1. The problem is to understand how to follow the given instructions for formatting math solutions in JSON with LaTeX. 2. The instructions require using numbered steps in Markdown, stating the problem, showing formulas, explaining rules, and showing all intermediate work with LaTeX. 3. Important rules include using only $...$ or $$...$$ for math, never mixing inline and display math improperly, and showing canceled factors with \cancel{}. 4. The JSON must have keys in double quotes, no trailing commas, and the content must be a single string with line breaks \n for readability. 5. The "content" field must explain the problem and solution clearly, with detailed steps and intermediate calculations. 6. The "desmos" field should be minimal unless a graph is requested. 7. The "q_count" must reflect the number of distinct problems answered. This explanation summarizes how to do the task as requested.