Maloney curled a superb shot past De Gea to seal a deserved three points.
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West Ham retook the lead ten minutes after the break as Mohamed Diame fired a low shot into the corner past De Gea.
The 23-year-old England international was fastest to react after captain Steven Gerrard forced a parried save from United keeper David de Gea just three minutes after Vidic's goal.
And the comeback was complete when Chelsea swept down field after a United attack and Ramires cut inside his man to beat De Gea with a precise left-footed finish.
Van Persie's sloppy ball saw Arsenal charge forward and Theo Walcott took advantage of a marginal call for offside to advance and beat David de Gea in the visiting goal.
Tottenham almost drew level before halftime but winger Gareth Bale's powerful shot was well saved by David De Gea, after it had taken a slight deflection off defender Rio Ferdinand.
Just before halftime, Carroll caught United goalkeeper David De Gea after going up for a corner -- a challenge that infuriated Ferguson, who later said it should have been a red card.
The impressive Juan Mata played in Torres, who unselfishly squared the ball for Ramires in front of an open goal, but his weak finish allowed De Gea to make a scrambling save.
Striker Villa hit the underside of the bar with only David de Gea to beat before the goalkeeper made a reaction save from Nicola Zigic's point-blank header and then tipped over another effort.
The decisive moment came in the seventh minute, when the Honduras midfielder Roger Espinoza crossed from the left, and Jerry Bengtson jumped above Jordi Alba to power a header past Spanish goalkeeper David de Gea.
But, a very weary looking United gave up two second half goals (and if not for a fantastic last save from Davide De Gea it would have been three) and now the teams face a replay.
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Torres was showing real signs of sharpness, meanwhile, as he brought another save from De Gea, but Rooney was also in the mood and rolled an effort against the foot of the post with Cech beaten.
He sidestepped De Gea with ease and composure at the Stretford End then, with an open goal at his mercy, missed the target hopelessly as the taunts for the former Liverpool striker rang around Old Trafford.
Robin van Persie hit the crossbar and had another effort hacked off the line, while the much-maligned David De Gea produced an astonishing performance in the United goal, fending off every effort which came within his grasp.
Robin van Persie hit the crossbar and had another effort hacked off the line, while the much maligned David De Gea produced an astonishing performance in the United goal, fending off every effort which came within his grasp.
The European champions enjoyed more of the ball throughout the 90 minutes but they struggled to deal with the pace of Japan's attacks, with David De Gea, Manchester United's young goalkeeper, keeping his country in contention with several fine saves.
Fernando Torres had a chance to wrap the game up before Mata cut inside Jonny Evans and struck on goal from six yards out but De Gea stuck out a leg to get a vital touch and divert the ball round the post.
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