1. The problem is to organize the JSON object format I provided earlier, making sure it follows the requested schema and formatting rules. 2. We start by stating the role as "assistant". 3. The content must be Markdown with LaTeX showing numbered steps to solve a math or related problem. 4. The slug is a short title for the problem, consisting of 2-3 words. 5. The subject identifies the relevant field such as algebra or physics. 6. The desmos field must contain a LaTeX string for the function to graph and features like intercepts and extrema booleans. 7. The q_count must be an integer equal to the number of distinct questions solved. 8. The entire object must start with { and end with } with no trailing commas, and all keys must be in double quotes. 9. LaTeX math must be properly formatted with $...$ for inline and $$...$$ for display, and backslashes escaped (\\) in JSON. 10. No prose outside the JSON object and no code fences are allowed. This explanation finalizes the organization and formatting required for the JSON response. q_count is 1 since this is a single instruction.