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The Problem Solver employs a transparent, dual-architecture system combining computational precision and instructional clarity. This methodology integrates a dedicated mathematical computation engine, which ensures verifiable accuracy, with an advanced, fine-tuned artificial intelligence model. The AI component handles complex natural language queries and word problems to generate the detailed, step-by-step rationales essential for student learning. This unique structure guarantees mathematically accurate results while delivering the comprehensive, accessible explanations expected by educators.
Our math problem solver that lets you input a wide variety of trigonometry math problems and it will provide a step by step answer. This math solver excels at math word problems as well as a wide range of math subjects.
An example algebra word problem about two trains traveling at different speeds.
Here are example math problems within each subject that can be input into the calculator and solved. This list is constantly growing as functionality is added to the calculator.
This solver handles long arithmetic, fractions, unit conversions, and simple geometry. A solid grasp of the order of operations ensures multi-step expressions are evaluated correctly, and ratio and proportion clarifies how ratios translate to fractions for mixing and scaling.
Below are examples of basic math problems that can be solved.
To solve word problems, convert the story into equations. The applied verbal problems lesson explains how to identify unknowns and form equations, and functions from verbal statements teaches how descriptions, such as costs, can be modeled as functions.
Math word problems require interpreting what is being asked and simplifying that into a basic math equation. Once you have the equation you can then enter that into the problem solver as a basic math or algebra question to be correctly solved. Below are math word problem examples and their simplified forms.
Word Problem: Rachel has 17 apples. She gives some to Sarah. Sarah now has 8 apples. How many apples did Rachel give her?
Simplified Equation: 17 - x = 8
Word Problem: Rhonda has 12 marbles more than Douglas. Douglas has 6 marbles more than Bertha. Rhonda has twice as many marbles as Bertha has. How many marbles does Douglas have?
Variables: Rhonda's marbles is represented by (r), Douglas' marbles is represented by (d) and Bertha's marbles is represented by (b)
Simplified Equation: {r = d + 12, d = b + 6, r = 2b}
Word Problem: if there are 40 cookies all together and Angela takes 10 and Brett takes 5 how many are left?
Simplified: 40 - 10 - 5
Pre-algebra covers simplifying expressions, solving equations and inequalities, fractions, exponents, and sequences. The basic algebra introduction reviews operations on expressions and equations, and scientific notation shows how to write big or small numbers in P×10^k form.
Below are examples of Pre-Algebra math problems that can be solved.
Algebra topics include polynomial simplification and factoring, linear and quadratic equations, systems, matrices, functions, complex numbers, vectors, and eigenvalues. The quadratic equations section details methods such as factoring, completing the square, and the quadratic formula, and matrices and determinants introduces matrices and how determinants and inverses are used to solve simultaneous equations.
Below are examples of Algebra math problems that can be solved.
Trigonometry involves right triangles, radian measure, graphing trigonometric functions, identities, equations, complex numbers, and polar coordinates. Trigonometric functions explains sine, cosine, and tangent and their radian measure, and graphs of y = a sin x and y = a cos x demonstrates how amplitude and period shape sine and cosine graphs.
Below are examples of Trigonometry math problems that can be solved.
Precalculus combines relations, functions, rational expressions, polynomials, conic sections, exponential and logarithmic functions, trigonometry, matrices, sequences and series, analytic geometry, and an introduction to limits. Functions and graphs introduces functions and graphing, and plane analytical geometry covers conic sections and analytic geometry.
Below are examples of Precalculus math problems that can be solved.
Calculus includes evaluating limits, derivatives, integration, parametric and polar equations and differential equations. Differentiation introduction shows how to find rates of change, and integration introduction explains the reverse process used for areas and volumes.
Below are examples of Calculus math problems that can be solved.
Statistics covers graphing, descriptive statistics, sampling, probability, discrete and continuous distributions, normal distributions and correlation and regression. Introduction to probability theory outlines basic probability concepts, and normal probability distribution explains the properties of the normal curve and its mean and standard deviation.
Below are examples of Statistics problems that can be solved.
Finite math topics include financial mathematics, probability, counting, permutations and combinations, statistics, matrices, linear programming, Markov chains, and difference equations. Money math teaches how compound interest works, and permutations defines permutations and shows how to count ordered arrangements.
Below are examples of Finite Math problems that can be solved.
Linear algebra deals with matrices, determinants, rank, inverses, eigenvalues, eigenvectors, and diagonalisation. Matrices and determinants introduces matrices and their operations for solving systems, and eigenvalues and eigenvectors defines eigenvectors as non-zero vectors v satisfying Av = λv and notes their applications.
Below are examples of Linear Algebra math problems that can be solved.
Chemistry problems use scientific notation, unit conversions, mole and stoichiometry, balancing equations, gas laws, and concentration calculations. The scientific notation lesson shows how to express very large or small numbers concisely, and ratio and proportion explains how ratios translate to fractions and unit conversions.
Below are examples of Chemistry problems that can be solved.
Physics topics include kinematics, projectile and circular motion, energy and momentum, gravitation, oscillations, waves, electricity, magnetism, and AC circuits. Kinematics distinguishes distance from displacement and uses motion graphs, and AC circuit definitions introduces resistance, capacitance, inductance, reactance, and complex representation of voltage.
Below are examples of Physics math problems that can be solved.
Geometry and graphing involve coordinate and plane geometry, three-dimensional solids, transformations, conic sections, and analytic geometry. Plane analytical geometry covers straight lines, circles, parabolas, ellipses and hyperbolas, and matrices and linear transformations show how matrices perform reflections, rotations, and scaling.
Below are examples of Geometry and graphing math problems that can be solved.
The Problem Solver is designed to guarantee educational access. The solution and detailed step-by-step walkthrough for the initial problem are permanently provided free of charge, with no login or subscription required. This ensures compliance with search engine guidelines and immediate help for students. Beyond this core utility, users can choose from transparent subscription tiers for enhanced features. Our basic plan, AI Math Solver ($9.95/mo), grants unlimited solutions and Academic Bonuses. For comprehensive academic support, the Academic Bundle ($95/mo) includes all AI features plus premium Human Math Tutoring with 24/7 Tutor Availability. All paid plans offer substantial savings, costing up to 60% less when billed annually.
Solution accuracy is ensured by a transparent, dual-architecture system. This system integrates a dedicated mathematical computation engine for verifiable formula accuracy. The engine works alongside a fine-tuned AI model to process complex inputs and deliver trustworthy results.
The solver covers a comprehensive range of mathematics, from Basic Math through Advanced Calculus and Statistics. Crucially, coverage also extends to specialized solutions for both Chemistry and Physics.
No, the Problem Solver does not provide just the final answer. It provides detailed, step-by-step rationales for every solution. This instructional approach helps students master the concepts and effectively improve their grades.
Yes, the Problem Solver handles word problems across all supported curricula. The system is specifically designed to interpret complex natural language queries. This ensures students receive full support for their homework assignments.
Yes, expert support is available if the automated solution is insufficient. The platform offers immediate access to Live Tutoring. This auxiliary service provides personalized assistance whenever needed.
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