conversations listlengths 2 2 | question stringlengths 16 24.8k ⌀ | source stringclasses 10
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"value": "The following is a list of artists and bands associated with the new wave music genre during the late 1970s and early-to-mid 1980s. The list does not include acts associated with the resurgences and revivals of the genre that have occurred from the 1990s onward. Acts associated w... | null | null | null |
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"value": "$5 \\cdot 23$ In a carriage, any $m(m \\geqslant 3)$ passengers have a unique common friend (if A is a friend of B, then B is also a friend of A; no one is a friend of themselves), how many friends does the person with the most friends have in this carriage?\n\nIn a carriage, any... | $5 \cdot 23$ In a carriage, any $m(m \geqslant 3)$ passengers have a unique common friend (if A is a friend of B, then B is also a friend of A; no one is a friend of themselves), how many friends does the person with the most friends have in this carriage?
In a carriage, any $m(m \geqslant 3)$ passengers have a unique... | null | null |
[
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"value": "The sum of the first 3 terms of a geometric sequence $\\{a_n\\}$ is 13, and the sum of the first 6 terms is 65. Find $S_{12}$."
},
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"value": "<think>\nOkay, so I need to find the sum of the first 12 terms of a geometric sequence. The problem says... | The sum of the first 3 terms of a geometric sequence $\{a_n\}$ is 13, and the sum of the first 6 terms is 65. Find $S_{12}$. | null | null |
[
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"value": "In acute triangle $\\triangle ABC$, the sides opposite angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. Given that $\\frac{\\cos A}{\\cos C}=\\frac{a}{2b-c}$, find:\n$(1)$ The measure of angle $A$;\n$(2)$ If $a=\\sqrt{7}$, $c=3$, and $D$ is the midpoint of $BC$, find ... | In acute triangle $\triangle ABC$, the sides opposite angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. Given that $\frac{\cos A}{\cos C}=\frac{a}{2b-c}$, find:
$(1)$ The measure of angle $A$;
$(2)$ If $a=\sqrt{7}$, $c=3$, and $D$ is the midpoint of $BC$, find the length of $AD$. | null | null |
[
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"value": "Given that the random variable $\\xi$ follows a normal distribution $N(\\mu, \\delta^2)$, and $P(\\xi 6) = 0.15$, determine the value of $P(2 \\leqslant \\xi < 4)$."
},
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"value": "<think>\nOkay, so I have this problem here where the random varia... | Given that the random variable $\xi$ follows a normal distribution $N(\mu, \delta^2)$, and $P(\xi 6) = 0.15$, determine the value of $P(2 \leqslant \xi < 4)$. | null | null |
[
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"value": "[ Decimal number system ] $[$ Arithmetic. Mental calculation, etc. ]\n\nA part of a book fell out. The first of the missing pages has the number 387, and the number of the last page consists of the same digits but in a different order. How many sheets fell out of the book?"
},
... | [ Decimal number system ] $[$ Arithmetic. Mental calculation, etc. ]
A part of a book fell out. The first of the missing pages has the number 387, and the number of the last page consists of the same digits but in a different order. How many sheets fell out of the book? | null | null |
[
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"value": "translate this code from Groovy to Clojure:\n```groovy\ndef racecar(int target) {\n def memo = [:]\n def dp = { int position, int speed ->\n if (Math.abs(position) > 2 * target) return target + 1\n if (position == target) return speed == 1 ? 0 : 1\n if ... | null | dolphin | null |
[
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"value": "## Problem Statement\n\nCalculate the limit of the function:\n\n$$\n\\lim _{x \\rightarrow-3} \\frac{\\sin \\left(e^{\\frac{\\sqrt[3]{1-x^{2}}}{2}}-e^{\\sqrt[3]{x+2}}\\right)}{\\operatorname{arctg}(x+3)}\n$$"
},
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"value": "<think>\nOkay, so I hav... | ## Problem Statement
Calculate the limit of the function:
$$
\lim _{x \rightarrow-3} \frac{\sin \left(e^{\frac{\sqrt[3]{1-x^{2}}}{2}}-e^{\sqrt[3]{x+2}}\right)}{\operatorname{arctg}(x+3)}
$$ | null | null |
[
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"value": "The figure shows three squares with non-overlapping interiors. The area of the shaded square is 1 square inch. What is the area of rectangle $ABCD$, in square inches?\n\n[asy]size(100);\npair A = (0,0), D = (3,0),C = (3,2),B = (0,2);\ndraw(A--B--C--D--cycle);\ndraw(A--(1,0)--(1,1... | null | tiger_math | 49,588 |
[
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"value": "If Jane is sewing sequins onto her trapeze artist costume, and she sews 6 rows of 8 blue sequins each, 5 rows of 12 purple sequins each, and 9 rows of 6 green sequins each, what is the total number of sequins that she adds?"
},
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"value": "## Step... | null | null | null |
[
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"value": "19.2.3 * For a positive integer $k$, there exist positive integers $n, m$, such that $\\frac{1}{n^{2}}+\\frac{1}{m^{2}}=\\frac{k}{n^{2}+m^{2}}$, find all such $k$."
},
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"value": "<think>\nOkay, so I have this problem here: For a positive integer ... | 19.2.3 * For a positive integer $k$, there exist positive integers $n, m$, such that $\frac{1}{n^{2}}+\frac{1}{m^{2}}=\frac{k}{n^{2}+m^{2}}$, find all such $k$. | null | null |
[
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"value": "In my Django project, I have a utility function that takes a QuerySet as an input, processes some data from it, and returns a result. I aim to write tests for this function and I am wondering if there is a way to 'mock' a QuerySet? I want to create an object that doesn't interact... | null | null | null |
[
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"value": "You are tasked with implementing a function that parses an HTML table and extracts specific data from it. The HTML table has a structure similar to the following code snippet:\n\n```html\n<table class='table' id='datatables'>\n <thead>\n <tr>\n <th>Biaya</th>... | null | magicoder | 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": "Calculate the result of $\\sin 43^{\\circ}\\cos 13^{\\circ}-\\cos 43^{\\circ}\\sin 13^{\\circ}$.\n\nA: $\\frac{1}{2}$ \nB: $\\frac{\\sqrt{3}}{3}$ \nC: $\\frac{\\sqrt{2}}{2}$ \nD: $\\frac{\\sqrt{3}}{2}$"
},
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"value": "<think>\nOkay, so I need t... | Calculate the result of $\sin 43^{\circ}\cos 13^{\circ}-\cos 43^{\circ}\sin 13^{\circ}$.
