Problem: A number game starts with the number 13. To reach the number 14, a certain number must be added. What is that number?

CodeLlama 34B:

  The number that must be added to 13 to reach 14 is 1.

13 + 1 = 14

Expected answer: 1

Correct? Yes

Problem: A car rental company had a total of 17 cars available in the morning. By the end of the day, they only had 4 cars left. How many cars were rented out during the day?

CodeLlama 34B:

  Reasoning: The car rental company had 17 cars available in the morning and 4 cars left by the end of the day. To find out how many cars were rented out during the day, we need to subtract the number of cars left from the total number of cars available.

17 - 4 = <<17-4=13>>13 cars were rented out during the day.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A butterfly collector managed to catch 13 beautiful butterflies one morning. If at the end of the day there are only 6 butterflies in his collection, how many butterflies flew away during the day?

CodeLlama 34B:

  Let's say the butterfly collector caught 13 butterflies in the morning.
At the end of the day, he has 6 butterflies left in his collection.
So, the number of butterflies that flew away during the day is:
13 - 6 = 7
Therefore, 7 butterflies flew away during the day.

Expected answer: 7

Correct? Yes

Problem: After a birthday party, you see one piece of cake left. If you originally had a whole cake that was cut into h slices, and each slice was equal in size, then how many slices were there in the whole cake, given that 12 pieces have been eaten during the party?

CodeLlama 34B:

  If the cake was cut into equal sized pieces, and there is one piece left after the party, then the number of slices in the whole cake must have been a multiple of 12.

Let's assume that the cake was cut into x slices. Since each slice is equal in size, there must be x/12 pieces in each slice.

After the party, 12 pieces have been eaten, so there are x - 12 pieces left. Since each piece is equal to 1/12 of the cake, there are (x - 12)/12 slices left.

Since there is one piece left, we can set up the equation:

(x - 12)/12 = 1

Solving for x, we get:

x = 12 \* 12 = 144

Therefore, there were 144 slices in the whole cake.

Expected answer: 13

Correct? No

Problem: Anne has a collection of socks. She bought 15 new pairs and now she has a total of 20 pairs of socks. How many pairs did she originally have?

CodeLlama 34B:

  Let's say Anne originally had x pairs of socks.

We know that she bought 15 new pairs, so now she has a total of 20 pairs of socks.

We can set up an equation based on this information:

x + 15 = 20

To solve for x, we can subtract 15 from both sides of the equation:

x = 20 - 15

x = 5

So, Anne originally had 5 pairs of socks.

Expected answer: 5

Correct? Yes

Problem: A party decorator started with 8 helium balloons. After several accidents, only 1 balloon remained uninflated. How many balloons did the decorator accidentally inflate?

CodeLlama 34B:

  The party decorator accidentally inflated 8 - 1 = 7 balloons.

Expected answer: 7

Correct? Yes

Problem: Jane started with 4 pencils. By the end of the day, she had 5 pencils. How many pencils did she find during the day?

CodeLlama 34B:

  Let's start by using the information we know to write an equation.

Jane started with 4 pencils and ended with 5 pencils. This means that she found 5 - 4 = 1 pencil during the day.

So, Jane found 1 pencil during the day.

Expected answer: 1

Correct? Yes

Problem: Oliver the dog has collected a total of 'o' bones in his backyard. If he would give 19 of these bones to his friend, he would be left with only 1 bone. How many bones did Oliver originally have in his backyard?

CodeLlama 34B:

  Let's start by using the information that Oliver has 1 bone left after giving 19 bones to his friend. We can write an equation based on this:

o - 19 = 1

Where o is the total number of bones Oliver had in his backyard.

Now, we can solve for o by adding 19 to both sides of the equation:

o = 1 + 19

o = 20

So, Oliver originally had 20 bones in his backyard.

Expected answer: 20

Correct? Yes

Problem: A superhero has a base super strength level of 1. However, when our superhero dons their super strength amulet, their strength level enhances to a total of 12 units. How many extra strength units does the super strength amulet provide?

CodeLlama 34B:

  To find the number of extra strength units provided by the super strength amulet, we need to subtract the base strength level from the total strength level with the amulet.

Base strength level: 1
Total strength level with amulet: 12

Extra strength units provided by the amulet: 12 - 1 = 11

Therefore, the super strength amulet provides 11 extra strength units.

Expected answer: 11

Correct? Yes

Problem: A train station has 17 trains scheduled for departure in a day. By late evening, only 15 are left to depart. How many trains have already departed during the day?

CodeLlama 34B:

  Let's say the number of trains that have already departed is x.

We know that the total number of trains scheduled for departure is 17.

We also know that by late evening, only 15 are left to depart.

So, we can set up the equation:

17 - x = 15

Solving for x, we get:

x = 2

Therefore, 2 trains have already departed during the day.

Expected answer: 2

Correct? Yes

Problem: A pencil factory had 11 pencils ready in the morning. By the end of the day, they had a total of 16 pencils after making a few more. How many more pencils did the factory make during the day?

CodeLlama 34B:

  Let's start by using the information we know to create an equation.

Let x be the number of pencils the factory made during the day.

We know that the factory had 11 pencils ready in the morning and ended the day with a total of 16 pencils. This means that the factory made x pencils during the day.

We can write this as:

11 + x = 16

To solve for x, we can subtract 11 from both sides of the equation:

x = 16 - 11

x = 5

So, the factory made 5 pencils during the day.

Expected answer: 5

Correct? Yes

Problem: The lifeguard started the day with a certain number of towels, but after handing some out, he only had 10 remaining. If he originally had 9 more than the remaining amount, how many towels did the lifeguard start with?

CodeLlama 34B:

  Let's call the number of towels the lifeguard started with "x".

We know that the lifeguard had 9 more towels than the remaining amount, so we can write an equation based on that:

x - 10 = 9

Simplifying the equation:

x = 19

So, the lifeguard started the day with 19 towels.

Expected answer: 19

Correct? Yes

Problem: There were originally 14 candy bars in the candy jar. After a few hours, there are only 10 candy bars left. How many candy bars were taken?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of candy bars that were taken.

We know that the total number of candy bars in the jar was 14, and now there are only 10 left. So, the number of candy bars that were taken is 14 - 10 = x.

Plugging in the values, we get:

x = 14 - 10
x = 4

Therefore, 4 candy bars were taken from the jar.

Expected answer: 4

Correct? Yes

Problem: In a park, there were originally 19 swings. After some use, there were only 14 swings left undamaged. How many swings were damaged?

CodeLlama 34B:

  Let's use a Venn diagram to represent the situation.

Let A represent the set of all swings in the park.
Let B represent the set of all undamaged swings.
Let C represent the set of all damaged swings.

We know that |A| = 19, |B| = 14, and |C| = ?

We can draw a Venn diagram to represent the situation:

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}
B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
C = {15, 16, 17, 18, 19}

We can see that |C| = 5, which means there were 5 damaged swings.

Therefore, the answer is 5.

Expected answer: 5

Correct? Yes

Problem: A bottle manufacturing factory had already produced 5 bottles this morning, but their daily goal was to produce 12 bottles. How many more bottles need to be produced to reach the goal?

CodeLlama 34B:

  To find out how many more bottles need to be produced to reach the goal, we need to subtract the number of bottles already produced from the daily goal.

12 - 5 = 7

So, 7 more bottles need to be produced to reach the goal.

Expected answer: 7

Correct? Yes

Problem: Samantha has 13 green crayons. In total, she has 15 crayons. How many of her crayons are not green?

CodeLlama 34B:

  Let's use a Venn diagram to represent the situation.

Let G be the set of green crayons and NG be the set of non-green crayons.

