Update app.py

app.py

@@ -580,14 +580,13 @@ STRICT REQUIREMENTS:
         sympy_output = extract_and_run_sympy_code_simple(response_text)
 
         if sympy_output:
-            # Check if SymPy ran successfully
             if "Error" not in sympy_output:
-                resolution_text, has_discrepancy, revised_solution = check_and_resolve_discrepancy(response_text, 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}"
                 
             if has_discrepancy and revised_solution:
                     logger.debug("Performing final verification for problem with discrepancy")
-                    final_verification = perform_final_verification(revised_solution,sympy_correct)
+                    final_verification = perform_final_verification(revised_solution, sympy_correct)
                     response_text += "\n\nFinal Expert Verification:\n" + final_verification
         
         # Create LaTeX content
@@ -668,7 +667,8 @@ def check_and_resolve_discrepancy(initial_response, sympy_output):
     has_discrepancy = False #Initialize
     resolution_text = ""
     revised_solution = None
-
+    sympy_correct = None  # Initialize at the start
+    
     try:
         resolution_prompt = f"""Here is a mathematics question with two answers.
         The first, called Original solution, is a complete solution.