$\sqrt{3}\csc x-2=0$

$\frac{dy}{dx}=\frac{x^2-15}{15y^2}$

$\int\frac{8+3x-x^2}{\left(2x-3\right)\left(x+2\right)^2}dx$

$7+3\left(8-5\right)$

$6^2:\:4+3\cdot9-3$

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

$\log\left(2^x+3\right)-2\left(\log\left(\frac{2^x-1}{2}\right)\right)-\log\left(2\right)$