Math Toolkit

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## Overview The Math Toolkit API provides 48 endpoints covering statistics, linear algebra, number theory, geometry, financial math, and calculus. Full-precision computation. ## Key Features - **Statistics**: Mean, median, mode, std dev, variance, percentiles, correlation, regression, histograms - **Linear Algebra**: Matrix multiplication, determinant, inverse, transpose, eigenvalues - **Number…

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204 ms avg latency

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48 endpoints

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Math Toolkit endpoints

Method	Endpoint	Description
POST	Full descriptive statistics /statistics/describe	Compute comprehensive descriptive statistics for a list of numbers. Returns: mean, median, mode, standard deviation (sample), variance (sample), min, max, range, percentiles…
POST	Calculate a specific percentile /statistics/percentile	Calculate the p-th percentile using linear interpolation.
POST	Detect outliers using IQR method /statistics/outliers	Detect outliers in a dataset using the IQR (Tukey) method. Values below Q1 - 1.5IQR or above Q3 + 1.5IQR are flagged as outliers.
POST	Pearson correlation coefficient /statistics/correlation	Calculate the Pearson correlation coefficient between two lists of numbers. Returns r (correlation), r_squared, and interpretation.
POST	Simple linear regression /statistics/regression	Perform simple linear regression (y = slope * x + intercept). Returns slope, intercept, r_squared, and predicted values.
GET	Least Common Multiple of two or more integers /algebra/lcm	Calculate the LCM of two or more integers.
GET	Primality test /algebra/is-prime	Check whether n is a prime number.
POST	Bin numbers into a histogram /statistics/histogram	Bin a list of numbers into a histogram with equal-width bins. Returns bin edges, counts, and relative frequencies.
GET	Solve quadratic equation ax² + bx + c = 0 /algebra/quadratic	Solve the quadratic equation ax² + bx + c = 0. Returns real roots when discriminant >= 0, complex roots otherwise.
GET	Greatest Common Divisor of two or more integers /algebra/gcd	Calculate the GCD of two or more integers.
GET	Prime factorization /algebra/prime-factors	Return the prime factorization of n as a sorted list (with repetition).
GET	List of primes up to N (Sieve of Eratosthenes) /algebra/primes	Return all prime numbers up to limit using the Sieve of Eratosthenes.
GET	Fibonacci number(s) /algebra/fibonacci	Compute Fibonacci number(s). - terms=false (default): returns F(n) where F(0)=0, F(1)=1 - terms=true: returns the list [F(0), F(1), ..., F(n)]
GET	Factorial with arbitrary precision /algebra/factorial	Compute n! using Python's arbitrary-precision integers.
GET	The N-th prime number /algebra/nth-prime	Return the n-th prime number (1-indexed). Supports up to the 100,000th prime.
GET	Modular arithmetic operations /algebra/modular	Modular arithmetic operations: - mod: a mod b - modpow: a^exp mod b - modinverse: modular inverse of a mod b (if it exists)
POST	Evaluate a polynomial at x /algebra/polynomial	Evaluate a polynomial at x given its coefficients in descending order. E.g. coefficients=[2, -3, 1] represents 2x² - 3x + 1. Uses Horner's method for numerical stability.
POST	Calculate area of a shape /geometry/area	Calculate the area of a shape. Supported shapes: circle, rectangle, triangle (base+height or Heron's), trapezoid, ellipse, regular_polygon, square. For triangle with 3 sides,…
POST	Midpoint between two 2D points /geometry/midpoint	Calculate the midpoint between two 2D points.
POST	Calculate volume of a 3D shape /geometry/volume	Calculate the volume of a 3D shape. Supported shapes: sphere, cylinder, cone, cube, rectangular_prism.
POST	Distance between two points (2D or 3D) /geometry/distance	Calculate the Euclidean distance between two points. Provide z1 and z2 for 3D distance.
POST	Slope between two points /geometry/slope	Calculate the slope and line equation between two 2D points. Returns slope, y-intercept, and the line equation y = mx + b.
