$\frac{x^2-2x+3}{x+1}$
$\csc\:^2\left(x\right)+2cot\left(x\right)=1+cot\left(x\right)^2$
$\left(-3xy^42^2\right)^3$
$\frac{x^2+5}{x+2}$
$\sec^4\left(2-x\right)$
$\frac{2x^3-7x^2-8x-2}{x+1}$
$\frac{\left(x+1\right)\left(x-1\right)}{y\left(x+1\right)}$
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