A: $\frac{1}{2}$
B: $\frac{\sqrt{3}}{3}$
C: $\frac{\sqrt{2}}{2}$
D: $\frac{\sqrt{3}}{2}$ | null | null |
[
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"value": "Return your final response within \\boxed{}. Let \\(ABCD\\) be a convex quadrilateral with all sides and diagonals having integer lengths. Given that \\(\\angle ABC = \\angle ADC = 90^\\circ\\), \\(AB = BD\\), and \\(CD = 41\\), find the length of \\(BC\\)."
},
{
"from": ... | Let \(ABCD\) be a convex quadrilateral with all sides and diagonals having integer lengths. Given that \(\angle ABC = \angle ADC = 90^\circ\), \(AB = BD\), and \(CD = 41\), find the length of \(BC\). | 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 a line $l$ passes through the focus of the parabola $y=ax^2$ (where $a>0$) and is perpendicular to the y-axis, and if the segment cut off by the parabola on $l$ is 4 units long, then $a=$ ______."
},
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"value": "<think>\nOkay, let's try to solv... | If a line $l$ passes through the focus of the parabola $y=ax^2$ (where $a>0$) and is perpendicular to the y-axis, and if the segment cut off by the parabola on $l$ is 4 units long, then $a=$ ______. | null | null |
[
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"value": "4. Let the lengths of the two legs of a right triangle be $a$ and $b$, and the length of the hypotenuse be $c$. If $a$, $b$, and $c$ are all integers, and $c=\\frac{1}{3} a b-(a+b)$, find the number of right triangles that satisfy the condition.\n(2010, National Junior High Schoo... | 4. Let the lengths of the two legs of a right triangle be $a$ and $b$, and the length of the hypotenuse be $c$. If $a$, $b$, and $c$ are all integers, and $c=\frac{1}{3} a b-(a+b)$, find the number of right triangles that satisfy the condition.
(2010, National Junior High School Mathematics League, Tianjin Preliminary ... | 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.Prof. Hachioji has devised a new numeral system of integral numbers with four lowercase letters \"m\... | 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.Prof. Hachioji has devised a new numeral system of integral numbers with four lowercase letters "m", "c", "x", "i" and with eight digits "2"... | null | null |
[
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"value": "Calculate the result of $m^{2}\\cdot m^{3}$ is ( ).\n\nA: $6m$\n\nB: $5m$\n\nC: $m^{6}$\n\nD: $m^{5}$"
},
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"value": "<think>\nOkay, let me try to figure this problem out. The question is asking me to calculate the result of m squared multiplied b... | Calculate the result of $m^{2}\cdot m^{3}$ is ( ).
A: $6m$
B: $5m$
C: $m^{6}$
D: $m^{5}$ | null | null |
[
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"value": "Given the hyperbola $x^2 - y^2 = 1$ and its two asymptotes form a planar region $D$ with the line $x=3$ (including the boundary), for any point $(x, y)$ within $D$, the maximum value of the objective function $z=x+4y$ is ( )\n\nA: 15 \nB: 12 \nC: 9 \nD: 0"
},
{
"from"... | Given the hyperbola $x^2 - y^2 = 1$ and its two asymptotes form a planar region $D$ with the line $x=3$ (including the boundary), for any point $(x, y)$ within $D$, the maximum value of the objective function $z=x+4y$ is ( )
A: 15
B: 12
C: 9
D: 0 | null | null |
[
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"value": "Return your final response within \\boxed{}. In the Rhind Papyrus (Ancient Egypt), among other information, there are decompositions of fractions into a sum of fractions with numerator 1. For example,\n\n\\[\n\\frac{2}{73} = \\frac{1}{60} + \\frac{1}{219} + \\frac{1}{292} + \\fra... | In the Rhind Papyrus (Ancient Egypt), among other information, there are decompositions of fractions into a sum of fractions with numerator 1. For example,
\[
\frac{2}{73} = \frac{1}{60} + \frac{1}{219} + \frac{1}{292} + \frac{1}{x}
\]
One of the denominators is replaced by the letter \( x \). Find this denominator. | null | null |
[
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"value": "Can someone provide me with a Javascript function that takes two parameters and returns their sum?"
},
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"value": "Below is a simple JavaScript function named `addNumbers` that takes two parameters, `num1` and `num2`, and returns their sum. I'll a... | null | null | null |
[
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"value": "Given the set $A=\\{x|y= \\sqrt {1-x^{2}}, x\\in \\mathbb{Z}\\}$, and $B=\\{p-q|p\\in A, q\\in A\\}$, then the number of elements in set B is ( )\n\nA: 1 \nB: 3 \nC: 5 \nD: 7"
},
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"value": "<think>\nOkay, let's see. I need to find the number ... | Given the set $A=\{x|y= \sqrt {1-x^{2}}, x\in \mathbb{Z}\}$, and $B=\{p-q|p\in A, q\in A\}$, then the number of elements in set B is ( )
A: 1
B: 3
C: 5
D: 7 | null | null |
[
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"value": "10. Let $\\lfloor x\\rfloor$ denote the greatest integer less than or equal to $x$. How many positive integers less than 2005 can be expressed in the form $\\lfloor x\\lfloor x\\rfloor\\rfloor$ for some positive real $x$ ?"
},
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"value": "<think>\... | 10. Let $\lfloor x\rfloor$ denote the greatest integer less than or equal to $x$. How many positive integers less than 2005 can be expressed in the form $\lfloor x\lfloor x\rfloor\rfloor$ for some positive real $x$ ? | null | null |
[
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"value": "Adlai has 2 dogs and 1 chicken. How many animal legs are there in all?"
