*(t + 1)/7
Find w such that -2*w**4/3 + 34*w**3/3 + 92*w**2 = 0.
-6, 0, 23
Factor 10*h**3 - 206*h**2 + 116*h + 80.
2*(h - 20)*(h - 1)*(5*h + 2)
Factor -3*b**3/7 - 36*b**2/7 + 135*b/7.
-3*b*(b - 3)*(b + 15)/7
Find t, given that 4*t**3 - 92*t**2 - 676*t - 580 = 0.
-5, -1, 29
Factor -2*k**3/3 + 32*k**2/3 - 10*k.
-2*k*(k - 15)*(k - 1)/3
Solve -x**4/2 - 499*x**3/2 - 59425*x**2/2 + 710175*x/2 - 325125 = 0.
-255, 1, 10
Find z, given that -5*z**5 + 40*z**4 - 110*z**3 + 120*z**2 - 45*z = 0.
0, 1, 3
Factor s**3 + 1125*s**2 + 421875*s + 52734375.
(s + 375)**3
Solve 15*v**3 - 800*v**2 - 545*v + 270 = 0.
-1, 1/3, 54
Factor t**3/4 - 21*t**2/4 + 18*t - 17.
(t - 17)*(t - 2)**2/4
Find p such that 15*p**4/8 + 2*p**3 - 149*p**2/8 + 55*p/4 + 1 = 0.
-4, -1/15, 1, 2
Suppose d**3/3 + 113*d**2/3 + 223*d/3 + 37 = 0. Calculate d.
-111, -1
Factor h**3 + 5*h**2 - 17*h - 21.
(h - 3)*(h + 1)*(h + 7)
Solve -9*k**5 - 34*k**4 - 19*k**3 + 42*k**2 + 28*k - 8 = 0.
-2, -1, 2/9, 1
Factor 3*l**2/2 - 9*l.
3*l*(l - 6)/2
Factor 12*v**3 + 246*v**2 + 6723*v/4 + 15309/4.
3*(v + 7)*(4*v + 27)**2/4
Solve -2*l**2 + 156*l - 3042 = 0.
39
Factor 3*w**3/2 - 9*w**2/2 - 9*w + 12.
3*(w - 4)*(w - 1)*(w + 2)/2
Factor -16*v**5 + 11896*v**4 - 2946241*v**3 + 242572520*v**2 + 121839424*v + 15252992.
-(v - 248)**3*(4*v + 1)**2
Determine u so that -u**3 - 52*u**2 + 107*u - 54 = 0.
-54, 1
Determine f so that -15*f**5 + 39*f**4 + 213*f**3 - 147*f**2 - 90*f = 0.
-3, -2/5, 0, 1, 5
Let 3*y**3/4 + 9*y**2/2 + 15*y/4 = 0. What is y?
-5, -1, 0
Suppose 4*a**3 - 36*a**2 - 1648*a - 3120 = 0. Calculate a.
-15, -2, 26
Suppose 16*j**3/3 - 428*j**2/3 + 308*j/3 + 104/3 = 0. What is j?
-1/4, 1, 26
Find m such that m**4 + 76*m**3 + 293*m**2 + 362*m + 144 = 0.
-72, -2, -1
Factor -7*a**4 + 36*a**3 - 47*a**2 + 6*a.
-a*(a - 3)*(a - 2)*(7*a - 1)
Suppose -g**2/9 + 224*g/9 + 460/3 = 0. Calculate g.
-6, 230
Find i, given that i**5/2 - 2*i**3 + i**2 + 3*i/2 - 1 = 0.
-2, -1, 1
Solve -t**2 + 1434*t - 514089 = 0.
717
Determine b so that 2*b**5/3 - 68*b**4/3 + 506*b**3/3 + 408*b**2 + 216*b = 0.
-1, 0, 18
What is a in a**2/3 + 2*a + 3 = 0?
