culate b.
210
Find l such that 4*l**2 + 480*l - 484 = 0.
-121, 1
Factor -4*b**3/7 - 8*b**2/7 + 80*b/7 - 96/7.
-4*(b - 2)**2*(b + 6)/7
Factor -2*m**2/5 + 4*m/5.
-2*m*(m - 2)/5
Factor -2*y**3 + 736*y**2 - 2920*y + 2912.
-2*(y - 364)*(y - 2)**2
Factor 5*l**3 - 630*l**2 - 1275*l - 640.
5*(l - 128)*(l + 1)**2
Factor -h**2/2 - 290*h + 582.
-(h - 2)*(h + 582)/2
Determine i so that 4*i**4 - 216*i**3 + 3888*i**2 - 23328*i = 0.
0, 18
Solve -l**4/3 - 11*l**3/3 + 14*l**2/3 + 8*l = 0.
-12, -1, 0, 2
Factor 3*u**4 + 99*u**3 + 759*u**2 - 1071*u - 1734.
3*(u - 2)*(u + 1)*(u + 17)**2
Solve 3*h**5 + 39*h**4 + 45*h**3 - 219*h**2 + 132*h = 0 for h.
-11, -4, 0, 1
Suppose 50*h**2/7 - 102*h - 540/7 = 0. What is h?
-18/25, 15
Find u such that 2*u**3/9 + 10*u**2/9 - 16*u/9 - 8/3 = 0.
-6, -1, 2
Factor -3*g**2 + 44*g - 28.
-(g - 14)*(3*g - 2)
Find o such that 12*o**4/5 - 2*o**3/5 - 8*o**2/5 - 2*o/5 = 0.
-1/2, -1/3, 0, 1
Find x, given that 3*x**4/4 - 12*x**3 - 201*x**2/4 + 285*x/2 = 0.
-5, 0, 2, 19
Determine b, given that -b**4/3 + 353*b**3/3 + 709*b**2/3 + 355*b/3 = 0.
-1, 0, 355
Determine g, given that 4*g**5/11 - 10*g**4/11 - 56*g**3/11 + 174*g**2/11 - 72*g/11 = 0.
-4, 0, 1/2, 3
Determine v so that 3*v**2/7 + 3513*v/7 + 10512/7 = 0.
-1168, -3
Factor 5*x**5 - 15*x**4.
5*x**4*(x - 3)
Factor -2*f**2/9 - 4*f/3 + 32/9.
-2*(f - 2)*(f + 8)/9
Determine x, given that x**5/6 + x**4/2 - 13*x**3/2 + 29*x**2/6 + 25*x - 24 = 0.
-8, -2, 1, 3
Let -v**5/3 - 3*v**4 - 19*v**3/3 + 3*v**2 + 20*v/3 = 0. What is v?
-5, -4, -1, 0, 1
Determine r so that -2*r**5/9 + 4*r**4/9 + 8*r**3/3 + 28*r**2/9 + 10*r/9 = 0.
-1, 0, 5
Factor 80*d**3 - 252*d**2 + 28*d + 24.
4*(d - 3)*(4*d + 1)*(5*d - 2)
Suppose -2*f**4/7 - 4*f**3/7 - 2*f**2/7 = 0. Calculate f.
-1, 0
Determine k, given that -k**3 - 57*k**2 - 54*k + 112 = 0.
-56, -2, 1
Let 2*d**3/5 + 6*d**2/5 - 108*d/5 - 224/5 = 0. Calculate d.
-8, -2, 7
Let -c**4/4 + c**3 + 5*c**2/4 = 0. What is c?
-1, 0, 5
Factor 4*x**3 - 876*x**2 - 5380*x - 4500.
4*(x - 225)*(x + 1)*(x + 5)
Factor z**2/4 + 63*z/4 - 16.
(z - 1)*(z + 64)/4
Suppose -2*y**4/7 - 10*y**3 - 192*y**2/7 = 0. Calculate y.
-32, -3, 0
Find d, given that 2*d**4 - 28*d**3 - 176*d**2 - 260*d - 114 = 0.
-3, -1, 19
Factor -4*x**3 - 1212*x**2 - 122412*x - 4121204.
-4*(x + 101)**3
Solve -18*b**3/5 + 60*b**2 - 194*b/5 + 32/5 = 0.
1/3, 16
Solve -5*a**4 - 75*a**3 - 360*a**2 - 540*a = 0.
-6, -3, 0
What is d in 3*d**2 + 21*d + 36 = 0?
-4, -3
Let -4*a**2 - 16*a + 48 = 0. What is a?
-6, 2
Determine j so that -3*j**3/4 - 177*j**2/4 + 363*j/4 - 183/4 = 0.
-61, 1
Find o such that 2*o**2/9 - 4*o + 16 = 0.
6, 12
Factor -r**2/4 + 204*r - 41616.
-(r - 408)**2/4
Determine w so that -2*w**2/5 + 92*w - 5290 = 0.
115
Determine x so that 1024*x**5 - 512*x**4 - 432*x**3 - 76*x**2 - 4*x = 0.
