Common Core Standard 5.OA.A.1
This standard covers the following:
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Problem: A sock company packages their socks in sets of 40. They have 2840 socks to package, and they currently have 93 packs already made. How many packs of socks will they have in total once all the socks have been packaged? Afterward, they received an another shipment of 70 packs of socks, but had to return 8 due to quality issues. How many packs of socks does the company have now?
Gemma 2B:
Reasoning: The company has 2840 socks to package, and they package them in sets of 40. So, they will need 2840/40 = <<2840/40=71>>71 packs to package all the socks. They already have 93 packs, so they will have a total of 93+71 = <<93+71=164>>164 packs once all the socks have been packaged. After receiving an additional 70 packs, the total number of packs will be 164+70 = <<164+70=234>>234 packs. However, they had to return 8 packs due to quality issues, so the final number of packs will be 234-8 = <<234-8=226>>226 packs. ### Answer: 226
Expected answer: 226
Correct? Yes
Problem: A gardener has a field where he planted 80 rose bushes, with each bush producing 30 roses. Before he is able to gather them, a storm blows away 43 roses. How many roses are remaining in the field?
Gemma 2B:
Reasoning: The total number of roses in the field is 80*30 = <<80*30=2400>>2400 roses. After the storm, the number of roses remaining is 2400-43 = <<2400-43=2357>>2357 roses. ### Answer: 2357
Expected answer: 2357
Correct? Yes
Problem: The gardener realizes afterwards that he initially miscounted the rose bushes in the field. It turns out there were not 80, but 84 rose bushes instead, each still producing 30 roses, and the storm still managed to blow away 43 roses. How many roses does he actually have remaining in the field after the correction?
Gemma 2B:
Reasoning: The total number of roses in the field is 84*30 = <<84*30=2520>>2520 roses. After the storm, the number of roses remaining is 2520-43 = <<2520-43=2477>>2477 roses. ### Answer: 2477
Expected answer: 2477
Correct? Yes
Problem: A dolphin can leap (3 + 59) feet high. If a dolphin completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day?
Gemma 2B:
Reasoning: A dolphin can leap (3 + 59) feet high, which is 62 feet. If a dolphin completes 89 jumps in a day, then the total distance jumped is 89 * 62 feet. Calculating the total distance jumped: 89 * 62 = 5558 feet ### Answer: 5558
Expected answer: 5518
Correct? No
Problem: A candy store starts the day with 81 pieces of candy. They receive a delivery adding another 6 candies, but they sell 61 throughout the day. How many pieces of candy does the store have left?
Gemma 2B:
Reasoning: The candy store starts with 81 pieces of candy and receives 6 more, so they have 81+6 = <<81+6=87>>87 pieces of candy. They sell 61 pieces of candy throughout the day, so they have 87-61 = <<87-61=26>>26 pieces of candy left. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Continuing from the original scenario, suppose the candy store started the day with 81 pieces of candy and received a delivery adding 6, but this time, they only sold 7 candies throughout the day. How many pieces of candy does the store now have left?
Gemma 2B:
Reasoning: The candy store starts with 81 pieces of candy and receives 6 more, so they have 81+6 = <<81+6=87>>87 pieces of candy. They sell 7 pieces of candy throughout the day, so they have 87-7 = <<87-7=80>>80 pieces of candy left. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. If they evenly distribute the skates over 82 separate stores, how many pairs of ice skates does each store receive?
Gemma 2B:
Reasoning: To find out how many pairs of ice skates each store receives, we need to divide the total number of pairs of ice skates by the number of stores. So, 6806 pairs of ice skates / 82 stores = <<6806/82=83>>83 pairs of ice skates per store. Each store receives 83 pairs of ice skates.
Expected answer: 83
Correct? Yes
Problem: If a stationery store has 40 white erasers and 74 pink erasers, how many erasers are there in total?
Gemma 2B:
Reasoning: The total number of erasers is 40+74 = <<40+74=114>>114. ### Answer: 114
Expected answer: 114
Correct? Yes
Problem: Suppose instead that the stationery store had 40 white erasers and 37 pink erasers initially. How many erasers would be there in total in that case?
Gemma 2B:
Reasoning: The total number of erasers is 40+37 = <<40+37=77>>77. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: A company manufactures a batch of pens, with each batch containing 39 pens. If the company has produced 10 such batches, how many pens does the company have now?
Gemma 2B:
Reasoning: The company has produced 10 batches of pens, with each batch containing 39 pens. So, the total number of pens the company has now is 10*39 = <<10*39=390>>390 pens. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: The company found an error in their manufacturing record and realized they actually produced 43 batches of pens, not 10. Each batch still contained 39 pens. How many pens did the company actually produce?
Gemma 2B:
Reasoning: The company actually produced 43 batches of pens, with each batch containing 39 pens. So, the total number of pens the company actually produced is 43*39 = <<43*39=1677>>1677 pens. ### Answer: 1677
Expected answer: 1677
Correct? Yes
Problem: A dairy farm has 33 cows. Each cow gives (99 + 58) litres of milk per day. How many litres of milk does the farm produce in a day?
Gemma 2B:
Reasoning: Each cow gives 99 + 58 = <<99+58=157>>157 litres of milk per day. The farm produces 33 * 157 = <<33*157=5141>>5141 litres of milk per day. ### Answer: 5141
Expected answer: 5181
Correct? No
Problem: A farmer's grape vine produces 3344 grapes, and he has 38 equally productive grape vines. How many grapes does each vine produce?
Gemma 2B:
Reasoning: The total number of grapes produced by all the vines is 3344 * 38 = <<3344*38=126872>>126872 grapes. The number of grapes produced by each vine is 126872 / 38 = <<126872/38=3340>>3340 grapes. ### Answer: 3340
Expected answer: 88
Correct? No
Problem: Yesterday, a region experienced a heavy snowfall of 93 cm and today it received additional 29 cm of snow. However, 20 cm of snow has melted. How much snow is now left?
Gemma 2B:
Reasoning: Yesterday's snowfall: 93 cm Today's snowfall: 29 cm Total snowfall: 93 + 29 = 122 cm Snow melted: 20 cm Remaining snow: 122 - 20 = 102 cm Answer: 102
Expected answer: 102
Correct? Yes
Problem: Considering the previous problem, suppose the region experienced a heavier snowfall of 90 cm (instead of 29 cm) today, while the 20 cm melt remained the same. How might this change the amount of snow now left?
Gemma 2B:
Reasoning: Yesterday's snowfall: 93 cm Today's snowfall: 90 cm Total snowfall: 93 + 90 = 183 cm Snow melted: 20 cm Remaining snow: 183 - 20 = 163 cm Answer: 163
Expected answer: 163
Correct? Yes
Problem: A farmer has 3069 grapes. If he decides to put 33 grapes in each bag, he will have a certain number of bags. However, the farmer eats 13 bags of grapes and also gives away 50 bags of grapes. How many bags of grapes does the farmer have left?
Gemma 2B:
Reasoning: The farmer has 3069 grapes and puts 33 grapes in each bag, so he has 3069/33 = <<3069/33=93>>93 bags of grapes. The farmer eats 13 bags of grapes, so he has 93-13 = <<93-13=80>>80 bags of grapes left. The farmer gives away 50 bags of grapes, so he has 80-50 = <<80-50=30>>30 bags of grapes left. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Following the previous scenario, suppose the farmer decides to change his approach and now puts 25 grapes in each bag instead of 33. He again eats 13 bags and gives away 50 bags. How many bags of grapes does the farmer have now?
Gemma 2B:
Reasoning: The farmer has 3069 grapes and puts 25 grapes in each bag, so he has 3069/25 = <<3069/25=122.76>>123 bags of grapes (rounded up because you can't have a fraction of a bag). The farmer eats 13 bags of grapes, so he has 123-13 = <<123-13=110>>110 bags of grapes left. The farmer gives away 50 bags of grapes, so he has 110-50 = <<110-50=60>>60 bags of grapes left. ### Answer: 60
Expected answer: 1494/25
Correct? No
Problem: A giraffe's neck has a length of 275 centimeters. If one meter is made up of 5 centimeters, what is the length of the giraffe's neck in meters?
Gemma 2B:
Reasoning: If one meter is made up of 5 centimeters, then the giraffe's neck length of 275 centimeters is equal to 275/5 = <<275/5=55>>55 meters. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: After measuring the giraffe's neck in meters, the zookeeper re-evaluates and discovers that his conversion tool was using an incorrect scale, where one meter actually equals 43 centimeters, not 5 centimeters. Given this new information, what is the length of the giraffe's neck in meters?
Gemma 2B:
Reasoning: If one meter is made up of 43 centimeters, then the giraffe's neck length of 275 centimeters is equal to 275/43 = <<275/43=6.395>>6.395 meters. ### Answer: 6.395
Expected answer: 275/43
Correct? No
Problem: A furniture store had 79 chairs in stock. They received a shipment adding 9 more chairs, but then sold 45 chairs in a single day. How many chairs are now in the store?
Gemma 2B:
Reasoning: The furniture store had 79+9 = <<79+9=88>>88 chairs after the shipment. After selling 45 chairs, the store has 88-45 = <<88-45=43>>43 chairs left. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Following from the previous scenario, consider instead that the furniture store originally had 79 chairs, but this time, they only received a shipment adding 4 more chairs before selling 45 chairs in a single day. How many chairs are now in the store under this altered situation?
Gemma 2B:
Reasoning: The furniture store had 79+4 = <<79+4=83>>83 chairs after the shipment. After selling 45 chairs, the store has 83-45 = <<83-45=38>>38 chairs left. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: A teddy bear factory can usually produce 91 teddy bears per day. However, today their capacity increased by 1 due to new equipment. A charity has also just donated materials to produce 15 additional teddy bears. How many total teddy bears can the factory produce today?
Gemma 2B:
Reasoning: The factory can produce 91+1 = <<91+1=92>>92 teddy bears per day with the new equipment. With the donated materials, the factory can produce an additional 15 teddy bears, so the total number of teddy bears they can produce today is 92+15 = <<92+15=107>>107. ### Answer: 107
Expected answer: 107
Correct? Yes
Problem: A giraffe needs 67 leaves to eat at breakfast and 33 more in the afternoon. How many leaves does the giraffe need for a single day?
