se -l**3/11 + 19*l**2/11 - 90*l/11 = 0. Calculate l.
0, 9, 10
Factor b**2 - 8*b - 20.
(b - 10)*(b + 2)
Solve 6*u**4/7 - 443*u**3/7 - 79*u**2/7 + 368*u/7 + 148/7 = 0.
-2/3, -1/2, 1, 74
Determine l so that 2*l**5/19 - 4*l**4/19 - 18*l**3/19 + 36*l**2/19 = 0.
-3, 0, 2, 3
Find j such that 2*j**2 - 31860*j + 126882450 = 0.
7965
What is s in -5*s**3/2 - 131*s**2/2 + 279*s - 180 = 0?
-30, 4/5, 3
Factor 70*g**3/19 + 416*g**2/19 - 24*g/19.
2*g*(g + 6)*(35*g - 2)/19
Determine m so that -4*m**3/3 + 53*m**2/3 + 43*m/3 - 14/3 = 0.
-1, 1/4, 14
Suppose 22*o**3/5 - 92*o**2/5 + 82*o/5 - 12/5 = 0. Calculate o.
2/11, 1, 3
Let -g**3/8 + 75*g**2/8 - 225*g + 3375/2 = 0. What is g?
15, 30
Solve -4*m**2 - 5020*m + 10056 = 0 for m.
-1257, 2
What is h in -4*h**2/7 - 120*h/7 - 416/7 = 0?
-26, -4
Determine b, given that -6*b**3 + 47*b**2 - 64*b - 12 = 0.
-1/6, 2, 6
Suppose 3*d**4 + 120*d**3 + 786*d**2 - 8280*d + 14283 = 0. Calculate d.
-23, 3
What is c in 4*c**2 + 136*c + 256 = 0?
-32, -2
Factor -3*l**4/5 - 18*l**3/5 - 39*l**2/5 - 36*l/5 - 12/5.
-3*(l + 1)**2*(l + 2)**2/5
Factor o**5/10 - 141*o**4/10 + 3238*o**3/5 - 8928*o**2 - 179712*o/5 + 221184/5.
(o - 48)**3*(o - 1)*(o + 4)/10
Factor 3*i**3 + 57*i**2 + 357*i + 735.
3*(i + 5)*(i + 7)**2
Solve -4*a**2 - 206*a - 102 = 0.
-51, -1/2
Solve 2*c**3 + 48*c**2 - 890*c - 936 = 0.
-36, -1, 13
Determine w so that 3*w**4 + 510*w**3 + 24519*w**2 + 241740*w + 674028 = 0.
-79, -6
Factor -i**3/4 + 7*i**2 - 35*i + 44.
-(i - 22)*(i - 4)*(i - 2)/4
Factor 3*x**4 - 11424*x**3 + 22839*x**2 - 11418*x.
3*x*(x - 3806)*(x - 1)**2
Suppose 7*p**5 - 43*p**4 + 97*p**3 - 97*p**2 + 40*p - 4 = 0. Calculate p.
1/7, 1, 2
Factor -3*t**3/2 + 6*t.
-3*t*(t - 2)*(t + 2)/2
Solve -f**2 + 12*f + 108 = 0.
-6, 18
What is c in -171698*c**2/11 + 2344*c/11 - 8/11 = 0?
2/293
Factor -3*j**3 + 408*j**2 - 9471*j - 320166.
-3*(j - 77)**2*(j + 18)
Let 2*l**2/7 + 292*l/7 = 0. What is l?
-146, 0
Factor 50*w**2/9 - 4*w/3.
2*w*(25*w - 6)/9
Determine m so that 6*m**2 - 26*m - 112 = 0.
-8/3, 7
Factor -v**3 + 5*v**2 - 4*v.
-v*(v - 4)*(v - 1)
What is h in h**3/3 - 13*h**2/3 + 10*h = 0?
