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IBM

MCP Math Server

by IBM

is_palindromic_number

Check if a number reads the same forwards and backwards in any base, including decimal, binary, or other numeral systems.

Instructions

Check if a number is palindromic in given base. (Domain: arithmetic, Category: digital_operations)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes
baseNo
Behavior2/5

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

No annotations are provided, so the description carries the full burden of behavioral disclosure. It mentions the domain ('arithmetic') and category ('digital_operations'), but does not explain critical behaviors like what constitutes a palindromic number, how base conversion affects the check, error handling for invalid inputs, or the return format (e.g., boolean). This leaves significant gaps for a tool with no annotation coverage.

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?

The description is concise and front-loaded with the core functionality in the first sentence. The domain and category annotations are brief and relevant. There is no wasted text, making it efficient for quick understanding, though it could benefit from more detail given the lack of other documentation.

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

Completeness2/5

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

Given the complexity of a palindromic check with base conversion, no annotations, no output schema, and low schema coverage, the description is incomplete. It does not cover behavioral aspects, parameter details, or return values, leaving the agent with insufficient information to use the tool effectively beyond basic inference.

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?

The input schema has 0% description coverage, so the description must compensate. It mentions parameters 'n' and 'base' implicitly ('number' and 'given base'), but does not explain their semantics, constraints (e.g., base range, integer requirements), or default behavior (base defaults to 10 per schema). This adds minimal value beyond the schema's structural information.

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 clearly states the tool's purpose: 'Check if a number is palindromic in given base.' It specifies the verb ('Check'), resource ('number'), and scope ('in given base'), making the function unambiguous. However, it does not explicitly differentiate from sibling tools like 'palindromic_numbers' or 'next_palindrome', which reduces it from a perfect score.

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?

The description provides no guidance on when to use this tool versus alternatives. It lacks context on prerequisites, typical use cases, or comparisons to sibling tools such as 'palindromic_numbers' (which might list palindromic numbers) or 'next_palindrome' (which finds the next palindrome). Without such information, the agent must infer usage from the tool 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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