conversations listlengths 2 2 | question stringlengths 16 24.8k ⌀ | source stringclasses 10
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"from": "user",
"value": "Create a list of skills required to become a software engineer."
},
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"value": "Here is a comprehensive list of skills required to become a successful software engineer:\n\n**Technical Skills:**\n\n1. **Programming Languages**:\n\t* Proficiency in... | null | null | null |
[
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"value": "In MATLAB, how can I locate the highest value within an array? I have an array with the following values: [2, 15, 3, 6, 7]. Can you provide me with the necessary MATLAB code to extract the largest number from this list? Furthermore, could you offer any alternative approaches to i... | null | null | null |
[
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"value": "Given that the sum of the first $n$ terms of the sequence $\\{a_{n}\\}$ is $S_{n}$, which of the following statements is correct?\n\nA: If $S_{n}=n^{2}+n$, then $\\{a_{n}\\}$ is an arithmetic sequence.\n\nB: If $\\{a_{n}\\}$ is a geometric sequence, and $a_{1} \\gt 0$, $q \\gt 0$... | Given that the sum of the first $n$ terms of the sequence $\{a_{n}\}$ is $S_{n}$, which of the following statements is correct?
A: If $S_{n}=n^{2}+n$, then $\{a_{n}\}$ is an arithmetic sequence.
B: If $\{a_{n}\}$ is a geometric sequence, and $a_{1} \gt 0$, $q \gt 0$, then $S_{1}\cdot S_{3} \gt {S}_{2}^{2}$.
C: If $\... | null | null |
[
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"value": "3. $a, b, c \\in R^{+}$ and satisfy $a^{m}+b^{m}=c^{m}, 1<m<2$. If $a, b, c$ are used as the three sides of a triangle, then the result is\n(A) cannot form a triangle\n(B) can form an obtuse triangle\n(C) can form a right triangle"
},
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"value": "... | 3. $a, b, c \in R^{+}$ and satisfy $a^{m}+b^{m}=c^{m}, 1<m<2$. If $a, b, c$ are used as the three sides of a triangle, then the result is
(A) cannot form a triangle
(B) can form an obtuse triangle
(C) can form a right triangle | null | null |
[
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"value": "I want to create a wind speed prediction model using machine learning. Can you provide a code example using linear regression?"
},
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"value": "<think>\nOkay, the user wants to create a wind speed prediction model using machine learning and specifi... | null | sharegpt | null |
[
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"value": "Solve the system of inequalities $$\\begin{cases} \\frac {x-2}{x-1}<1 \\\\ -x^{2}+x+2<0 \\end{cases}$$."
},
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"value": "<think>\nOkay, let me try to solve this system of inequalities. So, there are two inequalities here:\n\nFirst, (x - 2)/(x - 1) ... | Solve the system of inequalities $$\begin{cases} \frac {x-2}{x-1}<1 \\ -x^{2}+x+2<0 \end{cases}$$. | null | null |
[
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"value": "You are working on a security system that uses sensors to detect various types of activities. The system has different sensor types and needs to classify the detected activities as either suspicious or normal. You are given a Python code snippet that defines a sensor type and a c... | null | null | null |
[
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"value": "I need help creating a search algorithm in Python. I want to search for a specific target value in a given array. Can someone provide a solution?"
},
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"value": "**Search Algorithm in Python**\n=====================================\n\nHere's a hig... | null | null | null |
[
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"value": "It’s just another Wednesday, and I need a boost. Draw me a whimsical forest. The fewer the details, the better! \nTake no input and generate this image precisely: \n```\n /\\\n / \\\n /____\\\n / \\\n /________\\\n | ~ ~ |\n | o o ... | null | null | null |
[
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"from": "user",
"value": "# Problem 1.\n\nA rule is given by which each pair of integers $X$ and $Y$ is assigned a number $X \\nabla Y$. (The symbol «»» means applying the rule to the numbers $X$ and $Y$.) It is known that for any integers $X, Y$ the following properties hold:\n\n1) $X \\nabla 0=X$\n2) $X... | # Problem 1.
A rule is given by which each pair of integers $X$ and $Y$ is assigned a number $X \nabla Y$. (The symbol «»» means applying the rule to the numbers $X$ and $Y$.) It is known that for any integers $X, Y$ the following properties hold:
1) $X \nabla 0=X$
2) $X \nabla(Y-1)=(X \nabla Y)-2$
3) $X \nabla(Y+1)=... | null | null |
[
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"value": "Given the graph of the power function $y=f(x)$ passes through the point $(2, \\sqrt{2})$, then $f(x)=$ （ ）\nA: $x^{\\frac{1}{2}}$\nB: $x$\nC: $x^2$\nD: $x^{-\\frac{1}{2}}$"
},
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"value": "<think>\nOkay, so I have this problem here where I need to... | Given the graph of the power function $y=f(x)$ passes through the point $(2, \sqrt{2})$, then $f(x)=$ （ ）
A: $x^{\frac{1}{2}}$
B: $x$
C: $x^2$
D: $x^{-\frac{1}{2}}$ | null | null |
[
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"value": "2.2. Find all values of $a$ for which the quadratic function $f(x)=a x^{2}-4 a x+1$ takes values, the modulus of which does not exceed 3, at all points of the interval $[0 ; 4]$. In your answer, specify the total length of the intervals to which the found values of $a$ belong."
