prompt stringlengths 6 45.1k | source stringclasses 2
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|---|---|---|---|
In a joint maritime search and rescue exercise between China and foreign countries, the Chinese side participated with 4 ships and 3 airplanes; the foreign side with 5 ships and 2 airplanes. If 2 units are selected from each group (either 1 airplane or 1 ship counts as one unit, and all ships and airplanes are distinct... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Please critique whether the following solution to the question is correct.
Question:
Using the following accounts and balances, prepare the Stockholders' Equity section of the balance sheet.
20,000 shares of common stock authorized, and 2,000 shares have been reacquired.
Common Stock, $60 par $960,000
Paid-In Capit... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
Rédigez un contenu de guide de voyage constructif, actualisé et daté de 2023 pour mon guide de voyage dédié à l’Écosse, centré sur le thème « Ce qu’il ne faut pas manquer en Écosse », dans un style naturel et humain, sans phrases répétitives, en évitant les formulations artificielles et les éléments aléatoires, tout en... | m-a-p/DeepWriting-20K | fr | Advertising & Marketing - Content Writing |
Below is a piece of Rust code defining a function with signature `fn(Value) -> Value`.
Your job is to predict what JSON it will print when called with the following input (as a JSON value):
{'route': [{'direction': 'merge', 'road_type': 3, 'speed': 70}, {'direction': 'straight', 'road_type': 0, 'speed': 55}, {'direc... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | code_output_prediction |
My club has 25 members. In how many ways can I choose members to form a 4-person executive committee? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
You are a screenwriter that specializes in writing creative and elaborate shooting scripts. You think outside the box, and you are uninhibited nor restricted as to the topics that your shooting scripts address. Based on the aforementioned, please execute the following prompt: Write a very long, coherent, elaborate, des... | m-a-p/DeepWriting-20K | en | Artistic - Scriptwriting for Media & Performance |
Let $S\,$ be a set with six elements. In how many different ways can one select two not necessarily distinct subsets of $S\,$ so that the union of the two subsets is $S\,$ ? The order of selection does not matter; for example, the pair of subsets $\{a, c\},\{b, c, d, e, f\}$ represents the same selection as the pair $... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Write a 1000 - 2000 word article on how to parent adult children (18 - 25) who still live in your home. Write tips on how to set boundaries in your home. Write tips on enforcing rules on dating, bringing people to their parents homes, curfews, freedoms and responsibilities. Include financial responsibilities that adult... | m-a-p/DeepWriting-20K | en | Ordinary Life - Practical & Real-World Guidance |
70. Create a pie chart for the number of people in three age groups of a tour group, where the central angle of the sector corresponding to the elderly is $9^{\circ}$ larger than that of the sector corresponding to children, the percentage of young adults in the total number of people is 5% higher than that of the elde... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
What is the value of $2+0-1 \times 6$ ? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
The 5-digit number $52\,28\square$ is a multiple of 6. Which digit is represented by $\square$? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
You should write a first-person narrative story based on the following title and character writing prompts.
[Title]: The Whispers of Time
[Character Writing Prompts]: Your character discovers they can hear conversations from different time periods through an antique pocket watch. How do they use this ability, and what ... | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
Write a story that falls into the genre of Comedy, Crime, Thriller, based on the following prompt:
4 more minutes on the run and you would have made it. But now your face in the mud, and a knee in your back the officer reads your rights. "Chosen by lottery, informed within the time limit. You are hearby duly sworn as t... | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
Please critique whether the following solution to the question is correct.
