q - 1)*(q + 2)/6
Let -4*u**4 + 140*u**3 - 844*u**2 + 1716*u - 1008 = 0. Calculate u.
1, 3, 28
Factor -4*i**4/5 + 37*i**3/5 - 41*i**2/5 + 8*i/5.
-i*(i - 8)*(i - 1)*(4*i - 1)/5
Factor 2*h**2 + 42*h + 76.
2*(h + 2)*(h + 19)
Factor -5*p**4 - 180*p**3 + 400*p**2 + 720*p - 1520.
-5*(p - 2)**2*(p + 2)*(p + 38)
Determine r so that 4*r**3/7 + 292*r**2/7 + 824*r/7 - 160 = 0.
-70, -4, 1
Factor 5*m**2/6 - 145*m/3 - 295/6.
5*(m - 59)*(m + 1)/6
Determine k, given that 3*k**3 + 525*k**2 + 22704*k - 23232 = 0.
-88, 1
Factor -3*f**4 + 456*f**3 - 16866*f**2 - 35112*f - 17787.
-3*(f - 77)**2*(f + 1)**2
Let 2*r**4/9 - 4*r**3/9 - 2*r**2/3 = 0. Calculate r.
-1, 0, 3
Factor -4*t**2 + 216*t.
-4*t*(t - 54)
Determine o so that -2*o**5/11 + 112*o**4/11 - 2048*o**3/11 + 11324*o**2/11 + 18050*o/11 - 27436/11 = 0.
-2, 1, 19
Determine h so that -h**4/4 + h**2 = 0.
-2, 0, 2
Solve -2*i**2/3 + 508*i/3 = 0.
0, 254
Suppose -f**3 + 11*f**2 - 7*f - 147 = 0. What is f?
-3, 7
Let 3*s**2 + 18*s + 24 = 0. Calculate s.
-4, -2
Suppose -c**2/6 - 15*c = 0. Calculate c.
-90, 0
Factor -3*l**3 + 9*l**2 - 6*l.
-3*l*(l - 2)*(l - 1)
Let 7*c**5/5 + 124*c**4/5 - 157*c**3 + 1474*c**2/5 - 1004*c/5 + 184/5 = 0. Calculate c.
-23, 2/7, 1, 2
Factor 2*d**2/5 - 2124*d/5 + 563922/5.
2*(d - 531)**2/5
Factor m**2/4 + 129*m/4 + 127/2.
(m + 2)*(m + 127)/4
Find z such that -z**2 - 468*z - 467 = 0.
-467, -1
Factor 3*p**5 + 17*p**4 - 80*p**3/3 + 28*p**2/3.
p**2*(p + 7)*(3*p - 2)**2/3
Find v, given that 3*v**5 - 33*v**4 + 117*v**3 - 135*v**2 = 0.
0, 3, 5
Factor 2*h**2/9 + 19064*h/9 + 45429512/9.
2*(h + 4766)**2/9
Suppose -3*u**2 + 72*u = 0. Calculate u.
0, 24
Let m**3/3 - 4*m**2 = 0. What is m?
0, 12
Factor -o**4/8 - 5*o**3/8 - o**2/2.
-o**2*(o + 1)*(o + 4)/8
Factor -5*n**3 - 115*n**2 - 455*n + 2535.
-5*(n - 3)*(n + 13)**2
Find f, given that -4*f**4 - 208*f**3 - 764*f**2 + 208*f + 768 = 0.
-48, -4, -1, 1
Suppose i**2 - 74*i + 744 = 0. Calculate i.
12, 62
Determine y so that -123201*y**3 - 122499*y**2 + 701*y - 1 = 0.
-1, 1/351
Determine y, given that -3*y**2/4 + 9*y/4 + 30 = 0.
-5, 8
Let 268*l**2 + 16*l = 0. What is l?
-4/67, 0
Suppose 2*r**5/3 - 74*r**4/3 + 116*r**3/3 + 812*r**2/3 + 970*r/3 + 350/3 = 0. Calculate r.
-1, 5, 35
Find o such that -2*o**4/5 - 15*o**3/2 + 183*o**2/10 - 25*o/2 + 21/10 = 0.
-21, 1/4, 1
Let 6*q**3/11 + 3726*q**2/11 + 771282*q/11 + 53218458/11 = 0. Calculate q.
-207
Factor -3*t**4 - 138*t**3 - 1443*t**2 + 3312*t - 1728.
-3*(t - 1)**2*(t + 24)**2
Solve -z**4/5 - 2*z**3/5 + 67*z**2/5 - 124*z/5 + 12 = 0.
-10, 1, 6
Factor -12*k**3 + 178*k**2 + 74*k - 660.
-2*(k - 15)*(k + 2)*(6*k - 11)
Factor -z**4 - 15*z**3.
-z**3*(z + 15)
Factor 3*r**3/5 + 918*r**2/5 - 1857*r/5 - 2772/5.
3*(r - 3)*(r + 1)*(r + 308)/5
Factor q**3/2 + 27*q**2 + 321*q/2 - 188.
