
-4*j**2*(j + 3)*(j + 8)/9
Solve -2*j**4 + 5*j**3 - j**2 - 2*j = 0 for j.
-1/2, 0, 1, 2
What is c in -4*c**4 + 132*c**3 + 144*c**2 - 272*c = 0?
-2, 0, 1, 34
Factor 3*m**4 + 17*m**3 - 293*m**2/3 - 211*m/3 - 12.
(m - 4)*(m + 9)*(3*m + 1)**2/3
Solve 5*j**3/3 + 1180*j**2/3 - 2405*j + 3630 = 0 for j.
-242, 3
Determine h, given that h**3 + 183*h**2 - 373*h - 555 = 0.
-185, -1, 3
Factor l**2/2 - 2974*l + 4422338.
(l - 2974)**2/2
Let -15*w**4 - 425*w**3 - 100*w**2 + 1100*w - 560 = 0. What is w?
-28, -2, 2/3, 1
Factor 2*p**4/3 + 120*p**3 + 6164*p**2 + 35912*p/3 - 4210682.
2*(p - 21)*(p + 67)**3/3
Factor 2*s**2/3 - 6*s + 28/3.
2*(s - 7)*(s - 2)/3
Factor -2*c**4/13 + 22*c**3/13 + 24*c**2/13.
-2*c**2*(c - 12)*(c + 1)/13
Suppose 8*z**3/3 + 156*z**2 + 1924*z/3 - 360 = 0. Calculate z.
-54, -5, 1/2
Let 4*l**4 - 40*l**3 + 84*l**2 = 0. Calculate l.
0, 3, 7
Solve -5*r**5 - 235*r**4 - 4335*r**3 - 39105*r**2 - 171720*r - 291600 = 0 for r.
-12, -9, -5
Factor g**5/3 + 18*g**4 + 781*g**3/3 + 468*g**2 + 676*g/3.
g*(g + 1)**2*(g + 26)**2/3
What is l in -25*l**3/4 + 135*l**2/4 - 231*l/4 + 121/4 = 0?
1, 11/5
What is k in 2*k**4 - 12*k**3 + 24*k**2 - 20*k + 6 = 0?
1, 3
Factor 188498*y**2 + 1228*y + 2.
2*(307*y + 1)**2
Factor -2*t**5 - 72*t**4 - 136*t**3 + 4*t**2 + 138*t + 68.
-2*(t - 1)*(t + 1)**3*(t + 34)
Let -2*k**2 + 328*k = 0. Calculate k.
0, 164
Factor n**4/8 + 9*n**3/8 - 13*n**2/2.
n**2*(n - 4)*(n + 13)/8
Factor 4*l**2/7 + 416*l/7 + 10816/7.
4*(l + 52)**2/7
Factor 4*c**2 - 252*c + 248.
4*(c - 62)*(c - 1)
Let -21*m**3/2 + 459*m**2 - 4950*m - 1452 = 0. Calculate m.
-2/7, 22
Solve -r**4/4 + 13*r**3/4 + 4*r**2 - 7*r = 0.
-2, 0, 1, 14
Solve 3*j**2 + 201*j - 630 = 0 for j.
-70, 3
Solve 2*p**5 - 2*p**4 - 90*p**3 - 70*p**2 + 688*p + 672 = 0.
-4, -1, 3, 7
Find x, given that -4*x**3 + 716*x**2 - 2816*x + 2800 = 0.
2, 175
Factor 2*o**5 + 56*o**4 - 180*o**3 + 184*o**2 - 62*o.
2*o*(o - 1)**3*(o + 31)
Factor 2*o**3/21 + 226*o**2/21 - 458*o/21 + 230/21.
2*(o - 1)**2*(o + 115)/21
Suppose -l**2/4 + 139*l + 557/4 = 0. What is l?
-1, 557
Determine l so that -50*l**4 + 95*l**3 + 20*l**2 - 20*l = 0.
-1/2, 0, 2/5, 2
Suppose -3*c**3/5 + 57*c**2/5 - 318*c/5 + 432/5 = 0. What is c?
2, 8, 9
Factor 4*u**3 - 8*u**2 - 172*u - 160.
4*(u - 8)*(u + 1)*(u + 5)
Find p such that 20*p**5 + 584*p**4 + 1556*p**3 - 13072*p**2 + 13328*p + 3200 = 0.
-25, -8, -1/5, 2
Find l such that -10*l**4 - 52*l**3 - 80*l**2 - 44*l - 6 = 0.
-3, -1, -1/5
Determine p so that -2*p**5/9 + 2*p**4 + 26*p**3/9 - 274*p**2/9 - 224*p/3 - 392/9 = 0.
-2, -1, 7
Find u, given that 2*u**2/3 + 14*u/3 - 16/3 = 0.
-8, 1
Find z such that -2*z**4/3 + 34*z**2/3 - 32/3 = 0.
-4, -1, 1, 4
Find a, given that 180*a**2 + 185*a + 35 = 0.
-7/9, -1/4
Factor -3*r**2/8 + 90*r + 1107/2.
