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?
Mixtral 8x22B:
Reasoning: Mrs. Johnson needs 81-50 = <<81-50=31>>31 more inches of fabric to finish the quilt. ### Answer: 31
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?
Mixtral 8x22B:
Reasoning: Mrs. Johnson needs 81 (initial quilt) + 55 (border) = <<81+55=136>>136 inches of fabric in total. ### Answer: 136
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?
Mixtral 8x22B:
Reasoning: Mrs. Johnson needs 81-73 = <<81-73=8>>8 inches less fabric than originally planned. ### Answer: 8
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?
Mixtral 8x22B:
Reasoning: Fred has already put up 44 feet of the fence and needs another 4 feet to complete it. So, Fred will need 44+4 = <<44+4=48>>48 feet of fencing in total. ### Answer: 48
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?
Mixtral 8x22B:
Reasoning: Fred originally built his garden fence with a total length of 44 feet and wants to extend it by another 25 feet. So, Fred will need 44+25 = <<44+25=69>>69 feet of fencing in total for this expanded garden. ### Answer: 69
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?
Mixtral 8x22B:
Reasoning: The builder has already built 39 meters of the wall, so he needs to build 95 - 39 = <<95-39=56>>56 more meters 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?
Mixtral 8x22B:
Reasoning: The builder has 95 - 39 = <<95-39=56>>56 meters of material left from the first wall. He needs to build a 72-meter wall, so he needs 72 - 56 = <<72-56=16>>16 more meters 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?
Mixtral 8x22B:
Reasoning: The builder has already built 39 meters of the 40-meter wall, so he needs to build 40 - 39 = <<40-39=1>>1 more meter 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?
Mixtral 8x22B:
Reasoning: Mia gave away 79-68 = <<79-68=11>>11 meters of string to her friend. Mia then bought an additional 19 meters of string, so she has 11+19 = <<11+19=30>>30 meters of string now. ### Answer: 30
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?
Mixtral 8x22B:
Reasoning: Mia currently has 30 meters of string. To reach her goal of 51 meters, she needs to buy 51-30 = <<51-30=21>>21 more meters of string. ### Answer: 21
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?
Mixtral 8x22B:
Reasoning: Mia gave away 79-68 = <<79-68=11>>11 meters of string to her friend. Mia then bought an additional 61 meters of string, so she has 11+61 = <<11+61=72>>72 meters of string now. ### Answer: 72
Expected answer: 72
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: David needs 54 - 33 = <<54-33=21>>21 more inches of fabric to complete his blanket. ### Answer: 21
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?
Mixtral 8x22B:
Reasoning: David now needs 69 - 33 = <<69-33=36>>36 more inches of fabric to complete his blanket. ### Answer: 36
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?
Mixtral 8x22B:
Reasoning: Hank has already dug a 62 feet long tunnel. He needs to dig 82-62 = <<82-62=20>>20 more feet to reach his planned length. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: After figuring out how many more feet Hank needs to dig to reach the planned length of his tunnel, he decides to expand the tunnel by an additional 22 feet to make it more spacious. How many feet in total does Hank now need to dig to very the new planned length for his tunnel?
Mixtral 8x22B:
Reasoning: Hank needs to dig 20 more feet to reach his original planned length of 82 feet. He also wants to expand the tunnel by an additional 22 feet. So, the new planned length of the tunnel is 82+22 = <<82+22=104>>104 feet. Hank has already dug 62 feet, so he needs to dig 104-62 = <<104-62=42>>42 more feet to reach the new planned length. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: If instead of 62 feet, Hank had initially been able to dig only 42 feet of the 82 feet long planned tunnel, how many more feet would he now need to dig to reach his originally planned length?
Mixtral 8x22B:
Reasoning: Hank has already dug a 42 feet long tunnel. He needs to dig 82-42 = <<82-42=40>>40 more feet to reach his planned length. ### Answer: 40
Expected answer: 40
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?
Mixtral 8x22B:
Reasoning: The craftsman needs to combine the two pieces to find the total length of the table. The total length of the table is 43 + 36 = <<43+36=79>>79 inches. ### Answer: 79 inches
Expected answer: 79
Correct? Yes
Problem: The craftsman realizes that the dining table is too long for the dining area. He decides to trim it by 35 inches. How long will the table be after it has been trimmed?
Mixtral 8x22B:
Reasoning: The craftsman needs to subtract the amount he is trimming from the total length of the table. The table will be 79 - 35 = <<79-35=44>>44 inches long after it has been trimmed. ### Answer: 44 inches
Expected answer: 44
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?
Mixtral 8x22B:
Reasoning: John needs 74 + 6 = <<74+6=80>>80 feet of rope in total. ### Answer: 80
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?
Mixtral 8x22B:
Reasoning: John used 80 feet of rope for his project. John is now 94 - 80 = <<94-80=14>>14 feet away from the workshop. ### Answer: 14
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?
Mixtral 8x22B:
Reasoning: John needs 92 + 6 = <<92+6=98>>98 feet of rope in total. ### Answer: 98
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?
Mixtral 8x22B:
Reasoning: David initially cuts the string into 14 equal pieces. After removing one piece, he has 14-1 = <<14-1=13>>13 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?
Mixtral 8x22B:
Reasoning: David has 39 pieces from his current project. He also has 13 pieces left from his previous project. So, David has 39+13 = <<39+13=52>>52 pieces of string now. ### 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?
Mixtral 8x22B:
Reasoning: David initially cuts the string into 86 equal pieces. After removing one piece, he has 86-1 = <<86-1=85>>85 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?
Mixtral 8x22B:
Reasoning: The contractor cut the first piece to be 66 feet long. The remaining piece was then accidentally cut into a 19 feet piece. Therefore, the remaining piece before the accidental cut was 66 + 19 = <<66+19=85>>85 feet long. The total length of the initially uncut timber piece was 66 + 85 = <<66+85=151>>151 feet. ### Answer: 151
Expected answer: 85
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?
Mixtral 8x22B:
Reasoning: Daniel has already built 36 feet of the fence and needs another 7 feet to complete it. So, Daniel needs 36+7 = <<36+7=43>>43 feet of fencing in total to complete his backyard fence. ### Answer: 43
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?
Mixtral 8x22B:
Reasoning: Daniel has already built 43 feet of fencing for his backyard. He plans to build the front yard fence with the same length as the backyard one. So, Daniel needs 43+43 = <<43+43=86>>86 feet of fencing in total for both his front and back yard. ### Answer: 86
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?
Mixtral 8x22B:
Reasoning: Daniel now needs 8 feet of fencing for his front yard instead of 36 feet, and still needs an additional 7 feet. So, Daniel needs 8+7 = <<8+7=15>>15 feet of fencing in total to build the fence for his front yard. ### Answer: 15
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?
