 0.
2, 188
Factor j**2/3 + 59*j/2 - 89/6.
(j + 89)*(2*j - 1)/6
Determine q so that -q**3/8 + q**2 - 5*q/8 - 7/4 = 0.
-1, 2, 7
Factor h**3 + 3*h**2 - 4.
(h - 1)*(h + 2)**2
What is u in -2*u**5 - 40*u**4 + 44*u**3 + 40*u**2 - 42*u = 0?
-21, -1, 0, 1
Suppose -v**3 + 8*v**2 - 21*v + 18 = 0. What is v?
2, 3
What is a in -22*a**4/3 + 38*a**3 - 36*a**2 + 16*a/3 = 0?
0, 2/11, 1, 4
Factor -25*s**4 + 110*s**3 - 141*s**2 + 44*s - 4.
-(s - 2)**2*(5*s - 1)**2
Determine q, given that 4*q**3 - 7268*q**2 + 7264*q = 0.
0, 1, 1816
Factor 3*o**3/7 - 39*o**2/7 - 87*o/7 - 45/7.
3*(o - 15)*(o + 1)**2/7
Factor -4*r**2 - 296*r.
-4*r*(r + 74)
Let -7*t**5/2 + 369*t**4/2 - 6215*t**3/2 + 32151*t**2/2 + 4851*t = 0. Calculate t.
-2/7, 0, 11, 21
Factor 2*r**2/3 - 34*r/9 + 20/9.
2*(r - 5)*(3*r - 2)/9
Factor 2*i**4/7 + 2*i**3/7 - 16*i**2/7 - 24*i/7.
2*i*(i - 3)*(i + 2)**2/7
Factor 3*v**4 - 18*v**3 + 3*v**2 + 72*v + 48.
3*(v - 4)**2*(v + 1)**2
Determine c, given that -15*c**5 - 55*c**4 + 115*c**3 + 195*c**2 - 100*c - 140 = 0.
-14/3, -1, 1, 2
Factor -2*l**2/9 - 7928*l/9 - 7856648/9.
-2*(l + 1982)**2/9
Determine j so that -j**2/2 - 7*j - 13/2 = 0.
-13, -1
Determine d so that 4*d**5 + 97*d**4 + 204*d**3 + 133*d**2 + 22*d = 0.
-22, -1, -1/4, 0
What is j in -7*j**3 - 1010*j**2 + 727*j + 290 = 0?
-145, -2/7, 1
Factor k**5/5 - 4*k**4/5 - 21*k**3/5 - 4*k**2/5 + 28*k/5.
k*(k - 7)*(k - 1)*(k + 2)**2/5
Factor 3*m**4/4 + 561*m**3 + 421863*m**2/4 + 417387*m/2.
3*m*(m + 2)*(m + 373)**2/4
Suppose 9*g**5/4 + 384*g**4 + 1269*g**3/2 + 126*g**2 - 507*g/4 = 0. Calculate g.
-169, -1, 0, 1/3
Factor -2*m**2/21 + 964*m/7 - 348486/7.
-2*(m - 723)**2/21
Factor -q**3 + 644*q**2 - 643*q.
-q*(q - 643)*(q - 1)
Factor -i**5/8 - 9*i**4/8 - 21*i**3/8 - 19*i**2/8 - 3*i/4.
-i*(i + 1)**3*(i + 6)/8
Factor -i**4/5 + 12*i**3/5 + 3*i**2 - 26*i/5.
-i*(i - 13)*(i - 1)*(i + 2)/5
Suppose 20*y**5 + 32*y**4 - 36*y**3 - 32*y**2 + 16*y = 0. What is y?
-2, -1, 0, 2/5, 1
Suppose -g**2/8 - 3*g/8 + 27/2 = 0. What is g?
-12, 9
Find x, given that x**5/10 - 2*x**4/5 - 16*x**3/5 - 8*x**2/5 + 56*x/5 + 64/5 = 0.
-2, 2, 8
Factor -15*q**3 + 115*q**2 - 160*q + 60.
-5*(q - 6)*(q - 1)*(3*q - 2)
Factor -2*v**4 + 168*v**3 - 4704*v**2 + 43904*v.
-2*v*(v - 28)**3
Solve 2*i**5/7 - 8*i**4/7 + 2*i**3/7 + 20*i**2/7 - 8*i/7 - 16/7 = 0.
-1, 2
What is m in -5*m**2 - 13595*m - 13590 = 0?
-2718, -1
Factor -4*w**2 - 11320*w - 11316.
-4*(w + 1)*(w + 2829)
Let -28*o**5 - 24*o**4 + 28*o**3 + 24*o**2 = 0. What is o?
-1, -6/7, 0, 1
Factor p**2/5 + 2*p/5 - 7.
(p - 5)*(p + 7)/5
Factor -v**3 - 3*v**2 + 4*v.
-v*(v - 1)*(v + 4)
Factor 9*j**5 - 2*j**4 - 108*j**3 - 120*j**2 + 32*j.
j*(j - 4)*(j + 2)**2*(9*j - 2)
Suppose 2*w**4/5 + 14*w**3/5 - 14*w**2/5 - 86*w/5 + 84/5 = 0. What is w?
