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{"id": "evaluation_hard_0088", "index": 88, "difficulty": "hard", "eq1_id": 380, "eq2_id": 3718, "equation1": "x * y = (x * z) * x", "equation2": "x * y = (x * x) * (z * y)", "answer": true}
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{"id": "evaluation_hard_0094", "index": 94, "difficulty": "hard", "eq1_id": 438, "eq2_id": 60, "equation1": "x = x * (y * (y * (x * z)))", "equation2": "x = x * (y * (z * z))", "answer": true}
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{"id": "evaluation_hard_0098", "index": 98, "difficulty": "hard", "eq1_id": 448, "eq2_id": 3519, "equation1": "x = x * (y * (z * (x * z)))", "equation2": "x * y = x * ((y * x) * y)", "answer": true}
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{"id": "evaluation_hard_0110", "index": 110, "difficulty": "hard", "eq1_id": 453, "eq2_id": 3731, "equation1": "x = x * (y * (z * (y * w)))", "equation2": "x * y = (x * z) * (x * x)", "answer": true}
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{"id": "evaluation_hard_0112", "index": 112, "difficulty": "hard", "eq1_id": 460, "eq2_id": 2065, "equation1": "x = x * (y * (z * (w * z)))", "equation2": "x = ((x * y) * y) * (y * z)", "answer": true}
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{"id": "evaluation_hard_0114", "index": 114, "difficulty": "hard", "eq1_id": 461, "eq2_id": 847, "equation1": "x = x * (y * (z * (w * w)))", "equation2": "x = x * ((y * y) * (y * z))", "answer": true}
{"id": "evaluation_hard_0115", "index": 115, "difficulty": "hard", "eq1_id": 168, "eq2_id": 1816, "equation1": "x = (y * x) * (x * z)", "equation2": "x = (y * z) * ((w * z) * x)", "answer": false}
{"id": "evaluation_hard_0116", "index": 116, "difficulty": "hard", "eq1_id": 469, "eq2_id": 4090, "equation1": "x = y * (x * (x * (z * x)))", "equation2": "x * x = ((y * y) * x) * x", "answer": true}
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{"id": "evaluation_hard_0122", "index": 122, "difficulty": "hard", "eq1_id": 631, "eq2_id": 3321, "equation1": "x = x * (y * ((x * x) * z))", "equation2": "x * y = x * (y * (z * x))", "answer": true}
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{"id": "evaluation_hard_0130", "index": 130, "difficulty": "hard", "eq1_id": 638, "eq2_id": 376, "equation1": "x = x * (y * ((x * z) * w))", "equation2": "x * y = (x * x) * z", "answer": true}
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{"id": "evaluation_hard_0132", "index": 132, "difficulty": "hard", "eq1_id": 644, "eq2_id": 1045, "equation1": "x = x * (y * ((y * y) * z))", "equation2": "x = x * ((y * (y * x)) * x)", "answer": true}
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{"id": "evaluation_hard_0134", "index": 134, "difficulty": "hard", "eq1_id": 648, "eq2_id": 1669, "equation1": "x = x * (y * ((y * z) * w))", "equation2": "x = (x * y) * ((z * y) * y)", "answer": true}
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{"id": "evaluation_hard_0138", "index": 138, "difficulty": "hard", "eq1_id": 478, "eq2_id": 456, "equation1": "x = y * (x * (y * (y * z)))", "equation2": "x = x * (y * (z * (z * z)))", "answer": true}
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{"id": "evaluation_hard_0140", "index": 140, "difficulty": "hard", "eq1_id": 480, "eq2_id": 2478, "equation1": "x = y * (x * (y * (z * y)))", "equation2": "x = (x * ((y * z) * x)) * z", "answer": true}
