$\frac{dy}{dt}=\frac{4t-3y+ty-12}{2y-3t+ty-6}$

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

$y'=\ln\left(x^2+x\right)$

$3x\left(x-1\right)-2y\left(x-1\right)+z\left(x-1\right)$

$\ln\left(x^2+x-2\right)=\ln\left(2x\right)+\ln\left(x-1\right)$

$x-3=20$

$\frac{d}{dx}\left(\arcsin\left(4x^2\right)\right)^2.n$