| {"id": "hard2_0001", "index": 1, "difficulty": "hard", "eq1_id": 4538, "eq2_id": 4505, "equation1": "x * (y * z) = (y * w) * w", "equation2": "x * (y * y) = (z * w) * u", "answer": false} |
| {"id": "hard2_0002", "index": 2, "difficulty": "hard", "eq1_id": 1119, "eq2_id": 1979, "equation1": "x = y * ((y * (y * x)) * x)", "equation2": "x = (y * (z * y)) * (y * x)", "answer": false} |
| {"id": "hard2_0003", "index": 3, "difficulty": "hard", "eq1_id": 3348, "eq2_id": 3972, "equation1": "x * y = y * (x * (z * x))", "equation2": "x * y = (y * (z * x)) * y", "answer": true} |
| {"id": "hard2_0004", "index": 4, "difficulty": "hard", "eq1_id": 3141, "eq2_id": 1091, "equation1": "x = (((y * y) * x) * x) * z", "equation2": "x = y * ((x * (y * z)) * w)", "answer": true} |
| {"id": "hard2_0005", "index": 5, "difficulty": "hard", "eq1_id": 1181, "eq2_id": 2449, "equation1": "x = y * ((z * (z * x)) * y)", "equation2": "x = (x * ((x * y) * y)) * x", "answer": true} |
| {"id": "hard2_0006", "index": 6, "difficulty": "hard", "eq1_id": 540, "eq2_id": 2128, "equation1": "x = y * (z * (x * (x * w)))", "equation2": "x = ((y * y) * x) * (y * y)", "answer": true} |
| {"id": "hard2_0007", "index": 7, "difficulty": "hard", "eq1_id": 4422, "eq2_id": 4296, "equation1": "x * (x * y) = (z * y) * w", "equation2": "x * (x * y) = y * (z * y)", "answer": false} |
| {"id": "hard2_0008", "index": 8, "difficulty": "hard", "eq1_id": 470, "eq2_id": 622, "equation1": "x = y * (x * (x * (z * y)))", "equation2": "x = x * (x * ((y * y) * x))", "answer": true} |
| {"id": "hard2_0009", "index": 9, "difficulty": "hard", "eq1_id": 898, "eq2_id": 2673, "equation1": "x = y * ((x * z) * (z * y))", "equation2": "x = ((x * y) * (y * y)) * y", "answer": false} |
| {"id": "hard2_0010", "index": 10, "difficulty": "hard", "eq1_id": 1648, "eq2_id": 2239, "equation1": "x = (x * y) * ((x * y) * y)", "equation2": "x = (x * (x * (x * x))) * y", "answer": false} |
| {"id": "hard2_0011", "index": 11, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 249, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x = (y * (z * z)) * w", "answer": false} |
| {"id": "hard2_0012", "index": 12, "difficulty": "hard", "eq1_id": 1368, "eq2_id": 4612, "equation1": "x = y * (((z * y) * x) * z)", "equation2": "(x * x) * y = (y * z) * z", "answer": false} |
| {"id": "hard2_0013", "index": 13, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 1230, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = x * (((x * y) * x) * z)", "answer": false} |
| {"id": "hard2_0014", "index": 14, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 4684, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "(x * y) * z = (z * y) * x", "answer": false} |
| {"id": "hard2_0015", "index": 15, "difficulty": "hard", "eq1_id": 3913, "eq2_id": 3820, "equation1": "x * x = (y * (z * w)) * u", "equation2": "x * y = (z * z) * (x * y)", "answer": false} |
| {"id": "hard2_0016", "index": 16, "difficulty": "hard", "eq1_id": 646, "eq2_id": 4127, "equation1": "x = x * (y * ((y * z) * y))", "equation2": "x * y = ((x * y) * x) * x", "answer": false} |
| {"id": "hard2_0017", "index": 17, "difficulty": "hard", "eq1_id": 478, "eq2_id": 3034, "equation1": "x = y * (x * (y * (y * z)))", "equation2": "x = ((y * (z * w)) * z) * x", "answer": true} |
| {"id": "hard2_0018", "index": 18, "difficulty": "hard", "eq1_id": 1033, "eq2_id": 49, "equation1": "x = x * ((x * (y * z)) * z)", "equation2": "x = x * (x * (y * x))", "answer": true} |
| {"id": "hard2_0019", "index": 19, "difficulty": "hard", "eq1_id": 3162, "eq2_id": 4158, "equation1": "x = (((y * y) * z) * x) * w", "equation2": "x * y = ((y * x) * y) * y", "answer": true} |
| {"id": "hard2_0020", "index": 20, "difficulty": "hard", "eq1_id": 4373, "eq2_id": 4655, "equation1": "x * (y * z) = z * (w * u)", "equation2": "(x * y) * y = (x * z) * y", "answer": false} |
| {"id": "hard2_0021", "index": 21, "difficulty": "hard", "eq1_id": 3577, "eq2_id": 4618, "equation1": "x * y = y * ((z * w) * x)", "equation2": "(x * x) * y = (z * y) * x", "answer": true} |
| {"id": "hard2_0022", "index": 22, "difficulty": "hard", "eq1_id": 1294, "eq2_id": 2496, "equation1": "x = y * (((x * y) * z) * w)", "equation2": "x = (y * ((x * x) * y)) * x", "answer": true} |
| {"id": "hard2_0023", "index": 23, "difficulty": "hard", "eq1_id": 54, "eq2_id": 2488, "equation1": "x = x * (y * (x * z))", "equation2": "x = (x * ((y * z) * w)) * x", "answer": true} |
| {"id": "hard2_0024", "index": 24, "difficulty": "hard", "eq1_id": 82, "eq2_id": 709, "equation1": "x = y * (z * (x * x))", "equation2": "x = y * (y * ((x * z) * x))", "answer": true} |
| {"id": "hard2_0025", "index": 25, "difficulty": "hard", "eq1_id": 3532, "eq2_id": 3309, "equation1": "x * y = x * ((z * y) * x)", "equation2": "x * y = x * (x * (y * y))", "answer": false} |
