6, 9
Find c, given that 3*c**2 - 888*c = 0.
0, 296
Let -87*b**2/5 - 1752*b/5 - 48 = 0. What is b?
-20, -4/29
Let 2*y**4 - 180*y**3 + 866*y**2 - 1368*y + 680 = 0. What is y?
1, 2, 85
Factor 4*q**3/3 - 4*q + 8/3.
4*(q - 1)**2*(q + 2)/3
Solve -o**4/2 - 71*o**3/3 + 16*o**2 = 0 for o.
-48, 0, 2/3
Find q, given that -5*q**2 + 1420*q = 0.
0, 284
Determine k, given that -4*k**5 - 40*k**4 - 160*k**3 - 320*k**2 - 320*k - 128 = 0.
-2
Determine q so that 2*q**5/9 - 2*q**3/9 = 0.
-1, 0, 1
Solve -2*t**3 - 104*t**2 - 1802*t - 10404 = 0 for t.
-18, -17
Factor -2*z**4 - 5824*z**3 - 5657040*z**2 - 1836636800*z - 3650692000.
-2*(z + 2)*(z + 970)**3
Factor 2*p**2 - 16984*p + 36057032.
2*(p - 4246)**2
Find t such that -5*t**3 - 120*t**2 + 405*t = 0.
-27, 0, 3
Let 6*k**4/7 - 662*k**3/7 - 1800*k**2/7 - 904*k/7 = 0. Calculate k.
-2, -2/3, 0, 113
Solve 3*z**2 + 42*z - 96 = 0 for z.
-16, 2
Solve 3*g**3 + 464*g**2 + 18095*g + 11858 = 0.
-77, -2/3
Factor -2*f**4/11 - 12*f**3/11 - 26*f**2/11 - 24*f/11 - 8/11.
-2*(f + 1)**2*(f + 2)**2/11
Let -128*l**4 - 544*l**3 + 13416*l**2 - 52390*l + 61516 = 0. What is l?
-14, 13/4
Factor 3*f**2 + 63*f - 138.
3*(f - 2)*(f + 23)
Suppose 5*m**4/6 + 23*m**3/6 + 10*m**2/3 - 2*m = 0. What is m?
-3, -2, 0, 2/5
Factor -2*n**3/5 - 58*n**2/5 + 122*n/5 - 62/5.
-2*(n - 1)**2*(n + 31)/5
Factor -2*t**4/11 + 40*t**3/11 - 284*t**2/11 + 840*t/11 - 882/11.
-2*(t - 7)**2*(t - 3)**2/11
Suppose 2*p**4 + 22*p**3 + 72*p**2 + 72*p = 0. Calculate p.
-6, -3, -2, 0
Suppose 1476*l**2/5 + 1461*l/5 - 3 = 0. What is l?
-1, 5/492
Factor 4*g**4/5 - 12*g**3/5 + 12*g**2/5 - 4*g/5.
4*g*(g - 1)**3/5
Suppose 8*r**4 - 18*r**3 - 20*r**2 + 6*r = 0. Calculate r.
-1, 0, 1/4, 3
Factor -u**3 + 246*u**2 - 971*u + 726.
-(u - 242)*(u - 3)*(u - 1)
Factor m**2/2 - 113*m.
m*(m - 226)/2
Find u, given that -2*u**2 - 116*u = 0.
-58, 0
Let 2*t**3 - 78*t**2 = 0. Calculate t.
0, 39
Factor -q**2 + 82*q + 344.
-(q - 86)*(q + 4)
Solve f**3/3 + 5*f**2/3 - f/3 - 5/3 = 0 for f.
-5, -1, 1
Factor -3*v**3 - 81*v**2 + 3*v + 81.
-3*(v - 1)*(v + 1)*(v + 27)
Solve 3*q**4 - 12*q**3 - 36*q**2 + 96*q + 192 = 0.
-2, 4
Suppose -u**2/5 + 573*u/5 + 230 = 0. What is u?
-2, 575
Let z**4/5 - 13*z**3/5 - 9*z**2 - 47*z/5 - 16/5 = 0. What is z?
-1, 16
Factor -h**5 + 3*h**4 + 63*h**3 - 355*h**2 + 450*h.
-h*(h - 5)**2*(h - 2)*(h + 9)
What is p in -p**5/4 + 9*p**4/2 - 73*p**3/4 + 27*p**2 - 13*p = 0?
0, 1, 2, 13
Factor b**3/2 - 7*b**2/2 - 21*b/2 + 27/2.
(b - 9)*(b - 1)*(b + 3)/2
Solve u**5/3 - 4*u**4 + 22*u**3/3 + 16*u**2 - 23*u/3 - 12 = 0.
-1, 1, 4, 9
Suppose -2*r**5/13 - 14*r**4/13 - 2*r**3 + 6*r**2/13 + 36*r/13 = 0. Calculate r.
-3, -2, 0, 1
Factor -2*g**3/21 - 46*g**2/21 + 10*g - 54/7.
-2*(g - 3)*(g - 1)*(g + 27)/21
Determine f so that 2*f**5/9 - 4*f**4 - 40*f**3/3 - 124*f**2/9 - 14*f/3 = 0.
