$\cos^2\left(x\right)=\sin^2\left(\frac{x}{2}\right)$
$\frac{x+3}{x-3}=\frac{12}{13}$
$\lim_{x\to3}\left(\ln\left(\frac{x}{3-x}\right)\right)$
$\sqrt{9x^2y^6}$
$\lim_{x\to0}\left(\frac{e^{3x-1}}{4x^2+3x}\right)$
$x^3-27=0$
$2x^2\cdot\frac{dy}{dx}=3xy+y^2$
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