{"status": "success", "data": {"description_md": "Find $a$ if $a$ and $b$ are integers such that $x^2 - x - 1$ is a factor of $ax^{17} + bx^{16} + 1$.\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>Find <span class=\"katex--inline\">a</span> if <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are integers such that <span class=\"katex--inline\">x^2 - x - 1</span> is a factor of <span class=\"katex--inline\">ax^{17} + bx^{16} + 1</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": "1988 AIME Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/88_aime_p14", "prev": "/problem/88_aime_p12"}}