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# Basic Algebra and Coding Theory

(q+8)/3+(q-2)/2=10/3

Subtract. Simplify if possible
(3-z)/(z-9)-(9_z-5)/(9-z)

Simplify by removing factor of 1
(x^2-36)/(6-x)

Divide and simplify
(g+1)/(g-9)÷(2g+2)/(g-8)

Solve
(x-7)/(x+8)=3⁄7

(v+6)/v+v/(v+6)

Find the LCM of
(7+5_r)(49-25r^2 )and (7-5_r)

Solve
x+2/x=-3

Find the LCM
〖10b〗^7 a^2,〖2b〗^2 a^4,〖15b〗^3 a^6

3/(3+z)+7/(3+z)

Subtract. Simplify if possible
5/(〖5s〗^2-5s)-3/(5s-5)

Solve
2-(a-6)/(a+4)=(a^2-6)/(a+4)

(t+w)/〖tw〗^2 +(9t+w)/(t^2 w)

9/(r-7)+9/(r+7)

Simplify by removing factor of 1
(〖8n〗^2+8n)/(〖56n〗^2+64n)

Multiply and simplify
〖10b〗^6/〖11t〗^5 ×〖121t〗^7/100b

Divide and simplify
(s^2+4s)/(s^2+3s-4)÷s/(s+1)

Divide and simplify
d/c^2 ÷d^2/c^3

Elena bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycles 36km, Elena can bicycles 54km. How fast does each bicycles travel?

Find all numbers for which the rational expression is undefined.
1/(4y+9)

The office jet printer can copy Sue's dissertation in 8 minutes. The laser jet printer can copy the same document in 18 minutes. If the two (2) machines work together, how long would they take to copy the dissertation?

Simplify by removing the factor of 1
(〖1280w〗^9 y^4)/(〖100w〗^7 y^2 )

Hat sizes are determined by measuring the circumstances of one's head in either inches or centimeters. Use ratio proportion to complete the following:
Hat size (7 1⁄8)
Head circumferences to the nearest 1⁄5 inch (22 2⁄5)
Head circumferences to the nearest centimeters, 57, 55.

#### Solution Summary

The solution assists with solving basic algebra problems using coding theory.

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