We know that G ∩ NG = ∅, since green and non-green crayons are mutually exclusive.

We also know that G ∪ NG = 13, since Samantha has 13 crayons in total.

Using the Inclusion-Exclusion Principle, we can write:

|G| + |NG| = |G ∪ NG|

Substituting the values we know, we get:

13 + |NG| = 13

|NG| = 2

So, Samantha has 2 non-green crayons.

Expected answer: 2

Correct? Yes

Problem: A photography store starts the day with 9 digital cameras in stock. By the end of the day, they have 14 digital cameras in the store after receiving new stock. How many new digital cameras did they receive?

CodeLlama 34B:

  Let's use a number line to represent the number of digital cameras in the store at the beginning and end of the day.

At the beginning of the day, there are 9 digital cameras in the store. We can represent this on a number line as follows:

9

As the day goes on, the store receives new stock, bringing the total number of digital cameras in the store to 14. We can represent this on a number line as follows:

14

To find out how many new digital cameras the store received, we need to find the difference between the number of digital cameras at the beginning of the day (9) and the number of digital cameras at the end of the day (14). We can do this by subtracting 9 from 14:

14 - 9 = 5

Therefore, the store received 5 new digital cameras.

Expected answer: 5

Correct? Yes

Problem: A camper has 4 sleeping bags in their tent. Later on, they find 11 sleeping bags in total after their friends drop off their bags. How many sleeping bags did the camper's friends bring?

CodeLlama 34B:

  Let's use a Venn diagram to solve this problem.

Let A be the set of sleeping bags that the camper has in their tent.
Let B be the set of sleeping bags that the camper's friends bring.
Let C be the set of all sleeping bags that the camper and their friends have.

We know that A has 4 sleeping bags, so |A| = 4.
We also know that B has 11 sleeping bags, so |B| = 11.

We want to find |C|, which is the number of sleeping bags that the camper and their friends have in total.

We can use the Inclusion-Exclusion Principle to find |C|.

|C| = |A ∪ B| = |A| + |B| - |A ∩ B|

We know that |A| = 4 and |B| = 11, so we can substitute these values into the equation:

|C| = |A ∪ B| = 4 + 11 - |A ∩ B|

We know that |A ∩ B| = 0, because the camper and their friends do not share any sleeping bags.

So, |C| = |A ∪ B| = 4 + 11 - 0 = 15

Therefore, the camper's friends brought 11 - 4 = 7 sleeping bags.

Expected answer: 7

Correct? Yes

Problem: A crazy cat lady had 7 cats. After adopting a number of stray cats, her total number of cats increased to 20. How many stray cats did she adopt?

CodeLlama 34B:

  Let's say the number of stray cats she adopted is x.

We know that the total number of cats she has is 7 + x = 20.

So, we can set up the equation:

7 + x = 20

Subtracting 7 from both sides gives us:

x = 13

So, she adopted 13 stray cats.

Expected answer: 13

Correct? Yes

Problem: Bill found 1 pair of binoculars in his drawer. He then realized that his total number of binoculars is 19 pairs when he added the ones he found in the attic. How many binoculars did Bill find in his attic?

CodeLlama 34B:

  Let's start by using the information we know. Bill found 1 pair of binoculars in his drawer, so he has a total of 1 + 1 = 2 pairs of binoculars.

We also know that Bill's total number of binoculars is 19 pairs when he added the ones he found in the attic. So, the number of binoculars he found in the attic is 19 - 2 = 17 pairs.

Therefore, Bill found 17 pairs of binoculars in his attic.

Expected answer: 18

Correct? No

Problem: In a wildlife sanctuary, at the start of the day, there were 14 elephants hanging around the water hole. By afternoon, the number of elephants increased to 16. How many new elephants arrived at the water hole?

CodeLlama 34B:

  Let's use "E" to represent the number of elephants.

At the start of the day, there were 14 elephants (E) hanging around the water hole.

By afternoon, the number of elephants increased to 16 (E + x), where x is the number of new elephants that arrived.

We can set up the following equation:

E + x = 16

Subtracting E from both sides gives us:

x = 16 - E

Since there were 14 elephants at the start of the day, we can substitute E = 14 into the equation:

x = 16 - 14

x = 2

So, 2 new elephants arrived at the water hole.

Expected answer: 2

Correct? Yes

Problem: A mountain climber starts at a point that is m feet high. After climbing downwards for a while, they reach a point that's 10 feet high. If they had climbed down 4 feet to reach this point, how high was the point where they started?

CodeLlama 34B:

  Let's call the height of the starting point "x" feet.

We know that the climber climbed down 4 feet to reach the point that's 10 feet high, so the height of that point is x - 4 feet.

We also know that the climber started at a point that is m feet high, so the height of the starting point is m feet.

We can set up an equation based on this information:

x - 4 = m

To solve for x, we can add 4 to both sides of the equation:

x = m + 4

So, the height of the starting point is m + 4 feet.

Expected answer: 14

Correct? No

Problem: The color palette had a total of 12 color options. If 6 of those colors were warm colors, how many were cool colors?

CodeLlama 34B:

  If 6 of the 12 colors in the palette were warm colors, then the number of cool colors would be 12 - 6 = <<12-6=6>>6.

Therefore, there were 6 cool colors in the palette.

Expected answer: 6

Correct? Yes

Problem: A pirate had 8 shiny gold coins in his treasure chest in the morning. By sunset, he had a total of 14 shiny gold coins in his chest. How many shiny gold coins did the pirate find during the day?

CodeLlama 34B:

  Let's use "P" to represent the number of shiny gold coins the pirate found during the day.

We know that the pirate had 8 shiny gold coins in the morning and 14 shiny gold coins by sunset. So, the equation to represent this information is:

8 + P = 14

To solve for "P", we can subtract 8 from both sides of the equation:

P = 14 - 8

P = 6

Therefore, the pirate found 6 shiny gold coins during the day.

Expected answer: 6

Correct? Yes

Problem: A turtle starts with 8 pieces of lettuce. After eating some more lettuce, it ends up with a total of 19 pieces of lettuce. How many pieces of lettuce does the turtle eat?

CodeLlama 34B:

  Let's call the number of pieces of lettuce that the turtle eats "x".

We know that the turtle starts with 8 pieces of lettuce and ends up with 19 pieces of lettuce. This means that the turtle ate x - 8 = 19 - 8 = <<19-8=11>>11 pieces of lettuce.

So, the turtle ate 11 pieces of lettuce.

Expected answer: 11

Correct? Yes

Problem: A river was flowing at a speed of 6 km/hr by late morning. In the early morning, its speed was 4 km/hr less. What was the speed of the river in the early morning?

CodeLlama 34B:

  Let's say the speed of the river in the early morning was x km/hr.

We know that the speed of the river by late morning was 6 km/hr, and it was 4 km/hr less in the early morning, so the speed of the river in the early morning was x - 4 km/hr.

We can set up an equation based on this information:

x - 4 = 6

To solve for x, we can add 4 to both sides of the equation:

x = 6 + 4

x = 10

So, the speed of the river in the early morning was 10 km/hr.

Expected answer: 2

Correct? No

Problem: In a children's alphabet game, there were initially 6 letter blocks. After a while, only 1 letter block remained on the game station. How many letter blocks were removed from the game station?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let's say the initial number of letter blocks is x. After a while, only 1 letter block remained on the game station. So, we can write an equation:

x - y = 1

where y is the number of letter blocks that were removed from the game station.

We know that x = 6, because there were initially 6 letter blocks. So, we can substitute x = 6 into the equation:

6 - y = 1

To solve for y, we can add y to both sides of the equation:

6 - y + y = 1 + y

This simplifies to:

6 = 1 + y

Subtracting 1 from both sides gives us:

5 = y

So, 5 letter blocks were removed from the game station.

