<p>Mrs. Clinton said Senator Bernie Sanders has been a &#8220;largely very reliable supporter&#8221; of the National Rifle Association.</p> 
<p>Hillary Clinton said &#8220;of course&#8221; she would sign legislation raising the federal minimum wage to $15 an hour.</p> 
<p>Mrs. Clinton said more guns brought into New York and used in crimes come from Vermont, on a per capita basis, than any other state.</p> 
<p>Senator Bernie Sanders said Hillary Clinton has received significant contributions from the fossil fuel industry.</p> 
<p>"If you look back to Iowa, Ted did change his view and his stance on ethanol quite a bit."</p> 
<p>Gov. John Kasich said he would pressure China to use its influence on its neighbor North Korea, resist its aggression in the South China Sea and strengthen United States capabilities to fight Chinese cyberhacking.</p> 
<p>Marco Rubio said that the political and human-rights situation in Cuba had worsened since President Obama made his diplomatic opening to the island.</p> 
<p>Donald J. Trump said he would "listen to the generals" in deciding how many troops to commit to the battle against ISIS -- and the numbers he is hearing are 20,000 to 30,000.</p> 
<p>Ted Cruz said Hillary Clinton, like Donald Trump, expresses a desire to be neutral between the Israelis and Palestinians.</p> 
<p>Trump: "G.D.P. was zero, essentially, for the last two quarters."</p> 
<p>Marco Rubio says that most green cards are granted on the basis of family relationships.</p> 
<p>"We're going to have to make changes in Social Security."</p> 
<p>Mr. Kasich said he held 200 town hall-style meetings in New Hampshire.</p> 
<p>Mr. Trump said the families of some Sept. 11 hijackers were allowed to leave the U.S. days before the attacks.</p> 
<p>Mr. Cruz claimed Donald J. Trump repeatedly donated to Mrs. Clinton, writing several checks to her presidential campaign eight years ago.</p> 
<p>"Every other country we do business with, we are getting absolutely crushed on trade."</p> 
<p>Mr. Rubio said two-thirds of the votes cast in the Republican primaries and caucuses to date have gone against Donald J. Trump.</p> 
<p>Mr. Trump says he has beaten Hillary Clinton in many general election polls.</p> 
<p>Mr. Kasich said he was the only candidate to mention jobs at last week&#8217;s Republican debate.</p> 
<p>Mr. Rubio said Donald J. Trump received draft deferments because he had injuries from playing squash.</p> 
<p>Mr. Trump said the Canadian border is about four times as long as the Mexican border.</p> 
<p>Mr. Trump said he never advocated for the United States to topple Libya's Muammar el-Qaddafi.</p> 
<p>Democratic-appointed Supreme Court justices always stay Democratic; not so for Republicans.</p> 
<p>Mr. Rubio says Obamacare "is not just a bad health care law. It is a job-killing law."</p> 
<p>Mr. Rubio said Donald J. Trump criticized Mitt Romney&#8217;s use of the term &#8220;self-deportation.&#8221;</p> 
<p>Donald J. Trump funded the "Gang of Eight" senators who forged immigration legislation.</p> 
<p>Mr. Trump said Ted Cruz does not have the endorsement of a single Republican senator.</p> 
<p>Mr. Trump said he used foreign workers at his Palm Beach club because Americans don't want temporary jobs in Florida.</p> 
<p>Mr. Trump says we are "losing $500 billion a year" to China.</p> 
<p>Donald J. Trump suggested he was not soliciting campaign contributions.</p> 
<p>Mr. Cruz says Donald J. Trump has contributed to John Kerry, Hillary Clinton, Chuck Schumer and Harry Reid.</p> 
<p>Mr. Cruz said Marco Rubio told Univision that "he would not rescind President Obama's illegal executive amnesty on his first day in office."</p> 
<p>"We have in Social Security right now thousands and thousands of people that are over 106 years old. Now, you know they don't exist."</p> 