Gemma 2B:
Reasoning: The giraffe needs 67+33 = <<67+33=100>>100 leaves in a single day. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: If you can drive 304 miles on a tank of gas and the tank is divided into 4 equal parts, how many miles can you drive on one part of the tank?
Gemma 2B:
Reasoning: If the tank is divided into 4 equal parts, then each part represents 1/4 of the tank. To find out how many miles can be driven on one part of the tank, we need to divide the total miles by the number of parts. So, 304 miles / 4 parts = <<304/4=76>>76 miles can be driven on one part of the tank. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If you can drive 304 miles on a full tank of gas which is divided into 4 equal parts, you've found that you can drive a certain distance on one part of the tank. If you refill this part of the tank 47 times, how many miles in total could you potentially drive?
Gemma 2B:
Reasoning: If you can drive a certain distance on one part of the tank, and you refill this part 47 times, then you can potentially drive this distance 47 times. Let's say the distance you can drive on one part of the tank is D miles. So, the total distance you can potentially drive is 47 * D miles. ### Answer: 47D
Expected answer: 3572
Correct? No
Problem: If instead of a tank which can hold enough gas to drive 304 miles, you have a smaller tank which holds enough gas to drive 304 miles, and you divide the tank into 91 equal parts, how many miles can you drive on one part of the tank?
Gemma 2B:
Reasoning: If the tank is divided into 91 equal parts, then each part represents 1/91 of the tank. To find out how many miles can be driven on one part of the tank, we need to divide the total miles by the number of parts. So, 304 miles / 91 parts = <<304/91=3.34>>3.34 miles can be driven on one part of the tank. ### Answer: 3.34
Expected answer: 304/91
Correct? No
Problem: A shop sells ice skates at 25 dollars a pair. They are having a sale where all ice skates are increased by 8 dollars. How much would a pair of ice skates cost during the sale?
Gemma 2B:
Reasoning: The price of a pair of ice skates is increased by 8 dollars, so the new price is 25+8 = <<25+8=33>>33 dollars. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In the previous scenario, the shop sells ice skates at 25 dollars a pair on sale. After the increase, a pair of ice skates is priced at 33 dollars. If a customer only has 70 dollars, how much money will they have left after buying a pair of ice skates during the sale?
Gemma 2B:
Reasoning: The customer has 70 dollars and the price of a pair of ice skates is 33 dollars. So, the customer will have 70-33 = <<70-33=37>>37 dollars left after buying a pair of ice skates. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In the previous scenario, the price of ice skates was 25 dollars a pair before the price increase. Now, consider a scenario where the original price of the ice skates was 79 dollars a pair instead of 25 dollars. If the price was increased by the same amount, 8 dollars, how much would a pair of ice skates cost now?
Gemma 2B:
Reasoning: The price of a pair of ice skates is increased by 8 dollars, so the new price is 79+8 = <<79+8=87>>87 dollars. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: A river flows at a speed of 96 miles per day. How far would it have travelled in 31 days?
Gemma 2B:
Reasoning: The river flows at a speed of 96 miles per day. In 31 days, it would have travelled 96*31 = <<96*31=2992>>2992 miles. ### Answer: 2992
Expected answer: 2976
Correct? No
Problem: A manufacturer produces 46 blankets each day. After 43 days, an additional 42 blankets were donated to the manufacturer. How many blankets does the manufacturer now have in total?
Gemma 2B:
Reasoning: The manufacturer produces 46 blankets each day for 43 days, so the total number of blankets produced is 46*43 = <<46*43=1918>>1918 blankets. After 43 days, the manufacturer received an additional 42 blankets, so the total number of blankets is now 1918+42 = <<1918+42=1960>>1960 blankets. ### Answer: 1960
Expected answer: 2020
Correct? No
Problem: A particular star emits light at a velocity of 1095 miles per second. If this velocity were divided by 73, what would be the resulting speed of the light emitted by the star?
Gemma 2B:
Reasoning: The problem asks for the speed of light emitted by the star if the current velocity is divided by 73. Solution: To find the resulting speed of the light emitted by the star, we need to divide the current velocity by 73. The current velocity of the light emitted by the star is 1095 miles per second. So, the resulting speed of the light emitted by the star would be 1095/73 miles per second. 1095/73 = 15 miles per second. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Following our previous scenario, let's consider that instead of dividing by 73, the velocity of the star's light was divided by 42. What would be the resulting speed of the light emitted by the star, given this new calculation?
Gemma 2B:
Reasoning: The problem asks for the speed of light emitted by the star if the current velocity is divided by 42. Solution: To find the resulting speed of the light emitted by the star, we need to divide the current velocity by 42. The current velocity of the light emitted by the star is 1095 miles per second. So, the resulting speed of the light emitted by the star would be 1095/42 miles per second. 1095/42 = 26 miles per second. ### Answer: 26
Expected answer: 365/14
Correct? No
Problem: A lemon tree produces 99 lemons every year. After 51 years, a massive wind storm passes through the area and removes 84 lemons from the total number of lemons the tree produced. How many lemons did the lemon tree produce after the wind storm?
Gemma 2B:
Reasoning: The lemon tree produces 99 lemons every year, so after 51 years, it would have produced 99*51 = <<99*51=4995>>4995 lemons. After the wind storm, 84 lemons were removed from the total, so the lemon tree produced 4995-84 = <<4995-84=4911>>4911 lemons after the wind storm. ### Answer: 4911
Expected answer: 4965
Correct? No
Problem: John had 4 packs of building blocks and each pack contains 89 blocks. After losing 72 blocks while playing, how many blocks does John have now?
Gemma 2B:
Reasoning: John had 4*89 = <<4*89=356>>356 blocks. John has 356-72 = <<356-72=284>>284 blocks now. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: Instead of the initial 89 blocks in each pack, John found out that 41 blocks were in each of his 4 packs. After losing 72 blocks, how many blocks does John have now?
Gemma 2B:
Reasoning: John had 4*41 = <<4*41=164>>164 blocks. John has 164-72 = <<164-72=92>>92 blocks now. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: On a particular beach, 5544 seashells are evenly distributed across 72 meters of sand. How many seashells are there on average for every meter of the beach?
Gemma 2B:
Reasoning: To find the average number of seashells per meter, we need to divide the total number of seashells by the total length of the beach. Average seashells per meter = Total seashells / Total length of the beach Average seashells per meter = 5544 / 72 Average seashells per meter = 77 So, on average, there are 77 seashells for every meter of the beach. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a revised count, it was discovered that the seashells were actually spread over 92 meters of the beach instead of 72 meters as previously thought. Now, how many seashells are there on average for each meter of the beach?
Gemma 2B:
Reasoning: To find the average number of seashells per meter, we need to divide the total number of seashells by the total length of the beach. Average seashells per meter = Total seashells / Total length of the beach Average seashells per meter = 5544 / 92 Average seashells per meter = 60 So, on average, there are 60 seashells for every meter of the beach. ### Answer: 60
Expected answer: 1386/23
Correct? No
Problem: There are 82 animals in the zoo. If 67 animals are birds, how many animals in the zoo are not birds?
Gemma 2B:
Reasoning: There are 82-67 = <<82-67=15>>15 animals in the zoo that are not birds. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a revision to the previous count, it turns out there were only 38 birds instead of 67 at the zoo originally. Given this, how many animals in the zoo were not birds?
Gemma 2B:
Reasoning: There are 82-38 = <<82-38=44>>44 animals in the zoo that are not birds. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A construction company builds 36 houses every month. If they kept this pace up for 46 months, how many houses would they have built over this time?
Gemma 2B:
Reasoning: The construction company builds 36*46 = <<36*46=1656>>1656 houses over 46 months. ### Answer: 1656
Expected answer: 1656
Correct? Yes
Problem: In the same construction company's new plan, instead of building 36 houses they are planning to build 75 houses a month. If they managed to keep up this pace for the same period of 46 months, how many houses would they have built in total with this increased productivity?
Gemma 2B:
Reasoning: The construction company builds 75*46 = <<75*46=3450>>3450 houses over 46 months. ### Answer: 3450
Expected answer: 3450
Correct? Yes
Problem: A window factory has a goal to produce 1767 windows within a month. If the factory operates 31 days a month, how many windows does it need to produce each day to meet its goal?
Gemma 2B:
Reasoning: The factory needs to produce 1767/31 = <<1767/31=57>>57 windows each day to meet its goal. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Continuing from the previous situation, suppose the factory decided to cut down its monthly goal and now aims to produce only 50 windows in a month. Based on this new target, how many windows does the factory need to produce each day if it still operates for 31 days in a month?
Gemma 2B:
Reasoning: The factory needs to produce 50/31 = <<50/31=1.6129032258064516>>1.61 windows each day to meet its new goal. ### Answer: 1.61
Expected answer: 50/31
Correct? No
Problem: A TV series has just been renewed for its third season. The 1st season had 66 episodes, the 2nd season had 67 episodes, and now 8 episodes of the 3rd season have been aired. How many episodes have aired in total?
Gemma 2B:
Reasoning: The total number of episodes aired in the first two seasons is 66 + 67 = <<66+67=133>>133 episodes. Adding the 8 episodes of the 3rd season, the total number of episodes aired is 133 + 8 = <<133+8=141>>141 episodes. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: After the 8 episodes of the 3rd season were aired, the TV series continued to air more episodes. In the remaining part of the 3rd season, they aired 80 episodes. They have also just finished airing all the 82 episodes of the 4th season. How many episodes have aired in total now?
Gemma 2B:
Reasoning: The total number of episodes aired in the first two seasons is 66 + 67 = <<66+67=133>>133 episodes. Adding the 8 episodes of the 3rd season, the total number of episodes aired is 133 + 8 = <<133+8=141>>141 episodes. Adding the 80 episodes of the remaining part of the 3rd season, the total number of episodes aired is 141 + 80 = <<141+80=221>>221 episodes. Adding the 82 episodes of the 4th season, the total number of episodes aired is 221 + 82 = <<221+82=303>>303 episodes. ### Answer: 303
Expected answer: 303
Correct? Yes
Problem: Let's imagine that in the first two seasons of the TV series there were fewer episodes than we initially thought. The 1st season had 66 episodes and the second season only had 8. After 8 more episodes of the 3rd season aired, how many total episodes have aired so far?
