**2*(11*j + 2)
Factor -3*y**3 + 1746*y**2/7 - 5076*y - 4536.
-3*(y - 42)**2*(7*y + 6)/7
Find a such that 18*a**2/13 - 18*a/13 - 20/13 = 0.
-2/3, 5/3
Factor -5*b**3/3 - 35*b**2/3 - 55*b/3 - 25/3.
-5*(b + 1)**2*(b + 5)/3
Factor -2*c**2/13 + 226*c/13 - 1284/13.
-2*(c - 107)*(c - 6)/13
Let -4*z**2 - 48*z = 0. Calculate z.
-12, 0
Factor -f**4/3 + 902*f**3/3 - 67499*f**2 - 407704*f/3 - 204304/3.
-(f - 452)**2*(f + 1)**2/3
Factor 5*g**3 - 1390*g**2 - 5*g + 1390.
5*(g - 278)*(g - 1)*(g + 1)
Suppose -2*w**5/7 + 2*w**4 + 260*w**3/7 - 284*w**2/7 - 258*w/7 + 270/7 = 0. Calculate w.
-9, -1, 1, 15
Find r such that 2*r**4 + 968*r**3 + 114188*r**2 - 711480*r + 1080450 = 0.
-245, 3
Suppose 5*v**2 + 45*v - 110 = 0. Calculate v.
-11, 2
Factor 38*q**4/7 + 4*q**3/7.
2*q**3*(19*q + 2)/7
Factor 5*h**2 - 970*h + 965.
5*(h - 193)*(h - 1)
Factor 5*o**4/6 + 35*o**3/6 + 10*o**2 - 10*o/3 - 40/3.
5*(o - 1)*(o + 2)**2*(o + 4)/6
Find d, given that 5*d**5 + 195*d**4 + 2325*d**3 + 8245*d**2 + 8670*d = 0.
-17, -3, -2, 0
Solve -2*q**5/7 + 2*q**4/7 + 4*q**3/7 - 4*q**2/7 - 2*q/7 + 2/7 = 0.
-1, 1
Solve -g**2/3 - 190*g/3 + 191/3 = 0.
-191, 1
Factor 35*v**2 - 510*v + 280.
5*(v - 14)*(7*v - 4)
Find v such that 3*v**5 - 21*v**4 - 18*v**3 + 246*v**2 + 15*v - 225 = 0.
-3, -1, 1, 5
Let -4*m**3 + 12*m - 8 = 0. Calculate m.
-2, 1
Factor 2*f**3/9 - 118*f**2/9 - 794*f/9 + 910/9.
2*(f - 65)*(f - 1)*(f + 7)/9
Find p, given that 2*p**3/7 + 50*p**2/7 + 374*p/7 + 726/7 = 0.
-11, -3
Factor 4*m**3 - 96*m**2 + 468*m + 1352.
4*(m - 13)**2*(m + 2)
Solve -2*l**5/23 - 48*l**4/23 - 318*l**3/23 + 32*l**2/23 + 4224*l/23 = 0.
-11, -8, 0, 3
Factor 34*j**3 + 270*j**2 - 1116*j.
2*j*(j - 3)*(17*j + 186)
Suppose 2*b**2/5 - 4*b/5 - 6 = 0. Calculate b.
-3, 5
Factor 5*i**5 - 2185*i**4 + 241970*i**3 - 712850*i**2 + 708505*i - 235445.
5*(i - 217)**2*(i - 1)**3
Let 21*k**4/5 + 6*k**3/5 - 84*k**2/5 - 24*k/5 = 0. Calculate k.
-2, -2/7, 0, 2
Factor 4*c**3 - 24*c**2 - 28*c + 240.
4*(c - 5)*(c - 4)*(c + 3)
Factor 3*m**2/5 - 198*m/5 + 3267/5.
3*(m - 33)**2/5
Determine m, given that -m**2/5 + 5184*m/5 - 6718464/5 = 0.
2592
Suppose -16*g**4/5 + 12*g**3 + 128*g**2/5 - 132*g/5 - 8 = 0. What is g?
-2, -1/4, 1, 5
Solve 4*f**2 - 68*f + 64 = 0 for f.
1, 16
Factor -2*q**2/9 + 62*q/9 - 116/9.
-2*(q - 29)*(q - 2)/9
Solve -2*c**4/5 - 126*c**3/5 - 2046*c**2/5 - 1922*c/5 = 0 for c.
-31, -1, 0
What is l in -3*l**5/2 + 2*l**4 + 8*l**3 + l**2 - 13*l/2 - 3 = 0?
-1, -2/3, 1, 3
Let 2*g**2 + 20*g + 18 = 0. Calculate g.
-9, -1
Suppose -2*z**3 - 144*z**2 - 2730*z - 4900 = 0. What is z?
-35, -2
Factor -3*g**4 - 48*g**3 - 234*g**2 - 240*g + 525.
-3*(g - 1)*(g + 5)**2*(g + 7)
Factor -k**2 + 24*k + 52.
-(k - 26)*(k + 2)
Suppose -2*i**4/3 + 10*i**3/3 + 8*i**2 - 24*i = 0. What is i?
