= 0. Calculate v.
0, 32
Determine c so that 5*c**2 - 150*c + 520 = 0.
4, 26
Factor 22*c**3/3 - 236*c**2/3 + 154*c + 48.
2*(c - 8)*(c - 3)*(11*c + 3)/3
Factor -c**2 + 70*c.
-c*(c - 70)
Let -i**2/4 + 2858*i - 8168164 = 0. What is i?
5716
Factor 2*t**3/9 + 10*t**2/9.
2*t**2*(t + 5)/9
Solve -x**3 - 69*x**2 - 912*x - 3392 = 0.
-53, -8
Find b, given that -5*b**5 - 20*b**4 + 60*b**3 + 160*b**2 - 320*b = 0.
-4, 0, 2
Solve -t**4/6 - 3*t**3/2 - 13*t**2/6 + 15*t/2 + 25/3 = 0.
-5, -1, 2
Find x, given that -2*x**3/5 + 3*x**2/5 + 3*x/5 - 2/5 = 0.
-1, 1/2, 2
Factor 16*k**4 - 40*k**3 - 1431*k**2 - 707*k - 88.
(k - 11)*(k + 8)*(4*k + 1)**2
Let -2*r**3/9 + 1782*r**2 - 10714720*r/3 - 32160200/9 = 0. What is r?
-1, 4010
Factor 3*j**4/5 + 24*j**3/5 - 3678*j**2/5 - 14904*j/5 + 1156923/5.
3*(j - 23)**2*(j + 27)**2/5
Determine l so that 95*l**2/3 - 65*l/2 + 25/3 = 0.
1/2, 10/19
Determine s so that 42*s**5 + 83*s**4 + 32*s**3 - 18*s**2 - 10*s - 1 = 0.
-1, -1/3, -1/7, 1/2
Determine q, given that 5*q**5 - 60*q**4 + 205*q**3 - 10*q**2 - 900*q + 1000 = 0.
-2, 2, 5
Find w such that 6*w**3 - 184*w**2 - 1394*w - 444 = 0.
-6, -1/3, 37
Determine o so that o**4/5 - 39*o**3/5 + 33*o**2/5 + 187*o/5 + 114/5 = 0.
-1, 3, 38
Suppose -30*r**3/7 - 132*r**2 - 2406*r/7 - 216 = 0. What is r?
-28, -9/5, -1
Factor 4*y**2/3 + 40*y/3 - 44/3.
4*(y - 1)*(y + 11)/3
Let -2*f**5/9 + 922*f**4/9 + 620*f**3/3 - 3688*f**2/9 - 7408*f/9 = 0. Calculate f.
-2, 0, 2, 463
Suppose -4*n**5 - 24*n**4 - 48*n**3 - 32*n**2 = 0. Calculate n.
-2, 0
Find u, given that 5*u**4 + 50*u**3 + 180*u**2 + 280*u + 160 = 0.
-4, -2
Factor 5*a**2 - 560*a + 2675.
5*(a - 107)*(a - 5)
Suppose -u**5 + 10*u**3 - 9*u = 0. Calculate u.
-3, -1, 0, 1, 3
Factor -4*q**2 - 1456*q + 1460.
-4*(q - 1)*(q + 365)
Let -2*o**5/13 - 88*o**4/13 - 1266*o**3/13 - 6732*o**2/13 - 14904*o/13 - 11664/13 = 0. Calculate o.
-18, -3, -2
Solve -5*b**3 = 0 for b.
0
Factor s**4/2 + 129*s**3/2 + 2112*s**2 + 2048*s.
s*(s + 1)*(s + 64)**2/2
Factor 4*m**4 - 12*m**2 - 8*m.
4*m*(m - 2)*(m + 1)**2
Factor 5*b**2/2 - 433*b/2 - 87.
(b - 87)*(5*b + 2)/2
Factor -5*h**2 + 170*h - 600.
-5*(h - 30)*(h - 4)
Factor -z**3 - 13*z**2 - 6*z + 72.
-(z - 2)*(z + 3)*(z + 12)
Solve 3*v**2/5 + 84*v - 852/5 = 0.
-142, 2
Suppose -15*c**3 - 140*c**2 - 165*c - 40 = 0. What is c?
-8, -1, -1/3
Factor 17*c**2/7 + 605*c + 498/7.
(c + 249)*(17*c + 2)/7
Find y such that -3*y**5 - 183*y**4/7 + 285*y**3/7 + 123*y**2/7 - 264*y/7 + 60/7 = 0.
-10, -1, 2/7, 1
Solve 2*a**4 - 96*a**3 = 0 for a.
0, 48
Suppose -18*f**4 + 38*f**3 + 66*f**2 - 38*f - 48 = 0. What is f?
-1, -8/9, 1, 3
Factor -b**2 - 376*b - 1119.
-(b + 3)*(b + 373)
Find a, given that -8*a**2 + 11066*a - 2766 = 0.
1/4, 1383
Solve -58*s**2/21 + 18*s/7 + 4/21 = 0.
-2/29, 1
Suppose -4*o**2 - 596*o = 0. What is o?
