, -2/47, 0
Factor -2*f**5 + 18*f**4.
-2*f**4*(f - 9)
Determine b, given that -6*b**5/11 + 16*b**4/11 + 114*b**3/11 + 60*b**2/11 - 136*b/11 - 48/11 = 0.
-2, -1/3, 1, 6
What is k in k**5/3 + k**4 - 12*k**3 - 76*k**2/3 + 96*k + 192 = 0?
-6, -3, -2, 4
Factor 2*f**4 - 128*f**3 - 8*f**2 + 512*f.
2*f*(f - 64)*(f - 2)*(f + 2)
Let -3*v**2/5 + 7344*v/5 - 4494528/5 = 0. Calculate v.
1224
Factor 3*b**2 - 12*b.
3*b*(b - 4)
Let -2*b**2 + 14268*b - 25446978 = 0. What is b?
3567
Factor -2*y**2/7 - 372*y/7 - 17298/7.
-2*(y + 93)**2/7
Factor p**3/6 + 289*p**2/3 + 41470*p/3 - 84100/3.
(p - 2)*(p + 290)**2/6
Factor 8*m**3 + 12*m**2 + 4*m.
4*m*(m + 1)*(2*m + 1)
Factor -w**4/5 - 54*w**3/5 + 11*w**2.
-w**2*(w - 1)*(w + 55)/5
Factor -q**2/2 - 61*q/2 + 31.
-(q - 1)*(q + 62)/2
Suppose 12*k**4 + 14*k**3 - 10*k**2 - 14*k - 2 = 0. What is k?
-1, -1/6, 1
Let y**4/6 - 3*y**3/2 + 7*y**2/6 + 3*y/2 - 4/3 = 0. Calculate y.
-1, 1, 8
Determine a, given that a**4/9 + 8*a**3 + 70*a**2/3 + 208*a/9 + 23/3 = 0.
-69, -1
Factor -2*r**3 + 16*r**2 + 224*r + 512.
-2*(r - 16)*(r + 4)**2
Determine g, given that -5*g**2 + 165*g + 2150 = 0.
-10, 43
Determine i so that -2*i**3/5 + 884*i**2/5 + 7168*i/5 + 2880 = 0.
-4, 450
Factor -55*p**2 + 870*p + 160.
-5*(p - 16)*(11*p + 2)
Determine q so that 4*q**4 + 12*q**3 - 12*q**2 - 44*q - 24 = 0.
-3, -1, 2
Determine o, given that -45*o**5/4 - 38*o**4 - 18*o**3 + 24*o**2 - 4*o = 0.
-2, 0, 2/9, 2/5
Factor -5*m**4 - 25*m**3 - 30*m**2.
-5*m**2*(m + 2)*(m + 3)
Find y, given that 2*y**4/7 - 90*y**3/7 - 84*y**2 - 1208*y/7 - 816/7 = 0.
-2, 51
Solve 52*a**3/3 - 36*a**2 + 20*a - 4/3 = 0.
1/13, 1
Suppose -3*w**3/5 + 279*w**2/5 - 5037*w/5 + 4761/5 = 0. Calculate w.
1, 23, 69
Factor -o**2/2 - 114*o - 1971/2.
-(o + 9)*(o + 219)/2
Solve 10*q**5 + 55*q**4 + 85*q**3 + 30*q**2 = 0 for q.
-3, -2, -1/2, 0
Factor 5*i**4 + 12170*i**3 + 12165*i**2.
5*i**2*(i + 1)*(i + 2433)
Factor 3*b**3/7 + 3*b**2/7 - 15*b/7 + 9/7.
3*(b - 1)**2*(b + 3)/7
Factor p**2 + 99*p + 558.
(p + 6)*(p + 93)
Solve -44*h**3 + 52*h**2 + 80*h - 16 = 0.
-1, 2/11, 2
Factor -i**3/8 + 25*i**2/8 - 21*i + 18.
-(i - 12)**2*(i - 1)/8
Factor 12*s**2/5 + 849*s/5 - 213/5.
3*(s + 71)*(4*s - 1)/5
Determine a, given that a**3 + 30*a**2 + 300*a + 1000 = 0.
-10
Find w such that -w**2 + 1452*w - 527076 = 0.
726
Find n such that n**3/3 + 13*n**2/3 - 14*n/3 = 0.
-14, 0, 1
Determine n, given that 5*n**2 - 175*n = 0.
0, 35
Solve -1323*h**2 - 126*h - 3 = 0.
-1/21
Suppose -7*m**2/11 + 8*m/11 + 12/11 = 0. Calculate m.
-6/7, 2
Let p**2/2 + p/2 - 6 = 0. What is p?
-4, 3
Factor -3*w**4 + 15*w**3 - 12*w**2.
-3*w**2*(w - 4)*(w - 1)
Factor -5*d**2 + 1420*d - 100820.
-5*(d - 142)**2
Factor 2*d**2/15 + 884*d/15 + 97682/15.
2*(d + 221)**2/15
Factor -11*u**3/4 + 13*u**2/4 - u/2.