... | 2.2. Find all values of $a$ for which the quadratic function $f(x)=a x^{2}-4 a x+1$ takes values, the modulus of which does not exceed 3, at all points of the interval $[0 ; 4]$. In your answer, specify the total length of the intervals to which the found values of $a$ belong. | null | null |
[
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"value": "Remove the brackets from $a-\\left(b-c\\right)$, the result is:\n\nA: $a-b+c$\n\nB: $a+b+c$\n\nC: $a-b-c$\n\nD: $a+b-c$"
},
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"from": "assistant",
"value": "<think>\nOkay, so I have this algebra problem here: I need to remove the brackets from the expression a minus (... | Remove the brackets from $a-\left(b-c\right)$, the result is:
A: $a-b+c$
B: $a+b+c$
C: $a-b-c$
D: $a+b-c$ | null | null |
[
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"value": "3. In $\\triangle A B C$, if $A B=A C, \\angle B A C=$ $120^{\\circ}, D$ is the midpoint of side $B C$, and $D E \\perp A B$ at $E$. Then $A E: B D=$"
},
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"value": "<think>\nOkay, let's see. I need to find the ratio AE : BD in triangle ABC where ... | 3. In $\triangle A B C$, if $A B=A C, \angle B A C=$ $120^{\circ}, D$ is the midpoint of side $B C$, and $D E \perp A B$ at $E$. Then $A E: B D=$ | null | null |
[
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"value": "2. If $M=(|x+2|-|x|+2)(|x+2|-|x|-2)$, then $(\\quad)$\n( A ) $M>0$\n( B ) $M \\leq 0$\n( C ) $M<0$\n( D ) $M \\geq 0$"
},
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"value": "<think>\nOkay, so I need to solve this problem where M is defined as (|x + 2| - |x| + 2)(|x + 2| - |x| - 2), and ... | 2. If $M=(|x+2|-|x|+2)(|x+2|-|x|-2)$, then $(\quad)$
( A ) $M>0$
( B ) $M \leq 0$
( C ) $M<0$
( D ) $M \geq 0$ | null | null |
[
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"value": "Given that $\\sqrt{2+\\frac{2}{3}}=2\\sqrt{\\frac{2}{3}}$, $\\sqrt{3+\\frac{3}{8}}=3\\sqrt{\\frac{3}{8}}$, $\\sqrt{4+\\frac{4}{15}}=4\\sqrt{\\frac{4}{15}},\\cdots ,\\sqrt{8+\\frac{a}{t}}=8\\sqrt{\\frac{a}{t}},a,t\\in \\mathbb{R}_{+},$ then $a+t=$ __( )__ \nA: $70$ \nB: $68$ ... | Given that $\sqrt{2+\frac{2}{3}}=2\sqrt{\frac{2}{3}}$, $\sqrt{3+\frac{3}{8}}=3\sqrt{\frac{3}{8}}$, $\sqrt{4+\frac{4}{15}}=4\sqrt{\frac{4}{15}},\cdots ,\sqrt{8+\frac{a}{t}}=8\sqrt{\frac{a}{t}},a,t\in \mathbb{R}_{+},$ then $a+t=$ __( )__
A: $70$
B: $68$
C: $69$
D: $71$ | null | null |
[
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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.Dima's got a staircase that consists of n stairs. The first stair is at height a1, the second one is... | 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.Dima's got a staircase that consists of n stairs. The first stair is at height a1, the second one is at a2, the last one is at an (1 ≤ a1 ≤ ... | null | null |
[
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"value": "Given a circle centered at \\( C(C_x, C_y) \\) with radius \\( r \\) and a line defined by two points \\( A(x_1, y_1) \\) and \\( B(x_2, y_2) \\), derive the conditions under which the line segment \\( AB \\) intersects the circle. Specifically, what steps must be taken to ensure... | null | automath | 21,567 |
[
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"value": "The objective of this challenge is to devise an advanced storage and retrieval framework that will most efficiently ascertain whether a collection of recurrence definitions resides within a specified date range. \n\nConsider the intricate schema: Event -|--has one or many--<- Sch... | null | evolcodegolf | null |
[
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"value": "In a certain grade, there were originally 280 students, divided into several classes with the same number of students. At the beginning of the new school year, the number of students in the grade increased to 585, and they were still divided into several classes with the same num... | In a certain grade, there were originally 280 students, divided into several classes with the same number of students. At the beginning of the new school year, the number of students in the grade increased to 585, and they were still divided into several classes with the same number of students, but there were 6 more c... | null | null |
[
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"value": "Return your final response within \\boxed{}. In a convex quadrilateral, the tangent of one of the angles is equal to the number \\( m \\). Can the tangents of each of the other three angles also be equal to \\( m \\)?"
},
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"value": "<think>\nOkay... | In a convex quadrilateral, the tangent of one of the angles is equal to the number \( m \). Can the tangents of each of the other three angles also be equal to \( m \)? | null | null |
[
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"value": "Given that $x > 0$, $y > 0$, and $x + 4y = xy$, find the minimum value of $x + y$."
},
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"value": "<think>\nOkay, so I have this problem here where I need to find the minimum value of x + y, given that both x and y are positive numbers and they sa... | Given that $x > 0$, $y > 0$, and $x + 4y = xy$, find the minimum value of $x + y$. | null | null |
[
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"value": "Given that $\\cos \\left(α - \\frac {π}{6}\\right) + \\sin α = \\frac {4}{5} \\sqrt {3}$, find the value of $\\sin \\left(α + \\frac {7π}{6}\\right)$."
},
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"value": "<think>\nOkay, so I need to find the value of sin(α + 7π/6) given that cos(α - π... | Given that $\cos \left(α - \frac {π}{6}\right) + \sin α = \frac {4}{5} \sqrt {3}$, find the value of $\sin \left(α + \frac {7π}{6}\right)$. | null | null |
[
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"value": "If the solution set of the inequality $ax^{2}+bx+3 \\gt 0$ with respect to $x$ is $({-1,\\frac{1}{2}})$, where $a$ and $b$ are constants, then the solution set of the inequality $3x^{2}+bx+a \\lt 0$ is ( )\n\nA: $(-2,1)$\n\nB: $(-1,2)$\n\nC: $({-\\frac{1}{2}，1})$\n\nD: $(-1$，$\\f... | If the solution set of the inequality $ax^{2}+bx+3 \gt 0$ with respect to $x$ is $({-1,\frac{1}{2}})$, where $a$ and $b$ are constants, then the solution set of the inequality $3x^{2}+bx+a \lt 0$ is ( )
A: $(-2,1)$
B: $(-1,2)$
C: $({-\frac{1}{2}，1})$
D: $(-1$，$\frac{1}{2})$ | null | null |
[
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"value": "Given that $a$ and $b$ are both positive real numbers and satisfy the equation $\\log_{9}(9a+b)=\\log_{3} \\sqrt{ab}$, find the minimum value of $3a+b$."
},
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"from": "assistant",
"value": "<think>\nOkay, so I need to find the minimum value of 3a + b, given that a and... | Given that $a$ and $b$ are both positive real numbers and satisfy the equation $\log_{9}(9a+b)=\log_{3} \sqrt{ab}$, find the minimum value of $3a+b$. | null | null |
[
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"value": "A tetrahedron is cut by planes parallel to its faces and tangent to the inscribed sphere, resulting in four smaller tetrahedra. What is the radius of the sphere inscribed in the original tetrahedron if the radii of the spheres inscribed in the smaller tetrahedra are 9, 12, 36, an... | A tetrahedron is cut by planes parallel to its faces and tangent to the inscribed sphere, resulting in four smaller tetrahedra. What is the radius of the sphere inscribed in the original tetrahedron if the radii of the spheres inscribed in the smaller tetrahedra are 9, 12, 36, and 39 units long? | null | null |
[
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"value": "In a survey of 500 people, 350 said they prefer coffee over tea. What is the 95% confidence interval for the proportion of people in the population who prefer coffee over tea?"
