README.md

metadata

language:
  - en
paperswithcode_id: mathematics
pretty_name: Mathematics Dataset
dataset_info:
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  - config_name: arithmetic__add_or_sub
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  - config_name: arithmetic__div
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  - config_name: arithmetic__mul
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  - config_name: arithmetic__nearest_integer_root
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  - config_name: arithmetic__simplify_surd
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  - config_name: calculus__differentiate
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  - config_name: comparison__closest
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  - config_name: comparison__kth_biggest_composed
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  - config_name: comparison__pair
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  - config_name: comparison__pair_composed
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  - config_name: comparison__sort
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  - config_name: measurement__conversion
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  - config_name: measurement__time
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  - config_name: numbers__base_conversion
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  - config_name: numbers__div_remainder
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  - config_name: numbers__gcd
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  - config_name: numbers__gcd_composed
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  - config_name: numbers__is_factor
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  - config_name: numbers__is_factor_composed
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  - config_name: numbers__is_prime
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  - config_name: numbers__is_prime_composed
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  - config_name: numbers__lcm
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  - config_name: numbers__lcm_composed
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  - config_name: numbers__list_prime_factors
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  - config_name: numbers__list_prime_factors_composed
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  - config_name: numbers__place_value
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  - config_name: numbers__place_value_composed
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  - config_name: numbers__round_number
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  - config_name: numbers__round_number_composed
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  - config_name: polynomials__add
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  - config_name: polynomials__coefficient_named
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  - config_name: polynomials__collect
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  - config_name: polynomials__compose
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  - config_name: polynomials__evaluate
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  - config_name: polynomials__evaluate_composed
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  - config_name: polynomials__expand
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  - config_name: polynomials__simplify_power
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  - config_name: probability__swr_p_level_set
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  - config_name: probability__swr_p_sequence
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configs:
  - config_name: algebra__linear_1d
    data_files:
      - split: train
        path: algebra__linear_1d/train-*
      - split: test
        path: algebra__linear_1d/test-*
  - config_name: algebra__linear_1d_composed
    data_files:
      - split: train
        path: algebra__linear_1d_composed/train-*
      - split: test
        path: algebra__linear_1d_composed/test-*
  - config_name: algebra__linear_2d
    data_files:
      - split: train
        path: algebra__linear_2d/train-*
      - split: test
        path: algebra__linear_2d/test-*
  - config_name: algebra__linear_2d_composed
    data_files:
      - split: train
        path: algebra__linear_2d_composed/train-*
      - split: test
        path: algebra__linear_2d_composed/test-*
  - config_name: algebra__polynomial_roots
    data_files:
      - split: train
        path: algebra__polynomial_roots/train-*
      - split: test
        path: algebra__polynomial_roots/test-*
  - config_name: algebra__polynomial_roots_composed
    data_files:
      - split: train
        path: algebra__polynomial_roots_composed/train-*
      - split: test
        path: algebra__polynomial_roots_composed/test-*
  - config_name: algebra__sequence_next_term
    data_files:
      - split: train
        path: algebra__sequence_next_term/train-*
      - split: test
        path: algebra__sequence_next_term/test-*
  - config_name: algebra__sequence_nth_term
    data_files:
      - split: train
        path: algebra__sequence_nth_term/train-*
      - split: test
        path: algebra__sequence_nth_term/test-*
  - config_name: arithmetic__add_or_sub
    data_files:
      - split: train
        path: arithmetic__add_or_sub/train-*
      - split: test
        path: arithmetic__add_or_sub/test-*
  - config_name: arithmetic__add_or_sub_in_base
    data_files:
      - split: train
        path: arithmetic__add_or_sub_in_base/train-*
      - split: test
        path: arithmetic__add_or_sub_in_base/test-*
  - config_name: arithmetic__add_sub_multiple
    data_files:
      - split: train
        path: arithmetic__add_sub_multiple/train-*
      - split: test
        path: arithmetic__add_sub_multiple/test-*
  - config_name: arithmetic__div
    data_files:
      - split: train
        path: arithmetic__div/train-*
      - split: test
        path: arithmetic__div/test-*
  - config_name: arithmetic__mixed
    data_files:
      - split: train
        path: arithmetic__mixed/train-*
      - split: test
        path: arithmetic__mixed/test-*
  - config_name: arithmetic__mul
    data_files:
