h that -k**5 + 5*k**4 + k**3 - 41*k**2 + 72*k - 36 = 0.
-3, 1, 2, 3
Suppose p**4/9 + 4*p**3/9 - p**2 - 4*p = 0. What is p?
-4, -3, 0, 3
Factor 3*p**2/5 + 450*p + 84375.
3*(p + 375)**2/5
Solve -3*c**2 - 27*c - 60 = 0 for c.
-5, -4
Suppose 3*f**3/5 + 108*f**2/5 + 252*f + 960 = 0. Calculate f.
-16, -10
Factor -f**3/6 + 8*f**2/3 - 27*f/2 + 21.
-(f - 7)*(f - 6)*(f - 3)/6
Suppose r**5/2 - 11*r**4/2 + 3*r**3 + 22*r**2 - 20*r = 0. What is r?
-2, 0, 1, 2, 10
Factor -16129*i**2/2 - 508*i - 8.
-(127*i + 4)**2/2
Suppose -4*j**3 - 12*j**2 + 144*j - 128 = 0. Calculate j.
-8, 1, 4
Factor -3*o**3/7 + 12816*o**2/7 - 18249984*o/7 + 8662659072/7.
-3*(o - 1424)**3/7
Factor 4*k**5 + 32*k**4 + 69*k**3 - 7*k**2 - 98*k.
k*(k - 1)*(k + 2)*(2*k + 7)**2
Suppose 4*f**5 - 16*f**4 - 24*f**3 + 16*f**2 + 20*f = 0. Calculate f.
-1, 0, 1, 5
Factor -3*u**3 - 165*u**2 + 12*u + 660.
-3*(u - 2)*(u + 2)*(u + 55)
Determine u so that u**2/4 - 55*u/2 = 0.
0, 110
Find l, given that -2*l**2/11 + 10464*l/11 - 13686912/11 = 0.
2616
Suppose -3*l**2/5 + 108*l/5 = 0. Calculate l.
0, 36
Let 2*m**5/5 + 20*m**4 + 1432*m**3/5 + 4508*m**2/5 + 3174*m/5 = 0. What is m?
-23, -3, -1, 0
Determine k, given that -4*k**2 + 15592*k - 15194404 = 0.
1949
Solve -i**2 + 5*i = 0 for i.
0, 5
Factor 2*w**2 - 14*w/3 + 4/3.
2*(w - 2)*(3*w - 1)/3
Determine b so that 9*b**5/5 + 12*b**4 - 534*b**3/5 + 576*b**2/5 + 837*b/5 - 324/5 = 0.
-12, -1, 1/3, 3
Find j such that -2*j**4/13 - 12*j**3/13 + 44*j/13 - 30/13 = 0.
-5, -3, 1
Factor -4*h**4 - 14448*h**3 - 13060984*h**2 - 26078640*h - 13032100.
-4*(h + 1)**2*(h + 1805)**2
Determine i so that -i**3/3 + 22*i**2/3 + 47*i/3 + 8 = 0.
-1, 24
Factor 4*y**3 + 16*y**2 + 20*y + 8.
4*(y + 1)**2*(y + 2)
Find h, given that -28*h**2 + 20*h + 8 = 0.
-2/7, 1
Factor 25*s**4/8 + 40*s**3 + 143*s**2 + 96*s + 18.
(s + 6)**2*(5*s + 2)**2/8
Let 5*t**3/2 + 20*t**2 - 5*t/2 - 20 = 0. What is t?
-8, -1, 1
Factor w**3/3 + 46*w**2 + 1792*w + 40960/3.
(w + 10)*(w + 64)**2/3
Determine k, given that 18*k**3 + 3*k**2 = 0.
-1/6, 0
Let -s**5/6 + s**4/3 + 4*s**3/3 + s**2/3 - 7*s/6 - 2/3 = 0. Calculate s.
-1, 1, 4
Factor 2*n**4/3 + 640*n**3/3 + 16852*n**2 - 103040*n/3 + 51842/3.
2*(n - 1)**2*(n + 161)**2/3
Suppose -2*b**4/11 - 192*b**3/11 - 6720*b**2/11 - 102400*b/11 - 576000/11 = 0. Calculate b.
-36, -20
Determine l, given that 3*l**3 - 23*l**2 - 10*l + 16 = 0.
-1, 2/3, 8
Factor 2*x**2 + 366*x + 1080.
2*(x + 3)*(x + 180)
Find a, given that 3*a**2/7 + 5646*a/7 + 2656443/7 = 0.
-941
Find b, given that -b**2 - 120*b + 244 = 0.
-122, 2
Determine z, given that 12*z**2 - 574*z - 96 = 0.
-1/6, 48
Solve -2*n**3/13 - 232*n**2/13 - 456*n/13 = 0 for n.
-114, -2, 0
Factor 5*j**3 + 720*j**2 + 25185*j - 53290.
5*(j - 2)*(j + 73)**2
Factor -2*g**2 - 854*g - 852.
-2*(g + 1)*(g + 426)
Let u**5/2 - u**4 = 0. Calculate u.
