$a^2-b^4$

$a^8b^4-c^{16}$

$\frac{d}{dx}\left(x+ln\left(x^2y\right)+3y^2=2x^2-1\right)$

$\frac{d}{dx}\left(3zx^2+y^3-xyz^3\right)$

$\int\left(\frac{\left(9x+3\right)}{x^2+1}\right)dx$

$\int\left(u\sec\left(x\right)^2\right)dx$

$\lim_{x\to0}\left(\frac{tan3x}{sin5}\right)$