9, 0
Factor 2*h**4/9 + 1280*h**3/9 - 2576*h**2/3 + 15488*h/9 - 10336/9.
2*(h - 2)**3*(h + 646)/9
Determine v so that 4*v**3 - 36*v**2 + 80*v - 48 = 0.
1, 2, 6
Suppose 2*p**3/3 + 22*p**2/3 - 172*p/3 - 64 = 0. Calculate p.
-16, -1, 6
Factor -u**3/4 - 7*u**2.
-u**2*(u + 28)/4
Factor -18*a**3 + 2982*a**2/5 - 1982*a/25 + 66/25.
-2*(a - 33)*(15*a - 1)**2/25
Factor -2*k**2/9 - 2416*k/9 - 729632/9.
-2*(k + 604)**2/9
Factor -6*p**2/7 + 116*p/7 + 80/7.
-2*(p - 20)*(3*p + 2)/7
Suppose -4*x**2 - 276*x - 1736 = 0. Calculate x.
-62, -7
Determine b, given that -5*b**4 - 3040*b**3 - 462075*b**2 + 3040*b + 462080 = 0.
-304, -1, 1
Factor -2*m**2 + 90*m - 252.
-2*(m - 42)*(m - 3)
Determine t so that -t**3/3 - 8*t**2/3 - 17*t/3 - 10/3 = 0.
-5, -2, -1
Suppose -5*b**5 + 870*b**4 - 38695*b**3 + 73090*b**2 + 38700*b - 73960 = 0. What is b?
-1, 1, 2, 86
Factor -r**2/6 + 23*r/3 - 529/6.
-(r - 23)**2/6
Solve -4*m**3 + 428*m**2 + 1336*m - 1760 = 0 for m.
-4, 1, 110
Factor 6*u**5/5 - 6*u**4/5 - 6*u**3/5 + 6*u**2/5.
6*u**2*(u - 1)**2*(u + 1)/5
Suppose 4*t**2/9 - 346*t/3 - 174 = 0. Calculate t.
-3/2, 261
Determine l so that -l**5 - 11*l**4 + 3*l**3 + 35*l**2 + 22*l = 0.
-11, -1, 0, 2
Find r such that 18*r**5/13 - 6*r**4 + 8*r**3/13 + 288*r**2/13 - 320*r/13 + 96/13 = 0.
-2, 2/3, 2, 3
Factor 4*h**2 - 472*h - 476.
4*(h - 119)*(h + 1)
Solve -12*b**2 - 88*b + 180 = 0 for b.
-9, 5/3
Let 2*g**3 + 42*g**2 + 294*g + 686 = 0. Calculate g.
-7
Suppose 4*c**4 + 36*c**3 - 3360*c**2 + 29008*c = 0. What is c?
-37, 0, 14
Suppose 2*s**3/5 - 62*s**2/5 - 2*s/5 + 62/5 = 0. Calculate s.
-1, 1, 31
Factor 4*z**2/5 + 764*z/5 - 768/5.
4*(z - 1)*(z + 192)/5
Factor -7*f**3/2 - 9*f**2 + 24*f + 16.
-(f - 2)*(f + 4)*(7*f + 4)/2
Factor -2*u**2/3 - 1384*u/3 - 5504/3.
-2*(u + 4)*(u + 688)/3
Let 2*t**2 + 1316*t + 216482 = 0. What is t?
-329
Factor 3*o**4/5 + 24*o**3 + 240*o**2.
3*o**2*(o + 20)**2/5
Factor -x**5/8 - 3*x**4/4 - x**3/4 + 5*x**2/2 + 27*x/8 + 5/4.
-(x - 2)*(x + 1)**3*(x + 5)/8
Find l such that -2*l**4/9 - 16*l**3/9 + 2*l**2/3 + 52*l/9 + 32/9 = 0.
-8, -1, 2
Factor -4*z**2/3 - 680*z/3 - 28900/3.
-4*(z + 85)**2/3
Let 33*d**5 - 102*d**4 - 153*d**3 + 498*d**2 + 84*d - 360 = 0. What is d?
-2, -10/11, 1, 2, 3
What is s in -7*s**3/4 + 43*s**2/4 - 69*s/4 + 9/4 = 0?
1/7, 3
What is h in -2*h**3/7 - 2*h**2 - 32*h/7 - 24/7 = 0?
-3, -2
What is y in 2*y**3 + 6*y**2 - 18*y + 10 = 0?
-5, 1
Let -2*t**5 + 46*t**3 - 132*t**2 + 136*t - 48 = 0. What is t?
-6, 1, 2
Let -6*u**3/11 + 122*u**2/11 + 84*u/11 = 0. Calculate u.
-2/3, 0, 21
Find i, given that 14*i**5/9 + 34*i**4/9 - 58*i**3/9 - 38*i**2/3 - 4*i = 0.
-3, -1, -3/7, 0, 2
Factor 3*y**2 + 483*y + 480.
3*(y + 1)*(y + 160)
Factor 5*m**3 - 1645*m**2 + 132800*m + 413340.
