- Fraction Calculator
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De Moivre Theorem CalculatorRaise any complex number a + bi to a power n using De Moivre theorem. Get the polar and rectangular form, modulus, and argument instantly.
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Factor Difference of Cubes CalculatorFactor a difference of cubes a³−b³ into (a−b)(a²+ab+b²). Enter a and b to get the factored form, each term, and the numeric value instantly.
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Dividing Scientific Notation CalculatorDivide two numbers written in scientific notation instantly. Enter coefficients and exponents to get the quotient in normalized scientific notation and decimal form.
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Expanded Form of a Number CalculatorConvert any whole number into expanded form using place value. Instantly see each digit multiplied by its power of ten and the full sum.
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Pythagorean Triple Generator CalculatorGenerate Pythagorean triples (a, b, c) from two integers m and n using Euclid formula: a=m²−n², b=2mn, c=m²+n². Free, instant, exact.
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Logarithm Base Conversion CalculatorEvaluate logₐ(b) for any base instantly. Uses the change-of-base formula logₐ(b) = ln(b)/ln(a) to compute logarithms in any base accurately.
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Sum of First n Even Numbers CalculatorFind the sum of the first n even numbers (2 + 4 + 6 + ...) instantly using the closed-form formula n(n+1). Free, fast, and accurate.
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Sum of First n Odd Numbers CalculatorFind the sum of the first n odd numbers instantly. Uses the famous identity 1+3+5+...+(2n−1) = n². Enter n and get the result with steps.
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Solve Compound Interest for Rate or TimeSolve the compound interest formula for the unknown interest rate or time. Enter principal, future amount and compounding frequency to find r or t.
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Straight-Line Depreciation CalculatorCalculate straight-line (linear) depreciation: annual expense, accumulated depreciation, and book value of an asset after any number of years.
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Simplify a Ratio to Lowest Terms CalculatorReduce any ratio a:b to its simplest form. Enter two numbers and instantly get the lowest-terms ratio plus the greatest common divisor (GCD).
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Break-Even Point CalculatorFind the break-even point in units and revenue from fixed cost, selling price, and variable cost per unit. Free linear cost-revenue-profit calculator.
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Perpendicular Bisector Equation CalculatorFind the perpendicular bisector of a segment from two points: midpoint, perpendicular slope, y-intercept and the full line equation in seconds.
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Midpoint Formula CalculatorFind the midpoint between two points (x1, y1) and (x2, y2) instantly. Free midpoint formula calculator: Mx = (x1+x2)/2, My = (y1+y2)/2.
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Quadratic Axis and Y-Intercept CalculatorFind the y-intercept and x-intercepts of any quadratic y = ax² + bx + c. Computes the discriminant and tells you if real roots exist.
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Amplitude, Period & Phase Shift CalculatorFind amplitude, period, phase shift, and vertical shift of y = a·sin(bx − c) + d. Enter a, b, c, d and get all transformations instantly.
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Common Difference CalculatorFind the common difference (d) of an arithmetic sequence from the first term, an n-th term, and its position. Free, instant, with worked steps.
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Find the Missing Endpoint from Midpoint CalculatorFind the missing endpoint of a line segment given one endpoint and the midpoint. Solves x2 = 2xm - x1 and y2 = 2ym - y1 instantly.
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Geometric Sequence Common Ratio CalculatorFind the common ratio (r) of a geometric sequence by dividing any term by the term before it. Fast, accurate, with worked examples.
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Complete the Sequence Pattern CalculatorFind the next number in a sequence. Detects arithmetic (constant difference) or geometric (constant ratio) patterns and extends them automatically.
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Partial Sum of a Series (Σ) CalculatorCompute the partial sum Σ from i=m to n of common functions f(i): i, i², i³, linear a·i+b, geometric a·rⁱ, and harmonic 1/i.
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Remaining Amount After n Half-Lives CalculatorCalculate how much of a substance remains after a given time using the half-life decay formula N = N₀ · (1/2)^(t/T½). Free, instant, accurate.
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Two-Worker Time Together CalculatorSolve work-rate word problems: if A finishes in a hours and B in b hours, find how long they take working together with t = a·b/(a+b).
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Find the nth Term Rule of a Sequence CalculatorFind the nth term of an arithmetic or geometric sequence. Enter your terms, auto-detect the common difference or ratio, and get the nth-term rule.