Mixtral 8x22B:
Reasoning: The difference in length between the two pitches is 76 - 64 = <<76-64=12>>12 yards. ### Answer: 12 yards
Expected answer: 12
Correct? Yes
Problem: The cricket club further adjusts the length of its pitch and manages to extend it from 51 yards to 72 yards. However, the standard pitch length in cricket is 76 yards. How many more yards does the club need to extend to finally meet the standard length?
Mixtral 8x22B:
Reasoning: The difference between the club's current pitch length and the standard length is 76 - 72 = <<76-72=4>>4 yards. ### Answer: 4 yards
Expected answer: 4
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?
Mixtral 8x22B:
Reasoning: Jake cut off 5 meters from his original 67 meters, leaving him with 67-5 = <<67-5=62>>62 meters of string. He then bought an additional 35 meters of string, so now he has 62+35 = <<62+35=97>>97 meters of string. ### Answer: 97
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?
Mixtral 8x22B:
Reasoning: Jake used 22 meters of his 97 meters of string to make a hammock, leaving him with 97-22 = <<97-22=75>>75 meters of string. ### Answer: 75
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?
Mixtral 8x22B:
Reasoning: Jake cut off 28 meters from his original 67 meters, leaving him with 67-28 = <<67-28=39>>39 meters of string. He then bought an additional 35 meters of string, so now he has 39+35 = <<39+35=74>>74 meters of string. ### Answer: 74
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?
Mixtral 8x22B:
Reasoning: The builder has built 2 feet of the fence, so there are 92-2 = <<92-2=90>>90 feet of the fence remaining to be built. ### Answer: 90
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?
Mixtral 8x22B:
Reasoning: The builder has built 2 feet of the fence, so there are 62-2 = <<62-2=60>>60 feet of the fence remaining to be built. ### Answer: 60
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?
Mixtral 8x22B:
Reasoning: The total length of the foundation is 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?
Mixtral 8x22B:
Reasoning: The final length of the foundation will be 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?
Mixtral 8x22B:
Reasoning: The total length of the foundation is 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?
Mixtral 8x22B:
Reasoning: Susan initially had 78 inches of yarn. She used 38 inches of yarn. So, Susan still has 78 - 38 = <<78-38=40>>40 inches of yarn left. ### Answer: 40
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?
Mixtral 8x22B:
Reasoning: Susan initially had 62 inches of yarn. She used 38 inches of yarn. So, Susan would have been left with 62 - 38 = <<62-38=24>>24 inches of yarn. ### Answer: 24
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?
Mixtral 8x22B:
Reasoning: The contractor initially lays down 31+45 = <<31+45=76>>76 meters of plumbing pipes. After re-routing, he saves 22 meters, so the final length of plumbing pipes used is 76-22 = <<76-22=54>>54 meters. ### Answer: 54
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?
Mixtral 8x22B:
Reasoning: The contractor initially had 76 meters of plumbing pipes. After re-routing, he saved 22 meters, leaving him with 76-22 = <<76-22=54>>54 meters. After using 11 meters for the garden water line, he has 54-11 = <<54-11=43>>43 meters of plumbing pipes remaining. ### Answer: 43
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?
Mixtral 8x22B:
Reasoning: The contractor initially lays down 10+45 = <<10+45=55>>55 meters of plumbing pipes. After re-routing, he saves 22 meters, so the final length of plumbing pipes used is 55-22 = <<55-22=33>>33 meters. Adding a separate water line for the garden, the total length of plumbing pipes used is 33+15 = <<33+15=48>>48 meters. ### Answer: 48
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?
Mixtral 8x22B:
Reasoning: Peter's original rope is 21 feet long. He adds an extra foot to it, so the new length of the rope is 21+1 = <<21+1=22>>22 feet. ### Answer: 22
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?
Mixtral 8x22B:
Reasoning: Peter originally had a 67 foot long rope. He used some of it for other projects, and now he has a 21 foot long rope left. He extends this rope with an extra foot, making it 22 feet long. To find out how much of the original rope he has left, we subtract the length of the extended rope from the original length: 67 - 22 = <<67-22=45>>45 feet. ### Answer: 45
Expected answer: 45
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Peter's original rope is 21 feet long. He adds a 79 foot long piece of rope to it, so the new length of the rope is 21+79 = <<21+79=100>>100 feet. ### Answer: 100
Expected answer: 100
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Jacob shortened one end of the garden 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?
Mixtral 8x22B:
Reasoning: The walkway will be 14 feet longer than the length of the garden, so the length of the walkway will be 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?
Mixtral 8x22B:
Reasoning: Stanley's original aquarium is 16 inches long. He adds a new section that is 35 inches long. The total length of the aquarium will be 16+35 = <<16+35=51>>51 inches. ### Answer: 51 inches
Expected answer: 51
Correct? Yes
Problem: Stanley has a space in his living room that is 84 inches long where he wants to place his expanded aquarium. If the current length of the aquarium with the new section is a total of 16 inches plus 35 inches, how much space is left in the living room after he places his expanded aquarium?
Mixtral 8x22B:
Reasoning: Stanley's expanded aquarium is 16+35 = <<16+35=51>>51 inches long. The space in his living room is 84 inches long. The space left in the living room after placing the aquarium will be 84-51 = <<84-51=33>>33 inches. ### Answer: 33 inches
Expected answer: 33
Correct? Yes
Problem: Originally, Stanley's aquarium was 37 inches long instead of 16 inches. If he still adds a larger section which is 35 inches long, how long will his new aquarium be in total with this added length?
Mixtral 8x22B:
Reasoning: Stanley's original aquarium is now 37 inches long. He adds a new section that is 35 inches long. The total length of the aquarium will be 37+35 = <<37+35=72>>72 inches. ### Answer: 72 inches
Expected answer: 72
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?
Mixtral 8x22B:
Reasoning: The construction company laid 3 Km + 62 Km = <<3+62=65>>65 Km of road 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?
Mixtral 8x22B:
Reasoning: The construction company laid 3 Km + 62 Km = <<3+62=65>>65 Km of road in the first two days. The company decided to add an extra 2 Km stretch of road to the design plan, so the total length of the road to be laid is 65 Km + 2 Km = <<65+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?
Mixtral 8x22B:
Reasoning: The construction company laid 2 Km + 62 Km = <<2+62=64>>64 Km of road in total over the two days. ### 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?
Mixtral 8x22B:
Reasoning: 37 feet + 21 feet = <<37+21=58>>58 feet of steel rods are used in total for the construction project. ### Answer: 58
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?
Mixtral 8x22B:
Reasoning: The bookshelf is currently 5 feet tall, and John needs to add 2 more feet to reach the desired height. Therefore, the bookshelf would be 5+2 = <<5+2=7>>7 feet tall after adding 2 more feet. ### Answer: 7
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?
Mixtral 8x22B:
Reasoning: The ceiling is 32 feet high, and the bookshelf is 7 feet tall. Therefore, the rest of the ladder has to be 32-7 = <<32-7=25>>25 feet tall after placing it on top of the already built bookshelf. ### Answer: 25
Expected answer: 25
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The wardrobe is currently 73 feet tall, and John needs to add 2 more feet to reach the desired height. Therefore, the wardrobe would be 73+2 = <<73+2=75>>75 feet tall after adding 2 more feet. ### Answer: 75
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?
