*2 - 35840*c + 16384 = 0. What is c?
1, 16
Find i such that 108*i**4 - 552*i**3 + 700*i**2 - 32*i - 48 = 0.
-2/9, 1/3, 2, 3
Factor -d**3 - 14*d**2 + 31*d - 16.
-(d - 1)**2*(d + 16)
Factor -o**4 + 8*o**3 - 6*o**2 - 8*o + 7.
-(o - 7)*(o - 1)**2*(o + 1)
Factor -2*j**3/3 - 7*j**2/3 - 7*j/3 - 2/3.
-(j + 1)*(j + 2)*(2*j + 1)/3
Find x, given that 5*x**4 - 15*x**3 - 5*x**2 + 15*x = 0.
-1, 0, 1, 3
Suppose -k**3 + 4*k**2 - k - 6 = 0. Calculate k.
-1, 2, 3
Suppose 2*l**2/7 - 2*l - 120/7 = 0. Calculate l.
-5, 12
Factor 66*o**2 + 136*o + 8.
2*(o + 2)*(33*o + 2)
Factor -21*t**3 - 6*t**2 + 21*t + 6.
-3*(t - 1)*(t + 1)*(7*t + 2)
Factor u**3 - 31*u - 30.
(u - 6)*(u + 1)*(u + 5)
Suppose -44*u**3/5 + 18*u**2/5 + 24*u/5 + 2/5 = 0. Calculate u.
-1/2, -1/11, 1
Factor -p**3/2 + 12*p**2 + 31*p/2 - 75.
-(p - 25)*(p - 2)*(p + 3)/2
Factor 2*a**3 - 30*a**2 + 142*a - 210.
2*(a - 7)*(a - 5)*(a - 3)
Let -3*m**5/4 + 33*m**4 - 63*m**3 = 0. What is m?
0, 2, 42
Factor p**5/5 - 18*p**4/5 - 12*p**3 - 62*p**2/5 - 21*p/5.
p*(p - 21)*(p + 1)**3/5
Suppose 2*b**2/7 + 332*b/7 + 13778/7 = 0. What is b?
-83
Factor -2*t**5 + 12*t**4 - 22*t**3 + 4*t**2 + 24*t - 16.
-2*(t - 2)**3*(t - 1)*(t + 1)
Factor -4*c**3 + 49*c**2 - 12*c.
-c*(c - 12)*(4*c - 1)
Factor 33*b**2 - 180*b - 108.
3*(b - 6)*(11*b + 6)
Solve -r**2/4 - 8*r - 64 = 0 for r.
-16
Factor t**4 + 13*t**3 + 32*t**2 + 20*t.
t*(t + 1)*(t + 2)*(t + 10)
Factor 5*x**2 - 615*x.
5*x*(x - 123)
Factor -5*s**4/3 + 65*s**3 - 665*s**2 + 1805*s/3.
-5*s*(s - 19)**2*(s - 1)/3
What is y in 5*y**3 - 95*y**2 + 540*y - 900 = 0?
3, 6, 10
Find j such that j**5/2 - 8*j**4 - j**3 + 16*j**2 + j/2 - 8 = 0.
-1, 1, 16
Let 4*l**5 + 8*l**4 - 52*l**3 - 56*l**2 + 96*l = 0. What is l?
-4, -2, 0, 1, 3
Find n such that -2*n**4/9 + 38*n**3/9 - 22*n**2/3 - 38*n/9 + 68/9 = 0.
-1, 1, 2, 17
Factor p**2/3 - 40*p + 1200.
(p - 60)**2/3
Factor -5*q**2 - 170*q - 320.
-5*(q + 2)*(q + 32)
Factor -5*q**3 - 610*q**2 + 1875*q.
-5*q*(q - 3)*(q + 125)
Let -12696*m**5 - 37812*m**4 + 1653*m**3/2 - 9*m**2/2 = 0. Calculate m.
-3, 0, 1/92
Let -2*b**3/15 - 2*b**2/3 - 4*b/5 = 0. What is b?
-3, -2, 0
Factor g**4/5 - 4*g**3/5.
g**3*(g - 4)/5
What is l in -45*l**5 + 710*l**4 + 1150*l**3 - 3740*l**2 + 1415*l + 510 = 0?
-3, -2/9, 1, 17
Factor 3*n**2/2 + 201*n - 405/2.
3*(n - 1)*(n + 135)/2
Determine o, given that o**4/2 - 21*o**3/2 + 97*o**2/2 + 165*o/2 - 121 = 0.
-2, 1, 11
Solve -13*y**3 + 74*y**2/3 - 31*y/3 - 4/3 = 0 for y.
-4/39, 1
Factor -4*b**2 - 124*b - 232.
-4*(b + 2)*(b + 29)
Solve -3*t**4 + 35*t**3 - 22*t**2 = 0.
0, 2/3, 11
Factor -3*m**5 - 123*m**4 + 135*m**3 + 363*m**2 - 624*m + 252.
-3*(m - 1)**3*(m + 2)*(m + 42)
Factor -3*d**4 + 5*d**3 - d**2 - d.
-d*(d - 1)**2*(3*d + 1)
Factor -5*l**4 - 85*l**3.
