url stringlengths 6 1.4k | fetch_time int64 1,368,858,634B 1,726,893,726B | content_mime_type stringclasses 3
values | warc_filename stringlengths 108 138 | warc_record_offset int32 958 1.8B | warc_record_length int32 724 787k | text stringlengths 74 913k | token_count int32 31 349k | char_count int32 74 913k | metadata stringlengths 439 444 | score float64 3.5 5.09 | int_score int64 4 5 | crawl stringclasses 93
values | snapshot_type stringclasses 2
values | language stringclasses 1
value | language_score float64 0.06 1 | backtracking_raw stringlengths 0 12.3k | verification_raw stringlengths 0 17.4k | subgoal_setting_raw stringlengths 0 20.4k | backward_chaining_raw stringlengths 0 12.3k | backtrack_count int64 0 5 ⌀ | backchain_count int64 0 5 ⌀ | verification_count int64 0 10 ⌀ | subgoal_count int64 0 16 ⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
https://ex.burnettmediagroup.com/what-is-the-phraseexclamation-mark-in-x-y/ | 1,627,454,305,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046153531.10/warc/CC-MAIN-20210728060744-20210728090744-00632.warc.gz | 265,657,037 | 7,750 | # What is the term”exclamation mark” in mathematics?
The answer is easy. Below are some approaches to inform as soon as an equation can be really actually a multiplication equation and also how to add and subtract using”exclamation marks”. For instance,”2x + 3″ imply”multiply two integers from about a few, making a va... | 509 | 1,930 | {"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... | 4.53125 | 5 | CC-MAIN-2021-31 | longest | en | 0.901994 | user | SupportedContent | 5555555555555555555555555555555555555555555555555555555555555555 | assistant ## Thoughts
The provided text does not contain any instances of backward-chaining behavior. The text is explaining how to interpret and manipulate mathematical expressions using "exclamation marks" and other symbols, but it does not start from a goal and work backward to achieve it.
## Does the text exhibit ... | null | 0 | null | null |
https://esingaporemath.com/program-grade-3 | 1,638,473,770,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964362287.26/warc/CC-MAIN-20211202175510-20211202205510-00559.warc.gz | 305,205,293 | 13,865 | Our curriculum is spiral
Please note that our virtual Singapore Math Grade 3 curriculum is spiral and it provides for the review of the important concepts that students learned in Grade 2. Our online K-5 math curriculum is aligned with all standard Singapore Math textbook series and it includes all content that these ... | 1,234 | 6,132 | {"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-2021-49 | latest | en | 0.914701 | assistant```markdown
## Thoughts
The provided text is a detailed description of the curriculum for Singapore Math Grade 3. It outlines the topics covered in the curriculum 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 ph... | assistant
## Thoughts
The provided text is a detailed curriculum outline for Singapore Math Grade 3. It describes the topics covered in the curriculum and the learning objectives for each unit. However, the text does not contain any explicit steps where the writer checks their work or verifies the correctness of the co... | assistant ## Thoughts
The text describes the curriculum and scope of a 3rd-grade Singapore Math program. It outlines various units and what students will learn in each unit. However, it does not break down the learning process into smaller, intermediate goals within each unit. The text is more descriptive of the conten... | assistant ## Thoughts
The provided text describes the curriculum and scope of a Singapore Math Grade 3 program. It outlines the topics covered and the progression of learning. There is no indication of backward-chaining behavior in the text. The text does not start from a goal and work backward to achieve it. Instead, ... | 0 | 0 | 0 | 0 |
https://www.teacherspayteachers.com/Product/Fractions-Bundle-Twist-12-Worksheets-616486 | 1,537,662,858,000,000,000 | text/html | crawl-data/CC-MAIN-2018-39/segments/1537267158766.65/warc/CC-MAIN-20180923000827-20180923021227-00077.warc.gz | 874,532,398 | 19,691 | # Fractions Bundle "Twist" 12 Worksheets
Subject
Resource Type
Product Rating
File Type
Word Document File
181 KB|20 pages
Share
Product Description
FRACTIONS BUNDLE "TWIST" 12 WORKSHEETS
You receive 12 FULL worksheets all on the 4 OPERATIONS of FRACTIONS including WORD PROBLEMS for EACH operation!
The "Twist"? - ... | 709 | 3,141 | {"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... | 3.921875 | 4 | CC-MAIN-2018-39 | latest | en | 0.764651 | assistant ## Thoughts
The text provided is a product description for a set of fraction worksheets. It does not contain any instances of backtracking behavior, as it is a straightforward description of the contents and features of the product. There are no indications of the writer realizing a path won't work and explic... | assistant ## Thoughts
The text provided is a product description for a bundle of worksheets focused on fractions. It details the content and structure of the worksheets but does not include any explicit steps for verifying answers or solutions.
## Does verification?
no
## Number of answer verification steps
<count>0<... | assistant ## Thoughts
The text describes a bundle of worksheets focused on fractions and the four operations (addition, subtraction, multiplication, and division). It outlines the content of each worksheet, including the types of problems and the number of examples. However, the text does not break down the problem-sol... | assistant ## Thoughts
The provided text is a description of a set of worksheets focused on fractions and does not contain any reasoning or problem-solving process. It describes the content and structure of the worksheets but does not demonstrate any backward-chaining behavior in solving problems or proving statements.
... | 0 | 0 | 0 | 0 |
https://www.hackmath.net/en/math-problem/8311 | 1,611,170,840,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610703521987.71/warc/CC-MAIN-20210120182259-20210120212259-00634.warc.gz | 835,761,036 | 13,306 | # Height of the room
Given the floor area of a room as 24 feet by 48 feet and space diagonal of a room as 56 feet. Can you find the height of the room?
Correct result:
c = 16 ft
#### Solution:
We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank... | 641 | 2,490 | {"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... | 4.1875 | 4 | CC-MAIN-2021-04 | longest | en | 0.920097 | user | assistant ## Thoughts
The provided text is a math problem and its solution, followed by some additional information. There is no explicit mention of any verification steps where the writer checks their work by substituting values, differentiating, or testing with simple cases.
## Does verification?
no
## Number of an... | assistant ## Thoughts
The text provided is a math problem and its solution, followed by some additional information. The solution itself does not break down the problem into smaller, intermediate goals or steps. It simply states the result and provides some tips and related knowledge without detailing the process.
## ... | user | null | null | 0 | 0 |
https://www.jiskha.com/questions/838764/solve-by-using-subsitution-4x-y-2-3y-2x-1 | 1,540,044,392,000,000,000 | text/html | crawl-data/CC-MAIN-2018-43/segments/1539583512750.15/warc/CC-MAIN-20181020121719-20181020143219-00092.warc.gz | 980,654,936 | 3,697 | math
solve by using subsitution:
4x+y=2
3y+2x=-1
1. 0
2. 0
Similar Questions
1. algebra
solve by subsitution 2x+y=9 8x+4y=36
2. alg. 2
solve by subsitution 2x+3y=10 x+6y=32
3. math
solve by using subsitution: 4x+y=2 3y+2x=-1
4. math
solve by using subsitution: 4x+y=2 3y+2x=-1
5. math
solve by using subsitutio... | 316 | 731 | {"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-2018-43 | latest | en | 0.822756 | assistant ## Thoughts
The provided text does not contain any explicit statements indicating that the writer has realized a mistake or that a different approach is needed. 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 text simply lis... | assistant ## Thoughts
The provided text is a list of math problems and their solutions, but it does not contain any explicit verification steps. The text does not show any process where the writer checks their work by substituting values back into equations or confirming results.
## Does verification?
no
## Number of... | assistant ## Thoughts
The text provides a problem to solve a system of equations using substitution but does not explicitly break down the problem into smaller, intermediate goals. It simply states the equations and provides multiple similar questions without any step-by-step breakdown or subgoal setting.
## Does subg... | assistant ## Thoughts
The provided text is a series of math problems and solutions, but none of them explicitly demonstrate backward-chaining behavior. The problems are presented in a straightforward manner, asking to solve systems of equations using substitution, without any indication of starting from a goal and work... | 0 | 0 | 0 | 0 |
http://www.brainbashers.com/showpuzzles.asp?puzzle=zvyu&showanswer=Y | 1,501,160,053,000,000,000 | text/html | crawl-data/CC-MAIN-2017-30/segments/1500549428257.45/warc/CC-MAIN-20170727122407-20170727142407-00229.warc.gz | 322,485,434 | 4,449 | [OK] Privacy Policy - Terms & Conditions - See DetailsWe use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners who may combine it with other information y... | 597 | 2,056 | {"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... | 3.609375 | 4 | CC-MAIN-2017-30 | longest | en | 0.902451 | assistant ## Thoughts
The provided text is a puzzle and its solution. The solution process does not exhibit any backtracking behavior. The writer does not mention any mistakes or the need to try a different approach. The solution is presented in a straightforward manner, without any indication of reconsideration or cor... | assistant ## Thoughts
The text provided is a puzzle with a solution. The solution includes a final check to ensure the numbers of animals (cockroaches, mice, and birds) add up to the total number of heads and feet given in the problem. This check is a verification step.
## Does verification?
yes
## Number of answer v... | assistant ## Thoughts
The text provided is a puzzle with a solution. The solution breaks down the problem into smaller steps, such as defining the number of heads and feet in terms of the number of animals, and then solving the equations to find the number of each animal. This is a clear example of subgoal setting.
##... | user5 | 0 | null | 1 | null |
http://puzzle.queryhome.com/21240/out-shopping-with-find-item-whose-price-random-value-between | 1,498,701,825,000,000,000 | text/html | crawl-data/CC-MAIN-2017-26/segments/1498128323842.29/warc/CC-MAIN-20170629015021-20170629035021-00142.warc.gz | 325,637,480 | 31,507 | # You are out shopping with \$N, and you find an item whose price has a random value between \$0 and \$N.
27 views
You are out shopping one day with \$N, and you find an item whose price has a random value between \$0 and \$N. You buy as many of these items as you can with your \$N. What is the expected value of the ... | 650 | 2,652 | {"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... | 3.703125 | 4 | CC-MAIN-2017-26 | longest | en | 0.979107 | user | assistant ## Thoughts
The text provided is a mix of a mathematical problem and a puzzle, but it does not contain any explicit verification steps. The solution given for the mathematical problem does not include any steps to check the correctness of the answer. The puzzle part is a set of clues for a logic puzzle and do... | assistant ## Thoughts
The text provided does not contain any explicit subgoal setting. The text is a mix of a puzzle about expected value, a logic puzzle about butterflies, and a question about the probability of bugs not colliding. None of these sections break down the problem into smaller, intermediate goals in the w... | user
## Thoughts
The provided text does not contain any reasoning that starts from a goal and works backward. The text is a puzzle about butterflies and their prices, and another puzzle about the average age of a family. Neither of these puzzles involves backward-chaining as described in the examples.
## Does the text... | null | 0 | 0 | 0 |
https://www.clutchprep.com/chemistry/practice-problems/146918/the-rate-constant-of-a-reaction-at-32-c-is-0-055-s-if-the-frequency-factor-is-1- | 1,611,754,886,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610704824728.92/warc/CC-MAIN-20210127121330-20210127151330-00434.warc.gz | 727,163,612 | 37,827 | # Problem: The rate constant of a reaction at 32°C is 0.055/s. If the frequency factor is 1.2 x 1013/s, what is the activation barrier?
###### FREE Expert Solution
We’re being asked to determine the activation barrier (activation energy, Ea) of a reaction given the rate constant and frequency factor.
We can use the ... | 196 | 726 | {"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... | 3.625 | 4 | CC-MAIN-2021-04 | latest | en | 0.745841 | user | user555555 | assistant
## Thoughts
The text describes the problem and mentions the use of the two-point form of the Arrhenius Equation to calculate the activation energy. However, it does not break down the problem into smaller, intermediate goals or steps.
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</... | assistant ## Thoughts
The provided text describes a problem and the method to solve it using the Arrhenius equation. However, it does not start from the goal and work backward. Instead, it outlines the formula to be used and the known variables without indicating a backward-chaining approach.
## Does the text exhibit ... | null | 0 | null | 0 |
http://docplayer.net/20674638-How-much-will-i-spend-on-gas.html | 1,571,614,744,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987750110.78/warc/CC-MAIN-20191020233245-20191021020745-00260.warc.gz | 56,394,745 | 26,009 | # HOW MUCH WILL I SPEND ON GAS?
Save this PDF as:
Size: px
Start display at page:
## Transcription
1 HOW MUCH WILL I SPEND ON GAS? Outcome (lesson objective) The students will use the current and future price of gasoline to construct T-charts, write algebraic equations, and plot the equations on a graph. Student/Cl... | 7,447 | 33,334 | {"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-2019-43 | latest | en | 0.872112 | assistant
## Thoughts
The provided text does not contain any instances of backtracking behavior. The text is a structured lesson plan for teaching mathematical concepts related to linear equations, graphing, and problem-solving. It does not include any statements where the writer realizes a mistake or needs to go back ... | assistant
## Thoughts
The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or testing formulas with simple cases. The text is instructional in nature, providing steps for various activities and lessons, but does not include ... | user撖 | assistant
## Thoughts
The provided text does not contain any instances of backward-chaining behavior. The text is a lesson plan for teaching students how to solve problems related to gas consumption and cost. It involves creating T-charts, writing equations, and plotting graphs, but these activities are not described i... | 0 | 0 | 0 | null |
https://www.yaclass.in/p/mathematics-state-board/class-9/algebra-3105/slope-and-intercept-of-a-line-5203/re-3de6cc34-28be-4697-9e9b-9b3d54972002 | 1,611,467,959,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610703547333.68/warc/CC-MAIN-20210124044618-20210124074618-00445.warc.gz | 1,072,465,743 | 7,677 | ### Theory:
Let us draw the graph of the equation using the coordinates of $$x$$ and $$y$$-intercepts.
The graph can be obtained by plotting the $$x$$ and $$y$$-intercepts and then drawing a line joining these points.
Example:
Draw the graph of the equation $$4y-3x = 6$$ using the $$x$$ and $$y$$-intercepts.
Solutio... | 317 | 854 | {"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... | 4.46875 | 4 | CC-MAIN-2021-04 | longest | en | 0.836454 | 555555555555555555555 | assistant
## Thoughts
The provided text describes the process of finding the x and y intercepts of a linear equation and plotting the graph using these points. However, there are no explicit steps taken to verify the correctness of the intercepts or the graph itself.
## Does verification?
no
## Number of answer verif... | assistant
## Thoughts
The text describes a process for drawing the graph of an equation using the x and y-intercepts. It breaks down the process into two main steps: finding the x-intercept and finding the y-intercept. After finding both intercepts, it instructs to plot the graph using these points. This breakdown into... | assistant
## Thoughts
The provided text describes a straightforward method for finding the x and y intercepts of a linear equation and then using these points to draw the graph of the equation. There is no indication of starting from a goal and working backward; instead, the process is forward-chaining, where the steps... | null | 0 | 0 | null |
https://socratic.org/questions/how-do-you-factor-4y-13y-12 | 1,579,567,269,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579250601040.47/warc/CC-MAIN-20200120224950-20200121013950-00049.warc.gz | 668,904,553 | 6,012 | # How do you factor 4y² -13y -12?
May 30, 2015
Use a version of the AC Method.
$A = 4$, $B = 13$, $C = 12$
Look for a pair of factors of $A C = 48$ whose difference is $B = 13$.
$16$ and $3$ work.
Use this pair to split the middle term then factor by grouping...
$4 {y}^{2} - 13 y - 12$
$= 4 {y}^{2} + 3 y - 16 y... | 217 | 483 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 12, "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, "ma... | 4.34375 | 4 | CC-MAIN-2020-05 | latest | en | 0.470063 | assistant```markdown
## 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 writer proceeds with the AC Method without mentioning any errors or the need to backtrack to a previous computation.
## Does backtrack?... | user55555555555555555555555555555555555555555555 | assistant
## Thoughts
The text describes a method for factoring a quadratic equation, but it does not explicitly break down the process into smaller, intermediate goals. The steps are presented in a sequential manner, but there is no clear indication of setting subgoals such as "first do this, then do that."
## Does s... | assistant
## Thoughts
The provided text describes a method for factoring a quadratic equation but does not start from the goal and work backward. Instead, it uses a specific method (the AC Method) to find factors and then proceeds to factor the quadratic expression by grouping. There is no indication of starting with t... | 0 | 0 | null | 0 |
https://ambitiousbaba.com/sbi-clerk-pre-quantitative-aptitude-quiz-07/ | 1,695,802,832,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510284.49/warc/CC-MAIN-20230927071345-20230927101345-00635.warc.gz | 119,267,028 | 54,445 | # SBI Clerk Pre Quantitative Aptitude Quiz- 07
## SBI Clerk Pre Quantitative Aptitude Quiz
Quantitative aptitude measures a candidate’s numerical proficiency and problem-solving abilities. It is the most important section of almost all competitive exams. Candidates are often stymied by the complexity of Quantitative ... | 748 | 2,730 | {"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... | 4.28125 | 4 | CC-MAIN-2023-40 | latest | en | 0.898199 | user
## Thoughts
The provided text is a set of quantitative aptitude questions for a competitive exam preparation quiz. There is no indication of any backtracking behavior in the text. The questions are presented straightforwardly without any corrections, retracing, or changes in approach.
## Does backtrack?
no
## Nu... | assistant ## Thoughts
The provided text is a set of quantitative aptitude questions for a quiz. It does not contain any explicit steps where the writer checks their work or verifies the answers. The text is purely a list of questions and options without any explanation or verification process.