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{"id": "evaluation_hard_0148", "index": 148, "difficulty": "hard", "eq1_id": 552, "eq2_id": 1563, "equation1": "x = y * (z * (x * (w * w)))", "equation2": "x = (y * z) * (x * (z * w))", "answer": true}
{"id": "evaluation_hard_0149", "index": 149, "difficulty": "hard", "eq1_id": 759, "eq2_id": 633, "equation1": "x = y * (z * ((y * x) * z))", "equation2": "x = x * (y * ((x * y) * y))", "answer": false}
{"id": "evaluation_hard_0150", "index": 150, "difficulty": "hard", "eq1_id": 552, "eq2_id": 1600, "equation1": "x = y * (z * (x * (w * w)))", "equation2": "x = (y * z) * (z * (w * z))", "answer": true}
{"id": "evaluation_hard_0151", "index": 151, "difficulty": "hard", "eq1_id": 962, "eq2_id": 3423, "equation1": "x = y * ((z * y) * (x * z))", "equation2": "x * y = z * (z * (z * z))", "answer": false}
{"id": "evaluation_hard_0152", "index": 152, "difficulty": "hard", "eq1_id": 553, "eq2_id": 2292, "equation1": "x = y * (z * (x * (w * u)))", "equation2": "x = (y * (x * (x * x))) * z", "answer": true}
{"id": "evaluation_hard_0153", "index": 153, "difficulty": "hard", "eq1_id": 1101, "eq2_id": 4389, "equation1": "x = y * ((x * (z * z)) * y)", "equation2": "x * (x * x) = (y * y) * y", "answer": false}
{"id": "evaluation_hard_0154", "index": 154, "difficulty": "hard", "eq1_id": 580, "eq2_id": 2850, "equation1": "x = y * (z * (z * (z * y)))", "equation2": "x = ((x * (x * x)) * y) * y", "answer": true}
{"id": "evaluation_hard_0155", "index": 155, "difficulty": "hard", "eq1_id": 1133, "eq2_id": 3335, "equation1": "x = y * ((y * (z * y)) * x)", "equation2": "x * y = x * (z * (z * z))", "answer": false}
{"id": "evaluation_hard_0156", "index": 156, "difficulty": "hard", "eq1_id": 589, "eq2_id": 2191, "equation1": "x = y * (z * (w * (x * y)))", "equation2": "x = ((y * z) * y) * (w * y)", "answer": true}
{"id": "evaluation_hard_0157", "index": 157, "difficulty": "hard", "eq1_id": 1276, "eq2_id": 4431, "equation1": "x = y * (((x * x) * x) * y)", "equation2": "x * (x * y) = (z * w) * u", "answer": false}
{"id": "evaluation_hard_0158", "index": 158, "difficulty": "hard", "eq1_id": 675, "eq2_id": 3717, "equation1": "x = y * (x * ((x * z) * w))", "equation2": "x * y = (x * x) * (z * x)", "answer": true}
{"id": "evaluation_hard_0159", "index": 159, "difficulty": "hard", "eq1_id": 1307, "eq2_id": 3625, "equation1": "x = y * (((x * z) * w) * x)", "equation2": "x * y = z * ((z * z) * y)", "answer": false}
{"id": "evaluation_hard_0160", "index": 160, "difficulty": "hard", "eq1_id": 700, "eq2_id": 911, "equation1": "x = y * (x * ((z * w) * z))", "equation2": "x = y * ((y * x) * (y * z))", "answer": true}
{"id": "evaluation_hard_0161", "index": 161, "difficulty": "hard", "eq1_id": 1323, "eq2_id": 2469, "equation1": "x = y * (((y * y) * x) * y)", "equation2": "x = (x * ((y * y) * y)) * x", "answer": false}
{"id": "evaluation_hard_0162", "index": 162, "difficulty": "hard", "eq1_id": 743, "eq2_id": 2903, "equation1": "x = y * (z * ((x * x) * w))", "equation2": "x = ((y * (x * x)) * y) * y", "answer": true}
{"id": "evaluation_hard_0163", "index": 163, "difficulty": "hard", "eq1_id": 1435, "eq2_id": 1181, "equation1": "x = (x * x) * (y * (y * y))", "equation2": "x = y * ((z * (z * x)) * y)", "answer": false}
{"id": "evaluation_hard_0164", "index": 164, "difficulty": "hard", "eq1_id": 777, "eq2_id": 500, "equation1": "x = y * (z * ((z * x) * w))", "equation2": "x = y * (y * (x * (x * x)))", "answer": true}
{"id": "evaluation_hard_0165", "index": 165, "difficulty": "hard", "eq1_id": 1453, "eq2_id": 1434, "equation1": "x = (x * y) * (y * (x * z))", "equation2": "x = (x * x) * (y * (y * x))", "answer": false}
