$\log_{13}\left(2x^2+2x\right)=\log_{13}\left(8+x^2\right)$

$\int\sqrt[3]{x+1}dx$

$\lim_{x\to0}\left(2x+3\right)$

$7y+x-6y+6$

$\frac{dy}{dx}=\frac{1}{-\left(x^2+1\right)}$

$\left(-5\right)\cdot\left|\left(-17\right)-\left(-19\right)\right|+12+\left(-1\right)$

$y=-\frac{6}{x^3}+\sin\left(\pi x\right)$