*j**5 + 20*j**4 + 12*j**3 - 36*j**2.
4*j**2*(j - 1)*(j + 3)**2
Factor 6*u**4 + 285*u**3 + 3312*u**2 - 1728*u.
3*u*(u + 24)**2*(2*u - 1)
Factor 3*x**3/4 + 87*x**2/4 + 165*x/4 + 81/4.
3*(x + 1)**2*(x + 27)/4
What is u in 2*u**3/5 + 3018*u**2/5 + 1143054*u/5 + 3402054/5 = 0?
-753, -3
Find n such that -4*n**3 + 84*n**2 - 156*n - 3380 = 0.
-5, 13
Factor 5*b**2/6 - 7*b/6 - 2.
(b + 1)*(5*b - 12)/6
Factor 2*d**3/7 - 6*d**2/7 - 36*d/7.
2*d*(d - 6)*(d + 3)/7
Factor 5*w**5 + 20*w**4 - 195*w**3 + 270*w**2.
5*w**2*(w - 3)*(w - 2)*(w + 9)
Factor -5*u**2 - 25*u + 420.
-5*(u - 7)*(u + 12)
Factor -4*m**3/3 - 68*m**2/3 - 84*m + 108.
-4*(m - 1)*(m + 9)**2/3
Solve -v**2 + 26*v - 69 = 0 for v.
3, 23
Solve -c**4/2 + 173*c**3/2 + 175*c**2/2 - 173*c/2 - 87 = 0.
-1, 1, 174
Factor -o**3 - 16*o**2/3 + 103*o/3 + 12.
-(o - 4)*(o + 9)*(3*o + 1)/3
Let c**4 + 479*c**3 - 480*c**2 = 0. Calculate c.
-480, 0, 1
Factor -2*r**2/7 - 40*r/7 - 38/7.
-2*(r + 1)*(r + 19)/7
Factor -y**4/4 + y**3/2 + 7*y**2/4 - 5*y + 3.
-(y - 2)**2*(y - 1)*(y + 3)/4
Factor -x**5 - 11*x**4 - 34*x**3 - 46*x**2 - 29*x - 7.
-(x + 1)**4*(x + 7)
Determine w so that -w**3 + 60*w**2 + 187*w + 126 = 0.
-2, -1, 63
Find q such that -90738*q**2/5 - 852*q/5 - 2/5 = 0.
-1/213
Factor 2*o**3 + 82*o**2 + 652*o + 992.
2*(o + 2)*(o + 8)*(o + 31)
Let m**3 - 367*m**2 + 2166*m = 0. Calculate m.
0, 6, 361
Suppose -2*m**3/5 - 22*m**2/5 + 2*m/5 + 22/5 = 0. What is m?
-11, -1, 1
Factor -2*z**3/13 - 94*z**2/13 + 40*z.
-2*z*(z - 5)*(z + 52)/13
Suppose 36*h**2/11 - 42*h/11 + 6/11 = 0. What is h?
1/6, 1
Factor i**2/5 + 92*i/5 + 2116/5.
(i + 46)**2/5
Factor -i**3/7 - 15*i**2/7 + 33*i/7 + 121.
-(i - 7)*(i + 11)**2/7
Factor 2*l**3/11 - 30*l**2/11 + 46*l/11 + 78/11.
2*(l - 13)*(l - 3)*(l + 1)/11
Let 4*b**3 + 88*b**2 - 400*b + 416 = 0. What is b?
-26, 2
Find t such that 4*t**5/7 + 64*t**4/7 - 340*t**3/7 - 400*t**2/7 = 0.
-20, -1, 0, 5
Let -12*j**4 - 21*j**3 + 57*j**2 + 21*j - 45 = 0. Calculate j.
-3, -1, 1, 5/4
Find m such that -m**3 - 36*m**2 - 101*m - 66 = 0.
