w - 30)**2
Factor -2*k**3 - 12*k**2 - 18*k - 8.
-2*(k + 1)**2*(k + 4)
Solve -6*b**2/11 + 24*b/11 + 1920/11 = 0.
-16, 20
Suppose 6*t**2 - 351*t + 1155 = 0. What is t?
7/2, 55
Factor -n**2/6 + 23*n/2.
-n*(n - 69)/6
Factor g**3 + 142*g**2 - 287*g + 144.
(g - 1)**2*(g + 144)
Let -2*b**3/7 + 88*b**2/7 + 1920*b/7 = 0. Calculate b.
-16, 0, 60
Factor -2*o**5/3 + 6*o**4 + 14*o**3 + 22*o**2/3.
-2*o**2*(o - 11)*(o + 1)**2/3
Determine g so that 54*g**5/7 - 99*g**4/7 - 12*g**3 + 111*g**2/7 + 6*g = 0.
-1, -1/3, 0, 7/6, 2
Find r, given that 19*r**3/5 - 5128*r**2/5 + 69147*r + 7290 = 0.
-2/19, 135
Factor -2*l**3/3 - 16*l**2 - 178*l/3 + 76.
-2*(l - 1)*(l + 6)*(l + 19)/3
Factor -3*q**2/7 + 57*q/7.
-3*q*(q - 19)/7
Find t such that -466*t**4/11 - 4*t**3/11 = 0.
-2/233, 0
Suppose -2*t**3 - 446*t**2 - 1760*t - 1752 = 0. Calculate t.
-219, -2
Factor 28*l**4 + 92*l**3 - 648*l**2 - 2432*l - 640.
4*(l - 5)*(l + 4)**2*(7*l + 2)
Suppose -h**2/7 - 8*h/7 + 9/7 = 0. Calculate h.
-9, 1
Factor -2*s**2 + 54*s - 304.
-2*(s - 19)*(s - 8)
Factor 2*c**2/7 + 14*c - 912/7.
2*(c - 8)*(c + 57)/7
Factor 4*r**3 - 20*r**2 + 24*r.
4*r*(r - 3)*(r - 2)
Factor -u**4 - 350*u**3.
-u**3*(u + 350)
Factor 2*w**2 - 46*w + 84.
2*(w - 21)*(w - 2)
Factor 2*c**2/3 - 14*c/3 + 8.
2*(c - 4)*(c - 3)/3
Factor -g**4 - 38*g**3 - 35*g**2 + 74*g.
-g*(g - 1)*(g + 2)*(g + 37)
Solve 2*c**3 - 4*c**2 - 22*c + 24 = 0 for c.
-3, 1, 4
Solve -18*m**4/5 - 88*m**3/5 - 56*m**2/15 = 0.
-14/3, -2/9, 0
Factor j**3/3 + 37*j**2/3 - 40*j/3 - 76/3.
(j - 2)*(j + 1)*(j + 38)/3
Factor -4*r**2 + 200*r - 2500.
-4*(r - 25)**2
Find p such that 4*p**5 - 24*p**4 + 40*p**3 - 44*p + 24 = 0.
-1, 1, 2, 3
What is w in -7*w**3/4 - 33*w**2/2 - 18*w + 16 = 0?
-8, -2, 4/7
Factor -3*s**3/5 - 249*s**2/5 - 48*s + 492/5.
-3*(s - 1)*(s + 2)*(s + 82)/5
Determine y, given that -7*y**4 + 30*y**3 + 41*y**2 - 84*y + 20 = 0.
-2, 2/7, 1, 5
Factor -3*z**3 - 1593*z**2 - 210672*z + 212268.
-3*(z - 1)*(z + 266)**2
Factor -g**2/2 + 29*g + 59/2.
-(g - 59)*(g + 1)/2
Determine b, given that 2*b**4 - 14*b**3 - 60*b**2 = 0.
-3, 0, 10
Find q, given that -5*q**5 - 35*q**4 + 95*q**3 + 35*q**2 - 90*q = 0.
-9, -1, 0, 1, 2
Factor -9*s**2/2 - 123*s + 84.
-3*(s + 28)*(3*s - 2)/2
Suppose 5*u**5 + 410*u**4 - 10*u**3 - 820*u**2 + 5*u + 410 = 0. Calculate u.
-82, -1, 1
Find h, given that 20*h**4/7 - 16*h**3 + 220*h**2/7 - 176*h/7 + 48/7 = 0.
3/5, 1, 2
Suppose 2*z**3 + 24*z**2 + 72*z = 0. Calculate z.
-6, 0
Let -128*b**4/3 + 160*b**3/3 + 24*b**2 - 54*b + 18 = 0. Calculate b.
-1, 3/4
Factor -2*v**3/5 - 242*v**2/5 - 478*v/5 - 238/5.
-2*(v + 1)**2*(v + 119)/5
Factor m**3/6 + 7*m**2/2 + 12*m + 34/3.
(m + 2)**2*(m + 17)/6
Factor -9*k**5/4 - 9*k**4/4 - 3*k**3/4 - k**2/12.
