+ 6615*k**2 + 46305*k.
5*k*(k + 21)**3
Factor 2*r**3/5 - 8*r**2/5 + 8*r/5.
2*r*(r - 2)**2/5
Solve -5*f**5 + 285*f**4 - 6015*f**3 + 54595*f**2 - 159600*f - 220500 = 0 for f.
-1, 14, 15
Solve -3*x**2 + 345*x + 3750 = 0.
-10, 125
Find d, given that -d**4/5 - 2*d**3/5 + 3*d**2/5 + 4*d/5 - 4/5 = 0.
-2, 1
Factor t**2/2 + t/2 - 3.
(t - 2)*(t + 3)/2
Determine u, given that u**5 + 11*u**4/6 - 3*u**3/2 - 13*u**2/6 + u/2 + 1/3 = 0.
-2, -1, -1/3, 1/2, 1
Factor -b**2/4 - 910*b - 828100.
-(b + 1820)**2/4
Factor 4*t**3 - 840*t**2 + 4124*t - 4920.
4*(t - 205)*(t - 3)*(t - 2)
Suppose -s**5/2 + 2*s**4 + 27*s**3/2 - 17*s**2 - 28*s = 0. What is s?
-4, -1, 0, 2, 7
Let -2*q**5 + 12*q**4 - 16*q**3 = 0. What is q?
0, 2, 4
Factor -d**4/7 + 30*d**3/7 - 276*d**2/7 + 754*d/7 - 507/7.
-(d - 13)**2*(d - 3)*(d - 1)/7
Factor b**3/3 - 436*b**2/3 - 875*b/3 - 146.
(b - 438)*(b + 1)**2/3
Suppose -3*z**3/11 - 28*z**2/11 - 25*z/11 = 0. Calculate z.
-25/3, -1, 0
Find l such that -10*l**4 + 625*l**3/2 - 155*l**2/2 = 0.
0, 1/4, 31
Determine p, given that 2*p**4/3 - 368*p**3/3 + 5996*p**2 - 96832*p/3 + 79210/3 = 0.
1, 5, 89
Factor 3*o**5/4 + 33*o**4/4 + 45*o**3/2.
3*o**3*(o + 5)*(o + 6)/4
Suppose 3*d**5 - 10*d**4 - 8*d**3 = 0. Calculate d.
-2/3, 0, 4
Solve -3*y**2 + 78*y = 0 for y.
0, 26
Let -3*d**5/5 + 36*d**4/5 + 105*d**3 - 1458*d**2 + 10368*d/5 + 18144/5 = 0. What is d?
-14, -1, 3, 12
What is q in 3*q**3 - 57*q**2 + 114*q + 1560 = 0?
-4, 10, 13
Factor 4*t**4 - 76*t**3 + 140*t**2 - 68*t.
4*t*(t - 17)*(t - 1)**2
What is h in -3*h**4/2 + 3*h**3/2 + 9*h**2 = 0?
-2, 0, 3
Factor l**2/2 + 34*l - 69/2.
(l - 1)*(l + 69)/2
Find f, given that 2*f**4/3 + 146*f**3/9 + 892*f**2/9 - 64*f/3 - 320 = 0.
-12, -2, 5/3
Solve -2*x**4/9 + 4*x**3 - 56*x**2/9 - 132*x + 1210/9 = 0 for x.
-5, 1, 11
Factor -2*v**4 + 6*v**3 + 18*v**2 + 10*v.
-2*v*(v - 5)*(v + 1)**2
Find d such that -3*d**4/4 + 15*d**3 + 171*d**2/4 - 222*d + 165 = 0.
-5, 1, 2, 22
Factor -2*y**2 + 3524*y - 1552322.
-2*(y - 881)**2
Let 8*p**2/3 + 4*p - 8/3 = 0. Calculate p.
-2, 1/2
Factor 69*z**2/5 + z/5.
z*(69*z + 1)/5
Solve -4*w**2 - 836*w = 0.
-209, 0
Let -2*f**2/11 - 852*f/11 + 854/11 = 0. Calculate f.
-427, 1
Find c, given that 2*c**5/5 + 8*c**4/5 + 12*c**3/5 + 8*c**2/5 + 2*c/5 = 0.
-1, 0
Factor c**4/4 - 190*c**3 + 1137*c**2/2 - 568*c + 757/4.
(c - 757)*(c - 1)**3/4
Let 5*i**5 - 130*i**4 + 105*i**3 + 520*i**2 - 500*i = 0. What is i?
-2, 0, 1, 2, 25
Factor h**4 - 35*h**3 + 112*h**2 + 372*h.
h*(h - 31)*(h - 6)*(h + 2)
Factor 4*o**4 - 68*o**3 - 12*o**2 + 212*o - 136.
4*(o - 17)*(o - 1)**2*(o + 2)
Factor o**4/3 + 23*o**3/3 + 97*o**2/3 + 43*o + 18.
(o + 1)**2*(o + 3)*(o + 18)/3
Factor 4*g**2 + 44*g.
4*g*(g + 11)
Solve -2*q**5/3 + 28*q**4/3 - 4*q**3 - 1120*q**2/3 + 3038*q/3 + 1372 = 0 for q.
