.
-13, 3
Factor 4*s**5/3 + 2*s**4/3 - 2*s**3/3.
2*s**3*(s + 1)*(2*s - 1)/3
Factor 2*i**5 + 58*i**4 + 110*i**3 + 54*i**2.
2*i**2*(i + 1)**2*(i + 27)
Let b**2/9 - 109*b/9 + 206/3 = 0. What is b?
6, 103
Factor -p**2/3 + 1666*p/3 - 693889/3.
-(p - 833)**2/3
Factor 3*r**2 - 342*r + 672.
3*(r - 112)*(r - 2)
Factor 2*y**4/19 + 2164*y**3/19 + 587522*y**2/19 + 1168560*y/19 + 583200/19.
2*(y + 1)**2*(y + 540)**2/19
Solve -121835*z**3 + 121540*z**2 - 40215*z + 4410 = 0 for z.
2/7, 21/59
Find d such that 2*d**2/7 - 156*d/7 + 3042/7 = 0.
39
Factor 2*f**4/5 + 46*f**3 + 672*f**2/5.
2*f**2*(f + 3)*(f + 112)/5
Find s, given that -51*s**5 + 198*s**4 + 993*s**3 + 828*s**2 + 84*s = 0.
-2, -1, -2/17, 0, 7
What is j in 21*j**4 + 9*j**3 - 72*j**2/7 + 12*j/7 = 0?
-1, 0, 2/7
Factor 3*h**4 + 18*h**3 - 108*h**2 - 552*h - 576.
3*(h - 6)*(h + 2)**2*(h + 8)
Find h, given that -4*h**4 - 136*h**3 + 432*h**2 - 440*h + 148 = 0.
-37, 1
Find g, given that 4*g**2/3 + 20*g + 56/3 = 0.
-14, -1
Suppose -3*u**4 + 6*u**3 + 3*u**2 - 6*u = 0. What is u?
-1, 0, 1, 2
Let 3*q**4 - 171*q**3 + 2349*q**2 + 2523*q = 0. Calculate q.
-1, 0, 29
Factor -q**4 + 5*q**3 - 2*q**2 - 8*q.
-q*(q - 4)*(q - 2)*(q + 1)
Find m, given that m**2 - 15*m + 56 = 0.
7, 8
Factor z**2 + 1588*z + 630436.
(z + 794)**2
Factor w**4 - 24*w**3 + 168*w**2 - 416*w + 336.
(w - 14)*(w - 6)*(w - 2)**2
Find p, given that -p**3/3 - 178*p**2/3 - 6956*p/3 + 88360/3 = 0.
-94, 10
Find i, given that -5*i**3 + 135*i**2 + 450*i = 0.
-3, 0, 30
Factor 5*a**4 - 115*a**3 - 285*a**2 + 895*a - 500.
5*(a - 25)*(a - 1)**2*(a + 4)
Solve -q**5 - 3*q**4 + q**3 + 3*q**2 = 0.
-3, -1, 0, 1
Factor -4*u**2 - 316*u - 312.
-4*(u + 1)*(u + 78)
Solve -35*u**5 + 1075*u**4 - 3435*u**3 - 2155*u**2 + 3470*u + 1080 = 0.
-1, -2/7, 1, 4, 27
Let 3*n**3 + 582*n**2 + 29892*n + 159048 = 0. What is n?
-94, -6
Determine d, given that -1620*d**5/7 + 594*d**4 - 3888*d**3/7 + 1488*d**2/7 - 128*d/7 - 32/7 = 0.
-1/10, 2/3
Solve p**2/4 - 82*p + 6724 = 0.
164
Factor g**3/4 + 7*g**2/4 - 11*g.
g*(g - 4)*(g + 11)/4
Factor 3*c**2/4 + 3*c/4 - 975/2.
3*(c - 25)*(c + 26)/4
Factor -y**4 - 7*y**3 - 8*y**2 + 16*y.