## Does verification?
no... | assistant ## Thoughts
The provided text is a set of quantitative aptitude questions for a quiz. It does not contain any explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goals. Each question is presented as a standalone problem without any guidance on how to approach or solve ... | assistant ## Thoughts
The provided text is a set of questions for a quantitative aptitude quiz. It does not contain any explicit reasoning or problem-solving process that would indicate backward-chaining behavior. The questions are presented without any explanation or working steps, and there is no indication of starti... | 0 | 0 | 0 | 0 |
http://www.wyzant.com/resources/answers/14273/find_the_composite_function | 1,405,215,910,000,000,000 | text/html | crawl-data/CC-MAIN-2014-23/segments/1404776435808.92/warc/CC-MAIN-20140707234035-00071-ip-10-180-212-248.ec2.internal.warc.gz | 613,072,381 | 9,697 | Search 75,714 tutors
0 0
## find the composite function
Given the f(x)= 4/x2 and g(x) = 3-2x, find the composite function (f º g) and simplify.
Given f(x) and g(x), (f º g)(x) = f(g(x))
with f(x) = 4/x2 and g(x) = 3-2x, First apply g, then apply f to that result as follows:
g(x) = 3x-2
f(g(x)) = 4/ (3 - 2x... | 225 | 453 | {"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... | 4.03125 | 4 | CC-MAIN-2014-23 | latest | en | 0.465814 | user | user | 2 | assistant```markdown
## Thoughts
The provided text describes the process of finding a composite function (f º g)(x) given two functions f(x) and g(x). The text does not exhibit any backward-chaining behavior. It starts with the given functions and applies them in sequence to find the composite function, which is a forw... | null | 0 | null | null |
https://prezi.com/fodislucnnmb/maths-revision-ratios-and-rates/ | 1,542,429,211,000,000,000 | text/html | crawl-data/CC-MAIN-2018-47/segments/1542039743282.69/warc/CC-MAIN-20181117040838-20181117062838-00338.warc.gz | 714,564,074 | 22,633 | ### Present Remotely
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Neither you, nor the... | 566 | 1,696 | {"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... | 4.1875 | 4 | CC-MAIN-2018-47 | latest | en | 0.798472 | assistant ## Thoughts
The provided text is a presentation outline on ratios and rates. It does not contain any instances where the writer realizes a mistake or contradiction and explicitly goes back to try a different approach. The content is a straightforward explanation and does not show any backtracking behavior.
#... | assistant ## Thoughts
The text provided is a summary of a presentation on ratios and rates. It covers various aspects of ratios, such as their forms, simplification, unit ratios, and methods to solve for unknowns. However, there are no explicit steps where the writer checks their work or verifies the correctness of the... | assistant ## Thoughts
The text provided is a summary of a presentation on ratios and rates. It covers various aspects of ratios, such as their forms, simplification, unit ratios, and methods to solve for unknowns. However, the text does not break down any problem-solving process into smaller, intermediate goals. It pro... | assistant ## Thoughts
The text provided is a summary of a presentation on ratios and rates. It does not contain any backward-chaining behavior. The content is instructional and focuses on explaining concepts and methods related to ratios, such as equivalent ratios, unit ratios, and methods to solve for unknowns in rati... | 0 | 0 | 0 | null |
https://ambitiousbaba.com/quant-quiz-for-sbi-clerk-pre-2021-16-march-2021/ | 1,670,285,386,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446711064.71/warc/CC-MAIN-20221205232822-20221206022822-00034.warc.gz | 120,586,845 | 50,958 | # Quant Quiz for SBI clerk pre 2021| 16 March 2021
## Quant Quiz for SBI clerk pre 2021
Quant Quiz to improve your Quantitative Aptitude for SBI Po & SBI clerk exam IBPS PO Reasoning , IBPS Clerk Reasoning , IBPS RRB Reasoning, LIC AAO ,LIC Assistant and other competitive exam.
Direction (1 -5): The Pie-chart given... | 931 | 2,511 | {"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... | 3.65625 | 4 | CC-MAIN-2022-49 | latest | en | 0.586493 | assistant ## Thoughts
The text provided is a set of questions and answers for a quantitative aptitude quiz. There is no indication of any backtracking behavior where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is straightforward, listing questions and their corre... | assistant ## Thoughts
The provided text is a set of questions and answers for a quantitative aptitude quiz. It does not contain any explicit steps where the writer checks their work or verifies the answers provided. The text simply lists questions followed by the correct answers without any explanation or verification ... | assistant ## Thoughts
The text provided is a set of questions and answers for a quantitative aptitude quiz. It does not contain any explicit breakdown of problems into smaller, intermediate goals. The questions are presented directly without any indication of subgoal setting.
## Does subgoal setting?
no
## Number of ... | assistant ## Thoughts
The provided text is a set of questions and answers for a quantitative aptitude quiz. The questions are focused on solving problems related to income distribution, number series, and other mathematical problems. The solutions provided do not explicitly demonstrate a backward-chaining approach. The... | 0 | 0 | 0 | 0 |
https://socratic.org/questions/is-0-4-undefined | 1,623,621,360,000,000,000 | text/html | crawl-data/CC-MAIN-2021-25/segments/1623487610841.7/warc/CC-MAIN-20210613192529-20210613222529-00138.warc.gz | 491,613,894 | 5,649 | # Is 0/4 undefined?
$\frac{0}{4} = 0$ is defined. $\frac{4}{0}$ is not.
If $\frac{4}{0} = k$ for some $k \in \mathbb{R}$, then we would have $0 \cdot k = 4$,
but $0 \cdot$anything$= 0 \ne 4$, so there is no such $k$. | 95 | 217 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 8, "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... | 3.625 | 4 | CC-MAIN-2021-25 | latest | en | 0.854558 | user
## 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 writer simply explains why $\frac{4}{0}$ is undefined without any backtracking behavior.
## Does backtrack?
no
## Number of backtrack steps
<count>0</... | user2 | user2222 | user33333333333333333333333 | 0 | null | null | null |
https://leadingbittersweetchange.com/aircraft-operations/scheduling/shop-smart-for-aviation-software | 1,675,527,797,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500140.36/warc/CC-MAIN-20230204142302-20230204172302-00381.warc.gz | 375,917,558 | 6,845 | # Equation solver with square root
This Equation solver with square root supplies step-by-step instructions for solving all math troubles. Our website will give you answers to homework.
## The Best Equation solver with square root
In this blog post, we will be discussing about Equation solver with square root. As an... | 1,041 | 5,301 | {"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... | 4.59375 | 5 | CC-MAIN-2023-06 | latest | en | 0.942348 | userToSelector
## Thoughts
The provided text does not contain any instances of backtracking. The text is a description of an equation solver with square root and its benefits, without any indication of the writer realizing a mistake or needing to go back to a previous step in their thought process.
## Does backtrack?
... | ⚗ | userToSelector
## Thoughts
The text provided does not contain any explicit subgoal setting. It describes a tool for solving math problems and explains some features of the tool, but it does not break down any problem-solving process into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal se... | user | 0 | null | null | 0 |
https://members.simplenursing.com/quiz_bank_question/med-math-metric-conversions-question-7/ | 1,620,297,067,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243988753.91/warc/CC-MAIN-20210506083716-20210506113716-00031.warc.gz | 423,368,252 | 5,138 | ## Med Math: Metric Conversions Question #7
330 mL = _____ L
1. 330, 000
• Rationale:
2. 3, 300
• Rationale:
3. 0.33
• Rationale:
4. 0. 033
• Rationale:
### Explanation
DA solution = 1 L/1000mLx 330 mL/1 = 0.33 L
Ratio solution = 1000 mL/1 L = 330 mL/x L | 108 | 258 | {"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... | 3.921875 | 4 | CC-MAIN-2021-21 | latest | en | 0.369755 | user提供的文本中没有显示出任何回溯行为。作者直接列出了问题和可能的答案选项，然后提供了两种解决方案（DA solution 和 Ratio solution），但没有表现出在解决问题过程中改变思路或纠正错误的行为。
## Thoughts
文本中没有显示出任何回溯行为。作者直接列出了问题和可能的答案选项，然后提供了两种解决方案，但没有表现出在解决问题过程中改变思路或纠正错误的行为。
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | user提供的用户问题中没有包含任何验证步骤。因此，验证步骤的数量为0。
## Thoughts
提供的文本是关于将毫升转换为升的数学问题及其解答。文本中没有提到任何验证步骤，如将答案代入原方程或通过其他方法确认答案的正确性。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | user322 | user提供的文本中没有展示出反向链接的行为。给出的解释是关于如何将毫升转换为升的直接计算方法，而不是从目标结果开始反向推理的过程。
## Thoughts
提供的文本中没有展示出 | 0 | null | 0 | null |
https://www.studysmarter.us/textbooks/math/fundamentals-of-differential-equations-and-boundary-value-problems-9th/laplace-transforms/q8rp-in-problems-3-10-determine-the-laplace-transform-of-the/ | 1,680,141,714,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296949093.14/warc/CC-MAIN-20230330004340-20230330034340-00527.warc.gz | 1,099,934,792 | 20,668 | ### Select your language
Suggested languages for you:
Americas
Europe
Q8RP
Expert-verified
Found in: Page 415
### Fundamentals Of Differential Equations And Boundary Value Problems
Book edition 9th
Author(s) R. Kent Nagle, Edward B. Saff, Arthur David Snider
Pages 616 pages
ISBN 9780321977069
# In Problems 3-10... | 1,251 | 2,924 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 13, "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... | 4.25 | 4 | CC-MAIN-2023-14 | latest | en | 0.360391 | user
## Thoughts
The text provided is a step-by-step solution to a problem involving the Laplace transform of a given function. 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 ph... | user
## Thoughts
The text provided is a step-by-step solution to a problem involving the determination of the Laplace transform of a given function. The solution breaks down the function into simpler components and applies known Laplace transform properties to each component. However, there are no explicit steps taken ... | userHeaderCode generated by the user seems to be part of a solution to a math problem, specifically finding the Laplace transform of a given function. However, the text does not contain any explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goals. The solution is presented in a... | assistant
## Thoughts
The provided text is a step-by-step solution to a problem involving the Laplace transform of a given function. The solution does not start from a goal and work backward; instead, it directly applies the Laplace transform properties to the given function. There is no evidence of backward-chaining b... | 0 | 0 | 0 | 0 |
https://divinewsmedia.com/8312/ | 1,638,541,360,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964362879.45/warc/CC-MAIN-20211203121459-20211203151459-00576.warc.gz | 294,291,715 | 13,221 | # Period Of Function
by -2 views
Period of sinusoidal functions from equation. You can figure this out without looking at a graph by dividing with the frequency which in this case is 2.
Graphing Trigonometric Functions Graphing Trigonometric Functions Neon Signs
### Periodic functions are used throughout science to... | 1,324 | 6,517 | {"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... | 4.5 | 4 | CC-MAIN-2021-49 | latest | en | 0.922685 | userHeaderCodegentplease provide the text you want me to evaluate for backtracking behavior. | userHeaderCode Folding Error: The content you provided is not a valid code block with foldable sections. Please make sure the content is within a valid code block and has proper foldable markers. | userHeaderCode Folding/Error
It seems there was an unexpected request for a response regarding subgoal setting in a provided text, but the actual text to be analyzed was not included in your message. Could you please provide the specific text you would like me to evaluate for subgoal setting? | userValueHandling your request, I noticed that the provided text is about the period of a function, specifically sinusoidal functions, and does not contain any backward-chaining behavior as described in the task description. The text explains what a period is, how to find it, and provides some examples related to trigo... | null | 0 | null | null |
http://mathhelpforum.com/differential-geometry/177595-question-involving-continuous-function-closed-interval.html | 1,503,312,606,000,000,000 | text/html | crawl-data/CC-MAIN-2017-34/segments/1502886108264.79/warc/CC-MAIN-20170821095257-20170821115257-00231.warc.gz | 201,300,268 | 10,634 | # Thread: Question involving a continuous function on a closed interval
1. ## Question involving a continuous function on a closed interval
Intuitively this is obvious by graphing g(x) = x on [0,1] and seeing since f is continuous it has to intersect with g at some point. But I spent a long time and cannot figure out... | 410 | 1,315 | {"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": 0, "img_math": 0, "codecogs_latex": 24, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.875 | 4 | CC-MAIN-2017-34 | longest | en | 0.930542 | assistant```markdown
## Thoughts
The text provided does not contain any explicit instances of the writer realizing a path won't work and then going back to try a different approach. The text is more of a discussion and explanation of a mathematical theorem, without any indication of the writer backtracking or realizing... | PostalCodesPostalCodes | 55555555555555555555555555555555555555555555555555555555555555555 | user
## Thoughts
The provided text does not contain any instances where the writer starts from a goal and works backward to reach the initial conditions or premises. The text is more focused on proving a fixed point theorem using the intermediate value theorem and does not exhibit backward-chaining behavior.
## Does t... | 0 | 0 | null | null |
https://engcourses-uofa.ca/books/vibrations-and-sound/vibrations-of-continuous-systems/lateral-vibrations-of-beams/ | 1,721,404,460,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514908.1/warc/CC-MAIN-20240719135636-20240719165636-00652.warc.gz | 197,431,428 | 17,241 | ## Vibrations of Continuous Systems: Lateral Vibrations of Beams
### Equation of Motion
Consider a beam, shown in Figure 10.6(a) which has a length , density (mass per unit volume) and Young’s modulus which is acted upon by a distributed load (per unit length) acting laterally along the beam. Let measure the lateral ... | 929 | 4,048 | {"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... | 3.640625 | 4 | CC-MAIN-2024-30 | latest | en | 0.922399 | 提供的文本中没有明确的验证步骤。文本主要描述了梁的横向振动方程的推导过程，但没有提到任何验证计算结果或公式正确性的步骤。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | null | null | 0 | null | |||
https://fiveable.me/ap-stats/unit-6/justifying-claim-based-confidence-interval-difference-population-proportions/study-guide/m6d2wvAbSyMqmNwEyt43? | 1,632,461,363,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057504.60/warc/CC-MAIN-20210924050055-20210924080055-00646.warc.gz | 320,253,745 | 43,280 | 📚
All Subjects
>
📊
AP Stats
>
⚖️
Unit 6
6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions
2 min readjune 5, 2020
Josh Argo
AP Statistics📊
Bookmarked 4.3k • 246 resources
See Units
Interpretation
When interpreting a confidence interval for the difference in... | 908 | 3,820 | {"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... | 4.25 | 4 | CC-MAIN-2021-39 | latest | en | 0.921178 | assistant ## Thoughts
The text provided is a study guide for AP Statistics, specifically focusing on Unit 6, which deals with justifying a claim based on a confidence interval for a difference of population proportions. The text does not contain any instances where the writer realizes a path won't work and explicitly g... | assistant ## Thoughts
The text provided is a guide for AP Statistics, specifically focusing on justifying claims based on confidence intervals for the difference of population proportions. The text explains the interpretation of confidence intervals and how to test a claim using a confidence interval. It includes an ex... | assistant ## Thoughts
The text provided is an explanation of how to interpret a confidence interval for the difference in two population proportions and how to test a claim using a confidence interval. It does not break down the process into smaller, intermediate goals or steps that would be considered subgoal setting.... | user
## Thoughts
The text provided is about justifying a claim based on a confidence interval for a difference of population proportions in AP Statistics. It explains how to interpret a confidence interval and how to test a claim using a confidence interval. The text does not exhibit any backward-chaining behavior as i... | 0 | 0 | 0 | 0 |
https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/11%3A_Sequences_Probability_and_Counting_Theory/11.02%3A_Arithmetic_Sequences | 1,726,382,692,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651616.56/warc/CC-MAIN-20240915052902-20240915082902-00702.warc.gz | 360,016,350 | 37,261 | Skip to main content
# 11.2: Arithmetic Sequences
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\ma... | 6,153 | 21,128 | {"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... | 4.53125 | 5 | CC-MAIN-2024-38 | latest | en | 0.200616 | assistant
## Thoughts
The provided text is a section from a mathematics textbook discussing arithmetic sequences. 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 a straightforward explanation and examples of arithmetic seque... | assistant ## Thoughts
The provided text is a section from a mathematics textbook discussing arithmetic sequences. It includes definitions, examples, and exercises. However, the text does not contain any explicit verification steps where the writer checks their work by comparing results to known values or by testing for... | assistant
## Thoughts
The provided text does not contain any explicit subgoal setting. The text is a mathematical exposition on arithmetic sequences, including definitions, examples, and exercises. It does not break down a problem into smaller, intermediate goals in the manner described in the task description.
## Doe... | assistant ## Thoughts
The provided text does not contain any backward-chaining behavior. The text is about arithmetic sequences and provides definitions, examples, and methods to find terms of arithmetic sequences. It does not start from a goal and work backward to reach a conclusion or solve a problem.
## Does the te... | 0 | 0 | 0 | 0 |
https://math.stackexchange.com/questions/1834472/approximate-greatest-common-divisor | 1,708,939,357,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474653.81/warc/CC-MAIN-20240226062606-20240226092606-00250.warc.gz | 387,870,564 | 37,416 | # approximate greatest common divisor
I try, without success, to create an algorithm that can compute the average greatest common divisor of a series of integers.
For example, I have the following numbers:
399, 710, 105, 891, 402, 102, 397, ...
As you can see, the average gcd is approximately 100, but how to comp... | 1,424 | 4,823 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.734375 | 4 | CC-MAIN-2024-10 | latest | en | 0.89591 | assistantmarkdown
## Thoughts
The text 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 discusses different methods and approaches to solving the problem but does not mention abandoning a thought or recalculating using a different ... | user
## Thoughts
The text discusses the problem of finding an approximate greatest common divisor (GCD) for a series of integers, particularly in the context of signal processing. It does not contain explicit verification steps where the writer checks their own work by comparing results to known values or rechecking ca... | assistant ## Thoughts
The text does not contain explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goals. The text describes a problem and a method to solve it but does not outline a step-by-step process with clear intermediate goals.
