OpenCodePapers

math-word-problem-solving-on-math

Mathematical ReasoningMath Word Problem Solving
Dataset Link
Results over time
Click legend items to toggle metrics. Hover points for model names.
Leaderboard
PaperCodeAccuracyParameters (Billions)ModelNameReleaseDate
LLaDA2.0: Scaling Up Diffusion Language Models to 100B✓ Link95.44LLaDA2.0-flash2025-12-10
Heterogeneous Agent Collaborative Reinforcement Learning94.3Qwen3-4B-Instruct (HACPO)2026-03-03
Self-Distillation Zero: Self-Revision Turns Binary Rewards into Dense Supervision✓ Link94.0SD-Zero (Olmo-3-7B-Instruct)2026-04-13
Ministral 390.4Ministral 3 (14B, Instruct)2026-01-13
89.7Gemini 2.0 Flash Experimental
Gemma 3 Technical Report✓ Link89.0Gemma 3 (27B, IT) (4-shot)2025-03-25
Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement88.172Qwen2.5-Math-72B-Instruct(TIR,Greedy)2024-09-18
MACM: Utilizing a Multi-Agent System for Condition Mining in Solving Complex Mathematical Problems✓ Link87.920GPT-4 Turbo (MACM, w/code, voting)2024-04-06
You Only Need Minimal RLVR Training: Extrapolating LLMs via Rank-1 Trajectories✓ Link87.4RELEX (Qwen3-8B-Base)2026-05-20
Value-Aware Stochastic KV Cache Eviction for Reasoning Models✓ Link86.47VaSE-DKV (Qwen3-14B)2026-06-02
Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement85.972Qwen2.5-Math-72B-Instruct(COT,Greedy)2024-09-18
On the Step Length Confounding in LLM Reasoning Data Selection✓ Link85.4Qwen3-8B-Base (Aslec-casl)2026-04-08
Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement85.27Qwen2.5-Math-7B-Instruct(TIR,Greedy)2024-09-18
dots.llm1 Technical Report✓ Link85.0dots.llm1.inst2025-06-06
Value-Aware Stochastic KV Cache Eviction for Reasoning Models✓ Link84.72VaSE-DKV (Qwen3-4B)2026-06-02
SAGE: Mitigating Long-Horizon Reasoning Biases via Topological Guidance✓ Link84.72Qwen3.5-35B w/SAGE2026-09-24
Qwen2.5 Technical Report✓ Link84.7Qwen2.5-Plus2024-12-19
STRIDE: Learnable Stepwise Language Feedback for LLM Reasoning84.6STRIDE-Qwen-7B2026-05-13
Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification✓ Link84.3GPT-4-code model (CSV, w/ code, SC, k=16)2023-08-15
Qwen2 Technical Report✓ Link84.072Qwen2-Math-72B-Instruct(greedy)2024-07-15
From Next-Token to Next-Block: A Principled Adaptation Path for Diffusion LLMs✓ Link84.0NBDiff-7B (Instruct)2025-12-07
Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement83.67Qwen2.5-Math-7B-Instruct(COT,Greedy)2024-09-18
Qwen2.5-VL Technical Report✓ Link83.0Qwen2.5-VL-72B2025-02-19
DARC: Decoupled Asymmetric Reasoning Curriculum for LLM Evolution✓ Link83.0DARC (Qwen3-8B-Base)2026-01-20
Nemotron 3 Nano: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoning✓ Link82.88Nemotron 3 Nano 30B-A3B Base2025-12-23
Beyond Policy Rollouts: Embedding-Space Directional Exploration with Anchored Noise for LLM RLVR81.8EDEN (Qwen2.5-Math-7B)2026-10-12
LLaDA MoE v2: Scaling Mixture-of-Experts Diffusion Language Models80.02LLaDA MoE v2 Instruct2026-08-04
Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement79.91.5Qwen2.5-Math-1.5B-Instruct(TIR,Greedy)2024-09-18
OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data✓ Link79.6OpenMath2-Llama3.1-70B (majority@256)2024-10-02
InternVL3: Exploring Advanced Training and Test-Time Recipes for Open-Source Multimodal Models✓ Link78.9InternVL3-78B2025-04-14
Questioning the Questions: Sustaining Self-Evolution in Reasoning Models✓ Link77.6R-Quest (Qwen3-4B-Base)2026-10-03
