{"status": "success", "data": {"description_md": "A group of $12$ pirates agree to divide a treasure chest of gold coins among themselves as follows. The $k^\\text{th}$ pirate to take a share takes $\\frac{k}{12}$ of the coins that remain in the chest. The number of coins initially in the chest is the smallest number for which this arrangement will allow each pirate to receive a positive whole number of coins. How many coins does the $12^{\\text{th}}$ pirate receive?\n\n$\\textbf{(A)} \\ 720 \\qquad  \\textbf{(B)} \\ 1296 \\qquad  \\textbf{(C)} \\ 1728 \\qquad  \\textbf{(D)} \\ 1925 \\qquad  \\textbf{(E)} \\ 3850$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A group of  <span class=\"katex--inline\">12</span>  pirates agree to divide a treasure chest of gold coins among themselves as follows. The  <span class=\"katex--inline\">k^\\text{th}</span>  pirate to take a share takes  <span class=\"katex--inline\">\\frac{k}{12}</span>  of the coins that remain in the chest. The number of coins initially in the chest is the smallest number for which this arrangement will allow each pirate to receive a positive whole number of coins. How many coins does the  <span class=\"katex--inline\">12^{\\text{th}}</span>  pirate receive?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)} \\ 720 \\qquad  \\textbf{(B)} \\ 1296 \\qquad  \\textbf{(C)} \\ 1728 \\qquad  \\textbf{(D)} \\ 1925 \\qquad  \\textbf{(E)} \\ 3850</span> </p>&#10;<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": "2013 AMC 12A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12A_p18", "prev": "/problem/13_amc12A_p16"}}