Hugging Face's logo

Datasets:
deepmind
/
math_dataset

Languages:
English
ArXiv:
Dataset card Files Community
5
math_dataset / README.md
albertvillanova's picture
albertvillanova HF staff
Convert dataset sizes from base 2 to base 10 in the dataset card (#1)
4212f9a
preview code
|
raw
history blame contribute delete
24.8 kB
metadata
pretty_name: Mathematics Dataset
language:
  - en
paperswithcode_id: mathematics
dataset_info:
  - config_name: algebra__linear_1d
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 516405
        num_examples: 10000
      - name: train
        num_bytes: 92086245
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 92602650
  - config_name: algebra__linear_1d_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1018090
        num_examples: 10000
      - name: train
        num_bytes: 199566926
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 200585016
  - config_name: algebra__linear_2d
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 666095
        num_examples: 10000
      - name: train
        num_bytes: 126743526
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 127409621
  - config_name: algebra__linear_2d_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1184664
        num_examples: 10000
      - name: train
        num_bytes: 234405885
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 235590549
  - config_name: algebra__polynomial_roots
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 868630
        num_examples: 10000
      - name: train
        num_bytes: 163134199
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 164002829
  - config_name: algebra__polynomial_roots_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1281321
        num_examples: 10000
      - name: train
        num_bytes: 251435312
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 252716633
  - config_name: algebra__sequence_next_term
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 752459
        num_examples: 10000
      - name: train
        num_bytes: 138735194
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 139487653
  - config_name: algebra__sequence_nth_term
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 947764
        num_examples: 10000
      - name: train
        num_bytes: 175945643
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 176893407
  - config_name: arithmetic__add_or_sub
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 483725
        num_examples: 10000
      - name: train
        num_bytes: 89690356
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 90174081
  - config_name: arithmetic__add_or_sub_in_base
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 502221
        num_examples: 10000
      - name: train
        num_bytes: 93779137
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 94281358
  - config_name: arithmetic__add_sub_multiple
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 498421
        num_examples: 10000
      - name: train
        num_bytes: 90962782
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 91461203
  - config_name: arithmetic__div
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 421520
        num_examples: 10000
      - name: train
        num_bytes: 78417908
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 78839428
  - config_name: arithmetic__mixed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 513364
        num_examples: 10000
      - name: train
        num_bytes: 93989009
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 94502373
  - config_name: arithmetic__mul
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 394004
        num_examples: 10000
      - name: train
        num_bytes: 73499093
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 73893097
  - config_name: arithmetic__mul_div_multiple
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 497308
        num_examples: 10000
      - name: train
        num_bytes: 91406689
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 91903997
  - config_name: arithmetic__nearest_integer_root
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 705630
        num_examples: 10000
      - name: train
        num_bytes: 137771237
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 138476867
  - config_name: arithmetic__simplify_surd
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1261753
        num_examples: 10000
      - name: train
        num_bytes: 207753790
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 209015543
  - config_name: calculus__differentiate
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1025947
        num_examples: 10000
      - name: train
        num_bytes: 199013993
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 200039940
  - config_name: calculus__differentiate_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1343416
        num_examples: 10000
      - name: train
        num_bytes: 263757570
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 265100986
  - config_name: comparison__closest
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 681229
        num_examples: 10000
      - name: train
        num_bytes: 132274822
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 132956051
  - config_name: comparison__closest_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1071089
        num_examples: 10000
      - name: train
        num_bytes: 210658152
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 211729241
  - config_name: comparison__kth_biggest
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 797185
        num_examples: 10000
      - name: train
        num_bytes: 149077463
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 149874648
  - config_name: comparison__kth_biggest_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1144556
        num_examples: 10000
      - name: train
        num_bytes: 221547532
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 222692088
  - config_name: comparison__pair
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 452528
        num_examples: 10000
      - name: train
        num_bytes: 85707543
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 86160071
  - config_name: comparison__pair_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 946187
        num_examples: 10000
      - name: train
        num_bytes: 184702998
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 185649185
  - config_name: comparison__sort
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 712498
        num_examples: 10000
      - name: train
        num_bytes: 131752705
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 132465203
  - config_name: comparison__sort_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1114257
        num_examples: 10000
      - name: train
        num_bytes: 213871896
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 214986153
  - config_name: measurement__conversion
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 592904
        num_examples: 10000
      - name: train