-3
Factor 35*m**2 - 800*m - 115.
5*(m - 23)*(7*m + 1)
Solve 2*h**4/21 - 38*h**3/21 - 2*h**2/7 + 110*h/21 + 76/21 = 0 for h.
-1, 2, 19
Factor 2*b**4/5 - 34*b**3 + 3526*b**2/5 + 3698*b/5.
2*b*(b - 43)**2*(b + 1)/5
Factor 4*w**2/9 + 124*w/3.
4*w*(w + 93)/9
Determine o, given that 2*o**4 + 368*o**3 - 1118*o**2 + 748*o = 0.
-187, 0, 1, 2
Factor 2*b**2/5 - 10*b + 92/5.
2*(b - 23)*(b - 2)/5
Factor 5*z**2 + 375*z - 380.
5*(z - 1)*(z + 76)
Let 5*v**3 + 85*v**2 = 0. What is v?
-17, 0
Factor -2*v**4/11 - 1344*v**3/11 - 225792*v**2/11.
-2*v**2*(v + 336)**2/11
Find a such that -a**5 - 99*a**4 - 2494*a**3 - 1914*a**2 + 11711*a - 7203 = 0.
-49, -3, 1
Factor -3*b**2 - 177*b - 174.
-3*(b + 1)*(b + 58)
Factor 2*k**2 - 6*k - 476.
2*(k - 17)*(k + 14)
Factor 4*b**2/5 - 32*b/5 + 28/5.
4*(b - 7)*(b - 1)/5
Factor 4*u**2 + 48*u - 52.
4*(u - 1)*(u + 13)
Solve 2*f**2 + 66*f/13 - 36/13 = 0.
-3, 6/13
Solve 75*p**5/4 + 1755*p**4/4 + 6693*p**3/4 + 8169*p**2/4 + 630*p + 57 = 0.
-19, -2, -1/5
Factor -c**5 + 8*c**4 + 2*c**3 - 124*c**2 + 215*c - 100.
-(c - 5)**2*(c - 1)**2*(c + 4)
Factor 2*x**3 + 26*x**2.
2*x**2*(x + 13)
Factor -c**2/8 - 49*c/8 - 6.
-(c + 1)*(c + 48)/8
Solve 35*z**3 - 11015*z**2 - 3150*z = 0 for z.
-2/7, 0, 315
Factor i**5 + 8*i**4 + 21*i**3 + 22*i**2 + 8*i.
i*(i + 1)**2*(i + 2)*(i + 4)
Determine v so that -3*v**5/2 - 3*v**4/2 + 27*v**3/2 - 33*v**2/2 + 6*v = 0.
-4, 0, 1
Factor -2*a**4 + 132*a**3 - 2304*a**2 + 4096*a.
-2*a*(a - 32)**2*(a - 2)
Factor -2*l**3/3 + 172*l**2.
-2*l**2*(l - 258)/3
Find z such that z**2/3 - z/3 - 2/3 = 0.
-1, 2
Factor -2*x**3/5 + 14*x**2/5 + 8*x/5 - 56/5.
-2*(x - 7)*(x - 2)*(x + 2)/5
Factor 3*k**4/4 + 41*k**3/2 - 147*k**2/4 - 29*k/2.
k*(k - 2)*(k + 29)*(3*k + 1)/4
Factor 2*j**2/17 - 2536*j/17 + 2534/17.
2*(j - 1267)*(j - 1)/17
Factor 2*s**3/15 - 70*s**2/3 + 116*s/5.
2*s*(s - 174)*(s - 1)/15
Suppose -2*j**5 + 2*j**4 + 24*j**3 - 56*j**2 + 32*j = 0. What is j?
-4, 0, 1, 2
Solve 2*q**2 - 90*q + 1008 = 0 for q.
21, 24
Determine u so that 2*u**4/3 + 56*u**3/3 + 106*u**2/3 + 52*u/3 = 0.
