nlile/math_benchmark_test_saturation · Datasets at Hugging Face

rank int64 1 112	model stringlengths 5 65	accuracy float64 10.6 89.7	parameters float64 1.5 540 ⌀	extra_training_data stringclasses 2 values	paper stringlengths 0 110	code stringclasses 3 values	result stringclasses 3 values	year int64 2.02k 2.02k	tags sequencelengths 0 3
1	Gemini 2.0 Flash Experimental	89.7	null	No		No	No	2,024	[]
2	Qwen2.5-Math-72B-Instruct (TIR,Greedy)	88.1	72	Yes	Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement	No	Yes	2,024	[]
3	GPT-4 Turbo (MACM, w/code, voting)	87.92	null	No	MACM: Utilizing a Multi-Agent System for Condition Mining in Solving Complex Mathematical Problems	Yes	Yes	2,024	[ "code environment", "majority voting", "multi-agent" ]
4	Qwen2.5-Math-72B-Instruct (COT,Greedy)	85.9	72	Yes	Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement	No	Yes	2,024	[]
5	Qwen2.5-Math-7B-Instruct (TIR,Greedy)	85.2	7	Yes	Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement	No	Yes	2,024	[]
6	GPT-4-code model (CSV, w/ code, SC, k=16)	84.3	null	No	Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification	Yes	Yes	2,023	[ "multi-agent", "majority voting", "code environment" ]
7	Qwen2-Math-72B-Instruct (greedy)	84	72	Yes	Qwen2 Technical Report	Yes	Yes	2,024	[]
8	Qwen2.5-Math-7B-Instruct (COT,Greedy)	83.6	7	Yes	Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement	No	Yes	2,024	[]
9	Qwen2.5-Math-1.5B-Instruct (TIR,Greedy)	79.9	1.5	Yes	Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement	No	Yes	2,024	[]
10	OpenMath2-Llama3.1-70B (majority@256)	79.6	null	Yes	OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data	Yes	Yes	2,024	[]
11	OpenMath2-Llama3.1-8B (majority@256)	76.1	null	Yes	OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data	Yes	Yes	2,024	[]
12	Qwen2.5-Math-1.5B-Instruct (COT,Greedy)	75.8	1.5	Yes	Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement	No	Yes	2,024	[]
13	GPT-4-code model (CSV, w/ code)	73.5	null	No	Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification	Yes	Yes	2,023	[ "code environment" ]
14	CR (GPT-4-turbo model, w/ code)	72.2	null	No	Cumulative Reasoning with Large Language Models	Yes	Yes	2,023	[ "code environment" ]
15	OpenMath2-Llama3.1-70B	71.9	null	Yes	OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data	Yes	Yes	2,024	[]
16	LogicNet (with code interpreter)	71.2	null	Yes	Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification	Yes	Yes	2,023	[]
17	Qwen2-72B-Instruct-Step-DPO (0-shot CoT, w/o code)	70.8	null	Yes	Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMs	Yes	Yes	2,024	[]
18	GPT-4-code model (w/ code)	69.7	null	No	Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification	Yes	Yes	2,023	[ "code environment" ]
19	OpenMath2-Llama3.1-8B	67.8	null	Yes	OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data	Yes	Yes	2,024	[]
20	AlphaMath-7B-SBS@3	66.3	null	No	AlphaMath Almost Zero: Process Supervision without Process	Yes	Yes	2,024	[ "code environment" ]
21	Minerva 62B (maj5@256)	64.9	62	No	Solving Quantitative Reasoning Problems with Language Models	Yes	Yes	2,022	[]
22	DAMOMath-7B	64.5	7	Yes				2,024	[]
23	MMOS-DeepSeekMath-7B (0-shot,k=50)	63.7	7	Yes	An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning	Yes	Yes	2,024	[ "code environment", "zero-shot", "majority voting" ]
24	GPT-4-code model (w/o code)	60.8	null	No	Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification	Yes	Yes	2,023	[]
25	OpenMath-CodeLlama-70B (w/ code, SC, k=50)	60.4	70	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment", "majority voting" ]
26	OpenMath-CodeLlama-34B (w/ code, SC, k=50)	60.2	34	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment", "majority voting" ]
27	ToRA-Code 34B model (w/ code, SC, k=50)	60	34	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "majority voting", "code environment", "gpt-4 distillation" ]
28	DeepSeekMATH-RL-7B (w/ code, greedy decoding)	58.8	7	Yes	DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models	Yes	Yes	2,024	[]
29	OpenMath-Llama2-70B (w/ code, SC, k=50)	58.3	70	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment", "majority voting" ]
