$\lim_{m\to0}\frac{\ln\left(x+m\right)+\left(x+m\right)^5-\left(\ln\left(x+x^5+\sin\left(x\right)\right)\right)}{m}$

$4\left(x+y\right)^2-9\left(x-y\right)^2$

$3x^2-12x-180$

$\int x^5e^{-x^3}dx$

$\frac{3\left(a-b\right)}{9}+\frac{4}{9}$

$\frac{-x^2-5x-60}{x\cdot\left(x+4\right)\left(x-3\right)}$

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