{"status": "success", "data": {"description_md": "Let $\\lfloor x \\rfloor$ denote the greatest integer less than or equal to $x$. How many real numbers $x$ satisfy the equation $x^2 + 10,000\\lfloor x \\rfloor = 10,000x$?\n\n$\\textbf{(A) } 197 \\qquad \\textbf{(B) } 198 \\qquad \\textbf{(C) } 199 \\qquad \\textbf{(D) } 200 \\qquad \\textbf{(E) } 201$\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>Let  <span class=\"katex--inline\">\\lfloor x \\rfloor</span>  denote the greatest integer less than or equal to  <span class=\"katex--inline\">x</span> . How many real numbers  <span class=\"katex--inline\">x</span>  satisfy the equation  <span class=\"katex--inline\">x^2 + 10,000\\lfloor x \\rfloor = 10,000x</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 197 \\qquad \\textbf{(B) } 198 \\qquad \\textbf{(C) } 199 \\qquad \\textbf{(D) } 200 \\qquad \\textbf{(E) } 201</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": "2018 AMC 12B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12B_p25", "prev": "/problem/18_amc12B_p23"}}