r -4*t**3 - 356*t**2 - 700*t - 348.
-4*(t + 1)**2*(t + 87)
Factor -2*i**3/17 + 78*i**2/17 - 556*i/17 + 480/17.
-2*(i - 30)*(i - 8)*(i - 1)/17
Suppose 3*j**5 + 24*j**4 + 72*j**3 + 96*j**2 + 48*j = 0. What is j?
-2, 0
Factor x**5 + 34*x**4 + 310*x**3 + 1072*x**2 + 1345*x + 550.
(x + 1)**2*(x + 5)**2*(x + 22)
Let -j**5/9 - 230*j**4/9 - 13222*j**3/9 + 688*j**2/9 + 39215*j/9 - 26450/9 = 0. Calculate j.
-115, -2, 1
Factor -10*m**4 - 6*m**3 + 4*m**2.
-2*m**2*(m + 1)*(5*m - 2)
Let 36*r**5 + 107*r**4 - 41*r**3 - 113*r**2 + 5*r + 6 = 0. What is r?
-3, -1, -2/9, 1/4, 1
Determine g so that 2*g**2/7 - 62*g/7 - 180 = 0.
-14, 45
Factor 2*q**4/5 - 8*q**3 + 74*q**2/5 - 36*q/5.
2*q*(q - 18)*(q - 1)**2/5
Suppose 5*n**4 - 45*n**3 + 65*n**2 + 45*n - 70 = 0. Calculate n.
-1, 1, 2, 7
Let -2*u**4/9 - 4*u**3/3 + 10*u**2/3 - 16*u/9 = 0. Calculate u.
-8, 0, 1
Factor 2*i**3 + 372*i**2 + 15714*i - 150544.
2*(i - 8)*(i + 97)**2
Suppose -4*y**4/5 + 38*y**3/5 - 18*y**2 + 36*y/5 = 0. What is y?
0, 1/2, 3, 6
Let -2*g**2 + 86*g + 180 = 0. What is g?
-2, 45
Find z, given that z**2 - 21*z + 98 = 0.
7, 14
Let g**3 + 35*g**2 = 0. What is g?
-35, 0
Find n such that n**3/8 - 5*n**2/2 = 0.
0, 20
Factor 3*l**3 + 1347*l**2 - 2706*l.
3*l*(l - 2)*(l + 451)
Factor 3*d**2/4 - 105*d/4 - 111/2.
3*(d - 37)*(d + 2)/4
Factor -3*m**3/5 + 47*m**2/5 - 6*m.
-m*(m - 15)*(3*m - 2)/5
Factor -15*b**2 + 35*b.
-5*b*(3*b - 7)
Factor -27*g**5/7 - 459*g**4/7 - 1710*g**3/7 + 2026*g**2/7 - 711*g/7 + 81/7.
-(g + 9)**2*(3*g - 1)**3/7
Suppose 8*u**4 + 60*u**3 + 16*u**2 - 84*u = 0. Calculate u.
-7, -3/2, 0, 1
Factor 5*z**3/2 - 40*z**2 + 150*z.
5*z*(z - 10)*(z - 6)/2
Find l such that 2*l**3/13 + 28*l**2 + 2130*l/13 + 3168/13 = 0.
-176, -3
Suppose -4*v**4 - 16*v**3 + 88*v**2 + 16*v - 84 = 0. What is v?
-7, -1, 1, 3
Suppose -l**4 + 6*l**3 - 9*l**2 = 0. What is l?
0, 3
Suppose 2*n**4/7 + 10*n**3/7 - 18*n**2/7 - 90*n/7 = 0. What is n?
-5, -3, 0, 3
Let -9*h**2 - 1167*h + 390 = 0. Calculate h.
-130, 1/3
Suppose -5*s**2 - 54970*s - 151085045 = 0. What is s?
-5497
Factor -2*n**3 - 88*n**2 - 250*n - 164.
-2*(n + 1)*(n + 2)*(n + 41)
Factor u**2/5 + 4*u/5 + 3/5.
(u + 1)*(u + 3)/5
Factor 4*p**4/3 - 8*p**3/3 + 4*p**2/3.
4*p**2*(p - 1)**2/3
Factor -5*z**4 + 20*z**3 - 20*z**2.
-5*z**2*(z - 2)**2
Factor -5*y**2 + 185*y.
-5*y*(y - 37)
Let w**3 - 2*w**2 - 19*w + 20 = 0. What is w?
-4, 1, 5
Suppose 4*w**2 - 2632*w + 5248 = 0. What is w?
2, 656
Factor 2*b**3/9 + 250*b**2/3 + 31250*b/3 + 3906250/9.
2*(b + 125)**3/9
Factor -5*r**3 + 65*r**2 + 45*r - 2025.
-5*(r - 9)**2*(r + 5)
Factor j**4/2 - 7*j**2/2 + 3*j.
j*(j - 2)*(j - 1)*(j + 3)/2
Factor 2*j**5/7 - 10*j**4/7 + 12*j**3/7 + 4*j**2/7 - 2*j + 6/7.
2*(j - 3)*(j - 1)**3*(j + 1)/7
Factor 3*n**2 + 843*n + 7344.