-6, -1, 7
Find u such that -3*u**5/2 + 3*u**4/2 + 15*u**3 - 15*u**2 - 27*u/2 + 27/2 = 0.
-3, -1, 1, 3
Solve 2*k**5 - 12*k**4 + 100*k**2 - 162*k + 72 = 0 for k.
-3, 1, 3, 4
Solve 13*q**3/2 - 246*q**2 - 1130*q - 168 = 0.
-4, -2/13, 42
Factor -h**3/2 - 121*h**2/2 + 61*h.
-h*(h - 1)*(h + 122)/2
Suppose -4*c**5 + 32*c**4 + 220*c**3 - 1400*c**2 - 3456*c + 4608 = 0. What is c?
-6, -3, 1, 8
Find n, given that 4*n**2 - 884*n + 880 = 0.
1, 220
Factor 9*x**4 + 38*x**3 + 53*x**2 + 28*x + 4.
(x + 1)**2*(x + 2)*(9*x + 2)
Factor -2*x**4 + 106*x**3 - 1350*x**2 - 1458*x.
-2*x*(x - 27)**2*(x + 1)
Suppose -3*c**3/2 + 63*c**2/2 - 117*c/2 + 57/2 = 0. What is c?
1, 19
Find j such that -4*j**3/3 + 52*j**2/3 - 48*j = 0.
0, 4, 9
Suppose -3*b**5/4 - 95*b**4/4 - 149*b**3/4 + 35*b**2/4 + 38*b + 15 = 0. Calculate b.
-30, -1, -2/3, 1
Factor -5*y**2 + 310*y - 305.
-5*(y - 61)*(y - 1)
Solve 3*d**5/4 - 3*d**4/4 - 12*d**3 + 12*d**2 = 0 for d.
-4, 0, 1, 4
Factor 3*y**2/8 - 429*y/8 - 441/2.
3*(y - 147)*(y + 4)/8
Solve 3*x**2/7 - 39*x - 846/7 = 0 for x.
-3, 94
Factor -5*n**2 + 11680*n + 11685.
-5*(n - 2337)*(n + 1)
Factor 5*v**5 - 45*v**4 + 130*v**3 - 90*v**2 - 135*v + 135.
5*(v - 3)**3*(v - 1)*(v + 1)
Factor -2*p**2/9 - 604*p/9 + 272.
-2*(p - 4)*(p + 306)/9
Factor 9*q**4/2 + 25*q**3/2 + 6*q**2 - 2*q.
q*(q + 1)*(q + 2)*(9*q - 2)/2
Solve -5*f**2 + 75*f + 630 = 0 for f.
-6, 21
Solve 166*q**3/9 + 812*q**2 + 26840*q/3 + 1936/9 = 0 for q.
-22, -2/83
Factor 2*j**2/3 - 2672*j + 2677344.
2*(j - 2004)**2/3
Determine h so that -3*h**4 + 9*h**3 + 114*h**2 - 576*h + 672 = 0.
-7, 2, 4
Determine y, given that -6*y**5 + 8*y**4 + 4*y**3 - 8*y**2 + 2*y = 0.
-1, 0, 1/3, 1
Factor 15*t**3 - 246*t**2 - 159*t + 102.
3*(t - 17)*(t + 1)*(5*t - 2)
Determine p, given that -5*p**3/3 - 191*p**2 - 300*p + 452/3 = 0.
-113, -2, 2/5
Determine h, given that -14*h**5/13 + 10546*h**4/13 - 1992804*h**3/13 + 2547776*h**2/13 - 565504*h/13 = 0.
0, 2/7, 1, 376
Let -5*f**4 - 25*f**3 + 15*f**2 + 225*f + 270 = 0. What is f?
-3, -2, 3
Find t, given that -63*t**2/5 - 66*t/5 - 3/5 = 0.
-1, -1/21
Find p, given that -p**5/3 + p**3/3 = 0.
-1, 0, 1
Factor -2*s**3 - 266*s**2 - 8976*s - 8712.
-2*(s + 1)*(s + 66)**2
Let -3*p**4 + 399*p**3 = 0. Calculate p.
0, 133
Determine y so that y**5/2 - 45*y**4/2 - 97*y**3/2 + 141*y**2/2 = 0.
-3, 0, 1, 47
Determine o so that 3*o**5 + 294*o**4 + 8838*o**3 + 53340*o**2 - 834225*o + 771750 = 0.
-35, 1, 6
Factor x**2/6 + 43*x/3 - 88/3.
(x - 2)*(x + 88)/6
Factor -189*n**3 + 789*n**2 - 126*n - 24.
-3*(n - 4)*(7*n - 2)*(9*n + 1)
Factor -4*l**4 - 280*l**3 - 3184*l**2 - 12840*l - 17100.
-4*(l + 3)*(l + 5)**2*(l + 57)
Suppose -19*x**2/6 - 4*x/3 = 0. What is x?
-8/19, 0
Suppose -8*o**4/7 - 502*o**3/7 + 18*o**2 = 0. What is o?
