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smoltalk_ds_0 | Write a Python function `get_week_of_year(obj)` that takes a dictionary `obj` as input and returns the week of year of the `date` attribute, assuming `date` is a string in `YYYY-MM-DD` format. | ```python
import datetime
def get_week_of_year(obj):
date_str = obj.get("date")
date_obj = datetime.datetime.strptime(date_str, "%Y-%m-%d")
week_of_year = date_obj.isocalendar()[1]
return week_of_year
```
The `get_week_of_year` function takes a dictionary `obj` as input and returns the week of year. I... | [
{
"from": "human",
"value": "Write a Python function `get_week_of_year(obj)` that takes a dictionary `obj` as input and returns the week of year of the `date` attribute, assuming `date` is a string in `YYYY-MM-DD` format."
},
{
"from": "gpt",
"value": "```python\nimport datetime\n\ndef get_week_... | self-oss-instruct | excellent | The user query is clear, specific, and well-formed. It provides sufficient context for understanding the user's intent, including the function name, input type, and expected output. The query also specifies the format of the date string, which is essential for accurate processing. | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [] | EN | Single-Turn | 1.566406 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_1 | Is
\[ g(x) = \frac{1}{3^x + 2} + \frac{3}{4} \]
an even function, odd function, or neither?
Enter "odd", "even", or "neither". | To determine if \( g(x) \) is even, odd, or neither, we need to examine \( g(-x) \) and compare it with \( g(x) \) and \(-g(x) \).
First, compute \( g(-x) \):
\[
g(-x) = \frac{1}{3^{-x} + 2} + \frac{3}{4} = \frac{1}{\frac{1}{3^x} + 2} + \frac{3}{4} = \frac{3^x}{3^x + 2} + \frac{3}{4}.
\]
Now compare \( g(-x) \) with \... | [
{
"from": "human",
"value": "Is\n\\[ g(x) = \\frac{1}{3^x + 2} + \\frac{3}{4} \\]\nan even function, odd function, or neither?\n\nEnter \"odd\", \"even\", or \"neither\"."
},
{
"from": "gpt",
"value": "To determine if \\( g(x) \\) is even, odd, or neither, we need to examine \\( g(-x) \\) and co... | numina-cot-100k | excellent | The user query is very clear and specific, providing a mathematical function and asking whether it is even, odd, or neither. The query is well-formed, contains all necessary information, and context for understanding the user's intent. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | -1.344727 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_2 | If function $f(x)$ is increasing on some interval $I$ within its domain $D$, and $y=\frac{f(x)}{x}$ is decreasing on $I$, then $y=f(x)$ is called a "weakly increasing function" on $I$.
(1) Please judge whether $f(x)=x+4$ and $g(x)=x^2+4x+2$ are "weakly increasing functions" on the interval $x \in (1, 2)$ and briefly ex... | (1) Since $f(x)=x+4$ is increasing on (1, 2), and $$F(x)=\frac{f(x)}{x}=\frac{x+4}{x}=1+ \frac{4}{x}$$ is decreasing on (1, 2) (since $\frac{4}{x}$ is decreasing), $f(x)=x+4$ is a "weakly increasing function" on (1, 2);
$g(x)=x^2+4x+2$ is increasing on (1, 2), but $$\frac{g(x)}{x}=\frac{x^2+4x+2}{x}=x+4+\frac{2}{x}$$ i... | [
{
"from": "human",
"value": "If function $f(x)$ is increasing on some interval $I$ within its domain $D$, and $y=\\frac{f(x)}{x}$ is decreasing on $I$, then $y=f(x)$ is called a \"weakly increasing function\" on $I$.\n(1) Please judge whether $f(x)=x+4$ and $g(x)=x^2+4x+2$ are \"weakly increasing functions\... | numina-cot-100k | excellent | The user query is clear, well-structured, and provides all necessary information and context. It includes specific definitions, functions, and intervals, making it easy to understand the user's intent. The query is divided into two parts, each with a distinct question, which helps in providing a focused response. The l... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | 1.366211 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_3 | A car travels 192 miles on X gallons of gas. How far can it travel on 8 gallons of gas?
If we know the answer to the above question is 256, what is the value of unknown variable X? | We are given that the car travels 192 miles on $X$ gallons of gas.
To find out how far it can travel on 8 gallons of gas, we can set up a proportion using the given information:
192 miles / $X$ gallons = 256 miles / 8 gallons
We can cross-multiply and solve for $X$:
192 * 8 = 256 * $X$
1536 = 256 * $X$
Dividing both si... | [
{
"from": "human",
"value": "A car travels 192 miles on X gallons of gas. How far can it travel on 8 gallons of gas?\nIf we know the answer to the above question is 256, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "We are given that the car travels 192 miles on $X$ gal... | metamathqa-50k | excellent | The user query is clear, specific, and well-articulated. It provides sufficient context for understanding the problem, including the distance traveled on an unknown amount of gas and the distance it can travel on a known amount of gas. The query also specifies the answer to the first part of the question, which is used... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | -0.450195 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_4 | Given the function $f(x)=|x-2|+|5-x|$, the minimum value of the function $f(x)$ is ( )
A. 7
B. 2
C. 5
D. 3 | First, we analyze the function $f(x)=|x-2|+|5-x|$ and determine its behavior in different segments defined by the points $x=2$ and $x=5$, where the expression inside the absolute values change sign.
For $x \leq 2$, the function simplifies to $f(x)=(2-x)+(5-x)=7-2x$.
