token_count int32 48 481k | text stringlengths 154 1.01M | score float64 3.66 5.34 |
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352 | Space is a fascinating place that you have just begun to explore. However, there are eight planets in our Solar System, but astronomers do believe that there are almost billions or even trillions of other planets that are a part of other solar systems in other galaxies.
Here is some amazing facts about the space that w... | 3.671875 |
429 | # How do you solve abs(5x + 10) - 15 = 20?
Aug 2, 2015
$x = - 9 , 5$
#### Explanation:
Rearrange the equation:
$| 5 x + 10 | - 15 = 20$
=>
$| 5 x + 10 | = 35$
Because of the modulus there are two solutions, the first:
$5 x + 10 = 35$ => $x = 5$
The second:
$5 x + 10 = - 35$ => $x = - 9$
Aug 2, 2015
$x = - 9... | 4.65625 |
6,618 | This we believe: The school environment is inviting, safe, inclusive, and supportive of all.
According to a nationally representative survey conducted by the National Institute of Child Health and Human Development (NICHD, 2001), approximately 30 percent of American school children in grades 6 through 10 have been bull... | 3.796875 |
591 | Jordan12
# 6 Facts About Resources Everyone Thinks Are True
How To Better Understand The Basics Of Working With Fractions
Dealing with numbers is always a challenge even when you are young, and for some doing math and its calculation is something that is characterized with deep analytical thinking and problem solvin... | 4.625 |
580 | Black British Woman is a term which has a racial link to it. Generally it has been often used to refer to any non-white British woman. This term was first used at the fag end of the British Empire, when numerous colonies gained independence and thereby created a new form of national identity. At that time this term was... | 3.84375 |
880 | Honey is a natural sweetener and resistant to microorganism growth, so it should be ideal to make fresh, nutritious hummingbird nectar, right? Wrong! While honey can be delicious, using it in nectar can be dangerous and even fatal to hummingbirds
Honey is a thick, viscous, syrupy liquid produced by insects that break d... | 3.78125 |
680 | Math and Arithmetic
Algebra
Calculus
# What is X squared equals 3X?
012
###### 2013-01-10 16:21:07
It is a quadratic equation in X.
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## Related Questions
3x squared - x squared = 2x squared
9x2 + 3x / 3x equals (3x + 1).9x2 + 3x divided by x is 9x + 3 , and then divided by 3 yields th... | 4.4375 |
547 | # Measures of Position in Statistics
In the last tutorials, we have learned about the measures of location and dispersion in detail. In this tutorial, we will learn about the measures of position – another technique for measuring dispersions.
Although the standard deviations are the widely used measure of dispersion ... | 4.625 |
951 | How do you find the x and y intercepts on a graph?
How do you find the x and y intercepts on a graph?
To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.
What is the x-intercept in a formula?
To find the x-intercept o... | 4.8125 |
453 | # How do you graph y=-x^2+4?
Apr 12, 2017
Point plotting or finding the vertex and axis of symmetry
#### Explanation:
Point plotting:
Create a table of $x$ and $y$ values.
Since $x$ is the independent variable in the equation ($y$ depends on the $x$ variables selected), you can select any $x$ value and find the co... | 4.8125 |
569 | Manufacturing materials are undergoing a huge change, particularly with the advent of composite materials that include components such as carbon fibre and graphene.
Composite materials have been around since mud and straw were mixed together to build ancient bricks. Concrete and fibreglass are also among the long line ... | 3.75 |
4,902 | Randomness is the lack of pattern or predictability in events. A random sequence of events, symbols or steps has no order and does not follow an intelligible pattern or combination. Individual random events are by definition unpredictable, but in many cases the frequency of different outcomes over a large number of eve... | 4 |
272 | Optional resources - Week 4
Here are some resources to help you develop your range of questioning techniques. Most of them can be found on the National STEM Learning Centre website. Sometimes registration is required to access specific files - this is quick and easy (and indicated below).
There’s a lot here that you co... | 3.890625 |
1,073 | A clinical trial is a carefully designed research study that uses volunteers to answer specific health questions, such as whether a medication, device or other intervention can improve health outcomes. The study protocol states the study’s purpose, goals of discovery and exactly how the research process must be impleme... | 3.765625 |
151 | Diglossia is a situation where a language that has two forms, one a ‘higher' and more prestigious form used by educated speakers in formal situations, and the other a ‘lower', vernacular form used more commonly. Although English is not a diglossic language, it does have a wide variety of dialects, colloquial forms and ... | 3.703125 |
1,150 | Authors: D. M. Christodoulou, S. G. T. Laycock, D. Kazanas
First Author’s Institution: Lowell Center for Space Science and Technology, University of Massachusetts Lowell, USA
Status: Accepted to MNRAS, open access
What are Be/X-ray Binaries?
