Update app.py

app.py

@@ -625,15 +625,20 @@ Please provide:
 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
-   - Use $$ on separate lines for equations
+   - Use $ around inline math expressions. NEVER use parentheses or brackets
+       * CORRECT: The solution shows that $x = 5$ and $y = 3$
+       * WRONG: The solution shows that (x = 5) and (y = 3)
+   - Display equations get their own lines with $$ $$:
+       * CORRECT:
+            $$f(x) = x^2 + 2x + 1$$
+            $$g(x) = 2x + 3$$
+       * WRONG:
+            (f(x) = x^2 + 2x + 1)
+            [g(x) = 2x + 3]
    - Put each solution step on its own line in $$ $$
    - DO NOT use backslah backslash begin{{aligned}} or similar environments
-   - 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.
+   - For currency amounts in dollars, write out the word dollars instead of using $
       * Example: 1000 dollars
-   - Never use parentheses or brackets around expressions, just use the dollar signs
-      * WRONG: The student notes that ( x = 0 ) and ( y = 0 )
-      * Use the LaTeX dollar sign notation instead of ( ) or [ ]
    - make sure there are never unmatched dollar signs as that will ruin the LaTeX rendering
 
 Format your response with clear headers and bullet points."""