tor 5*p**4 + 15*p**3 - 20*p**2 - 60*p.
5*p*(p - 2)*(p + 2)*(p + 3)
Factor 3*n**4/5 - 27*n**3/5 - 36*n**2/5 + 276*n/5 + 432/5.
3*(n - 9)*(n - 4)*(n + 2)**2/5
Suppose 6*g**2 + 88*g/3 - 40 = 0. What is g?
-6, 10/9
Determine v so that v**2/5 - 712*v/5 = 0.
0, 712
Suppose 2*z**3/5 + 42*z**2/5 - 2*z/5 - 42/5 = 0. What is z?
-21, -1, 1
Suppose 3*h**4/4 + 3*h**3/4 - 6*h**2 - 9*h = 0. What is h?
-2, 0, 3
Factor 2*c**2/5 + 6*c/5 - 8/5.
2*(c - 1)*(c + 4)/5
Solve 45*y**2 - 160*y + 140 = 0 for y.
14/9, 2
Factor 2*t**3/5 + 44*t**2/5 + 38*t/5 - 84/5.
2*(t - 1)*(t + 2)*(t + 21)/5
Find l such that -16*l**4 - 46*l**3 + 294*l**2 - 36*l = 0.
-6, 0, 1/8, 3
Let -27*r**5 - 51*r**4 + 89*r**3 - 5*r**2 - 6*r = 0. What is r?
-3, -2/9, 0, 1/3, 1
Factor z**4/5 + 1059*z**3/5 + 372762*z**2/5 + 8646804*z - 133085592/5.
(z - 3)*(z + 354)**3/5
Suppose x**2/5 - 1019*x/5 + 1018/5 = 0. Calculate x.
1, 1018
Let a**3 + 33*a**2 - 360*a + 756 = 0. Calculate a.
-42, 3, 6
Factor 3*y**3/7 + 687*y**2/7 + 38985*y/7 - 39675/7.
3*(y - 1)*(y + 115)**2/7
Factor 2*k**3/3 - 62*k**2/3 + 638*k/3 - 726.
2*(k - 11)**2*(k - 9)/3
Factor 3*s**5/2 - 3*s**4 + 3*s**3/2.
3*s**3*(s - 1)**2/2
Find h such that -5*h**2 - 510*h - 505 = 0.
-101, -1
Factor -g**2/7 + 316*g/7 - 24964/7.
-(g - 158)**2/7
Factor 2*g**4 + 12*g**3 - 48*g**2 + 52*g - 18.
2*(g - 1)**3*(g + 9)
Suppose 2*t**3 - 208*t**2 - 856*t - 864 = 0. Calculate t.
-2, 108
Solve -121*w**4 - 1001*w**3/2 - 48*w**2 + 70*w - 8 = 0.
-4, -1/2, 2/11
Solve n**2 - 51*n + 344 = 0.
8, 43
Find q, given that q**5 + 168*q**4 + 7056*q**3 = 0.
-84, 0
Suppose 10*j**3/3 + 238*j**2/3 + 404*j/3 + 176/3 = 0. What is j?
-22, -1, -4/5
Factor -2*n**2/15 - 1556*n/15 - 518/5.
-2*(n + 1)*(n + 777)/15
Suppose 4*v**4/3 - 88*v**3/3 + 196*v**2 - 456*v + 288 = 0. What is v?
1, 3, 6, 12
Determine v so that 10*v**5/7 - 2*v**4 - 26*v**3/7 + 22*v**2/7 + 16*v/7 - 8/7 = 0.
-1, 2/5, 1, 2
Factor -i**2 - 3156*i - 2490084.
-(i + 1578)**2
Let n**5/2 - 11*n**4/2 + 35*n**3/2 - 25*n**2/2 - 18*n + 18 = 0. Calculate n.
-1, 1, 2, 3, 6
Factor -b**5 - 24*b**4 + b**3 + 24*b**2.
