.
-58, 0, 2
Suppose -2*o**3/9 + 26*o**2/9 - 8*o/3 = 0. What is o?
0, 1, 12
Factor 33*t**2 + 392*t/3 - 16/3.
(t + 4)*(99*t - 4)/3
Let 4*c**4 + 152*c**3 + 676*c**2 + 528*c = 0. What is c?
-33, -4, -1, 0
Factor 5*g**2 + 90*g + 225.
5*(g + 3)*(g + 15)
Find j, given that -2*j**5/7 - 4*j**4/7 + 8*j**3/7 + 4*j**2/7 - 6*j/7 = 0.
-3, -1, 0, 1
Find d such that 3*d**4 - 102*d**3 - 216*d**2 = 0.
-2, 0, 36
Factor -3*j**5 - 282*j**4 - 1092*j**3 - 1080*j**2.
-3*j**2*(j + 2)**2*(j + 90)
Suppose -p**3/3 + 2*p**2 - 11*p/3 + 2 = 0. What is p?
1, 2, 3
Factor -l**2 - 37*l + 38.
-(l - 1)*(l + 38)
Factor 98*v**4/9 + 238*v**3/9 - 160*v**2/9 + 8*v/3.
2*v*(v + 3)*(7*v - 2)**2/9
Factor -x**3/12 - 19*x**2/4 - 297*x/4 - 729/4.
-(x + 3)*(x + 27)**2/12
Factor -2*a**2 - 156*a.
-2*a*(a + 78)
Factor -4*l**2 - 76*l - 72.
-4*(l + 1)*(l + 18)
Determine b, given that -4*b**3 + 12*b**2 + 160*b - 336 = 0.
-6, 2, 7
What is m in 12*m**5 + 3*m**4 - 72*m**3 - 114*m**2 - 60*m - 9 = 0?
-1, -1/4, 3
Find v such that 5*v**2 + 80*v + 195 = 0.
-13, -3
Factor 4*x**4/9 + 1232*x**3/9 + 92368*x**2/9 - 128128*x/3 + 43264.
4*(x - 2)**2*(x + 156)**2/9
Let -5*r**4 + 20*r**3 - 25*r**2 + 10*r = 0. Calculate r.
0, 1, 2
Factor 5*i**2/4 - 1530*i + 468180.
5*(i - 612)**2/4
Solve -s**5/4 - s**4/2 + 7*s**3/4 - s**2 = 0.
-4, 0, 1
Factor -g**4 + 32*g**3 - 336*g**2 + 1152*g.
-g*(g - 12)**2*(g - 8)
Factor n**2 + 466*n + 54289.
(n + 233)**2
Find k, given that 7*k**5/3 - 26*k**4/3 + 9*k**3 - 4*k**2/3 - 4*k/3 = 0.
-2/7, 0, 1, 2
Find g such that 4*g**5/3 - 4*g**4 - 40*g**3 + 496*g**2/3 - 160*g = 0.
-6, 0, 2, 5
Determine y so that 2*y**5 - 256*y**4 + 254*y**3 = 0.
0, 1, 127
Determine d so that -d**5/9 + 2*d**4/3 + 10*d**3/9 - 20*d**2/9 - d + 14/9 = 0.
-2, -1, 1, 7
What is d in 2*d**2/7 - 132*d + 15246 = 0?
231
Find r, given that -r**4/7 - 22*r**3/7 - 173*r**2/7 - 80*r - 84 = 0.
-7, -6, -2
Determine h, given that -4*h**2/3 + 20*h/3 + 200/3 = 0.
-5, 10
Solve 3*t**2/2 - 87*t/2 + 270 = 0 for t.
9, 20
What is t in -4*t**4 - 36*t**3 - 56*t**2 + 96*t = 0?
-6, -4, 0, 1
Factor 2442*k**2/5 + 4887*k/5 + 6/5.
3*(k + 2)*(814*k + 1)/5
Factor -2*q**2/9 - 6920*q/9 - 5985800/9.
-2*(q + 1730)**2/9
Suppose -5*s**4 + 235*s**3 - 2010*s**2 - 20540*s + 47320 = 0. What is s?
-7, 2, 26
Factor 5*x**4 - 270*x**3 + 945*x**2 + 2720*x + 1500.
5*(x - 50)*(x - 6)*(x + 1)**2
Factor h**3/6 - 13*h**2/6 - 14*h - 18.
(h - 18)*(h + 2)*(h + 3)/6
Factor -c**2/2 - 27*c/2.
-c*(c + 27)/2
Suppose -18*p**4/7 + 26042*p**3/7 - 9429362*p**2/7 + 7312422*p/7 + 2090916/7 = 0. Calculate p.
-2/9, 1, 723
Factor -11*w**2/5 - 1629*w + 4446/5.
-(w + 741)*(11*w - 6)/5
Factor -2*j**2/21 - 48*j/7 + 96.
-2*(j - 12)*(j + 84)/21
Factor -q**3/3 + 83*q**2/3 - 560*q - 588.
-(q - 42)**2*(q + 1)/3
Determine w, given that 2*w**2/5 - 154*w/5 + 852/5 = 0.
