{"status": "success", "data": {"description_md": "The square\n\n$$$\\begin{tabular}{|c|c|c|} \\hline 50 & \\textit{b} & \\textit{c} \\\\<br>\\hline \\textit{d} & \\textit{e} & \\textit{f} \\\\<br>\\hline \\textit{g} & \\textit{h} & 2 \\\\<br>\\hline \\end{tabular}$$$<br>is a multiplicative magic square. That is, the product of the numbers in each row, column, and diagonal is the same. If all the entries are positive integers, what is the sum of the possible values of $g$?\n\n$\\textbf{(A)}\\ 10 \\qquad \\textbf{(B)}\\ 25 \\qquad \\textbf{(C)}\\ 35 \\qquad \\textbf{(D)}\\ 62 \\qquad \\textbf{(E)}\\ 136$\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>The square</p>&#10;<p>$ <span class=\"katex--display\">\\begin{tabular}{|c|c|c|} \\hline 50 &amp; \\textit{b} &amp; \\textit{c} \\\\\\hline \\textit{d} &amp; \\textit{e} &amp; \\textit{f} \\\\\\hline \\textit{g} &amp; \\textit{h} &amp; 2 \\\\\\hline \\end{tabular}</span> $<br/>is a multiplicative magic square. That is, the product of the numbers in each row, column, and diagonal is the same. If all the entries are positive integers, what is the sum of the possible values of  <span class=\"katex--inline\">g</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 10 \\qquad \\textbf{(B)}\\ 25 \\qquad \\textbf{(C)}\\ 35 \\qquad \\textbf{(D)}\\ 62 \\qquad \\textbf{(E)}\\ 136</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": 5, "problem_name": "2004 AMC 12B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc12B_p23", "prev": "/problem/04_amc12B_p21"}}