28*l**2/3 + 98*l/3 + 24.
2*(l + 1)*(l + 4)*(l + 9)/3
Solve -2*i**5 - 184*i**4 - 504*i**3 + 2636*i**2 - 3014*i + 1068 = 0 for i.
-89, -6, 1
Factor -4*i**3/5 - 12*i**2/5 + 37*i/5 - 3.
-(i + 5)*(2*i - 3)*(2*i - 1)/5
Let -n**4/2 - 85*n**3/2 + 87*n**2/2 + 85*n/2 - 43 = 0. Calculate n.
-86, -1, 1
Find i, given that i**2/4 + 165*i/2 = 0.
-330, 0
Factor 3*d**2/7 + 36*d + 729/7.
3*(d + 3)*(d + 81)/7
Factor -d**2 + 41*d + 42.
-(d - 42)*(d + 1)
Factor 2*l**2 - 89*l/3 - 5.
(l - 15)*(6*l + 1)/3
Let 2*y**5 + 12*y**4 + 22*y**3 + 4*y**2 - 24*y - 16 = 0. Calculate y.
-2, -1, 1
Solve 2*l**4 + 36*l**3 - 38*l**2 = 0.
-19, 0, 1
Factor -3*g**3 + 6*g**2 + 9*g.
-3*g*(g - 3)*(g + 1)
Factor 204*m**3 - 8*m**2 - 204*m + 8.
4*(m - 1)*(m + 1)*(51*m - 2)
Factor 2*l**2/11 + 32*l/11 + 78/11.
2*(l + 3)*(l + 13)/11
Factor -5*k**3 - 15*k**2 + 30*k + 40.
-5*(k - 2)*(k + 1)*(k + 4)
Suppose 7617*n**2/5 - 6*n/5 = 0. What is n?
0, 2/2539
Factor -b**2/3 - 1850*b/3 - 855625/3.
-(b + 925)**2/3
Factor 3*l**3 + 42*l**2 - 147*l + 102.
3*(l - 2)*(l - 1)*(l + 17)
Find v, given that 2*v**4/7 + 72*v**3/7 - 780*v**2/7 + 200*v + 2250/7 = 0.
-45, -1, 5
Factor u**3 + 2*u**2 - 5*u - 6.
(u - 2)*(u + 1)*(u + 3)
Let -2*b**5 - 20*b**4 - 44*b**3 + 56*b**2 + 110*b - 100 = 0. Calculate b.
-5, -2, 1
Factor 2*p**3 + 10*p**2 - 50*p - 250.
2*(p - 5)*(p + 5)**2
Factor -4*z**3 + 840*z**2 - 58800*z + 1372000.
-4*(z - 70)**3
Solve -v**5/2 + 3*v**4 + 7*v**3/2 = 0 for v.
-1, 0, 7
Factor -g**2/3 - 34*g/3 - 31.
-(g + 3)*(g + 31)/3
Factor 5*q**2 + 330*q.
5*q*(q + 66)
Suppose -i**4/2 + 8*i**3 - 36*i**2 + 64*i - 40 = 0. What is i?
2, 10
Factor 5*x**3/2 + 51*x**2 - 63*x/2.
x*(x + 21)*(5*x - 3)/2
Factor -3*u**2/4 + 27*u/2 - 24.
-3*(u - 16)*(u - 2)/4
Suppose -15*s**4 + 144*s**3 - 426*s**2 + 432*s - 135 = 0. What is s?
3/5, 1, 3, 5
Find k such that -367*k**4/5 - 147*k**3 - 369*k**2/5 - k/5 = 0.
-1, -1/367, 0
Determine d so that 4*d**5 - 76*d**4 + 68*d**3 + 76*d**2 - 72*d = 0.
-1, 0, 1, 18
Factor -h**4 + 2*h**3 + 48*h**2.
-h**2*(h - 8)*(h + 6)
Factor -2*z**4 + 72*z**3 - 326*z**2 + 504*z - 248.
