Grant Shapps, who briefly served in Liz Truss's cabinet, said inflation must fall before taxes are cut.
Unite's leader says the PM should intervene, ahead of the biggest week of walkouts in NHS history.
Sir Ed Davey says a higher minimum wage for the sector would help prevent an "exodus" to better paid jobs.
Jake Berry argues MPs and ministers should be treated like "anyone else".
The Green Party is hoping council gains will pave the way for a second MP at Westminster.