$\lim_{x\to1}\left(\frac{x^{12}-1}{x^6+x-2}\right)$
$\int\left(\frac{4x^3+8x^2+50x+150}{x^4+25x^2}\right)dx$
$\frac{dy}{dx}+y=ye^{x+8}$
$\left(2d+m^2\right)^2$
$\int x^3\left(6+15x^4\right)^8dx$
$y'+\:cos\:x\:=\:y$
$\int\left(8x^{2}-3x+2\right)\left(2x-3\right)dx$
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