Add Stage 1 evaluation problem subsets
Browse filesAdds released Stage 1 evaluation subsets and matching metadata.
- README.md +71 -9
- data/evaluation_extra_hard.jsonl +200 -0
- data/evaluation_hard.jsonl +200 -0
- data/evaluation_normal.jsonl +200 -0
- data/evaluation_order5.jsonl +200 -0
- metadata/evaluation_extra_hard.json +12 -0
- metadata/evaluation_hard.json +12 -0
- metadata/evaluation_normal.json +12 -0
- metadata/evaluation_order5.json +12 -0
README.md
CHANGED
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@@ -20,10 +20,35 @@ configs:
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data_files:
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- split: train
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path: data/hard3.jsonl
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---
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# Equational Theories Selected Problems
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## Update (March 24, 2026)
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This dataset was updated on March 24, 2026.
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Main changes:
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- added `eq1_id` and `eq2_id` to all released subsets
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- added the `hard3` subset
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-
- updated the README
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-
This dataset contains
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This dataset is intended for Stage 1 of the Mathematics Distillation Challenge: Equational Theories competition.
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Competition page:
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- [https://competition
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The full raw implication dataset contains 4694 laws, which yields `4694 * (4694 - 1) = 22,028,942` ordered implications.
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@@ -51,7 +76,7 @@ The full list of all 4694 equations is available here:
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- [equations.txt](https://raw.githubusercontent.com/teorth/equational_theories/main/data/equations.txt)
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-
Because the full raw dataset is very large, the competition organizers selected public subsets
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## Subsets
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- `hard1`: a deduplicated version of the 200-problem `hard` subset, containing 69 unique problems total, with 24 ground-truth `TRUE` labels and 45 ground-truth `FALSE` labels
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- `hard2`: 200 selected problems co-curated by human mathematicians and AI, with 100 ground-truth `TRUE` labels and 100 ground-truth `FALSE` labels
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- `hard3`: 400 selected problems with 195 ground-truth `TRUE` labels and 205 ground-truth `FALSE` labels
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-
All subsets are
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## Data Schema
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Each record has the following fields:
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-
- `id`: stable identifier such as `normal_0001`, `hard_0001`, `
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- `index`: 1-based index within the subset
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- `difficulty`: `normal` or `
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- `eq1_id`: 1-based equation identifier for `equation1`
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- `eq2_id`: 1-based equation identifier for `equation2`
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- `equation1`: Equation 1
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- `equation2`: Equation 2
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- `answer`: whether Equation 1 implies Equation 2 over all magmas
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- `notes`: optional explanatory notes
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Records in `hard1`, `hard2`, and `hard3` use subset-specific IDs and keep `difficulty: hard`.
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## Usage
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"hard3",
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split="train",
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)
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```
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## Files
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- `data/hard1.jsonl`
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- `data/hard2.jsonl`
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- `data/hard3.jsonl`
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- `metadata/normal.json`
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- `metadata/hard.json`
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- `metadata/hard1.json`
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- `metadata/hard2.json`
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- `metadata/hard3.json`
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data_files:
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- split: train
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path: data/hard3.jsonl
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- config_name: evaluation_normal
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data_files:
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- split: train
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path: data/evaluation_normal.jsonl
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- config_name: evaluation_hard
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data_files:
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- split: train
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path: data/evaluation_hard.jsonl
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- config_name: evaluation_extra_hard
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data_files:
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- split: train
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path: data/evaluation_extra_hard.jsonl
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- config_name: evaluation_order5
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data_files:
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- split: train
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path: data/evaluation_order5.jsonl
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---
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# Equational Theories Selected Problems
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## Update (April 27, 2026)
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This dataset was updated on April 27, 2026.
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Main changes:
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- added the released Stage 1 final evaluation subsets: `evaluation_normal`, `evaluation_hard`, `evaluation_extra_hard`, and `evaluation_order5`
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- added metadata files for the new evaluation subsets
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- updated the README and metadata to reflect the current released subsets
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## Update (March 24, 2026)
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This dataset was updated on March 24, 2026.
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Main changes:
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- added `eq1_id` and `eq2_id` to all released subsets
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- added the `hard3` subset
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+
- updated the README to reflect the current released subsets
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This dataset contains selected problem subsets for the Mathematics Distillation Challenge: Equational Theories, including public training subsets and released Stage 1 evaluation subsets.
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This dataset is intended for Stage 1 of the Mathematics Distillation Challenge: Equational Theories competition.
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Competition page:
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- [https://competition.sair.foundation/competitions/mathematics-distillation-challenge-equational-theories-stage1/overview](https://competition.sair.foundation/competitions/mathematics-distillation-challenge-equational-theories-stage1/overview)
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The full raw implication dataset contains 4694 laws, which yields `4694 * (4694 - 1) = 22,028,942` ordered implications.
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- [equations.txt](https://raw.githubusercontent.com/teorth/equational_theories/main/data/equations.txt)
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Because the full raw dataset is very large, the competition organizers selected public subsets to make testing and experimentation more practical for participants.
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## Subsets
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- `hard1`: a deduplicated version of the 200-problem `hard` subset, containing 69 unique problems total, with 24 ground-truth `TRUE` labels and 45 ground-truth `FALSE` labels
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- `hard2`: 200 selected problems co-curated by human mathematicians and AI, with 100 ground-truth `TRUE` labels and 100 ground-truth `FALSE` labels
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- `hard3`: 400 selected problems with 195 ground-truth `TRUE` labels and 205 ground-truth `FALSE` labels
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- `evaluation_normal`: 200 Stage 1 final evaluation problems, with 100 ground-truth `TRUE` labels and 100 ground-truth `FALSE` labels
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- `evaluation_hard`: 200 Stage 1 final evaluation problems, with 100 ground-truth `TRUE` labels and 100 ground-truth `FALSE` labels
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- `evaluation_extra_hard`: 200 Stage 1 final evaluation problems, with 100 ground-truth `TRUE` labels and 100 ground-truth `FALSE` labels
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- `evaluation_order5`: 200 order-5 evaluation problems, with 100 ground-truth `TRUE` labels and 100 ground-truth `FALSE` labels
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All subsets are exposed as the `train` split in this repository. The `evaluation_*` subsets are released Stage 1 evaluation subsets.
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## Data Schema
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Each record has the following fields:
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- `id`: stable identifier such as `normal_0001`, `hard_0001`, `hard3_0001`, or `evaluation_normal_0001`
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- `index`: 1-based index within the subset
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- `difficulty`: subset difficulty label such as `normal`, `hard`, `extra_hard`, or `order5_normal`
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- `eq1_id`: 1-based equation identifier for `equation1`; for the order-4-and-below subsets, this refers to the full 4694-law equation list
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- `eq2_id`: 1-based equation identifier for `equation2`; for the order-4-and-below subsets, this refers to the full 4694-law equation list
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- `equation1`: Equation 1
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- `equation2`: Equation 2
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- `answer`: whether Equation 1 implies Equation 2 over all magmas
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- `notes`: optional explanatory notes
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Records in `hard1`, `hard2`, and `hard3` use subset-specific IDs and keep `difficulty: hard`.
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+
Records in `evaluation_order5` use order-5 equation identifiers.
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## Usage
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"hard3",
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split="train",
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)
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evaluation_normal = load_dataset(
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"SAIRfoundation/equational-theories-selected-problems",
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"evaluation_normal",
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split="train",
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)
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evaluation_hard = load_dataset(
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"SAIRfoundation/equational-theories-selected-problems",
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"evaluation_hard",
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split="train",
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)
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evaluation_extra_hard = load_dataset(
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"SAIRfoundation/equational-theories-selected-problems",
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"evaluation_extra_hard",
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split="train",
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)
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evaluation_order5 = load_dataset(
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"SAIRfoundation/equational-theories-selected-problems",
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"evaluation_order5",
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split="train",
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)
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```
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## Files
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- `data/hard1.jsonl`
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- `data/hard2.jsonl`
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- `data/hard3.jsonl`
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- `data/evaluation_normal.jsonl`
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- `data/evaluation_hard.jsonl`
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- `data/evaluation_extra_hard.jsonl`
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- `data/evaluation_order5.jsonl`
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- `metadata/normal.json`
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- `metadata/hard.json`
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- `metadata/hard1.json`
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- `metadata/hard2.json`
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- `metadata/hard3.json`
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- `metadata/evaluation_normal.json`
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- `metadata/evaluation_hard.json`
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- `metadata/evaluation_extra_hard.json`
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- `metadata/evaluation_order5.json`
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data/evaluation_extra_hard.jsonl
ADDED
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+
{"id": "evaluation_extra_hard_0001", "index": 1, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 449, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = x * (y * (z * (x * w)))", "answer": false}
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+
{"id": "evaluation_extra_hard_0002", "index": 2, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3690, "equation1": "x * y = y * (y * y)", "equation2": "x * x = (y * y) * (z * x)", "answer": true}
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+
{"id": "evaluation_extra_hard_0003", "index": 3, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 638, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = x * (y * ((x * z) * w))", "answer": false}
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+
{"id": "evaluation_extra_hard_0004", "index": 4, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3334, "equation1": "x * y = y * (y * y)", "equation2": "x * y = x * (z * (z * y))", "answer": true}
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+
{"id": "evaluation_extra_hard_0005", "index": 5, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 652, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = x * (y * ((z * x) * w))", "answer": false}
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+
{"id": "evaluation_extra_hard_0006", "index": 6, "difficulty": "extra_hard", "eq1_id": 3356, "eq2_id": 3363, "equation1": "x * y = y * (y * (y * y))", "equation2": "x * y = y * (z * (x * y))", "answer": true}
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+
{"id": "evaluation_extra_hard_0007", "index": 7, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 661, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = x * (y * ((z * w) * x))", "answer": false}
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+
{"id": "evaluation_extra_hard_0008", "index": 8, "difficulty": "extra_hard", "eq1_id": 332, "eq2_id": 4358, "equation1": "x * y = y * (x * x)", "equation2": "x * (y * z) = x * (z * y)", "answer": true}
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+
{"id": "evaluation_extra_hard_0009", "index": 9, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 675, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = y * (x * ((x * z) * w))", "answer": false}
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+
{"id": "evaluation_extra_hard_0010", "index": 10, "difficulty": "extra_hard", "eq1_id": 382, "eq2_id": 4136, "equation1": "x * y = (x * z) * z", "equation2": "x * y = ((x * y) * z) * w", "answer": true}
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+
{"id": "evaluation_extra_hard_0011", "index": 11, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 752, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = y * (z * ((x * w) * x))", "answer": false}
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+
{"id": "evaluation_extra_hard_0012", "index": 12, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3499, "equation1": "x * y = y * (y * y)", "equation2": "x * x = y * ((z * z) * x)", "answer": true}
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| 13 |
+
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| 70 |
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| 74 |
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| 76 |
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| 77 |
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| 78 |
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| 79 |
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| 80 |
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| 81 |
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| 82 |
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| 83 |
