dubious, false, unfounded, unsubstantiated
conflicting
There are conflicting claims about the cause of the fire.

absurd, astonishing, bold, exaggerated, extraordinary, extravagant, grandiose, outrageous, ridiculous
central
the central claim of the book

health (= a claim that a product has health benefits)

make
The company had made false claims about its products.
I make no claim to understand modern art.

hear
We have heard claims like this many times before.

accept, believe
They accepted her claim that she had been ill-treated.

challenge
deny, dismiss, dispute, refute, reject
Claims of a cover-up were dismissed.

debunk, disprove
back up, bolster, substantiate, support
They were able to produce witnesses to support their claim.

prove, validate, verify
evaluate, investigate

be true, stand up

claim about
to investigate claims about appalling prison conditions

claim of
Claims of corruption within the police force were denied.

base a claim on sth

large, small
excessive
excessive wage claims

legal, legitimate
bogus, fraudulent
The police are investigating fraudulent claims for fire damage.

accident, compensation, damage (esp. AmE), damages (BrE), insurance, medical (esp. AmE), pay, wage (esp. BrE)
discrimination, harassment, malpractice (esp. AmE)
civil
to file a civil claim for damages

bring, file, lodge, make, put forward, put in, submit
She brought a claim for damages against the company.

drop, waive, withdraw
investigate
review
allow, uphold
His claim for compensation was upheld in court.

dismiss
win
meet, pay, settle
We will need extra funds to meet all the insurance claims.

arise
claims arising out of accidents at work

fail
The claim failed because the company had not been misled.

form
claims adjuster (= sb whose job is to settle claims against an insurance company)
claims payment

claim against
claims against the company for breach of contract

claim for
a claim for compensation

claim on
to make a claim on your insurance policy
I have many claims on my time.

good, strong
competing, rival
competing claims for public money

prior
She had a prior claim on his affections.

moral
land, territorial

have
He has a good claim to the land.

assert, lay, press, stake
Four men laid claim to leadership of the country.
to stake a claim to some of the prize money

establish, prove
You will have to prove your claim to the property in a court of law.

forfeit, relinquish, renounce, withdraw

claim on
His children have a claim on his estate.

claim to
She renounced her claim to the property.

justifiably, legitimately, rightfully, rightly
falsely, wrongly
The company had falsely claimed that its products were biodegradable.

plausibly
frequently, repeatedly
publicly

attempt to, try to
He tried to claim that he had acted in self-defence.

back
You can claim back some of the cost of your treatment.

be able to, be entitled to, can
You might be entitled to claim compensation if you are injured at work.

attempt to, try to

on
Can't you claim on your insurance?

Claim is used with these nouns as the subject:
advocate, article, authority, counsel, crash, critic, email, expert, magazine, newspaper, plaintiff, prosecution, prosecutor, report, researcher, sceptic, scientist, source, survey, union

Claim is used with these nouns as the object:
allegiance, allowance, ancestry, asylum, baggage, benefit, championship, citizenship, compensation, credit, crown, custody, damage, deduction, descent, discrimination, dismissal, dole, exemption, expense, heritage, immunity, inheritance, innocence, insurance, jurisdiction, libel, life, luggage, maintenance, membership, ownership, pension, political asylum, precedence, prize, rebate, refund, relief, responsibility, reward, right, share, social security, sovereignty, spoils, spot, success, superiority, support, throne, title, victim, victory, win