6*a**2 = 0. Calculate a.
0, 1, 12
Determine w so that -3*w**4/5 + 27*w**3/5 + 114*w**2 = 0.
-10, 0, 19
Factor 5*j**3/3 - 130*j**2/3 + 125*j/3.
5*j*(j - 25)*(j - 1)/3
Factor 18*r**2 - 57*r - 60.
3*(r - 4)*(6*r + 5)
Factor 2*b**4 - 34*b**3 + 122*b**2 + 234*b - 324.
2*(b - 9)**2*(b - 1)*(b + 2)
Factor 2*f**5/21 + 172*f**4/21 + 4178*f**3/21 + 6880*f**2/7 + 9600*f/7.
2*f*(f + 3)**2*(f + 40)**2/21
Let -2*x**4 - 1334*x**3 + 2676*x**2 = 0. What is x?
-669, 0, 2
Factor d**4/3 - 145*d**3 + 21025*d**2 - 3048625*d/3.
d*(d - 145)**3/3
What is v in v**5/5 + 8*v**4/5 + 14*v**3/5 - 4*v**2 - 39*v/5 + 36/5 = 0?
-4, -3, 1
Find p, given that -24*p**3 + 531*p**2 + 1734*p - 225 = 0.
-3, 1/8, 25
Solve -3*m**4 + 198*m**3 - 3639*m**2 + 12276*m - 11532 = 0.
2, 31
Solve 2*v**4/3 + 10*v**3/3 + 4*v**2 = 0 for v.
-3, -2, 0
Determine i so that 2*i**5 - 18*i**4 + 18*i**3 + 82*i**2 - 84*i = 0.
-2, 0, 1, 3, 7
Factor -4*s**3/3 + 296*s**2/3 + 4*s/3 - 296/3.
-4*(s - 74)*(s - 1)*(s + 1)/3
What is y in -y**3/2 + 87*y**2/2 - 924*y - 968 = 0?
-1, 44
Factor -5*n**2 - 275*n + 280.
-5*(n - 1)*(n + 56)
Factor -4*t**2/3 + 160*t/3 - 52.
-4*(t - 39)*(t - 1)/3
Factor 4*r**4 - 304*r**3 + 6352*r**2 - 21888*r + 20736.
4*(r - 36)**2*(r - 2)**2
Suppose -5*h**5 + 200*h**4 + 5*h**3 - 200*h**2 = 0. What is h?
-1, 0, 1, 40
What is r in 12*r**3 + 71*r**2 - 193*r + 56 = 0?
-8, 1/3, 7/4
Determine y so that y**4 + 10*y**3 - 15*y**2 - 40*y + 44 = 0.
-11, -2, 1, 2
What is n in -2*n**2/15 + 18*n/5 + 148/3 = 0?
-10, 37
Factor -20352*n**5 - 60288*n**4 - 66384*n**3 - 31752*n**2 - 10287*n/2 + 243.
-3*(4*n + 3)**4*(53*n - 2)/2
Let 4*j**4/5 + 22*j**3/3 + 102*j**2/5 + 96*j/5 + 8/3 = 0. Calculate j.
-5, -2, -1/6
Solve -t**5 - 2*t**4 + 13*t**3 - 10*t**2 = 0 for t.
-5, 0, 1, 2
Let t**5/6 + 2*t**4/3 - 5*t**3/3 - 32*t**2/3 - 29*t/2 - 6 = 0. Calculate t.
-3, -1, 4
Factor 2*q**2 - 64*q - 136.
2*(q - 34)*(q + 2)
Factor i**2/6 - 28*i - 170/3.
(i - 170)*(i + 2)/6
Find y such that -34*y**3/3 + 1132*y**2 - 28200*y - 10000/3 = 0.
-2/17, 50
Let -5*t**5 - 25*t**4 - 35*t**3 - 15*t**2 = 0. What is t?
-3, -1, 0
Let 3*k**2 + 30*k - 33 = 0. Calculate k.
-11, 1
Determine b so that 2*b**5/15 + 2*b**4/15 - 2*b**3/5 - 2*b**2/3 - 4*b/15 = 0.
-1, 0, 2
Suppose 11*b**5 - 75*b**4 - 25*b**3 + 75*b**2 + 14*b = 0. Calculate b.
-1, -2/11, 0, 1, 7
Find a, given that 2*a**4 - 116*a**3 + 226*a**2 - 112*a = 0.
0, 1, 56
Solve -m**4/2 - 27*m**3/2 - 195*m**2/2 - 169*m/2 = 0.
-13, -1, 0
Factor l**3 - 240*l**2 + 19200*l - 512000.
(l - 80)**3
Factor a**3/10 - 11*a**2/10 - 41*a/10 + 39/2.
(a - 13)*(a - 3)*(a + 5)/10
Find r such that r**5/2 - 4*r**4 + 3*r**3 + 4*r**2 - 7*r/2 = 0.
-1, 0, 1, 7
Factor 4*n**3 - 40*n**2 - 44*n.
4*n*(n - 11)*(n + 1)
Solve -3*x**3/5 + 78*x**2/5 + 168*x/5 = 0.
