e o.
-7, 1
Determine i, given that -162*i**3 + 1758*i**2 + 2368*i/9 + 88/9 = 0.
-2/27, 11
Factor -12*d**3 - 2712*d**2 - 151863*d + 154587.
-3*(d - 1)*(2*d + 227)**2
Factor 2*a**4 - 4*a**3 + 2*a**2.
2*a**2*(a - 1)**2
Determine s so that -4*s**5/5 + 88*s**4 + 1344*s**3/5 + 1352*s**2/5 + 452*s/5 = 0.
-1, 0, 113
Factor -2*m**4 - 32*m**3 + 34*m**2.
-2*m**2*(m - 1)*(m + 17)
Factor -s**2/4 + s - 3/4.
-(s - 3)*(s - 1)/4
Solve -3*i**4/2 - 27*i**3/2 = 0.
-9, 0
Find c such that 5*c**3 + 95*c**2 + 495*c + 405 = 0.
-9, -1
Factor -2*z**3 + 238*z**2 - 468*z.
-2*z*(z - 117)*(z - 2)
Solve 2*g**2 + 32*g - 34 = 0.
-17, 1
Factor -76*r**5 + 140*r**4 - 52*r**3 - 12*r**2.
-4*r**2*(r - 1)**2*(19*r + 3)
What is w in 5*w**3 + 115*w**2 - 565*w - 675 = 0?
-27, -1, 5
What is r in 2*r**3/11 + 96*r**2/11 + 186*r/11 + 92/11 = 0?
-46, -1
Find m such that m**3/6 + 10*m**2/3 + 89*m/6 - 55/3 = 0.
-11, -10, 1
Let -6*h**2/5 - 199*h/5 - 33/5 = 0. Calculate h.
-33, -1/6
Factor -2*m**2/7 + 292*m/7 - 10658/7.
-2*(m - 73)**2/7
Solve o**5 - 5*o**4 - 30*o**3 - 50*o**2 - 35*o - 9 = 0.
-1, 9
Factor -2*q**3/5 + 6*q**2/5 + 144*q/5 + 352/5.
-2*(q - 11)*(q + 4)**2/5
Let -s**5/2 + 183*s**4/2 - 5167*s**3 + 89225*s**2 - 865761*s/2 - 1054729/2 = 0. What is s?
-1, 13, 79
Solve -2*y**5/7 - 172*y**4/7 - 3504*y**3/7 + 9152*y**2/7 + 30976*y/7 = 0 for y.
-44, -2, 0, 4
Let 2*d**3/13 + 406*d**2/13 - 408*d/13 = 0. Calculate d.
-204, 0, 1
Factor 2*t**5 + 30*t**4 + 60*t**3 - 380*t**2 + 450*t - 162.
2*(t - 1)**3*(t + 9)**2
Let -2*p**5 - 494*p**4/3 - 1940*p**3/9 + 332*p**2/9 + 646*p/9 - 18 = 0. Calculate p.
-81, -1, 1/3
Solve -65*m**2 - 55*m + 120 = 0 for m.
-24/13, 1
Factor -3*c**3 + 30*c**2 - 51*c + 24.
-3*(c - 8)*(c - 1)**2
Factor -5*v**3 - 75*v**2 - 240*v + 320.
-5*(v - 1)*(v + 8)**2
Suppose -6*h**5/13 + 32*h**4/13 - 22*h**3/13 - 44*h**2/13 + 16*h/13 = 0. What is h?
-1, 0, 1/3, 2, 4
Solve -m**5 + 17*m**4 + 162*m**3 + 144*m**2 = 0 for m.
-6, -1, 0, 24
Solve -2*g**4 - 38*g**3 - 60*g**2 + 152*g + 272 = 0 for g.
-17, -2, 2
Factor u**2/5 + u + 6/5.
(u + 2)*(u + 3)/5
Factor 8*v**4/3 + 244*v**3 + 362*v**2 + 541*v/3 + 30.
(v + 90)*(2*v + 1)**3/3
Find y, given that 3*y**4 - 900*y**3 + 90000*y**2 - 3000000*y = 0.
0, 100
Find m such that 2*m**5/3 + 56*m**4/3 + 244*m**3/3 + 328*m**2/3 + 46*m = 0.
-23, -3, -1, 0
Solve -y**3/2 - 85*y**2 - 3526*y + 7396 = 0.
-86, 2
Factor 3*z**3 - 75*z**2/4 + 36*z - 81/4.
3*(z - 3)*(z - 1)*(4*z - 9)/4
Let -5*r**4 - 30*r**3 + 75*r**2 + 500*r = 0. What is r?
-5, 0, 4
Determine p so that 651*p**2 - 9*p = 0.
0, 3/217
Let -v**2/5 - 211*v + 1056/5 = 0. Calculate v.
-1056, 1
Factor -2*g**4/5 - 8*g**3/5 - 8*g**2/5.
-2*g**2*(g + 2)**2/5
Solve -3*p**5 + 51*p**4 - 192*p**3 + 144*p**2 = 0.
