{"status": "success", "data": {"description_md": "**POTD April 15, 2024**\n\nFind the number of values of $n \\in \\mathbb{Z}$ with $1 \\leq n \\leq 2017$ such that $n(n-2)(n-1)(n-7)$ is an integer\nmultiple of $1001$.", "description_html": "<p><strong>POTD April 15, 2024</strong></p>&#10;<p>Find the number of values of <span class=\"katex--inline\">n \\in \\mathbb{Z}</span> with <span class=\"katex--inline\">1 \\leq n \\leq 2017</span> such that <span class=\"katex--inline\">n(n-2)(n-1)(n-7)</span> is an integer<br/>&#10;multiple of <span class=\"katex--inline\">1001</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #128", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}