mathematics_dataset / README.md
d0rj's picture
Update README.md
d9f78d0 verified
|
Raw
History Blame Contribute Delete
5.77 kB
metadata
dataset_info:
  features:
    - name: question
      dtype: string
    - name: answer
      dtype: string
    - name: category
      dtype: string
    - name: module
      dtype: string
  splits:
    - name: ru
      num_bytes: 2068198005
      num_examples: 12699944
    - name: en
      num_bytes: 13818553700
      num_examples: 112709888
  download_size: 4606972272
  dataset_size: 15886751705
configs:
  - config_name: default
    data_files:
      - split: ru
        path: data/ru-*
      - split: en
        path: data/en-*
license: apache-2.0
language:
  - en
  - ru
task_categories:
  - text-generation
  - question-answering
tags:
  - mathematics
  - synthetic
  - reasoning

Mathematical Reasoning Dataset (English & Russian)

Dataset Description

A bilingual collection of synthetic school-level mathematics questions and answers, based on the DeepMind mathematics_dataset generator.

This dataset contains two language splits:

  • en — the original English data, taken as-is from the official mathematics_dataset-v1.0 release published by Google DeepMind (github.com/google-deepmind/mathematics_dataset).
  • ru — a Russian version generated from scratch with a translated fork of the generator. It is not a translation of the English rows: all question templates were rewritten in Russian (with corrected grammar and noun/adjective declension), and the problems were sampled independently by the generator. Row-level pairing with the English data is not guaranteed.

Each split is a single table with a category column (difficulty / evaluation split) and a module column (mathematical topic).

Dataset structure

from datasets import load_dataset

ds = load_dataset("your-username/math-dataset-bilingual")

# ds["en"] and ds["ru"] are Dataset objects with the same columns:
#   question : str   — the math problem
#   answer   : str   — the expected answer
#   category : str   — train-easy | train-medium | train-hard | interpolate | extrapolate
#   module   : str   — e.g. algebra__linear_1d, arithmetic__add_or_sub, measurement__conversion
#   language : str   — en | ru

Row counts

Split Rows
en 112,709,888
ru 12,699,944

The English split is the full official release (~2M generated examples per train module); the Russian split was generated with --per_train_module=1000000 --per_test_module=1000000 --seed=42, hence roughly 10× smaller.

Example row (English)

{
  "question": "Let 2*a**5 + 15648*a**4 - 5632498*a**3 + 172753368*a**2 + 189729080*a - 356865600 = 0. Calculate a.",
  "answer": "-8170, -2, 1, 35, 312",
  "category": "extrapolate",
  "module": "algebra__polynomial_roots_big",
  "language": "en"
}

Example row (Russian)

{
  "question": "Пусть 2*a**5 + 15648*a**4 - 5632498*a**3 + 172753368*a**2 + 189729080*a - 356865600 = 0. Чему равно a?",
  "answer": "-8170, -2, 1, 35, 312",
  "category": "extrapolate",
  "module": "algebra__polynomial_roots_big",
  "language": "ru"
}

Splits and categories

Category Content
train-easy Easier training examples
train-medium Medium-difficulty training examples
train-hard Harder training examples
interpolate In-distribution test examples
extrapolate Out-of-distribution / extrapolation test examples

The dataset covers 70 task modules: algebra, arithmetic, calculus, comparison, conversion, divisibility, gcd/lcm, geometry, measurement, numbers, polynomials, probability.

You can filter by category or module directly with the datasets library:

# Russian training examples only
ru_train = ds["ru"].filter(lambda row: row["category"].startswith("train"))

# English algebra only
en_algebra = ds["en"].filter(lambda row: row["module"].startswith("algebra__"))

# A specific module across both languages
from datasets import concatenate_datasets

measurement = concatenate_datasets([
    ds["ru"].filter(lambda row: row["module"] == "measurement__conversion"),
    ds["en"].filter(lambda row: row["module"] == "measurement__conversion"),
])

How the dataset was built

  1. English data — extracted unmodified from the official release archive mathematics_dataset-v1.0.tar.gz distributed with the google-deepmind/mathematics_dataset repository.
  2. Russian data — generated from scratch with a fork of the same repository in which every question template, unit name and textual fragment was rewritten in Russian (including grammatically correct declensions, e.g. in unit conversions). The generator was then run with --per_train_module=1000000 --per_test_module=1000000 --seed=42 to sample an entirely new Russian dataset. No machine translation of the English rows was used.
  3. Conversion — raw text files (alternating question/answer lines, one file per {category}/{module}) were parsed, paired, and annotated with category, module and language columns.

Citation

If you use this dataset, please cite the original paper:

@inproceedings{saxton2019analysing,
  title={Analysing Mathematical Reasoning Abilities of Neural Models},
  author={Saxton, David and Grefenstette, Edward and Hill, Felix and Kohli, Pushmeet},
  booktitle={International Conference on Learning Representations},
  year={2019}
}

License

Apache License 2.0 (same as the original DeepMind repository).