iven that 7*b**5/5 - 44*b**4/5 + 33*b**3/5 + 64*b**2/5 - 4*b = 0.
-1, 0, 2/7, 2, 5
Factor 5*a**5 - 55*a**4 + 220*a**3 - 380*a**2 + 240*a.
5*a*(a - 4)*(a - 3)*(a - 2)**2
Suppose 20*m**5 + 1212*m**4 - 4288*m**3 + 4080*m**2 - 1024*m = 0. Calculate m.
-64, 0, 2/5, 1, 2
Factor 8*o**2/7 - 814*o/7 - 204/7.
2*(o - 102)*(4*o + 1)/7
Solve f**3 + 7*f**2 - 18*f = 0 for f.
-9, 0, 2
Determine g, given that 2*g**4/17 - 2*g**3/17 - 2*g**2/17 + 2*g/17 = 0.
-1, 0, 1
Factor -2*t**3/3 + 12*t**2.
-2*t**2*(t - 18)/3
Factor -4*x**4 - 180*x**3 - 1932*x**2 - 6076*x.
-4*x*(x + 7)**2*(x + 31)
Solve -2*r**5/7 + 40*r**4/7 - 46*r**3/7 - 544*r**2/7 + 1416*r/7 - 864/7 = 0.
-4, 1, 2, 3, 18
Factor -3*y**4 - 585*y**3 - 28809*y**2 - 28227*y.
-3*y*(y + 1)*(y + 97)**2
Determine y, given that y**4/2 - 119*y**3/2 + 1734*y**2 + 2520*y - 21600 = 0.
-4, 3, 60
Factor 2*a**2 + 4*a - 70.
2*(a - 5)*(a + 7)
Solve -4*u**3 - 312*u**2 + 1296*u - 1312 = 0 for u.
-82, 2
Factor 2*l**2/13 - 16*l/13 - 18/13.
2*(l - 9)*(l + 1)/13
Find q, given that 3*q**4/7 - 129*q**2/7 + 450*q/7 - 432/7 = 0.
-8, 2, 3
Suppose 5*q**4 - 100*q**3 + 85*q**2 + 190*q = 0. Calculate q.
-1, 0, 2, 19
Determine a, given that 4*a**5/5 + 12*a**4/5 - 16*a**3 + 256*a/5 - 192/5 = 0.
-6, -2, 1, 2
Suppose 2*f**4 + 80*f**3 + 78*f**2 = 0. Calculate f.
-39, -1, 0
Factor p**3/4 - 7*p**2/2 + 14*p - 16.
(p - 8)*(p - 4)*(p - 2)/4
Factor t**5 - 4*t**4 - 12*t**3 - 2*t**2 + 11*t + 6.
(t - 6)*(t - 1)*(t + 1)**3
Suppose 32*q**5 - 464*q**4/3 - 110*q**3 + 1436*q**2/3 - 322*q + 60 = 0. Calculate q.
-2, 1/3, 3/4, 5
Determine l so that 3*l**4 - 30*l**3 + 75*l**2 = 0.
0, 5
Factor -5*a**5 + 5*a**4 + 25*a**3 + 15*a**2.
-5*a**2*(a - 3)*(a + 1)**2
Solve m**4/3 - 27*m**3 + 585*m**2 - 1521*m = 0.
0, 3, 39
Let -39*b**2 + 159*b - 126 = 0. What is b?
14/13, 3
Solve -2*i**4 - 4*i**3 - 2*i**2 = 0 for i.
-1, 0
Let 5*c**3/3 + 217*c**2/3 - 119*c + 45 = 0. What is c?
-45, 3/5, 1
Factor 2*y**3 - 428*y**2.
2*y**2*(y - 214)
Solve 5*c**4/3 - 293*c**3/3 - 418*c**2/3 - 40*c = 0 for c.
-1, -2/5, 0, 60
Solve 4*r**5/3 + 4*r**4/3 - 7*r**3 + 3*r**2 = 0 for r.