-y*(y - 1)*(y + 4)**2
Factor -3*a**4/5 + 11*a**3/5 - 12*a**2/5 + 4*a/5.
-a*(a - 2)*(a - 1)*(3*a - 2)/5
Suppose -5*x**4 - 705*x**3 - 34425*x**2 - 637875*x - 2733750 = 0. What is x?
-45, -6
What is f in 2*f**5 + 34*f**4 + 110*f**3 + 78*f**2 = 0?
-13, -3, -1, 0
Solve 2*i**4/11 - 20*i**3/11 - 32*i**2/11 + 116*i/11 - 6 = 0 for i.
-3, 1, 11
Factor -4*p**4 - 12*p**3 + 16*p.
-4*p*(p - 1)*(p + 2)**2
Let 3*s**3 + 3885*s**2 - 3*s - 3885 = 0. Calculate s.
-1295, -1, 1
Solve -o**5 + 12*o**4 + 122*o**3 + 204*o**2 + 95*o = 0 for o.
-5, -1, 0, 19
Solve -5*c**5 - 110*c**4 - 900*c**3 - 3510*c**2 - 6615*c - 4860 = 0 for c.
-9, -4, -3
Factor 2*g**4/3 + 20*g**3 + 224*g**2 + 3332*g/3 + 2058.
2*(g + 7)**3*(g + 9)/3
Solve -3*x**4 + 30*x**3 + 117*x**2 - 540*x = 0 for x.
-5, 0, 3, 12
Factor f**4/12 - 25*f**3/12 + 47*f**2/4 + 221*f/12 - 169/6.
(f - 13)**2*(f - 1)*(f + 2)/12
Let 24*j**5 + 94*j**4 - 946*j**3 + 1366*j**2 - 30*j - 108 = 0. What is j?
-9, -1/4, 1/3, 2, 3
Let 4*j**5/3 - 4*j**4/3 - 16*j**3 - 16*j**2/3 + 64*j/3 = 0. What is j?
-2, 0, 1, 4
Suppose -3*j**2 + 15*j = 0. Calculate j.
0, 5
Solve 3*w**4 + 30*w**3 + 27*w**2 = 0 for w.
-9, -1, 0
Factor 3*a**2 - 1620*a.
3*a*(a - 540)
Suppose 5*q**2 + 210*q - 675 = 0. Calculate q.
-45, 3
Suppose 3*z**5/2 + 18*z**4 + 105*z**3/2 + 36*z**2 = 0. Calculate z.
-8, -3, -1, 0
Factor -2*n**3/11 - 368*n**2/11 + 2262*n/11 - 3420/11.
-2*(n - 3)**2*(n + 190)/11
Factor -k**2/2 + 68*k - 135/2.
-(k - 135)*(k - 1)/2
Find v such that 4*v**3 - 28*v**2 - 84*v + 108 = 0.
-3, 1, 9
Let -4*b**3 + 3860*b**2 + 7736*b = 0. What is b?
-2, 0, 967
Determine r so that 2*r**2/3 - 276*r = 0.
0, 414
Determine n, given that 14*n**5 - 4*n**4 - 14*n**3 + 4*n**2 = 0.
-1, 0, 2/7, 1
Factor 2*r**3/7 + 92*r**2/7.
2*r**2*(r + 46)/7
Factor 100*x**3/3 + 667*x**2/3 - 229*x/3 + 14/3.
(x + 7)*(4*x - 1)*(25*x - 2)/3
Factor 2*i**2 + 852*i + 90738.
2*(i + 213)**2
Factor 2*f**4/3 - 4*f**3/3 - 16*f**2 + 100*f/3 - 50/3.
2*(f - 5)*(f - 1)**2*(f + 5)/3
Factor 2*f**2/5 - 222*f/5 - 224/5.
