 16*h**3 + 192*h**2 - 288*h.
-2*h*(h - 2)**2*(h + 6)**2
Factor -5*g**2 + 1350*g - 91125.
-5*(g - 135)**2
Factor 2*x**3 - 14*x**2 + 8*x + 24.
2*(x - 6)*(x - 2)*(x + 1)
Find h, given that h**5 - 9*h**4 - 116*h**3 - 324*h**2 - 272*h = 0.
-4, -2, 0, 17
Factor -5*h**4 - 530*h**3 + 5*h**2 + 530*h.
-5*h*(h - 1)*(h + 1)*(h + 106)
Determine n, given that -n**2/3 + 50*n/3 + 17 = 0.
-1, 51
What is m in -45*m**2 - 681*m - 90 = 0?
-15, -2/15
Factor -5*s**5 - 20*s**4 + 70*s**2 + 85*s + 30.
-5*(s - 2)*(s + 1)**3*(s + 3)
Factor -2*r**3 + 16*r**2 - 14*r.
-2*r*(r - 7)*(r - 1)
Let -111747*q**5 - 444672*q**4 - 437736*q**3 + 9216*q**2 - 48*q = 0. Calculate q.
-2, 0, 2/193
What is z in 32*z**5/13 - 7856*z**4/13 + 480178*z**3/13 + 245510*z**2/13 - 212298*z/13 + 30258/13 = 0?
-1, 1/4, 123
Solve 4*t**4/7 + 456*t**3/7 + 14656*t**2/7 + 92856*t/7 + 11236 = 0.
-53, -7, -1
Factor 5*s**3 - 560*s**2 + 15680*s.
5*s*(s - 56)**2
Determine f so that 50*f**4/7 - 2540*f**3/7 - 542*f**2/7 + 1640*f/7 - 408/7 = 0.
-1, 2/5, 51
Factor 2*y**2/7 + 92*y/7 + 720/7.
2*(y + 10)*(y + 36)/7
Determine v, given that -v**3/2 - 191*v**2 = 0.
-382, 0
Factor b**5/3 - 4*b**4 + 12*b**3.
b**3*(b - 6)**2/3
Determine u, given that 3*u**4 + 39*u**3 + 180*u**2 + 348*u + 240 = 0.
-5, -4, -2
Determine w so that -4*w**3 - 18212*w**2 - 20738912*w - 20720704 = 0.
-2276, -1
Find r such that 3*r**2 + 219*r + 216 = 0.
-72, -1
Determine k so that -2*k**5/7 + 16*k**4/7 + 24*k**3/7 - 44*k**2/7 - 86*k/7 - 36/7 = 0.
-1, 2, 9
Find v such that v**3/2 + 177*v**2/2 - 1093*v/2 + 915/2 = 0.
-183, 1, 5
Let v**4 - 19*v**3 + 51*v**2 - 49*v + 16 = 0. What is v?
1, 16
Let -m**3/6 - 17*m**2/3 + 37*m/6 + 35/3 = 0. What is m?
-35, -1, 2
Let -2*o**5/15 - 8*o**4/5 - 18*o**3/5 + 8*o**2/15 + 24*o/5 = 0. Calculate o.
-9, -2, 0, 1
Solve 5*k**2 - 200*k = 0 for k.
0, 40
Determine k, given that -2*k**2/7 + 6*k/7 - 4/7 = 0.
1, 2
Factor 2875202*l**2/17 + 4796*l/17 + 2/17.
2*(1199*l + 1)**2/17
Factor -y**3/3 + 401*y**2/3 - 40400*y/3 + 40000/3.
-(y - 200)**2*(y - 1)/3
Suppose -2*w**5 - 2*w**4 + 14*w**3 + 2*w**2 - 12*w = 0. What is w?
-3, -1, 0, 1, 2
What is y in 2*y**3/13 - 10*y**2/13 = 0?
0, 5
Factor -3*j**3 - 8*j**2 + 57*j - 18.
-(j - 3)*(j + 6)*(3*j - 1)
Find t, given that -360724250*t**3/3 + 8938300*t**2 - 221480*t + 5488/3 = 0.
14/565
Factor 3*i**4/5 + 42*i**3/5 + 39*i**2/5.
3*i**2*(i + 1)*(i + 13)/5
Solve -5*c**4 - 1900*c**3 - 178590*c**2 + 362900*c - 182405 = 0 for c.
-191, 1
Factor -j**4/4 - 3*j**3/2 - 13*j**2/4 - 3*j - 1.
-(j + 1)**2*(j + 2)**2/4
Factor 2*m**4 - 2*m**3 - 10*m**2 - 6*m.
2*m*(m - 3)*(m + 1)**2
Factor f**2/5 + 2*f + 24/5.
(f + 4)*(f + 6)/5
Factor 9*r**4 + 6*r**3 - 27*r**2 - 36*r - 12.
3*(r - 2)*(r + 1)**2*(3*r + 2)
What is k in 3*k**3 + 39*k**2 - 258*k + 216 = 0?
