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[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "For a positive integer \\( n \\), consider the function\n\n\\[ \nf(n)=\\frac{4n+\\sq...
[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "Once upon a time, a team of Knights and a team of Liars met in the park and decided ...
[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "Find the biggest real number $ k$ such that for each right-angled triangle with si...
[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "Given \\( \\theta_{1}, \\theta_{2}, \\theta_{3}, \\theta_{4} \\in \\mathbf{R}^{+} \\...
[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "The center of the circle inscribed in a trapezoid is at distances of 5 and 12 from t...
[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "A word is an ordered, non-empty sequence of letters, such as $word$ or $wrod$ . H...
[ { "role": "system", "content": "You are a helpful and harmless assistant. You are Qwen developed by Alibaba. You should think step-by-step. Return final answer within \\boxed{}." }, { "role": "user", "content": "Given a parabola \\(C\\) with the center of ellipse \\(E\\) as its focus, the parabo...
[{"role":"system","content":"You are a helpful and harmless assistant. You are Qwen developed by Ali(...TRUNCATED)
[{"role":"system","content":"You are a helpful and harmless assistant. You are Qwen developed by Ali(...TRUNCATED)
[{"role":"system","content":"You are a helpful and harmless assistant. You are Qwen developed by Ali(...TRUNCATED)
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