Openthoughts 1K Sample

Name: Openthoughts 1K Sample
Creator: Helix
Keywords: dataset, format:parquet, hugging face, library:datasets, library:mlcroissant, library:pandas, modality:text, size_categories:1K<n<10K

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[!NOTE] We have released a paper for OpenThoughts! See our paper here. Open-Thoughts-1k-sample This is a 1k sample of the OpenThoughts-114k dataset. Open synthetic reasoning dataset with high-quality examples covering math, science, code, and puzzles! Inspect the content with rich formatting with Curator Viewer. Available Subsets default subset containing ready-to-train data used to finetune the OpenThinker-7B and OpenThinker-32B models: ds =… See the full description on the dataset page: https://huggingface.co/datasets/ryanmarten/OpenThoughts-1k-sample.

ryanmarten--openthoughts-1k-sample--metadata.parquet 500 rows ryanmarten/OpenThoughts-1k-sample

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count of records by domain distribution of domain most common values in problem length distribution of problem

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500 rows · 8 columns · showing first 12

#	problem text	deepseek_reasoning text	deepseek_solution text	ground_truth_solution text	domain text	source text	test_cases text
1	Show that the planes $2x + 3y - 4z + 1 = 0$ and $5x - 2y + z + 6 = 0$ are mutually perpendicular.	Okay, let's see. The problem is to show that the two planes given by the equations 2x + 3y - 4z + 1 = 0 and 5x - 2y + z + 6 = 0 are mutuall…	To determine if the planes $2x + 3y - 4z + 1 = 0$ and $5x - 2y + z + 6 = 0$ are mutually perpendicular, follow these steps: 1. **Ident…	Problem 377: 1. Given planes: \[ 2x + 3y - 4z + 1 = 0 \] and \[ 5x - 2y + z + 6 = 0 \] 2. To establish that th…	math	numina_math
2	Chef's friend Alex runs a movie theatre. Due to the increasing number of platforms for watching movies online, his business is not running …	Okay, let's see. I need to solve this problem where Alex's movie theatre has to maximize profit by assigning movies to showtimes with diffe…	To solve this problem, we need to maximize the profit for Alex's movie theatre by optimally scheduling movies at different showtimes with v…		code	apps	{"inputs": [["5", "12", "A 3", "B 12", "C 6", "A 9", "B 12", "C 12", "D 3", "B 9", "D 3", "B 12", "B 9", "C 6", "7", "A 9", "A 9", "B 6", "…
3	After a lot of hard work, Goyal has finally completed his app. But before he launches it, he needs to test it. His friends are helping him …	Okay, let's see. I need to solve this problem where I have to process a list of names and output them sorted by their count in descending o…	To solve this problem, we need to generate a "Hall of Fame" from log entries of friends using an app, sorted by the number of times each fr…		code	code_contests	{"inputs": ["6\nMohit Karan Mohit Mohit Ajay Karan\n\nSAMPLE", "7\nArjun Mohit Karan Mohit Mohit Ajay Karan", "6\nMohit Karan Mohit Mohit A…
4	A sequence of natural numbers $ \{x_{n}\} $ is constructed by the following rule: $ x_{1} = 2 $, and \( x_{n} = \lfloor 1.5 x_{n-1} \rf…	Okay, so I need to prove that the sequence $ y_{n} = (-1)^{x_{n}} $ is non-periodic, where $ x_{n} $ is defined by $ x_{1} = 2 $ and …	To prove that the sequence $ y_n = (-1)^{x_n} $ is non-periodic, where $ x_n $ is defined by $ x_1 = 2 $ and \( x_n = \lfloor 1.5 x_{…	1. Assume periodicity: Suppose the sequence $\{y_n\}$ is periodic. This means there exist natural numbers $T$ and $n_0$ such that: …	math	numina_math
5	Determine the value of $$ z=a \sqrt{a} \sqrt[4]{a} \sqrt[8]{a} \ldots \sqrt[2^{n}]{a} \ldots $$ if $ n $ is infinitely large.	Okay, so I need to find the value of z, which is this infinite product of a multiplied by the square root of a, then the fourth root, then …	The value of $ z $ is determined by recognizing the infinite product as a geometric series in the exponents. **Step-by-Step Explanation…	1. We begin by rewriting the given infinite product expression in a more manageable form. The given product is: \[ z = a \sqrt{a…	math	numina_math
