l**4/8 - 24*l**3 - 127*l**2/2 + 88*l + 288 = 0.
-18, -8/3, 2
Find h, given that 2*h**4/3 - 265*h**3/6 - 677*h**2/3 + 355*h/6 = 0.
-5, 0, 1/4, 71
Factor x**3/6 + 3*x**2/2.
x**2*(x + 9)/6
Find u, given that -2*u**2 - 20*u + 462 = 0.
-21, 11
Solve -3*p**4/4 - 2763*p**3/4 + 5535*p**2/4 - 2769*p/4 = 0.
-923, 0, 1
Suppose f**2/5 + 43*f/5 = 0. Calculate f.
-43, 0
Solve -2*g**4/5 + 98*g**3/5 - 432*g**2/5 - 392*g/5 + 352 = 0.
-2, 2, 5, 44
Factor -2*z**4/21 + 118*z**3/21 + 40*z**2/7.
-2*z**2*(z - 60)*(z + 1)/21
Solve 2*u**4 - 12*u**3 - 14*u**2 = 0.
-1, 0, 7
Determine n so that -2*n**5 + 6*n**4 + 2*n**3 - 22*n**2 + 24*n - 8 = 0.
-2, 1, 2
Suppose -5*d**5 - 10*d**4 + 10*d**3 + 40*d**2 + 35*d + 10 = 0. What is d?
-1, 2
Factor -m**3/10 + 333*m**2/10 - 14268*m/5 + 13448.
-(m - 164)**2*(m - 5)/10
Factor z**2/2 + 51*z/2 - 171.
(z - 6)*(z + 57)/2
Factor t**4/3 + 4*t**3/3 - 19*t**2/3 - 46*t/3 - 8.
(t - 4)*(t + 1)**2*(t + 6)/3
Let -39*w**4 - 213*w**3 - 402*w**2 - 300*w - 72 = 0. What is w?
-2, -1, -6/13
Solve -2*s**3 + 48*s**2 + 158*s + 108 = 0 for s.
-2, -1, 27
Find s, given that -s**3/9 + 256*s**2/9 - 988*s/3 + 976 = 0.
6, 244
Let 3*z**4/4 - 9*z**3/2 + 15*z**2/4 + 18*z - 27 = 0. Calculate z.
-2, 2, 3
Factor -j**2/2 + 32*j - 350.
-(j - 50)*(j - 14)/2
Factor 2*a**2/5 + 2*a.
2*a*(a + 5)/5
Solve -v**2/5 - 16*v/5 - 3 = 0.
-15, -1
What is q in 3*q**4/7 + 6*q**3/7 - 15*q**2/7 - 18*q/7 = 0?
-3, -1, 0, 2
Let -2*x**2/3 - 74*x/3 - 24 = 0. What is x?
-36, -1
Factor -14*f**2/11 - 4*f + 48/11.
-2*(f + 4)*(7*f - 6)/11
Factor -w**5/4 + 9*w**4/4 + 21*w**3/4 + 11*w**2/4.
-w**2*(w - 11)*(w + 1)**2/4
Factor -2*y**5/5 + 1774*y**4/5 - 589632*y**3/5 + 86936976*y**2/5 - 4770296928*y/5 - 4857825312/5.
-2*(y - 222)**4*(y + 1)/5
Factor g**4 - 37*g**3 + 252*g**2 - 596*g + 464.
(g - 29)*(g - 4)*(g - 2)**2
Factor 2*t**5/15 - 2*t**4/15 - 4*t**3/5.
2*t**3*(t - 3)*(t + 2)/15
What is j in -2*j**2/21 - 66*j/7 + 200/21 = 0?
-100, 1
Solve -4410450*w**2 - 11880*w - 8 = 0.
-2/1485
Factor 2*d**2/11 - 2840*d/11 + 11328/11.
2*(d - 1416)*(d - 4)/11
What is y in 3*y**3/5 - 81*y**2/5 = 0?
