Table 13: GSM8K examples used for the few-shot prompting. Reasoning tokens are highlighted by green. To get the Vanilla prompts, we simply remove the highlighted reasoning tokens.
Chain-of-thought (CoT)	Self-Notes
Q: A restaurant is counting their sales for the day. They sold 10 meals at $8 each, 5 meals at $10 each, and 20 meals at $4 each. In dollars, how much money did the restaurant make throughout the day?	Q: A restaurant is counting their sales for the day. They sold 10 meals at $8 each, (that's 10 meals * $8 = $80 total sale) 5 meals at $10 each, (that's 5 meals * $10 = $50 additional sale. So $80 + $50 = $130 total sale so far) and 20 meals at $4 each. (that's 20 meals * $4 = $80 more sale. So $130 + $80 = $210 total sale so far) In dollars, how much money did the restaurant make throughout the day? (the total sale so far is 210 dollars)
A: From the first set of meals, the restaurant earned 10 meals * $8 = $80. From the second set of meals, the restaurant earned 5 meals * $10 = $50. From the third set of meals, the restaurant earned 20 meals * $4 = $80. In total, the restaurant earned $80 + $50 + $80 = $210. So the answer is 210	A: The answer is 210
Q: Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. How many feet does he travel vertically in total over the week if each story is 10 feet tall?	Q: Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. (he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day) How many feet does he travel vertically in total over the week if each story is 10 feet tall? (there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 feet = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 feet * 42 = 2100 feet)
A: Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day. Since there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 * 42 = 2100 feet in a week. So the answer is 2100	A: The answer is 2100
Q: The Tampa Bay Bucs have 13 football players and 16 cheerleaders. If 10 football players and 4 cheerleaders quit, how many football players and cheerleaders are left?	Q: The Tampa Bay Bucs have 13 football players and 16 cheerleaders. If 10 football players and 4 cheerleaders quit, (there are 13 - 10 = 3 football players left. And 16 - 4 = 12 cheerleaders left) how many football players and cheerleaders are left? (in total 3 + 12 = 15 football players and cheerleaders left)
A: There are 13 - 10 = 3 football players left. There are 16 - 4 = 12 cheerleaders left. In total there are 3 + 12 = 15 football players and cheerleaders left. So the answer is 15	A: The answer is 15
Q: Leila and her friends want to rent a car for their one-day trip that is 150 kilometers long each way. The first option for a car rental costs $50 a day, excluding gasoline. The second option costs $90 a day including gasoline. A liter of gasoline can cover 15 kilometers and costs $0.90 per liter. Their car rental will need to carry them to and from their destination. How much will they save if they will choose the first option rather than the second one?	Q: Leila and her friends want to rent a car for their one-day trip that is 150 kilometers long each way. (the total travel distance is 150 x 2 = 300 kilometers) The first option for a car rental costs $50 a day, excluding gasoline. The second option costs $90 a day including gasoline. A liter of gasoline can cover 15 kilometers and costs $0.90 per liter. Their car rental will need to carry them to and from their destination. (they will need 300 / 15 = 20 liters of gasoline. So, they will pay $0.90 x 20 = $18 for the gasoline) How much will they save if they will choose the first option rather than the second one? (the first option will costs them $50 + $18 = $68. Therefore, they can save $90 - $68 = $22 if they choose the first option)
A: Leila and her friends will travel a total distance of 150 x 2 = 300 kilometers back-and-forth. They will need 300 / 15 = 20 liters of gasoline for this trip. So, they will pay $0.90 x 20 = $18 for the gasoline. Thus, the first option will costs them $50 + $18 = $68. Therefore, they can save $90 - $68 = $22 if they choose the first option. So the answer is 22	A: The answer is 22
Q: Daniel has a collection of 346 video games. 80 of them, Daniel bought for $12 each. Of the rest, 50% were bought for $7. All others had a price of $3 each. How much did Daniel spend on all the games in his collection?	Q: Daniel has a collection of 346 video games. 80 of them, Daniel bought for $12 each. (that means he spent 80 games * $12/game = $960 in total) Of the rest, (the rest is 346 games - 80 games = 266 games) 50% were bought for $7. (that means 50/100 * 266 games = 133 games bought for $7 each. So he had to spend 133 games * $7/game = $931. The total so far is $960 + $931 = $1891) All others had a price of $3 each. (there are 133 games remaining and each were bought for $3 each, so they've cost him 133 games * $3/game = $399. The total so far is $1891 + $399 = $2290) How much did Daniel spend on all the games in his collection? (he spent $2290 for games in total)
A: On 80 games, Daniel spend 80 games * $12/game = $960. The rest of the collection is 346 games - 80 games = 266 games. 50% of these games mean 50 / 100 * 266 games = 133 games. Daniel bought them for $7 each, so he had to spend 133 games * $7/game = $931 on them. The other 133 games were bought for $3 each, so they've cost him 133 games * $3/game = $399. On all games in total Daniel spent $960 + $931 + $399 = $2290. So the answer is 2290	A: The answer is 2290