| {"id": "normal_0001", "index": 1, "difficulty": "normal", "eq1_id": 2918, "eq2_id": 1911, "equation1": "x = ((y * (x * y)) * z) * w", "equation2": "x = (y * (x * z)) * (y * w)", "answer": true} |
| {"id": "normal_0002", "index": 2, "difficulty": "normal", "eq1_id": 3454, "eq2_id": 4503, "equation1": "x * y = z * (w * (u * u))", "equation2": "x * (y * y) = (z * w) * z", "answer": true} |
| {"id": "normal_0003", "index": 3, "difficulty": "normal", "eq1_id": 649, "eq2_id": 2608, "equation1": "x = x * (y * ((z * x) * x))", "equation2": "x = (y * ((z * z) * y)) * w", "answer": false} |
| {"id": "normal_0004", "index": 4, "difficulty": "normal", "eq1_id": 815, "eq2_id": 2164, "equation1": "x = y * (z * ((w * u) * u))", "equation2": "x = ((y * z) * x) * (x * w)", "answer": true} |
| {"id": "normal_0005", "index": 5, "difficulty": "normal", "eq1_id": 905, "eq2_id": 3050, "equation1": "x = y * ((x * z) * (w * u))", "equation2": "x = (((x * x) * x) * x) * x", "answer": true} |
| {"id": "normal_0006", "index": 6, "difficulty": "normal", "eq1_id": 4263, "eq2_id": 837, "equation1": "x * y = ((z * w) * u) * y", "equation2": "x = x * ((y * x) * (y * z))", "answer": false} |
| {"id": "normal_0007", "index": 7, "difficulty": "normal", "eq1_id": 1600, "eq2_id": 3437, "equation1": "x = (y * z) * (z * (w * z))", "equation2": "x * y = z * (w * (y * z))", "answer": true} |
| {"id": "normal_0008", "index": 8, "difficulty": "normal", "eq1_id": 2653, "eq2_id": 4329, "equation1": "x = ((x * x) * (y * y)) * y", "equation2": "x * (y * x) = z * (x * w)", "answer": false} |
| {"id": "normal_0009", "index": 9, "difficulty": "normal", "eq1_id": 1396, "eq2_id": 3770, "equation1": "x = y * (((z * z) * w) * y)", "equation2": "x * y = (y * z) * (x * z)", "answer": true} |
| {"id": "normal_0010", "index": 10, "difficulty": "normal", "eq1_id": 3853, "eq2_id": 4605, "equation1": "x * y = (z * w) * (w * z)", "equation2": "(x * x) * y = (y * x) * x", "answer": true} |
| {"id": "normal_0011", "index": 11, "difficulty": "normal", "eq1_id": 724, "eq2_id": 2130, "equation1": "x = y * (y * ((z * x) * y))", "equation2": "x = ((y * y) * x) * (z * x)", "answer": true} |
| {"id": "normal_0012", "index": 12, "difficulty": "normal", "eq1_id": 3881, "eq2_id": 3418, "equation1": "x * x = (y * (x * y)) * y", "equation2": "x * y = z * (z * (y * y))", "answer": false} |
| {"id": "normal_0013", "index": 13, "difficulty": "normal", "eq1_id": 1737, "eq2_id": 2774, "equation1": "x = (y * y) * ((y * z) * w)", "equation2": "x = ((y * z) * (x * y)) * x", "answer": true} |
| {"id": "normal_0014", "index": 14, "difficulty": "normal", "eq1_id": 4638, "eq2_id": 403, "equation1": "(x * y) * x = (y * z) * x", "equation2": "x * y = (z * z) * y", "answer": false} |
| {"id": "normal_0015", "index": 15, "difficulty": "normal", "eq1_id": 4219, "eq2_id": 530, "equation1": "x * y = ((z * y) * z) * w", "equation2": "x = y * (y * (z * (z * z)))", "answer": false} |
| {"id": "normal_0016", "index": 16, "difficulty": "normal", "eq1_id": 4684, "eq2_id": 4439, "equation1": "(x * y) * z = (z * y) * x", "equation2": "x * (y * x) = (x * z) * y", "answer": false} |
| {"id": "normal_0017", "index": 17, "difficulty": "normal", "eq1_id": 4363, "eq2_id": 2442, "equation1": "x * (y * z) = y * (x * w)", "equation2": "x = (x * ((x * x) * x)) * y", "answer": false} |
| {"id": "normal_0018", "index": 18, "difficulty": "normal", "eq1_id": 1077, "eq2_id": 747, "equation1": "x = y * ((x * (x * y)) * z)", "equation2": "x = y * (z * ((x * y) * w))", "answer": true} |
| {"id": "normal_0019", "index": 19, "difficulty": "normal", "eq1_id": 3451, "eq2_id": 2115, "equation1": "x * y = z * (w * (u * y))", "equation2": "x = ((y * x) * z) * (z * x)", "answer": false} |
| {"id": "normal_0020", "index": 20, "difficulty": "normal", "eq1_id": 1835, "eq2_id": 1682, "equation1": "x = (x * (x * x)) * (y * y)", "equation2": "x = (y * x) * ((x * x) * y)", "answer": false} |
| {"id": "normal_0021", "index": 21, "difficulty": "normal", "eq1_id": 4271, "eq2_id": 4114, "equation1": "x * (x * x) = x * (y * z)", "equation2": "x * x = ((y * z) * w) * z", "answer": false} |
| {"id": "normal_0022", "index": 22, "difficulty": "normal", "eq1_id": 2738, "eq2_id": 3451, "equation1": "x = ((y * y) * (x * y)) * z", "equation2": "x * y = z * (w * (u * y))", "answer": true} |
| {"id": "normal_0023", "index": 23, "difficulty": "normal", "eq1_id": 2311, "eq2_id": 3542, "equation1": "x = (y * (x * (z * x))) * y", "equation2": "x * y = x * ((z * w) * z)", "answer": true} |
| {"id": "normal_0024", "index": 24, "difficulty": "normal", "eq1_id": 4461, "eq2_id": 1349, "equation1": "x * (y * x) = (z * z) * y", "equation2": "x = y * (((z * x) * x) * x)", "answer": false} |
| {"id": "normal_0025", "index": 25, "difficulty": "normal", "eq1_id": 315, "eq2_id": 2051, "equation1": "x * x = y * (y * x)", "equation2": "x = ((x * y) * x) * (x * y)", "answer": false} |
| {"id": "normal_0026", "index": 26, "difficulty": "normal", "eq1_id": 2081, "eq2_id": 1225, "equation1": "x = ((x * y) * z) * (z * w)", "equation2": "x = x * (((x * x) * y) * x)", "answer": false} |
| {"id": "normal_0027", "index": 27, "difficulty": "normal", "eq1_id": 4154, "eq2_id": 1435, "equation1": "x * y = ((y * x) * x) * x", "equation2": "x = (x * x) * (y * (y * y))", "answer": false} |
| {"id": "normal_0028", "index": 28, "difficulty": "normal", "eq1_id": 1185, "eq2_id": 796, "equation1": "x = y * ((z * (z * y)) * y)", "equation2": "x = y * (z * ((w * y) * x))", "answer": true} |
| {"id": "normal_0029", "index": 29, "difficulty": "normal", "eq1_id": 627, "eq2_id": 1438, "equation1": "x = x * (x * ((y * z) * z))", "equation2": "x = (x * x) * (y * (z * y))", "answer": false} |
| {"id": "normal_0030", "index": 30, "difficulty": "normal", "eq1_id": 649, "eq2_id": 4175, "equation1": "x = x * (y * ((z * x) * x))", "equation2": "x * y = ((y * z) * x) * y", "answer": false} |
| {"id": "normal_0031", "index": 31, "difficulty": "normal", "eq1_id": 1194, "eq2_id": 1583, "equation1": "x = y * ((z * (z * w)) * z)", "equation2": "x = (y * z) * (y * (w * z))", "answer": true} |
| {"id": "normal_0032", "index": 32, "difficulty": "normal", "eq1_id": 3368, "eq2_id": 3563, "equation1": "x * y = y * (z * (y * z))", "equation2": "x * y = y * ((y * z) * z)", "answer": true} |
| {"id": "normal_0033", "index": 33, "difficulty": "normal", "eq1_id": 1857, "eq2_id": 2202, "equation1": "x = (x * (y * y)) * (x * x)", "equation2": "x = ((y * z) * z) * (y * w)", "answer": false} |
| {"id": "normal_0034", "index": 34, "difficulty": "normal", "eq1_id": 2996, "eq2_id": 1199, "equation1": "x = ((y * (z * y)) * y) * z", "equation2": "x = y * ((z * (w * x)) * z)", "answer": true} |
| {"id": "normal_0035", "index": 35, "difficulty": "normal", "eq1_id": 1775, "eq2_id": 1961, "equation1": "x = (y * z) * ((y * x) * w)", "equation2": "x = (y * (z * x)) * (x * w)", "answer": true} |
| {"id": "normal_0036", "index": 36, "difficulty": "normal", "eq1_id": 4074, "eq2_id": 3272, "equation1": "x * x = ((x * y) * y) * y", "equation2": "x * x = y * (x * (y * y))", "answer": false} |
| {"id": "normal_0037", "index": 37, "difficulty": "normal", "eq1_id": 2020, "eq2_id": 3021, "equation1": "x = (y * (z * w)) * (z * y)", "equation2": "x = ((y * (z * z)) * w) * z", "answer": true} |
| {"id": "normal_0038", "index": 38, "difficulty": "normal", "eq1_id": 1545, "eq2_id": 419, "equation1": "x = (y * y) * (z * (z * z))", "equation2": "x = x * (x * (y * (y * x)))", "answer": true} |
| {"id": "normal_0039", "index": 39, "difficulty": "normal", "eq1_id": 1347, "eq2_id": 1925, "equation1": "x = y * (((y * z) * w) * w)", "equation2": "x = (y * (y * x)) * (y * y)", "answer": true} |
| {"id": "normal_0040", "index": 40, "difficulty": "normal", "eq1_id": 720, "eq2_id": 3177, "equation1": "x = y * (y * ((y * z) * y))", "equation2": "x = (((y * z) * x) * x) * y", "answer": true} |
| {"id": "normal_0041", "index": 41, "difficulty": "normal", "eq1_id": 4584, "eq2_id": 2319, "equation1": "(x * x) * x = (x * y) * x", "equation2": "x = (y * (x * (z * z))) * y", "answer": false} |
| {"id": "normal_0042", "index": 42, "difficulty": "normal", "eq1_id": 1971, "eq2_id": 3301, "equation1": "x = (y * (z * x)) * (w * y)", "equation2": "x * x = y * (z * (w * y))", "answer": true} |
| {"id": "normal_0043", "index": 43, "difficulty": "normal", "eq1_id": 1027, "eq2_id": 3955, "equation1": "x = x * ((x * (y * x)) * z)", "equation2": "x * y = (y * (x * y)) * y", "answer": false} |
| {"id": "normal_0044", "index": 44, "difficulty": "normal", "eq1_id": 4406, "eq2_id": 638, "equation1": "x * (x * y) = (y * x) * y", "equation2": "x = x * (y * ((x * z) * w))", "answer": false} |
| {"id": "normal_0045", "index": 45, "difficulty": "normal", "eq1_id": 322, "eq2_id": 375, "equation1": "x * y = x * (x * x)", "equation2": "x * y = (x * x) * y", "answer": false} |
| {"id": "normal_0046", "index": 46, "difficulty": "normal", "eq1_id": 1908, "eq2_id": 1734, "equation1": "x = (y * (x * z)) * (y * x)", "equation2": "x = (y * y) * ((y * z) * x)", "answer": true} |
| {"id": "normal_0047", "index": 47, "difficulty": "normal", "eq1_id": 316, "eq2_id": 1650, "equation1": "x * x = y * (y * y)", "equation2": "x = (x * y) * ((x * z) * x)", "answer": false} |
| {"id": "normal_0048", "index": 48, "difficulty": "normal", "eq1_id": 1609, "eq2_id": 1230, "equation1": "x = (y * z) * (w * (y * y))", "equation2": "x = x * (((x * y) * x) * z)", "answer": true} |
| {"id": "normal_0049", "index": 49, "difficulty": "normal", "eq1_id": 697, "eq2_id": 2873, "equation1": "x = y * (x * ((z * z) * w))", "equation2": "x = ((x * (y * y)) * x) * y", "answer": true} |
| {"id": "normal_0050", "index": 50, "difficulty": "normal", "eq1_id": 1495, "eq2_id": 2220, "equation1": "x = (y * x) * (y * (z * y))", "equation2": "x = ((y * z) * w) * (y * w)", "answer": true} |
| {"id": "normal_0051", "index": 51, "difficulty": "normal", "eq1_id": 138, "eq2_id": 1896, "equation1": "x = y * ((z * y) * x)", "equation2": "x = (y * (x * y)) * (x * z)", "answer": false} |
| {"id": "normal_0052", "index": 52, "difficulty": "normal", "eq1_id": 3429, "eq2_id": 3146, "equation1": "x * y = z * (z * (w * u))", "equation2": "x = (((y * y) * x) * z) * y", "answer": false} |
| {"id": "normal_0053", "index": 53, "difficulty": "normal", "eq1_id": 1484, "eq2_id": 3242, "equation1": "x = (y * x) * (x * (z * x))", "equation2": "x = (((y * z) * w) * w) * x", "answer": false} |
| {"id": "normal_0054", "index": 54, "difficulty": "normal", "eq1_id": 32, "eq2_id": 3761, "equation1": "x = (y * y) * y", "equation2": "x * y = (y * y) * (y * x)", "answer": true} |
| {"id": "normal_0055", "index": 55, "difficulty": "normal", "eq1_id": 2489, "eq2_id": 580, "equation1": "x = (x * ((y * z) * w)) * y", "equation2": "x = y * (z * (z * (z * y)))", "answer": false} |
| {"id": "normal_0056", "index": 56, "difficulty": "normal", "eq1_id": 2971, "eq2_id": 859, "equation1": "x = ((y * (y * z)) * w) * w", "equation2": "x = x * ((y * z) * (y * w))", "answer": true} |
| {"id": "normal_0057", "index": 57, "difficulty": "normal", "eq1_id": 3020, "eq2_id": 1361, "equation1": "x = ((y * (z * z)) * w) * y", "equation2": "x = y * (((z * x) * w) * x)", "answer": true} |
| {"id": "normal_0058", "index": 58, "difficulty": "normal", "eq1_id": 3198, "eq2_id": 4126, "equation1": "x = (((y * z) * y) * y) * y", "equation2": "x * y = ((x * x) * z) * w", "answer": true} |
| {"id": "normal_0059", "index": 59, "difficulty": "normal", "eq1_id": 659, "eq2_id": 3041, "equation1": "x = x * (y * ((z * z) * z))", "equation2": "x = ((y * (z * w)) * w) * z", "answer": false} |
| {"id": "normal_0060", "index": 60, "difficulty": "normal", "eq1_id": 1367, "eq2_id": 341, "equation1": "x = y * (((z * y) * x) * y)", "equation2": "x * y = y * (z * w)", "answer": true} |
| {"id": "normal_0061", "index": 61, "difficulty": "normal", "eq1_id": 3320, "eq2_id": 94, "equation1": "x * y = x * (y * (y * z))", "equation2": "x = y * (z * (w * x))", "answer": false} |
| {"id": "normal_0062", "index": 62, "difficulty": "normal", "eq1_id": 2713, "eq2_id": 2803, "equation1": "x = ((y * x) * (y * z)) * y", "equation2": "x = ((y * z) * (y * w)) * u", "answer": true} |
| {"id": "normal_0063", "index": 63, "difficulty": "normal", "eq1_id": 2914, "eq2_id": 2171, "equation1": "x = ((y * (x * y)) * y) * z", "equation2": "x = ((y * z) * x) * (z * z)", "answer": true} |
| {"id": "normal_0064", "index": 64, "difficulty": "normal", "eq1_id": 850, "eq2_id": 96, "equation1": "x = x * ((y * y) * (z * z))", "equation2": "x = y * (z * (w * z))", "answer": false} |
| {"id": "normal_0065", "index": 65, "difficulty": "normal", "eq1_id": 2213, "eq2_id": 3360, "equation1": "x = ((y * z) * w) * (x * y)", "equation2": "x * y = y * (y * (z * z))", "answer": true} |
| {"id": "normal_0066", "index": 66, "difficulty": "normal", "eq1_id": 3831, "eq2_id": 3869, "equation1": "x * y = (z * z) * (w * x)", "equation2": "x * x = (x * (y * x)) * z", "answer": true} |
| {"id": "normal_0067", "index": 67, "difficulty": "normal", "eq1_id": 1373, "eq2_id": 3116, "equation1": "x = y * (((z * y) * y) * w)", "equation2": "x = (((y * x) * y) * y) * y", "answer": true} |
| {"id": "normal_0068", "index": 68, "difficulty": "normal", "eq1_id": 3846, "eq2_id": 3413, "equation1": "x * y = (z * w) * (z * x)", "equation2": "x * y = z * (z * (x * x))", "answer": true} |
| {"id": "normal_0069", "index": 69, "difficulty": "normal", "eq1_id": 3010, "eq2_id": 4677, "equation1": "x = ((y * (z * z)) * x) * w", "equation2": "(x * y) * z = (y * x) * z", "answer": true} |
| {"id": "normal_0070", "index": 70, "difficulty": "normal", "eq1_id": 389, "eq2_id": 4507, "equation1": "x * y = (y * y) * z", "equation2": "x * (y * z) = (x * x) * y", "answer": true} |
| {"id": "normal_0071", "index": 71, "difficulty": "normal", "eq1_id": 4255, "eq2_id": 2946, "equation1": "x * y = ((z * w) * z) * w", "equation2": "x = ((y * (y * y)) * x) * x", "answer": false} |
| {"id": "normal_0072", "index": 72, "difficulty": "normal", "eq1_id": 3002, "eq2_id": 2281, "equation1": "x = ((y * (z * y)) * w) * x", "equation2": "x = (x * (y * (z * z))) * x", "answer": true} |
| {"id": "normal_0073", "index": 73, "difficulty": "normal", "eq1_id": 4401, "eq2_id": 1601, "equation1": "x * (x * y) = (x * z) * x", "equation2": "x = (y * z) * (z * (w * w))", "answer": false} |
| {"id": "normal_0074", "index": 74, "difficulty": "normal", "eq1_id": 4041, "eq2_id": 579, "equation1": "x * y = (z * (w * x)) * z", "equation2": "x = y * (z * (z * (z * x)))", "answer": false} |
| {"id": "normal_0075", "index": 75, "difficulty": "normal", "eq1_id": 1142, "eq2_id": 3560, "equation1": "x = y * ((y * (z * w)) * y)", "equation2": "x * y = y * ((y * y) * z)", "answer": true} |
| {"id": "normal_0076", "index": 76, "difficulty": "normal", "eq1_id": 2786, "eq2_id": 13, "equation1": "x = ((y * z) * (x * w)) * u", "equation2": "x = y * (x * x)", "answer": true} |
| {"id": "normal_0077", "index": 77, "difficulty": "normal", "eq1_id": 3767, "eq2_id": 4245, "equation1": "x * y = (y * y) * (z * w)", "equation2": "x * y = ((z * w) * x) * w", "answer": true} |
| {"id": "normal_0078", "index": 78, "difficulty": "normal", "eq1_id": 579, "eq2_id": 699, "equation1": "x = y * (z * (z * (z * x)))", "equation2": "x = y * (x * ((z * w) * y))", "answer": false} |
| {"id": "normal_0079", "index": 79, "difficulty": "normal", "eq1_id": 1290, "eq2_id": 4513, "equation1": "x = y * (((x * y) * y) * z)", "equation2": "x * (y * z) = (x * y) * w", "answer": true} |
| {"id": "normal_0080", "index": 80, "difficulty": "normal", "eq1_id": 3461, "eq2_id": 1607, "equation1": "x * x = x * ((y * x) * x)", "equation2": "x = (y * z) * (w * (x * u))", "answer": false} |
| {"id": "normal_0081", "index": 81, "difficulty": "normal", "eq1_id": 1732, "eq2_id": 3729, "equation1": "x = (y * y) * ((y * y) * y)", "equation2": "x * y = (x * y) * (z * z)", "answer": true} |
| {"id": "normal_0082", "index": 82, "difficulty": "normal", "eq1_id": 2493, "eq2_id": 2228, "equation1": "x = (y * ((x * x) * x)) * x", "equation2": "x = ((y * z) * w) * (w * y)", "answer": false} |
| {"id": "normal_0083", "index": 83, "difficulty": "normal", "eq1_id": 2514, "eq2_id": 1762, "equation1": "x = (y * ((x * z) * x)) * y", "equation2": "x = (y * z) * ((x * y) * w)", "answer": true} |
| {"id": "normal_0084", "index": 84, "difficulty": "normal", "eq1_id": 2026, "eq2_id": 4652, "equation1": "x = (y * (z * w)) * (w * z)", "equation2": "(x * y) * x = (z * w) * w", "answer": true} |
| {"id": "normal_0085", "index": 85, "difficulty": "normal", "eq1_id": 1841, "eq2_id": 314, "equation1": "x = (x * (x * y)) * (y * y)", "equation2": "x * x = y * (x * z)", "answer": false} |
| {"id": "normal_0086", "index": 86, "difficulty": "normal", "eq1_id": 1545, "eq2_id": 3078, "equation1": "x = (y * y) * (z * (z * z))", "equation2": "x = (((x * y) * y) * y) * x", "answer": true} |
| {"id": "normal_0087", "index": 87, "difficulty": "normal", "eq1_id": 886, "eq2_id": 4057, "equation1": "x = y * ((x * y) * (z * y))", "equation2": "x * y = (z * (w * w)) * w", "answer": true} |
| {"id": "normal_0088", "index": 88, "difficulty": "normal", "eq1_id": 1642, "eq2_id": 581, "equation1": "x = (x * x) * ((y * z) * z)", "equation2": "x = y * (z * (z * (z * z)))", "answer": false} |
| {"id": "normal_0089", "index": 89, "difficulty": "normal", "eq1_id": 2028, "eq2_id": 2926, "equation1": "x = (y * (z * w)) * (w * u)", "equation2": "x = ((y * (x * z)) * y) * w", "answer": true} |
| {"id": "normal_0090", "index": 90, "difficulty": "normal", "eq1_id": 2398, "eq2_id": 2456, "equation1": "x = (y * (z * (z * x))) * x", "equation2": "x = (x * ((y * x) * x)) * x", "answer": true} |
| {"id": "normal_0091", "index": 91, "difficulty": "normal", "eq1_id": 2539, "eq2_id": 3599, "equation1": "x = (y * ((y * x) * z)) * w", "equation2": "x * y = z * ((y * x) * x)", "answer": true} |
| {"id": "normal_0092", "index": 92, "difficulty": "normal", "eq1_id": 2581, "eq2_id": 444, "equation1": "x = (y * ((z * x) * w)) * z", "equation2": "x = x * (y * (y * (z * z)))", "answer": true} |
| {"id": "normal_0093", "index": 93, "difficulty": "normal", "eq1_id": 986, "eq2_id": 2808, "equation1": "x = y * ((z * z) * (z * y))", "equation2": "x = ((y * z) * (z * y)) * x", "answer": true} |
| {"id": "normal_0094", "index": 94, "difficulty": "normal", "eq1_id": 4301, "eq2_id": 409, "equation1": "x * (x * y) = z * (x * z)", "equation2": "x * y = (z * w) * w", "answer": false} |
| {"id": "normal_0095", "index": 95, "difficulty": "normal", "eq1_id": 2054, "eq2_id": 2952, "equation1": "x = ((x * y) * x) * (y * y)", "equation2": "x = ((y * (y * y)) * z) * x", "answer": false} |
| {"id": "normal_0096", "index": 96, "difficulty": "normal", "eq1_id": 3087, "eq2_id": 2965, "equation1": "x = (((x * y) * z) * x) * z", "equation2": "x = ((y * (y * z)) * z) * y", "answer": false} |
| {"id": "normal_0097", "index": 97, "difficulty": "normal", "eq1_id": 1845, "eq2_id": 3828, "equation1": "x = (x * (x * y)) * (z * z)", "equation2": "x * y = (z * z) * (z * y)", "answer": false} |
| {"id": "normal_0098", "index": 98, "difficulty": "normal", "eq1_id": 18, "eq2_id": 1481, "equation1": "x = y * (y * z)", "equation2": "x = (y * x) * (x * (y * x))", "answer": true} |
| {"id": "normal_0099", "index": 99, "difficulty": "normal", "eq1_id": 878, "eq2_id": 3784, "equation1": "x = y * ((x * x) * (z * w))", "equation2": "x * y = (y * z) * (w * u)", "answer": true} |
| {"id": "normal_0100", "index": 100, "difficulty": "normal", "eq1_id": 1150, "eq2_id": 2718, "equation1": "x = y * ((z * (x * y)) * x)", "equation2": "x = ((y * x) * (z * x)) * z", "answer": false} |
| {"id": "normal_0101", "index": 101, "difficulty": "normal", "eq1_id": 4215, "eq2_id": 386, "equation1": "x * y = ((z * y) * y) * w", "equation2": "x * y = (y * x) * z", "answer": true} |
| {"id": "normal_0102", "index": 102, "difficulty": "normal", "eq1_id": 4585, "eq2_id": 798, "equation1": "(x * x) * x = (x * y) * y", "equation2": "x = y * (z * ((w * y) * z))", "answer": false} |
| {"id": "normal_0103", "index": 103, "difficulty": "normal", "eq1_id": 248, "eq2_id": 702, "equation1": "x = (y * (z * z)) * z", "equation2": "x = y * (x * ((z * w) * u))", "answer": true} |
| {"id": "normal_0104", "index": 104, "difficulty": "normal", "eq1_id": 1615, "eq2_id": 1206, "equation1": "x = (y * z) * (w * (z * z))", "equation2": "x = y * ((z * (w * y)) * u)", "answer": true} |
| {"id": "normal_0105", "index": 105, "difficulty": "normal", "eq1_id": 131, "eq2_id": 1282, "equation1": "x = y * ((y * z) * y)", "equation2": "x = y * (((x * x) * z) * y)", "answer": true} |
| {"id": "normal_0106", "index": 106, "difficulty": "normal", "eq1_id": 2472, "eq2_id": 3705, "equation1": "x = (x * ((y * y) * z)) * x", "equation2": "x * x = (y * z) * (z * w)", "answer": false} |
| {"id": "normal_0107", "index": 107, "difficulty": "normal", "eq1_id": 4404, "eq2_id": 2901, "equation1": "x * (x * y) = (x * z) * w", "equation2": "x = ((y * (x * x)) * x) * z", "answer": false} |
| {"id": "normal_0108", "index": 108, "difficulty": "normal", "eq1_id": 4693, "eq2_id": 3936, "equation1": "(x * y) * z = (w * u) * z", "equation2": "x * y = (x * (z * x)) * z", "answer": false} |
| {"id": "normal_0109", "index": 109, "difficulty": "normal", "eq1_id": 3841, "eq2_id": 21, "equation1": "x * y = (z * w) * (y * x)", "equation2": "x = y * (z * z)", "answer": false} |
| {"id": "normal_0110", "index": 110, "difficulty": "normal", "eq1_id": 2926, "eq2_id": 1317, "equation1": "x = ((y * (x * z)) * y) * w", "equation2": "x = y * (((y * x) * y) * z)", "answer": true} |
| {"id": "normal_0111", "index": 111, "difficulty": "normal", "eq1_id": 2286, "eq2_id": 4624, "equation1": "x = (x * (y * (z * w))) * y", "equation2": "(x * x) * y = (z * w) * x", "answer": false} |
| {"id": "normal_0112", "index": 112, "difficulty": "normal", "eq1_id": 150, "eq2_id": 1240, "equation1": "x = y * ((z * w) * u)", "equation2": "x = x * (((y * x) * x) * z)", "answer": true} |
| {"id": "normal_0113", "index": 113, "difficulty": "normal", "eq1_id": 2758, "eq2_id": 857, "equation1": "x = ((y * y) * (z * y)) * y", "equation2": "x = x * ((y * z) * (y * y))", "answer": true} |
| {"id": "normal_0114", "index": 114, "difficulty": "normal", "eq1_id": 4679, "eq2_id": 1831, "equation1": "(x * y) * z = (y * z) * x", "equation2": "x = (y * z) * ((w * u) * v)", "answer": false} |
| {"id": "normal_0115", "index": 115, "difficulty": "normal", "eq1_id": 1362, "eq2_id": 3324, "equation1": "x = y * (((z * x) * w) * y)", "equation2": "x * y = x * (y * (z * w))", "answer": true} |
| {"id": "normal_0116", "index": 116, "difficulty": "normal", "eq1_id": 1784, "eq2_id": 2573, "equation1": "x = (y * z) * ((y * w) * x)", "equation2": "x = (y * ((z * x) * y)) * z", "answer": false} |
| {"id": "normal_0117", "index": 117, "difficulty": "normal", "eq1_id": 2714, "eq2_id": 2099, "equation1": "x = ((y * x) * (y * z)) * z", "equation2": "x = ((y * x) * y) * (x * z)", "answer": false} |
| {"id": "normal_0118", "index": 118, "difficulty": "normal", "eq1_id": 2630, "eq2_id": 423, "equation1": "x = (y * ((z * w) * z)) * z", "equation2": "x = x * (x * (y * (z * y)))", "answer": true} |
| {"id": "normal_0119", "index": 119, "difficulty": "normal", "eq1_id": 2014, "eq2_id": 1273, "equation1": "x = (y * (z * w)) * (y * x)", "equation2": "x = x * (((y * z) * w) * w)", "answer": false} |
| {"id": "normal_0120", "index": 120, "difficulty": "normal", "eq1_id": 1017, "eq2_id": 2245, "equation1": "x = y * ((z * w) * (u * w))", "equation2": "x = (x * (x * (y * x))) * z", "answer": true} |
| {"id": "normal_0121", "index": 121, "difficulty": "normal", "eq1_id": 3580, "eq2_id": 4304, "equation1": "x * y = y * ((z * w) * w)", "equation2": "x * (x * y) = z * (y * y)", "answer": true} |
| {"id": "normal_0122", "index": 122, "difficulty": "normal", "eq1_id": 74, "eq2_id": 2583, "equation1": "x = y * (y * (x * z))", "equation2": "x = (y * ((z * x) * w)) * u", "answer": true} |
