olve 2*q**2/7 - 26*q/7 - 600/7 = 0 for q.
-12, 25
Suppose 3*k**5 + 12*k**4 - 96*k**3 - 384*k**2 + 768*k + 3072 = 0. Calculate k.
-4, 4
Determine z so that -36*z**5 + 372*z**4 - 424*z**3 - 88*z**2 + 140*z + 36 = 0.
-1/3, 1, 9
Suppose -2*b**4 + 494*b**3 - 40836*b**2 + 1143080*b - 1102736 = 0. Calculate b.
1, 82
Factor 111*u**3/2 + 93*u**2/2 - 120*u + 18.
3*(u - 1)*(u + 2)*(37*u - 6)/2
Let -2*j**2 - 316*j - 314 = 0. Calculate j.
-157, -1
Let 2*a**5/19 - 2*a**4/19 - 10*a**3/19 + 10*a**2/19 + 8*a/19 - 8/19 = 0. What is a?
-2, -1, 1, 2
What is n in 11*n**4/2 - 45*n**3/4 + 6*n**2 - n/4 = 0?
0, 1/22, 1
Solve 4*q**3 - 40*q**2 + 68*q + 112 = 0.
-1, 4, 7
Factor 80*l**4 + 520*l**3 + 885*l**2 + 350*l + 40.
5*(l + 2)*(l + 4)*(4*l + 1)**2
Determine y so that -3*y**2 + 2229*y + 4470 = 0.
-2, 745
Factor -2*m**2/5 + 78*m/5 - 148/5.
-2*(m - 37)*(m - 2)/5
Determine o so that -10*o**5 + 45*o**4 + 250*o**3 + 245*o**2 - 30*o - 80 = 0.
-2, -1, 1/2, 8
Solve -n**2/4 - 127*n/2 - 16129/4 = 0 for n.
-127
Let 3*s**3/5 + 12*s**2/5 - 33*s/5 + 18/5 = 0. Calculate s.
-6, 1
What is u in u**2 - 5*u - 6 = 0?
-1, 6
Factor -l**2/2 + 14*l - 48.
-(l - 24)*(l - 4)/2
Solve 4*b**5 - 44*b**4 + 36*b**3 + 44*b**2 - 40*b = 0.
-1, 0, 1, 10
Factor 3*v**3/5 + 3996*v**2/5 + 1774224*v/5 + 262585152/5.
3*(v + 444)**3/5
Factor -2*u**3 + 18*u**2 - 22*u - 42.
-2*(u - 7)*(u - 3)*(u + 1)
Factor 6*c**2/7 + 48*c + 648/7.
6*(c + 2)*(c + 54)/7
Determine i so that i**5/3 + 32*i**4 + 1083*i**3 + 14670*i**2 + 62100*i + 81000 = 0.
-30, -3
Factor -3*w**2/8 - 129*w/8 + 33/2.
-3*(w - 1)*(w + 44)/8
Let -4*c**3 + 132*c**2 = 0. Calculate c.
0, 33
Factor 3*o**2/2 + 4833*o/2 + 2415.
3*(o + 1)*(o + 1610)/2
Determine n, given that -n**5/11 + 4*n**4/11 + 30*n**3/11 - 68*n**2/11 + 35*n/11 = 0.
-5, 0, 1, 7
Factor 5*n**2/4 - 549*n/2 - 110.
(n - 220)*(5*n + 2)/4
Solve 4*z**2 - 69248*z + 299705344 = 0.
8656
Factor 105*g**2 + 220*g + 100.
5*(3*g + 2)*(7*g + 10)
Let 36*c**4 + 2388*c**3 - 6572*c**2 + 3580*c - 552 = 0. What is c?
-69, 1/3, 2
Factor -2*u**2/11 - 2020*u/11 - 510050/11.
-2*(u + 505)**2/11
Factor -3*w**3/2 - 4*w**2 + 34*w - 40.
-(w - 2)**2*(3*w + 20)/2
Determine k so that -2*k**2 + 44*k = 0.
0, 22
Factor -l**3/3 - 215*l**2 - 46225*l - 9938375/3.
-(l + 215)**3/3
Factor -2*w**5 - 40*w**4 + 86*w**3 - 44*w**2.
-2*w**2*(w - 1)**2*(w + 22)
Factor 5*t**5 - 35*t**4 + 20*t**3 + 60*t**2.
5*t**2*(t - 6)*(t - 2)*(t + 1)
Solve 2*a**4/21 - 4*a**3/21 + 2*a**2/21 = 0 for a.
0, 1
Factor 2*p**2/3 - 8/3.
2*(p - 2)*(p + 2)/3
Let 2*g**2/17 + 52*g/17 + 50/17 = 0. What is g?
-25, -1
Factor -4*z**2 - 68*z + 152.
-4*(z - 2)*(z + 19)
Factor 2*s**4/9 - 34*s**3/9 - 2*s**2/9 + 34*s/9.
2*s*(s - 17)*(s - 1)*(s + 1)/9
Suppose 3*o**2 + 18*o - 165 = 0. Calculate o.
-11, 5
Factor 5*m**2 + 240*m + 2880.