-5*l**3*(l + 17)
Factor 4*b**4 + 1076*b**3 + 71812*b**2 - 75060*b - 145800.
4*(b - 2)*(b + 1)*(b + 135)**2
Factor -2*c**2 + 186*c + 188.
-2*(c - 94)*(c + 1)
Factor i**2/8 + 35*i/4 - 172.
(i - 16)*(i + 86)/8
Factor -2*t**4/7 - 4*t**3/7 + 16*t**2/7.
-2*t**2*(t - 2)*(t + 4)/7
Determine p, given that -3*p**2 + 87*p - 84 = 0.
1, 28
Factor -3*r**4 - 12*r**3 + 3*r**2 + 12*r.
-3*r*(r - 1)*(r + 1)*(r + 4)
Find v such that 2*v**4/9 - 10*v**3/9 + 4*v**2/3 + 8*v/9 - 16/9 = 0.
-1, 2
Let -v**3 - 18*v**2 = 0. What is v?
-18, 0
Find l, given that 128*l**4 - 2032*l**3 + 3324*l**2 + 512*l - 112 = 0.
-1/4, 1/8, 2, 14
Factor -4*o**4 + 37*o**3 - 81*o**2 + 18*o.
-o*(o - 6)*(o - 3)*(4*o - 1)
Let -4*i**2/9 + 184*i/9 = 0. Calculate i.
0, 46
Factor 3*f**4 + 3*f**3 - 12*f**2 - 12*f.
3*f*(f - 2)*(f + 1)*(f + 2)
Find k, given that 20*k**5 - 16*k**4 - 4*k**3 = 0.
-1/5, 0, 1
Find o, given that -4*o**3 + 4*o**2 = 0.
0, 1
Factor -3*u**2 - 27*u + 108.
-3*(u - 3)*(u + 12)
What is w in -3*w**5 + 24*w**4 + 39*w**3 - 96*w**2 - 108*w = 0?
-2, -1, 0, 2, 9
What is n in 10*n**5/11 + 4*n**4/11 - 120*n**3/11 - 208*n**2/11 - 64*n/11 = 0?
-2, -2/5, 0, 4
Suppose v**3 - v**2 - 2*v = 0. What is v?
-1, 0, 2
Let -98*k**5/11 - 1120*k**4/11 - 1590*k**3/11 + 4720*k**2/11 - 200*k + 288/11 = 0. What is k?
-9, -4, 2/7, 1
Factor -z**3/5 + 109*z**2/5 - 423*z/5 + 63.
-(z - 105)*(z - 3)*(z - 1)/5
Factor -n**3/4 + 7*n**2/2 - 7*n - 30.
-(n - 10)*(n - 6)*(n + 2)/4
Factor 2*i**3/13 + 2*i**2 + 80*i/13 + 72/13.
2*(i + 2)**2*(i + 9)/13
Find w such that -w**5 + 4*w**4 + 60*w**3 + 22*w**2 - 235*w + 150 = 0.
-5, -3, 1, 10
Factor -2*r**5/11 - 300*r**4/11 - 18000*r**3/11 - 540000*r**2/11 - 8100000*r/11 - 48600000/11.
-2*(r + 30)**5/11
Let -2*y**2/13 + 6*y/13 + 108/13 = 0. What is y?
-6, 9
Factor 2*o**2/11 - 210*o/11 - 212/11.
2*(o - 106)*(o + 1)/11
Solve -3*w**2 + 2676*w - 596748 = 0 for w.
446
Determine i, given that -44*i**4 - 60*i**3 + 612*i**2 - 868*i + 360 = 0.
-5, 1, 18/11
Factor 3*n**3 + 30*n**2 - 33*n.
3*n*(n - 1)*(n + 11)
What is z in 4*z**4/3 - 28*z**3/3 + 20*z**2/3 + 28*z/3 - 8 = 0?
-1, 1, 6
Solve 4*f**3/5 + 148*f**2 - 744*f/5 = 0 for f.
-186, 0, 1
Solve 3*x**2 - 1206*x - 1209 = 0 for x.
-1, 403
Determine u so that -u**3/3 - u**2 - u - 1/3 = 0.
-1
Let 5*c**2 - 44*c - 444 = 0. Calculate c.
-6, 74/5
What is c in -2*c**2 - 252*c - 7938 = 0?
-63
Factor n**3/2 + 11*n**2/2 - 25*n/2 + 13/2.
(n - 1)**2*(n + 13)/2
Factor 2*r**2/21 - 218*r/21 + 72/7.
2*(r - 108)*(r - 1)/21
Factor 2*x**2/9 - 500*x/3 + 31250.
2*(x - 375)**2/9
Let 2*q**5 - 136*q**4 + 522*q**3 - 644*q**2 + 256*q = 0. What is q?
0, 1, 2, 64
Factor -21*h**3 - 797*h**2 - 744*h - 148.
-(h + 37)*(3*h + 2)*(7*h + 2)
Determine s, given that -3*s**2 + 216*s/5 - 84/5 = 0.
2/5, 14
Factor -2*q**2/9 - 2*q/3 + 260/9.
