 c.
-2, 0, 2/7, 2, 24
Let -2*p**3/13 - 412*p**2/13 + 414*p/13 = 0. What is p?
-207, 0, 1
Factor -j**3/7 + 12*j/7 + 16/7.
-(j - 4)*(j + 2)**2/7
What is q in 2*q**2/3 - 172*q/3 + 3698/3 = 0?
43
Suppose 4*k**2 - 664*k + 2592 = 0. Calculate k.
4, 162
Determine q, given that -625*q**4/2 + 6750*q**3 - 3975*q**2 + 790*q - 105/2 = 0.
1/5, 21
Determine j so that -j**5 - 21*j**4 + 273*j**3 - 1087*j**2 + 1824*j - 1116 = 0.
-31, 2, 3
Solve 18*h**4 - 273*h**3 + 837*h**2 - 132*h = 0 for h.
0, 1/6, 4, 11
Factor 3*d**4/2 - 667*d**3/2 + 111*d**2.
d**2*(d - 222)*(3*d - 1)/2
Solve -a**2/2 - 121*a + 243/2 = 0.
-243, 1
Factor 2*u**3 - 2325*u**2/2 + 2901*u/2 - 290.
(u - 580)*(u - 1)*(4*u - 1)/2
Determine r so that -3*r**4 - 45*r**3 + 3*r**2 + 45*r = 0.
-15, -1, 0, 1
Solve -t**4/2 - 9*t**3/2 - 21*t**2/2 + t/2 + 15 = 0 for t.
-5, -3, -2, 1
What is l in l**4/5 + 4*l**3/5 - 62*l**2/5 - 84*l - 135 = 0?
-5, -3, 9
Let -2*z**3/9 + 20*z**2/9 - 32*z/9 = 0. What is z?
0, 2, 8
Solve -n**2/3 + 61*n/3 - 118/3 = 0.
2, 59
Factor -2*h**3/7 - 6*h**2 - 190*h/7 - 150/7.
-2*(h + 1)*(h + 5)*(h + 15)/7
Suppose 3*u**3 - 42*u**2 + 75*u - 36 = 0. What is u?
1, 12
Solve 3*l**5 + 66*l**4 + 408*l**3 + 1104*l**2 + 1392*l + 672 = 0 for l.
-14, -2
Factor -x**2/5 + 37*x + 756/5.
-(x - 189)*(x + 4)/5
Solve 3*f**3/2 - 1701*f**2 = 0 for f.
0, 1134
What is x in 117*x**3/4 - x**2/2 - 117*x + 2 = 0?
-2, 2/117, 2
Factor 5*n**4 + 60*n**3 + 240*n**2 + 400*n + 240.
5*(n + 2)**3*(n + 6)
Find k, given that -4*k**3 - 764*k**2 - 36096*k + 36864 = 0.
-96, 1
Factor b**2/7 - 4*b/7 - 12/7.
(b - 6)*(b + 2)/7
Factor -2*m**3/5 - 392*m**2/5 + 398*m/5 + 788/5.
-2*(m - 2)*(m + 1)*(m + 197)/5
Factor -2*d**2/9 - 4*d + 80.
-2*(d - 12)*(d + 30)/9
Suppose -2*g**3/11 - 162*g**2/11 - 624*g/11 - 56 = 0. Calculate g.
-77, -2
Factor -3*n**2/2 + 66*n + 135/2.
-3*(n - 45)*(n + 1)/2
Determine d so that -3*d**2/2 + 3000*d - 1500000 = 0.
1000
Let 6*n**5/11 + 22*n**4 + 310*n**3/11 - 82*n**2/11 - 156*n/11 = 0. Calculate n.
-39, -1, 0, 2/3
Let -2*g**3 + 112*g**2 + 882*g = 0. Calculate g.
-7, 0, 63
Let 76*d**3 - 3352*d**2 + 37136*d - 3872 = 0. What is d?
2/19, 22
Let -28*l**2 - 48*l = 0. Calculate l.
-12/7, 0
Find n such that 8*n**5/5 - 122*n**4/5 + 454*n**3/5 - 274*n**2/5 - 678*n/5 + 36 = 0.
-1, 1/4, 3, 10
Suppose 4*l**4/5 + 156*l**3/5 + 88*l**2/5 - 2352*l/5 + 608 = 0. Calculate l.
-38, -5, 2
Factor -4*p**4 - 20*p**3 - 32*p**2 - 16*p.
-4*p*(p + 1)*(p + 2)**2
Suppose -2*m**2 - 492*m - 30258 = 0. What is m?
-123
Factor -4*l**4 + 40*l**3 + 524*l**2 + 912*l + 432.
-4*(l - 18)*(l + 1)**2*(l + 6)
Solve 3*x**3 + 2154*x**2 - 4317*x + 2160 = 0.
-720, 1
Let 2*r**2/5 - 246*r/5 - 1016/5 = 0. Calculate r.
-4, 127
Suppose -2*d**2/3 - 8*d/3 - 2 = 0. Calculate d.
