 0. Calculate j.
-30, 1
Factor -25*r**2 + 905*r - 180.
-5*(r - 36)*(5*r - 1)
Determine d, given that -3*d**2 - 276*d - 6348 = 0.
-46
Factor -3*h**4 + 204*h**3 + 852*h**2 + 864*h.
-3*h*(h - 72)*(h + 2)**2
Factor g**4/9 - 13*g**3/9 - 79*g**2/9 + 193*g/9 - 34/3.
(g - 17)*(g - 1)**2*(g + 6)/9
Factor -2*f**2/5 + 10*f - 132/5.
-2*(f - 22)*(f - 3)/5
Factor 3*u**5/2 - 3*u**4/2 - 18*u**3 + 24*u**2 + 48*u - 72.
3*(u - 2)**3*(u + 2)*(u + 3)/2
Find y, given that -2*y**2/11 + 8*y + 184/11 = 0.
-2, 46
Determine v so that -v**3/4 + 90*v**2 - 10800*v + 432000 = 0.
120
Factor p**4 + 6*p**3 - 22*p + 15.
(p - 1)**2*(p + 3)*(p + 5)
Factor -b**2/10 - 441*b/10 + 221/5.
-(b - 1)*(b + 442)/10
Solve -x**3/2 + 18*x**2 + x/2 - 18 = 0.
-1, 1, 36
Factor 3*d**2/8 - 309*d/4 + 615/8.
3*(d - 205)*(d - 1)/8
Factor 9*y**3/2 - 3*y**2/2 - 9*y/2 + 3/2.
3*(y - 1)*(y + 1)*(3*y - 1)/2
Factor 5*n**4 - 55*n**3 - 285*n**2 - 225*n.
5*n*(n - 15)*(n + 1)*(n + 3)
Let 3*b**4/2 - 39*b**3 + 234*b**2 + 156*b - 960 = 0. Calculate b.
-2, 2, 10, 16
Determine r, given that -r**2/4 - 37*r/2 + 75/4 = 0.
-75, 1
Determine j so that -3*j**2 + 384*j - 1488 = 0.
4, 124
Find y, given that -4*y**3/9 + 124*y**2/9 - 536*y/9 + 416/9 = 0.
1, 4, 26
What is n in -n**3/2 - 28*n**2 - 392*n = 0?
-28, 0
Factor -106*r**2/5 + 102*r/5 + 4/5.
-2*(r - 1)*(53*r + 2)/5
Let -m**3 - 102*m**2 - 2385*m + 11236 = 0. Calculate m.
-53, 4
Factor o**5/3 - 2*o**4/3 + o**3/3.
o**3*(o - 1)**2/3
Find j, given that -5*j**4 + 10*j**3 + 15*j**2 = 0.
-1, 0, 3
Solve l**4/6 - 5*l**3/6 + 5*l**2/6 + 5*l/6 - 1 = 0 for l.
-1, 1, 2, 3
Solve 2*y**4/5 - 2*y**3 - 72*y**2/5 + 544*y/5 - 896/5 = 0 for y.
-7, 4
Factor -v**5 - 8*v**4 - 4*v**3 + 26*v**2 + 37*v + 14.
-(v - 2)*(v + 1)**3*(v + 7)
Factor -i**2 - 15*i + 54.
-(i - 3)*(i + 18)
Factor j**2 + 43*j.
j*(j + 43)
Determine p, given that 10*p**5/13 + 556*p**4/13 + 7616*p**3/13 - 3136*p**2/13 = 0.
-28, 0, 2/5
Let 125*z**4 - 600*z**3 - 3580*z**2 + 3120*z - 640 = 0. What is z?
-4, 2/5, 8
Find a such that -a**3 + 610*a**2 = 0.
0, 610
Factor 4*p**2 - 2656*p + 440896.
4*(p - 332)**2
Determine u, given that -2*u**3/13 + 4*u**2/13 + 22*u/13 - 24/13 = 0.
