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Scored across 21 tools
Each tool targets a distinct operation or transform family, and the descriptions clearly separate direct computation from step-by-step variants. The main ambiguity is between solve_equation/step_by_step_algebra and laplace_transform_signal/step_by_step_laplace, but the stated outputs make the distinction usable.
Transform and check tool families are consistent (laplace_transform_signal, inverse_laplace_transform_signal, check_linearity, check_time_invariance), but the overall set mixes verb_noun names, bare verbs like differentiate, and noun-phrase names like poles_and_zeros and uniform_quantization. The naming is readable and snake_case throughout, but not a uniform verb_noun pattern.
With 21 tools, the server is on the heavy side and overlaps somewhat with redundant step-by-step variants. Most tools do serve distinct math or signals purposes, but the count sits in the borderline 16-25 range rather than being tightly scoped.
Core algebra, calculus, convolution, and major transforms are covered, including inverse Laplace and Fourier transforms. However, there are notable gaps such as inverse Z-transform, inverse DTFT, definite integration, limits, and series support, which leave dead ends for some signal workflows.