9 - 4/3 = 0.
-4, -3, -1, -1/2
Factor -h**2/7 + 41*h/7.
-h*(h - 41)/7
What is j in -2*j**2/17 + 16*j/17 + 130/17 = 0?
-5, 13
Determine j, given that 2*j**2/5 - 662*j/5 + 132 = 0.
1, 330
Factor 3*p**3 - 30*p**2 + 99*p - 108.
3*(p - 4)*(p - 3)**2
Solve 4*v**4/5 + 56*v**3/5 + 176*v**2/5 + 32*v = 0 for v.
-10, -2, 0
Factor 31*b**2/2 - 123*b - 8.
(b - 8)*(31*b + 2)/2
Find m, given that 8*m**4/7 + 222*m**3/7 + 2106*m**2/7 + 7290*m/7 + 4374/7 = 0.
-9, -3/4
Factor 2*i**3 + 15750*i**2 + 41343750*i + 36175781250.
2*(i + 2625)**3
Find a, given that -4*a**2 + 5336*a = 0.
0, 1334
Factor 5*r**3 - 75*r**2 - 480*r - 400.
5*(r - 20)*(r + 1)*(r + 4)
Solve 6*r**5/7 - 22*r**4 + 1072*r**3/7 - 648*r**2/7 - 5184*r/7 + 3456/7 = 0.
-2, 2/3, 3, 12
Suppose 2*j**3/7 + 26*j**2 + 5254*j/7 + 46546/7 = 0. Calculate j.
-37, -17
Factor 12*q**4 + 940*q**3 + 24648*q**2 + 219024*q + 70304.
4*(q + 26)**3*(3*q + 1)
Factor 3*t**2/5 + 138*t/5 - 141/5.
3*(t - 1)*(t + 47)/5
Factor 2*y**3/5 - 8*y**2/5 - 280*y - 12544/5.
2*(y - 32)*(y + 14)**2/5
Determine d, given that 2*d**4/15 - 6*d**3/5 + 14*d**2/15 + 6*d/5 - 16/15 = 0.
-1, 1, 8
Find p, given that 7*p**2/2 - 166*p - 96 = 0.
-4/7, 48
Suppose 6*r**5 + 340*r**4 + 1502*r**3 + 2424*r**2 + 1672*r + 416 = 0. What is r?
-52, -2, -1, -2/3
Factor 2*c**5 - 20*c**4 + 66*c**3 - 88*c**2 + 40*c.
2*c*(c - 5)*(c - 2)**2*(c - 1)
Factor 3*u**4 - 108*u**3 + 969*u**2 + 108*u - 972.
3*(u - 18)**2*(u - 1)*(u + 1)
Factor -3*r**3 - 150*r**2 + 636*r - 648.
-3*(r - 2)**2*(r + 54)
Factor -2*s**3/15 - 26*s**2/15 + 4*s.
-2*s*(s - 2)*(s + 15)/15
Suppose -249*r**2/5 - 749*r/5 - 6/5 = 0. Calculate r.
-3, -2/249
Suppose 3*b**4/5 + 329*b**3/5 + 1858*b**2 + 14796*b/5 + 5832/5 = 0. Calculate b.
-54, -1, -2/3
Suppose -2*w**5/5 + 404*w**4/5 - 5386*w**3 + 573784*w**2/5 + 1229984*w/5 + 628864/5 = 0. What is w?
-1, 68
What is c in -4*c**2 + 1276*c - 1272 = 0?
1, 318
Factor -2*t**2/11 - 144*t/11 - 2592/11.
-2*(t + 36)**2/11
Let -2*m**4/3 + 76*m**3/3 - 146*m**2/3 + 24*m = 0. Calculate m.
0, 1, 36
Factor -2*t**2/9 - 4*t.
-2*t*(t + 18)/9
Factor 3*n**2 + 96*n + 768.
3*(n + 16)**2
Solve 5*a**5 - 100*a**4 + 350*a**3 + 4900*a**2 - 42875*a + 96040 = 0.
-8, 7
Find z such that -12*z**3 + 9*z**2 + 3*z = 0.
-1/4, 0, 1
What is v in v**4 + 3*v**3 - 39*v**2 - 115*v + 150 = 0?
-5, 1, 6
Factor -108*y**2 + 36*y - 3.
-3*(6*y - 1)**2
Determine u so that 5*u**4 - 160*u**3 + 105*u**2 + 1510*u + 1240 = 0.
-2, -1, 4, 31
Solve -2*m**5 + 104*m**4 - 1728*m**3 + 7776*m**2 + 23328*m = 0.
-2, 0, 18
Suppose a**5/7 + 15*a**4/7 + 5*a**3 - 15*a**2/7 - 36*a/7 = 0. What is a?
-12, -3, -1, 0, 1
Factor 2*j**5 + 26*j**4 + 70*j**3 - 98*j**2.
2*j**2*(j - 1)*(j + 7)**2
Factor -2*d**4 + 32*d**3 - 126*d**2 + 184*d - 88.
