*c**3/5 - 3*c**2/5 + 10*c - 24/5 = 0. Calculate c.
-1, 3/4, 1, 2, 4
Let -6*x**3 + 28*x**2 - 40*x + 16 = 0. What is x?
2/3, 2
Determine r, given that 20*r**2 + 185*r + 45 = 0.
-9, -1/4
Factor -3*k**4 + 30*k**3 - 63*k**2 - 108*k + 324.
-3*(k - 6)*(k - 3)**2*(k + 2)
Determine o so that -3*o**3/4 - 120*o**2 - 15399*o/4 + 158949/2 = 0.
-87, 14
Determine t so that -4*t**2 - 92*t - 88 = 0.
-22, -1
Suppose 4*k**3 + 200*k**2 + 2500*k = 0. What is k?
-25, 0
Find g such that -2*g**5 + 724*g**4 - 63320*g**3 - 397456*g**2 - 806656*g - 541696 = 0.
-2, 184
Factor -4*o**4 - 36*o**3 - 116*o**2 - 156*o - 72.
-4*(o + 1)*(o + 2)*(o + 3)**2
Factor 8*x**2 - 55*x/3 + 14/3.
(x - 2)*(24*x - 7)/3
Solve -6*j**2 - 260*j + 176 = 0 for j.
-44, 2/3
Factor o**2 + 2504*o + 1567504.
(o + 1252)**2
Solve -3*u**4/5 - 6*u**3 + 3*u**2/5 + 246*u/5 - 216/5 = 0.
-9, -4, 1, 2
Factor 2*n**3 - 28*n**2 - 374*n - 920.
2*(n - 23)*(n + 4)*(n + 5)
Factor 4*y**3/3 + 26*y**2/3 + 4*y.
2*y*(y + 6)*(2*y + 1)/3
Solve -2*j**3/3 + 766*j**2/3 = 0.
0, 383
Factor 6*c**3 - 33*c**2/2 - 57*c/2 - 6.
3*(c - 4)*(c + 1)*(4*c + 1)/2
Factor 9*q**3/11 - 317*q**2/11 + 376*q/11 - 68/11.
(q - 34)*(q - 1)*(9*q - 2)/11
Find a, given that 8*a**5 - 56*a**4 - 182*a**3 + 296*a**2 + 402*a + 108 = 0.
-3, -1/2, 2, 9
What is y in -5*y**2/3 - 185*y/3 + 5940 = 0?
-81, 44
Determine w so that -3*w**4 + 6*w**3 + 129*w**2 + 120*w = 0.
-5, -1, 0, 8
Find s such that -3*s**4 + 54*s**3 - 108*s**2 - 1254*s - 1089 = 0.
-3, -1, 11
Let 15*x**5 - 760*x**4 + 10595*x**3 - 24730*x**2 + 20640*x - 5760 = 0. Calculate x.
2/3, 1, 24
Solve 4*h**2 + 172*h + 168 = 0 for h.
-42, -1
Factor 3*k**3 - 72*k**2.
3*k**2*(k - 24)
Let 3*l**3/4 - 33*l**2/4 + 45*l/2 = 0. Calculate l.
0, 5, 6
Solve -n**5 + 22*n**4 - 88*n**3 + 42*n**2 + 153*n = 0.
-1, 0, 3, 17
Factor l**2/5 + 3368*l/5 + 6732/5.
(l + 2)*(l + 3366)/5
Let 4*j**3 + 8921*j**2 + 4975130*j + 1243225 = 0. What is j?
-1115, -1/4
Let -3*q**2/2 - 987*q/2 - 492 = 0. Calculate q.
-328, -1
Suppose z**3/3 + z**2 - 6*z = 0. What is z?
-6, 0, 3
Factor -4*n**4 + 476*n**3 - 13920*n**2 - 14400*n.
-4*n*(n - 60)**2*(n + 1)
Let 2*n**4/9 - 4*n**3/3 + 8*n**2/9 + 4*n/3 - 10/9 = 0. What is n?
-1, 1, 5
Factor x**2/6 - 3607*x/6 - 1804/3.
(x - 3608)*(x + 1)/6
Determine v, given that -5*v**4 - 50*v**3 - 60*v**2 + 360*v = 0.
-6, 0, 2
What is k in -5*k**4 + 115*k**3 - 210*k**2 - 6860*k + 13720 = 0?
-7, 2, 14
Let -10*y**2/7 - 138*y + 388/7 = 0. What is y?
-97, 2/5
Determine q, given that 8*q**5/17 - 6*q**4/17 - 98*q**3/17 - 24*q**2/17 = 0.
-3, -1/4, 0, 4
Determine h so that -h**5/4 + 2*h**4 - 19*h**3/4 + 2*h**2 + 5*h - 4 = 0.
-1, 1, 2, 4
Let 5*j**4 - 5*j**3 - 150*j**2 + 160*j + 800 = 0. What is j?
-5, -2, 4
Find q, given that -16*q**4 - 12*q**3 + 36*q**2 - 8*q = 0.
-2, 0, 1/4, 1
Factor -5*w**4 - 20*w**3 - 30*w**2 - 20*w - 5.
