{"status": "success", "data": {"description_md": "Let $f$ be a linear polynomial such that $f(1) = 0$, $f(5) = 2n$, and $f(n) = 6$. Compute the sum of all possible values of $f(3)$.", "description_html": "<p>Let <span class=\"katex--inline\">f</span> be a linear polynomial such that <span class=\"katex--inline\">f(1) = 0</span>, <span class=\"katex--inline\">f(5) = 2n</span>, and <span class=\"katex--inline\">f(n) = 6</span>. Compute the sum of all possible values of <span class=\"katex--inline\">f(3)</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Holiday Contest 2025 - Guts Round - Set 2 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}