{"status": "success", "data": {"description_md": "One of Euler's conjectures was disproved in then 1960s by three American mathematicians when they showed there was a positive integer $n$ such that $$133^5 + 110^5 + 84^5 + 27^5 = n^5. $$Find the value of $n$.\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>One of Euler&#8217;s conjectures was disproved in then 1960s by three American mathematicians when they showed there was a positive integer <span class=\"katex--inline\">n</span> such that <span class=\"katex--display\">133^5 + 110^5 + 84^5 + 27^5 = n^5. </span>Find the value of <span class=\"katex--inline\">n</span>.</p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "1989 AIME Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/89_aime_p10", "prev": "/problem/89_aime_p08"}}