actor 3*y**2 - 15*y - 252.
3*(y - 12)*(y + 7)
Suppose -64*x**2/7 + 20256*x/7 - 1602756/7 = 0. Calculate x.
633/4
Factor 5*i**3 - 45*i**2 + 30*i + 80.
5*(i - 8)*(i - 2)*(i + 1)
Factor -2*p**5/7 + 10*p**4/7 - 12*p**3/7.
-2*p**3*(p - 3)*(p - 2)/7
Factor -2*k**2/3 - 1168*k/3 - 170528/3.
-2*(k + 292)**2/3
Factor -r**3 - 18*r**2 - 72*r.
-r*(r + 6)*(r + 12)
Let 8*u**5/3 + 368*u**4/3 + 350*u**3/3 - 152*u**2 - 90*u = 0. Calculate u.
-45, -3/2, -1/2, 0, 1
Factor 2*d**4/13 + 30*d**3/13 + 88*d**2/13.
2*d**2*(d + 4)*(d + 11)/13
Solve 2*g**3/9 - 22*g**2/9 + 20*g/9 = 0 for g.
0, 1, 10
Suppose l**5/3 + 65*l**4 - 266*l**3 - 386*l**2/3 + 799*l + 597 = 0. Calculate l.
-199, -1, 3
Solve 8*j**5 + 68*j**4 + 180*j**3 + 108*j**2 - 108*j = 0 for j.
-3, 0, 1/2
Let -26*i**3 + 48*i**2 + 86*i + 12 = 0. Calculate i.
-1, -2/13, 3
Factor -4*v**2 - 264*v + 1420.
-4*(v - 5)*(v + 71)
Suppose 4*g**4 - 280*g**3 = 0. Calculate g.
0, 70
Factor 5*q**4 + 50*q**3 + 165*q**2 + 200*q + 80.
5*(q + 1)**2*(q + 4)**2
Solve g**5/4 - 13*g**4 + 196*g**3 - 323*g**2/2 - 49457*g/4 + 48013/2 = 0 for g.
-7, 2, 19
Determine o, given that 3*o**4 - 168*o**3 + 2049*o**2 + 2220*o = 0.
-1, 0, 20, 37
Suppose 2*r**2/7 - 26*r/7 + 12 = 0. What is r?
6, 7
Let -2*s**3 + 5460*s**2 - 4968600*s + 1507142000 = 0. What is s?
910
Let -5*z**3 + 95*z**2 + 440*z + 460 = 0. Calculate z.
-2, 23
What is g in g**3/4 - 2227*g**2/2 - g/4 + 2227/2 = 0?
-1, 1, 4454
Determine x, given that -x**5/4 + x**4/2 + x**3 - x**2/2 - 3*x/4 = 0.
-1, 0, 1, 3
Suppose -3*c**3 + 35*c**2 - 21*c - 11 = 0. What is c?
-1/3, 1, 11
Determine p, given that -2*p**2/7 + 284*p/7 - 10082/7 = 0.
71
Factor -f**4/7 + 54*f**3/7 + 640*f**2/7.
-f**2*(f - 64)*(f + 10)/7
Let 76*t**4/7 - 64*t**3/7 - 12*t**2/7 = 0. Calculate t.
-3/19, 0, 1
Factor -3*j**2/5 - 1548*j/5 - 3084/5.
-3*(j + 2)*(j + 514)/5
Factor 2*a**2/17 + 2076*a/17 - 4160/17.
2*(a - 2)*(a + 1040)/17
Factor 4*z**2 + 12160*z + 24304.
4*(z + 2)*(z + 3038)
Determine t, given that t**2/3 - 2*t/3 - 96 = 0.
-16, 18
Determine c, given that -4*c**3/3 - 832*c**2/3 + 836*c/3 = 0.
-209, 0, 1
Factor -3*f**2 - 1032*f - 88752.
-3*(f + 172)**2
Suppose -l**4 - 49*l**3 - 816*l**2 - 4864*l - 4096 = 0. What is l?
-16, -1
Determine q, given that 7056*q**4 - 27888*q**3 + 26884*q**2 + 1328*q + 16 = 0.
-1/42, 2
Factor -2*t**5/5 + 8*t**4/5 - 2*t**3 + 4*t**2/5.
-2*t**2*(t - 2)*(t - 1)**2/5
Factor -3*h**2 + 54*h + 432.
-3*(h - 24)*(h + 6)
Determine c so that 4*c**4 - 16*c**3 - 12*c**2 + 40*c + 32 = 0.
-1, 2, 4
Factor -2*r**4/17 - 3276*r**3/17 - 1341522*r**2/17.
-2*r**2*(r + 819)**2/17
Determine k, given that -3*k**4 - 36*k**3 + 177*k**2 - 234*k + 96 = 0.
-16, 1, 2
Factor 5*n**3 - 20*n**2 - 25*n.
5*n*(n - 5)*(n + 1)
Factor 5*v**4 - 40*v**3 + 10*v**2 + 400*v - 375.
