{"status": "success", "data": {"description_md": "Let $f(x)$ be a third-degree polynomial with real coefficients satisfying<br>\n$$|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12. $$ Find $|f(0)|$.\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\">f(x)</span> be a third-degree polynomial with real coefficients satisfying<br/><span class=\"katex--display\">|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12.</span> Find <span class=\"katex--inline\">|f(0)|</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": 5, "problem_name": "2015 AIME I Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/15_aime_I_p11", "prev": "/problem/15_aime_I_p09"}}