🕷️ Crawler Inspector

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Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 166 (from laksa031)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa166.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.wolframalpha.com/examples/mathematics/algebra\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.wolframalpha.com/examples/mathematics/algebra\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra","crawl_time":1775728725,"first_indexed_time":1551225439,"http_code":200,"src_unparsed":"com,wolframalpha!www,\/examples\/mathematics\/algebra s443","src_root_hash":"10472823281220336366","history_drop_reason":null,"meta_title":"Wolfram|Alpha Examples: Algebra","meta_descriptions":["Interactive algebra calculators for solving equations, polynomials, rational functions, simplification, vectors, matrices, linear algebra, quaternions, finite groups, finite fields, domain & range."],"attrs_boilerpipe_text":"Examples for\nAlgebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices.\nGO FURTHER\nStep-by-Step Solutions for\nAlgebra\nAlgebra\nWeb App\nRELATED EXAMPLES\nArithmetic\nCalculus & Analysis\nGeometry\nLinear Algebra\nRELATED WOLFRAM RESOURCES\nWolfram Calculus & Algebra\nMatrices\n›\nFind properties and perform computations on matrices.\nDo basic arithmetic on matrices:\n{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}\nCompute eigenvalues and eigenvectors of a matrix:\neigenvalues {{4,1},{2,-1}}\nMore examples\nFinite Fields\n›\nDiscover properties of fields containing a finite number of elements.\nCompute properties of a finite field:\nZ\/7Z\nCompute a specific property:\nnumber of primitive polynomials of GF(3125)\nMore examples","attrs_markdown":"![no-js-running-man-logo](https:\/\/www.wolframalpha.com\/_next\/static\/images\/running-man_d23cee5b24bc562c49a0355e9408ad8c.png)Uh oh! Wolfram\\|Alpha doesn't run without JavaScript.\n\nPlease enable JavaScript. If you don't know how, you can find instructions[here](https:\/\/enable-javascript.com\/).Once you've done that, refresh this page to start using Wolfram\\|Alpha.\n#\n[All Examples›](https:\/\/www.wolframalpha.com\/examples)[Mathematics›](https:\/\/www.wolframalpha.com\/examples\/mathematics)\n\nBrowse Examples\n\nExamples for\n\n# Algebra\nAlgebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram\\|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices.\n\n[Equation Solving ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/equation-solving)\n\nSolve equations in one or more variables both symbolically and numerically.\n\n#### Solve a polynomial equation:\n[solve x^2 + 4x + 6 = 0](https:\/\/www.wolframalpha.com\/input?i=solve+x%5E2+%2B+4x+%2B+6+%3D+0)\n\n#### Solve a system of linear equations:\n[x+y=10, x-y=4](https:\/\/www.wolframalpha.com\/input?i=x%2By%3D10%2C+x-y%3D4)\n\n#### Solve an equation with parameters:\n[solve a x^2 + b x + c = 0 for x](https:\/\/www.wolframalpha.com\/input?i=solve+a+x%5E2+%2B+b+x+%2B+c+%3D+0+for+x)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/equation-solving)\n\n[Rational Functions ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/rational-functions)\n\nCompute discontinuities and other properties of rational functions.\n\n#### Compute properties of a rational function:\n[(x^2-1)\/(x^2+1)](https:\/\/www.wolframalpha.com\/input?i=%28x%5E2-1%29%2F%28x%5E2%2B1%29)\n\n#### Compute a partial fraction decomposition:\n[partial fractions (x^2-4)\/(x^4-x)](https:\/\/www.wolframalpha.com\/input?i=partial+fractions+%28x%5E2-4%29%2F%28x%5E4-x%29)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/rational-functions)\n\n[Quaternions ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/quaternions)\n\nPerform computations with the quaternion number system.