question: In triangle A B C, A D, B E, and C F intersect at point Q. Q is the centroid and B E = 9. Find B Q.
  Choices:
  A:3
  B:6
  C:9
  D:12
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: In triangle A B C, A D, B E, and C F intersect at point Q. Q is the centroid and B E = 9. Find B Q.
  Choices:
  A:3
  B:6
  C:9
  D:12
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: In triangle A B C, A D, B E, and C F intersect at point Q. Q is the centroid and B E = 9. Find B Q.
  Choices:
  A:3
  B:6
  C:9
  D:12
question_for_eval: In triangle A B C, A D, B E, and C F intersect at point Q. Q is the centroid and B E = 9. Find B Q.
  Choices:
  A:3
  B:6
  C:9
  D:12