conversations listlengths 2 2 | question stringlengths 16 24.8k ⌀ | source stringclasses 10
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"value": "Q: What would you do – you’re driving past hundreds of citrus trees. With a better look, they’re mandarins, or, more precisely clementines. On the roadside is a truck selling crates of them for 1 euro a kilo. You stop, right? And buy a crate of 10 kilos. Even though you have to g... | null | null | null |
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"value": "Find the determinant of the matrix:\n\nA = \n\\begin{bmatrix}\n2 & 4 & 5 \\\\\n-1 & 3 & 6 \\\\\n0 & 7 & -2\n\\end{bmatrix}"
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"value": "To find the determinant of matrix A, we'll use the expansion by minors method. Given that the matrix is a 3x... | null | null | null |
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"value": "12. Calculate: $\\sqrt{\\frac{998 \\times 999 \\times 1000 \\times 1001+1}{4}}+\\frac{1}{2}=$"
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"value": "<think>\nOkay, so I have this problem to solve: the square root of (998 times 999 times 1000 times 1001 plus 1) divided by 4, and then ad... | 12. Calculate: $\sqrt{\frac{998 \times 999 \times 1000 \times 1001+1}{4}}+\frac{1}{2}=$ | null | null |
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"value": "In a certain cross country meet between 2 teams of 5 runners each, a runner who finishes in the $n$th position contributes $n$ to his teams score. The team with the lower score wins. If there are no ties among the runners, how many different winning scores are possible?\n(A) 10 (... | null | null | null |
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"value": "Les informations ci-dessous sont reproduites telles qu'elles ont été reçues et n'impliquent l'expression d'aucune opinion ou approbation de la part du Secrétariat de l'Organisation des Nations Unies.\n\nWhich language is this?"
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"value": "Une ... | null | null | null |
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"value": "Come up with an appropriate title for the following document.\nWASHINGTON (CNN) -- A wide-open presidential race and a willingness by candidates, interest groups, unions and corporations to buy TV time will lead to historic spending for political and issue-advocacy advertising in... | null | null | null |
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"value": "Three. (25 points) Let $p$ be a prime number, and $k$ be a positive integer. When the equation $x^{2}+p x+k p-1=0$ has at least one integer solution, find all possible values of $k$.\n\nLet $p$ be a prime number, and $k$ be a positive integer. When the equation $x^{2}+p x+k p-1=0... | Three. (25 points) Let $p$ be a prime number, and $k$ be a positive integer. When the equation $x^{2}+p x+k p-1=0$ has at least one integer solution, find all possible values of $k$.
Let $p$ be a prime number, and $k$ be a positive integer. When the equation $x^{2}+p x+k p-1=0$ has at least one integer solution, find ... | null | null |
[
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"value": "The line $2x+m(x-y)-1=0$ always passes through a fixed point \\_\\_\\_\\_\\_\\_."
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"value": "<think>\nOkay, let's see. The problem is: \"The line 2x + m(x - y) - 1 = 0 always passes through a fixed point ______.\" Hmm, I need to find the fixed... | The line $2x+m(x-y)-1=0$ always passes through a fixed point \_\_\_\_\_\_. | null | null |
[
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"value": "Return your final response within \\boxed{}. In convex pentagon $ ABCDE$ , denote by \r $ AD\\cap BE = F,BE\\cap CA = G,CA\\cap DB = H,DB\\cap EC = I,EC\\cap AD = J; AI\\cap BE = A',BJ%Error. \"capCA\" is a bad command.\n= B',CF%Error. \"capDB\" is a bad command.\n= C',DG\\cap E... | In convex pentagon $ ABCDE$ , denote by
$ AD\cap BE = F,BE\cap CA = G,CA\cap DB = H,DB\cap EC = I,EC\cap AD = J; AI\cap BE = A',BJ%Error. "capCA" is a bad command.
= B',CF%Error. "capDB" is a bad command.
= C',DG\cap EC = D',EH\cap AD = E'.$
Prove that $ \frac {AB'}{B'C}\cdot\frac {CD'}{D'E}\cdot\frac {EA'}{A'B}... | null | null |
[
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"value": "Und doch gelang es Stockhausen hier, die Gegenspieler miteinander zu verschmelzen.\n\nTranslate this to English?"
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"value": "Here is the translation:\n\n\"And yet, Stockhausen succeeded here in merging the opposing elements with each other.\"\... | null | null | null |
[
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"value": "Given $m$ and $n$ are two different lines, and $\\alpha$ and $\\beta$ are two different planes, then among the following statements, the correct one is ( )\nA: If $m \\parallel \\alpha$, $n \\perp \\beta$ and $\\alpha \\perp \\beta$, then $m \\perp n$\nB: If $m \\perp \\alpha... | Given $m$ and $n$ are two different lines, and $\alpha$ and $\beta$ are two different planes, then among the following statements, the correct one is ( )
A: If $m \parallel \alpha$, $n \perp \beta$ and $\alpha \perp \beta$, then $m \perp n$
B: If $m \perp \alpha$, $n \perp \beta$ and $m \perp n$, then $\alpha \perp... | null | null |
[
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"value": "Categorize all the words from the sentence into either nouns, verbs, adjectives or adverbs.\nThe peaceful river gently rippled in the summer breeze."
