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Chinese Remainder Theorem

Given a set of modulo equations in the form:

x ≡ a mod b

x ≡ c mod d

x ≡ e mod f

the calculator will use the Chinese Remainder Theorem to find the lowest possible solution for x in each modulus equation.

Given that the n_{i} portions are not pairwise coprime and you entered two modulo equations, then the calculator will attempt to solve using the Method of Successive Subsitution

x ≡ a mod b

x ≡ c mod d

x ≡ e mod f

the calculator will use the Chinese Remainder Theorem to find the lowest possible solution for x in each modulus equation.

Given that the n

Diophantine Equations

Solves for ax + by = c using integer solutions if they exist

Linear Congruence

Given an modular equation ax ≡ b (mod m), this solves for x if a solution exists

Math Problem Library

Contains word problems and other long form problems with step-by-step solutions.

Molar Mass

Calculates the molar mass of an element or solution.

Solution Mixture

Determines a necessary amount of a Solution given two solution percentages and 1 solution amount.

the square root of twice a number is 4 less than the number

Help

A certain number added to its square is 30

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Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time pe

The sum of a number and its square is 72. find the numbers?

if x2 is added to x, the sum is 42

Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run