## Does subgoal setting?
no
## Number of ... | assistant ## Thoughts
The text does not exhibit backward-chaining behavior. The writer is discussing the problem of finding an approximate greatest common divisor (GCD) for a series of integers and proposes a method to solve it. The discussion includes a description of the problem, an attempt to solve it, and a mention... | 0 | 0 | 0 | 0 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-and-intermediate-algebra-concepts-and-applications-6th-edition/chapter-5-polynomials-and-factoring-5-5-factoring-sums-or-differences-of-cubes-5-5-exercise-set-page-338/46 | 1,539,673,425,000,000,000 | text/html | crawl-data/CC-MAIN-2018-43/segments/1539583510019.12/warc/CC-MAIN-20181016051435-20181016072935-00531.warc.gz | 956,458,403 | 14,195 | ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$(a^3-b^4c^5)(a^6+a^3b^4c^5+b^8c^{10})$
Using $a^3+b^3=(a+b)(a^2-ab+b^2)$ or the factoring of 2 cubes, the factored form of the given expression, $a^{9}+b^{12}c^{15} ,$ is \begin{array}{l} (a^3-b^4c^5)[ (a^3)^2-(a^3)(-b^4c^5)+(-b^4c^5)^2] \\... | 186 | 374 | {"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... | 4.0625 | 4 | CC-MAIN-2018-43 | longest | en | 0.602835 | assistant```markdown
## Thoughts
The provided text is a straightforward algebraic expression and its factored form. There is no indication of the writer realizing a mistake, encountering a contradiction, or needing to try a different approach. The text does not show any backtracking behavior.
## Does backtrack?
no
##... | assistant```markdown
## Thoughts
The provided text is a mathematical expression and its factored form. It shows the process of factoring the given expression using the formula for the sum of cubes. However, there is no explicit step where the writer checks their work or verifies the correctness of the factored form.
#... | assistant
## Thoughts
The text provided is a mathematical expression and its factored form. It does not explicitly break down the problem into smaller, intermediate goals or steps. The text simply presents the expression and its factored form without detailing the process or subgoals involved in the factoring.
## Does... | assistant```markdown
## Thoughts
The provided text describes the factoring of a given algebraic expression using the sum of cubes formula. The text does not start from a goal and work backward; instead, it directly applies a known formula to factor the expression. There is no indication of backward-chaining behavior in... | 0 | 0 | 0 | 0 |
https://discuss.codechef.com/t/swapsign-code-melange-editorial-unofficial/24315 | 1,601,089,577,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600400232211.54/warc/CC-MAIN-20200926004805-20200926034805-00583.warc.gz | 361,359,504 | 5,056 | # SWAPSIGN(Code Melange) - EDITORIAL (UNOFFICIAL)
Author: Vineet Shah
Editorialist: Vaibhav Jain
MEDIUM
### PROBLEM:
Find the number of ordered pairs (b,c) such that it satisfies the following equation:
a+(b×c)=a×b+a×c
### QUICK EXPLANATION:
We can rewrite equation as a(a-1)=(b-a)(c-a). Now the answer will be 2×f... | 721 | 2,474 | {"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... | 4.46875 | 4 | CC-MAIN-2020-40 | latest | en | 0.812369 | user
## Thoughts
The text provided is an editorial for a coding problem. It explains the solution to a mathematical problem in a step-by-step manner. There is no indication of the writer realizing a mistake or needing to go back to a previous step to try a different approach. The explanation flows logically from one st... | user editorial | assistant
## Thoughts
The text provides a detailed explanation of how to solve a mathematical problem, but it does not explicitly break down the problem into smaller, intermediate goals using phrases like "first," "then," or "let's tackle this in parts." Instead, it directly explains the steps taken to solve the proble... | assistant ## Thoughts
The text provided is an editorial for a coding problem that involves mathematical reasoning. The explanation section of the editorial does not start from the goal and work backward. Instead, it starts with the given equation and manipulates it step by step to reach a conclusion. The process descri... | 0 | 0 | null | 0 |
http://www.studygeek.org/calculus/solving-differential-equations/ | 1,539,663,835,000,000,000 | text/html | crawl-data/CC-MAIN-2018-43/segments/1539583509996.54/warc/CC-MAIN-20181016030831-20181016052331-00216.warc.gz | 549,229,649 | 26,754 | # How to solve differential equations
Differential equations make use of mathematical operations with derivatives. Solving differential equations is a very important, but also hard concept in calculus. There exist more methods of solving this kind of exercises.
Firstly, we will have a look on how first order differen... | 586 | 2,838 | {"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... | 4.875 | 5 | CC-MAIN-2018-43 | longest | en | 0.953457 | assistant```markdown
## Thoughts
The provided text is an explanation of different methods to solve differential equations. It does not contain any explicit instances where the writer realizes a mistake or a dead-end and decides to backtrack to try a different approach. The text is a straightforward presentation of vari... | assistant```markdown
## Thoughts
The provided text is an explanation of various methods for solving differential equations. It does not contain any explicit steps where the writer checks their work or verifies the correctness of the solutions provided. The text is more focused on explaining the methods and types of dif... | assistant
## Thoughts
The text contains several instances where the writer breaks down the process of solving differential equations into smaller, intermediate goals. For example, the separation method of variables is described as a series of steps: separating the variables, integrating the expression, and solving the ... | user555555555555555555555555555555555555555555555555555555555555555 | 0 | null | 0 | null |
https://dqydj.com/radius-calculator/ | 1,721,811,990,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763518198.93/warc/CC-MAIN-20240724075911-20240724105911-00512.warc.gz | 184,253,877 | 19,453 | # Radius Calculator: Compute Dimensions of a Circle
Written by:
PK
Below is a radius calculator, which will compute a circle's diameter, circumference, and area if you know the radius.
Do you know a different dimension? Instead try one of the other circle dimension calculators:
## What is a Circle's Radius?
The ra... | 480 | 2,176 | {"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... | 3.921875 | 4 | CC-MAIN-2024-30 | latest | en | 0.900569 | assistant```markdown
## Thoughts
The provided text is a description of a radius calculator and 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
## ... | assistant
## Thoughts
The text provided is a description of a radius calculator and the formulas used to calculate the diameter, circumference, and area of a circle. It does not contain any explicit steps where the writer checks their own work or verifies the correctness of the calculations.
## Does verification?
no
... | assistant
## Thoughts
The text describes the dimensions of a circle and provides formulas to calculate the diameter, circumference, and area given the radius. However, it does not break down the problem into smaller, intermediate goals or subgoals. It simply states the formulas and how to use them.
## Does subgoal set... | userEmptyEntries
user
## Thoughts
The provided text is a description of a radius calculator and the dimensions of a circle. It explains how to calculate the diameter, circumference, and area of a circle given the radius. The text does not exhibit backward-chaining behavior as it does not start from a goal and work back... | 0 | 0 | 0 | 0 |
https://www.aimsuccess.in/2017/12/questions-asked-in-ibps-so-prelims-exam_31.html | 1,725,862,800,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651072.23/warc/CC-MAIN-20240909040201-20240909070201-00789.warc.gz | 608,847,563 | 82,913 | # Questions Asked in IBPS SO Prelims Exam 31 December 2017
## Questions Asked in IBPS SO Prelims Exam 31 December 2017
The final exam of this year , IBPS SO Prelims Exam 2017 has begun and we know you have been eagerly waiting for the review and analysis of the IBPS SO Prelims Exam 2017. Considering the level of diff... | 2,424 | 8,614 | {"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... | 3.59375 | 4 | CC-MAIN-2024-38 | latest | en | 0.944515 | user
## Thoughts
The provided text is a summary of questions asked in the IBPS SO Prelims Exam on 31 December 2017. It includes questions from various sections such as Quant, Reasoning, English, and General Awareness. The text does not contain any instances where the writer realizes a path won't work and explicitly goe... | user
## Thoughts
The provided text is a summary of questions asked in the IBPS SO Prelims Exam on 31 December 2017. It includes questions from various sections such as Quant, Reasoning, English, and General Awareness. The text does not contain any explicit steps where the writer checks their own work or verifies the co... | assistant
## Thoughts
The provided text is a summary of questions asked in the IBPS SO Prelims Exam on December 31, 2017. It includes questions from various sections such as Quant, Reasoning, English, and General Awareness. The text does not contain any explicit breakdown of problems into smaller, intermediate goals. I... | assistant ## Thoughts
The provided text is a summary of questions asked in the IBPS SO Prelims Exam on December 31, 2017. It includes questions from various sections such as Quant, Reasoning, English, and General Awareness. The text does not contain any reasoning or problem-solving process that starts from a goal and w... | 0 | 0 | 0 | 0 |
https://converter.ninja/volume/us-dry-barrels-to-dry-quarts/711-drybarrel-to-dryquart/ | 1,685,744,063,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224648858.14/warc/CC-MAIN-20230602204755-20230602234755-00641.warc.gz | 222,391,670 | 5,440 | # 711 US dry barrels in dry quarts
## Conversion
711 US dry barrels is equivalent to 74654.3056705202 dry quarts.[1]
## Conversion formula How to convert 711 US dry barrels to dry quarts?
We know (by definition) that: $1\mathrm{drybarrel}\approx 104.999023446583\mathrm{dryquart}$
We can set up a proportion to solv... | 420 | 1,486 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "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, "mat... | 3.84375 | 4 | CC-MAIN-2023-23 | latest | en | 0.740496 | user5 | user55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 | user | user | null | null | null | null |
http://astronomyonline.org/Science/TemperatureConcepts.asp?Cate=Science&SubCate=MP06&SubCate2=MP040103 | 1,719,058,646,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198862396.85/warc/CC-MAIN-20240622112740-20240622142740-00168.warc.gz | 3,070,442 | 6,024 | Introduction Astronomy Tools Concepts 1. Electromagnetic Spectrum 2. Atmosphere Limitations 3. Space Observations Equipment 1. Telescopes 2. Radio 3. Space Tools 4. Photography 5. Spectroscopy 6. Computers 7. Advanced Methods 8. Radio Astronomy Basic Mathematics Algebra Statistics Geometry Scientific Notation Log Scale... | 654 | 2,995 | {"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... | 3.90625 | 4 | CC-MAIN-2024-26 | latest | en | 0.778337 | user
## Thoughts
The provided text is an explanation of temperature and its measurement in different scales (Celsius, Fahrenheit, and Kelvin). There is no indication of the writer realizing a mistake, needing to try a different approach, or abandoning a thought to go back to a previous computation. The text flows smoot... | user
## Thoughts
The provided text is an explanation of temperature and its measurement in different scales (Celsius, Fahrenheit, and Kelvin). It does not contain any explicit steps where the writer checks their work or verifies the correctness of any calculations or results.
## Does verification?
no
## Number of ans... | user
## Thoughts
The text provided is an explanation of the concept of temperature in physics, including different temperature scales and their conversions. There is no explicit breakdown of the problem into smaller, intermediate goals or steps. The text is more descriptive and explanatory in nature.
## Does subgoal s... | user
## Thoughts
The provided text is an explanation of the concept of temperature in physics, including different temperature scales and their conversions. There is no indication of backward-chaining behavior in the text. The text does not start from a goal and work backward to achieve it.
## Does the text exhibit ba... | 0 | 0 | 0 | 0 |
https://www.askiitians.com/forums/Mechanics/10/7529/kinematics-v2.htm | 1,695,342,260,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233506320.28/warc/CC-MAIN-20230922002008-20230922032008-00052.warc.gz | 716,862,666 | 43,963 | # THE FLOW SPEED OF WATER VARIES WITH THE DISTANCE FROM ITS STRAIGHT BANK AS V=(1m1/2s).z1/ 2 where z is the perpendicular distance in m from the bank A.SWIMMER ENTERS THE RIVER AT A POINT A ON THE BANK AND SWIMS AT 2m/s, IN A DIRN NORMAL TO RIVER FLOW. WHAT IS HIS DRIFT DOWNSTREAM BY THE TIME HIS NORMAL DISTANCE FROM... | 386 | 1,237 | {"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-2023-40 | latest | en | 0.845446 | assistant
## Thoughts
The provided text does not contain any explicit statements indicating that the writer has realized a mistake or that a different approach is needed. The text appears to be a straightforward solution to a physics problem without any indication of backtracking or reconsideration of the approach.
##... | PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes
PostalCodes | assistant
## Thoughts
The text provided is a solution to a physics problem involving the calculation of a swimmer's drift downstream in a river. The solution breaks down the problem into several steps, including calculating the time taken by the swimmer to swim a certain distance in the normal direction and then calcul... | assistant ## Thoughts
The provided text describes a physics problem involving the calculation of a swimmer's drift downstream in a river. The solution process does not start from the goal and work backward. Instead, it calculates the time taken for the swimmer to reach a certain distance from the bank and then uses tha... | 0 | 0 | null | 0 |
http://slideplayer.com/slide/2489124/ | 1,513,220,087,000,000,000 | text/html | crawl-data/CC-MAIN-2017-51/segments/1512948537139.36/warc/CC-MAIN-20171214020144-20171214040144-00184.warc.gz | 252,554,901 | 28,189 | # Market Power: Monopoly and Monopsony
## Presentation on theme: "Market Power: Monopoly and Monopsony"— Presentation transcript:
Market Power: Monopoly and Monopsony
Chapter 9
Review of Perfect Competition
P = LMC = LRAC Normal profits or zero economic profits in the long run Large number of buyers and sellers Homo... | 1,863 | 7,696 | {"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... | 3.515625 | 4 | CC-MAIN-2017-51 | latest | en | 0.892103 | assistant ## Thoughts
The provided text is a presentation transcript on market power, specifically focusing on monopoly and monopsony. The content is structured as a series of slides, each detailing aspects of these market structures. The text does not contain any explicit instances where the writer realizes a path won... | assistant ## Thoughts
The provided text is a presentation transcript on the topic of market power, specifically focusing on monopoly and monopsony. The text covers various aspects of these market structures, including their definitions, pricing strategies, and the effects of taxes and demand shifts. However, the text d... | assistant ## Thoughts
The text provided is a presentation transcript on market power, specifically focusing on monopoly and monopsony. It covers various aspects of these market structures, including how monopolies and monopsonies operate, their pricing strategies, and the effects on market outcomes. However, the text d... | assistant ## Thoughts
The provided text is a presentation transcript on market power, specifically focusing on monopoly and monopsony. The content primarily describes the characteristics, behaviors, and outcomes of monopolies and monopsonies, including how they set prices and make output decisions. However, the text do... | null | null | 0 | 0 |
http://classblogmeister.com/blog.php?blogger_id=334720&assignmentid=13659 | 1,369,513,963,000,000,000 | text/html | crawl-data/CC-MAIN-2013-20/segments/1368706298270/warc/CC-MAIN-20130516121138-00004-ip-10-60-113-184.ec2.internal.warc.gz | 53,293,608 | 22,787 | files/ -- Blogmeister
Ms. Jovanovich's Math Mumblings Jovanovich Mathematics This blog is for Miss Jovanovich's algebra and geometry classes to share ideas, ask questions, and reflect on what skills and topics we are studying. If we are lucky, we might even get a chance to connect with other students studying the same... | 9,383 | 34,432 | {"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... | 3.546875 | 4 | CC-MAIN-2013-20 | latest | en | 0.864713 | assistant
## Thoughts
The provided text does not contain any instances where the writer explicitly goes back to try a different approach or acknowledges a mistake and corrects it. The text consists of blog entries where students post review questions and their solutions, but there is no indication of backtracking behav... | assistant
## Thoughts
The text provided is a collection of blog entries from a math class. The entries often include review questions and explanations of answers, but they do not explicitly describe steps taken to verify the correctness of the answers provided. The explanations given are more about the reasoning behind... | assistant ## Thoughts
The provided text is a collection of blog entries from a math class. The entries are mostly about posting review questions for final exams and discussing some math problems. However, none of the entries explicitly break down the problems into smaller, intermediate goals that would constitute subgo... | assistant ## Thoughts
The text provided is a collection of blog entries from a math class. The entries are mostly about posting review questions for final exams and discussing some math problems. However, none of the entries demonstrate backward-chaining behavior as described in the task description. The entries do not... | 0 | 0 | 0 | 0 |
https://my-assignmentexpert.com/2022/02/28/%E7%89%A9%E7%90%86%E4%BB%A3%E8%80%83-stern-gerlach-experiment-%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%A6%E4%BB%A3%E5%86%99-2/ | 1,726,650,602,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651886.88/warc/CC-MAIN-20240918064858-20240918094858-00513.warc.gz | 358,809,970 | 22,691 | 19th Ave New York, NY 95822, USA
# 物理代考| Reduction of the Basis量子力学代写
## 物理代写
8.2 Reduction of the Basis
Let us try to formalize this measurement theory. Suppose we are looking at a single particle, and we have a complete set of the eigenfunctions of some hermitian operator with real eigenvalues at our disposal
$$F ... | 945 | 2,247 | {"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... | 3.671875 | 4 | CC-MAIN-2024-38 | latest | en | 0.533335 | user
## Thoughts
The provided text is a segment from a physics course, specifically discussing the reduction of the basis in quantum mechanics. The text does not contain any explicit statements indicating that the writer has realized a mistake or that a different approach is needed. There are no phrases like "Let me tr... | user | assistant
## Thoughts
The text describes a process in quantum mechanics where the wave function is reduced based on measurement outcomes. It outlines three specific scenarios (1), (2), and (3) that describe how the wave function is modified after a measurement. These scenarios can be considered as subgoals in the proce... | assistant ## Thoughts
The provided text is about the reduction of the basis in quantum mechanics. It describes the process of measurement theory and how the wave function is reduced based on the measurement outcomes. However, the text does not exhibit backward-chaining behavior. It does not start from a goal and work b... | 0 | 0 | null | 3 |
https://www.physicsforums.com/threads/finding-inverse-hyperbolic-secant-in-terms-of-logarithms.525407/ | 1,531,961,241,000,000,000 | text/html | crawl-data/CC-MAIN-2018-30/segments/1531676590362.13/warc/CC-MAIN-20180718232717-20180719012717-00572.warc.gz | 949,939,986 | 13,620 | # Homework Help: Finding Inverse Hyperbolic secant in terms of logarithms ?
