{"status": "success", "data": {"description_md": "Let $r$, $s$, and $t$ be the three roots of the equation\n$$ 8x^3+1001x+2008=0. $$Find $(r+s)^3+(s+t)^3+(t+r)^3$.\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\">r</span>, <span class=\"katex--inline\">s</span>, and <span class=\"katex--inline\">t</span> be the three roots of the equation<br/>&#10;<span class=\"katex--display\"> 8x^3+1001x+2008=0. </span>Find <span class=\"katex--inline\">(r+s)^3+(s+t)^3+(t+r)^3</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": 4, "problem_name": "2008 AIME II Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/08_aime_II_p08", "prev": "/problem/08_aime_II_p06"}}