ScorpTech x402 Tools

Carol

carol

Read-onlyIdempotent

The nth Carol number, (2^n - 1)^2 - 2. n=1 gives -1, n=2 gives 7, and n=3 gives 47. n runs from 1 to 128. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carol

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "carol"
  }
}

Input Schema

Name	Required	Description	Default
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A3.6/5.0

Behavior4/5

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

Annotations already cover safety and idempotency, but the description adds important behavioral context: the value becomes a decimal string past 15 digits, the cost is $0.001 USDC per successful call via x402 on Solana, and an HTTPS alternative is provided. It does not specify error or payment-failure behavior, so not a 5.

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 dense but front-loaded with the defining formula and examples. Payment and endpoint details are appended efficiently, though the single-sentence structure could be slightly more scannable.

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

Completeness4/5

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

For a pure computation tool with no output schema, the description gives the formula, domain, output-format behavior, cost model, and transport alternative. It stops short of describing error handling for invalid inputs, but the schema enforces the range.

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

Parameters4/5

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

Schema description coverage is 0%, but the description compensates well by defining n, its allowed range (1–128), and concrete examples for n=1,2,3. The only small gap is that it doesn't explain the return type transition for small n beyond the digit threshold.

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

Purpose4/5

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

The description states the exact mathematical formula and gives sample outputs, making the resource precise. It does not explicitly contrast with structurally similar siblings like kynea, but the formula itself disambiguates the sequence.

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?

There is no guidance on when to use this tool versus alternatives, nor any stated preconditions or exclusions. The input range is given, but that is a constraint rather than usage guidance.

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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