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

With no annotations, the description must carry the behavioral burden. It only says expressions are found, without disclosing rules such as the number of inputs, allowed operations, whether multiple solutions are returned, output format, or behavior on unsolvable inputs.

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 short and scannable with no wasted sentences. The leading '24game Solve:' is somewhat redundant with the tool name, but the rest of the sentence is concise and informative.

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?

For a tool with no annotations and no output schema, the description is under-specified. It does not state the expected input format, which of the three similar parameters to use, the constraints of the 24 Game, or the shape of the solution, leaving an agent uncertain about correct invocation.

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 description coverage is 100%, so the baseline is 3; however, the parameter descriptions are generic ('Nums to process', 'Cards to process', 'Numbers to process') and provide no format guidance. The tool description adds no parameter semantics beyond the schema.

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 states a specific operation (solve the 24 Game puzzle) and the expected outcome (expressions evaluating to 24). It clearly names the game/resource, though it does not explicitly differentiate itself from other puzzle-solving siblings like x402-sudoku-solve or x402-2048-move beyond the game name.

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?

The intended usage is implied: use this tool when asked to solve a 24 Game puzzle. However, there is no explicit guidance about when not to use it, what input forms are acceptable, or how it compares to sibling solvers.

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