{"status": "success", "data": {"description_md": "Let $x$ and $y$ be positive integers such that $7x^5 = 11y^{13}.$ The minimum possible value of $x$ has a prime factorization $a^cb^d.$ What is $a + b + c + d$?\n\n$\\textbf{(A)}\\ 30 \\qquad \\textbf{(B)}\\ 31 \\qquad \\textbf{(C)}\\ 32 \\qquad \\textbf{(D)}\\ 33 \\qquad \\textbf{(E)}\\ 34$\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>Let  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  be positive integers such that  <span class=\"katex--inline\">7x^5 = 11y^{13}.</span>  The minimum possible value of  <span class=\"katex--inline\">x</span>  has a prime factorization  <span class=\"katex--inline\">a^cb^d.</span>  What is  <span class=\"katex--inline\">a + b + c + d</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 30 \\qquad \\textbf{(B)}\\ 31 \\qquad \\textbf{(C)}\\ 32 \\qquad \\textbf{(D)}\\ 33 \\qquad \\textbf{(E)}\\ 34</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": "2003 AMC 12B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12B_p19", "prev": "/problem/03_amc12B_p17"}}