data_source
stringclasses
8 values
prompt
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2
2
ability
stringclasses
2 values
reward_model
dict
extra_info
dict
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" }
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" }
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": "\\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": "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": "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": "486", "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": "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": "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": "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": "4052169", "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": "31", "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": "1728", "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\\mathrm{Ah}", "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{224}{225}", "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": "14", "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": "1000", "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" }
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": "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": "1360", "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": "6055", "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": "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": "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": "185", "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}{3}x^{3}+C_{1}x+C_{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": "378", "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": "216", "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": "121", "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": "260", "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": "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": "32760", "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": "0.99", "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": "42", "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": "\\frac{249}{800}", "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": "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}{2}e^{x^{2}}+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": "9270", "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": "361", "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-3)^{2}+(y-2)^{2}=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": "108", "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": "1000\\mathrm{M}", "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+\\sqrt{5}}{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": "90", "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": "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": "21", "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^{2n+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": "16,17,21", "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": "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": "180", "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": "120", "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": "13==11\\times182-3\\times663", "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": "100", "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": "53", "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 \\sqrt{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" }
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" }
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": "6", "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": "\\textbf{(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": "150", "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": "x=2, y=5, z=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": "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": "120", "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}{12\\pi}", "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{1}{2017}", "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": "-6,2", "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": "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": "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": "59", "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+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": "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": "0", "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": "2006", "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": "100", "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" }
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": "137", "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": "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": "231", "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": "23", "style": "rule" }
{ "index": -1, "split": "default" }