question: QM is perpendicular to MN, QP is perpendicular to NP, the length of MQ is 2x+2, and the length of QP is 4x-8, NQ is the angular bisector of angle MNP. Find Q M.
  Choices:
  A:4
  B:8
  C:12
  D:16
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: QM is perpendicular to MN, QP is perpendicular to NP, the length of MQ is 2x+2, and the length of QP is 4x-8, NQ is the angular bisector of angle MNP. Find Q M.
  Choices:
  A:4
  B:8
  C:12
  D:16
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: QM is perpendicular to MN, QP is perpendicular to NP, the length of MQ is 2x+2, and the length of QP is 4x-8, NQ is the angular bisector of angle MNP. Find Q M.
  Choices:
  A:4
  B:8
  C:12
  D:16
question_for_eval: QM is perpendicular to MN, QP is perpendicular to NP, the length of MQ is 2x+2, and the length of QP is 4x-8, NQ is the angular bisector of angle MNP. Find Q M.
  Choices:
  A:4
  B:8
  C:12
  D:16