-3, 0, 1/2, 3/2
Factor k**2/2 + 1047*k/2 + 523.
(k + 1)*(k + 1046)/2
Let -13*v**2/2 - 225*v/2 - 225 = 0. What is v?
-15, -30/13
Suppose -18*c**3 - 258*c**2 - 782*c + 1058 = 0. Calculate c.
-23/3, 1
Factor 18*d**4 - 68*d**3 + 74*d**2 - 16*d - 8.
2*(d - 2)*(d - 1)**2*(9*d + 2)
Factor -4*t**3 + 4108*t**2 - 8204*t + 4100.
-4*(t - 1025)*(t - 1)**2
Factor 204*l**4/5 + 824*l**3/5 + 848*l**2/5 + 32*l/5.
4*l*(l + 2)**2*(51*l + 2)/5
Factor 2*j**2/7 - 12*j + 82/7.
2*(j - 41)*(j - 1)/7
Factor -4*m**5 + 48*m**4 + 108*m**3 + 56*m**2.
-4*m**2*(m - 14)*(m + 1)**2
Factor -3*v**3 + 19*v**2 - 22*v - 24.
-(v - 4)*(v - 3)*(3*v + 2)
Determine l, given that -34*l**5/7 + 96*l**4/7 - 50*l**3/7 - 12*l**2/7 = 0.
-3/17, 0, 1, 2
Solve 5*c**4 + 5*c**3 - 35*c**2 - 65*c - 30 = 0.
-2, -1, 3
Factor 2*x**2/7 + 92*x/7 + 1058/7.
2*(x + 23)**2/7
Factor 5*x**3 + 230*x**2.
5*x**2*(x + 46)
Suppose 3*f**2/5 - 1272*f/5 + 134832/5 = 0. Calculate f.
212
What is j in 6*j**3 - 423*j**2 - 213*j = 0?
-1/2, 0, 71
What is y in -14*y**5/3 + 158*y**4/3 + 102*y**3 + 82*y**2/3 - 52*y/3 = 0?
-1, 0, 2/7, 13
Factor -2*u**2/17 - 27968*u/17 - 97776128/17.
-2*(u + 6992)**2/17
Solve 2*l**3 + 306*l**2 - 1266*l - 1570 = 0.
-157, -1, 5
Determine q, given that 3*q**3 + 222*q**2 + 1251*q + 1836 = 0.
-68, -3
Find q such that -2*q**5/11 - 18*q**4/11 - 6*q**3/11 + 74*q**2/11 - 48*q/11 = 0.
-8, -3, 0, 1
Factor 4*h**2 + 32*h - 612.
4*(h - 9)*(h + 17)
Factor 9*k**2 - 33*k + 30.
3*(k - 2)*(3*k - 5)
Factor x**3/6 + 505*x**2/3 - 2023*x/6 + 506/3.
(x - 1)**2*(x + 1012)/6
Factor 5*x**2 - 6975*x - 6980.
5*(x - 1396)*(x + 1)
Determine n so that -n**2 - 9*n + 70 = 0.
-14, 5
Find x such that 8*x**3 + 84*x**2 + 240*x + 100 = 0.
-5, -1/2
Determine a, given that 2*a**3/7 + 4*a**2/7 - 10*a/7 - 12/7 = 0.
-3, -1, 2
Suppose -89373*v**3 + 103788*v**2 - 40176*v + 5184 = 0. Calculate v.
12/31
Factor -2*y**3/5 + 44*y**2/5 - 302*y/5 + 132.
-2*(y - 11)*(y - 6)*(y - 5)/5
Factor 3*l**4/8 + 27*l**3/8 + 9*l**2/8 - 111*l/8 + 9.
3*(l - 1)**2*(l + 3)*(l + 8)/8
Solve p**3 + p**2 - 4*p - 4 = 0 for p.