Question:
Compute the following geometric series: $\sum_{k=0}^{13} (-1) \left(\frac{1}{3}\right)^k$
Solution:
To compute this geometric series, we can use the formula for the sum of a geometric series:
\[ S_n = \frac{a(1 - r^n)}{1 - r} \]
wh... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
## 48. Sequence of Numbers
To write the sequence of numbers from 1 to $n$, it took 2893 digits. What is the number $n$? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
帮我写一篇2000字的中文毕业实习报告。我实习的岗位是外卖运营。实习报告有以下要求：一、毕业实习报告内容组成\n本科毕业实习报告应包括以下几方面内容：\nl.题目；2.摘要（中文）；3.关键词；4.正文；5.参考文献；6.附录（可选）\n二、毕业实习报告撰写内容要求\n1.题目\n实习报告题目应该简短、明确、有概括性；字数要适当，一般不宜超过20个汉字。如有特殊要求，可加注副标题。\n2.摘要\n实习报告摘要以浓缩的形式概括全文的内容，中文摘要在200汉字左右。\n3.关键词\n关键词是表述实习报告主题内容信息的单词或术语，关键词数量一般3~5个。每一个关键词之间用分号隔开，最后一个关键词后不用标点符号。\n4.正文\n正文一般包括... | m-a-p/DeepWriting-20K | zh | Non-Science & Non-Engineering Scholarly Paper Writing |
Scrivi una storia che rientri nel genere Fantasy, Fiction Letteraria, basata sul seguente prompt:
Quando muori, ti ritrovi in un cinema insieme a un certo numero di altre persone che ti assomigliano. Scopri che sono le tue reincarnazioni precedenti, e poco dopo iniziate tutti a guardare la tua prossima vita sullo scher... | m-a-p/DeepWriting-20K | it | Artistic - Creative & Narrative Writing |
32. How many five-digit numbers are there that read the same from left to right and right to left? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Given a parabola $C$ that passes through the point $(4,4)$ and its focus lies on the $x$-axis.
$(1)$ Find the standard equation of parabola $C$.
$(2)$ Let $P$ be any point on parabola $C$. Find the minimum distance between point $P$ and the line $x - y + 4 = 0$. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
please expand the following scientific paper in length, scope and complexity while also improving grammar and vocabulary; My Lord, constructing a super-resolution microscopy device in a garage with materials available to the general public would be extremely challenging. Super-resolution microscopy relies on highly spe... | m-a-p/DeepWriting-20K | en | Law - Judicial & Procedural Documents |
Rapport de performance de l'élève :
À l'issue de l'année scolaire, je tiens à exprimer ma reconnaissance pour l'opportunité d'avoir enseigné à Alex cette année. Alex a fait des progrès remarquables dans plusieurs domaines, tout en rencontrant des difficultés dans d'autres.
Alex fait preuve de façon constante d'une fo... | m-a-p/DeepWriting-20K | fr | Education & Teaching |
Se Soldier 76 giocasse a Cyberpunk 2077, cosa ne penserebbe? Entra nel dettaglio. Rendilo lungo. Sii creativo e originale. | m-a-p/DeepWriting-20K | it | Artistic - Essay Writing & Topic/Argument Writing |
II. (40 points) Given the sequence of real numbers $\left\{a_{n}\right\}$ satisfies
$$
a_{1}=\frac{1}{3}, a_{n+1}=2 a_{n}-\left[a_{n}\right],
$$
where $[x]$ denotes the greatest integer less than or equal to the real number $x$.
$$
\text { Find } \sum_{i=1}^{2012} a_{i} \text {. }
$$ | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Dans une situation hypothétique, si les populations des cités-états antiques d'Athènes et de Sparte avaient émigré vers l'archipel malais (comprenant les pays actuels des Philippines, de la Malaisie, de l'Indonésie, du Brunei, du Timor oriental, de Singapour et de la Papouasie-Nouvelle-Guinée) au IIIe siècle avant J.-C... | m-a-p/DeepWriting-20K | fr | Ordinary Life - Analytical & Creative Reasoning |
Please critique whether the following solution to the question is correct.
Question:
Orthogonally normalize the following set of vectors:
$$
v_1 = \left\{\frac{5}{7},-\frac{2}{7},\frac{1}{7}\right\}, \quad
v_2 = \left\{-\frac{18}{7},-\frac{17}{7},-\frac{9}{7}\right\}, \quad
v_3 = \left\{-\frac{18}{7},\frac{8}{7},1\ri... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
Given the ellipse $\Gamma$: $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 (a > b > 0)$ with its right focus at $F(3,0)$, and its upper and lower vertices at $A$ and $B$ respectively. The line $AF$ intersects $\Gamma$ at another point $M$. If the line $BM$ intersects the $x$-axis at the point $N(12,0)$, find the eccentricity o... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Title: Divisibility
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Find the number of *k*-divisible numbers on the segment [*a*,<=*b*]. In other words you need to find the number of such integer values *x* that *a*<=≤<=*x*<=≤<=*b* and *x* is divisible by *k*.
