The article describes some practices of using Systems for Teaching and Assessment using Computer Algebra Kernel (STACK) in LMS Moodle to organize and support adaptive mathematics learning at the university. It highlights the potential opportunities of this technology in the educational process to ensure effective teaching and learning in mixed or distance learning environments. Shifting the educational focus from providing static content, the same for all students, to a didactically motivated adaptive design of content and activities is an urgent task and goal of modern education. STACK is one of the leading technologies that allows the creation of dynamic, variable tests with automatic evaluation of student answers and individual feedback. However, there is no widespread practice of its use in Ukraine. Therefore, the author’s examples focus on the advantages of interactive math tests using the potential response tree, particularly during formative assessment, and step-by-step tasks with separate prompts for self-study. Examples of STACK integration with LMS Moodle functions, such as Quiz and Grouping users, demonstrate the technology’s capabilities to create personalized learning trajectories during the study of mathematical disciplines. Below are some feedback examples from students about the positive aspects of using STACK