For $2 < x < 5$, the function simplifies to $f(x)=(... | [
{
"from": "human",
"value": "Given the function $f(x)=|x-2|+|5-x|$, the minimum value of the function $f(x)$ is ( )\nA. 7\nB. 2\nC. 5\nD. 3"
},
{
"from": "gpt",
"value": "First, we analyze the function $f(x)=|x-2|+|5-x|$ and determine its behavior in different segments defined by the points $x=... | numina-cot-100k | excellent | The user query is clear and specific, providing a well-defined function f(x) and asking for the minimum value of the function. The query is well-formed and contains all the necessary information for providing a comprehensive response. The query also provides multiple-choice options, which can help in identifying the co... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | 2.220703 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_5 | Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padma's cards. How many cards were traded between both Padma and Robert? | Padma traded 2 of her valuable cards for 10 of Robert's cards, so a total of 2 + 10 = 12 cards were traded in this transaction.
Robert traded 8 of his cards for 15 of Padma's cards, so a total of 8 + 15 = 23 cards were traded in this transaction.
In total, between both Padma and Robert, 12 + 23 = 35 cards were traded.
... | [
{
"from": "human",
"value": "Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padma's cards. How many cards were traded between both Padma and Robert... | metamathqa-50k | excellent | The user query is clear, specific, and well-articulated. It provides all the necessary information and context for understanding the problem, including the initial number of cards each person has, the number of cards traded, and the terms of the trade. The query is also coherent and easy to follow, making it simple to ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Information seeking",
"Reasoning"
] | EN | Single-Turn | -0.160156 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_6 | Your response should contain at least 3 sentences. The response must contain exactly 3 bullet points. Use the markdown bullet points such as: * This is point 1. Your answer must contain a title, wrapped in double angular brackets, such as <<Understanding the Basics>>. Include keywords [keywords] in the response. In you... | <<Understanding the Basics>>
* This tutorial is designed to help you grasp the basics of any new concept or skill.
* By following this tutorial, you will be able to enhance your learning and build a solid foundation.
* Each section of the tutorial will cover key points and provide practical examples to ensure a compre... | [
{
"from": "human",
"value": "Your response should contain at least 3 sentences. The response must contain exactly 3 bullet points. Use the markdown bullet points such as: * This is point 1. Your answer must contain a title, wrapped in double angular brackets, such as <<Understanding the Basics>>. Include ke... | smol-constraints | good | The user query is clear and well-structured, providing specific instructions on the format and content of the response. It includes a title, bullet points, and keywords, demonstrating a good understanding of what is required. However, the query is somewhat self-referential, as it asks for an assessment of its own quali... | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Advice seeking",
"Brainstorming"
] | EN | Single-Turn | -2.226563 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_7 | Right triangle $ABC$ has one leg of length 9 cm, another leg of length 12 cm, and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm? Express your answer as a common fraction. | Let $s$ be the length of the side of the square. Let $D$ be the vertex of the square on side $AC$, and $E$ be the vertex of the square on side $AB$. Let $x$ be the length of segment $AD$ on side $AC$.
The triangle legs are 9 cm and 12 cm, and by the Pythagorean theorem:
\[ AC^2 = AB^2 + BC^2 = 9^2 + 12^2 = 81 + 144 = ... | [
{
"from": "human",
"value": "Right triangle $ABC$ has one leg of length 9 cm, another leg of length 12 cm, and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm? Express ... | numina-cot-100k | excellent | The query is very clear, specific, and well-articulated. It provides all the necessary information and context for understanding the problem, including the lengths of the legs of the right triangle and the relationship between the triangle and the square. The query also specifies that the answer should be expressed as ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Problem solving"
] | EN | Single-Turn | -1.625977 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_8 | What is the measure, in degrees, of the angle formed by the minute hand and the hour hand on a standard clock when it indicates $3$:$15$? | When it is $3$:$15$:
- The hour hand moves at $0.5$ degrees per minute (since $360$ degrees is divided by $12$ hours, then again by $60$ minutes per hour). At $3$:$15$, the hour hand has moved $15$ minutes from the 3 o'clock position: $15$ minutes x $0.5$ degrees/minute = $7.5$ degrees past the 3 o'clock position.
- Th... | [
{
"from": "human",
"value": "What is the measure, in degrees, of the angle formed by the minute hand and the hour hand on a standard clock when it indicates $3$:$15$?"
},
{
"from": "gpt",
"value": "When it is $3$:$15$:\n- The hour hand moves at $0.5$ degrees per minute (since $360$ degrees is di... | numina-cot-100k | excellent | The user query is very clear, specific, and well-articulated. It provides all the necessary information and context for understanding the problem, including the time on the clock and what is being asked. The query is concise and directly states the question, making it easy to comprehend and provide a response. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | -2.912109 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_9 | Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36-meter head start. If Cristina runs at a pace of 6 meters per second, and it takes 12 seconds for Cristina to catch up to him, how fast is Nicky running in meters per second? | To find out how fast Nicky is running, we first need to determine how far Cristina ran in the 12 seconds it took her to catch up to Nicky.
Cristina's speed is 6 meters per second, so in 12 seconds, she would have run:
6 meters/second * 12 seconds = 72 meters
Since Cristina caught up to Nicky, she covered the 36-meter... | [
{
"from": "human",
"value": "Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36-meter head start. If Cristina runs at a pace of 6 meters per second, and it takes 12 seconds for Cristina to catch up to him, how fast is Nicky running in meters per second?"
},
{
... | numina-cot-100k | excellent | The query is very clear, specific, and well-articulated. It provides all the necessary information, including the head start distance, Cristina's speed, and the time it takes for Cristina to catch up to Nicky. The query also contains a clear question about Nicky's running speed, making it easy to understand the user's ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | 2.460938 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_10 | Starting with the 2 in the center, the number 2005 can be formed by moving from circle to circle only if the two circles are touching. How many different paths can be followed to form 2005?