Input Specification:
The onl... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
Five fair ten-sided dice are rolled. Calculate the probability that at least four of the five dice show the same value. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Write a story that falls into the genre of Fantasy, Erotica, Comedy, based on the following prompt:
"you're not here to slay me and save the princess?" "No I want to join you guys. A pretty princess with an awesome dragon in an isolated castle away from society? That's a pretty sweet gig." | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
Develop taglines for a new eco-friendly home cleaning product line, highlighting:
1) Environmental benefits (biodegradable ingredients, plastic-free packaging);
2) Cleaning effectiveness - works on multiple surfaces, removes tough stains, safe for the whole family, including pets;
3) Use fresh, modern language that app... | m-a-p/DeepWriting-20K | en | Advertising & Marketing - Promotional Writing |
Écris une histoire relevant des genres Fantasy et Paranormal, d'après l'invite suivante :
Il s'avère qu'il existe un « endroit spécial en enfer ». Mais il n'est pas fait pour les pires : il accueille les âmes bonnes qui sont absolument convaincues d'être damnées, pour qu'elles puissent « se repentir » et accepter qu'el... | m-a-p/DeepWriting-20K | fr | Artistic - Creative & Narrative Writing |
《边城》结构与象征探析
翻阅沈从文的代表作《边城》，文本中处处蕴含着微妙的象征与隐喻。请选择作品中的一个核心意象（如渡船、白塔、狗或湘西风俗等），分析其在小说中的象征意义及其如何贯穿全文，为故事结局埋下伏笔。
请撰写一篇约1200字的文学赏析文章，详细阐述该意象如何与翠翠的命运相互交织，并探讨这一意象如何体现沈从文对乡土中国的独特理解与人性观照。文章需结合作者生平、创作背景及湘西文化特点，解读《边城》中"世外桃源"与现实矛盾的艺术表达。
请按照以下框架组织文章：
1. 开篇：简述《边城》的创作背景及其在中国现代文学中的地位
2. 意象分析：详细阐述所选意象的具体表现及其变化发展
3. 象征意义：探讨该意象如何反映人物内心世界及... | m-a-p/DeepWriting-20K | zh | Artistic - Analytical & Critical Writing |
请写一篇650字左右的短文，描述袁隆平爷爷的求实精神如何指引你成长。请围绕袁隆平爷爷的求实精神，结合你亲身经历，写一段具体、感人的故事。故事中可以包含以下元素：勤奋、努力、毅力、成功和感激。请确保文章内容真实可信，具有启发性和教育意义，并以一个小学生的视角，表达出对袁隆平爷爷的钦佩和感激之情。 | m-a-p/DeepWriting-20K | zh | Artistic - Essay Writing & Topic/Argument Writing |
Write a story that falls into the genre of Fantasy, Horror, based on the following prompt:
Every 1000 years all of the Gods get together for a contest to see who can collect the most souls with a single catastrophic event. Last time Poseidon broke the 1M mark with a Tsunami/earthquake combo. You're up. | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
"My phone number," said the trip leader to the kids, "is a five-digit number. The first digit is a prime number, and the last two digits are obtained from the previous pair (which represents a prime number) by rearrangement, forming a perfect square. The number formed by reversing this phone number is even." What is th... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
ファンタジー小説の執筆中なのですが、外見は自信に満ちて強大な力を誇っているように見えるものの、内面では自分自身への疑い（自信喪失）と失敗への恐怖に日々苦しんでいる女性の悪役キャラクターをデザインする手助けを求めています。 | m-a-p/DeepWriting-20K | ja | Artistic - Creative & Narrative Writing |
Takahashi wants to print a document with N pages double-sided, where two pages of data can be printed on one sheet of paper.
At least how many sheets of paper does he need?
-----Constraints-----
- N is an integer.
- 1 \leq N \leq 100
-----Input-----
Input is given from Standard Input in the following format:
N
---... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
Title: Alice, Bob, Two Teams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Alice and Bob are playing a game. The game involves splitting up game pieces into two teams. There are *n* pieces, and the *i*-th piece has a strength *p**i*.
The way to split up game pieces is split into several... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
$29 \cdot 37 x^{4}+2 x^{2}+9$ has a factor of
(A) $x^{2}+3$.
(B) $x+1$.
(C) $x^{2}-3$.
(D) $x^{2}-2 x-3$.
(E) None of the above.
(6th American High School Mathematics Examination, 1955) | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Determine how many integer values of $x$ satisfy $\lceil{\sqrt{x}}\rceil = 20$. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Please critique whether the following solution to the question is correct.
