Absolute Value Equation Solver - Solve equations involving absolute values step by step. Shows both positive and negative cases with detailed explanations and verification.
Absolute Value Inequality Solver - Solve inequalities involving absolute values (e.g., |x+a| < b, |x-2| > 3). Understand 'and' vs 'or' conditions with detailed step-by-step solutions.
Age Word Problem Solver - Solve classic age word problems step by step — "X is N years older than Y", "in Y years X will be K times Y", three-person age ratios, and father-son past-vs-present puzzles. Sets up the algebra, solves the linear system, verifies the answer, and animates an age timeline for past, present, and future ages. New
Algebraic Expression Simplifier - Simplify complex algebraic expressions by combining like terms, applying the distributive property, and reducing fractions. Features step-by-step solutions, multiple simplification modes, and detailed explanations.
Binomial Theorem Expansion Calculator - Expand (a+b)^n using the binomial theorem. Get step-by-step expansion with each term, binomial coefficients, Pascal's triangle visualization, and detailed coefficient analysis. New
Coin Word Problem Solver - Solve classic coin word problems step by step — "I have N coins totaling $V in nickels and dimes", "twice as many quarters as dimes", three-coin mixtures with count relationships, and "fewest coins to make $V". Sets up the algebra, solves the linear system, animates coin stacks, and verifies the answer. New
Completing the Square Calculator - Solve quadratic equations by completing the square. Get detailed step-by-step algebraic work, vertex form, geometric visualization, and interactive parabola graph. New
Cubic Equation Solver - Solve any cubic equation ax³+bx²+cx+d=0 using Cardano's formula. Get all three roots (real and complex), step-by-step solution, discriminant analysis, and interactive graph. New
Descartes' Rule of Signs Calculator - Use Descartes' Rule of Signs to determine the possible number of positive and negative real roots of any polynomial. Enter coefficients and see step-by-step sign change analysis with visual diagrams. New
Distance-Speed-Time Triangle Calculator - Solve any one of distance, speed, or time given the other two. Use the interactive D-S-T triangle to pick the unknown, mix units freely (km, mi, m, ft, km/h, mph, m/s, ft/s, knots, sec/min/hr/day), enter time as 1h 30m or 5400 sec, and see an animated journey, full step-by-step solution, plus bonus modes for multi-leg average speed and round-trip harmonic-mean speed. New
Domain and Range Calculator - Determine the domain (possible inputs) and range (possible outputs) of algebraic functions with step-by-step analysis and interval notation.
Expand Polynomials Calculator - Multiply and expand polynomials (binomials, trinomials, and higher-degree expressions) using FOIL method and Binomial Theorem. Get step-by-step solutions with detailed explanations.
Exponential Equation Solver - Solve exponential equations step by step. Supports simple, linear exponent, coefficient, two-base, and quadratic-in-exponential forms. Get detailed solutions with domain analysis and interactive graphs. New
Function Composition Calculator - Calculate the composition of two functions (f ∘ g)(x) and (g ∘ f)(x) with detailed step-by-step instructions showing how to compose functions algebraically.
Function Grapher - Visualize algebraic functions on an interactive coordinate system. Plot multiple equations, identify key features like intercepts, asymptotes, and analyze function behavior.
Function Odd Even Neither Checker - Determine whether a function f(x) is even, odd, or neither with step-by-step algebraic proof, symmetry graph, numerical verification table, and even-odd decomposition. Supports polynomials, trigonometric, exponential, logarithmic, and absolute value functions.
Inequality Solver - Solve linear, quadratic, polynomial, and rational inequalities with step-by-step solutions. Display results graphically on a number line and in interval notation.
Inverse Function Calculator - Calculate the inverse function f^(-1)(x) of a given function f(x) with detailed step-by-step instructions showing how to find the inverse algebraically.
Linear Equation Solver - Solve single-variable linear equations (e.g., ax + b = c) with detailed step-by-step solutions. Shows all algebraic manipulations and verifies the answer.