Stars are like people — they act very different in company from the way they a... | 3.765625 |
754 | Most South Floridians live on porous limestone rock blanketed with a few inches of soil, mere feet above sea level. This, coupled with gradually rising seas, has caused property owners to be rightfully concerned about flooding and property loss.
Over the past 100 years, sea level has risen approximately 8 inches global... | 3.859375 |
966 | # CAT 2021 Set-2 | Quantitative Aptitude | Question: 6
1 vote
47 views
For a real number $x$ the condition $|3x – 20| + |3x – 40| = 20$ necessarily holds if
1. $9 < x < 14$
2. $6 < x < 11$
3. $7 < x < 12$
4. $10 < x < 15$
retagged
1 vote
Given that, $|3x-20| + |3x-40| = 20 ; x \in \mathbb{R} \quad \longrightarrow ... | 4.5625 |
685 | Courses
Courses for Kids
Free study material
Offline Centres
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Store
# The position x of a particle varies with time according to the relation $x={{t}^{3}}+3{{t}^{2}}+2t$. Find velocity and acceleration as functions of time.
Last updated date: 18th Sep 2024
Total views: 469.2k
Views today: 9.69k
Verified
469.2k+ v... | 4.5625 |
265 | It is important to understand that we receive huge amounts of information through the senses of vision, hearing, touch, smell, taste and balance. The brain receives about 11 million bits of information each and every second of our waking day. However, we can only pay attention to around 70 to 80 bits per second, so one... | 4.1875 |
1,679 | o Early Vedic Religion
o Birth of Hinduism
o Modern Hinduism
o Life and Philosophy of Buddha
o Forms of Buddhism
o Blurring Distinctions between Hinduism and Buddhism
o Religion and Government
Over time the beliefs of the Vedas transformed into a new religion called Hinduism. Some scholars believe that the evolvement o... | 3.765625 |
487 | ### Theory:
The reduction in market price to increase the sale or to dispose of old goods is known as a discount.
Usually, discounts are express as a percentage of the marked price.
The customer or buyer pays the difference between the marked price and the discounted price.
Thus, we have $\mathit{Discount}\phantom{\... | 4.53125 |
428 | In addition to learning the alphabet and how books work, the path to reading and writing begins with talking! Research has revealed that there is a direct relationship between reading achievement and a child's level of vocabulary. When children learn to read, they draw upon the words they know and hear to make sense of... | 4.15625 |
513 | Boston Tea Party
May 10, 1773: Parliament passes the Tea Act;
December 16, 1773: Boston Tea Party;
On May 10, 1773, Parliament passed the Tea Act. The Tea Act was meant to save the East India Tea Company from bankrupcy. It allowed the East India Tea Company to send half a million pounds of tea to America subject only t... | 3.78125 |
844 | Lesson 2 of 10
by Debi West
Elements! Principles! Media! Art History! Techniques! Careers! In Gwinnett County, art educators have so many objectives to teach students that it can often feel daunting, especially when we consider the vast amount of art vocabulary they are required to master by the time final exams roll a... | 3.796875 |
886 | What are Sequences in Music?
A sequence is the “more or less exact repetition of a passage at a higher or lower level of pitch”. (The Oxford Dictionary of Music, Kennedy, M.).
I am going to explain sequences in music by showing/playing you various examples.
Have a look/listen to the following example of a sequence:
Thi... | 3.75 |
2,429 | As a candidate for the presidency in 1968, Richard Nixon campaigned in part on a promise to end the war in Vietnam. This speech, delivered eleven months after his inauguration, provided the details of his plan to withdraw the United States from the conflict. Although the military situation had improved for U.S. and Sou... | 3.8125 |
726 | Independence Day has a special place in my heart. The American Revolution was the core area of focus of my bachelors degree and is a passion that has continued post-collegiate studies. I’m so enamored by the romance of the time. People giving passionate, eloquent speeches about liberty and unalienable rights – ugh! I j... | 3.703125 |
215 | The exact cause of most mental illnesses is not known, but research suggests that a combination of the following factors may be involved.
- Heredity (genetics): Mental illness tends to run in families, which means the likelihood to develop a mental disorder may be passed on from parents to their children.
- Biology: So... | 3.734375 |
979 | ## ◂Math Worksheets and Study Guides Kindergarten. Whole Numbers
### The resources above correspond to the standards listed below:
#### Ohio Common Core Standards
OH.CC.CC.K. Counting and Cardinality
Compare numbers.