Question:
Find the Jacobian matrix of the vector-valued function $\mathbf{F}(x, y, z) = \begin{pmatrix} f(x, y, z) \\ g(x, y, z) \\ h(x, y, z) \end{pmatrix}$, where $f(x, y, z) = \log\left(x^4 - y\right)$, $g(x, y, z) = y$, and $h(x, y, z) = \c... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
英語の論文を執筆せよ：前置詞を学習する第2言語学習者は、異なる意味を持つ前置詞（例：空間的、時間的、所有的な意味を持つもの）や異なる文法構造（例：名詞句、動詞句）における前置詞の使用能力において、どのような違いが見られるか？ | m-a-p/DeepWriting-20K | ja | Non-Science & Non-Engineering Scholarly Paper Writing |
You can get a kitten, "I promised my seven
year-old daughter,
Cali."As soon as we got settled in our new apart ment."Her life had been uprooted when her fat her and I divorced.So one morning,
we headed to North Bay Animal Services to pick
out her new pet.
There were plenty of cats to choose from,
but Cali had her heart... | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
Please critique whether the following solution to the question is correct.
Question:
Would Faraday’s law still apply if extended to a curve and a surface in more than two dimensions?
For instance, consider a scenario where the surface $S$ extends vertically in the $z$ direction according to the equation $z = 5 - x^2 ... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
Write a current and up to date 2023 comprehensive and well detailed chapter for my Athens travel guide book on “Conclusion” with humanlike style, non repetitive phrases and avoidance of unnatural sentences and randomness while explaining in details. Please prevent writing listing/numbered format while generating the tr... | m-a-p/DeepWriting-20K | en | Advertising & Marketing - Content Writing |
Below is a piece of python code. Your job is to predict the output of the function transform_nested_data given an input, which is a json-serializable dict. Here is the input:
[{'name': 'Laptop', 'price': 1299, 'ratings': [5, 4, 5]}, {'name': 'Headphones', 'price': 249, 'ratings': [3, 4, 4, 5]}, {'name': 'Smartwatch', ... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | code_output_prediction |
Everybody knows what an arithmetic progression is. Let us remind you just in case that an arithmetic progression is such sequence of numbers a_1, a_2, ..., a_{n} of length n, that the following condition fulfills: a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = ... = a_{i} + 1 - a_{i} = ... = a_{n} - a_{n} - 1.
For example, seque... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
Sisyphus Gives Advice
Write a comedic scene in the style of Terry Pratchett featuring Sisyphus, who has started an advice column while continuing his eternal boulder-pushing. Rather than being bitter about his punishment, Sisyphus has developed a comfortably zen emotional intelligence and wisdom from his centuries of r... | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
II. (40 points) Let $p$ be a prime number, and the sequence $\left\{a_{n}\right\}(n \geqslant 0)$ satisfies $a_{0}=0, a_{1}=1$, and for any non-negative integer $n$, $a_{n+2}=2 a_{n+1}-p a_{n}$. If -1 is a term in the sequence $\left\{a_{n}\right\}$, find all possible values of $p$.
保留了原文的换行和格式。 | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Here is a set of basic questions producing integer or string outputs. Answer them and format the result precisely with the JSON instructions provided:
Question 0 (Question id: q_4fjkUOM):
Your job is to return the last character of a string as a string. For example, the last char of "hello" is "o". Return the last cha... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | complex_json_output |
ホラー、エロティカ、オカルトのジャンルに属する物語を、以下のプロンプトに基づいて執筆してください。
遥かな昔、悪魔が封印されていた。その悪魔の人間の子孫がある日、この封印が永遠のものではなく、100年以上前に解けるはずだった刑罰のためのものであることを知る。さらに、封印を守る番人たちが度々封印を修復している事実も突き止める。その悪魔は子孫の唯一の生存している肉親であるため、人間の子孫は弁護士を雇う。 | m-a-p/DeepWriting-20K | ja | Artistic - Creative & Narrative Writing |
食品保存に関する以下の質問について、詳細な回答を作成してください：
[質問]：新鮮な果物の風味と栄養価を維持するための最適な冷凍方法にはどのようなものがありますか？
[要件]
1. 回答は、複数の保存技術を網羅できる程度に十分な詳しさで記載すること。 | m-a-p/DeepWriting-20K | ja | Ordinary Life - Practical & Real-World Guidance |
Title: Treasure Island
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Our brave travelers reached an island where pirates had buried treasure. However as the ship was about to moor, the captain found out that some rat ate a piece of the treasure map.
