Update app.py

app.py

@@ -148,13 +148,19 @@ def generate_question(subject, difficulty, question_type):
             "Single Variable Calculus": ["limits", "derivatives", "integrals", "series", "applications"],
             "Multivariable Calculus": ["partial derivatives", "multiple integrals", "vector fields", "optimization"],
             "Linear Algebra": ["matrices", "vector spaces", "eigenvalues", "linear transformations"],
+            "Differential Equations": ["first order equations", "second order equations", "systems", "stability analysis"],
+            "Real Analysis": ["sequences", "series", "continuity", "differentiation", "integration"],
+            "Complex Analysis": ["complex functions", "analyticity", "contour integration", "residues"],
+            "Abstract Algebra": ["groups", "rings", "fields", "homomorphisms"],
+            "Probability Theory": ["probability spaces", "random variables", "distributions", "limit theorems"],
+            "Numerical Analysis": ["approximation", "interpolation", "numerical integration", "error analysis"],
+            "Topology": ["metric spaces", "continuity", "compactness", "connectedness"]
         }
         
         selected_topic = random.choice(topics.get(subject, ["general"]))
         logger.debug(f"Selected topic: {selected_topic}")
         
         difficulty_params = get_difficulty_parameters(difficulty)
-        [Previous code remains the same until the system_prompt section...]
 
         if question_type == "application":
             application_addition = """
@@ -233,6 +239,53 @@ STRICT REQUIREMENTS:
    - How to interpret the results
 6. Maintain clear formatting"""
         else:
+            # Standard prompts for computation and proof questions
+            if difficulty == 5:
+                system_prompt = f"""You are an expert mathematics professor creating a graduate-level exam question.
+STRICT REQUIREMENTS:
+1. Write exactly 1 graduate-level {question_type} question on {subject} covering {selected_topic}.
+2. Advanced Difficulty Requirements:
+   This question must be suitable for PhD qualifying exams or advanced competitions.
+   MUST include:
+   - Novel applications of theoretical concepts
+   - Graduate-level mathematical reasoning
+   - Unexpected connections between different areas of {subject}
+   - Creative problem-solving approaches
+   - Rigorous proof requirements where applicable
+   
+   Follow these specific constraints:
+   {chr(10).join(f'   - {c}' for c in difficulty_params['constraints'])}
+3. Style Reference:
+   Question should be {difficulty_params['example_style']}
+4. The question MUST:
+   - Bridge multiple mathematical domains
+   - Require deep theoretical understanding
+   - Test mastery of advanced concepts
+   - Demand innovative solution approaches
+5. For LaTeX formatting:
+   - Use $ for inline math
+   - Use $$ on separate lines for equations and solutions
+   - Put each solution step on its own line in $$ $$
+   - DO NOT use \\begin{{aligned}} or similar environments
+6. Include a detailed solution with thorough explanations of advanced concepts used
+7. Maintain clear, precise formatting"""
+            else:
+                system_prompt = f"""You are an expert mathematics professor creating a {difficulty_params['description']} exam question.
+STRICT REQUIREMENTS:
+1. Write exactly 1 {question_type} question on {subject} covering {selected_topic}.
+2. Difficulty Level Guidelines:
+   {difficulty_params['description'].upper()}
+   Follow these specific constraints:
+   {chr(10).join(f'   - {c}' for c in difficulty_params['constraints'])}
+3. Style Reference:
+   Question should be {difficulty_params['example_style']}
+4. For LaTeX formatting:
+   - Use $ for inline math
+   - Use $$ on separate lines for equations and solutions
+   - Put each solution step on its own line in $$ $$
+   - DO NOT use \\begin{{aligned}} or similar environments
+5. Include a detailed solution
+6. Maintain clear formatting"""
         
         logger.debug("Sending request to Anthropic API")
         message = anthropic.messages.create(