*(b + 9)*(3*b - 1)/3
Factor 12*s**4 - 26*s**3 - 88*s**2 - 50*s.
2*s*(s + 1)**2*(6*s - 25)
Solve w**5 - 4*w**4 - 6*w**3 + 16*w**2 + 29*w + 12 = 0.
-1, 3, 4
Suppose 3*h**2/2 - 279*h/2 - 141 = 0. What is h?
-1, 94
Factor -a**4 + 10*a**3 + 24*a**2.
-a**2*(a - 12)*(a + 2)
Find v such that 2*v**2/5 + 4106*v/5 = 0.
-2053, 0
Factor v**3/2 + 29*v**2/2 + 14*v.
v*(v + 1)*(v + 28)/2
Determine f so that -14*f**5/5 - 18*f**4 - 98*f**3/5 + 186*f**2/5 + 112*f/5 - 96/5 = 0.
-4, -3, -1, 4/7, 1
Solve -95*q**5 - 105*q**4 + 1130*q**3 + 2780*q**2 + 1800*q + 160 = 0 for q.
-2, -1, -2/19, 4
Determine d so that 458*d**2/11 + 438*d/11 - 20/11 = 0.
-1, 10/229
Solve -j**2/2 + 27*j + 171/2 = 0.
-3, 57
Determine w so that 4*w**3 + 276*w**2 + 2736*w = 0.
-57, -12, 0
Let 15*a**5/4 + 129*a**4/4 + 297*a**3/4 + 135*a**2/4 = 0. What is a?
-5, -3, -3/5, 0
Determine o so that 3*o**4 - 162*o**3 - 879*o**2 - 378*o + 1416 = 0.
-4, -2, 1, 59
Let -27*a**3 + 330*a**2 - 1044*a + 216 = 0. What is a?
2/9, 6
Find z, given that -z**3/6 + 12*z**2 - 135*z/2 + 99 = 0.
3, 66
Suppose -2*m**4/3 + 84*m**3 - 248*m**2 + 740*m/3 - 82 = 0. What is m?
1, 123
Factor -h**2/3 - 175*h/3 + 176/3.
-(h - 1)*(h + 176)/3
Factor -l**3/9 + 77*l**2/9 - 151*l/9 + 25/3.
-(l - 75)*(l - 1)**2/9
Find d, given that 5*d**3/6 - 150*d**2 + 8510*d - 438080/3 = 0.
32, 74
Suppose -52*k**5 + 204*k**4 - 196*k**3 - 108*k**2 + 248*k - 96 = 0. What is k?
-1, 12/13, 1, 2
Determine i so that 2*i**2 - 254*i - 516 = 0.
-2, 129
Solve v**5 + 59*v**4 + 331*v**3 + 701*v**2 + 640*v + 212 = 0.
-53, -2, -1
Suppose 2*b**4 - 34*b**3 + 80*b**2 + 600*b = 0. What is b?
-3, 0, 10
Factor -4*t**3/5 - 52*t**2/5 - 104*t/5 + 32.
-4*(t - 1)*(t + 4)*(t + 10)/5
Let -15*y**4 + 579*y**3 - 6246*y**2 + 11988*y + 5832 = 0. Calculate y.
-2/5, 3, 18
Find r such that -2*r**5/9 + 10*r**4/3 - 6*r**3 - 478*r**2/9 - 16*r + 72 = 0.
-2, 1, 9
Factor 15*i**3 - 246*i**2 + 96*i.
3*i*(i - 16)*(5*i - 2)
Determine i so that -14*i**5 + 249*i**4 - 604*i**3 + 279*i**2 + 90*i = 0.
-3/14, 0, 1, 2, 15
Factor -a**4/4 - 5*a**3/4 - a**2/2 + 2*a.
-a*(a - 1)*(a + 2)*(a + 4)/4
What is k in k**2/3 + 12496*k/3 + 39037504/3 = 0?
-6248
Suppose 3*l**5 - 12*l**4 - 72*l**3 + 138*l**2 + 645*l + 450 = 0. Calculate l.
-3, -2, -1, 5
Factor 3*b**2 + 48*b + 189.
3*(b + 7)*(b + 9)
Factor -2*c**4/7 - 4*c**3/7 + 24*c**2/7 - 4*c + 10/7.
-2*(c - 1)**3*(c + 5)/7
Determine j so that j**5 + 4*j**4 - 38*j**3 - 44*j**2 + 37*j + 40 = 0.
-8, -1, 1, 5
Determine n, given that -3*n**2 + 11580*n - 11174700 = 0.
1930
Determine w so that 70*w**4 - 104*w**3 - 102*w**2 + 64*w - 8 = 0.
-1, 1/5, 2/7, 2
Factor -2*b**4 - 52*b**3 + 58*b**2 + 108*b.
-2*b*(b - 2)*(b + 1)*(b + 27)
Factor d**4 - 13*d**3 + 57*d**2 - 99*d + 54.
(d - 6)*(d - 3)**2*(d - 1)
Let 3*p**4 + 90*p**3 + 84*p**2 - 90*p - 87 = 0. What is p?
