url stringlengths 8 503 | fetch_time int64 1,368,861,715B 1,726,892,283B | content_mime_type stringclasses 3
values | warc_filename stringlengths 108 138 | warc_record_offset int32 958 1.44B | warc_record_length int32 724 757k | text stringlengths 116 913k | token_count int32 49 349k | char_count int32 116 913k | metadata stringlengths 439 443 | score float64 3.5 5.09 | int_score int64 4 5 | crawl stringclasses 93
values | snapshot_type stringclasses 2
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value | language_score float64 0.09 1 | backtracking_raw stringlengths 0 11.2k | verification_raw stringlengths 0 17.4k | subgoal_setting_raw stringlengths 0 20.4k | backward_chaining_raw stringlengths 0 12.3k |
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http://bryceautomation.com/index.php/2017/07/10/binary-numbering-system/ | 1,620,535,613,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243988955.89/warc/CC-MAIN-20210509032519-20210509062519-00213.warc.gz | 10,493,967 | 20,439 | # Binary Numbering System 1
## Introduction to the Binary numbering system
Simply put, binary is a base 2 numbering system. The only numbers available for use to count in binary are 1, and 0. You can think of this in many ways: True/False, Yes/No, or High/Low. Computers work by using the Binary numbering sys... | 1,010 | 3,303 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.71875 | 5 | CC-MAIN-2021-21 | latest | en | 0.902068 | user
## Thoughts
The provided text is an explanation of the binary numbering system and does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a differen... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | userSupportedContent
2 | userValueHandling缺失结束标签。请确保每个开始标签都有相应的结束标签。 |
https://tradenmtvwhtn.netlify.app/stolzenberg4210ke/the-future-value-of-an-annuity-factor-for-2-periods-is-equal-to-jiq.html | 1,723,623,111,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641104812.87/warc/CC-MAIN-20240814061604-20240814091604-00882.warc.gz | 471,093,478 | 11,771 | ## The future value of an annuity factor for 2 periods is equal to
type - 0, payment at end of period (regular annuity). With this information, the future value of the annuity is \$316,245.19. Note payment is entered as a negative number, so the result is positive. Annuity due. An annuity due is a repeating payment ma... | 2,359 | 10,280 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.21875 | 4 | CC-MAIN-2024-33 | latest | en | 0.946654 | user););
SupportedContent ends here. | userFilterWhere did you find any verification steps in the provided text? Please follow the format given in the instruction. | userHeaderCodegenthink
The provided text is a collection of information about annuities, future value, present value, and related financial concepts. It does not contain any explicit subgoal setting where the writer breaks down a problem into smaller, intermediate goals. The text is more descriptive and explanatory in ... | userHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode MissingHeaderCode... |
https://tracks-movie.com/how-much-current-can-give-you-a-shock/ | 1,708,714,866,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474445.77/warc/CC-MAIN-20240223185223-20240223215223-00076.warc.gz | 601,559,849 | 12,220 | # How much current can give you a shock?
## How much current can give you a shock?
Any electrical device used on a house wiring cir cuit can, under certain conditions, transmit a fatal current. While any amount of current over 10 milli- amperes (0.01 amp) is capable of producing painful to severe shock, currents betw... | 1,041 | 4,672 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.671875 | 4 | CC-MAIN-2024-10 | latest | en | 0.912764 | assistant## Thoughts
The provided text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is informative and does not show any backtracking behavior.
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | assistant## Thoughts
The provided text is informational and focuses on explaining the effects of electrical currents and voltages on the human body. It does not contain any explicit verification steps where the writer checks their own work or results.
## Does verification?
no
## Number of answer verification steps
<c... | assistant## Thoughts
The text provided is a collection of various facts and explanations about electrical currents, voltages, and their effects on the human body. It does not contain any explicit breakdown of a problem into smaller, intermediate goals or steps. The information is presented in a descriptive manner witho... | assistant## Thoughts
The provided text is informational and does not contain any backward-chaining behavior. It explains various aspects of electrical currents and their effects on the human body, but does not start from a goal and work backward to achieve it.
