WASHINGTON — The speaker of the House, John A. Boehner, waved aside reports on Friday that President Obama would seek a new budget compromise next week, accusing the president of again demanding tax increases in exchange for “modest entitlement savings.”

“If the president believes these modest entitlement savings are needed to help shore up these programs, there’s no reason they should be held hostage for more tax hikes,” Mr. Boehner said in a statement. “That’s no way to lead and move the country forward.”

At the same time, Mr. Obama’s supporters on the left quickly vented their anger about his plans, saying they would not accept changes to Social Security and Medicare that would threaten the programs and harm beneficiaries.

“Evidently the president either does not understand or does not care how critically important Social Security and Medicare are, not just to seniors but to middle-aged and younger workers for whom these programs are likely to be even more crucial,” said Eric Kingson, a co-chairman of the Strengthen Social Security coalition, a group of unions and left-leaning organizations.