(A) 36
(B) 24
(C) 12
(D) 18
(E) 6 |
1. **Identify the initial position and potential first moves:**
- The starting number is 2 in the center circle.
- From the center, there are 6 surrounding circles with the number 0.
- Hence, there are 6 possible moves from 2 to 0.
\[
\text{Number of ways to move from 2 to the first 0} = 6
\]
2. *... | [
{
"from": "human",
"value": "Starting with the 2 in the center, the number 2005 can be formed by moving from circle to circle only if the two circles are touching. How many different paths can be followed to form 2005?\n(A) 36\n(B) 24\n(C) 12\n(D) 18\n(E) 6"
},
{
"from": "gpt",
"value": "\n1. **... | numina-cot-100k | good | The user query is clear and well-structured, providing a specific problem to be solved. It includes all necessary information, such as the starting point and the rules for moving between circles. However, it lacks context about the arrangement of the circles and how the number 2005 is formed by moving from one circle t... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | -1.171875 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_11 | Petya bought himself football shorts in the store.
- If he had bought the shorts with a T-shirt, the cost of the purchase would have been twice as much.
- If he had bought the shorts with boots, the cost of the purchase would have been five times as much.
- If he had bought the shorts with shin guards, the cost of the... |
1. Let the cost of the shorts be \( x \).
2. The cost of the shorts with a football shirt is given as twice the cost of the shorts:
\[
\text{Cost of shorts} + \text{Cost of shirt} = 2x
\]
Therefore, we can deduce that the cost of the shirt is also \( x \) since:
\[
x + \text{Cost of shirt} = 2... | [
{
"from": "human",
"value": "Petya bought himself football shorts in the store.\n\n- If he had bought the shorts with a T-shirt, the cost of the purchase would have been twice as much.\n- If he had bought the shorts with boots, the cost of the purchase would have been five times as much.\n- If he had bought... | numina-cot-100k | excellent | The user query is clear, specific, and well-articulated. It provides all the necessary information and context for understanding the problem and calculating the total cost of the purchase. The query includes specific details about the cost of different combinations of items and asks for a specific calculation, making i... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | -0.969727 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_12 | Carmen made three different sculptures from small pieces of wood. The first sculpture is 2 feet 10 inches tall, the second sculpture is 3 feet 5 inches tall, and the third sculpture is 4 feet 7 inches tall. Carmen places each sculpture on a separate base. The base for the first sculpture is 4 inches tall, the base for ... | To calculate the total combined height of all three sculptures and their respective bases, we need to add the height of each sculpture to the height of its base.
First, we need to convert the heights of the sculptures to inches because the bases are given in inches. There are 12 inches in a foot.
For the first sculp... | [
{
"from": "human",
"value": "Carmen made three different sculptures from small pieces of wood. The first sculpture is 2 feet 10 inches tall, the second sculpture is 3 feet 5 inches tall, and the third sculpture is 4 feet 7 inches tall. Carmen places each sculpture on a separate base. The base for the first ... | numina-cot-100k | excellent | The user query is very clear, specific, and well-articulated. It provides all the necessary information and context for calculating the total combined height of the sculptures and their bases, including the heights of each sculpture and their respective bases. The query is also coherent and easy to understand, making i... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Information seeking",
"Reasoning"
] | EN | Single-Turn | 0.320801 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_13 | I have a project that consists of a parent POM and three child projects. I need to execute the "assembly:assembly" goal only on one of the child POMs. I have already read this post on Stack Overflow (link provided) but I couldn't get it to work with the Maven assembly plugin. When I run the command "mvn -DskipTests=tru... | To skip the execution of the assembly plugin on the parent POM and execute it only on specific child POMs, you can configure the plugin in the aggregation `pom.xml` file. Use the following format in the `<build><plugins>` section:
```xml
<configuration>
<skip>true</skip>
</configuration>
```
By setting the `<skip>`... | [
{
"from": "human",
"value": "I have a project that consists of a parent POM and three child projects. I need to execute the \"assembly:assembly\" goal only on one of the child POMs. I have already read this post on Stack Overflow (link provided) but I couldn't get it to work with the Maven assembly plugin. ... | openhermes-100k | excellent | The user query is clear, specific, and well-articulated. It provides sufficient context for understanding the user's intent, including the project structure, the goal to be executed, and the error message encountered. The query also shows that the user has done prior research by reading a relevant post on Stack Overflo... | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Information seeking",
"Reasoning",
"Problem solving"
] | EN | Single-Turn | -5.011719 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_14 | Which of the given options best fits the missing word in this sentence: 'The project manager was instrumental in ensuring the team's _____.'? A) success, B) coffee, C) weather, D) trivia | A) success | [
{
"from": "human",
"value": "Which of the given options best fits the missing word in this sentence: 'The project manager was instrumental in ensuring the team's _____.'? A) success, B) coffee, C) weather, D) trivia"
},
{
"from": "gpt",
"value": "A) success"
}
] | openhermes-100k | excellent | The user query is clear, specific, and well-formed. It provides a sentence with a missing word and offers four options to choose from, making it easy to understand the context and the user's intent. The query is also concise and directly asks for the best fit for the missing word, which shows coherence and a clear goal... | meta-llama/Llama-3.3-70B-Instruct | Reasoning | [
"Information seeking"
] | EN | Single-Turn | -2.369141 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_15 | The first three terms of an arithmetic sequence are 1, 10 and X, respectively. The value of the 21st term is 181. What is the value of unknown variable X? | To solve this problem, we need to determine the value of x, which represents the third term of the arithmetic sequence.
