Common Core Standard 2.MD.B.5
This standard covers the following:
Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.
Problem: Mrs. Johnson is sewing a large quilt that requires 81 inches of fabric. If she already has 50 inches of fabric, how many more inches does she need to finish the quilt?
Gemma 2B:
Reasoning: To find out how many more inches Mrs. Johnson needs, we need to subtract the amount of fabric she already has from the total amount of fabric needed for the quilt. 50 inches - 81 inches = -31 inches So, Mrs. Johnson needs 31 more inches of fabric to finish the quilt. ### Answer: 31 inches
Expected answer: 31
Correct? Yes
Problem: After completing her quilt, Mrs. Johnson realizes that she would like to add a decorative border around it. This border requires an additional 55 inches of fabric. How many inches of fabric does she need in total, including her initial quilt and the new border?
Gemma 2B:
Reasoning: To find out how many inches of fabric Mrs. Johnson needs in total, we need to add the amount of fabric she already has (50 inches) to the additional fabric needed for the border (55 inches). 50 inches + 55 inches = 105 inches So, Mrs. Johnson needs 105 inches of fabric in total, including her initial quilt and the new border. ### Answer: 105 inches
Expected answer: 86
Correct? No
Problem: In the process of making her quilt, Mrs. Johnson had initially planned to use 81 inches of fabric. However, she found a way to redesign the pattern, and now only needs 73 inches of fabric for the quilt. How much less fabric does she need than originally planned?
Gemma 2B:
Reasoning: To find out how much less fabric Mrs. Johnson needs, we need to subtract the amount of fabric she now needs from the amount she originally planned to use. 81 inches - 73 inches = 8 inches So, Mrs. Johnson needs 8 inches less fabric than originally planned. ### Answer: 8 inches
Expected answer: 8
Correct? Yes
Problem: Fred is building a fence around his garden. He has already put up 44 feet of the fence, but realizes that he needs another 4 feet of fencing to complete it. How many feet of fencing will Fred need in total?
Gemma 2B:
Reasoning: Fred has already put up 44 feet of fence, so he needs 4 feet more to complete it. Therefore, Fred will need a total of 44 + 4 = <<44+4=48>>48 feet of fencing. ### Answer: 48 feet of fence.
Expected answer: 48
Correct? Yes
Problem: Fred originally built his garden fence with a total length of 44 feet. However, after further consideration, he decides to extend the fence by another 25 feet to encompass a larger area of his garden. How many feet of fencing will Fred need in total for this expanded garden?
Gemma 2B:
Reasoning: Fred originally built his garden fence with a total length of 44 feet. He decided to extend the fence by another 25 feet to encompass a larger area of his garden. Therefore, Fred will need a total of 44 + 25 = <<44+25=69>>69 feet of fencing for this expanded garden. ### Answer: 69 feet of fencing.
Expected answer: 69
Correct? Yes
Problem: A builder needs to construct a wall that is 95 meters long. If he already has built 39 meters of it, how many more meters does the builder need to construct to finish the wall?
Gemma 2B:
Reasoning: The builder needs to construct 95 - 39 = <<95-39=56>>56 meters more to finish the wall. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: After the builder finishes the 95-meter wall, he finds an additional construction task requiring a 72-meter wall. If he is going to use the leftover material from the first wall, how many more meters of material does he need to meet the requirement for the new wall?
Gemma 2B:
Reasoning: The builder has 56 meters of leftover material from the first wall. The new wall requires 72 meters of material. The builder needs 72 - 56 = <<72-56=16>>16 meters more of material to meet the requirement for the new wall. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Suppose instead of building a 95-meter wall initially, the builder was tasked to build a 40-meter wall. If he already has built 39 meters of it, how many more meters does he need to build to finish the wall?
Gemma 2B:
Reasoning: The builder needs to construct 40 - 39 = <<40-39=1>>1 meter more to finish the wall. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Mia has 79 meters of string. She gives 68 meters of it to her friend. Later, she buys an additional 19 meters of string. In total, how many meters of string does Mia have now?
Gemma 2B:
Reasoning: Mia has 79 meters of string. She gives 68 meters of it to her friend, so she has 79 - 68 = <<79-68=11>>11 meters of string left. Later, she buys an additional 19 meters of string, so she has 11 + 19 = <<11+19=30>>30 meters of string now. ### Answer: 30 meters of string.
Expected answer: 30
Correct? Yes
Problem: Continuing from the previous problem, if Mia wants to reach a goal of having exactly 51 meters of string, how many more meters of string does she need to buy?
Gemma 2B:
Reasoning: Mia has 30 meters of string now. She needs to buy 51 - 30 = <<51-30=21>>21 meters of string more to reach her goal of having exactly 51 meters of string. ### Answer: 21 meters of string.
Expected answer: 21
Correct? Yes
Problem: Continuing from the initial problem, suppose that instead of receiving an additional 19 meters of string, Mia actually bought 61 meters more. How many meters of string would she have then?
Gemma 2B:
Reasoning: Mia has 30 meters of string now. She buys 61 meters more, so she has 30 + 61 = <<30+61=91>>91 meters of string now. ### Answer: 91 meters of string.
Expected answer: 72
Correct? No
Problem: David is making a blanket that requires 54 inches of fabric. However, he only has 33 inches of fabric at home. How many more inches of fabric does David need to complete his blanket?
Gemma 2B:
Reasoning: David needs 54 - 33 = <<54-33=21>>21 inches more of fabric to complete his blanket. ### Answer: 21 inches
Expected answer: 21
Correct? Yes
Problem: After making the blanket, David realizes he made a mistake in his measurement. He actually needs 69 inches of fabric for the blanket instead of 54 inches. Given that he still only has 33 inches of fabric at home, how many more inches of fabric does David now need to correct his mistake?
Gemma 2B:
Reasoning: David needs 69 - 33 = <<69-33=36>>36 inches more of fabric to correct his mistake. ### Answer: 36 inches
Expected answer: 36
Correct? Yes
Problem: Hank started digging a tunnel to reach a hidden treasure. He planned to dig a tunnel 82 feet in length. After digging for several days, he found that he had only been able to dig a 62 feet long tunnel. How many more feet does Hank need to dig to reach his planned length?
Gemma 2B:
Reasoning: To find the number of feet Hank needs to dig, we need to subtract the length of the tunnel he has already dug (62 feet) from the planned length of the tunnel (82 feet). 82 feet - 62 feet = <<82-62=20>>20 feet Therefore, Hank needs to dig an additional 20 feet to reach his planned length.
Expected answer: 20
Correct? Yes
Problem: A craftsman is building a large dining table. One side measures 43 inches, and he needs to cut another piece that is 36 inches to fit the other side. How long is the table when the two parts are combined?
Gemma 2B:
Reasoning: The table is 43 inches long on one side, and we need to add 36 inches to make it 80 inches long. ### Answer: 80 inches
Expected answer: 79
Correct? No
Problem: John is working on a project that requires a rope of certain length. He currently has a piece of rope that is 74 feet long. He realizes he still needs an additional 6 feet of rope to complete the project. How long is the total amount of rope that John needs in feet?
Gemma 2B:
Reasoning: John needs an additional 6 feet of rope to complete the project, so he needs a total of 74 + 6 = <<74+6=80>>80 feet of rope. ### Answer: 80 feet
Expected answer: 80
Correct? Yes
Problem: John is working on a project that requires a rope of certain length. He currently has a piece of rope that is 74 feet long. He realizes he still needs an additional 6 feet of rope to complete the project. How long is the total amount of rope that John needs in feet? After finishing his project, John realizes that he is 94 feet away from the workshop. Subtracting the length of the rope he used from the total distance to the workshop, how far away is John from the workshop now?
Gemma 2B:
Reasoning: John needs an additional 6 feet of rope to complete the project, so he needs a total of 74 + 6 = <<74+6=80>>80 feet of rope. After finishing his project, John is 94 feet away from the workshop. Subtracting the length of the rope he used from the total distance to the workshop, John is now 94 - 80 = <<94-80=14>>14 feet away from the workshop. ### Answer: 14 feet
Expected answer: 14
Correct? Yes
Problem: In John's rope project, consider a variation. Suppose he originally had a rope that was 92 feet long instead of 74 feet. He still realizes he needs an additional 6 feet of rope to complete his project. In this case, how long is the total amount of rope that John needs in feet?
Gemma 2B:
Reasoning: John still needs an additional 6 feet of rope to complete his project, so he needs a total of 92 + 6 = <<92+6=98>>98 feet of rope. ### Answer: 98 feet
Expected answer: 98
Correct? Yes
Problem: David is cutting strings for his craft project. He cuts a string into 14 equal pieces but then decides he doesn't need one of them. What would be the number of string pieces David has after removing the unwanted piece?
Gemma 2B:
Reasoning: David has 14 string pieces in total. If he removes one piece, he will have 14 - 1 = <<14-1=13>>13 string pieces left. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Following his previous craft project, David decides to create another. This time he cuts 39 equal pieces of string. He then decides to add the leftover strings from his last project. How many pieces of string does David have now?
Gemma 2B:
Reasoning: David has 39 string pieces from his current project. He also has 13 string pieces from his previous project. In total, David has 39 + 13 = <<39+13=52>>52 string pieces. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: After reviewing his project once again, David decides to replace one of his earlier projects where he had cut 86 equal pieces of string. This time, he doesn't require one and removes it. Now how many pieces of string does David have from this particular project?
Gemma 2B:
Reasoning: David had 86 string pieces in total. If he removes one piece, he will have 86 - 1 = <<86-1=85>>85 string pieces left. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A contractor was supposed to cut a piece of timber into two pieces. The first piece measured 66 feet. The contractor then accidentally severed the remaining piece into an additional 19 feet piece. What is the total length of the initially uncut timber piece?
Gemma 2B:
Reasoning: The contractor cut the timber into two pieces, one of which was 66 feet long. The remaining piece was severed into an additional 19 feet piece. Therefore, the total length of the initially uncut timber piece is 66 + 19 = <<66+19=85>>85 feet. ### Answer: 85 feet.
Expected answer: 85
Correct? Yes
Problem: After measuring again, the contractor notices that he cut 3 feet too much from the initial length of timber. What is the correct length of the initially uncut timber?
Gemma 2B:
Reasoning: The contractor cut 66 feet from the initial length of timber, but he accidentally cut 3 feet too much. Therefore, the correct length of the initially uncut timber is 66 - 3 = <<66-3=63>>63 feet. ### Answer: 63 feet.
Expected answer: 82
Correct? No
Problem: Suppose the contractor made a mistake and the first piece was only supposed to measure 30 feet, not 66 feet, with the additional 19 feet piece remaining the same. What would then be the total length of the initially uncut timber piece?
Gemma 2B:
Reasoning: The contractor made a mistake and the first piece was only supposed to measure 30 feet, not 66 feet. The additional 19 feet piece remained the same. Therefore, the total length of the initially uncut timber piece is 30 + 19 = <<30+19=59>>59 feet. ### Answer: 59 feet.
Expected answer: 49
Correct? No
Problem: Daniel is constructing a fence for his yard. He has already built 36 feet of the fence, but he then realizes he needs another 7 feet to complete it. How many feet of fencing does Daniel need in total to complete his backyard fence?
Gemma 2B:
Reasoning: Daniel has already built 36 feet of the fence, so he needs to add 7 feet to complete it. Therefore, Daniel needs a total of 36 + 7 = <<36+7=43>>43 feet of fencing to complete his backyard fence. ### Answer: 43 feet
Expected answer: 43
Correct? Yes
Problem: Now that Daniel has completed his backyard fence, he decided to also add a fence to the front yard. He plans to build the front yard fence with the same length as the backyard one. What is the total length of fencing Daniel needs for both his front and back yard?
Gemma 2B:
Reasoning: Daniel has already built 43 feet of fencing for his backyard fence. To build a fence for the front yard, he needs to build a fence with the same length as the backyard one. Therefore, Daniel needs to build 43 feet of fencing for the front yard. The total length of fencing Daniel needs for both his front and back yard is 43 + 43 = <<43+43=86>>86 feet of fencing. ### Answer: 86 feet of fencing
Expected answer: 86
Correct? Yes
Problem: Daniel reevaluated his measurements and found he only needs 8 feet of fencing instead of 36 feet for his front yard, but still needs an additional 7 feet. How many total feet of fencing does Daniel need now to build the fence for his front yard?
Gemma 2B:
Reasoning: Daniel only needs 8 feet of fencing instead of 36 feet for his front yard, so he needs to add 7 feet to complete it. Therefore, Daniel needs a total of 8 + 7 = <<8+7=15>>15 feet of fencing to build the fence for his front yard. ### Answer: 15 feet
Expected answer: 15
Correct? Yes
Problem: The length of a cricket pitch is generally 76 yards. However, a local community's cricket club has a pitch that is only 64 yards long. How much shorter in yards is the community club's cricket pitch than the generally accepted length?
Gemma 2B:
Reasoning: The length of the community club's cricket pitch is 64 yards, and the generally accepted length of a cricket pitch is 76 yards. To find the difference between the two lengths, we can subtract the longer length from the shorter length: 76 yards - 64 yards = <<76-64=12>>12 yards Therefore, the community club's cricket pitch is 12 yards shorter than the generally accepted length.
Expected answer: 12
Correct? Yes
Problem: Jake has a string that is 67 meters long. He cut off 5 meters to use for a school project. He later bought an additional 35 meters of string. How long is Jake's string now?
Gemma 2B:
Reasoning: Jake's string was 67 meters long to begin with. He cut off 5 meters, so he has 67 - 5 = <<67-5=62>>62 meters left. He then bought an additional 35 meters of string, so his total string length is 62 + 35 = <<62+35=97>>97 meters. ### Answer: 97 meters
Expected answer: 97
Correct? Yes
Problem: After accounting for his recent purchases, Jake decided to use 22 meters of the string to create a hammock. After making the hammock, how long is Jake's string now?