(q - 1)*(q + 8)*(q + 47)/2
Solve 3*z**4 + 11*z**3 - 10*z**2 - 48*z = 0 for z.
-3, -8/3, 0, 2
Suppose 2*y**3/15 - 104*y**2/15 + 512*y/5 - 1536/5 = 0. What is y?
4, 24
Solve -o**2/11 + 120*o/11 - 3600/11 = 0.
60
Solve 3*m**4 - 6*m**3 - 12*m**2 + 6*m + 9 = 0.
-1, 1, 3
Factor -5*m**2 - 280*m - 275.
-5*(m + 1)*(m + 55)
Solve 2*g**5 + 124*g**4/3 + 26*g**3 - 40*g**2/3 = 0.
-20, -1, 0, 1/3
Factor f**4 + 7*f**3 + 17*f**2 + 17*f + 6.
(f + 1)**2*(f + 2)*(f + 3)
Factor 2*b**3 + 44*b**2/7 + 46*b/7 + 16/7.
2*(b + 1)**2*(7*b + 8)/7
Find a such that a**4/3 - 866*a**3/3 + 187489*a**2/3 = 0.
0, 433
Factor n**4 + 16*n**3 + 45*n**2 - 54*n - 216.
(n - 2)*(n + 3)**2*(n + 12)
Factor 4*i**3 + 24*i**2 - 64*i.
4*i*(i - 2)*(i + 8)
Let y**4/2 - 5*y**3/2 + 4*y**2 - 2*y = 0. What is y?
0, 1, 2
Solve -4*y**2 - 20*y = 0 for y.
-5, 0
Factor 4*u**2 + 284*u - 288.
4*(u - 1)*(u + 72)
Factor -j**2 + j.
-j*(j - 1)
What is o in -2*o**5 - 66*o**4 - 696*o**3 - 1976*o**2 + 4416*o + 5760 = 0?
-12, -10, -1, 2
Suppose -280*j**3 + 6705*j**2 - 39960*j - 2160 = 0. What is j?
-3/56, 12
Factor -3*g**4 - 402*g**3 - 13047*g**2 + 28968*g + 41616.
-3*(g - 3)*(g + 1)*(g + 68)**2
Factor 4*q**4 + 388*q**3 + 11132*q**2 + 77228*q - 88752.
4*(q - 1)*(q + 12)*(q + 43)**2
Suppose n**2/4 - 3*n/4 + 1/2 = 0. Calculate n.
1, 2
Factor -719*y**2/2 - 720*y - 2.
-(y + 2)*(719*y + 2)/2
Factor 2*x**2/7 + 186*x/7 - 2288/7.
2*(x - 11)*(x + 104)/7
Suppose 2*s**4/3 - 4*s**3/3 - 48*s**2 - 180*s - 198 = 0. Calculate s.
-3, 11
Factor -14*o**4 + 4566*o**3 - 495078*o**2 + 17702690*o + 15540348.
-2*(o - 109)**3*(7*o + 6)
Suppose 5*c**4/4 + 5*c**3/2 - 15*c**2/4 - 10*c - 5 = 0. What is c?
-2, -1, 2
Suppose -t**4/2 - 15*t**3/2 - 13*t**2/2 + 15*t/2 + 7 = 0. What is t?
-14, -1, 1
Factor m**3/2 - m**2/2 - 6*m.
m*(m - 4)*(m + 3)/2
Factor -3*x**2 + 339*x + 4500.
-3*(x - 125)*(x + 12)
Suppose -2*x**2/17 + 762*x/17 = 0. What is x?
0, 381
Suppose -3*n**4 + 27*n**3 - 45*n**2 + 21*n = 0. What is n?
0, 1, 7
Factor 42*o**2 + 452*o - 320.
2*(3*o - 2)*(7*o + 80)
Factor 2*i**2/11 - 32*i/11 - 672/11.
2*(i - 28)*(i + 12)/11
Let k**5 + 7*k**4 - 3*k**3 - 55*k**2 + 50*k = 0. What is k?
-5, 0, 1, 2
Let -2*m**5/13 + 86*m**4/13 - 878*m**3/13 - 1054*m**2/13 + 880*m/13 + 968/13 = 0. What is m?
-1, 1, 22
Factor 2*d**2 + 78*d - 80.
2*(d - 1)*(d + 40)
What is u in -25*u**3/3 - 380*u**2/3 + 775*u/3 + 170/3 = 0?
-17, -1/5, 2
Factor -r**2 + 13292*r - 44169316.
-(r - 6646)**2
Factor -2*d**3/9 + 10*d**2/3 - 148*d/9 + 80/3.
-2*(d - 6)*(d - 5)*(d - 4)/9
Find u, given that 4*u**2 - 108*u - 952 = 0.
-7, 34
Factor 4*y**2/7 - 212*y/7 + 208/7.
4*(y - 52)*(y - 1)/7
Determine q, given that -4*q**2 - 3100*q = 0.
-775, 0
Let 4*u**3/7 - 16*u**2/7 + 12*u/7 = 0. Calculate u.
