$\left(\frac{dy}{dx}+3y+5=0\right)$

$4x\:+\:8y\:+\:12z\:=\:4\left(x\:+\:2y\:+\:3z\right)$

$y^2+15y$

$\lim_{x\to-1}\frac{x^2+2x+1}{x^4-1}$

$-2\sin\left(x\right)\sin\left(5x\right)$

$\frac{24x^{3}y^{4}}{6x^{2}y^{5}}$

$\lim_{x\to\infty}\left(\frac{4x^3+3}{2x^3+3x}\right)^{\frac{x^2+2}{x^2}}$