*f**4/8 - 75*f**3/2 + 813*f**2/2 - 1332*f - 1080 = 0. Calculate f.
-2/3, 10, 12
Factor 5*d**2/6 - 1955*d/3 + 3905/6.
5*(d - 781)*(d - 1)/6
Solve 4*p**5/5 + 18*p**4/5 - 52*p**2/5 + 12*p/5 + 18/5 = 0.
-3, -1/2, 1
Factor l**4 + 6*l**3.
l**3*(l + 6)
Solve -4*w**3/7 - 26*w**2 + 94*w/7 + 92/7 = 0 for w.
-46, -1/2, 1
Solve 2*b**4/5 + 4*b**3 - 30*b**2 - 200*b + 1000 = 0 for b.
-10, 5
What is x in -x**5 + 180*x**4/7 - 123*x**3/7 - 50*x**2/7 = 0?
-2/7, 0, 1, 25
Let -4*s**5 + 4*s**4 + 48*s**3 + 16*s**2 - 64*s = 0. What is s?
-2, 0, 1, 4
Factor j**5/3 - j**4 - 2*j**3 + 8*j**2/3.
j**2*(j - 4)*(j - 1)*(j + 2)/3
Solve -v**2/3 - 38*v + 232/3 = 0.
-116, 2
Let -p**5/3 - 14*p**4/3 - 23*p**3 - 140*p**2/3 - 100*p/3 = 0. Calculate p.
-5, -2, 0
Factor -4*m**4/5 - 36*m**3/5.
-4*m**3*(m + 9)/5
Solve 15*m**4 - 24*m**3 - 12*m**2 = 0 for m.
-2/5, 0, 2
Factor x**5 + 73*x**4 + 655*x**3 + 1575*x**2.
x**2*(x + 5)**2*(x + 63)
Factor -3*t**2/4 + 72*t + 795.
-3*(t - 106)*(t + 10)/4
Factor -15*d**3 + 5*d**2 + 15*d - 5.
-5*(d - 1)*(d + 1)*(3*d - 1)
Determine p, given that -p**5/9 - 290*p**4/9 - 19525*p**3/9 + 72500*p**2/3 - 62500*p = 0.
-150, 0, 5
Factor -2*u**2 - 7440*u - 6919200.
-2*(u + 1860)**2
Suppose -4*c**3 - 5200*c**2 + 20848*c - 20864 = 0. What is c?
-1304, 2
Determine b, given that b**3 - 60*b**2 - 63*b + 122 = 0.
-2, 1, 61
Factor -33*n**3 + 6*n**2 + 33*n - 6.
-3*(n - 1)*(n + 1)*(11*n - 2)
What is f in -8*f**5 - 122*f**4 - 6*f**3 + 382*f**2 + 334*f + 60 = 0?
-15, -1, -1/4, 2
Factor -2*g**5 - 14*g**4 + 4*g**3 + 92*g**2 - 130*g + 50.
-2*(g - 1)**3*(g + 5)**2
Determine k so that -4*k**2/3 + 40*k/3 + 100 = 0.
-5, 15
Determine z so that -32*z**4 - 16*z**3 + 78*z**2 - 34*z + 4 = 0.
-2, 1/4, 1
Factor -5*v**2 + 430*v - 9245.
-5*(v - 43)**2
What is m in 5*m**2 + 25*m + 20 = 0?
-4, -1
Find a such that -a**2/3 + 10*a/3 + 200/3 = 0.
-10, 20
Find i such that 6*i**2 + 56*i - 40 = 0.
-10, 2/3
Suppose t**2/6 - 28*t/3 + 55/6 = 0. What is t?
1, 55
Factor 15*b**3/7 + 1431*b**2/7 + 570*b/7.
3*b*(b + 95)*(5*b + 2)/7
Solve -4*w**4 + 8596*w**3 - 6151860*w**2 + 1462069116*w + 2948814504 = 0 for w.
-2, 717
Solve -4*c**2 + 4080*c - 1040400 = 0 for c.
510
Factor f**4 - 19*f**3 + 18*f**2.
f**2*(f - 18)*(f - 1)
Solve -8*k**3/17 + 3690*k**2/17 - 4602*k/17 + 920/17 = 0.
1/4, 1, 460
Let -r**5 + r**4 = 0. Calculate r.
0, 1
Find b such that b**4 - 9*b**3 + 21*b**2 - 19*b + 6 = 0.
1, 6
Factor 3*v**5/2 - 381*v**4 + 1515*v**3/2 - 378*v**2.
3*v**2*(v - 252)*(v - 1)**2/2
Factor -3*v**2 + 168*v - 1845.
-3*(v - 41)*(v - 15)
Determine l so that -2*l**5/5 - 22*l**4/5 + 28*l**3/5 + 48*l**2/5 = 0.
-12, -1, 0, 2
Let -4*i**3 - 3888*i**2 - 1259712*i - 136048896 = 0. What is i?
-324
Factor 4*y**3/3 - 8*y**2/3 - 4*y/3 + 8/3.