0, 1, 4, 12
Let 104*m**2 + 204*m - 8 = 0. Calculate m.
-2, 1/26
Factor -n**3/3 + 3*n**2 - 2*n - 16/3.
-(n - 8)*(n - 2)*(n + 1)/3
Factor -2*v**3/3 - 56*v**2/3 - 50*v/3 + 36.
-2*(v - 1)*(v + 2)*(v + 27)/3
Factor 2*d**2 + 58*d - 60.
2*(d - 1)*(d + 30)
Factor 5*p**3 - 60*p**2 + 60*p + 400.
5*(p - 10)*(p - 4)*(p + 2)
Factor -2*c**3/19.
-2*c**3/19
Find g such that 4805*g**4/4 + 248*g**3 - 327*g**2/4 + 9*g/2 = 0.
-2/5, 0, 3/31
Factor -j**5/5 - 3*j**4/5 - 3*j**3/5 - j**2/5.
-j**2*(j + 1)**3/5
Determine j, given that -2*j**5 - 16*j**4 + 2*j**3 + 16*j**2 = 0.
-8, -1, 0, 1
Suppose -10443*d**5/2 + 83426*d**4 - 996866*d**3/3 - 22624*d**2/3 - 128*d/3 = 0. Calculate d.
-2/177, 0, 8
Solve -2*r**2/21 - 412*r/21 - 58 = 0 for r.
-203, -3
Factor -k**2 + 95*k + 96.
-(k - 96)*(k + 1)
Suppose -2*k**2/5 - 4600*k - 13225000 = 0. What is k?
-5750
Solve n**5/4 - 19*n**4/2 + 319*n**3/4 + 419*n**2/2 - 80*n - 200 = 0 for n.
-2, -1, 1, 20
What is x in x**4/2 - 3*x**3 + 7*x**2/2 + 3*x - 4 = 0?
-1, 1, 2, 4
Determine n, given that n**3/4 + 165*n**2 - n/4 - 165 = 0.
-660, -1, 1
Let -4*t**5 + 724*t**4 - 30124*t**3 - 239156*t**2 - 385024*t - 176720 = 0. Calculate t.
-5, -1, 94
Factor 3*g**3 - 63*g**2 + 54*g + 120.
3*(g - 20)*(g - 2)*(g + 1)
Suppose -2*a**3/13 - 34*a**2/13 - 132*a/13 - 144/13 = 0. What is a?
-12, -3, -2
Determine h so that -5*h**4 + 50*h**3 - 40*h**2 - 50*h + 45 = 0.
-1, 1, 9
Solve -2*n**4/3 + 17*n**3/2 - 107*n**2/6 - 5*n = 0 for n.
-1/4, 0, 3, 10
Solve 100*f**2 - 500*f - 216 = 0.
-2/5, 27/5
Solve 5*o**3 + 775*o**2 + 1535*o + 765 = 0.
-153, -1
Factor 2*g**4 + 50*g**3 + 144*g**2 - 504*g.
2*g*(g - 2)*(g + 6)*(g + 21)
Find x, given that 3*x**3/2 - 18567*x**2 + 76607442*x - 105360768564 = 0.
4126
Factor j**3/6 - 9*j**2/2 + 37*j/3 - 8.
(j - 24)*(j - 2)*(j - 1)/6
Find d such that d**5/3 + d**4 - 3*d**3 - 23*d**2/3 + 8*d + 12 = 0.
-3, -1, 2
Factor -2*q**2/7 - 30*q/7 - 4.
-2*(q + 1)*(q + 14)/7
Find b, given that 4*b**2 - 12*b - 40 = 0.
-2, 5
Solve -u**2/4 - 21*u/2 - 41/4 = 0 for u.
-41, -1
Factor 3*g**4 - 231*g**3 + 5850*g**2 - 46644*g - 52728.
3*(g - 26)**3*(g + 1)
Let 4*h**3 + 868*h**2 + 47520*h + 46656 = 0. Calculate h.
-108, -1
Factor b**2/3 + 32*b - 505/3.
(b - 5)*(b + 101)/3
Factor -10*i**4/7 + 64*i**3/7 - 24*i**2/7.
-2*i**2*(i - 6)*(5*i - 2)/7
Factor -5*u**2 + 520*u.
-5*u*(u - 104)
Find g, given that 2*g**4/11 + 8*g**3/11 - 6*g**2/11 - 28*g/11 - 16/11 = 0.
-4, -1, 2
Factor 25*i**2 - 3215*i + 1920.
5*(i - 128)*(5*i - 3)
Factor -2*t**2 + 138*t - 520.
-2*(t - 65)*(t - 4)
Suppose 4*c**5/7 + 68*c**4/7 + 204*c**3/7 - 788*c**2/7 - 208*c/7 + 720/7 = 0. Calculate c.
-10, -9, -1, 1, 2
Solve -10*g**3/19 - 44*g**2/19 + 4354*g/19 + 92 = 0 for g.
-23, -2/5, 19
Factor -4*n**3 - 2168*n**2 - 293764*n.
-4*n*(n + 271)**2
Find v such that v**3/2 - 5*v**2 + 16*v - 16 = 0.
