Create a LISP program for the simplification and evaluation of arithmetic expressions$($PEMDAS$).$ The program, when executed, should prompt the user to enter an arithmetic expressions $("$Enter arithmetic expression: $")$

The expression should be a linear combination of single letter variables. The program will then simplify the expression $($like below$)$:

Enter arithmetic expression: $2$x $+13+$ y $-$ x

Simplification: x $+$ y $+13$

and then it will ask whether to evaluate the expression. If the answer is $\text{'}$y$\text{'}$ then it will prompt for values for each of the variables and evaluate the expression,then ask for a new expression to evaluate. If the answer is $\text{'}$n$\text{'},$ then it will simply ask for a new expression to evaluate. The program will quit with command 'quit' enter at the expression prompt.

Example of I$/$O:

Enter arithmetic expression: $2$x $+13+$ y $-$ x

Simplification: x $+$ y $+13$

Evaluate? $($y$/$n$)$: y

x : $1$

y : $3$

Expression value: $17$

$***$

Enter arithmetic expression: quit

Good Bye!

$($PLZ Add a pic of program runing$)$