system stringclasses 1 value | conversations listlengths 2 2 |
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<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "What is the critical temperature of a superconducting thin film made of lead with a thickness of 100 nm? And, how does the critical temperature vary with the thickness of the lead film, assuming that the film is perfectly clean and free from any defects?"
},
{
"from": "as... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here: \"How many different four-digit numbers can be formed by rearranging the four digits in 2004?\" and the options are from 4 to 81. Alright, let's see.\n\nFirst, I need to understand what it's asking. I have the digits 2, 0, 0,... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's break it down step by step. So, I'm given a grid of size n by m, and there's a point (x, y) on this grid. I need to find the largest possible sub-rectangle that includes (x, y) and has a specific ratio of side... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem: \"How many of the numbers from the set \\(\\{1, 2, 3, \\ldots, 50\\}\\) have a perfect square factor other than one?\" I need to figure out how many numbers in this set have at least one factor that is a perfect square, excluding on... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let $x$ and $y$ be real numbers such that\n\\[\\frac{\\sin x}{\\cos y} + \\frac{\\sin y}{\\cos x} = 1 \\quad \\text{and} \\quad \\frac{\\cos x}{\\sin y} + \\frac{\\cos y}{\\sin x} = 6.\\]Compute\n\\[\\frac{\\tan x}{\\tan y} + \\frac{\\tan y}{\\tan x}.\\]"
},
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<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "What is the Gibbs free energy change (ΔG) for the combustion of propane (C3H8) at 25°C and 1 atm pressure? The balanced chemical equation is:\n\nC3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(g)\n\nGiven standard Gibbs free energy of formation (ΔGf°) values in kJ/mol: \nC3H8(g): -103.8\nCO2(g... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Kefa decided to celebrate his first big salary by going to the restaurant. \n\nHe lives by an unusua... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I have this problem about calculating the Gibbs free energy change for the combustion of propane. The reaction is C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(g), and I'm given the standard Gibbs free energy of formation values for each substance involved. T... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem here: I need to find out how many sets of three different numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} add up to 15, and specifically, how many of these sets contain the number 5. The options are from 3 to 7.\n\nFirst, I need to ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nLet's see what we've got here. There are two statements given:\n\n1. All alligators are ferocious creatures.\n\n2. Some creepy crawlers are alligators.\n\nAnd then there are three conclusions:\n\nI. All alligators are creepy crawlers.\n\nII. Some ferocious... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, so I've got this problem here about complex polynomials. It says that f(z) is an n-th degree polynomial with complex coefficients, and I need to prove that there exists a complex number z₀ with |z₀| ≤ 1 such that |f(z₀)| ≥ |C₀| + |Cₙ|. Okay, let's... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Which of the following integers cannot be written as the sum of four consecutive odd integers?\n$\\textbf{(A)}\\text{ 16}\\quad\\textbf{(B)}\\text{ 40}\\quad\\textbf{(C)}\\text{ 72}\\quad\\textbf{(D)}\\text{ 100}\\quad\\textbf{(E)}\\text{ 200}$"
},
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... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I've got this problem about calculating the magnetic anisotropy energy. Let me see what it's asking for. So, there's a crystal system with an easy axis of magnetization in the [001] direction. I've heard that uniaxial anisotropy means the material... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem here: \"What is the largest positive integer \\( n \\) for which there is a unique integer \\( k \\) such that \\( \\frac{8}{15} < \\frac{n}{n + k} < \\frac{7}{13} \\)?\" Hmm, that's a bit of a mouthful, but let's break it down step ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let $S$ be a set of integers (not necessarily positive) such that\n(a) there exist $a,b \\in S$ with $\\gcd(a,b) = \\gcd(a - 2,b - 2) = 1$;\n(b) if $x$ and $y$ are elements of $S$ (possibly equal), then $x^2 - y$ also belongs to $S$. \nProve that $S$ is the set of all integers."
... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "What is the relationship between blood viscosity, vessel radius, and blood flow rate in the cardiovascular system? Solve using the Hagen-Poiseuille equation."
