u**3/2 + 2405*u**2/2 - 1464*u + 266 = 0. What is u?
2/9, 1, 266
Factor c**3/4 - 33*c**2/8 - 17*c/8.
c*(c - 17)*(2*c + 1)/8
Solve f**5 - 83*f**4/3 + 791*f**3/3 - 939*f**2 + 702*f = 0.
0, 1, 26/3, 9
Suppose -25*u**4 - 215*u**3 + 339*u**2 - 109*u + 10 = 0. What is u?
-10, 1/5, 1
Solve -5*v**2 - 67950*v - 230860125 = 0 for v.
-6795
Determine y, given that -27*y**2/5 + 8106*y/5 - 360 = 0.
2/9, 300
Let 18*d**4 - 1209*d**3 - 405*d**2 = 0. Calculate d.
-1/3, 0, 135/2
Suppose -20*c**4 + 94*c**3 - 30*c**2 - 198*c - 54 = 0. Calculate c.
-1, -3/10, 3
Factor y**2/5 + 698*y/5 + 121801/5.
(y + 349)**2/5
Solve 35*y**2 + 155*y = 0 for y.
-31/7, 0
Factor -3*g**3/2 + 5*g**2 + 94*g + 60.
-(g - 10)*(g + 6)*(3*g + 2)/2
Factor -4*w**5 - 36*w**4 - 84*w**3 - 76*w**2 - 24*w.
-4*w*(w + 1)**3*(w + 6)
Solve -6*z**4 + 2*z**3 + 72*z**2 + 72*z - 32 = 0 for z.
-2, 1/3, 4
Factor 3*a**3 + 468*a**2 + 18252*a.
3*a*(a + 78)**2
Suppose 11*a**2 - 79*a + 14 = 0. Calculate a.
2/11, 7
Solve -2*h**5/13 + 30*h**4/13 - 98*h**3/13 + 114*h**2/13 - 44*h/13 = 0 for h.
0, 1, 2, 11
Find l, given that -l**4/3 - 67*l**3/3 - 131*l**2/3 - 65*l/3 = 0.
-65, -1, 0
Solve 5*g**4 + 185*g**3 - 35*g**2 - 1325*g - 1110 = 0 for g.
-37, -2, -1, 3
Factor -2*l**2/9 - 772*l/9 - 74498/9.
-2*(l + 193)**2/9
Factor 2*t**3 + 4*t**2 - 14*t + 8.
2*(t - 1)**2*(t + 4)
Find b, given that 2*b**3 - 574*b**2 = 0.
0, 287
Suppose -2*r**2/13 - 628*r/13 = 0. What is r?
-314, 0
Find z, given that -2*z**2/15 + 6*z/5 = 0.
0, 9
Factor 8*l**2/9 + 206*l/9 - 52/9.
2*(l + 26)*(4*l - 1)/9
Find b, given that -3*b**5 - 33*b**4 - 45*b**3 + 285*b**2 + 588*b + 288 = 0.
-8, -4, -1, 3
Suppose -9*j**5/8 - 3*j**4/4 + 111*j**3/8 + 27*j**2 + 15*j/2 - 6 = 0. Calculate j.
-2, -1, 1/3, 4
Let 9*u**5/4 + 831*u**4/4 + 545*u**3/2 - 93*u**2/2 - 363*u/4 + 91/4 = 0. What is u?
-91, -1, 1/3
Solve 3*t**3/7 + 3*t**2 - 12*t + 60/7 = 0.
-10, 1, 2
Solve q**2/2 - 5*q/2 - 75 = 0 for q.
-10, 15
Factor b**5/2 - 7*b**4 + 32*b**3 - 48*b**2.
b**2*(b - 6)*(b - 4)**2/2
Let a**4/4 - a**3/4 - 3*a**2/4 + a/4 + 1/2 = 0. What is a?
-1, 1, 2
Factor 4*h**2 + 164*h - 720.
4*(h - 4)*(h + 45)
Solve -5*x**4 - 190*x**3 - 540*x**2 - 530*x - 175 = 0.
-35, -1
Solve 52*z**4/3 - 97*z**3 + 149*z**2/3 + 10*z = 0.
-2/13, 0, 3/4, 5
Solve -2*p**5 - 2*p**4 + 124*p**3 + 456*p**2 + 432*p = 0.
-6, -2, 0, 9
Find a such that -7*a**5/9 + 16*a**4/9 + a**3/3 - 16*a**2/9 + 4*a/9 = 0.
-1, 0, 2/7, 1, 2
Suppose 3*k**3 - 90*k**2 + 171*k - 84 = 0. Calculate k.
1, 28
Factor -2*r**2/17 - 112*r/17 + 114/17.
-2*(r - 1)*(r + 57)/17
Factor -8*l**2/9 + 2*l - 4/9.
-2*(l - 2)*(4*l - 1)/9
Factor -5*d**3 - 320*d**2 - 315*d.
-5*d*(d + 1)*(d + 63)
Factor -3*r**4/4 - 15*r**3/4 + 24*r**2 - 27*r.
-3*r*(r - 2)**2*(r + 9)/4
Solve 5*s**2 + 580*s = 0.
