{"status": "success", "data": {"description_md": "What is the least possible value of $(xy-1)^2+(x+y)^2$ for all real numbers $x$ and $y?$\n\n$\\textbf{(A) }0 \\qquad \\textbf{(B) }\\frac14 \\qquad \\textbf{(C) }\\frac12 \\qquad \\textbf{(D) }1 \\qquad \\textbf{(E) }2$\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>What is the least possible value of  <span class=\"katex--inline\">(xy-1)^2+(x+y)^2</span>  for all real numbers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }0 \\qquad \\textbf{(B) }\\frac14 \\qquad \\textbf{(C) }\\frac12 \\qquad \\textbf{(D) }1 \\qquad \\textbf{(E) }2</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": 2, "problem_name": "2021 AMC 12A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12A_p08", "prev": "/problem/21_amc12A_p06"}}