{"status": "success", "data": {"description_md": "Define$$P(x) =(x-1^2)(x-2^2)\\cdots(x-100^2).$$How many integers $n$ are there such that $P(n)\\leq 0$?\n\n$\\textbf{(A) } 4900 \\qquad \\textbf{(B) } 4950\\qquad \\textbf{(C) } 5000\\qquad \\textbf{(D) } 5050 \\qquad \\textbf{(E) } 5100$", "description_html": "<p>Define <span class=\"katex--display\">P(x) =(x-1^2)(x-2^2)\\cdots(x-100^2).</span> How many integers  <span class=\"katex--inline\">n</span>  are there such that  <span class=\"katex--inline\">P(n)\\leq 0</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 4900 \\qquad \\textbf{(B) } 4950\\qquad \\textbf{(C) } 5000\\qquad \\textbf{(D) } 5050 \\qquad \\textbf{(E) } 5100</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": "2020 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10A_p18", "prev": "/problem/20_amc10A_p16"}}