{"status": "success", "data": {"description_md": "The function $f$ is defined on the set of integers and satisfies $$ f(n)=\\begin{cases} n-3 & \\text{if } n\\ge 1000 \\\\ f(f(n+5)) & \\text{if } n<1000\\end{cases} $$ Find $f(84)$.\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>The function <span class=\"katex--inline\">f</span> is defined on the set of integers and satisfies <span class=\"katex--display\"> f(n)=\\begin{cases} n-3 &amp; \\text{if } n\\ge 1000 \\\\ f(f(n+5)) &amp; \\text{if } n&lt;1000\\end{cases} </span> Find <span class=\"katex--inline\">f(84)</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": "1984 AIME Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/84_aime_p08", "prev": "/problem/84_aime_p06"}}