{"status": "success", "data": {"description_md": "Let $P(x)$ be a quadratic polynomial with complex coefficients whose $x^2$ coefficient is $1$. Suppose the equation $P(P(x))=0$ has four distinct solutions, $x=3,4,a,b$. Find the sum of all possible values of $(a+b)^2$.\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\">P(x)</span> be a quadratic polynomial with complex coefficients whose <span class=\"katex--inline\">x^2</span> coefficient is <span class=\"katex--inline\">1</span>. Suppose the equation <span class=\"katex--inline\">P(P(x))=0</span> has four distinct solutions, <span class=\"katex--inline\">x=3,4,a,b</span>. Find the sum of all possible values of <span class=\"katex--inline\">(a+b)^2</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": "2020 AIME I Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/20_aime_I_p15", "prev": "/problem/20_aime_I_p13"}}