3*(n + 9)*(n + 272)
Factor -2*z**2/9 + 158*z/9 - 52/3.
-2*(z - 78)*(z - 1)/9
Solve -2*c**3/3 - 102*c**2 + 2*c/3 + 102 = 0 for c.
-153, -1, 1
Suppose -3*j**5 + 6*j**4 + 9*j**3 - 12*j**2 - 12*j = 0. Calculate j.
-1, 0, 2
Find c, given that 3*c**4/7 + 108*c**3/7 + 174*c**2/7 - 2484*c - 17457/7 = 0.
-23, -1, 11
Factor h**5/7 + h**4/7 - 27*h**3/7 + 27*h**2/7 + 54*h/7.
h*(h - 3)**2*(h + 1)*(h + 6)/7
Factor -2*g**4 - 96*g**3 - 438*g**2 - 344*g.
-2*g*(g + 1)*(g + 4)*(g + 43)
Find a, given that -5*a**5 + 20*a**4 + 180*a**3 + 370*a**2 + 305*a + 90 = 0.
-2, -1, 9
Let -5*b**2 + 2460*b + 2465 = 0. What is b?
-1, 493
What is z in -z**2/7 + 83*z/7 - 82/7 = 0?
1, 82
Suppose 4*i**4 - 108*i**3 + 204*i**2 - 100*i = 0. What is i?
0, 1, 25
Factor -4900*w**4 - 39620*w**3 - 37669*w**2 - 3012*w - 63.
-(w + 1)*(w + 7)*(70*w + 3)**2
Factor 45*u**3 - 170*u**2 - 580*u - 120.
5*(u - 6)*(u + 2)*(9*u + 2)
Find t, given that t**5/9 + 61*t**4/9 + 208*t**3/3 + 196*t**2 = 0.
-49, -6, 0
Find o such that o**3 - 184*o**2 + 183*o = 0.
0, 1, 183
Determine g so that -2*g**4/5 + 38*g**3/5 + 2*g**2/5 - 38*g/5 = 0.
-1, 0, 1, 19
Factor -5*o**4 + 30*o**3 + 15*o**2 - 80*o - 60.
-5*(o - 6)*(o - 2)*(o + 1)**2
Factor 8*m**3/21 - 6*m**2/7 + 4*m/7 - 2/21.
2*(m - 1)**2*(4*m - 1)/21
Factor -2*a**3/13 - 542*a**2/13 + 1090*a/13 - 42.
-2*(a - 1)**2*(a + 273)/13
What is y in -54*y**4 + 525*y**3 - 1707*y**2 + 1974*y - 360 = 0?
2/9, 5/2, 3, 4
Determine t so that 4*t**3 - 400*t**2 - 812*t - 408 = 0.
-1, 102
Factor g**2/2 + 14*g - 29/2.
(g - 1)*(g + 29)/2
Determine i, given that -2*i**5/7 - 2*i**4/7 + 6*i**3/7 + 2*i**2/7 - 4*i/7 = 0.
-2, -1, 0, 1
Factor -4*c**5/7 + 16*c**4 - 300*c**3/7.
-4*c**3*(c - 25)*(c - 3)/7
Let -3*j**2 - 27*j + 108 = 0. What is j?
-12, 3
Solve 7*r**5 - 47*r**4 + 56*r**3 + 20*r**2 = 0 for r.
-2/7, 0, 2, 5
Suppose 196*l**5 + 21980*l**4 - 41280*l**3 + 172000*l**2/7 - 41920*l/7 + 3648/7 = 0. Calculate l.
-114, 2/7, 1
Factor g**3 + 285*g**2.
g**2*(g + 285)
Factor 4*s**3 - 154*s**2 + 1360*s + 2400.
2*(s - 20)**2*(2*s + 3)
Find y, given that -10*y**3/3 - 202*y**2/3 + 920*y/3 + 64 = 0.
-24, -1/5, 4
Factor 8*i**3 + 1036*i**2 + 9080*i - 4800.
4*(i + 10)*(i + 120)*(2*i - 1)
Suppose -4578*w**3 + 3263*w**2 + 1313*w + 2 = 0. What is w?
-2/7, -1/654, 1
Let -2*n**3 + 14*n**2 - 20*n = 0. What is n?
0, 2, 5
Factor -4*j**2 - 2968*j - 550564.
-4*(j + 371)**2
Factor -2*c**3 - 36*c**2 + 270*c - 432.
-2*(c - 3)**2*(c + 24)
Determine a so that 3*a**2 - 6*a + 3 = 0.
1
Suppose 2149*c**3 - 2742*c**2 + 587*c + 6 = 0. What is c?
-3/307, 2/7, 1
Factor 2*w**2 - 26*w - 60.
2*(w - 15)*(w + 2)
Factor -2*d**3/9 + 52*d**2/9 - 352*d/9 + 512/9.
-2*(d - 16)*(d - 8)*(d - 2)/9
Determine m so that 5*m**5 + 20*m**4 - 55*m**3 + 30*m**2 = 0.
-6, 0, 1
Solve 3*p**3 + 66*p**2 + 63*p = 0 for p.
