system stringclasses 1
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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\nSo I've got this problem here. Let's see what it's asking.\n\nWe have a rectangle R with sides a and b, and a < b. So, it's longer in the b direction. Now, we need to find a rectangle with dimensions x and y, where both x and y are less than a, meaning bot... |
<|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.Uncle Bogdan is in captain Flint's crew for a long time and sometimes gets nostalgic for his homelan... |
<|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": "Three cubes are each formed from the pattern shown. They are then stacked on a table one on top of another so that the $13$ visible numbers have the greatest possible sum. What is that sum?\n\n$\\mathrm{(A)}\\ 154\\qquad\\mathrm{(B)}\\ 159\\qquad\\mathrm{(C)}\\ 164\\qquad\\mathrm... |
<|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": "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.Given are integers a,b,c and d.\nIf x and y are integers and a \\leq x \\leq b and c\\leq y \\leq 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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"value": "<|begin_of_thought|>\n\nI'm looking at this geometry problem, and honestly, it's a bit intimidating at first glance. There are a lot of elements here: the incenter, excircles, tangent lines, and cyclic quadrilaterals. But I'll try to break it down step by step.\n\nFirst, let's ma... |
<|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 the altitudes of a tetrahedron \\(ABCD\\) be \\(AA'\\), \\(BB'\\), \\(CC'\\), \\(DD'\\) (so that \\(A'\\) lies in the plane \\(BCD\\) and similarly for \\(B'\\), \\(C'\\), \\(D'\\)). Take points \\(A''\\), \\(B''\\), \\(C''\\), \\(D''\\) on the rays \\(AA'\\), \\(BB'\\), \\(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": "<|begin_of_thought|>\n\nAlright, so I've got this question here: \"What is half of a yo-yo?\" and the options are A: mediety, B: moiety, C: nibble, D: oyster, E: yo. Hmm, interesting. I need to figure out which one is the correct answer. Let's see.\n\nFirst off, I need to underst... |
<|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, and it's a bit tricky, but I'll try to work through it step by step. There are two parts: first, to prove an inequality for a specific value of \\(\\lambda\\), and second, to find the maximum possible \\(\\lambda\\) for which... |
<|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 question about black holes and their event horizons. So, first off, I know that a black hole is this region in space where the gravitational pull is so strong that nothing, not even light, can escape from it. The event horizon is lik... |
<|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": "Prove that for any positive integer $n$, there exists a set of $n$ real numbers such that for any three distinct elements $x, y$, and $z$ from this set, either $|x-y| > \\left(1+\\frac{1}{n^{1.6}}\\right)|x-z|$ or $|x-z| > \\left(1+\\frac{1}{n^{1.6}}\\right)|x-y|$ holds."
},
... |
<|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": "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 took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infini... |
<|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, so I've got this question about gap junctions and how they help cells communicate with each other. I'm not super familiar with gap junctions, but I know they have something to do with cells talking to each other. Let me try to break this down.\n\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": "The red parabola shown is the graph of the equation $x = ay^2 + by + c$. Find $c$. (The grid lines are spaced one unit apart.)\n\n[asy]\nsize(150);\nreal ticklen=3;\nreal tickspace=2;\n\nreal ticklength=0.1cm;\nreal axisarrowsize=0.14cm;\npen axispen=black+1.3bp;\nreal vectorar... |
<|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, let's dive into this problem. So, the question is: \"What is 123451232 divided by the number of American presidents, then add the amount of Russian service men, and you will get what?\" And there are five options to choose from.\n\nFirst off, I ne... |
<|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 \\( R' \\) be the non-negative reals. Let \\( f, g : R' \\to \\mathbb{R} \\) be continuous. Let \\( a : R' \\to \\mathbb{R} \\) be the solution of the differential equation:\n\\[ a' + f a = g, \\quad a(0) = c. \\]\nShow that if \\( b : R' \\to \\mathbb{R} \\) satisfies\n\\[ b... |
<|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": "If $|x-2|=p$, where $x<2$, then what is $x-p$ in terms of $p$?"