MiniMax-01: Scaling Foundation Models with Lightning Attention✓ Link77.4MiniMax-Text-012025-01-14
Hello GPT-4o76.6GPT-4o2024-05-13
OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data✓ Link76.1OpenMath2-Llama3.1-8B (majority@256)2024-10-02
Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement75.81.5Qwen2.5-Math-1.5B-Instruct(COT,Greedy)2024-09-18
ERNIE 5.0 Technical Report73.89ERNIE 5.0-Base2026-02-04
Introducing Llama 3.1: Our most capable models to date✓ Link73.8Llama 3.1 (405B, Instruct)2024-07-23
Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification✓ Link73.5GPT-4-code model (CSV, w/ code)2023-08-15
On the Design of Qwen3.8-Next Architecture: Evaluation, Efficiency, and Training Stability✓ Link72.78Qwen3.8-Flash-Next-Base2026-08-31
Cumulative Reasoning with Large Language Models✓ Link72.2CR (GPT-4-turbo model, w/ code)2023-08-08
OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data✓ Link71.9OpenMath2-Llama3.1-70B2024-10-02
Qwen3 Technical Report✓ Link71.84Qwen3-235B-A22B (Base)2025-05-14
Qwen2.5-Omni Technical Report✓ Link71.5Qwen2.5-Omni-7B2025-03-26
Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification✓ Link71.2LogicNet (with code interpreter)2023-08-15
Introducing Claude 3.5 Sonnet71.1Claude 3.5 Sonnet2024-06-20
MiMo-V2-Flash Technical Report✓ Link71.0MiMo-V2-Flash (Base)2026-01-06
Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMs✓ Link70.8Qwen2-72B-Instruct-Step-DPO (0-shot CoT, w/o code)2024-06-26
Motif 3: Technical Report✓ Link70.58Motif 3 Base (4-shot CoT)2026-08-10
STRIDE: Learnable Stepwise Language Feedback for LLM Reasoning70.4STRIDE-Llama-8B2026-05-13
GPT-4o mini: advancing cost-efficient intelligence✓ Link70.2GPT-4o mini2024-07-18
Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification✓ Link69.7GPT-4-code model (w/ code)2023-08-15
Introducing Llama 3.1: Our most capable models to date✓ Link68.0Llama 3.1 (70B, Instruct)2024-07-23
Llama 3.2: Revolutionizing edge AI and vision with open, customizable models✓ Link68.0Llama 3.2 90B Vision Instruct2024-09-25
OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data✓ Link67.8OpenMath2-Llama3.1-8B2024-10-02
Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context✓ Link67.7Gemini 1.5 Pro (4-shot)2024-03-08
LongCat-Flash-Omni Technical Report✓ Link66.8LongCat-Flash-Omni (Base)2025-10-31
Step 3.5 Flash: Open Frontier-Level Intelligence with 11B Active Parameters✓ Link66.8Step-3.5-Flash Base2026-02-11
AlphaMath Almost Zero: Process Supervision without Process✓ Link66.3AlphaMath-7B-SBS@32024-05-06
Solving Quantitative Reasoning Problems with Language Models✓ Link64.962Minerva 62B (maj5@256)2022-06-29
64.57DAMOMath-7B
Phi-4-Mini Technical Report: Compact yet Powerful Multimodal Language Models via Mixture-of-LoRAs✓ Link64.0Phi-4-Mini (0-shot, CoT)2025-02-24
An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning✓ Link63.77MMOS-DeepSeekMath-7B(0-shot,k=50)2024-02-23
daVinci-LLM:Towards the Science of Pretraining✓ Link62.8daVinci-LLM-3B2026-03-28
Every Token Counts: Generalizing 16M Ultra-Long Context in Large Language Models✓ Link61.56HSA-UltraLong-Inst2025-11-28
ChatGLM: A Family of Large Language Models from GLM-130B to GLM-4 All Tools✓ Link61.3GLM-4 (0520)2024-06-18
Can Large Models Teach Student Models to Solve Mathematical Problems Like Human Beings? A Reasoning Distillation Method via Multi-LoRA Interaction✓ Link61.2LoRID (Qwen2.5-Math)2025-08-18
