{"status": "success", "data": {"description_md": "What is the largest integer that is a divisor of\n$$(n+1)(n+3)(n+5)(n+7)(n+9)$$\nfor all positive even integers $n$?\n\n$\\textbf{(A) } 3 \\qquad\\textbf{(B) } 5 \\qquad\\textbf{(C) } 11 \\qquad\\textbf{(D) } 15 \\qquad\\textbf{(E) } 165$", "description_html": "<p>What is the largest integer that is a divisor of<br/>\n <span class=\"katex--display\">(n+1)(n+3)(n+5)(n+7)(n+9)</span> <br/>\nfor all positive even integers  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 3 \\qquad\\textbf{(B) } 5 \\qquad\\textbf{(C) } 11 \\qquad\\textbf{(D) } 15 \\qquad\\textbf{(E) } 165</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": "2003 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p19", "prev": "/problem/03_amc10B_p17"}}