WASHINGTON (AP) — What happened in Iowa didn't stay in Iowa. And when it reached the stage in the latest Republican presidential debate, Ted Cruz had some explaining to do.

Cruz wasn't quite square with the facts Saturday night when he explained why and how his campaign spread the false insinuation that rival Ben Carson was quitting the race after the Iowa caucuses. The episode was among a number of fumbles from the field in the intense confrontation before Tuesday's New Hampshire primary.

Among them:

—Chris Christie misstated the U.S. policy on paying ransom to hostage-takers.

—Donald Trump botched tax numbers.

—In his zeal to condemn the Obama administration's immigration record, Cruz once again vastly overstated deportations under the previous two presidents.

Some of the claims and how they compare with the facts:

CRUZ on why his campaign spread inaccurate suggestions to voters on Iowa caucus night that Carson was quitting: "My political team saw CNN's report, breaking news, and forwarded that news to our volunteers."

THE FACTS: Cruz's campaign took accurate reports from CNN and twisted them to make it appear that Carson was quitting. The motive: to convince caucus-goers that support for Carson would be wasted and they should back the Texas senator instead. Even while apologizing to Carson for the tactics, Cruz tried to deflect blame.

CNN on air and in tweets said Carson, in an unusual move, planned to go home to Florida after the caucuses, instead of directly to New Hampshire to campaign for the next contest. But that information was coupled with assurances from the Carson campaign that he was not getting out of the race, but rather planning to attend the National Prayer Breakfast in Washington after Florida.

Based on that, the Cruz campaign pushed out its own story line, saying Carson would reportedly "stop" campaigning after Iowa and would be "making a big announcement next week." In addition, a key Cruz supporter, Rep. Steve King, tweeted that Carson was planning "the equivalent of suspending." Candidates who quit a primary race "suspend" their campaigns.

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TRUMP: "Right now, we're the highest taxed country in the world."

THE FACTS: Far from it. The U.S. tax burden pales in comparison with that of other industrialized countries.

Taxes made up 26 percent of the total U.S. economy in 2014, according to the 34-nation Organization for Economic Cooperation and Development. That measure looks at the entire tax burden, which is different than tax rates that can be gamed through loopholes, deductions and credits.

In Sweden, the tax burden is 42.7 percent of the economy. It's 33.6 percent in Slovenia (Trump's wife, Melania, was born in the part of Yugoslavia that became Slovenia). Britain clocks in at 32.6 percent, while Germany's burden is 36.1 percent.

Where is the tax burden lower than the United States?

South Korea, Chile and Mexico.

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