},
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"value": "<|begin_of_thought|>\n\nAlright, so I've got this question about blood vi... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let's see what it's asking for. So, Dreamoon wants to climb a staircase with n steps, and he can climb either 1 or 2 steps at a time. The twist is that he wants the number of moves to be a multiple of an integer m. I ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "For a real number $a$, let $\\lfloor a \\rfloor$ denote the [greatest integer](https://artofproblemsolving.com/wiki/index.php/Ceiling_function) less than or equal to $a$. Let $\\mathcal{R}$ denote the region in the [coordinate plane](https://artofproblemsolving.com/wiki/index.php... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "\"Calculate the frequency and wavelength of gravitational waves emitted by two neutron stars with a combined mass of 3 solar masses orbiting around each other at a distance of 300 km before they merge, based on the information detected by the LIGO observatory.\""
},
{
"fr... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|> \n\nSo I'm trying to figure out this license plate problem. It says that a license plate consists of 4 digits and 2 letters, and these six characters can be in any order except that the two letters must appear next to each other. Hmm, okay, let's break this d... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"from": "user",
"value": "When a positive integer is expressed in base 7, it is $AB_7$, and when it is expressed in base 5, it is $BA_5$. What is the positive integer in decimal?"
},
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here. It says that a positiv... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"from": "user",
"value": "What is the $100$th digit after the decimal point when $\\frac{3}{26}$ is expressed as a decimal?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|> \n\nSo I have this problem: \"What is the 100th digit after the decimal point when \\(\\frac{3}{26}\\) is expres... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nOkay, so I've got this probability problem here. Let's see what it's asking.\n\nThere are 5 blue chips, 4 red chips, and 3 yellow chips in a bag. That means the total number of chips is 5 + 4 + 3 = 12 chips.\n\nFirst, one chip is drawn from the bag, and th... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nLet's tackle this problem step by step. So, the worker gets a 20% cut in wages, and we need to find out what percentage raise he needs to get back to his original pay.\n\nFirst, let's assume his original wage is $100. That makes it easier to calculate per... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "A right circular cone has for its base a circle having the same radius as a given sphere. \nThe volume of the cone is one-half that of the sphere. The ratio of the altitude of the cone to the radius of its base is:\n$\\textbf{(A)}\\ \\frac{1}{1}\\qquad\\textbf{(B)}\\ \\frac{1}{2}... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I have to solve this problem. Let's read it carefully.\n\nSo, there are m schools participating in a tournament, and each school sends one student. There are n students in total from these m schools, and k of them are \"Chosen Ones\" that Arkady w... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nOkay, so Onkon wants to cover his room's floor with red carpet. The floor is rectangular, and it's 12 feet long and 9 feet wide. I need to find out how many square yards of carpet are required.\n\nFirst, I should probably find the area of the floor in squa... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem here: Given two ellipses with their foci and major axes, construct the common tangents to the two ellipses if one of their foci coincides. Hmm, interesting. I need to find the common tangents between two ellipses that share a focus. ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "There are lily pads in a row numbered $0$ to $11$, in that order. There are predators on lily pads $3$ and $6$, and a morsel of food on lily pad $10$. Fiona the frog starts on pad $0$, and from any given lily pad, has a $\\frac{1}{2}$ chance to hop to the next pad, and an equal c... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "A ball travels on a parabolic path in which the height (in feet) is given by the expression $-16t^2+32t+15$, where $t$ is the time after launch. What is the maximum height of the ball, in feet?"
},
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"value": "<|begin_of_thought|>\n\nSo I have thi... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "There is a unique polynomial $P(x)$ of degree $4$ with rational coefficients and leading coefficient $1$ which has $\\sqrt{2}+\\sqrt{5}$ as a root. What is $P(1)$?"
