SymPy Gamma

SymPy:

factor (x**2%20%2*B%204*x*y%20%2*B%204*y**2)

$\mathrm{Factorization~of~}y^{2} \left(B \left(x y \left(B \left(x^{2}\bmod{2}\right)\bmod{204}\right)\bmod{2}\right)\bmod{204}\right)$

Result:

$y^{2} \left(B \left(x y \left(B \left(x^{2}\bmod{2}\right)\bmod{204}\right)\bmod{2}\right)\bmod{204}\right)$

Plot:

Roots:

solve(y**2*Mod(B*Mod(x*y*Mod(B*Mod(x**2, 2), 204), 2), 204), x)

$x =$

diff(y**2*Mod(B*Mod(x*y*Mod(B*Mod(x**2, 2), 204), 2), 204), x)

$\frac{\partial}{\partial x} y^{2} \left(B \left(x y \left(B \left(x^{2}\bmod{2}\right)\bmod{204}\right)\bmod{2}\right)\bmod{204}\right) =$

series(y**2*Mod(B*Mod(x*y*Mod(B*Mod(x**2, 2), 204), 2), 204), x, 0, 10)

See what Wolfram|Alpha has to say.

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