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Scored across 82 tools
Most tools have distinct purposes with detailed descriptions, but there are clear overlaps: symbolic_equal and verify_equality both check expression equivalence, and derivation_show/derivation_status both display session state. The large set of algebraic manipulation tools (expand, factor, collect, trigsimp, etc.) is individually distinct but adds cognitive load for selection.
Tool names are mostly snake_case but follow inconsistent patterns: noun_verb prefixes (derivation_*, formula_*) are mixed with verb_noun names (calculate_limit, solve_inequality, verify_equality). Outliers like symbolic_equal and nsforge_health break the convention, making the naming predictable only within subfamilies.
With 82 tools, this server is far beyond the typical 3-15 tool scope and falls in the extreme category for tool count. The sheer number overwhelms an agent's ability to understand and coordinate the full surface, even though the domain is broad.
The tool set covers the symbolic mathematics and derivation domain very thoroughly: session management, formula lookup, algebraic manipulation, calculus, transforms, verification, report/code generation, and task planning. Minor gaps exist (no direct ODE solver or matrix operations), but handoff tools to SymPy-MCP fill those niches, so the surface is largely complete.