 2790*i + 675 = 0. Calculate i.
-1, -10/19, 3
Factor j**4/4 + 1971*j**3/2 + 1294947*j**2 + 567186786*j.
j*(j + 1314)**3/4
Factor x**4/5 + 8*x**3/5 - 19*x**2/5 + 2*x.
x*(x - 1)**2*(x + 10)/5
Find k, given that -6*k**4 - 1491*k**3 - 6624*k**2 - 8796*k - 2928 = 0.
-244, -2, -1/2
Factor 5*h**4 - 5*h**3 - 15*h**2 + 25*h - 10.
5*(h - 1)**3*(h + 2)
Determine w, given that -3*w**4 - 53*w**3/2 + 135*w**2/2 - 87*w/2 + 11/2 = 0.
-11, 1/6, 1
Determine a, given that -4*a**4/3 - 44*a**3/3 + 264*a**2 + 3456*a + 5760 = 0.
-12, -2, 15
Solve -27*b**5/2 + 135*b**4/2 - 45*b**3 - 95*b**2 - 75*b/2 - 9/2 = 0 for b.
-1/3, 3
Factor -20*h**3 + 116*h**2 + 328*h + 192.
-4*(h - 8)*(h + 1)*(5*h + 6)
Solve k**5 + 4*k**4 - 25*k**3 - 28*k**2 = 0 for k.
-7, -1, 0, 4
Factor 2*n**3 + 56*n**2 - 2*n - 56.
2*(n - 1)*(n + 1)*(n + 28)
Determine i so that 3*i**4 - 117*i**3 + 810*i**2 + 6468*i + 8712 = 0.
-3, -2, 22
Determine n so that -5*n**2 + 470*n = 0.
0, 94
Factor -2*r**2/5 - 24484*r/5 - 74933282/5.
-2*(r + 6121)**2/5
Solve -4*y**2 - 912*y = 0.
-228, 0
Factor g**5 + 27*g**4 + 210*g**3 + 478*g**2 + 429*g + 135.
(g + 1)**3*(g + 9)*(g + 15)
Suppose 4*l**2/5 + 684*l/5 + 664 = 0. Calculate l.
-166, -5
Find f such that 45*f**4 - 1285*f**3 - 1930*f**2 - 600*f = 0.
-1, -4/9, 0, 30
Factor 9*u**4/4 - 21*u**3/2 - 71*u**2/4 + 70*u + 100.
(u - 4)**2*(3*u + 5)**2/4
Find w such that 4*w**2 - 36*w + 72 = 0.
3, 6
Factor 307*i**2/4 + i/2.
i*(307*i + 2)/4
Find n, given that 2*n**5/9 - 22*n**4/9 + 70*n**3/9 - 50*n**2/9 - 8*n + 8 = 0.
-1, 1, 2, 3, 6
Solve -3*m**4/5 - 81*m**3/5 - 291*m**2/5 - 351*m/5 - 138/5 = 0 for m.
-23, -2, -1
Let -2*l**2/3 - 72*l - 594 = 0. Calculate l.
-99, -9
What is q in -q**5 + 56*q**4/3 + 403*q**3/3 - 412*q**2/3 - 348*q - 96 = 0?
-6, -1, -1/3, 2, 24
Let 2*o**2/5 - 3628*o/5 + 7248/5 = 0. What is o?
2, 1812
Suppose 5*d**4 + 10*d**3 - 1295*d**2 + 2540*d - 1260 = 0. What is d?
-18, 1, 14
Determine o so that -3*o**3 + 261*o**2 - 4968*o - 31740 = 0.
-5, 46
Factor -3*n**2 + 87*n - 234.
-3*(n - 26)*(n - 3)
Factor -2*x**4/11 - 8*x**3/11 + 2*x**2 - 12*x/11.
-2*x*(x - 1)**2*(x + 6)/11
Factor 4*r**3 + 40*r**2 + 112*r + 96.
4*(r + 2)**2*(r + 6)
Find r such that 3*r**5 + 9*r**4 + 3*r**3 - 9*r**2 - 6*r = 0.
-2, -1, 0, 1
Factor -4*x**2 - 344*x - 7396.
-4*(x + 43)**2
Find j, given that 3*j**2/2 + 18*j + 33/2 = 0.
-11, -1
Suppose -15*x**5/2 - 33*x**4 + 33*x**3 + 288*x**2 + 621*x/2 + 81 = 0. Calculate x.
-3, -1, -2/5, 3
Let -7*w**3/5 - 83*w**2/5 + 18*w = 0. What is w?
-90/7, 0, 1
Factor -15*g**2 - 2585*g - 860.
-5*(g + 172)*(3*g + 1)
Factor 5*n**2 - 53680*n + 144077120.
5*(n - 5368)**2
Solve -2*t**2 - 48*t = 0 for t.
-24, 0
Factor c**4/2 + c**3/2 - c**2/2 - c/2.
c*(c - 1)*(c + 1)**2/2
Let o**2/3 - 9*o + 26/3 = 0. Calculate o.
