*n**4/2 - 1487*n**3/2 + 113049*n**2/2 - 369117*n/2 + 64827 = 0 for n.
2/5, 3, 147
Determine x, given that -3750*x**2 + 400*x - 32/3 = 0.
4/75
Suppose h**5/2 + 27*h**4/2 + 97*h**3/2 + 117*h**2/2 + 23*h = 0. Calculate h.
-23, -2, -1, 0
Factor -4*m**2/3 + 82*m/9 + 14/9.
-2*(m - 7)*(6*m + 1)/9
Factor 2*h**2/13 - 34*h/13 - 36/13.
2*(h - 18)*(h + 1)/13
Factor 3*g**2/2 + 3*g/2 - 63.
3*(g - 6)*(g + 7)/2
Factor -2*k**3 - 40*k**2 - 146*k + 468.
-2*(k - 2)*(k + 9)*(k + 13)
Find a such that 3*a**3 + 189*a**2 + 717*a + 531 = 0.
-59, -3, -1
Factor -3*v**3 + 141*v**2 + 291*v + 147.
-3*(v - 49)*(v + 1)**2
Solve -747*a**3/4 - 3*a**2/2 + 747*a/4 + 3/2 = 0.
-1, -2/249, 1
Let 2*n**3/7 - 2*n**2 - 80*n/7 - 88/7 = 0. Calculate n.
-2, 11
Factor -7*p**3/5 + 29*p**2 - 98*p/5 - 8.
-(p - 20)*(p - 1)*(7*p + 2)/5
Determine u, given that 3*u**2 + 966*u - 969 = 0.
-323, 1
Suppose 3*p**4 - 124*p**3/3 + 539*p**2/3 - 228*p - 60 = 0. Calculate p.
-2/9, 3, 5, 6
Solve 5*n**5 - 45*n**3 + 20*n**2 + 60*n = 0 for n.
-3, -1, 0, 2
Factor 2*s**3/9 + 18*s**2 - 500*s/9 + 112/3.
2*(s - 2)*(s - 1)*(s + 84)/9
Factor -2*g**2/5 + 9304*g/5.
-2*g*(g - 4652)/5
Factor 5*f**2 + 90*f + 160.
5*(f + 2)*(f + 16)
Let 2*c**5/11 - 826*c**4/11 + 85694*c**3/11 - 84046*c**2/11 - 85696*c/11 + 84872/11 = 0. What is c?
-1, 1, 206
Solve 5*o**3/6 + 25*o**2 + 315*o/2 - 550/3 = 0.
-20, -11, 1
Factor 35*q**3 + 80*q**2 + 20*q.
5*q*(q + 2)*(7*q + 2)
Factor 4*h**3 + 1092*h**2 + 73980*h - 75076.
4*(h - 1)*(h + 137)**2
Factor o**5 - 2*o**4 - o**3 + 2*o**2.
o**2*(o - 2)*(o - 1)*(o + 1)
Factor -x**4/7 + 17*x**3/7 - 61*x**2/7 - 117*x/7 + 162/7.
-(x - 9)**2*(x - 1)*(x + 2)/7
Suppose -98*b**5 + 238*b**4 - 36*b**3 - 88*b**2 - 16*b = 0. What is b?
-2/7, 0, 1, 2
Determine z, given that 2*z**5/5 - 18*z**4/5 - 14*z**3 - 6*z**2 + 68*z/5 + 48/5 = 0.
-2, -1, 1, 12
Factor 6*x**2 - 1325*x - 221.
(x - 221)*(6*x + 1)
Factor -42*o**3/5 - 1592*o**2/5 - 3002*o + 1444/5.
-2*(o + 19)**2*(21*o - 2)/5
What is z in 39*z**2/2 - 12*z - 54 = 0?
-18/13, 2
Factor -2*v**3 - 12*v**2 - 6*v + 20.