},
{
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"value": "<|begin_of_thought|> \n\nSo I have this problem here: If |x - 2| = p, where x < 2, then what is x - p in terms of p? Okay, let's break this down step by step.\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\nLet's tackle this problem step by step. So, the question is whether we can partition all non-negative integers into 1968 nonempty classes with a specific condition. The condition is that if you can get a number \\( m \\) from a number \\( n \\) by deleting... |
<|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 $a$ and $b$ be real numbers. One of the roots of\n\\[x^3 + ax^2 - x + b = 0\\]is $1 - 2i.$ Enter the ordered pair $(a,b).$"
},
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here. It says that one of the roots of the cubic equa... |
<|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": "For all positive integers $n$, the $n$th triangular number $T_n$ is defined as $T_n = 1+2+3+ \\cdots + n$. What is the greatest possible value of the greatest common divisor of $4T_n$ and $n-1$?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have 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 functional equation problem here. The function f maps integers to integers, and it satisfies this equation for all integers m and n:\n\nf(m + n) + f(mn - 1) = f(m) f(n) + 2\n\nAnd I need to find the number of possible values of f(2), 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": "During the softball season, Judy had $35$ hits. Among her hits were $1$ home run, $1$ triple and $5$ doubles. The rest of her hits were single. What percent of her hits were single?\n$\\text{(A)}\\ 28\\% \\qquad \\text{(B)}\\ 35\\% \\qquad \\text{(C)}\\ 70\\% \\qquad \\text{(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|> | [
{
"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 an array of positive integers a_1, a_2, ..., a_{n} × T of length n × T. We know that f... |
<|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 can be seen with the naked eye? Weighs nothing? And if you put it in a barrel, it'll make the barrel lighter?\nA: pudding\nB: egg\nC: cover\nD: white\nE: hold"
},
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"value": "<|begin_of_thought|>\n\nAlright, let's dive into this question. 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|> | [
{
"from": "user",
"value": "Find the number of positive integers $n \\le 1000$ such that $15n$ is a perfect square."
},
{
"from": "assistant",
"value": "<|begin_of_thought|> \n\nSo I have this problem: find the number of positive integers \\( n \\leq 1000 \\) such that \\( 15n \\) is a perfect 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 have this infinite series to evaluate: ∑(k=1 to ∞) (k² / 2^k). Hmm, I'm not sure where to start. I know that dealing with infinite series can be tricky, especially when it's not a geometric series. Let me think about what I know about series.\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\nAlright, I've got this problem here. Let's see what it's asking for. So, Mr. Funt has an income of n burles, and he has to pay taxes based on the maximum divisor of n that is not equal to n itself. For example, if n is 6, the maximum divisor less than n is... |
<|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: if \\(d\\) is a prime number and \\(d \\equiv 1 \\pmod{4}\\), then the equation \\(x^{2} - d y^{2} = -1\\) has a solution in natural numbers. I need to prove this. Hmm, let's see.\n\nFirst off, I know that equations of the form... |
<|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.Anthony has a pet hamster named Diablo. Diablo enjoys having lots of space to move around, so Anthon... |
<|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": "Points $A,B,C$ and $D$ lie on a line, in that order, with $AB = CD$ and $BC = 12$. Point $E$ is not on the line, and $BE = CE = 10$. The perimeter of $\\triangle AED$ is twice the perimeter of $\\triangle BEC$. Find $AB$.\n$\\text{(A)}\\ 15/2 \\qquad \\text{(B)}\\ 8 \\qquad \\tex... |
<|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 $x$, $y$ and $z$ all exceed $1$ and let $w$ be a positive number such that $\\log_x w = 24$, $\\log_y w = 40$ and $\\log_{xyz} w = 12$. Find $\\log_z w$."