0, 27
Factor 2*j**2/7 + 6*j.
2*j*(j + 21)/7
Factor -2*m**3/5 + 2*m**2/5 + 24*m/5.
-2*m*(m - 4)*(m + 3)/5
Let 100*x**4 + 20*x**3 - 4264*x**2 + 3376*x - 672 = 0. Calculate x.
-7, 2/5, 6
Factor 2*y**3/15 + 14*y**2/5.
2*y**2*(y + 21)/15
Factor 5*t**5 + 30*t**4 + 25*t**3.
5*t**3*(t + 1)*(t + 5)
Let -2*n**5 + 8*n**4 + 22*n**3 - 60*n**2 = 0. What is n?
-3, 0, 2, 5
Find g, given that -2*g**4/13 + 22*g**3/13 - 54*g**2/13 + 50*g/13 - 16/13 = 0.
1, 8
Determine z so that -4*z**4/7 - 4*z**3/7 + 36*z**2/7 - 44*z/7 + 16/7 = 0.
-4, 1
Let 22*k**4 + 1932*k**3 + 42240*k**2 - 7744*k = 0. What is k?
-44, 0, 2/11
Factor -35*x**3/3 - 80*x**2 - 105*x + 50/3.
-5*(x + 2)*(x + 5)*(7*x - 1)/3
Factor 4*k**4/3 - 124*k**3 + 2944*k**2 - 8464*k/3.
4*k*(k - 46)**2*(k - 1)/3
What is n in -n**3/6 - 25*n**2/6 - 25*n/2 + 375/2 = 0?
-15, 5
Factor 9*o**5 + 189*o**4 + 1380*o**3 + 11600*o**2/3 + 8000*o/3.
o*(o + 1)*(3*o + 20)**3/3
Factor -34*o**3/3 - 98*o**2/9 + 4*o/9.
-2*o*(o + 1)*(51*o - 2)/9
Solve -8*p**2/9 + 314*p/3 - 78 = 0 for p.
3/4, 117
Let m**4/2 - 17*m**3 + 33*m**2/2 = 0. Calculate m.
0, 1, 33
Let -4*s**4/17 - 150*s**3/17 + 644*s**2/17 - 822*s/17 + 332/17 = 0. What is s?
-83/2, 1, 2
What is a in 2*a**3/5 + 408*a**2/5 + 21978*a/5 + 117612/5 = 0?
-99, -6
Suppose -5*l**3 - 875*l**2 - 38715*l - 37845 = 0. What is l?
-87, -1
Factor -4*j**5/9 - 8*j**4/3 - 52*j**3/9 - 16*j**2/3 - 16*j/9.
-4*j*(j + 1)**2*(j + 2)**2/9
Suppose 3*y**3/4 + 3321*y**2/4 + 920745*y/4 + 917427/4 = 0. What is y?
-553, -1
Factor 4*p**4 - 84*p**3 + 556*p**2 - 924*p - 1568.
4*(p - 8)*(p - 7)**2*(p + 1)
Factor 5*t**4 + 155*t**3 + 1335*t**2 + 2225*t + 1040.
5*(t + 1)**2*(t + 13)*(t + 16)
Determine d so that -d**2/7 - 530*d/7 = 0.
-530, 0
Solve -2*z**2 - 10164*z - 12913362 = 0.
-2541
Factor l**3/2 + 13*l**2/2.
l**2*(l + 13)/2
Determine g, given that -g**5 - 75*g**4 - 146*g**3 = 0.
-73, -2, 0
Solve -2*w**2/9 + 880*w/9 = 0.
0, 440
Factor 2*n**4 - 884*n**3 - 2664*n**2 - 2668*n - 890.
2*(n - 445)*(n + 1)**3
Determine y, given that 2*y**2/5 + 886*y/5 - 2676/5 = 0.