-b**2*(b - 1)*(b + 1)*(b + 24)
Find m such that -2*m**5/5 + m**4 + 12*m**3/5 - 47*m**2/5 + 44*m/5 - 12/5 = 0.
-3, 1/2, 1, 2
Solve -w**3 + 12*w**2 - 32*w = 0.
0, 4, 8
Factor j**5/12 + j**4/6 - j**3/6 - 2*j**2/3 - 7*j/12 - 1/6.
(j - 2)*(j + 1)**4/12
Solve -3*g**2/5 - 27*g/5 - 42/5 = 0 for g.
-7, -2
Let 5*r**4 + 340*r**3 - 1785*r**2 + 2900*r - 1460 = 0. Calculate r.
-73, 1, 2
Factor 4*k**5 - 36*k**3 - 16*k**2 + 48*k.
4*k*(k - 3)*(k - 1)*(k + 2)**2
Factor n**3/4 + 15*n**2/4 + 7*n/2.
n*(n + 1)*(n + 14)/4
Factor 2*a**3 - 40*a**2 + 234*a - 324.
2*(a - 9)**2*(a - 2)
Suppose -3*y**2 + 387*y + 786 = 0. What is y?
-2, 131
Factor d**4/2 + 2*d**3/3 - 23*d**2/6 - 22*d/3 - 2.
(d - 3)*(d + 2)**2*(3*d + 1)/6
Let -2*w**5/9 + 118*w**4/9 - 266*w**3 + 18050*w**2/9 - 27436*w/9 = 0. What is w?
0, 2, 19
Factor l**5/4 - l**4 - 19*l**3/2 - 15*l**2 - 27*l/4.
l*(l - 9)*(l + 1)**2*(l + 3)/4
Determine q so that 2*q**2/21 - 22*q/7 + 60/7 = 0.
3, 30
Factor 57*u**2 - 14472*u - 1524.
3*(u - 254)*(19*u + 2)
Factor l**5/5 - 52*l**3/5 - 96*l**2/5.
l**2*(l - 8)*(l + 2)*(l + 6)/5
Factor 324*u**3/7 + 720*u**2/7 + 148*u/7 + 8/7.
4*(u + 2)*(9*u + 1)**2/7
Factor -2*q**2/5 - 2812*q - 4942090.
-2*(q + 3515)**2/5
Factor a**3 - 95*a**2 - 108*a + 1152.
(a - 96)*(a - 3)*(a + 4)
Factor 2*h**2/9 + 382*h/9.
2*h*(h + 191)/9
Determine i so that 2*i**4 - 55*i**3/2 + 103*i**2 - 113*i/2 - 21 = 0.
-1/4, 1, 6, 7
Factor 4*y**2 - 400*y + 396.
4*(y - 99)*(y - 1)
What is n in 18*n**5 - 348*n**4 + 1958*n**3 - 2356*n**2 - 1976*n + 2704 = 0?
-1, 1, 2, 26/3
Find u, given that -2*u**3/3 - 46*u**2/3 - 310*u/3 - 650/3 = 0.
-13, -5
Factor 2*v**2/13 + 4*v/13.
2*v*(v + 2)/13
Factor 3*s**2/5 + 126*s + 627/5.
3*(s + 1)*(s + 209)/5
Factor x**2/7 - 594*x/7 + 88209/7.
(x - 297)**2/7
Solve 2*d**3/5 + 14*d**2/5 - 4*d - 32/5 = 0.
-8, -1, 2
Factor -h**4.
-h**4
Factor 2*i**3/7 + 1560*i**2/7.
2*i**2*(i + 780)/7
Factor -2*k**2 - 2556*k.
-2*k*(k + 1278)
Determine m so that -2*m**3/3 + 7*m**2/2 + 499*m/6 - 21 = 0.
-9, 1/4, 14
Factor 3*b**2 - 3.