### Answer: 5

Expected answer: 5

Correct? Yes

Problem: At a party, 3 people decided to leave early. After their departure, 15 people remained at the party. How many people were originally at the party before anyone left?

CodeLlama 34B:

  Let's call the number of people who were originally at the party "x".

We know that 3 people left early, so the number of people remaining at the party after they left is x - 3.

We also know that 15 people remained at the party after the first 3 people left. So, the number of people remaining at the party after the first 3 people left is x - 3 + 15.

We can simplify this expression by combining the like terms: x - 3 + 15 = x + 12.

So, the number of people who were originally at the party before anyone left is x + 12.

Expected answer: 18

Correct? No

Problem: Lucy has 9 letters in her mailbox initially. By the end of the day, she receives some more letters and the total number of letters in the mailbox is 19. How many letters does Lucy receive during the day?

CodeLlama 34B:

  Let's use "L" to represent the number of letters in Lucy's mailbox initially.

We know that L = 9.

At the end of the day, the total number of letters in the mailbox is 19.

So, we can write an equation based on this information:

L + x = 19

where x is the number of letters Lucy receives during the day.

We can solve for x by subtracting L from both sides of the equation:

x = 19 - L
= 19 - 9
= 10

Therefore, Lucy receives 10 letters during the day.

Expected answer: 10

Correct? Yes

Problem: In the food pantry, there were originally 17 cans of beans. Over the course of the day, some cans were distributed to people, and at the end of the day, there were 13 cans left. How many cans of beans were distributed that day?

CodeLlama 34B:

  Let's use a system of linear equations to solve this problem.

Let x be the number of cans of beans that were distributed.

We know that at the beginning of the day, there were 17 cans of beans in the pantry.

We also know that at the end of the day, there were 13 cans of beans left.

So, we can write the first equation:

17 - x = 13

Simplifying this equation, we get:

x = 4

So, 4 cans of beans were distributed that day.

Expected answer: 4

Correct? Yes

Problem: A sock store started their day with 3 pairs of red socks. During the day, they decided to add more of the same socks following a new shipment. By the end of the day, they had 15 pairs of red socks. How many pairs of red socks did they add to their inventory?

CodeLlama 34B:

  Let's use a number line to represent the number of pairs of red socks the sock store had at the beginning of the day and at the end of the day.

At the beginning of the day, the sock store had 3 pairs of red socks, which we can represent as 3.

At the end of the day, the sock store had 15 pairs of red socks, which we can represent as 15.

To find out how many pairs of red socks the sock store added to their inventory, we can subtract the number of pairs they had at the beginning of the day from the number of pairs they had at the end of the day.

15 - 3 = 12

So, the sock store added 12 pairs of red socks to their inventory.

Expected answer: 12

Correct? Yes

Problem: A farmer has 9 apple trees in his orchard already. Later, he decides to plant a number of new apple trees. After the planting, the total number of apple trees he has is 18. How many new apple trees did he plant?

CodeLlama 34B:

  Let's use "N" to represent the number of new apple trees the farmer planted.

We know that the total number of apple trees the farmer has after planting the new trees is 18.

So, we can write an equation based on this information:

9 + N = 18

To solve for "N", we can subtract 9 from both sides of the equation:

N = 18 - 9

N = 9

Therefore, the farmer planted 9 new apple trees.

Expected answer: 9

Correct? Yes

Problem: A stationery store displayed 3 pens at the start of the day. By the end of the day, they had 8 pens on the display. How many pens did they add to the display during the day?

CodeLlama 34B:

  Let's use a Venn diagram to represent the pens at the start and end of the day.

At the start of the day, the store had 3 pens on display. We can represent this with a circle labeled "Start" that contains 3 dots, one for each pen.

At the end of the day, the store had 8 pens on display. We can represent this with a circle labeled "End" that contains 8 dots, one for each pen.

To find out how many pens the store added to the display during the day, we can compare the two circles. We can see that the store added 5 pens to the display during the day, because there are 5 dots in the "End" circle that are not in the "Start" circle.

So, the answer is 5 pens.

Expected answer: 5

Correct? Yes

Problem: A marine biologist counts that there are 8 sharks currently swimming around the deep sea observatory. If the observatory initially had 7 sharks, how many new sharks arrived?

CodeLlama 34B:

  Let's use a Venn diagram to represent the situation:

Initially, the observatory had 7 sharks, represented by the circle on the left.

After some time, the marine biologist counted 8 sharks, represented by the circle on the right.

To find out how many new sharks arrived, we need to find the difference between the two numbers. In this case, the difference is 8 - 7 = 1.

So, 1 new shark arrived at the observatory.

Expected answer: 1

Correct? Yes

Problem: A kid's slide has 5 steps. By adding some more steps, the total becomes 8. How many steps were added to the slide?

CodeLlama 34B:

  Let's use a number line to represent the steps on the slide.

Initially, the slide has 5 steps, which we can represent as 5 dots on the number line:

1 2 3 4 5

If 3 more steps are added to the slide, the total number of steps becomes 8. We can represent this as 8 dots on the number line:

1 2 3 4 5 6 7 8

To find the number of steps that were added to the slide, we need to find the difference between the total number of steps (8) and the initial number of steps (5). This difference is 3, which means that 3 more steps were added to the slide.

Therefore, the answer is 3.

Expected answer: 3

Correct? Yes

Problem: Chris has a collection of skateboards. After giving away 4 of his skateboards to friends, he ends up with 8 skateboards left. How many skateboards did Chris have at the beginning?

CodeLlama 34B:

  Let's use a mathematical equation to represent the situation:

Let x be the number of skateboards Chris had at the beginning.

After giving away 4 skateboards, Chris has x - 4 = 8 skateboards left.

So, we can set up the equation:

x - 4 = 8

To solve for x, we can add 4 to both sides of the equation:

x = 8 + 4

x = 12

Therefore, Chris had 12 skateboards at the beginning.

Expected answer: 12

Correct? Yes

Problem: A pirate ship had a certain number of cannons. After a rough sea battle, it was left with 6 cannons. If the ship lost 5 cannons during the fight, how many cannons did it have before the battle?

CodeLlama 34B:

  Let's call the number of cannons the ship had before the battle "x".

We know that the ship had x cannons before the battle and lost 5 cannons during the fight. So, the number of cannons the ship had after the battle is x - 5.

We are also given that the ship had 6 cannons after the battle. So, we can set up the equation:

x - 5 = 6

To solve for x, we can add 5 to both sides of the equation:

x = 6 + 5

x = 11

So, the ship had 11 cannons before the battle.

Expected answer: 11

Correct? Yes

Problem: A police department started the day with 16 patrol cars. As the day went on, some patrol cars were sent out on various assignments. By the afternoon, there were only 10 patrol cars left at the station. How many patrol cars were sent out on assignments?

CodeLlama 34B:

  Let's say x is the number of patrol cars sent out on assignments.

We know that the total number of patrol cars at the beginning of the day was 16.

We also know that at the end of the day, there were only 10 patrol cars left at the station.

So, the number of patrol cars sent out on assignments is 16 - 10 = 6.

Therefore, the answer is 6 patrol cars were sent out on assignments.

Expected answer: 6

Correct? Yes

Problem: Initially, there were 12 pillows in a store. By the end of the day, there were only 6 pillows left. How many pillows were sold during the day?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of pillows sold during the day.

At the beginning of the day, there were 12 pillows in the store.
At the end of the day, there were 6 pillows left.

