 such that j**5/5 + 3*j**4/5 - 9*j**3/5 - 23*j**2/5 - 12*j/5 = 0.
-4, -1, 0, 3
Suppose 16*i**4/9 - 16*i**3/3 - 4*i**2/3 + 32*i/9 + 4/3 = 0. What is i?
-1/2, 1, 3
Determine t so that t**2/6 + 167*t/3 + 27889/6 = 0.
-167
Let -3*t**5/7 + 30*t**3/7 - 27*t/7 = 0. Calculate t.
-3, -1, 0, 1, 3
Factor 15*n**2 - 4119*n - 1650.
3*(n - 275)*(5*n + 2)
Factor -7*z**4 - z**3 + 41*z**2 - 51*z + 18.
-(z - 1)**2*(z + 3)*(7*z - 6)
Let 6*l**4/7 - 1492*l**3/7 + 5402*l**2/7 - 420*l = 0. Calculate l.
0, 2/3, 3, 245
Suppose -2*k**5/9 + 28*k**4/9 - 22*k**3/9 - 52*k**2/9 = 0. What is k?
-1, 0, 2, 13
What is k in -588*k**3 + 350*k**2 + 400*k - 250 = 0?
-5/6, 5/7
Factor 3*h**4 - 27*h**2 + 12*h + 36.
3*(h - 2)**2*(h + 1)*(h + 3)
Factor -v**4/3 + 12*v**3 - 34*v**2/3 - 12*v + 35/3.
-(v - 35)*(v - 1)**2*(v + 1)/3
Factor 2*k**2/7 - 426*k/7 + 8404/7.
2*(k - 191)*(k - 22)/7
Solve w**2 + 36*w - 37 = 0.
-37, 1
Find d, given that -4*d**3 - 188*d**2 - 2464*d - 5808 = 0.
-22, -3
Determine x so that -3*x**5 + 4*x**4 + 4*x**3 - 6*x**2 - x + 2 = 0.
-1, -2/3, 1
What is x in -4*x**2 - 212*x + 216 = 0?
-54, 1
Factor 2*j**2/11 + 8*j + 88.
2*(j + 22)**2/11
Factor 4*l**3/7 + 36*l**2/7 + 80*l/7 + 48/7.
4*(l + 1)*(l + 2)*(l + 6)/7
Factor -3*z**3 + 51*z**2 - 198*z + 216.
-3*(z - 12)*(z - 3)*(z - 2)
Factor 44*k**3 - 52*k**2 + 8*k.
4*k*(k - 1)*(11*k - 2)
Let 4*n**3 - 20*n**2 + 16*n = 0. Calculate n.
0, 1, 4
Factor 4*q**3 + 496*q**2 + 492*q.
4*q*(q + 1)*(q + 123)
Factor -2*x**2 + 1882*x.
-2*x*(x - 941)
Factor b**3/2 + 189*b**2/2 + 94*b.
b*(b + 1)*(b + 188)/2
Determine v, given that v**3/2 - 435*v**2 + 189225*v/2 = 0.
0, 435
Solve 5*a**4 + 165*a**3 + 1090*a**2 - 4500*a + 3240 = 0 for a.
-18, 1, 2
Let 3*l**3 + 18*l**2 + 33*l + 18 = 0. Calculate l.
-3, -2, -1
Let -10*b**4/9 - 146*b**3/9 - 380*b**2/9 + 776*b/9 - 80/3 = 0. Calculate b.
-10, -6, 2/5, 1
Solve 2*y**3/5 + 406*y**2/5 + 4656*y/5 + 13752/5 = 0.
-191, -6
Find o, given that 7*o**4/2 - 5*o**3/2 - 22*o**2 - 6*o = 0.
-2, -2/7, 0, 3
Suppose j**2/4 + 695*j/4 + 347/2 = 0. Calculate j.
-694, -1
Factor -2*t**4/5 - 12*t**3/5 + 64*t/5.
-2*t*(t - 2)*(t + 4)**2/5
Factor l**5/4 - l**3 + l**2/2 + 3*l/4 - 1/2.
(l - 1)**3*(l + 1)*(l + 2)/4
Factor 5*l**5/7 - 48*l**4/7 + 15*l**3 + 50*l**2/7.
l**2*(l - 5)**2*(5*l + 2)/7
Find v, given that -2*v**2/3 - 592*v/3 = 0.
-296, 0
Factor s**3 - 32*s**2 + 308*s - 784.
(s - 14)**2*(s - 4)
Determine h so that 2*h**3/17 + 656*h**2/17 - 3318*h/17 + 3996/17 = 0.
-333, 2, 3
Factor -s**2/9 - 524*s/9 + 1052/9.
-(s - 2)*(s + 526)/9
Factor m**4 - 17*m**3/2 + 31*m**2/2 + 10*m.
m*(m - 5)*(m - 4)*(2*m + 1)/2
What is a in 192*a**3 - 106704*a**2 + 19766916*a - 1220607063 = 0?
741/4
What is l in -l**2 + 17*l + 200 = 0?
-8, 25
Factor 3*b**3 - 12*b**2 - 87*b - 72.