-2*(d - 11)*(d - 2)**2*(d - 1)
Factor -3*u**5 + 3*u**4 + 27*u**3 + 33*u**2 + 12*u.
-3*u*(u - 4)*(u + 1)**3
Solve -2*v**5/11 + 4*v**3/11 - 2*v/11 = 0.
-1, 0, 1
What is l in 39*l**4/4 + 197*l**3/4 + 5*l**2/2 = 0?
-5, -2/39, 0
What is k in k**3/6 - 82*k**2 + 20655*k/2 - 59049 = 0?
6, 243
Find a such that -4*a**2 + 4928*a - 1517824 = 0.
616
Factor -18*y**3/7 + 130*y**2/7 - 244*y/7 + 48/7.
-2*(y - 4)*(y - 3)*(9*y - 2)/7
Factor -4*p**4 - 304*p**3 - 7488*p**2 - 54080*p + 140608.
-4*(p - 2)*(p + 26)**3
Determine n, given that 4*n**3 - 216*n**2 + 204*n + 424 = 0.
-1, 2, 53
Determine o, given that -5*o**3/2 - 65*o**2 + 1325*o/2 - 595 = 0.
-34, 1, 7
Factor -3*p**4/5 + 192*p**3/5 - 3072*p**2/5.
-3*p**2*(p - 32)**2/5
Solve -2*i**4 + 14*i**3 + 78*i**2 - 414*i + 324 = 0 for i.
-6, 1, 3, 9
Let 3*z**2/8 - 3153*z/2 - 12615/8 = 0. Calculate z.
-1, 4205
Factor -a**2 + 15*a + 34.
-(a - 17)*(a + 2)
Determine s, given that s**5/6 - 16*s**4/3 - 149*s**3/3 - 428*s**2/3 - 317*s/2 - 60 = 0.
-3, -1, 40
Solve -5*i**3/6 + 31*i**2 - 129*i/2 + 35/3 = 0 for i.
1/5, 2, 35
Suppose g**2/2 - g/2 - 1 = 0. Calculate g.
-1, 2
Find l such that 2*l**4 + 10*l**3 + 6*l**2 - 10*l - 8 = 0.
-4, -1, 1
Factor h**3 + 350*h**2 + 30972*h + 60552.
(h + 2)*(h + 174)**2
What is z in 12*z**5 + 712*z**4/3 + 524*z**3/3 - 152*z**2/3 = 0?
-19, -1, 0, 2/9
Factor i**4/8 - 11*i**3/8 + 11*i**2/2 - 19*i/2 + 6.
(i - 4)*(i - 3)*(i - 2)**2/8
Factor 2*l**3 - 1780*l**2 + 3552*l.
2*l*(l - 888)*(l - 2)
Let 32*l**5/5 - 272*l**4/5 + 434*l**3/5 + 54*l**2 + 36*l/5 = 0. Calculate l.
-1/4, 0, 3, 6
Suppose 5*z**4 + 5*z**3 = 0. Calculate z.
-1, 0
Determine c so that -46*c**4/7 + 106*c**3/7 + 32*c**2/7 - 120*c/7 = 0.
-1, 0, 30/23, 2
Find b, given that -3*b**4/8 + 15*b**3/2 + 369*b**2/8 + 87*b/4 - 75 = 0.
-4, -2, 1, 25
What is q in 12*q**5 + 399*q**4 - 3081*q**3 + 6297*q**2 - 2547*q - 1080 = 0?
-40, -1/4, 1, 3
What is v in 3*v**4 + 1359*v**3 - 9*v**2 - 4083*v - 2718 = 0?
-453, -1, 2
Factor 15*p**4 + 12*p**3 - 21*p**2 - 18*p.
3*p*(p + 1)**2*(5*p - 6)
Factor -4*x**4 - 80*x**3 - 372*x**2 - 520*x - 224.
-4*(x + 1)**2*(x + 4)*(x + 14)
Determine x, given that -9*x**3/7 - 66*x**2/7 + 129*x/7 - 54/7 = 0.
-9, 2/3, 1
Determine f, given that -39*f**3 - 777*f**2/5 + 987*f/5 - 3 = 0.
-5, 1/65, 1
Factor y**4/2 + 6*y**3 - 14*y**2.
y**2*(y - 2)*(y + 14)/2
Factor h**2/6 + 13*h/2 + 112/3.
(h + 7)*(h + 32)/6
Factor 2*g**3/3 + 130*g**2/3 - 404*g/3 + 272/3.
2*(g - 2)*(g - 1)*(g + 68)/3
Determine j so that 9*j**4 - 33*j**3/4 - 7*j**2/2 + 13*j/4 - 1/2 = 0.
-2/3, 1/4, 1/3, 1
Factor -2*v**3/9 + 2*v**2 + 8*v.
-2*v*(v - 12)*(v + 3)/9
Find i, given that -3*i**3/5 + 27*i**2/5 - 54*i/5 = 0.
0, 3, 6
Factor 5*m**3 - 405*m**2 + 10935*m - 98415.
5*(m - 27)**3
Factor -s**2/9 - 7*s/9 - 10/9.