-2*(z - 31)*(z - 2)**2*(z - 1)
Factor j**2 + 2792*j + 1948816.
(j + 1396)**2
Find d, given that 3*d**5/2 + 3*d**4 - 3*d**2 - 3*d/2 = 0.
-1, 0, 1
Factor -5*q**3/7 - 219*q**2/7 - 571*q/7 + 123/7.
-(q + 3)*(q + 41)*(5*q - 1)/7
Factor -4*g**3 + 172*g**2 - 1820*g + 5684.
-4*(g - 29)*(g - 7)**2
Let -n**3/5 + 2*n**2/5 - n/5 = 0. What is n?
0, 1
Factor -4*i**4 + 8*i**3 + 32*i**2.
-4*i**2*(i - 4)*(i + 2)
Suppose -2*q**3/13 - 5916*q**2/13 - 5833176*q/13 - 1917170512/13 = 0. Calculate q.
-986
Factor 3*f**2 - 216*f + 3888.
3*(f - 36)**2
Factor 2*a**3/3 + 34*a**2/3 - 82*a/3 - 38.
2*(a - 3)*(a + 1)*(a + 19)/3
Find g such that -g**3/10 + 47*g**2/5 - 288*g + 14256/5 = 0.
22, 36
Factor -p**4/2 - p**3/2 + p**2/2 + p/2.
-p*(p - 1)*(p + 1)**2/2
Factor h**3 - 7*h**2 + 8*h + 16.
(h - 4)**2*(h + 1)
Determine t so that 12*t**2 - 13059*t + 3264 = 0.
1/4, 1088
Determine w so that 5*w**5/2 - 65*w**4/4 + 15*w**3 + 85*w**2/4 - 25*w/2 = 0.
-1, 0, 1/2, 2, 5
Determine g, given that -2*g**2/9 - 2*g/3 - 4/9 = 0.
-2, -1
Factor -2*m**4/7 + 20*m**3/7 - 18*m**2/7.
-2*m**2*(m - 9)*(m - 1)/7
Factor 5*w**4 - 15*w**3 - 50*w**2.
5*w**2*(w - 5)*(w + 2)
Determine x, given that 2*x**5/9 + 170*x**4/9 + 3860*x**3/9 + 10580*x**2/9 + 10250*x/9 + 3362/9 = 0.
-41, -1
Find z such that -4*z**3/11 + 2*z**2 + 14*z/11 - 12/11 = 0.
-1, 1/2, 6
Suppose -g**2 + 190*g + 579 = 0. Calculate g.
-3, 193
Factor -d**4/2 + d**3 + 6*d**2 - 4*d - 16.
-(d - 4)*(d - 2)*(d + 2)**2/2
Let 8*t**3 - 12*t**2 - 8*t + 12 = 0. Calculate t.
-1, 1, 3/2
Let 2*c**5/3 - 14*c**4/3 - 40*c**3/3 + 88*c**2 + 96*c = 0. What is c?
-4, -1, 0, 6
Solve -10*c**3/11 - 36*c**2/11 - 18*c/11 = 0 for c.
-3, -3/5, 0
Factor g**3/5 + 3479*g**2/5.
g**2*(g + 3479)/5
Let -5*y**2 - 2660*y - 353780 = 0. What is y?
-266
Factor 3*l**2 - 78*l + 507.
3*(l - 13)**2
Factor -v**3/4 + 49*v**2 - 637*v.
-v*(v - 182)*(v - 14)/4
Factor 3*j**2/7 - 93*j/7 + 90/7.
3*(j - 30)*(j - 1)/7
Determine w, given that -w**3 - 63*w**2 + 70*w + 384 = 0.
-64, -2, 3
Factor -260917119*d**3/2 - 1224963*d**2/2 - 1917*d/2 - 1/2.