0, 2
Factor 8*q**2 - 646*q - 162.
2*(q - 81)*(4*q + 1)
Factor s**2/3 - 1634*s/3 + 667489/3.
(s - 817)**2/3
Factor 2*h**3 + 64*h**2 + 370*h + 500.
2*(h + 2)*(h + 5)*(h + 25)
Find n, given that -n**3/3 + 22*n**2/3 = 0.
0, 22
Solve -4418*n**4/9 - 1598*n**3/3 + 8452*n**2/9 + 248*n/3 + 16/9 = 0.
-2, -2/47, 1
Factor -w**2 - 4*w + 21.
-(w - 3)*(w + 7)
Solve -2*i**4/7 + 6*i**3/7 + 68*i**2/7 + 96*i/7 = 0.
-3, -2, 0, 8
Suppose -21*k**5/4 - 180*k**4 - 1569*k**3/4 - 531*k**2/2 - 48*k = 0. Calculate k.
-32, -1, -2/7, 0
Suppose -3*d**2 - 5520*d - 2539200 = 0. Calculate d.
-920
Determine l, given that 2*l**4/11 + 32*l**3/11 + 58*l**2/11 + 28*l/11 = 0.
-14, -1, 0
Suppose 2*s**2 - 180*s - 2222 = 0. What is s?
-11, 101
What is q in 3*q**2 - 12 = 0?
-2, 2
Suppose 4*g**5 - 28*g**4 - 172*g**3 - 68*g**2 + 264*g = 0. Calculate g.
-3, -2, 0, 1, 11
Solve -12*m**2 + 20*m - 25/3 = 0.
5/6
Determine a so that 5*a**2 + 15*a - 900 = 0.
-15, 12
Suppose 3*n**3/2 + 24*n**2 + 96*n = 0. What is n?
-8, 0
Solve -3*t**3 - 864*t**2 + 1737*t - 870 = 0.
-290, 1
Suppose u**2 - 290*u + 21025 = 0. Calculate u.
145
Solve -b**5 + 39*b**4 + b**3 - 39*b**2 = 0.
-1, 0, 1, 39
Determine g so that 3*g**5 - 21*g**3 - 6*g**2 + 36*g + 24 = 0.
-2, -1, 2
Find a such that 3*a**5 + 81*a**4 - 174*a**3 + 6*a**2 + 171*a - 87 = 0.
-29, -1, 1
Factor 3*d**2 + 78*d - 168.
3*(d - 2)*(d + 28)
Suppose -2*f**3/11 - 28*f**2/11 - 98*f/11 - 72/11 = 0. Calculate f.
-9, -4, -1
Determine k, given that 5*k**2 + 265*k = 0.
-53, 0
Suppose -5*d**2 + 330*d - 325 = 0. What is d?
1, 65
Factor -36*u**3 + 820*u**2 - 1976*u - 480.
-4*(u - 20)*(u - 3)*(9*u + 2)
Suppose -2*a**3/17 + 2288*a**2/17 + 4582*a/17 + 2292/17 = 0. Calculate a.
-1, 1146
Suppose l**2/2 - 37*l + 1369/2 = 0. Calculate l.
37
Find x, given that -3*x**3 + 6*x**2 + 24*x = 0.
-2, 0, 4
Factor c**3 - 8*c**2 + 19*c - 12.
(c - 4)*(c - 3)*(c - 1)
Factor -y**3 + 6*y**2 - 11*y + 6.
-(y - 3)*(y - 2)*(y - 1)
Factor -3*k**5/7 + 6*k**4/7 - 3*k**3/7.
-3*k**3*(k - 1)**2/7
Factor 2*g**2/7 + 1104*g/7 - 158.
2*(g - 1)*(g + 553)/7
Factor -o**3/6 + 59*o**2/2 - 3481*o/2 + 205379/6.
-(o - 59)**3/6
Factor 40*l**2 - 5044*l + 504.
4*(l - 126)*(10*l - 1)
Determine g so that -3*g**2/2 - 33*g - 60 = 0.
-20, -2
Determine z so that -4*z**5 + 404*z**4/3 - 4724*z**3/3 + 7028*z**2 - 21472*z/3 - 9680/3 = 0.
-1/3, 2, 10, 11
Determine h, given that -20*h**5/3 - 68*h**4 - 100*h**3 + 1148*h**2/3 - 160*h - 48 = 0.
-6, -1/5, 1
Solve -2*s**2 - 476*s - 28322 = 0.
-119
Suppose u**5/5 - 81*u**4/5 + 2184*u**3/5 - 19604*u**2/5 = 0. Calculate u.
0, 26, 29
Factor -3*s**5 + 243*s**4 - 4545*s**3 - 15123*s**2 - 15624*s - 5292.
-3*(s - 42)**2*(s + 1)**3
Factor -3*b**4 + 6*b**3 + 39*b**2 + 30*b.
-3*b*(b - 5)*(b + 1)*(b + 2)
Let x**2/4 - 3*x - 7 = 0. Calculate x.
