{"status": "success", "data": {"description_md": "For how many integers $n$ is $\\frac{n}{20-n}$ the square of an integer?\n\n$\\textbf{(A) } 1\\qquad \\textbf{(B) } 2\\qquad \\textbf{(C) } 3\\qquad \\textbf{(D) } 4\\qquad \\textbf{(E) } 10$", "description_html": "<p>For how many integers  <span class=\"katex--inline\">n</span>  is  <span class=\"katex--inline\">\\frac{n}{20-n}</span>  the square of an integer?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 1\\qquad \\textbf{(B) } 2\\qquad \\textbf{(C) } 3\\qquad \\textbf{(D) } 4\\qquad \\textbf{(E) } 10</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": "2002 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p17", "prev": "/problem/02_amc10B_p15"}}