+ 147)**2
Determine b, given that 3*b**2/7 - 108*b/7 - 1056/7 = 0.
-8, 44
Factor -5*u**3 - 1160*u**2 - 7875*u.
-5*u*(u + 7)*(u + 225)
Factor 2*w**3/11 - 24*w**2/11 + 90*w/11 - 108/11.
2*(w - 6)*(w - 3)**2/11
Factor m**5 - 4*m**4 + 6*m**3 - 4*m**2 + m.
m*(m - 1)**4
Determine d, given that -2*d**3 + 40*d**2 - 250*d + 500 = 0.
5, 10
Suppose -k**2/4 - 61*k/2 - 60 = 0. What is k?
-120, -2
Solve -3*t**4/2 - 147*t**3/2 - 210*t**2 - 138*t = 0.
-46, -2, -1, 0
Let 4*v**4 + 28*v**3 - 56*v**2 - 192*v = 0. What is v?
-8, -2, 0, 3
Factor -i**4/3 + 43*i**3/3 - 14*i**2.
-i**2*(i - 42)*(i - 1)/3
Factor -9*o**4/2 - 19*o**3/2 + 25*o**2/2 + 3*o/2.
-o*(o - 1)*(o + 3)*(9*o + 1)/2
Factor 7*p**4/10 + 4*p**3 - 61*p**2/10 + 7*p/5.
p*(p - 1)*(p + 7)*(7*p - 2)/10
Factor -o**3/2 + 29*o**2/2 - 69*o.
-o*(o - 23)*(o - 6)/2
Factor -24*o**4/7 - 42*o**3 - 936*o**2/7 - 216*o/7.
-6*o*(o + 6)**2*(4*o + 1)/7
Find y, given that 2*y**3/7 + 4*y**2/7 - 510*y/7 = 0.
-17, 0, 15
Solve q**4 - 33*q**3 + 315*q**2 - 675*q = 0.
0, 3, 15
Find b such that 288*b**4/5 + 1388*b**3 - 13088*b**2/5 + 4204*b/5 + 1656/5 = 0.
-207/8, -2/9, 1
Factor 4*r**3 + 64*r**2 + 100*r - 168.
4*(r - 1)*(r + 3)*(r + 14)
Find t, given that 2*t**4/3 - 4*t**3 - 2*t**2 + 32*t/3 + 8 = 0.
-1, 2, 6
What is z in z**5/2 - 13*z**4/2 + 17*z**3 + 24*z**2 = 0?
-1, 0, 6, 8
Suppose 4*j**3 - 28*j**2 + 56*j - 32 = 0. What is j?
1, 2, 4
Factor j**4/9 + j**3/3 - 25*j**2/9 + 7*j/3.
j*(j - 3)*(j - 1)*(j + 7)/9
Suppose -a**5 - 3*a**4 + 7*a**3 + 15*a**2 - 18*a = 0. Calculate a.
-3, 0, 1, 2
Factor -q**2/3 + 25*q/3 + 18.
-(q - 27)*(q + 2)/3
Determine u so that -u**3 + 2*u**2 = 0.
0, 2
Suppose s**5/2 - 2*s**4 - 3*s**3/2 + 5*s**2 + 4*s = 0. Calculate s.
-1, 0, 2, 4
Determine x, given that 177*x**2 + 183*x + 6 = 0.
-1, -2/59
Find u such that -2*u**3/9 + 46*u**2/9 - 112*u/9 - 160/9 = 0.
-1, 4, 20
Suppose -3*h**4 + 483*h**3 - 954*h**2 = 0. What is h?
0, 2, 159
Find n, given that -4*n**2 - 1288*n + 3900 = 0.
-325, 3
Determine h, given that -69*h**3 + 201*h**2 + 294*h + 24 = 0.
-1, -2/23, 4
Factor -5*k**2 + 165*k + 1890.
-5*(k - 42)*(k + 9)
Determine d, given that -5*d**5 - 10*d**4 + 75*d**3 = 0.
-5, 0, 3
Let 2*i**5/3 - 110*i**4/3 - 2764*i**3/3 + 158276*i**2/3 + 324394*i/3 + 163466/3 = 0. What is i?
-37, -1, 47
Solve -5*z**3 + 100*z**2 - 500*z = 0 for z.
0, 10
Suppose -4*b**3 + 1812*b**2 + 3636*b + 1820 = 0. What is b?
-1, 455
Factor l**5 - 11*l**4 - l**3 + 11*l**2.
l**2*(l - 11)*(l - 1)*(l + 1)
Factor 2*v**3/9 + 4*v**2/3 - 242*v/9 - 484/3.
2*(v - 11)*(v + 6)*(v + 11)/9
Solve 4*z**5 + 12*z**4 - 4*z**3 - 12*z**2 = 0.
-3, -1, 0, 1
Factor -3*w**2/7 + 12*w - 63.
-3*(w - 21)*(w - 7)/7
Factor 5*b**2/4 + 15*b.
5*b*(b + 12)/4
Find l, given that 16*l**3 - 12*l**2 - 36*l - 8 = 0.
