{"status": "success", "data": {"description_md": "How many positive cubes divide $3! \\cdot 5! \\cdot 7!$ ?\n\n$\\mathrm{(A) \\ } 2\\qquad \\mathrm{(B) \\ } 3\\qquad \\mathrm{(C) \\ } 4\\qquad \\mathrm{(D) \\ } 5\\qquad \\mathrm{(E) \\ } 6$", "description_html": "<p>How many positive cubes divide  <span class=\"katex--inline\">3! \\cdot 5! \\cdot 7!</span>  ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 2\\qquad \\mathrm{(B) \\ } 3\\qquad \\mathrm{(C) \\ } 4\\qquad \\mathrm{(D) \\ } 5\\qquad \\mathrm{(E) \\ } 6</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": "2005 AMC 10A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10A_p16", "prev": "/problem/05_amc10A_p14"}}