$\frac{dx}{dt}=1+\frac{x}{t}$

$3cos^2x-1$

$\left(2x^2-3\right)\left(2x^3-x^2+4x\right)$

$cot^{-1}\left(tan\frac{\pi}{3}\right)$

$\frac{dy}{dx}-xy=2xy^{\frac{1}{2}}$

$cos\left(x\right)-\frac{\cos\left(x\right)}{1+\sin\left(x\right)}=\tan\left(x\right)$

$25q^2\:-\:120q\:+\:144$