Gemma 2B:
Reasoning: The total number of episodes aired in the first two seasons is 66 + 8 = <<66+8=74>>74 episodes. Adding the 8 episodes of the 3rd season, the total number of episodes aired is 74 + 8 = <<74+8=82>>82 episodes. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: At the end of a rainbow, a leprechaun is guarding a pot of gold coins. He adds 39 gold coins to the pot, then another 47. However, while he is distracted, a fairy takes away 8 gold coins from the pot. The new total of coins becomes a code to a magical lock. The code must be enhanced by adding 48 to it only once, and then multiplied by 24. What is the final value to unlock the magical lock?
Gemma 2B:
Reasoning: The leprechaun adds 39 gold coins to the pot, then another 47, so the total number of coins added is 39+47 = <<39+47=86>>86. The fairy takes away 8 gold coins from the pot, so the total number of coins remaining is 86-8 = <<86-8=78>>78. The code to unlock the magical lock is the total number of coins remaining, which is 78. To enhance the code, we add 48 to it, so the new code is 78+48 = <<78+48=126>>126. Finally, we multiply the enhanced code by 24, so the final value to unlock the magical lock is 126*24 = <<126*24=3024>>3024. ### Answer: 3024
Expected answer: 3024
Correct? Yes
Problem: The leprechaun realizes that there was a mistake in the first part of his magical lock code. Instead of multiplying the initial set of gold coin count by 24 after adding 48, he should have multiplied it by 29. Given this new information, what should be the correct initial value to unlock the magical lock?
Gemma 2B:
Reasoning: The leprechaun adds 39 gold coins to the pot, then another 47, so the total number of coins added is 39+47 = <<39+47=86>>86. The fairy takes away 8 gold coins from the pot, so the total number of coins remaining is 86-8 = <<86-8=78>>78. The code to unlock the magical lock is the total number of coins remaining, which is 78. To enhance the code, we add 48 to it, so the new code is 78+48 = <<78+48=126>>126. Finally, we multiply the enhanced code by 29, so the final value to unlock the magical lock is 126*29 = <<126*29=3614>>3614. ### Answer: 3614
Expected answer: 3654
Correct? No
Problem: John has 98 dollars in his wallet. He found a 35-dollar bill on the ground and added it to his wallet. However, he then spent 38 dollars on lunch. How much money does he have left in his wallet now?
Gemma 2B:
Reasoning: John had 98 dollars in his wallet. He found a 35-dollar bill and added it to his wallet, so he had 98+35 = <<98+35=133>>133 dollars. He then spent 38 dollars on lunch, so he has 133-38 = <<133-38=95>>95 dollars left in his wallet. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Following the previous scenarios, let's reconsider the scenario like this: suppose the amount that John decided to spend on lunch was not 38 dollars, but actually 68 dollars. How much money does he have left in his wallet after this change?
Gemma 2B:
Reasoning: John had 98 dollars in his wallet. He found a 35-dollar bill and added it to his wallet, so he had 98+35 = <<98+35=133>>133 dollars. He then spent 68 dollars on lunch, so he has 133-68 = <<133-68=65>>65 dollars left in his wallet. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: A bottling factory fills 3840 bottles every hour. How many bottles does it fill every minute?
Gemma 2B:
Reasoning: There are 60 minutes in an hour. So, the factory fills 3840/60 = <<3840/60=64>>64 bottles every minute. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the bottling factory, an upgrade to the machines increases the manufacturing speed by 19 bottles per minute. After the upgrade, how many bottles does the factory fill every minute?
Gemma 2B:
Reasoning: The factory fills 64 bottles every minute. After the upgrade, the factory fills 64+19 = <<64+19=83>>83 bottles every minute. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: In the bottling factory, imagine that before the upgrade, the machinery was even slower, filling bottles at a rate of 3840 bottles every 18 hours, instead of 60 minutes. How many bottles were being filled every hour in that case?
Gemma 2B:
Reasoning: There are 18 hours in a day. So, the factory filled 3840/18 = <<3840/18=213.33333333333333>>213.33 bottles every hour. ### Answer: 213.33
Expected answer: 640/3
Correct? No
Problem: In a mystical world, a dragon has 1702 treasures in his cave. If he divides these treasures among his 37 faithful gnomes and then decides to add another 49 treasures to each one, how many treasures does each gnome now have?
Gemma 2B:
Reasoning: First, we need to find out how many treasures each gnome gets initially. The dragon has 1702 treasures and he wants to divide them among 37 gnomes. So, each gnome gets 1702/37 = <<1702/37=45.972>>45.972 treasures initially. Next, the dragon decides to add another 49 treasures to each gnome. So, each gnome now has 45.972 + 49 = <<45.972+49=94.972>>94.972 treasures. Since we can't have a fraction of a treasure, we need to round the number of treasures each gnome has to the nearest whole number. Rounding 94.972, we get 95 treasures. So, each gnome now has 95 treasures.
Expected answer: 95
Correct? Yes
Problem: If a frog can hop 192 inches in total and on average, hops 6 inches per single leap, how many leaps does it take for the frog to reach the end of its journey?
Gemma 2B:
Reasoning: The frog hops 192/6 = <<192/6=32>>32 leaps to reach the end of its journey. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Continuing from the previous scenario, let's say the frog has increased its leaping ability and can now hop 83 inches in total with an average of 6 inches per leap. How many leaps does it take for the frog to complete this new journey?
Gemma 2B:
Reasoning: The frog hops 83/6 = <<83/6=13.833333333333334>>14 leaps to reach the end of its journey. ### Answer: 14
Expected answer: 83/6
Correct? No
Problem: A cheese factory produces 5865 kg of cheese evenly over 85 days. How much cheese does the factory produce each day?
Gemma 2B:
Reasoning: To find out how much cheese the factory produces each day, we need to divide the total amount of cheese produced by the number of days. Solution: The factory produces 5865 kg of cheese / 85 days = <<5865/85=70>>70 kg of cheese each day. Answer: 70
Expected answer: 69
Correct? No
Problem: A cucumber farm yields 2592 cucumbers per 54 plants. If a section of the farm grows 38 plants, subtracting the 74 cucumbers that were damaged, how many cucumbers are available for sale?
Gemma 2B:
Reasoning: The yield per plant is 2592/54 = <<2592/54=48>>48 cucumbers. The number of cucumbers available for sale is 38*48 - 74 = <<38*48-74=1826>>1826. ### Answer: 1826
Expected answer: 1750
Correct? No
Problem: A toy car battery lasts 16 hours. However, if the car's lights are used, the battery life decreases by the equivalent of 36 divided by 9 hours. Assuming the toy car is run with the lights on for 12 full weeks, each week considered to be 60 hours, how long did the battery last?
Gemma 2B:
Reasoning: The battery life decreases by 36/9 = <<36/9=4>>4 hours when the car's lights are used. The toy car is run with the lights on for 12 weeks, each week considered to be 60 hours, so the total time the car is run with the lights on is 12 * 60 = <<12*60=720>>720 hours. The battery life decreases by 4 hours for each hour the car's lights are used, so the total decrease in battery life is 720 * 4 = <<720*4=2880>>2880 hours. The original battery life is 16 hours, so the battery life with the lights on is 16 - 2880 = <<16-2880=-2864>>-2864 hours. The battery life with the lights on is negative, which means the battery would have died before the car was run for 12 weeks. The answer is: 12
Expected answer: 8640
Correct? No
Problem: A hand-crafted leather wallet costs 2407 dollars. If you can pay this in 83 installments, how much money would each installment be?
Gemma 2B:
Reasoning: To find out how much each installment would be, we need to divide the total cost of the wallet by the number of installments. Calculating: Each installment would be 2407/83 = <<2407/83=29>>29 dollars. Answer: Each installment would be 29 dollars.
Expected answer: 29
Correct? Yes
Problem: If you decide to buy a simple keychain from the same craftsman instead, which costs the same as a single installment of your previous purchase, how much does it cost if each installment was 83 dollars divided by 83?
Gemma 2B:
Reasoning: The cost of the keychain is the same as a single installment of the previous purchase, which was 83 dollars divided by 83. Calculating: The cost of the keychain is 83/83 = <<83/83=1>>1 dollar. Answer: The keychain costs 1 dollar.
Expected answer: 1
Correct? Yes
Problem: A big grizzly bear feasts on 2726 ounces of salmon during a 58-day summer period. How much salmon does the bear eat each day on average?
Gemma 2B:
Reasoning: The bear eats 2726 ounces of salmon in 58 days. To find out how much salmon the bear eats each day on average, we need to divide the total amount of salmon by the number of days. So, the bear eats 2726/58 = <<2726/58=47>>47 ounces of salmon each day on average. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: In the original problem, the big grizzly bear ate 2726 ounces of salmon over a 58-day summer period. However, what would have been the daily average if the bear had eaten the same total amount of salmon but over a shorter 50-day period instead?
Gemma 2B:
Reasoning: The bear eats 2726 ounces of salmon in 50 days. To find out how much salmon the bear eats each day on average, we need to divide the total amount of salmon by the number of days. So, the bear eats 2726/50 = <<2726/50=54.52>>54.52 ounces of salmon each day on average. ### Answer: 54.52
Expected answer: 1363/25
Correct? Yes
Problem: A farmer has two patches of land. One patch yields 26 carrots and the other yields 16 carrots. If every day for 77 days, the farmer collects the same amount of carrots, how many carrots has the farmer collected in total?
Gemma 2B:
Reasoning: The farmer collects 26+16 = <<26+16=42>>42 carrots every day. In 77 days, the farmer collects 42*77 = <<42*77=3234>>3234 carrots. ### Answer: 3234
Expected answer: 3234
Correct? Yes
Problem: Let's consider the farmer's situation again. What if, instead of 77 days, the farmer only collected carrots from his patches of land for a period of 22 days. How many total carrots would he have collected from his patches during this time?
Gemma 2B:
Reasoning: The farmer collects 26+16 = <<26+16=42>>42 carrots every day. In 22 days, the farmer collects 42*22 = <<42*22=924>>924 carrots. ### Answer: 924
Expected answer: 924
Correct? Yes
Problem: A clothes store had 71 pairs of pants in stock at the beginning of the week. They received an additional shipment of 39 pairs, but then sold 54 pairs. How many pairs of pants does the store have in stock now?
