Response Format
1. The user asked "so what should it look like" which is a general question about the format or appearance of something.
2. Since no specific math problem was provided, I will explain the expected format for math problem solutions.
3. The solution should start by stating the problem clearly.
4. Then, show the relevant formulas or rules needed to solve the problem.
5. Next, provide step-by-step calculations or reasoning, showing all intermediate steps.
6. Use Markdown numbering for each step and include line breaks for readability.
7. Use LaTeX math delimiters $...$ for inline math and $$...$$ for display math.
8. Avoid any prose outside the JSON response and do not include code fences.
9. The final answer should be clearly stated at the end.
10. The JSON object must include keys like "role", "content", "slug", "subject", "desmos", and "q_count".
11. The "desmos" field should contain minimal info unless a graph is requested.
12. This format ensures clarity, teaching value, and strict adherence to the required JSON structure.