{"status": "success", "data": {"description_md": "For real numbers $a$ and $b$, define $a \\diamond b = \\sqrt{a^2 + b^2}$. What is the value of\n$(5 \\diamond 12) \\diamond ((-12) \\diamond (-5))$?\n\n$\\mathrm{(A)} 0 \\qquad \\mathrm{(B)} \\frac{17}{2} \\qquad \\mathrm{(C)} 13 \\qquad \\mathrm{(D)} 13\\sqrt{2} \\qquad \\mathrm{(E)} 26$", "description_html": "<p>For real numbers  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span> , define  <span class=\"katex--inline\">a \\diamond b = \\sqrt{a^2 + b^2}</span> . What is the value of<br/>\n <span class=\"katex--inline\">(5 \\diamond 12) \\diamond ((-12) \\diamond (-5))</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} 0 \\qquad \\mathrm{(B)} \\frac{17}{2} \\qquad \\mathrm{(C)} 13 \\qquad \\mathrm{(D)} 13\\sqrt{2} \\qquad \\mathrm{(E)} 26</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": "2005 AMC 10B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p05", "prev": "/problem/05_amc10B_p03"}}