Gemma 2B:
Reasoning: The store had 71+39 = <<71+39=110>>110 pairs of pants after the shipment. The store has 110-54 = <<110-54=56>>56 pairs of pants in stock now. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: A chef uses 483g of sugar to make 7 of her special cakes. How much sugar does she use for each cake?
Gemma 2B:
Reasoning: The chef uses 483g of sugar to make 7 cakes. To find out how much sugar she uses for each cake, we need to divide the total amount of sugar by the number of cakes. So, 483g / 7 cakes = 69g of sugar per cake. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: In the next batch, the chef decided to add an extra 25g of sugar to her special cake recipe to make it sweeter. How much sugar does she use now for each cake?
Gemma 2B:
Reasoning: The chef decided to add an extra 25g of sugar to her special cake recipe. So, the total amount of sugar she uses for the next batch is 483g + 25g = 508g. Since she is making the same number of cakes, we can divide the total amount of sugar by the number of cakes to find out how much sugar she uses for each cake. So, 508g / 7 cakes = 72.57g of sugar per cake. ### Answer: 72.57
Expected answer: 94
Correct? No
Problem: After receiving some feedback, the chef used less sugar in her next batch of cakes. She used only 65g for seven cakes. How much sugar does she use now for each cake?
Gemma 2B:
Reasoning: The chef used 65g of sugar for 7 cakes. To find out how much sugar she uses for each cake, we need to divide the total amount of sugar by the number of cakes. So, 65g / 7 cakes = 9.29g of sugar per cake. ### Answer: 9.29
Expected answer: 65/7
Correct? No
Problem: A kite maker has 41 blue, 63 red, and 57 green kites. If they give away 98 kites and create an additional 3 kites, how many kites does the maker have now?
Gemma 2B:
Reasoning: The kite maker had 41+63+57 = <<41+63+57=161>>161 kites. After giving away 98 kites, the kite maker has 161-98 = <<161-98=63>>63 kites. After creating 3 kites, the kite maker has 63+3 = <<63+3=66>>66 kites. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up with the earlier situation of the kite maker who had 41 blue, 63 red, and 57 green kites, gave away 98 kites, and created an additional 3 kites: If the kite maker decided to ramp up production and multiply their current inventory by 18, then add the original inventory to this increased production, how many kites would the they have now?
Gemma 2B:
Reasoning: The kite maker had 41+63+57 = <<41+63+57=161>>161 kites. After giving away 98 kites, the kite maker has 161-98 = <<161-98=63>>63 kites. After creating 3 kites, the kite maker has 63+3 = <<63+3=66>>66 kites. If the kite maker multiplies their current inventory by 18, they would have 66*18 = <<66*18=1188>>1188 kites. If the kite maker adds the original inventory to this increased production, they would have 1188+161 = <<1188+161=1349>>1349 kites. ### Answer: 1349
Expected answer: 1254
Correct? No
Problem: After the kite maker gave away some kites and made new ones, let's change the circumstances a bit. Instead of giving away 98 kites, they only gave away 19 kites. Taking into account that they still made an additional 3 kites, how many kites does the maker have now?
Gemma 2B:
Reasoning: The kite maker had 41+63+57 = <<41+63+57=161>>161 kites. After giving away 19 kites, the kite maker has 161-19 = <<161-19=142>>142 kites. After creating 3 kites, the kite maker has 142+3 = <<142+3=145>>145 kites. ### Answer: 145
Expected answer: 145
Correct? Yes
Problem: A teddy bear company produces 7644 teddy bears in a span of 91 days. How many teddy bears does the company approximately makes each day?
Gemma 2B:
Reasoning: The company makes 7644/91 = <<7644/91=84>>84 teddy bears each day. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After reviewing their production numbers, the teddy bear company realized that they actually produce 7644 teddy bears in a span of 50 days, not 91 days. How many teddy bears does the company approximately makes each day now?
Gemma 2B:
Reasoning: The company makes 7644/50 = <<7644/50=152.88>>152.88 teddy bears each day. ### Answer: 152.88
Expected answer: 3822/25
Correct? Yes
Problem: A train travels at a speed of 68 mph but due to certain restrictions, it had to slow down to 28 mph. Considering the travel time of 21 hours, calculate the impact on the total distance traveled by the train.
Gemma 2B:
Reasoning: Let's denote the time the train traveled at 68 mph as t1 and the time it traveled at 28 mph as t2. We know that t1 + t2 = 21 hours. Let's denote the distance traveled at 68 mph as d1 and the distance traveled at 28 mph as d2. We know that d1 = 68 * t1 and d2 = 28 * t2. The total distance traveled is d1 + d2. We can use the equation t1 + t2 = 21 to find the value of t1 and t2. t1 = 21 - t2 Substituting this into the equation for d1, we get: d1 = 68 * (21 - t2) Now, we can substitute this into the equation for the total distance: Total distance = d1 + d2 = 68 * (21 - t2) + 28 * t2 We want to find the impact on the total distance, so we need to find the difference between the total distance when the train travels at 68 mph for the entire 21 hours and the total distance when it slows down to 28 mph for some time. Total distance when traveling at 68 mph for 21 hours = 68 * 21 Total distance when slowing down to 28 mph for some time = 68 * (21 - t2) + 28 * t2 Impact on the total distance = Total distance when traveling at 68 mph for 21 hours - Total distance when slowing down to 28 mph for some time Impact on the total distance = 68 * 21 - (68 * (21 - t2) + 28 * t2) Impact on the total distance = 1428 - (68 * 21 - 68 * t2 + 28 * t2) Impact on the total distance = 1428 - (1428 - 40 * t2) Impact on the total distance = 40 * t2 Since t1 + t2 = 21, we know that t2 = 21 - t1. We can substitute this into the equation for the impact on the total distance: Impact on the total distance = 40 * (21 - t1) Now, we can find the maximum impact on the total distance by maximizing t1. Since t1 + t2 = 21, the maximum value of t1 is 21, which occurs when t2 = 0. Impact on the total distance = 40 * (21 - 21) = 0 So, the impact on the total distance is 0.
Expected answer: 840
Correct? No
Problem: An alien spacecraft traveled 95 light-years to reach Earth, but had to stop 70 light-years along the way at a space buoy for refueling. How many light-years did it travel after refueling to reach Earth?
Gemma 2B:
Reasoning: The alien spacecraft traveled 95-70 = <<95-70=25>>25 light-years after refueling to reach Earth. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: The alien spaceship initially traveled 95 light-years to reach Earth. But let's consider a scenario where they could only stop 60 light-years along the way at a space buoy for refueling instead of 70 light-years. In that case, how many light-years would the spaceship have to travel after refueling to reach Earth?
Gemma 2B:
Reasoning: The alien spacecraft would have to travel 95-60 = <<95-60=35>>35 light-years after refueling to reach Earth. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: In a popular game, a character starts with a health value of 82. After being attacked by a rival character, his health value decreases by 69. What is the character's remaining health value?
Gemma 2B:
Reasoning: The character's health value decreases by 69, so we subtract 69 from the starting health value of 82. 82 - 69 = <<82-69=13>>13 The character's remaining health value is 13. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In our previous scenario, the character started with a health value of 82. What if, instead of being attacked and losing 69 health points, he was attacked by a weaker rival character and only lost 33 health points. What would be the character's remaining health value in this new scenario?
Gemma 2B:
Reasoning: The character's health value decreases by 33, so we subtract 33 from the starting health value of 82. 82 - 33 = <<82-33=49>>49 The character's remaining health value is 49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A designer creates 77 dresses in a week and sells them for $16 each. After a week, he subtracts a cost of $27 for fabric damage. How much did the designer earn after accounting for the fabric damage?
Gemma 2B:
Reasoning: The designer earned 77*16 = <<77*16=1232>>1232 dollars from selling the dresses. After accounting for the fabric damage, the designer earned 1232-27 = <<1232-27=1205>>1205 dollars. ### Answer: 1205
Expected answer: 1205
Correct? Yes
Problem: A snail travels 66 inches in a day. In addition to that, the snail extracted energy from 704 lettuce leaves over 22 days, allowing it to move an additional inch per day. How far in inches does the snail travel in a day with the additional energy?
Gemma 2B:
Reasoning: The snail travels 66 inches in a day. The snail also moves an additional inch per day with the additional energy from the lettuce leaves. So, the snail travels 66+1 = <<66+1=67>>67 inches in a day with the additional energy. ### Answer: 67
Expected answer: 98
Correct? No
Problem: A cake recipe calls for using 65 grams of sugar. If a bakery prepares 29 such cakes and then adds 46 more grams for frosting, how many grams of sugar did they use in total?
Gemma 2B:
Reasoning: The bakery used 65*29 = <<65*29=1885>>1885 grams of sugar for the cakes. They used 1885+46 = <<1885+46=1931>>1931 grams of sugar in total. ### Answer: 1931
Expected answer: 1931
Correct? Yes
Problem: A skateboard company makes 36 freestyle skateboards and 92 downhill skateboards in a day. How many skateboards does it make in total in a day?
Gemma 2B:
Reasoning: The skateboard company makes 36+92 = <<36+92=128>>128 skateboards in total in a day. ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: The skateboard company decides to extend its production over 21 days but had to discard 65 skateboards due to quality issues. How many skateboards did they make in the span of these 21 days after discarding the faulty ones?
Gemma 2B:
Reasoning: The skateboard company makes 128 skateboards per day. So, in 21 days, they would make 128*21 = <<128*21=2688>>2688 skateboards. After discarding 65 skateboards, they have 2688-65 = <<2688-65=2623>>2623 skateboards. ### Answer: 2623
Expected answer: 2623
Correct? Yes
Problem: Suppose now the company produces 82 freestyle skateboards instead of 36, while still producing 92 downhill skateboards daily. How many skateboards does it make in total in a day?
Gemma 2B:
Reasoning: The skateboard company now makes 82+92 = <<82+92=174>>174 skateboards in total in a day. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: A café sells hot chocolate for 42 dollars per cup. One day, they sold 78 cups of hot chocolate and made an extra 58 dollars from selling marshmallows. What is the total revenue of that day from selling hot chocolate and marshmallows?