We can write an equation based on this information:

12 - x = 6

To solve for x, we can add 6 to both sides of the equation:

12 - x + 6 = 6 + 6

This simplifies to:

12 - x = 12

Subtracting 12 from both sides gives us:

-x = -12

x = 12

So, 12 pillows were sold during the day.

### Answer: 12

Expected answer: 6

Correct? No

Problem: Billy began packing for a camping trip. He already had 4 items in his backpack. By the time he stopped packing, there were 10 items total in his backpack. How many additional items did Billy add to his backpack?

CodeLlama 34B:

  Let's use a number line to represent the items in Billy's backpack.

At first, there were 4 items in his backpack:

4

As Billy continued packing, he added more items to his backpack. Let's assume he added 6 more items:

4 + 6 = 10

So, Billy added 6 additional items to his backpack.

### Answer: 6

Expected answer: 6

Correct? Yes

Problem: A jungle gym has 8 swings installed. Later in the day, more swings were added and the total number of swings became 20. How many more swings were added to the jungle gym?

CodeLlama 34B:

  Let's use a number line to represent the number of swings on the jungle gym.

At first, there were 8 swings:

8

Later in the day, more swings were added, so the total number of swings became 20. We can represent this on the number line as follows:

8 12 16 20

To find out how many more swings were added, we can subtract the original number of swings (8) from the new total number of swings (20):

20 - 8 = 12

So, 12 more swings were added to the jungle gym.

Expected answer: 12

Correct? Yes

Problem: In a wind energy farm, there are 15 wind turbines already operational. The total number of wind turbines in the farm is 17. How many more wind turbines were constructed and added to the farm?

CodeLlama 34B:

  Let's use "x" to represent the number of wind turbines that were constructed and added to the farm.

We know that the total number of wind turbines in the farm is 17, and we know that 15 of them were already operational. So, the number of wind turbines that were added to the farm is:

17 - 15 = x

x = 2

Therefore, 2 more wind turbines were constructed and added to the farm.

Expected answer: 2

Correct? Yes

Problem: James owns a juice bar where he had 18 bottles of apple juice. After restocking, he counts a total of 20 bottles. How many bottles of apple juice did he add to the stock?

CodeLlama 34B:

  To find out how many bottles of apple juice James added to the stock, we need to subtract the original number of bottles from the new total.

Let's use a equation to represent this:

New total - Original number = Number added

20 - 18 = 2

So, James added 2 bottles of apple juice to the stock.

Expected answer: 2

Correct? Yes

Problem: John started his guitar lessons with a collection of certain number of guitar picks. After playing for a while, he noticed that he has only 6 picks left, having lost 1. How many guitar picks did John originally start with?

CodeLlama 34B:

  Let's call the number of picks John started with "x".

We know that John started with a certain number of picks, and after playing for a while, he had 6 picks left. This means that he lost (x - 6) picks.

We also know that John lost 1 pick. So, the total number of picks he lost is (x - 6) + 1 = x - 5.

Since John started with x picks and lost x - 5 picks, he has x - (x - 5) = 5 picks left.

Therefore, the number of picks John started with is 5 + 6 = 11.

### Answer: 11

Expected answer: 7

Correct? No

Problem: A florist starts their day with 7 daisies in their display. During the day they add some more daisies and by the end of the day, the total count of daisies is 9. How many daisies did they add during the day?

CodeLlama 34B:

  Let's use a number line to represent the daisies. At the beginning of the day, the florist has 7 daisies:

7

During the day, the florist adds some more daisies. Let's assume they add x daisies, where x is a positive integer. After adding the extra daisies, the total number of daisies is 9. So, we can write an equation to represent this:

7 + x = 9

To find the value of x, we can solve the equation:

7 + x = 9

Subtract 7 from both sides:

x = 9 - 7

x = 2

So, the florist added 2 daisies during the day.

Expected answer: 2

Correct? Yes

Problem: A firefighter hears a total of 6 alarms in one day. If he had heard 4 alarms before lunch, how many alarms did he hear after lunch?

CodeLlama 34B:

  Let's use "L" to represent the number of alarms the firefighter heard before lunch and "A" to represent the number of alarms he heard after lunch.

We know that the total number of alarms the firefighter heard in one day is 6.

We also know that the firefighter heard 4 alarms before lunch, so we can write an equation:

L + A = 6

We are asked to find the value of A, which is the number of alarms the firefighter heard after lunch.

To do this, we can subtract L from both sides of the equation:

A = 6 - L

We know that L is equal to 4, so we can substitute this value into the equation:

A = 6 - 4

A = 2

Therefore, the firefighter heard 2 alarms after lunch.

Expected answer: 2

Correct? Yes

Problem: A crazy cat lady starts the day with 18 cats in her living room. After letting some of them go outside to play, only 17 cats remain in the living room. How many cats went outside to play?

CodeLlama 34B:

  Let's use a Venn diagram to represent the cats in the living room before and after they went outside to play.

Before:

* 18 cats in the living room

After:

* 17 cats in the living room
* 1 cat went outside to play

So, 1 cat went outside to play.

Expected answer: 1

Correct? Yes

Problem: A small snowman is built using 3 large snowballs. Over time, the snowman grows by an additional number of snowballs and becomes comprised of a total of 4 large snowballs. How many more snowballs were added to the snowman?

CodeLlama 34B:

  Let's start by identifying the information given in the problem:

1. The small snowman is built using 3 large snowballs.
2. The snowman grows by an additional number of snowballs.
3. The snowman becomes comprised of a total of 4 large snowballs.

Now, let's think about how we can use this information to find the answer to the problem. We know that the snowman starts with 3 large snowballs and then grows by an additional number of snowballs. This means that the total number of snowballs the snowman has after it grows is 3 + x, where x is the number of snowballs it grows by.

We also know that the snowman becomes comprised of a total of 4 large snowballs. This means that the total number of snowballs the snowman has after it grows is equal to 4.

So, we can set up the following equation:

3 + x = 4

To solve for x, we can subtract 3 from both sides of the equation:

x = 4 - 3

x = 1

Therefore, the snowman grows by 1 additional snowball.

Expected answer: 1

Correct? Yes

Problem: A fruit seller had 14 oranges in his basket. After some time, he found that he had 16 oranges in total after collecting some from his garden. How many oranges did he collect from his garden?

CodeLlama 34B:

  Let's say the seller collected "x" oranges from his garden.

We know that the total number of oranges he had after collecting from his garden is 16. So, the total number of oranges he had before collecting from his garden is 14.

We can write an equation to represent this:

14 + x = 16

Where "x" is the number of oranges the seller collected from his garden.

Solving for "x", we get:

x = 2

So, the seller collected 2 oranges from his garden.

Expected answer: 2

Correct? Yes

Problem: At the start of an art project, you already have 13 red crayons in your art box. By the end of the day, after adding some more red crayons, you have a total of 16 red crayons. How many red crayons did you add in during the day?

CodeLlama 34B:

  Let's use a number line to represent the number of red crayons you had at the start of the day and the end of the day.

At the start of the day, you had 13 red crayons:

13

After adding some more red crayons, you had a total of 16 red crayons:

16

To find out how many red crayons you added in during the day, we can subtract the number of red crayons you had at the start of the day from the number of red crayons you had at the end of the day:

16 - 13 = 3

So, you added 3 red crayons in during the day.

Expected answer: 3

Correct? Yes

Problem: A puzzle maker had finished creating 11 picture puzzles by the end of last month. This month, he created a few more and now has a total of 20 picture puzzles. How many picture puzzles did the puzzle maker create this month?

CodeLlama 34B:

  Let's start by using the information we know. We know that the puzzle maker had finished creating 11 picture puzzles by the end of last month. This means that he had created 11 picture puzzles in total up to that point.

