{"status": "success", "data": {"description_md": "What is the least positive integer $m$ such that $m \\cdot 2! \\cdot 3!\\cdot 4!\\cdot 5! ... 16!$ is a perfect square?\n\n$\\textbf{(A) }30\\qquad\\textbf{(B) }30030\\qquad\\textbf{(C) }70\\qquad\\textbf{(D) }1430\\qquad\\textbf{(E) }1001$", "description_html": "<p>What is the least positive integer <span class=\"katex--inline\">m</span> such that <span class=\"katex--inline\">m \\cdot 2! \\cdot 3!\\cdot 4!\\cdot 5! ... 16!</span> is a perfect square?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) }30\\qquad\\textbf{(B) }30030\\qquad\\textbf{(C) }70\\qquad\\textbf{(D) }1430\\qquad\\textbf{(E) }1001</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2023 AMC 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p16", "prev": "/problem/23_amc10B_p14"}}