NEW YORK — Chicago Cubs left-hander Shota Imanaga, Milwaukee right-hander Brandon Woodruff, New York Yankees outfielder Trent Grisham and Detroit second baseman Gleyber Torres were 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.

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 Díaz, Arizona right-hander Zac Gallen, Philadelphia pitcher Ranger Suárez and Houston left-hander Framber Valdez.

If a team makes a qualifying offer to a player wh

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