Let q**2/4 - 259*q/4 + 129/2 = 0. Calculate q.
1, 258
Solve -2*r**3/7 + 218*r**2/7 - 216*r/7 = 0 for r.
0, 1, 108
Factor 2*n**3 - 16*n**2 + 26*n - 12.
2*(n - 6)*(n - 1)**2
Determine m, given that 2*m**3/5 + 32*m**2/5 + 58*m/5 + 28/5 = 0.
-14, -1
What is b in -4*b**4 - 512*b**3 - 16384*b**2 = 0?
-64, 0
Let -149*j**5/2 - 224*j**4 - 3*j**3/2 + 298*j**2 + 2*j = 0. Calculate j.
-2, -1/149, 0, 1
Determine a, given that -6*a**3 - 70*a**2 + 102*a - 26 = 0.
-13, 1/3, 1
Factor -3*g**3/2 + 3*g**2/2.
-3*g**2*(g - 1)/2
Let -2*s**3/3 + 248*s**2 - 246*s - 1484/3 = 0. Calculate s.
-1, 2, 371
Solve -2*f**5/15 + 34*f**3/15 - 32*f/15 = 0.
-4, -1, 0, 1, 4
Factor -2*g**3 + 20*g**2.
-2*g**2*(g - 10)
Find j such that -j**2/3 - 74*j/3 - 231 = 0.
-63, -11
Let 2*n**2 + 44*n - 150 = 0. Calculate n.
-25, 3
Determine l, given that l**2/5 - 56*l/5 + 108/5 = 0.
2, 54
Factor 63*u**4/5 - 123*u**3/5 - 6*u**2/5.
3*u**2*(u - 2)*(21*u + 1)/5
Determine r, given that -r**4/5 + 128*r**3/5 + 259*r**2/5 + 26*r = 0.
-1, 0, 130
Determine h so that -2*h**5/9 - 10*h**4/3 - 176*h**3/9 - 56*h**2 - 704*h/9 - 128/3 = 0.
-4, -3, -2
Factor -5*p**4 - 830*p**3 + 31020*p**2 - 354530*p + 1324345.
-5*(p - 11)**3*(p + 199)
Determine v, given that 2*v**3 + 1698*v**2 + 480534*v + 45330374 = 0.
-283
Solve -4*k**4 - 40*k**3 + 92*k**2 - 48*k = 0 for k.
-12, 0, 1
Let -2*r**5/3 + 46*r**4/3 = 0. What is r?
0, 23
Determine q so that -2*q**4/3 + 26*q**3/3 - 32*q**2 + 24*q = 0.
0, 1, 6
Factor -2*n**5 - 6*n**4 - 6*n**3 - 2*n**2.
-2*n**2*(n + 1)**3
Factor 4*d**3 + 3*d**2.
d**2*(4*d + 3)
Factor -4*u**5 - 100*u**4 - 184*u**3 + 8*u**2 + 188*u + 92.
-4*(u - 1)*(u + 1)**3*(u + 23)
Factor -2*f**3/15 - 142*f**2/5 - 7344*f/5 + 23328/5.
-2*(f - 3)*(f + 108)**2/15
Let 2*f**2/5 + 5882*f/5 - 5884/5 = 0. Calculate f.
-2942, 1
Let 2*p**2 + 230*p + 6132 = 0. What is p?
-73, -42
Determine q so that -5*q**4 - 15*q**3 + 185*q**2 - 165*q - 360 = 0.
-8, -1, 3
Factor -4*h**2 - 16*h + 84.
-4*(h - 3)*(h + 7)
Solve -2*r**4/15 + 64*r**3/5 - 4606*r**2/15 - 64*r/5 + 1536/5 = 0.
-1, 1, 48
Factor -4*h**4/7 - 368*h**3/7 + 4848*h**2/7 - 14976*h/7.
-4*h*(h - 6)**2*(h + 104)/7
Factor 275*q**3/9 - 305*q**2/9 - 376*q/9 - 28/3.
(5*q + 2)**2*(11*q - 21)/9
Suppose 5*u**4 + 2205*u**3 + 2180*u**2 - 8820*u - 8800 = 0. What is u?
-440, -2, -1, 2
Factor -28566*h**5 + 89424*h**4 - 111798*h**3 + 69772*h**2 - 21736*h + 2704.
-2*(3*h - 2)**3*(23*h - 13)**2
Factor 3*j**2 - 780*j.
3*j*(j - 260)
Suppose b**2 - 1155*b + 1154 = 0. What is b?
1, 1154
Find t, given that 2*t**3/19 - 30*t**2/19 + 54*t/19 - 26/19 = 0.
1, 13
Solve 940*i**3 - 2075*i**2 + 380*i + 20 = 0.
-2/47, 1/4, 2
Factor -u**3/4 - 2061*u**2/4 + 2063*u/2.
-u*(u - 2)*(u + 2063)/4
Factor q**4/8 + 23*q**3/8 + 143*q**2/8 + 121*q/8.
q*(q + 1)*(q + 11)**2/8
Factor -25*n**3 - 530*n**2 - 1055*n - 190.
