 112*y**2 - 96*y.
4*y*(y - 3)*(y + 2)**3
Factor h**2/4 + 17*h/4 + 4.
(h + 1)*(h + 16)/4
Let -5*n**5 - 240*n**4 + 250*n**3 + 240*n**2 - 245*n = 0. Calculate n.
-49, -1, 0, 1
Factor x**2/5 - 604*x/5 - 121.
(x - 605)*(x + 1)/5
Solve -u**5 + 131*u**4 + 137*u**3 - 663*u**2 + 396*u = 0 for u.
-3, 0, 1, 132
Factor -v**4 - 8*v**3 + 11*v**2 + 18*v.
-v*(v - 2)*(v + 1)*(v + 9)
Factor 111*u**4/7 + 3999*u**3/7 + 48060*u**2/7 + 193104*u/7 + 5184/7.
3*(u + 12)**3*(37*u + 1)/7
Suppose -20*i**3 + 508*i**2 + 1432*i + 672 = 0. Calculate i.
-2, -3/5, 28
Factor -2*a**4/7 - 30*a**3/7 - 144*a**2/7 - 216*a/7.
-2*a*(a + 3)*(a + 6)**2/7
Factor -3*k**2 + 27.
-3*(k - 3)*(k + 3)
Suppose -5*l**4 + 23*l**3/2 + 2*l**2 - 23*l/2 + 3 = 0. Calculate l.
-1, 3/10, 1, 2
Suppose -6*q**3/7 + 2388*q**2/7 = 0. Calculate q.
0, 398
Factor -3*t**4/4 + 27*t**3/4 - 45*t**2/2 + 33*t - 18.
-3*(t - 3)*(t - 2)**3/4
Factor 2*m**3/7 + 2*m**2 + 32*m/7 + 24/7.
2*(m + 2)**2*(m + 3)/7
Solve -g**5/9 + 2*g**4/9 + 7*g**3/9 - 20*g**2/9 + 4*g/3 = 0 for g.
-3, 0, 1, 2
Factor -2*m**4/5 - 22*m**3/5 - 16*m**2 - 96*m/5.
-2*m*(m + 3)*(m + 4)**2/5
Suppose n**2/2 - 8*n + 24 = 0. What is n?
4, 12
Let x**3 + 280*x**2 + 19877*x + 38642 = 0. Calculate x.
-139, -2
Solve 5*a**4 - 45*a**3 + 60*a**2 + 400*a - 960 = 0.
-3, 4
Suppose -3*h**2 - 621*h + 7194 = 0. What is h?
-218, 11
Factor -r**3/3 + 14*r**2/3.
-r**2*(r - 14)/3
Solve -131712*f**3 + 35280*f**2 - 3150*f + 375/4 = 0 for f.
5/56
Suppose -3*f**4/5 + 1632*f**3/5 - 3252*f**2/5 = 0. What is f?
0, 2, 542
Factor 2*n**2 + 1232*n + 189728.
2*(n + 308)**2
Determine z, given that -z**3/5 - 2*z**2/5 + 8*z/5 = 0.
-4, 0, 2
Factor -3*s**3/2 - 33*s**2 + 558*s - 1836.
-3*(s - 6)**2*(s + 34)/2
Find m, given that -m**3/2 - 357*m**2/2 - 31683*m/2 + 32041/2 = 0.
-179, 1
Factor b**3 + 9*b**2 + 8*b.
b*(b + 1)*(b + 8)
Let -q**4/6 - 218*q**3/3 + 585*q**2/2 - 1099*q/3 + 440/3 = 0. Calculate q.
-440, 1, 2
Factor 4*b**2 - 64*b - 144.
4*(b - 18)*(b + 2)
What is u in 2*u**5/11 - 10*u**4/11 + 6*u**3/11 + 10*u**2/11 - 8*u/11 = 0?
-1, 0, 1, 4
Find s, given that -s**4/5 - 82*s**3/5 - 1837*s**2/5 - 6396*s/5 - 6084/5 = 0.
-39, -2
Let -2*f**5/3 - 6*f**4 - 46*f**3/3 - 2*f**2 + 24*f = 0. What is f?
-4, -3, 0, 1
Let f**2 - 46*f - 1071 = 0. What is f?
-17, 63
What is u in -2*u**2 - 496*u - 30752 = 0?
-124
What is m in -5*m**4 - 15*m**3 + 225*m**2 + 875*m = 0?
-5, 0, 7
Solve -18*n**3/23 + 390*n**2/23 - 112*n + 4704/23 = 0.
3, 28/3
Solve 2*x**5/15 + 116*x**4/15 + 1436*x**3/15 - 7072*x**2/15 + 9362*x/15 - 3844/15 = 0.
-31, 1, 2
Factor 2*w**4 - 100*w**3 + 1464*w**2 - 4400*w - 15488.
2*(w - 22)**2*(w - 8)*(w + 2)
Let p**5/7 - 60*p**4/7 - 186*p**3/7 - 188*p**2/7 - 9*p = 0. Calculate p.
