{"status": "success", "data": {"description_md": "How many positive integers $n$ satisfy$$\\frac{n+1000}{70} = \\lfloor \\sqrt{n} \\rfloor?$$(Recall that $\\lfloor x\\rfloor$ is the greatest integer not exceeding $x$.)\n\n$\\textbf{(A) } 2 \\qquad\\textbf{(B) } 4 \\qquad\\textbf{(C) } 6 \\qquad\\textbf{(D) } 30 \\qquad\\textbf{(E) } 32$\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>How many positive integers  <span class=\"katex--inline\">n</span>  satisfy <span class=\"katex--display\">\\frac{n+1000}{70} = \\lfloor \\sqrt{n} \\rfloor?</span> (Recall that  <span class=\"katex--inline\">\\lfloor x\\rfloor</span>  is the greatest integer not exceeding  <span class=\"katex--inline\">x</span> .)</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 2 \\qquad\\textbf{(B) } 4 \\qquad\\textbf{(C) } 6 \\qquad\\textbf{(D) } 30 \\qquad\\textbf{(E) } 32</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": 5, "problem_name": "2020 AMC 12B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12B_p22", "prev": "/problem/20_amc12B_p20"}}