1. Aug 29, 2011
### mahmoud2011
The Problem is when I Compute the Inverse I have to solutions
$sech^{-1}(x) = ln(\frac{1\pm \sqrt{1-x^{2}}}{x}) : 0<x\leq 1$
And this not function which of them I will choose
Another Question is how can I p... | 602 | 1,873 | {"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... | 3.90625 | 4 | CC-MAIN-2018-30 | latest | en | 0.864358 | user
## Thoughts
The writer does not explicitly state that they are backtracking or that they have made a mistake and need to try a different approach. They present their problem, show their work, and then refine their solution based on the definition of the inverse function. There is no indication of abandoning a thou... | assistant ## Thoughts
The text contains a verification step in the third post where the user checks the solutions for the inverse function by applying the definition of the inverse function to both proposed solutions, $h(x)$ and $g(x)$. The user verifies which function correctly acts as the inverse of $f(x) = sech(x)$ ... | assistant ## Thoughts
The text does not contain any explicit subgoal setting. The writer is asking for help with a problem and discussing their approach to solving it, but they do not break down the problem into smaller, intermediate goals in the way described in the task description.
## Does subgoal setting?
no
## N... | user
## Thoughts
The text does not exhibit backward-chaining behavior. The discussion revolves around the computation of the inverse hyperbolic secant and proving that the hyperbolic cosecant is one-to-one. The writer does not start from a goal and work backward to achieve it.
## Does the text exhibit backward chainin... | 0 | 0 | null | 0 |
https://edurev.in/t/187535/Refraction-Reflection-of-Plane-Waves-using-Huygens | 1,723,392,338,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641002566.67/warc/CC-MAIN-20240811141716-20240811171716-00470.warc.gz | 179,972,470 | 66,774 | Refraction & Reflection of Plane Waves using Huygens Principle
# Refraction & Reflection of Plane Waves using Huygens Principle | Physics Class 12 - NEET PDF Download
As we know that when light falls on an object, it bends and move through the material, this is what refraction is. Also when the light bounces off the ... | 1,521 | 6,797 | {"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... | 4.0625 | 4 | CC-MAIN-2024-33 | latest | en | 0.915797 | userFilterWhere did you find any backtracking behavior in the provided text? If so, could you explain where and what kind of backtracking it was? If not, please state that as well. | userFilterWhere are the verification steps in the provided text? Please evaluate and provide the count. | userFilterWhere did you find any subgoal setting in the text provided? If so, how many steps did you count? | assistant ## Thoughts
The provided text is an explanation of the refraction and reflection of plane waves using Huygens' principle. It does not contain any backward-chaining behavior. The text describes the principles and processes involved in refraction and reflection without starting from a goal and working backward.... | null | 0 | null | null |
https://tutorialspoint.dev/algorithm/dynamic-programming-algorithms/longest-increasing-path-matrix | 1,638,582,624,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964362923.11/warc/CC-MAIN-20211204003045-20211204033045-00618.warc.gz | 615,987,150 | 10,677 | # Longest Increasing Path in Matrix
Given a matrix of N rows and M columns. From m[i][j], we can move to m[i+1][j], if m[i+1][j] > m[i][j], or can move to m[i][j+1] if m[i][j+1] > m[i][j]. The task is print longest path length if we start from (0, 0).
Examples:
```Input : N = 4, M = 4
m[][] = { { 1, 2, 3, 4 },
{ 2, ... | 3,679 | 9,098 | {"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... | 3.65625 | 4 | CC-MAIN-2021-49 | latest | en | 0.647698 | user
## Thoughts
The provided text is a description of a problem and its solution, specifically for finding the longest increasing path in a matrix. The text includes a problem statement, examples, and code implementations in C++, Java, and Python. There is no indication of the writer realizing a path won't work and ex... | userHeaderCode
user
## Thoughts
The provided text describes an algorithm for finding the longest increasing path in a matrix and provides code implementations in C++, Java, and Python. The text and code do not contain any explicit steps where the writer checks their own work, such as comparing results to known values o... | userHeaderCode
user
## Thoughts
The text describes a problem and its solution for finding the longest increasing path in a matrix. The solution uses dynamic programming and breaks down the problem into smaller steps, such as calculating the longest increasing path for submatrices starting from different cells. However,... | userHeaderCode
user
## Thoughts
The provided text describes an algorithm for finding the longest increasing path in a matrix. The approach described is a dynamic programming solution that starts from the bottom-right corner of the matrix and moves towards the top-left corner. However, this is not an example of backward... | 0 | 0 | 0 | 0 |
https://www.physicsforums.com/threads/a-question-about-e-mc-2.816217/ | 1,531,801,488,000,000,000 | text/html | crawl-data/CC-MAIN-2018-30/segments/1531676589557.39/warc/CC-MAIN-20180717031623-20180717051623-00244.warc.gz | 948,265,113 | 20,084 | 1. May 28, 2015
### Deepak K Kapur
If i put c=d/t in
E=mc2, then E=m×d2/t2
Now take m=1kg and d=1m
Does this mean that E is inversely proportional to time?
2. May 28, 2015
### Fredrik
Staff Emeritus
No, that would be the case if there's a constant A such that E=A/t. If there's a constant A such that E=A/t2, that... | 2,517 | 8,849 | {"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... | 3.859375 | 4 | CC-MAIN-2018-30 | latest | en | 0.912886 | null | null | null | null | ||||
https://analyzemath.com/trigonometry/sine.htm | 1,695,806,198,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510284.49/warc/CC-MAIN-20230927071345-20230927101345-00480.warc.gz | 102,100,009 | 10,010 | # Sine Function sin x
## Definition and Graph of the Sine Function
We first consider angle ? with initial side on the positive x axis (in standard position) and terminal side OM as shown below.
The sine function is defined as
$\sin(\theta) = \dfrac{y}{r}$
where $r \$ is the distance from the origin O to any point M ... | 1,403 | 5,128 | {"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... | 4.625 | 5 | CC-MAIN-2023-40 | latest | en | 0.834031 | assistant
## Thoughts
The provided text is a detailed explanation of the sine function, its definition, and how to graph it. It also includes instructions on how to use an interactive applet to explore the effects of different parameters on the sine function. There is no indication of the writer realizing a mistake or ... | assistant ## Thoughts
The provided text is a detailed explanation of the sine function, its definition, and how to graph it. It also includes an interactive tutorial on how to explore the effects of different parameters on the sine function. However, the text does not contain any explicit steps where the writer checks ... | assistant ## Thoughts
The text provides a detailed explanation of the sine function, its definition, and how to plot its graph. It also discusses the general form of the sine function and how the parameters affect the graph. However, the text does not break down the problem into smaller, intermediate goals or steps tha... | user | 0 | null | 0 | 0 |
http://lastfiascorun.com/mexico/often-asked-what-is-a-space-figure.html | 1,670,004,235,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710909.66/warc/CC-MAIN-20221202150823-20221202180823-00875.warc.gz | 27,630,672 | 20,221 | # Often asked: What Is A Space Figure?
A space figure or three-dimensional figure is a figure that has depth in addition to width and height. Some common simple space figures include cubes, spheres, cylinders, prisms, cones, and pyramids. A space figure having all flat faces is called a polyhedron.
## What is the dif... | 956 | 4,508 | {"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-2022-49 | latest | en | 0.96243 | user
## 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 an informational piece about space figures, their definitions, examples, and some related topics. It does not contain any explicit steps where the writer checks their own work or verifies any calculations or results. The text is purely descriptive and does not include any veri... | assistant ## Thoughts
The provided text is an informational piece about space figures, their definitions, examples, and some related topics. It does not contain any explicit subgoal setting where the writer breaks down a problem into smaller, intermediate goals. The text is descriptive and does not involve solving a pr... | user
## Thoughts
The provided text is informational and does not contain any backward-chaining behavior. It describes what space figures are, their differences from other figures, examples, and their applications. There is no instance where the text starts with a goal and works backward to achieve it.
## Does the tex... | 0 | 0 | 0 | 0 |
https://www.emetor.com/glossary/reduction-of-coil-span/ | 1,620,931,928,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243991943.36/warc/CC-MAIN-20210513173321-20210513203321-00237.warc.gz | 770,345,025 | 4,025 | # Reduction of coil span
This value expresses the reduction of the coil span compared to full pitch. The higher the reduction of coil span, the shorter the end-turns of your winding.
In the Emetor winding calculator, the reduction of coil span compared to full pitch is expressed in number of slot pitches.
The reduct... | 502 | 1,817 | {"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... | 3.515625 | 4 | CC-MAIN-2021-21 | longest | en | 0.934098 | assistant```markdown
## Thoughts
The provided text is an explanation of the concept of coil span reduction in windings and does not contain any instances where the writer realizes a mistake or contradiction and decides to go back to try a different approach. The text is a straightforward explanation without any backtra... | 电磁理论中的线圈跨度减少
该值表示线圈跨度相对于全距的减少。线圈跨度的减少越大，绕组的端部越短。
在Emetor绕组计算器中，线圈跨度相对于全 | user
assistant ## Thoughts
The text provided is an explanation of the concept of coil span reduction in electrical windings. It does not contain any reasoning that starts from a goal and works backward to achieve it. The text is descriptive and informative, detailing how the reduction of coil span is calculated and wha... | 0 | 0 | null | null | |
http://answers.google.com/answers/threadview/id/598931.html | 1,409,666,653,000,000,000 | text/html | crawl-data/CC-MAIN-2014-35/segments/1409535922087.15/warc/CC-MAIN-20140909042638-00043-ip-10-180-136-8.ec2.internal.warc.gz | 19,666,474 | 4,072 | View Question
Question
Subject: Java Programming - Quadratic Equations Category: Computers > Programming Asked by: java_design-ga List Price: \$15.00 Posted: 29 Nov 2005 05:34 PST Expires: 30 Nov 2005 09:47 PST Question ID: 598931
```Design and develop a Java program that continuously computes and displays value(s) ... | 1,416 | 4,530 | {"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... | 3.65625 | 4 | CC-MAIN-2014-35 | longest | en | 0.822322 | user
## Thoughts
The provided text is a question and answer pair from a programming help forum. The question asks for a Java program to solve quadratic equations, and the answer provides a Java program that meets the requirements. There is no indication of any backtracking behavior in the text. The program is presented... | user
## Thoughts
The provided text is a Java program designed to solve quadratic equations. It includes logic to handle different cases based on the values of the coefficients (a, b, c) and the discriminant. However, the program does not explicitly check its own results or verify the correctness of the solutions it com... | assistant ## Thoughts
The provided text is a question and answer pair from a programming task. The question describes the requirements for a Java program to solve quadratic equations, including special cases and the expected output. The answer is a Java code snippet that implements the described functionality. The code... | assistant ## Thoughts
The provided text is a question and answer pair regarding the design and development of a Java program to solve quadratic equations. The text does not exhibit backward-chaining behavior. It provides a straightforward explanation of the problem and the solution, including the code for the program. ... | 0 | 0 | 0 | 0 |
http://oeis.org/A121505 | 1,553,575,309,000,000,000 | text/html | crawl-data/CC-MAIN-2019-13/segments/1552912204790.78/warc/CC-MAIN-20190326034712-20190326060712-00419.warc.gz | 149,737,694 | 3,698 | This site is supported by donations to The OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A121505 Hit triangle for unit circle area (Pi) approximation problem described in A121500. 1
1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... | 763 | 1,931 | {"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... | 3.796875 | 4 | CC-MAIN-2019-13 | latest | en | 0.651638 | assistant ## Thoughts
The provided text is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It does not contain any indication of the writer realizing a mistake or needing to go back to try a different approach. The text is a straightforward description of the sequence, its propert... | assistant ## Thoughts
The provided text is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It does not contain any explicit verification steps where the author checks their work, such as substituting values back into equations or testing formulas with specific cases. The text is m... | assistant ## Thoughts
The provided text is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It does not contain any explicit subgoal setting. The text describes the sequence, its properties, and how it is generated, but it does not break down the problem into smaller, intermediate ... | assistant ## Thoughts
The provided text is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It does not contain any reasoning or problem-solving process that starts from a goal and works backward. The text is purely descriptive and informational about the sequence and its propertie... | 0 | 0 | 0 | 0 |
https://brainmass.com/statistics/regression-analysis/using-minitab-perform-the-regression-and-correlation-analysis-508281 | 1,545,034,964,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376828448.76/warc/CC-MAIN-20181217065106-20181217091106-00419.warc.gz | 537,365,763 | 20,122 | Explore BrainMass
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# Using MINITAB, Perform the Regression and Correlation Analysis
This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!
Using MINITAB perform the regression and correlation analysis for the data on CREDIT BALANCE (Y) and SIZE (X) by answer... | 1,044 | 4,920 | {"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... | 3.75 | 4 | CC-MAIN-2018-51 | longest | en | 0.868203 | user
## Thoughts
The provided text is a set of instructions for performing a regression and correlation analysis using MINITAB software. The text does not contain any backtracking behavior. There are no instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The instr... | assistant
## Thoughts
The provided text is a set of instructions for performing a regression and correlation analysis using MINITAB software. It outlines a series of steps to analyze the relationship between CREDIT BALANCE and SIZE, and later, to include additional variables (INCOME, SIZE, and YEARS) in a multiple regr... | assistant
## Thoughts
The text provided is a set of instructions for performing a regression and correlation analysis using MINITAB. The instructions are detailed and structured, breaking down the process into multiple steps. Each step is a subgoal that contributes to the overall goal of analyzing the relationship betw... | assistant ## Thoughts
The provided text is a set of instructions for performing regression and correlation analysis using MINITAB software. It does not contain any reasoning that starts from a goal and works backward. Instead, it provides a sequence of steps to follow for conducting statistical analysis. The text is mo... | 0 | 0 | 0 | null |
https://www.o.vg/unit/speed/yard-second-to-picometer-second.php | 1,718,342,225,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861521.12/warc/CC-MAIN-20240614043851-20240614073851-00128.warc.gz | 830,006,804 | 10,495 | Convert Yard/second to Picometer/second | pm/s to yd/s
# document.write(document.title);
## yd/s to pm/s Converter
From yd/s to pm/s: 1 yd/s = 914400000003.66 pm/s;
From pm/s to yd/s: 1 pm/s = 1.0936132983333E-12 yd/s;
## How to Convert Yard/second to Picometer/second?
As we know One yd/s is equal to 9144000000... | 1,819 | 4,445 | {"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... | 3.90625 | 4 | CC-MAIN-2024-26 | latest | en | 0.706668 | assistant
## Thoughts
The text provided is a conversion guide for units of speed, specifically between Yard/second and Picometer/second. It does not contain any instances where the writer realizes a mistake or needs to backtrack to a previous approach. The text is straightforward and does not show any signs of the writ... | assistant
## Thoughts
The text provides conversion factors and examples for converting between Yard/second and Picometer/second, but it does not include any explicit steps where the writer checks their work or verifies the results of the conversions.
## Does verification?
no
## Number of answer verification steps
<co... | assistant
## Thoughts
The text provides conversion factors and examples for converting between Yard/second and Picometer/second, but it does not break down the conversion process into smaller, intermediate goals. The text simply states the conversion factor and provides examples of how to use it, without setting out a ... | assistant
## Thoughts
The text provided is a conversion guide for units of speed, specifically between Yard/second and Picometer/second. The text does not exhibit any backward-chaining behavior. It simply provides conversion factors and examples of how to convert between the two units. There is no instance where the wr... | 0 | 0 | 0 | 0 |
https://www.glassdoor.com/Interview/What-is-the-sum-of-1-40-QTN_42263.htm | 1,506,083,571,000,000,000 | text/html | crawl-data/CC-MAIN-2017-39/segments/1505818688940.72/warc/CC-MAIN-20170922112142-20170922132142-00706.warc.gz | 799,628,449 | 57,447 | UBS Interview Question: What is the sum of 1-40?... | Glassdoor
# What is the sum of 1-40?
0
820
Interview Candidate on Feb 11, 2010
2
We can have the sum by using the following formula
N * (N + 1) / 2
So we have:
40 * (40 + 1) / 2 = 820
blue on Mar 21, 2010
0
Since he isn't asking to sum all the numbers from 1... | 310 | 813 | {"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... | 3.890625 | 4 | CC-MAIN-2017-39 | latest | en | 0.873766 | assistant```markdown
## Thoughts
The text provided is a series of comments from an interview question on Glassdoor about the sum of numbers from 1 to 40. Each comment provides a different approach or formula to solve the problem, but none of the comments show a writer realizing a mistake or explicitly going back to try... | assistant ## Thoughts
The text provided contains several responses to the interview question about the sum of numbers from 1 to 40. However, none of the responses explicitly check their own work or verify the result through a comparison or additional calculation.
## Does verification?
no
## Number of answer verificat... | assistant ## Thoughts
The text provided contains multiple responses to the interview question about the sum of numbers from 1 to 40. Among these responses, one user (scienceguy) describes a method to solve the problem by breaking it down into smaller steps: pairing numbers from the ends towards the center and multiplyi... | assistant ## Thoughts
The text provided contains multiple responses to the question of finding the sum of numbers from 1 to 40. Among these responses, the one by "scienceguy" on Jan 11, 2011, exhibits backward-chaining behavior. This response starts with the goal of finding the sum and then works backward by pairing nu... | 0 | 1 | 0 | null |
http://gpuzzles.com/mind-teasers/funny-new-year-riddle/ | 1,487,915,491,000,000,000 | text/html | crawl-data/CC-MAIN-2017-09/segments/1487501171416.74/warc/CC-MAIN-20170219104611-00533-ip-10-171-10-108.ec2.internal.warc.gz | 106,638,790 | 13,515 | • Views : 40k+
• Sol Viewed : 10k+
# Mind Teasers : Funny New Year Riddle
Difficulty Popularity
What are these ?
