Agent Skills

calculator-mcp-server

Math evaluation, simplification, derivatives

Install

Install and configure the MCP from https://github.com/cyanheads/calculator-mcp-server now. Follow the repository's installation instructions, ask me for anything you can't complete yourself, and verify its tools load.
README

@cyanheads/calculator-mcp-server

Evaluate, simplify, and differentiate mathematical expressions via MCP. STDIO or Streamable HTTP.

1 Tool • 1 Resource


Overview

Calculator powered by math.js. Verify numeric results, simplify algebraic expressions, and compute symbolic derivatives through one tool. Runs as a stdio process, a local Streamable HTTP server, or the public hosted endpoint above.

Tools

ToolDescription
calculateEvaluate math expressions, simplify algebraic expressions, or compute symbolic derivatives.

Resources

ResourceDescription
calculator://helpAvailable functions, operators, constants, and syntax reference.

Capability reference

calculate tool

  • One expression per call. operation selects evaluate (default), simplify, or derivative; derivatives require variable (e.g. "x").
  • Evaluate arithmetic, trigonometry, logarithms, statistics, matrices, complex numbers, units, and combinatorics; assign numeric variables through scope, e.g. { "x": 5 }.
  • numericType selects number, BigNumber (64 significant digits, for values that overflow a 64-bit float), or Fraction (exact rationals). Fraction mode returns fraction_unsupported, with guidance to change numeric type, when a result has no exact rational value (sqrt(2)), the expression calls a function Fraction mode cannot compute (sqrt(4), 5!), or it uses a value Fraction mode holds only as a rounded float (pi, 2^(1/2)).
  • precision sets 1–16 significant digits for numeric results. Blank optional variable and precision values are treated as omitted; scope and precision do not affect symbolic operations.
  • Simplification includes algebraic and trigonometric identities (2x + 3x → 5 * x); unchanged: true identifies expressions the simplifier cannot reduce, including polynomial factoring and rational cancellation cases.
  • Returns the result string, result type, original expression, and operation. Validation failures include typed reasons and recovery hints.

calculator://help resource

  • Markdown reference for functions, operators, constants, units, and expression syntax; no parameters.
  • Examples cover scope, matrices, complex numbers, precision, and all three operations.
  • Cacheable for 24 hours with public scope (cacheHint) — static content that never changes at runtime.

Features

Built on @cyanheads/mcp-ts-core: stdio and Streamable HTTP transports, pluggable auth (none / jwt / oauth), swappable storage (in-memory, filesystem, Supabase, Cloudflare KV/R2/D1), structured logging with optional OpenTelemetry tracing.

Calculator-specific:

  • Hardened math.js v15 instance — dangerous functions disabled, evaluation run under a vm timeout
  • No auth required — all operations are read-only and stateless
  • Input validation: expression length limits and rejection of multiple statements; matrix row separators and string contents remain valid
  • Result validation: blocked result types (functions, parsers, result sets), configurable max result size
  • Size limits: functions that build a matrix or string from a size, product, broadcast, index, or precision argument are capped per call, and each evaluation has a total element budget; oversized requests fail fast with result_too_large
  • Scope sanitization: numeric-only values, prototype pollution prevention (blocked __proto__, constructor, etc.)

Agent-friendly output:

  • Effective-call echo — every response echoes the expression and operation, plus which scope variables and what precision were applied, so agents can verify what was actually computed
  • Discriminated output contracts — unchanged: true on simplify flags a no-op result instead of silently returning the same expression
  • Typed error reasons — validation and evaluation failures carry a typed reason (e.g. fraction_unsupported, evaluation_timeout, disallowed_result_type) plus an actionable recovery hint, rather than a raw exception

Getting started

Public Hosted Instance

A public instance is available at https://calculator.caseyjhand.com/mcp — no installation required. Point any MCP client at it via Streamable HTTP:

{
  "mcpServers": {
    "calculator-mcp-server": {
      "type": "streamable-http",
      "url": "https://calculator.caseyjhand.com/mcp"
    }
  }
}

