Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We need to solve the equation $3^{x+4} = (\frac{1}{27})^x$ for $x$.
ExponentsEquationsSolving EquationsLogarithms
2025/4/21
The problem is to solve the equation $sin(5x^2) = cos(2x+6)$. The angle is in degrees.
TrigonometryQuadratic EquationsEquation SolvingApproximation
2025/4/21
We are asked to simplify the following expression: $\frac{-18s^5t(7s+3)}{70st^2(s-2t)} \div \frac{30...
Algebraic simplificationRational expressionsExponentsVariables
2025/4/21
The problem is to simplify the following expression: $\frac{10xy(x-2y)}{-6x^3y^2(x+y)} \times \frac{...
Algebraic simplificationRational expressionsExponentsFactorization
2025/4/21
We are asked to evaluate the expression $\sqrt[7]{(10)^7}$ if possible, and if the result is a real ...
ExponentsRootsSimplification
2025/4/21
The problem asks to simplify the expression $\sqrt[4]{p^4 q^8}$. We assume that $p$ and $q$ represen...
ExponentsRadicalsSimplification
2025/4/21
The problem asks to simplify the expression $\sqrt{64x^2}$, assuming that the variable $x$ represent...
SimplificationSquare RootsAbsolute ValueExpressions
2025/4/21
Simplify the expression $[ \frac{1}{(-6x)^{1}y^{5}z^{\frac{1}{6}}} ]^2$ and express the answer with ...
ExponentsSimplificationAlgebraic Expressions
2025/4/21
The problem requires simplifying the given expression, ensuring all exponents are positive, and eval...
ExponentsSimplificationAlgebraic Expressions
2025/4/21
Suzi builds L shapes using small blocks. An L shape that is 3 blocks high uses 7 blocks. We need to...
SequencesPattern RecognitionQuadratic EquationsProblem Solving
2025/4/21