DeepSeek-V4.1-Flash: Pushing the Limits of KV Cache Compression✓ Link61.1DeepSeek-V4.1-Flash Base2026-09-17
Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification✓ Link60.8GPT-4-code model (w/o code)2023-08-15
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link60.470OpenMath-CodeLlama-70B (w/ code, SC, k=50)2024-02-15
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link60.234OpenMath-CodeLlama-34B (w/ code, SC, k=50)2024-02-15
Introducing the next generation of Claude60.1Claude 3 Opus2024-03-04
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link60.034ToRA-Code 34B model (w/ code, SC, k=50)2023-09-29
Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phone✓ Link59.5Phi-3.5-MoE2024-04-22
Nemotron-H: A Family of Accurate and Efficient Hybrid Mamba-Transformer Models✓ Link59.4Nemotron-H-56B-Base (4-shot)2025-04-04
DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models✓ Link58.87DeepSeekMATH-RL-7B (w/ code, greedy decoding)2024-02-05
Laguna M.1/XS.2 Technical Report✓ Link58.8Laguna XS.22026-05-26
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link58.370OpenMath-Llama2-70B (w/ code, SC, k=50)2024-02-15
Cumulative Reasoning with Large Language Models✓ Link58.0CR (GPT-4 model, w/o code)2023-08-08
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link57.613OpenMath-CodeLlama-13B (w/ code, SC, k=50)2024-02-15
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link57.27OpenMath-Mistral-7B (w/ code, SC, k=50)2024-02-15
Attention Residuals✓ Link57.1Kimi Linear (48B) with Block AttnRes2026-03-16
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link56.970ToRA 70B (w/ code, SC, k=50)2023-09-29
Improved Large Language Diffusion Models✓ Link56.7iLLaDA 8B Instruct2026-06-24
Skills-in-Context Prompting: Unlocking Compositionality in Large Language Models56.4SKiC (GPT-4 model)2023-08-01
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link56.170DART-Math-Llama3-70B-Prop2Diff (0-shot CoT, w/o code)2024-06-18
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link55.67OpenMath-CodeLlama-7B (w/ code, SC, k=50)2024-02-15
EpiCaR: Knowing What You Don't Know Matters for Better Reasoning in LLMs55.56EpiCaR (Qwen-3, 8B) + Slow Thinking (ICL)2026-01-11
BEAM: Binary Expert Activation Masking for Dynamic Routing in MoE55.16Qwen3-30B-A3B (BEAM, beta=0.01)2026-05-14
An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning✓ Link55.07MMOS-DeepSeekMath-7B(0-shot)2024-02-23
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link54.970DART-Math-Llama3-70B-Uniform (0-shot CoT, w/o code)2024-06-18
Can Large Models Teach Student Models to Solve Mathematical Problems Like Human Beings? A Reasoning Distillation Method via Multi-LoRA Interaction✓ Link54.8LoRID (DeepSeekMath)2025-08-18
ReFusion: A Diffusion Large Language Model with Parallel Autoregressive Decoding✓ Link54.22ReFusion2025-12-15
Progressive-Hint Prompting Improves Reasoning in Large Language Models✓ Link53.9PHP (GPT-4 model)2023-04-19
DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Model✓ Link53.9DeepSeek-V2 Chat (RL) (4-shot)2024-05-07
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link53.67DART-Math-DSMath-7B-Prop2Diff (0-shot CoT, w/o code)2024-06-18
Gemini: A Family of Highly Capable Multimodal Models✓ Link53.2Gemini Ultra (4-shot)2023-12-19
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link52.97DART-Math-DSMath-7B-Uniform (0-shot CoT, w/o code)2024-06-18
Introducing Llama 3.1: Our most capable models to date✓ Link51.9Llama 3.1 (8B, Instruct)2024-07-23
