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10,324 | Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
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"value": "Given a positive integer \\( n \\) (where \\( n \\geq 2 \\)), consider an \\( n \\)-layer inverted triangle letter table that meets the following conditions:\n1. The \\( i \\)-th row consists of \\( n+1-i \\) letters, each being one of \\( A, J, Z \\).\n2. Any three adjacent lett... |
8,966 | Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
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"value": "Replace the letters in the word MATHEMATICS with digits and addition or subtraction signs to form a numerical expression that equals 2014. Identical letters represent identical digits or signs, different letters represent different digits or signs. Provide an example."
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5,783 | Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
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"value": "On December 25, 1988, January 1, 1989, and then on July 14 of the same year, three assassination attempts were made on the President of France, which miraculously did not end in a tragic outcome. One was carried out by Corsican separatists, another by Bretons, and finally, the la... |
5,563 | Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
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"value": "\nOn a board, 100 pairwise distinct natural numbers \\( a_{1}, a_{2}, \\ldots, a_{100} \\) are written. Then under each number \\( a_{i} \\), a number \\( b_{i} \\) is written, which is obtained by adding the greatest common divisor (GCD) of the other 99 original numbers to \\( a... |
5,460 | "Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"Prove Boole's inequality:\n\n$$\n\\text { (a) } \\mathrm{P}\\left(\\bigcup_(...TRUNCATED) |
5,164 | "Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"Place the numbers $6, 7, 8, 9, 52, 100$ (you must use all the numbers) inst(...TRUNCATED) |
5,057 | "Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"Ditty can bench $80$ pounds today. Every week, the amount he benches incr(...TRUNCATED) |
4,962 | "Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"Given is a trihedral angle with vertex $S$ and edges $a, b$, and $c$. Rays (...TRUNCATED) |
4,894 | "Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"$13 \\cdot 32$ Given there are 13 silver coins, and exactly 1 of them is a (...TRUNCATED) |
4,648 | "Your role as an assistant involves thoroughly exploring questions through a systematic long thinkin(...TRUNCATED) | [{"from":"user","value":"What is the maximum number of rooks that can be placed on an 8x8 chessboard(...TRUNCATED) |
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