Now, we know that this month, he created a few more picture puzzles. Let's say he created "x" more picture puzzles this month. We can represent this as:

11 + x = 20

This equation tells us that the total number of picture puzzles the puzzle maker had created by the end of this month (11 + x) is equal to the total number of picture puzzles he has now (20).

To find the value of "x", we can solve the equation. We can do this by subtracting 11 from both sides of the equation:

11 + x = 20

Subtracting 11 from both sides gives us:

x = 9

So, the puzzle maker created 9 more picture puzzles this month.

Expected answer: 9

Correct? Yes

Problem: In a garden, there were originally 11 red roses. But by the end of the week, only 1 red rose was left after some were picked. How many red roses were picked from the garden during the week?

CodeLlama 34B:

  Let's say x is the number of red roses that were picked from the garden during the week.

At the beginning of the week, there were 11 red roses in the garden.

After one day, there were 11 - x red roses left in the garden.

After two days, there were 11 - 2x red roses left in the garden.

After three days, there were 11 - 3x red roses left in the garden.

After four days, there were 11 - 4x red roses left in the garden.

After five days, there were 11 - 5x red roses left in the garden.

After six days, there were 11 - 6x red roses left in the garden.

After seven days, there were 11 - 7x red roses left in the garden.

Since only one red rose was left in the garden at the end of the week, we can set up the following equation:

11 - 7x = 1

Solving for x, we get:

x = 2

So, 2 red roses were picked from the garden during the week.

Expected answer: 10

Correct? No

Problem: A farmer had 16 apples in his basket. After some time, he noticed that there were only 5 apples left in his basket. How many apples were taken from the basket?

CodeLlama 34B:

  The farmer had 16 apples in his basket and then 5 apples were taken from the basket. Therefore, the difference between the number of apples the farmer had and the number of apples that were taken is:

16 - 5 = 11

So, 11 apples were taken from the basket.

Expected answer: 11

Correct? Yes

Problem: An Unidentified Flying Object (UFO) was initially having 5 alien occupants on board. After some universal travels, the UFO had 8 alien occupants. How many extra aliens joined the UFO during its journey?

CodeLlama 34B:

  Let's say the number of alien occupants on the UFO initially was x.

After some universal travels, the UFO had 8 alien occupants.

So, the number of alien occupants on the UFO after some universal travels is x + 3.

We know that the number of alien occupants on the UFO initially was 5.

So, we can set up the equation:

x + 3 = 5

Solving for x, we get:

x = 2

So, there were 2 extra aliens who joined the UFO during its journey.

Expected answer: 3

Correct? No

Problem: A toy store had 13 toy cars at the beginning of the day. By the end of the day, there was only 1 toy car left on the shelf. How many toy cars were sold during the day?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of toy cars sold during the day.

At the beginning of the day, there were 13 toy cars on the shelf.

At the end of the day, there was only 1 toy car left on the shelf.

So, the total number of toy cars sold during the day is equal to the difference between the number of toy cars at the beginning of the day and the number of toy cars at the end of the day:

x = 13 - 1

x = 12

Therefore, 12 toy cars were sold during the day.

Expected answer: 12

Correct? Yes

Problem: A robot factory had 18 fully operational robots at the beginning of the day. But by the end of the day, there were only 16 operational robots left. How many robots stopped functioning during the day?

CodeLlama 34B:

  Let's use "x" to represent the number of robots that stopped functioning during the day.

We know that the total number of robots at the beginning of the day was 18, and the total number of operational robots at the end of the day was 16.

So, we can write an equation based on this information:

18 - x = 16

To solve for "x", we can subtract 18 from both sides of the equation:

-x = -2

To find the positive value of "x", we can divide both sides of the equation by (-1):

x = 2

Therefore, 2 robots stopped functioning during the day.

Expected answer: 2

Correct? Yes

Problem: A circus has a certain number of tigers. After selling 3 of them to a zoo, they have 8 tigers left. How many tigers did the circus have originally?

CodeLlama 34B:

  Let's use "T" to represent the number of tigers the circus had originally.

We know that the circus sold 3 tigers to the zoo, so the number of tigers the circus has left is 8.

We can set up an equation to represent this situation:

T - 3 = 8

Where T is the number of tigers the circus had originally and 3 is the number of tigers the circus sold to the zoo.

Solving for T, we get:

T = 8 + 3
T = 11

So, the circus had 11 tigers originally.

Expected answer: 11

Correct? Yes

Problem: The tiger population in a nature reserve was originally 15. Over time, perilous conditions led to the demise of some of the tigers, leaving only 5 tigers in the reserve. How many tigers were lost?

CodeLlama 34B:

  Let's use "T" to represent the number of tigers in the reserve.

We know that the original number of tigers was 15, so we can write:

T = 15

We also know that the number of tigers lost is equal to the difference between the original number of tigers and the number of tigers that are left. So, we can write:

T - T = 15 - 5

Simplifying this equation, we get:

T = 10

Therefore, 10 tigers were lost.

Expected answer: 10

Correct? Yes

Problem: The Jackson family has 6 jackets to begin with but they purchased some more at a yard sale. If they now have 12 jackets total, how many jackets did they purchase at the yard sale?

CodeLlama 34B:

  Let's use a equation to solve this problem.

Let x be the number of jackets the Jackson family purchased at the yard sale.

The total number of jackets the Jackson family has now is 12.

The number of jackets the Jackson family had before the yard sale is 6.

So, the equation is:

6 + x = 12

To solve for x, we can subtract 6 from both sides of the equation:

x = 12 - 6

x = 6

So, the Jackson family purchased 6 jackets at the yard sale.

Expected answer: 6

Correct? Yes

Problem: A train initially has 16 cars. Part way through its journey, it detaches some cars and continues on with only 8 cars. How many train cars were detached during the journey?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of cars detached during the journey.

We know that the train initially had 16 cars and after detaching some cars, it had 8 cars left. So, we can write an equation based on this information:

16 - x = 8

To solve for x, we can add x to both sides of the equation:

16 = 8 + x

Subtracting 8 from both sides gives us:

8 = x

So, 8 cars were detached during the journey.

### Answer: 8

Expected answer: 8

Correct? Yes

Problem: A jewelry store has 1 bracelet in stock. Later, the store receives a fresh shipment, and the total number of bracelets increases to 4. How many bracelets were in the new shipment?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of bracelets in the new shipment.

We know that the total number of bracelets after the new shipment is 4, so we can write an equation based on that:

4 = 1 + x

To solve for x, we can subtract 1 from both sides of the equation:

3 = x

So, there were 3 bracelets in the new shipment.

Expected answer: 3

Correct? Yes

Problem: A school bus started its morning route with 14 students on board. After dropping off some students at their respective schools, there were only 7 students left on the bus. How many students were dropped off in the morning?

CodeLlama 34B:

  Let's use a Venn diagram to solve this problem.

Let A be the set of students who were dropped off at their schools, and let B be the set of students who remained on the bus. We know that A ∩ B = 7, since there were 7 students left on the bus after some students were dropped off.

We also know that A ∪ B = 14, since there were 14 students on the bus in the beginning.

Using the Inclusion-Exclusion Principle, we can find the number of students who were dropped off by subtracting the number of students who remained on the bus from the total number of students on the bus:

A ∪ B = 14
A ∩ B = 7

Therefore, the number of students who were dropped off is:

A - B = 14 - 7 = 7

So, 7 students were dropped off in the morning.

Expected answer: 7

Correct? Yes

Problem: A cheese maker produced 9 pounds of swiss cheese one morning. By the end of the day, the total cheese production was 16 pounds. How much more cheese (in pounds) was produced by the end of the day?