| {"id": "normal_0123", "index": 123, "difficulty": "normal", "eq1_id": 1787, "eq2_id": 4215, "equation1": "x = (y * z) * ((y * w) * w)", "equation2": "x * y = ((z * y) * y) * w", "answer": true} |
| {"id": "normal_0124", "index": 124, "difficulty": "normal", "eq1_id": 1725, "eq2_id": 2635, "equation1": "x = (y * y) * ((x * z) * y)", "equation2": "x = (y * ((z * w) * w)) * z", "answer": true} |
| {"id": "normal_0125", "index": 125, "difficulty": "normal", "eq1_id": 3444, "eq2_id": 3910, "equation1": "x * y = z * (w * (z * u))", "equation2": "x * x = (y * (z * w)) * y", "answer": true} |
| {"id": "normal_0126", "index": 126, "difficulty": "normal", "eq1_id": 3110, "eq2_id": 4441, "equation1": "x = (((y * x) * x) * z) * z", "equation2": "x * (y * x) = (x * z) * w", "answer": true} |
| {"id": "normal_0127", "index": 127, "difficulty": "normal", "eq1_id": 4382, "eq2_id": 1073, "equation1": "x * (x * x) = (x * y) * x", "equation2": "x = y * ((x * (x * x)) * y)", "answer": false} |
| {"id": "normal_0128", "index": 128, "difficulty": "normal", "eq1_id": 3670, "eq2_id": 4643, "equation1": "x * x = (x * y) * (z * x)", "equation2": "(x * y) * x = (z * x) * y", "answer": false} |
| {"id": "normal_0129", "index": 129, "difficulty": "normal", "eq1_id": 1395, "eq2_id": 1606, "equation1": "x = y * (((z * z) * w) * x)", "equation2": "x = (y * z) * (w * (x * w))", "answer": false} |
| {"id": "normal_0130", "index": 130, "difficulty": "normal", "eq1_id": 2314, "eq2_id": 1131, "equation1": "x = (y * (x * (z * y))) * x", "equation2": "x = y * ((y * (z * x)) * z)", "answer": false} |
| {"id": "normal_0131", "index": 131, "difficulty": "normal", "eq1_id": 2880, "eq2_id": 3240, "equation1": "x = ((x * (y * y)) * z) * z", "equation2": "x = (((y * z) * w) * z) * w", "answer": false} |
| {"id": "normal_0132", "index": 132, "difficulty": "normal", "eq1_id": 1156, "eq2_id": 1947, "equation1": "x = y * ((z * (x * z)) * z)", "equation2": "x = (y * (y * z)) * (y * z)", "answer": true} |
| {"id": "normal_0133", "index": 133, "difficulty": "normal", "eq1_id": 1184, "eq2_id": 3944, "equation1": "x = y * ((z * (z * y)) * x)", "equation2": "x * y = (x * (z * z)) * z", "answer": false} |
| {"id": "normal_0134", "index": 134, "difficulty": "normal", "eq1_id": 116, "eq2_id": 1938, "equation1": "x = y * ((x * x) * z)", "equation2": "x = (y * (y * y)) * (z * y)", "answer": true} |
| {"id": "normal_0135", "index": 135, "difficulty": "normal", "eq1_id": 2999, "eq2_id": 154, "equation1": "x = ((y * (z * y)) * z) * y", "equation2": "x = (x * x) * (y * y)", "answer": true} |
| {"id": "normal_0136", "index": 136, "difficulty": "normal", "eq1_id": 1624, "eq2_id": 2594, "equation1": "x = (y * z) * (w * (u * y))", "equation2": "x = (y * ((z * y) * z)) * z", "answer": true} |
| {"id": "normal_0137", "index": 137, "difficulty": "normal", "eq1_id": 3027, "eq2_id": 55, "equation1": "x = ((y * (z * w)) * x) * w", "equation2": "x = x * (y * (y * x))", "answer": true} |
| {"id": "normal_0138", "index": 138, "difficulty": "normal", "eq1_id": 116, "eq2_id": 4576, "equation1": "x = y * ((x * x) * z)", "equation2": "x * (y * z) = (w * w) * u", "answer": true} |
| {"id": "normal_0139", "index": 139, "difficulty": "normal", "eq1_id": 869, "eq2_id": 183, "equation1": "x = y * ((x * x) * (x * x))", "equation2": "x = (y * y) * (z * y)", "answer": false} |
| {"id": "normal_0140", "index": 140, "difficulty": "normal", "eq1_id": 2399, "eq2_id": 1832, "equation1": "x = (y * (z * (z * x))) * y", "equation2": "x = (x * (x * x)) * (x * x)", "answer": true} |
| {"id": "normal_0141", "index": 141, "difficulty": "normal", "eq1_id": 2801, "eq2_id": 311, "equation1": "x = ((y * z) * (y * w)) * z", "equation2": "x * x = x * (y * z)", "answer": true} |
| {"id": "normal_0142", "index": 142, "difficulty": "normal", "eq1_id": 1691, "eq2_id": 3508, "equation1": "x = (y * x) * ((y * x) * x)", "equation2": "x * y = x * ((x * x) * x)", "answer": false} |
| {"id": "normal_0143", "index": 143, "difficulty": "normal", "eq1_id": 3662, "eq2_id": 4519, "equation1": "x * x = (x * x) * (y * y)", "equation2": "x * (y * z) = (x * w) * y", "answer": false} |
| {"id": "normal_0144", "index": 144, "difficulty": "normal", "eq1_id": 1900, "eq2_id": 1966, "equation1": "x = (y * (x * y)) * (z * x)", "equation2": "x = (y * (z * x)) * (z * x)", "answer": true} |
| {"id": "normal_0145", "index": 145, "difficulty": "normal", "eq1_id": 2819, "eq2_id": 1533, "equation1": "x = ((y * z) * (z * w)) * w", "equation2": "x = (y * y) * (y * (z * z))", "answer": true} |
| {"id": "normal_0146", "index": 146, "difficulty": "normal", "eq1_id": 1019, "eq2_id": 2363, "equation1": "x = y * ((z * w) * (u * v))", "equation2": "x = (y * (y * (z * w))) * u", "answer": true} |
| {"id": "normal_0147", "index": 147, "difficulty": "normal", "eq1_id": 1436, "eq2_id": 1503, "equation1": "x = (x * x) * (y * (y * z))", "equation2": "x = (y * x) * (z * (y * y))", "answer": false} |
| {"id": "normal_0148", "index": 148, "difficulty": "normal", "eq1_id": 3042, "eq2_id": 3650, "equation1": "x = ((y * (z * w)) * w) * w", "equation2": "x * y = z * ((w * w) * z)", "answer": true} |
| {"id": "normal_0149", "index": 149, "difficulty": "normal", "eq1_id": 3598, "eq2_id": 2033, "equation1": "x * y = z * ((x * w) * u)", "equation2": "x = (y * (z * w)) * (u * u)", "answer": false} |
| {"id": "normal_0150", "index": 150, "difficulty": "normal", "eq1_id": 1617, "eq2_id": 156, "equation1": "x = (y * z) * (w * (z * u))", "equation2": "x = (x * y) * (x * x)", "answer": true} |
| {"id": "normal_0151", "index": 151, "difficulty": "normal", "eq1_id": 4291, "eq2_id": 1393, "equation1": "x * (x * y) = y * (x * y)", "equation2": "x = y * (((z * z) * z) * z)", "answer": false} |
| {"id": "normal_0152", "index": 152, "difficulty": "normal", "eq1_id": 685, "eq2_id": 1809, "equation1": "x = y * (x * ((y * z) * w))", "equation2": "x = (y * z) * ((w * x) * w)", "answer": true} |
| {"id": "normal_0153", "index": 153, "difficulty": "normal", "eq1_id": 2585, "eq2_id": 223, "equation1": "x = (y * ((z * y) * x)) * y", "equation2": "x = (y * (x * y)) * z", "answer": true} |
| {"id": "normal_0154", "index": 154, "difficulty": "normal", "eq1_id": 2957, "eq2_id": 200, "equation1": "x = ((y * (y * z)) * x) * y", "equation2": "x = (y * z) * (w * z)", "answer": true} |
| {"id": "normal_0155", "index": 155, "difficulty": "normal", "eq1_id": 1017, "eq2_id": 2755, "equation1": "x = y * ((z * w) * (u * w))", "equation2": "x = ((y * y) * (z * x)) * z", "answer": true} |
| {"id": "normal_0156", "index": 156, "difficulty": "normal", "eq1_id": 3666, "eq2_id": 863, "equation1": "x * x = (x * y) * (x * z)", "equation2": "x = x * ((y * z) * (z * w))", "answer": false} |
| {"id": "normal_0157", "index": 157, "difficulty": "normal", "eq1_id": 887, "eq2_id": 2462, "equation1": "x = y * ((x * y) * (z * z))", "equation2": "x = (x * ((y * x) * z)) * x", "answer": false} |
| {"id": "normal_0158", "index": 158, "difficulty": "normal", "eq1_id": 1250, "eq2_id": 4607, "equation1": "x = x * (((y * y) * x) * z)", "equation2": "(x * x) * y = (y * x) * z", "answer": false} |
| {"id": "normal_0159", "index": 159, "difficulty": "normal", "eq1_id": 4115, "eq2_id": 2027, "equation1": "x * x = ((y * z) * w) * w", "equation2": "x = (y * (z * w)) * (w * w)", "answer": false} |
| {"id": "normal_0160", "index": 160, "difficulty": "normal", "eq1_id": 600, "eq2_id": 250, "equation1": "x = y * (z * (w * (z * z)))", "equation2": "x = (y * (z * w)) * x", "answer": true} |
| {"id": "normal_0161", "index": 161, "difficulty": "normal", "eq1_id": 711, "eq2_id": 3567, "equation1": "x = y * (y * ((x * z) * z))", "equation2": "x * y = y * ((z * x) * z)", "answer": true} |
| {"id": "normal_0162", "index": 162, "difficulty": "normal", "eq1_id": 3011, "eq2_id": 1456, "equation1": "x = ((y * (z * z)) * y) * x", "equation2": "x = (x * y) * (y * (y * z))", "answer": false} |
| {"id": "normal_0163", "index": 163, "difficulty": "normal", "eq1_id": 3735, "eq2_id": 2469, "equation1": "x * y = (x * z) * (y * x)", "equation2": "x = (x * ((y * y) * y)) * x", "answer": false} |
| {"id": "normal_0164", "index": 164, "difficulty": "normal", "eq1_id": 4516, "eq2_id": 2341, "equation1": "x * (y * z) = (x * z) * z", "equation2": "x = (y * (y * (y * y))) * y", "answer": false} |
| {"id": "normal_0165", "index": 165, "difficulty": "normal", "eq1_id": 368, "eq2_id": 1856, "equation1": "x * x = (y * y) * y", "equation2": "x = (x * (y * x)) * (z * w)", "answer": false} |
| {"id": "normal_0166", "index": 166, "difficulty": "normal", "eq1_id": 1359, "eq2_id": 210, "equation1": "x = y * (((z * x) * z) * z)", "equation2": "x = (x * (y * x)) * z", "answer": true} |
| {"id": "normal_0167", "index": 167, "difficulty": "normal", "eq1_id": 3264, "eq2_id": 3146, "equation1": "x * x = x * (y * (z * x))", "equation2": "x = (((y * y) * x) * z) * y", "answer": false} |
| {"id": "normal_0168", "index": 168, "difficulty": "normal", "eq1_id": 647, "eq2_id": 407, "equation1": "x = x * (y * ((y * z) * z))", "equation2": "x * y = (z * w) * y", "answer": false} |
| {"id": "normal_0169", "index": 169, "difficulty": "normal", "eq1_id": 2781, "eq2_id": 2758, "equation1": "x = ((y * z) * (x * z)) * w", "equation2": "x = ((y * y) * (z * y)) * y", "answer": true} |
| {"id": "normal_0170", "index": 170, "difficulty": "normal", "eq1_id": 1947, "eq2_id": 1306, "equation1": "x = (y * (y * z)) * (y * z)", "equation2": "x = y * (((x * z) * z) * w)", "answer": true} |
| {"id": "normal_0171", "index": 171, "difficulty": "normal", "eq1_id": 3399, "eq2_id": 3714, "equation1": "x * y = z * (y * (x * w))", "equation2": "x * y = (x * x) * (y * x)", "answer": true} |
| {"id": "normal_0172", "index": 172, "difficulty": "normal", "eq1_id": 2433, "eq2_id": 3105, "equation1": "x = (y * (z * (w * w))) * w", "equation2": "x = (((y * x) * x) * y) * x", "answer": true} |
| {"id": "normal_0173", "index": 173, "difficulty": "normal", "eq1_id": 1595, "eq2_id": 3924, "equation1": "x = (y * z) * (z * (z * y))", "equation2": "x * y = (x * (y * x)) * x", "answer": true} |
| {"id": "normal_0174", "index": 174, "difficulty": "normal", "eq1_id": 2481, "eq2_id": 2649, "equation1": "x = (x * ((y * z) * y)) * y", "equation2": "x = ((x * x) * (y * x)) * x", "answer": false} |
| {"id": "normal_0175", "index": 175, "difficulty": "normal", "eq1_id": 4062, "eq2_id": 426, "equation1": "x * y = (z * (w * u)) * w", "equation2": "x = x * (y * (x * (x * x)))", "answer": false} |
| {"id": "normal_0176", "index": 176, "difficulty": "normal", "eq1_id": 2091, "eq2_id": 4643, "equation1": "x = ((y * x) * x) * (y * y)", "equation2": "(x * y) * x = (z * x) * y", "answer": false} |
| {"id": "normal_0177", "index": 177, "difficulty": "normal", "eq1_id": 3640, "eq2_id": 3323, "equation1": "x * y = z * ((w * y) * z)", "equation2": "x * y = x * (y * (z * z))", "answer": true} |
| {"id": "normal_0178", "index": 178, "difficulty": "normal", "eq1_id": 820, "eq2_id": 2372, "equation1": "x = x * ((x * x) * (y * y))", "equation2": "x = (y * (z * (x * z))) * x", "answer": false} |
| {"id": "normal_0179", "index": 179, "difficulty": "normal", "eq1_id": 3434, "eq2_id": 579, "equation1": "x * y = z * (w * (x * u))", "equation2": "x = y * (z * (z * (z * x)))", "answer": false} |
| {"id": "normal_0180", "index": 180, "difficulty": "normal", "eq1_id": 2953, "eq2_id": 2938, "equation1": "x = ((y * (y * y)) * z) * y", "equation2": "x = ((y * (y * x)) * x) * z", "answer": true} |
| {"id": "normal_0181", "index": 181, "difficulty": "normal", "eq1_id": 1348, "eq2_id": 229, "equation1": "x = y * (((y * z) * w) * u)", "equation2": "x = (y * (y * x)) * y", "answer": true} |
| {"id": "normal_0182", "index": 182, "difficulty": "normal", "eq1_id": 3365, "eq2_id": 3023, "equation1": "x * y = y * (z * (x * w))", "equation2": "x = ((y * (z * z)) * w) * u", "answer": false} |
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| {"id": "normal_0184", "index": 184, "difficulty": "normal", "eq1_id": 2189, "eq2_id": 3561, "equation1": "x = ((y * z) * y) * (z * w)", "equation2": "x * y = y * ((y * z) * x)", "answer": true} |
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| {"id": "normal_0188", "index": 188, "difficulty": "normal", "eq1_id": 3767, "eq2_id": 4431, "equation1": "x * y = (y * y) * (z * w)", "equation2": "x * (x * y) = (z * w) * u", "answer": true} |
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| {"id": "normal_0190", "index": 190, "difficulty": "normal", "eq1_id": 1637, "eq2_id": 3533, "equation1": "x = (x * x) * ((y * y) * x)", "equation2": "x * y = x * ((z * y) * y)", "answer": false} |
| {"id": "normal_0191", "index": 191, "difficulty": "normal", "eq1_id": 2420, "eq2_id": 590, "equation1": "x = (y * (z * (w * y))) * x", "equation2": "x = y * (z * (w * (x * z)))", "answer": false} |
| {"id": "normal_0192", "index": 192, "difficulty": "normal", "eq1_id": 89, "eq2_id": 1060, "equation1": "x = y * (z * (y * w))", "equation2": "x = x * ((y * (z * y)) * y)", "answer": true} |
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| {"id": "normal_0194", "index": 194, "difficulty": "normal", "eq1_id": 2022, "eq2_id": 1233, "equation1": "x = (y * (z * w)) * (z * w)", "equation2": "x = x * (((x * y) * y) * z)", "answer": true} |
| {"id": "normal_0195", "index": 195, "difficulty": "normal", "eq1_id": 1010, "eq2_id": 1698, "equation1": "x = y * ((z * w) * (w * y))", "equation2": "x = (y * x) * ((y * z) * y)", "answer": true} |
| {"id": "normal_0196", "index": 196, "difficulty": "normal", "eq1_id": 3906, "eq2_id": 2834, "equation1": "x * x = (y * (z * z)) * y", "equation2": "x = ((y * z) * (w * z)) * w", "answer": false} |
| {"id": "normal_0197", "index": 197, "difficulty": "normal", "eq1_id": 1320, "eq2_id": 976, "equation1": "x = y * (((y * x) * z) * z)", "equation2": "x = y * ((z * y) * (w * u))", "answer": false} |
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| {"id": "normal_0199", "index": 199, "difficulty": "normal", "eq1_id": 4085, "eq2_id": 1806, "equation1": "x * x = ((y * x) * y) * z", "equation2": "x = (y * z) * ((w * x) * x)", "answer": false} |
| {"id": "normal_0200", "index": 200, "difficulty": "normal", "eq1_id": 2195, "eq2_id": 2882, "equation1": "x = ((y * z) * z) * (x * x)", "equation2": "x = ((x * (y * z)) * x) * x", "answer": false} |
| {"id": "normal_0201", "index": 201, "difficulty": "normal", "eq1_id": 3156, "eq2_id": 3621, "equation1": "x = (((y * y) * y) * z) * y", "equation2": "x * y = z * ((z * y) * y)", "answer": true} |
| {"id": "normal_0202", "index": 202, "difficulty": "normal", "eq1_id": 2386, "eq2_id": 3226, "equation1": "x = (y * (z * (y * y))) * y", "equation2": "x = (((y * z) * z) * w) * u", "answer": true} |
| {"id": "normal_0203", "index": 203, "difficulty": "normal", "eq1_id": 982, "eq2_id": 545, "equation1": "x = y * ((z * z) * (y * y))", "equation2": "x = y * (z * (x * (z * x)))", "answer": true} |
| {"id": "normal_0204", "index": 204, "difficulty": "normal", "eq1_id": 2331, "eq2_id": 3756, "equation1": "x = (y * (y * (x * y))) * y", "equation2": "x * y = (y * x) * (z * z)", "answer": false} |
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| {"id": "normal_0206", "index": 206, "difficulty": "normal", "eq1_id": 3632, "eq2_id": 4475, "equation1": "x * y = z * ((z * w) * u)", "equation2": "x * (y * y) = (x * z) * x", "answer": true} |
| {"id": "normal_0207", "index": 207, "difficulty": "normal", "eq1_id": 3273, "eq2_id": 4013, "equation1": "x * x = y * (x * (y * z))", "equation2": "x * y = (z * (y * z)) * x", "answer": false} |
| {"id": "normal_0208", "index": 208, "difficulty": "normal", "eq1_id": 3774, "eq2_id": 1494, "equation1": "x * y = (y * z) * (y * z)", "equation2": "x = (y * x) * (y * (z * x))", "answer": false} |
| {"id": "normal_0209", "index": 209, "difficulty": "normal", "eq1_id": 4623, "eq2_id": 4014, "equation1": "(x * x) * y = (z * z) * w", "equation2": "x * y = (z * (y * z)) * y", "answer": false} |
| {"id": "normal_0210", "index": 210, "difficulty": "normal", "eq1_id": 2421, "eq2_id": 3205, "equation1": "x = (y * (z * (w * y))) * y", "equation2": "x = (((y * z) * y) * w) * x", "answer": true} |
| {"id": "normal_0211", "index": 211, "difficulty": "normal", "eq1_id": 1390, "eq2_id": 1130, "equation1": "x = y * (((z * z) * y) * w)", "equation2": "x = y * ((y * (z * x)) * y)", "answer": true} |
| {"id": "normal_0212", "index": 212, "difficulty": "normal", "eq1_id": 3391, "eq2_id": 4539, "equation1": "x * y = z * (x * (w * x))", "equation2": "x * (y * z) = (y * w) * u", "answer": true} |
| {"id": "normal_0213", "index": 213, "difficulty": "normal", "eq1_id": 2237, "eq2_id": 4599, "equation1": "x = ((y * z) * w) * (u * v)", "equation2": "(x * x) * y = (x * y) * y", "answer": true} |
| {"id": "normal_0214", "index": 214, "difficulty": "normal", "eq1_id": 2568, "eq2_id": 2754, "equation1": "x = (y * ((z * x) * x)) * y", "equation2": "x = ((y * y) * (z * x)) * y", "answer": true} |
| {"id": "normal_0215", "index": 215, "difficulty": "normal", "eq1_id": 3241, "eq2_id": 334, "equation1": "x = (((y * z) * w) * z) * u", "equation2": "x * y = y * (x * z)", "answer": true} |
| {"id": "normal_0216", "index": 216, "difficulty": "normal", "eq1_id": 3687, "eq2_id": 1492, "equation1": "x * x = (y * y) * (y * x)", "equation2": "x = (y * x) * (y * (y * y))", "answer": false} |
| {"id": "normal_0217", "index": 217, "difficulty": "normal", "eq1_id": 1931, "eq2_id": 1952, "equation1": "x = (y * (y * y)) * (x * x)", "equation2": "x = (y * (y * z)) * (z * w)", "answer": false} |
| {"id": "normal_0218", "index": 218, "difficulty": "normal", "eq1_id": 3779, "eq2_id": 99, "equation1": "x * y = (y * z) * (z * w)", "equation2": "x = x * ((x * x) * x)", "answer": false} |
| {"id": "normal_0219", "index": 219, "difficulty": "normal", "eq1_id": 475, "eq2_id": 3275, "equation1": "x = y * (x * (y * (x * z)))", "equation2": "x * x = y * (x * (z * y))", "answer": true} |
| {"id": "normal_0220", "index": 220, "difficulty": "normal", "eq1_id": 3800, "eq2_id": 730, "equation1": "x * y = (z * x) * (w * w)", "equation2": "x = y * (y * ((z * y) * w))", "answer": false} |
| {"id": "normal_0221", "index": 221, "difficulty": "normal", "eq1_id": 435, "eq2_id": 1651, "equation1": "x = x * (y * (x * (z * w)))", "equation2": "x = (x * y) * ((x * z) * y)", "answer": true} |
| {"id": "normal_0222", "index": 222, "difficulty": "normal", "eq1_id": 1107, "eq2_id": 2016, "equation1": "x = y * ((x * (z * w)) * w)", "equation2": "x = (y * (z * w)) * (y * z)", "answer": true} |
| {"id": "normal_0223", "index": 223, "difficulty": "normal", "eq1_id": 2910, "eq2_id": 3046, "equation1": "x = ((y * (x * y)) * x) * y", "equation2": "x = ((y * (z * w)) * u) * z", "answer": false} |
| {"id": "normal_0224", "index": 224, "difficulty": "normal", "eq1_id": 3170, "eq2_id": 1459, "equation1": "x = (((y * y) * z) * z) * w", "equation2": "x = (x * y) * (y * (z * z))", "answer": true} |
| {"id": "normal_0225", "index": 225, "difficulty": "normal", "eq1_id": 3444, "eq2_id": 4001, "equation1": "x * y = z * (w * (z * u))", "equation2": "x * y = (z * (x * w)) * y", "answer": true} |
| {"id": "normal_0226", "index": 226, "difficulty": "normal", "eq1_id": 4041, "eq2_id": 1153, "equation1": "x * y = (z * (w * x)) * z", "equation2": "x = y * ((z * (x * y)) * w)", "answer": false} |
| {"id": "normal_0227", "index": 227, "difficulty": "normal", "eq1_id": 2377, "eq2_id": 1139, "equation1": "x = (y * (z * (x * w))) * y", "equation2": "x = y * ((y * (z * z)) * z)", "answer": true} |
| {"id": "normal_0228", "index": 228, "difficulty": "normal", "eq1_id": 4324, "eq2_id": 1520, "equation1": "x * (y * x) = y * (z * y)", "equation2": "x = (y * y) * (x * (y * z))", "answer": false} |
| {"id": "normal_0229", "index": 229, "difficulty": "normal", "eq1_id": 1000, "eq2_id": 1618, "equation1": "x = y * ((z * w) * (y * y))", "equation2": "x = (y * z) * (w * (w * x))", "answer": true} |
| {"id": "normal_0230", "index": 230, "difficulty": "normal", "eq1_id": 1194, "eq2_id": 3339, "equation1": "x = y * ((z * (z * w)) * z)", "equation2": "x * y = x * (z * (w * z))", "answer": true} |
| {"id": "normal_0231", "index": 231, "difficulty": "normal", "eq1_id": 1574, "eq2_id": 136, "equation1": "x = (y * z) * (y * (y * y))", "equation2": "x = y * ((z * x) * z)", "answer": true} |
| {"id": "normal_0232", "index": 232, "difficulty": "normal", "eq1_id": 2518, "eq2_id": 1907, "equation1": "x = (y * ((x * z) * y)) * y", "equation2": "x = (y * (x * z)) * (x * w)", "answer": true} |
| {"id": "normal_0233", "index": 233, "difficulty": "normal", "eq1_id": 3394, "eq2_id": 931, "equation1": "x * y = z * (x * (w * w))", "equation2": "x = y * ((y * z) * (y * y))", "answer": false} |
| {"id": "normal_0234", "index": 234, "difficulty": "normal", "eq1_id": 2358, "eq2_id": 3704, "equation1": "x = (y * (y * (z * z))) * w", "equation2": "x * x = (y * z) * (z * z)", "answer": true} |
| {"id": "normal_0235", "index": 235, "difficulty": "normal", "eq1_id": 1554, "eq2_id": 413, "equation1": "x = (y * z) * (x * (x * z))", "equation2": "x = x * (x * (x * (y * x)))", "answer": true} |
| {"id": "normal_0236", "index": 236, "difficulty": "normal", "eq1_id": 1229, "eq2_id": 4615, "equation1": "x = x * (((x * y) * x) * y)", "equation2": "(x * x) * y = (z * x) * y", "answer": false} |
| {"id": "normal_0237", "index": 237, "difficulty": "normal", "eq1_id": 1050, "eq2_id": 231, "equation1": "x = x * ((y * (y * y)) * z)", "equation2": "x = (y * (y * y)) * x", "answer": false} |
| {"id": "normal_0238", "index": 238, "difficulty": "normal", "eq1_id": 1970, "eq2_id": 4396, "equation1": "x = (y * (z * x)) * (w * x)", "equation2": "x * (x * y) = (x * x) * y", "answer": false} |
| {"id": "normal_0239", "index": 239, "difficulty": "normal", "eq1_id": 2340, "eq2_id": 1969, "equation1": "x = (y * (y * (y * y))) * x", "equation2": "x = (y * (z * x)) * (z * w)", "answer": false} |
| {"id": "normal_0240", "index": 240, "difficulty": "normal", "eq1_id": 2664, "eq2_id": 1708, "equation1": "x = ((x * y) * (x * y)) * z", "equation2": "x = (y * x) * ((z * y) * w)", "answer": false} |
| {"id": "normal_0241", "index": 241, "difficulty": "normal", "eq1_id": 2611, "eq2_id": 1718, "equation1": "x = (y * ((z * z) * z)) * z", "equation2": "x = (y * y) * ((x * x) * x)", "answer": true} |
| {"id": "normal_0242", "index": 242, "difficulty": "normal", "eq1_id": 423, "eq2_id": 2966, "equation1": "x = x * (x * (y * (z * y)))", "equation2": "x = ((y * (y * z)) * z) * z", "answer": false} |
| {"id": "normal_0243", "index": 243, "difficulty": "normal", "eq1_id": 2171, "eq2_id": 4005, "equation1": "x = ((y * z) * x) * (z * z)", "equation2": "x * y = (z * (y * x)) * x", "answer": true} |
| {"id": "normal_0244", "index": 244, "difficulty": "normal", "eq1_id": 834, "eq2_id": 1054, "equation1": "x = x * ((y * x) * (x * z))", "equation2": "x = x * ((y * (y * z)) * w)", "answer": false} |
| {"id": "normal_0245", "index": 245, "difficulty": "normal", "eq1_id": 3926, "eq2_id": 1858, "equation1": "x * y = (x * (y * x)) * z", "equation2": "x = (x * (y * y)) * (x * y)", "answer": false} |
| {"id": "normal_0246", "index": 246, "difficulty": "normal", "eq1_id": 3638, "eq2_id": 662, "equation1": "x * y = z * ((w * y) * x)", "equation2": "x = x * (y * ((z * w) * y))", "answer": false} |
| {"id": "normal_0247", "index": 247, "difficulty": "normal", "eq1_id": 916, "eq2_id": 4654, "equation1": "x = y * ((y * y) * (x * x))", "equation2": "(x * y) * y = (x * y) * z", "answer": false} |
| {"id": "normal_0248", "index": 248, "difficulty": "normal", "eq1_id": 3371, "eq2_id": 2418, "equation1": "x * y = y * (z * (z * y))", "equation2": "x = (y * (z * (w * x))) * w", "answer": false} |
| {"id": "normal_0249", "index": 249, "difficulty": "normal", "eq1_id": 4246, "eq2_id": 804, "equation1": "x * y = ((z * w) * x) * u", "equation2": "x = y * (z * ((w * z) * w))", "answer": false} |
| {"id": "normal_0250", "index": 250, "difficulty": "normal", "eq1_id": 2529, "eq2_id": 1292, "equation1": "x = (y * ((x * z) * w)) * u", "equation2": "x = y * (((x * y) * z) * y)", "answer": true} |