-29, -1, 1
Suppose -2*l**4/3 - 8*l**3 - 100*l**2/3 - 56*l - 30 = 0. Calculate l.
-5, -3, -1
Determine d, given that 6*d**5/5 - 183*d**4/5 + 72*d**3/5 + 561*d**2/5 - 636*d/5 + 36 = 0.
-2, 1/2, 1, 30
Suppose 5*d**4/2 + 539*d**3/2 - 2333*d**2/2 + 2125*d/2 - 168 = 0. Calculate d.
-112, 1/5, 1, 3
Let 2*k**5/7 - 4*k**4 - 36*k**3/7 + 80*k**2/7 + 146*k/7 + 60/7 = 0. Calculate k.
-1, 2, 15
Factor -4*z**3 - 128*z**2 - 240*z.
-4*z*(z + 2)*(z + 30)
Factor -o**4 + 23*o**3 + 76*o**2 + 52*o.
-o*(o - 26)*(o + 1)*(o + 2)
Factor 3*a**4 + 15*a**3 - 24*a**2 - 36*a.
3*a*(a - 2)*(a + 1)*(a + 6)
Solve 2*l**3 + 20*l**2 - 26*l - 44 = 0.
-11, -1, 2
Factor 5*s**4 + 15*s**3 + 10*s**2.
5*s**2*(s + 1)*(s + 2)
Find y such that y**4 - 10*y**3 + 17*y**2 - 8*y = 0.
0, 1, 8
Let j**2/5 - 14*j + 936/5 = 0. What is j?
18, 52
Factor -12*o**4 - 136*o**3 + 96*o**2.
-4*o**2*(o + 12)*(3*o - 2)
Solve -3*w**4 + 12*w**3 - 9*w**2 - 12*w + 12 = 0 for w.
-1, 1, 2
Factor -27*p**2/4 - 1221*p/4 - 135/2.
-3*(p + 45)*(9*p + 2)/4
Determine i so that -4*i**4 - 92*i**3 - 676*i**2 - 1668*i - 1080 = 0.
-10, -9, -3, -1
Let 4*h**3 + 320*h**2 + 1228*h + 912 = 0. What is h?
-76, -3, -1
Factor 32*u**2 + 44*u + 12.
4*(u + 1)*(8*u + 3)
Suppose -4*w**2 - 53624*w - 179720836 = 0. Calculate w.
-6703
Find k, given that 5*k**2/3 - 60*k = 0.
0, 36
Factor -4*h**3 + 12*h**2 + 292*h + 660.
-4*(h - 11)*(h + 3)*(h + 5)
Determine x so that x**3 - 52*x**2 + 845*x - 4394 = 0.
13, 26
Suppose 4*q**2 - 46704*q + 136328976 = 0. What is q?
5838
Factor m**2/4 + 621*m/2 + 385641/4.
(m + 621)**2/4
Factor -2*s**2 + 19612*s - 48078818.
-2*(s - 4903)**2
Factor -4*o**4 - 156*o**3 - 1848*o**2 - 3920*o + 32928.
-4*(o - 3)*(o + 14)**3
Determine o, given that -2*o**4/19 + 156*o**3/19 - 150*o**2/19 - 308*o/19 = 0.
-1, 0, 2, 77
Let u**5 - 2*u**4 - 2*u**3 + 4*u**2 + u - 2 = 0. Calculate u.
-1, 1, 2
Factor -44*z**4 - 6*z**3.
-2*z**3*(22*z + 3)
Solve -6*m**5/5 - 34*m**4/5 + 64*m**3/5 + 56*m**2/5 = 0.
-7, -2/3, 0, 2
Find l such that 21*l**3/4 + 22*l**2 - 89*l/4 - 5 = 0.
-5, -4/21, 1
Factor n**2/4 - 5*n/4 - 3/2.
(n - 6)*(n + 1)/4
Suppose 3*x**2 + 28644*x + 68373228 = 0. Calculate x.
-4774
Factor -f**2 - 689*f + 1382.
-(f - 2)*(f + 691)
Find h, given that -2*h**3 + 18*h**2 - 30*h + 14 = 0.
1, 7
Factor 5*z**2 - 395*z - 810.
5*(z - 81)*(z + 2)
Factor 5*s**3 - 40*s**2 - 45*s.
5*s*(s - 9)*(s + 1)
Factor -r**3/8 - 3*r**2 + 49*r/2 + 60.
-(r - 8)*(r + 2)*(r + 30)/8
Factor -6084*n**3 - 6032*n**2 - 1940*n - 200.
-4*(9*n + 2)*(13*n + 5)**2
Let 3*x**4/2 + 207*x**3/2 - 1695*x**2 + 4176*x + 15936 = 0. What is x?
-83, -2, 8
Factor -5*v**3 + 1595*v**2 - 3175*v + 1585.
-5*(v - 317)*(v - 1)**2
Factor 2*t**3/11 + 20*t**2/11 - 46*t/11 + 24/11.