We know that the first term is 1 and the second term is 10. Let's find the common difference between terms:
Common difference = second term - first term
Common difference = 10 - 1 = 9
Now, let's find ... | [
{
"from": "human",
"value": "The first three terms of an arithmetic sequence are 1, 10 and X, respectively. The value of the 21st term is 181. What is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the value of x, which represents the ... | metamathqa-50k | excellent | The user query is clear, specific, and well-articulated. It provides all the necessary information and context for solving the problem, including the first three terms of the arithmetic sequence and the value of the 21st term. The query is concise and directly asks for the value of the unknown variable X, making it eas... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | -3.007813 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_16 | Summarize this op-ed's argument in a few sentences:
The op-ed presents a case for reforming the American healthcare system, arguing that improvements in efficiency and affordability can be achieved while simultaneously increasing access for all citizens. It proposes a framework for achieving these goals with a mix of g... | This op-ed advocates for healthcare reform in the US, recommending a combination of public and private measures to enhance both affordability and accessibility while improving overall efficiency. | [
{
"from": "human",
"value": "Summarize this op-ed's argument in a few sentences:\nThe op-ed presents a case for reforming the American healthcare system, arguing that improvements in efficiency and affordability can be achieved while simultaneously increasing access for all citizens. It proposes a framework... | explore-instruct-rewriting | good | The user query is clear and specific, as it directly asks for a summary of the op-ed's argument and provides the necessary context. The query is well-formed and concise, making it easy to understand the user's intent. However, it could be improved by providing more details about the op-ed, such as its title or author, ... | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Reasoning"
] | EN | Single-Turn | -0.401611 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_17 | Given that $f(x)$ is an even function and $f(x)=\ln(-x)+3x$ when $x < 0$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(1,-3)$. | Since $f(x)$ is an even function, we have $f(-x)=f(x)$.
When $x < 0$, $f(x)=\ln(-x)+3x$ is given. For $x > 0$ by the property of even functions, we have $f(x)=\ln x - 3x$. This is because if $f(x)$ is even and $f(x)=\ln(-x)+3x$ for $x < 0$, then $f(-x)=\ln(-(-x))+3(-x) = \ln(x)-3x$ for $-x > 0$, which implies that $f(... | [
{
"from": "human",
"value": "Given that $f(x)$ is an even function and $f(x)=\\ln(-x)+3x$ when $x < 0$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(1,-3)$."
},
{
"from": "gpt",
"value": "Since $f(x)$ is an even function, we have $f(-x)=f(x)$.\n\nWhen $x < 0$, $f(x)... | numina-cot-100k | excellent | The user query is clear, specific, and well-articulated. It provides sufficient context for understanding the user's intent, including the definition of the function f(x) for x < 0 and the point at which the tangent line is to be found. The query also specifies that f(x) is an even function, which is crucial for determ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | -0.447754 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_18 | What is the result when multiplying 0.\overline{6} by 6? | Let $x = 0.\overline{6}$. Multiplying both sides by 10 gives $10x = 6.\overline{6}$.
Subtracting the original equation $x = 0.\overline{6}$ from $10x = 6.\overline{6}$ gives $9x = 6$.
Dividing both sides by 9 gives $x = \frac{6}{9} = \frac{2}{3}$.
Therefore, $0.\overline{6} = \frac{2}{3}$.
To multiply $\frac{2}{3}$ by ... | [
{
"from": "human",
"value": "What is the result when multiplying 0.\\overline{6} by 6?"
},
{
"from": "gpt",
"value": "Let $x = 0.\\overline{6}$. Multiplying both sides by 10 gives $10x = 6.\\overline{6}$.\nSubtracting the original equation $x = 0.\\overline{6}$ from $10x = 6.\\overline{6}$ gives... | metamathqa-50k | null | null | null | Math | [
"Reasoning"
] | EN | Single-Turn | 0.961914 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_19 | Consolidate sentences that convey similar ideas:
John enjoyed hiking and gardening. He found both activities very peaceful and relaxing. | John enjoyed hiking and gardening. Both activities brought him peaceful and relaxing moments. | [
{
"from": "human",
"value": "Consolidate sentences that convey similar ideas:\nJohn enjoyed hiking and gardening. He found both activities very peaceful and relaxing."
},
{
"from": "gpt",
"value": "John enjoyed hiking and gardening. Both activities brought him peaceful and relaxing moments."
}... | explore-instruct-rewriting | good | The user query is clear and specific, as it provides two sentences that convey similar ideas about John's enjoyment of hiking and gardening. The query is well-formed and easy to understand, with no ambiguity or vagueness. The user's intent is also clear, which is to consolidate the sentences. The only potential weaknes... | meta-llama/Llama-3.3-70B-Instruct | Editing | [
"Information seeking"
] | EN | Single-Turn | 1.84082 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_20 | Consider the polynomial
\[ x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0 \]
where all coefficients are integers. Let \( m \) be the exact number of integer roots of the polynomial, counting multiplicity. Determine all possible values of \( m \). | We analyze various cases of the polynomial with different integer roots setups:
1. **No Integer Roots**: The polynomial \( x^5 + 1 = 0 \) has no integer roots, so \( m = 0 \).
2. **One Integer Root**: Consider \( x(x^4 + 1) = 0 \). It has one integer root at \( x = 0 \), so \( m = 1 \).
3. **Two Integer Roots**: A p... | [
{
"from": "human",
"value": "Consider the polynomial\n\\[ x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0 \\]\nwhere all coefficients are integers. Let \\( m \\) be the exact number of integer roots of the polynomial, counting multiplicity. Determine all possible values of \\( m \\)."