-3, 0, 2, 6
Factor j**3/8 + 95*j**2/8 + 2303*j/8 + 2209/8.
(j + 1)*(j + 47)**2/8
Let -3*x**5 - 24*x**4 - 57*x**3 - 36*x**2 = 0. Calculate x.
-4, -3, -1, 0
What is v in -5*v**2 - 145*v + 150 = 0?
-30, 1
Determine d, given that -d**4/5 + 7*d**3/5 + 27*d**2/5 + 29*d/5 + 2 = 0.
-1, 10
Solve 3*a**5/2 + 597*a**4/2 + 2355*a**3/2 + 2931*a**2/2 + 585*a = 0 for a.
-195, -2, -1, 0
Suppose -4*n**3 + 672*n**2 - 6948*n + 6280 = 0. What is n?
1, 10, 157
Factor 338*w**2 - 52*w + 2.
2*(13*w - 1)**2
Let i**3/2 - 4*i**2 + 8*i = 0. Calculate i.
0, 4
Factor x**5/4 - x**4/2 - 3*x**3/4 + x**2 + x.
x*(x - 2)**2*(x + 1)**2/4
Find h such that 2*h**2/7 - 2836*h/7 + 1005362/7 = 0.
709
Factor 93*c**3 - 2033*c**2/3 + 188*c - 28/3.
(c - 7)*(9*c - 2)*(31*c - 2)/3
Let m**5/3 - 2*m**4 + 14*m**3/3 - 16*m**2/3 + 3*m - 2/3 = 0. What is m?
1, 2
Factor -2*z**2/9 - 4*z/9 + 2/3.
-2*(z - 1)*(z + 3)/9
Determine b, given that -34*b**5/7 - 200*b**4/7 - 146*b**3/7 + 20*b**2/7 = 0.
-5, -1, 0, 2/17
Suppose 4*n**4 - 24*n**3 - 48*n**2 + 152*n - 84 = 0. Calculate n.
-3, 1, 7
Factor 2*k**3/11 - 32*k**2/11 + 96*k/11.
2*k*(k - 12)*(k - 4)/11
Factor 5*s**4 + 1070*s**3 + 57245*s**2.
5*s**2*(s + 107)**2
Solve -v**3/5 + v**2 - 8*v/5 + 4/5 = 0 for v.
1, 2
Factor 4*t**3 - 324*t**2 + 6720*t - 6400.
4*(t - 40)**2*(t - 1)
Factor -3*r**3 - 42*r**2 + 1029*r - 4116.
-3*(r - 7)**2*(r + 28)
Factor -13*b**5/5 - 42*b**4/5 - 48*b**3/5 - 22*b**2/5 - 3*b/5.
-b*(b + 1)**3*(13*b + 3)/5
Factor 2*j**3 + 4*j**2.
2*j**2*(j + 2)
Factor -3*h**5 - 63*h**4 - 348*h**3 - 816*h**2 - 864*h - 336.
-3*(h + 1)*(h + 2)**3*(h + 14)
Determine n so that n**2/6 + 1662*n + 4143366 = 0.
-4986
Suppose 2*n**2/5 + 1258*n/5 - 252 = 0. What is n?
-630, 1
Factor -2*j**4 + 156*j**3 - 152*j**2 - 156*j + 154.
-2*(j - 77)*(j - 1)**2*(j + 1)
What is g in 5*g**5 - 5*g**4 - 55*g**3 - 35*g**2 + 50*g + 40 = 0?
-2, -1, 1, 4
Find y, given that -y**5/6 + y**4/3 + 13*y**3/6 + 5*y**2/3 = 0.
-2, -1, 0, 5
What is u in u**2 + 214*u + 11449 = 0?
-107
Factor 4*s**3 - 152*s**2 + 124*s + 888.
4*(s - 37)*(s - 3)*(s + 2)
Find k, given that -k**2/5 - 3*k/5 = 0.
-3, 0
Find d, given that -2*d**5/11 + 380*d**4/11 - 23810*d**3/11 + 475520*d**2/11 + 1024000*d/11 + 524288/11 = 0.
-1, 64
Factor -p**3/11 - 18*p**2/11 - 81*p/11.
-p*(p + 9)**2/11
Factor v**2/2 + 45*v + 2025/2.
(v + 45)**2/2
Factor 4*x**2/3 - 8*x - 64/3.
4*(x - 8)*(x + 2)/3
Determine y, given that -2*y**4 + 42*y**3/5 + 118*y**2/5 - 42*y/5 - 108/5 = 0.
-9/5, -1, 1, 6
Factor d**2/2 - 25*d/2 + 12.
(d - 24)*(d - 1)/2
Factor -2*g**3/5 - 4*g**2 - 48*g/5.
-2*g*(g + 4)*(g + 6)/5
Factor -o**4/6 + 31*o**3 - 3231*o**2/2 + 16182*o - 45414.
-(o - 87)**2*(o - 6)**2/6
What is y in -y**5/6 - y**4/6 + y**3/6 + y**2/6 = 0?
-1, 0, 1
Suppose 2*g**5 - 50*g**4 + 176*g**3 - 168*g**2 = 0. What is g?
