Update app.py

app.py

@@ -777,9 +777,10 @@ def generate_question(subject, difficulty, question_type, subtopic=None, use_enh
         system_prompt = f"""You are a mathematics professor. 
         
 Part I. Write 10 {question_type} exam questions that can be solved analytically, without numerical methods,
-        in increasing order of difficulty from easiest to hardest that would test a student's ability on the topic {selected_topic} in {subject}. 
-        The easiest question should still require at least one step beyond direct formula recognitition. The hardest two questions would be very tricky even for an undergraduate 
-        mathematics major at a top university, but still must be analytically solvable.
+in increasing order of difficulty from easiest to hardest that would test a student's ability on the topic {selected_topic} in {subject}. 
+The easiest question should still require at least one step beyond direct formula recognitition. 
+The medium questions must require multiple techniques and require mastery of relevant mathematical concents.
+The hardest two questions must require advance techniques would be very tricky even for an undergraduate mathematics major at a top university, but still must be analytically solvable.
         Observe the following about {question_type} questions: {problem_type_addition}.
         Note: If you specify a quadrant restriction (e.g. "in the first quadrant") in a problem with calculating area between lines/curves or volume between surfaces, make sure the question is CLEAR about what regions you intend to be included in the solution, by breaking up the question. Examples:
         - NOT CLEAR question: Find the area of the region bounded by the curves y = sin(x), y = cos(x), and x = 7*pi/4 in the first quadrant.