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"value": "Here is the categorization of the words from the sentence:\n\n* **Nouns:**\n\t1. R... | null | null | null |
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"value": "A function is said to have a \"floating point\" $x\\_0$ if, within its domain, there exists a real number $x\\_0$ such that $f(x\\_0+1)=f(x\\_0)+f(1)$.\n(1) Does the function $f(x)=\\frac{1}{x}$ have a \"floating point\"? Please explain your reasoning.\n(2) Prove that the functio... | A function is said to have a "floating point" $x\_0$ if, within its domain, there exists a real number $x\_0$ such that $f(x\_0+1)=f(x\_0)+f(1)$.
(1) Does the function $f(x)=\frac{1}{x}$ have a "floating point"? Please explain your reasoning.
(2) Prove that the function $f(x)=x^2+2^x$ has a "floating point" in the inte... | null | null |
[
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"value": "24. [12] Find the number of subsets $S$ of $\\{1,2, \\ldots 6\\}$ satisfying the following conditions:\n- $S$ is non-empty.\n- No subset of $S$ has the property that the sum of its elements is 10 ."
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"value": "<think>\nOkay, let me try to figu... | 24. [12] Find the number of subsets $S$ of $\{1,2, \ldots 6\}$ satisfying the following conditions:
- $S$ is non-empty.
- No subset of $S$ has the property that the sum of its elements is 10 . | null | null |
[
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"value": "It is known that the sum of the first $n$ terms of an arithmetic sequence $\\{a_n\\}$ is $S_n$, $a_9 = \\frac{1}{2}a_{12} + 6$, and $a_2 = 4$. Find the sum of the first $10$ terms of the sequence $\\left\\{\\frac{1}{S_n}\\right\\}$."
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"value":... | It is known that the sum of the first $n$ terms of an arithmetic sequence $\{a_n\}$ is $S_n$, $a_9 = \frac{1}{2}a_{12} + 6$, and $a_2 = 4$. Find the sum of the first $10$ terms of the sequence $\left\{\frac{1}{S_n}\right\}$. | null | null |
[
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"value": "Write a multi-choice question for the following article, with the given choices and answer: Article: Peter King, 15, and Mary King, 13, went to see a doctor. Peter had a bad cold, so the doctor gave him some pills to take. Mary had a bad cough, so the doctor gave her some cough m... | null | null | null |
[
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"value": "Given real numbers $x$, $y$, $z$ satisfying $x+2y+z=1$, the minimum value of $x^{2}+4y^{2}+z^{2}$ is \\_\\_\\_\\_\\_."
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"value": "<think>\nOkay, so I need to find the minimum value of the expression \\( x^2 + 4y^2 + z^2 \\) given that \\( x + ... | Given real numbers $x$, $y$, $z$ satisfying $x+2y+z=1$, the minimum value of $x^{2}+4y^{2}+z^{2}$ is \_\_\_\_\_. | null | null |
[
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"value": "Answer this question:A 4th grade class with 20 students and 3 teachers is going to a science museum. The entrance ticket costs $5 each. How much will they pay for the entrance tickets?\n20 + 3 = 23 people from the 4th grade class are going to the science museum. Therefore, they w... | null | null | null |
[
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"value": "I am trying to write a SQL query that can search for users in a table based on their name. Can someone help me with the code?"
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"value": "<think>\nOkay, the user is asking for help writing a SQL query to search for users based on their name. I... | null | null | null |
[
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"value": "Given an arithmetic sequence $\\{a_n\\}$, where $a_1+a_4+a_7= \\frac {5}{4}\\pi$, then $\\cos (a_3+a_5)=$ ()\nA: $ \\frac { \\sqrt {3}}{2}$\nB: $- \\frac { \\sqrt {3}}{2}$\nC: $ \\frac { \\sqrt {2}}{2}$\nD: $- \\frac { \\sqrt {2}}{2}$"
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"valu... | Given an arithmetic sequence $\{a_n\}$, where $a_1+a_4+a_7= \frac {5}{4}\pi$, then $\cos (a_3+a_5)=$ ()
A: $ \frac { \sqrt {3}}{2}$
B: $- \frac { \sqrt {3}}{2}$
C: $ \frac { \sqrt {2}}{2}$
D: $- \frac { \sqrt {2}}{2}$ | null | null |
[
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"value": "Return your final response within \\boxed{}. Take a $2n$-digit number, and consider the first $n$ digits and the last $n$ digits as two separate $n$-digit numbers. If the square of the sum of these two $n$-digit numbers equals the original $2n$-digit number, then this $2n$-digit ... | Take a $2n$-digit number, and consider the first $n$ digits and the last $n$ digits as two separate $n$-digit numbers. If the square of the sum of these two $n$-digit numbers equals the original $2n$-digit number, then this $2n$-digit number is called a Kabulek number. For example, $(30+25)^{2}=3025$, so 3025 is a Kabu... | null | null |
[
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"value": "How might one describe the sentiment of this review?\nI think this could be the lowest score I've given any hostel in Edinburgh. I booked in here for 3 nights and a further 3 nights the following week but ended up only staying 2 nights and cancelling the additional 3 nights I had... | null | null | null |
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"value": "4. The real number $b$ satisfies $|b|<3$, and there exists a real number $a$, such that $a<b$ always holds. Then the range of values for $a$ is ( ).\n(A) $(-\\infty, 3]$\n(B) $(-\\infty, 3)$\n(C) $(-\\infty,-3]$\n(D) $(-\\infty,-3)$"
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"value":... | 4. The real number $b$ satisfies $|b|<3$, and there exists a real number $a$, such that $a<b$ always holds. Then the range of values for $a$ is ( ).
