Tautology, Implication, Double Implication

Let $p, q, r$ denote respectively the statements: "you are honest", "you are laborious" and "you will receive a promotion". Translate the following statement into English language:

$(p\vee q)\to r$

Write down negation of the following:

Fifteen is greater than five.

Write down negation of the following:

John is a friend of Thomas.

The conditional $(\mathrm{p}\wedge \mathrm{q})\to \mathrm{p}$ is 

Construct truth table for the following and indicate if it is a tautology

$\left[p\to \left(p\vee q\right)\right]\to \left[q\to \left(p\wedge q\right)\right]$

Construct truth table for the following and indicate if it is a tautology

$(p\leftrightarrow q)\wedge (q\leftrightarrow r)\to (p\leftrightarrow r)$

Construct truth tables for the following and indicate which of these are tautologies:

$\left(\left(p\wedge q\right)\to p\right)\to q$

Construct truth table for the following and indicate if it is a tautology

$(~p\vee p)\to (~q\vee q)$

Construct truth table for the following and indicate if it is a tautology:

$(p\to ~p)\to ~p$

Construct truth table for the following and indicate if it is a tautology

$p\vee q\to ~(p\wedge q)$

Construct truth table for the following and indicate if it is a tautology:

$(p\to q)\to \left[\right(q\to r)\to (p\to r\left)\right]$

Construct truth table for the following and indicate if it is a tautology.

$p\to (~q\wedge r)$

Construct truth tables for the following and indicate which of these are tautologies:

$(p\vee ~q)\wedge (q\vee ~p)$

Construct truth table for the following and indicate if it is a tautology.

$~p\wedge (p\wedge q)\to q$

Construct truth table for the following and indicate if it is a tautology:

$p\to (~p\to q)$

Construct truth table for the following and indicate if it is tautology.

$p\to p\wedge q$

Construct truth table for the following and indicate if it is tautology

$p\wedge (p\to q)\to q$

Construct truth table for the following and indicate if it is a tautology

$p\wedge q\to p$

Construct truth table for the following and indicate if this is a tautology.

$p\wedge q\to p\vee q$

Write down negation of the following:

If you read, you will pass.