CodeLlama 34B:

  Let's start by identifying the information given in the problem:

1. The cheese maker produced 9 pounds of Swiss cheese in the morning.
2. The total cheese production at the end of the day was 16 pounds.

To find out how much more cheese was produced by the end of the day, we need to subtract the amount of cheese produced in the morning from the total amount of cheese produced at the end of the day.

16 pounds - 9 pounds = 7 pounds

Therefore, the cheese maker produced 7 pounds more cheese by the end of the day.

Expected answer: 7

Correct? Yes

Problem: Sarah counted her pillows and found out that she has a total of 6 pillows. If she recalls correctly, 4 of them are stuffed with feathers and the rest are stuffed with foam. How many of her pillows are stuffed with foam?

CodeLlama 34B:

  Let's use a Venn diagram to represent the information given in the problem.

Let A represent the set of all pillows that are stuffed with feathers, and let B represent the set of all pillows that are stuffed with foam.

We know that 4 pillows are stuffed with feathers, so A has 4 elements. We also know that the total number of pillows is 6, so the universal set (or the set of all pillows) has 6 elements.

Using the information-gathering formula, we can write:

|A| = 4
|B| = ?
|A ∩ B| = 0
|A ∪ B| = 6

We know that A and B are disjoint sets, so the intersection of A and B is empty. Therefore, |A ∩ B| = 0.

We also know that the union of A and B is the universal set, so |A ∪ B| = 6.

Now, we can use the formula for the sum of two sets to find the number of pillows that are stuffed with foam:

|B| = |A ∪ B| - |A|
= 6 - 4
= 2

Therefore, there are 2 pillows that are stuffed with foam.

Expected answer: 2

Correct? Yes

Problem: A binoculars maker started with 7 binoculars in the morning. By late afternoon, she had added few more, making a total of 11 binoculars. How many binoculars did she make in the afternoon?

CodeLlama 34B:

  Let's start by identifying the information given in the problem:

* The binoculars maker started with 7 binoculars in the morning.
* By late afternoon, she had added a few more, making a total of 11 binoculars.

We can use this information to set up a simple equation:

11 = 7 + x

Where x represents the number of binoculars the maker added in the afternoon.

To solve for x, we can subtract 7 from both sides of the equation:

4 = x

Therefore, the binoculars maker added 4 binoculars in the afternoon.

Expected answer: 4

Correct? Yes

Problem: In a playground, there are originally 3 balls. As the day progresses, kids bring in some more balls and by the end of day, the total number of balls in the playground is 8. How many balls did kids bring to the playground?

CodeLlama 34B:

  Let's use a system of linear equations to solve this problem.

Let x be the number of balls that kids brought to the playground.

The total number of balls in the playground at the end of the day is 8.

The number of balls that were originally in the playground is 3.

So, the equation for the total number of balls in the playground is:

3 + x = 8

To solve for x, we can subtract 3 from both sides of the equation:

x = 8 - 3

x = 5

Therefore, kids brought 5 balls to the playground.

Expected answer: 5

Correct? Yes

Problem: A fashion designer started with a total of a certain number of blue dresses. After selling 13 of them, there were only 2 left in stock. How many blue dresses did the designer start with?

CodeLlama 34B:

  Let's say the fashion designer started with a total of x blue dresses.

After selling 13 of them, there were only 2 left in stock. So, the number of blue dresses left in stock is:

x - 13 = 2

Simplifying the equation:

x = 15

So, the fashion designer started with 15 blue dresses.

Expected answer: 15

Correct? Yes

Problem: In a party, there were 2 helium balloons floating above a child. Suddenly one of them popped, leaving just 1 balloon. How many balloons popped?

CodeLlama 34B:

  There were 2 helium balloons floating above the child.
One of them popped, leaving just 1 balloon.
So, 1 balloon popped.
### Answer: 1

Expected answer: 1

Correct? Yes

Problem: A pirate has stashed away 4 of his gold coins and now has only 1 left with him. How many gold coins did the pirate originally have before stashing them away?

CodeLlama 34B:

  Let's call the number of gold coins the pirate originally had "x".

We know that the pirate stashed away 4 coins, so the number of coins he has left with him is x - 4.

We also know that the pirate has 1 coin left with him, so we can set up the equation:

x - 4 = 1

To solve for x, we can add 4 to both sides of the equation:

x = 1 + 4

x = 5

So, the pirate originally had 5 gold coins before stashing away 4 of them.

Expected answer: 5

Correct? Yes

Problem: A desk drawer had 6 pens at the beginning of the day. At the end of the day, it acquired a total of 12 pens because some were dropped off in the drawer by office workers. How many pens did office workers drop off in the drawer throughout the day?

CodeLlama 34B:

  Let's use a Venn diagram to represent the situation:

|  | Drawer | Office Workers |
| --- | --- | --- |
| Beginning of Day | 6 | 0 |
| End of Day | 18 | 12 |

From the table, we can see that 12 pens were added to the drawer throughout the day. These pens must have been dropped off by office workers. Therefore, the answer is 12.

Expected answer: 6

Correct? Yes

Problem: A shape enthusiast begins with a collection of 15 different types of shapes. Later, she decides to give some away and is left with 11 types of shapes. How many different types of shapes did she give away?

CodeLlama 34B:

  Let's use a Venn diagram to represent the shapes.

Suppose the 15 different types of shapes are represented by 15 dots in a circle. Each dot represents a different type of shape.

Now, suppose the 11 types of shapes she has left are represented by 11 dots in a circle. Each dot represents a different type of shape.

Since she gave away 4 types of shapes, there are 15 - 11 = 4 dots in the first circle that are not in the second circle. These dots represent the 4 types of shapes she gave away.

Therefore, she gave away 4 types of shapes.

Expected answer: 4

Correct? Yes

Problem: A student has a backpack that initially contains 3 pencils. Later in the day, the student adds some more pencils to the backpack, bringing the total count to 20 pencils. How many additional pencils did the student put in the backpack?

CodeLlama 34B:

  Let's use a number line to represent the initial and final number of pencils in the backpack.

Initially, the backpack contains 3 pencils, which we can represent as:

3

Later in the day, the student adds some more pencils to the backpack, bringing the total count to 20 pencils. We can represent this as:

3 + x = 20

where x is the number of additional pencils the student added.

To find the value of x, we can subtract 3 from both sides of the equation:

x = 20 - 3

x = 17

So, the student added 17 additional pencils to the backpack.

### Answer: 17

Expected answer: 17

Correct? Yes

Problem: A zookeeper has 6 monkeys in one enclosure. Later in the day, some more monkeys are transferred into the enclosure, making a total of 7 monkeys. How many monkeys were transferred?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of monkeys that were transferred.

We know that the total number of monkeys in the enclosure after the transfer is 7. So, we can write an equation based on this information:

7 = 6 + x

Where 6 is the number of monkeys that were already in the enclosure.

To solve for x, we can subtract 6 from both sides of the equation:

7 - 6 = x

This simplifies to:

x = 1

So, 1 monkey was transferred into the enclosure.

Expected answer: 1

Correct? Yes

Problem: You were packing for a camping trip and counted 13 sleeping bags at the start. But when you finished packing, only 1 sleeping bag was left behind. How many sleeping bags did you pack for the trip?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem.

Let x be the number of sleeping bags you packed for the trip.

At the start, you had 13 sleeping bags, so the equation would be:

13 - x = 1

Solving for x, we get:

x = 12

So, you packed 12 sleeping bags for the trip.

Expected answer: 12

Correct? Yes

Problem: A public park starts the day with 9 benches. By afternoon, they install some new ones making the total number of benches 10. How many new benches were installed?

