*g**2 - 12*g - 120 = 0 for g.
-10, -1, 2
Factor -z**4/2 + z**3 + 5*z**2/2 - 3*z.
-z*(z - 3)*(z - 1)*(z + 2)/2
Suppose 51*a**5/5 - 151*a**4/5 - 57*a**3/5 + 151*a**2/5 + 6*a/5 = 0. Calculate a.
-1, -2/51, 0, 1, 3
Factor -m**5 + 80*m**4 + 246*m**3 + 248*m**2 + 83*m.
-m*(m - 83)*(m + 1)**3
Determine q, given that 3*q**4/4 + 6*q**3 + 27*q**2/2 + 12*q + 15/4 = 0.
-5, -1
Factor -a**2/2 + 15*a/2 - 7.
-(a - 14)*(a - 1)/2
Factor -42*y**3 - 76*y**2 - 26*y + 8.
-2*(y + 1)**2*(21*y - 4)
Find m, given that 3*m**5 - 27*m**4 + 57*m**3 + 63*m**2 - 168*m - 144 = 0.
-1, 3, 4
Factor 4*y**3 - 27*y**2 - 10*y + 21.
(y - 7)*(y + 1)*(4*y - 3)
Factor 25*l**2 - 13620*l + 1855044.
(5*l - 1362)**2
Factor 2*u**4/9 - 44*u**3 + 7400*u**2/3 - 492500*u/9 + 1281250/3.
2*(u - 123)*(u - 25)**3/9
Factor n**2/4 + 7*n/2 - 15/4.
(n - 1)*(n + 15)/4
Factor 2*t**3 - 66*t**2 + 484*t.
2*t*(t - 22)*(t - 11)
What is y in -3*y**3 + 53*y**2 + 75*y + 19 = 0?
-1, -1/3, 19
Find v, given that -4*v**3 + 16*v**2 + 12*v - 72 = 0.
-2, 3
Determine q, given that q**2/6 + 1192*q + 2131296 = 0.
-3576
Find x, given that x**4/3 + 110*x**3/3 - x**2 - 328*x/3 + 220/3 = 0.
-110, -2, 1
Determine f, given that -40*f**4 - 55*f**3 + 65*f**2 + 30*f = 0.
-2, -3/8, 0, 1
Factor -3*q**3 - 18*q**2 + 27*q + 42.
-3*(q - 2)*(q + 1)*(q + 7)
Factor -k**2/4 + 5*k/2 + 6.
-(k - 12)*(k + 2)/4
Solve -5*d**5 - 905*d**4 - 41400*d**3 - 40500*d**2 = 0 for d.
-90, -1, 0
Let -3*a**4 + 14833*a**3 - 24448080*a**2 + 13435577088*a - 4475809792 = 0. What is a?
1/3, 1648
Factor 3701*t**2/2 + 1851*t + 1/2.
(t + 1)*(3701*t + 1)/2
Factor 3*o**3 + 66*o**2 + 120*o.
3*o*(o + 2)*(o + 20)
Suppose 3*m**4/2 - 15*m**3/2 - 12*m**2 + 18*m = 0. Calculate m.
-2, 0, 1, 6
Factor -2*q**4/7 - 10*q**3/7 - 16*q**2/7 - 8*q/7.
-2*q*(q + 1)*(q + 2)**2/7
Factor -2*h**4 - 1430*h**3 - 256326*h**2 - 254898*h.
-2*h*(h + 1)*(h + 357)**2
Factor -50*k**3 + 25760*k**2 - 30858*k + 9252.
-2*(k - 514)*(5*k - 3)**2
Factor p**4/6 + 7*p**3 + 98*p**2 + 1715*p/3 + 2401/2.
(p + 7)**3*(p + 21)/6
Factor -2*r**3 + 8*r**2 - 10*r + 4.
-2*(r - 2)*(r - 1)**2
Factor 2*u**2/5 - 44*u/5.
2*u*(u - 22)/5
Solve -5*j**5 + 25*j**4 - 30*j**3 = 0 for j.
0, 2, 3
Determine w, given that 2*w**2/9 + 316*w/9 + 12482/9 = 0.
-79
Determine r so that r**5/4 + 5*r**4/2 + 17*r**3/4 + 2*r**2 = 0.
-8, -1, 0
Determine k, given that 12*k**4 + 763*k**3 - 326*k**2 - 385*k - 64 = 0.
-64, -1/3, -1/4, 1
Factor a**4/2 - 43*a**3/2 + 220*a**2 + 242*a.
a*(a - 22)**2*(a + 1)/2
Suppose -6*a**3/13 + 116*a**2/13 + 206*a/13 + 84/13 = 0. Calculate a.
-1, -2/3, 21
Suppose 5*q**5 + 15*q**4 - 30*q**3 - 40*q**2 = 0. What is q?
-4, -1, 0, 2
What is b in 2*b**4/7 + 130*b**3/7 + 1446*b**2/7 - 21682*b/7 + 54760/7 = 0?
-37, 4, 5
Let z**2/3 - 464*z = 0. What is z?
