{"status": "success", "data": {"description_md": "What is the remainder when $2^{202} +202$ is divided by $2^{101}+2^{51}+1$?\n\n$\\textbf{(A) } 100 \\qquad\\textbf{(B) } 101 \\qquad\\textbf{(C) } 200 \\qquad\\textbf{(D) } 201 \\qquad\\textbf{(E) } 202$", "description_html": "<p>What is the remainder when  <span class=\"katex--inline\">2^{202} +202</span>  is divided by  <span class=\"katex--inline\">2^{101}+2^{51}+1</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 100 \\qquad\\textbf{(B) } 101 \\qquad\\textbf{(C) } 200 \\qquad\\textbf{(D) } 201 \\qquad\\textbf{(E) } 202</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": 4, "problem_name": "2020 AMC 10B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10B_p23", "prev": "/problem/20_amc10B_p21"}}