-2*(v - 1)*(v + 2)*(v + 5)
Let 2*m**4/15 - 6*m**3/5 + 28*m**2/15 = 0. Calculate m.
0, 2, 7
Factor 2*v**5 + 4*v**4 - 6*v**3 - 16*v**2 - 8*v.
2*v*(v - 2)*(v + 1)**2*(v + 2)
Factor n**4/5 - 24*n**3/5 + 54*n**2/5 + 216*n + 405.
(n - 15)**2*(n + 3)**2/5
Find w such that 2*w**3/7 + 62*w**2/7 - 272*w/7 + 40 = 0.
-35, 2
Factor -r**3 - 45*r**2 - 242*r - 312.
-(r + 2)*(r + 4)*(r + 39)
Factor 5*w**2 + 45*w - 50.
5*(w - 1)*(w + 10)
Factor 2*f**2/3 - 58*f + 340/3.
2*(f - 85)*(f - 2)/3
Factor -5*p**3/4 - 1725*p**2/2 - 147915*p + 299290.
-5*(p - 2)*(p + 346)**2/4
Factor 3*s**3/2 + 123*s**2/2 + 237*s/2 + 117/2.
3*(s + 1)**2*(s + 39)/2
What is k in 2*k**4/3 - 13*k**3 + 14*k**2/3 + 31*k + 38/3 = 0?
-1, -1/2, 2, 19
What is u in 2*u**3/25 - 396*u**2/25 + 768*u + 1600 = 0?
-2, 100
Factor 5*w**4/4 + 865*w**3/4 + 36975*w**2/4 - 37845*w/4.
5*w*(w - 1)*(w + 87)**2/4
Find p, given that p**2 + 292*p + 21316 = 0.
-146
Factor -w**4 - 2*w**3 + 5*w**2 + 6*w.
-w*(w - 2)*(w + 1)*(w + 3)
Let 5*n**3/2 + 17*n**2 + 75*n/2 + 27 = 0. Calculate n.
-3, -2, -9/5
Factor -3*h**3 + 75*h**2 - 261*h + 189.
-3*(h - 21)*(h - 3)*(h - 1)
Factor -81*t**4 - 774*t**3 - 373*t**2 + 284*t - 36.
-(t + 1)*(t + 9)*(9*t - 2)**2
Suppose -o**5 - 3*o**4 + o**3 + 11*o**2 + 12*o + 4 = 0. Calculate o.
-2, -1, 2
Factor -2*f**4/5 + 6*f**3/5 + 8*f**2/5.
-2*f**2*(f - 4)*(f + 1)/5
Determine p, given that 5*p**5 - 45*p**4 + 90*p**3 + 270*p**2 - 1215*p + 1215 = 0.
-3, 3
Factor -x**3/10 - x**2/10 + 6*x/5.
-x*(x - 3)*(x + 4)/10
Factor f**2 + 260*f + 16900.
(f + 130)**2
Factor -l**4 + 22*l**3 - 59*l**2 + 38*l.
-l*(l - 19)*(l - 2)*(l - 1)
Factor -3*w**2 - 3984*w - 1322688.
-3*(w + 664)**2
Factor 25*v**4 + 340*v**3 - 515*v**2 + 150*v.
5*v*(v - 1)*(v + 15)*(5*v - 2)
Determine g so that -4*g**3 + 144*g**2 + 4*g - 144 = 0.
-1, 1, 36
Let -15*d**3 - 5*d**2 = 0. What is d?
-1/3, 0
Factor 9*u**2 + 1452*u - 972.
3*(u + 162)*(3*u - 2)
Factor -a**2/6 + 6932*a/3 - 24026312/3.
-(a - 6932)**2/6
Let 3*x**5/4 + 9*x**4/4 - 9*x**3/2 - 39*x**2/2 - 81*x/4 - 27/4 = 0. Calculate x.
-3, -1, 3
Solve -f**4/2 - 5*f**3 - 14*f**2 - 12*f = 0.
-6, -2, 0
Factor -2*d**4/11 + 10*d**3/11.
-2*d**3*(d - 5)/11
Find j, given that -3*j**4 + 15*j**3 - 60*j + 48 = 0.
-2, 1, 2, 4
Find v, given that 35*v**3 + 81*v**2 + 12*v - 20 = 0.
-2, -5/7, 2/5
Factor 2*d**2/9 - 68*d/3 - 144.
2*(d - 108)*(d + 6)/9
Factor 5*f**2 - 1230*f + 75645.
5*(f - 123)**2
Factor -2*s**2 - 352*s.
-2*s*(s + 176)
Find w, given that w**3/2 - 59*w**2/2 + 775*w/2 + 2883/2 = 0.
-3, 31
Find a such that -2*a**3/9 + 2*a**2/9 + 22*a/3 + 14 = 0.
-3, 7
Suppose -3*m**2/4 - 6*m = 0. Calculate m.
-8, 0
Factor v**3/3 + 35*v**2/3 - v/3 - 35/3.
(v - 1)*(v + 1)*(v + 35)/3
Find h such that 45*h**3 + 55*h**2 + 10*h = 0.
-1, -2/9, 0
Factor -j**3/3 - 4*j**2/3 - j.
-j*(j + 1)*(j + 3)/3
What is t in -6*t**5/5 + 76*t**4/5 - 262*t**3/5 + 24*t**2 + 72*t/5 = 0?
-1/3, 0, 1, 6
Factor 5*y**2 - 135*y - 140.
5*(y - 28)*(y + 1)
Factor -5*p**3/4 + 125*p**2/4 - 85*p + 55.
-5*(p - 22)*(p - 2)*(p - 1)/4
Factor x**2/4 + 9*x/2 + 8.
(x + 2)*(x + 16)/4
Factor 2*i**4 - 12*i**3 - 24*i**2 + 112*i + 192.
2*(i - 6)*(i - 4)*(i + 2)**2
Factor -q**3/10 + 2*q**2/5 - q/10 - 3/5.
-(q - 3)*(q - 2)*(q + 1)/10
Factor -144*s**5 + 672*s**4 + 236*s**3 + 20*s**2.
-4*s**2*(s - 5)*(6*s + 1)**2
Determine h, given that -h**5 + 8*h**4 - 90*h**2 + 81*h + 162 = 0.
-3, -1, 3, 6
Find a such that -15*a**2 + 1550*a + 1040 = 0.
-2/3, 104
Factor l**2/6 - 21*l/2 + 376/3.
(l - 47)*(l - 16)/6
Factor -2*c**2 + 108*c - 208.
-2*(c - 52)*(c - 2)
Solve 3*w**4/2 + 12*w**3 - 27*w**2/2 = 0 for w.
-9, 0, 1
Factor 2*i**4/9 + 2*i**3/3 - 2*i**2/3 - 22*i/9 - 4/3.
2*(i - 2)*(i + 1)**2*(i + 3)/9
Let 3*w**3 - 42*w**2 + 105*w + 150 = 0. What is w?
-1, 5, 10
Let 9*i**5/5 - 21*i**4/5 + 13*i**3/5 + i**2/5 - 2*i/5 = 0. What is i?
-1/3, 0, 2/3, 1
Find n such that n**4/3 + 7*n**3/3 - 3*n**2 - 7*n/3 + 8/3 = 0.
-8, -1, 1
Solve -p**5/3 - 23*p**4/3 + 104*p**3/3 - 36*p**2 = 0.
-27, 0, 2
Solve -51*b**2/4 - 18*b + 123/4 = 0 for b.
-41/17, 1
Factor 2*n**4/9 + 64*n**3/9 + 80*n**2 + 3200*n/9 + 4000/9.
2*(n + 2)*(n + 10)**3/9
Suppose 3*g**4 + 177*g**3 + 3420*g**2 + 20400*g - 24000 = 0. What is g?
