{"status": "success", "data": {"description_md": "Consider the operation \"minus the reciprocal of,\" defined by $a\\diamond b=a-\\frac{1}{b}$. What is $((1\\diamond2)\\diamond3)-(1\\diamond(2\\diamond3))$?\n\n$\\textbf{(A) } -\\dfrac{7}{30} \\qquad\\textbf{(B) } -\\dfrac{1}{6} \\qquad\\textbf{(C) } 0 \\qquad\\textbf{(D) } \\dfrac{1}{6} \\qquad\\textbf{(E) } \\dfrac{7}{30}$", "description_html": "<p>Consider the operation &#8220;minus the reciprocal of,&#8221; defined by  <span class=\"katex--inline\">a\\diamond b=a-\\frac{1}{b}</span> . What is  <span class=\"katex--inline\">((1\\diamond2)\\diamond3)-(1\\diamond(2\\diamond3))</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } -\\dfrac{7}{30} \\qquad\\textbf{(B) } -\\dfrac{1}{6} \\qquad\\textbf{(C) } 0 \\qquad\\textbf{(D) } \\dfrac{1}{6} \\qquad\\textbf{(E) } \\dfrac{7}{30}</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": "2015 AMC 10B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p08", "prev": "/problem/15_amc10B_p06"}}