},
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"value": "## Step 1: Determine the sample proportion (p̂) of peop... | null | null | null |
[
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"value": "Task 2. (10 points) In triangle $ABC$ with sides $AB=9$, $AC=3$, $BC=8$, the bisector $AK$ is drawn, and a point $M$ is marked on side $AC$ such that $AM: CM=3: 1$. Point $N$ is the intersection of $AK$ and $BM$. Find $KN$.\n\n#"
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"value": "<t... | Task 2. (10 points) In triangle $ABC$ with sides $AB=9$, $AC=3$, $BC=8$, the bisector $AK$ is drawn, and a point $M$ is marked on side $AC$ such that $AM: CM=3: 1$. Point $N$ is the intersection of $AK$ and $BM$. Find $KN$.
# | null | null |
[
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"value": "Given the curve $C$: $\\begin{cases} x=3\\cos \\theta \\\\ y=2\\sin \\theta \\end{cases}(\\theta \\text{ is a parameter})$ and the line $l$: $\\begin{cases} x=2+t \\\\ y=2-2t \\end{cases}(t \\text{ is a parameter})$.\n(1) Write the general equations for the curve $C$ and the line... | Given the curve $C$: $\begin{cases} x=3\cos \theta \\ y=2\sin \theta \end{cases}(\theta \text{ is a parameter})$ and the line $l$: $\begin{cases} x=2+t \\ y=2-2t \end{cases}(t \text{ is a parameter})$.
(1) Write the general equations for the curve $C$ and the line $l$;
(2) Through any point $P$ on the curve $C$, draw a... | null | null |
[
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"value": "11. Given the function\n$$\nf(x)=a x^{2}-\\frac{1}{2} x-\\frac{3}{4}(a>0) \\text {. }\n$$\n\nIf on any closed interval of length 2, there always exist two points $x_{1} 、 x_{2}$, such that $\\left|f\\left(x_{1}\\right)-f\\left(x_{2}\\right)\\right| \\geqslant \\frac{1}{4}$, then ... | 11. Given the function
$$
f(x)=a x^{2}-\frac{1}{2} x-\frac{3}{4}(a>0) \text {. }
$$
If on any closed interval of length 2, there always exist two points $x_{1} 、 x_{2}$, such that $\left|f\left(x_{1}\right)-f\left(x_{2}\right)\right| \geqslant \frac{1}{4}$, then the minimum value of $a$ is $\qquad$. | null | null |
[
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"value": "Return your final response within \\boxed{}. Find $c$ if $a$ , $b$ , and $c$ are positive integers which satisfy $c=(a + bi)^3 - 107i$ , where $i^2 = -1$ ."
},
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"value": "<think>\nOkay, let's try to figure out how to find the value of \\(... | Find $c$ if $a$ , $b$ , and $c$ are positive integers which satisfy $c=(a + bi)^3 - 107i$ , where $i^2 = -1$ . | null | null |
[
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"value": "Given the function $f(x)=\\frac{{3}^{x}}{1+{3}^{x}}$, which of the following statements is correct?\n\nA: The graph of the function $f(x)$ is symmetric about the point $(0, \\frac{1}{2})$.\n\nB: The function $f(x)$ is decreasing on $\\mathbb{R}$.\n\nC: The range of the function $... | Given the function $f(x)=\frac{{3}^{x}}{1+{3}^{x}}$, which of the following statements is correct?
A: The graph of the function $f(x)$ is symmetric about the point $(0, \frac{1}{2})$.
B: The function $f(x)$ is decreasing on $\mathbb{R}$.
C: The range of the function $f(x)$ is $(0,1)$.
D: The solution set of the ine... | null | null |
[
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"value": "In a village, there are 20 houses. Each house has a dog that barks at every cat in the village. There are 40 cats in total. How many times do the dogs bark?"
},
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"value": "A fun problem!\n\nLet's break it down step by step:\n\n1. Each cat is bark... | null | null | null |
[
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"value": "1.26 Find the maximum value of $k$ such that $3^{11}$ can be expressed as the sum of $k$ consecutive positive integers.\n(5th American Invitational Mathematics Examination, 1987)"
},
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"value": "<think>\nOkay, so I need to find the maximum value o... | 1.26 Find the maximum value of $k$ such that $3^{11}$ can be expressed as the sum of $k$ consecutive positive integers.
(5th American Invitational Mathematics Examination, 1987) | null | null |
[
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"value": "2. (4) At a round table, 2015 people are sitting. Every minute, any two people who are friends can swap places. It turns out that, after spending some time, the people at the table can sit in any order. What is the minimum number of pairs of friends among these 2015 people?"
},... | 2. (4) At a round table, 2015 people are sitting. Every minute, any two people who are friends can swap places. It turns out that, after spending some time, the people at the table can sit in any order. What is the minimum number of pairs of friends among these 2015 people? | null | null |
[
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"value": "You are tasked with creating a logging system for an application. The system should be able to store log entries, each containing a date and time, event source, and a message. To achieve this, you need to implement a LogEntry class with the following properties:\n\n- DateAndTime:... | null | magicoder | null |
[
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"value": "Let $ABC$ be an acute-angled triangle with height intersection $H$. Let $G$ be the intersection of parallel of $AB$ through $H$ with the parallel of $AH$ through $B$. Let $I$ be the point on the line $GH$, so that $AC$ bisects segment $HI$. Let $J$ be the second intersection of ... | Let $ABC$ be an acute-angled triangle with height intersection $H$. Let $G$ be the intersection of parallel of $AB$ through $H$ with the parallel of $AH$ through $B$. Let $I$ be the point on the line $GH$, so that $AC$ bisects segment $HI$. Let $J$ be the second intersection of $AC$ and the circumcircle of the triangl... | null | null |
[
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"value": "XXIX OM - II - Problem 4\n\nFrom the vertices of a regular $2n$-gon, 3 different points are chosen randomly. Let $p_n$ be the probability that the triangle with vertices at the chosen points is acute. Calculate $\\lim_{n\\to \\infty} p_n$.\nNote. We assume that all choices of thr... | XXIX OM - II - Problem 4
From the vertices of a regular $2n$-gon, 3 different points are chosen randomly. Let $p_n$ be the probability that the triangle with vertices at the chosen points is acute. Calculate $\lim_{n\to \infty} p_n$.