-3, -1
Factor h**4/4 + 11*h**3 + 121*h**2.
h**2*(h + 22)**2/4
Factor v**4/2 - 130*v**3 + 387*v**2 - 386*v + 257/2.
(v - 257)*(v - 1)**3/2
Factor b**4/7 - 2*b**3/7 - b**2/7 + 2*b/7.
b*(b - 2)*(b - 1)*(b + 1)/7
Factor -l**5/7 - 2*l**4/7 + 12*l**3/7 + 40*l**2/7 + 32*l/7.
-l*(l - 4)*(l + 2)**3/7
Suppose -s**4/3 - 14*s**3/3 - 44*s**2/3 - 40*s/3 = 0. What is s?
-10, -2, 0
Factor 3*p**2 - 10593*p.
3*p*(p - 3531)
Determine n, given that -n**2 + 1239*n + 1240 = 0.
-1, 1240
Factor -15*m**4 + 55*m**3 - 40*m**2 - 20*m.
-5*m*(m - 2)**2*(3*m + 1)
Factor u**3/3 - 344*u**2/3 - 115*u.
u*(u - 345)*(u + 1)/3
Find x such that 9*x**3 - 21*x**2/2 - 6*x + 15/2 = 0.
-5/6, 1
Let 62*y**4/9 + 214*y**3 - 434*y**2 + 1786*y/9 + 44/3 = 0. What is y?
-33, -2/31, 1
Factor -4*h**3/3 + 1468*h**2/3 - 45140*h + 44652.
-4*(h - 183)**2*(h - 1)/3
Let a**2/2 - 521*a/4 - 261/4 = 0. Calculate a.
-1/2, 261
Factor 28*n**4 - 316*n**3 - 248*n**2 + 96*n.
4*n*(n - 12)*(n + 1)*(7*n - 2)
Find b such that -5*b**2 + 5*b + 30 = 0.
-2, 3
Let -2*s**4 - 22*s**3 - 66*s**2 - 10*s + 100 = 0. Calculate s.
-5, -2, 1
Suppose -2*n**2/7 - 2*n/7 = 0. What is n?
-1, 0
Factor -40*u**2 + 8636*u + 864.
-4*(u - 216)*(10*u + 1)
Suppose -5*l**2/2 - 100*l - 1000 = 0. What is l?
-20
Find p such that 48*p**4 + 120*p**3 - 549*p**2 + 249*p - 30 = 0.
-5, 1/4, 2
Determine s, given that 10*s**5 + 168*s**4 + 3378*s**3/5 - 524*s**2 - 12264*s/5 - 7056/5 = 0.
-42/5, -1, 2
Factor s**2 + 2052*s + 1052676.
(s + 1026)**2
Factor -5*b**5/3 + 17*b**4/3 - 8*b**3/3 - 4*b**2.
-b**2*(b - 2)**2*(5*b + 3)/3
Determine h, given that -h**4/2 + 21*h**3/2 + 48*h**2 + 50*h = 0.
-2, 0, 25
Suppose -3*x**4/7 + 138*x**3/7 + 144*x**2/7 - 138*x/7 - 141/7 = 0. What is x?
-1, 1, 47
Factor 3*a**3 + 18*a**2 + 15*a - 36.
3*(a - 1)*(a + 3)*(a + 4)
Factor -u**3/7 - 4*u**2 + 29*u/7.
-u*(u - 1)*(u + 29)/7
Factor -2*f**2/13 + 102*f/13 + 8.
-2*(f - 52)*(f + 1)/13
Factor 15*w**3/7 - 249*w**2/7 - 42*w + 528/7.
3*(w - 1)*(w + 2)*(5*w - 88)/7
Factor -3*q**2 + 3*q + 126.
-3*(q - 7)*(q + 6)
Find k such that 2*k**2/11 + 116*k/11 + 1682/11 = 0.
-29
Factor 3*d**4 + 27*d**3 - 3*d**2 - 27*d.
3*d*(d - 1)*(d + 1)*(d + 9)
Factor 3*t**5/4 - 3*t**4 - 6*t**3 + 15*t**2/2 + 69*t/4 + 15/2.
3*(t - 5)*(t - 2)*(t + 1)**3/4
Determine r, given that -8*r**5/3 - 10*r**4/3 + 134*r**3/3 + 202*r**2/3 - 82*r - 24 = 0.
-3, -1/4, 1, 4
Determine q so that 2*q**2/3 - 512*q/3 + 32768/3 = 0.
128
Factor q**3/3 - 6*q**2 + 47*q/3 - 10.
(q - 15)*(q - 2)*(q - 1)/3
Factor -3*c**2 - 369*c + 1134.
-3*(c - 3)*(c + 126)
Determine k so that k**4/5 - 19*k**3/5 + 17*k**2/5 + 19*k/5 - 18/5 = 0.
-1, 1, 18
Solve d**5/11 - 6*d**4/11 - 9*d**3/11 + 14*d**2/11 = 0 for d.
-2, 0, 1, 7
What is g in -3*g**3 + 12*g**2 + 15*g = 0?