The Llama 3 Herd of Models✓ Link51.9Llama 3.1 (8B, Instruct)2024-07-31
PAL: Program-aided Language Models✓ Link51.8GPT-4 model (w/ code, PAL)2022-11-18
DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models✓ Link51.77DeepSeekMATH-RL-7B (greedy decoding)2024-02-05
Toward Self-Improvement of LLMs via Imagination, Searching, and Criticizing✓ Link51AlphaLLM (with MCTS)2024-04-18
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link50.834ToRA-Code 34B (w/ code)2023-09-29
Aria: An Open Multimodal Native Mixture-of-Experts Model✓ Link50.8Aria2024-10-08
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link50.770OpenMath-CodeLlama-70B (w/ code)2024-02-15
CharacterFlywheel: Scaling Iterative Improvement of Engaging and Steerable LLMs in Production50.5CharacterFlywheel V7 (Llama 3.1 70B)2026-03-02
Solving Quantitative Reasoning Problems with Language Models✓ Link50.3Minerva 540B (maj1@k, k=64)2022-06-29
FourierSampler: Unlocking Non-Autoregressive Potential in Diffusion Language Models via Frequency-Guided Generation✓ Link50.0SDAR-4B-Chat (with FourierSampler)2026-01-30
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link49.770ToRA 70B (w/ code)2023-09-29
2 OLMo 2 Furious✓ Link49.7OLMo 2 32B Instruct (4-shot)2024-12-31
Dynin-Omni: Omnimodal Unified Large Diffusion Language Model✓ Link49.6Dynin-Omni (8B)2026-03-09
An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning✓ Link49.534MMOS-CODE-34B(0-shot)2024-02-23
PaLM 2 Technical Report✓ Link48.8PaLM 2 (few-shot, k=4, SC)2023-05-17
Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning48.87DeepSeekMath-7B-KPMath-Plus2024-03-04
Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning48.634Llemma-34B-KPMath-Plus2024-03-04
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link48.334OpenMath-CodeLlama-34B (w/ code)2024-02-15
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link48.113ToRA-Code 13B (w/ code)2023-09-29
Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations✓ Link48.167Shepherd + DeepSeek-67B (SFT on MetaMATH + PRM rerank, k=256)2023-12-14
Pixtral 12B✓ Link48.1Pixtral 12B2024-10-09
Llama 3.2: Revolutionizing edge AI and vision with open, customizable models✓ Link48.0Llama 3.2 3B Instruct2024-09-25
Solving Quantitative Reasoning Problems with Language Models✓ Link47.68Minerva 8B (maj5@256)2022-06-29
Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning46.87Mistral-7B-KPMath-Plus2024-03-04
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link46.68DART-Math-Llama3-8B-Prop2Diff (0-shot CoT, w/o code)2024-06-18
Nemotron-H: A Family of Accurate and Efficient Hybrid Mamba-Transformer Models✓ Link46.5Nemotron-H-8B-Base (4-shot)2025-04-04
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link46.370OpenMath-Llama2-70B (w/ code)2024-02-15
SmolLM3: smol, multilingual, long-context reasoner✓ Link46.1SmolLM3 3B Base (4-shot)2025-07-08
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link45.513OpenMath-CodeLlama-13B (w/ code)2024-02-15
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link45.57DART-Math-Mistral-7B-Prop2Diff (0-shot CoT, w/o code)2024-06-18
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link45.38DART-Math-Llama3-8B-Uniform (0-shot CoT, w/o code)2024-06-18
MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning✓ Link45.234MathCoder-CL-34B2023-10-05
MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning✓ Link45.134MathCoder-L-34B2023-10-05
