Contradiction with Luke 9:58
Jesus states that He has nowhere to lay His head, which contrasts with Him lodging at the mount in Luke 21:37.
Luke 9:58: And Jesus said unto him, Foxes have holes, and birds of the air [have] nests; but the Son of man hath not where to lay [his] head.
Contradiction with Matthew 26:55
Jesus mentions that He taught daily in the temple, which differs from Luke 21:37 where His teaching in the temple during the daytime implies not daily.
Matthew 26:55: But all this was done, that the scriptures of the prophets might be fulfilled. Then all the disciples forsook him, and fled.
Contradiction with Mark 1:35
Jesus went out to a solitary place to pray early in the morning, which contrasts with Luke 21:37 indicating His evenings were spent at the mount.
Mark 1:35: And in the morning, rising up a great while before day, he went out, and departed into a solitary place, and there prayed.
Contradiction with John 18:20
Jesus says He spoke openly to the world and always taught in synagogues or the temple, which seems to align with but can also contrast with the specific routine mentioned in Luke 21:37.
John 18:20: Jesus answered him, I spake openly to the world; I ever taught in the synagogue, and in the temple, whither the Jews always resort; and in secret have I said nothing.