y**2/5 + 67*y/5 = 0.
-67, 0
Factor -l**2 - 33*l - 252.
-(l + 12)*(l + 21)
Solve 2401*r**3/4 - 21413*r**2/4 - 440*r - 9 = 0 for r.
-2/49, 9
Suppose 3*g**5 + 330*g**4 - 1359*g**3 + 1038*g**2 + 1356*g - 1368 = 0. What is g?
-114, -1, 1, 2
Factor -2*k**2/11 + 70*k/11 + 72/11.
-2*(k - 36)*(k + 1)/11
Suppose q**5/10 + 59*q**4/5 - q**3/10 - 59*q**2/5 = 0. What is q?
-118, -1, 0, 1
Suppose x**2 + 16*x + 48 = 0. What is x?
-12, -4
Determine y so that -4*y**4 - 84*y**3 = 0.
-21, 0
Determine b, given that 2*b**2/17 - 3074*b/17 + 3072/17 = 0.
1, 1536
Factor -80498880*q**4 - 21170160*q**3 + 508860*q**2 - 3925*q + 10.
-5*(7*q + 2)*(132*q - 1)**3
Factor -3*s**3/4 + 11439*s**2/4 - 14538969*s/4 + 6159676533/4.
-3*(s - 1271)**3/4
Factor 52*i**3 - 206*i**2 + 148*i + 6.
2*(i - 3)*(i - 1)*(26*i + 1)
Factor -2*l**3/3 - 52*l**2/3 - 184*l/3 - 176/3.
-2*(l + 2)**2*(l + 22)/3
Factor 5*v**5 - 20*v**4 + 25*v**3 - 10*v**2.
5*v**2*(v - 2)*(v - 1)**2
Factor 34*k**2/7 - 676*k/7 - 80/7.
2*(k - 20)*(17*k + 2)/7
Find z such that z**3/7 + 30*z**2/7 - 211*z/7 + 180/7 = 0.
-36, 1, 5
Suppose -5*x**5 - 295*x**4 - 290*x**3 = 0. Calculate x.
-58, -1, 0
Factor -3*z**4 - 84*z**3 - 159*z**2 - 78*z.
-3*z*(z + 1)**2*(z + 26)
Factor 3*b**3 - 519*b**2 + 1029*b - 513.
3*(b - 171)*(b - 1)**2
Find o such that -63*o**2/8 + 69*o/4 - 3 = 0.
4/21, 2
What is a in -8*a**5 + 246*a**4 + 2190*a**3 + 532*a**2 = 0?
-7, -1/4, 0, 38
Let -2*q**4/7 - 4*q**3/7 + 216*q**2/7 + 124*q - 154 = 0. What is q?
-7, 1, 11
Find q, given that -3*q**4 - 21*q**3 - 42*q**2 - 24*q = 0.
-4, -2, -1, 0
Factor -27*y**2 - 237*y + 54.
-3*(y + 9)*(9*y - 2)
Let 2*c**4/3 + 2*c**3 - 14*c**2/3 - 18*c - 12 = 0. Calculate c.
-3, -2, -1, 3
Factor 3*y**2 - 13680*y + 15595200.
3*(y - 2280)**2
Determine j, given that -j**4/5 + 4*j**3 - 117*j**2/5 + 178*j/5 - 16 = 0.
1, 8, 10
Factor -r**4 - 1344*r**3 - 677376*r**2 - 151732224*r - 12745506816.
-(r + 336)**4
Factor -j**2/3 - 10*j/3 + 56/3.
-(j - 4)*(j + 14)/3
Determine k, given that 34*k**3 - 4*k**2 - 136*k + 16 = 0.
-2, 2/17, 2
Determine z, given that -12*z**4/5 + 544*z**3/5 - 436*z**2 + 1968*z/5 = 0.
0, 4/3, 3, 41
Determine c, given that 8*c**2 - 14*c - 4 = 0.
-1/4, 2
Suppose -p**5/2 + 48*p**4 + 408*p**3 + 832*p**2 = 0. Calculate p.
-4, 0, 104
Factor -o**3 - 5*o**2 + 13*o - 7.
-(o - 1)**2*(o + 7)
What is r in r**2/4 + 261*r/4 - 131/2 = 0?
-262, 1
What is p in 2*p**5/5 + 22*p**4/5 + 92*p**3/5 + 184*p**2/5 + 176*p/5 + 64/5 = 0?
-4, -2, -1
Factor 2*p**2/5 + 6*p + 20.
2*(p + 5)*(p + 10)/5
Factor c**5/3 + 10*c**4/3 + 25*c**3/3.
c**3*(c + 5)**2/3
Let -f**5/4 + 7*f**4 + 32*f**3 = 0. Calculate f.
-4, 0, 32
Factor 4*m**4 + 20*m**3 - 52*m**2 + 28*m.
4*m*(m - 1)**2*(m + 7)
Suppose -3*n**2 - 10677*n + 10680 = 0. Calculate n.