Mixtral 8x22B:
Reasoning: The shorter side is 71 - 16 = <<71-16=55>>55 feet long. ### Answer: 55
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?
Mixtral 8x22B:
Reasoning: The shorter side is 71 - 49 = <<71-49=22>>22 feet long. ### Answer: 22
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?
Mixtral 8x22B:
Reasoning: The total length of the pipe will be 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?
Mixtral 8x22B:
Reasoning: The total length of the pipe before removing the faulty segment was 64 feet. After removing the 49 feet of faulty pipe, the length of the remaining pipe would be 64 - 49 = <<64-49=15>>15 feet. ### Answer: 15 feet
Expected answer: 15
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The total length of the pipe will be 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?
Mixtral 8x22B:
Reasoning: Johnny bought 16+22 = <<16+22=38>>38 feet of wood in total. ### Answer: 38
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?
Mixtral 8x22B:
Reasoning: Johnny bought 38+52 = <<38+52=90>>90 feet of wood in total for his fencing project. ### Answer: 90
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?
Mixtral 8x22B:
Reasoning: Johnny bought 15 feet of wood for the first part of the fence. ### Answer: 15
Expected answer: 37
Correct? No
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?
Mixtral 8x22B:
Reasoning: The remaining length of the ribbon is 81 - 56 = <<81-56=25>>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?
Mixtral 8x22B:
Reasoning: The remaining length of the ribbon is 81 - 56 = <<81-56=25>>25 centimeters. For the next round of gift wrapping, he needs 25 \* 2 = <<25\*2=50>>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?
Mixtral 8x22B:
Reasoning: The remaining length of the ribbon is 100 - 56 = <<100-56=44>>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?
Mixtral 8x22B:
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
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?
Mixtral 8x22B:
Reasoning: The total length of the trail is the sum of the length of the first portion and the additional length. Total length = 21 + 29 = <<21+29=50>>50 meters ### 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?
Mixtral 8x22B:
Reasoning: The architect needs to add the difference between the desired length and the current length to reach the goal. Additional length needed = 64 - 50 = <<64-50=14>>14 meters ### Answer: 14 meters
Expected answer: 14
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The total length of the trail is the sum of the initial length and the additional length. Total length = 70 + 21 = <<70+21=91>>91 meters ### 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?
Mixtral 8x22B:
Reasoning: Mr. Johnson's garden measures 55 + 20 = <<55+20=75>>75 meters in total length after adding the new section for potatoes. ### 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?
Mixtral 8x22B:
Reasoning: Mr. Johnson's garden measures 55 + 20 + 16 = <<55+20+16=91>>91 meters in total length after adding the new section for tomatoes. ### 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?
Mixtral 8x22B:
Reasoning: If the rows of carrots were initially 22 meters in length, then after adding the 20 meter section for potatoes, the total length of the garden would be 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?
Mixtral 8x22B:
Reasoning: David shortened the fence by 6 feet, so the new length is 72-6 = <<72-6=66>>66 feet. ### Answer: 66
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?
Mixtral 8x22B:
Reasoning: If David shortens the fence by 22 feet, the new length would be 72-22 = <<72-22=50>>50 feet. ### Answer: 50
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?
Mixtral 8x22B:
Reasoning: Jack started with 7 feet of cardboard and added 41 more feet. So, he used 7+41 = <<7+41=48>>48 feet of cardboard in total. ### Answer: 48
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?
Mixtral 8x22B:
Reasoning: Jack started with 29 feet of cardboard and added 41 more feet. So, his project would be 29+41 = <<29+41=70>>70 feet long. ### Answer: 70
Expected answer: 70
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Bob ran 45 + 8 = <<45+8=53>>53 miles in total during his workout. ### Answer: 53
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?
Mixtral 8x22B:
Reasoning: Bob initially aimed to run 61 miles. He ran 45 + 8 = <<45+8=53>>53 miles in total. Bob is short of his initial goal by 61 - 53 = <<61-53=8>>8 miles. ### Answer: 8
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?
Mixtral 8x22B:
Reasoning: Bob ran 58 + 8 = <<58+8=66>>66 miles in total during his workout. ### Answer: 66
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?
Mixtral 8x22B:
Reasoning: Martha has 7 + 44 = <<7+44=51>>51 meters of yarn altogether for her knitting project. ### Answer: 51
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?
Mixtral 8x22B:
Reasoning: Martha would have had 7 + 85 = <<7+85=92>>92 meters of yarn in total for her knitting project. ### Answer: 92
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?
Mixtral 8x22B:
Reasoning: John initially measured 50 cm of the string. He needs an additional 21 cm for his experiment. The total length of the string that John needs is 50 + 21 = <<50+21=71>>71 cm. ### 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?
Mixtral 8x22B:
Reasoning: John needs 71 cm of string for his science project and 14 cm for his math project. The total length of the string that John needs for both projects is 71 + 14 = <<71+14=85>>85 cm. ### 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?
Mixtral 8x22B:
Reasoning: John initially measured 50 cm of the string. He needs an additional 26 cm for his experiment. The new total length of the string that John needs is 50 + 26 = <<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?
Mixtral 8x22B:
Reasoning: The farmer will add 30 meters to the original length of the field, which is 70 meters. The new length of the field will be 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?
Mixtral 8x22B:
Reasoning: The farmer extended the field to 100 meters, but then decided to reduce the cultivated area by 29 meters. The new length of the cultivated area will be 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?
Mixtral 8x22B:
Reasoning: The farmer will add 8 meters to the original length of the field, which is 70 meters. The new length of the field will be 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?
Mixtral 8x22B:
Reasoning: The runner collapsed 5 kilometers before the finish line, so he completed 64 - 5 = <<64-5=59>>59 kilometers. ### Answer: 59
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?
Mixtral 8x22B:
Reasoning: The runner collapsed 5 kilometers before the finish line, so he completed 80 - 5 = <<80-5=75>>75 kilometers. ### Answer: 75
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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: The new total length of the lap pool after the 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?
Mixtral 8x22B:
Reasoning: The safety barrier needs to be 78 - 1 = <<78-1=77>>77 meters long. ### Answer: 77 meters
Expected answer: 77
Correct? Yes
Problem: After the contractor installed the safety barrier, he realized that he needs to further shorten it by 16 meters to properly fit in some construction equipment. How long will the safety barrier be after he shortens it again?
Mixtral 8x22B:
Reasoning: The safety barrier will be 77 - 16 = <<77-16=61>>61 meters long after the contractor shortens it again. ### Answer: 61 meters
Expected answer: 61
Correct? Yes
Problem: If the contractor initially measured the section of the bridge to be 40 meters instead of 78 meters, and still needed to install a safety barrier that is 1 meter shorter than the length of the section, how long would the safety barrier need to be then?