| {"id": "hard2_0026", "index": 26, "difficulty": "hard", "eq1_id": 3126, "eq2_id": 2652, "equation1": "x = (((y * x) * z) * y) * x", "equation2": "x = ((x * x) * (y * y)) * x", "answer": true} |
| {"id": "hard2_0027", "index": 27, "difficulty": "hard", "eq1_id": 1167, "eq2_id": 1763, "equation1": "x = y * ((z * (y * y)) * x)", "equation2": "x = (y * z) * ((x * z) * x)", "answer": false} |
| {"id": "hard2_0028", "index": 28, "difficulty": "hard", "eq1_id": 3561, "eq2_id": 4195, "equation1": "x * y = y * ((y * z) * x)", "equation2": "x * y = ((z * x) * y) * x", "answer": true} |
| {"id": "hard2_0029", "index": 29, "difficulty": "hard", "eq1_id": 4164, "eq2_id": 3927, "equation1": "x * y = ((y * y) * x) * x", "equation2": "x * y = (x * (y * y)) * x", "answer": false} |
| {"id": "hard2_0030", "index": 30, "difficulty": "hard", "eq1_id": 697, "eq2_id": 4158, "equation1": "x = y * (x * ((z * z) * w))", "equation2": "x * y = ((y * x) * y) * y", "answer": true} |
| {"id": "hard2_0031", "index": 31, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 3046, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x = ((y * (z * w)) * u) * z", "answer": false} |
| {"id": "hard2_0032", "index": 32, "difficulty": "hard", "eq1_id": 4001, "eq2_id": 3890, "equation1": "x * y = (z * (x * w)) * y", "equation2": "x * x = (y * (y * y)) * x", "answer": false} |
| {"id": "hard2_0033", "index": 33, "difficulty": "hard", "eq1_id": 1147, "eq2_id": 2511, "equation1": "x = y * ((z * (x * x)) * y)", "equation2": "x = (y * ((x * y) * z)) * z", "answer": true} |
| {"id": "hard2_0034", "index": 34, "difficulty": "hard", "eq1_id": 3959, "eq2_id": 3573, "equation1": "x * y = (y * (x * z)) * z", "equation2": "x * y = y * ((z * z) * x)", "answer": false} |
| {"id": "hard2_0035", "index": 35, "difficulty": "hard", "eq1_id": 2705, "eq2_id": 2306, "equation1": "x = ((y * x) * (x * z)) * w", "equation2": "x = (y * (x * (y * z))) * x", "answer": true} |
| {"id": "hard2_0036", "index": 36, "difficulty": "hard", "eq1_id": 1961, "eq2_id": 3155, "equation1": "x = (y * (z * x)) * (x * w)", "equation2": "x = (((y * y) * y) * z) * x", "answer": true} |
| {"id": "hard2_0037", "index": 37, "difficulty": "hard", "eq1_id": 3242, "eq2_id": 1251, "equation1": "x = (((y * z) * w) * w) * x", "equation2": "x = x * (((y * y) * y) * x)", "answer": true} |
| {"id": "hard2_0038", "index": 38, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 519, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x = y * (y * (y * (z * w)))", "answer": false} |
| {"id": "hard2_0039", "index": 39, "difficulty": "hard", "eq1_id": 1111, "eq2_id": 2891, "equation1": "x = y * ((y * (x * x)) * z)", "equation2": "x = ((x * (y * z)) * z) * y", "answer": true} |
| {"id": "hard2_0040", "index": 40, "difficulty": "hard", "eq1_id": 685, "eq2_id": 49, "equation1": "x = y * (x * ((y * z) * w))", "equation2": "x = x * (x * (y * x))", "answer": true} |
| {"id": "hard2_0041", "index": 41, "difficulty": "hard", "eq1_id": 1112, "eq2_id": 1847, "equation1": "x = y * ((y * (x * y)) * x)", "equation2": "x = (x * (y * x)) * (x * x)", "answer": false} |
| {"id": "hard2_0042", "index": 42, "difficulty": "hard", "eq1_id": 4468, "eq2_id": 4560, "equation1": "x * (y * x) = (z * w) * u", "equation2": "x * (y * z) = (w * x) * w", "answer": false} |
| {"id": "hard2_0043", "index": 43, "difficulty": "hard", "eq1_id": 2856, "eq2_id": 4315, "equation1": "x = ((x * (x * y)) * y) * y", "equation2": "x * (y * x) = x * (y * z)", "answer": false} |
| {"id": "hard2_0044", "index": 44, "difficulty": "hard", "eq1_id": 2604, "eq2_id": 2677, "equation1": "x = (y * ((z * z) * x)) * w", "equation2": "x = ((x * y) * (y * z)) * z", "answer": true} |
| {"id": "hard2_0045", "index": 45, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 3515, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * y = x * ((x * z) * y)", "answer": false} |
| {"id": "hard2_0046", "index": 46, "difficulty": "hard", "eq1_id": 4692, "eq2_id": 4281, "equation1": "(x * y) * z = (w * z) * u", "equation2": "x * (x * x) = y * (z * w)", "answer": false} |
| {"id": "hard2_0047", "index": 47, "difficulty": "hard", "eq1_id": 3958, "eq2_id": 4067, "equation1": "x * y = (y * (x * z)) * y", "equation2": "x * x = ((x * x) * y) * x", "answer": false} |
| {"id": "hard2_0048", "index": 48, "difficulty": "hard", "eq1_id": 4690, "eq2_id": 4299, "equation1": "(x * y) * z = (w * y) * u", "equation2": "x * (x * y) = z * (x * x)", "answer": false} |
| {"id": "hard2_0049", "index": 49, "difficulty": "hard", "eq1_id": 1401, "eq2_id": 629, "equation1": "x = y * (((z * w) * x) * y)", "equation2": "x = x * (y * ((x * x) * x))", "answer": true} |
| {"id": "hard2_0050", "index": 50, "difficulty": "hard", "eq1_id": 136, "eq2_id": 3019, "equation1": "x = y * ((z * x) * z)", "equation2": "x = ((y * (z * z)) * w) * x", "answer": true} |
