-2*a**4 + 12*a**3 - 18*a**2.
-2*a**2*(a - 3)**2
Suppose -5*g**4 + 60*g**3 + 670*g**2 - 60*g - 665 = 0. Calculate g.
-7, -1, 1, 19
Factor -5*z**3/3 + 325*z**2/3 - 1120*z + 3180.
-5*(z - 53)*(z - 6)**2/3
Find v such that 3*v**5 - 12*v**4 + 3*v**3 + 18*v**2 = 0.
-1, 0, 2, 3
Find h, given that 3*h**3/5 - 258*h**2/5 + 1659*h/5 = 0.
0, 7, 79
Factor -2*v**2/5 + 2/5.
-2*(v - 1)*(v + 1)/5
Factor u**5 + 3*u**4 - 22*u**3 + 38*u**2 - 27*u + 7.
(u - 1)**4*(u + 7)
Determine p, given that 2*p**5/17 - 36*p**4/17 + 216*p**3/17 - 460*p**2/17 + 6*p/17 + 720/17 = 0.
-1, 3, 5, 8
Determine u, given that -2*u**4 - 100*u**3 - 1248*u**2 + 100*u + 1250 = 0.
-25, -1, 1
Factor 135*v**3 - 327*v**2 - 366*v + 96.
3*(v + 1)*(5*v - 16)*(9*v - 2)
Factor s**2/4 - 5*s/2 - 39/4.
(s - 13)*(s + 3)/4
Factor -124*w**2/3 + 42*w - 2/3.
-2*(w - 1)*(62*w - 1)/3
Factor -i**4/5 + 6*i**3/5 + 27*i**2/5 - 108*i/5 - 324/5.
-(i - 6)**2*(i + 3)**2/5
Factor -3*s**3/8 + 123*s**2/8 - 210*s + 1911/2.
-3*(s - 14)**2*(s - 13)/8
Factor 5*n**5 - 30*n**4 - 245*n**3 - 350*n**2 + 180*n + 440.
5*(n - 11)*(n - 1)*(n + 2)**3
Determine v, given that 2*v**4/7 + 13*v**3/7 + 4*v**2 + 23*v/7 + 6/7 = 0.
-3, -2, -1, -1/2
Let 3*k**4 + 342*k**3 + 2595*k**2 + 5436*k + 3180 = 0. What is k?
-106, -5, -2, -1
Determine d, given that -2*d**5/5 - 18*d**4/5 - 34*d**3/5 + 66*d**2/5 + 36*d = 0.
-5, -3, 0, 2
Factor -5*q**2/3 - 80*q/3 - 65.
-5*(q + 3)*(q + 13)/3
Solve 2*o**4/9 + 14*o**3/9 + 2*o**2/3 - 62*o/9 + 40/9 = 0 for o.
-5, -4, 1
Factor -4*r**5 + 40*r**4 - 36*r**3.
-4*r**3*(r - 9)*(r - 1)
Factor -5*d**3 - 21855*d**2 - 31842735*d - 15464954965.
-5*(d + 1457)**3
Suppose -l**5/3 + l**3 - 2*l**2/3 = 0. What is l?
-2, 0, 1
Find s such that -5*s**3 - 50*s**2 + 345*s - 450 = 0.
-15, 2, 3
Let 2*t**5 + 8*t**4 - 16*t**3 - 28*t**2 + 14*t + 20 = 0. Calculate t.
-5, -1, 1, 2
What is c in -3*c**3 - 69*c**2 - 282*c - 216 = 0?
-18, -4, -1
Solve -2*q**2 + 3898*q + 7804 = 0 for q.
-2, 1951
Factor -r**4 - 188*r**3 - 373*r**2 - 186*r.
-r*(r + 1)**2*(r + 186)
Factor -s**4 + 30*s**3 + 63*s**2 + 32*s.
-s*(s - 32)*(s + 1)**2
Factor -b**2/3 - 113*b/3 + 968/3.
-(b - 8)*(b + 121)/3
Determine f so that -18*f**5/13 - 256*f**4/13 - 686*f**3/13 - 536*f**2/13 - 88*f/13 = 0.
-11, -2, -1, -2/9, 0
Solve -50*p**2/13 - 8240*p/13 - 339488/13 = 0 for p.
-412/5
Factor 3*b**4/7 - 36*b**3/7 + 9*b**2 - 30*b/7.
3*b*(b - 10)*(b - 1)**2/7
Find t such that -t**4/3 + 5*t**3/3 - 2*t**2/3 - 8*t/3 = 0.
-1, 0, 2, 4
Let 2*l**2 + 14*l = 0. What is l?
-7, 0
Factor -42*m**3/5 - 591*m**2/5 + 261*m/5.
-3*m*(2*m + 29)*(7*m - 3)/5
Solve 26*f**5 - 146*f**4/3 - 314*f**3 - 418*f**2 - 656*f/3 - 40 = 0 for f.
-1, -2/3, -6/13, 5
What is x in -x**4/3 + 2*x**3/3 + 12*x**2 + 88*x/3 + 64/3 = 0?