-1, 0, 21
Solve 28*a**4 + 258*a**3 + 726*a**2 + 592*a + 96 = 0.
-4, -1, -3/14
Factor -5*s**4 - 50*s**3 - 180*s**2 - 280*s - 160.
-5*(s + 2)**3*(s + 4)
Find n, given that -4*n**3 + 600*n**2 - 596*n = 0.
0, 1, 149
Factor -x**3/2 - 987*x**2/2 - 242055*x/2 + 735075/2.
-(x - 3)*(x + 495)**2/2
Solve -2*f**3 - 2488*f**2 - 776250*f - 1542564 = 0.
-621, -2
Determine c so that 27*c**5/8 - 375*c**4/4 - 1005*c**3/8 + 345*c**2/2 + 87*c/2 = 0.
-2, -2/9, 0, 1, 29
Let 4*h**3 + 64*h**2 - 140*h + 72 = 0. Calculate h.
-18, 1
Solve -h**5 + 3*h**4 + 7*h**3 - 27*h**2 + 18*h = 0.
-3, 0, 1, 2, 3
Let 2*f**4/9 - 20*f**3/9 - 8*f**2/3 + 20*f/9 + 22/9 = 0. Calculate f.
-1, 1, 11
Factor 5*b**2 - 260*b + 3380.
5*(b - 26)**2
Determine v so that 4*v**2/15 + 18*v/5 - 28/15 = 0.
-14, 1/2
Factor 3*r**2 + 66*r + 363.
3*(r + 11)**2
Suppose 2*p**2 - 394*p + 392 = 0. What is p?
1, 196
Factor -a**2 - 107*a + 218.
-(a - 2)*(a + 109)
Find n, given that -4*n**4 - 632*n**3 - 24324*n**2 + 50560*n - 25600 = 0.
-80, 1
Factor 4*d**2/3 + 412*d/3 - 416/3.
4*(d - 1)*(d + 104)/3
Determine h, given that -9*h**5 + 696*h**4 - 222*h**3 - 696*h**2 + 231*h = 0.
-1, 0, 1/3, 1, 77
Factor -2*t**2/11 + 194*t/11 - 1092/11.
-2*(t - 91)*(t - 6)/11
Factor -2*r**5/13 + 44*r**4/13 - 280*r**3/13 + 400*r**2/13.
-2*r**2*(r - 10)**2*(r - 2)/13
Factor 4*h**5 - 24*h**4 + 32*h**3 + 8*h**2 - 36*h + 16.
4*(h - 4)*(h - 1)**3*(h + 1)
Solve r**4/3 - 71*r**3/6 + 102*r**2 + 54*r = 0.
-1/2, 0, 18
Factor j**5 - 3*j**4 - 5*j**3 + 3*j**2 + 4*j.
j*(j - 4)*(j - 1)*(j + 1)**2
Suppose 25*b**5 + 165*b**4 - 70*b**3 - 2380*b**2 - 5400*b - 3680 = 0. Calculate b.
-23/5, -2, 4
Let 5*c**2 + 23480*c + 27565520 = 0. Calculate c.
-2348
Factor -3*u**4 - 36*u**3 + 54*u**2 + 972*u - 2187.
-3*(u - 3)**2*(u + 9)**2
Factor -5*s**3 + 16950*s**2 - 19153500*s + 7214485000.
-5*(s - 1130)**3
Solve 2*n**3/5 - 1348*n**2/5 - 2702*n/5 - 1352/5 = 0.
-1, 676
Factor a**2 + 169*a - 342.
(a - 2)*(a + 171)
Solve 2*j**2/9 + 244*j + 66978 = 0 for j.
-549
Find i, given that -3*i**5 + 186*i**4 + 195*i**3 - 378*i**2 = 0.
-2, 0, 1, 63
Find z such that -5*z**3/2 + 50*z**2 - 65*z/2 - 2535 = 0.
-6, 13
Factor -4*z**2 - 116*z - 216.
-4*(z + 2)*(z + 27)
Find d such that d**5/4 - 3*d**4/2 - 103*d**3/2 - 183*d**2 - 875*d/4 - 171/2 = 0.
-9, -2, -1, 19
Let s**5/4 + s**4 - 7*s**3/4 - 5*s**2/2 = 0. Calculate s.
-5, -1, 0, 2
Let x**4/2 - 19*x**3/2 + 63*x**2/2 - 45*x/2 = 0. Calculate x.
0, 1, 3, 15
Suppose b**2/3 - 2*b + 5/3 = 0. Calculate b.
1, 5
Let -5*z**2 - 435*z + 890 = 0. Calculate z.
-89, 2
Factor 2*k**4/11 + 64*k**3/11 + 570*k**2/11 + 900*k/11.
2*k*(k + 2)*(k + 15)**2/11
Let -9*t**2/2 - 501*t/2 + 84 = 0. What is t?
-56, 1/3
Factor -5*h**5 - 5*h**4 + 425*h**3 - 1375*h**2.
