*3/3 + 26*c**2 - 676*c/9.
2*c*(c - 2)*(c + 13)**2/9
Factor -47*m**3/8 - 91*m**2/8 - 41*m/8 + 3/8.
-(m + 1)**2*(47*m - 3)/8
Factor t**4/8 + 53*t**3/4 + 13*t**2 - 53*t/4 - 105/8.
(t - 1)*(t + 1)**2*(t + 105)/8
Let d**4/2 + 8*d**3 + 21*d**2 + 20*d + 13/2 = 0. Calculate d.
-13, -1
Solve -k**3/7 - 2*k**2/7 = 0 for k.
-2, 0
Suppose 12*k**5 + 57*k**4 - 543*k**3 + 852*k**2 - 180*k = 0. What is k?
-10, 0, 1/4, 2, 3
Factor 4*n**4/3 + 20*n**3/9 + 8*n**2/9.
4*n**2*(n + 1)*(3*n + 2)/9
What is m in -3*m**5/4 - 27*m**4/4 - 21*m**3/2 + 51*m**2/2 + 45*m/4 - 75/4 = 0?
-5, -1, 1
Solve -2*c**2 + 124*c = 0 for c.
0, 62
Find v such that 2*v**2/9 + 232*v/9 - 6394/9 = 0.
-139, 23
Let -16*g**3 - 636*g**2 - 464*g + 156 = 0. What is g?
-39, -1, 1/4
Factor -x**2 - x + 6.
-(x - 2)*(x + 3)
Find u, given that 5*u**2 - 4055*u = 0.
0, 811
Let -3*d**3/5 - d**2/5 + 12*d/5 + 4/5 = 0. What is d?
-2, -1/3, 2
Solve -590*a**4/11 - 1774*a**3/11 + 5298*a**2/11 - 2914*a/11 - 20/11 = 0.
-5, -2/295, 1
Let -3*h**3 + 12*h**2 - 12*h = 0. What is h?
0, 2
Determine s so that 2*s**5 - 2*s**4 - 6*s**3 + 2*s**2 + 4*s = 0.
-1, 0, 1, 2
Factor -2*i**3 - 450*i**2 - 25086*i + 25538.
-2*(i - 1)*(i + 113)**2
Factor c**4/7 + 5*c**3/7 - 31*c**2/7 + 43*c/7 - 18/7.
(c - 2)*(c - 1)**2*(c + 9)/7
Factor -j**3 + 13*j**2 + 64*j + 68.
-(j - 17)*(j + 2)**2
Find q, given that 810*q**5 - 1818*q**4 + 1174*q**3 - 126*q**2 - 48*q + 8 = 0.
-1/5, 2/9, 1
Let -3*j**5 + 57*j**4 - 249*j**3 + 159*j**2 + 468*j = 0. Calculate j.
-1, 0, 3, 4, 13
Determine l so that -95*l**3 + 175*l**2 - 65*l - 15 = 0.
-3/19, 1
Suppose -3*z**2 - 54*z - 51 = 0. What is z?
-17, -1
Solve 2*y**5 + 18*y**4 - 24*y**3 - 40*y**2 = 0 for y.
-10, -1, 0, 2
What is i in -i**4/3 - 13*i**3 - 25*i**2 - 37*i/3 = 0?
-37, -1, 0
Determine x so that -5*x**5 - 12010*x**4 - 9624005*x**3 - 2579212000*x**2 - 5129600000*x - 2560000000 = 0.
-800, -1
Solve 2*y**2/7 - 78*y/7 - 80/7 = 0 for y.
-1, 40
Factor y**4/4 - 170*y**3 + 679*y**2/4.
y**2*(y - 679)*(y - 1)/4
Let -18*g**5 - 2236*g**4 + 8648*g**3 - 7184*g**2 - 2048*g = 0. Calculate g.
-128, -2/9, 0, 2
Let 2*s**5/3 + 2*s**4 - 62*s**3/3 - 2*s**2 + 84*s = 0. What is s?
-7, -2, 0, 3
Factor 68*o**2 + 133*o - 6.
(o + 2)*(68*o - 3)
Factor 3*f**3/7 - 474*f**2/7 + 393*f - 2280/7.
3*(f - 152)*(f - 5)*(f - 1)/7
Suppose 4*n**3/5 - 236*n**2/5 + 424*n/5 + 1824/5 = 0. What is n?
-2, 4, 57
Determine x so that 2*x**5 + 6*x**4 - 70*x**3 - 390*x**2 - 652*x - 336 = 0.
-4, -3, -2, -1, 7
Factor b**3/4 - 769*b**2/4 + 148987*b/4 - 440067/4.
(b - 383)**2*(b - 3)/4
Solve -2*l**5/9 + 364*l**4/9 - 5270*l**3/3 - 7688*l**2 = 0.
-4, 0, 93
Determine y so that -2*y**5/9 + 38*y**4/9 = 0.
0, 19
Find b, given that 2*b**2 + 28*b + 48 = 0.