},
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"value": "<|begin_of_thought|> \n\nLet's tackle this logarithm problem step by 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": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. So, we have a rectangle where the length to width ratio is 4:3, and we're given that the diagonal has a length of \\(d\\). We need to express the area of this rectangle as \\(k d^2\\), and find out what \\(k\\) is.\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, I'm trying to solve this problem about finding the pair of vectors with the minimal non-oriented angle between them. Let's start by understanding what a non-oriented angle is. It's the smallest angle between two vectors, considering both the clock... |
<|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 few years ago, Hitagi encountered a giant crab, who stole the whole of her body weight. Ever since... |
<|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 that $\\sum_{k=1}^{35}\\sin 5k=\\tan \\frac mn,$ where angles are measured in degrees, and $m$ and $n$ are relatively prime positive integers that satisfy $\\frac mn<90,$ find $m+n.$\n"
},
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"value": "<|begin_of_thought|>\n\nSo I've got 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\nOkay, so I have this question about how changes in the composition of microbial communities in animal hosts affect their susceptibility to infectious diseases. Alright, let's start by understanding what microbial communities are. These are the various bact... |
<|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've got this problem about a right triangle ABC with legs BC = 3 and AC = 4. I need to find the length of the shorter angle trisector from C to the hypotenuse. Okay, first things first, let's understand what's being asked.\n\nSo, it's a right triangle, 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've got this problem: \"How many non-similar triangles have angles whose degree measures are distinct positive integers in arithmetic progression?\" Okay, let's break this down.\n\nFirst, I need to understand what it means for the angles to be in arit... |
<|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": "Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $84$, and the afternoon class's mean score is $70$. The ratio of the number of students in the morning class to the number of students in the afternoon class is $\\frac{3}{4... |
<|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.You are given an array $a_1, a_2, \\dots, a_n$ and an integer $k$.\n\nYou are asked to divide this 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": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let's see what it's asking for. So, Mahmoud has n line segments, and each segment has a certain length given by a_i. Ehab challenges Mahmoud to pick exactly three of these segments to form a non-degenerate triangle. M... |
<|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 about a tetrahedron, and I need to prove an expression for the square of the length of the median from vertex D to the centroid S of the face ABC. The formula I'm supposed to prove is:\n\n\\[ DS^{2} = \\frac{1}{3}\\left(DA^{2} + DB^... |
<|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": "Suppose $n^{*}$ means $\\frac{1}{n}$, the [reciprocal](https://artofproblemsolving.com/wiki/index.php/Reciprocal) of $n$. For example, $5^{*}=\\frac{1}{5}$. How many of the following statements are true?\n\ni) $3^*+6^*=9^*$\nii) $6^*-4^*=2^*$\niii) $2^*\\cdot 6^*=12^*$\niv) $10... |
<|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: a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3. I need to find the area of the triangle and give the answer as a decimal rounded to the nearest hundredth.\n\nFirst off, I know that in a rig... |
<|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": "If $x$ is real and $4y^2+4xy+x+6=0$, then the complete set of values of $x$ for which $y$ is real, is:\n$\\text{(A) } x\\le-2 \\text{ or } x\\ge3 \\quad \\text{(B) } x\\le2 \\text{ or } x\\ge3 \\quad \\text{(C) } x\\le-3 \\text{ or } x\\ge2 \\quad \\\\ \\text{(D) } -3\\le x\\le... |
<|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: \"The value(s) of y for which the following pair of equations \\(x^2 + y^2 + 16 = 0\\) and \\(x^2 - 3y + 12 = 0\\) may have a real common solution, are...\" and then it gives options A through E.\n\nAlright, so 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|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I need to solve this problem. Let's read it carefully.\n\nIn Aramic language, words can only represent objects, and there are some special properties:\n\n1. A word is a root if it does not contain the same letter more than once.\n\n2. A root and 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": "All three vertices of $\\bigtriangleup ABC$ lie on the parabola defined by $y=x^2$, with $A$ at the origin and $\\overline{BC}$ parallel to the $x$-axis. The area of the triangle is $64$. What is the length of $BC$? \n$\\textbf{(A)}\\ 4\\qquad\\textbf{(B)}\\ 6\\qquad\\textbf{(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": "Given that the continuous function \\( f: \\mathbf{R} \\rightarrow (0,+\\infty) \\) satisfies \\(\\lim_{x \\rightarrow -\\infty} f(x)=\\lim_{x \\rightarrow +\\infty} f(x)=0\\), prove the following:\n1. \\( f(x) \\) has a maximum value on \\(\\mathbf{R}\\).\n2. There exist two seq... |