Literal Equation Solver - Solve literal equations and rearrange multi-variable formulas. Enter any equation like A = πr², choose a variable, and get the isolated solution with step-by-step algebraic manipulation. New
Logarithmic Equation Solver - Solve logarithmic equations step by step. Supports log, ln, and custom bases. Enter any log equation and get the solution with detailed steps, domain analysis, and interactive graph. New
Mixture Problem Solver - Solve concentration and mixture word problems step by step. Blend two solutions of any strength, find how much of a stock solution to add to reach a target concentration, dilute with pure water, strengthen with pure solute, or drain-and-replace part of a mixture — with an animated two-beaker pour visualization, conservation-of-mass equations, and full LaTeX explanations. New
Polynomial Factoring Calculator - Factor polynomials using various methods including GCF, difference of squares, perfect square trinomials, sum/difference of cubes, and quadratic trinomials. Features step-by-step solutions, automatic pattern recognition, and verification.
Polynomial Long Division Calculator - Divide one polynomial by another using long division. Shows the complete step-by-step process, quotient, and remainder with detailed explanations.
Quartic Equation Solver - Solve any quartic equation ax⁴+bx³+cx²+dx+e=0 using Ferrari's method. Get all four roots (real and complex), step-by-step solution, discriminant analysis, factored form, and interactive graph. New
Radical Equation Solver - Solve equations containing radicals (square roots, cube roots, etc.) with step-by-step solutions. Automatically checks for extraneous solutions to ensure accuracy.
Radical Simplifier - Simplify square roots and higher-order radicals into their simplest radical form (e.g., sqrt(50) becomes 5*sqrt(2)), including rationalizing the denominator. Features step-by-step solutions with prime factorization and detailed explanations.
Rational Equation Solver - Solve rational equations containing fractions with variables in the denominator. Get step-by-step solutions showing LCD calculation, fraction clearing, polynomial solving, and extraneous solution checks with interactive graphs. New
Rational Expression Calculator - Simplify, add, subtract, multiply, or divide rational expressions (fractions involving polynomials). Features step-by-step solutions, factoring visualization, domain analysis, and detailed explanations.
Rational Root Theorem Calculator - Use the Rational Root Theorem to find all possible rational roots of a polynomial with integer coefficients. Enter coefficients and get the complete list of candidates, actual roots verification, step-by-step factoring, and interactive visualization. New
Standard Form to Slope-Intercept Converter - Convert linear equations from standard form (Ax + By = C) to slope-intercept form (y = mx + b). Enter the equation or coefficients to get instant results with step-by-step solution, graph, and key line properties. New
Synthetic Division Calculator - Divide polynomials by linear binomials (x - a) using the streamlined synthetic division method. Shows step-by-step process with coefficients and remainder.
System of Inequalities Grapher - Visualize the feasible region (solution set) for a system of two or more linear inequalities. Graph each inequality on a coordinate plane and identify the intersection region.
System of Linear Equations Solver - Solve systems of linear equations (2x2, 3x3, or larger) using Gaussian elimination, Cramer's Rule, or matrix methods. Features detailed step-by-step solutions and multiple solution approaches.
System of Nonlinear Equations Solver - Solve systems of two or more nonlinear equations using the Newton-Raphson method. Find all solutions with step-by-step iterations, Jacobian matrix, convergence analysis, and interactive contour graph. New
Train Meeting Problem Solver - Solve classic two-train word problems step by step. Handles trains meeting head-on, overtaking in the same direction, two trains crossing each other (with lengths), a train passing a pole, and a train crossing a platform or bridge — with animated track visualization, relative-speed math, and full LaTeX explanations. New
Trigonometric Equation Solver - Solve trigonometric equations step by step. Enter any trig equation like sin(x)=0.5 or 2cos(x)+1=0 and get all solutions in any interval, with unit circle visualization and interactive graph. New
Vertex and Axis of Symmetry Calculator - Calculate the vertex (maximum or minimum point) and the axis of symmetry for any quadratic function (parabola) with detailed step-by-step solutions.
Work Rate Problem Solver - Solve "A and B working together" rate problems in five flavors: combined time when both work simultaneously, the missing solo time of one worker, fill-vs-drain pipe problems, alternating-shift problems, and partial completion where one worker joins midway. Animated dual-pie progress visualization, full LaTeX step-by-step explanation, and unit-friendly hour/day/minute support. New
X and Y Intercept Calculator - Calculate the x-intercept (where the graph crosses the x-axis) and y-intercept (where the graph crosses the y-axis) of any equation with detailed step-by-step solutions.
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