CodeLlama 34B:

  Let's use a number line to represent the number of benches in the park.

At the start of the day, there are 9 benches:

9

As the day progresses, some new benches are installed, making the total number of benches 10. We can represent this on the number line as follows:

9 10

To find the number of new benches installed, we need to find the difference between the two numbers. In this case, the difference is 10 - 9 = 1.

Therefore, 1 new bench was installed in the park.

Expected answer: 1

Correct? Yes

Problem: A mermaid has 9 shimmering scales on her tail. But after a tough underwater race, she realizes that she has lost some, leaving her with just 4 intact scales. How many scales did the mermaid lose during the race?

CodeLlama 34B:

  The mermaid lost 9-4=<<9-4=5>>5 scales during the race.

Expected answer: 5

Correct? Yes

Problem: A band has prepared 8 songs for a live performance. By the end of the concert, they've played 17 songs, due to audience requests and encore performances. How many additional songs did they end up playing?

CodeLlama 34B:

  Let's say the band prepared 8 songs for their live performance.

If they played 17 songs by the end of the concert, that means they played 17 - 8 = <<17-8=9>>9 additional songs.

So, the band ended up playing 9 additional songs.

Expected answer: 9

Correct? Yes

Problem: A hat maker starts a day with a certain number of wool hats in his shop. By noon, he sold 6 of these hats and was left with 9 hats. How many wool hats did he start the day with?

CodeLlama 34B:

  Let's call the number of wool hats the hat maker started the day with "x".

We know that by noon, he sold 6 hats and was left with 9 hats, so we can write an equation based on this information:

x - 6 = 9

To solve for "x", we can add 6 to both sides of the equation:

x = 9 + 6

x = 15

So, the hat maker started the day with 15 wool hats.

Expected answer: 15

Correct? Yes

Problem: A soap shop has 14 soaps in their inventory at the start of the day. By the end of the day, the total inventory counts to 19 soaps after making some more. How many soaps did they make during the day?

CodeLlama 34B:

  Let's use a Venn diagram to represent the situation:

| Soaps at the start of the day | Soaps made during the day |
| --- | --- |
| 14 | x |
| 19 | 14 + x |

We know that the total inventory at the end of the day is 19 soaps, so we can set up the equation:

14 + x = 19

To solve for x, we can subtract 14 from both sides of the equation:

x = 19 - 14

x = 5

So, the soap shop made 5 soaps during the day.

Expected answer: 5

Correct? Yes

Problem: Sylvia starts making soap with 10 bars from her last huge batch. By the end of the day, she ends up with 14 bars of soap by creating a few new ones. How many new bars of soap did Sylvia make?

CodeLlama 34B:

  To find out how many new bars of soap Sylvia made, we need to subtract the number of bars she started with from the number of bars she ended up with.

Number of bars started with: 10
Number of bars ended up with: 14

Subtracting the number of bars started with from the number of bars ended up with gives us the number of new bars made:

14 - 10 = 4

Therefore, Sylvia made 4 new bars of soap.

Expected answer: 4

Correct? Yes

Problem: A rope factory starts the day producing a rope of 13 meters long. By the end of the day, another rope, combined with the first one, makes up a total of 19 meters of rope. How long is the second rope they produced?

CodeLlama 34B:

  Let's call the length of the second rope "x" meters.

We know that the total length of the two ropes together is 19 meters, so we can write an equation based on that:

13 + x = 19

Simplifying the equation:

x = 6

So the second rope they produced is 6 meters long.

Expected answer: 6

Correct? Yes

Problem: There were 2 beach balls scattered around the beach early in the morning. As the day progressed, there were 12 beach balls all over the beach. How many beach balls did the beach visitors bring with them?

CodeLlama 34B:

  Let's call the number of beach visitors x.

We know that at the beginning of the day, there were 2 beach balls on the beach. If each visitor brought a beach ball, then there would be 2x beach balls on the beach.

As the day progressed, there were 12 beach balls on the beach. This means that 2x + 2 = 12, or x = 5.

So, there were 5 beach visitors who brought beach balls with them.

Expected answer: 10

Correct? No

Problem: A group of friends on a camping trip only had 1 piece of firewood left early in the night. By the end of the night, they managed to find and collect 10 pieces of firewood altogether. How many extra pieces of firewood did they find that night?

CodeLlama 34B:

  Let's say the group of friends started with x pieces of firewood.

At the end of the night, they had 10 pieces of firewood altogether. So, the total number of pieces of firewood they found that night is 10 - x.

We know that at the beginning of the night, they only had 1 piece of firewood, so x = 1.

Therefore, the total number of pieces of firewood they found that night is 10 - 1 = 9.

So, they found 9 extra pieces of firewood that night.

Expected answer: 9

Correct? Yes

Problem: You have a music store with 18 guitars in stock. During the day, a customer comes and buys a number of guitars. By the end of the day, you count and find that you have 16 guitars left. How many guitars did the customer buy?

CodeLlama 34B:

  Let's say the customer bought x guitars.

We know that the total number of guitars the customer bought is equal to the number of guitars you had in stock minus the number of guitars you have left. So, we can set up the following equation:

x + 18 = 16

Solving for x, we get:

x = 18 - 16
x = 2

Therefore, the customer bought 2 guitars.

Expected answer: 2

Correct? Yes

Problem: A bike shop has 4 mountain bikes on hand at the beginning of the day. By the end of the day, they have a total of 14 mountain bikes, as some new shipments have arrived. How many new mountain bikes were shipped to the shop today?

CodeLlama 34B:

  Let's use "M" to represent the number of new mountain bikes that were shipped to the shop today.

We know that the shop had 4 mountain bikes at the beginning of the day and 14 at the end of the day. So, the total number of mountain bikes that the shop had today is 4 + M = 14.

Solving for M, we get:

M = 14 - 4
M = 10

So, 10 new mountain bikes were shipped to the shop today.

Expected answer: 10

Correct? Yes

Problem: A child starts with 2 blue colored pencils, and then a classmate gives them some more. In the end, they have 3 blue colored pencils. How many colored pencils did their classmate give them?

CodeLlama 34B:

  Let's use a number line to represent the number of blue colored pencils the child has.

At first, the child has 2 blue colored pencils, which we can represent as 2.

Then, their classmate gives them some more blue colored pencils, so the child now has 3 blue colored pencils. We can represent this as 3.

So, the difference between the number of blue colored pencils the child has at the beginning and the end is 3 - 2 = 1.

Therefore, the child's classmate gave them 1 blue colored pencil.

Expected answer: 1

Correct? Yes

Problem: The campsite initially had 15 tents. By the end of the day, 19 tents were pitched in total. How many more tents were set up during the day?

CodeLlama 34B:

  Let's use a Venn diagram to represent the tents that were set up during the day.

Let A represent the 15 tents that were already set up at the campsite, and let B represent the 19 tents that were set up during the day.

We know that A ∩ B represents the tents that were already set up at the campsite and were also set up during the day. Since we are only interested in the tents that were set up during the day, we can subtract A ∩ B from B to get the number of tents that were set up during the day.

So, the number of tents that were set up during the day is B - A ∩ B = 19 - 15 = 4.

Therefore, 4 more tents were set up during the day.

Expected answer: 4

Correct? Yes

Problem: A pirate found 7 gold coins in one of the treasure chests. By the end of his looting, he had a total of 16 gold coins. How many gold coins were in the other treasure chests he looted?

CodeLlama 34B:

  Let's say the pirate found x gold coins in the other treasure chests he looted.

We know that the total number of gold coins he found is 16, so we can set up the equation:

7 + x = 16

To solve for x, we can subtract 7 from both sides:

x = 16 - 7

x = 9

So, the pirate found 9 gold coins in the other treasure chests he looted.