-2, -1, 2
Factor -5*m**2/2 + 395*m + 2415/2.
-5*(m - 161)*(m + 3)/2
Suppose 3*x**2/4 - 9*x/2 + 27/4 = 0. Calculate x.
3
Find y such that -2*y**3/19 - 16*y**2/19 + 18*y/19 = 0.
-9, 0, 1
Suppose -2*y**3/5 - 8*y**2/5 + 22*y/5 - 12/5 = 0. Calculate y.
-6, 1
Factor o**3/4 + 9*o**2/4 - 30*o + 68.
(o - 4)**2*(o + 17)/4
Factor -2*n**2/3 + 1508*n + 9056/3.
-2*(n - 2264)*(n + 2)/3
Factor -4*n**4 - 116*n**3 - 256*n**2 + 10224*n + 10368.
-4*(n - 8)*(n + 1)*(n + 18)**2
Factor 10*a**4 - 24*a**3 - 72*a**2 + 32*a.
2*a*(a - 4)*(a + 2)*(5*a - 2)
What is y in y**2/2 - 9*y + 17/2 = 0?
1, 17
Factor -2*k**4/3 + 4*k**3/3 + 6*k**2 - 12*k.
-2*k*(k - 3)*(k - 2)*(k + 3)/3
Determine w so that -w**2/6 - 127*w/3 - 1220/3 = 0.
-244, -10
Suppose 2*c**5/9 + 8*c**4/9 - 50*c**3/9 - 56*c**2/9 = 0. What is c?
-7, -1, 0, 4
Factor t**5/9 + 14*t**4/9 + 20*t**3/3 + 8*t**2.
t**2*(t + 2)*(t + 6)**2/9
Factor 4*o**2 + 1272*o.
4*o*(o + 318)
Factor -2*v**3 + 74*v**2 - 846*v + 3078.
-2*(v - 19)*(v - 9)**2
Suppose 5*v**5 - 75*v**4 - 80*v**3 = 0. What is v?
-1, 0, 16
What is h in -2*h**5/21 + 6*h**4/7 + 4*h**3/3 - 100*h**2/7 - 86*h/3 - 14 = 0?
-3, -1, 7
Suppose 18*h**5/7 - 60*h**4/7 - 520*h**3/7 + 2480*h**2/7 - 2560*h/7 + 768/7 = 0. Calculate h.
-6, 2/3, 4
Factor 4*b**5 - 136*b**4 - 288*b**3 - 8*b**2 + 284*b + 144.
4*(b - 36)*(b - 1)*(b + 1)**3
Solve -3*b**3/5 - 9*b**2 = 0.
-15, 0
Suppose 14*v**3 + 24*v**2 + 10*v = 0. What is v?
-1, -5/7, 0
Factor -15*c**2 + 220*c + 75.
-5*(c - 15)*(3*c + 1)
Determine m so that m**4 + 3*m**3 + 2*m**2 = 0.
-2, -1, 0
Solve -5*r**2 - 40*r + 100 = 0 for r.
-10, 2
Factor -5*q**5 + 10*q**4 + 60*q**3 + 70*q**2 + 25*q.
-5*q*(q - 5)*(q + 1)**3
Factor -4*b**3/5 + 156*b**2/5 - 1596*b/5 + 1444/5.
-4*(b - 19)**2*(b - 1)/5
Factor 2*b**3 + 19*b**2/2 - 101*b/2 + 12.
(b - 3)*(b + 8)*(4*b - 1)/2
Factor -2*u**4/7 - 66*u**3/7 - 64*u**2/7.
-2*u**2*(u + 1)*(u + 32)/7
Factor y**4 + 6*y**3 + 9*y**2 + 4*y.
y*(y + 1)**2*(y + 4)
What is h in -2*h**4/17 - 80*h**3/17 = 0?
-40, 0
Factor 2*t**4/5 + 122*t**3/5 + 1038*t**2/5 + 918*t/5.
