{"status": "success", "data": {"description_md": "An $m\\times n\\times p$ rectangular box has half the volume of an $(m+2)\\times(n+2)\\times(p+2)$ rectangular box, where $m, n,$ and $p$ are integers, and $m\\le n\\le p.$ What is the largest possible value of $p$?\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>An <span class=\"katex--inline\">m\\times n\\times p</span> rectangular box has half the volume of an <span class=\"katex--inline\">(m+2)\\times(n+2)\\times(p+2)</span> rectangular box, where <span class=\"katex--inline\">m, n,</span> and <span class=\"katex--inline\">p</span> are integers, and <span class=\"katex--inline\">m\\le n\\le p.</span> What is the largest possible value of <span class=\"katex--inline\">p</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": 6, "problem_name": "1998 AIME Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/98_aime_p15", "prev": "/problem/98_aime_p13"}}