30	CR (GPT-4 model, w/o code)	58	null	No	Cumulative Reasoning with Large Language Models	Yes	Yes	2,023	[]
31	OpenMath-CodeLlama-13B (w/ code, SC, k=50)	57.6	13	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment", "majority voting" ]
32	OpenMath-Mistral-7B (w/ code, SC, k=50)	57.2	7	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment", "majority voting" ]
33	ToRA 70B (w/ code, SC, k=50)	56.9	70	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "majority voting", "code environment", "gpt-4 distillation" ]
34	SKiC (GPT-4 model)	56.4	null	No	Skills-in-Context Prompting: Unlocking Compositionality in Large Language Models	No	Yes	2,023	[ "code environment" ]
35	DART-Math-Llama3-70B-Prop2Diff (0-shot CoT, w/o code)	56.1	70	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
36	OpenMath-CodeLlama-7B (w/ code, SC, k=50)	55.6	7	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment", "majority voting" ]
37	MMOS-DeepSeekMath-7B (0-shot)	55	7	Yes	An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning	Yes	Yes	2,024	[]
38	DART-Math-Llama3-70B-Uniform (0-shot CoT, w/o code)	54.9	70	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
39	PHP (GPT-4 model)	53.9	null	No	Progressive-Hint Prompting Improves Reasoning in Large Language Models	Yes	Yes	2,023	[]
40	DART-Math-DSMath-7B-Prop2Diff (0-shot CoT, w/o code)	53.6	7	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
41	Gemini Ultra (4-shot)	53.2	null	No	Gemini: A Family of Highly Capable Multimodal Models	Yes	Yes	2,023	[]
42	DART-Math-DSMath-7B-Uniform (0-shot CoT, w/o code)	52.9	7	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
43	GPT-4 model (w/ code, PAL)	51.8	null	No	PAL: Program-aided Language Models	Yes	Yes	2,022	[ "code environment" ]
44	DeepSeekMATH-RL-7B (greedy decoding)	51.7	7	Yes	DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models	Yes	Yes	2,024	[]
45	AlphaLLM (with MCTS)	51	null	No	Toward Self-Improvement of LLMs via Imagination, Searching, and Criticizing	Yes	Yes	2,024	[]
46	ToRA-Code 34B (w/ code)	50.8	34	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "code environment", "gpt-4 distillation" ]
47	OpenMath-CodeLlama-70B (w/ code)	50.7	70	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	No	2,024	[ "code environment" ]
48	Minerva 540B (maj1@k, k=64)	50.3	null	No	Solving Quantitative Reasoning Problems with Language Models	Yes	Yes	2,022	[ "majority voting" ]
49	ToRA 70B (w/ code)	49.7	70	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "code environment", "gpt-4 distillation" ]
50	MMOS-CODE-34B (0-shot)	49.5	34	Yes	An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning	Yes	Yes	2,024	[]
51	DeepSeekMath-7B-KPMath-Plus	48.8	7	No	Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning			2,024	[]
52	PaLM 2 (few-shot, k=4, SC)	48.8	null	No	PaLM 2 Technical Report	Yes	No	2,023	[ "majority voting" ]
53	Llemma-34B-KPMath-Plus	48.6	34	No	Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning			2,024	[]
54	OpenMath-CodeLlama-34B (w/ code)	48.3	34	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	Yes	2,024	[ "code environment" ]
55	Shepherd + DeepSeek-67B (SFT on MetaMATH + PRM rerank, k=256)	48.1	67	Yes	Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations	Yes	No	2,023	[ "rerank" ]
56	ToRA-Code 13B (w/ code)	48.1	13	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "code environment", "gpt-4 distillation" ]
57	Minerva 8B (maj5@256)	47.6	8	No	Solving Quantitative Reasoning Problems with Language Models	Yes	Yes	2,022	[]
58	Mistral-7B-KPMath-Plus	46.8	7	Yes	Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning			2,024	[]
59	DART-Math-Llama3-8B-Prop2Diff (0-shot CoT, w/o code)	46.6	8	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
60	OpenMath-Llama2-70B (w/ code)	46.3	70	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	No	2,024	[]
61	OpenMath-CodeLlama-13B (w/ code)	45.5	13	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	No	2,024	[]
62	DART-Math-Mistral-7B-Prop2Diff (0-shot CoT, w/o code)	45.5	7	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	No	Yes	2,024	[]
63	DART-Math-Llama3-8B-Uniform (0-shot CoT, w/o code)	45.3	8	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
