{"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$\\textbf{(A)}\\ 720\\qquad\\textbf{(B)}\\ 1296\\qquad\\textbf{(C)}\\ 1728\\qquad\\textbf{(D)}\\ 1925\\qquad\\textbf{(E)}\\ 3850$", "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>\n<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>\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": 4, "problem_name": "2013 AMC 10A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10A_p22", "prev": "/problem/13_amc10A_p20"}}