},
{
"from": "gpt",
... | numina-cot-100k | excellent | The user query is very clear and well-articulated, providing a specific polynomial equation and asking for the possible values of the exact number of integer roots. The query contains all the necessary information and context for understanding the user's intent, including the condition that all coefficients are integer... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | -1.023438 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_21 | Describe the process of photosynthesis in plants. Your response should contain at least 4 sentences. Include keywords [photosynthesis], [chlorophyll], [carbon dioxide], [water], [sunlight], and [glucose]. Highlight at least 2 sections with markdown. Finish your response with this exact phrase: "Is there anything else I... | *Photosynthesis* is a vital process in which plants convert light energy into chemical energy. *In this process, [chlorophyll] in the leaves captures [sunlight] and uses it to transform [carbon dioxide] and [water] into [glucose] and oxygen.* The [glucose] produced serves as a source of energy for the plant, supporting... | [
{
"from": "human",
"value": "Describe the process of photosynthesis in plants. Your response should contain at least 4 sentences. Include keywords [photosynthesis], [chlorophyll], [carbon dioxide], [water], [sunlight], and [glucose]. Highlight at least 2 sections with markdown. Finish your response with thi... | smol-constraints | excellent | The user query is clear, specific, and well-articulated. It contains all the necessary information and context for providing a comprehensive response. The query explicitly mentions the required keywords and the desired structure of the response, including the use of markdown for highlighting sections. The only potentia... | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Others"
] | EN | Single-Turn | -0.5 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_22 | Write a Python function to return the first integer in a given list whose digits are strictly increasing from left to right. Here is a higher-order function to run a function within a timeout and return `None` if it exceeds the time limit.
```python
import time
def timeout(func, args=(), kwargs={}, timeout_duration=1... | You can solve this problem by converting each integer in the list to a string, using the `str` function to do so. Then, iterate through the string to check that each digit is strictly less than the next digit. Once you find the first integer that satisfies this check, you can return it.
Here is the code:
```python
de... | [
{
"from": "human",
"value": "Write a Python function to return the first integer in a given list whose digits are strictly increasing from left to right. Here is a higher-order function to run a function within a timeout and return `None` if it exceeds the time limit.\n\n```python\nimport time\n\ndef timeou... | self-oss-instruct | good | The user query is clear and well-structured, providing a specific task to accomplish. It includes a detailed description of the problem, a higher-order function for handling timeouts, and an assertion to test the solution. The query also guarantees that the input list will contain at least one integer satisfying the re... | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Math"
] | EN | Single-Turn | 1.022461 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_23 | Change the word order of the sentence to create a different emphasis:
He walked slowly towards the house. | Slowly, he walked towards the house. | [
{
"from": "human",
"value": "Change the word order of the sentence to create a different emphasis:\nHe walked slowly towards the house."
},
{
"from": "gpt",
"value": "Slowly, he walked towards the house."
}
] | explore-instruct-rewriting | good | The user query is clear and specific, as it provides a sentence and asks for a change in word order to create a different emphasis. The query is well-formed and provides sufficient context for understanding the user's intent. However, it could be improved by providing more details about the desired emphasis or the cont... | meta-llama/Llama-3.3-70B-Instruct | Editing | [
"Creative writing"
] | EN | Single-Turn | -0.980957 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_24 | Your response should contain at least 5 paragraphs. Paragraphs are separated with the markdown divider: ***
Your response must contain at least 3 placeholders represented by square brackets, such as [address].
Include keywords [project], [deadline], and [team] in the response.
Your answer must contain a title, wrap... | <<Project Update>>
The [project] is currently on track, and we are making significant progress towards our [deadline]. The [team] has been working diligently to ensure that all milestones are met, and we are confident that we will deliver the expected results. Each member of the [team] has taken on their responsibilit... | [
{
"from": "human",
"value": "Your response should contain at least 5 paragraphs. Paragraphs are separated with the markdown divider: ***\n\nYour response must contain at least 3 placeholders represented by square brackets, such as [address]. \n\nInclude keywords [project], [deadline], and [team] in the resp... | smol-constraints | excellent | The user query is clear and well-structured, providing specific instructions and requirements for the response. It includes a detailed outline of the expected format, including the use of markdown dividers, placeholders, and keywords. The query also specifies what keywords to exclude and includes a request for a postsc... | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Planning",
"Advice seeking",
"Brainstorming"
] | EN | Single-Turn | 0.080444 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_25 | Two points are selected independently and at random from a segment of length β. What is the probability that they are at least a distance α (where α < β) apart? |
Let's denote the length of the segment as \(\beta\) and the distance constraint as \(\alpha\), with \(\alpha < \beta\).
1. **Define the coordinates of the points:**
- Let \(x\) and \(y\) be the coordinates of two points randomly selected from the segment \([0, \beta]\).
2. **Set up the problem in a coordinate sy... | [
{
"from": "human",
"value": "Two points are selected independently and at random from a segment of length β. What is the probability that they are at least a distance α (where α < β) apart?"
},
{
"from": "gpt",
"value": "\nLet's denote the length of the segment as \\(\\beta\\) and the distance c... | numina-cot-100k | excellent | The user query is clear, specific, and well-articulated. It provides all the necessary information, including the context of selecting two points independently and at random from a segment of length β, and the condition that the points should be at least a distance α apart, where α < β. The query does not lack any esse... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | 0.447266 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_26 | There are 5 red shoes and 4 green shoes. If two red shoes are drawn, what is the probability of getting red shoes? | To find the probability of drawing two red shoes, we need to consider the total number of ways to draw two shoes out of the nine available shoes (5 red and 4 green), and then find the number of ways to draw two red shoes specifically.
