fix(bot): better buttons

backend/src/bot/modules/ai/agent.py

@@ -104,14 +104,12 @@ async def get_follow_ups(
     message_history = build_message_history(history) if history else None
 
     if images:
-        prompt: list[str | BinaryContent] = [
-            "Suggest follow-up options based on this conversation and images.",
-        ]
+        prompt: list[str | BinaryContent] = ["Process this:"]
         prompt.extend(
             BinaryContent(data=img.data, media_type=img.media_type) for img in images
         )
     else:
-        prompt = "Suggest follow-up questions based on this conversation."  # type: ignore[assignment]
+        prompt = "Process this conversation."  # type: ignore[assignment]
 
     result = await follow_up_agent.run(prompt, message_history=message_history)
     return result.output["options"]

backend/src/bot/modules/ai/prompts.py

@@ -12,14 +12,13 @@ When asked for DETAILS on a specific problem (or a problem number):
 - Academic style, as it would be written in a notebook
 - Step by step, clean, no fluff"""
 
-EXAM_FOLLOW_UP = """You see a problem set image. List available problem numbers.
-Output only the numbers that exist in the image, like: 1, 2, 3, 4, 5
-If problems have letters (a, b, c), list them as: 1a, 1b, 2a, etc.
-Keep it minimal - just the identifiers."""
+EXAM_FOLLOW_UP = """Look at the problem set image and list problem numbers as options.
+If problems have sub-parts (a, b, c), list as: 1a, 1b, 2a, etc.
+Only output identifiers that exist in the image."""
 
 DEFAULT_FOLLOW_UP = (
     "Based on the conversation, suggest 3 short follow-up questions "
-    "the user might want to ask. Be concise, each under 50 chars."
+    "the user might want to ask. Each option should be under 50 characters."
 )
 
 SUMMARIZE_PROMPT = """You are summarize agent. You may receive: