**3/4 + 9*f**2/2 - 201*f/4 + 45.
3*(f - 5)*(f - 1)*(f + 12)/4
Factor g**2 - 616*g + 94864.
(g - 308)**2
Let 5*d**2 + 340*d + 3135 = 0. Calculate d.
-57, -11
Factor -3*q**3 - 675*q**2 + 12*q + 2700.
-3*(q - 2)*(q + 2)*(q + 225)
Factor 2*x**2 - 58*x + 156.
2*(x - 26)*(x - 3)
Factor -5*g**2 + 1370*g - 93845.
-5*(g - 137)**2
Solve 42*o**4 - 135*o**3 + 21*o**2 + 18*o = 0 for o.
-2/7, 0, 1/2, 3
Suppose -2*a**3 - 76*a**2 - 262*a + 340 = 0. What is a?
-34, -5, 1
Determine d so that -5*d**4/3 + 125*d**3/3 + 5*d**2/3 - 125*d/3 = 0.
-1, 0, 1, 25
Find x such that -3*x**5 - 39*x**4 - 105*x**3 + 75*x**2 + 468*x + 324 = 0.
-9, -3, -2, -1, 2
Determine r so that -2*r**4/15 - 998*r**3/15 - 596*r**2/3 - 1984*r/15 = 0.
-496, -2, -1, 0
Determine i, given that -9*i**4 - 231*i**3 - 367*i**2 - 169*i - 24 = 0.
-24, -1, -1/3
Suppose -3*k**5/2 - 27*k**4/2 - 15*k**3 + 117*k**2 + 465*k/2 + 225/2 = 0. What is k?
-5, -1, 3
What is u in 5*u**2 + 965*u + 2850 = 0?
-190, -3
Factor -w**3 + 4*w**2 - w - 6.
-(w - 3)*(w - 2)*(w + 1)
Factor 4*v**3 - 2124*v**2 + 375948*v - 22180932.
4*(v - 177)**3
Find b, given that -5*b**4 - 145*b**3 - 135*b**2 + 145*b + 140 = 0.
-28, -1, 1
Factor k**5/4 - 7*k**4/4 - 3*k**3/4 + 23*k**2/4 - 7*k/2.
k*(k - 7)*(k - 1)**2*(k + 2)/4
Suppose -3*y**2 + 96*y - 93 = 0. What is y?
1, 31
Factor 5*y**3 + 60*y**2 - 495*y - 1190.
5*(y - 7)*(y + 2)*(y + 17)
Factor 2*r**3/9 - 14*r**2/3 + 112*r/9 - 8.
2*(r - 18)*(r - 2)*(r - 1)/9
Factor 5*d**4/4 + 15*d**3 + 105*d**2/4 + 25*d/2.
5*d*(d + 1)**2*(d + 10)/4
Solve -10*m**3/11 - 42*m**2/11 - 8*m/11 = 0 for m.
-4, -1/5, 0
Factor -y**2/11 + 3*y + 430/11.
-(y - 43)*(y + 10)/11
Determine h so that -3*h**5 - 405*h**4 - 14256*h**3 - 39204*h**2 = 0.
-66, -3, 0
Suppose -z**3/4 - 133*z**2/4 - 98*z - 65 = 0. Calculate z.
-130, -2, -1
Factor x**3 + 313*x**2/4 + 3081*x/2 + 1521/4.
(x + 39)**2*(4*x + 1)/4
Solve f**2/8 - 5*f/4 + 3 = 0 for f.
4, 6
Solve 10*a**3/3 + 92*a**2/3 + 158*a/3 + 28/3 = 0.
-7, -2, -1/5
Let 2*w**2/17 + 604*w/17 + 45602/17 = 0. Calculate w.
-151
What is q in 12*q**2 + 180*q + 675 = 0?
-15/2
Factor 3*u**2/8 + 6711*u/4 + 15012507/8.
3*(u + 2237)**2/8
Factor z**5 + 14*z**4 - 108*z**3 + 232*z**2 - 160*z.
z*(z - 2)**3*(z + 20)
Determine p so that 4*p**5 - 16*p**4 - 4*p**3 + 16*p**2 = 0.
-1, 0, 1, 4
Factor 4*z**2 + 16*z.
4*z*(z + 4)
Factor 4*y**5 - 56*y**4 + 52*y**3.
4*y**3*(y - 13)*(y - 1)
Factor 4*y**5 - 44*y**4 + 108*y**3 - 100*y**2 + 32*y.
4*y*(y - 8)*(y - 1)**3
Let -v**3/6 + 7*v**2/2 - 10*v/3 = 0. Calculate v.
0, 1, 20
Find j, given that 12*j**4 - 776*j**3 + 12796*j**2 - 7936*j - 4096 = 0.
-1/3, 1, 32
Factor -3*d**2 + 6*d + 585.
-3*(d - 15)*(d + 13)
Find j such that j**2/4 + 1140*j + 1299600 = 0.
-2280
Solve -5*i**5 - 5*i**4 + 5*i**3 + 5*i**2 = 0 for i.
-1, 0, 1
Let -2*x**2/15 + 1072*x/15 - 143648/15 = 0. Calculate x.