-33, -2, -1
Factor -3*g**5/8 - 9*g**4/4 - 15*g**3/8.
-3*g**3*(g + 1)*(g + 5)/8
Determine t, given that -57*t**5/5 + 33*t**4 - 96*t**3/5 - 12*t**2/5 = 0.
-2/19, 0, 1, 2
Factor r**4/7 - 500*r**3/7 + 93750*r**2/7 - 7812500*r/7 + 244140625/7.
(r - 125)**4/7
Let i**4/4 + 83*i**3/2 + 2310*i**2 + 87725*i/2 + 166375/4 = 0. What is i?
-55, -1
What is x in 21*x**2/8 + 15*x/8 - 9/2 = 0?
-12/7, 1
Factor 5*h**4 - 30*h**3 + 20*h**2 + 30*h - 25.
5*(h - 5)*(h - 1)**2*(h + 1)
Suppose 63*d**5 - 39*d**4 - 407*d**3 - 141*d**2 + 32*d + 12 = 0. What is d?
-2, -1/3, 2/7, 3
What is p in p**2/3 - 656*p/3 + 653 = 0?
3, 653
Determine o, given that -2*o**2/17 - 698*o/17 = 0.
-349, 0
Suppose -g**5 + g**4 + 6*g**3 - 4*g**2 - 8*g = 0. What is g?
-2, -1, 0, 2
Factor 2*b**2/7 + 1632*b/7 + 332928/7.
2*(b + 408)**2/7
Find d, given that 4*d**5 + 88*d**4 + 64*d**3 - 408*d**2 + 252*d = 0.
-21, -3, 0, 1
Determine g so that -2*g**3 - 26*g**2 + 28*g = 0.
-14, 0, 1
Factor -4*c**4 + 28*c**3 - 28*c**2 - 60*c.
-4*c*(c - 5)*(c - 3)*(c + 1)
Let 3*m**4/5 + 3*m**3 - 3*m**2/5 - 3*m = 0. What is m?
-5, -1, 0, 1
Suppose d**5/6 + 5*d**4/6 - 4*d**3/3 - 38*d**2/3 - 64*d/3 - 32/3 = 0. What is d?
-4, -2, -1, 4
Factor 2*l**2/13 + 76*l/13 - 6.
2*(l - 1)*(l + 39)/13
Factor -4*f**5 + 32*f**4 - 28*f**3.
-4*f**3*(f - 7)*(f - 1)
What is k in -2*k**5/13 + 2*k**4 + 74*k**3/13 - 218*k**2/13 + 120*k/13 = 0?
-4, 0, 1, 15
Factor n**5/2 - 7*n**4/2 - 5*n**3 + 38*n**2 + 60*n.
n*(n - 6)*(n - 5)*(n + 2)**2/2
Let -5*c**2 + 2845*c - 2840 = 0. What is c?
1, 568
Find q such that -3*q**2/7 + 27*q/7 - 60/7 = 0.
4, 5
Suppose 32*o**4/9 + 16*o**3/9 - 10*o**2/3 - 16*o/9 - 2/9 = 0. What is o?
-1, -1/4, 1
Factor -z**3/6 - 7*z**2/3 - 25*z/6 - 2.
-(z + 1)**2*(z + 12)/6
Factor 2*d**3/11 + 70*d**2/11 - 8*d/11 - 280/11.
2*(d - 2)*(d + 2)*(d + 35)/11
Factor 3*m**2/2 + 66*m - 135/2.
3*(m - 1)*(m + 45)/2
Determine u, given that u**5/4 + u**4/2 - u**2/2 - u/4 = 0.
-1, 0, 1
Factor 3*s**3 + 48*s**2 + 231*s + 294.
3*(s + 2)*(s + 7)**2
Solve 3*r**3/8 + 249*r**2/8 + 5289*r/8 + 5043/8 = 0.