(A) $(-\infty, 3]$
(B) $(-\infty, 3)$
(C) $(-\infty,-3]$
(D) $(-\infty,-3)$ | null | null |
[
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"value": "Fill in the blanks:\n3.4km$^2$=\\_\\_\\_\\_\\_\\_ hectares\n690000m$^2$=\\_\\_\\_\\_\\_\\_ km$^2$"
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"value": "<think>\nOkay, so I need to convert 3.4 square kilometers to hectares and 690,000 square meters to square kilometers. Hmm, let me sta... | Fill in the blanks:
3.4km$^2$=\_\_\_\_\_\_ hectares
690000m$^2$=\_\_\_\_\_\_ km$^2$ | null | null |
[
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"value": "Was passiert mit dem Boden, wenn es regnet?"
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"value": "Wenn es regnet, durchläuft der Boden eine Reihe von Veränderungen und Prozessen. Hier sind einige der Hauptereignisse, die mit dem Boden passieren, wenn es regnet:\n\n1. **Oberflächenabfl... | null | null | null |
[
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"value": "\\section*{Problem 4 - 261014}\n\nJürgen claims that there is a positional system with base \\(m\\) in which the following calculation is correct:\n\n\\begin{tabular}{lllllll} \n& 7 & 0 & 1 &. & 3 & 4 \\\\\n\\hline 2 & 5 & 0 & 3 & & & \\\\\n& 3 & 4 & 0 & 4 & & \\\\\n\\hline 3 & 0... | \section*{Problem 4 - 261014}
Jürgen claims that there is a positional system with base \(m\) in which the following calculation is correct:
\begin{tabular}{lllllll}
& 7 & 0 & 1 &. & 3 & 4 \\
\hline 2 & 5 & 0 & 3 & & & \\
& 3 & 4 & 0 & 4 & & \\
\hline 3 & 0 & 4 & 3 & 4 & &
\end{tabular}
Determine all natural number... | null | null |
[
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"value": "How does the molecular structure of a polymer affect its mechanical properties for use in biomedical applications, and how can we optimize these properties for specific medical devices or applications such as implants or drug delivery systems?"
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... | null | null | null |
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"value": "If the total distance of all three throws made by Javier, an Olympic javelin thrower, was 1050 meters, and his first throw was twice as far as his second throw but only half as far as his third throw, what was the distance, in meters, of his first throw?"
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"value": "If $a$ and $b$ are both prime numbers, and $a^2 + b = 2003$, then the value of $a + b$ is ( )\nA: 1999\nB: 2000\nC: 2001\nD: 2002"
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"value": "<think>\nOkay, let's see. The problem says that both a and b are prime numbers, and they satisfy the... | If $a$ and $b$ are both prime numbers, and $a^2 + b = 2003$, then the value of $a + b$ is ( )
A: 1999
B: 2000
C: 2001
D: 2002 | null | null |
[
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"value": "Information: - The Constitution for the Kingdom of the Netherlands is one of two fundamental documents governing the Kingdom of the Netherlands as well as the fundamental law of the European territory of the Kingdom of the Netherlands. The present constitution is generally seen ... | null | null | null |
[
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"value": "1. From the condition at $12:00$, it follows that the tracks intersect at an angle of $60^{\\circ}$. Since they crossed the intersection after this, they are moving towards it. Since the cyclist spent twice as much time on this road, his speed is half the speed of the motorcyclis... | 1. From the condition at $12:00$, it follows that the tracks intersect at an angle of $60^{\circ}$. Since they crossed the intersection after this, they are moving towards it. Since the cyclist spent twice as much time on this road, his speed is half the speed of the motorcyclist, i.e., 36 km/h.
If we start the time c... | null | null |
[
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"value": "q: Choose the sentence that goes against common sense.\nOptions:\n- Sentence A: \"He put his mustache into the computer form.\"\n- Sentence B: \"He put his password into the computer form.\"\n\na: Thoughts: A mustache cannot be entered into a computer form. The answer is [Sentenc... | null | null | null |
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"value": "【Question 2】\n$86 \\times 87 \\times 88 \\times 89 \\times 90 \\times 91 \\times 92 \\div 7$ The remainder is $\\qquad$."
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"value": "<think>\nOkay, so I need to find the remainder when the product of the numbers from 86 to 92 is divided by 7. ... | 【Question 2】
$86 \times 87 \times 88 \times 89 \times 90 \times 91 \times 92 \div 7$ The remainder is $\qquad$. | null | null |
[
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"value": "translate this code to Kotlin:\n```javascript\nfunction countPatternsInWord(patterns, word) {\n let count = 0;\n for (const pattern of patterns) {\n if (word.includes(pattern)) {\n count++;\n }\n }\n return count;\n}\n```\n"
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[
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"value": "You will be given two pieces of text. The first piece of text is a statement, and the second piece of text is an explanation for that statement. Your job is to determine whether or not the explanation makes sense based on the statement. If it does, output 'True'. If it does not m... | null | null | null |
[
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"value": "The number of distinct points common to the graphs of $x^2+y^2=9$ and $y^2=9$ is:\n$\\textbf{(A) }\\text{infinitely many}\\qquad \\textbf{(B) }\\text{four}\\qquad \\textbf{(C) }\\text{two}\\qquad \\textbf{(D) }\\text{one}\\qquad \\textbf{(E) }\\text{none}$"
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"from": "... | The number of distinct points common to the graphs of $x^2+y^2=9$ and $y^2=9$ is:
$\textbf{(A) }\text{infinitely many}\qquad \textbf{(B) }\text{four}\qquad \textbf{(C) }\text{two}\qquad \textbf{(D) }\text{one}\qquad \textbf{(E) }\text{none}$ | null | null |
[
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"value": "What is the code for generating a CSS class that sets the font-size of a paragraph element to 12pt and font-weight to 500?"
