Update app.py

app.py

@@ -847,6 +847,9 @@ j. **Concluding and Intuitive Explanations**
         sympy_output = extract_and_run_sympy_code_simple(response_text)
 
         if sympy_output:
+            has_discrepancy = False  # Initialize here
+            sympy_correct = None
+            revised_solution = None
             if "Error" not in sympy_output:
                 resolution_text, has_discrepancy, revised_solution, sympy_correct = check_and_resolve_discrepancy(response_text, sympy_output)
                 response_text = f"{response_text}\n\nSymPy Verification Results:\n```\n{sympy_output}\n```\n\nVerification Analysis:\n{resolution_text}"