-2, 0, 28
Determine j so that 11*j**3/5 + 15*j**2 - 102*j/5 + 16/5 = 0.
-8, 2/11, 1
Factor x**3 - 257*x**2 + 256*x.
x*(x - 256)*(x - 1)
Solve -2*w**2/13 - 132*w/13 = 0.
-66, 0
Determine k, given that 3*k**2/8 + 13299*k/4 + 58954467/8 = 0.
-4433
Determine p so that -2*p**3/15 + 148*p**2/15 - 526*p/3 + 828/5 = 0.
1, 27, 46
Factor -2*l**3 + 44*l**2/5 - 16*l/5.
-2*l*(l - 4)*(5*l - 2)/5
Solve 2*c**5/11 + 8*c**4/11 - 12*c**3/11 - 64*c**2/11 - 70*c/11 - 24/11 = 0 for c.
-4, -1, 3
Factor 2*x**3 - 16*x**2 + 40*x - 32.
2*(x - 4)*(x - 2)**2
Factor 3*g**3/2 - 333*g**2 + 1944*g.
3*g*(g - 216)*(g - 6)/2
Let 8*d**4 + 68*d**3 - 40*d**2 - 36*d = 0. Calculate d.
-9, -1/2, 0, 1
Factor 5*g**2 - 270*g + 1000.
5*(g - 50)*(g - 4)
Factor 10*u**3 + 165*u**2 + 540*u.
5*u*(u + 12)*(2*u + 9)
Determine q so that 2*q**5/13 + 186*q**4/13 + 3830*q**3/13 - 23226*q**2/13 + 19208*q/13 = 0.
-49, 0, 1, 4
Factor 2*t**3 + 2*t**2 - 2*t - 2.
2*(t - 1)*(t + 1)**2
Find l, given that 2*l**2/7 - 178*l/7 + 680/7 = 0.
4, 85
Factor 2*l**3 - 334*l**2 - 2058*l - 3114.
2*(l - 173)*(l + 3)**2
What is t in -2*t**4/3 - 232*t**3 - 1384*t**2/3 = 0?
-346, -2, 0
Find a such that -3*a**5/5 - 171*a**4/5 - 2808*a**3/5 - 2028*a**2 = 0.
-26, -5, 0
Suppose -20*f**5 - 5*f**4 + 120*f**3 + 190*f**2 + 100*f + 15 = 0. What is f?
-1, -1/4, 3
Suppose 2*d**2/3 + 380*d/3 + 736 = 0. What is d?
-184, -6
Solve -32*y**3/7 - 52*y**2 - 132*y/7 = 0 for y.
-11, -3/8, 0
Determine i so that 5*i**3 + 185*i**2 + 355*i + 175 = 0.
-35, -1
Factor 3*x**3 - 120*x**2 + 231*x - 114.
3*(x - 38)*(x - 1)**2
Determine l so that -4*l**5/5 + 2*l**4/5 + 38*l**3/5 + 62*l**2/5 + 38*l/5 + 8/5 = 0.
-1, -1/2, 4
Factor -u**4/2 - 5*u**3 + 54*u**2 + 341*u - 4235/2.
-(u - 7)*(u - 5)*(u + 11)**2/2
Let -3*k**5 - 36*k**4 + 231*k**3 - 396*k**2 + 204*k = 0. What is k?
-17, 0, 1, 2
Factor g**4/4 - 55*g**3/4.
g**3*(g - 55)/4
Let 2*m**2/15 - 6/5 = 0. What is m?
-3, 3
Factor -4*g**3/7 + 780*g**2/7 - 50700*g/7 + 1098500/7.
-4*(g - 65)**3/7
Solve -87*a**3 + 3303*a**2/2 + 3537*a/2 + 30 = 0 for a.
-1, -1/58, 20
Factor -j**2/3 - 764*j/3 - 145924/3.
-(j + 382)**2/3
Factor 3*u**2/4 + 6*u - 15.
3*(u - 2)*(u + 10)/4
Factor -4*r**3 + 172*r**2 - 1100*r - 17500.
-4*(r - 25)**2*(r + 7)
Factor 55*k**2 + 285*k + 50.
5*(k + 5)*(11*k + 2)
Let 3*i**3/2 + 3*i**2 - 105*i/2 = 0. Calculate i.
-7, 0, 5
Let 4*h**2 - 132*h + 128 = 0. Calculate h.
1, 32
Suppose 80*l**4 - 24740*l**3 - 18585*l**2 - 18595*l/4 - 775/2 = 0. What is l?
-1/4, 310
What is f in 4*f**4/3 + 16*f**3/3 + 20*f**2/3 + 8*f/3 = 0?
-2, -1, 0
Suppose -2*n**5/11 - 6*n**4 + 8*n**3/11 + 24*n**2 = 0. What is n?
-33, -2, 0, 2
Find f such that -f**4/2 - 3*f**3/2 + 3*f**2/2 + 11*f/2 + 3 = 0.
-3, -1, 2
Factor 2*d**2/3 + 11036*d/3 + 15224162/3.