-2, 8
Determine a, given that -a**5 + 34*a**4 - 321*a**3 + 544*a**2 - 256*a = 0.
0, 1, 16
Factor -2*l**4/3 + 32*l**3/3 + 34*l**2/3.
-2*l**2*(l - 17)*(l + 1)/3
Factor o**2/10 + 2514*o/5 + 3160098/5.
(o + 2514)**2/10
Find u, given that -2*u**5/7 - 24*u**4/7 + 164*u**3/7 - 120*u**2/7 - 306*u/7 = 0.
-17, -1, 0, 3
Find s, given that 5*s**3/3 + 100*s**2/3 + 60*s = 0.
-18, -2, 0
Find r such that r**5/3 - 7*r**4 + 119*r**3/3 - 79*r**2/3 - 40*r + 100/3 = 0.
-1, 1, 10
Factor p**2 + 79*p + 568.
(p + 8)*(p + 71)
What is h in -3*h**5 - 24*h**4 - 18*h**3 + 120*h**2 - 75*h = 0?
-5, 0, 1
Factor -g**2 - 10*g - 16.
-(g + 2)*(g + 8)
Factor 2*m**4 + 28*m**3 + 98*m**2.
2*m**2*(m + 7)**2
Factor 5*t**3 - 115*t**2 + 215*t - 105.
5*(t - 21)*(t - 1)**2
Find r, given that r**5/4 - 27*r**4/4 + 89*r**3/4 + 439*r**2/4 + 249*r/2 + 44 = 0.
-1, 8, 22
Let -23*w**4/3 + 113*w**3/3 - 151*w**2/3 + 55*w/3 + 2 = 0. What is w?
-2/23, 1, 3
Solve v**3 - 16*v**2 + 49*v + 66 = 0.
-1, 6, 11
Find r, given that r**4 + 2*r**3 - 13*r**2 + 10*r = 0.
-5, 0, 1, 2
Factor -3*o**2/5 + 3*o.
-3*o*(o - 5)/5
Solve 5*k**4 + 3*k**3 - 27*k**2 + 25*k - 6 = 0.
-3, 2/5, 1
Suppose -3*i**4/2 + 840*i**3 + 7641*i**2 + 23004*i + 46089/2 = 0. Calculate i.
-3, 569
Determine y so that 4*y**2 + 12*y - 72 = 0.
-6, 3
Factor -245*t**3/2 + 2195*t**2/2 + 45*t.
-5*t*(t - 9)*(49*t + 2)/2
Factor f**2/4 + 3747*f/2 + 14040009/4.
(f + 3747)**2/4
Factor -k**4/6 + 7*k**3/3 - 6*k**2 + 17*k/3 - 11/6.
-(k - 11)*(k - 1)**3/6
Suppose -35*r**5 + 12660*r**4 + 41980*r**3 - 1710*r**2 - 41945*r - 10950 = 0. What is r?
-3, -1, -2/7, 1, 365
What is p in 3*p**5/11 - 26*p**4 + 7004*p**3/11 - 8930*p**2/11 + 2209*p/11 = 0?
0, 1/3, 1, 47
Factor 98*n**3/5 - 144984*n**2/5 - 82872*n/5 - 2368.
2*(n - 1480)*(7*n + 2)**2/5
Factor 4*p**3 + 196*p**2 + 192*p.
4*p*(p + 1)*(p + 48)
Factor -15*k**3/4 - 39*k**2/4 + 9*k/2.
-3*k*(k + 3)*(5*k - 2)/4
Factor 5*i**3 - 110*i**2 + 605*i.
5*i*(i - 11)**2
Suppose 3*n**5 + 45*n**4 + 15*n**3 - 2625*n**2 - 13230*n - 16464 = 0. Calculate n.
-7, -2, 8
Factor -2*x**3/3 - 22*x**2 + 296*x/3.
-2*x*(x - 4)*(x + 37)/3
Factor -4*j**5/5 - 52*j**4/5 - 232*j**3/5 - 424*j**2/5 - 68*j - 20.
-4*(j + 1)**3*(j + 5)**2/5
Suppose -4*n**3 + 132*n**2 - 864*n - 3888 = 0. Calculate n.
-3, 18
Determine g, given that -g**4/3 + 2*g**3 + g**2 - 20*g/3 + 4 = 0.
-2, 1, 6
Determine j so that -2*j**2 - 40*j - 72 = 0.
-18, -2
Determine b, given that -105*b**2/8 - 149*b/8 - 3/2 = 0.
-4/3, -3/35
Factor -2*y**2/17 - 56*y/17 + 58/17.
-2*(y - 1)*(y + 29)/17
What is f in -3*f**5 + 162*f**4 - 984*f**3 - 162*f**2 + 987*f = 0?
-1, 0, 1, 7, 47
Determine s so that -3*s**2 + 267*s + 1116 = 0.
-4, 93
Determine p so that -p**2 + 1286*p + 1287 = 0.
-1, 1287
Factor m**2 + 76*m - 77.
(m - 1)*(m + 77)
Factor -z**4/3 + z**3 - 2*z**2/3.
-z**2*(z - 2)*(z - 1)/3
Factor -a**2/3 - 2468*a - 4568268.
