$\frac{dy}{dt}+6sin\left(t\right)y=6sin\left(t\right)$

$8x^6+125a^3$

$-2x-3+x-1$

$\frac{dy}{dx}=\frac{xy^2}{3}$

$3-7f+2g-f-4+4g$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{\cot\left(x\right)}{x-\frac{\pi}{2}}\right)$

$-\left(x^2-y^2\right)+xy+\left(-2x^2+3xy\right)-\left[-y^2+xy\right]$