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"value": "Here is the CSS code that generates a class to set the font-size of a paragraph element to 12pt and font-wei... | null | null | null |
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"value": "I'm working on developing a Multiboot compliant ELF executable for my 32-bit kernel. However, I'm encountering some linker errors during the build process. The specific error message I'm receiving is \"relocation truncated to fit: R_386_16 against `.text'\". Here is the relevant ... | null | null | null |
[
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"value": "Given the function $f(x) = \\log_{3}(x^{2} + ax + a + 5)$, if $f(x)$ is a decreasing function in the interval $(-\\infty, 1)$, then the range of the real number $a$ is:\n_______ ."
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"value": "<think>\nOkay, so I need to find the range of real ... | Given the function $f(x) = \log_{3}(x^{2} + ax + a + 5)$, if $f(x)$ is a decreasing function in the interval $(-\infty, 1)$, then the range of the real number $a$ is:
_______ . | null | null |
[
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"value": "How can I print the most frequent element of an array in Java?"
},
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"value": "Printing the Most Frequent Element in a Java Array\n======================================================\n\nHere's a step-by-step solution to find and print the most ... | null | null | null |
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"value": "Example 3 Let the set $A=\\{1,2, \\cdots, 10\\},$ and the mapping $f$ from $A$ to $A$ satisfies the following two conditions:\n(1) For any $x \\in A, f_{30}(x)=x$;\n(2) For each $k \\in \\mathbb{Z}^{+}, 1 \\leqslant k \\leqslant 29$, there exists at least one $a \\in A$ such that... | Example 3 Let the set $A=\{1,2, \cdots, 10\},$ and the mapping $f$ from $A$ to $A$ satisfies the following two conditions:
(1) For any $x \in A, f_{30}(x)=x$;
(2) For each $k \in \mathbb{Z}^{+}, 1 \leqslant k \leqslant 29$, there exists at least one $a \in A$ such that $f_{k}(a) \neq a$.
Find the total number of such m... | null | null |
[
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"value": "Winston has 14 quarters. He then spends half a dollar on candy. How many cents does he have left? Please respond by writing a program in Python."
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"value": "<think>\nOkay, I need to solve this problem where Winston has 14 quarters and spends h... | null | null | null |
[
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"value": "Given the ellipse $$\\frac {x^{2}}{a^{2}} + \\frac {y^{2}}{b^{2}} = 1$$ ($a > b > 0$) with its right focus at F(3, 0), and the point (0, -3) is on the ellipse, then the equation of the ellipse is ( )\n\nA: $$\\frac {x^{2}}{45} + \\frac {y^{2}}{b^{2}} = 1$$\n\nB: $$\\frac {x^{2... | Given the ellipse $$\frac {x^{2}}{a^{2}} + \frac {y^{2}}{b^{2}} = 1$$ ($a > b > 0$) with its right focus at F(3, 0), and the point (0, -3) is on the ellipse, then the equation of the ellipse is ( )
A: $$\frac {x^{2}}{45} + \frac {y^{2}}{b^{2}} = 1$$
B: $$\frac {x^{2}}{36} + \frac {y^{2}}{27} = 1$$
C: $$\frac {x^... | null | null |
[
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"value": "Return your final response within \\boxed{}. How many positive integers \\( n \\) are there such that \\( 7n + 1 \\) is a perfect square and \\( 3n + 1 < 2008 \\)? \n\n(A) 6\n\n(B) 9\n\n(C) 12\n\n(D) 15\n\n(E) 18"
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"value": "<think>\nOkay, let... | How many positive integers \( n \) are there such that \( 7n + 1 \) is a perfect square and \( 3n + 1 < 2008 \)?
(A) 6
(B) 9
(C) 12
(D) 15
(E) 18 | null | null |
[
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"value": "Let \\\\(\\theta\\\\) be an angle in the fourth quadrant, then the point \\\\(P(\\sin(\\sin \\theta), \\cos(\\sin \\theta))\\\\) is located in \\\\((\\quad)\\).\nA: The first quadrant\nB: The second quadrant\nC: The third quadrant\nD: The fourth quadrant"
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"from": "as... | Let \\(\theta\\) be an angle in the fourth quadrant, then the point \\(P(\sin(\sin \theta), \cos(\sin \theta))\\) is located in \\((\quad)\).
A: The first quadrant
B: The second quadrant
C: The third quadrant
D: The fourth quadrant | null | null |
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"value": "Answer the following question, but give the rationale first. Did Donatello use a smartphone?"
