$\begin{array}{l}\mathrm{simplify}\left(\right(x^3+x^2-x-1)/(x^2+2x+1\left)\right)\\ \mathrm{>>>}x-1\end{array}$

$\begin{array}{l}\mathrm{collect}(x*y+x-3+2x^2-z{x}^2+x^3,x)\\ \mathrm{>>>}{x}^3+x^2*(-z+2)+x*(y+1)-3\end{array}$

$\begin{array}{l}\mathrm{expand}\left({(x+1)}^2\right)\\ \mathrm{>>>}{x}^2+2*x+1\end{array}$

$\begin{array}{l}\mathrm{factor}(x^3-x^2+x-1)\\ \mathrm{>>>}(x-1)*(x^2+1)\end{array}$

$\begin{array}{l}\mathrm{ratsimp}(\frac{1}{x}+\frac{1}{y})\\ \mathrm{>>>}\frac{x+y}{x*y}\end{array}$

$\begin{array}{l}\mathrm{lcm}(9,6)\\ \mathrm{>>>}18\end{array}$

$\begin{array}{l}\mathrm{lcm}(x*y^2+x^2*y,x^2*y^2)\\ \mathrm{>>>}{x}^3*y^2+x^2*y^3\end{array}$

$\begin{array}{l}\gcd (9,6)\\ \mathrm{>>>}3\end{array}$

$\begin{array}{l}\gcd (x*y^2+x^2*y,x^2*y^2)\\ \mathrm{>>>}x*y\end{array}$

$\begin{array}{l}\mathrm{subs}(x+5,x,1)\\ \mathrm{>>>}6\end{array}$