-1, -1/4, 2
Suppose 2*n**4/13 - 12*n**3/13 - 6*n**2/13 + 8*n - 120/13 = 0. Calculate n.
-3, 2, 5
Factor 2*l**4 + 64*l**3 - 6*l**2 - 196*l - 128.
2*(l - 2)*(l + 1)**2*(l + 32)
Factor -m**2 - 1705*m - 1704.
-(m + 1)*(m + 1704)
Solve 20*g**2/3 + 515*g/3 - 130/3 = 0 for g.
-26, 1/4
Let -5*o**4/2 + 20*o**3 - 85*o**2/2 + 25*o = 0. What is o?
0, 1, 2, 5
Find s such that s**3/9 - 8*s**2/3 + 95*s/9 = 0.
0, 5, 19
Factor -4*t**2/7 - 648*t/7.
-4*t*(t + 162)/7
Suppose -d**2 + 2667*d + 2668 = 0. Calculate d.
-1, 2668
Suppose 2*k**2/3 - 20*k = 0. What is k?
0, 30
Let 5*n**4 - 1090*n**3 + 58305*n**2 + 119900*n + 60500 = 0. Calculate n.
-1, 110
Solve -4*b**4 + 44*b**3 - 368*b - 320 = 0 for b.
-2, -1, 4, 10
Determine v so that 3*v**5/8 + 9*v**4/4 + 3*v**3/4 - 6*v**2 - 9*v/8 + 15/4 = 0.
-5, -2, -1, 1
Find u, given that u**3/5 + 4*u**2/5 + 4*u/5 = 0.
-2, 0
Factor 3*z**4 + 21*z**3 + 36*z**2 - 12*z - 48.
3*(z - 1)*(z + 2)**2*(z + 4)
Find d, given that -4*d**2 + 156*d - 152 = 0.
1, 38
Factor -5*d**2 + 700*d - 24500.
-5*(d - 70)**2
Suppose -2*l**4 + 20*l**3 + 2*l**2 - 20*l = 0. What is l?
-1, 0, 1, 10
Factor -3*i**3/5 - 84*i**2/5 - 156*i - 480.
-3*(i + 8)*(i + 10)**2/5
Factor -4*j**3 - 68*j**2 - 120*j.
-4*j*(j + 2)*(j + 15)
Find w such that -w**5 + 2*w**4 + 2*w**3 - 4*w**2 - w + 2 = 0.
-1, 1, 2
Factor 7*d**2/3 - 59*d/3 - 12.
(d - 9)*(7*d + 4)/3
Determine x so that 3*x**4/4 + 9*x**3/4 - 9*x**2/4 - 21*x/4 + 9/2 = 0.
-3, -2, 1
Suppose -245*p**4 - 79730*p**3 + 125735*p**2 - 52300*p + 6540 = 0. Calculate p.
-327, 2/7, 1
Factor 2*x**5 + 14*x**4 + 20*x**3 - 4*x**2 - 22*x - 10.
2*(x - 1)*(x + 1)**3*(x + 5)
Factor d**4 - 33*d**3 + 345*d**2 - 1475*d + 2250.
(d - 18)*(d - 5)**3
Solve 43*q**3 - 2195*q**2/3 + 3904*q/3 - 20 = 0.
2/129, 2, 15
Factor 4*u**2 + 36*u - 208.
4*(u - 4)*(u + 13)
Factor 7084*r**3 - 1112*r**2 - 32*r.
4*r*(11*r - 2)*(161*r + 4)
Factor 33*a**2/2 - 273*a/2 + 36.
3*(a - 8)*(11*a - 3)/2
Factor -4*s**2/3 - 16*s/3 + 20/3.
-4*(s - 1)*(s + 5)/3
Factor -8*d**2/23 - 26*d/23 - 6/23.
-2*(d + 3)*(4*d + 1)/23
Solve -7*o**5/4 + 75*o**4/4 + 421*o**3/4 + 429*o**2/4 + 45*o/2 = 0.
-3, -1, -2/7, 0, 15
Factor -5*y**4 - 5*y**3 + 30*y**2.
-5*y**2*(y - 2)*(y + 3)
Solve 16*r**2 - 3348*r - 2520 = 0 for r.
-3/4, 210
Factor 3*a**2 + 201*a + 198.
3*(a + 1)*(a + 66)
Determine s so that 2*s**2/5 - 16*s + 672/5 = 0.
12, 28
Find t, given that 3*t**5/2 + 33*t**4/2 + 51*t**3/2 - 33*t**2/2 - 27*t = 0.
-9, -2, -1, 0, 1
Factor -2*a**2/11 + 78*a/11 - 76/11.
-2*(a - 38)*(a - 1)/11
Factor t**3 + 11*t**2 - t - 11.
(t - 1)*(t + 1)*(t + 11)
Determine t, given that t**5 - 19*t**4 + 73*t**3 - 37*t**2 - 74*t + 56 = 0.
-1, 1, 4, 14
Solve -o**4/4 + 5*o**3/2 + 51*o**2/4 + 17*o + 7 = 0 for o.
-2, -1, 14
Solve -27*v**5/4 + 63*v**4/2 + 789*v**3/4 - 141*v**2 + 24*v = 0.
