3, 1, 12
Let 2*n**3/13 + 34*n**2/13 + 20*n/13 - 192/13 = 0. What is n?
-16, -3, 2
Factor 2*b**3 + 460*b**2 + 27346*b + 102152.
2*(b + 4)*(b + 113)**2
Determine f, given that -4*f**4 - 212*f**3 - 3288*f**2 - 12672*f - 13824 = 0.
-24, -3, -2
Factor -13*h**3 + 206*h**2 - 475*h - 78.
-(h - 13)*(h - 3)*(13*h + 2)
Let -4*j**4 - 32*j**3 - 88*j**2 - 96*j - 36 = 0. What is j?
-3, -1
Factor 3*d**3/5 - 216*d**2/5 + 3663*d/5 + 8214/5.
3*(d - 37)**2*(d + 2)/5
Factor 5*l**2 - 290*l - 295.
5*(l - 59)*(l + 1)
Let 5*n**5/3 - 10*n**4/3 - 20*n**3/3 + 40*n**2/3 = 0. Calculate n.
-2, 0, 2
Suppose 5*q**5 - 730*q**4 - 2220*q**3 - 2230*q**2 - 745*q = 0. What is q?
-1, 0, 149
Suppose 10*l**5 - 15*l**4 - 45*l**3 - 5*l**2 + 15*l = 0. Calculate l.
-1, 0, 1/2, 3
Factor l**2 - 27*l - 90.
(l - 30)*(l + 3)
Factor -u**4/3 - 374*u**3/3 - 15500*u**2 - 1906250*u/3 + 1953125/3.
-(u - 1)*(u + 125)**3/3
Factor 6*w**3/5 - 38*w**2/5 + 8*w/5 + 24/5.
2*(w - 6)*(w - 1)*(3*w + 2)/5
Let 2*t**3/7 + 30*t**2/7 + 54*t/7 + 26/7 = 0. Calculate t.
-13, -1
Factor -5*f**3/4 - 55*f**2 - 405*f/4 + 315/2.
-5*(f - 1)*(f + 3)*(f + 42)/4
Determine o, given that -3*o**5 + 27*o**4 - 36*o**3 - 240*o**2 + 576*o = 0.
-3, 0, 4
Solve 2*i**5 - 1512*i**4 + 428652*i**3 - 54010152*i**2 + 2551979682*i = 0 for i.
0, 189
Factor -4*n**4/3 - 4888*n**3/3 - 499388*n**2 - 2981680*n/3 - 1488400/3.
-4*(n + 1)**2*(n + 610)**2/3
Factor 2*q**2/7 - 1524*q/7 + 290322/7.
2*(q - 381)**2/7
Find b, given that 5*b**2 - 235*b + 2100 = 0.
12, 35
Factor -k**2/2 - 184*k - 16928.
-(k + 184)**2/2
Find c such that 3*c**5/7 + 423*c**4/7 + 18045*c**3/7 + 219237*c**2/7 + 696384*c/7 - 934092/7 = 0.
-62, -9, 1
What is u in 81*u**3/2 - 99*u**2/2 + 12*u + 2 = 0?
-1/9, 2/3
Suppose -28*i**4 - 20*i**3 + 232*i**2 + 272*i - 96 = 0. Calculate i.
-2, 2/7, 3
Suppose 4*f**3/3 - 116*f**2/3 + 240*f = 0. What is f?
0, 9, 20
Factor 4*h**4 + 11*h**3 - 64*h**2 + 79*h - 30.
(h - 1)**2*(h + 6)*(4*h - 5)
Determine o, given that 2*o**3/11 + 56*o**2/11 + 392*o/11 + 576/11 = 0.
-18, -8, -2
Factor 722*o**2/11 + 912*o/11 + 288/11.
2*(19*o + 12)**2/11
Factor -3*b**4 - 117*b**3 - 330*b**2 - 216*b.
-3*b*(b + 1)*(b + 2)*(b + 36)
Suppose -3*j**4 - 15*j**3 + 63*j**2 + 159*j + 84 = 0. Calculate j.
-7, -1, 4
What is u in 4*u**4/5 - 4*u**3 - 28*u**2/5 + 4*u + 24/5 = 0?
-1, 1, 6
Factor -q**2/5 + 47*q/5 - 132/5.
-(q - 44)*(q - 3)/5
Factor 3*k**3 - 741*k**2 - 1494*k.
3*k*(k - 249)*(k + 2)
Factor -3*r**5 + 1308*r**4 - 141258*r**3 - 286452*r**2 - 143883*r.
-3*r*(r - 219)**2*(r + 1)**2
Determine j so that 2*j**3 - 56*j**2 + 104*j = 0.
0, 2, 26
Solve 3*r**3/4 + 51*r**2/4 + 33*r + 21 = 0 for r.
-14, -2, -1
Factor -8*f**3/5 - 208*f**2 + 1046*f/5 - 262/5.
-2*(f + 131)*(2*f - 1)**2/5
Factor -2*h**4/13 + 40*h**3/13 - 186*h**2/13 + 252*h/13.
