{"status": "success", "data": {"description_md": "For the nonzero numbers $a, b,$ and $c,$ define\n$$(a,b,c)=\\frac{abc}{a+b+c}$$\nFind $(2,4,6)$.\n\n$\\mathrm{(A) \\ } 1\\qquad \\mathrm{(B) \\ } 2\\qquad \\mathrm{(C) \\ } 4\\qquad \\mathrm{(D) \\ } 6\\qquad \\mathrm{(E) \\ } 24$", "description_html": "<p>For the nonzero numbers  <span class=\"katex--inline\">a, b,</span>  and  <span class=\"katex--inline\">c,</span>  define<br/>\n <span class=\"katex--display\">(a,b,c)=\\frac{abc}{a+b+c}</span> <br/>\nFind  <span class=\"katex--inline\">(2,4,6)</span> .</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 1\\qquad \\mathrm{(B) \\ } 2\\qquad \\mathrm{(C) \\ } 4\\qquad \\mathrm{(D) \\ } 6\\qquad \\mathrm{(E) \\ } 24</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 10B Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p03", "prev": "/problem/02_amc10B_p01"}}