**3 + 12*l**2 + 504*l + 864 = 0.
-6, -3, 4
Factor 160*i**2/3 + 16*i/3 + 2/15.
2*(20*i + 1)**2/15
Solve 67*i**5 + 3*i**4/2 - 201*i**3 + 259*i**2/2 + 3*i = 0 for i.
-2, -3/134, 0, 1
Factor -3*l**2 - 7260*l - 4392300.
-3*(l + 1210)**2
Factor 3*n**3/2 + 333*n**2/2 + 4860*n + 13122.
3*(n + 3)*(n + 54)**2/2
Factor 2*h**2 + 52*h + 338.
2*(h + 13)**2
Let -32*b**5/9 - 1520*b**4/9 + 5608*b**3/9 - 1772*b**2/3 - 64*b + 204 = 0. Calculate b.
-51, -1/2, 1, 3/2
Factor h**2/2 + 1017*h + 1034289/2.
(h + 1017)**2/2
Solve 3*t**3 + 54*t**2/5 - 504*t/5 + 192/5 = 0 for t.
-8, 2/5, 4
Suppose -4*g**3 + 16*g**2 - 16*g = 0. What is g?
0, 2
Let -108*s**3/5 + 183*s**2/5 - 77*s/5 + 2/5 = 0. Calculate s.
1/36, 2/3, 1
Factor -i**4/11 - 26*i**3/11 - 216*i**2/11 - 486*i/11 + 729/11.
-(i - 1)*(i + 9)**3/11
Solve 2*p**4 + 20*p**3 + 58*p**2 + 64*p + 24 = 0 for p.
-6, -2, -1
Suppose 3*f**5 + 9*f**4 + 3*f**3 - 9*f**2 - 6*f = 0. What is f?
-2, -1, 0, 1
Suppose 2*w**5/7 - 136*w**4/7 + 264*w**3 + 16564*w**2/7 - 1850*w/7 - 16428/7 = 0. What is w?
-6, -1, 1, 37
Factor -14*j**2/19 + 2018*j/19 - 2288/19.
-2*(j - 143)*(7*j - 8)/19
Solve -j**2/5 - 1402*j/5 - 491401/5 = 0.
-701
Suppose k**5/3 - 46*k**4/9 + 6*k**3 + 32*k**2/9 - 19*k/3 + 14/9 = 0. What is k?
-1, 1/3, 1, 14
Factor -16*q**3 - 44*q**2 + 76*q - 16.
-4*(q - 1)*(q + 4)*(4*q - 1)
Find j such that -3*j**5 - 78*j**4 + 84*j**3 + 78*j**2 - 81*j = 0.
-27, -1, 0, 1
Factor -2*m**2/5 + 502*m/15 - 332/15.
-2*(m - 83)*(3*m - 2)/15
Find x such that -3*x**3/5 - 6*x**2/5 - 3*x/5 = 0.
-1, 0
Factor -3*c**3 - 924*c**2 + 927*c.
-3*c*(c - 1)*(c + 309)
Suppose 5*f**2 + 910*f + 41405 = 0. What is f?
-91
Factor m**3 - 14*m**2 - 68*m - 72.
(m - 18)*(m + 2)**2
Factor -2*y**5/5 + 4*y**4/5 + 6*y**3/5 - 8*y**2/5 - 8*y/5.
-2*y*(y - 2)**2*(y + 1)**2/5
Solve -2*l**2/5 + 208*l/5 - 5408/5 = 0 for l.
52
Factor 2*w**3 + 98*w**2 - 202*w + 102.
2*(w - 1)**2*(w + 51)
Solve 4*b**2/5 + 38*b/5 + 12 = 0 for b.
-15/2, -2
Factor 3*z**2 + 267*z + 1722.
3*(z + 7)*(z + 82)
Suppose -g**2/4 + 11*g/2 + 42 = 0. Calculate g.
-6, 28
Factor -37*d**3/3 + 146*d**2/3 - 103*d/3 - 2.
-(d - 3)*(d - 1)*(37*d + 2)/3
Factor 3561*m**3/8 + 1779*m**2/2 + 3549*m/8 - 3/4.
3*(m + 1)**2*(1187*m - 2)/8
Factor 3*k**2/5 + 13548*k/5 + 15295692/5.
3*(k + 2258)**2/5
Factor 5*z**4 + 110*z**3 - 115*z**2.
5*z**2*(z - 1)*(z + 23)
Suppose -3*a**4 - 98*a**3 - 912*a**2 - 1710*a + 675 = 0. Calculate a.
-15, -3, 1/3
Let 21*q**4/5 - 50637*q**3/5 - 36186*q**2/5 + 14472*q/5 = 0. Calculate q.
-1, 0, 2/7, 2412
Let 2*h**4/23 - 4*h**2/23 + 2/23 = 0. Calculate h.
-1, 1
Determine t, given that -2*t**4 + 118*t**3 - 1676*t**2 - 2040*t + 3600 = 0.
-2, 1, 30
Solve -372*z**3 + 1852*z**2 + 2272*z + 48 = 0 for z.