6, 71
Factor -5*z**4/4 - 55*z**3/4 - 25*z**2/2.
-5*z**2*(z + 1)*(z + 10)/4
Find g, given that 9*g**5 + 390*g**4 - 1668*g**3 - 125784*g**2 + 1006080*g - 614400 = 0.
-32, 2/3, 10
Determine z so that 5*z**3 + 410*z**2 - 415*z = 0.
-83, 0, 1
Factor t**5 + 161*t**4 + 6558*t**3 + 6080*t**2 - 12800*t.
t*(t - 1)*(t + 2)*(t + 80)**2
What is h in -3*h**2 - 30*h - 63 = 0?
-7, -3
Solve q**2 + 9*q - 10 = 0 for q.
-10, 1
Determine f so that 4*f**3 - 72*f**2 + 384*f - 512 = 0.
2, 8
Solve -2*o**2 - 4*o + 70 = 0.
-7, 5
Let 4*i**2 - 540*i + 536 = 0. What is i?
1, 134
Find a such that -5*a**2 + 49900*a - 124500500 = 0.
4990
Factor -2*o**2/7 - 16*o + 114/7.
-2*(o - 1)*(o + 57)/7
Factor b**2 - 33*b + 140.
(b - 28)*(b - 5)
Factor 2*h**5 - 16*h**4 + 36*h**3 - 54*h.
2*h*(h - 3)**3*(h + 1)
Determine v, given that -v**4 + 33*v**3 + 34*v**2 = 0.
-1, 0, 34
Factor -27*p**2 - 51*p + 90.
-3*(p + 3)*(9*p - 10)
Solve -2*s**5/3 + 2*s**3/3 = 0 for s.
-1, 0, 1
Determine w, given that 9*w**4 + 30*w**3 + 27*w**2 + 6*w = 0.
-2, -1, -1/3, 0
Factor 2*a**3/3 + 2*a**2/3 - 40*a + 72.
2*(a - 6)*(a - 2)*(a + 9)/3
Factor z**4/5 + 3*z**3/5 - 6*z**2/5 - 28*z/5 - 24/5.
(z - 3)*(z + 2)**3/5
Find o, given that 2*o**3/3 + 548*o**2/3 + 38080*o/3 + 73984/3 = 0.
-136, -2
Determine r so that -4*r**3 - 40*r**2 + 92*r - 48 = 0.
-12, 1
Factor 2*n**2 - 494*n.
2*n*(n - 247)
Factor 2*k**4 - 8*k**3 - 36*k**2 + 216*k - 270.
2*(k - 3)**3*(k + 5)
Factor 10*o**2 - 285*o + 405.
5*(o - 27)*(2*o - 3)
Factor 4*q**4 - 60*q**3 + 48*q**2 + 112*q.
4*q*(q - 14)*(q - 2)*(q + 1)
Factor -4*m**2 + 418*m - 208.
-2*(m - 104)*(2*m - 1)
Find m such that -27*m**2/4 + 1347*m/2 + 150 = 0.
-2/9, 100
Find o such that o**5 + 401*o**4 + 40398*o**3 + 39200*o**2 - 80000*o = 0.
-200, -2, 0, 1
Factor 5*r**3 - 405*r**2 + 10935*r - 98415.
5*(r - 27)**3
Factor q**4/5 + 59*q**3/5 + 303*q**2/5 - 787*q/5 + 424/5.
(q - 1)**2*(q + 8)*(q + 53)/5
Factor -5*z**3 + 2110*z**2 - 8375*z + 6270.
-5*(z - 418)*(z - 3)*(z - 1)
Let 45*b**2 - 93*b + 6 = 0. Calculate b.
1/15, 2
Find k such that 26*k**3/7 + 256*k**2/7 + 194*k/7 - 36/7 = 0.
-9, -1, 2/13
Factor -o**4 + 2*o**3 - o**2.
-o**2*(o - 1)**2
Let -h**5/3 + 17*h**4 - 503*h**3/3 - 3971*h**2/3 + 168*h + 3920/3 = 0. What is h?
-5, -1, 1, 28
Suppose d**2 - 72*d + 1296 = 0. Calculate d.
36
Let 2*f**4/3 - 14*f**3/3 - 2*f**2/3 + 14*f/3 = 0. What is f?
-1, 0, 1, 7
Factor 2*v**2 + 124*v + 122.
2*(v + 1)*(v + 61)
Factor -2*s**3/3 + 152*s**2/3 - 2888*s/3.
-2*s*(s - 38)**2/3
Find g, given that 3*g**4 - 177*g**3 + 990*g**2 - 1932*g + 1272 = 0.
2, 53
Factor 2*y**2/3 + 26*y + 132.
2*(y + 6)*(y + 33)/3
Factor -n**3/2 + 19*n**2/2 - 8*n - 18.
-(n - 18)*(n - 2)*(n + 1)/2
Determine r so that -2*r**2/3 + 2*r + 260/3 = 0.
-10, 13
Find m such that -m**5/9 + m**4/3 - 4*m**2/9 = 0.
