, 20
Factor -4*o**2/5 + 12*o - 56/5.
-4*(o - 14)*(o - 1)/5
Factor -2*b**2/3 - 32240*b/3 - 129927200/3.
-2*(b + 8060)**2/3
Suppose o**4/2 - 7*o**3/4 - 41*o**2/4 + 13*o + 21 = 0. Calculate o.
-7/2, -1, 2, 6
Let 21*g**4/4 - 51*g**3/4 - 225*g**2/4 - 213*g/4 - 15 = 0. Calculate g.
-1, -4/7, 5
Find d, given that d**5/6 - d**4 - 4*d**3/3 + 16*d**2 - 64*d/3 = 0.
-4, 0, 2, 4
Solve -5*d**2 + 6590*d - 2171405 = 0 for d.
659
Let 3*a**5/4 - 15*a**4/2 + 18*a**3 - 33*a**2/2 + 21*a/4 = 0. What is a?
0, 1, 7
Factor 15*w**3 - 1585*w**2 + 7110*w - 4040.
5*(w - 101)*(w - 4)*(3*w - 2)
Determine j so that 2*j**2/5 + 234*j/5 - 144 = 0.
-120, 3
Suppose -2*y**4 - 12*y**3 - 26*y**2 - 24*y - 8 = 0. Calculate y.
-2, -1
Suppose -2*z**5 + 38*z**4 - 146*z**3 + 66*z**2 + 252*z = 0. Calculate z.
-1, 0, 3, 14
Factor -h**4/3 - 275*h**3/3 - 6256*h**2 + 6348*h.
-h*(h - 1)*(h + 138)**2/3
Factor -9*z**2/4 - 15*z/2 - 9/4.
-3*(z + 3)*(3*z + 1)/4
Solve -u**2/5 - 401*u/5 + 402/5 = 0.
-402, 1
Let 5*l**4 + 5*l**3 - 10*l**2 = 0. What is l?
-2, 0, 1
Factor 3*j**4/8 + 3*j**3 + 15*j**2/8 - 57*j/4 + 9.
3*(j - 1)**2*(j + 4)*(j + 6)/8
Let -3*u**2 + 270*u + 273 = 0. Calculate u.
-1, 91
Factor -n**4/5 + 774*n**3/5 - 149769*n**2/5.
-n**2*(n - 387)**2/5
Determine c, given that c**2 - 122*c + 3721 = 0.
61
Factor -26*k**3/3 + 67*k**2/3 - 56*k/3 + 5.
-(k - 1)**2*(26*k - 15)/3
Suppose -l**3 + 13*l**2 + 4*l - 52 = 0. Calculate l.
-2, 2, 13
Factor 3*o**3 - 30*o**2 + 51*o - 24.
3*(o - 8)*(o - 1)**2
Determine t so that -9*t**5/2 + 15*t**4 + 9*t**3/2 - 57*t**2 + 54*t - 12 = 0.
-2, 1/3, 1, 2
Factor z**4 - 5*z**3 - 3*z**2 + 13*z + 10.
(z - 5)*(z - 2)*(z + 1)**2
Factor 4*v**2 + 64*v - 144.
4*(v - 2)*(v + 18)
Solve 28*s**5 - 48*s**4 + 88*s**3/7 + 48*s**2/7 + 4*s/7 = 0 for s.
-1/7, 0, 1
Factor 64*z**2/9 + 404*z/9 + 140/3.
4*(z + 5)*(16*z + 21)/9
Solve -4*b**3 - 132*b**2 + 1684*b - 1548 = 0.
-43, 1, 9
Factor -5*z**2 + 40*z + 420.
-5*(z - 14)*(z + 6)
Factor 245*n**4 - 350*n**3 - 260*n**2 - 40*n.
5*n*(n - 2)*(7*n + 2)**2
Factor -2*v**2 - 268*v - 8978.
-2*(v + 67)**2
Suppose g**3/3 + 9*g**2 + 20*g/3 - 52 = 0. Calculate g.