-63, 0, 1/4
What is b in b**5 + 313*b**4 + 24647*b**3 + 24023*b**2 - 24648*b - 24336 = 0?
-156, -1, 1
Factor 4*x**2 + 196*x + 1776.
4*(x + 12)*(x + 37)
What is p in -2*p**4 + 8*p**3 - 6*p**2 - 8*p + 8 = 0?
-1, 1, 2
Determine f so that 3*f**2/5 + 12*f/5 - 27 = 0.
-9, 5
What is a in -9*a**5 + 48*a**4 - 49*a**3 + 2*a**2 + 8*a = 0?
-1/3, 0, 2/3, 1, 4
Find d such that -4*d**4 + 180*d**3 - 676*d**2 + 828*d - 328 = 0.
1, 2, 41
Determine n, given that 3*n**2/2 - 435*n/4 + 54 = 0.
1/2, 72
Factor -v**3/3 + 164*v**2 - 26896*v + 4410944/3.
-(v - 164)**3/3
Factor -8*u**4 + 20*u**3 + 36*u**2 - 72*u.
-4*u*(u - 3)*(u + 2)*(2*u - 3)
Let -m**4/3 + 42*m**3 = 0. What is m?
0, 126
Factor -2*z**2/13 + 670*z/13.
-2*z*(z - 335)/13
Suppose 2*m**5/19 - 44*m**4/19 + 40*m**3/19 + 44*m**2/19 - 42*m/19 = 0. What is m?
-1, 0, 1, 21
Determine j so that 2*j**3/7 + 8*j**2/7 - 58*j/7 + 48/7 = 0.
-8, 1, 3
Let y**2/2 - 22*y - 477/2 = 0. Calculate y.
-9, 53
Find j such that -12*j**4/5 - 52*j**3/5 + 8*j**2 = 0.
-5, 0, 2/3
Factor 4*v**2 - 4*v - 80.
4*(v - 5)*(v + 4)
Find r, given that 4*r**3 + 800*r**2 + 38352*r - 166464 = 0.
-102, 4
Solve -6*d**4/5 + 9459*d**3/5 - 3739833*d**2/5 + 9304701*d/5 - 5574321/5 = 0.
1, 3/2, 787
Suppose 10*m**5/7 + 1618*m**4/21 - 2830*m**3/21 - 130*m**2 + 400*m/3 + 1112/21 = 0. Calculate m.
-278/5, -1, -1/3, 1, 2
Factor 2*f**3 + 10*f**2 - 2*f - 10.
2*(f - 1)*(f + 1)*(f + 5)
What is u in -3*u**4 - 141*u**3 - 1719*u**2 - 1311*u + 3174 = 0?
-23, -2, 1
Factor 4*c**2 - 28*c + 24.
4*(c - 6)*(c - 1)
Factor -t**4/3 - 4*t**3 - 29*t**2/3 + 14*t.
-t*(t - 1)*(t + 6)*(t + 7)/3
Suppose -16*h**4/5 + 156*h**3/5 - 102*h**2/5 - 56*h/5 + 18/5 = 0. What is h?
-1/2, 1/4, 1, 9
Factor 2*o**2 - 190*o - 192.
2*(o - 96)*(o + 1)
Factor -x**3 - 15*x**2 - 23*x + 39.
-(x - 1)*(x + 3)*(x + 13)
Factor -4*j**4 - 140*j**3 + 176*j**2 + 1104*j - 1728.
-4*(j - 2)**2*(j + 3)*(j + 36)
Factor -5*j**3 + 2020*j**2 - 2005*j - 4030.
-5*(j - 403)*(j - 2)*(j + 1)
Suppose -3*b**4/5 + 9*b**3/5 + 3*b**2/5 - 9*b/5 = 0. Calculate b.
-1, 0, 1, 3
Find c, given that -26*c**4/5 - 58*c**3/5 + 14*c**2/5 + 58*c/5 + 12/5 = 0.
-2, -1, -3/13, 1
Factor -2*i**2/3 - 1768*i/3 - 1766/3.
-2*(i + 1)*(i + 883)/3
Solve 3*f**5/7 - 216*f**4/7 - 1605*f**3/7 - 4206*f**2/7 - 4716*f/7 - 1896/7 = 0.
-2, -1, 79
Factor 2*n**4 - 52*n**3 + 440*n**2 - 1200*n.
2*n*(n - 10)**2*(n - 6)
Factor -22*o**2/15 + 28*o/5 + 16/15.
-2*(o - 4)*(11*o + 2)/15
Solve -3*v**5/2 - 9*v**4/4 + 3*v**3 + 9*v**2/4 - 3*v/2 = 0 for v.
-2, -1, 0, 1/2, 1
Factor 2*x**3 + 212*x**2 + 816*x.
2*x*(x + 4)*(x + 102)
What is w in -4*w**3/5 + 984*w**2/5 - 80688*w/5 + 2205472/5 = 0?
82
Factor -q**4 + 28*q**3 + 131*q**2 - 78*q - 576.
-(q - 32)*(q - 2)*(q + 3)**2
Factor 36*b**2 + 328*b/3 - 416/3.
4*(b + 4)*(27*b - 26)/3
What is