Offers a sandboxed execution environment for running Python code, performing syntax checks, and analyzing code structure via AST inspection to support iterative programming and statistical analysis.
Provides a deterministic symbolic computation backend for mathematical operations including algebra, calculus, and linear algebra, enabling precise solving, differentiation, integration, and matrix manipulations.
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In the chat, type
@followed by the MCP server name and your instructions, e.g., "@ReasonForgecalculate the definite integral of x * sin(x) from 0 to pi"
That's it! The server will respond to your query, and you can continue using it as needed.
Here is a step-by-step guide with screenshots.
ReasonForge
Deterministic math tools for small language models.
ReasonForge gives small LLMs (8B–32B) access to a verified SymPy computation backend via tool calling. Instead of relying on the model to compute, all math is delegated to deterministic tools — the model only reasons about what to compute and how to present results.
Architecture
User Question → LLM (Qwen3) → Tool Calls → SymPy Backend → Verified Results → LLM → Final AnswerMulti-Turn Agentic Loop:
Reason: The model uses
<think>tags to analyze the problem and decide on a strategy.Execute: The model delegates computation to a deterministic tool (SymPy or Python sandbox).
Iterate: The model observes the verified tool output and either concludes the answer or calls another tool until solved (up to
MAX_ROUNDS).
Tools
Tool | Operations | Backend |
| compute, solve, simplify, factor, expand, gcd, lcm, prime_factors, divisors, mod_inverse, nsolve, crt + SymPy builtins (totient, fibonacci, isprime...) | SymPy |
| differentiate, integrate, limit, series, summation, partial_fraction, trigsimp, ode_solve, laplace | SymPy |
| determinant, inverse, eigenvalues, eigenvectors, rank, rref, transpose, multiply, add, trace, nullspace, columnspace, charpoly, norm, adjugate, solve (Ax=b) | SymPy |
| describe, mean, median, mode, std, variance, correlation, regression, percentile, zscore, skewness, kurtosis, geometric_mean, harmonic_mean | Python stdlib |
| run, check, ast_inspect — sandboxed Python code execution, syntax checking, and structure analysis | subprocess |
Project Structure
MCP/
├── core.py # Shared LLM request logic, expert definitions, tool schemas
├── experts/
│ ├── math/
│ │ ├── server.py # MCP server entry point (math tools)
│ │ └── tools/
│ │ ├── preprocess.py # Expression parser (^ → **, implicit multiplication)
│ │ ├── algebra.py # algebra + number theory
│ │ ├── calculus.py # derivatives, integrals, ODEs
│ │ ├── matrix.py # linear algebra
│ │ └── statistics.py # descriptive & inferential stats
│ └── code/
│ ├── server.py # MCP server entry point (code execution)
│ └── tools/
│ └── code.py # Sandboxed Python runner & syntax checker
├── tests/
│ ├── sanity.py # Tool unit tests (16 checks)
│ ├── math_benchmark.py # A/B math benchmark (MATH-500 dataset)
│ ├── code_benchmark.py # A/B code benchmark (HumanEval)
│ └── results/ # Local benchmark outputs
├── ui/
│ ├── app.py # Gradio chat interface with intermediate thinking steps
│ └── style.css # Custom UI styles (dark mode, thinking blocks)
├── ReasonForge_Colab.ipynb # One-click Colab deployment notebook
├── pyproject.toml
├── requirements.txt
├── run_tests.bat # Local tests launcher (Windows)
└── run_ui.bat # Local UI launcher (Windows)Quick Start (Local)
# Requires: Ollama running with a supported model (qwen3:8b, qwen3:32b, etc.)
uv sync
uv run python -m ui.app
# Open at http://localhost:7861Colab Deployment (GPU)
Open ReasonForge_Colab.ipynb in Google Colab Pro with an A100 GPU.
It clones this repo, installs Ollama + qwen3:32b, and launches the UI with a public Gradio link.
Benchmarking
# Math benchmark — MATH-500 (requires Ollama running)
uv run python -m tests.math_benchmark --model llama3.2:3b --n 10
uv run python -m tests.math_benchmark --model qwen3:32b --n 50 --think
# Code benchmark — HumanEval (requires Ollama running)
uv run python -m tests.code_benchmark --model qwen3:8b --n 20
uv run python -m tests.code_benchmark --model qwen3:32b --n 164 --thinkRunning Sanity Tests
uv run python -m tests.sanityBenchmark Results
MATH-500 (qwen3:8b, 50 problems)
Metric | Baseline | ReasonForge |
Correct | 43/50 | 45/50 |
Uniform Accuracy | 86.0% | 90.0% (▲ +4.0%) |
Weighted Score | 144/176 | 154/176 |
Weighted Accuracy | 81.8% | 87.5% (▲ +5.7%) |
Delegation: 40.0% (20/50) of tasks used tools
Avg Rounds: 1.5
Avg Time: Baseline 46.3s vs ReasonForge 31.0s (Δ -15.2s)
By Difficulty
Level 1 5/5 100% ████████████████████
Level 2 7/7 100% ████████████████████
Level 3 8/9 89% █████████████████
Level 4 14/15 93% ██████████████████
Level 5 11/14 79% ███████████████ (+14%)By Category
Algebra 10/12 83% ████████████████
Counting & Probability 4/4 100% ████████████████████
Geometry 4/4 100% ████████████████████
Intermediate Algebra 11/13 85% ████████████████ (+8%)
Number Theory 2/2 100% ████████████████████
Prealgebra 7/7 100% ████████████████████
Precalculus 7/8 88% █████████████████ (+12%)HumanEval (Code: qwen3:8b, 160 problems)
Metric | Baseline | ReasonForge |
Pass@1 | 4/160 | 102/160 |
Accuracy | 2.5% | 63.7% (▲ +61.2%) |
Delegation: 31.2% (50/160) of tasks used tools
Avg Rounds: 1.5
Avg Time: Baseline 23.9s vs ReasonForge 24.8s (Δ +0.9s)
Wins vs Losses: ReasonForge successfully solved 100 problems that the Baseline failed on, while only losing 2.
Key Takeaways
Testing the 8-billion parameter qwen3 model reveals exactly why deterministic tool-delegation is crucial for smaller models:
Math (MATH-500): While both models achieved incredibly high baseline accuracy, giving the model access to the SymPy backend massively reduced latency (cutting the average computation time from
46.3sdown to31.0s), all while squeezing out an extra~5%in weighted grading accuracy.Code (HumanEval): Without sandboxed execution tools, the 8B model almost entirely collapsed on HumanEval, only passing a dismal
4/160(2.5%) of the problems. However, the simple addition of the ReasonForge Python runtime tools allowed the exact same model to safely hypothesize, test, and iteratably structure its code, propelling its accuracy to 102/160 (63.7%)—a gigantic +61.2% improvement with zero fine-tuning required.
Tech Stack
LLM Backend: Ollama (local) or any OpenAI-compatible API
Math Engine: SymPy — symbolic computation
Math Grading: math-verify — deterministic LaTeX parser (Linux/Colab)
Code Grading: Self-contained HumanEval harness (inspired by openai/human-eval)
UI: Gradio — chat interface with LaTeX rendering
Protocol: MCP (Model Context Protocol) compatible
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