$\left(2x^4y^3\right)^{-1}$

$\frac{dy}{dx}\left(xy+x-3y=5\right)$

$\:y-1+20y^2$

$y:\frac{\left(\tan\theta+1\right)\left(\tan\theta+1\right)-\sec^2\theta}{\tan\theta}$

$3\ln\left(x-4\right)-\ln\left(9-x\right)$

$m^2+16m+65$

$\int\frac{1}{\left(19-18x-x^2\right)^{\frac{3}{2}}}dx$