-18, 1, 4
Solve -s**3/3 - 154*s**2/3 + 629*s/3 - 158 = 0 for s.
-158, 1, 3
Find m such that m**3 - 152*m**2 + 301*m - 150 = 0.
1, 150
Let -2*s**2 + 464*s - 462 = 0. What is s?
1, 231
Suppose -9*h**3 - 142*h**2 + 356*h - 72 = 0. What is h?
-18, 2/9, 2
Solve -f**3 + 51*f**2 + 54*f - 104 = 0 for f.
-2, 1, 52
What is z in -27*z**5/5 + 99*z**4/5 - 69*z**3/5 - 47*z**2/5 + 8*z/5 + 4/5 = 0?
-1/3, 1/3, 2
Determine v, given that 2*v**3 + 18*v**2 + 52*v + 48 = 0.
-4, -3, -2
Solve -45*p**5/2 - 2793*p**4 - 372*p**3 = 0 for p.
-124, -2/15, 0
Find l such that -2*l**3/9 - 2*l**2/9 + 40*l/9 = 0.
-5, 0, 4
Suppose 3*t**3 + 3*t**2 = 0. What is t?
-1, 0
Factor 2*g**5/5 - 12*g**4 + 120*g**3 - 464*g**2 + 768*g - 2304/5.
2*(g - 12)**2*(g - 2)**3/5
Suppose -4*l**3/3 - 284*l**2/3 = 0. What is l?
-71, 0
Factor -2*l**2 - 3360*l - 1411200.
-2*(l + 840)**2
Find z such that 14*z**3 + 109*z**2 - 24*z = 0.
-8, 0, 3/14
Factor 2*w**2/9 - 824*w/3.
2*w*(w - 1236)/9
Determine h, given that -5*h**2 + 425*h - 1230 = 0.
3, 82
Factor -14*c**2 - 44*c + 48.
-2*(c + 4)*(7*c - 6)
Factor m**4/3 + 14*m**3/3 + 49*m**2/3 + 12*m.
m*(m + 1)*(m + 4)*(m + 9)/3
What is d in d**4 + 34*d**3 + 312*d**2 + 256*d - 2048 = 0?
-16, -4, 2
Find m, given that m**2 - 183*m - 184 = 0.
-1, 184
Factor 27*x**2 - 825*x - 372.
3*(x - 31)*(9*x + 4)
Factor -l**3/3 + 5*l**2/3 - 8*l/3 + 4/3.
-(l - 2)**2*(l - 1)/3
Solve -r**5/5 - 2*r**4/5 + r**3/5 + 2*r**2/5 = 0 for r.
-2, -1, 0, 1
Let -5*g**5/7 + 128*g**4/7 - 493*g**3/7 + 202*g**2/7 + 24*g = 0. Calculate g.
-2/5, 0, 1, 4, 21
Factor -3*i**2 - 5766*i - 2770563.
-3*(i + 961)**2
Suppose 4*v**3 + 376*v**2 + 372*v = 0. What is v?
-93, -1, 0
Factor -3*s**4 + 9*s**3 - 3*s**2 - 9*s + 6.
-3*(s - 2)*(s - 1)**2*(s + 1)
Let -5*u**2 + 95*u - 90 = 0. Calculate u.
1, 18
Factor 5*f**2 - 9180*f + 4213620.
5*(f - 918)**2
What is m in 3*m**2/5 - 6*m + 27/5 = 0?
1, 9
Suppose m**2/3 + 26*m + 507 = 0. What is m?
-39
Factor -3*c**5 + 54*c**4 - 171*c**3 - 1272*c**2 + 4032*c + 13824.
-3*(c - 8)**3*(c + 3)**2
Find l, given that -l**2/3 + 2740*l/3 - 1876900/3 = 0.
1370
Suppose -5*r**2 - 190*r + 615 = 0. What is r?
-41, 3
Factor -4*u**2 + 12*u + 40.
-4*(u - 5)*(u + 2)
What is u in u**2/3 + 14*u - 43/3 = 0?
-43, 1
What is h in 5*h**2/4 + 10*h + 15 = 0?
-6, -2
Factor -s**5 - 12*s**4 - 33*s**3 + 34*s**2 + 84*s - 72.
-(s - 1)**2*(s + 2)*(s + 6)**2
Factor 5*b**3 + 40*b**2 + 80*b.
5*b*(b + 4)**2
Suppose -m**4/8 + 273*m**3/8 - 19037*m**2/8 + 55215*m/8 - 18225/4 = 0. What is m?
1, 2, 135
Suppose -2*x**4/3 + 70*x**3/3 + 128*x**2 + 632*x/3 + 320/3 = 0. Calculate x.
-2, -1, 40
Factor -5*x**4 + 365*x**3 - 1380*x**2.
-5*x**2*(x - 69)*(x - 4)
Suppose -r**3/2 + 36*r**2 + 147*r/2 + 37 = 0. Calculate r.
-1, 74
Determine y so that 4*y**4 + 380*y**3 + 1436*y**2 - 1820*y = 0.
