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--- |
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license: mit |
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dataset_size: 40907 |
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- config_name: geometry_polygon_color |
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features: |
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- name: id |
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dtype: string |
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- name: family |
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dtype: string |
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- name: difficulty_level |
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dtype: int64 |
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- name: messages |
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list: |
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- name: role |
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dtype: string |
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- name: content |
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dtype: string |
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- name: ground_truth |
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dtype: string |
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- name: dataset |
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dtype: string |
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splits: |
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- name: level_1 |
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num_bytes: 11962 |
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num_examples: 100 |
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- name: level_2 |
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num_bytes: 12716 |
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num_examples: 100 |
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- name: level_3 |
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num_bytes: 13789 |
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num_examples: 100 |
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- name: level_4 |
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num_bytes: 14677 |
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num_examples: 100 |
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- name: level_5 |
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num_bytes: 15388 |
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num_examples: 100 |
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download_size: 68532 |
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dataset_size: 68532 |
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- config_name: number_theory_prime_mod |
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features: |
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- name: id |
|
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dtype: string |
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- name: family |
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dtype: string |
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- name: difficulty_level |
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dtype: int64 |
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- name: messages |
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list: |
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- name: role |
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dtype: string |
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- name: content |
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dtype: string |
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- name: ground_truth |
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dtype: string |
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- name: dataset |
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dtype: string |
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splits: |
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- name: level_1 |
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num_bytes: 8642 |
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num_examples: 100 |
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- name: level_2 |
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num_bytes: 9036 |
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num_examples: 100 |
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- name: level_3 |
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num_bytes: 8703 |
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num_examples: 100 |
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- name: level_4 |
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num_bytes: 8349 |
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num_examples: 100 |
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- name: level_5 |
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num_bytes: 8441 |
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num_examples: 100 |
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download_size: 43171 |
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dataset_size: 43171 |
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- config_name: logic_puzzles_grid_knight |
|
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features: |
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- name: id |
|
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dtype: string |
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- name: family |
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dtype: string |
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- name: difficulty_level |
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dtype: int64 |
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- name: messages |
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list: |
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- name: role |