Mixtral 8x22B:
Reasoning: The safety barrier would need to be 40 - 1 = <<40-1=39>>39 meters long. ### Answer: 39 meters
Expected answer: 39
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?
Mixtral 8x22B:
Reasoning: Sam made a first segment that is 5 feet long and a second segment that is 51 feet long. The total length of the ribbon is 5 + 51 = <<5+51=56>>56 feet. ### Answer: 56
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?
Mixtral 8x22B:
Reasoning: Sam has already made a ribbon that is 56 feet long. He needs to make the total length of the ribbon 58 feet long. So, Sam needs to add 58 - 56 = <<58-56=2>>2 more feet of ribbon. ### Answer: 2
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?
Mixtral 8x22B:
Reasoning: Sam made a first segment that is 47 feet long and a second segment that is 51 feet long. The total length of the ribbon is 47 + 51 = <<47+51=98>>98 feet. ### Answer: 98
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?
Mixtral 8x22B:
Reasoning: Juniper initially extends the banner by 3 centimeters, making it 86+3 = <<86+3=89>>89 centimeters long. Then, she reduces the length of the banner by 88 centimeters, making it 89-88 = <<89-88=1>>1 centimeter long. ### Answer: 1 centimeter
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?
Mixtral 8x22B:
Reasoning: The theater club already has 20 meters of paper chain and needs another 74 meters. 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?
Mixtral 8x22B:
Reasoning: The theater club initially planned to use 94 meters of paper chain, but they were able to save 42 meters by cleverly placing them. 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?
Mixtral 8x22B:
Reasoning: The total length of the road will be the sum of the main segment and the additional stretch. Total length = 62 + 34 = <<62+34=96>>96 meters. ### Answer: 96 meters
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?
Mixtral 8x22B:
Reasoning: The company will tear up a part of the road equal to the length of the main segment, which is 62 meters. The remaining road will be the total length minus the length of the main segment. Remaining road = 96 - 62 = <<96-62=34>>34 meters. ### Answer: 34 meters
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?
Mixtral 8x22B:
Reasoning: The total length of the road will still be the sum of the main segment and the additional stretch. Total length = 62 + 15 = <<62+15=77>>77 meters. ### Answer: 77 meters
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?
Mixtral 8x22B:
Reasoning: Adam drilled an additional 55 meters, so the hole is now 12 + 55 = <<12+55=67>>67 meters deep. ### Answer: 67
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?
Mixtral 8x22B:
Reasoning: Adam needs to fill the hole back up by 3 meters, so the hole will be 67 - 3 = <<67-3=64>>64 meters deep after he fills it back up. ### Answer: 64
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?
Mixtral 8x22B:
Reasoning: The gardener has already covered 36 meters of the path, so there are 68 - 36 = <<68-36=32>>32 meters left to be covered with gravel. ### Answer: 32
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?
Mixtral 8x22B:
Reasoning: If the original length of the garden path was 49 meters, then after the gardener had already covered 36 meters, there would be 49 - 36 = <<49-36=13>>13 meters left to be covered with gravel. ### Answer: 13
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?
Mixtral 8x22B:
Reasoning: Bill has run 77-75 = <<77-75=2>>2 meters beyond the finish line. ### Answer: 2
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?
Mixtral 8x22B:
Reasoning: The race would be 77-14 = <<77-14=63>>63 meters long. ### Answer: 63
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?
Mixtral 8x22B:
Reasoning: Brett's neighbor's house is 19 feet away from the local park. Brett's house is 49 feet away from his neighbor's house. Therefore, Brett's house is 49+19 = <<49+19=68>>68 feet away from the local park. ### Answer: 68
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?
Mixtral 8x22B:
Reasoning: If Brett's house is 75 feet away from his neighbor's house, and his neighbor's house is 19 feet away from the local park, then Brett's house is 75+19 = <<75+19=94>>94 feet away from the local park using this different route. ### Answer: 94
Expected answer: 94
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Bob initially planned to cut 14 meters of rope, but he only cut 7 meters. So, 14 - 7 = <<14-7=7>>7 meters of rope are left uncut. ### Answer: 7
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?
Mixtral 8x22B:
Reasoning: Bob has 7 meters of rope left from the first piece and 72 meters of rope from the second piece. So, 7 + 72 = <<7+72=79>>79 meters of rope in total. ### Answer: 79
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?
Mixtral 8x22B:
Reasoning: Bob originally had an 11 meter rope and cut 7 meters from it. So, 11 - 7 = <<11-7=4>>4 meters of rope are left. ### Answer: 4
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?
Mixtral 8x22B:
Reasoning: Adam is adding 55 meters to the original 37 meters of 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?
Mixtral 8x22B:
Reasoning: If Adam adds only 54 meters to the original 37 meters of the playground, the total length of the playground 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?
Mixtral 8x22B:
Reasoning: Simon swam 41 meters and then ran 42 meters. The total distance Simon covered 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?
Mixtral 8x22B:
Reasoning: Simon swam 39 meters and then ran 42 meters. The total distance Simon covered is 39+42 = <<39+42=81>>81 meters. ### 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?
Mixtral 8x22B:
Reasoning: The main part of the fence is 10 meters long, and the gate is 35 meters long. Toby adds another 3 meters to the fence. The total length of the fence is 10+35+3 = <<10+35+3=48>>48 meters. ### Answer: 48 meters
Expected answer: 48
Correct? Yes
Problem: After constructing the garden fence and the gate, Toby realizes that he needs to extend it to enclose his tool shed as well. This addition will make the fence 14 meters longer. What will be the total length of the fence after adding this extra length?
Mixtral 8x22B:
Reasoning: The total length of the fence before adding the extra length is 48 meters. Toby adds another 14 meters to the fence. The total length of the fence is 48+14 = <<48+14=62>>62 meters. ### Answer: 62 meters
Expected answer: 62
Correct? Yes
Problem: After some altering in his plans, Toby decided to make the main fence a bit longer initially by adding 41 meters instead of 35 to the initial 10 meters. Then he still adds the 3 meters to the fence as he had planned earlier. How long is the fence in total now, including the gate and the additional length?
Mixtral 8x22B:
Reasoning: The main part of the fence is 10 meters long, and Toby adds 41 meters to it. He also adds another 3 meters to the fence. The total length of the fence is 10+41+3 = <<10+41+3=54>>54 meters. ### Answer: 54 meters
Expected answer: 54
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?
Mixtral 8x22B:
Reasoning: Johnathon shortened the rope 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?
Mixtral 8x22B:
Reasoning: Johnathon shortened the original rope to 16 feet and then added a 41-foot rope to it. So, the total length of the rope is 16+41 = <<16+41=57>>57 feet. ### 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?
Mixtral 8x22B:
Reasoning: Johnathon shortened the rope 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?