-2*h*(h - 14)*(h - 3)**2/13
Determine g, given that -g**2/8 - 2*g - 15/2 = 0.
-10, -6
Find g, given that -2*g**2/19 - 1584*g/19 = 0.
-792, 0
What is v in -3*v**4/8 + 549*v**3/8 + 1683*v**2/4 + 1695*v/2 + 567 = 0?
-2, 189
Solve l**5/4 + 23*l**4/4 + 57*l**3/2 + 53*l**2 + 34*l = 0 for l.
-17, -2, 0
Factor s**3/2 - 43*s**2/2 + 220*s + 242.
(s - 22)**2*(s + 1)/2
Find c such that -c**5/3 - 5*c**4/3 + 34*c**3/3 - 22*c**2/3 - 11*c + 9 = 0.
-9, -1, 1, 3
Factor 5*l**5 - 585*l**4 + 1155*l**3 - 575*l**2.
5*l**2*(l - 115)*(l - 1)**2
Solve -2*q**5 - 404*q**4/5 + 676*q**3/5 + 152*q**2/5 - 666*q/5 + 252/5 = 0 for q.
-42, -1, 3/5, 1
Find d, given that -d**3/8 + 3*d**2/4 + d/8 - 15/4 = 0.
-2, 3, 5
Let -2*r**5/9 - 2*r**4/3 + 14*r**3/9 + 10*r**2/3 - 4*r = 0. What is r?
-3, 0, 1, 2
Solve -w**4 + 208*w**3/3 + 2953*w**2 + 24864*w - 25856/3 = 0 for w.
-16, 1/3, 101
Factor 2*i**3 - 32*i**2/3 + 8*i + 32/3.
2*(i - 4)*(i - 2)*(3*i + 2)/3
Find j such that -3*j**5/5 - 27*j**4 - 2238*j**3/5 - 16302*j**2/5 - 47151*j/5 - 6591 = 0.
-13, -5, -1
Solve -7*m**4/3 + 34*m**3/3 - 37*m**2/3 - 2*m = 0 for m.
-1/7, 0, 2, 3
Find y such that -4*y**5 - 64*y**4 - 248*y**3 - 320*y**2 - 132*y = 0.
-11, -3, -1, 0
Determine q so that 21*q**5 - 233*q**4 + 967*q**3 - 1791*q**2 + 1296*q - 108 = 0.
2/21, 2, 3
Solve -2*v**3/3 - 92*v**2/5 - 1358*v/15 + 196/5 = 0.
-21, -7, 2/5
Factor o**3/4 - o**2/4 - o/4 + 1/4.
(o - 1)**2*(o + 1)/4
Factor -y**2/7 + 79*y/7 + 246/7.
-(y - 82)*(y + 3)/7
Let 3*t**3 + 54*t**2 - 3*t - 54 = 0. Calculate t.
-18, -1, 1
Find x such that -625*x**2 + 25*x - 1/4 = 0.
1/50
Factor 3*m**2 - 22812*m + 43365612.
3*(m - 3802)**2
Factor 2*f**2 + 40*f + 38.
2*(f + 1)*(f + 19)
Factor j**4/2 + 16*j**3 + 303*j**2/2 + 322*j - 490.
(j - 1)*(j + 5)*(j + 14)**2/2
Factor 5*s**3/3 + 25*s**2 + 120*s + 180.
5*(s + 3)*(s + 6)**2/3
Factor -4*l**2 - 20*l.
-4*l*(l + 5)
Suppose -3*j**4/2 - 4*j**3 + 3*j**2 + 4*j - 3/2 = 0. Calculate j.
-3, -1, 1/3, 1
Suppose 2*r**4 - 34*r**2 + 72*r - 40 = 0. What is r?
-5, 1, 2
Factor 2*i**2 - 4484*i + 2513282.
2*(i - 1121)**2
Factor -2*i**4/11 - 90*i**3/11 + 500*i**2/11.
-2*i**2*(i - 5)*(i + 50)/11
Suppose 3*z**2/8 + 9*z/8 = 0. Calculate z.
-3, 0
Determine f so that 2*f**2 - 132*f + 2178 = 0.
33
Factor a**3/3 - 2*a**2 - 9*a.
a*(a - 9)*(a + 3)/3
Solve -3*h**5 + 216*h**4 - 834*h**3 + 1236*h**2 - 819*h + 204 = 0.
1, 68
Solve i**2/4 - 1278*i + 1633284 = 0.
2556
Suppose -3*d**4 - 3*d**3 + 111*d**2 - 105*d = 0. Calculate d.
-7, 0, 1, 5
Let -15*k**4 + 20*k**3 + 25*k**2 - 10*k = 0. Calculate k.
-1, 0, 1/3, 2
Suppose 12*m**5 + 4*m**4 - 1800*m**3 + 11400*m**2 - 18500*m - 7500 = 0. What is m?
-15, -1/3, 5
Solve -u**4/3 - 2*u**3/3 + u**2/3 + 2*u/3 = 0 for u.
-2, -1, 0, 1
Let 5*u**2 + 165*u + 700 = 0. Calculate u.