3*(b - 1)*(b + 1)
Solve -2*o**5/13 - 6*o**4/13 + 88*o**3/13 + 192*o**2/13 - 320*o/13 - 672/13 = 0 for o.
-7, -2, 2, 6
Suppose -q**4/4 - 7*q**3/4 + 19*q**2/4 + 7*q/4 - 9/2 = 0. Calculate q.
-9, -1, 1, 2
Factor s**2/4 - 677*s/4.
s*(s - 677)/4
Factor 2*d**2/13 + 8*d + 104.
2*(d + 26)**2/13
Factor -4*c**2 - 3096*c - 599076.
-4*(c + 387)**2
Find n such that 4*n**5 + 8*n**4 - 12*n**3 - 32*n**2 - 16*n = 0.
-2, -1, 0, 2
Factor -4*i**4 + 8*i**3 + 108*i**2 - 224*i - 320.
-4*(i - 4)**2*(i + 1)*(i + 5)
Factor 2*m**4/7 + 32*m**3/7 + 176*m**2/7 + 384*m/7 + 288/7.
2*(m + 2)**2*(m + 6)**2/7
Factor -2*m**5 - 24*m**4 - 90*m**3 - 108*m**2.
-2*m**2*(m + 3)**2*(m + 6)
Factor 3*z**2 - 6*z - 189.
3*(z - 9)*(z + 7)
Factor 3*i**2 - 456*i + 17328.
3*(i - 76)**2
Factor z**3 - 230*z**2 - z + 230.
(z - 230)*(z - 1)*(z + 1)
Let 6*v**2 - 9*v = 0. What is v?
0, 3/2
Factor -2*y**2 + 760*y - 1512.
-2*(y - 378)*(y - 2)
Find j, given that j**4/2 - 7*j**3/4 - 9*j**2/4 + 11*j/2 - 2 = 0.
-2, 1/2, 1, 4
Factor -20*y**4 + 808*y**3 - 8320*y**2 + 3200*y.
-4*y*(y - 20)**2*(5*y - 2)
Factor -2*z**3 - 290*z**2 - 1686*z - 2502.
-2*(z + 3)**2*(z + 139)
Suppose -5*g**2 + 9970*g - 4970045 = 0. What is g?
997
Factor -h**5 - 3*h**4 + 6*h**3 + 8*h**2.
-h**2*(h - 2)*(h + 1)*(h + 4)
Suppose -7*p**4/2 + 31*p**3 = 0. What is p?
0, 62/7
Factor 2*v**3/9 - 982*v**2/9 + 119054*v/9 + 122018/3.
2*(v - 247)**2*(v + 3)/9
Factor w**4/6 + w**3/2 - 2*w**2/3 - 2*w.
w*(w - 2)*(w + 2)*(w + 3)/6
Suppose 5*v**4 - 55*v**3 - 20*v**2 + 220*v = 0. Calculate v.
-2, 0, 2, 11
What is p in 2*p**4/9 + 176*p**3/9 - 1910*p**2/9 + 4900*p/9 = 0?
-98, 0, 5
Let d**5 + 14*d**4 - 108*d**3 + 232*d**2 - 160*d = 0. What is d?
-20, 0, 2
Let -u**3/7 - 39*u**2/7 - 207*u/7 - 297/7 = 0. What is u?
-33, -3
Determine b so that -2*b**5/3 - 2*b**4 + 82*b**3/3 - 70*b**2 + 208*b/3 - 24 = 0.
-9, 1, 2
Factor y**2/5 - 233*y/5.
y*(y - 233)/5
Determine d so that d**2/4 - 9*d/2 + 81/4 = 0.
9
Determine f so that 3*f**3 - 69*f**2 - 150*f = 0.
-2, 0, 25
Find m such that -5*m**2 - 210*m - 925 = 0.
-37, -5
Determine f, given that -4*f**5 + 8*f**3 - 4*f = 0.
