{"status": "success", "data": {"description_md": "Let $$x=\\frac{4}{(\\sqrt{5}+1)(\\sqrt[4]{5}+1)(\\sqrt[8]{5}+1)(\\sqrt[16]{5}+1)}. $$Find $(x+1)^{48}$.\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--display\">x=\\frac{4}{(\\sqrt{5}+1)(\\sqrt[4]{5}+1)(\\sqrt[8]{5}+1)(\\sqrt[16]{5}+1)}.</span>Find <span class=\"katex--inline\">(x+1)^{48}</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": 4, "problem_name": "2005 AIME II Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/05_aime_II_p08", "prev": "/problem/05_aime_II_p06"}}