, given that 2*o**5/5 + 6*o**4/5 - 10*o**3 + 10*o**2 + 48*o/5 - 56/5 = 0.
-7, -1, 1, 2
Factor 3*s**3/4 - 435*s**2/4 + 213*s/2 + 216.
3*(s - 144)*(s - 2)*(s + 1)/4
Factor 3*y**5/4 - 3*y**3/2 + 3*y/4.
3*y*(y - 1)**2*(y + 1)**2/4
Determine s, given that -5*s**5 - 5*s**4 + 105*s**3 + 65*s**2 - 400*s + 240 = 0.
-4, -3, 1, 4
What is s in -2*s**2 + 8080*s - 8160800 = 0?
2020
Suppose -u**4/2 + 7*u**3/2 + 9*u**2/2 - 7*u/2 - 4 = 0. What is u?
-1, 1, 8
Factor -5*z**3/4 - 33*z**2/2 - 9*z/4 + 13.
-(z + 1)*(z + 13)*(5*z - 4)/4
Solve -u**2/4 + 11*u/4 - 7 = 0 for u.
4, 7
Solve -15*f**5 + 123*f**4 - 327*f**3 + 237*f**2 + 198*f - 216 = 0 for f.
-4/5, 1, 2, 3
Solve 3*m**5 - 78*m**4 + 327*m**3 + 2340*m**2 + 2700*m = 0.
-2, 0, 15
Let -4*x**5/5 - 98*x**4/15 - 46*x**3/5 + 298*x**2/15 + 10*x - 40/3 = 0. Calculate x.
-5, -4, -1, 5/6, 1
What is v in -v**3/2 + 13*v**2/2 + 7*v = 0?
-1, 0, 14
Factor -x**2 - 17*x.
-x*(x + 17)
Factor 5*u**2 + 1330*u + 6525.
5*(u + 5)*(u + 261)
Suppose -a**3 - 19*a**2 + a + 19 = 0. Calculate a.
-19, -1, 1
Suppose 3*d**2/5 + 36*d/5 - 84/5 = 0. Calculate d.
-14, 2
Factor 2*b**2 - 106*b - 108.
2*(b - 54)*(b + 1)
Factor 2*h**2 + 322*h + 948.
2*(h + 3)*(h + 158)
Find u such that -2*u**3 + 50*u**2 - 176*u + 168 = 0.
2, 21
Factor -2*r**4/3 - 4*r**3/3 - 2*r**2/3.
-2*r**2*(r + 1)**2/3
Solve -3*q**2/2 + 13*q/2 - 5 = 0 for q.
1, 10/3
Factor -2*p**3/3 + 8*p**2/3 + 8*p.
-2*p*(p - 6)*(p + 2)/3
Factor -2*u**2/9 - 94*u/9 - 92/9.
-2*(u + 1)*(u + 46)/9
Let q**3 + 3*q**2 = 0. Calculate q.
-3, 0
Find d, given that d**3/4 - 39*d**2/4 + 8*d + 57 = 0.
-2, 3, 38
Suppose -2*b**2/7 - 2940*b - 7563150 = 0. What is b?
-5145
Factor -n**2/3 + 2*n/3 + 1.
-(n - 3)*(n + 1)/3
Suppose -3*m**2/2 + 135*m/2 + 375 = 0. What is m?
-5, 50
Factor -2*v**3 + 236*v**2 + 2*v - 236.
-2*(v - 118)*(v - 1)*(v + 1)
Factor 2*q**4 - 43*q**3 + 165*q**2 - 208*q + 68.
(q - 17)*(q - 2)**2*(2*q - 1)
Factor w**5/2 + 4*w**4 - w**3/2 - 34*w**2 - 42*w.
w*(w - 3)*(w + 2)**2*(w + 7)/2
Suppose -2*m**3 - 184*m**2 - 178*m + 364 = 0. Calculate m.
-91, -2, 1
Factor -k**3 - k**2 + 12*k.
-k*(k - 3)*(k + 4)
Find h, given that -2*h**4/5 + 20*h**3 - 94*h**2/5 - 196*h/5 = 0.
-1, 0, 2, 49
Let -5*w**3 + 75*w**2 - 70*w = 0. Calculate w.
0, 1, 14
Factor -c**3 + 4*c**2 + 7*c - 10.
-(c - 5)*(c - 1)*(c + 2)
Find p, given that -4*p**2 + 3012*p - 3008 = 0.
1, 752
Factor -12*x**4 - 980*x**3 + 328*x**2.
-4*x**2*(x + 82)*(3*x - 1)
Determine q so that -4*q**5 + 40*q**4 - 60*q**3 - 200*q**2 + 224*q = 0.
-2, 0, 1, 4, 7
Solve -24*f**4 - 236*f**3 + 352*f**2 + 476*f - 88 = 0.
-11, -1, 1/6, 2
Find h such that -5*h**2 + 115*h = 0.
0, 23
Let -2*c**5 - 136*c**4 - 2886*c**3 - 17360*c**2 + 20384*c = 0. Calculate c.
