{"status": "success", "data": {"description_md": "Define $a@b = ab - b^{2}$ and $a\\#b = a + b - ab^{2}$. What is $\\dfrac {6@2}{6\\#2}$?\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\">\\dfrac {6@2}{6\\#2}</span>?</p>&#10;<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>&#10;", "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"}}