},
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"value": "<|begin_of_thought|> \n\nSo I've got this problem here: there's a u... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Young Luka is about to enter a house with the evil witch Marica inside. As soon as he enters the hou... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "A laser is placed at the point $(3,5)$. The laser beam travels in a straight line. Larry wants the beam to hit and bounce off the $y$-axis, then hit and bounce off the $x$-axis, then hit the point $(7,5)$. What is the total distance the beam will travel along this path?\n$\\textb... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Find the functions \\( f: \\mathbb{R}_{*}^{+} \\rightarrow \\mathbb{R}_{*}^{+} \\) such that\n\n$$\nf(x) f(y f(x)) = f(x + y)\n$$"
},
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"value": "<|begin_of_thought|>\n\nOkay, so I have this functional equation to solve: \\( f: \\mathbb{R}_{*}^{+}... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|> \n\nSo I need to find the sum of the first seven prime numbers that end with a 7. Alright, let's start by recalling what prime numbers are. Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. So, I need to find... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A worm is at the bottom of a pole. It wants to reach the top, but it is too lazy to climb to the top... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "What is the equilibrium constant, Kc and Kp, for the reaction: \n\n2Fe^2+(aq) + H2O2(aq) + 2H^+(aq) → 2Fe^3+(aq) + 2H2O(l)\n\nGiven the following concentrations at equilibrium:\n\n[Fe^2+] = 0.027 M\n[H2O2] = 0.015 M\n[Fe^3+] = 0.016 M\n[H+] = 0.022 M\n\n(R = 0.0821 L atm/mol K, a... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "[Set](https://artofproblemsolving.com/wiki/index.php/Set) $A$ consists of $m$ consecutive integers whose sum is $2m$, and set $B$ consists of $2m$ consecutive integers whose sum is $m.$ The absolute value of the difference between the greatest element of $A$ and the greatest elem... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given array a with n integers and m queries. The i-th query is given with three integers l_{... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Mary chose an even $4$-digit number $n$. She wrote down all the divisors of $n$ in increasing order from left to right: $1,2,...,\\dfrac{n}{2},n$. At some moment Mary wrote $323$ as a divisor of $n$. What is the smallest possible value of the next divisor written to the right of ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Given two real numbers $1<p<q$ so that $\\frac{1}{p} + \\frac{1}{q} = 1$ and $pq = \\frac{9}{2}$, what is $q$?"
},
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here with two real numbers, p and q, where 1 < p < q. They satisfy two ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here. It says that a, b, c, and d are positive integers such that a raised to the fifth power equals b raised to the fourth power, c cubed equals d squared, and c minus a equals 19. I need to find d minus b. Okay, let's break this ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nLet's tackle this integral step by step. The integral we need to compute is:\n\n\\[\n\\int_{0}^{1} \\frac{(4 \\sqrt{1-x}-\\sqrt{2 x+1}) \\, dx}{(\\sqrt{2 x+1}+4 \\sqrt{1-x})(2 x+1)^{2}}\n\\]\n\nThat's a pretty complicated-looking integral, but maybe there'... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I've got this problem to solve. It's about recovering a password based on some sequences and rules. Let's try to break it down step by step.\n\nFirst, there's a 32-letter alphabet, and each letter is represented by its ordinal number, which is a pair of... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nSo I've got this problem here. It says that there's an increasing sequence of natural numbers, \\( a_1, a_2, \\ldots \\), and every natural number can be uniquely represented in the form \\( a_i + 2a_j + 4a_k \\), where \\( i, j, k \\) are not necessarily... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's dive into this problem. It's a bit intricate, but I'll take it step by step. So, we have a natural number greater than one million, and it has this property that when you keep shortening it—that is, removing its last digit—you get a square, then a cu... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I'm trying to understand how changing the parameters of the Rössler attractor affects its chaotic dynamics. So, first off, I know that the Rössler system is a set of three differential equations that describe the time evolution of variables x, y, ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I have this problem here about a student council selecting committees. They need to choose a two-person welcoming committee and a three-person planning committee, and there are exactly 10 ways to select the two-person committee. The question is asking h... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "How does the reaction rate affect the safety of a chemical reaction, and what steps can be taken to ensure safe handling of the chemicals involved in the reaction?"