4*(y - 2)*(y - 1)*(y + 1)/3
Find a, given that -a**2/3 - 37*a/3 + 2108/3 = 0.
-68, 31
What is l in 2*l**3 + 528*l**2 + 46464*l + 1362944 = 0?
-88
Suppose -4*r**2 - 2360*r - 348100 = 0. Calculate r.
-295
Suppose -3*z**3/2 + 195*z**2 - 6528*z + 12288 = 0. Calculate z.
2, 64
Factor 4*c**5 + 12*c**4 - 68*c**3 - 156*c**2 - 80*c.
4*c*(c - 4)*(c + 1)**2*(c + 5)
Factor w**3/4 + 51*w**2/4 + 126*w - 980.
(w - 5)*(w + 28)**2/4
Factor 5*n**2 - 1595*n + 1590.
5*(n - 318)*(n - 1)
Factor -605*q**2 + 110*q - 5.
-5*(11*q - 1)**2
What is y in y**3/9 - 26*y**2/9 + 16*y/3 = 0?
0, 2, 24
Let 5*a**5 + 130*a**4 + 235*a**3 - 130*a**2 - 240*a = 0. Calculate a.
-24, -2, -1, 0, 1
Suppose k**5 + 55*k**4 + 207*k**3 + 149*k**2 - 208*k - 204 = 0. What is k?
-51, -2, -1, 1
Factor 4*x**5 + 4*x**4 - 16*x**3 - 16*x**2.
4*x**2*(x - 2)*(x + 1)*(x + 2)
Factor 2*n**5 - 10*n**4 + 18*n**3 - 14*n**2 + 4*n.
2*n*(n - 2)*(n - 1)**3
Find o such that 2*o**4 - 6*o**3 - 38*o**2 + 6*o + 36 = 0.
-3, -1, 1, 6
Solve -v**3 + 108*v**2 - 3888*v + 46656 = 0 for v.
36
Determine h, given that 4*h**4/7 + 32*h**3/7 - 4*h**2/7 - 32*h/7 = 0.
-8, -1, 0, 1
Determine l, given that 4*l**3 + 36*l**2 - 40*l = 0.
-10, 0, 1
Let -12*a**5/5 + 108*a**4/5 + 429*a**3/5 + 72*a**2/5 - 444*a/5 + 144/5 = 0. What is a?
-2, 1/2, 12
What is s in -3*s**3 + 60*s**2 + 201*s + 138 = 0?
-2, -1, 23
What is s in -s**4/4 + 13*s**3/2 + 29*s**2 + 30*s = 0?
-2, 0, 30
What is l in -l**5/3 - 14*l**4/3 + 295*l**3/3 - 1432*l**2/3 + 720*l = 0?
-27, 0, 4, 5
Factor -2*a**3 - 33*a**2 - 46*a - 15.
-(a + 1)*(a + 15)*(2*a + 1)
Factor -j**3/4 - 75*j**2/4 - 1367*j/4 + 1443/4.
-(j - 1)*(j + 37)*(j + 39)/4
Suppose -108*w**3 - 8*w**2 = 0. What is w?
-2/27, 0
Factor 2*l**2/15 - 32*l/15 - 32/3.
2*(l - 20)*(l + 4)/15
Factor 2*g**3 - 168*g**2 - 344*g.
2*g*(g - 86)*(g + 2)
Determine b, given that 2*b**5/9 - 8*b**4/9 - 58*b**3/9 - 16*b**2/3 = 0.
-3, -1, 0, 8
Factor 2*l**4/5 + 8*l**3/5 + 2*l**2/5 - 12*l/5.
2*l*(l - 1)*(l + 2)*(l + 3)/5
Factor -t**2/6 - 47*t/3 - 2209/6.
-(t + 47)**2/6
Find i, given that 3*i**3/7 + 138*i**2/7 + 1716*i/7 + 2904/7 = 0.
-22, -2
What is m in -3*m**4 - 7854*m**3 - 5140443*m**2 = 0?
-1309, 0
Factor 3*v**2 + 45*v - 102.
3*(v - 2)*(v + 17)
Determine z, given that -5*z**2 + 140*z = 0.
0, 28
Factor -q**2 + 156*q - 155.
-(q - 155)*(q - 1)
Factor 4*n**4 - 4*n**3.
4*n**3*(n - 1)
Suppose -2*m**2 - 584*m - 42632 = 0. Calculate m.
-146
What is n in 2*n**2/19 - 122*n/19 + 120/19 = 0?
1, 60
Suppose -s**4/8 + s**3/8 = 0. What is s?
0, 1
Let -k**4/2 + 136*k**3 - 13872*k**2 + 628864*k - 10690688 = 0. Calculate k.
68
What is m in -14*m**5/9 - 332*m**4/9 - 178*m**3/3 - 128*m**2/9 + 88*m/9 = 0?
-22, -1, 0, 2/7
Find i, given that 45*i**5 + 3630*i**4 + 5855*i**3 - 5590*i**2 - 4700*i + 3160 = 0.
-79, -2, -1, 2/3
Factor -5*s**2 - 1440*s.