## Does the text exhibit backward chaining?
no
## Number ... |
http://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.23176.html | 1,369,197,644,000,000,000 | text/html | crawl-data/CC-MAIN-2013-20/segments/1368701314683/warc/CC-MAIN-20130516104834-00095-ip-10-60-113-184.ec2.internal.warc.gz | 319,738,443 | 5,233 | # SOLUTION: I can't figure out these problems i keep getting different answers everytime i solve them. Identify the type of system of equations for the system below: 2y=4-6x 3y+9x=6
Algebra -> Algebra -> Coordinate Systems and Linear Equations -> SOLUTION: I can't figure out these problems i keep getting different a... | 518 | 1,979 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.09375 | 4 | CC-MAIN-2013-20 | latest | en | 0.895514 | assistant ## Thoughts
The text provided does not contain any explicit instances of the writer realizing a path won't work and going back to try a different approach. The text is more about providing advice and explanations rather than showing a process of solving a problem with backtracking.
## Does backtrack?
no
## ... | assistant ## Thoughts
The text provided does not contain any explicit verification steps where the writer checks their work by comparing results to known values or testing formulas with simple cases. The text is more about providing advice and methods for solving systems of equations rather than verifying the correctne... | assistant ## Thoughts
The text provided does not contain any explicit subgoal setting. The text is a question and a couple of answers regarding the identification of the type of system of equations. The answers do not break down the problem into smaller, intermediate goals but rather provide general advice or a method ... | assistant ## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The text is a question and a couple of answers regarding the identification of the type of system of equations. The answers provided do not start from the goal and work backward but rather suggest methods to identify t... |
https://mathhelpforum.com/threads/volume-of-solid-revolution.132901/ | 1,571,849,036,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987834649.58/warc/CC-MAIN-20191023150047-20191023173547-00143.warc.gz | 582,973,725 | 13,881 | # volume of solid revolution
#### sean123
Find the volume if the area bounded by the curve y=x^3, and the lines x=0 and y=8 when it is rotated with respect to the line x=5
#### HallsofIvy
Find the volume if the area bounded by the curve y=x^3, and the lines x=0 and y=8 when it is rotated with respect to the line x=... | 209 | 712 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.859375 | 4 | CC-MAIN-2019-43 | latest | en | 0.907991 | assistant```markdown
## Thoughts
The text provided does not contain any explicit indication of the writer realizing a mistake or needing to go back to try a different approach. The response from HallsofIvy is a straightforward explanation of how to approach the problem of finding the volume of a solid of revolution. Th... | assistant```markdown
## Thoughts
The provided text does not contain any explicit verification steps. The response by HallsofIvy provides a method to calculate the volume of the solid of revolution but does not include any steps to verify the correctness of the method or the result.
## Does verification?
no
## Number ... | assistant```markdown
## Thoughts
The text provided by HallsofIvy does not explicitly break down the problem into smaller, intermediate goals. Instead, it provides a conceptual explanation of how to approach the problem by describing the geometry of the situation and suggesting to think of the region as a series of thin... | assistant```markdown
## Thoughts
The provided text does not exhibit backward-chaining behavior. The explanation given by HallsofIvy describes the method to calculate the volume of a solid of revolution by considering the geometry of the problem and setting up the integral to solve it. There is no indication of starting... |
https://www.coursehero.com/file/18836/92-93-solutions/ | 1,544,789,263,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376825728.30/warc/CC-MAIN-20181214114739-20181214140239-00098.warc.gz | 845,882,017 | 41,718 | 9.2-9.3 solutions
# 9.2-9.3 solutions - Now we want to sum the alternating...
• Notes
• 9
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This preview has intentionally blurred sections. Sign up to view the full vers... | 3,406 | 7,846 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.953125 | 4 | CC-MAIN-2018-51 | latest | en | 0.797683 | assistant## Thoughts
The provided text does not contain any explicit statements indicating that the writer has realized a path won't work and is going back to try a different approach. There are no phrases like "Let me try again," "Wait," "I made a mistake," or "we need to try a different sequence of operations." The t... | assistant## Thoughts
The provided text does not contain any explicit verification steps. It seems to be a fragment of a document or notes, possibly related to solutions for sections 9.2-9.3, but it does not include any steps where the writer checks their work or verifies the correctness of their solution.