6	What are the specific mechanisms by which exposure to lead affects the developing brain, and how can we mitigate the harmful effects of lea…	Okay, so I need to figure out the specific mechanisms by which lead exposure affects the developing brain and how to mitigate those harmful…	The harmful effects of lead exposure on the developing brain involve multiple interconnected mechanisms, each contributing to neurodevelopm…		biology	camelai_biology
7	When you go to buy a sheep you will learn that it is what? A: expensive B: wolf C: wool D: goat E: lamb	Okay, so I need to figure out the answer to this question: When you go to buy a sheep you will learn that it is what? The options are A: ex…	The question is a riddle that plays on the idiom "a wolf in sheep's clothing," which refers to a deceptive entity disguised as something ha…	A	puzzle	riddle_sense
8	You are given a text consisting of n space-separated words. There is exactly one space character between any pair of adjacent words. There …	Okay, I need to solve this problem where I have to find the minimum possible length of the text after replacing two non-overlapping equal s…	To solve this problem, we need to find the minimum possible length of a text after replacing at least two non-overlapping equal segments of…		code	code_contests	{"inputs": ["10\na ab a a b ab a a b c\n", "6\naa bb aa aa bb bb\n", "6\nto be or not to be\n", "1\nxdhlmtnvecsbwbycahddxnvwpsxwxgfmidfetpk…
9	In a group of $ n $ people, some know each other while others do not. It is given that if $ A $ knows $ B $, then $ B $ knows \( A …	Okay, so I need to show that in a group of n people where the "knowing" relationship is mutual (if A knows B, then B knows A), there must b…	To demonstrate that in a group of $ n $ people with mutual acquaintance relationships, there must exist at least two individuals who know…	```markdown 1. Identify the Problem Domain: - We are given a group of $n$ people where the relationships are mutual: If person $A$ …	math	numina_math
10	The equation $ x^{2} + a x + 8 = 0 $ has two distinct roots $ x_{1} $ and $ x_{2} $; moreover, \[ x_{1} - \frac{64}{17 x_{2}^{3}} =…	Okay, let's see. I need to find all possible values of $ a $ such that the quadratic equation $ x^2 + a x + 8 = 0 $ has two distinct ro…	Given the quadratic equation $ x^2 + ax + 8 = 0 $ with distinct roots $ x_1 $ and $ x_2 $, we need to find the values of $ a $ such…	1. To find the possible values of $a$ for which the quadratic equation $x^2 + ax + 8 = 0$ has two distinct roots $x_1$ and $x_2$, …	math	numina_math
11	Bonnie makes the frame of a cube out of 12 pieces of wire that are each six inches long. Meanwhile Roark uses 1-inch-long pieces of wire to…	Okay, let's try to solve this problem step by step. So Bonnie is making a cube frame with 12 pieces of wire, each 6 inches long. Roark is m…	Bonnie makes a cube frame using 12 pieces of wire, each 6 inches long. The total length of wire Bonnie uses is calculated as follows: \[ 12…	First, let's calculate the total length of Bonnie's wire and the volume of her cube. Bonnie uses 12 pieces of wire, each 6 inches long, so …	math	numina_math
12	Show that the number $r(n)$ of representations of $n$ as a sum of two squares has $\pi$ as arithmetic mean, that is \[\lim_{n \to \in…	Okay, so I need to show that the arithmetic mean of the number of representations of a number as a sum of two squares approaches π as n goe…	To show that the number $ r(n) $ of representations of $ n $ as a sum of two squares has $ \pi $ as its arithmetic mean, we need to p…	To show that the number $ r(n) $ of representations of $ n $ as a sum of two squares has $\pi$ as its arithmetic mean, we need to pro…	math	numina_math

Auto-generated charts

Openthoughts 1K Sample: 500 rows by 8 columns. These exploratory charts are generated automatically from the data - open the dataset in Helix to ask your own questions.