-1, 0, 2
Factor 2*k**2 - 1014*k.
2*k*(k - 507)
Solve f**5/2 + 2*f**4 - f**3/2 - 2*f**2 = 0 for f.
-4, -1, 0, 1
Determine a, given that 245*a**4/3 - 6335*a**3 + 21730*a**2 - 32620*a/3 + 1480 = 0.
2/7, 3, 74
Factor d**5/3 - 2*d**4/3 + d**3/3.
d**3*(d - 1)**2/3
Factor -y**4 + 3*y**3/5 + 2*y**2/5.
-y**2*(y - 1)*(5*y + 2)/5
What is r in -r**2/10 + 8*r/5 = 0?
0, 16
Let -2*u**4/9 - 2*u**3/9 + 4*u**2/9 = 0. What is u?
-2, 0, 1
What is o in 2*o**2 + 54*o + 100 = 0?
-25, -2
Factor b**5/5 + 2*b**4/5 - 36*b**3/5 + 88*b**2/5 - 64*b/5.
b*(b - 2)**3*(b + 8)/5
Factor -4*m**5 + 24*m**4 + 108*m**3.
-4*m**3*(m - 9)*(m + 3)
Factor -s**2/5 - s/5.
-s*(s + 1)/5
Factor 2*c**4/11 + 10*c**3/11 + 4*c**2/11 - 16*c/11.
2*c*(c - 1)*(c + 2)*(c + 4)/11
Find g, given that 22*g**2/5 + 142*g/5 - 84/5 = 0.
-7, 6/11
Determine j, given that -5*j**3 + 200*j**2 + 20*j - 800 = 0.
-2, 2, 40
Factor -2*w**4/3 - 10*w**3/3 + 26*w**2/3 - 14*w/3.
-2*w*(w - 1)**2*(w + 7)/3
Solve -h**2/3 - 324*h - 78732 = 0 for h.
-486
Factor -2*r**3/7 - 6*r**2/7 + 8*r/7 + 24/7.
-2*(r - 2)*(r + 2)*(r + 3)/7
Determine y so that 3*y**5/8 - 21*y**3/2 - 6*y**2 + 72*y + 96 = 0.
-4, -2, 4
Solve 2*h**2/17 + 1338*h/17 = 0.
-669, 0
Let -4*w**4/5 - 16*w**3/5 + 72*w**2/5 - 16*w + 28/5 = 0. What is w?
-7, 1
Factor 2*d**3 + 10384*d**2 - 20774*d + 10388.
2*(d - 1)**2*(d + 5194)
Factor 2*r**4/5 - 6*r**3/5 - 66*r**2/5 - 106*r/5 - 48/5.
2*(r - 8)*(r + 1)**2*(r + 3)/5
Find h, given that -3*h**5/5 - 204*h**4/5 - 2772*h**3/5 + 24846*h**2/5 + 555*h - 24642/5 = 0.
-37, -1, 1, 6
Determine a, given that -4*a**4 + 28*a**3 - 48*a**2 = 0.
0, 3, 4
Suppose -2*d**2/13 - 8552*d/13 - 9142088/13 = 0. Calculate d.
-2138
Find v such that -9*v**5/5 + 87*v**4/5 + 6*v**3 = 0.
-1/3, 0, 10
Determine j so that 2*j**2 + 8*j - 1242 = 0.
-27, 23
Factor -o**4/5 + 2*o**3 - 32*o**2/5 + 38*o/5 - 3.
-(o - 5)*(o - 3)*(o - 1)**2/5
Solve -3*v**4/2 + 336*v**3 + 1017*v**2 + 1020*v + 681/2 = 0.
-1, 227
Factor -i**4/3 - 10*i**3/3 - 3*i**2 + 52*i/3 - 32/3.
-(i - 1)**2*(i + 4)*(i + 8)/3
Suppose -2*s**3 + 36*s**2 + 8*s - 144 = 0. What is s?
-2, 2, 18
Find l such that -2*l**2 - 20*l + 48 = 0.
-12, 2
Suppose 3*m**3/5 - 66*m**2 - 2796*m/5 - 4248/5 = 0. What is m?
-6, -2, 118
Solve -3*t**2/4 - 36*t - 432 = 0.
-24
Suppose 3*h**5 + 75*h**4 + 573*h**3 + 1329*h**2 - 576*h - 1404 = 0. What is h?
-13, -6, -1, 1
Suppose -2*r**4/5 - 1508*r**3/5 - 284256*r**2/5 + 1508*r/5 + 284258/5 = 0. Calculate r.
-377, -1, 1
Factor -35*n**4 + 2930*n**3 - 81480*n**2 + 744800*n + 219520.
-5*(n - 28)**3*(7*n + 2)
Solve -3*q**5 + 216*q**4 - 3879*q**3 - 642*q**2 + 11232*q + 7776 = 0 for q.
-1, 2, 36
Factor -p**4 - 9*p**3 - 15*p**2 - 7*p.
-p*(p + 1)**2*(p + 7)
Find d such that 2*d**3/7 + 18*d**2