Note. We assume that all choices of three different points are equally probable. | null | null |
[
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"value": "Let \\( E \\) be an elliptic curve. Define the following properties of the addition law on \\( E \\):\n\n1. \\( P + \\mathcal{O} = \\mathcal{O} + P = P \\) for all \\( P \\in E \\) (Identity)\n2. \\( P + (-P) = \\mathcal{O} \\) for all \\( P \\in E \\) (Inverse)\n3. \\( (P + Q) +... | null | automath | 38,367 |
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"value": "If the tangent line of the curve $y=ax^{2}-\\ln x$ at the point $\\left(1,a\\right)$ is parallel to the x-axis, then $a=$____."
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"value": "<think>\nOkay, so I need to find the value of 'a' such that the tangent line to the curve y = ax² - ln x... | If the tangent line of the curve $y=ax^{2}-\ln x$ at the point $\left(1,a\right)$ is parallel to the x-axis, then $a=$____. | null | null |
[
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"value": "Given complex numbers $z_{1}=\\frac{3}{a+5}+(10-a^{2})i$ and $z_{2}=\\frac{2}{1-a}+(2a-5)i$, if $\\overline{z_{1}}+z_{2}$ is a real number, find the value of the real number $a$."
},
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"value": "<think>\nOkay, so I need to find the real number \\(... | Given complex numbers $z_{1}=\frac{3}{a+5}+(10-a^{2})i$ and $z_{2}=\frac{2}{1-a}+(2a-5)i$, if $\overline{z_{1}}+z_{2}$ is a real number, find the value of the real number $a$. | null | null |
[
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"value": "Let vector $\\overrightarrow{a}=(\\cos x, \\sqrt{2}\\sin x)$ and $\\overrightarrow{b}=(1, -\\sqrt{2})$, where $x\\in \\left[0,\\pi \\right]$.$(1)$ If $(\\overrightarrow{a}-\\overrightarrow{b})∥\\overrightarrow{b}$, find the value of the real number $x$;$(2)$ Given $\\overrightarr... | Let vector $\overrightarrow{a}=(\cos x, \sqrt{2}\sin x)$ and $\overrightarrow{b}=(1, -\sqrt{2})$, where $x\in \left[0,\pi \right]$.$(1)$ If $(\overrightarrow{a}-\overrightarrow{b})∥\overrightarrow{b}$, find the value of the real number $x$;$(2)$ Given $\overrightarrow{c}=(m, -1)$ and $\overrightarrow{c}⊥\overrightarrow... | null | null |
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"value": "In a poem by Yuan Mei from the Qing Dynasty, there is a line that goes: \"The white sun does not reach everywhere, but youth comes just in time. Moss flowers as small as grains of rice, also learn to bloom like peonies.\" If the diameter of the pollen of moss flowers is approxima... | In a poem by Yuan Mei from the Qing Dynasty, there is a line that goes: "The white sun does not reach everywhere, but youth comes just in time. Moss flowers as small as grains of rice, also learn to bloom like peonies." If the diameter of the pollen of moss flowers is approximately $0.0000084$ meters, then the number $... | null | null |
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"value": "The complex number $(1+i)i=$ ( )\nA: $-1+i$\nB: $1+i$\nC: $-1-i$\nD: $1-i$"
},
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"value": "<think>\nOkay, so I need to figure out what (1 + i) times i is. Hmm, complex numbers can be a bit tricky, but let's take it step by step. First, I remember ... | The complex number $(1+i)i=$ ( )
A: $-1+i$
B: $1+i$
C: $-1-i$
D: $1-i$ | null | null |
[
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"value": "Generate a valid SQL query to extract all customers with a given last name from a customer database.\nLast name: Smith"
},
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"value": "Below is a valid SQL query designed to extract all customers with the last name \"Smith\" from a typical custome... | null | null | null |
[
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"value": "2. Given $a=\\frac{200}{157}$, and $b a^{b}=1$. Then the relationship between $A=\\log _{b} \\cos \\frac{b}{a}$ and $B=\\log _{b} \\sin \\frac{b}{a}$ is ().\n(A) $A<B$\n(B) $A>B$\n(C) $A=B$\n(D) Cannot be determined"
},
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"value": "<think>\nOkay, ... | 2. Given $a=\frac{200}{157}$, and $b a^{b}=1$. Then the relationship between $A=\log _{b} \cos \frac{b}{a}$ and $B=\log _{b} \sin \frac{b}{a}$ is ().
(A) $A<B$
(B) $A>B$
(C) $A=B$
(D) Cannot be determined | null | null |
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"value": "(5) $\\sin 6^{\\circ} \\sin 42^{\\circ} \\sin 66^{\\circ} \\sin 78^{\\circ}=$"
},
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"value": "<think>\nAlright, so I have this trigonometric expression to evaluate: sin 6° sin 42° sin 66° sin 78°. Hmm, okay. Let me think about how to approach this... | (5) $\sin 6^{\circ} \sin 42^{\circ} \sin 66^{\circ} \sin 78^{\circ}=$ | null | null |
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{
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"value": "In $\\triangle ABC$, $a$, $b$, and $c$ are the sides opposite to angles $A$, $B$, and $C$, respectively, and $\\dfrac{\\cos B}{\\cos C} = \\dfrac{b}{2a-c}$. \n$(1)$ Find the size of angle $B$; \n$(2)$ If $b= \\sqrt{7}$ and the area of $\\triangle ABC$ is $\\dfrac{3\\sqrt{3}}{2}... | In $\triangle ABC$, $a$, $b$, and $c$ are the sides opposite to angles $A$, $B$, and $C$, respectively, and $\dfrac{\cos B}{\cos C} = \dfrac{b}{2a-c}$.
$(1)$ Find the size of angle $B$;
$(2)$ If $b= \sqrt{7}$ and the area of $\triangle ABC$ is $\dfrac{3\sqrt{3}}{2}$, find the value of $a+c$. | null | null |
[
{
"from": "user",
"value": "Let unit vectors $\\overrightarrow{e_1}$ and $\\overrightarrow{e_2}$ have an angle of $\\frac{2\\pi}{3}$ between them. If $(\\overrightarrow{e_1} - 2\\overrightarrow{e_2}) \\perp (k\\overrightarrow{e_1} + \\overrightarrow{e_2})$, find the value of the real number $k$."