3*(b - 8)*(b + 1)*(b + 3)
Let i**3 - 35*i**2/4 - 49*i/4 - 5/2 = 0. Calculate i.
-1, -1/4, 10
Determine t, given that -4*t**3 + 32*t**2 - 68*t + 40 = 0.
1, 2, 5
Factor 4*s**2 - 144*s + 1296.
4*(s - 18)**2
Determine z, given that 6*z**3 - 28*z**2 + 40*z - 16 = 0.
2/3, 2
Factor -a**2/7 - 89*a/7.
-a*(a + 89)/7
Factor 3*x**4 - 12*x**3 + 9*x**2 + 12*x - 12.
3*(x - 2)**2*(x - 1)*(x + 1)
Factor -4*h**3 - 4*h**2 + 304*h - 560.
-4*(h - 7)*(h - 2)*(h + 10)
Determine c so that -350*c**4/13 - 2770*c**3/13 + 3284*c**2/13 - 1208*c/13 + 144/13 = 0.
-9, 2/7, 2/5
Let w**2/5 + 58*w/5 + 792/5 = 0. What is w?
-36, -22
Let 7*y**5/2 - 39*y**4/4 + 17*y**3/4 + 3*y**2 - y = 0. What is y?
-1/2, 0, 2/7, 1, 2
Let 2*a**3 + 152*a**2 + 2888*a = 0. What is a?
-38, 0
What is c in 2*c**4/3 - 8*c**3/3 + 4*c**2 - 8*c/3 + 2/3 = 0?
1
Determine h so that -3*h**3 - 861*h**2 - 68445*h - 929475 = 0.
-135, -17
Suppose -3*f**5/2 + 83*f**4 - 185*f**3 - 30*f**2 + 373*f/2 - 53 = 0. What is f?
-1, 1/3, 1, 2, 53
Determine m, given that -20*m**3 + 4*m**2 = 0.
0, 1/5
Determine d so that 2*d**4/3 - 16*d**3/9 - 4*d**2/3 + 16*d/9 + 2/3 = 0.
-1, -1/3, 1, 3
Factor v**4/6 - v**3/3 - v**2/2 + 2*v/3 + 2/3.
(v - 2)**2*(v + 1)**2/6
Factor -3*m**4 + 24*m**3 + 30*m**2 - 24*m - 27.
-3*(m - 9)*(m - 1)*(m + 1)**2
Factor -l**3/9 - 463*l**2/9 - 17941*l/3 - 5929.
-(l + 1)*(l + 231)**2/9
Factor -4*y**5 + 20*y**4 + 308*y**3 - 1764*y**2.
-4*y**2*(y - 7)**2*(y + 9)
Suppose -q**2/4 - 19*q/2 - 48 = 0. What is q?
-32, -6
Solve -3*b**3/8 - 81*b**2/8 + 21*b/2 = 0 for b.
-28, 0, 1
What is y in -2*y**5/5 + 8*y**4/5 + 16*y**3/5 - 28*y**2/5 - 14*y/5 + 4 = 0?
-2, -1, 1, 5
Find k such that -k**3/2 - 11*k**2/2 - 15*k/2 + 27/2 = 0.
-9, -3, 1
Factor -2*d**3/5 + 68*d**2/5 - 248*d/5 + 48.
-2*(d - 30)*(d - 2)**2/5
Let -3*f**4 + 24*f**3 + 3*f**2 - 24*f = 0. Calculate f.
-1, 0, 1, 8
Factor -3*o**3/2 + 213*o**2 - 843*o/2 + 210.
-3*(o - 140)*(o - 1)**2/2
Determine i, given that 6*i**5/5 + 8*i**4/5 - 4*i**3/5 - 8*i**2/5 - 2*i/5 = 0.
-1, -1/3, 0, 1
Factor -a**3 - 91*a**2 + a + 91.
-(a - 1)*(a + 1)*(a + 91)
What is f in -39*f**5 + 54*f**4 - 15*f**3 = 0?
0, 5/13, 1
Find b, given that 20*b**2/3 - 76*b/3 + 16 = 0.
4/5, 3
Factor -2*c**5/3 + 220*c**4 - 2620*c**3/3 + 3920*c**2/3 - 870*c + 652/3.
-2*(c - 326)*(c - 1)**4/3
Determine z, given that 3*z**2/5 + 27*z/5 + 54/5 = 0.
-6, -3
Factor -27*v**3 - 546*v**2 - 2820*v - 600.
-3*(v + 10)**2*(9*v + 2)
Find i such that 71*i**3 + 570*i**2 - 623*i - 18 = 0.
-9, -2/71, 1
Factor l**5 + 5*l**4 - 19*l**3 - 65*l**2 + 150*l.
l*(l - 3)*(l - 2)*(l + 5)**2
Factor -u**2 + 28*u - 192.
-(u - 16)*(u - 12)
Suppose -4*o**4/3 + 3152*o**3/3 - 310472*o**2 + 122325968*o/3 - 6024553924/3 = 0. Calculate o.
197
Factor 4*u**2/9 + 15616*u/3 + 15241216.
