Since the mean and standard deviation in this problem are 0 and 1, respectively, this can be done by a (mostly) straightforward reading of the standard normal table. I don't know which version you have access to. Some give the total area to the left of the given value, some include negative z-values as well as positive, and some others give the area between the positive z-values and the mean, to which you would add 0.5 if you need the entire area to the left of that value. The version I'm using has positive and negative z-values.
a. Less than -0.67.
For this one, we simply look up -0.67. Go to the -0.6 row, and follow it to the 0.07 column, and you'll see the value 0.2514. That's your answer!
b. Greater than -1.34
When we look up -1.34, we find the value 0.0901. But recall that this is the probability that it is less than -1.34. The probability that it is greater than -1.34 is the complement of that figure, which is 1 - 0.0901, which is 0.9099.
c. Between -1.56 and 2.07
For this one, we subtract the two areas because the area to the left of 2.07 contains the area to the left of -1.56. So we look up both of these values and subtract them. This is easy enough to do, so I'll leave it to you to finish.
d. Greater than 0.98
This is like question. Find the z-value for 0.98, and subtract the area from 1.
e. Less than -2.65 or greater than 2.65
This one is interesting because it's a combination of a left-tail area and a right-tail area. Notice that the two z-values are opposites. Remember that the normal curve is symmetrical, so the area to the left of -2.65 is the same as the area to the right of 2.65. So once we have the area to the left of -2.65 (0.0040), we can just double it to get 0.0080.
Note: if your normal table is different, let me know in the comments, and I can help you make the appropriate adjustments.