{"id": "evaluation_hard_0166", "index": 166, "difficulty": "hard", "eq1_id": 781, "eq2_id": 120, "equation1": "x = y * (z * ((z * y) * w))", "equation2": "x = y * ((x * z) * x)", "answer": true}
{"id": "evaluation_hard_0167", "index": 167, "difficulty": "hard", "eq1_id": 1460, "eq2_id": 3542, "equation1": "x = (x * y) * (y * (z * w))", "equation2": "x * y = x * ((z * w) * z)", "answer": false}
{"id": "evaluation_hard_0168", "index": 168, "difficulty": "hard", "eq1_id": 781, "eq2_id": 130, "equation1": "x = y * (z * ((z * y) * w))", "equation2": "x = y * ((y * z) * x)", "answer": true}
{"id": "evaluation_hard_0169", "index": 169, "difficulty": "hard", "eq1_id": 1519, "eq2_id": 4478, "equation1": "x = (y * y) * (x * (y * y))", "equation2": "x * (y * y) = (x * z) * w", "answer": false}
{"id": "evaluation_hard_0170", "index": 170, "difficulty": "hard", "eq1_id": 798, "eq2_id": 1598, "equation1": "x = y * (z * ((w * y) * z))", "equation2": "x = (y * z) * (z * (w * x))", "answer": true}
{"id": "evaluation_hard_0171", "index": 171, "difficulty": "hard", "eq1_id": 1521, "eq2_id": 3278, "equation1": "x = (y * y) * (x * (z * x))", "equation2": "x * x = y * (y * (x * x))", "answer": false}
{"id": "evaluation_hard_0172", "index": 172, "difficulty": "hard", "eq1_id": 913, "eq2_id": 134, "equation1": "x = y * ((y * x) * (z * y))", "equation2": "x = y * ((z * x) * x)", "answer": true}
{"id": "evaluation_hard_0173", "index": 173, "difficulty": "hard", "eq1_id": 1561, "eq2_id": 1238, "equation1": "x = (y * z) * (x * (z * y))", "equation2": "x = x * (((y * x) * x) * x)", "answer": false}
{"id": "evaluation_hard_0174", "index": 174, "difficulty": "hard", "eq1_id": 946, "eq2_id": 4521, "equation1": "x = y * ((z * x) * (x * w))", "equation2": "x * (y * z) = (x * w) * w", "answer": true}
{"id": "evaluation_hard_0175", "index": 175, "difficulty": "hard", "eq1_id": 1587, "eq2_id": 1033, "equation1": "x = (y * z) * (z * (x * y))", "equation2": "x = x * ((x * (y * z)) * z)", "answer": false}
{"id": "evaluation_hard_0176", "index": 176, "difficulty": "hard", "eq1_id": 980, "eq2_id": 172, "equation1": "x = y * ((z * z) * (x * w))", "equation2": "x = (y * x) * (z * x)", "answer": true}
{"id": "evaluation_hard_0177", "index": 177, "difficulty": "hard", "eq1_id": 1590, "eq2_id": 1117, "equation1": "x = (y * z) * (z * (y * x))", "equation2": "x = y * ((y * (x * z)) * z)", "answer": false}
{"id": "evaluation_hard_0178", "index": 178, "difficulty": "hard", "eq1_id": 1057, "eq2_id": 3100, "equation1": "x = x * ((y * (z * x)) * z)", "equation2": "x = (((x * y) * z) * w) * w", "answer": true}
{"id": "evaluation_hard_0179", "index": 179, "difficulty": "hard", "eq1_id": 1632, "eq2_id": 4361, "equation1": "x = (x * x) * ((x * y) * y)", "equation2": "x * (y * z) = x * (w * u)", "answer": false}
{"id": "evaluation_hard_0180", "index": 180, "difficulty": "hard", "eq1_id": 1062, "eq2_id": 3084, "equation1": "x = x * ((y * (z * y)) * w)", "equation2": "x = (((x * y) * y) * z) * w", "answer": true}
{"id": "evaluation_hard_0181", "index": 181, "difficulty": "hard", "eq1_id": 1670, "eq2_id": 4358, "equation1": "x = (x * y) * ((z * y) * z)", "equation2": "x * (y * z) = x * (z * y)", "answer": false}
{"id": "evaluation_hard_0182", "index": 182, "difficulty": "hard", "eq1_id": 1087, "eq2_id": 4354, "equation1": "x = y * ((x * (y * y)) * z)", "equation2": "x * (y * y) = z * (w * y)", "answer": true}
