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Mathematical Reasoning on GSM-Hard

78Solve RateGPT-4o
40.35250.12659.969.674Nov 18, 2022Jun 2, 2023Dec 16, 2023Jun 30, 2024Jan 13, 2025Jul 29, 2025Feb 11, 2026

Evaluation results

MethodLinks
GPT-4oPrompting=decl. PL-1S2025.1278————
GPT-4 (Code Interpreter)Decoding Strategy=Greedy2024.0277.6————
F-CoTModel=Qwen 3 14B2025.1177.03—1,838——
F-CoTModel=Qwen 3 32B2025.1177.03—1,785——
F-CoTModel=Qwen 3 4B2025.1176.88—2,308——
GPT-4oPrompting=PY-ZS2025.1275.7————
CoReModel=Qwen 3 14B2025.1173.31—4,253——
PSModel=Qwen 3 14B2025.1172.86—4,285——
GPT-4oPrompting=decl. PY-1S2025.1272.6————
CoReModel=Qwen 3 4B2025.1171.95—5,509——
0-CoTModel=Qwen 3 14B2025.1171.87—4,429——
PSModel=Qwen 3 4B2025.1171.49—5,318——
GPT-4oPrompting=PL-ZS2025.1271.3————
CoReModel=Qwen 3 32B2025.1171.27—4,387——
PSModel=Qwen 3 32B2025.1170.96—4,238——
0-CoTModel=Qwen 3 4B2025.1170.36—5,674——
0-CoTModel=Qwen 3 32B2025.1170.13—4,516——
FEW-SHOTBackbone=QWEN3-8B2026.0169.3————
QWEN3-8BModel=QWEN3-8B, Method=FEW-SHOT2026.0169.3————
GPT-4oPrompting=CoT2025.1269.1————
Qwen2-Math-7B-InstructBackbone=Qwen2-Math-7B, Variant=Instruct2024.1068.372.7———
COMTBackbone=QWEN3-4B2026.0167.9————
COMT+CCRLBackbone=QWEN3-4B2026.0167.9————
ToRAModel Size=70B, Base Model=Llama-2, Decoding Strategy=Greedy2024.0267.2————
COMT+CCRLModel=QWEN3-4B, Method=COMT+CCRL2026.0167————
OpenMath-CodeLlamaModel Size=70B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0266.6————
COMTModel=QWEN3-4B, Method=COMT2026.0166.6————
CoReModel=Qwen 3 0.6B2025.1166.34—4,854——
Qwen2-Math-7B-ScaleQuestBackbone=Qwen2-Math-7B, Variant=ScaleQuest2024.1066.372.5———
FSLRBackbone=Qwen2.5-7B, Data Source=Self, Training Set=SVAMP2026.0166.2————
FSLRBackbone=Qwen3-4B, Data Source=LLaMA, Training Set=SVAMP2026.0166————
0-CoTModel=Qwen 3 0.6B2025.1165.88—5,235——
OpenMath-Llama2Model Size=70B, Base Model=Llama-2, Decoding Strategy=Greedy2024.0265.7————
PSModel=Qwen 3 0.6B2025.1165.43—4,989——
COMT+CCRLModel=QWEN2.5-7B, Method=COMT+CCRL2026.0165.3————
F-CoTModel=Qwen 3 0.6B2025.1164.9—2,122——
FSLRBackbone=Qwen3-4B, Data Source=Self, Training Set=SVAMP2026.0164.5————
COMT+CCRLBackbone=QWEN3-8B2026.0164.4————
COMT+CCRLModel=QWEN3-8B, Method=COMT+CCRL2026.0164.2————
OpenMath-CodeLlamaModel Size=34B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0264————
COMTBackbone=QWEN3-8B2026.0163.9————
OpenMath-Mistral-7BModel Size=7B, Base Model=Mistral, Decoding Strategy=Greedy2024.0263.7————
ToRAModel Size=34B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0263.7————
FSLRBackbone=Qwen3-4B, Data Source=Qwen, Training Set=SVAMP2026.0163.7————
COMTModel=QWEN2.5-7B, Method=COMT2026.0163.4————
FEW-SHOTBackbone=QWEN2.5-7B2026.0162.9————
QWEN2.5-7BModel=QWEN2.5-7B, Method=FEW-SHOT2026.0162.9————
Base LLMBackbone=Qwen2.5-7B, Mode=Few-shot2026.0162.9————
COMTModel=QWEN3-8B, Method=COMT2026.0162.5————
ZERO-SHOTBackbone=QWEN3-4B2026.0162.4————
QWEN3-4BModel=QWEN3-4B, Method=ZERO-SHOT2026.0162.4————