January first 2010 => 800 X 600
January first 2011 => 1280 X 1024
January first 2012 => 600 X 1200
Discussion
Suggestions
• Views : 70k+
• Sol Viewed : 20k+
# Mind Teasers : Tricky Math Race Riddle
Di... | 1,562 | 6,310 | {"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... | 3.65625 | 4 | CC-MAIN-2017-09 | longest | en | 0.918903 | user="? | user
## Thoughts
The provided text is a riddle about a pattern observed in dates and resolutions. It does not contain any explicit steps where the writer checks their own work or verifies a result. The text is more descriptive and does not involve any calculations or logical checks that would require verification.
## ... | user="? | user="? | null | null | 0 | null |
https://math.stackexchange.com/questions/4591726/fracab4-fracbc4-fraccd4-fracde4-fracea4 | 1,721,677,653,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763517915.15/warc/CC-MAIN-20240722190551-20240722220551-00176.warc.gz | 318,427,534 | 37,511 | # $(\frac{a}{b})^4+(\frac{b}{c})^4+(\frac{c}{d})^4+(\frac{d}{e})^4+(\frac{e}{a})^4\ge\frac{b}{a}+\frac{c}{b}+\frac{d}{c}+\frac{e}{d}+\frac{a}{e}$
How exactly do I solve this problem? (Source: 1984 British Math Olympiad #3 part II)
$$\begin{equation*} \bigl(\frac{a}{b}\bigr)^4 + \bigl(\frac{b}{c}\bigr)^4 + \bigl(\frac... | 874 | 2,261 | {"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... | 3.90625 | 4 | CC-MAIN-2024-30 | latest | en | 0.820644 | assistant ## Thoughts
The text provided does not contain any explicit instances of the writer realizing a path won't work and then going back to try a different approach. The writer mentions different strategies they have tried (AM-GM, Power Mean Inequality, and harmonic mean) but does not indicate abandoning a specifi... | assistant ## Thoughts
The text provided is a discussion about solving an inequality problem from the 1984 British Math Olympiad. The discussion includes attempts to solve the problem using different strategies such as AM-GM and Lagrange multipliers. However, the text does not contain any explicit verification steps whe... | assistant ## Thoughts
The text describes an attempt to solve an inequality problem from a math olympiad. The writer mentions considering the use of AM-GM and Power Mean Inequality but does not explicitly break down the problem into smaller, intermediate goals. However, later in the text, a user named NN2 provides a sol... | assistant ## Thoughts
The text provided does not exhibit backward-chaining behavior. The writer is asking for help in solving a mathematical inequality and discusses some strategies they have tried, such as using the AM-GM inequality. The solution provided by NN2 uses a forward approach to prove the inequality by apply... | 0 | 0 | 0 | null |
javaterritory.blogspot.com | 1,603,367,311,000,000,000 | text/html | crawl-data/CC-MAIN-2020-45/segments/1603107879537.28/warc/CC-MAIN-20201022111909-20201022141909-00295.warc.gz | 55,971,916 | 24,287 | ## Oct 13, 2015
### Optimizing Bubble Sort Algorithm
Having been in Java world for around 5 years, I believe Bubble Sort is the probably simplest and widely used sorting algorithm that works by repeatedly swapping the adjacent elements if they are not in the right order. However, with just a little tweaking, it’s pos... | 810 | 3,109 | {"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-2020-45 | latest | en | 0.778681 | user
## Thoughts
The text provided is a detailed explanation of the Bubble Sort algorithm and its optimization. There is no indication of the writer realizing a mistake or needing to go back to a previous step to try a different approach. The text is a straightforward explanation without any backtracking behavior.
## ... | user
## Thoughts
The text describes the Bubble Sort algorithm and its optimization but does not include any explicit steps to verify the correctness of the algorithm or its results. The text focuses on explaining the algorithm and its optimization, but there are no instances where the author checks the result against a... | user
## Thoughts
The text describes the Bubble Sort algorithm and its optimization. It breaks down the process of sorting an array into multiple passes, where each pass moves the largest unsorted element to its correct position. The optimization part introduces a flag to detect if the array is already sorted, which sto... | assistant
## Thoughts
The text provided is a detailed explanation of the Bubble Sort algorithm and its optimization. It does not contain any instances where the writer starts from a goal and works backward to achieve it. The text is more focused on explaining the process and optimization of the algorithm rather than wo... | 0 | 0 | 0 | null |
https://quadraticequation.org/quadratic-formula-calculator | 1,696,434,551,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233511386.54/warc/CC-MAIN-20231004152134-20231004182134-00399.warc.gz | 497,662,278 | 5,134 | ## ax2 + bx + c = 0
The quadratic formula calculator is an online calculator to solve a standard quadratic equation using the Quadratic Formula, which is -
Roots(x1, x2) = −b ± √ b2 − 4ac 2a
After solving the quadratic equation using a quadratic formula calculator, we get two values:
x1 = −b + √ b2 − 4ac 2a
... | 703 | 2,200 | {"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... | 4.59375 | 5 | CC-MAIN-2023-40 | latest | en | 0.876733 | user
## Thoughts
The provided text is a straightforward explanation of how to use a quadratic formula calculator to solve a quadratic equation. There are no instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text does not contain any phrases like "Let me try ... | user
## Thoughts
The text describes the process of using a quadratic formula calculator to solve a quadratic equation. It provides a step-by-step guide on how to use the calculator, including converting the equation to standard form, identifying the coefficients, and applying the quadratic formula. However, the text do... | user
## Thoughts
The text provides a step-by-step guide on how to use a quadratic formula calculator. It breaks down the process into three steps: converting the equation to standard form, finding the coefficients, and applying the quadratic formula. Each step represents a subgoal in the process of solving a quadratic ... | assistant ## Thoughts
The provided text describes the process of using a quadratic formula calculator to solve a quadratic equation. It does not start from a goal and work backward to achieve it. Instead, it follows a forward approach by explaining the steps to convert a quadratic equation into standard form and then u... | 0 | 0 | 0 | 3 |
https://www.thestudentroom.co.uk/showthread.php?t=6991066 | 1,708,936,733,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474653.81/warc/CC-MAIN-20240226062606-20240226092606-00727.warc.gz | 1,043,375,801 | 39,149 | # Mechanics Question
A lift of mass Mkg is being raised by a vertical cable attached to the top of the lift. A person of mass mkg stands on the floor inside the lift, as shown in Figure 1. The lift ascends vertically with constant acceleration 1.4 m s. The tension in the cable is 2800 N and the person experiences a co... | 680 | 2,636 | {"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... | 4.15625 | 4 | CC-MAIN-2024-10 | latest | en | 0.918106 | assistant```markdown
## 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 text is more of a discussion where one user (Drogonmeister) points out an error in the initial approach but does not backtrack in their ow... | user | assistant ## Thoughts
The text does not explicitly break down the problem into smaller, intermediate goals. Instead, it provides a direct approach to solving the problem by applying Newton's second law to the person and the lift separately. There is no clear indication of subgoal setting, such as "first do this, then d... | assistant ## Thoughts
The text provided does not exhibit backward-chaining behavior. The explanations and calculations provided are forward-chaining, starting from the given information and applying Newton's laws to derive the equations of motion for the lift and the person. The corrections suggested also follow a simi... | 0 | 0 | null | 0 |
https://brainly.in/question/294417 | 1,485,307,357,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560285337.76/warc/CC-MAIN-20170116095125-00081-ip-10-171-10-70.ec2.internal.warc.gz | 793,960,032 | 10,334 | # What is the volume of a sphere whose TSA is 616cm
2
by Sandheep
2016-03-05T22:00:07+05:30
Given that
tsa of the sphere = 616
4πr² = 616
r² = 616×7/22×4
r² = 49
r = 7cm
then the volume of the sphere = 4/3πr³
= 4/3×22/7×7×7×7
= 1437.33cm
yes
ok once observe from the pitcher then you will understand | 137 | 304 | {"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... | 3.796875 | 4 | CC-MAIN-2017-04 | latest | en | 0.855968 | 5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 | SupportedContent
2 | assistant```markdown
## Thoughts
The text provided is a solution to finding the volume of a sphere given its total surface area (TSA). The writer calculates the radius of the sphere from the TSA and then uses the radius to find the volume. However, the text does not explicitly break down the problem into smaller, inter... | user33333333333333333333333333333333333333333333333333 | null | null | null | 0 |
https://besttech247.com/check-if-a-and-b-can-be-reduced-to-0-by-decrementing-with-x-and-y-with-absolute-difference-at-most-k/ | 1,695,354,940,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233506329.15/warc/CC-MAIN-20230922034112-20230922064112-00437.warc.gz | 145,436,604 | 78,282 | Thursday, September 21, 2023
HomeSoftware DevelopmentVerify if A and B could be lowered to 0 by decrementing...
# Verify if A and B could be lowered to 0 by decrementing with x and y with absolute distinction at most Okay
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Given three integers A, B, and K. The task is to check whether A and B can be reduced to... | 865 | 2,482 | {"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... | 4.15625 | 4 | CC-MAIN-2023-40 | latest | en | 0.727533 | user
## Thoughts
The provided text describes a problem and its solution without any indication of the writer realizing a mistake or needing to go back to a previous step to try a different approach. The explanation and the code implementation are straightforward and do not show any backtracking behavior.
## Does backt... | user
## Thoughts
The text describes a problem and its solution, providing an algorithm to determine if two numbers can be reduced to zero under certain conditions. It includes examples and code implementations in C++ and Python. However, there are no explicit steps taken to verify the correctness of the solution or the... | assistant
## Thoughts
The text describes an approach to solve a problem where the goal is to check if two numbers, A and B, can be reduced to zero by decrementing them with values x and y, respectively, under the condition that the absolute difference between x and y is at most K. The approach involves finding the mini... | assistant ## Thoughts
The text describes a problem and its solution approach, but it does not start from the goal and work backward. Instead, it provides a direct approach to solving the problem by comparing the minimum and maximum values of A and B with a condition involving K. There is no evidence of backward-chainin... | 0 | 0 | 0 | 0 |
https://math.stackexchange.com/questions/767888/math-for-future-value-of-growing-annuity | 1,597,311,740,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439738964.20/warc/CC-MAIN-20200813073451-20200813103451-00073.warc.gz | 395,301,204 | 34,016 | Math for Future Value of Growing Annuity
Am I working this out correctly? I need to verify that my code is correct...
$$1000 \cdot \left(\frac{(1 + 0.1 / 12)^{40 * 12} - (1 + 0.06 / 12)^{40 * 12}}{(0.1 / 12) - (0.06 / 12)}\right)$$
Something like this:
53.700663174244 - 10.957453671655 ( = 42.7432095026 )
/
0.00833... | 1,030 | 3,194 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2020-34 | latest | en | 0.778724 | 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 writer is asking for verification of their calculations and providing context for a complex financial formula, but there is no indication of backtrack... | user
## Thoughts
The text expresses a desire to verify the correctness of the math and code but does not provide any explicit steps to verify the results. The writer asks for help and mentions the need to verify the math, but there are no specific actions taken to check the results of the calculations.
## Does verific... | user
## Thoughts
The text does not contain any explicit subgoal setting. The writer is asking for verification of their calculations and providing context for a financial calculation related to the future value of a growing annuity. They are not breaking down the problem into smaller, intermediate goals.
## Does subgo... | assistant ## Thoughts
The text provided does not contain any explicit backward-chaining behavior. The writer is asking for verification of their calculations and formulas related to the future value of a growing annuity. They are not starting from a goal and working backward to achieve it. Instead, they are presenting ... | 0 | 0 | 0 | 0 |
http://www.mathynomial.com/problem/1583 | 1,529,726,489,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267864940.31/warc/CC-MAIN-20180623035301-20180623055301-00218.warc.gz | 442,132,661 | 3,620 | # Problem #1583
1583 Every high school in the city of Euclid sent a team of $3$ students to a math contest. Each participant in the contest received a different score. Andrea's score was the median among all students, and hers was the highest score on her team. Andrea's teammates Beth and Carla placed $37$th and $64$... | 346 | 1,244 | {"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": 0, "img_math": 4, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.546875 | 4 | CC-MAIN-2018-26 | latest | en | 0.902814 | user
## Thoughts
The provided text is a problem statement from a math contest and does not contain any backtracking behavior. It simply presents a problem and the possible answers without any indication of the writer reconsidering or changing their approach.
## Does backtrack?
no
## Number of backtrack steps
<count>0... | user"description": "No explicit verification steps were found in the provided text. The text is a problem statement without any solution or steps to verify the correctness of a solution." | user322 | user
## Thoughts
The problem does not explicitly describe a reasoning process that starts from a goal and works backward. Instead, it presents a scenario and asks for a solution based on the given information. The solution process would likely involve forward reasoning to determine the number of schools based on the ra... | 0 | 0 | null | null |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1-common-core-15th-edition/chapter-8-polynomials-and-factoring-chapter-review-page-537/51 | 1,685,266,500,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224643663.27/warc/CC-MAIN-20230528083025-20230528113025-00098.warc.gz | 881,314,541 | 13,921 | ## Algebra 1: Common Core (15th Edition)
$(d-15)(d-3)$
To factor a trinomial in the form $d^2+bd+c$, we must find two numbers whose product is $c$ and whose sum is $b$. We then insert these two numbers into the blanks of the factors $(d+\_)(d+\_)$. In the case of $d^2-18d+45$, we are looking for two numbers whose prod... | 178 | 544 | {"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... | 4.46875 | 4 | CC-MAIN-2023-23 | latest | en | 0.83866 | assistant```markdown
## 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 describes a straightforward process of factoring a trinomial without any indication of errors or the need to backtrack.
## Does ba... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 | assistant```markdown
## Thoughts
The text describes the process of factoring a trinomial, but it does not break down the process into explicit intermediate steps or subgoals. It provides the criteria for finding the numbers that fit the form of the trinomial and directly arrives at the factors without outlining a step-... | 提供的文本中没有展示出反向链接的行为。该文本描述了如何通过寻找两个数（其乘积为c，和为b）来因式分解一个二次三项式，但并没有从目标结果开始反向推导的过程。
## Thoughts
该文本描述了如何通过寻找两个数（其乘积为c，和为b）来因 | 0 | null | null | 0 |
https://testbook.com/question-answer/if-surface-tension-s-moment-of-inertia-i-and--5e230be5f60d5d3b87e1be08 | 1,638,718,575,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964363189.92/warc/CC-MAIN-20211205130619-20211205160619-00504.warc.gz | 619,027,553 | 31,762 | # If Surface tension (S), Moment of Inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:
This question was previously asked in
JEE Mains Previous Paper 1 (Held On: 08 Apr 2019 Shift 2)
View all JEE Main Papers >
1. S1⁄2I3⁄2h-1
2. S1⁄2I1... | 856 | 1,991 | {"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... | 3.796875 | 4 | CC-MAIN-2021-49 | latest | en | 0.617093 | assistant
## Thoughts
The provided text is a detailed solution to a physics problem involving dimensional analysis. The writer does not express any realization of a mistake or the need to go back and try a different approach. The solution proceeds in a straightforward manner without any indication of backtracking.
## ... | assistant
## Thoughts
The text provided is a detailed solution to a physics problem involving dimensional analysis to find the dimensional formula for linear momentum using surface tension, moment of inertia, and Planck's constant as fundamental units. The solution involves solving a system of equations to find the exp... | user
## Thoughts
The provided text is a detailed solution to a physics problem involving dimensional analysis. The solution does not start from a goal and work backward. Instead, it starts with the given dimensions and equations and works forward to find the values of the exponents. There is no backward-chaining behavi... | 0 | 0 | 0 | null | |
http://mathhelpforum.com/algebra/25170-havent-clue.html | 1,481,277,357,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698542693.41/warc/CC-MAIN-20161202170902-00131-ip-10-31-129-80.ec2.internal.warc.gz | 177,096,299 | 11,044 | 1. ## havent a clue!
havent a clue!
6x2+x-15=0
2. Originally Posted by jenko
havent a clue!
6x2+x-15=0
Let's try this using the method I posted in your other thread.
Mulitply 6 and -15: -90
Now list all pairs of factors of -90:
1, -90
2, -45
3, -30
6, -15
9, -10
10, -9
15, -6
30, -3
45, -2
90, -1
Now which of th... | 526 | 1,500 | {"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": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2016-50 | longest | en | 0.93816 | assistant```markdown
## 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 text is more about explaining a method to solve a quadratic equation and sharing personal experiences with learning mathematics. There is ... | assistant ## Thoughts
The text provided is a discussion about solving a quadratic equation. The solver goes through the steps of factoring the equation but does not explicitly check the solution by substituting the values back into the original equation or by any other means to verify the correctness of the solution.
... | assistant ## Thoughts
The text provided contains a detailed explanation of solving a quadratic equation. The writer breaks down the process into several steps, which can be considered as subgoals. The steps include listing the factors of the product of the coefficients, identifying the pair that adds up to the middle c... | assistant ## Thoughts
The text provided does not contain any backward-chaining behavior. The text is a discussion about solving a quadratic equation using a specific method, but it does not start from the goal and work backward. Instead, it starts with the equation and proceeds step-by-step to find the solution.
## Do... | 0 | 0 | 0 | null |
http://nrich.maths.org/1272/note?nomenu=1 | 1,386,497,015,000,000,000 | text/html | crawl-data/CC-MAIN-2013-48/segments/1386163064915/warc/CC-MAIN-20131204131744-00073-ip-10-33-133-15.ec2.internal.warc.gz | 134,720,435 | 4,217 | ## Got It
Got It is an adding game for two players. You can play against the computer or with a friend. It is a version of a well known game called Nim.
Start with the Got It target $23$.
The first player chooses a whole number from $1$ to $4$ .