{"id": "evaluation_hard_0183", "index": 183, "difficulty": "hard", "eq1_id": 1701, "eq2_id": 4464, "equation1": "x = (y * x) * ((z * x) * x)", "equation2": "x * (y * x) = (z * w) * x", "answer": false}
{"id": "evaluation_hard_0184", "index": 184, "difficulty": "hard", "eq1_id": 1116, "eq2_id": 1134, "equation1": "x = y * ((y * (x * z)) * y)", "equation2": "x = y * ((y * (z * y)) * y)", "answer": true}
{"id": "evaluation_hard_0185", "index": 185, "difficulty": "hard", "eq1_id": 1763, "eq2_id": 4288, "equation1": "x = (y * z) * ((x * z) * x)", "equation2": "x * (x * y) = x * (z * z)", "answer": false}
{"id": "evaluation_hard_0186", "index": 186, "difficulty": "hard", "eq1_id": 1198, "eq2_id": 252, "equation1": "x = y * ((z * (w * x)) * y)", "equation2": "x = (y * (z * w)) * z", "answer": true}
{"id": "evaluation_hard_0187", "index": 187, "difficulty": "hard", "eq1_id": 1816, "eq2_id": 4472, "equation1": "x = (y * z) * ((w * z) * x)", "equation2": "x * (y * y) = (x * y) * x", "answer": false}
{"id": "evaluation_hard_0188", "index": 188, "difficulty": "hard", "eq1_id": 1198, "eq2_id": 3251, "equation1": "x = y * ((z * (w * x)) * y)", "equation2": "x = (((y * z) * w) * u) * u", "answer": true}
{"id": "evaluation_hard_0189", "index": 189, "difficulty": "hard", "eq1_id": 1821, "eq2_id": 635, "equation1": "x = (y * z) * ((w * w) * x)", "equation2": "x = x * (y * ((x * z) * x))", "answer": false}
{"id": "evaluation_hard_0190", "index": 190, "difficulty": "hard", "eq1_id": 1273, "eq2_id": 2043, "equation1": "x = x * (((y * z) * w) * w)", "equation2": "x = ((x * x) * y) * (y * x)", "answer": true}
{"id": "evaluation_hard_0191", "index": 191, "difficulty": "hard", "eq1_id": 2135, "eq2_id": 775, "equation1": "x = ((y * y) * y) * (x * y)", "equation2": "x = y * (z * ((z * x) * y))", "answer": false}
{"id": "evaluation_hard_0192", "index": 192, "difficulty": "hard", "eq1_id": 1283, "eq2_id": 2278, "equation1": "x = y * (((x * x) * z) * z)", "equation2": "x = (x * (y * (z * y))) * y", "answer": true}
{"id": "evaluation_hard_0193", "index": 193, "difficulty": "hard", "eq1_id": 2161, "eq2_id": 4302, "equation1": "x = ((y * z) * x) * (x * x)", "equation2": "x * (x * y) = z * (x * w)", "answer": false}
{"id": "evaluation_hard_0194", "index": 194, "difficulty": "hard", "eq1_id": 1376, "eq2_id": 235, "equation1": "x = y * (((z * y) * z) * z)", "equation2": "x = (y * (y * z)) * y", "answer": true}
{"id": "evaluation_hard_0195", "index": 195, "difficulty": "hard", "eq1_id": 2167, "eq2_id": 261, "equation1": "x = ((y * z) * x) * (y * z)", "equation2": "x = ((x * y) * x) * y", "answer": false}
{"id": "evaluation_hard_0196", "index": 196, "difficulty": "hard", "eq1_id": 1689, "eq2_id": 2391, "equation1": "x = (y * x) * ((x * z) * z)", "equation2": "x = (y * (z * (y * z))) * z", "answer": true}
{"id": "evaluation_hard_0197", "index": 197, "difficulty": "hard", "eq1_id": 2383, "eq2_id": 4332, "equation1": "x = (y * (z * (y * x))) * z", "equation2": "x * (y * x) = z * (y * z)", "answer": false}
{"id": "evaluation_hard_0198", "index": 198, "difficulty": "hard", "eq1_id": 1766, "eq2_id": 1609, "equation1": "x = (y * z) * ((x * z) * w)", "equation2": "x = (y * z) * (w * (y * y))", "answer": true}
{"id": "evaluation_hard_0199", "index": 199, "difficulty": "hard", "eq1_id": 2714, "eq2_id": 433, "equation1": "x = ((y * x) * (y * z)) * z", "equation2": "x = x * (y * (x * (z * y)))", "answer": false}
{"id": "evaluation_hard_0200", "index": 200, "difficulty": "hard", "eq1_id": 1786, "eq2_id": 2115, "equation1": "x = (y * z) * ((y * w) * z)", "equation2": "x = ((y * x) * z) * (z * x)", "answer": true}