| {"id": "normal_0251", "index": 251, "difficulty": "normal", "eq1_id": 2700, "eq2_id": 38, "equation1": "x = ((y * x) * (x * y)) * y", "equation2": "x * x = x * y", "answer": false} |
| {"id": "normal_0252", "index": 252, "difficulty": "normal", "eq1_id": 763, "eq2_id": 3389, "equation1": "x = y * (z * ((y * y) * z))", "equation2": "x * y = z * (x * (z * z))", "answer": true} |
| {"id": "normal_0253", "index": 253, "difficulty": "normal", "eq1_id": 2780, "eq2_id": 4363, "equation1": "x = ((y * z) * (x * z)) * z", "equation2": "x * (y * z) = y * (x * w)", "answer": true} |
| {"id": "normal_0254", "index": 254, "difficulty": "normal", "eq1_id": 3783, "eq2_id": 1838, "equation1": "x * y = (y * z) * (w * w)", "equation2": "x = (x * (x * y)) * (x * y)", "answer": false} |
| {"id": "normal_0255", "index": 255, "difficulty": "normal", "eq1_id": 1793, "eq2_id": 2483, "equation1": "x = (y * z) * ((z * y) * x)", "equation2": "x = (x * ((y * z) * y)) * w", "answer": false} |
| {"id": "normal_0256", "index": 256, "difficulty": "normal", "eq1_id": 521, "eq2_id": 1515, "equation1": "x = y * (y * (z * (x * y)))", "equation2": "x = (y * y) * (x * (x * x))", "answer": true} |
| {"id": "normal_0257", "index": 257, "difficulty": "normal", "eq1_id": 573, "eq2_id": 719, "equation1": "x = y * (z * (z * (x * z)))", "equation2": "x = y * (y * ((y * z) * x))", "answer": true} |
| {"id": "normal_0258", "index": 258, "difficulty": "normal", "eq1_id": 4597, "eq2_id": 3487, "equation1": "(x * x) * y = (x * x) * z", "equation2": "x * x = y * ((y * z) * x)", "answer": false} |
| {"id": "normal_0259", "index": 259, "difficulty": "normal", "eq1_id": 921, "eq2_id": 1605, "equation1": "x = y * ((y * y) * (y * z))", "equation2": "x = (y * z) * (w * (x * z))", "answer": true} |
| {"id": "normal_0260", "index": 260, "difficulty": "normal", "eq1_id": 1808, "eq2_id": 3695, "equation1": "x = (y * z) * ((w * x) * z)", "equation2": "x * x = (y * z) * (x * y)", "answer": true} |
| {"id": "normal_0261", "index": 261, "difficulty": "normal", "eq1_id": 2264, "eq2_id": 874, "equation1": "x = (x * (y * (y * x))) * y", "equation2": "x = y * ((x * x) * (y * z))", "answer": false} |
| {"id": "normal_0262", "index": 262, "difficulty": "normal", "eq1_id": 2621, "eq2_id": 4442, "equation1": "x = (y * ((z * w) * x)) * w", "equation2": "x * (y * x) = (y * x) * x", "answer": true} |
| {"id": "normal_0263", "index": 263, "difficulty": "normal", "eq1_id": 502, "eq2_id": 273, "equation1": "x = y * (y * (x * (x * z)))", "equation2": "x = ((y * x) * y) * x", "answer": true} |
| {"id": "normal_0264", "index": 264, "difficulty": "normal", "eq1_id": 1954, "eq2_id": 1000, "equation1": "x = (y * (y * z)) * (w * y)", "equation2": "x = y * ((z * w) * (y * y))", "answer": true} |
| {"id": "normal_0265", "index": 265, "difficulty": "normal", "eq1_id": 2451, "eq2_id": 57, "equation1": "x = (x * ((x * y) * y)) * z", "equation2": "x = x * (y * (y * z))", "answer": false} |
| {"id": "normal_0266", "index": 266, "difficulty": "normal", "eq1_id": 105, "eq2_id": 4089, "equation1": "x = x * ((y * x) * y)", "equation2": "x * x = ((y * x) * z) * w", "answer": false} |
| {"id": "normal_0267", "index": 267, "difficulty": "normal", "eq1_id": 3319, "eq2_id": 2655, "equation1": "x * y = x * (y * (y * y))", "equation2": "x = ((x * x) * (y * z)) * x", "answer": false} |
| {"id": "normal_0268", "index": 268, "difficulty": "normal", "eq1_id": 220, "eq2_id": 1169, "equation1": "x = (y * (x * x)) * z", "equation2": "x = y * ((z * (y * y)) * z)", "answer": true} |
| {"id": "normal_0269", "index": 269, "difficulty": "normal", "eq1_id": 541, "eq2_id": 3408, "equation1": "x = y * (z * (x * (y * x)))", "equation2": "x * y = z * (y * (w * x))", "answer": false} |
| {"id": "normal_0270", "index": 270, "difficulty": "normal", "eq1_id": 3026, "eq2_id": 32, "equation1": "x = ((y * (z * w)) * x) * z", "equation2": "x = (y * y) * y", "answer": true} |
| {"id": "normal_0271", "index": 271, "difficulty": "normal", "eq1_id": 209, "eq2_id": 3222, "equation1": "x = (x * (y * x)) * y", "equation2": "x = (((y * z) * z) * w) * x", "answer": false} |
| {"id": "normal_0272", "index": 272, "difficulty": "normal", "eq1_id": 2497, "eq2_id": 4674, "equation1": "x = (y * ((x * x) * y)) * y", "equation2": "(x * y) * z = (x * z) * w", "answer": false} |
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| {"id": "normal_0280", "index": 280, "difficulty": "normal", "eq1_id": 4347, "eq2_id": 732, "equation1": "x * (y * y) = y * (z * w)", "equation2": "x = y * (y * ((z * z) * y))", "answer": false} |
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| {"id": "normal_0291", "index": 291, "difficulty": "normal", "eq1_id": 2482, "eq2_id": 981, "equation1": "x = (x * ((y * z) * y)) * z", "equation2": "x = y * ((z * z) * (y * x))", "answer": false} |
| {"id": "normal_0292", "index": 292, "difficulty": "normal", "eq1_id": 3576, "eq2_id": 3958, "equation1": "x * y = y * ((z * z) * w)", "equation2": "x * y = (y * (x * z)) * y", "answer": true} |
| {"id": "normal_0293", "index": 293, "difficulty": "normal", "eq1_id": 1795, "eq2_id": 4237, "equation1": "x = (y * z) * ((z * y) * z)", "equation2": "x * y = ((z * z) * w) * x", "answer": true} |
| {"id": "normal_0294", "index": 294, "difficulty": "normal", "eq1_id": 4374, "eq2_id": 3844, "equation1": "x * (y * z) = w * (y * z)", "equation2": "x * y = (z * w) * (y * w)", "answer": false} |
| {"id": "normal_0295", "index": 295, "difficulty": "normal", "eq1_id": 4679, "eq2_id": 3068, "equation1": "(x * y) * z = (y * z) * x", "equation2": "x = (((x * y) * x) * y) * x", "answer": false} |
| {"id": "normal_0296", "index": 296, "difficulty": "normal", "eq1_id": 1595, "eq2_id": 142, "equation1": "x = (y * z) * (z * (z * y))", "equation2": "x = y * ((z * z) * x)", "answer": true} |
| {"id": "normal_0297", "index": 297, "difficulty": "normal", "eq1_id": 2345, "eq2_id": 4152, "equation1": "x = (y * (y * (y * z))) * z", "equation2": "x * y = ((x * z) * w) * w", "answer": true} |
| {"id": "normal_0298", "index": 298, "difficulty": "normal", "eq1_id": 2254, "eq2_id": 1903, "equation1": "x = (x * (y * (x * x))) * y", "equation2": "x = (y * (x * y)) * (z * w)", "answer": false} |
| {"id": "normal_0299", "index": 299, "difficulty": "normal", "eq1_id": 3459, "eq2_id": 4069, "equation1": "x * x = x * ((x * y) * y)", "equation2": "x * x = ((x * x) * y) * z", "answer": false} |
| {"id": "normal_0300", "index": 300, "difficulty": "normal", "eq1_id": 2579, "eq2_id": 2212, "equation1": "x = (y * ((z * x) * w)) * x", "equation2": "x = ((y * z) * w) * (x * x)", "answer": true} |
| {"id": "normal_0301", "index": 301, "difficulty": "normal", "eq1_id": 4661, "eq2_id": 4544, "equation1": "(x * y) * y = (y * z) * z", "equation2": "x * (y * z) = (z * y) * x", "answer": false} |
| {"id": "normal_0302", "index": 302, "difficulty": "normal", "eq1_id": 2540, "eq2_id": 3394, "equation1": "x = (y * ((y * y) * x)) * x", "equation2": "x * y = z * (x * (w * w))", "answer": false} |
| {"id": "normal_0303", "index": 303, "difficulty": "normal", "eq1_id": 240, "eq2_id": 1350, "equation1": "x = (y * (z * x)) * z", "equation2": "x = y * (((z * x) * x) * y)", "answer": true} |
| {"id": "normal_0304", "index": 304, "difficulty": "normal", "eq1_id": 4675, "eq2_id": 2674, "equation1": "(x * y) * z = (x * w) * z", "equation2": "x = ((x * y) * (y * y)) * z", "answer": false} |
| {"id": "normal_0305", "index": 305, "difficulty": "normal", "eq1_id": 1726, "eq2_id": 452, "equation1": "x = (y * y) * ((x * z) * z)", "equation2": "x = x * (y * (z * (y * z)))", "answer": false} |
| {"id": "normal_0306", "index": 306, "difficulty": "normal", "eq1_id": 4444, "eq2_id": 656, "equation1": "x * (y * x) = (y * x) * z", "equation2": "x = x * (y * ((z * y) * w))", "answer": false} |
| {"id": "normal_0307", "index": 307, "difficulty": "normal", "eq1_id": 1888, "eq2_id": 4667, "equation1": "x = (y * (x * x)) * (y * y)", "equation2": "(x * y) * y = (z * y) * w", "answer": false} |
| {"id": "normal_0308", "index": 308, "difficulty": "normal", "eq1_id": 737, "eq2_id": 3891, "equation1": "x = y * (y * ((z * w) * z))", "equation2": "x * x = (y * (y * y)) * y", "answer": true} |
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| {"id": "normal_0310", "index": 310, "difficulty": "normal", "eq1_id": 1875, "eq2_id": 1782, "equation1": "x = (x * (y * z)) * (z * x)", "equation2": "x = (y * z) * ((y * z) * z)", "answer": false} |
| {"id": "normal_0311", "index": 311, "difficulty": "normal", "eq1_id": 4099, "eq2_id": 2448, "equation1": "x * x = ((y * y) * z) * w", "equation2": "x = (x * ((x * y) * x)) * z", "answer": false} |
| {"id": "normal_0312", "index": 312, "difficulty": "normal", "eq1_id": 4208, "eq2_id": 2987, "equation1": "x * y = ((z * y) * x) * x", "equation2": "x = ((y * (z * x)) * w) * z", "answer": false} |
| {"id": "normal_0313", "index": 313, "difficulty": "normal", "eq1_id": 2378, "eq2_id": 2727, "equation1": "x = (y * (z * (x * w))) * z", "equation2": "x = ((y * x) * (z * z)) * w", "answer": true} |
| {"id": "normal_0314", "index": 314, "difficulty": "normal", "eq1_id": 1716, "eq2_id": 4500, "equation1": "x = (y * x) * ((z * w) * w)", "equation2": "x * (y * y) = (z * z) * w", "answer": true} |
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| {"id": "normal_0316", "index": 316, "difficulty": "normal", "eq1_id": 604, "eq2_id": 157, "equation1": "x = y * (z * (w * (w * y)))", "equation2": "x = (x * y) * (x * y)", "answer": true} |
| {"id": "normal_0317", "index": 317, "difficulty": "normal", "eq1_id": 2715, "eq2_id": 1630, "equation1": "x = ((y * x) * (y * z)) * w", "equation2": "x = (x * x) * ((x * x) * y)", "answer": true} |
| {"id": "normal_0318", "index": 318, "difficulty": "normal", "eq1_id": 349, "eq2_id": 2255, "equation1": "x * y = z * (y * w)", "equation2": "x = (x * (y * (x * x))) * z", "answer": false} |
| {"id": "normal_0319", "index": 319, "difficulty": "normal", "eq1_id": 2955, "eq2_id": 2432, "equation1": "x = ((y * (y * y)) * z) * w", "equation2": "x = (y * (z * (w * w))) * z", "answer": true} |
| {"id": "normal_0320", "index": 320, "difficulty": "normal", "eq1_id": 18, "eq2_id": 4648, "equation1": "x = y * (y * z)", "equation2": "(x * y) * x = (z * y) * w", "answer": true} |
| {"id": "normal_0321", "index": 321, "difficulty": "normal", "eq1_id": 3171, "eq2_id": 1979, "equation1": "x = (((y * y) * z) * w) * x", "equation2": "x = (y * (z * y)) * (y * x)", "answer": true} |
| {"id": "normal_0322", "index": 322, "difficulty": "normal", "eq1_id": 745, "eq2_id": 1284, "equation1": "x = y * (z * ((x * y) * y))", "equation2": "x = y * (((x * x) * z) * w)", "answer": true} |
| {"id": "normal_0323", "index": 323, "difficulty": "normal", "eq1_id": 2434, "eq2_id": 2002, "equation1": "x = (y * (z * (w * w))) * u", "equation2": "x = (y * (z * z)) * (z * z)", "answer": true} |
| {"id": "normal_0324", "index": 324, "difficulty": "normal", "eq1_id": 4082, "eq2_id": 4108, "equation1": "x * x = ((y * x) * x) * z", "equation2": "x * x = ((y * z) * z) * x", "answer": true} |
| {"id": "normal_0325", "index": 325, "difficulty": "normal", "eq1_id": 3618, "eq2_id": 312, "equation1": "x * y = z * ((z * x) * z)", "equation2": "x * x = y * (x * x)", "answer": true} |
| {"id": "normal_0326", "index": 326, "difficulty": "normal", "eq1_id": 646, "eq2_id": 2855, "equation1": "x = x * (y * ((y * z) * y))", "equation2": "x = ((x * (x * y)) * y) * x", "answer": false} |
| {"id": "normal_0327", "index": 327, "difficulty": "normal", "eq1_id": 2324, "eq2_id": 3482, "equation1": "x = (y * (x * (z * w))) * z", "equation2": "x * x = y * ((y * x) * y)", "answer": true} |
| {"id": "normal_0328", "index": 328, "difficulty": "normal", "eq1_id": 2986, "eq2_id": 1229, "equation1": "x = ((y * (z * x)) * w) * y", "equation2": "x = x * (((x * y) * x) * y)", "answer": true} |
| {"id": "normal_0329", "index": 329, "difficulty": "normal", "eq1_id": 1605, "eq2_id": 2627, "equation1": "x = (y * z) * (w * (x * z))", "equation2": "x = (y * ((z * w) * y)) * u", "answer": true} |
| {"id": "normal_0330", "index": 330, "difficulty": "normal", "eq1_id": 3114, "eq2_id": 1804, "equation1": "x = (((y * x) * y) * x) * z", "equation2": "x = (y * z) * ((z * w) * w)", "answer": true} |
| {"id": "normal_0331", "index": 331, "difficulty": "normal", "eq1_id": 2524, "eq2_id": 1988, "equation1": "x = (y * ((x * z) * z)) * w", "equation2": "x = (y * (z * y)) * (w * y)", "answer": true} |
| {"id": "normal_0332", "index": 332, "difficulty": "normal", "eq1_id": 4077, "eq2_id": 942, "equation1": "x * x = ((x * y) * z) * y", "equation2": "x = y * ((y * z) * (w * u))", "answer": false} |
| {"id": "normal_0333", "index": 333, "difficulty": "normal", "eq1_id": 1603, "eq2_id": 1431, "equation1": "x = (y * z) * (w * (x * x))", "equation2": "x = (x * x) * (y * (x * x))", "answer": true} |
| {"id": "normal_0334", "index": 334, "difficulty": "normal", "eq1_id": 1802, "eq2_id": 1373, "equation1": "x = (y * z) * ((z * w) * y)", "equation2": "x = y * (((z * y) * y) * w)", "answer": true} |
| {"id": "normal_0335", "index": 335, "difficulty": "normal", "eq1_id": 63, "eq2_id": 2272, "equation1": "x = y * (x * (x * y))", "equation2": "x = (x * (y * (y * z))) * w", "answer": false} |
| {"id": "normal_0336", "index": 336, "difficulty": "normal", "eq1_id": 2825, "eq2_id": 3995, "equation1": "x = ((y * z) * (w * x)) * u", "equation2": "x * y = (z * (x * y)) * w", "answer": true} |
| {"id": "normal_0337", "index": 337, "difficulty": "normal", "eq1_id": 2851, "eq2_id": 2559, "equation1": "x = ((x * (x * x)) * y) * z", "equation2": "x = (y * ((y * z) * z)) * y", "answer": false} |
| {"id": "normal_0338", "index": 338, "difficulty": "normal", "eq1_id": 2038, "eq2_id": 1549, "equation1": "x = ((x * x) * x) * (y * y)", "equation2": "x = (y * y) * (z * (w * z))", "answer": false} |
| {"id": "normal_0339", "index": 339, "difficulty": "normal", "eq1_id": 3286, "eq2_id": 866, "equation1": "x * x = y * (y * (z * z))", "equation2": "x = x * ((y * z) * (w * z))", "answer": false} |
| {"id": "normal_0340", "index": 340, "difficulty": "normal", "eq1_id": 73, "eq2_id": 2708, "equation1": "x = y * (y * (x * y))", "equation2": "x = ((y * x) * (y * x)) * z", "answer": false} |
| {"id": "normal_0341", "index": 341, "difficulty": "normal", "eq1_id": 604, "eq2_id": 1810, "equation1": "x = y * (z * (w * (w * y)))", "equation2": "x = (y * z) * ((w * x) * u)", "answer": true} |
| {"id": "normal_0342", "index": 342, "difficulty": "normal", "eq1_id": 1321, "eq2_id": 2805, "equation1": "x = y * (((y * x) * z) * w)", "equation2": "x = ((y * z) * (z * x)) * y", "answer": true} |
| {"id": "normal_0343", "index": 343, "difficulty": "normal", "eq1_id": 1895, "eq2_id": 530, "equation1": "x = (y * (x * y)) * (x * y)", "equation2": "x = y * (y * (z * (z * z)))", "answer": false} |
| {"id": "normal_0344", "index": 344, "difficulty": "normal", "eq1_id": 2132, "eq2_id": 2796, "equation1": "x = ((y * y) * x) * (z * z)", "equation2": "x = ((y * z) * (y * z)) * y", "answer": false} |
| {"id": "normal_0345", "index": 345, "difficulty": "normal", "eq1_id": 1203, "eq2_id": 4081, "equation1": "x = y * ((z * (w * y)) * y)", "equation2": "x * x = ((y * x) * x) * y", "answer": true} |
| {"id": "normal_0346", "index": 346, "difficulty": "normal", "eq1_id": 3109, "eq2_id": 450, "equation1": "x = (((y * x) * x) * z) * y", "equation2": "x = x * (y * (z * (y * x)))", "answer": true} |
| {"id": "normal_0347", "index": 347, "difficulty": "normal", "eq1_id": 2709, "eq2_id": 363, "equation1": "x = ((y * x) * (y * y)) * x", "equation2": "x * x = (x * y) * z", "answer": false} |
| {"id": "normal_0348", "index": 348, "difficulty": "normal", "eq1_id": 2694, "eq2_id": 804, "equation1": "x = ((x * y) * (z * w)) * w", "equation2": "x = y * (z * ((w * z) * w))", "answer": false} |
| {"id": "normal_0349", "index": 349, "difficulty": "normal", "eq1_id": 786, "eq2_id": 1585, "equation1": "x = y * (z * ((z * w) * x))", "equation2": "x = (y * z) * (y * (w * u))", "answer": false} |
| {"id": "normal_0350", "index": 350, "difficulty": "normal", "eq1_id": 1654, "eq2_id": 1345, "equation1": "x = (x * y) * ((y * x) * x)", "equation2": "x = y * (((y * z) * w) * y)", "answer": false} |
| {"id": "normal_0351", "index": 351, "difficulty": "normal", "eq1_id": 95, "eq2_id": 354, "equation1": "x = y * (z * (w * y))", "equation2": "x * y = z * (w * x)", "answer": true} |
| {"id": "normal_0352", "index": 352, "difficulty": "normal", "eq1_id": 2738, "eq2_id": 159, "equation1": "x = ((y * y) * (x * y)) * z", "equation2": "x = (x * y) * (y * x)", "answer": true} |
| {"id": "normal_0353", "index": 353, "difficulty": "normal", "eq1_id": 3862, "eq2_id": 3979, "equation1": "x * x = (x * (x * x)) * x", "equation2": "x * y = (y * (z * z)) * x", "answer": false} |
| {"id": "normal_0354", "index": 354, "difficulty": "normal", "eq1_id": 3718, "eq2_id": 4116, "equation1": "x * y = (x * x) * (z * y)", "equation2": "x * x = ((y * z) * w) * u", "answer": false} |
| {"id": "normal_0355", "index": 355, "difficulty": "normal", "eq1_id": 899, "eq2_id": 4591, "equation1": "x = y * ((x * z) * (z * z))", "equation2": "(x * x) * x = (y * y) * y", "answer": true} |
| {"id": "normal_0356", "index": 356, "difficulty": "normal", "eq1_id": 4085, "eq2_id": 3973, "equation1": "x * x = ((y * x) * y) * z", "equation2": "x * y = (y * (z * x)) * z", "answer": false} |
| {"id": "normal_0357", "index": 357, "difficulty": "normal", "eq1_id": 3761, "eq2_id": 1927, "equation1": "x * y = (y * y) * (y * x)", "equation2": "x = (y * (y * x)) * (z * x)", "answer": false} |
| {"id": "normal_0358", "index": 358, "difficulty": "normal", "eq1_id": 4147, "eq2_id": 4198, "equation1": "x * y = ((x * z) * z) * z", "equation2": "x * y = ((z * x) * y) * w", "answer": false} |
| {"id": "normal_0359", "index": 359, "difficulty": "normal", "eq1_id": 584, "eq2_id": 3851, "equation1": "x = y * (z * (z * (w * y)))", "equation2": "x * y = (z * w) * (w * x)", "answer": true} |
| {"id": "normal_0360", "index": 360, "difficulty": "normal", "eq1_id": 2925, "eq2_id": 3930, "equation1": "x = ((y * (x * z)) * y) * z", "equation2": "x * y = (x * (y * z)) * x", "answer": false} |
| {"id": "normal_0361", "index": 361, "difficulty": "normal", "eq1_id": 2428, "eq2_id": 67, "equation1": "x = (y * (z * (w * z))) * w", "equation2": "x = y * (x * (y * z))", "answer": true} |
| {"id": "normal_0362", "index": 362, "difficulty": "normal", "eq1_id": 409, "eq2_id": 4659, "equation1": "x * y = (z * w) * w", "equation2": "(x * y) * y = (y * x) * z", "answer": true} |
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| {"id": "normal_0364", "index": 364, "difficulty": "normal", "eq1_id": 2087, "eq2_id": 1340, "equation1": "x = ((y * x) * x) * (x * x)", "equation2": "x = y * (((y * z) * z) * x)", "answer": false} |
| {"id": "normal_0365", "index": 365, "difficulty": "normal", "eq1_id": 1351, "eq2_id": 2461, "equation1": "x = y * (((z * x) * x) * z)", "equation2": "x = (x * ((y * x) * y)) * z", "answer": true} |
| {"id": "normal_0366", "index": 366, "difficulty": "normal", "eq1_id": 1919, "eq2_id": 4233, "equation1": "x = (y * (x * z)) * (w * w)", "equation2": "x * y = ((z * z) * z) * x", "answer": true} |
| {"id": "normal_0367", "index": 367, "difficulty": "normal", "eq1_id": 2280, "eq2_id": 4506, "equation1": "x = (x * (y * (z * y))) * w", "equation2": "x * (y * z) = (x * x) * x", "answer": false} |
| {"id": "normal_0368", "index": 368, "difficulty": "normal", "eq1_id": 583, "eq2_id": 3201, "equation1": "x = y * (z * (z * (w * x)))", "equation2": "x = (((y * z) * y) * z) * x", "answer": false} |
| {"id": "normal_0369", "index": 369, "difficulty": "normal", "eq1_id": 250, "eq2_id": 2454, "equation1": "x = (y * (z * w)) * x", "equation2": "x = (x * ((x * y) * z)) * z", "answer": false} |
| {"id": "normal_0370", "index": 370, "difficulty": "normal", "eq1_id": 1937, "eq2_id": 393, "equation1": "x = (y * (y * y)) * (z * x)", "equation2": "x * y = (y * z) * w", "answer": false} |
| {"id": "normal_0371", "index": 371, "difficulty": "normal", "eq1_id": 4685, "eq2_id": 1344, "equation1": "(x * y) * z = (z * y) * w", "equation2": "x = y * (((y * z) * w) * x)", "answer": false} |
| {"id": "normal_0372", "index": 372, "difficulty": "normal", "eq1_id": 569, "eq2_id": 3963, "equation1": "x = y * (z * (y * (w * w)))", "equation2": "x * y = (y * (y * x)) * z", "answer": true} |
| {"id": "normal_0373", "index": 373, "difficulty": "normal", "eq1_id": 1269, "eq2_id": 4110, "equation1": "x = x * (((y * z) * z) * w)", "equation2": "x * x = ((y * z) * z) * z", "answer": false} |
| {"id": "normal_0374", "index": 374, "difficulty": "normal", "eq1_id": 441, "eq2_id": 489, "equation1": "x = x * (y * (y * (y * z)))", "equation2": "x = y * (x * (z * (y * z)))", "answer": false} |
| {"id": "normal_0375", "index": 375, "difficulty": "normal", "eq1_id": 4007, "eq2_id": 1272, "equation1": "x * y = (z * (y * x)) * z", "equation2": "x = x * (((y * z) * w) * z)", "answer": false} |
| {"id": "normal_0376", "index": 376, "difficulty": "normal", "eq1_id": 1126, "eq2_id": 3061, "equation1": "x = y * ((y * (y * z)) * y)", "equation2": "x = (((x * x) * y) * z) * x", "answer": true} |
| {"id": "normal_0377", "index": 377, "difficulty": "normal", "eq1_id": 2093, "eq2_id": 1848, "equation1": "x = ((y * x) * x) * (z * x)", "equation2": "x = (x * (y * x)) * (x * y)", "answer": false} |
| {"id": "normal_0378", "index": 378, "difficulty": "normal", "eq1_id": 1129, "eq2_id": 1039, "equation1": "x = y * ((y * (z * x)) * x)", "equation2": "x = x * ((y * (x * y)) * y)", "answer": false} |
| {"id": "normal_0379", "index": 379, "difficulty": "normal", "eq1_id": 4368, "eq2_id": 4356, "equation1": "x * (y * z) = y * (w * u)", "equation2": "x * (y * y) = z * (w * u)", "answer": true} |
| {"id": "normal_0380", "index": 380, "difficulty": "normal", "eq1_id": 1877, "eq2_id": 4309, "equation1": "x = (x * (y * z)) * (z * z)", "equation2": "x * (x * y) = z * (w * x)", "answer": false} |
| {"id": "normal_0381", "index": 381, "difficulty": "normal", "eq1_id": 2530, "eq2_id": 2588, "equation1": "x = (y * ((y * x) * x)) * x", "equation2": "x = (y * ((z * y) * y)) * x", "answer": false} |
| {"id": "normal_0382", "index": 382, "difficulty": "normal", "eq1_id": 1605, "eq2_id": 1896, "equation1": "x = (y * z) * (w * (x * z))", "equation2": "x = (y * (x * y)) * (x * z)", "answer": true} |
| {"id": "normal_0383", "index": 383, "difficulty": "normal", "eq1_id": 284, "eq2_id": 2568, "equation1": "x = ((y * y) * y) * y", "equation2": "x = (y * ((z * x) * x)) * y", "answer": true} |
| {"id": "normal_0384", "index": 384, "difficulty": "normal", "eq1_id": 498, "eq2_id": 2497, "equation1": "x = y * (x * (z * (w * w)))", "equation2": "x = (y * ((x * x) * y)) * y", "answer": true} |
| {"id": "normal_0385", "index": 385, "difficulty": "normal", "eq1_id": 1509, "eq2_id": 983, "equation1": "x = (y * x) * (z * (z * w))", "equation2": "x = y * ((z * z) * (y * z))", "answer": true} |
| {"id": "normal_0386", "index": 386, "difficulty": "normal", "eq1_id": 632, "eq2_id": 1215, "equation1": "x = x * (y * ((x * y) * x))", "equation2": "x = y * ((z * (w * w)) * w)", "answer": false} |
| {"id": "normal_0387", "index": 387, "difficulty": "normal", "eq1_id": 1798, "eq2_id": 1107, "equation1": "x = (y * z) * ((z * z) * y)", "equation2": "x = y * ((x * (z * w)) * w)", "answer": true} |
| {"id": "normal_0388", "index": 388, "difficulty": "normal", "eq1_id": 50, "eq2_id": 3177, "equation1": "x = x * (x * (y * y))", "equation2": "x = (((y * z) * x) * x) * y", "answer": false} |
| {"id": "normal_0389", "index": 389, "difficulty": "normal", "eq1_id": 4079, "eq2_id": 3021, "equation1": "x * x = ((x * y) * z) * w", "equation2": "x = ((y * (z * z)) * w) * z", "answer": false} |
| {"id": "normal_0390", "index": 390, "difficulty": "normal", "eq1_id": 700, "eq2_id": 273, "equation1": "x = y * (x * ((z * w) * z))", "equation2": "x = ((y * x) * y) * x", "answer": true} |
| {"id": "normal_0391", "index": 391, "difficulty": "normal", "eq1_id": 595, "eq2_id": 264, "equation1": "x = y * (z * (w * (y * z)))", "equation2": "x = ((x * y) * y) * y", "answer": true} |