},
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"value": "**Rationale:**\n\nTo answer this question accurately, we need to consider two key factors:\n\n1. **Historical Context**: Donatello was an ... | null | null | null |
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"value": "Question 1: If I'm shortsighted, is it a good idea to wear glasses even when looking at close objects or reading?\nQuestion 2: Can someone have glasses and be good-looking?\n\nWould the answer to these two questions be the same?"
},
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"value": "Ni... | null | null | null |
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"value": "Could you compose a musical piece that delves into the complex interplay between the psychological and societal challenges that beset young professionals when they migrate to northern urban areas in a quest for a better life? The piece should vividly and succinctly detail the var... | null | null | null |
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"value": "Return your final response within \\boxed{}. Find all polynomials $p(x)$ with real coefficients that have the following property: there exists a polynomial $q(x)$ with real coefficients such that $$ p(1) + p(2) + p(3) +\\dots + p(n) = p(n)q(n) $$ for all positive integers... | Find all polynomials $p(x)$ with real coefficients that have the following property: there exists a polynomial $q(x)$ with real coefficients such that $$ p(1) + p(2) + p(3) +\dots + p(n) = p(n)q(n) $$ for all positive integers $n$ . | null | null |
[
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"value": "Generate a story involving the main character being chased by a villain.\nA young woman named Sarah."
},
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"value": "**The Desperate Pursuit**\n\nSarah's breath came in short gasps as she sprinted down the dimly lit alley, her eyes fixed on the fa... | null | null | null |
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"value": "You are tasked with implementing a simple game world management system. The game world is represented as a grid, and characters can move within this world. Your goal is to create a class that manages the game world and the characters within it.\n\nYou are given a code snippet tha... | null | magicoder | null |
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"value": "Example 6 If $x=\\sqrt{19-8 \\sqrt{3}}$. Then the fraction $\\frac{x^{4}-6 x^{3}-2 x^{2}+18 x+23}{x^{2}-8 x+15}=$\n\nPreserve the original text's line breaks and format, output the translation result directly."
},
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"value": "<think>\nOkay, let's ... | Example 6 If $x=\sqrt{19-8 \sqrt{3}}$. Then the fraction $\frac{x^{4}-6 x^{3}-2 x^{2}+18 x+23}{x^{2}-8 x+15}=$
Preserve the original text's line breaks and format, output the translation result directly. | null | null |
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"value": "## Problem Statement\n\nBased on the definition of the derivative, find $f^{\\prime}(0)$:\n\n$f(x)=\\left\\{\\begin{array}{c}\\tan\\left(2^{x^{2} \\cos (1 /(8 x))}-1+x\\right), x \\neq 0 ; \\\\ 0, x=0\\end{array}\\right.$"
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"value": "<think>\n... | ## Problem Statement
Based on the definition of the derivative, find $f^{\prime}(0)$:
$f(x)=\left\{\begin{array}{c}\tan\left(2^{x^{2} \cos (1 /(8 x))}-1+x\right), x \neq 0 ; \\ 0, x=0\end{array}\right.$ | null | null |
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{
"from": "user",
"value": "We have four containers. The first three contain water, the fourth is empty. In the second one, there is twice as much water as in the first, and in the third one, there is twice as much water as in the second. We pour half of the water from the first container, a third of the wa... | We have four containers. The first three contain water, the fourth is empty. In the second one, there is twice as much water as in the first, and in the third one, there is twice as much water as in the second. We pour half of the water from the first container, a third of the water from the second container, and a qua... | null | null |
[
{
"from": "user",
"value": "In triangle $ABC$, if $a=20$, $b=28$, $A=40^{\\circ}$, then this triangle has\nA: no solution\nB: two solutions\nC: one solution\nD: an indefinite number of solutions"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this triangle problem here. Let me read... | In triangle $ABC$, if $a=20$, $b=28$, $A=40^{\circ}$, then this triangle has
A: no solution
B: two solutions
C: one solution
D: an indefinite number of solutions | null | null |
[
{
"from": "user",
"value": "## Task 17/86\n\nA circle with radius $r$ is circumscribed by an isosceles trapezoid, where the lengths of the parallel sides are in the ratio $1: 4$. Determine the area of the trapezoid in terms of $r$!"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to... | ## Task 17/86
A circle with radius $r$ is circumscribed by an isosceles trapezoid, where the lengths of the parallel sides are in the ratio $1: 4$. Determine the area of the trapezoid in terms of $r$! | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. If $4x\\equiv 8\\pmod{20}$ and $3x\\equiv 16\\pmod{20}$, then what is the remainder when $x^2$ is divided by $20$?"
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see. I have these two congruences: 4x ≡ 8 mod 20 a... | If $4x\equiv 8\pmod{20}$ and $3x\equiv 16\pmod{20}$, then what is the remainder when $x^2$ is divided by $20$? | null | null |
[
{
"from": "user",
"value": "Pretend to be the loyal guardian of a hidden kingdom in a magical anime series. As one of the last surviving members of an ancient race, you possess immense power and wisdom, and your duty is to protect the kingdom at all costs. Your stoic and composed demeanor belies your intens... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Show that the improper integral $\\int_{0}^{+\\infty} \\frac{d x}{1+x^{2}}$ converges."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to show that the improper integral from 0 to infinity of 1 over (1 + x squ... | Show that the improper integral $\int_{0}^{+\infty} \frac{d x}{1+x^{2}}$ converges. | null | null |
[
{
"from": "user",
"value": "Suggest a way to improve a public transportation system."