-149, 0
Determine p so that p**3/3 + 83*p**2/3 + 1840*p/3 + 1600 = 0.
-40, -3
Solve 2*o**5/11 + 4*o**4/11 - 168*o**3/11 + 316*o**2/11 - 14*o = 0 for o.
-11, 0, 1, 7
Factor -2*v**2/7 + 356*v/7 - 15842/7.
-2*(v - 89)**2/7
Factor 5*w**3 + 12945*w**2 + 11171535*w + 3213678235.
5*(w + 863)**3
Determine d, given that -315*d**5/2 + 447*d**4/2 + 507*d**3/2 - 279*d**2/2 - 6*d + 6 = 0.
-1, -1/5, 2/7, 1/3, 2
Find p, given that -8*p**4 + 118*p**3 - 546*p**2 + 752*p + 224 = 0.
-1/4, 4, 7
Factor -v**2/4 + 595*v/4 - 297/2.
-(v - 594)*(v - 1)/4
Factor 8*i**3 + 84*i**2 + 180*i - 112.
4*(i + 4)*(i + 7)*(2*i - 1)
What is t in 4*t**4 - 28*t**3 - 204*t**2 + 268*t + 440 = 0?
-5, -1, 2, 11
Factor -8*f**5 - 24*f**4 - 26*f**3 - 12*f**2 - 2*f.
-2*f*(f + 1)**2*(2*f + 1)**2
Factor -5*r**2 - 3540*r + 3545.
-5*(r - 1)*(r + 709)
Solve u**2/5 - 686*u/5 + 117649/5 = 0 for u.
343
Determine i, given that 2*i**3 - 76*i**2 + 792*i - 1296 = 0.
2, 18
Factor -2*x**3 - 354*x**2 - 20886*x - 410758.
-2*(x + 59)**3
Factor -c**2 + 23*c + 140.
-(c - 28)*(c + 5)
Solve -4*o**5 + 354*o**4 - 170*o**3 - 530*o**2 + 174*o + 176 = 0.
-1, -1/2, 1, 88
Let -2*j**5/7 + 6*j**4 - 258*j**3/7 + 398*j**2/7 - 180*j/7 = 0. Calculate j.
0, 1, 9, 10
Find t such that -2*t**4/11 - 8*t**3/11 + 4*t**2 + 8*t/11 - 42/11 = 0.
-7, -1, 1, 3
Suppose -2*y**4/15 - 158*y**3/15 - 98*y**2/5 + 214*y/3 - 616/15 = 0. What is y?
-77, -4, 1
Find m, given that -27*m**5 - 252*m**4 - 471*m**3 + 402*m**2 - 72*m = 0.
-6, -4, 0, 1/3
Factor 3*i**3/5 - 129*i**2/5 + 126*i/5.
3*i*(i - 42)*(i - 1)/5
Factor 2*t**3 - 32*t**2 + 160*t - 256.
2*(t - 8)*(t - 4)**2
Suppose 3*k**2 - 219*k - 222 = 0. What is k?
-1, 74
What is r in r**4/12 + r**3 - 13*r**2/12 = 0?
-13, 0, 1
Factor z**3/2 + 27*z**2/2 - 14*z.
z*(z - 1)*(z + 28)/2
Factor -m**3/3 + 547*m**2/3 - 725*m + 543.
-(m - 543)*(m - 3)*(m - 1)/3
Factor y**4/5 - 6*y**3/5 + y**2.
y**2*(y - 5)*(y - 1)/5
Factor 5*s**5 - 25*s**4 + 20*s**3.
5*s**3*(s - 4)*(s - 1)
Suppose 312*s**4 + 2826*s**3 + 2643*s**2 + 9*s - 120 = 0. Calculate s.
-8, -1, -1/4, 5/26
Determine b, given that -18*b**3 - 2020*b**2 + 3656*b + 912 = 0.
-114, -2/9, 2
Factor -2*i**4 - 10*i**3 - 18*i**2 - 14*i - 4.
-2*(i + 1)**3*(i + 2)
Suppose 4*d**5/11 - 146*d**4/11 + 480*d**3/11 - 604*d**2/11 + 332*d/11 - 6 = 0. Calculate d.
1/2, 1, 33
Solve -2*j**3/3 - 36*j**2 - 502*j/3 - 196 = 0 for j.
-49, -3, -2
Factor c**4/2 + 6*c**3 + 18*c**2.
c**2*(c + 6)**2/2
Solve -15*f**5 - 115*f**4 - 280*f**3 - 260*f**2 - 80*f = 0 for f.
-4, -2, -1, -2/3, 0
Factor -v**4/4 - 27*v**3/4 - 113*v**2/4 - 57*v/4 + 99/2.
-(v - 1)*(v + 3)**2*(v + 22)/4
Find s, given that -12*s**4/5 + 69*s**3/5 + 90*s**2 - 2484*s/5 - 648/5 = 0.
-6, -1/4, 6
Find p, given that -3*p**5 + 78*p**4 + 573*p**3 + 168*p**2 - 2352*p + 1536 = 0.