Gemma 2B:
Reasoning: Jake used 22 meters of the string to create a hammock, so he has 97 - 22 = <<97-22=75>>75 meters left. ### Answer: 75 meters
Expected answer: 75
Correct? Yes
Problem: Instead of cutting off 5 meters from the original 67 meters of string, let's say Jake cut off 28 meters for his school project. He then adds an additional 35 meters of string, like before. How long is Jake's string now?
Gemma 2B:
Reasoning: Jake's string was 67 meters long to begin with. He cut off 28 meters, so he has 67 - 28 = <<67-28=39>>39 meters left. He then bought an additional 35 meters of string, so his total string length is 39 + 35 = <<39+35=74>>74 meters. ### Answer: 74 meters
Expected answer: 74
Correct? Yes
Problem: A builder is constructing a fence that is 92 feet long. If he builds 2 feet of the fence and then stops, how many feet of the fence remain to be built?
Gemma 2B:
Reasoning: The builder has built 2 feet of the fence, so the remaining length of the fence is 92 - 2 = <<92-2=90>>90 feet. ### Answer: 90 feet
Expected answer: 90
Correct? Yes
Problem: Continuing from the previous problem, suppose instead the first fence the builder was constructing was 62 feet long, but he again builds 2 feet and then stops. Now, how many feet of the fence remain to be built?
Gemma 2B:
Reasoning: The builder has built 2 feet of the fence, so the remaining length of the fence is 62 - 2 = <<62-2=60>>60 feet. ### Answer: 60 feet
Expected answer: 60
Correct? Yes
Problem: A construction crew is laying out the foundation for a new building. The first section of the foundation is 80 feet long. They then need to lay out an additional section of 13 feet. What is the total length of the foundation?
Gemma 2B:
Reasoning: The first section of the foundation is 80 feet long. To find the total length of the foundation, we need to add the length of the additional section, which is 13 feet. Total length = 80 + 13 = <<80+13=93>>93 feet. ### Answer: 93 feet.
Expected answer: 93
Correct? Yes
Problem: After finishing the foundation, the construction crew realizes they laid more foundation than necessary. They need to decrease the length of foundation by 62 feet. What will be the final length of the foundation after the alteration?
Gemma 2B:
Reasoning: The construction crew laid out 93 feet of foundation, but they need to decrease the length by 62 feet. To find the final length of the foundation, we need to subtract the excess length from the original length. Final length = 93 - 62 = <<93-62=31>>31 feet. ### Answer: 31 feet.
Expected answer: 31
Correct? Yes
Problem: Considering the construction crew initially laid a foundation of 70 feet long before adding the additional section of 13 feet, what would the total length of the foundation be?
Gemma 2B:
Reasoning: The initial foundation was 70 feet long. To find the total length of the foundation, we need to add the length of the additional section, which is 13 feet. Total length = 70 + 13 = <<70+13=83>>83 feet. ### Answer: 83 feet.
Expected answer: 83
Correct? Yes
Problem: Susan is stitching a scarf. She initially cut a piece of 78 inches long yarn. But, after stitching some part of the scarf, she noticed she only used 38 inches of yarn. How many inches of yarn does Susan still have left?
Gemma 2B:
Reasoning: Susan used 38 inches of yarn, so she still has 78 - 38 = <<78-38=40>>40 inches of yarn left. ### Answer: 40 inches
Expected answer: 40
Correct? Yes
Problem: As a follow-up question, what if Susan initially cut a piece of 62 inches of yarn instead of 78 inches for the first scarf? After stitching some part of the scarf using 38 inches of yarn, how many inches of yarn would Susan have been left with?
Gemma 2B:
Reasoning: If Susan initially cut a piece of 62 inches of yarn instead of 78 inches for the first scarf, she would have 62 - 38 = <<62-38=24>>24 inches of yarn left. ### Answer: 24 inches
Expected answer: 24
Correct? Yes
Problem: A contractor is building a new house. He lays down 31 meters of plumbing pipes for the ground floor and 45 meters for the second floor. Later, he realizes that he can save some pipes by re-routing and saves 22 meters from the total length. How much total length of plumbing pipes does he finally use in the house?
Gemma 2B:
Reasoning: The total length of plumbing pipes for the ground floor is 31 meters. The total length of plumbing pipes for the second floor is 45 meters. The total length of plumbing pipes for both floors is 31 + 45 = 76 meters. The contractor saves 22 meters by re-routing the pipes. The final total length of plumbing pipes used in the house is 76 - 22 = 54 meters. ### Answer: 54 meters
Expected answer: 54
Correct? Yes
Problem: Following the completion of the house, the contractor realized he needed to add an additional water line for the garden. For this, he had to use another 11 meters from the remaining pipes. After laying down this pipe, what was the total length of plumbing pipes remaining?
Gemma 2B:
Reasoning: The contractor used 11 meters of the remaining pipes to add a water line for the garden. The total length of plumbing pipes remaining is 54 - 11 = 43 meters. ### Answer: 43 meters
Expected answer: 43
Correct? Yes
Problem: Upon review, the contractor realized that he had made a measurement error in his initial calculation. In place of the 31 meters of plumbing pipe for the ground floor, he actually needed only 10 meters. After making this correction, adjusting for the second floor and the subsequent adjustments including saving some pipes by re-routing and then adding a separate water line for the garden, what is now the total length of plumbing pipes remaining?
Gemma 2B:
Reasoning: The contractor initially laid down 31 meters of plumbing pipes for the ground floor, but he realized that he had made a measurement error and actually needed only 10 meters. The total length of plumbing pipes for the second floor is still 45 meters. The contractor saved 22 meters by re-routing the pipes. The contractor added a separate water line for the garden, which is not included in the total length of plumbing pipes. The final total length of plumbing pipes remaining is: 10 meters (ground floor) + 45 meters (second floor) - 22 meters (re-routing) = 73 meters. ### Answer: 73 meters
Expected answer: 33
Correct? No
Problem: Peter has a 21 foot long rope. He decides to extend it with an extra foot to measure a greater span in his garden. How long is his rope now in feet?
Gemma 2B:
Reasoning: Peter has a 21 foot long rope. He decides to extend it with an extra foot to measure a greater span in his garden. New length = Old length + Extension New length = 21 + 1 New length = 22 feet ### Answer: 22 feet
Expected answer: 22
Correct? Yes
Problem: Peter originally had a 67 foot long rope, but he used some of it for other projects. After extending his current 21 foot long rope with an extra foot to measure a greater span in his garden, how much of the original rope does he have left?
Gemma 2B:
Reasoning: Peter originally had a 67 foot long rope, but he used some of it for other projects. After extending his current 21 foot long rope with an extra foot to measure a greater span in his garden, he has 67 - 21 = <<67-21=46>>46 feet of the original rope left. ### Answer: 46 feet
Expected answer: 45
Correct? No
Problem: Instead of extending his current 21 foot long rope by 1 foot, Peter decides to add a 79 foot long piece of rope to it. How long is his rope now?
Gemma 2B:
Reasoning: Peter has a 21 foot long rope. He decides to add a 79 foot long piece of rope to it. New length = Old length + Extension New length = 21 + 79 New length = 90 feet ### Answer: 90 feet
Expected answer: 100
Correct? No
Problem: Jacob is designing a rectangular garden that is 82 feet long. However, he decided to shorten one end by 3 feet to make room for a small shed. How long is the garden now?
Gemma 2B:
Reasoning: The original length of the garden was 82 feet. Jacob shortened one end by 3 feet, so the new length of the garden is 82 - 3 = <<82-3=79>>79 feet. ### Answer: 79 feet
Expected answer: 79
Correct? Yes
Problem: Now, Jacob wants to install a walkway that goes all around the garden. If the walkway will be an additional 14 feet longer than the length of the garden, how long will the walkway be?
Gemma 2B:
Reasoning: The length of the garden is 79 feet. The walkway will be an additional 14 feet longer than the length of the garden, so the length of the walkway is 79 + 14 = <<79+14=93>>93 feet. ### Answer: 93 feet
Expected answer: 93
Correct? Yes
Problem: Stanley has an aquarium that is 16 inches long. To make more space for his fish, he decides to add a larger aquarium section which is 35 inches long. How long will his aquarium be in total after he adds the new section?
Gemma 2B:
Reasoning: Stanley's aquarium is currently 16 inches long. He wants to add a new section that is 35 inches long. To find the total length of the aquarium after adding the new section, we need to add the length of the original aquarium and the length of the new section. 16 + 35 = <<16+35=51>>51 inches Therefore, Stanley's aquarium will be 51 inches long after adding the new section.
Expected answer: 51
Correct? Yes
Problem: A construction company has laid 3 Km of a new road in a day and the next day they laid another 62 Km. How many kilometers of road did the construction company lay in total?
Gemma 2B:
Reasoning: The construction company laid 3 km of road in a day, so they laid 3 km + 62 km = <<3+62=65>>65 km in total. ### Answer: 65 km
Expected answer: 65
Correct? Yes
Problem: After laying 3 Km of road on the first day and another 62 Km on the second day, the construction company decided to add an extra 2 Km stretch of road to the design plan the following day. How many kilometers of road in total does the company need to lay according to the new plan?
Gemma 2B:
Reasoning: The construction company laid 3 km of road on the first day, 62 km on the second day, and they decided to add an extra 2 km stretch of road to the design plan for the following day. Therefore, the total distance of road the company needs to lay is: 3 km + 62 km + 2 km = <<3+62+2=67>>67 km ### Answer: 67 km
Expected answer: 67
Correct? Yes
Problem: Initially, the construction company had laid 2 Km of road on the first day instead of 3 Km and another 62 Km on the second day. How many kilometers of road did the company lay in total over the two days considering this change?
Gemma 2B:
Reasoning: The construction company laid 2 km of road on the first day instead of 3 km, so they laid 2 km + 62 km = <<2+62=64>>64 km in total. ### Answer: 64 km
Expected answer: 64
Correct? Yes
Problem: In a construction project, 37 feet of steel rods are used for the base of the building, and an additional 21 feet of steel rods are used for the columns. How many feet of steel rods are used in total for the construction project?
Gemma 2B:
Reasoning: The total number of feet of steel rods used for the construction project is the sum of the number of feet used for the base and the number of feet used for the columns. Total number of feet of steel rods = 37 + 21 = <<37+21=58>>58 feet. ### Answer: 58 feet.
Expected answer: 58
Correct? Yes
Problem: John is building a bookshelf that is expected to be 5 feet tall. However, after assembling, he realizes that he needs 2 more feet to reach the desired height. How tall would the bookshelf be after adding 2 more feet?
Gemma 2B:
Reasoning: The bookshelf is currently 5 feet tall. To reach the desired height of 7 feet, John needs to add 2 more feet. So, the bookshelf would be 5 + 2 = <<5+2=7>>7 feet tall after adding 2 more feet. ### Answer: 7 feet
Expected answer: 7
Correct? Yes
Problem: In addition to building the bookshelf, John also wants to install a ladder that reaches from the floor to the ceiling of the room. If the ceiling is 32 feet high, how tall does the rest of the ladder have to be after placing it on top of the already built bookshelf?
Gemma 2B:
Reasoning: The ladder needs to reach from the floor to the ceiling, which is 32 feet high. The bookshelf is currently 5 feet tall, so the ladder needs to be 32 - 5 = <<32-5=27>>27 feet tall to reach the ceiling. So, the ladder would be 27 feet tall after placing it on top of the already built bookshelf. ### Answer: 27 feet
Expected answer: 25
Correct? No
Problem: Instead of the bookshelf, imagine if John initially planned to build a wardrobe that was 73 feet tall. However, after assembling, he realizes that he needs 2 more feet to reach the desired height. How tall would the wardrobe be after adding 2 more feet?
Gemma 2B:
Reasoning: The wardrobe was initially planned to be 73 feet tall. To reach the desired height of 75 feet, John needs to add 2 more feet. So, the wardrobe would be 73 + 2 = <<73+2=75>>75 feet tall after adding 2 more feet. ### Answer: 75 feet
Expected answer: 75
Correct? Yes
Problem: John was measuring the length of his backyard room with his tape measure. He measured one side to be 71 feet long. He then measured another side, which was 16 feet shorter. What is the length of the shorter side of his backyard room?
Gemma 2B:
Reasoning: The shorter side of the backyard room is 71 feet - 16 feet = <<71-16=55>>55 feet long. ### Answer: 55 feet
Expected answer: 55
Correct? Yes
Problem: Suppose instead of 16 feet shorter, the second side John measured was 49 feet shorter than the first side. What then would be the length of this shorter side of his backyard room?
Gemma 2B:
Reasoning: The shorter side of the backyard room is 71 feet - 49 feet = <<71-49=22>>22 feet long. ### Answer: 22 feet
Expected answer: 22
Correct? Yes
Problem: A construction worker has already laid down a pipe that is 61 feet long. To finish the job, they need to add another segment of pipe that is 3 feet long. How long will the total pipe be when it is finished?
Gemma 2B:
Reasoning: The total length of the pipe will be the length of the first segment (61 feet) plus the length of the second segment (3 feet). Total length = 61 + 3 = <<61+3=64>>64 feet. ### Answer: 64 feet.
Expected answer: 64
Correct? Yes
Problem: In the construction project, after the worker had laid down a pipe that was 61 feet long and added a 3 feet segment, another team of workers came to inspect and found that 49 feet of the pipe already laid didn't meet the safety regulations and needed to be removed. How long would the total pipe be after the faulty segment was removed?
Gemma 2B:
Reasoning: The total length of the pipe after the faulty segment was removed would be the length of the first segment (61 feet) minus the length of the faulty segment (49 feet). Total length = 61 - 49 = <<61-49=12>>12 feet. ### Answer: 12 feet.
Expected answer: 15
Correct? No
Problem: During the inspection of the construction project, it was found that instead of a pipe segment of 61 feet, the workers had actually laid a segment that was 69 feet long before adding the additional 3 feet. How long would the total pipe be with this new measurement?
Gemma 2B:
Reasoning: The total length of the pipe would be the length of the first segment (69 feet) plus the length of the second segment (3 feet). Total length = 69 + 3 = <<69+3=72>>72 feet. ### Answer: 72 feet.