\n\n#### Get information about a quaternion:\n[quaternion: 0+2i-j-3k](https:\/\/www.wolframalpha.com\/input?i=quaternion%3A+0%2B2i-j-3k)\n\n#### Do calculations with quaternions:\n[quaternion -Sin\\[Pi\\]+3i+4j+3k multiplied by -1j+3.9i+4-3k](https:\/\/www.wolframalpha.com\/input?i=quaternion+-Sin%5BPi%5D%2B3i%2B4j%2B3k+multiplied+by+-1j%2B3.9i%2B4-3k)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/quaternions)\n\n[Domain & Range ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/domain-and-range)\n\nFind the domain and range of mathematical functions.\n\n#### Compute the domain of a function:\n[domain of f(x) = x\/(x^2-1)](https:\/\/www.wolframalpha.com\/input?i=domain+of+f%28x%29+%3D+x%2F%28x%5E2-1%29)\n\n#### Compute the range of a function:\n[range of e^(-x^2)](https:\/\/www.wolframalpha.com\/input?i=range+of+e%5E%28-x%5E2%29)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/domain-and-range)\n\n[Polynomials ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/polynomials)\n\nSolve, plot and find alternate forms of polynomial expressions in one or more variables.\n\n#### Compute properties of a polynomial in several variables:\n[x^3 + x^2 y + x y^2 + y^3](https:\/\/www.wolframalpha.com\/input?i=x%5E3+%2B+x%5E2+y+%2B+x+y%5E2+%2B+y%5E3)\n\n#### Factor a polynomial:\n[factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48](https:\/\/www.wolframalpha.com\/input?i=factor+2x%5E5+-+19x%5E4+%2B+58x%5E3+-+67x%5E2+%2B+56x+-+48)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/polynomials)\n\n[Simplification ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/simplification)\n\nSimplify algebraic functions and expressions.\n\n#### Simplify an expression:\n[1\/(1+sqrt(2))](https:\/\/www.wolframalpha.com\/input?i=1%2F%281%2Bsqrt%282%29%29)\n\n[simplify x^5-20x^4+163x^3-676x^2+1424x-1209](https:\/\/www.wolframalpha.com\/input?i=simplify+x%5E5-20x%5E4%2B163x%5E3-676x%5E2%2B1424x-1209)\n\n[simplify cos(arcsin(x)\/2)](https:\/\/www.wolframalpha.com\/input?i=simplify+cos%28arcsin%28x%29%2F2%29)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/simplification)\n\n[Finite Groups ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/finite-groups)\n\nDiscover properties of groups containing a finite number of elements.\n\n#### Get information about a finite group:\n[alternating group A\\_5](https:\/\/www.wolframalpha.com\/input?i=alternating+group+A_5)\n\n#### Ask about a property of a group:\n[order of the monster group](https:\/\/www.wolframalpha.com\/input?i=order+of+the+monster+group)\n\n#### Do algebra with permutations:\n[perm (1 2 3 4)^3(1 2 3)^-1](https:\/\/www.wolframalpha.com\/input?i=perm+%281+2+3+4%29%5E3%281+2+3%29%5E-1)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/finite-groups)\n\n### GO FURTHER\n[Step-by-Step Solutions for Algebra](https:\/\/www.wolframalpha.com\/examples\/pro-features\/step-by-step-solutions\/step-by-step-algebra)\n\n[Algebra Web App](https:\/\/www.wolframalpha.com\/input\/web-apps\/algebra-course-assistant)\n\n### RELATED EXAMPLES\n[Arithmetic](https:\/\/www.wolframalpha.com\/examples\/mathematics\/elementary-math\/arithmetic)\n\n[Calculus & Analysis](https:\/\/www.wolframalpha.com\/examples\/mathematics\/calculus-and-analysis)\n\n[Geometry](https:\/\/www.wolframalpha.com\/examples\/mathematics\/geometry)\n\n[Linear Algebra](https:\/\/www.wolframalpha.com\/examples\/mathematics\/linear-algebra)\n\n### RELATED WOLFRAM RESOURCES\n[Wolfram Calculus & Algebra](https:\/\/www.wolfram.com\/language\/core-areas\/calculus-algebra\/)\n\n[Matrices ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/matrices)\n\nFind properties and perform computations on matrices.