$\sqrt[2]{x^7}\cdot y^4$
$\frac{12}{y}\cdot y^2$
$\int\frac{4x\:}{4x^2+4x+5}dx$
$1-\sec\left(x\right)+\tan\left(x\right)$
$\frac{dy}{dx}\left(4x^2-x^3e^{xy}+5xy^3=in\left(y^2\right)\right)$
$\int\left(\frac{x^2+8}{x^2}\right)dx$
$x^5\cdot\:\:y'+y^5=0$
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