We study how teacher interactions with student groups relate to team's problem-solving capabilities in the teaching of mathematics in open-access institutions of higher education in Chile. We define a teacher interaction as the moment in which a teacher visits a group of student working on a problem-solving activity. The data is based on 25 videos of classroom teaching of 11 teachers. Through the analysis of about 700 interactions observed in videos, we described and measured items such as the number of students who talk during the interaction or whether the teacher interacts mostly with questions. We also created a variable we called depth of the solution, which indicates whether a team solved the problem and how far they went in further problem extensions. This measure was used as the dependent variable, regressed on multiple teachers' interaction variables, and controlled by several teachers and team characteristics. We used the idea of scaffolding as a framework to analyze and discuss the data. We found evidence that the fewer teachers interrupt student groups, the further students go into the mathematics content of the problem-solving task.