{"status": "success", "data": {"description_md": "What is the largest positive integer $n$ for which there is a unique integer $k$ such that $\\frac{8}{15} < \\frac{n}{n + k} < \\frac{7}{13}$?\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>What is the largest positive integer <span class=\"katex--inline\">n</span> for which there is a unique integer <span class=\"katex--inline\">k</span> such that <span class=\"katex--inline\">\\frac{8}{15} &lt; \\frac{n}{n + k} &lt; \\frac{7}{13}</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": 4, "problem_name": "1987 AIME Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/87_aime_p09", "prev": "/problem/87_aime_p07"}}