},
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"value": "<think>\nFirst, I need to determine the number of legs each type of animal has. Dogs have 4 legs each, and chickens have 2 legs each.\n\nNext, I'll calculate th... | null | null | null |
[
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"value": "9. Find the smallest natural number that is greater than the sum of its digits by 1755 (the year of the founding of Moscow University)."
},
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"value": "<think>\nOkay, let's see. I need to find the smallest natural number such that when you subtrac... | 9. Find the smallest natural number that is greater than the sum of its digits by 1755 (the year of the founding of Moscow University). | null | null |
[
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"value": "Given $(x^2+1)(x-2)^9 = a + a_1(x-1) + a_2(x-1)^2 + a_3(x-1)^3 + \\ldots + a_{11}(x-1)^{11}$, find the value of $a_1 + a_2 + a_3 + \\ldots + a_{11}$.\n\nA: 0 \nB: 2 \nC: 255 \nD: -2"
},
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"value": "<think>\nOkay, let's see. The problem is to fi... | Given $(x^2+1)(x-2)^9 = a + a_1(x-1) + a_2(x-1)^2 + a_3(x-1)^3 + \ldots + a_{11}(x-1)^{11}$, find the value of $a_1 + a_2 + a_3 + \ldots + a_{11}$.
A: 0
B: 2
C: 255
D: -2 | null | null |
[
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"value": "In the 2014 Heyuan Mock Test, for any real numbers $a$, $b$, $c$, the following statements are given:\n\n1. \"a = b\" is a necessary and sufficient condition for \"ac = bc\";\n2. \"a + 5 is an irrational number\" is a necessary and sufficient condition for \"a is an irrational nu... | In the 2014 Heyuan Mock Test, for any real numbers $a$, $b$, $c$, the following statements are given:
1. "a = b" is a necessary and sufficient condition for "ac = bc";
2. "a + 5 is an irrational number" is a necessary and sufficient condition for "a is an irrational number";
3. "a > b" is a sufficient condition for "a... | null | null |
[
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"value": "In the quadratic function $y=ax^{2}+bx+c\\left(a\\neq 0\\right)$, the values of $x$ and $y$ satisfy the table below:\n\n| $x$ | $\\ldots $ | $-1$ | $0$ | $1$ | $2$ | $3$ | $\\ldots $ |\n|-----|-----------|------|-----|-----|-----|-----|-----------|\n| $y$ | $\\ldots $ | $0$ | $-... | In the quadratic function $y=ax^{2}+bx+c\left(a\neq 0\right)$, the values of $x$ and $y$ satisfy the table below:
| $x$ | $\ldots $ | $-1$ | $0$ | $1$ | $2$ | $3$ | $\ldots $ |
|-----|-----------|------|-----|-----|-----|-----|-----------|
| $y$ | $\ldots $ | $0$ | $-3$| $-4$| $-3$| $0$ | $\ldots $ |
$(1)$ The coord... | null | null |
[
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"value": "The interval that contains the root of the function $f(x) = x - 4 + \\log_{2}x$ is ( )\nA: (0, 1)\nB: (1, 2)\nC: (2, 3)\nD: (3, 4)"
},
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"value": "<think>\nOkay, let's see. I need to find out which interval contains the root of the function f(x) =... | The interval that contains the root of the function $f(x) = x - 4 + \log_{2}x$ is ( )
A: (0, 1)
B: (1, 2)
C: (2, 3)
D: (3, 4) | null | null |
[
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"value": "Given the function $f(x) = \\ln(-2x) + 3x$, find $f'(-1)$."
},
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"value": "<think>\nOkay, so I need to find the derivative of the function f(x) = ln(-2x) + 3x at x = -1. Let me start by recalling some basic calculus rules. First, the derivative of... | Given the function $f(x) = \ln(-2x) + 3x$, find $f'(-1)$. | null | null |
[
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"value": "Let $\\omega$ be the unit circle centered at the origin of $R^2$. Determine the largest possible value for the radius of the circle inscribed to the triangle $OAP$ where $ P$ lies the circle and $A$ is the projection of $P$ on the axis $OX$."
},
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... | Let $\omega$ be the unit circle centered at the origin of $R^2$. Determine the largest possible value for the radius of the circle inscribed to the triangle $OAP$ where $ P$ lies the circle and $A$ is the projection of $P$ on the axis $OX$. | null | null |
[
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"value": "Return your final response within \\boxed{}. Consider a set \\( A \\) of positive integers such that the least element of \\( A \\) equals 1001 and the product of all elements of \\( A \\) is a perfect square. What is the least possible value of the greatest element of \\( A \\)?... | Consider a set \( A \) of positive integers such that the least element of \( A \) equals 1001 and the product of all elements of \( A \) is a perfect square. What is the least possible value of the greatest element of \( A \)? | null | null |
[
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"value": "The derivative of a differentiable function $y=f(x)$ in the domain of $\\mathbb{R}$ is denoted by $f'(x)$, which satisfies $f(x) > f'(x)$, and $f\\left( 0 \\right)=1$. Determine the solution set for the inequality $\\dfrac{f\\left( x \\right)}{{{e}^{x}}} < 1$."
},
{
"from... | The derivative of a differentiable function $y=f(x)$ in the domain of $\mathbb{R}$ is denoted by $f'(x)$, which satisfies $f(x) > f'(x)$, and $f\left( 0 \right)=1$. Determine the solution set for the inequality $\dfrac{f\left( x \right)}{{{e}^{x}}} < 1$. | null | null |
[
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"value": "Given the sets $M=\\{x| \\frac {x}{x-1}\\geqslant 0, x\\in \\mathbb{R}\\}$ and $N=\\{y|y=3x^{2}+1, x\\in \\mathbb{R}\\}$, then the intersection $M\\cap N$ equals to ( )\nA: $\\varnothing$\nB: $\\{x|x\\geqslant 1\\}$\nC: $\\{x|x > 1\\}$\nD: $\\{x|x\\geqslant 1\\}$ or $\\{x|x < 0\... | Given the sets $M=\{x| \frac {x}{x-1}\geqslant 0, x\in \mathbb{R}\}$ and $N=\{y|y=3x^{2}+1, x\in \mathbb{R}\}$, then the intersection $M\cap N$ equals to ( )
A: $\varnothing$
B: $\{x|x\geqslant 1\}$
C: $\{x|x > 1\}$
D: $\{x|x\geqslant 1\}$ or $\{x|x < 0\}$ | null | null |
[
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"value": "Return your final response within \\boxed{}. What is the smallest positive integer that can be written in the form $2002m + 44444n$, where $m$ and $n$ are integers?"
