{"status": "success", "data": {"description_md": "Find the sum of all positive integers $b<1000$ such that the base-$b$ integer $36_b$ is a perfect square and the base-$b$ integer $27_b$ is a perfect cube.\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\">b&lt;1000</span> such that the base-<span class=\"katex--inline\">b</span> integer <span class=\"katex--inline\">36_b</span> is a perfect square and the base-<span class=\"katex--inline\">b</span> integer <span class=\"katex--inline\">27_b</span> is a perfect cube.</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": "2018 AIME II Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/18_aime_II_p04", "prev": "/problem/18_aime_II_p02"}}