messages listlengths 3 3 |
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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": "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 integral \\( \\int_0^1 \\frac{ (\\ln{x})^5}{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": "Return your final response within \\boxed{}. Tangents were dr... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "When we say Laser transverse modes. Is that mean what we will... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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{}. Out of four phot... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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: [0,1] \\to \\mathbb{R} \\) be a differentiable fun... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "According the book Semiconductor Physics and Devices by Donal... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 any planar graph with maximum degree Δ, 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": "Find the total sum of all 5-digit numbers that can be formed ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Read problem statements in [Mandarin], [Bengali], [Russian], ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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's really interesting. I would love to experience the Hol... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 function that processes an HDF5 file contain... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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$$\\int^a_{0}\\sqrt{\\frac{a-x}{a+x}}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": "Find the area of a triangle with base 17.63 and height 24.94.... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 limit \\(\\lim_{x \\to 0^+} \\left( (\\sin x)^{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": "Given the sequence defined by:\n\\[\n\\left\\{ \\begin{gather... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 graph $G$ with $n$ vertices, every minute remove all ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 functional equation \\( f(x+1) = f(x) + 1 \\) for 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": "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 mechanistic model of resource allocation in cell‑fr... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 do you explain the nature of art to someone who believes ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 maximum value of the function \\( f(x) = \\int_0^1 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": "Given a Directed Acyclic Graph of N vertices from 0 to N-1 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": "How can dynamic code loading be securely verified within an 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": "How can you design a SPIR-V optimizer that merges redundant 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": "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 integral \\( I_1 = \\int_{0}^{\\pi} \\sin(x) \\sin(... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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{}. Restore the digi... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 many zeros are at the end of \\(2004!\\)?"
},
{
"... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 three vertices of a parallelogram \\( A(1,1,0) \\), \\(... |
[
{
"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": "Write a python function that takes a list of stock prices 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": "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": "Write a function that checks whether a string contains a spec... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 functional renormalization group framework for a non-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": "That's great! Can you show me how to use these shortcuts in 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": "Solve the system of equations in $\\mathbb{R}$:\n\\[ x_1^2 - ... |
[
{
"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": "Four points are chosen at random from a 5x5 grid of dots (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": "Design and implement a REST API for reviews in ASP.NET Core (... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 function that initializes an AWS session usi... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "It's interesting to see how companies in the food and beverag... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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\\), 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": "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 convex hexagon where each side has a length of $1$, let ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 asymptotic performance implications of N:M corou... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 and \\(DEF\\) be points on sides ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 center 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": "Return your final response within \\boxed{}. Let $X$ be a 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": "How can I remove duplicates from a given linked list using Py... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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": "Can a hierarchical composition of Rényi differential privacy ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 partial derivatives of the function \\( f(x, y) = 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": "Return your final response within \\boxed{}. Let \\( M \\) 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": "Evaluate the sum $\\frac{1}{a_1}+\\frac{1}{a_2}+\\frac{1}{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": "Find the number of integers $n$ that satisfy both of the foll... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Approximate the value of \\( g(1000) \\) where \\( g(x) = \\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": "Create a Python Flask application that sets up RESTful API ro... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 Koch Curve starting with a line of length \\( 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": "In rectangle $ABCD$ with $AB=32$ and $BC=24$, point $F$ is ta... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "An eccentric mathematician has a ladder with $n$ rungs. When ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 theoretical convergence guarantees and practical... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "$2018$ little ducklings numbered $1$ through $2018$ are stand... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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{}. 51 points are ra... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 $\\displaystyle\\sum_{n=1}^{\\infty}\\dfrac{B(n)}{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": "Evaluate the following limit for \\( p \\ge 3 \\) and \\( 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 spaceship is at $ (0,0,0)$. Every time it teleports, it mov... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 $m$: $(m-4)^3 = \\left(\\frac 18\\right)^{-1}$."
... |
[
{
"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": "Evaluate the sum $\\sum^{n}_{k=0}(-4)^k\\binom{n+k}{2k}$."
... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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": "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": "Let \\(ABC\\) be an acute triangle with altitude \\(AH\\) 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": "Can the interaction between the chromatic filtration at heigh... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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": "Instead of asking which functions grow the slowest, could you... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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}^+ \\cup \\{0\\}]^2 \\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": "How can Bayesian hierarchical models be integrated with sub‑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": "For each positive integer $n$, let $f(n)$ be the smallest 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": "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{}. Vítek has writte... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 triangle \\( \\triangle ABC \\) with incenter \\( 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": "Let \\(a, b, c\\) be positive real numbers such that \\(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 integer triples \\((p, q, r)\\) such that:\n\\[ 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": "Within the geometric Satake framework, how does one construct... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 \\( f(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 integer triplets \\( (a, b, c) \\) such tha... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Choose your answer. Wireless-J standard opens Japan to the Wi... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 which positive integers \\( n \\) does 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": "How can recursive composition of SNARKs be optimized to achie... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 amortized variational inference in probabilistic pro... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Two circles intersect at points $A$ and $B$. A straight line ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For 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 $a,$ $b,$ and $c$ be nonzero real numbers such that $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... |
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