3 + 6*p**2.
-2*p**2*(p + 3)*(5*p - 3)/3
Factor 3*r**4 + 123*r**3 + 1425*r**2 + 3249*r.
3*r*(r + 3)*(r + 19)**2
Factor o**3/2 + 9*o**2 - 93*o/2 - 55.
(o - 5)*(o + 1)*(o + 22)/2
Find v such that v**2/3 + 110*v + 329/3 = 0.
-329, -1
Factor h**3 - 109*h**2 + 424*h - 420.
(h - 105)*(h - 2)**2
Factor 3*b**4 - 9*b**3 + 3*b**2 + 9*b - 6.
3*(b - 2)*(b - 1)**2*(b + 1)
Factor -g**2/12 - 173*g/12 + 29/2.
-(g - 1)*(g + 174)/12
Let -2*n**3 - 28*n**2 - 114*n - 144 = 0. What is n?
-8, -3
Factor -3*v**4/4 - 18*v**3 - 144*v**2 - 384*v.
-3*v*(v + 8)**3/4
Solve 8*f**4 + 66*f**3 - 16*f**2 - 264*f - 64 = 0 for f.
-8, -2, -1/4, 2
Let -4*l**5 - 52*l**4 - 220*l**3 - 284*l**2 + 160*l + 400 = 0. What is l?
-5, -2, 1
Find a such that -80*a**5 + 508*a**4 + 996*a**3 + 472*a**2 + 64*a = 0.
-1, -2/5, -1/4, 0, 8
Factor 3*x**2 + 357*x - 1098.
3*(x - 3)*(x + 122)
Determine r so that -5*r**3 - 1965*r**2 - 192075*r + 194045 = 0.
-197, 1
Solve -3*w**3 + 6*w**2 + 267*w - 270 = 0 for w.
-9, 1, 10
Factor -x**3 + 6*x**2 + 7*x - 60.
-(x - 5)*(x - 4)*(x + 3)
What is w in -4*w**5 - 20*w**4 + 52*w**3 - 28*w**2 = 0?
-7, 0, 1
Find a, given that 3*a**4/7 + 179*a**3/7 + 765*a**2/7 - 275*a/7 = 0.
-55, -5, 0, 1/3
Factor 3*r**3/8 + 9*r**2/4 - 3*r/8 - 9/4.
3*(r - 1)*(r + 1)*(r + 6)/8
Factor -4*j**5 + 12*j**4 + 124*j**3 + 260*j**2 + 216*j + 64.
-4*(j - 8)*(j + 1)**3*(j + 2)
Factor 2*o**3/13 - 8*o**2/13 + 6*o/13.
2*o*(o - 3)*(o - 1)/13
Factor 3*z**3/2 + 18*z**2 + 72*z + 96.
3*(z + 4)**3/2
Let 2*g**4 + 62*g**3 + 324*g**2 + 616*g + 400 = 0. What is g?
-25, -2
Let -4*z**5 + 200*z**4 - 388*z**3 + 192*z**2 = 0. What is z?
0, 1, 48
Factor 4*r**3 - 8*r**2 + 4*r.
4*r*(r - 1)**2
What is q in -3*q**4 - 27*q**3 + 30*q**2 = 0?
-10, 0, 1
Let -4*m**2 - 576*m + 580 = 0. What is m?
-145, 1
Factor 3*s**3 - 69*s**2 + 66*s.
3*s*(s - 22)*(s - 1)
Factor 2*y**3/5 + 52*y**2/5 - 112*y/5.
2*y*(y - 2)*(y + 28)/5
Factor -2*o**5 - 34*o**4 + 74*o**3 - 38*o**2.
-2*o**2*(o - 1)**2*(o + 19)
Factor -5*a**3 + 115*a**2 - 475*a - 595.
-5*(a - 17)*(a - 7)*(a + 1)
Solve 3*f**5 + 255*f**4 + 5274*f**3 - 6846*f**2 - 28509*f - 16641 = 0 for f.