\n\n#### Do basic arithmetic on matrices:\n[{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}](https:\/\/www.wolframalpha.com\/input?i=%7B%7B0%2C-1%7D%2C%7B1%2C0%7D%7D.%7B%7B1%2C2%7D%2C%7B3%2C4%7D%7D%2B%7B%7B2%2C-1%7D%2C%7B-1%2C2%7D%7D)\n\n#### Compute eigenvalues and eigenvectors of a matrix:\n[eigenvalues {{4,1},{2,-1}}](https:\/\/www.wolframalpha.com\/input?i=eigenvalues+%7B%7B4%2C1%7D%2C%7B2%2C-1%7D%7D)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/matrices)\n\n[Finite Fields ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/finite-fields)\n\nDiscover properties of fields containing a finite number of elements.\n\n#### Compute properties of a finite field:\n[Z\/7Z](https:\/\/www.wolframalpha.com\/input?i=Z%2F7Z)\n\n#### Compute a specific property:\n[number of primitive polynomials of GF(3125)](https:\/\/www.wolframalpha.com\/input?i=number+of+primitive+polynomials+of+GF%283125%29)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/finite-fields)\n\n- [Pro](https:\/\/www.wolframalpha.com\/pro)\n- [Mobile Apps](https:\/\/products.wolframalpha.com\/mobile)\n- [Products](https:\/\/products.wolframalpha.com\/)\n- [Business](https:\/\/products.wolframalpha.com\/enterprise)\n- [API & Developer Solutions](https:\/\/products.wolframalpha.com\/api)\n- [LLM Solutions](https:\/\/www.wolfram.com\/resources\/tools-for-AIs\/)\n\n- [Resources & Tools](https:\/\/www.wolframalpha.com\/resources)\n- [About](https:\/\/www.wolframalpha.com\/about)\n- [Contact](https:\/\/www.wolframalpha.com\/contact-us)\n- [Connect](https:\/\/www.wolframalpha.com\/social)\n\n- ©2026 Wolfram\n- [Terms](https:\/\/www.wolframalpha.com\/termsofuse)\n- [Privacy](https:\/\/www.wolfram.com\/legal\/privacy\/wolfram)\n\n- [wolfram.com](https:\/\/www.wolfram.com\/)\n- [Wolfram Language](https:\/\/www.wolfram.com\/language)\n- [Mathematica](https:\/\/www.wolfram.com\/mathematica)\n- [Wolfram Demonstrations](https:\/\/demonstrations.wolfram.com\/)\n- [Wolfram for Education](https:\/\/www.wolfram.com\/education)\n- [MathWorld](https:\/\/mathworld.wolfram.com\/)","attrs_readable_markdown":"##\nExamples for\n\nAlgebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram\\|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices.\n\n### GO FURTHER\n[Step-by-Step Solutions for Algebra](https:\/\/www.wolframalpha.com\/examples\/pro-features\/step-by-step-solutions\/step-by-step-algebra)\n\n[Algebra Web App](https:\/\/www.wolframalpha.com\/input\/web-apps\/algebra-course-assistant)\n\n### RELATED EXAMPLES\n[Arithmetic](https:\/\/www.wolframalpha.com\/examples\/mathematics\/elementary-math\/arithmetic)\n\n[Calculus & Analysis](https:\/\/www.wolframalpha.com\/examples\/mathematics\/calculus-and-analysis)\n\n[Geometry](https:\/\/www.wolframalpha.com\/examples\/mathematics\/geometry)\n\n[Linear Algebra](https:\/\/www.wolframalpha.com\/examples\/mathematics\/linear-algebra)\n\n### RELATED WOLFRAM RESOURCES\n[Wolfram Calculus & Algebra](https:\/\/www.wolfram.com\/language\/core-areas\/calculus-algebra\/)\n\n[Matrices ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/matrices)\n\nFind properties and perform computations on matrices.\n\n#### Do basic arithmetic on matrices:\n[{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}](https:\/\/www.wolframalpha.com\/input?i=%7B%7B0%2C-1%7D%2C%7B1%2C0%7D%7D.