After the defeat, the council trimmed $1.18 million from town departments, and the board of education cut $1.4 million by eliminating 19 teaching jobs.
Mr. Pierorazio said the district would now have to consider taking further steps, like eliminating vacant teaching and administrative positions, cutting back on interscholastic sports, and reducing noninstructional expenses like maintenance and upkeep of school buildings.
The department will save $1 million by reducing the number of citywide standardized tests to 8, instead of 10 as originally planned, and cut $10 million by eliminating some teaching positions for English as a second language instruction.
Mr. Beckman said N.Y.U. has eliminated paid teaching assistantships for most graduate students and replaced them with fellowships, which do not include responsibilities such as teaching.
In addition, the city will eliminate 2,000 teaching positions and up to 4,000 nonteaching positions through attrition.
In the budget he released last month, Mr. Bloomberg said the city would have to eliminate 6,100 teaching jobs, most of them through layoffs, to balance its books.
Although he announced no specific plan of attack, he said one option might be to eliminate the teaching of evolution altogether.
Mayor Michael R. Bloomberg said Friday that he intended to eliminate 4,100 teaching jobs through layoffs, and about 2,000 through attrition, the first significant layoffs of teachers since the fiscal crisis of the 1970s.
Some local officials are questioning the timing, since the city is also planning to cut $1.3 billion from its budget for new school construction over the next three years, and to eliminate 6,100 teaching positions, including 4,600 by layoffs.
Following the defeat of Teaneck's budget, which called for a record 10.2 percent tax increase, the district eliminated 45 teaching positions and four administrative positions as part of a $6.1 million reduction.
