{"status": "success", "data": {"description_md": "What is the least positive integer $m$ such that $m \\cdot 2! \\cdot 3!\\cdot 4!\\cdot 5! \\dots 16!$ 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! \\dots 16!</span>  is a perfect square?</p>\n<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>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "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"}}