-5*(n + 2)*(n + 19)*(5*n + 1)
Factor 2*l**3 + 38*l**2 - 82*l + 42.
2*(l - 1)**2*(l + 21)
Factor -5*n**3 - 205*n**2 - 200*n.
-5*n*(n + 1)*(n + 40)
Factor 3*b**5 + 10*b**4 + 9*b**3 + 2*b**2.
b**2*(b + 1)*(b + 2)*(3*b + 1)
Factor r**4/9 - 22*r**3/9 + 121*r**2/9 - 28*r + 20.
(r - 15)*(r - 3)*(r - 2)**2/9
Factor 2*p**3 - 90*p**2 - 492*p - 400.
2*(p - 50)*(p + 1)*(p + 4)
Factor 5*s**2 + 250*s + 705.
5*(s + 3)*(s + 47)
Factor -4*d**4 + 34*d**3.
-2*d**3*(2*d - 17)
Factor 2*n**5/21 + 4*n**4/21 - 2*n**3/7 - 8*n**2/21 + 8*n/21.
2*n*(n - 1)**2*(n + 2)**2/21
Factor -y**2/5 + 867*y/5 + 868/5.
-(y - 868)*(y + 1)/5
Find i such that -i**5/2 - 5*i**4/2 + 3*i**3/2 + 17*i**2/2 + 5*i = 0.
-5, -1, 0, 2
Suppose -5*g**4 - 35*g**3 + 165*g**2 + 675*g = 0. Calculate g.
-9, -3, 0, 5
What is d in 3*d**5 + 21*d**4 + 6*d**3 - 84*d**2 - 72*d = 0?
-6, -2, -1, 0, 2
Determine h so that 2*h**5/3 + 848*h**4/3 + 122594*h**3/3 + 2139828*h**2 + 18472680*h + 43801200 = 0.
-138, -5
Determine l so that -2*l**4/3 - 36*l**3 - 1198*l**2/3 - 364*l = 0.
-39, -14, -1, 0
Suppose -15*t**4 - 114*t**3 + 87*t**2 + 330*t + 144 = 0. Calculate t.
-8, -1, -3/5, 2
Solve -2*q**2 - 616*q - 47432 = 0 for q.
-154
Factor -4*q**3 - 200*q**2 - 1556*q + 1760.
-4*(q - 1)*(q + 11)*(q + 40)
Let 3*i**2 + 17571*i - 17574 = 0. Calculate i.
-5858, 1
Determine j so that -5*j**5 + 20*j**4 + 225*j**3 - 500*j**2 - 220*j + 480 = 0.
-6, -1, 1, 2, 8
Factor 4*v**2 - 52720*v + 173712400.
4*(v - 6590)**2
Factor 2*o**2 - 82*o - 84.
2*(o - 42)*(o + 1)
Solve -20*u**5 - 95*u**4 + 45*u**3 + 95*u**2 - 25*u = 0 for u.
-5, -1, 0, 1/4, 1
Factor -5*f**2 - 45*f - 40.
-5*(f + 1)*(f + 8)
Find c, given that -2*c**3 + 568*c**2 - 39754*c - 81796 = 0.
-2, 143
Factor -4*m**4 - 52*m**3 + 56*m**2.
-4*m**2*(m - 1)*(m + 14)
Determine q so that 2*q**2/3 + 124*q/9 + 32 = 0.
-18, -8/3
Factor -250*c**3/7 - 5500*c**2/7 - 31320*c/7 - 11664/7.
-2*(5*c + 2)*(5*c + 54)**2/7
Determine z, given that -168*z**4/5 - 1954*z**3/5 + 2924*z**2/5 - 854*z/5 + 52/5 = 0.
-13, 1/12, 2/7, 1
Suppose 5*w**3 - 5*w = 0. Calculate w.
-1, 0, 1
Factor 4*w**3 + 790*w**2 + 3482*w + 1544.
2*(w + 4)*(w + 193)*(2*w + 1)
Factor 2*z**3/9 - 82*z**2/9 - 370*z/9 + 50.
2*(z - 45)*(z - 1)*(z + 5)/9
Solve 35*c**5 + 885*c**4 + 4240*c**3 - 17480*c**2 + 8400*c + 3920 = 0.
-14, -2/7, 1, 2
Solve -126*c**3/5 - 127*c**2/5 + c + 6/5 = 0.
-1, -2/9, 3/14
Factor -2*h**5/13 + 20*h**4/13 - 48*h**3/13 + 44*h**2/13 - 14*h/13.
-2*h*(h - 7)*(h - 1)**3/13
Factor 4*f**2 + 6656*f + 6652.
4*(f + 1)*(f + 1663)
Factor f**4/2 + f**3 - 8*f**2 - 16*f.
f*(f - 4)*(f + 2)*(f + 4)/2
Factor 5*a**2 - 420*a.
5*a*(a - 84)
What is y in 3*y**5 + 33*y**4 + 78*y**3 + 48*y**2 = 0?
-8, -2, -1, 0
Let 4*s**2/3 + 208*s/3 + 2704/3 = 0. What is s?