| {"id": "hard2_0051", "index": 51, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 4307, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x * (x * y) = z * (z * y)", "answer": false} |
| {"id": "hard2_0052", "index": 52, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 459, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x = x * (y * (z * (w * y)))", "answer": false} |
| {"id": "hard2_0053", "index": 53, "difficulty": "hard", "eq1_id": 485, "eq2_id": 2128, "equation1": "x = y * (x * (z * (x * z)))", "equation2": "x = ((y * y) * x) * (y * y)", "answer": true} |
| {"id": "hard2_0054", "index": 54, "difficulty": "hard", "eq1_id": 4683, "eq2_id": 4495, "equation1": "(x * y) * z = (y * w) * u", "equation2": "x * (y * y) = (z * y) * z", "answer": false} |
| {"id": "hard2_0055", "index": 55, "difficulty": "hard", "eq1_id": 4468, "eq2_id": 4295, "equation1": "x * (y * x) = (z * w) * u", "equation2": "x * (x * y) = y * (z * x)", "answer": false} |
| {"id": "hard2_0056", "index": 56, "difficulty": "hard", "eq1_id": 1119, "eq2_id": 2207, "equation1": "x = y * ((y * (y * x)) * x)", "equation2": "x = ((y * z) * z) * (w * x)", "answer": false} |
| {"id": "hard2_0057", "index": 57, "difficulty": "hard", "eq1_id": 1212, "eq2_id": 2182, "equation1": "x = y * ((z * (w * w)) * x)", "equation2": "x = ((y * z) * y) * (y * x)", "answer": true} |
| {"id": "hard2_0058", "index": 58, "difficulty": "hard", "eq1_id": 1807, "eq2_id": 2385, "equation1": "x = (y * z) * ((w * x) * y)", "equation2": "x = (y * (z * (y * y))) * x", "answer": true} |
| {"id": "hard2_0059", "index": 59, "difficulty": "hard", "eq1_id": 1501, "eq2_id": 1073, "equation1": "x = (y * x) * (z * (x * w))", "equation2": "x = y * ((x * (x * x)) * y)", "answer": true} |
| {"id": "hard2_0060", "index": 60, "difficulty": "hard", "eq1_id": 636, "eq2_id": 1070, "equation1": "x = x * (y * ((x * z) * y))", "equation2": "x = x * ((y * (z * w)) * w)", "answer": true} |
| {"id": "hard2_0061", "index": 61, "difficulty": "hard", "eq1_id": 1283, "eq2_id": 722, "equation1": "x = y * (((x * x) * z) * z)", "equation2": "x = y * (y * ((y * z) * w))", "answer": true} |
| {"id": "hard2_0062", "index": 62, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 4267, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * y = ((z * w) * u) * v", "answer": false} |
| {"id": "hard2_0063", "index": 63, "difficulty": "hard", "eq1_id": 84, "eq2_id": 680, "equation1": "x = y * (z * (x * z))", "equation2": "x = y * (x * ((y * y) * y))", "answer": true} |
| {"id": "hard2_0064", "index": 64, "difficulty": "hard", "eq1_id": 1587, "eq2_id": 562, "equation1": "x = (y * z) * (z * (x * y))", "equation2": "x = y * (z * (y * (z * x)))", "answer": false} |
| {"id": "hard2_0065", "index": 65, "difficulty": "hard", "eq1_id": 3396, "eq2_id": 3928, "equation1": "x * y = z * (y * (x * x))", "equation2": "x * y = (x * (y * y)) * y", "answer": true} |
| {"id": "hard2_0066", "index": 66, "difficulty": "hard", "eq1_id": 1716, "eq2_id": 2469, "equation1": "x = (y * x) * ((z * w) * w)", "equation2": "x = (x * ((y * y) * y)) * x", "answer": true} |
| {"id": "hard2_0067", "index": 67, "difficulty": "hard", "eq1_id": 2116, "eq2_id": 1932, "equation1": "x = ((y * x) * z) * (z * y)", "equation2": "x = (y * (y * y)) * (x * y)", "answer": false} |
| {"id": "hard2_0068", "index": 68, "difficulty": "hard", "eq1_id": 4431, "eq2_id": 4362, "equation1": "x * (x * y) = (z * w) * u", "equation2": "x * (y * z) = y * (x * z)", "answer": false} |
| {"id": "hard2_0069", "index": 69, "difficulty": "hard", "eq1_id": 1317, "eq2_id": 1021, "equation1": "x = y * (((y * x) * y) * z)", "equation2": "x = x * ((x * (x * x)) * y)", "answer": true} |
| {"id": "hard2_0070", "index": 70, "difficulty": "hard", "eq1_id": 3358, "eq2_id": 3944, "equation1": "x * y = y * (y * (z * x))", "equation2": "x * y = (x * (z * z)) * z", "answer": true} |
| {"id": "hard2_0071", "index": 71, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 3408, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * y = z * (y * (w * x))", "answer": false} |
| {"id": "hard2_0072", "index": 72, "difficulty": "hard", "eq1_id": 2908, "eq2_id": 1198, "equation1": "x = ((y * (x * x)) * z) * w", "equation2": "x = y * ((z * (w * x)) * y)", "answer": true} |
| {"id": "hard2_0073", "index": 73, "difficulty": "hard", "eq1_id": 2920, "eq2_id": 1248, "equation1": "x = ((y * (x * z)) * x) * y", "equation2": "x = x * (((y * y) * x) * x)", "answer": true} |
| {"id": "hard2_0074", "index": 74, "difficulty": "hard", "eq1_id": 1603, "eq2_id": 782, "equation1": "x = (y * z) * (w * (x * x))", "equation2": "x = y * (z * ((z * z) * x))", "answer": true} |
| {"id": "hard2_0075", "index": 75, "difficulty": "hard", "eq1_id": 3010, "eq2_id": 2349, "equation1": "x = ((y * (z * z)) * x) * w", "equation2": "x = (y * (y * (z * x))) * z", "answer": true} |
