{"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, b, 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>&#10;<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>&#10;", "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"}}