-26
Factor -2*a**4/5 + 164*a**3/5 - 3194*a**2/5 - 6888*a/5 - 3528/5.
-2*(a - 42)**2*(a + 1)**2/5
Solve -g**3/3 + 775*g**2/3 + g/3 - 775/3 = 0 for g.
-1, 1, 775
Determine v, given that -4*v**5/9 + 4*v**4/9 + 4*v**3/3 - 4*v**2/9 - 8*v/9 = 0.
-1, 0, 1, 2
Factor -8*r**2 + 26*r - 6.
-2*(r - 3)*(4*r - 1)
Factor 2*s**3 - 20*s**2 + 50*s.
2*s*(s - 5)**2
Factor -n**2 + 7*n + 98.
-(n - 14)*(n + 7)
Factor p**4/5 + 118*p**3/5 + 3597*p**2/5 + 6844*p/5 + 3364/5.
(p + 1)**2*(p + 58)**2/5
Factor -c**2/3 - 6*c - 80/3.
-(c + 8)*(c + 10)/3
Determine v, given that -4*v**2 - 1968*v - 1964 = 0.
-491, -1
Factor -t**2/6 - t/6 + 136/3.
-(t - 16)*(t + 17)/6
Suppose 5*c**4 + 5*c**3 - 20*c**2 - 20*c = 0. Calculate c.
-2, -1, 0, 2
Factor 8*y**3/13 + 2*y**2/13 - 8*y/13 - 2/13.
2*(y - 1)*(y + 1)*(4*y + 1)/13
Factor 4*c**5 + 20*c**4 + 36*c**3 + 28*c**2 + 8*c.
4*c*(c + 1)**3*(c + 2)
Factor -b**3/4 + 8*b**2 + 67*b/4 + 17/2.
-(b - 34)*(b + 1)**2/4
Factor -242*w**2 + 44*w - 2.
-2*(11*w - 1)**2
Factor -5*a**3 - 30*a**2 + 395*a - 780.
-5*(a - 4)*(a - 3)*(a + 13)
Solve -2360*g**4 + 3010*g**3 - 665*g**2 + 15*g = 0 for g.
0, 3/118, 1/4, 1
Let 14*g**2/11 + 226*g/11 + 32/11 = 0. What is g?
-16, -1/7
Factor -q**2 - 23*q - 76.
-(q + 4)*(q + 19)
Factor y**3 + 10*y**2 + 29*y + 20.
(y + 1)*(y + 4)*(y + 5)
Suppose -3*o**2/4 + 99*o/4 = 0. What is o?
0, 33
Factor -4*f**2 - 3544*f + 10668.
-4*(f - 3)*(f + 889)
Solve 16*c**2 + 170*c + 450 = 0.
-45/8, -5
Factor -2*g**2 + 2048*g - 524288.
-2*(g - 512)**2
Factor -2*y**2/9 - 1258*y/9 - 1256/9.
-2*(y + 1)*(y + 628)/9
Determine p, given that -4*p**3 - 176*p**2 - 656*p - 640 = 0.
-40, -2
Suppose -8*l**3 + 42*l**2 - 58*l + 12 = 0. Calculate l.
1/4, 2, 3
Let -i**4 - 63*i**3 - 960*i**2 + 1024*i = 0. Calculate i.
-32, 0, 1
Determine v so that -2*v**5/3 - 2*v**4 + 34*v**3/3 + 18*v**2 - 176*v/3 + 32 = 0.
-4, 1, 3
Solve -5*t**2/3 - 20140*t/3 - 20280980/3 = 0.
-2014
Factor -2*z**5/5 + 22*z**4/5 - 68*z**3/5 + 92*z**2/5 - 58*z/5 + 14/5.
-2*(z - 7)*(z - 1)**4/5
Factor -2*u**3/9 + 68*u**2/9 - 56*u - 144.
-2*(u - 18)**2*(u + 2)/9
Let -2*n**2 - 72*n - 520 = 0. What is n?
-26, -10
Find d such that -d**4/3 + 3*d**3 - 17*d**2/3 - 3*d + 6 = 0.
-1, 1, 3, 6
Factor -5*h**4 - 15*h**3 + 25*h**2 + 15*h - 20.
-5*(h - 1)**2*(h + 1)*(h + 4)
Solve -2*x**5 - 70*x**4 - 836*x**3 - 3836*x**2 - 5434*x - 2366 = 0 for x.
-13, -7, -1
Determine o so that -84*o**3/17 - 94*o**2/17 + 6*o/17 + 16/17 = 0.
-1, -1/2, 8/21
Factor -4*p**4 - 1072*p**3 + 4*p**2 + 1072*p.
-4*p*(p - 1)*(p + 1)*(p + 268)
Determine k, given that 4*k**3 - 100*k**2 - 448*k - 464 = 0.
-2, 29
Factor -4*z**2 + 24*z - 32.
-4*(z - 4)*(z - 2)
What is m in 4*m**3/7 + 4456*m**2/7 + 636*m = 0?
-1113, -1, 0
What is i in i**3/3 + 18*i**2 + 180*i 