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

With no annotations provided, the description carries the full behavioral burden, yet it discloses nothing: not the output format, not error behavior for non-coprime inputs, and not whether 'm' must be prime. A modular inverse tool has meaningful edge cases that go entirely unmentioned.

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?

It is short, but the brevity is under-specification rather than conciseness: the single phrase is pure redundancy with the name and carries zero information.

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?

No annotations, no output schema, uninformative parameter descriptions, and a tautological description leave the definition completely inadequate for a two-parameter mathematical tool with real edge cases.

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?

Schema coverage is nominally 100%, but the schema descriptions are placeholder text ('A to process', 'M to process') that convey no meaning. The description adds nothing to clarify that 'a' is the value and 'm' is the modulus, so an agent cannot confirm parameter roles from either source.

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 merely repeats the tool name twice ('Multiplicative Inverse: Multiplicative Inverse'), which is a tautology rather than a statement of what the tool computes. It hints at a math operation but never says it computes a modular inverse of 'a' modulo 'm', nor does it distinguish itself from the hundreds of sibling number-theory tools.

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 when-to-use guidance, no prerequisites, and no mention of alternatives among the many sibling modular-arithmetic tools. An agent gets no signal about when this tool is the right choice.

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