Gemma 2B:
Reasoning: The café made 42*78 = <<42*78=3276>>3276 dollars from selling hot chocolate. The total revenue of that day from selling hot chocolate and marshmallows is 3276+58 = <<3276+58=3334>>3334 dollars. ### Answer: 3334
Expected answer: 3334
Correct? Yes
Problem: The café also has another branch. If the other branch also made the same amount of money from selling hot chocolate and marshmallows in a day, what would be the total revenue from both branches?
Gemma 2B:
Reasoning: The total revenue from both branches would be 3334*2 = <<3334*2=6668>>6668 dollars. ### Answer: 6668
Expected answer: 6668
Correct? Yes
Problem: Suppose that on another day, the café priced their hot chocolate differently: they sold it for 42 dollars per cup but only sold 78 cups, and made an additional 24 dollars from selling marshmallows. What would be the total revenue of that day?
Gemma 2B:
Reasoning: The café made 42*78 = <<42*78=3276>>3276 dollars from selling hot chocolate. The total revenue of that day from selling hot chocolate and marshmallows is 3276+24 = <<3276+24=3300>>3300 dollars. ### Answer: 3300
Expected answer: 3300
Correct? Yes
Problem: A river tour boat can hold 58 adults. If an additional 4 children can also board the boat, what is the total number of passengers the boat can carry?
Gemma 2B:
Reasoning: The boat can carry 58 adults + 4 children = <<58+4=62>>62 passengers. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Suppose that the river tour boat could originally only hold 58 adults. It has now been modified to increase its capacity by 3 more adults. Taking this into account, how many total adults can the boat hold now?
Gemma 2B:
Reasoning: The boat can now hold 58 adults + 3 adults = <<58+3=61>>61 adults. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If a monkey gets ((360 bananas / 12 months) + 16 extra bananas) per month, how many bananas does the monkey get in a month?
Gemma 2B:
Reasoning: The monkey gets 360 bananas / 12 months = <<360/12=30>>30 bananas per month. The monkey gets 30 bananas + 16 extra bananas = <<30+16=46>>46 bananas in a month. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: If in the next month, the monkey received additional bananas, bringing its total to ((360 bananas / 12 months) + 16 extra bananas + 79 more bananas) but then 67 of them were stolen, how many bananas does the monkey have now?
Gemma 2B:
Reasoning: The monkey received 360 bananas / 12 months = <<360/12=30>>30 bananas per month. The monkey received 30 bananas + 16 extra bananas + 79 more bananas = <<30+16+79=125>>125 bananas in total. The monkey had 125 bananas - 67 stolen bananas = <<125-67=58>>58 bananas left. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: What if, instead of getting 360 bananas a year, the monkey only got 360 bananas every 20 months? If the monkey also got 16 extra bananas per month, how many bananas would the monkey get in a month?
Gemma 2B:
Reasoning: The monkey gets 360 bananas / 20 months = <<360/20=18>>18 bananas per month. The monkey gets 18 bananas + 16 extra bananas = <<18+16=34>>34 bananas in a month. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: A starfish has 5 arms. If there were 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Gemma 2B:
Reasoning: If the starfish has 5 arms, then the circle would be divided into 5 equal sections. To find the number of degrees in each section, we divide the total number of degrees in a circle (360) by the number of sections (5). 360 degrees / 5 sections = 72 degrees per section. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Continuing from the previous problem, what if the starfish was an unusual species with 17 arms instead of 5? If there were still 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Gemma 2B:
Reasoning: If the starfish has 17 arms, then the circle would be divided into 17 equal sections. To find the number of degrees in each section, we divide the total number of degrees in a circle (360) by the number of sections (17). 360 degrees / 17 sections = 21.18 degrees per section. ### Answer: 21.18
Expected answer: 360/17
Correct? No
Problem: There's a toy store that has 26 stuffed rabbits. If they decide to order an additional 84 stuffed rabbits and 36 stuffed bears, how many stuffed animals will they have in total?
Gemma 2B:
Reasoning: The toy store has 26+84 = <<26+84=110>>110 stuffed rabbits. The toy store has 110+36 = <<110+36=146>>146 stuffed animals in total. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: The toy store received a special toy order of 1 rare stuffed panda in addition to their previous order. After adding the special order, how many stuffed animals will the toy store have in total?
Gemma 2B:
Reasoning: The toy store has 146+1 = <<146+1=147>>147 stuffed animals in total. ### Answer: 147
Expected answer: 147
Correct? Yes
Problem: On Monday, Rachel watched 35 minutes of TV. On Tuesday, she watched 48 minutes in the morning and 13 more in the evening. How many minutes of TV did Rachel watch on both days?
Gemma 2B:
Reasoning: Rachel watched 48+13 = <<48+13=61>>61 minutes of TV on Tuesday. Rachel watched 35+61 = <<35+61=96>>96 minutes of TV on both days. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: On Wednesday, Rachel watched 68 minutes of TV but decided to reduce her screen time by the amount she had watched on Monday. How many total minutes of TV did Rachel watch on Monday, Tuesday and Wednesday after reducing her Wednesday screen time?
Gemma 2B:
Reasoning: Rachel reduced her Wednesday screen time by 35 minutes, so she watched 68-35 = <<68-35=33>>33 minutes of TV on Wednesday. Rachel watched 35+61+33 = <<35+61+33=129>>129 minutes of TV on Monday, Tuesday and Wednesday after reducing her Wednesday screen time. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: If on Monday instead of watching 35 minutes of TV, Rachel watched 37 minutes. Then, how many total minutes of TV did she watch on Monday and Tuesday?
Gemma 2B:
Reasoning: Rachel watched 37 minutes of TV on Monday. Rachel watched 48 minutes in the morning and 13 more in the evening on Tuesday. Rachel watched 37+48+13 = <<37+48+13=98>>98 minutes of TV on Monday and Tuesday. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: A door manufacturing company can produce 2340 doors over a 90-day period. How many doors can the company produce in one day?
Gemma 2B:
Reasoning: The company can produce 2340/90 = <<2340/90=26>>26 doors in one day. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A little mouse had stored 91 pieces of cheese for winter, but a thief mouse stole 77 pieces. The little mouse found 22 more pieces and a kind mouse gave him 12 more. How many pieces of cheese does the little mouse have now?
Gemma 2B:
Reasoning: The little mouse had 91-77 = <<91-77=14>>14 pieces of cheese left after the thief mouse stole some. The little mouse found 14+22 = <<14+22=36>>36 pieces of cheese. The little mouse received 36+12 = <<36+12=48>>48 pieces of cheese from the kind mouse. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A dolphin needs to have approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. If a dolphin's diet remained unchanged for 59 days, how much fish and squid in total, in kilograms, would the dolphin need?
Gemma 2B:
Reasoning: The dolphin needs 96 kilograms of fish and 22 kilograms of squid every day. For 59 days, the dolphin would need 96*59 = <<96*59=5664>>5664 kilograms of fish. For 59 days, the dolphin would need 22*59 = <<22*59=1298>>1298 kilograms of squid. In total, the dolphin would need 5664+1298 = <<5664+1298=6962>>6962 kilograms of fish and squid. ### Answer: 6962
Expected answer: 6962
Correct? Yes
Problem: Earlier we calculated that a dolphin needs approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. But what if instead, each day the dolphin had 96 kilograms of fish and only 8 kilograms of squid? Then, how much total food in kilograms would the dolphin need if it ate this diet unchanged for 59 days?
Gemma 2B:
Reasoning: The dolphin needs 96 kilograms of fish and 8 kilograms of squid every day. For 59 days, the dolphin would need 96*59 = <<96*59=5664>>5664 kilograms of fish. For 59 days, the dolphin would need 8*59 = <<8*59=472>>472 kilograms of squid. In total, the dolphin would need 5664+472 = <<5664+472=6136>>6136 kilograms of fish and squid. ### Answer: 6136
Expected answer: 6136
Correct? Yes
Problem: If Mandy has 18 building blocks and she received another 43, then decided to multiply the total by the initial number she had, how many building blocks would she have in the end?
Gemma 2B:
Reasoning: Mandy received 43 building blocks, so she had 18+43 = <<18+43=61>>61 building blocks. Mandy multiplied the total by the initial number she had, so she had 61*18 = <<61*18=1098>>1098 building blocks in the end. ### Answer: 1098
Expected answer: 1098
Correct? Yes
Problem: Following the previous problem, if Mandy decides to multiply the numbers of the building blocks she ends up with by the result of dividing 215 by 43, how many building blocks would she have then?
Gemma 2B:
Reasoning: Mandy has 1098 building blocks. Mandy divides 215 by 43, which equals 5. Mandy multiplies the number of building blocks by 5, so she has 1098*5 = <<1098*5=5490>>5490 building blocks. ### Answer: 5490
Expected answer: 5490
Correct? Yes
Problem: Continuing with the previous problem, suppose Mandy initially had 18 building blocks and received another 55, instead of the original 43. If she then multiplies the total by the initial 18 building blocks she had, how many building blocks would she have now?
Gemma 2B:
Reasoning: Mandy received 55 building blocks, so she had 18+55 = <<18+55=73>>73 building blocks. Mandy multiplied the total by the initial number she had, so she had 73*18 = <<73*18=1314>>1314 building blocks in the end. ### Answer: 1314
Expected answer: 1314
Correct? Yes
Problem: A ballerina practices for (28 - 11) hours a day, and she practices 10 times more on weekends. How much does she practice on weekends?
Gemma 2B:
Reasoning: The ballerina practices for 28-11 = <<28-11=17>>17 hours a day. On weekends, she practices 17*10 = <<17*10=170>>170 hours. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Suppose our ballerina decided to lessen her weekend practices to (28 - 11) hours but increased the frequency to 66 times. How many hours did she practice in total on the weekends now?
Gemma 2B:
Reasoning: The ballerina now practices for 28-11 = <<28-11=17>>17 hours on weekends. She practices 17*66 = <<17*66=1122>>1122 hours in total on the weekends now. ### Answer: 1122
Expected answer: 1122
Correct? Yes
Problem: A deck of special cards contains 59 different kinds of cards, and for each kind, there are 49 cards. How many total cards are there in this deck?
