{"status": "success", "data": {"description_md": "For real numbers $x$ and $y$, define $x \\mathop{\\spadesuit} y = (x+y)(x-y)$. What is $3 \\mathop{\\spadesuit} (4 \\mathop{\\spadesuit} 5)$?\n\n$\\mathrm{(A) \\ } -72\\qquad \\mathrm{(B) \\ } -27\\qquad \\mathrm{(C) \\ } -24\\qquad \\mathrm{(D) \\ } 24\\qquad \\mathrm{(E) \\ } 72$", "description_html": "<p>For real numbers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span> , define  <span class=\"katex--inline\">x \\mathop{\\spadesuit} y = (x+y)(x-y)</span> . What is  <span class=\"katex--inline\">3 \\mathop{\\spadesuit} (4 \\mathop{\\spadesuit} 5)</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } -72\\qquad \\mathrm{(B) \\ } -27\\qquad \\mathrm{(C) \\ } -24\\qquad \\mathrm{(D) \\ } 24\\qquad \\mathrm{(E) \\ } 72</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": "2006 AMC 10B Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10B_p03", "prev": "/problem/06_amc10B_p01"}}