*3 - 63*y**2 - 27*y.
3*y*(y - 3)*(8*y + 3)
Suppose 3*n**2/5 - 108*n/5 - 96 = 0. What is n?
-4, 40
Determine j so that 62*j**5 + 120*j**4 - 938*j**3 - 1924*j**2 - 864*j + 64 = 0.
-4, -1, 2/31, 4
Factor -w**4/5 + 3*w**3/5 + 28*w**2/5.
-w**2*(w - 7)*(w + 4)/5
Solve -x**4 - 92*x**3 - 2018*x**2 + 4700*x + 6627 = 0.
-47, -1, 3
Determine l, given that 3*l**3 + 4527*l**2 + 1705545*l - 1710075 = 0.
-755, 1
Factor s**3 - 10*s**2 - 192*s + 2016.
(s - 12)**2*(s + 14)
Solve -2*x**2 + 18*x - 16 = 0 for x.
1, 8
Factor 2*y**4/7 - 262*y**3/7 + 8710*y**2/7 - 8450*y/7.
2*y*(y - 65)**2*(y - 1)/7
Suppose 3*p**2/8 + 81*p/4 + 159/8 = 0. Calculate p.
-53, -1
Factor 74*l**2 + 146*l - 4.
2*(l + 2)*(37*l - 1)
Factor -2*b**3/9 - 38*b**2/9 + 418*b/9 - 42.
-2*(b - 7)*(b - 1)*(b + 27)/9
Determine l, given that -6*l**3/5 - 167*l**2/5 - 1148*l/5 + 196/5 = 0.
-14, 1/6
Solve -s**4 + 28*s**3 + 38*s**2 - 252*s - 261 = 0 for s.
-3, -1, 3, 29
Determine q, given that -q**3/3 + q**2/3 + 5*q/3 + 1 = 0.
-1, 3
Factor 62*v**4 + 251*v**3 + 322*v**2 + 139*v + 6.
(v + 1)**2*(v + 2)*(62*v + 3)
Factor -3*n**3/4 - 51*n**2 - 3663*n/4 - 3267/2.
-3*(n + 2)*(n + 33)**2/4
Factor 2*n**3 + 332*n**2 - 2046*n + 3096.
2*(n - 3)**2*(n + 172)
Factor p**4 - 116*p**3 + 563*p**2 - 892*p + 444.
(p - 111)*(p - 2)**2*(p - 1)
Determine c, given that -4*c**5 + 40*c**4 + 276*c**3 - 712*c**2 - 272*c + 672 = 0.
-6, -1, 1, 2, 14
Let 2*s**4 - 14*s**3 - 24*s**2 + 56*s + 64 = 0. Calculate s.
-2, -1, 2, 8
Solve 3*g**4 - 33*g**3 + 78*g**2 - 48*g = 0.
0, 1, 2, 8
Suppose -q**3/2 + 2*q**2 - 5*q/2 + 1 = 0. What is q?
1, 2
Factor -4*g**2 - 68*g.
-4*g*(g + 17)
Determine z so that 3*z**4 - 1515*z**3 - 4563*z**2 - 4569*z - 1524 = 0.
-1, 508
Suppose -3*a**4/2 - 61*a**3/6 - 11*a**2/3 + 58*a/3 - 4 = 0. Calculate a.
-6, -2, 2/9, 1
Determine d, given that -d**4 + 11*d**3 + 25*d**2 + 13*d = 0.
-1, 0, 13
Suppose 2*x**5/11 + 8*x**4 - 582*x**3/11 + 892*x**2/11 - 400*x/11 = 0. What is x?
-50, 0, 1, 4
Solve -75*p**5 - 675*p**4/4 + 399*p**3/2 + 333*p**2/4 - 30*p - 9 = 0 for p.
-3, -2/5, -1/4, 2/5, 1
Let 4*s**5 - 48*s**4 + 168*s**3 - 80*s**2 - 300*s = 0. Calculate s.
-1, 0, 3, 5
Solve -5*m**4 + 280*m**3 - 3630*m**2 - 8120*m - 4205 = 0 for m.
-1, 29
Determine h, given that 8*h**3 + 50*h**2 - 44*h - 14 = 0.
-7, -1/4, 1
What is c in c**3/2 + 13*c**2/4 + 11*c/4 = 0?
-11/2, -1, 0
Solve q**3/7 - 8*q**2/7 - q/7 + 8/7 = 0 for q.
-1, 1, 8
Factor -2*q**2 + 152*q + 1914.
-2*(q - 87)*(q + 11)
Factor 4*u**3 - 56*u**2 + 112*u + 480.
4*(u - 10)*(u - 6)*(u + 2)
Factor -z**5/6 - z**4/2 - z**3/3.
-z**3*(z + 1)*(z + 2)/6
Suppose 5*c**3/2 - 235*c**2/2 - 120*c = 0. What is c?
-1, 0, 48
Find m, given that -2*m**2/7 + 24*m/7 - 40/7 = 0.
2, 10
Factor -i**3 - 17*i**2/2 - i + 24.
