Math Multi-Tool

About This Multi-Tool

Translated from C++ utilities designed to solve common mathematical, chemical, and physical problems.

Geometry Multi-Tool: Calculate area, perimeter, volume, surface area, and trig functions.
Matrix Solver: Gaussian Elimination with partial pivoting.
Polynomial Root Finder: Durand-Kerner algorithm with complex numbers.
Chemical Equation Balancer: Brute-force solver for reaction coefficients.
Kinematics Auto-Solver: Calculates missing physical variables automatically.
Stats & Calculus: Mean/variance calculations and 3D vector gradient math.
Income Tax Calc: Progressive marginal tax estimation for North America.

Finds the lowest whole-number coefficients for A + B -> C + D.

Element 1 (Symbol, R1 atoms, R2 atoms, P1 atoms, P2 atoms) comma separated:

Element 2 (Symbol, R1, R2, P1, P2):

Element 3 (Symbol, R1, R2, P1, P2):

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Calculate shapes, hypotenuses, and trig functions.

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Enter knowns, leave unknowns blank. Solves automatically.

Displacement (d):

Initial Velocity (vi):

Final Velocity (vf):

Acceleration (a):

Time (t):

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Uses partial pivoting for numerical stability. Enter the augmented matrix row by row, comma separated.

Augmented Matrix (e.g., for 2x2 with constants: "2, 1, 5 \n 1, -1, 1"):

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Finds complex roots using the Durand-Kerner algorithm and Horner's method.

Coefficients (highest degree to constant, comma separated):

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Calculate descriptive stats. Paste CSV column data below.

Data Column (comma or newline separated):

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Vector arithmetic and partial derivatives for f(x,y,z) = x^2 + yz.

Vector A (x, y, z): Vector B (x, y, z): Point for Gradient f(x,y,z) (x, y, z):

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Estimates progressive federal and regional tax burdens based on simplified 2024/2025 brackets.

Country:

State / Province / Territory:

Annual Gross Income (Local Currency):

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