Augmenting Math Word Problems via Iterative Question Composing✓ Link45.072MMIQC-72B2024-01-17
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link44.67ToRA-Code 7B (w/ code)2023-09-29
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link44.57OpenMath-Mistral-7B (w/ code)2024-02-15
Youtu-LLM: Unlocking the Native Agentic Potential for Lightweight Large Language Models✓ Link44.4Youtu-LLM (2B, base)2025-12-31
An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning✓ Link44.37MMOS-CODE-7B(0-shot)2024-02-23
OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset✓ Link43.67OpenMath-CodeLlama-7B (w/ code)2024-02-15
Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations✓ Link43.57Shepherd+Mistral-7B (SFT on MetaMATH + PRM RL+ PRM rerank, k=256)2023-12-14
DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving✓ Link43.57DART-Math-Mistral-7B-Uniform (0-shot CoT, w/o code)2024-06-18
Solving Quantitative Reasoning Problems with Language Models✓ Link43.462Minerva 62B (maj1@k, k=64)2022-06-29
Llama-3.1-FoundationAI-SecurityLLM-Reasoning-8B Technical Report43.3Foundation-Sec-8B-Reasoning (8B)2026-01-28
Introducing the next generation of Claude43.1Claude 3 Sonnet2024-03-04
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link43.013ToRA 13B (w/ code)2023-09-29
Sparks of Artificial General Intelligence: Early experiments with GPT-4✓ Link42.5GPT-42023-03-22
Gemma 2: Improving Open Language Models at a Practical Size✓ Link42.3Gemma 2 27B (4-shot)2024-07-31
Harder Is Better: Boosting Mathematical Reasoning via Difficulty-Aware GRPO and Multi-Aspect Question Reformulation✓ Link42.17Qwen2.5-Math-7B (MathForge)2026-01-28
41.87SFT-Mistral-7B
Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning4113Llama2-13B-KPMath-Plus2024-03-04
ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving✓ Link40.17ToRA 7B (w/ code)2023-09-29
2 OLMo 2 Furious✓ Link39.2OLMo 2 13B Instruct (4-shot)2024-12-31
Introducing the next generation of Claude38.9Claude 3 Haiku2024-03-04
One Sample to Rule Them All: Extreme Data Efficiency in RL Scaling✓ Link38.8Qwen2.5-7b-base (Polymath Learning - Natural sample: Probability)2026-01-06
Can Large Models Teach Student Models to Solve Mathematical Problems Like Human Beings? A Reasoning Distillation Method via Multi-LoRA Interaction✓ Link38.7LoRID (Mistral)2025-08-18
Improved Large Language Diffusion Models✓ Link38.4iLLaDA 8B Base2026-06-24
Queryable LoRA: Instruction-Regularized Routing Over Shared Low-Rank Update Atoms37.5Instruction-Queryable LoRA2026-05-08
Flash-dLLM: IO-Aware KV Caching and Parallel Decoding for Fast, Memory-Efficient Diffusion LLMs✓ Link36.56Flash-dLLM2026-09-22
MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning✓ Link35.913MathCoder-CL-13B2023-10-05
MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning✓ Link35.670MuggleMATH-70B2023-10-09
PaLM 2 Technical Report✓ Link34.3PaLM 2 (few-shot, k=4, CoT)2023-05-17
Solving Quantitative Reasoning Problems with Language Models✓ Link33.6540Minerva 540B2022-06-29
Galactica: A Large Language Model for Science✓ Link33.6540Minerva 540B (5-shot) mCoT2022-11-16
WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct✓ Link33.07WizardMath-7B-V1.12023-08-18
Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations✓ Link33.07Shepherd + Mistral-7B (SFT on MetaMATH + PRM RL)2023-12-14
Gemini: A Family of Highly Capable Multimodal Models✓ Link32.6Gemini Pro (4-shot)2023-12-19