| {"id": "hard2_0076", "index": 76, "difficulty": "hard", "eq1_id": 4653, "eq2_id": 4429, "equation1": "(x * y) * x = (z * w) * u", "equation2": "x * (x * y) = (z * w) * z", "answer": false} |
| {"id": "hard2_0077", "index": 77, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 3065, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = (((x * y) * x) * x) * x", "answer": false} |
| {"id": "hard2_0078", "index": 78, "difficulty": "hard", "eq1_id": 3550, "eq2_id": 4088, "equation1": "x * y = y * ((x * y) * z)", "equation2": "x * x = ((y * x) * z) * z", "answer": true} |
| {"id": "hard2_0079", "index": 79, "difficulty": "hard", "eq1_id": 2307, "eq2_id": 680, "equation1": "x = (y * (x * (y * z))) * y", "equation2": "x = y * (x * ((y * y) * y))", "answer": true} |
| {"id": "hard2_0080", "index": 80, "difficulty": "hard", "eq1_id": 2788, "eq2_id": 632, "equation1": "x = ((y * z) * (y * x)) * y", "equation2": "x = x * (y * ((x * y) * x))", "answer": true} |
| {"id": "hard2_0081", "index": 81, "difficulty": "hard", "eq1_id": 2299, "eq2_id": 633, "equation1": "x = (y * (x * (x * z))) * w", "equation2": "x = x * (y * ((x * y) * y))", "answer": true} |
| {"id": "hard2_0082", "index": 82, "difficulty": "hard", "eq1_id": 3577, "eq2_id": 3798, "equation1": "x * y = y * ((z * w) * x)", "equation2": "x * y = (z * x) * (w * y)", "answer": true} |
| {"id": "hard2_0083", "index": 83, "difficulty": "hard", "eq1_id": 2178, "eq2_id": 3431, "equation1": "x = ((y * z) * y) * (x * x)", "equation2": "x * y = z * (w * (x * y))", "answer": true} |
| {"id": "hard2_0084", "index": 84, "difficulty": "hard", "eq1_id": 4545, "eq2_id": 4534, "equation1": "x * (y * z) = (z * y) * y", "equation2": "x * (y * z) = (y * z) * w", "answer": false} |
| {"id": "hard2_0085", "index": 85, "difficulty": "hard", "eq1_id": 2786, "eq2_id": 3105, "equation1": "x = ((y * z) * (x * w)) * u", "equation2": "x = (((y * x) * x) * y) * x", "answer": true} |
| {"id": "hard2_0086", "index": 86, "difficulty": "hard", "eq1_id": 2604, "eq2_id": 1316, "equation1": "x = (y * ((z * z) * x)) * w", "equation2": "x = y * (((y * x) * y) * y)", "answer": true} |
| {"id": "hard2_0087", "index": 87, "difficulty": "hard", "eq1_id": 4422, "eq2_id": 4297, "equation1": "x * (x * y) = (z * y) * w", "equation2": "x * (x * y) = y * (z * z)", "answer": false} |
| {"id": "hard2_0088", "index": 88, "difficulty": "hard", "eq1_id": 206, "eq2_id": 4358, "equation1": "x = (x * (x * y)) * y", "equation2": "x * (y * z) = x * (z * y)", "answer": false} |
| {"id": "hard2_0089", "index": 89, "difficulty": "hard", "eq1_id": 1284, "eq2_id": 2435, "equation1": "x = y * (((x * x) * z) * w)", "equation2": "x = (y * (z * (w * u))) * x", "answer": true} |
| {"id": "hard2_0090", "index": 90, "difficulty": "hard", "eq1_id": 3958, "eq2_id": 4128, "equation1": "x * y = (y * (x * z)) * y", "equation2": "x * y = ((x * y) * x) * y", "answer": false} |
| {"id": "hard2_0091", "index": 91, "difficulty": "hard", "eq1_id": 1298, "eq2_id": 2948, "equation1": "x = y * (((x * z) * x) * w)", "equation2": "x = ((y * (y * y)) * x) * z", "answer": true} |
| {"id": "hard2_0092", "index": 92, "difficulty": "hard", "eq1_id": 4581, "eq2_id": 4539, "equation1": "x * (y * z) = (w * u) * u", "equation2": "x * (y * z) = (y * w) * u", "answer": false} |
| {"id": "hard2_0093", "index": 93, "difficulty": "hard", "eq1_id": 1518, "eq2_id": 3915, "equation1": "x = (y * y) * (x * (y * x))", "equation2": "x * y = (x * (x * x)) * y", "answer": false} |
| {"id": "hard2_0094", "index": 94, "difficulty": "hard", "eq1_id": 1074, "eq2_id": 2083, "equation1": "x = y * ((x * (x * x)) * z)", "equation2": "x = ((x * y) * z) * (w * y)", "answer": true} |
| {"id": "hard2_0095", "index": 95, "difficulty": "hard", "eq1_id": 1184, "eq2_id": 3962, "equation1": "x = y * ((z * (z * y)) * x)", "equation2": "x * y = (y * (y * x)) * y", "answer": false} |
| {"id": "hard2_0096", "index": 96, "difficulty": "hard", "eq1_id": 964, "eq2_id": 4192, "equation1": "x = y * ((z * y) * (y * x))", "equation2": "x * y = ((z * x) * x) * y", "answer": false} |
| {"id": "hard2_0097", "index": 97, "difficulty": "hard", "eq1_id": 2248, "eq2_id": 4079, "equation1": "x = (x * (x * (y * y))) * z", "equation2": "x * x = ((x * y) * z) * w", "answer": true} |
| {"id": "hard2_0098", "index": 98, "difficulty": "hard", "eq1_id": 2307, "eq2_id": 1109, "equation1": "x = (y * (x * (y * z))) * y", "equation2": "x = y * ((y * (x * x)) * x)", "answer": true} |
| {"id": "hard2_0099", "index": 99, "difficulty": "hard", "eq1_id": 691, "eq2_id": 2812, "equation1": "x = y * (x * ((z * y) * y))", "equation2": "x = ((y * z) * (z * z)) * x", "answer": true} |
| {"id": "hard2_0100", "index": 100, "difficulty": "hard", "eq1_id": 2450, "eq2_id": 4130, "equation1": "x = (x * ((x * y) * y)) * y", "equation2": "x * y = ((x * y) * y) * x", "answer": false} |
