| [{"idx": 212, "gt": "52", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 819, "gt": "2", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 869, "gt": "x_1=x_2=\\ldots=x_{2011}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 976, "gt": "3", "n": 8, "n_valid": 7, "top": "3", "top_cnt": 7, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 7}, {"idx": 1041, "gt": "\\frac{8}{63}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 1423, "gt": "[120,130]", "n": 8, "n_valid": 2, "top": "[120,130]", "top_cnt": 2, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 2}, {"idx": 1501, "gt": "42857", "n": 8, "n_valid": 8, "top": "42857", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 2279, "gt": "7", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 2582, "gt": "\\sqrt{e}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 2614, "gt": "\\sqrt{2},-\\sqrt{2}", "n": 8, "n_valid": 8, "top": "-\\sqrt{2}", "top_cnt": 4, "labeled": true, "n_disagree": 4, "label_correct": false, "rollout_correct": 0}, {"idx": 2848, "gt": "a_n=\\frac{1}{n(n+1)}", "n": 8, "n_valid": 4, "top": "\\frac{1}{n(n+1)}", "top_cnt": 4, "labeled": true, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3039, "gt": "199", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3070, "gt": "\\{-3,-1,1,5\\}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3169, "gt": "15", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3309, "gt": "1", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3349, "gt": "n\\ln2\\leq\\ln(\\binom{2n}{n})\\leqn\\ln4", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3358, "gt": "p^{n-2}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 3648, "gt": "h(n)=\\sqrt{5\\cdot2^n-1}", "n": 8, "n_valid": 2, "top": "\\sqrt{5\\cdot2^n-1}", "top_cnt": 2, "labeled": true, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 4090, "gt": "16", "n": 8, "n_valid": 2, "top": "16", "top_cnt": 2, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 2}, {"idx": 4572, "gt": "80.90", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 5094, "gt": "50", "n": 8, "n_valid": 8, "top": "5", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 5231, "gt": "3", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 5329, "gt": "2014=(5^{2}+9^{2})\\times(3^{3}-2^{3})", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 6300, "gt": "15", "n": 8, "n_valid": 1, "top": "15", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 6515, "gt": "\\frac{1}{7}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 6865, "gt": "\\frac{1}{6}", "n": 8, "n_valid": 1, "top": "\\frac{1}{6}", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 7055, "gt": "150", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 7164, "gt": "3\\pi^2", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 7223, "gt": "111", "n": 8, "n_valid": 8, "top": "111", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 7314, "gt": "150", "n": 8, "n_valid": 3, "top": "150", "top_cnt": 3, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 3}, {"idx": 7467, "gt": "\\frac{5}{48}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 7623, "gt": "a^3+\\frac{1}{a^3}", "n": 8, "n_valid": 2, "top": "a^3+\\frac{1}{a^3}", "top_cnt": 2, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 2}, {"idx": 7628, "gt": "42", "n": 8, "n_valid": 1, "top": "42", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 8024, "gt": "2", "n": 8, "n_valid": 8, "top": "2", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 8667, "gt": "\\frac{1}{2016}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 9012, "gt": "123", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 9105, "gt": "7", "n": 8, "n_valid": 6, "top": "7", "top_cnt": 6, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 6}, {"idx": 9108, "gt": "(1+x^2-x^3)^{1000}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 9115, "gt": "78", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 9482, "gt": "2", "n": 8, "n_valid": 1, "top": "2", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 9606, "gt": "10", "n": 8, "n_valid": 8, "top": "10", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 11029, "gt": "E", "n": 8, "n_valid": 8, "top": "E", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 11149, "gt": "S_n=\\frac{1}{2n-1}", "n": 8, "n_valid": 4, "top": "S_n=\\frac{1}{2n-1}", "top_cnt": 2, "labeled": true, "n_disagree": 2, "label_correct": true, "rollout_correct": 2}, {"idx": 11270, "gt": "10", "n": 8, "n_valid": 1, "top": "10", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 11641, "gt": "17", "n": 8, "n_valid": 6, "top": "17", "top_cnt": 6, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 6}, {"idx": 11763, "gt": "(1,+\\infty)", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 11850, "gt": "0", "n": 8, "n_valid": 3, "top": "0", "top_cnt": 3, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 3}, {"idx": 11954, "gt": "\\frac{39}{2}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 12130, "gt": "25", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 12403, "gt": "7000000000", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 12449, "gt": "89", "n": 8, "n_valid": 1, "top": "89", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 12455, "gt": "1", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 13746, "gt": "0", "n": 8, "n_valid": 8, "top": "0", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 