<p>"It's been over 80 years since a lame-duck president has appointed a Supreme Court justice."</p> 
<p>"The Constitution actually doesn't address that particular situation."</p> 
<p>Mr. Sanders said that none of the Republican presidential candidates believe that climate change is real.</p> 
<p>Waterboarding &#8220;does not meet the generally recognized definition of torture.&#8221;</p> 
<p>Mrs. Clinton said Mr. Sanders voted in 1998 for a resolution favoring regime change in Iraq.</p> 
<p>Mr. Sanders suggested that Mrs. Clinton was not welcoming to child immigrants from Central America.</p> 
<p>&#8220;Marco Rubio has gone on Univision and said in Spanish, &#8216;No, no, no, I wouldn&#8217;t rescind amnesty.&#8217;&#8221;</p> 
<p>Mr. Christie said a nurse quarantined during the Ebola outbreak had symptoms.</p> 
<p>North Korea's new missile launch "is the direct result of the failures of the first Clinton administration."</p> 
<p>"Right now, we're the highest-taxed country in the world."</p> 
<p>Mr. Trump tried to use eminent domain to take an older woman's home.</p> 
<p>Mr. Christie said President Obama was in favor of paying ransom for hostages.</p> 
<p>Mr. Cruz said his campaign mistakenly spread the word that Ben Carson was quitting the race because of a CNN report.</p> 
<p>Mr. Christie said Marco Rubio did not vote for his own Hezbollah sanctions act.</p> 
<p>Mr. Rubio said New Jersey's credit rating had been downgraded nine times during Gov. Chris Christie's tenure.</p> 
<p>"When you ran against Senator Obama, you thought him na&#239;ve because he thought it was a good idea to talk to our enemies."</p> 
<p>"Almost all new income and wealth is going to the top 1 percent."</p> 
<p>Mrs. Clinton said Bernie Sanders's vote against "Ted Kennedy's immigration reform" in 2007 was not progressive.</p> 
<p>Mrs. Clinton says that experts agree that her Wall Street reforms are the toughest.</p> 
<p>&#8220;Millions of Americans have lost their jobs&#8221; because of President Obama&#8217;s health care law.</p> 
<p>Mr. Rubio said Hillary Clinton &#8220;wants to put Barack Obama on the Supreme Court of the United States of America.&#8221;</p> 
<p>Chris Christie said New Jersey&#8217;s job growth in 2015 was the best in the past 15 years.</p> 
<p>Marco Rubio said that other countries would go along when he ripped up the Iran deal.</p> 
<p>Chris Christie said neighbors of the San Bernardino attackers knew of their plans.</p> 
<p>Cap-and-trade emissions regulations would "destroy our economy."</p> 
<p>The average worker "has lost $4,000 in the last seven years of his income because of this administration."</p> 
<p>Ted Cruz says he would carpet bomb the Islamic State, which Obama has failed to do because he has weakened the military.</p> 
<p>"My voting record in the Senate, during my years, is almost 90 percent, which is significantly higher than Barack Obama's or Hillary Clinton's was when they were running for president."</p> 
<p>"The leader of Goldman Sachs is a billionaire who comes to Congress and tells us we should cut Social Security, Medicare and Medicaid."</p> 
<p>Senator Bernie Sanders said that the United States must transform its energy system away from fossil fuels and toward energy-efficiency and sustainable energy. "I've got the most comprehensive legislation in the Senate to do that," he said.</p> 
<p>Hillary Clinton said Senator Bernie Sanders called President Obama &#8220;weak&#8221; and &#8220;disappointing,&#8221; and, in 2011, &#8220;publicly sought someone to run in a primary&#8221; against him.</p> 
<p>Hillary Clinton said that, because of the Affordable Care Act, "We now have driven costs down to the lowest they've been in 50 years."</p> 
<p>Senator Bernie Sanders said the United States spends almost three times more than the British on health care.</p> 
<p>Senator Bernie Sanders said 29 million people in the United States do not have health insurance.</p> 
