88*n**2/9 + 1096*n/9 = 0. Calculate n.
-137, 0, 2
Solve -3*v**2/2 + 12*v - 21/2 = 0 for v.
1, 7
Let 12*t**5 - 20*t**4 - 24*t**3 + 40*t**2 + 12*t - 20 = 0. Calculate t.
-1, 1, 5/3
Let -132*h**5 - 9*h**4 + 264*h**3 + 18*h**2 - 132*h - 9 = 0. Calculate h.
-1, -3/44, 1
Let 18*u**5/7 - 30*u**4 + 950*u**3/7 - 2070*u**2/7 + 2160*u/7 - 864/7 = 0. Calculate u.
4/3, 3
Factor z**3 + 23*z**2 + 168*z + 396.
(z + 6)**2*(z + 11)
Factor 3*m**3/8 - 171*m**2/8 + 315*m - 294.
3*(m - 28)**2*(m - 1)/8
Suppose 2*n**4/9 + 50*n**3/9 + 42*n**2 + 814*n/9 + 484/9 = 0. What is n?
-11, -2, -1
Find f such that f**3/5 - 63*f**2/5 + 351*f/5 - 513/5 = 0.
3, 57
Solve -5*t**5/3 + 995*t**4/3 - 48995*t**3/3 - 50995*t**2/3 + 49000*t/3 + 50000/3 = 0 for t.
-1, 1, 100
Factor b**3/6 - 5*b**2 - b/6 + 5.
(b - 30)*(b - 1)*(b + 1)/6
Determine j, given that j**5/4 - 9*j**4/4 - 17*j**3/2 - 6*j**2 = 0.
-2, -1, 0, 12
Factor -256*y**4 + 364864*y**3 + 273744*y**2 + 68444*y + 5704.
-4*(y - 1426)*(4*y + 1)**3
Factor 5*j**4 + 125*j**3 - 5*j**2 - 125*j.
5*j*(j - 1)*(j + 1)*(j + 25)
Factor 87616*h**2 + 3552*h + 36.
4*(148*h + 3)**2
Factor -w**2 - 25*w - 24.
-(w + 1)*(w + 24)
Determine y, given that -y**2 - 90*y + 376 = 0.
-94, 4
Suppose -d**5/3 - d**4/3 + 11*d**3/3 + 3*d**2 - 6*d = 0. Calculate d.
-3, -2, 0, 1, 3
Let 1821*x**2/2 - 909*x - 3/2 = 0. Calculate x.
-1/607, 1
Factor x**4/2 + 12*x**3 + 105*x**2 + 392*x + 1029/2.
(x + 3)*(x + 7)**3/2
Factor -n**3/12 + 11*n**2/6 - 25*n/4 + 9/2.
-(n - 18)*(n - 3)*(n - 1)/12
Determine f so that -28*f**4 + 1352*f**3 - 13488*f**2 + 40032*f - 10368 = 0.
2/7, 6, 36
Factor 4*y**2 + 3224*y + 649636.
4*(y + 403)**2
Determine v, given that 3*v**3/4 + 5*v**2/2 - 909*v/4 - 76 = 0.
-19, -1/3, 16
Suppose -27*w**2 - 498*w - 1680 = 0. Calculate w.
-14, -40/9
Factor -3*g**3 - 1200*g**2 - 1197*g.
-3*g*(g + 1)*(g + 399)
Factor -t**5/4 + 49*t**4/4 - 12*t**3.
-t**3*(t - 48)*(t - 1)/4
Determine v, given that v**5/2 - 35*v**4/2 - 77*v**3/2 + 107*v**2/2 + 76*v - 74 = 0.
-2, 1, 37
Find j such that -4*j**2/7 + 64*j/7 - 192/7 = 0.
4, 12
Determine a so that -5*a**5 - 5*a**4 + 20*a**3 + 20*a**2 = 0.
-2, -1, 0, 2
What is c in c**5/11 + 192*c**4/11 + 1310*c**3/11 + 2788*c**2/11 + 219*c + 740/11 = 0?
-185, -4, -1
Solve -12*y**4 + 688*y**3 - 9628*y**2 - 6728*y = 0 for y.
-2/3, 0, 29
Factor -3*q**3/4 - 570*q**2 - 2271*q - 2268.
-3*(q + 2)**2*(q + 756)/4
Factor 18*d**3 + 21*d**2 - 30*d.
3*d*(d + 2)*(6*d - 5)
Find g, given that -15*g**3 + 129*g**2 - 156*g - 84 = 0.
-2/5, 2, 7
Suppose 3*x**4 + 45*x**3 + 36*x**2 - 84*x = 0. What is x?
-14, -2, 0, 1
Factor 12*m**2/5 + 11*m/5 - 1/5.
(m + 1)*(12*m - 1)/5
Find l such that -2*l**2/15 + 32*l/5 = 0.
0, 48
Solve -2*k**2/3 - 5368*k/3 + 10744/3 = 0.
-2686, 2
Factor 5*g**3 + 245*g**2 + 920*g + 900.
