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| {"id": "evaluation_extra_hard_0024", "index": 24, "difficulty": "extra_hard", "eq1_id": 366, "eq2_id": 4674, "equation1": "x * x = (y * x) * z", "equation2": "(x * y) * z = (x * z) * w", "answer": true} |
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| {"id": "evaluation_extra_hard_0026", "index": 26, "difficulty": "extra_hard", "eq1_id": 368, "eq2_id": 4341, "equation1": "x * x = (y * y) * y", "equation2": "x * (y * y) = x * (z * z)", "answer": true} |
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| {"id": "evaluation_extra_hard_0028", "index": 28, "difficulty": "extra_hard", "eq1_id": 382, "eq2_id": 3730, "equation1": "x * y = (x * z) * z", "equation2": "x * y = (x * y) * (z * w)", "answer": true} |
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| {"id": "evaluation_extra_hard_0034", "index": 34, "difficulty": "extra_hard", "eq1_id": 387, "eq2_id": 4544, "equation1": "x * y = (y * y) * x", "equation2": "x * (y * z) = (z * y) * x", "answer": true} |
| {"id": "evaluation_extra_hard_0035", "index": 35, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 1307, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = y * (((x * z) * w) * x)", "answer": false} |
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| {"id": "evaluation_extra_hard_0038", "index": 38, "difficulty": "extra_hard", "eq1_id": 3327, "eq2_id": 3332, "equation1": "x * y = x * (z * (x * z))", "equation2": "x * y = x * (z * (y * w))", "answer": true} |
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| {"id": "evaluation_extra_hard_0040", "index": 40, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 3260, "equation1": "x * y = x * (x * x)", "equation2": "x * x = x * (y * (x * z))", "answer": true} |
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| {"id": "evaluation_extra_hard_0042", "index": 42, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 3263, "equation1": "x * y = x * (x * x)", "equation2": "x * x = x * (y * (y * z))", "answer": true} |
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| {"id": "evaluation_extra_hard_0046", "index": 46, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 3463, "equation1": "x * y = x * (x * x)", "equation2": "x * x = x * ((y * x) * z)", "answer": true} |
| {"id": "evaluation_extra_hard_0047", "index": 47, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 1713, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = (y * x) * ((z * w) * x)", "answer": false} |
| {"id": "evaluation_extra_hard_0048", "index": 48, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 3466, "equation1": "x * y = x * (x * x)", "equation2": "x * x = x * ((y * y) * z)", "answer": true} |
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| {"id": "evaluation_extra_hard_0050", "index": 50, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 3467, "equation1": "x * y = x * (x * x)", "equation2": "x * x = x * ((y * z) * x)", "answer": true} |
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| {"id": "evaluation_extra_hard_0052", "index": 52, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 4601, "equation1": "x * y = x * (x * x)", "equation2": "(x * x) * y = (x * z) * x", "answer": true} |
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| {"id": "evaluation_extra_hard_0054", "index": 54, "difficulty": "extra_hard", "eq1_id": 322, "eq2_id": 4603, "equation1": "x * y = x * (x * x)", "equation2": "(x * x) * y = (x * z) * z", "answer": true} |
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| {"id": "evaluation_extra_hard_0058", "index": 58, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 391, "equation1": "x * y = y * (y * y)", "equation2": "x * y = (y * z) * y", "answer": true} |
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| {"id": "evaluation_extra_hard_0060", "index": 60, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3264, "equation1": "x * y = y * (y * y)", "equation2": "x * x = x * (y * (z * x))", "answer": true} |
| {"id": "evaluation_extra_hard_0061", "index": 61, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 2894, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = ((x * (y * z)) * w) * x", "answer": false} |
| {"id": "evaluation_extra_hard_0062", "index": 62, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3292, "equation1": "x * y = y * (y * y)", "equation2": "x * x = y * (z * (y * x))", "answer": true} |
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| {"id": "evaluation_extra_hard_0064", "index": 64, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3349, "equation1": "x * y = y * (y * y)", "equation2": "x * y = y * (x * (z * y))", "answer": true} |
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| {"id": "evaluation_extra_hard_0066", "index": 66, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3363, "equation1": "x * y = y * (y * y)", "equation2": "x * y = y * (z * (x * y))", "answer": true} |
| {"id": "evaluation_extra_hard_0067", "index": 67, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 3097, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x = (((x * y) * z) * w) * x", "answer": false} |
| {"id": "evaluation_extra_hard_0068", "index": 68, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3367, "equation1": "x * y = y * (y * y)", "equation2": "x * y = y * (z * (y * y))", "answer": true} |
| {"id": "evaluation_extra_hard_0069", "index": 69, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 4358, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x * (y * z) = x * (z * y)", "answer": false} |
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| {"id": "evaluation_extra_hard_0071", "index": 71, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 4362, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x * (y * z) = y * (x * z)", "answer": false} |
| {"id": "evaluation_extra_hard_0072", "index": 72, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3467, "equation1": "x * y = y * (y * y)", "equation2": "x * x = x * ((y * z) * x)", "answer": true} |
| {"id": "evaluation_extra_hard_0073", "index": 73, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 4364, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x * (y * z) = y * (z * x)", "answer": false} |
| {"id": "evaluation_extra_hard_0074", "index": 74, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3477, "equation1": "x * y = y * (y * y)", "equation2": "x * x = y * ((x * z) * x)", "answer": true} |
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| {"id": "evaluation_extra_hard_0076", "index": 76, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3487, "equation1": "x * y = y * (y * y)", "equation2": "x * x = y * ((y * z) * x)", "answer": true} |
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| {"id": "evaluation_extra_hard_0078", "index": 78, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3552, "equation1": "x * y = y * (y * y)", "equation2": "x * y = y * ((x * z) * y)", "answer": true} |
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| {"id": "evaluation_extra_hard_0080", "index": 80, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3566, "equation1": "x * y = y * (y * y)", "equation2": "x * y = y * ((z * x) * y)", "answer": true} |
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| {"id": "evaluation_extra_hard_0082", "index": 82, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3600, "equation1": "x * y = y * (y * y)", "equation2": "x * y = z * ((y * x) * y)", "answer": true} |
| {"id": "evaluation_extra_hard_0083", "index": 83, "difficulty": "extra_hard", "eq1_id": 1487, "eq2_id": 4531, "equation1": "x = (y * x) * (x * (z * w))", "equation2": "x * (y * z) = (y * z) * x", "answer": false} |
| {"id": "evaluation_extra_hard_0084", "index": 84, "difficulty": "extra_hard", "eq1_id": 336, "eq2_id": 3608, "equation1": "x * y = y * (y * y)", "equation2": "x * y = z * ((y * z) * y)", "answer": true} |
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| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
| {"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} |
|
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