-(i + 2)*(i + 8)*(2*i - 3)/2
Find b, given that 16*b**4 + 208*b**3 - 220*b**2 + 56*b = 0.
-14, 0, 1/2
Find s, given that -2*s**3/3 + 2*s**2 - 2*s + 2/3 = 0.
1
Factor -2*m**3/13 + 8*m**2/13 + 178*m/13 + 168/13.
-2*(m - 12)*(m + 1)*(m + 7)/13
Let 18*y**5/7 + 402*y**4/7 + 3390*y**3/7 + 12966*y**2/7 + 2880*y + 5400/7 = 0. What is y?
-6, -5, -1/3
Factor -2*u**2/5 + 22*u/5 - 56/5.
-2*(u - 7)*(u - 4)/5
Solve 4*v**3/3 - 40*v**2/3 - 4*v/3 + 40/3 = 0.
-1, 1, 10
Find u such that -36*u**5 + 861*u**4 - 5112*u**3 - 432*u**2 = 0.
-1/12, 0, 12
Find s, given that 2*s**3/5 + 94*s**2 - 946*s/5 + 474/5 = 0.
-237, 1
Factor 227*v**3/2 + 1363*v**2/3 + 1366*v/3 + 4/3.
(v + 2)**2*(681*v + 2)/6
Factor 2*j**2/5 - 70*j + 1032/5.
2*(j - 172)*(j - 3)/5
Let -2*i**4 - 140*i**3 + 440*i**2 + 140*i - 438 = 0. What is i?
-73, -1, 1, 3
Determine z, given that -z**3/4 - 71*z**2/4 + 145*z/4 - 73/4 = 0.
-73, 1
Find f such that -8*f**5 + 52*f**4 - 44*f**3 = 0.
0, 1, 11/2
Factor -2*a**2/7 - 5504*a/7 - 3786752/7.
-2*(a + 1376)**2/7
Let i**2/3 - 223*i + 1334/3 = 0. What is i?
2, 667
Factor 5*z**4 - 5*z**3 - 20*z**2 + 20*z.
5*z*(z - 2)*(z - 1)*(z + 2)
Solve -2*y**4/23 + 4*y**3/23 = 0 for y.
0, 2
Factor -2*d**3/7 - 520*d**2/7 - 33800*d/7.
-2*d*(d + 130)**2/7
Suppose -2*s**3/3 + 18*s**2 - 34*s + 50/3 = 0. What is s?
1, 25
Solve -s**4 + 8*s**3 + 45*s**2 + 36*s = 0.
-3, -1, 0, 12
Factor -15*m**3 - 129*m**2 - 72*m.
-3*m*(m + 8)*(5*m + 3)
Determine u, given that -4*u**3 + 8*u**2 - 4*u = 0.
0, 1
Suppose 5*l**5 + 140*l**4 - 455*l**3 + 310*l**2 = 0. Calculate l.
-31, 0, 1, 2
Find d such that -16*d**3 + 500*d**2 + 1508*d - 408 = 0.
-3, 1/4, 34
What is s in -3*s**3 + 210*s**2 - 1509*s + 1302 = 0?
1, 7, 62
Solve -2*d**2/3 + 28*d/3 - 32 = 0 for d.
6, 8
Let 14*y**4/9 - 20*y**3/3 + 8*y**2 - 16*y/9 = 0. What is y?
0, 2/7, 2
Find m such that 22*m**4 + 128*m**3 + 86*m**2 - 20*m = 0.
-5, -1, 0, 2/11
Solve -2*u**3/3 - 8*u**2 + 8*u/3 + 160 = 0 for u.
-10, -6, 4
Let -4*c**3 + 384*c**2 - 8820*c - 19208 = 0. Calculate c.
-2, 49
Factor 3*c**2 + 1020*c + 86700.
3*(c + 170)**2
Determine m so that 3*m**2/2 + 369*m/2 - 375 = 0.
-125, 2
Let 98*q**3 + 91*q**2 - 20*q - 25 = 0. What is q?
-5/7, 1/2
Find c such that -c**3/4 - 10*c**2 + 475*c/4 - 625/2 = 0.
-50, 5
Suppose 2*c**3 + 268*c**2 + 2726*c + 2460 = 0. What is c?
-123, -10, -1
Let -14*a**4 + 48*a**3 + 108*a**2 + 16*a - 30 = 0. What is a?
-1, 3/7, 5
Let -5*c**5 - 10*c**4 + 15*c**3 + 40*c**2 + 20*c = 0. Calculate c.
-2, -1, 0, 2
Factor g**3/3 - 79*g**2/3 - 4*g/3 + 316/3.
(g - 79)*(g - 2)*(g + 2)/3
Factor -i**5 - 4*i**4 - 6*i**3 - 4*i**2 - i.
-i*(i + 1)**4
Determine d so that d**5 + 361*d**4 - 2189*d**3 + 4759*d**2 - 4400*d + 1468 = 0.
-367, 1, 2
Factor 5*b**2 - 1305*b - 2630.
5*(b - 263)*(b + 2)
Solve 2*f**4/5 - 2*f**3/5 - 4*f**2 - 16*f/5 = 0.
