$\frac{-x^{4}y^{5}}{x^{2}y}$
$5x\left(8x+3\right)$
$\csc\left(\frac{x}{2}\right)-2=0$
$\lim_{n\to\infty\:}\frac{\left(0\right)^{n+1}-1}{0^n+1}$
$\frac{d}{dy}\left(y=x^2+3\right)$
$\frac{dy}{dx}-y=x^2y$
$\int\left(\frac{x-3}{x^2-7x-18}\right)dx$
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