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dtype: string |
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- name: content |
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dtype: string |
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- name: ground_truth |
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dtype: string |
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- name: dataset |
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dtype: string |
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splits: |
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- name: level_1 |
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num_bytes: 9274 |
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num_examples: 100 |
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- name: level_2 |
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num_bytes: 9573 |
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num_examples: 100 |
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- name: level_3 |
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num_bytes: 9679 |
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num_examples: 100 |
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- name: level_4 |
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num_bytes: 9690 |
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num_examples: 100 |
|
|
- name: level_5 |
|
|
num_bytes: 9713 |
|
|
num_examples: 100 |
|
|
download_size: 47929 |
|
|
dataset_size: 47929 |
|
|
- config_name: geometry_rotation |
|
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features: |
|
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- name: id |
|
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dtype: string |
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- name: family |
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dtype: string |
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- name: difficulty_level |
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dtype: int64 |
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- name: messages |
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list: |
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- name: role |
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dtype: string |
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- name: content |
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dtype: string |
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- name: ground_truth |
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dtype: string |
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- name: dataset |
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dtype: string |
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splits: |
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- name: level_1 |
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num_bytes: 15094 |
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num_examples: 100 |
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- name: level_2 |
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num_bytes: 15790 |
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num_examples: 100 |
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- name: level_3 |
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num_bytes: 16625 |
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num_examples: 100 |
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- name: level_4 |
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num_bytes: 17317 |
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num_examples: 100 |
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- name: level_5 |
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|
num_bytes: 17934 |
|
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num_examples: 100 |
|
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- name: level_6 |
|
|
num_bytes: 10510 |
|
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num_examples: 10 |
|
|
download_size: 93270 |
|
|
dataset_size: 93270 |
|
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configs: |
|
|
- config_name: arithmetic_matrix_rank |
|
|
data_files: |
|
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- split: level_1 |
|
|
path: arithmetic_matrix_rank/level_1-* |
|
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- split: level_2 |
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path: arithmetic_matrix_rank/level_2-* |
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- split: level_3 |
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path: arithmetic_matrix_rank/level_3-* |
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|
- split: level_4 |
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path: arithmetic_matrix_rank/level_4-* |
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|
- split: level_5 |
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path: arithmetic_matrix_rank/level_5-* |
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|
- split: level_6 |
|
|
path: arithmetic_matrix_rank/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_rank/level_7-* |
|
|
- config_name: arithmetic_matrix_multiplication |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_matrix_multiplication/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_matrix_multiplication/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_matrix_multiplication/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_matrix_multiplication/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_matrix_multiplication/level_5-* |
|
|
- split: level_6 |
|
|
path: arithmetic_matrix_multiplication/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_multiplication/level_7-* |
|
|
- config_name: algebra_func_derivative_sign |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_derivative_sign/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_derivative_sign/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_derivative_sign/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_derivative_sign/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_derivative_sign/level_5-* |