},
{
"from": "assistant",
"value": "Here's a comprehensive suggestion to improve a public transportation system:\n\n**Improvement Suggestion:** **Integrated, Data-Driven, and User-Centric Public Transportation ... | null | null | null |
[
{
"from": "user",
"value": "Example 16. Solve the inequality\n\n$$\n-|y|+x-\\sqrt{x^{2}+y^{2}-1} \\geqslant 1\n$$"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to solve this inequality: -|y| + x - sqrt(x² + y² - 1) ≥ 1. Hmm, that looks a bit complicated, but let's try to break it... | Example 16. Solve the inequality
$$
-|y|+x-\sqrt{x^{2}+y^{2}-1} \geqslant 1
$$ | null | null |
[
{
"from": "user",
"value": "Given that the direction vector of line $l$ is $\\left(2,m,1\\right)$, and the normal vector of plane $\\alpha$ is $(1,\\frac{1}{2},2)$, and $l$ is parallel to $\\alpha$, find the value of $m$."
},
{
"from": "assistant",
"value": "<think>\nAlright, let me try to solve... | Given that the direction vector of line $l$ is $\left(2,m,1\right)$, and the normal vector of plane $\alpha$ is $(1,\frac{1}{2},2)$, and $l$ is parallel to $\alpha$, find the value of $m$. | null | null |
[
{
"from": "user",
"value": "6. The graph of $r=2+\\cos 2 \\theta$ and its reflection over the line $y=x$ bound five regions in the plane. Find the area of the region containing the origin."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the area of the region containing the... | 6. The graph of $r=2+\cos 2 \theta$ and its reflection over the line $y=x$ bound five regions in the plane. Find the area of the region containing the origin. | null | null |
[
{
"from": "user",
"value": "You are tasked with implementing a game management system in Unity using C#. The system should ensure that certain game objects are only instantiated once and persist across scene changes. You need to create a class that manages the instantiation and persistence of these game obj... | null | magicoder | null |
[
{
"from": "user",
"value": "11. (5 points) Use small cubes with edge length $m$ to form a large cube with edge length 12. Now paint the surface (6 faces) of the large cube red. If the number of small cubes with only one red face is equal to the number of small cubes with only two red faces, then $m=$ $\\qqu... | 11. (5 points) Use small cubes with edge length $m$ to form a large cube with edge length 12. Now paint the surface (6 faces) of the large cube red. If the number of small cubes with only one red face is equal to the number of small cubes with only two red faces, then $m=$ $\qquad$ . | null | null |
[
{
"from": "user",
"value": "Given a text string, write a function in Python to identify all the words that have more than 5 characters and are not repeated within the same sentence. Additionally, the function should also return the frequency of each unique word in the text. The function should be case-insen... | null | null | null |
[
{
"from": "user",
"value": "Given the sides \\\\(a\\\\), \\\\(b\\\\), and \\\\(c\\\\) opposite the angles \\\\(A\\\\), \\\\(B\\\\), and \\\\(C\\\\) of \\\\(\\triangle ABC\\\\), respectively, and that \\\\(b^{2}=3ac\\\\):\n\\\\((I)\\\\) If \\\\(a=b\\\\), find \\\\(\\cos B\\\\);\n\\\\((II)\\\\) Let \\\\(B=120... | Given the sides \\(a\\), \\(b\\), and \\(c\\) opposite the angles \\(A\\), \\(B\\), and \\(C\\) of \\(\triangle ABC\\), respectively, and that \\(b^{2}=3ac\\):
\\((I)\\) If \\(a=b\\), find \\(\cos B\\);
\\((II)\\) Let \\(B=120^{\circ}\\) and \\(a= \sqrt{2}\\), find the area of \\(\triangle ABC\\). | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. For a positive integer \\( n \\), if there exist positive integers \\( a \\) and \\( b \\) such that \\( n = a + b + a \\times b \\), then \\( n \\) is called a \"good number\". For example, \\( 3 = 1 + 1 + 1 \\times 1 \\), so 3 is a \... | For a positive integer \( n \), if there exist positive integers \( a \) and \( b \) such that \( n = a + b + a \times b \), then \( n \) is called a "good number". For example, \( 3 = 1 + 1 + 1 \times 1 \), so 3 is a "good number". Among the 100 positive integers from 1 to 100, there are \(\qquad\) "good numbers". | null | null |
[
{
"from": "user",
"value": "Convert a sentence into a list of words using the provided function, but exclude any words that start with a vowel and contain more than three letters. Additionally, sort the resulting list in alphabetical order. The time complexity of your solution should be O(nlogn), where n is... | null | null | null |
[
{
"from": "user",
"value": "A delivery company needs to deliver products to 5 different cities such that the total distance traveled by the delivery truck is minimized. The distance between each pair of cities is given below:\n\nCity A to City B: 120 km\nCity A to City C: 90 km\nCity A to City D: 200 km\nCi... | null | null | null |
[
{
"from": "user",
"value": "Question: \"What is the longest time span of bird pairings?\" Context: \"Ninety-five percent of bird species are socially monogamous. These species pair for at least the length of the breeding season or—in some cases—for several years or until the death of one mate. Monogamy all... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Two players are playing the following game. There is a pile of stones. The first player on each of his turns takes 1 or 10 stones. The second player on each of his turns takes $m$ or $n$ stones. They take turns, starting with the first... | Two players are playing the following game. There is a pile of stones. The first player on each of his turns takes 1 or 10 stones. The second player on each of his turns takes $m$ or $n$ stones. They take turns, starting with the first player. The player who cannot make a move loses. It is known that with any initial n... | null | null |
[
{
"from": "user",
"value": "Given the advanced system designed for structured data storage with high volume requirements which utilizes a hybrid method of \"hot\" and \"cold\" storage mechanisms, develop a comprehensive paper that proposes optimal \"hot\" retention window along with assessing the tradeoffs ... | null | null | null |
[
{
"from": "user",
"value": "Given the sets A={x|2x2+x＞0} and B={x|2x+1＞0}, find A∩B.\n\nA: $$\\{x|x＞- \\frac {1}{2}\\}$$\nB: $$\\{x|x＞ \\frac {1}{2}\\}$$\nC: {x|x＞0}\nD: R"
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see. I need to find the intersection of sets A and B. Set A is def... | Given the sets A={x|2x2+x＞0} and B={x|2x+1＞0}, find A∩B.