5*(m - 166)**2*(m + 3)
Find k such that 4*k**5 + 408*k**4 + 10804*k**3 + 20400*k**2 + 10000*k = 0.
-50, -1, 0
Find r, given that -2*r**2/7 - 416*r - 151424 = 0.
-728
Suppose b**5 + 7*b**4/3 - 7*b**3/3 - b**2 = 0. Calculate b.
-3, -1/3, 0, 1
Factor w**5/2 + 747*w**4/2 + 93741*w**3 + 8087027*w**2 + 92062581*w/2 + 135623007/2.
(w + 3)**2*(w + 247)**3/2
Factor -w**2 - 91*w + 92.
-(w - 1)*(w + 92)
Determine i so that -2*i**2/7 + 124*i/7 + 330 = 0.
-15, 77
Determine z so that 3*z**3 + 69*z**2 - 78*z - 144 = 0.
-24, -1, 2
Find q, given that q**2/3 + 3*q + 20/3 = 0.
-5, -4
Factor 28*u**3 - 16*u**2 - 28*u + 16.
4*(u - 1)*(u + 1)*(7*u - 4)
Solve -d**2 - 3*d + 4 = 0 for d.
-4, 1
Solve 14*u**4 + 18*u**3 - 66*u**2 + 22*u + 12 = 0 for u.
-3, -2/7, 1
Let 2*f**4/3 + 20*f**3 - 2*f**2/3 - 20*f = 0. Calculate f.
-30, -1, 0, 1
What is v in -80*v**5/13 + 264*v**4/13 - 252*v**3/13 + 94*v**2/13 - 12*v/13 = 0?
0, 3/10, 1/2, 2
Factor 3*b**2/4 + 135*b + 6075.
3*(b + 90)**2/4
Factor 52*k**5/5 - 40*k**4 + 176*k**3/5 + 32*k**2/5.
4*k**2*(k - 2)**2*(13*k + 2)/5
Factor 4*s**3 + 372*s**2 + 8460*s - 8836.
4*(s - 1)*(s + 47)**2
Determine b, given that -5*b**4 - 1470*b**3 - 105065*b**2 + 438060*b - 444020 = 0.
-149, 2
Factor 81*n**4 + 234*n**3 - 83*n**2 - 184*n - 48.
(n - 1)*(n + 3)*(9*n + 4)**2
Let -4*j**3/9 - 1900*j**2/9 - 5672*j/9 - 3776/9 = 0. Calculate j.
-472, -2, -1
Suppose y**5 - 3*y**4 - y**3 + 3*y**2 = 0. Calculate y.
-1, 0, 1, 3
Let 147*g**3 - 2856*g**2 - 1668*g - 240 = 0. What is g?
-2/7, 20
Suppose 2*l**5 - 6*l**4 + 6*l**3 - 2*l**2 = 0. What is l?
0, 1
What is x in x**4/9 - 8*x**3/9 + x**2/3 + 32*x/9 - 28/9 = 0?
-2, 1, 2, 7
Suppose -2*k**5/7 + 8*k**4/7 = 0. Calculate k.
0, 4
Find g such that 5*g**2 + 460*g + 10580 = 0.
-46
Factor 2*z**3 - 54*z**2 - 242*z - 186.
2*(z - 31)*(z + 1)*(z + 3)
Solve -2*z**2/13 - 154*z/13 - 444/13 = 0 for z.
-74, -3
Factor 18*t**3/17 + 74*t**2/17 + 80*t/17 + 8/17.
2*(t + 2)**2*(9*t + 1)/17
Find h, given that 9*h**5 - 78*h**4 + 210*h**3 - 108*h**2 - 243*h + 162 = 0.
-1, 2/3, 3
Solve 2*i**2/11 + 512*i/11 - 2080/11 = 0 for i.
-260, 4
Factor -2*a**2 + a + 10.
-(a + 2)*(2*a - 5)
Let 5*u**5 - 250*u**4 + 485*u**3 - 240*u**2 = 0. Calculate u.
0, 1, 48
Factor 4*r**2/7 + 844*r/7.
4*r*(r + 211)/7
Factor -54*x**2/11 + 100*x/11 + 16/11.
-2*(x - 2)*(27*x + 4)/11
Factor -b**5/2 + 7*b**4/2 + 13*b**3 - 46*b**2 - 188*b - 160.
-(b - 8)*(b - 5)*(b + 2)**3/2
Factor 4*u**3 + 288*u**2 + 284*u.
4*u*(u + 1)*(u + 71)
Let 38*x**5 + 148*x**4 - 16*x**3 - 608*x**2 - 544*x + 64 = 0. What is x?
-2, 2/19, 2
Factor -4*p**3 + 15756*p**2 - 20687628*p + 9054285188.
-4*(p - 1313)**3
Factor 3*z**4/2 + 15*z**3 + 54*z**2 + 84*z + 48.
3*(z + 2)**3*(z + 4)/2
Factor -3*k**2 + 2808*k - 657072.
-3*(k - 468)**2
Let x**2 + x - 2 = 0. Calculate x.
-2, 1
Determine o so that -2*o**5/9 - 8*o**4/3 - 106*o**3/9 - 220*o**2/9 - 24*o - 80/9 = 0.