0, 1392
Determine l, given that 9*l**5 + 69*l**4 + 87*l**3 - 33*l**2 - 96*l - 36 = 0.
-6, -1, -2/3, 1
Let j**2/2 - 915*j/2 + 913 = 0. What is j?
2, 913
Factor -l**4 + 14*l**3 - 60*l**2 + 82*l - 35.
-(l - 7)*(l - 5)*(l - 1)**2
Factor -2*r**3 + 44*r**2 - 210*r.
-2*r*(r - 15)*(r - 7)
Find b such that 3*b**3 - 54*b**2 - 120*b = 0.
-2, 0, 20
Solve w**5/3 + 10*w**4 + 272*w**3/3 + 646*w**2/3 - 91*w - 676/3 = 0 for w.
-13, -4, -1, 1
Factor u**2/4 - 111*u/2 + 221/4.
(u - 221)*(u - 1)/4
Factor 2*z**4/3 + 32*z**3/3 + 60*z**2 + 144*z + 126.
2*(z + 3)**3*(z + 7)/3
Factor -c**4 - 176*c**3 - 175*c**2.
-c**2*(c + 1)*(c + 175)
Find h such that -5*h**2 - 295*h - 2820 = 0.
-47, -12
Factor 8*h**3 + 28*h**2 - 132*h - 72.
4*(h - 3)*(h + 6)*(2*h + 1)
Let 2*t**2/11 + 6*t + 460/11 = 0. Calculate t.
-23, -10
Suppose 4*w**2 - 20*w - 144 = 0. What is w?
-4, 9
Factor m**5/2 - 3*m**4 + 4*m**3 + m**2 - 9*m/2 + 2.
(m - 4)*(m - 1)**3*(m + 1)/2
Find k such that k**4/6 + 4*k**3/3 + 10*k**2/3 + 8*k/3 = 0.
-4, -2, 0
Determine y, given that y**4 + 14*y**3 + 59*y**2 + 94*y + 48 = 0.
-8, -3, -2, -1
Factor -3*h**5 - 3*h**4 + 15*h**3 - 9*h**2.
-3*h**2*(h - 1)**2*(h + 3)
Suppose 2*g**2/15 - 296*g/3 + 490 = 0. What is g?
5, 735
Determine r, given that 15*r**5 + 126*r**4 - 8502*r**3 + 61260*r**2 - 30393*r - 22506 = 0.
-31, -2/5, 1, 11
Suppose p**4/5 + 96*p**3/5 - 3*p**2/5 - 58*p - 192/5 = 0. Calculate p.
-96, -1, 2
Suppose 2*a**4/9 - 76*a**3/9 - 80*a**2/3 - 244*a/9 - 82/9 = 0. Calculate a.
-1, 41
Factor -3*v**4/5 + 9*v**2/5 + 6*v/5.
-3*v*(v - 2)*(v + 1)**2/5
Find a, given that -4*a**2/7 + 276*a/7 + 6688/7 = 0.
-19, 88
Let -2*s**2 - 160*s/3 + 18 = 0. What is s?
-27, 1/3
Factor -2*i**2/7 + 800*i/7 - 80000/7.
-2*(i - 200)**2/7
Find h such that 75*h**4/2 + 5415*h**3/2 - 4959*h**2 + 2658*h - 444 = 0.
-74, 2/5, 1
Determine c, given that -9*c**5/2 - 1992*c**4 + 1335*c**3/2 + 1329*c**2 = 0.
-443, -2/3, 0, 1
Solve 2*q**4/7 - 12*q**3/7 - 114*q**2/7 - 4*q/7 + 528/7 = 0 for q.
-4, -3, 2, 11
Factor -3*m**3/5 + 12*m**2/5 + 3*m/5 - 12/5.
-3*(m - 4)*(m - 1)*(m + 1)/5
Solve b**3/8 + 57*b**2/8 + 81*b/4 = 0 for b.
-54, -3, 0
Factor 16*b**3 - 1858*b**2 - 1640*b + 234.
2*(b - 117)*(b + 1)*(8*b - 1)
Find k, given that 4*k**2 - 60*k - 136 = 0.
-2, 17
Determine u so that u**4/5 - 5*u**3 + 143*u**2/5 + 169*u/5 = 0.
-1, 0, 13
Factor 4*b**2 + 160*b - 6864.
4*(b - 26)*(b + 66)
Suppose -4*j**3 - 792*j**2 + 1596*j - 800 = 0. Calculate j.
-200, 1
Factor -4*k**4 - 28*k**3 + 1056*k**2 + 9792*k.
-4*k*(k - 17)*(k + 12)**2
Find n, given that n**2/4 + 2423*n/2 + 5870929/4 = 0.
-2423
Suppose 5*x**5 - 5*x**4 - 10*x**3 = 0. What is x?
-1, 0, 2
Factor i**2/4 + 361*i/4 + 359/2.
(i + 2)*(i + 359)/4
Suppose -5*m**2 + 95*m + 600 = 0. Calculate m.
