{"status": "success", "data": {"description_md": "Suppose that the sum of the squares of two complex numbers $x$ and $y$ is 7 and the sum of the cubes is 10. What is the largest real value that $x + y$ can have?\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>Suppose that the sum of the squares of two complex numbers <span class=\"katex--inline\">x</span> and <span class=\"katex--inline\">y</span> is 7 and the sum of the cubes is 10. What is the largest real value that <span class=\"katex--inline\">x + y</span> can have?</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": 3, "problem_name": "1983 AIME Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/83_aime_p06", "prev": "/problem/83_aime_p04"}}