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| 84 |
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| 85 |
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| 86 |
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| 87 |
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| 88 |
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| 89 |
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| 90 |
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| 91 |
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| 92 |
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| 93 |
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|
| 94 |
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|
| 95 |
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|
| 96 |
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|
| 97 |
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|
| 98 |
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|
| 99 |
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|
| 100 |
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|
| 101 |
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|
| 102 |
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|
| 103 |
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|
| 104 |
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|
| 105 |
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|
| 106 |
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|
| 107 |
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|
| 108 |
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|
| 109 |
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|
| 110 |
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|
| 111 |
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|
| 112 |
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|
| 113 |
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|
| 114 |
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|
| 115 |
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|
| 116 |
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|
| 117 |
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|
| 118 |
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|
| 119 |
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|
| 120 |
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|
| 121 |
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|
| 122 |
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|
| 123 |
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|
| 124 |
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|
| 125 |
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|
| 126 |
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|
| 127 |
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|
| 128 |
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|
| 129 |
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|
| 130 |
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|
| 131 |
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|
| 132 |
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|
| 133 |
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|
| 134 |
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|
| 135 |
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|
| 136 |
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|
| 137 |
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|
| 138 |
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|
| 139 |
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|
| 140 |
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|
| 141 |
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|
| 142 |
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|
| 143 |
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|
| 144 |
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|
| 145 |
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|
| 146 |
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|
| 147 |
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|
| 148 |
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|
| 149 |
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|
| 150 |
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|
| 151 |
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|
| 152 |
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{"id": "evaluation_extra_hard_0152", "index": 152, "difficulty": "extra_hard", "eq1_id": 259, "eq2_id": 263, "equation1": "x = ((x * x) * y) * z", "equation2": "x = ((x * y) * y) * x", "answer": true}
|
| 153 |
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|
| 154 |
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|
| 155 |
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|
| 156 |
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|
| 157 |
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|
| 158 |
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| 159 |
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| 160 |
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| 161 |
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| 162 |
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| 163 |
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| 164 |
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| 165 |
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|
| 166 |
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| 167 |
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|
| 168 |
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|
| 169 |
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|
| 170 |
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|
| 171 |
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|
| 172 |
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|
| 173 |
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{"id": "evaluation_extra_hard_0173", "index": 173, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3521, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((y * y) * x)", "answer": false}
|
| 174 |
+
{"id": "evaluation_extra_hard_0174", "index": 174, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3522, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((y * y) * y)", "answer": false}
|
| 175 |
+
{"id": "evaluation_extra_hard_0175", "index": 175, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3523, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((y * y) * z)", "answer": false}
|
| 176 |
+
{"id": "evaluation_extra_hard_0176", "index": 176, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3532, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((z * y) * x)", "answer": false}
|
| 177 |
+
{"id": "evaluation_extra_hard_0177", "index": 177, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3533, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((z * y) * y)", "answer": false}
|
| 178 |
+
{"id": "evaluation_extra_hard_0178", "index": 178, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3534, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((z * y) * z)", "answer": false}
|
| 179 |
+
{"id": "evaluation_extra_hard_0179", "index": 179, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3535, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = x * ((z * y) * w)", "answer": false}
|
| 180 |
+
{"id": "evaluation_extra_hard_0180", "index": 180, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3864, "equation1": "x = (y * x) * (x * z)", "equation2": "x * x = (x * (x * y)) * x", "answer": false}
|
| 181 |
+
{"id": "evaluation_extra_hard_0181", "index": 181, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3883, "equation1": "x = (y * x) * (x * z)", "equation2": "x * x = (y * (x * z)) * x", "answer": false}
|
| 182 |
+
{"id": "evaluation_extra_hard_0182", "index": 182, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3915, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (x * (x * x)) * y", "answer": false}
|
| 183 |
+
{"id": "evaluation_extra_hard_0183", "index": 183, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3921, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (x * (x * z)) * y", "answer": false}
|
| 184 |
+
{"id": "evaluation_extra_hard_0184", "index": 184, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3952, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (y * (x * x)) * y", "answer": false}
|
| 185 |
+
{"id": "evaluation_extra_hard_0185", "index": 185, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3958, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (y * (x * z)) * y", "answer": false}
|
| 186 |
+
{"id": "evaluation_extra_hard_0186", "index": 186, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3989, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (z * (x * x)) * y", "answer": false}
|
| 187 |
+
{"id": "evaluation_extra_hard_0187", "index": 187, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 3997, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (z * (x * z)) * y", "answer": false}
|
| 188 |
+
{"id": "evaluation_extra_hard_0188", "index": 188, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4001, "equation1": "x = (y * x) * (x * z)", "equation2": "x * y = (z * (x * w)) * y", "answer": false}
|
| 189 |
+
{"id": "evaluation_extra_hard_0189", "index": 189, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4268, "equation1": "x = (y * x) * (x * z)", "equation2": "x * (x * x) = x * (x * y)", "answer": false}
|
| 190 |
+
{"id": "evaluation_extra_hard_0190", "index": 190, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4282, "equation1": "x = (y * x) * (x * z)", "equation2": "x * (x * y) = x * (x * z)", "answer": false}
|
| 191 |
+
{"id": "evaluation_extra_hard_0191", "index": 191, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4314, "equation1": "x = (y * x) * (x * z)", "equation2": "x * (y * x) = x * (y * y)", "answer": false}
|
| 192 |
+
{"id": "evaluation_extra_hard_0192", "index": 192, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4315, "equation1": "x = (y * x) * (x * z)", "equation2": "x * (y * x) = x * (y * z)", "answer": false}
|
| 193 |
+
{"id": "evaluation_extra_hard_0193", "index": 193, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4339, "equation1": "x = (y * x) * (x * z)", "equation2": "x * (y * y) = x * (y * z)", "answer": false}
|
| 194 |
+
{"id": "evaluation_extra_hard_0194", "index": 194, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4357, "equation1": "x = (y * x) * (x * z)", "equation2": "x * (y * z) = x * (y * w)", "answer": false}
|
| 195 |
+
{"id": "evaluation_extra_hard_0195", "index": 195, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4587, "equation1": "x = (y * x) * (x * z)", "equation2": "(x * x) * x = (y * x) * x", "answer": false}
|
| 196 |
+
{"id": "evaluation_extra_hard_0196", "index": 196, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4606, "equation1": "x = (y * x) * (x * z)", "equation2": "(x * x) * y = (y * x) * y", "answer": false}
|
| 197 |
+
{"id": "evaluation_extra_hard_0197", "index": 197, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4615, "equation1": "x = (y * x) * (x * z)", "equation2": "(x * x) * y = (z * x) * y", "answer": false}
|
| 198 |
+
{"id": "evaluation_extra_hard_0198", "index": 198, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4645, "equation1": "x = (y * x) * (x * z)", "equation2": "(x * y) * x = (z * y) * x", "answer": false}
|
| 199 |
+
{"id": "evaluation_extra_hard_0199", "index": 199, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4666, "equation1": "x = (y * x) * (x * z)", "equation2": "(x * y) * y = (z * y) * y", "answer": false}
|
| 200 |
+
{"id": "evaluation_extra_hard_0200", "index": 200, "difficulty": "extra_hard", "eq1_id": 168, "eq2_id": 4689, "equation1": "x = (y * x) * (x * z)", "equation2": "(x * y) * z = (w * y) * z", "answer": false}
|
data/evaluation_hard.jsonl
ADDED
|
@@ -0,0 +1,200 @@
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| 1 |
+
{"id": "evaluation_hard_0001", "index": 1, "difficulty": "hard", "eq1_id": 3, "eq2_id": 3306, "equation1": "x = x * x", "equation2": "x * y = x * (x * (x * y))", "answer": false}
|
| 2 |
+
{"id": "evaluation_hard_0002", "index": 2, "difficulty": "hard", "eq1_id": 21, "eq2_id": 36, "equation1": "x = y * (z * z)", "equation2": "x = (y * z) * z", "answer": true}
|
| 3 |
+
{"id": "evaluation_hard_0003", "index": 3, "difficulty": "hard", "eq1_id": 8, "eq2_id": 3306, "equation1": "x = x * (x * x)", "equation2": "x * y = x * (x * (x * y))", "answer": false}
|
| 4 |
+
{"id": "evaluation_hard_0004", "index": 4, "difficulty": "hard", "eq1_id": 30, "eq2_id": 27, "equation1": "x = (y * x) * z", "equation2": "x = (x * y) * z", "answer": true}
|
| 5 |
+
{"id": "evaluation_hard_0005", "index": 5, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4075, "equation1": "x * x = x * y", "equation2": "x * x = ((x * y) * y) * z", "answer": false}
|
| 6 |
+
{"id": "evaluation_hard_0006", "index": 6, "difficulty": "hard", "eq1_id": 35, "eq2_id": 18, "equation1": "x = (y * z) * y", "equation2": "x = y * (y * z)", "answer": true}
|
| 7 |
+
{"id": "evaluation_hard_0007", "index": 7, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4076, "equation1": "x * x = x * y", "equation2": "x * x = ((x * y) * z) * x", "answer": false}
|
| 8 |
+
{"id": "evaluation_hard_0008", "index": 8, "difficulty": "hard", "eq1_id": 37, "eq2_id": 22, "equation1": "x = (y * z) * w", "equation2": "x = y * (z * w)", "answer": true}
|
| 9 |
+
{"id": "evaluation_hard_0009", "index": 9, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4077, "equation1": "x * x = x * y", "equation2": "x * x = ((x * y) * z) * y", "answer": false}
|
| 10 |
+
{"id": "evaluation_hard_0010", "index": 10, "difficulty": "hard", "eq1_id": 64, "eq2_id": 51, "equation1": "x = y * (x * (x * z))", "equation2": "x = x * (x * (y * z))", "answer": true}
|
| 11 |
+
{"id": "evaluation_hard_0011", "index": 11, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4119, "equation1": "x * x = x * y", "equation2": "x * y = ((x * x) * x) * z", "answer": false}
|
| 12 |
+
{"id": "evaluation_hard_0012", "index": 12, "difficulty": "hard", "eq1_id": 64, "eq2_id": 54, "equation1": "x = y * (x * (x * z))", "equation2": "x = x * (y * (x * z))", "answer": true}
|
| 13 |
+
{"id": "evaluation_hard_0013", "index": 13, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4122, "equation1": "x * x = x * y", "equation2": "x * y = ((x * x) * y) * z", "answer": false}
|
| 14 |
+
{"id": "evaluation_hard_0014", "index": 14, "difficulty": "hard", "eq1_id": 64, "eq2_id": 58, "equation1": "x = y * (x * (x * z))", "equation2": "x = x * (y * (z * x))", "answer": true}
|
| 15 |
+
{"id": "evaluation_hard_0015", "index": 15, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4123, "equation1": "x * x = x * y", "equation2": "x * y = ((x * x) * z) * x", "answer": false}
|
| 16 |
+
{"id": "evaluation_hard_0016", "index": 16, "difficulty": "hard", "eq1_id": 64, "eq2_id": 82, "equation1": "x = y * (x * (x * z))", "equation2": "x = y * (z * (x * x))", "answer": true}
|
| 17 |
+
{"id": "evaluation_hard_0017", "index": 17, "difficulty": "hard", "eq1_id": 38, "eq2_id": 4124, "equation1": "x * x = x * y", "equation2": "x * y = ((x * x) * z) * y", "answer": false}
|
| 18 |
+
{"id": "evaluation_hard_0018", "index": 18, "difficulty": "hard", "eq1_id": 64, "eq2_id": 120, "equation1": "x = y * (x * (x * z))", "equation2": "x = y * ((x * z) * x)", "answer": true}
|
| 19 |
+
{"id": "evaluation_hard_0019", "index": 19, "difficulty": "hard", "eq1_id": 359, "eq2_id": 3915, "equation1": "x * x = (x * x) * x", "equation2": "x * y = (x * (x * x)) * y", "answer": false}
|
| 20 |
+
{"id": "evaluation_hard_0020", "index": 20, "difficulty": "hard", "eq1_id": 64, "eq2_id": 158, "equation1": "x = y * (x * (x * z))", "equation2": "x = (x * y) * (x * z)", "answer": true}
|
| 21 |
+
{"id": "evaluation_hard_0021", "index": 21, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3288, "equation1": "x * y = (y * y) * y", "equation2": "x * x = y * (z * (x * x))", "answer": false}
|
| 22 |
+
{"id": "evaluation_hard_0022", "index": 22, "difficulty": "hard", "eq1_id": 64, "eq2_id": 272, "equation1": "x = y * (x * (x * z))", "equation2": "x = ((y * x) * x) * z", "answer": true}
|
| 23 |
+
{"id": "evaluation_hard_0023", "index": 23, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3300, "equation1": "x * y = (y * y) * y", "equation2": "x * x = y * (z * (w * x))", "answer": false}
|
| 24 |
+
{"id": "evaluation_hard_0024", "index": 24, "difficulty": "hard", "eq1_id": 64, "eq2_id": 290, "equation1": "x = y * (x * (x * z))", "equation2": "x = ((y * z) * x) * x", "answer": true}
|
| 25 |
+
{"id": "evaluation_hard_0025", "index": 25, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3349, "equation1": "x * y = (y * y) * y", "equation2": "x * y = y * (x * (z * y))", "answer": false}
|
| 26 |
+
{"id": "evaluation_hard_0026", "index": 26, "difficulty": "hard", "eq1_id": 67, "eq2_id": 119, "equation1": "x = y * (x * (y * z))", "equation2": "x = y * ((x * y) * z)", "answer": true}
|
| 27 |
+
{"id": "evaluation_hard_0027", "index": 27, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3367, "equation1": "x * y = (y * y) * y", "equation2": "x * y = y * (z * (y * y))", "answer": false}
|
| 28 |
+
{"id": "evaluation_hard_0028", "index": 28, "difficulty": "hard", "eq1_id": 67, "eq2_id": 275, "equation1": "x = y * (x * (y * z))", "equation2": "x = ((y * x) * y) * z", "answer": true}
|
| 29 |
+
{"id": "evaluation_hard_0029", "index": 29, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3397, "equation1": "x * y = (y * y) * y", "equation2": "x * y = z * (y * (x * y))", "answer": false}
|
| 30 |
+
{"id": "evaluation_hard_0030", "index": 30, "difficulty": "hard", "eq1_id": 2, "eq2_id": 4525, "equation1": "x = y", "equation2": "x * (y * z) = (y * x) * z", "answer": true}
|
| 31 |
+
{"id": "evaluation_hard_0031", "index": 31, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3401, "equation1": "x * y = (y * y) * y", "equation2": "x * y = z * (y * (y * y))", "answer": false}
|
| 32 |
+
{"id": "evaluation_hard_0032", "index": 32, "difficulty": "hard", "eq1_id": 2, "eq2_id": 4673, "equation1": "x = y", "equation2": "(x * y) * z = (x * z) * y", "answer": true}
|
| 33 |
+
{"id": "evaluation_hard_0033", "index": 33, "difficulty": "hard", "eq1_id": 388, "eq2_id": 3426, "equation1": "x * y = (y * y) * y", "equation2": "x * y = z * (z * (w * y))", "answer": false}
|
| 34 |
+
{"id": "evaluation_hard_0034", "index": 34, "difficulty": "hard", "eq1_id": 2, "eq2_id": 4684, "equation1": "x = y", "equation2": "(x * y) * z = (z * y) * x", "answer": true}
|
| 35 |
+
{"id": "evaluation_hard_0035", "index": 35, "difficulty": "hard", "eq1_id": 1487, "eq2_id": 2415, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = (y * (z * (w * x))) * x", "answer": false}
|
| 36 |
+
{"id": "evaluation_hard_0036", "index": 36, "difficulty": "hard", "eq1_id": 15, "eq2_id": 4442, "equation1": "x = y * (x * z)", "equation2": "x * (y * x) = (y * x) * x", "answer": true}
|
| 37 |
+
{"id": "evaluation_hard_0037", "index": 37, "difficulty": "hard", "eq1_id": 1487, "eq2_id": 2728, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = ((y * x) * (z * w)) * x", "answer": false}
|
| 38 |
+
{"id": "evaluation_hard_0038", "index": 38, "difficulty": "hard", "eq1_id": 33, "eq2_id": 18, "equation1": "x = (y * y) * z", "equation2": "x = y * (y * z)", "answer": true}
|
| 39 |
+
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|
| 40 |
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{"id": "evaluation_hard_0040", "index": 40, "difficulty": "hard", "eq1_id": 39, "eq2_id": 3989, "equation1": "x * x = y * x", "equation2": "x * y = (z * (x * x)) * y", "answer": true}