-5, 24
Determine w, given that 2*w**4/7 + 6*w**3 + 188*w**2/7 - 24*w - 112 = 0.
-14, -7, -2, 2
Suppose a**4 - 13*a**3 = 0. What is a?
0, 13
Suppose 2*k**5/7 - 4*k**4 - 30*k**3/7 = 0. What is k?
-1, 0, 15
Factor -4*j**2/3 - 1628*j/3.
-4*j*(j + 407)/3
Find v, given that -2*v**4/11 + 46*v**3/11 + 136*v**2 + 376*v + 2688/11 = 0.
-16, -2, -1, 42
Solve -2*c**5/11 + 4*c**4/11 + 26*c**3/11 - 28*c**2/11 - 48*c/11 = 0.
-3, -1, 0, 2, 4
Find u, given that u**4/3 - 9*u**3 - 88*u**2/3 - 20*u = 0.
-2, -1, 0, 30
Factor 5*k**4 + 35*k**3 + 55*k**2 + 25*k.
5*k*(k + 1)**2*(k + 5)
Factor 5*r**3 - 130*r**2 - 135*r.
5*r*(r - 27)*(r + 1)
Factor -4*a**3 + 16*a**2 - 4*a - 24.
-4*(a - 3)*(a - 2)*(a + 1)
Solve w**5/2 - 5*w**3/2 + 2*w = 0 for w.
-2, -1, 0, 1, 2
Suppose -t**4 + 30*t**3 + 96*t**2 + 98*t + 33 = 0. Calculate t.
-1, 33
Let u**4/8 + 7*u**3/2 + 27*u**2/8 = 0. Calculate u.
-27, -1, 0
Factor -2*m**2/5 + 164*m/5 + 166/5.
-2*(m - 83)*(m + 1)/5
Factor 4*t**4 - 24*t**3 - 48*t**2 + 280*t + 300.
4*(t - 5)**2*(t + 1)*(t + 3)
Solve -4*y**2 + 96*y = 0.
0, 24
Solve 3*t**4 - 1665*t**3 + 230184*t**2 + 231852*t = 0 for t.
-1, 0, 278
Factor 3*y**3 + 17*y**2 + 28*y + 12.
(y + 2)*(y + 3)*(3*y + 2)
Find v such that -v**3 + 38*v**2 + 45*v - 234 = 0.
-3, 2, 39
Let -5*n**3 + 730*n**2 = 0. What is n?
0, 146
Factor -160*h**2 - 164*h - 4.
-4*(h + 1)*(40*h + 1)
Determine h, given that 33*h**3 + 348*h**2 + 996*h + 864 = 0.
-72/11, -2
Factor -12*t**4 - 27*t**3 - 18*t**2 - 3*t.
-3*t*(t + 1)**2*(4*t + 1)
Suppose t**2 + 817*t = 0. What is t?
-817, 0
Suppose -2*z**2/3 + 22*z/3 + 8 = 0. Calculate z.
-1, 12
Determine c so that c**2/3 + 195*c - 586/3 = 0.
-586, 1
Factor -l**4 + 12*l**3 - 21*l**2 + 10*l.
-l*(l - 10)*(l - 1)**2
Find y, given that 12*y**3 + 279*y**2 + 69*y = 0.
-23, -1/4, 0
Factor 4*t**2 - 416*t + 10816.
4*(t - 52)**2
Find m, given that 42*m**5 - 44*m**4 - 116*m**3 + 48*m**2 + 58*m - 20 = 0.
-1, 1/3, 5/7, 2
Factor -3*x**5 - 2145*x**4 - 511938*x**3 - 40953612*x**2 - 40443816*x.
-3*x*(x + 1)*(x + 238)**3
Factor 2*h**3/13 - 20*h**2/13 - 226*h/13 - 204/13.
2*(h - 17)*(h + 1)*(h + 6)/13
Determine t, given that 3*t**3 + 21*t**2 - 3*t - 21 = 0.
-7, -1, 1
Determine f, given that 3*f**5/2 + 3*f**4/2 - 39*f**3 - 12*f**2 + 240*f - 192 = 0.
-4, 1, 2, 4
Factor -b**4 - 40*b**3 - 303*b**2 + 2156*b + 2420.
-(b - 5)*(b + 1)*(b + 22)**2
What is f in -2*f**5/21 - 16*f**4/7 - 236*f**3/21 + 208*f**2/7 - 338*f/21 = 0?
-13, 0, 1
Factor -3*a**2/8 - 1191*a/4 - 472827/8.
-3*(a + 397)**2/8
Factor 12*a**3/5 - 72*a**2/5 + 63*a/5 + 147/5.
3*(a + 1)*(2*a - 7)**2/5
Find m such that 5*m**3 - 55*m**2 + 150*m = 0.
0, 5, 6
Determine n so that -n**4/4 - 7*n**3/4 - 15*n**2/4 - 13*n/4 - 1 = 0.
-4, -1
Determine j, given that -j**3/2 + 41*j**2 - 79*j/2 - 81 = 0.
-1, 2, 81
Suppose 15*i**5 - 11*i**4/2