+ 43*j**3/5 - 98*j**2/5 - 72*j = 0 for j.
-45, -2, 0, 4
Let -5*b**4 + 50*b**3 - 160*b**2 + 160*b = 0. What is b?
0, 2, 4
Determine h so that -9*h**3 - 6*h**2 + 25*h/9 - 2/9 = 0.
-1, 1/9, 2/9
Factor -3*r**2 - 111*r - 396.
-3*(r + 4)*(r + 33)
Suppose -4*f**2 - 1188*f + 1192 = 0. What is f?
-298, 1
Solve -p**5/3 + 221*p**4 - 36520*p**3 - 110224*p**2/3 = 0.
-1, 0, 332
Factor 2*o**5 - 258*o**4 + 10548*o**3 - 111780*o**2 - 984150*o - 1640250.
2*(o - 45)**3*(o + 3)**2
Find c such that -3*c**3 + 30*c**2 - 9*c - 162 = 0.
-2, 3, 9
Find t, given that -12*t**4/7 - 352*t**3/7 - 776*t**2/7 - 544*t/7 - 108/7 = 0.
-27, -1, -1/3
Factor -3*s**4 - 804*s**3 + 2433*s**2 - 1626*s.
-3*s*(s - 2)*(s - 1)*(s + 271)
Find i such that -3*i**3 + 3*i**2 + 15*i + 9 = 0.
-1, 3
Factor -3*v**3 - 264*v**2 - 6063*v - 11094.
-3*(v + 2)*(v + 43)**2
Solve 2*y**4/7 - 8*y**3/7 - 54*y**2/7 - 76*y/7 - 32/7 = 0 for y.
-2, -1, 8
Find w such that -4*w**2 + 68*w = 0.
0, 17
Let -2*u**2/11 + 24*u - 792 = 0. What is u?
66
Find g, given that -4*g**4/7 - 136*g**3/7 - 380*g**2/7 - 248*g/7 = 0.
-31, -2, -1, 0
Find x, given that 3*x**2 + 39*x + 66 = 0.
-11, -2
What is r in 3*r**3/4 + 783*r**2/2 - 3141*r/4 + 393 = 0?
-524, 1
Let m**2/6 - 43*m/2 - 131/3 = 0. Calculate m.
-2, 131
Let -5*x**2 + 1750*x + 1755 = 0. What is x?
-1, 351
What is f in 2*f**2 + 16*f + 14 = 0?
-7, -1
Factor -2*o**4 + 28*o**3 - 48*o**2.
-2*o**2*(o - 12)*(o - 2)
Factor -250*q**3/11 - 1200*q**2/11 - 1920*q/11 - 1024/11.
-2*(5*q + 8)**3/11
Find a, given that 5*a**3 - 1470*a**2 - 12080*a = 0.
-8, 0, 302
Let 3*g**2/8 - 12*g = 0. Calculate g.
0, 32
Factor 4*m**2 + 68*m + 280.
4*(m + 7)*(m + 10)
Factor 2*c**4/9 + 2*c**3/3 - 4*c**2/9 - 8*c/3 - 16/9.
2*(c - 2)*(c + 1)*(c + 2)**2/9
Factor 3*t**3 - 24*t**2 - 12*t + 96.
3*(t - 8)*(t - 2)*(t + 2)
Let -16*r**2/7 - 3*r - 5/7 = 0. What is r?
-1, -5/16
Factor -2*f**3 - 50*f**2 - 336*f - 288.
-2*(f + 1)*(f + 12)**2
Let -2*f**2/9 + 416*f/9 - 808/3 = 0. Calculate f.
6, 202
Factor i**4/5 - i**3 - 31*i**2/5 - 43*i/5 - 18/5.
(i - 9)*(i + 1)**2*(i + 2)/5
Factor -o**3/2 - 7*o**2/5 - 7*o/10 + 1/5.
-(o + 1)*(o + 2)*(5*o - 1)/10
Factor 2*c**4 - 14*c**3 - 56*c**2 - 40*c.
2*c*(c - 10)*(c + 1)*(c + 2)
Factor -b**5/7 - 4*b**4 - 268*b**3/7 - 918*b**2/7 - 243*b/7 + 1458/7.
-(b - 1)*(b + 2)*(b + 9)**3/7
Factor 3*j**3 - 5*j**2 + 2*j.
j*(j - 1)*(3*j - 2)
What is p in p**2/4 - 5*p = 0?
0, 20
Factor 2*v**3 + 10*v**2 - 64*v + 72.
2*(v - 2)**2*(v + 9)
Solve -t**2/4 + 2403*t/2 = 0.
0, 4806
Solve -y**2/4 - 2*y - 4 = 0 for y.
-4
Let z**5 + 16*z**4 - 54*z**3 + 56*z**2 - 19*z = 0. What is z?
-19, 0, 1
Suppose 60*n**5 + 1784*n**4 + 12984*n**3 - 4688*n**2 - 8340*n - 1800 = 0. Calculate n.
-15, -2/5, -1/3, 1
Suppose -32*m**5 + 156*m**4 - 172*m**3 - 24*m**2 = 0. What is m?