        num_bytes: 118650852
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 119243756
  - config_name: measurement__time
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 584278
        num_examples: 10000
      - name: train
        num_bytes: 116962599
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 117546877
  - config_name: numbers__base_conversion
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 490881
        num_examples: 10000
      - name: train
        num_bytes: 90363333
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 90854214
  - config_name: numbers__div_remainder
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 644523
        num_examples: 10000
      - name: train
        num_bytes: 125046212
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 125690735
  - config_name: numbers__div_remainder_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1151347
        num_examples: 10000
      - name: train
        num_bytes: 226341870
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 227493217
  - config_name: numbers__gcd
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 659492
        num_examples: 10000
      - name: train
        num_bytes: 127914889
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 128574381
  - config_name: numbers__gcd_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1206805
        num_examples: 10000
      - name: train
        num_bytes: 237534189
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 238740994
  - config_name: numbers__is_factor
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 396129
        num_examples: 10000
      - name: train
        num_bytes: 75875988
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 76272117
  - config_name: numbers__is_factor_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 949828
        num_examples: 10000
      - name: train
        num_bytes: 185369842
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 186319670
  - config_name: numbers__is_prime
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 385749
        num_examples: 10000
      - name: train
        num_bytes: 73983639
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 74369388
  - config_name: numbers__is_prime_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 947888
        num_examples: 10000
      - name: train
        num_bytes: 184808483
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 185756371
  - config_name: numbers__lcm
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 717978
        num_examples: 10000
      - name: train
        num_bytes: 136826050
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 137544028
  - config_name: numbers__lcm_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1127744
        num_examples: 10000
      - name: train
        num_bytes: 221148668
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 222276412
  - config_name: numbers__list_prime_factors
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 585749
        num_examples: 10000
      - name: train
        num_bytes: 109982816
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 110568565
  - config_name: numbers__list_prime_factors_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1053510
        num_examples: 10000
      - name: train
        num_bytes: 205379513
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 206433023
  - config_name: numbers__place_value
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 496977
        num_examples: 10000
      - name: train
        num_bytes: 95180091
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 95677068
  - config_name: numbers__place_value_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1011130
        num_examples: 10000
      - name: train
        num_bytes: 197187918
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 198199048
  - config_name: numbers__round_number
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 570636
        num_examples: 10000
      - name: train
        num_bytes: 111472483
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 112043119
  - config_name: numbers__round_number_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1016754
        num_examples: 10000
      - name: train
        num_bytes: 201057283
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 202074037
  - config_name: polynomials__add
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1308455
        num_examples: 10000
      - name: train
        num_bytes: 257576092
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 258884547
  - config_name: polynomials__coefficient_named
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1137226
        num_examples: 10000
      - name: train
        num_bytes: 219716251
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 220853477
  - config_name: polynomials__collect
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 774709
        num_examples: 10000
      - name: train
        num_bytes: 143743260
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 144517969
  - config_name: polynomials__compose
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1209763
        num_examples: 10000
      - name: train
        num_bytes: 233651887
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 234861650
  - config_name: polynomials__evaluate
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 599446
        num_examples: 10000
      - name: train
        num_bytes: 114538250
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 115137696
  - config_name: polynomials__evaluate_composed
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1148362
        num_examples: 10000
      - name: train
        num_bytes: 226022455
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 227170817
  - config_name: polynomials__expand
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1057353
        num_examples: 10000
      - name: train
        num_bytes: 202338235
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 203395588
  - config_name: polynomials__simplify_power
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1248040
        num_examples: 10000
      - name: train
        num_bytes: 216407582
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 217655622
  - config_name: probability__swr_p_level_set
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1159050
        num_examples: 10000
      - name: train
        num_bytes: 227540179
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 228699229
  - config_name: probability__swr_p_sequence
    features:
      - name: question
        dtype: string
      - name: answer
        dtype: string
    splits:
      - name: test
        num_bytes: 1097442
        num_examples: 10000
      - name: train
        num_bytes: 215865725
        num_examples: 1999998
    download_size: 2333082954
    dataset_size: 216963167

Dataset Card for "math_dataset"

Table of Contents

Dataset Description

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.