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Scored across 21 tools
Most tools target clearly distinct mathematical operations, but a few boundaries overlap: solve_quadratic is a special case of solve_symbolic_equation, matrix_inverse is closely related to solve_linear_system, and evaluate vs simplify_expression could be confused by less careful agents. Descriptions generally clarify the intended use, so misselection is unlikely but possible.
All names use snake_case and are domain-readable, which is a strong baseline. However, the set mixes verb phrases (evaluate, differentiate, integrate), noun phrases (taylor_series, descriptive_statistics, definite_integral), and bare operation names (limit), so the pattern is not fully predictable.
21 tools is above the ideal 3-15 range, but the math domain is broad and each tool covers a distinct operation across calculus, algebra, matrices, number theory, and statistics. The count is slightly heavy yet still reasonable for a comprehensive math toolkit.
The surface covers core algebra, calculus, linear algebra, number theory, statistics, and base conversion with no obvious dead ends. Minor gaps remain, such as matrix addition/eigenvalues, general polynomial manipulation beyond quadratic solving, complex arithmetic, and numerical root-finding.