-21, -1, 0
Factor -2*n**4/19 + 986*n**3/19 - 162360*n**2/19 + 8983264*n/19 - 8821888/19.
-2*(n - 164)**3*(n - 1)/19
Let -j**2/2 + 1839*j/2 + 1841 = 0. Calculate j.
-2, 1841
Factor -4*y**3 + 40*y**2 - 108*y + 72.
-4*(y - 6)*(y - 3)*(y - 1)
Factor -4*z**2 - 3700*z.
-4*z*(z + 925)
Determine n, given that 5*n**2 - 690*n + 23805 = 0.
69
Factor b**3 - 126*b**2 + 371*b - 246.
(b - 123)*(b - 2)*(b - 1)
Suppose 22*o**2 + 80*o - 32 = 0. What is o?
-4, 4/11
Factor -1440*a**2 + 25*a.
-5*a*(288*a - 5)
Factor -2*p**3 + 62*p**2 - 224*p + 216.
-2*(p - 27)*(p - 2)**2
What is b in -15*b**5 + 3*b**4 + 15*b**3 - 3*b**2 = 0?
-1, 0, 1/5, 1
Factor 4*z**5/3 - 52*z**4/3 + 60*z**3 + 100*z**2/3 - 1000*z/3.
4*z*(z - 5)**3*(z + 2)/3
Factor -z**3/3 - z**2 + 4*z/3.
-z*(z - 1)*(z + 4)/3
Factor -2*i**3/7 - 18*i**2/7 + 108*i/7 + 432/7.
-2*(i - 6)*(i + 3)*(i + 12)/7
Factor -2*k**3/11 + 36*k**2/11.
-2*k**2*(k - 18)/11
Suppose m**5 - 6*m**4 + 4*m**3 + 6*m**2 - 5*m = 0. Calculate m.
-1, 0, 1, 5
Suppose -6*p**5/5 - 4*p**4 + 46*p**3/5 - 4*p**2 = 0. What is p?
-5, 0, 2/3, 1
Determine o, given that 2*o**3 + 76*o**2 + 278*o + 204 = 0.
-34, -3, -1
Solve -4*o**3/5 - 8*o**2 - 124*o/5 - 24 = 0.
-5, -3, -2
Determine u, given that 14*u**3/9 - 262*u**2/9 - 2624*u/9 - 728/9 = 0.
-7, -2/7, 26
Solve 4*v**5 - 36*v**4 - 1032*v**3 - 5432*v**2 - 10236*v - 5796 = 0.
-7, -3, -1, 23
Factor u**3/5 + 8*u**2/5 - 4*u.
u*(u - 2)*(u + 10)/5
Factor -5*g**3 + 170*g**2 + 355*g + 180.
-5*(g - 36)*(g + 1)**2
Factor -5*d**4 - 35*d**3 - 30*d**2 + 160*d + 160.
-5*(d - 2)*(d + 1)*(d + 4)**2
Find k such that -2*k**2/11 + 84*k/11 - 234/11 = 0.
3, 39
Solve 2*r**4/11 + 2*r**3 - 6*r**2/11 - 70*r/11 - 4 = 0 for r.
-11, -1, 2
Factor b**3/5 + 33*b**2/5 - 69*b/5 + 7.
(b - 1)**2*(b + 35)/5
Find k such that -4*k**4/7 + 71*k**3/7 - 306*k**2/7 - 81*k/7 = 0.
-1/4, 0, 9
Factor -g**4/7 + 16*g**3/7 - 59*g**2/7 + 44*g/7.
-g*(g - 11)*(g - 4)*(g - 1)/7
Let -3*s**2 + 243*s + 246 = 0. What is s?
-1, 82
Factor -5*j**4 - 20*j**3 + 60*j**2.
-5*j**2*(j - 2)*(j + 6)
Suppose -2*x**4/3 - 742*x**3/3 - 3676*x**2/3 - 5864*x/3 - 976 = 0. What is x?
-366, -2, -1
Let r**2/2 + 7*r + 13/2 = 0. Calculate r.
-13, -1
Factor 52*n**2/5 + 16*n.
4*n*(13*n + 20)/5
Factor 3*i**3/4 - 825*i**2/4 - 1659*i/4 - 831/4.
3*(i - 277)*(i + 1)**2/4
Determine w, given that 2*w**5/9 + 26*w**4/9 - 46*w**3/3 - 26*w**2/9 + 136*w/9 = 0.
-17, -1, 0, 1, 4
Solve -j**2/4 - 3*j = 0 for j.
-12, 0
Let 3*p**4 - 9*p**3 - 12*p**2 + 36*p = 0. What is p?
-2, 0, 2, 3
Factor 20*u**4 + 125*u**3 - 110*u**2 - 35*u.
5*u*(u - 1)*(u + 7)*(4*u + 1)
Factor -3*v**2/4 - 87*v/4 - 81/2.
-3*(v + 2)*(v + 27)/4
Determine t, given that 2*t**4 + 176*t**3 + 994*t**2 + 820*t = 0.
-82, -5, -1, 0
Determine b, given that b**4/2 + 37*b**3/2 - 21