+ 84*l**2 - 144*l/7 = 0.
-12, 0, 3/11, 2
Factor j**4 - 3*j**3 - 13*j**2 + 51*j - 36.
(j - 3)**2*(j - 1)*(j + 4)
Suppose x**2/3 + 8*x/3 - 3 = 0. Calculate x.
-9, 1
Determine j, given that -5*j**2/4 - 15*j/4 + 45/2 = 0.
-6, 3
Factor 2*s**3 - 16*s**2 + 40*s - 32.
2*(s - 4)*(s - 2)**2
Let z**2 + 203*z/2 - 51 = 0. Calculate z.
-102, 1/2
Let 9*i**2 + 24*i = 0. What is i?
-8/3, 0
Determine s so that -5*s**5 + 20*s**4 + 60*s**3 = 0.
-2, 0, 6
What is d in 2*d**3/5 - 1064*d**2/5 + 141512*d/5 = 0?
0, 266
Factor -15*h**3 - 350*h**2 + 1920*h - 1120.
-5*(h - 4)*(h + 28)*(3*h - 2)
Factor o**3/4 - 6*o**2 - 60*o - 128.
(o - 32)*(o + 4)**2/4
Factor 5*y**3 - 185*y**2 + 170*y + 360.
5*(y - 36)*(y - 2)*(y + 1)
Find i such that -2*i**5/7 - 10*i**4/7 - 12*i**3/7 = 0.
-3, -2, 0
What is x in -x**3 - 28*x**2 + 355*x + 814 = 0?
-37, -2, 11
Let -b**2 + 462*b - 461 = 0. What is b?
1, 461
Suppose -5*a**4/4 + 27*a**3/4 - 23*a**2/4 - 27*a/4 + 7 = 0. What is a?
-1, 1, 7/5, 4
Find o such that -2*o**4 - 400*o**3 - 1578*o**2 - 1964*o - 784 = 0.
-196, -2, -1
Factor k**3 - 2*k**2 - 8*k.
k*(k - 4)*(k + 2)
Factor 5*z**3 + 30*z**2 + 60*z + 40.
5*(z + 2)**3
Factor -2*p**3/5 + 18*p**2/5 - 54*p/5 + 54/5.
-2*(p - 3)**3/5
Find x such that -5*x**2 - 90*x - 325 = 0.
-13, -5
Find v, given that 4*v**5/5 - 16*v**4/5 + 4*v**3/5 + 56*v**2/5 - 16*v + 32/5 = 0.
-2, 1, 2
Factor k**3/4 - 33*k**2/4 - 35*k/2.
k*(k - 35)*(k + 2)/4
Factor 3*u**3/5 - 21*u**2 - 336*u/5 - 228/5.
3*(u - 38)*(u + 1)*(u + 2)/5
Let -r**3/2 + 55*r**2/2 - 107*r/2 + 53/2 = 0. Calculate r.
1, 53
Factor -3*m**2/5 + 78*m - 2535.
-3*(m - 65)**2/5
Let -2*k**2 + 1300*k - 211250 = 0. Calculate k.
325
Let -v**3/4 + 3*v**2/4 + v = 0. Calculate v.
-1, 0, 4
What is t in -2*t**3/3 - 14*t**2/3 + 20*t/3 + 32/3 = 0?
-8, -1, 2
Factor -5*o**2 + 2095*o.
-5*o*(o - 419)
Solve 2*u**4/5 - 122*u**3/5 + 2288*u**2/5 - 12168*u/5 = 0 for u.
0, 9, 26
Factor -3*u**4 + 24*u**3 - 21*u**2.
-3*u**2*(u - 7)*(u - 1)
Factor 5*d**5 - 150*d**4 + 285*d**3 - 140*d**2.
5*d**2*(d - 28)*(d - 1)**2
Suppose -4*r**5 + 12*r**4 + 28*r**3 - 44*r**2 - 24*r + 32 = 0. Calculate r.
-2, -1, 1, 4
Factor 5*b**3 - 110*b**2 - 520*b.
5*b*(b - 26)*(b + 4)
Let -4*b**4 - 8*b**3 - 4*b**2 = 0. Calculate b.
-1, 0
Factor 12*m**5 + 9*m**4 - 3*m**3.
3*m**3*(m + 1)*(4*m - 1)
Suppose 2*q**3/17 + 66*q**2/17 - 138*q/17 + 70/17 = 0. What is q?
-35, 1
Factor 2*b**3 - 130*b**2 + 1904*b + 6936.
2*(b - 34)**2*(b + 3)
Find p, given that 6*p**5 - 4*p**4 - 2*p**3 = 0.
-1/3, 0, 1
Factor t**4 + t**3 - 15*t**2 + 23*t - 10.
(t - 2)*(t - 1)**2*(t + 5)
Let 2*m**5/11 + 8*m**4/11 + 6*m**3/11 = 0. Calculate m.
-3, -1, 0
What is f in -3*f**5 + 18*f**4 + 45*f**3 - 240*f**2 - 252*f + 432 = 0?
