 d, given that 3*d**2/4 - 1753*d/4 - 585/2 = 0.
-2/3, 585
Find d, given that 20*d**5 - 125*d**4 - 785*d**3 + 290*d**2 + 600*d = 0.
-4, -3/4, 0, 1, 10
Let -7*d**5/6 - 215*d**4/6 - 1583*d**3/6 - 3205*d**2/6 + 175*d = 0. Calculate d.
-21, -5, 0, 2/7
Determine g so that -g**3 - 8*g**2 + 29*g + 180 = 0.
-9, -4, 5
What is v in -5*v**5 + 1345*v**4 - 88415*v**3 - 273365*v**2 - 276080*v - 92480 = 0?
-1, 136
Determine v so that v**2/4 + 6*v + 23/4 = 0.
-23, -1
What is v in 3*v**5/7 + 3*v**4/7 - 6*v**3/7 = 0?
-2, 0, 1
Find j, given that -25*j**5 - 410*j**4 - 1135*j**3 - 290*j**2 + 1340*j + 520 = 0.
-13, -2, -2/5, 1
Suppose -k**5/4 + 11*k**4/8 + 19*k**3/4 + 2*k**2 = 0. Calculate k.
-2, -1/2, 0, 8
Suppose -40*r**4 + 50*r**3 + 255*r**2 - 340*r - 100 = 0. Calculate r.
-5/2, -1/4, 2
Determine a, given that 2*a**2/3 + 6*a - 20/3 = 0.
-10, 1
Factor -54*b**3 + 166*b**2 - 267*b/2 + 9.
-(2*b - 3)**2*(27*b - 2)/2
Factor 3*j**2/2 + 24*j.
3*j*(j + 16)/2
Find j, given that -j**4 + j**3 + 5*j**2 + 3*j = 0.
-1, 0, 3
Suppose -8*l**3 - 284*l**2 + 1080*l - 468 = 0. What is l?
-39, 1/2, 3
Factor 4*y**2 - 184*y + 2116.
4*(y - 23)**2
Factor -4*w**3/7 - 4*w**2/7 + 68*w/7 - 60/7.
-4*(w - 3)*(w - 1)*(w + 5)/7
Solve 5*u**3 - 115*u**2 - 540*u = 0 for u.
-4, 0, 27
Factor -g**3 - 17*g**2 - 96*g - 180.
-(g + 5)*(g + 6)**2
Factor -h**2/3 - 160*h/3 + 1169/3.
-(h - 7)*(h + 167)/3
Factor -n**3/2 - 21*n**2/2 - 99*n/2 + 121/2.
-(n - 1)*(n + 11)**2/2
Factor 2*j**3/13 - 1080*j**2/13.
2*j**2*(j - 540)/13
Factor -2*u**3 + 782*u**2 - 76830*u + 76050.
-2*(u - 195)**2*(u - 1)
Factor 4*i**2 + 608*i + 23104.
4*(i + 76)**2
Let 3*m**2/7 + 21012*m/7 + 36792012/7 = 0. What is m?
-3502
Factor -3*k**2 - 10002*k - 8336667.
-3*(k + 1667)**2
Find c, given that 4*c**2 - 16*c = 0.
0, 4
Factor -2*m**3/3 - 184*m**2 - 16928*m - 1557376/3.
-2*(m + 92)**3/3
What is i in 2*i**3/5 - 12*i**2 + 114*i/5 - 56/5 = 0?
1, 28
Factor -9*s**3 - 3*s**2 + 6*s.
-3*s*(s + 1)*(3*s - 2)
Factor -t**2/4 - 3*t/4 + 9/2.
-(t - 3)*(t + 6)/4
Factor r**2/2 + 12*r + 22.
(r + 2)*(r + 22)/2
Suppose 2*t**2/7 - 26*t/7 + 60/7 = 0. What is t?
3, 10
Find o such that -2*o**4/5 + 28*o**3/5 - 98*o**2/5 + 72*o/5 = 0.
0, 1, 4, 9
Suppose n**4/11 + 166*n**3/11 + 492*n**2/11 + 490*n/11 + 163/11 = 0. Calculate n.
-163, -1
Find x, given that x**5/3 - x**4 - 4*x**3 + 20*x**2/3 + 16*x = 0.
-2, 0, 3, 4
Factor 3*v**2/5 - 486*v/5 + 19683/5.
3*(v - 81)**2/5
Factor 5*w**4 + 765*w**3 + 3005*w**2 + 3735*w + 1490.
5*(w + 1)**2*(w + 2)*(w + 149)
Suppose -o**4/8 + 7*o**3/8 + 19*o**2/8 - 175*o/8 + 75/4 = 0. What is o?
-5, 1, 5, 6
Solve -3*w**4 + 228*w**3 - 3375*w**2 + 14094*w = 0.
0, 9, 58
Let -34*s**3 - 106*s**2 - 80*s - 8 = 0. What is s?
-2, -1, -2/17
Factor 4*z**5 + 36*z**4 - 12*z**3 - 116*z**2 - 72*z.
4*z*(z - 2)*(z + 1)**2*(z + 9)
Factor 5*w**4 - 120*w**3 - 155*w**2 + 750*w.