268
Factor 5*m**2 - 5*m - 10.
5*(m - 2)*(m + 1)
Determine y, given that 8*y**3 - 26*y**2 + 20*y = 0.
0, 5/4, 2
Factor 2*f**2 - 42*f + 216.
2*(f - 12)*(f - 9)
Suppose -505*v**3 + 1525*v**2 + 1990*v - 40 = 0. Calculate v.
-1, 2/101, 4
Factor -3*d**5 - 12*d**4 + 69*d**3 + 114*d**2 - 660*d + 600.
-3*(d - 2)**3*(d + 5)**2
Factor -9*t**3/4 + 925*t**2/4 - 403*t - 101.
-(t - 101)*(t - 2)*(9*t + 2)/4
Factor 4*t**2 - 32*t + 28.
4*(t - 7)*(t - 1)
Let 3*o**2/2 + 2232*o - 4470 = 0. Calculate o.
-1490, 2
Let k**2/6 - 67*k/6 = 0. Calculate k.
0, 67
Factor -o**5/3 + 2*o**3 - 8*o**2/3 + o.
-o*(o - 1)**3*(o + 3)/3
Determine a so that -3*a**2/5 + 33*a/5 + 378/5 = 0.
-7, 18
Factor b**3/7 + 58*b**2 - 3296*b/7 + 6624/7.
(b - 4)**2*(b + 414)/7
Find i, given that -20*i**3 - 75*i**2 - 60*i + 20 = 0.
-2, 1/4
Factor -o**4/4 + 31*o**3/4 + 25*o**2 + 17*o.
-o*(o - 34)*(o + 1)*(o + 2)/4
Determine y so that -15*y**5/2 - 9745*y**4/4 - 17745*y**3/4 + 1620*y**2 + 1615*y = 0.
-323, -2, -1/2, 0, 2/3
Factor -2*u**3/3 - 32*u**2 + 302*u/3 - 68.
-2*(u - 2)*(u - 1)*(u + 51)/3
Factor -3*i**4/4 - 153*i**3/2 - 9867*i**2/4 - 26316*i - 88752.
-3*(i + 8)**2*(i + 43)**2/4
Find c such that 6*c**4 - 58*c**3 + 142*c**2 - 54*c - 36 = 0.
-1/3, 1, 3, 6
Determine a so that 5*a**5 - 55*a**4 - 280*a**3 - 300*a**2 = 0.
-2, 0, 15
Factor i**2/7 - 23*i/7 - 248/7.
(i - 31)*(i + 8)/7
Find v such that 2*v**5/9 + 20*v**4/3 + 448*v**3/9 - 20*v**2/3 - 50*v = 0.
-15, -1, 0, 1
Solve 4*n**5 + 40*n**4 + 48*n**3 - 288*n**2 = 0 for n.
-6, 0, 2
Factor -3*w**3 + 69*w**2 - 426*w + 360.
-3*(w - 12)*(w - 10)*(w - 1)
Determine q so that -3*q**5 + 21*q**4 - 33*q**3 - 21*q**2 + 36*q = 0.
-1, 0, 1, 3, 4
Factor -2*y**2/3 + 8*y/3 - 2.
-2*(y - 3)*(y - 1)/3
Factor -d**5/2 - 10*d**4 - 81*d**3/2 - 43*d**2 + 34*d + 60.
-(d - 1)*(d + 2)**3*(d + 15)/2
Solve h**4/2 + 63*h**3/2 - 65*h**2 = 0.
-65, 0, 2
Factor -4*v**2 - 80*v + 84.
-4*(v - 1)*(v + 21)
Suppose 3*v**3/2 - 447*v**2/2 + 18837*v/2 - 157113/2 = 0. Calculate v.
11, 69
Factor -g**3/5 - 29*g**2 - 5328*g/5 - 5184/5.
-(g + 1)*(g + 72)**2/5
Factor -j**4 - 3*j**3/5 + 12*j**2/5 - 4*j/5.
-j*(j - 1)*(j + 2)*(5*j - 2)/5
Let g**5/5 + 8*g**4/5 + 19*g**3/5 + 8*g**2/5 - 4*g - 16/5 = 0. What is g?
-4, -2, -1, 1
Factor 3*u**2 - 96*u - 99.
3*(u - 33)*(u + 1)
Let -x**5/2 + 14*x**4/3 + 4*x**3 - 19*x**2/3 - 7*x/2 + 5/3 = 0. What is x?
-1, 1/3, 1, 10
Factor 2*a**4/13 + 6*a**3/13 - 2*a**2/13 - 6*a/13.
2*a*(a - 1)*(a + 1)*(a + 3)/13
What is v in 3*v**4 + 39*v**3 + 171*v**2 + 285*v + 150 = 0?
-5, -2, -1
Find d such that 8*d**3 + 10*d**2 - 238*d - 60 = 0.
-6, -1/4, 5
Find r such that -2*r**3 - 852*r**2 - 120984*r - 5726576 = 0.
-142
Determine m so that -m**2/2 + 3*m/2 + 20 = 0.
