*l - 516 = 0.
-86, -6, -1
Factor k**4 - 9*k**3 + 14*k**2.
k**2*(k - 7)*(k - 2)
Suppose 5*u**2/2 + 48*u + 19/2 = 0. Calculate u.
-19, -1/5
Factor 2*x**2/9 + 64*x + 4608.
2*(x + 144)**2/9
Determine c so that -3*c**3/4 + 9*c**2 + 81*c/4 + 21/2 = 0.
-1, 14
Find c, given that -4*c**5/3 + 260*c**4/9 + 964*c**3/9 + 892*c**2/9 + 200*c/9 = 0.
-2, -1, -1/3, 0, 25
Suppose 4*a**4 - 28*a**3 + 24*a**2 + 128*a - 128 = 0. Calculate a.
-2, 1, 4
Find u such that 147*u**5/2 - 945*u**4/2 - 3228*u**3 - 4956*u**2 - 2088*u - 264 = 0.
-2, -2/7, 11
Factor 3*c**3/5 + 267*c**2/5.
3*c**2*(c + 89)/5
Suppose -y**5 - 49*y**4/4 + 90*y**3 + 445*y**2/4 - 794*y - 204 = 0. What is y?
-17, -3, -1/4, 4
Let 4*q**2 + 58*q - 96 = 0. What is q?
-16, 3/2
Find z such that 5*z**5 + 40*z**4 + 85*z**3 - 70*z**2 - 420*z - 360 = 0.
-3, -2, 2
Let 8*q**5/9 - 24*q**4 - 2*q**3/3 + 164*q**2/9 - 6*q = 0. Calculate q.
-1, 0, 1/2, 27
Factor 2*c**3/13 + 9372*c**2/13 + 14639064*c/13 + 7622072656/13.
2*(c + 1562)**3/13
Solve -12*u**4 + 176*u**3 - 700*u**2 + 392*u = 0.
0, 2/3, 7
Solve 2*l**2/5 - 24*l/5 + 64/5 = 0.
4, 8
Factor 2*r**2/3 - 80*r/3.
2*r*(r - 40)/3
Factor h**5/3 - 8*h**4/3 + 8*h**3 - 34*h**2/3 + 23*h/3 - 2.
(h - 3)*(h - 2)*(h - 1)**3/3
Solve -2560*v**3 - 2880*v**2 - 1080*v - 135 = 0 for v.
-3/8
Let -3*f**4 - 360*f**3 - 7536*f**2 + 195840*f - 887808 = 0. Calculate f.
-68, 8
Suppose -75*f**5 - 7140*f**4 + 13023*f**3 - 6972*f**2 + 1164*f = 0. Calculate f.
-97, 0, 2/5, 1
Suppose 2*s**5/13 - 10*s**4/13 - 16*s**3/13 + 24*s**2/13 = 0. What is s?
-2, 0, 1, 6
Let j**3/3 - 2*j**2 - 13*j/3 + 14 = 0. Calculate j.
-3, 2, 7
Factor -5*d**3 - 25*d**2 - 35*d - 15.
-5*(d + 1)**2*(d + 3)
Solve x**4 - 15*x**3 + 45*x**2 + 95*x - 126 = 0 for x.
-2, 1, 7, 9
Factor -2*s**2/9 + 32/9.
-2*(s - 4)*(s + 4)/9
Suppose -3*f**3 + 9*f**2 + 30*f - 72 = 0. What is f?
-3, 2, 4
Factor l**4/3 - 5*l**3 - 64*l**2/3 + 368*l + 384.
(l - 12)**2*(l + 1)*(l + 8)/3
Factor 5*u**5 + 45*u**4 + 130*u**3 + 90*u**2 - 135*u - 135.
5*(u - 1)*(u + 1)*(u + 3)**3
Suppose -6*b**3/11 - 30*b**2/11 - 42*b/11 - 18/11 = 0. Calculate b.
-3, -1
Solve 4*p**5 + 8*p**4 - 44*p**3 - 48*p**2 = 0.
-4, -1, 0, 3
Factor 3*b**4 - 6*b**3 + 3*b**2.
3*b**2*(b - 1)**2
Factor 3*p**5 - 6*p**3 + 3*p.
3*p*(p - 1)**2*(p + 1)**2
Factor 324*u**4 + 69192*u**3 + 3678676*u**2 - 1645232*u + 183184.
4*(u + 107)**2*(9*u - 2)**2
Factor -3*v**4 + 81*v**3 - 354*v**2 + 540*v - 264.
-3*(v - 22)*(v - 2)**2*(v - 1)
Solve -y**3/5 - 4*y**2/5 + y = 0.
-5, 0, 1
Solve -3*o**3/4 + 57*o**2 - 5655*o/4 + 22707/2 = 0 for o.
18, 29
Factor -2116*a**4 - 44068*a**3 + 7712*a**2 - 336*a.
-4*a*(a + 21)*(23*a - 2)**2
Factor 3*m**4 - 72*m**3 + 549*m**2 - 1380*m + 900.
3*(m - 10)**2*(m - 3)*(m - 1)
Let -a**2/2 - 44*a - 87/2 = 0. Calculate a.
-87, -1
Factor 80*r**3 - 321*r**2 - 396*r + 5.
(r - 5)*(r + 1)*(80*r - 1)
Factor 3*l**3/2 - 72*l**2 + 1134*l - 5880.
3*(l - 20)*(l - 14)**2/2
Factor -c**3 + 73*c**2 - 143*c + 71.
-(c - 71)*(c - 1)**2
Let -g**4/7 + 11*g**3/7 - 38*g**2/7 + 52*g/7 - 24/7 = 0. What is g?
1, 2, 6
Factor f**4/7 + 4*f**3/7 - 19*f**2/7 - 46*f/7 - 24/7.
(f - 4)*(f + 1)**2*(f + 6)/7
What is c in 9*c**4/2 + 21*c**3 - 42*c**2 - 36*c = 0?
-6, -2/3, 0, 2
Suppose -16*p**5 + 780*p**4 - 10412*p**3 + 19796*p**2 + 39468*p + 8464 = 0. What is p?
-1, -1/4, 4, 23
What is b in -2*b**2/3 + 12*b + 38/3 = 0?
-1, 19
What is r in 3*r**5 - 42*r**4 - 153*r**3 - 12*r**2 + 204*r = 0?
-2, 0, 1, 17
Factor -2*t**2/3 + 7*t/6 + 1/3.
-(t - 2)*(4*t + 1)/6
Find n, given that 4*n**2/5 - 2948*n/5 = 0.
0, 737
Factor z**4 + z**3 - 3*z**2 - z + 2.
(z - 1)**2*(z + 1)*(z + 2)
Determine s so that -s**3 - 143*s**2 + 1824*s - 5580 = 0.
-155, 6
Factor -6*b**2 - 8*b - 2.
-2*(b + 1)*(3*b + 1)
Factor -2*z**2/7 - 194*z/7.
-2*z*(z + 97)/7
Suppose 4*u**2/7 - 519*u/7 - 130/7 = 0. What is u?
-1/4, 130
Factor 245*v**3 - 3535*v**2 - 2080*v - 300.
5*(v - 15)*(7*v + 2)**2
Factor -5*q**3/3 + 175*q**2/3 + 660*q.
-5*q*(q - 44)*(q + 9)/3
Suppose -4*h**4 + 37*h**3 + 31*h**2 - 10*h = 0. What is h?
-1, 0, 1/4, 10
What is z in -2*z**3/3 - 6*z**2 - 40*z/3 - 8 = 0?
-6, -2, -1
Let r**2/2 - 7*r - 36 = 0. Calculate r.
-4, 18
Factor 2*l**2 - 876*l + 1744.
2*(l - 436)*(l - 2)
Solve 5*h**3 - 80*h**2 + 420*h - 720 = 0 for h.
4, 6
Determine u, given that 6*u**4/5 + 2*u**3/5 - 11*u**2/10 - u/10 + 1/5 = 0.
-1, -1/2, 1/2, 2/3
Determine c so that -2*c**3 - 2*c**2 + 10*c - 6 = 0.
-3, 1
Let 50*b**5/3 - 385*b**4/6 + 39*b**3 + 34*b**2/3 - 7*b/3 - 1/2 = 0. Calculate b.
-1/5, 1/4, 1, 3
Solve 2*k**5 - 8*k**4 + 6*k**3 + 8*k**2 - 8*k = 0 for k.
-1, 0, 1, 2
Let 243*v**3 + 1188*v**2 + 1452*v = 0. Calculate v.
-22/9, 0
Let 2*c**3 + 56*c**2 - 266*c - 320 = 0. What is c?
-32, -1, 5
Suppose -7*w**3 - 31*w**2/2 - 3*w = 0. What is w?
-2, -3/14, 0
Suppose -2*p**3/19 - 3412*p**2/19 = 0. Calculate p.
-1706, 0
Factor 8*z**3 - 52*z**2 - 1852*z - 912.
4*(z - 19)*(z + 12)*(2*z + 1)
Let r**2 + 7590*r + 14402025 = 0. Calculate r.
-3795
Factor -5*q**4 - 465*q**3 - 1365*q**2 - 1355*q - 450.
-5*(q + 1)**3*(q + 90)
Solve -f**2/4 + 49*f - 195/4 = 0 for f.
1, 195
Factor -3*z**4 + 1362*z**3 - 207900*z**2 + 10935000*z - 40500000.
-3*(z - 150)**3*(z - 4)
Factor -o**3 + 336*o**2 + 675*o + 338.
-(o - 338)*(o + 1)**2
Factor 3*i**3 - 693*i**2 + 53361*i - 1369599.
3*(i - 77)**3
Factor 2*u**5 + 11*u**4 + 13*u**3 + 4*u**2.
u**2*(u + 1)*(u + 4)*(2*u + 1)
Find t, given that 2*t**5/5 + 978*t**4/5 - 982*t**3/5 - 978*t**2/5 + 196*t = 0.
-490, -1, 0, 1
Solve 14*k**4 + 24*k**3 - 64*k**2 - 96*k + 32 = 0.