-(s + 2)*(s + 5)/9
Solve 6*m**4/5 + 5022*m**3/5 + 1048338*m**2/5 - 1053366*m/5 = 0 for m.
-419, 0, 1
Suppose -x**4 + 5*x**3 - 8*x**2 + 4*x = 0. What is x?
0, 1, 2
Solve -q**4/4 - 945*q**3/4 - 1887*q**2/4 - 943*q/4 = 0.
-943, -1, 0
Find i, given that -3*i**5 + 3*i**4 + 51*i**3 + 57*i**2 - 48*i - 60 = 0.
-2, -1, 1, 5
Factor -o**4 - 78*o**3 - 1597*o**2 - 2964*o - 1444.
-(o + 1)**2*(o + 38)**2
Solve 5*r**5 + 190*r**4 + 1965*r**3 + 2700*r**2 - 4860*r = 0 for r.
-18, -3, 0, 1
Find u such that 4*u**3/7 - 44*u**2/7 + 72*u/7 = 0.
0, 2, 9
Find m, given that 24*m**4 + 68*m**3 + 36*m**2 - 8*m = 0.
-2, -1, 0, 1/6
Factor -i**2 - 1774*i + 1775.
-(i - 1)*(i + 1775)
Let -n**5 + 4*n**4 - 5*n**3 + 2*n**2 = 0. What is n?
0, 1, 2
Factor 5*n**3 - 15*n**2 - 20*n.
5*n*(n - 4)*(n + 1)
Determine j so that 5*j**3 - 15*j**2 - 5*j + 15 = 0.
-1, 1, 3
Factor 2*a**3/9 - 16*a**2 + 1762*a/9 - 988/3.
2*(a - 57)*(a - 13)*(a - 2)/9
Find l such that -4*l**5 - 112*l**4 + 236*l**3 - 120*l**2 = 0.
-30, 0, 1
Find g, given that -2*g**3/3 + 32*g**2/3 - 104*g/3 + 32 = 0.
2, 12
Determine f, given that -f**2/3 - 2052*f - 3158028 = 0.
-3078
What is o in -10*o**5 - 55*o**4/2 + 15*o**3 + 45*o**2/2 = 0?
-3, -3/4, 0, 1
Find m such that -2*m**2/19 - 18*m/19 + 20/19 = 0.
-10, 1
What is p in -4*p**3 + 52*p**2 - 120*p = 0?
0, 3, 10
Solve -5*d**2 + 420*d + 425 = 0 for d.
-1, 85
What is m in m**3 + 10*m**2 + 9*m = 0?
-9, -1, 0
Suppose -i**4 + 37*i**3 + 39*i**2 - 37*i - 38 = 0. What is i?
-1, 1, 38
What is m in -5*m**2/3 - 5690*m - 4856415 = 0?
-1707
Suppose 2*t**4 + 64*t**3 - 446*t**2 + 380*t = 0. What is t?
-38, 0, 1, 5
Suppose 3*l**3 - 48*l**2 + 39*l + 90 = 0. Calculate l.
-1, 2, 15
Let -16*v**3 - 238*v**2 + 286*v - 32 = 0. Calculate v.
-16, 1/8, 1
Find p such that -4*p**4/5 + 48*p**3/5 - 116*p**2/5 + 72*p/5 = 0.
0, 1, 2, 9
Find w such that w**5 - 11*w**4/2 + 9*w**3/2 + 7*w**2 - 4*w = 0.
-1, 0, 1/2, 2, 4
Suppose -2*t**4/7 - 144*t**3/7 + 762*t**2/7 - 88*t = 0. What is t?
-77, 0, 1, 4
Factor 2*y**4/3 + 184*y**3 + 548*y**2 + 1640*y/3 + 182.
2*(y + 1)**3*(y + 273)/3
Determine v, given that -v**4/9 + 22*v**3/9 - 59*v**2/9 + 38*v/9 = 0.
0, 1, 2, 19
Suppose -2*i**5/11 + 2*i**4/11 + 6*i**3/11 - 2*i**2/11 - 4*i/11 = 0. What is i?
-1, 0, 1, 2
Let j**4/7 + j**3 - 136*j**2/7 + 128*j/7 = 0. What is j?
-16, 0, 1, 8
Let -4*s**4/3 - 208*s**3/3 + 4*s**2/3 + 208*s/3 = 0. What is s?
-52, -1, 0, 1
What is s in 3*s**5 - 417*s**4 + 2037*s**3 - 3639*s**2 + 2820*s - 804 = 0?
1, 2, 134
Factor -4*q**2 - 836*q - 832.
-4*(q + 1)*(q + 208)
Solve -j**2/2 + 4*j + 9/2 = 0 for j.
-1, 9
Factor -48*y**5 + 120*y**4 + 285*y**3 - 345*y**2 - 825*y - 363.
-3*(y + 1)**3*(4*y - 11)**2
Determine w so that -2*w**2 + 3548*w - 1573538 = 0.
887
Let 4*v**3 + 100*v**2 - 228*v - 324 = 0. What is v?
-27, -1, 3
Find n, given that -2*n