5*(m + 24)**2
Determine y so that -28*y**4/3 - 80*y**3/3 - 44*y**2/3 + 8*y/3 = 0.
-2, -1, 0, 1/7
Factor -4*h**3 - 64*h**2 - 112*h.
-4*h*(h + 2)*(h + 14)
Factor -v**3/6 - 184*v**2/3 - 32725*v/6 + 34969.
-(v - 6)*(v + 187)**2/6
Suppose -h**3 + 609*h**2 - 93627*h + 275427 = 0. Calculate h.
3, 303
Suppose 24*n**4 - 622*n**3 + 1658*n**2 - 1112*n + 184 = 0. Calculate n.
1/4, 2/3, 2, 23
Factor 5*h**3/12 + 23*h**2/12 - 65*h/6 + 4.
(h - 3)*(h + 8)*(5*h - 2)/12
Factor -p**5 - 132*p**4 - 6465*p**3 - 142082*p**2 - 1338588*p - 4444632.
-(p + 9)**2*(p + 38)**3
Determine t, given that 16*t**3/5 + 38*t**2/5 - 16*t/5 - 38/5 = 0.
-19/8, -1, 1
Solve -3*v**3 - 9*v**2 + 432*v - 1620 = 0.
-15, 6
Solve 45*z**5 - 890*z**4 + 2140*z**3 + 22120*z**2 + 30720*z + 5760 = 0 for z.
-2, -2/9, 12
Suppose -5*x**2 + 455*x - 2150 = 0. Calculate x.
5, 86
Solve -3*q**3/7 + 30*q**2/7 - 48*q/7 = 0 for q.
0, 2, 8
Find a such that 12*a**5 + 280*a**4 + 1968*a**3 + 3360*a**2 - 3200*a = 0.
-10, -4, 0, 2/3
What is r in 21*r**5/2 - 57*r**4/2 - 417*r**3/2 - 51*r**2/2 + 198*r + 54 = 0?
-3, -1, -2/7, 1, 6
What is k in 27*k**4 + 27*k**3 - 66*k**2 - 12*k + 24 = 0?
-2, -2/3, 2/3, 1
Let -o**4/6 + 355*o**3/6 - 10561*o**2/2 + 10443*o/2 = 0. Calculate o.
0, 1, 177
Factor -2*p**2/5 - 458*p/5 - 456/5.
-2*(p + 1)*(p + 228)/5
Let -5*k**4 + 980*k**3 = 0. Calculate k.
0, 196
Factor -3*f**3 - 30*f**2 - 36*f + 216.
-3*(f - 2)*(f + 6)**2
Suppose -o**2/7 - 941*o/7 - 940/7 = 0. What is o?
-940, -1
Suppose -5*l**4 - 7615*l**3 - 3863340*l**2 - 651611600*l + 655482560 = 0. What is l?
-508, 1
Factor n**3 + 291*n**2 + 21600*n + 62208.
(n + 3)*(n + 144)**2
Find j, given that j**3/3 + 17*j**2/3 = 0.
-17, 0
Factor 5*l**3 + 40*l**2 - 45*l.
5*l*(l - 1)*(l + 9)
Solve -3*i**3 + 58*i**2 - 289*i + 90 = 0 for i.
1/3, 9, 10
Factor -5*x**3 + 735*x**2 + 1485*x + 745.
-5*(x - 149)*(x + 1)**2
Factor -5*f**2 - 3850*f - 741125.
-5*(f + 385)**2
Find m, given that 42*m**3 - 80*m**2 - 134*m - 12 = 0.
-1, -2/21, 3
Let -u**4/3 - 202*u**3/3 + 68*u**2 + 202*u/3 - 203/3 = 0. What is u?
-203, -1, 1
Factor a**3/5 - 124*a**2/5 - 379*a/5 - 254/5.
(a - 127)*(a + 1)*(a + 2)/5
Determine d so that -d**5/10 - d**4/5 + d**3/10 + d**2/5 = 0.
-2, -1, 0, 1
Suppose -4*u**5 + 40*u**4 - 96*u**3 + 88*u**2 - 28*u = 0. Calculate u.
0, 1, 7
Factor o**3 + 101*o**2 - 4*o - 404.
(o - 2)*(o + 2)*(o + 101)
Factor 2*g**4 + 34*g**3 - 214*g**2 + 150*g + 396.
2*(g - 3)**2*(g + 1)*(g + 22)
Factor -2*a**3/9 + 32*a**2/9 + 34*a/9.
-2*a*(a - 17)*(a + 1)/9
Let z**2 + 105*z = 0. What is z?
-105, 0
Factor o**4/3 - 7*o**3 + 116*o**2/3 - 32*o.
o*(o - 12)*(o - 8)*(o - 1)/3
Solve -y**3/2 - y**2/3 + 721*y/6 - 40 = 0 for y.
-16, 1/3, 15
What is b in 5*b**5 + 60*b**4 - 385*b**3 + 660*b**2 - 340*b = 0?
