1. The problem is to understand the requirements for formatting the JSON output for math assistance. 2. We must follow specific JSON structure with keys role, content, slug, subject, desmos, and q_count. 3. In content, we must detail numbered markdown steps with latex math expressions clearly and correctly. 4. The output must be one compact JSON object with no extra prose or code fences. 5. The latex math must only use $...$ or $$...$$ for inline and display math respectively. 6. This ensures clarity, learner-friendliness, and strict formatting for math problem explanations. Final answer: This explanation is a meta response to the instructions for formatting answers properly.