-k**2*(3*k + 1)**3/12
Suppose -11*f**4/4 + 53*f**3/4 - 3*f**2 - 23*f - 4 = 0. What is f?
-1, -2/11, 2, 4
Factor -4*l**2/7 + 460*l/7 - 4576/7.
-4*(l - 104)*(l - 11)/7
Let 5*s**4 + 45*s**3 + 100*s**2 + 60*s = 0. Calculate s.
-6, -2, -1, 0
Let -3*q**2/2 + 39*q + 84 = 0. Calculate q.
-2, 28
Determine r so that -3*r**3/4 + 228*r**2 - 18975*r/4 + 51183/2 = 0.
11, 282
Suppose -3*a**3/4 + 225*a**2/4 = 0. What is a?
0, 75
Factor 3*w**4 + 12*w**3 - 9*w**2 - 30*w + 24.
3*(w - 1)**2*(w + 2)*(w + 4)
Factor l**2/2 - 62*l - 125/2.
(l - 125)*(l + 1)/2
Find s, given that 4*s**5 - 35*s**4 - 49*s**3 - 10*s**2 = 0.
-1, -1/4, 0, 10
Suppose n**3 + 6*n**2 + 11*n + 6 = 0. What is n?
-3, -2, -1
Factor -3*c**3 + 21*c + 18.
-3*(c - 3)*(c + 1)*(c + 2)
Let n**3/5 + 386*n**2/5 + 7749*n + 285768/5 = 0. Calculate n.
-189, -8
Factor -2*s**4/11 - 44*s**3 - 39360*s**2/11 - 1100800*s/11 - 2048000/11.
-2*(s + 2)*(s + 80)**3/11
Factor 2*n**2 + 88*n + 968.
2*(n + 22)**2
Suppose 15*x**3 - 1070*x**2 + 2385*x + 2070 = 0. What is x?
-2/3, 3, 69
Let -2*g**4 - 326*g**3 + 338*g**2 + 1646*g + 984 = 0. What is g?
-164, -1, 3
Factor l**4/2 + 21*l**3/2 + 99*l**2/2 + 135*l/2.
l*(l + 3)**2*(l + 15)/2
Factor 625*o**4/4 - 825*o**3/4 + 54*o**2 - 4*o.
o*(o - 1)*(25*o - 4)**2/4
Let -2*g**3/5 + 3134*g**2/5 - 245862*g + 1226178/5 = 0. Calculate g.
1, 783
Find x, given that -14*x**5/9 - 116*x**4/9 - 62*x**3/3 + 68*x**2/9 + 200*x/9 + 16/3 = 0.
-6, -2, -1, -2/7, 1
Factor -p**5 + p**4 + 12*p**3 + 4*p**2 - 16*p.
-p*(p - 4)*(p - 1)*(p + 2)**2
Solve 25*h**5 - 145*h**4 + 300*h**3 - 260*h**2 + 80*h = 0.
0, 4/5, 1, 2
Factor -l**2/5 - 6*l/5 - 1.
-(l + 1)*(l + 5)/5
Factor 9*z**3 + 3414*z**2 - 2283*z - 1140.
3*(z - 1)*(z + 380)*(3*z + 1)
Factor -f**2 + 718*f - 717.
-(f - 717)*(f - 1)
Factor -2*f**3 - 56*f**2 - 394*f - 340.
-2*(f + 1)*(f + 10)*(f + 17)
Determine b so that -4*b**5 + 16*b**3 - 8*b**2 - 12*b + 8 = 0.
-2, -1, 1
Suppose -9*n**5/5 + 42*n**4/5 + 168*n**3/5 - 138*n**2/5 - 63*n/5 = 0. What is n?
-3, -1/3, 0, 1, 7
Factor -2*b**5 + 2*b**4 + 2*b**3 - 2*b**2.
-2*b**2*(b - 1)**2*(b + 1)
Factor -b**2/3 + 73*b/3.
-b*(b - 73)/3
Factor -5*a**2 + 12990*a - 8437005.
-5*(a - 1299)**2
Factor -32*x**3/3 - 5040*x**2 + 2522*x - 946/3.
-2*(x + 473)*(4*x - 1)**2/3
Factor 5*h**2 + 65*h - 70.
5*(h - 1)*(h + 14)
Factor -4*r**4 + 40*r**3 + 204*r**2 + 272*r + 112.
-4*(r - 14)*(r + 1)**2*(r + 2)
Factor 4*k**3 - 1176*k**2 - 2364*k - 1184.
4*(k - 296)*(k + 1)**2
Let -2*g**4/5 + 2728*g**3/5 - 930246*g**2/5 - 2728*g/5 + 930248/5 = 0. What is g?
-1, 1, 682
Factor -2*a**3/3 + 28*a**2 + 176*a/3.
-2*a*(a - 44)*(a + 2)/3
What is m in -m**4 - 29*m**3 = 0?
-29, 0
Let 6*s**2/11 - 2448*s/11 + 222 = 0. Calculate s.
1, 407
Suppose 2*h**3 + 2532*h**2 + 5058*h + 2528 = 0. Calculate h.