      - split: train
        path: arithmetic__mul/train-*
      - split: test
        path: arithmetic__mul/test-*
  - config_name: arithmetic__mul_div_multiple
    data_files:
      - split: train
        path: arithmetic__mul_div_multiple/train-*
      - split: test
        path: arithmetic__mul_div_multiple/test-*
  - config_name: arithmetic__nearest_integer_root
    data_files:
      - split: train
        path: arithmetic__nearest_integer_root/train-*
      - split: test
        path: arithmetic__nearest_integer_root/test-*
  - config_name: arithmetic__simplify_surd
    data_files:
      - split: train
        path: arithmetic__simplify_surd/train-*
      - split: test
        path: arithmetic__simplify_surd/test-*
  - config_name: calculus__differentiate
    data_files:
      - split: train
        path: calculus__differentiate/train-*
      - split: test
        path: calculus__differentiate/test-*
  - config_name: calculus__differentiate_composed
    data_files:
      - split: train
        path: calculus__differentiate_composed/train-*
      - split: test
        path: calculus__differentiate_composed/test-*
  - config_name: comparison__closest
    data_files:
      - split: train
        path: comparison__closest/train-*
      - split: test
        path: comparison__closest/test-*
  - config_name: comparison__closest_composed
    data_files:
      - split: train
        path: comparison__closest_composed/train-*
      - split: test
        path: comparison__closest_composed/test-*
  - config_name: comparison__kth_biggest
    data_files:
      - split: train
        path: comparison__kth_biggest/train-*
      - split: test
        path: comparison__kth_biggest/test-*
  - config_name: comparison__kth_biggest_composed
    data_files:
      - split: train
        path: comparison__kth_biggest_composed/train-*
      - split: test
        path: comparison__kth_biggest_composed/test-*
  - config_name: comparison__pair
    data_files:
      - split: train
        path: comparison__pair/train-*
      - split: test
        path: comparison__pair/test-*
  - config_name: comparison__pair_composed
    data_files:
      - split: train
        path: comparison__pair_composed/train-*
      - split: test
        path: comparison__pair_composed/test-*
  - config_name: comparison__sort
    data_files:
      - split: train
        path: comparison__sort/train-*
      - split: test
        path: comparison__sort/test-*
  - config_name: comparison__sort_composed
    data_files:
      - split: train
        path: comparison__sort_composed/train-*
      - split: test
        path: comparison__sort_composed/test-*
  - config_name: measurement__conversion
    data_files:
      - split: train
        path: measurement__conversion/train-*
      - split: test
        path: measurement__conversion/test-*
  - config_name: measurement__time
    data_files:
      - split: train
        path: measurement__time/train-*
      - split: test
        path: measurement__time/test-*
  - config_name: numbers__base_conversion
    data_files:
      - split: train
        path: numbers__base_conversion/train-*
      - split: test
        path: numbers__base_conversion/test-*
  - config_name: numbers__div_remainder
    data_files:
      - split: train
        path: numbers__div_remainder/train-*
      - split: test
        path: numbers__div_remainder/test-*
  - config_name: numbers__div_remainder_composed
    data_files:
      - split: train
        path: numbers__div_remainder_composed/train-*
      - split: test
        path: numbers__div_remainder_composed/test-*
  - config_name: numbers__gcd
    data_files:
      - split: train
        path: numbers__gcd/train-*
      - split: test
        path: numbers__gcd/test-*
  - config_name: numbers__gcd_composed
    data_files:
      - split: train
        path: numbers__gcd_composed/train-*
      - split: test
        path: numbers__gcd_composed/test-*
  - config_name: numbers__is_factor
    data_files:
      - split: train
        path: numbers__is_factor/train-*
      - split: test
        path: numbers__is_factor/test-*
  - config_name: numbers__is_factor_composed
    data_files:
      - split: train
        path: numbers__is_factor_composed/train-*
      - split: test
        path: numbers__is_factor_composed/test-*
  - config_name: numbers__is_prime
    data_files:
      - split: train
        path: numbers__is_prime/train-*
      - split: test
        path: numbers__is_prime/test-*
  - config_name: numbers__is_prime_composed
    data_files:
      - split: train
        path: numbers__is_prime_composed/train-*
      - split: test
        path: numbers__is_prime_composed/test-*
  - config_name: numbers__lcm
    data_files:
      - split: train
        path: numbers__lcm/train-*
      - split: test
        path: numbers__lcm/test-*
  - config_name: numbers__lcm_composed
    data_files:
      - split: train
        path: numbers__lcm_composed/train-*
      - split: test
        path: numbers__lcm_composed/test-*
  - config_name: numbers__list_prime_factors
    data_files:
      - split: train
        path: numbers__list_prime_factors/train-*
      - split: test
        path: numbers__list_prime_factors/test-*
  - config_name: numbers__list_prime_factors_composed
    data_files:
      - split: train
        path: numbers__list_prime_factors_composed/train-*
      - split: test
        path: numbers__list_prime_factors_composed/test-*
  - config_name: numbers__place_value
    data_files:
      - split: train
        path: numbers__place_value/train-*
      - split: test
        path: numbers__place_value/test-*
  - config_name: numbers__place_value_composed
    data_files:
      - split: train
        path: numbers__place_value_composed/train-*
      - split: test
        path: numbers__place_value_composed/test-*
  - config_name: numbers__round_number
    data_files:
      - split: train
        path: numbers__round_number/train-*
      - split: test
        path: numbers__round_number/test-*
  - config_name: numbers__round_number_composed
    data_files:
      - split: train
        path: numbers__round_number_composed/train-*
      - split: test
        path: numbers__round_number_composed/test-*
  - config_name: polynomials__add
    data_files:
      - split: train
        path: polynomials__add/train-*
      - split: test
        path: polynomials__add/test-*

