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Sometimes when I apply the brakes, the vette veers off left or right. When it does that, it's usually a strong pull. Most of the time it goes straight. Could this be the master brake cylinder?
Don't think it is the master cylinder. There are lot of possible reasons for your problem. Some things to look at:
are tires properly inflated?
is the road surface even? irregularities in the road can cause you to pull to the left or right.
are the brake pads on one side more worn or unevenly worn than the others?