Gemma 2B:
Reasoning: There are 59 different kinds of cards, and for each kind, there are 49 cards. So, the total number of cards in the deck is 59 * 49 = <<59*49=2851>>2851. ### Answer: 2851
Expected answer: 2891
Correct? No
Problem: A farmer has a field where he grows grapevines. He has added 93 new vines to his field and 73 more after that. Unfortunately, 92 of the vines have died. How many vines does he have now?
Gemma 2B:
Reasoning: The farmer added 93+73 = <<93+73=166>>166 vines to his field. The total number of vines he had before some died is 166+93 = <<166+93=259>>259. After 92 vines died, he has 259-92 = <<259-92=167>>167 vines. ### Answer: 167
Expected answer: 74
Correct? No
Problem: A blanket factory makes 13 blankets in the morning and 81 in the afternoon, but returns 59 due to defects. Each blanket is sold at a price equal to 39 times the total number of good blankets they have, plus the number of good blankets. What's the total value of the blankets they've sold?
Gemma 2B:
Reasoning: The factory made 13 + 81 = <<13+81=94>>94 blankets in total. They returned 59 blankets, so they have 94 - 59 = <<94-59=35>>35 good blankets. The price of each blanket is 39 * 35 + 35 = <<39*35+35=1390>>1390. The total value of the blankets they've sold is 35 * 1390 = <<35*1390=48650>>48650. ### Answer: 48650
Expected answer: 1400
Correct? No
Problem: A bus travels a distance of 1300 miles. If it does so in 20 equal stages, how many miles does the bus travel per stage?
Gemma 2B:
Reasoning: The bus travels 1300 miles in 20 equal stages. To find out how many miles the bus travels per stage, we divide the total distance by the number of stages. So, 1300 miles / 20 stages = 65 miles per stage. The answer is: 65
Expected answer: 65
Correct? Yes
Problem: A region usually receives 53 inches of rain each year. However, in a certain year, it only received 7 inches less than the usual amount. How many inches of rain did it receive that year?
Gemma 2B:
Reasoning: The region received 53-7 = <<53-7=46>>46 inches of rain that year. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Suppose the region actually usually receives 69 inches of rain each year, instead of 53 as we previously thought. If it still received 7 inches less than the usual amount in the year we're considering, how many inches of rain did it receive that year?
Gemma 2B:
Reasoning: The region received 69-7 = <<69-7=62>>62 inches of rain that year. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a complicated mechanical watch, there are 98 gears in the main mechanism and 61 gears in a side mechanism. After service, a watchmaker removed 80 gears from the watch. How many gears are there left in the watch now?
Gemma 2B:
Reasoning: There are 98+61 = <<98+61=159>>159 gears in the watch before service. After service, there are 159-80 = <<159-80=79>>79 gears left in the watch. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: Originally, the watchmaker removed 80 gears from the watch, leaving a certain number of gears. But what if the watchmaker only removed 8 gears instead of 80 from the total of 98 gears in the main mechanism and 61 gears in a side mechanism? How many gears would remain in the watch?
Gemma 2B:
Reasoning: There are 98+61 = <<98+61=159>>159 gears in the watch before service. If the watchmaker only removed 8 gears, then there would be 159-8 = <<159-8=151>>151 gears left in the watch. ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: A company manufactures 1462 binoculars and distributes them equally among 43 stores. After subtracting 25 defective pieces from each store's stock, how many binoculars does each store end up with?
Gemma 2B:
Reasoning: The company manufactures 1462 binoculars and distributes them equally among 43 stores, so each store gets 1462/43 = <<1462/43=33.97674418604651>>33.97674418604651 binoculars. After subtracting 25 defective pieces from each store's stock, each store ends up with 33.97674418604651 - 25 = <<33.97674418604651-25=8.97674418604651>>8.97674418604651 binoculars. Since we can't have a fraction of a binocular, each store ends up with 8 binoculars. ### Answer: 8
Expected answer: 9
Correct? No
Problem: A camera shop stocks 25 DSLR cameras. They receive a delivery of 71 new DSLR cameras and for promotional reasons, the shop decides to multiply the total number of cameras by 77. How many cameras does the shop have for promotion?
Gemma 2B:
Reasoning: The shop has 25+71 = <<25+71=96>>96 cameras after the delivery. The shop has 96*77 = <<96*77=7416>>7416 cameras for promotion. ### Answer: 7416
Expected answer: 7392
Correct? No
Problem: On average, a construction company can build 1425 square feet of a house in 19 days. If they worked for 14 days, how many square feet would they have built?
Gemma 2B:
Reasoning: The construction company can build 1425 square feet of a house in 19 days. To find out how many square feet they would have built in 14 days, we can set up a proportion. 1425 square feet is to 19 days as x square feet is to 14 days. We can set up the proportion as follows: 1425/19 = x/14 To solve for x, we can cross multiply: 1425 * 14 = 19 * x 20050 = 19x Dividing both sides by 19, we get: x = 20050/19 x = 1055.26 Since the number of square feet cannot be a decimal, we can round it to the nearest whole number. Therefore, the construction company would have built approximately 1055 square feet in 14 days. ### Answer: 1055
Expected answer: 1050
Correct? No
Problem: A farmer starts the day with 18 tomatoes in his basket. By midday, he manages to harvest some more, bringing the total to 18 + 82 tomatoes in the basket. Unfortunately, 37 of these tomatoes are deemed unsellable because they are not ripe enough. How many tomatoes does the farmer have left in the basket that are ready to sell?
Gemma 2B:
Reasoning: The farmer starts with 18 tomatoes and harvests 82 more, so he has 18 + 82 = <<18+82=100>>100 tomatoes in total. Out of these, 37 are not ripe enough to sell, so the farmer has 100 - 37 = <<100-37=63>>63 tomatoes left that are ready to sell. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In a similar situation as before, the farmer started his day with a different quantity of 95 tomatoes in his basket. Just like the previous day, by midday, he managed to harvest some more, bringing the total to 95 + 82 tomatoes in the basket. Unfortunately, he found that 37 of these tomatoes were not ripe enough to sell. How many ripe tomatoes did the farmer have left in his basket after this day?
Gemma 2B:
Reasoning: The farmer starts with 95 tomatoes and harvests 82 more, so he has 95 + 82 = <<95+82=177>>177 tomatoes in total. Out of these, 37 are not ripe enough to sell, so the farmer has 177 - 37 = <<177-37=140>>140 ripe tomatoes left in his basket. ### Answer: 140
Expected answer: 140
Correct? Yes
Problem: In a soap manufacturing factory, they create soap in large blocks that are then cut into smaller bars. If each large block can be cut into 1424 bars of soap, but they package the soap in bundles of 16 bars each, how many packages can they make from one large block of soap?
Gemma 2B:
Reasoning: If each large block can be cut into 1424 bars of soap, and they package the soap in bundles of 16 bars each, then the number of packages they can make from one large block of soap is 1424/16. Calculating the number of packages: 1424/16 = 89 So, they can make 89 packages from one large block of soap. ### Answer: 89
Expected answer: 89
Correct? Yes
Problem: Continuing from the initial situation in the soap manufacturing factory, suppose now they have decided to cut the large soap blocks into smaller bars such that each block can now be cut into 1424 bars of soap. However, this time they plan to package the soap in bundles of 36 bars each instead of 16. How many packages can they make from one large block of soap under this new arrangement?
Gemma 2B:
Reasoning: If each large block can now be cut into 1424 bars of soap, and they package the soap in bundles of 36 bars each, then the number of packages they can make from one large block of soap is 1424/36. Calculating the number of packages: 1424/36 = 39.56 Since they cannot have a fraction of a package, they can make 39 packages from one large block of soap under this new arrangement. ### Answer: 39
Expected answer: 356/9
Correct? No
Problem: A printer prints 2 sheets of paper with 37 letters each second. If it continues to print at this rate for 95 seconds, how many letters will be printed?
Gemma 2B:
Reasoning: The printer prints 2 sheets of paper with 37 letters each second. So, in one second, it prints 2 * 37 = <<2*37=74>>74 letters. If it continues to print at this rate for 95 seconds, it will print 74 * 95 = <<74*95=7030>>7030 letters. ### Answer: 7030
Expected answer: 7030
Correct? Yes
Problem: Continuing from the previous scenario, what if the printer only printed 2 sheets of paper with 4 letters each second instead of 37. Keeping the same printing duration of 95 seconds, how many letters would have been printed then?
Gemma 2B:
Reasoning: The printer prints 2 sheets of paper with 4 letters each second. So, in one second, it prints 2 * 4 = <<2*4=8>>8 letters. If it continues to print at this rate for 95 seconds, it will print 8 * 95 = <<8*95=760>>760 letters. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: A potato farm produces 12 tons of potatoes per acre. They have a 3 acre plot of land which they use for growing potatoes. After the harvest, they found out that 71 tons were rotten, but they could salvage 44 tons. How many tons of potatoes do they have left?
Gemma 2B:
Reasoning: The farm produces 12 tons of potatoes per acre, so in a 3-acre plot, they would produce 12*3 = <<12*3=36>>36 tons of potatoes. After the harvest, they found out that 71 tons were rotten, so they have 36-71 = <<36-71=-35>>-35 tons of potatoes left. However, they could salvage 44 tons, so they have -35+44 = <<-35+44=9>>9 tons of potatoes left. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: If the potato farm had initially produced 56 tons of potatoes per acre instead of 12, how many tons of potatoes would they have left after considering the rotten and salvageable ones?
Gemma 2B:
Reasoning: If the farm initially produced 56 tons of potatoes per acre, then in a 3-acre plot, they would produce 56*3 = <<56*3=168>>168 tons of potatoes. After the harvest, they found out that 71 tons were rotten, so they have 168-71 = <<168-71=97>>97 tons of potatoes left. However, they could salvage 44 tons, so they have 97+44 = <<97+44=141>>141 tons of potatoes left. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: A plane travels around the world, covering a distance of 360,000 miles. If it covers 72,000 miles per day, how many days does it take for the plane to travel around the world?
Gemma 2B:
Reasoning: The plane covers 360,000/72,000 = <<360000/72000=5>>5 days to travel around the world. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After reviewing the plane's logbook, the crew realizes there was a mistake in their calculations. Instead of covering 360,000 miles to travel around the world, it actually only took them 81,000 miles. Given this, how many days would it have taken them to travel around the world at a rate of 72,000 miles per day?