|
| 41 |
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|
| 42 |
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{"id": "evaluation_hard_0042", "index": 42, "difficulty": "hard", "eq1_id": 39, "eq2_id": 4360, "equation1": "x * x = y * x", "equation2": "x * (y * z) = x * (w * z)", "answer": true}
|
| 43 |
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|
| 44 |
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|
| 45 |
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|
| 46 |
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|
| 47 |
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|
| 48 |
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|
| 49 |
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|
| 50 |
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|
| 51 |
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|
| 52 |
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| 53 |
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|
| 54 |
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|
| 55 |
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|
| 56 |
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| 57 |
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|
| 58 |
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|
| 59 |
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|
| 60 |
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|
| 61 |
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|
| 62 |
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|
| 63 |
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|
| 64 |
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|
| 65 |
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|
| 66 |
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|
| 67 |
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|
| 68 |
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|
| 69 |
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|
| 70 |
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|
| 71 |
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|
| 72 |
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|
| 73 |
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|
| 74 |
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|
| 75 |
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|
| 76 |
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|
| 77 |
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|
| 78 |
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|
| 79 |
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|
| 80 |
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|
| 81 |
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|
| 82 |
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|
| 83 |
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|
| 84 |
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|
| 85 |
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|
| 86 |
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|
| 87 |
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|
| 88 |
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|
| 89 |
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{"id": "evaluation_hard_0089", "index": 89, "difficulty": "hard", "eq1_id": 168, "eq2_id": 650, "equation1": "x = (y * x) * (x * z)", "equation2": "x = x * (y * ((z * x) * y))", "answer": false}
|
| 90 |
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|
| 91 |
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{"id": "evaluation_hard_0091", "index": 91, "difficulty": "hard", "eq1_id": 168, "eq2_id": 775, "equation1": "x = (y * x) * (x * z)", "equation2": "x = y * (z * ((z * x) * y))", "answer": false}
|
| 92 |
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|
| 93 |
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{"id": "evaluation_hard_0093", "index": 93, "difficulty": "hard", "eq1_id": 168, "eq2_id": 1203, "equation1": "x = (y * x) * (x * z)", "equation2": "x = y * ((z * (w * y)) * y)", "answer": false}
|
| 94 |
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{"id": "evaluation_hard_0094", "index": 94, "difficulty": "hard", "eq1_id": 438, "eq2_id": 60, "equation1": "x = x * (y * (y * (x * z)))", "equation2": "x = x * (y * (z * z))", "answer": true}
|
| 95 |
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|
| 96 |
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{"id": "evaluation_hard_0096", "index": 96, "difficulty": "hard", "eq1_id": 447, "eq2_id": 4077, "equation1": "x = x * (y * (z * (x * y)))", "equation2": "x * x = ((x * y) * z) * y", "answer": true}
|
| 97 |
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|
| 98 |
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{"id": "evaluation_hard_0098", "index": 98, "difficulty": "hard", "eq1_id": 448, "eq2_id": 3519, "equation1": "x = x * (y * (z * (x * z)))", "equation2": "x * y = x * ((y * x) * y)", "answer": true}
|
| 99 |
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|
| 100 |
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|
| 101 |
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|
| 102 |
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|
| 103 |
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|
| 104 |
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|
| 105 |
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|
| 106 |
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|
| 107 |
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|
| 108 |
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{"id": "evaluation_hard_0108", "index": 108, "difficulty": "hard", "eq1_id": 451, "eq2_id": 4472, "equation1": "x = x * (y * (z * (y * y)))", "equation2": "x * (y * y) = (x * y) * x", "answer": true}
|
| 109 |
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{"id": "evaluation_hard_0109", "index": 109, "difficulty": "hard", "eq1_id": 168, "eq2_id": 1618, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * z) * (w * (w * x))", "answer": false}
|
| 110 |
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{"id": "evaluation_hard_0110", "index": 110, "difficulty": "hard", "eq1_id": 453, "eq2_id": 3731, "equation1": "x = x * (y * (z * (y * w)))", "equation2": "x * y = (x * z) * (x * x)", "answer": true}
|
| 111 |
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{"id": "evaluation_hard_0111", "index": 111, "difficulty": "hard", "eq1_id": 168, "eq2_id": 1674, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (x * y) * ((z * z) * z)", "answer": false}
|
| 112 |
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|
| 113 |
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{"id": "evaluation_hard_0113", "index": 113, "difficulty": "hard", "eq1_id": 168, "eq2_id": 1704, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * x) * ((z * x) * w)", "answer": false}
|
| 114 |
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{"id": "evaluation_hard_0114", "index": 114, "difficulty": "hard", "eq1_id": 461, "eq2_id": 847, "equation1": "x = x * (y * (z * (w * w)))", "equation2": "x = x * ((y * y) * (y * z))", "answer": true}
|
| 115 |
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{"id": "evaluation_hard_0115", "index": 115, "difficulty": "hard", "eq1_id": 168, "eq2_id": 1816, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * z) * ((w * z) * x)", "answer": false}
|
| 116 |
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{"id": "evaluation_hard_0116", "index": 116, "difficulty": "hard", "eq1_id": 469, "eq2_id": 4090, "equation1": "x = y * (x * (x * (z * x)))", "equation2": "x * x = ((y * y) * x) * x", "answer": true}
|
| 117 |
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{"id": "evaluation_hard_0117", "index": 117, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2100, "equation1": "x = (y * x) * (x * z)", "equation2": "x = ((y * x) * y) * (y * x)", "answer": false}
|
| 118 |
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{"id": "evaluation_hard_0118", "index": 118, "difficulty": "hard", "eq1_id": 492, "eq2_id": 4200, "equation1": "x = y * (x * (z * (z * y)))", "equation2": "x * y = ((z * x) * z) * y", "answer": true}
|
| 119 |
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{"id": "evaluation_hard_0119", "index": 119, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2253, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (x * (y * (x * x))) * x", "answer": false}
|
| 120 |
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{"id": "evaluation_hard_0120", "index": 120, "difficulty": "hard", "eq1_id": 579, "eq2_id": 3952, "equation1": "x = y * (z * (z * (z * x)))", "equation2": "x * y = (y * (x * x)) * y", "answer": true}
|
| 121 |
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|
| 122 |
+
{"id": "evaluation_hard_0122", "index": 122, "difficulty": "hard", "eq1_id": 631, "eq2_id": 3321, "equation1": "x = x * (y * ((x * x) * z))", "equation2": "x * y = x * (y * (z * x))", "answer": true}
|
| 123 |
+
{"id": "evaluation_hard_0123", "index": 123, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2428, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * (z * (w * z))) * w", "answer": false}
|
| 124 |
+
{"id": "evaluation_hard_0124", "index": 124, "difficulty": "hard", "eq1_id": 634, "eq2_id": 624, "equation1": "x = x * (y * ((x * y) * z))", "equation2": "x = x * (x * ((y * y) * z))", "answer": true}
|
| 125 |
+
{"id": "evaluation_hard_0125", "index": 125, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2589, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * ((z * y) * y)) * y", "answer": false}
|
| 126 |
+
{"id": "evaluation_hard_0126", "index": 126, "difficulty": "hard", "eq1_id": 634, "eq2_id": 651, "equation1": "x = x * (y * ((x * y) * z))", "equation2": "x = x * (y * ((z * x) * z))", "answer": true}
|
| 127 |
+
{"id": "evaluation_hard_0127", "index": 127, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2598, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * ((z * y) * w)) * z", "answer": false}
|
| 128 |
+
{"id": "evaluation_hard_0128", "index": 128, "difficulty": "hard", "eq1_id": 634, "eq2_id": 3872, "equation1": "x = x * (y * ((x * y) * z))", "equation2": "x * x = (x * (y * y)) * z", "answer": true}
|
| 129 |
+
{"id": "evaluation_hard_0129", "index": 129, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2726, "equation1": "x = (y * x) * (x * z)", "equation2": "x = ((y * x) * (z * z)) * z", "answer": false}
|
| 130 |
+
{"id": "evaluation_hard_0130", "index": 130, "difficulty": "hard", "eq1_id": 638, "eq2_id": 376, "equation1": "x = x * (y * ((x * z) * w))", "equation2": "x * y = (x * x) * z", "answer": true}
|
| 131 |
+
{"id": "evaluation_hard_0131", "index": 131, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2740, "equation1": "x = (y * x) * (x * z)", "equation2": "x = ((y * y) * (x * z)) * y", "answer": false}
|
| 132 |
+
{"id": "evaluation_hard_0132", "index": 132, "difficulty": "hard", "eq1_id": 644, "eq2_id": 1045, "equation1": "x = x * (y * ((y * y) * z))", "equation2": "x = x * ((y * (y * x)) * x)", "answer": true}
|
| 133 |
+
{"id": "evaluation_hard_0133", "index": 133, "difficulty": "hard", "eq1_id": 168, "eq2_id": 2765, "equation1": "x = (y * x) * (x * z)", "equation2": "x = ((y * y) * (z * w)) * x", "answer": false}
|
| 134 |
+
{"id": "evaluation_hard_0134", "index": 134, "difficulty": "hard", "eq1_id": 648, "eq2_id": 1669, "equation1": "x = x * (y * ((y * z) * w))", "equation2": "x = (x * y) * ((z * y) * y)", "answer": true}
|
| 135 |
+
{"id": "evaluation_hard_0135", "index": 135, "difficulty": "hard", "eq1_id": 106, "eq2_id": 2480, "equation1": "x = x * ((y * x) * z)", "equation2": "x = (x * ((y * z) * y)) * x", "answer": false}
|
| 136 |
+
{"id": "evaluation_hard_0136", "index": 136, "difficulty": "hard", "eq1_id": 91, "eq2_id": 2119, "equation1": "x = y * (z * (z * y))", "equation2": "x = ((y * x) * z) * (w * x)", "answer": true}
|
| 137 |
+
{"id": "evaluation_hard_0137", "index": 137, "difficulty": "hard", "eq1_id": 125, "eq2_id": 1571, "equation1": "x = y * ((y * x) * y)", "equation2": "x = (y * z) * (y * (x * z))", "answer": false}
|
| 138 |
+
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|
| 139 |
+
{"id": "evaluation_hard_0139", "index": 139, "difficulty": "hard", "eq1_id": 130, "eq2_id": 4120, "equation1": "x = y * ((y * z) * x)", "equation2": "x * y = ((x * x) * y) * x", "answer": false}
|
| 140 |
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|
| 141 |
+
{"id": "evaluation_hard_0141", "index": 141, "difficulty": "hard", "eq1_id": 655, "eq2_id": 4522, "equation1": "x = x * (y * ((z * y) * z))", "equation2": "x * (y * z) = (x * w) * u", "answer": false}
|
| 142 |
+
{"id": "evaluation_hard_0142", "index": 142, "difficulty": "hard", "eq1_id": 488, "eq2_id": 2848, "equation1": "x = y * (x * (z * (y * y)))", "equation2": "x = ((x * (x * x)) * x) * y", "answer": true}
|
| 143 |
+
{"id": "evaluation_hard_0143", "index": 143, "difficulty": "hard", "eq1_id": 676, "eq2_id": 3449, "equation1": "x = y * (x * ((y * x) * x))", "equation2": "x * y = z * (w * (w * u))", "answer": false}
|
| 144 |
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{"id": "evaluation_hard_0144", "index": 144, "difficulty": "hard", "eq1_id": 539, "eq2_id": 2463, "equation1": "x = y * (z * (x * (x * z)))", "equation2": "x = (x * ((y * x) * z)) * y", "answer": true}
|
| 145 |
+
{"id": "evaluation_hard_0145", "index": 145, "difficulty": "hard", "eq1_id": 695, "eq2_id": 3342, "equation1": "x = y * (x * ((z * z) * y))", "equation2": "x * y = y * (x * (x * x))", "answer": false}
|
| 146 |
+
{"id": "evaluation_hard_0146", "index": 146, "difficulty": "hard", "eq1_id": 550, "eq2_id": 2385, "equation1": "x = y * (z * (x * (w * y)))", "equation2": "x = (y * (z * (y * y))) * x", "answer": true}
|
| 147 |
+
{"id": "evaluation_hard_0147", "index": 147, "difficulty": "hard", "eq1_id": 746, "eq2_id": 1224, "equation1": "x = y * (z * ((x * y) * z))", "equation2": "x = x * (((x * x) * x) * y)", "answer": false}
|
| 148 |
+
{"id": "evaluation_hard_0148", "index": 148, "difficulty": "hard", "eq1_id": 552, "eq2_id": 1563, "equation1": "x = y * (z * (x * (w * w)))", "equation2": "x = (y * z) * (x * (z * w))", "answer": true}
|
| 149 |
+
{"id": "evaluation_hard_0149", "index": 149, "difficulty": "hard", "eq1_id": 759, "eq2_id": 633, "equation1": "x = y * (z * ((y * x) * z))", "equation2": "x = x * (y * ((x * y) * y))", "answer": false}
|
| 150 |
+
{"id": "evaluation_hard_0150", "index": 150, "difficulty": "hard", "eq1_id": 552, "eq2_id": 1600, "equation1": "x = y * (z * (x * (w * w)))", "equation2": "x = (y * z) * (z * (w * z))", "answer": true}
|
| 151 |
+
{"id": "evaluation_hard_0151", "index": 151, "difficulty": "hard", "eq1_id": 962, "eq2_id": 3423, "equation1": "x = y * ((z * y) * (x * z))", "equation2": "x * y = z * (z * (z * z))", "answer": false}
|
| 152 |
+
{"id": "evaluation_hard_0152", "index": 152, "difficulty": "hard", "eq1_id": 553, "eq2_id": 2292, "equation1": "x = y * (z * (x * (w * u)))", "equation2": "x = (y * (x * (x * x))) * z", "answer": true}
|
| 153 |
+
{"id": "evaluation_hard_0153", "index": 153, "difficulty": "hard", "eq1_id": 1101, "eq2_id": 4389, "equation1": "x = y * ((x * (z * z)) * y)", "equation2": "x * (x * x) = (y * y) * y", "answer": false}
|
| 154 |
+
{"id": "evaluation_hard_0154", "index": 154, "difficulty": "hard", "eq1_id": 580, "eq2_id": 2850, "equation1": "x = y * (z * (z * (z * y)))", "equation2": "x = ((x * (x * x)) * y) * y", "answer": true}
|
| 155 |
+
{"id": "evaluation_hard_0155", "index": 155, "difficulty": "hard", "eq1_id": 1133, "eq2_id": 3335, "equation1": "x = y * ((y * (z * y)) * x)", "equation2": "x * y = x * (z * (z * z))", "answer": false}
|
| 156 |
+
{"id": "evaluation_hard_0156", "index": 156, "difficulty": "hard", "eq1_id": 589, "eq2_id": 2191, "equation1": "x = y * (z * (w * (x * y)))", "equation2": "x = ((y * z) * y) * (w * y)", "answer": true}
|
| 157 |
+
{"id": "evaluation_hard_0157", "index": 157, "difficulty": "hard", "eq1_id": 1276, "eq2_id": 4431, "equation1": "x = y * (((x * x) * x) * y)", "equation2": "x * (x * y) = (z * w) * u", "answer": false}
|
| 158 |
+
{"id": "evaluation_hard_0158", "index": 158, "difficulty": "hard", "eq1_id": 675, "eq2_id": 3717, "equation1": "x = y * (x * ((x * z) * w))", "equation2": "x * y = (x * x) * (z * x)", "answer": true}
|
| 159 |
+
{"id": "evaluation_hard_0159", "index": 159, "difficulty": "hard", "eq1_id": 1307, "eq2_id": 3625, "equation1": "x = y * (((x * z) * w) * x)", "equation2": "x * y = z * ((z * z) * y)", "answer": false}
|
| 160 |
+
{"id": "evaluation_hard_0160", "index": 160, "difficulty": "hard", "eq1_id": 700, "eq2_id": 911, "equation1": "x = y * (x * ((z * w) * z))", "equation2": "x = y * ((y * x) * (y * z))", "answer": true}
|
| 161 |
+
{"id": "evaluation_hard_0161", "index": 161, "difficulty": "hard", "eq1_id": 1323, "eq2_id": 2469, "equation1": "x = y * (((y * y) * x) * y)", "equation2": "x = (x * ((y * y) * y)) * x", "answer": false}
|
| 162 |
+
{"id": "evaluation_hard_0162", "index": 162, "difficulty": "hard", "eq1_id": 743, "eq2_id": 2903, "equation1": "x = y * (z * ((x * x) * w))", "equation2": "x = ((y * (x * x)) * y) * y", "answer": true}
|
| 163 |
+
{"id": "evaluation_hard_0163", "index": 163, "difficulty": "hard", "eq1_id": 1435, "eq2_id": 1181, "equation1": "x = (x * x) * (y * (y * y))", "equation2": "x = y * ((z * (z * x)) * y)", "answer": false}
|
| 164 |
+
{"id": "evaluation_hard_0164", "index": 164, "difficulty": "hard", "eq1_id": 777, "eq2_id": 500, "equation1": "x = y * (z * ((z * x) * w))", "equation2": "x = y * (y * (x * (x * x)))", "answer": true}
|
| 165 |
+
{"id": "evaluation_hard_0165", "index": 165, "difficulty": "hard", "eq1_id": 1453, "eq2_id": 1434, "equation1": "x = (x * y) * (y * (x * z))", "equation2": "x = (x * x) * (y * (y * x))", "answer": false}
|
| 166 |
+
{"id": "evaluation_hard_0166", "index": 166, "difficulty": "hard", "eq1_id": 781, "eq2_id": 120, "equation1": "x = y * (z * ((z * y) * w))", "equation2": "x = y * ((x * z) * x)", "answer": true}
|
| 167 |
+
{"id": "evaluation_hard_0167", "index": 167, "difficulty": "hard", "eq1_id": 1460, "eq2_id": 3542, "equation1": "x = (x * y) * (y * (z * w))", "equation2": "x * y = x * ((z * w) * z)", "answer": false}
|
| 168 |
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{"id": "evaluation_hard_0168", "index": 168, "difficulty": "hard", "eq1_id": 781, "eq2_id": 130, "equation1": "x = y * (z * ((z * y) * w))", "equation2": "x = y * ((y * z) * x)", "answer": true}
|
| 169 |
+
{"id": "evaluation_hard_0169", "index": 169, "difficulty": "hard", "eq1_id": 1519, "eq2_id": 4478, "equation1": "x = (y * y) * (x * (y * y))", "equation2": "x * (y * y) = (x * z) * w", "answer": false}
|
| 170 |
+
{"id": "evaluation_hard_0170", "index": 170, "difficulty": "hard", "eq1_id": 798, "eq2_id": 1598, "equation1": "x = y * (z * ((w * y) * z))", "equation2": "x = (y * z) * (z * (w * x))", "answer": true}
|
| 171 |
+
{"id": "evaluation_hard_0171", "index": 171, "difficulty": "hard", "eq1_id": 1521, "eq2_id": 3278, "equation1": "x = (y * y) * (x * (z * x))", "equation2": "x * x = y * (y * (x * x))", "answer": false}
|
| 172 |
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{"id": "evaluation_hard_0172", "index": 172, "difficulty": "hard", "eq1_id": 913, "eq2_id": 134, "equation1": "x = y * ((y * x) * (z * y))", "equation2": "x = y * ((z * x) * x)", "answer": true}
|
| 173 |
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{"id": "evaluation_hard_0173", "index": 173, "difficulty": "hard", "eq1_id": 1561, "eq2_id": 1238, "equation1": "x = (y * z) * (x * (z * y))", "equation2": "x = x * (((y * x) * x) * x)", "answer": false}