-12, -2
Suppose -x**5 - 344*x**4 - 38980*x**3 - 1400816*x**2 + 6082112*x - 6243584 = 0. What is x?
-116, 2
Determine d so that -22*d**5 + 282*d**4 + 52*d**3 = 0.
-2/11, 0, 13
Suppose -2*o**5/3 + 22*o**4/3 - 20*o**3/3 - 212*o**2/3 - 266*o/3 - 98/3 = 0. Calculate o.
-1, 7
Factor w**2 - 1367*w - 1368.
(w - 1368)*(w + 1)
Factor -c**2/5 - 129*c/5 - 254/5.
-(c + 2)*(c + 127)/5
Determine p, given that 2*p**2/7 + 6*p/7 - 20 = 0.
-10, 7
Let 2*j**2 + 594*j - 596 = 0. Calculate j.
-298, 1
Suppose -10*m**5 - 5*m**4 + 10*m**3 + 5*m**2 = 0. What is m?
-1, -1/2, 0, 1
Let g**2/7 - 77*g = 0. What is g?
0, 539
Factor -d**5 - 4*d**4 + 12*d**3.
-d**3*(d - 2)*(d + 6)
Factor -2*b**3 + 62*b**2 + 130*b + 66.
-2*(b - 33)*(b + 1)**2
Solve -5*y**5/6 - 8*y**4/3 - 2*y**3 + 5*y**2/3 + 17*y/6 + 1 = 0 for y.
-6/5, -1, 1
Find s such that 5*s**4 - 50*s**3 + 60*s**2 + 360*s = 0.
-2, 0, 6
Determine y, given that 8*y**4/5 + 26*y**3/5 - 16*y**2 - 38*y/5 + 12 = 0.
-5, -1, 3/4, 2
Factor 5*c**2 + 160*c + 155.
5*(c + 1)*(c + 31)
Determine z so that -z**2/3 - 182*z/3 - 8281/3 = 0.
-91
Determine f so that -4*f**5 - 8*f**4 + 136*f**3/9 + 16*f**2/3 - 100*f/9 + 8/3 = 0.
-3, -1, 1/3, 2/3, 1
Determine j, given that j**3/2 + 21*j**2/2 + 135*j/2 + 275/2 = 0.
-11, -5
Determine z, given that -12*z**5 + 111*z**4 + 1125*z**3 + 2640*z**2 + 1572*z - 576 = 0.
-3, -2, 1/4, 16
Factor -3*w**2 + 1125*w + 1128.
-3*(w - 376)*(w + 1)
Factor 2*a**4 + 2*a**3 - 2*a**2 - 2*a.
2*a*(a - 1)*(a + 1)**2
Let -m**2 - 105*m + 324 = 0. Calculate m.
-108, 3
Solve 961*g**3 - 837*g**2 - 120*g - 4 = 0 for g.
-2/31, 1
Factor 4*b**2/7 + 104*b/7 - 108/7.
4*(b - 1)*(b + 27)/7
Suppose p**2/4 - 939*p/4 - 941/2 = 0. What is p?
-2, 941
What is v in 5*v**2/6 + 6335*v/6 + 4210 = 0?
-1263, -4
What is h in -2*h**3 - 14*h**2 + 56*h - 40 = 0?
-10, 1, 2
Find g, given that 6*g**2 + 603*g - 1545 = 0.
-103, 5/2
Suppose j**3/4 + j**2 - 203*j/4 + 441/2 = 0. Calculate j.
-18, 7
Find x such that 5*x**5 + 1835*x**4 + 165575*x**3 - 513355*x**2 + 7400*x + 684500 = 0.
-185, -1, 2
Let -4*q**2 - 1464*q - 133956 = 0. What is q?
-183
Determine g so that 3*g**3 - 17520*g**2 + 25579200*g = 0.
0, 2920
Factor 3*l**3 - 1977*l**2 + 3942*l.
3*l*(l - 657)*(l - 2)
Find p such that 15*p**3 - 20*p**2 - 245*p - 150 = 0.
-3, -2/3, 5
Factor -2*b**2/7 - 256*b - 57344.
-2*(b + 448)**2/7
What is k in -4*k**2 + 56*k = 0?
0, 14
Suppose 3*y**3 - 435*y**2 - 1776*y - 1788 = 0. What is y?
-2, 149
What is h in -15*h**3 + 490*h**2 - 1185*h - 450 = 0?
-1/3, 3, 30
Factor 5*j**2 - 6860*j + 2352980.
5*(j - 686)**2
Factor -2*o**3 + 40*o**2 - 128*o.
-2*o*(o - 16)*(o - 4)
What is n in 5*n**2 - 200*n + 195 = 0?
1, 39
Factor 4*t**2 + 28*t + 24.
4*(t + 1)*(t + 6)
Factor 3*f**2 - 48*f + 165.
3*(f - 11)*(f - 5)
Solve -5*x**3 - 60*x**2 - 240*x - 320 = 0 for x.
-4
Solve -2*j**5 - 12*j**4 + 34*j**3 + 12*j**2 - 32*j = 0 for j.