5*w*(w - 25)*(w - 2)*(w + 3)
Solve a**5 - 8*a**4 + 9*a**3 + 22*a**2 - 20*a - 24 = 0.
-1, 2, 6
What is p in p**3/3 - 2*p**2/3 + p/3 = 0?
0, 1
Solve b**2/2 + 748*b - 1497/2 = 0.
-1497, 1
Suppose -100*s**4/7 - 360*s**3 - 6736*s**2/7 + 6624*s/7 - 1408/7 = 0. What is s?
-22, -4, 2/5
Factor 5*h**4/4 - 51*h**3/2 - 45*h**2 + 22*h.
h*(h - 22)*(h + 2)*(5*h - 2)/4
Factor 5*x**2 - 10*x - 15.
5*(x - 3)*(x + 1)
Factor 5*d**4 - 40*d**3 - 495*d**2 - 450*d.
5*d*(d - 15)*(d + 1)*(d + 6)
Factor -w**3 - 23*w**2 - 171*w - 405.
-(w + 5)*(w + 9)**2
Factor -c**2/3 - 50*c/3.
-c*(c + 50)/3
Factor -2*j**3/13 + 70*j**2/13 - 576*j/13 - 648/13.
-2*(j - 18)**2*(j + 1)/13
Factor i**3/7 - 24*i**2/7 + 9*i.
i*(i - 21)*(i - 3)/7
Find z such that -20*z**5 - 235*z**4 - 360*z**3 - 95*z**2 + 50*z = 0.
-10, -1, 0, 1/4
Factor -c**2 - 107*c.
-c*(c + 107)
Factor 2*h**3/3 + 2*h**2/3.
2*h**2*(h + 1)/3
Solve s**4/2 - 4*s**3 - 107*s**2/2 - 159*s - 144 = 0.
-3, -2, 16
Factor -2*u**2/9 + 8*u/3 - 70/9.
-2*(u - 7)*(u - 5)/9
Factor -5*h**2 + 15*h + 50.
-5*(h - 5)*(h + 2)
Factor -5*b**2 - 910*b - 41405.
-5*(b + 91)**2
Find b such that -2*b**5/5 - 36*b**4/5 - 178*b**3/5 - 8*b**2 + 768*b/5 - 512/5 = 0.
-8, -4, 1
Suppose f**5 + 10*f**4 - 3*f**3 - 28*f**2 + 20*f = 0. What is f?
-10, -2, 0, 1
Factor -2*y**2/13 - 952*y/13 - 113288/13.
-2*(y + 238)**2/13
Solve -3*w**3 - 328*w**2 - 1067*w - 742 = 0 for w.
-106, -7/3, -1
Suppose 15*s**4 - 5*s**3 - 45*s**2 + 45*s - 10 = 0. Calculate s.
-2, 1/3, 1
Factor -2*f**3/7 + 32*f**2/7 - 22*f + 28.
-2*(f - 7)**2*(f - 2)/7
Solve 3*a**3 - 45*a**2 - 162*a = 0 for a.
-3, 0, 18
Factor -4*r**3/3 + 5352*r**2 - 7160976*r + 3193795296.
-4*(r - 1338)**3/3
Factor y**4/2 + 91*y**3 + 8809*y**2/2 + 24024*y + 34848.
(y + 3)**2*(y + 88)**2/2
Factor -9*g**5 + 114*g**4 - 201*g**3 + 96*g**2.
-3*g**2*(g - 1)**2*(3*g - 32)
Factor -2*v**2/11 + 1632*v/11 - 4878/11.
-2*(v - 813)*(v - 3)/11
Determine q, given that q**5/3 - 7*q**4/3 - 17*q**3/3 - 3*q**2 = 0.
-1, 0, 9
Find d such that 2*d**3/5 - 82*d**2/5 + 748*d/5 + 368 = 0.
-2, 20, 23
Let -d**3/2 - 175*d**2/2 - 87*d = 0. Calculate d.
-174, -1, 0
Factor 14*n**3 + 60*n**2 + 58*n + 12.
2*(n + 1)*(n + 3)*(7*n + 2)
Solve -62*a**2 + 130*a - 12 = 0 for a.
3/31, 2
Let 5*l**3 + 60*l**2 - 75*l - 130 = 0. What is l?
-13, -1, 2
Solve -2*h**4 + 1290*h**3 - 209938*h**2 + 620814*h - 412164 = 0.
1, 2, 321
Let -5*d**3 + 3815*d**2 + 7645*d + 3825 = 0. What is d?
-1, 765
Factor 2*t**3/9 - 2*t**2/3 - 8*t/9.
2*t*(t - 4)*(t + 1)/9
Determine j, given that -245*j**4 + 75600*j**3 - 5853560*j**2 + 3326400*j - 474320 = 0.
2/7, 154
Solve -4*g**3 + 44*g**2 - 32*g - 80 = 0.
-1, 2, 10
What is v in -35*v**3 - 100*v**2 - 55*v + 10 = 0?
-2, -1, 1/7
Factor -3*f**5 + 15*f**4 - 27*f**3 + 21*f**2 - 6*f.