1, 26
Suppose -5*a**2 + 190*a = 0. What is a?
0, 38
Find p such that -p**2 + 2*p + 120 = 0.
-10, 12
Solve -2*m**3 + 72*m = 0 for m.
-6, 0, 6
Find n, given that 39*n**4 - 45*n**3 - 618*n**2 + 720*n - 96 = 0.
-4, 2/13, 1, 4
Let -2*l**2 - 104*l + 2010 = 0. What is l?
-67, 15
Factor 2*b**3/3 - 100*b**2/3 + 1106*b/3 - 1176.
2*(b - 36)*(b - 7)**2/3
Determine q, given that 6*q**4/5 - 44*q**3/5 + 24*q**2 - 144*q/5 + 64/5 = 0.
4/3, 2
Suppose 5*c**4 + 50*c**3 + 140*c**2 + 120*c = 0. Calculate c.
-6, -2, 0
Factor j**3/8 - 3*j**2/2 + 29*j/8 - 9/4.
(j - 9)*(j - 2)*(j - 1)/8
Determine i, given that -24*i**5 + 21*i**4 + 51*i**3 + 6*i**2 = 0.
-1, -1/8, 0, 2
Factor 3*v**5/5 + 33*v**4/5 + 126*v**3/5 + 204*v**2/5 + 24*v.
3*v*(v + 2)**3*(v + 5)/5
Solve -4*a**2/7 - 8592*a/7 - 4613904/7 = 0 for a.
-1074
Factor 4*v**2/7 - 8*v/7 - 20.
4*(v - 7)*(v + 5)/7
Factor -6*g**2 + 4250*g - 1416.
-2*(g - 708)*(3*g - 1)
Factor w**3 + 18*w**2 + 96*w + 128.
(w + 2)*(w + 8)**2
Let 2*y**4/11 - 1776*y**3/11 + 529200*y**2/11 - 53936064*y/11 + 304946208/11 = 0. What is y?
6, 294
Factor l**3 - 14*l**2 - 69*l - 54.
(l - 18)*(l + 1)*(l + 3)
Solve -3*w**4/8 + 27*w**3/8 + 3*w**2/8 - 27*w/8 = 0.
-1, 0, 1, 9
Factor i**2/2 + 1797*i/2.
i*(i + 1797)/2
What is v in -5*v**3 + 35*v**2 + 5*v - 35 = 0?
-1, 1, 7
Determine s, given that -s**4/6 - 13*s**3/6 - 35*s**2/6 + 49*s/6 = 0.
-7, 0, 1
Determine l so that -4*l**5 - 15*l**4 + 16*l**3 + 53*l**2 + 18*l - 8 = 0.
-4, -1, 1/4, 2
Factor -s**4/2 - 21*s**3/2 + 3*s**2/2 + 65*s/2 + 21.
-(s - 2)*(s + 1)**2*(s + 21)/2
Factor 3*f**3/5 + 18*f**2/5 - 81*f - 1716/5.
3*(f - 11)*(f + 4)*(f + 13)/5
Determine v, given that v**2 - 24*v + 44 = 0.
2, 22
What is t in -2*t**4 - 20*t**3 + 6*t**2 + 56*t - 40 = 0?
-10, -2, 1
Factor 2*j**2 + 620*j + 48050.
2*(j + 155)**2
Determine w, given that 2*w**3/9 - 640*w**2/9 - 5216*w/9 - 10496/9 = 0.
-4, 328
What is o in -10*o**2/9 - 2*o/9 + 4/3 = 0?
-6/5, 1
Factor -g**4/2 + g**2/2.
-g**2*(g - 1)*(g + 1)/2
Factor 3*o**4/5 - 21*o**3/5 - 18*o**2.
3*o**2*(o - 10)*(o + 3)/5
Find f, given that -5*f**5 - 5*f**4 + 35*f**3 + 5*f**2 - 30*f = 0.
-3, -1, 0, 1, 2
Suppose -4*m**3/5 - 28*m**2/5 - 56*m/5 - 32/5 = 0. What is m?
-4, -2, -1
Find d such that 14*d**3 - 788*d**2 + 11200*d - 3136 = 0.
2/7, 28
Factor -f**2/3 + 7*f - 18.
-(f - 18)*(f - 3)/3
Find w such that -3*w**3/5 - 6*w**2/5 + 9*w/5 = 0.
-3, 0, 1
Factor -d**2 + 50*d - 625.
-(d - 25)**2
Factor -a**2 + 7326*a - 13417569.
-(a - 3663)**2
Factor a**4/3 - 52*a**3/3 + 100*a**2/3.
a**2*(a - 50)*(a - 2)/3
Find m such that 5*m**4 - 755*m**3 + 28865*m**2 - 26625*m - 56250 = 0.
-1, 2, 75
Find r, given that -r**3/7 + 30*r**2/7 + 247*r/7 + 444/7 = 0.
-4, -3, 37
Factor -4*r**2/3 + 1884*r - 5648/3.
-4*(r - 1412)*(r - 1)/3
Let 2*x**3 + 16*x**2 + 10*x - 100 = 0. Calculate x.