| {"id": "hard2_0101", "index": 101, "difficulty": "hard", "eq1_id": 126, "eq2_id": 50, "equation1": "x = y * ((y * x) * z)", "equation2": "x = x * (x * (y * y))", "answer": true} |
| {"id": "hard2_0102", "index": 102, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 2985, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = ((y * (z * x)) * w) * x", "answer": false} |
| {"id": "hard2_0103", "index": 103, "difficulty": "hard", "eq1_id": 3568, "eq2_id": 3866, "equation1": "x * y = y * ((z * x) * w)", "equation2": "x * x = (x * (x * y)) * z", "answer": true} |
| {"id": "hard2_0104", "index": 104, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 3968, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x * y = (y * (y * z)) * y", "answer": false} |
| {"id": "hard2_0105", "index": 105, "difficulty": "hard", "eq1_id": 1119, "eq2_id": 4291, "equation1": "x = y * ((y * (y * x)) * x)", "equation2": "x * (x * y) = y * (x * y)", "answer": false} |
| {"id": "hard2_0106", "index": 106, "difficulty": "hard", "eq1_id": 3151, "eq2_id": 3049, "equation1": "x = (((y * y) * y) * x) * z", "equation2": "x = ((y * (z * w)) * u) * v", "answer": true} |
| {"id": "hard2_0107", "index": 107, "difficulty": "hard", "eq1_id": 1941, "eq2_id": 1038, "equation1": "x = (y * (y * z)) * (x * x)", "equation2": "x = x * ((y * (x * y)) * x)", "answer": true} |
| {"id": "hard2_0108", "index": 108, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 4579, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * (y * z) = (w * u) * z", "answer": false} |
| {"id": "hard2_0109", "index": 109, "difficulty": "hard", "eq1_id": 1483, "eq2_id": 4472, "equation1": "x = (y * x) * (x * (y * z))", "equation2": "x * (y * y) = (x * y) * x", "answer": false} |
| {"id": "hard2_0110", "index": 110, "difficulty": "hard", "eq1_id": 1349, "eq2_id": 1022, "equation1": "x = y * (((z * x) * x) * x)", "equation2": "x = x * ((x * (x * y)) * x)", "answer": true} |
| {"id": "hard2_0111", "index": 111, "difficulty": "hard", "eq1_id": 2539, "eq2_id": 3870, "equation1": "x = (y * ((y * x) * z)) * w", "equation2": "x * x = (x * (y * y)) * x", "answer": true} |
| {"id": "hard2_0112", "index": 112, "difficulty": "hard", "eq1_id": 3076, "eq2_id": 3467, "equation1": "x = (((x * y) * y) * x) * y", "equation2": "x * x = x * ((y * z) * x)", "answer": false} |
| {"id": "hard2_0113", "index": 113, "difficulty": "hard", "eq1_id": 2320, "eq2_id": 1027, "equation1": "x = (y * (x * (z * z))) * z", "equation2": "x = x * ((x * (y * x)) * z)", "answer": true} |
| {"id": "hard2_0114", "index": 114, "difficulty": "hard", "eq1_id": 220, "eq2_id": 1187, "equation1": "x = (y * (x * x)) * z", "equation2": "x = y * ((z * (z * y)) * w)", "answer": true} |
| {"id": "hard2_0115", "index": 115, "difficulty": "hard", "eq1_id": 2976, "eq2_id": 1045, "equation1": "x = ((y * (z * x)) * x) * w", "equation2": "x = x * ((y * (y * x)) * x)", "answer": true} |
| {"id": "hard2_0116", "index": 116, "difficulty": "hard", "eq1_id": 1102, "eq2_id": 1237, "equation1": "x = y * ((x * (z * z)) * z)", "equation2": "x = x * (((x * y) * z) * w)", "answer": true} |
| {"id": "hard2_0117", "index": 117, "difficulty": "hard", "eq1_id": 3354, "eq2_id": 4064, "equation1": "x * y = y * (y * (x * z))", "equation2": "x * y = (z * (w * u)) * v", "answer": true} |
| {"id": "hard2_0118", "index": 118, "difficulty": "hard", "eq1_id": 2450, "eq2_id": 1446, "equation1": "x = (x * ((x * y) * y)) * y", "equation2": "x = (x * y) * (x * (y * z))", "answer": false} |
| {"id": "hard2_0119", "index": 119, "difficulty": "hard", "eq1_id": 478, "eq2_id": 257, "equation1": "x = y * (x * (y * (y * z)))", "equation2": "x = ((x * x) * y) * x", "answer": true} |
| {"id": "hard2_0120", "index": 120, "difficulty": "hard", "eq1_id": 2901, "eq2_id": 1251, "equation1": "x = ((y * (x * x)) * x) * z", "equation2": "x = x * (((y * y) * y) * x)", "answer": true} |
| {"id": "hard2_0121", "index": 121, "difficulty": "hard", "eq1_id": 758, "eq2_id": 1250, "equation1": "x = y * (z * ((y * x) * y))", "equation2": "x = x * (((y * y) * x) * z)", "answer": true} |
| {"id": "hard2_0122", "index": 122, "difficulty": "hard", "eq1_id": 1119, "eq2_id": 1349, "equation1": "x = y * ((y * (y * x)) * x)", "equation2": "x = y * (((z * x) * x) * x)", "answer": false} |
| {"id": "hard2_0123", "index": 123, "difficulty": "hard", "eq1_id": 1368, "eq2_id": 4358, "equation1": "x = y * (((z * y) * x) * z)", "equation2": "x * (y * z) = x * (z * y)", "answer": false} |
| {"id": "hard2_0124", "index": 124, "difficulty": "hard", "eq1_id": 2045, "eq2_id": 3257, "equation1": "x = ((x * x) * y) * (y * z)", "equation2": "x * x = x * (x * (y * z))", "answer": false} |
| {"id": "hard2_0125", "index": 125, "difficulty": "hard", "eq1_id": 2890, "eq2_id": 2652, "equation1": "x = ((x * (y * z)) * z) * x", "equation2": "x = ((x * x) * (y * y)) * x", "answer": false} |
