$\frac{1}{4}\cdot2^9$
$-2\left(-6c\:+\:6\right)\:=\:12c$
$\int\frac{x^2+4}{\left(x^2+2\right)\left(x-2\right)}dx$
$\frac{x^4-x^2-3x+2}{x-2}$
$\frac{dy}{dx}=e^{4x}-6y$
$\int\left(csc^2\left(1-cotx\right)\right)dx$
$\frac{\left(-x^2+3x-2\right)}{\left(x^2+1\right)}$
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