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Scored across 39 tools
Most tools map to distinct SymPy operations (solve, simplify, factor, integrate, matrix, vector, units), so selection is generally clear. Some overlaps remain: intro vs intro_many, introduce_expression can also create matrices despite create_matrix, and solve_algebraically overlaps conceptually with system solvers, though descriptions mostly clarify.
Most names follow readable action-oriented patterns such as solve_*, create_*, calculate_*, and *_expression. Deviations are minor but visible: intro/intro_many, noun-first matrix_* operations, and quantity_simplify_units break the otherwise consistent verb-first convention.
At 39 tools the server is heavily over-scoped relative to a typical MCP tool surface, spanning algebra, calculus, ODE/PDE, matrices, vector calculus, units, and tensors. Even though many tools correspond to real SymPy functions, the count is high enough to burden tool selection and discoverability.
The surface covers a broad symbolic algebra lifecycle: variables, expressions, manipulation, solving, calculus, ODE/PDE, matrices, vector calculus, units, and tensors. Minor gaps exist, such as individual listing/deletion of stored objects, numeric evaluation, and fuller matrix arithmetic beyond inverse/determinant/eigen operations.