DeepSeek LLM: Scaling Open-Source Language Models with Longtermism✓ Link32.6DeepSeek LLM 67B Chat2024-01-05
2 OLMo 2 Furious✓ Link32.5OLMo 2 7B Instruct (4-shot)2024-12-31
The Master Key Hypothesis: Unlocking Cross-Model Capability Transfer via Linear Subspace Alignment✓ Link31.2Qwen1.5 (14B) + UNLOCK from 7B2026-04-07
Apertus: Democratizing Open and Compliant LLMs for Global Language Environments✓ Link30.8Apertus-70B-Instruct2025-09-17
HySparse: A Hybrid Sparse Attention Architecture with Oracle Token Selection and KV Cache Sharing30.8HySparse (80B MoE)2026-02-03
MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning✓ Link30.713MuggleMATH-13B2023-10-09
MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning✓ Link30.27MathCoder-CL-7B2023-10-05
MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning✓ Link29.913MathCoder-L-13B2023-10-05
Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks✓ Link29.9Qwen2idae-16x14B (4-shot)2024-01-05
OpenChat: Advancing Open-source Language Models with Mixed-Quality Data✓ Link28.97OpenChat-3.5-1210 7B2023-09-20
OpenChat: Advancing Open-source Language Models with Mixed-Quality Data✓ Link28.67OpenChat-3.5 7B2023-09-20
Mixtral of Experts✓ Link28.4Mixtral 8x7B (maj@4)2024-01-08
Solving Quantitative Reasoning Problems with Language Models✓ Link27.662Minerva 62B (4-shot)2022-06-29
River-LLM: Large Language Model Seamless Exit Based on KV Share26.6River-LLM (Llama3.1 8B, τ=0.5)2026-04-20
Coupling Experts and Routers in Mixture-of-Experts via an Auxiliary Loss26.1MoE + ERC2025-12-29
MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models✓ Link26.070MetaMath 70B2023-09-21
mHC: Manifold-Constrained Hyper-Connections26.0mHC (27B)2025-12-31
MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning✓ Link25.87MuggleMATH 7B2023-10-09
Solving Quantitative Reasoning Problems with Language Models✓ Link25.48Minerva 8B (maj1@k, k=64)2022-06-29
Can Large Models Teach Student Models to Solve Mathematical Problems Like Human Beings? A Reasoning Distillation Method via Multi-LoRA Interaction✓ Link25.2LoRID (LLaMA-2)2025-08-18
Gemma: Open Models Based on Gemini Research and Technology✓ Link24.3Gemma 7B (4-shot)2024-03-13
RecurrentGemma: Moving Past Transformers for Efficient Open Language Models✓ Link23.8RecurrentGemma-9B (4-shot)2024-04-11
Triplet-Block Diffusion RWKV✓ Link23.8B3D-RWKV-7.2B2026-05-25
MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning✓ Link23.37MathCoder-L-7B2023-10-05
WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct✓ Link22.770WizardMath-70B-V1.02023-08-18
Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks✓ Link22.6Camelidae-8×34B (4-shot)2024-01-05
MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models✓ Link22.513MetaMath 13B2023-09-21
Chameleon: Mixed-Modal Early-Fusion Foundation Models✓ Link22.5Chameleon 34B2024-05-16
Knowledge Distillation During Mid-Training Favors Reasoning over Factual Recall✓ Link22.4Switch Distillation (1B; 7B teacher, full post-training)2026-09-01
T5Gemma 2: Seeing, Reading, and Understanding Longer21.2T5Gemma 2 4B-4B2025-12-16
SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Model✓ Link21.0SmolLM2 1.7B Instruct2025-02-04
LLaMA: Open and Efficient Foundation Language Models✓ Link20.565LLaMA 65B (maj1@k)2023-02-27
Galactica: A Large Language Model for Science✓ Link20.4120GAL 120B (5-shot) mCoT2022-11-16
Cross-Tokenizer LLM Distillation through a Byte-Level Interface20.08Gemma2 (2B) with BLD (distilled from OpenMath2-Llama3.1-8B)2026-04-13
MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models✓ Link19.47MetaMath 7B2023-09-21
Solving Quantitative Reasoning Problems with Language Models✓ Link19.1175davinci-002 175B2022-06-29
Branch-Train-MiX: Mixing Expert LLMs into a Mixture-of-Experts LLM✓ Link17.8Branch-Train-MiX 4x7B (sampling top-2 experts)2024-03-12
Copy-Paste Language Models✓ Link17.5Copy-Paste Language Model (1.7B, Full)2026-10-13
Galactica: A Large Language Model for Science✓ Link16.6120GAL 120B <work>2022-11-16
LLaMA: Open and Efficient Foundation Language Models✓ Link15.233LLaMA 33B-maj1@k2023-02-27
Power Scheduler: A Batch Size and Token Number Agnostic Learning Rate Scheduler✓ Link15.2PowerLM-3B (4-shot)2024-08-23
Solving Quantitative Reasoning Problems with Language Models✓ Link14.18Minerva 8B2022-06-29
WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct✓ Link14.013WizardMath-13B-V1.02023-08-18
dLLM: Simple Diffusion Language Modeling✓ Link13.9Qwen3-0.6B-diffusion-bd3lm-v0.12026-02-26
Mistral 7B✓ Link13.17Mistral 7B (maj@4)2023-10-10
Galactica: A Large Language Model for Science✓ Link12.730GAL 30B (5-shot) mCoT2022-11-16
Mixtral of Experts✓ Link12.77Mistral 7B (maj@4)2024-01-08
SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Model✓ Link11.6SmolLM2 1.7B2025-02-04
Galactica: A Large Language Model for Science✓ Link11.430GAL 30B <work>2022-11-16
RecurrentGemma: Moving Past Transformers for Efficient Open Language Models✓ Link11.0RecurrentGemma-2B (4-shot)2024-04-11
WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct✓ Link10.77WizardMath-7B-V1.02023-08-18
LLaMA: Open and Efficient Foundation Language Models✓ Link10.665LLaMA 65B2023-02-27
Solving Quantitative Reasoning Problems with Language Models✓ Link8.8540PaLM 540B2022-06-29
Galactica: A Large Language Model for Science✓ Link8.8540PaLM 540B (5-shot) mCoT2022-11-16
LLaMA: Open and Efficient Foundation Language Models✓ Link8.813LLaMA 13B-maj1@k2023-02-27
Scaling Inherently Interpretable Language Models✓ Link8.0Steerling-8B2026-08-06
LLaMA: Open and Efficient Foundation Language Models✓ Link7.133LLaMA 33B2023-02-27
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link6.91.5GPT-2 (1.5B)2021-03-05
LLaMA: Open and Efficient Foundation Language Models✓ Link6.97LLaMA 7B-maj1@k2023-02-27
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link6.40.7GPT-2 (0.7B)2021-03-05
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link6.20.3GPT-2 (0.3B)2021-03-05
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link5.613GPT-3 13B2021-03-05
Solving Quantitative Reasoning Problems with Language Models✓ Link5.68PaLM 8B (fine-tuned)2022-06-29
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link5.40.1GPT-2 (0.1B)2021-03-05
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link5.2175GPT-3-175B (few-shot)2021-03-05
Galactica: A Large Language Model for Science✓ Link5.2175GPT-3 175B (8-shot)2022-11-16
Solving Quantitative Reasoning Problems with Language Models✓ Link4.462PaLM 62B2022-06-29
LLaMA: Open and Efficient Foundation Language Models✓ Link3.913LLaMA 13B2023-02-27
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link3.013GPT-3-13B (few-shot)2021-03-05
Measuring Mathematical Problem Solving With the MATH Dataset✓ Link2.92.7GPT-3 2.7B2021-03-05
LLaMA: Open and Efficient Foundation Language Models✓ Link2.97LLaMA 7B2023-02-27
Solving Quantitative Reasoning Problems with Language Models✓ Link1.58PaLM 8B2022-06-29