Solve mathematical Expression using stacks

C++ program (using stacks) that reads from the user a mathematical expression like:
(3+(4-9) * (3/4) * (3+2))

1. The program should check if the expression is correct
1.1 An expression is correct if:
the parantheses are correctly added and are balanced
examples of not correct expressions can be:
)9+8(
(((8-1)
etc

Assuming that the numbers are only one digit

2. If the expression is correct, the program should evaluate the expression and display the result.