5*(v - 5)**2*(v - 1)*(v + 3)
Suppose 9*k**5/4 - 105*k**4/4 - 291*k**3/2 - 171*k**2 + 42*k + 96 = 0. What is k?
-2, -1, 2/3, 16
Find s, given that 3*s**4 - 6444*s**3 + 5190642*s**2 - 1858249836*s + 249470040483 = 0.
537
Factor -p**2 + 104*p + 212.
-(p - 106)*(p + 2)
Suppose 2*p**3/3 + 14*p**2/3 - 98*p/3 - 110/3 = 0. What is p?
-11, -1, 5
Factor -28*a**4/17 + 138*a**3/17 - 156*a**2/17 - 8*a + 240/17.
-2*(a - 2)**3*(14*a + 15)/17
Factor -28*q**2/9 - 2708*q/9 + 776/9.
-4*(q + 97)*(7*q - 2)/9
Let n**2/2 - 365*n/2 + 1428 = 0. What is n?
8, 357
Factor -m**2/5 + 89*m - 444/5.
-(m - 444)*(m - 1)/5
Suppose -2*f**5/9 - 8*f**4/9 + 4*f**3/9 + 16*f**2/9 - 2*f/9 - 8/9 = 0. What is f?
-4, -1, 1
Factor -c**2/8 - 39*c.
-c*(c + 312)/8
Solve -35*b**2 + 95*b + 30 = 0 for b.
-2/7, 3
Let x**4/4 - 5*x**3/4 + 7*x**2/4 - 3*x/4 = 0. Calculate x.
0, 1, 3
What is y in 2*y**4/7 - 2120*y**3/7 + 4232*y**2/7 = 0?
0, 2, 1058
Solve 10*w**3/7 + 552*w**2/7 + 1056*w - 896 = 0 for w.
-28, 4/5
Determine r so that -r**4 - 248*r**3 + r**2 + 248*r = 0.
-248, -1, 0, 1
Find i such that -i**2/6 - 141*i/2 = 0.
-423, 0
Suppose -5*p**2 - 245*p - 2220 = 0. What is p?
-37, -12
Let -3*d**4 - 18*d**3 + 9*d**2 + 48*d - 36 = 0. What is d?
-6, -2, 1
Let -2*u**3/13 - 48*u**2/13 - 178*u/13 + 228/13 = 0. What is u?
-19, -6, 1
Suppose -5*t**4 - 90*t**3 - 305*t**2 - 360*t - 140 = 0. What is t?
-14, -2, -1
Let -3*f**3/7 + 99*f**2/7 + 318*f/7 + 216/7 = 0. Calculate f.
-2, -1, 36
Factor -o**2/4 + 37*o/4 + 19/2.
-(o - 38)*(o + 1)/4
Let 2*m**3 - 76*m**2 + 560*m = 0. What is m?
0, 10, 28
What is x in x**4/3 + 11*x**3/3 + 31*x**2/3 + 7*x = 0?
-7, -3, -1, 0
Suppose 4*k**3 + 1280*k**2 - 5172*k + 3888 = 0. What is k?
-324, 1, 3
Determine j so that -2*j**5/9 - 100*j**4/9 - 32*j**3 - 284*j**2/9 - 94*j/9 = 0.
-47, -1, 0
Let 2*x**2/3 - 178*x/3 + 680/3 = 0. What is x?
4, 85
Factor x**2 - 91*x + 178.
(x - 89)*(x - 2)
Factor m**3/3 - 11*m**2/3 - 4*m/3 + 44/3.
(m - 11)*(m - 2)*(m + 2)/3
Factor 2*r**3 - 222*r**2 + 216*r + 440.
2*(r - 110)*(r - 2)*(r + 1)
Factor -5*l**3/2 + 20*l**2 + 375*l/2 + 315.
-5*(l - 14)*(l + 3)**2/2
Factor 5*x**3/2 - 150*x**2 - 1265*x/2 - 480.
5*(x - 64)*(x + 1)*(x + 3)/2
Solve 5*v**4/2 - 15*v**3/2 - 25*v**2 = 0 for v.
-2, 0, 5
Let 2*b**3/7 + 2046*b**2/7 + 697686*b/7 + 79303642/7 = 0. Calculate b.
-341
Factor c**3/5 + 42*c**2/5 + 113*c/5 - 156/5.
(c - 1)*(c + 4)*(c + 39)/5
Find a such that -5*a**3 + 5*a**2 + 110*a - 200 = 0.
-5, 2, 4
Determine l, given that 3*l**4 + 8682*l**3/5 + 1674468*l**2/5 + 107500614*l/5 - 21567171/5 = 0.
-193, 1/5
Let 2*t**5/3 - 160*t**4/3 + 3356*t**3/3 - 2080*t**2 + 1014*t = 0. What is t?
0, 1, 39
Factor 5*l**3 - 10*l**2 - 15*l.
5*l*(l - 3)*(l + 1)
Factor 3*v**3/5 - 46*v**2/5 + 93*v/5 - 26/5.
(v - 13)*(v - 2)*(3*v - 1)/5
Factor -p**4 - 11*p**3 - 3*p**2 + 203*p + 196.
