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YasogaN

Math MCP Server

by YasogaN

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Multiplies out factored or compound algebraic expressions to their fully multiplied form using Algebrite. Example: (x+1)^3 becomes x^3+3x^2+3x+1.

Instructions

Expands a factored or compound expression using Algebrite. Examples: '(x+1)^3', '(a+b)(a-b)', '(x+2)(x-2)'

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
Behavior2/5

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

No annotations, and description only mentions using Algebrite and gives examples. Omits behavioral details like error handling, unsupported expressions, or performance traits.

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

Conciseness4/5

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

Single sentence with examples; concise and front-loaded. No wasted words.

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?

Adequate for a simple 1-param tool with no output schema, but lacks error conditions, input validation hints, or output description.

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

Parameters2/5

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

Schema coverage is 0%, and description provides only examples, not explicit semantics for the 'expression' parameter beyond being a string. Doesn't specify valid formats or constraints.

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?

Clearly states it expands factored or compound expressions using Algebrite, with examples that distinguish it from siblings like factor and simplify.

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

Usage Guidelines3/5

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

No explicit when-to-use or when-not-to-use guidance. Examples imply usage for algebraic expansion, but doesn't contrast with sibling tools like factor or simplify.

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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