-3560, 1
Suppose 21*b**4 - 1779*b**3 - 9876*b**2 - 10236*b - 2160 = 0. What is b?
-4, -1, -2/7, 90
Let 5*g**4/3 - 3200*g**3/3 + 521510*g**2/3 - 1014400*g + 1507335 = 0. What is g?
3, 317
Factor -18*b**2 - 33*b + 51.
-3*(b - 1)*(6*b + 17)
Find h, given that 1232*h**3/3 + 2462*h**2/3 + 1228*h/3 - 2/3 = 0.
-1, 1/616
Determine b so that -150*b**5 + 430*b**4 - 154*b**3 - 350*b**2 + 312*b - 72 = 0.
-1, 3/5, 2/3, 2
Find b, given that -3*b**2 + 21*b - 36 = 0.
3, 4
Find v such that -2*v**2 + 970*v/13 - 296/13 = 0.
4/13, 37
Find m such that 2*m**4/7 - 30*m**3/7 + 144*m**2/7 - 32*m = 0.
0, 4, 7
Factor 5*n**4 + 25*n**3 - 15*n**2 - 85*n - 50.
5*(n - 2)*(n + 1)**2*(n + 5)
Suppose -3*d**5 - 36*d**4 + 84*d**3 - 6*d**2 - 81*d + 42 = 0. Calculate d.
-14, -1, 1
Factor -48*b**3 - 108*b**2 + 405*b/4 - 81/4.
-3*(b + 3)*(8*b - 3)**2/4
Factor 4*o**2 - 12*o + 8.
4*(o - 2)*(o - 1)
Find j such that 3*j**4/5 - j**3/5 - 57*j**2/5 - 71*j/5 + 6 = 0.
-3, -2, 1/3, 5
Determine t, given that 2*t**4 - 120*t**3 + 450*t**2 - 100*t - 672 = 0.
-1, 2, 3, 56
Factor 16*h**3/5 + 27172*h**2/5 + 11539608*h/5 + 2883204/5.
4*(h + 849)**2*(4*h + 1)/5
Solve 4*k**5 - 8*k**4 - 92*k**3 + 96*k**2 + 576*k = 0.
-3, 0, 4
Factor u**3 - 1928*u**2 - 1929*u.
u*(u - 1929)*(u + 1)
Solve 2*g**3/5 - 6*g**2/5 - 24*g - 40 = 0.
-5, -2, 10
Factor -r**5 - r**4 + 2*r**3.
-r**3*(r - 1)*(r + 2)
What is g in -3*g**5/4 - 83*g**4/4 + 1233*g**3/2 - 3105*g**2 - 2350*g = 0?
-47, -2/3, 0, 10
Find u, given that u**5/4 + 207*u**4 + 57132*u**3 + 5256144*u**2 = 0.
-276, 0
Suppose a**4/2 + 7*a**3/2 - 33*a**2 - 36*a = 0. What is a?
-12, -1, 0, 6
Suppose -4*n**5/9 + 4*n**4/3 - 4*n**3/3 + 4*n**2/9 = 0. Calculate n.
0, 1
Suppose -5*g**4 + 480*g**3 + 1470*g**2 + 1480*g + 495 = 0. What is g?
-1, 99
Factor -3*x**2/4 - 99*x/2 + 201/4.
-3*(x - 1)*(x + 67)/4
Solve -m**2 - 18148*m - 82337476 = 0.
-9074
Factor l**3/3 + 1700*l**2/3 + 722500*l/3.
l*(l + 850)**2/3
Find d such that -3*d**5 - 30*d**4 + 18*d**3 + 204*d**2 + 249*d + 90 = 0.
-10, -1, 3
Determine g so that -5*g**2 - 225*g = 0.
-45, 0
Factor 5*g**4 + 70*g**3 + 175*g**2 + 110*g.
5*g*(g + 1)*(g + 2)*(g + 11)
Determine i, given that -i**5 - 6*i**4 - 5*i**3 = 0.
-5, -1, 0
Find y such that 4*y**5 - 52*y**4 + 205*y**3 - 280*y**2 + 151*y - 28 = 0.
1/2, 1, 4, 7
Factor x**3 - 49*x**2 - 52*x + 100.
(x - 50)*(x - 1)*(x + 2)
Suppose -g**2/2 + 15*g/4 - 7/4 = 0. What is g?
1/2, 7
Solve -9*q**3 + 597*q**2 + 1644*q + 828 = 0 for q.
-2, -2/3, 69
What is j in j**2 - 403*j + 402 = 0?
1, 402
Find y such that 2*y**4/5 - 24*y**3/5 - 118*y**2/5 - 156*y/5 - 64/5 = 0.
-2, -1, 16
What is m in 8*m**4 + 418*m**3 + 1664*m**2 + 1542*m + 288 = 0?
-48, -3, -1, -1/4
Suppose -2*m**4 + 9*m**3 - 14*m**2 + 9*m - 2 = 0. Calculate m.
1/2, 1, 2
Factor -2*h**3/3 + 132*h**2 + 1370*h + 10400/3.