64	MathCoder-CL-34B	45.2	34	Yes	MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning	Yes	No	2,023	[]
65	MathCoder-L-34B	45.1	34	Yes	MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning	Yes	No	2,023	[]
66	MMIQC-72B	45	72	Yes	Augmenting Math Word Problems via Iterative Question Composing	Yes	Yes	2,024	[]
67	ToRA-Code 7B (w/ code)	44.6	7	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "code environment", "gpt-4 distillation" ]
68	OpenMath-Mistral-7B (w/ code)	44.5	7	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	No	2,024	[]
69	MMOS-CODE-7B (0-shot)	44.3	7	Yes	An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning	Yes	Yes	2,024	[]
70	OpenMath-CodeLlama-7B (w/ code)	43.6	7	Yes	OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset	Yes	No	2,024	[]
71	Shepherd+Mistral-7B (SFT on MetaMATH + PRM RL+ PRM rerank, k=256)	43.5	7	Yes	Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations	Yes	No	2,023	[ "rerank" ]
72	DART-Math-Mistral-7B-Uniform (0-shot CoT, w/o code)	43.5	7	Yes	DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving	Yes	Yes	2,024	[]
73	Minerva 62B (maj1@k, k=64)	43.4	62	No	Solving Quantitative Reasoning Problems with Language Models	Yes	Yes	2,022	[ "majority voting" ]
74	ToRA 13B (w/ code)	43	13	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "code environment", "gpt-4 distillation" ]
75	GPT-4	42.5	null	No	Sparks of Artificial General Intelligence: Early experiments with GPT-4	Yes	Yes	2,023	[]
76	SFT-Mistral-7B	41.8	7	Yes				2,024	[]
77	Llama2-13B-KPMath-Plus	41	13	No	Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning			2,024	[]
78	ToRA 7B (w/ code)	40.1	7	Yes	ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving	Yes	Yes	2,023	[ "code environment", "gpt-4 distillation" ]
79	MathCoder-CL-13B	35.9	13	Yes	MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning	Yes	No	2,023	[]
80	MuggleMATH-70B	35.6	70	Yes	MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning	Yes	No	2,023	[]
81	PaLM 2 (few-shot, k=4, CoT)	34.3	null	No	PaLM 2 Technical Report	Yes	No	2,023	[]
82	Minerva 540B	33.6	540	No	Solving Quantitative Reasoning Problems with Language Models	Yes	No	2,022	[]
83	Minerva 540B (5-shot)	33.6	540	No	Galactica: A Large Language Model for Science	Yes	No	2,022	[]
84	Shepherd + Mistral-7B (SFT on MetaMATH + PRM RL)	33	7	Yes	Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations	Yes	No	2,023	[]
85	WizardMath-7B-V1.1	33	7	Yes	WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct	Yes	No	2,023	[]
86	Gemini Pro (4-shot)	32.6	null	No	Gemini: A Family of Highly Capable Multimodal Models	Yes	Yes	2,023	[]
87	MuggleMATH-13B	30.7	13	Yes	MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning	Yes	No	2,023	[]
88	MathCoder-CL-7B	30.2	7	Yes	MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning	Yes	No	2,023	[]
89	MathCoder-L-13B	29.9	13	Yes	MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning	Yes	No	2,023	[]
90	Qwen2idae-16x14B (4-shot)	29.9	null	Yes	Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks	Yes	No	2,024	[]
91	OpenChat-3.5-1210 7B	28.9	7	No	OpenChat: Advancing Open-source Language Models with Mixed-Quality Data	Yes	No	2,023	[]
92	OpenChat-3.5 7B	28.6	7	No	OpenChat: Advancing Open-source Language Models with Mixed-Quality Data	Yes	No	2,023	[]
93	Mixtral 8x7B (maj@4)	28.4	null	No	Mixtral of Experts	Yes	Yes	2,024	[]
94	Minerva 62B (4-shot)	27.6	62	No	Solving Quantitative Reasoning Problems with Language Models	Yes	Yes	2,022	[]
95	MetaMath 70B	26	70	Yes	MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models	Yes	No	2,023	[ "fine-tuned" ]
96	MuggleMATH 7B	25.8	7	Yes	MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning	Yes	No	2,023	[]
97	Minerva 8B (maj1@k, k=64)	25.4	8	No	Solving Quantitative Reasoning Problems with Language Models	Yes	Yes	2,022	[ "majority voting" ]
98	MathCoder-L-7B	23.3	7	Yes	MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning	Yes	No	2,023	[]
99	WizardMath-70B-V1.0	22.7	70	Yes	WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct	Yes	No	2,023	[]
100	Camelidae-8×34B (4-shot)	22.6	null	Yes	Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks	Yes	No	2,024	[]