Base LLMBackbone=Qwen3-4B, Mode=Zero-shot2026.0162.4————
CoT-SFTBackbone=Qwen3-4B, Data Source=Qwen, Training Set=SVAMP2026.0162.2————
OpenMath-CodeLlamaModel Size=13B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0261.9————
code-davinci-002Prompting=PoT2025.1261.8————
CoT-SFTBackbone=Qwen2.5-7B, Data Source=Self, Training Set=SVAMP2026.0161.7————
PALPrompting Strategy=Program-aided, Model=Codex2022.1161.2————
code-davinci-002Prompting=PAL2025.1261.2————
COT-SFT+RLModel=QWEN2.5-7B, Method=COT-SFT+RL2026.0160.7————
ToRAModel Size=13B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0260.5————
COT-SFT+RLBackbone=QWEN3-4B2026.0160.5————
OpenMath-CodeLlamaModel Size=7B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0260.1————
COMT+CCRLBackbone=QWEN2.5-7B2026.0159.8————
COT-SFT+RLModel=QWEN3-8B, Method=COT-SFT+RL2026.0159.3————
COT-SFT+RLBackbone=QWEN2.5-7B2026.0159.2————
CoT-SFTBackbone=Qwen2.5-7B, Data Source=Qwen, Training Set=SVAMP2026.0158.8————
CoT-SFTBackbone=Qwen3-4B, Data Source=LLaMA, Training Set=SVAMP2026.0158.5————
COMTBackbone=QWEN2.5-7B2026.0158.3————
COT-SFTBackbone=QWEN3-4B2026.0158.1————
FSLRBackbone=Qwen2.5-7B, Data Source=Qwen, Training Set=SVAMP2026.0157.5————
FSLRBackbone=Qwen2.5-7B, Data Source=LLaMA, Training Set=SVAMP2026.0157.2————
CoT-SFTBackbone=Qwen2.5-7B, Data Source=LLaMA, Training Set=SVAMP2026.0157————
COT-SFTBackbone=QWEN2.5-7B2026.0156.2————
ZERO-SHOTBackbone=DEEPSEEK-MATH2026.0156.1————
DeepSeek-MathModel=DeepSeek-Math, Method=ZERO-SHOT2026.0156.1————
DeepSeek-MathBackbone=DeepSeek-Math-7B, Mode=Zero-shot2026.0156.1————
ToRAModel Size=7B, Base Model=CodeLlama, Decoding Strategy=Greedy2024.0256————
FEW-SHOTBackbone=QWEN3-4B2026.0156————
QWEN3-4BModel=QWEN3-4B, Method=FEW-SHOT2026.0156————
Base LLMBackbone=Qwen3-4B, Mode=Few-shot2026.0156————
ZERO-SHOTBackbone=QWEN2.5-MATH2026.0155.4————
Qwen2.5-MathModel=Qwen2.5-Math, Method=ZERO-SHOT2026.0155.4————
Qwen2.5-MathBackbone=Qwen2.5-Math-7B, Mode=Zero-shot2026.0155.4————
CoT-SFTBackbone=Qwen3-4B, Data Source=Self, Training Set=SVAMP2026.0155————
COT-SFTModel=QWEN3-4B, Method=COT-SFT2026.0154.8————
DeepSeek-Coder-BaseSize=33B, Protocol=Program-Aided Math Reasoning (PAL)2024.0154.1————
COT-SFTModel=QWEN3-8B, Method=COT-SFT2026.0153.9————
COT-SFT+RLModel=QWEN3-4B, Method=COT-SFT+RL2026.0153.8————
ZERO-SHOTBackbone=QWEN2.5-7B2026.0153.4————
QWEN2.5-7BModel=QWEN2.5-7B, Method=ZERO-SHOT2026.0153.4————
Base LLMBackbone=Qwen2.5-7B, Mode=Zero-shot2026.0153.4————
COT-SFTModel=QWEN2.5-7B, Method=COT-SFT2026.0152.8————
CodeLlama-BaseSize=34B, Protocol=Program-Aided Math Reasoning (PAL)2024.0151.8————
COT-SFT+RLBackbone=QWEN3-8B2026.0150.5————
PPCVBackbone=Llama-3.1-8B-Instruct2026.0249.73————
ZERO-SHOTBackbone=QWEN3-8B2026.0149.5————
QWEN3-8BModel=QWEN3-8B, Method=ZERO-SHOT2026.0149.5————
COT-SFTBackbone=QWEN3-8B2026.0146.5————
COMT+CCRLModel=LLAMA3.1-8B, Method=COMT+CCRL2026.0142.2————
COMTModel=LLAMA3.1-8B, Method=COMT2026.0141.8————