NEW YORK — Detroit second baseman Gleyber Torres was among a record four players who accepted $22,025,000 qualifying offers from their former teams before the deadline Tuesday, removing themselves from the free-agent market.

Chicago Cubs left-hander Shota Imanaga, Milwaukee right-hander Brandon Woodruff, and New York Yankees outfielder Trent Grisham also accepted offers, while nine players turned down the one-year deals and decided to remain free.

Cubs outfielder Kyle Tucker, Toronto shortstop Bo Bichette, and Philadelphia designated hitter Kyle Schwarber said no along with San Diego right-handers Dylan Cease and Michael King, New York Mets closer Edwin Diaz, Arizona right-hander Zac Gallen, Philadelphia pitcher Ranger Suarez, and Houston left-hander Framber Valdez.

If a team makes a qu

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