factorial_calculator

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

The only behavioral disclosure is the cost ($0.001 USDC via x402). With no annotations, the description carries the full burden, yet it omits any mention of input expectations, output format, side effects, or whether the computation is local/pure. This is a minimal but non-empty disclosure.

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

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

The description is extremely brief and front-loaded with the tool name, followed by a useful cost note. Every word earns its place, and there is no fluff. However, the brevity borders on under-specification, which is a completeness issue rather than a conciseness issue.

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

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

Given the generic parameter wrapper, lack of output schema, and no annotations, the description is far too thin to be actionable. The agent cannot determine how to invoke the tool correctly, what to pass, or what to expect back. The cost note is the only extra context.

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

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

The schema uses a generic 'params' JSON object with the unhelpful description 'Tool parameters as JSON object.' Even though schema description coverage is technically 100%, the description adds no real meaning. The tool description does not specify what fields the parameters object should contain, leaving the agent to guess how to pass the number.

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

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

The description 'factorial calculator' is a near-verbatim restatement of the tool name, adding no verb or resource detail beyond the name itself. The 'Other Utilities tool' label gives minimal category context but does not clarify the function. This is a tautology.

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

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

There is no guidance about when to use this tool versus any of the many math/calculator siblings. No context, prerequisites, or exclusions are provided, leaving the agent to infer usage purely from the name.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.