-43, -1, 3
Factor -5*l**2 - 145*l + 310.
-5*(l - 2)*(l + 31)
Factor 6*y**3 + 39*y**2 - 21*y.
3*y*(y + 7)*(2*y - 1)
Factor 2*g**5/9 - 358*g**4/9 - 724*g**3/9.
2*g**3*(g - 181)*(g + 2)/9
Factor 147*u**3 - 4347*u**2 + 2448*u - 348.
3*(u - 29)*(7*u - 2)**2
Let -3*g**3/4 + 72*g**2 + 297*g + 300 = 0. Calculate g.
-2, 100
Solve 2*s**3/15 - 6*s**2/5 + 28*s/15 = 0.
0, 2, 7
Factor s**2 - 16*s - 36.
(s - 18)*(s + 2)
Find g, given that -2*g**5 + 20*g**4 - 62*g**3 + 52*g**2 + 56*g - 80 = 0.
-1, 2, 5
Find d, given that d**4/2 + 22*d**3 + 41*d**2/2 - 43*d = 0.
-43, -2, 0, 1
Let 2*u**2 - 30*u = 0. What is u?
0, 15
Solve -35*f**4/4 + 165*f**3 + 1535*f**2/4 + 210*f = 0.
-8/7, -1, 0, 21
Factor -2*k**2/5 + 164*k/5.
-2*k*(k - 82)/5
Find a, given that a**4/3 + 8*a**3/3 + 8*a**2 + 32*a/3 + 16/3 = 0.
-2
Find i such that -i**2 + 24*i = 0.
0, 24
Determine u so that -15*u**4/4 - 5*u**3 - 5*u**2/4 = 0.
-1, -1/3, 0
Factor 3*a**4 - 3*a**3 - 30*a**2 - 24*a.
3*a*(a - 4)*(a + 1)*(a + 2)
Factor 3*z**2 - 24*z.
3*z*(z - 8)
Factor -3*r**2/5 - 123*r/5 - 234.
-3*(r + 15)*(r + 26)/5
Factor a**2/8 + 23*a/4 + 11.
(a + 2)*(a + 44)/8
Factor 1458*f**3/5 + 702*f**2/5 - 658*f/5 + 98/5.
2*(f + 1)*(27*f - 7)**2/5
What is v in v**3/6 + v**2/3 - 4*v/3 = 0?
-4, 0, 2
Suppose 12*p**5 + 4*p**4 - 16*p**3 = 0. Calculate p.
-4/3, 0, 1
Factor -3*g**3/2 + 5*g**2/2 + 6*g.
-g*(g - 3)*(3*g + 4)/2
Find x, given that 28*x**5 - 36*x**4 - 272*x**3 - 144*x**2 + 64*x = 0.
-2, -1, 0, 2/7, 4
What is n in -28*n**4 - 12*n**3 + 28*n**2 + 12*n = 0?
-1, -3/7, 0, 1
Let g**4/2 - 17*g**3/2 - 3*g**2/2 + 53*g/2 - 17 = 0. What is g?
-2, 1, 17
Factor 2*d**4 - 14*d**3 + 30*d**2 - 26*d + 8.
2*(d - 4)*(d - 1)**3
Factor -2*k**3 + 12*k**2 - 16*k.
-2*k*(k - 4)*(k - 2)
Find c such that -3*c**4 + 213*c**3 = 0.
0, 71
Find c, given that -2*c**4 - 8*c**3 + 66*c**2 + 8*c - 64 = 0.
-8, -1, 1, 4
Factor 6*j**3 - 53*j**2 + 82*j - 35.
(j - 7)*(j - 1)*(6*j - 5)
Factor 4*t**2 - 20328*t + 25826724.
4*(t - 2541)**2
Let -5*t**5 - 25*t**4 + 170*t**3 - 110*t**2 - 165*t + 135 = 0. What is t?
