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