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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": "Given a prime number \\( p \\), matrices \\( A \\) and \\( 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": "Create a for loop in Python to find the combined length of 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": "Let \\( F = \\frac{f(r)t}{r} \\) (where \\( r = |t| \\)) be 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": "Create a python3 Django admin configuration file that registe...
[ { "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 for \\( x \\) in terms of \\( y \\) in the equation \\(...
[ { "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 \\( \\int \\frac{x \\sin x + n \\cos 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": "Given that \\( p \\) is a prime number, \\( a \\) and \\( 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 the maximal value of the constant \\( k \\) such that fo...
[ { "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 130 m race, A covers the distance in 36 seconds and B 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": "What's the difference between spirituality and excellence?" ...
[ { "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 Python3 script that defines and stores six different...
[ { "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": "Ai and Beth each have $2023$ dollars. They also each have 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": "Compare the convergence properties of Chebyshev pseudospectra...
[ { "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 pairs of integers $(x, y)$ satisfy the equation $\\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": "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 two Python helper functions: one to convert bytes to 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": "So I know that when you collide particles with high enough ki...
[ { "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 $ABC$, $\\angle A = 45^\\circ$ and $\\angle C = 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": "I love baklava! Can you recommend a good place in Gaziantep 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": "Teams A and B play a series of games. A wins with 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": "Determine all triplets \\((a, b, c)\\) of positive integers 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": "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 one formulate a mathematically rigorous regularizatio...
[ { "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": "Why don't we assume the protons wave function spreads out uni...
[ { "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{}. Masha has two-ru...
[ { "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 an event-sourced microservice guarantee exactly‑once ...
[ { "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 I attach a magnet to the outside of an oil filter (aiming ...
[ { "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 all functions \\( g: \\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": "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 many minimum cubes of the same size does Vahid need to co...
[ { "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 the wave front set of a solution to a hyperbolic ...
[ { "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": "Multi-choice problem: Based on the sentence \"A man and a wom...
[ { "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 a continuous function $f : \\mathbb{R} \\to \\mathbb{R}$...
[ { "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": "Let \\( S = \\{ 1, 2, \\ldots, 2008 \\} \\). Find the minimum...
[ { "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 construction of a transfinite Grundy function fo...
[ { "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 function to sort a list of dictionaries by a g...
[ { "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 buses operat...
[ { "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": "Set $A$ has $5$ different numbers. If we sum each pair of num...
[ { "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{}. Write the equati...
[ { "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": "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{}. Given square \\(...
[ { "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": "Increase the difficulty of the programming test question by 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": "The octagon $P_1 P_2 P_3 P_4 P_5 P_6 P_7 P_8$ is inscribed 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{}. Let \\( Z = XY \...
[ { "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": "Why is indexing important in databases? Write corresponding c...
[ { "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 ICE candidate pair prioritizat...
[ { "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 is a box on the surface of earth. The earth exerts a fo...
[ { "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 length of 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": "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": "There exist $ r$ unique nonnegative integers $ n_1 > 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": "In the complex plane, let the points $A(-1)$, $B(1)$, and $C(...
[ { "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 the ellips...
[ { "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 does the subordination function for operator-valued free ...
[ { "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 Python code can you create to remove the second characte...
[ { "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 circles ar...
[ { "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 spherical planet with center at \\((0,0,0)\\) and radius 20...
[ { "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 many isosceles triangles with an area of 1 have a side 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": "I've read many times, including here on this very site that 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{}. When the integer...
[ { "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 complete qu...
[ { "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 combining lattice reduction techniques with elliptic...
[ { "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 six-dig...
[ { "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 novel transportation-cost inequality can be derived 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": "Evaluate the double integral $\\iint_{\\frac{x^{2}}{a^{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": "Find all values of \\( x_0 \\in (0,1) \\) such that the funct...
[ { "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 all integers $n > 1$ such that every power of $n$ h...
[ { "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": "Construct an isosceles triangle \\( ABC \\) (\\( AB = BC \\))...
[ { "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: 2^1 ÷ 2^4. State the exponent rule used." }, {...
[ { "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 an equilateral triangle with area \\(1\\). P...
[ { "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 triangle \\(ABC\\) be an isosceles triangle with \\(AB = ...
[ { "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 distance, in units, between the points $(3, -2)$ ...
[ { "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": "Evaluate the integral $\\int \\frac{1+\\sin x}{x \\cos 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": "Return your final response within \\boxed{}. In 1893, someone...
[ { "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 set \\( T = \\{1, 2, 3, \\ldots, 2020\\} \\). Find the 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": "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 real numbers satisfying \n\\[\n(x+1)(y...
[ { "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 \\((2X^3 + X - 3)^3 = 3 - X^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": "Consider the space \\( X = \\mathbb{R}^{[0,1]} \\) with the p...
[ { "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": "Conceive a cryptographically strong, randomized sequence inte...
[ { "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 all functions \\( f: \\mathbb{R} \\to \\mathbb{Q} \\) 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": "Return your final response within \\boxed{}. For which 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": "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": "Below you are given code written in python that contains the ...