1

Gemini 2.0 Flash Experimental

89.7

null

No

2,024

[]

2

Qwen2.5-Math-72B-Instruct (TIR,Greedy)

88.1

72

Yes

Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

No

Yes

2,024

[]

3

GPT-4 Turbo (MACM, w/code, voting)

87.92

null

No

MACM: Utilizing a Multi-Agent System for Condition Mining in Solving Complex Mathematical Problems

Yes

2,024

[ "code environment", "majority voting", "multi-agent" ]

4

Qwen2.5-Math-72B-Instruct (COT,Greedy)

85.9

72

Yes

Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

No

Yes

2,024

[]

5

Qwen2.5-Math-7B-Instruct (TIR,Greedy)

85.2

7

Yes

Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

No

Yes

2,024

[]

6

GPT-4-code model (CSV, w/ code, SC, k=16)

84.3

null

No

Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification

Yes

2,023

[ "multi-agent", "majority voting", "code environment" ]

7

Qwen2-Math-72B-Instruct (greedy)

84

72

Yes

Qwen2 Technical Report

Yes

2,024

[]

8

Qwen2.5-Math-7B-Instruct (COT,Greedy)

83.6

7

Yes

Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

No

Yes

2,024

[]

9

Qwen2.5-Math-1.5B-Instruct (TIR,Greedy)

79.9

1.5

Yes

Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

No

Yes

2,024

[]

10

OpenMath2-Llama3.1-70B (majority@256)

79.6

null

Yes

OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data

Yes

2,024

[]

11

OpenMath2-Llama3.1-8B (majority@256)

76.1

null

Yes

OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data

Yes

2,024

[]

12

Qwen2.5-Math-1.5B-Instruct (COT,Greedy)

75.8

1.5

Yes

Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

No

Yes

2,024

[]

13

GPT-4-code model (CSV, w/ code)

73.5

null

No

Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification

Yes

2,023

[ "code environment" ]

14

CR (GPT-4-turbo model, w/ code)

72.2

null

No

Cumulative Reasoning with Large Language Models

Yes

2,023

[ "code environment" ]

15

OpenMath2-Llama3.1-70B

71.9

null

Yes

OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data

Yes

2,024

[]

16

LogicNet (with code interpreter)

71.2

null

Yes

Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification

Yes

2,023

[]

17

Qwen2-72B-Instruct-Step-DPO (0-shot CoT, w/o code)

70.8

null

Yes

Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMs

Yes

2,024

[]

18

GPT-4-code model (w/ code)

69.7

null

No

Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification

Yes

2,023

[ "code environment" ]

19

OpenMath2-Llama3.1-8B

67.8

null

Yes

OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data

Yes

2,024

[]

20

AlphaMath-7B-SBS@3

66.3

null

No

AlphaMath Almost Zero: Process Supervision without Process

Yes

2,024

[ "code environment" ]

21

Minerva 62B (maj5@256)

64.9

62

No

Solving Quantitative Reasoning Problems with Language Models

Yes

2,022

[]

22

DAMOMath-7B

64.5

7

Yes

2,024

[]

23

MMOS-DeepSeekMath-7B (0-shot,k=50)

63.7

7

Yes

An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning

Yes

2,024

[ "code environment", "zero-shot", "majority voting" ]

24

GPT-4-code model (w/o code)

60.8

null

No

Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification

Yes

2,023

[]

25

OpenMath-CodeLlama-70B (w/ code, SC, k=50)

60.4

70

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment", "majority voting" ]

26

OpenMath-CodeLlama-34B (w/ code, SC, k=50)

60.2

34

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment", "majority voting" ]

27

ToRA-Code 34B model (w/ code, SC, k=50)

60

34

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "majority voting", "code environment", "gpt-4 distillation" ]

28

DeepSeekMATH-RL-7B (w/ code, greedy decoding)

58.8

7

Yes

DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Yes

2,024

[]

29

OpenMath-Llama2-70B (w/ code, SC, k=50)

58.3

70

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment", "majority voting" ]

30

CR (GPT-4 model, w/o code)

58

null

No

Cumulative Reasoning with Large Language Models

Yes

2,023

[]

31

OpenMath-CodeLlama-13B (w/ code, SC, k=50)