-116, 0
Factor -o**4/7 - 4*o**3/7 + 108*o**2/7 - 416*o/7 + 64.
-(o - 4)**2*(o - 2)*(o + 14)/7
Let -3*p**4/2 - 3*p**3/2 + 9*p**2 + 6*p - 12 = 0. What is p?
-2, 1, 2
Determine a so that 35*a**3 + 33*a**2 - 2*a = 0.
-1, 0, 2/35
Determine i, given that 2*i**3 - 36*i**2 - 338*i - 300 = 0.
-6, -1, 25
Suppose -5*r**5 + 85*r**4 - 290*r**3 + 410*r**2 - 265*r + 65 = 0. What is r?
1, 13
Factor 12*w**3 + 820*w**2 + 2612*w + 780.
4*(w + 3)*(w + 65)*(3*w + 1)
Find g such that 2*g**3/5 + 2*g**2/5 - 8*g/5 - 8/5 = 0.
-2, -1, 2
Find b, given that -5*b**2 + 995*b = 0.
0, 199
Solve -70*h**4 - 195*h**3 + 45*h**2 + 280*h - 60 = 0 for h.
-2, 3/14, 1
Factor -s**2 + 14*s + 95.
-(s - 19)*(s + 5)
Factor -v**2/3 - 8*v - 80/3.
-(v + 4)*(v + 20)/3
Solve -5*o**3 + 185*o**2 - 1430*o + 2160 = 0 for o.
2, 8, 27
Factor -2*s**3/5 + 216*s**2/5 - 6042*s/5 + 11236/5.
-2*(s - 53)**2*(s - 2)/5
Determine r, given that 93*r**3 + 99*r**2 + 6*r = 0.
-1, -2/31, 0
Factor k**3/4 + 21*k**2/2 - 87*k/4 + 11.
(k - 1)**2*(k + 44)/4
Let -12*u**5 + 7*u**4 + 11*u**3 - 7*u**2 + u = 0. What is u?
-1, 0, 1/4, 1/3, 1
Factor -3*f**5 + 72*f**4 - 498*f**3 + 792*f**2 - 363*f.
-3*f*(f - 11)**2*(f - 1)**2
Factor -k**3 + 546*k**2 - 73425*k - 302500.
-(k - 275)**2*(k + 4)
Factor y**3 - 19*y**2 + 16*y + 36.
(y - 18)*(y - 2)*(y + 1)
Factor -x**2 - 1569*x.
-x*(x + 1569)
Factor 2*y**2 - 4*y.
2*y*(y - 2)
What is h in -h**3/6 + 40*h**2/3 + h/6 - 40/3 = 0?
-1, 1, 80
Solve 3*y**3/5 + 24*y**2/5 - 3*y/5 - 24/5 = 0.
-8, -1, 1
Factor -x**3 - 195*x**2/2 + 299*x/2 + 99.
-(x - 2)*(x + 99)*(2*x + 1)/2
Let -30*z**3 + 125*z**2 + 130*z - 25 = 0. What is z?
-1, 1/6, 5
Solve 2*y**4 + 164*y**3 + 3194*y**2 - 6888*y + 3528 = 0 for y.
-42, 1
Let -4*s**5 + 8*s**4 + 24*s**3 - 16*s**2 - 52*s - 24 = 0. Calculate s.
-1, 2, 3
Solve -4*x**2 + 168*x - 1764 = 0 for x.
21
Let -i**4/6 - i**3/6 + 2*i**2 - 2*i/3 - 8/3 = 0. What is i?
-4, -1, 2
Factor -4*c**4/3 + 16*c**2 - 64*c/3.
-4*c*(c - 2)**2*(c + 4)/3
Suppose 8*v**3/9 + 146*v**2/9 + 4*v = 0. What is v?
-18, -1/4, 0
Determine r, given that 50*r**3/7 + 60*r**2/7 + 18*r/7 = 0.
-3/5, 0
Factor -4*h**4 - 3916*h**3 + 7844*h**2 - 3924*h.
-4*h*(h - 1)**2*(h + 981)
Factor s**5/6 + 5*s**4/6 - 20*s**2/3 - 40*s/3 - 8.
(s - 3)*(s + 2)**4/6
Factor -9*g**4 + 21*g**3 - 6*g**2.
-3*g**2*(g - 2)*(3*g - 1)
Factor -g**4/3 - 4*g**3/3 + g**2/3 + 4*g/3.
-g*(g - 1)*(g + 1)*(g + 4)/3
Factor 2*u**3 + 24*u**2 + 34*u - 60.
2*(u - 1)*(u + 3)*(u + 10)
Suppose s**4 + 96*s**3 + 363*s**2 - 460*s = 0. Calculate s.
-92, -5, 0, 1
Factor 4*u**5 - 24*u**4 + 20*u**3 + 48*u**2.
4*u**2*(u - 4)*(u - 3)*(u + 1)
Factor -x**4/3 - 25*x**3 - 73*x**2 - 217*x/3 - 24.
-(x + 1)**3*(x + 72)/3
Factor 2*u**3/13 - 14*u/13 + 12/13.