| {"id": "normal_0392", "index": 392, "difficulty": "normal", "eq1_id": 1182, "eq2_id": 4431, "equation1": "x = y * ((z * (z * x)) * z)", "equation2": "x * (x * y) = (z * w) * u", "answer": true} |
| {"id": "normal_0393", "index": 393, "difficulty": "normal", "eq1_id": 4126, "eq2_id": 4545, "equation1": "x * y = ((x * x) * z) * w", "equation2": "x * (y * z) = (z * y) * y", "answer": false} |
| {"id": "normal_0394", "index": 394, "difficulty": "normal", "eq1_id": 494, "eq2_id": 4055, "equation1": "x = y * (x * (z * (z * w)))", "equation2": "x * y = (z * (w * w)) * y", "answer": true} |
| {"id": "normal_0395", "index": 395, "difficulty": "normal", "eq1_id": 1581, "eq2_id": 2832, "equation1": "x = (y * z) * (y * (w * x))", "equation2": "x = ((y * z) * (w * z)) * y", "answer": false} |
| {"id": "normal_0396", "index": 396, "difficulty": "normal", "eq1_id": 1123, "eq2_id": 4479, "equation1": "x = y * ((y * (y * y)) * y)", "equation2": "x * (y * y) = (y * x) * x", "answer": true} |
| {"id": "normal_0397", "index": 397, "difficulty": "normal", "eq1_id": 2642, "eq2_id": 695, "equation1": "x = (y * ((z * w) * u)) * u", "equation2": "x = y * (x * ((z * z) * y))", "answer": true} |
| {"id": "normal_0398", "index": 398, "difficulty": "normal", "eq1_id": 1819, "eq2_id": 644, "equation1": "x = (y * z) * ((w * z) * w)", "equation2": "x = x * (y * ((y * y) * z))", "answer": true} |
| {"id": "normal_0399", "index": 399, "difficulty": "normal", "eq1_id": 3486, "eq2_id": 1148, "equation1": "x * x = y * ((y * y) * z)", "equation2": "x = y * ((z * (x * x)) * z)", "answer": false} |
| {"id": "normal_0400", "index": 400, "difficulty": "normal", "eq1_id": 591, "eq2_id": 4398, "equation1": "x = y * (z * (w * (x * w)))", "equation2": "x * (x * y) = (x * y) * x", "answer": true} |
| {"id": "normal_0401", "index": 401, "difficulty": "normal", "eq1_id": 2516, "eq2_id": 3360, "equation1": "x = (y * ((x * z) * x)) * w", "equation2": "x * y = y * (y * (z * z))", "answer": true} |
| {"id": "normal_0402", "index": 402, "difficulty": "normal", "eq1_id": 1988, "eq2_id": 2572, "equation1": "x = (y * (z * y)) * (w * y)", "equation2": "x = (y * ((z * x) * y)) * y", "answer": true} |
| {"id": "normal_0403", "index": 403, "difficulty": "normal", "eq1_id": 833, "eq2_id": 2994, "equation1": "x = x * ((y * x) * (x * y))", "equation2": "x = ((y * (z * y)) * y) * x", "answer": false} |
| {"id": "normal_0404", "index": 404, "difficulty": "normal", "eq1_id": 1499, "eq2_id": 3250, "equation1": "x = (y * x) * (z * (x * y))", "equation2": "x = (((y * z) * w) * u) * w", "answer": true} |
| {"id": "normal_0405", "index": 405, "difficulty": "normal", "eq1_id": 2517, "eq2_id": 4341, "equation1": "x = (y * ((x * z) * y)) * x", "equation2": "x * (y * y) = x * (z * z)", "answer": false} |
| {"id": "normal_0406", "index": 406, "difficulty": "normal", "eq1_id": 89, "eq2_id": 2931, "equation1": "x = y * (z * (y * w))", "equation2": "x = ((y * (x * z)) * w) * x", "answer": true} |
| {"id": "normal_0407", "index": 407, "difficulty": "normal", "eq1_id": 2817, "eq2_id": 376, "equation1": "x = ((y * z) * (z * w)) * y", "equation2": "x * y = (x * x) * z", "answer": true} |
| {"id": "normal_0408", "index": 408, "difficulty": "normal", "eq1_id": 3150, "eq2_id": 2030, "equation1": "x = (((y * y) * y) * x) * y", "equation2": "x = (y * (z * w)) * (u * y)", "answer": false} |
| {"id": "normal_0409", "index": 409, "difficulty": "normal", "eq1_id": 2470, "eq2_id": 1783, "equation1": "x = (x * ((y * y) * y)) * y", "equation2": "x = (y * z) * ((y * z) * w)", "answer": false} |
| {"id": "normal_0410", "index": 410, "difficulty": "normal", "eq1_id": 2335, "eq2_id": 3307, "equation1": "x = (y * (y * (x * z))) * z", "equation2": "x * y = x * (x * (x * z))", "answer": false} |
| {"id": "normal_0411", "index": 411, "difficulty": "normal", "eq1_id": 2090, "eq2_id": 1452, "equation1": "x = ((y * x) * x) * (y * x)", "equation2": "x = (x * y) * (y * (x * y))", "answer": false} |
| {"id": "normal_0412", "index": 412, "difficulty": "normal", "eq1_id": 4160, "eq2_id": 3595, "equation1": "x * y = ((y * x) * z) * x", "equation2": "x * y = z * ((x * w) * y)", "answer": true} |
| {"id": "normal_0413", "index": 413, "difficulty": "normal", "eq1_id": 2397, "eq2_id": 1212, "equation1": "x = (y * (z * (y * w))) * u", "equation2": "x = y * ((z * (w * w)) * x)", "answer": true} |
| {"id": "normal_0414", "index": 414, "difficulty": "normal", "eq1_id": 1433, "eq2_id": 1859, "equation1": "x = (x * x) * (y * (x * z))", "equation2": "x = (x * (y * y)) * (x * z)", "answer": true} |
| {"id": "normal_0415", "index": 415, "difficulty": "normal", "eq1_id": 124, "eq2_id": 4658, "equation1": "x = y * ((y * x) * x)", "equation2": "(x * y) * y = (y * x) * x", "answer": false} |
| {"id": "normal_0416", "index": 416, "difficulty": "normal", "eq1_id": 1988, "eq2_id": 46, "equation1": "x = (y * (z * y)) * (w * y)", "equation2": "x * y = z * w", "answer": true} |
| {"id": "normal_0417", "index": 417, "difficulty": "normal", "eq1_id": 3819, "eq2_id": 3033, "equation1": "x * y = (z * z) * (x * x)", "equation2": "x = ((y * (z * w)) * y) * u", "answer": false} |
| {"id": "normal_0418", "index": 418, "difficulty": "normal", "eq1_id": 306, "eq2_id": 3989, "equation1": "x = ((y * z) * w) * u", "equation2": "x * y = (z * (x * x)) * y", "answer": true} |
| {"id": "normal_0419", "index": 419, "difficulty": "normal", "eq1_id": 150, "eq2_id": 3945, "equation1": "x = y * ((z * w) * u)", "equation2": "x * y = (x * (z * z)) * w", "answer": true} |
| {"id": "normal_0420", "index": 420, "difficulty": "normal", "eq1_id": 2156, "eq2_id": 3797, "equation1": "x = ((y * y) * z) * (w * x)", "equation2": "x * y = (z * x) * (w * x)", "answer": false} |
| {"id": "normal_0421", "index": 421, "difficulty": "normal", "eq1_id": 2229, "eq2_id": 1098, "equation1": "x = ((y * z) * w) * (w * z)", "equation2": "x = y * ((x * (z * y)) * z)", "answer": true} |
| {"id": "normal_0422", "index": 422, "difficulty": "normal", "eq1_id": 2170, "eq2_id": 4640, "equation1": "x = ((y * z) * x) * (z * y)", "equation2": "(x * y) * x = (y * z) * z", "answer": true} |
| {"id": "normal_0423", "index": 423, "difficulty": "normal", "eq1_id": 667, "eq2_id": 675, "equation1": "x = y * (x * ((x * x) * y))", "equation2": "x = y * (x * ((x * z) * w))", "answer": false} |
| {"id": "normal_0424", "index": 424, "difficulty": "normal", "eq1_id": 4396, "eq2_id": 1441, "equation1": "x * (x * y) = (x * x) * y", "equation2": "x = (x * y) * (x * (x * x))", "answer": false} |
| {"id": "normal_0425", "index": 425, "difficulty": "normal", "eq1_id": 4527, "eq2_id": 2590, "equation1": "x * (y * z) = (y * y) * x", "equation2": "x = (y * ((z * y) * y)) * z", "answer": false} |
| {"id": "normal_0426", "index": 426, "difficulty": "normal", "eq1_id": 1372, "eq2_id": 4543, "equation1": "x = y * (((z * y) * y) * z)", "equation2": "x * (y * z) = (z * x) * w", "answer": true} |
| {"id": "normal_0427", "index": 427, "difficulty": "normal", "eq1_id": 3922, "eq2_id": 816, "equation1": "x * y = (x * (x * z)) * z", "equation2": "x = y * (z * ((w * u) * v))", "answer": false} |
| {"id": "normal_0428", "index": 428, "difficulty": "normal", "eq1_id": 721, "eq2_id": 796, "equation1": "x = y * (y * ((y * z) * z))", "equation2": "x = y * (z * ((w * y) * x))", "answer": true} |
| {"id": "normal_0429", "index": 429, "difficulty": "normal", "eq1_id": 4359, "eq2_id": 1125, "equation1": "x * (y * z) = x * (z * w)", "equation2": "x = y * ((y * (y * z)) * x)", "answer": false} |
| {"id": "normal_0430", "index": 430, "difficulty": "normal", "eq1_id": 1511, "eq2_id": 270, "equation1": "x = (y * x) * (z * (w * y))", "equation2": "x = ((y * x) * x) * x", "answer": true} |
| {"id": "normal_0431", "index": 431, "difficulty": "normal", "eq1_id": 3122, "eq2_id": 2580, "equation1": "x = (((y * x) * z) * x) * x", "equation2": "x = (y * ((z * x) * w)) * y", "answer": false} |
| {"id": "normal_0432", "index": 432, "difficulty": "normal", "eq1_id": 2669, "eq2_id": 2113, "equation1": "x = ((x * y) * (y * x)) * x", "equation2": "x = ((y * x) * z) * (y * z)", "answer": false} |
| {"id": "normal_0433", "index": 433, "difficulty": "normal", "eq1_id": 4219, "eq2_id": 3771, "equation1": "x * y = ((z * y) * z) * w", "equation2": "x * y = (y * z) * (x * w)", "answer": true} |
| {"id": "normal_0434", "index": 434, "difficulty": "normal", "eq1_id": 1731, "eq2_id": 4245, "equation1": "x = (y * y) * ((y * y) * x)", "equation2": "x * y = ((z * w) * x) * w", "answer": false} |
| {"id": "normal_0435", "index": 435, "difficulty": "normal", "eq1_id": 1966, "eq2_id": 440, "equation1": "x = (y * (z * x)) * (z * x)", "equation2": "x = x * (y * (y * (y * y)))", "answer": false} |
| {"id": "normal_0436", "index": 436, "difficulty": "normal", "eq1_id": 2221, "eq2_id": 883, "equation1": "x = ((y * z) * w) * (y * u)", "equation2": "x = y * ((x * y) * (y * y))", "answer": true} |
| {"id": "normal_0437", "index": 437, "difficulty": "normal", "eq1_id": 4402, "eq2_id": 2523, "equation1": "x * (x * y) = (x * z) * y", "equation2": "x = (y * ((x * z) * z)) * z", "answer": false} |
| {"id": "normal_0438", "index": 438, "difficulty": "normal", "eq1_id": 202, "eq2_id": 2058, "equation1": "x = (y * z) * (w * u)", "equation2": "x = ((x * y) * x) * (z * z)", "answer": true} |
| {"id": "normal_0439", "index": 439, "difficulty": "normal", "eq1_id": 3751, "eq2_id": 1515, "equation1": "x * y = (y * x) * (y * x)", "equation2": "x = (y * y) * (x * (x * x))", "answer": false} |
| {"id": "normal_0440", "index": 440, "difficulty": "normal", "eq1_id": 321, "eq2_id": 3903, "equation1": "x * x = y * (z * w)", "equation2": "x * x = (y * (z * y)) * z", "answer": false} |
| {"id": "normal_0441", "index": 441, "difficulty": "normal", "eq1_id": 2389, "eq2_id": 2004, "equation1": "x = (y * (z * (y * z))) * x", "equation2": "x = (y * (z * z)) * (w * x)", "answer": false} |
| {"id": "normal_0442", "index": 442, "difficulty": "normal", "eq1_id": 4220, "eq2_id": 922, "equation1": "x * y = ((z * y) * w) * x", "equation2": "x = y * ((y * y) * (z * x))", "answer": false} |
| {"id": "normal_0443", "index": 443, "difficulty": "normal", "eq1_id": 4123, "eq2_id": 1771, "equation1": "x * y = ((x * x) * z) * x", "equation2": "x = (y * z) * ((x * w) * u)", "answer": false} |
| {"id": "normal_0444", "index": 444, "difficulty": "normal", "eq1_id": 1461, "eq2_id": 4504, "equation1": "x = (x * y) * (z * (x * x))", "equation2": "x * (y * y) = (z * w) * w", "answer": false} |
| {"id": "normal_0445", "index": 445, "difficulty": "normal", "eq1_id": 2587, "eq2_id": 1135, "equation1": "x = (y * ((z * y) * x)) * w", "equation2": "x = y * ((y * (z * y)) * z)", "answer": true} |
| {"id": "normal_0446", "index": 446, "difficulty": "normal", "eq1_id": 127, "eq2_id": 2724, "equation1": "x = y * ((y * y) * x)", "equation2": "x = ((y * x) * (z * z)) * x", "answer": false} |
| {"id": "normal_0447", "index": 447, "difficulty": "normal", "eq1_id": 181, "eq2_id": 886, "equation1": "x = (y * y) * (y * z)", "equation2": "x = y * ((x * y) * (z * y))", "answer": true} |
| {"id": "normal_0448", "index": 448, "difficulty": "normal", "eq1_id": 184, "eq2_id": 4197, "equation1": "x = (y * y) * (z * z)", "equation2": "x * y = ((z * x) * y) * z", "answer": true} |
| {"id": "normal_0449", "index": 449, "difficulty": "normal", "eq1_id": 900, "eq2_id": 2962, "equation1": "x = y * ((x * z) * (z * w))", "equation2": "x = ((y * (y * z)) * y) * z", "answer": true} |
| {"id": "normal_0450", "index": 450, "difficulty": "normal", "eq1_id": 4386, "eq2_id": 2355, "equation1": "x * (x * x) = (y * x) * y", "equation2": "x = (y * (y * (z * z))) * x", "answer": false} |
| {"id": "normal_0451", "index": 451, "difficulty": "normal", "eq1_id": 975, "eq2_id": 407, "equation1": "x = y * ((z * y) * (w * w))", "equation2": "x * y = (z * w) * y", "answer": true} |
| {"id": "normal_0452", "index": 452, "difficulty": "normal", "eq1_id": 1804, "eq2_id": 2268, "equation1": "x = (y * z) * ((z * w) * w)", "equation2": "x = (x * (y * (y * y))) * z", "answer": true} |
| {"id": "normal_0453", "index": 453, "difficulty": "normal", "eq1_id": 2124, "eq2_id": 4675, "equation1": "x = ((y * y) * x) * (x * x)", "equation2": "(x * y) * z = (x * w) * z", "answer": false} |
| {"id": "normal_0454", "index": 454, "difficulty": "normal", "eq1_id": 3950, "eq2_id": 855, "equation1": "x * y = (x * (z * w)) * u", "equation2": "x = x * ((y * z) * (x * w))", "answer": false} |
| {"id": "normal_0455", "index": 455, "difficulty": "normal", "eq1_id": 804, "eq2_id": 2653, "equation1": "x = y * (z * ((w * z) * w))", "equation2": "x = ((x * x) * (y * y)) * y", "answer": true} |
| {"id": "normal_0456", "index": 456, "difficulty": "normal", "eq1_id": 1233, "eq2_id": 552, "equation1": "x = x * (((x * y) * y) * z)", "equation2": "x = y * (z * (x * (w * w)))", "answer": false} |
| {"id": "normal_0457", "index": 457, "difficulty": "normal", "eq1_id": 3205, "eq2_id": 571, "equation1": "x = (((y * z) * y) * w) * x", "equation2": "x = y * (z * (z * (x * x)))", "answer": true} |
| {"id": "normal_0458", "index": 458, "difficulty": "normal", "eq1_id": 2779, "eq2_id": 4046, "equation1": "x = ((y * z) * (x * z)) * y", "equation2": "x * y = (z * (w * y)) * z", "answer": false} |
| {"id": "normal_0459", "index": 459, "difficulty": "normal", "eq1_id": 3568, "eq2_id": 1391, "equation1": "x * y = y * ((z * x) * w)", "equation2": "x = y * (((z * z) * z) * x)", "answer": false} |
| {"id": "normal_0460", "index": 460, "difficulty": "normal", "eq1_id": 3126, "eq2_id": 3962, "equation1": "x = (((y * x) * z) * y) * x", "equation2": "x * y = (y * (y * x)) * y", "answer": true} |
| {"id": "normal_0461", "index": 461, "difficulty": "normal", "eq1_id": 2569, "eq2_id": 866, "equation1": "x = (y * ((z * x) * x)) * z", "equation2": "x = x * ((y * z) * (w * z))", "answer": true} |
| {"id": "normal_0462", "index": 462, "difficulty": "normal", "eq1_id": 4429, "eq2_id": 3367, "equation1": "x * (x * y) = (z * w) * z", "equation2": "x * y = y * (z * (y * y))", "answer": false} |
| {"id": "normal_0463", "index": 463, "difficulty": "normal", "eq1_id": 2988, "eq2_id": 1416, "equation1": "x = ((y * (z * x)) * w) * w", "equation2": "x = y * (((z * w) * w) * y)", "answer": true} |
| {"id": "normal_0464", "index": 464, "difficulty": "normal", "eq1_id": 3037, "eq2_id": 4275, "equation1": "x = ((y * (z * w)) * z) * w", "equation2": "x * (x * x) = y * (y * x)", "answer": true} |
| {"id": "normal_0465", "index": 465, "difficulty": "normal", "eq1_id": 794, "eq2_id": 1626, "equation1": "x = y * (z * ((w * x) * w))", "equation2": "x = (y * z) * (w * (u * w))", "answer": true} |
| {"id": "normal_0466", "index": 466, "difficulty": "normal", "eq1_id": 6, "eq2_id": 3708, "equation1": "x = y * y", "equation2": "x * x = (y * z) * (w * z)", "answer": true} |
| {"id": "normal_0467", "index": 467, "difficulty": "normal", "eq1_id": 373, "eq2_id": 3823, "equation1": "x * x = (y * z) * w", "equation2": "x * y = (z * z) * (y * x)", "answer": false} |
| {"id": "normal_0468", "index": 468, "difficulty": "normal", "eq1_id": 4181, "eq2_id": 457, "equation1": "x * y = ((y * z) * y) * w", "equation2": "x = x * (y * (z * (z * w)))", "answer": false} |
| {"id": "normal_0469", "index": 469, "difficulty": "normal", "eq1_id": 695, "eq2_id": 4314, "equation1": "x = y * (x * ((z * z) * y))", "equation2": "x * (y * x) = x * (y * y)", "answer": false} |
| {"id": "normal_0470", "index": 470, "difficulty": "normal", "eq1_id": 2016, "eq2_id": 210, "equation1": "x = (y * (z * w)) * (y * z)", "equation2": "x = (x * (y * x)) * z", "answer": true} |
| {"id": "normal_0471", "index": 471, "difficulty": "normal", "eq1_id": 2215, "eq2_id": 443, "equation1": "x = ((y * z) * w) * (x * w)", "equation2": "x = x * (y * (y * (z * y)))", "answer": true} |
| {"id": "normal_0472", "index": 472, "difficulty": "normal", "eq1_id": 3090, "eq2_id": 1980, "equation1": "x = (((x * y) * z) * y) * y", "equation2": "x = (y * (z * y)) * (y * y)", "answer": false} |
| {"id": "normal_0473", "index": 473, "difficulty": "normal", "eq1_id": 4334, "eq2_id": 494, "equation1": "x * (y * x) = z * (w * x)", "equation2": "x = y * (x * (z * (z * w)))", "answer": false} |
| {"id": "normal_0474", "index": 474, "difficulty": "normal", "eq1_id": 291, "eq2_id": 1480, "equation1": "x = ((y * z) * x) * y", "equation2": "x = (y * x) * (x * (x * z))", "answer": true} |
| {"id": "normal_0475", "index": 475, "difficulty": "normal", "eq1_id": 1511, "eq2_id": 433, "equation1": "x = (y * x) * (z * (w * y))", "equation2": "x = x * (y * (x * (z * y)))", "answer": true} |
| {"id": "normal_0476", "index": 476, "difficulty": "normal", "eq1_id": 1739, "eq2_id": 3888, "equation1": "x = (y * y) * ((z * x) * y)", "equation2": "x * x = (y * (y * x)) * y", "answer": true} |
| {"id": "normal_0477", "index": 477, "difficulty": "normal", "eq1_id": 1347, "eq2_id": 965, "equation1": "x = y * (((y * z) * w) * w)", "equation2": "x = y * ((z * y) * (y * y))", "answer": true} |
| {"id": "normal_0478", "index": 478, "difficulty": "normal", "eq1_id": 1049, "eq2_id": 2163, "equation1": "x = x * ((y * (y * y)) * y)", "equation2": "x = ((y * z) * x) * (x * z)", "answer": false} |
| {"id": "normal_0479", "index": 479, "difficulty": "normal", "eq1_id": 3968, "eq2_id": 2726, "equation1": "x * y = (y * (y * z)) * y", "equation2": "x = ((y * x) * (z * z)) * z", "answer": false} |
| {"id": "normal_0480", "index": 480, "difficulty": "normal", "eq1_id": 884, "eq2_id": 3695, "equation1": "x = y * ((x * y) * (y * z))", "equation2": "x * x = (y * z) * (x * y)", "answer": true} |
| {"id": "normal_0481", "index": 481, "difficulty": "normal", "eq1_id": 3417, "eq2_id": 2327, "equation1": "x * y = z * (z * (y * x))", "equation2": "x = (y * (y * (x * x))) * x", "answer": false} |
| {"id": "normal_0482", "index": 482, "difficulty": "normal", "eq1_id": 3458, "eq2_id": 4573, "equation1": "x * x = x * ((x * y) * x)", "equation2": "x * (y * z) = (w * w) * y", "answer": false} |
| {"id": "normal_0483", "index": 483, "difficulty": "normal", "eq1_id": 1527, "eq2_id": 356, "equation1": "x = (y * y) * (y * (x * z))", "equation2": "x * y = z * (w * z)", "answer": true} |
| {"id": "normal_0484", "index": 484, "difficulty": "normal", "eq1_id": 2788, "eq2_id": 3030, "equation1": "x = ((y * z) * (y * x)) * y", "equation2": "x = ((y * (z * w)) * y) * y", "answer": true} |
| {"id": "normal_0485", "index": 485, "difficulty": "normal", "eq1_id": 20, "eq2_id": 3322, "equation1": "x = y * (z * y)", "equation2": "x * y = x * (y * (z * y))", "answer": true} |
| {"id": "normal_0486", "index": 486, "difficulty": "normal", "eq1_id": 2762, "eq2_id": 4044, "equation1": "x = ((y * y) * (z * z)) * y", "equation2": "x * y = (z * (w * y)) * x", "answer": true} |
| {"id": "normal_0487", "index": 487, "difficulty": "normal", "eq1_id": 4549, "eq2_id": 1533, "equation1": "x * (y * z) = (z * z) * y", "equation2": "x = (y * y) * (y * (z * z))", "answer": false} |
| {"id": "normal_0488", "index": 488, "difficulty": "normal", "eq1_id": 3217, "eq2_id": 2462, "equation1": "x = (((y * z) * z) * y) * w", "equation2": "x = (x * ((y * x) * z)) * x", "answer": true} |
| {"id": "normal_0489", "index": 489, "difficulty": "normal", "eq1_id": 2815, "eq2_id": 2093, "equation1": "x = ((y * z) * (z * z)) * w", "equation2": "x = ((y * x) * x) * (z * x)", "answer": true} |
| {"id": "normal_0490", "index": 490, "difficulty": "normal", "eq1_id": 3341, "eq2_id": 9, "equation1": "x * y = x * (z * (w * u))", "equation2": "x = x * (x * y)", "answer": false} |
| {"id": "normal_0491", "index": 491, "difficulty": "normal", "eq1_id": 1688, "eq2_id": 3100, "equation1": "x = (y * x) * ((x * z) * y)", "equation2": "x = (((x * y) * z) * w) * w", "answer": true} |
| {"id": "normal_0492", "index": 492, "difficulty": "normal", "eq1_id": 691, "eq2_id": 2038, "equation1": "x = y * (x * ((z * y) * y))", "equation2": "x = ((x * x) * x) * (y * y)", "answer": true} |
| {"id": "normal_0493", "index": 493, "difficulty": "normal", "eq1_id": 955, "eq2_id": 476, "equation1": "x = y * ((z * x) * (w * x))", "equation2": "x = y * (x * (y * (y * x)))", "answer": false} |
| {"id": "normal_0494", "index": 494, "difficulty": "normal", "eq1_id": 2423, "eq2_id": 3407, "equation1": "x = (y * (z * (w * y))) * w", "equation2": "x * y = z * (y * (z * w))", "answer": true} |
| {"id": "normal_0495", "index": 495, "difficulty": "normal", "eq1_id": 587, "eq2_id": 1676, "equation1": "x = y * (z * (z * (w * u)))", "equation2": "x = (x * y) * ((z * w) * x)", "answer": true} |
| {"id": "normal_0496", "index": 496, "difficulty": "normal", "eq1_id": 3248, "eq2_id": 4003, "equation1": "x = (((y * z) * w) * u) * y", "equation2": "x * y = (z * (x * w)) * w", "answer": true} |
| {"id": "normal_0497", "index": 497, "difficulty": "normal", "eq1_id": 3499, "eq2_id": 4224, "equation1": "x * x = y * ((z * z) * x)", "equation2": "x * y = ((z * y) * w) * u", "answer": false} |
| {"id": "normal_0498", "index": 498, "difficulty": "normal", "eq1_id": 3091, "eq2_id": 663, "equation1": "x = (((x * y) * z) * y) * z", "equation2": "x = x * (y * ((z * w) * z))", "answer": false} |
| {"id": "normal_0499", "index": 499, "difficulty": "normal", "eq1_id": 3089, "eq2_id": 2207, "equation1": "x = (((x * y) * z) * y) * x", "equation2": "x = ((y * z) * z) * (w * x)", "answer": false} |
| {"id": "normal_0500", "index": 500, "difficulty": "normal", "eq1_id": 2215, "eq2_id": 3622, "equation1": "x = ((y * z) * w) * (x * w)", "equation2": "x * y = z * ((z * y) * z)", "answer": true} |
| {"id": "normal_0501", "index": 501, "difficulty": "normal", "eq1_id": 2368, "eq2_id": 745, "equation1": "x = (y * (z * (x * y))) * x", "equation2": "x = y * (z * ((x * y) * y))", "answer": false} |
| {"id": "normal_0502", "index": 502, "difficulty": "normal", "eq1_id": 249, "eq2_id": 2801, "equation1": "x = (y * (z * z)) * w", "equation2": "x = ((y * z) * (y * w)) * z", "answer": true} |
| {"id": "normal_0503", "index": 503, "difficulty": "normal", "eq1_id": 2517, "eq2_id": 2861, "equation1": "x = (y * ((x * z) * y)) * x", "equation2": "x = ((x * (x * y)) * z) * w", "answer": false} |
| {"id": "normal_0504", "index": 504, "difficulty": "normal", "eq1_id": 3834, "eq2_id": 3864, "equation1": "x * y = (z * z) * (w * w)", "equation2": "x * x = (x * (x * y)) * x", "answer": true} |
| {"id": "normal_0505", "index": 505, "difficulty": "normal", "eq1_id": 520, "eq2_id": 88, "equation1": "x = y * (y * (z * (x * x)))", "equation2": "x = y * (z * (y * z))", "answer": false} |
| {"id": "normal_0506", "index": 506, "difficulty": "normal", "eq1_id": 972, "eq2_id": 2551, "equation1": "x = y * ((z * y) * (w * x))", "equation2": "x = (y * ((y * z) * x)) * y", "answer": false} |
| {"id": "normal_0507", "index": 507, "difficulty": "normal", "eq1_id": 4211, "eq2_id": 4242, "equation1": "x * y = ((z * y) * x) * w", "equation2": "x * y = ((z * w) * x) * x", "answer": true} |
| {"id": "normal_0508", "index": 508, "difficulty": "normal", "eq1_id": 3204, "eq2_id": 3132, "equation1": "x = (((y * z) * y) * z) * w", "equation2": "x = (((y * x) * z) * z) * z", "answer": true} |
| {"id": "normal_0509", "index": 509, "difficulty": "normal", "eq1_id": 3182, "eq2_id": 4278, "equation1": "x = (((y * z) * x) * y) * z", "equation2": "x * (x * x) = y * (z * x)", "answer": false} |
| {"id": "normal_0510", "index": 510, "difficulty": "normal", "eq1_id": 1936, "eq2_id": 2218, "equation1": "x = (y * (y * y)) * (y * z)", "equation2": "x = ((y * z) * w) * (y * y)", "answer": true} |
| {"id": "normal_0511", "index": 511, "difficulty": "normal", "eq1_id": 3251, "eq2_id": 2230, "equation1": "x = (((y * z) * w) * u) * u", "equation2": "x = ((y * z) * w) * (w * w)", "answer": true} |
| {"id": "normal_0512", "index": 512, "difficulty": "normal", "eq1_id": 4419, "eq2_id": 4647, "equation1": "x * (x * y) = (z * y) * x", "equation2": "(x * y) * x = (z * y) * z", "answer": false} |
| {"id": "normal_0513", "index": 513, "difficulty": "normal", "eq1_id": 653, "eq2_id": 113, "equation1": "x = x * (y * ((z * y) * x))", "equation2": "x = x * ((y * z) * w)", "answer": false} |