Mixtral 8x22B:
Reasoning: Robin has 34-13 = <<34-13=21>>21 inches of ribbon left after cutting off 13 inches. Robin has 21+50 = <<21+50=71>>71 inches of ribbon altogether. ### Answer: 71
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?
Mixtral 8x22B:
Reasoning: Robin has 24-13 = <<24-13=11>>11 inches of ribbon left after cutting off 13 inches. Robin has 11+50 = <<11+50=61>>61 inches of ribbon altogether. ### Answer: 61
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?
Mixtral 8x22B:
Reasoning: Johnny used 100-24 = <<100-24=76>>76 meters of the rope for the swing. Johnny has 76 meters of the rope left. ### Answer: 76
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?
Mixtral 8x22B:
Reasoning: Johnny used 41 meters of the leftover rope to make a climbing rope. Johnny had 76 meters of the rope left after making the swing. Johnny has 76-41 = <<76-41=35>>35 meters of the original rope left now. ### Answer: 35
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?
Mixtral 8x22B:
Reasoning: Johnny would have 55-24 = <<55-24=31>>31 meters of rope left. ### Answer: 31
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?
Mixtral 8x22B:
Reasoning: Initially, there were 38 boxes of toys in the warehouse. Later, 3 more boxes were added. So, the total number of boxes of toys now staged in the warehouse is 38 + 3 = <<38+3=41>>41 boxes. ### 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?
Mixtral 8x22B:
Reasoning: Initially, there were 38 boxes of toys in the warehouse. Later, 3 more boxes were added, making it 38 + 3 = <<38+3=41>>41 boxes. Then, 8 more boxes showed up unexpectedly, making the total number of boxes of toys now present in the warehouse 41 + 8 = <<41+8=49>>49 boxes. ### 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?
Mixtral 8x22B:
Reasoning: Initially, there were 9 boxes of toys in the warehouse. Later, 3 more boxes were added. So, the total number of boxes of toys now staged in the warehouse is 9 + 3 = <<9+3=12>>12 boxes. ### 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?
Mixtral 8x22B:
Reasoning: John added 25 + 38 = <<25+38=63>>63 feet to the track in total. ### Answer: 63
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?
Mixtral 8x22B:
Reasoning: The park is 75 meters long, and the garden is 25 meters long. The park area that is not covered by the garden is 75 - 25 = <<75-25=50>>50 meters long. ### 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?
Mixtral 8x22B:
Reasoning: Fred has already run 70 meters and the race is 100 meters long. Fred still has to run 100-70 = <<100-70=30>>30 meters to finish the race. ### Answer: 30
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?
Mixtral 8x22B:
Reasoning: Fred has already run 73 meters and the race is 100 meters long. Fred still has to run 100-73 = <<100-73=27>>27 meters to finish the race. ### Answer: 27
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?
Mixtral 8x22B:
Reasoning: The toy car was originally 5 inches long. After losing 2 inches, the length of the toy car is now 5-2 = <<5-2=3>>3 inches. ### Answer: 3
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?
Mixtral 8x22B:
Reasoning: The first toy car was 3 inches long after it was broken. The second toy car was initially 8 inches long and lost a length equal to the first toy car's remaining length, which is 3 inches. Therefore, the second toy car is now 8-3 = <<8-3=5>>5 inches long. ### Answer: 5
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?
Mixtral 8x22B:
Reasoning: The third toy car was originally 37 inches long. After losing 2 inches, the length of the third toy car is now 37-2 = <<37-2=35>>35 inches. ### Answer: 35
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?
Mixtral 8x22B:
Reasoning: The contractor has already laid down 19 feet of concrete walkway. He will add another 64 feet to it. The total length of the path will be 19 + 64 = <<19+64=83>>83 feet. ### 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?
Mixtral 8x22B:
Reasoning: The contractor has a pathway that is 83 feet long. He needs to shorten it by 22 feet. The length of the pathway after the adjustment will be 83 - 22 = <<83-22=61>>61 feet. ### Answer: 61 feet
Expected answer: 61
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The contractor has already laid down 19 feet of concrete walkway. He will add another 10 feet to it instead of the initial 64 feet. The total length of the path will be 19 + 10 = <<19+10=29>>29 feet. ### Answer: 29 feet
Expected answer: 29
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Tom used 93-47 = <<93-47=46>>46 inches of ribbon to wrap the gift. Tom has 46 inches of ribbon left. ### Answer: 46
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?
Mixtral 8x22B:
Reasoning: Tom used 46-16 = <<46-16=30>>30 inches of ribbon to make the bow. Tom has 30 inches of ribbon left. ### Answer: 30
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?
Mixtral 8x22B:
Reasoning: Mike started with 82 feet of fencing material. He bought another 2 feet, so he had 82+2 = <<82+2=84>>84 feet. He then borrowed an additional 10 feet from his neighbor, so he had 84+10 = <<84+10=94>>94 feet of fencing material in total. ### Answer: 94
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?
Mixtral 8x22B:
Reasoning: Mike used up all the original fencing he had (82 feet + 2 feet) for the main fence, which is 84 feet. He had a total of 94 feet of fencing material, including the 10 feet he borrowed from his neighbor. So, he used 94-84 = <<94-84=10>>10 feet of fencing material for the vegetable garden. ### Answer: 10
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?
Mixtral 8x22B:
Reasoning: Mike started with 82 feet of fencing material. He added an extra 2 feet at the start, so he had 82+2 = <<82+2=84>>84 feet. He then decided to add an extra 12 feet, so he had 84+12 = <<84+12=96>>96 feet of fencing material in total. ### Answer: 96
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?
Mixtral 8x22B:
Reasoning: Henry already has a section of the fence that is 46 feet long. He is adding another section that is 23 feet long. The entire fence will be 46+23 = <<46+23=69>>69 feet long. ### Answer: 69
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?
Mixtral 8x22B:
Reasoning: Henry originally had a fence that was 69 feet long. He removed a section that was 24 feet long. The fence is now 69-24 = <<69-24=45>>45 feet long. ### Answer: 45
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?
Mixtral 8x22B:
Reasoning: Henry initially thought he needed to add a 23 feet long section to the 46 feet long part of the fence. However, he realized that he should have added a 22 feet long section instead. The entire fence will be 46+22 = <<46+22=68>>68 feet long. ### Answer: 68
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?
Mixtral 8x22B:
Reasoning: The construction worker initially laid 98 feet of pipe, but then removed 58 feet, leaving him with 98-58 = <<98-58=40>>40 feet of pipe. He then adds an additional 52 feet to complete the line, making the total length 40+52 = <<40+52=92>>92 feet. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: In the original scenario, the construction worker thought he needed to lay 98 feet of pipe. He then realized he overestimated and removed 58 feet. However, on revisiting the project plan, it turns out that instead of the initial additional 52 feet, he only needs to add 33 feet to the remaining pipe to complete it. How long, in feet, will the plumbing line be given this new requirement?
