{"status": "success", "data": {"description_md": "Let $a$ and $b$ be relatively prime positive integers with $a>b>0$ and $\\dfrac{a^3-b^3}{(a-b)^3} = \\dfrac{73}{3}$. What is $a-b$?\n\n$\\textbf{(A)}\\ 1\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ 3\\qquad\\textbf{(D)}\\ 4\\qquad\\textbf{(E)}\\ 5$", "description_html": "<p>Let  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  be relatively prime positive integers with  <span class=\"katex--inline\">a&gt;b&gt;0</span>  and  <span class=\"katex--inline\">\\dfrac{a^3-b^3}{(a-b)^3} = \\dfrac{73}{3}</span> . What is  <span class=\"katex--inline\">a-b</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ 3\\qquad\\textbf{(D)}\\ 4\\qquad\\textbf{(E)}\\ 5</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": "2012 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p18", "prev": "/problem/12_amc10A_p16"}}