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There has been no previous suggestion of coordination between the State Department and Obama campaign, and the White House has maintained that politics didn't play a role in the formulation of talking points distributed to Congress and administration officials. 

But the RNC is hoping to keep the controversy alive with its latest request and has used FOIA requests in the past to generate media attention. Last week, the committee sent a similar request to the Internal Revenue Service demanding the agency turn over any documents related to the targeting of Tea Party groups.

That move was blasted by Democratic National Committee spokesman Brad Woodhouse, who dismissed the move as "typical GOP overreach" on Twitter.

"How original. And political. So much for a bipartisan inquiry," Woodhouse continued.

President Obama has also dismissed Republican criticisms of the Benghazi controversy as politically fueled, noting that the White House labeled the Benghazi attack as terrorism soon after the initial assessment.

"The fact that this keeps on getting churned out, frankly, has a lot to do with political motivations," Obama told reporters at a press conference earlier this month with British Prime Minister David Cameron.