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President Barack Obama flatly blamed Republicans on Friday for failing to support immigration reforms in the last few years.

But Obama didn't tell the whole story in his speech to the National Association of Latino Elected and Appointed Officials. His own Democratic colleagues had a hand in defeating one immigration bill two years ago.

A day earlier, presumptive GOP presidential nominee Mitt Romney promised in a speech to the same group that he would ease the path to a green card, fix a complicated and cumbersome system to let farm workers into the United States and finish a high-tech fence along the Mexican border. He was glossing over how difficult some of those changes could be. Some already have been tried, with little or no success.

Here's a closer look at Obama's statement, Romney's assertions and how they match up with the facts:

OBAMA: "We should have passed the DREAM Act a long time ago. It was written by members of both parties. When it came up for a vote a year and a half ago, Republicans in Congress blocked it. The bill hadn't changed. The need hadn't changed. The only thing that had changed was politics."

THE FACTS: Five Senate Democrats voted against sending the DREAM Act to the Senate floor for full consideration. The bill would have created a path to citizenship for many young illegal immigrants brought to the United States as children. Last week, Obama announced plans to stop deporting illegal immigrants who would have qualified for the DREAM Act. The policy change does not include a path to citizenship.

ROMNEY: "As president, I'd reallocate green cards to those seeking to keep their families under one roof. And we will exempt from caps the spouses and minor children of legal permanent residents. And we will eliminate other forms of bureaucratic red tape that keep families from being together." He added: "And if you get an advanced degree here, we want you to stay here. So I'd staple a green card to the diploma of someone who gets an advanced degree in America."

THE FACTS: It's unclear whether Romney would have the authority if elected president to change the way green cards are issued, or whether he would need help from Congress. It is Congress that sets the annual limits for visas for foreigners who have advanced degrees in certain fields of science, math and other professions. Lately, Republicans and groups representing U.S. workers have blocked legislative attempts to increase those limits.

Advocates for immigration reform have long argued that the president can use executive powers to relax or change various immigration regulations. President Barack Obama has done that twice in the last year. First, he allowed prosecutors discretion to focus deportation of illegal immigrants on those with a criminal record or who otherwise pose a threat. Last week, he announced plans to stop deporting many young illegal immigrants brought to the United States as children who have not committed a crime in the U.S. and to grant them work permits.

Republicans have argued that Obama stretched his authority, but Romney seems to be suggesting he, too, could act alone to make broad changes.

And Romney's proposal for keeping educated foreigners in the U.S. isn't original. Obama, in a May 2011 immigration proposal, called for "encouraging foreign students to stay in the U.S. and contribute to our economy by stapling a green card to the diplomas" of those with advanced science, technology, engineering and math degrees.

ROMNEY: "I will work with states and employers to update our temporary worker visa program so that it meets our economic needs."

THE FACTS: Temporary and seasonal workers are considered a necessity for the U.S. agriculture industry, but importing legal workers has proved difficult. The Labor Department's visa program for temporary seasonal workers has long been viewed as costly, cumbersome and inefficient.

Several attempts to overhaul it that included a path to legalization for the workers have been blocked in Congress. Republicans have repeatedly said that any immigration bill offering a path to legalization would not win their support.

ROMNEY: "We should field enough Border Patrol agents, complete a high-tech fence and implement an improved exit verification system."

THE FACTS: Romney's plans don't take notice of what's already been done, including record-high staffing levels along the border and the failure of a Bush-era virtual fence plan.

The Border Patrol has more than 18,500 agents working on the southern border. In the year budget ending last September, agents apprehended about 340,000 illegal immigrants, the fewest in nearly 40 years — an average of 18 apprehensions per agent. The decrease in apprehensions has been linked to a weak economy producing fewer jobs in the U.S. and to more law enforcement agents and technology being deployed along the border.

Under the Bush administration, the government built hundreds of miles of fencing along the Mexican border. A planned virtual fence was also started, but then scrapped by the Obama administration in 2010 after the project was deemed a failure. About 53 miles of virtual fencing is in place, at a cost of about $1 billion.

An exit verification system has been sought since after the Sept. 11, 2001, terrorist attacks, but efforts to build one have been repeatedly stymied, most often because of the projected costs. Earlier this year, John Cohen, deputy counterterrorism coordinator for the Homeland Security Department, told a congressional panel that the agency was finalizing plans for a biometric data system to track who leaves the country and when. He didn't give details.

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Associated Press writer Suzanne Gamboa contributed to this report.

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