Expected answer: 72
Correct? Yes
Problem: In order to build a fence, Johnny bought two lengths of wood. One length was 16 feet, and the other was 22 feet. How many feet of wood did Johnny buy in total?
Gemma 2B:
Reasoning: Johnny bought two lengths of wood, one of which was 16 feet and the other was 22 feet. To find the total length of wood Johnny bought, we need to add the two lengths together. 16 + 22 = 38 feet Therefore, Johnny bought 38 feet of wood in total. ### Answer: 38 feet
Expected answer: 38
Correct? Yes
Problem: After building the fence, Johnny decided to add an extension. For this, he bought another 52 feet of wood. How many feet of wood has Johnny bought in total for his fencing project?
Gemma 2B:
Reasoning: Johnny has already bought 38 feet of wood for the fence. He has now bought an additional 52 feet of wood for the extension. 38 + 52 = 90 feet Therefore, Johnny has bought a total of 90 feet of wood for his fencing project. ### Answer: 90 feet
Expected answer: 90
Correct? Yes
Problem: After reviewing his purchase, Johnny realized he actually bought 15 feet of wood instead of 16 for the first part of the fence, while the second part remained 22 feet. How many feet of wood did Johnny actually buy for the initial part of his fencing project?
Gemma 2B:
Reasoning: Johnny initially bought 16 feet of wood for the first part of the fence, but he realized he actually bought 15 feet instead. Therefore, the correct total length of wood Johnny bought for the first part of the fence is: 15 + 22 = 37 feet Therefore, Johnny actually bought 37 feet of wood for the initial part of his fencing project. ### Answer: 37 feet
Expected answer: 37
Correct? Yes
Problem: Jack is preparing a ribbon for a gift. He originally has a ribbon that is 81 centimeters long. But after wrapping some of the gifts, he finds that the remaining length of the ribbon is 56 centimeters shorter than the original length. How long is the remaining length of the ribbon?
Gemma 2B:
Reasoning: Let the original length of the ribbon be x cm. Let the length of the remaining ribbon be y cm. We know that the remaining length of the ribbon is 56 centimeters shorter than the original length. So, we can write an equation: x - y = 56 We also know that the original length of the ribbon is 81 centimeters. So, we can substitute x = 81 in the equation: 81 - y = 56 Now, we can solve for y: y = 81 - 56 y = 25 So, the remaining length of the ribbon is 25 centimeters. ### Answer: 25 centimeters
Expected answer: 25
Correct? Yes
Problem: Jack is preparing a ribbon for a gift. He originally has a ribbon that is 81 centimeters long. But after wrapping some of the gifts, he finds that the remaining length of the ribbon is 56 centimeters shorter than the original length. For the next round of gift wrapping, he needs twice the length of the remaining ribbon. How many centimeters of ribbon does he need for the next round of gift wrapping?
Gemma 2B:
Reasoning: Let the remaining length of the ribbon be x cm. We know that the next round of gift wrapping needs twice the length of the remaining ribbon. So, we can write an equation: 2x = 56 We also know that the original length of the ribbon is 81 centimeters. So, we can substitute x = 81 - 56 in the equation: 2(81 - 56) = 56 2(25) = 56 50 = 56 Therefore, the next round of gift wrapping needs 50 centimeters of ribbon. ### Answer: 50 centimeters
Expected answer: 50
Correct? Yes
Problem: Given the same scenario as before, suppose the original length of the ribbon Jack has is not 81 cm but 100 cm. After wrapping some of the gifts, he finds that the remaining length of the ribbon is 56 centimeters shorter than the original length. How long is the remaining length of the ribbon under these new conditions?
Gemma 2B:
Reasoning: Let the original length of the ribbon be x cm. Let the length of the remaining ribbon be y cm. We know that the remaining length of the ribbon is 56 centimeters shorter than the original length. So, we can write an equation: x - y = 56 We also know that the original length of the ribbon is 100 cm. So, we can substitute x = 100 in the equation: 100 - y = 56 Now, we can solve for y: y = 100 - 56 y = 44 So, the remaining length of the ribbon is 44 centimeters. ### Answer: 44 centimeters
Expected answer: 44
Correct? Yes
Problem: In a recent marathon, Sam noticed that the running route was 50 kilometers long. After running for the whole morning, he checked his GPS and found that he had already run 27 kilometers. How many kilometers does he still need to run to complete the marathon?
Gemma 2B:
Reasoning: Sam has already run 27 kilometers, so he still needs to run 50 - 27 = <<50-27=23>>23 kilometers to complete the marathon. ### Answer: 23 kilometers
Expected answer: 23
Correct? Yes
Problem: An architect is designing a park that includes a large loop trail. One portion of the trail is 21 meters long. If there is an additional 29 meters of trail beyond this portion, how many meters long is the trail in total?
Gemma 2B:
Reasoning: The total length of the trail is the length of the 21 meter portion plus the additional 29 meters. 21 meters + 29 meters = <<21+29=50>>50 meters long. ### Answer: 50 meters
Expected answer: 50
Correct? Yes
Problem: Following up on the previous situation, if the architect decides that the total desired length for the loop trail is 64 meters, how many more meters does she need to add to the current trail length to reach this goal?
Gemma 2B:
Reasoning: The architect needs to add 64 - 50 = <<64-50=4>>4 meters to the current trail length to reach the desired length of 64 meters. ### Answer: 4 meters
Expected answer: 14
Correct? No
Problem: In light of the architect's new plans, imagine instead the initial length of the trail was 70 meters before adding the extra portion. In that case, what would the total length of the trail be if an additional 21 meters were added to this 70-meter section?
Gemma 2B:
Reasoning: The total length of the trail would be the initial length of 70 meters plus the additional 21 meters. 70 meters + 21 meters = <<70+21=91>>91 meters long. ### Answer: 91 meters
Expected answer: 91
Correct? Yes
Problem: In his garden, Mr. Johnson planted rows of carrots that measure 55 meters in total length. He then decided to add an additional section to his garden for potatoes that measures 20 meters. What would be the total length of the garden after he has added the new section?
Gemma 2B:
Reasoning: The total length of the garden before adding the new section is 55 meters. The length of the new section is 20 meters. The total length of the garden after adding the new section is 55 + 20 = <<55+20=75>>75 meters. ### Answer: 75 meters.
Expected answer: 75
Correct? Yes
Problem: Continuing from the previous problem, Mr. Johnson initially planted rows of carrots that measure 55 meters in total length and added an additional section for potatoes which measures 20 meters. Now, he wants to add another 16 meters section for planting tomatoes to his garden. What will be the new total length of the garden after adding the section for tomatoes?
Gemma 2B:
Reasoning: The total length of the garden before adding the section for tomatoes is 55 + 20 = <<55+20=75>>75 meters. The length of the new section for tomatoes is 16 meters. The total length of the garden after adding the section for tomatoes is 75 + 16 = <<75+16=91>>91 meters. ### Answer: 91 meters.
Expected answer: 91
Correct? Yes
Problem: In the previous problem, Mr. Johnson had initially planted rows of carrots that were 55 meters in total length before adding other sections. But, what if initially, the rows of carrots were only 22 meters in length? If he still added the 20 meter section for the potatoes, what would then be the new total length of the garden?
Gemma 2B:
Reasoning: The total length of the garden before adding the new section is 22 meters. The length of the new section is 20 meters. The total length of the garden after adding the new section is 22 + 20 = <<22+20=42>>42 meters. ### Answer: 42 meters.
Expected answer: 42
Correct? Yes
Problem: David is making a fence for his garden. He planned to make it 72 feet long but then decided it was too long. So, he shortened it by 6 feet. How many feet long is David's fence now?
Gemma 2B:
Reasoning: David's fence was originally 72 feet long, but he shortened it by 6 feet, so it is now 72 - 6 = <<72-6=66>>66 feet long. ### Answer: 66 feet
Expected answer: 66
Correct? Yes
Problem: David was thinking about his garden fence again. He originally had planned for his fence to be 72 feet long but then thought it might look better if he shortened it by 22 feet instead of 6 feet. How long would David's fence be if he reduced it by 22 feet?
Gemma 2B:
Reasoning: David's fence was originally 72 feet long, but he shortened it by 22 feet, so it is now 72 - 22 = <<72-22=50>>50 feet long. ### Answer: 50 feet
Expected answer: 50
Correct? Yes
Problem: For a school project, Jack had to cut a piece of cardboard in the shape of a rectangle. The cardboard he used was 7 feet long. Then, he decided to make the rectangle larger and added 41 more feet of cardboard. How many feet of cardboard did he use in total?
Gemma 2B:
Reasoning: Jack used 7 feet of cardboard to make the original rectangle. He then added 41 more feet of cardboard to make the rectangle larger. Total feet of cardboard used = 7 + 41 = <<7+41=48>>48 feet. ### Answer: 48 feet.
Expected answer: 48
Correct? Yes
Problem: Suppose that initially, Jack had started with a piece of cardboard that was 29 feet instead of 7 feet. If he still added the 41 feet of cardboard to make the rectangle larger, how long would his project be in feet?
Gemma 2B:
Reasoning: Jack started with a piece of cardboard that was 29 feet long. He then added 41 feet of cardboard to make the rectangle larger. Total length of cardboard used = 29 + 41 = <<29+41=69>>69 feet. ### Answer: 69 feet.
Expected answer: 70
Correct? No
Problem: During his workout, Bob ran 45 miles on his treadmill. After having a break, he decided to run an additional 8 miles. How many miles did Bob run in total during his workout?
Gemma 2B:
Reasoning: Bob ran 45 miles on his treadmill, and then he ran an additional 8 miles. Therefore, Bob ran a total of 45 + 8 = <<45+8=53>>53 miles during his workout. ### Answer: 53 miles
Expected answer: 53
Correct? Yes
Problem: Bob initially aimed to run 61 miles during his workout. After running 45 miles on his treadmill and an additional 8 miles after his break, how many miles is Bob short of his initial goal?
Gemma 2B:
Reasoning: Bob initially aimed to run 61 miles during his workout. After running 45 miles on his treadmill and an additional 8 miles after his break, Bob ran a total of 45 + 8 = <<45+8=53>>53 miles. Therefore, Bob is short of his initial goal by 61 - 53 = <<61-53=8>>8 miles. ### Answer: 8 miles
Expected answer: 8
Correct? Yes
Problem: Continuing from the last scenario, suppose Bob initially ran 58 miles on his treadmill instead of 45 miles before taking his break. After his break, if he still runs an additional 8 miles as before, how much total distance does he cover during his workout now?
Gemma 2B:
Reasoning: Bob initially ran 58 miles on his treadmill instead of 45 miles before taking his break. After his break, if he still runs an additional 8 miles as before, he will run a total of 58 + 8 = <<58+8=66>>66 miles during his workout now. ### Answer: 66 miles
Expected answer: 66
Correct? Yes
Problem: For her knitting project, Martha has got 7 meters of green yarn and 44 meters of blue yarn. How many meters of yarn does Martha have altogether for her knitting project?
Gemma 2B:
Reasoning: Martha has 7 meters of green yarn + 44 meters of blue yarn = 7 + 44 = 51 meters of yarn. ### Answer: 51 meters of yarn.
Expected answer: 51
Correct? Yes
Problem: Suppose instead of having 44 meters of blue yarn initially, Martha actually had 85 meters of blue yarn, along with the 7 meters of green yarn. How many meters of yarn would Martha have had in total for her knitting project in that case?
Gemma 2B:
Reasoning: Martha has 7 meters of green yarn + 85 meters of blue yarn = 7 + 85 = 92 meters of yarn. ### Answer: 92 meters of yarn.
Expected answer: 92
Correct? Yes
Problem: For a science project, John needs to measure a piece of string. Initially, he measures 50 cm of the string. Later, he realizes he needs an additional 21 cm for his experiment. What is the total length of the string that John needs in cm?
Gemma 2B:
Reasoning: John needs an additional 21 cm for his experiment, so he needs a total of 50 cm + 21 cm = <<50+21=71>>71 cm of string. ### Answer: 71 cm
Expected answer: 71
Correct? Yes
Problem: In addition to the string needed for his science project, John also needs 14 cm of string to complete his math project. What is the total length of the string that John needs for both projects in cm?
Gemma 2B:
Reasoning: John needs 71 cm of string for his science project and 14 cm of string for his math project, so he needs a total of 71 cm + 14 cm = <<71+14=85>>85 cm of string for both projects. ### Answer: 85 cm
Expected answer: 85
Correct? Yes
Problem: Suppose instead for his science project, John initially measures a shorter piece of string, which is only 50 cm. He later realizes he needs an additional 26 cm for his experiment. What is the new total length of the string that John needs for his science project in cm?
Gemma 2B:
Reasoning: John initially measures a shorter piece of string, which is only 50 cm. He later realizes he needs an additional 26 cm for his experiment. Therefore, the new total length of the string that John needs for his science project is 50 cm + 26 cm = <<50+26=76>>76 cm. ### Answer: 76 cm
Expected answer: 76
Correct? Yes
Problem: A farmer has a field that measures 70 meters in length. He decides to extend the length of the field by another 30 meters to grow more crops. How long will the field be after he extends it?
Gemma 2B:
Reasoning: The farmer's field is currently 70 meters long. He wants to extend it by 30 meters, so he will have a total length of 70 + 30 = <<70+30=100>>100 meters. ### Answer: 100 meters
Expected answer: 100
Correct? Yes
Problem: After extending the field by 30 meters, the farmer realizes that part of the land is too rocky to grow crops. He decides to reduce the cultivated area by 29 meters. What is now the total length of the land he uses to grow crops?
Gemma 2B:
Reasoning: The farmer's field is currently 100 meters long. He wants to reduce the cultivated area by 29 meters, so he will have a total length of 100 - 29 = <<100-29=71>>71 meters. ### Answer: 71 meters
Expected answer: 71
Correct? Yes
Problem: Assume that the farmer originally had a field that measures 70 meters in length. But instead of extending it by 30 meters as previously mentioned, he decides to extend it only by 8 meters due to budget constraints. What would be the total length of the field after this smaller extension?