-7, -3, 1, 2
What is c in 4*c**5 - 72*c**4 - 3*c**3 + 53*c**2 + 18*c = 0?
-1/2, 0, 1, 18
Factor w**5/2 - 13*w**4 + 125*w**3 - 550*w**2 + 2125*w/2 - 625.
(w - 10)*(w - 5)**3*(w - 1)/2
Solve -f**4 - 4*f**3 - 3*f**2 + 4*f + 4 = 0.
-2, -1, 1
Suppose -3*n**2/5 + 42*n/5 = 0. What is n?
0, 14
Suppose -12*r**3 + 14192*r**2 - 4200828*r + 2794248 = 0. What is r?
2/3, 591
Find x such that 2*x**4/3 - 6*x**3 + 10*x**2 - 14*x/3 = 0.
0, 1, 7
Suppose b**3/2 - 10*b**2 + 83*b/2 + 52 = 0. What is b?
-1, 8, 13
What is f in -2*f**5 + 94*f**4 - 90*f**3 - 94*f**2 + 92*f = 0?
-1, 0, 1, 46
Find b, given that -4*b**5 + 88*b**4 - 548*b**3 + 848*b**2 - 384*b = 0.
0, 1, 8, 12
Factor 4*u**2/3 + 44*u + 120.
4*(u + 3)*(u + 30)/3
Suppose 4*i**5 + 40*i**4 - 212*i**3 + 168*i**2 = 0. Calculate i.
-14, 0, 1, 3
Factor -5*m**3 - 6225*m**2 - 1934415*m + 1940645.
-5*(m - 1)*(m + 623)**2
Factor 11163*k**4/2 + 40260*k**3 + 55032*k**2 - 63360*k + 13824.
3*(k + 4)**2*(61*k - 24)**2/2
Factor 3*u**2 - 252*u + 729.
3*(u - 81)*(u - 3)
Find t, given that 4*t**2 - 6336*t + 2509056 = 0.
792
Factor 6*h**2/5 - 27*h + 66/5.
3*(h - 22)*(2*h - 1)/5
Factor 5*d**3 + 820*d**2 + 32785*d - 68890.
5*(d - 2)*(d + 83)**2
Factor -4*o**3 - 8*o**2.
-4*o**2*(o + 2)
What is i in 4*i**2/5 - 256*i/5 - 1088/5 = 0?
-4, 68
Suppose -2*k**2/5 - 46*k/5 - 264/5 = 0. Calculate k.
-12, -11
Factor -4*v**3 + 64*v**2 + 244*v - 304.
-4*(v - 19)*(v - 1)*(v + 4)
Suppose c**2/4 + 4715*c/2 + 22231225/4 = 0. What is c?
-4715
Find y, given that 8*y**5 + 230*y**4 + 1742*y**3 + 2486*y**2 + 626*y - 340 = 0.
-17, -10, -1, 1/4
Factor 2*o**2/13 + 864*o/13 - 6146/13.
2*(o - 7)*(o + 439)/13
Factor -5*x**2 + 245*x - 900.
-5*(x - 45)*(x - 4)
Suppose -8*m**5/3 - 188*m**4/3 - 528*m**3 - 5432*m**2/3 - 5096*m/3 + 1372 = 0. What is m?
-7, -3, 1/2
Solve -7*d**5 + 15*d**4/4 + 97*d**3/2 - 273*d**2/4 + 26*d - 3 = 0 for d.
-3, 1/4, 2/7, 1, 2
Factor 125*t**4 + 27400*t**3 + 32745*t**2 + 9810*t.
5*t*(t + 218)*(5*t + 3)**2
Solve l**2/3 + 32*l/3 = 0.
-32, 0
Suppose -4*w**4/5 - 249*w**3/5 + 142*w**2 - 327*w/5 - 26 = 0. Calculate w.
-65, -1/4, 1, 2
Find g such that 5*g**2 - 45*g - 2000 = 0.
-16, 25
Factor 2*h**5 - 100*h**4 + 1146*h**3 + 2600*h**2 + 1352*h.
2*h*(h - 26)**2*(h + 1)**2
Suppose -2*f**2/3 + 932*f - 5584/3 = 0. Calculate f.
2, 1396
Solve -3*n**5/2 + 13*n**4/2 - 31*n**3/6 - 9*n**2/2 + 20*n/3 - 2 = 0.
-1, 2/3, 1, 3
Determine g, given that -g**4 - 4*g**3 + 19*g**2 - 14*g = 0.
-7, 0, 1, 2
Let -k**3 + 29*k**2 - 55*k + 27 = 0. Calculate k.
1, 27
Factor 3*a**4 + 207*a**3 + 204*a**2.
3*a**2*(a + 1)*(a + 68)
Factor -4*z**2 - 4368*z - 1192464.
-4*(z + 546)**2
Solve 3*w**2/5 + 6*w - 117/5 = 0.
-13, 3
Factor -3*o**2 - 126*o.
-3*o*(o + 42)
Factor -v**3 + 153*v**2 + 625*v + 471.
