--- 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-description) - [Dataset Summary](#dataset-summary) - [Supported Tasks and Leaderboards](#supported-tasks-and-leaderboards) - [Languages](#languages) - [Dataset Structure](#dataset-structure) - [Data Instances](#data-instances) - [Data Fields](#data-fields) - [Data Splits](#data-splits) - [Dataset Creation](#dataset-creation) - [Curation Rationale](#curation-rationale) - [Source Data](#source-data) - [Annotations](#annotations) - [Personal and Sensitive Information](#personal-and-sensitive-information) - [Considerations for Using the Data](#considerations-for-using-the-data) - [Social Impact of Dataset](#social-impact-of-dataset) - [Discussion of Biases](#discussion-of-biases) - [Other Known Limitations](#other-known-limitations) - [Additional Information](#additional-information) - [Dataset Curators](#dataset-curators) - [Licensing Information](#licensing-information) - [Citation Information](#citation-information) - [Contributions](#contributions) ## Dataset Description - **Homepage:** [https://github.com/deepmind/mathematics_dataset](https://github.com/deepmind/mathematics_dataset) - **Repository:** [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) - **Paper:** [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) - **Point of Contact:** [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) - **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](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Languages [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ## 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](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Source Data #### Initial Data Collection and Normalization [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) #### Who are the source language producers? [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Annotations #### Annotation process [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) #### Who are the annotators? [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Personal and Sensitive Information [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ## Considerations for Using the Data ### Social Impact of Dataset [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Discussion of Biases [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Other Known Limitations [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ## Additional Information ### Dataset Curators [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### Licensing Information [More Information Needed](https://github.com/huggingface/datasets/blob/master/CONTRIBUTING.md#how-to-contribute-to-the-dataset-cards) ### 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](https://github.com/patrickvonplaten), [@lewtun](https://github.com/lewtun), [@thomwolf](https://github.com/thomwolf) for adding this dataset.