{"status": "success", "data": {"description_md": "The sum of the first $m$ positive odd integers is $212$ more than the sum of the first $n$ positive even integers. What is the sum of all possible values of $n$?\n\n$\\textbf{(A)}\\ 255\\qquad\\textbf{(B)}\\ 256\\qquad\\textbf{(C)}\\ 257\\qquad\\textbf{(D)}\\ 258\\qquad\\textbf{(E)}\\ 259$", "description_html": "<p>The sum of the first  <span class=\"katex--inline\">m</span>  positive odd integers is  <span class=\"katex--inline\">212</span>  more than the sum of the first  <span class=\"katex--inline\">n</span>  positive even integers. What is the sum of all possible values of  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 255\\qquad\\textbf{(B)}\\ 256\\qquad\\textbf{(C)}\\ 257\\qquad\\textbf{(D)}\\ 258\\qquad\\textbf{(E)}\\ 259</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": "2012 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p23", "prev": "/problem/12_amc10A_p21"}}