{"status": "success", "data": {"description_md": "Let $f(n)$ be the minimum degree of all monic polynomials $p(x)$ such that for all integers $x$, $p(x)$ is an integer divisible by $n$. Find $f(69^{420})$.", "description_html": "<p>Let <span class=\"katex--inline\">f(n)</span> be the minimum degree of all monic polynomials <span class=\"katex--inline\">p(x)</span> such that for all integers <span class=\"katex--inline\">x</span>, <span class=\"katex--inline\">p(x)</span> is an integer divisible by <span class=\"katex--inline\">n</span>. Find <span class=\"katex--inline\">f(69^{420})</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "FE Moment", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}