-28, -13, 0, 1
Factor m**4 + 57*m**3 + 56*m**2.
m**2*(m + 1)*(m + 56)
Determine m so that 2*m**4 - 272*m**3 + 8688*m**2 + 38080*m + 39200 = 0.
-2, 70
Factor -t**4 - 109*t**3 + 447*t**2 - 563*t + 226.
-(t - 2)*(t - 1)**2*(t + 113)
Determine h, given that -4*h**5/3 - 24*h**4 - 128*h**3 - 640*h**2/3 = 0.
-10, -4, 0
Factor 725*l**3 + 890*l**2 + 115*l - 50.
5*(l + 1)*(5*l + 2)*(29*l - 5)
Determine x, given that 4*x**5 + 72*x**4 + 372*x**3 + 320*x**2 - 768*x = 0.
-8, -3, 0, 1
Solve 4*g**2 - 16*g - 128 = 0 for g.
-4, 8
Solve -a**3 - 44*a**2 + 47*a + 90 = 0.
-45, -1, 2
Suppose -3*s**5 + 24*s**3 - 48*s = 0. What is s?
-2, 0, 2
Let 5*k**2 - 80*k - 180 = 0. What is k?
-2, 18
Determine y so that -98*y**5 - 2016*y**4 - 14162*y**3 - 36420*y**2 - 17528*y - 2352 = 0.
-7, -6, -2/7
Let -4*a**2/7 - 64*a/7 - 60/7 = 0. What is a?
-15, -1
Find o such that -5*o**3/2 - 15*o**2/2 + 45*o/2 - 25/2 = 0.
-5, 1
Factor -2*x**2/3 + 76*x/3 + 160/3.
-2*(x - 40)*(x + 2)/3
Factor 2*w**5/3 - 22*w**4/3 + 92*w**3/3 - 184*w**2/3 + 176*w/3 - 64/3.
2*(w - 4)*(w - 2)**3*(w - 1)/3
Factor -250*s**5 + 41200*s**4 + 49680*s**3 + 19904*s**2 + 2656*s.
-2*s*(s - 166)*(5*s + 2)**3
Solve -24*x**3/7 + 2*x**2 + 10*x/7 = 0.
-5/12, 0, 1
Factor -2*u**4/13 + 14*u**3/13 - 32*u**2/13 + 24*u/13.
-2*u*(u - 3)*(u - 2)**2/13
Suppose -2*m**2/11 + 6306*m/11 + 6308/11 = 0. What is m?
-1, 3154
Suppose -c**4/4 + 2*c**3 - 4*c**2 = 0. Calculate c.
0, 4
What is o in 4*o**5 - 16*o**4 - 180*o**3 - 80*o**2 + 656*o + 576 = 0?
-4, -2, -1, 2, 9
Solve -2*n**4/3 - 52*n**3 - 2714*n**2/3 + 4264*n - 13448/3 = 0.
-41, 2
Determine u, given that 4*u**5/3 - 1612*u**4/3 - 8*u**3/3 + 3224*u**2/3 + 4*u/3 - 1612/3 = 0.
-1, 1, 403
Determine z, given that z**5 - 11*z**3 - 18*z**2 - 8*z = 0.
-2, -1, 0, 4
Factor z**5 - 19*z**4 + 30*z**3 + 76*z**2 - 136*z.
z*(z - 17)*(z - 2)**2*(z + 2)
Factor -l**2 + 4900*l - 6002500.
-(l - 2450)**2
Let -3*s**4 + 2160*s**3 - 518400*s**2 + 41472000*s = 0. What is s?
0, 240
Factor 2*s**3 - 58*s**2 + 292*s + 352.
2*(s - 22)*(s - 8)*(s + 1)
Find o such that 12*o**2 + 646*o - 108 = 0.
-54, 1/6
Suppose n**3/3 - 14*n**2/3 - 155*n/3 + 56 = 0. What is n?
-8, 1, 21
Factor h**4 + 469*h**3 - 941*h**2 + 471*h.
h*(h - 1)**2*(h + 471)
Factor -3*y**4 - 33*y**3 - 72*y**2.
-3*y**2*(y + 3)*(y + 8)
Factor 2*z**3/15 - 314*z**2/15 + 3834*z/5 + 4374.
2*(z - 81)**2*(z + 5)/15
Factor 2*z**2/17 + 10*z/17 + 12/17.
2*(z + 2)*(z + 3)/17
Let -5*l**5/2 - 23*l**4/4 + 13*l**3 + 53*l**2/4 - 27*l + 9 = 0. What is l?
-3, -2, 1/2, 1, 6/5
Let -72*k**2 + 33*k - 3 = 0. Calculate k.
1/8, 1/3
Solve 2*w**2/7 - 6*w/7 + 4/7 = 0 for w.
1, 2
Suppose -2*o**4/3 - 554*o**3/3 - 36950*o**2/3 + 65518*o - 53016 = 0. What is o?
-141, 1, 4
Suppose -15*s**4 - 115*s**3 - 190*s**2 + 160*s + 160 = 0. Calculate s.
-4, -2/3, 1
Factor i**4 + 28*i**3 + 26*i**2 - 28*i - 27.