-1, 0, 5
Let -4*z**5/7 - 32*z**4/7 - 48*z**3/7 + 104*z**2/7 + 244*z/7 + 120/7 = 0. Calculate z.
-5, -3, -1, 2
Determine l, given that l**4 - 40*l**3 - 130*l**2 + 40*l + 129 = 0.
-3, -1, 1, 43
Factor -t**5/8 - 11*t**4/2 - 469*t**3/8 - 735*t**2/4.
-t**2*(t + 7)**2*(t + 30)/8
Determine z, given that z**5/6 - 65*z**4/6 + 1019*z**3/6 + 1349*z**2/6 - 682*z - 726 = 0.
-2, -1, 2, 33
Let 28*v**5 + 16*v**4 - 84*v**3 - 104*v**2 - 32*v = 0. Calculate v.
-1, -4/7, 0, 2
Factor 6*g**2 - 21*g - 12.
3*(g - 4)*(2*g + 1)
Factor -n**2 - 172*n - 7396.
-(n + 86)**2
Find u, given that u**4/7 + 20*u**3/7 + 117*u**2/7 + 178*u/7 + 80/7 = 0.
-10, -8, -1
Find j, given that 126*j**5/13 + 2*j**4 - 210*j**3/13 - 10*j**2/13 + 84*j/13 - 16/13 = 0.
-1, 2/9, 4/7, 1
Factor -13*b**2/3 - 14*b - 32/3.
-(b + 2)*(13*b + 16)/3
Determine c, given that 5*c**3/3 + 15*c**2 - 1100*c/3 = 0.
-20, 0, 11
What is x in -x**4/2 - 3*x**3 - 2*x**2 + 12*x + 16 = 0?
-4, -2, 2
Determine b, given that -2*b**4/7 + 538*b**3 - 1767186*b**2/7 - 5327950*b/7 - 3556996/7 = 0.
-2, -1, 943
Find u such that 15*u**3/2 + 3*u**2 - 9*u/2 = 0.
-1, 0, 3/5
Suppose y**3 - 1352*y**2 + 2701*y - 1350 = 0. What is y?
1, 1350
Factor -4*t**3 + 148*t**2 - 268*t - 420.
-4*(t - 35)*(t - 3)*(t + 1)
Let -4*n**5/9 + 556*n**4/9 - 3872*n**3/3 + 7360*n**2 = 0. What is n?
0, 12, 115
Factor 2*h**2 + 384*h + 18432.
2*(h + 96)**2
Solve 5*w**2 + 120*w + 400 = 0.
-20, -4
Factor 2*u**2/9 + 38*u/3 + 68.
2*(u + 6)*(u + 51)/9
Let 3*a**5 + 10*a**4 - 53*a**3 - 24*a**2 + 36*a = 0. What is a?
-6, -1, 0, 2/3, 3
Factor l**5/4 - l**4 - 15*l**3/4 + 9*l**2/2.
l**2*(l - 6)*(l - 1)*(l + 3)/4
Find m such that -2*m**4 - 8*m**3 - 6*m**2 + 8*m + 8 = 0.
-2, -1, 1
Determine q, given that -5*q**2 - 60*q = 0.
-12, 0
Let -5*s**5 - 125*s**4 - 95*s**3 + 585*s**2 - 360*s = 0. What is s?
-24, -3, 0, 1
Suppose 2*f**2/15 - 368*f/3 + 84640/3 = 0. Calculate f.
460
Factor z**3/3 - 13*z**2/6 + 8*z/3 - 5/6.
(z - 5)*(z - 1)*(2*z - 1)/6
Factor 2*z**3 + 408*z**2 + 27744*z + 628864.
2*(z + 68)**3
Factor 4*z**2 - 23256*z + 33802596.
4*(z - 2907)**2
Factor -3*f**2 - 42*f + 285.
-3*(f - 5)*(f + 19)
Find r, given that r**4/6 - 2*r**3/3 - r**2/6 + 2*r/3 = 0.
-1, 0, 1, 4
Factor -5*l**4 - 125*l**3 - 330*l**2.
-5*l**2*(l + 3)*(l + 22)
Factor -3*k**3 - 48*k**2 - 123*k - 78.
-3*(k + 1)*(k + 2)*(k + 13)
Let 5*q**3 + 120*q**2 - 540*q - 19440 = 0. Calculate q.
-18, 12
Solve 4*f**4 + 848*f**3 + 59640*f**2 + 1371152*f - 1431644 = 0 for f.
-71, 1
Determine r, given that 4*r**3 + 692*r**2 + 30272*r + 29584 = 0.
-86, -1
Factor 5*o**4 - 185*o**3 + 2475*o**2 - 13915*o + 26620.
5*(o - 11)**3*(o - 4)
Let -3*a**4 - 199*a**3/5 - 498*a**2/5 - 68*a/5 + 24 = 0. Calculate a.
-10, -3, -2/3, 2/5
Find k, given that -3*k**4 + k**3 + 21*k**2 - 25*k + 6 = 0.
-3, 1/3, 1, 2
Let -4*r**2 - 40*r + 156 = 0. Calculate r