**3/5 - 156*m**2 - 774*m/5 + 1556/5.
-2*(m - 1)*(m + 2)*(m + 389)/5
What is k in -3*k**3 - 93*k**2 - 309*k + 405 = 0?
-27, -5, 1
Factor 5*h**3 + 155*h**2 - 685*h + 525.
5*(h - 3)*(h - 1)*(h + 35)
Solve -s**4/2 - 11*s**3/2 - 12*s**2 + 18*s = 0.
-6, 0, 1
Factor -x**4 + 19*x**3 - 104*x**2 + 176*x.
-x*(x - 11)*(x - 4)**2
Factor 2*d**2/9 - 392*d/9 + 130/3.
2*(d - 195)*(d - 1)/9
Suppose -3*c**3/2 + 33*c**2/2 + 39*c = 0. What is c?
-2, 0, 13
Find n, given that 6*n**5 - 5*n**4 - 8*n**3 + 7*n**2 = 0.
-7/6, 0, 1
Factor 2*b**2/9 + 10*b + 172/9.
2*(b + 2)*(b + 43)/9
Factor -d**2/5 - 7*d/5 + 18/5.
-(d - 2)*(d + 9)/5
Solve -6*j**2/5 - 408*j/5 + 414/5 = 0.
-69, 1
Solve u**2/5 - u/5 - 6 = 0 for u.
-5, 6
Suppose -2*g**4 + 313*g**3/2 - 3369*g**2 + 23569*g/2 - 2738 = 0. Calculate g.
1/4, 4, 37
Factor -r**4/6 - 17*r**3/6 - 5*r**2.
-r**2*(r + 2)*(r + 15)/6
Factor t**3/6 + 47*t**2/6 + 703*t/6 + 1083/2.
(t + 9)*(t + 19)**2/6
Factor -3*x**5 + 3*x**4 + 15*x**3 + 9*x**2.
-3*x**2*(x - 3)*(x + 1)**2
Let n**3/3 + 27*n**2 - 82*n/3 = 0. Calculate n.
-82, 0, 1
Let -5*k**3 + 3280*k**2 + 6575*k + 3290 = 0. What is k?
-1, 658
Find z, given that -3*z**2 - 108*z - 972 = 0.
-18
Factor -p**3/6 + 61*p**2/6 - 160*p + 150.
-(p - 30)**2*(p - 1)/6
Find i such that 4*i**3 - 60*i**2 - 16*i + 240 = 0.
-2, 2, 15
What is s in -2*s**3/5 + 82*s**2/15 - 304*s/15 + 56/5 = 0?
2/3, 6, 7
Determine q so that 3*q**3/5 + 498*q**2/5 + 2859*q/5 - 672 = 0.
-160, -7, 1
Factor 4*u**3 - 40*u**2 - 324*u + 360.
4*(u - 15)*(u - 1)*(u + 6)
Find x, given that -2*x**3/7 + 24*x**2/7 - 72*x/7 = 0.
0, 6
Solve -2*l**2/5 - 72*l/5 - 126 = 0.
-21, -15
Factor -5*l**3 + 190*l**2 + 820*l + 840.
-5*(l - 42)*(l + 2)**2
Factor j**3/8 - j/2.
j*(j - 2)*(j + 2)/8
Factor -2*n**3 + 14*n**2 + 2*n - 14.
-2*(n - 7)*(n - 1)*(n + 1)
Find f such that 7*f**5 - f**4 - 14*f**3 + 2*f**2 + 7*f - 1 = 0.
-1, 1/7, 1
What is s in 15*s**5 - 24*s**4 - 147*s**3 - 24*s**2 + 132*s + 48 = 0?
-2, -1, -2/5, 1, 4
Factor h**4/2 - 7*h**3/2 + 2*h**2 + 6*h.
h*(h - 6)*(h - 2)*(h + 1)/2
Let 33*a**4 - 6319*a**3 - 3284*a**2 + 3836*a + 768 = 0. Calculate a.
-1, -2/11, 2/3, 192
Factor -4*d**4 + 36*d**3 - 88*d**2 + 128.
-4*(d - 4)**2*(d - 2)*(d + 1)
Solve -j**3 + 10*j**2 - 25*j = 0 for j.
0, 5
Solve -4*p**2/7 - 9656*p/7 - 9652/7 = 0 for p.
-2413, -1
Suppose -2*x**3/9 - 4*x**2/3 + 2*x + 12 = 0. What is x?
-6, -3, 3
Factor -s**2/6 + 233*s/3 - 464/3.
-(s - 464)*(s - 2)/6
Determine h so that 2*h**2/19 - 44*h/19 = 0.
0, 22
Factor 81*l**2 - 240*l - 9.
3*(l - 3)*(27*l + 1)
Determine w so that -4*w**5/3 - 304*w**4/3 - 3500*w**3/3 - 14432*w**2/3 - 6720*w = 0.
-63, -5, -4, 0
Suppose 6859*u**4/2 - 4693*u**3 - 1710*u**2 + 4725*u - 3375/2 = 0. What is u?
