$12a^{-3}x^2\left[y^2\right]^{-1}5x^3$

$\frac{d}{dx}\:\frac{x}{x^2-2}$

$\sin\left(x\right)+\csc\left(x\right)=2\csc\left(x\right)-\cos\left(x\right)\cot\left(x\right)$

$10x-x^5+x^4y$

$\int2^{3x+3}dx$

$\lim_{x\to0}\:\left(x^4\right)\cdot sin\left(\frac{1}{x}\right)$

$\int\frac{2x+3}{x^2+6}dx$