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[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Given that one r...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "How does the interplay between cache-oblivious Bε‑tree leaf s...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find the minimum value of \\( F = \\frac{a^2 + 2b^2}{2b(a + b...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all odd integers \\( n \\) such that \\( n \\) divides \...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given \\(a, b, c > 0\\) and \\(a + b + c = 3\\), find the bes...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Solve the system of equations in real numbers:\n\\[\n\\{ x \\...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all positive integers \\( n \\) such that \\( n \\mid 4 ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find the area of a triangle with base 34.1 and height 7.16." ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Let \\( p \\) an...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Create an input validation function in Python which checks th...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given a parallelogram \\(ABCD\\) with \\(AB < AC < BC\\), poi...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Q: In this task, you are given a context tweet, a question an...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Let $N$ be the n...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "I'm not a physicist. I want to understand the macroscopic Ma...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given NICER pulse‑profile measurements for a 1.4 M⊙ neutron s...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Are there exactl...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Find the limit o...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given the ideal \\( I = (x^2y + xz - 2z^2, yz + 1) \\subseteq...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. On 300 cards, al...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Write a function to find the maximum number of unique pairs i...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Find all solutio...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find the last two digits of $1234^{23}$." }, { "role"...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "That is really upsetting to hear. Is anything being done to a...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "A fair 6-sided die is repeatedly rolled until an odd number a...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given \\(a, b, c > 0\\) and \\(ab + bc + ca = 1\\), find the ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Design a retrieval‑augmented generation pipeline that couples...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Evaluate $\\int{(\\log{x})^2}{dx}$." }, { "role": "as...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all functions \\( f: \\mathbb{R} \\to \\mathbb{R} \\) su...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Find a sphere th...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "A photo is printed on an 11-inch by 13-inch piece of paper. T...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given a rectangle \\(ABCD\\) with a circle centered at point ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Determine the probability that a person who buys $n$ boxes of...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Is Relativistic event horizon half of Newtonian event horizon...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "How good is the estimate of the sum \\( \\frac{1}{1} + \\frac...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all functions \\( f: \\mathbb{R} \\rightarrow \\mathbb{R...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find the largest positive integer $k$ such that $\\phi ( \\si...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find the relations among the angles of triangle \\(ABC\\) giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all arithmetic sequences with 9 terms such that each ter...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "I am generally interested in the role of pings(0a) between pa...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "There are $n$ kids standing in a circle on the beach. Initial...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "convert this code to python: ```clojure (defn count-segments ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "How many triples of positive integers $(x,y,z)$ satisfy the f...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "For a convex quadrilateral \\(ABCD\\), a point \\(P\\) in the...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Solve the equation \\((\\sin(x) + \\sin(2x) + \\sin(3x))^2 + ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Write a humorous story, set in the Zootopia universe, about N...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "The real numbers $c, b, a$ form an arithmetic sequence with $...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "$2016$ bugs are sitting at different points on a 1-meter stic...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Let \\( x_1 = 1 \\) and \\( x_{n+1} = 2x_n + 3^n \\). Find th...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "In a regular octagon $ABCDEFGH$ with center $J$, each of the ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Solve the system of equations:\n\\[ x_{1} = \\frac{1}{2} \\le...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Let \\( S = 2^4 + 3^4 + 5^4 + 7^4 + \\cdots + 17497^4 \\) be ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Write a Python Program to print out the first n prime numbers...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "In Swift's structured concurrency model, how can one formally...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "I really appreciate all of these tips, thank you so much for ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "How can a hybrid DPDK‑io_uring architecture be designed to ac...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Create a python class hierarchy for a dungeon-based game map ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Let \\( x, y, z \\) be positive reals such that \\( x + y + z...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all integer solutions for $(x,y)$ such that $x,y\\geq 1$...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "How does the interplay between non-Hermitian gain–loss engine...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Define $\\#N$ by the formula $\\#N = .5(N) + 1$. Calculate $\...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. Prove that the e...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. How many necklac...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "In a neutral conductor if we assume electrons as point charge...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "A cuboidal wall of dimensions $12 \\times 18 \\times 16$ is m...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Solve the system of equations for \\(x\\) and \\(y\\):\n\\[ 2...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "You get an array of numbers, return the sum of all of the pos...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find all integer solutions to the equation $x^{4} + y^{4} - 4...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Solve using dynamic programming in Go: minimum edit distance ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Simplify the expression \\( \\frac{2^3}{2^2} \\)." }, { ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Below you are given code written in rust that contains the fu...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Kelly puts string cheeses in her kids lunches 5 days per week...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Return your final response within \\boxed{}. (a) A natural nu...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given integers \\( x_1 < x_2 < \\cdots < x_n \\) and \\( y_1 ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Find the minimum value of \\( P = \\cos x + \\cos y - \\sin x...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Consider a continuous bijection \\( f: A \\to B \\) where \\(...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "How does the quorum intersection property differ between Raft...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Below you are given code written in javascript that contains ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Generate an executable Python function generated from the giv...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Given two freely independent operator‑valued random variables...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Below you are given code written in python that contains the ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Under what conditions does a time‑dependent Hamiltonian syste...