5*(g + 2)**2*(g + 45)
Let 2*l**4/3 + 2*l**3/3 - 56*l**2/3 - 152*l/3 - 32 = 0. What is l?
-4, -2, -1, 6
Solve -6*r**4 - 22*r**3 + 180*r**2 + 400*r = 0.
-20/3, -2, 0, 5
Factor -j**4/7 - 215*j**3/7 - 639*j**2/7 - 91*j - 212/7.
-(j + 1)**3*(j + 212)/7
Solve -3300*a**5 - 2667*a**4 + 627*a**3 - 6*a**2 = 0 for a.
-1, 0, 1/100, 2/11
Suppose 2*y**5/11 + 148*y**4/11 + 690*y**3/11 = 0. Calculate y.
-69, -5, 0
Factor -32*u**3/19 + 34*u**2/19 + 60*u/19.
-2*u*(u - 2)*(16*u + 15)/19
Factor -4*f**2 + 204*f - 1976.
-4*(f - 38)*(f - 13)
Determine i, given that -4*i**2/5 - 568*i/5 + 572/5 = 0.
-143, 1
Factor 2*r**2/7 + 2728*r/7.
2*r*(r + 1364)/7
Factor -v**5/4 - 37*v**4/4 - 29*v**3/2 + 115*v**2 + 358*v + 280.
-(v - 4)*(v + 2)**3*(v + 35)/4
Factor -75*o**3 + 13515*o**2 - 16137*o + 4833.
-3*(o - 179)*(5*o - 3)**2
Solve -2*t**2/3 - 98*t - 580/3 = 0 for t.
-145, -2
Solve 6*z**5/11 - 12*z**4/11 - 48*z**3/11 + 108*z**2/11 - 54*z/11 = 0 for z.
-3, 0, 1, 3
Find c, given that -2*c**2/19 + 1228*c/19 - 188498/19 = 0.
307
Let -5*q**3 + 1925*q**2 + 1930*q = 0. What is q?
-1, 0, 386
Solve -3*u**5/4 - 27*u**4/2 + 48*u**3 + 27*u**2/2 - 189*u/4 = 0.
-21, -1, 0, 1, 3
Solve 2*w**4/9 + 4*w**3 + 200*w**2/9 + 28*w - 490/9 = 0.
-7, -5, 1
Suppose -75*f**5/7 - 885*f**4/7 - 96*f**3 - 132*f**2/7 = 0. Calculate f.
-11, -2/5, 0
Suppose 2*d**5 + 506*d**4 + 42332*d**3 + 1142060*d**2 - 2413150*d + 1228250 = 0. What is d?
-85, 1
Factor -7*q**2/3 - 10*q - 8/3.
-(q + 4)*(7*q + 2)/3
Find r, given that -78*r**2 + 82*r - 4 = 0.
2/39, 1
Factor -49*j**5 - 126*j**4 + 423*j**3 + 648*j**2 - 1296*j.
-j*(j + 3)**2*(7*j - 12)**2
Factor -719*x**2/2 + 3597*x/2 - 5.
-(x - 5)*(719*x - 2)/2
Determine k so that 5*k**3 - 30*k**2 + 15*k + 50 = 0.
-1, 2, 5
Suppose -98*a**2/17 + 212*a/17 - 32/17 = 0. What is a?
8/49, 2
Determine u, given that 2*u**5/13 + 10*u**4/13 - 4*u**3/13 - 20*u**2/13 + 2*u/13 + 10/13 = 0.
-5, -1, 1
Factor -4*x**2/5 + 1048*x/5 - 68644/5.
-4*(x - 131)**2/5
Suppose 5*c**5 + 25*c**4 + 15*c**3 - 45*c**2 = 0. What is c?
-3, 0, 1
Find s such that -2*s**4/5 + 28*s**3/5 - 66*s**2/5 - 32*s + 40 = 0.
-2, 1, 5, 10
What is m in -m**4/3 - 58*m**3/3 + 316*m**2/3 + 58*m/3 - 105 = 0?
-63, -1, 1, 5
Suppose 2*o**2 - 22*o - 24 = 0. Calculate o.
-1, 12
Factor r**5/6 - r**4/2 - 7*r**3/6 + 7*r**2/6 + 3*r + 4/3.
(r - 4)*(r - 2)*(r + 1)**3/6
Find r, given that r**5 + 8*r**4 - r**3 - 8*r**2 = 0.
-8, -1, 0, 1
Factor -t**2/2 - 49*t/4 - 47/4.
-(t + 1)*(2*t + 47)/4
Solve 2*j**3/9 + 10*j**2/9 + 8*j/9 = 0.
-4, -1, 0
Factor 8*m**4 - 42*m**3 + 42*m**2 - 8*m.
2*m*(m - 4)*(m - 1)*(4*m - 1)
Let -2*v**5/3 - 16*v**4/3 + 50*v**3 - 84*v**2 = 0. Calculate v.
-14, 0, 3
Factor 5*v**3 + 630*v**2 - 1925*v + 1290.
5*(v - 2)*(v - 1)*(v + 129)
Suppose -8*m**3 - 6*m**2 + 50*m - 12 = 0. What is m?
