{"status": "success", "data": {"description_md": "Find the sum of the values of $x$ such that $\\cos^3 3x+ \\cos^3 5x = 8 \\cos^3 4x \\cos^3 x$, where $x$ is measured in degrees and $100< x< 200$.\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 the sum of the values of <span class=\"katex--inline\">x</span> such that <span class=\"katex--inline\">\\cos^3 3x+ \\cos^3 5x = 8 \\cos^3 4x \\cos^3 x</span>, where <span class=\"katex--inline\">x</span> is measured in degrees and <span class=\"katex--inline\">100&lt; x&lt; 200</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": "2006 AIME I Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/06_aime_I_p13", "prev": "/problem/06_aime_I_p11"}}