-1264, -1
Find h such that 2*h**4 - 2*h**3 - 38*h**2 - 22*h + 60 = 0.
-3, -2, 1, 5
Find w, given that -3*w**3 - 30*w**2 + 159*w - 126 = 0.
-14, 1, 3
Solve y**5/5 - 42*y**4/5 + 518*y**3/5 - 1636*y**2/5 + 1881*y/5 - 722/5 = 0 for y.
1, 2, 19
Factor 20*l**3 - 133*l**2 + 80*l - 12.
(l - 6)*(4*l - 1)*(5*l - 2)
Let -3*g**3/7 + 267*g**2/7 - 471*g + 1575 = 0. What is g?
7, 75
Determine q, given that -q**2/2 + 68*q + 280 = 0.
-4, 140
Factor 12*c**3/7 - 51*c**2/7 + 12*c/7.
3*c*(c - 4)*(4*c - 1)/7
Determine m, given that m**4/5 + 51*m**3/5 - 272*m**2/5 + 444*m/5 - 224/5 = 0.
-56, 1, 2
Factor -25*n**4/4 + 49*n**3/2 + 2*n**2.
-n**2*(n - 4)*(25*n + 2)/4
Factor 2*n**2/3 - 620*n/3 - 622/3.
2*(n - 311)*(n + 1)/3
Find u such that -3*u**3/2 - 324*u**2 - 23328*u - 559872 = 0.
-72
Factor 8*w**2/7 - 2*w - 4/7.
2*(w - 2)*(4*w + 1)/7
Suppose -o**2 + 17*o - 42 = 0. What is o?
3, 14
Factor 2*v**4 - 28*v**3 + 102*v**2 - 108*v.
2*v*(v - 9)*(v - 3)*(v - 2)
Factor -2*b**2/15 - 92*b/15.
-2*b*(b + 46)/15
Find q such that 2*q**4/5 + 72*q**3/5 - 704*q**2/5 = 0.
-44, 0, 8
Let 5*m**3 - 490*m**2 + 7605*m - 32400 = 0. What is m?
9, 80
Factor -8*a**4 + 92*a**3 - 44*a**2.
-4*a**2*(a - 11)*(2*a - 1)
Find j, given that 8*j**3/7 + 24*j**2/7 - 62*j/7 - 36/7 = 0.
-9/2, -1/2, 2
Factor 20*b**5 - 165*b**4 + 400*b**3 - 90*b**2 - 540*b + 135.
5*(b - 3)**3*(b + 1)*(4*b - 1)
Determine u, given that -u**4/2 - 6*u**3 - 31*u**2/2 + 24*u + 70 = 0.
-7, -5, -2, 2
Factor -8*q**2 + 628*q - 312.
-4*(q - 78)*(2*q - 1)
Factor j**3/7 + 3*j**2 - j/7 - 3.
(j - 1)*(j + 1)*(j + 21)/7
Find h such that 3*h**5/2 + 3*h**4 - 3*h**3/2 - 3*h**2 = 0.
-2, -1, 0, 1
Factor -y**2/3 + 149*y/3 - 98.
-(y - 147)*(y - 2)/3
Find m, given that -m**4 + 23*m**3 + 29*m**2 - 123*m + 72 = 0.
-3, 1, 24
Determine c, given that -3*c**3/4 + 15*c**2 - 351*c/4 + 243/2 = 0.
2, 9
Factor 4*s**2 - 24*s + 36.
4*(s - 3)**2
Find y, given that 2*y**2/5 - 28*y/5 + 48/5 = 0.
2, 12
Factor -3*p**3 - 219*p**2 - 1782*p - 3456.
-3*(p + 3)*(p + 6)*(p + 64)
Factor -2*d**3 - 358*d**2 + 724*d.
-2*d*(d - 2)*(d + 181)
Determine p, given that -3*p**3 + 9*p**2 + 27*p + 15 = 0.
-1, 5
Factor -5*f**5/4 - 65*f**4/4 - 225*f**3/4 + 125*f**2/4 + 625*f/2.
-5*f*(f - 2)*(f + 5)**3/4
Let -23*b**4/2 - 26*b**3 - 35*b**2/2 - 3*b = 0. Calculate b.
-1, -6/23, 0
What is q in 4*q**4 - 196*q**3 = 0?
0, 49
Let -b**3 - 890*b**2 - 198025*b = 0. Calculate b.
-445, 0
Let 24*n**2 - 262*n - 22 = 0. Calculate n.
-1/12, 11
Let 3*l**2/4 + 297*l/4 = 0. Calculate l.
-99, 0
What is t in 3*t**4 + 27*t**3 + 33*t**2 - 63*t = 0?
-7, -3, 0, 1
Factor -3*f**3/4 + 15*f**2/4 - 9*f/2.
-3*f*(f - 3)*(f - 2)/4
Determine z, given that -3*z**2 - 1287*z = 0.
-429, 0
What is o in -406*o**4 + 3280*o**3 - 3074*o**2 + 32*o + 168 = 0?
-6/29, 2/7, 1, 7
Determine s so that 4*s**5 + 25*s**4 - 138*s**3 + 124*s**