-1, 15/19
Factor 4*z**4 - 12*z**3 - 268*z**2 - 852*z - 792.
4*(z - 11)*(z + 2)*(z + 3)**2
Factor 5*n**5 - 30*n**4 - 60*n**3 + 190*n**2 - 105*n.
5*n*(n - 7)*(n - 1)**2*(n + 3)
Factor -3*f**4/5 + 99*f**3/5 - 864*f**2/5 + 768*f/5.
-3*f*(f - 16)**2*(f - 1)/5
Factor -2*o**3/3 + 114*o**2 - 6498*o + 123462.
-2*(o - 57)**3/3
Solve -2*u**3/7 - 202*u**2/7 - 4784*u/7 + 16224/7 = 0 for u.
-52, 3
Determine k, given that 2*k**2 - 788*k + 77618 = 0.
197
Determine r so that -3*r**4 + 180*r**3 - 2898*r**2 + 18228*r - 40131 = 0.
7, 39
Find c, given that 15*c**5 - 70*c**4 - 235*c**3 - 70*c**2 = 0.
-2, -1/3, 0, 7
Factor -4*t**3 - 220*t**2 - 3772*t - 19044.
-4*(t + 9)*(t + 23)**2
Factor 2*h**5/5 + 966*h**4/5 - 1938*h**3/5 + 194*h**2.
2*h**2*(h - 1)**2*(h + 485)/5
Factor -g**4/4 + 17*g**3/4 - 63*g**2/4 - 81*g/4.
-g*(g - 9)**2*(g + 1)/4
Factor 192*w**3/5 + 3*w**2/5 - 192*w/5 - 3/5.
3*(w - 1)*(w + 1)*(64*w + 1)/5
Factor 3*a**2 + 7092*a + 4191372.
3*(a + 1182)**2
Factor 3*h**2 - 1332*h + 1329.
3*(h - 443)*(h - 1)
Factor -5*n**3 - 30*n**2 - 55*n - 30.
-5*(n + 1)*(n + 2)*(n + 3)
Determine x, given that -3*x**4/2 - 39*x**3/4 - 9*x**2/2 = 0.
-6, -1/2, 0
Factor -3*y**2 + 384*y - 12288.
-3*(y - 64)**2
Factor 2*t**4 - 2224*t**3 + 825840*t**2 - 102948800*t + 202612000.
2*(t - 370)**3*(t - 2)
Factor 2*o**4/9 - 22*o**3/9 + 68*o**2/9 - 16*o/3.
2*o*(o - 6)*(o - 4)*(o - 1)/9
Suppose -25*i**5/2 - 95*i**4/4 - 27*i**3/2 - 9*i**2/4 = 0. What is i?
-1, -3/5, -3/10, 0
What is l in -4*l**2 + 340*l + 12096 = 0?
-27, 112
Factor 2*c**4/7 + 2288*c**3/7 + 981552*c**2/7 + 187149248*c/7 + 13381171232/7.
2*(c + 286)**4/7
Determine z so that -2*z**3 - 4*z**2 + 190*z - 600 = 0.
-12, 5
Factor -2*h**2/11 + 120*h/11 + 122/11.
-2*(h - 61)*(h + 1)/11
Let 15*n**4 + 48*n**3 + 39*n**2 + 6*n = 0. What is n?
-2, -1, -1/5, 0
Suppose -76*b**3 + 52*b**2 + 176*b + 48 = 0. What is b?
-1, -6/19, 2
Factor 5*l**2 + 1095*l.
5*l*(l + 219)
Factor 51*f**2 + 924*f + 108.
3*(f + 18)*(17*f + 2)
Factor 4*d**2 + 12224*d + 9339136.
4*(d + 1528)**2
Factor j**2/3 + 103*j/3 + 34.
(j + 1)*(j + 102)/3
Suppose -q**4 - 17*q**3 - 17*q**2 + 185*q - 150 = 0. Calculate q.
-15, -5, 1, 2
Factor 2*z**4 - 18*z**3 + 30*z**2 - 14*z.
2*z*(z - 7)*(z - 1)**2
Factor r**4/6 - 56*r**3/3 + 373*r**2/3 - 580*r/3 + 175/2.
(r - 105)*(r - 5)*(r - 1)**2/6
What is s in 3*s**4 + 33*s**3 + 27*s**2 - 33*s - 30 = 0?
-10, -1, 1
Factor 4*r**3 + 384*r**2.
4*r**2*(r + 96)
Factor -5*v**2 - 100*v + 1120.
-5*(v - 8)*(v + 28)
Let -3*s**5/5 - 21*s**4/5 + 27*s**3 + 165*s**2 - 1092*s/5 - 1764/5 = 0. Calculate s.
-7, -1, 2, 6
Find n, given that -4*n**5 - 36*n**4 + 12*n**3 + 100*n**2 - 72*n = 0.
-9, -2, 0, 1
Factor -5*m**3 + 20*m**2 - 15*m.
-5*m*(m - 3)*(m - 1)
Factor u**2 + 228*u + 227.
(u + 1)*(u + 227)
Factor r**3/2 + 12*r**2 + 72*r + 128.