-4, 1, 32
Find n such that -21*n**3/2 - 57*n**2/2 + 114*n - 30 = 0.
-5, 2/7, 2
Factor -9*r**3 + 87*r**2 - 114*r - 48.
-3*(r - 8)*(r - 2)*(3*r + 1)
Suppose 3*h**5 + 123*h**4 + 1065*h**3 - 3963*h**2 + 4224*h - 1452 = 0. Calculate h.
-22, 1
Factor 2*o**3/7 - 810*o**2/7 + 82416*o/7 - 81608/7.
2*(o - 202)**2*(o - 1)/7
What is y in y**3/2 + 8*y**2 + 32*y = 0?
-8, 0
Determine v, given that -v**5/5 + 12*v**3/5 + 16*v**2/5 = 0.
-2, 0, 4
Let 2*y**4/11 + 344*y**3/11 + 14442*y**2/11 - 30276*y/11 = 0. What is y?
-87, 0, 2
What is m in 64*m**5 + 544*m**4 + 1380*m**3 + 740*m**2 - 664*m + 96 = 0?
-4, -3, -2, 1/4
Solve 3*i**4/7 + 57*i**3/7 + 171*i**2/7 - 957*i/7 + 726/7 = 0.
-11, 1, 2
Let -4*t**5/5 - 24*t**4/5 + 76*t**3/5 + 16*t**2 - 144*t/5 - 128/5 = 0. What is t?
-8, -1, 2
Suppose 3*n**2 - 156*n = 0. Calculate n.
0, 52
Suppose 2*o**2/7 - 342*o/7 = 0. Calculate o.
0, 171
Factor y**5/9 - y**4/9 - y**3/3 + y**2/9 + 2*y/9.
y*(y - 2)*(y - 1)*(y + 1)**2/9
Let 3*j**5 - 9*j**4 - 66*j**3 + 168*j**2 + 288*j - 384 = 0. Calculate j.
-4, -2, 1, 4
Suppose -3*v**4/2 - 9*v**3 - 39*v**2/2 - 18*v - 6 = 0. Calculate v.
-2, -1
Factor 5*n**3 - 50*n**2 - 120*n.
5*n*(n - 12)*(n + 2)
Determine g, given that 119*g**5/12 - 575*g**4/12 - 326*g**3 - 1226*g**2/3 - 148*g/3 + 12 = 0.
-2, -2/7, 2/17, 9
Factor k**2/4 - 17*k/2 + 33/4.
(k - 33)*(k - 1)/4
Factor -3*i**2/5 - 203*i + 678/5.
-(i + 339)*(3*i - 2)/5
Let 3*p**3/7 - 39*p**2/7 + 24*p - 240/7 = 0. Calculate p.
4, 5
Solve -3*n**3/8 - 15*n**2/8 = 0 for n.
-5, 0
Factor 2*i**5 - 4*i**4 - 6*i**3 + 8*i**2 + 8*i.
2*i*(i - 2)**2*(i + 1)**2
Suppose -3*i**5 + 9*i**4 + 147*i**3 + 135*i**2 = 0. What is i?
-5, -1, 0, 9
Determine v, given that 4*v**4 + 1232*v**3 + 7296*v**2 + 14528*v + 9664 = 0.
-302, -2
Find z such that -3*z**2/4 + 5142*z - 8813388 = 0.
3428
Solve i**4 + 32*i**3 - 3*i**2 - 94*i + 64 = 0 for i.
-32, -2, 1
Factor j**2 + 2*j/3.
j*(3*j + 2)/3
Find j such that j**2/2 - 133*j/2 + 66 = 0.
1, 132
Find m such that -3*m**2/4 - 17*m - 63 = 0.
-18, -14/3
Factor 9*h**3/2 + 9*h**2/2 - 5*h.
h*(3*h - 2)*(3*h + 5)/2
Factor -34*a**2/7 - 14*a - 60/7.
-2*(a + 2)*(17*a + 15)/7
Let -75*j**5 - 415*j**4 + 843*j**3 + 419*j**2 - 624*j + 140 = 0. Calculate j.
-7, -1, 2/5, 5/3
Factor 2*p**2 + 402*p + 5580.
2*(p + 15)*(p + 186)
Factor 17*j**3/5 + 31*j**2 + 154*j/5 + 16/5.
(j + 1)*(j + 8)*(17*j + 2)/5
Let -4*v**5 + 344*v**4 + 8*v**3 - 688*v**2 - 4*v + 344 = 0. What is v?
-1, 1, 86
Determine d so that -2*d**2 - 62*d - 116 = 0.
-29, -2
Factor -50*r**3 - 204*r**2 - 216*r - 16.
-2*(r + 2)**2*(25*r + 2)
Let 3*i**5/2 + 15*i**4 + 75*i**3/2 = 0. What is i?
-5, 0
Let -o**3/6 - o**2/3 = 0. Calculate o.
-2, 0
Let 4*l**5 + 36*l**4 + 120*l**3 + 184*l**2 + 132*l + 36 = 0. Calcula