## Does veri... | assistant ## Thoughts
The provided text does not contain any explicit subgoal setting. It seems to be a fragment of a document or notes, possibly from a textbook or a class, with indications of more content being available if one signs up. There are no clear steps or intermediate goals outlined for solving a problem or... | user2 |
https://www.teachstarter.com/us/teaching-resource/prime-numbers-ocean-themed-poster/ | 1,643,302,044,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320305277.88/warc/CC-MAIN-20220127163150-20220127193150-00711.warc.gz | 1,074,976,436 | 46,193 | teaching resource
# Prime Numbers - Ocean-Themed Poster
PDF | 1 page | Grades: 4 - 7
A number chart highlighting all of the prime numbers from 1–100.
Display this poster in your classroom when teaching students about prime numbers.
The poster includes a brief description and prime numbers from 1–100 highlighted in... | 520 | 2,252 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.125 | 4 | CC-MAIN-2022-05 | latest | en | 0.790362 | assistant ## Thoughts
The provided text is a description of a teaching resource for prime numbers, specifically an ocean-themed poster. The text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again," ... | assistant ## Thoughts
The provided text is a description of a teaching resource for prime numbers, specifically an ocean-themed poster. It does not contain any explicit steps for verifying answers or results. The text is informative and describes the content and usage of the poster but does not include any verification... | assistant ## Thoughts
The provided text is a description of a teaching resource for prime numbers, specifically an ocean-themed poster. It does not contain any explicit subgoal setting. The text describes the content of the poster and its educational purpose but does not break down any problem-solving process into smal... | assistant ## Thoughts
The provided text is a description of a teaching resource for prime numbers, specifically an ocean-themed poster that highlights prime numbers from 1 to 100. The text does not contain any reasoning or problem-solving process that starts from a goal and works backward. It is purely descriptive and ... |
https://www.physicsforums.com/threads/find-all-linear-transformations-which.745698/ | 1,726,705,647,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651944.55/warc/CC-MAIN-20240918233405-20240919023405-00150.warc.gz | 840,423,633 | 24,978 | # Find all linear transformations which
• brkomir
In summary: So, in summary, when solving for x in the equation ##f(z)=az+b##, it is necessary to check that:1.) the inequality ##f(z)>0## holds for all z such that ##y>0##2.)
brkomir
## Homework Statement
Find all linear transformations ##f(z)=az+b## which map half-p... | 4,410 | 14,274 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.75 | 4 | CC-MAIN-2024-38 | latest | en | 0.872291 | 500 | user
## Thoughts
The text provided is a discussion thread about finding all linear transformations that map the upper half-plane to itself. The participants are discussing the conditions on the coefficients of the linear transformation. There are no explicit verification steps where the participants check their work ag... | user
## Thoughts
The text does not contain any explicit subgoal setting. The writer is discussing a problem and its solution, but does not break down the problem into smaller, intermediate goals. Instead, the text is a series of comments and questions related to the problem, without a clear step-by-step plan.
