{"status": "success", "data": {"description_md": "Define $a@b = ab - b^{2}$ and $a\\#b = a + b - ab^{2}$. What is $\\frac {6@2}{6\\#2}$?\n\n$\\text{(A)}\\ - \\frac {1}{2}\\qquad \\text{(B)}\\ - \\frac {1}{4}\\qquad \\text{(C)}\\ \\frac {1}{8}\\qquad \\text{(D)}\\ \\frac {1}{4}\\qquad \\text{(E)}\\ \\frac {1}{2}$", "description_html": "<p>Define  <span class=\"katex--inline\">a@b = ab - b^{2}</span>  and  <span class=\"katex--inline\">a\\#b = a + b - ab^{2}</span> . What is  <span class=\"katex--inline\">\\frac {6@2}{6\\#2}</span> ?</p>\n<p> <span class=\"katex--inline\">\\text{(A)}\\ - \\frac {1}{2}\\qquad \\text{(B)}\\ - \\frac {1}{4}\\qquad \\text{(C)}\\ \\frac {1}{8}\\qquad \\text{(D)}\\ \\frac {1}{4}\\qquad \\text{(E)}\\ \\frac {1}{2}</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": "2007 AMC 10A Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10A_p03", "prev": "/problem/07_amc10A_p01"}}