-u*(u - 1)*(11*u - 2)/4
Factor b**2 + 247*b - 498.
(b - 2)*(b + 249)
Find t such that 9*t**5 + 114*t**4 - 44*t**3 - 66*t**2 - 13*t = 0.
-13, -1/3, 0, 1
Solve -30*w**5 - 27*w**4 + 72*w**3 + 3*w**2 - 18*w = 0.
-2, -1/2, 0, 3/5, 1
Suppose 3*v**2/7 + 39*v/7 = 0. What is v?
-13, 0
Factor -4*q**3/11 - 438*q**2/11 + 20*q.
-2*q*(q + 110)*(2*q - 1)/11
Suppose 5*l**4 + 415*l**3 - 14560*l**2 + 108780*l = 0. Calculate l.
-111, 0, 14
Factor -12*h**2 + 52*h - 40.
-4*(h - 1)*(3*h - 10)
Let 5*w**2 - 5*w - 30 = 0. Calculate w.
-2, 3
Factor -c**3 - 9*c**2 + 66*c - 56.
-(c - 4)*(c - 1)*(c + 14)
Find f such that -20*f**3 + 148*f**2 - 304*f + 176 = 0.
1, 2, 22/5
Factor 4*b**4/3 - 200*b**3/3 - 884*b**2/3 + 360*b.
4*b*(b - 54)*(b - 1)*(b + 5)/3
Factor 3*i**2 + 105*i + 198.
3*(i + 2)*(i + 33)
Let -2*w**3 - 12*w**2 + 2*w + 60 = 0. Calculate w.
-5, -3, 2
Find x, given that x**4/3 - 16*x**3/3 - 37*x**2/3 + 16*x/3 + 12 = 0.
-2, -1, 1, 18
Factor -g**2/2 - 19*g/2 - 17.
-(g + 2)*(g + 17)/2
Suppose -a**4/4 + 95*a**3/2 - 561*a**2/4 = 0. What is a?
0, 3, 187
Let -q**5/5 + 12*q**4/5 + 76*q**3/5 - 32*q**2 - 576*q/5 + 1024/5 = 0. What is q?
-4, 2, 16
Factor 2*j**3 + 3490*j**2.
2*j**2*(j + 1745)
Let 21*w**3/2 - 13*w**2/2 + w = 0. What is w?
0, 2/7, 1/3
Solve -7*h**5/2 - 43*h**4 - 325*h**3/2 - 253*h**2 - 158*h - 28 = 0 for h.
-7, -2, -1, -2/7
Let -15*f**4/2 + 1023*f**3 - 4851*f**2/2 + 1812*f - 402 = 0. What is f?
2/5, 1, 134
Determine h so that -9*h**3 - 16*h**2 + 4*h = 0.
-2, 0, 2/9
Solve -10*t**4/11 - 246*t**3/11 - 360*t**2/11 + 184*t/11 = 0 for t.
-23, -2, 0, 2/5
Factor -72*y**3/7 - 39504*y**2/7 + 1882*y - 1098/7.
-2*(y + 549)*(6*y - 1)**2/7
Factor -5*t**4 - 45*t**3 - 30*t**2 + 80*t.
-5*t*(t - 1)*(t + 2)*(t + 8)
Factor -b**3 + 44*b**2 - 125*b + 82.
-(b - 41)*(b - 2)*(b - 1)
Factor -4*o**3/7 + 208*o**2/7 - 3072*o/7 + 9216/7.
-4*(o - 24)**2*(o - 4)/7
Determine y, given that 2*y**3 - 46*y**2 + 112*y + 160 = 0.
-1, 4, 20
Solve 2*q**3/9 + 128*q**2/3 + 410*q + 9100/9 = 0.
-182, -5
Factor 3*z**2 - 1053*z.
3*z*(z - 351)
Factor 5*z**3/3 - 15*z**2 - 20*z/3 + 60.
5*(z - 9)*(z - 2)*(z + 2)/3
Suppose -n**2 + 23*n + 24 = 0. Calculate n.
-1, 24
Factor 2*c**2/15 + 14*c/15 + 8/5.
2*(c + 3)*(c + 4)/15
Let -2058*i**3/11 + 1372*i**2/11 - 280*i/11 + 16/11 = 0. Calculate i.
2/21, 2/7
Solve 2*n**5/11 + 32*n**4/11 + 122*n**3/11 - 100*n**2/11 - 448*n/11 - 256/11 = 0 for n.
-8, -1, 2
Factor -5*s**4/4 - 355*s**3/4 + 770*s**2 - 1580*s.
-5*s*(s - 4)**2*(s + 79)/4
Suppose 2*v**3/7 - 1054*v**2/7 + 139390*v/7 - 138338/7 = 0. What is v?
1, 263
Let -25*s**3/3 - 265*s**2 - 208*s - 124/3 = 0. What is s?
-31, -2/5
What is w in 375*w**4/4 - 6525*w**3/4 + 37845*w**2/4 - 73167*w/4 = 0?
0, 29/5
Find h, given that h**5/4 + 5*h**4/2 + 8*h**3 + 8*h**2 = 0.