-8, -1, 0, 1, 2
Factor 3*a**3 + 37*a**2/2 - 18*a - 7/2.
(a - 1)*(a + 7)*(6*a + 1)/2
Suppose 2*q**5 + 118*q**4 + 2192*q**3 + 10168*q**2 - 47680*q + 35200 = 0. Calculate q.
-22, -20, 1, 2
What is j in -2*j**2/3 + 11752*j/3 - 17263688/3 = 0?
2938
Factor y**2 + 23*y + 22.
(y + 1)*(y + 22)
Let 2*d**3 - 138*d**2 + 2790*d - 13454 = 0. What is d?
7, 31
Factor -2*d**2 - 56*d - 342.
-2*(d + 9)*(d + 19)
Factor r**4/8 + 43*r**3/8 - 49*r**2 + 102*r.
r*(r - 4)**2*(r + 51)/8
Factor 2*w**2/19 + 200*w/19 + 582/19.
2*(w + 3)*(w + 97)/19
Let z**2/3 - 14*z - 715/3 = 0. What is z?
-13, 55
Factor 3*c**4/4 + 81*c**3/2 - 873*c**2/4 + 177*c.
3*c*(c - 4)*(c - 1)*(c + 59)/4
Determine b so that -66*b**4 + 1180*b**3/3 - 1726*b**2/3 - 40*b + 24 = 0.
-2/9, 2/11, 3
Factor -s**2/3 + 19*s/3 - 6.
-(s - 18)*(s - 1)/3
Factor 3*z**2 + 57*z.
3*z*(z + 19)
Suppose 66*i**2/5 + 273*i/5 + 36/5 = 0. Calculate i.
-4, -3/22
Factor -6*u**2 - 96*u/5 - 66/5.
-6*(u + 1)*(5*u + 11)/5
Determine u so that -12*u**3 + 14337*u**2 + 32313*u + 7182 = 0.
-2, -1/4, 1197
Factor 15*i**4 + 5*i**3 - 85*i**2 + 95*i - 30.
5*(i - 1)**2*(i + 3)*(3*i - 2)
Determine l so that l**2 - 468*l + 54756 = 0.
234
Factor -2*j**3/7 + 20*j**2/7 + 22*j/7.
-2*j*(j - 11)*(j + 1)/7
Factor 3*r**2 + 981*r.
3*r*(r + 327)
Determine a, given that 12*a**2 - 1372*a + 1808 = 0.
4/3, 113
Factor i**4/7 + 9*i**3/7 + 4*i**2 + 36*i/7 + 16/7.
(i + 1)*(i + 2)**2*(i + 4)/7
Suppose -4*g**2/3 + 440*g - 36300 = 0. Calculate g.
165
What is c in -c**2/2 + 45*c/2 - 225 = 0?
15, 30
Factor -29282*z**3 - 908710*z**2 - 30016*z - 248.
-2*(z + 31)*(121*z + 2)**2
What is z in 2*z**3/3 + 58*z**2/3 - 20*z = 0?
-30, 0, 1
What is n in -3*n**2/4 - 276*n - 25392 = 0?
-184
Factor -4*l**2 - 392*l + 396.
-4*(l - 1)*(l + 99)
Find j, given that 2601*j**4/8 - 7701*j**3/4 + 22189*j**2/8 + 453*j/2 + 9/2 = 0.
-2/51, 3
Find p, given that 4*p**2 - 376*p - 380 = 0.
-1, 95
Solve 8*v**5 + 4*v**4 - 248*v**3 - 364*v**2 - 120*v = 0.
-5, -1, -1/2, 0, 6
Let -5*o**3 - 105*o**2 - 675*o - 1215 = 0. What is o?
-9, -3
Factor -4*p**2/7 + 88*p/7 - 484/7.
-4*(p - 11)**2/7
Factor 2*h**3/7 - 346*h**2/7 + 2022*h/7 - 3006/7.
2*(h - 167)*(h - 3)**2/7
Factor 2*a**3/7 + 52*a**2/7 + 46*a/7 - 100/7.
2*(a - 1)*(a + 2)*(a + 25)/7
Determine x, given that -x**5/7 + 20*x**4/7 - 11*x**3 - 242*x**2/7 = 0.
-2, 0, 11
Determine z, given that z**4/5 - z**3/5 - 20*z**2 + 20*z = 0.
-10, 0, 1, 10
Let -4*t**3/7 - 432*t**2/7 - 12084*t/7 - 22472/7 = 0. What is t?
-53, -2
Factor -65*l**3 + 595*l**2 - 1000*l + 140.
-5*(l - 7)*(l - 2)*(13*l - 2)
Factor w**5 + 81*w**4 + 1508*w**3 - 5628*w**2 - 7056*w.
w*(w - 4)*(w + 1)*(w + 42)**2
Factor p**2/3 + 13*p + 38/3.
(p + 1)*(p + 38)/3
Solve -r**2/7 - 6*r = 0 for r.
-42, 0
Find