WASHINGTON (AP) — A look at some of Ted Cruz's collisions with the facts as some of his Republican presidential rivals level charges that the Texas senator has trouble with the truth:

—Cruz has repeatedly disowned his past support of an immigration bill that envisaged legal status for people in the country illegally. As he put it in one debate, "I have never supported legalization, and I do not intend to support legalization."

He backed legislation in 2013 that proposed eventual legal status for millions, while stopping short of offering them a path to citizenship.

—Cruz has repeatedly overstated the deportation records of past administrations to make President Barack Obama's record look worse. He said in the latest debate: "I would note that in eight years Bill Clinton deported 12 million people. In eight years George Bush deported 10 million people. Enforcing the law. We can do it."

Only 1.6 million were deported under Bush, not 11 million, and under Clinton, only about 870,000, not 12 million, according to federal statistics and the Migration Policy Institute. So far, about 2.4 million have been deported under the Obama administration. To get the swollen figures, Cruz appears to be combining deportations with border patrol arrests in the previous administrations, according to the institute.

—Cruz said millions have lost health coverage under Obama's health care law, which he's also called the nation's "biggest job-killer."

More than 16 million have gained coverage under the law, driving the uninsured rate to a historic low, and the economy added more than 13 million jobs in the period Cruz was citing.

— Cruz blamed inaccurate reporting by CNN for why his campaign spread false suggestions to voters on Iowa caucus night that rival Ben Carson was quitting the 2016 race. The rumor may have prompted some Carson supports to back Cruz instead.

His campaign took accurate reports from CNN — about Carson planning to go home to Florida instead of straight to New Hampshire for the next contest — and twisted them to make it appear that Carson was quitting.

—Cruz's campaign sent mailers to Iowans that resembled an official notice, warning recipients about "low expected voter turnout in your area." The mailer referred to a "voting violation" and graded the recipient's voting history and that of neighbors, citing public records.

The goal was persuade Iowans to turn out for the presidential caucuses by insinuating that their record of voting or not had gained attention of authorities and that their neighbors would know if the recipient did not vote. Iowa's secretary of state criticized the tactic "as not in keeping with the spirit of the Iowa caucuses." Cruz said: "I will apologize to nobody for using every tool we can to encourage Iowa voters to come out and vote."