-9, -1, 1, 3
Let -2*q**3/9 - 244*q**2 - 89304*q - 10895088 = 0. Calculate q.
-366
Determine w, given that 4*w**3 + 14*w**2 + 14*w + 4 = 0.
-2, -1, -1/2
Determine r so that -3*r**5 + 24*r**3 + 18*r**2 - 21*r - 18 = 0.
-2, -1, 1, 3
Factor 3*a**5 - 42*a**4 - 96*a**3.
3*a**3*(a - 16)*(a + 2)
Let -3*b**4/4 + 5*b**3/2 + 9*b**2/4 - 9*b + 5 = 0. Calculate b.
-2, 1, 10/3
Determine y so that y**2/6 + 206*y/3 + 137/2 = 0.
-411, -1
Solve 2*l**5 + 22*l**4 - 74*l**3 - 262*l**2 + 312*l = 0 for l.
-13, -3, 0, 1, 4
Let -m**2/3 + 20*m/3 + 44/3 = 0. Calculate m.
-2, 22
Factor -128*v**4/9 - 1120*v**3/3 + 856*v**2/3 - 646*v/9 + 6.
-2*(v + 27)*(4*v - 1)**3/9
Find z such that 5*z**2/3 + 10*z/3 + 5/3 = 0.
-1
Factor -2*p**2/13 - 60*p/13 - 418/13.
-2*(p + 11)*(p + 19)/13
Factor -4*z**2 + 44*z - 96.
-4*(z - 8)*(z - 3)
Factor -2*f**3/5 + 98*f/5 + 48.
-2*(f - 8)*(f + 3)*(f + 5)/5
Factor -4*b**3 - 152*b**2 - 148*b.
-4*b*(b + 1)*(b + 37)
Solve 16*o**3 - 116*o**2 - 100*o + 32 = 0 for o.
-1, 1/4, 8
Factor -2*y**2 - 11168*y - 11166.
-2*(y + 1)*(y + 5583)
Factor -5*b**2 + 185*b.
-5*b*(b - 37)
Factor -200*d**5 - 970*d**4 - 1531*d**3/2 + 7753*d**2/8 - 553*d/2 + 49/2.
-(4*d - 1)**3*(5*d + 14)**2/8
What is z in -3*z**5/2 + 3*z**4 + 15*z**3/2 - 9*z**2 = 0?
-2, 0, 1, 3
Factor -2*v**3/9 - 14*v**2/9 + 28*v/9 + 80/3.
-2*(v - 4)*(v + 5)*(v + 6)/9
Factor -z**4/8 - 7*z**3/2 - 131*z**2/4 - 231*z/2 - 1089/8.
-(z + 3)**2*(z + 11)**2/8
Factor k**2/6 - 415*k/3 + 172225/6.
(k - 415)**2/6
Determine n, given that -2*n**5/7 - 16*n**4/7 + 152*n**3/7 - 236*n**2/7 - 150*n/7 + 36 = 0.
-14, -1, 1, 3
Factor 2*w**2/11 - 40*w/11 + 38/11.
2*(w - 19)*(w - 1)/11
Let -c**2/4 + 27*c/2 = 0. What is c?
0, 54
Determine z so that 15*z**2 + 1803*z - 1452 = 0.
-121, 4/5
Factor -3*n**2 + 143*n + 48.
-(n - 48)*(3*n + 1)
Suppose 4*g**4/17 + 26*g**3/17 + 14*g**2/17 - 74*g/17 + 30/17 = 0. What is g?
-5, -3, 1/2, 1
Find g such that -2*g**4/3 - 5*g**3/3 - 4*g**2/3 - g/3 = 0.
-1, -1/2, 0
Factor -40*j**5 + 465*j**4 - 1260*j**3 - 540*j**2.
-5*j**2*(j - 6)**2*(8*j + 3)
Solve 5*o**3/8 - 3*o**2/8 - 4*o - 3/2 = 0 for o.