},
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"value": "<think>\nOkay, so I need to find the smallest positive integer tha... | What is the smallest positive integer that can be written in the form $2002m + 44444n$, where $m$ and $n$ are integers? | null | null |
[
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"value": "Enumerate four differential diagnoses for an adult patient presenting with fever and headache."
},
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"value": "Here are four potential differential diagnoses for an adult patient presenting with fever and headache:\n\n1. **Meningitis**:\n\t* Other... | null | null | null |
[
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"value": "Find all functions $f$ defined on all real numbers and taking real values such that \\[f(f(y)) + f(x - y) = f(xf(y) - x),\\] for all real numbers $x, y.$"
},
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"value": "<think>\nOkay, so I need to find all functions f from the reals to the reals ... | Find all functions $f$ defined on all real numbers and taking real values such that \[f(f(y)) + f(x - y) = f(xf(y) - x),\] for all real numbers $x, y.$ | null | null |
[
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"value": "Sophia can solve 15 math problems in one hour. If she increases her problem-solving speed by a factor of 2, how many math problems can she solve in 3 hours?"
},
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"value": "<think>\nFirst, I need to determine Sophia’s initial problem-solving rate,... | null | null | null |
[
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"value": "## Task 5 - 170835\n\nDetermine all ordered triples $\\left[P_{1} ; P_{2} ; P_{3}\\right]$ of prime numbers $P_{1}, P_{2}, P_{3}$ with $P_{2}>P_{3}$, that satisfy the equation:\n\n$$\nP_{1}\\left(P_{2}+P_{3}\\right)=165\n$$"
},
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"value": "<think>... | ## Task 5 - 170835
Determine all ordered triples $\left[P_{1} ; P_{2} ; P_{3}\right]$ of prime numbers $P_{1}, P_{2}, P_{3}$ with $P_{2}>P_{3}$, that satisfy the equation:
$$
P_{1}\left(P_{2}+P_{3}\right)=165
$$ | null | null |
[
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"value": "I am currently using Python 3 with AWS lambda. However, the AWS lambda documentation only mentions Python 2.7. Is it possible to use an application built with Python 3 in lambda, and not just Python 2.7? I am exploring options and came across this: https://gun.io/blog/announcing-... | null | sharegpt | null |
[
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"value": "Consider the following equation:\n\n$$\nx^{4}+4 x^{2}+1-a x\\left(x^{2}-1\\right)=0\n$$\n\n1. Show that if we substitute $-\\frac{1}{x}$ for $x$, we arrive at the same equation!\n2. By substituting $y=x-\\frac{1}{x}$, we obtain a quadratic equation in $y$. When are the roots of t... | Consider the following equation:
$$
x^{4}+4 x^{2}+1-a x\left(x^{2}-1\right)=0
$$
1. Show that if we substitute $-\frac{1}{x}$ for $x$, we arrive at the same equation!
2. By substituting $y=x-\frac{1}{x}$, we obtain a quadratic equation in $y$. When are the roots of this equation real?
3. Calculate the values of $x$ a... | null | null |
[
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"value": "Xu Zhimo's \"Sunrise of Mount Tai\" describes the magnificent scene of the \"Buddha's Light of Mount Tai.\" In January, the average temperature at the top of Mount Tai is $-9^{\\circ}\\mathrm{C}$, and the average temperature at the foot of the mountain is $-1^{\\circ}\\mathrm{C}$... | Xu Zhimo's "Sunrise of Mount Tai" describes the magnificent scene of the "Buddha's Light of Mount Tai." In January, the average temperature at the top of Mount Tai is $-9^{\circ}\mathrm{C}$, and the average temperature at the foot of the mountain is $-1^{\circ}\mathrm{C}$. The temperature difference between the average... | null | null |
[
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"value": "Return your final response within \\boxed{}. We may say concerning the solution of $|x|^2 + |x| - 6 =0$ that:\n$\\textbf{(A)}\\ \\text{there is only one root}\\qquad \\textbf{(B)}\\ \\text{the sum of the roots is }{+1}\\qquad \\textbf{(C)}\\ \\text{the sum of the roots is }{0}\... | We may say concerning the solution of $|x|^2 + |x| - 6 =0$ that:
$\textbf{(A)}\ \text{there is only one root}\qquad \textbf{(B)}\ \text{the sum of the roots is }{+1}\qquad \textbf{(C)}\ \text{the sum of the roots is }{0}\qquad \\ \textbf{(D)}\ \text{the product of the roots is }{+4}\qquad \textbf{(E)}\ \text{the pro... | null | null |
[
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"value": "Shapovalov A.V.\n\nBefore the start of the school chess championship, each participant said which place they expected to take. Seventh-grader Vanya said he would take the last place. By the end of the championship, everyone took different places, and it turned out that everyone, ... | Shapovalov A.V.
Before the start of the school chess championship, each participant said which place they expected to take. Seventh-grader Vanya said he would take the last place. By the end of the championship, everyone took different places, and it turned out that everyone, except, of course, Vanya, took a place wor... | null | null |
[
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"value": "Write a function that takes an array of integers and returns an array of the same size with each element equal to the sum of all the elements in the original array except itself.\n\nThe time complexity of your solution should be O(n), where n is the length of the input array.\n\n... | null | codefeedback | null |
[
{
"from": "user",
"value": "A pile of pencils, when counted in groups of 3 or groups of 4, can be counted exactly without remainder. The minimum number of pencils in this pile is ."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the minimum number of pencils in a pile t... | A pile of pencils, when counted in groups of 3 or groups of 4, can be counted exactly without remainder. The minimum number of pencils in this pile is . | null | null |
[
{
"from": "user",
"value": "How can I create a React application that allows users to search for other users by their names?"
