 + 128)
Let 2*m**2/7 + 2152*m/7 + 578888/7 = 0. Calculate m.
-538
Factor 3*z**2 - 7710*z + 4953675.
3*(z - 1285)**2
Factor -2*d**2/3 + 110*d/3 + 112/3.
-2*(d - 56)*(d + 1)/3
Find n, given that -5*n**4 - 1375*n**3 - 96540*n**2 - 272000*n + 369920 = 0.
-136, -4, 1
Factor 5*h**5/4 + 545*h**4 + 158775*h**3/2 + 3889625*h**2 + 15243125*h/4.
5*h*(h + 1)*(h + 145)**3/4
Factor -2*i**3 + 22*i**2 - 76*i + 80.
-2*(i - 5)*(i - 4)*(i - 2)
Factor y**5/5 - 27*y**4/5 + 189*y**3/5 - 513*y**2/5 + 486*y/5.
y*(y - 18)*(y - 3)**3/5
Factor -18*j**3 - 30*j**2 + 4*j + 16.
-2*(j + 1)*(3*j - 2)*(3*j + 4)
Let z**4 - 7*z**3 - 43*z**2 - 17*z + 66 = 0. What is z?
-3, -2, 1, 11
Find k such that -15*k**3 - 171*k**2 - 432*k + 324 = 0.
-6, 3/5
Solve -2*d**5/13 - 16*d**4/13 + 20*d**3/13 + 16*d**2/13 - 18*d/13 = 0.
-9, -1, 0, 1
Factor -p**2 - 641*p + 642.
-(p - 1)*(p + 642)
Suppose 2*a**5/3 + 5*a**4 - 112*a**3/3 - 196*a**2 + 1856*a/3 - 256 = 0. What is a?
-8, 1/2, 2, 6
Factor -5*v**5 + 30*v**4 + 20*v**3 - 170*v**2 - 255*v - 100.
-5*(v - 5)*(v - 4)*(v + 1)**3
Suppose -2*h**2 - 49*h - 24 = 0. Calculate h.
-24, -1/2
Factor -2*y**4 - 2*y**3 + 4*y**2.
-2*y**2*(y - 1)*(y + 2)
Suppose -4*w**4 - 36*w**3 + 56*w**2 + 144*w - 160 = 0. Calculate w.
-10, -2, 1, 2
Suppose -148*z**2/3 - 8*z = 0. What is z?
-6/37, 0
Factor -3*r**3 + 3789*r**2.
-3*r**2*(r - 1263)
Let -2*d**5 - 16*d**4 - 40*d**3 - 20*d**2 + 42*d + 36 = 0. Calculate d.
-3, -2, -1, 1
Solve 5*o**3/2 - 145*o**2 + 565*o/2 - 140 = 0 for o.
1, 56
Determine q so that -q**3/2 + q**2/2 + 3*q = 0.
-2, 0, 3
Solve z**3 + 249*z**2 + 15120*z - 47628 = 0.
-126, 3
Solve o**2/4 + 255*o/2 = 0 for o.
-510, 0
Let -4*u**2 - 11760*u - 11756 = 0. What is u?
-2939, -1
Factor 4*w**4 - 124*w**3 - 692*w**2 - 996*w - 432.
4*(w - 36)*(w + 1)**2*(w + 3)
Find k such that -k**4/7 + 12*k**3/7 - 27*k**2/7 = 0.
0, 3, 9
Suppose -2*r**2 - 586*r = 0. Calculate r.
-293, 0
Find l, given that -4*l**3 - 190*l**2 + 298*l + 196 = 0.
-49, -1/2, 2
Suppose z**4/5 - 4*z**3/5 - z**2 = 0. Calculate z.
-1, 0, 5
Determine a, given that -5*a**4 - 15*a**3 + 25*a**2 + 15*a - 20 = 0.
-4, -1, 1
Let z**4/3 - 13*z**3/3 + 56*z**2/3 - 80*z/3 = 0. What is z?
0, 4, 5
Let j**3 - 42*j**2 - 145*j + 450 = 0. What is j?
-5, 2, 45
Factor 3*p**4 - 438*p**3 + 15987*p**2.
3*p**2*(p - 73)**2
Suppose -v**4 - 6*v**3 - 11*v**2 - 6*v = 0. Calculate v.
-3, -2, -1, 0
Determine a so that a**2/6 + a/6 - 1/3 = 0.
-2, 1
Factor -2*s**4 - 54*s**3 - 432*s**2 - 1376*s - 1536.
-2*(s + 3)*(s + 4)**2*(s + 16)
Determine l so that -l**2 + 5586*l - 7800849 = 0.
2793
Solve -5*t**3 + 960*t**2 - 43065*t - 294030 = 0 for t.
-6, 99
Suppose 2*y**3 + 36*y**2 - 2*y - 36 = 0. Calculate y.
-18, -1, 1
Factor -3*k**2 + 180*k + 1863.
-3*(k - 69)*(k + 9)
Solve 5*l**2 + 10*l - 75 = 0.
-5, 3
Solve -16*q**3 - 156*q**2 + 40*q = 0.