Gemma 2B:
Reasoning: The plane would have taken 81,000/72,000 = <<81000/72000=1.125>>1.125 days to travel around the world. ### Answer: 1.125
Expected answer: 9/8
Correct? Yes
Problem: A fairy sprinkles magical dust at a rate of 4332 milligrams every 76 minutes. If she reduces her sprinkling rate by 44 milligrams and continues at this reduced rate for 52 minutes, how much magical dust will she sprinkle in that time?
Gemma 2B:
Reasoning: The fairy sprinkles 4332 milligrams of magical dust every 76 minutes. If she reduces her sprinkling rate by 44 milligrams, she will sprinkle 4332 - 44 = <<4332-44=3888>>3888 milligrams every 76 minutes. If she continues at this reduced rate for 52 minutes, she will sprinkle 3888/76 * 52 = <<3888/76*52=2568>>2568 milligrams of magical dust in that time. ### Answer: 2568
Expected answer: 676
Correct? No
Problem: At the start of the camping trip, there were 56 logs to fuel the campfire. But after some time, the campers had used up 15 logs. How many logs are left for the rest of the trip?
Gemma 2B:
Reasoning: The campers used 56-15 = <<56-15=41>>41 logs for the rest of the trip. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After re-counting the initial logs at the start of the camping trip, there were actually 48 logs, not 56. After using up 15 logs, with this new count, how many logs are now left for the rest of the trip?
Gemma 2B:
Reasoning: The campers used 48-15 = <<48-15=33>>33 logs for the rest of the trip. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: John took 30 pictures with his new camera, but then he accidentally deleted 81 pictures. Fortunately, he was able to recover 61 of the deleted pictures. How many pictures does he have now?
Gemma 2B:
Reasoning: John took 30 pictures and recovered 61 pictures, so he has 30+61 = <<30+61=91>>91 pictures. John deleted 81 pictures, so he has 91-81 = <<91-81=10>>10 pictures now. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the previous scenario, let's consider that instead of taking 30 pictures, John only took 21 pictures with his new camera before accidentally deleting 81 pictures. Like before, he was able to recover 61 of those deleted pictures. How many pictures does he have now?
Gemma 2B:
Reasoning: John took 21 pictures and recovered 61 pictures, so he has 21+61 = <<21+61=82>>82 pictures. John deleted 81 pictures, so he has 82-81 = <<82-81=1>>1 picture now. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A tailor uses 20 square feet of fabric to make one teddy bear. If they use the same amount of fabric for every teddy bear, how much fabric will they need to make 20 teddy bears?
Gemma 2B:
Reasoning: The tailor needs 20*20 = <<20*20=400>>400 square feet of fabric to make 20 teddy bears. ### Answer: 400
Expected answer: 400
Correct? Yes
Problem: If each pair of binoculars costs $27 and a store adds a tax of $9 after buying 23 pairs, how much will the total cost be?
Gemma 2B:
Reasoning: The cost of 23 pairs of binoculars is 23 * $27 = $<<23*27=621>>621. The total cost including tax is $621 + $9 = $<<621+9=630>>630. ### Answer: 630
Expected answer: 630
Correct? Yes
Problem: After paying the tax and buying the 23 pairs of binoculars, the store owner decides to purchase an additional single pair of binoculars that has a discount of $95. What is the total amount the store owner will need to pay now?
Gemma 2B:
Reasoning: The cost of the additional pair of binoculars is $27 - $95 = $<<27-95=-68>>-68. The total cost including the additional pair of binoculars is $630 + $68 = $<<630+68=698>>698. ### Answer: 698
Expected answer: 562
Correct? No
Problem: After the store owner's last transaction, a new shipment of binoculars came in with a lower price. This time, each pair costs $27 and there's a fixed tax of $9. If the store owner decides to buy 13 pairs from the new shipment, how much would the total cost be now?
Gemma 2B:
Reasoning: The cost of 13 pairs of binoculars is 13 * $27 = $<<13*27=351>>351. The total cost including tax is $351 + $9 = $<<351+9=360>>360. ### Answer: 360
Expected answer: 360
Correct? Yes
Problem: A pirate found 22 gold coins on an island. On his ship, he remembered that he had found 91 gold coins on another island, and 33 gold coins hidden in a chest. How many gold coins does the pirate have in total?
Gemma 2B:
Reasoning: The pirate found 22+91+33 = <<22+91+33=146>>146 gold coins in total. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: Following on from the previous problem: The pirate made a mistake while counting his treasure. He originally thought that he had found 91 gold coins on another island, but it turned out there were only 9 gold coins. With the 22 coins he found on an island, 9 on another island, and 33 hidden in a chest, how many coins does the pirate have now?
Gemma 2B:
Reasoning: The pirate found 22+9+33 = <<22+9+33=64>>64 gold coins in total. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: A magical unicorn has (54 - 24) + 25 numbers of rainbow apples. If each rainbow apple can be traded for 51 sparkly diamonds, how many sparkly diamonds can the unicorn get in return?
Gemma 2B:
Reasoning: The number of rainbow apples the unicorn has is (54 - 24) + 25 = 55. The number of sparkly diamonds the unicorn can get in return is 55 * 51 = 2805. ### Answer: 2805
Expected answer: 2805
Correct? Yes
Problem: After trading all of her rainbow apples, the magical unicorn decided to use some of her sparkly diamonds. She gave away 40 diamonds to her unicorn friend and another 12 diamonds to a fairy. How many sparkly diamonds does the unicorn have left?
Gemma 2B:
Reasoning: The unicorn started with 2805 sparkly diamonds. She gave away 40 + 12 = <<40+12=52>>52 sparkly diamonds. The number of sparkly diamonds the unicorn has left is 2805 - 52 = <<2805-52=2753>>2753. ### Answer: 2753
Expected answer: 2753
Correct? Yes
Problem: Suppose instead of having (54 - 24) + 25 rainbow apples, the magical unicorn actually had (54 - 24) + 38 rainbow apples. If she can still trade each rainbow apple for 51 sparkly diamonds, how many sparkly diamonds would she have received?
Gemma 2B:
Reasoning: The number of rainbow apples the unicorn has is (54 - 24) + 38 = 68. The number of sparkly diamonds the unicorn can get in return is 68 * 51 = 3528. ### Answer: 3528
Expected answer: 3468
Correct? No
Problem: A phone manufacturer is capable of producing 990 phones every 22 hours. After 33 hours, they add an additional 13 phones to the production batch. How many phones are produced in total at this time?
Gemma 2B:
Reasoning: The manufacturer produces 990 phones every 22 hours. In 33 hours, they produce 990 * (33/22) = 1539 phones. They add an additional 13 phones to the production batch, so the total number of phones produced is 1539 + 13 = 1552. ### Answer: 1552
Expected answer: 1498
Correct? No
Problem: A tall building has 704 windows in total. If each floor has the same number of windows and the building is 8 floors high, how many windows are there on each floor?
Gemma 2B:
Reasoning: If the building has 704 windows in total and is 8 floors high, then the number of windows on each floor is 704/8 = <<704/8=88>>88. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: After figuring out the total number of windows the maintenance team cleaned in a day, let's consider a different scenario. What if the building had originally been built with 704 windows spread over 71 floors instead of 8? How many windows would there be on each floor then?
Gemma 2B:
Reasoning: If the building has 704 windows in total and is 71 floors high, then the number of windows on each floor is 704/71 = <<704/71=9.927272727272728>>9.927272727272728. However, since the number of windows on each floor must be a whole number, we can round this number to the nearest whole number. In this case, we would round up to 10 windows per floor. ### Answer: 10
Expected answer: 704/71
Correct? No
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, how many cats are there in total?
Gemma 2B:
Reasoning: There are 77 cats per household, and there are 69 households in the town. So, there are 77*69 = <<77*69=5283>>5283 cats in total. ### Answer: 5283
Expected answer: 5313
Correct? No
Problem: A chocolate bar factory has 28 machines running every day. If 2 machines break down and stop producing, how many machines are still producing chocolate bars?
Gemma 2B:
Reasoning: If 2 machines break down, then the number of machines still producing chocolate bars is 28-2 = <<28-2=26>>26. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Originally, the chocolate bar factory had 87 machines running every day instead of 28. If 2 of the machines break down, as it happened in the previous scenario, how many machines would still be producing chocolate bars?
Gemma 2B:
Reasoning: If 2 machines break down, then the number of machines still producing chocolate bars is 87-2 = <<87-2=85>>85. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A candlemaker has 37 lavender-scented candles and makes 10 more. He then makes another 24 candles, combines them with the ones he already has, and finally adds 6 vanilla-scented candles to his collection. How many candles does he have in total?
Gemma 2B:
Reasoning: The candlemaker has 37+10 = <<37+10=47>>47 lavender-scented candles. He then has 47+24 = <<47+24=71>>71 lavender-scented candles. Finally, he has 71+6 = <<71+6=77>>77 candles in total. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After creating and combining his different candle types, the candlemaker's friend gifted him an additional 7 candles they made. Now, how many candles does the candlemaker have in total?
Gemma 2B:
Reasoning: The candlemaker's friend gifted him 7 more candles, so he now has 77+7 = <<77+7=84>>84 candles in total. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: The candlemaker originally thought he had made 6 vanilla-scented candles, but he actually made 8 instead. Given this correction, with everything else the same, how many candles does the candlemaker have in total now?
Gemma 2B:
Reasoning: The candlemaker originally thought he had 6 vanilla-scented candles, but he actually made 8 instead. So, he has 71+8 = <<71+8=79>>79 candles in total. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: What is the result of adding the numbers 12, 4, and 71 together?
Gemma 2B:
Reasoning: To find the result of adding the numbers 12, 4, and 71 together, we simply add them together. 12 + 4 + 71 = 87 ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After finding the sum of 12, 4, and 71, add 15 to the result. What is the new total?
Gemma 2B:
Reasoning: To find the new total, we add 15 to the result of the previous calculation. 87 + 15 = 102 ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Imagine that initially instead of 12, you started with 53. Now, what would be the result of adding the numbers 53, 4, and 71 together?
Gemma 2B:
Reasoning: To find the result of adding the numbers 53, 4, and 71 together, we simply add them together. 53 + 4 + 71 = 128 ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: John's cucumber plant produces 59 cucumbers. Mary's cucumber plant, on the other hand, produces as many cucumbers as John's but minus the difference between John's cucumbers and 9. How many cucumbers did Mary's plant produce?