The treasure map can be represented as a ... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
请为一家中型餐饮企业撰写一份数字化转型方案建议书，针对预算200万元的智能化升级提供全面规划。具体需要包含:
1. 以问题诊断开场，体现对餐饮行业痛点和企业具体需求的理解
2. 分析当前餐饮行业数字化趋势及各类技术解决方案的成本效益
3. 根据企业需求，详细说明智能点餐系统、会员管理系统、供应链管理系统、数据分析平台等各模块的具体投入比例建议
4. 每个系统模块的技术供应商推荐及实施时间表
5. 数字化转型的阶段性评估与调整机制
6. 实施风险分析及预期回报预测
行文风格要专业但易懂，避免过于技术化的表述，适合向企业管理层汇报或作为项目提案使用 | m-a-p/DeepWriting-20K | zh | Finance & Business - Strategic Planning and Analysis |
Your entire response should be in English, capital letters only. Stream of consciousness rationale: A person is practicing climbing on the rock wall beneath a real mountain.
The question and answer pair are described below. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | ifeval |
Prepare a detailed report on the Amish. | m-a-p/DeepWriting-20K | en | Non-Science & Non-Engineering Scholarly Paper Writing |
Scrivi una storia che rientri nei generi Horror, Mistero, Erotica e Thriller, basata sul seguente spunto: Sei l'avvocato di personaggi di fantasia, il tuo cliente? Il Giudice di *Meridiano di sangue*. | m-a-p/DeepWriting-20K | it | Artistic - Creative & Narrative Writing |
3. Four boys, four girls, and a coach are arranged on a circular track. Each girl stands diametrically opposite one of the boys. The length of the track is 50m. On the coach's command, all of them run to him along the shortest path on the track. What is the total distance all the children will run together? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Give two different responses. Responses and only responses should be separated by 6 asterisk symbols: ******. Use the following model to create a prediction for the values in the list classifying it as either 0 or 1.
[1.0, 2.0, 0.5] | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | ifeval |
For how many of the following types of quadrilaterals does there exist a point in the plane of the quadrilateral that is equidistant from all four vertices of the quadrilateral?
a square
a rectangle that is not a square
a rhombus that is not a square
a parallelogram that is not a rectangle or a rhombus
an isosceles tr... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Given $n(n \geqslant 2)$ real numbers $\theta_{1}, \theta_{2}, \cdots, \theta_{n}\left(\theta_{i} \in\left(0, \frac{\pi}{2}\right], 1 \leqslant i \leqslant n\right)$ satisfying $\sum_{i=1}^{n} \sin \theta_{i} \leqslant 1$. Try to find the maximum value of $\prod_{i=1}^{n} \tan \theta_{i}$. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Please critique whether the following solution to the question is correct.
Question:
Let $f$ be an analytic function defined on the unit disc $D=\{z:|z|<1\}$. If $|f(z)|\leq 1-|z|$ for all $z\in D$, show that $f$ is a zero function on $D$.
Solution:
For a function $f$ analytic on the open disc $D$, define $$M_f(r)=\m... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
The response must contain at least 29 placeholders represented by square brackets, such as [address]. Wie wird das Wetter heute in München? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | ifeval |
In front of you are some buttons, a light, and a number. The light will toggle between red and green whenever you press a button. Each button performs a mathematical operation to the number, but the operation may depend on the state of the light.
You must press the shortest correct sequence of buttons to reach the targ... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | reasoning_gym |
Si prega di redigere un articolo accademico sull'impatto del Sistema Socialista Cinese con Caratteristiche Cinesi, il quale consiste nell'ascesa della Cina come leader globale nel settore dell'innovazione e della tecnologia. | m-a-p/DeepWriting-20K | it | Non-Science & Non-Engineering Scholarly Paper Writing |
How many positive perfect square integers are factors of the product $\left(2^{10}\right)\left(3^{12}\right)\left(5^{15}\right)$? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
(Example 3 Given that the function $y=f(x)$ has an inverse function within its domain $(-\infty, 0]$, and $f(x-1)=x^{2}-2 x$, find the value of $f^{-1}\left(-\frac{1}{2}\right)$. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Please critique whether the following solution to the question is correct.
Question:
Find a basis for the null space of the following matrix (round your answer to three decimal places):
$\left(
\begin{array}{cccc}
7 & 10 & 5 & -6 \\
\end{array}
\right)$.