-1, 0, 63
Factor 5*d**5 - 110*d**4 + 390*d**3 - 560*d**2 + 365*d - 90.
5*(d - 18)*(d - 1)**4
Solve 2*g**3/13 + 16*g**2/13 - 38*g/13 + 20/13 = 0 for g.
-10, 1
Suppose 3*p**4 + 594*p**3 + 30567*p**2 + 115236*p + 112908 = 0. Calculate p.
-97, -2
Factor -s**2/4 - 339*s/2.
-s*(s + 678)/4
Find a such that -126*a**5 - 1041*a**4/2 + 7530*a**3 + 1128*a**2 - 2184*a + 360 = 0.
-10, -2/3, 1/4, 2/7, 6
Solve 1156*v**2/5 - 43248*v/5 + 404496/5 = 0.
318/17
Suppose d**3/2 + 1221*d**2/2 + 610*d = 0. Calculate d.
-1220, -1, 0
Factor 2*b**3 - 512*b**2 + 5928*b - 17568.
2*(b - 244)*(b - 6)**2
Factor 4*w**4/9 - 32*w**3/3 + 52*w**2 + 1352*w/9.
4*w*(w - 13)**2*(w + 2)/9
Factor -20*z**3 + 100*z**2 - 165*z + 90.
-5*(z - 2)*(2*z - 3)**2
Let 20*j**3 + 880*j**2 + 865*j + 215 = 0. Calculate j.
-43, -1/2
Let q**3/5 + 29*q**2 + 5328*q/5 + 5184/5 = 0. Calculate q.
-72, -1
Let -z**3/3 - 3*z**2 + 7*z - 11/3 = 0. What is z?
-11, 1
Suppose -2*r**3 + 2372*r**2 + 4752*r = 0. What is r?
-2, 0, 1188
Suppose a**5/2 + 260*a**4 - 521*a**3/2 = 0. What is a?
-521, 0, 1
Factor 5*i**3 - 50*i**2 - 115*i - 60.
5*(i - 12)*(i + 1)**2
Determine p so that -2*p**2 + 276*p - 274 = 0.
1, 137
Solve 5*s**3/8 - 13*s**2/2 - 35*s/8 + 11/4 = 0.
-1, 2/5, 11
Determine u so that -3*u**3 - 33*u**2 + 171*u - 135 = 0.
-15, 1, 3
Factor q**3/3 - 11*q**2/3.
q**2*(q - 11)/3
Suppose m**5/4 - 219*m**4/2 - 879*m**3/4 - 110*m**2 = 0. Calculate m.
-1, 0, 440
Factor -w**3/2 - 35*w**2/2 - 144*w + 162.
-(w - 1)*(w + 18)**2/2
Find u, given that -4*u**3/7 + 78*u**2/7 - 174*u/7 + 68/7 = 0.
1/2, 2, 17
Factor 20*k**3 - 155*k**2 + 280*k + 80.
5*(k - 4)**2*(4*k + 1)
Factor o**4/4 + 7*o**3/2 + 35*o**2/4 + 11*o/2.
o*(o + 1)*(o + 2)*(o + 11)/4
Solve 2*x**4/11 - 18*x**2/11 + 8*x/11 + 24/11 = 0 for x.
-3, -1, 2
Factor 3*h**5 + 81*h**4 - 261*h**3 + 267*h**2 - 90*h.
3*h*(h - 1)**3*(h + 30)
Determine j so that 2*j**4/3 + 11*j**3 + 118*j**2/3 + 41*j + 12 = 0.
-12, -3, -1, -1/2
Factor -2*u**4/13 + 6*u**3/13 - 4*u**2/13.
-2*u**2*(u - 2)*(u - 1)/13
Determine q, given that 2*q**4/9 - 40*q**3/9 - 2*q**2/3 + 124*q/9 - 80/9 = 0.
-2, 1, 20
Determine l, given that l**5/2 + l**4/2 - 45*l**3/2 - 5*l**2/2 + 62*l + 42 = 0.
-7, -1, 2, 6
Factor -3*c**2 + 810*c - 7047.
-3*(c - 261)*(c - 9)
Factor t**2/2 - 25*t/2 + 23.
(t - 23)*(t - 2)/2
Factor 4*x**5 + 8*x**4 - 28*x**3 - 80*x**2 - 48*x.
4*x*(x - 3)*(x + 1)*(x + 2)**2
Factor n**5/6 - 3*n**4 + 64*n**3/3 - 224*n**2/3 + 128*n - 256/3.
(n - 4)**4*(n - 2)/6
Determine y, given that -y**4/2 - 6*y**3 - 19*y**2/2 + 6*y + 10 = 0.
-10, -2, -1, 1
What is x in x**3/7 + 381*x**2/7 - 382*x/7 = 0?
-382, 0, 1
Determine w so that -2*w**4 + 238*w**3 + 976*w**2 + 984*w = 0.
-2, 0, 123
Factor 114481125*d**2 - 95700*d + 20.
5*(4785*d - 2)**2
Factor 2*s**2 + 46*s + 84.
