AI Agent Protocols MCP Spec: 2024-11-05 JSON-RPC 2.0 Zero Hallucination

OmniOperand Model Context Protocol (MCP) Server

LLMs consistently hallucinate multi-step algebraic inversions, compounding interest, and irrational polygon radicals. OmniOperand's official MCP server equips Claude Desktop, Cursor, Windsurf, and autonomous AI agents with deterministic, machine-precision mathematical calculation tools.

Quickstart Setup Guide ↓ Live MCP Endpoint (JSON) Tool Schemas (JSON)

🎯 Ground Truth

Zero Arithmetic Drift

Replaces probabilistic token prediction with closed-form algebraic inversions, exact radical constants (√2, √3, π, ϕ), and verified loan cashflow formulas.

⚡ Sub-Millisecond

Dual Transport Architecture

Use standard stdio transport locally via npx or connect remotely to our global Cloudflare Pages V8 edge endpoint over HTTP JSON-RPC 2.0.

🧠 Prompt Directives

Embedded System Rubrics

Each tool includes strict LLM trigger directives and verification checks to instruct the model when and how to call deterministic solvers.

🚀 1-Click Client Configuration

Add OmniOperand to your favorite AI agent client to immediately enable mathematical ground truth.

Add to your claude_desktop_config.json:

{
  "mcpServers": {
    "omnioperand": {
      "command": "npx",
      "args": ["-y", "omnioperand-mcp@latest"]
    }
  }
}

Add to your project's .cursor/mcp.json:

{
  "mcpServers": {
    "omnioperand": {
      "command": "npx",
      "args": ["-y", "omnioperand-mcp@latest"]
    }
  }
}

Direct HTTP JSON-RPC 2.0 endpoint for web agents and LangChain / LlamaIndex tools:

POST https://omnioperand.com/api/v1/mcp
Content-Type: application/json

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "omni_mortgage_solver",
    "arguments": {
      "principal": 400000,
      "annual_rate": 6.5,
      "term_years": 30
    }
  }
}

🛠️ Active Deterministic Tools (441 Solvers across 15 Disciplines)

Domain Discipline Breakdown

All 428 programmatic solvers are accessible via tools/list and tools/call.

Full Schemas (428 Tools JSON) →

Finance132 Solvers Ecommerce30 Solvers Construction28 Solvers Health27 Solvers Engineering26 Solvers Biotech26 Solvers Energy25 Solvers Logistics25 Solvers Crypto25 Solvers Legal25 Solvers Agriculture25 Solvers Physics23 Solvers Geometry18 Solvers Statistics4 Solvers Calculus2 Solvers

Featured Foundation Solvers (Radicals & Analytical Geometry)

omni_octagon_solver

Exact 8-variable regular octagon solver with radical closed-form geometry and bidirectional inversion across all parameters.

omni_regular_polygon_solver

Universal regular n-sided polygon solver for any arbitrary n (3 to 1000). Resolves apothem, circumradius, area, and internal angles.

omni_mortgage_solver

Exact mortgage amortization, monthly P&I, total interest, and early payoff acceleration simulation.

omni_compound_interest_solver

Multi-period compound interest growth, effective APY, and recurring contribution modeling.

omni_cagr_solver

Compound Annual Growth Rate (CAGR) and annualized investment performance metric engine.

omni_auto_loan_solver

Automotive loan amortization with sales tax, down payment, trade-in equity, and dealership fees.

omni_concrete_volume_solver

Structural concrete slab and footing cubic yardage with commercial 60lb/80lb pre-mix bag yields.

omni_roof_pitch_solver

Roof slope ratio, rise/run pitch angle in degrees, and rafter hypotenuse length calculator.

omni_circle_sector_solver

Circular sector area, arc length, chord length, and sagitta with bidirectional radius inversions.

omni_right_triangle_solver

Pythagorean right triangle solver with inradius, circumradius, and altitude derivations.

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