|
| 174 |
+
{"id": "evaluation_hard_0174", "index": 174, "difficulty": "hard", "eq1_id": 946, "eq2_id": 4521, "equation1": "x = y * ((z * x) * (x * w))", "equation2": "x * (y * z) = (x * w) * w", "answer": true}
|
| 175 |
+
{"id": "evaluation_hard_0175", "index": 175, "difficulty": "hard", "eq1_id": 1587, "eq2_id": 1033, "equation1": "x = (y * z) * (z * (x * y))", "equation2": "x = x * ((x * (y * z)) * z)", "answer": false}
|
| 176 |
+
{"id": "evaluation_hard_0176", "index": 176, "difficulty": "hard", "eq1_id": 980, "eq2_id": 172, "equation1": "x = y * ((z * z) * (x * w))", "equation2": "x = (y * x) * (z * x)", "answer": true}
|
| 177 |
+
{"id": "evaluation_hard_0177", "index": 177, "difficulty": "hard", "eq1_id": 1590, "eq2_id": 1117, "equation1": "x = (y * z) * (z * (y * x))", "equation2": "x = y * ((y * (x * z)) * z)", "answer": false}
|
| 178 |
+
{"id": "evaluation_hard_0178", "index": 178, "difficulty": "hard", "eq1_id": 1057, "eq2_id": 3100, "equation1": "x = x * ((y * (z * x)) * z)", "equation2": "x = (((x * y) * z) * w) * w", "answer": true}
|
| 179 |
+
{"id": "evaluation_hard_0179", "index": 179, "difficulty": "hard", "eq1_id": 1632, "eq2_id": 4361, "equation1": "x = (x * x) * ((x * y) * y)", "equation2": "x * (y * z) = x * (w * u)", "answer": false}
|
| 180 |
+
{"id": "evaluation_hard_0180", "index": 180, "difficulty": "hard", "eq1_id": 1062, "eq2_id": 3084, "equation1": "x = x * ((y * (z * y)) * w)", "equation2": "x = (((x * y) * y) * z) * w", "answer": true}
|
| 181 |
+
{"id": "evaluation_hard_0181", "index": 181, "difficulty": "hard", "eq1_id": 1670, "eq2_id": 4358, "equation1": "x = (x * y) * ((z * y) * z)", "equation2": "x * (y * z) = x * (z * y)", "answer": false}
|
| 182 |
+
{"id": "evaluation_hard_0182", "index": 182, "difficulty": "hard", "eq1_id": 1087, "eq2_id": 4354, "equation1": "x = y * ((x * (y * y)) * z)", "equation2": "x * (y * y) = z * (w * y)", "answer": true}
|
| 183 |
+
{"id": "evaluation_hard_0183", "index": 183, "difficulty": "hard", "eq1_id": 1701, "eq2_id": 4464, "equation1": "x = (y * x) * ((z * x) * x)", "equation2": "x * (y * x) = (z * w) * x", "answer": false}
|
| 184 |
+
{"id": "evaluation_hard_0184", "index": 184, "difficulty": "hard", "eq1_id": 1116, "eq2_id": 1134, "equation1": "x = y * ((y * (x * z)) * y)", "equation2": "x = y * ((y * (z * y)) * y)", "answer": true}
|
| 185 |
+
{"id": "evaluation_hard_0185", "index": 185, "difficulty": "hard", "eq1_id": 1763, "eq2_id": 4288, "equation1": "x = (y * z) * ((x * z) * x)", "equation2": "x * (x * y) = x * (z * z)", "answer": false}
|
| 186 |
+
{"id": "evaluation_hard_0186", "index": 186, "difficulty": "hard", "eq1_id": 1198, "eq2_id": 252, "equation1": "x = y * ((z * (w * x)) * y)", "equation2": "x = (y * (z * w)) * z", "answer": true}
|
| 187 |
+
{"id": "evaluation_hard_0187", "index": 187, "difficulty": "hard", "eq1_id": 1816, "eq2_id": 4472, "equation1": "x = (y * z) * ((w * z) * x)", "equation2": "x * (y * y) = (x * y) * x", "answer": false}
|
| 188 |
+
{"id": "evaluation_hard_0188", "index": 188, "difficulty": "hard", "eq1_id": 1198, "eq2_id": 3251, "equation1": "x = y * ((z * (w * x)) * y)", "equation2": "x = (((y * z) * w) * u) * u", "answer": true}
|
| 189 |
+
{"id": "evaluation_hard_0189", "index": 189, "difficulty": "hard", "eq1_id": 1821, "eq2_id": 635, "equation1": "x = (y * z) * ((w * w) * x)", "equation2": "x = x * (y * ((x * z) * x))", "answer": false}
|
| 190 |
+
{"id": "evaluation_hard_0190", "index": 190, "difficulty": "hard", "eq1_id": 1273, "eq2_id": 2043, "equation1": "x = x * (((y * z) * w) * w)", "equation2": "x = ((x * x) * y) * (y * x)", "answer": true}
|
| 191 |
+
{"id": "evaluation_hard_0191", "index": 191, "difficulty": "hard", "eq1_id": 2135, "eq2_id": 775, "equation1": "x = ((y * y) * y) * (x * y)", "equation2": "x = y * (z * ((z * x) * y))", "answer": false}
|
| 192 |
+
{"id": "evaluation_hard_0192", "index": 192, "difficulty": "hard", "eq1_id": 1283, "eq2_id": 2278, "equation1": "x = y * (((x * x) * z) * z)", "equation2": "x = (x * (y * (z * y))) * y", "answer": true}
|
| 193 |
+
{"id": "evaluation_hard_0193", "index": 193, "difficulty": "hard", "eq1_id": 2161, "eq2_id": 4302, "equation1": "x = ((y * z) * x) * (x * x)", "equation2": "x * (x * y) = z * (x * w)", "answer": false}
|
| 194 |
+
{"id": "evaluation_hard_0194", "index": 194, "difficulty": "hard", "eq1_id": 1376, "eq2_id": 235, "equation1": "x = y * (((z * y) * z) * z)", "equation2": "x = (y * (y * z)) * y", "answer": true}
|
| 195 |
+
{"id": "evaluation_hard_0195", "index": 195, "difficulty": "hard", "eq1_id": 2167, "eq2_id": 261, "equation1": "x = ((y * z) * x) * (y * z)", "equation2": "x = ((x * y) * x) * y", "answer": false}
|
| 196 |
+
{"id": "evaluation_hard_0196", "index": 196, "difficulty": "hard", "eq1_id": 1689, "eq2_id": 2391, "equation1": "x = (y * x) * ((x * z) * z)", "equation2": "x = (y * (z * (y * z))) * z", "answer": true}
|
| 197 |
+
{"id": "evaluation_hard_0197", "index": 197, "difficulty": "hard", "eq1_id": 2383, "eq2_id": 4332, "equation1": "x = (y * (z * (y * x))) * z", "equation2": "x * (y * x) = z * (y * z)", "answer": false}
|
| 198 |
+
{"id": "evaluation_hard_0198", "index": 198, "difficulty": "hard", "eq1_id": 1766, "eq2_id": 1609, "equation1": "x = (y * z) * ((x * z) * w)", "equation2": "x = (y * z) * (w * (y * y))", "answer": true}
|
| 199 |
+
{"id": "evaluation_hard_0199", "index": 199, "difficulty": "hard", "eq1_id": 2714, "eq2_id": 433, "equation1": "x = ((y * x) * (y * z)) * z", "equation2": "x = x * (y * (x * (z * y)))", "answer": false}
|
| 200 |
+
{"id": "evaluation_hard_0200", "index": 200, "difficulty": "hard", "eq1_id": 1786, "eq2_id": 2115, "equation1": "x = (y * z) * ((y * w) * z)", "equation2": "x = ((y * x) * z) * (z * x)", "answer": true}
|
data/evaluation_normal.jsonl
ADDED
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| 1 |
+
{"id": "evaluation_normal_0001", "index": 1, "difficulty": "normal", "eq1_id": 16, "eq2_id": 1098, "equation1": "x = y * (y * x)", "equation2": "x = y * ((x * (z * y)) * z)", "answer": false}
|
| 2 |
+
{"id": "evaluation_normal_0002", "index": 2, "difficulty": "normal", "eq1_id": 9, "eq2_id": 326, "equation1": "x = x * (x * y)", "equation2": "x * y = x * (y * y)", "answer": true}
|
| 3 |
+
{"id": "evaluation_normal_0003", "index": 3, "difficulty": "normal", "eq1_id": 168, "eq2_id": 1168, "equation1": "x = (y * x) * (x * z)", "equation2": "x = y * ((z * (y * y)) * y)", "answer": false}
|
| 4 |
+
{"id": "evaluation_normal_0004", "index": 4, "difficulty": "normal", "eq1_id": 134, "eq2_id": 1400, "equation1": "x = y * ((z * x) * x)", "equation2": "x = y * (((z * w) * x) * x)", "answer": true}
|
| 5 |
+
{"id": "evaluation_normal_0005", "index": 5, "difficulty": "normal", "eq1_id": 168, "eq2_id": 1423, "equation1": "x = (y * x) * (x * z)", "equation2": "x = y * (((z * w) * u) * w)", "answer": false}
|
| 6 |
+
{"id": "evaluation_normal_0006", "index": 6, "difficulty": "normal", "eq1_id": 428, "eq2_id": 153, "equation1": "x = x * (y * (x * (x * z)))", "equation2": "x = (x * x) * (y * x)", "answer": true}
|
| 7 |
+
{"id": "evaluation_normal_0007", "index": 7, "difficulty": "normal", "eq1_id": 283, "eq2_id": 2994, "equation1": "x = ((y * y) * y) * x", "equation2": "x = ((y * (z * y)) * y) * x", "answer": false}
|
| 8 |
+
{"id": "evaluation_normal_0008", "index": 8, "difficulty": "normal", "eq1_id": 428, "eq2_id": 4599, "equation1": "x = x * (y * (x * (x * z)))", "equation2": "(x * x) * y = (x * y) * y", "answer": true}
|
| 9 |
+
{"id": "evaluation_normal_0009", "index": 9, "difficulty": "normal", "eq1_id": 731, "eq2_id": 968, "equation1": "x = y * (y * ((z * z) * x))", "equation2": "x = y * ((z * y) * (z * x))", "answer": false}
|
| 10 |
+
{"id": "evaluation_normal_0010", "index": 10, "difficulty": "normal", "eq1_id": 431, "eq2_id": 461, "equation1": "x = x * (y * (x * (y * z)))", "equation2": "x = x * (y * (z * (w * w)))", "answer": true}
|
| 11 |
+
{"id": "evaluation_normal_0011", "index": 11, "difficulty": "normal", "eq1_id": 1276, "eq2_id": 2373, "equation1": "x = y * (((x * x) * x) * y)", "equation2": "x = (y * (z * (x * z))) * y", "answer": false}
|
| 12 |
+
{"id": "evaluation_normal_0012", "index": 12, "difficulty": "normal", "eq1_id": 532, "eq2_id": 608, "equation1": "x = y * (y * (z * (w * x)))", "equation2": "x = y * (z * (w * (u * x)))", "answer": true}
|
| 13 |
+
{"id": "evaluation_normal_0013", "index": 13, "difficulty": "normal", "eq1_id": 1443, "eq2_id": 1472, "equation1": "x = (x * y) * (x * (x * z))", "equation2": "x = (x * y) * (z * (z * w))", "answer": false}
|
| 14 |
+
{"id": "evaluation_normal_0014", "index": 14, "difficulty": "normal", "eq1_id": 651, "eq2_id": 631, "equation1": "x = x * (y * ((z * x) * z))", "equation2": "x = x * (y * ((x * x) * z))", "answer": true}
|
| 15 |
+
{"id": "evaluation_normal_0015", "index": 15, "difficulty": "normal", "eq1_id": 1983, "eq2_id": 1340, "equation1": "x = (y * (z * y)) * (z * x)", "equation2": "x = y * (((y * z) * z) * x)", "answer": false}
|
| 16 |
+
{"id": "evaluation_normal_0016", "index": 16, "difficulty": "normal", "eq1_id": 876, "eq2_id": 2984, "equation1": "x = y * ((x * x) * (z * y))", "equation2": "x = ((y * (z * x)) * z) * w", "answer": true}
|
| 17 |
+
{"id": "evaluation_normal_0017", "index": 17, "difficulty": "normal", "eq1_id": 2180, "eq2_id": 572, "equation1": "x = ((y * z) * y) * (x * z)", "equation2": "x = y * (z * (z * (x * y)))", "answer": false}
|
| 18 |
+
{"id": "evaluation_normal_0018", "index": 18, "difficulty": "normal", "eq1_id": 1065, "eq2_id": 3, "equation1": "x = x * ((y * (z * z)) * z)", "equation2": "x = x * x", "answer": true}
|
| 19 |
+
{"id": "evaluation_normal_0019", "index": 19, "difficulty": "normal", "eq1_id": 1, "eq2_id": 842, "equation1": "x = x", "equation2": "x = x * ((y * y) * (x * x))", "answer": false}
|
| 20 |
+
{"id": "evaluation_normal_0020", "index": 20, "difficulty": "normal", "eq1_id": 1084, "eq2_id": 381, "equation1": "x = y * ((x * (y * x)) * z)", "equation2": "x * y = (x * z) * y", "answer": true}
|
| 21 |
+
{"id": "evaluation_normal_0021", "index": 21, "difficulty": "normal", "eq1_id": 1, "eq2_id": 1045, "equation1": "x = x", "equation2": "x = x * ((y * (y * x)) * x)", "answer": false}
|
| 22 |
+
{"id": "evaluation_normal_0022", "index": 22, "difficulty": "normal", "eq1_id": 1227, "eq2_id": 821, "equation1": "x = x * (((x * x) * y) * z)", "equation2": "x = x * ((x * x) * (y * z))", "answer": true}
|
| 23 |
+
{"id": "evaluation_normal_0023", "index": 23, "difficulty": "normal", "eq1_id": 1, "eq2_id": 1112, "equation1": "x = x", "equation2": "x = y * ((y * (x * y)) * x)", "answer": false}
|
| 24 |
+
{"id": "evaluation_normal_0024", "index": 24, "difficulty": "normal", "eq1_id": 1462, "eq2_id": 4136, "equation1": "x = (x * y) * (z * (x * y))", "equation2": "x * y = ((x * y) * z) * w", "answer": true}
|
| 25 |
+
{"id": "evaluation_normal_0025", "index": 25, "difficulty": "normal", "eq1_id": 1, "eq2_id": 1316, "equation1": "x = x", "equation2": "x = y * (((y * x) * y) * y)", "answer": false}
|
| 26 |
+
{"id": "evaluation_normal_0026", "index": 26, "difficulty": "normal", "eq1_id": 1463, "eq2_id": 24, "equation1": "x = (x * y) * (z * (x * z))", "equation2": "x = (x * x) * y", "answer": true}
|
| 27 |
+
{"id": "evaluation_normal_0027", "index": 27, "difficulty": "normal", "eq1_id": 1, "eq2_id": 1722, "equation1": "x = x", "equation2": "x = (y * y) * ((x * y) * y)", "answer": false}
|
| 28 |
+
{"id": "evaluation_normal_0028", "index": 28, "difficulty": "normal", "eq1_id": 1686, "eq2_id": 39, "equation1": "x = (y * x) * ((x * y) * z)", "equation2": "x * x = y * x", "answer": true}
|
| 29 |
+
{"id": "evaluation_normal_0029", "index": 29, "difficulty": "normal", "eq1_id": 1, "eq2_id": 2041, "equation1": "x = x", "equation2": "x = ((x * x) * y) * (x * y)", "answer": false}
|
| 30 |
+
{"id": "evaluation_normal_0030", "index": 30, "difficulty": "normal", "eq1_id": 2064, "eq2_id": 2876, "equation1": "x = ((x * y) * y) * (y * y)", "equation2": "x = ((x * (y * y)) * y) * y", "answer": true}
|
| 31 |
+
{"id": "evaluation_normal_0031", "index": 31, "difficulty": "normal", "eq1_id": 1, "eq2_id": 2090, "equation1": "x = x", "equation2": "x = ((y * x) * x) * (y * x)", "answer": false}
|
| 32 |
+
{"id": "evaluation_normal_0032", "index": 32, "difficulty": "normal", "eq1_id": 2295, "eq2_id": 381, "equation1": "x = (y * (x * (x * y))) * z", "equation2": "x * y = (x * z) * y", "answer": true}
|
| 33 |
+
{"id": "evaluation_normal_0033", "index": 33, "difficulty": "normal", "eq1_id": 1, "eq2_id": 2293, "equation1": "x = x", "equation2": "x = (y * (x * (x * y))) * x", "answer": false}
|
| 34 |
+
{"id": "evaluation_normal_0034", "index": 34, "difficulty": "normal", "eq1_id": 2572, "eq2_id": 7, "equation1": "x = (y * ((z * x) * y)) * y", "equation2": "x = y * z", "answer": true}
|
| 35 |
+
{"id": "evaluation_normal_0035", "index": 35, "difficulty": "normal", "eq1_id": 1, "eq2_id": 2699, "equation1": "x = x", "equation2": "x = ((y * x) * (x * y)) * x", "answer": false}
|
| 36 |
+
{"id": "evaluation_normal_0036", "index": 36, "difficulty": "normal", "eq1_id": 2666, "eq2_id": 2062, "equation1": "x = ((x * y) * (x * z)) * y", "equation2": "x = ((x * y) * y) * (x * z)", "answer": true}
|
| 37 |
+
{"id": "evaluation_normal_0037", "index": 37, "difficulty": "normal", "eq1_id": 1, "eq2_id": 2700, "equation1": "x = x", "equation2": "x = ((y * x) * (x * y)) * y", "answer": false}
|
| 38 |
+
{"id": "evaluation_normal_0038", "index": 38, "difficulty": "normal", "eq1_id": 2936, "eq2_id": 23, "equation1": "x = ((y * (y * x)) * x) * x", "equation2": "x = (x * x) * x", "answer": true}
|
| 39 |
+
{"id": "evaluation_normal_0039", "index": 39, "difficulty": "normal", "eq1_id": 1, "eq2_id": 3261, "equation1": "x = x", "equation2": "x * x = x * (y * (y * x))", "answer": false}
|
| 40 |
+
{"id": "evaluation_normal_0040", "index": 40, "difficulty": "normal", "eq1_id": 3067, "eq2_id": 3082, "equation1": "x = (((x * y) * x) * x) * z", "equation2": "x = (((x * y) * y) * z) * y", "answer": true}
|
| 41 |
+
{"id": "evaluation_normal_0041", "index": 41, "difficulty": "normal", "eq1_id": 1, "eq2_id": 3759, "equation1": "x = x", "equation2": "x * y = (y * y) * (x * y)", "answer": false}
|
| 42 |
+
{"id": "evaluation_normal_0042", "index": 42, "difficulty": "normal", "eq1_id": 3082, "eq2_id": 3077, "equation1": "x = (((x * y) * y) * z) * y", "equation2": "x = (((x * y) * y) * x) * z", "answer": true}
|
| 43 |
+
{"id": "evaluation_normal_0043", "index": 43, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4071, "equation1": "x = x", "equation2": "x * x = ((x * y) * x) * y", "answer": false}
|
| 44 |
+
{"id": "evaluation_normal_0044", "index": 44, "difficulty": "normal", "eq1_id": 3366, "eq2_id": 3390, "equation1": "x * y = y * (z * (y * x))", "equation2": "x * y = z * (x * (z * w))", "answer": true}
|
| 45 |
+
{"id": "evaluation_normal_0045", "index": 45, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4164, "equation1": "x = x", "equation2": "x * y = ((y * y) * x) * x", "answer": false}
|
| 46 |
+
{"id": "evaluation_normal_0046", "index": 46, "difficulty": "normal", "eq1_id": 3591, "eq2_id": 3820, "equation1": "x * y = z * ((x * z) * y)", "equation2": "x * y = (z * z) * (x * y)", "answer": true}
|
| 47 |
+
{"id": "evaluation_normal_0047", "index": 47, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4332, "equation1": "x = x", "equation2": "x * (y * x) = z * (y * z)", "answer": false}
|
| 48 |
+
{"id": "evaluation_normal_0048", "index": 48, "difficulty": "normal", "eq1_id": 3753, "eq2_id": 337, "equation1": "x * y = (y * x) * (y * z)", "equation2": "x * y = y * (y * z)", "answer": true}
|
| 49 |
+
{"id": "evaluation_normal_0049", "index": 49, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4435, "equation1": "x = x", "equation2": "x * (y * x) = (x * y) * x", "answer": false}
|
| 50 |
+
{"id": "evaluation_normal_0050", "index": 50, "difficulty": "normal", "eq1_id": 3764, "eq2_id": 4176, "equation1": "x * y = (y * y) * (z * x)", "equation2": "x * y = ((y * z) * x) * z", "answer": true}
|
| 51 |
+
{"id": "evaluation_normal_0051", "index": 51, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4584, "equation1": "x = x", "equation2": "(x * x) * x = (x * y) * x", "answer": false}
|
| 52 |
+
{"id": "evaluation_normal_0052", "index": 52, "difficulty": "normal", "eq1_id": 85, "eq2_id": 946, "equation1": "x = y * (z * (x * w))", "equation2": "x = y * ((z * x) * (x * w))", "answer": true}
|
| 53 |
+
{"id": "evaluation_normal_0053", "index": 53, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4594, "equation1": "x = x", "equation2": "(x * x) * x = (y * z) * y", "answer": false}
|
| 54 |
+
{"id": "evaluation_normal_0054", "index": 54, "difficulty": "normal", "eq1_id": 85, "eq2_id": 1005, "equation1": "x = y * (z * (x * w))", "equation2": "x = y * ((z * w) * (z * y))", "answer": true}
|
| 55 |
+
{"id": "evaluation_normal_0055", "index": 55, "difficulty": "normal", "eq1_id": 1, "eq2_id": 4595, "equation1": "x = x", "equation2": "(x * x) * x = (y * z) * z", "answer": false}
|
| 56 |
+
{"id": "evaluation_normal_0056", "index": 56, "difficulty": "normal", "eq1_id": 141, "eq2_id": 1409, "equation1": "x = y * ((z * y) * w)", "equation2": "x = y * (((z * w) * y) * u)", "answer": true}
|
| 57 |
+
{"id": "evaluation_normal_0057", "index": 57, "difficulty": "normal", "eq1_id": 3, "eq2_id": 634, "equation1": "x = x * x", "equation2": "x = x * (y * ((x * y) * z))", "answer": false}
|
| 58 |
+
{"id": "evaluation_normal_0058", "index": 58, "difficulty": "normal", "eq1_id": 177, "eq2_id": 170, "equation1": "x = (y * y) * (x * y)", "equation2": "x = (y * x) * (y * y)", "answer": true}
|
| 59 |
+
{"id": "evaluation_normal_0059", "index": 59, "difficulty": "normal", "eq1_id": 3, "eq2_id": 932, "equation1": "x = x * x", "equation2": "x = y * ((y * z) * (y * z))", "answer": false}
|
| 60 |
+
{"id": "evaluation_normal_0060", "index": 60, "difficulty": "normal", "eq1_id": 180, "eq2_id": 18, "equation1": "x = (y * y) * (y * y)", "equation2": "x = y * (y * z)", "answer": true}
|
| 61 |
+
{"id": "evaluation_normal_0061", "index": 61, "difficulty": "normal", "eq1_id": 3, "eq2_id": 1079, "equation1": "x = x * x", "equation2": "x = y * ((x * (x * z)) * y)", "answer": false}
|
| 62 |
+
{"id": "evaluation_normal_0062", "index": 62, "difficulty": "normal", "eq1_id": 182, "eq2_id": 1806, "equation1": "x = (y * y) * (z * x)", "equation2": "x = (y * z) * ((w * x) * x)", "answer": true}
|
| 63 |
+
{"id": "evaluation_normal_0063", "index": 63, "difficulty": "normal", "eq1_id": 3, "eq2_id": 1418, "equation1": "x = x * x", "equation2": "x = y * (((z * w) * w) * w)", "answer": false}
|
| 64 |
+
{"id": "evaluation_normal_0064", "index": 64, "difficulty": "normal", "eq1_id": 208, "eq2_id": 2476, "equation1": "x = (x * (y * x)) * x", "equation2": "x = (x * ((y * z) * x)) * x", "answer": true}
|
| 65 |
+
{"id": "evaluation_normal_0065", "index": 65, "difficulty": "normal", "eq1_id": 3, "eq2_id": 1891, "equation1": "x = x * x", "equation2": "x = (y * (x * x)) * (z * y)", "answer": false}
|
| 66 |
+
{"id": "evaluation_normal_0066", "index": 66, "difficulty": "normal", "eq1_id": 218, "eq2_id": 2696, "equation1": "x = (y * (x * x)) * x", "equation2": "x = ((y * x) * (x * x)) * x", "answer": true}
|
| 67 |
+
{"id": "evaluation_normal_0067", "index": 67, "difficulty": "normal", "eq1_id": 3, "eq2_id": 2102, "equation1": "x = x * x", "equation2": "x = ((y * x) * y) * (y * z)", "answer": false}
|
| 68 |
+
