Update app.py

app.py

@@ -624,19 +624,9 @@ Please provide:
 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 $ around inline math expressions. NEVER use parentheses or brackets
-       * CORRECT: The solution shows that $x = 5$ and $y = 3$
-       * WRONG: The solution shows that (x = 5) and (y = 3)
-   - Display equations get their own lines with $$ $$:
-       * CORRECT:
-            $$f(x) = x^2 + 2x + 1$$
-            $$g(x) = 2x + 3$$
-       * WRONG:
-            (f(x) = x^2 + 2x + 1)
-            [g(x) = 2x + 3]
+Important:
    - Put each solution step on its own line in $$ $$
-   - DO NOT use backslah backslash begin{{aligned}} or similar environments
+   - DO NOT use begin{{aligned}} or similar environments
    - For currency amounts in dollars, write out the word dollars instead of using $
       * Example: 1000 dollars
    - make sure there are never unmatched dollar signs as that will ruin the LaTeX rendering
@@ -649,7 +639,9 @@ Format your response with clear headers and bullet points."""
             messages=[
                 {
                     "role": "assistant",
-                    "content": "I am an expert mathematics professor who grades student solutions carefully and accurately."
+                    "content": "I am an expert mathematics professor who grades student solutions using LaTeX formatting. 
+                    When writing inline math, I always write math using proper LaTeX $ $ delimiters - NEVER the parentheses or brackets that some others use, NEVER the so-called LaTeX bracket notation. 
+                    I use $$ $$ for displayed equations."
                 },
                 {
                     "role": "user",