-20, 1
Factor 2*y**2 - 50*y - 1548.
2*(y - 43)*(y + 18)
Factor -2*i**4 + 16*i**3 - 30*i**2 - 16*i + 32.
-2*(i - 4)**2*(i - 1)*(i + 1)
Factor 5*t**2 + 5*t - 10.
5*(t - 1)*(t + 2)
Factor -6*f**3 - 133*f**2 - 748*f - 121.
-(f + 11)**2*(6*f + 1)
Factor -2*k**2/3 + 898*k/3 - 896/3.
-2*(k - 448)*(k - 1)/3
Solve 3*f**4/2 + 93*f**3/2 - 639*f**2/2 + 987*f/2 - 222 = 0 for f.
-37, 1, 4
Determine t so that 5*t**3/7 + 142*t**2/7 - 87*t/7 = 0.
-29, 0, 3/5
Suppose -3*x**2/5 + 81*x/5 - 216/5 = 0. What is x?
3, 24
What is m in -2*m**2 - 38*m - 68 = 0?
-17, -2
Let -4*r**2/3 - 112*r/3 + 2132/3 = 0. What is r?
-41, 13
Determine d so that d**5/2 - 31*d**4 + 710*d**3 - 7236*d**2 + 31104*d - 46656 = 0.
4, 18
Determine i, given that 3*i**5 + 6*i**4 - 36*i**3 + 42*i**2 - 15*i = 0.
-5, 0, 1
Factor 3*c**4/4 - 15*c**3/4 + 3*c**2/4 + 63*c/4 - 27/2.
3*(c - 3)**2*(c - 1)*(c + 2)/4
Let -n**2/2 + 55*n/2 - 53 = 0. Calculate n.
2, 53
Find z, given that z**2/2 - 63*z/2 + 90 = 0.
3, 60
Determine u so that 4*u**3/5 + 12*u**2 + 48*u/5 - 112/5 = 0.
-14, -2, 1
Determine p so that p**3/3 - p - 2/3 = 0.
-1, 2
Factor -15*z**3 - 80*z**2 - 140*z - 80.
-5*(z + 2)**2*(3*z + 4)
Find p, given that 5*p**5/2 - 39*p**4 + 403*p**3/2 - 373*p**2 + 96*p + 112 = 0.
-2/5, 1, 4, 7
Factor v**2/4 + 27*v/4 - 81.
(v - 9)*(v + 36)/4
Factor -2*b**5/11 + 34*b**4/11 - 160*b**3/11 + 128*b**2/11.
-2*b**2*(b - 8)**2*(b - 1)/11
Factor -6*a**4/5 + 42*a**2/5 + 36*a/5.
-6*a*(a - 3)*(a + 1)*(a + 2)/5
Determine j so that -22*j**4/17 - 150*j**3/17 + 644*j**2/17 - 552*j/17 + 80/17 = 0.
-10, 2/11, 1, 2
Solve -4*m**3/7 - 12*m**2/7 + 64*m/7 - 48/7 = 0 for m.
-6, 1, 2
Factor 4*g**3/5 + 42*g**2 + 854*g/5 - 96.
2*(g + 5)*(g + 48)*(2*g - 1)/5
Let -o**4/2 + 71*o**3/4 + 19*o**2/2 - 71*o/4 - 9 = 0. Calculate o.
-1, -1/2, 1, 36
Factor -4*x**3 + 348*x**2 + 5256*x - 5600.
-4*(x - 100)*(x - 1)*(x + 14)
Let 2*p**4/3 - 4*p**3/9 - 110*p**2/9 - 100*p/9 = 0. Calculate p.
-10/3, -1, 0, 5
Suppose -35*v**3 + 220*v**2 - 375*v + 90 = 0. What is v?
2/7, 3
Find s, given that s**2/6 - 5*s/3 + 7/2 = 0.
3, 7
Factor -5*f**3/2 