**4/4 - 1011*k**3/8 - 1281*k**2/4 - 519*k/8 + 513/4 = 0.
-2, -1, 1/2, 171
Factor u**2 - 51*u - 1330.
(u - 70)*(u + 19)
Solve 3288*c**2/5 + 237*c - 18/5 = 0.
-3/8, 2/137
Suppose -3*c**4 - 42*c**3 + 216*c**2 = 0. What is c?
-18, 0, 4
Solve -3*w**4/2 + 9*w**3 + 75*w**2/2 + 27*w = 0 for w.
-2, -1, 0, 9
Factor 9*c**2/4 + 141*c/2 + 93/4.
3*(c + 31)*(3*c + 1)/4
Factor -2*l**2/13 - 280*l/13 + 568/13.
-2*(l - 2)*(l + 142)/13
Determine u, given that 2*u**3/15 + 4748*u**2/3 + 14089690*u/3 = 0.
-5935, 0
Factor 85*s**3 + 387*s**2 + 194*s + 24.
(s + 4)*(5*s + 1)*(17*s + 6)
Determine w, given that 84*w**4 + 26*w**3 - 8*w**2 = 0.
-1/2, 0, 4/21
Factor s**5/2 - 15*s**4 - 48*s**3 - 49*s**2 - 33*s/2.
s*(s - 33)*(s + 1)**3/2
Factor 2*a**2/13 + 72*a/13 + 136/13.
2*(a + 2)*(a + 34)/13
Factor w**2 - 24*w + 135.
(w - 15)*(w - 9)
What is n in 2*n**2/13 - 12*n/13 + 18/13 = 0?
3
Let -p**5/4 - 7*p**4/4 - 7*p**3/2 - p**2/2 + 15*p/4 + 9/4 = 0. Calculate p.
-3, -1, 1
Factor 27*v**4 - 2025*v**3 + 53037*v**2 - 539387*v + 1431644.
(v - 4)*(3*v - 71)**3
Factor s**3 - 8*s**2 - 19*s - 10.
(s - 10)*(s + 1)**2
What is y in y**4/2 - 22*y**3 + 451*y**2/2 - 762*y + 558 = 0?
1, 6, 31
Factor -20*f**2 - 76*f + 16.
-4*(f + 4)*(5*f - 1)
Factor -2*n**2/9 - 164*n/9 - 18.
-2*(n + 1)*(n + 81)/9
Factor 2*h**4/9 - 22*h**3/9 - 70*h**2/9 + 86*h + 180.
2*(h - 9)**2*(h + 2)*(h + 5)/9
Find r, given that 5*r**4 - 25*r**3 + 100*r - 80 = 0.
-2, 1, 2, 4
Factor 2*v**2/9 - 16*v + 280/9.
2*(v - 70)*(v - 2)/9
What is i in -2*i**4/5 - 126*i**3/5 - 878*i**2/5 + 126*i/5 + 176 = 0?
-55, -8, -1, 1
Factor 2*p**5 + 14*p**4 + 38*p**3 + 50*p**2 + 32*p + 8.
2*(p + 1)**3*(p + 2)**2
Factor -4*z**5 - 144*z**4 + 300*z**3 - 152*z**2.
-4*z**2*(z - 1)**2*(z + 38)
Determine c so that 3*c**2 + 180*c + 2700 = 0.
-30
Suppose -z**4/5 - 8*z**3/5 - 13*z**2/5 - 6*z/5 = 0. What is z?
-6, -1, 0
Determine f, given that 4*f**2 - 44*f - 168 = 0.
-3, 14
Suppose -f**5 - 15*f**4 - 50*f**3 - 70*f**2 - 45*f - 11 = 0. Calculate f.
-11, -1
Solve 4*y**5 + 84*y**4 + 488*y**3 + 936*y**2 - 108*y - 1404 = 0 for y.
