{"status": "success", "data": {"description_md": "How many numbers between $1$ and $2005$ are integer multiples of $3$ or $4$ but not $12$?\n\n$\\mathrm{(A)} 501 \\qquad \\mathrm{(B)} 668 \\qquad \\mathrm{(C)} 835 \\qquad \\mathrm{(D)} 1002 \\qquad \\mathrm{(E)} 1169$", "description_html": "<p>How many numbers between  <span class=\"katex--inline\">1</span>  and  <span class=\"katex--inline\">2005</span>  are integer multiples of  <span class=\"katex--inline\">3</span>  or  <span class=\"katex--inline\">4</span>  but not  <span class=\"katex--inline\">12</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} 501 \\qquad \\mathrm{(B)} 668 \\qquad \\mathrm{(C)} 835 \\qquad \\mathrm{(D)} 1002 \\qquad \\mathrm{(E)} 1169</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": 3, "problem_name": "2005 AMC 10B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p14", "prev": "/problem/05_amc10B_p12"}}