-28, -5
Solve -2*n**3/3 - 2*n**2 + 8*n/3 + 8 = 0.
-3, -2, 2
Factor -5*g**3 + 60*g**2 - 115*g - 180.
-5*(g - 9)*(g - 4)*(g + 1)
Factor -4*n**2 - 204*n + 208.
-4*(n - 1)*(n + 52)
Find t such that -2*t**2/3 + 872*t/3 - 95048/3 = 0.
218
Let -3*h**2 - 36*h + 975 = 0. What is h?
-25, 13
Solve -8*u**5/7 + 4*u**4/7 + 16*u**3/7 - 8*u**2/7 - 8*u/7 + 4/7 = 0.
-1, 1/2, 1
Solve -3*d**4/5 - 36*d**3/5 - 48*d**2/5 + 144*d/5 + 48 = 0 for d.
-10, -2, 2
Solve 2*k**3/13 - 864*k**2/13 + 124416*k/13 - 5971968/13 = 0.
144
Factor -2*f**4/5 - 52*f**3/5 - 98*f**2/5 - 48*f/5.
-2*f*(f + 1)**2*(f + 24)/5
Factor -1444*m**3/15 - 342*m**2/5 - 56*m/5 - 8/15.
-2*(2*m + 1)*(19*m + 2)**2/15
Let -4*s**5 + 20*s**4 - 20*s**3 - 20*s**2 + 24*s = 0. Calculate s.
-1, 0, 1, 2, 3
Solve 4*q**3 - 92*q**2 - 128*q + 9216 = 0 for q.
-9, 16
Let 2*l**2/5 - 26*l/5 - 28/5 = 0. What is l?
-1, 14
Solve -h**2/5 - 15*h = 0 for h.
-75, 0
Suppose 2*m**3/5 + 94*m**2/5 + 702*m/5 - 10206/5 = 0. Calculate m.
-27, 7
Factor -x**3 + 149*x**2 + 454*x + 304.
-(x - 152)*(x + 1)*(x + 2)
Find p such that -p**5 + 478*p**4 + 1922*p**3 + 2888*p**2 + 1927*p + 482 = 0.
-1, 482
Find k such that 20*k**5 + 16*k**4 - 108*k**3 - 88*k**2 + 112*k + 96 = 0.
-2, -1, 6/5, 2
Factor -4*u**4 - 269*u**3 + 480*u**2 - 207*u.
-u*(u - 1)*(u + 69)*(4*u - 3)
Factor -z**2 + 2*z - 1.
-(z - 1)**2
Factor -2*f**4 - 4*f**3 + 80*f**2 - 128*f.
-2*f*(f - 4)*(f - 2)*(f + 8)
Let -d**5 - 297*d**4 + 905*d**3 + 1497*d**2 - 904*d - 1200 = 0. What is d?
-300, -1, 1, 4
Determine j, given that -3*j**4/7 + 3*j**2/7 = 0.
-1, 0, 1
Solve -h**4 + 41*h**3 - 440*h**2 + 400*h = 0 for h.
0, 1, 20
Let -2*u**2 + 12*u - 18 = 0. What is u?
3
Factor -a**3 - 62*a**2 - 121*a - 60.
-(a + 1)**2*(a + 60)
Factor 2*g**3/7 - 16*g**2/7 + 34*g/7 - 20/7.
2*(g - 5)*(g - 2)*(g - 1)/7
Suppose -5*z**2/2 + 49*z + 20 = 0. Calculate z.
-2/5, 20
Factor -5*c**2 - 11200*c - 11195.
-5*(c + 1)*(c + 2239)
Suppose 2*o**4/7 - 26*o**3/7 + 24*o**2/7 = 0. Calculate o.
0, 1, 12
What is v in 2*v**3 - 10*v**2 + 8*v = 0?
0, 1, 4
Determine k so that 2*k**2/5 - 8*k/5 - 2 = 0.
-1, 5
Factor -2*v**4 + 4*v**3 + 14*v**2 - 40*v + 24.
-2*(v - 2)**2*(v - 1)*(v + 3)
Factor -3*x**2/5 + 63*x/5 - 12.
-3*(x - 20)*(x - 1)/5
What is l in 3*l**4 - 222*l**3 + 3879*l**2 + 8436*l + 4332 = 0?
-1, 38
Factor -4*c**4 + 52*c**3 - 188*c**2 + 236*c - 96.
-4*(c - 8)*(c - 3)*(c - 1)**2
Find h such that -h**2 - 4*h = 0.
-4, 0
Factor -u**5 + 19*u**4 + u**3 - 19*u**2.
-u**2*(u - 19)*(u - 1)*(u + 1)
Determine n so that -5*n**3 + 115*n**2 - 300*n = 0.
0, 3, 20
Factor u**3 - 4*u**2 - 12*u.
u*(u - 6)*(u + 2)
Find m such that 50*m**5 - 60*m**4 - 782*m**3 + 960*m**2 - 288*m = 0.
-4, 0, 3/5, 4
Factor c**4/5 + 11*c**3/5 + 8*c**2 + 48*c/5.
c*(c + 3)*(c + 4)**2/5
Factor -3*p**4/5