{"status": "success", "data": {"description_md": "Given that $$\\frac{1}{5} + \\frac{2}{20} + \\frac{3}{85} + \\frac{4}{260} + \\frac{5}{629} + \\frac{6}{1300} + \\frac{7}{2405}$$ can be expressed in the form of $\\frac{m}{n}$, where $m$ and $n$ are positive relatively prime integers, compute $m + n$.", "description_html": "<p>Given that <span class=\"katex--display\">\\frac{1}{5} + \\frac{2}{20} + \\frac{3}{85} + \\frac{4}{260} + \\frac{5}{629} + \\frac{6}{1300} + \\frac{7}{2405}</span> can be expressed in the form of <span class=\"katex--inline\">\\frac{m}{n}</span>, where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are positive relatively prime integers, compute <span class=\"katex--inline\">m + n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Holiday Contest 2025 - Guts Round - Set 6 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}