Gemma 2B:
Reasoning: The farmer's field is currently 70 meters long. He wants to extend it by 8 meters, so he will have a total length of 70 + 8 = <<70+8=78>>78 meters. ### Answer: 78 meters
Expected answer: 78
Correct? Yes
Problem: A marathon course is 64 kilometers long. If a runner collapses 5 kilometers before the finish line, how many kilometers did he complete?
Gemma 2B:
Reasoning: The runner completed 64 - 5 = <<64-5=59>>59 kilometers before collapsing. ### Answer: 59 kilometers
Expected answer: 59
Correct? Yes
Problem: In the previous marathon, the runner collapsed 5 kilometers before the finish line, completing 64 - 5 kilometers of the race. Suppose, a year later, he participates in a marathon with an extended course length of 80 kilometers but collapses again 5 kilometers before the finish line. How many kilometers would he have completed this time?
Gemma 2B:
Reasoning: The runner completed 80 - 5 = <<80-5=75>>75 kilometers before collapsing. ### Answer: 75 kilometers
Expected answer: 75
Correct? Yes
Problem: In a swimming competition, the swimming pool's main section measures 66 meters long. However, to meet competition standards, an additional 28 meters was added to make a bigger lap pool. What is the total length of the swimming pool after the extension?
Gemma 2B:
Reasoning: The main section of the swimming pool is 66 meters long. To meet competition standards, an additional 28 meters was added to make a bigger lap pool. The total length of the swimming pool after the extension is 66 + 28 = <<66+28=94>>94 meters. ### Answer: 94 meters
Expected answer: 94
Correct? Yes
Problem: Following the swimming competition session, the stadium officials decided to create a separate area for beginners. They used 91 meters from the extended swimming pool for this new area. How many meters long is the remaining area in the swimming pool after setting up the beginner's section?
Gemma 2B:
Reasoning: The extended swimming pool is 94 meters long. The beginners' section is 91 meters long. The remaining area in the swimming pool after setting up the beginner's section is 94 - 91 = <<94-91=3>>3 meters. ### Answer: 3 meters
Expected answer: 3
Correct? Yes
Problem: After the swimming competition, the stadium officials decided to reassess the length of the lap pool. Now, instead of adding 28 meters to the original 66 meters, they decided to add only 27 meters. What is the new total length of the lap pool after this adjustment?
Gemma 2B:
Reasoning: The main section of the swimming pool is still 66 meters long. To meet competition standards, the stadium officials decided to add only 27 meters to make a bigger lap pool. The new total length of the lap pool after this adjustment is 66 + 27 = <<66+27=93>>93 meters. ### Answer: 93 meters
Expected answer: 93
Correct? Yes
Problem: A contractor measures a section of a bridge to be 78 meters long. He needs to install a safety barrier that is 1 meter shorter than the length of the section. How long does the safety barrier need to be?
Gemma 2B:
Reasoning: The contractor needs to install a safety barrier that is 1 meter shorter than the length of the section, which is 78 meters. To find the length of the safety barrier, we need to subtract 1 meter from the length of the section. 78 meters - 1 meter = <<78-1=77>>77 meters Therefore, the safety barrier needs to be 77 meters long.
Expected answer: 77
Correct? Yes
Problem: Sam is making a ribbon for a party. He made a first segment that is 5 feet long, then a second segment that is 51 feet long. How long is the ribbon that Sam created in total?
Gemma 2B:
Reasoning: The first segment is 5 feet long, and the second segment is 51 feet long. The total length of the ribbon is the sum of the lengths of the two segments: 5 + 51 = <<5+51=56>>56 feet. ### Answer: 56 feet
Expected answer: 56
Correct? Yes
Problem: In addition to the ribbon that Sam created for the party, he noticed he needs to make the total length of the ribbon 58 feet long to fit perfectly around the party area. How many more feet of ribbon does Sam need to reach this total length?
Gemma 2B:
Reasoning: The total length of the ribbon that Sam created is 56 feet. To reach a total length of 58 feet, Sam needs to add 2 feet to the total length. Therefore, Sam needs to make 2 feet more of ribbon. ### Answer: 2 feet
Expected answer: 2
Correct? Yes
Problem: In the previous problem, Sam was creating ribbons for a party and initially made a ribbon of 5 feet long. However, what if Sam instead created the first segment of the ribbon 47 feet long with the addition of the second segment of 51 feet? How long is the total length of the ribbon that Sam creates under this condition?
Gemma 2B:
Reasoning: The first segment of the ribbon is 47 feet long, and the second segment is 51 feet long. The total length of the ribbon is the sum of the lengths of the two segments: 47 + 51 = <<47+51=98>>98 feet. ### Answer: 98 feet
Expected answer: 98
Correct? Yes
Problem: Juniper is sewing a banner that is 86 centimeters long. However, she decides to extend it by an extra 3 centimeters. After looking at the banner again, she changes her mind and reduces it by 88 centimeters. How long is the banner at the end?
Gemma 2B:
Reasoning: 1. Initial length: 86 cm 2. Extension: 3 cm 3. New length: 86 + 3 = 89 cm 4. Reduction: 89 - 88 = 1 cm Therefore, the final length of the banner is 1 cm. ### Answer: 1 cm
Expected answer: 1
Correct? Yes
Problem: For the end-of-year play, the theater club is planning to decorate the hallway with colorful paper chains. If they already have 20 meters of paper chain, and they need another 74 meters to cover the entire hallway, how long will their paper chain be in total?
Gemma 2B:
Reasoning: They already have 20 meters of paper chain, and they need another 74 meters to cover the entire hallway. So, the total length of the paper chain will be 20 + 74 = <<20+74=94>>94 meters. ### Answer: 94 meters
Expected answer: 94
Correct? Yes
Problem: The theater club was able to successfully decorate the hallway with colorful paper chains. During the decorations, they realized that they could save 42 meters of paper chain by cleverly placing them. After making this adjustment, how long is the paper chain that the theater club actually used for the decoration?
Gemma 2B:
Reasoning: They used 94 meters of paper chain before, and they saved 42 meters by cleverly placing them. So, the actual length of the paper chain used for the decoration is 94 - 42 = <<94-42=52>>52 meters. ### Answer: 52 meters
Expected answer: 52
Correct? Yes
Problem: A construction company is building a road. The main segment they have already built is 62 meters long. To connect this segment with a neighborhood, they need to build an additional stretch of road that is 34 meters long. How long will the road be when it is completed?
Gemma 2B:
Reasoning: The main segment of the road that has already been built is 62 meters long. To connect this segment with the neighborhood, they need to build an additional stretch of road that is 34 meters long. Therefore, the total length of the road will be: 62 + 34 = <<62+34=96>>96 meters long. ### Answer: 96 meters long.
Expected answer: 96
Correct? Yes
Problem: Following on from the previous problem, once the road has been completed, the company then realizes they need to tear up a part of the road equal to the length of the main segment in order to repair some underground pipes. How long will the remaining road be after they tear up the main segment?
Gemma 2B:
Reasoning: The main segment of the road that has already been built is 62 meters long. To tear up this segment, they need to remove the same length of road that has already been built, which is 62 meters long. Therefore, the remaining length of the road will be: 96 - 62 = <<96-62=34>>34 meters long. ### Answer: 34 meters long.
Expected answer: 34
Correct? Yes
Problem: Following on from the earlier problem, what if initially, the main segment of the road that the construction company had built was shorter, only 62 meters long. They still needed to build an additional stretch of road that is 15 meters long in order to connect with the neighborhood. How long would the road be under these circumstances?
Gemma 2B:
Reasoning: The main segment of the road that the construction company had built was initially 62 meters long. To connect this segment with the neighborhood, they need to build an additional stretch of road that is 15 meters long. Therefore, the total length of the road will be: 62 + 15 = <<62+15=77>>77 meters long. ### Answer: 77 meters long.
Expected answer: 77
Correct? Yes
Problem: Adam drops a marble down a hole that is 12 meters deep. He then drills a further 55 meters, ending up with a much deeper hole. How deep is the hole now?
Gemma 2B:
Reasoning: Adam drilled a further 55 meters, which means the hole is now 55 meters deeper than it was before. The hole was 12 meters deep before Adam drilled, so it is now 12 + 55 = <<12+55=67>>67 meters deep. ### Answer: 67 meters
Expected answer: 67
Correct? Yes
Problem: Adam realizes he messed up his calculations. He needs to fill the hole back up by 3 meters to reach the desired depth. How deep is the hole after Adam fills it back up by 3 meters?
Gemma 2B:
Reasoning: Adam needs to fill the hole back up by 3 meters to reach the desired depth. The hole was 67 meters deep before Adam filled it back up, so it is now 67 - 3 = <<67-3=64>>64 meters deep. ### Answer: 64 meters
Expected answer: 64
Correct? Yes
Problem: A garden path is 68 meters long. A gardener has already covered 36 meters of the path with gravel. How many meters are still left to be covered with gravel?
Gemma 2B:
Reasoning: The gardener has already covered 36 meters of the path with gravel, so the remaining distance to be covered is 68 - 36 = <<68-36=32>>32 meters. ### Answer: 32 meters
Expected answer: 32
Correct? Yes
Problem: If the original length of the garden path was 49 meters instead of 68 meters, how many meters would have still been left to be covered with gravel after the gardener had already covered 36 meters?
Gemma 2B:
Reasoning: If the original length of the garden path was 49 meters instead of 68 meters, then the remaining distance to be covered with gravel would be 49 - 36 = <<49-36=13>>13 meters. ### Answer: 13 meters
Expected answer: 13
Correct? Yes
Problem: Bill has run 77 meters in a race. But the finish line is 75 meters from the start. How many meters has he run beyond the finish line?
Gemma 2B:
Reasoning: Bill has run 77 meters in the race, and the finish line is 75 meters from the start. To find out how many meters he has run beyond the finish line, we need to subtract the distance from the finish line from the total distance run. 77 - 75 = <<77-75=2>>2 meters beyond the finish line. ### Answer: 2 meters beyond the finish line.
Expected answer: 2
Correct? Yes
Problem: Originally, the race that Bill ran was 77 meters long. But what if the race was shortened by 14 meters from the original length? How long would the race be then?
Gemma 2B:
Reasoning: If the race was shortened by 14 meters from the original length, the new length of the race would be the original length minus the amount that was shortened. 77 - 14 = <<77-14=63>>63 meters. ### Answer: 63 meters.
Expected answer: 63
Correct? Yes
Problem: Brett's house is 49 feet away from his neighbor's. If Brett's neighbor lives 19 feet away from the local park, how many feet away is Brett's house from the local park?
Gemma 2B:
Reasoning: Brett's neighbor lives 19 feet away from the local park. Brett's house is 49 feet away from his neighbor's house. To find the distance from Brett's house to the local park, we need to add the distance from Brett's house to his neighbor's house to the distance from his neighbor's house to the local park. Distance from Brett's house to his neighbor's house = 49 feet Distance from his neighbor's house to the local park = 19 feet Therefore, the distance from Brett's house to the local park is: Distance from Brett's house to the local park = 49 + 19 = <<49+19=68>>68 feet ### Answer: 68 feet
Expected answer: 68
Correct? Yes
Problem: Continuing from the previous scenario, what if we consider a different avenue from Brett's house to the local park which is 75 feet long instead of 49 feet. How many feet is Brett's house from the local park using this different route?
Gemma 2B:
Reasoning: The distance from Brett's house to the local park using the new route is 75 feet. Distance from Brett's house to the local park = 75 feet ### Answer: 75 feet
Expected answer: 94
Correct? No
Problem: Bob initially planned to cut a piece of rope that was 14 meters long. If he decided to only cut 7 meters of rope, how many meters of rope are left uncut?
Gemma 2B:
Reasoning: Bob initially planned to cut a piece of rope that was 14 meters long. If he decided to only cut 7 meters of rope, then he will have cut 14 - 7 = <<14-7=7>>7 meters of rope. Therefore, there are 7 meters of rope left uncut. ### Answer: 7 meters
Expected answer: 7
Correct? Yes
Problem: After Bob finished cutting the 7 meters of rope, he noticed that he had another long rope that was 72 meters long. How many meters of rope does Bob have in total now?
Gemma 2B:
Reasoning: Bob initially had 7 meters of rope left uncut. After he finished cutting the 7 meters of rope, he had 7 - 7 = <<7-7=0>>0 meters of rope left uncut. Bob then noticed that he had another long rope that was 72 meters long. Therefore, Bob now has a total of 7 + 72 = <<7+72=79>>79 meters of rope. ### Answer: 79 meters
Expected answer: 79
Correct? Yes
Problem: After completing his tasks, Bob remembered that he originally had an 11 meter rope, not a 14 meter one before he cut the 7 meters. If he cut 7 meters from the 11 meter rope, how many meters of rope does he now have?
Gemma 2B:
Reasoning: Bob initially had an 11 meter rope. If he cut 7 meters from the 11 meter rope, then he will have 11 - 7 = <<11-7=4>>4 meters of rope left. Therefore, Bob now has 4 meters of rope. ### Answer: 4 meters
Expected answer: 4
Correct? Yes
Problem: Adam is designing a new playground that will be 37 meters long. However, he decides to add an additional 55 meters to the design to include a running track around the playground. What will be the total length of the playground including the running track?
Gemma 2B:
Reasoning: Adam's original design was 37 meters long. He added 55 meters to the design to include a running track around the playground. The total length of the playground including the running track will be 37 + 55 = <<37+55=92>>92 meters. ### Answer: 92 meters
Expected answer: 92
Correct? Yes
Problem: Adam originally plans to make the playground 37 meters long and enlarge it by 55 meters. But what if he decides to add only 54 meters to the initial 37-meter design instead? What will be the total length of the playground in that case?
Gemma 2B:
Reasoning: Adam's original design was 37 meters long. He decided to add 54 meters to the design instead of 55 meters. The total length of the playground in that case will be 37 + 54 = <<37+54=91>>91 meters. ### Answer: 91 meters
Expected answer: 91
Correct? Yes
Problem: Simon swam 41 meters towards the shore from his boat. If he then continued to run another 42 meters on the beach to reach his beach house, what is the total distance Simon covered from his boat to his beach house?