-(639*d + 1)**3/2
Determine x, given that -x**4/2 - 5*x**3/2 + 113*x**2/2 + 117*x/2 = 0.
-13, -1, 0, 9
Factor 2*q**3/3 + 46*q**2/3 - 70*q + 54.
2*(q - 3)*(q - 1)*(q + 27)/3
Let -3*u**4 + 60*u**3 + 63*u**2 = 0. What is u?
-1, 0, 21
Factor -a**5 + 7*a**4 - 8*a**3 - 16*a**2.
-a**2*(a - 4)**2*(a + 1)
Suppose -4*m**2/7 + 100*m/7 - 184/7 = 0. Calculate m.
2, 23
Factor -2*s**3/5 - 2*s**2 - 8*s/5.
-2*s*(s + 1)*(s + 4)/5
Factor -3*p**3 - 27*p**2 + 147*p - 117.
-3*(p - 3)*(p - 1)*(p + 13)
Factor q**5/8 + 5*q**4/8 + 3*q**3/8 - 5*q**2/8 - q/2.
q*(q - 1)*(q + 1)**2*(q + 4)/8
Solve 20*f**5 + 12515*f**4 - 28230*f**3 + 18835*f**2 - 3140*f = 0.
-628, 0, 1/4, 1
Factor 4*x**2 - 4.
4*(x - 1)*(x + 1)
Find l such that -5*l**3 + 2580*l**2 - 443760*l + 25442240 = 0.
172
Let -4050*u**5 - 16202*u**4 - 24308*u**3 - 16212*u**2 - 4058*u - 2 = 0. Calculate u.
-1, -1/2025
What is y in -2*y**5 + 18*y**3 + 8*y**2 - 24*y = 0?
-2, 0, 1, 3
Factor 2*p**5/5 - 726*p**4/5 + 1446*p**3/5 - 722*p**2/5.
2*p**2*(p - 361)*(p - 1)**2/5
Solve -2*z**2/11 + 648*z/11 + 650/11 = 0.
-1, 325
Solve -6*m**5 - 8*m**4 + 4*m**3 + 8*m**2 + 2*m = 0.
-1, -1/3, 0, 1
Find i, given that -42*i**5 - 440*i**4/3 + 374*i**3/3 + 136*i**2 - 248*i/3 + 32/3 = 0.
-4, -1, 2/9, 2/7, 1
Suppose 7*a**4 - 156*a**3 + 667*a**2 - 654*a + 136 = 0. What is a?
2/7, 1, 4, 17
Factor -2*x**3/5 - 108*x**2/5 - 62*x - 204/5.
-2*(x + 1)*(x + 2)*(x + 51)/5
Factor k**3 + 6*k**2 - 15*k + 8.
(k - 1)**2*(k + 8)
Let -4*q**5 - 8*q**4 + 172*q**3 + 944*q**2 + 1776*q + 1152 = 0. What is q?
-3, -2, 8
Determine h, given that -h**2/4 - 15*h/2 - 29/4 = 0.
-29, -1
Factor 2*y**3/9 - 32*y**2/9 - 38*y/9 + 68/9.
2*(y - 17)*(y - 1)*(y + 2)/9
Factor -p**2/6 + 81*p/2 - 121/3.
-(p - 242)*(p - 1)/6
Factor -2*d**3/5 - 16*d**2/5 - 22*d/5 + 8.
-2*(d - 1)*(d + 4)*(d + 5)/5
Determine t so that t**2 - 5*t - 14 = 0.
-2, 7
Factor -3*m**3/4 + 9*m**2/4 + 39*m/4 - 45/4.
-3*(m - 5)*(m - 1)*(m + 3)/4
Factor 5*z**3 + 150*z**2 + 240*z - 1120.
5*(z - 2)*(z + 4)*(z + 28)
Solve 112*a**5 - 122*a**4 - 226*a**3 + 32*a**2 + 24*a = 0 for a.
