{"status": "success", "data": {"description_md": "*This is a user suggested problem. The TopsOJ staff thanks and gives full credit to [yujhtheyujh](https://www.topsoj.com/users/yujhtheyujh/profile) for their contribution.*\n\n****\n\nLet $f(x) + 45f\\left(\\dfrac{1}{x}\\right) = 2024x$ for all $x \\in \\mathbb{R}$ in its domain. Find the the absolute value of the sum of all $k$ such that $k \\in \\mathbb{Z}$ and $f(k) \\in \\mathbb{Z}^+$.", "description_html": "<p><em>This is a user suggested problem. The TopsOJ staff thanks and gives full credit to <a href=\"https://www.topsoj.com/users/yujhtheyujh/profile\">yujhtheyujh</a> for their contribution.</em></p>&#10;<hr/>&#10;<p>Let <span class=\"katex--inline\">f(x) + 45f\\left(\\dfrac{1}{x}\\right) = 2024x</span> for all <span class=\"katex--inline\">x \\in \\mathbb{R}</span> in its domain. Find the the absolute value of the sum of all <span class=\"katex--inline\">k</span> such that <span class=\"katex--inline\">k \\in \\mathbb{Z}</span> and <span class=\"katex--inline\">f(k) \\in \\mathbb{Z}^+</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Uncreative Function", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}