{"status": "success", "data": {"description_md": "**POTD May 11, 2024**\n\nThree standard six sided die are rolled. The probability that the product of the integers on the top faces is a perfect cube can be written as $\\frac{m}{n}$, for relatively prime positive integers $m$ and $n.$ Find $m+n$.", "description_html": "<p><strong>POTD May 11, 2024</strong></p>&#10;<p>Three standard six sided die are rolled. The probability that the product of the integers on the top faces is a perfect cube can be written as <span class=\"katex--inline\">\\frac{m}{n}</span>, for relatively prime positive integers <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n.</span> Find <span class=\"katex--inline\">m+n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #153", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}