2*(t - 1)**2*(t + 12)/11
Find x such that 5*x**4 - 5*x**3 - 45*x**2 + 45*x = 0.
-3, 0, 1, 3
Find d, given that -75*d**4 - 135*d**3 - 72*d**2 - 12*d = 0.
-1, -2/5, 0
Solve -c**3 - 586*c**2/7 - 140*c + 328/7 = 0 for c.
-82, -2, 2/7
Find a such that 5*a**4 + 10*a**3 - 5*a**2 - 10*a = 0.
-2, -1, 0, 1
Factor 3844*k**3 + 2170*k**2 + 128*k + 2.
2*(2*k + 1)*(31*k + 1)**2
Suppose -x**3 - 200*x**2 - 197*x + 398 = 0. Calculate x.
-199, -2, 1
Suppose -4*a**5 - 102*a**4 - 590*a**3 - 170*a**2 + 594*a + 272 = 0. Calculate a.
-17, -8, -1, -1/2, 1
Let c**5/3 - 11*c**3/3 - 6*c**2 - 8*c/3 = 0. Calculate c.
-2, -1, 0, 4
Determine r so that -2*r**5 - 186*r**4 + 190*r**3 + 186*r**2 - 188*r = 0.
-94, -1, 0, 1
Factor -5*d**2 + 375*d.
-5*d*(d - 75)
Factor -i**4/3 + 6*i**3 + i**2/3 - 6*i.
-i*(i - 18)*(i - 1)*(i + 1)/3
What is i in 2*i**4 + 50*i**3/3 + 142*i**2/3 + 50*i + 12 = 0?
-3, -2, -1/3
Suppose 12*r**5 + 64*r**4 - 84*r**3 - 648*r**2 - 128*r + 384 = 0. Calculate r.
-4, -1, 2/3, 3
Factor -h**2/6 + 25*h/3 + 53/2.
-(h - 53)*(h + 3)/6
Suppose 5*k**5 - 130*k**4 - 295*k**3 + 420*k**2 = 0. Calculate k.
-3, 0, 1, 28
Let 3*s**3/2 - 5226*s**2 + 9114135*s/2 - 9093243 = 0. Calculate s.
2, 1741
Let -u**2 - 36*u + 160 = 0. What is u?
-40, 4
Suppose -3*x**2 + 156*x - 153 = 0. What is x?
1, 51
Determine m, given that 3*m**3/2 + 13*m**2/2 - 16*m - 6 = 0.
-6, -1/3, 2
Find f such that -3*f**2 - 291*f = 0.
-97, 0
Suppose 15*a**4/8 + 171*a**3/8 + 291*a**2/8 - 315*a/8 - 81/4 = 0. Calculate a.
-9, -3, -2/5, 1
Let 3*p**2/4 + 5913*p/2 + 11654523/4 = 0. What is p?
-1971
Let -3*w**5 + 6*w**4 + 9*w**3 - 24*w**2 + 12*w = 0. What is w?
-2, 0, 1, 2
Suppose 2*n**5 - 44*n**4 + 154*n**3 - 184*n**2 + 72*n = 0. Calculate n.
0, 1, 2, 18
Factor -i**3/4 + i**2 + 21*i/4.
-i*(i - 7)*(i + 3)/4
Suppose -22*a**2/3 + 248*a/3 - 22 = 0. What is a?
3/11, 11
Factor -339*h**2 - 336*h + 3.
-3*(h + 1)*(113*h - 1)
Determine h, given that h**3 + 39*h**2 + 507*h + 2197 = 0.
-13
Determine z, given that 3*z**5 + 6*z**4 - 18*z**3 - 60*z**2 - 57*z - 18 = 0.
-2, -1, 3
Factor q**4 - 5*q**3 + 3*q**2 + 9*q.
q*(q - 3)**2*(q + 1)
Factor -5*i**4 + 85*i**3 - 530*i**2 + 1440*i - 1440.
-5*(i - 6)*(i - 4)**2*(i - 3)
Factor q**4 + 104*q**3 - 318*q**2 + 320*q - 107.
(q - 1)**3*(q + 107)
Solve d**2/2 + 46*d + 1058 = 0.
-46
Factor x**4/8 + 249*x**3/8 + 983*x**2/8 + 735*x/8.
x*(x + 1)*(x + 3)*(x + 245)/8
Find n such that -7*n**5/4 + 29*n**4/2 + 27*n**3/2 - 19*n**2 - 47*n/4 + 9/2 = 0.
-1, 2/7, 1, 9
Let b**3 + 13*b**2 - 14*b = 0. What is b?
-14, 0, 1
Factor -5*u**3 - 35*u**2 + 205*u - 165.
-5*(u - 3)*(u - 1)*(u + 11)
Determine w, given that -22*w**3 - 218*w**2 + 20*w = 0.
-10, 0, 1/11
Determine b, given that -4*b**5 - 44*b**4 - 140*b**3 - 100*b**2 + 144*b + 144 = 0.
-6, -3, -2, -1, 1
Factor 3*n**3