-5*s*(s + 288)
Factor -21*q**2 - 27*q - 6.
-3*(q + 1)*(7*q + 2)
Factor -3*l**2/4 - 3*l/2.
-3*l*(l + 2)/4
Factor -y**3/2 + 23*y**2/2 - 91*y/2 - 507/2.
-(y - 13)**2*(y + 3)/2
Solve -5*x**4 + 35*x**3 - 75*x**2 + 65*x - 20 = 0 for x.
1, 4
Find s, given that -2*s**4/11 - 186*s**3/11 - 16*s**2 + 744*s/11 + 736/11 = 0.
-92, -2, -1, 2
Factor -a**2/5 - 38*a.
-a*(a + 190)/5
Solve b**5 + 58*b**4 - 242*b**3 + 368*b**2 - 247*b + 62 = 0 for b.
-62, 1
Factor -k**5/4 - 14*k**4 - 363*k**3/2 + 406*k**2 - 841*k/4.
-k*(k - 1)**2*(k + 29)**2/4
Factor 2*s**2/13 + 34*s/13 + 60/13.
2*(s + 2)*(s + 15)/13
What is m in 27*m**5/2 + 174*m**4 + 1898*m**3/3 + 896*m**2 + 480*m + 256/3 = 0?
-8, -2, -4/9
Factor 3*t**3/5 + 162*t**2/5 + 435*t + 2016/5.
3*(t + 1)*(t + 21)*(t + 32)/5
Factor 3*h**3 - 93*h**2 + 174*h.
3*h*(h - 29)*(h - 2)
Factor -7*z**2/6 + 2347*z + 2012/3.
-(z - 2012)*(7*z + 2)/6
Suppose -3*s**2 - 1965*s - 9750 = 0. Calculate s.
-650, -5
Factor -p**5/6 - p**4/2 + 5*p**3/3.
-p**3*(p - 2)*(p + 5)/6
What is z in -z**4 - 468*z**3 - 54286*z**2 + 109980*z - 55225 = 0?
-235, 1
Factor -2*x**4 - 50*x**3 + 418*x**2 - 942*x + 576.
-2*(x - 3)**2*(x - 1)*(x + 32)
Factor 6*r**3 - 25*r**2 + 28*r - 4.
(r - 2)**2*(6*r - 1)
Factor 49*j**4 + 28*j**3 + 4*j**2.
j**2*(7*j + 2)**2
Factor g**3/3 + 13*g**2 + 32*g/3 - 76.
(g - 2)*(g + 3)*(g + 38)/3
Factor f**4/2 - 9*f**3 + 85*f**2/2 - 250.
(f - 10)*(f - 5)**2*(f + 2)/2
What is z in 4*z**2/5 - 34*z/5 + 16/5 = 0?
1/2, 8
Factor -2*h**2 + 968*h - 117128.
-2*(h - 242)**2
Factor 2*d**3/17 - 10*d**2/17 - 84*d/17 + 288/17.
2*(d - 8)*(d - 3)*(d + 6)/17
Find r such that -4*r**4 + 108*r**3 + 112*r**2 = 0.
-1, 0, 28
Solve v**2/2 - 30*v + 59/2 = 0 for v.
1, 59
Suppose -3*q**5/2 + 15*q**4/2 + 3*q**3/2 - 123*q**2/2 + 108*q - 54 = 0. What is q?
-3, 1, 2, 3
Find m, given that -8*m**3 - 164*m**2/7 - 100*m/7 + 8/7 = 0.
-2, -1, 1/14
Suppose -2*a**4/9 - 4*a**3 + 26*a**2/3 - 40*a/9 = 0. What is a?
-20, 0, 1
What is v in -v**2 + 5*v + 594 = 0?
-22, 27
Factor 5*j**2 - 650*j.
5*j*(j - 130)
Find k, given that -5*k**2/4 + 305*k/4 = 0.
0, 61
Suppose -5*i**5 - 35*i**4 - 75*i**3 - 65*i**2 - 20*i = 0. What is i?
-4, -1, 0
Factor -4*d**3 + 3900*d**2 - 952572*d + 948676.
-4*(d - 487)**2*(d - 1)
What is j in -4*j**4 + 16*j**3 - 64*j + 64 = 0?
-2, 2
Factor -2*n**4/5 - 8*n**3/5.
-2*n**3*(n + 4)/5
Factor -5*l**4 + 115*l**3 - 110*l**2.
-5*l**2*(l - 22)*(l - 1)
Let -r**2 - 58*r + 120 = 0. What is r?
-60, 2
Factor -5*w**3 - 460*w**2 - 1735*w + 2200.
-5*(w - 1)*(w + 5)*(w + 88)
Solve -l**5/4 + 325*l**4/4 - 26567*l**3/4 + 25919*l**2/4 + 6642*l - 6561 = 0 for l.
-1, 1, 162
Determine u so that -2*u**3 + 10*u**2 + 28*u = 0.
-2, 0, 7
Factor 2*w**2/3 + 200*w/3 + 5000/3.
2*(w + 50)**2/3
Factor -v**2 - 340*v - 339.
-