-17, 0, 1, 2
Factor f**4/4 - 7*f**3/2 - 95*f**2/4.
f**2*(f - 19)*(f + 5)/4
Let -2*x**4/23 + 7968*x**3/23 - 11904192*x**2/23 + 7904383488*x/23 - 1968191488512/23 = 0. Calculate x.
996
Solve 4*t**4 + 8*t**3 - 28*t**2 - 80*t - 48 = 0.
-2, -1, 3
Factor -4*u**4/7 - 5204*u**3/7 - 1695200*u**2/7 - 1690000*u/7.
-4*u*(u + 1)*(u + 650)**2/7
Determine r, given that 2*r**5/7 + 50*r**4/7 + 94*r**3/7 + 46*r**2/7 = 0.
-23, -1, 0
Factor q**2/2 + 201*q/2 - 203.
(q - 2)*(q + 203)/2
Factor v**4/8 - 5*v**3/4 + 13*v**2/8 + 15*v/2 + 9/2.
(v - 6)**2*(v + 1)**2/8
Suppose 15*a**5/8 + 69*a**4/4 + 327*a**3/8 + 30*a**2 + 9*a/2 = 0. What is a?
-6, -2, -1, -1/5, 0
What is o in -2*o**3 + 50*o**2 = 0?
0, 25
Factor 4*d**5/5 - 4*d**4/5 - 24*d**3/5 - 8*d**2/5 + 4*d + 12/5.
4*(d - 3)*(d - 1)*(d + 1)**3/5
What is o in -14*o**5/9 + 788*o**4/9 - 1400*o**3 + 41392*o**2/9 - 10816*o/9 = 0?
0, 2/7, 4, 26
Solve -a**2/2 + 3*a - 4 = 0 for a.
2, 4
Suppose 2*d**2 + 3976*d + 1976072 = 0. Calculate d.
-994
Solve -3*i**3 - 6*i**2 + 396*i - 1512 = 0.
-14, 6
Factor 4*s**4 + 28*s**3 - 240*s**2 - 448*s + 2816.
4*(s - 4)**2*(s + 4)*(s + 11)
Factor -h**3/9 - 8*h**2/9 - 19*h/9 - 4/3.
-(h + 1)*(h + 3)*(h + 4)/9
Factor 3*c**3 - 18*c**2.
3*c**2*(c - 6)
Determine a so that a**4/3 - 20*a**3/3 - 73*a**2/3 + 92*a/3 = 0.
-4, 0, 1, 23
Determine f so that -2*f**3/5 + 18*f**2/5 + 68*f/5 + 48/5 = 0.
-2, -1, 12
Determine y, given that 3*y**5/7 + 6*y**4 + 72*y**3/7 = 0.
-12, -2, 0
Suppose w**5/4 + 5*w**4/4 - 13*w**3/4 + 7*w**2/4 = 0. What is w?
-7, 0, 1
Factor b**5 - 30*b**4 + 225*b**3.
b**3*(b - 15)**2
Factor -5*m**5 + 40*m**4 + 210*m**3 + 340*m**2 + 235*m + 60.
-5*(m - 12)*(m + 1)**4
Factor 15*q**3 - 25*q**2 - 10*q.
5*q*(q - 2)*(3*q + 1)
Factor 4*u**3 + 556*u**2 - 560*u.
4*u*(u - 1)*(u + 140)
Find d, given that -2*d**4/9 - 182*d**3/9 + 62*d**2/3 + 182*d/9 - 184/9 = 0.
-92, -1, 1
Factor 2*s**2/3 - 172*s/3 + 1062.
2*(s - 59)*(s - 27)/3
What is p in 3*p**4/7 + 15*p**3/7 - 3*p**2/7 - 15*p/7 = 0?
-5, -1, 0, 1
Find t, given that -2*t**2 + 2 = 0.
-1, 1
Factor -4*y**3/3 + 36*y**2 + 160*y + 496/3.
-4*(y - 31)*(y + 2)**2/3
Factor 2*z**3 - 446*z**2/9 - 568*z/9 - 104/9.
2*(z - 26)*(z + 1)*(9*z + 2)/9
What is g in 4*g**4 + 92*g**3 - 4*g**2 - 92*g = 0?
-23, -1, 0, 1
Find m, given that -3*m**4/2 - 54*m**3 - 1089*m**2/2 - 1416*m + 2016 = 0.
-21, -8, 1
Factor 2*m**4 - 4*m**3 - 2*m**2 + 4*m.
2*m*(m - 2)*(m - 1)*(m + 1)
Let -2*j**2/13 - 34*j/13 - 8 = 0. What is j?
-13, -4
Solve 15*s**5 + 54*s**4 - 204*s**3 + 72*s**2 = 0 for s.
-6, 0, 2/5, 2
Factor -3*d**3/5 + 192*d**2/5.
-3*d**2*(d - 64)/5
Factor -2*j**3 - 88*j**2 - 326*j - 240.
-2*(j + 1)*(j + 3)*(j + 40)
Factor x**5/2 + 2*x**4 + 5*x**3/2 + x**2.
x**2*(x + 1)**2*(x + 2)/2
Factor -4*z**2/3 - 28*z/3 - 16.
-4*(z + 3)*(z + 4)/3
Su