# Mathematical Reasoning on MATH 500 (Avg@4)

Source: [Mathematical Reasoning on MATH 500 (Avg@4)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math-500-avg-at-4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T05:36:32.298Z

Evaluation of model performance on the MATH 500 dataset for mathematical reasoning, specifically reporting the Avg@4 metric.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Mathematical Reasoning |
| Dataset (including any stated split) | MATH 500 |
| Metric | Avg@4 |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 30 of 30 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Avg@4](<https://www.sota2.com/research/sota/mathematical-reasoning-on-math-500-avg-at-4.md?metric=Avg%404>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Avg@4 | Result date | Report paper |
| --- | --- | --- | --- |
| GSPO + CBS | 83.1 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO + CBS\* | 79.65 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO | 79.2 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO + CBS | 78.25 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO + CBS\* | 77.85 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO | 77.65 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO | 77.55 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO + CBS | 77.45 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO + CBS\* | 77.45 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO + CBS\* | 76.85 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO + CBS\* | 76.3 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO | 76.15 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO + CBS | 76.05 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO + CBS | 75.85 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO + CBS\* | 75.55 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO | 75.05 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO + CBS | 74.45 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO | 73.7 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO + CBS\* | 67.5 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO | 65.95 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GSPO + CBS | 65.7 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO + CBS\* | 64.8 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO + CBS | 63.9 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO + CBS | 63.65 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO + CBS\* | 62.45 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| GRPO | 60.95 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| DAPO | 58.7 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| Base Model | 53.25 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| Base Model | 31.9 | Not recorded | 698abc26c97a0b3e3b5de3ed |
| Base Model | 29.1 | Not recorded | 698abc26c97a0b3e3b5de3ed |

### GSPO + CBS

Avg@4: 83.1. Result ID: 6998d8605698665ec43c459b.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### GSPO + CBS\*

Avg@4: 79.65. Result ID: 6998d8605698665ec43c459c.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### GSPO

Avg@4: 79.2. Result ID: 6998d8605698665ec43c459a.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a481e209131cea8231d.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### DAPO + CBS

Avg@4: 78.25. Result ID: 6998d8605698665ec43c4598.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### GSPO + CBS\*

Avg@4: 77.85. Result ID: 6998d8605698665ec43c4592.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### DAPO

Avg@4: 77.65. Result ID: 6998d8605698665ec43c4597.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### GSPO

Avg@4: 77.55. Result ID: 6998d8605698665ec43c4590.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a481e209131cea8231d.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### GRPO + CBS

Avg@4: 77.45. Result ID: 6998d8605698665ec43c4595.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### GRPO + CBS\*

Avg@4: 77.45. Result ID: 6998d8605698665ec43c4596.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### DAPO + CBS\*

Avg@4: 76.85. Result ID: 6998d8605698665ec43c4599.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### DAPO + CBS\*

Avg@4: 76.3. Result ID: 6998d8605698665ec43c458f.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### GRPO

Avg@4: 76.15. Result ID: 6998d8605698665ec43c4594.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### GSPO + CBS

Avg@4: 76.05. Result ID: 6998d8605698665ec43c4591.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### DAPO + CBS

Avg@4: 75.85. Result ID: 6998d8605698665ec43c458e.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### GRPO + CBS\*

Avg@4: 75.55. Result ID: 6998d8605698665ec43c458c.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### DAPO

Avg@4: 75.05. Result ID: 6998d8605698665ec43c458d.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### GRPO + CBS

Avg@4: 74.45. Result ID: 6998d8605698665ec43c458b.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### GRPO

Avg@4: 73.7. Result ID: 6998d8605698665ec43c458a.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### GSPO + CBS\*

Avg@4: 67.5. Result ID: 6998d8605698665ec43c4588.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### GSPO

Avg@4: 65.95. Result ID: 6998d8605698665ec43c4586.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a481e209131cea8231d.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### GSPO + CBS

Avg@4: 65.7. Result ID: 6998d8605698665ec43c4587.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### GRPO + CBS\*

Avg@4: 64.8. Result ID: 6998d8605698665ec43c4582.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### GRPO + CBS

Avg@4: 63.9. Result ID: 6998d8605698665ec43c4581.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### DAPO + CBS

Avg@4: 63.65. Result ID: 6998d8605698665ec43c4584.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### DAPO + CBS\*

Avg@4: 62.45. Result ID: 6998d8605698665ec43c4585.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### GRPO

Avg@4: 60.95. Result ID: 6998d8605698665ec43c4580.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73101e209131cea5a395.md>)

[Implementation](<https://github.com/deepseek-ai/DeepSeek-Math>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### DAPO

Avg@4: 58.7. Result ID: 6998d8605698665ec43c4583.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa78a81e209131cea79ac6.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

### Base Model

Avg@4: 53.25. Result ID: 6998d8605698665ec43c4593.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa788e1e209131cea79116.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-8B-Base"}. This record does not assert independent reproduction.

### Base Model

Avg@4: 31.9. Result ID: 6998d8605698665ec43c4589.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa788e1e209131cea79116.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-4B-Base"}. This record does not assert independent reproduction.

### Base Model

Avg@4: 29.1. Result ID: 6998d8605698665ec43c457f.

[Reporting paper](<https://www.sota2.com/research/paper/698abc26c97a0b3e3b5de3ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa788e1e209131cea79116.md>)

Recorded evaluation configuration: {"Backbone":"Qwen3-1.7B-Base"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
