{"status": "success", "data": {"description_md": "For how many integers $n$ is $\\dfrac n{20-n}$ the square of an integer?\n\n$\\mathrm{(A)}\\ 1<br>\\qquad\\mathrm{(B)}\\ 2<br>\\qquad\\mathrm{(C)}\\ 3<br>\\qquad\\mathrm{(D)}\\ 4<br>\\qquad\\mathrm{(E)}\\ 10$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>For how many integers  <span class=\"katex--inline\">n</span>  is  <span class=\"katex--inline\">\\dfrac n{20-n}</span>  the square of an integer?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 1\\qquad\\mathrm{(B)}\\ 2\\qquad\\mathrm{(C)}\\ 3\\qquad\\mathrm{(D)}\\ 4\\qquad\\mathrm{(E)}\\ 10</span> </p>&#10;<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 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p13", "prev": "/problem/02_amc12B_p11"}}