A: $$\{x|x＞- \frac {1}{2}\}$$
B: $$\{x|x＞ \frac {1}{2}\}$$
C: {x|x＞0}
D: R | null | null |
[
{
"from": "user",
"value": "Winston has 14 quarters. He then spends half a dollar on candy. How many cents does he have left? Please respond by writing a program in Python."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem here where Winston has 14 quarters and he spends... | null | null | null |
[
{
"from": "user",
"value": "50. In the city, 2019 metro stations have been built. Some pairs of stations are connected by tunnels, and from any station, you can reach any other station via the tunnels. The mayor ordered the organization of several metro lines: each line must include several different statio... | 50. In the city, 2019 metro stations have been built. Some pairs of stations are connected by tunnels, and from any station, you can reach any other station via the tunnels. The mayor ordered the organization of several metro lines: each line must include several different stations, sequentially connected by tunnels (t... | null | null |
[
{
"from": "user",
"value": "Implement an API call in Python using the requests library to retrieve a list of users from a sample endpoint and print the names of the users.\nhttps://jsonplaceholder.typicode.com/users"
},
{
"from": "assistant",
"value": "**Implementing API Call to Retrieve User Li... | null | null | null |
[
{
"from": "user",
"value": "Continue the following story.\n\nNelson smelled much cleaner and fresher than Samuel did although"
},
{
"from": "assistant",
"value": "...although they had both just emerged from the same sweaty, exhausting hike through the dense forest. As they stood side by side, ca... | null | null | null |
[
{
"from": "user",
"value": "Your prompt is to create a short video clip according to given parameters:\nINPUT = {focus}, {background}, {lighting}\nOUTPUT = {description} \\n \n{description} = {focusDetailed},%20{backgroundDetails},%20{lightingDetai... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Three athletes started simultaneously from point $A$ and ran in a straight line to point $B$ each at their constant speed. Upon reaching point $B$, each of them immediately turned back and ran at a different constant speed to the finis... | Three athletes started simultaneously from point $A$ and ran in a straight line to point $B$ each at their constant speed. Upon reaching point $B$, each of them immediately turned back and ran at a different constant speed to the finish at point $A$. Their coach ran alongside and was always at the point where the sum o... | null | null |
[
{
"from": "user",
"value": "Determine the distance between the points represented by the complex numbers -11 + 3i and 3 - 7i in the complex plane."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the distance between two points in the complex plane represented by the complex... | null | tiger_math | 44,799 |
[
{
"from": "user",
"value": "Detailed Instructions: A text is given in Bengali. Translate it from the Bengali language to the Panjabi language. The translation must not omit or add information to the original sentence.\nQ: প্রধানমন্ত্রী শ্রী নরেন্দ্র মোদীর পৌরহিত্যে কেন্দ্রীয় মন্ত্রিসভার বৈঠকে আজ পারদ সংক্র... | null | null | null |
[
{
"from": "user",
"value": "Using 12 cubes with an edge length of 1 decimeter each to form a rectangular solid, the minimum surface area of the formed rectangular solid is square decimeters, and the maximum is square decimeters."
},
{
"from": "assistant",
"value": "<think>\nOkay, let's s... | Using 12 cubes with an edge length of 1 decimeter each to form a rectangular solid, the minimum surface area of the formed rectangular solid is square decimeters, and the maximum is square decimeters. | null | null |
[
{
"from": "user",
"value": "I have a project running Java in a docker image on Kubernetes. Logs are automatically ingested by the fluentd agent and end up in Stackdriver. However, the format of the logs is wrong: Multiline logs get put into separate log lines in Stackdriver, and all logs have \"INFO\" log l... | null | null | null |
[
{
"from": "user",
"value": "In prefix notation, the operator precedes the operands, enabling an imaginative understanding where the operator invokes next() in a recursively structured manner. In contrast, infix notation positions the operator amidst the operands, allowing for a conceptualization akin to a p... | null | evolcodegolf | null |
[
{
"from": "user",
"value": "What is the number of units in the area of the circle with center at $P$ and passing through $Q$? Express your answer in terms of $\\pi$.\n\n[asy]\nsize(150); pair P = (-3,4), Q=(9,-3); string stringpair(pair p){return \"$(\"+string(p.x)+\", \"+string(p.y)+\"$)\";}\ndraw((-15,0)-... | null | tiger_lab_math | 39,071 |
[
{
"from": "user",
"value": "Definition: In this task, you're given a review from Amazon's food products. Your task is to generate a short summary of the given review in the input. Note that you don't need to write a complete sentence as a summary.\nInput: the baby white popcorn has lots of hulls when popped... | null | null | null |
[
{
"from": "user",
"value": "For the parabola $y=\\left(x+2\\right)^{2}-1$, which of the following statements is incorrect?\n\nA: Opens upwards\n\nB: Symmetry axis is the line $x=-2$\n\nC: When $x \\gt -2$, $y$ decreases as $x$ increases\n\nD: At $x=-2$, the function has a minimum value of $y=-1$"
},
{
... | For the parabola $y=\left(x+2\right)^{2}-1$, which of the following statements is incorrect?
