$\:-log\left(\left(\left(\left(e\right)^x+1\right)^{-y-1}\right)\:\left(e^{\left(y\:\cdot\:x\right)}\:\right)\right)$

$\left(\sqrt{y}-\:\frac{1}{3}x\right)^4$

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

$\lim_{x\to\infty}\:\frac{2^{x+1}}{1+2^x}$

$\int x\left(x^5-x^{-3}-4\right)dx$

$5\log_p\left(s\right)+\frac{1}{2}\log_p\left(y\right)-\frac{3}{2}\log_p\left(x\right)-5\log_p\left(a\right)$

$\frac{dy}{dx}\left(x^4y^3+\sqrt{3y-2x}=10\right)$