*u**2/7 - 256*u/7 + 330/7 = 0. Calculate u.
-11, -3, 1, 5
Find d, given that 2*d**4/17 - 4*d**3/17 - 18*d**2/17 + 36*d/17 = 0.
-3, 0, 2, 3
Factor 8*j**2/5 - 2*j/5 - 2.
2*(j + 1)*(4*j - 5)/5
Factor -2*r**4 + 6*r**3 + 2*r**2 - 6*r.
-2*r*(r - 3)*(r - 1)*(r + 1)
Factor -2*i**2/3 - 32*i/3 + 34/3.
-2*(i - 1)*(i + 17)/3
Suppose -5*f**5 + 55*f**4 - 90*f**3 = 0. What is f?
0, 2, 9
Factor 2*a**4/5 - 8*a**3/5 - 6*a**2/5 + 4*a + 16/5.
2*(a - 4)*(a - 2)*(a + 1)**2/5
Solve 2*c**3/11 - 60*c**2/11 + 262*c/11 - 300/11 = 0 for c.
2, 3, 25
Factor j**4 - 830*j**3 + 172225*j**2.
j**2*(j - 415)**2
Find l, given that -l**5/5 - 3*l**4 - 62*l**3/5 - 34*l**2/5 + 63*l/5 + 49/5 = 0.
-7, -1, 1
Determine o so that 18*o**3 - 778*o**2 + 928*o - 168 = 0.
2/9, 1, 42
Factor -v**3/5 + 101*v**2/5 - 391*v/5 + 291/5.
-(v - 97)*(v - 3)*(v - 1)/5
Determine q so that -343*q**5/9 + 1715*q**4/3 + 11683*q**3/9 - 313*q**2/9 - 248*q/3 - 68/9 = 0.
-2, -1/7, 2/7, 17
Let 3*z**3/7 + 3*z**2 + 48*z/7 + 36/7 = 0. Calculate z.
-3, -2
Let -4*a**4/7 + 4*a**3 - 20*a**2/7 - 4*a + 24/7 = 0. What is a?
-1, 1, 6
Suppose -2*r**5/11 + 46*r**4/11 - 326*r**3/11 + 722*r**2/11 - 640*r/11 + 200/11 = 0. What is r?
1, 10
Solve -4*c**5 + 24*c**4 - 12*c**3 - 40*c**2 = 0 for c.
-1, 0, 2, 5
Determine w, given that -5*w**4 + 555*w**3 - 15120*w**2 - 15680*w = 0.
-1, 0, 56
Factor -5*b**4 + 40*b**3 + 5*b**2 - 40*b.
-5*b*(b - 8)*(b - 1)*(b + 1)
Factor -2*t**3/9 - 139*t**2/9 + 659*t/9 - 518/9.
-(t - 1)*(t + 74)*(2*t - 7)/9
Factor -2*q**2/15 + 1268*q/3 - 1004890/3.
-2*(q - 1585)**2/15
Solve -2*k**4/11 - 1172*k**3/11 - 174026*k**2/11 - 682104*k/11 - 677448/11 = 0.
-291, -2
Factor 2*j**2/9 + 2*j - 140/9.
2*(j - 5)*(j + 14)/9
Solve -4*y**2 - 2*y + 12 = 0.
-2, 3/2
Factor -5*v**4 + 135*v**3 - 760*v**2.
-5*v**2*(v - 19)*(v - 8)
Find t, given that 220*t**4/7 + 122*t**3/7 - 34*t**2/7 - 20*t/7 = 0.
-1/2, -5/11, 0, 2/5
Factor 4*z**4/3 + 56*z**3/3 - 764*z**2/3 - 2240*z + 19200.
4*(z - 8)**2*(z + 15)**2/3
Let 8*m**4/5 + 14*m**3/5 + 4*m**2/5 - 2*m/5 = 0. What is m?
-1, 0, 1/4
Determine m, given that 5*m**4 + 16*m**3/3 - m**2/3 - 2*m/3 = 0.
-1, -2/5, 0, 1/3
Find p, given that -p**2 + 25 = 0.
-5, 5
Find g such that g**4/3 + 532*g**3/3 + 2116*g**2/3 + 704*g = 0.
-528, -2, 0
Suppose 6*n**4/7 + 4*n**3/7 - 16*n**2/7 = 0. Calculate n.
-2, 0, 4/3
Factor -2*a**3/5 + 4*a**2/5 + 16*a/5.
-2*a*(a - 4)*(a + 2)/5
Factor i**3 + 51*i**2 + 50*i.
i*(i + 1)*(i + 50)
Let -3*c**3 + 453*c**2 - 1776*c + 1764 = 0. What is c?
2, 147
Factor 3*x**2 - 636*x + 9945.
3*(x - 195)*(x - 17)
Suppose -j**2/5 - 23*j/5 - 12 = 0. What is j?
-20, -3
Suppose f**3 + 84*f**2 + 740*f = 0. Calculate f.
-74, -10, 0
Determine x, given that 4*x**2 + 1416*x - 1420 = 0.
-355, 1
Let -2*u**2 + 270*u = 0. What is u?
0, 135
Factor f**3/9 + 463*f**2/9 + 54280*f/9 + 52900/3.
(f + 3)*(f + 230)**2/9
Find v suc