-(a + 3702)**2/3
Suppose -c**5/5 - c**4/5 + 6*c**3/5 - 2*c**2/5 - c + 3/5 = 0. What is c?
-3, -1, 1
Determine g so that 5*g**2 - 185*g + 180 = 0.
1, 36
Factor -2*x**3/9 + 172*x**2/9 + 178*x/3.
-2*x*(x - 89)*(x + 3)/9
Suppose -2*l**5/5 - 8*l**4/5 + 4*l**2 + 2*l/5 - 12/5 = 0. What is l?
-3, -2, -1, 1
Factor -9*k**3/7 + 29*k**2/7 + 30*k/7 - 8/7.
-(k - 4)*(k + 1)*(9*k - 2)/7
Factor o**3 - 14*o**2 - 32*o.
o*(o - 16)*(o + 2)
Determine p so that 20*p**3 - 2048*p**2 + 52836*p - 20808 = 0.
2/5, 51
Suppose n**3/3 - 127*n**2/3 + 251*n/3 - 125/3 = 0. Calculate n.
1, 125
Factor 20577*f**4/5 - 13357*f**3/5 + 570*f**2 - 252*f/5 + 8/5.
(3*f - 1)*(19*f - 2)**3/5
Solve -2*q**3 - 162*q**2 + 1842*q + 2002 = 0.
-91, -1, 11
Solve 5*z**5 - 55*z**3 - 90*z**2 - 40*z = 0.
-2, -1, 0, 4
Factor 3*b**4/4 - 81*b**3 + 477*b**2/2 - 237*b + 315/4.
3*(b - 105)*(b - 1)**3/4
Factor 4*f**4/7 - 456*f**3/7 - 460*f**2/7.
4*f**2*(f - 115)*(f + 1)/7
Let -2*a**2/3 - 11272*a/9 - 2504/3 = 0. What is a?
-1878, -2/3
Factor 4*n**3/5 - 84*n**2/5 + 16*n.
4*n*(n - 20)*(n - 1)/5
What is i in -4*i**4 - 104*i**3 + 340*i**2 - 232*i = 0?
-29, 0, 1, 2
Factor -2*w**3/5 + 4*w**2/5 - 2*w/5.
-2*w*(w - 1)**2/5
Let 17*y**3/2 + 133*y**2/4 + 31*y - 3 = 0. Calculate y.
-2, 3/34
Factor 4*a**3 + 88*a**2 - 29756*a + 798768.
4*(a - 43)**2*(a + 108)
Let 2*h**4/7 + 26*h**3/7 + 24*h**2/7 = 0. Calculate h.
-12, -1, 0
Let -2*a**5/11 - 52*a**4/11 + 54*a**3/11 = 0. What is a?
-27, 0, 1
Factor -v**3/4 + 19*v**2/4 + 22*v + 23.
-(v - 23)*(v + 2)**2/4
Let -k**5 + 89*k**4/4 - 577*k**3/4 + 415*k**2/2 + 125*k - 250 = 0. What is k?
-1, 5/4, 2, 10
Determine j so that 3*j**4 - 57*j**3 + 99*j**2 + 57*j - 102 = 0.
-1, 1, 2, 17
Determine q, given that -q**3/2 + 199*q/2 - 195 = 0.
-15, 2, 13
Factor -4*d**2/3 + 2188*d/3 - 2176.
-4*(d - 544)*(d - 3)/3
Factor x**3 - 6*x**2 + 12*x - 8.
(x - 2)**3
Factor a**2/3 + 71*a/3.
a*(a + 71)/3
Solve -5*r**3 + 45*r**2 + 1080*r + 3780 = 0 for r.
-6, 21
Factor 3*i**2 - 300*i + 7500.
3*(i - 50)**2
Factor a**3/5 - 321*a**2/5 - 2296*a/5.
a*(a - 328)*(a + 7)/5
Factor 2*h**2 + 8*h + 8.
2*(h + 2)**2
Suppose -u**4 - 77*u**3/3 - 550*u**2/3 - 224*u + 96 = 0. What is u?
-12, -2, 1/3
Factor 3*u**3 + 384*u**2 - 12*u - 1536.
3*(u - 2)*(u + 2)*(u + 128)
What is v in -2*v**4/7 + 2*v**2/7 = 0?
-1, 0, 1
Factor 5*m**2 - 585*m + 1150.
5*(m - 115)*(m - 2)
What is n in n**3/7 - 186*n**2/7 + 185*n/7 = 0?
0, 1, 185
Let -4*b**3 - 8*b**2 + 20*b + 24 = 0. Calculate b.
-3, -1, 2
Factor -x**2/2 - 9*x/10 + 1/5.
-(x + 2)*(5*x - 1)/10
Factor -2*z**2 + 3300*z - 1361250.
-2*(z - 825)**2
Solve 5*l**5 - 125*l**4/2 + 255*l**3 - 805*l**2/2 + 265*l - 60 = 0.
1/2, 1, 4, 6
Let 3*y**5 - 33*y**4 + 99*y**3 - 111*y**2 + 42*y = 0. Calcula