},
{
... | Let unit vectors $\overrightarrow{e_1}$ and $\overrightarrow{e_2}$ have an angle of $\frac{2\pi}{3}$ between them. If $(\overrightarrow{e_1} - 2\overrightarrow{e_2}) \perp (k\overrightarrow{e_1} + \overrightarrow{e_2})$, find the value of the real number $k$. | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. In a segment with a central angle $\\alpha$, an equilateral triangle is inscribed such that one vertex coincides with the midpoint of the chord of the segment, and the other two vertices lie on the arc of the segment. The height of the... | In a segment with a central angle $\alpha$, an equilateral triangle is inscribed such that one vertex coincides with the midpoint of the chord of the segment, and the other two vertices lie on the arc of the segment. The height of the triangle is $h$. Find the radius of the arc of the segment. | null | null |
[
{
"from": "user",
"value": "Given the sets $A=\\{x \\mid -1 \\leq x \\leq 1\\}$ and $B=\\{x \\mid x > 0\\}$, then $A \\cap (\\complement_{\\mathbb{R}} B)=$ （ ）\nA: $\\{x \\mid -1 \\leq x \\leq 0\\}$\nB: $\\{x \\mid -1 \\leq x < 0\\}$\nC: $\\{x \\mid -1 \\leq x \\leq 1\\}$\nD: $\\{x \\mid x \\leq 1\\}$"
}... | Given the sets $A=\{x \mid -1 \leq x \leq 1\}$ and $B=\{x \mid x > 0\}$, then $A \cap (\complement_{\mathbb{R}} B)=$ （ ）
A: $\{x \mid -1 \leq x \leq 0\}$
B: $\{x \mid -1 \leq x < 0\}$
C: $\{x \mid -1 \leq x \leq 1\}$
D: $\{x \mid x \leq 1\}$ | null | null |
[
{
"from": "user",
"value": "2. Let the function be\n$$\nf(x)=\\sqrt{\\ln x+x^{2}-a}(a \\in \\mathbf{R}) .\n$$\n\nIf there exists $b \\in[1, \\mathrm{e}]$, such that $f(f(b))=b$, then the range of the real number $a$ is . $\\qquad$"
},
{
"from": "assistant",
"value": "<think>\nOkay, let me try to... | 2. Let the function be
$$
f(x)=\sqrt{\ln x+x^{2}-a}(a \in \mathbf{R}) .
$$
If there exists $b \in[1, \mathrm{e}]$, such that $f(f(b))=b$, then the range of the real number $a$ is . $\qquad$ | null | null |
[
{
"from": "user",
"value": "Evaluate $$\\int_{0}^{1} (e^{\\pi} + 2x)dx$$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to evaluate the integral from 0 to 1 of (e^π + 2x) dx. Hmm, let me think. Integrals can sometimes be tricky, but maybe this one is straightforward. Let me recal... | Evaluate $$\int_{0}^{1} (e^{\pi} + 2x)dx$$. | null | null |
[
{
"from": "user",
"value": "QUESTION: The tree wanted to grow more, but in the garden why did the roots stop spreading?\nOptions:\n- affected by weather\n- wall in\n- grow tall\n- burn\n- hatred\nANSWER: Let me think step-by-step: The tree cant grow more due to the wall. The tree wanted to grow more, but du... | null | null | null |
[
{
"from": "user",
"value": "In the Cartesian coordinate system $xOy$, the parametric equation of curve $C_1$ is $$\\begin{cases} x= \\sqrt {3}\\cos\\theta \\\\ y=\\sin\\theta \\end{cases}$$, and in the polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the polar e... | In the Cartesian coordinate system $xOy$, the parametric equation of curve $C_1$ is $$\begin{cases} x= \sqrt {3}\cos\theta \\ y=\sin\theta \end{cases}$$, and in the polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the polar equation of curve $C_2$ is $\rho\sin\left(\theta+ ... | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. A certain kingdom has \\( k \\) metropolises and several cities. The cities (including metropolises) are connected by highways, and it is possible to travel from any city to any other city. Prove that it is possible to partition this k... | A certain kingdom has \( k \) metropolises and several cities. The cities (including metropolises) are connected by highways, and it is possible to travel from any city to any other city. Prove that it is possible to partition this kingdom into \( k \) republics so that each republic has one metropolis as its capital. ... | null | null |
[
{
"from": "user",
"value": "Given $a > 0$, $b > 0$, and $\\lg{\\sqrt{2}}$ is the arithmetic mean between $\\lg{4^a}$ and $\\lg{2^b}$, find the minimum value of $\\frac{2}{a} + \\frac{1}{b}$."
},
{
"from": "assistant",
"value": "<think>\nOkay, let me try to figure out this problem. So, the proble... | Given $a > 0$, $b > 0$, and $\lg{\sqrt{2}}$ is the arithmetic mean between $\lg{4^a}$ and $\lg{2^b}$, find the minimum value of $\frac{2}{a} + \frac{1}{b}$. | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. If $x^2+x+4 = y - 4$ and $x = -7$, what is the value of $y$?"
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see here. I need to find the value of y given the equation x² + x + 4 = y - 4 and that x is -7. Alright,... | If $x^2+x+4 = y - 4$ and $x = -7$, what is the value of $y$? | null | null |
[
{
"from": "user",
"value": "Here is a goal: stick\n\nHow would you accomplish this goal?"
},
{
"from": "assistant",
"value": "An... interesting goal!\n\nTo provide a helpful response, I'll assume the goal \"stick\" can be interpreted in a few ways. Please choose the one that aligns with your int... | null | null | null |
[
{
"from": "user",
"value": "[Question]: John has to get a new blanket. He decides to have a 7 foot by 8-foot quilt made. The quilt costs $40 per square foot. How much does his quilt cost?\n[Answer]: The quilt is 7 * 8 = 56 square feet. So it cost 40 * 56 = 2240.\nSo the answer is 2240.\n\n[Question]: James'... | null | null | null |
[
{
"from": "user",
"value": "Two variables $x$, $y$ and their correlation coefficient $r$ have the following statements: \n(1) If $r>0$, then as $x$ increases, $y$ also increases correspondingly; \n(2) If $r<0$, then as $x$ increases, $y$ also increases correspondingly; \n(3) If $r=1$ or $r=-1$, then the ... | Two variables $x$, $y$ and their correlation coefficient $r$ have the following statements:
(1) If $r>0$, then as $x$ increases, $y$ also increases correspondingly;
(2) If $r<0$, then as $x$ increases, $y$ also increases correspondingly;
(3) If $r=1$ or $r=-1$, then the relationship between $x$ and $y$ is complet... | null | null |
[
{
"from": "user",
"value": "2. In $\\triangle A B C$, $D$ and $E$ are points on sides $A B$ and $B C$ respectively, and $\\frac{B E}{E C}+\\frac{B D}{D A}=2 \\sqrt{2}, A E$ intersects $C D$ at $F$, and the extension of $B F$ intersects $A C$ at $G$. Then $\\frac{B F}{F G}=(\\quad)$.\n(A) $\\sqrt{2}$\n(B) $2... | 2. In $\triangle A B C$, $D$ and $E$ are points on sides $A B$ and $B C$ respectively, and $\frac{B E}{E C}+\frac{B D}{D A}=2 \sqrt{2}, A E$ intersects $C D$ at $F$, and the extension of $B F$ intersects $A C$ at $G$. Then $\frac{B F}{F G}=(\quad)$.
