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amichae2

Math MCP Server

by amichae2

solve

Symbolically solve equations or systems. Specify variables, domain (real, complex, integer, positive), and include step-by-step reasoning.

Instructions

Solve equations or systems of equations symbolically.

Args:
    equation: Equation string or comma-separated system.
    variables: Optional variable names to solve for.
    domain: "real", "complex", "integer", or "positive".
    show_steps: Whether to include a short human-readable explanation.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
equationYes
variablesNo
domainNoreal
show_stepsNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are present, so the description must disclose behavioral traits. It only states the purpose and parameter details but fails to mention limitations, algorithm type, or potential performance issues for complex systems.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is concise with a clear purpose sentence followed by parameter definitions. No redundant information; every part is necessary and front-loaded.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

The output schema exists, so return value details are not needed. The parameter descriptions are complete, but the tool lacks context on when to use it versus siblings and behavioral details, making it slightly incomplete given the complexity of the tool.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters5/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, but the description thoroughly explains each parameter including the domain's allowed values (real, complex, integer, positive) and the show_steps purpose. This fully compensates for the missing schema descriptions.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states it solves equations or systems symbolically, which is clear and specific. However, it does not explicitly differentiate from siblings like 'solve_linear' or 'dsolve', which would help an agent choose correctly.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance is provided on when to use this tool versus alternatives such as 'dsolve' for differential equations or 'solve_linear' for linear systems. The agent must infer usage from the name alone.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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