## Does ... | assistant
## Thoughts
The text provided is a discussion on a complex analysis problem, specifically about finding all linear transformations that map a half-plane onto itself. The discussion revolves around the inequality involving the imaginary part of the transformed complex number. There is no clear indication of ba... |
https://www.coursehero.com/file/p379b22/condition-where-Q-is-zero-and-therefore-the-reaction-must-go-forward-to-make/ | 1,639,011,786,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964363641.20/warc/CC-MAIN-20211209000407-20211209030407-00066.warc.gz | 766,160,155 | 51,825 | # Condition where q is zero and therefore the reaction
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condition where Q is zero and therefore the reaction must go forward to make some C. The RICE table will help. Here is the table the way ... | 547 | 1,712 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4 | 4 | CC-MAIN-2021-49 | latest | en | 0.873461 | assistant```markdown
## Thoughts
The provided text does not contain any explicit instances of backtracking behavior. The text appears to be a series of correct answers and explanations for a chemistry homework problem involving RICE tables. There are no indications of the writer realizing a mistake, needing to try a di... | assistant ## Thoughts
The text provided is a series of explanations and answers to questions about a RICE table used in chemistry. It does not contain any explicit steps where the writer checks their work or verifies the correctness of the answers provided. The text is more focused on explaining the setup and filling i... | user | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... |
https://www.doubtnut.com/question-answer/the-equation-of-the-circle-whose-diameter-is-the-common-chord-of-the-circles-x2-y2-3x-2y-10-and-x2-y-42565 | 1,627,547,622,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046153854.42/warc/CC-MAIN-20210729074313-20210729104313-00381.warc.gz | 761,089,712 | 77,768 | Home
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# The equation of the circle whose diameter is the common chord of the circles; x^2+y^2+3x+2y+1=0 & x^2+y^2+3x+4y+2=0 is: x^2+y^2+8x+10 y+2=0 x^2+y^2-5x+4y+7=0 2x^2+2y^2+6x+2y+1=0 None of these
Step by step solutio... | 779 | 1,735 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.4375 | 4 | CC-MAIN-2021-31 | latest | en | 0.6042 | assistant ## Thoughts
The provided text is a step-by-step solution to a math problem involving finding the equation of a circle. The solution proceeds in a straightforward manner without any indication of the writer realizing a mistake or needing to go back to a previous step to try a different approach. There are no p... | user
## Thoughts
The provided text describes a step-by-step solution to find the equation of a circle given certain conditions. The solution involves finding the common chord of two given circles and then using the family of circles equation to find the required circle. However, the text does not explicitly mention any... | assistant ## Thoughts
The text describes a step-by-step solution to find the equation of a circle whose diameter is the common chord of two given circles. The solution involves several intermediate steps, such as finding the equation of the common chord, using the family of circles equation, and solving for the paramet... | assistant ## Thoughts
The provided text does not exhibit backward-chaining behavior. The solution provided is a step-by-step forward approach to solving the problem of finding the equation of a circle given certain conditions. It starts with the given equations of the circles, derives the common chord, and then uses th... |
https://mathemerize.com/formula-for-mode-with-examples/ | 1,713,265,545,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296817081.52/warc/CC-MAIN-20240416093441-20240416123441-00305.warc.gz | 358,398,618 | 32,121 | # Formula for Mode with Examples
Here you will learn what is the formula for mode of grouped and ungrouped data and how to find mode with examples.
Let’s begin –
## What is Mode ?
Mode is the size of the variable which occurs most frequently.
## Formula for Mode :
(i) For ungrouped distribution : The value of tha... | 566 | 1,744 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.59375 | 5 | CC-MAIN-2024-18 | longest | en | 0.849785 | user
## Thoughts
The provided text is a straightforward explanation of the formula for mode in different types of data distributions. There are no instances where the writer realizes a mistake or contradiction and decides to go back to try a different approach. The text does not contain any phrases like "Let me try aga... | user2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222... | assistant
## Thoughts
The text provides definitions and formulas for calculating the mode in different types of data distributions. It does not break down the process into smaller, intermediate goals for solving a problem or completing a task. Instead, it directly states the formula or method to find the mode in each c... | user
## Thoughts
The text provided is a description of the formula for mode in different types of data distributions. It does not exhibit any backward-chaining behavior. The text simply explains the concept of mode and provides formulas and examples for calculating the mode in ungrouped and grouped data. There is no in... |
https://testbook.com/question-answer/ram-sold-an-article-for-rs-1476-after-allowing-a--60583e9894ad2ecd4150267a | 1,632,351,899,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057403.84/warc/CC-MAIN-20210922223752-20210923013752-00303.warc.gz | 540,028,391 | 36,287 | # Ram sold an article for Rs.1,476, after allowing a 20% discount on its marked price. If he had not allowed any discount, he would have earned a profit of 24%. What is the cost price (in Rs) of the article (correct to two decimal places)?
