$\frac{5+2x}{3+4x}=\frac{1}{2}$

$\int\frac{\:1}{\sqrt{7x+6}}dx$

$20+10-8$

$\lim_{x\to16}\left(\frac{4+\sqrt{x}}{16x-x^2}\right)$

$\left(x^4y^6\right)^8$

$\int7\left(7x+4\right)dx$

$\frac{d}{di}=\left(p\cdot\:\:log\left(w-l-ci-i\right)+\left(1-p\right)\cdot\:\left(log\left(w-ci\right)\right)\right)$