solution: Let $x$ be the number.  Converting the words in the problem into an equation gives us $3+\dfrac{1}{x} = \dfrac{7}{x}$.  Subtracting $\dfrac{1}{x}$ from both sides gives $3 = \dfrac{6}{x}$. Multiplying both sides of this equation by $x$ gives $3x =6$, and dividing both sides of this equation by 3 gives $x = \boxed{2}$.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Three plus the reciprocal of a number equals 7 divided by that number.  What is the number?
  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: Three plus the reciprocal of a number equals 7 divided by that number.  What is the number?
extra_info.split: test