This question was previously asked in
Delhi Police Constable Previous Paper 18 ... | 426 | 1,284 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.9375 | 4 | CC-MAIN-2021-39 | latest | en | 0.868149 | user567890 | assistant ## Thoughts
The provided text is a detailed solution to a math problem. It calculates the cost price of an article based on the given conditions. However, the text does not contain any explicit steps where the writer checks their work or verifies the solution against a known value or by reapplying the conditi... | assistant
## Thoughts
The text provided is a detailed solution to a math problem. It does not explicitly break down the problem into smaller, intermediate goals. Instead, it directly calculates the marked price and then the cost price using given formulas without setting out a step-by-step plan beforehand.
## Does sub... | assistant
## Thoughts
The solution provided does not start from the goal and work backward. Instead, it uses the given information to calculate the marked price and then the cost price in a forward manner. There is no instance where the writer assumes the final result and works backward to verify or derive the steps le... |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-1-section-1-5-prime-factorization-exercise-page-25/63 | 1,537,452,884,000,000,000 | text/html | crawl-data/CC-MAIN-2018-39/segments/1537267156513.14/warc/CC-MAIN-20180920140359-20180920160759-00031.warc.gz | 762,883,647 | 14,118 | ## Elementary Technical Mathematics
$2\times2\times3\times3\times7$
$2|\underline{252}$ last digit is even $2|\underline{126}$ last digit is even $3|\underline{\ \ 63}$ sum of digits is divisible by 3 $3|\underline{\ \ 21}$ sum of digits is divisible by 3 $\ \ \ \ \ \ \ 7$ | 87 | 274 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.671875 | 4 | CC-MAIN-2018-39 | longest | en | 0.608138 | 33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333... | 22255555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333... | user5555555552222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222... |
https://barisalcity.org/number-of-squares-in-a-grid/ | 1,653,665,069,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662658761.95/warc/CC-MAIN-20220527142854-20220527172854-00660.warc.gz | 177,706,575 | 4,801 | Is over there a formula to advice the variety of all squares in the $m \times n$ grid? Well, I"m simply curious, I"ve checked out the question choose this somewhere at the university, to solve this they were separating the grid with $m - 1$ and $n - 1$ lines...I don"t understand what"s next.
You are watching: Number o... | 578 | 1,952 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.71875 | 4 | CC-MAIN-2022-21 | latest | en | 0.818322 | user
## Thoughts
The text provided does not contain any explicit instances of the writer realizing a path won't work and going back to try a different approach. The writer presents a method for calculating the number of squares in an $m \times n$ grid and does not mention any errors or the need to change the approach.
... | user | user提供的文本中，作者描述了如何计算$m \times n$网格中的所有正方形数量。作者将问题分解为计算不同大小的正方形数量，然后将这些数量相加。这种分解问题的方法可以被视为一种子目标设置。
## Does subgoal setting?
yes
## Number of subgoal setting steps
<count> 1 </count> | ## Thoughts
The text provided does not contain any backward-chaining behavior. The text is a collection of formulas and results related to counting squares and rectangles in a grid, but it does not start from a goal and work backward to achieve it. Instead, it presents a series of calculations and formulas without show... |
https://www.physicsforums.com/threads/displacement-x-of-simple-harmonic-oscillation.552428/ | 1,585,394,750,000,000,000 | text/html | crawl-data/CC-MAIN-2020-16/segments/1585370491857.4/warc/CC-MAIN-20200328104722-20200328134722-00308.warc.gz | 1,141,738,229 | 16,258 | # Displacement x of simple harmonic oscillation
## Homework Statement
The amplitude of simple harmonic oscillation is A = 10 cm. Find a displacement x when K = 1/6 U. Here K is a kinetic energy and U is a potential energy.
