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dict
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": "v_{R}=4\\mathrm{~}/\\mathrm{},v_{B}=10\\mathrm{~}/\\mathrm{}", "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": "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{1}{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": "-\\ln 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": "11 \\sqrt{3}", "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": "x=y=z=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{100}{243}", "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": "18", "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": "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": "10", "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" }
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{5}{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": "8", "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" }
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", "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^{3}-x}{8\\sqrt{x^{2}-4}}+\\frac{x}{8}\\cdot\\arcsin\\frac{2}{x}", "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": "1078", "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": "E", "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": "6500", "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": "\\frac{\\pi \\sqrt{3}}{6}", "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": "\\frac{a^2 + b^2 + c^2}{3}", "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{2}}{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": "f(n)=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": "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": "B", "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" }
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": "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": "\\sqrt{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": "9", "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{1}{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": "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": "C", "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": "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": "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": "-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": "88327", "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": "72", "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": "8375", "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": "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": "16^{100}", "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" }
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": "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": "499", "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": "\\frac{7}{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": "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": "7,18,29,40", "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": "60718293", "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", "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": "2x", "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": "7", "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": "126", "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": "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": "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": "B", "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": "1010", "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": "4000", "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": "261", "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": "486", "style": "rule" }
{ "index": -1, "split": "default" }
number_theory
[ { "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": "41040", "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": "210", "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": "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": "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": "y\\in[1,\\frac{3}{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": "12x^{2}+\\frac{35}{x^{8}}-\\frac{20}{3\\sqrt[6]{x}}", "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": "k(x-1)+Ce^{-x}", "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": "4641", "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": "\\frac{28r^{3}}{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": "B", "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": "945", "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": "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": "x\\leqslant0", "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{4}{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": "584", "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": "2^{1994}", "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": "50", "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": "3888", "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": "997", "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{(9-4\\sqrt{3})\\pi}{18}", "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": "(-1,1)", "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": "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": "\\sqrt[6]{18}", "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": "510", "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", "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", "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": "B", "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{9}{5}", "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": "4688", "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": "19", "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": "110", "style": "rule" }
{ "index": -1, "split": "default" }
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