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IBM

MCP Math Server

by IBM

perfect_squares

Generate the first n perfect squares for mathematical calculations and sequence analysis. This tool computes square numbers starting from 1 to support arithmetic operations and pattern recognition.

Instructions

Generate the first n perfect squares. (Domain: arithmetic, Category: basic_sequences)

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 of behavioral disclosure. It states what the tool does but doesn't describe important behavioral aspects: what 'n' represents (e.g., maximum value constraints, whether it must be positive), the output format (e.g., list of integers), performance characteristics, or error handling. For a tool with zero annotation coverage, this is insufficient.

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

Conciseness5/5

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

The description is extremely concise and front-loaded with the core purpose in the first sentence. The domain/category information in parentheses adds useful context without verbosity. Every word serves a clear purpose with zero wasted text.

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

Completeness2/5

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

Given the tool's simplicity (one parameter, no output schema, no annotations), the description is incomplete. It doesn't explain the parameter semantics adequately, doesn't describe the output format, and provides no behavioral context. While the tool is mathematically straightforward, the description leaves too much for the agent to infer.

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

Parameters2/5

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

Schema description coverage is 0%, so the description must compensate for the undocumented parameter 'n'. The description mentions 'n' in context ('the first n perfect squares') but doesn't explain its meaning, constraints (e.g., must be positive integer, range limits), or provide examples. This leaves significant ambiguity about parameter usage.

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 ('Generate') and resource ('the first n perfect squares'), and distinguishes it from siblings by specifying the exact sequence type. It also provides domain/category context ('Domain: arithmetic, Category: basic_sequences') which helps differentiate it from other mathematical tools.

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. While it mentions the domain/category, it doesn't specify use cases, prerequisites, or compare it to similar tools like 'square_numbers' or 'nth_perfect_square' that appear in the sibling list. The agent must infer usage from the purpose alone.

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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