-26, -1, 0
Factor -4*p**5 - 36*p**4 + 28*p**3 + 820*p**2 + 600*p - 4000.
-4*(p - 4)*(p - 2)*(p + 5)**3
Factor 14*w**2/3 - 22*w + 40/3.
2*(w - 4)*(7*w - 5)/3
Factor -2*j**3/5 + 2622*j**2/5 - 5238*j/5 + 2618/5.
-2*(j - 1309)*(j - 1)**2/5
Factor 2*j**3 - 844*j**2 - 2*j + 844.
2*(j - 422)*(j - 1)*(j + 1)
Factor -4*o**2 - 9316*o.
-4*o*(o + 2329)
Factor 810*g**3 + 4680*g**2 + 6545*g/2 + 1225/2.
5*(g + 5)*(18*g + 7)**2/2
Let -4*n**5 - 8*n**4 + 36*n**3 + 8*n**2 - 32*n = 0. Calculate n.
-4, -1, 0, 1, 2
Determine l so that 15*l**4 + 24*l**3 - 27*l**2 - 24*l + 12 = 0.
-2, -1, 2/5, 1
Factor 5*t**4 + 885*t**3 + 2625*t**2 + 2615*t + 870.
5*(t + 1)**3*(t + 174)
What is y in -2*y**3/3 - 84*y**2 - 2070*y + 38088 = 0?
-69, 12
What is h in -98*h**3/5 + 46508*h**2/5 - 26552*h/5 + 3792/5 = 0?
2/7, 474
What is h in -12*h**5 + 141*h**4 + 36*h**3 = 0?
-1/4, 0, 12
Suppose -n**5/8 + 9*n**4/8 + 13*n**3/8 - 29*n**2/8 - 3*n/2 + 5/2 = 0. Calculate n.
-2, -1, 1, 10
Solve 27*i**4 - 5418*i**3 + 289263*i**2 - 1751820*i + 2822700 = 0 for i.
10/3, 97
Solve z**4/7 + 297*z**3/7 - 299*z**2/7 - 297*z/7 + 298/7 = 0 for z.
-298, -1, 1
Factor -2*b**2/11 + 128*b/11.
-2*b*(b - 64)/11
Factor -5*x**5 + 940*x**4 - 43225*x**3 - 90250*x**2.
-5*x**2*(x - 95)**2*(x + 2)
Factor 95*w**4 + 180*w**3 - 20*w**2.
5*w**2*(w + 2)*(19*w - 2)
Factor -16807*o**3 + 37044*o**2 - 27216*o + 46656/7.
-(49*o - 36)**3/7
Factor -5*b**2/4 - 55*b - 615/4.
-5*(b + 3)*(b + 41)/4
Factor -l**3/6 - 13*l**2/6 - 7*l.
-l*(l + 6)*(l + 7)/6
What is w in -12*w**5 + 99*w**4 - 228*w**3 + 171*w**2 - 30*w = 0?
0, 1/4, 1, 2, 5
Let l**4 + 25*l**3 = 0. Calculate l.
-25, 0
Find x, given that 3*x**5 - 75*x**4 + 201*x**3 - 57*x**2 - 204*x + 132 = 0.
-1, 1, 2, 22
Factor -2*r**2/5 + 43*r/10 + 11/10.
-(r - 11)*(4*r + 1)/10
Factor -t**4 - 12*t**3 - 17*t**2 + 30*t.
-t*(t - 1)*(t + 3)*(t + 10)
What is w in -5*w**3 - 280*w**2 + 5*w + 280 = 0?
-56, -1, 1
Factor 5*n**2 + 7850*n + 3081125.
5*(n + 785)**2
Factor 2*b**3 + 20*b**2 + 18*b.
2*b*(b + 1)*(b + 9)
Let 5*w**5 + 355*w**4 + 5750*w**3 - 19430*w**2 + 20165*w - 6845 = 0. What is w?