-5, 8
Factor -2*g**5/17 + 30*g**4/17 - 54*g**3/17 - 486*g**2/17.
-2*g**2*(g - 9)**2*(g + 3)/17
Factor -4*o**4 - 32*o**3 - 88*o**2 - 96*o - 36.
-4*(o + 1)**2*(o + 3)**2
Suppose -4*g**2 + 167*g/2 = 0. Calculate g.
0, 167/8
Factor 3*j**3 - 13*j**2 - 10*j.
j*(j - 5)*(3*j + 2)
Factor 3*h**2 - 204*h.
3*h*(h - 68)
Let -3*j**5/5 - 3*j**4 + 18*j**3 - 30*j**2 + 21*j - 27/5 = 0. What is j?
-9, 1
Factor 14*a**3 - 52*a**2 + 58*a - 20.
2*(a - 2)*(a - 1)*(7*a - 5)
Factor -9*m**3 + 129*m**2 - 159*m + 39.
-3*(m - 13)*(m - 1)*(3*m - 1)
Factor -5*r**2/3 - 50*r/3 - 15.
-5*(r + 1)*(r + 9)/3
Determine f so that 12*f**5/7 + 15*f**4/7 - 93*f**3/7 - 24*f**2 - 36*f/7 = 0.
-2, -1/4, 0, 3
Solve 2*n**3 - 244*n**2 + 6930*n + 31752 = 0 for n.
-4, 63
Find o, given that -o**2 + 19*o - 18 = 0.
1, 18
Determine y so that y**3 - 87*y**2 - 769*y + 855 = 0.
-9, 1, 95
Let 2*u**2/11 - 42*u/11 - 92/11 = 0. Calculate u.
-2, 23
Factor -u**4/6 + 7*u**3/3 - 61*u**2/6 + 14*u - 6.
-(u - 6)**2*(u - 1)**2/6
Factor 5*u**4 - 10*u**3 - 20*u**2 + 40*u.
5*u*(u - 2)**2*(u + 2)
Factor -y**2 - 14*y - 45.
-(y + 5)*(y + 9)
Factor -2*k**4/5 + 252*k**3/5 - 696*k**2 + 3380*k - 5550.
-2*(k - 111)*(k - 5)**3/5
Factor 8*u**2 + 308*u + 152.
4*(u + 38)*(2*u + 1)
Suppose -2*w**5/9 + 2*w**4/3 + 14*w**3/9 - 22*w**2/9 - 4*w/3 + 16/9 = 0. What is w?
-2, -1, 1, 4
Let 5*k**2/6 - 1085*k + 706335/2 = 0. What is k?
651
Suppose 2*r**4 - 22*r**3 = 0. What is r?
0, 11
Factor 3*a**2 + 5910*a + 2910675.
3*(a + 985)**2
Factor m**2 - 25*m - 26.
(m - 26)*(m + 1)
Let 3*o**4/4 - 537*o**3/4 + 531*o**2/4 + 537*o/4 - 267/2 = 0. Calculate o.
-1, 1, 178
Suppose s**4/2 + 3*s**3/2 - s**2 - 6*s - 4 = 0. Calculate s.
-2, -1, 2
Factor 4*s**4 - 60*s**3 + 336*s**2 - 832*s + 768.
4*(s - 4)**3*(s - 3)
Factor z**3 - 27*z**2 + 216*z - 432.
(z - 12)**2*(z - 3)
Find g such that -6*g**4/7 + 6*g**3 + 144*g**2/7 - 96*g - 768/7 = 0.
-4, -1, 4, 8
Factor 3*f**3 + 12*f**2 - 87*f + 72.
3*(f - 3)*(f - 1)*(f + 8)
Let 132*z**2/7 - 124*z/7 - 8/7 = 0. What is z?
-2/33, 1
Factor 4*t**2 - 9260*t/9 + 2056/9.
4*(t - 257)*(9*t - 2)/9
Suppose -2*w**2/7 + 116*w - 810/7 = 0. What is w?
1, 405
Suppose 2*w**4 + 26*w**3 + 78*w**2 - 26*w - 80 = 0. Calculate w.
-8, -5, -1, 1
Find s such that -s**4/2 - 301*s**3/2 - 15150*s**2 - 515000*s - 500000 = 0.
-100, -1
Suppose 4*i**2 + 16*i - 384 = 0. Calculate i.
-12, 8
Determine d, given that -2*d**4/5 + 2*d**3 - 16*d**2/5 + 8*d/5 = 0.
0, 1, 2
Factor -2*m**3/9 + 4*m**2/3 - 10*m/9.
-2*m*(m - 5)*(m - 1)/9
Factor -i**3/4 + 5*i**2/4 + 26*i.
-i*(i - 13)*(i + 8)/4
Let -2*h**2/3 - 164*h - 10086 = 0. What is h?
-123
Solve -4*x**5/9 - 50*x**4/9 - 56*x**3/3 - 8*x**2 = 0.
-6, -1/2, 0
Find d, given that 44*d**5 + 15932*d**4 + 1426916*d**3 - 2769308*d**2 + 1193920*d + 132496 = 0.
-18