-1/8, 0, 2, 3
Determine q so that -5*q**2 + 1710*q + 5175 = 0.
-3, 345
Let 2*x**5/13 - 4*x**4/13 - 4*x**3/13 + 8*x**2/13 + 2*x/13 - 4/13 = 0. Calculate x.
-1, 1, 2
Find a, given that 4*a**3 - 4*a = 0.
-1, 0, 1
Solve 5*n**4 + 565*n**3 - 3525*n**2 + 5355*n = 0.
-119, 0, 3
Find g, given that 3*g**4 + 45*g**3 - 753*g**2 + 2655*g - 1950 = 0.
-26, 1, 5
Find a such that -3*a**4/8 + 3453*a**3/8 + 10377*a**2/8 + 10383*a/8 + 1731/4 = 0.
-1, 1154
Factor 5*x**2/4 - 3*x/2 - 63/4.
(x + 3)*(5*x - 21)/4
Factor -2*f**3/9 - 94*f**2/9 - 304*f/3 - 280.
-2*(f + 6)**2*(f + 35)/9
Determine s, given that -75*s**5 + 360*s**4 - 327*s**3 - 342*s**2 + 348*s - 72 = 0.
-1, 2/5, 2, 3
Determine m, given that -50*m**5 + 415*m**4 - 91*m**3 - 226*m**2 - 48*m = 0.
-2/5, -3/10, 0, 1, 8
Solve k**2 - 535*k - 1074 = 0.
-2, 537
Suppose -15*u**5 - 48*u**4 + 303*u**3/5 + 192*u**2/5 - 228*u/5 + 48/5 = 0. Calculate u.
-4, -1, 2/5, 1
Suppose 8*z**4 + 460*z**3 + 672*z**2 - 4*z - 224 = 0. Calculate z.
-56, -1, 1/2
Solve -b**3/6 - 10*b**2 - 111*b/2 - 81 = 0 for b.
-54, -3
Factor -o**3/3 - 2*o**2/3 + 5*o/3 + 2.
-(o - 2)*(o + 1)*(o + 3)/3
Let 4*k**4/5 - 4*k**3/5 - 48*k**2/5 + 112*k/5 - 64/5 = 0. Calculate k.
-4, 1, 2
Let -3*g**4 - 42*g**3 + 72*g**2 + 378*g - 405 = 0. Calculate g.
-15, -3, 1, 3
Solve -z**3/4 - 147*z**2/4 + 150*z - 151 = 0 for z.
-151, 2
Factor 28*t**4 + 300*t**3 - 88*t**2.
4*t**2*(t + 11)*(7*t - 2)
Factor 2*s**2 - 68*s + 66.
2*(s - 33)*(s - 1)
Factor t**4/4 + 25*t**3 + 975*t**2/2 - 6875*t + 75625/4.
(t - 5)**2*(t + 55)**2/4
Determine i, given that -4*i**2 - 96*i + 100 = 0.
-25, 1
Factor -5*j**4 - 610*j**3 - 19785*j**2 - 71980*j - 69620.
-5*(j + 2)**2*(j + 59)**2
What is q in -4*q**5 + 16*q**4 - 4*q**3 - 24*q**2 = 0?
-1, 0, 2, 3
Determine y, given that 2*y**5 - 34*y**4 + 170*y**3 - 246*y**2 + 108*y = 0.
0, 1, 6, 9
Suppose 2*j**4/9 - 8*j**3/9 + 10*j**2/9 - 4*j/9 = 0. What is j?
0, 1, 2
Solve 4*x**4/11 - 18*x**3/11 + 24*x**2/11 - 10*x/11 = 0.
0, 1, 5/2
Factor -f**4 - 178*f**3 - 176*f**2 + 178*f + 177.
-(f - 1)*(f + 1)**2*(f + 177)
Factor 3*y**5 - 90*y**4 + 1050*y**3 - 5880*y**2 + 15435*y - 14406.
3*(y - 7)**4*(y - 2)
Let 2*a**5 + 13*a**4 - 35*a**2 + 8*a + 12 = 0. Calculate a.
-6, -2, -1/2, 1
Factor -4*a**5/13 + 10*a**4/13 - 4*a**3/13.
-2*a**3*(a - 2)*(2*a - 1)/13
Solve 18*s**5 - 105*s**4 + 122*s**3 + 47*s**2 - 26*s - 8 = 0.
-1/3, 1/2, 2, 4
What is z in -4*z**4/9 + 208*z**3/3 + 212*z**2 + 16*z/9 - 848/3 = 0?
-2, 1, 159
Factor t**4/6 - 3*t**3 + 18*t**2 - 36*t.
t*(t - 6)**3/6
Factor -2*c**4 + 44*c**3 - 42*c**2.
-2*c**2*(c - 21)*(c - 1)
Factor -2*b**2/9 - 208*b/3 + 626/9.
-2*(b - 1)*(b + 313)/9
Factor -4*i**3 - 52*i**2 + 232*i + 640.
-4*(i - 5)*(i + 2)*(i + 16)
Factor 3*f**3 - 45*f**2 - 219*f - 171.