Self-Hosted / Local

Add one of the following to your MCP client configuration file:

{
  "mcpServers": {
    "calculator-mcp-server": {
      "type": "stdio",
      "command": "bunx",
      "args": ["@cyanheads/calculator-mcp-server@latest"],
      "env": {
        "MCP_TRANSPORT_TYPE": "stdio",
        "MCP_LOG_LEVEL": "info"
      }
    }
  }
}

Or with npx (no Bun required):

{
  "mcpServers": {
    "calculator-mcp-server": {
      "type": "stdio",
      "command": "npx",
      "args": ["-y", "@cyanheads/calculator-mcp-server@latest"],
      "env": {
        "MCP_TRANSPORT_TYPE": "stdio",
        "MCP_LOG_LEVEL": "info"
      }
    }
  }
}

Or with Docker:

{
  "mcpServers": {
    "calculator-mcp-server": {
      "type": "stdio",
      "command": "docker",
      "args": [
        "run", "-i", "--rm",
        "-e", "MCP_TRANSPORT_TYPE=stdio",
        "ghcr.io/cyanheads/calculator-mcp-server:latest"
      ]
    }
  }
}

For Streamable HTTP, set the transport and start the built server:

MCP_HTTP_PORT=3010 bun run start:http
# Server listens at http://localhost:3010/mcp

Prerequisites

Installation

  1. Clone the repository:
git clone https://github.com/cyanheads/calculator-mcp-server.git
  1. Navigate into the directory:
cd calculator-mcp-server
  1. Install dependencies:
bun install

Configuration

VariableDescriptionDefault
CALC_MAX_EXPRESSION_LENGTHMaximum allowed expression string length (10–10,000).1000
CALC_EVALUATION_TIMEOUT_MSMaximum evaluation time in milliseconds (100–30,000).5000
CALC_MAX_RESULT_LENGTHMaximum result string length in characters (1,000–1,000,000).100000
MCP_TRANSPORT_TYPETransport: stdio or http.stdio
MCP_HTTP_HOSTHostname for the HTTP server.127.0.0.1
MCP_HTTP_PORTPort for HTTP server.3010
MCP_HTTP_ENDPOINT_PATHPath for the HTTP MCP endpoint./mcp
MCP_HTTP_MAX_BODY_BYTESMaximum inbound HTTP request size; 0 disables the limit.1048576
MCP_AUTH_MODEAuth mode: none, jwt, or oauth.none
MCP_SESSION_MODEauto, stateful, or stateless. The server declares stateless in code, so every launch path resolves the same way; setting this overrides that declaration.stateless
MCP_LOG_LEVELLog level (RFC 5424).info

See .env.example for optional session, resumability, logging, and telemetry settings.

Running the server

Local development

  • Build and run the production version:

    bun run build
    bun run start:http   # or start:stdio
    
  • Run checks and tests:

    bun run devcheck     # Lints, formats, type-checks
    bun run test         # Runs test suite
    

Docker

docker build -t calculator-mcp-server .
docker run -p 3010:3010 calculator-mcp-server

The image defaults to Streamable HTTP on port 3010, stateless sessions, and logs at /var/log/calculator-mcp-server. OpenTelemetry dependencies are installed by default; build with --build-arg OTEL_ENABLED=false to omit them.

Project structure

DirectoryPurpose
src/mcp-server/tools/Tool definitions (*.tool.ts).
src/mcp-server/resources/Resource definitions (*.resource.ts).
src/services/Domain service integrations (MathService).
src/config/Environment variable parsing and validation with Zod.
docs/Generated directory tree.
tests/Calculation, configuration, and response-contract tests.

Development guide

See AGENTS.md or CLAUDE.md for development guidelines and architectural rules. The short version:

  • Handlers throw, framework catches — no try/catch in tool logic
  • Use ctx.log for logging
  • Register new tools and resources in src/index.ts

Contributing

Issues are welcome. Run checks before submitting:

bun run devcheck
bun run test

License

Apache-2.0 — see LICENSE for details.

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