The Bible teaches compatible, not so-called "libertarian," free will. That means that men choose what God has foreordained or determined that they will choose. It's the kind of free will that Calvinists speak about, and it is the kind of free will that is referred to when the Scriptures speak about "Freewill offerings." (See, for example, Ezra 3:5 "And afterward offered the continual burnt offering, both of the new moons, and of all the set feasts of the LORD that were consecrated, and of every one that willingly offered a freewill offering unto the LORD.")
The verses that describe Calvinistic or compatible free will are almost too numerous to recite. Here are some examples:
1 Samuel 2:25
If one man sin against another, the judge shall judge him: but if a man sin against the LORD, who shall intreat for him? Notwithstanding they hearkened not unto the voice of their father, because the LORD would slay them.
2 Samuel 17:14
And Absalom and all the men of Israel said, The counsel of Hushai the Archite is better than the counsel of Ahithophel. For the LORD had appointed to defeat the good counsel of Ahithophel, to the intent that the LORD might bring evil upon Absalom.
1 Kings 12:15
Wherefore the king hearkened not unto the people; for the cause was from the LORD, that he might perform his saying, which the LORD spake by Ahijah the Shilonite unto Jeroboam the son of Nebat.
But Pharaoh shall not hearken unto you, that I may lay my hand upon Egypt, and bring forth mine armies, and my people the children of Israel, out of the land of Egypt by great judgments.
And the LORD said unto Moses, Pharaoh shall not hearken unto you; that my wonders may be multiplied in the land of Egypt.
But Sihon king of Heshbon would not let us pass by him: for the LORD thy God hardened his spirit, and made his heart obstinate, that he might deliver him into thy hand, as appeareth this day.
2 Chronicles 25:20
But Amaziah would not hear; for it came of God, that he might deliver them into the hand of their enemies, because they sought after the gods of Edom.
For God hath concluded them all in unbelief, that he might have mercy upon all.
2 Chronicles 25:16
And it came to pass, as he talked with him, that the king said unto him, Art thou made of the king's counsel? forbear; why shouldest thou be smitten? Then the prophet forbare, and said, I know that God hath determined to destroy thee, because thou hast done this, and hast not hearkened unto my counsel.
And the king shall do according to his will; and he shall exalt himself, and magnify himself above every god, and shall speak marvellous things against the God of gods, and shall prosper till the indignation be accomplished: for that that is determined shall be done.
See also the book of Job.
I could go on and on, but these should do for now.