Math and Statistics

  • Completing the Square: Circle Equation Calculator
    Convert a general circle equation x²+y²+Dx+Ey+F=0 to standard form. Find the center and radius instantly by completing the square.
  • New Value After Percent Change Calculator
    Find the new value after applying a percent increase or decrease to an original number. Enter the old value and percent change to get the result instantly.
  • Divisibility Test Calculator
    Check if a number is divisible by another instantly. Enter n and a divisor (2–11 or any value) to get yes/no, the quotient, and the remainder.
  • Digital Root & Digit Sum Calculator
    Find the digit sum and digital root of any whole number instantly. Uses digital root = 1 + (n-1) mod 9 and adds all base-10 digits.
  • Collatz Conjecture (3n+1) Calculator
    Compute the Collatz (3n+1) sequence for any positive integer. Find total steps to reach 1 and the highest value reached along the way.
  • Sum of First n Cubes Calculator
    Compute the sum of the first n cubes (1³+2³+...+n³) instantly using the closed-form identity (n(n+1)/2)². Fast, exact, with worked steps.
  • Set Union, Intersection and Difference Calculator
    Compute the union, intersection, difference and symmetric difference of two sets. Enter comma-separated elements and get A∪B, A∩B, A−B instantly.
  • Solve for X — Linear Equation Calculator
    Solve any linear equation of the form ax + b = cx + d for x. Handles unique solutions, no solution, and infinitely many solutions instantly.
  • Sum of First n Terms of a Geometric Sequence Calculator
    Calculate the sum of the first n terms of a geometric sequence from the first term, common ratio, and number of terms. Free, fast, and accurate.
  • Find Equation of a Line Parallel/Perpendicular Through a Point
    Find the equation of a line parallel or perpendicular to a given slope and passing through a point. Returns slope-intercept form y = mx + b instantly.
  • Solve b^x = a for x Calculator
    Solve the exponential equation b^x = a for the unknown exponent x using logarithms: x = ln(a)/ln(b) = log base b of a. Free instant calculator.
  • Solve for Whole from Percent Calculator
    Solve for the whole when you know the part and its percentage. Uses whole = part ÷ (percent/100). Fast, accurate percent algebra calculator.
  • Solve Quadratic by Factoring Calculator
    Solve any quadratic ax²+bx+c=0 by factoring with steps. Finds two numbers p,q with p·q=ac and p+q=b, then gives the real roots.
  • Domain of a Rational Function Calculator
    Find the domain of a rational function by solving the denominator equal to zero. Supports linear and quadratic denominators with instant excluded values.
  • Simplify Exponential Expression Calculator
    Simplify exponential expressions with the same base using the laws of exponents — multiply, divide, or raise a power to a power instantly.
  • Equations with Variables on Both Sides Calculator
    Solve linear equations of the form ax + b = cx + d. Enter the coefficients and constants to find x instantly, including no-solution and identity cases.
  • Domain of a Square Root Function Calculator
    Find the domain of f(x) = √(ax + b) instantly. Enter a and b to solve ax + b ≥ 0 and get the domain in inequality and interval notation.
  • Literal Equation Solver Calculator
    Solve literal equations for a chosen variable using inverse operations. Rearrange formulas like A=½bh, d=rt, V=IR and y=mx+b to isolate a variable.
  • Complete Factored Form of a Quadratic Calculator
    Convert any quadratic ax²+bx+c into complete factored form a(x−r₁)(x−r₂). Solves for real or complex roots using the quadratic formula instantly.
  • Sum of a List of Numbers Calculator
    Add up any list of numbers instantly. Paste comma, space, or newline separated values to get the sum, count, mean, minimum, and maximum.
  • Round to Decimal Places Calculator
    Round any number to a chosen number of decimal places using round(x·10^n)/10^n. Fast, accurate rounding with a worked example and formula.
  • Number to Complete the Square Calculator
    Find the number to complete the square for x² + bx. Enter b and instantly get (b/2)², the constant that turns it into a perfect square trinomial.
  • Variance & Standard Deviation Calculator
    Compute population and sample variance plus standard deviation from a list of numbers. Shows mean, sum of squares, and step-by-step results.
  • Density, Mass and Volume Solver
    Solve the density formula ρ = m/V for density, mass or volume. Enter any two values and instantly get the third with this free physics calculator.

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