## Homework Equations
$$KE = \frac{1}{2} k A^2$$
$$U = \frac{1}{2} k x^2$$
## The Attempt at... | 582 | 1,736 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.21875 | 4 | CC-MAIN-2020-16 | longest | en | 0.887598 | user
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The writer does not use phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a different sequence of operations". The writer does c... | user
## Thoughts
The text provided does not contain any explicit steps where the writer checks their work or verifies the correctness of their solution. The writer presents their calculations and the final answer but does not perform any verification steps such as substituting the answer back into the original equation... | user
## Thoughts
The text provided does not contain any explicit subgoal setting. The writer presents an attempt at solving a physics problem but does not break down the problem into smaller, intermediate goals. The solution is presented as a series of equations without any explicit mention of steps or subgoals.
## Do... | user
## Thoughts
The text does not exhibit backward-chaining behavior. The student starts with the given conditions and equations and attempts to solve for the displacement x. The process is forward, starting from the initial conditions and equations and moving towards the solution. The corrections and clarifications p... |
https://technicalmirchi.com/2023/06/23/40-liters-to-gallons.html | 1,695,511,589,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233506539.13/warc/CC-MAIN-20230923231031-20230924021031-00152.warc.gz | 626,933,456 | 9,253 | Intro text, can be displayed through an additional field
## 40 Liters To Gallons: A Comprehensive Conversion Guide
Converting units of measurement can often be confusing, especially when dealing with different systems. One such conversion that often perplexes many is the conversion from liters to gallons. In this art... | 806 | 3,838 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.71875 | 4 | CC-MAIN-2023-40 | latest | en | 0.926296 | assistant
## Thoughts
The text provided is a comprehensive guide on converting 40 liters to gallons. It does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is straightforward and does not exhibit any backtracking behavior.
## Does ba... | assistant
## Thoughts
The text provides a detailed explanation of converting 40 liters to gallons, including the definitions of liters and gallons, the conversion process, and the differences between US and Imperial gallons. However, there are no explicit steps where the writer checks their work or verifies the results... | assistant
## Thoughts
The text provides a step-by-step guide for converting 40 liters to gallons, breaking down the process into smaller, intermediate goals. It outlines the steps to decide on the type of gallon (US or Imperial) and then provides the specific conversion factors for each type.
## Does subgoal setting?
... | assistant ## Thoughts
The text provided is a guide on converting liters to gallons. It does not contain any backward-chaining behavior as described in the task. The text is informative and provides a straightforward explanation and steps for conversion without starting from a goal and working backward.
## Does the tex... |
https://scienceready.com.au/pages/progressive-and-standing-waves | 1,725,756,258,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700650926.21/warc/CC-MAIN-20240907225010-20240908015010-00783.warc.gz | 480,625,063 | 81,137 | # Progressive and Standing Waves
This topic is part of the HSC Physics course under the section Wave Behaviour.