0, 3, 10
Factor x**4/4 - 9*x**3/4 + 7*x**2/4 + 9*x/4 - 2.
(x - 8)*(x - 1)**2*(x + 1)/4
Determine i so that 3*i**5/7 + 69*i**4/7 + 177*i**3/7 - 2661*i**2/7 + 360*i + 756 = 0.
-14, -1, 3
Determine a so that 2*a**4/13 + 40*a**3/13 + 74*a**2/13 + 36*a/13 = 0.
-18, -1, 0
Factor 3*p**2 + 63*p - 216.
3*(p - 3)*(p + 24)
Factor -2*g**2/7 - 356*g/7 - 15842/7.
-2*(g + 89)**2/7
Factor 3*g**5/4 + 27*g**4/4 - 126*g**3 - 1776*g**2 - 5760*g.
3*g*(g - 15)*(g + 8)**3/4
Solve -i**2/4 - 4407*i/2 - 19421649/4 = 0.
-4407
Find d such that 2*d**2/5 + 8*d/5 + 8/5 = 0.
-2
Factor -4*o**5 + 132*o**4 - 488*o**3 + 712*o**2 - 468*o + 116.
-4*(o - 29)*(o - 1)**4
Factor -399*i**2/2 - 50*i + 2.
-(7*i + 2)*(57*i - 2)/2
Find c, given that 2*c**5/5 + 58*c**4/5 - 186*c**3/5 + 38*c**2 - 64*c/5 = 0.
-32, 0, 1
Factor -g**4 + 6*g**2 + 8*g + 3.
-(g - 3)*(g + 1)**3
Factor -5*v**3 + 5040*v**2 - 1280100*v + 5040080.
-5*(v - 502)**2*(v - 4)
Suppose 3*o**3 - 477*o**2 - 12*o + 1908 = 0. Calculate o.
-2, 2, 159
Factor j**3/4 - 5*j**2/4 + 3*j/2.
j*(j - 3)*(j - 2)/4
Factor -6*i**5 + 20*i**4 + 16*i**3.
-2*i**3*(i - 4)*(3*i + 2)
What is r in r**3 + 6*r**2 + 9*r = 0?
-3, 0
Factor 9*o**2/7 - 24*o/7.
3*o*(3*o - 8)/7
Factor z**3/7 + 46*z**2/7 + 43*z/7 - 90/7.
(z - 1)*(z + 2)*(z + 45)/7
Suppose 3*v**5 + 6*v**4 - 78*v**3 + 168*v**2 - 141*v + 42 = 0. What is v?
-7, 1, 2
Solve 35*v**5 - 270*v**4 - 745*v**3 - 540*v**2 - 100*v = 0.
-1, -2/7, 0, 10
Factor 4*s**4 - 172*s**3 + 612*s**2 + 540*s - 2808.
4*(s - 39)*(s - 3)**2*(s + 2)
Solve -4*p**4/3 + 128*p**3/3 = 0.
0, 32
Solve -5*z**5/6 - 25*z**4/2 - 125*z**3/2 - 625*z**2/6 = 0 for z.
-5, 0
Factor -4*q**2/5 - 624*q/5 - 24336/5.
-4*(q + 78)**2/5
Determine k, given that 48*k**5 + 28*k**4 - 140*k**3 + 12*k**2 + 44*k + 8 = 0.
-2, -1/3, -1/4, 1
Solve 4*o**2/3 - 27*o - 21 = 0 for o.
-3/4, 21
Determine a so that -a**2/6 + 1120*a/3 - 627200/3 = 0.
1120
Suppose -4*j**5/5 + 136*j**4/5 - 1056*j**3/5 + 2392*j**2/5 - 428*j + 672/5 = 0. Calculate j.
1, 7, 24
Factor 2*k**5 - 40*k**4 + 74*k**3 - 36*k**2.
2*k**2*(k - 18)*(k - 1)**2
Determine l, given that -l**2/4 + 16 = 0.
