# Mathematical Reasoning on Minerva-Math (Last, Best)

Source: [Mathematical Reasoning on Minerva-Math (Last, Best)](<https://www.sota2.com/research/sota/mathematical-reasoning-on-minerva-math-last-best>)

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

Data updated: 2026-04-08T07:16:31.733Z

Evaluation of model performance on mathematical reasoning tasks using the Minerva-Math dataset, reporting the 'Last' and 'Best' observed scores.

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) | Minerva-Math |
| Metric | Last Score |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 17 of 17 |
| 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

- [Last Score](<https://www.sota2.com/research/sota/mathematical-reasoning-on-minerva-math-last-best.md?metric=Last%20Score>): Higher is better; unit: SCALAR.

- [Best Score](<https://www.sota2.com/research/sota/mathematical-reasoning-on-minerva-math-last-best.md?metric=Best%20Score>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Last Score | Result date | Report paper |
| --- | --- | --- | --- |
| HT-MNPO | 49.63 | Not recorded | 68fa7bb81e209131cea8a23e |
| HT-MNPO | 47.79 | Not recorded | 68fa7bb81e209131cea8a23e |
| SPPO | 47.43 | Not recorded | 68fa7bb81e209131cea8a23e |
| HT-MNPO | 47.06 | Not recorded | 68fa7bb81e209131cea8a23e |
| INPO | 46.32 | Not recorded | 68fa7bb81e209131cea8a23e |
| DPO | 45.96 | Not recorded | 68fa7bb81e209131cea8a23e |
| TD-MNPO | 44.85 | Not recorded | 68fa7bb81e209131cea8a23e |
| SFT Model | 44.12 | Not recorded | 68fa7bb81e209131cea8a23e |
| SimPO | 43.38 | Not recorded | 68fa7bb81e209131cea8a23e |
| REINFORCE++ | 0.1691 | Not recorded | 68fa7ba21e209131cea897d4 |
| RPG-URKL | 0.1654 | Not recorded | 68fa7ba21e209131cea897d4 |
| RPG-UFKL | 0.1397 | Not recorded | 68fa7ba21e209131cea897d4 |
| RPG-REINFORCE-UFKL | 0.136 | Not recorded | 68fa7ba21e209131cea897d4 |
| REINFORCE++-Baseline | 0.125 | Not recorded | 68fa7ba21e209131cea897d4 |
| RPG-REINFORCE-URKL | 0.114 | Not recorded | 68fa7ba21e209131cea897d4 |
| GRPO | 0.1029 | Not recorded | 68fa7ba21e209131cea897d4 |
| DAPO | 0.0993 | Not recorded | 68fa7ba21e209131cea897d4 |

### HT-MNPO

Last Score: 49.63. Result ID: 69d600c747f34ce924be22f6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

Recorded evaluation configuration: {"Reward Model":"Skywork-Reward-V2"}. This record does not assert independent reproduction.

### HT-MNPO

Last Score: 47.79. Result ID: 69d600c747f34ce924be22f5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

Recorded evaluation configuration: {"Reward Model":"ArmoRM-Llama3"}. This record does not assert independent reproduction.

### SPPO

Last Score: 47.43. Result ID: 69d600c747f34ce924be22f2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75121e209131cea657f2.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### HT-MNPO

Last Score: 47.06. Result ID: 69d600c747f34ce924be22f7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

Recorded evaluation configuration: {"Reward Model":"Athene-RM-8B"}. This record does not assert independent reproduction.

### INPO

Last Score: 46.32. Result ID: 69d600c747f34ce924be22f3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa773e1e209131cea71ee0.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### DPO

Last Score: 45.96. Result ID: 69d600c747f34ce924be22f0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa74511e209131cea6105d.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### TD-MNPO

Last Score: 44.85. Result ID: 69d600c747f34ce924be22f4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### SFT Model

Last Score: 44.12. Result ID: 69d600c747f34ce924be22ef.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### SimPO

Last Score: 43.38. Result ID: 69d600c747f34ce924be22f1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb81e209131cea8a23e.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75901e209131cea68a5e.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### REINFORCE++

Last Score: 0.1691. Result ID: 699af90a5698665ec48a835e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a631e209131cea82d06.md>)

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### RPG-URKL

Last Score: 0.1654. Result ID: 699af90a5698665ec48a8362.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### RPG-UFKL

Last Score: 0.1397. Result ID: 699af90a5698665ec48a8361.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### RPG-REINFORCE-UFKL

Last Score: 0.136. Result ID: 699af90a5698665ec48a8363.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### REINFORCE++-Baseline

Last Score: 0.125. Result ID: 699af90a5698665ec48a835d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7a631e209131cea82d06.md>)

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### RPG-REINFORCE-URKL

Last Score: 0.114. Result ID: 699af90a5698665ec48a8364.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### GRPO

Last Score: 0.1029. Result ID: 699af90a5698665ec48a835f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

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

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

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

### DAPO

Last Score: 0.0993. Result ID: 699af90a5698665ec48a8360.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7ba21e209131cea897d4.md>)

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

Recorded evaluation configuration: {"Context Length":"4k","Base Model":"Qwen-2.5-7B-Instruct"}. This record does not assert independent reproduction.

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