**4 + 48*b**3 + 40*b**2 + 12*b.
4*b*(b + 1)**3*(b + 3)
Let v**2/4 - 69*v/2 + 4761/4 = 0. What is v?
69
Let -5*s**4 + 32*s**3 + 113*s**2 + 40*s - 36 = 0. Calculate s.
-2, -1, 2/5, 9
Factor -b**5/8 - 17*b**4/8 - 10*b**3 - 8*b**2.
-b**2*(b + 1)*(b + 8)**2/8
Let -2*u**4 + 4*u**3 + 26*u**2 - 28*u - 48 = 0. What is u?
-3, -1, 2, 4
Determine r, given that 5*r**5 + 5*r**4 - 105*r**3 - 225*r**2 = 0.
-3, 0, 5
Factor 2*b**3/11 - 102*b**2/11 - 104*b/11.
2*b*(b - 52)*(b + 1)/11
Suppose 5*f**3 + 15*f**2 + 10*f = 0. Calculate f.
-2, -1, 0
Factor 6*h**3 - 2745*h**2/2 + 79002*h - 58482.
3*(h - 114)**2*(4*h - 3)/2
Suppose h**3/2 - 113*h**2/2 + 56*h = 0. What is h?
0, 1, 112
Suppose -c**5/2 - 12*c**4 - 57*c**3/2 + 499*c**2 - 1230*c + 900 = 0. Calculate c.
-15, 2
Factor -2*g**4/21 + 118*g**3/21 - 440*g**2/21.
-2*g**2*(g - 55)*(g - 4)/21
Factor -3*z**2 + 66*z + 1089.
-3*(z - 33)*(z + 11)
Factor 2*p**3/3 + 32*p**2/3 - 34*p/3.
2*p*(p - 1)*(p + 17)/3
Factor -h**4/8 - h**3/2 - 5*h**2/8 - h/4.
-h*(h + 1)**2*(h + 2)/8
Factor -5*n**4 + 995*n**3.
-5*n**3*(n - 199)
Find i, given that 2*i**3/9 - 1498*i**2/9 + 1492*i/9 + 2992/9 = 0.
-1, 2, 748
Find v such that v**3/3 - 143*v**2/3 - 195*v - 147 = 0.
-3, -1, 147
Factor p**4/6 - p**2/6.
p**2*(p - 1)*(p + 1)/6
Factor 4*c**4 - 304*c**3 + 6552*c**2 - 27440*c - 34300.
4*(c - 35)**2*(c - 7)*(c + 1)
Suppose -5*f**4 + 785*f**3 - 3080*f**2 + 3060*f = 0. Calculate f.
0, 2, 153
Solve -5*d**3/4 + 141*d**2/2 - 163*d + 54 = 0 for d.
2/5, 2, 54
Find w such that -w**4/6 + 7*w**3/6 + 11*w**2/3 - 44*w/3 - 32 = 0.
-3, -2, 4, 8
Solve 12*j**4 + 26*j**3 + 12*j**2 - 6*j - 4 = 0 for j.
-1, -2/3, 1/2
Factor -155*n**2 - 185*n - 30.
-5*(n + 1)*(31*n + 6)
Factor -2*c**5/3 - 32*c**4/15 - 12*c**3/5 - 16*c**2/15 - 2*c/15.
-2*c*(c + 1)**3*(5*c + 1)/15
Let -a**3/3 - 11*a**2/3 - 13*a - 15 = 0. What is a?
-5, -3
Suppose -8*m**5/9 - 82*m**4/9 + 76*m**3/9 + 104*m**2/9 - 68*m/9 - 22/9 = 0. What is m?
-11, -1, -1/4, 1
Determine g so that 2*g**5 - 170*g**4/3 + 1504*g**3/3 - 1040*g**2 - 8800*g/3 - 4000/3 = 0.
-1, -2/3, 10
Factor -s**3 + 8*s**2 - 7*s.
-s*(s - 7)*(s - 1)
Factor -2*y**2 - 22*y - 36.
-2*(y + 2)*(y + 9)
Determine m so that -11*m**4 + 46*m**3 + 3*m**2 - 46*m + 8 = 0.
-1, 2/11, 1, 4
Factor k**4/7 + 11*k**3/7 + 19*k**2/7 + 9*k/7.
k*(k + 1)**2*(k + 9)/7
Solve -2*k**3/3 - 14*k**2 - 12*k + 80/3 = 0.
-20, -2, 1
Determine s, given that s**2/3 - 9566*s/3 + 22877089/3 = 0.
4783
Find s such that 27*s**3 + 114*s**2 + 132*s + 24 = 0.
-2, -2/9
Factor -2*v**2/9 - 244*v/9 - 242/9.
-2*(v + 1)*(v + 121)/9
Solve -2*d**3 + 444*d**2 - 26712*d + 224720 = 0 for d.
10, 106
Factor -3*u**3/7 - 30*u**2/7 + 543*u/7 + 570/7.
-3*(u - 10)*(u + 1)*(u + 19)/7
Let 2*i**5 + 6*i**4 - 10*i**3 - 54*i**2 - 64*i - 24 = 0. What is i?