%7B%7B1%2C2%7D%2C%7B3%2C4%7D%7D%2B%7B%7B2%2C-1%7D%2C%7B-1%2C2%7D%7D)\n\n#### Compute eigenvalues and eigenvectors of a matrix:\n[eigenvalues {{4,1},{2,-1}}](https:\/\/www.wolframalpha.com\/input?i=eigenvalues+%7B%7B4%2C1%7D%2C%7B2%2C-1%7D%7D)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/matrices)\n\n[Finite Fields ›](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/finite-fields)\n\nDiscover properties of fields containing a finite number of elements.\n\n#### Compute properties of a finite field:\n[Z\/7Z](https:\/\/www.wolframalpha.com\/input?i=Z%2F7Z)\n\n#### Compute a specific property:\n[number of primitive polynomials of GF(3125)](https:\/\/www.wolframalpha.com\/input?i=number+of+primitive+polynomials+of+GF%283125%29)\n\n[More examples](https:\/\/www.wolframalpha.com\/examples\/mathematics\/algebra\/finite-fields)","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

1 hour ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://www.wolframalpha.com/examples/mathematics/algebra
Last Crawled	2026-04-09 09:58:45 (1 hour ago)
First Indexed	2019-02-26 23:57:19 (7 years ago)
HTTP Status Code	200
Meta Title	Wolfram\|Alpha Examples: Algebra
Meta Description	Interactive algebra calculators for solving equations, polynomials, rational functions, simplification, vectors, matrices, linear algebra, quaternions, finite groups, finite fields, domain & range.
Meta Canonical	null
Boilerpipe Text	Examples for Algebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram\|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices. GO FURTHER Step-by-Step Solutions for Algebra Algebra Web App RELATED EXAMPLES Arithmetic Calculus & Analysis Geometry Linear Algebra RELATED WOLFRAM RESOURCES Wolfram Calculus & Algebra Matrices › Find properties and perform computations on matrices. Do basic arithmetic on matrices: {{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}} Compute eigenvalues and eigenvectors of a matrix: eigenvalues {{4,1},{2,-1}} More examples Finite Fields › Discover properties of fields containing a finite number of elements. Compute properties of a finite field: Z/7Z Compute a specific property: number of primitive polynomials of GF(3125) More examples
Markdown	![no-js-running-man-logo](https://www.wolframalpha.com/_next/static/images/running-man_d23cee5b24bc562c49a0355e9408ad8c.png)Uh oh! Wolfram\\|Alpha doesn't run without JavaScript. Please enable JavaScript. If you don't know how, you can find instructions[here](https://enable-javascript.com/).Once you've done that, refresh this page to start using Wolfram\\|Alpha. # [All Examples›](https://www.wolframalpha.com/examples)[Mathematics›](https://www.wolframalpha.com/examples/mathematics) Browse Examples Examples for # Algebra Algebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram\\|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices. [Equation Solving ›](https://www.wolframalpha.com/examples/mathematics/algebra/equation-solving) Solve equations in one or more variables both symbolically and numerically. #### Solve a polynomial equation: [solve x^2 + 4x + 6 = 0](https://www.wolframalpha.com/input?i=solve+x%5E2+%2B+4x+%2B+6+%3D+0) #### Solve a system of linear equations: [x+y=10, x-y=4](https://www.wolframalpha.com/input?i=x%2By%3D10%2C+x-y%3D4) #### Solve an equation with parameters: [solve a x^2 + b x + c = 0 for x](https://www.wolframalpha.com/input?i=solve+a+x%5E2+%2B+b+x+%2B+c+%3D+0+for+x) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/equation-solving) [Rational Functions ›](https://www.wolframalpha.com/examples/mathematics/algebra/rational-functions) Compute