-5*h**2*(h - 5)**2*(h + 11)
Factor -d**4/6 + 2*d**3/3 + 9*d**2/2 + 19*d/3 + 8/3.
-(d - 8)*(d + 1)**2*(d + 2)/6
Factor -n**2/4 - 11*n/4 - 5/2.
-(n + 1)*(n + 10)/4
Find m, given that 6*m**5/11 - 18*m**4/11 - 30*m**3/11 + 18*m**2/11 + 24*m/11 = 0.
-1, 0, 1, 4
Factor -2*x**4/13 - 4*x**3 - 26*x**2.
-2*x**2*(x + 13)**2/13
Factor a**3 + 22*a**2 + 41*a + 20.
(a + 1)**2*(a + 20)
Solve 4*a**3 - 292*a**2 + 5180*a + 5476 = 0.
-1, 37
What is s in -60*s**3 - 136*s**2 + 124*s - 24 = 0?
-3, 1/3, 2/5
Factor 4*t**4 + 40*t**3 + 112*t**2 + 24*t - 180.
4*(t - 1)*(t + 3)**2*(t + 5)
Factor -3*p**3 + 12*p**2 + 63*p.
-3*p*(p - 7)*(p + 3)
Find s such that -s**4/6 + 34*s**2/3 - 48*s + 160/3 = 0.
-10, 2, 4
Factor 10*i**5 - 15*i**4 + 5*i**2.
5*i**2*(i - 1)**2*(2*i + 1)
Factor -r**2/6 - 383*r/6.
-r*(r + 383)/6
Find v such that -4*v**4 - 32*v**3 + 156*v**2 + 232*v - 352 = 0.
-11, -2, 1, 4
Suppose o**3 + 40*o**2 - 176*o = 0. What is o?
-44, 0, 4
Factor 4*z**5/7 - 96*z**4/7 + 804*z**3/7 - 2840*z**2/7 + 4464*z/7 - 2592/7.
4*(z - 9)**2*(z - 2)**3/7
Determine n so that 2*n**4 - 22*n**3 - 58*n**2 + 78*n = 0.
-3, 0, 1, 13
Factor 3*h**2 - 5694*h - 5697.
3*(h - 1899)*(h + 1)
Factor -98*o**3/15 + 1022*o**2/5 - 58*o + 62/15.
-2*(o - 31)*(7*o - 1)**2/15
Factor -3*z**3/8 - 207*z**2/8 - 291*z + 1377/2.
-3*(z - 2)*(z + 17)*(z + 54)/8
What is i in -2*i**5 + 94*i**4 - 1142*i**3 + 682*i**2 + 4600*i - 4232 = 0?
-2, 1, 2, 23
Find d such that -3*d**3 - 249*d**2 + 3*d + 249 = 0.
-83, -1, 1
Factor 4*n**4 - 312*n**3 + 1684*n**2 + 171600*n + 1210000.
4*(n - 50)**2*(n + 11)**2
What is b in -10*b**3 - 35*b**2/2 + 65*b - 75/2 = 0?
-15/4, 1
Let 98*x**3 - 336*x**2 - 216*x - 32 = 0. What is x?
-2/7, 4
Suppose -8*h**4 - 4*h**3 + 8*h**2 + 4*h = 0. Calculate h.
-1, -1/2, 0, 1
Factor -2*n**3 - 3*n**2 + 11*n + 6.
-(n - 2)*(n + 3)*(2*n + 1)
Suppose -2*q**4 - 20*q**3 - 26*q**2 + 120*q - 72 = 0. Calculate q.
-6, 1
Factor 4*q**3 + 4*q**2 - 224*q + 576.
4*(q - 4)**2*(q + 9)
Find p, given that p**4 - 93*p**3/4 + 195*p**2/4 - 127*p/4 + 21/4 = 0.
1/4, 1, 21
Let 3*f**5/4 - 267*f**4/4 + 1533*f**3/4 - 3273*f**2/4 + 750*f - 249 = 0. Calculate f.
1, 2, 83
Factor 3*v**3 + 42*v**2.
3*v**2*(v + 14)
Factor 4*p**3 + 44*p**2 + 124*p + 84.
4*(p + 1)*(p + 3)*(p + 7)
Let -l**2/2 + 141*l + 283/2 = 0. Calculate l.
-1, 283
Determine o so that -2*o**5/11 + 4*o**4/11 - 2*o**3/11 = 0.
0, 1
Let 4*c**4 + 8*c**3 - 32*c**2 - 72*c - 36 = 0. Calculate c.
-3, -1, 3
Solve 4*t**3 - 47*t**2/3 + 53*t/3 - 6 = 0 for t.
2/3, 1, 9/4
Determine c so that 2*c**4/5 - 38*c**2/5 + 12*c/5 + 144/5 = 0.
-4, -2, 3
Suppose 4*i**5/3 - 8*i**4/3 + 4*i**3/3 = 0. What is i?
0, 1
Factor -m**4 - 34*m**3 - 360*m**2 - 864*m + 3456.
-(m - 2)*(m + 12)**3
Determine v so that -3*v**5/7 - 15*v**4/7 - 9*v**3/7 + 39*v**2/7 