{"status": "success", "data": {"description_md": "The polynomial $1-x+x^2-x^3+\\cdots+x^{16}-x^{17}$ may be written in the form $a_0+a_1y+a_2y^2+\\cdots +a_{16}y^{16}+a_{17}y^{17}$, where $y=x+1$ and thet $a_i$'s are constants. Find the value of $a_2$.\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>The polynomial <span class=\"katex--inline\">1-x+x^2-x^3+\\cdots+x^{16}-x^{17}</span> may be written in the form <span class=\"katex--inline\">a_0+a_1y+a_2y^2+\\cdots +a_{16}y^{16}+a_{17}y^{17}</span>, where <span class=\"katex--inline\">y=x+1</span> and thet <span class=\"katex--inline\">a_i</span>'s are constants. Find the value of <span class=\"katex--inline\">a_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": 5, "problem_name": "1986 AIME Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/86_aime_p12", "prev": "/problem/86_aime_p10"}}