04/7 = 0.
-32, 11
Find l, given that 4*l**4/3 + 32*l**3/3 + 28*l**2 + 24*l = 0.
-3, -2, 0
Factor 5*y**5/6 - 25*y**4/6 + 35*y**3/6 - 5*y**2/2.
5*y**2*(y - 3)*(y - 1)**2/6
Solve g**2 + 937*g + 936 = 0 for g.
-936, -1
Factor -36*a**2 - 16*a.
-4*a*(9*a + 4)
Find c, given that -2*c**4/5 + 6*c**3/5 + 2*c**2/5 - 6*c/5 = 0.
-1, 0, 1, 3
Determine h, given that -15*h**5/7 + 34*h**4/7 + 3*h**3 - 68*h**2/7 + 12*h/7 + 16/7 = 0.
-4/3, -2/5, 1, 2
Factor 3*k**4 - 39*k**3 + 36*k**2.
3*k**2*(k - 12)*(k - 1)
Solve 28*x**4 - 720*x**3 + 1612*x**2 + 3096*x + 736 = 0.
-1, -2/7, 4, 23
Factor -2*t**3/5 - 2986*t**2/5 - 1116016*t/5 - 1113032/5.
-2*(t + 1)*(t + 746)**2/5
Factor -4*x**3 + 25*x**2 + 282*x - 72.
-(x - 12)*(x + 6)*(4*x - 1)
Factor 3*c**3 - 6*c**2.
3*c**2*(c - 2)
Factor -12*a**3 + 452*a**2 - 1136*a + 560.
-4*(a - 35)*(a - 2)*(3*a - 2)
Factor 3*o**3 + 12*o**2 - 12*o - 48.
3*(o - 2)*(o + 2)*(o + 4)
Suppose 15*w**3 - 85*w**2 + 140*w - 60 = 0. What is w?
2/3, 2, 3
Let 2*b**5/3 - 110*b**4 - 4*b**3/3 + 220*b**2 + 2*b/3 - 110 = 0. Calculate b.
-1, 1, 165
Factor -4*r**3/9 + 1760*r**2/9 - 1756*r/9.
-4*r*(r - 439)*(r - 1)/9
Factor 134*r**3 + 537*r**2 + 540*r + 4.
(r + 2)**2*(134*r + 1)
Factor 36*a**5 + 3792*a**4 - 2540*a**3 + 424*a**2.
4*a**2*(a + 106)*(3*a - 1)**2
Let -8*m**4/5 + 42*m**3/5 - 2*m**2/5 - 42*m/5 + 2 = 0. Calculate m.
-1, 1/4, 1, 5
Factor 3*s**2/4 + 2148*s + 1537968.
3*(s + 1432)**2/4
Determine c so that 4*c**4/3 - 205*c**3/3 + 97*c**2/6 + 127*c/3 + 17/2 = 0.
-1/2, -1/4, 1, 51
Factor -2*c**2 - 100*c + 432.
-2*(c - 4)*(c + 54)
Factor -2*s**3/3 + 4*s**2 + 10*s + 16/3.
-2*(s - 8)*(s + 1)**2/3
Find r such that 2*r**2/3 - 50*r/3 - 232/3 = 0.
-4, 29
What is u in -5*u**3 - 135*u**2 - 1080*u - 2160 = 0?
-12, -3
Determine u, given that 5*u**3/4 + 21*u**2/4 + 5*u/2 - 6 = 0.
-3, -2, 4/5
Determine t so that 21296*t**3/19 + 8712*t**2/19 + 1188*t/19 + 54/19 = 0.
-3/22
Factor -4*u**2 + 88*u + 192.
-4*(u - 24)*(u + 2)
Factor -15*x**3 + 774*x**2 - 9828*x - 4056.
-3*(x - 26)**2*(5*x + 2)
Factor -3*g**2 + 258*g - 5547.
-3*(g - 43)**2
Determine z, given that -5*z**4 - 35*z**3 + 140*z**2 - 100*z = 0.
-10, 0, 1, 2
Factor 5*y**2 + 135*y - 800.
5*(y - 5)*(y + 32)
Factor 3*b**4/5 + 7*b**3 + 52*b**2/5 + 4*b.
b*(b + 1)*(b + 10)*(3*b + 2)/5
Solve -3*d**2/5 - 2556*d/5 + 2559/5 = 0 for d.
-853, 1
Factor -s**4/3 + 7*s**3/3 + 82*s**2/3 + 212*s/3 + 56.
-(s - 14)*(s + 2)**2*(s + 3)/3
Factor -5*p**4 - 30*p**3 + 435*p**2 + 2480*p - 2880.
-5*(p - 9)*(p - 1)*(p + 8)**2
Suppose 8*i**5/5 + 54*i**4/5 + 74*i**3/5 - 78*i**2/5 - 82*i/5 + 24/5 = 0. What is i?
-4, -3, -1, 1/4, 1
Factor -2*v**2 - 18*v - 40.
-2*(v + 4)*(v + 5)
Factor -4*l**4/3 + 20*l**3/3 - 8*l**2/3 - 32*l/3.
