| --- |
| license: other |
| license_name: cc-by-4.0-and-cc-by-sa-4.0 |
| license_link: https://huggingface.co/datasets/nvidia/Nemotron-Math-v2 |
| task_categories: |
| - text-generation |
| tags: |
| - math |
| - reasoning |
| - rl |
| size_categories: |
| - 10K<n<100K |
| --- |
| |
| # Nemotron-Math-v2-10k |
|
|
| 10,000 machine-verifiable, mid-to-hard math problems subsampled from |
| [nvidia/Nemotron-Math-v2](https://huggingface.co/datasets/nvidia/Nemotron-Math-v2), each with all |
| stored gpt-oss-120b **high-reasoning, no-tool** solution traces. Built for RL training |
| (verifiable final answers) with a teacher-trace column for SFT distillation / analysis. |
|
|
| ## How it was made (seed 42 throughout) |
|
|
| 1. **Dedupe**: scanned all 5 splits (`high_part00-02`, `medium`, `low`), deduped rows by |
| `md5(problem)` → 324,233 unique problems. |
| 2. **Verifiable-answer filter**: kept problems whose `expected_answer` passes tier ≤ 2 of a |
| whitelist filter (`answer_filter.py` in the scale `models` repo, |
| `tmp/scalar-ppo/docs-ppo/scripts/`): tier 1 = plain number, tier 2 = short closed-form |
| (whitelisted LaTeX commands, single-letter variables, ≤ 40 chars, no `\text`/`\sum`/ |
| matrices/relations). This removes answer shapes that `math_verify`-style graders can't |
| check reliably (67% of raw Nemotron answers fail it). |
| 3. **Difficulty buckets**: bucketed by `metadata.reason_high_no_tool.pass` — how many of the 8 |
| gpt-oss-120b attempts (high reasoning, no tools) were verified correct. Kept buckets |
| **4, 5, 6, 7** (mid-to-hard band; excludes both never-solved and saturated problems). |
| Tier≤2 pool sizes: {4: 7796, 5: 8483, 6: 9481, 7: 12744}. |
| 4. **Sample**: 2,500 random problems per bucket = 10,000. |
| 5. **Teacher traces**: for each problem, collected every stored row from the `high_part*` |
| splits with `tools == []` (high-reasoning no-tool generations) and kept the **distinct** |
| `messages` payloads (first-seen order) in `traces_high_no_tool`. Note the source release |
| heavily duplicates payloads — a problem's no-tool row count tracks its pass statistics, |
| but those rows carry only 1..pass distinct solutions (byte-identical repeats otherwise). |
| Distinct-trace distribution over the 10k: 1 traces: 6818 · 2 traces: 172 · 3 traces: 379 · 4 traces: 738 · 5 traces: 731 · 6 traces: 643 · 7 traces: 458 · 8 traces: 11 · 9 traces: 10 · 10 traces: 9 · 11 traces: 9 · 12 traces: 7 · 13 traces: 4 · 14 traces: 8 · 15 traces: 2 · 18 traces: 1 |
| (9914/10000 problems have `n_traces <= pass_bucket`). |
| 6. **Split**: shuffled, first 200 → `validation`, remaining 9,800 → `train` |
| (validation bucket mix: {4: 38, 5: 58, 6: 44, 7: 60}). |
|
|
| ## Trace caveats |
|
|
| - Traces were verified by NVIDIA's pipeline, not ours. In a 150-problem spot check with a |
| strict `$`-wrapped `math_verify` against `expected_answer`, **~77% of distinct traces' |
| final `\boxed{}` answers verify**; the rest are mostly verbose boxed formats |
| (`\text{...}` prose, approximations like `n \approx 9.4456`) rather than wrong math. |
| Re-filter per-trace if you need strict-format SFT targets. |
| - Every trace ends with a `\boxed{}` answer (0 missing in the spot check). |
|
|
| ## Columns |
|
|
| | column | description | |
| |---|---| |
| | `problem` | problem statement (LaTeX) | |
| | `expected_answer` | verified final answer (majority-vote corrected where flagged) | |
| | `original_expected_answer` | pre-correction answer (differs only when `changed_answer_to_majority`) | |
| | `changed_answer_to_majority` | whether NVIDIA replaced the reference answer by majority vote | |
| | `pass_bucket` | gpt-oss-120b high-reasoning no-tool pass count (of 8) — 4..7 | |
| | `answer_tier` | 1 = plain number, 2 = closed-form expression | |
| | `data_source` | `aops` or `stackflow` | |
| | `license` | per-row source license (cc-by-4.0 for AoPS, cc-by-sa-4.0 for StackExchange) | |
| | `url`, `user_name`, `user_url` | StackExchange attribution (null for AoPS) | |
| | `metadata` | JSON: pass/count/accuracy for all 6 (reasoning × tool) teacher configs | |
| | `traces_high_no_tool` | list of JSON message arrays — all **distinct** stored high-reasoning no-tool teacher traces (`[user, assistant]`; `reasoning_content` = thinking, `content` = final answer with `\boxed{}`) | |
| | `n_traces` | `len(traces_high_no_tool)` (distinct payloads) | |
|
|
| ## License / attribution |
|
|
| Derived from [nvidia/Nemotron-Math-v2](https://huggingface.co/datasets/nvidia/Nemotron-Math-v2) |
| (gpt-oss-120b generations). AoPS-sourced rows are CC-BY-4.0; StackExchange-sourced rows are |
| CC-BY-SA-4.0 with per-row attribution in `url`/`user_name`/`user_url`. See the per-row |
| `license` column. |
|
|
