A system for adjusting a cutting tool includes a cutting system that includes a cutting tool that includes a tip configured to cut material thermoformed to a dental model. The cutting system is configured to determine, based on a cut line generated for the cutting tool to cut a dental aligner from material thermoformed onto a dental mold, a target tool vector defined by an angle of a tip of the cutting tool with respect to a surface of the dental model at the cut line, compare the target tool vector to a constraint of the cutting tool, and adjust a position of the tip of the cutting tool with respect to the cut line to compensate for the target tool vector being outside the constraint of the cutting tool.