Gemma 2B:
Reasoning: Mary's cucumber plant produces 59 - (59 - 9) = 59 - 50 = <<59-(59-9)=49>>49 cucumbers. ### Answer: 49
Expected answer: 9
Correct? No
Problem: A puzzle game requires 3795 points to complete a level, but a player can only gain points in increments of 69. How many increments are needed to gain the points required to complete the level?
Gemma 2B:
Reasoning: To find out how many increments of 69 points are needed to reach 3795 points, we can divide 3795 by 69. 3795 � 69 = 54.941 Since the number of increments must be a whole number, we round up to the nearest whole number. Therefore, the player needs 55 increments to gain the points required to complete the level. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the same puzzle game, consider that to complete a level, a player now requires 3795 points but the points are gained in increments of 19 instead of 69. How many increments of 19 points are now needed to gather the required points to complete the level?
Gemma 2B:
Reasoning: To find out how many increments of 19 points are needed to reach 3795 points, we can divide 3795 by 19. 3795 � 19 = 200 Therefore, the player needs 200 increments of 19 points to gather the required points to complete the level. ### Answer: 200
Expected answer: 3795/19
Correct? No
Problem: A pirate found a treasure chest with 35 gemstones each worth 57 gold coins. The chest also had an additional 42 gold coins. How many gold coins is the total worth of the treasure chest?
Gemma 2B:
Reasoning: The total worth of the gemstones is 35*57 = <<35*57=1995>>1995 gold coins. The total worth of the treasure chest is 1995+42 = <<1995+42=2037>>2037 gold coins. ### Answer: 2037
Expected answer: 2037
Correct? Yes
Problem: Suppose the pirate initially found a smaller chest with only 6 gemstones, each still worth 57 gold coins, along with an additional 42 gold coins. How many gold coins would be the total worth of this smaller chest?
Gemma 2B:
Reasoning: The total worth of the gemstones is 6*57 = <<6*57=342>>342 gold coins. The total worth of the smaller chest is 342+42 = <<342+42=384>>384 gold coins. ### Answer: 384
Expected answer: 384
Correct? Yes
Problem: A pet store has 35 white mice, 86 brown mice, and 39 black mice. How many mice does the store have in total?
Gemma 2B:
Reasoning: The total number of mice in the store is 35+86+39 = <<35+86+39=160>>160. ### Answer: 160
Expected answer: 160
Correct? Yes
Problem: If the pet store decides to double its quantity of each species of mouse – the white mice, brown mice, and black mice, how many mice will the store have then?
Gemma 2B:
Reasoning: If the pet store doubles the quantity of each species of mouse, it will have 2*35 = <<2*35=70>>70 white mice, 2*86 = <<2*86=172>>172 brown mice, and 2*39 = <<2*39=78>>78 black mice. The total number of mice in the store will be 70+172+78 = <<70+172+78=320>>320. ### Answer: 320
Expected answer: 320
Correct? Yes
Problem: If the pet store actually had 31 black mice instead of 39 black mice along with the 35 white mice and 86 brown mice, how many mice in total would the pet store then have?
Gemma 2B:
Reasoning: The total number of mice in the store is 31+35+86 = <<31+35+86=152>>152. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: A soap making factory produces 97 bars of soap in one batch. If they made 94 batches in one day, how many bars of soap did they produce that day?
Gemma 2B:
Reasoning: The factory produced 97*94 = <<97*94=8908>>8908 bars of soap in one day. ### Answer: 8908
Expected answer: 9118
Correct? No
Problem: A toy factory produces 5 toy cars every minute. After 76 minutes, they add another batch of 49 toy cars. How many toy cars does the factory have now?
Gemma 2B:
Reasoning: The factory produces 5 toy cars every minute, so after 76 minutes, they produce 5*76 = <<5*76=380>>380 toy cars. After adding the batch of 49 toy cars, the factory has 380+49 = <<380+49=429>>429 toy cars. ### Answer: 429
Expected answer: 429
Correct? Yes
Problem: After reviewing the production data, the toy car factory realized there was a mistake in their calculation. They actually produce only 4 toy cars every minute instead of 5. If they continue to produce for 76 minutes and add another batch of 49 toy cars as before, how many toy cars will the factory have now?
Gemma 2B:
Reasoning: The factory produces 4 toy cars every minute, so after 76 minutes, they produce 4*76 = <<4*76=304>>304 toy cars. After adding the batch of 49 toy cars, the factory has 304+49 = <<304+49=353>>353 toy cars. ### Answer: 353
Expected answer: 353
Correct? Yes
Problem: A piece of farmland spans across 9 km. The owner decided to expand his property by 77 km. However, he had to return 71 km due to some legal issues. How many km does the farmer have left after his expansion and subsequent decrease?
Gemma 2B:
Reasoning: The farmer initially had 9 km of farmland. He expanded it by 77 km, so he had 9 + 77 = <<9+77=86>>86 km of farmland. However, he had to return 71 km, so he now has 86 - 71 = <<86-71=15>>15 km of farmland left. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a similar situation, another farmer currently owns 25 km of farmland. They also decided to expand by 77 km, but like the previous farmer, had to give back 71 km due to legal issues. How many kilometers does this second farmer have left after this expansion and subsequent decrease?
Gemma 2B:
Reasoning: The second farmer initially had 25 km of farmland. They expanded it by 77 km, so they had 25 + 77 = <<25+77=102>>102 km of farmland. However, they had to return 71 km, so they now have 102 - 71 = <<102-71=31>>31 km of farmland left. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely?
Gemma 2B:
Reasoning: The number of buckets that can be filled up completely is the total amount of paint divided by the amount of paint per bucket. The number of buckets that can be filled up completely is 8930/95 = <<8930/95=94.0>>94. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely? After the initial sales, the company realized they were missing 73 paint buckets. But soon they found 59 buckets in the warehouse. After adding these found buckets, how many buckets does the company have in total now?
Gemma 2B:
Reasoning: 1. The number of buckets that can be filled up completely is the total amount of paint divided by the amount of paint per bucket. 2. The total number of buckets is the number of filled buckets plus the number of missing buckets plus the number of found buckets. The number of buckets that can be filled up completely is 8930/95 = <<8930/95=94.0>>94. The total number of buckets is 94 + 73 + 59 = <<94+73+59=226>>226. ### Answer: 226
Expected answer: 80
Correct? No
Problem: A bubble machine can make 3654 bubbles with 87 ounces of bubble fluid. How many bubbles can it make with 1 ounce of bubble fluid?
Gemma 2B:
Reasoning: To find out how many bubbles can be made with 1 ounce of bubble fluid, we need to divide the total number of bubbles by the total amount of bubble fluid used. 3654 bubbles / 87 ounces = 42 bubbles per ounce So, the bubble machine can make 42 bubbles with 1 ounce of bubble fluid. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Suppose the bubble machine was actually more efficient and could produce 3654 bubbles with just 47 ounces of bubble fluid. With this rate, how many bubbles can it make with 1 ounce of bubble fluid?
Gemma 2B:
Reasoning: To find out how many bubbles can be made with 1 ounce of bubble fluid, we need to divide the total number of bubbles by the total amount of bubble fluid used. 3654 bubbles / 47 ounces = 77.76923076923077 bubbles per ounce So, the bubble machine can make approximately 78 bubbles with 1 ounce of bubble fluid. ### Answer: 78
Expected answer: 3654/47
Correct? No
Problem: A juice bar uses 13 apples to make a jug of apple juice. If they made 30 jugs in one day, how many apples did they use?
Gemma 2B:
Reasoning: The juice bar used 13 apples per jug, so they used 13*30 = <<13*30=390>>390 apples in total. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: Considering the previous scenario, if instead of using 13 apples daily for the fruit salads, they started using 55 apples, how many apples did they use in total when they made fruit salads for 30 days?
Gemma 2B:
Reasoning: The juice bar used 55 apples per day, so they used 55*30 = <<55*30=1650>>1650 apples in total. ### Answer: 1650
Expected answer: 1650
Correct? Yes
Problem: A certain dinosaur species laid eggs every 60 minutes. If they had been laying eggs for 1620 minutes straight, how many total eggs would they have laid?
Gemma 2B:
Reasoning: The dinosaur species laid eggs every 60 minutes, so in 1620 minutes, they would have laid 1620/60 = <<1620/60=27>>27 eggs. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Following the previous scenario, suppose the paleontologists revised their calculations and found that the dinosaur species was actually laying eggs every 47 minutes, not 60 as originally thought. In that case, how many total eggs would the dinosaur have laid if it had been laying eggs for 1620 minutes straight?
Gemma 2B:
Reasoning: The dinosaur species laid eggs every 47 minutes, so in 1620 minutes, they would have laid 1620/47 = <<1620/47=34.48648648648649>>34.49 eggs. Since the number of eggs must be a whole number, we can round down to the nearest whole number, which is 34. ### Answer: 34
Expected answer: 1620/47
Correct? No
Problem: A library received a shipment of new books. There were 55 romance novels, 43 mystery novels, and 67 science fiction novels. How many new books did the library receive?
Gemma 2B:
Reasoning: The library received 55+43+67 = <<55+43+67=165>>165 new books. ### Answer: 165
Expected answer: 165
Correct? Yes
Problem: In the original shipment to the library, suppose there were 95 science fiction novels instead of 67. With the 55 romance novels and 43 mystery novels remaining the same, how many new books did the library receive now?
Gemma 2B:
Reasoning: The library received 55+43+95 = <<55+43+95=193>>193 new books. ### Answer: 193
Expected answer: 193
Correct? Yes
Problem: On a particular beach, there is a tendency for 74 seashells to appear every day. After 42 days of collection, a beachcomber also discovered an additional 56 seashells that had been hidden in the sand. How many seashells did the beachcomber have in total after 42 days?
Gemma 2B:
Reasoning: The beachcomber collected 74 seashells every day for 42 days, so the total number of seashells collected is 74 * 42 = <<74*42=3068>>3068 seashells. In addition to the seashells collected daily, the beachcomber also found 56 hidden seashells, so the total number of seashells is 3068 + 56 = <<3068+56=3124>>3124 seashells. ### Answer: 3124
Expected answer: 3164
Correct? No