-3*(r - 246)*(r + 6)/8
Solve 4*d**5 + 48*d**4 + 152*d**3 + 208*d**2 + 132*d + 32 = 0.
-8, -1
Factor 4*b**3/9 - 920*b**2/9 + 51968*b/9 + 107648/9.
4*(b - 116)**2*(b + 2)/9
Factor -3*y**3/8 - 26*y**2 - 3535*y/8 + 1225/4.
-(y + 35)**2*(3*y - 2)/8
Factor -c**2/5 + 42*c/5 + 27.
-(c - 45)*(c + 3)/5
Suppose 4*c**3 - 20*c**2 + 12*c + 36 = 0. Calculate c.
-1, 3
Factor -2*w**2/5 + 152*w/5 - 2888/5.
-2*(w - 38)**2/5
Solve 2*r**5 + 44*r**4 + 332*r**3 + 824*r**2 - 910*r - 4900 = 0.
-7, -5, 2
Factor -4*l**3/5 - 221*l**2/5 + 401*l/5 + 114/5.
-(l - 2)*(l + 57)*(4*l + 1)/5
Factor 4*g**3 + 7860*g**2 + 5148300*g + 1124045500.
4*(g + 655)**3
Let 5*m**2 + 65*m - 70 = 0. Calculate m.
-14, 1
Let -p**3/3 + 92*p**2/3 - 181*p/3 + 30 = 0. Calculate p.
1, 90
Suppose 4*s**4 + 504*s**3 + 11664*s**2 - 629856*s - 22674816 = 0. Calculate s.
-54, 36
Suppose -2*s**5/23 - 28*s**4/23 + 62*s**3/23 - 32*s**2/23 = 0. Calculate s.
-16, 0, 1
Determine d so that -27*d**5 - 237*d**4 + 135*d**3 + 657*d**2 - 636*d + 108 = 0.
-9, -2, 2/9, 1
What is w in 4*w**2 + 2612*w = 0?
-653, 0
Solve 2*w**2/3 - 392/3 = 0.
-14, 14
Factor -3*v**2/5 - 327*v/5 + 66.
-3*(v - 1)*(v + 110)/5
Factor -o**4/8 - 5*o**3/2 + 67*o**2/8 - 23*o/4.
-o*(o - 2)*(o - 1)*(o + 23)/8
Factor 2*c**2/9 - 52*c/9.
2*c*(c - 26)/9
Factor -4368100*w**3 - 8719480*w**2 + 33424*w - 32.
-4*(w + 2)*(1045*w - 2)**2
Determine b so that -5*b**2 + 510*b - 13005 = 0.
51
Factor t**3 - 103*t**2/2 + 650*t + 338.
(t - 26)**2*(2*t + 1)/2
Factor 4*r**2/7 + 36*r/7 - 40/7.
4*(r - 1)*(r + 10)/7
Factor -2*r**2 + 228*r.
-2*r*(r - 114)
Factor -x**2/3 - 4*x + 13/3.
-(x - 1)*(x + 13)/3
Determine d so that 32*d**5/13 - 1776*d**4/13 - 214*d**3 + 2592*d**2/13 + 1706*d/13 + 228/13 = 0.
-2, -1/4, 1, 57
Determine o, given that 5*o**2 - 30*o - 35 = 0.
-1, 7
Find t such that -3*t**2 - 33*t + 36 = 0.
-12, 1
Let 15*o**2/4 - 275*o/4 - 95/2 = 0. What is o?
-2/3, 19
Determine w so that -4*w**2 + 1024*w - 2032 = 0.
2, 254
Solve -2*f**3 - 32*f**2 - 30*f = 0 for f.
-15, -1, 0
Determine s so that -4*s**5/5 - 98*s**4/15 - 232*s**3/15 - 12*s**2/5 + 108*s/5 + 18/5 = 0.
-3, -1/6, 1
Factor a**2/9 - 7*a/9 + 10/9.
(a - 5)*(a - 2)/9
Factor 5*i**4 - 200*i**3 + 2190*i**2 - 3800*i + 1805.
5*(i - 19)**2*(i - 1)**2
Let 2*g**3/5 - g**2 - 3*g/5 = 0. What is g?
-1/2, 0, 3
Let -2*m**2 - 24*m - 64 = 0. What is m?
-8, -4
Find v such that -2*v**4/11 - 72*v**3/11 - 196*v**2/11 + 72*v/11 + 18 = 0.
-33, -3, -1, 1
Determine d so that 4*d**3 - 32*d**2 + 64*d = 0.
0, 4
Suppose -3*d**5 - 27*d**4 - 39*d**3 + 135*d**2 + 150*d = 0. What is d?
-5, -1, 0, 2
Let -2*p**2/13 - 82*p/13 = 0. What is p?
-41, 0
Factor -8*c**2/23 + 254*c/23 + 64/23.
-2*(c - 32)*(4*c + 1)/23
Solve -9*j**4 - 111*j**3 + 204*j**2 - 84*j = 0.
-14, 0, 2/3, 1
Solve -3*p**4/7 + 15*p**3/7 + 9*p**2/7 - 39*p/7 - 30/7 = 0 for p.
