$\frac{1}{2+2\cos\left(x\right)}=\frac{sin^2\frac{x}{2}}{sin^2x}$
$3x+1=2x-3$
$x^3-x^4-27x^3+12x^2+134x-120$
$\frac{1}{\sin\left(x\right)}-1=\cot^2\left(x\right)$
$\log\left(2x^2\right)$
$\lim_{x\to6}\left(\frac{x^2-5x-6}{x-6}\right)$
$\frac{9x^2+3x^3-14}{x^2+x-3}$
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