First, let's calculate the total number of ways to draw two shoes from the nine avai... | [
{
"from": "human",
"value": "There are 5 red shoes and 4 green shoes. If two red shoes are drawn, what is the probability of getting red shoes?"
},
{
"from": "gpt",
"value": "To find the probability of drawing two red shoes, we need to consider the total number of ways to draw two shoes out of t... | numina-cot-100k | average | The user query is clear and specific, providing all the necessary information about the total number of red and green shoes and the action of drawing two red shoes. However, the query seems to be asking for a probability that is already determined by the action described - if two red shoes are drawn, then by definition... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | -0.364258 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_27 | In the conditions of problem I.6. 98, show that \( \mathrm{E} \tau_{1} < \infty \) if \( \mathrm{E} X_{1} > 0 \). |
First, recall that in problem I.6.98, it is shown that $\mathrm{E} \tau_{1} < \infty$ when the series $\sum_{n \geq 1} \frac{1}{n} \mathrm{P}(S_n \leq 0)$ converges. We will prove this convergence under the assumption $\mathrm{E} X_{1} > 0$.
1. **Define New Random Variables**:
Let
\[
Y_n = X_n - \mathrm{... | [
{
"from": "human",
"value": "In the conditions of problem I.6. 98, show that \\( \\mathrm{E} \\tau_{1} < \\infty \\) if \\( \\mathrm{E} X_{1} > 0 \\)."
},
{
"from": "gpt",
"value": "\nFirst, recall that in problem I.6.98, it is shown that $\\mathrm{E} \\tau_{1} < \\infty$ when the series $\\sum_... | numina-cot-100k | null | null | null | Math | [
"Reasoning"
] | EN | Single-Turn | 0.89209 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_28 | A university's mathematics department has a total of $160$ students. After randomly assigning numbers to the students, a system sampling method is used to extract a sample with a capacity of $5$. It is known that students numbered $40$, $72$, and $136$ are in the sample. What should be the numbers of the other $2$ stud... | According to the definition of system sampling, the numbers of the $5$ students in the sample form an arithmetic sequence with a common difference of $32$.
Given that students numbered $40$, $72$, and $136$ are in the sample, the numbers of the other $2$ students in the sample should be $8$ and $104$.
Therefore, the ... | [
{
"from": "human",
"value": "A university's mathematics department has a total of $160$ students. After randomly assigning numbers to the students, a system sampling method is used to extract a sample with a capacity of $5$. It is known that students numbered $40$, $72$, and $136$ are in the sample. What sh... | numina-cot-100k | good | The user query is clear and specific, providing all the necessary information about the problem, including the total number of students, the sampling method, and the known student numbers in the sample. However, it lacks context about the system sampling method used, which could be important for determining the other s... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning",
"Information seeking"
] | EN | Single-Turn | -1.972656 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_29 | Prove that there exists an ellipsoid touching all edges of an octahedron if and only if the octahedron's diagonals intersect. (Here an octahedron is a polyhedron consisting of eight triangular faces, twelve edges, and six vertices such that four faces meat at each vertex. The diagonals of an octahedron are the lines co... | To prove that there exists an ellipsoid touching all edges of an octahedron if and only if the octahedron's diagonals intersect, we will proceed in two parts: proving the forward direction and then the converse.
### Forward Direction:
**If an octahedron is circumscribed around an ellipsoid, then its diagonals intersec... | [
{
"from": "human",
"value": "Prove that there exists an ellipsoid touching all edges of an octahedron if and only if the octahedron's diagonals intersect. (Here an octahedron is a polyhedron consisting of eight triangular faces, twelve edges, and six vertices such that four faces meat at each vertex. The di... | numina-cot-100k | excellent | The user query is very clear, specific, and well-articulated. It provides a detailed definition of an octahedron and its components, and it clearly states the condition to be proven. The query is well-structured and easy to understand, making it an excellent query. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | -0.103088 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_30 | Given $x > 0$, $y > 0$, and $2x + y = \frac{1}{3}$, find the minimum value of $\frac{1}{x} + \frac{1}{y}$. | We know that $x > 0$ and $y > 0$, and from $2x + y = \frac{1}{3}$, we can multiply both sides of the equation by 6 to obtain $6x + 3y = 1$.
Now, consider the expression $\frac{1}{x} + \frac{1}{y}$. We can rewrite it using the equation $6x + 3y = 1$ as follows:
$$
\frac{1}{x} + \frac{1}{y} = \frac{6x + 3y}{xy} = \frac{... | [
{
"from": "human",
"value": "Given $x > 0$, $y > 0$, and $2x + y = \\frac{1}{3}$, find the minimum value of $\\frac{1}{x} + \\frac{1}{y}$."
},
{
"from": "gpt",
"value": "We know that $x > 0$ and $y > 0$, and from $2x + y = \\frac{1}{3}$, we can multiply both sides of the equation by 6 to obtain ... | numina-cot-100k | excellent | The user query is clear, specific, and well-formed. It provides all the necessary information, including the constraints on the variables x and y, and the equation that relates them. The query also clearly states the objective, which is to find the minimum value of the expression 1/x + 1/y. The query is concise and to ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | -0.706543 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_31 | Add two adjectives to this sentence: "The _____ _____ cat purred quietly." | The sleepy fluffy cat purred quietly. | [
{
"from": "human",
"value": "Add two adjectives to this sentence: \"The _____ _____ cat purred quietly.\""
},
{
"from": "gpt",
"value": "The sleepy fluffy cat purred quietly."
