Developer Utilities
Small developer utilities that save a trip to a random website. Encode and decode Base64, explain a regex, build UTM links, generate QR codes and vCards, and more — the everyday helpers. Free in your browser, and available by API when you need them in a script.
Developer Utilities
Vertical asymptote calculator for rational functions
POST /algebra/rational-vertical-asymptote$0.002Developer Utilities
Square root function domain calculator
√(ax+b) interval, free
POST /algebra/square-root-function-domain$0.002Developer Utilities
Common logarithm calculator
calculate log base 10
POST /algebra/common-log$0.002Developer Utilities
Doubling Time Calculator
Calculate Growth Time
POST /algebra/doubling-time$0.002Developer Utilities
Function iteration calculator
generate an orbit from a starting value
POST /algebra/function-iteration$0.002Developer Utilities
Logarithm quotient rule calculator
expand log(u/v) as difference of logs
POST /algebra/log-quotient-rule$0.002Developer Utilities
Logarithmic to exponential form converter
log_b(x)=y → b^y=x
POST /algebra/log-to-exponential$0.002Developer Utilities
One-to-one function checker
horizontal line test, free
POST /algebra/one-to-one-function-check$0.002Developer Utilities
Complex number addition calculator
add a+bi and c+di
POST /algebra/complex-add$0.002Developer Utilities
Complex modulus calculator
|z| = √(a²+b²) distance from origin
POST /algebra/complex-modulus$0.002Developer Utilities
Complex number power calculator
De Moivre (a+bi)^n rectangular
POST /algebra/complex-power$0.002Developer Utilities
Complex Square Root Calculator
Find Both Roots
POST /algebra/complex-square-root$0.002Developer Utilities
Logarithmic inequality solver
domain and interval notation
POST /algebra/log-inequality$0.002Developer Utilities
Simplify logarithmic expressions
exact log rules calculator
POST /algebra/log-simplify$0.002Developer Utilities
Number of terms in an arithmetic sequence
calculator for n
POST /algebra/arithmetic-number-of-terms$0.002Developer Utilities
Product of complex conjugates calculator
z·z̄ = |z|²
POST /algebra/complex-conjugate-product$0.002Developer Utilities
Complex cube roots calculator
polar and rectangular forms
POST /algebra/complex-cube-roots$0.002Developer Utilities
Imaginary part of a complex number calculator
rectangular or polar
POST /algebra/complex-imaginary-part$0.002Developer Utilities
Square of a Complex Number Calculator
Rectangular Form
POST /algebra/complex-square$0.002Developer Utilities
Common ratio calculator
find the multiplier from consecutive terms
POST /algebra/geometric-common-ratio$0.002Developer Utilities
Nth roots of unity calculator
complex roots on the unit circle
POST /algebra/roots-of-unity$0.002Developer Utilities
Arithmetic sequence missing term calculator
fill the blank
POST /algebra/arithmetic-missing-term$0.002Developer Utilities
Geometric sequence first term calculator
find a1 from an, n, r
POST /algebra/geometric-first-term$0.002Developer Utilities
Geometric mean of two numbers
√(a×b) calculator, free
POST /algebra/geometric-mean-two-numbers$0.002Developer Utilities
Sigma Notation Sum Calculator
Evaluate Finite Series
POST /algebra/sigma-notation-sum$0.002Developer Utilities
Sum of First n Natural Numbers Calculator
n(n+1)/2
POST /algebra/sum-of-natural-numbers$0.002Developer Utilities
Sum of first n odd numbers calculator
total equals n squared
POST /algebra/sum-of-odd-numbers$0.002Developer Utilities
Binomial coefficient calculator
compute n choose k exactly
POST /algebra/binomial-coefficient$0.002Developer Utilities
Characteristic polynomial 2x2 calculator
coefficients
POST /algebra/matrix-characteristic-polynomial-2x2$0.002Developer Utilities