|
|
- config_name: arithmetic_matrix_svd |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_matrix_svd/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_matrix_svd/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_matrix_svd/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_matrix_svd/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_matrix_svd/level_5-* |
|
|
- split: level_6 |
|
|
path: arithmetic_matrix_svd/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_svd/level_7-* |
|
|
- config_name: algebra_func_extrema_coords |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_extrema_coords/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_extrema_coords/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_extrema_coords/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_extrema_coords/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_extrema_coords/level_5-* |
|
|
- config_name: geometry_polygon_chords |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: geometry_polygon_chords/level_1-* |
|
|
- split: level_2 |
|
|
path: geometry_polygon_chords/level_2-* |
|
|
- split: level_3 |
|
|
path: geometry_polygon_chords/level_3-* |
|
|
- split: level_4 |
|
|
path: geometry_polygon_chords/level_4-* |
|
|
- split: level_5 |
|
|
path: geometry_polygon_chords/level_5-* |
|
|
- config_name: logic_puzzles_blocked_grid |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: logic_puzzles_blocked_grid/level_1-* |
|
|
- split: level_2 |
|
|
path: logic_puzzles_blocked_grid/level_2-* |
|
|
- split: level_3 |
|
|
path: logic_puzzles_blocked_grid/level_3-* |
|
|
- split: level_4 |
|
|
path: logic_puzzles_blocked_grid/level_4-* |
|
|
- split: level_5 |
|
|
path: logic_puzzles_blocked_grid/level_5-* |
|
|
- config_name: arithmetic_matrix_eigenvalues |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_matrix_eigenvalues/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_matrix_eigenvalues/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_matrix_eigenvalues/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_matrix_eigenvalues/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_matrix_eigenvalues/level_5-* |
|
|
- split: level_6 |
|
|
path: arithmetic_matrix_eigenvalues/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_eigenvalues/level_7-* |
|
|
- config_name: algebra_func_intersection |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_intersection/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_intersection/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_intersection/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_intersection/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_intersection/level_5-* |
|
|
- config_name: number_theory_digit_sum |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: number_theory_digit_sum/level_1-* |
|
|
- split: level_2 |
|
|
path: number_theory_digit_sum/level_2-* |
|
|
- split: level_3 |
|
|
path: number_theory_digit_sum/level_3-* |
|
|
- split: level_4 |
|
|
path: number_theory_digit_sum/level_4-* |
|
|
- split: level_5 |
|
|
path: number_theory_digit_sum/level_5-* |
|
|
- config_name: combinatory_probability_no_specific_letter_fixed |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: combinatory_probability_no_specific_letter_fixed/level_1-* |
|
|
- split: level_2 |
|
|
path: combinatory_probability_no_specific_letter_fixed/level_2-* |
|
|
- split: level_3 |
|
|
path: combinatory_probability_no_specific_letter_fixed/level_3-* |
|
|
- split: level_4 |
|
|
path: combinatory_probability_no_specific_letter_fixed/level_4-* |
|
|
- split: level_5 |
|
|
path: combinatory_probability_no_specific_letter_fixed/level_5-* |
|
|
- config_name: combinatory_probability_at_least_n_specific_fixed |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: combinatory_probability_at_least_n_specific_fixed/level_1-* |
|
|
- split: level_2 |
|
|
path: combinatory_probability_at_least_n_specific_fixed/level_2-* |
|
|
- split: level_3 |
|
|
path: combinatory_probability_at_least_n_specific_fixed/level_3-* |
|
|
- split: level_4 |
|
|
path: combinatory_probability_at_least_n_specific_fixed/level_4-* |
|
|
- split: level_5 |
|
|
path: combinatory_probability_at_least_n_specific_fixed/level_5-* |
|
|
- config_name: logic_puzzles_grid_rook |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: logic_puzzles_grid_rook/level_1-* |
|
|
- split: level_2 |
|
|
path: logic_puzzles_grid_rook/level_2-* |
|
|
- split: level_3 |
|
|
path: logic_puzzles_grid_rook/level_3-* |
|
|
- split: level_4 |
|
|
path: logic_puzzles_grid_rook/level_4-* |
|
|
- split: level_5 |
|
|
path: logic_puzzles_grid_rook/level_5-* |
|
|
- config_name: combinatory_distribution |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: combinatory_distribution/level_1-* |
|
|
- split: level_2 |
|
|
path: combinatory_distribution/level_2-* |
|
|
- split: level_3 |
|
|
path: combinatory_distribution/level_3-* |
|
|
- split: level_4 |
|
|
path: combinatory_distribution/level_4-* |
|
|
- split: level_5 |
|
|
path: combinatory_distribution/level_5-* |
|
|
- split: level_6 |
|
|
path: combinatory_distribution/level_6-* |
|
|
- config_name: arithmetic_mixed |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_mixed/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_mixed/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_mixed/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_mixed/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_mixed/level_5-* |
|
|
- config_name: arithmetic_matrix_determinant |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_matrix_determinant/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_matrix_determinant/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_matrix_determinant/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_matrix_determinant/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_matrix_determinant/level_5-* |
|
|
- split: level_6 |
|
|
path: arithmetic_matrix_determinant/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_determinant/level_7-* |
|
|