<p>Donald J. Trump said he never suggested imposing a 45 percent tariff on Chinese goods.</p> 
<p>Donald J. Trump asserted that China, by manipulating its currency, has cost the United States "millions and millions of jobs."</p> 
<p>Senator Marco Rubio said President Obama had played down the threat of the Islamic State, which practices "genocide against Christians and Yazidis and others in the region."</p> 
<p>Gov. Chris Christie said President Obama and Hillary Clinton failed to enforce a red line in threatening to use military force if President Bashar al-Assad of Syria used chemical weapons against his own people. And he said Mrs. Clinton called Mr. Assad a reformer.</p> 
<p>Jeb Bush said he would move the United States embassy from Tel Aviv to Jerusalem as a signal to Iran.</p> 
<p>Gov. Chris Christie said he did not support President Obama's nomination of Sonia Sotomayor to the United States Supreme Court.</p> 
<p>Mr. Kasich said wages have not climbed &#8220;because the Federal Reserve kept interest rates so low.&#8221;</p> 
<p>Discussing his eligibility to be president, Mr. Cruz recalled that in September, Donald J. Trump "said that he had had his lawyers look at this from every which way, and there was no issue there."</p> 
<p>Mr. Cruz said he disclosed bank loans that he obtained for his 2012 Senate campaign with the Senate, but his failure to disclose them to federal elections officials was just a paperwork error.</p> 
<p>"We have the lowest percentage of Americans working today of any year since 1977."</p> 
<p>&#8220;I never believed Edward Snowden was a good public servant the way that Ted Cruz once said, that he had done a public service for America.&#8221;</p> 
<p>Asked about his proposal for a 45 percent tariff on Chinese goods, Mr. Trump said, "I don't even know where the 45 percent came from."</p> 
<p>Mrs. Clinton said legislation that Bernie Sanders supported in 2005 forbids all lawsuits against gun makers and sellers.</p> 
<p>Mr. Rubio accused Chris Christie of having a record similar to President Obama's on issues like education, gun control and abortion.</p> 
<p>Mr. Christie said the murder rate had increased by 18 percent in Chicago and 11 percent in New York.</p> 
<p>Mr. Trump raised questions about whether Ted Cruz was eligible to be president because he was born in Canada.</p> 
<p>&#8220;I'm one of the few of the candidates that actually shows up to vote. Both Cruz and Rubio are missing the vast majority of their votes.&#8221;</p> 
<p>&#8220;Vladimir Putin is a person who has killed. He&#8217;s jailed and murdered journalists, political opponents. He bombed an apartment building as a pretext to attack the Chechens. He is responsible for the downing of that Malaysian airliner over Ukraine, because he provided the antiaircraft weaponry that was used for that.&#8221;</p> 
<p>&#8220;Our country is falling apart, frankly. Our infrastructure is a disaster. Our bridges are falling down. Sixty-one percent of our bridges are in danger.&#8221;</p> 
<p>Mrs. Clinton said Donald J. Trump &#8220;is becoming ISIS&#8217; best recruiter. They are going to people showing videos of Donald Trump insulting Islam and Muslims in order to recruit more radical jihadists.&#8221;</p> 
<p>&#8220;Senator Sanders voted against the Brady Bill. Senator Sanders voted to give immunity to gun dealers. And Senator Sanders voted against even research dollars to look into this public health issue.&#8221;</p> 
<p>Mr. Sanders said he voted against the Iraq war because of his opposition to unilateral action.</p> 
<p>&#8220;I have never supported legalization&#8221; for undocumented immigrants.</p> 
<p>&#8220;There were numerous people, including the mother, that knew what was going on. They saw pipe bombs sitting all over the floor. They saw ammunition all over the place.&#8221;</p> 