Gemma 2B:
Reasoning: Simon swam 41 meters towards the shore, which means he covered a distance of 41 meters. Then, he continued to run another 42 meters on the beach to reach his beach house. Therefore, the total distance Simon covered from his boat to his beach house is 41 + 42 = <<41+42=83>>83 meters. ### Answer: 83 meters
Expected answer: 83
Correct? Yes
Problem: Continuing from the previous scenarios, now imagine that instead of swimming 41 meters towards the shore from his boat, Simon initially swam 39 meters. If he then continued to run the same 42 meters on the beach, what would be the total distance he covered from his boat to his beach house now?
Gemma 2B:
Reasoning: If Simon initially swam 39 meters towards the shore from his boat, then he would have covered a distance of 39 meters. If he then continued to run another 42 meters on the beach, he would have covered a total distance of 39 + 42 = <<39+42=81>>81 meters from his boat to his beach house. ### Answer: 81 meters
Expected answer: 81
Correct? Yes
Problem: Toby is building a fence for his garden. The main part of the fence is 10 meters long, and the gate he wants to add on is 35 meters long. Later, he decides to add another 3 meters to the fence. How long is the fence in total if he includes the gate and the additional length?
Gemma 2B:
Reasoning: The main part of the fence is 10 meters long, and the gate is 35 meters long. The total length of the fence is 10 + 35 = <<10+35=45>>45 meters. Later, Toby decides to add another 3 meters to the fence. The total length of the fence is 45 + 3 = <<45+3=48>>48 meters. Therefore, the fence in total is 48 meters long if Toby includes the gate and the additional length.
Expected answer: 48
Correct? Yes
Problem: Johnathon bought a 33-foot long rope to help him climb a hill in his backyard. After using it a few times, he decided to shorten the rope by 17 feet to better suit his needs. How long is the rope now?
Gemma 2B:
Reasoning: Johnathon's original rope was 33 feet long. He shortened it by 17 feet, so the new length of the rope is 33 - 17 = <<33-17=16>>16 feet. ### Answer: 16 feet
Expected answer: 16
Correct? Yes
Problem: Johnathon bought a 33-foot long rope to help him climb a hill in his backyard. After using it a few times, he decided to shorten the rope by 17 feet to better suit his needs. Later, he realized he needed a longer rope to reach the top of a taller tree in the backyard. Therefore, he got another piece of rope that was 41 feet long and attached it to the existing one. How long is the rope now in total?
Gemma 2B:
Reasoning: Johnathon's original rope was 33 feet long. He shortened it by 17 feet, so the new length of the rope is 33 - 17 = <<33-17=16>>16 feet. He then got another piece of rope that was 41 feet long and attached it to the existing one. The total length of the rope is now 16 + 41 = <<16+41=57>>57 feet. Therefore, the rope is now 57 feet long in total. ### Answer: 57 feet
Expected answer: 57
Correct? Yes
Problem: Recalling the previous question, Johnathon bought a 33-foot long rope to help him climb a hill in his backyard. However, imagine instead that he had shortened the rope not by 17 feet, but only by 13 feet to better suit his needs. How long would the rope be in this case?
Gemma 2B:
Reasoning: Johnathon's original rope was 33 feet long. He shortened it by 13 feet, so the new length of the rope is 33 - 13 = <<33-13=20>>20 feet. ### Answer: 20 feet
Expected answer: 20
Correct? Yes
Problem: Robin has a ribbon that is 34 inches long. She decides to cut 13 inches off the ribbon to create a bow for her friend. Later, she buys another ribbon that is 50 inches long. How long are both of Robin's ribbons together?
Gemma 2B:
Reasoning: Robin cut 13 inches off the original ribbon, so the remaining length is 34 - 13 = <<34-13=21>>21 inches. She then buys another ribbon that is 50 inches long. The total length of both ribbons is 21 + 50 = <<21+50=71>>71 inches. ### Answer: 71 inches
Expected answer: 71
Correct? Yes
Problem: Suppose that instead of a 34-inch ribbon, Robin initially had a 24-inch ribbon from which she cut off 13 inches for her friend's bow. How many inches of ribbon would she have in total if she still bought the extra 50-inch ribbon?
Gemma 2B:
Reasoning: Robin cut 13 inches off the original 24-inch ribbon, so the remaining length is 24 - 13 = <<24-13=11>>11 inches. She then buys another ribbon that is 50 inches long. The total length of both ribbons is 11 + 50 = <<11+50=61>>61 inches. ### Answer: 61 inches
Expected answer: 61
Correct? Yes
Problem: Johnny has a 100 meter long rope. He uses 24 meters of it to build a swing in his backyard. How many meters of the rope are left?
Gemma 2B:
Reasoning: Johnny used 24 meters of the rope to build the swing, so the remaining length of the rope is 100 - 24 = <<100-24=76>>76 meters. ### Answer: 76 meters
Expected answer: 76
Correct? Yes
Problem: After Johnny made his swing with 24 meters of his 100 meter long rope, he then decided to use an additional 41 meters of the leftover rope to make a climbing rope for his tree house. How many meters of the original rope are left now?
Gemma 2B:
Reasoning: Johnny used 41 meters of the leftover rope to make the climbing rope, so the remaining length of the original rope is 76 - 41 = <<76-41=35>>35 meters. ### Answer: 35 meters
Expected answer: 35
Correct? Yes
Problem: Suppose initially, Johnny only had a 55 meter long rope instead of the 100 meter rope. If he still uses 24 meters of rope to build the swing, how many meters of rope would be left?
Gemma 2B:
Reasoning: Johnny used 24 meters of the rope to build the swing, so the remaining length of the rope is 55 - 24 = <<55-24=31>>31 meters. ### Answer: 31 meters
Expected answer: 31
Correct? Yes
Problem: In a warehouse, there are initially 38 boxes of toys staged for distribution. Later in the day, an additional 3 boxes were added to the staging area. How many boxes of toys are now staged in the warehouse?
Gemma 2B:
Reasoning: The initial number of boxes of toys staged for distribution was 38. Later, 3 additional boxes were added, so the total number of boxes now staged is 38 + 3 = <<38+3=41>>41. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: In the warehouse, after the 3 new boxes of toys were added to the 38 original ones, additional 8 boxes showed up unexpectedly from another shipment. How many boxes of toys are now present altogether in the warehouse?
Gemma 2B:
Reasoning: The initial number of boxes of toys staged for distribution was 38. Later, 3 additional boxes were added, so the total number of boxes now staged is 38 + 3 = <<38+3=41>>41. Additionally, 8 boxes showed up unexpectedly from another shipment, so the total number of boxes now present altogether in the warehouse is 41 + 8 = <<41+8=49>>49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Originally, the warehouse had 9 boxes of toys staged for distribution, rather than 38. If they still added 3 more boxes to the staging area as before, how many boxes of toys are now staged in the warehouse?
Gemma 2B:
Reasoning: The initial number of boxes of toys staged for distribution was 9. Later, 3 additional boxes were added, so the total number of boxes now staged is 9 + 3 = <<9+3=12>>12. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: John began constructing a train track for his model railroad. He started with 1 foot of track and then added another 25 feet. However, he found that his trains were not running smoothly, so he added another section measuring 38 feet. How many feet did John add to the track in total?
Gemma 2B:
Reasoning: John added 25 feet to the track, and then added another 38 feet. Total feet added = 25 + 38 = <<25+38=63>>63 feet. ### Answer: 63 feet.
Expected answer: 64
Correct? No
Problem: A landscaper is designing a new park. He decided to make the park 75 meters long, but in the middle, he wants to have a 25 meters long garden. How long will be the park area that is not covered by the garden?
Gemma 2B:
Reasoning: The park area that is not covered by the garden is the total park length minus the length of the garden. Total park length = 75 meters Garden length = 25 meters Park area not covered by the garden = Total park length - Garden length = 75 meters - 25 meters = 50 meters ### Answer: 50 meters
Expected answer: 50
Correct? Yes
Problem: Fred wants to run a 100-meter race. After 30 meters, he begins to feel tired and slows down. If he has already run 70 meters, how many meters does he still have to run to finish the race?
Gemma 2B:
Reasoning: Fred has already run 70 meters, so he still has to run 30 meters to finish the race. ### Answer: 30 meters
Expected answer: 30
Correct? Yes
Problem: In the previous situation, Fred stops after running 73 meters instead of 70 meters because of fatigue. Now, how many meters would Fred still have to run to finish the race?
Gemma 2B:
Reasoning: Fred has already run 73 meters, so he still has to run 27 meters to finish the race. ### Answer: 27 meters
Expected answer: 27
Correct? Yes
Problem: A toy car is 5 inches long. When a part of the toy was broken, it lost 2 inches of its length. How many inches long is the toy car now after it was broken?
Gemma 2B:
Reasoning: The toy car was 5 inches long before it was broken. When a part of the toy was broken, it lost 2 inches of its length. So, the toy car is now 5 - 2 = <<5-2=3>>3 inches long. ### Answer: 3 inches
Expected answer: 3
Correct? Yes
Problem: Following up on the previous situation, Joe found another toy car that was initially 8 inches long. However, this toy car was also broken, and it lost a length equal to what the first toy car had left after it was broken. How many inches long is this second toy car now after it was broken?
Gemma 2B:
Reasoning: The first toy car was 3 inches long after it was broken. The second toy car was initially 8 inches long. When a part of the second toy car was broken, it lost a length equal to what the first toy car had left after it was broken, which is 3 inches. So, the second toy car is now 8 - 3 = <<8-3=5>>5 inches long. ### Answer: 5 inches
Expected answer: 5
Correct? Yes
Problem: Following up on the previous situation, Joe found another toy car that was initially 37 inches long. However, this toy car also lost 2 inches just like the first car. How many inches long is this third toy car now after it was broken?
Gemma 2B:
Reasoning: The third toy car was initially 37 inches long. When a part of the toy was broken, it lost 2 inches of its length. So, the third toy car is now 37 - 2 = <<37-2=35>>35 inches long. ### Answer: 35 inches
Expected answer: 35
Correct? Yes
Problem: A contractor is building a path and has 19 feet of concrete walkway laid down already. If he pours another 64 feet of concrete, how long will the path be in total?
Gemma 2B:
Reasoning: The contractor has already laid down 19 feet of concrete walkway, so the path is currently 19 feet long. If he pours another 64 feet of concrete, the path will be 19 + 64 = <<19+64=83>>83 feet long in total. ### Answer: 83 feet
Expected answer: 83
Correct? Yes
Problem: After the contractor finishes pouring the concrete to extend the pathway, he realizes he needs to shorten it by 22 feet to align with the garden border. How long would the pathway be after this adjustment?
Gemma 2B:
Reasoning: The contractor has already laid down 19 feet of concrete walkway, and he needs to shorten it by 22 feet to align with the garden border. So, the pathway will be 19 - 22 = <<19-22=-3>>-3 feet long after this adjustment. ### Answer: -3 feet
Expected answer: 61
Correct? No
Problem: After the adjustment, the contractor was asked to add 10 more feet of concrete to the pathway instead of the initial 64 feet that was poured. How long would the pathway be with this new adjustment?
Gemma 2B:
Reasoning: The contractor was asked to add 10 more feet of concrete to the pathway, so the total length of the pathway would be 83 + 10 = <<83+10=93>>93 feet long. ### Answer: 93 feet
Expected answer: 29
Correct? No
Problem: Tom has a roll of ribbon that measures 93 inches. He uses 47 inches of it to wrap a gift. How many inches of ribbon does Tom have left?
Gemma 2B:
Reasoning: Tom has 93 - 47 = <<93-47=46>>46 inches of ribbon left. ### Answer: 46 inches
Expected answer: 46
Correct? Yes
Problem: Tom uses another 16 inches of the remaining ribbon to make a bow for another gift. How many inches of the ribbon does Tom have left now?
Gemma 2B:
Reasoning: Tom has 46 - 16 = <<46-16=30>>30 inches of ribbon left. ### Answer: 30 inches
Expected answer: 30
Correct? Yes
Problem: Mike decided to build a fence around his property. He started off with a length of 82 feet of fencing material. Later, he bought another 2 feet at the hardware store. Finally, he borrowed an additional 10 feet of fencing material from his neighbor. What is the total length of the fencing material Mike had for his project?
Gemma 2B:
Reasoning: Mike started with 82 feet of fencing material and then bought 2 feet more, so he now has 82 + 2 = <<82+2=84>>84 feet of fencing material. Then, he borrowed 10 feet from his neighbor, so he now has 84 + 10 = <<84+10=94>>94 feet of fencing material. ### Answer: 94 feet
Expected answer: 94
Correct? Yes
Problem: After building the fence, Mike realizes that he needs to section off a part of his yard for a vegetable garden. He uses up all the original fencing he had (82 feet + 2 feet) for the main fence. How much fencing does he use for the vegetable garden if he ends up using all the fencing material he had in total, including the 10 feet he borrowed from his neighbor?
Gemma 2B:
Reasoning: Mike used up all the original fencing material he had (82 feet + 2 feet) for the main fence, so he has 82 + 2 = <<82+2=84>>84 feet of fencing material left. He also borrowed 10 feet from his neighbor, so he has 84 + 10 = <<84+10=94>>94 feet of fencing material in total. To find out how much fencing material Mike uses for the vegetable garden, we need to subtract the amount of fencing material he has left from the total amount of fencing material he has. 94 - 84 = <<94-84=10>>10 feet So, Mike uses 10 feet of fencing material for the vegetable garden. ### Answer: 10 feet
Expected answer: 10
Correct? Yes
Problem: Using the fencing for his property as a guide, Mike decided to build a smaller fence for his dog's play area. He started with 82 feet of fencing again, but this time, he added an extra 2 feet at the start. After checking the area, he decides he needs to add an extra 12 feet, instead of the 10 feet from the previous setup. How many feet of fencing will Mike need in total for the dog play area?
