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amichae2

Math MCP Server

by amichae2

expand

Expands algebraic expressions like (x+1)^3 into their expanded form. Provide any SymPy-compatible expression to see the complete expansion.

Instructions

Expand a mathematical expression.

Args:
    expression: SymPy-compatible expression.
                Examples: "(x+1)**3", "(a+b)*(c+d)"

Returns:
    Standard result dictionary containing the expanded expression.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes

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 provided, and the description does not disclose behavioral traits such as error handling, performance considerations, or limitations beyond stating it returns a standard result dictionary.

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 (two short sections), well-structured with Args and Returns headers, and contains no superfluous information.

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

Completeness3/5

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

While the output schema reduces the need for return details, the description lacks usage context such as when to use expand over simplifying, and with no annotations, behavioral context is missing.

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

Parameters4/5

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

The description adds value by providing SymPy-compatible expression examples, which compensate for the 0% schema description coverage on the single parameter.

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

Purpose5/5

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

The description uses a specific verb ('Expand') and resource ('mathematical expression'), clearly distinguishing it from siblings like 'simplify' or 'factor'.

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 on when to use this tool versus alternatives like simplify or factor; the description only provides examples of input expressions.

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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