-2*(q - 10)*(q + 13)/9
Determine y, given that y**5/3 - 7*y**4/2 + 37*y**3/6 + 16*y**2/3 - 10*y - 16/3 = 0.
-1, -1/2, 2, 8
Let 2*w**3/5 - 6*w**2 + 16*w/5 + 168/5 = 0. Calculate w.
-2, 3, 14
Solve -3*l**5/5 - 18*l**4/5 - 12*l**3/5 + 72*l**2/5 + 96*l/5 = 0.
-4, -2, 0, 2
Factor -5*o**4 - 135*o**3 + 2160*o**2 - 6860*o + 6240.
-5*(o - 8)*(o - 2)**2*(o + 39)
Factor -y**4/2 - 25*y**3/2 + 13*y**2.
-y**2*(y - 1)*(y + 26)/2
Suppose -u**3/3 + u**2/3 + 2*u/3 = 0. Calculate u.
-1, 0, 2
Factor l**2/2 + 577*l/2 + 288.
(l + 1)*(l + 576)/2
Find v such that -2*v**4 + 396*v**3 - 394*v**2 = 0.
0, 1, 197
Factor -s**2/7 + 5*s + 36/7.
-(s - 36)*(s + 1)/7
Find g such that 165*g**4 - 2465*g**3 + 12225*g**2 - 19875*g - 1250 = 0.
-2/33, 5
Solve -3*n**5 - 45*n**4 - 228*n**3 - 468*n**2 - 336*n = 0 for n.
-7, -4, -2, 0
Factor w**5/2 + w**4/2 - 33*w**3/2 + 63*w**2/2.
w**2*(w - 3)**2*(w + 7)/2
Factor 2*s**2 + 224*s + 6272.
2*(s + 56)**2
Solve 12*g**5 + 115*g**4 + 388*g**3 + 522*g**2 + 216*g + 27 = 0 for g.
-3, -1/3, -1/4
Factor -6*f**4 + 9*f**3 + 405*f**2 + 1539*f + 1701.
-3*(f + 3)**3*(2*f - 21)
Factor 2*v**2/5 + 3624*v/5 + 1641672/5.
2*(v + 906)**2/5
Determine t, given that 2*t**3/3 + 16*t**2/3 + 34*t/3 + 20/3 = 0.
-5, -2, -1
What is z in -2*z**5/11 + 8*z**4/11 - 4*z**3/11 - 8*z**2/11 + 6*z/11 = 0?
-1, 0, 1, 3
Suppose 3*h**4 - 30*h**3 + 45*h**2 + 30*h - 48 = 0. What is h?
-1, 1, 2, 8
Factor -2*c**2 + 118*c - 116.
-2*(c - 58)*(c - 1)
Factor -3*h**4/5 + 33*h**3 - 540*h**2 + 1200*h + 24000.
-3*(h - 20)**3*(h + 5)/5
Factor 2*f**4/5 + 36*f**3/5 - 2*f**2/5 - 36*f/5.
2*f*(f - 1)*(f + 1)*(f + 18)/5
Determine d, given that 2*d**2 + 142*d + 660 = 0.
-66, -5
Factor -4*b**2 + 98*b + 50.
-2*(b - 25)*(2*b + 1)
Suppose c**2/6 + 505*c/3 + 255025/6 = 0. What is c?
-505
Let -4*u**4/5 + 102*u**3/5 - 498*u**2/5 - 2128*u/5 + 1176/5 = 0. Calculate u.
-3, 1/2, 14
Factor 24334*i**4/5 - 130663*i**3/5 + 241362*i**2/5 - 188276*i/5 + 10648.
(2*i - 5)*(23*i - 22)**3/5
Determine p so that 2*p**3/7 + 1224*p**2/7 - 2454*p/7 + 1228/7 = 0.
-614, 1
Suppose 5*s**4 - 390*s**3 + 9900*s**2 - 78010*s - 88305 = 0. Calculate s.
-1, 21, 29
Factor 5*l**2/2 + 560*l + 31360.
5*(l + 112)**2/2
Suppose 3*j**2 + 156*j + 945 = 0. Calculate j.
-45, -7
Factor -3*f**4 - 15*f**3 - 27*f**2 - 21*f - 6.
-3*(f + 1)**3*(f + 2)
Factor 4312*i**3 + 560*i**2 - 146*i + 6.
2*(11*i + 3)*(14*i - 1)**2
Solve -f**5/3 + 7*f**4/3 - 5*f**3/3 - 7*f**2/3 + 2*f = 0.
-1, 0, 1, 6
Determine z so that -z**2 + 93*z - 182 = 0.
2, 91
Solve -3*l**2 + 96*l - 468 = 0.
6, 26
Solve -c**5 - 178*c**4 + 907*c**3 - 1460*c**2 + 732*c = 0 for c.
-183, 0, 1, 2
Factor 48*s**2 - 1246*s - 52.
2*(s - 26)*(24*s + 1)
Factor -2*p**2/5 + 288*p/5 - 846/5.
-2*(p - 141)*(p - 3)/5
Find w, given that -w**3 - 5*w**2 + 17*w + 21 = 0