-2, -2/5, 3
Find a such that -a**2 - 24*a = 0.
-24, 0
Factor 2*c**3/3 - 136*c**2/3 + 984*c - 6912.
2*(c - 32)*(c - 18)**2/3
Let 5*r**2 + 1035*r = 0. What is r?
-207, 0
Let -w**3/11 + 1381*w**2/11 + 5536*w/11 + 5540/11 = 0. What is w?
-2, 1385
Find h such that -2*h**3 + 11*h**2 - 15*h = 0.
0, 5/2, 3
Factor 3*a**2 - 300*a - 4788.
3*(a - 114)*(a + 14)
Factor d**3 + 17*d**2/3 - 18*d + 16/3.
(d - 2)*(d + 8)*(3*d - 1)/3
Solve 2*i**4/9 - 22*i**3/9 + 58*i**2/9 - 2*i/9 - 28/3 = 0 for i.
-1, 2, 3, 7
Solve -2*d**3 + 680*d**2 = 0 for d.
0, 340
Determine q so that 4*q**4/3 + 2*q**3/3 - 8*q**2/3 - 2*q = 0.
-1, 0, 3/2
Factor 2*n**3/9 + 92*n**2/9 + 178*n/9 + 88/9.
2*(n + 1)**2*(n + 44)/9
Determine w so that -w**5/6 + 5*w**4 - 139*w**3/3 + 404*w**2/3 - 299*w/2 + 169/3 = 0.
1, 2, 13
Factor 4*a**2 + 1264*a + 99856.
4*(a + 158)**2
Factor -2*b**3 - 100*b**2 - 282*b.
-2*b*(b + 3)*(b + 47)
Solve 5*v**2 + 500*v - 3180 = 0.
-106, 6
Factor 9*d**4 - 52*d**3 + 69*d**2 + 18*d.
d*(d - 3)**2*(9*d + 2)
Factor 5*g**3 + 15*g**2 - 30*g - 40.
5*(g - 2)*(g + 1)*(g + 4)
Factor a**3/2 - 9*a**2 + 71*a/2 - 39.
(a - 13)*(a - 3)*(a - 2)/2
Let -3*c**3/7 + 1530*c**2/7 - 260100*c/7 + 14739000/7 = 0. What is c?
170
Factor 2*y**2/3 - 6*y + 40/3.
2*(y - 5)*(y - 4)/3
Factor -g**2/6 - 103*g/3 - 10609/6.
-(g + 103)**2/6
Suppose -2*b**4 + 36*b**3 - 136*b**2 + 60*b + 234 = 0. Calculate b.
-1, 3, 13
Factor 21*y**4 - 141*y**3 + 189*y**2 - 39*y - 30.
3*(y - 5)*(y - 1)**2*(7*y + 2)
Solve 4*l**3 - 16*l**2 - 384*l = 0 for l.
-8, 0, 12
Factor -7*d**3/3 + 10*d**2 + 9*d - 10/3.
-(d - 5)*(d + 1)*(7*d - 2)/3
Determine c so that 3*c**5 - 30*c**4 + 108*c**3 - 162*c**2 + 81*c = 0.
0, 1, 3
Factor 2*z**5/13 - 62*z**4/13 + 118*z**3/13 - 58*z**2/13.
2*z**2*(z - 29)*(z - 1)**2/13
Suppose 2*b**3/17 + 2*b**2 - 208*b/17 + 264/17 = 0. What is b?
-22, 2, 3
Factor -5*k**5 + 25*k**4 - 45*k**3 + 35*k**2 - 10*k.
-5*k*(k - 2)*(k - 1)**3
Factor -2*z**4/15 - 104*z**3/15 - 98*z**2/5.
-2*z**2*(z + 3)*(z + 49)/15
Solve -l**5/3 - 26*l**4/3 - 15*l**3 + 24*l**2 = 0.
-24, -3,