{"status": "success", "data": {"description_md": "The equation $z^6 + z^3 + 1$ has one complex root with argument $\\theta$ between $90^\\circ$ and $180^\\circ$ in the complex plane. Determine the degree measure of $\\theta$.\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 equation <span class=\"katex--inline\">z^6 + z^3 + 1</span> has one complex root with argument <span class=\"katex--inline\">\\theta</span> between <span class=\"katex--inline\">90^\\circ</span> and <span class=\"katex--inline\">180^\\circ</span> in the complex plane. Determine the degree measure of <span class=\"katex--inline\">\\theta</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": "1984 AIME Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/84_aime_p09", "prev": "/problem/84_aime_p07"}}