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Commons Speaker John Bercow has acknowledged that "strong and differing views were expressed" within the House of Commons, after claims he referred to as a cupboard minister "a stupid woman".
The Telegraph reported he made the feedback about Commons Leader Andrea Leadsom beneath his breath.
Mr Bercow's workplace mentioned it might not touch upon "suggested accounts of private conversations".
An announcement added Mr Bercow "treats his colleagues with respect".
BBC political correspondent Alex Forsyth mentioned the allegations would add to strain on Mr Bercow following allegations of bullying from former members of workers, which he has denied.
The story within the Telegraph and the Sun suggests Mr Bercow muttered insults beneath his breath following prime minister's questions on Wednesday.
Asked to reply, the Speaker's workplace mentioned: "Wednesday was an uncommon and controversial day in how enterprise was dealt with within the House by the federal government and a few robust and differing views had been expressed on all sides on the topic.
"The Speaker treats his colleagues with respect and strives at every turn to facilitate the House of Commons."
On Wednesday, the Commons Standards Committee voted towards an investigation by Parliamentary Commissioner for Standards Kathryn Stone into the allegations of bullying made towards Mr Bercow.
The Speaker's former non-public secretary, Angus Sinclair, has mentioned Mr Bercow shouted and swore at him, and tried to bodily intimidate him.
A spokesman for Mr Bercow has mentioned there may be "no substance" to the allegations.