discontinuities and other properties of rational functions. #### Compute properties of a rational function: [(x^2-1)/(x^2+1)](https://www.wolframalpha.com/input?i=%28x%5E2-1%29%2F%28x%5E2%2B1%29) #### Compute a partial fraction decomposition: [partial fractions (x^2-4)/(x^4-x)](https://www.wolframalpha.com/input?i=partial+fractions+%28x%5E2-4%29%2F%28x%5E4-x%29) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/rational-functions) [Quaternions ›](https://www.wolframalpha.com/examples/mathematics/algebra/quaternions) Perform computations with the quaternion number system. #### Get information about a quaternion: [quaternion: 0+2i-j-3k](https://www.wolframalpha.com/input?i=quaternion%3A+0%2B2i-j-3k) #### Do calculations with quaternions: [quaternion -Sin\[Pi\]+3i+4j+3k multiplied by -1j+3.9i+4-3k](https://www.wolframalpha.com/input?i=quaternion+-Sin%5BPi%5D%2B3i%2B4j%2B3k+multiplied+by+-1j%2B3.9i%2B4-3k) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/quaternions) [Domain & Range ›](https://www.wolframalpha.com/examples/mathematics/algebra/domain-and-range) Find the domain and range of mathematical functions. #### Compute the domain of a function: [domain of f(x) = x/(x^2-1)](https://www.wolframalpha.com/input?i=domain+of+f%28x%29+%3D+x%2F%28x%5E2-1%29) #### Compute the range of a function: [range of e^(-x^2)](https://www.wolframalpha.com/input?i=range+of+e%5E%28-x%5E2%29) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/domain-and-range) [Polynomials ›](https://www.wolframalpha.com/examples/mathematics/algebra/polynomials) Solve, plot and find alternate forms of polynomial expressions in one or more variables. #### Compute properties of a polynomial in several variables: [x^3 + x^2 y + x y^2 + y^3](https://www.wolframalpha.com/input?i=x%5E3+%2B+x%5E2+y+%2B+x+y%5E2+%2B+y%5E3) #### Factor a polynomial: [factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48](https://www.wolframalpha.com/input?i=factor+2x%5E5+-+19x%5E4+%2B+58x%5E3+-+67x%5E2+%2B+56x+-+48) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/polynomials) [Simplification ›](https://www.wolframalpha.com/examples/mathematics/algebra/simplification) Simplify algebraic functions and expressions. #### Simplify an expression: [1/(1+sqrt(2))](https://www.wolframalpha.com/input?i=1%2F%281%2Bsqrt%282%29%29) [simplify x^5-20x^4+163x^3-676x^2+1424x-1209](https://www.wolframalpha.com/input?i=simplify+x%5E5-20x%5E4%2B163x%5E3-676x%5E2%2B1424x-1209) [simplify cos(arcsin(x)/2)](https://www.wolframalpha.com/input?i=simplify+cos%28arcsin%28x%29%2F2%29) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/simplification) [Finite Groups ›](https://www.wolframalpha.com/examples/mathematics/algebra/finite-groups) Discover properties of groups containing a finite number of elements. #### Get information about a finite group: [alternating group A\_5](https://www.wolframalpha.com/input?i=alternating+group+A_5) #### Ask about a property of a group: [order of the monster group](https://www.wolframalpha.com/input?i=order+of+the+monster+group) #### Do algebra with permutations: [perm (1 2 3 4)^3(1 2 3)^-1](https://www.wolframalpha.com/input?i=perm+%281+2+3+4%29%5E3%281+2+3%29%5E-1) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/finite-groups) ### GO FURTHER [Step-by-Step Solutions for Algebra](https://www.wolframalpha.com/examples/pro-features/step-by-step-solutions/step-by-step-algebra) [Algebra Web App](https://www.wolframalpha.com/input/web-apps/algebra-course-assistant) ### RELATED EXAMPLES [Arithmetic](https://www.wolframalpha.com/examples/mathematics/elementary-math/arithmetic) [Calculus & Analysis](https://www.wolframalpha.com/examples/mathematics/calculus-and-analysis) [Geometry](https://www.wolframalpha.com/examples/mathematics/geometry) [Linear Algebra](https://www.wolframalpha.com/examples/mathematics/linear-algebra) ### RELATED WOLFRAM RESOURCES [Wolfram Calculus & Algebra](https://www.wolfram.com/language/core-areas/calculus-algebra/) [Matrices ›](https://www.wolframalpha.com/examples/mathematics/algebra/matrices) Find properties and perform computations on matrices. #### Do basic arithmetic on matrices: [{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}](https://www.wolframalpha.com/input?i=%7B%7B0%2C-1%7D%2C%7B1%2C0%7D%7D.%7B%7B1%2C2%7D%2C%7B3%2C4%7D%7D%2B%7B%7B2%2C-1%7D%2C%7B-1%2C2%7D%7D) #### Compute eigenvalues and eigenvectors of a matrix: [eigenvalues {{4,1},{2,-1}}](https://www.wolframalpha.com/input?i=eigenvalues+%7B%7B4%2C1%7D%2C%7B2%2C-1%7D%7D) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/matrices) [Finite Fields ›](https://www.wolframalpha.com/examples/mathematics/algebra/finite-fields) Discover properties of fields containing a finite number of elements. #### Compute properties of a finite field: [Z/7Z](https://www.wolframalpha.com/input?i=Z%2F7Z) #### Compute a specific property: [number of primitive polynomials of GF(3125)](https://www.wolframalpha.com/input?i=number+of+primitive+polynomials+of+GF%283125%29) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/finite-fields) - 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Readable Markdown	## Examples for Algebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram\\|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices. ### GO FURTHER [Step-by-Step Solutions for Algebra](https://www.wolframalpha.com/examples/pro-features/step-by-step-solutions/step-by-step-algebra) [Algebra Web App](https://www.wolframalpha.com/input/web-apps/algebra-course-assistant) ### RELATED EXAMPLES [Arithmetic](https://www.wolframalpha.com/examples/mathematics/elementary-math/arithmetic) [Calculus & Analysis](https://www.wolframalpha.com/examples/mathematics/calculus-and-analysis) [Geometry](https://www.wolframalpha.com/examples/mathematics/geometry) [Linear Algebra](https://www.wolframalpha.com/examples/mathematics/linear-algebra) ### RELATED WOLFRAM RESOURCES [Wolfram Calculus & Algebra](https://www.wolfram.com/language/core-areas/calculus-algebra/) [Matrices ›](https://www.wolframalpha.com/examples/mathematics/algebra/matrices) Find properties and perform computations on matrices. #### Do basic arithmetic on matrices: [{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}](https://www.wolframalpha.com/input?i=%7B%7B0%2C-1%7D%2C%7B1%2C0%7D%7D.%7B%7B1%2C2%7D%2C%7B3%2C4%7D%7D%2B%7B%7B2%2C-1%7D%2C%7B-1%2C2%7D%7D) #### Compute eigenvalues and eigenvectors of a matrix: [eigenvalues {{4,1},{2,-1}}](https://www.wolframalpha.com/input?i=eigenvalues+%7B%7B4%2C1%7D%2C%7B2%2C-1%7D%7D) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/matrices) [Finite Fields ›](https://www.wolframalpha.com/examples/mathematics/algebra/finite-fields) Discover properties of fields containing a finite number of elements. #### Compute properties of a finite field: [Z/7Z](https://www.wolframalpha.com/input?i=Z%2F7Z) #### Compute a specific property: [number of primitive polynomials of GF(3125)](https://www.wolframalpha.com/input?i=number+of+primitive+polynomials+of+GF%283125%29) [More examples](https://www.wolframalpha.com/examples/mathematics/algebra/finite-fields)
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