2)
Factor -y**2/8 + 32*y.
-y*(y - 256)/8
Find t, given that -2*t**3 - 40*t**2 - 94*t + 136 = 0.
-17, -4, 1
Suppose -5*y**3 - 225*y**2 - 3240*y - 15120 = 0. Calculate y.
-21, -12
Factor 2*k**3/13 - 72*k**2/13 - 320*k/13.
2*k*(k - 40)*(k + 4)/13
Factor -3*w**3 - 81*w**2 + 270*w.
-3*w*(w - 3)*(w + 30)
Factor -4*c**2 - 236*c - 232.
-4*(c + 1)*(c + 58)
What is v in -3*v**2/4 - 6249*v/4 - 3123/2 = 0?
-2082, -1
Factor -2*f**2/3 + 112*f/3 + 232/3.
-2*(f - 58)*(f + 2)/3
Suppose -5*b**4 + 340*b**3 - 4650*b**2 - 39220*b - 34225 = 0. Calculate b.
-5, -1, 37
Factor -2*o**4/3 - 74*o**3/3 - 646*o**2/3 + 722*o/3.
-2*o*(o - 1)*(o + 19)**2/3
Solve -y**4/4 + 11*y**3/4 - 45*y**2/4 + 81*y/4 - 27/2 = 0 for y.
2, 3
Let -q**3/6 + 19*q**2/6 + 13*q/6 - 1183/6 = 0. Calculate q.
-7, 13
Determine s, given that 7*s**4/9 + s**3/9 - 7*s**2/9 - s/9 = 0.
-1, -1/7, 0, 1
Factor -4*l**2 - 72*l + 1276.
-4*(l - 11)*(l + 29)
Let 3*w**3/8 - 3*w**2/8 - 687*w/8 + 3927/8 = 0. Calculate w.
-17, 7, 11
Factor 2*g**3/3 - 26*g**2 - 80*g/3.
2*g*(g - 40)*(g + 1)/3
Let 2*f**4 - 5408*f**3 + 3655806*f**2 + 5408*f - 3655808 = 0. Calculate f.
-1, 1, 1352
Determine f so that 2*f**3/11 - 246*f**2/11 + 478*f/11 + 66 = 0.
-1, 3, 121
Find k, given that 10*k**5 + 75*k**4 - 40*k**3 = 0.
-8, 0, 1/2
Suppose -5*v**2 - 345*v - 990 = 0. What is v?
-66, -3
Factor s**4 - 502*s**3 + 62496*s**2 + 127008*s.
s*(s - 252)**2*(s + 2)
Factor 3*h**3/7 - 19*h**2/7 + 22*h/7 + 24/7.
(h - 4)*(h - 3)*(3*h + 2)/7
Factor 4*g**3 + 173*g**2 - 317*g - 90.
(g - 2)*(g + 45)*(4*g + 1)
Let -3*y**3/4 + 699*y**2/4 - 38913*y/4 - 212415/4 = 0. What is y?
-5, 119
Determine g, given that -4*g**4 + 124*g**3 - 888*g**2 - 1280*g + 2048 = 0.
-2, 1, 16
Factor 5*k**5 + 5*k**4 - 25*k**3 + 15*k**2.
5*k**2*(k - 1)**2*(k + 3)
Factor 5*j**2 + 1690*j + 142805.
5*(j + 169)**2
Determine l so that -5*l**4/3 - 8*l**3/3 + 8*l**2 + 32*l/3 - 16/3 = 0.
-2, 2/5, 2
Factor -12*u**2 + 40*u - 32.
-4*(u - 2)*(3*u - 4)
Factor 4*r**3 - 76*r**2 + 72*r.
4*r*(r - 18)*(r - 1)
Factor 2*k**2 - 436*k + 23762.
2*(k - 109)**2
Factor -r**2/5 + 44*r - 2420.
-(r - 110)**2/5
Factor 4*d**4 - 640*d**3 + 2516*d**2 - 3128*d + 1248.
4*(d - 156)*(d - 2)*(d - 1)**2
What is o in 3*o**3 - 6*o**2 - 9*o = 0?
-1, 0, 3
Determine a so that 6*a**2/5 + 38*a/15 + 4/15 = 0.
-2, -1/9
Determine o, given that -3*o**4 - 297*o**3 - 10701*o**2 - 163995*o - 878004 = 0.
-29, -12
Determine s, given that -12*s**3 - 1652*s**2 - 56580*s + 19044 = 0.
-69, 1/3
Let -625*y**4 - 250*y**3 + 375*y**2 - 20*y - 20 = 0. What is y?
-1, -1/5, 2/5
Factor 2*v**2/11 + 6*v/11 - 8/11.
2*(v - 1)*(v + 4)/11
Factor 341138*h**2 + 6608*h + 32.
2*(413*h + 4)**2
Determine m so that -8*m**4 - 34*m**3 + 80*m**2 + 262*m + 60 = 0.
-5, -2, -1/4, 3
Solve -a**5 - 14*a**4 - 32*a**3 + 128*a**2 = 0 for a.