### HSC Physics Syllabus
• conduct an investigation to distinguish between progressive and standing waves (ACSPH072)
• investigate and model the behaviour of standing waves on strings and/or in pipes to re... | 1,570 | 7,583 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.515625 | 4 | CC-MAIN-2024-38 | latest | en | 0.902455 | 2 | assistant```markdown
## Thoughts
The provided text is an educational piece on progressive and standing waves, detailing their characteristics, formation, and differences. The text does not contain any explicit verification steps where the author checks their work or results against known values or through further calcu... | 2 | assistant
## Thoughts
The provided text is an educational piece on progressive and standing waves, detailing their characteristics, formation, and differences. The text does not contain any reasoning that starts from a goal and works backward to achieve it. Instead, it provides a straightforward explanation and descrip... |
https://vyconvert.com/posts/You-can-convert-1-gram-to-1000-milligrams-by-using-this-simple-formula.html | 1,685,741,434,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224648858.14/warc/CC-MAIN-20230602204755-20230602234755-00281.warc.gz | 675,378,122 | 10,250 | # You can convert 1 gram to 1000 milligrams by using this simple formula:
Any seemingly simple conversion between units of measurement always turns out to be more involved than at first expected. Solving such equations requires knowledge of the appropriate formula and relationship. The steps can only be useful if the ... | 3,860 | 14,268 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.375 | 4 | CC-MAIN-2023-23 | longest | en | 0.937903 | assistant```markdown
## Thoughts
The text provided is a guide on how to convert grams to milligrams. It does not contain any instances where the writer realizes a mistake or contradiction in their approach and decides to backtrack to try a different method. The text is a straightforward explanation and does not involve... | user
## Thoughts
The text provides a detailed explanation of the conversion process from grams to milligrams, including definitions, the conversion factor, and several examples. However, the text does not contain any explicit verification steps where the writer checks their work by substituting values back into the ori... | user
## Thoughts
The text provides a guide on converting grams to milligrams, but it does not break down the process into smaller, intermediate goals. The text explains the conversion factor and provides examples, but it does not set explicit subgoals for solving the problem.
## Does subgoal setting?
no
## Number of ... | user"text
2 |
http://math.stackexchange.com/questions/52974/what-is-the-last-digit-of-pi/53013 | 1,369,034,134,000,000,000 | text/html | crawl-data/CC-MAIN-2013-20/segments/1368698493317/warc/CC-MAIN-20130516100133-00073-ip-10-60-113-184.ec2.internal.warc.gz | 165,712,810 | 14,202 | # What is the last digit of $\pi$?
I want to know: what is the last digit of $\pi$?
Some people say there are no such thing, but they fail to mention why.
-
Sometimes even rational numbers don't have a "last digit", think of 1/3=0.33333... – Vhailor Jul 21 '11 at 22:12
Nice Poem. ${}$ – jspecter Jul 21 '11 at 22:13
... | 1,429 | 5,141 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.921875 | 4 | CC-MAIN-2013-20 | latest | en | 0.93931 | assistant
## Thoughts
The text provided does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a discussion about the nature of the number $\pi$ and its irrationality, with no indication of backtracking or changing approaches.
## Doe... | assistant
## Thoughts
The text provided is a discussion about the nature of the number $\pi$ and whether it has a "last digit." The discussion revolves around the irrationality of $\pi$ and the implications of it being irrational, which means it does not have a last digit. However, the text does not contain any explici... | assistant ## Thoughts
The text provided does not contain any explicit subgoal setting. The text is a discussion about the nature of the number $\pi$ and its decimal expansion, explaining why $\pi$ does not have a last digit due to its irrationality. There are no steps or intermediate goals outlined in the text that aim... | assistant ## Thoughts
The text provided does not contain any backward-chaining behavior. The discussion revolves around the concept of the last digit of $\pi$ and the irrationality of $\pi$. It does not start from a goal and work backward to prove or solve something. Instead, it explains why $\pi$ does not have a last ... |
https://www.geeksforgeeks.org/find-minimum-adjustment-cost-of-an-array/?type=article&id=138624 | 1,713,141,237,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296816904.18/warc/CC-MAIN-20240414223349-20240415013349-00216.warc.gz | 732,492,495 | 56,234 | Find minimum adjustment cost of an array
Last Updated : 14 Oct, 2023
Given an array of positive integers, replace each element in the array such that the difference between adjacent elements in the array is less than or equal to a given target. We need to minimize the adjustment cost, that is the sum of differences b... | 7,324 | 21,312 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.671875 | 4 | CC-MAIN-2024-18 | latest | en | 0.879618 | assistant
## Thoughts
The provided text is a description of an algorithm to solve a problem and does not contain any backtracking behavior. The text describes the steps to solve the problem of minimizing the adjustment cost of an array, but it does not mention any instances where the writer realizes a path won't work a... | assistant
## Thoughts
The provided text describes an algorithm to find the minimum adjustment cost of an array, but it does not contain any explicit verification steps where the writer checks their own work or the result of a calculation against a known value or a simple case.