-4*l*(l - 4)*(l - 2)*(l + 1)/3
Find q such that q**4/3 - 586*q**3/3 + 28811*q**2 - 171112*q/3 + 85264/3 = 0.
1, 292
Factor -3*p**2/2 + 29*p/2 - 9.
-(p - 9)*(3*p - 2)/2
Factor -p**5/10 - p**4/5 + 11*p**3/10 + 6*p**2/5 - 18*p/5.
-p*(p - 2)**2*(p + 3)**2/10
Solve 10*h**5/3 - 48*h**4 - 674*h**3/3 + 144*h**2 + 664*h/3 - 96 = 0 for h.
-4, -1, 2/5, 1, 18
Solve 3*r**3 - 33*r**2 + 96*r - 84 = 0 for r.
2, 7
Factor -o**2/2 + 3*o/2 + 5.
-(o - 5)*(o + 2)/2
Determine s so that 4*s**4 - 16*s**3 = 0.
0, 4
Factor -10*m**3/11 + 156*m**2/11 + 64*m/11.
-2*m*(m - 16)*(5*m + 2)/11
Solve -25*u**3 - 315*u**2 + 129*u - 13 = 0 for u.
-13, 1/5
Solve -4*c**4 - 256*c**3 - 5856*c**2 - 56320*c - 193600 = 0 for c.
-22, -10
Find c, given that -4*c**2 + 60*c = 0.
0, 15
Determine x, given that 2*x**5 - 9*x**4/2 - x**3 + 9*x**2/2 - x = 0.
-1, 0, 1/4, 1, 2
Let -4*k**5/5 + 8*k**4/5 + 23*k**3/5 - 27*k**2/5 - 27*k/5 + 27/5 = 0. What is k?
-3/2, 1, 3
Factor 12*z**3/5 - 4*z**2 - 8*z/5.
4*z*(z - 2)*(3*z + 1)/5
Factor -5*y**2 + 153*y + 62.
-(y - 31)*(5*y + 2)
Suppose 7*s**4 + 37*s**3 + 66*s**2 + 44*s + 8 = 0. What is s?
-2, -1, -2/7
Let 2*q**2 + 17880*q + 39961800 = 0. Calculate q.
-4470
Suppose -28*h**3 + 16932*h**2 + 21808*h + 4848 = 0. Calculate h.
-1, -2/7, 606
Factor 128*j**3 - 2800*j**2 - 703*j/2 - 11.
(j - 22)*(16*j + 1)**2/2
Factor -2*u**4 - 388*u**3 - 20306*u**2 - 144336*u - 276768.
-2*(u + 4)**2*(u + 93)**2
Suppose -5*g**3 - 25*g**2 - 10*g + 40 = 0. What is g?
-4, -2, 1
Factor p**2 - 18*p + 17.
(p - 17)*(p - 1)
Find g, given that 28*g**5 - 135*g**4 - 392*g**3 - 246*g**2 + 4*g + 21 = 0.
-1, -3/7, 1/4, 7
Factor -5*x**3 - 35*x**2 + 130*x + 360.
-5*(x - 4)*(x + 2)*(x + 9)
Solve 2*b**2/5 - 222*b/5 + 648/5 = 0 for b.
3, 108
Factor 5*x**5 - 15*x**4 + 5*x**3 + 15*x**2 - 10*x.
5*x*(x - 2)*(x - 1)**2*(x + 1)
Suppose -4*z**5 + 540*z**3 + 1080*z**2 - 19440*z - 69984 = 0. What is z?
-6, 9
Factor -5*w**2 - 525*w - 520.
-5*(w + 1)*(w + 104)
Factor 3*l**4/7 + 99*l**3/7 + 690*l**2/7.
3*l**2*(l + 10)*(l + 23)/7
Factor l**5/2 - 2*l**4 - l**3/2 + 2*l**2.
l**2*(l - 4)*(l - 1)*(l + 1)/2
Factor -3*v**2/2 - 573*v - 109443/2.
-3*(v + 191)**2/2
Solve -5*k**2 + 20*k - 15 = 0 for k.
1, 3
Factor a**3/5 - a**2/5 - 37*a/5 - 7.
(a - 7)*(a + 1)*(a + 5)/5
Suppose z**3/2 + 9*z**2 - 39*z/2 + 10 = 0. What is z?
-20, 1
Factor -i**3/2 - 15*i**2/2 + 8*i.
-i*(i - 1)*(i + 16)/2
Suppose -n**5/4 - 3*n**4/4 + n**3 + 4*n**2 - 4 = 0. What is n?
-2, 1, 2
Factor -3*n**4/2 + 3*n**3 - 3*n**2/2.
-3*n**2*(n - 1)**2/2
Determine h so that -h**2/3 - 26*h + 168 = 0.
-84, 6
Let -5*q**5 + 40*q**4 - 120*q**3 + 160*q**2 - 80*q = 0. What is q?
0, 2
Find c such that 11*c**4/2 - c**3 - 11*c**2/2 + c = 0.
-1, 0, 2/11, 1
Determine v so that -2*v**4/13 - 28*v**3/13 - 70*v**2/13 - 44*v/13 = 0.