2*(s + 2)*(s + 21)
Factor 185761*d**2/9 - 1724*d/9 + 4/9.
(431*d - 2)**2/9
Factor -a**3 - a**2 + 5*a - 3.
-(a - 1)**2*(a + 3)
Find k, given that 5*k**2 + 940*k + 935 = 0.
-187, -1
Determine b so that 6*b**5 + 81*b**4 + 99*b**3 - 114*b**2 - 72*b = 0.
-12, -2, -1/2, 0, 1
Factor -5*l**2 - 390*l + 3915.
-5*(l - 9)*(l + 87)
Determine r, given that 18*r**5/11 - 2850*r**4/11 - 7710*r**3/11 - 2910*r**2/11 + 1932*r/11 = 0.
-2, -1, 0, 1/3, 161
Solve -s**2/7 + 41*s/7 + 86/7 = 0 for s.
-2, 43
Factor o**4/3 - 146*o**3/3 + 1727*o**2 + 10804*o/3 + 5476/3.
(o - 74)**2*(o + 1)**2/3
Factor -3*a**3/11 - 2*a**2/11 + 3*a/11 + 2/11.
-(a - 1)*(a + 1)*(3*a + 2)/11
Factor -3*t**3/7 - 5367*t**2/7 - 2397705*t/7 + 2403075/7.
-3*(t - 1)*(t + 895)**2/7
Factor -3*x**2 + 9*x + 12.
-3*(x - 4)*(x + 1)
Determine d so that -3*d**3 + 75*d**2 + 159*d + 81 = 0.
-1, 27
Determine z, given that -4*z**5 + 27*z**4 - 49*z**3 + 18*z**2 + 8*z = 0.
-1/4, 0, 1, 2, 4
Find w, given that w**2 + 106*w + 2809 = 0.
-53
Let 10*u**5/3 + 1085*u**4/3 - 1675*u**3 + 6760*u**2/3 - 2260*u/3 = 0. Calculate u.
-113, 0, 1/2, 2
Factor -10*j**4 + 16*j**3 + 14*j**2 - 12*j.
-2*j*(j - 2)*(j + 1)*(5*j - 3)
Determine k so that -2*k**3/11 - 76*k**2/11 + 78*k/11 = 0.
-39, 0, 1
Let q**3 - 31*q**2 + 228*q = 0. Calculate q.
0, 12, 19
Solve -3*h**4/4 + 9*h**3/2 - 33*h**2/4 + 9*h/2 = 0.
0, 1, 2, 3
Determine f so that -f**3/4 - 7*f**2/2 + 185*f/4 + 99/2 = 0.
-22, -1, 9
Find q such that q**4/3 + 41*q**3/3 + 137*q**2/3 - 401*q/3 + 74 = 0.
-37, -6, 1
Suppose -4*x**3 + 44*x**2 - 40*x = 0. What is x?
0, 1, 10
Find y, given that 5*y**3 - 90*y**2 + 405*y = 0.
0, 9
Determine y so that 5*y**2 + 1160*y + 1155 = 0.
-231, -1
Suppose j**5 + 13*j**4 + 44*j**3 - 16*j**2 - 192*j - 144 = 0. Calculate j.
-6, -2, -1, 2
Factor -10*a**2/7 + 334*a/7 + 936/7.
-2*(a - 36)*(5*a + 13)/7
Factor 3*y**3/4 - 1845*y**2/4 + 69750*y + 360375.
3*(y - 310)**2*(y + 5)/4
Factor 4*w**3 + 80*w**2 + 148*w + 72.
4*(w + 1)**2*(w + 18)
Factor -4*a**2 + 60*a + 736.
-4*(a - 23)*(a + 8)
Suppose -v**2/6 + 80*v - 9600 = 0. What is v?
240
Factor -i**2/5 + 242*i/5 - 241/5.
-(i - 241)*(i - 1)/5
Let -2*i**2/3 - 26*i/3 + 76 = 0. Calculate i.
-19, 6
Factor p**2/4 + 53*p/2 + 2809/4.
(p + 53)**2/4
What is z in -47*z**3/4 - 1501*z**2/8 - 746*z + 24 = 0?
-8, 3/94
Find q, given that -q**2/2 + 75*q - 441/2 = 0.
3, 147
Find j, given that j**4 + 11*j**3 + 2*j**2 - 200*j - 192 = 0.
-8, -6, -1, 4
What is b in -22*b**5/15 - 158*b**4/15 + 196*b**3/5 - 328*b**2/15 - 16*b/3 = 0?
-10, -2/11, 0, 1, 2
Find p such that 3*p**4/7 - 27*p**3/7 - 78*p**2/7 + 648*p/7 + 192 = 0.
-4, -2, 7, 8
What is g in g**3/4 - 7*g**2/4 - 21*g/4 + 27/4 = 0?
-3, 1, 9
Let -v**2/6 - 47*v/6 = 0. Calculate v.
-47, 0
Find k, given that -14*k**5/9 + 478*k**4/9 + 938*k**3/9 - 46*k**2/9 - 308*k/3 - 48 = 0.
-1, -6/7, 1, 36