-3, -2, 1, 4, 6
What is y in -2*y**3/15 - 1162*y**2/15 - 33872*y/3 - 33640/3 = 0?
-290, -1
Let -k**5/7 - 13*k**4/7 - 7*k**3 - 79*k**2/7 - 58*k/7 - 16/7 = 0. Calculate k.
-8, -2, -1
Factor -v**2/2 - 2*v - 2.
-(v + 2)**2/2
Solve -189*n**4 + 1269*n**3 - 1509*n**2 - 561*n + 30 = 0.
-1/3, 1/21, 2, 5
Determine i, given that i**4/2 + i**3/8 - i**2/2 - i/8 = 0.
-1, -1/4, 0, 1
Solve -2*f**4/3 + 50*f**2/3 + 40*f + 24 = 0.
-3, -2, -1, 6
Find u, given that -4*u**3 + 212*u**2 - 2700*u - 2916 = 0.
-1, 27
What is x in -2*x**5 + 142*x**4/3 + 70*x**3 - 82*x**2 - 100*x/3 = 0?
-2, -1/3, 0, 1, 25
Factor -h**5/5 + 123*h**4/5 - 482*h**3/5 + 718*h**2/5 - 477*h/5 + 119/5.
-(h - 119)*(h - 1)**4/5
Factor -b**4 + 4*b**3 + b**2 - 4*b.
-b*(b - 4)*(b - 1)*(b + 1)
Factor 236*a**2 - 8*a.
4*a*(59*a - 2)
Factor 4*s**4 + 532*s**3 - 3396*s**2 - 8372*s - 4448.
4*(s - 8)*(s + 1)**2*(s + 139)
Suppose 2*k**2/9 - 2*k/3 - 4 = 0. What is k?
-3, 6
Solve -3*y**2/2 - 297*y/2 = 0 for y.
-99, 0
Factor -441*g**3 + 1758*g**2 - 1740*g - 24.
-3*(g - 2)**2*(147*g + 2)
Let -r**3 - 97*r**2 - 2091*r + 13005 = 0. Calculate r.
-51, 5
Find a such that -6*a**5/13 + 38*a**4/13 - 8*a**3/13 - 24*a**2/13 = 0.
-2/3, 0, 1, 6
Factor -3*x**3/2 - 45*x**2/2 - 117*x/2 + 165/2.
-3*(x - 1)*(x + 5)*(x + 11)/2
Let -3*x**3 + 174*x**2 + 369*x - 540 = 0. What is x?
-3, 1, 60
Determine k so that 10*k**4 - 54*k**3 + 50*k**2 + 78*k - 36 = 0.
-1, 2/5, 3
Let -53*v**5/2 + 797*v**4/2 - 3263*v**3/2 + 1235*v**2/2 + 2576*v - 98 = 0. What is v?
-1, 2/53, 2, 7
Solve 4*o**2 - 1440*o + 4284 = 0.
3, 357
Factor -s**4/3 + 13*s**3 - 308*s**2/3.
-s**2*(s - 28)*(s - 11)/3
Factor -h**2/2 + 4*h - 15/2.
-(h - 5)*(h - 3)/2
Find g such that 44*g**3 + 444*g**2 + 436*g + 36 = 0.
-9, -1, -1/11
What is v in 6*v**5 - 81*v**4 + 228*v**3 - 177*v**2 - 36*v + 60 = 0?
-1/2, 1, 2, 10
Let -2*y**4/7 + 36*y**3 - 7680*y**2/7 - 16384*y/7 = 0. What is y?
-2, 0, 64
Determine y so that -y**3/5 - 6*y**2/5 + 7*y/5 = 0.
-7, 0, 1
Factor -r**4/5 - 156*r**3/5 - 5926*r**2/5 + 12324*r/5 - 6241/5.
-(r - 1)**2*(r + 79)**2/5
Find o such that -o**4/2 + 357*o**3 - 64080*o**2 + 126736*o = 0.
0, 2, 356
Factor -2*j**3/5 - 1016*j**2/5 - 8032*j/5 - 3200.
-2*(j + 4)**2*(j + 500)/5
Let l**3/2 - 5*l**2 - 87*l/2 - 72 = 0. What is l?
-3, 16
Factor b**2/3 + 5772*b + 24986988.
(b + 8658)**2/3
Suppose -4*z**5 - 92*z**4 - 720*z**3 - 2432*z**2 - 3712*z - 2112 = 0. Calculate z.
-11, -6, -2
Factor -3*m**2 + 120*m + 828.
-3*(m - 46)*(m + 6)
What is s in -5*s**4/4 - 25*s**3 = 0?
-20, 0
Suppose 4*k**5 + 3*k**4 - 4*k**3 - 3*k**2 = 0. Calculate k.
-1, -3/4, 0, 1
Factor h**2/2 + 37*h/2 - 19.
(h - 1)*(h + 38)/2
Find d, given that 2*d**4 - 24*d**3 + 42*d**2 - 20*d = 0.
0, 1, 10
Determine i, given that 2*i**5 + 648*i**4/7 + 6190*i**3/7 - 30484*i**2/7 + 25800*i/7 + 10000/7 = 0.