-11, -2, -1, 0
Factor 4*h**2 + 1156*h - 1160.
4*(h - 1)*(h + 290)
Determine p so that -12*p**2/5 + 159*p/5 - 39/5 = 0.
1/4, 13
Factor -24*y**3 + 261*y**2 - 207*y - 30.
-3*(y - 10)*(y - 1)*(8*y + 1)
Factor v**3/6 - 55*v**2/6 - 116*v/3 - 118/3.
(v - 59)*(v + 2)**2/6
Factor -2*v**4 + 48*v**3 - 32*v**2 - 3072*v - 8192.
-2*(v - 16)**2*(v + 4)**2
Suppose -5*y**3 - 1350*y**2 - 1345*y = 0. Calculate y.
-269, -1, 0
Factor 4*o**5 + 12*o**4 - 8*o**3 - 48*o**2 - 32*o.
4*o*(o - 2)*(o + 1)*(o + 2)**2
Find y such that -14*y**5 - 38*y**4 - 2*y**3 + 46*y**2 + 16*y - 8 = 0.
-2, -1, 2/7, 1
Factor 4*c**3/3 + 92*c**2/3 - 196*c/3 + 100/3.
4*(c - 1)**2*(c + 25)/3
Find v, given that -14*v**4/3 - 52*v**3/3 + 16*v**2/3 = 0.
-4, 0, 2/7
Let -3*c**4 - 354*c**3 - 699*c**2 - 348*c = 0. What is c?
-116, -1, 0
Determine k, given that 2*k**2 - 44*k + 80 = 0.
2, 20
Find f such that 3*f**3 - 3762*f**2 + 1572516*f - 219103896 = 0.
418
Factor m**3/3 - 22*m**2/3 + 7*m.
m*(m - 21)*(m - 1)/3
Suppose 3*h**5 - 11*h**4 - 7*h**3 + 11*h**2 + 4*h = 0. What is h?
-1, -1/3, 0, 1, 4
Solve 3*n**2 + 42*n + 120 = 0 for n.
-10, -4
Factor 4*r**5 + 208*r**4 - 1592*r**3 + 3488*r**2 - 3052*r + 944.
4*(r - 4)*(r - 1)**3*(r + 59)
Factor -5*f**3 - 50*f**2 - 160*f - 160.
-5*(f + 2)*(f + 4)**2
Factor -g**2/2 - 27*g - 729/2.
-(g + 27)**2/2
Let -4*q**2/3 - 604*q + 1816/3 = 0. Calculate q.
-454, 1
Factor 2*q**3/7 - 26*q**2/7 - 4*q.
2*q*(q - 14)*(q + 1)/7
Factor y**2 - 141*y.
y*(y - 141)
Suppose 6*q**5 - 9*q**4 - 72*q**3 + 69*q**2 + 126*q = 0. What is q?
-3, -1, 0, 2, 7/2
Find f, given that -2*f**2/19 + 3842*f/19 - 404 = 0.
2, 1919
Factor t**2 + 14*t + 13.
(t + 1)*(t + 13)
Factor 3*d**2/8 + 219*d/8.
3*d*(d + 73)/8
Let -3*h**4 + 51*h**3 - 120*h**2 - 900*h = 0. What is h?
-3, 0, 10
What is l in 3*l**3 + 2025*l**2 - 8136*l + 8148 = 0?
-679, 2
Factor 2*d**4/13 - 16*d**3/13 + 14*d**2/13.
2*d**2*(d - 7)*(d - 1)/13
Determine q, given that -2*q**3/11 - 26*q**2/11 + 18*q/11 + 810/11 = 0.
-9, 5
Solve -35*r**4 + 955*r**3 - 235*r**2 - 955*r + 270 = 0.
-1, 2/7, 1, 27
Factor -2*s**2/7 + 216*s/7 - 5832/7.
-2*(s - 54)**2/7
Factor -2*z**2/3 + 16*z - 96.
-2*(z - 12)**2/3
Factor -2*g**4 + 100*g**3 - 824*g**2 + 816*g + 5760.
-2*(g - 40)*(g - 6)**2*(g + 2)
Find f, given that 5*f**3 - 110*f**2 + 205*f - 100 = 0.
1, 20
What is q in -8*q**4 + 228*q**3 + 360*q**2 + 4*q - 120 = 0?
-1, 1/2, 30
What is x in -1179*x**2 - 4719*x - 12 = 0?
-4, -1/393
Solve 4*u**2/5 - 112*u - 564/5 = 0 for u.
-1, 141
Factor -2*g**4 + 23*g**3 + 73*g**2 - 42*g.
-g*(g - 14)*(g + 3)*(2*g - 1)
Suppose 12*k**5 + 44*k**4 + 36*k**3 - 28*k**2 - 48*k - 16 = 0. Calculate k.
-2, -1, -2/3, 1
Determine y, given that 4*y**4 + 320*y**3 - 984*y**2 + 992*y - 332 = 0.
-83, 1
Factor -b**3 + 4*b**2 + 25*b - 28.
-(b - 7)*(b - 1)*(b + 4)
Factor -4*v**2 + 5160*v - 1664100.
