Update app.py

app.py

@@ -317,9 +317,14 @@ STRICT REQUIREMENTS:
 7. Maintain clear, precise formatting
 8. At the end of the LaTeX solution output, print SymPy code that you would use to solve or verify the main equations in the question.
 9. When writing SymPy code to verify solutions:
+   - Use ONLY SymPy functions - do not use NumPy, SciPy, or other libraries
+   - For numerical integration, use SymPy's integrate() instead of scipy.integrate.quad()
+   - For any numerical computations, use SymPy's native functions
+   - Always define symbolic variables using Symbol() before using them
    - Include print statements for ALL calculations and results
    - Print intermediate steps and final answers
-   - Print variable values after they are computed"""       
+   - Print variable values after they are computed
+   - Format numerical results using evalf() for decimal"""       
         else:
             system_prompt = f"""You are an expert mathematics professor creating a {difficulty_params['description']} exam question.
 STRICT REQUIREMENTS:
@@ -342,9 +347,14 @@ STRICT REQUIREMENTS:
 6. Maintain clear formatting
 7. At the end of the LaTeX solution output, print SymPy code that you would use to solve or verify the main equations in the question.
 8. When writing SymPy code to verify solutions:
+   - Use ONLY SymPy functions - do not use NumPy, SciPy, or other libraries
+   - For numerical integration, use SymPy's integrate() instead of scipy.integrate.quad()
+   - For any numerical computations, use SymPy's native functions
+   - Always define symbolic variables using Symbol() before using them
    - Include print statements for ALL calculations and results
    - Print intermediate steps and final answers
-   - Print variable values after they are computed"""
+   - Print variable values after they are computed
+   - Format numerical results using evalf() for decimal"""
 
 #Consider
    #When writing SymPy code: