$\left(\frac{1}{2}-w^4\right)\left(\frac{1}{2}+w^4\right)$

$\lim_{x\to0}\left(\frac{x+1}{x+3}\right)^{\frac{1}{x}}$

$3x^2+27x$

$\frac{d}{dx}\left(x^x\right)\left(6x-4\right)^3\left(6x^2+6\right)^5$

$\int-\frac{1}{9\:}\:cot\left(3x\right)sin\left(3x\right)\:dx$

$7x+3+4x=25$