-(p - 4)*(p + 1)*(p + 7)**2
Determine d, given that -2*d**3/7 + 608*d**2/7 + 1222*d/7 + 612/7 = 0.
-1, 306
Factor -2*k**3/9 - 94*k**2/9 + 194*k/9 - 98/9.
-2*(k - 1)**2*(k + 49)/9
Factor -4*b**5 - 335*b**4 - 4356*b**3 - 20090*b**2 - 29200*b + 8625.
-(b + 5)**3*(b + 69)*(4*b - 1)
Determine x so that -15*x**3 - 170*x**2 + 125*x + 60 = 0.
-12, -1/3, 1
Determine c so that -2*c**5/5 - 4*c**4/5 + 14*c**3/5 + 16*c**2/5 - 24*c/5 = 0.
-3, -2, 0, 1, 2
Determine y, given that 1372*y**5 - 80752*y**4 + 1222396*y**3 - 1008536*y**2 + 284432*y - 26912 = 0.
2/7, 29
Factor 2*q**2/19 + 18*q/19.
2*q*(q + 9)/19
Factor -8*g**4 + 6*g**3 + 578*g**2 + 144*g.
-2*g*(g - 9)*(g + 8)*(4*g + 1)
Factor 2*t**3/5 - 34*t**2/5 - 98*t - 270.
2*(t - 27)*(t + 5)**2/5
Let -2*s**5/9 - 2*s**4/3 + 22*s**3/3 + 70*s**2/9 = 0. Calculate s.
-7, -1, 0, 5
Suppose 15*k**5/2 - 86*k**4 - 117*k**3/2 + 123*k**2 + 40*k - 48 = 0. Calculate k.
-1, 2/3, 4/5, 12
Factor 3*m**2/4 + 69*m/4 - 117/2.
3*(m - 3)*(m + 26)/4
Factor -4*q**2 - 28*q - 24.
-4*(q + 1)*(q + 6)
Factor 2*y**4 - 24*y**3 + 42*y**2 - 20*y.
2*y*(y - 10)*(y - 1)**2
Factor -2*o**3/9 - 10*o**2/3 + 152*o/9.
-2*o*(o - 4)*(o + 19)/9
Factor 49*z**4/4 - 5061*z**3/2 + 525613*z**2/4 - 74469*z + 10609.
(z - 103)**2*(7*z - 2)**2/4
Factor 28*m**5/3 - 104*m**4/3 + 80*m**3/3 + 32*m**2/3.
4*m**2*(m - 2)**2*(7*m + 2)/3
Factor 2*o**3 + 8*o**2 - 10*o.
2*o*(o - 1)*(o + 5)
Factor -4*u**3 + 668*u**2 - 2624*u + 2608.
-4*(u - 163)*(u - 2)**2
Factor -11664*l**3/5 - 1944*l**2/5 - 108*l/5 - 2/5.
-2*(18*l + 1)**3/5
Factor -2*h**4/15 - 2*h**3/3 - 8*h**2/15.
-2*h**2*(h + 1)*(h + 4)/15
Suppose 36*j**5/7 - 228*j**4/7 - 195*j**3/7 + 180*j**2/7 + 69*j/7 - 6 = 0. Calculate j.
-1, -2/3, 1/2, 7
Find w, given that w**5 - 271*w**4 + 18494*w**3 - 17954*w**2 - 18495*w + 18225 = 0.
-1, 1, 135
Factor -16*r**3/3 + 344*r**2 - 171*r + 64/3.
-(r - 64)*(4*r - 1)**2/3
Solve -3*a**3/5 - 21*a**2 + 600*a - 3300 = 0.
-55, 10
Let 4*z**4 + 36*z**3 + 56*z**2 = 0. Calculate z.
-7, -2, 0
Factor 2*h**2 + 1024*h + 131072.
2*(h + 256)**2
Factor v**2/5 + 94*v/5 + 93/5.
(v + 1)*(v + 93)/5
Factor -3*v**3 + 72*v**2 - 63*v - 138.
-3*(v - 23)*(v - 2)*(v + 1)
Find n, given that n**2/5 + 68*n = 0.
-340, 0
Solve -3*y**4 + 111*y**3 - 744*y**2 + 1392*y = 0 for y.
0, 4, 29
Let -6*m**4/13 - 22*m**3/13 + 2*m**2/13 + 38*m/13 - 12/13 = 0. Calculate m.
-3, -2, 1/3, 1
Solve 2*h**2/5 + 14*h/5 - 16/5 = 0.
-8, 1
Find v such that -231*v**5 + 521*v**4 + 115*v**3 - 525*v**2 + 116*v + 4 = 0.
-1, -1/33, 2/7, 1, 2
Find a such that -3*a**2 - 72*a + 540 = 0.
-30, 6
Factor -2*j**2 + 66*j + 468.
-2*(j - 39)*(j + 6)
Solve h**4/6 - 5*h**3 - 6*h**2 + 79*h/3 - 31/2 = 0.
-3, 1, 31
Suppose 3*r**2/7 - 51810*r/7 + 223689675/7