- config_name: algebra_linear_equation |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_linear_equation/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_linear_equation/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_linear_equation/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_linear_equation/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_linear_equation/level_5-* |
|
|
- config_name: logic_puzzles_grid_chip |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: logic_puzzles_grid_chip/level_1-* |
|
|
- split: level_2 |
|
|
path: logic_puzzles_grid_chip/level_2-* |
|
|
- split: level_3 |
|
|
path: logic_puzzles_grid_chip/level_3-* |
|
|
- split: level_4 |
|
|
path: logic_puzzles_grid_chip/level_4-* |
|
|
- split: level_5 |
|
|
path: logic_puzzles_grid_chip/level_5-* |
|
|
- config_name: arithmetic_gcd |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_gcd/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_gcd/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_gcd/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_gcd/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_gcd/level_5-* |
|
|
- config_name: arithmetic_list_prime_factors |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_list_prime_factors/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_list_prime_factors/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_list_prime_factors/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_list_prime_factors/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_list_prime_factors/level_5-* |
|
|
- config_name: logic_puzzles_zebralogic |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: logic_puzzles_zebralogic/level_1-* |
|
|
- split: level_2 |
|
|
path: logic_puzzles_zebralogic/level_2-* |
|
|
- split: level_3 |
|
|
path: logic_puzzles_zebralogic/level_3-* |
|
|
- split: level_4 |
|
|
path: logic_puzzles_zebralogic/level_4-* |
|
|
- split: level_5 |
|
|
path: logic_puzzles_zebralogic/level_5-* |
|
|
- config_name: arithmetic_matrix_inverse |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_matrix_inverse/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_matrix_inverse/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_matrix_inverse/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_matrix_inverse/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_matrix_inverse/level_5-* |
|
|
- split: level_6 |
|
|
path: arithmetic_matrix_inverse/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_inverse/level_7-* |
|
|
- config_name: algebra_func_extrema |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_extrema/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_extrema/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_extrema/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_extrema/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_extrema/level_5-* |
|
|
- config_name: algebra_func_zeros |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_zeros/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_zeros/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_zeros/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_zeros/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_zeros/level_5-* |
|
|
- config_name: arithmetic_matrix_power |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: arithmetic_matrix_power/level_1-* |
|
|
- split: level_2 |
|
|
path: arithmetic_matrix_power/level_2-* |
|
|
- split: level_3 |
|
|
path: arithmetic_matrix_power/level_3-* |
|
|
- split: level_4 |
|
|
path: arithmetic_matrix_power/level_4-* |
|
|
- split: level_5 |
|
|
path: arithmetic_matrix_power/level_5-* |
|
|
- split: level_6 |
|
|
path: arithmetic_matrix_power/level_6-* |
|
|
- split: level_7 |
|
|
path: arithmetic_matrix_power/level_7-* |
|
|
- config_name: combinatory_pattern_matching |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: combinatory_pattern_matching/level_1-* |
|
|
- split: level_2 |
|
|
path: combinatory_pattern_matching/level_2-* |
|
|
- split: level_3 |
|
|
path: combinatory_pattern_matching/level_3-* |
|
|
- split: level_4 |
|
|
path: combinatory_pattern_matching/level_4-* |
|
|
- split: level_5 |
|
|
path: combinatory_pattern_matching/level_5-* |
|
|
- config_name: algebra_func_area |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_area/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_area/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_area/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_area/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_area/level_5-* |
|
|
- config_name: algebra_func_intersection_coords |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: algebra_func_intersection_coords/level_1-* |
|
|
- split: level_2 |
|
|
path: algebra_func_intersection_coords/level_2-* |
|
|
- split: level_3 |
|
|
path: algebra_func_intersection_coords/level_3-* |
|
|
- split: level_4 |
|
|
path: algebra_func_intersection_coords/level_4-* |
|
|
- split: level_5 |
|
|
path: algebra_func_intersection_coords/level_5-* |
|
|
- config_name: combinatory_probability_exactly_n_specific_fixed |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: combinatory_probability_exactly_n_specific_fixed/level_1-* |
|
|
- split: level_2 |
|
|
path: combinatory_probability_exactly_n_specific_fixed/level_2-* |
|
|
- split: level_3 |
|
|
path: combinatory_probability_exactly_n_specific_fixed/level_3-* |
|
|
- split: level_4 |
|
|
path: combinatory_probability_exactly_n_specific_fixed/level_4-* |
|
|
- split: level_5 |
|
|
path: combinatory_probability_exactly_n_specific_fixed/level_5-* |
|
|
- config_name: combinatory_probability_no_fixed_points |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: combinatory_probability_no_fixed_points/level_1-* |
|
|
- split: level_2 |
|
|
path: combinatory_probability_no_fixed_points/level_2-* |
|
|
- split: level_3 |
|
|
path: combinatory_probability_no_fixed_points/level_3-* |
|
|
- split: level_4 |
|
|
path: combinatory_probability_no_fixed_points/level_4-* |
|
|
- split: level_5 |
|
|
path: combinatory_probability_no_fixed_points/level_5-* |
|
|