Gemma 2B:
Reasoning: Mike started with 82 feet of fencing and added an extra 2 feet at the start, so he now has 82 + 2 = <<82+2=84>>84 feet of fencing. Then, he decided to add an extra 12 feet, so he now has 84 + 12 = <<84+12=96>>96 feet of fencing. ### Answer: 96 feet
Expected answer: 96
Correct? Yes
Problem: Henry needs to build a fence around his backyard. One part of the fence is already 46 feet long. If he adds another section that is 23 feet long, how long will the entire fence be?
Gemma 2B:
Reasoning: The entire fence will be 46 feet + 23 feet = <<46+23=69>>69 feet long. ### Answer: 69 feet
Expected answer: 69
Correct? Yes
Problem: After building the fence, Henry realized that it was too long for his backyard. So, he decided to remove a section of the fence that is 24 feet long. How long is the fence now after removing that section?
Gemma 2B:
Reasoning: The fence is now 69 feet - 24 feet = <<69-24=45>>45 feet long. ### Answer: 45 feet
Expected answer: 45
Correct? Yes
Problem: Henry reevaluated his backyard and thought he had made a mistake with his initial measurements. Instead of adding a 23 feet long section to the 46 feet long part of the fence, he should have added a 22 feet long section. If he adjusts his fence according to this new measurement, how long will the entire fence be?
Gemma 2B:
Reasoning: The entire fence will be 46 feet + 22 feet = <<46+22=68>>68 feet long. ### Answer: 68 feet
Expected answer: 68
Correct? Yes
Problem: A construction worker is tasked with laying sections of pipe for a new plumbing line. The first part of the project requires him to lay 98 feet of pipe, but then he realizes he overestimated and removes 58 feet. Now, he needs to lay an additional 52 feet to complete the line. How long, in feet, will the plumbing line be when it's completed?
Gemma 2B:
Reasoning: 1. The first part of the project required the construction worker to lay 98 feet of pipe. 2. He then realized he overestimated and removed 58 feet. 3. To complete the line, he needs to lay an additional 52 feet. Total length of the plumbing line = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 = 98 - 58 + 52 =
Expected answer: 92
Correct? No
Problem: Bob's house is 94 km from the city. However, there is a shortcut that cuts the distance by 46 km. After taking the shortcut, Bob realizes that he still needs to drive an extra 37 km to reach his destination. What is the total distance Bob has to cover to reach his destination now?
Gemma 2B:
Reasoning: The total distance Bob has to cover to reach his destination now is the original distance minus the distance cut by the shortcut plus the extra distance he needs to drive. Original distance = 94 km Distance cut by shortcut = 46 km Extra distance to drive = 37 km Total distance = 94 - 46 + 37 = 135 km ### Answer: 135 km
Expected answer: 85
Correct? No
Problem: A builder has ordered 78 meters of metal beam for his construction project. If he already used 60 meters, how many meters of the beam are left to be utilized?
Gemma 2B:
Reasoning: The builder has already used 60 meters of the metal beam, so the remaining amount is 78 - 60 = <<78-60=18>>18 meters. ### Answer: 18 meters
Expected answer: 18
Correct? Yes
Problem: To strengthen the structure of the building, the builder decided he needed to double the length of the remaining beam. How many meters of the beam does he need now?
Gemma 2B:
Reasoning: The builder needs to double the length of the remaining beam, so he needs 18 meters x 2 = <<18*2=36>>36 meters of the beam. ### Answer: 36 meters
Expected answer: 36
Correct? Yes
Problem: If the builder initially ordered 78 meters of metal beam but used 42 meters instead of 60 meters for the construction project, how many meters of the beam would be left now?
Gemma 2B:
Reasoning: The builder initially ordered 78 meters of metal beam, but used 42 meters instead of 60 meters for the construction project. Therefore, the remaining amount is 78 - 42 = <<78-42=36>>36 meters. ### Answer: 36 meters
Expected answer: 36
Correct? Yes
Problem: A construction worker needs 32 feet of rebar to build a part of a building. After revising the design, he realizes that he needs to add 3 more feet of rebar. How many feet of rebar does he need in total after the revision?
Gemma 2B:
Reasoning: The construction worker initially needed 32 feet of rebar. After revising the design, he needs to add 3 more feet of rebar, so the total amount of rebar needed is 32 + 3 = <<32+3=35>>35 feet. ### Answer: 35 feet of rebar.
Expected answer: 35
Correct? Yes
Problem: After the construction worker figures out how much rebar he needs for one part of the building, he is assigned to build another portion that is identical to the first. How many feet of rebar does he need in total for both parts of the building?
Gemma 2B:
Reasoning: The construction worker initially needed 35 feet of rebar for one part of the building. Since the second part is identical, he needs the same amount of rebar, so the total amount of rebar needed for both parts is 35 + 35 = <<35+35=70>>70 feet. ### Answer: 70 feet of rebar.
Expected answer: 70
Correct? Yes
Problem: Now consider a different scenario: the construction worker initially needs 72 feet of rebar to build a part of the building. After revising the design, he realizes that he still needs to add 3 more feet of rebar. How many feet of rebar does he now need in total after this revision?
Gemma 2B:
Reasoning: The construction worker initially needed 72 feet of rebar. After revising the design, he still needs to add 3 more feet of rebar, so the total amount of rebar needed is 72 + 3 = <<72+3=75>>75 feet. ### Answer: 75 feet of rebar.
Expected answer: 75
Correct? Yes
Problem: John is building a fence around his garden. He has 75 meters of fencing already, but realizes he needs 3 more meters. How many meters of fencing does John need altogether to build his garden fence?
Gemma 2B:
Reasoning: John has 75 meters of fencing already, and he needs 3 more meters. Therefore, he needs a total of 75 + 3 = <<75+3=78>>78 meters of fencing. ### Answer: 78 meters of fencing.
Expected answer: 78
Correct? Yes
Problem: John initially thought he needed 75 meters of fencing for his garden, but when he measured again, he realized he only needed 16 meters. However, he still needed an extra 3 meters of fencing for the gate. How many meters of fencing does John need in total considering the new measurements?
Gemma 2B:
Reasoning: John initially thought he needed 75 meters of fencing, but he only needed 16 meters. He still needs an extra 3 meters of fencing for the gate. Therefore, he needs a total of 16 + 3 = <<16+3=19>>19 meters of fencing. ### Answer: 19 meters of fencing.
Expected answer: 19
Correct? Yes
Problem: Tom has 15 meters of rope. He then buys another 70 meters of rope. The next day, he adds another 2 meters of rope to what he already has. How many meters of rope does Tom have in total?
Gemma 2B:
Reasoning: Tom has 15 meters of rope. He then buys another 70 meters of rope, so he now has a total of 15 + 70 = <<15+70=85>>85 meters of rope. The next day, he adds another 2 meters of rope to what he already has, so he now has a total of 85 + 2 = <<85+2=87>>87 meters of rope. ### Answer: 87 meters of rope.
Expected answer: 87
Correct? Yes
Problem: Continuing from the previous problem, Tom decided to use 58 meters of the rope he had collected to make a fence for his garden. After using it, how many meters of rope does he have left?
Gemma 2B:
Reasoning: Tom had 87 meters of rope before using it to make a fence. He used 58 meters of it to make the fence, so he now has 87 - 58 = <<87-58=29>>29 meters of rope left. ### Answer: 29 meters of rope.
Expected answer: 29
Correct? Yes
Problem: Let's reconsider Tom's situation. Suppose that instead of buying an additional 70 meters of rope, Tom initially bought 40 meters of rope. Including the extra 2 meters of rope he added the next day, how many meters of rope does Tom have now?
Gemma 2B:
Reasoning: Tom initially bought 40 meters of rope. He then added 2 meters of rope the next day, so he now has a total of 40 + 2 = <<40+2=42>>42 meters of rope. ### Answer: 42 meters of rope.
Expected answer: 57
Correct? No
Problem: Liam is building a fence around his yard. He has already used 29 meters of fencing but needs to reduce it by 22 meters. After reducing, he discovers he needs an additional 71 meters of fencing to complete the job. How many meters of fencing will Liam need in total?
Gemma 2B:
Reasoning: Liam needs to reduce the fence by 22 meters, so he will have 29 - 22 = <<29-22=7>>7 meters of fencing left. To complete the job, Liam needs an additional 71 meters of fencing, so he will need a total of 7 + 71 = <<7+71=78>>78 meters of fencing. ### Answer: 78 meters of fencing.
Expected answer: 78
Correct? Yes
Problem: After building the fence, Liam decided to build a small shed in his yard too. For that, he had to reduce the total length of the fence by 26 meters to create space. How many meters of fencing does Liam have now after the reduction for the shed?
Gemma 2B:
Reasoning: After building the shed, Liam needs to reduce the total length of the fence by 26 meters to create space. So, he will have 78 - 26 = <<78-26=52>>52 meters of fencing left. ### Answer: 52 meters of fencing.
Expected answer: 52
Correct? Yes
Problem: In the original plan for his yard, Liam had intended to use only 28 meters of fencing, along with the adjusted amount from the reduction of the initial 29 meters by 22 meters. How many meters of fencing would Liam have needed if he had followed his original plan?
Gemma 2B:
Reasoning: Liam had originally planned to use 28 meters of fencing, but he needed to reduce it by 22 meters to account for the 29 meters he had already used. To find out how many meters of fencing Liam would have needed if he had followed his original plan, we can subtract the amount he reduced from the original amount: 28 - 22 = <<28-22=6>>6 meters of fencing. ### Answer: 6 meters of fencing.
Expected answer: 35
Correct? No
Problem: A truck driver has to travel 45 miles to get to his first delivery location. After that delivery, he has to travel another 45 miles to get to his second delivery location. How many miles does the truck driver travel in total?
Gemma 2B:
Reasoning: The truck driver travels 45 miles to get to his first delivery location, and then he travels another 45 miles to get to his second delivery location. The total distance the truck driver travels is the sum of the two distances: 45 + 45 = <<45+45=90>>90 miles. ### Answer: 90 miles
Expected answer: 90
Correct? Yes
Problem: John is competing in a triathlon. The swimming portion is 59 minutes long, but he finishes it 37 minutes. Then he starts the bike portion which is 58 minutes long, but he wants to finish it even faster than he did the swimming portion. How long does John have to finish the bike portion to achieve his goal?
Gemma 2B:
Reasoning: John finished the swimming portion in 37 minutes, which means he has 22 minutes left to finish the bike portion. If John wants to finish the bike portion even faster than he did the swimming portion, he needs to finish it in 22 minutes. ### Answer: 22 minutes
Expected answer: 36
Correct? No
Problem: During a school trip, Dan walked for 26 meters to visit a museum. After that, he walked an additional 65 meters to get to a park. How many total meters did Dan walk during his school trip?
Gemma 2B:
Reasoning: Dan walked 26 meters to visit the museum, and then he walked an additional 65 meters to get to the park. Dan walked a total of 26 + 65 = <<26+65=91>>91 meters during his school trip. ### Answer: 91 meters
Expected answer: 91
Correct? Yes
Problem: After visiting the museum and the park during his school trip, Dan decided to explore a little more and walked an additional 9 meters to reach a nearby souvenir shop. How many total meters did Dan walk during his whole trip?
Gemma 2B:
Reasoning: Dan walked 91 meters to visit the museum and the park, and then he walked an additional 9 meters to reach the souvenir shop. Dan walked a total of 91 + 9 = <<91+9=100>>100 meters during his whole trip. ### Answer: 100 meters
Expected answer: 100
Correct? Yes
Problem: In the previous problem, Dan walked for 26 meters to visit the museum, and an additional 65 meters to get to a park. However, suppose the park was only 15 meters away from the museum instead of 65 meters. In that case, how many total meters would Dan have needed to walk to get from the museum to the park?
Gemma 2B:
Reasoning: If the park was only 15 meters away from the museum, then Dan would have needed to walk an additional 15 meters to get to the park. Dan would have walked a total of 26 + 15 = <<26+15=41>>41 meters to get from the museum to the park. ### Answer: 41 meters
Expected answer: 41
Correct? Yes
Problem: Maria has a ribbon that is 43 cm long. She joins it with another ribbon that is 12 cm long. How long is the ribbon after Maria joins them together?
Gemma 2B:
Reasoning: Maria has a ribbon that is 43 cm long. She joins it with another ribbon that is 12 cm long. The total length of the ribbon after Maria joins them together is 43 + 12 = <<43+12=55>>55 cm. ### Answer: 55 cm
Expected answer: 55
Correct? Yes
Problem: After making the ribbon from the previous question, Maria realizes that she needs a longer ribbon for her project. So, she adds another piece of ribbon that is 32 cm long. How long is the ribbon now after Maria adds the third piece?
Gemma 2B:
Reasoning: Maria has a ribbon that is 55 cm long. She adds another piece of ribbon that is 32 cm long. The total length of the ribbon after Maria adds the third piece is 55 + 32 = <<55+32=87>>87 cm. ### Answer: 87 cm
Expected answer: 87
Correct? Yes
Problem: Suppose in the previous scenario, Maria only had a 7 cm long ribbon to start with instead of 43 cm. If she adds it to another ribbon that is 12 cm long, how long would the ribbon be then?
Gemma 2B:
Reasoning: Maria only had a 7 cm long ribbon to start with. She joins it with another ribbon that is 12 cm long. The total length of the ribbon after Maria joins them together is 7 + 12 = <<7+12=19>>19 cm. ### Answer: 19 cm
Expected answer: 19
Correct? Yes
Problem: The length of a park is 58 meters. To make the park bigger, the city council decided to add another 8 meters to its length. What will be the new length of the park?
Gemma 2B:
Reasoning: The new length of the park will be the original length plus the additional length added, which is 58 + 8 = <<58+8=66>>66 meters. ### Answer: 66 meters
Expected answer: 66
Correct? Yes
Problem: After extending the length of the park to 58 + 8 meters, the city council realizes that it will exceed the allowed land use if they use the entire length. The council needs to reduce the length by 41 meters to comply with the land use rules. What will be the final length of the park after it is reduced?