Rows500

Columns8

Categorical cols3

Charts

domain by record count

Most common domain values across records.

Interesting queries to try

Columns

problem text
deepseek_reasoning text
deepseek_solution text
ground_truth_solution text
domain categorical
source categorical
test_cases text
starter_code categorical

#	problem text	deepseek_reasoning text	deepseek_solution text	ground_truth_solution text	domain text	source text	test_cases text
1	Show that the planes $2x + 3y - 4z + 1 = 0$ and $5x - 2y + z + 6 = 0$ are mutually perpendicular.	Okay, let's see. The problem is to show that the two planes given by the equations 2x + 3y - 4z + 1 = 0 and 5x - 2y + z + 6 = 0 are mutuall…	To determine if the planes \(2x + 3y - 4z + 1 = 0\) and \(5x - 2y + z + 6 = 0\) are mutually perpendicular, follow these steps: 1. **Ident…	Problem 377: 1. Given planes: \[ 2x + 3y - 4z + 1 = 0 \] and \[ 5x - 2y + z + 6 = 0 \] 2. To establish that th…	math	numina_math
2	Chef's friend Alex runs a movie theatre. Due to the increasing number of platforms for watching movies online, his business is not running …	Okay, let's see. I need to solve this problem where Alex's movie theatre has to maximize profit by assigning movies to showtimes with diffe…	To solve this problem, we need to maximize the profit for Alex's movie theatre by optimally scheduling movies at different showtimes with v…		code	apps	{"inputs": [["5", "12", "A 3", "B 12", "C 6", "A 9", "B 12", "C 12", "D 3", "B 9", "D 3", "B 12", "B 9", "C 6", "7", "A 9", "A 9", "B 6", "…
3	After a lot of hard work, Goyal has finally completed his app. But before he launches it, he needs to test it. His friends are helping him …	Okay, let's see. I need to solve this problem where I have to process a list of names and output them sorted by their count in descending o…	To solve this problem, we need to generate a "Hall of Fame" from log entries of friends using an app, sorted by the number of times each fr…		code	code_contests	{"inputs": ["6\nMohit Karan Mohit Mohit Ajay Karan\n\nSAMPLE", "7\nArjun Mohit Karan Mohit Mohit Ajay Karan", "6\nMohit Karan Mohit Mohit A…
4	A sequence of natural numbers \( \{x_{n}\} \) is constructed by the following rule: \( x_{1} = 2 \), and \( x_{n} = \lfloor 1.5 x_{n-1} \rf…	Okay, so I need to prove that the sequence \( y_{n} = (-1)^{x_{n}} \) is non-periodic, where \( x_{n} \) is defined by \( x_{1} = 2 \) and …	To prove that the sequence \( y_n = (-1)^{x_n} \) is non-periodic, where \( x_n \) is defined by \( x_1 = 2 \) and \( x_n = \lfloor 1.5 x_{…	1. Assume periodicity: Suppose the sequence $\{y_n\}$ is periodic. This means there exist natural numbers $T$ and $n_0$ such that: …	math	numina_math
5	Determine the value of $$ z=a \sqrt{a} \sqrt[4]{a} \sqrt[8]{a} \ldots \sqrt[2^{n}]{a} \ldots $$ if \( n \) is infinitely large.	Okay, so I need to find the value of z, which is this infinite product of a multiplied by the square root of a, then the fourth root, then …	The value of \( z \) is determined by recognizing the infinite product as a geometric series in the exponents. **Step-by-Step Explanation…	1. We begin by rewriting the given infinite product expression in a more manageable form. The given product is: \[ z = a \sqrt{a…	math	numina_math
6	What are the specific mechanisms by which exposure to lead affects the developing brain, and how can we mitigate the harmful effects of lea…	Okay, so I need to figure out the specific mechanisms by which lead exposure affects the developing brain and how to mitigate those harmful…	The harmful effects of lead exposure on the developing brain involve multiple interconnected mechanisms, each contributing to neurodevelopm…		biology	camelai_biology
