**2/2 + 121/2.
-(m - 11)*(m + 11)/2
Factor 3*a**4/4 - 81*a**3/2 + 3099*a**2/4 - 6156*a + 17328.
3*(a - 19)**2*(a - 8)**2/4
Solve -b**4/5 - 2*b**3 - 17*b**2/5 - 8*b/5 = 0 for b.
-8, -1, 0
Let 2*z**3 - 54*z**2 + 94*z + 150 = 0. Calculate z.
-1, 3, 25
Factor 5*r**2 - 45*r + 40.
5*(r - 8)*(r - 1)
Factor 5*x**4 + 20*x**3 - 25*x**2 - 180*x - 180.
5*(x - 3)*(x + 2)**2*(x + 3)
Factor -2*n**2 + 6*n + 20.
-2*(n - 5)*(n + 2)
Factor -z**4/3 + 220*z**3 - 54450*z**2 + 5989500*z - 247066875.
-(z - 165)**4/3
Determine f, given that 35*f**2 - 180*f + 160 = 0.
8/7, 4
Solve 3*m**5/4 + 99*m**4/4 + 246*m**3 + 531*m**2 - 2184*m - 7056 = 0.
-14, -4, 3
What is n in -4*n**3 + 104*n**2 - 420*n - 3600 = 0?
-4, 15
Determine y so that 5*y**4 + 120*y**3 + 840*y**2 + 2080*y + 1680 = 0.
-14, -6, -2
Factor -2*u**3/3 + 630*u**2 - 149152*u + 445568/3.
-2*(u - 472)**2*(u - 1)/3
Solve 5*k**4 - 455*k**3 + 895*k**2 - 445*k = 0 for k.
0, 1, 89
Factor m**5 - 3*m**4 + m**3 + 3*m**2 - 2*m.
m*(m - 2)*(m - 1)**2*(m + 1)
Suppose -z**3 + 18*z**2 - 17*z = 0. What is z?
0, 1, 17
Solve -2*o**2 + 24*o + 896 = 0 for o.
-16, 28
Suppose -5*u**2 + 84*u - 1764/5 = 0. Calculate u.
42/5
Factor -2*t**3/11 + 1066*t**2/11 - 141510*t/11 - 142578/11.
-2*(t - 267)**2*(t + 1)/11
Let 2*v**4/17 - 108*v**3/17 + 1006*v**2/17 + 108*v/17 - 1008/17 = 0. Calculate v.
-1, 1, 12, 42
Factor 4*o**5 - 24*o**4 + 52*o**3 - 48*o**2 + 16*o.
4*o*(o - 2)**2*(o - 1)**2
Factor -4*g**2 - 276*g - 4320.
-4*(g + 24)*(g + 45)
Factor 3*x**3/2 + 18*x**2 - 729*x/2 + 345.
3*(x - 10)*(x - 1)*(x + 23)/2
Factor 4*k**3 + 148*k**2 + 1404*k + 1260.
4*(k + 1)*(k + 15)*(k + 21)
Factor 2*q**3/11 + 28*q**2/11 - 30*q/11.
2*q*(q - 1)*(q + 15)/11
Let -8*n**5/11 - 150*n**4/11 - 70*n**3 - 510*n**2/11 + 1858*n/11 - 420/11 = 0. What is n?
-10, -7, -3, 1/4, 1
Let -3*h**3 + 36*h**2 + 39*h = 0. Calculate h.
-1, 0, 13
What is l in -5*l**2/2 + 4500*l - 2025000 = 0?
900
What is p in -3*p**4 + 2544*p**3 - 808992*p**2 + 114337536*p - 6059889408 = 0?
212
Suppose -6*d**3 - 928*d**2 - 1534*d - 612 = 0. Calculate d.
-153, -1, -2/3
Factor -14*u**3/3 - 310*u**2/3 - 578*u/3 - 94.
-2*(u + 1)**2*(7*u + 141)/3
Factor y**4/5 - 288*y**3/5 + 31104*y**2/5 - 1492992*y/5 + 26873856/5.
(y - 72)**4/5
Factor 2*z**2/7 - 10320*z/7.
2*z*(z - 5160)/7
Determine s, given that 3*s**3/2 - 15*s**2 + 69*s/2 - 21 = 0.
1, 2, 7
Solve -4*i**5 - 52*i**4 - 228*i**3 - 396*i**2 - 216*i = 0 for i.
-6, -3, -1, 0
Factor -2*a**3/17 + 32*a**2/17 - 160*a/17 + 256/17.
-2*(a - 8)*(a - 4)**2/17
Suppose -2*m**3/9 - 42*m**2 - 6016*m/3 - 17672/9 = 0. Calculate m.
-94, -1
Suppose 4*v**4 - 20*v**3 - 4*v**2 + 20*v = 0. What is v?
-1, 0, 1, 5
What is j in j**3/4 + 3*j**2/2 - j/4 - 15/2 = 0?
-5, -3, 2
Find d such that 6*d**4 - 303*d**3/2 + 2067*d**2/2 - 1689*d + 360 = 0.