Dataset Card for "math_dataset"

Table of Contents

• Dataset Description
  • Dataset Summary
  • Supported Tasks and Leaderboards
  • Languages
• Dataset Structure
  • Data Instances
  • Data Fields
  • Data Splits
• Dataset Creation
  • Curation Rationale
  • Source Data
  • Annotations
  • Personal and Sensitive Information
• Considerations for Using the Data
  • Social Impact of Dataset
  • Discussion of Biases
  • Other Known Limitations
• Additional Information
  • Dataset Curators
  • Licensing Information
  • Citation Information
  • Contributions

Dataset Description

• Homepage: https://github.com/deepmind/mathematics_dataset
• Repository: More Information Needed
• Paper: More Information Needed
• Point of Contact: More Information Needed
• Size of downloaded dataset files: 130.65 GB
• Size of the generated dataset: 9.08 GB
• Total amount of disk used: 139.73 GB

Dataset Summary

Mathematics database.

This dataset code generates mathematical question and answer pairs, from a range of question types at roughly school-level difficulty. This is designed to test the mathematical learning and algebraic reasoning skills of learning models.

Original paper: Analysing Mathematical Reasoning Abilities of Neural Models (Saxton, Grefenstette, Hill, Kohli).

Example usage: train_examples, val_examples = datasets.load_dataset( 'math_dataset/arithmetic__mul', split=['train', 'test'], as_supervised=True)

Supported Tasks and Leaderboards

More Information Needed

Languages

More Information Needed

Dataset Structure

Data Instances

algebra__linear_1d

• Size of downloaded dataset files: 2.33 GB
• Size of the generated dataset: 92.60 MB
• Total amount of disk used: 2.43 GB

An example of 'train' looks as follows.

algebra__linear_1d_composed

• Size of downloaded dataset files: 2.33 GB
• Size of the generated dataset: 200.58 MB
• Total amount of disk used: 2.53 GB

An example of 'train' looks as follows.

algebra__linear_2d

• Size of downloaded dataset files: 2.33 GB
• Size of the generated dataset: 127.41 MB
• Total amount of disk used: 2.46 GB

An example of 'train' looks as follows.

algebra__linear_2d_composed

• Size of downloaded dataset files: 2.33 GB
• Size of the generated dataset: 235.59 MB
• Total amount of disk used: 2.57 GB

An example of 'train' looks as follows.

algebra__polynomial_roots

• Size of downloaded dataset files: 2.33 GB
• Size of the generated dataset: 164.01 MB
• Total amount of disk used: 2.50 GB

An example of 'train' looks as follows.

Data Fields

The data fields are the same among all splits.

algebra__linear_1d

• question: a string feature.
• answer: a string feature.

algebra__linear_1d_composed

• question: a string feature.
• answer: a string feature.

algebra__linear_2d

• question: a string feature.
• answer: a string feature.

algebra__linear_2d_composed

• question: a string feature.
• answer: a string feature.

algebra__polynomial_roots

• question: a string feature.
• answer: a string feature.

Data Splits

name	train	test
algebra__linear_1d	1999998	10000
algebra__linear_1d_composed	1999998	10000
algebra__linear_2d	1999998	10000
algebra__linear_2d_composed	1999998	10000
algebra__polynomial_roots	1999998	10000

Dataset Creation

Curation Rationale

More Information Needed

Source Data

Initial Data Collection and Normalization

More Information Needed

Who are the source language producers?

More Information Needed

Annotations

Annotation process

More Information Needed

Who are the annotators?

More Information Needed

Personal and Sensitive Information

More Information Needed

Considerations for Using the Data

Social Impact of Dataset

More Information Needed

Discussion of Biases

More Information Needed

Other Known Limitations

More Information Needed

Additional Information

Dataset Curators

More Information Needed

Licensing Information

More Information Needed

Citation Information

@article{2019arXiv,
  author = {Saxton, Grefenstette, Hill, Kohli},
  title = {Analysing Mathematical Reasoning Abilities of Neural Models},
  year = {2019},
  journal = {arXiv:1904.01557}
}

Contributions

Thanks to @patrickvonplaten, @lewtun, @thomwolf for adding this dataset.