-41, -1
Let -2*p**5/11 - 4*p**4/11 + 70*p**3/11 - 184*p**2/11 + 184*p/11 - 64/11 = 0. Calculate p.
-8, 1, 2
Let 2*o**5/17 - 46*o**3/17 + 132*o**2/17 - 8*o + 48/17 = 0. Calculate o.
-6, 1, 2
Factor -25*p**2 + 4410*p - 1760.
-5*(p - 176)*(5*p - 2)
Find q, given that 8*q**4 + 574*q**3 + 424*q**2 - 142*q = 0.
-71, -1, 0, 1/4
Determine m so that -m**2/4 - 2308*m - 5326864 = 0.
-4616
Find z, given that z**4 + 3*z**3 + z**2 - 3*z - 2 = 0.
-2, -1, 1
Let 15*a**3 - 235*a**2 + 540*a - 260 = 0. What is a?
2/3, 2, 13
Find y such that y**2 - 32*y - 144 = 0.
-4, 36
Determine s, given that 3*s**5 + 192*s**4 - 603*s**3 + 12*s**2 + 804*s = 0.
-67, -1, 0, 2
Factor 5*n**3 - 16655*n**2 + 13877775*n - 13861125.
5*(n - 1665)**2*(n - 1)
Factor -3*u**5/2 + 75*u**4 - 2595*u**3/2 + 8520*u**2 - 13440*u + 6144.
-3*(u - 16)**3*(u - 1)**2/2
Factor 3*n**2/7 - 78*n/7 + 57.
3*(n - 19)*(n - 7)/7
Find r such that 2*r**4 + 12*r**3 = 0.
-6, 0
Factor -4*c**2/5 - 96*c/5 - 176/5.
-4*(c + 2)*(c + 22)/5
Solve 4*y**2 - 4*y - 224 = 0.
-7, 8
What is j in -4*j**3/9 + 10*j**2/9 - 2*j/9 - 4/9 = 0?
-1/2, 1, 2
Suppose 3*k**2/4 - 16245*k/2 + 87966675/4 = 0. What is k?
5415
Let t**4/7 - 9*t**3/7 + 22*t**2/7 - 32/7 = 0. Calculate t.
-1, 2, 4
Solve 2*n**3/3 - 22*n**2/3 - 272*n/3 - 608/3 = 0.
-4, 19
Suppose -3*q**5 - 27*q**4 = 0. Calculate q.
-9, 0
Let i**3 - 3*i**2 - 16*i - 12 = 0. Calculate i.
-2, -1, 6
Factor 4*p**5 + 32*p**4 + 100*p**3 + 152*p**2 + 112*p + 32.
4*(p + 1)**2*(p + 2)**3
Let 3*x**4 - 135*x**3 - 423*x**2 - 429*x - 144 = 0. Calculate x.
-1, 48
Factor 21*j**4 - 141*j**3 + 273*j**2 - 99*j - 54.
3*(j - 3)**2*(j - 1)*(7*j + 2)
Factor -21*m**3/4 - 57*m**2/4 - 6*m + 3.
-3*(m + 1)*(m + 2)*(7*m - 2)/4
Determine s so that 3*s**2/7 - 141*s/7 - 162 = 0.
-7, 54
Find q, given that q**5 + 17*q**4/5 - 9*q**3/5 - 41*q**2/5 + 16*q/5 + 12/5 = 0.
-3, -2, -2/5, 1
Suppose -2*h**3/7 - 16*h**2/7 - 18*h/7 + 36/7 = 0. Calculate h.
-6, -3, 1
Determine l so that -9*l**4 + 7*l**3 + 146*l**2 + 212*l + 40 = 0.
-2, -2/9, 5
Factor -38*b**2/7 - 48*b/7.
-2*b*(19*b + 24)/7
Let -10*c**3 + 5*c**2 + 40*c - 20 = 0. Calculate c.
-2, 1/2, 2
Factor -v**2/2 - 17*v - 289/2.