(A) $\sqrt{2}$
(B) $2 \sqrt{2}$
(C) $4 \sqrt{2}$
(D) 8 | null | null |
[
{
"from": "user",
"value": "You are tasked with implementing a custom exception class and handling it within a Python web application. Your goal is to create a custom exception class called `CourseNotFoundException` and handle it within a Django view function. The `CourseNotFoundException` should be raised ... | null | magicoder | null |
[
{
"from": "user",
"value": "An electronics store sold 7 laptops, 18 tablets, 5 gaming consoles, and 9 smartwatches in a single day. The laptops cost $800 each, tablets cost $250 each, gaming consoles cost $300 each, and smartwatches cost $100 each. How much money did the store earn that day?"
},
{
"... | null | null | null |
[
{
"from": "user",
"value": "How can I write a JavaScript function to extract specific fields from a JSON object?"
},
{
"from": "assistant",
"value": "<think>\nOkay, I need to write a JavaScript function that extracts specific fields from a JSON object. Let me think about how to approach this.\n\... | null | sharegpt | null |
[
{
"from": "user",
"value": "Among the numbers $2^{-75}$, $3^{-50}$, $5^{-25}$, $80^{-12.5}$, the largest one is ( )\nA: $2^{-75}$\nB: $3^{-50}$\nC: $5^{-25}$\nD: $80^{-12.5}$"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to figure out which of these numbers is the largest: 2^{-7... | Among the numbers $2^{-75}$, $3^{-50}$, $5^{-25}$, $80^{-12.5}$, the largest one is ( )
A: $2^{-75}$
B: $3^{-50}$
C: $5^{-25}$
D: $80^{-12.5}$ | null | null |
[
{
"from": "user",
"value": "Summarize this article in one sentence.\n\nThe match at the Caledonian Stadium will now be played on Tuesday, 12 April, with a 19:45 BST kick-off.\nUp to 12 Hearts players have been suffering from gastroenteritis and an under-20s match was cancelled to provide cover.\nHead coach ... | null | null | null |
[
{
"from": "user",
"value": "Given the formula for the distance $d$ from a point $(x_0, y_0)$ to a line $Ax + By + C = 0$ in a plane, $d = \\frac{|Ax_0 + By_0 + C|}{\\sqrt{A^2 + B^2}}$, derive the distance from a point $(2, 4, 1)$ to the line $x + 2y + 2z + 3 = 0$ in space."
},
{
"from": "assistant",... | Given the formula for the distance $d$ from a point $(x_0, y_0)$ to a line $Ax + By + C = 0$ in a plane, $d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}$, derive the distance from a point $(2, 4, 1)$ to the line $x + 2y + 2z + 3 = 0$ in space. | null | null |
[
{
"from": "user",
"value": "Implement an algorithm to subtract two strings, represented as linked lists, in the order they appear and return the result as a linked list.\n\nThe linked lists may contain digits from 0 to 9. You can assume that the input strings are well-formed and do not contain leading zeros... | null | codefeedback | null |
[
{
"from": "user",
"value": "Given that the pole of the polar coordinate system is at the origin $O$ of the rectangular coordinate system, the polar axis coincides with the positive semi-axis of the $x$-axis, and the length units are the same, the polar coordinate equation of line $l$ is: $ρ= \\frac {5}{\\si... | Given that the pole of the polar coordinate system is at the origin $O$ of the rectangular coordinate system, the polar axis coincides with the positive semi-axis of the $x$-axis, and the length units are the same, the polar coordinate equation of line $l$ is: $ρ= \frac {5}{\sin (θ- \frac {π}{3})}$, and point $P(2\cos ... | null | null |
[
{
"from": "user",
"value": "## Task A-2.3.\n\nDetermine all triples $(x, y, z)$ of positive real numbers that satisfy the system of equations\n\n\\[\n\\begin{aligned}\n3\\lfloor x\\rfloor - \\{y\\} + \\{z\\} & = 20.3 \\\\\n3\\lfloor y\\rfloor + 5\\lfloor z\\rfloor - \\{x\\} & = 15.1 \\\\\n\\{y\\} + \\{z\\} ... | ## Task A-2.3.
Determine all triples $(x, y, z)$ of positive real numbers that satisfy the system of equations
\[
\begin{aligned}
3\lfloor x\rfloor - \{y\} + \{z\} & = 20.3 \\
3\lfloor y\rfloor + 5\lfloor z\rfloor - \{x\} & = 15.1 \\
\{y\} + \{z\} & = 0.9
\end{aligned}
\]
For a real number $t$, $\lfloor t\rfloor$ de... | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Four spheres of radius 1 touch each other pairwise. Find the radius of a sphere that touches all four spheres."
},
{
"from": "assistant",
"value": "<think>\nAlright, so I have this problem here: Four spheres of radius 1 tou... | Four spheres of radius 1 touch each other pairwise. Find the radius of a sphere that touches all four spheres. | null | null |
[
{
"from": "user",
"value": "What would be the most effective diplomatic approach for King Leo to form a powerful coalition of allies from multiple zodiac kingdoms with significant army size to combat Scorpio, taking into consideration the complex web of existing alliances and enmities? Please provide a deta... | null | null | null |
[
{
"from": "user",
"value": "Name a famous scientist from the 19th century."