-5*(w + 1)**4
Let -2*j**2 - 94*j/3 + 32/3 = 0. What is j?
-16, 1/3
Solve m**5/5 - 169*m**4/5 + 1410*m**3 + 8078*m**2/5 - 7327*m + 4335 = 0 for m.
-3, 1, 85
Factor 5*h**4 + 475*h**3 - 480*h**2.
5*h**2*(h - 1)*(h + 96)
Factor 3*f**3/5 + 18*f**2/5 - 24*f.
3*f*(f - 4)*(f + 10)/5
Suppose t**5 - t**4 - 7*t**3 + t**2 + 6*t = 0. Calculate t.
-2, -1, 0, 1, 3
Determine y, given that 4*y**5 - 20*y**4 + 28*y**3 - 12*y**2 = 0.
0, 1, 3
Solve m**3 + 53*m**2 - 113*m - 165 = 0 for m.
-55, -1, 3
Factor -4*o**3 + 60*o**2 - 224*o.
-4*o*(o - 8)*(o - 7)
Find v, given that -3*v**3 + 3*v**2 + 1848*v + 17052 = 0.
-14, 29
Factor -2*r**2 + 42*r - 76.
-2*(r - 19)*(r - 2)
Find s such that 14*s**5/13 + 116*s**4/13 + 326*s**3/13 + 392*s**2/13 + 200*s/13 + 32/13 = 0.
-4, -2, -1, -2/7
Factor c**3/5 + 66*c**2/5 + 1089*c/5.
c*(c + 33)**2/5
Factor -10*x**3 + 16*x**2 + 10*x - 16.
-2*(x - 1)*(x + 1)*(5*x - 8)
Suppose 5*a**5 + 165*a**4 - 30*a**3 - 1030*a**2 - 1335*a - 495 = 0. What is a?
-33, -1, 3
Determine n so that n**4/9 + n**3/3 - 10*n**2/9 = 0.
-5, 0, 2
Factor -2*s**2/9 - 62*s/3 + 380/9.
-2*(s - 2)*(s + 95)/9
Suppose f**4/6 - f**3/3 + f/3 - 1/6 = 0. What is f?
-1, 1
Solve -2*u**5/13 - 4*u**4/13 + 20*u**3/13 + 16*u**2/13 - 66*u/13 + 36/13 = 0 for u.
-3, 1, 2
Determine x so that x**3/5 + 8*x**2/5 + 7*x/5 = 0.
-7, -1, 0
Factor -s**4/2 - 2*s**3 + 5*s**2/2 + 18*s + 18.
-(s - 3)*(s + 2)**2*(s + 3)/2
Suppose 20*s**4 + 136*s**3 + 196*s**2 + 80*s = 0. Calculate s.
-5, -1, -4/5, 0
Let 4*f**2 + 278*f/5 + 234/5 = 0. What is f?
-13, -9/10
Let 3*k**4 - 42*k**3 + 159*k**2 - 228*k + 108 = 0. Calculate k.
1, 2, 9
Suppose -2*t**2 - 70*t - 68 = 0. What is t?
-34, -1
Let 3*s**4 + 33*s**3 - 516*s**2 + 480*s = 0. What is s?
-20, 0, 1, 8
Determine h, given that -3*h**2/5 - 282*h/5 + 624 = 0.
-104, 10
Factor -n**4/9 - 19*n**3/3 + n**2/9 + 19*n/3.
-n*(n - 1)*(n + 1)*(n + 57)/9
Factor 2*f**5/13 + 6*f**4/13.
2*f**4*(f + 3)/13
Factor 3*c**3/2 + 39*c**2 - 177*c/2 - 126.
3*(c - 3)*(c + 1)*(c + 28)/2
Factor 2*w**4/9 + 164*w**3/9 + 1174*w**2/3 + 6560*w/9 + 3200/9.
2*(w + 1)**2*(w + 40)**2/9
Solve -12*f**5 + 48*f**4 - 75*f**3 + 57*f**2 - 21*f + 3 = 0.
1/2, 1
Let -3*v**3 - 444*v**2 - 18060*v - 117600 = 0. Calculate v.
-70, -8
Factor 5*x**4 - 230*x**3 + 2400*x**2 + 5760*x.
5*x*(x - 24)**2*(x + 2)
Determine g so that g**3/4 - 13*g**2/4 - 205*g/4 - 575/4 = 0.
-5, 23
Solve -i**2 - 2*i + 3 = 0.
-3, 1
Factor 2*x**3/3 + 14*x**2 + 208*x/3.
2*x*(x + 8)*(x + 13)/3
Suppose h**5/2 + 3*h**4/2 - 8*h**3 + 6*h**2 = 0. Calculate h.
-6, 0, 1, 2
Factor 2*b**3/15 - 148*b**2/5 + 10952*b/5 - 810448/15.
2*(b - 74)**3/15
Solve 25*l**4 + 45*l**3 + 15*l**2 - 5*l = 0 for l.
-1, 0, 1/5
Factor -i**2 + 131*i - 384.