Gemma 2B:
Reasoning: The final length of the park after it is reduced will be the original length minus the amount that it exceeds the allowed land use, which is 58 + 8 - 41 = <<58+8-41=17>>17 meters. ### Answer: 17 meters
Expected answer: 25
Correct? No
Problem: To follow up on the park scenario, let's consider a different park. Initially, this park is 43 meters long. The city council decided to add another 8 meters to its length, similar to what they had planned earlier. What will be the new length of this park after the extension?
Gemma 2B:
Reasoning: The new length of the park will be the original length plus the additional length added, which is 43 + 8 = <<43+8=51>>51 meters. ### Answer: 51 meters
Expected answer: 51
Correct? Yes
Problem: The height of a bamboo plant in Jack's garden is 41 inches. He decided to prune it and reduced its height by 10 inches. What is the new height of the bamboo plant after pruning?
Gemma 2B:
Reasoning: The new height of the bamboo plant after pruning is 41 - 10 = <<41-10=31>>31 inches. ### Answer: 31 inches
Expected answer: 31
Correct? Yes
Problem: Originally, Jack’s bamboo plant was 41 inches tall. However, Jack realized that his bamboo plant would fit better in his garden if it was 29 inches shorter. How tall would the bamboo plant be after this additional pruning?
Gemma 2B:
Reasoning: Jack's bamboo plant was originally 41 inches tall. He decided to prune it by 10 inches, so it is now 31 inches tall. If he wants the bamboo plant to be 29 inches shorter, he needs to prune it by 21 inches. Therefore, the new height of the bamboo plant after this additional pruning is 31 - 21 = <<31-21=10>>10 inches. ### Answer: 10 inches
Expected answer: 12
Correct? No
Problem: Alice ran a total of 93 miles this past month to prepare for the upcoming marathon race. However, she knows that 78 of these miles were run on a paved road. How many miles did Alice run not on a paved road in the past month?
Gemma 2B:
Reasoning: Alice ran a total of 93 miles, and 78 of these miles were run on a paved road. Therefore, Alice ran 93 - 78 = <<93-78=15>>15 miles not on a paved road. ### Answer: 15 miles not on a paved road.
Expected answer: 15
Correct? Yes
Problem: Continuing from the previous scenario, if Alice aims to maintain at least 60 miles of running on non-paved roads for her training, how many more miles does she still need to run on non-paved roads to reach her aim for this month?
Gemma 2B:
Reasoning: Alice has already run 15 miles on non-paved roads, and she aims to maintain at least 60 miles of running on non-paved roads for her training. Therefore, she still needs to run 60 - 15 = <<60-15=45>>45 miles on non-paved roads to reach her aim for this month. ### Answer: 45 miles on non-paved roads.
Expected answer: 45
Correct? Yes
Problem: In the previous scenario, instead of 78 miles, let's say Alice only ran 52 miles on a paved road. Given this adjustment, how many miles did Alice now run not on a paved road in the past month?
Gemma 2B:
Reasoning: Alice ran a total of 93 miles, and 52 of these miles were run on a paved road. Therefore, Alice ran 93 - 52 = <<93-52=41>>41 miles not on a paved road. ### Answer: 41 miles not on a paved road.
Expected answer: 41
Correct? Yes
Problem: Tom is making a wooden table. The table needs to be 68 inches long, but Tom mistakenly cut the first piece so it is only 55 inches long. How many more inches does Tom need to add to the table to reach the desired length?
Gemma 2B:
Reasoning: To reach the desired length of 68 inches, Tom needs to add 68 - 55 = <<68-55=13>>13 inches to the table. ### Answer: 13 inches
Expected answer: 13
Correct? Yes
Problem: After making the table and adding the decorative strip, Tom realizes that he miscalculated the original desired length of the table. Instead of being 68 inches, the table should have been 71 inches long. Given that he first cut the wood to be 55 inches, by how many inches did he originally cut the wood short of the new desired length?
Gemma 2B:
Reasoning: To find the original shortage, we need to subtract the new desired length from the original desired length. Original desired length = 71 inches New desired length = 68 inches So, the original shortage = 71 - 68 = <<71-68=3>>3 inches. ### Answer: 3 inches
Expected answer: 16
Correct? No
Problem: Mary has a long strip of decorative paper that is 92 cm long. She cuts off a piece that is 14 cm long to make a bookmark. How long is the remaining piece of paper?
Gemma 2B:
Reasoning: Mary has a total of 92 cm of paper. She cuts off 14 cm of paper to make a bookmark, leaving her with 92 - 14 = <<92-14=78>>78 cm of remaining paper. ### Answer: 78 cm
Expected answer: 78
Correct? Yes
Problem: After cutting off the piece for a bookmark, Mary decides she needs to add another strip of paper to her leftover length. If she adds a strip that is 7 cm long, what will be the new total length of her paper?
Gemma 2B:
Reasoning: Mary has 78 cm of remaining paper. She adds a strip that is 7 cm long, so her new total length of paper is 78 + 7 = <<78+7=85>>85 cm. ### Answer: 85 cm
Expected answer: 85
Correct? Yes
Problem: In another project, Mary has a 29 cm long strip of decorative paper. If she cuts off the same length for a bookmark as she did last time (14 cm), how long is the remaining piece of paper now?
Gemma 2B:
Reasoning: Mary has a total of 29 cm of paper. She cuts off 14 cm of paper to make a bookmark, leaving her with 29 - 14 = <<29-14=15>>15 cm of remaining paper. ### Answer: 15 cm
Expected answer: 15
Correct? Yes
Problem: Peter is building a wooden bench for his garden. He has already cut a wooden plank of 45 inches and another one of 18 inches. What is the total length of the two wooden planks he has cut?
Gemma 2B:
Reasoning: The first wooden plank is 45 inches long, and the second one is 18 inches long. The total length of the two wooden planks is 45 + 18 = <<45+18=63>>63 inches. ### Answer: 63 inches.
Expected answer: 63
Correct? Yes
Problem: After building the bench, Peter realizes he needs an additional 11 inches of wood to add a backrest to the bench. What is the total length of the wood he needs to build the bench and the backrest?
Gemma 2B:
Reasoning: The total length of the wood needed to build the bench is 63 inches. To add a backrest, Peter needs an additional 11 inches of wood. The total length of the wood needed to build the bench and the backrest is 63 + 11 = <<63+11=74>>74 inches. ### Answer: 74 inches.
Expected answer: 74
Correct? Yes
Problem: If Peter had initially cut a wooden plank of 21 inches instead of 45 inches and another one of 18 inches, what would be the total length of the two wooden planks he cut?
Gemma 2B:
Reasoning: If Peter had initially cut a wooden plank of 21 inches instead of 45 inches, the total length of the two wooden planks he cut would be 21 + 18 = <<21+18=39>>39 inches. ### Answer: 39 inches.
Expected answer: 39
Correct? Yes
Problem: Tim is knitting a scarf that should measure 57 inches when complete. If he has already knit 23 inches, how many more inches does he need to knit to finish the scarf?
Gemma 2B:
Reasoning: To find out how many more inches Tim needs to knit, we need to subtract the number of inches he has already knit from the total length of the scarf. Total length of the scarf = 57 inches Inches knitted so far = 23 inches To find out how many more inches Tim needs to knit, we subtract the number of inches he has already knit from the total length of the scarf: 57 - 23 = 34 inches Therefore, Tim needs to knit 34 more inches to finish the scarf. ### Answer: 34 inches
Expected answer: 34
Correct? Yes
Problem: After correcting his mistake, Tim continued working on the scarf and has now knit 56 inches. How many more inches does he need to knit to finish the scarf, given that the total length should be 57 inches?
Gemma 2B:
Reasoning: To find out how many more inches Tim needs to knit, we need to subtract the number of inches he has already knit from the total length of the scarf. Total length of the scarf = 57 inches Inches knitted so far = 56 inches To find out how many more inches Tim needs to knit, we subtract the number of inches he has already knit from the total length of the scarf: 57 - 56 = 1 inch Therefore, Tim needs to knit 1 more inch to finish the scarf. ### Answer: 1 inch
Expected answer: 1
Correct? Yes
Problem: Alex decided to build a 98 meter long walking path in his backyard. He has already built 52 meters of the path. How many more meters does Alex need to build to complete the path?
Gemma 2B:
Reasoning: To find out how many more meters Alex needs to build, we need to subtract the number of meters he has already built from the total length of the path. Total length of the path = 98 meters Number of meters already built = 52 meters Number of meters left to build = Total length of the path - Number of meters already built = 98 meters - 52 meters = 46 meters Therefore, Alex needs to build 46 meters more to complete the path. ### Answer: 46 meters
Expected answer: 46
Correct? Yes
Problem: After expanding his walking path, Alex was considering reducing his original walking path from 98 meters to a length of 13 meters less than before. If he does it, how long would the walking path be?
Gemma 2B:
Reasoning: To find the new length of the walking path, we need to subtract the number of meters Alex wants to reduce the path by from the original length of the path. Original length of the path = 98 meters Number of meters Alex wants to reduce the path by = 13 meters New length of the path = Original length of the path - Number of meters Alex wants to reduce the path by = 98 meters - 13 meters = 85 meters Therefore, the new length of the walking path would be 85 meters. ### Answer: 85 meters
Expected answer: 85
Correct? Yes
Problem: A construction project initially intended to build a road with a length of 58 kilometers. However, to protect a wildlife preserve, plans were adjusted and 32 kilometers of the proposed length are no longer being constructed. What is the revised length of the road?
Gemma 2B:
Revised length of the road = Original length - 32 kilometers = 58 kilometers - 32 kilometers = 26 kilometers ### Answer: 26 kilometers
Expected answer: 26
Correct? Yes
Problem: What if the original plan for the road length was still 58 kilometers, but this time, in response to resident requests, only 12 kilometers were removed from the construction? What would be the revised length of the road under this new plan?
Gemma 2B:
Revised length of the road = Original length - 12 kilometers = 58 kilometers - 12 kilometers = 46 kilometers ### Answer: 46 kilometers
Expected answer: 46
Correct? Yes
Problem: A tailor is making a costume for a theater play. He uses 15 meters of fabric to make the trousers and 80 more meters to make the coat. How many meters of fabric did the tailor use in total?
Gemma 2B:
Reasoning: The tailor used 15 meters of fabric to make the trousers and 80 meters to make the coat. Therefore, the total amount of fabric used by the tailor is 15 + 80 = <<15+80=95>>95 meters. ### Answer: 95 meters
Expected answer: 95
Correct? Yes
Problem: After the tailor finished making the costume, he realized that he needed to shorten some parts of the coat. He ended up removing 71 meters of fabric from it. How many meters of fabric remained in the finished costumes?
Gemma 2B:
Reasoning: The tailor used 95 meters of fabric to make the costume. He removed 71 meters of fabric from the coat. Therefore, the remaining fabric in the finished costume is 95 - 71 = <<95-71=24>>24 meters. ### Answer: 24 meters
Expected answer: 24
Correct? Yes
Problem: George is building a fence around his yard. He has already installed 17 meters of the fence and he still has 77 meters to go before completion. How many meters of fence in total will George install around his yard?
Gemma 2B:
Reasoning: George has already installed 17 meters of the fence, so he still needs to install 77 - 17 = <<77-17=60>>60 meters of fence. Therefore, George will install a total of 17 + 60 = <<17+60=77>>77 meters of fence around his yard. ### Answer: 77 meters
Expected answer: 94
Correct? No
Problem: Sarah is making a scarf that she wants to be 77 inches long. If she has already knit 14 inches, how much more does she need to knit to finish her scarf?
Gemma 2B:
Reasoning: To find out how much more Sarah needs to knit, we need to subtract the amount she has already knit (14 inches) from the total length of the scarf (77 inches). 77 inches - 14 inches = <<77-14=63>>63 inches So, Sarah needs to knit 63 inches more to finish her scarf.
Expected answer: 63
Correct? Yes
Problem: Joshua has extended his bamboo fence by 14 feet. If the original length of the fence was 49 feet, how long is Joshua's bamboo fence now?
Gemma 2B:
Reasoning: Joshua extended his bamboo fence by 14 feet, so the new length of the fence is 49 + 14 = <<49+14=63>>63 feet. ### Answer: 63 feet
Expected answer: 63
Correct? Yes
Problem: After extending his bamboo fence, Joshua decided to shorten it a bit and ended up reducing its length by 18 feet. What is the final length of Joshua's bamboo fence now?
Gemma 2B:
Reasoning: Joshua shortened his bamboo fence by 18 feet, so the new length of the fence is 63 - 18 = <<63-18=45>>45 feet. ### Answer: 45 feet
Expected answer: 45
Correct? Yes
Problem: George is working on a landscaping project. He initially plants a row of bushes that stretches 85 feet. However, he decided to remove a section that is 58 feet long. After that, he thinks about adding another row adjacent to the current one that is 56 feet. What will be the total length of the planted bushes once George adds the new row?
Gemma 2B:
Reasoning: 1. The initial row of bushes is 85 feet long. 2. George removed a section that is 58 feet long. 3. The remaining length of the initial row is 85 - 58 = 27 feet. 4. George plans to add a new row that is 56 feet long. 5. The total length of the planted bushes after adding the new row will be the sum of the initial row and the new row: 27 + 56 = 83 feet. ### Answer: 83 feet.
Expected answer: 83
Correct? Yes
Problem: Let's consider that George initially planted a row of bushes that was 85 feet, but he later decided to change the section he removes to be 55 feet long, not 58 feet as before. If he still plans to add another row adjacent to the current one that is 56 feet long, what will be the total length of the planted bushes?
Gemma 2B:
Reasoning: 1. The initial row of bushes is 85 feet long. 2. George changed the length of the section he removes to 55 feet. 3. The remaining length of the initial row is 85 - 55 = 30 feet. 4. George plans to add a new row that is 56 feet long. 5. The total length of the planted bushes after adding the new row will be the sum of the initial row and the new row: 30 + 56 = 86 feet. ### Answer: 86 feet.