2*(f - 112)*(f + 1)/5
Suppose 26*v**5/5 - 152*v**4/5 + 348*v**3/5 - 392*v**2/5 + 218*v/5 - 48/5 = 0. Calculate v.
1, 24/13
Factor -3*j**2/4 + 123*j.
-3*j*(j - 164)/4
Factor b**2/4 - 10*b - 441/4.
(b - 49)*(b + 9)/4
Factor s**5 - 3*s**4 - s**3 + 7*s**2 - 4.
(s - 2)**2*(s - 1)*(s + 1)**2
Factor 3*w**3/7 + 4167*w**2/7 - 8343*w/7 + 4173/7.
3*(w - 1)**2*(w + 1391)/7
Factor -4*z**5 - 84*z**4 + 484*z**3 - 908*z**2 + 720*z - 208.
-4*(z - 2)*(z - 1)**3*(z + 26)
Let -2*t**4/9 - 14*t**3/9 - 4*t**2 - 40*t/9 - 16/9 = 0. Calculate t.
-2, -1
Factor w**3/6 - 25*w**2/6 + 23*w/3.
w*(w - 23)*(w - 2)/6
Determine g so that 3*g**4 - 28*g**3 + 51*g**2 - 14*g = 0.
0, 1/3, 2, 7
Suppose 95*a**3/4 - 5*a**2 - 95*a/4 + 5 = 0. Calculate a.
-1, 4/19, 1
Factor -4*v**2 + 2496*v - 389376.
-4*(v - 312)**2
Let 2*p**4 + 34*p**3/7 + 4*p**2/7 - 16*p/7 = 0. What is p?
-2, -1, 0, 4/7
Solve -14*j**3 + 272*j**2 - 94*j - 380 = 0 for j.
-1, 10/7, 19
Solve -2*h**2/15 + 62*h/5 - 184/15 = 0.
1, 92
Factor -3*k**4 + 15*k**3 + 3*k**2 - 15*k.
-3*k*(k - 5)*(k - 1)*(k + 1)
Factor 3*k**3/7 + 1131*k**2/7 + 15147*k - 15309.
3*(k - 1)*(k + 189)**2/7
Factor l**5 - 15*l**4 + 62*l**3 - 34*l**2 - 63*l + 49.
(l - 7)**2*(l - 1)**2*(l + 1)
Solve l**3/4 - 87*l**2/4 + 171*l/4 - 85/4 = 0.
1, 85
Factor 2*p**5/3 + 20*p**4/3 + 6*p**3.
2*p**3*(p + 1)*(p + 9)/3
Suppose 4*u**5 - 32*u**4 + 20*u**3 + 200*u**2 = 0. Calculate u.
-2, 0, 5
Factor 2*d**2/3 - 148*d/3.
2*d*(d - 74)/3
Factor 14*s**5 - 32*s**4 + 8*s**3 + 28*s**2 - 22*s + 4.
2*(s - 1)**3*(s + 1)*(7*s - 2)
Factor 3*p**3 - 8646*p**2 + 17283*p - 8640.
3*(p - 2880)*(p - 1)**2
Factor 6*n**2 - 111*n/2 + 27/2.
3*(n - 9)*(4*n - 1)/2
Find o such that -o**3/2 - 15*o**2/2 - 75*o/2 - 125/2 = 0.
-5
Factor y**2 + 1251*y - 2506.
(y - 2)*(y + 1253)
Factor 2*h**5/5 + 12*h**4/5 + 2*h**3.
2*h**3*(h + 1)*(h + 5)/5
Let 25*w**3/6 + 2735*w**2/3 + 2182*w/3 + 436/3 = 0. What is w?
-218, -2/5
Suppose 4*s**2 - 52*s = 0. What is s?
0, 13
Solve -121*u**4/3 + 44*u**3 + 85*u**2/3 - 44*u + 12 = 0 for u.
-1, 6/11, 1
Find f, given that 4*f**2 + 56*f - 60 = 0.