-10, 0, 1/4
Suppose -4*h**2/3 + 148*h + 904/3 = 0. Calculate h.
-2, 113
Factor -w**3/5 - 62*w**2/5 - 961*w/5.
-w*(w + 31)**2/5
Factor 6*v**5/7 - 6*v**4/7 - 36*v**3/7 - 12*v**2/7 + 30*v/7 + 18/7.
6*(v - 3)*(v - 1)*(v + 1)**3/7
Factor -s**3/5 - 463*s**2/5.
-s**2*(s + 463)/5
Factor 2*i**4/9 - 82*i**3/9 + 266*i**2/3 + 98*i.
2*i*(i - 21)**2*(i + 1)/9
Factor 2*q**3/9 - 24*q**2 + 832*q/9.
2*q*(q - 104)*(q - 4)/9
Factor v**4/6 + 5*v**3/6 - v**2/2 - 17*v/6 - 5/3.
(v - 2)*(v + 1)**2*(v + 5)/6
Factor -k**5 - 2*k**4 + 19*k**3 + 20*k**2.
-k**2*(k - 4)*(k + 1)*(k + 5)
Factor 2*f**2 - 616*f + 47432.
2*(f - 154)**2
Suppose 2*l**3/11 - 10*l**2/11 + 4*l/11 + 16/11 = 0. Calculate l.
-1, 2, 4
Solve 3*x**4 + 48*x**3/7 - 387*x**2/7 - 534*x/7 - 120/7 = 0 for x.
-5, -1, -2/7, 4
What is k in -k**2/3 - 1574*k - 1858107 = 0?
-2361
Factor 2*r**3/7 - 38*r**2/7 - 82*r/7 - 6.
2*(r - 21)*(r + 1)**2/7
What is i in -4*i**4 + 48*i**3 - 52*i**2 - 264*i - 160 = 0?
-1, 4, 10
Factor o**5/3 - 8*o**4/3 + 20*o**3/3 - 16*o**2/3.
o**2*(o - 4)*(o - 2)**2/3
Determine v, given that v**4 - 7*v**3 + 15*v**2 - 13*v + 4 = 0.
1, 4
Find f such that 15*f**5/7 + 12*f**4/7 - 48*f**3/7 - 66*f**2/7 - 15*f/7 + 6/7 = 0.
-1, 1/5, 2
Factor -2*l**3/13 - 28*l**2/13 - 110*l/13 - 84/13.
-2*(l + 1)*(l + 6)*(l + 7)/13
Let 5*h**4 + 67*h**3 - 119*h**2 + 17*h + 30 = 0. What is h?
-15, -2/5, 1
Factor 27*k**3 + 123*k**2 + 116*k + 20.
(k + 1)*(3*k + 10)*(9*k + 2)
Factor -3*t**2 + 438*t - 15987.
-3*(t - 73)**2
Suppose -3*d**2/2 - 27*d - 48 = 0. What is d?
-16, -2
Find p such that -2*p**5/13 - 2*p**4/13 + 16*p**3/13 + 16*p**2/13 - 32*p/13 - 32/13 = 0.
-2, -1, 2
Solve 2*a**5/3 + 52*a**4/3 + 484*a**3/3 + 1928*a**2/3 + 1038*a + 540 = 0.
-9, -5, -2, -1
Solve -39*z**4 + 345*z**3 - 999*z**2 + 891*z + 162 = 0 for z.
-2/13, 3
Find p such that -2*p**2 + 12*p = 0.
0, 6
Solve 4*r**3 - 1400*r**2 + 122500*r = 0.
0, 175
Solve -2*y**2 - 76*y + 430 = 0 for y.
-43, 5
Suppose -4*z**5/7 + 148*z**4/7 - 544*z**3/7 + 528*z**2/7 = 0. What is z?
0, 2, 33
Solve 2*c**3 - 74*c**2 + 68*c + 144 = 0.
-1, 2, 36
Factor -3*h**3/7 + 108*h**2/7 + 228*h/7.
-3*h*(h - 38)*(h + 2)/7
Let 2*d**5/19 - 88*d**4/19 + 216*d**3/19 + 1196*d**2/19 + 1382*d/19 + 492/19 = 0. Calculate d.
-1, 6, 41
Solve 2*p**2/5 + 606*p/5 + 1204/5 = 0 for p.
-301, -2
What is a in 4*a**4 + 4*a**3 - 740*a**2 + 1452*a - 720 = 0?
-15, 1, 12
Factor 3*k**3 + 96*k**2 - 99*k.
3*k*(k - 1)*(k + 33)
Let l**4/3 - 23*l**3/3 + 29*l**2 + 611*l/3 - 676/3 = 0. What is l?
-4, 1, 13
Factor 4*x**5 - 16*x**3 + 8*x**2 + 12*x - 8.
4*(x - 1)**3*(x + 1)*(x + 2)
Factor -16*k**4 - 3080*k**3 + 1543*k**2 - 193*k.
-k*(k + 193)*(4*k - 1)**2
Suppose 2*k**3 + 22*k**2 + 20*k = 0. What is k?
-10, -1, 0
Factor -2*v**3/15 - 4*v**2/3 - 8*v/5 + 48/5.
