math-router

SKILL.md

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

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

Example Workflow

User says: "integrate sin(x) from 0 to pi"

You run: uv run python scripts/cc_math/math_router.py route "integrate sin(x) from 0 to pi"

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

You execute the returned command

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

Category
Commands

sympy
integrate, diff, solve, simplify, limit, det, eigenvalues, inv, expand, factor, series, laplace, fourier

pint
convert, check

shapely
create, measure, pred, op

z3
prove, sat, optimize

scratchpad
verify, explain

tutor
hint, steps, generate

plot
plot2d, plot3d, latex

List All Commands

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

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

Fallback

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

Ask user to clarify

Or use individual skills: /sympy-compute, /z3-solve, /pint-compute, etc.