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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": "How can a linear-time attention mechanism be combined with sl...
[ { "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 4th power polynomial \\( P(x) \\) such that \\( P(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": "What are the key differences between stemming and lemmatizati...
[ { "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 Furstenberg correspondence principle relate meas...
[ { "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 \\( F = \\{ f: \\mathbb{N}^* \\to \\mathbb{R} \\mid f(201...
[ { "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": "Suppose we take a normalised quantum mechanical wave function...
[ { "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 have diversified your share portfolio across multiple com...
[ { "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 $5x^{2} - 3y^{2} = 2$." }, { "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": "What's the difference between importance and the nature of kn...
[ { "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 numbers $x$ such that $1 + 2 \\cdot 2^x + 3 \\cdot 3...
[ { "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 pairs \\((a, b)\\) of positive integers that satisfy...
[ { "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 the equation $\\sinh^{-1} x = \\coth^{-1} x$." }, {...
[ { "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": "Evaluate the sum \\( \\sum_{r=1}^{n-1} \\cos^2 \\left(\\dfrac...
[ { "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 function \\( h(t) \\) defined for nonnegative \\( 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": "We are given that $$54+(98\\div14)+(23\\cdot 17)-200-(312\\di...
[ { "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{}. Is it true that ...
[ { "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 clock in motion and another at rest with respect 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": "Create a python 3 class called Board that manages a Bomberman...
[ { "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 circle $\\Gamma$ and a smaller concentric circle $...
[ { "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 three digits of \\( 16^{16^{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": "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": "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": "Find the minimum value of \\( \\frac{ka}{b+c} + \\frac{mb}{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": "Return your final response within \\boxed{}. Two containers w...
[ { "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 values ...
[ { "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{}. In a cube with 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": "Can a unified theoretical framework based on non‑equilibrium ...
[ { "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{}. The probability ...
[ { "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 right triangle with sides 4.5, 9, and 10.1, where 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": "Return your final response within \\boxed{}. Show that the 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": "Let \\( z \\) be a complex number such that \\( z + \\frac{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": "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 \\(ABC\\) be a triangle with incenter \\(I\\) and orthoce...
[ { "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 3-digit numbers do not contain the digit 0 and have ...
[ { "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 the integral\n\\[\n\\int_{-\\pi}^{\\pi} \\exp(e^{ix}...
[ { "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{}. The sides of a 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": "I was reading the second chapter of the first volume of Weinb...
[ { "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 club has 80 members who play golf in foursomes (groups of 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": "Write a Python 3 program that implements a trading bot for 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": "Design a decentralized multi-agent planning algorithm where 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": "Return your final response within \\boxed{}. Three non-negati...
[ { "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 Python3 implementation of a Transformer model using 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": "Create a React component with the following features: - Has 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": "Return your final response within \\boxed{}. Let \\( A_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 all positive integers $n \\ge 2$ such that for all whole...
[ { "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": "How does the combinatorial pattern of H3K27ac and H3K9me3 mod...
[ { "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": "What static analysis techniques can enforce Sendable conforma...
[ { "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{}. If \\(\\frac{18}...
[ { "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": "Jeannie hikes the x miles to Mount Overlook at a pace of 4 mi...
[ { "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 initial value problem given by the system of differ...
[ { "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 the board, 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": "Define \\( S = \\tan^2 1^\\circ + \\tan^2 3^\\circ + \\cdots ...
[ { "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 positive integers \\( m \\) and \\( n \\), find the small...
[ { "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 the subset $F$ of $l^1$ consisting of all sequences ...
[ { "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 \\( 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": "In triangle $\\triangle ABC$, let points $A', B', C'$ be on 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": "In training neural ODEs, how does the reversible adjoint sens...
[ { "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 the three-di...
[ { "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 python3 function that finds the longest binary gap in...
[ { "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{}. In the quadrilat...
[ { "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 cylindrical log has a diameter of 12 inches. A wedge is cut...
[ { "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": "Prove that for beta‑ensembles with analytic potential, the ed...
[ { "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{}. Calculate: $(201...
[ { "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": "Create a Python 3 Django model class named User with fields 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": "Find the complete prime factorization of 49365." }, { ...
[ { "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 \\( a = \\sqrt[4]{x} \\), \\( b = \\sqrt{9 + \\sqrt{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": "Explain how an N:M coroutine scheduler can guarantee lock‑fre...
[ { "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": "Return your final response within \\boxed{}. Someone thought ...
[ { "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": "What is the sum of the reciprocals of the natural-number fact...
[ { "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": "If \\(a\\) is a natural number and \\(b\\) is a digit, and \\...
[ { "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 $a$, $b$, and $n$ such that $(a^3 ...
[ { "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 the equation \\(1 + 3x = (x - x^2)(5 + \\sqrt{15 + 6x -...
[ { "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": "Estimate the limit \\(\\lim_{n \\to \\infty} \\int_{\\alpha}^...
[ { "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{}. Rays are drawn 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": "Examine the convergence of the series ${\\sum_{n=1} ^\\infty}...
[ { "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 \\(a\\), \\(b\\), and \\(c\\) such...
[ { "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 \\) be the set of all \\( n \\)-tuples \\( (x_1, 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": "Write a Spring Boot (Java) backend service exposing full CRUD...
[ { "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 that \\(a, b, n\\) are nonnegative real numbers 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": "There are 2018 cards numbered from 1 to 2018. Tito and Pepe 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": "Return your final response within \\boxed{}. What is the grea...
[ { "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 designing vascularized brain organoids for disease modelin...
[ { "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 value 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": "Investigate the role of quantum Fisher information metric cur...
[ { "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 the context of chromatic homotopy theory, how does the int...
[ { "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...