-25, -2/7, 2
Solve 6*g**2/7 + 972*g/7 = 0 for g.
-162, 0
What is f in -5*f**5 + 45*f**4 - 120*f**3 + 100*f**2 = 0?
0, 2, 5
Factor a**3 + 38*a**2 + 105*a.
a*(a + 3)*(a + 35)
Suppose 7*x**4/3 - 41*x**3/3 + 71*x**2/3 - 31*x/3 - 2 = 0. What is x?
-1/7, 1, 2, 3
Factor -5*m**2 + 815*m - 810.
-5*(m - 162)*(m - 1)
Factor 2*r**4/5 + 18*r**3/5 + 46*r**2/5 + 6*r/5 - 72/5.
2*(r - 1)*(r + 3)**2*(r + 4)/5
Suppose t**4/3 + 13*t**3/3 + 47*t**2/3 + 59*t/3 + 8 = 0. Calculate t.
-8, -3, -1
Factor 2*j**5/7 - 8*j**4/7 - 6*j**3/7 + 36*j**2/7.
2*j**2*(j - 3)**2*(j + 2)/7
Factor -4184*l**2/13 + 2*l/13.
-2*l*(2092*l - 1)/13
Determine o, given that -3*o**4 - 9*o**3 + 81*o**2 + 177*o + 90 = 0.
-6, -1, 5
Let -12*w**4 + 356*w**3 - 1168*w**2 + 624*w = 0. What is w?
0, 2/3, 3, 26
Let -2*f**5/11 - 2*f**4 - 36*f**3/11 + 4*f**2/11 + 38*f/11 + 18/11 = 0. What is f?
-9, -1, 1
Suppose 3*x**4/5 - 12*x**3/5 - 21*x**2/5 + 6*x = 0. Calculate x.
-2, 0, 1, 5
Find q, given that -16*q**3 - 95416*q**2 + 47711*q - 5964 = 0.
-5964, 1/4
What is p in 8*p**4 - 5*p**3 - 171*p**2 + 297*p + 135 = 0?
-5, -3/8, 3
Solve 4*k**4/3 + 128*k**3/3 + 404*k**2/3 - 1208*k/3 + 224 = 0 for k.
-28, -6, 1
Find v, given that -5*v**3 + 115*v**2 - 310*v + 200 = 0.
1, 2, 20
Factor -g**4 - 7*g**3 - 8*g**2 + 16*g.
-g*(g - 1)*(g + 4)**2
Determine w so that -w**2/9 - 35*w/9 = 0.
-35, 0
What is x in 5*x**4/2 - 61*x**3/3 - 449*x**2/6 - 134*x/3 + 22/3 = 0?
-2, -1, 2/15, 11
Determine b, given that 4*b**5 - 24*b**4 - 112*b**3 + 24*b**2 + 108*b = 0.
-3, -1, 0, 1, 9
Let r**2 - 133*r + 132 = 0. Calculate r.
1, 132
Factor -2*t**3 - 22*t**2 - 48*t.
-2*t*(t + 3)*(t + 8)
Suppose -3*d**3 - 42*d**2 + 51*d + 90 = 0. What is d?
-15, -1, 2
Factor k**2/5 - 8*k/5 + 7/5.
(k - 7)*(k - 1)/5
Factor -4*o**2 - 3928*o - 964324.
-4*(o + 491)**2
Determine y, given that 5*y**3 + 100*y**2 + 560*y + 960 = 0.
-12, -4
Determine o, given that o**2/5 - 26*o/5 + 168/5 = 0.
12, 14
Factor i**2 - 48*i - 1825.
(i - 73)*(i + 25)
Factor f**2 - 53*f + 630.
(f - 35)*(f - 18)
Determine d, given that 3*d**5 + 12*d**4 - 234*d**3 + 648*d**2 - 81*d - 972 = 0.
-12, -1, 3
Factor -3*k**3 - 60*k**2 - 111*k - 54.
-3*(k + 1)**2*(k + 18)
Factor 5*z**4 + 120*z**3 + 1080*z**2 + 4320*z + 6480.
5*(z + 6)**4
Solve -2*h**4/9 - 8*h**3 - 716*h**2/9 - 136*h - 578/9 = 0.
-17, -1
Determine g so that -g**3/2 + 7*g**2/2 + 4*g = 0.
-1, 0, 8
Determine r, given that -3*r**4/8 - 3*r**3/2 + 57*r**2/8 - 21*r/4 = 0.
-7, 0, 1, 2
Factor -8*c**5/9 + 74*c**4/9 - 2*c**3.
-2*c**3*(c - 9)*(4*c - 1)/9
Determine m, given that -2*m**2 + 11584*m - 16773632 = 0.
2896
Find p such that -10*p**2 + 2125*p = 0.
0, 425/2
Factor 2*w**2/7 + 36*w/7 + 162/7.
2*(w + 9)**2/7
Determine a, given that 3*a**3/4 + 195*a**2/4 - 51*a - 99 = 0.
-66, -1, 2
Factor 2*w**5 - 14*w**4 + 30*w**3 - 26*