-1, -2/93, 6
Factor -2*t**3 + 226*t**2 - 6270*t - 6498.
-2*(t - 57)**2*(t + 1)
Suppose 2*k**5 + 66*k**4 + 526*k**3 + 1598*k**2 + 1872*k + 736 = 0. What is k?
-23, -4, -1
Suppose -12*z**3 + 72*z**2 + 183*z + 72 = 0. Calculate z.
-3/2, -1/2, 8
Find o such that -4*o**3 - 884*o**2 + 888*o = 0.
-222, 0, 1
Determine j so that 4*j**5 - 332*j**4 + 6716*j**3 + 7388*j**2 - 6720*j - 7056 = 0.
-1, 1, 42
What is z in -z**2/11 - 2*z - 40/11 = 0?
-20, -2
Suppose -3*y**3 - 4860*y**2 + 3*y + 4860 = 0. Calculate y.
-1620, -1, 1
Factor n**4/2 + 13*n**3/2 + 35*n**2/2 - 49*n/2.
n*(n - 1)*(n + 7)**2/2
Suppose 2*g**2 + 247*g + 123 = 0. Calculate g.
-123, -1/2
Factor -o**3/4 + 13*o**2 + 59*o/4 - 159/2.
-(o - 53)*(o - 2)*(o + 3)/4
Factor -243*n**2 + 7344*n - 55488.
-3*(9*n - 136)**2
Determine q so that -2*q**3 + 16*q**2 - 34*q + 20 = 0.
1, 2, 5
Suppose y**2/3 + 4*y + 9 = 0. What is y?
-9, -3
Factor -2*h**4 - 22*h**3 - 38*h**2 - 18*h.
-2*h*(h + 1)**2*(h + 9)
Let -2178*m**5 - 6270*m**4 - 5750*m**3 - 1410*m**2 + 240*m - 8 = 0. Calculate m.
-1, 2/33
Factor -2*a**4 + 10*a**3.
-2*a**3*(a - 5)
Factor 4*h**3/3 + 8*h**2/3 - 4*h.
4*h*(h - 1)*(h + 3)/3
Find d, given that 27*d**2/8 + 1221*d/8 + 135/4 = 0.
-45, -2/9
Suppose 2*l**4 + 6*l**3 - 8*l**2 - 24*l = 0. What is l?
-3, -2, 0, 2
Suppose 2*b**5/9 + 8*b**4/9 - 22*b**3/9 - 124*b**2/9 - 160*b/9 - 64/9 = 0. Calculate b.
-4, -2, -1, 4
Factor 5*m**4 - 40*m**3 + 85*m**2 - 50*m.
5*m*(m - 5)*(m - 2)*(m - 1)
Find l such that -5*l**2 + 1580*l - 124820 = 0.
158
Factor 4*j**2/9 - 16*j/9 + 4/3.
4*(j - 3)*(j - 1)/9
Find p such that 35*p**5 - 340*p**4 - 4685*p**3 - 9290*p**2 - 6060*p - 1080 = 0.
-6, -1, -2/7, 18
Factor -m**5 - 48*m**4 + 108*m**3 + 400*m**2.
-m**2*(m - 4)*(m + 2)*(m + 50)
Solve a**3/6 + 2885*a**2/2 + 8323225*a/2 + 24012504125/6 = 0 for a.
-2885
Factor 80*l**3/3 - 3880*l**2/3 - 10075*l/3 - 2125.
5*(l - 51)*(4*l + 5)**2/3
Find v such that 2*v**2 - 308*v - 310 = 0.
-1, 155
Suppose -4*u**2/5 - 184*u/5 - 2116/5 = 0. What is u?
-23
Factor -2*m**2 + 120*m + 378.
-2*(m - 63)*(m + 3)
Let o**5/4 - 47*o**4/4 + 97*o**3 + 1201*o**2 - 4316*o - 5408 = 0. Calculate o.
-8, -1, 4, 26
Factor 2*i**2 + 142*i + 140.
2*(i + 1)*(i + 70)
Suppose -3*g**4/4 + 9*g**3/4 + 21*g**2/2 - 9*g - 30 = 0. Calculate g.
-2, 2, 5
Factor 5*r**3 - 12605*r**2 + 12600*r.
5*r*(r - 2520)*(r - 1)
What is r in 5*r**2/3 - 47140*r/3 + 111108980/3 = 0?
4714
Factor 2*f**3 - 4242*f**2 + 2999094*f - 706786486.
2*(f - 707)**3
Find j, given that -2*j**4 - 66*j**3/5 - 42*j**2/5 + 178*j/5 - 12 = 0.
-5, -3, 2/5, 1
Solve -4*f**3 + 252*f**2 - 4092*f + 3844 = 0 for f.
1, 31
Factor -2*v**3 + 2*v**2 + 40*v.
-2*v*(v - 5)*(v + 4)
Factor 27*d**4/2 + 738*d**3 + 9582*d**2 - 13776*d + 4704.
3*(d + 28)**2*(3*d - 2)**2/2
Suppose k**4/5 - 23*k**3/5 - k**2/5 + 23*k/5 = 0. Calculate k.