-4, 0, 1/3, 8
Determine w so that -3*w**3/5 - 1101*w**2/5 - 2193*w/5 - 219 = 0.
-365, -1
What is s in 4*s**3 + 328*s**2 + 640*s = 0?
-80, -2, 0
Solve 405*o**5 - 3825*o**4 + 11360*o**3 - 10980*o**2 + 3360*o - 320 = 0.
2/9, 1, 4
Factor 3*i**3 - 147*i**2 - 462*i - 312.
3*(i - 52)*(i + 1)*(i + 2)
Factor -n**5/2 - 19*n**4/2 - 62*n**3 - 144*n**2 + 216.
-(n - 1)*(n + 2)*(n + 6)**3/2
Suppose 35*a**5 + 45679*a**4 + 14883821*a**3 - 13229123*a**2 - 3406048*a + 1705636 = 0. What is a?
-653, -2/5, 2/7, 1
Factor 2*z**5 + 194*z**4 + 6336*z**3 + 71680*z**2 + 65536*z.
2*z*(z + 1)*(z + 32)**3
Factor -4*j**3/9 - 4*j**2/9 + 8*j/9.
-4*j*(j - 1)*(j + 2)/9
Factor -4*d**3 - 348*d**2 - 7392*d + 7744.
-4*(d - 1)*(d + 44)**2
Let -4*b**2 - 152*b + 156 = 0. What is b?
-39, 1
Factor 2*n**2/9 - 26*n/9 - 28/9.
2*(n - 14)*(n + 1)/9
Factor g**5 + 301*g**4 - 605*g**3 + 303*g**2.
g**2*(g - 1)**2*(g + 303)
Factor 5*c**5/3 + 20*c**4 + 55*c**3/3.
5*c**3*(c + 1)*(c + 11)/3
Suppose n**2/6 - 700*n/3 + 1399/6 = 0. What is n?
1, 1399
Determine o so that 2*o**4 + 10*o**3 + 12*o**2 - 8*o - 16 = 0.
-2, 1
Factor -2*l**2 + 114*l + 5696.
-2*(l - 89)*(l + 32)
Let 3*j**5 - 27*j**4 + 81*j**3 - 69*j**2 - 72*j + 108 = 0. Calculate j.
-1, 2, 3
Factor 5*r**2 - 4130*r - 8280.
5*(r - 828)*(r + 2)
Factor 2*s**3/11 - 3782*s**2/11 + 1789830*s/11 - 1786050/11.
2*(s - 945)**2*(s - 1)/11
Factor -3*m**2/7 + 12*m/7 + 15/7.
-3*(m - 5)*(m + 1)/7
Find t such that -2*t**2/7 + 428*t - 160286 = 0.
749
What is s in -16*s**5 - 28*s**4 + 4*s**3 + 28*s**2 + 12*s = 0?
-1, -3/4, 0, 1
Suppose d**3/2 + 5*d**2/2 - 16*d + 18 = 0. Calculate d.
-9, 2
Factor -4*a**3 - 3916*a**2 - 15616*a - 15600.
-4*(a + 2)**2*(a + 975)
Let 4*l**2 - 852*l + 848 = 0. What is l?
1, 212
Factor -4*p**3/5 - 32*p**2 - 148*p/5 + 312/5.
-4*(p - 1)*(p + 2)*(p + 39)/5
Factor 3*c**2 - 48*c - 51.
3*(c - 17)*(c + 1)
Suppose -4*k**3/5 - 4*k**2/5 + 84*k/5 + 36 = 0. Calculate k.
-3, 5
Factor -2*z**4 + 36*z**3 - 200*z**2 + 252*z + 490.
-2*(z - 7)**2*(z - 5)*(z + 1)
Factor -3*w**2 - 456*w + 924.
-3*(w - 2)*(w + 154)
Find u such that -4*u**3 + 444*u**2 - 1296*u = 0.
0, 3, 108
Find f such that 2*f**2/3 + 108*f = 0.
-162, 0
Factor -2*r**5 + 12*r**4 - 22*r**3 + 4*r**2 + 24*r - 16.
-2*(r - 2)**3*(r - 1)*(r + 1)
Let -3*p**3 + 261*p**2 - 7344*p + 67392 = 0. What is p?
24, 39
Suppose f**2/5 + 701*f/5 + 1398/5 = 0. Calculate f.
-699, -2
Suppose -2*n**4 + 22*n**3 - 84*n**2 + 128*n - 64 = 0. What is n?
1, 2, 4
Factor 4*w**4/9 + 17*w**3/3 - 13*w**2/9.
w**2*(w + 13)*(4*w - 1)/9
Factor -8*n**2 + 86*n + 804.
-2*(n + 6)*(4*n - 67)
Find b, given that 6*b**2/7 - 39*b/7 + 45/7 = 0.
3/2, 5
Suppose -3*i**4 - 45*i**3 + 243*i**2 + 285*i = 0. What is i?
-19, -1, 0, 5
What is p in 12*p**4/5 + 42*p**3/5 - 6*p**2 - 168*p/5 - 