question: f(x)=4(x-5)^2+2. Which function has a greater minimum, f(x) or g(x)?
  Choices:
  A:$f$ has a greater minimum than $g$.
  B:$g$ has a greater minimum than $f$.
  C:$f$ and $g$ share the same minimum.
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: f(x)=4(x-5)^2+2. Which function has a greater minimum, f(x) or g(x)?
  Choices:
  A:$f$ has a greater minimum than $g$.
  B:$g$ has a greater minimum than $f$.
  C:$f$ and $g$ share the same minimum.
query_cot: Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
  Question: f(x)=4(x-5)^2+2. Which function has a greater minimum, f(x) or g(x)?
  Choices:
  A:$f$ has a greater minimum than $g$.
  B:$g$ has a greater minimum than $f$.
  C:$f$ and $g$ share the same minimum.
question_for_eval: f(x)=4(x-5)^2+2. Which function has a greater minimum, f(x) or g(x)?
  Choices:
  A:$f$ has a greater minimum than $g$.
  B:$g$ has a greater minimum than $f$.
  C:$f$ and $g$ share the same minimum.