-15, 1
Find j, given that 2*j**2/15 - 74*j/5 + 856/15 = 0.
4, 107
Suppose 3*t**4/4 - 21*t**3/2 + 27*t**2 - 51*t/2 + 33/4 = 0. Calculate t.
1, 11
Solve 5*a**2 - 720*a + 2800 = 0.
4, 140
Find f, given that -35*f**3 - 25*f**2 + 10*f = 0.
-1, 0, 2/7
Suppose 3*h**2 + 3*h - 396 = 0. What is h?
-12, 11
Factor -21*r**2 + 363*r - 102.
-3*(r - 17)*(7*r - 2)
Factor 48*h**5/7 + 456*h**4/7 + 963*h**3/7 - 570*h**2/7 + 75*h/7.
3*h*(h + 5)**2*(4*h - 1)**2/7
Factor 5*v**5 - 205*v**3 + 360*v**2 + 560*v.
5*v*(v - 4)**2*(v + 1)*(v + 7)
Solve -5*h**2 - 40*h - 80 = 0 for h.
-4
What is d in -4*d**5 - 92*d**4 - 228*d**3 + 268*d**2 + 536*d - 480 = 0?
-20, -3, -2, 1
Factor -14*m**3 + 200*m**2 - 392*m + 96.
-2*(m - 12)*(m - 2)*(7*m - 2)
Suppose 2*p**2 - 98*p + 96 = 0. What is p?
1, 48
Let 2*t**4/11 + 26*t**3/11 + 14*t**2/11 - 114*t/11 + 72/11 = 0. Calculate t.
-12, -3, 1
Solve b**5 - 10*b**4 + 70*b**2 + 95*b + 36 = 0 for b.
-1, 4, 9
Factor 9*b**3/4 + 1545*b**2/4 - 518*b + 173.
(b + 173)*(3*b - 2)**2/4
Suppose 2*g**3/11 - 10*g**2/11 - 92*g/11 - 80/11 = 0. What is g?
-4, -1, 10
Suppose -4*u**2 - 152*u - 148 = 0. What is u?
-37, -1
Factor -4*p**3/3 - 2*p**2/3 + 2*p.
-2*p*(p - 1)*(2*p + 3)/3
Solve 32*p**4/7 - 432*p**3/7 + 914*p**2/7 - 54*p + 44/7 = 0 for p.
1/4, 2, 11
Suppose -y**3 - 29*y**2/3 - 17*y/3 + 3 = 0. What is y?
-9, -1, 1/3
Factor -9*k**4 + 3*k**3 + 6*k**2.
-3*k**2*(k - 1)*(3*k + 2)
Factor -3*b**3 - 12*b**2 + 3828*b + 58080.
-3*(b - 40)*(b + 22)**2
Factor 3*x**2/2 - 12*x - 72.
3*(x - 12)*(x + 4)/2
Factor -2*v**2/5 + 48*v/5.
-2*v*(v - 24)/5
What is t in t**3 + 6*t**2 + 3*t - 10 = 0?
-5, -2, 1
Let -4*o**3/3 - 16*o**2 - 48*o - 128/3 = 0. What is o?
-8, -2
Factor -i**2/6 + i/3 + 33/2.
-(i - 11)*(i + 9)/6
Factor -t**4 + 284*t**3 - 19878*t**2 - 40612*t - 20449.
-(t - 143)**2*(t + 1)**2
Suppose a**5/2 - a**4/2 - 13*a**3/2 + a**2/2 + 6*a = 0. What is a?
-3, -1, 0, 1, 4
Determine l, given that -5*l**5 + 345*l**4 + 3360*l**3 + 11480*l**2 + 17040*l + 9360 = 0.
-3, -2, 78
Factor 2*l**5/9 - 148*l**4/3 + 442*l**3/9.
2*l**3*(l - 221)*(l - 1)/9
Factor 1