Calculate Server

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A mathematical calculation service based on MCP protocol and SymPy library, providing powerful symbolic computation capabilities.

Security

As of version 0.1.1, the server parses expressions through a restricted SymPy-only evaluator. It does not execute arbitrary Python code, and only a curated set of mathematical symbols, functions, and matrix methods are supported.

This release also adds validation for oversized expressions and large results to reduce denial-of-service risk from expensive symbolic computations.

Key Features

• Basic Operations: Addition, subtraction, multiplication, division, exponentiation
• Algebraic Operations: Expression expansion, factorization, simplification
• Calculus: Differentiation, integration (definite/indefinite), limit calculation
• Equation Solving: Algebraic equations, systems of equations
• Matrix Operations: Matrix inversion, eigenvalues/eigenvectors calculation
• Series Expansion: Taylor series expansion
• Special Functions: Trigonometric, logarithmic, exponential functions

Usage Examples

# Basic operations
"2 + 3*5" → 17

# Algebraic operations
"expand((x + 1)**2)" → x² + 2x + 1
"factor(x**2 - 2*x - 15)" → (x - 5)(x + 3)

# Calculus
"diff(sin(x), x)" → cos(x)
"integrate(exp(x), (x, 0, 1))" → E - 1
"integrate(exp(-x**2)*sin(x), (x, -oo, oo))" → 0
"limit(tan(x)/x, x, 0)" → 1

# Equation solving
"solve(x**2 - 4, x)" → [-2, 2]
"solve([x**2 + y**2 - 1, x + y - 1], [x, y])" → [(0, 1), (1, 0)]

# Matrix operations
"Matrix([[1, 2], [3, 4]]).inv()" → [[-2, 1], [3/2, -1/2]]
"Matrix([[1, 2, 3], [4, 5, 6]]).eigenvals()" → {9/2 - sqrt(33)/2: 1, 9/2 + sqrt(33)/2: 1}
"Sum(k, (k, 1, 10)).doit()" → 55
"series(cos(x), x, 0, 4)" → 1 - x²/2 + O(x⁴)

Installation

Installing via Smithery

To install Calculate Server for Claude Desktop automatically via Smithery:

npx -y @smithery/cli install @611711Dark/mcp_sympy_calculate_server --client claude

Local Installation

1. Clone repository:

   git clone https://github.com/611711Dark/mcp_calculate_server.git
   cd mcp_calculate_server
   

2. Create virtual environment and install dependencies:

   uv venv
   source .venv/bin/activate
   uv pip install -e .
   

3. Configuration:

   "calculate_expression1": {
      "isActive": false,
      "command": "python",
      "args": [
        "server.py"
      ],
      "cwd": "/path/to/mcp_calculate_server"
    }
   

API Usage

Call calculate_expression tool via MCP protocol by passing a mathematical expression string. The parser accepts a restricted set of SymPy expressions such as arithmetic, expand, factor, simplify, diff, integrate, limit, series, solve, Matrix(...).det()/inv()/eigenvals()/eigenvects(), and Sum(...).doit().

Supported Names

• Symbols: lowercase variables such as x, y, z, and k
• Constants: pi, E, oo, I
• Functions: Abs, sin, cos, tan, log, exp, sqrt, expand, factor, simplify, diff, integrate, limit, series, solve, Sum, Matrix
• Matrix methods: .det(), .inv(), .eigenvals(), .eigenvects()
• SymPy method: .doit() on supported objects such as Sum(...)

Validation Rules

Expressions that rely on arbitrary Python features, imports, filesystem access, or other non-mathematical constructs are intentionally rejected. Very large expansions, high-complexity solves, and oversized results may also be rejected to reduce denial-of-service risk. Keyword arguments, private attributes, unsupported matrix methods, malformed matrices, and unsupported names are rejected with an error message.

Dependencies

• mcp>=1.5.0
• sympy>=1.13.3

Acknowledgements

Thanks to this blog post for the introduction, and to Stefano for his help and responsible disclosure.

License

This project is licensed under MIT License. See LICENSE file.

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