},
{
"from": "assistant",
"value": "**Creating a React Application for User Search by Name**\n===========================================================\n\n**Step 1: Set... | null | null | null |
[
{
"from": "user",
"value": "Please answer the following question: What type of details about jimmy cleveland can be gathered from the following bio? Bio: jimmy cleveland -lrb- may 3 , 1926 -- august 23 , 2008 -rrb- was an american jazz trombonist born in wartrace , tennessee . cleveland worked with many w... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. A large sphere has a volume of $288\\pi$ cubic units. A smaller sphere has a volume which is $12.5\\%$ of the volume of the larger sphere. What is the ratio of the radius of the smaller sphere to the radius of the larger sphere? Expr... | A large sphere has a volume of $288\pi$ cubic units. A smaller sphere has a volume which is $12.5\%$ of the volume of the larger sphere. What is the ratio of the radius of the smaller sphere to the radius of the larger sphere? Express your answer as a common fraction. | null | null |
[
{
"from": "user",
"value": "If the solution set of the inequality \\\\(|x-2|+|x-3| < 3\\\\) is \\\\((a,b)\\\\), then \\\\( \\int_{a}^{b}(\\sqrt{x}-1)dx=\\\\) \nA: \\\\( \\dfrac{7}{3}\\\\) \nB: \\\\( \\dfrac{10}{3}\\\\) \nC: \\\\( \\dfrac{5}{3}\\\\) \nD: \\\\(3\\\\)"
},
{
"from": "assistant",
... | If the solution set of the inequality \\(|x-2|+|x-3| < 3\\) is \\((a,b)\\), then \\( \int_{a}^{b}(\sqrt{x}-1)dx=\\)
A: \\( \dfrac{7}{3}\\)
B: \\( \dfrac{10}{3}\\)
C: \\( \dfrac{5}{3}\\)
D: \\(3\\) | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. For $i = 1, 2, \\cdots, n$, if $\\left|x_{i}\\right| < 1$ and $\\left|x_{1}\\right| + \\left|x_{2}\\right| + \\cdots + \\left|x_{n}\\right| = 2005 + \\left|x_{1} + x_{2} + \\cdots + x_{n} \\right|$, find the minimum value of the positi... | For $i = 1, 2, \cdots, n$, if $\left|x_{i}\right| < 1$ and $\left|x_{1}\right| + \left|x_{2}\right| + \cdots + \left|x_{n}\right| = 2005 + \left|x_{1} + x_{2} + \cdots + x_{n} \right|$, find the minimum value of the positive integer $n$. | null | null |
[
{
"from": "user",
"value": "Exercise 11. For all integers $n \\geqslant 0$, we define\n\n$$\nU_{n}=\\frac{2 n+1-2 \\sqrt{n(n+1)}}{\\sqrt{n+1}-\\sqrt{n}}\n$$\n\nCalculate $\\left(\\mathrm{U}_{0}+\\cdots+\\mathrm{U}_{41}\\right)^{2}$."
},
{
"from": "assistant",
"value": "<think>\nOkay, let's try t... | Exercise 11. For all integers $n \geqslant 0$, we define
$$
U_{n}=\frac{2 n+1-2 \sqrt{n(n+1)}}{\sqrt{n+1}-\sqrt{n}}
$$
Calculate $\left(\mathrm{U}_{0}+\cdots+\mathrm{U}_{41}\right)^{2}$. | null | null |
[
{
"from": "user",
"value": "6. The function $f(x)$ is defined on $\\mathbf{R}$ as an odd function, and $f(2)$ $=0$. For any $x \\in \\mathbf{R}$, it holds that $f(x+4)=f(x)+f(2)$. Then $f(1998)=(\\quad)$.\n(A) 3996\n(B) 1998\n(C) 1997\n(D) 0"
},
{
"from": "assistant",
"value": "<think>Okay, so l... | 6. The function $f(x)$ is defined on $\mathbf{R}$ as an odd function, and $f(2)$ $=0$. For any $x \in \mathbf{R}$, it holds that $f(x+4)=f(x)+f(2)$. Then $f(1998)=(\quad)$.
(A) 3996
(B) 1998
(C) 1997
(D) 0 | null | null |
[
{
"from": "user",
"value": "Given the function $f\\left(x\\right)=ax^{2}-2ax-3$. \n$(1)$ If $a=1$, find the solution set of the inequality $f\\left(x\\right)\\geqslant 0$; \n$(2)$ Given $a \\gt 0$, and $f\\left(x\\right)\\geqslant 0$ holds for all $x \\in \\left[3,+\\infty \\right)$, find the range of val... | Given the function $f\left(x\right)=ax^{2}-2ax-3$.
$(1)$ If $a=1$, find the solution set of the inequality $f\left(x\right)\geqslant 0$;
$(2)$ Given $a \gt 0$, and $f\left(x\right)\geqslant 0$ holds for all $x \in \left[3,+\infty \right)$, find the range of values for $a$;
$(3)$ If the equation $f\left(x\right)=0... | null | null |
[
{
"from": "user",
"value": "32. Let $A$ be an angle such that $\\tan 8 A=\\frac{\\cos A-\\sin A}{\\cos A+\\sin A}$. Suppose $A=x^{\\circ}$ for some positive real number $x$. Find the smallest possible value of $x$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to solve this equat... | 32. Let $A$ be an angle such that $\tan 8 A=\frac{\cos A-\sin A}{\cos A+\sin A}$. Suppose $A=x^{\circ}$ for some positive real number $x$. Find the smallest possible value of $x$. | null | null |
[
{
"from": "user",
"value": "You are tasked with creating a new subclass of a base register class in a UVM (Universal Verification Methodology) environment. The new subclass should implement the following functionalities:\n- A method to retrieve all the fields associated with the register\n- A method to calc... | null | glaive | null |
[
{
"from": "user",
"value": "Birds do what by laying eggs? Choose the most suitable option to answer the above question. Options： A. air B. pick berries C. sky D. breathe E. reproduce\nAnswer:"
},
{
"from": "assistant",
"value": "The correct answer is:\n\n**E. reproduce**\n\nExplanation: Lay... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. $AB$ and $AC$ are tangents to a circle, $\\angle BAC = 60^{\\circ}$, the length of the broken line $BAC$ is 1. Find the distance between the points of tangency $B$ and $C$."
