{"status": "success", "data": {"description_md": "Suppose that $m$ and $n$ are positive integers such that $75m = n^{3}$. What is the minimum possible value of $m + n$?\n\n$\\text{(A)}\\ 15 \\qquad \\text{(B)}\\ 30 \\qquad \\text{(C)}\\ 50 \\qquad \\text{(D)}\\ 60 \\qquad \\text{(E)}\\ 5700$", "description_html": "<p>Suppose that  <span class=\"katex--inline\">m</span>  and  <span class=\"katex--inline\">n</span>  are positive integers such that  <span class=\"katex--inline\">75m = n^{3}</span> . What is the minimum possible value of  <span class=\"katex--inline\">m + n</span> ?</p>\n<p> <span class=\"katex--inline\">\\text{(A)}\\ 15 \\qquad \\text{(B)}\\ 30 \\qquad \\text{(C)}\\ 50 \\qquad \\text{(D)}\\ 60 \\qquad \\text{(E)}\\ 5700</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": "2007 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10A_p18", "prev": "/problem/07_amc10A_p16"}}