-(v - 157)*(v + 1)*(v + 3)
Factor -2*m**3 - 14*m**2 - 30*m - 18.
-2*(m + 1)*(m + 3)**2
Factor 21*j**2/4 - 159*j/4 + 21.
3*(j - 7)*(7*j - 4)/4
Find z, given that z**2/2 + 4*z + 7/2 = 0.
-7, -1
Let -s**4 + s**3 + 18*s**2 - 52*s + 40 = 0. Calculate s.
-5, 2
Find r, given that -r**4 + 1622*r**3 - 4860*r**2 + 4858*r - 1619 = 0.
1, 1619
Factor -468*q**3 - 2800*q**2 - 4164*q + 72.
-4*(q + 3)**2*(117*q - 2)
What is d in d**2 - 82*d + 1681 = 0?
41
Factor f**3 - 556*f**2 + 77284*f.
f*(f - 278)**2
Suppose -2*b**5 - 1984*b**4 + 3976*b**3 - 4*b**2 - 3974*b + 1988 = 0. Calculate b.
-994, -1, 1
Factor 4*y**3 + 152*y**2 + 556*y + 408.
4*(y + 1)*(y + 3)*(y + 34)
Factor -u**2 - 31*u.
-u*(u + 31)
Factor c**5 + 13*c**4 + 33*c**3 + 31*c**2 + 10*c.
c*(c + 1)**3*(c + 10)
Factor -7*l**3/6 - 20*l**2/3 + 61*l/6 - 7/3.
-(l - 1)*(l + 7)*(7*l - 2)/6
Find t, given that 5*t**2 + 5080*t + 1290320 = 0.
-508
Find i such that 10*i**5 - 6*i**4 - 14*i**3 + 6*i**2 + 4*i = 0.
-1, -2/5, 0, 1
Factor -3*m**2/2 + 75*m - 1875/2.
-3*(m - 25)**2/2
Factor 5*h**4 - 55*h**3 - 1605*h**2 - 945*h + 48600.
5*(h - 24)*(h - 5)*(h + 9)**2
Factor -5*x**3/3 - 1340*x**2 - 2675*x - 4010/3.
-5*(x + 1)**2*(x + 802)/3
Factor -2*x**2/9 + 428*x/9 - 22898/9.
-2*(x - 107)**2/9
Let 5*w**4/2 + 96*w**3 + 901*w**2/2 + 165*w = 0. What is w?
-33, -5, -2/5, 0
Find y, given that y**2/3 - 17*y/9 + 10/9 = 0.
2/3, 5
Solve -2*t**5/13 + 4*t**4/13 + 12*t**3/13 - 16*t**2/13 - 10*t/13 + 12/13 = 0 for t.
-2, -1, 1, 3
What is c in -2*c**2/7 - 80*c/7 - 78/7 = 0?
-39, -1
Factor 4*a**3 - 27924*a**2 + 64979148*a - 50402159132.
4*(a - 2327)**3
Factor -b**2/10 + 369*b/5 - 136161/10.
-(b - 369)**2/10
Determine o so that -2*o**4/3 - 326*o**3/3 - 3102*o**2 - 97042*o/3 - 346060/3 = 0.
-130, -11
Factor 2*r**2 - 18.
2*(r - 3)*(r + 3)
Factor x**3 - 10*x**2 + 23*x - 14.
(x - 7)*(x - 2)*(x - 1)
Find m, given that 4*m**4 + 32*m**3 + 52*m**2 + 24*m = 0.
-6, -1, 0
Factor 4*c**4 - 28*c**3 + 24*c**2 + 112*c - 160.
4*(c - 5)*(c - 2)**2*(c + 2)
Suppose 5*k**2 + 18480*k + 17075520 = 0. Calculate k.
-1848
Factor -5*w**4 + 415*w**3 - 3105*w**2 + 7965*w - 6750.
-5*(w - 75)*(w - 3)**2*(w - 2)
Let -r**4/2 + 7*r**3 - 117*r**2/8 - 161*r/8 - 11/2 = 0. Calculate r.
-1/2, 4, 11
What is k in -k**5 + 17*k**4/4 - 17*k**2/4 + k = 0?
-1, 0, 1/4, 1, 4
Factor 4*a**3 - 56*a**2 + 228*a - 288.
4*(a - 8)*(a - 3)**2
Determine v so that -4*v**2 - 168*v + 172 = 0.
-43, 1
Find r, given that 4*r**2 - 36*r + 81 = 0.
9/2
Let 2*h**4/7 + 2*h**3/7 - 6*h**2/7 - 2*h/7 + 4/7 = 0. What is h?
-2, -1, 1
Factor -p**3 + 20*p**2 + 147*p + 234.
-(p - 26)*(p + 3)**2
Factor w**2/4 + 401*w/2 + 160801/4.
(w + 401)**2/4
Factor k**2/2 - 51*k/2 + 49.
(k - 49)*(k - 2)/2
Find j, given that 38*j**3/3 + 14*j**2 + 4*j/3 = 0.
-1, -2/19, 0
Determine b, given that 2*b**2 + 82*b + 156 