57.6

13

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment", "majority voting" ]

32

OpenMath-Mistral-7B (w/ code, SC, k=50)

57.2

7

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment", "majority voting" ]

33

ToRA 70B (w/ code, SC, k=50)

56.9

70

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "majority voting", "code environment", "gpt-4 distillation" ]

34

SKiC (GPT-4 model)

56.4

null

No

Skills-in-Context Prompting: Unlocking Compositionality in Large Language Models

No

Yes

2,023

[ "code environment" ]

35

DART-Math-Llama3-70B-Prop2Diff (0-shot CoT, w/o code)

56.1

70

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

36

OpenMath-CodeLlama-7B (w/ code, SC, k=50)

55.6

7

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment", "majority voting" ]

37

MMOS-DeepSeekMath-7B (0-shot)

55

7

Yes

An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning

Yes

2,024

[]

38

DART-Math-Llama3-70B-Uniform (0-shot CoT, w/o code)

54.9

70

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

39

PHP (GPT-4 model)

53.9

null

No

Progressive-Hint Prompting Improves Reasoning in Large Language Models

Yes

2,023

[]

40

DART-Math-DSMath-7B-Prop2Diff (0-shot CoT, w/o code)

53.6

7

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

41

Gemini Ultra (4-shot)

53.2

null

No

Gemini: A Family of Highly Capable Multimodal Models

Yes

2,023

[]

42

DART-Math-DSMath-7B-Uniform (0-shot CoT, w/o code)

52.9

7

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

43

GPT-4 model (w/ code, PAL)

51.8

null

No

PAL: Program-aided Language Models

Yes

2,022

[ "code environment" ]

44

DeepSeekMATH-RL-7B (greedy decoding)

51.7

7

Yes

DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Yes

2,024

[]

45

AlphaLLM (with MCTS)

51

null

No

Toward Self-Improvement of LLMs via Imagination, Searching, and Criticizing

Yes

2,024

[]

46

ToRA-Code 34B (w/ code)

50.8

34

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "code environment", "gpt-4 distillation" ]

47

OpenMath-CodeLlama-70B (w/ code)

50.7

70

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

No

2,024

[ "code environment" ]

48

Minerva 540B (maj1@k, k=64)

50.3

null

No

Solving Quantitative Reasoning Problems with Language Models

Yes

2,022

[ "majority voting" ]

49

ToRA 70B (w/ code)

49.7

70

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "code environment", "gpt-4 distillation" ]

50

MMOS-CODE-34B (0-shot)

49.5

34

Yes

An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning

Yes

2,024

[]

51

DeepSeekMath-7B-KPMath-Plus

48.8

7

No

Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning

2,024

[]

52

PaLM 2 (few-shot, k=4, SC)

48.8

null

No

PaLM 2 Technical Report

Yes

No

2,023

[ "majority voting" ]

53

Llemma-34B-KPMath-Plus

48.6

34

No

Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning

2,024

[]

54

OpenMath-CodeLlama-34B (w/ code)

48.3

34

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

2,024

[ "code environment" ]

55

Shepherd + DeepSeek-67B (SFT on MetaMATH + PRM rerank, k=256)

48.1

67

Yes

Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations

Yes

No

2,023

[ "rerank" ]

56

ToRA-Code 13B (w/ code)

48.1

13

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "code environment", "gpt-4 distillation" ]

57

Minerva 8B (maj5@256)

47.6

8

No

Solving Quantitative Reasoning Problems with Language Models

Yes

2,022

[]

58

Mistral-7B-KPMath-Plus

46.8

7

Yes

Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning

2,024

[]

59

DART-Math-Llama3-8B-Prop2Diff (0-shot CoT, w/o code)

46.6

8

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

60

OpenMath-Llama2-70B (w/ code)

46.3

70

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

No

2,024

[]

61

OpenMath-CodeLlama-13B (w/ code)

45.5

13

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

No

2,024

[]

62

DART-Math-Mistral-7B-Prop2Diff (0-shot CoT, w/o code)

45.5

7

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

No

Yes

2,024

[]

63

DART-Math-Llama3-8B-Uniform (0-shot CoT, w/o code)

45.3

8

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

64

MathCoder-CL-34B

45.2

34

Yes

MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Yes

No

2,023

[]

65

MathCoder-L-34B

45.1

34

Yes

MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Yes

No

2,023

[]

66

MMIQC-72B

45

72

Yes

Augmenting Math Word Problems via Iterative Question Composing

Yes

2,024

[]