-26, -3, 2
Solve -t**2/5 + 16/5 = 0 for t.
-4, 4
Factor 4*y**3/9 + 818*y**2/3 - 1228*y/9.
2*y*(y + 614)*(2*y - 1)/9
Factor -d**3/10 - 7*d**2/10 - 7*d/5 - 4/5.
-(d + 1)*(d + 2)*(d + 4)/10
Solve 140*b**3 - 295*b**2 + 30*b = 0 for b.
0, 3/28, 2
Determine d, given that 2*d**2 + 8798*d + 8796 = 0.
-4398, -1
Let 4*q**5 - 8*q**3 + 4*q = 0. What is q?
-1, 0, 1
Factor 9*o**5/7 + 22*o**4/7 + 8*o**3/7 - 18*o**2/7 - 17*o/7 - 4/7.
(o - 1)*(o + 1)**3*(9*o + 4)/7
Factor -4*c**5 - 16*c**4 - 20*c**3 - 8*c**2.
-4*c**2*(c + 1)**2*(c + 2)
Find v, given that -3*v**5 + 6*v**4 + 18*v**3 - 12*v**2 - 39*v - 18 = 0.
-1, 2, 3
Determine v so that v**5/3 - 8*v**4/3 + 13*v**3/3 - 2*v**2 = 0.
0, 1, 6
Suppose -5*i**2 + 19840*i = 0. What is i?
0, 3968
Solve 2*l**5/5 + 26*l**4/5 - 6*l**3 - 26*l**2/5 + 28*l/5 = 0 for l.
-14, -1, 0, 1
Factor -2*d**2 - 220*d - 6050.
-2*(d + 55)**2
Factor -3*x**2 + 42822*x - 152810307.
-3*(x - 7137)**2
Suppose -2*w**3/11 - 1384*w**2/11 + 4166*w/11 - 2780/11 = 0. Calculate w.
-695, 1, 2
Factor -x**5/2 - 7*x**4/2 - 5*x**3 + x**2 + 11*x/2 + 5/2.
-(x - 1)*(x + 1)**3*(x + 5)/2
Solve 4*i**3 - 12*i**2 - 36*i - 20 = 0 for i.
-1, 5
Factor 4*g**4/3 - 720*g**3 + 2156*g**2/3.
4*g**2*(g - 539)*(g - 1)/3
Factor 5*h**2 - 25*h - 30.
5*(h - 6)*(h + 1)
Factor -t**3/6 + 5*t**2 - 71*t/6 - 45.
-(t - 27)*(t - 5)*(t + 2)/6
Find y, given that 2*y**2/7 + 10*y + 68/7 = 0.
-34, -1
Let -g**3/7 - 33*g**2/7 + 144*g/7 - 148/7 = 0. Calculate g.
-37, 2
Let 2*w**3 - 486*w**2 + 1920*w - 1912 = 0. Calculate w.
2, 239
What is g in -g**4/5 - 46*g**3/5 + 119*g**2 - 1796*g/5 + 1596/5 = 0?
-57, 2, 7
Factor -p**3 + 9*p**2 - 15*p + 7.
-(p - 7)*(p - 1)**2
Determine j, given that j**3/2 + 53*j**2/2 - 109*j/2 + 55/2 = 0.
-55, 1
Let -3*f**5/2 + 9*f**4/2 + 30*f**3 - 96*f - 72 = 0. Calculate f.
-2, -1, 2, 6
Factor a**4/5 - 21*a**3/5 - 22*a**2/5.
a**2*(a - 22)*(a + 1)/5
Factor 6*s**4/11 + 78*s**3/11 + 288*s**2/11 + 216*s/11.
6*s*(s + 1)*(s + 6)**2/11
Determine v, given that -2*v**5/5 + 184*v**4/5 - 4586*v**3/5 + 16372*v**2/5 - 19712*v/5 + 7744/5 = 0.
