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# Algebra Warmups

From cracking cryptograms to calculating the top speed of a rocket, algebra gives you tools to apply mathematical reasoning to a wide range of problems. Dive in and see what you already know!

# Algebra Warmups: Level 3 Challenges

What is the value of

$\large \sqrt{1\text{%}}\, ?$

$\frac{100001+100003+100005+\cdots+199999}{1+3+5+7+\cdots+99999} = \ ?$

Over all real numbers $$x$$, find the minimum value of $$\sqrt{(x+6)^2+25} + \sqrt{(x-6)^2+121}$$.

$\large (x+3)(x+4)(x+6)(x+7) = 1120$

Find the sum of all reals $$x$$ satisfying the equation above.

$\large \sqrt{-2}\times\sqrt{-3}=\ ?$

In this problem, the square root is a function from the complex numbers to the complex numbers.

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