-37, 1
Let -9*k**2 + 822*k - 273 = 0. What is k?
1/3, 91
What is p in -p**3/5 + 8*p**2/5 + 9*p + 36/5 = 0?
-3, -1, 12
Factor -4*o**2 + 1144*o - 81796.
-4*(o - 143)**2
What is y in -11*y**3/3 + 14*y**2/3 - y = 0?
0, 3/11, 1
Factor -1431644*g**4 - 181476*g**3 - 7668*g**2 - 108*g.
-4*g*(71*g + 3)**3
Suppose 4*n**3 - 56*n**2 - 4*n + 56 = 0. What is n?
-1, 1, 14
Factor c**2/3 + 18*c + 728/3.
(c + 26)*(c + 28)/3
Factor -15*q**2 - 115*q + 40.
-5*(q + 8)*(3*q - 1)
Factor 6*o**3 + 15*o**2 + 6*o.
3*o*(o + 2)*(2*o + 1)
Solve -9*k**4 - 48*k**3 + 147*k**2 + 702*k + 216 = 0.
-6, -3, -1/3, 4
Factor -4*x**2 + 16120*x.
-4*x*(x - 4030)
Factor -3*z**4 + 648*z**3 - 5040*z**2 + 9984*z.
-3*z*(z - 208)*(z - 4)**2
Suppose -5*t**3 - 5*t**2 + 50*t - 40 = 0. What is t?
-4, 1, 2
Factor -5*u**4 - 5*u**3 + 10*u**2.
-5*u**2*(u - 1)*(u + 2)
Factor m**3/4 - 15*m**2/4 + 9*m/2 + 54.
(m - 12)*(m - 6)*(m + 3)/4
Determine v so that -871*v**3/6 + 872*v**2/3 - 875*v/6 + 1/3 = 0.
2/871, 1
Let -3*g**4 + 15*g**3 + 39*g**2 + 21*g = 0. Calculate g.
-1, 0, 7
Let 28*w**5/5 + 216*w**4/5 - 64*w**3/5 = 0. What is w?
-8, 0, 2/7
Suppose -3*t**2/8 - 513*t/4 + 1029/8 = 0. Calculate t.
-343, 1
What is n in -3*n**4 + 610*n**3 - 1409*n**2 + 402*n = 0?
0, 1/3, 2, 201
Factor -3*m**4 - 132*m**3 + 423*m**2 - 12*m - 564.
-3*(m - 2)**2*(m + 1)*(m + 47)
Suppose 36*p**3 - 2656*p**2 + 48692*p + 10952 = 0. Calculate p.
-2/9, 37
Factor -2*v**2 + 72*v - 136.
-2*(v - 34)*(v - 2)
Factor p**4/5 - 8*p**3/5 + 22*p**2/5 - 24*p/5 + 9/5.
(p - 3)**2*(p - 1)**2/5
Let -2*o**3/5 + 28*o**2/5 - 64*o/5 - 256/5 = 0. Calculate o.
-2, 8
Suppose -5*n**4 - 10*n**3 + 155*n**2 + 160*n - 300 = 0. What is n?
-6, -2, 1, 5
Factor -5*s**2 + 540*s - 14580.
-5*(s - 54)**2
Factor 3*n**4 - 3*n**3 - 15*n**2 - 9*n.
3*n*(n - 3)*(n + 1)**2
Solve -5*p**4 - 40*p**3 + 520*p**2 + 2400*p - 18000 = 0.
-10, 6
Factor n**5 - 47*n**4 - 49*n**3 + 47*n**2 + 48*n.
n*(n - 48)*(n - 1)*(n + 1)**2
Factor 3*s**2/7 + 120*s/7 - 36.
3*(s - 2)*(s + 42)/7
Let -12*x**5 + 206*x**4/3 + 64*x**3/3 - 392*x**2 - 320*x/3