-13, -3, 1
Factor 14*m**3/3 - 2*m**2 - 8*m/3.
2*m*(m - 1)*(7*m + 4)/3
Factor c**3/10 - 7*c**2/5 - 9*c/10 + 63/5.
(c - 14)*(c - 3)*(c + 3)/10
Find y such that -2*y**4/5 - 26*y**3/5 - 38*y**2/5 + 66*y/5 = 0.
-11, -3, 0, 1
Factor n**3/3 - 101*n**2/3 + 66*n.
n*(n - 99)*(n - 2)/3
Determine i, given that 2*i**4/5 - 1272*i**3/5 + 303372*i**2/5 - 32157432*i/5 + 1278257922/5 = 0.
159
Factor -2*b**2 - 4084*b - 4082.
-2*(b + 1)*(b + 2041)
Determine y, given that 2*y**2 - 2*y - 112 = 0.
-7, 8
Solve l**4/9 - l**3/3 + l**2/9 + l/3 - 2/9 = 0 for l.
-1, 1, 2
Factor 2*h**4/5 + 46*h**3/5 + 286*h**2/5 + 242*h/5.
2*h*(h + 1)*(h + 11)**2/5
Suppose -4*a**3 + 192*a**2 - 1776*a - 4352 = 0. Calculate a.
-2, 16, 34
Suppose -5*o**3 + 75*o**2 - 135*o + 65 = 0. Calculate o.
1, 13
Solve 30*k**5 - 1025*k**4 + 7720*k**3 + 18520*k**2 - 5760*k - 6480 = 0.
-2, -1/2, 2/3, 18
Factor -g**3 - 293*g**2 + 589*g - 295.
-(g - 1)**2*(g + 295)
Factor 3*q**3/2 + 1305*q**2 + 567675*q/2.
3*q*(q + 435)**2/2
What is a in -9*a**3 + 29*a**2 - 24*a + 4 = 0?
2/9, 1, 2
Factor -95*r**3 + 667*r**2 - 14*r.
-r*(r - 7)*(95*r - 2)
Factor -6*g**3 - 92*g**2 + 64*g.
-2*g*(g + 16)*(3*g - 2)
Let 7*r**5 - 11*r**4/5 - 32*r**3 + 8*r**2 + 16*r + 16/5 = 0. What is r?
-2, -2/5, -2/7, 1, 2
Let -2*j**3/7 - 288*j**2/7 - 286*j/7 = 0. Calculate j.
-143, -1, 0
Factor 341138*h**2/9 - 3304*h/9 + 8/9.
2*(413*h - 2)**2/9
Suppose -d**2/5 - 24*d/5 + 52/5 = 0. What is d?
-26, 2
Factor 2*f**4/3 + 132*f**3 + 20378*f**2/3 + 25608*f + 75272/3.
2*(f + 2)**2*(f + 97)**2/3
Let t**2/7 - 24*t/7 + 95/7 = 0. What is t?
5, 19
Suppose -2*v**2 + 192*v - 4608 = 0. What is v?
48
Factor x**3/5 - 9*x**2/5 + 24*x/5 - 16/5.
(x - 4)**2*(x - 1)/5
Factor -14*w**3 + 4*w**2 + 14*w - 4.
-2*(w - 1)*(w + 1)*(7*w - 2)
Solve 540*c**5 - 4764*c**4 + 3248*c**3 + 2576*c**2 - 1088*c - 512 = 0.
-4/9, -2/5, 2/3, 1, 8
Factor -2*z**2 + 142*z - 1680.
-2*(z - 56)*(z - 15)
Find s such that 2*s**2/13 - 112*s/13 + 1568/13 = 0.
28
Factor -j**3/2 - 69*j**2 - 4761*j/2.
-j*(j + 69)**2/2
Suppose 2*h**3/5 + 96*h**2/5 + 216*h = 0. Calculate h.
