$\frac{dy}{dx}=\frac{3x\:+y-1}{6x+2y\:-3}$

$\frac{d}{dx}\frac{2}{3}x^{\frac{3}{2}}-2x^{\frac{1}{2}}$

$1-2sin^2\left(165^\circ\right)$

$\left|\frac{a}{b}\right|=\left|\frac{a}{b}\right|$

$e^x\cdot\frac{dy}{dx}-2x=0$

$-6\left(2t+1\right)-3$

$\int\frac{8x+7}{\left(12x^2+21x\right)^5}dx$