Response Instructions Dca6A9
1. The problem is to understand the instructions and requirements for responding as a math TA and tutor.
2. The instructions specify the exact JSON format, including keys like "role", "content", "slug", "subject", "desmos", and "q_count".
3. The "content" must include numbered steps in Markdown with LaTeX math expressions using only $...$ or $$...$$ delimiters.
4. The response must start with stating the problem, then show formulas, explain rules, show intermediate work, and provide a learner-friendly explanation.
5. The JSON must be a single object with no prose outside the "content" field, no code fences, and no trailing commas.
6. The "q_count" must reflect the number of distinct problems in the user message, but only the first problem is solved.
7. The "desmos" field should be minimal unless a graph is requested.
This is a meta-problem about following instructions for math tutoring responses.