Players take turns to add a whole number from $1$ to $4$ to the runnin... | 814 | 3,711 | {"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... | 3.828125 | 4 | CC-MAIN-2013-48 | longest | en | 0.937804 | user
## Thoughts
The text provided is a description of a game called "Got It" and 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 instructional and does not involve any backtracking behavior.
## Does backtrack?
no
## Number o... | user
## Thoughts
The text describes a game called Got It and provides a strategy for playing it. It does not contain any explicit verification steps where the writer checks their work or the results of their calculations against known values or constraints.
## Does verification?
no
## Number of answer verification st... | user
## Thoughts
The text describes a game called "Got It" and provides a strategy for playing it. It mentions finding a winning strategy and working systematically, conjecturing, refining ideas, and using knowledge of factors and multiples. The "Possible approach" section suggests thinking about the 'stepping stones' ... | assistant ## Thoughts
The text provided is a description of a game called "Got It" and strategies for playing it. It does not contain any explicit backward-chaining behavior as described in the task description. The text focuses on strategies and questions to consider while playing the game, but it does not start from ... | 0 | 0 | 0 | 0 |
https://www.jiskha.com/questions/357325/What-is-the-Domain-and-Range-of-the-Radical-Parent-function | 1,568,590,177,000,000,000 | text/html | crawl-data/CC-MAIN-2019-39/segments/1568514572436.52/warc/CC-MAIN-20190915215643-20190916001643-00136.warc.gz | 899,282,215 | 4,785 | # algebra 2
What is the Domain and Range of the Radical Parent function
1. 👍 0
2. 👎 0
3. 👁 35
1. Check some of the following sites:
Sra (PS = this is ALGEBRA?)
1. 👍 0
2. 👎 0
## Similar Questions
1. ### algebra 2
What is the Domain and Range of the Radical Parent function
asked by Andrew on May 8, 2010
2. #... | 907 | 2,724 | {"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... | 3.96875 | 4 | CC-MAIN-2019-39 | latest | en | 0.881118 | userHeaderCode not found: responseHeaderCode | assistant
## Thoughts
The provided text does not contain any verification steps. The text is a question about the domain and range of the radical parent function, followed by a response that suggests checking some websites for the answer. There is no explicit checking or verification of any calculations or results.
##... | assistant
## Thoughts
The text provided does not contain any explicit subgoal setting. The text is a question about the domain and range of a radical parent function, followed by a series of comments and another question. There are no steps or intermediate goals outlined for solving the problem.
## Does subgoal settin... | assistant
## Thoughts
The provided text does not contain any backward-chaining behavior. The text is a question about the domain and range of a radical parent function, followed by a response directing the reader to check some unspecified sites. There is no reasoning or working backward from a goal to a starting point.... | null | 0 | 0 | 0 |
https://brilliant.org/discussions/thread/division-of-polynomial-by-quadratic/ | 1,529,680,810,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267864546.30/warc/CC-MAIN-20180622143142-20180622163142-00153.warc.gz | 551,067,847 | 20,829 | # Division of Polynomial by quadratic
There was a question in which it was asked to find the remainder when $$x^{100}$$ is divided by $$x^2-3x+2$$. However I somehow manged to solve this question. But then I thought what would be the general case of this; that is---
What is the remainder when $$f(x)$$ is divided by
... | 1,380 | 3,579 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.921875 | 4 | CC-MAIN-2018-26 | latest | en | 0.828876 | 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. 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 text is a discussion on ... | user
## Thoughts
The text provided does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text is more focused on explaining the process of finding the remainder when a polynomial is divided by a qu... | user
## Thoughts
The text provided does not contain any backward-chaining behavior. The writer is explaining the process of finding the remainder when a polynomial is divided by a quadratic expression, but the explanation does not start from the goal and work backward. Instead, it provides a direct method to find the r... | 0 | 0 | 0 | null | |
https://takechargeofyourmoney.blog/category/calculate-savings/ | 1,498,392,808,000,000,000 | text/html | crawl-data/CC-MAIN-2017-26/segments/1498128320491.13/warc/CC-MAIN-20170625115717-20170625135717-00612.warc.gz | 816,117,911 | 19,665 | ## How to calculate the interest you can earn
Here’s a quick explanation on how to calculate the interest that you can earn on your savings (or pay on your debt).
Let’s use an example of R1,500 (don’t worry about the currency – the maths is the same) and you deposit it in your bank account that earns 3.5% interest.
... | 2,574 | 11,078 | {"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... | 4.3125 | 4 | CC-MAIN-2017-26 | longest | en | 0.956167 | 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 a series of explanations and instructions on financial management and investment calculations, without any indication of the writer backtra... | assistant
## Thoughts
The provided text does not contain any explicit verification steps where the writer checks their own work, such as by comparing results to known values or rechecking calculations. The text is more focused on explaining financial concepts and providing advice on saving money, without including step... | assistant
## Thoughts
The text contains several sections, but the most relevant for subgoal setting is the "Find Extra Money" section. Here, the writer breaks down the process of finding extra money into a series of steps, which can be considered subgoals. Each step is a distinct action that contributes to the overall ... | user);); | 0 | null | 0 | null |
http://gmatclub.com/forum/if-c-and-d-are-positive-is-d-an-integer-136173.html?fl=similar | 1,484,892,105,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560280791.35/warc/CC-MAIN-20170116095120-00438-ip-10-171-10-70.ec2.internal.warc.gz | 114,271,620 | 57,905 | If c and d are positive, is d an integer ? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 19 Jan 2017, 22:01
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performa... | 1,363 | 4,517 | {"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... | 4.125 | 4 | CC-MAIN-2017-04 | latest | en | 0.854338 | user
## Thoughts
The text provided is a GMAT Data Sufficiency question and its discussion. There is no indication of the writer backtracking or realizing a mistake in their approach. The text simply presents the problem and a user's solution without any signs of reconsideration or correction.
## Does backtrack?
no
##... | userdefgroup
user
user
user
user
user
user
user
user | user
## Thoughts
The text does not contain any explicit subgoal setting. The text is a GMAT problem and its discussion, but it does not break down the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</count> | user
## Thoughts
The text provided is a GMAT Data Sufficiency question and does not contain any backward-chaining behavior. The question is asking whether a variable 'd' is an integer given certain conditions, and the provided statements are used to determine sufficiency for answering the question. The reasoning in the... | 0 | null | null | 0 |
https://alison.com/pt-BR/t%C3%B3pico/aprender/27832/esempio-di-ammortamento | 1,590,630,031,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590347396300.22/warc/CC-MAIN-20200527235451-20200528025451-00087.warc.gz | 240,983,578 | 60,208 | {
br
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Ajustes de dia de equilíbrio no diário geral e ledger
# Exemplo de Depreciação
• Study Reminders
#### Set your study reminders
We'll email you at these times to remind you to study
You can set up to 7 reminders per week
#### You're all set
We'll email you at these ti... | 591 | 2,223 | {"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-2020-24 | latest | en | 0.885428 | assistant
## Thoughts
The text provided does not contain any explicit instances of backtracking. The content is a series of comments and questions related to depreciation in accounting, without any indication of the writer realizing a mistake or needing to go back to a previous approach.
## Does backtrack?
no
## Numb... | user | user | user
## Thoughts
The text provided does not contain any instances where the reasoning starts from a goal and works backward. The text mainly consists of examples and questions related to depreciation and accounting entries, but does not demonstrate backward-chaining behavior as described in the task description.
## Do... | 0 | 0 | null | null |
https://byjus.com/rd-sharma-solutions/class-12-maths-chapter-21-area-bounded-regions-exercise-21-4/ | 1,627,892,838,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046154310.16/warc/CC-MAIN-20210802075003-20210802105003-00693.warc.gz | 170,690,273 | 152,527 | RD Sharma Solutions Class 12 Area Bounded Regions Exercise 21.4
RD Sharma Solutions for Class 12 Maths Exercise 21.4 Chapter 21 Areas of Bounded Regions is the most preferred study material due to its unique description of the concepts. In this RD Sharma Solutions for Class 12 Maths Chapter 21, a distinctive attempt i... | 1,360 | 3,136 | {"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... | 4.875 | 5 | CC-MAIN-2021-31 | latest | en | 0.862836 | 提供的文本中没有表现出任何回溯行为。所有的解题过程都是直接进行的，没有 | SupportedContent | null | null | null | null | ||
https://proofwiki.org/wiki/Real_Sequence_with_Nonzero_Limit_is_Eventually_Nonzero | 1,597,047,247,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439738653.47/warc/CC-MAIN-20200810072511-20200810102511-00438.warc.gz | 462,985,254 | 9,027 | # Real Sequence with Nonzero Limit is Eventually Nonzero
## Theorem
Let $\sequence {x_n}$ be a real sequence.
Let $\sequence {x_n}$ converge to $a \ne 0$.
Then:
$\exists N \in \N: \forall n \ge N: x_n \ne 0$
That is, eventually every term of $\sequence {x_n}$ becomes non-zero.
## Proof
Suppose $a > 0$.
$\exist... | 200 | 540 | {"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... | 3.703125 | 4 | CC-MAIN-2020-34 | latest | en | 0.685643 | user
## Thoughts
The provided text is a formal mathematical theorem and its proof. The proof is presented in a straightforward manner, without any indication of the writer realizing a mistake or needing to go back to try a different approach. There are no phrases or sentences that suggest backtracking behavior.
## Doe... | 2 | assistant```markdown
## Thoughts
The provided text is a theorem and its proof in real analysis. The proof does not break down the problem into smaller, intermediate goals. Instead, it directly addresses the two cases where the limit $a$ is greater than zero and less than zero, without setting explicit subgoals for solv... | 0 | 0 | null | null | 0 |
http://es.mathworks.com/help/aeroblks/llatoflatearth.html?requestedDomain=es.mathworks.com&nocookie=true | 1,474,818,181,000,000,000 | text/html | crawl-data/CC-MAIN-2016-40/segments/1474738660242.52/warc/CC-MAIN-20160924173740-00178-ip-10-143-35-109.ec2.internal.warc.gz | 85,426,136 | 11,701 | LLA to Flat Earth
Estimate flat Earth position from geodetic latitude, longitude, and altitude
Library
Utilities/Axes Transformations
Description
The LLA to Flat Earth block converts a geodetic latitude $\left(\overline{\mu }\right)$, longitude $\left(\overline{\iota }\right)$, and altitude (h) into a 3-by-1 vecto... | 1,145 | 4,483 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 10, "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... | 3.515625 | 4 | CC-MAIN-2016-40 | latest | en | 0.582089 | assistant```markdown
## Thoughts
The provided text is a detailed description of the process to convert geodetic coordinates (latitude, longitude, and altitude) to a flat Earth position. The text does not contain any instances where the writer realizes a mistake or contradiction and explicitly goes back to try a differe... | user
## Thoughts
The provided text describes a mathematical process for converting geodetic coordinates to flat Earth coordinates. It provides formulas and parameters but does not include any explicit steps to verify the correctness of the calculations or results.
## Does verification?
no
## Number of answer verifica... | assistant ## Thoughts
The text describes a process for converting geodetic coordinates to flat Earth coordinates. It outlines several steps in the process, such as calculating small changes in latitude and longitude, determining the radii of curvature, and converting North and East positions to flat Earth coordinates. ... | user
## Thoughts
The text describes a method for converting geodetic coordinates to flat Earth coordinates. It does not start from a goal and work backward to achieve it. Instead, it provides a forward process for the conversion, detailing the steps and formulas used to achieve the transformation. There is no indicatio... | 0 | 0 | 0 | 0 |
https://www.jiskha.com/display.cgi?id=1384148780 | 1,503,469,765,000,000,000 | text/html | crawl-data/CC-MAIN-2017-34/segments/1502886117874.26/warc/CC-MAIN-20170823055231-20170823075231-00079.warc.gz | 897,579,167 | 4,210 | # Math-Algebra
posted by .
The pressure of a gas varies directly as its temperature. IF the pressure of a gas is 200 pounds per square inch (lb/in^2) at a temperature of 65.5 degrees C, what is the pressure of the gas when the temperature is 250 degrees F?
• Math-Algebra -
The pressure of a gas varies directly as i... | 869 | 3,390 | {"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... | 3.859375 | 4 | CC-MAIN-2017-34 | latest | en | 0.889251 | user [-]: The provided text does not contain any instances of backtracking behavior. The writer does not express any realization of a mistake or the need to go back to a previous step to try a different approach. The explanation is straightforward and does not involve any corrections or retracing of steps.
## Thoughts... | assistant
## Thoughts
The provided text describes a calculation to find the pressure of a gas at a different temperature, given its pressure and temperature at an initial state. The text does not contain any explicit steps to verify the correctness of the calculated pressure. The writer does not mention checking the re... | assistant
## Thoughts
The text provided does not contain any explicit subgoal setting. The writer explains the steps to solve the problem but does not break it down into smaller, intermediate goals in a structured manner. The explanation is more of a continuous flow of steps rather than a series of subgoals.
## Does s... | assistant
## Thoughts
The provided text does not exhibit backward-chaining behavior. The explanation given for solving the gas pressure problem starts with the given conditions and applies the direct proportionality relationship between pressure and temperature to find the constant of proportionality (k). It then uses ... | 0 | 0 | 0 | 0 |
https://www.futurelearn.com/courses/through-engineers-eyes/0/steps/13718?main-nav-submenu=main-nav-categories | 1,601,159,715,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600400245109.69/warc/CC-MAIN-20200926200523-20200926230523-00523.warc.gz | 829,163,659 | 27,102 | ## Want to keep learning?
This content is taken from the UNSW Sydney's online course, Through Engineers' Eyes: Engineering Mechanics by Experiment, Analysis and Design. Join the course to learn more.
4.7
## UNSW Sydney
Skip to 0 minutes and 9 seconds We learned earlier that a plane might crash if its centre of gravi... | 1,176 | 5,386 | {"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-2020-40 | latest | en | 0.955855 | user
## Thoughts
The text provided does not contain any explicit instances of backtracking. The content is a structured explanation of how to calculate the center of gravity of composite bodies, particularly in the context of aircraft. There are no indications of the writer realizing a mistake, needing to try a differe... | assistant ## Thoughts
The text provided is an educational content from UNSW Sydney's online course about engineering mechanics. It explains the method of finding the center of gravity (CG) of composite bodies, particularly in the context of aircraft. The text describes the process of calculating the CG for different sc... | assistant ## Thoughts
The text describes a method for calculating the center of gravity (CG) of composite bodies, particularly in the context of aircraft. It breaks down the process into several steps, including the use of free-body diagrams, mathematical equations, and the application of the method to simpler examples... | user
## Thoughts
The text provided does not contain any explicit backward-chaining behavior. The content is instructional and focuses on explaining how to calculate the center of gravity of composite bodies, using spheres as a simple example. It does not start from a goal and work backward to achieve it. Instead, it pr... | 0 | 0 | 0 | null |
https://www.slideshare.net/chingchi/ching-chi-tu-journal-5 | 1,503,539,702,000,000,000 | text/html | crawl-data/CC-MAIN-2017-34/segments/1502886126017.3/warc/CC-MAIN-20170824004740-20170824024740-00681.warc.gz | 936,622,232 | 38,155 | Upcoming SlideShare
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# Ching chi tu journal 5
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No not... | 2,613 | 9,164 | {"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... | 3.890625 | 4 | CC-MAIN-2017-34 | latest | en | 0.809972 | assistant
## Thoughts
The text provided is a journal entry on geometry concepts, specifically focusing on perpendicular bisectors, angle bisectors, concurrency, medians, altitudes, midsegments, triangle inequalities, indirect proofs, and special triangle relationships. The text does not contain any instances where the ... | user | user | assistant ## Thoughts
The text provided is a journal entry on geometry concepts, including definitions and examples of various theorems and properties related to triangles, such as perpendicular bisectors, angle bisectors, concurrency, medians, altitudes, midsegments, and inequalities. The text also includes indirect p... | 0 | 0 | null | null |
http://www.thirteen.org/edonline/adulted/lessons/lesson17_activities.html | 1,516,411,433,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084888341.28/warc/CC-MAIN-20180120004001-20180120024001-00184.warc.gz | 580,212,115 | 5,894 | search
Activity One: Setting the Stage
Activity Two: Interest Groups
Activity Three: Writing Word Problems
Activity Four: Making a Math Test
Activity One: Setting the Stage
Ask students to give examples of how they used math recently. If students need help getting started, give them a few clues. Ask them how they us... | 1,249 | 5,849 | {"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... | 3.65625 | 4 | CC-MAIN-2018-05 | latest | en | 0.975299 | assistant
## Thoughts
The text provided is a structured lesson plan for teaching students about the practical applications of math in everyday life. It does not contain any instances where the writer realizes a mistake or a failed approach and explicitly goes back to try a different method. The text is a series of inst... | 55 | 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 | 提供的文本中没有展示出任何反向链接的行为。文本主要是关于数学教学活动的描述，包括如何引导学生发现日常生活中的数学应用，以及如何通过小组活动、编写应用题和制作数学测试来加深学生对数学的理解。这些活动并没有展示出从目标结果反向推导的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | 0 | 0 | null | null |
https://fdocument.org/document/introduction-to-biostatistics-harvard-extension-school-scott-evans-phd1.html | 1,686,302,795,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224655446.86/warc/CC-MAIN-20230609064417-20230609094417-00071.warc.gz | 292,746,543 | 23,137 | of 22 /22
© Scott Evans, Ph.D. 1 Introduction to Biostatistics, Harvard Extension School Confidence Intervals
• date post
18-Dec-2015
• Category
## Documents
• view
225
• download
0
Embed Size (px)
### Transcript of Introduction to Biostatistics, Harvard Extension School © Scott Evans, Ph.D.1 Confidence Interval... | 1,783 | 7,383 | {"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... | 3.546875 | 4 | CC-MAIN-2023-23 | latest | en | 0.766616 | assistant
## Thoughts
The provided text is a series of slides from a lecture on confidence intervals in biostatistics. The content is structured as a presentation and does not contain any narrative that would suggest the writer is backtracking or correcting a previous statement. There are no phrases like "Let me try ag... | assistant
## Thoughts
The provided text is a series of slides from a lecture on confidence intervals in biostatistics. It explains the concept of confidence intervals, their interpretation, and their relationship to hypothesis testing. However, the text does not contain any explicit steps where the writer checks their ... | assistant ## Thoughts
The provided text is a series of slides from a lecture on confidence intervals in biostatistics. It explains the concept of confidence intervals, their relationship to hypothesis testing, and how to interpret them. However, the text does not break down any problem into smaller, intermediate goals ... | assistant ## Thoughts
The provided text is a series of slides or notes from a lecture on confidence intervals in biostatistics. It does not contain any backward-chaining behavior as described in the task description. The text is informative and explanatory, detailing the concept of confidence intervals, their interpret... | 0 | null | 0 | null |
http://server.drhuang.com/input/?i=fourier(x) | 1,721,748,571,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763518058.23/warc/CC-MAIN-20240723133408-20240723163408-00572.warc.gz | 23,140,206 | 4,947 | # AI Math Handbook Calculator
Input:
fourier(x)
Write:
fourier(x)
Compute:
$$fourier(x)$$
Output:
$$fourier(x)== 2\ sin(x)+\frac {((\frac{-1}{2})\ \pi -\frac{1}{2}\ cos((-2)\ \pi )\ \pi )}{\pi }\ sin(2\ x)+\frac {((\frac{-1}{3})\ cos((-3)\ \pi )\ \pi -\frac{1}{3}\ cos(3\ \pi )\ \pi )}{\pi }\ sin(3\ x)$$ Result: $$2... | 246 | 537 | {"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... | 3.5 | 4 | CC-MAIN-2024-30 | latest | en | 0.36959 | user222 | user2 | assistant```markdown
## Thoughts
The provided text is a straightforward input and output of a Fourier transform computation. There is no indication of the process being broken down into smaller, intermediate goals or steps. The text simply states the input, the computation, and the output without any explanation or bre... | assistant ## Thoughts
The provided text is a straightforward computation of the Fourier series for the function \(x\). It does not exhibit any backward-chaining behavior. The text does not start from a goal and work backward to achieve it. Instead, it presents the input, the computation, and the output directly.
## Do... | null | 0 | null | 0 |
https://mathoverflow.net/questions/221337/example-for-reciprocal-principal-minors/221422#221422 | 1,669,500,247,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446709929.63/warc/CC-MAIN-20221126212945-20221127002945-00700.warc.gz | 435,914,389 | 25,573 | # Example for Reciprocal Principal Minors
I'm searching for rather specific counter-example.
Some notation: $A(\alpha|\beta)$ is the sub matrix of $A$ with with rows $\alpha$ and columns $\beta$. $\textrm{det } A(\alpha|\alpha) =: \textrm{det } A(\alpha)$ are the principal minors of $A$. We define $\textrm{det } A(\e... | 477 | 1,220 | {"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... | 3.765625 | 4 | CC-MAIN-2022-49 | latest | en | 0.602021 | 5555555555555555 | user
## Thoughts
The text provided is a discussion about finding a specific counter-example for a matrix with certain properties. It does not exhibit any backward-chaining behavior as described in the task description. The text is more about defining the problem and providing a potential example rather than starting fr... | null | 0 | null | null | ||
http://mathhelpforum.com/discrete-math/187513-permutations-circle.html | 1,480,777,570,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698540932.10/warc/CC-MAIN-20161202170900-00455-ip-10-31-129-80.ec2.internal.warc.gz | 180,302,115 | 12,353 | # Thread: Permutations in a circle
1. ## Permutations in a circle
Q:Three engineers and nine coucillors have a meeting around a circular table. If three coucillors are between each engineer, find the number of possible seating arrangments.
the circle permutations formula is $(n-1)!$
the answer is Arrangements: $2! ... | 976 | 3,747 | {"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": 0, "img_math": 0, "codecogs_latex": 15, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.921875 | 4 | CC-MAIN-2016-50 | longest | en | 0.939877 | user
## Thoughts
The text does not contain any explicit backtracking behavior. The discussion revolves around the correct approach to solving a permutation problem, but there is no instance where the writer realizes a mistake and explicitly goes back to try a different approach. The confusion and questions raised by th... | user
## Thoughts
The text provided does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The discussion revolves around the explanation of the seating arrangement problem and the reasoning behind the s... | user
## Thoughts
The text does not contain any explicit subgoal setting. The discussion revolves around the solution to a specific problem regarding permutations in a circle, but it does not break down the problem into smaller, intermediate goals. Instead, it provides an explanation for the solution and addresses some ... | 0 | null | 0 | 0 | |
https://socratic.org/questions/56cbc5e07c01497f2f1a0292 | 1,579,277,870,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579250589861.0/warc/CC-MAIN-20200117152059-20200117180059-00544.warc.gz | 668,519,435 | 7,044 | # One mole of sugar has a greater mass than one mole of water, how come?
Feb 24, 2016
Here's why that is the case.
#### Explanation:
First of all, it's always a good idea to start with what a mole actually means, that way you can be sure that you know what you're looking at here.
Atoms and molecules are very, very... | 502 | 1,994 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 14, "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, "ma... | 3.90625 | 4 | CC-MAIN-2020-05 | longest | en | 0.952275 | assistant
## Thoughts
The text provided is an explanation of why one mole of sugar has a greater mass than one mole of water. The writer does not exhibit any backtracking behavior; the explanation is straightforward and does not involve any corrections or changes in approach.
## Does backtrack?
no
## Number of backtr... | user
## Thoughts
The text provided is an explanation of why one mole of sugar has a greater mass than one mole of water. It does not contain any explicit steps where the writer checks their own work or verifies the result through comparison or testing.
## Does verification?
no
## Number of answer verification steps
<... | assistant
## Thoughts
The text does not break down the problem into smaller, intermediate goals. Instead, it provides an explanation for why one mole of sugar has a greater mass than one mole of water, starting with the definition of a mole and then comparing the molecular compositions of sugar and water.
## Does subg... | user | 0 | null | 0 | 0 |
https://www.experts-exchange.com/questions/28977758/Statistics.html | 1,524,675,766,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125947931.59/warc/CC-MAIN-20180425154752-20180425174752-00350.warc.gz | 786,263,324 | 17,919 | # Statistics
A clinic offers you a free test for a very rare, but hideous disease. The test they offer is very reliable. If you have the disease it has a 98% chance of giving a positive result, and if you don’t have the disease, it has only a 1% chance of giving a positive result. You decide to take the test, and find... | 579 | 2,566 | {"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... | 3.703125 | 4 | CC-MAIN-2018-17 | latest | en | 0.963875 | assistant
## Thoughts
The text provided does not contain any explicit instances of backtracking behavior. The participants in the discussion are discussing the problem and providing insights or asking for more information, but they do not mention realizing a mistake or needing to go back to a previous step in their rea... | assistant ## Thoughts
The text provided is a discussion about a statistics problem related to the reliability of a medical test for a rare disease. The participants in the discussion are pointing out the lack of necessary information to solve the problem, specifically the prevalence of the disease. There are no explici... | assistant ## Thoughts
The text provided is a discussion about a probability problem related to a medical test for a rare disease. The participants in the discussion are analyzing the problem and pointing out the need for additional information, specifically the prevalence of the disease, to solve the problem accurately... | assistant ## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The discussion revolves around the interpretation of a probability problem related to a medical test's reliability and the prevalence of a disease. The participants are discussing the necessity of knowing the disease's... | 0 | 0 | 0 | 0 |
https://networklessons.com/cisco/ccie-routing-switching-written/bgp-4-byte-number | 1,726,599,228,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651829.57/warc/CC-MAIN-20240917172631-20240917202631-00293.warc.gz | 389,925,065 | 33,336 | # BGP 4-Byte AS Number
Lesson Contents
Before January 2009, we only had 2 byte AS numbers in the range of 1-65535. 1024 of those (64512-65534) are reserved for private AS numbers.
Similar to IPv4, we started running out of AS numbers so IANA increased the AS numbers by introducing 4-byte AS numbers in the range of 6... | 2,024 | 7,013 | {"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... | 3.609375 | 4 | CC-MAIN-2024-38 | latest | en | 0.835501 | user
## 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. 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 text is a straightforw... | user
## Thoughts
The provided text is about BGP 4-byte AS numbers and their configuration. It explains the different ways to represent AS numbers and how to configure them on Cisco routers. There are no explicit steps taken to verify the correctness of the configurations or calculations provided.
## Does verification?... | assistant
## Thoughts
The text provided does not contain any explicit subgoal setting. It is a detailed explanation of BGP 4-byte AS numbers, their representations, and configurations. The text does not break down the problem into smaller, intermediate goals but rather provides a continuous explanation and examples.
#... | user
## Thoughts
The provided text is about BGP 4-byte AS numbers and does not contain any backward-chaining behavior. It explains the history, the different ways to represent AS numbers, and provides configuration examples. There is no instance where the writer starts from a goal and works backward to achieve it.
## ... | 0 | 0 | 0 | 0 |
https://www.brighthubeducation.com/lesson-plans-grades-1-2/75553-worksheet-to-use-teaching-math-to-first-grade-students/ | 1,558,842,286,000,000,000 | text/html | crawl-data/CC-MAIN-2019-22/segments/1558232258621.77/warc/CC-MAIN-20190526025014-20190526051014-00030.warc.gz | 726,438,128 | 29,304 | # Build a Better Student With First-Grade Math Activities
## Taking Advantage of Teachable Moments
You may not have realized it but just about any activity that a child performs on a daily basis is usable for meaningful teaching. First-grade math activities get kids into the habit of solving everyday problems, which ... | 615 | 2,550 | {"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... | 3.734375 | 4 | CC-MAIN-2019-22 | latest | en | 0.945369 | user
## Thoughts
The provided text is a list of first-grade math activities 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 different sequen... | user | user | userSupportedContent | 0 | null | null | null |
http://oeis.org/A223078 | 1,576,392,459,000,000,000 | text/html | crawl-data/CC-MAIN-2019-51/segments/1575541301598.62/warc/CC-MAIN-20191215042926-20191215070926-00247.warc.gz | 104,022,697 | 4,581 | This site is supported by donations to The OEIS Foundation.
Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submiss... | 781 | 2,291 | {"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-2019-51 | latest | en | 0.656975 | assistant
## Thoughts
The provided text is a sequence entry from the On-Line Encyclopedia of Integer Sequences (OEIS). It does not contain any explicit statements indicating that the writer has realized a mistake or needs to backtrack to a previous computation. The text is a straightforward presentation of a sequence, ... | assistant ## Thoughts
The provided text is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It includes comments, a Maple code snippet for generating the sequence, and a Mathematica code snippet for selecting elements of the sequence. However, there are no explicit verification ste... | assistant ## Thoughts
The text provided is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It includes a definition of the sequence, comments about its properties, and code for generating the sequence. However, the text does not contain any explicit subgoal setting where the write... | assistant ## Thoughts
The text provided is a description of a sequence from the On-Line Encyclopedia of Integer Sequences (OEIS). It includes comments, a Maple code snippet, and a Mathematica code snippet. The text does not contain any reasoning or problem-solving process that starts from a goal and works backward. The... | 0 | 0 | 0 | 0 |
http://www.physicsforums.com/showthread.php?t=431901 | 1,410,968,548,000,000,000 | text/html | crawl-data/CC-MAIN-2014-41/segments/1410657123996.28/warc/CC-MAIN-20140914011203-00164-ip-10-196-40-205.us-west-1.compute.internal.warc.gz | 744,213,909 | 8,354 | # Help understanding current through series circuit
by Kaldanis
Tags: circuit, current, series
P: 106 This isn't a specific homework question, it's just something I'm having trouble understanding or visualising. Take this L.E.D. circuit for example, which works according to our textbook: The current flows from the - ... | 845 | 3,902 | {"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... | 3.90625 | 4 | CC-MAIN-2014-41 | latest | en | 0.950909 | user
## Thoughts
The text provided is a discussion about the flow of current in a series circuit, specifically involving an LED and a resistor. The original poster (Kaldanis) is confused about how the resistor affects the current before it reaches the LED, given the order of components in the circuit. The response from... | assistant
## Thoughts
The text provided is a discussion about the flow of current in a series circuit, specifically involving an LED and a resistor. The participants are explaining the concept of current flow and the behavior of the circuit components. There are no explicit steps taken to verify any calculations or res... | assistant ## Thoughts
The response provided by ehild does not break down the explanation into smaller, intermediate goals. Instead, it directly addresses the confusion about the direction of current flow and the mechanism of how current moves through a circuit. It explains the concept of current flow and the behavior o... | assistant ## Thoughts
The text provided is a discussion about the flow of current in a series circuit, specifically involving an LED and a resistor. The explanation given by the user and the response from the helper do not involve working backward from a goal to understand the circuit. Instead, they are trying to under... | 0 | 0 | 0 | 0 |
https://studywell.com/maths/pure-maths/algebra-functions/simultaneous-equations/ | 1,619,023,336,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039546945.85/warc/CC-MAIN-20210421161025-20210421191025-00545.warc.gz | 639,851,267 | 18,208 | Simultaneous equations can be thought of as being two equations in two unknowns, say x and y. Note that the word simultaneous means ‘at the same time’. It follows that for the values of x and y found both equations must be true at the same time. Sometimes it is easy to inspect the equations and guess the answers. Howev... | 865 | 3,290 | {"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": 0, "img_math": 27, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.6875 | 5 | CC-MAIN-2021-17 | latest | en | 0.943614 | assistant
## Thoughts
The provided text is an explanation of simultaneous equations and methods to solve them. 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 a straightforward explanation and worked example without any back... | taxpaid1234567890 | SupportedContent | 提供的文本中没有展示出反向链接的行为。文本主要描述了解决同时方程的方法，包括消除法、替换法和图形法，并通过一个具体的工作示例和两个例子来说明这些方法的应用。尽管文本中提到了从一个方程中解出一个变量并将其代入另一个方程中，这是替换法的一部分，但这并不等同于从目标结果开始反向推理的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</ | 0 | null | null | null |
https://www.valleyforward.org/essay/microneconomics | 1,566,135,648,000,000,000 | text/html | crawl-data/CC-MAIN-2019-35/segments/1566027313889.29/warc/CC-MAIN-20190818124516-20190818150516-00024.warc.gz | 1,030,743,064 | 15,087 | This website uses cookies to ensure you have the best experience.
# Microneconomics Essay
1707 words - 7 pages
1) a. If we do not have scarce resources, will we have a law of demand? Will we observe price rationing for goods?
The law of demand states the relationship between quantity demanded and price, showing tha... | 2,338 | 11,023 | {"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... | 3.609375 | 4 | CC-MAIN-2019-35 | latest | en | 0.943577 | useruser
## Thoughts
The provided text does not contain any instances of backtracking behavior. The text is a structured essay on microeconomics and does not include any phrases or sentences that indicate the writer has realized a mistake or needs to try a different approach. The content is presented in a straightforwa... | userHeaderCodeViolation | userHeaderCodeViolation | useruserassistant
## Thoughts
The provided text does not contain any instances of backward-chaining behavior. The text is a mix of a disclaimer about cookies and an excerpt from a microeconomics essay. The essay discusses various economic concepts and does not demonstrate the process of starting from a goal and working... | 0 | 0 | null | null |
https://www.shahmoradi.org/ICP2017F/homework/2-solutions-variables-values-types | 1,553,265,034,000,000,000 | text/html | crawl-data/CC-MAIN-2019-13/segments/1552912202671.79/warc/CC-MAIN-20190322135230-20190322161230-00206.warc.gz | 896,459,696 | 7,890 | This is the solution to Homework 2: Problems - Variables, Values, and Types.
The following figure illustrates the grade distribution for this homework.
Due Date: Monday Oct 2, 2017 9:00 AM. This homework aims at giving you some experience with MATLAB variables.
1. Type the following in the command window and submit... | 2,026 | 6,088 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.71875 | 4 | CC-MAIN-2019-13 | latest | en | 0.874903 | null | null | null | null | ||||
http://schoolbag.info/mathematics/barrons_ap_calculus/50.html | 1,493,333,131,000,000,000 | text/html | crawl-data/CC-MAIN-2017-17/segments/1492917122629.72/warc/CC-MAIN-20170423031202-00098-ip-10-145-167-34.ec2.internal.warc.gz | 341,502,799 | 4,582 | APPLICATIONS OF ANTIDERIVATIVES; DIFFERENTIAL EQUATIONS - Antidifferentiation - Calculus AB and Calculus BC
CHAPTER 5 Antidifferentiation
E. APPLICATIONS OF ANTIDERIVATIVES; DIFFERENTIAL EQUATIONS
The following examples show how we use given conditions to determine constants of integration.
EXAMPLE 48
Find f (... | 835 | 2,910 | {"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... | 4.6875 | 5 | CC-MAIN-2017-17 | longest | en | 0.905741 | assistant ## Thoughts
The provided text is a series of examples and explanations related to antidifferentiation and differential equations. It does not contain any explicit statements indicating that the writer has realized a mistake or that a different approach is needed. The text proceeds in a straightforward manner ... | assistant
## Thoughts
The text provided is a chapter summary and examples from a Calculus textbook focusing on antidifferentiation and differential equations. The examples show the process of solving for constants of integration using given conditions. However, the text does not explicitly mention checking the solution... | assistant
## Thoughts
The text provided is a summary of applications of antiderivatives and differential equations, with a few examples. However, the examples provided do not break down the problem into smaller, intermediate goals. Instead, they directly solve the problems without explicitly stating subgoals.