| {"id": "hard2_0126", "index": 126, "difficulty": "hard", "eq1_id": 2985, "eq2_id": 312, "equation1": "x = ((y * (z * x)) * w) * x", "equation2": "x * x = y * (x * x)", "answer": true} |
| {"id": "hard2_0127", "index": 127, "difficulty": "hard", "eq1_id": 1277, "eq2_id": 858, "equation1": "x = y * (((x * x) * x) * z)", "equation2": "x = x * ((y * z) * (y * z))", "answer": true} |
| {"id": "hard2_0128", "index": 128, "difficulty": "hard", "eq1_id": 2943, "eq2_id": 1064, "equation1": "x = ((y * (y * x)) * z) * y", "equation2": "x = x * ((y * (z * z)) * y)", "answer": true} |
| {"id": "hard2_0129", "index": 129, "difficulty": "hard", "eq1_id": 778, "eq2_id": 676, "equation1": "x = y * (z * ((z * y) * x))", "equation2": "x = y * (x * ((y * x) * x))", "answer": false} |
| {"id": "hard2_0130", "index": 130, "difficulty": "hard", "eq1_id": 2323, "eq2_id": 3180, "equation1": "x = (y * (x * (z * w))) * y", "equation2": "x = (((y * z) * x) * y) * x", "answer": true} |
| {"id": "hard2_0131", "index": 131, "difficulty": "hard", "eq1_id": 3010, "eq2_id": 1152, "equation1": "x = ((y * (z * z)) * x) * w", "equation2": "x = y * ((z * (x * y)) * z)", "answer": true} |
| {"id": "hard2_0132", "index": 132, "difficulty": "hard", "eq1_id": 1149, "eq2_id": 3595, "equation1": "x = y * ((z * (x * x)) * w)", "equation2": "x * y = z * ((x * w) * y)", "answer": true} |
| {"id": "hard2_0133", "index": 133, "difficulty": "hard", "eq1_id": 898, "eq2_id": 949, "equation1": "x = y * ((x * z) * (z * y))", "equation2": "x = y * ((z * x) * (y * z))", "answer": false} |
| {"id": "hard2_0134", "index": 134, "difficulty": "hard", "eq1_id": 1924, "eq2_id": 4221, "equation1": "x = (y * (y * x)) * (y * x)", "equation2": "x * y = ((z * y) * w) * y", "answer": false} |
| {"id": "hard2_0135", "index": 135, "difficulty": "hard", "eq1_id": 4683, "eq2_id": 4330, "equation1": "(x * y) * z = (y * w) * u", "equation2": "x * (y * x) = z * (y * x)", "answer": false} |
| {"id": "hard2_0136", "index": 136, "difficulty": "hard", "eq1_id": 2904, "eq2_id": 492, "equation1": "x = ((y * (x * x)) * y) * z", "equation2": "x = y * (x * (z * (z * y)))", "answer": true} |
| {"id": "hard2_0137", "index": 137, "difficulty": "hard", "eq1_id": 2109, "eq2_id": 552, "equation1": "x = ((y * x) * z) * (x * z)", "equation2": "x = y * (z * (x * (w * w)))", "answer": true} |
| {"id": "hard2_0138", "index": 138, "difficulty": "hard", "eq1_id": 1125, "eq2_id": 483, "equation1": "x = y * ((y * (y * z)) * x)", "equation2": "x = y * (x * (z * (x * x)))", "answer": true} |
| {"id": "hard2_0139", "index": 139, "difficulty": "hard", "eq1_id": 1676, "eq2_id": 4138, "equation1": "x = (x * y) * ((z * w) * x)", "equation2": "x * y = ((x * z) * x) * y", "answer": false} |
| {"id": "hard2_0140", "index": 140, "difficulty": "hard", "eq1_id": 460, "eq2_id": 2449, "equation1": "x = x * (y * (z * (w * z)))", "equation2": "x = (x * ((x * y) * y)) * x", "answer": true} |
| {"id": "hard2_0141", "index": 141, "difficulty": "hard", "eq1_id": 2983, "eq2_id": 2791, "equation1": "x = ((y * (z * x)) * z) * z", "equation2": "x = ((y * z) * (y * y)) * x", "answer": true} |
| {"id": "hard2_0142", "index": 142, "difficulty": "hard", "eq1_id": 271, "eq2_id": 4307, "equation1": "x = ((y * x) * x) * y", "equation2": "x * (x * y) = z * (z * y)", "answer": false} |
| {"id": "hard2_0143", "index": 143, "difficulty": "hard", "eq1_id": 4628, "eq2_id": 4301, "equation1": "(x * x) * y = (z * w) * u", "equation2": "x * (x * y) = z * (x * z)", "answer": false} |
| {"id": "hard2_0144", "index": 144, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 3772, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * y = (y * z) * (y * x)", "answer": false} |
| {"id": "hard2_0145", "index": 145, "difficulty": "hard", "eq1_id": 2539, "eq2_id": 2541, "equation1": "x = (y * ((y * x) * z)) * w", "equation2": "x = (y * ((y * y) * x)) * y", "answer": true} |
| {"id": "hard2_0146", "index": 146, "difficulty": "hard", "eq1_id": 3304, "eq2_id": 4293, "equation1": "x * x = y * (z * (w * u))", "equation2": "x * (x * y) = y * (y * x)", "answer": false} |
| {"id": "hard2_0147", "index": 147, "difficulty": "hard", "eq1_id": 2907, "eq2_id": 1312, "equation1": "x = ((y * (x * x)) * z) * z", "equation2": "x = y * (((y * x) * x) * x)", "answer": true} |
| {"id": "hard2_0148", "index": 148, "difficulty": "hard", "eq1_id": 4688, "eq2_id": 4533, "equation1": "(x * y) * z = (z * w) * u", "equation2": "x * (y * z) = (y * z) * z", "answer": false} |
| {"id": "hard2_0149", "index": 149, "difficulty": "hard", "eq1_id": 2325, "eq2_id": 3159, "equation1": "x = (y * (x * (z * w))) * w", "equation2": "x = (((y * y) * z) * x) * x", "answer": true} |
| {"id": "hard2_0150", "index": 150, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 3432, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x * y = z * (w * (x * z))", "answer": false} |