-(i - 128)*(i - 3)
Factor -5*l**5 - 27*l**4 - 40*l**3 + 8*l**2 + 48*l + 16.
-(l - 1)*(l + 2)**3*(5*l + 2)
Suppose c**2/11 - 40*c/11 = 0. What is c?
0, 40
Factor 2*c**4/7 + 4*c**3 + 50*c**2/7 + 24*c/7.
2*c*(c + 1)**2*(c + 12)/7
Solve 49*z**4/2 - 903*z**3/2 - 754*z**2 - 318*z - 40 = 0 for z.
-1, -2/7, 20
Factor -w**3/2 + 3*w**2 - 9*w/2.
-w*(w - 3)**2/2
Solve 8*n**5 - 60*n**4 + 100*n**3 + 20*n**2 - 108*n + 40 = 0 for n.
-1, 1/2, 1, 2, 5
Find t such that 2*t**2/3 + 460*t/3 - 154 = 0.
-231, 1
Factor 2*m**3/11 + 26*m**2/11 + 4*m.
2*m*(m + 2)*(m + 11)/11
Find b, given that 15*b**4/8 + 23*b**3/2 - 213*b**2/8 + 45*b/4 + 2 = 0.
-8, -2/15, 1
What is j in -15*j**5/8 - 51*j**4/8 - 63*j**3/8 - 33*j**2/8 - 3*j/4 = 0?
-1, -2/5, 0
Factor -2*j**4 - 34*j**3 - 192*j**2 - 416*j - 256.
-2*(j + 1)*(j + 4)**2*(j + 8)
What is l in 2*l**3 - 22*l**2 - 8*l + 88 = 0?
-2, 2, 11
Factor 4*c**4 + 32*c**3 + 24*c**2 - 288*c - 540.
4*(c - 3)*(c + 3)**2*(c + 5)
Let -t**2/5 - 3*t + 16/5 = 0. What is t?
-16, 1
Factor -3*y**3/2 + 3777*y**2/2 - 1190697*y/2 + 1186923/2.
-3*(y - 629)**2*(y - 1)/2
Factor 2*o**3/3 - 16*o**2/3 + 14*o - 12.
2*(o - 3)**2*(o - 2)/3
Solve 20*d**4/9 + 116*d**3/9 + 140*d**2/9 - 44*d/3 - 16 = 0 for d.
-3, -4/5, 1
Factor -8*b**2 + 434*b - 108.
-2*(b - 54)*(4*b - 1)
Factor -5*v**2 + 1360*v - 92480.
-5*(v - 136)**2
What is i in 3*i**3 - 810*i**2 = 0?
0, 270
What is s in -2*s**3/17 + 36*s**2/17 - 210*s/17 + 400/17 = 0?
5, 8
Factor -2*h**2/11 - 214*h/11 + 60.
-2*(h - 3)*(h + 110)/11
Factor 4*f**3 + 20*f**2 - 88*f + 64.
4*(f - 2)*(f - 1)*(f + 8)
Suppose -2*k**4/3 + 14*k**3/3 - 16*k**2/3 - 32*k/3 = 0. What is k?
-1, 0, 4
Suppose -8*g**4/3 + 1102*g**3/3 - 2980*g**2/3 + 1346*g/3 + 180 = 0. Calculate g.
-1/4, 1, 2, 135
Factor -3*g**3/7 + 6*g**2/7.
-3*g**2*(g - 2)/7
Solve -5*d**2 + 2760*d = 0 for d.
0, 552
Suppose -4*l**3 + 25*l**2 + 22*l - 7 = 0. Calculate l.
-1, 1/4, 7
Factor -5*i**4 - 50*i**3 - 140*i**2 - 120*i.
-5*i*(i + 2)**2*(i + 6)
Determine j, given that 345*j**2 - 295*j - 50 = 0.
-10/69, 1
Suppose -16*z**3 - 460*z**2 - 2572*z + 672 = 0. Calculate z.
-21, -8, 1/4
Factor -2*o**3/9 + 44*o**2/9 - 262*o/9 + 220/9.
-2*(o - 11)*(o - 10)*(o - 1)/9
Suppose -x**2/2 + 94*x - 4418 = 0. What is x?
94
Determine p, given that 3*p**2 + 90*p = 0.
-30, 0
Factor -b**2/3 + 137*b/3 - 136/3.
-(b - 136)*(b - 1)/3
Factor -5*b**3 + 1070*b**2 - 57245*b.
-5*b*(b - 107)**2
Let -r**5 - 4*r**4 + 3*r**3 + 10*r**2 - 8*r = 0. What is r?
-4, -2, 0, 1
Factor 2662*c**5/7 - 43802*c**4/7 - 24420*c**3/7 - 4472*c**2/7 - 272*c/7.
2*c*(c - 17)*(11*c + 2)**3/7
Suppose -28*w**2 - 100*w + 48 = 0. Calculate w.
-4, 3/7
Factor -3*n**3/4 + 81*n + 324.
-3*(n - 12)*(n + 6)**2/4
Find q such that 115*q**3 - 10*q**2 = 0.
0, 2/23
What is i in -4*i**4 - 24*i**3 - 2