-446, 3
What is b in -3*b**3 - 666*b**2 - 37620*b - 72600 = 0?
-110, -2
Suppose -d**5/2 + 5*d**4/2 + 4*d**3 - 22*d**2 - 16*d + 32 = 0. Calculate d.
-2, 1, 4
Suppose 5*q**5 - 95*q**4 + 85*q**3 + 95*q**2 - 90*q = 0. What is q?
-1, 0, 1, 18
Suppose -3*r**5/4 + 9*r**3/2 - 6*r**2 + 9*r/4 = 0. What is r?
-3, 0, 1
Determine z, given that 2*z**3/5 + 154*z**2/5 + 728*z/5 + 576/5 = 0.
-72, -4, -1
Let 2*y**3 + 8*y**2 - 22*y + 12 = 0. Calculate y.
-6, 1
Find a such that -2*a**2/3 - 90*a - 1792/3 = 0.
-128, -7
Solve -230*t**4 + 1384*t**3 - 2784*t**2 + 1888*t - 32 = 0.
2/115, 2
Factor -5*j**3/6 + 61*j**2/6 - 4*j/3 - 8.
-(j - 12)*(j - 1)*(5*j + 4)/6
Find u, given that 3*u**5 - 267*u**4 + 6072*u**3 - 5808*u**2 = 0.
0, 1, 44
Factor 2*p**4 + 10*p**3 - 42*p**2 + 46*p - 16.
2*(p - 1)**3*(p + 8)
Solve 2*s**4 + 2*s**3 - 6*s**2 - 2*s + 4 = 0 for s.
-2, -1, 1
Suppose 4*w**4 - 56*w**3/3 + 92*w**2/3 - 64*w/3 + 16/3 = 0. Calculate w.
2/3, 1, 2
Solve -5*t**3/2 + 346*t**2 - 818*t + 272 = 0 for t.
2/5, 2, 136
Factor -g**4 - 4143*g**3 + 8289*g**2 - 4145*g.
-g*(g - 1)**2*(g + 4145)
What is u in -u**2 + 166*u - 6889 = 0?
83
Find c such that -2*c**2 + 348*c - 15138 = 0.
87
Suppose 2*n**2/11 + 36*n/11 + 162/11 = 0. Calculate n.
-9
Factor 2*c**4/7 + 30*c**3/7 - 104*c**2/7 + 72*c/7.
2*c*(c - 2)*(c - 1)*(c + 18)/7
Factor h**3/9 - 835*h**2/9 + 58241*h/3 - 19321.
(h - 417)**2*(h - 1)/9
Suppose -4*w**5/9 + 16*w**4/3 + 236*w**3/9 + 104*w**2/3 + 128*w/9 = 0. Calculate w.
-2, -1, 0, 16
What is s in -s**4/8 - 7*s**3/8 - 9*s**2/8 + 7*s/8 + 5/4 = 0?
-5, -2, -1, 1
Factor -y**4/6 + 9*y**3/2 + 15*y**2 + 2*y/3 - 20.
-(y - 30)*(y - 1)*(y + 2)**2/6
Factor p**5/3 - 4*p**4/3 - 2*p**3 + 4*p**2/3 + 5*p/3.
p*(p - 5)*(p - 1)*(p + 1)**2/3
Let 40*q**4 - 100*q**3 - 30*q**2 + 65*q + 25 = 0. What is q?
-1/2, 1, 5/2
Factor -i**4/7 - 5*i**3/7 + 3*i**2/7 + 13*i/7 - 10/7.
-(i - 1)**2*(i + 2)*(i + 5)/7
Factor -2*x**3/17 + 2*x**2/17 + 8*x/17 - 8/17.
-2*(x - 2)*(x - 1)*(x + 2)/17
Factor -a**4 + 33*a**3 - 62*a**2.
-a**2*(a - 31)*(a - 2)
Factor 2*y**3/3 + 40*y**2/3 + 136*y/3 + 128/3.
