The researchers proposed an interpretable reasoning framework guided by a verifier, aimed at improving the performance of transparent educational Q&A. This framework is based on the Qwen2.5-3B-Instruct model, uses gold-anchored QLoRA for supervised adaptation, and incorporates a task-aware hybrid expert system. Through a lightweight routing mechanism, logical questions are assigned to the FOL/Z3 verifier, while physical questions are handled by a symbolic solver that understands formulas and units. In tests involving 438 examples not used in training, the introduction of Group Relative RLVR (Reasoning with Language and Verification) significantly improved the reasoning depth and interpretability metric P3, from 50.68% to 72.20%, while the combined accuracy metric P1 remained stable at 55.94%. The results show that RLVR effectively strengthened the explicit reasoning structure, and symbolic verification supplemented the reliability of neural strategies through system-level corrections, outperforming methods that relied solely on self-consistency.