},
{
"from": "assistant",
"value": "<think>\nOkay... | $AB$ and $AC$ are tangents to a circle, $\angle BAC = 60^{\circ}$, the length of the broken line $BAC$ is 1. Find the distance between the points of tangency $B$ and $C$. | null | null |
[
{
"from": "user",
"value": "7. In one school library, there are 24850 books, and in another - 55300. When these books were being arranged on shelves equally, 154 books were left in the first library, and 175 in the other. How many books were placed on each shelf?"
},
{
"from": "assistant",
"valu... | 7. In one school library, there are 24850 books, and in another - 55300. When these books were being arranged on shelves equally, 154 books were left in the first library, and 175 in the other. How many books were placed on each shelf? | null | null |
[
{
"from": "user",
"value": "How can I create a Python function that concatenates two strings with a space in between?"
},
{
"from": "assistant",
"value": "**Concatenating Strings with a Space in Python**\n====================================================\n\nHere is a simple Python function th... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Four congruent circles are tangent to each other and to the sides of a triangle as shown.\n\n(a) Prove that \\(\\angle ABC = 90^\\circ\\).\n\n(b) If \\(AB = 3\\) and \\(BC = 4\\), find the radius of the circles."
},
{
"from": "... | Four congruent circles are tangent to each other and to the sides of a triangle as shown.
(a) Prove that \(\angle ABC = 90^\circ\).
(b) If \(AB = 3\) and \(BC = 4\), find the radius of the circles. | null | null |
[
{
"from": "user",
"value": "Create a complete program that, when executed, identifies and outputs the name of the file from which it originates, including the file extension. Note that REPL environments are prohibited for this task, and the solution must be compatible with any execution environment that you... | null | evolcodegolf | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let \\( P \\) be a polynomial of degree 4 with \\( P(0)=1, P(1)=1, P(2)=4, P(3)=9, P(4)=16 \\). Calculate \\( P(-2) \\)."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem here where I need to find t... | Let \( P \) be a polynomial of degree 4 with \( P(0)=1, P(1)=1, P(2)=4, P(3)=9, P(4)=16 \). Calculate \( P(-2) \). | null | null |
[
{
"from": "user",
"value": "Given that $f(x)$ is a monotonically increasing function defined on $(0, +\\infty)$ and satisfies $f(xy) = f(x) + f(y)$, with $f(3) = 1$. Find the range of $x$ for which $f(x) + f(x-8) \\leq 2$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this proble... | Given that $f(x)$ is a monotonically increasing function defined on $(0, +\infty)$ and satisfies $f(xy) = f(x) + f(y)$, with $f(3) = 1$. Find the range of $x$ for which $f(x) + f(x-8) \leq 2$. | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. There are 100 piles with 400 stones in each. On each turn, Petya selects two piles, removes one stone from each pile, and gets as many points as the absolute difference in the number of stones in these two piles. Petya must remove all ... | There are 100 piles with 400 stones in each. On each turn, Petya selects two piles, removes one stone from each pile, and gets as many points as the absolute difference in the number of stones in these two piles. Petya must remove all the stones. What is the maximum total number of points he can get? | null | null |
[
{
"from": "user",
"value": "You are Roy Mustang from Fullmetal Alchemist. Describe how you plan to change the country once you become its leader."
},
{
"from": "assistant",
"value": "(With a confident, calculated tone, I lean back in my chair, steepling my fingers together) Ah, the day I become ... | null | null | null |
[
{
"from": "user",
"value": "Given the hyperbola $\\dfrac{x^2}{a^2} - \\dfrac{y^2}{b^2} = 1$ ($a > 0, b > 0$) has one of its asymptotes as $y = -2x$, the eccentricity of this hyperbola is ( ).\nA: $\\dfrac{\\sqrt{5}}{2}$\nB: $\\sqrt{3}$\nC: $\\sqrt{5}$\nD: $2\\sqrt{3}$"
},
{
"from": "assistant",
... | Given the hyperbola $\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1$ ($a > 0, b > 0$) has one of its asymptotes as $y = -2x$, the eccentricity of this hyperbola is ( ).
A: $\dfrac{\sqrt{5}}{2}$
B: $\sqrt{3}$
C: $\sqrt{5}$
D: $2\sqrt{3}$ | null | null |
[
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given two integer sequences S and T of length N and M, respectively, both consisting of inte... | Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given two integer sequences S and T of length N and M, respectively, both consisting of integers between 1 and 10^5 (inclusive).
