{"status": "success", "data": {"description_md": "Find the sum of all positive integers $a=2^{n}3^{m},$ where $n$ and $m$ are non-negative integers, for which $a^{6}$ is not a divisor of $6^{a}.$\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>Find the sum of all positive integers <span class=\"katex--inline\">a=2^{n}3^{m},</span> where <span class=\"katex--inline\">n</span> and <span class=\"katex--inline\">m</span> are non-negative integers, for which <span class=\"katex--inline\">a^{6}</span> is not a divisor of <span class=\"katex--inline\">6^{a}.</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": 3, "problem_name": "2002 AIME II Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/02_aime_II_p06", "prev": "/problem/02_aime_II_p04"}}