}
] | openhermes-100k | excellent | The user query is clear and specific, as it provides a sentence with a clear request to add two adjectives. The context is well-defined, and the task is straightforward. The query lacks no essential information and is easy to understand. | meta-llama/Llama-3.3-70B-Instruct | Editing | [
"Creative writing"
] | EN | Single-Turn | 0.182495 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_32 | How can I change the font size for all elements (ticks, labels, title) on a matplotlib plot? I am aware of how to alter the tick label sizes using the following code:
```
import matplotlib
matplotlib.rc('xtick', labelsize=20)
matplotlib.rc('ytick', labelsize=20)
```
But, how can I modify the font size of the other ... | The font size of all elements in a matplotlib plot can be modified by using the `rcParams` update method. This method allows you to set the font size globally for all elements in the plot which includes the title, x-label, y-label, ticks, etc.
Here is a step-by-step guide on how to do it:
1. First, you need to import... | [
{
"from": "human",
"value": "How can I change the font size for all elements (ticks, labels, title) on a matplotlib plot? I am aware of how to alter the tick label sizes using the following code:\n\n```\nimport matplotlib \nmatplotlib.rc('xtick', labelsize=20) \nmatplotlib.rc('ytick', labelsize=20) \n```\nB... | openhermes-100k | excellent | The user query is clear and specific, as it directly asks about changing the font size for all elements on a matplotlib plot. It also provides context by mentioning the user's existing knowledge of altering tick label sizes and includes example code. The query is well-structured and easy to understand, making it straig... | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Information seeking"
] | EN | Single-Turn | 1.793945 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_33 | Anna has 50 pencils and Harry has twice the number of Anna’s Pencils but he lost 19 of them. How many pencils are left with Harry? | Anna has 50 pencils.
Harry has twice the number of Anna's pencils, so he has 2 * 50 = 100 pencils.
But Harry lost 19 of his pencils, so he has 100 - 19 = 81 pencils left.
#### 81
The answer is: 81 | [
{
"from": "human",
"value": "Anna has 50 pencils and Harry has twice the number of Anna’s Pencils but he lost 19 of them. How many pencils are left with Harry?"
},
{
"from": "gpt",
"value": "Anna has 50 pencils.\nHarry has twice the number of Anna's pencils, so he has 2 * 50 = 100 pencils.\nBut ... | metamathqa-50k | excellent | The user query is clear, specific, and well-formed. It provides all the necessary information about Anna's and Harry's pencils, including the number of pencils Harry lost. The query is easy to understand, and the intent is straightforward, making it simple to calculate the number of pencils left with Harry. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | 2.634766 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_34 | Create a Python function that scales a list of numbers `x` to have zero mean and unit variance. The function should return the scaled list. If the input is not a list, raise an error. Handle possible errors gracefully. | To scale a list of numbers to have zero mean and unit variance, we can use the formula:
$$
x_{scaled} = \frac{x - \mu}{\sigma}
$$
where $\mu$ is the mean of the original list and $\sigma$ is the standard deviation.
Here is the implementation in Python:
```python
def scale_to_zero_mean_and_unit_variance(x):
if n... | [
{
"from": "human",
"value": "Create a Python function that scales a list of numbers `x` to have zero mean and unit variance. The function should return the scaled list. If the input is not a list, raise an error. Handle possible errors gracefully."
},
{
"from": "gpt",
"value": "To scale a list o... | self-oss-instruct | excellent | The user query is clear, specific, and well-articulated. It provides sufficient context for understanding the user's intent, including the input type, the desired output, and error handling requirements. The query is concise and directly states the problem, making it easy to comprehend and address. | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Math",
"Data analysis"
] | EN | Single-Turn | 2.798828 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_35 | Write a Python function to return the nth element of a sequence, given the sequence and n. The function should support negative indexes, where negative indexes indicate an offset from the last element of the sequence (starting at -1).
Your code should pass the following assertions:
```python
assert nth([1, 2, 3, 4, 5]... | You can use the built-in `len` function to get the length of the sequence. If the index is negative, add the index to the length to get the positive index. Then, use the `[]` indexing notation to access the element at the calculated index.
Here's how you can do it in one line of Python code:
```python
def nth(sequenc... | [
{
"from": "human",
"value": "Write a Python function to return the nth element of a sequence, given the sequence and n. The function should support negative indexes, where negative indexes indicate an offset from the last element of the sequence (starting at -1).\n\nYour code should pass the following asser... | self-oss-instruct | excellent | The user query is clear, specific, and well-formed. It provides sufficient context for understanding the user's intent, including the requirements for the function and the expected behavior for negative indexes. The query also includes assertions to test the function, which helps to clarify the expected output. The onl... | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Information seeking",
"Reasoning"
] | EN | Single-Turn | 1.367188 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_36 | Q: Why can't Cmake find Boost components?
I'm trying to build an open source project called tds2pdb on Windows. It requires Boost, so I downloaded Boost 1.78.0 and built libraries by the recommended method of using commands bootstrap and.\b2. Then I fired up the Cmake GUI and told it where to find Boost. But when I ... | Even though the post mentions that the Boost libraries are present in C:\Code\boost_1_78_0\stage\lib, CMake is still not finding them likely because it is not searching that directory by default.
