{"status": "success", "data": {"description_md": "For the nonzero numbers $a$, $b$, $c$, define $(a, b, c) = \\frac{a}{b} + \\frac{b}{c} + \\frac{c}{a}$. Find $(2, 12, 9)$.\n\n$\\text{(A)}\\ 4 \\qquad \\text{(B)}\\ 5 \\qquad \\text{(C)}\\ 6 \\qquad \\text{(D)}\\ 7 \\qquad \\text{(E)}\\ 8$", "description_html": "<p>For the nonzero numbers  <span class=\"katex--inline\">a</span> ,  <span class=\"katex--inline\">b</span> ,  <span class=\"katex--inline\">c</span> , define  <span class=\"katex--inline\">(a, b, c) = \\frac{a}{b} + \\frac{b}{c} + \\frac{c}{a}</span> . Find  <span class=\"katex--inline\">(2, 12, 9)</span> .</p>\n<p> <span class=\"katex--inline\">\\text{(A)}\\ 4 \\qquad \\text{(B)}\\ 5 \\qquad \\text{(C)}\\ 6 \\qquad \\text{(D)}\\ 7 \\qquad \\text{(E)}\\ 8</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": 1, "problem_name": "2002 AMC 10A Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10A_p03", "prev": "/problem/02_amc10A_p01"}}