Some examples:
TRUMP, on Hunter Biden, whose father is former Vice President Joe Biden, a Trump political rival: "Guy walks in, no experience, no nothing, walks out with $1.5 billion. Gee, flies in on Air Force 2 with his father, the vice president. ... So China gives his son $1.5 billion. How would you like to have Joe Biden take over negotiations right now with China? I don't think so." — Minneapolis rally Thursday.
THE FACTS: There's no evidence Hunter Biden pocketed $1.5 billion from China. More generally, accusations of criminal wrongdoing by father or son are unsubstantiated.
In 2014, an investment fund started by Hunter Biden and other investors joined with foreign and Chinese private equity firms in an effort to raise $1.5 billion to invest outside China. That's far from giving Hunter Biden such a sum, as Trump describes it.
Hunter Biden's lawyer, George Mesires, told the PolitiFact website that his client was an unpaid director of the fund at the time and it ended up raising less than one-third of its target.
Trump's attempt to press Ukraine to investigate the Bidens is at the center of the impeachment inquiry into the president's activities in office; Trump also has called for China to investigate them. Joe Biden is contending for the 2020 Democratic nomination to run against Trump.
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IMPEACHMENT
TRUMP: "Adam should be Impeached!" — tweet Tuesday.
TRUMP, on House Speaker Nancy Pelosi, D-Calif., and Democratic Rep. Adam Schiff of California, chairman of the House Intelligence Committee: "Nancy Pelosi knew of all of the many Shifty Adam Schiff lies and massive frauds perpetrated upon Congress and the American people, in the form of a fraudulent speech ...This makes Nervous Nancy every bit as guilty as Liddle' Adam Schiff for High Crimes and Misdemeanors ... I guess that means that they, along with all of those that evilly 'Colluded' with them, must all be immediately Impeached!" — tweet Sunday.
THE FACTS: There's no danger that either Schiff or Pelosi, who last month launched impeachment proceedings against Trump, will be impeached themselves. That's because House members cannot be impeached under the Constitution.
The House does have the power to expel one of its members by a two-thirds vote, but there are little grounds for it based on what Trump alleges.
Trump's reference to a "fraudulent speech" comes from remarks Schiff made last month at a committee hearing, when he mocked the president's pleas in his July call to Ukrainian President Volodymyr Zelenskiy.
Schiff said his remarks were a parody, reflecting the "essence" of what he believed Trump was conveying to Zelenskiy, "shorn of its rambling character."
Trump routinely mocks critics, as he did in this tweet, and invents dialogue that he attributes to them.
The House has expelled only five of its own, based on charges of members supporting the Confederacy during the Civil War or bribery and corruption.
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SYRIA and TURKEY
TRUMP, on removing U.S. troops from Syria: "I was elected on getting out of these ridiculous endless wars, where our great Military functions as a policing operation to the benefit of people who don't even like the USA. The two most unhappy countries at this move are Russia & China, because they love seeing us bogged...down." — tweets Monday.
THE FACTS: That's a dubious reading of Russia, in particular.
Both Russia and Iran stand to gain from a U.S. troop withdrawal and will probably bide their time until they can move in and retake the area. With their help, Syrian President Bashar Assad has recaptured most of the Syrian territory except for the north and east.
Iran and Russia are both key allies of Assad's government with troops on the ground in Syria. While they may publicly oppose a Turkish incursion into Syria , they probably don't mind an operation that diminishes the U.S.-allied Kurdish forces.
Some of Turkey's incursions into Syria appeared to have been coordinated with Russia and Iran.
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TRUMP: "We defeated 100% of the ISIS Caliphate." — tweet Thursday.
TRUMP: "When I arrived in Washington, ISIS was running rampant in the area. We quickly defeated 100% of the ISIS Caliphate." — tweet Monday.
THE FACTS: His claim of a 100% defeat is misleading because the Islamic State group still poses a threat.
IS was defeated in Iraq in 2017, then lost the last of its land holdings in Syria in March, marking the end of the extremists' self-declared caliphate.
Still, extremist sleeper cells have continued to launch attacks in Iraq and Syria and are believed to be responsible for targeted killings against local officials and members of the Syrian Democratic Forces.
IS controlled large swathes of northern and eastern Syria, where they declared a caliphate in 2014 along with large parts of neighboring Iraq.
U.N. experts warned in August that IS leaders are aiming to consolidate and create conditions for an "eventual resurgence in its Iraqi and Syrian heartlands."
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TRUMP: "So many people conveniently forget that Turkey is a big trading partner of the United States, in fact they make the structural steel frame for our F-35 Fighter Jet." — tweet Tuesday.
THE FACTS: Actually, Turkey won't be providing the steel for U.S. F-35 fighter jets much longer.
The Trump administration removed Turkey from the F-35 program in July because the Turks refused to cancel the purchase of a Russian S-400 air defense system that is incompatible with NATO forces. At the time, the White House said the S-400 would compromise the F-35 program and aid Russian intelligence.
As part of that process, the U.S. said it will stop using any Turkish supplies and parts by March.
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TRUMP: "We quickly defeated 100% of the ISIS Caliphate, ...including capturing thousands of ISIS fighters, mostly from Europe. But Europe did not want them back, they said you keep them USA!" — tweet Monday.
TRUMP: "Most of them came from Europe." — Minneapolis rally.
THE FACTS: Not true. The foreign fighters captured and being held by the U.S.-allied Kurds are not mostly from Europe, which Trump has argued could easily reclaim them.
Of the more than 12,000 IS fighters in custody in Kurdish areas, only 2,500 are from outside the region of the conflict, some from Europe, some from other parts of the world. But most of captured fighters — about 10,000 — are natives of Syria or Iraq.
Trump has said it will now be up to countries in the region to decide what to do with captured fighters.