},
{
"from": "assistant",
"value": "Here's a famous scientist from the 19th century:\n\n**Charles Darwin (1809-1882)**\n\nEnglish naturalist, biologist, and geologist, best known for his theory of **Evolution through Nat... | null | null | null |
[
{
"from": "user",
"value": "How can I write a JavaScript program that optimizes a website for different search engines by implementing SEO techniques?"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to write a JavaScript program that optimizes a website for different search engines... | null | sharegpt | null |
[
{
"from": "user",
"value": "Given $\\overrightarrow{a} =(2,3,-1)$ and $\\overrightarrow{b} =(-2,1,3)$, find $\\overrightarrow{a} - \\overrightarrow{b} =$ $\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_$ and $|\\overrightarrow{a} - \\overrightarrow{b} |=$ $\\_\\_\\_\\_\\_\\_\\_$."
},... | Given $\overrightarrow{a} =(2,3,-1)$ and $\overrightarrow{b} =(-2,1,3)$, find $\overrightarrow{a} - \overrightarrow{b} =$ $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ and $|\overrightarrow{a} - \overrightarrow{b} |=$ $\_\_\_\_\_\_\_$. | null | null |
[
{
"from": "user",
"value": "How can I use JSP to dynamically generate and populate a div element with a specific ID using Java code? I want to create a web page that displays content within a div element with the ID \"main-content\", and I want to be able to populate this div with dynamic content using Java... | null | glaive | null |
[
{
"from": "user",
"value": "Let \\\\(0 < x < 1\\\\), the minimum value of the function \\\\(y=\\dfrac{4}{x}+\\dfrac{1}{1-x}\\\\) is \\\\((\\\\) \\\\()\\\\)\nA: \\\\(\\dfrac{27}{2}\\\\)\nB: \\\\(9\\\\)\nC: \\\\(10\\\\)\nD: \\\\(8\\\\)"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I ne... | Let \\(0 < x < 1\\), the minimum value of the function \\(y=\dfrac{4}{x}+\dfrac{1}{1-x}\\) is \\((\\) \\()\\)
A: \\(\dfrac{27}{2}\\)
B: \\(9\\)
C: \\(10\\)
D: \\(8\\) | null | null |
[
{
"from": "user",
"value": "If the equation $\\frac{{x-3}}{{x+2}}+\\frac{{x+1}}{{x+2}}=\\frac{m}{{x+2}}$ has no solution for $x$, then the value of $m$ is ( )\n\nA: $-6$\n\nB: $0$\n\nC: $-2$\n\nD: $-1$"
},
{
"from": "assistant",
"value": "<think>\nOkay, let me try to solve this problem. The equa... | If the equation $\frac{{x-3}}{{x+2}}+\frac{{x+1}}{{x+2}}=\frac{m}{{x+2}}$ has no solution for $x$, then the value of $m$ is ( )
A: $-6$
B: $0$
C: $-2$
D: $-1$ | null | null |
[
{
"from": "user",
"value": "A lion can run at a top speed of 50 mph, while a zebra can run at speeds of up to 30 miles per hour. If one mile per hour is about 1.5 feet per second, how many seconds would it take for a lion traveling at top speed to catch up to a fleeing zebra also running at top speed if the... | null | nvidia_math | 21,870 |
[
{
"from": "user",
"value": "6. If the real number $x$ satisfies $||x^{2}-4 x-5|-6|=a$ and there are exactly 6 values of $x$, then the range of the real number $a$ is ( ).\n(A) $-6 \\leqslant a \\leqslant 0$\n(B) $0<a \\leqslant 3$\n(C) $3<a<6$\n(D) $6 \\leqslant a<9$"
},
{
"from": "assistant",
"... | 6. If the real number $x$ satisfies $||x^{2}-4 x-5|-6|=a$ and there are exactly 6 values of $x$, then the range of the real number $a$ is ( ).
(A) $-6 \leqslant a \leqslant 0$
(B) $0<a \leqslant 3$
(C) $3<a<6$
(D) $6 \leqslant a<9$ | null | null |
[
{
"from": "user",
"value": "3. If $y=\\sqrt{3} \\sin \\frac{x}{4} \\cdot\\left(1+\\cos \\frac{x}{2}\\right)(0 \\leqslant x \\leqslant 2 \\pi)$, then the maximum value of $y$ is ( ).\n(A) $2 \\sqrt{3}$\n(B) $\\frac{4}{3}$\n(C) $\\frac{4 \\sqrt{3}}{9}$\n(D) $\\frac{\\sqrt{3}}{2}$"
},
{
"from": "assist... | 3. If $y=\sqrt{3} \sin \frac{x}{4} \cdot\left(1+\cos \frac{x}{2}\right)(0 \leqslant x \leqslant 2 \pi)$, then the maximum value of $y$ is ( ).
(A) $2 \sqrt{3}$
(B) $\frac{4}{3}$
(C) $\frac{4 \sqrt{3}}{9}$
(D) $\frac{\sqrt{3}}{2}$ | null | null |
[
{
"from": "user",
"value": "I would like a thorough analysis of the following poem, \"Tian Jing Sha (Autumn Thoughts)\", which portrays a desolate landscape of withered vines, ancient trees, and crows at dusk. The imagery is further enriched with a small bridge, flowing water, and a nearby human dwelling. T... | null | null | null |
[
{
"from": "user",
"value": "The sum of the first $n$ terms of an arithmetic sequence $\\{a_n\\}$ is $S_n$, and it is given that $S_5=45$ and $S_6=60$. \n(1) Find the general formula for $a_n$; \n(2) If the sequence $\\{a_n\\}$ satisfies $b_{n+1}-b_n=a_n$ ($n\\in\\mathbb{N}^*$) and $b_1=3$, find the sum of... | The sum of the first $n$ terms of an arithmetic sequence $\{a_n\}$ is $S_n$, and it is given that $S_5=45$ and $S_6=60$.
(1) Find the general formula for $a_n$;
(2) If the sequence $\{a_n\}$ satisfies $b_{n+1}-b_n=a_n$ ($n\in\mathbb{N}^*$) and $b_1=3$, find the sum of the first $n$ terms of $\left\{ \frac{1}{b_n} \... | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. In trapezoid \\(ABCD\\) (\\(AD \\parallel BC\\)), the angle bisectors of \\(\\angle DAB\\) and \\(\\angle ABC\\) intersect on side \\(CD\\). Find \\(AB\\) if \\(AD = 5\\) and \\(BC = 2\\)."
},
{
"from": "assistant",
"value"... | In trapezoid \(ABCD\) (\(AD \parallel BC\)), the angle bisectors of \(\angle DAB\) and \(\angle ABC\) intersect on side \(CD\). Find \(AB\) if \(AD = 5\) and \(BC = 2\). | null | null |
[
{
"from": "user",
"value": "If $x - 2x + 3x = 100$, what is the value of $x$?"