},
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"value": "<|begin_of_thought|>\n\nOkay, so I need to figure out how the react... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"from": "user",
"value": "<|begin_of_thought|>\n\nI've got this geometry problem here, and honestly, it's been a while since I've delved into this stuff, but I'm up for a challenge. Let's see what we've got.\n\nWe have an acute triangle ABC, and there's a point D inside it with some specific properties:\n... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, let's tackle this problem. So, we've got a spaceship orbiting a planet that's 10 times the mass of the Sun, and it's doing so at a velocity of 0.8 times the speed of light. We need to find out by what factor time on the spaceship is dilated compar... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nSo I've got this problem here about right regular prisms, which are basically just boxes, and it's asking about the lengths of their external diagonals. An external diagonal is defined as a diagonal of one of the rectangular faces of the box. So, for a bo... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|> \n\nSo I'm trying to find the area of an annulus, which is the region between two concentric circles. The larger circle has radius b and the smaller one has radius c, with b > c. There's a bunch of points and lengths given: O is the center, X is a point on th... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Robot Turtles is one of Theta’s favorite games. In this game, kindergarteners learn how to “code” by... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Find the point on the line defined by\n\\[\\begin{pmatrix} 4 \\\\ 0 \\\\ 1 \\end{pmatrix} + t \\begin{pmatrix} -2 \\\\ 6 \\\\ -3 \\end{pmatrix}\\]that is closest to the point $(2,3,4).$"
},
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"value": "<|begin_of_thought|>\n\nSo I have this proble... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Place 2023 circles in the plane in such a way that no three circles are concurrent and any two circles intersect at exactly two distinct points. The circles divide the plane into regions bounded by circular arcs meeting at vertices. It is observed that there is an even number of ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let's read it carefully.\n\nSo, there are n characters in Overcity, and some of them are friends with each other. Friends share information, meaning if one friend knows the rumor, they tell it to their friends, and so... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Given a triangle \\(ABC\\) with altitudes \\(AA_1\\), \\(BB_1\\), and \\(CC_1\\). Prove that the Euler lines of the triangles \\(AB_1C_1\\), \\(A_1BC_1\\), and \\(A_1B_1C\\) intersect at a point \\(P\\) on the nine-point circle such that one of the segments \\(PA_1\\), \\(PB_1\\)... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nI'm looking at this problem: If the equation \\( p x^{2} + q y^{2} = 1 \\) has at least one positive integer solution \\((x^*, y^*)\\), where \\( p \\) and \\( q \\) are natural numbers and \\( p q \\) is not a perfect square, then there are infinitely man... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nAlright, I'm trying to solve this problem about Sally and her friends crossing a river with boulders and log planks. It seems like a graph traversal problem where the banks and boulders are nodes, and the log planks are edges that can be traversed only onc... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?"
},
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here. The... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"from": "user",
"value": "When $x$ is added to both the numerator and denominator of the fraction \n$\\frac{a}{b},a \\ne b,b \\ne 0$, the value of the fraction is changed to $\\frac{c}{d}$. \nThen $x$ equals:\n$\\text{(A) } \\frac{1}{c-d}\\quad \\text{(B) } \\frac{ad-bc}{c-d}\\quad \\text{(C) } \\frac{ad-... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "In a room containing $N$ people, $N > 3$, at least one person has not shaken hands with everyone else in the room. \nWhat is the maximum number of people in the room that could have shaken hands with everyone else?\n$\\textbf{(A) }0\\qquad \\textbf{(B) }1\\qquad \\textbf{(C) }N-1... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Which one of the following points is not on the graph of $y=\\dfrac{x}{x+1}$?\n$\\textbf{(A)}\\ (0,0)\\qquad \\textbf{(B)}\\ \\left(-\\frac{1}{2},-1\\right)\\qquad \\textbf{(C)}\\ \\left(\\frac{1}{2},\\frac{1}{3}\\right)\\qquad \\textbf{(D)}\\ (-1,1)\\qquad \\textbf{(E)}\\ (-2,2)... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Little Vitaly loves different algorithms. Today he has invented a new algorithm just for you. Vitaly... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Let $1$; $4$; $\\ldots$ and $9$; $16$; $\\ldots$ be two arithmetic progressions. The set $S$ is the union of the first $2004$ terms of each sequence. How many distinct numbers are in $S$?\n$\\mathrm{(A) \\ } 3722 \\qquad \\mathrm{(B) \\ } 3732 \\qquad \\mathrm{(C) \\ } 3914 \\qqu... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \nLet's see. I have this problem here: there are two circles, C1 and C2, both with radius 1, and they're tangent to each other. I need to find out how many circles of radius 3 are in the same plane and tangent to both C1 and C2. The options are 2, 4, 5, 6, o... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here: \"What is the maximum number of balls of clay of radius 2 that can completely fit inside a cube of side length 6, assuming the balls can be reshaped but not compressed before they are packed in the cube?\" The options are fro... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\nAlright, I've got this problem to solve. Let's try to understand what's being asked here. So, there's this process called \"explodification\" where a laser charge is fired at an atom, and based on the number of neutrons it has, it either releases a certain a... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's about. So, there are n friends who are getting their photo taken, and each friend can either stand or lie down, which changes their dimensions in the photo. I need to figure out how to arrange th... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nSo I've got this geometry problem here. Let's see what it's asking.\n\nWe have square ABCD with its center at (8, -8) and an area of 4 square units. The top side is horizontal. First, I need to find the coordinates of the vertices of this square.\n\nSince... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.We have a chocolate bar partitioned into H horizontal rows and W vertical columns of squares.\nThe s... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "In $\\triangle ABC$, sides $a,b$ and $c$ are opposite $\\angle{A},\\angle{B}$ and $\\angle{C}$ respectively. $AD$ bisects $\\angle{A}$ and meets $BC$ at $D$. \nThen if $x = \\overline{CD}$ and $y = \\overline{BD}$ the correct proportion is: \n$\\textbf{(A)}\\ \\frac {x}{a} = \\fr... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. So, I've got this fraction: \\(\\frac{a^{-4} - b^{-4}}{a^{-2} - b^{-2}}\\), and I need to simplify it to see which one of these options it matches up with. The options are all different combinations of \\(a\\) and \\... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here about two circles with different radii and centers P and Q. The larger circle has center P and radius p, and the smaller one has center Q and radius q. Then, it says to draw PQ, which I assume is the line segment connecting th... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Let $x$ and $y$ be positive real numbers such that\n\\[\\frac{1}{x + 2} + \\frac{1}{y + 2} = \\frac{1}{3}.\\]Find the minimum value of $x + 2y.$"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. We have two positive r... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nLet's dive into this problem. We have a recursive sequence defined by \\( t_1 = 20 \\), \\( t_2 = 21 \\), and for \\( n \\geq 3 \\), \\( t_n = \\frac{5t_{n-1} + 1}{25t_{n-2}} \\). We need to find \\( t_{2020} \\) expressed as \\( \\frac{p}{q} \\), where \... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's see what this problem is asking. I have to determine which of these statements is correct based on the given conditions. There are five options, each with a different if-then statement involving inequalities with x and x squared. I need to think abou... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's asking for. So, I'm given multiple test cases, each consisting of an array of integers, and I need to determine if there's a subsequence of at least length 3 that is a palindrome.\n\nFirst, I nee... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Find $x$ if\n\\[1 + 5x + 9x^2 + 13x^3 + \\dotsb = 85.\\]"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. The series given is:\n\n\\[1 + 5x + 9x^2 + 13x^3 + \\dotsb = 85.\\]\n\nFirst, I need to recognize the pattern ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's asking for. I need to find the number of integer sequences of length N, where each element A_i satisfies 0 ≤ A_i ≤ 9, and there exists at least one A_i that is 0 and at least one A_i that is 9. A... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Prove the following divisibility rules in the base-12 number system:\n\na) A number is divisible by 11 if and only if the sum of its digits is divisible by 11.\n\nb) Sum every second digit separately from the others. Prove that a number is divisible by 13 if and only if the diffe... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "A positive integer $n$ not exceeding $100$ is chosen in such a way that if $n\\le 50$, then the probability of choosing $n$ is $p$, and if $n > 50$, then the probability of choosing $n$ is $3p$. The probability that a perfect square is chosen is\n$\\textbf{(A) }.05\\qquad \\textb... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nSo I need to find out how many perfect squares less than 1000 end with the digits 2, 3, or 4. Alright, let's break this down step by step.\n\nFirst, I need to understand what a perfect square is. A perfect square is a number that can be expressed as the s... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this probability problem here. Let's see what it's asking.\n\nWe have a deck of four red cards labeled A, B, C, D and four green cards labeled A, B, C, D. So in total, there are 8 cards: 4 red and 4 green, each with labels from A to D.\n\nThe p... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Let $a,$ $b,$ and $c$ be the roots of $x^3 - 7x^2 + 5x + 2 = 0.$ Find\n\\[\\frac{a}{bc + 1} + \\frac{b}{ac + 1} + \\frac{c}{ab + 1}.\\]"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. We have a cubic equation \\( x... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "What has perple all over it on it and green on its tummy and is on TBS?\nA: olive\nB: bowls\nC: tablespoon\nD: salad days\nE: musterd soup"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, let's see. I've got this question here: \"What has perple a... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nAlright, I've got this problem about hyperbolas, and it's a bit involved, so I need to take it step by step. Let's start by understanding the given information and what's being asked.\n\nWe have a hyperbola given by the equation:\n\n\\[\\frac{y^{2}}{a^{2}... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this inequality to solve: \\(\\frac{(x-a)(x-b)}{x-c} \\leq 0\\), and it's supposed to hold true under specific conditions: either \\(x < -4\\) or \\(|x - 25| \\leq 1\\). Also, I know that \\(a < b\\), and I need to find the value of \\(a + 2b +... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I'm trying to figure out how changing the pH of the reaction mixture affects the rate of the iodine clock reaction between potassium iodate and sodium bisulfite. Okay, first things first, I need to understand what the iodine clock reaction is. Fro... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Recover the pentagonal number theorem using Jacobi's identity."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have this task to recover the pentagonal number theorem using Jacobi's identity. I'm a bit rusty on this, but I remember that the pentagona... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Welcome to Innopolis city. Throughout the whole year, Innopolis citizens suffer from everlasting cit... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here: I need to find out how many rectangles can be formed using the points on this given grid as vertices. The grid is made up of 9 points arranged in a 3x3 fashion, and I need to consider all possible rectangles that can be forme... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nOkay, so I've got this riddle here: \"There were an electrician and a plumber waiting in line for admission to the Home Show. One of them was the father of the other's son. How could this be possible?\" And there are options labeled A through E.\n\nFirst, ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I have this probability problem here. An object starts at (0,0) and moves in the coordinate plane with steps of length one, either left, right, up, or down, each equally likely. I need to find the probability that it reaches (2,2) in six or fewer steps.... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Find the sum of all integers $k$ such that $\\binom{23}{4} + \\binom{23}{5} = \\binom{24}{k}$."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have this problem here: find the sum of all integers \\( k \\) such that \\( \\binom{23}{4} + \\binom{23}{5... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "The value of $\\left(256\\right)^{.16}\\left(256\\right)^{.09}$ is:\n$\\textbf{(A)}\\ 4 \\qquad \\\\ \\textbf{(B)}\\ 16\\qquad \\\\ \\textbf{(C)}\\ 64\\qquad \\\\ \\textbf{(D)}\\ 256.25\\qquad \\\\ \\textbf{(E)}\\ -16$"
},
{
"from": "assistant",
"value": "<|begin_of_t... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Five points $O,A,B,C,D$ are taken in order on a straight line with distances $OA = a$, $OB = b$, $OC = c$, and $OD = d$. $P$ is a point on the line between $B$ and $C$ and such that $AP: PD = BP: PC$. Then $OP$ equals:\n$\\textbf{(A)} \\frac {b^2 - bc}{a - b + c - d} \\qquad \\... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Squirrel Liss loves nuts. There are n trees (numbered 1 to n from west to east) along a street and t... |
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