Expected answer: 86
Correct? Yes
Problem: John has two pieces of wood. The first piece is 51 inches long and the second piece is 45 inches long. He cuts the shorter length from the longer one. Then he adds a piece that is 40 inches long to the remaining length. What is the new total length of wood that John has?
Gemma 2B:
Reasoning: Let's call the longer piece of wood "A" and the shorter piece of wood "B". A = 51 inches B = 45 inches John cuts the shorter length from the longer one, so the new length of A is: A = 51 - 45 = 6 inches Then, John adds a piece that is 40 inches long to the remaining length of A, so the new total length of wood that John has is: A + B = 6 + 40 = 46 inches ### Answer: 46 inches
Expected answer: 46
Correct? Yes
Problem: John realizes that he needs more wood for his project. After finding a piece of wood that is 6 inches long in his garage, he decides to add this to his existing length of wood. What is the total length of wood that John now has?
Gemma 2B:
Reasoning: Let's call the total length of wood that John has before adding the new piece "A". A = 46 inches John adds a piece of wood that is 6 inches long, so the new total length of wood that John has is: A + B = 46 + 6 = 52 inches ### Answer: 52 inches
Expected answer: 52
Correct? Yes
Problem: A soccer field is 55 meters long. However, the field is currently only usable up to 27 meters due to maintenance works. How many meters of the field cannot be used?
Gemma 2B:
Reasoning: The field is 55 meters long, and it is currently usable up to 27 meters due to maintenance works. Therefore, the field cannot be used for the remaining 28 meters. ### Answer: 28 meters
Expected answer: 28
Correct? Yes
Problem: After the big game, the soccer field was reduced back to its original size. But this time only 31 meters of the field could be used due to new maintenance works. How many meters of the field can't be used now?
Gemma 2B:
Reasoning: The field was reduced back to its original size, which is 55 meters long. However, only 31 meters of the field can be used due to new maintenance works. Therefore, the field cannot be used for the remaining 24 meters. ### Answer: 24 meters
Expected answer: 24
Correct? Yes
Problem: John built a wooden shelf that was 4 feet long. He decided to add another section to it, making it 11 feet longer. How long is the wooden shelf now?
Gemma 2B:
Reasoning: John added 11 feet to the original length of 4 feet, so the new length is 4 + 11 = <<4+11=15>>15 feet. ### Answer: 15 feet
Expected answer: 15
Correct? Yes
Problem: John built a wooden shelf that was 4 feet long. He decided to add another section to it, making it 11 feet longer. Then, John decided to build a wooden fence around his garden. The wooden fence was 83 feet long. How many feet did John work with in total for the shelf and the fence combined?
Gemma 2B:
Reasoning: John worked with 15 feet for the shelf and 83 feet for the fence, so the total number of feet he worked with is 15 + 83 = <<15+83=98>>98 feet. ### Answer: 98 feet
Expected answer: 98
Correct? Yes
Problem: John originally built a wooden shelf that was 12 feet long before adding an additional section to it. This additional section made it 11 feet longer. Now, how long is John's wooden shelf?
Gemma 2B:
Reasoning: John's original shelf was 12 feet long, and he added 11 feet to make it 12 + 11 = <<12+11=23>>23 feet long. ### Answer: 23 feet
Expected answer: 23
Correct? Yes
Problem: The length of a farm is 36 meters. A farmer wants to expand this area by extending the length by 10 more meters. What will be the total length of the farm after expansion?
Gemma 2B:
Reasoning: The farmer wants to extend the length of the farm by 10 meters. Therefore, the new length of the farm will be the original length plus the additional length, which is 36 + 10 = 46 meters. ### Answer: 46 meters
Expected answer: 46
Correct? Yes
Problem: In addition to the expansion, the farmer now considers adding a fence that includes an extra 14 meters to accommodate a gate and some additional space. What will be the total length of the farm, including the fence, after all the expansions?
Gemma 2B:
Reasoning: The farmer wants to add a fence that includes an extra 14 meters to accommodate a gate and some additional space. Therefore, the new length of the farm with the fence will be the original length plus the additional length of the fence, which is 46 + 14 = 60 meters. ### Answer: 60 meters
Expected answer: 60
Correct? Yes
Problem: Let's say the farmer initially miscalculated the starting length of the farm, which was actually 56 meters instead of 36 meters. If he still wants to expand this area by extending 10 more meters, what would now be the total length of the farm?
Gemma 2B:
Reasoning: The farmer initially miscalculated the starting length of the farm, which was actually 56 meters instead of 36 meters. Therefore, the new length of the farm will be the original length plus the additional length, which is 56 + 10 = 66 meters. ### Answer: 66 meters
Expected answer: 66
Correct? Yes
Problem: Jacob is attempting to build a 79-foot long fence around his backyard. He has currently built 42 feet of the fence. How many more feet does Jacob need to build to complete the fence?
Gemma 2B:
Reasoning: Jacob needs to build 79 - 42 = <<79-42=37>>37 feet more to complete the fence. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: After building the fence around his backyard, Jacob decided to add a 12-foot gate to the fence for easier access. What is the total length of the fence including the gate?
Gemma 2B:
Reasoning: The total length of the fence including the gate is the original length of the fence (79 feet) plus the length of the gate (12 feet). Total length = 79 + 12 = <<79+12=91>>91 feet. ### Answer: 91
Expected answer: 49
Correct? No
Problem: Let's consider that Jacob originally planned to build a 79-foot fence. However, he made a mistake in his measurements and only needs to build a 43-foot fence. How many feet of fencing does Jacob need to subtract from his original plan?
Gemma 2B:
Reasoning: Jacob originally planned to build a 79-foot fence, but he only needs to build a 43-foot fence. To find the difference, we subtract the actual length from the original plan: 79 - 43 = <<79-43=36>>36 feet. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Travis buys two cassette tapes that are 19 inches and 62 inches long respectively. Realizing that he needs more tape to finish his work, he buys an additional cassette tape that is 6 inches long. How long, in inches, are all the cassette tapes combined that Travis bought?
Gemma 2B:
Reasoning: Let's call the length of the first cassette tape x. Let's call the length of the second cassette tape y. Let's call the length of the third cassette tape z. We know that x + y = 19 + 62 = 81 inches. We also know that z = 6 inches. So, the total length of all the cassette tapes combined is x + y + z = 81 + 6 = 87 inches. ### Answer: 87 inches.
Expected answer: 87
Correct? Yes
Problem: After buying the cassette tapes, Travis uses 42 inches of tape for one of his audio project. How many inches of tape does he have left after finishing his audio project?
Gemma 2B:
Reasoning: Let's call the length of the first cassette tape x. Let's call the length of the second cassette tape y. Let's call the length of the third cassette tape z. We know that x + y + z = 87 inches. We also know that Travis uses 42 inches of tape for one of his audio projects. So, the amount of tape Travis has left after finishing his audio project is x + y + z - 42 = 87 - 42 = 45 inches. ### Answer: 45 inches.
Expected answer: 45
Correct? Yes
Problem: After reviewing his purchases, Travis realized that he made a mistake and one of the cassette tapes that he thought was 62 inches long was actually only 29 inches long. With the additional 6 inches long cassette tape, how long, in inches, are all the cassette tapes combined that Travis actually bought?
Gemma 2B:
Reasoning: Let's call the length of the first cassette tape x. Let's call the length of the second cassette tape y. Let's call the length of the third cassette tape z. We know that x + y = 19 + 62 = 81 inches. We also know that z = 6 inches. We can now calculate the total length of all the cassette tapes combined: x + y + z = 81 + 6 = 87 inches. However, we have discovered that one of the cassette tapes is actually only 29 inches long, so we need to subtract that from the total length: x + y + z - 29 = 87 - 29 = 58 inches. So, all the cassette tapes combined that Travis actually bought are 58 inches long. ### Answer: 58 inches.
Expected answer: 54
Correct? No
Problem: The length of a park is 21 meters and the width is 45 meters. A jogging track is to be built around the park that is an additional 15 meters longer than the combined length and width of the park. How long will the jogging track be?
Gemma 2B:
Reasoning: The combined length and width of the park is 21 + 45 = 66 meters. The jogging track will be 15 meters longer than this, so it will be 66 + 15 = 81 meters long. ### Answer: 81 meters
Expected answer: 81
Correct? Yes
Problem: The park's length is 21 meters, and the width is 45 meters. An additional jogging track is to be built around the park, which is 15 meters longer than the combined length and width of the park. After completing the jogging track, the city plans to build a bike track around the jogging track. If the total length available for the bike track is 90 meters, how much shorter would the bike track be compared to the available space?
Gemma 2B:
Reasoning: The combined length and width of the park is 21 + 45 = 66 meters. The jogging track will be 15 meters longer than this, so it will be 66 + 15 = 81 meters long. The bike track will be built around the jogging track, so it will be 90 - 81 = 9 meters shorter than the available space. ### Answer: 9 meters
Expected answer: 9
Correct? Yes
Problem: The original length of the park was 21 meters, but the city decided to shrink it down to 11 meters while keeping the width at 45 meters. They still aim to add a jogging track around the park, which will be 15 meters longer than the combined new length and width. How long will the new jogging track be?
Gemma 2B:
Reasoning: The new length of the park is 11 meters, and the width is still 45 meters. The combined length and width of the park is 11 + 45 = 56 meters. The jogging track will be 15 meters longer than this, so it will be 56 + 15 = 71 meters long. ### Answer: 71 meters
Expected answer: 71
Correct? Yes
Problem: At a construction site, a worker needs to cut a 15 feet piece of lumber. After the first cut, he realizes he needs an additional piece that is 13 feet long. How long is the total length of the lumber he needs?
Gemma 2B:
Reasoning: The first piece of lumber is 15 feet long, and the additional piece is 13 feet long. The total length of the lumber needed is 15 + 13 = <<15+13=28>>28 feet. ### Answer: 28 feet
Expected answer: 28
Correct? Yes
Problem: After cutting the 15 feet piece of lumber and the additional 13 feet piece, the worker discovers a third part of the construction project which needs 7 more feet of lumber. What is the total length of the lumber the worker needs for the complete project?
Gemma 2B:
Reasoning: The worker already has 15 + 13 = <<15+13=28>>28 feet of lumber. The additional 7 feet of lumber needed for the third part of the project is 28 + 7 = <<28+7=35>>35 feet. ### Answer: 35 feet
Expected answer: 35
Correct? Yes
Problem: Suppose instead of an additional 13 feet, the worker realized that he actually needed an additional piece of lumber that is 59 feet long after cutting the first 15 feet piece. What is the total length of the lumber he now needs?
Gemma 2B:
Reasoning: The first piece of lumber is 15 feet long, and the additional piece is 59 feet long. The total length of the lumber needed is 15 + 59 = <<15+59=74>>74 feet. ### Answer: 74 feet
Expected answer: 74
Correct? Yes
Problem: A bricklayer has a stack of bricks that are each 10 inches long. If he adds another brick that is 9 inches long to the stack, what will be the total lengths of the bricks in inches?
Gemma 2B:
Reasoning: The bricklayer has a stack of bricks that are each 10 inches long, so the total length of the stack is 10 x 48 = <<10 x 48=480>>480 inches. If he adds another brick that is 9 inches long to the stack, the total length of the stack will be 480 + 9 = <<480 + 9=489>>489 inches. ### Answer: 489 inches.
Expected answer: 19
Correct? No
Problem: A train travels 82 kilometers before making a stop. After the stop, it travels another 14 kilometers. How many total kilometers does the train travel?
Gemma 2B:
Reasoning: The train travels 82 kilometers before making a stop, so it has traveled a total of 82 kilometers. After the stop, it travels another 14 kilometers, so it has traveled a total of 82 + 14 = 96 kilometers. ### Answer: 96 kilometers
Expected answer: 96
Correct? Yes
Problem: If the train had initially traveled a distance of only 19 kilometers before making a stop instead of 82 kilometers, and it still traveled an additional 14 kilometers after the stop, how many total kilometers would the train have traveled then?
Gemma 2B:
Reasoning: If the train had initially traveled a distance of 19 kilometers before making a stop, it would have traveled a total of 19 + 14 = 33 kilometers. ### Answer: 33 kilometers
Expected answer: 33
Correct? Yes
Problem: There is a park measuring 79 meters in length from the entrance to the end. If a certain pathway extends 21 meters inward from the entrance gate, what is the remaining length of the park from the end of the pathway to the park's end?
Gemma 2B:
Reasoning: The pathway extends 21 meters inward from the entrance gate, so the remaining length of the park from the end of the pathway to the park's end is 79 - 21 = <<79-21=58>>58 meters. ### Answer: 58 meters
Expected answer: 58
Correct? Yes
Problem: Continuing from the first problem, let's say the pathway from the entrance gate was not 21 meters but now only extends into the park by 21 meters, what is the new remaining length of the park from the end of the pathway to the park's end given that the total length of the park is now reduced to 51 meters?
Gemma 2B:
Reasoning: The pathway now extends into the park by 21 meters, so the remaining length of the park from the end of the pathway to the park's end is 51 - 21 = <<51-21=30>>30 meters. ### Answer: 30 meters
Expected answer: 30
Correct? Yes
Problem: A farmer has a field that is 48 meters long. If he plans to plant crops in 29 meters of it, how many meters does he have left for other usage?
Gemma 2B:
Reasoning: The farmer has a field that is 48 meters long. If he plans to plant crops in 29 meters of it, he will have 48 - 29 = <<48-29=19>>19 meters left for other usage. ### Answer: 19 meters
Expected answer: 19
Correct? Yes
Problem: Continuing from the previous situation, what if the farmer's original field was 46 meters long instead of 48 meters as initially thought? Given that he still planted crops in 29 meters of it, how many meters does he now have left for other usage?
Gemma 2B:
Reasoning: The farmer's original field was 46 meters long, and he still planted crops in 29 meters of it. Therefore, he has 46 - 29 = <<46-29=17>>17 meters left for other usage. ### Answer: 17 meters
Expected answer: 17
Correct? Yes