{"id": "evaluation_normal_0068", "index": 68, "difficulty": "normal", "eq1_id": 271, "eq2_id": 3319, "equation1": "x = ((y * x) * x) * y", "equation2": "x * y = x * (y * (y * y))", "answer": true}
|
| 69 |
+
{"id": "evaluation_normal_0069", "index": 69, "difficulty": "normal", "eq1_id": 349, "eq2_id": 730, "equation1": "x * y = z * (y * w)", "equation2": "x = y * (y * ((z * y) * w))", "answer": false}
|
| 70 |
+
{"id": "evaluation_normal_0070", "index": 70, "difficulty": "normal", "eq1_id": 74, "eq2_id": 3350, "equation1": "x = y * (y * (x * z))", "equation2": "x * y = y * (x * (z * z))", "answer": true}
|
| 71 |
+
{"id": "evaluation_normal_0071", "index": 71, "difficulty": "normal", "eq1_id": 1155, "eq2_id": 2109, "equation1": "x = y * ((z * (x * z)) * y)", "equation2": "x = ((y * x) * z) * (x * z)", "answer": false}
|
| 72 |
+
{"id": "evaluation_normal_0072", "index": 72, "difficulty": "normal", "eq1_id": 178, "eq2_id": 3935, "equation1": "x = (y * y) * (x * z)", "equation2": "x * y = (x * (z * x)) * y", "answer": true}
|
| 73 |
+
{"id": "evaluation_normal_0073", "index": 73, "difficulty": "normal", "eq1_id": 1547, "eq2_id": 509, "equation1": "x = (y * y) * (z * (w * x))", "equation2": "x = y * (y * (x * (z * w)))", "answer": false}
|
| 74 |
+
{"id": "evaluation_normal_0074", "index": 74, "difficulty": "normal", "eq1_id": 485, "eq2_id": 4401, "equation1": "x = y * (x * (z * (x * z)))", "equation2": "x * (x * y) = (x * z) * x", "answer": true}
|
| 75 |
+
{"id": "evaluation_normal_0075", "index": 75, "difficulty": "normal", "eq1_id": 2420, "eq2_id": 3002, "equation1": "x = (y * (z * (w * y))) * x", "equation2": "x = ((y * (z * y)) * w) * x", "answer": false}
|
| 76 |
+
{"id": "evaluation_normal_0076", "index": 76, "difficulty": "normal", "eq1_id": 502, "eq2_id": 774, "equation1": "x = y * (y * (x * (x * z)))", "equation2": "x = y * (z * ((z * x) * x))", "answer": true}
|
| 77 |
+
{"id": "evaluation_normal_0077", "index": 77, "difficulty": "normal", "eq1_id": 3289, "eq2_id": 3656, "equation1": "x * x = y * (z * (x * y))", "equation2": "x * y = z * ((w * u) * w)", "answer": false}
|
| 78 |
+
{"id": "evaluation_normal_0078", "index": 78, "difficulty": "normal", "eq1_id": 542, "eq2_id": 4205, "equation1": "x = y * (z * (x * (y * y)))", "equation2": "x * y = ((z * x) * w) * z", "answer": true}
|
| 79 |
+
{"id": "evaluation_normal_0079", "index": 79, "difficulty": "normal", "eq1_id": 3303, "eq2_id": 3390, "equation1": "x * x = y * (z * (w * w))", "equation2": "x * y = z * (x * (z * w))", "answer": false}
|
| 80 |
+
{"id": "evaluation_normal_0080", "index": 80, "difficulty": "normal", "eq1_id": 742, "eq2_id": 2355, "equation1": "x = y * (z * ((x * x) * z))", "equation2": "x = (y * (y * (z * z))) * x", "answer": true}
|
| 81 |
+
{"id": "evaluation_normal_0081", "index": 81, "difficulty": "normal", "eq1_id": 3398, "eq2_id": 3455, "equation1": "x * y = z * (y * (x * z))", "equation2": "x * y = z * (w * (u * v))", "answer": false}
|
| 82 |
+
{"id": "evaluation_normal_0082", "index": 82, "difficulty": "normal", "eq1_id": 857, "eq2_id": 3670, "equation1": "x = x * ((y * z) * (y * y))", "equation2": "x * x = (x * y) * (z * x)", "answer": true}
|
| 83 |
+
{"id": "evaluation_normal_0083", "index": 83, "difficulty": "normal", "eq1_id": 3455, "eq2_id": 1757, "equation1": "x * y = z * (w * (u * v))", "equation2": "x = (y * z) * ((x * x) * z)", "answer": false}
|
| 84 |
+
{"id": "evaluation_normal_0084", "index": 84, "difficulty": "normal", "eq1_id": 868, "eq2_id": 438, "equation1": "x = x * ((y * z) * (w * u))", "equation2": "x = x * (y * (y * (x * z)))", "answer": true}
|
| 85 |
+
{"id": "evaluation_normal_0085", "index": 85, "difficulty": "normal", "eq1_id": 3489, "eq2_id": 3991, "equation1": "x * x = y * ((y * z) * z)", "equation2": "x * y = (z * (x * x)) * w", "answer": false}
|
| 86 |
+
{"id": "evaluation_normal_0086", "index": 86, "difficulty": "normal", "eq1_id": 1013, "eq2_id": 1003, "equation1": "x = y * ((z * w) * (w * u))", "equation2": "x = y * ((z * w) * (y * u))", "answer": true}
|
| 87 |
+
{"id": "evaluation_normal_0087", "index": 87, "difficulty": "normal", "eq1_id": 3501, "eq2_id": 41, "equation1": "x * x = y * ((z * z) * z)", "equation2": "x * x = y * z", "answer": false}
|
| 88 |
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{"id": "evaluation_normal_0088", "index": 88, "difficulty": "normal", "eq1_id": 1066, "eq2_id": 3732, "equation1": "x = x * ((y * (z * z)) * w)", "equation2": "x * y = (x * z) * (x * y)", "answer": true}
|
| 89 |
+
{"id": "evaluation_normal_0089", "index": 89, "difficulty": "normal", "eq1_id": 3502, "eq2_id": 4024, "equation1": "x * x = y * ((z * z) * w)", "equation2": "x * y = (z * (z * x)) * z", "answer": false}
|
| 90 |
+
{"id": "evaluation_normal_0090", "index": 90, "difficulty": "normal", "eq1_id": 1127, "eq2_id": 334, "equation1": "x = y * ((y * (y * z)) * z)", "equation2": "x * y = y * (x * z)", "answer": true}
|
| 91 |
+
{"id": "evaluation_normal_0091", "index": 91, "difficulty": "normal", "eq1_id": 3573, "eq2_id": 3415, "equation1": "x * y = y * ((z * z) * x)", "equation2": "x * y = z * (z * (x * z))", "answer": false}
|
| 92 |
+
{"id": "evaluation_normal_0092", "index": 92, "difficulty": "normal", "eq1_id": 1555, "eq2_id": 123, "equation1": "x = (y * z) * (x * (x * w))", "equation2": "x = y * ((x * z) * w)", "answer": true}
|
| 93 |
+
{"id": "evaluation_normal_0093", "index": 93, "difficulty": "normal", "eq1_id": 3682, "eq2_id": 3801, "equation1": "x * x = (y * x) * (z * z)", "equation2": "x * y = (z * x) * (w * u)", "answer": false}
|
| 94 |
+
{"id": "evaluation_normal_0094", "index": 94, "difficulty": "normal", "eq1_id": 1703, "eq2_id": 1488, "equation1": "x = (y * x) * ((z * x) * z)", "equation2": "x = (y * x) * (y * (x * x))", "answer": true}
|
| 95 |
+
{"id": "evaluation_normal_0095", "index": 95, "difficulty": "normal", "eq1_id": 3898, "eq2_id": 410, "equation1": "x * x = (y * (z * x)) * y", "equation2": "x * y = (z * w) * u", "answer": false}
|
| 96 |
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{"id": "evaluation_normal_0096", "index": 96, "difficulty": "normal", "eq1_id": 1757, "eq2_id": 1069, "equation1": "x = (y * z) * ((x * x) * z)", "equation2": "x = x * ((y * (z * w)) * z)", "answer": true}
|
| 97 |
+
{"id": "evaluation_normal_0097", "index": 97, "difficulty": "normal", "eq1_id": 4103, "eq2_id": 3589, "equation1": "x * x = ((y * z) * x) * w", "equation2": "x * y = z * ((x * y) * w)", "answer": false}
|
| 98 |
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{"id": "evaluation_normal_0098", "index": 98, "difficulty": "normal", "eq1_id": 1914, "eq2_id": 3511, "equation1": "x = (y * (x * z)) * (z * z)", "equation2": "x * y = x * ((x * y) * x)", "answer": true}
|
| 99 |
+
{"id": "evaluation_normal_0099", "index": 99, "difficulty": "normal", "eq1_id": 4107, "eq2_id": 3767, "equation1": "x * x = ((y * z) * y) * w", "equation2": "x * y = (y * y) * (z * w)", "answer": false}
|
| 100 |
+
{"id": "evaluation_normal_0100", "index": 100, "difficulty": "normal", "eq1_id": 2136, "eq2_id": 4498, "equation1": "x = ((y * y) * y) * (x * z)", "equation2": "x * (y * y) = (z * z) * y", "answer": true}
|
| 101 |
+
{"id": "evaluation_normal_0101", "index": 101, "difficulty": "normal", "eq1_id": 4363, "eq2_id": 3990, "equation1": "x * (y * z) = y * (x * w)", "equation2": "x * y = (z * (x * x)) * z", "answer": false}
|
| 102 |
+
{"id": "evaluation_normal_0102", "index": 102, "difficulty": "normal", "eq1_id": 2175, "eq2_id": 4478, "equation1": "x = ((y * z) * x) * (w * z)", "equation2": "x * (y * y) = (x * z) * w", "answer": true}
|
| 103 |
+
{"id": "evaluation_normal_0103", "index": 103, "difficulty": "normal", "eq1_id": 4528, "eq2_id": 4582, "equation1": "x * (y * z) = (y * y) * y", "equation2": "x * (y * z) = (w * u) * v", "answer": false}
|
| 104 |
+
{"id": "evaluation_normal_0104", "index": 104, "difficulty": "normal", "eq1_id": 2245, "eq2_id": 4068, "equation1": "x = (x * (x * (y * x))) * z", "equation2": "x * x = ((x * x) * y) * y", "answer": true}
|
| 105 |
+
{"id": "evaluation_normal_0105", "index": 105, "difficulty": "normal", "eq1_id": 4539, "eq2_id": 4211, "equation1": "x * (y * z) = (y * w) * u", "equation2": "x * y = ((z * y) * x) * w", "answer": false}
|
| 106 |
+
{"id": "evaluation_normal_0106", "index": 106, "difficulty": "normal", "eq1_id": 2298, "eq2_id": 309, "equation1": "x = (y * (x * (x * z))) * z", "equation2": "x * x = x * (y * x)", "answer": true}
|
| 107 |
+
{"id": "evaluation_normal_0107", "index": 107, "difficulty": "normal", "eq1_id": 4566, "eq2_id": 730, "equation1": "x * (y * z) = (w * y) * u", "equation2": "x = y * (y * ((z * y) * w))", "answer": false}
|
| 108 |
+
{"id": "evaluation_normal_0108", "index": 108, "difficulty": "normal", "eq1_id": 2510, "eq2_id": 1723, "equation1": "x = (y * ((x * y) * z)) * y", "equation2": "x = (y * y) * ((x * y) * z)", "answer": true}
|
| 109 |
+
{"id": "evaluation_normal_0109", "index": 109, "difficulty": "normal", "eq1_id": 4582, "eq2_id": 732, "equation1": "x * (y * z) = (w * u) * v", "equation2": "x = y * (y * ((z * z) * y))", "answer": false}
|
| 110 |
+
{"id": "evaluation_normal_0110", "index": 110, "difficulty": "normal", "eq1_id": 2514, "eq2_id": 4071, "equation1": "x = (y * ((x * z) * x)) * y", "equation2": "x * x = ((x * y) * x) * y", "answer": true}
|
| 111 |
+
{"id": "evaluation_normal_0111", "index": 111, "difficulty": "normal", "eq1_id": 4582, "eq2_id": 3643, "equation1": "x * (y * z) = (w * u) * v", "equation2": "x * y = z * ((w * z) * x)", "answer": false}
|
| 112 |
+
{"id": "evaluation_normal_0112", "index": 112, "difficulty": "normal", "eq1_id": 2546, "eq2_id": 4209, "equation1": "x = (y * ((y * y) * z)) * x", "equation2": "x * y = ((z * y) * x) * y", "answer": true}
|
| 113 |
+
{"id": "evaluation_normal_0113", "index": 113, "difficulty": "normal", "eq1_id": 14, "eq2_id": 3190, "equation1": "x = y * (x * y)", "equation2": "x = (((y * z) * x) * w) * z", "answer": false}
|
| 114 |
+
{"id": "evaluation_normal_0114", "index": 114, "difficulty": "normal", "eq1_id": 2745, "eq2_id": 2980, "equation1": "x = ((y * y) * (y * x)) * z", "equation2": "x = ((y * (z * x)) * y) * w", "answer": true}
|
| 115 |
+
{"id": "evaluation_normal_0115", "index": 115, "difficulty": "normal", "eq1_id": 477, "eq2_id": 1558, "equation1": "x = y * (x * (y * (y * y)))", "equation2": "x = (y * z) * (x * (y * z))", "answer": false}
|
| 116 |
+
{"id": "evaluation_normal_0116", "index": 116, "difficulty": "normal", "eq1_id": 2929, "eq2_id": 309, "equation1": "x = ((y * (x * z)) * z) * z", "equation2": "x * x = x * (y * x)", "answer": true}
|
| 117 |
+
{"id": "evaluation_normal_0117", "index": 117, "difficulty": "normal", "eq1_id": 669, "eq2_id": 769, "equation1": "x = y * (x * ((x * y) * x))", "equation2": "x = y * (z * ((y * w) * x))", "answer": false}
|
| 118 |
+
{"id": "evaluation_normal_0118", "index": 118, "difficulty": "normal", "eq1_id": 3146, "eq2_id": 3890, "equation1": "x = (((y * y) * x) * z) * y", "equation2": "x * x = (y * (y * y)) * x", "answer": true}
|
| 119 |
+
{"id": "evaluation_normal_0119", "index": 119, "difficulty": "normal", "eq1_id": 692, "eq2_id": 2117, "equation1": "x = y * (x * ((z * y) * z))", "equation2": "x = ((y * x) * z) * (z * z)", "answer": false}
|
| 120 |
+
{"id": "evaluation_normal_0120", "index": 120, "difficulty": "normal", "eq1_id": 3354, "eq2_id": 3670, "equation1": "x * y = y * (y * (x * z))", "equation2": "x * x = (x * y) * (z * x)", "answer": true}
|
| 121 |
+
{"id": "evaluation_normal_0121", "index": 121, "difficulty": "normal", "eq1_id": 1073, "eq2_id": 2417, "equation1": "x = y * ((x * (x * x)) * y)", "equation2": "x = (y * (z * (w * x))) * z", "answer": false}
|
| 122 |
+
{"id": "evaluation_normal_0122", "index": 122, "difficulty": "normal", "eq1_id": 3764, "eq2_id": 3768, "equation1": "x * y = (y * y) * (z * x)", "equation2": "x * y = (y * z) * (x * x)", "answer": true}
|
| 123 |
+
{"id": "evaluation_normal_0123", "index": 123, "difficulty": "normal", "eq1_id": 1113, "eq2_id": 1136, "equation1": "x = y * ((y * (x * y)) * y)", "equation2": "x = y * ((y * (z * y)) * w)", "answer": false}
|
| 124 |
+
{"id": "evaluation_normal_0124", "index": 124, "difficulty": "normal", "eq1_id": 225, "eq2_id": 14, "equation1": "x = (y * (x * z)) * y", "equation2": "x = y * (x * y)", "answer": true}
|
| 125 |
+
{"id": "evaluation_normal_0125", "index": 125, "difficulty": "normal", "eq1_id": 1113, "eq2_id": 2439, "equation1": "x = y * ((y * (x * y)) * y)", "equation2": "x = (y * (z * (w * u))) * u", "answer": false}
|
| 126 |
+
{"id": "evaluation_normal_0126", "index": 126, "difficulty": "normal", "eq1_id": 226, "eq2_id": 3996, "equation1": "x = (y * (x * z)) * z", "equation2": "x * y = (z * (x * z)) * x", "answer": true}
|
| 127 |
+
{"id": "evaluation_normal_0127", "index": 127, "difficulty": "normal", "eq1_id": 1152, "eq2_id": 953, "equation1": "x = y * ((z * (x * y)) * z)", "equation2": "x = y * ((z * x) * (z * z))", "answer": false}
|
| 128 |
+
{"id": "evaluation_normal_0128", "index": 128, "difficulty": "normal", "eq1_id": 505, "eq2_id": 2035, "equation1": "x = y * (y * (x * (y * z)))", "equation2": "x = ((x * x) * x) * (x * x)", "answer": true}
|
| 129 |
+
{"id": "evaluation_normal_0129", "index": 129, "difficulty": "normal", "eq1_id": 1485, "eq2_id": 1693, "equation1": "x = (y * x) * (x * (z * y))", "equation2": "x = (y * x) * ((y * x) * z)", "answer": false}
|
| 130 |
+
{"id": "evaluation_normal_0130", "index": 130, "difficulty": "normal", "eq1_id": 844, "eq2_id": 3725, "equation1": "x = x * ((y * y) * (x * z))", "equation2": "x * y = (x * y) * (y * y)", "answer": true}
|
| 131 |
+
{"id": "evaluation_normal_0131", "index": 131, "difficulty": "normal", "eq1_id": 1504, "eq2_id": 2102, "equation1": "x = (y * x) * (z * (y * z))", "equation2": "x = ((y * x) * y) * (y * z)", "answer": false}
|
| 132 |
+
{"id": "evaluation_normal_0132", "index": 132, "difficulty": "normal", "eq1_id": 871, "eq2_id": 4268, "equation1": "x = y * ((x * x) * (x * z))", "equation2": "x * (x * x) = x * (x * y)", "answer": true}
|
| 133 |
+
{"id": "evaluation_normal_0133", "index": 133, "difficulty": "normal", "eq1_id": 1, "eq2_id": 1477, "equation1": "x = x", "equation2": "x = (x * y) * (z * (w * u))", "answer": false}
|
| 134 |
+
{"id": "evaluation_normal_0134", "index": 134, "difficulty": "normal", "eq1_id": 1070, "eq2_id": 255, "equation1": "x = x * ((y * (z * w)) * w)", "equation2": "x = ((x * x) * x) * x", "answer": true}
|
| 135 |
+
{"id": "evaluation_normal_0135", "index": 135, "difficulty": "normal", "eq1_id": 259, "eq2_id": 664, "equation1": "x = ((x * x) * y) * z", "equation2": "x = x * (y * ((z * w) * w))", "answer": false}
|
| 136 |
+
{"id": "evaluation_normal_0136", "index": 136, "difficulty": "normal", "eq1_id": 512, "eq2_id": 1387, "equation1": "x = y * (y * (y * (x * z)))", "equation2": "x = y * (((z * z) * y) * x)", "answer": true}
|
| 137 |
+
{"id": "evaluation_normal_0137", "index": 137, "difficulty": "normal", "eq1_id": 926, "eq2_id": 2034, "equation1": "x = y * ((y * z) * (x * x))", "equation2": "x = (y * (z * w)) * (u * v)", "answer": false}
|
| 138 |
+
{"id": "evaluation_normal_0138", "index": 138, "difficulty": "normal", "eq1_id": 671, "eq2_id": 2576, "equation1": "x = y * (x * ((x * y) * z))", "equation2": "x = (y * ((z * x) * z)) * y", "answer": true}
|
| 139 |
+
{"id": "evaluation_normal_0139", "index": 139, "difficulty": "normal", "eq1_id": 1098, "eq2_id": 1725, "equation1": "x = y * ((x * (z * y)) * z)", "equation2": "x = (y * y) * ((x * z) * y)", "answer": false}
|
| 140 |
+
{"id": "evaluation_normal_0140", "index": 140, "difficulty": "normal", "eq1_id": 673, "eq2_id": 3776, "equation1": "x = y * (x * ((x * z) * y))", "equation2": "x * y = (y * z) * (z * x)", "answer": true}
|
| 141 |
+
{"id": "evaluation_normal_0141", "index": 141, "difficulty": "normal", "eq1_id": 1485, "eq2_id": 678, "equation1": "x = (y * x) * (x * (z * y))", "equation2": "x = y * (x * ((y * x) * z))", "answer": false}
|
| 142 |
+
{"id": "evaluation_normal_0142", "index": 142, "difficulty": "normal", "eq1_id": 697, "eq2_id": 1503, "equation1": "x = y * (x * ((z * z) * w))", "equation2": "x = (y * x) * (z * (y * y))", "answer": true}
|
| 143 |
+
{"id": "evaluation_normal_0143", "index": 143, "difficulty": "normal", "eq1_id": 3195, "eq2_id": 2917, "equation1": "x = (((y * z) * y) * x) * z", "equation2": "x = ((y * (x * y)) * z) * z", "answer": false}
|
| 144 |
+
{"id": "evaluation_normal_0144", "index": 144, "difficulty": "normal", "eq1_id": 773, "eq2_id": 969, "equation1": "x = y * (z * ((y * w) * u))", "equation2": "x = y * ((z * y) * (z * y))", "answer": true}
|
| 145 |
+
{"id": "evaluation_normal_0145", "index": 145, "difficulty": "normal", "eq1_id": 3420, "eq2_id": 2220, "equation1": "x * y = z * (z * (y * w))", "equation2": "x = ((y * z) * w) * (y * w)", "answer": false}
|
| 146 |
+
{"id": "evaluation_normal_0146", "index": 146, "difficulty": "normal", "eq1_id": 1080, "eq2_id": 3151, "equation1": "x = y * ((x * (x * z)) * z)", "equation2": "x = (((y * y) * y) * x) * z", "answer": true}
|
| 147 |
+
{"id": "evaluation_normal_0147", "index": 147, "difficulty": "normal", "eq1_id": 3488, "eq2_id": 3394, "equation1": "x * x = y * ((y * z) * y)", "equation2": "x * y = z * (x * (w * w))", "answer": false}
|
| 148 |
+
{"id": "evaluation_normal_0148", "index": 148, "difficulty": "normal", "eq1_id": 1094, "eq2_id": 2772, "equation1": "x = y * ((x * (z * x)) * z)", "equation2": "x = ((y * z) * (x * x)) * z", "answer": true}
|
| 149 |
+
{"id": "evaluation_normal_0149", "index": 149, "difficulty": "normal", "eq1_id": 3498, "eq2_id": 3977, "equation1": "x * x = y * ((z * y) * w)", "equation2": "x * y = (y * (z * y)) * z", "answer": false}
|
| 150 |
+
{"id": "evaluation_normal_0150", "index": 150, "difficulty": "normal", "eq1_id": 1159, "eq2_id": 1706, "equation1": "x = y * ((z * (x * w)) * y)", "equation2": "x = (y * x) * ((z * y) * y)", "answer": true}
|
| 151 |
+
{"id": "evaluation_normal_0151", "index": 151, "difficulty": "normal", "eq1_id": 3884, "eq2_id": 338, "equation1": "x * x = (y * (x * z)) * y", "equation2": "x * y = y * (z * x)", "answer": false}
|
| 152 |
+
{"id": "evaluation_normal_0152", "index": 152, "difficulty": "normal", "eq1_id": 1213, "eq2_id": 4092, "equation1": "x = y * ((z * (w * w)) * y)", "equation2": "x * x = ((y * y) * x) * z", "answer": true}
|
| 153 |
+
{"id": "evaluation_normal_0153", "index": 153, "difficulty": "normal", "eq1_id": 3951, "eq2_id": 3454, "equation1": "x * y = (y * (x * x)) * x", "equation2": "x * y = z * (w * (u * u))", "answer": false}
|
| 154 |
+
{"id": "evaluation_normal_0154", "index": 154, "difficulty": "normal", "eq1_id": 1367, "eq2_id": 3599, "equation1": "x = y * (((z * y) * x) * y)", "equation2": "x * y = z * ((y * x) * x)", "answer": true}
|
| 155 |
+
{"id": "evaluation_normal_0155", "index": 155, "difficulty": "normal", "eq1_id": 3978, "eq2_id": 2999, "equation1": "x * y = (y * (z * y)) * w", "equation2": "x = ((y * (z * y)) * z) * y", "answer": false}
|
| 156 |
+
{"id": "evaluation_normal_0156", "index": 156, "difficulty": "normal", "eq1_id": 1605, "eq2_id": 587, "equation1": "x = (y * z) * (w * (x * z))", "equation2": "x = y * (z * (z * (w * u)))", "answer": true}
|
| 157 |
+
{"id": "evaluation_normal_0157", "index": 157, "difficulty": "normal", "eq1_id": 4085, "eq2_id": 3389, "equation1": "x * x = ((y * x) * y) * z", "equation2": "x * y = z * (x * (z * z))", "answer": false}
|
| 158 |
+
{"id": "evaluation_normal_0158", "index": 158, "difficulty": "normal", "eq1_id": 1859, "eq2_id": 206, "equation1": "x = (x * (y * y)) * (x * z)", "equation2": "x = (x * (x * y)) * y", "answer": true}
|
| 159 |
+