-2, 2/7, 2
Determine v, given that v**3/4 - 6*v**2 + 21*v/4 + 23/2 = 0.
-1, 2, 23
Factor -o**3/5 + 492*o**2/5 + 987*o/5 + 494/5.
-(o - 494)*(o + 1)**2/5
Let -5*h**2 + 305*h + 18810 = 0. Calculate h.
-38, 99
Find v such that 3*v**5 + 6*v**4 - 18*v**3 - 60*v**2 - 57*v - 18 = 0.
-2, -1, 3
Factor -8*g**3 - 76*g**2 - 32*g + 36.
-4*(g + 1)*(g + 9)*(2*g - 1)
Solve 16*x**2 + 140*x - 344 = 0.
-43/4, 2
Suppose -2*u**4/21 + 4*u**3/21 + 8*u**2/21 - 16*u/21 = 0. Calculate u.
-2, 0, 2
Let 2*y**3/5 + 8*y**2/5 - 418*y/5 + 408/5 = 0. What is y?
-17, 1, 12
Find r such that 5*r**2 + 125*r = 0.
-25, 0
Suppose 2*o**5/3 - 6*o**4 + 44*o**3/3 - 4*o**2 - 46*o/3 + 10 = 0. Calculate o.
-1, 1, 3, 5
Let -5*n**3 - 320*n**2 - 5425*n - 9610 = 0. Calculate n.
-31, -2
Suppose j**2 - 98*j + 2401 = 0. Calculate j.
49
Factor -4*m**3 - 16*m**2 + 112*m - 128.
-4*(m - 2)**2*(m + 8)
Determine d, given that 3*d**3 - 192*d**2 - 393*d - 198 = 0.
-1, 66
Determine z, given that 2*z**4/9 + 8*z**3/9 + 2*z**2/3 - 8*z/9 - 8/9 = 0.
-2, -1, 1
Factor d**3 + 25*d**2 + 43*d - 69.
(d - 1)*(d + 3)*(d + 23)
Factor -2*k**3/3 + 388*k**2/3 + 782*k/3 + 392/3.
-2*(k - 196)*(k + 1)**2/3
Determine r so that -5*r**5 + 20*r**4 - 25*r**3 + 10*r**2 = 0.
0, 1, 2
Solve -f**4/5 + 2*f**3 + 39*f**2/5 + 4*f/5 - 52/5 = 0 for f.
-2, 1, 13
Factor b**3/2 + 173*b**2/6 + 19*b.
b*(b + 57)*(3*b + 2)/6
Factor l**2/2 + 45*l/2.
l*(l + 45)/2
Find m such that 3*m**3/2 + 147*m**2/2 - 312*m + 318 = 0.
-53, 2
Suppose -16*n**5/9 + 740*n**4/9 - 904*n**3/9 + 20*n**2 = 0. What is n?
0, 1/4, 1, 45
Determine j so that j**3 + 57*j**2 - 117*j + 59 = 0.
-59, 1
Factor -3*f**4/5 - 51*f**3/5 - 18*f**2.
-3*f**2*(f + 2)*(f + 15)/5
Determine l, given that -3*l**2 + 4089*l + 4092 = 0.
-1, 1364
Factor l**3/7 - 4*l**2/7 - l + 10/7.
(l - 5)*(l - 1)*(l + 2)/7
Factor -o**4 + 236*o**3 - 14388*o**2 + 54752*o - 53824.
-(o - 116)**2*(o - 2)**2
Find w such that -2*w**4/11 + 860*w**3/11 - 11232*w**2 + 542828*w - 531674 = 0.
1, 143
What is q in 2*q**3 + 54*q**2 - 188*q - 240 = 0?
-30, -1, 4
Suppose 147*s**4/4 - 217*s**3/2 + 90*s**2 - 39*s/2 + 5/4 = 0. Calculate s.
1/7, 1, 5/3
Factor -2*r**2/5 - 10*r - 48/5.
-2*(r + 1)*(r + 24)/5
Determine j so that -j**3/3 - 18*j**2 - 35*j - 52/3 = 0.
-52, -1
Factor 2*d**4 - 14*d**3 + 30*d**2 - 18*d.
2*d*(d - 3)**2*(d - 1)
Suppose z**3/3 + 100*z**2/3 - 412*z/3 + 416/3 = 0. Calculate z.
-104, 2
Find h such that 18*h**2 - 467*h - 26 = 0.
-1/18, 26
Suppose 2*t**5/5 - 22*t**4/5 + 74*t**3/5 - 58*t**2/5 - 76*t/5 + 16 = 0. What is t?
-1, 1, 2, 4, 5
Factor -200*d**4 + 1320*d**3 - 2538*d**2 + 1188*d - 162.
-2*(d - 3)**2*(10*d - 3)**2
Find w, given that 3*w**4/7 - 54*w**3/7 - 12*w**2 + 486*w/7 + 513/7 = 0.
-3, -1, 3, 19
Factor -j**2 + 24*j - 23.
-(j - 23)*(j - 1)
Determine g, given that g**4 - 417*g**3 - 837*g*