1, 2, 44
Factor -3*j**2 + 33*j - 90.
-3*(j - 6)*(j - 5)
Solve -3*r**2 + 3588*r - 1072812 = 0.
598
Let -i**5/5 - 2*i**4/5 - i**3/5 = 0. What is i?
-1, 0
Factor 2*t**4/9 + 14*t**3/9 - 2*t**2 - 14*t/9 + 16/9.
2*(t - 1)**2*(t + 1)*(t + 8)/9
Find v such that -4*v**4/5 + 6*v**3/5 - 2*v**2/5 = 0.
0, 1/2, 1
Factor -14*v**3 - 472*v**2 - 3910*v + 1156.
-2*(v + 17)**2*(7*v - 2)
Factor 12*u**3 - 69*u**2 + 99*u.
3*u*(u - 3)*(4*u - 11)
Factor 4*v**4 - 60*v**3 + 252*v**2 - 340*v + 144.
4*(v - 9)*(v - 4)*(v - 1)**2
Factor 2*j**5/7 + 178*j**4/7 + 5030*j**3/7 + 37262*j**2/7 - 30752*j + 238328/7.
2*(j - 2)**2*(j + 31)**3/7
Let -k**5/7 + 18*k**3/7 + 32*k**2/7 + 15*k/7 = 0. Calculate k.
-3, -1, 0, 5
Find n such that -n**4 + 29*n**3 - 77*n**2 - 29*n + 78 = 0.
-1, 1, 3, 26
Factor 35*l**4/6 - 25*l**3/6 - 5*l**2/3.
5*l**2*(l - 1)*(7*l + 2)/6
Find j such that -2*j**2 + 12*j - 10 = 0.
1, 5
Solve -t**3/6 - 97*t**2/6 - 895*t/6 - 725/2 = 0 for t.
-87, -5
Factor 4*q**2 + 60*q - 1624.
4*(q - 14)*(q + 29)
Factor 3*m**2 + 60*m.
3*m*(m + 20)
Factor 4394*n**4/5 - 19942*n**3/5 - 9828*n**2/5 - 1544*n/5 - 16.
2*(n - 5)*(13*n + 2)**3/5
Factor -i**2 + 5*i + 24.
-(i - 8)*(i + 3)
Suppose 12*f**5 - 40*f**4 - 44*f**3 + 184*f**2 - 16*f - 96 = 0. Calculate f.
-2, -2/3, 1, 2, 3
Factor 20*a**3 - 155*a**2 + 100*a + 35.
5*(a - 7)*(a - 1)*(4*a + 1)
Factor 3*o**5/4 + 75*o**4/4 + 339*o**3/2 + 1239*o**2/2 + 1911*o/4 - 5145/4.
3*(o - 1)*(o + 5)*(o + 7)**3/4
Suppose -65*f**3 + 315*f**2 - 490*f + 240 = 0. What is f?
1, 24/13, 2
Factor -4*c**4 - 36*c**3 - 56*c**2 + 96*c.
-4*c*(c - 1)*(c + 4)*(c + 6)
Factor f**4 - 20*f**3 - 21*f**2.
f**2*(f - 21)*(f + 1)
Factor -2*f**3/7 - 156*f**2/7 - 3456*f/7 - 15552/7.
-2*(f + 6)*(f + 36)**2/7
Determine x so that x**3/5 - 37*x**2/5 + 248*x/5 - 464/5 = 0.
4, 29
Factor -3*r**5 - 18*r**4 + 48*r**3 + 384*r**2 - 1536.
-3*(r - 4)*(r - 2)*(r + 4)**3
Factor 4*b**2 + 16*b + 16.
4*(b + 2)**2
Factor -2*w**3/3 + 4*w**2/3 + 2*w/3 - 4/3.
-2*(w - 2)*(w - 1)*(w + 1)/3
Solve -g**5/5 + 3*g**3/5 + 2*g**2/5 = 0.
-1, 0, 2
Factor -10*j**4 - 45*j**3 - 35*j**2 + 30*j.