2, 4
Factor -2*u**2/5 + 68*u/5.
-2*u*(u - 34)/5
Factor 2*a**4/5 + 22*a**3 - 226*a**2/5 + 114*a/5.
2*a*(a - 1)**2*(a + 57)/5
Determine k so that -2*k**4/11 + 8*k**3/11 + 2*k**2/11 - 8*k/11 = 0.
-1, 0, 1, 4
Suppose 4*o**4/5 - 384*o**3/5 + 12472*o**2/5 - 156288*o/5 + 662596/5 = 0. What is o?
11, 37
Solve -2*j**4/7 + 38*j**3/7 - 34*j**2/7 - 38*j/7 + 36/7 = 0 for j.
-1, 1, 18
Solve -4*x**5 + 68*x**4 - 216*x**3 - 680*x**2 + 1756*x - 924 = 0.
-3, 1, 7, 11
Factor 3*k**2 - 75*k + 252.
3*(k - 21)*(k - 4)
Determine v, given that -12*v**2 - 39*v + 348 = 0.
-29/4, 4
Solve t**3/5 - 23*t**2/5 + 94*t/5 - 72/5 = 0 for t.
1, 4, 18
Determine y, given that -4*y**3 - 520*y**2 - 1508*y + 2032 = 0.
-127, -4, 1
Determine v so that 2*v**4/11 - 2*v**3/11 - 2*v**2/11 + 2*v/11 = 0.
-1, 0, 1
What is m in -3*m**4/7 + 30*m**3 - 441*m**2 = 0?
0, 21, 49
Let -2*p**4/5 - 8*p**3/5 + 24*p**2 + 576*p/5 = 0. Calculate p.
-6, 0, 8
Factor b**3 - 128*b**2 + 3965*b + 8450.
(b - 65)**2*(b + 2)
Solve 4*a**4 + 44*a**3 + 132*a**2 + 20*a - 200 = 0.
-5, -2, 1
Factor 2*w**4/15 - 16*w**2/15 + 32/15.
2*(w - 2)**2*(w + 2)**2/15
Find y such that 20*y**5 - 32*y**4 + 12*y**3 = 0.
0, 3/5, 1
Factor 2*o**4/23 - 8*o**3/23 - 14*o**2/23 + 20*o/23.
2*o*(o - 5)*(o - 1)*(o + 2)/23
Factor -8*t**3 - 90*t**2 + 74*t + 24.
-2*(t - 1)*(t + 12)*(4*t + 1)
Let 50*s**4/9 + 40*s**3/9 - 28*s**2 + 24*s - 6 = 0. Calculate s.
-3, 3/5, 1
Suppose -5*s**5 - 835*s**4 - 47030*s**3 - 923450*s**2 - 1709125*s - 831875 = 0. Calculate s.
-55, -1
Suppose -3*o**5/5 + 3618*o**4/5 - 217440*o**3 - 2188896*o**2/5 = 0. What is o?
-2, 0, 604
Solve 20*n**5 - 348*n**4 + 116*n**3 + 348*n**2 - 136*n = 0 for n.
-1, 0, 2/5, 1, 17
Factor 26*x**3/11 + 84*x**2/11 + 18*x/11.
2*x*(x + 3)*(13*x + 3)/11
Determine o so that -2*o**3/7 - 208*o**2/7 - 1192*o/7 - 224 = 0.
-98, -4, -2
Suppose -3*h**3 - 132*h**2 - 1152*h + 6912 = 0. What is h?
-24, 4
Factor 3*j**2 - 191*j/3 + 14.
(j - 21)*(9*j - 2)/3
Find l, given that -5*l**3 - 4935*l**2 - 1623615*l - 178056445 = 0.
-329
Factor -c**3 - 16*c**2 + 35*c - 18.
-(c - 1)**2*(c + 18)
Determine a so that 45*a**3 + 55*a**2 - 530*a - 120 = 0.
-4, -2/9, 3
Suppose -2*k**4 - 102*k**3 + 430*k**2 - 546*k + 220 = 0. Calculate k.
-55, 1, 2
Determine h, given that 3*h**2 - 1056*h + 1053 = 0.
1, 351
Factor -v**2/8 - 11*v - 123/2.
-(v + 6)*(v + 82)/8
Solve 3*t**2 + 66*t + 120 = 0.
-20, -2
Factor -2*j**2/19 + 56*j/19 - 54/19.
-2*(j - 27)*(j - 1)/19
Let -3*b**2 + 714*b + 1440 = 0. What is b?
-2, 240
Suppose -l**5 - 7*l**4 - 11*l**3 + 19*l**2 + 60*l + 36 = 0. What is l?
-3, -2, -1, 2
Factor 3*n**4 - 20*n**3 + 48*n**2 - 48*n + 16.
(n - 2)**3*(3*n - 2)
Factor f**2 - 29*f - 96.
(f - 32)*(f + 3)
Factor -5*h**3/2 - 705*h**2/2 - 9360*h + 228150.
-5*(h - 15)*(h + 78)**2/2
Facto