| {"id": "normal_0514", "index": 514, "difficulty": "normal", "eq1_id": 3134, "eq2_id": 3951, "equation1": "x = (((y * x) * z) * w) * x", "equation2": "x * y = (y * (x * x)) * x", "answer": false} |
| {"id": "normal_0515", "index": 515, "difficulty": "normal", "eq1_id": 4613, "eq2_id": 3005, "equation1": "(x * x) * y = (y * z) * w", "equation2": "x = ((y * (z * y)) * w) * w", "answer": false} |
| {"id": "normal_0516", "index": 516, "difficulty": "normal", "eq1_id": 3175, "eq2_id": 4518, "equation1": "x = (((y * y) * z) * w) * u", "equation2": "x * (y * z) = (x * w) * x", "answer": true} |
| {"id": "normal_0517", "index": 517, "difficulty": "normal", "eq1_id": 1875, "eq2_id": 4522, "equation1": "x = (x * (y * z)) * (z * x)", "equation2": "x * (y * z) = (x * w) * u", "answer": false} |
| {"id": "normal_0518", "index": 518, "difficulty": "normal", "eq1_id": 1833, "eq2_id": 3562, "equation1": "x = (x * (x * x)) * (x * y)", "equation2": "x * y = y * ((y * z) * y)", "answer": false} |
| {"id": "normal_0519", "index": 519, "difficulty": "normal", "eq1_id": 3720, "eq2_id": 2085, "equation1": "x * y = (x * x) * (z * w)", "equation2": "x = ((x * y) * z) * (w * w)", "answer": false} |
| {"id": "normal_0520", "index": 520, "difficulty": "normal", "eq1_id": 2888, "eq2_id": 4070, "equation1": "x = ((x * (y * z)) * y) * z", "equation2": "x * x = ((x * y) * x) * x", "answer": false} |
| {"id": "normal_0521", "index": 521, "difficulty": "normal", "eq1_id": 1007, "eq2_id": 3294, "equation1": "x = y * ((z * w) * (z * w))", "equation2": "x * x = y * (z * (y * z))", "answer": true} |
| {"id": "normal_0522", "index": 522, "difficulty": "normal", "eq1_id": 1531, "eq2_id": 388, "equation1": "x = (y * y) * (y * (z * x))", "equation2": "x * y = (y * y) * y", "answer": true} |
| {"id": "normal_0523", "index": 523, "difficulty": "normal", "eq1_id": 1163, "eq2_id": 2659, "equation1": "x = y * ((z * (y * x)) * x)", "equation2": "x = ((x * y) * (x * x)) * x", "answer": false} |
| {"id": "normal_0524", "index": 524, "difficulty": "normal", "eq1_id": 4450, "eq2_id": 3089, "equation1": "x * (y * x) = (y * z) * z", "equation2": "x = (((x * y) * z) * y) * x", "answer": false} |
| {"id": "normal_0525", "index": 525, "difficulty": "normal", "eq1_id": 1731, "eq2_id": 2525, "equation1": "x = (y * y) * ((y * y) * x)", "equation2": "x = (y * ((x * z) * w)) * x", "answer": false} |
| {"id": "normal_0526", "index": 526, "difficulty": "normal", "eq1_id": 2151, "eq2_id": 1389, "equation1": "x = ((y * y) * z) * (y * w)", "equation2": "x = y * (((z * z) * y) * z)", "answer": true} |
| {"id": "normal_0527", "index": 527, "difficulty": "normal", "eq1_id": 2563, "eq2_id": 1718, "equation1": "x = (y * ((y * z) * w)) * y", "equation2": "x = (y * y) * ((x * x) * x)", "answer": true} |
| {"id": "normal_0528", "index": 528, "difficulty": "normal", "eq1_id": 4380, "eq2_id": 1692, "equation1": "x * (x * x) = (x * x) * x", "equation2": "x = (y * x) * ((y * x) * y)", "answer": false} |
| {"id": "normal_0529", "index": 529, "difficulty": "normal", "eq1_id": 541, "eq2_id": 1575, "equation1": "x = y * (z * (x * (y * x)))", "equation2": "x = (y * z) * (y * (y * z))", "answer": false} |
| {"id": "normal_0530", "index": 530, "difficulty": "normal", "eq1_id": 3970, "eq2_id": 3084, "equation1": "x * y = (y * (y * z)) * w", "equation2": "x = (((x * y) * y) * z) * w", "answer": false} |
| {"id": "normal_0531", "index": 531, "difficulty": "normal", "eq1_id": 4042, "eq2_id": 1508, "equation1": "x * y = (z * (w * x)) * w", "equation2": "x = (y * x) * (z * (z * z))", "answer": false} |
| {"id": "normal_0532", "index": 532, "difficulty": "normal", "eq1_id": 2831, "eq2_id": 746, "equation1": "x = ((y * z) * (w * z)) * x", "equation2": "x = y * (z * ((x * y) * z))", "answer": false} |
| {"id": "normal_0533", "index": 533, "difficulty": "normal", "eq1_id": 4327, "eq2_id": 3532, "equation1": "x * (y * x) = z * (x * x)", "equation2": "x * y = x * ((z * y) * x)", "answer": false} |
| {"id": "normal_0534", "index": 534, "difficulty": "normal", "eq1_id": 397, "eq2_id": 219, "equation1": "x * y = (z * x) * w", "equation2": "x = (y * (x * x)) * y", "answer": false} |
| {"id": "normal_0535", "index": 535, "difficulty": "normal", "eq1_id": 4168, "eq2_id": 270, "equation1": "x * y = ((y * y) * y) * y", "equation2": "x = ((y * x) * x) * x", "answer": false} |
| {"id": "normal_0536", "index": 536, "difficulty": "normal", "eq1_id": 3555, "eq2_id": 3644, "equation1": "x * y = y * ((y * x) * x)", "equation2": "x * y = z * ((w * z) * y)", "answer": false} |
| {"id": "normal_0537", "index": 537, "difficulty": "normal", "eq1_id": 459, "eq2_id": 4097, "equation1": "x = x * (y * (z * (w * y)))", "equation2": "x * x = ((y * y) * z) * y", "answer": false} |
| {"id": "normal_0538", "index": 538, "difficulty": "normal", "eq1_id": 2833, "eq2_id": 1461, "equation1": "x = ((y * z) * (w * z)) * z", "equation2": "x = (x * y) * (z * (x * x))", "answer": true} |
| {"id": "normal_0539", "index": 539, "difficulty": "normal", "eq1_id": 646, "eq2_id": 3835, "equation1": "x = x * (y * ((y * z) * y))", "equation2": "x * y = (z * z) * (w * u)", "answer": false} |
| {"id": "normal_0540", "index": 540, "difficulty": "normal", "eq1_id": 3907, "eq2_id": 3863, "equation1": "x * x = (y * (z * z)) * z", "equation2": "x * x = (x * (x * x)) * y", "answer": true} |
| {"id": "normal_0541", "index": 541, "difficulty": "normal", "eq1_id": 4208, "eq2_id": 1319, "equation1": "x * y = ((z * y) * x) * x", "equation2": "x = y * (((y * x) * z) * y)", "answer": false} |
| {"id": "normal_0542", "index": 542, "difficulty": "normal", "eq1_id": 3666, "eq2_id": 3675, "equation1": "x * x = (x * y) * (x * z)", "equation2": "x * x = (y * x) * (x * y)", "answer": false} |
| {"id": "normal_0543", "index": 543, "difficulty": "normal", "eq1_id": 4463, "eq2_id": 3766, "equation1": "x * (y * x) = (z * z) * w", "equation2": "x * y = (y * y) * (z * z)", "answer": false} |
| {"id": "normal_0544", "index": 544, "difficulty": "normal", "eq1_id": 611, "eq2_id": 3875, "equation1": "x = y * (z * (w * (u * w)))", "equation2": "x * x = (x * (y * z)) * z", "answer": true} |
| {"id": "normal_0545", "index": 545, "difficulty": "normal", "eq1_id": 3467, "eq2_id": 3674, "equation1": "x * x = x * ((y * z) * x)", "equation2": "x * x = (y * x) * (x * x)", "answer": false} |
| {"id": "normal_0546", "index": 546, "difficulty": "normal", "eq1_id": 387, "eq2_id": 630, "equation1": "x * y = (y * y) * x", "equation2": "x = x * (y * ((x * x) * y))", "answer": false} |
| {"id": "normal_0547", "index": 547, "difficulty": "normal", "eq1_id": 3790, "eq2_id": 93, "equation1": "x * y = (z * x) * (y * y)", "equation2": "x = y * (z * (z * w))", "answer": false} |
| {"id": "normal_0548", "index": 548, "difficulty": "normal", "eq1_id": 2198, "eq2_id": 882, "equation1": "x = ((y * z) * z) * (x * w)", "equation2": "x = y * ((x * y) * (y * x))", "answer": true} |
| {"id": "normal_0549", "index": 549, "difficulty": "normal", "eq1_id": 2521, "eq2_id": 3232, "equation1": "x = (y * ((x * z) * z)) * x", "equation2": "x = (((y * z) * w) * y) * x", "answer": true} |
| {"id": "normal_0550", "index": 550, "difficulty": "normal", "eq1_id": 371, "eq2_id": 1417, "equation1": "x * x = (y * z) * y", "equation2": "x = y * (((z * w) * w) * z)", "answer": false} |
| {"id": "normal_0551", "index": 551, "difficulty": "normal", "eq1_id": 15, "eq2_id": 1527, "equation1": "x = y * (x * z)", "equation2": "x = (y * y) * (y * (x * z))", "answer": true} |
| {"id": "normal_0552", "index": 552, "difficulty": "normal", "eq1_id": 2443, "eq2_id": 3295, "equation1": "x = (x * ((x * x) * y)) * x", "equation2": "x * x = y * (z * (y * w))", "answer": false} |
| {"id": "normal_0553", "index": 553, "difficulty": "normal", "eq1_id": 2636, "eq2_id": 1261, "equation1": "x = (y * ((z * w) * w)) * w", "equation2": "x = x * (((y * z) * x) * w)", "answer": true} |
| {"id": "normal_0554", "index": 554, "difficulty": "normal", "eq1_id": 1184, "eq2_id": 509, "equation1": "x = y * ((z * (z * y)) * x)", "equation2": "x = y * (y * (x * (z * w)))", "answer": false} |
| {"id": "normal_0555", "index": 555, "difficulty": "normal", "eq1_id": 2840, "eq2_id": 2549, "equation1": "x = ((y * z) * (w * w)) * u", "equation2": "x = (y * ((y * y) * z)) * w", "answer": true} |
| {"id": "normal_0556", "index": 556, "difficulty": "normal", "eq1_id": 1457, "eq2_id": 1954, "equation1": "x = (x * y) * (y * (z * x))", "equation2": "x = (y * (y * z)) * (w * y)", "answer": false} |
| {"id": "normal_0557", "index": 557, "difficulty": "normal", "eq1_id": 2557, "eq2_id": 4158, "equation1": "x = (y * ((y * z) * y)) * w", "equation2": "x * y = ((y * x) * y) * y", "answer": true} |
| {"id": "normal_0558", "index": 558, "difficulty": "normal", "eq1_id": 2363, "eq2_id": 1931, "equation1": "x = (y * (y * (z * w))) * u", "equation2": "x = (y * (y * y)) * (x * x)", "answer": true} |
| {"id": "normal_0559", "index": 559, "difficulty": "normal", "eq1_id": 3013, "eq2_id": 1094, "equation1": "x = ((y * (z * z)) * y) * z", "equation2": "x = y * ((x * (z * x)) * z)", "answer": true} |
| {"id": "normal_0560", "index": 560, "difficulty": "normal", "eq1_id": 775, "eq2_id": 1399, "equation1": "x = y * (z * ((z * x) * y))", "equation2": "x = y * (((z * z) * w) * u)", "answer": false} |
| {"id": "normal_0561", "index": 561, "difficulty": "normal", "eq1_id": 1147, "eq2_id": 641, "equation1": "x = y * ((z * (x * x)) * y)", "equation2": "x = x * (y * ((y * x) * z))", "answer": true} |
| {"id": "normal_0562", "index": 562, "difficulty": "normal", "eq1_id": 4060, "eq2_id": 2884, "equation1": "x * y = (z * (w * u)) * y", "equation2": "x = ((x * (y * z)) * x) * z", "answer": false} |
| {"id": "normal_0563", "index": 563, "difficulty": "normal", "eq1_id": 3415, "eq2_id": 1455, "equation1": "x * y = z * (z * (x * z))", "equation2": "x = (x * y) * (y * (y * y))", "answer": false} |
| {"id": "normal_0564", "index": 564, "difficulty": "normal", "eq1_id": 3277, "eq2_id": 3057, "equation1": "x * x = y * (x * (z * w))", "equation2": "x = (((x * x) * y) * x) * z", "answer": false} |
| {"id": "normal_0565", "index": 565, "difficulty": "normal", "eq1_id": 1888, "eq2_id": 1521, "equation1": "x = (y * (x * x)) * (y * y)", "equation2": "x = (y * y) * (x * (z * x))", "answer": false} |
| {"id": "normal_0566", "index": 566, "difficulty": "normal", "eq1_id": 3450, "eq2_id": 3403, "equation1": "x * y = z * (w * (u * x))", "equation2": "x * y = z * (y * (y * w))", "answer": true} |
| {"id": "normal_0567", "index": 567, "difficulty": "normal", "eq1_id": 756, "eq2_id": 213, "equation1": "x = y * (z * ((x * w) * u))", "equation2": "x = (x * (y * y)) * z", "answer": true} |
| {"id": "normal_0568", "index": 568, "difficulty": "normal", "eq1_id": 3446, "eq2_id": 2581, "equation1": "x * y = z * (w * (w * y))", "equation2": "x = (y * ((z * x) * w)) * z", "answer": false} |
| {"id": "normal_0569", "index": 569, "difficulty": "normal", "eq1_id": 3868, "eq2_id": 2373, "equation1": "x * x = (x * (y * x)) * y", "equation2": "x = (y * (z * (x * z))) * y", "answer": false} |
| {"id": "normal_0570", "index": 570, "difficulty": "normal", "eq1_id": 1069, "eq2_id": 3681, "equation1": "x = x * ((y * (z * w)) * z)", "equation2": "x * x = (y * x) * (z * y)", "answer": false} |
| {"id": "normal_0571", "index": 571, "difficulty": "normal", "eq1_id": 2106, "eq2_id": 4532, "equation1": "x = ((y * x) * y) * (z * w)", "equation2": "x * (y * z) = (y * z) * y", "answer": true} |
| {"id": "normal_0572", "index": 572, "difficulty": "normal", "eq1_id": 4307, "eq2_id": 698, "equation1": "x * (x * y) = z * (z * y)", "equation2": "x = y * (x * ((z * w) * x))", "answer": false} |
| {"id": "normal_0573", "index": 573, "difficulty": "normal", "eq1_id": 77, "eq2_id": 4238, "equation1": "x = y * (y * (y * z))", "equation2": "x * y = ((z * z) * w) * y", "answer": true} |
| {"id": "normal_0574", "index": 574, "difficulty": "normal", "eq1_id": 1434, "eq2_id": 2152, "equation1": "x = (x * x) * (y * (y * x))", "equation2": "x = ((y * y) * z) * (z * x)", "answer": false} |
| {"id": "normal_0575", "index": 575, "difficulty": "normal", "eq1_id": 420, "eq2_id": 2897, "equation1": "x = x * (x * (y * (y * y)))", "equation2": "x = ((x * (y * z)) * w) * w", "answer": false} |
| {"id": "normal_0576", "index": 576, "difficulty": "normal", "eq1_id": 3133, "eq2_id": 2744, "equation1": "x = (((y * x) * z) * z) * w", "equation2": "x = ((y * y) * (y * x)) * y", "answer": true} |
| {"id": "normal_0577", "index": 577, "difficulty": "normal", "eq1_id": 1646, "eq2_id": 1084, "equation1": "x = (x * y) * ((x * x) * z)", "equation2": "x = y * ((x * (y * x)) * z)", "answer": false} |
| {"id": "normal_0578", "index": 578, "difficulty": "normal", "eq1_id": 3395, "eq2_id": 3745, "equation1": "x * y = z * (x * (w * u))", "equation2": "x * y = (x * z) * (w * z)", "answer": true} |
| {"id": "normal_0579", "index": 579, "difficulty": "normal", "eq1_id": 1722, "eq2_id": 3577, "equation1": "x = (y * y) * ((x * y) * y)", "equation2": "x * y = y * ((z * w) * x)", "answer": false} |
| {"id": "normal_0580", "index": 580, "difficulty": "normal", "eq1_id": 4026, "eq2_id": 1005, "equation1": "x * y = (z * (z * y)) * x", "equation2": "x = y * ((z * w) * (z * y))", "answer": false} |
| {"id": "normal_0581", "index": 581, "difficulty": "normal", "eq1_id": 408, "eq2_id": 2954, "equation1": "x * y = (z * w) * z", "equation2": "x = ((y * (y * y)) * z) * z", "answer": false} |
| {"id": "normal_0582", "index": 582, "difficulty": "normal", "eq1_id": 1923, "eq2_id": 3309, "equation1": "x = (y * (y * x)) * (x * z)", "equation2": "x * y = x * (x * (y * y))", "answer": true} |
| {"id": "normal_0583", "index": 583, "difficulty": "normal", "eq1_id": 2911, "eq2_id": 4117, "equation1": "x = ((y * (x * y)) * x) * z", "equation2": "x * y = ((x * x) * x) * x", "answer": true} |
| {"id": "normal_0584", "index": 584, "difficulty": "normal", "eq1_id": 2216, "eq2_id": 1289, "equation1": "x = ((y * z) * w) * (x * u)", "equation2": "x = y * (((x * y) * y) * y)", "answer": true} |
| {"id": "normal_0585", "index": 585, "difficulty": "normal", "eq1_id": 1409, "eq2_id": 4205, "equation1": "x = y * (((z * w) * y) * u)", "equation2": "x * y = ((z * x) * w) * z", "answer": true} |
| {"id": "normal_0586", "index": 586, "difficulty": "normal", "eq1_id": 3911, "eq2_id": 3957, "equation1": "x * x = (y * (z * w)) * z", "equation2": "x * y = (y * (x * z)) * x", "answer": false} |
| {"id": "normal_0587", "index": 587, "difficulty": "normal", "eq1_id": 4035, "eq2_id": 2555, "equation1": "x * y = (z * (z * w)) * y", "equation2": "x = (y * ((y * z) * y)) * y", "answer": false} |
| {"id": "normal_0588", "index": 588, "difficulty": "normal", "eq1_id": 3359, "eq2_id": 3443, "equation1": "x * y = y * (y * (z * y))", "equation2": "x * y = z * (w * (z * w))", "answer": false} |
| {"id": "normal_0589", "index": 589, "difficulty": "normal", "eq1_id": 158, "eq2_id": 3309, "equation1": "x = (x * y) * (x * z)", "equation2": "x * y = x * (x * (y * y))", "answer": true} |
| {"id": "normal_0590", "index": 590, "difficulty": "normal", "eq1_id": 1926, "eq2_id": 4499, "equation1": "x = (y * (y * x)) * (y * z)", "equation2": "x * (y * y) = (z * z) * z", "answer": true} |
| {"id": "normal_0591", "index": 591, "difficulty": "normal", "eq1_id": 235, "eq2_id": 1405, "equation1": "x = (y * (y * z)) * y", "equation2": "x = y * (((z * w) * y) * x)", "answer": true} |
| {"id": "normal_0592", "index": 592, "difficulty": "normal", "eq1_id": 1726, "eq2_id": 1455, "equation1": "x = (y * y) * ((x * z) * z)", "equation2": "x = (x * y) * (y * (y * y))", "answer": false} |
| {"id": "normal_0593", "index": 593, "difficulty": "normal", "eq1_id": 3924, "eq2_id": 4350, "equation1": "x * y = (x * (y * x)) * x", "equation2": "x * (y * y) = z * (y * x)", "answer": false} |
| {"id": "normal_0594", "index": 594, "difficulty": "normal", "eq1_id": 179, "eq2_id": 4567, "equation1": "x = (y * y) * (y * x)", "equation2": "x * (y * z) = (w * z) * x", "answer": false} |
| {"id": "normal_0595", "index": 595, "difficulty": "normal", "eq1_id": 3732, "eq2_id": 3903, "equation1": "x * y = (x * z) * (x * y)", "equation2": "x * x = (y * (z * y)) * z", "answer": false} |
| {"id": "normal_0596", "index": 596, "difficulty": "normal", "eq1_id": 164, "eq2_id": 750, "equation1": "x = (x * y) * (z * z)", "equation2": "x = y * (z * ((x * z) * z))", "answer": false} |
| {"id": "normal_0597", "index": 597, "difficulty": "normal", "eq1_id": 2431, "eq2_id": 2705, "equation1": "x = (y * (z * (w * w))) * y", "equation2": "x = ((y * x) * (x * z)) * w", "answer": true} |
| {"id": "normal_0598", "index": 598, "difficulty": "normal", "eq1_id": 985, "eq2_id": 3256, "equation1": "x = y * ((z * z) * (z * x))", "equation2": "x * x = x * (x * (y * y))", "answer": false} |
| {"id": "normal_0599", "index": 599, "difficulty": "normal", "eq1_id": 4119, "eq2_id": 3532, "equation1": "x * y = ((x * x) * x) * z", "equation2": "x * y = x * ((z * y) * x)", "answer": true} |
| {"id": "normal_0600", "index": 600, "difficulty": "normal", "eq1_id": 1542, "eq2_id": 2362, "equation1": "x = (y * y) * (z * (y * w))", "equation2": "x = (y * (y * (z * w))) * w", "answer": true} |
| {"id": "normal_0601", "index": 601, "difficulty": "normal", "eq1_id": 1192, "eq2_id": 3952, "equation1": "x = y * ((z * (z * w)) * x)", "equation2": "x * y = (y * (x * x)) * y", "answer": true} |
| {"id": "normal_0602", "index": 602, "difficulty": "normal", "eq1_id": 3238, "eq2_id": 3287, "equation1": "x = (((y * z) * w) * z) * y", "equation2": "x * x = y * (y * (z * w))", "answer": true} |
| {"id": "normal_0603", "index": 603, "difficulty": "normal", "eq1_id": 2149, "eq2_id": 4213, "equation1": "x = ((y * y) * z) * (y * y)", "equation2": "x * y = ((z * y) * y) * y", "answer": true} |
| {"id": "normal_0604", "index": 604, "difficulty": "normal", "eq1_id": 1119, "eq2_id": 1310, "equation1": "x = y * ((y * (y * x)) * x)", "equation2": "x = y * (((x * z) * w) * w)", "answer": false} |
| {"id": "normal_0605", "index": 605, "difficulty": "normal", "eq1_id": 251, "eq2_id": 3496, "equation1": "x = (y * (z * w)) * y", "equation2": "x * x = y * ((z * y) * y)", "answer": true} |
| {"id": "normal_0606", "index": 606, "difficulty": "normal", "eq1_id": 2438, "eq2_id": 3839, "equation1": "x = (y * (z * (w * u))) * w", "equation2": "x * y = (z * w) * (x * w)", "answer": true} |
| {"id": "normal_0607", "index": 607, "difficulty": "normal", "eq1_id": 1179, "eq2_id": 838, "equation1": "x = y * ((z * (y * w)) * u)", "equation2": "x = x * ((y * x) * (z * x))", "answer": true} |
| {"id": "normal_0608", "index": 608, "difficulty": "normal", "eq1_id": 2056, "eq2_id": 4434, "equation1": "x = ((x * y) * x) * (z * x)", "equation2": "x * (y * x) = (x * x) * z", "answer": false} |
| {"id": "normal_0609", "index": 609, "difficulty": "normal", "eq1_id": 1830, "eq2_id": 426, "equation1": "x = (y * z) * ((w * u) * u)", "equation2": "x = x * (y * (x * (x * x)))", "answer": true} |
| {"id": "normal_0610", "index": 610, "difficulty": "normal", "eq1_id": 279, "eq2_id": 3405, "equation1": "x = ((y * x) * z) * w", "equation2": "x * y = z * (y * (z * y))", "answer": true} |
| {"id": "normal_0611", "index": 611, "difficulty": "normal", "eq1_id": 3429, "eq2_id": 3836, "equation1": "x * y = z * (z * (w * u))", "equation2": "x * y = (z * w) * (x * x)", "answer": true} |
| {"id": "normal_0612", "index": 612, "difficulty": "normal", "eq1_id": 4534, "eq2_id": 1435, "equation1": "x * (y * z) = (y * z) * w", "equation2": "x = (x * x) * (y * (y * y))", "answer": false} |
| {"id": "normal_0613", "index": 613, "difficulty": "normal", "eq1_id": 799, "eq2_id": 2568, "equation1": "x = y * (z * ((w * y) * w))", "equation2": "x = (y * ((z * x) * x)) * y", "answer": true} |
| {"id": "normal_0614", "index": 614, "difficulty": "normal", "eq1_id": 2463, "eq2_id": 3979, "equation1": "x = (x * ((y * x) * z)) * y", "equation2": "x * y = (y * (z * z)) * x", "answer": false} |
| {"id": "normal_0615", "index": 615, "difficulty": "normal", "eq1_id": 1190, "eq2_id": 880, "equation1": "x = y * ((z * (z * z)) * z)", "equation2": "x = y * ((x * y) * (x * y))", "answer": true} |
| {"id": "normal_0616", "index": 616, "difficulty": "normal", "eq1_id": 3536, "eq2_id": 1516, "equation1": "x * y = x * ((z * z) * x)", "equation2": "x = (y * y) * (x * (x * y))", "answer": false} |
| {"id": "normal_0617", "index": 617, "difficulty": "normal", "eq1_id": 3268, "eq2_id": 2843, "equation1": "x * x = y * (x * (x * x))", "equation2": "x = ((y * z) * (w * u)) * z", "answer": false} |
| {"id": "normal_0618", "index": 618, "difficulty": "normal", "eq1_id": 528, "eq2_id": 162, "equation1": "x = y * (y * (z * (z * x)))", "equation2": "x = (x * y) * (z * x)", "answer": false} |
| {"id": "normal_0619", "index": 619, "difficulty": "normal", "eq1_id": 4200, "eq2_id": 4269, "equation1": "x * y = ((z * x) * z) * y", "equation2": "x * (x * x) = x * (y * x)", "answer": false} |
| {"id": "normal_0620", "index": 620, "difficulty": "normal", "eq1_id": 2009, "eq2_id": 4146, "equation1": "x = (y * (z * w)) * (x * x)", "equation2": "x * y = ((x * z) * z) * y", "answer": true} |
| {"id": "normal_0621", "index": 621, "difficulty": "normal", "eq1_id": 939, "eq2_id": 1238, "equation1": "x = y * ((y * z) * (w * y))", "equation2": "x = x * (((y * x) * x) * x)", "answer": true} |
| {"id": "normal_0622", "index": 622, "difficulty": "normal", "eq1_id": 3298, "eq2_id": 3667, "equation1": "x * x = y * (z * (z * z))", "equation2": "x * x = (x * y) * (y * x)", "answer": false} |
| {"id": "normal_0623", "index": 623, "difficulty": "normal", "eq1_id": 3391, "eq2_id": 4649, "equation1": "x * y = z * (x * (w * x))", "equation2": "(x * y) * x = (z * w) * x", "answer": true} |
| {"id": "normal_0624", "index": 624, "difficulty": "normal", "eq1_id": 727, "eq2_id": 3250, "equation1": "x = y * (y * ((z * y) * x))", "equation2": "x = (((y * z) * w) * u) * w", "answer": false} |
| {"id": "normal_0625", "index": 625, "difficulty": "normal", "eq1_id": 2833, "eq2_id": 235, "equation1": "x = ((y * z) * (w * z)) * z", "equation2": "x = (y * (y * z)) * y", "answer": true} |
| {"id": "normal_0626", "index": 626, "difficulty": "normal", "eq1_id": 1417, "eq2_id": 2572, "equation1": "x = y * (((z * w) * w) * z)", "equation2": "x = (y * ((z * x) * y)) * y", "answer": true} |
| {"id": "normal_0627", "index": 627, "difficulty": "normal", "eq1_id": 2693, "eq2_id": 2505, "equation1": "x = ((x * y) * (z * w)) * z", "equation2": "x = (y * ((x * y) * x)) * z", "answer": false} |
| {"id": "normal_0628", "index": 628, "difficulty": "normal", "eq1_id": 2734, "eq2_id": 781, "equation1": "x = ((y * y) * (x * x)) * y", "equation2": "x = y * (z * ((z * y) * w))", "answer": false} |
| {"id": "normal_0629", "index": 629, "difficulty": "normal", "eq1_id": 1612, "eq2_id": 3875, "equation1": "x = (y * z) * (w * (y * u))", "equation2": "x * x = (x * (y * z)) * z", "answer": true} |
| {"id": "normal_0630", "index": 630, "difficulty": "normal", "eq1_id": 628, "eq2_id": 2746, "equation1": "x = x * (x * ((y * z) * w))", "equation2": "x = ((y * y) * (y * y)) * x", "answer": false} |
| {"id": "normal_0631", "index": 631, "difficulty": "normal", "eq1_id": 2724, "eq2_id": 2268, "equation1": "x = ((y * x) * (z * z)) * x", "equation2": "x = (x * (y * (y * y))) * z", "answer": false} |
| {"id": "normal_0632", "index": 632, "difficulty": "normal", "eq1_id": 3573, "eq2_id": 3877, "equation1": "x * y = y * ((z * z) * x)", "equation2": "x * x = (y * (x * x)) * x", "answer": false} |
| {"id": "normal_0633", "index": 633, "difficulty": "normal", "eq1_id": 780, "eq2_id": 309, "equation1": "x = y * (z * ((z * y) * z))", "equation2": "x * x = x * (y * x)", "answer": true} |
| {"id": "normal_0634", "index": 634, "difficulty": "normal", "eq1_id": 3077, "eq2_id": 101, "equation1": "x = (((x * y) * y) * x) * z", "equation2": "x = x * ((x * y) * x)", "answer": false} |
| {"id": "normal_0635", "index": 635, "difficulty": "normal", "eq1_id": 3838, "eq2_id": 4408, "equation1": "x * y = (z * w) * (x * z)", "equation2": "x * (x * y) = (y * y) * x", "answer": true} |
