{"status": "success", "data": {"description_md": "Let $x=\\frac{\\displaystyle\\sum_{n=1}^{44} \\cos n^\\circ}{\\displaystyle \\sum_{n=1}^{44} \\sin n^\\circ}.$ What is the greatest integer that does not exceed $100x$?\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\">x=\\frac{\\displaystyle\\sum_{n=1}^{44} \\cos n^\\circ}{\\displaystyle \\sum_{n=1}^{44} \\sin n^\\circ}.</span> What is the greatest integer that does not exceed <span class=\"katex--inline\">100x</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": 5, "problem_name": "1997 AIME Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/97_aime_p12", "prev": "/problem/97_aime_p10"}}