solution: \begin{align*}
  2^{2x} & =256^{\frac{1}{2}} \\
  2^{2x} & =(2^8)^{\frac{1}{2}} \\
  2^{2x} & =(2^4) \\
  2x & = 4 \\
  x & = \boxed{2}
  \end{align*}
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Solve for $x$: $2^{2x} = 256^\frac{1}{2}$.
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 2
extra_info.question: Solve for $x$: $2^{2x} = 256^\frac{1}{2}$.
extra_info.split: test