{"status": "success", "data": {"description_md": "Let $x$ and $y$ be real numbers satisfying $x^4y^5+y^4x^5=810$ and $x^3y^6+y^3x^6=945$. Evaluate $2x^3+(xy)^3+2y^3$.\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\">x</span> and <span class=\"katex--inline\">y</span> be real numbers satisfying <span class=\"katex--inline\">x^4y^5+y^4x^5=810</span> and <span class=\"katex--inline\">x^3y^6+y^3x^6=945</span>. Evaluate <span class=\"katex--inline\">2x^3+(xy)^3+2y^3</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": 6, "problem_name": "2015 AIME II Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/15_aime_II_p15", "prev": "/problem/15_aime_II_p13"}}