| {"id": "normal_0636", "index": 636, "difficulty": "normal", "eq1_id": 4248, "eq2_id": 1536, "equation1": "x * y = ((z * w) * y) * y", "equation2": "x = (y * y) * (z * (x * y))", "answer": false} |
| {"id": "normal_0637", "index": 637, "difficulty": "normal", "eq1_id": 3838, "eq2_id": 2193, "equation1": "x * y = (z * w) * (x * z)", "equation2": "x = ((y * z) * y) * (w * w)", "answer": false} |
| {"id": "normal_0638", "index": 638, "difficulty": "normal", "eq1_id": 1162, "eq2_id": 3992, "equation1": "x = y * ((z * (x * w)) * u)", "equation2": "x * y = (z * (x * y)) * x", "answer": true} |
| {"id": "normal_0639", "index": 639, "difficulty": "normal", "eq1_id": 415, "eq2_id": 2368, "equation1": "x = x * (x * (x * (y * z)))", "equation2": "x = (y * (z * (x * y))) * x", "answer": false} |
| {"id": "normal_0640", "index": 640, "difficulty": "normal", "eq1_id": 2160, "eq2_id": 4293, "equation1": "x = ((y * y) * z) * (w * u)", "equation2": "x * (x * y) = y * (y * x)", "answer": true} |
| {"id": "normal_0641", "index": 641, "difficulty": "normal", "eq1_id": 2719, "eq2_id": 684, "equation1": "x = ((y * x) * (z * x)) * w", "equation2": "x = y * (x * ((y * z) * z))", "answer": true} |
| {"id": "normal_0642", "index": 642, "difficulty": "normal", "eq1_id": 2471, "eq2_id": 3670, "equation1": "x = (x * ((y * y) * y)) * z", "equation2": "x * x = (x * y) * (z * x)", "answer": false} |
| {"id": "normal_0643", "index": 643, "difficulty": "normal", "eq1_id": 3558, "eq2_id": 2056, "equation1": "x * y = y * ((y * y) * x)", "equation2": "x = ((x * y) * x) * (z * x)", "answer": false} |
| {"id": "normal_0644", "index": 644, "difficulty": "normal", "eq1_id": 2891, "eq2_id": 1409, "equation1": "x = ((x * (y * z)) * z) * y", "equation2": "x = y * (((z * w) * y) * u)", "answer": false} |
| {"id": "normal_0645", "index": 645, "difficulty": "normal", "eq1_id": 1205, "eq2_id": 450, "equation1": "x = y * ((z * (w * y)) * w)", "equation2": "x = x * (y * (z * (y * x)))", "answer": true} |
| {"id": "normal_0646", "index": 646, "difficulty": "normal", "eq1_id": 2034, "eq2_id": 2417, "equation1": "x = (y * (z * w)) * (u * v)", "equation2": "x = (y * (z * (w * x))) * z", "answer": true} |
| {"id": "normal_0647", "index": 647, "difficulty": "normal", "eq1_id": 3077, "eq2_id": 932, "equation1": "x = (((x * y) * y) * x) * z", "equation2": "x = y * ((y * z) * (y * z))", "answer": false} |
| {"id": "normal_0648", "index": 648, "difficulty": "normal", "eq1_id": 569, "eq2_id": 2354, "equation1": "x = y * (z * (y * (w * w)))", "equation2": "x = (y * (y * (z * y))) * w", "answer": true} |
| {"id": "normal_0649", "index": 649, "difficulty": "normal", "eq1_id": 1121, "eq2_id": 4680, "equation1": "x = y * ((y * (y * x)) * z)", "equation2": "(x * y) * z = (y * z) * w", "answer": true} |
| {"id": "normal_0650", "index": 650, "difficulty": "normal", "eq1_id": 456, "eq2_id": 1229, "equation1": "x = x * (y * (z * (z * z)))", "equation2": "x = x * (((x * y) * x) * y)", "answer": true} |
| {"id": "normal_0651", "index": 651, "difficulty": "normal", "eq1_id": 3490, "eq2_id": 151, "equation1": "x * x = y * ((y * z) * w)", "equation2": "x = (x * x) * (x * x)", "answer": false} |
| {"id": "normal_0652", "index": 652, "difficulty": "normal", "eq1_id": 776, "eq2_id": 629, "equation1": "x = y * (z * ((z * x) * z))", "equation2": "x = x * (y * ((x * x) * x))", "answer": true} |
| {"id": "normal_0653", "index": 653, "difficulty": "normal", "eq1_id": 3948, "eq2_id": 3760, "equation1": "x * y = (x * (z * w)) * z", "equation2": "x * y = (y * y) * (x * z)", "answer": false} |
| {"id": "normal_0654", "index": 654, "difficulty": "normal", "eq1_id": 3836, "eq2_id": 3534, "equation1": "x * y = (z * w) * (x * x)", "equation2": "x * y = x * ((z * y) * z)", "answer": true} |
| {"id": "normal_0655", "index": 655, "difficulty": "normal", "eq1_id": 3120, "eq2_id": 671, "equation1": "x = (((y * x) * y) * z) * z", "equation2": "x = y * (x * ((x * y) * z))", "answer": false} |
| {"id": "normal_0656", "index": 656, "difficulty": "normal", "eq1_id": 4033, "eq2_id": 3686, "equation1": "x * y = (z * (z * z)) * w", "equation2": "x * x = (y * y) * (x * z)", "answer": true} |
| {"id": "normal_0657", "index": 657, "difficulty": "normal", "eq1_id": 2800, "eq2_id": 866, "equation1": "x = ((y * z) * (y * w)) * y", "equation2": "x = x * ((y * z) * (w * z))", "answer": true} |
| {"id": "normal_0658", "index": 658, "difficulty": "normal", "eq1_id": 2386, "eq2_id": 120, "equation1": "x = (y * (z * (y * y))) * y", "equation2": "x = y * ((x * z) * x)", "answer": true} |
| {"id": "normal_0659", "index": 659, "difficulty": "normal", "eq1_id": 1944, "eq2_id": 1007, "equation1": "x = (y * (y * z)) * (x * w)", "equation2": "x = y * ((z * w) * (z * w))", "answer": true} |
| {"id": "normal_0660", "index": 660, "difficulty": "normal", "eq1_id": 1406, "eq2_id": 1021, "equation1": "x = y * (((z * w) * y) * y)", "equation2": "x = x * ((x * (x * x)) * y)", "answer": true} |
| {"id": "normal_0661", "index": 661, "difficulty": "normal", "eq1_id": 2300, "eq2_id": 1007, "equation1": "x = (y * (x * (y * x))) * x", "equation2": "x = y * ((z * w) * (z * w))", "answer": false} |
| {"id": "normal_0662", "index": 662, "difficulty": "normal", "eq1_id": 1670, "eq2_id": 2997, "equation1": "x = (x * y) * ((z * y) * z)", "equation2": "x = ((y * (z * y)) * y) * w", "answer": false} |
| {"id": "normal_0663", "index": 663, "difficulty": "normal", "eq1_id": 1144, "eq2_id": 1212, "equation1": "x = y * ((y * (z * w)) * w)", "equation2": "x = y * ((z * (w * w)) * x)", "answer": true} |
| {"id": "normal_0664", "index": 664, "difficulty": "normal", "eq1_id": 1879, "eq2_id": 1572, "equation1": "x = (x * (y * z)) * (w * x)", "equation2": "x = (y * z) * (y * (x * w))", "answer": false} |
| {"id": "normal_0665", "index": 665, "difficulty": "normal", "eq1_id": 1170, "eq2_id": 275, "equation1": "x = y * ((z * (y * y)) * w)", "equation2": "x = ((y * x) * y) * z", "answer": true} |
| {"id": "normal_0666", "index": 666, "difficulty": "normal", "eq1_id": 529, "eq2_id": 1127, "equation1": "x = y * (y * (z * (z * y)))", "equation2": "x = y * ((y * (y * z)) * z)", "answer": true} |
| {"id": "normal_0667", "index": 667, "difficulty": "normal", "eq1_id": 2389, "eq2_id": 2988, "equation1": "x = (y * (z * (y * z))) * x", "equation2": "x = ((y * (z * x)) * w) * w", "answer": false} |
| {"id": "normal_0668", "index": 668, "difficulty": "normal", "eq1_id": 1297, "eq2_id": 430, "equation1": "x = y * (((x * z) * x) * z)", "equation2": "x = x * (y * (x * (y * y)))", "answer": true} |
| {"id": "normal_0669", "index": 669, "difficulty": "normal", "eq1_id": 2142, "eq2_id": 3646, "equation1": "x = ((y * y) * y) * (z * z)", "equation2": "x * y = z * ((w * z) * w)", "answer": true} |
| {"id": "normal_0670", "index": 670, "difficulty": "normal", "eq1_id": 2670, "eq2_id": 4331, "equation1": "x = ((x * y) * (y * x)) * y", "equation2": "x * (y * x) = z * (y * y)", "answer": false} |
| {"id": "normal_0671", "index": 671, "difficulty": "normal", "eq1_id": 4243, "eq2_id": 2728, "equation1": "x * y = ((z * w) * x) * y", "equation2": "x = ((y * x) * (z * w)) * x", "answer": false} |
| {"id": "normal_0672", "index": 672, "difficulty": "normal", "eq1_id": 2392, "eq2_id": 3536, "equation1": "x = (y * (z * (y * z))) * w", "equation2": "x * y = x * ((z * z) * x)", "answer": true} |
| {"id": "normal_0673", "index": 673, "difficulty": "normal", "eq1_id": 1397, "eq2_id": 4066, "equation1": "x = y * (((z * z) * w) * z)", "equation2": "x * x = ((x * x) * x) * y", "answer": true} |
| {"id": "normal_0674", "index": 674, "difficulty": "normal", "eq1_id": 1723, "eq2_id": 53, "equation1": "x = (y * y) * ((x * y) * z)", "equation2": "x = x * (y * (x * y))", "answer": true} |
| {"id": "normal_0675", "index": 675, "difficulty": "normal", "eq1_id": 4380, "eq2_id": 842, "equation1": "x * (x * x) = (x * x) * x", "equation2": "x = x * ((y * y) * (x * x))", "answer": false} |
| {"id": "normal_0676", "index": 676, "difficulty": "normal", "eq1_id": 1340, "eq2_id": 1452, "equation1": "x = y * (((y * z) * z) * x)", "equation2": "x = (x * y) * (y * (x * y))", "answer": false} |
| {"id": "normal_0677", "index": 677, "difficulty": "normal", "eq1_id": 2827, "eq2_id": 971, "equation1": "x = ((y * z) * (w * y)) * y", "equation2": "x = y * ((z * y) * (z * w))", "answer": true} |
| {"id": "normal_0678", "index": 678, "difficulty": "normal", "eq1_id": 4271, "eq2_id": 915, "equation1": "x * (x * x) = x * (y * z)", "equation2": "x = y * ((y * x) * (z * w))", "answer": false} |
| {"id": "normal_0679", "index": 679, "difficulty": "normal", "eq1_id": 600, "eq2_id": 357, "equation1": "x = y * (z * (w * (z * z)))", "equation2": "x * y = z * (w * w)", "answer": true} |
| {"id": "normal_0680", "index": 680, "difficulty": "normal", "eq1_id": 3548, "eq2_id": 1948, "equation1": "x * y = y * ((x * y) * x)", "equation2": "x = (y * (y * z)) * (y * w)", "answer": false} |
| {"id": "normal_0681", "index": 681, "difficulty": "normal", "eq1_id": 2366, "eq2_id": 2498, "equation1": "x = (y * (z * (x * x))) * z", "equation2": "x = (y * ((x * x) * y)) * z", "answer": true} |
| {"id": "normal_0682", "index": 682, "difficulty": "normal", "eq1_id": 1161, "eq2_id": 3598, "equation1": "x = y * ((z * (x * w)) * w)", "equation2": "x * y = z * ((x * w) * u)", "answer": true} |
| {"id": "normal_0683", "index": 683, "difficulty": "normal", "eq1_id": 4557, "eq2_id": 1964, "equation1": "x * (y * z) = (w * x) * x", "equation2": "x = (y * (z * x)) * (y * z)", "answer": false} |
| {"id": "normal_0684", "index": 684, "difficulty": "normal", "eq1_id": 846, "eq2_id": 380, "equation1": "x = x * ((y * y) * (y * y))", "equation2": "x * y = (x * z) * x", "answer": false} |
| {"id": "normal_0685", "index": 685, "difficulty": "normal", "eq1_id": 3973, "eq2_id": 4631, "equation1": "x * y = (y * (z * x)) * z", "equation2": "(x * y) * x = (x * z) * x", "answer": false} |
| {"id": "normal_0686", "index": 686, "difficulty": "normal", "eq1_id": 3413, "eq2_id": 3812, "equation1": "x * y = z * (z * (x * x))", "equation2": "x * y = (z * y) * (z * z)", "answer": true} |
| {"id": "normal_0687", "index": 687, "difficulty": "normal", "eq1_id": 3544, "eq2_id": 1927, "equation1": "x * y = x * ((z * w) * u)", "equation2": "x = (y * (y * x)) * (z * x)", "answer": false} |
| {"id": "normal_0688", "index": 688, "difficulty": "normal", "eq1_id": 788, "eq2_id": 394, "equation1": "x = y * (z * ((z * w) * z))", "equation2": "x * y = (z * x) * x", "answer": true} |
| {"id": "normal_0689", "index": 689, "difficulty": "normal", "eq1_id": 3985, "eq2_id": 1532, "equation1": "x * y = (y * (z * w)) * z", "equation2": "x = (y * y) * (y * (z * y))", "answer": false} |
| {"id": "normal_0690", "index": 690, "difficulty": "normal", "eq1_id": 3913, "eq2_id": 2904, "equation1": "x * x = (y * (z * w)) * u", "equation2": "x = ((y * (x * x)) * y) * z", "answer": false} |
| {"id": "normal_0691", "index": 691, "difficulty": "normal", "eq1_id": 754, "eq2_id": 2134, "equation1": "x = y * (z * ((x * w) * z))", "equation2": "x = ((y * y) * y) * (x * x)", "answer": true} |
| {"id": "normal_0692", "index": 692, "difficulty": "normal", "eq1_id": 2993, "eq2_id": 1941, "equation1": "x = ((y * (z * y)) * x) * w", "equation2": "x = (y * (y * z)) * (x * x)", "answer": true} |
| {"id": "normal_0693", "index": 693, "difficulty": "normal", "eq1_id": 4334, "eq2_id": 2298, "equation1": "x * (y * x) = z * (w * x)", "equation2": "x = (y * (x * (x * z))) * z", "answer": false} |
| {"id": "normal_0694", "index": 694, "difficulty": "normal", "eq1_id": 4138, "eq2_id": 3463, "equation1": "x * y = ((x * z) * x) * y", "equation2": "x * x = x * ((y * x) * z)", "answer": false} |
| {"id": "normal_0695", "index": 695, "difficulty": "normal", "eq1_id": 355, "eq2_id": 2637, "equation1": "x * y = z * (w * y)", "equation2": "x = (y * ((z * w) * w)) * u", "answer": false} |
| {"id": "normal_0696", "index": 696, "difficulty": "normal", "eq1_id": 3661, "eq2_id": 559, "equation1": "x * x = (x * x) * (y * x)", "equation2": "x = y * (z * (y * (y * y)))", "answer": false} |
| {"id": "normal_0697", "index": 697, "difficulty": "normal", "eq1_id": 1056, "eq2_id": 3997, "equation1": "x = x * ((y * (z * x)) * y)", "equation2": "x * y = (z * (x * z)) * y", "answer": false} |
| {"id": "normal_0698", "index": 698, "difficulty": "normal", "eq1_id": 1906, "eq2_id": 4016, "equation1": "x = (y * (x * z)) * (x * z)", "equation2": "x * y = (z * (y * z)) * w", "answer": true} |
| {"id": "normal_0699", "index": 699, "difficulty": "normal", "eq1_id": 723, "eq2_id": 4379, "equation1": "x = y * (y * ((z * x) * x))", "equation2": "x * (y * z) = w * (u * v)", "answer": false} |
| {"id": "normal_0700", "index": 700, "difficulty": "normal", "eq1_id": 2511, "eq2_id": 4477, "equation1": "x = (y * ((x * y) * z)) * z", "equation2": "x * (y * y) = (x * z) * z", "answer": false} |
| {"id": "normal_0701", "index": 701, "difficulty": "normal", "eq1_id": 288, "eq2_id": 796, "equation1": "x = ((y * y) * z) * z", "equation2": "x = y * (z * ((w * y) * x))", "answer": true} |
| {"id": "normal_0702", "index": 702, "difficulty": "normal", "eq1_id": 1285, "eq2_id": 2266, "equation1": "x = y * (((x * y) * x) * x)", "equation2": "x = (x * (y * (y * y))) * x", "answer": false} |
| {"id": "normal_0703", "index": 703, "difficulty": "normal", "eq1_id": 4540, "eq2_id": 3651, "equation1": "x * (y * z) = (z * x) * x", "equation2": "x * y = z * ((w * w) * w)", "answer": false} |
| {"id": "normal_0704", "index": 704, "difficulty": "normal", "eq1_id": 2212, "eq2_id": 1356, "equation1": "x = ((y * z) * w) * (x * x)", "equation2": "x = y * (((z * x) * y) * w)", "answer": false} |
| {"id": "normal_0705", "index": 705, "difficulty": "normal", "eq1_id": 4069, "eq2_id": 1860, "equation1": "x * x = ((x * x) * y) * z", "equation2": "x = (x * (y * y)) * (y * x)", "answer": false} |
| {"id": "normal_0706", "index": 706, "difficulty": "normal", "eq1_id": 1589, "eq2_id": 1532, "equation1": "x = (y * z) * (z * (x * w))", "equation2": "x = (y * y) * (y * (z * y))", "answer": true} |
| {"id": "normal_0707", "index": 707, "difficulty": "normal", "eq1_id": 4561, "eq2_id": 2151, "equation1": "x * (y * z) = (w * x) * u", "equation2": "x = ((y * y) * z) * (y * w)", "answer": false} |
| {"id": "normal_0708", "index": 708, "difficulty": "normal", "eq1_id": 3328, "eq2_id": 19, "equation1": "x * y = x * (z * (x * w))", "equation2": "x = y * (z * x)", "answer": false} |
| {"id": "normal_0709", "index": 709, "difficulty": "normal", "eq1_id": 3171, "eq2_id": 4072, "equation1": "x = (((y * y) * z) * w) * x", "equation2": "x * x = ((x * y) * x) * z", "answer": false} |
| {"id": "normal_0710", "index": 710, "difficulty": "normal", "eq1_id": 2897, "eq2_id": 1328, "equation1": "x = ((x * (y * z)) * w) * w", "equation2": "x = y * (((y * y) * z) * x)", "answer": false} |
| {"id": "normal_0711", "index": 711, "difficulty": "normal", "eq1_id": 1046, "eq2_id": 2192, "equation1": "x = x * ((y * (y * x)) * y)", "equation2": "x = ((y * z) * y) * (w * z)", "answer": false} |
| {"id": "normal_0712", "index": 712, "difficulty": "normal", "eq1_id": 2791, "eq2_id": 4188, "equation1": "x = ((y * z) * (y * y)) * x", "equation2": "x * y = ((y * z) * w) * z", "answer": false} |
| {"id": "normal_0713", "index": 713, "difficulty": "normal", "eq1_id": 4336, "eq2_id": 746, "equation1": "x * (y * x) = z * (w * z)", "equation2": "x = y * (z * ((x * y) * z))", "answer": false} |
| {"id": "normal_0714", "index": 714, "difficulty": "normal", "eq1_id": 2845, "eq2_id": 1403, "equation1": "x = ((y * z) * (w * u)) * u", "equation2": "x = y * (((z * w) * x) * w)", "answer": true} |
| {"id": "normal_0715", "index": 715, "difficulty": "normal", "eq1_id": 3111, "eq2_id": 927, "equation1": "x = (((y * x) * x) * z) * w", "equation2": "x = y * ((y * z) * (x * y))", "answer": true} |
| {"id": "normal_0716", "index": 716, "difficulty": "normal", "eq1_id": 137, "eq2_id": 3954, "equation1": "x = y * ((z * x) * w)", "equation2": "x * y = (y * (x * y)) * x", "answer": true} |
| {"id": "normal_0717", "index": 717, "difficulty": "normal", "eq1_id": 3277, "eq2_id": 3973, "equation1": "x * x = y * (x * (z * w))", "equation2": "x * y = (y * (z * x)) * z", "answer": false} |
| {"id": "normal_0718", "index": 718, "difficulty": "normal", "eq1_id": 1111, "eq2_id": 3057, "equation1": "x = y * ((y * (x * x)) * z)", "equation2": "x = (((x * x) * y) * x) * z", "answer": true} |
| {"id": "normal_0719", "index": 719, "difficulty": "normal", "eq1_id": 50, "eq2_id": 44, "equation1": "x = x * (x * (y * y))", "equation2": "x * y = y * z", "answer": false} |
| {"id": "normal_0720", "index": 720, "difficulty": "normal", "eq1_id": 891, "eq2_id": 3688, "equation1": "x = y * ((x * z) * (x * z))", "equation2": "x * x = (y * y) * (y * y)", "answer": true} |
| {"id": "normal_0721", "index": 721, "difficulty": "normal", "eq1_id": 72, "eq2_id": 2486, "equation1": "x = y * (y * (x * x))", "equation2": "x = (x * ((y * z) * z)) * z", "answer": false} |
| {"id": "normal_0722", "index": 722, "difficulty": "normal", "eq1_id": 1067, "eq2_id": 1630, "equation1": "x = x * ((y * (z * w)) * x)", "equation2": "x = (x * x) * ((x * x) * y)", "answer": false} |
| {"id": "normal_0723", "index": 723, "difficulty": "normal", "eq1_id": 3123, "eq2_id": 1631, "equation1": "x = (((y * x) * z) * x) * y", "equation2": "x = (x * x) * ((x * y) * x)", "answer": true} |
| {"id": "normal_0724", "index": 724, "difficulty": "normal", "eq1_id": 1968, "eq2_id": 3722, "equation1": "x = (y * (z * x)) * (z * z)", "equation2": "x * y = (x * y) * (x * y)", "answer": true} |
| {"id": "normal_0725", "index": 725, "difficulty": "normal", "eq1_id": 1852, "eq2_id": 425, "equation1": "x = (x * (y * x)) * (y * z)", "equation2": "x = x * (x * (y * (z * w)))", "answer": false} |
| {"id": "normal_0726", "index": 726, "difficulty": "normal", "eq1_id": 364, "eq2_id": 1149, "equation1": "x * x = (y * x) * x", "equation2": "x = y * ((z * (x * x)) * w)", "answer": false} |
| {"id": "normal_0727", "index": 727, "difficulty": "normal", "eq1_id": 2051, "eq2_id": 2361, "equation1": "x = ((x * y) * x) * (x * y)", "equation2": "x = (y * (y * (z * w))) * z", "answer": false} |
| {"id": "normal_0728", "index": 728, "difficulty": "normal", "eq1_id": 302, "eq2_id": 1488, "equation1": "x = ((y * z) * w) * x", "equation2": "x = (y * x) * (y * (x * x))", "answer": true} |
| {"id": "normal_0729", "index": 729, "difficulty": "normal", "eq1_id": 2348, "eq2_id": 2530, "equation1": "x = (y * (y * (z * x))) * y", "equation2": "x = (y * ((y * x) * x)) * x", "answer": true} |
| {"id": "normal_0730", "index": 730, "difficulty": "normal", "eq1_id": 70, "eq2_id": 3052, "equation1": "x = y * (x * (z * z))", "equation2": "x = (((x * x) * x) * y) * x", "answer": true} |
| {"id": "normal_0731", "index": 731, "difficulty": "normal", "eq1_id": 3206, "eq2_id": 3055, "equation1": "x = (((y * z) * y) * w) * y", "equation2": "x = (((x * x) * y) * x) * x", "answer": true} |
| {"id": "normal_0732", "index": 732, "difficulty": "normal", "eq1_id": 3941, "eq2_id": 4193, "equation1": "x * y = (x * (z * y)) * w", "equation2": "x * y = ((z * x) * x) * z", "answer": false} |
| {"id": "normal_0733", "index": 733, "difficulty": "normal", "eq1_id": 717, "eq2_id": 2450, "equation1": "x = y * (y * ((y * y) * y))", "equation2": "x = (x * ((x * y) * y)) * y", "answer": true} |
| {"id": "normal_0734", "index": 734, "difficulty": "normal", "eq1_id": 1799, "eq2_id": 479, "equation1": "x = (y * z) * ((z * z) * z)", "equation2": "x = y * (x * (y * (z * x)))", "answer": true} |
| {"id": "normal_0735", "index": 735, "difficulty": "normal", "eq1_id": 1595, "eq2_id": 798, "equation1": "x = (y * z) * (z * (z * y))", "equation2": "x = y * (z * ((w * y) * z))", "answer": true} |
| {"id": "normal_0736", "index": 736, "difficulty": "normal", "eq1_id": 3883, "eq2_id": 332, "equation1": "x * x = (y * (x * z)) * x", "equation2": "x * y = y * (x * x)", "answer": false} |
| {"id": "normal_0737", "index": 737, "difficulty": "normal", "eq1_id": 1690, "eq2_id": 142, "equation1": "x = (y * x) * ((x * z) * w)", "equation2": "x = y * ((z * z) * x)", "answer": true} |
| {"id": "normal_0738", "index": 738, "difficulty": "normal", "eq1_id": 609, "eq2_id": 2563, "equation1": "x = y * (z * (w * (u * y)))", "equation2": "x = (y * ((y * z) * w)) * y", "answer": true} |
| {"id": "normal_0739", "index": 739, "difficulty": "normal", "eq1_id": 1548, "eq2_id": 4004, "equation1": "x = (y * y) * (z * (w * y))", "equation2": "x * y = (z * (x * w)) * u", "answer": true} |
| {"id": "normal_0740", "index": 740, "difficulty": "normal", "eq1_id": 2653, "eq2_id": 2119, "equation1": "x = ((x * x) * (y * y)) * y", "equation2": "x = ((y * x) * z) * (w * x)", "answer": false} |
| {"id": "normal_0741", "index": 741, "difficulty": "normal", "eq1_id": 1843, "eq2_id": 3083, "equation1": "x = (x * (x * y)) * (z * x)", "equation2": "x = (((x * y) * y) * z) * z", "answer": false} |
| {"id": "normal_0742", "index": 742, "difficulty": "normal", "eq1_id": 3250, "eq2_id": 2371, "equation1": "x = (((y * z) * w) * u) * w", "equation2": "x = (y * (z * (x * y))) * w", "answer": true} |
| {"id": "normal_0743", "index": 743, "difficulty": "normal", "eq1_id": 1351, "eq2_id": 3861, "equation1": "x = y * (((z * x) * x) * z)", "equation2": "x * y = (z * w) * (u * v)", "answer": true} |
| {"id": "normal_0744", "index": 744, "difficulty": "normal", "eq1_id": 1696, "eq2_id": 1387, "equation1": "x = (y * x) * ((y * y) * z)", "equation2": "x = y * (((z * z) * y) * x)", "answer": true} |
| {"id": "normal_0745", "index": 745, "difficulty": "normal", "eq1_id": 4641, "eq2_id": 3306, "equation1": "(x * y) * x = (y * z) * w", "equation2": "x * y = x * (x * (x * y))", "answer": false} |
| {"id": "normal_0746", "index": 746, "difficulty": "normal", "eq1_id": 4008, "eq2_id": 912, "equation1": "x * y = (z * (y * x)) * w", "equation2": "x = y * ((y * x) * (z * x))", "answer": false} |
| {"id": "normal_0747", "index": 747, "difficulty": "normal", "eq1_id": 30, "eq2_id": 3152, "equation1": "x = (y * x) * z", "equation2": "x = (((y * y) * y) * y) * x", "answer": true} |
| {"id": "normal_0748", "index": 748, "difficulty": "normal", "eq1_id": 980, "eq2_id": 4050, "equation1": "x = y * ((z * z) * (x * w))", "equation2": "x * y = (z * (w * z)) * y", "answer": true} |
| {"id": "normal_0749", "index": 749, "difficulty": "normal", "eq1_id": 701, "eq2_id": 2035, "equation1": "x = y * (x * ((z * w) * w))", "equation2": "x = ((x * x) * x) * (x * x)", "answer": true} |
| {"id": "normal_0750", "index": 750, "difficulty": "normal", "eq1_id": 2320, "eq2_id": 118, "equation1": "x = (y * (x * (z * z))) * z", "equation2": "x = y * ((x * y) * y)", "answer": true} |
| {"id": "normal_0751", "index": 751, "difficulty": "normal", "eq1_id": 2563, "eq2_id": 1096, "equation1": "x = (y * ((y * z) * w)) * y", "equation2": "x = y * ((x * (z * y)) * x)", "answer": true} |
| {"id": "normal_0752", "index": 752, "difficulty": "normal", "eq1_id": 1374, "eq2_id": 2541, "equation1": "x = y * (((z * y) * z) * x)", "equation2": "x = (y * ((y * y) * x)) * y", "answer": false} |
| {"id": "normal_0753", "index": 753, "difficulty": "normal", "eq1_id": 560, "eq2_id": 1276, "equation1": "x = y * (z * (y * (y * z)))", "equation2": "x = y * (((x * x) * x) * y)", "answer": true} |
| {"id": "normal_0754", "index": 754, "difficulty": "normal", "eq1_id": 2005, "eq2_id": 1886, "equation1": "x = (y * (z * z)) * (w * y)", "equation2": "x = (y * (x * x)) * (x * z)", "answer": true} |
| {"id": "normal_0755", "index": 755, "difficulty": "normal", "eq1_id": 3757, "eq2_id": 3667, "equation1": "x * y = (y * x) * (z * w)", "equation2": "x * x = (x * y) * (y * x)", "answer": true} |
| {"id": "normal_0756", "index": 756, "difficulty": "normal", "eq1_id": 1280, "eq2_id": 1034, "equation1": "x = y * (((x * x) * y) * z)", "equation2": "x = x * ((x * (y * z)) * w)", "answer": true} |
| {"id": "normal_0757", "index": 757, "difficulty": "normal", "eq1_id": 697, "eq2_id": 1898, "equation1": "x = y * (x * ((z * z) * w))", "equation2": "x = (y * (x * y)) * (y * y)", "answer": true} |
