{"status": "success", "data": {"description_md": "Given that<br>$x_{1}=211$ <br>$x_{2}=375$, <br>$x_{3}=420$, <br>$x_{4}=523$, and\n$x_{n}=x_{n-1}-x_{n-2}+x_{n-3}-x_{n-4} \\text{ when } n \\geq 5$, find the value of $x_{531}+x_{753}+x_{975}$.\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>Given that<br/><span class=\"katex--inline\">x_{1}=211</span> <br/><span class=\"katex--inline\">x_{2}=375</span>, <br/><span class=\"katex--inline\">x_{3}=420</span>, <br/><span class=\"katex--inline\">x_{4}=523</span>, and<br/>&#10;<span class=\"katex--inline\">x_{n}=x_{n-1}-x_{n-2}+x_{n-3}-x_{n-4} \\text{ when } n \\geq 5</span>, find the value of <span class=\"katex--inline\">x_{531}+x_{753}+x_{975}</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": 3, "problem_name": "2001 AIME II Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/01_aime_II_p04", "prev": "/problem/01_aime_II_p02"}}