},
{
"from": "assistant",
"value": "## Step 1: Combine like terms on the left side of the equation.\nFirst, we simplify the equation by combining like terms: $x - 2x + 3x$.\n\n## Step 2: Simplify the left side of the ... | null | null | null |
[
{
"from": "user",
"value": "Given that $f(x)$ is an odd function defined on $\\mathbb{R}$, and when $x>0$, $f(x)=e^x+a$. If $f(x)$ is a monotonic function on $\\mathbb{R}$, then the minimum value of the real number $a$ is ( )\n\nA: 1 \nB: -1 \nC: -2 \nD: 2"
},
{
"from": "assistant",
"value":... | Given that $f(x)$ is an odd function defined on $\mathbb{R}$, and when $x>0$, $f(x)=e^x+a$. If $f(x)$ is a monotonic function on $\mathbb{R}$, then the minimum value of the real number $a$ is ( )
A: 1
B: -1
C: -2
D: 2 | null | null |
[
{
"from": "user",
"value": "The two sliders $\\mathrm{A}, \\mathrm{B}$ in the right figure are connected by a rod and can slide on vertical and horizontal tracks, respectively. Initially, slider $\\mathrm{A}$ is 20 cm from point 0, and slider B is 15 cm from point 0. Question: When slider $\\mathrm{A}$ slid... | The two sliders $\mathrm{A}, \mathrm{B}$ in the right figure are connected by a rod and can slide on vertical and horizontal tracks, respectively. Initially, slider $\mathrm{A}$ is 20 cm from point 0, and slider B is 15 cm from point 0. Question: When slider $\mathrm{A}$ slides down to point 0, how many centimeters has... | null | null |
[
{
"from": "user",
"value": "In the Cartesian coordinate system $xOy$, the parametric equations of curve $C_{1}$ are $\\left\\{\\begin{array}{l}x=2\\cos\\alpha\\\\ y=2+2\\sin\\alpha\\end{array}\\right.$ (where $\\alpha$ is the parameter). Taking the coordinate origin as the pole and the positive x-axis as th... | In the Cartesian coordinate system $xOy$, the parametric equations of curve $C_{1}$ are $\left\{\begin{array}{l}x=2\cos\alpha\\ y=2+2\sin\alpha\end{array}\right.$ (where $\alpha$ is the parameter). Taking the coordinate origin as the pole and the positive x-axis as the polar axis, the polar coordinate equation of curve... | null | null |
[
{
"from": "user",
"value": "You are tasked with creating a Python function to calculate statistics for test scores in a database. The function should iterate through all specialities in the database, retrieve test scores for each speciality, and then calculate the average, median, and standard deviation of ... | null | magicoder | null |
[
{
"from": "user",
"value": "But woe to them that are with child and to them who give suck in those days for there shall be great distress upon the land and wrath upon this people\n\nAdd punctuation."
},
{
"from": "assistant",
"value": "Here is the text with added punctuation:\n\n\"But woe to the... | null | null | null |
[
{
"from": "user",
"value": "In $\\triangle ABC$, if $b=2$, $A=120^{\\circ}$, the area of the triangle $S=\\sqrt{3}$, then the radius of the circumcircle is _______."
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see. I need to find the radius of the circumcircle of triangle ABC. The g... | In $\triangle ABC$, if $b=2$, $A=120^{\circ}$, the area of the triangle $S=\sqrt{3}$, then the radius of the circumcircle is _______. | null | null |
[
{
"from": "user",
"value": "Q: Because they were worried about their car breaking down on the long drive to their new job, Kendall erred on the side of caution and looked into other options instead. Given the question \"What will Kendall want to do next?\", is \"quit their job\" a valid answer?\nThe answer... | null | null | null |
[
{
"from": "user",
"value": "Please briefly summarize this news article:\n\nVery Serious Bots\n\nHenry Farrell looks at an Economist editorial on France and wonders whether any human intelligence was involved:\n\nBut I do know that this is one of the most exquisitely refined examples of globollocks that I’ve... | null | null | null |
[
{
"from": "user",
"value": "Calculate the product of all the prime numbers between 80 and 100, but implement this using multithreading where each thread is responsible for determining if a number is prime. Additionally, integrate measures for the threads to not cause a race condition."
},
{
"from": ... | null | sharegpt | null |
[
{
"from": "user",
"value": "Select your answer from the options. How would one describe the sentiment of this tweet?\nI'm having major iPhone issues today and have resorted to a full restore wich is taking ages \nAvailable options:\n+ negative.\n+ positive."
},
{
"from": "assistant",
"value": "B... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. The digits from 1 to 9 are each used exactly once to write three one-digit integers and three two-digit integers. The one-digit integers are equal to the length, width and height of a rectangular prism. The two-digit integers are equal... | The digits from 1 to 9 are each used exactly once to write three one-digit integers and three two-digit integers. The one-digit integers are equal to the length, width and height of a rectangular prism. The two-digit integers are equal to the areas of the faces of the same prism. What is the surface area of the rectang... | null | null |
[
{
"from": "user",
"value": "You are tasked with creating a program that generates mixed input/output/functor value_type tests. The program should test the following:\n- input_value_type (int, float)\n- output_value_type (int, float)\n- thrust::plus<T> T-type (int, float, void)\n\nThe program should handle f... | null | glaive | null |
[
{
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"value": "How can the molecular weight of polyethylene be controlled during its synthesis from ethylene monomer, and how does this impact the final properties of the polyethylene product?"
},
{
"from": "assistant",
"value": "## Step 1: Understanding Polyethylene Synthesis\nPoly... | null | null | null |
[
{
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"value": "Return your final response within \\boxed{}. Given the sequence $\\left\\{a_{n}\\right\\}$ defined by $a_{0} = a_{1} = 1$ and $a_{n} = \\sqrt{\\frac{n}{2} + a_{n-1} a_{n-2}} \\text{ for } n \\geq 2$, find all real numbers $t$ such that for any positive integer $n$, $tn < a_{n} < ... | Given the sequence $\left\{a_{n}\right\}$ defined by $a_{0} = a_{1} = 1$ and $a_{n} = \sqrt{\frac{n}{2} + a_{n-1} a_{n-2}} \text{ for } n \geq 2$, find all real numbers $t$ such that for any positive integer $n$, $tn < a_{n} < tn + 1$. | null | null |
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