{"id": "evaluation_normal_0159", "index": 159, "difficulty": "normal", "eq1_id": 4115, "eq2_id": 4021, "equation1": "x * x = ((y * z) * w) * w", "equation2": "x * y = (z * (y * w)) * u", "answer": false}
|
| 160 |
+
{"id": "evaluation_normal_0160", "index": 160, "difficulty": "normal", "eq1_id": 1883, "eq2_id": 2250, "equation1": "x = (x * (y * z)) * (w * u)", "equation2": "x = (x * (x * (y * z))) * y", "answer": true}
|
| 161 |
+
{"id": "evaluation_normal_0161", "index": 161, "difficulty": "normal", "eq1_id": 4295, "eq2_id": 46, "equation1": "x * (x * y) = y * (z * x)", "equation2": "x * y = z * w", "answer": false}
|
| 162 |
+
{"id": "evaluation_normal_0162", "index": 162, "difficulty": "normal", "eq1_id": 1907, "eq2_id": 1587, "equation1": "x = (y * (x * z)) * (x * w)", "equation2": "x = (y * z) * (z * (x * y))", "answer": true}
|
| 163 |
+
{"id": "evaluation_normal_0163", "index": 163, "difficulty": "normal", "eq1_id": 4309, "eq2_id": 3344, "equation1": "x * (x * y) = z * (w * x)", "equation2": "x * y = y * (x * (x * z))", "answer": false}
|
| 164 |
+
{"id": "evaluation_normal_0164", "index": 164, "difficulty": "normal", "eq1_id": 1961, "eq2_id": 1824, "equation1": "x = (y * (z * x)) * (x * w)", "equation2": "x = (y * z) * ((w * w) * w)", "answer": true}
|
| 165 |
+
{"id": "evaluation_normal_0165", "index": 165, "difficulty": "normal", "eq1_id": 4331, "eq2_id": 3393, "equation1": "x * (y * x) = z * (y * y)", "equation2": "x * y = z * (x * (w * z))", "answer": false}
|
| 166 |
+
{"id": "evaluation_normal_0166", "index": 166, "difficulty": "normal", "eq1_id": 1994, "eq2_id": 4524, "equation1": "x = (y * (z * z)) * (x * z)", "equation2": "x * (y * z) = (y * x) * y", "answer": true}
|
| 167 |
+
{"id": "evaluation_normal_0167", "index": 167, "difficulty": "normal", "eq1_id": 4331, "eq2_id": 4185, "equation1": "x * (y * x) = z * (y * y)", "equation2": "x * y = ((y * z) * z) * w", "answer": false}
|
| 168 |
+
{"id": "evaluation_normal_0168", "index": 168, "difficulty": "normal", "eq1_id": 2020, "eq2_id": 1743, "equation1": "x = (y * (z * w)) * (z * y)", "equation2": "x = (y * y) * ((z * y) * y)", "answer": true}
|
| 169 |
+
{"id": "evaluation_normal_0169", "index": 169, "difficulty": "normal", "eq1_id": 4356, "eq2_id": 3393, "equation1": "x * (y * y) = z * (w * u)", "equation2": "x * y = z * (x * (w * z))", "answer": false}
|
| 170 |
+
{"id": "evaluation_normal_0170", "index": 170, "difficulty": "normal", "eq1_id": 2047, "eq2_id": 2055, "equation1": "x = ((x * x) * y) * (z * y)", "equation2": "x = ((x * y) * x) * (y * z)", "answer": true}
|
| 171 |
+
{"id": "evaluation_normal_0171", "index": 171, "difficulty": "normal", "eq1_id": 4366, "eq2_id": 4004, "equation1": "x * (y * z) = y * (w * x)", "equation2": "x * y = (z * (x * w)) * u", "answer": false}
|
| 172 |
+
{"id": "evaluation_normal_0172", "index": 172, "difficulty": "normal", "eq1_id": 2213, "eq2_id": 4559, "equation1": "x = ((y * z) * w) * (x * y)", "equation2": "x * (y * z) = (w * x) * z", "answer": true}
|
| 173 |
+
{"id": "evaluation_normal_0173", "index": 173, "difficulty": "normal", "eq1_id": 4377, "eq2_id": 4199, "equation1": "x * (y * z) = w * (z * u)", "equation2": "x * y = ((z * x) * z) * x", "answer": false}
|
| 174 |
+
{"id": "evaluation_normal_0174", "index": 174, "difficulty": "normal", "eq1_id": 2280, "eq2_id": 3086, "equation1": "x = (x * (y * (z * y))) * w", "equation2": "x = (((x * y) * z) * x) * y", "answer": true}
|
| 175 |
+
{"id": "evaluation_normal_0175", "index": 175, "difficulty": "normal", "eq1_id": 4431, "eq2_id": 3202, "equation1": "x * (x * y) = (z * w) * u", "equation2": "x = (((y * z) * y) * z) * y", "answer": false}
|
| 176 |
+
{"id": "evaluation_normal_0176", "index": 176, "difficulty": "normal", "eq1_id": 2305, "eq2_id": 2533, "equation1": "x = (y * (x * (y * y))) * z", "equation2": "x = (y * ((y * x) * y)) * x", "answer": true}
|
| 177 |
+
{"id": "evaluation_normal_0177", "index": 177, "difficulty": "normal", "eq1_id": 4444, "eq2_id": 3581, "equation1": "x * (y * x) = (y * x) * z", "equation2": "x * y = y * ((z * w) * u)", "answer": false}
|
| 178 |
+
{"id": "evaluation_normal_0178", "index": 178, "difficulty": "normal", "eq1_id": 2405, "eq2_id": 2609, "equation1": "x = (y * (z * (z * y))) * w", "equation2": "x = (y * ((z * z) * z)) * x", "answer": true}
|
| 179 |
+
{"id": "evaluation_normal_0179", "index": 179, "difficulty": "normal", "eq1_id": 4447, "eq2_id": 4242, "equation1": "x * (y * x) = (y * y) * z", "equation2": "x * y = ((z * w) * x) * x", "answer": false}
|
| 180 |
+
{"id": "evaluation_normal_0180", "index": 180, "difficulty": "normal", "eq1_id": 2426, "eq2_id": 1900, "equation1": "x = (y * (z * (w * z))) * y", "equation2": "x = (y * (x * y)) * (z * x)", "answer": true}
|
| 181 |
+
{"id": "evaluation_normal_0181", "index": 181, "difficulty": "normal", "eq1_id": 4500, "eq2_id": 4028, "equation1": "x * (y * y) = (z * z) * w", "equation2": "x * y = (z * (z * y)) * z", "answer": false}
|
| 182 |
+
{"id": "evaluation_normal_0182", "index": 182, "difficulty": "normal", "eq1_id": 2597, "eq2_id": 3585, "equation1": "x = (y * ((z * y) * w)) * y", "equation2": "x * y = z * ((x * x) * w)", "answer": true}
|
| 183 |
+
{"id": "evaluation_normal_0183", "index": 183, "difficulty": "normal", "eq1_id": 4549, "eq2_id": 4038, "equation1": "x * (y * z) = (z * z) * y", "equation2": "x * y = (z * (z * w)) * u", "answer": false}
|
| 184 |
+
{"id": "evaluation_normal_0184", "index": 184, "difficulty": "normal", "eq1_id": 2615, "eq2_id": 4173, "equation1": "x = (y * ((z * z) * w)) * z", "equation2": "x * y = ((y * y) * z) * w", "answer": true}
|
| 185 |
+
{"id": "evaluation_normal_0185", "index": 185, "difficulty": "normal", "eq1_id": 4580, "eq2_id": 3774, "equation1": "x * (y * z) = (w * u) * w", "equation2": "x * y = (y * z) * (y * z)", "answer": false}
|
| 186 |
+
{"id": "evaluation_normal_0186", "index": 186, "difficulty": "normal", "eq1_id": 2975, "eq2_id": 3927, "equation1": "x = ((y * (z * x)) * x) * z", "equation2": "x * y = (x * (y * y)) * x", "answer": true}
|
| 187 |
+
{"id": "evaluation_normal_0187", "index": 187, "difficulty": "normal", "eq1_id": 4607, "eq2_id": 4169, "equation1": "(x * x) * y = (y * x) * z", "equation2": "x * y = ((y * y) * y) * z", "answer": false}
|
| 188 |
+
{"id": "evaluation_normal_0188", "index": 188, "difficulty": "normal", "eq1_id": 3207, "eq2_id": 2977, "equation1": "x = (((y * z) * y) * w) * z", "equation2": "x = ((y * (z * x)) * y) * x", "answer": true}
|
| 189 |
+
{"id": "evaluation_normal_0189", "index": 189, "difficulty": "normal", "eq1_id": 4692, "eq2_id": 1723, "equation1": "(x * y) * z = (w * z) * u", "equation2": "x = (y * y) * ((x * y) * z)", "answer": false}
|
| 190 |
+
{"id": "evaluation_normal_0190", "index": 190, "difficulty": "normal", "eq1_id": 3381, "eq2_id": 4540, "equation1": "x * y = z * (x * (x * z))", "equation2": "x * (y * z) = (z * x) * x", "answer": true}
|
| 191 |
+
{"id": "evaluation_normal_0191", "index": 191, "difficulty": "normal", "eq1_id": 66, "eq2_id": 1186, "equation1": "x = y * (x * (y * y))", "equation2": "x = y * ((z * (z * y)) * z)", "answer": false}
|
| 192 |
+
{"id": "evaluation_normal_0192", "index": 192, "difficulty": "normal", "eq1_id": 97, "eq2_id": 3837, "equation1": "x = y * (z * (w * w))", "equation2": "x * y = (z * w) * (x * y)", "answer": true}
|
| 193 |
+
{"id": "evaluation_normal_0193", "index": 193, "difficulty": "normal", "eq1_id": 276, "eq2_id": 2358, "equation1": "x = ((y * x) * z) * x", "equation2": "x = (y * (y * (z * z))) * w", "answer": false}
|
| 194 |
+
{"id": "evaluation_normal_0194", "index": 194, "difficulty": "normal", "eq1_id": 220, "eq2_id": 4233, "equation1": "x = (y * (x * x)) * z", "equation2": "x * y = ((z * z) * z) * x", "answer": true}
|
| 195 |
+
{"id": "evaluation_normal_0195", "index": 195, "difficulty": "normal", "eq1_id": 319, "eq2_id": 4223, "equation1": "x * x = y * (z * y)", "equation2": "x * y = ((z * y) * w) * w", "answer": false}
|
| 196 |
+
{"id": "evaluation_normal_0196", "index": 196, "difficulty": "normal", "eq1_id": 979, "eq2_id": 4375, "equation1": "x = y * ((z * z) * (x * z))", "equation2": "x * (y * z) = w * (y * u)", "answer": true}
|
| 197 |
+
{"id": "evaluation_normal_0197", "index": 197, "difficulty": "normal", "eq1_id": 384, "eq2_id": 4020, "equation1": "x * y = (y * x) * x", "equation2": "x * y = (z * (y * w)) * w", "answer": false}
|
| 198 |
+
{"id": "evaluation_normal_0198", "index": 198, "difficulty": "normal", "eq1_id": 1363, "eq2_id": 291, "equation1": "x = y * (((z * x) * w) * z)", "equation2": "x = ((y * z) * x) * y", "answer": true}
|
| 199 |
+
{"id": "evaluation_normal_0199", "index": 199, "difficulty": "normal", "eq1_id": 464, "eq2_id": 1622, "equation1": "x = y * (x * (x * (x * y)))", "equation2": "x = (y * z) * (w * (w * u))", "answer": false}
|
| 200 |
+
{"id": "evaluation_normal_0200", "index": 200, "difficulty": "normal", "eq1_id": 1471, "eq2_id": 3312, "equation1": "x = (x * y) * (z * (z * z))", "equation2": "x * y = x * (x * (z * y))", "answer": true}
|
data/evaluation_order5.jsonl
ADDED
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@@ -0,0 +1,200 @@
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| 1 |
+
{"id": "evaluation_order5_0001", "index": 1, "difficulty": "order5_normal", "eq1_id": 19883, "eq2_id": 7469, "equation1": "x = (y * x) * ((z * (x * x)) * z)", "equation2": "x = x * (y * ((z * (y * x)) * x))", "answer": false}
|
| 2 |
+
{"id": "evaluation_order5_0002", "index": 2, "difficulty": "order5_normal", "eq1_id": 33477, "eq2_id": 8640, "equation1": "x = (y * (((z * z) * w) * y)) * w", "equation2": "x = y * (y * (((z * x) * z) * y))", "answer": true}
|
| 3 |
+
{"id": "evaluation_order5_0003", "index": 3, "difficulty": "order5_normal", "eq1_id": 26207, "eq2_id": 6789, "equation1": "x = (y * ((y * z) * z)) * (x * z)", "equation2": "x = y * (x * ((z * w) * (z * z)))", "answer": false}
|
| 4 |
+
{"id": "evaluation_order5_0004", "index": 4, "difficulty": "order5_normal", "eq1_id": 13760, "eq2_id": 37949, "equation1": "x = y * ((x * ((z * y) * x)) * y)", "equation2": "x = ((y * (z * (w * z))) * w) * z", "answer": true}
|
| 5 |
+
{"id": "evaluation_order5_0005", "index": 5, "difficulty": "order5_normal", "eq1_id": 7869, "eq2_id": 12193, "equation1": "x = y * (z * ((x * (z * y)) * x))", "equation2": "x = y * (((y * z) * w) * (x * w))", "answer": false}
|
| 6 |
+
{"id": "evaluation_order5_0006", "index": 6, "difficulty": "order5_normal", "eq1_id": 26506, "eq2_id": 20227, "equation1": "x = (y * ((z * w) * y)) * (x * y)", "equation2": "x = (y * z) * ((y * (z * y)) * w)", "answer": true}
|
| 7 |
+
{"id": "evaluation_order5_0007", "index": 7, "difficulty": "order5_normal", "eq1_id": 20783, "eq2_id": 40395, "equation1": "x = (y * x) * (((z * y) * z) * x)", "equation2": "x = (((y * (z * y)) * z) * y) * x", "answer": false}
|
| 8 |
+
{"id": "evaluation_order5_0008", "index": 8, "difficulty": "order5_normal", "eq1_id": 32523, "eq2_id": 29366, "equation1": "x = (y * ((z * (y * w)) * y)) * w", "equation2": "x = (x * (y * (y * (z * y)))) * z", "answer": true}
|
| 9 |
+
{"id": "evaluation_order5_0009", "index": 9, "difficulty": "order5_normal", "eq1_id": 35766, "eq2_id": 30805, "equation1": "x = ((y * (y * x)) * (z * x)) * z", "equation2": "x = (y * (z * ((z * y) * x))) * y", "answer": false}
|
| 10 |
+
{"id": "evaluation_order5_0010", "index": 10, "difficulty": "order5_normal", "eq1_id": 4866, "eq2_id": 13621, "equation1": "x = x * (y * (z * (z * (z * w))))", "equation2": "x = x * ((y * ((z * y) * w)) * y)", "answer": true}
|
| 11 |
+
{"id": "evaluation_order5_0011", "index": 11, "difficulty": "order5_normal", "eq1_id": 39872, "eq2_id": 38046, "equation1": "x = (((x * (y * y)) * x) * z) * z", "equation2": "x = ((x * ((x * y) * y)) * x) * x", "answer": false}
|
| 12 |
+
{"id": "evaluation_order5_0012", "index": 12, "difficulty": "order5_normal", "eq1_id": 6118, "eq2_id": 39551, "equation1": "x = y * (z * (x * ((z * y) * w)))", "equation2": "x = (((y * z) * (y * w)) * u) * x", "answer": true}
|
| 13 |
+
{"id": "evaluation_order5_0013", "index": 13, "difficulty": "order5_normal", "eq1_id": 18565, "eq2_id": 33087, "equation1": "x = (y * z) * (z * ((w * y) * x))", "equation2": "x = (y * (((x * z) * w) * x)) * x", "answer": false}
|
| 14 |
+
{"id": "evaluation_order5_0014", "index": 14, "difficulty": "order5_normal", "eq1_id": 8502, "eq2_id": 27144, "equation1": "x = y * (x * (((z * y) * y) * y))", "equation2": "x = ((y * z) * (x * y)) * (x * z)", "answer": true}
|
| 15 |
+
{"id": "evaluation_order5_0015", "index": 15, "difficulty": "order5_normal", "eq1_id": 23163, "eq2_id": 32835, "equation1": "x = ((x * x) * y) * (z * (w * u))", "equation2": "x = (x * (((y * x) * z) * y)) * x", "answer": false}
|
| 16 |
+
{"id": "evaluation_order5_0016", "index": 16, "difficulty": "order5_normal", "eq1_id": 10278, "eq2_id": 17625, "equation1": "x = y * ((x * z) * ((z * z) * z))", "equation2": "x = (y * z) * (y * (w * (w * u)))", "answer": true}
|
| 17 |
+
{"id": "evaluation_order5_0017", "index": 17, "difficulty": "order5_normal", "eq1_id": 27991, "eq2_id": 34956, "equation1": "x = ((y * (y * z)) * w) * (w * x)", "equation2": "x = ((y * y) * ((z * x) * w)) * w", "answer": false}
|
| 18 |
+
{"id": "evaluation_order5_0018", "index": 18, "difficulty": "order5_normal", "eq1_id": 30898, "eq2_id": 35298, "equation1": "x = (y * (z * ((w * y) * y))) * w", "equation2": "x = ((y * z) * ((w * y) * u)) * w", "answer": true}
|
| 19 |
+
{"id": "evaluation_order5_0019", "index": 19, "difficulty": "order5_normal", "eq1_id": 19483, "eq2_id": 33178, "equation1": "x = (y * z) * ((w * x) * (u * x))", "equation2": "x = (y * (((y * y) * z) * z)) * x", "answer": false}
|
| 20 |
+
{"id": "evaluation_order5_0020", "index": 20, "difficulty": "order5_normal", "eq1_id": 40191, "eq2_id": 33243, "equation1": "x = (((y * (y * y)) * z) * y) * y", "equation2": "x = (y * (((y * z) * w) * y)) * x", "answer": true}
|
| 21 |
+
{"id": "evaluation_order5_0021", "index": 21, "difficulty": "order5_normal", "eq1_id": 7542, "eq2_id": 21690, "equation1": "x = y * (x * ((x * (y * y)) * x))", "equation2": "x = (y * (x * z)) * (w * (x * u))", "answer": false}
|
| 22 |
+
{"id": "evaluation_order5_0022", "index": 22, "difficulty": "order5_normal", "eq1_id": 41098, "eq2_id": 38443, "equation1": "x = ((((y * y) * z) * y) * x) * y", "equation2": "x = ((y * ((y * y) * z)) * z) * w", "answer": true}
|
| 23 |
+
{"id": "evaluation_order5_0023", "index": 23, "difficulty": "order5_normal", "eq1_id": 17210, "eq2_id": 13668, "equation1": "x = (y * x) * (x * (z * (w * z)))", "equation2": "x = y * ((x * ((x * x) * x)) * x)", "answer": false}
|
| 24 |
+
{"id": "evaluation_order5_0024", "index": 24, "difficulty": "order5_normal", "eq1_id": 14730, "eq2_id": 7901, "equation1": "x = y * (((y * x) * (z * w)) * z)", "equation2": "x = y * (z * ((x * (w * w)) * u))", "answer": true}
|
| 25 |
+
{"id": "evaluation_order5_0025", "index": 25, "difficulty": "order5_normal", "eq1_id": 28150, "eq2_id": 19117, "equation1": "x = ((y * (z * y)) * w) * (u * x)", "equation2": "x = (y * y) * ((x * z) * (w * u))", "answer": false}
|
| 26 |
+
{"id": "evaluation_order5_0026", "index": 26, "difficulty": "order5_normal", "eq1_id": 29000, "eq2_id": 12396, "equation1": "x = (((y * z) * y) * z) * (z * z)", "equation2": "x = y * (((z * z) * y) * (z * y))", "answer": true}
|
| 27 |
+
{"id": "evaluation_order5_0027", "index": 27, "difficulty": "order5_normal", "eq1_id": 28227, "eq2_id": 5579, "equation1": "x = ((y * (z * z)) * w) * (u * x)", "equation2": "x = x * (x * (x * ((y * x) * z)))", "answer": false}
|
| 28 |
+
{"id": "evaluation_order5_0028", "index": 28, "difficulty": "order5_normal", "eq1_id": 8373, "eq2_id": 11727, "equation1": "x = x * (y * (((z * z) * z) * z))", "equation2": "x = x * (((x * y) * x) * (x * y))", "answer": true}
|
| 29 |
+
{"id": "evaluation_order5_0029", "index": 29, "difficulty": "order5_normal", "eq1_id": 28959, "eq2_id": 10103, "equation1": "x = (((y * z) * y) * x) * (x * w)", "equation2": "x = x * ((y * z) * ((y * x) * w))", "answer": false}
|
| 30 |
+
{"id": "evaluation_order5_0030", "index": 30, "difficulty": "order5_normal", "eq1_id": 9460, "eq2_id": 20371, "equation1": "x = y * ((y * x) * (z * (y * z)))", "equation2": "x = (y * z) * ((w * (y * y)) * x)", "answer": true}
|
| 31 |
+
{"id": "evaluation_order5_0031", "index": 31, "difficulty": "order5_normal", "eq1_id": 29334, "eq2_id": 35549, "equation1": "x = (x * (y * (x * (z * z)))) * w", "equation2": "x = ((x * (y * z)) * (y * w)) * u", "answer": false}
|
| 32 |
+
{"id": "evaluation_order5_0032", "index": 32, "difficulty": "order5_normal", "eq1_id": 32192, "eq2_id": 37962, "equation1": "x = (y * ((x * (z * y)) * w)) * u", "equation2": "x = ((y * (z * (w * w))) * x) * u", "answer": true}
|
| 33 |
+
{"id": "evaluation_order5_0033", "index": 33, "difficulty": "order5_normal", "eq1_id": 35243, "eq2_id": 31778, "equation1": "x = ((y * z) * ((z * w) * u)) * x", "equation2": "x = (y * ((z * w) * (y * z))) * y", "answer": false}
|
| 34 |
+
{"id": "evaluation_order5_0034", "index": 34, "difficulty": "order5_normal", "eq1_id": 39713, "eq2_id": 20153, "equation1": "x = (((y * z) * (w * w)) * x) * y", "equation2": "x = (y * z) * ((x * (z * z)) * z)", "answer": true}
|
| 35 |
+
{"id": "evaluation_order5_0035", "index": 35, "difficulty": "order5_normal", "eq1_id": 16337, "eq2_id": 19688, "equation1": "x = y * ((((x * y) * x) * x) * y)", "equation2": "x = (x * y) * ((x * (z * w)) * x)", "answer": false}
|
| 36 |
+
{"id": "evaluation_order5_0036", "index": 36, "difficulty": "order5_normal", "eq1_id": 17715, "eq2_id": 15832, "equation1": "x = (y * z) * (w * (x * (y * y)))", "equation2": "x = y * (((z * (y * y)) * w) * z)", "answer": true}
|
| 37 |
+
{"id": "evaluation_order5_0037", "index": 37, "difficulty": "order5_normal", "eq1_id": 24502, "eq2_id": 7985, "equation1": "x = ((y * z) * x) * ((x * z) * x)", "equation2": "x = y * (z * ((z * (x * x)) * x))", "answer": false}
|
| 38 |
+
{"id": "evaluation_order5_0038", "index": 38, "difficulty": "order5_normal", "eq1_id": 12029, "eq2_id": 23162, "equation1": "x = y * (((x * z) * z) * (y * w))", "equation2": "x = ((x * x) * y) * (z * (w * w))", "answer": true}
|
| 39 |
+
{"id": "evaluation_order5_0039", "index": 39, "difficulty": "order5_normal", "eq1_id": 14442, "eq2_id": 8294, "equation1": "x = x * (((y * y) * (y * x)) * y)", "equation2": "x = x * (y * (((y * x) * x) * z))", "answer": false}
|
| 40 |
+
{"id": "evaluation_order5_0040", "index": 40, "difficulty": "order5_normal", "eq1_id": 6605, "eq2_id": 32838, "equation1": "x = x * (y * ((z * y) * (w * y)))", "equation2": "x = (x * (((y * x) * z) * y)) * w", "answer": true}
|
| 41 |
+
{"id": "evaluation_order5_0041", "index": 41, "difficulty": "order5_normal", "eq1_id": 27865, "eq2_id": 10681, "equation1": "x = ((y * (y * x)) * y) * (y * y)", "equation2": "x = y * ((z * z) * ((w * z) * u))", "answer": false}
|
| 42 |
+
{"id": "evaluation_order5_0042", "index": 42, "difficulty": "order5_normal", "eq1_id": 20115, "eq2_id": 21404, "equation1": "x = (y * z) * ((x * (x * y)) * z)", "equation2": "x = (x * (x * y)) * (z * (z * w))", "answer": true}
|
| 43 |
+
{"id": "evaluation_order5_0043", "index": 43, "difficulty": "order5_normal", "eq1_id": 37348, "eq2_id": 39106, "equation1": "x = ((y * (x * (x * x))) * x) * y", "equation2": "x = (((y * x) * (x * x)) * y) * z", "answer": false}
|
| 44 |
+
{"id": "evaluation_order5_0044", "index": 44, "difficulty": "order5_normal", "eq1_id": 29909, "eq2_id": 39218, "equation1": "x = (y * (z * (y * (w * u)))) * v", "equation2": "x = (((y * x) * (z * z)) * z) * y", "answer": true}
|
| 45 |
+