-8, 0, 2
Let 2*n**2/25 + 68*n/25 - 14/5 = 0. What is n?
-35, 1
Determine m so that -2*m**4 + 2*m**3 + 10*m**2 + 6*m = 0.
-1, 0, 3
Factor -y**2/3 + 176*y - 23232.
-(y - 264)**2/3
Determine v, given that -12*v**2/7 - 20*v/7 - 8/7 = 0.
-1, -2/3
Let -2*q**4/9 + 4*q**3 + 8*q**2/9 - 560*q/3 = 0. What is q?
-6, 0, 10, 14
Solve 2*l**5/9 - 56*l**4/9 + 104*l**3/9 + 4*l**2/9 - 106*l/9 + 52/9 = 0 for l.
-1, 1, 26
Find k such that 2*k**3/7 - 18*k**2/7 - 2*k/7 + 18/7 = 0.
-1, 1, 9
Let -s**5/10 - 14*s**4/5 - 241*s**3/10 - 43*s**2 + 170*s - 100 = 0. What is s?
-10, 1
Factor -4*i**3 - 772*i**2 - 1528*i.
-4*i*(i + 2)*(i + 191)
Solve -3*m**3/2 - 21*m**2 - 147*m/2 = 0 for m.
-7, 0
Factor 2*q**4/7 - 4*q**3/7 - 24*q**2/7 + 80*q/7 - 64/7.
2*(q - 2)**3*(q + 4)/7
Factor -2*a**2/3 + 44*a/3 - 14.
-2*(a - 21)*(a - 1)/3
Determine t so that -2*t**2/7 + 170*t/7 = 0.
0, 85
Let i**5 - 8*i**3 + 6*i**2 + 7*i - 6 = 0. What is i?
-3, -1, 1, 2
Factor 10*t**3 - 1884*t**2 + 2622*t - 748.
2*(t - 187)*(t - 1)*(5*t - 2)
Determine i, given that i**3/9 + 19*i**2/3 - 58*i/9 = 0.
-58, 0, 1
Suppose -c**3/4 + 5*c**2/4 + 66*c - 135 = 0. What is c?
-15, 2, 18
Find n such that -2*n**2 - 54*n = 0.
-27, 0
Factor -3*y**3 - 114*y**2 + 3*y + 114.
-3*(y - 1)*(y + 1)*(y + 38)
Factor g**3/4 - 25*g**2/8 - 11*g/2 + 7/2.
(g - 14)*(g + 2)*(2*g - 1)/8
Determine x, given that 2*x**2/5 - 6*x/5 - 216/5 = 0.
-9, 12
Factor -a**3 - 43*a**2/4 + 121*a/2 - 195/4.
-(a - 1)*(a + 15)*(4*a - 13)/4
Factor -k**4/5 + 2*k**3 - 29*k**2/5 + 32*k/5 - 12/5.
-(k - 6)*(k - 2)*(k - 1)**2/5
Factor 11*d**4 - 916*d**3 + 19642*d**2 - 23780*d + 5043.
(d - 41)**2*(d - 1)*(11*d - 3)
Find q, given that 5*q**3/3 - 305*q**2/3 - 210*q = 0.
-2, 0, 63
Factor 2*w**2/9 - 94*w/3 - 196.
2*(w - 147)*(w + 6)/9
Factor -n**5/6 + n**4/6 + 2*n**3 - 8*n**2/3 - 16*n/3 + 8.
-(n - 2)**3*(n + 2)*(n + 3)/6
Find a, given that -4*a**2/5 - 48*a/5 + 36 = 0.
-15, 3
Suppose 2*g**2/3 - 34*g - 212/3 = 0. Calculate g.
-2, 53
Let 124*i**2 - 952*i = 0. What is i?
0, 238/31
Factor b**4/8 + 287*b**3/4 + 13752*b**2 + 3538657*b/4 + 6967871/8.
(b + 1)*(b + 191)**3/8
Find j, given that 4*j**5 - 88*j**4 + 656*j**3 - 2168*j**2 + 3180*j - 1584 = 0.
1, 3, 4, 11
Determine l so that -8*l**5/5 - 58*l**4/5 - 134*l**3/5 - 102*l**2/5 - 18*l/5 = 0.
-3, -1, -1/4, 0
Factor -g**3/3 + 8*g**2/3 + 11*g/3 - 6.
-(g - 9)*(g - 1)*(g + 2)/3
Determine v, given that -5*v**2 + 870*v - 37845 = 0.
87
Factor r**2/5 - 2874*r/5 + 2064969/5.
(r - 1437)**2/5
Determine w so that 2*w**2/3 + 122*w/3 + 40 = 0.
-60, -1
Determine n, given that 10*n**4 + 175*n**3 - 285*n**2 + 5*n + 95 = 0.
-19, -1/2, 1
Factor 2*u**2 + 24*u.
2*u*(u + 12)
What is y in -y**4/2 + 94*y**3 - 8835*y**2/2 - 94*y + 4418 = 0?
-1, 1, 94
Factor -5*v**5 - 718*v**4 - 34269*v**3 - 538704*v**2 + 241920*v + 331776.
