solution: At $t = 2,$ $(x,y) = (2^3 + 7, -3 \cdot 2^2 - 6 \cdot 2 - 5) = \boxed{(15,-29)}.$
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  A curve is parameterized by
  \[(x,y) = (t^3 + 7, -3t^2 - 6t - 5).\]Find the point the curve passes through at $t = 2.$
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: (15,-29)
extra_info.question: A curve is parameterized by
  \[(x,y) = (t^3 + 7, -3t^2 - 6t - 5).\]Find the point the curve passes through at $t = 2.$
extra_info.split: test