(i - 1)*(i + 1)**2*(i + 27)
Factor -2*a**3/9 - 2*a**2/9 + 74*a/9 - 70/9.
-2*(a - 5)*(a - 1)*(a + 7)/9
Factor 3*k**4 - 162*k**3 + 2016*k**2 + 4704*k.
3*k*(k - 28)**2*(k + 2)
Let j**2 - 4*j + 3 = 0. Calculate j.
1, 3
What is f in -28*f**2 - 148*f - 40 = 0?
-5, -2/7
Find g, given that -3*g**4/2 + 12*g**3 - 63*g**2/2 + 33*g - 12 = 0.
1, 2, 4
Let h**3/3 + h**2 - 8*h + 28/3 = 0. What is h?
-7, 2
Factor -4*l**2/5 + 12*l - 216/5.
-4*(l - 9)*(l - 6)/5
Factor -3*z**4 - 9*z**3 + 3*z**2 + 9*z.
-3*z*(z - 1)*(z + 1)*(z + 3)
Factor -5*q**2/4 - 160*q + 645/4.
-5*(q - 1)*(q + 129)/4
Find u, given that 3*u**2 + 5352*u + 2386992 = 0.
-892
Determine j so that j**2 + 2*j - 3 = 0.
-3, 1
What is o in -o**2/3 + o + 4/3 = 0?
-1, 4
Factor -3*t**2 + 726*t + 1464.
-3*(t - 244)*(t + 2)
Factor -2*f**3/13 + 76*f**2/13 - 146*f/13 + 72/13.
-2*(f - 36)*(f - 1)**2/13
Let 4*a**5 - 36*a**4 + 60*a**3 + 100*a**2 = 0. Calculate a.
-1, 0, 5
Suppose 2548*b**4/3 - 868*b**3/3 - 128*b**2/3 + 16*b = 0. Calculate b.
-3/13, 0, 2/7
Solve 2*l**4/7 + 24*l**3/7 + 72*l**2/7 = 0 for l.
-6, 0
Find g, given that 3*g**3 + 390*g**2 + 12675*g = 0.
-65, 0
Factor -k**4/2 + 13*k**3/2 - 9*k**2 - 80*k - 64.
-(k - 8)**2*(k + 1)*(k + 2)/2
Factor 9*b**4/2 - 183*b**3 + 3469*b**2/2 + 2562*b + 882.
(b - 21)**2*(3*b + 2)**2/2
Solve -20*v**4 - 55*v**3 + 15*v**2 + 80*v - 20 = 0.
-2, 1/4, 1
Factor 10*x**3 - 775*x**2 + 1890*x - 1125.
5*(x - 75)*(x - 1)*(2*x - 3)
Suppose -j**4/3 + 159*j**3 + 480*j**2 + 4*j/3 - 640 = 0. Calculate j.
-2, 1, 480
Factor 338*f**4 + 3432*f**3 + 6216*f**2 + 3136*f.
2*f*(f + 8)*(13*f + 14)**2
Factor -l**3 + 1953*l**2 - 1271403*l + 275894451.
-(l - 651)**3
Factor 722*f**3/11 - 13680*f**2/11 + 64800*f/11.
2*f*(19*f - 180)**2/11
Solve -72*x**5 - 954*x**4 - 1090*x**3 - 110*x**2 + 122*x + 24 = 0 for x.
-12, -1, -1/3, -1/4, 1/3
Solve 3*b**3/5 - 51*b**2/5 + 189*b/5 + 243/5 = 0.
-1, 9
Suppose -3*n**5/7 - 69*n**4/7 - 360*n**3/7 + 432*n**2/7 = 0. What is n?
-12, 0, 1
Factor -2*s**4/5 + 18*s**3/5 - 42*s**2/5 + 38*s/5 - 12/5.
-2*(s - 6)*(s - 1)**3/5
What is x in -3*x**5/7 - 9*x**4/7 + 33*x**3/7 + 9*x**2/7 - 30*x/7 = 0?
-5, -1, 0, 1, 2
Suppose 3*u**2 + 2364*u + 465708 = 0. Calculate u.
-394
Factor -5*s**2 + 505*s + 510.
-5*(s - 102)*(s + 1)
Solve -n**4 + 2*n**3 + 12*n**2 + 14*n + 5 = 0.
-1, 5
Determine m, given that -13*m**5/2 + 155*m**4/4 - 83*m**3 + 299*m**2/4 - 23*m - 1 = 0.
-1/26, 1, 2
What is m in -7*m**2/2 - 645*m/2 - 46 = 0?
-92, -1/7
Determine h, given that -h**2/6 + 5*h/6 - 1 = 0.
2, 3
What is y in -2*y**5 + 36*y**4 - 94*y**3 + 60*y**2 = 0?
0, 1, 2, 15
Factor 2*z**3/3 - 34*z**2/3 + 110*z/3 - 26.
2*(z - 13)*(z - 3)*(z - 1)/3
Factor 3*l**3 + 9*l**2 - 120*l - 252.
3*(l - 6)*(l + 2)*(l + 7)
What is t in 22*t**4 - 48*t**3 + 8*t**2 = 0?