-1/4, -1/8, 0, 1
Solve -2*h**4/3 - 10*h**3/3 + 50*h**2 + 170*h/3 - 308/3 = 0.
-11, -2, 1, 7
Factor -t**3/5 + 713*t**2/5 + 2864*t/5 + 2868/5.
-(t - 717)*(t + 2)**2/5
What is g in -5*g**5 - 150*g**4 - 280*g**3 + 10*g**2 + 285*g + 140 = 0?
-28, -1, 1
Determine g so that -g**3/7 - 4*g**2/7 + g + 10/7 = 0.
-5, -1, 2
Factor -3*n**4 + 321*n**3 + 3*n**2 - 321*n.
-3*n*(n - 107)*(n - 1)*(n + 1)
Let -4*m**5 + 56*m**4 + 200*m**3 + 80*m**2 - 196*m - 136 = 0. What is m?
-2, -1, 1, 17
Suppose -3*c**5/4 - 17*c**4/4 + 81*c**3/4 - 79*c**2/4 + 9*c/2 = 0. What is c?
-9, 0, 1/3, 1, 2
Factor -2*n**2/5 + 98*n/5 + 20.
-2*(n - 50)*(n + 1)/5
Let i**3 + 8*i**2 - 20*i = 0. Calculate i.
-10, 0, 2
Find v such that -27*v**2 - 16650*v - 2566875 = 0.
-925/3
Find m such that 3*m**2 - 393*m - 1620 = 0.
-4, 135
Factor -3*f**3/2 - 6*f**2 + 42*f - 48.
-3*(f - 2)**2*(f + 8)/2
Factor 2*u**2 - 440*u.
2*u*(u - 220)
Factor 4*b**2 - 112*b - 116.
4*(b - 29)*(b + 1)
Factor -9*g**4 + 106*g**3 - 165*g**2 + 48*g + 20.
-(g - 10)*(g - 1)**2*(9*g + 2)
Factor -5*a**3 + 25*a**2 - 35*a + 15.
-5*(a - 3)*(a - 1)**2
Factor 2*p**3/3 + 2*p**2 - 4*p - 16/3.
2*(p - 2)*(p + 1)*(p + 4)/3
Factor k**2/3 + 134*k/3 + 4489/3.
(k + 67)**2/3
Factor -2*g**2 + 9*g - 10.
-(g - 2)*(2*g - 5)
Factor -i**2 + 272*i - 18496.
-(i - 136)**2
Suppose s**3/2 + 9*s**2/2 + 13*s + 12 = 0. Calculate s.
-4, -3, -2
Determine v so that -v**2/3 - v + 10/3 = 0.
-5, 2
Factor k**2 - 5*k - 24.
(k - 8)*(k + 3)
Solve -2*j**5 - 12*j**4 + 2*j**3 + 76*j**2 - 64 = 0.
-4, -1, 1, 2
Factor -2*u**3/9 - 56*u**2/9 + 8*u/9 + 224/9.
-2*(u - 2)*(u + 2)*(u + 28)/9
Factor 3*j**2 - 33*j + 90.
3*(j - 6)*(j - 5)
What is f in -5*f**4/4 - 35*f**3/4 - 85*f**2/4 - 85*f/4 - 15/2 = 0?
-3, -2, -1
Factor -o**2/5 + 40*o + 201/5.
-(o - 201)*(o + 1)/5
Factor -2*q**3 + 173*q**2 - 3784*q + 1849.
-(q - 43)**2*(2*q - 1)
Factor 3*r**5 + 39*r**4 + 144*r**3 + 204*r**2 + 96*r.
3*r*(r + 1)*(r + 2)**2*(r + 8)
Solve -2*t**3/5 - 78*t**2/5 - 1008*t/5 - 864 = 0.
-15, -12
Factor g**3 + 7*g**2/3 - 12*g + 20/3.
(g - 2)*(g + 5)*(3*g - 2)/3
Find z such that -4*z**2 - 984*z - 980 = 0.
-245, -1
Suppose -70*h**5 + 234*h**4 + 820*h**3 - 1200*h**2 = 0. What is h?
-20/7, 0, 6/5, 5
Find w, given that w**4/6 + w**3/2 + w**2/6 - w/2 - 1/3 = 0.
-2, -1, 1
Find s such that 4*s**4 - 1280*s**3 + 101112*s**2 + 206080*s + 103684 = 0.
-1, 161
Solve -3*b**4/2 - 51*b**3/2 - 267*b**2/2 - 489*b/2 - 135 = 0.
-9, -5, -2, -1
Determine q so that 2*q**5/13 + 70*q**4/13 - 18*q**3 - 214*q**2/13 + 544*q/13 + 456/13 = 0.
-38, -1, 2, 3
Factor -h**3/5 + 54*h**2/5 + 111*h/5 + 56/5.
-(h - 56)*(h + 1)**2/5
Find l such that 3*l**4/4 + l**3/4 - 9*l**2/4 + 3*l/4 + 1/2 = 0.
-2, -1/3, 1
Determine s, given that -3*s**2/8 - 405*s/2 + 813/2 = 0.