In... | null | null |
[
{
"from": "user",
"value": "On February 29, 2012, Microsoft released Windows 8 Consumer Preview, the beta version of Windows 8, build 8250. Alongside other changes, the build removed the Start button from the taskbar for the first time since its debut on Windows 95; according to Windows manager Chaitanya Sa... | null | null | null |
[
{
"from": "user",
"value": "Lizzy: Wade is the star player of the basketball team. His average points per game is 20, and his teammates' average points per game is 40. How many points will their team have in total after 5 games?.\nMe: Hmmm, let me think. I think this is the detailed solution:"
},
{
... | null | null | null |
[
{
"from": "user",
"value": "If $U=\\{1,2,3,4,5\\}$, $M=\\{1,2,3\\}$, $N=\\{2,3,5\\}$, then $(C_{U}M) \\cap N$ equals ( )\n\nA: $\\emptyset$\n\nB: $\\{1,3\\}$\n\nC: $\\{4\\}$\n\nD: $\\{5\\}$"
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see here. The problem is about set theory. We ha... | If $U=\{1,2,3,4,5\}$, $M=\{1,2,3\}$, $N=\{2,3,5\}$, then $(C_{U}M) \cap N$ equals ( )
A: $\emptyset$
B: $\{1,3\}$
C: $\{4\}$
D: $\{5\}$ | null | null |
[
{
"from": "user",
"value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Freakin' news has recently claimed that they have discovered a civilization on mars and that they ha... | 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.Freakin' news has recently claimed that they have discovered a civilization on mars and that they have established contact with the martians... | null | null |
[
{
"from": "user",
"value": "You are working on a project that involves cross-compiling a C program for an ARM architecture using the arm-linux-gnueabi-gcc compiler. Your task is to write a script that automates the cross-compilation process for a specific C file.\n\nWrite a shell script named `cross_compile... | null | magicoder | null |
[
{
"from": "user",
"value": "31. As shown in the figure, in parallelogram $A B C D$, point $P$ is a point inside $\\triangle B A D$. If the area of $\\triangle P A B$ is 2, and the area of $\\triangle P C B$ is 5, then the area of $\\triangle P B D$ is $\\qquad$."
},
{
"from": "assistant",
"value... | 31. As shown in the figure, in parallelogram $A B C D$, point $P$ is a point inside $\triangle B A D$. If the area of $\triangle P A B$ is 2, and the area of $\triangle P C B$ is 5, then the area of $\triangle P B D$ is $\qquad$. | null | null |
[
{
"from": "user",
"value": "Summarize this article in one sentence.\nCut it in half, loosen the segments, and eat it straight out of the peel with a spoon. When you cut the ugli fruit open, the inside should look similar to that of an orange, but the fruit should appear slightly fleshier than an orange wou... | null | null | null |
[
{
"from": "user",
"value": "Task \nGiven two integers \\$d\\$ and \\$n\\$, ascertain the total number of distinct ways to articulate \\$n\\$ as a sum of \\$d\\$ squared integers. Specifically, express this as \\$n = r_1^2 + r_2^2 + ... + r_d^2\\$, where each \\$r_m\\$ is a whole number for all integers \\$... | null | evolcodegolf | null |
[
{
"from": "user",
"value": "Given that the error made when measuring the body length of a butterfly is normally distributed with mean 0 and standard deviation 1 mm, what is the probability that the absolute value of the error is less than 0.4 mm? Please calculate the answer to three decimal places."
},
... | null | null | null |
[
{
"from": "user",
"value": "Let $P$: $2 < x < 4$, $Q$: $\\ln x < e$. Then $P$ is a(n) ______ condition for $Q$ to hold.\nA: Sufficient but not necessary\nB: Necessary but not sufficient\nC: Necessary and sufficient\nD: Neither sufficient nor necessary"
},
{
"from": "assistant",
"value": "<think>... | Let $P$: $2 < x < 4$, $Q$: $\ln x < e$. Then $P$ is a(n) ______ condition for $Q$ to hold.
A: Sufficient but not necessary
B: Necessary but not sufficient
C: Necessary and sufficient
D: Neither sufficient nor necessary | null | null |
[
{
"from": "user",
"value": "Given that the acute angle $α$ satisfies $\\cos(α+ \\frac {π}{6})= \\frac {1}{5}$, find the value of $\\sinα$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem here where I need to find the value of sinα, given that the acute angle α satisfie... | Given that the acute angle $α$ satisfies $\cos(α+ \frac {π}{6})= \frac {1}{5}$, find the value of $\sinα$. | null | null |
[
{
"from": "user",
"value": "9.1 $\\quad A_{x}^{2} C_{x}^{x-1}=48$.\n\nTranslate the above text into English, keeping the original text's line breaks and format, and output the translation result directly.\n\n9.1 $\\quad A_{x}^{2} C_{x}^{x-1}=48$."
},
{
"from": "assistant",
"value": "<think>\nOka... | 9.1 $\quad A_{x}^{2} C_{x}^{x-1}=48$.
Translate the above text into English, keeping the original text's line breaks and format, and output the translation result directly.
9.1 $\quad A_{x}^{2} C_{x}^{x-1}=48$. | null | null |
[
{
"from": "user",
"value": "Is there a way to generate a random password in Python that consists of 10 characters, including both lower and uppercase alphabets, numeric digits, and one symbol?"
},
{
"from": "assistant",
"value": "<think>\nOkay, the user is asking if they can generate a random pa... | null | null | null |
[
{
"from": "user",
"value": "A man can row upstream at 10 kmph and downstream at a certain speed. The speed of the man in still water is 15 kmph. What is the speed of the man rowing downstream?"
},
{
"from": "assistant",
"value": "<think>\nFirst, I understand that the man's rowing speed in still ... | null | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. A large number of rocks are placed on a table. On each turn, one may remove some rocks from the table following these rules: on the first turn, only one rock may be removed, and on every subsequent turn, one may remove either twice as ... | A large number of rocks are placed on a table. On each turn, one may remove some rocks from the table following these rules: on the first turn, only one rock may be removed, and on every subsequent turn, one may remove either twice as many rocks or the same number of rocks as they have discarded on the previous turn. D... | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given four numbers \\(a, b, c, d\\). Each pair of these numbers is summed, resulting in 6 sums: \\(a+b, b+c, c+d, a+c, b+d, a+d\\). The four smallest of these sums are \\(7, 15, 43, 47\\). Find the sum of the original four numbers \\(a... | Given four numbers \(a, b, c, d\). Each pair of these numbers is summed, resulting in 6 sums: \(a+b, b+c, c+d, a+c, b+d, a+d\). The four smallest of these sums are \(7, 15, 43, 47\). Find the sum of the original four numbers \(a+b+c+d\). If the answer is not an integer, write it as a decimal fraction. | null | null |
[
{
"from": "user",
"value": "Given that $O$ is the origin, there exists a point $P(x_{0},y_{0})$ ($x_{0} \\in (0,e-1)$) on the curve $f(x)=a\\ln (x+1)-x-b$, satisfying: \n1. The line $OP$ is the tangent line of the curve $f(x)$;\n2. The line $OP$ is perpendicular to a tangent line $l$ of the curve $g(x)=e^{x... | Given that $O$ is the origin, there exists a point $P(x_{0},y_{0})$ ($x_{0} \in (0,e-1)$) on the curve $f(x)=a\ln (x+1)-x-b$, satisfying:
1. The line $OP$ is the tangent line of the curve $f(x)$;
2. The line $OP$ is perpendicular to a tangent line $l$ of the curve $g(x)=e^{x}$ passing through the origin.
The range of... | null | null |
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. A school’s innovative experimental class has 30 students, and it is known that every student in this class has the same number of friends within the class (friendship is mutual). In an exam, any two students' scores are different. A st... | A school’s innovative experimental class has 30 students, and it is known that every student in this class has the same number of friends within the class (friendship is mutual). In an exam, any two students' scores are different. A student is called a "good student" if more than half of their friends have scores lower... | null | null |
[
{
"from": "user",
"value": "(2) If the graph of $y=f(x)$ passes through the point $(1,-1)$, then the graph of $y=f^{-1}(x-1)$ must pass through the point"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to figure out this problem where the graph of y = f(x) passes through the point ... | (2) If the graph of $y=f(x)$ passes through the point $(1,-1)$, then the graph of $y=f^{-1}(x-1)$ must pass through the point | null | null |
[
{
"from": "user",
"value": "Can you help me create a vectorized version of this code using numpy?"
},
{
"from": "assistant",
"value": "I'd be happy to help you create a vectorized version of your code using NumPy. However, I don't see any code provided in your request. Please share the code snip... | null | null | null |
[
{
"from": "user",
"value": "QNX Software Systems Ltd., a leading provider of real-time software and services to the embedded computing market, is pleased to announce the appointment of Mr. Sachin Lawande to the position of vice president, engineering services.\nDoes this next sentence follow, given the prec... | null | null | null |
[
{
"from": "user",
"value": "Given that $l$, $m$, $n$ are three different lines, and $\\alpha$, $\\beta$ are two different planes, which of the following propositions is true?\n\nA: If $l \\perp m$, $l \\perp n$, $m \\subset \\alpha$, $n \\subset \\alpha$, then $l \\perp \\alpha$\n\nB: If $l \\perp \\alpha$,... | Given that $l$, $m$, $n$ are three different lines, and $\alpha$, $\beta$ are two different planes, which of the following propositions is true?
A: If $l \perp m$, $l \perp n$, $m \subset \alpha$, $n \subset \alpha$, then $l \perp \alpha$
B: If $l \perp \alpha$, $\alpha \parallel \beta$, $m \subset \beta$, then $l \p... | null | null |
[
{
"from": "user",
"value": "An arithmetic progression, commonly referred to as an A.P., is a sequence in which each term, starting from the second, is equal to the sum of the previous term and a fixed value \\( r \\) called the common difference or the ratio of the progression. For example, the sequence bel... | An arithmetic progression, commonly referred to as an A.P., is a sequence in which each term, starting from the second, is equal to the sum of the previous term and a fixed value \( r \) called the common difference or the ratio of the progression. For example, the sequence below is an arithmetic progression with the f... | null | null |
[
{
"from": "user",
"value": "Consider the algebraic surface given by the equation $x^2 + y^2 + z^2 = 4$. Find the equation of the tangent plane to this surface at the point $(1,1,\\sqrt{2})$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the equation of the tangent plane t... | null | tiger_lab_math | 35,905 |
[
{
"from": "user",
"value": "Aubriella is pouring water into a fish tank at the rate of 1 gallon every 20 seconds. She poured water into the fish tank for 6 minutes. She needs to pour 32 more gallons to fill the tank. What is the capacity of the fish tank in gallons?"
},
{
"from": "assistant",
"v... | null | null | null |
[
{
"from": "user",
"value": "Calculate: \n(1) $(2 \\frac {1}{4})^{ \\frac {1}{2}}-(-9.6)^0-(3 \\frac {3}{8})^{- \\frac {2}{3}}+(1.5)^{-2}$; \n(2) $\\lg5+\\lg2\\cdot\\lg5+(\\lg2)^2+e^{\\ln3}$."
},
{
"from": "assistant",
"value": "<think>\nOkay, let's tackle these two problems one by one. I need ... | Calculate:
(1) $(2 \frac {1}{4})^{ \frac {1}{2}}-(-9.6)^0-(3 \frac {3}{8})^{- \frac {2}{3}}+(1.5)^{-2}$;
(2) $\lg5+\lg2\cdot\lg5+(\lg2)^2+e^{\ln3}$. | null | null |
[
{
"from": "user",
"value": "You are tasked with creating a Python script that will read a CSV file and perform data analysis on the contents. The CSV file contains information about sales transactions, with columns for date, customer name, product name, quantity, and sales amount. Your script should be able... | null | glaive | null |
[
{
"from": "user",
"value": "If $(x^2+1)(2x+1)^9 = a + a_1(x+2) + a_2(x+2)^2 + \\ldots + a_{11}(x+2)^{11}$, then the value of $a + a_1 + \\ldots + a_{11}$ is."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem here: If (x² + 1)(2x + 1)^9 is expressed as a polynomial in ter... | If $(x^2+1)(2x+1)^9 = a + a_1(x+2) + a_2(x+2)^2 + \ldots + a_{11}(x+2)^{11}$, then the value of $a + a_1 + \ldots + a_{11}$ is. | null | null |
[
{
"from": "user",
"value": "Two cars, $A$ and $B$, start from one city to another. In the first 5 minutes, they travel the same distance. At this point, due to a mechanical issue, $B$ has to reduce its speed to 2/5 of its original speed, and as a result, it arrives 15 minutes after the steadily traveling $A... | Two cars, $A$ and $B$, start from one city to another. In the first 5 minutes, they travel the same distance. At this point, due to a mechanical issue, $B$ has to reduce its speed to 2/5 of its original speed, and as a result, it arrives 15 minutes after the steadily traveling $A$. If the malfunction had occurred 4 km ... | null | null |
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