-2*(v - 2)*(v + 6)**2/15
Factor -2*i**3 + 30*i**2 - 136*i + 168.
-2*(i - 7)*(i - 6)*(i - 2)
Solve -k**5/3 + 4*k**4/3 + 3*k**3 - 32*k**2/3 - 28*k/3 + 16 = 0 for k.
-2, 1, 3, 4
Factor 2*k**2 - 12*k + 18.
2*(k - 3)**2
Determine m so that 9*m**4/8 - 3*m**3 + 3*m**2/2 = 0.
0, 2/3, 2
Factor -7479723*n**3/4 + 7460775*n**2/4 + 4734*n + 3.
-3*(n - 1)*(1579*n + 2)**2/4
Factor g**5/4 - 5*g**4/4 + 9*g**3/4 - 7*g**2/4 + g/2.
g*(g - 2)*(g - 1)**3/4
Let 1528*a**2 - 7638*a - 10 = 0. Calculate a.
-1/764, 5
Suppose 1215*m**5/2 + 297*m**4/2 - 576*m**3 - 228*m**2 + 40*m + 8 = 0. Calculate m.
-2/3, -2/15, 2/9, 1
Suppose -13*p**5 + 114*p**4 - 275*p**3 + 46*p**2 + 288*p - 160 = 0. What is p?
-1, 10/13, 1, 4
Factor -3*g**2 - 24*g.
-3*g*(g + 8)
Find k, given that 2*k**4 - 22*k**3 + 184*k + 160 = 0.
-2, -1, 4, 10
Suppose 54*h**5/7 + 1170*h**4/7 + 870*h**3 - 3210*h**2/7 - 5280*h/7 + 2904/7 = 0. What is h?
-11, -1, 2/3
Find r such that -r**5/2 + 181*r**4/2 - 179*r**3/2 - 181*r**2/2 + 90*r = 0.
-1, 0, 1, 180
Factor -u**2/3 - 2054*u/3 - 1054729/3.
-(u + 1027)**2/3
Factor 3*f**4/2 - 33*f**3/2 + 51*f**2 - 36*f.
3*f*(f - 6)*(f - 4)*(f - 1)/2
Find p such that -2*p**5/15 + 4*p**4/15 + 2*p**3/5 - 8*p**2/15 - 8*p/15 = 0.
-1, 0, 2
Solve -2*i**5/13 - 22*i**4/13 + 4*i**3/13 + 232*i**2/13 - 112*i/13 - 320/13 = 0.
-10, -4, -1, 2
Suppose f**2 - 99*f + 194 = 0. Calculate f.
2, 97
Let 13*a**4/4 + 27*a**3/2 + 47*a**2/4 + 3*a/2 = 0. Calculate a.
-3, -1, -2/13, 0
Let 5*q**4/2 + 60*q**3 + 510*q**2 + 1760*q + 1920 = 0. Calculate q.
-8, -6, -2
Solve i**5/6 + 7*i**4/2 + 20*i**3 + 50*i**2/3 = 0 for i.
-10, -1, 0
Let -2*l**4/13 - 12*l**3/13 + 64*l/13 = 0. Calculate l.
-4, 0, 2
Factor -2*w**2/3 + 934*w/3.
-2*w*(w - 467)/3
Let -m**2 - 57*m = 0. What is m?
-57, 0
Factor b**5 - 20*b**4 + 51*b**3.
b**3*(b - 17)*(b - 3)
Find a such that 2*a**2/5 + 744*a/5 = 0.
-372, 0
What is u in 4*u**5 - 20*u**4 + 24*u**3 + 8*u**2 - 28*u + 12 = 0?
-1, 1, 3
Suppose -3*l**2 - 45*l - 78 = 0. What is l?
-13, -2
What is i in -4*i**5 + 56*i**4 + 112*i**3 - 1688*i**2 - 5484*i - 3744 = 0?
-3, -1, 8, 13
Factor y**3/8 + 115*y**2/4 + 683*y/8 + 227/4.
(y + 1)*(y + 2)*(y + 227)/8
Solve 3*o**3 - 174*o**2 - 1548*o - 2376 = 0.
-6, -2, 66
Factor 2*p**2 + 1820*p + 414050.
2*(p + 455)**2
Determine y so that y**3/3 - 11*y**2/3 + 10*y/3 = 0.
0, 1, 10
Factor 10*r**2/3 - 295*r/3 - 50.
5*(r - 30)*(2*r + 1)/3
Factor 2*v**4/9 - 10*v**3/9 + 2*v**2/3 + 10*v/9 - 8/9.
2*(v - 4)*(v - 1)**2*(v + 1)/9
Factor -m**5 - 3*m**4 + 10*m**3 - 2*m**2 - 9*m + 5.
-(m - 1)**3*(m + 1)*(m + 5)
Solve -10*s**5/3 - 18*s**4 - 50*s**3/3 + 38*s**2/3 + 20*s + 16/3 = 0 for s.
-4, -1, -2/5, 1
Factor 5*w**4 + 1180*w**3 - 8430*w**2 + 18180*w - 10935.
5*(w - 3)**2*(w - 1)*(