-2*(h - 208)*(h + 5)**2/3
Factor 5*l**3/3 + 55*l**2/3 + 190*l/3 + 200/3.
5*(l + 2)*(l + 4)*(l + 5)/3
Find f, given that -3*f**5/4 + 9*f**4/4 + 27*f**3/4 - 93*f**2/4 + 27 = 0.
-3, -1, 2, 3
Let -4*v**5 + 276*v**4 - 1064*v**3 + 1576*v**2 - 1044*v + 260 = 0. Calculate v.
1, 65
Factor 2*c**2 - 2528*c + 798848.
2*(c - 632)**2
Suppose -2*i**3/3 + 56*i**2/3 + 58*i/3 = 0. What is i?
-1, 0, 29
Let 4*n**4/5 + 424*n**3/5 + 640*n**2 + 6272*n/5 = 0. What is n?
-98, -4, 0
Determine r so that 2*r**2/5 - 1082*r/5 - 1084/5 = 0.
-1, 542
Let z**2 - 7*z = 0. What is z?
0, 7
Find u such that -3*u**5 + 6*u**4 + 9*u**3 - 12*u**2 - 12*u = 0.
-1, 0, 2
Factor -2*y**3/15 + 74*y**2/15 - 124*y/15 - 112/3.
-2*(y - 35)*(y - 4)*(y + 2)/15
Find i, given that -3*i**3/5 - 48*i**2/5 - 9*i/5 + 108 = 0.
-15, -4, 3
Factor b**3/6 + 130*b**2/3 - 263*b/6 - 87.
(b - 2)*(b + 1)*(b + 261)/6
Factor -2*k**2 - 20*k.
-2*k*(k + 10)
Determine l, given that -3*l**4/7 + 150*l**3/7 + 1521*l**2/7 + 600*l + 2832/7 = 0.
-4, -1, 59
Suppose u**5 - 2*u**4 - 10*u**3 + 20*u**2 + 9*u - 18 = 0. Calculate u.
-3, -1, 1, 2, 3
Let -2*g**4 - 768*g**3 - 3806*g**2 - 6072*g - 3032 = 0. What is g?
-379, -2, -1
What is m in 3*m**5/4 - 9*m**4/2 + 39*m**3/4 - 9*m**2 + 3*m = 0?
0, 1, 2
Factor -2*y**4 - 22*y**3 + 2*y**2 + 22*y.
-2*y*(y - 1)*(y + 1)*(y + 11)
Factor -10*m**3 - 3724*m**2 - 1488*m.
-2*m*(m + 372)*(5*m + 2)
Factor -2*x**2/19 - 3758*x/19 + 3760/19.
-2*(x - 1)*(x + 1880)/19
Suppose -2*f**4/3 - 2*f**3/3 + 2*f**2 + 10*f/3 + 4/3 = 0. Calculate f.
-1, 2
Factor -4*i**3/3 - 19*i**2/9 - 4*i/9.
-i*(3*i + 4)*(4*i + 1)/9
Suppose -3*i**3/4 - 9045*i**2/4 - 9090225*i/4 - 3045225375/4 = 0. What is i?
-1005
Find t such that t**5 - 511*t**4 - t**3 + 511*t**2 = 0.
-1, 0, 1, 511
Find k such that -k**2 - 15*k + 126 = 0.
-21, 6
Solve -2*b**2/9 - 20*b/9 - 2 = 0 for b.
-9, -1
Factor 3*d**2/8 - 327*d/4 + 35643/8.
3*(d - 109)**2/8
Suppose -9*m**5 + 1977*m**4 + 14825*m**3 + 35507*m**2 + 29928*m + 8172 = 0. Calculate m.
-3, -2/3, 227
Find h, given that -2*h**4/7 + 6*h**3/7 - 8*h/7 = 0.
-1, 0, 2
Determine s so that -3*s**2 + 138*s - 819 = 0.
7, 39
Factor -5*g**2 + 3100*g - 480500.
-5*(g - 310)**2
Let -f**4/2 + 9*f**3 - 42*f**2 + 76*f - 48 = 0. Calculate f.
2, 12
Determine h so that h**3 + 614*h**2 + 94249*h = 0.
-307, 0
Determine y, given that -y**3/5 - 3*y**2 - 2*y/5 + 168/5 = 0.
-14, -4, 3
Suppose -360*i**3/7 + 4*i**2/7 + 360*i/7 - 4/7 = 0. What is i?
-1, 1/90, 1
Factor 3*n**2 - 363*n + 2394.
3*(n - 114)*(n - 7)
Suppose 2*i**2/9 - 10*i/9 - 4/3 = 0. What is i?
-1, 6
Determine q so that -6*q**5/11 - 16*q**4/11 - 14*q**3/11 - 4*q**2/11 = 0.
-1, -2/3, 0
Suppose -3*h**4 + 21*h**3 + 9*h**2 - 69*h + 42 = 0. What is h?
-2, 1, 7
Find s, given that -5*s**4 - 5*s**3 + 30*s