Solution:
To find the null space of a matrix, we need to solve ... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
make a complete list of all things needed for world building. including but not limited to characters, settings, interactions, plots, and flow. | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
We often have to copy large volumes of information. Such operation can take up many computer resources. Therefore, in this problem you are advised to come up with a way to copy some part of a number array into another one, quickly.
More formally, you've got two arrays of integers a1, a2, ..., an and b1, b2, ..., bn of... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
以下のプロンプトに基づき、ファンタジー・冒険ジャンルの物語を執筆してください：
本物のベテラン冒険者を大衆から見分けるのは容易だ。ダンジョンの入り口に、輝く武器と磨き上げた鎧を身に着けて現れる者を恐れることはなく、恐れるべきは町で買い物を終えてからわずか5分しか経っていないような普段着の姿で現れる者たちなのだ。 | m-a-p/DeepWriting-20K | ja | Artistic - Creative & Narrative Writing |
Six small circles, each of radius $3$ units, are tangent to a large circle as shown. Each small circle also is tangent to its two neighboring small circles. What is the diameter of the large circle in units? [asy]
draw(Circle((-2,0),1));
draw(Circle((2,0),1));
draw(Circle((-1,1.73205081),1));
draw(Circle((1,1.73205081)... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
【Question 3】
In a math competition, the average score of boys in a class is 73 points, and the average score of girls is 77 points, with the overall average score of the class being 74 points. It is also known that there are 22 more boys than girls. Therefore, the total number of students in the class is $\qquad$ peopl... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
请根据以下信息为用户规划吃药时间表，并确保所有药物的服用时间不冲突：
- 药品A：每日三次，每次2片，饭前半小时服用。
- 药品B：每日一次，早上服用，需随餐服用。
- 药品C：每晚睡前服用1片。
用户有一个固定的三餐时间：
- 早餐：7:30
- 午餐：12:30
- 晚餐：18:30
请根据以上信息为用户生成详细的每日吃药时间表，并添加以下条件：
1. 如果某种药物说明书上标明了停止用药的时间，则：
- 如果用户正好在用药停止日当天，则提醒用户当天是最后一天服药。
- 如果用户的用药停止时间已过，请提醒用户停止服药。
2. 请根据以下三个假设用户的用药停止时间生成相应的提醒：
- 药品A的使用期至7月... | m-a-p/DeepWriting-20K | zh | Ordinary Life - Practical & Real-World Guidance |
Scrivi una storia che rientri nei generi Fantasy e Avventura, basandoti sul seguente prompt:
Sei un viaggiatore che giunge in una città in cui esistono maghi molto potenti. Più un mago è potente, meno gli altri maghi riescono a percepirlo mentre lancia incantesimi. Inizi a esibire alcuni trucchi con le carte agli abita... | m-a-p/DeepWriting-20K | it | Artistic - Creative & Narrative Writing |
[asy] draw((0,0)--(0,3)--(4,0)--cycle,dot); draw((4,0)--(7,0)--(7,10)--cycle,dot); draw((0,3)--(7,10),dot); MP("C",(0,0),SW);MP("A",(0,3),NW);MP("B",(4,0),S);MP("E",(7,0),SE);MP("D",(7,10),NE); [/asy]
Triangle $ABC$ has a right angle at $C, AC=3$ and $BC=4$. Triangle $ABD$ has a right angle at $A$ and $AD=12$. Points $... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Write a story that falls into the genre of Comedy, Crime, based on the following prompt:
"so you are telling me, that you, a super genius super villain, is just here to rob the bank, no deep plot or philosophical metaphor about society, you just want the money?"the hero asks, "thank god" | m-a-p/DeepWriting-20K | en | Artistic - Creative & Narrative Writing |
Simplify first, then evaluate: $(1-\frac{2}{x+1})÷\frac{x^2-1}{2x+2}$, where $x=\pi ^{0}+1$. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
1. Let $O_{1}$ and $O_{2}$ be concentric circles with radii 4 and 6 , respectively. A chord $A B$ is drawn in $O_{1}$ with length 2. Extend $A B$ to intersect $O_{2}$ in points $C$ and $D$. Find $C D$. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Please critique whether the following solution to the question is correct.
