$\frac{d}{dx}\frac{x^2+1}{x-1}$
$\frac{2}{x}=\frac{x}{5x+12}$
$80ab-ab+21ab+7ab$
$\frac{3x}{2}-7=\frac{x}{4}-2$
$\int\frac{5x}{\left(x-1\right)^2}dx$
$\frac{9}{16}x^{2}-25y^{2}$
$\tan^2\left(x\right)+sec^2x=2sec^2-1$
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