{"status": "success", "data": {"description_md": "If $a<b<c<d<e$ are consecutive positive integers such that $b+c+d$ is a perfect square and $a+b+c+d+e$ is a perfect cube, what is the smallest possible value of $c$?\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>If <span class=\"katex--inline\">a&lt;b&lt;c&lt;d&lt;e</span> are consecutive positive integers such that <span class=\"katex--inline\">b+c+d</span> is a perfect square and <span class=\"katex--inline\">a+b+c+d+e</span> is a perfect cube, what is the smallest possible value of <span class=\"katex--inline\">c</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": "1989 AIME Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/89_aime_p05", "prev": "/problem/89_aime_p03"}}