math-router

by @namesreallyblank in Tools

# Install this skill:

npx skills add namesreallyblank/Clorch --skill "math-router"

Install specific skill from multi-skill repository

# Description

Deterministic router for math cognitive stack - maps user intent to exact CLI commands

# SKILL.md

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

# Route any math intent to get the CLI command
uv run python scripts/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/math_router.py route "integrate sin(x) from 0 to pi"
Router returns:
json { "command": "uv run python scripts/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/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.