{"status": "success", "data": {"description_md": "The ratio $\\frac{2^{2001}\\cdot3^{2003}}{6^{2002}}$ is:\n\n$\\mathrm{(A) \\ } \\frac{1}{6}\\qquad \\mathrm{(B) \\ } \\frac{1}{3}\\qquad \\mathrm{(C) \\ } \\frac{1}{2}\\qquad \\mathrm{(D) \\ } \\frac{2}{3}\\qquad \\mathrm{(E) \\ } \\frac{3}{2}$", "description_html": "<p>The ratio  <span class=\"katex--inline\">\\frac{2^{2001}\\cdot3^{2003}}{6^{2002}}</span>  is:</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{1}{6}\\qquad \\mathrm{(B) \\ } \\frac{1}{3}\\qquad \\mathrm{(C) \\ } \\frac{1}{2}\\qquad \\mathrm{(D) \\ } \\frac{2}{3}\\qquad \\mathrm{(E) \\ } \\frac{3}{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": "2002 AMC 10B Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/02_amc10B_p02", "prev": ""}}