Expected answer: 9

Correct? Yes

Problem: You start with 12 dollars in your wallet. By the end of a shopping trip, you find that you now have 16 dollars left in your wallet after receiving some change. How much money in dollars did you receive as change during the trip?

CodeLlama 34B:

  Let's call the amount of money you received as change "x".

We know that the total amount of money you had at the start of the trip was 12 dollars, and the total amount of money you have left after the trip is 16 dollars. So, the amount of money you spent during the trip is 12 - 16 = -4 dollars.

We also know that the amount of money you received as change is x.

So, we can set up the following equation:

12 - 16 = -4
12 + x = 16

Solving for x, we get:

x = 4

Therefore, you received 4 dollars as change during the shopping trip.

Expected answer: 4

Correct? Yes

Problem: A rope manufacturing task is ongoing. From several short pieces, a worker succeeds in creating a rope that is 17 feet long. If one of these pieces was 11 feet long, how long were the rest of the pieces together?

CodeLlama 34B:

  Let's call the length of the remaining pieces x.

We know that the total length of all the pieces together is 17 feet, so we can write an equation based on that:

11 + x = 17

Subtracting 11 from both sides gives us:

x = 6

So, the length of the remaining pieces together is 6 feet.

Expected answer: 6

Correct? Yes

Problem: An artist had one blue colored pencil in her collection. After adding a pack of new pencils, she now has 13 colored pencils. How many colored pencils were there in the new pack?

CodeLlama 34B:

  Let's say the new pack had x colored pencils.

We know that the total number of colored pencils is 13, so we can write an equation based on that:

13 = 1 + x

We can solve for x by subtracting 1 from both sides:

12 = x

So, there were 12 colored pencils in the new pack.

Expected answer: 12

Correct? Yes

Problem: A musician starts off with 17 guitar strings in his collection. After restringing some guitars, he is left with only 2 strings. How many guitar strings did the musician use?

CodeLlama 34B:

  Let's say the musician used x strings to restring the guitars.

We know that the musician started with 17 guitar strings and ended with 2 strings. So, the total number of strings used is 17 - 2 = 15.

We also know that the musician used x strings to restring the guitars, so we can set up the equation:

17 - 2 = x

Solving for x, we get:

x = 15

So, the musician used 15 strings to restring the guitars.

Expected answer: 15

Correct? Yes

Problem: There are 7 colors visible in a typical rainbow. If you have a special prism that shows a total of 13 colors in the rainbow, how many additional colors are visible through the prism?

CodeLlama 34B:

  If a typical rainbow shows 7 colors, and a special prism shows 13 colors, then the prism shows 13 - 7 = 6 additional colors.

Expected answer: 6

Correct? Yes

Problem: A full grown giraffe typically grows to a height of x meters. But a young giraffe was just 1 meter shorter than a full grown one when it was 3 meters tall. What is the typical height of a fully grown giraffe in meters?

CodeLlama 34B:

  Let's call the typical height of a fully grown giraffe "x" meters.

We know that a young giraffe was 1 meter shorter than a full-grown one when it was 3 meters tall, so we can write an equation based on that:

x - 1 = 3

Simplifying the equation:

x = 4

So, the typical height of a fully grown giraffe is 4 meters.

Expected answer: 4

Correct? Yes

Problem: In a pencil box, there were initially 10 pencils. Later, a student added some more pencils into the box and the total became 14. How many pencils did the student add to the box?

CodeLlama 34B:

  Let's use a number line to represent the initial and final number of pencils in the box.

Initially, there were 10 pencils in the box.

10

Later, a student added some more pencils to the box, and the total became 14.

10 + x = 14

Where x is the number of pencils added by the student.

To find the value of x, we can subtract 10 from both sides of the equation:

x = 14 - 10

x = 4

Therefore, the student added 4 pencils to the box.

Expected answer: 4

Correct? Yes

Problem: A pillow factory has a stock of 14 feather pillows. After a small order is shipped, they have 4 feather pillows left. How many feather pillows were in the shipped order?

CodeLlama 34B:

  Let's use a mathematical equation to solve this problem. Let x be the number of feather pillows in the shipped order.

We know that the total number of feather pillows in the factory before the order was shipped was 14. After the order was shipped, the number of feather pillows left in the factory was 4.

So, we can write an equation based on this information:

14 - x = 4

To solve for x, we can add 14 to both sides of the equation:

14 - x + 14 = 4 + 14

This simplifies to:

28 = 18

Subtracting 18 from both sides gives us:

10 = x

So, there were 10 feather pillows in the shipped order.

Expected answer: 10

Correct? Yes

Problem: A pizzeria has 15 pepperoni pizzas ready to be served. Throughout the day, they bake a number of additional pepperoni pizzas, bringing the total to 16 by the evening. How many additional pepperoni pizzas did they bake throughout the day?

CodeLlama 34B:

  Let's start by using a equation to represent the number of pepperoni pizzas baked throughout the day. Let's call the number of pizzas baked in the morning "x".

x + 15 = 16

We can solve for x by subtracting 15 from both sides of the equation.

x = 1

So, the pizzeria baked 1 additional pepperoni pizza throughout the day.

Expected answer: 1

Correct? Yes

Problem: A band had prepared 11 songs to perform at a concert. However, they only managed to perform 7 songs due to technical problems. How many songs were they not able to perform at the concert?

CodeLlama 34B:

  Let's use a Venn diagram to represent the situation:

Let A represent the set of all 11 songs prepared by the band.
Let B represent the set of all 7 songs performed by the band.
Let C represent the set of all songs not performed by the band due to technical problems.

We know that C is a subset of A, since all songs not performed by the band are a subset of all songs prepared by the band.
We also know that B is a subset of A, since all songs performed by the band are a subset of all songs prepared by the band.

Using the Venn diagram, we can represent the situation as follows:

A = {all 11 songs prepared by the band}
B = {all 7 songs performed by the band}
C = {all songs not performed by the band due to technical problems}

We want to find the number of songs in set C, which is the number of songs not performed by the band due to technical problems.

We can do this by using the formula for the difference of two sets:

C = A - B

Substituting the values we know, we get:

C = {all songs not performed by the band due to technical problems} = {all 11 songs prepared by the band} - {all 7 songs performed by the band}
= 11 - 7
= 4

Therefore, there were 4 songs not performed by the band due to technical problems.

Expected answer: 4

Correct? Yes

Problem: A snowman has a certain number of snowballs stacked to form its shape. If 7 snowballs are removed, only 11 snowballs remain. How many snowballs were used to build the snowman originally?

CodeLlama 34B:

  Let's call the number of snowballs used to build the snowman "x".

We know that 7 snowballs were removed, so the number of snowballs remaining is x - 7.

We are told that 11 snowballs remain, so we can set up the equation:

x - 7 = 11

To solve for x, we can add 7 to both sides of the equation:

x = 11 + 7

x = 18

Therefore, there were 18 snowballs used to build the snowman originally.

Expected answer: 18

Correct? Yes

Problem: In underwater kingdom, there were 10 mermaids at the beginning. After a while, there were 20 mermaids. How many new mermaids joined the kingdom?

CodeLlama 34B:

  Let's say the number of mermaids in the underwater kingdom at the beginning was x.

After a while, there were 20 mermaids. So, the total number of mermaids in the kingdom is x + y, where y is the number of new mermaids that joined the kingdom.

We know that x + y = 20, and x = 10.

So, we can solve for y:

y = 20 - 10
y = 10

Therefore, 10 new mermaids joined the underwater kingdom.

Expected answer: 10

Correct? Yes