Some things to note:
- By default, CMake searches a set of standard directories for Boost libraries, defined in the _boos... | [
{
"from": "human",
"value": "Q: Why can't Cmake find Boost components?\n\nI'm trying to build an open source project called tds2pdb on Windows. It requires Boost, so I downloaded Boost 1.78.0 and built libraries by the recommended method of using commands bootstrap and.\\b2. Then I fired up the Cmake GUI ... | longalign | excellent | The user query is clear, specific, and well-articulated. It contains all the necessary information and context for providing a comprehensive response. The user provides detailed error messages, relevant code snippets, and their own analysis of the problem, which demonstrates a good understanding of the issue. The query... | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Information seeking",
"Reasoning"
] | EN | Single-Turn | -2.660156 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_37 | What is the capital of India and how many people live there? Your response should contain at least 2 placeholders represented by square brackets, such as [city] and [population]. Your ENTIRE response should be in English, and in all lowercase letters. no capital letters are allowed.
| "the capital of india is [city] and it has a population of approximately [population] people" | [
{
"from": "human",
"value": "What is the capital of India and how many people live there? Your response should contain at least 2 placeholders represented by square brackets, such as [city] and [population]. Your ENTIRE response should be in English, and in all lowercase letters. no capital letters are allo... | smol-constraints | good | the user query is clear and specific, as it asks for the capital of india and its population, and also provides instructions on the format of the response, including the use of placeholders and the requirement for all lowercase letters. however, it does not provide any context or additional information that could help ... | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Data analysis"
] | EN | Single-Turn | -4.234375 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_38 | Given the following dictionary:
```python
nested_dict = {
"a": {
"b": 1,
"c": 2,
},
"d": {
"e": 3,
"f": {
"g": 4,
"h": 5,
},
},
}
```
Write a Python function `traverse_nested_dict(nested_dict, path)` that traverses the nested dictionary a... | ```python
def traverse_nested_dict(nested_dict, path):
if not path: # Handle empty path
return nested_dict
key, *remaining_path = path
if key not in nested_dict: # Handle invalid path
return None
if not remaining_path: # Handle base case
return nested_dict[key]
return t... | [
{
"from": "human",
"value": "Given the following dictionary:\n\n```python\nnested_dict = {\n \"a\": {\n \"b\": 1,\n \"c\": 2,\n },\n \"d\": {\n \"e\": 3,\n \"f\": {\n \"g\": 4,\n \"h\": 5,\n },\n },\n}\n```\n\nWrite a Python function `trav... | self-oss-instruct | excellent | The user query is clear, specific, and well-articulated. It provides a dictionary example and explains the task in detail. The query also specifies the function name, parameters, and expected behavior, making it easy to understand the user's intent. The user also asks for handling edge cases like empty paths and invali... | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Reasoning"
] | EN | Single-Turn | 1.793945 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_39 | I have an infinite geometric series, and I want to find the sum of the first $n$ terms. The formula is:
$$
S_n = a + ar + ar^2 + ar^3 + \ldots + ar^{n-1}
$$
where $a$ is the first term and $r$ is the common ratio.
I want to normalise the series by dividing each term by $a$, which gives me:
$$
\frac{S_n}{a} = 1 + r ... | Here is the implementation of the Python function to calculate the sum of the first $n$ terms of the series:
```python
def geometric_series_sum(n, r):
"""
Calculate the sum of the first n terms of a geometric series with
common ratio r.
"""
if r == 1:
return n
elif n <= 0:
retur... | [
{
"from": "human",
"value": "I have an infinite geometric series, and I want to find the sum of the first $n$ terms. The formula is:\n\n$$\nS_n = a + ar + ar^2 + ar^3 + \\ldots + ar^{n-1}\n$$\n\nwhere $a$ is the first term and $r$ is the common ratio.\n\nI want to normalise the series by dividing each term ... | self-oss-instruct | excellent | The user query is clear, well-structured, and provides all necessary information, including the formula for the sum of the first n terms of a geometric series and the specific requirements for the code. The query also includes assertions to test the code, which helps to ensure the correctness of the solution. The only ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Coding & Debugging"
] | EN | Single-Turn | -0.397461 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_40 | Your response should contain at least 3 sentences. The response must contain at least 2 placeholders represented by square brackets, such as [address]. Highlight at least 1 section in your answer with markdown, i.e. *highlighted section*. At the end of your response, please explicitly add a postscript starting with P.S... | To address your request, I will provide a response that meets all the specified constraints. *Please find the [address] to the location you are looking for, and ensure you check the [website] for any updates or additional information.* Highlighted sections are marked as requested. P.S. If you need further assistance, f... | [
{
"from": "human",
"value": "Your response should contain at least 3 sentences. The response must contain at least 2 placeholders represented by square brackets, such as [address]. Highlight at least 1 section in your answer with markdown, i.e. *highlighted section*. At the end of your response, please expl... | smol-constraints | good | The user query is clear and specific, providing detailed instructions on how to format the response. It highlights the need for a well-structured answer that includes at least three sentences, contains placeholders represented by square brackets, and includes a highlighted section using markdown. However, the query its... | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Advice seeking",
"Brainstorming"
] | EN | Single-Turn | -3.164063 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
smoltalk_ds_41 | What is the degree measure of the supplement of the complement of a 36-degree angle? | 1. **Find the complement of the angle**: The complement of a 36-degree angle is calculated by $90^\circ - 36^\circ = 54^\circ$.
2. **Find the supplement of the complement**: The supplement of a 54-degree angle is calculated by $180^\circ - 54^\circ = 126^\circ$.
Conclusion: The supplement of the complement of a 36-deg... | [
{
"from": "human",
"value": "What is the degree measure of the supplement of the complement of a 36-degree angle?"
},
{
"from": "gpt",
"value": "1. **Find the complement of the angle**: The complement of a 36-degree angle is calculated by $90^\\circ - 36^\\circ = 54^\\circ$.\n2. **Find the suppl... | numina-cot-100k | excellent | The user query is very clear, specific, and well-articulated. It contains all the necessary information and context for providing a comprehensive response. The query directly asks for the degree measure of the supplement of the complement of a 36-degree angle, which is a well-defined mathematical problem. The language ... | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | EN | Single-Turn | 1.320313 | sfairXC/FsfairX-LLaMA3-RM-v0.1 | null | null |
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