Mac · Excel · LibreOffice

PAE Bird ™

Create customized algebra worksheets.

A high-speed polynomial algebra engine for macOS. Expand, factor, solve, differentiate, and generate worksheets — instantly, offline, in bulk.

⬇ Download on the Mac App Store

Now available — v1.1.2

What PAE Bird does

📐

Polynomial Expansion

Expand any polynomial expression, including multi-variable and nested parentheses.

🔢

Factoring

Full factoring — difference of squares, trinomials, cubes, grouping, and more.

🔍

Solving

Solve symbolic expressions and equations step by step.

Calculus

Differentiate and integrate polynomial expressions using standard rules.

📋

Batch Processing

Input 100+ expressions at once. Process them all in one click.

📄

Worksheet Generator

Generate numbered student and teacher worksheets ready to print or export.

See it in action

Built for real math workflows

One input box. Every algebraic operation. Batch process an entire problem set in seconds.

Polynomial expansion — batch input and results

Expand Polynomials

Paste any number of expressions and expand them all at once. Results appear instantly in the Solutions pane.

Factoring mode — full factored output

Factor Expressions

Switch to factor mode with a single @:factor directive. Handles difference of squares, trinomials, cubes, and grouping.

Full range — expand, factor, solve, differentiate, integrate in one batch

Every Operation in One Batch

Mix expand, factor, solve, differentiate, and integrate in a single input using @: mode switches. PAE Bird handles each section correctly.

Worksheet output — numbered problems with solutions

Worksheet Output

Generate formatted worksheets with numbered problems and solutions — ready for students or educators to print and use.

Command reference built into the app

Built-in Command Reference

Every supported operation and @: directive documented inside the app. No external docs needed.

Microsoft Excel®

PAE Bird as Excel Functions

Use PAE Bird's math engine directly inside Excel cells — no app switching, no copy-paste. Solve, expand, factor, differentiate, integrate, and work with matrices as native spreadsheet formulas.

⬇ Download manifest.xml ⬇ Download starter workbook
How to sideload (first-time setup)
  1. Download manifest.xml above. (If it opens as text in a new tab instead of downloading, use your browser's Save Page As / Ctrl+S to save it as manifest.xml.)
  2. On Mac: open Finder, press Cmd+Shift+G, and go to:
    ~/Library/Containers/com.microsoft.Excel/Data/Documents/wef
    (create the wef folder if it doesn't already exist), then copy manifest.xml into it.
  3. On Windows, or Excel on the web: in Excel, go to Home → Add-ins → More Settings, choose Upload My Add-in on the Office Add-ins dialog, then browse to and select manifest.xml.
  4. Open (or restart) Excel and open any workbook.
  5. On Mac, go to Home → Add-ins and select PAE Bird from the menu that appears.
  6. The PAE Bird button/task pane appears, and formulas like =PAE.SOLVE(...) work in any cell.

Official Microsoft instructions: Mac · Windows / web

Download not working? Copy manifest.xml directly

If the download button isn't cooperating (some security software blocks files named "manifest.xml"), copy the text below into a new file on your computer named exactly manifest.xml, then continue from step 2 above.

=PAE.SOLVE("x^2 - 5x + 6 = 0") =PAE.EXPAND("(2x-1)^3") =PAE.FACTOR("2x^2 + 6x + 4") =PAE.DIFFERENTIATE("x^3 + 2x","x") =PAE.INTEGRATE("3x^2","x")
PAE Bird Excel add-in — function results

All five PAE functions returning results live in Excel cells.

PAE Bird Excel — formula bar showing =PAE.SOLVE()

Native Excel formula syntax — type it just like any other function.

PAE Bird Excel — worksheet generator

Generate Student and Teacher worksheets directly from the task pane.

LibreOffice

PAE Bird for LibreOffice Calc

38 PAE Bird math functions — solve, expand, factor, calculus, matrices, chemistry, and more — as native LibreOffice Calc formulas.

⬇ macOS starter template ⬇ Windows sample (3 formulas) ⬇ Windows full template (38 functions)

Windows LibreOffice support is coming soon.

=PAE_SOLVE("x^2 - 5x + 6 = 0") =PAE_EXPAND("(2x-1)^3") =PAE_FACTOR("2x^2 + 6x + 4") =PAE_DIFFERENTIATE("x^3 + 2x";"x") =PAE_INTEGRATE("3x^2";"x")

A starter spreadsheet, not an installable extension — open it, click "Enable Macros," and start using the functions or copy them into your own file.

Get PAE Bird

Downloads

Now available on the Mac App Store, with offline Excel and LibreOffice Calc add-ins.

🖥️

Mac App

Available now

⬇ Mac App Store®

Requires macOS. Free to download, with an annual subscription and a free trial.

📊

Excel

Available now

⬇ Download manifest.xml ⬇ Download starter workbook

Works fully offline once sideloaded — see setup steps below.

📗

LibreOffice Calc

Available now (macOS)

⬇ macOS starter template ⬇ Windows sample (3 formulas) ⬇ Windows full template (38 functions)

Windows LibreOffice support is coming soon.

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989    3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989    3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989    3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989   
Pi illustrated
PAE Bird mascot
PAE Bird want a π?
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1,597 2,584 4,181 6,765 10,946 17,711 28,657 46,368 75,025 121,393 196,418 317,811 514,229 832,040 1,346,269 2,178,309 3,524,578 5,702,887 9,227,465 14,930,352 24,157,817 39,088,169 63,245,986 102,334,155 165,580,141 267,914,296 433,494,437 701,408,733

Audience

Built for

Students Educators Engineers Developers Anyone doing symbolic math at scale

About Stewart Breier

Stewart Breier

Work on PAE Bird began with hand coding, with the first few rounds in LISP, before migrating to C++, and now to Chez Scheme. Later developments increasingly incorporated AI. The first spark of a dream of a PAE Bird originated during my youthful programming lessons in BASIC, where I was amazed at how I could automate Algebra.

When I am not programming PAE Bird, I am in the classroom as a Substitute Teacher, furthering my education at National University in their MSW program, submitting my poetry, playing TTRPGs, painting digital art, or working on my Tai Chi.

Connect on LinkedIn
Stewart Breier

Get PAE Bird for Mac

Fully offline. Lightweight. Fast. Available now on the Mac App Store®.

⬇ Download on the Mac App Store

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