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IBM

MCP Math Server

by IBM

is_odd

Check if a number is odd by determining whether it's divisible by 2. This tool helps identify odd numbers in mathematical calculations and number theory applications.

Instructions

Check if a number is odd (not divisible by 2). (Domain: arithmetic, Category: number_theory)

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 the full burden. It mentions the tool checks oddness but doesn't disclose behavioral traits like error handling (e.g., for non-integer inputs), performance, or return format. This leaves gaps for a tool with no structured safety hints.

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 front-loaded with the core purpose in a single, efficient sentence. The parenthetical domain/category adds minor context without verbosity, making it appropriately concise for a simple tool.

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?

Given the tool's low complexity (one integer parameter) and lack of annotations or output schema, the description is minimally adequate. It covers the basic operation but misses details like return type or edge cases, which could be helpful for completeness.

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

Parameters3/5

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

Schema description coverage is 0%, but the description adds meaning by specifying that the input 'n' is a 'number' to check for oddness. However, it doesn't detail constraints beyond what the schema implies (integer type), so it partially compensates but remains basic.

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 ('Check') and resource ('a number'), and distinguishes it from its sibling 'is_even' by explicitly defining oddness as 'not divisible by 2'. This is precise and unambiguous.

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 like 'is_even' or other number-checking tools. It only defines what the tool does, without context or exclusions.

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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