$\frac{d^3}{dx^3}\left(-\frac{1}{24}x^{-4}-\frac{3}{20}x-x^3\right)$

$\lim_{x\to-1}\left(\frac{1-x^2}{x+1}\right)$

$\int\left(x-5\right)-\left(2y^2-x\right)dy$

$\sin\left(-14.47\right)$

$\lim_{x\to1}\left(\frac{x^4+3x^3-13x^2-27x+36}{x^2+3x-4}\right)$

$\left(3x^2+\:4xy\right)\:dx\:+\:\left(2x^2\:+\:2y\right)\:dy\:=\:0$

$\sec\left(2a\right)-\tan\left(2a\right)=\frac{\cos\left(a\right)-\sin\left(a\right)}{\cos\left(a\right)+\sin\left(a\right)}$