<|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 problem step by step. So, we have a prime number \\( p \\), and we need to find the largest possible set \\( A \\) of positive integers that satisfy two conditions:\n\n1. The set of prime divisors of the elements in \\( A \\) consists 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\nSo I need to find out how many even divisors 7! has. First, I should probably figure out what 7! is. Factorial of 7 means 7 multiplied by 6 multiplied by 5 and so on down to 1. So, 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1. Let me calculate that.\n\n7 × 6 is 42, time... |
<|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": "Show that if each of the equations \\( x^{2} - a = p y \\) and \\( x^{2} - b = p y \\) has a solution in integers, then the equation \\( x^{2} - ab = p y \\) also has a solution in integers. (Where \\( p \\) is a prime number, and \\( a \\) and \\( b \\) are integers not divisibl... |
<|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.Bob is playing a game of Spaceship Solitaire. The goal of this game is to build a spaceship. In orde... |
<|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 with two parts, (a) and (b). Let's tackle them one at a time.\n\nStarting with part (a): \"Do there exist 14 consecutive positive integers each of which is divisible by one or more primes p from the interval 2 ≤ p ≤ 11?\"\n\nFirst, 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": "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.Last week Mister George visited Croatia. Since Mister George is a very important person, while he wa... |
<|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 I've got this question here that says there are three words ending in \"gry\" in English. The first one is \"angry\" and the second one is \"hungry.\" Then it says that the third one is something everyone knows and uses every day, and that the ans... |
<|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 trying to solve this problem involving irrational numbers \\(\\alpha\\) and \\(\\beta\\). The condition given is that for any positive real number \\(x\\), the equation \\([\\alpha[\\beta x]] = [\\beta[\\alpha x]]\\) holds, where \\([x]\\) is the floor... |
<|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 trying to find the semi-minor axis of an ellipse given some information about its center, focus, and endpoint of the semi-major axis. Let me see what I know:\n\n- The center of the ellipse is at \\((-3,1)\\).\n\n- One focus is at \\((-3,0)\\).\n\n- One... |
<|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 correct phylum for a new species of worm discovered in a recently thawed Arctic tundra sample, and what key physical characteristics distinguish this phylum from other closely related phyla?"
},
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"value": "<|begin_of_thought|>\n\nAlri... |
<|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 solve this problem about patio blocks that are hexagons, each with sides of 1 unit. They're arranged to outline a garden, with n blocks on each side. The example given is for n=5, and I need to find the area of the garden enclosed by the 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|> | [
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"value": "<|begin_of_thought|> \n\nSo I have this quadratic equation: \\( x^2 - 13x + 4 = 0 \\), and I need to find the sum of the squares of its solutions. Let's see, first I need to find the solutions of the equation, and then square them, and add those squares together.\n\nI remember 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": "<|begin_of_thought|>\n\nAlright, so I've got this chemistry problem here about finding the activation energy for the reaction between hydrogen gas and oxygen gas to form water vapor. The problem gives me two rate constants at two different temperatures: 4.5 x 10^-3 M/s at 300 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": "Given \\( a_{1}, a_{2}, \\cdots, a_{n-m} \\in \\mathbf{R}_{+} \\), where \\( m \\) and \\( n \\) are positive integers (\\( \\mathbf{Z}_{+} \\)), and \\( n-m \\geqslant 3 \\). Prove that:\n$$\n\\prod_{i=1}^{n-m}\\left(a_{i}^{n}-a_{i}^{m}+n-m\\right) \\geqslant \\left(a_{1}+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 have this geometry problem here. Let me read it carefully.\n\nWe have points A = (24, 7) and B = (3, 4). The line P is the perpendicular bisector of A and B. Then, AB meets P at point C = (x, y), and I need to find the value of 2x - 4y.\n\nFirst, I 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": "Eight spheres of radius 1, one per octant, are each tangent to the coordinate planes. What is the radius of the smallest sphere, centered at the origin, that contains these eight spheres?\n$\\mathrm {(A)}\\ \\sqrt{2} \\qquad \\mathrm {(B)}\\ \\sqrt{3} \\qquad \\mathrm {(C)}\\ 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": "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.Bob is decorating his kitchen, more precisely, the floor. He has found a prime candidate for the til... |