1/4, 2, 8, 15
Solve -h**2 + 21*h - 20 = 0.
1, 20
Factor -3*y**2 + 1614*y - 217083.
-3*(y - 269)**2
Find h, given that 5*h**2 + 505*h + 500 = 0.
-100, -1
Factor -x**2/5 - 2417*x/5 - 2416/5.
-(x + 1)*(x + 2416)/5
Factor f**4/4 - 13*f**3/4 - 45*f**2/2.
f**2*(f - 18)*(f + 5)/4
Solve 3*r**2 - 141*r - 144 = 0 for r.
-1, 48
Solve 2*m**2/3 - 64*m/3 = 0 for m.
0, 32
Find v such that 5*v**3 + 15*v**2 - 45*v + 25 = 0.
-5, 1
Factor v**4 - 13*v**3 - 30*v**2.
v**2*(v - 15)*(v + 2)
Determine n, given that n**2/3 + 226*n = 0.
-678, 0
Solve 8*y**2 + 228*y - 116 = 0.
-29, 1/2
Find c such that -2*c**4 + 8*c**3 + 8*c**2 - 32*c = 0.
-2, 0, 2, 4
Find t such that 3*t**5 - 258*t**4 + 6042*t**3 - 21408*t**2 + 25707*t - 10086 = 0.
1, 2, 41
Factor -15*g**3 - 26*g**2 + 8*g.
-g*(g + 2)*(15*g - 4)
Solve -f**2/10 - 4*f - 111/10 = 0 for f.
-37, -3
Let 3*x**4 - 63*x**3 + 54*x**2 + 120*x = 0. What is x?
-1, 0, 2, 20
Factor g**2 - 1604*g - 1605.
(g - 1605)*(g + 1)
Let g**2/3 + 145*g - 874/3 = 0. What is g?
-437, 2
Determine s so that -s**5/2 - 145*s**4/2 - 3660*s**3 - 71300*s**2 - 359720*s - 292008 = 0.
-46, -6, -1
Factor 489*x**3 - 1014*x**2 + 561*x - 36.
3*(x - 1)**2*(163*x - 12)
Factor 2*u**4/5 - 54*u**3/5 + 502*u**2/5 - 1746*u/5 + 1296/5.
2*(u - 9)**2*(u - 8)*(u - 1)/5
Let -4*k**4/7 + 32*k**3/7 + 4*k**2 - 488*k/7 + 96 = 0. Calculate k.
-4, 2, 3, 7
Factor 3*k**4/2 - 9*k**3 + 18*k**2 - 15*k + 9/2.
3*(k - 3)*(k - 1)**3/2
Factor -2*g**2/17 - 1848*g/17 - 1846/17.
-2*(g + 1)*(g + 923)/17
Factor -18*i**3/11 - 518*i**2/11 + 116*i/11.
-2*i*(i + 29)*(9*i - 2)/11
Solve -2*h**4/9 + 6*h**3 - 500*h**2/9 + 200*h - 2000/9 = 0.
2, 5, 10
Let 14*r**5 + 39*r**4 + 31*r**3 - r**2 - 9*r - 2 = 0. What is r?
-1, -2/7, 1/2
Solve 2*p**3/11 - 6*p**2 + 526*p/11 - 42 = 0 for p.
1, 11, 21
Suppose 24*c**4/7 - 25*c**3/7 - 95*c**2/7 + 100*c/7 - 4/7 = 0. What is c?
-2, 1/24, 1, 2
Solve 7*z**5 + 2*z**4 - 7*z**3 - 2*z**2 = 0.
-1, -2/7, 0, 1
Factor -f**3/3 + 16*f**2/3 - 64*f/3.
-f*(f - 8)**2/3
Factor 2*b**2/19 + 20*b/19.
2*b*(b + 10)/19
Factor -f**2 + 5*f.
-f*(f - 5)
Factor -11*o**2/6 + 2947*o/3 + 536/3.
-(o - 536)*(11*o + 2)/6
Factor -l**3/9 - 13*l**2/9 - 4*l/3.
-l*(l + 1)*(l + 12)/9
What is v in -4*v**2 - 228*v + 232 = 0?
-58, 1
Determine z so that -2*z**5/3 - 16*z**4 - 122*z**3 - 920*z**2/3 - 200*z = 0.
-10, -3, -1, 0
Factor -2*n**3/15 - 8*n**2/15 + 14*n/15 + 4/3.
-2*(n - 2)*(n + 1)*(n + 5)/15
Solve -u**2 + 34*u - 64 = 0.
2, 32
Factor -2*j**2/13 - 2*j/13.
-2*j*(j + 1)/13
What is a in 484*a**4 + 396*a**3 - 84*a**2 + 4*a = 0?
-1, 0, 1/11
Let 68*l**2/3 + 2*l = 0. What is l?
-3/34, 0
Find x, given that -16*x**2 + 23148*x + 5788 = 0.
-1/4, 1447
Factor 4*w**4 + 12*w**3 - 20*w**2 - 12*w + 16.
4*(w - 1)**2*(w + 1)*(w + 4)
Suppose u**3 + 9*u**2 - 22*u = 0. What is u?