-4, -2, 0
Factor 3*x**2/2 - 615*x + 3663/2.
3*(x - 407)*(x - 3)/2
Find r, given that r**5/2 + 89*r**4/2 + 967*r**3 - 1057*r**2 - 1935*r/2 + 2025/2 = 0.
-45, -1, 1
Let 2*h**2 + 32*h + 78 = 0. What is h?
-13, -3
Determine t, given that -50*t**2/17 - 1840*t/17 - 16928/17 = 0.
-92/5
Factor -3*f**3 + 39*f**2 - 78*f - 120.
-3*(f - 10)*(f - 4)*(f + 1)
Factor 3*k**5 - 12*k**4 + 12*k**3 + 6*k**2 - 15*k + 6.
3*(k - 2)*(k - 1)**3*(k + 1)
What is b in 2*b**3 - 66*b**2 + 288*b - 224 = 0?
1, 4, 28
Factor -23*u**3/4 + 33*u**2/4 - 5*u/2.
-u*(u - 1)*(23*u - 10)/4
Factor -y**2/6 + 15*y/2 + 182/3.
-(y - 52)*(y + 7)/6
Factor 5*z**4 + 40*z**3 + 30*z**2 - 40*z - 35.
5*(z - 1)*(z + 1)**2*(z + 7)
What is x in 12*x**4 - 2265*x**3 + 10521*x**2 - 6060*x - 2208 = 0?
-1/4, 1, 4, 184
Factor c**2/3 - 2606*c/3 + 1697809/3.
(c - 1303)**2/3
Factor -3*u**5 + 1281*u**4 - 138657*u**3 + 408315*u**2 - 405768*u + 134832.
-3*(u - 212)**2*(u - 1)**3
Let 1445*p**5 - 6885*p**4 - 20465*p**3 - 14635*p**2 - 2640*p - 140 = 0. What is p?
-1, -2/17, 7
Factor c**4/4 + 5*c**3/2 - 49*c**2/4 - 65*c/2.
c*(c - 5)*(c + 2)*(c + 13)/4
Let -3*q**4 - 840*q**3 + 1689*q**2 - 846*q = 0. Calculate q.
-282, 0, 1
Determine u so that -3*u**3 - 27*u**2 - 24*u = 0.
-8, -1, 0
Factor -3*q**4 + 36*q**3 - 111*q**2 + 126*q - 48.
-3*(q - 8)*(q - 2)*(q - 1)**2
Factor 3*k**2/5 + 288*k - 1443/5.
3*(k - 1)*(k + 481)/5
Determine x so that -4*x**5 - 340*x**4 - 3836*x**3 - 6668*x**2 - 3168*x = 0.
-72, -11, -1, 0
Determine r, given that -5*r**5 - 55*r**4 - 190*r**3 - 260*r**2 - 120*r = 0.
-6, -2, -1, 0
Suppose -3*u**4/5 - 12*u**3 - 156*u**2/5 + 288*u - 1728/5 = 0. Calculate u.
-12, 2
Find u, given that u**4/4 + 3*u**3/2 - 75*u**2/4 + 49*u - 39 = 0.
-13, 2, 3
Factor 5*p**4 + 30*p**3 - 15*p**2 - 100*p - 60.
5*(p - 2)*(p + 1)**2*(p + 6)
Factor i**2/3 - 4*i + 20/3.
(i - 10)*(i - 2)/3
Factor -10*t**2 - 95*t/4 + 135/4.
-5*(t - 1)*(8*t + 27)/4
Factor -c**5 + 32*c**3 - 256*c.
-c*(c - 4)**2*(c + 4)**2
Let 21*k**3 + 792*k**2 - 2811*k + 738 = 0. Calculate k.
-41, 2/7, 3
Solve 2*v**5 - 36*v**3 - 64*v**2 - 30*v = 0.
-3, -1, 0, 5
Factor -2*v**2/7 - 376*v/7 - 17672/7.
-2*(v + 94)**2/7
Factor -3*m**4/4 - 135*m**3/4 - 468*m**2 - 1344*m + 9216.
-3*(m - 3)*(m + 16)**3/4
Factor 27*g**3 + 6*g**2 - 93*g + 60.
3*(g - 1)**2*(9*g + 20)
Let -54*h**3 + 4154*h**2/11 - 5912*h/11 - 40/11 = 0. Calculate h.
-2/297, 2, 5
Determine h, given that -2*h**2/5 - 22*h/5 - 56/5 = 0.
-7, -4
What is q in 1362*q**2 + 2*q = 0?
-1/681, 0
Suppose 2*n**5 + 184*n**4 - 382*n**3 - 548*n**2 + 1496*n - 752 = 0. What is n?
-94, -2, 1, 2
Factor -5*u**5 + 20*u**4 + 295*u**3 + 890*u**2 + 1060*u + 440.
-5*(u - 11)*(u + 1)*(u + 2)**3
Suppose -5*g**3 - 130*g**2 - 700*g + 1960 = 0. What is g?
-14, 2
Factor -10*d**3/7 + 1922*d**2