-8, 8
Factor 2*t**3/19 - 6*t**2/19 + 4*t/19.
2*t*(t - 2)*(t - 1)/19
Solve 18*m**4/5 - 106*m**3/5 - 282*m**2/5 - 174*m/5 - 16/5 = 0.
-1, -1/9, 8
Determine g, given that -g**4 - 3*g**3 - g**2 + 3*g + 2 = 0.
-2, -1, 1
Factor j**3/7 + 26*j**2/7 - 1056*j/7 + 7200/7.
(j - 12)**2*(j + 50)/7
Factor -3*s**3/2 - 6*s**2 - 3*s/2 + 9.
-3*(s - 1)*(s + 2)*(s + 3)/2
Let 4*f**4 - 32*f**2 + 64 = 0. What is f?
-2, 2
Let c**5/2 + c**4/2 - c**3/2 - c**2/2 = 0. Calculate c.
-1, 0, 1
Find t such that -t**3 + 14*t**2 - 53*t + 40 = 0.
1, 5, 8
Factor 4*y**3 - 24*y**2 + 36*y.
4*y*(y - 3)**2
Factor 3*b**4 - 135*b**3 - 138*b**2.
3*b**2*(b - 46)*(b + 1)
Solve -4*l**4 + 164*l**3 + 36*l**2 - 1476*l = 0.
-3, 0, 3, 41
Factor -2*n**3 + 20*n**2 - 54*n + 36.
-2*(n - 6)*(n - 3)*(n - 1)
Let -b**3 - 29*b**2 - 216*b - 324 = 0. Calculate b.
-18, -9, -2
Factor r**4/3 + 313*r**3/3 + 1515*r**2 + 22475*r/3 + 37250/3.
(r + 5)**3*(r + 298)/3
Determine s so that -3*s**4 - 43*s**3 + 574*s**2 + 8428*s + 2744 = 0.
-14, -1/3, 14
Factor l**3/5 - 8*l**2/5 + 16*l/5.
l*(l - 4)**2/5
Factor -o**4/6 + o**3/3 + o**2/2.
-o**2*(o - 3)*(o + 1)/6
Determine z, given that 10*z**4/13 + 142*z**3/13 + 600*z**2/13 + 544*z/13 - 896/13 = 0.
-7, -4, 4/5
Factor 2*y**4/9 + 136*y**3/9 + 44*y**2 + 392*y/9 + 130/9.
2*(y + 1)**3*(y + 65)/9
Suppose -3*m**2 + 138*m + 141 = 0. Calculate m.
-1, 47
Factor 2*d**3/7 + 30*d**2/7 + 52*d/7.
2*d*(d + 2)*(d + 13)/7
Factor -2*g**4/3 + 10*g**3/9 - 4*g**2/9.
-2*g**2*(g - 1)*(3*g - 2)/9
Factor -2*w**3 + 58*w**2 + 256*w + 264.
-2*(w - 33)*(w + 2)**2
Factor -v**3/8 - 11*v**2/4 - 35*v/2 - 25.
-(v + 2)*(v + 10)**2/8
Suppose -2*i**5 + 18*i**4 - 46*i**3 + 22*i**2 + 48*i - 40 = 0. What is i?
-1, 1, 2, 5
Let -125*h**5 + 525*h**4 - 760*h**3 + 488*h**2 - 144*h + 16 = 0. What is h?
2/5, 1, 2
Let 5*p**3 - 5*p**2 = 0. What is p?
0, 1
Factor 3*g**4 + 60*g**3 - 279*g**2 + 216*g.
3*g*(g - 3)*(g - 1)*(g + 24)
Factor -l**4/5 - 19*l**3/5 - 48*l**2/5 + 4*l/5 + 64/5.
-(l - 1)*(l + 2)**2*(l + 16)/5
Let 15*h**4 - 24*h**3 - 12*h**2 = 0. What is h?