2*t*(t + 1)*(t + 9)*(t + 51)/5
Suppose 4*c**2 + 80*c - 276 = 0. What is c?
-23, 3
Let -x**2/6 + 101*x/6 - 455/3 = 0. Calculate x.
10, 91
Suppose -k**3/2 + 78*k**2 - 4056*k + 70304 = 0. What is k?
52
Determine y, given that -8*y**3/3 + 460*y**2 - 19952*y + 29584/3 = 0.
1/2, 86
Factor 2*t**2/13 - 448*t/13 + 25088/13.
2*(t - 112)**2/13
Factor -2*h**2/7 + 8*h/7 + 64/7.
-2*(h - 8)*(h + 4)/7
What is c in -c**5 - 21*c**4 - 72*c**3 - 68*c**2 = 0?
-17, -2, 0
Factor 4*n**2/3 + 4*n - 16/3.
4*(n - 1)*(n + 4)/3
Let 6*j**5/11 - 16*j**4/11 + 12*j**3/11 - 2*j/11 = 0. What is j?
-1/3, 0, 1
What is p in -8*p**4 + 180*p**3 + 296*p**2 - 180*p - 288 = 0?
-3/2, -1, 1, 24
Factor k**5/4 - 3*k**4/2 - 2*k**3 + 3*k**2/2 + 7*k/4.
k*(k - 7)*(k - 1)*(k + 1)**2/4
Factor -4*h**3 - 772*h**2 - 2280*h.
-4*h*(h + 3)*(h + 190)
Factor g**3/2 + 57*g**2/2 + 495*g/2 + 1175/2.
(g + 5)**2*(g + 47)/2
Suppose -v**2/6 - 19*v/6 + 10/3 = 0. What is v?
-20, 1
Factor -2*w**2/5 + 7272*w/5 - 6610248/5.
-2*(w - 1818)**2/5
What is t in -5*t**2 - 215*t + 450 = 0?
-45, 2
Suppose 2*v**3 - 2*v = 0. What is v?
-1, 0, 1
Let -a**2/2 - 79*a/2 = 0. What is a?
-79, 0
Solve -h**2 - 758*h - 143641 = 0.
-379
Determine w so that -3*w**3/5 + 54*w**2/5 - 288*w/5 + 384/5 = 0.
2, 8
Find z, given that -2*z**3 + 448*z**2 + 450*z = 0.
-1, 0, 225
Factor -b**2 + 2458*b - 1510441.
-(b - 1229)**2
Factor -2*w**3/5 - 28*w**2/5 + 62*w/5 - 32/5.
-2*(w - 1)**2*(w + 16)/5
Factor -a**4/6 + 1574*a**3/3 - 550725*a**2 + 578810926*a/3 - 1154320649/6.
-(a - 1049)**3*(a - 1)/6
Find r such that 2*r**3 - 1160*r**2 + 11450*r - 28500 = 0.
5, 570
Let 2*s**3 - 140*s**2 - 584*s - 592 = 0. Calculate s.
-2, 74
Factor 3*j**3/7 - 30*j**2/7 - 3*j + 84.
3*(j - 7)**2*(j + 4)/7
Determine o, given that 56*o**5 + 124*o**4 - 12*o**3 - 64*o**2 + 16*o = 0.
-2, -1, 0, 2/7, 1/2
Suppose 2*a**4/5 + 22*a**3/5 + 18*a**2/5 - 22*a/5 - 4 = 0. Calculate a.
-10, -1, 1
Factor -14*u**5 - 36*u**4 - 30*u**3 - 8*u**2.
-2*u**2*(u + 1)**2*(7*u + 4)
Let 2*q**5/9 + 4*q**4/3 + 2*q**3 - 8*q**2/9 - 8*q/3 = 0. Calculate q.
-3, -2, 0, 1
Factor -2*i**3/7 - 240*i**2/7 + 246*