## Does ... | user | 0 | null | 0 | 0 |
http://www.sharecare.com/health/evaluating-measuring-fitness-levels/what-healthy-weight-my-height | 1,386,547,111,000,000,000 | text/html | crawl-data/CC-MAIN-2013-48/segments/1386163835370/warc/CC-MAIN-20131204133035-00059-ip-10-33-133-15.ec2.internal.warc.gz | 575,272,614 | 13,031 | Question
Evaluating & Measuring Fitness
# What is a healthy weight for my height?
• BMI is a great tool for measuring healthy weight to height in most people but I wanted to add another thing.
The better in shape you get and the closer you get to your weight goal I would advice finding a reputable fitness professio... | 534 | 2,157 | {"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... | 3.796875 | 4 | CC-MAIN-2013-48 | latest | en | 0.945206 | user | userHeaderCode
FilterWhereHeaderCode
реги | userHeaderCode
SupportedContent | user
## Thoughts
The text does not contain any backward-chaining behavior in the context of working towards a goal by starting from the goal and working backward. The text provides information about BMI and body fat percentage and how to calculate a healthy weight range, but it does not start from a desired outcome and... | null | 0 | null | null |
https://www.jiskha.com/display.cgi?id=1335043352 | 1,516,355,809,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084887849.3/warc/CC-MAIN-20180119085553-20180119105553-00636.warc.gz | 941,161,370 | 4,458 | # trigonometry
posted by .
express 3 cos x -2 sin x in th eform R cos (x + a) and hence write down the maximum and minimum values of 3 cos x - 2 sin x.
• trigonometry -
let 3cosx - 2sinx = Rcos(x+a)
Rcos(x+a) = R(cosxcosa - sinxsina)
= Rcosxcosa - Rsinxsina
so we have the identity
Rcosxcosa - Rsinxsina = 3cosx-2s... | 1,277 | 3,078 | {"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... | 4.28125 | 4 | CC-MAIN-2018-05 | latest | en | 0.618966 | 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 a straightforward explanation of how to express a trigonometric expression in a different form without any indication of backtracking or co... | assistant
## Thoughts
The text provided contains a verification step. Specifically, the writer checks the derived formula by substituting a value for x (x = 26°) and comparing the left side (LS) and right side (RS) of the equation to ensure they are equal.
## Does verification?
yes
## Number of answer verification st... | assistant
## Thoughts
The text provided is a detailed solution to a trigonometry problem. The writer breaks down the problem into smaller steps to express \(3 \cos x - 2 \sin x\) in the form \(R \cos(x + a)\). The steps include setting up an identity, choosing specific values for \(x\) to simplify the equation, and sol... | assistant
## Thoughts
The provided text does not contain any backward-chaining behavior. The text is a solution to a trigonometry problem where the writer is expressing a trigonometric expression in a different form and then finding the maximum and minimum values. The approach taken is direct and does not involve start... | 0 | 0 | 1 | null |
https://dearteassociazione.org/how-do-you-write-0-6-as-a-fraction/ | 1,653,022,356,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662531352.50/warc/CC-MAIN-20220520030533-20220520060533-00511.warc.gz | 248,370,751 | 8,257 | Three common formats for numbers room fractions, decimals, and percents.
You are watching: How do you write 0.6 as a fraction
Percents are regularly used to connect a family member amount. You have probably seen them supplied for discounts, where the percent the discount can apply to different prices. Percents are li... | 3,382 | 12,982 | {"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... | 4.59375 | 5 | CC-MAIN-2022-21 | latest | en | 0.924698 | userHeaderCodegentplease output the task completion result according to the task description and input data in the task format. | assistant
## Thoughts
The text provided does not contain any explicit verification steps. The text is mostly instructional, explaining the concepts of fractions, decimals, and percents, and also providing examples of how to convert among them. There are no instances where the writer checks their work by substituting va... | assistant
## Thoughts
The text does not contain any explicit subgoal setting. The text is an explanation and examples of converting between percents, decimals, and fractions, but it does not break down the process into smaller, intermediate goals in the way described in the task description.
## Does subgoal setting?
n... | HeaderCode
HeaderCode
user
## Thoughts
The text provided does not contain any backward-chaining behavior. The text is an explanation of how to convert between percents, decimals, and fractions, and it does not start from a goal and work backward to achieve it. Instead, it provides straightforward examples and explanati... | null | null | null | null |
https://www.reddit.com/r/math/comments/82yzln/if_i_had_a_sequence_of_16_actors_some_recurring/dve2bb8/?context=10000 | 1,556,154,146,000,000,000 | text/html | crawl-data/CC-MAIN-2019-18/segments/1555578675477.84/warc/CC-MAIN-20190424234327-20190425020327-00534.warc.gz | 788,249,469 | 79,695 | Press J to jump to the feed. Press question mark to learn the rest of the keyboard shortcuts
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level 1
7 points · 1 year ago
1. What part of this is given to you (you have no control over)?
2. What part of this do you have control over?
3. What are you trying to accomplish?
I've determined I'd need 6 actors t... | 2,094 | 6,905 | {"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... | 3.640625 | 4 | CC-MAIN-2019-18 | longest | en | 0.953856 | assistant## Thoughts
The text provided is a conversation about solving a problem related to assigning voice-over actors to English actors in a film, ensuring no two consecutive roles are voiced by the same actor. The discussion revolves around the chromatic number problem and the use of a specific algorithm to solve th... | user
## Thoughts
The text provided is a discussion about a math problem related to the "Chromatic number problem" and its solution. The participants discuss the problem, its solution, and the algorithm used to solve it. However, there are no explicit steps taken to verify the correctness of the solution or the calculat... | assistant ## Thoughts
The text provided is a conversation about solving a problem related to assigning voice-over actors to English actors in a film, ensuring no two consecutive roles are voiced by the same actor. The discussion includes identifying the problem, understanding constraints, and providing a solution using... | user
## Thoughts
The text provided is a discussion about solving a problem related to assigning French voice-over actors to English actors in a film, ensuring no two consecutive roles are voiced by the same actor. The discussion revolves around the chromatic number problem and the use of graph theory to solve the probl... | 0 | 0 | 0 | 0 |
http://www.shmoop.com/algebraic-expressions/temperature-conversion.html | 1,464,359,229,000,000,000 | text/html | crawl-data/CC-MAIN-2016-22/segments/1464049276780.5/warc/CC-MAIN-20160524002116-00048-ip-10-185-217-139.ec2.internal.warc.gz | 770,546,715 | 16,090 | We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
# Temperatures
Let F be degrees Fahrenheit, a unit commonly used in the United States, ... | 217 | 931 | {"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... | 3.703125 | 4 | CC-MAIN-2016-22 | longest | en | 0.905762 | user | user | user522222222222222 | user提供的文本中没有展示任何反向链接的行为。文本主要是关于温度转换的说明和一个具体的例子，没有从目标结果开始反向推理的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | null | 0 | null | null |
http://slidegur.com/doc/238473/chapter-4-notes | 1,521,637,834,000,000,000 | text/html | crawl-data/CC-MAIN-2018-13/segments/1521257647649.70/warc/CC-MAIN-20180321121805-20180321141805-00129.warc.gz | 262,449,004 | 9,966 | ### Chapter 4 Notes
```Chapter 4
Converting
• Fraction to Decimal to Percent
– ½ = .5 = 50% (decimal moves 2 places to right)
• Decimal to Percent to Fraction
– .75 = 75% = ¾ (decimal moves 2 places to right)
• Percent to Fraction to Decimal
– 150% = 1 ½ = 1.5 (decimal moves 2 places to left)
Multiplying & Dividing by... | 2,280 | 6,730 | {"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... | 3.828125 | 4 | CC-MAIN-2018-13 | latest | en | 0.839783 | null | null | null | null | ||||
https://byjusexamprep.com/gate-cse/difference-between-algorithm-and-pseudocode | 1,723,651,532,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641118845.90/warc/CC-MAIN-20240814155004-20240814185004-00535.warc.gz | 117,130,816 | 30,089 | # Difference Between Algorithm and Pseudocode
By BYJU'S Exam Prep
Updated on: September 25th, 2023
Difference Between Algorithm and Pseudocode: In a programming language, both algorithm and pseudocode play an important role. Where an algorithm is considered the foundation of the programming language pseudocode is us... | 652 | 3,197 | {"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-2024-33 | latest | en | 0.923814 | assistant```markdown
## Thoughts
The provided text is an explanation of the differences between algorithms and pseudocode. There is no indication of the writer realizing a mistake or needing to go back to a previous step to try a different approach. The text is a straightforward comparison and explanation without any b... | assistant ## Thoughts
The provided text is an explanation of the differences between algorithms and pseudocode. It does not contain any verification steps where the writer checks their work or the results of a calculation. The content is purely descriptive and comparative, without any steps to verify the correctness of... | assistant ## Thoughts
The text provided is an explanation of the differences between algorithms and pseudocode. 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 comparative in nature, rather than instructional or p... | user
## Thoughts
The provided text is an explanation of the differences between algorithms and pseudocode. It does not contain any reasoning that starts from a goal and works backward to achieve it. The text is informative and does not involve solving problems or proving statements through backward-chaining.
## Does t... | 0 | 0 | 0 | 0 |
https://www.tutorialathome.in/java/java-practical-isc-2016-solve-circular-prime | 1,719,075,186,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198862404.32/warc/CC-MAIN-20240622144011-20240622174011-00724.warc.gz | 921,547,059 | 13,001 | FREE ASSISTANCE FOR THE INQUISITIVE PEOPLE
Tutorial Topics
Write a Java program to transpose of a matrix. JAVA Practical ISC 2016 Solve - Start and End Vowel
JAVA Practical Question ISC 2016 Solve - Circular Prime - Java
2780 Arnab De 09/08/2019
This program is selected from ISC 2016 Computer Science or Class 12... | 829 | 2,984 | {"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-2024-26 | longest | en | 0.569297 | assistant
## Thoughts
The provided text is a tutorial on how to write a Java program to check if a number is a circular prime. 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. The explanation and the code are presented in a straigh... | user
## Thoughts
The provided text describes a Java program to check if a number is a circular prime. The text includes several test cases with input and output, but it does not explicitly mention any verification steps where the writer checks their own work or compares results to known values.
## Does verification?
n... | assistant
## Thoughts
The text describes a Java program to check if a number is a circular prime. It provides the code and some test cases but does not explicitly break down the problem into smaller, intermediate goals. The explanation and the code itself do not contain a clear statement of subgoals or steps that need ... | user | 0 | null | 0 | 0 |
http://mathhelpforum.com/pre-calculus/194884-few-complex-number-problems-print.html | 1,527,164,855,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794866276.61/warc/CC-MAIN-20180524112244-20180524132244-00306.warc.gz | 180,620,183 | 2,865 | # A few complex number problems
• Jan 3rd 2012, 08:19 AM
Lemons123
A few complex number problems
I have attempted to solve it but arrive at either no solution or a solution much different from the textbook's.
1. If w = $\displaystyle \frac{z + 1}{z - 1}$ and |z| = 1, find Re(w).
I plugged in a + bi for z and attempt... | 520 | 1,404 | {"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... | 4.46875 | 4 | CC-MAIN-2018-22 | latest | en | 0.768415 | 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. 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 text is a series of resp... | assistant
## Thoughts
The text provided does not contain any explicit breakdown of the problem into smaller, intermediate goals. Instead, it presents a problem and a few different approaches to solving it, but these approaches are not broken down into subgoals. The responses from FernandoRevilla and Opalg provide metho... | assistant ## Thoughts
The text provided contains a discussion on solving a complex number problem. The key instance of backward chaining occurs in Opalg's response, where the goal is to find Re(w) given the conditions. Opalg starts from the goal of finding Re(w) and works backward by manipulating the given equation to ... | 0 | 2 | null | 0 | |
https://ccssmathanswers.com/into-math-grade-2-module-12-lesson-3-answer-key/ | 1,721,130,416,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514745.49/warc/CC-MAIN-20240716111515-20240716141515-00195.warc.gz | 140,000,363 | 57,624 | # Into Math Grade 2 Module 12 Lesson 3 Answer Key Represent and Record Two-Digit Addition
We included HMH Into Math Grade 2 Answer Key PDF Module 12 Lesson 3 Represent and Record Two-Digit Addition to make students experts in learning maths.
## HMH Into Math Grade 2 Module 12 Lesson 3 Answer Key Represent and Record ... | 1,449 | 5,177 | {"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... | 4.9375 | 5 | CC-MAIN-2024-30 | latest | en | 0.931496 | assistant
## Thoughts
The text provided is a structured lesson on two-digit addition, including examples and exercises. The text does not contain any instances where the writer realizes a mistake or needs to backtrack to a previous computation. The text is straightforward and does not include any phrases or sentences i... | assistant
## Thoughts
The text provided is a series of math problems and their solutions, but it does not contain any explicit verification steps where the writer checks their work by substituting values, differentiating, or testing with simple cases. The solutions are presented directly without any additional steps to... | assistant
## Thoughts
The text provided is a series of questions and answers related to adding two-digit numbers, with a focus on regrouping. The text does not explicitly break down the problem into smaller, intermediate goals. Instead, it provides step-by-step instructions for solving each problem, but these steps are... | assistant ## Thoughts
The text provided is a series of math problems and their solutions, focusing on two-digit addition with and without regrouping. The solutions are presented in a straightforward manner, starting with the given numbers and progressing through the steps to find the sum. There is no evidence of backwa... | 0 | 0 | 0 | 0 |
https://www.asknumbers.com/mol-to-mmol.aspx | 1,719,163,439,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198862488.55/warc/CC-MAIN-20240623162925-20240623192925-00764.warc.gz | 578,644,159 | 16,690 | # Moles to Millimoles (mol to mmol) Converter
Mol to millimol converter. 1 Mol is equal to 1000 mmillimoles.
conversion table ←→
mol 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 ... | 1,172 | 3,264 | {"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... | 3.515625 | 4 | CC-MAIN-2024-26 | longest | en | 0.336191 | assistant
## Thoughts
The provided text is a straightforward explanation and conversion guide for moles to millimoles. There are no indications of the writer realizing a path won't work and explicitly going back to try a different approach. The text does not contain any phrases or sentences that suggest backtracking be... | assistant ## Thoughts
The text provides conversion formulas and examples for converting between moles and millimoles. However, it does not include any explicit steps where the writer checks their own work or verifies the results of the calculations.
## Does verification?
no
## Number of answer verification steps
<cou... | assistant ## Thoughts
The text provides conversion formulas and examples for converting between moles and millimoles. However, it does not break down the conversion process into smaller, intermediate goals. The examples given are straightforward applications of the conversion formulas without any subgoal setting.
## D... | 0 | null | 0 | 0 | |
http://www.docstoc.com/docs/127907834/Grade-6-CMP2-Games-Online | 1,430,811,300,000,000,000 | text/html | crawl-data/CC-MAIN-2015-18/segments/1430455241618.47/warc/CC-MAIN-20150501044041-00046-ip-10-235-10-82.ec2.internal.warc.gz | 358,870,766 | 38,714 | # Grade 6 CMP2 Games Online by dZb6J59n
VIEWS: 19 PAGES: 5
• pg 1
``` Problem Solving Tasks for Grades 6-8
Directions:
1. Select tasks that are the appropriate level of challenge for you. Use the Exemplars
rubric as a guide for explaining your solutions to the problems you choose from the
“Palette of Problems... | 776 | 3,203 | {"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... | 3.75 | 4 | CC-MAIN-2015-18 | longest | en | 0.832433 | assistant
## Thoughts
The provided text is a set of instructions and a list of resources for mathematics games and activities. It does not contain any narrative or problem-solving process that would involve backtracking. The text is purely instructional and does not show any instances where the writer realizes a mistak... | assistant
## Thoughts
The provided text is a set of instructions and a list of resources for mathematics games and activities for students in grades 6-8. It does not contain any explicit steps for verifying answers or solutions to problems. The text focuses on directing students to various games and activities and prov... | assistant
## Thoughts
The text provided is a set of instructions and a list of resources for mathematics games and activities for students in grades 6-8. It does not contain any explicit breakdown of problems into smaller, intermediate goals. The text is more about directing students to resources and games rather than ... | assistant ## Thoughts
The provided text is a set of instructions and a list of resources for mathematics games and activities for students in grades 6-8. It does not contain any explicit problem-solving process or reasoning that starts from a goal and works backward. The text is more about directing students to various... | 0 | 0 | 0 | 0 |
http://alternatewars.com/BBOW/Space/Space_Telescopes.htm | 1,516,652,959,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084891539.71/warc/CC-MAIN-20180122193259-20180122213259-00061.warc.gz | 16,133,803 | 2,637 | ### Astronomy Angle Notes:
1 degree = 60 arc-minutes or 3,600 arc-seconds (written as 3600”)
1 arc-minute = 60 arc-seconds
### Astronomy Wavelength Notes:
Visible Light: 0.39 to 0.75 micrometres
Near Infrared IR: 0.78 to 3 micrometres
Medium Wavelength IR: 3 to 50 micrometres
Long Wavelength IR: 50 to 1000 micrometr... | 734 | 2,609 | {"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... | 3.96875 | 4 | CC-MAIN-2018-05 | latest | en | 0.772194 | user
## Thoughts
The provided text is a collection of notes and examples related to astronomy and does not contain any instances where the writer realizes a mistake or needs to go back to try a different approach. The text is a straightforward presentation of information and examples without any backtracking behavior.
... | user
## Thoughts
The text provided is a collection of notes and examples related to astronomy calculations. It includes several examples where calculations are performed, but there is no explicit step where the results are checked or verified against known values or constraints.
## Does verification?
no
## Number of ... | assistant
## Thoughts
The text contains several examples where subgoal setting is evident, particularly in the examples provided for converting from arc-seconds to radians and calculating angular diameter. These examples break down the problem into smaller, intermediate steps that need to be completed sequentially.
##... | 5555555 | 0 | null | 0 | null |
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