2x2 determinant calculator
calculate ad minus bc
POST /algebra/matrix-determinant-2x2$0.002Developer Utilities
Hadamard product calculator
element-wise matrix multiply, free
POST /algebra/matrix-hadamard$0.002Developer Utilities
Matrix minor calculator
M_ij by deleting row and column, free
POST /algebra/matrix-minor$0.002Developer Utilities
Matrix of cofactors calculator
signed minors online
POST /algebra/matrix-of-cofactors$0.002Developer Utilities
Symmetric matrix checker
test A = Aᵀ and first mismatch
POST /algebra/matrix-symmetric-check$0.002Developer Utilities
Absolute Value Expression Evaluator at a Given Input
POST /algebra/absolute-value-evaluate$0.002Developer Utilities
Multinomial Coefficient Expansion Calculator
POST /algebra/multinomial-coefficient$0.002Developer Utilities
Multiply rational expressions calculator
factor, cancel, excluded values
POST /algebra/multiply-rational-expressions$0.002Developer Utilities
Direct rule of three calculator
find the fourth proportional
POST /algebra/rule-of-three-direct$0.002Developer Utilities
Set-builder to interval notation converter
free
POST /algebra/set-builder-to-interval$0.002Developer Utilities
Distributive property calculator
expand expressions
POST /algebra/distribute-expression$0.002Developer Utilities
Interval notation from inequality calculator
open/closed brackets, free
POST /algebra/interval-from-inequality$0.002Developer Utilities
What percent of calculator
find the percentage
POST /algebra/is-what-percent-of$0.002Developer Utilities
Midpoint of a segment calculator
halfway point between two endpoints
POST /algebra/midpoint-of-segment$0.002Developer Utilities
Solve for x in a ratio calculator
equivalent proportions
POST /algebra/ratio-solver$0.002Developer Utilities
Slope from linear equation calculator
solve any line for y
POST /algebra/slope-of-line-from-equation$0.002Developer Utilities
Cross multiplication calculator
solve a/b = c/d for the unknown
POST /algebra/cross-multiply$0.002Developer Utilities
GCF of monomials calculator
greatest common factor of algebraic terms
POST /algebra/gcf-of-terms$0.002Developer Utilities
Aphelion distance from eccentricity calculator
POST /astro/aphelion-distance$0.002Developer Utilities
Orbital speed at altitude calculator
circular v from μ, R, and h, free
POST /astro/orbital-speed-at-altitude$0.002Developer Utilities
Perihelion velocity calculator
maximum orbital speed at closest approach
POST /astro/perihelion-velocity$0.002Developer Utilities
Specific orbital energy from semi-major axis calculator
POST /astro/specific-energy-from-sma$0.002Developer Utilities
Apparent magnitude from absolute magnitude and distance calculator
POST /astro/apparent-from-absolute$0.002Developer Utilities
Apsis speed ratio calculator
periapsis to apoapsis speed
POST /astro/apsis-speed-ratio$0.002Developer Utilities
Combined maneuver Δv calculator
speed change + plane change burn
POST /astro/combined-plane-change$0.002Developer Utilities
Escape burn delta-v calculator from a circular orbit
POST /astro/escape-burn-deltav$0.002Developer Utilities
Escape velocity at altitude calculator
mass, radius and height
POST /astro/escape-velocity-at-altitude$0.002Developer Utilities
Orbital flight path angle calculator
eccentricity and true anomaly
POST /astro/flight-path-angle$0.002Developer Utilities
Hohmann Total Delta-V Calculator for Circular Orbits
POST /astro/hohmann-deltav-total$0.002Developer Utilities
Hohmann transfer orbit semi-major axis calculator
POST /astro/hohmann-transfer-sma$0.002Developer Utilities
Hyperbolic semi-major axis calculator
a=−μ/v∞² from μ, v∞
POST /astro/hyperbolic-semimajor$0.002