-3, 1, 4
Suppose -10*n**4 - 225*n**3 + 115*n**2 = 0. Calculate n.
-23, 0, 1/2
Factor 4*l**2 + 76*l + 360.
4*(l + 9)*(l + 10)
Let 9*u**4/7 - 150*u**3/7 + 636*u**2/7 - 360*u/7 = 0. What is u?
0, 2/3, 6, 10
Factor -8*u**3/5 - 126*u**2/5 + 32*u/5.
-2*u*(u + 16)*(4*u - 1)/5
Determine u, given that u**5/6 - 25*u**4/3 - 35*u**3/2 + 25*u**2/3 + 52*u/3 = 0.
-2, -1, 0, 1, 52
Factor -2*d**3 + 34*d**2 - 28*d - 64.
-2*(d - 16)*(d - 2)*(d + 1)
Solve 36*f**4 - 728*f**3 - 596*f**2 + 168*f = 0 for f.
-1, 0, 2/9, 21
Solve -15*k**5 + 25*k**4 + 5*k**3 - 25*k**2 + 10*k = 0.
-1, 0, 2/3, 1
Factor 3*k**3 - 147*k**2 + 1560*k + 6084.
3*(k - 26)**2*(k + 3)
Factor -2*p**3 - 58*p**2 - 108*p.
-2*p*(p + 2)*(p + 27)
Suppose -4*j**2/3 - 16*j + 2356/3 = 0. What is j?
-31, 19
Factor 64*h**2/11 - 976*h/11 + 3721/11.
(8*h - 61)**2/11
Solve f**2/4 + 8*f + 15 = 0 for f.
-30, -2
Let 5*l**2 + 80*l = 0. What is l?
-16, 0
Let -p**3 + 9*p**2 + 36*p = 0. Calculate p.
-3, 0, 12
Factor -q**2/2 - 9*q/2 + 45.
-(q - 6)*(q + 15)/2
Let -5*t**4 + 15*t**3 - 20*t = 0. Calculate t.
-1, 0, 2
Factor -2*b**2/9 + 20*b/3.
-2*b*(b - 30)/9
Factor -2*c**3/9 + 70*c**2/9 + 76*c/9 - 16.
-2*(c - 36)*(c - 1)*(c + 2)/9
Let s**5/2 - 5*s**4 + 8*s**3 = 0. What is s?
0, 2, 8
Factor 3*m**2 - 858*m + 5040.
3*(m - 280)*(m - 6)
Find y such that 2*y**3/3 - 8*y**2/3 + 2*y = 0.
0, 1, 3
Factor 36*w**2 - 548*w + 120.
4*(w - 15)*(9*w - 2)
Factor -5*s**3 - 80*s**2 - 20*s + 1680.
-5*(s - 4)*(s + 6)*(s + 14)
Factor 2*g**4 + 124*g**3 - 936*g**2 + 2052*g - 1242.
2*(g - 3)**2*(g - 1)*(g + 69)
Suppose -3*s**4/7 - 6*s**3/7 + 27*s**2/7 + 54*s/7 = 0. Calculate s.
-3, -2, 0, 3
Let -3*t**4/4 + 3*t**3 - 9*t**2/4 - 3*t + 3 = 0. What is t?
-1, 1, 2
Determine p, given that 25*p**5 - 115*p**4 - 75*p**3 + 115*p**2 + 50*p = 0.
-1, -2/5, 0, 1, 5
Suppose -6*q**4 + 14*q**3 - 10*q**2 + 2*q = 0. What is q?
0, 1/3, 1
Factor -4*v**4 - 32*v**3 - 84*v**2 - 72*v.
-4*v*(v + 2)*(v + 3)**2
Factor 34*w**3/7 + 38*w**2/7 - 64*w/7 - 8/7.