-5, -2, -1
Suppose g**4/5 - 7*g**3/5 - 6*g**2 + 252*g/5 - 216/5 = 0. Calculate g.
-6, 1, 6
Determine i so that 5*i**4 - 35*i**3 + 75*i**2 - 65*i + 20 = 0.
1, 4
Factor -v**3/3 + 2*v**2/3 + 19*v/3 - 20/3.
-(v - 5)*(v - 1)*(v + 4)/3
Factor q**4/2 + 77*q**3 + 1037*q**2/2 + 580*q - 1176.
(q - 1)*(q + 4)**2*(q + 147)/2
Let 2*a**4 + 2*a**3 - 39*a**2/2 + 18*a = 0. What is a?
-4, 0, 3/2
What is o in -4*o**2 - 2132*o = 0?
-533, 0
Factor -4*i**2 - 116*i - 816.
-4*(i + 12)*(i + 17)
Find a, given that a**5/7 + 2*a**4/7 - 36*a**3/7 + 88*a**2/7 - 64*a/7 = 0.
-8, 0, 2
What is f in 5*f**4 + 29*f**3 + 54*f**2 + 28*f - 8 = 0?
-2, 1/5
Let -6*g**4/5 - 206*g**3/5 + 2108*g**2/5 - 1088*g + 2752/5 = 0. What is g?
-43, 2/3, 4
Factor -4*v**3 - 24*v**2 - 44*v - 24.
-4*(v + 1)*(v + 2)*(v + 3)
Factor -q**3/2 + 81*q**2/2.
-q**2*(q - 81)/2
Determine n, given that -n**3 + 17*n**2 + 58*n + 40 = 0.
-2, -1, 20
Determine v so that -3*v**5 + 75*v**4 + 162*v**3 + 6*v**2 - 159*v - 81 = 0.
-1, 1, 27
Solve -40*r**3 - 1375*r**2 - 12070*r - 4335 = 0 for r.
-17, -3/8
Factor -3*g**3/7 + 81*g**2/7 - 582*g/7 + 72.
-3*(g - 14)*(g - 12)*(g - 1)/7
Factor -3*m**3 + 39*m**2 + 42*m.
-3*m*(m - 14)*(m + 1)
Determine l, given that 27*l**4/7 - 354*l**3/7 + 129*l**2 - 636*l/7 + 60/7 = 0.
1/9, 1, 2, 10
Factor 5*j**2 + 105*j - 810.
5*(j - 6)*(j + 27)
Solve 3*x**4/2 - 39*x**3 - 447*x**2/2 - 279*x = 0 for x.
-3, -2, 0, 31
Factor -x**4/3 + 11*x**3/6 - 3*x**2 + 3*x/2.
-x*(x - 3)*(x - 1)*(2*x - 3)/6
Factor 10*d**3/3 + 152*d**2/3 + 274*d/3 + 44.
2*(d + 1)**2*(5*d + 66)/3
Factor r**2 - 191*r - 980.
(r - 196)*(r + 5)
Let -141*m**4 + 852*m**3 + 2079*m**2 + 1038*m - 48 = 0. What is m?
-1, 2/47, 8
Let 2*n**4/5 + 54*n**3/5 + 52*n**2/5 = 0. Calculate n.
-26, -1, 0
Factor -2312*z**2/3 - 340*z - 75/2.
-(68*z + 15)**2/6
Factor 5*p**4 + 105*p**3 + 405*p**2 - 3645*p - 21870.
5*(p - 6)*(p + 9)**3
Find h such that -5*h**5 + 120*h**4 - 490*h**3 + 240*h**2 + 855*h = 0.
-1, 0, 3, 19
Let -3*a**4/7 - 6*a**3 - 180*a**2/7 - 216*a/7 = 0. What is a?
-6, -2, 0
Let -4*k**5 + 40*k**4 - 136*k**3 + 208*k**2 - 148*k + 40 = 0. Calculate k.
1, 2, 5
Solve 20*y**4/7 + 12*y**3 - 64*y/7 = 0 for y.
-4, -1, 0, 4/5
Factor -10*p**4/11 - 134*p**3/11 - 238*p**2/11 - 114*p/11.
-2*p*(p + 1)**2*(5*p + 57)/11
Solve 2*b**2/3 + 140*b/3 - 96 = 0 for b.
-72, 2
Factor 2*y**3 - 12*y**2 + 18*y - 8.
2*(y - 4)*(y - 1)**2
Factor m**5/4 + 49*m**4/2 - 509*m**3/4 + 311*m**2/2 + 101*m - 206.
(m - 2)**3*(m + 1)*(m + 103)/4
Factor 2*m**4/11 - 130*m**3/11.
2*m**3*(m - 65)/11
Factor -2*n**3 - 58*n**2 + 122*n - 62.
-2*(n - 1)**2*(n + 31)
Solve 4*b**5/3 - 16*b**4/3 + 16*b**3/3 + 8*b**2/3 - 20*b/3 + 8/3 = 0.
-1, 1, 2
Determine d, given th