$\frac{dy}{dx}\left(x^3y-2xy^2=1\right)$

$y=\left(x+5\right)\left(x-3\right)$

$3ab-4bc-5ab+6bc$

$\tan\left(b\right)\left(\cot\left(b\right)+\tan\left(b\right)\right)=\sec\left(b\right)^2$

$\int\left(\frac{x-2x^3}{x^2}\right)dx$

$\left(d+3r\right)^5$

$\frac{a^{\frac{1}{2}}}{a^{\frac{3}{2}}}$