| {"id": "normal_0758", "index": 758, "difficulty": "normal", "eq1_id": 2316, "eq2_id": 1432, "equation1": "x = (y * (x * (z * y))) * z", "equation2": "x = (x * x) * (y * (x * y))", "answer": false} |
| {"id": "normal_0759", "index": 759, "difficulty": "normal", "eq1_id": 4614, "eq2_id": 1334, "equation1": "(x * x) * y = (z * x) * x", "equation2": "x = y * (((y * z) * x) * z)", "answer": false} |
| {"id": "normal_0760", "index": 760, "difficulty": "normal", "eq1_id": 2536, "eq2_id": 660, "equation1": "x = (y * ((y * x) * z)) * x", "equation2": "x = x * (y * ((z * z) * w))", "answer": false} |
| {"id": "normal_0761", "index": 761, "difficulty": "normal", "eq1_id": 792, "eq2_id": 3671, "equation1": "x = y * (z * ((w * x) * y))", "equation2": "x * x = (x * y) * (z * y)", "answer": true} |
| {"id": "normal_0762", "index": 762, "difficulty": "normal", "eq1_id": 908, "eq2_id": 1688, "equation1": "x = y * ((y * x) * (x * z))", "equation2": "x = (y * x) * ((x * z) * y)", "answer": true} |
| {"id": "normal_0763", "index": 763, "difficulty": "normal", "eq1_id": 2770, "eq2_id": 1710, "equation1": "x = ((y * z) * (x * x)) * x", "equation2": "x = (y * x) * ((z * z) * y)", "answer": false} |
| {"id": "normal_0764", "index": 764, "difficulty": "normal", "eq1_id": 2494, "eq2_id": 1190, "equation1": "x = (y * ((x * x) * x)) * y", "equation2": "x = y * ((z * (z * z)) * z)", "answer": false} |
| {"id": "normal_0765", "index": 765, "difficulty": "normal", "eq1_id": 1708, "eq2_id": 3230, "equation1": "x = (y * x) * ((z * y) * w)", "equation2": "x = (((y * z) * w) * x) * w", "answer": true} |
| {"id": "normal_0766", "index": 766, "difficulty": "normal", "eq1_id": 2647, "eq2_id": 2719, "equation1": "x = ((x * x) * (x * y)) * y", "equation2": "x = ((y * x) * (z * x)) * w", "answer": false} |
| {"id": "normal_0767", "index": 767, "difficulty": "normal", "eq1_id": 800, "eq2_id": 1408, "equation1": "x = y * (z * ((w * y) * u))", "equation2": "x = y * (((z * w) * y) * w)", "answer": true} |
| {"id": "normal_0768", "index": 768, "difficulty": "normal", "eq1_id": 2732, "eq2_id": 3404, "equation1": "x = ((y * x) * (z * w)) * u", "equation2": "x * y = z * (y * (z * x))", "answer": true} |
| {"id": "normal_0769", "index": 769, "difficulty": "normal", "eq1_id": 1449, "eq2_id": 2017, "equation1": "x = (x * y) * (x * (z * z))", "equation2": "x = (y * (z * w)) * (y * w)", "answer": false} |
| {"id": "normal_0770", "index": 770, "difficulty": "normal", "eq1_id": 866, "eq2_id": 1088, "equation1": "x = x * ((y * z) * (w * z))", "equation2": "x = y * ((x * (y * z)) * x)", "answer": false} |
| {"id": "normal_0771", "index": 771, "difficulty": "normal", "eq1_id": 3620, "eq2_id": 152, "equation1": "x * y = z * ((z * y) * x)", "equation2": "x = (x * x) * (x * y)", "answer": false} |
| {"id": "normal_0772", "index": 772, "difficulty": "normal", "eq1_id": 2358, "eq2_id": 177, "equation1": "x = (y * (y * (z * z))) * w", "equation2": "x = (y * y) * (x * y)", "answer": true} |
| {"id": "normal_0773", "index": 773, "difficulty": "normal", "eq1_id": 2603, "eq2_id": 1845, "equation1": "x = (y * ((z * z) * x)) * z", "equation2": "x = (x * (x * y)) * (z * z)", "answer": true} |
| {"id": "normal_0774", "index": 774, "difficulty": "normal", "eq1_id": 585, "eq2_id": 497, "equation1": "x = y * (z * (z * (w * z)))", "equation2": "x = y * (x * (z * (w * z)))", "answer": true} |
| {"id": "normal_0775", "index": 775, "difficulty": "normal", "eq1_id": 3622, "eq2_id": 1809, "equation1": "x * y = z * ((z * y) * z)", "equation2": "x = (y * z) * ((w * x) * w)", "answer": false} |
| {"id": "normal_0776", "index": 776, "difficulty": "normal", "eq1_id": 2554, "eq2_id": 3228, "equation1": "x = (y * ((y * z) * y)) * x", "equation2": "x = (((y * z) * w) * x) * y", "answer": false} |
| {"id": "normal_0777", "index": 777, "difficulty": "normal", "eq1_id": 2097, "eq2_id": 1004, "equation1": "x = ((y * x) * y) * (x * x)", "equation2": "x = y * ((z * w) * (z * x))", "answer": false} |
| {"id": "normal_0778", "index": 778, "difficulty": "normal", "eq1_id": 3445, "eq2_id": 1697, "equation1": "x * y = z * (w * (w * x))", "equation2": "x = (y * x) * ((y * z) * x)", "answer": false} |
| {"id": "normal_0779", "index": 779, "difficulty": "normal", "eq1_id": 2760, "eq2_id": 1770, "equation1": "x = ((y * y) * (z * y)) * w", "equation2": "x = (y * z) * ((x * w) * w)", "answer": true} |
| {"id": "normal_0780", "index": 780, "difficulty": "normal", "eq1_id": 323, "eq2_id": 1641, "equation1": "x * y = x * (x * y)", "equation2": "x = (x * x) * ((y * z) * y)", "answer": false} |
| {"id": "normal_0781", "index": 781, "difficulty": "normal", "eq1_id": 811, "eq2_id": 4642, "equation1": "x = y * (z * ((w * u) * x))", "equation2": "(x * y) * x = (z * x) * x", "answer": true} |
| {"id": "normal_0782", "index": 782, "difficulty": "normal", "eq1_id": 2544, "eq2_id": 3642, "equation1": "x = (y * ((y * y) * y)) * y", "equation2": "x * y = z * ((w * y) * u)", "answer": true} |
| {"id": "normal_0783", "index": 783, "difficulty": "normal", "eq1_id": 4331, "eq2_id": 1763, "equation1": "x * (y * x) = z * (y * y)", "equation2": "x = (y * z) * ((x * z) * x)", "answer": false} |
| {"id": "normal_0784", "index": 784, "difficulty": "normal", "eq1_id": 3129, "eq2_id": 4082, "equation1": "x = (((y * x) * z) * y) * w", "equation2": "x * x = ((y * x) * x) * z", "answer": true} |
| {"id": "normal_0785", "index": 785, "difficulty": "normal", "eq1_id": 4505, "eq2_id": 609, "equation1": "x * (y * y) = (z * w) * u", "equation2": "x = y * (z * (w * (u * y)))", "answer": false} |
| {"id": "normal_0786", "index": 786, "difficulty": "normal", "eq1_id": 1547, "eq2_id": 498, "equation1": "x = (y * y) * (z * (w * x))", "equation2": "x = y * (x * (z * (w * w)))", "answer": false} |
| {"id": "normal_0787", "index": 787, "difficulty": "normal", "eq1_id": 2310, "eq2_id": 580, "equation1": "x = (y * (x * (z * x))) * x", "equation2": "x = y * (z * (z * (z * y)))", "answer": false} |
| {"id": "normal_0788", "index": 788, "difficulty": "normal", "eq1_id": 1202, "eq2_id": 1176, "equation1": "x = y * ((z * (w * y)) * x)", "equation2": "x = y * ((z * (y * w)) * y)", "answer": false} |
| {"id": "normal_0789", "index": 789, "difficulty": "normal", "eq1_id": 3925, "eq2_id": 1099, "equation1": "x * y = (x * (y * x)) * y", "equation2": "x = y * ((x * (z * y)) * w)", "answer": false} |
| {"id": "normal_0790", "index": 790, "difficulty": "normal", "eq1_id": 4402, "eq2_id": 2039, "equation1": "x * (x * y) = (x * z) * y", "equation2": "x = ((x * x) * x) * (y * z)", "answer": false} |
| {"id": "normal_0791", "index": 791, "difficulty": "normal", "eq1_id": 139, "eq2_id": 1775, "equation1": "x = y * ((z * y) * y)", "equation2": "x = (y * z) * ((y * x) * w)", "answer": true} |
| {"id": "normal_0792", "index": 792, "difficulty": "normal", "eq1_id": 4617, "eq2_id": 3098, "equation1": "(x * x) * y = (z * x) * w", "equation2": "x = (((x * y) * z) * w) * y", "answer": false} |
| {"id": "normal_0793", "index": 793, "difficulty": "normal", "eq1_id": 1118, "eq2_id": 3486, "equation1": "x = y * ((y * (x * z)) * w)", "equation2": "x * x = y * ((y * y) * z)", "answer": true} |
| {"id": "normal_0794", "index": 794, "difficulty": "normal", "eq1_id": 1059, "eq2_id": 338, "equation1": "x = x * ((y * (z * y)) * x)", "equation2": "x * y = y * (z * x)", "answer": false} |
| {"id": "normal_0795", "index": 795, "difficulty": "normal", "eq1_id": 2494, "eq2_id": 781, "equation1": "x = (y * ((x * x) * x)) * y", "equation2": "x = y * (z * ((z * y) * w))", "answer": false} |
| {"id": "normal_0796", "index": 796, "difficulty": "normal", "eq1_id": 4544, "eq2_id": 438, "equation1": "x * (y * z) = (z * y) * x", "equation2": "x = x * (y * (y * (x * z)))", "answer": false} |
| {"id": "normal_0797", "index": 797, "difficulty": "normal", "eq1_id": 1037, "eq2_id": 1727, "equation1": "x = x * ((y * (x * x)) * z)", "equation2": "x = (y * y) * ((x * z) * w)", "answer": false} |
| {"id": "normal_0798", "index": 798, "difficulty": "normal", "eq1_id": 1105, "eq2_id": 940, "equation1": "x = y * ((x * (z * w)) * y)", "equation2": "x = y * ((y * z) * (w * z))", "answer": true} |
| {"id": "normal_0799", "index": 799, "difficulty": "normal", "eq1_id": 3305, "eq2_id": 3247, "equation1": "x * y = x * (x * (x * x))", "equation2": "x = (((y * z) * w) * u) * x", "answer": false} |
| {"id": "normal_0800", "index": 800, "difficulty": "normal", "eq1_id": 3819, "eq2_id": 3957, "equation1": "x * y = (z * z) * (x * x)", "equation2": "x * y = (y * (x * z)) * x", "answer": true} |
| {"id": "normal_0801", "index": 801, "difficulty": "normal", "eq1_id": 2746, "eq2_id": 2899, "equation1": "x = ((y * y) * (y * y)) * x", "equation2": "x = ((y * (x * x)) * x) * x", "answer": false} |
| {"id": "normal_0802", "index": 802, "difficulty": "normal", "eq1_id": 3171, "eq2_id": 2909, "equation1": "x = (((y * y) * z) * w) * x", "equation2": "x = ((y * (x * y)) * x) * x", "answer": true} |
| {"id": "normal_0803", "index": 803, "difficulty": "normal", "eq1_id": 3807, "eq2_id": 3994, "equation1": "x * y = (z * y) * (y * y)", "equation2": "x * y = (z * (x * y)) * z", "answer": false} |
| {"id": "normal_0804", "index": 804, "difficulty": "normal", "eq1_id": 4641, "eq2_id": 2606, "equation1": "(x * y) * x = (y * z) * w", "equation2": "x = (y * ((z * z) * y)) * y", "answer": false} |
| {"id": "normal_0805", "index": 805, "difficulty": "normal", "eq1_id": 1948, "eq2_id": 900, "equation1": "x = (y * (y * z)) * (y * w)", "equation2": "x = y * ((x * z) * (z * w))", "answer": true} |
| {"id": "normal_0806", "index": 806, "difficulty": "normal", "eq1_id": 3518, "eq2_id": 1942, "equation1": "x * y = x * ((y * x) * x)", "equation2": "x = (y * (y * z)) * (x * y)", "answer": false} |
| {"id": "normal_0807", "index": 807, "difficulty": "normal", "eq1_id": 2499, "eq2_id": 3956, "equation1": "x = (y * ((x * x) * z)) * x", "equation2": "x * y = (y * (x * y)) * z", "answer": false} |
| {"id": "normal_0808", "index": 808, "difficulty": "normal", "eq1_id": 2897, "eq2_id": 2934, "equation1": "x = ((x * (y * z)) * w) * w", "equation2": "x = ((y * (x * z)) * w) * w", "answer": false} |
| {"id": "normal_0809", "index": 809, "difficulty": "normal", "eq1_id": 1565, "eq2_id": 4192, "equation1": "x = (y * z) * (x * (w * y))", "equation2": "x * y = ((z * x) * x) * y", "answer": true} |
| {"id": "normal_0810", "index": 810, "difficulty": "normal", "eq1_id": 1461, "eq2_id": 2319, "equation1": "x = (x * y) * (z * (x * x))", "equation2": "x = (y * (x * (z * z))) * y", "answer": false} |
| {"id": "normal_0811", "index": 811, "difficulty": "normal", "eq1_id": 905, "eq2_id": 2570, "equation1": "x = y * ((x * z) * (w * u))", "equation2": "x = (y * ((z * x) * x)) * w", "answer": true} |
| {"id": "normal_0812", "index": 812, "difficulty": "normal", "eq1_id": 3596, "eq2_id": 1769, "equation1": "x * y = z * ((x * w) * z)", "equation2": "x = (y * z) * ((x * w) * z)", "answer": false} |
| {"id": "normal_0813", "index": 813, "difficulty": "normal", "eq1_id": 1928, "eq2_id": 3236, "equation1": "x = (y * (y * x)) * (z * y)", "equation2": "x = (((y * z) * w) * y) * u", "answer": true} |
| {"id": "normal_0814", "index": 814, "difficulty": "normal", "eq1_id": 3091, "eq2_id": 3525, "equation1": "x = (((x * y) * z) * y) * z", "equation2": "x * y = x * ((y * z) * y)", "answer": false} |
| {"id": "normal_0815", "index": 815, "difficulty": "normal", "eq1_id": 1047, "eq2_id": 2823, "equation1": "x = x * ((y * (y * x)) * z)", "equation2": "x = ((y * z) * (w * x)) * z", "answer": false} |
| {"id": "normal_0816", "index": 816, "difficulty": "normal", "eq1_id": 2495, "eq2_id": 4606, "equation1": "x = (y * ((x * x) * x)) * z", "equation2": "(x * x) * y = (y * x) * y", "answer": true} |
| {"id": "normal_0817", "index": 817, "difficulty": "normal", "eq1_id": 2789, "eq2_id": 3908, "equation1": "x = ((y * z) * (y * x)) * z", "equation2": "x * x = (y * (z * z)) * w", "answer": false} |
| {"id": "normal_0818", "index": 818, "difficulty": "normal", "eq1_id": 2376, "eq2_id": 307, "equation1": "x = (y * (z * (x * w))) * x", "equation2": "x * x = x * (x * x)", "answer": true} |
| {"id": "normal_0819", "index": 819, "difficulty": "normal", "eq1_id": 680, "eq2_id": 395, "equation1": "x = y * (x * ((y * y) * y))", "equation2": "x * y = (z * x) * y", "answer": false} |
| {"id": "normal_0820", "index": 820, "difficulty": "normal", "eq1_id": 678, "eq2_id": 2513, "equation1": "x = y * (x * ((y * x) * z))", "equation2": "x = (y * ((x * z) * x)) * x", "answer": true} |
| {"id": "normal_0821", "index": 821, "difficulty": "normal", "eq1_id": 3033, "eq2_id": 4517, "equation1": "x = ((y * (z * w)) * y) * u", "equation2": "x * (y * z) = (x * z) * w", "answer": true} |
| {"id": "normal_0822", "index": 822, "difficulty": "normal", "eq1_id": 3940, "eq2_id": 941, "equation1": "x * y = (x * (z * y)) * z", "equation2": "x = y * ((y * z) * (w * w))", "answer": false} |
| {"id": "normal_0823", "index": 823, "difficulty": "normal", "eq1_id": 2380, "eq2_id": 4422, "equation1": "x = (y * (z * (x * w))) * u", "equation2": "x * (x * y) = (z * y) * w", "answer": true} |
| {"id": "normal_0824", "index": 824, "difficulty": "normal", "eq1_id": 2644, "eq2_id": 2669, "equation1": "x = ((x * x) * (x * x)) * x", "equation2": "x = ((x * y) * (y * x)) * x", "answer": false} |
| {"id": "normal_0825", "index": 825, "difficulty": "normal", "eq1_id": 239, "eq2_id": 1262, "equation1": "x = (y * (z * x)) * y", "equation2": "x = x * (((y * z) * y) * x)", "answer": true} |
| {"id": "normal_0826", "index": 826, "difficulty": "normal", "eq1_id": 797, "eq2_id": 142, "equation1": "x = y * (z * ((w * y) * y))", "equation2": "x = y * ((z * z) * x)", "answer": true} |
| {"id": "normal_0827", "index": 827, "difficulty": "normal", "eq1_id": 1214, "eq2_id": 3212, "equation1": "x = y * ((z * (w * w)) * z)", "equation2": "x = (((y * z) * z) * x) * z", "answer": true} |
| {"id": "normal_0828", "index": 828, "difficulty": "normal", "eq1_id": 3333, "eq2_id": 4594, "equation1": "x * y = x * (z * (z * x))", "equation2": "(x * x) * x = (y * z) * y", "answer": false} |
| {"id": "normal_0829", "index": 829, "difficulty": "normal", "eq1_id": 3540, "eq2_id": 2617, "equation1": "x * y = x * ((z * w) * x)", "equation2": "x = (y * ((z * z) * w)) * u", "answer": false} |
| {"id": "normal_0830", "index": 830, "difficulty": "normal", "eq1_id": 1276, "eq2_id": 1710, "equation1": "x = y * (((x * x) * x) * y)", "equation2": "x = (y * x) * ((z * z) * y)", "answer": false} |
| {"id": "normal_0831", "index": 831, "difficulty": "normal", "eq1_id": 4527, "eq2_id": 3789, "equation1": "x * (y * z) = (y * y) * x", "equation2": "x * y = (z * x) * (y * x)", "answer": false} |
| {"id": "normal_0832", "index": 832, "difficulty": "normal", "eq1_id": 2045, "eq2_id": 4067, "equation1": "x = ((x * x) * y) * (y * z)", "equation2": "x * x = ((x * x) * y) * x", "answer": false} |
| {"id": "normal_0833", "index": 833, "difficulty": "normal", "eq1_id": 320, "eq2_id": 494, "equation1": "x * x = y * (z * z)", "equation2": "x = y * (x * (z * (z * w)))", "answer": false} |
| {"id": "normal_0834", "index": 834, "difficulty": "normal", "eq1_id": 3363, "eq2_id": 960, "equation1": "x * y = y * (z * (x * y))", "equation2": "x = y * ((z * y) * (x * x))", "answer": false} |
| {"id": "normal_0835", "index": 835, "difficulty": "normal", "eq1_id": 3633, "eq2_id": 1509, "equation1": "x * y = z * ((w * x) * x)", "equation2": "x = (y * x) * (z * (z * w))", "answer": false} |
| {"id": "normal_0836", "index": 836, "difficulty": "normal", "eq1_id": 1287, "eq2_id": 1445, "equation1": "x = y * (((x * y) * x) * z)", "equation2": "x = (x * y) * (x * (y * y))", "answer": true} |
| {"id": "normal_0837", "index": 837, "difficulty": "normal", "eq1_id": 2903, "eq2_id": 3622, "equation1": "x = ((y * (x * x)) * y) * y", "equation2": "x * y = z * ((z * y) * z)", "answer": false} |
| {"id": "normal_0838", "index": 838, "difficulty": "normal", "eq1_id": 2496, "eq2_id": 2241, "equation1": "x = (y * ((x * x) * y)) * x", "equation2": "x = (x * (x * (x * y))) * y", "answer": false} |
| {"id": "normal_0839", "index": 839, "difficulty": "normal", "eq1_id": 229, "eq2_id": 4332, "equation1": "x = (y * (y * x)) * y", "equation2": "x * (y * x) = z * (y * z)", "answer": false} |
| {"id": "normal_0840", "index": 840, "difficulty": "normal", "eq1_id": 2100, "eq2_id": 2750, "equation1": "x = ((y * x) * y) * (y * x)", "equation2": "x = ((y * y) * (y * z)) * y", "answer": false} |
| {"id": "normal_0841", "index": 841, "difficulty": "normal", "eq1_id": 2239, "eq2_id": 3626, "equation1": "x = (x * (x * (x * x))) * y", "equation2": "x * y = z * ((z * z) * z)", "answer": false} |
| {"id": "normal_0842", "index": 842, "difficulty": "normal", "eq1_id": 2386, "eq2_id": 2512, "equation1": "x = (y * (z * (y * y))) * y", "equation2": "x = (y * ((x * y) * z)) * w", "answer": true} |
| {"id": "normal_0843", "index": 843, "difficulty": "normal", "eq1_id": 1823, "eq2_id": 1712, "equation1": "x = (y * z) * ((w * w) * z)", "equation2": "x = (y * x) * ((z * z) * w)", "answer": true} |
| {"id": "normal_0844", "index": 844, "difficulty": "normal", "eq1_id": 1973, "eq2_id": 2445, "equation1": "x = (y * (z * x)) * (w * w)", "equation2": "x = (x * ((x * x) * y)) * z", "answer": true} |
| {"id": "normal_0845", "index": 845, "difficulty": "normal", "eq1_id": 1436, "eq2_id": 3558, "equation1": "x = (x * x) * (y * (y * z))", "equation2": "x * y = y * ((y * y) * x)", "answer": false} |
| {"id": "normal_0846", "index": 846, "difficulty": "normal", "eq1_id": 2861, "eq2_id": 2537, "equation1": "x = ((x * (x * y)) * z) * w", "equation2": "x = (y * ((y * x) * z)) * y", "answer": false} |
| {"id": "normal_0847", "index": 847, "difficulty": "normal", "eq1_id": 4395, "eq2_id": 3454, "equation1": "x * (x * y) = (x * x) * x", "equation2": "x * y = z * (w * (u * u))", "answer": false} |
| {"id": "normal_0848", "index": 848, "difficulty": "normal", "eq1_id": 1495, "eq2_id": 2212, "equation1": "x = (y * x) * (y * (z * y))", "equation2": "x = ((y * z) * w) * (x * x)", "answer": true} |
| {"id": "normal_0849", "index": 849, "difficulty": "normal", "eq1_id": 148, "eq2_id": 1874, "equation1": "x = y * ((z * w) * z)", "equation2": "x = (x * (y * z)) * (y * w)", "answer": true} |
| {"id": "normal_0850", "index": 850, "difficulty": "normal", "eq1_id": 3945, "eq2_id": 2026, "equation1": "x * y = (x * (z * z)) * w", "equation2": "x = (y * (z * w)) * (w * z)", "answer": false} |
| {"id": "normal_0851", "index": 851, "difficulty": "normal", "eq1_id": 2495, "eq2_id": 3854, "equation1": "x = (y * ((x * x) * x)) * z", "equation2": "x * y = (z * w) * (w * w)", "answer": true} |
| {"id": "normal_0852", "index": 852, "difficulty": "normal", "eq1_id": 503, "eq2_id": 1158, "equation1": "x = y * (y * (x * (y * x)))", "equation2": "x = y * ((z * (x * w)) * x)", "answer": false} |
| {"id": "normal_0853", "index": 853, "difficulty": "normal", "eq1_id": 3391, "eq2_id": 2107, "equation1": "x * y = z * (x * (w * x))", "equation2": "x = ((y * x) * z) * (x * x)", "answer": false} |
| {"id": "normal_0854", "index": 854, "difficulty": "normal", "eq1_id": 1421, "eq2_id": 3633, "equation1": "x = y * (((z * w) * u) * y)", "equation2": "x * y = z * ((w * x) * x)", "answer": true} |
| {"id": "normal_0855", "index": 855, "difficulty": "normal", "eq1_id": 280, "eq2_id": 2394, "equation1": "x = ((y * y) * x) * x", "equation2": "x = (y * (z * (y * w))) * y", "answer": false} |
| {"id": "normal_0856", "index": 856, "difficulty": "normal", "eq1_id": 2814, "eq2_id": 2062, "equation1": "x = ((y * z) * (z * z)) * z", "equation2": "x = ((x * y) * y) * (x * z)", "answer": true} |
| {"id": "normal_0857", "index": 857, "difficulty": "normal", "eq1_id": 2156, "eq2_id": 846, "equation1": "x = ((y * y) * z) * (w * x)", "equation2": "x = x * ((y * y) * (y * y))", "answer": false} |
| {"id": "normal_0858", "index": 858, "difficulty": "normal", "eq1_id": 1078, "eq2_id": 891, "equation1": "x = y * ((x * (x * z)) * x)", "equation2": "x = y * ((x * z) * (x * z))", "answer": false} |
| {"id": "normal_0859", "index": 859, "difficulty": "normal", "eq1_id": 3739, "eq2_id": 409, "equation1": "x * y = (x * z) * (z * x)", "equation2": "x * y = (z * w) * w", "answer": false} |
| {"id": "normal_0860", "index": 860, "difficulty": "normal", "eq1_id": 3857, "eq2_id": 1150, "equation1": "x * y = (z * w) * (u * y)", "equation2": "x = y * ((z * (x * y)) * x)", "answer": false} |
| {"id": "normal_0861", "index": 861, "difficulty": "normal", "eq1_id": 2604, "eq2_id": 2863, "equation1": "x = (y * ((z * z) * x)) * w", "equation2": "x = ((x * (y * x)) * x) * y", "answer": true} |
| {"id": "normal_0862", "index": 862, "difficulty": "normal", "eq1_id": 517, "eq2_id": 3301, "equation1": "x = y * (y * (y * (z * y)))", "equation2": "x * x = y * (z * (w * y))", "answer": true} |
| {"id": "normal_0863", "index": 863, "difficulty": "normal", "eq1_id": 1798, "eq2_id": 249, "equation1": "x = (y * z) * ((z * z) * y)", "equation2": "x = (y * (z * z)) * w", "answer": true} |
| {"id": "normal_0864", "index": 864, "difficulty": "normal", "eq1_id": 3027, "eq2_id": 2311, "equation1": "x = ((y * (z * w)) * x) * w", "equation2": "x = (y * (x * (z * x))) * y", "answer": true} |
| {"id": "normal_0865", "index": 865, "difficulty": "normal", "eq1_id": 4439, "eq2_id": 886, "equation1": "x * (y * x) = (x * z) * y", "equation2": "x = y * ((x * y) * (z * y))", "answer": false} |
| {"id": "normal_0866", "index": 866, "difficulty": "normal", "eq1_id": 4048, "eq2_id": 3520, "equation1": "x * y = (z * (w * y)) * u", "equation2": "x * y = x * ((y * x) * z)", "answer": true} |
| {"id": "normal_0867", "index": 867, "difficulty": "normal", "eq1_id": 2197, "eq2_id": 3304, "equation1": "x = ((y * z) * z) * (x * z)", "equation2": "x * x = y * (z * (w * u))", "answer": true} |
| {"id": "normal_0868", "index": 868, "difficulty": "normal", "eq1_id": 1193, "eq2_id": 3952, "equation1": "x = y * ((z * (z * w)) * y)", "equation2": "x * y = (y * (x * x)) * y", "answer": true} |
| {"id": "normal_0869", "index": 869, "difficulty": "normal", "eq1_id": 1011, "eq2_id": 2472, "equation1": "x = y * ((z * w) * (w * z))", "equation2": "x = (x * ((y * y) * z)) * x", "answer": true} |
| {"id": "normal_0870", "index": 870, "difficulty": "normal", "eq1_id": 3222, "eq2_id": 1128, "equation1": "x = (((y * z) * z) * w) * x", "equation2": "x = y * ((y * (y * z)) * w)", "answer": false} |
| {"id": "normal_0871", "index": 871, "difficulty": "normal", "eq1_id": 1165, "eq2_id": 251, "equation1": "x = y * ((z * (y * x)) * z)", "equation2": "x = (y * (z * w)) * y", "answer": false} |
| {"id": "normal_0872", "index": 872, "difficulty": "normal", "eq1_id": 3275, "eq2_id": 1186, "equation1": "x * x = y * (x * (z * y))", "equation2": "x = y * ((z * (z * y)) * z)", "answer": false} |
| {"id": "normal_0873", "index": 873, "difficulty": "normal", "eq1_id": 3153, "eq2_id": 4539, "equation1": "x = (((y * y) * y) * y) * y", "equation2": "x * (y * z) = (y * w) * u", "answer": true} |
| {"id": "normal_0874", "index": 874, "difficulty": "normal", "eq1_id": 1787, "eq2_id": 25, "equation1": "x = (y * z) * ((y * w) * w)", "equation2": "x = (x * y) * x", "answer": true} |
| {"id": "normal_0875", "index": 875, "difficulty": "normal", "eq1_id": 3081, "eq2_id": 2614, "equation1": "x = (((x * y) * y) * z) * x", "equation2": "x = (y * ((z * z) * w)) * y", "answer": false} |
| {"id": "normal_0876", "index": 876, "difficulty": "normal", "eq1_id": 688, "eq2_id": 3470, "equation1": "x = y * (x * ((z * x) * z))", "equation2": "x * x = x * ((y * z) * w)", "answer": true} |
| {"id": "normal_0877", "index": 877, "difficulty": "normal", "eq1_id": 4053, "eq2_id": 2833, "equation1": "x * y = (z * (w * z)) * u", "equation2": "x = ((y * z) * (w * z)) * z", "answer": false} |
| {"id": "normal_0878", "index": 878, "difficulty": "normal", "eq1_id": 906, "eq2_id": 2036, "equation1": "x = y * ((y * x) * (x * x))", "equation2": "x = ((x * x) * x) * (x * y)", "answer": false} |