-2, -1, 0, 4
Factor 2*z**4/7 + 2*z**3 + 30*z**2/7 + 26*z/7 + 8/7.
2*(z + 1)**3*(z + 4)/7
Factor -f**3/4 + 111*f**2/2 + f/4 - 111/2.
-(f - 222)*(f - 1)*(f + 1)/4
Determine b so that -b**2 + 179*b - 354 = 0.
2, 177
Factor -2*g**2/3 - 8*g/9 - 2/9.
-2*(g + 1)*(3*g + 1)/9
Determine z so that -10*z**3 - 84*z**2 - 102*z - 28 = 0.
-7, -1, -2/5
Solve 5*k**5 + 145*k**4 + 515*k**3 + 375*k**2 = 0.
-25, -3, -1, 0
Factor -f**5/3 + 37*f**4/3 - 430*f**3/3 + 1222*f**2/3 + 3887*f/3 + 2197/3.
-(f - 13)**3*(f + 1)**2/3
Factor -2*l**2/9 - 76*l/9 + 26/3.
-2*(l - 1)*(l + 39)/9
Suppose -36*a**5 + 249*a**4 - 507*a**3 + 207*a**2 + 135*a = 0. What is a?
-1/3, 0, 5/4, 3
Solve -2*y**5 - 18*y**4 - 54*y**3 - 62*y**2 - 24*y = 0.
-4, -3, -1, 0
Factor -p**3 + 10*p**2 + 11*p.
-p*(p - 11)*(p + 1)
Solve 6*q**3 - 111*q**2/2 + 27*q/2 = 0 for q.
0, 1/4, 9
Factor -35*t**3/3 - 135*t**2 - 360*t + 180.
-5*(t + 6)**2*(7*t - 3)/3
Suppose 3*m**4/4 + 3*m**3 - 9*m**2/2 - 3*m + 15/4 = 0. Calculate m.
-5, -1, 1
Factor -d**5 + 135*d**4 - 656*d**3 + 776*d**2 + 528*d - 1040.
-(d - 130)*(d - 2)**3*(d + 1)
Determine y, given that -16*y**4/7 + 3028*y**3/7 - 108*y**2 = 0.
0, 1/4, 189
Determine t so that -t**4/4 + 25*t**3/2 + 3*t**2/4 - 38*t + 25 = 0.
-2, 1, 50
Factor 4*d**2 + 44*d - 48.
4*(d - 1)*(d + 12)
Factor q**5 + 18*q**4 + 122*q**3 + 380*q**2 + 525*q + 250.
(q + 1)*(q + 2)*(q + 5)**3
Factor -l**4/9 + 19*l**3/3 + l**2/9 - 19*l/3.
-l*(l - 57)*(l - 1)*(l + 1)/9
Solve -2*s**5/19 + 10*s**3/19 - 8*s/19 = 0.
-2, -1, 0, 1, 2
Solve 5*b**4 - 20*b**3 - 5*b**2 + 20*b = 0.
-1, 0, 1, 4
Factor -3*b**4 - 1179*b**3 + 3564*b**2.
-3*b**2*(b - 3)*(b + 396)
Factor -3*o**4 - 81*o**3 - 531*o**2 - 735*o + 1350.
-3*(o - 1)*(o + 5)**2*(o + 18)
Find i, given that -56*i**4 + 12*i**3 + 56*i**2 - 12*i = 0.
-1, 0, 3/14, 1
Factor 2*q**2/7 + 2*q/7 - 24/7.
2*(q - 3)*(q + 4)/7
What is f in -5*f**5/4 + 55*f**4/2 - 175*f**3 + 250*f**2 = 0?
0, 2, 10
Factor -3*b**3 - 381*b**2 + 771*b - 387.
-3*(b - 1)**2*(b + 129)
Factor -h**2/6 - 28*h/3 - 55/6.
-(h + 1)*(h + 55)/6
Suppose 2*l**2/11 - 446*l/11 + 5064/11 = 0. What is l?
12, 211
Factor 6*k**3/7 - 15*k**2/7 + 12*k/7 - 3/7.
3*(k - 1)**2*(2*k - 1)/7
Find z such that 2*z**3/11 + 2490*z**2/11 + 1033350*z/11 + 142946750/11 = 0.
-415
Find l, given that -4*l**4 + 920*l**3 - 53808*l**2 + 103968*l = 0.
0, 2, 114
Find q, given that -8*q**4/5 - 66*q**3/5 + 726*q**2/5 - 1222*q/5 + 114 = 0.
-15, 1, 19/4
Let w**4 - 5*w**3 + 8*w**2 - 4*w = 0. Calculate w.
0, 1, 2
Solve 4*y**5 + 36*y**4 + 100*y**3 + 108*y**2 + 40*y = 0.
-5, -2, -1, 0
Determine n so that -2*n**2 - 888*n - 98568 = 0.
-222
Determine p so that p**5/3 + 11*p**4/3 + 34*p**3/3 + 14*p**2/3 - 35*p/3 - 25/3 = 0.
-5, -1, 1
Find u such that -2*u**4/13 - 70*u**3/13 - 646*u**