2*(d + 2759)**2/3
Factor 55*u**4/6 - 5*u**3/3.
5*u**3*(11*u - 2)/6
What is u in 4*u**3 - 2844*u**2 + 674028*u - 53248212 = 0?
237
What is r in 8*r**5/9 + 26*r**4/3 - 28*r**3/9 - 26*r**2/3 + 20*r/9 = 0?
-10, -1, 0, 1/4, 1
Let 2*f**3/7 - 3130*f**2/7 + 175168*f - 1223048/7 = 0. What is f?
1, 782
Factor h**2/2 - 17*h/2 - 19.
(h - 19)*(h + 2)/2
Factor -3*u**2/4 - 6423*u/2 - 13751643/4.
-3*(u + 2141)**2/4
Suppose -3*l**3 + 48*l**2 + 108*l = 0. Calculate l.
-2, 0, 18
Determine c, given that -74*c**4 + 145*c**3 + 80*c**2 - 145*c - 6 = 0.
-1, -3/74, 1, 2
Solve 3*a**2/2 + 9*a/2 - 270 = 0.
-15, 12
Factor -2*n**2 - 16*n - 24.
-2*(n + 2)*(n + 6)
Determine j, given that -5*j**5 + 155*j**4 - 1195*j**3 + 1945*j**2 - 900*j = 0.
0, 1, 9, 20
Determine k so that k**2 - 25*k/3 = 0.
0, 25/3
What is q in -2*q**4/3 + 8*q**3/3 + 74*q**2/3 - 80*q/3 = 0?
-5, 0, 1, 8
Factor 27*s**4 + 1602*s**3 + 23223*s**2 - 16020*s + 2700.
3*(s + 30)**2*(3*s - 1)**2
Factor s**3/2 - 11*s**2/2 + 4*s + 10.
(s - 10)*(s - 2)*(s + 1)/2
Factor -5*o**3 - 20*o**2 + 60*o.
-5*o*(o - 2)*(o + 6)
Factor s**2 - 681*s + 1358.
(s - 679)*(s - 2)
What is y in -2*y**3/9 + 68*y**2/3 + 46*y + 208/9 = 0?
-1, 104
Let 3*s**5 - 3*s**4 - 33*s**3 + 87*s**2 - 78*s + 24 = 0. Calculate s.
-4, 1, 2
Find h such that -h**2/4 - 495*h/2 - 245025/4 = 0.
-495
Factor -2*i**2/5 - 172*i/5 - 3698/5.
-2*(i + 43)**2/5
Let -3*m**4 + 45*m**3 + 165*m**2 - 45*m - 162 = 0. What is m?
-3, -1, 1, 18
Let -3*s**4/4 + 21*s**3/2 + 54*s**2 = 0. What is s?
-4, 0, 18
Factor -156*t**2 + 2660*t - 136.
-4*(t - 17)*(39*t - 2)
What is i in -5*i**4/12 - 17*i**3/12 + 89*i**2/2 + 18*i = 0?
-12, -2/5, 0, 9
Find w such that w**4 - 9*w**3 - 97*w**2 - 231*w - 144 = 0.
-3, -1, 16
Suppose 2*v**3 + 10*v**2 + 12*v = 0. What is v?
-3, -2, 0
Factor -z**5/4 + 27*z**4/4 - 75*z**3/4 + 73*z**2/4 - 6*z.
-z*(z - 24)*(z - 1)**3/4
Factor -2*x**2/17 + 1076*x/17 - 144722/17.
-2*(x - 269)**2/17
Find z such that -5*z**4 - 610*z**3 - 24600*z**2 - 319390*z + 344605 = 0.
-41, 1
Solve -9*h**3/2 + 363*h**2 + 1737*h/2 + 249 = 0 for h.
-2, -1/3, 83
Factor 5*o**2 - 3135*o - 3140.
5*(o - 628)*(o + 1)
Determine g, given that g**2/5 - 222*g/5 + 221/5 = 0.
1, 221
Suppose 4*z**2/7 - 928*z/7 + 53824/7 = 0. Calculate z.
116
Let -2*c**2/5 + 3018*c/5 + 604 = 0. Calculate c.
-1, 1510
Factor -2*v**3 + 4*v**2 + 10*v - 12.
-2*(v - 3)*(v - 1)*(v + 2)
Find j, given that -5*j**3 - 35*j**2 + 5*j + 35 = 0.
-7, -1, 1
Factor -5*s**2 + 4500.
-5*(s - 30)*(s + 30)
Find q such that 2*q**2/9 - 10*q - 92/9 = 0.
-1, 46
Factor r**2/11 - 189*r/11 + 188/11.
(r - 188)*(r - 1)/11
What is a in 2*a**3/5 - 54*a**2/5 + 336*a/5 + 392/5 = 0?
-1, 14
Let -2*s**3 - 6*s**2 + 20*s = 0. Calculate s.
-5, 0, 2
Solve -3*d**2 + 10092*d - 8487372 = 0 for d.
1682
Factor -m**2/2 + 9*m - 36.
-(m - 12)*(m