{"id": "evaluation_order5_0045", "index": 45, "difficulty": "order5_normal", "eq1_id": 40516, "eq2_id": 16758, "equation1": "x = (((y * (z * w)) * x) * y) * x", "equation2": "x = y * ((((z * z) * x) * x) * w)", "answer": false}
|
| 46 |
+
{"id": "evaluation_order5_0046", "index": 46, "difficulty": "order5_normal", "eq1_id": 14213, "eq2_id": 20118, "equation1": "x = y * ((z * ((w * x) * z)) * z)", "equation2": "x = (y * z) * ((x * (x * z)) * y)", "answer": true}
|
| 47 |
+
{"id": "evaluation_order5_0047", "index": 47, "difficulty": "order5_normal", "eq1_id": 27741, "eq2_id": 15287, "equation1": "x = ((y * (x * y)) * x) * (y * y)", "equation2": "x = x * (((y * (x * y)) * z) * x)", "answer": false}
|
| 48 |
+
{"id": "evaluation_order5_0048", "index": 48, "difficulty": "order5_normal", "eq1_id": 30999, "eq2_id": 19111, "equation1": "x = (y * (z * ((w * u) * v))) * y", "equation2": "x = (y * y) * ((x * z) * (z * z))", "answer": true}
|
| 49 |
+
{"id": "evaluation_order5_0049", "index": 49, "difficulty": "order5_normal", "eq1_id": 29458, "eq2_id": 36813, "equation1": "x = (y * (x * (x * (x * y)))) * y", "equation2": "x = (((y * z) * x) * (z * y)) * w", "answer": false}
|
| 50 |
+
{"id": "evaluation_order5_0050", "index": 50, "difficulty": "order5_normal", "eq1_id": 8855, "eq2_id": 22927, "equation1": "x = y * (z * (((y * w) * w) * u))", "equation2": "x = (y * (z * z)) * ((y * w) * u)", "answer": true}
|
| 51 |
+
{"id": "evaluation_order5_0051", "index": 51, "difficulty": "order5_normal", "eq1_id": 7917, "eq2_id": 19466, "equation1": "x = y * (z * ((y * (x * z)) * y))", "equation2": "x = (y * z) * ((w * x) * (x * w))", "answer": false}
|
| 52 |
+
{"id": "evaluation_order5_0052", "index": 52, "difficulty": "order5_normal", "eq1_id": 20769, "eq2_id": 5525, "equation1": "x = (y * x) * (((z * x) * z) * w)", "equation2": "x = y * (z * (w * (w * (w * y))))", "answer": true}
|
| 53 |
+
{"id": "evaluation_order5_0053", "index": 53, "difficulty": "order5_normal", "eq1_id": 8489, "eq2_id": 19303, "equation1": "x = y * (x * (((z * x) * z) * y))", "equation2": "x = (y * z) * ((x * w) * (u * x))", "answer": false}
|
| 54 |
+
{"id": "evaluation_order5_0054", "index": 54, "difficulty": "order5_normal", "eq1_id": 33532, "eq2_id": 30822, "equation1": "x = (y * (((z * w) * y) * z)) * y", "equation2": "x = (y * (z * ((z * z) * x))) * y", "answer": true}
|
| 55 |
+
{"id": "evaluation_order5_0055", "index": 55, "difficulty": "order5_normal", "eq1_id": 24124, "eq2_id": 16112, "equation1": "x = ((x * y) * z) * ((x * z) * y)", "equation2": "x = x * ((((x * y) * x) * x) * y)", "answer": false}
|
| 56 |
+
{"id": "evaluation_order5_0056", "index": 56, "difficulty": "order5_normal", "eq1_id": 14265, "eq2_id": 28339, "equation1": "x = y * ((z * ((w * z) * z)) * z)", "equation2": "x = ((y * (z * w)) * u) * (x * z)", "answer": true}
|
| 57 |
+
{"id": "evaluation_order5_0057", "index": 57, "difficulty": "order5_normal", "eq1_id": 24537, "eq2_id": 23700, "equation1": "x = ((y * z) * x) * ((z * z) * y)", "equation2": "x = ((y * z) * y) * (x * (y * z))", "answer": false}
|
| 58 |
+
{"id": "evaluation_order5_0058", "index": 58, "difficulty": "order5_normal", "eq1_id": 31335, "eq2_id": 38127, "equation1": "x = (y * ((x * z) * (w * x))) * z", "equation2": "x = ((x * ((y * y) * y)) * z) * y", "answer": true}
|
| 59 |
+
{"id": "evaluation_order5_0059", "index": 59, "difficulty": "order5_normal", "eq1_id": 26734, "eq2_id": 26796, "equation1": "x = ((x * y) * (y * z)) * (y * y)", "equation2": "x = ((x * y) * (z * z)) * (w * u)", "answer": false}
|
| 60 |
+
{"id": "evaluation_order5_0060", "index": 60, "difficulty": "order5_normal", "eq1_id": 13219, "eq2_id": 39142, "equation1": "x = y * ((z * (y * (z * w))) * w)", "equation2": "x = (((y * x) * (y * x)) * y) * y", "answer": true}
|
| 61 |
+
{"id": "evaluation_order5_0061", "index": 61, "difficulty": "order5_normal", "eq1_id": 35640, "eq2_id": 33310, "equation1": "x = ((y * (x * y)) * (y * x)) * x", "equation2": "x = (y * (((z * x) * z) * w)) * x", "answer": false}
|
| 62 |
+
{"id": "evaluation_order5_0062", "index": 62, "difficulty": "order5_normal", "eq1_id": 26611, "eq2_id": 7822, "equation1": "x = (y * ((z * w) * u)) * (u * u)", "equation2": "x = y * (y * ((z * (w * w)) * z))", "answer": true}
|
| 63 |
+
{"id": "evaluation_order5_0063", "index": 63, "difficulty": "order5_normal", "eq1_id": 37539, "eq2_id": 6851, "equation1": "x = ((y * (y * (y * x))) * y) * y", "equation2": "x = y * (y * ((y * y) * (x * y)))", "answer": false}
|
| 64 |
+
{"id": "evaluation_order5_0064", "index": 64, "difficulty": "order5_normal", "eq1_id": 30037, "eq2_id": 21765, "equation1": "x = (y * (z * (w * (y * u)))) * u", "equation2": "x = (y * (y * y)) * (y * (z * x))", "answer": true}
|
| 65 |
+
{"id": "evaluation_order5_0065", "index": 65, "difficulty": "order5_normal", "eq1_id": 6681, "eq2_id": 23774, "equation1": "x = y * (x * ((x * z) * (z * y)))", "equation2": "x = ((y * z) * z) * (x * (x * w))", "answer": false}
|
| 66 |
+
{"id": "evaluation_order5_0066", "index": 66, "difficulty": "order5_normal", "eq1_id": 41402, "eq2_id": 21002, "equation1": "x = ((((y * z) * w) * x) * z) * u", "equation2": "x = (y * z) * (((x * x) * w) * u)", "answer": true}
|
| 67 |
+
{"id": "evaluation_order5_0067", "index": 67, "difficulty": "order5_normal", "eq1_id": 6977, "eq2_id": 23723, "equation1": "x = y * (z * ((x * y) * (y * z)))", "equation2": "x = ((y * z) * y) * (y * (w * x))", "answer": false}
|
| 68 |
+
{"id": "evaluation_order5_0068", "index": 68, "difficulty": "order5_normal", "eq1_id": 21241, "eq2_id": 21453, "equation1": "x = (y * z) * (((w * x) * u) * u)", "equation2": "x = (x * (y * y)) * (x * (z * x))", "answer": true}
|
| 69 |
+
{"id": "evaluation_order5_0069", "index": 69, "difficulty": "order5_normal", "eq1_id": 7629, "eq2_id": 11628, "equation1": "x = y * (x * ((z * (y * z)) * y))", "equation2": "x = y * ((z * (w * z)) * (y * y))", "answer": false}
|
| 70 |
+
{"id": "evaluation_order5_0070", "index": 70, "difficulty": "order5_normal", "eq1_id": 22060, "eq2_id": 28657, "equation1": "x = (y * (z * z)) * (z * (z * y))", "equation2": "x = (((y * x) * z) * x) * (y * z)", "answer": true}
|
| 71 |
+
{"id": "evaluation_order5_0071", "index": 71, "difficulty": "order5_normal", "eq1_id": 14646, "eq2_id": 14945, "equation1": "x = y * (((x * z) * (y * z)) * z)", "equation2": "x = y * (((z * y) * (y * y)) * x)", "answer": false}
|
| 72 |
+
{"id": "evaluation_order5_0072", "index": 72, "difficulty": "order5_normal", "eq1_id": 7148, "eq2_id": 9958, "equation1": "x = y * (z * ((z * z) * (y * z)))", "equation2": "x = x * ((x * x) * ((x * x) * y))", "answer": true}
|
| 73 |
+
{"id": "evaluation_order5_0073", "index": 73, "difficulty": "order5_normal", "eq1_id": 15463, "eq2_id": 8916, "equation1": "x = y * (((x * (y * x)) * y) * y)", "equation2": "x = y * (z * (((z * w) * x) * w))", "answer": false}
|
| 74 |
+
{"id": "evaluation_order5_0074", "index": 74, "difficulty": "order5_normal", "eq1_id": 35948, "eq2_id": 31587, "equation1": "x = ((y * (z * x)) * (w * x)) * z", "equation2": "x = (y * ((z * y) * (x * x))) * x", "answer": true}
|
| 75 |
+
{"id": "evaluation_order5_0075", "index": 75, "difficulty": "order5_normal", "eq1_id": 15839, "eq2_id": 17584, "equation1": "x = y * (((z * (y * z)) * y) * x)", "equation2": "x = (y * z) * (y * (y * (w * x)))", "answer": false}
|
| 76 |
+
{"id": "evaluation_order5_0076", "index": 76, "difficulty": "order5_normal", "eq1_id": 6677, "eq2_id": 18830, "equation1": "x = y * (x * ((x * z) * (y * y)))", "equation2": "x = (x * y) * ((y * y) * (y * y))", "answer": true}
|
| 77 |
+
{"id": "evaluation_order5_0077", "index": 77, "difficulty": "order5_normal", "eq1_id": 19718, "eq2_id": 19638, "equation1": "x = (x * y) * ((y * (z * y)) * y)", "equation2": "x = (x * x) * ((y * (y * z)) * w)", "answer": false}
|
| 78 |
+
{"id": "evaluation_order5_0078", "index": 78, "difficulty": "order5_normal", "eq1_id": 39227, "eq2_id": 22253, "equation1": "x = (((y * x) * (z * w)) * x) * y", "equation2": "x = (x * (x * y)) * ((x * y) * x)", "answer": true}
|
| 79 |
+
{"id": "evaluation_order5_0079", "index": 79, "difficulty": "order5_normal", "eq1_id": 21071, "eq2_id": 5028, "equation1": "x = (y * z) * (((y * x) * z) * x)", "equation2": "x = y * (x * (z * (w * (y * x))))", "answer": false}
|
| 80 |
+
{"id": "evaluation_order5_0080", "index": 80, "difficulty": "order5_normal", "eq1_id": 9467, "eq2_id": 15426, "equation1": "x = y * ((y * x) * (z * (w * y)))", "equation2": "x = y * (((x * (x * x)) * y) * y)", "answer": true}
|
| 81 |
+
{"id": "evaluation_order5_0081", "index": 81, "difficulty": "order5_normal", "eq1_id": 22531, "eq2_id": 17395, "equation1": "x = (y * (x * z)) * ((y * x) * z)", "equation2": "x = (y * y) * (y * (z * (z * w)))", "answer": false}
|
| 82 |
+
{"id": "evaluation_order5_0082", "index": 82, "difficulty": "order5_normal", "eq1_id": 10726, "eq2_id": 33713, "equation1": "x = y * ((z * w) * ((y * y) * z))", "equation2": "x = ((x * y) * (x * (z * y))) * y", "answer": true}
|
| 83 |
+
{"id": "evaluation_order5_0083", "index": 83, "difficulty": "order5_normal", "eq1_id": 23792, "eq2_id": 35473, "equation1": "x = ((y * z) * z) * (y * (y * x))", "equation2": "x = ((x * (y * x)) * (z * z)) * w", "answer": false}
|
| 84 |
+
{"id": "evaluation_order5_0084", "index": 84, "difficulty": "order5_normal", "eq1_id": 39993, "eq2_id": 31590, "equation1": "x = (((y * (x * x)) * y) * y) * z", "equation2": "x = (y * ((z * y) * (x * x))) * w", "answer": true}
|
| 85 |
+
{"id": "evaluation_order5_0085", "index": 85, "difficulty": "order5_normal", "eq1_id": 26250, "eq2_id": 15711, "equation1": "x = (y * ((z * x) * x)) * (x * z)", "equation2": "x = y * (((y * (z * w)) * z) * w)", "answer": false}
|
| 86 |
+
{"id": "evaluation_order5_0086", "index": 86, "difficulty": "order5_normal", "eq1_id": 8102, "eq2_id": 27372, "equation1": "x = y * (z * ((w * (y * z)) * u))", "equation2": "x = ((y * z) * (w * x)) * (w * y)", "answer": true}
|
| 87 |
+
{"id": "evaluation_order5_0087", "index": 87, "difficulty": "order5_normal", "eq1_id": 30652, "eq2_id": 29861, "equation1": "x = (y * (z * ((x * y) * x))) * z", "equation2": "x = (y * (z * (y * (y * z)))) * w", "answer": false}
|
| 88 |
+
{"id": "evaluation_order5_0088", "index": 88, "difficulty": "order5_normal", "eq1_id": 39189, "eq2_id": 26899, "equation1": "x = (((y * x) * (z * x)) * w) * z", "equation2": "x = ((y * x) * (z * x)) * (x * z)", "answer": true}
|
| 89 |
+
{"id": "evaluation_order5_0089", "index": 89, "difficulty": "order5_normal", "eq1_id": 30771, "eq2_id": 19176, "equation1": "x = (y * (z * ((y * w) * z))) * x", "equation2": "x = (y * y) * ((z * y) * (y * x))", "answer": false}
|
| 90 |
+
{"id": "evaluation_order5_0090", "index": 90, "difficulty": "order5_normal", "eq1_id": 41250, "eq2_id": 34265, "equation1": "x = ((((y * z) * y) * x) * w) * u", "equation2": "x = ((y * z) * (y * (z * w))) * y", "answer": true}
|
| 91 |
+
{"id": "evaluation_order5_0091", "index": 91, "difficulty": "order5_normal", "eq1_id": 30822, "eq2_id": 23274, "equation1": "x = (y * (z * ((z * z) * x))) * y", "equation2": "x = ((x * y) * z) * (z * (x * z))", "answer": false}
|
| 92 |
+
{"id": "evaluation_order5_0092", "index": 92, "difficulty": "order5_normal", "eq1_id": 23947, "eq2_id": 25163, "equation1": "x = ((y * z) * w) * (w * (u * y))", "equation2": "x = (y * (x * (z * y))) * (x * w)", "answer": true}
|
| 93 |
+
{"id": "evaluation_order5_0093", "index": 93, "difficulty": "order5_normal", "eq1_id": 32199, "eq2_id": 5636, "equation1": "x = (y * ((x * (z * z)) * y)) * z", "equation2": "x = x * (y * (x * ((y * x) * z)))", "answer": false}
|
| 94 |
+
{"id": "evaluation_order5_0094", "index": 94, "difficulty": "order5_normal", "eq1_id": 11083, "eq2_id": 15991, "equation1": "x = y * ((x * (y * x)) * (z * w))", "equation2": "x = y * (((z * (w * y)) * z) * x)", "answer": true}
|
| 95 |
+
{"id": "evaluation_order5_0095", "index": 95, "difficulty": "order5_normal", "eq1_id": 32542, "eq2_id": 40911, "equation1": "x = (y * ((z * (z * x)) * x)) * y", "equation2": "x = ((((y * x) * y) * y) * z) * w", "answer": false}
|
| 96 |
+
{"id": "evaluation_order5_0096", "index": 96, "difficulty": "order5_normal", "eq1_id": 11438, "eq2_id": 20532, "equation1": "x = y * ((z * (y * y)) * (y * y))", "equation2": "x = (x * x) * (((y * z) * w) * u)", "answer": true}
|
| 97 |
+
{"id": "evaluation_order5_0097", "index": 97, "difficulty": "order5_normal", "eq1_id": 33680, "eq2_id": 32830, "equation1": "x = ((x * x) * (y * (z * z))) * y", "equation2": "x = (x * (((y * x) * y) * z)) * w", "answer": false}
|
| 98 |
+
{"id": "evaluation_order5_0098", "index": 98, "difficulty": "order5_normal", "eq1_id": 22856, "eq2_id": 15183, "equation1": "x = (y * (z * y)) * ((z * y) * y)", "equation2": "x = y * (((z * w) * (u * x)) * y)", "answer": true}
|
| 99 |
+
{"id": "evaluation_order5_0099", "index": 99, "difficulty": "order5_normal", "eq1_id": 35039, "eq2_id": 8728, "equation1": "x = ((y * z) * ((x * y) * y)) * x", "equation2": "x = y * (z * (((x * y) * x) * w))", "answer": false}
|
| 100 |
+
{"id": "evaluation_order5_0100", "index": 100, "difficulty": "order5_normal", "eq1_id": 16039, "eq2_id": 13627, "equation1": "x = y * (((z * (w * w)) * y) * y)", "equation2": "x = x * ((y * ((z * z) * x)) * z)", "answer": true}
|
| 101 |
+
{"id": "evaluation_order5_0101", "index": 101, "difficulty": "order5_normal", "eq1_id": 35177, "eq2_id": 23410, "equation1": "x = ((y * z) * ((z * x) * y)) * y", "equation2": "x = ((y * x) * z) * (y * (y * x))", "answer": false}
|
| 102 |
+
{"id": "evaluation_order5_0102", "index": 102, "difficulty": "order5_normal", "eq1_id": 21890, "eq2_id": 37096, "equation1": "x = (y * (z * x)) * (y * (z * z))", "equation2": "x = (((y * z) * w) * (w * w)) * x", "answer": true}
|
| 103 |
+
{"id": "evaluation_order5_0103", "index": 103, "difficulty": "order5_normal", "eq1_id": 37512, "eq2_id": 34099, "equation1": "x = ((y * (y * (x * y))) * y) * y", "equation2": "x = ((y * y) * (z * (z * x))) * y", "answer": false}
|
| 104 |
+
{"id": "evaluation_order5_0104", "index": 104, "difficulty": "order5_normal", "eq1_id": 9068, "eq2_id": 29806, "equation1": "x = y * (z * (((w * u) * u) * y))", "equation2": "x = (y * (z * (x * (z * w)))) * u", "answer": true}
|
| 105 |
+
{"id": "evaluation_order5_0105", "index": 105, "difficulty": "order5_normal", "eq1_id": 40151, "eq2_id": 19108, "equation1": "x = (((y * (y * x)) * z) * x) * z", "equation2": "x = (y * y) * ((x * z) * (y * w))", "answer": false}
|
| 106 |
+
{"id": "evaluation_order5_0106", "index": 106, "difficulty": "order5_normal", "eq1_id": 22152, "eq2_id": 11696, "equation1": "x = (y * (z * w)) * (z * (y * y))", "equation2": "x = y * ((z * (w * u)) * (w * u))", "answer": true}
|
| 107 |
+
{"id": "evaluation_order5_0107", "index": 107, "difficulty": "order5_normal", "eq1_id": 40856, "eq2_id": 29155, "equation1": "x = ((((y * x) * x) * x) * x) * y", "equation2": "x = (((y * z) * w) * y) * (w * u)", "answer": false}
|
| 108 |
+
{"id": "evaluation_order5_0108", "index": 108, "difficulty": "order5_normal", "eq1_id": 27492, "eq2_id": 23803, "equation1": "x = ((y * z) * (w * u)) * (v * z)", "equation2": "x = ((y * z) * z) * (y * (w * w))", "answer": true}
|
| 109 |
+
{"id": "evaluation_order5_0109", "index": 109, "difficulty": "order5_normal", "eq1_id": 32113, "eq2_id": 24272, "equation1": "x = (y * ((x * (x * z)) * z)) * x", "equation2": "x = ((y * x) * z) * ((x * y) * z)", "answer": false}
|
| 110 |
+
{"id": "evaluation_order5_0110", "index": 110, "difficulty": "order5_normal", "eq1_id": 21995, "eq2_id": 28862, "equation1": "x = (y * (z * y)) * (w * (x * u))", "equation2": "x = (((y * y) * z) * w) * (y * u)", "answer": true}
|
| 111 |
+
{"id": "evaluation_order5_0111", "index": 111, "difficulty": "order5_normal", "eq1_id": 5174, "eq2_id": 9262, "equation1": "x = y * (y * (z * (w * (x * x))))", "equation2": "x = x * ((y * z) * (w * (y * x)))", "answer": false}
|
| 112 |
+
{"id": "evaluation_order5_0112", "index": 112, "difficulty": "order5_normal", "eq1_id": 33417, "eq2_id": 36560, "equation1": "x = (y * (((z * y) * w) * u)) * v", "equation2": "x = (((y * x) * z) * (x * w)) * u", "answer": true}
|
| 113 |
+
{"id": "evaluation_order5_0113", "index": 113, "difficulty": "order5_normal", "eq1_id": 24130, "eq2_id": 10042, "equation1": "x = ((x * y) * z) * ((x * w) * w)", "equation2": "x = x * ((y * x) * ((z * w) * y))", "answer": false}
|
| 114 |
+
{"id": "evaluation_order5_0114", "index": 114, "difficulty": "order5_normal", "eq1_id": 13167, "eq2_id": 19841, "equation1": "x = y * ((z * (x * (w * u))) * w)", "equation2": "x = (y * x) * ((x * (z * w)) * z)", "answer": true}
|
| 115 |
+
{"id": "evaluation_order5_0115", "index": 115, "difficulty": "order5_normal", "eq1_id": 31531, "eq2_id": 9700, "equation1": "x = (y * ((z * x) * (y * y))) * x", "equation2": "x = y * ((z * y) * (z * (y * x)))", "answer": false}
|
| 116 |
+
{"id": "evaluation_order5_0116", "index": 116, "difficulty": "order5_normal", "eq1_id": 10669, "eq2_id": 10586, "equation1": "x = y * ((z * z) * ((w * x) * z))", "equation2": "x = y * ((z * y) * ((z * w) * y))", "answer": true}
|
| 117 |
+
{"id": "evaluation_order5_0117", "index": 117, "difficulty": "order5_normal", "eq1_id": 39179, "eq2_id": 41113, "equation1": "x = (((y * x) * (z * x)) * y) * x", "equation2": "x = ((((y * y) * z) * y) * w) * u", "answer": false}
|
| 118 |
+
{"id": "evaluation_order5_0118", "index": 118, "difficulty": "order5_normal", "eq1_id": 31792, "eq2_id": 29906, "equation1": "x = (y * ((z * w) * (y * u))) * v", "equation2": "x = (y * (z * (y * (w * u)))) * z", "answer": true}
|
| 119 |
+
{"id": "evaluation_order5_0119", "index": 119, "difficulty": "order5_normal", "eq1_id": 17766, "eq2_id": 4863, "equation1": "x = (y * z) * (w * (z * (y * x)))", "equation2": "x = x * (y * (z * (z * (z * x))))", "answer": false}
|
| 120 |
+
{"id": "evaluation_order5_0120", "index": 120, "difficulty": "order5_normal", "eq1_id": 36232, "eq2_id": 29366, "equation1": "x = ((y * (z * w)) * (u * x)) * z", "equation2": "x = (x * (y * (y * (z * y)))) * z", "answer": true}
|
| 121 |
+
{"id": "evaluation_order5_0121", "index": 121, "difficulty": "order5_normal", "eq1_id": 8406, "eq2_id": 38624, "equation1": "x = y * (x * (((x * x) * x) * x))", "equation2": "x = ((y * ((z * y) * y)) * y) * x", "answer": false}
|
| 122 |
+
{"id": "evaluation_order5_0122", "index": 122, "difficulty": "order5_normal", "eq1_id": 9572, "eq2_id": 8862, "equation1": "x = y * ((y * z) * (w * (z * w)))", "equation2": "x = y * (z * (((z * x) * x) * x))", "answer": true}
|
| 123 |
+
{"id": "evaluation_order5_0123", "index": 123, "difficulty": "order5_normal", "eq1_id": 8959, "eq2_id": 21125, "equation1": "x = y * (z * (((w * x) * u) * x))", "equation2": "x = (y * z) * (((y * w) * z) * y)", "answer": false}
|
| 124 |
+
{"id": "evaluation_order5_0124", "index": 124, "difficulty": "order5_normal", "eq1_id": 21548, "eq2_id": 16976, "equation1": "x = (x * (y * z)) * (w * (z * w))", "equation2": "x = (x * x) * (x * (x * (y * y)))", "answer": true}
|
| 125 |
+
{"id": "evaluation_order5_0125", "index": 125, "difficulty": "order5_normal", "eq1_id": 13259, "eq2_id": 21397, "equation1": "x = y * ((z * (z * (x * w))) * x)", "equation2": "x = (x * (x * y)) * (z * (y * x))", "answer": false}
|
| 126 |
+
{"id": "evaluation_order5_0126", "index": 126, "difficulty": "order5_normal", "eq1_id": 39983, "eq2_id": 24070, "equation1": "x = (((y * (x * x)) * x) * y) * z", "equation2": "x = ((x * y) * x) * ((z * z) * y)", "answer": true}
|
| 127 |
+
{"id": "evaluation_order5_0127", "index": 127, "difficulty": "order5_normal", "eq1_id": 24270, "eq2_id": 33293, "equation1": "x = ((y * x) * z) * ((x * y) * x)", "equation2": "x = (y * (((z * x) * y) * w)) * x", "answer": false}