-2/5, 0, 2
Factor -5*x**5 - 1115*x**4 - 6510*x**3.
-5*x**3*(x + 6)*(x + 217)
Factor -3*x**4 - 10*x**3 - 4*x**2 + 8*x.
-x*(x + 2)**2*(3*x - 2)
Determine c, given that -c**4/4 - 19*c**3/4 - 57*c**2/2 - 56*c - 32 = 0.
-8, -2, -1
Let 4*g**5 - 24*g**4 + 4*g**3 + 192*g**2 - 368*g + 192 = 0. What is g?
-3, 1, 2, 4
Solve 4*k**4 + 44*k**3 - 224*k**2 + 240*k = 0.
-15, 0, 2
Factor -j**2/3 - 100*j/3 - 33.
-(j + 1)*(j + 99)/3
Let -16*n**4 - 204*n**3 - 912*n**2 - 1600*n - 768 = 0. Calculate n.
-4, -3/4
Factor -2*p**2/5 + 946*p/5.
-2*p*(p - 473)/5
Factor -2*r**2/3 - 22*r/3 + 120.
-2*(r - 9)*(r + 20)/3
Determine w so that w**4 + 41*w**3/2 + 63*w**2 + 121*w/2 + 17 = 0.
-17, -2, -1, -1/2
Solve 2*u**4/9 + 40*u**3/9 + 74*u**2/9 + 4*u = 0 for u.
-18, -1, 0
Factor -2*d**3/3 - 58*d**2/3 - 36*d.
-2*d*(d + 2)*(d + 27)/3
Let 2*x**5/5 + 16*x**4/5 - 22*x**3 - 148*x**2/5 + 48*x = 0. Calculate x.
-12, -2, 0, 1, 5
Factor -2*c**4/3 - 110*c**3/3 - 36*c**2.
-2*c**2*(c + 1)*(c + 54)/3
What is w in -2*w**3/7 - 120*w**2/7 - 2346*w/7 - 2116 = 0?
-23, -14
Factor -2*p**3/3 + 50*p**2/3 - 94*p/3 + 46/3.
-2*(p - 23)*(p - 1)**2/3
Solve 5*b**5 + 305*b**4 - 1605*b**3 + 2935*b**2 - 2300*b + 660 = 0 for b.
-66, 1, 2
Factor 2*u**5 - 6*u**4 - 12*u**3 + 20*u**2 + 42*u + 18.
2*(u - 3)**2*(u + 1)**3
Factor u**3 - 16*u**2 - 77*u - 60.
(u - 20)*(u + 1)*(u + 3)
Let -3*r**2 - 1254*r - 131043 = 0. What is r?
-209
Factor 5*g**5 + 30*g**4 + 65*g**3 + 60*g**2 + 20*g.
5*g*(g + 1)**2*(g + 2)**2
Factor p**3/2 + 80*p**2 + 3034*p - 13448.
(p - 4)*(p + 82)**2/2
Factor k**5/4 + 7*k**4/4 - k**3/2 - 23*k**2/2 + 65*k/4 - 25/4.
(k - 1)**3*(k + 5)**2/4
Determine r so that 2*r**3/13 - 488*r**2/13 - 2*r/13 + 488/13 = 0.
-1, 1, 244
Factor 4*l**2 - 170*l + 876.
2*(l - 6)*(2*l - 73)
Let 2*m**3 - 6*m**2 - 72*m - 64 = 0. Calculate m.
-4, -1, 8
Factor j**5/6 + j**4/2 + j**3/6 - j**2/2 - j/3.
j*(j - 1)*(j + 1)**2*(j + 2)/6
Factor 2*a**3/3 + 4*a**2/3 - 2*a/3 - 4/3.
2*(a - 1)*(a + 1)*(a + 2)/3
Find q such that -q**4 + 7*q**3 - 15*q**2 + 9*q = 0.
0, 1, 3
Find j, giv