-3, 1/4, 2
Determine y so that y**5/2 + 3*y**4 - 7*y**3/2 = 0.
-7, 0, 1
Suppose 12*n**5 + 152*n**4 + 444*n**3 + 448*n**2 + 144*n = 0. Calculate n.
-9, -2, -1, -2/3, 0
Determine b, given that 2*b**2/7 + 68*b - 960/7 = 0.
-240, 2
Find b such that -4*b**3 + 116*b**2 + 248*b = 0.
-2, 0, 31
Factor 51*u**3/8 - 99*u**2/4 - 3*u.
3*u*(u - 4)*(17*u + 2)/8
Determine q so that -6*q**4 + 9*q**3 + 141*q**2 - 441*q + 297 = 0.
-11/2, 1, 3
Factor 4*u**4/5 + 64*u**3/5 + 376*u**2/5 + 192*u + 180.
4*(u + 3)**2*(u + 5)**2/5
Suppose -3*f**3 - 173*f**2 - 282*f - 112 = 0. What is f?
-56, -1, -2/3
Factor b**4/5 + 4*b**3/5 - 19*b**2/5 - 46*b/5 - 24/5.
(b - 4)*(b + 1)**2*(b + 6)/5
Find h, given that -124*h**2/5 - 368*h/5 + 12/5 = 0.
-3, 1/31
Factor -o**2/3 + 31*o.
-o*(o - 93)/3
Factor -2*j**2/5 - 12*j/5 - 2.
-2*(j + 1)*(j + 5)/5
Solve 3*o**5/2 + 3*o**4 - 3*o**3/2 - 3*o**2 = 0 for o.
-2, -1, 0, 1
Solve -5*a**5/9 - 23*a**4/9 - 37*a**3/9 - 25*a**2/9 - 2*a/3 = 0.
-2, -1, -3/5, 0
Factor 2*m**2 + 21672*m + 58709448.
2*(m + 5418)**2
Determine c, given that c**4 - 25*c**3 + 87*c**2 - 63*c = 0.
0, 1, 3, 21
Factor 11*g**4/6 - 5*g**3/3 - 23*g**2/6 - g/3.
g*(g - 2)*(g + 1)*(11*g + 1)/6
Find a such that 3*a**4/5 + 132*a**3 + 37596*a**2/5 + 28512*a + 139968/5 = 0.
-108, -2
What is b in -b**4/4 - 17*b**3/2 + 3*b**2/4 + 1357*b - 2645 = 0?
-23, 2, 10
Let -2*z**3/7 + 108*z**2/7 - 1944*z/7 + 11664/7 = 0. What is z?
18
Suppose 6*g**3/13 - 2168*g**2/13 + 2872*g/13 + 2880/13 = 0. What is g?
-2/3, 2, 360
Determine q, given that -9*q**3 + 12*q**2 + 12*q = 0.
-2/3, 0, 2
Solve -3*j**2/2 - 33*j - 63/2 = 0 for j.
-21, -1
Suppose -r**2/3 + 5*r/3 - 2 = 0. What is r?
2, 3
Find u such that 4*u**3 - 224*u**2 + 220*u = 0.
0, 1, 55
Factor 3*y**3 - 963*y**2 - 972*y + 1932.
3*(y - 322)*(y - 1)*(y + 2)
Factor -2*h**5/7 + 110*h**4/7 - 1566*h**3/7 + 1458*h**2/7.
-2*h**2*(h - 27)**2*(h - 1)/7
Determine q, given that 5*q**5 + 60*q**4 + 50*q**3 - 60*q**2 - 55*q = 0.
-11, -1, 0, 1
Factor -a**2/4 - 15*a/4 - 13/2.
-(a + 2)*(a + 13)/4
Determine b so that 15*b**3 + 680*b**2 + 885*b + 220 = 0.
-44, -1, -1/3
Let 2*w**3/3 - 1612*w**2 + 1299272*w - 1047213232/3 = 0. Calculate w.
806
Factor o**2/2 - 96*o + 4608.
(o - 96)**2/2
Factor 28*b**4 + 176*b**3 + 300*b**2 + 184*b + 32.
4*(b + 1)**2*(b + 4)*(7*b + 2)
Determine p, given that 12*p**4 + 1660*p**3 - 1116*p**2 - 556*p = 0.
-139, -1/3, 0, 1
Suppose 15*m**5 - 216*m**4 - 1221*m**3 - 1698*m**2 - 252*m + 456 = 0. What is m?
-2, -1, 2/5, 19
Find a such that 2*a**5/9 + 22*a**4/9 - 2*a**3 - 422*a**2/9 + 800*a/9 - 128/3 = 0.
-8, 1, 3
Factor -3*k**3/4 - 7*k**2/4 + 1.
-(k + 1)*(k + 2)*(3*k - 2)/4
Factor 5*s**2 + 20*s - 300.
5*(s - 6)*(s + 10)
Let -o**2 + 10*o - 16 = 0. Calculate o.
2, 8
Find q, given t