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olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "3^{2017}-3", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\bar{A}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "1234", "style": "rule" }
{ "index": -1, "split": "default" }
amc_aime
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "41", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "180", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\left(0, \\frac{5}{2}\\right)", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "D", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "(2,8)or(8,2)", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "D", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "100^\\circ", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "10", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "793", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "4072323", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "131", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "1.5", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "315", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "448", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "60", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "2^{n+1}-2-n", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "a+b+c", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "a_{n}=n", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "8", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "D", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{25\\sqrt{34}}{34}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "8", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{9}{16}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "8", "style": "rule" }
{ "index": -1, "split": "default" }
amc_aime
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "758", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "85", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "20", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "5", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "17", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "54", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "6", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{16}{3}", "style": "rule" }
{ "index": -1, "split": "default" }
amc_aime
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "376", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "5", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "30", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\sqrt{26}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "7", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "575", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "1", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{1}{2}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "31,67", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "24", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "(-3,2)", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "2000", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "35:12", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{3}{5}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{10}{3}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "n^2-n+2", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "859", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "f(x, y) = \\left| \\frac{x - y}{2} \\right|", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "y = x^2 + 1", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "C", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "11", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "4", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "4", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "183", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "32", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "[4,8]", "style": "rule" }
{ "index": -1, "split": "default" }
inequalities
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "f(x)=x^{n}", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\text{C}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "n!", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "6", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "4008", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "75", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "666", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "441", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "112.5", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "N^{\\frac{n}{2}}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "2,3,5,7,13", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "3", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "4", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "2^m - 1", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "10", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{10}{11}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "3", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "11", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "0.9", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "2,8", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "D", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{3}{5}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "-2", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "15", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "864", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "4000", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "320", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{6}{11}", "style": "rule" }
{ "index": -1, "split": "default" }
inequalities
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "1989", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{x^{2}-5x+6}{x^{2}-5x-6}", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{2}{9}", "style": "rule" }
{ "index": -1, "split": "default" }
inequalities
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "103", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "45", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "20", "style": "rule" }
{ "index": -1, "split": "default" }
aops_forum
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "328053", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "36x^{2}-161x+34=0", "style": "rule" }
{ "index": -1, "split": "default" }
olympiads
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "12", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{6}{35}", "style": "rule" }
{ "index": -1, "split": "default" }
cn_contest
[ { "content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ...
{ "ground_truth": "\\frac{\\sqrt{6} \\pi}{216}", "style": "rule" }
{ "index": -1, "split": "default" }
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