2*(w - 1)*(w + 2)*(17*w + 2)/7
Determine y, given that 3*y**2 - 57*y + 54 = 0.
1, 18
Factor 4*i**2 - 8*i - 96.
4*(i - 6)*(i + 4)
Factor 2*i**2/9 + 10*i/9.
2*i*(i + 5)/9
Factor -2*q**2/11 - 4512*q/11 - 2544768/11.
-2*(q + 1128)**2/11
Factor -64*l**4 + 18672*l**3 - 13980*l**2 + 3493*l - 291.
-(l - 291)*(4*l - 1)**3
Factor -w**3 + 11*w**2 - 15*w - 27.
-(w - 9)*(w - 3)*(w + 1)
Find a, given that -5*a**2 - 10*a = 0.
-2, 0
Determine w, given that 3*w**3/5 + 64*w**2/5 + 63*w + 98/5 = 0.
-14, -7, -1/3
Suppose i**5/3 - 8*i**4/3 - i**3 + 26*i**2/3 - 16*i/3 = 0. Calculate i.
-2, 0, 1, 8
Factor -z**2 - 13*z - 12.
-(z + 1)*(z + 12)
Determine z, given that z**3/5 - 9*z**2/5 + 4*z = 0.
0, 4, 5
Determine z, given that -3*z**4/5 + 102*z**3/5 - 759*z**2/5 - 1836*z/5 - 972/5 = 0.
-1, 18
Factor 5*a**2 + 40*a - 165.
5*(a - 3)*(a + 11)
Factor 3*r**3 - 9*r**2.
3*r**2*(r - 3)
Factor -3*u**3/4 + 81*u**2/4 - 729*u/4 + 2187/4.
-3*(u - 9)**3/4
Determine d so that d**2/3 - 59*d/3 + 286 = 0.
26, 33
Factor -5*m**2 + 2190*m - 239805.
-5*(m - 219)**2
Suppose -u**5 - 24*u**4 + 78*u**3 - 80*u**2 + 27*u = 0. Calculate u.
-27, 0, 1
Factor 5*o**3 - 25*o**2 - 920*o - 1700.
5*(o - 17)*(o + 2)*(o + 10)
Find m such that -2*m**2/3 - 68*m/3 - 62 = 0.
-31, -3
Factor -3*c**4/2 + 15*c**3/2 + 9*c**2.
-3*c**2*(c - 6)*(c + 1)/2
Let 12*p**5 + 72*p**4 + 27*p**3 - 183*p**2 - 63*p + 135 = 0. Calculate p.
-5, -3/2, 1
Factor 2*v**3/21 - 16*v**2/21 - 38*v/21 - 20/21.
2*(v - 10)*(v + 1)**2/21
Factor 399*z**3 + 526*z**2 + 125*z - 2.
(z + 1)*(3*z + 1)*(133*z - 2)
Solve q**2/2 - 30*q - 61/2 = 0 for q.
-1, 61
Factor 2*d**4 - 74*d**3 + 420*d**2.
2*d**2*(d - 30)*(d - 7)
Find m, given that -3*m**3/4 - 15*m**2/4 - 21*m/4 - 9/4 = 0.
-3, -1
Factor 3*f**3 + 96*f**2 - 201*f + 102.
3*(f - 1)**2*(f + 34)
What is x in -x**2 + 286*x - 285 = 0?
1, 285
Let 72*c**2 + 120*c + 50 = 0. What is c?
-5/6
Let s**2 - 215*s - 1554 = 0. Calculate s.
-7, 222
Factor -u**2 + 53*u.
-u*(u - 53)
Let 2*s**2 + 506*s/5 - 204/5 = 0. Calculate s.
-51, 2/5
Determine i so that -2*i**5 - 10*i**4 + 2*i**3 + 10*i**2 = 0.
-5, -1, 0, 1
Factor -2*m**4/3 + 14*m**3 - 26*m**2 + 38*m/3.
