$\lim_{x\to\infty}\left(x\:\sin\left(\frac{4\pi}{x}\right)\right)$

$\int\left(2x^3inx^2\right)dx$

$\frac{dy}{dx}=\frac{\left(y\left(1-y\right)\right)}{\left(x\left(1+y\right)\right)}$

$2a^3bc^2\sqrt{3ac}$

$3d-d$

$\frac{2}{3}\left(x-5\right)\frac{1}{2}x=-3$

$\left(8xy\:+\:3\right)\:\left(8xy\:-\:3\right)\:$