CC.K.6. Identify whether the number of objects in one group is greater than, less than, or equal to ... | 4.4375 |
305 | Kwanzaa centers around Seven Principles, Nguzo Saba (En-GOO-zoh Sah-BAH), which represent the values of family, community and culture for Africans and people of African descent to live by. The principles were developed by Kwanzaa founder Dr. Maulana Karenga based on the ideals of the first-fruit harvests.
The principle... | 3.671875 |
566 | Memoni Grammar and Sentence Structure
It is generally recognized that the Memoni language is originate from an ancient Sindhi which is belongs to an Indo-Iranian (North-Western Zone) family of languages.
Like many Indian languages, Memoni nouns are either masculine or feminine and they could have singular and plural fo... | 3.828125 |
555 | The exact origins of the Nauruans are unclear since their language does not resemble any other in the Pacific. Germany annexed the island in 1888. A German-British consortium began mining the island's phosphate deposits early in the 20th century. Australian forces occupied Nauru in World War I; it subsequently became a... | 3.796875 |
1,373 | Future Value of Sum with Continuous Compounding
Simple interest is easy to compute, but most of the time, we want our interest payments to be reinvested. For example, if you put money into your bank savings account, the bank routinely deposits the monthly or quarterly interest payments back into your account. During f... | 4.625 |
1,078 | Birds have been dealing with hurricanes for millions of years and have developed a remarkable ability to survive. Whether it is a type of ESP (extra sensory perception) or not, birds process acute sensory perceptions and sensitivities to changes in air pressure, vibrations and low frequency sound waves that alert them ... | 3.65625 |
3,037 | Education
### Locating the Major Axis of an Ellipse: How-To Guide
You may be thinking, ‘Locating the major axis of an ellipse sounds complicated and time-consuming.’ But fear not, because with this step-by-step guide, you’ll be able to easily determine the major axis of an ellipse in no time.
Whether you’re a mathem... | 4.53125 |
1,015 | # How does the force of attraction between electric charges increase?
Contents
In electrostatics, the electrical force between two charged objects is inversely related to the distance of separation between the two objects. … And decreasing the separation distance between objects increases the force of attraction or r... | 4.46875 |
1,138 | Bound Neutrons Pave Way to Free Ones
NEWPORT NEWS, VA. - A study of bound protons and neutrons conducted at the Department of Energy's Thomas Jefferson National Accelerator Facility has allowed scientists, for the first time, to extract information through experimentation about the internal structure of free neutrons, ... | 3.875 |
243 | It is about identifying with the feelings of others and especially with their suffering.
Compassion is rooted in empathy.
It begins by recognising in ourselves the emotions that others are feeling and how we would feel in the same circumstance, in other words we get to manage our emotions in relation to that of other p... | 4.09375 |
End of preview. Expand in Data Studio
DraftWeb-v1 Dataset Card
Dataset Description
A large-scale dataset created by combining educational mathematics problems and web content to create a continued pretraining dataset for LLMs. The dataset contains 2,000,000 high-quality examples sorted by content relevance scores.
Data Source
- Math Content: Hugging Face
finemath-4plusdataset (educational math problems) - Web Content: Hugging Face
fineweb-edudataset (web pages from Common Crawl)
Training Data
- 1,000,000 math examples with token counts
- 1,000,000 web examples with token counts
- Combined and shuffled for model training
Dataset Statistics
- Total Examples: 2,000,000
- Total Tokens: 2.7 billion
- Math Token Count: 1.61 billion
- Web Token Count: 1.11 billion
- Languages: English (primary)
- Content Types: Text-based math problems and web pages
Data Processing
- Removed non-essential metadata columns
- Standardized token count measurement
- Sorted by source dataset scores (descending)
- Selected top 1 million examples from each source
- Combined and shuffled for model training
Usage
- Fine-tuning foundation language models
- Instruction tuning for educational applications
- Web content understanding tasks
- Research in educational AI systems
Licensing
- Inherits licenses from source datasets:
finemath-4plus: CC BY 4.0fineweb-edu: CC BY-SA 4.0
- For commercial use, please verify specific license requirements
Evaluation
- Original datasets contained quality scores used for selection
- Recommended evaluation metrics:
- Text quality scoring
- Relevance prediction accuracy
- Downstream task performance (e.g., question answering)
Dataset Provenance
- Hosted on Hugging Face Hub:
qingy2024/DraftWeb-v1 - Creation date: July 14, 2025
- Version: 1.0
Dataset Expansion
- Potential future versions:
- Multilingual expansion
- Specialized domain versions
- Time-based snapshots
- Downloads last month
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