Math Tools Skill

Perform mathematical calculations and operations without external dependencies.

When to Use

✅ USE this skill when:

• "Calculate X"

• "Compute statistics"

• "Solve equation"

• "Unit conversion"

• "Percentage calculation"

• "Random number generation"

When NOT to Use

❌ DON'T use this skill when:

• Complex symbolic math ΓåÆ use WolframAlpha API

• Plotting graphs ΓåÆ use plotting libraries

• Matrix operations ΓåÆ use Python with numpy

Commands

Basic Arithmetic

{baseDir}/math.sh add 5 3 {baseDir}/math.sh subtract 10 4 {baseDir}/math.sh multiply 7 8 {baseDir}/math.sh divide 20 4 {baseDir}/math.sh modulo 17 5 {baseDir}/math.sh power 2 10

Multiple Numbers

{baseDir}/math.sh sum 1 2 3 4 5 {baseDir}/math.sh product 2 3 4 {baseDir}/math.sh average 10 20 30 40

Statistics

{baseDir}/math.sh mean 1 2 3 4 5 {baseDir}/math.sh median 1 2 3 4 5 {baseDir}/math.sh mode 1 2 2 3 4 {baseDir}/math.sh stddev 1 2 3 4 5 {baseDir}/math.sh variance 1 2 3 4 5 {baseDir}/math.sh range 1 5 3 8 2 {baseDir}/math.sh min 5 3 8 1 9 {baseDir}/math.sh max 5 3 8 1 9

Geometry

{baseDir}/math.sh circle-area 5 {baseDir}/math.sh circle-circumference 5 {baseDir}/math.sh rectangle-area 10 5 {baseDir}/math.sh rectangle-perimeter 10 5 {baseDir}/math.sh triangle-area 10 5 {baseDir}/math.sh triangle-hypotenuse 3 4 {baseDir}/math.sh sphere-volume 5 {baseDir}/math.sh cube-volume 5

Algebra

{baseDir}/math.sh solve "x + 5 = 10" {baseDir}/math.sh solve "2x = 10" {baseDir}/math.sh quadratic 1 -5 6 {baseDir}/math.sh factorial 5 {baseDir}/math.sh fibonacci 10 {baseDir}/math.sh prime 17

Unit Conversion

{baseDir}/math.sh convert 100 cm m {baseDir}/math.sh convert 1 km mi {baseDir}/math.sh convert 100 c f {baseDir}/math.sh convert 32 f c {baseDir}/math.sh convert 1 lb kg {baseDir}/math.sh convert 1 gal L

Percentage

{baseDir}/math.sh percentage 50 200 {baseDir}/math.sh percent-of 25 100 {baseDir}/math.sh percent-change 50 75 {baseDir}/math.sh percent-increase 100 20 {baseDir}/math.sh percent-decrease 100 25

Random

{baseDir}/math.sh random 10 {baseDir}/math.sh random 1 100 {baseDir}/math.sh random-int 1 10 {baseDir}/math.sh random-float {baseDir}/math.sh shuffle 1 2 3 4 5 {baseDir}/math.sh pick 1 2 3 4 5

Trigonometry

{baseDir}/math.sh sin 30 {baseDir}/math.sh cos 30 {baseDir}/math.sh tan 30 {baseDir}/math.sh asin 0.5 {baseDir}/math.sh acos 0.5 {baseDir}/math.sh atan 1

Rounding

{baseDir}/math.sh round 3.7 {baseDir}/math.sh floor 3.7 {baseDir}/math.sh ceil 3.2 {baseDir}/math.sh abs -5 {baseDir}/math.sh sign -10

Number Theory

{baseDir}/math.sh gcd 12 18 {baseDir}/math.sh lcm 4 6 {baseDir}/math.sh prime-factors 60 {baseDir}/math.sh divisors 12 {baseDir}/math.sh is-prime 17

Options

Option Description

--precision N

Number of decimal places (default: 10)

--json

Output as JSON

--quiet

Output result only

Examples

Basic arithmetic:

{baseDir}/math.sh add 5 3

8

Sum multiple numbers:

{baseDir}/math.sh sum 1 2 3 4 5 6 7 8 9 10

55

Statistics:

{baseDir}/math.sh mean 10 20 30 40 50

30

Geometry:

{baseDir}/math.sh circle-area 5

78.5398163397...

Unit conversion:

{baseDir}/math.sh convert 100 km mi

62.1371192237...

Percentage:

{baseDir}/math.sh percentage 25 200

12.5

Random number:

{baseDir}/math.sh random 1 100 --json

{"min": 1, "max": 100, "result": 42}

Solve simple equation:

{baseDir}/math.sh solve "x + 5 = 10"

x = 5

JSON Output

{baseDir}/math.sh mean 1 2 3 4 5 --json

{"operation": "mean", "input": [1, 2, 3, 4, 5], "result": 3}

Notes

• Uses bash arithmetic and bc for calculations

• All trigonometry uses degrees (not radians)

• Precision can be adjusted with --precision

• Complex math parsed safely

• No external API calls needed