-2, 14
Factor 2*b**2 + 270*b - 272.
2*(b - 1)*(b + 136)
Factor -v**2/3 - 8*v - 23/3.
-(v + 1)*(v + 23)/3
Factor -3*a**3 + 150*a**2 - 687*a + 540.
-3*(a - 45)*(a - 4)*(a - 1)
Suppose 2*t**5/3 - 43*t**4/3 + 217*t**3/3 + 187*t**2/3 - 121*t = 0. Calculate t.
-3/2, 0, 1, 11
Determine s so that -s**5/4 + 2*s**4 - 25*s**3/4 + 19*s**2/2 - 7*s + 2 = 0.
1, 2
Factor -3*g**2 - 1008*g + 1011.
-3*(g - 1)*(g + 337)
Factor 2*i**2/3 + 428*i/3.
2*i*(i + 214)/3
Suppose m**4 + 10*m**3 + 9*m**2 - 52*m + 32 = 0. Calculate m.
-8, -4, 1
Factor -4*g**2 - 59232*g - 219276864.
-4*(g + 7404)**2
Determine k so that -k**3/2 - 213*k**2/2 + 429*k/2 - 215/2 = 0.
-215, 1
Factor 28*p**3 + 4*p**2.
4*p**2*(7*p + 1)
Determine y so that -3*y**3 - 354*y**2 + 1083*y - 726 = 0.
-121, 1, 2
Suppose 5*n**4/8 + 13*n**3/8 - 51*n**2/8 + 43*n/8 - 5/4 = 0. Calculate n.
-5, 2/5, 1
Let 32*q**5/7 + 40*q**4 + 404*q**3/7 + 68*q**2/7 - 116*q/7 - 4 = 0. What is q?
-7, -1, -1/4, 1/2
Solve 3*c**2 + 7242*c + 4370547 = 0.
-1207
Determine i so that i**4 - 12*i**3 - 14*i**2 + 12*i + 13 = 0.
-1, 1, 13
Factor -w**2/4 - 5*w/4.
-w*(w + 5)/4
Determine g, given that 2*g**4 + 25790*g**3/3 + 12315202*g**2 + 5877085518*g - 11770598948/3 = 0.
-1433, 2/3
Find q, given that 4*q**4/9 + 14*q**3/9 + 2*q**2 + 10*q/9 + 2/9 = 0.
-1, -1/2
Factor 3*i**4 - 6*i**3 - 3*i**2 + 6*i.
3*i*(i - 2)*(i - 1)*(i + 1)
Suppose -49*t**5/4 - 77*t**4/4 + 33*t**3/2 + 13*t**2 + 2*t = 0. What is t?
-2, -2/7, 0, 1
Factor 4*j**4/3 - 124*j**3/3 + 1276*j**2/3 - 1452*j.
4*j*(j - 11)**2*(j - 9)/3
Factor g**5 - 5*g**4 - 9*g**3 + 13*g**2 + 28*g + 12.
(g - 6)*(g - 2)*(g + 1)**3
Suppose k**2/2 + 9*k/2 + 4 = 0. Calculate k.
-8, -1
Determine b so that b**4/5 + 2*b**3/5 - 9*b**2/5 - 18*b/5 = 0.
-3, -2, 0, 3
What is q in -3*q**2 + 3996*q - 1330668 = 0?
666
Factor b**2 - 36*b + 324.
(b - 18)**2
Factor -3*x**3/5 - 18*x**2/5 - 24*x/5.
-3*x*(x + 2)*(x + 4)/5
Find u, given that -u**4 - 4*u**3 - 6*u**2 - 4*u - 1 = 0.
-1
Factor 2*q**5/7 + 320*q**4/7 + 20480*q**3/7 + 655360*q**2/7 + 10485760*q/7 + 67108864/7.
2*(q + 32)**5/7
Find h, given that 5*h**4 + 110*h**3 + 475*h**2 - 110*h - 480 = 0.
-16, -6, -1, 1
Factor y**4/6 + 23*y**3/3 - 205*y**2/6 - 125*y/3.
y*(y - 5)*(y + 1)*(y + 50)/6
Factor g**2/6 + 17*g/6 + 12.
(g + 8)*(g + 9)/6
Solve 3*w**3/5 + 294*w**2/5 + 579*w/5 + 288/5 = 0.
-96, -1
Find k such that 2*k**5 + 9*k**4 + 5*k**3 - 30*k**2 - 52*k - 24 = 0.
-2, -3/2, -1, 2
Factor d**3 - 11*d**2/2 - 7*d/2 + 3.
(d - 6)*(d + 1)*(2*d - 1)/2
Suppose 8*a**5 - 476*a**4 + 1144*a**3 - 220*a**2 - 456*a = 0. Calculate a.
-1/2, 0, 1, 2, 57
Find q, given that 2*q**5 - 8*q**4 - 2*q**3 + 8*q**2 = 0.
-1, 0, 1, 4
Determine h, given that -h**2/4 + 7*h/4 - 5/2