## Does verification?
no
## Number of an... | assistant
## Thoughts
The text describes a problem and its solution using dynamic programming. It breaks down the problem into steps, such as initializing the DP table, handling the first element separately, and then iterating over the rest of the elements to fill the DP table. However, these steps are more about the a... | assistant
## Thoughts
The provided text describes a dynamic programming approach to solve a problem where the goal is to minimize the adjustment cost of an array. The text does not exhibit backward-chaining behavior. Instead, it describes a forward approach where the solution is built up from the initial state to the f... |
https://www.mathworks.com/matlabcentral/profile/authors/16038416-son-pham?page=2&s_tid=cody_local_to_profile | 1,581,883,748,000,000,000 | text/html | crawl-data/CC-MAIN-2020-10/segments/1581875141396.22/warc/CC-MAIN-20200216182139-20200216212139-00180.warc.gz | 825,203,943 | 3,239 | Solved
Calculate the centroid of a triangle
Info: https://en.wikipedia.org/wiki/Centroid Example Input: x = [0 0 1]; % x-coordinate y = [0 1 0]; % y-coordinat...
3 months ago
Solved
Find my daddy long leg (No 's')
Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the b... | 1,545 | 4,416 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5625 | 4 | CC-MAIN-2020-10 | latest | en | 0.803107 | assistant ## Thoughts
The provided text is a list of solved problems or tasks, each with a brief description and a timestamp indicating when it was solved. There is no indication of any backtracking behavior in the text. The entries do not show any instances where the writer realizes a mistake, needs to try a different... | assistant ## Thoughts
The provided text is a list of solved problems or tasks, each with a brief description and a timestamp. None of the descriptions include any explicit steps for verifying the correctness of the solutions or results. There are no mentions of checking answers, substituting values back into equations,... | assistant ## Thoughts
The provided text is a list of solved problems or tasks, each with a brief description and a timestamp. None of the descriptions contain explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goals. The descriptions are simply stating the problem to be solved ... | user
## Thoughts
The provided text is a list of solved problems or tasks, each with a brief description and a timestamp. None of the descriptions indicate a backward-chaining approach. They simply state the problem to be solved without any indication of starting from the goal and working backward.
## Does the text exh... |
https://www.beatthegmat.com/what-is-the-value-of-x-t299597.html | 1,563,548,514,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195526254.26/warc/CC-MAIN-20190719140355-20190719162355-00174.warc.gz | 619,051,821 | 37,788 | • NEW! FREE Beat The GMAT Quizzes
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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Tha... | 1,552 | 5,324 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.90625 | 4 | CC-MAIN-2019-30 | latest | en | 0.898953 | assistant
## Thoughts
The text provided does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a discussion of a math problem and its solution, but there is no indication of backtracking in the reasoning or calculations presented.
##... | assistant
## Thoughts
The text provided does not contain any explicit verification steps where the writer checks their own work, such as by substituting values back into an equation or confirming the result of a calculation. The text is primarily focused on solving a problem and explaining the steps to find the value o... | assistant
## Thoughts
The text provided does not contain any explicit subgoal setting. The text is a discussion of a math problem and its solution, but it does not break down the problem into smaller, intermediate goals in the way described in the task description.
## Does subgoal setting?
no
## Number of subgoal set... | assistant ## Thoughts
The text provided does not contain any backward-chaining behavior. The discussion revolves around solving a geometry problem by setting up an equation based on the given areas and solving for the unknown variable \(x\). The approach taken is straightforward and does not involve starting from a goa... |
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