{"status": "success", "data": {"description_md": "If $x$ is the value\n\n$$\\frac{\\displaystyle\\sum_{n=1}^{44}\\cos(n)\\left(360-n\\left(8+4\\sqrt{2}\\right)\\right)}{\\displaystyle\\sum_{n=1}^{44}n\\sin\\left(n\\right)}$$\n\nwhere angle measures are in degrees, find $x^2$", "description_html": "<p>If <span class=\"katex--inline\">x</span> is the value</p>&#10;<p><span class=\"katex--display\">\\frac{\\displaystyle\\sum_{n=1}^{44}\\cos(n)\\left(360-n\\left(8+4\\sqrt{2}\\right)\\right)}{\\displaystyle\\sum_{n=1}^{44}n\\sin\\left(n\\right)}</span></p>&#10;<p>where angle measures are in degrees, find <span class=\"katex--inline\">x^2</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Grinding Aces Math Exam 2025 - Problem 11", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}