|
| 128 |
+
{"id": "evaluation_order5_0128", "index": 128, "difficulty": "order5_normal", "eq1_id": 34918, "eq2_id": 40456, "equation1": "x = ((y * y) * ((y * y) * y)) * y", "equation2": "x = (((y * (z * z)) * y) * y) * y", "answer": true}
|
| 129 |
+
{"id": "evaluation_order5_0129", "index": 129, "difficulty": "order5_normal", "eq1_id": 8190, "eq2_id": 36046, "equation1": "x = y * (z * ((w * (u * u)) * x))", "equation2": "x = ((y * (z * y)) * (w * u)) * w", "answer": false}
|
| 130 |
+
{"id": "evaluation_order5_0130", "index": 130, "difficulty": "order5_normal", "eq1_id": 32166, "eq2_id": 35364, "equation1": "x = (y * ((x * (z * x)) * y)) * w", "equation2": "x = ((y * z) * ((w * u) * y)) * v", "answer": true}
|
| 131 |
+
{"id": "evaluation_order5_0131", "index": 131, "difficulty": "order5_normal", "eq1_id": 15182, "eq2_id": 19432, "equation1": "x = y * (((z * w) * (u * x)) * x)", "equation2": "x = (y * z) * ((z * z) * (w * x))", "answer": false}
|
| 132 |
+
{"id": "evaluation_order5_0132", "index": 132, "difficulty": "order5_normal", "eq1_id": 33275, "eq2_id": 34497, "equation1": "x = (y * (((z * x) * x) * z)) * w", "equation2": "x = ((y * z) * (w * (u * w))) * w", "answer": true}
|
| 133 |
+
{"id": "evaluation_order5_0133", "index": 133, "difficulty": "order5_normal", "eq1_id": 31715, "eq2_id": 40031, "equation1": "x = (y * ((z * z) * (w * x))) * x", "equation2": "x = (((y * (x * y)) * y) * z) * x", "answer": false}
|
| 134 |
+
{"id": "evaluation_order5_0134", "index": 134, "difficulty": "order5_normal", "eq1_id": 8813, "eq2_id": 29190, "equation1": "x = y * (z * (((y * y) * z) * w))", "equation2": "x = (((y * z) * w) * w) * (x * z)", "answer": true}
|
| 135 |
+
{"id": "evaluation_order5_0135", "index": 135, "difficulty": "order5_normal", "eq1_id": 33087, "eq2_id": 27198, "equation1": "x = (y * (((x * z) * w) * x)) * x", "equation2": "x = ((y * z) * (x * w)) * (u * z)", "answer": false}
|
| 136 |
+
{"id": "evaluation_order5_0136", "index": 136, "difficulty": "order5_normal", "eq1_id": 8993, "eq2_id": 29328, "equation1": "x = y * (z * (((w * z) * x) * z))", "equation2": "x = (x * (y * (x * (z * y)))) * y", "answer": true}
|
| 137 |
+
{"id": "evaluation_order5_0137", "index": 137, "difficulty": "order5_normal", "eq1_id": 37340, "eq2_id": 16987, "equation1": "x = ((x * (y * (z * w))) * w) * u", "equation2": "x = (x * x) * (x * (y * (z * w)))", "answer": false}
|
| 138 |
+
{"id": "evaluation_order5_0138", "index": 138, "difficulty": "order5_normal", "eq1_id": 11963, "eq2_id": 15157, "equation1": "x = y * (((x * y) * y) * (x * z))", "equation2": "x = y * (((z * w) * (w * x)) * y)", "answer": true}
|
| 139 |
+
{"id": "evaluation_order5_0139", "index": 139, "difficulty": "order5_normal", "eq1_id": 38731, "eq2_id": 10662, "equation1": "x = ((y * ((z * z) * w)) * x) * x", "equation2": "x = y * ((z * z) * ((z * w) * x))", "answer": false}
|
| 140 |
+
{"id": "evaluation_order5_0140", "index": 140, "difficulty": "order5_normal", "eq1_id": 25188, "eq2_id": 28320, "equation1": "x = (y * (x * (z * z))) * (z * w)", "equation2": "x = ((y * (z * w)) * w) * (y * u)", "answer": true}
|
| 141 |
+
{"id": "evaluation_order5_0141", "index": 141, "difficulty": "order5_normal", "eq1_id": 37206, "eq2_id": 22229, "equation1": "x = ((x * (y * (x * y))) * x) * x", "equation2": "x = (y * (z * w)) * (u * (v * y))", "answer": false}
|
| 142 |
+
{"id": "evaluation_order5_0142", "index": 142, "difficulty": "order5_normal", "eq1_id": 28754, "eq2_id": 6616, "equation1": "x = (((y * y) * x) * z) * (y * z)", "equation2": "x = x * (y * ((z * z) * (y * w)))", "answer": true}
|
| 143 |
+
{"id": "evaluation_order5_0143", "index": 143, "difficulty": "order5_normal", "eq1_id": 5596, "eq2_id": 9563, "equation1": "x = x * (x * (y * ((x * z) * w)))", "equation2": "x = y * ((y * z) * (w * (x * u)))", "answer": false}
|
| 144 |
+
{"id": "evaluation_order5_0144", "index": 144, "difficulty": "order5_normal", "eq1_id": 31345, "eq2_id": 25851, "equation1": "x = (y * ((x * z) * (w * z))) * z", "equation2": "x = (x * ((y * y) * y)) * (z * w)", "answer": true}
|
| 145 |
+
{"id": "evaluation_order5_0145", "index": 145, "difficulty": "order5_normal", "eq1_id": 8223, "eq2_id": 29298, "equation1": "x = x * (x * (((y * x) * y) * z))", "equation2": "x = (x * (x * (y * (z * w)))) * x", "answer": false}
|
| 146 |
+
{"id": "evaluation_order5_0146", "index": 146, "difficulty": "order5_normal", "eq1_id": 32253, "eq2_id": 23916, "equation1": "x = (y * ((y * (x * y)) * z)) * y", "equation2": "x = ((y * z) * w) * (z * (w * y))", "answer": true}
|
| 147 |
+
{"id": "evaluation_order5_0147", "index": 147, "difficulty": "order5_normal", "eq1_id": 9106, "eq2_id": 30735, "equation1": "x = x * ((x * y) * (y * (x * y)))", "equation2": "x = (y * (z * ((y * y) * z))) * x", "answer": false}
|
| 148 |
+
{"id": "evaluation_order5_0148", "index": 148, "difficulty": "order5_normal", "eq1_id": 32298, "eq2_id": 27071, "equation1": "x = (y * ((y * (y * z)) * y)) * y", "equation2": "x = ((y * y) * (z * y)) * (y * z)", "answer": true}
|
| 149 |
+
{"id": "evaluation_order5_0149", "index": 149, "difficulty": "order5_normal", "eq1_id": 26662, "eq2_id": 39348, "equation1": "x = ((x * x) * (y * z)) * (y * w)", "equation2": "x = (((y * y) * (z * y)) * y) * y", "answer": false}
|
| 150 |
+
{"id": "evaluation_order5_0150", "index": 150, "difficulty": "order5_normal", "eq1_id": 33045, "eq2_id": 31141, "equation1": "x = (y * (((x * z) * x) * z)) * y", "equation2": "x = (x * ((y * z) * (x * z))) * z", "answer": true}
|
| 151 |
+
{"id": "evaluation_order5_0151", "index": 151, "difficulty": "order5_normal", "eq1_id": 7066, "eq2_id": 23884, "equation1": "x = y * (z * ((y * z) * (x * y)))", "equation2": "x = ((y * z) * w) * (y * (z * x))", "answer": false}
|
| 152 |
+
{"id": "evaluation_order5_0152", "index": 152, "difficulty": "order5_normal", "eq1_id": 35120, "eq2_id": 7607, "equation1": "x = ((y * z) * ((y * y) * z)) * x", "equation2": "x = y * (x * ((z * (x * y)) * x))", "answer": true}
|
| 153 |
+
{"id": "evaluation_order5_0153", "index": 153, "difficulty": "order5_normal", "eq1_id": 8225, "eq2_id": 30700, "equation1": "x = x * (x * (((y * x) * z) * y))", "equation2": "x = (y * (z * ((x * w) * w))) * y", "answer": false}
|
| 154 |
+
{"id": "evaluation_order5_0154", "index": 154, "difficulty": "order5_normal", "eq1_id": 36666, "eq2_id": 7177, "equation1": "x = (((y * y) * y) * (x * z)) * z", "equation2": "x = y * (z * ((z * w) * (w * w)))", "answer": true}
|
| 155 |
+
{"id": "evaluation_order5_0155", "index": 155, "difficulty": "order5_normal", "eq1_id": 10118, "eq2_id": 36785, "equation1": "x = x * ((y * z) * ((z * x) * y))", "equation2": "x = (((y * z) * x) * (x * w)) * y", "answer": false}
|
| 156 |
+
{"id": "evaluation_order5_0156", "index": 156, "difficulty": "order5_normal", "eq1_id": 40460, "eq2_id": 26389, "equation1": "x = (((y * (z * z)) * y) * z) * y", "equation2": "x = (y * ((z * y) * w)) * (z * w)", "answer": true}
|
| 157 |
+
{"id": "evaluation_order5_0157", "index": 157, "difficulty": "order5_normal", "eq1_id": 13634, "eq2_id": 14112, "equation1": "x = x * ((y * ((z * z) * z)) * y)", "equation2": "x = y * ((z * ((y * w) * z)) * u)", "answer": false}
|
| 158 |
+
{"id": "evaluation_order5_0158", "index": 158, "difficulty": "order5_normal", "eq1_id": 7063, "eq2_id": 15600, "equation1": "x = y * (z * ((y * y) * (w * w)))", "equation2": "x = y * (((y * (x * z)) * y) * w)", "answer": true}
|
| 159 |
+
{"id": "evaluation_order5_0159", "index": 159, "difficulty": "order5_normal", "eq1_id": 25858, "eq2_id": 19988, "equation1": "x = (x * ((y * y) * z)) * (y * z)", "equation2": "x = (y * y) * ((x * (z * z)) * z)", "answer": false}
|
| 160 |
+
{"id": "evaluation_order5_0160", "index": 160, "difficulty": "order5_normal", "eq1_id": 8408, "eq2_id": 29872, "equation1": "x = y * (x * (((x * x) * x) * z))", "equation2": "x = (y * (z * (y * (z * y)))) * y", "answer": true}
|
| 161 |
+
{"id": "evaluation_order5_0161", "index": 161, "difficulty": "order5_normal", "eq1_id": 31049, "eq2_id": 11472, "equation1": "x = (x * ((x * y) * (z * z))) * y", "equation2": "x = y * ((z * (y * w)) * (y * x))", "answer": false}
|
| 162 |
+
{"id": "evaluation_order5_0162", "index": 162, "difficulty": "order5_normal", "eq1_id": 8773, "eq2_id": 28912, "equation1": "x = y * (z * (((x * w) * z) * u))", "equation2": "x = (((y * z) * x) * y) * (w * u)", "answer": true}
|
| 163 |
+
{"id": "evaluation_order5_0163", "index": 163, "difficulty": "order5_normal", "eq1_id": 31362, "eq2_id": 24646, "equation1": "x = (y * ((y * x) * (x * y))) * x", "equation2": "x = ((y * z) * y) * ((w * u) * u)", "answer": false}
|
| 164 |
+
{"id": "evaluation_order5_0164", "index": 164, "difficulty": "order5_normal", "eq1_id": 12716, "eq2_id": 23224, "equation1": "x = x * ((y * (z * (x * x))) * z)", "equation2": "x = ((x * y) * y) * (z * (x * w))", "answer": true}
|
| 165 |
+
{"id": "evaluation_order5_0165", "index": 165, "difficulty": "order5_normal", "eq1_id": 38530, "eq2_id": 20500, "equation1": "x = ((y * ((z * x) * x)) * y) * x", "equation2": "x = (x * x) * (((y * x) * y) * y)", "answer": false}
|
| 166 |
+
{"id": "evaluation_order5_0166", "index": 166, "difficulty": "order5_normal", "eq1_id": 13115, "eq2_id": 9520, "equation1": "x = y * ((z * (x * (y * y))) * y)", "equation2": "x = y * ((y * z) * (x * (w * x)))", "answer": true}
|
| 167 |
+
{"id": "evaluation_order5_0167", "index": 167, "difficulty": "order5_normal", "eq1_id": 16558, "eq2_id": 5703, "equation1": "x = y * ((((y * z) * z) * x) * x)", "equation2": "x = x * (y * (z * ((x * y) * y)))", "answer": false}
|
| 168 |
+
{"id": "evaluation_order5_0168", "index": 168, "difficulty": "order5_normal", "eq1_id": 13351, "eq2_id": 34520, "equation1": "x = y * ((z * (w * (y * x))) * y)", "equation2": "x = ((x * x) * ((x * y) * x)) * z", "answer": true}
|
| 169 |
+
{"id": "evaluation_order5_0169", "index": 169, "difficulty": "order5_normal", "eq1_id": 24886, "eq2_id": 15500, "equation1": "x = (x * (x * (y * x))) * (y * z)", "equation2": "x = y * (((x * (z * x)) * y) * x)", "answer": false}
|
| 170 |
+
{"id": "evaluation_order5_0170", "index": 170, "difficulty": "order5_normal", "eq1_id": 14244, "eq2_id": 9292, "equation1": "x = y * ((z * ((w * y) * w)) * z)", "equation2": "x = y * ((x * x) * (x * (z * w)))", "answer": true}
|
| 171 |
+
{"id": "evaluation_order5_0171", "index": 171, "difficulty": "order5_normal", "eq1_id": 27679, "eq2_id": 33293, "equation1": "x = ((x * (y * z)) * w) * (y * x)", "equation2": "x = (y * (((z * x) * y) * w)) * x", "answer": false}
|
| 172 |
+
{"id": "evaluation_order5_0172", "index": 172, "difficulty": "order5_normal", "eq1_id": 16886, "eq2_id": 22457, "equation1": "x = y * ((((z * w) * z) * x) * z)", "equation2": "x = (y * (x * x)) * ((y * z) * w)", "answer": true}
|
| 173 |
+
{"id": "evaluation_order5_0173", "index": 173, "difficulty": "order5_normal", "eq1_id": 21790, "eq2_id": 14133, "equation1": "x = (y * (y * z)) * (x * (y * x))", "equation2": "x = y * ((z * ((z * x) * z)) * y)", "answer": false}
|
| 174 |
+
{"id": "evaluation_order5_0174", "index": 174, "difficulty": "order5_normal", "eq1_id": 21090, "eq2_id": 32947, "equation1": "x = (y * z) * (((y * y) * z) * z)", "equation2": "x = (x * (((y * z) * w) * z)) * y", "answer": true}
|
| 175 |
+
{"id": "evaluation_order5_0175", "index": 175, "difficulty": "order5_normal", "eq1_id": 36281, "eq2_id": 15972, "equation1": "x = (((x * x) * x) * (y * z)) * w", "equation2": "x = y * (((z * (w * x)) * w) * z)", "answer": false}
|
| 176 |
+
{"id": "evaluation_order5_0176", "index": 176, "difficulty": "order5_normal", "eq1_id": 23734, "eq2_id": 23253, "equation1": "x = ((y * z) * y) * (z * (y * z))", "equation2": "x = ((x * y) * z) * (x * (w * w))", "answer": true}
|
| 177 |
+
{"id": "evaluation_order5_0177", "index": 177, "difficulty": "order5_normal", "eq1_id": 26113, "eq2_id": 14010, "equation1": "x = (y * ((y * x) * y)) * (z * x)", "equation2": "x = y * ((z * ((x * z) * y)) * z)", "answer": false}
|
| 178 |
+
{"id": "evaluation_order5_0178", "index": 178, "difficulty": "order5_normal", "eq1_id": 28865, "eq2_id": 36203, "equation1": "x = (((y * y) * z) * w) * (z * z)", "equation2": "x = ((y * (z * w)) * (z * u)) * v", "answer": true}
|
| 179 |
+
{"id": "evaluation_order5_0179", "index": 179, "difficulty": "order5_normal", "eq1_id": 20669, "eq2_id": 24245, "equation1": "x = (x * y) * (((z * w) * z) * y)", "equation2": "x = ((y * x) * y) * ((y * z) * x)", "answer": false}
|
| 180 |
+
{"id": "evaluation_order5_0180", "index": 180, "difficulty": "order5_normal", "eq1_id": 29859, "eq2_id": 5119, "equation1": "x = (y * (z * (y * (y * z)))) * y", "equation2": "x = y * (y * (y * (z * (w * y))))", "answer": true}
|
| 181 |
+
{"id": "evaluation_order5_0181", "index": 181, "difficulty": "order5_normal", "eq1_id": 7137, "eq2_id": 12076, "equation1": "x = y * (z * ((z * y) * (w * x)))", "equation2": "x = y * (((y * x) * y) * (x * y))", "answer": false}
|
| 182 |
+
{"id": "evaluation_order5_0182", "index": 182, "difficulty": "order5_normal", "eq1_id": 29920, "eq2_id": 20651, "equation1": "x = (y * (z * (z * (x * z)))) * z", "equation2": "x = (x * y) * (((z * z) * z) * z)", "answer": true}
|
| 183 |
+
{"id": "evaluation_order5_0183", "index": 183, "difficulty": "order5_normal", "eq1_id": 22372, "eq2_id": 32477, "equation1": "x = (x * (y * z)) * ((x * z) * w)", "equation2": "x = (y * ((z * (y * x)) * w)) * y", "answer": false}
|
| 184 |
+
{"id": "evaluation_order5_0184", "index": 184, "difficulty": "order5_normal", "eq1_id": 30415, "eq2_id": 33892, "equation1": "x = (y * (x * ((z * x) * z))) * z", "equation2": "x = ((y * x) * (y * (y * z))) * x", "answer": true}
|
| 185 |
+
{"id": "evaluation_order5_0185", "index": 185, "difficulty": "order5_normal", "eq1_id": 24167, "eq2_id": 7365, "equation1": "x = ((x * y) * z) * ((w * x) * y)", "equation2": "x = x * (x * ((y * (z * y)) * x))", "answer": false}
|
| 186 |
+
{"id": "evaluation_order5_0186", "index": 186, "difficulty": "order5_normal", "eq1_id": 30487, "eq2_id": 22667, "equation1": "x = (y * (y * ((x * x) * y))) * z", "equation2": "x = (y * (y * z)) * ((x * y) * x)", "answer": true}
|
| 187 |
+
{"id": "evaluation_order5_0187", "index": 187, "difficulty": "order5_normal", "eq1_id": 6430, "eq2_id": 5830, "equation1": "x = y * (z * (w * ((u * w) * x)))", "equation2": "x = y * (x * (y * ((y * z) * z)))", "answer": false}
|
| 188 |
+
{"id": "evaluation_order5_0188", "index": 188, "difficulty": "order5_normal", "eq1_id": 30562, "eq2_id": 21559, "equation1": "x = (y * (y * ((z * x) * y))) * z", "equation2": "x = (x * (y * z)) * (w * (u * u))", "answer": true}
|
| 189 |
+
{"id": "evaluation_order5_0189", "index": 189, "difficulty": "order5_normal", "eq1_id": 19691, "eq2_id": 33725, "equation1": "x = (x * y) * ((x * (z * w)) * w)", "equation2": "x = ((x * y) * (y * (x * x))) * x", "answer": false}
|
| 190 |
+
{"id": "evaluation_order5_0190", "index": 190, "difficulty": "order5_normal", "eq1_id": 30719, "eq2_id": 27190, "equation1": "x = (y * (z * ((y * x) * z))) * y", "equation2": "x = ((y * z) * (x * w)) * (z * u)", "answer": true}
|
| 191 |
+
{"id": "evaluation_order5_0191", "index": 191, "difficulty": "order5_normal", "eq1_id": 32055, "eq2_id": 32537, "equation1": "x = (x * ((y * (z * z)) * w)) * y", "equation2": "x = (y * ((z * (y * w)) * u)) * z", "answer": false}
|
| 192 |
+
{"id": "evaluation_order5_0192", "index": 192, "difficulty": "order5_normal", "eq1_id": 30737, "eq2_id": 39906, "equation1": "x = (y * (z * ((y * y) * z))) * z", "equation2": "x = (((x * (y * z)) * x) * y) * y", "answer": true}
|
| 193 |
+
{"id": "evaluation_order5_0193", "index": 193, "difficulty": "order5_normal", "eq1_id": 5745, "eq2_id": 13299, "equation1": "x = x * (y * (z * ((z * w) * y)))", "equation2": "x = y * ((z * (z * (w * x))) * y)", "answer": false}
|
| 194 |
+
{"id": "evaluation_order5_0194", "index": 194, "difficulty": "order5_normal", "eq1_id": 31405, "eq2_id": 6799, "equation1": "x = (y * ((y * y) * (x * z))) * w", "equation2": "x = y * (x * ((z * w) * (u * z)))", "answer": true}
|
| 195 |
+
{"id": "evaluation_order5_0195", "index": 195, "difficulty": "order5_normal", "eq1_id": 9428, "eq2_id": 20646, "equation1": "x = y * ((x * z) * (w * (u * x)))", "equation2": "x = (x * y) * (((z * z) * y) * y)", "answer": false}
|
| 196 |
+
{"id": "evaluation_order5_0196", "index": 196, "difficulty": "order5_normal", "eq1_id": 31492, "eq2_id": 12184, "equation1": "x = (y * ((y * z) * (w * y))) * w", "equation2": "x = y * (((y * z) * z) * (z * w))", "answer": true}
|
| 197 |
+
{"id": "evaluation_order5_0197", "index": 197, "difficulty": "order5_normal", "eq1_id": 12195, "eq2_id": 5720, "equation1": "x = y * (((y * z) * w) * (y * x))", "equation2": "x = x * (y * (z * ((y * y) * y)))", "answer": false}
|
| 198 |
+
{"id": "evaluation_order5_0198", "index": 198, "difficulty": "order5_normal", "eq1_id": 31731, "eq2_id": 29249, "equation1": "x = (y * ((z * z) * (w * w))) * y", "equation2": "x = (((y * z) * w) * u) * (v * v)", "answer": true}
|
| 199 |
+
{"id": "evaluation_order5_0199", "index": 199, "difficulty": "order5_normal", "eq1_id": 13659, "eq2_id": 34955, "equation1": "x = x * ((y * ((z * w) * w)) * z)", "equation2": "x = ((y * y) * ((z * x) * w)) * z", "answer": false}
|
| 200 |
+
{"id": "evaluation_order5_0200", "index": 200, "difficulty": "order5_normal", "eq1_id": 31837, "eq2_id": 4972, "equation1": "x = (y * ((z * w) * (w * w))) * w", "equation2": "x = y * (x * (z * (x * (x * x))))", "answer": true}
|
metadata/evaluation_extra_hard.json
ADDED
|
@@ -0,0 +1,12 @@
|
|
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|
|
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|
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|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"subset_name": "evaluation_extra_hard",
|
| 3 |
+
"source": "official",
|
| 4 |
+
"curators": [],
|
| 5 |
+
"difficulty": "extra_hard",
|
| 6 |
+
"problem_count": 200,
|
| 7 |
+
"true_count": 100,
|
| 8 |
+
"false_count": 100,
|
| 9 |
+
"selection_method": "human_ai",
|
| 10 |
+
"derived_from": "stage1_final_evaluation",
|
| 11 |
+
"notes": "Stage 1 final evaluation subset."
|
| 12 |
+
}
|
metadata/evaluation_hard.json
ADDED
|
@@ -0,0 +1,12 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"subset_name": "evaluation_hard",
|
| 3 |
+
"source": "official",
|
| 4 |
+
"curators": [],
|
| 5 |
+
"difficulty": "hard",
|
| 6 |
+
"problem_count": 200,
|
| 7 |
+
"true_count": 100,
|
| 8 |
+
"false_count": 100,
|
| 9 |
+
"selection_method": "human_ai",
|
| 10 |
+
"derived_from": "stage1_final_evaluation",
|
| 11 |
+
"notes": "Stage 1 final evaluation subset."
|
| 12 |
+
}
|
metadata/evaluation_normal.json
ADDED
|
@@ -0,0 +1,12 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"subset_name": "evaluation_normal",
|
| 3 |
+
"source": "official",
|
| 4 |
+
"curators": [],
|
| 5 |
+
"difficulty": "normal",
|
| 6 |
+
"problem_count": 200,
|
| 7 |
+
"true_count": 100,
|
| 8 |
+
"false_count": 100,
|
| 9 |
+
"selection_method": "human_ai",
|
| 10 |
+
"derived_from": "stage1_final_evaluation",
|
| 11 |
+
"notes": "Stage 1 final evaluation subset."
|
| 12 |
+
}
|
metadata/evaluation_order5.json
ADDED
|
@@ -0,0 +1,12 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"subset_name": "evaluation_order5",
|
| 3 |
+
"source": "official",
|
| 4 |
+
"curators": [],
|
| 5 |
+
"difficulty": "order5_normal",
|
| 6 |
+
"problem_count": 200,
|
| 7 |
+
"true_count": 100,
|
| 8 |
+
"false_count": 100,
|
| 9 |
+
"selection_method": "human_ai",
|
| 10 |
+
"derived_from": "stage1_final_evaluation",
|
| 11 |
+
"notes": "Stage 1 final evaluation subset."
|
| 12 |
+
}
|