frontiermath_finite_fields

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

No annotations are provided, so the description must disclose behavioral traits. It indicates this is a computation/analysis tool, implying a read-only, non-destructive operation, but it does not explain what the output looks like, whether it can fail, or any side effects. This is minimal transparency.

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 a single short sentence and is front-loaded, but it is under-specific and generic. While it is not verbose, the words 'computations and analysis' do not add meaningful detail, making the brevity a drawback rather than a strength.

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?

With only two parameters and no output schema, the description still does not explain what the tool returns or how to interpret the result. It also lacks usage context. For a mathematical computation tool, an agent needs more context to rely on it correctly, so completeness is insufficient.

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 input schema provides 100% coverage with descriptions for both parameters, including an example for the required 'field' parameter and an enum with default for 'operation'. The description itself adds no parameter information beyond the schema, so the baseline of 3 applies.

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 'Perform finite field computations and analysis' identifies the domain (finite fields) and a generic verb, but it does not specify what kinds of computations or analyses are available. It is not a tautology, but it lacks the specificity needed to distinguish it from broader problem-solving tools, and it does not mention the actual operations (analyze, compute_structure) from the schema.

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 on when to use this tool versus its siblings such as frontiermath_solve_problem or frontiermath_number_theory. The description does not state use cases, prerequisites, or exclusions, so an agent receives no help in selecting between alternatives.

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