3*(f - 19)*(f + 1)*(f + 3)
What is m in 3*m**4 + 30*m**3 - 9*m**2 - 96*m - 60 = 0?
-10, -1, 2
Let -5*m**2/3 + 300*m = 0. What is m?
0, 180
Let 10*s**4 + 39*s**3 - 54*s**2 + 5*s = 0. Calculate s.
-5, 0, 1/10, 1
Find d, given that 2*d**2/7 - 62*d/7 + 116/7 = 0.
2, 29
Solve -5*o**3 + 2420*o**2 - 4825*o + 2410 = 0 for o.
1, 482
Determine q so that -q**2/5 - 3592*q/5 - 3225616/5 = 0.
-1796
Factor 4*c**3 + 10*c**2 + 4*c.
2*c*(c + 2)*(2*c + 1)
Determine k, given that -3*k**3/2 - 30*k**2 + 3*k/2 + 30 = 0.
-20, -1, 1
Factor -5*n**3/6 - 145*n**2/6 - 220*n - 600.
-5*(n + 5)*(n + 12)**2/6
Factor 2*o**3/5 + 402*o**2/5 + 236*o - 1584/5.
2*(o - 1)*(o + 4)*(o + 198)/5
Suppose 2*m**3 + 6*m**2 - 18*m - 54 = 0. What is m?
-3, 3
Factor -5*q**2 + 6460*q - 2086580.
-5*(q - 646)**2
Factor 5*s**4 + 80*s**3 + 75*s**2.
5*s**2*(s + 1)*(s + 15)
Factor -v**3/3 - 659*v**2/3.
-v**2*(v + 659)/3
Solve 2*o**3/5 + 432*o**2 + 155520*o + 18662400 = 0 for o.
-360
Let -4*x**4 - 40*x**3 + 16*x**2 + 616*x - 588 = 0. What is x?
-7, 1, 3
What is t in 24*t**2/17 - 106*t/17 + 60/17 = 0?
2/3, 15/4
Determine b, given that -4*b**4/3 - 332*b**3/3 + 340*b**2/3 + 332*b/3 - 112 = 0.
-84, -1, 1
Factor 55*c**4 + 100*c**3 - 20*c**2.
5*c**2*(c + 2)*(11*c - 2)
Factor -t**5 + 10*t**4 + 3*t**3 - 28*t**2 - 20*t.
-t*(t - 10)*(t - 2)*(t + 1)**2
Solve 2*n**4 + 48*n**3 - 162*n**2 = 0 for n.
-27, 0, 3
Solve 12*x**4/7 - 15*x**3/7 - 9*x**2/7 + 15*x/7 - 3/7 = 0 for x.
-1, 1/4, 1
Find r such that r**5/4 - 3*r**3 + r**2/2 + 27*r/4 - 9/2 = 0.
-3, -2, 1, 3
Factor 8*u**2 - 4148*u - 4156.
4*(u + 1)*(2*u - 1039)
Factor 85*x**4 - 435*x**3 + 390*x**2 - 40*x.
5*x*(x - 4)*(x - 1)*(17*x - 2)
Factor 2*m**3/15 + 26*m**2 + 384*m/5.
2*m*(m + 3)*(m + 192)/15
Determine s so that 2*s**4 + 2*s**3 - 8*s**2 - 8*s = 0.
-2, -1, 0, 2
Factor 2*z**2 + 182*z.
2*z*(z + 91)
Let -5*l**3 - 160*l**2 - 1505*l - 4410 = 0. Calculate l.
-18, -7
Factor -2*d**5/5 + 92*d**4/5.
-2*d**4*(d - 46)/5
Solve -2*w**3/9 + 26*w**2/9 + 128*w/9 + 136/9 = 0.
-2, 17
Factor -3*l**2/2 - 16176*l - 43610496.
-3*(l + 5392)**2/2
What is b in 42*b**5/5 + 548*b**4/5 - 594*b**3/5 - 436*b**2/5 + 552*b/5 - 112/5 = 0?
-14, -1, 2/7, 2/3, 1
Factor -3*o**3/4 + 31455*o**2/4 - 109935225*o/4 + 128074537125/4.
-3*(o - 3495)**3/4
Factor a**3 - 59*a**2 - 122*a.
a*(a - 61)*(a + 2)
Factor -l**3/4 - 3*l**2.
-l**2*(l + 12)/4
Factor 4*o**2 - 20*o - 96.
4*(o - 8)*(o + 3)
Suppose -v**5/5 + 8*v**4/5 - 22*v**3/5 + 24*v**2/5 - 9*v/5 = 0. What is v?
0, 1, 3
Factor z**3 - 66*z**2 - 499*z - 876.
(z - 73)*(z + 3)*(z + 4)
Factor 5*q**4/4 - 27*q**3 - 419*q**2/4 - 75*q/2.
q*(q - 25)*(q + 3)*(5*q + 2)/4
Factor -2*i**3/5 + 496*i**2/5 - 578*i - 3388/5.
-2*(i - 242)*(i - 7)*(i + 1)/5
Factor 5*x**2 - 635*x + 1860.
5*(x - 124)*(x - 3)
What is u in -2*u**5/7 - 8*u