- config_name: number_theory_triple_count |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: number_theory_triple_count/level_1-* |
|
|
- split: level_2 |
|
|
path: number_theory_triple_count/level_2-* |
|
|
- split: level_3 |
|
|
path: number_theory_triple_count/level_3-* |
|
|
- split: level_4 |
|
|
path: number_theory_triple_count/level_4-* |
|
|
- split: level_5 |
|
|
path: number_theory_triple_count/level_5-* |
|
|
- config_name: geometry_polygon_color |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: geometry_polygon_color/level_1-* |
|
|
- split: level_2 |
|
|
path: geometry_polygon_color/level_2-* |
|
|
- split: level_3 |
|
|
path: geometry_polygon_color/level_3-* |
|
|
- split: level_4 |
|
|
path: geometry_polygon_color/level_4-* |
|
|
- split: level_5 |
|
|
path: geometry_polygon_color/level_5-* |
|
|
- config_name: number_theory_prime_mod |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: number_theory_prime_mod/level_1-* |
|
|
- split: level_2 |
|
|
path: number_theory_prime_mod/level_2-* |
|
|
- split: level_3 |
|
|
path: number_theory_prime_mod/level_3-* |
|
|
- split: level_4 |
|
|
path: number_theory_prime_mod/level_4-* |
|
|
- split: level_5 |
|
|
path: number_theory_prime_mod/level_5-* |
|
|
- config_name: logic_puzzles_grid_knight |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: logic_puzzles_grid_knight/level_1-* |
|
|
- split: level_2 |
|
|
path: logic_puzzles_grid_knight/level_2-* |
|
|
- split: level_3 |
|
|
path: logic_puzzles_grid_knight/level_3-* |
|
|
- split: level_4 |
|
|
path: logic_puzzles_grid_knight/level_4-* |
|
|
- split: level_5 |
|
|
path: logic_puzzles_grid_knight/level_5-* |
|
|
- config_name: geometry_rotation |
|
|
data_files: |
|
|
- split: level_1 |
|
|
path: geometry_rotation/level_1-* |
|
|
- split: level_2 |
|
|
path: geometry_rotation/level_2-* |
|
|
- split: level_3 |
|
|
path: geometry_rotation/level_3-* |
|
|
- split: level_4 |
|
|
path: geometry_rotation/level_4-* |
|
|
- split: level_5 |
|
|
path: geometry_rotation/level_5-* |
|
|
- split: level_6 |
|
|
path: geometry_rotation/level_6-* |
|
|
--- |
|
|
|
|
|
# Mathematical Problem Families by Difficulty |
|
|
|
|
|
This dataset contains mathematical problems organized by problem families, with each family spanning multiple difficulty levels. This organization allows for studying how mathematical reasoning scales with problem complexity within specific mathematical domains. |
|
|
|
|
|
## Overview |
|
|
|
|
|
Each problem family represents a specific type of mathematical problem (e.g., function area calculation, matrix operations, probability calculations) with problems spanning multiple difficulty levels. This structure enables researchers to study: |
|
|
|
|
|
- **Difficulty Scaling**: How mathematical reasoning changes as problems become more complex |
|
|
- **Domain-Specific Learning**: How models learn within specific mathematical areas |
|
|
- **Progressive Training**: Training on easier levels and testing on harder ones |
|
|
- **Curriculum Learning**: Gradually increasing difficulty within problem types |
|
|
|
|
|
## Quick Start |
|
|
|
|
|
```python |
|
|
from datasets import load_dataset |
|
|
|
|
|
# Load all problem families |
|
|
dataset = load_dataset("allenai/omega-prob-families") |
|
|
|
|
|
# Load a specific problem family with all difficulty levels |
|
|
func_area_data = load_dataset("allenai/omega-prob-families", "algebra_func_area") |
|
|
level_1_data = func_area_data["level_1"] # Easiest problems |
|
|
level_5_data = func_area_data["level_5"] # Hardest problems |
|
|
|
|
|
# Load just a specific difficulty level |
|
|
level_3_only = load_dataset("allenai/omega-prob-families", "algebra_func_area", split="level_3") |
|
|
|
|
|
# Get all available families |
|
|
available_families = list(dataset.keys()) |
|
|
print(f"Available families: {available_families}") |
|
|
``` |
|
|
|
|
|
## Dataset Description |
|
|
|
|
|
Each problem family contains exactly 100 problems per difficulty level (or fewer if the original file contained fewer than 100), allowing for systematic study of how mathematical reasoning scales with complexity. The families cover various mathematical domains including: |
|
|
|
|
|
- **Algebra**: Function analysis, polynomial operations, linear equations |
|
|
- **Arithmetic**: Matrix operations, number theory, basic calculations |
|
|
- **Geometry**: Shape analysis, transformations, spatial reasoning |
|
|
- **Combinatorics**: Probability, pattern matching, counting problems |
|
|
- **Logic**: Grid-based puzzles, constraint satisfaction |
|
|
|
|
|
## Family Structure |
|
|
|
|
|
Each family is organized as: |
|
|
- **Family Name**: Descriptive identifier (e.g., `algebra_func_area`) |
|
|
- **Difficulty Levels**: Progressive levels from 1 (easiest) to N (hardest) |
|
|
- **Problem Count**: Exactly 100 problems per level (or fewer if original file had fewer) |
|
|
- **Consistent Format**: Same problem type across all levels, increasing in complexity |
|
|
|
|
|
## Citation |
|
|
|
|
|
If you use this dataset, please cite the original work: |
|
|
|
|
|
```bibtex |
|
|
@article{sun2024omega, |
|
|
title = {OMEGA: Can LLMs Reason Outside the Box in Math? Evaluating Exploratory, Compositional, and Transformative Generalization}, |
|
|
author = {Yiyou Sun and Shawn Hu and Georgia Zhou and Ken Zheng and Hannaneh Hajishirzi and Nouha Dziri and Dawn Song}, |
|
|
journal = {arXiv preprint arXiv:2506.18880}, |
|
|
year = {2024}, |
|
|
} |
|
|
``` |
|
|
|
|
|
## Related Resources |
|
|
|
|
|
- **Explorative Dataset**: See [omega-explorative](https://huggingface.co/datasets/allenai/omega-explorative) for explorative reasoning challenges |
|
|
- **Compositional Dataset**: See [omega-compositional](https://huggingface.co/datasets/allenai/omega-compositional) for compositional reasoning challenges |
|
|
- **Transformative Dataset**: See [omega-transformative](https://huggingface.co/datasets/allenai/omega-transformative) for transformative reasoning challenges |
|
|
- **Paper**: See the full details in [paper](https://arxiv.org/pdf/2506.18880) |
|
|
- **Code Repository**: See generation code on [github](https://github.com/sunblaze-ucb/math_ood) |
|
|
|
|
|
|