-5*j*(j + 2)*(j + 3)*(2*j - 1)
Suppose -2*x**3/3 + 34*x**2/3 - 50*x + 66 = 0. Calculate x.
3, 11
Factor -v**5/5 + 6*v**4/5 - 14*v**3/5 + 16*v**2/5 - 9*v/5 + 2/5.
-(v - 2)*(v - 1)**4/5
Factor -29403*x**4/7 - 594*x**3/7 - 3*x**2/7.
-3*x**2*(99*x + 1)**2/7
Factor 3*t**2/7 + 39*t/7 + 66/7.
3*(t + 2)*(t + 11)/7
Find f such that -75*f**4 - 535*f**3 + 5*f**2 + 535*f + 70 = 0.
-7, -1, -2/15, 1
Factor -p**2/10 - 29*p/5 - 841/10.
-(p + 29)**2/10
Factor l**4 - 14*l**3 - 68*l**2 - 72*l.
l*(l - 18)*(l + 2)**2
Factor 2*k**2 + 4*k - 16.
2*(k - 2)*(k + 4)
Solve 51*y**3/2 + 128*y**2 + 209*y/2 + 2 = 0.
-4, -1, -1/51
Suppose -r**5/4 + r**4 - 3*r**3/4 = 0. What is r?
0, 1, 3
Solve 5*p**4 - 995*p**3 - 5*p**2 + 995*p = 0.
-1, 0, 1, 199
Solve 2*z**4/9 + 32*z**3/9 + 14*z**2 - 32*z/9 - 128/9 = 0.
-8, -1, 1
Factor -2*z**2/9 + 2*z/9 + 28/3.
-2*(z - 7)*(z + 6)/9
Factor 2*s**4 + 11*s**3 + 22*s**2 + 19*s + 6.
(s + 1)**2*(s + 2)*(2*s + 3)
Factor 5*q**2 + 5*q.
5*q*(q + 1)
What is k in 51*k**4 + 147*k**3 - 18*k**2 - 204*k + 24 = 0?
-2, 2/17, 1
Let -5*d**4 + 135*d**3 - 125*d**2 - 135*d + 130 = 0. What is d?
-1, 1, 26
Factor -2*q**4 - 6*q**3 + 32*q**2 - 24*q.
-2*q*(q - 2)*(q - 1)*(q + 6)
Factor o**5/2 - 5*o**4/2 + 3*o**3 + o**2 - 7*o/2 + 3/2.
(o - 3)*(o - 1)**3*(o + 1)/2
Suppose l**5/4 - 7*l**4/2 + 14*l**3 - 17*l**2/2 - 105*l/4 = 0. What is l?
-1, 0, 3, 5, 7
Suppose -4*n**5 + 76*n**4 - 220*n**3 - 300*n**2 = 0. What is n?
-1, 0, 5, 15
Factor 4*t**2/9 + 8*t + 36.
4*(t + 9)**2/9
Suppose -5*m**4 - 2365*m**3 + 2375*m**2 + 2365*m - 2370 = 0. What is m?
-474, -1, 1
Let -24*v**4 - 495*v**3 - 3339*v**2 - 6909*v + 3087 = 0. What is v?
-7, 3/8
Let 4*u**3 - 28*u**2 - 20*u + 300 = 0. What is u?
-3, 5
What is u in -u**4 - 2*u**3 + 9*u**2 + 2*u - 8 = 0?
-4, -1, 1, 2
Determine z so that -20*z**3 - 108*z**2 + 240*z + 112 = 0.
-7, -2/5, 2
Determine u so that -2*u**5/3 - 94*u**4/3 + 4*u**3/3 + 188*u**2/3 - 2*u/3 - 94/3 = 0.
-47, -1, 1
Factor -3*n**3 + 99*n**2 - 1080*n + 3888.
-3*(n - 12)**2*(n - 9)
Suppose -i**4/2 - 3*i**3/2 - i**2 = 0