<p>&#8220;On September 10th, 2001, I was named chief federal prosecutor in New Jersey.&#8221;</p> 
<p>Mr. Cruz&#8217;s characterizations of his vote on the USA Freedom Act, which expanded N.S.A. surveillance &#8220;so we now have cellphones&#8221; and other data.</p> 
<p>"Do you know how many illegal aliens George W. Bush deported? 10 million."</p> 
<p>"When I stand across from King Hussein of Jordan, I say to him, 'You have a friend again, sir, who will stand with you to fight this fight,' he'll change his mind."</p> 
<p>Mrs. Fiorina said Stanley A. McChrystal and David H. Petraeus were "retired early because they told President Obama things that he didn&#8217;t want to hear."</p> 
<p>Mr. Rubio said the Islamic State took root because of Bashar al-Assad's decision to bomb his own people, and because of President Obama's unwillingness to arm the rebel groups.</p> 
<p>Mrs. Fiorina said Silicon Valley companies &#8220;do not need to be forced, they need to be asked&#8221; to help law enforcement get access to encrypted data.</p> 
<p>Rand Paul on Marco Rubio: &#8220;He is the one for an open border that is leaving us defenseless.&#8221;</p> 
<p>At Hewlett-Packard, Mrs. Fiorina said she provided equipment to assist the National Security Agency.</p> 
<p>Mr. Trump said he &#8220;certainly would never have made that horrible, disgusting, absolutely incompetent deal with Iran, where they get $150 billion. They're a terrorist nation.&#8221;</p> 
<p>&#8220;One of the first things I do in terms of executive order if I win will be to sign a strong, strong statement&#8221; that &#8220;anybody killing a police officer &#8212; death penalty.&#8221;</p> 
<p>&#8220;I am self-funding my own campaign. I have no people giving me money.&#8221;</p> 
<p>A poll asserting that 25 percent of Muslim Americans condone acts of violence against other Americans was from a &#8220;very highly respected group of people.&#8221;</p> 
<p>&#8220;I watched when the World Trade Center came tumbling down. And I watched in Jersey City, New Jersey, where thousands and thousands of people were cheering as that building was coming down.&#8221;</p> 
<p>Ted Cruz was &#8220;part of that coalition that worked with the Democrats like Chuck Schumer and the A.C.L.U. to harm our intelligence programs.&#8221;</p> 
<p>&#8220;I said Osama bin Laden is going to come and do damage to us. And nobody believed it.&#8221;</p> 
<p>Mr. O'Malley said parents and students were being charged 7% to 8% interest on government-backed college loans.</p> 
<p>Mrs. Clinton said she introduced legislation to rein in executive compensation on Wall Street.</p> 
<p>Mrs. Clinton said that wages, when adjusted for inflation, have been stagnant since the end of the Clinton administration.</p> 
<p>Mr. Sanders said the United States is spending hundreds of billions of dollars to maintain 5,000 nuclear weapons.</p> 
<p>&#8220;I got to know him very well because we were both on &#8216;60 Minutes,&#8217;&#8221; Mr. Trump said, referring to President Vladimir V. Putin of Russia</p> 
<p>Mrs. Fiorina said she met President Vladimir V. Putin of Russia &#8220;not in a green room for a show, but in a private meeting.&#8221;</p> 
<p>Mr. Paul says that if you want to live in a city with lower inequality, you live in a city with a Republican mayor.</p> 
<p>Dwight D. Eisenhower &#8220;moved a million and a half illegal immigrants out of this country.&#8221;</p> 
<p>&#8220;If we were serious about it, we would raise the capital requirements.&#8221;</p> 
<p>Mr. Trump said the United States was better off letting Russia and its president, Vladimir V. Putin, confront the Islamic State.</p> 
<p>Mr. Trump complained that the Trans-Pacific Partnership trade deal did nothing about currency manipulation, which is a key problem with China.</p>
Fact Checks of the 2016 Election