-1, -2/7, 0, 3/8, 2
Solve 2*n**5/3 + 32*n**4/3 + 36*n**3 + 152*n**2/3 + 98*n/3 + 8 = 0.
-12, -1
Find x, given that -5*x**3 - 230*x**2 - 2400*x + 5760 = 0.
-24, 2
Factor 4*k**2 + 1416*k - 2848.
4*(k - 2)*(k + 356)
Let -y**2/2 - 121*y/2 = 0. What is y?
-121, 0
Find u such that 5*u**5/4 + 105*u**4/2 + 100*u**3 - 5*u**2/2 - 405*u/4 - 50 = 0.
-40, -1, 1
Determine u so that -u**3/11 + 590*u**2/11 + u/11 - 590/11 = 0.
-1, 1, 590
Factor r**5/9 - 2*r**4/3 - 5*r**3/3 - 8*r**2/9.
r**2*(r - 8)*(r + 1)**2/9
Determine a, given that -2*a**4/13 - 6*a**3/13 + 6*a**2/13 + 22*a/13 + 12/13 = 0.
-3, -1, 2
Determine p, given that p**4/7 - 6*p**3/7 + 12*p**2/7 - 10*p/7 + 3/7 = 0.
1, 3
Factor 3*l**2 - 2202*l + 404067.
3*(l - 367)**2
Determine i so that 2*i**2/7 - 2094*i/7 + 2092/7 = 0.
1, 1046
Factor 2*g**3/11 - 10*g**2/11 - 12*g/11.
2*g*(g - 6)*(g + 1)/11
Factor 3*d**4 + 195*d**3 - 213*d**2 - 999*d - 594.
3*(d - 3)*(d + 1)**2*(d + 66)
Determine x so that 4*x**5/3 - 46*x**4/3 + 42*x**3 - 116*x**2/3 + 32*x/3 = 0.
0, 1/2, 1, 2, 8
What is w in -16*w**4/5 + 308*w**3/5 - 1772*w**2/5 + 2728*w/5 - 576/5 = 0?
1/4, 2, 8, 9
Suppose 6*w**5/5 + 30*w**4 + 300*w**3 + 1500*w**2 + 3750*w + 3750 = 0. What is w?
-5
Suppose -4*z**2 - 244*z + 504 = 0. Calculate z.
-63, 2
What is p in 3564*p**4/5 - 954*p**3/5 + 16*p**2 - 2*p/5 = 0?
0, 1/22, 1/9
Factor 28*w**3/15 + 16906*w**2/15 + 2550088*w/15 - 182408/5.
2*(w + 302)**2*(14*w - 3)/15
Find y such that -2*y**2/3 + 152*y/9 - 50/9 = 0.
1/3, 25
Factor 2*a**4 - 108*a**2 - 432*a - 486.
2*(a - 9)*(a + 3)**3
Determine w so that -2*w**2 + 24*w - 70 = 0.
5, 7
Solve -14*m**4 - 20*m**3 + 58*m**2 - 24*m = 0.
-3, 0, 4/7, 1
Factor -4*r**2/5 - 3448*r/5 - 3444/5.
-4*(r + 1)*(r + 861)/5
Solve -4*l**4/3 + 116*l**3/3 + 128*l**2/3 - 80*l = 0.
-2, 0, 1, 30
Suppose -5*q**5 - 55*q**4 - 210*q**3 - 320*q**2 - 160*q = 0. Calculate q.
-4, -2, -1, 0
Factor 3*p**3/4 - 57*p**2/8 - 39*p/8 + 45/4.
3*(p - 10)*(p - 1)*(2*p + 3)/8
Solve -4*s**3 + 120*s**2 - 1008*s + 1568 = 0.
2, 14
Suppose -4*z**3/7 + 4*z**2 + 12*z - 108/7 = 0. What is z?
-3, 1, 9
Factor s**5 - 34*s**4 + 96*s**3 -