7	When you go to buy a sheep you will learn that it is what? A: expensive B: wolf C: wool D: goat E: lamb	Okay, so I need to figure out the answer to this question: When you go to buy a sheep you will learn that it is what? The options are A: ex…	The question is a riddle that plays on the idiom "a wolf in sheep's clothing," which refers to a deceptive entity disguised as something ha…	A	puzzle	riddle_sense
8	You are given a text consisting of n space-separated words. There is exactly one space character between any pair of adjacent words. There …	Okay, I need to solve this problem where I have to find the minimum possible length of the text after replacing two non-overlapping equal s…	To solve this problem, we need to find the minimum possible length of a text after replacing at least two non-overlapping equal segments of…		code	code_contests	{"inputs": ["10\na ab a a b ab a a b c\n", "6\naa bb aa aa bb bb\n", "6\nto be or not to be\n", "1\nxdhlmtnvecsbwbycahddxnvwpsxwxgfmidfetpk…
9	In a group of \( n \) people, some know each other while others do not. It is given that if \( A \) knows \( B \), then \( B \) knows \( A …	Okay, so I need to show that in a group of n people where the "knowing" relationship is mutual (if A knows B, then B knows A), there must b…	To demonstrate that in a group of \( n \) people with mutual acquaintance relationships, there must exist at least two individuals who know…	```markdown 1. Identify the Problem Domain: - We are given a group of $n$ people where the relationships are mutual: If person $A$ …	math	numina_math
10	The equation \( x^{2} + a x + 8 = 0 \) has two distinct roots \( x_{1} \) and \( x_{2} \); moreover, \[ x_{1} - \frac{64}{17 x_{2}^{3}} =…	Okay, let's see. I need to find all possible values of \( a \) such that the quadratic equation \( x^2 + a x + 8 = 0 \) has two distinct ro…	Given the quadratic equation \( x^2 + ax + 8 = 0 \) with distinct roots \( x_1 \) and \( x_2 \), we need to find the values of \( a \) such…	1. To find the possible values of \(a\) for which the quadratic equation \(x^2 + ax + 8 = 0\) has two distinct roots \(x_1\) and \(x_2\), …	math	numina_math
11	Bonnie makes the frame of a cube out of 12 pieces of wire that are each six inches long. Meanwhile Roark uses 1-inch-long pieces of wire to…	Okay, let's try to solve this problem step by step. So Bonnie is making a cube frame with 12 pieces of wire, each 6 inches long. Roark is m…	Bonnie makes a cube frame using 12 pieces of wire, each 6 inches long. The total length of wire Bonnie uses is calculated as follows: \[ 12…	First, let's calculate the total length of Bonnie's wire and the volume of her cube. Bonnie uses 12 pieces of wire, each 6 inches long, so …	math	numina_math
12	Show that the number $r(n)$ of representations of $n$ as a sum of two squares has $\pi$ as arithmetic mean, that is \[\lim_{n \to \in…	Okay, so I need to show that the arithmetic mean of the number of representations of a number as a sum of two squares approaches π as n goe…	To show that the number \( r(n) \) of representations of \( n \) as a sum of two squares has \( \pi \) as its arithmetic mean, we need to p…	To show that the number \( r(n) \) of representations of \( n \) as a sum of two squares has \(\pi\) as its arithmetic mean, we need to pro…	math	numina_math