| {"id": "normal_0879", "index": 879, "difficulty": "normal", "eq1_id": 2202, "eq2_id": 134, "equation1": "x = ((y * z) * z) * (y * w)", "equation2": "x = y * ((z * x) * x)", "answer": true} |
| {"id": "normal_0880", "index": 880, "difficulty": "normal", "eq1_id": 68, "eq2_id": 2860, "equation1": "x = y * (x * (z * x))", "equation2": "x = ((x * (x * y)) * z) * z", "answer": false} |
| {"id": "normal_0881", "index": 881, "difficulty": "normal", "eq1_id": 2017, "eq2_id": 2729, "equation1": "x = (y * (z * w)) * (y * w)", "equation2": "x = ((y * x) * (z * w)) * y", "answer": true} |
| {"id": "normal_0882", "index": 882, "difficulty": "normal", "eq1_id": 3902, "eq2_id": 4085, "equation1": "x * x = (y * (z * y)) * y", "equation2": "x * x = ((y * x) * y) * z", "answer": false} |
| {"id": "normal_0883", "index": 883, "difficulty": "normal", "eq1_id": 2826, "eq2_id": 4511, "equation1": "x = ((y * z) * (w * y)) * x", "equation2": "x * (y * z) = (x * y) * y", "answer": false} |
| {"id": "normal_0884", "index": 884, "difficulty": "normal", "eq1_id": 3672, "eq2_id": 3866, "equation1": "x * x = (x * y) * (z * z)", "equation2": "x * x = (x * (x * y)) * z", "answer": false} |
| {"id": "normal_0885", "index": 885, "difficulty": "normal", "eq1_id": 3388, "eq2_id": 2506, "equation1": "x * y = z * (x * (z * y))", "equation2": "x = (y * ((x * y) * y)) * x", "answer": false} |
| {"id": "normal_0886", "index": 886, "difficulty": "normal", "eq1_id": 4206, "eq2_id": 4100, "equation1": "x * y = ((z * x) * w) * w", "equation2": "x * x = ((y * z) * x) * x", "answer": true} |
| {"id": "normal_0887", "index": 887, "difficulty": "normal", "eq1_id": 3332, "eq2_id": 3416, "equation1": "x * y = x * (z * (y * w))", "equation2": "x * y = z * (z * (x * w))", "answer": false} |
| {"id": "normal_0888", "index": 888, "difficulty": "normal", "eq1_id": 1520, "eq2_id": 1244, "equation1": "x = (y * y) * (x * (y * z))", "equation2": "x = x * (((y * x) * z) * x)", "answer": true} |
| {"id": "normal_0889", "index": 889, "difficulty": "normal", "eq1_id": 516, "eq2_id": 104, "equation1": "x = y * (y * (y * (z * x)))", "equation2": "x = x * ((y * x) * x)", "answer": false} |
| {"id": "normal_0890", "index": 890, "difficulty": "normal", "eq1_id": 136, "eq2_id": 3964, "equation1": "x = y * ((z * x) * z)", "equation2": "x * y = (y * (y * y)) * x", "answer": true} |
| {"id": "normal_0891", "index": 891, "difficulty": "normal", "eq1_id": 2177, "eq2_id": 3418, "equation1": "x = ((y * z) * x) * (w * u)", "equation2": "x * y = z * (z * (y * y))", "answer": true} |
| {"id": "normal_0892", "index": 892, "difficulty": "normal", "eq1_id": 3767, "eq2_id": 2226, "equation1": "x * y = (y * y) * (z * w)", "equation2": "x = ((y * z) * w) * (z * u)", "answer": false} |
| {"id": "normal_0893", "index": 893, "difficulty": "normal", "eq1_id": 3299, "eq2_id": 2889, "equation1": "x * x = y * (z * (z * w))", "equation2": "x = ((x * (y * z)) * y) * w", "answer": false} |
| {"id": "normal_0894", "index": 894, "difficulty": "normal", "eq1_id": 259, "eq2_id": 2792, "equation1": "x = ((x * x) * y) * z", "equation2": "x = ((y * z) * (y * y)) * y", "answer": false} |
| {"id": "normal_0895", "index": 895, "difficulty": "normal", "eq1_id": 2607, "eq2_id": 4557, "equation1": "x = (y * ((z * z) * y)) * z", "equation2": "x * (y * z) = (w * x) * x", "answer": true} |
| {"id": "normal_0896", "index": 896, "difficulty": "normal", "eq1_id": 544, "eq2_id": 2279, "equation1": "x = y * (z * (x * (y * w)))", "equation2": "x = (x * (y * (z * y))) * z", "answer": true} |
| {"id": "normal_0897", "index": 897, "difficulty": "normal", "eq1_id": 2578, "eq2_id": 2931, "equation1": "x = (y * ((z * x) * z)) * w", "equation2": "x = ((y * (x * z)) * w) * x", "answer": true} |
| {"id": "normal_0898", "index": 898, "difficulty": "normal", "eq1_id": 2546, "eq2_id": 170, "equation1": "x = (y * ((y * y) * z)) * x", "equation2": "x = (y * x) * (y * y)", "answer": false} |
| {"id": "normal_0899", "index": 899, "difficulty": "normal", "eq1_id": 550, "eq2_id": 2965, "equation1": "x = y * (z * (x * (w * y)))", "equation2": "x = ((y * (y * z)) * z) * y", "answer": true} |
| {"id": "normal_0900", "index": 900, "difficulty": "normal", "eq1_id": 4309, "eq2_id": 1382, "equation1": "x * (x * y) = z * (w * x)", "equation2": "x = y * (((z * y) * w) * u)", "answer": false} |
| {"id": "normal_0901", "index": 901, "difficulty": "normal", "eq1_id": 974, "eq2_id": 3963, "equation1": "x = y * ((z * y) * (w * z))", "equation2": "x * y = (y * (y * x)) * z", "answer": true} |
| {"id": "normal_0902", "index": 902, "difficulty": "normal", "eq1_id": 2353, "eq2_id": 3938, "equation1": "x = (y * (y * (z * y))) * z", "equation2": "x * y = (x * (z * y)) * x", "answer": true} |
| {"id": "normal_0903", "index": 903, "difficulty": "normal", "eq1_id": 3342, "eq2_id": 4216, "equation1": "x * y = y * (x * (x * x))", "equation2": "x * y = ((z * y) * z) * x", "answer": false} |
| {"id": "normal_0904", "index": 904, "difficulty": "normal", "eq1_id": 3987, "eq2_id": 547, "equation1": "x * y = (y * (z * w)) * u", "equation2": "x = y * (z * (x * (z * z)))", "answer": false} |
| {"id": "normal_0905", "index": 905, "difficulty": "normal", "eq1_id": 3979, "eq2_id": 1195, "equation1": "x * y = (y * (z * z)) * x", "equation2": "x = y * ((z * (z * w)) * w)", "answer": false} |
| {"id": "normal_0906", "index": 906, "difficulty": "normal", "eq1_id": 2698, "eq2_id": 944, "equation1": "x = ((y * x) * (x * x)) * z", "equation2": "x = y * ((z * x) * (x * y))", "answer": true} |
| {"id": "normal_0907", "index": 907, "difficulty": "normal", "eq1_id": 2864, "eq2_id": 2280, "equation1": "x = ((x * (y * x)) * x) * z", "equation2": "x = (x * (y * (z * y))) * w", "answer": false} |
| {"id": "normal_0908", "index": 908, "difficulty": "normal", "eq1_id": 2405, "eq2_id": 4681, "equation1": "x = (y * (z * (z * y))) * w", "equation2": "(x * y) * z = (y * w) * x", "answer": true} |
| {"id": "normal_0909", "index": 909, "difficulty": "normal", "eq1_id": 2119, "eq2_id": 1327, "equation1": "x = ((y * x) * z) * (w * x)", "equation2": "x = y * (((y * y) * y) * z)", "answer": false} |
| {"id": "normal_0910", "index": 910, "difficulty": "normal", "eq1_id": 2569, "eq2_id": 442, "equation1": "x = (y * ((z * x) * x)) * z", "equation2": "x = x * (y * (y * (z * x)))", "answer": true} |
| {"id": "normal_0911", "index": 911, "difficulty": "normal", "eq1_id": 1138, "eq2_id": 245, "equation1": "x = y * ((y * (z * z)) * y)", "equation2": "x = (y * (z * y)) * w", "answer": true} |
| {"id": "normal_0912", "index": 912, "difficulty": "normal", "eq1_id": 1537, "eq2_id": 2899, "equation1": "x = (y * y) * (z * (x * z))", "equation2": "x = ((y * (x * x)) * x) * x", "answer": false} |
| {"id": "normal_0913", "index": 913, "difficulty": "normal", "eq1_id": 2976, "eq2_id": 4646, "equation1": "x = ((y * (z * x)) * x) * w", "equation2": "(x * y) * x = (z * y) * y", "answer": true} |
| {"id": "normal_0914", "index": 914, "difficulty": "normal", "eq1_id": 4197, "eq2_id": 2041, "equation1": "x * y = ((z * x) * y) * z", "equation2": "x = ((x * x) * y) * (x * y)", "answer": false} |
| {"id": "normal_0915", "index": 915, "difficulty": "normal", "eq1_id": 1434, "eq2_id": 2496, "equation1": "x = (x * x) * (y * (y * x))", "equation2": "x = (y * ((x * x) * y)) * x", "answer": false} |
| {"id": "normal_0916", "index": 916, "difficulty": "normal", "eq1_id": 3624, "eq2_id": 2514, "equation1": "x * y = z * ((z * z) * x)", "equation2": "x = (y * ((x * z) * x)) * y", "answer": false} |
| {"id": "normal_0917", "index": 917, "difficulty": "normal", "eq1_id": 1164, "eq2_id": 4660, "equation1": "x = y * ((z * (y * x)) * y)", "equation2": "(x * y) * y = (y * z) * x", "answer": true} |
| {"id": "normal_0918", "index": 918, "difficulty": "normal", "eq1_id": 1379, "eq2_id": 2847, "equation1": "x = y * (((z * y) * w) * y)", "equation2": "x = ((x * (x * x)) * x) * x", "answer": true} |
| {"id": "normal_0919", "index": 919, "difficulty": "normal", "eq1_id": 1294, "eq2_id": 4664, "equation1": "x = y * (((x * y) * z) * w)", "equation2": "(x * y) * y = (z * x) * w", "answer": true} |
| {"id": "normal_0920", "index": 920, "difficulty": "normal", "eq1_id": 967, "eq2_id": 1276, "equation1": "x = y * ((z * y) * (y * w))", "equation2": "x = y * (((x * x) * x) * y)", "answer": true} |
| {"id": "normal_0921", "index": 921, "difficulty": "normal", "eq1_id": 2076, "eq2_id": 4052, "equation1": "x = ((x * y) * z) * (y * z)", "equation2": "x * y = (z * (w * z)) * w", "answer": false} |
| {"id": "normal_0922", "index": 922, "difficulty": "normal", "eq1_id": 1907, "eq2_id": 1680, "equation1": "x = (y * (x * z)) * (x * w)", "equation2": "x = (x * y) * ((z * w) * u)", "answer": true} |
| {"id": "normal_0923", "index": 923, "difficulty": "normal", "eq1_id": 13, "eq2_id": 2392, "equation1": "x = y * (x * x)", "equation2": "x = (y * (z * (y * z))) * w", "answer": false} |
| {"id": "normal_0924", "index": 924, "difficulty": "normal", "eq1_id": 1353, "eq2_id": 4568, "equation1": "x = y * (((z * x) * y) * x)", "equation2": "x * (y * z) = (w * z) * y", "answer": false} |
| {"id": "normal_0925", "index": 925, "difficulty": "normal", "eq1_id": 1771, "eq2_id": 178, "equation1": "x = (y * z) * ((x * w) * u)", "equation2": "x = (y * y) * (x * z)", "answer": true} |
| {"id": "normal_0926", "index": 926, "difficulty": "normal", "eq1_id": 1911, "eq2_id": 1557, "equation1": "x = (y * (x * z)) * (y * w)", "equation2": "x = (y * z) * (x * (y * y))", "answer": true} |
| {"id": "normal_0927", "index": 927, "difficulty": "normal", "eq1_id": 1683, "eq2_id": 3531, "equation1": "x = (y * x) * ((x * x) * z)", "equation2": "x * y = x * ((z * x) * w)", "answer": true} |
| {"id": "normal_0928", "index": 928, "difficulty": "normal", "eq1_id": 1124, "eq2_id": 3630, "equation1": "x = y * ((y * (y * y)) * z)", "equation2": "x * y = z * ((z * w) * z)", "answer": true} |
| {"id": "normal_0929", "index": 929, "difficulty": "normal", "eq1_id": 1576, "eq2_id": 1298, "equation1": "x = (y * z) * (y * (y * w))", "equation2": "x = y * (((x * z) * x) * w)", "answer": true} |
| {"id": "normal_0930", "index": 930, "difficulty": "normal", "eq1_id": 3173, "eq2_id": 443, "equation1": "x = (((y * y) * z) * w) * z", "equation2": "x = x * (y * (y * (z * y)))", "answer": true} |
| {"id": "normal_0931", "index": 931, "difficulty": "normal", "eq1_id": 949, "eq2_id": 4378, "equation1": "x = y * ((z * x) * (y * z))", "equation2": "x * (y * z) = w * (u * z)", "answer": false} |
| {"id": "normal_0932", "index": 932, "difficulty": "normal", "eq1_id": 116, "eq2_id": 3189, "equation1": "x = y * ((x * x) * z)", "equation2": "x = (((y * z) * x) * w) * y", "answer": true} |
| {"id": "normal_0933", "index": 933, "difficulty": "normal", "eq1_id": 4212, "eq2_id": 1310, "equation1": "x * y = ((z * y) * y) * x", "equation2": "x = y * (((x * z) * w) * w)", "answer": false} |
| {"id": "normal_0934", "index": 934, "difficulty": "normal", "eq1_id": 3382, "eq2_id": 3482, "equation1": "x * y = z * (x * (x * w))", "equation2": "x * x = y * ((y * x) * y)", "answer": true} |
| {"id": "normal_0935", "index": 935, "difficulty": "normal", "eq1_id": 4114, "eq2_id": 2214, "equation1": "x * x = ((y * z) * w) * z", "equation2": "x = ((y * z) * w) * (x * z)", "answer": false} |
| {"id": "normal_0936", "index": 936, "difficulty": "normal", "eq1_id": 387, "eq2_id": 4422, "equation1": "x * y = (y * y) * x", "equation2": "x * (x * y) = (z * y) * w", "answer": false} |
| {"id": "normal_0937", "index": 937, "difficulty": "normal", "eq1_id": 3062, "eq2_id": 323, "equation1": "x = (((x * x) * y) * z) * y", "equation2": "x * y = x * (x * y)", "answer": true} |
| {"id": "normal_0938", "index": 938, "difficulty": "normal", "eq1_id": 1356, "eq2_id": 76, "equation1": "x = y * (((z * x) * y) * w)", "equation2": "x = y * (y * (y * y))", "answer": true} |
| {"id": "normal_0939", "index": 939, "difficulty": "normal", "eq1_id": 4641, "eq2_id": 710, "equation1": "(x * y) * x = (y * z) * w", "equation2": "x = y * (y * ((x * z) * y))", "answer": false} |
| {"id": "normal_0940", "index": 940, "difficulty": "normal", "eq1_id": 553, "eq2_id": 3702, "equation1": "x = y * (z * (x * (w * u)))", "equation2": "x * x = (y * z) * (z * x)", "answer": true} |
| {"id": "normal_0941", "index": 941, "difficulty": "normal", "eq1_id": 1766, "eq2_id": 317, "equation1": "x = (y * z) * ((x * z) * w)", "equation2": "x * x = y * (y * z)", "answer": true} |
| {"id": "normal_0942", "index": 942, "difficulty": "normal", "eq1_id": 2607, "eq2_id": 1067, "equation1": "x = (y * ((z * z) * y)) * z", "equation2": "x = x * ((y * (z * w)) * x)", "answer": true} |
| {"id": "normal_0943", "index": 943, "difficulty": "normal", "eq1_id": 2139, "eq2_id": 3660, "equation1": "x = ((y * y) * y) * (y * z)", "equation2": "x * x = (x * x) * (x * y)", "answer": true} |
| {"id": "normal_0944", "index": 944, "difficulty": "normal", "eq1_id": 1222, "eq2_id": 3831, "equation1": "x = y * ((z * (w * u)) * v)", "equation2": "x * y = (z * z) * (w * x)", "answer": true} |
| {"id": "normal_0945", "index": 945, "difficulty": "normal", "eq1_id": 2768, "eq2_id": 2308, "equation1": "x = ((y * y) * (z * w)) * w", "equation2": "x = (y * (x * (y * z))) * z", "answer": true} |
| {"id": "normal_0946", "index": 946, "difficulty": "normal", "eq1_id": 1419, "eq2_id": 523, "equation1": "x = y * (((z * w) * w) * u)", "equation2": "x = y * (y * (z * (x * w)))", "answer": true} |
| {"id": "normal_0947", "index": 947, "difficulty": "normal", "eq1_id": 2999, "eq2_id": 3530, "equation1": "x = ((y * (z * y)) * z) * y", "equation2": "x * y = x * ((z * x) * z)", "answer": true} |
| {"id": "normal_0948", "index": 948, "difficulty": "normal", "eq1_id": 728, "eq2_id": 3265, "equation1": "x = y * (y * ((z * y) * y))", "equation2": "x * x = x * (y * (z * y))", "answer": true} |
| {"id": "normal_0949", "index": 949, "difficulty": "normal", "eq1_id": 892, "eq2_id": 1818, "equation1": "x = y * ((x * z) * (x * w))", "equation2": "x = (y * z) * ((w * z) * z)", "answer": true} |
| {"id": "normal_0950", "index": 950, "difficulty": "normal", "eq1_id": 3715, "eq2_id": 309, "equation1": "x * y = (x * x) * (y * y)", "equation2": "x * x = x * (y * x)", "answer": false} |
| {"id": "normal_0951", "index": 951, "difficulty": "normal", "eq1_id": 1614, "eq2_id": 2995, "equation1": "x = (y * z) * (w * (z * y))", "equation2": "x = ((y * (z * y)) * y) * y", "answer": true} |
| {"id": "normal_0952", "index": 952, "difficulty": "normal", "eq1_id": 2306, "eq2_id": 4421, "equation1": "x = (y * (x * (y * z))) * x", "equation2": "x * (x * y) = (z * y) * z", "answer": false} |
| {"id": "normal_0953", "index": 953, "difficulty": "normal", "eq1_id": 2810, "eq2_id": 2299, "equation1": "x = ((y * z) * (z * y)) * z", "equation2": "x = (y * (x * (x * z))) * w", "answer": true} |
| {"id": "normal_0954", "index": 954, "difficulty": "normal", "eq1_id": 3985, "eq2_id": 3277, "equation1": "x * y = (y * (z * w)) * z", "equation2": "x * x = y * (x * (z * w))", "answer": true} |
| {"id": "normal_0955", "index": 955, "difficulty": "normal", "eq1_id": 529, "eq2_id": 1728, "equation1": "x = y * (y * (z * (z * y)))", "equation2": "x = (y * y) * ((y * x) * x)", "answer": true} |
| {"id": "normal_0956", "index": 956, "difficulty": "normal", "eq1_id": 1682, "eq2_id": 825, "equation1": "x = (y * x) * ((x * x) * y)", "equation2": "x = x * ((x * y) * (y * x))", "answer": false} |
| {"id": "normal_0957", "index": 957, "difficulty": "normal", "eq1_id": 4615, "eq2_id": 2843, "equation1": "(x * x) * y = (z * x) * y", "equation2": "x = ((y * z) * (w * u)) * z", "answer": false} |
| {"id": "normal_0958", "index": 958, "difficulty": "normal", "eq1_id": 3626, "eq2_id": 1177, "equation1": "x * y = z * ((z * z) * z)", "equation2": "x = y * ((z * (y * w)) * z)", "answer": false} |
| {"id": "normal_0959", "index": 959, "difficulty": "normal", "eq1_id": 1360, "eq2_id": 3574, "equation1": "x = y * (((z * x) * z) * w)", "equation2": "x * y = y * ((z * z) * y)", "answer": true} |
| {"id": "normal_0960", "index": 960, "difficulty": "normal", "eq1_id": 1875, "eq2_id": 2374, "equation1": "x = (x * (y * z)) * (z * x)", "equation2": "x = (y * (z * (x * z))) * z", "answer": false} |
| {"id": "normal_0961", "index": 961, "difficulty": "normal", "eq1_id": 2152, "eq2_id": 2502, "equation1": "x = ((y * y) * z) * (z * x)", "equation2": "x = (y * ((x * x) * z)) * w", "answer": false} |
| {"id": "normal_0962", "index": 962, "difficulty": "normal", "eq1_id": 1600, "eq2_id": 250, "equation1": "x = (y * z) * (z * (w * z))", "equation2": "x = (y * (z * w)) * x", "answer": true} |
| {"id": "normal_0963", "index": 963, "difficulty": "normal", "eq1_id": 623, "eq2_id": 888, "equation1": "x = x * (x * ((y * y) * y))", "equation2": "x = y * ((x * y) * (z * w))", "answer": false} |
| {"id": "normal_0964", "index": 964, "difficulty": "normal", "eq1_id": 916, "eq2_id": 1679, "equation1": "x = y * ((y * y) * (x * x))", "equation2": "x = (x * y) * ((z * w) * w)", "answer": false} |
| {"id": "normal_0965", "index": 965, "difficulty": "normal", "eq1_id": 2363, "eq2_id": 3842, "equation1": "x = (y * (y * (z * w))) * u", "equation2": "x * y = (z * w) * (y * y)", "answer": true} |
| {"id": "normal_0966", "index": 966, "difficulty": "normal", "eq1_id": 1127, "eq2_id": 4183, "equation1": "x = y * ((y * (y * z)) * z)", "equation2": "x * y = ((y * z) * z) * y", "answer": true} |
| {"id": "normal_0967", "index": 967, "difficulty": "normal", "eq1_id": 812, "eq2_id": 930, "equation1": "x = y * (z * ((w * u) * y))", "equation2": "x = y * ((y * z) * (y * x))", "answer": true} |
| {"id": "normal_0968", "index": 968, "difficulty": "normal", "eq1_id": 2350, "eq2_id": 1375, "equation1": "x = (y * (y * (z * x))) * w", "equation2": "x = y * (((z * y) * z) * y)", "answer": true} |
| {"id": "normal_0969", "index": 969, "difficulty": "normal", "eq1_id": 407, "eq2_id": 597, "equation1": "x * y = (z * w) * y", "equation2": "x = y * (z * (w * (y * u)))", "answer": false} |
| {"id": "normal_0970", "index": 970, "difficulty": "normal", "eq1_id": 429, "eq2_id": 1177, "equation1": "x = x * (y * (x * (y * x)))", "equation2": "x = y * ((z * (y * w)) * z)", "answer": false} |
| {"id": "normal_0971", "index": 971, "difficulty": "normal", "eq1_id": 1904, "eq2_id": 3349, "equation1": "x = (y * (x * z)) * (x * x)", "equation2": "x * y = y * (x * (z * y))", "answer": false} |
| {"id": "normal_0972", "index": 972, "difficulty": "normal", "eq1_id": 613, "eq2_id": 3285, "equation1": "x = y * (z * (w * (u * v)))", "equation2": "x * x = y * (y * (z * y))", "answer": true} |
| {"id": "normal_0973", "index": 973, "difficulty": "normal", "eq1_id": 665, "eq2_id": 4600, "equation1": "x = x * (y * ((z * w) * u))", "equation2": "(x * x) * y = (x * y) * z", "answer": true} |
| {"id": "normal_0974", "index": 974, "difficulty": "normal", "eq1_id": 955, "eq2_id": 3066, "equation1": "x = y * ((z * x) * (w * x))", "equation2": "x = (((x * y) * x) * x) * y", "answer": false} |
| {"id": "normal_0975", "index": 975, "difficulty": "normal", "eq1_id": 3906, "eq2_id": 3517, "equation1": "x * x = (y * (z * z)) * y", "equation2": "x * y = x * ((x * z) * w)", "answer": false} |
| {"id": "normal_0976", "index": 976, "difficulty": "normal", "eq1_id": 231, "eq2_id": 953, "equation1": "x = (y * (y * y)) * x", "equation2": "x = y * ((z * x) * (z * z))", "answer": false} |
| {"id": "normal_0977", "index": 977, "difficulty": "normal", "eq1_id": 3131, "eq2_id": 4660, "equation1": "x = (((y * x) * z) * z) * y", "equation2": "(x * y) * y = (y * z) * x", "answer": false} |
| {"id": "normal_0978", "index": 978, "difficulty": "normal", "eq1_id": 2237, "eq2_id": 905, "equation1": "x = ((y * z) * w) * (u * v)", "equation2": "x = y * ((x * z) * (w * u))", "answer": true} |
| {"id": "normal_0979", "index": 979, "difficulty": "normal", "eq1_id": 1633, "eq2_id": 3648, "equation1": "x = (x * x) * ((x * y) * z)", "equation2": "x * y = z * ((w * w) * x)", "answer": false} |
| {"id": "normal_0980", "index": 980, "difficulty": "normal", "eq1_id": 958, "eq2_id": 2254, "equation1": "x = y * ((z * x) * (w * w))", "equation2": "x = (x * (y * (x * x))) * y", "answer": true} |
| {"id": "normal_0981", "index": 981, "difficulty": "normal", "eq1_id": 1733, "eq2_id": 1030, "equation1": "x = (y * y) * ((y * y) * z)", "equation2": "x = x * ((x * (y * y)) * z)", "answer": true} |
| {"id": "normal_0982", "index": 982, "difficulty": "normal", "eq1_id": 3735, "eq2_id": 1376, "equation1": "x * y = (x * z) * (y * x)", "equation2": "x = y * (((z * y) * z) * z)", "answer": false} |
| {"id": "normal_0983", "index": 983, "difficulty": "normal", "eq1_id": 193, "eq2_id": 558, "equation1": "x = (y * z) * (y * w)", "equation2": "x = y * (z * (y * (y * x)))", "answer": true} |
| {"id": "normal_0984", "index": 984, "difficulty": "normal", "eq1_id": 1505, "eq2_id": 2294, "equation1": "x = (y * x) * (z * (y * w))", "equation2": "x = (y * (x * (x * y))) * y", "answer": true} |
| {"id": "normal_0985", "index": 985, "difficulty": "normal", "eq1_id": 3760, "eq2_id": 2688, "equation1": "x * y = (y * y) * (x * z)", "equation2": "x = ((x * y) * (z * z)) * y", "answer": false} |
| {"id": "normal_0986", "index": 986, "difficulty": "normal", "eq1_id": 3165, "eq2_id": 3942, "equation1": "x = (((y * y) * z) * y) * z", "equation2": "x * y = (x * (z * z)) * x", "answer": true} |
| {"id": "normal_0987", "index": 987, "difficulty": "normal", "eq1_id": 4570, "eq2_id": 3647, "equation1": "x * (y * z) = (w * z) * w", "equation2": "x * y = z * ((w * z) * u)", "answer": false} |
| {"id": "normal_0988", "index": 988, "difficulty": "normal", "eq1_id": 1822, "eq2_id": 1124, "equation1": "x = (y * z) * ((w * w) * y)", "equation2": "x = y * ((y * (y * y)) * z)", "answer": true} |
| {"id": "normal_0989", "index": 989, "difficulty": "normal", "eq1_id": 1266, "eq2_id": 4275, "equation1": "x = x * (((y * z) * z) * x)", "equation2": "x * (x * x) = y * (y * x)", "answer": false} |
| {"id": "normal_0990", "index": 990, "difficulty": "normal", "eq1_id": 4489, "eq2_id": 4079, "equation1": "x * (y * y) = (z * x) * x", "equation2": "x * x = ((x * y) * z) * w", "answer": false} |
| {"id": "normal_0991", "index": 991, "difficulty": "normal", "eq1_id": 1945, "eq2_id": 3298, "equation1": "x = (y * (y * z)) * (y * x)", "equation2": "x * x = y * (z * (z * z))", "answer": false} |
| {"id": "normal_0992", "index": 992, "difficulty": "normal", "eq1_id": 1714, "eq2_id": 3401, "equation1": "x = (y * x) * ((z * w) * y)", "equation2": "x * y = z * (y * (y * y))", "answer": true} |
| {"id": "normal_0993", "index": 993, "difficulty": "normal", "eq1_id": 415, "eq2_id": 964, "equation1": "x = x * (x * (x * (y * z)))", "equation2": "x = y * ((z * y) * (y * x))", "answer": false} |
| {"id": "normal_0994", "index": 994, "difficulty": "normal", "eq1_id": 3060, "eq2_id": 1049, "equation1": "x = (((x * x) * y) * y) * z", "equation2": "x = x * ((y * (y * y)) * y)", "answer": false} |
| {"id": "normal_0995", "index": 995, "difficulty": "normal", "eq1_id": 2720, "eq2_id": 1352, "equation1": "x = ((y * x) * (z * y)) * x", "equation2": "x = y * (((z * x) * x) * w)", "answer": false} |
| {"id": "normal_0996", "index": 996, "difficulty": "normal", "eq1_id": 3335, "eq2_id": 2122, "equation1": "x * y = x * (z * (z * z))", "equation2": "x = ((y * x) * z) * (w * w)", "answer": false} |
| {"id": "normal_0997", "index": 997, "difficulty": "normal", "eq1_id": 1560, "eq2_id": 3890, "equation1": "x = (y * z) * (x * (z * x))", "equation2": "x * x = (y * (y * y)) * x", "answer": false} |
| {"id": "normal_0998", "index": 998, "difficulty": "normal", "eq1_id": 2627, "eq2_id": 3417, "equation1": "x = (y * ((z * w) * y)) * u", "equation2": "x * y = z * (z * (y * x))", "answer": true} |
| {"id": "normal_0999", "index": 999, "difficulty": "normal", "eq1_id": 2303, "eq2_id": 3682, "equation1": "x = (y * (x * (y * y))) * x", "equation2": "x * x = (y * x) * (z * z)", "answer": false} |
| {"id": "normal_1000", "index": 1000, "difficulty": "normal", "eq1_id": 525, "eq2_id": 2885, "equation1": "x = y * (y * (z * (y * y)))", "equation2": "x = ((x * (y * z)) * x) * w", "answer": true} |
|
|