-11, 0, 2
What is c in -c**3/4 - 95*c**2/4 + 73*c - 49 = 0?
-98, 1, 2
Determine v, given that -2*v**5/5 + 8*v**4/5 + 54*v**3/5 - 108*v**2/5 - 432*v/5 = 0.
-3, 0, 4, 6
Factor 4*m**5/9 - 16*m**4/9 - 4*m**3/3 + 136*m**2/9 - 208*m/9 + 32/3.
4*(m - 2)**3*(m - 1)*(m + 3)/9
Factor 736*m**2/3 - 486*m - 28/3.
2*(m - 2)*(368*m + 7)/3
Determine v so that -2*v**5/17 + 8*v**4/17 + 88*v**3/17 - 444*v**2/17 + 234*v/17 + 756/17 = 0.
-7, -1, 3, 6
Determine x so that -x**4/2 + 8*x**3 + 57*x**2/2 + 2*x - 38 = 0.
-2, 1, 19
Factor -2*d**2 - 36*d + 80.
-2*(d - 2)*(d + 20)
Factor 5*n**4 + 45*n**3 - 5*n**2 - 45*n.
5*n*(n - 1)*(n + 1)*(n + 9)
Determine p, given that 5*p**2/3 - 10*p/3 - 5 = 0.
-1, 3
Suppose 21*c**3 + 783*c**2 + 222*c = 0. Calculate c.
-37, -2/7, 0
Suppose -5*n**4 + 1395*n**3 - 8235*n**2 + 12285*n = 0. What is n?
0, 3, 273
Factor 4*c**2 - 14*c - 198.
2*(c - 9)*(2*c + 11)
Factor 2*c**4/7 - 2938*c**3/7 - 8826*c**2/7 - 8830*c/7 - 2944/7.
2*(c - 1472)*(c + 1)**3/7
Factor 2*h**4 + 8*h**3 - 70*h**2 - 12*h + 288.
2*(h - 3)**2*(h + 2)*(h + 8)
Suppose 2*x**3 + 8*x**2 + 2*x - 12 = 0. What is x?
-3, -2, 1
Find q, given that 5*q**4 + 180*q**3 + 1615*q**2 - 180*q - 1620 = 0.
-18, -1, 1
Determine j so that -j**4 + 3*j**2 - 2*j = 0.
-2, 0, 1
Factor -5*q**2 + 755*q - 1490.
-5*(q - 149)*(q - 2)
Factor -d**3/4 - 13*d**2/4 - 4*d + 48.
-(d - 3)*(d + 8)**2/4
Factor -3*n**4 + 18*n**3 + 12*n**2 - 72*n.
-3*n*(n - 6)*(n - 2)*(n + 2)
Solve 4*x**3/5 - 472*x**2/5 + 932*x/5 - 464/5 = 0 for x.
1, 116
Factor -n**2/3 + 1438*n/3 + 1439/3.
-(n - 1439)*(n + 1)/3
Factor 5*c**2 + 15*c - 20.
5*(c - 1)*(c + 4)
Find p, given that 14*p**5/17 + 32*p**4/17 - 2*p**3 - 4*p**2 + 40*p/17 + 16/17 = 0.
-2, -2/7, 1
What is k in 2*k**2/7 + 646*k/7 + 92 = 0?
-322, -1
Solve 2*s**5/13 - 8*s**3/13 + 4*s**2/13 + 6*s/13 - 4/13 = 0.
-2, -1, 1
Factor m**2/2 - 27*m/2 + 55.
(m - 22)*(m - 5)/2
Determine r, given that 196*r**3 - 8568*r**2 - 2460*r - 176 = 0.
-1/7, 44
Suppose 2*a**4 - 574*a**3 + 40896*a**2 + 41472*a = 0. Calculate a.
-1, 0, 144
Let -d**3/5 - 93*d**2 - 53823*d/5 + 54289/5 = 0. What is d?
-233, 1
Factor -3*g**2/5 + 66*g/5 - 63.
-3*(g - 15)*(g - 7)/5
Factor -t**3/2 + 1103*t**2.
-t**2*(t - 2206)/2
Factor 2*v**2 + 12*v - 14.
2*(v - 1)*(v + 7)
Factor 681*l**2/5 + 439*l/5 - 2.
(3*l + 2)*(227*l - 5)/5
Factor 9*r**3 - 60*r**2 + 69*r + 30.
3*(r - 5)*(r - 2)*(3*r + 1)
Solve 2*p**2 + 22*p - 204 = 0.
-17, 6
Factor -4*o**2/5 - 36*o/5 - 32/5.
-4*(o + 1)*(o + 8)/5
Factor -2*w**3/3 - 668*w**2 - 3990*w - 5976.
-2*(w + 3)**2*(w + 996)/3
Factor y**2 + 396*y - 796.
(y - 2)*(y + 398)
Find q such that 3*q**3/4 + 9*q**2/4 - 39*q/4 - 45/4 = 0.
-5, -1, 3
Determine j, given that 2*j**3 + 36*j**2 - 288*j = 0.
-24, 0, 6
Suppose -3*u**2 -