Poly Simplify

Core to working with algebra problems is the ability to combine like terms in polynomials. Mathy provides an environment that generates problems that require simplification to satisfy the win-conditions.

Challenge¶

In Poly Simplify, the agent must learn to quickly combine and simplify all the like terms in the generated input expression.

Examples

• 4x + 2y + 2x must be simplified to 6x + 2y
• 23j + 7 + 12x + 2j must be simplified to 25j + 7 + 12x
• 1.3j + 2j - 7 must be simplified to 3.3j - 7

Win Conditions¶

Solve problems by combining all like terms in the provided expression.

No Like Terms¶

Terms are like when connected by an addition or subtraction, and both terms share a variable and exponent.

Examples

• 4x + 2y there are no like terms because x and y are different variables
• 2x^2 + 4x there are no like terms because x^2 and x have different exponents
• 82x + 14x the terms are like because x and x are the same
• 12x + 12y there are no like terms because x and y different variables

No Complex Terms¶

Complex terms are those that can be restated more simply.

Examples

• 2 * 4x is complex because it has multiple coefficients which could be simplified to 8x
• 4x * y * j^2 is not complex despite being verbose because there is only a single coefficient and no matching variables

Example Episode¶

A trained agent learns to combine multiple low-level actions into higher-level ones that combine like terms

Input¶

1k + 210r + 7z + 11k + 10z

Steps¶

Solution¶

12k + 210r + 17z