4*(u + 5856)**2/9
Determine u so that 109*u**3/4 + 54*u**2 + 105*u/4 - 1/2 = 0.
-1, 2/109
What is l in -2*l**2 - 374*l + 756 = 0?
-189, 2
Let -5*o**4 - 200*o**3 - 2355*o**2 - 7020*o - 4860 = 0. What is o?
-18, -3, -1
Factor -s**4 + 30*s**3 - 276*s**2 + 754*s - 507.
-(s - 13)**2*(s - 3)*(s - 1)
Factor -n**2/5 - 59*n/5.
-n*(n + 59)/5
Factor f**4/10 - f**3/10 - 3*f**2/10 + f/10 + 1/5.
(f - 2)*(f - 1)*(f + 1)**2/10
Suppose -t**5/3 - 115*t**4/3 - 34*t**3 + 1396*t**2/3 + 3208*t/3 + 608 = 0. What is t?
-114, -2, -1, 4
Factor 3*a**2/2 - 31*a/2 + 5.
(a - 10)*(3*a - 1)/2
Find o, given that 4*o**5 + 40*o**4 + 48*o**3 - 344*o**2 - 692*o - 336 = 0.
-7, -4, -1, 3
Determine l so that -2*l**4/9 + 56*l**3/9 + 62*l**2/9 - 116*l/9 = 0.
-2, 0, 1, 29
Determine d so that 2*d**4/7 - 92*d**3/7 + 346*d**2/7 - 424*d/7 + 24 = 0.
1, 2, 42
Suppose 3*i**4/4 + 273*i**3/2 + 22563*i**2/4 - 51870*i + 108300 = 0. What is i?
-95, 4
Find o, given that 5*o**3 - 60*o**2 + 100*o = 0.
0, 2, 10
Factor -b**3 + 129*b**2 - 504*b + 500.
-(b - 125)*(b - 2)**2
Suppose a**3 - 147*a**2 + 5328*a + 5476 = 0. What is a?
-1, 74
Solve -5*a**2 - 25*a + 750 = 0 for a.
-15, 10
Factor 5*r**4 - 73*r**3 - 30*r**2.
r**2*(r - 15)*(5*r + 2)
Factor -h**2/4 + 1237*h/2 - 1530169/4.
-(h - 1237)**2/4
Factor -2*o**3/5 + 6*o**2/5 + 32*o/5 + 24/5.
-2*(o - 6)*(o + 1)*(o + 2)/5
Factor -3*z**4 + 885*z**3 - 1758*z**2.
-3*z**2*(z - 293)*(z - 2)
Solve w**2 + 151*w = 0.
-151, 0
Factor r**5/2 + 79*r**4 + 8425*r**3/2 + 78494*r**2 + 144664*r + 70304.
(r + 1)**2*(r + 52)**3/2
Find j, given that -4225*j**2/8 + 65*j/4 - 1/8 = 0.
1/65
Factor r**3/2 - 178*r**2 + 29829*r/2 + 167445.
(r - 183)**2*(r + 10)/2
Suppose -32*h**3/11 - 10672*h**2/11 + 5342*h/11 - 668/11 = 0. What is h?
-334, 1/4
Find d such that -2*d**5 - 264*d**4 - 8970*d**3 - 16900*d**2 = 0.
-65, -2, 0
Factor 4*j**4 + 44*j**3 - 756*j**2 + 1764*j.
4*j*(j - 7)*(j - 3)*(j + 21)
Factor 3*n**4 - 21*n**3 + 42*n**2 - 24*n.
3*n*(n - 4)*(n - 2)*(n - 1)
Let 3*p**4 - 369*p**3 + 10773*p**2 + 35721*p = 0. What is p?
-3, 0, 63
Factor -5*r**5 + 85*r**4 + 185*r**3 + 95*r**2.
-5*r**2*(r - 19)*(r + 1)**2
Solve -3*n**2/7 - 864*n/7 + 4395/7 = 0.
-293, 5
Factor -z**4 - 59*z**3 - 474*z**2 - 1216*z - 800.
-(z + 1)*(z + 4)**2*(z + 50)
Factor 2*b**3/11 - 422*b**2/11 + 25728*b/11 - 350208/11.
2*(b - 96)**2*(b - 19)/11
What is y in -3*y**3 + 102*y**2 - 687*y - 792 = 0?
-1, 11, 24
Factor 2*g**2 + 360*g + 16200.
2*(g + 90)**2
What is g in 25*g**4/2 + 1995*g**3/2 + 1767*g**2 + 938*g + 156 = 0?
-78, -1, -2/5
Find x, given that -2*x**3/9 - 2*x**2/9 + 4*x/9 = 0.
-2, 0, 1
Solve -j**2 + 1662*j - 690561 = 0.
831
Factor m**5 - 3*m**4 - 13*m**3 + 47*m**2 - 48*m + 16.
(m - 4)*(m - 1)**3*(m + 4)
Factor -3*n**3 - 33*n**2 - 57*n - 27.
-3*(n + 1)**2*(n + 9)
Determine x so that 