-1, 2, 5
Factor -14*k**4 + 410*k**3 - 116*k**2.
-2*k**2*(k - 29)*(7*k - 2)
Factor -3721*v**4/4 - 5185*v**3/2 - 10153*v**2/4 - 1020*v - 144.
-(v + 1)**2*(61*v + 24)**2/4
What is c in c**4/3 + 2*c**3/3 - 7*c**2/3 - 8*c/3 + 4 = 0?
-3, -2, 1, 2
Suppose c**5/3 - c**3 - 2*c**2/3 = 0. Calculate c.
-1, 0, 2
Let -2*n**5/9 - 4*n**4/3 - 2*n**3 + 8*n**2/9 + 8*n/3 = 0. Calculate n.
-3, -2, 0, 1
Let 2*u**3/13 - 20*u**2 + 1746*u/13 - 2952/13 = 0. Calculate u.
3, 4, 123
Solve -f**2/2 + 7*f/2 + 4 = 0.
-1, 8
Factor g**3/3 + 25*g**2 + 625*g + 15625/3.
(g + 25)**3/3
Factor -2*y**4/5 + 96*y**3/5 - 828*y**2/5 - 7776*y/5 - 13122/5.
-2*(y - 27)**2*(y + 3)**2/5
Factor 2*r**4/3 + 392*r**3/3 + 8580*r**2 + 574600*r/3 + 549250/3.
2*(r + 1)*(r + 65)**3/3
Find w such that 2*w**5 + 18*w**4 + 18*w**3 - 242*w**2 - 804*w - 720 = 0.
-5, -3, -2, 4
What is x in 3*x**5 + 75*x**4 + 252*x**3 - 48*x**2 - 1056*x - 1008 = 0?
-21, -2, 2
Factor -j**2/4 - 546*j.
-j*(j + 2184)/4
Find n such that -n**2/2 + 31*n/2 + 90 = 0.
-5, 36
Suppose -14*h**4 + 396*h**3 - 112*h**2 = 0. What is h?
0, 2/7, 28
Factor -2*v**3/15 - 826*v**2/15 - 5658*v + 28566/5.
-2*(v - 1)*(v + 207)**2/15
Determine h, given that -8*h**4 + 212*h**3 - 492*h**2 + 288*h = 0.
0, 1, 3/2, 24
Factor q**5/5 - 6*q**4/5 + q**3.
q**3*(q - 5)*(q - 1)/5
Suppose -q**5/6 - 5*q**4 - 35*q**3/2 - 10*q**2/3 + 26*q = 0. Calculate q.
-26, -3, -2, 0, 1
Suppose 8*x**4/11 - 134*x**3/11 - 34*x**2/11 = 0. Calculate x.
-1/4, 0, 17
Factor 4*a**2 - 16*a + 12.
4*(a - 3)*(a - 1)
Factor 3*t**5 + 15*t**4 - 24*t**3 - 144*t**2.
3*t**2*(t - 3)*(t + 4)**2
Solve 3*b**3/2 - 54*b**2 - 345*b/2 - 117 = 0.
-2, -1, 39
Factor 3*w**3/5 - 3*w**2 - 3*w/5 + 3.
3*(w - 5)*(w - 1)*(w + 1)/5
Solve -8*b**5 + 21*b**4 + 57*b**3 - 46*b**2 - 24*b = 0.
-2, -3/8, 0, 1, 4
Suppose -i**5/9 - 668*i**4/9 - 3985*i**3/9 - 8618*i**2/9 - 7948*i/9 - 2648/9 = 0. What is i?
-662, -2, -1
Solve 32*u**5 + 176*u**4 + 312*u**3 + 244*u**2 + 88*u + 12 = 0 for u.
-3, -1, -1/2
Factor -3*c**2 - 46482*c - 180048027.
-3*(c + 7747)**2
Factor 2*m**2 + 5604*m + 3925602.
2*(m + 1401)**2
Factor 2*q**4/5 - 44*q**3/5 + 16*q**2.
2*q**2*(q - 20)*(q - 2)/5
Factor -5*r**3 + 560*r**2 - 11025*r - 277830.
-5*(r - 63)**2*(r + 14)
Factor 2*z**4/5 - 6*z**3 + 72*z**2/5.
2*z**2*(z - 12)*(z - 3)/5
Factor b**4 + 290*b**3 + 20733*b**2 - 42340*b + 21316.
(b - 1)**2*(b + 146)**2
Determine i, given that -2*i**3/7 + 12*i**2/7 + 32*i/7 = 0.
-2, 0, 8
Factor 3*q**3 + 6*q**2 - 39*q + 30.
3*(q - 2)*(q - 1)*(q + 5)
Factor -u**2/4 + 3*u/2 - 5/4.
-(u - 5)*(u - 1)/4
Determine v so that -3*v**2 - 27*v + 210 = 0.
-14, 5
What is i in 24*i**5 - 114*i**4 + 171*i**3 - 84*i**2 + 12*i = 0?
0, 1/4, 1/2, 2
Let -3*h**3 + 174*h**2 - 2688*h + 4704 =