messages
listlengths
3
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": "Let \\( D, E, F \\) be points on sides \\( BC, CA, AB \\) 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": "Let $\\Delta ABC$ have incenter $I$ and side lengths $AB=1400...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 trapezoid \\(ABCD\\) with \\(AB\\) perpendicular to \\(AD\...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 that the polynomial \\( f(x) \\) with real coefficients...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 a positive...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 40.6 kg object falls from a height of 40.9 m. Calculate its...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "This is related to another question I just asked, but they 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": "Determine whether 996057 is divisible by 13. Explain the divi...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Question: Information: - A composer (Latin \"compn\"; litera...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 python test suite using pytest that verifies the beha...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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{Z} \\to \\mathbb{Z} \\) 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": "Find all positive integers $(x, y)$ with $x < y$ such 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": "Let $S$ be the set of 10-tuples $(a_0, a_1, \\dots, a_9),$ wh...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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{}. There are seven ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "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": "Hey, what should I include in my vegetarian diet to get enoug...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 expressio...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "Evaluate the expression \\( \\frac{1}{2\\pi} \\int_{0}^{2\\pi...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 what ways can Brenier's theorem be extended to characteriz...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "Translate \"The monkey, finding that an audacious attitude, 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": "Describe an algorithmic framework that integrates high‑resolu...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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{}. All natural numb...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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(x) = e^{(p+1)x} - e^x \\) for a real number \\( 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 \\( a, b > 0 \\) and \\( a + b + ab = 3 \\). Calculate 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": "Return your final response within \\boxed{}. If there exists ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 functi...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 set $A$ where 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": "How can I create a HTML markup that displays a list of specif...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 sequence of functions \\( f_n, f \\in L^1 \\cap L^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": "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 that \\(a + b + c = 1\\) and \\(a^3 + b^3 + c^3 = 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": "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": "How can I design software that monitors a server for high usa...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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, b, c, d \\in [-1, \\infty)\\) and \\(a + b + c + d ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 physics‑informed neural networks, what are the theoretical...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 \\in \\left[\\frac{1}{4}, \\frac{1}{2}\\right] \\)....
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 an algorithmic framework that dynamically maps threads...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 constraints does Landauer's principle impose on the desi...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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{}. \nThe decimal re...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 parabola wit...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 Python2 macro for Trac that displays Java documentat...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 \\((3+\\sqrt{3})^x + (3-\\sqrt{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": "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": "If $\\alpha$ and $\\beta$ are the roots of the equation $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": "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": "A single x-ray or similar type beam can pass through a human ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "Determine the real numbers $a$ such that the equation $a 3^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": "A string of 15 letters consisting of only the letters \\(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 bijective functions \\( f: \\mathbf{R} \\longrightar...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "Develop Python code to find and print the largest prime facto...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 ball is dropped from a height of 20 feet onto a perfect fla...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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{}. What is the maxi...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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, b\\) 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 general term of the sequence satisfying the recurren...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 the period \\(P\\) of a pendulum as \\(P = 4k \\int_{0}...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 lattice point is a point whose coordinates are both 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{}. Given that \\( 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 non-negative real numbers $a, b, c, d, e$ where $ab + 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": "Return your final response within \\boxed{}. A movie theater ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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": "Calculate the volume of the pyramid $ABCD$ where the base $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": "Find the number of ways to color a $2 \\times 2$ grid of squa...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 \\( m \\) such that the equation \\( x^3 - mx^2 + mx - 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": "Return your final response within \\boxed{}. Let \\(ABCD\\) 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": "Let $D, E, F$ be the feet of the altitudes $AD, BE, CF$, resp...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 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": "A box contains six cards. Three of the cards are black on bot...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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{}. 33 warriors go 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": "Return your final response within \\boxed{}. Five chess playe...
[ { "role": "system", "content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer." }, { "role": "user", "content": "Now that i finished coding the game.py file, how can i test 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": "For a positive sequence \\(a_1, a_2, \\ldots, a_n\\), define ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 heard mentioned in various classes that neutron stars, l...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 running compet...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 functio...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 triples of positive real numbers $(x,y,z)$ that sati...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 odd integers \\( n \\) with exactly two prime factor...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 \\(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": "Return your final response within \\boxed{}. Let $n > 1$. Ali...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 I clone a row or column vector to a matrix in Python ...
[ { "role": "system", "content": "You are a highly capable AI assistant. For 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 acute-angled scalene triangle with incent...