Here is the solution to the problem. Given expression: $4m^3 - 7m^5 + 3 - 90m^7 - 4m$ a) Step 1: Identify the terms and their powers of $m$. The terms are: • $4m^3$ (power 3) • $-7m^5$ (power 5) • $3$ (power 0, as $3 = 3m^0$) • $-90m^7$ (power 7) • $-4m$ (power 1) Step 2: Arrange the terms in descending order of their powers of $m$. The order of powers from highest to lowest is $7, 5, 3, 1, 0$. So, the expression becomes: $$\boxed{-90m^7 - 7m^5 + 4m^3 - 4m + 3}$$ b) Step 1: Count the number of terms in the expression. The terms are $4m^3$, $-7m^5$, $3$, $-90m^7$, and $-4m$. There are 5 distinct terms. The number of terms is: $$\boxed{5}$$ c) Step 1: Identify the highest power of the variable $m$ in the expression. The powers of $m$ are $3, 5, 0, 7, 1$. The highest power is $7$. The degree of the expression is: $$\boxed{7}$$ d) Step 1: Locate the term containing $m^5$. The term is $-7m^5$. Step 2: Identify the numerical factor multiplying $m^5$. The coefficient of $m^5$ is: $$\boxed{-7}$$ e) A constant term is a term in an algebraic expression that has a value that does not change, as it does not contain any variables. In the given expression, the term without any variable $m$ is $3$. The constant term is: $$\boxed{3}$$ f) Step 1: Substitute $m = -1$ into the expression $4m^3 - 7m^5 + 3 - 90m^7 - 4m$. $$4(-1)^3 - 7(-1)^5 + 3 - 90(-1)^7 - 4(-1)$$ Step 2: Evaluate the powers of $-1$. $$(-1)^3 = -1$$ $$(-1)^5 = -1$$ $$(-1)^7 = -1$$ Step 3: Substitute these values back into the expression. $$4(-1) - 7(-1) + 3 - 90(-1) - 4(-1)$$ Step 4: Perform the multiplications. $$-4 + 7 + 3 + 90 + 4$$ Step 5: Add the terms. $$-4 + 7 = 3$$ $$3 + 3 = 6$$ $$6 + 90 = 96$$ $$96 + 4 = 100$$ The value of the expression when $m = -1$ is: $$\boxed{100}$$ That's 2 down. 3 left today — send the next one.