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IBM

MCP Math Server

by IBM

sum_digit_powers

Calculate the sum of each digit raised to a specified power for integer analysis. This tool processes numbers to compute digit power sums for mathematical investigation.

Instructions

Calculate sum of digit powers for analysis. (Domain: arithmetic, Category: special_numbers)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes
powerYes
Behavior2/5

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

No annotations are provided, so the description carries full burden. It mentions 'for analysis' which suggests a read-only calculation, but doesn't specify whether this is a pure mathematical function, what the output format is, or any constraints on inputs. The description is too minimal to provide adequate behavioral context for a tool with 2 parameters.

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

Conciseness4/5

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

The description is very concise - just one sentence plus domain/category tags. While efficient, it may be too brief given the lack of parameter explanation. The structure is clear with the main purpose stated first, but could benefit from more complete information.

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?

For a 2-parameter mathematical tool with no annotations, 0% schema description coverage, and no output schema, the description is inadequate. It doesn't explain the mathematical operation, parameter meanings, expected output format, or any edge cases. The domain/category tags help minimally, but don't compensate for the missing core information.

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 schema provides no parameter documentation. The description mentions 'digit powers' but doesn't explain what 'n' and 'power' parameters represent. It doesn't specify whether 'n' is the number whose digits are processed, what digit power calculation means mathematically, or any constraints on parameter values.

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

Purpose3/5

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

The description states the tool 'Calculate sum of digit powers for analysis' which gives a general purpose (verb+resource), but it's vague about what 'digit powers' means mathematically and doesn't distinguish from sibling tools like 'digit_sum' or 'digit_product'. The domain/category tags add some context but don't clarify the specific operation.

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. With many sibling tools performing digit operations (digit_sum, digit_product, digital_root, etc.), there's no indication of when this specific digit power sum calculation is appropriate versus other digit manipulation tools.

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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