-30, -18, 0
Factor -3*t**5/7 - 3*t**4/7 + 3*t**3/7 + 3*t**2/7.
-3*t**2*(t - 1)*(t + 1)**2/7
Find q, given that 3*q**5/5 - 63*q**4/5 + 384*q**3/5 - 1032*q**2/5 + 1296*q/5 - 624/5 = 0.
2, 13
Determine z, given that -2*z**4/3 + 268*z**3/3 + 274*z**2 = 0.
-3, 0, 137
Let -10*m**5/11 - 134*m**4/11 + 98*m**3/11 + 190*m**2/11 - 8*m - 56/11 = 0. Calculate m.
-14, -1, -2/5, 1
Solve 2*w**3/7 - 4*w**2/7 - 16*w/7 = 0.
-2, 0, 4
Suppose -o**3/10 - 49*o**2/5 - 193*o/10 - 48/5 = 0. Calculate o.
-96, -1
Find q such that q**2 - 501*q - 1006 = 0.
-2, 503
Factor -2*p**2/5 + 24*p/5 - 22/5.
-2*(p - 11)*(p - 1)/5
Determine b so that -5*b**4 + 90*b**3 + 15*b**2 - 260*b - 180 = 0.
-1, 2, 18
Factor -4*b**3 + 348*b**2 - 7392*b - 7744.
-4*(b - 44)**2*(b + 1)
Factor -10*q**3 - 54*q**2 - 60*q - 16.
-2*(q + 1)*(q + 4)*(5*q + 2)
Factor -20*f**3 - 4*f**2.
-4*f**2*(5*f + 1)
Factor -2*q**4 - 26*q**3 - 102*q**2 - 134*q - 56.
-2*(q + 1)**2*(q + 4)*(q + 7)
Factor 2*v**2 - 20*v - 22.
2*(v - 11)*(v + 1)
Solve 2*y**2 + 118*y/3 + 140 = 0 for y.
-15, -14/3
What is r in 2*r**5/7 - 38*r**4/7 + 118*r**3/7 + 38*r**2/7 - 120*r/7 = 0?
-1, 0, 1, 4, 15
Factor -3*d**4 + 156*d**3 - 2016*d**2 - 624*d + 8112.
-3*(d - 26)**2*(d - 2)*(d + 2)
Determine b so that -4*b**2/3 + 146*b/3 + 74/3 = 0.
-1/2, 37
Determine j so that -j**5 + 9*j**4 - 23*j**3 + 11*j**2 + 24*j - 20 = 0.
-1, 1, 2, 5
Find f such that 3*f**2 - 264*f + 261 = 0.
1, 87
Let -m**3 - 12*m**2 - 36*m - 32 = 0. What is m?
-8, -2
Factor -2*z**3/17 - 6*z**2/17 + 8/17.
-2*(z - 1)*(z + 2)**2/17
Suppose d**4/4 - 9*d**3 + 96*d**2 - 320*d = 0. Calculate d.
0, 8, 20
Suppose -10*z**4/11 + 24*z**3/11 + 62*z**2/11 + 12*z/11 - 16/11 = 0. Calculate z.
-1, 2/5, 4
What is t in t**5/10 + 7*t**4/10 - 39*t**3/10 + 53*t**2/10 - 11*t/5 = 0?
-11, 0, 1, 2
Factor -i**2/5 + 10*i - 125.
-(i - 25)**2/5
Factor 3*l**2 + 276*l - 564.
3*(l - 2)*(l + 94)
Solve 2*b**5/15 - 26*b**4/15 + 106*b**3/15 - 166*b**2/15 + 28*b/5 = 0 for b.
0, 1, 2, 3, 7
Suppose 4*k**2/3 + 8501*k/3 + 2125/3 = 0. What is k?
-2125, -1/4
Factor -2*w**2 + 70*w + 228.
-2*(w - 38)*(w + 3)
Factor 3*w**2/2 + 3*w/2.
