{"status": "success", "data": {"description_md": "Let $S$ be the sum of all numbers of the form $\\frac ab,$ where $a$ and $b$ are relatively prime positive divisors of $1000.$ What is the greatest integer that does not exceed $\\frac{S}{10}?$\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>Let <span class=\"katex--inline\">S</span> be the sum of all numbers of the form <span class=\"katex--inline\">\\frac ab,</span> where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are relatively prime positive divisors of <span class=\"katex--inline\">1000.</span> What is the greatest integer that does not exceed <span class=\"katex--inline\">\\frac{S}{10}?</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": 5, "problem_name": "2000 AIME I Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/00_aime_I_p12", "prev": "/problem/00_aime_I_p10"}}