<|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 me read it carefully and understand what's being asked.\n\nSo, I have an undirected graph with n vertices and m edges. Each vertex has a color, given by c_i. I need to find the color k that has the maximum number ... |
<|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 solve this problem about moving animals back to their proper enclosures in a zoo. Let's see what we've got here.\n\nFirst, the input consists of two integers, n and m, where n is the number of enclosures and m is the total 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|> | [
{
"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.Celery — the legendary Pokenom has been spotted in Alexa Forest.\n\nTo become the best Pokenom train... |
<|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's about counting the number of certain lists made from the first 10 positive integers. The condition is that for each integer in the list, starting from the second one, either that number plus one or that number minus one... |
<|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: find how many positive integers \\( n \\) satisfy the equation\n\n\\[\n\\frac{n + 1000}{70} = \\lfloor \\sqrt{n} \\rfloor\n\\]\n\nwhere \\( \\lfloor x \\rfloor \\) is the greatest integer not exceeding \\( x \\). 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": "What is the area of the portion of the circle defined by $x^2-12x+y^2=28$ that lies above the $x$-axis and to the right of the line $y=6-x$?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. The equation given is \\( ... |
<|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 knights in a certain kingdom come in two colors. $\\frac{2}{7}$ of them are red, and the rest are blue. Furthermore, $\\frac{1}{6}$ of the knights are magical, and the fraction of red knights who are magical is $2$ times the fraction of blue knights who are magical. What frac... |
<|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 L-shaped region bounded by points (0,0), (0,3), (3,3), (3,1), (5,1), and (5,0). I need to find the slope of the line through the origin that divides this area exactly in half. The options are fractions like 2/7, 1/3, 2/3, 3/4, and 7/9.\n\nFi... |
<|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 is the greatest power of $2$ that is a factor of $10^{1002} - 4^{501}$?\n$\\textbf{(A) } 2^{1002} \\qquad\\textbf{(B) } 2^{1003} \\qquad\\textbf{(C) } 2^{1004} \\qquad\\textbf{(D) } 2^{1005} \\qquad\\textbf{(E) }2^{1006}$"
},
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"from": "assistant",
"value": "<|be... |
<|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": "One dimension of a cube is increased by $1$, another is decreased by $1$, and the third is left unchanged. The volume of the new rectangular solid is $5$ less than that of the cube. What was the volume of the cube?\n$\\textbf{(A)}\\ 8 \\qquad \\textbf{(B)}\\ 27 \\qquad \\textbf{(... |
<|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 involved, but I'll take it step by step.\n\nFirst, we have a quadratic equation in terms of \\( t \\):\n\n\\[ t^2 - (5a - 2)t - 3a^2 - 7a + 1 = 0 \\]\n\nThis equation has two distinct real roots, \\( t_1 \\) 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": "<|begin_of_thought|>\n\nI'm going to try to tackle this geometry problem. It's about a cyclic quadrilateral, which means all four vertices lie on a single circle. The quadrilateral is ABCD, and its diagonals AC and BD intersect at point M. There are angle bisectors involved, 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": "<|begin_of_thought|>\n\nSo I'm trying to solve this graph theory problem. It's a bit tricky, but I'll take it step by step.\n\n**Part (1):**\n\nWe have a graph \\( G \\) with eight vertices. The condition is that every subgraph of five vertices contains a complete subgraph of thr... |
<|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 arrange the digits 1, 2, 3, 4, and 5 into a five-digit number PQRST, using each digit exactly once. There are a few conditions I have to satisfy:\n\n1. The three-digit number PQR must be divisible by 4.\n\n2. The 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, we're given that \\(\\frac{a}{25 - a} + \\frac{b}{65 - b} + \\frac{c}{60 - c} = 7\\), and we need to find the value of \\(\\frac{5}{25 - a} + \\frac{13}{65 - b} + \\frac{12}{60 - c}\\).\n\nFirst, I notice that 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": "Show that the number \\((p_{1} \\cdot p_{2} \\ldots p_{n} + 1)^{2^{k}} - 1\\), where \\( p_{1}, p_{2}, \\ldots, p_{n} \\) are the first \\( n \\) odd prime numbers, has at least \\( n + k \\) different prime divisors."
},
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"value": "<|begin_of_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": "Suppose 5 different integers are randomly chosen from between 20 and 69, inclusive. What is the probability that they each have a different tens digit?"
},
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"from": "assistant",
"value": "<|begin_of_thought|> \n\nSo I've got this probability problem here. It says 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": "What specific factors and signals are involved in the G1 checkpoint of the cell cycle, and how do they regulate the progression into the S phase?"
