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IBM

MCP Math Server

by IBM

cube_numbers

Calculate cube numbers by computing n³ for any integer n, generating the sequence of cubic values (1, 8, 27, 64, ...).

Instructions

Generate the first n cube numbers (1, 8, 27, 64, 125, ...). nth cube number = n³. (Domain: arithmetic, Category: general)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes
Behavior2/5

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

No annotations are provided, so the description carries full burden. It describes what the tool does (generates cube numbers) but doesn't disclose behavioral traits like error handling, performance characteristics, input validation, or output format. For a mathematical tool with no annotations, this represents a significant gap in behavioral transparency.

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 perfectly concise and well-structured: one sentence stating the purpose with examples, one sentence providing the mathematical formula, and a brief domain/category tag. Every element adds value with zero wasted words, and the most important information (what the tool does) comes first.

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?

For a single-parameter mathematical tool with no annotations and no output schema, the description is adequate but has clear gaps. It explains what the tool does and the parameter meaning, but doesn't describe the output format (list? array? string?), error conditions, or performance considerations. Given the simplicity of the tool, it's minimally viable but could be more complete.

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 meaningful context about the parameter 'n' by explaining 'nth cube number = n³' and providing examples, which goes beyond the schema's simple integer type declaration. With 0% schema description coverage, the description effectively compensates by clarifying what 'n' represents mathematically, though it doesn't specify constraints like minimum/maximum values.

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 clearly states the tool's purpose with a specific verb ('Generate') and resource ('first n cube numbers'), provides the mathematical formula (n³), and gives concrete examples (1, 8, 27, 64, 125, ...). It distinguishes itself from sibling tools by focusing specifically on cube numbers rather than other mathematical sequences or operations.

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?

The description implies usage through the mathematical context ('Domain: arithmetic, Category: general'), but doesn't explicitly state when to use this tool versus alternatives. While it's clear this is for generating cube numbers, there's no guidance about when this would be preferred over other sequence-generation tools or mathematical operations in the sibling list.

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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