2*(y + 2)**2*(y + 16)/3
Determine o so that -9*o**4/2 + 39*o**3 - 219*o**2/2 + 111*o - 36 = 0.
2/3, 1, 3, 4
Factor 2*h**2/9 + 2*h.
2*h*(h + 9)/9
Let -2*t**2/5 + 4*t + 78/5 = 0. What is t?
-3, 13
Determine z so that z**2 - 37*z + 36 = 0.
1, 36
Factor -5*r**4 - 15*r**3 + 25*r**2 + 15*r - 20.
-5*(r - 1)**2*(r + 1)*(r + 4)
Suppose -z**2/7 - 306*z/7 - 23409/7 = 0. Calculate z.
-153
Factor 6*z**2/7 + 71*z/7 - 12/7.
(z + 12)*(6*z - 1)/7
Factor -15*b**3/7 + b**2 + 20*b/7 - 12/7.
-(b - 1)*(3*b - 2)*(5*b + 6)/7
Determine s so that 27*s**2/5 + 681*s/5 + 30 = 0.
-25, -2/9
What is i in 2*i**3/3 - 22*i**2/3 - 112*i/3 - 40 = 0?
-2, 15
Suppose 4*i**2 + 40*i + 36 = 0. What is i?
-9, -1
Find u such that 56*u**5 - 68*u**4 - 360*u**3 + 100*u**2 + 224*u + 48 = 0.
-2, -1/2, -2/7, 1, 3
Suppose -f**3 - 10*f**2 + 24*f = 0. What is f?
-12, 0, 2
Factor d**2/4 - 6*d + 36.
(d - 12)**2/4
Factor -48*p**4 - 171*p**3 - 225*p**2 - 129*p - 27.
-3*(p + 1)**3*(16*p + 9)
Find u such that -3*u**5/2 + 27*u**4/2 - 15*u**3/2 - 195*u**2/2 + 9*u + 84 = 0.
-2, -1, 1, 4, 7
Suppose -5*r**2 - 7650*r - 2926125 = 0. What is r?
-765
Factor -17*j**2/8 - 15*j/8 + 1/4.
-(j + 1)*(17*j - 2)/8
Factor -6962*c**2/5 - 472*c/5 - 8/5.
-2*(59*c + 2)**2/5
Factor l**2/5 - 474*l/5 + 473/5.
(l - 473)*(l - 1)/5
Factor 2*m**3/19 + 132*m**2/19 + 504*m/19 - 63504/19.
2*(m - 18)*(m + 42)**2/19
Suppose -2*w**4/3 + 22*w**3/3 - 18*w**2 + 50*w/3 - 16/3 = 0. Calculate w.
1, 8
Determine x, given that 10*x**5 - 15*x**4 - 35*x**3 + 60*x**2 - 20*x = 0.
-2, 0, 1/2, 1, 2
What is v in 4*v**5 - 28*v**4 + 64*v**3 - 32*v**2 - 64*v + 64 = 0?
-1, 2
Factor -2*h**3 - 467*h**2/2 + 589*h/2 - 59.
-(h - 1)*(h + 118)*(4*h - 1)/2
Factor l**3 - 17*l**2 - 133*l - 115.
(l - 23)*(l + 1)*(l + 5)
Factor 3*w**4 + 5*w**3 - 23*w**2 + 19*w - 4.
(w - 1)**2*(w + 4)*(3*w - 1)
Let -15*r**3/4 - 1085*r**2/2 - 19800*r - 12960 = 0. What is r?
-72, -2/3
Find o, given that -o**4 - 12*o**3 + 43*o**2 - 30*o = 0.
-15, 0, 1, 2
Solve -4*a**5 - 744*a**4 - 34592*a**3 + 744*a**2 + 34596*a = 0.
-93, -1, 0, 1
Factor -4*b**4 - 220*b**3 - 1032*b**2 - 