-1, 0, 1
Factor 7*o**3/3 - 17*o**2/3 - 4*o.
o*(o - 3)*(7*o + 4)/3
Factor -2*q**3 + 72*q**2 - 264*q + 256.
-2*(q - 32)*(q - 2)**2
Let 2*y**3 - 736*y**2 + 68442*y - 133956 = 0. What is y?
2, 183
Factor 36*r**3 - 30*r**2 + 25*r/4.
r*(12*r - 5)**2/4
Solve -b**3 + 23*b**2 + b - 23 = 0 for b.
-1, 1, 23
Let 87*a**4/5 - 241*a**3/5 + 111*a**2/5 + 49*a/5 - 6/5 = 0. Calculate a.
-1/3, 3/29, 1, 2
What is k in 2*k**2/13 + 60*k/13 + 58/13 = 0?
-29, -1
Factor -2*p**2/21 + 10*p/21 + 4/7.
-2*(p - 6)*(p + 1)/21
Find k, given that 5*k**2 - 195*k + 1870 = 0.
17, 22
Factor 4*c**3 + 64*c**2 + 164*c + 104.
4*(c + 1)*(c + 2)*(c + 13)
Let 3*o**4/7 + 174*o**3/7 + 24*o**2 - 174*o/7 - 171/7 = 0. Calculate o.
-57, -1, 1
Find t, given that -3*t**5 + 39*t**4 - 165*t**3 + 225*t**2 = 0.
0, 3, 5
Suppose -15*y**3 + 40*y**2 + 5*y - 50 = 0. Calculate y.
-1, 5/3, 2
Factor 8*n**4/15 + 16*n**3/5 + 6*n**2 + 10*n/3.
2*n*(n + 1)*(2*n + 5)**2/15
Determine k so that 2*k**2 + 324*k + 13122 = 0.
-81
Let -4*u**3/7 - 16*u**2/7 + 19*u/7 - 5/7 = 0. Calculate u.
-5, 1/2
Suppose r**2/6 - 159*r + 952/3 = 0. What is r?
2, 952
Find v such that -2*v**3/3 + 37*v**2/6 - 27*v/2 + 3 = 0.
1/4, 3, 6
Solve -2*l**2/3 + 30*l - 156 = 0.
6, 39
Factor -2*h**2/19 - 40*h/19 - 150/19.
-2*(h + 5)*(h + 15)/19
Find r, given that -2*r**4/5 + 74*r**3/5 - 142*r**2/5 + 14*r = 0.
0, 1, 35
Factor -h**4/5 + 36*h**3/5 - 357*h**2/5 + 578*h/5.
-h*(h - 17)**2*(h - 2)/5
Suppose 2*l**4/9 - 38*l**3/9 - 182*l**2/9 - 58*l/9 + 92/3 = 0. Calculate l.
-3, -2, 1, 23
Let -175*o**4/2 + 160*o**3 + 585*o**2/2 + 45*o = 0. What is o?
-1, -6/35, 0, 3
Find v such that v**2/3 + 247*v/3 + 490/3 = 0.
-245, -2
Find w, given that -2*w**3/9 - 34*w**2/9 + 208*w/3 - 232 = 0.
-29, 6
Find h such that -20*h**5/3 + 16*h**4 + 4*h**3/3 - 16*h**2 + 16*h/3 = 0.
-1, 0, 2/5, 1, 2
Factor 24*g**3 + 260*g**2 - 1352*g + 1068.
4*(g - 3)*(g - 1)*(6*g + 89)
Find q, given that 4*q**2 + 1568*q + 153664 = 0.
-196
Let -2*p**4 + 20*p**3 + 62*p**2 - 944*p + 2016 = 0. What is p?
-7, 4, 9
Factor 2*j**2/7 - 7328*j/7 + 6712448/7.
2*(j - 1832)**2/7
Solve z**4/5 + 7*z**