},
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"value": "<|begin_of_thought|>\n\nAlright, so I've got this question about the G1 checkpoint in... |
<|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 a film festival where Valentine wants to skip movies of one genre to minimize the number of times his mood changes, which happens when he watches movies of different genres in sequence. So, I need to figure out which ge... |
<|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\nI've got this geometry problem here. There are five distinct points in space: P, A, B, C, and D. The angles between certain pairs of points are all equal to this acute angle θ. Specifically, angle APB equals angle BPC equals angle CPD equals angle DPA, all... |
<|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. It's a bit involved, but I'll try to break it down.\n\n**Part (a):**\n\nWe need to show that:\n\n\\[\n\\left(\\frac{X^{2}-Y^{2}}{\\sqrt{X^{2}+Y^{2}}}, \\frac{2XY}{\\sqrt{X^{2}+Y^{2}}}\\right) \\stackrel{d}{=}(X, Y)\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": "Find the largest value of $c$ such that $-2$ is in the range of $f(x)=x^2+3x+c$."
},
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"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have this problem: I need to find the largest value of \\( c \\) such that \\(-2\\) is in the range of \\( f(x) = x^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\nAlright, I've got this problem to solve. Let's see what it's asking for. So, there's a construction worker who's trying to build a wall with given height \\( h \\), width \\( w \\), and a pile of \\( n \\) bricks, each with their own lengths. The worker la... |
<|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 equation to solve: \\(\\left| \\frac{12}{x} + 3 \\right| = 2\\). I need to find all possible values of \\(x\\) and then find their product, and express the answer as an improper fraction.\n\nFirst, I remember that when dealing with absolut... |
<|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 alternating current circuits, and it involves complex numbers. The equation given is V = IZ, where V is voltage, I is current, and Z is impedance. The values provided are V = 1 - i and Z = 1 + 3i, and I need to find I, 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": "<|begin_of_thought|>\nSo I need to find out how many positive three-digit integers less than 500 have at least two digits that are the same. Let's think about this step by step.\n\nFirst, I should understand the total number of three-digit integers less than 500. Three-digit inte... |
<|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 geometry problem here. There are two circles, one with center at (2,2) and the other at (17,10), and both are tangent to the x-axis. I need to find the distance between the closest points of the two circles.\n\nFirst, I should recall that ... |
<|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 about dividing space into identical tetrahedra and into identical isohedral tetrahedra. I need to figure out how to do both of these things. Let's start by understanding what's being asked.\n\nFirst, a tetrahedron is a three-dimensio... |
<|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": "The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x? \n\n$\\mathrm{(A) \\ A } \\qquad \\mathrm{(B) \\ B } \\qquad \\mathrm{(C) \\ C } \\qquad \\mathrm{(D) \\ D } \\qquad \\mathrm{(E) \\ E }$"
... |
<|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 try to simplify this expression: \\(\\frac{1 + \\sin x - \\cos x}{1 + \\sin x + \\cos x}\\). I need to see if I can reduce it to a single trigonometric function of some function of \\(x\\).\n\nFirst, I recall some trigonometric identities that might... |
<|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": "After school, Maya and Naomi headed to the beach, $6$ miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?\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|> | [
{
"from": "user",
"value": "In a country, there are 6 cities connected pairwise by roads, never more than one road between any two cities. These roads do not intersect, some passing over others by bridges if necessary. Each road is one-way. Distracted officials from the Ministry of Traffic Direction have or... |
<|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 have this problem here: For any natural number \\( n \\) and any formal series \\( f(x) = 1 + a_1 x + a_2 x^2 + \\ldots \\), I need to prove that there exists a unique formal series \\( g(x) = 1 + b_1 x + b_2 x^2 + \\ldots \\) such that \\( g(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|> | [
{
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"value": "On the side BC of the square ABCD, a point M is chosen. Let \\(X, Y, Z\\) be the centers of the circles inscribed in the triangles ABM, CMD, and AMD respectively; \\(H_x, H_y, H_z\\) be the orthocenters of the triangles AXB, CYD, AZD respectively. Prove that the points \\(H_x, 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|> | [
{
"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.Polycarp has a cat and his cat is a real gourmet! Dependent on a day of the week he eats certain typ... |
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