Mixtral 8x22B:
Reasoning: The construction worker initially laid 98 feet of pipe, but then removed 58 feet, leaving him with 98-58 = <<98-58=40>>40 feet of pipe. He then adds an additional 33 feet to complete the line, making the total length 40+33 = <<40+33=73>>73 feet. ### Answer: 73
Expected answer: 73
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The shortcut cuts the distance by 46 km, so the distance Bob has to cover after taking the shortcut is 94 - 46 = <<94-46=48>>48 km. Bob still needs to drive an extra 37 km to reach his destination, so the total distance Bob has to cover is 48 + 37 = <<48+37=85>>85 km. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Instead of 94 km, suppose Bob's house was originally only 70 km from the city. However, there is the same shortcut that cuts the distance by 46 km. After taking the shortcut, Bob 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?
Mixtral 8x22B:
Reasoning: The shortcut cuts the distance by 46 km, so the distance Bob has to cover after taking the shortcut is 70 - 46 = <<70-46=24>>24 km. Bob still needs to drive an extra 37 km to reach his destination, so the total distance Bob has to cover is 24 + 37 = <<24+37=61>>61 km. ### Answer: 61
Expected answer: 61
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The builder has used 60 meters of the metal beam, so he has 78 - 60 = <<78-60=18>>18 meters left to be utilized. ### Answer: 18
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?
Mixtral 8x22B:
Reasoning: The builder has 18 meters of the beam left, and he needs to double that length, so he needs 18 * 2 = <<18\*2=36>>36 meters of the beam now. ### Answer: 36
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?
Mixtral 8x22B:
Reasoning: The builder has used 42 meters of the metal beam, so he has 78 - 42 = <<78-42=36>>36 meters left to be utilized. ### Answer: 36
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?
Mixtral 8x22B:
Reasoning: The construction worker originally needed 32 feet of rebar. After revising the design, he needs to add 3 more feet of rebar. So, he needs 32 + 3 = <<32+3=35>>35 feet of rebar in total after the revision. ### Answer: 35
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?
Mixtral 8x22B:
Reasoning: The construction worker needs 35 feet of rebar for one part of the building. Since the second part is identical to the first, he will need the same amount of rebar for the second part. So, he needs 35 + 35 = <<35+35=70>>70 feet of rebar in total for both parts of the building. ### Answer: 70
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?
Mixtral 8x22B:
Reasoning: The construction worker originally needed 72 feet of rebar. After revising the design, he needs to add 3 more feet of rebar. So, he needs 72 + 3 = <<72+3=75>>75 feet of rebar in total after the revision. ### Answer: 75
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?
Mixtral 8x22B:
Reasoning: John already has 75 meters of fencing and needs 3 more meters. John needs 75+3 = <<75+3=78>>78 meters of fencing altogether to build his garden fence. ### Answer: 78
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?
Mixtral 8x22B:
Reasoning: John initially thought he needed 75 meters of fencing, but he only needs 16 meters. John still needs 3 more meters for the gate. John needs 16+3 = <<16+3=19>>19 meters of fencing in total considering the new measurements. ### Answer: 19
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?
Mixtral 8x22B:
Reasoning: Tom initially has 15 meters of rope. He then buys another 70 meters, so he has 15+70 = <<15+70=85>>85 meters of rope. The next day, he adds another 2 meters, so he has 85+2 = <<85+2=87>>87 meters of rope in total. ### Answer: 87
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?
Mixtral 8x22B:
Reasoning: Tom initially has 87 meters of rope. He uses 58 meters to make a fence, so he has 87-58 = <<87-58=29>>29 meters of rope left. ### Answer: 29
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?
Mixtral 8x22B:
Reasoning: Tom initially has 15 meters of rope. He then buys another 40 meters, so he has 15+40 = <<15+40=55>>55 meters of rope. The next day, he adds another 2 meters, so he has 55+2 = <<55+2=57>>57 meters of rope in total. ### Answer: 57
Expected answer: 57
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Liam has already used 29 meters of fencing and needs to reduce it by 22 meters, so he will have 29-22 = <<29-22=7>>7 meters of fencing left. Liam needs an additional 71 meters of fencing to complete the job, so in total, he will need 7+71 = <<7+71=78>>78 meters of fencing. ### Answer: 78
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?
Mixtral 8x22B:
Reasoning: Liam had 78 meters of fencing in total after building the fence. He reduced the total length of the fence by 26 meters to create space for the shed, so he will have 78-26 = <<78-26=52>>52 meters of fencing left. ### Answer: 52
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?
Mixtral 8x22B:
Reasoning: Liam had intended to use only 28 meters of fencing in his original plan. Liam had already used 29 meters of fencing and needed to reduce it by 22 meters, so he would have had 29-22 = <<29-22=7>>7 meters of fencing left. In total, Liam would have needed 28+7 = <<28+7=35>>35 meters of fencing if he had followed his original plan. ### Answer: 35
Expected answer: 35
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The truck driver travels 45 miles to the first delivery location and then another 45 miles to the second delivery location. The total distance traveled is 45 + 45 = <<45+45=90>>90 miles. ### Answer: 90
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?
Mixtral 8x22B:
Reasoning: John finished the swimming portion in 37 minutes, which is 59 - 37 = <<59-37=22>>22 minutes faster than the allotted time. To finish the bike portion faster than the swimming portion, John needs to finish it in less than 58 - 22 = <<58-22=36>>36 minutes. ### Answer: Less than 36 minutes
Expected answer: 36
Correct? Yes
Problem: After completing the cycling portion of the triathlon, John now moves on to the running portion. As per his training regimen, he aims to complete the running portion in 21 minutes more than the time he took to finish the cycling leg. How many minutes will he have planned to complete the running portion?
Mixtral 8x22B:
Reasoning: John finished the cycling portion in less than 36 minutes. To complete the running portion in 21 minutes more than the time he took to finish the cycling leg, John needs to plan for 36 + 21 = <<36+21=57>>57 minutes. ### Answer: 57 minutes
Expected answer: 57
Correct? Yes
Problem: Let's reconsider John's bicycle portion of the race. If instead of originally planning for the bicycle portion to last 58 minutes, John had only allotted 50 minutes, how quickly would he need to finish the biking portion to maintain his goal of cycling faster than his swimming time?
Mixtral 8x22B:
Reasoning: John finished the swimming portion in 37 minutes, which is 59 - 37 = <<59-37=22>>22 minutes faster than the allotted time. To finish the bike portion faster than the swimming portion, John needs to finish it in less than 50 - 22 = <<50-22=28>>28 minutes. ### Answer: Less than 28 minutes
Expected answer: 28
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Dan walked 26 + 65 = <<26+65=91>>91 meters in total during his school trip. ### Answer: 91
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?
Mixtral 8x22B:
Reasoning: Dan walked 26 + 65 + 9 = <<26+65+9=100>>100 meters in total during his whole trip. ### Answer: 100
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?
