{"status": "success", "data": {"description_md": "Let $m$ and $n$ be positive integers satisfying the conditions<br><br>$\\gcd(m+n,210) = 1,$<br>$m^m$ is a multiple of $n^n,$ and<br>$m$ is not a multiple of $n$.<br><br>Find the least possible value of $m+n$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Let <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> be positive integers satisfying the conditions<br/><br/><span class=\"katex--inline\">\\gcd(m+n,210) = 1,</span><br/><span class=\"katex--inline\">m^m</span> is a multiple of <span class=\"katex--inline\">n^n,</span> and<br/><span class=\"katex--inline\">m</span> is not a multiple of <span class=\"katex--inline\">n</span>.<br/><br/>Find the least possible value of <span class=\"katex--inline\">m+n</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2020 AIME I Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/20_aime_I_p11", "prev": "/problem/20_aime_I_p09"}}