67

ToRA-Code 7B (w/ code)

44.6

7

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "code environment", "gpt-4 distillation" ]

68

OpenMath-Mistral-7B (w/ code)

44.5

7

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

No

2,024

[]

69

MMOS-CODE-7B (0-shot)

44.3

7

Yes

An Empirical Study of Data Ability Boundary in LLMs' Math Reasoning

Yes

2,024

[]

70

OpenMath-CodeLlama-7B (w/ code)

43.6

7

Yes

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Yes

No

2,024

[]

71

Shepherd+Mistral-7B (SFT on MetaMATH + PRM RL+ PRM rerank, k=256)

43.5

7

Yes

Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations

Yes

No

2,023

[ "rerank" ]

72

DART-Math-Mistral-7B-Uniform (0-shot CoT, w/o code)

43.5

7

Yes

DART-Math: Difficulty-Aware Rejection Tuning for Mathematical Problem-Solving

Yes

2,024

[]

73

Minerva 62B (maj1@k, k=64)

43.4

62

No

Solving Quantitative Reasoning Problems with Language Models

Yes

2,022

[ "majority voting" ]

74

ToRA 13B (w/ code)

43

13

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "code environment", "gpt-4 distillation" ]

75

GPT-4

42.5

null

No

Sparks of Artificial General Intelligence: Early experiments with GPT-4

Yes

2,023

[]

76

SFT-Mistral-7B

41.8

7

Yes

2,024

[]

77

Llama2-13B-KPMath-Plus

41

13

No

Key-Point-Driven Data Synthesis with its Enhancement on Mathematical Reasoning

2,024

[]

78

ToRA 7B (w/ code)

40.1

7

Yes

ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Yes

2,023

[ "code environment", "gpt-4 distillation" ]

79

MathCoder-CL-13B

35.9

13

Yes

MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Yes

No

2,023

[]

80

MuggleMATH-70B

35.6

70

Yes

MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning

Yes

No

2,023

[]

81

PaLM 2 (few-shot, k=4, CoT)

34.3

null

No

PaLM 2 Technical Report

Yes

No

2,023

[]

82

Minerva 540B

33.6

540

No

Solving Quantitative Reasoning Problems with Language Models

Yes

No

2,022

[]

83

Minerva 540B (5-shot)

33.6

540

No

Galactica: A Large Language Model for Science

Yes

No

2,022

[]

84

Shepherd + Mistral-7B (SFT on MetaMATH + PRM RL)

33

7

Yes

Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations

Yes

No

2,023

[]

85

WizardMath-7B-V1.1

33

7

Yes

WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct

Yes

No

2,023

[]

86

Gemini Pro (4-shot)

32.6

null

No

Gemini: A Family of Highly Capable Multimodal Models

Yes

2,023

[]

87

MuggleMATH-13B

30.7

13

Yes

MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning

Yes

No

2,023

[]

88

MathCoder-CL-7B

30.2

7

Yes

MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Yes

No

2,023

[]

89

MathCoder-L-13B

29.9

13

Yes

MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Yes

No

2,023

[]

90

Qwen2idae-16x14B (4-shot)

29.9

null

Yes

Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks

Yes

No

2,024

[]

91

OpenChat-3.5-1210 7B

28.9

7

No

OpenChat: Advancing Open-source Language Models with Mixed-Quality Data

Yes

No

2,023

[]

92

OpenChat-3.5 7B

28.6

7

No

OpenChat: Advancing Open-source Language Models with Mixed-Quality Data

Yes

No

2,023

[]

93

Mixtral 8x7B (maj@4)

28.4

null

No

Mixtral of Experts

Yes

2,024

[]

94

Minerva 62B (4-shot)

27.6

62

No

Solving Quantitative Reasoning Problems with Language Models

Yes

2,022

[]

95

MetaMath 70B

26

70

Yes

MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models

Yes

No

2,023

[ "fine-tuned" ]

96

MuggleMATH 7B

25.8

7

Yes

MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning

Yes

No

2,023

[]

97

Minerva 8B (maj1@k, k=64)

25.4

8

No

Solving Quantitative Reasoning Problems with Language Models

Yes

2,022

[ "majority voting" ]

98

MathCoder-L-7B

23.3

7

Yes

MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Yes

No

2,023

[]

99

WizardMath-70B-V1.0

22.7

70

Yes

WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct

Yes

No

2,023

[]

100

Camelidae-8×34B (4-shot)

22.6

null

Yes

Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks

Yes

No

2,024

[]