Update app.py

app.py

@@ -614,13 +614,15 @@ Student's Solution:
 {main_solution}
 
 {f"The student also provided the following SymPy verification of their solution: {sympy_section}" if sympy_section else ""}
+Please consider this in your assessment of the work.
 
 Please provide:
 1. A brief point-by-point analysis of the solution
 2. Specific comments on any errors or oversights
 3. Suggestions for improvement (if any)
 4. A numerical score out of 100 based on the criteria above
-5. Finally, if and only if the numerical score is less than 90 out of 100, present a complete revised solution to which you would award a score of 100
+5. Finally, if and only if the numerical score is less than 90 out of 100, present a complete revised solution to which you would award a score of 100. 
+The complete revised solution if you provide one must show ALL steps and be fully self-contained.
 
 Important: When writing mathematical expressions, use these formatting rules re LaTeX
    - Use $ for inline math
@@ -630,6 +632,7 @@ Important: When writing mathematical expressions, use these formatting rules re
    - When writing questions involving currency expressed in dollars NEVER use the `$` symbol as it will be interepreted as math mode. ALWAYS write out the word dollars.
       * Example: 1000 dollars
    - Never use parentheses or brackets around expressions, just use the dollar signs
+   - make sure there are never unmatched dollar signs as that will ruin the LaTeX rendering
 
 Format your response with clear headers and bullet points."""