-2, -1, 3
Factor 2*u**2 - 12*u.
2*u*(u - 6)
Factor l**3/5 + 168*l**2/5 - 2499*l/5 + 8918/5.
(l - 7)**2*(l + 182)/5
Factor -3*u**2 + 1614*u - 217083.
-3*(u - 269)**2
Factor -o**5 + 19*o**4 - 79*o**3 + 133*o**2 - 100*o + 28.
-(o - 14)*(o - 2)*(o - 1)**3
What is c in -3*c**3/2 - 95*c**2/4 - 157*c/4 - 21/2 = 0?
-14, -3/2, -1/3
Determine j so that j**3/4 - 419*j**2/4 - 316*j - 211 = 0.
-2, -1, 422
Factor 18*u**3/11 + 84*u**2/11 + 50*u/11 + 8/11.
2*(u + 4)*(3*u + 1)**2/11
Let 15*j**4 - 50*j**3 - 655*j**2 - 950*j - 360 = 0. Calculate j.
-4, -1, -2/3, 9
Determine v so that -v**2 + 105*v - 104 = 0.
1, 104
Solve u**5/2 + u**4 - 3*u**3 - 10*u**2 - 19*u/2 - 3 = 0 for u.
-2, -1, 3
Solve 3*s**2/7 - 156*s/7 - 324/7 = 0 for s.
-2, 54
Suppose 3*m**4/8 + 105*m**3/8 + 363*m**2/8 - 333*m/8 - 837/4 = 0. What is m?
-31, -3, 2
Factor -5*b**5 + 15*b**4 - 15*b**3 + 5*b**2.
-5*b**2*(b - 1)**3
Factor -3*k**2 - 9*k.
-3*k*(k + 3)
Let d**5/2 + d**4 - 29*d**3 + 98*d**2 - 231*d/2 + 45 = 0. What is d?
-10, 1, 3
Find t such that -2*t**3/13 - 6*t**2/13 + 50*t/13 - 42/13 = 0.
-7, 1, 3
Solve -8*g**3/11 - 190*g**2/11 + 48*g/11 = 0 for g.
-24, 0, 1/4
Suppose 2*q**2 - 18*q/5 - 4/5 = 0. What is q?
-1/5, 2
Let 2*b**2/11 + 436*b/11 + 23762/11 = 0. What is b?
-109
What is k in -4*k**3 + 3472*k**2/5 - 149988*k/5 - 60552/5 = 0?
-2/5, 87
Factor 4*u**3/5 - 4*u**2 + 24*u/5.
4*u*(u - 3)*(u - 2)/5
Find w such that 2*w**3/9 - 16*w**2/9 + 2*w + 4 = 0.
-1, 3, 6
Determine q, given that 5*q**4/4 - 25*q**3/4 + 5*q**2/2 + 10*q = 0.
-1, 0, 2, 4
What is y in -y**4/5 + 14*y**3 - 137*y**2/5 + 68*y/5 = 0?
0, 1, 68
Factor -578888*r**4/11 - 2152*r**3/11 - 2*r**2/11.
-2*r**2*(538*r + 1)**2/11
What is t in -t**3/6 - t**2/3 = 0?
-2, 0
Let 4*u**4 - 340*u**3 + 7276*u**2 - 42780*u - 50400 = 0. What is u?
-1, 15, 56
Factor d**5/4 - 39*d**4/4 + 159*d**3/2 + 599*d**2/2 + 1281*d/4 + 441/4.
(d - 21)**2*(d + 1)**3/4
Solve 10*t**5/9 - 74*t**4/9 - 142*t**3/9 - 22*t**2/9 + 4*t = 0 for t.
-1, 0, 2/5, 9
Determine x, given that 13*x**5/10 - x**4/5 - 169*x**3/10 - 13*x**2 + 12*x/5 = 0.
-3, -1, 0, 2/13, 4
Factor 392*h**3/5 - 62*h**2 + 12*h/5.
2*h*(4*h - 3)*(49*h - 2)/5
Factor 5*u**4 + 183*u**3 - 264*u**2 + 76*u.
u*(u - 1)*(u + 38)*(5*u - 2)
Solve 3*p**3 + 15*p**2 - 6*p - 72 = 0.
-4, -3, 2
Factor -p**3/2 + 20*p**2.
-p**2*(p - 40)/2
Factor -w**2/4 - w/4.
-w*(w + 1)/4
Solve -p**3/8 + 15*p**2/8 + 177*p/8 + 161/8 = 0.
-7, -1, 23
Solve 5*k**3 - 40*k**2 - 75*k + 270 = 0.
-3, 2, 9
Factor g**5 + 23*g**4 + 142*g**3 + 98*g**2 - 143*g - 121.
(g - 1)*(g + 1)**2*(g + 11)**2
Suppose -3*f**3 + 249*f**2 + 507*f + 255 = 0. Calculate f.
-1, 85
Factor 3*n**2 - 2655*n.
3*n*(n - 885)
Determine o, given that -2*o**2/9 + 9976*o/9 - 12440072/9 = 0.
2494
Find a such that -9*a**4 + 165*a**3 - 336*a**2 - 12*a + 192 = 0.
-2/3, 1, 2, 16
Solve m**2 + 8*m + 7 = 0.
-7, -1
Factor -2*l**2/3 + 1612*l/3 - 324818/3.
-2*(l - 403)**2/3
Factor 24*r**3 - 740*r**2 + 1296*r - 580.
4*(r - 29)*(r - 1)*(6*r - 5)
Find q such that -1331*q**3 + 2178*q**2 - 1188*q + 216 = 0.
6/11
Factor -o**3/2 + 691*o**2/2 - 119715*o/2 + 119025/2.
-(o - 345)**2*(o - 1)/2
Let -9*w**2 + 912*w - 1200 = 0. What is w?
4/3, 100
Solve -9*x**3 + 228*x**2 - 75*x = 0.
0, 1/3, 25
Let -f**3/2 + 5*f**2 - 8*f = 0. Calculate f.
0, 2, 8
Determine a so that 5*a**2 - 445*a = 0.
0, 89
Factor -2*i**3/3 - 10*i**2 - 32*i + 128/3.
-2*(i - 1)*(i + 8)**2/3
Factor 3*s**2 - 627*s - 630.
3*(s - 210)*(s + 1)
Factor -x**2/11 - 124*x/11 - 3844/11.
-(x + 62)**2/11
Factor 3*h**5 - 45*h**3 + 30*h**2 + 180*h - 216.
3*(h - 2)**3*(h + 3)**2
Factor 4*a**5 - 48*a**4 + 84*a**3 + 392*a**2.
4*a**2*(a - 7)**2*(a + 2)
Factor 2*b**3 + 36*b**2 - 222*b + 184.
2*(b - 4)*(b - 1)*(b + 23)
Factor m**4 - 20*m**3 + 96*m**2 - 176*m + 112.
(m - 14)*(m - 2)**3
Determine l so that -5*l**5/3 - 110*l**4/3 - 160*l**3 + 480*l**2 = 0.
-12, 0, 2
Factor 2*y**4/5 + 248*y**3/5 + 2784*y**2/5 + 2176*y + 14336/5.
2*(y + 4)**3*(y + 112)/5
Let -s**3/4 - 29*s**2 + 119*s - 120 = 0. Calculate s.
-120, 2
Factor 4*b**5 - 32*b**4 + 84*b**3 - 88*b**2 + 32*b.
4*b*(b - 4)*(b - 2)*(b - 1)**2
What is y in -3*y**3 + 6*y**2 - 3*y = 0?
0, 1
Suppose -6*f**4 - 22*f**3 - 6*f**2 + 22*f + 12 = 0. Calculate f.
-3, -1, -2/3, 1
Solve -4*s**3 - 784*s**2 + 4*s + 784 = 0.
-196, -1, 1
Suppose 2*q**4 + 16*q**3 + 30*q**2 - 16*q - 32 = 0. What is q?
-4, -1, 1
Find q such that 5*q**5 - 55*q**4 + 230*q**3 - 450*q**2 + 405*q - 135 = 0.
1, 3
What is h in 4*h**2 - 392*h + 6688 = 0?
22, 76
Let -5*z**3 + 360*z**2 + 5*z - 360 = 0. What is z?
-1, 1, 72
Determine j, given that j**3 - 135*j**2 + 4488*j + 4624 = 0.
-1, 68
Suppose f**5/6 - f**4/3 - 11*f**3/3 - 8*f**2/3 + 7*f/2 + 3 = 0. Calculate f.
-3, -1, 1, 6
Factor b**2 + 1086*b + 294849.
(b + 543)**2
Factor 4*r**2 - 364*r + 712.
4*(r - 89)*(r - 2)
Determine i so that -15*i**3 - 15831*i**2 + 41280*i + 19044 = 0.
-1058, -2/5, 3
Factor -5*z**4 - 170*z**3 - 1425*z**2 + 680*z + 5780.
-5*(z - 2)*(z + 2)*(z + 17)**2
Factor 5*s**2 - 12600*s.
5*s*(s - 2520)
Factor 4*o**2 - 33*o - 27.
(o - 9)*(4*o + 3)
Factor -5*c**4 + 120*c**3 - 330*c**2 + 320*c - 105.
-5*(c - 21)*(c - 1)**3
Determine p, given that p**3 - 192*p**2 + 12288*p - 262144 = 0.
64
Let -2*h**2/3 + 854*h - 2560/3 = 0. What is h?
1, 1280
Factor -o**2 - 12*o - 11.
-(o + 1)*(o + 11)
Determine l, given that 4*l**3 - 36*l**2 - 40*l = 0.
-1, 0, 10
Factor -4*h**5 - 148*h**4 - 280*h**3.
-4*h**3*(h + 2)*(h + 35)
Factor -m**4/2 + m**3 + 6*m**2 - 4*m - 16.
-(m - 4)*(m - 2)*(m + 2)**2/2
Solve k**4/2 - 6*k**3 - 85*k**2/2 = 0.
-5, 