POST	Compound interest calculator /financial/compound-interest	Calculate compound interest. Formula: A = P(1 + r/n)^(nt) where r is annual rate (decimal), n is compounding periods per year, t is years.
POST	Simple interest calculator /financial/simple-interest	Calculate simple interest. Formula: I = P * r * t, A = P + I
POST	Loan amortization calculator /financial/loan-payment	Calculate monthly loan payment, total interest, and optional amortization schedule. Uses the standard amortization formula: M = P[r(1+r)^n] / [(1+r)^n - 1]
POST	Subtract two matrices /matrix/subtract	Subtract matrix B from matrix A (A - B). Both must be the same dimensions.
POST	Return on Investment /financial/roi	Calculate ROI and optionally annualised ROI. ROI = (final_value - initial_investment) / initial_investment × 100
POST	Present value of a future cash flow /financial/present-value	Calculate the present value (PV) of a future amount. PV = FV / (1 + r)^t
POST	Future value of a present amount /financial/future-value	Calculate the future value (FV) of a present amount. FV = PV * (1 + r)^t
POST	Break-even analysis /financial/break-even	Calculate break-even units and revenue. Break-even units = Fixed Costs / (Price - Variable Cost per Unit)
POST	Internal Rate of Return (approximation) /financial/irr	Estimate the Internal Rate of Return (IRR) for a series of cash flows. The first cash flow is typically the initial investment (negative). Uses Newton-Raphson iteration.
POST	Profit margin and markup calculator /financial/margin-markup	Calculate both profit margin and markup. - Margin = (Revenue - Cost) / Revenue × 100 - Markup = (Revenue - Cost) / Cost × 100
GET	Health check /health
GET	Convert a number between any bases (2–36) /convert/base	Convert a number from one base to another (both in range 2–36). Supports negative numbers (prefix with '-').
GET	Convert between Roman numerals and decimal /convert/roman	Convert between Roman numerals and decimal integers. - Provide a number (e.g. '42') to get its Roman numeral. - Provide a Roman numeral (e.g. 'XLII') to get its decimal value. -…
GET	Convert to/from scientific notation /convert/scientific	Convert a number to or from scientific notation. - to='scientific': e.g. '602200000000000000000000' → '6.022e+23' - to='decimal': e.g. '6.022e23' → 602200000000000000000000.0
GET	Approximate a decimal as a fraction /convert/fraction	Approximate a decimal as a fraction with a bounded denominator. Uses Python's Fraction class with the best rational approximation.
GET	Generate an identity matrix /matrix/identity	Generate an NxN identity matrix.
GET	Temperature unit conversion /convert/temperature	Convert temperature between Celsius, Fahrenheit, and Kelvin.
POST	Add two matrices /matrix/add	Add two matrices of identical dimensions.
POST	Multiply two matrices /matrix/multiply	Multiply matrix A by matrix B (A × B). A must be MxK and B must be KxN; result is MxN.
POST	Dot product of two vectors (1D matrices) /matrix/dot-product	Calculate the dot product of two vectors. Both inputs should be single-row or single-column matrices of the same length.
POST	Transpose a matrix /matrix/transpose	Transpose a matrix (flip rows and columns).
POST	Calculate matrix determinant (up to 4x4) /matrix/determinant	Calculate the determinant of a square matrix. Supported for matrices up to 4x4.
POST	Calculate matrix inverse (up to 3x3) /matrix/inverse	Calculate the inverse of a square matrix. Supported for 2x2 and 3x3 matrices.
POST	Multiply a matrix by a scalar /matrix/scalar-multiply	Multiply every element of a matrix by a scalar value.
POST	Calculate the trace of a square matrix /matrix/trace	Calculate the trace of a square matrix (sum of main diagonal elements).
GET	Root endpoint /

Math Toolkit pricing

Plan	Price	Rate limit	Quotas
BASIC	Free	—	Requests: 500,000 / monthly
Pro	$9.99 / month	20 / minute	Requests: 10,000 / monthly
Ultra	$29.99 / month	100 / minute	Requests: 100,000 / monthly

Math Toolkit

Math Toolkit endpoints

Math Toolkit pricing

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