0, 2, 21
Find r such that -100*r**5 + 680*r**4 - 1316*r**3 + 784*r**2 = 0.
0, 7/5, 4
Let 15*h**5 + 96*h**4 + 81*h**3 - 372*h**2 - 516*h - 144 = 0. Calculate h.
-4, -3, -1, -2/5, 2
Find l, given that -l**4/8 - 125*l**3/4 - 16117*l**2/8 - 15375*l/2 - 15129/2 = 0.
-123, -2
Find f such that -3*f**3 - 12*f**2 - 15*f - 6 = 0.
-2, -1
Solve 2*t**3 + 16*t**2 + 24*t = 0 for t.
-6, -2, 0
Factor j**2/5 - 21*j/5 - 396/5.
(j - 33)*(j + 12)/5
Determine y, given that 3*y**5 + 3*y**4 - 15*y**3 - 15*y**2 + 12*y + 12 = 0.
-2, -1, 1, 2
Factor -2*b**2 + 9220*b.
-2*b*(b - 4610)
Determine m so that 3*m**5/7 - 6*m**4 + 216*m**3/7 - 528*m**2/7 + 624*m/7 - 288/7 = 0.
2, 6
Let 84*h**5 + 872*h**4 - 648*h**3 - 784*h**2 + 564*h - 88 = 0. What is h?
-11, -1, 2/7, 1/3, 1
Solve -5*s**4 - 225*s**3 - 630*s**2 + 20*s + 840 = 0.
-42, -2, 1
Factor 3*q**4/2 - 123*q**3/2 - 3*q**2/2 + 123*q/2.
3*q*(q - 41)*(q - 1)*(q + 1)/2
Factor -3*d**5 - 150*d**4 - 432*d**3 - 426*d**2 - 141*d.
-3*d*(d + 1)**3*(d + 47)
Factor 130*c**3/3 - 971*c**2/6 - 275*c/6 - 2/3.
(c - 4)*(4*c + 1)*(65*c + 1)/6
Factor -3*h**2 - 789*h - 786.
-3*(h + 1)*(h + 262)
Factor -h**4/9 - 19*h**3/3 - 655*h**2/9 + 1519*h/3 - 3844/9.
-(h - 4)*(h - 1)*(h + 31)**2/9
Factor -3*x**2/5 - 2667*x/5 - 2664/5.
-3*(x + 1)*(x + 888)/5
Suppose 2*i**3/5 - 2*i**2 + 8*i/5 = 0. Calculate i.
0, 1, 4
Factor -2*k**2 - 12*k + 110.
-2*(k - 5)*(k + 11)
Determine g, given that -25*g**5/4 + 165*g**4/4 - 55*g**3/4 - 225*g**2/4 + 20*g + 15 = 0.
-1, -2/5, 1, 6
Let -4*b**2/7 - 4412*b/7 + 4416/7 = 0. What is b?
-1104, 1
Find j, given that 3*j**3/5 - 117*j**2/5 - 24*j = 0.
-1, 0, 40
Factor -15*p**3/4 - 27*p**2/2 + 99*p/4 - 15/2.
-3*(p - 1)*(p + 5)*(5*p - 2)/4
Let k**3/3 + 14*k**2/3 - 5*k = 0. Calculate k.
-15, 0, 1
Solve -h**3 + 77*h**2 - 1520*h + 1444 = 0 for h.
1, 38
Factor a**2/2 + 323*a + 645/2.
(a + 1)*(a + 645)/2
Suppose 4*j**5/11 - 218*j**4/11 + 522*j**3/11 - 94*j**2/11 - 526*j/11 + 312/11 = 0. What is j?
-1, 1, 3/2, 52
Factor -g**2 + 9*g - 14.
-(g - 7)*(g - 2)
Factor 3*a**2/5 - 264*a/5 + 261/5.
3*(a - 87)*(a - 1)/5
Factor -n**2/6 - 17*n/6 + 19/3.
-(n - 2)*(n + 19)/6
Factor o**2/2 - 43*o/2 - 22.
(o - 44)*(o + 1)/2
Factor -h**3 + 39*h**2 - 104*h - 144.
-(h - 36)*(h - 4)*(h + 1)
Let h**2/4 + 5953*h/2 + 35438209/4 = 0. What is h?
-5953
Determine w so that -2*w**3 - 58*w**2 + 340*w = 0.
-34, 0, 5
Factor -3*f**4/7 + 468*f**3/7 - 17778*f**2/7 - 36972*f/7 - 18723/7.
-3*(f - 79)**2*(f + 1)**2/7
Suppose 4*i**3 - 6*i**2 - 19*i/4 + 3/2 = 0. Calculate i.
-3/4, 1/4, 2
Factor z**5 + 13*z**4 + 48*z**3 + 68*z**2 + 32*z.
z*(z + 1)*(z + 2)**2*(z + 8)
Factor 2*o**3 + 6*o**2 - 48*o - 160.
2*(o - 5)*(o + 4)**2
Let -3*n**4/4 + 273*n**3/2 - 21243*n**2/4 - 84681*n = 0. What is n?
-12, 0, 97
Fact