Mixtral 8x22B:
Reasoning: If the park was only 15 meters away from the museum, Dan would have walked 26 + 15 = <<26+15=41>>41 meters in total to get from the museum to the park. ### Answer: 41
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?
Mixtral 8x22B:
Reasoning: Maria has a ribbon that is 43 cm long and she joins it with another ribbon that is 12 cm long. The total length of the ribbon after joining 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?
Mixtral 8x22B:
Reasoning: Maria has a ribbon that is 55 cm long and she adds another piece of ribbon that is 32 cm long. The total length of the ribbon after adding 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?
Mixtral 8x22B:
Reasoning: Maria has a ribbon that is 7 cm long and she joins it with another ribbon that is 12 cm long. The total length of the ribbon after joining 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?
Mixtral 8x22B:
Reasoning: The new length of the park will be 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?
Mixtral 8x22B:
Reasoning: The new length of the park after adding 8 meters is 66 meters. The council needs to reduce the length by 41 meters, so the final length will be 66 - 41 = <<66-41=25>>25 meters. ### Answer: 25 meters
Expected answer: 25
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The new length of this park will be 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?
Mixtral 8x22B:
Reasoning: The bamboo plant was originally 41 inches tall. After pruning, Jack reduced its height by 10 inches. So, the new height of the bamboo plant 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?
Mixtral 8x22B:
Reasoning: Jack's bamboo plant was originally 41 inches tall. He decided to prune it further by 29 inches. So, the new height of the bamboo plant would be 41 - 29 = <<41-29=12>>12 inches. ### Answer: 12 inches
Expected answer: 12
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Alice ran 93-78 = <<93-78=15>>15 miles not on a paved road. ### Answer: 15
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?
Mixtral 8x22B:
Reasoning: Alice still needs to run 60-15 = <<60-15=45>>45 more miles on non-paved roads to reach her aim for this month. ### Answer: 45
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?
Mixtral 8x22B:
Reasoning: Alice ran 93-52 = <<93-52=41>>41 miles not on a paved road. ### Answer: 41
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?
Mixtral 8x22B:
Reasoning: Tom needs to add 68-55 = <<68-55=13>>13 inches to the table to reach the desired length. ### Answer: 13
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?
Mixtral 8x22B:
Reasoning: Tom originally cut the wood short by 71-55 = <<71-55=16>>16 inches. ### Answer: 16
Expected answer: 16
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Mary has 92 - 14 = <<92-14=78>>78 cm of paper left. ### 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?
Mixtral 8x22B:
Reasoning: Mary has 78 + 7 = <<78+7=85>>85 cm of paper now. ### 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?
Mixtral 8x22B:
Reasoning: Mary has 29 - 14 = <<29-14=15>>15 cm of paper left. ### 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?
Mixtral 8x22B:
Reasoning: Peter has cut a wooden plank of 45 inches and another one of 18 inches. 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?
Mixtral 8x22B:
Reasoning: Peter has already cut 63 inches of wood for the bench. He needs an additional 11 inches of wood for the backrest. The total length of the wood he needs 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?
Mixtral 8x22B:
Reasoning: Peter would have cut a wooden plank of 21 inches and another one of 18 inches. The total length of the two wooden planks 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?
Mixtral 8x22B:
Reasoning: Tim has already knit 23 inches, so he needs to knit 57 - 23 = <<57-23=34>>34 more inches to finish the scarf. ### Answer: 34
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?
Mixtral 8x22B:
Reasoning: Tim has already knit 56 inches, so he needs to knit 57 - 56 = <<57-56=1>>1 more inch to finish the scarf. ### Answer: 1
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?
Mixtral 8x22B:
Reasoning: Alex has already built 98-52 = <<98-52=46>>46 meters of the path. Alex needs to build 46 more meters to complete the path. ### Answer: 46
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?
Mixtral 8x22B:
Reasoning: Alex would reduce the length of the walking path by 13 meters, so the new length would be 98-13 = <<98-13=85>>85 meters. ### Answer: 85
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?
Mixtral 8x22B:
Reasoning: The initial length of the road was 58 kilometers, but 32 kilometers are no longer being constructed. The revised length of the road is 58-32 = <<58-32=26>>26 kilometers. ### Answer: 26
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?
Mixtral 8x22B:
Reasoning: The original plan for the road length was 58 kilometers, but this time, only 12 kilometers were removed from the construction. The revised length of the road under this new plan is 58-12 = <<58-12=46>>46 kilometers. ### Answer: 46
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?
Mixtral 8x22B:
Reasoning: The tailor used 15 + 80 = <<15+80=95>>95 meters of fabric in total. ### Answer: 95
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?
Mixtral 8x22B:
Reasoning: The tailor originally used 95 meters of fabric for the costume. After removing 71 meters, he had 95 - 71 = <<95-71=24>>24 meters of fabric remaining in the finished costume. ### Answer: 24
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?
Mixtral 8x22B:
Reasoning: George has already installed 17 meters of the fence and he still has 77 meters to go. So, the total length of the fence will be 17+77 = <<17+77=94>>94 meters. ### Answer: 94
Expected answer: 94
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 the completion. After a couple of days, he realizes that he wants to reduce the length of the fence by 31 meters. How many meters of fence will he end up with after the reduction?
Mixtral 8x22B:
Reasoning: George has already installed 17 meters of the fence and he still has 77 meters to go. So, the total length of the fence will be 17+77 = <<17+77=94>>94 meters. After reducing the length of the fence by 31 meters, George will end up with 94-31 = <<94-31=63>>63 meters of fence. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Considering the same scenario where George is building a fence around his yard, suppose initially he had installed 17 meters the fence but decided to add only 19 meters more instead of the previous 77 meters. How many meters of fence would he have installed in total then?
Mixtral 8x22B:
Reasoning: George initially installed 17 meters of the fence and decided to add only 19 meters more. So, the total length of the fence would be 17+19 = <<17+19=36>>36 meters. ### Answer: 36
Expected answer: 36
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: Sarah has already knit 14 inches, so she needs to knit 77-14 = <<77-14=63>>63 more inches to finish her scarf. ### Answer: 63 inches
Expected answer: 63
Correct? Yes
Problem: Sarah has a knitting goal to make a scarf that's 77 inches long. She has already knit 14 inches of it. Once she finishes her scarf, she realizes that she also wants to knit a matching hat. If the hat requires an additional 5 inches of yarn, how many inches of yarn will Sarah need in total for her scarf and hat?
Mixtral 8x22B:
Reasoning: Sarah has already knit 14 inches of her scarf, so she needs to knit 77-14 = <<77-14=63>>63 more inches to finish her scarf. The hat requires an additional 5 inches of yarn, so Sarah will need 63+5 = <<63+5=68>>68 inches of yarn in total for her scarf and hat. ### Answer: 68 inches
Expected answer: 68
Correct? Yes
Problem: Sarah originally planned to make her scarf 52 inches long instead of 77 inches, but she has already knit 14 inches. How much more does she need to knit to finish the scarf in light of this new desired total length?