-2*m*(m - 19)*(m - 1)**2/3
Let -j**5 + 3*j**4 + 41*j**3 + 105*j**2 + 104*j + 36 = 0. What is j?
-2, -1, 9
Factor -2*d**4 + 60*d**3 - 166*d**2 + 108*d.
-2*d*(d - 27)*(d - 2)*(d - 1)
Find c, given that 16*c**3 + 328*c**2/7 - 185*c/7 + 24/7 = 0.
-24/7, 1/4
Find i such that 5*i**3 + 35*i**2 - 3000*i + 22320 = 0.
-31, 12
Find d, given that 4*d**3/3 + 196*d**2/3 - 404*d/3 + 68 = 0.
-51, 1
What is r in -8*r**4/7 + 20*r**3/7 - 20*r/7 + 8/7 = 0?
-1, 1/2, 1, 2
Suppose 3*u**3/4 + 85*u**2/4 + 13*u/2 - 14 = 0. What is u?
-28, -1, 2/3
Factor -5*y**2/2 - 450*y - 20250.
-5*(y + 90)**2/2
Solve i**5/5 + 7*i**4/5 + 14*i**3/5 + 2*i**2/5 - 3*i - 9/5 = 0 for i.
-3, -1, 1
Solve -1014*k**3 + 1118*k**2 - 320*k/3 + 8/3 = 0 for k.
2/39, 1
Factor -3*u**4 + 1149*u**3 - 110589*u**2 + 109443*u.
-3*u*(u - 191)**2*(u - 1)
Suppose 2250*n**5/7 + 10425*n**4/7 - 16920*n**3/7 + 8856*n**2/7 - 1920*n/7 + 144/7 = 0. Calculate n.
-6, 1/6, 2/5
Factor 4*t**5/7 - 8*t**4/7 + 8*t**2/7 - 4*t/7.
4*t*(t - 1)**3*(t + 1)/7
Factor 2*a**2/3 - 16*a/3.
2*a*(a - 8)/3
What is b in -4*b**5 + 4*b**4 = 0?
0, 1
Solve -2*p**3/9 + 166*p**2/9 - 640*p/9 + 632/9 = 0.
2, 79
Solve 72*t**5 + 358*t**4 + 418*t**3 - 32*t**2 - 24*t = 0.
-3, -2, -2/9, 0, 1/4
Factor 2*q**4/9 + 2*q**3/9 - 44*q**2/9 - 80*q/9.
2*q*(q - 5)*(q + 2)*(q + 4)/9
What is s in 2*s**5 + 16*s**4 + 10*s**3 - 100*s**2 = 0?
-5, 0, 2
Factor 5*j**4 + 720*j**3 + 715*j**2.
5*j**2*(j + 1)*(j + 143)
Factor 92*z**3 + 76*z**2 - 200*z + 32.
4*(z - 1)*(z + 2)*(23*z - 4)
What is s in -3*s**3/4 - 357*s**2/8 + 273*s/4 - 183/8 = 0?
-61, 1/2, 1
Determine a, given that -7*a**4/3 + 18*a**3 - 11*a**2 - 14*a/3 = 0.
-2/7, 0, 1, 7
Factor s**3/2 - 287*s**2.
s**2*(s - 574)/2
Factor -2*b**2 - 1880*b/3 + 1256/3.
-2*(b + 314)*(3*b - 2)/3
Let -5*t**3 + 210*t**2 + 665*t + 450 = 0. What is t?
-2, -1, 45
Determine w so that 3*w**5/2 + 3*w**4/2 - 9*w**3 - 6*w**2 + 12*w = 0.
-2, 0, 1, 2
Solve f**2/5 - 4*f/5 = 0.
0, 4
Factor 320*u**3 - 1680*u**2 + 405*u - 25.
5*(u - 5)*(8*u - 1)**2
Factor -5*r**2 - 3480*r 