| {"id": "hard2_0151", "index": 151, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 2489, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = (x * ((y * z) * w)) * y", "answer": false} |
| {"id": "hard2_0152", "index": 152, "difficulty": "hard", "eq1_id": 4653, "eq2_id": 4394, "equation1": "(x * y) * x = (z * w) * u", "equation2": "x * (x * x) = (y * z) * w", "answer": false} |
| {"id": "hard2_0153", "index": 153, "difficulty": "hard", "eq1_id": 684, "eq2_id": 1122, "equation1": "x = y * (x * ((y * z) * z))", "equation2": "x = y * ((y * (y * y)) * x)", "answer": true} |
| {"id": "hard2_0154", "index": 154, "difficulty": "hard", "eq1_id": 2993, "eq2_id": 1250, "equation1": "x = ((y * (z * y)) * x) * w", "equation2": "x = x * (((y * y) * x) * z)", "answer": true} |
| {"id": "hard2_0155", "index": 155, "difficulty": "hard", "eq1_id": 4208, "eq2_id": 3879, "equation1": "x * y = ((z * y) * x) * x", "equation2": "x * x = (y * (x * x)) * z", "answer": true} |
| {"id": "hard2_0156", "index": 156, "difficulty": "hard", "eq1_id": 3069, "eq2_id": 3080, "equation1": "x = (((x * y) * x) * y) * y", "equation2": "x = (((x * y) * y) * y) * z", "answer": false} |
| {"id": "hard2_0157", "index": 157, "difficulty": "hard", "eq1_id": 2450, "eq2_id": 4140, "equation1": "x = (x * ((x * y) * y)) * y", "equation2": "x * y = ((x * z) * x) * w", "answer": false} |
| {"id": "hard2_0158", "index": 158, "difficulty": "hard", "eq1_id": 3913, "eq2_id": 4211, "equation1": "x * x = (y * (z * w)) * u", "equation2": "x * y = ((z * y) * x) * w", "answer": false} |
| {"id": "hard2_0159", "index": 159, "difficulty": "hard", "eq1_id": 2500, "eq2_id": 3127, "equation1": "x = (y * ((x * x) * z)) * y", "equation2": "x = (((y * x) * z) * y) * y", "answer": true} |
| {"id": "hard2_0160", "index": 160, "difficulty": "hard", "eq1_id": 887, "eq2_id": 2494, "equation1": "x = y * ((x * y) * (z * z))", "equation2": "x = (y * ((x * x) * x)) * y", "answer": true} |
| {"id": "hard2_0161", "index": 161, "difficulty": "hard", "eq1_id": 4653, "eq2_id": 4269, "equation1": "(x * y) * x = (z * w) * u", "equation2": "x * (x * x) = x * (y * x)", "answer": false} |
| {"id": "hard2_0162", "index": 162, "difficulty": "hard", "eq1_id": 2297, "eq2_id": 3089, "equation1": "x = (y * (x * (x * z))) * y", "equation2": "x = (((x * y) * z) * y) * x", "answer": true} |
| {"id": "hard2_0163", "index": 163, "difficulty": "hard", "eq1_id": 1879, "eq2_id": 4675, "equation1": "x = (x * (y * z)) * (w * x)", "equation2": "(x * y) * z = (x * w) * z", "answer": false} |
| {"id": "hard2_0164", "index": 164, "difficulty": "hard", "eq1_id": 953, "eq2_id": 2994, "equation1": "x = y * ((z * x) * (z * z))", "equation2": "x = ((y * (z * y)) * y) * x", "answer": true} |
| {"id": "hard2_0165", "index": 165, "difficulty": "hard", "eq1_id": 2116, "eq2_id": 692, "equation1": "x = ((y * x) * z) * (z * y)", "equation2": "x = y * (x * ((z * y) * z))", "answer": false} |
| {"id": "hard2_0166", "index": 166, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 4149, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * y = ((x * z) * w) * x", "answer": false} |
| {"id": "hard2_0167", "index": 167, "difficulty": "hard", "eq1_id": 2460, "eq2_id": 3520, "equation1": "x = (x * ((y * x) * y)) * y", "equation2": "x * y = x * ((y * x) * z)", "answer": false} |
| {"id": "hard2_0168", "index": 168, "difficulty": "hard", "eq1_id": 3366, "eq2_id": 4485, "equation1": "x * y = y * (z * (y * x))", "equation2": "x * (y * y) = (y * z) * x", "answer": true} |
| {"id": "hard2_0169", "index": 169, "difficulty": "hard", "eq1_id": 2331, "eq2_id": 2441, "equation1": "x = (y * (y * (x * y))) * y", "equation2": "x = (x * ((x * x) * x)) * x", "answer": false} |
| {"id": "hard2_0170", "index": 170, "difficulty": "hard", "eq1_id": 3960, "eq2_id": 3903, "equation1": "x * y = (y * (x * z)) * w", "equation2": "x * x = (y * (z * y)) * z", "answer": true} |
| {"id": "hard2_0171", "index": 171, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 3945, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x * y = (x * (z * z)) * w", "answer": false} |
| {"id": "hard2_0172", "index": 172, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 2152, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x = ((y * y) * z) * (z * x)", "answer": false} |
| {"id": "hard2_0173", "index": 173, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 3364, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x * y = y * (z * (x * z))", "answer": false} |
| {"id": "hard2_0174", "index": 174, "difficulty": "hard", "eq1_id": 2907, "eq2_id": 2968, "equation1": "x = ((y * (x * x)) * z) * z", "equation2": "x = ((y * (y * z)) * w) * x", "answer": true} |
| {"id": "hard2_0175", "index": 175, "difficulty": "hard", "eq1_id": 2805, "eq2_id": 2853, "equation1": "x = ((y * z) * (z * x)) * y", "equation2": "x = ((x * (x * y)) * x) * y", "answer": false} |
