---

name: math-router description: Deterministic router for math cognitive stack - maps user intent to exact CLI commands triggers: ["math", "calculate", "compute", "solve", "integrate", "derivative", "plot", "convert", "prove"] priority: high user-invocable: false

Math Router

ALWAYS use this router first for math requests.

Instead of reading individual skill documentation, call the router to get the exact command:

Usage

Copy# Route any math intent to get the CLI command
uv run python scripts/math_router.py route "<user's math request>"

Example Workflow

1. User says: "integrate sin(x) from 0 to pi"
2. You run: uv run python scripts/math_router.py route "integrate sin(x) from 0 to pi"
3. Router returns:

   Copy{
     "command": "uv run python scripts/sympy_compute.py integrate \"sin(x)\" --var x --lower 0 --upper pi",
     "confidence": 0.95
   }
   

4. You execute the returned command
5. Return result to user

Why Use The Router

• Faster: No need to read skill docs
• Deterministic: Pattern-based, not LLM inference
• Accurate: Extracts arguments correctly
• Complete: Covers 32 routes across 7 scripts

Available Routes

List All Commands

Copy# List all available routes
uv run python scripts/math_router.py list

# List routes by category
uv run python scripts/math_router.py list --category sympy

Fallback

If the router returns {"command": null}, the intent wasn't recognized. Then:

1. Ask user to clarify
2. Or use individual skills: /sympy-compute, /z3-solve, /pint-compute, etc.