-1, 0, 1, 23
Let h**2/2 - 425*h + 849/2 = 0. What is h?
1, 849
Solve 3*f**3/8 + 45*f**2/2 - 189*f/8 - 183/4 = 0.
-61, -1, 2
Find u, given that 3*u**2 - 219*u - 222 = 0.
-1, 74
What is h in -47*h**4/4 - 139*h**3/4 + 429*h**2/4 - 253*h/4 + 5/2 = 0?
-5, 2/47, 1
Factor 2*y**3 + 6*y**2 - 122*y - 126.
2*(y - 7)*(y + 1)*(y + 9)
Factor 3*x**2/4 - 30*x - 468.
3*(x - 52)*(x + 12)/4
Factor -5*z**3/3 - 150*z**2 - 955*z + 3320/3.
-5*(z - 1)*(z + 8)*(z + 83)/3
Factor 18*n**3/7 + 94956*n**2/7 - 63310*n/7 + 10552/7.
2*(n + 5276)*(3*n - 1)**2/7
Factor -3*w**2/5 - 3*w.
-3*w*(w + 5)/5
Let 4*a**2/5 + 40656*a/5 + 103306896/5 = 0. Calculate a.
-5082
Factor 5*w**2 + 5*w - 60.
5*(w - 3)*(w + 4)
Factor 2*g**3/11 + 184*g**2/11 - 2*g/11 - 184/11.
2*(g - 1)*(g + 1)*(g + 92)/11
Suppose -15*f**3 - 25*f**2/2 + 20*f + 35/2 = 0. Calculate f.
-1, 7/6
Factor 57*h**2/4 + 51*h/4 - 3/2.
3*(h + 1)*(19*h - 2)/4
Factor x**2 + 564*x + 563.
(x + 1)*(x + 563)
Factor -8*n**3 - 4*n**2.
-4*n**2*(2*n + 1)
Factor -3*k**2 - 12612*k - 13255212.
-3*(k + 2102)**2
Let 2*k**4/13 - 20*k**3/13 + 64*k**2/13 - 64*k/13 = 0. Calculate k.
0, 2, 4
Factor 2*d**2/11 - 168*d/11 + 3528/11.
2*(d - 42)**2/11
Suppose -4*h**4 + 40*h**3 + 92*h**2 + 48*h = 0. Calculate h.
-1, 0, 12
Factor u**2/2 - 3933*u + 15468489/2.
(u - 3933)**2/2
Factor -s**2/2 + 8*s - 55/2.
-(s - 11)*(s - 5)/2
Factor 2*s**4/7 + 54*s**3/7 + 390*s**2/7 + 338*s/7.
2*s*(s + 1)*(s + 13)**2/7
Find z, given that 4*z**3 - 964*z**2 - 1940*z - 972 = 0.
-1, 243
Factor v**3 + 3*v**2 + 3*v + 1.
(v + 1)**3
Find c such that c**3 + 24*c**2 + 45*c + 22 = 0.
-22, -1
Find u such that 10*u**3 + 332*u**2/3 + 320*u/3 = 0.
-10, -16/15, 0
Factor -i**2 - 222*i + 675.
-(i - 3)*(i + 225)
Factor n**2 - 163*n - 164.
(n - 164)*(n + 1)
Factor 10*f**3/9 + 116*f**2/9 - 16*f/3.
2*f*(f + 12)*(5*f - 2)/9
Factor -d**2 - 34*d - 289.
-(d + 17)**2
Solve -2*n**2/9 + 2960*n/9 - 1095200/9 = 0 for n.
740
Find b, given that -4*b**3 - 280*b**2 - 812*b - 536 = 0.
-67, -2, -1
Suppose m**3/6 - 20*m**2/3 + 77*m/2 = 0. Calculate m.
0, 7, 33
Factor 2*b**2/9 - 6*b - 476/9.
2*(b - 34)*(b + 7)/9
Find y, given that 2*y**4/11 - 32*y**3/11 + 172*y**2/11 - 32*y + 210/11 = 0.
1, 3, 5, 7
Factor h**3 - 1409*h**2 + 495615*h + 497025.
(h - 705)**2*(h + 1)
What is y in -3*y**4 + 24*y**3 - 384*y + 768 = 0?
-4, 4
Factor d**4 - 60*d**3 - 108*d**2 + 30240*d + 254016.
(d - 42)**2*(d + 12)**2
Solve v**4/4 - v**3/4 - 3*v**2 - v + 4 = 0 for v.
-2, 1, 4
Determine p, given that 12*p**4 - 1384*p**3 + 448*p**2 + 1384*p - 460 = 0.
-1, 1/3, 1, 115
Factor v**4/4 + 5*v**3/2 + 17*v**2/4 + 2*v.
v*(v + 1)**2*(v + 8)/4
Factor -2*u**3 + 206*u**2 - 406*u + 202.
-2*(u - 101)*(u - 1)**2
Let 3*i**3/4 - 93*i**2/2 + 705*i/4 - 261/2 = 0. Calculate i.
1, 3, 58
Factor 6*h**5 - 22*h**4