{"status": "success", "data": {"description_md": "The solution to the functional equation $21f(x)-7f(\\frac{1}{x})=12x$ can be represented as $f(x) = \\frac{mx}{n} + \\frac{p}{qx}$, where $\\gcd(m, n) = 1$ and $\\gcd(p, q) = 1$. Determine $m + n + p + q$.", "description_html": "<p>The solution to the functional equation <span class=\"katex--inline\">21f(x)-7f(\\frac{1}{x})=12x</span> can be represented as <span class=\"katex--inline\">f(x) = \\frac{mx}{n} + \\frac{p}{qx}</span>, where <span class=\"katex--inline\">\\gcd(m, n) = 1</span> and <span class=\"katex--inline\">\\gcd(p, q) = 1</span>. Determine <span class=\"katex--inline\">m + n + p + q</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Christmas Contest - Guts Round - Set 6 Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}