$\lim_{x\to0}\left(\ln\left(e\right)\right)^{\frac{1}{x-e}}$

$5y-2\left(y-3x^2\right)+2\left(7x^2-y\right)$

$\lim_{x\to0}\left(cos\left(3x\right)sin\left(4x\right)\right)^{\frac{1}{x}}$

$\frac{d}{dx}5x^2+\frac{3}{x}$

$8k^3=343m^3$

$5^2+2\left(5\right)\left(5\right)+5^2$

$\int\frac{x}{\sqrt{\sqrt{\left(x+6\right)^3}+x^2+6}}dx$