-(v - 1)*(v + 48)**3*(5*v + 3)
Let -5*z**4 + 420*z**3 - 10230*z**2 + 99220*z - 339405 = 0. Calculate z.
11, 51
Factor 2*y**4/11 - 16*y**3/11 + 32*y**2/11.
2*y**2*(y - 4)**2/11
Factor g**3 - 59*g**2/4 - 5*g + 525.
(g - 10)**2*(4*g + 21)/4
Let -4*j**5 + 15*j**4 + 8*j**3 - 15*j**2 - 4*j = 0. What is j?
-1, -1/4, 0, 1, 4
Factor -f**2/2 + 55*f - 3025/2.
-(f - 55)**2/2
Factor -v**2/6 - 4*v + 650/3.
-(v - 26)*(v + 50)/6
Factor 4*c**4 - 16*c**3 + 12*c**2.
4*c**2*(c - 3)*(c - 1)
Suppose q**2/11 - q - 26/11 = 0. Calculate q.
-2, 13
Find r such that 5*r**3 + 120*r**2 - 900*r = 0.
-30, 0, 6
Let -g**2/11 - 20*g - 1100 = 0. What is g?
-110
Let -k**3 - 108*k**2 - 3120*k - 10816 = 0. Calculate k.
-52, -4
Suppose 8*m**2/7 - 34*m/7 + 30/7 = 0. Calculate m.
5/4, 3
Let 3*m**2 - 18207*m + 18204 = 0. What is m?
1, 6068
Factor -3*h**5 - 15*h**4 - 24*h**3 - 12*h**2.
-3*h**2*(h + 1)*(h + 2)**2
Factor 2*k**3/21 - 4*k**2/21 - 16*k/7.
2*k*(k - 6)*(k + 4)/21
Factor 2*d**5 + 34*d**4 + 104*d**3 - 32*d**2 - 448*d - 416.
2*(d - 2)*(d + 2)**3*(d + 13)
Find w such that -w**3 + 27*w**2 - 134*w + 168 = 0.
2, 4, 21
Let 2*v**3/7 - 1464*v**2/7 + 4378*v/7 - 2916/7 = 0. Calculate v.
1, 2, 729
Find y such that 2*y**3 - 4*y**2 - 30*y + 72 = 0.
-4, 3
Let -c**3/11 + 7*c**2/11 - c + 5/11 = 0. Calculate c.
1, 5
Factor -9*s**2/4 - 291*s/4 - 93.
-3*(s + 31)*(3*s + 4)/4
Factor 3*v**2/5 + 9*v.
3*v*(v + 15)/5
Factor -2*h**2 - 148*h - 2738.
-2*(h + 37)**2
Let 2*g**3/3 - 8*g**2/3 - 40*g = 0. What is g?
-6, 0, 10
Factor -8*z**3 - 131*z**2 - 165*z.
-z*(z + 15)*(8*z + 11)
Factor 2*m**3/5 - 32*m**2 + 640*m.
2*m*(m - 40)**2/5
Factor -16*w**5/5 - 8*w**4/5 - w**3/5.
-w**3*(4*w + 1)**2/5
Suppose -4*r**5 - 12*r**4 + 8*r**3 + 24*r**2 - 4*r - 12 = 0. What is r?
-3, -1, 1
Factor -q**5 - 63*q**4 + 340*q**3.
-q**3*(q - 5)*(q + 68)
Factor 9*g**4/5 - 119*g**3/5 + 70*g**2 - 72*g/5.
g*(g - 9)*(g - 4)*(9*g - 2)/5
Suppose -a**4/2 + 129*a**3/8 - 69*a**2/2 + 181*a/8 - 15/4 = 0. Calculate a.
1/4, 1, 30
Factor 2*z**4/5 - 6*z**3 + 20*z**2.
2*z**2*(z - 10)*(z - 5)/5
Let 5*p**5 - 1180*p**4 + 73050*p**3 - 402500*p**2 + 330625*p = 0. Calculate p.
0, 1, 5, 115
Suppose -10*s**2 + 5*s + 275 = 0. Calculate s.
-5, 11/2
Factor 2*l**3 + 40*l**2 + 74*l + 36.
2*(l + 1)**2*(l + 18)
Find s, given that 2*s**4/3 - 166*s**3/15 - 878*s**2/15 - 318*s/5 - 84/5 = 0.
-3, -1, -2/5, 21
Solve 35*n**4/3 - 80*n**3/3 - 145*n**2 - 220*n/3 + 100/3 = 0.
-2, -1, 2/7, 5
Suppose -108*y**5 - 828*y**4 + 717*y**3 + 3288*y**2 - 1140*y + 96 = 0. What is y?
-8, -2, 1/6, 2
Find g such that -3*g**5 + 111*g**4 - 1170*g**3 + 2490*g**2 + 1173*g - 2601 = 0.
-1, 1, 3, 17
Factor -4*b**3/3 - 268*b**2.
-4*b**2*(b + 201)/3
Factor -2*l**2 - 200*l - 198.
-2*(l +