What is the value of 2 MOD 5?

To find the value of $-2\mathrm{mod}5$, we follow these steps:

1. Understand the definition: $a\mathrm{mod}m$ is the remainder when $a$ is divided by $m$, where $m>0$. For negative numbers, we add multiples of $m$ until the result is non-negative.

2. Apply the formula: $$-2\mathrm{mod}5=(-2+5)\mathrm{mod}5=3\mathrm{mod}5$$ Here, we added $5$ to $-2$ to get $3$, which is within the range $[0,4]$.

3. Final result: The remainder is $3$.

Thus, the value of $-2\mathrm{mod}5$ is 3.