Mixtral 8x22B:
Reasoning: Sarah originally planned to make her scarf 52 inches long, so she needs to knit 52-14 = <<52-14=38>>38 more inches to finish her scarf. ### Answer: 38 inches
Expected answer: 38
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?
Mixtral 8x22B:
Reasoning: Joshua's bamboo fence is now 49+14 = <<49+14=63>>63 feet long. ### Answer: 63
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?
Mixtral 8x22B:
Reasoning: Joshua's bamboo fence was 63-18 = <<63-18=45>>45 feet long after he shortened it. ### Answer: 45
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?
Mixtral 8x22B:
Reasoning: George initially planted 85 feet of bushes. He removed 58 feet, so the remaining length is 85-58 = <<85-58=27>>27 feet. George then adds another row that is 56 feet long. The total length of the planted bushes will be 27+56 = <<27+56=83>>83 feet. ### Answer: 83
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?
Mixtral 8x22B:
Reasoning: George initially planted 85 feet of bushes. He removed 55 feet, so the remaining length is 85-55 = <<85-55=30>>30 feet. George then adds another row that is 56 feet long. The total length of the planted bushes will be 30+56 = <<30+56=86>>86 feet. ### Answer: 86
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?
Mixtral 8x22B:
Reasoning: John cuts the shorter piece (45 inches) from the longer piece (51 inches), leaving him with 51-45 = <<51-45=6>>6 inches of the longer piece. Then he adds a piece that is 40 inches long to the remaining length, making the new total length 6+40 = <<6+40=46>>46 inches. ### Answer: 46
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?
Mixtral 8x22B:
Reasoning: John adds the 6-inch piece of wood to his existing length of 46 inches, making the new total length 46+6 = <<46+6=52>>52 inches. ### Answer: 52
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?
Mixtral 8x22B:
Reasoning: The soccer field is 55 meters long, but only 27 meters are currently usable. Therefore, 55-27 = <<55-27=28>>28 meters of the field cannot be used. ### Answer: 28
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?
Mixtral 8x22B:
Reasoning: The soccer field is 55 meters long, but only 31 meters are currently usable. Therefore, 55-31 = <<55-31=24>>24 meters of the field cannot be used. ### Answer: 24
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?
Mixtral 8x22B:
Reasoning: The original shelf was 4 feet long. John added another section that was 11 feet longer than the original shelf. So, the new length of the shelf 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?
Mixtral 8x22B:
Reasoning: The original shelf was 4 feet long. John added another section that was 11 feet longer than the original shelf. So, the new length of the shelf is 4 + 11 = <<4+11=15>>15 feet. John also built a wooden fence that was 83 feet long. So, the total length of wood that John 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?
Mixtral 8x22B:
Reasoning: The original shelf was 12 feet long. John added another section that was 11 feet longer than the original shelf. So, the new length of the shelf is 12 + 11 = <<12+11=23>>23 feet. ### 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?
Mixtral 8x22B:
Reasoning: The original length of the farm is 36 meters. The farmer wants to extend the length by 10 more meters. The total length of the farm after expansion will be 36 + 10 = <<36+10=46>>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?
Mixtral 8x22B:
Reasoning: The total length of the farm after the first expansion is 46 meters. The farmer wants to add a fence that includes an extra 14 meters. The total length of the farm, including the fence, after all the expansions will be 46 + 14 = <<46+14=60>>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?
Mixtral 8x22B:
Reasoning: The original length of the farm is 56 meters. The farmer wants to extend the length by 10 more meters. The total length of the farm after expansion will be 56 + 10 = <<56+10=66>>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?
Mixtral 8x22B:
Reasoning: Jacob has already built 42 feet of the fence. He needs to build 79-42 = <<79-42=37>>37 more feet 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?
Mixtral 8x22B:
Reasoning: Jacob has built a 79-foot long fence. He added a 12-foot gate to the fence. The total length of the fence including the gate is 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?
Mixtral 8x22B:
Reasoning: Jacob originally planned to build a 79-foot fence. He only needs to build a 43-foot fence. Jacob needs to subtract 79-43 = <<79-43=36>>36 feet from his original plan. ### 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?
Mixtral 8x22B:
Reasoning: Travis bought a total of 19 + 62 + 6 = <<19+62+6=87>>87 inches of cassette tape. ### Answer: 87
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?
Mixtral 8x22B:
Reasoning: Travis had 87 - 42 = <<87-42=45>>45 inches of tape left after finishing his audio project. ### Answer: 45
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?
Mixtral 8x22B:
Reasoning: Travis actually bought a total of 19 + 29 + 6 = <<19+29+6=54>>54 inches of cassette tape. ### Answer: 54
Expected answer: 54
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The combined length and width of the park is 21+45 = <<21+45=66>>66 meters. The jogging track is 66+15 = <<66+15=81>>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?
Mixtral 8x22B:
Reasoning: The combined length and width of the park is 21+45 = <<21+45=66>>66 meters. The jogging track is 66+15 = <<66+15=81>>81 meters long. The total length available for the bike track is 90 meters. The bike track would be 90-81 = <<90-81=9>>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?
Mixtral 8x22B:
Reasoning: The new combined length and width of the park is 11+45 = <<11+45=56>>56 meters. The new jogging track is 56+15 = <<56+15=71>>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?
Mixtral 8x22B:
Reasoning: The worker needs a total of 15 + 13 = <<15+13=28>>28 feet of lumber. ### 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?
Mixtral 8x22B:
Reasoning: The worker needs a total of 15 + 13 + 7 = <<15+13+7=35>>35 feet of lumber for the complete project. ### 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?
Mixtral 8x22B:
Reasoning: The worker now needs a total of 15 + 59 = <<15+59=74>>74 feet of lumber. ### 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?
Mixtral 8x22B:
Reasoning: The total length of the bricks before adding the new brick is 10 inches times the number of bricks in the stack. After adding the new brick, the total length will be the original length plus 9 inches. Let's assume the number of bricks in the stack is n. The total length before adding the new brick is 10n inches. After adding the new brick, the total length will be 10n + 9 inches. Since we don't know the value of n, we can't calculate the exact total length. However, we can express the total length as 10n + 9 inches. ### Answer: 10n + 9 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?
Mixtral 8x22B:
Reasoning: The train travels 82 + 14 = <<82+14=96>>96 kilometers in total. ### Answer: 96
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?
Mixtral 8x22B:
Reasoning: The train would have traveled 19 + 14 = <<19+14=33>>33 kilometers in total. ### Answer: 33
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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: The pathway now extends 21 meters inward from the entrance gate, and the total length of the park is reduced to 51 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?
Mixtral 8x22B:
Reasoning: The farmer has 48-29 = <<48-29=19>>19 meters left for other usage. ### Answer: 19
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?
Mixtral 8x22B:
Reasoning: The farmer has 46-29 = <<46-29=17>>17 meters left for other usage. ### Answer: 17
Expected answer: 17
Correct? Yes