A: Opens upwards
B: Symmetry axis is the line $x=-2$
C: When $x \gt -2$, $y$ decreases as $x$ increases
D: At $x=-2$, the function has a minimum value of $y=-1$ | null | null |
[
{
"from": "user",
"value": "What has roots as nobody sees, is taller than trees. Up, up it goes, and yet never grows?"
},
{
"from": "assistant",
"value": "A classic riddle!\n\nThe answer is: **A Mountain**\n\nHere's how the answer fits the clues:\n\n1. **\"Roots as nobody sees\"**: A mountain ha... | null | null | null |
[
{
"from": "user",
"value": "Consider a scenario where you are provided with a string input. If the length of the string is even, divide the string into two equal segments and subsequently reverse each segment to produce a modified version termed the \"reversencoded\" string. For instance: \nonomatopoeia -> ... | null | evolcodegolf | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find all non-negative integers \\( x \\) and \\( y \\) such that:\n\n\\[ \n2^{x} = y^{2} + y + 1 \n\\]"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find all non-negative integers x and y that satisfy the... | Find all non-negative integers \( x \) and \( y \) such that:
\[
2^{x} = y^{2} + y + 1
\] | null | null |
[
{
"from": "user",
"value": "A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is R... | null | null | null |
[
{
"from": "user",
"value": "How can I create a function that uses multiprocessing to complete a task with a pool of N processes?"
},
{
"from": "assistant",
"value": "**Creating a Multiprocessing Function with a Pool of N Processes**\n==============================================================... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given that $\\odot O$ is the circumcircle of right triangle $\\triangle ABC$ with $AB$ as the diameter of $\\odot O$, and $\\odot Q$ is tangent to sides $AC$ and $BC$, prove that $\\odot Q$ is tangent to $\\odot O$ if and only if the r... | Given that $\odot O$ is the circumcircle of right triangle $\triangle ABC$ with $AB$ as the diameter of $\odot O$, and $\odot Q$ is tangent to sides $AC$ and $BC$, prove that $\odot Q$ is tangent to $\odot O$ if and only if the radius of $\odot Q$ equals $AC + BC - AB$. | null | null |
[
{
"from": "user",
"value": "I need to create a Bash script that takes two string arguments and prints the number of characters in common in both strings. How can I achieve this?"
},
{
"from": "assistant",
"value": "**Character Intersection Counter Bash Script**\n=================================... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Do there exist polynomials $p(x), q(x), r(x)$ whose coefficients are positive integers such that $p(x) = (x^{2}-3x+3) q(x)$ and $q(x) = (\\frac{x^{2}}{20}-\\frac{x}{15}+\\frac{1}{12}) r(x)$ ?"
},
{
"from": "assistant",
... | Do there exist polynomials $p(x), q(x), r(x)$ whose coefficients are positive integers such that $p(x) = (x^{2}-3x+3) q(x)$ and $q(x) = (\frac{x^{2}}{20}-\frac{x}{15}+\frac{1}{12}) r(x)$ ? | null | null |
[
{
"from": "user",
"value": "My wife and i stayed at Aria March 31-April 5 for our anniversary. Check in was fine, and we looked forward to the experience that we heard so much about....opening your door and having the lights and music coming on along with the curtains opening....didn\\\\t happen....we walke... | null | null | null |
[
{
"from": "user",
"value": "Given functions $y=2\\cos x$ and $y=2\\sin \\left(2x+\\varphi \\right)$ where $0\\leqslant \\varphi\\ \\lt \\pi$, they have an intersection point with an x-coordinate of $\\frac{\\pi}{3}$. Find the value of $\\varphi$."
},
{
"from": "assistant",
"value": "<think>\nOka... | Given functions $y=2\cos x$ and $y=2\sin \left(2x+\varphi \right)$ where $0\leqslant \varphi\ \lt \pi$, they have an intersection point with an x-coordinate of $\frac{\pi}{3}$. Find the value of $\varphi$. | null | null |
[
{
"from": "user",
"value": "Do these two sentences mean the same thing?\nIt would not affect economic damages such as lost wages or hospital bills .\nEconomic damages , such as lost wages or medical costs , wouldn 't be capped under Bush 's plan .\n\nSelect from the following.\n a). no\n b). yes...I think t... | null | null | null |
[
{
"from": "user",
"value": "You are tasked with implementing a Graph Attention Network (GAT) layer using PyTorch. The GAT layer is a type of neural network layer designed to operate on graph-structured data, where nodes in the graph represent entities and edges represent relationships between them. The GAT ... | null | null | null |
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