formatted_instruction stringlengths 364 14.6k |
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### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
С удовольствием. Вот ваш исходный код с экранированными конструкциями Markdown.
А после блока кода для проверки приведён его вид после интерпретации Markdown.
````
\# Youtube-dl We... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
We know the polynomial $P$ has degree $2007$. We also know that $P(r_j + 1/r_j) = 0$ for each $j = 1, \ldots, 2007$. So $P(x)$ is divisible by $(x - r_j - 1/r_j)$ for each $j = 1, \... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
In Crate A, we have 20 rows of 10 pipes packed directly on top of each other. So the height of the packing is 20 times the diameter of a single pipe, or 200 cm. In Crate B, draw a ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Mox Bank, a virtual-only lender in Hong Kong, has said that the pandemic has created a new generation of virtual-savvy customers, and the crisis has opened up many new opportunities... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
As usual, we start by graphing these lines. An easy way to go about it is to plot some points. Let's plug in $t =0$ and $t = 1$ for line $l$, getting the points $(1, 4)$ and $(5, 7)... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
The graphs of $f(x),g(x),h(x)$ are all lines, and we have a segment of each, so we can extend these segments to form the superimposed graphs of $f(x),$ $g(x),$ and $h(x)$ on one set... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
1. Ensalada de tomate, cebolla y huevo: tomate, cebolla y huevo cocidos, con sal y aceite.
2. Pechugas de pollo con ají y queso cremoso: pechugas de pollo horneadas con ají y queso ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Join the centres $A,$ $B,$ and $C$ of the three circles. The lines $AB,$ $BC,$ and $CA$ will pass through the points where the circles touch, so will each have length $10\text{ cm}$... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
We first note that the given quadrilateral is a trapezoid, because $60^\circ+120^\circ=180^\circ,$ and so the top and bottom sides are parallel. We need to determine the total area ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Let $P = \left( \frac{x}{y} + \frac{y}{z} + \frac{z}{x} \right) \left( \frac{y}{x} + \frac{z}{y} + \frac{x}{z} \right).$ Then
\begin{align*}
2P &= \left( \frac{x}{y} + \frac{y}{z} ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
We start by drawing the frustum. Let the top and bottom circles have centers $O_1$ and $O_2$ respectively, and label points $A$ and $B$ on the circumferences as shown such that $O_... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
```cpp
#include <iostream>
#include <cassandra.h>
void print_error(CassFuture* future) {
const char* message;
size_t message_length;
cass_future_error_message(future, &messag... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
The Hungarian algorithm is a method for solving assignment problems. It is named after its inventor, George Dantzig, who published it in 1951. The algorithm is based on the idea of ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
By symmetry, we can focus on the octant where $x,$ $y,$ $z$ are all positive. In this octant, the condition $|x| + |y| = 1$ becomes $x + y = 1,$ which is the equation of a plane. ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
I'm sorry, I don't understand your intention. Are you trying to simulate a conversation between a chatbot and a human user?### Instruction:
Continue the interview from the introduc... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
To create a Python web application using Flask, you'll need to follow these steps:
1. Install the required packages
2. Set up the SQLite database and models
3. Create the authentic... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Place the pyramid on a coordinate system with $A$ at $(0,0,0)$, $B$ at $(4,0,0)$, $C$ at $(4,4,0)$, $D$ at $(0,4,0)$ and with $E$ at $(2,2,2\sqrt{2})$. Let $R$, $S$, and $T$ be the ... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
I think we can start by completing the square to put the equation of the circle into standard form. So we want to rewrite $x^2 + y^2 - 12x + 31 = 0$ as $(x-a)^2 + (y-b)^2 = r^2$. To... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
To create a simple blog application using Flask, we'll first need to install the required packages. You can do this by running:
```bash
pip install flask flask-sqlalchemy flask-log... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
We can superimpose the graph of $y=x$ on the graph of $y=f(x)$: [asy]
size(150);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=bla... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Let the triangle be $ABC,$ where $AB = 7,$ $BC = 8,$ and $AC = 9.$ Let the two lines be $PQ$ and $RS,$ as shown below.
[asy]
unitsize(0.6 cm);
pair A, B, C, P, Q, R, S, X;
B = (... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
We can compute that the side length of the hexagon is $\frac{1}{\sqrt{3}}.$ Then one side of the hexagon is parameterized by
\[\frac{1}{2} + ti,\]where $-\frac{1}{2 \sqrt{3}} \le t... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
We note that $$q(x) = -|x| = \begin{cases}x &\text{if }x\le 0\\-x &\text{if }x>0\end{cases}.$$Therefore, $$q(p(x)) = -|p(x)| = \begin{cases}p(x) &\text{if }p(x)\le 0\\-p(x) &\text{i... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Sure, I can give you a sample code for the web application you described. Please note that this is just a sample code and you would need to make some modifications based on your spe... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
To create a personal finance manager web application using Python Flask, follow these steps:
1. Install the required packages
First, you need to install the necessary packages for... |
### Instruction:
Use the Input below to create an instruction, which could have been used to generate the input using an LLM.
### Input:
Title: The Last Expedition
The barren wasteland of the planet Niv was once home to a thriving civilization, but now it lay desolate, forgotten and abandoned. The last expedition to... |
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