
USolver
A best-effort universal logic and numerical solver interface using MCP that implements the 'LLM sandwich' model to process queries, call dedicated solvers (ortools, cvxpy, z3), and verbalize results.
README
<p align="center"> <img src=".github/logo.png" width="500px" alt="usolver"> </p>
USolver
A best-effort universal logic and numerical solver interface using MCP. Implements the "LLM sandwich" model where a query is interpreted by the LLM, calls out to a dedicated efficient solver fit for the problem, and then verbalizes the result. And the solver solutions can be chained together to solve more complex problems that require multi-step approaches.
Exposes minimal solvers for the following software packages:
ortools
- Combinatorial optimization solvercvxpy
- Convex optimization solverz3
- SMT solver over booleans, integers, reals, and strings
To install run the install.py
script. This will install the MPC server for Claude Desktop and/or Cursor.
uv run install.py
Examples
To run the individual solver examples. You can invoke the individual examples. Below are example prompts that you can feed to the language model for these specific problems.
uv run examples/example_z3.py
uv run examples/example_cvxpy.py
uv run examples/example_ortools.py
uv run examples/example_z3_simple.py
Z3
A chemical engineering example:
Use usolver to design a water transport pipeline with the following requirements:
* Volumetric flow rate: 0.05 m³/s
* Pipe length: 100 m
* Water density: 1000 kg/m³
* Maximum allowable pressure drop: 50 kPa
* Flow continuity: Q = π(D/2)² × v
* Pressure drop: ΔP = f(L/D)(ρv²/2), where f ≈ 0.02 for turbulent flow
* Practical limits: 0.05 ≤ D ≤ 0.5 m, 0.5 ≤ v ≤ 8 m/s
* Pressure constraint: ΔP ≤ 50,000 Pa
* Find: optimal pipe diameter and flow velocity
CVXPY
A simple convex optimization problem minimizing the 2-norm of a linear system:
Use usolver to solve the following convex optimization problem:
Minimize: ||Ax - b||₂²
Subject to: 0 ≤ x ≤ 1
where
A = [1.0, -0.5; 0.5, 2.0; 0.0, 1.0]
b = [2.0, 1.0, -1.0]
OR-Tools
A classic worker shift scheduling problem:
Use usolver to solve a nurse scheduling problem with the following requirements:
* Schedule 4 nurses (Alice, Bob, Charlie, Diana) across 3 shifts over (Monday, Tuesday, Wednesday)
* Shifts: Morning (7AM-3PM), Evening (3PM-11PM), Night (11PM-7AM)
* Each shift must be assigned to exactly one nurse each day
* Each nurse works at most one shift per day
* Distribute shifts evenly (2-3 shifts per nurse over the period)
* Charlie can't work on Tuesday.
Chained Examples
A chained example that uses both OR-Tools to optimize for table layout and CVXPY to optimize for staff scheduling.
Use usolver to optimize a restaurant's layout and staffing with the following requirements in two parts. Use combinatorial optimization to optimize for table layout and convex optimization to optimize for staff scheduling.
* Part 1: Optimize table layout
- Mix of 2-seater, 4-seater, and 6-seater tables
- Maximum floor space: 150 m²
- Space requirements: 4m² (2-seater), 6m² (4-seater), 9m² (6-seater)
- Maximum 20 tables total
- Minimum mix: 2× 2-seaters, 3× 4-seaters, 1× 6-seater
- Objective: Maximize total seating capacity
* Part 2: Optimize staff scheduling using Part 1's capacity
- 12-hour operating day
- Each staff member can handle 20 seats
- Minimum 2 staff per hour
- Maximum staff change between hours: 2 people
- Variable demand: 40%-100% of capacity
- Objective: Minimize labor cost ($25/hour per staff)
Recommended Servers
playwright-mcp
A Model Context Protocol server that enables LLMs to interact with web pages through structured accessibility snapshots without requiring vision models or screenshots.
Magic Component Platform (MCP)
An AI-powered tool that generates modern UI components from natural language descriptions, integrating with popular IDEs to streamline UI development workflow.
Audiense Insights MCP Server
Enables interaction with Audiense Insights accounts via the Model Context Protocol, facilitating the extraction and analysis of marketing insights and audience data including demographics, behavior, and influencer engagement.

VeyraX MCP
Single MCP tool to connect all your favorite tools: Gmail, Calendar and 40 more.
graphlit-mcp-server
The Model Context Protocol (MCP) Server enables integration between MCP clients and the Graphlit service. Ingest anything from Slack to Gmail to podcast feeds, in addition to web crawling, into a Graphlit project - and then retrieve relevant contents from the MCP client.
Kagi MCP Server
An MCP server that integrates Kagi search capabilities with Claude AI, enabling Claude to perform real-time web searches when answering questions that require up-to-date information.

E2B
Using MCP to run code via e2b.
Neon Database
MCP server for interacting with Neon Management API and databases
Exa Search
A Model Context Protocol (MCP) server lets AI assistants like Claude use the Exa AI Search API for web searches. This setup allows AI models to get real-time web information in a safe and controlled way.
Qdrant Server
This repository is an example of how to create a MCP server for Qdrant, a vector search engine.