(r + 4)**2*(r + 16)/2
Factor -2*t**3/7 - 912*t**2/7 - 138624*t/7 - 7023616/7.
-2*(t + 152)**3/7
Let i**5/4 - 67*i**4/4 + 65*i**3/2 + i**2/2 - 131*i/4 + 65/4 = 0. What is i?
-1, 1, 65
Factor 13*y**2/2 + 23*y.
y*(13*y + 46)/2
Factor -5*j**3 + 600*j**2 - 24000*j + 320000.
-5*(j - 40)**3
Factor 5*m**2 + 1115*m - 1120.
5*(m - 1)*(m + 224)
Factor -s**4/4 + 8*s**3 - 63*s**2.
-s**2*(s - 18)*(s - 14)/4
Factor -30*i**2 + 35*i + 65.
-5*(i + 1)*(6*i - 13)
Suppose -u**4/9 + 2*u**2/3 + 8*u/9 + 1/3 = 0. Calculate u.
-1, 3
What is q in 14*q**5 - 542*q**4/3 + 1334*q**3/3 - 390*q**2 + 296*q/3 + 40/3 = 0?
-2/21, 1, 10
Factor 5*b**4/6 + 5290*b**3/3.
5*b**3*(b + 2116)/6
Factor -2*t**3 + 4*t**2 + 14*t + 8.
-2*(t - 4)*(t + 1)**2
Factor -2*u**4/11 - 424*u**3/11 - 26652*u**2/11 - 40280*u - 198550.
-2*(u + 11)**2*(u + 95)**2/11
Determine r, given that -2*r**3 - 20*r**2 - 38*r + 60 = 0.
-6, -5, 1
Find c, given that 3*c**3 + 1935*c**2 + 416025*c + 29815125 = 0.
-215
Factor 4*t**4 + 46*t**3 + 116*t**2 - 70*t.
2*t*(t + 5)*(t + 7)*(2*t - 1)
Let -22*b**2/15 - 192*b/5 - 104/15 = 0. Calculate b.
-26, -2/11
Let -16*x**4 + 3964*x**3 + 4976*x**2 + 996*x = 0. Calculate x.
-1, -1/4, 0, 249
Factor -3*n**2 - 5874*n - 2875323.
-3*(n + 979)**2
Determine v so that -v**2/3 - 8*v/3 + 3 = 0.
-9, 1
What is y in -5*y**4 + 105*y**3 - 165*y**2 - 505*y + 570 = 0?
-2, 1, 3, 19
Factor -2*g**3/9 - 2*g**2/9 + 4*g/3.
-2*g*(g - 2)*(g + 3)/9
Let -2*s**3/13 - 710*s**2/13 + 1426*s/13 - 714/13 = 0. Calculate s.
-357, 1
Determine j, given that 21*j**4 + 846*j**3 + 4629*j**2 + 4824*j + 1020 = 0.
-34, -5, -1, -2/7
Solve 3*w**2 + 198*w + 3267 = 0 for w.
-33
Factor 4*f**4/3 - 32*f**3/3 + 24*f**2 - 36.
4*(f - 3)**3*(f + 1)/3
Factor -5*y**3 + 1005*y**2 - 51000*y + 50000.
-5*(y - 100)**2*(y - 1)
Factor -7396*i**2 - 688*i - 16.
-4*(43*i + 2)**2
Suppose -4*k**4/5 + 2488*k**3/5 + 2492*k**2/5 = 0. Calculate k.
-1, 0, 623
Determine b, given that -6*b**4 - 38*b**3 + 30*b**2 + 14*b = 0.
-7, -1/3, 0, 1
Factor -2*v**2 + 494*v + 496.
-2*(v - 248)*(v + 1)
Factor -v**3/4 - 13*v**2/4 + 161*v/4 - 147/4.
-(v - 7)*(v - 1)*(v + 21)/4
What is q in 2*q**3 - 196*q**2 + 752*q = 0?
0, 4, 94
Factor -3*v**2 + 261*v + 810.
-3*(v - 90)*(v + 3)
Factor -j**3 - 3*j**2 + 72*j - 176.
-(j - 4)**2*(j + 11)
Factor 5*r**2/3 + 110*r/3.
5*r*(r + 22)/3
Determine z so that 3*z**4 - 162*z**3 + 2943*z**2 - 20412*z + 47628 = 0.
6, 21
Factor 3*u**2/5 + 17394*u/5 + 25212603/5.
3*(u + 2899)**2/5
Find s, given that -2*s**5/15 - 4*s**4/15 + 26*s**3/15 - 4*s**2/3 = 0.
-5, 0, 1, 2
Solve 10*k**5 - 725*k**4 + 3105*k**3 - 3055*k**2 - 355*k + 1020 = 0.
-1/2, 1, 3, 68
Factor -4*j**2 + 5908*j + 5912.
-4*(j - 1478)*(j + 1)
Suppose f**2/7 - 177*f/7 - 178/7 = 0. Calculate f.
-1, 178
Suppose w**5 + 3*w**4 - 4*w**2 = 0. What is w?
-2, 0, 1