-542, 2
Determine y, given that 4*y**4 + 38*y**3 + 114*y**2 + 112*y + 32 = 0.
-4, -1, -1/2
Find r such that -r**2/6 + 41*r/6 = 0.
0, 41
Solve 2*s**2 - 8*s - 280 = 0.
-10, 14
Determine z, given that 2*z**4/17 + 14736*z**3/17 + 27158444*z**2/17 + 54272688*z/17 + 27128978/17 = 0.
-3683, -1
Let -i**3 + 4*i**2 - i - 6 = 0. What is i?
-1, 2, 3
Suppose 271*r**4/9 + 815*r**3/9 + 548*r**2/9 + 4*r/9 = 0. What is r?
-2, -1, -2/271, 0
Factor -g**4 + 4*g**3 + g**2 - 4*g.
-g*(g - 4)*(g - 1)*(g + 1)
Solve -2*a**4/7 - 4*a**3/7 + 8*a**2/7 + 16*a/7 = 0 for a.
-2, 0, 2
Factor 2*p**3 + 8*p**2 - 10*p.
2*p*(p - 1)*(p + 5)
Factor 3*w**2/2 - 33*w/2 + 27.
3*(w - 9)*(w - 2)/2
Determine z so that 3*z**2 + 108*z = 0.
-36, 0
Factor -2*y**4/7 - 4*y**3/7 + 40*y**2/7 - 48*y/7.
-2*y*(y - 2)**2*(y + 6)/7
Suppose -2*f**4/7 - 4*f**3 - 78*f**2/7 + 4*f + 80/7 = 0. What is f?
-10, -4, -1, 1
Determine t so that 2*t**5 - 32*t**4 - 402*t**3 - 1168*t**2 - 800*t = 0.
-4, -1, 0, 25
Factor -2*d**3/3 - 20*d**2/3 + 382*d/3 - 120.
-2*(d - 9)*(d - 1)*(d + 20)/3
Determine l so that -3*l**2 - 2418*l - 487227 = 0.
-403
Factor 3*k**2 - 12*k - 36.
3*(k - 6)*(k + 2)
Factor 4*u**3 - 492*u**2 + 968*u.
4*u*(u - 121)*(u - 2)
Factor 5*v**3 - 1515*v**2 + 153015*v - 5151505.
5*(v - 101)**3
Factor -3*r**3 + 189*r**2 - 186*r.
-3*r*(r - 62)*(r - 1)
Find p, given that -102*p**2/7 - 150*p/7 - 48/7 = 0.
-1, -8/17
Determine o, given that -3*o**5 + 72*o**4 - 540*o**3 + 1296*o**2 = 0.
0, 6, 12
Factor z**2/5 + 8*z - 41/5.
(z - 1)*(z + 41)/5
Determine x, given that -21*x**2/5 + 849*x/5 - 72 = 0.
3/7, 40
Factor 2*l**2/3 + 94*l/3 + 60.
2*(l + 2)*(l + 45)/3
Suppose 2*g**5 - 90*g**4 + 516*g**3 + 11516*g**2 + 21114*g + 10206 = 0. Calculate g.
-7, -1, 27
Find s, given that -2*s**5/9 - 8*s**4/9 + 22*s**3/9 - 4*s**2/3 = 0.
-6, 0, 1
Factor 3*y**3 - 6*y**2 - 9*y.
3*y*(y - 3)*(y + 1)
Let -2*b**2/23 + 992*b/23 - 123008/23 = 0. What is b?
248
Factor -2*c**2/5 + 28*c/5 - 26/5.
-2*(c - 13)*(c - 1)/5
Factor d**5 - 167*d**4 - d**3 + 167*d**2.
d**2*(d - 167)*(d - 1)*(d + 1)
Factor 3*b**4/2 - 63*b**3/2 - 135*b**2/2 - 69*b/2.
3*b*(b - 23)*(b + 1)**2/2
Find n such that -3*n**4 - 42*n**3 + 579*n**2 - 966*n = 0.
-23, 0, 2, 7
Let -2*k**4/7 - 200*k**3/7 + 58*k**2 - 204*k/7 = 0. What is k?
-102, 0, 1
Suppose 25*j**4/4 + 265*j**3/2 - 1159*j**2 + 862*j - 168 = 0. What is j?
-28, 2/5, 6
Factor y**3/2 + 7611*y**2/2 + 7239012*y - 7242818.
(y - 1)*(y + 3806)**2/2
Determine f, given that -f**2/4 + 533*f/4 + 267/2 = 0.
-1, 534
Factor -5*t**3 + 1030*t**2.
-5*t**2*(t - 206)
Let 4*y**5 - 12*y**3 - 8*y**2 = 0. Calculate y.
-1, 0, 2
Factor -b**2/3 - 353*b/3 - 352/3.
-(b + 1)*(b + 352)/3
Suppose -2*o**2/11 - 172*o/11 - 3698/11 = 0. Calculate o.
-43
Factor -49*n**3/2 + 74*n**2 - 101*n/2 + 1.
-(n -