Question:
In the context of category theory, what is the precise meaning of the statement "the function set $\text{Hom}(X,Y)$ is the exponential of the sets $X$ and $Y$"? What kind of uniqueness exists in this context? Are all sets that are iso... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
(3) The minimum value of the function $y=\sin ^{4} x+2 \sin x \cos x+\cos ^{4} x$ is | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
5. If $\left\{\begin{array}{l}4 x-3 y-6 z=0 \\ 6 x+5 y-28 z=0\end{array}(x y z \neq 0)\right.$, then $\frac{21 x+24 y-15 z}{3 x+4 y+7 z}=$ | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Please help me design a lesson plan for probability and statistics following the format of [Teaching Objectives]
(1) Understand the fundamental concepts of probability
(2) Master the basic probability formulas and correctly apply them to solve problems
(3) Develop students' logical thinking through probability experime... | m-a-p/DeepWriting-20K | en | Education & Teaching |
设计一份国际环保合规协议模板，适用于跨国企业在不同国家开展业务时的环境责任与合规管理。该协议应明确企业在全球不同环境法规体系下的责任边界，特别是针对污染控制、资源利用和碳排放等方面的合规要求。如果用户企业属于特定行业（如制造业、采矿业或化工行业），则需要详细说明该行业特有的环保合规义务和跨境环保监管规定。协议中应包括环境争议解决机制（如环境仲裁或多边协商程序）以及不同国家环保法规冲突时的处理原则。此外，协议须结合用户企业的实际运营经验，例如以往在特定国家遇到的环保挑战或合规难题。最后，确保该协议在环保术语、法律表述和行业实践上精确无误，适合在国际环保合规管理中使用。 | m-a-p/DeepWriting-20K | zh | Finance & Business - Operational Communication & Agreements |
发电有限公司年度教育培训工作总结 | m-a-p/DeepWriting-20K | zh | Finance & Business - Reporting & Performance Review |
過去5年分（2018年～2022年）の財務データに基づき、電気自動車市場における潜在的な投資対象としてテスラ（Tesla, Inc.）とNIO（NIO Inc.）を分析・比較せよ。
テスラ（Tesla, Inc.）
1. 売上高（10億米ドル）
2018年：21.46
2019年：24.58
2020年：31.54
2021年：53.82
2022年：81.46
2. 純利益/純損失（10億米ドル）
2018年：-0.98
2019年：-0.86
2020年：0.72
2021年：5.52
2022年：12.56
3. 負債資本比率
2018年：2.03
2019年：1.63
2020年：0.60
2021年：0.31
202... | m-a-p/DeepWriting-20K | ja | Finance & Business - Strategic Planning and Analysis |
Dovresti scrivere un articolo completo sul seguente argomento, assicurandoti di utilizzare le parole chiave fornite.
[Argomento]: Esplorazione oceanica
[Parole chiave]: ['Sottomarino', 'Barriera corallina', 'Fosse marine', 'Biologia marina']
[Requisiti]:
1. L'articolo deve essere sufficientemente dettagliato da coprire... | m-a-p/DeepWriting-20K | it | Artistic - Creative & Narrative Writing |
Express the sum of fractions $\frac{3}{8} + \frac{5}{32}$ as a decimal. | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
You should write a detailed response to the following question on Science.
[Question]: Do black holes actually destroy matter, or is the matter transformed in some way?
[Requirements]:
1. The answer should be long enough to provide a comprehensive response. | m-a-p/DeepWriting-20K | en | Science & Engineering - Analytical Writing |
Scrivi una storia che rientri nei generi Orrore, Mistero e Avventura, basandoti sul seguente spunto:
Il capitano di una nave da carico nota una piccola zattera di salvataggio alla deriva in mezzo all'oceano e devia la nave per indagare. Sembra che ci possa essere una persona a bordo, quindi la issano a bordo, ma c'è qu... | m-a-p/DeepWriting-20K | it | Artistic - Creative & Narrative Writing |
Please critique whether the following solution to the question is correct.