-5, 2
Factor -2*i**2 + 20*i.
-2*i*(i - 10)
Determine k, given that 11*k**2/2 + 56*k + 10 = 0.
-10, -2/11
Solve -50*d**5 + 4720*d**4/3 - 45452*d**3/9 + 50344*d**2/9 - 20482*d/9 + 2744/9 = 0.
1/3, 7/5, 28
Determine r, given that -98*r**5/9 + 6692*r**4/9 - 157208*r**3/9 + 1377200*r**2/9 - 2571008*r/9 + 1362944/9 = 0.
8/7, 22
Factor n**2/2 + 23*n - 48.
(n - 2)*(n + 48)/2
Factor -w**2/2 + 779*w/2 + 390.
-(w - 780)*(w + 1)/2
Factor -11*j**4/5 + 1074*j**3/5 - 26019*j**2/5 - 9604*j/5.
-j*(j - 49)**2*(11*j + 4)/5
Determine y so that y**2 + 5*y + 6 = 0.
-3, -2
Suppose s**4 - 22*s**3 + 141*s**2 - 220*s + 100 = 0. What is s?
1, 10
Factor 4*q**2 + 84*q + 152.
4*(q + 2)*(q + 19)
Find p, given that -8*p**4 + 146*p**3 + 122*p**2 - 146*p - 114 = 0.
-1, -3/4, 1, 19
Factor 3*s**3 + 63*s**2 + 441*s + 1029.
3*(s + 7)**3
Factor -2*p**4 + 116*p**3 - 112*p**2 - 116*p + 114.
-2*(p - 57)*(p - 1)**2*(p + 1)
Suppose 4*w**4/11 + 38*w**3/11 - 48*w**2/11 - 70*w + 392/11 = 0. What is w?
-7, 1/2, 4
Factor x**2/3 - 5*x/3 - 14/3.
(x - 7)*(x + 2)/3
Let o**4 + 2*o**3 - 12*o**2 - 8*o + 32 = 0. Calculate o.
-4, -2, 2
Solve 2*j**2/5 - 2392*j/5 = 0 for j.
0, 1196
Factor z**3/9 + 7*z**2/3 + 49*z/3 + 343/9.
(z + 7)**3/9
Factor m**3 - 10*m**2 + 23*m - 14.
(m - 7)*(m - 2)*(m - 1)
Determine c so that 2*c**4 + 1944*c**3/5 + 766*c**2/5 - 1944*c/5 - 776/5 = 0.
-194, -1, -2/5, 1
Suppose 4*k**4 + 68*k**3 + 312*k**2 + 560*k + 352 = 0. What is k?
-11, -2
Let -2*k**4 + 16*k**3 - 6*k**2 - 64*k + 56 = 0. What is k?
-2, 1, 2, 7
Suppose -4*b**4 - 12*b**3 + 32*b**2 + 48*b - 64 = 0. Calculate b.
-4, -2, 1, 2
Suppose -n**2 + 273*n = 0. Calculate n.
0, 273
Factor w**2/3 + 16*w/3 + 5.
(w + 1)*(w + 15)/3
Factor 13*l**3/6 - 151*l**2/6 + 181*l/3 - 112/3.
(l - 2)*(l - 1)*(13*l - 112)/6
Suppose -2*h**4/9 - 464*h**3/9 - 460*h**2/9 + 464*h/9 + 154/3 = 0. Calculate h.
-231, -1, 1
Factor -k**3 - 362*k**2 - 32761*k.
-k*(k + 181)**2
Factor 2*t**3 - 18*t**2 + 12*t + 32.
2*(t - 8)*(t - 2)*(t + 1)
Suppose 5*o**4 + 245*o**3 + 685*o**2 - 245*o - 690 = 0. What is o?
-46, -3, -1, 1
Factor v**4/7 - 22*v**3/7 - 48*v**2/7.
v**2*(v - 24)*(v + 2)/7
Find x such that 90*x**5 + 123*x**4 - 75*x**3 - 141*x**2 - 15*x + 18 = 0.
-1, -2/3, 3/10, 1
Factor d**2 + 280*d/3 + 31.
(d + 93)*(3*d + 1)/3
Suppose -m**4/3 - 862*m**3/3 - 61343*m**2 + 746492*m/3 - 749956/3 = 0. What is m?
-433, 2
Factor 5*i**2 - 5670*i + 1607445.
5*(i - 567)**2
Factor 3*r**2 - 39*r - 90.
3*(r - 15)*(r + 2)
Factor m**3/3 + 7*m**2/3 - 8*m/3.
m*(m - 1)*(m + 8)/3
What is u in 45*u**5/4 + 39*u**4 + 147*u**3/4 + 6*u**2 - 3*u = 0?
-2, -1, -2/3, 0, 1/5
Determine w so that 2*w**2 + 550*w/7 + 156/7 = 0.
-39, -2/7
Find u, given that 21*u**2/4 - 201*u/4 + 45 = 0.
1, 60/7
Find d, given that -d**4