Task 3. Replace the letters in the word MATHEMATICA with digits and addition and subtraction signs so that a numerical expression equal to 2014 is obtained. (Identical letters represent identical digits or signs, different letters represent different digits or signs. It is sufficient to provide an example.) [6 points] (A. V. Khachaturyan)
Answer. $183+1839-8=2014$ M A T E M A T I K A

Comment. To find the solution (and also to prove its uniqueness), it is useful to think about which of the letters are operation signs.

It is clear that A cannot be a sign (as the last symbol of the expression). Then, there must be at least one sign between the first two digits A. The sign $\mathrm{T}$ cannot be either a minus or a plus (even MA + + EMA + IKA is obviously less than $99+999+899<$ 2000). A small enumeration shows that (even if we assume that the expression can start with a plus or minus) M also cannot be a sign.

The only case left is when plus is E, and there is another minus somewhere. The expression MAT + MAT - KA is obviously less than 2000, so the minus is not I, but K. The expression MAT + MATI - A equals MAT $\cdot 11 + (I - A)$, so MAT $\cdot 11 = 2013$ (other numbers divisible by 11 are far from 2014) - this leads to the only answer