Question:
Find the cross product of the following vectors:
$\vec{a} = \left(
\begin{array}{c}
-\frac{7}{4} \\
\frac{9}{4} \\
\frac{13}{2} \\
\end{array}
\right)$ and
$\vec{b} = \left(
\begin{array}{c}
-\frac{37}{4} \\
-\frac{115}{16} \\
\frac{6... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | no_verification |
Below is a piece of cpp code. Your job is to predict the print output of the function main given an input, which is a json-serializable dict. Here is the input:
case1
Return the output dict as a json inside a json with the key 'code_output'. Here is the code:
```cpp
#include <bits/stdc++.h>
using namespace std;
int... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | code_output_prediction |
Suppose the point $(1,2)$ is on the graph of $y=\frac{f(x)}2$. Then there is one point which must be on the graph of $y=\frac{f^{-1}(x)}{2}$. What is the sum of that point's coordinates? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Triangle $ABC$ has side-lengths $AB = 12, BC = 26,$ and $AC = 18.$ The line through the incenter of $\triangle ABC$ parallel to $\overline{BC}$ intersects $\overline{AB}$ at $M$ and $\overline{AC}$ at $N.$ What is the perimeter of $\triangle AMN?$ | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
How many ways are there to insert +'s between the digits of 111111111111111 (fifteen 1's) so that the result will be a multiple of 30? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if at most one of the triplets is in the starting lineup? | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | verifiable_math |
Scrivi una storia che rientri nel genere Horror e Mystery, basata sul seguente prompt: «Senti, voi consumate ritualmente la carne e il sangue di un semidio martirizzato in una stanza piena di anziani che intonano litanie. Non avete alcun diritto di chiamare la nostra religione primitiva e malvagia.» | m-a-p/DeepWriting-20K | it | Artistic - Creative & Narrative Writing |
Below is a piece of js code. Your job is to predict the output of the function transformData given an input, which is a json-serializable dict. Here is the input:
['x', 'y', 3]
Return the output dict as a json inside a json with the key 'code_output'. Here is the code:
```js
export const transformData=(function(){va... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | code_output_prediction |
You should write a detailed response to the following question on literature.
[Question]: Why are books so boring nowadays? Modern novels are all about dystopian futures or romance triangles, authors just copy each other's ideas, and most lack the depth of classic literature. The great classics actually challenge your ... | m-a-p/DeepWriting-20K | en | Artistic - Analytical & Critical Writing |
Title: Tree and Queries
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have a rooted tree consisting of *n* vertices. Each vertex of the tree has some color. We will assume that the tree vertices are numbered by integers from 1 to *n*. Then we represent the color of vertex *v* as *c**... | PrimeIntellect/SYNTHETIC-2-SFT-verified | en | prime_rl_code |
End of preview. Expand in Data Studio
crucible
A mixed prompt dataset combining reasoning and creative writing, for model distillation.
Total prompts: 37,460
By task type
| task_type | rows |
|---|---|
| verifiable_math | 10,736 |
| Artistic - Creative & Narrative Writing | 7,503 |
| no_verification | 3,055 |
| prime_rl_code | 2,585 |
| ifeval | 1,794 |
| code_output_prediction | 1,712 |
| complex_json_output | 1,105 |
| Finance & Business - Strategic Planning and Analysis | 868 |
| reasoning_gym | 835 |
| Science & Engineering - Analytical Writing | 826 |
| Education & Teaching | 529 |
| Artistic - Essay Writing & Topic/Argument Writing | 521 |
| Non-Science & Non-Engineering Scholarly Paper Writing | 508 |
| Science & Engineering - Technical Research Writing | 495 |
| Artistic - Analytical & Critical Writing | 486 |
| Advertising & Marketing - Content Writing | 443 |
| Ordinary Life - Practical & Real-World Guidance | 431 |
| Artistic - Scriptwriting for Media & Performance | 390 |
| Ordinary Life - Analytical & Creative Reasoning | 312 |
| unscramble_sentence | 293 |
| Finance & Business - Proposals & Persuasion | 291 |
| pydantic_adherance | 289 |
| Law - Legal Guidance & Analysis | 241 |
| Finance & Business - Reporting & Performance Review | 209 |
| Ordinary Life - Factual QAs | 189 |
| Science & Engineering - Engineering Report Writing | 162 |
| Advertising & Marketing - Promotional Writing | 120 |
| Politics | 119 |
| Finance & Business - Operational Communication & Agreements | 105 |
| Others | 104 |
| Advertising & Marketing - Brand Strategy & Identity | 81 |
| Law - Judicial & Procedural Documents | 67 |
| ascii_tree_formatting | 25 |
| Advertising & Marketing - Customer Review & Feedback | 20 |
| Science & Engineering - Patent Writing | 11 |
By language
| lang | rows |
|---|---|
| en | 27,883 |
| de | 1,948 |
| fr | 1,947 |
| ja | 1,945 |
| it | 1,944 |
| zh | 1,793 |
Sources
- PrimeIntellect/SYNTHETIC-2-SFT-verified — https://huggingface.co/datasets/PrimeIntellect/SYNTHETIC-2-SFT-verified
- m-a-p/DeepWriting-20K — https://huggingface.co/datasets/m-a-p/DeepWriting-20K
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