0, 1, 3
Find x, given that -12*x**5 + 424*x**4 + 6072*x**3 + 23296*x**2 + 27060*x + 9400 = 0.
-5, -1, -2/3, 47
Let i**3/3 - 19*i**2/6 + 10*i - 21/2 = 0. Calculate i.
3, 7/2
Determine h, given that 2*h**4/11 + 36*h**3/11 + 216*h**2/11 + 432*h/11 = 0.
-6, 0
Factor 5*u**4 + 6880*u**3 + 20610*u**2 + 20600*u + 6865.
5*(u + 1)**3*(u + 1373)
Suppose 4*u**4 + 17*u**3 - 75*u**2 + 83*u - 29 = 0. Calculate u.
-29/4, 1
Solve a**4 + 12*a**3 - 18*a**2 - 68*a - 39 = 0.
-13, -1, 3
Suppose 3*h**5 - 3*h**4 - 27*h**3 + 3*h**2 + 60*h + 36 = 0. Calculate h.
-2, -1, 2, 3
Suppose 8*y**2 - 140*y + 68 = 0. Calculate y.
1/2, 17
Factor -5*u**4 + 1160*u**3 - 74910*u**2 + 885080*u - 2910845.
-5*(u - 109)**2*(u - 7)**2
Determine r, given that 2*r**5/17 - 8*r**4/17 - 16*r**3/17 + 28*r**2/17 + 14*r/17 - 20/17 = 0.
-2, -1, 1, 5
Let 3*d**3 + 6369*d**2 + 3377160*d - 3383532 = 0. Calculate d.
-1062, 1
Factor -5*q**3/6 - 1427*q**2/6 + 430*q/3 + 286/3.
-(q - 1)*(q + 286)*(5*q + 2)/6
What is z in -4*z**5 + 12*z**4 + 20*z**3 - 60*z**2 - 16*z + 48 = 0?
-2, -1, 1, 2, 3
Find j such that j**3/8 - 15*j**2/4 - 33*j/8 + 31/4 = 0.
-2, 1, 31
Factor -p**2/5 - 76*p - 1131/5.
-(p + 3)*(p + 377)/5
Let -17298*s**2 - 744*s - 8 = 0. Calculate s.
-2/93
Factor -2*x**3 + 298*x**2 + 1216*x + 1224.
-2*(x - 153)*(x + 2)**2
Determine h, given that -h**4/8 + 7*h**3/8 + 13*h**2/2 + 23*h/2 + 6 = 0.
-2, -1, 12
Suppose -2*x**4 - 230*x**3 + 236*x**2 + 464*x = 0. What is x?
-116, -1, 0, 2
Determine b, given that 18*b**5 + 6*b**4 - 10*b**3 + 2*b**2 = 0.
-1, 0, 1/3
Factor 2*c**2/3 + 70*c/3 + 116.
2*(c + 6)*(c + 29)/3
Factor g**3/3 - 88*g**2/3 - 179*g/3 - 30.
(g - 90)*(g + 1)**2/3
Determine s, given that s**5 - 7*s**3 - 6*s**2 = 0.
-2, -1, 0, 3
Factor 6*r**3/7 - 186*r**2/7 + 300*r/7 + 1392/7.
6*(r - 29)*(r - 4)*(r + 2)/7
Factor 5*s**4/4 - 13*s**3/2 - 155*s**2/4 - 37*s + 9.
(s - 9)*(s + 2)**2*(5*s - 1)/4
Factor -5*j**2 + 215*j - 210.
-5*(j - 42)*(j - 1)
Let -2*q**2/5 - 124*q/5 - 1922/5 = 0. Calculate q.
-31
Factor -665*k**5 - 2010*k**4 - 2040*k**3 - 710*k**2 - 15*k.
-5*k*(k + 1)**3*(133*k + 3)
What is k in k**2/4 + 205*k/4 + 693/2 = 0?
-198, -7
Factor 3*v**2 - 357*v - 360.
3*(v - 120)*(v + 1)
Let 20*x**5 - 32*x**4 - 76*x**3 + 136*x**2 - 16*x - 32 = 0. Calculate x.
-2, -2/5, 1, 2
Factor 5*x**5/2 + 26*x**4 + 145*x**3/2 + 25*x**2.
x**2*(x + 5)**2*(5*x + 2)/2
Determine o so that o**2 + 14*o = 0.
-14, 0
Suppose 3*i**2/4 + 8073*i/2 + 21724443/4 = 0. Calculate i.
-2691
Solve -2*k**2/9 - 220*k/9 + 448/9 = 0 for k.
-112, 2
What is r in 5*r**3 - 5*r = 0?
-1, 0, 1
Factor b**3/7 + 36*b**2/7 + 324*b/7.
b*(b + 18)**2/7
Find g, given that -4*g**5 - 30*g**4 - 46*g**3 + 48*g**2 + 32*g = 0.
-4, -1/2, 0, 1
Suppose 10*r**5 + 35*r**4 + 20*r**3 - 20*r**2 = 0. Calculate r.
-2, 0, 1/2
Factor 2*i**2/11 - 