| {"id": "hard2_0176", "index": 176, "difficulty": "hard", "eq1_id": 2878, "eq2_id": 2894, "equation1": "x = ((x * (y * y)) * z) * x", "equation2": "x = ((x * (y * z)) * w) * x", "answer": false} |
| {"id": "hard2_0177", "index": 177, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 2314, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = (y * (x * (z * y))) * x", "answer": false} |
| {"id": "hard2_0178", "index": 178, "difficulty": "hard", "eq1_id": 853, "eq2_id": 849, "equation1": "x = x * ((y * z) * (x * y))", "equation2": "x = x * ((y * y) * (z * y))", "answer": true} |
| {"id": "hard2_0179", "index": 179, "difficulty": "hard", "eq1_id": 1485, "eq2_id": 4635, "equation1": "x = (y * x) * (x * (z * y))", "equation2": "(x * y) * x = (y * x) * x", "answer": false} |
| {"id": "hard2_0180", "index": 180, "difficulty": "hard", "eq1_id": 3913, "eq2_id": 4541, "equation1": "x * x = (y * (z * w)) * u", "equation2": "x * (y * z) = (z * x) * y", "answer": false} |
| {"id": "hard2_0181", "index": 181, "difficulty": "hard", "eq1_id": 646, "eq2_id": 2858, "equation1": "x = x * (y * ((y * z) * y))", "equation2": "x = ((x * (x * y)) * z) * x", "answer": false} |
| {"id": "hard2_0182", "index": 182, "difficulty": "hard", "eq1_id": 1076, "eq2_id": 3407, "equation1": "x = y * ((x * (x * y)) * y)", "equation2": "x * y = z * (y * (z * w))", "answer": false} |
| {"id": "hard2_0183", "index": 183, "difficulty": "hard", "eq1_id": 4676, "eq2_id": 4282, "equation1": "(x * y) * z = (x * w) * u", "equation2": "x * (x * y) = x * (x * z)", "answer": false} |
| {"id": "hard2_0184", "index": 184, "difficulty": "hard", "eq1_id": 3205, "eq2_id": 2469, "equation1": "x = (((y * z) * y) * w) * x", "equation2": "x = (x * ((y * y) * y)) * x", "answer": true} |
| {"id": "hard2_0185", "index": 185, "difficulty": "hard", "eq1_id": 742, "eq2_id": 1312, "equation1": "x = y * (z * ((x * x) * z))", "equation2": "x = y * (((y * x) * x) * x)", "answer": true} |
| {"id": "hard2_0186", "index": 186, "difficulty": "hard", "eq1_id": 668, "eq2_id": 502, "equation1": "x = y * (x * ((x * x) * z))", "equation2": "x = y * (y * (x * (x * z)))", "answer": true} |
| {"id": "hard2_0187", "index": 187, "difficulty": "hard", "eq1_id": 194, "eq2_id": 1133, "equation1": "x = (y * z) * (z * x)", "equation2": "x = y * ((y * (z * y)) * x)", "answer": false} |
| {"id": "hard2_0188", "index": 188, "difficulty": "hard", "eq1_id": 4686, "eq2_id": 4625, "equation1": "(x * y) * z = (z * w) * x", "equation2": "(x * x) * y = (z * w) * y", "answer": false} |
| {"id": "hard2_0189", "index": 189, "difficulty": "hard", "eq1_id": 2329, "eq2_id": 4329, "equation1": "x = (y * (y * (x * x))) * z", "equation2": "x * (y * x) = z * (x * w)", "answer": true} |
| {"id": "hard2_0190", "index": 190, "difficulty": "hard", "eq1_id": 4116, "eq2_id": 3842, "equation1": "x * x = ((y * z) * w) * u", "equation2": "x * y = (z * w) * (y * y)", "answer": false} |
| {"id": "hard2_0191", "index": 191, "difficulty": "hard", "eq1_id": 1648, "eq2_id": 207, "equation1": "x = (x * y) * ((x * y) * y)", "equation2": "x = (x * (x * y)) * z", "answer": false} |
| {"id": "hard2_0192", "index": 192, "difficulty": "hard", "eq1_id": 646, "eq2_id": 4286, "equation1": "x = x * (y * ((y * z) * y))", "equation2": "x * (x * y) = x * (z * x)", "answer": false} |
| {"id": "hard2_0193", "index": 193, "difficulty": "hard", "eq1_id": 2190, "eq2_id": 4320, "equation1": "x = ((y * z) * y) * (w * x)", "equation2": "x * (y * x) = y * (x * x)", "answer": true} |
| {"id": "hard2_0194", "index": 194, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 2301, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = (y * (x * (y * x))) * y", "answer": false} |
| {"id": "hard2_0195", "index": 195, "difficulty": "hard", "eq1_id": 4422, "eq2_id": 4460, "equation1": "x * (x * y) = (z * y) * w", "equation2": "x * (y * x) = (z * z) * x", "answer": false} |
| {"id": "hard2_0196", "index": 196, "difficulty": "hard", "eq1_id": 2531, "eq2_id": 849, "equation1": "x = (y * ((y * x) * x)) * y", "equation2": "x = x * ((y * y) * (z * y))", "answer": false} |
| {"id": "hard2_0197", "index": 197, "difficulty": "hard", "eq1_id": 3295, "eq2_id": 3290, "equation1": "x * x = y * (z * (y * w))", "equation2": "x * x = y * (z * (x * z))", "answer": false} |
| {"id": "hard2_0198", "index": 198, "difficulty": "hard", "eq1_id": 3396, "eq2_id": 3846, "equation1": "x * y = z * (y * (x * x))", "equation2": "x * y = (z * w) * (z * x)", "answer": true} |
| {"id": "hard2_0199", "index": 199, "difficulty": "hard", "eq1_id": 2668, "eq2_id": 2848, "equation1": "x = ((x * y) * (x * z)) * w", "equation2": "x = ((x * (x * x)) * x) * y", "answer": true} |
| {"id": "hard2_0200", "index": 200, "difficulty": "hard", "eq1_id": 3365, "eq2_id": 3987, "equation1": "x * y = y * (z * (x * w))", "equation2": "x * y = (y * (z * w)) * u", "answer": true} |
|
|
