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The Big Six in have all been busy with many high profile exits and entries on the horizon.
Pep Guardiola's City bounced back from 0-2 to win 3-2 against Aston Villa.
The defeat means it is now mathematically impossible for sixth-placed United to qualify for the Champions League, as they sit five points adrift of fourth-placed Arsenal with one game left to play.
Burnley's revival under caretaker boss Mike Jackson continued as a thrilling 2-1 win at Watford pulled them five points clear of the relegation zone.
Chelsea kept a grip on third place but needed a last-minute goal from American Christian Pulisic to beat West Ham United 1-0 at Stamford Bridge.
After a 5-0 win at Old Trafford in October, this was another humiliation of United by Juergen Klopp's team, who were barely threatened by their lifeless opponents.
Pep Guardiola's men threw everything at Palace late on, but could not find a winner as they dropped two valuable points in their quest to make it four league titles in the last five seasons.
Everton's plummet towards the relegation zone continued as they lost 1-0 at home to Wolverhampton Wanderers but Leeds United gained some respite with a last-gasp 2-1 win over bottom club Norwich City.
Pep Guardiola's City have 69 points with Liverpool on 66 but City can restore their advantage to six when they travel to Crystal Palace on Monday.
Liverpool narrowed City's lead at the top to three points with both teams having 11 games left to play.