{"status": "success", "data": {"description_md": "Let $k$ be the largest positive integer such that $7^{4k}$ is a divisor of $(777!)^2$. What is the sum of the digits of $k$?\n\n$(\\textbf{A})\\;9\\quad(\\textbf{B})\\;12\\quad(\\textbf{C})\\;11\\quad(\\textbf{D})\\;10\\quad(\\textbf{E})\\;13$", "description_html": "<p>Let <span class=\"katex--inline\">k</span> be the largest positive integer such that <span class=\"katex--inline\">7^{4k}</span> is a divisor of <span class=\"katex--inline\">(777!)^2</span>. What is the sum of the digits of <span class=\"katex--inline\">k</span>?</p>&#10;<p><span class=\"katex--inline\">(\\textbf{A})\\;9\\quad(\\textbf{B})\\;12\\quad(\\textbf{C})\\;11\\quad(\\textbf{D})\\;10\\quad(\\textbf{E})\\;13</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Mock AMC 8 #1 - Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/amc8mock1-p22", "prev": "/problem/amc8mock1-p20"}}