{"status": "success", "data": {"description_md": "How many real values of $x \\in [0, 2\\pi]$ satisfy $\\cos(x)\\sin(2x)+\\sin(x)\\cos(3x)=0$?", "description_html": "<p>How many real values of <span class=\"katex--inline\">x \\in [0, 2\\pi]</span> satisfy <span class=\"katex--inline\">\\cos(x)\\sin(2x)+\\sin(x)\\cos(3x)=0</span>?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Holiday Contest 2025 - Team Round - Problem 13", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}