13825, "gt": "3^{999}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 13848, "gt": "3", "n": 8, "n_valid": 7, "top": "3", "top_cnt": 7, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 7}, {"idx": 14719, "gt": "1", "n": 8, "n_valid": 8, "top": "1", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 14857, "gt": "E", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 15054, "gt": "\\sin\\alpha+\\sin\\beta+\\sin\\gamma\\leq\\frac{3\\sqrt{3}}{2}", "n": 8, "n_valid": 1, "top": "\\frac{3\\sqrt{3}}{2}", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 16559, "gt": "\\sqrt{3}", "n": 8, "n_valid": 7, "top": "\\sqrt{3}", "top_cnt": 7, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 7}, {"idx": 17571, "gt": "190", "n": 8, "n_valid": 7, "top": "190", "top_cnt": 7, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 7}, {"idx": 17856, "gt": "|A|\\geq|B|", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 17870, "gt": "30240000", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 18089, "gt": "608", "n": 8, "n_valid": 8, "top": "608", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 18390, "gt": "14\\mathrm{cm}^2", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 18918, "gt": null, "n": 8, "n_valid": 4, "top": "B", "top_cnt": 4, "labeled": true, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 19309, "gt": "\\frac{1}{x_1}+\\frac{1}{x_2}=\\frac{1}{x_3}", "n": 8, "n_valid": 6, "top": "\\frac{1}{x_1}+\\frac{1}{x_2}=\\frac{1}{x_3}", "top_cnt": 6, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 6}, {"idx": 19349, "gt": "243", "n": 8, "n_valid": 5, "top": "243", "top_cnt": 5, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 5}, {"idx": 19726, "gt": "(B)", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 19782, "gt": "0.1323", "n": 8, "n_valid": 2, "top": "0.1323", "top_cnt": 2, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 2}, {"idx": 20267, "gt": "\\frac{16\\pi}{3}+4\\sqrt{3}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 20599, "gt": "\\alpha=2,\\beta=4", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 20830, "gt": "a^2+b^2+c^2=9R^2-OH^2", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 20952, "gt": "60", "n": 8, "n_valid": 4, "top": "60", "top_cnt": 4, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 4}, {"idx": 21295, "gt": "2\\sqrt{P^2+Q^2}", "n": 8, "n_valid": 4, "top": "2\\sqrt{P^2+Q^2}", "top_cnt": 4, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 4}, {"idx": 21668, "gt": "\\frac{5}{2}", "n": 8, "n_valid": 8, "top": "\\frac{5}{2}", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 21960, "gt": "12000", "n": 8, "n_valid": 8, "top": "12000", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 22174, "gt": "14", "n": 8, "n_valid": 1, "top": "14", "top_cnt": 1, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 1}, {"idx": 22876, "gt": "3", "n": 8, "n_valid": 4, "top": "3", "top_cnt": 4, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 4}, {"idx": 22981, "gt": "48", "n": 8, "n_valid": 8, "top": "48", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 23087, "gt": "20", "n": 8, "n_valid": 3, "top": "20", "top_cnt": 3, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 3}, {"idx": 23462, "gt": "0,1,2,3,4", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 23911, "gt": "3", "n": 8, "n_valid": 8, "top": "3", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 24132, "gt": "44", "n": 8, "n_valid": 8, "top": "44", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 24270, "gt": "304", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 24299, "gt": "9", "n": 8, "n_valid": 6, "top": "9", "top_cnt": 6, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 6}, {"idx": 24864, "gt": "5", "n": 8, "n_valid": 6, "top": "5", "top_cnt": 6, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 6}, {"idx": 25018, "gt": "24", "n": 8, "n_valid": 8, "top": "24", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 25331, "gt": "6", "n": 8, "n_valid": 8, "top": "6", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 26405, "gt": "(-\\frac{1}{8},\\frac{1}{2})", "n": 8, "n_valid": 8, "top": "(-\\frac{1}{8},\\frac{1}{2})", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 26447, "gt": "4", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 26523, "gt": "6", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 27177, "gt": "\\frac{\\pi}{4}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 27332, "gt": "13", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 27770, "gt": "a_n=F_{n+3}-2", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 28027, "gt": "5", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 28236, "gt": "4.32", "n": 8, "n_valid": 8, "top": "4.32", "top_cnt": 8, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 8}, {"idx": 28392, "gt": "\\frac{\\sqrt{2}-1}{2}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 28485, "gt": "\\frac{\\sqrt{2}}{2}", "n": 8, "n_valid": 0, "top": null, "top_cnt": 0, "labeled": false, "n_disagree": 0, "label_correct": false, "rollout_correct": 0}, {"idx": 29014, "gt": "657", "n": 8, "n_valid": 6, "top": "657", "top_cnt": 6, "labeled": true, "n_disagree": 0, "label_correct": true, "rollout_correct": 6}, {"idx": 29234, "gt": "5\\sqrt{2}", "n": 8, "n_valid": 4, "top": "x+3y=10", "top_cnt": 2, "labeled": true, "n_disagree": 2, "label_correct": false, "rollout_correct": 0}] |