-3*f*(f - 2)*(f - 1)**3
Factor -i**3/5 - 39*i**2.
-i**2*(i + 195)/5
Solve -4*m**4 - 92*m**3/5 - 4*m**2 + 204*m/5 - 72/5 = 0.
-3, 2/5, 1
Let 3*m**3 + 30*m**2 - 969*m + 936 = 0. Calculate m.
-24, 1, 13
Solve 3*a**5 - 13*a**4 - 32*a**3 + 12*a**2 = 0.
-2, 0, 1/3, 6
Let 2*r**3/11 - 8*r**2/11 + 6*r/11 = 0. What is r?
0, 1, 3
Solve -o**5/3 - 2*o**4 + 7*o**3/3 + 32*o**2 + 48*o = 0 for o.
-4, -3, 0, 4
Suppose -5*x**5/3 + 50*x**4 - 895*x**3/3 + 2170*x**2/3 - 780*x + 920/3 = 0. What is x?
1, 2, 23
Factor -5*b**2 - 295*b - 290.
-5*(b + 1)*(b + 58)
What is v in -v**4 + 396*v**3 + 1194*v**2 + 1196*v + 399 = 0?
-1, 399
Let 3*i**4/5 - 804*i**3/5 + 77274*i**2/5 - 3070548*i/5 + 7971615 = 0. What is i?
25, 81
Factor -4*d**2 - 13832*d - 11957764.
-4*(d + 1729)**2
Factor -x**4 - 49*x**3 - 702*x**2 - 972*x + 29160.
-(x - 5)*(x + 18)**3
Factor 15*b**4 + 35*b**3 - 35*b**2 - 15*b.
5*b*(b - 1)*(b + 3)*(3*b + 1)
Find l, given that 16*l**5/17 + 60*l**4/17 + 38*l**3/17 - 58*l**2/17 - 48*l/17 - 8/17 = 0.
-2, -1/2, -1/4, 1
Factor w**5/2 - 11*w**4/2 - 25*w**3/2 - 13*w**2/2.
w**2*(w - 13)*(w + 1)**2/2
Solve 4*z**2 + 1804*z - 3624 = 0 for z.
-453, 2
Factor r**4/2 + 23*r**3 - 261*r**2/2 - 153*r.
r*(r - 6)*(r + 1)*(r + 51)/2
Factor 2*d**2/3 - 184*d - 1112/3.
2*(d - 278)*(d + 2)/3
Factor k**3 + 37*k**2/3 + 40*k/3 - 44/3.
(k + 2)*(k + 11)*(3*k - 2)/3
Factor 3*u**4/7 - 138*u**3/7 + 2067*u**2/7 - 10140*u/7.
3*u*(u - 20)*(u - 13)**2/7
Factor k**5/4 + 21*k**4 + 923*k**3/2 + 861*k**2 + 1681*k/4.
k*(k + 1)**2*(k + 41)**2/4
Let -3*p**3/2 - 81*p**2/2 - 30*p + 234 = 0. Calculate p.
-26, -3, 2
Factor -2*a**2 + 216*a + 218.
-2*(a - 109)*(a + 1)
Factor -x**3/4 - 517*x**2/4 + 1037*x/4 - 519/4.
-(x - 1)**2*(x + 519)/4
Determine z, given that 5*z**5 - 25*z**4 + 20*z**3 + 80*z**2 - 160*z + 80 = 0.
-2, 1, 2
Factor 6*i**2 - 1000*i - 334.
2*(i - 167)*(3*i + 1)
Find f such that -3*f**3/4 - 75*f**2/4 - 369*f/4 - 513/4 = 0.
-19, -3
Solve -2*m**2/13 - 8420*m/13 - 8862050/13 = 0.
-2105
Let -c**3/6 + 29*c**2/6 - 175*c/6 + 49/2 = 0. What is c?
1, 7, 21
Factor 4*c**5 + 48*c**4 + 156*c**3 + 112*c**2.
4*c**2*(c + 1)*(c + 4)*(c + 7)
Solve -d**4 + 8*d**3 + 44*d**2 + 48*d = 0.
-2, 0, 12
Factor x**2/12 + x/6 - 2/3.
(x - 2)*(x + 4)/12
Factor -3*r**2 + 33*r + 36.
-3*(r - 12)*(r + 1)
Solve 3*l**2 + 4632*l + 1787952 = 0 for l.
-772
Factor 4*x**4 - 44*x**3 + 140*x**2 - 100*x.
4*x*(x - 5)**2*(x - 1)
Solve -4*b**5 + 14*b**4 + 8*b**3 = 0 for b.
-1/2, 0, 4
Factor l**5/4 - 3*l**4/2 - l**3/4 + 3*l**2/2.
l**2*(l - 6)*(l - 1)*(l + 1)/4
Factor -5*p**3 + 10*p**2 + 125*p - 250.
-5*(p - 5)*(p - 2)*(p + 5)
Factor -84*c**2 + 165*c + 6.
-3*(c - 2)*(28*c + 1)
Determine z, given that -z**4 - 9*z**3 - 13*z**2 + 9*z + 