-91, -5, 0, 1
Factor 2*t**3/7 - 8*t/7.
2*t*(t - 2)*(t + 2)/7
Factor 4*z**3 - 64*z**2 - 444*z + 504.
4*(z - 21)*(z - 1)*(z + 6)
Factor -2*f**2/5 + 52*f/5.
-2*f*(f - 26)/5
Factor -3*y**2/7 + 369*y/7 - 528.
-3*(y - 112)*(y - 11)/7
What is b in b**2 + 7*b - 198 = 0?
-18, 11
Find b such that 2*b**5 + 166*b**4/9 - 26*b**3 - 1970*b**2/3 - 14800*b/9 - 1000/3 = 0.
-5, -2/9, 6
Find p, given that 2*p**2/17 - 8*p/17 - 10/17 = 0.
-1, 5
Let -2*g**3 + 14*g**2 - 22*g + 10 = 0. What is g?
1, 5
Factor -2*a**2/7 + 2124*a/7 + 2126/7.
-2*(a - 1063)*(a + 1)/7
Factor 17*q**2/6 - 151*q/6 - 3.
(q - 9)*(17*q + 2)/6
Find i, given that i**2/5 + 6*i/5 - 7/5 = 0.
-7, 1
Solve -n**2/3 + 1460*n - 1598700 = 0 for n.
2190
Factor -2*g**2/5 + 12*g - 90.
-2*(g - 15)**2/5
Find d such that 42*d**4/11 - 402*d**3/11 + 1164*d**2/11 - 768*d/11 - 576/11 = 0.
-3/7, 2, 4
Find v, given that 2*v**3/11 - 6*v**2/11 + 8/11 = 0.
-1, 2
Determine j, given that -5*j**3 - 100*j**2 + 1740*j - 5760 = 0.
-32, 6
Factor 2*h**3/3 + 56*h**2/3 - 2*h/3 - 56/3.
2*(h - 1)*(h + 1)*(h + 28)/3
Let -4*l**3 + 24*l**2 + 100*l + 72 = 0. What is l?
-2, -1, 9
Solve x**3 - 31*x**2 + 30*x = 0.
0, 1, 30
What is a in 3*a**4/2 + 78*a**3 + 1158*a**2 + 3744*a + 3456 = 0?
-24, -2
What is m in m**3 - 118*m**2/3 - 27*m + 40/3 = 0?
-1, 1/3, 40
Determine z so that -5*z**2 + 175*z - 170 = 0.
1, 34
Suppose -3*x**4/5 + 3*x**3/5 + 21*x**2/5 - 3*x/5 - 18/5 = 0. Calculate x.
-2, -1, 1, 3
Let -2*k**2/3 - 628*k/3 + 1264/3 = 0. Calculate k.
-316, 2
Factor s**4/2 + 1930*s**3 + 2793675*s**2 + 1797264250*s + 867180000625/2.
(s + 965)**4/2
Factor -4*a**4 - 148*a**3 + 156*a**2 + 148*a - 152.
-4*(a - 1)**2*(a + 1)*(a + 38)
Solve 4*m**5 - 1584*m**4 + 235224*m**3 - 15524784*m**2 + 384238404*m = 0 for m.
0, 99
Factor -d**3 + 4*d.
-d*(d - 2)*(d + 2)
Find l, given that 5*l**3/4 - 29*l**2 + 23*l/4 = 0.
0, 1/5, 23
Factor m**5/2 + 23*m**4/2 - 411*m**3 + 2150*m**2 - 4076*m + 2640.
(m - 15)*(m - 2)**3*(m + 44)/2
What is a in -a**3/5 - 284*a**2 - 502677*a/5 + 1011042/5 = 0?
-711, 2
Suppose 14*c**5 + 114*c**4 + 268*c**3 + 260*c**2 + 102*c + 10 = 0. What is c?
-5, -1, -1/7
Factor -4*f**4 - 4*f**3.
-4*f**3*(f + 1)
Factor 3*y**3/2 - 108*y**2 - 675*y/2.
3*y*(y - 75)*(y + 3)/2
Suppose 2*v**5/11 - 18*v**4/11 - 76*v**3/11 + 84*v**2 - 98*v - 2058/11 = 0. What is v?
-7, -1, 3, 7
Solve 5*n**2 - 140*n + 980 = 0 for n.
14
Factor -2*w**2/7 - 50*w/7.
-2*w*(w + 25)/7
Solve -3*r**5 + 6*r**4 - 6*r**2 + 3*r = 0 for r.
-1, 0, 1
What is b in -5*b**3/4 - 15*b**2/2 - 55*b/4 - 15/2 = 0?
-3, -2, -1
Suppose 14*r**4 + 1396*r**3 - 400*r**2 = 0. Calculate r.
-100, 0, 2/7
Factor 5*x**4 + 1025*x**3 + 70380*x**2 + 1641520*x + 1572160.
5*(x + 1)*(x + 68)**3
Suppose -3*y**4 - 205*y**3/4 - 7*y**2/4 + 173*y/4