-(v + 17)**2/2
Factor -4*m**4 - 1564*m**3 + 1568*m**2.
-4*m**2*(m - 1)*(m + 392)
Factor -5829*o**2/7 + 5835*o/7 - 6/7.
-3*(o - 1)*(1943*o - 2)/7
Factor t**4/6 - 14*t**3 + 1763*t**2/6 + 14*t - 294.
(t - 42)**2*(t - 1)*(t + 1)/6
Suppose -3*o**5 - 36*o**4 - 162*o**3 - 324*o**2 - 243*o = 0. Calculate o.
-3, 0
Determine w so that -w**5/5 - 2*w**4 - 17*w**3/5 - 8*w**2/5 = 0.
-8, -1, 0
Factor -j**3/3 + 76*j**2/3 + 79*j/3 - 154/3.
-(j - 77)*(j - 1)*(j + 2)/3
Factor -2*z**3/11 - 10*z**2/11 + 16*z/11 + 96/11.
-2*(z - 3)*(z + 4)**2/11
Suppose 5*r**4 - 15*r**3 + 10*r**2 = 0. What is r?
0, 1, 2
Let -2*r**4/3 + 16*r**2/3 - 32/3 = 0. Calculate r.
-2, 2
Let -3*a**5 + 12*a**4 + 39*a**3 - 120*a**2 - 144*a = 0. Calculate a.
-3, -1, 0, 4
Find f such that -3*f**3/7 + 795*f**2/7 - 1581*f/7 + 789/7 = 0.
1, 263
What is h in -2*h**5/5 + 2*h**4/5 + 46*h**3/5 + 78*h**2/5 + 36*h/5 = 0?
-3, -1, 0, 6
Factor -3*v**2 - 465*v - 918.
-3*(v + 2)*(v + 153)
Solve -2*o**2 + 190*o + 588 = 0 for o.
-3, 98
Let 4*i**2/3 + 16*i/3 + 4 = 0. What is i?
-3, -1
Factor 3*o**2/4 + 201*o/4 + 195/2.
3*(o + 2)*(o + 65)/4
Suppose 3*s**2/4 - 21*s/4 + 9/2 = 0. What is s?
1, 6
Factor 4*t**3 - 36*t**2 - 480*t - 1088.
4*(t - 17)*(t + 4)**2
Factor 6*w**3/11 - 84*w**2/11 - 6*w/11 + 84/11.
6*(w - 14)*(w - 1)*(w + 1)/11
Let 4*q**3/3 - 16*q**2/3 + 20*q/3 - 8/3 = 0. What is q?
1, 2
Suppose -2*n**5/21 - 26*n**4/21 - 38*n**3/21 + 82*n**2/21 + 184*n/21 + 88/21 = 0. What is n?
-11, -2, -1, 2
Factor -i**2 - 4122*i - 4247721.
-(i + 2061)**2
Factor 2*f**4/17 - 74*f**3/17 + 142*f**2/17 - 70*f/17.
2*f*(f - 35)*(f - 1)**2/17
Factor -32*z**2 - 464*z - 1682.
-2*(4*z + 29)**2
Factor -8*r**2/3 + 298*r/3 - 74/3.
-2*(r - 37)*(4*r - 1)/3
Let 172*g**4 + 3964*g**3 + 3968*g**2 + 176*g = 0. What is g?
-22, -1, -2/43, 0
Solve -5*c**3 - 85*c**2 - 190*c + 280 = 0.
-14, -4, 1
Factor y**3/2 - 287*y**2/2 - 580*y - 582.
(y - 291)*(y + 2)**2/2
Factor 2*g**3 - 2*g**2 - 10*g - 6.
2*(g - 3)*(g + 1)**2
Let -2*k**3/9 - 914*k**2/3 - 417698*k/3 - 190887986/9 = 0. Calculate k.
-457
Factor 980*t**5 + 2100*