3*w*(w + 1)/2
Factor -5*z**3 + 5*z**2.
-5*z**2*(z - 1)
Determine q so that 3*q**4 - 87*q**3/7 + 117*q**2/7 - 57*q/7 + 6/7 = 0.
1/7, 1, 2
Let 81*k**2 + 244*k + 3 = 0. What is k?
-3, -1/81
Factor -4*x**3 + 11904*x**2 - 11808768*x + 3904765952.
-4*(x - 992)**3
Solve 2*i**3/19 - 22*i**2/19 + 2*i - 18/19 = 0 for i.
1, 9
Solve 5*j**2 + 3890*j + 756605 = 0.
-389
Solve 4*k**4 - 132*k**3 - 940*k**2 + 132*k + 936 = 0 for k.
-6, -1, 1, 39
Factor i**2/7 - 625*i/7.
i*(i - 625)/7
Factor -g**2/8 + 1249*g/2 - 1560001/2.
-(g - 2498)**2/8
Factor 3*b**4 + 47*b**3 + 255*b**2 + 525*b + 250.
(b + 5)**3*(3*b + 2)
Determine x, given that x**3 - 4*x**2 = 0.
0, 4
Factor 2*j**5 - 2*j**4 - 18*j**3 + 18*j**2.
2*j**2*(j - 3)*(j - 1)*(j + 3)
Let 2*l**2 - 30*l + 28 = 0. What is l?
1, 14
What is t in 5*t**3/2 - 19*t**2 + 61*t/2 - 14 = 0?
1, 28/5
Factor -3*a**3/8 - 7*a**2/2 - 7*a/2 + 4.
-(a + 2)*(a + 8)*(3*a - 2)/8
Solve t**5 + 26*t**4 + 91*t**3 + 62*t**2 - 92*t - 88 = 0.
-22, -2, -1, 1
Suppose -3*t**5 + 36*t**4/7 - 9*t**3/7 - 6*t**2/7 = 0. What is t?
-2/7, 0, 1
Factor o**3/4 - 5*o**2/4 - o/4 + 5/4.
(o - 5)*(o - 1)*(o + 1)/4
Factor y**3/5 + 3*y**2/5 + 2*y/5.
y*(y + 1)*(y + 2)/5
Let -7*t**5/4 - 9*t**4/4 + 19*t**3/4 + 13*t**2/4 - 3*t - 1 = 0. What is t?
-2, -1, -2/7, 1
Factor -u**4/3 + 10*u**3 - 193*u**2/3 - 160*u - 256/3.
-(u - 16)**2*(u + 1)**2/3
Factor -m**3/3 - 3*m**2 + 4*m + 20/3.
-(m - 2)*(m + 1)*(m + 10)/3
Factor 2*l**3/3 + 2*l**2/3 - 82*l/3 - 70.
2*(l - 7)*(l + 3)*(l + 5)/3
Let 5*q**3 + 485*q**2 + 955*q + 475 = 0. Calculate q.
-95, -1
Factor o**4/5 - 3*o**3.
o**3*(o - 15)/5
Solve 3*h**2 + 66*h - 69 = 0.
-23, 1
Find i such that -3*i**3/4 + 1953*i**2/2 - 423801*i + 61309878 = 0.
434
Factor -245*y**5 - 210*y**4 + 235*y**3 + 120*y**2 - 80*y.
-5*y*(y + 1)**2*(7*y - 4)**2
Let -3*t**4/5 + 84*t**3/5 - 45*t**2 = 0. What is t?
0, 3, 25
Suppose 4*b**4 + 12*b**3 - 64*b**2 + 48*b = 0. What is b?
-6, 0, 1, 2
Factor 3*v**4/7 - 135*v**3/7 + 2025*v**2/7 - 10125*v/7.
3*v*(v - 15)**3/7
Solve z**4/3 + 2*z**3/3 - 64*z**2/3 - 290*z/3