2*(u - 2)*(u - 1)*(u + 3)/13
Determine w, given that 5*w**2 + 830*w - 3400 = 0.
-170, 4
Factor -k**3 + 12*k**2 + 61*k + 48.
-(k - 16)*(k + 1)*(k + 3)
Determine f, given that -f**3/5 - 4*f**2/5 - f - 2/5 = 0.
-2, -1
Let -6*u**3/11 + 28*u**2/11 + 10*u/11 = 0. Calculate u.
-1/3, 0, 5
Suppose -2*d**3 - 52*d**2 - 98*d - 48 = 0. Calculate d.
-24, -1
Factor -2*x**2/9 - 116*x/3 + 350/9.
-2*(x - 1)*(x + 175)/9
Factor -4*g**4 - 64*g**3 - 156*g**2 + 16*g + 208.
-4*(g - 1)*(g + 2)**2*(g + 13)
Solve -3*o**5 - 24*o**4 - 60*o**3 - 48*o**2 = 0 for o.
-4, -2, 0
Solve -v**4 + 5*v**3 + v**2 - 5*v = 0 for v.
-1, 0, 1, 5
Determine s so that 15*s**5/2 + 457*s**4 + 1667*s**3/2 - 1292*s**2 + 354*s = 0.
-59, -3, 0, 2/5, 2/3
Solve 2*c**2/11 + 398*c/11 + 4836/11 = 0 for c.
-186, -13
Find d, given that 2*d**4/5 - 2*d**3/5 - 10*d**2 + 10*d = 0.
-5, 0, 1, 5
Find r, given that -5*r**4 + 1020*r**3 - 48870*r**2 - 321300*r - 496125 = 0.
-3, 105
Factor -2*r**3/5 + 11136*r**2/5 - 20668416*r/5 + 12786860032/5.
-2*(r - 1856)**3/5
Factor -2*i**3/9 + 4*i**2/3 - 2*i + 8/9.
-2*(i - 4)*(i - 1)**2/9
Find t such that t**3/9 + 7*t**2/3 - t/9 - 7/3 = 0.
-21, -1, 1
Find q such that 5*q**3 - 280*q**2 + 525*q + 810 = 0.
-1, 3, 54
Find m, given that m**3/4 + 33*m**2/4 + 30*m + 29 = 0.
-29, -2
Suppose y**4 + 20*y**3 + 54*y**2 + 52*y + 17 = 0. What is y?
-17, -1
Factor 5*t**3 - 22*t**2 - 17*t + 10.
(t - 5)*(t + 1)*(5*t - 2)
Solve 2*d**3 - 58*d**2 = 0 for d.
0, 29
Factor -2*o**3/15 - 24196*o**2/15 - 73180802*o/15.
-2*o*(o + 6049)**2/15
Let -m**4/4 + 11*m**3/4 - 35*m**2/4 + 25*m/4 = 0. Calculate m.
0, 1, 5
Determine f so that f**2/6 + 70*f/3 + 2450/3 = 0.
-70
Find n such that -n**3 - 58*n**2 - 312*n = 0.
-52, -6, 0
Solve -2*u**5 + 16*u**4 - 28*u**3 - 16*u**2 + 30*u = 0.
-1, 0, 1, 3, 5
Let -2*z**5/3 - 4*z**4 - 8*z**3 - 20*z**2/3 - 2*z = 0. What is z?
-3, -1, 0
Factor n**5/4 + 41*n**4/4 - 21*n**3/2.
n**3*(n - 1)*(n + 42)/4
Let 2*b**4 + 48*b**3 + 268*b**2 + 528*b + 306 = 0. Calculate b.
-17, -3, -1
Factor -z**2/6 + 14*z/3 + 31/2.
-(z - 31)*(z + 3)/6
Determine p, given that -84*p**3 + 5373*p**2 + 198*p - 384 = 0.
-2/7, 1/4, 64
Determine a, given that -a**4/4 + 5*a**3/2 + 11*a**2/4 = 0.
-1, 0, 11
Suppose 4*a**3 + 2168*a**2 + 291584*a - 591872 = 0. What is a?
-272, 2
Factor -2*k**3 - 62*k**2/5 + 112*k.
-2*k*(k - 5)*(5*k + 56)/5
Find i such that i**4/4 - 95*i**3/4 + 369*i**2/4 - 457*i/4 + 91/2 = 0.
1, 2, 91
Suppose 3*p**2 - 12294*p + 12595203 = 0. Calculate p.
2049
Let 4*j**5/5 + 6*j**4 - 14*j**3/5 - 78*j**2 - 70*j = 0. What is j?
-5, -1, 0, 7/2
Solve -5*b**3 + 425*b**2 - 1240*b + 820 = 0.
1, 2, 82
Factor 6*z**3/11 - 12*z**2/11 - 90*z/11.
6*z*(z - 5)*(z + 3)/11
Determine w so that 9*w**3 + 1380*w**2 - 923*w + 154 = 0.
-154, 1/3
Factor -25*w**2/3 + 665*w/3 + 90.
-5*(w - 27)*(5*w + 2)/3
Find k such that -3*k**4/4 - 3*k