Evaluates any mathematical expression using mathjs. Supports arithmetic, trigonometry (sin, cos, tan, pi, e), algebra, calculus (derivative, integrate), complex numbers (2+3i), fractions, BigNumber precision (bignumber()), matrices (det, inv, transpose), logic, and units. Use mode='symbolic' for exact symbolic results via Algebrite. Examples: '2^10', 'sin(pi/4)', 'det([[1,2],[3,4]])', 'derivative("x^3", "x")', 'integrate(x^2, x, 0, 1)'

Solves an equation for a variable. Format equation as 'lhs = rhs' (e.g. 'x^2 - 4 = 0'). Returns all solutions including complex ones. Examples: 'x^2 - 4 = 0' with variable 'x', 'x^3 - 6x^2 + 11x - 6 = 0' with variable 'x'

Simplifies a mathematical expression using mathjs rules. Combines like terms, applies trig identities (sin²+cos²=1), and reduces constants. Examples: 'sin(x)^2 + cos(x)^2', '2x + 3x', '3 + 4 * 2'

Factors a polynomial expression using Algebrite. Returns the factored form. Examples: 'x^2 - 4' → '(x+2)(x-2)', 'x^3 - 6x^2 + 11*x - 6', '12' → prime factorization

Expands a factored or compound expression using Algebrite. Examples: '(x+1)^3', '(a+b)(a-b)', '(x+2)(x-2)'

Performs matrix operations. Ops: multiply, add, subtract, inverse, transpose, determinant, eigenvalues, eigenvectors, rank, norm, trace, cross (3D vectors), dot (vectors). SVD is not currently supported. Binary ops (multiply/add/subtract) require both 'a' and 'b'. Inputs are 2D number arrays. Examples: op='determinant', a=[[1,2],[3,4]]

Computes descriptive statistics and probability distributions. Descriptive ops use 'data' array: mean, median, mode, std, variance, min, max, sum, quantile (needs args.prob), mad, skewness (n≥3), kurtosis (n≥4). Distribution ops use 'args': normal_pdf/cdf/inv, binomial_pmf/cdf, poisson_pmf/cdf, t_pdf/cdf, chi2_pdf/cdf. Also: linear_regression (uses 'data' as y-values and auto-indexes x as [0,1,2,...,n-1]). Args vary by op — e.g. normal_pdf needs {x, mean, std}, binomial_pmf needs {k, n, p}

Converts between units. Format: ' to '. Supported: length (km, miles, m, ft, in), mass (kg, lb, g, oz), temperature (degC, degF, K), pressure (Pa, atm, bar, psi), energy (J, kWh, cal), speed (km/h, mph, m/s), area (m^2, acre, ft^2). Examples: '5 km to miles', '100 degF to degC', '1 atm to Pa'