LFM2-350M-Math

Image: Liquid AI

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LFM2-350M-Math#

Based on LFM2-350M, LFM2-350M-Math is a tiny reasoning model designed for tackling tricky math problems.

You can find more information about other task-specific models in this blog post.

📄 Model details#

Generation parameters: We strongly recommend using greedy decoding with a temperature=0.6, top_p=0.95, min_p=0.1, repetition_penalty=1.05.

System prompt: We recommend not using any system prompt.

Supported languages: English only.

Chat template: LFM2 uses a ChatML-like chat template as follows:

<|startoftext|><|im_start|>user
Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.<|im_end|>
<|im_start|>assistant
<|cot_start|>First, we need to convert $17_{b}$ and $97_{b}$ into base 10. [...]<|im_end|>

You can automatically apply it using the dedicated .apply_chat_template() function from Hugging Face transformers.

Warning. ⚠️ The model is intended for single-turn conversations.

📈 Performance#

Reasoning enables models to better structure their thought process, explore multiple solution strategies, and self-verify their final responses. Augmenting tiny models with extensive test-time compute in this way allows them to even solve challenging competition-level math problems. Our benchmark evaluations demonstrate that LFM2-350M-Math is highly capable for its size.

Image: 68d41660ccb9b4bb78d0ad93_Response Accuracy - dark mode

As we are excited about edge deployment, our goal is to limit memory consumption and latency. Our post-training recipe leverages reinforcement learning to explicitly bring down response verbosity where it is not desirable. To this end, we combine explicit reasoning budgets with difficulty-aware advantage re-weighting. Please refer to our separate blog post for a detailed post-training recipe.

Image: 68d4166ef8b3f7322f15c8cb_Response Length - dark mode

🏃 How to run#

• Hugging Face: LFM2-350M
• llama.cpp: LFM2-350M-Math-GGUF
• LEAP: LEAP model library

You can use the following Colab notebooks for easy inference and fine-tuning:

📬 Contact#

• Got questions or want to connect? Join our Discord community
• If you are interested in custom solutions with edge deployment, please contact our sales team.

Citation#

@article{liquidai2025lfm2,
 title={LFM2 Technical Report},
 author={Liquid AI},
 journal={arXiv preprint arXiv:2511.23404},
 year={2025}
}