Algebra Calculator

Algebra calculators handle the building blocks of algebra and number theory — greatest common factor and least common multiple, averages, sequences, and special number series. Popular tools include the GCF Calculator, LCM Calculator, LCD Calculator, Average Calculator, and Quadratic Sequence nth-Term Calculator.

Choose a tool below for an instant, step-shown answer, or open the Trending tab to see what students are working on this week. Everything is free and works on any device.

  • Numerical Integration over (a, b) — Double-Exponential (Tanh-Sinh) Method
    Compute the definite integral of f(x) on a finite interval [a, b] with Double-Exponential (Tanh-Sinh) quadrature — robust even for endpoint singularities like 1/sqrt(x).
  • Double-Exponential (DE) Quadrature: Integral over (-∞, ∞)
    Numerically integrate any f(x) over the whole real line (-∞, ∞) using Double-Exponential (tanh-sinh / Takahasi-Mori) quadrature. Set precision in significant digits.
  • Prime Number Primality Checker
    Check if a number is prime or composite. Lists all factors, the previous prime and next prime using a fast trial-division primality test.
  • Absolute Value Graph Vertex Calculator
    Free combination (nCr) calculator. Find how many ways to choose r items from n where order does not matter, using C(n,r) = n!/(r!(n-r)!).
  • Function End Behavior Calculator
    Convert a line from slope-intercept form y = mx + b into standard form Ax + By = C instantly. Enter slope and y-intercept to get A, B, and C.
  • Rationalize the Numerator Calculator
    Find the distance between two points (x₁,y₁) and (x₂,y₂) using the distance formula d = √((x₂−x₁)² + (y₂−y₁)²). Fast and exact.
  • Add and Subtract Rational Expressions Calculator
    Add or subtract two fractions a/b ± c/d, get the combined fraction, simplify it by the greatest common factor, and see the decimal value instantly.
  • Zeros of a Function Calculator — Quadratic & Linear f(x)
    Find the zeros (roots) of a quadratic function f(x)=ax²+bx+c. Solves f(x)=0 with the quadratic formula and reports real or complex roots.
  • Proportion Calculator
    Enter any three of A, B, C, and D to complete A:B = C:D and instantly calculate the missing term. Fast, accurate proportion results.
  • Scientific Notation Calculator
    Convert any number to scientific notation (m × 10^e) instantly. Get the mantissa and exponent for very large or very small numbers.
  • Absolute Value Calculator
    Find the absolute value of any number instantly. Enter a positive, negative, or decimal value and get |x| with a clear worked explanation.
  • Simplifying Radicals Calculator
    Simplify any square root into the form a√b. Enter a number to get the simplified radical, coefficient, radicand, and decimal value instantly.
  • Absolute Value Inequalities Calculator
    Solve absolute value inequalities of the form |ax+b| < c, ≤, >, or ≥ c. Get the exact solution interval, boundary points, and step-by-step logic.
  • System of Equations Calculator
    Solve a 2-variable linear system a₁x+b₁y=c₁, a₂x+b₂y=c₂ instantly using Cramer's rule. Detects parallel/identical lines with no unique solution.
  • Numerical Integration Calculator
    Estimate a definite integral of f(x) over [a, b] with the Trapezoidal, Midpoint and Simpson's rules. Shows a convergence table as subdivisions double.
  • Slope Intercept Form Calculator
    Find the slope-intercept equation y = mx + b from two points. Calculates slope (m) and y-intercept (b) instantly with steps.
  • Logarithm Equation Calculator
    Solve the logarithm equation log_b(x) = y for any unknown — base b, argument x, or value y — using x = b^y and the change-of-base rule.
  • Fibonacci Calculator
    Calculate the nth Fibonacci number instantly. Uses Binet's golden-ratio formula F(n)=round(φⁿ/√5) with exact iterative results and term sum.
  • Scientific Notation Arithmetic Calculator
    Add, subtract, multiply or divide numbers in scientific, E or engineering notation. Get the answer in scientific, E and engineering notation with SI prefix.
  • Scientific Notation Converter
    Convert any number to scientific notation, e notation, engineering notation, SI prefix, standard form, order of magnitude, expanded real number and English words.
  • Logarithm Calculator
    Free logarithm calculator. Compute log base 10, natural log (ln), log base 2, or any custom base using log_b(x) = ln(x)/ln(b). Instant results.
  • Slope From Equation Calculator
    Find the slope of a line from its standard-form equation Ax + By = C. Enter A, B and C to get slope m = -A/B and the y-intercept instantly.
  • 3×3 System of Equations Calculator
    Solve a 3×3 system of linear equations in x, y, z using Cramer's rule. Enter all 12 coefficients and get the exact solution and determinant instantly.
  • 3x3 System of Equations Calculator
    Solve a 3x3 system of linear equations using Cramer's Rule. Enter coefficients to find x, y, z plus all determinants instantly.

Frequently asked questions

What can I calculate with these algebra tools?

Factors and multiples (GCF, LCM, LCD), means and averages, arithmetic and quadratic sequences, nth-term formulas, and figurate numbers such as triangular numbers.

Do they show the working, not just the answer?

Yes — most display the steps and formula so you can check your own work and learn the method.

Are they free and mobile-friendly?

Yes — free, no sign-up, and fully usable on phones and tablets.

How accurate are the results?

They apply standard algebraic methods and are tested against known values; for exact fractions or symbolic results, check the tool matches the form your assignment requires.

Which algebra calculators are most popular?

This page lists them by usage; the Trending tab shows what's rising this week.

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