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InternLM-Math Base 7B on 4.OA.A.3

Common Core Standard 4.OA.A.3

This standard covers the following:

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be Interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

πŸ”— Problem

Problem: A songwriter creates a long ballad with many verses. Each verse has 162 words and he divides these into 18 lines per verse. This gives a certain number of words per line. To each line, he adds 34 more words as a refrain. What is the total number of words present in each line now?

InternLM-Math Base 7B:

 Reasoning: The number of words in each line is 162/18 = <<162/18=9>>9.
The new number of words in each line is 9+34 = <<9+34=43>>43.
### Answer: 43

Expected answer: 43

Correct? Yes

πŸ”— Follow-up

Problem: Following from the previous problem, the songwriter then decides to add an extra refrain to the end of each verse. If the refrain has 39 words, determine how many words are in each line after this final addition.

InternLM-Math Base 7B:

  Reasoning: The new number of words in each line is 43+39 = <<43+39=82>>82.
### Answer: 82

Expected answer: 82

Correct? Yes

πŸ”— Follow-up

Problem: In the previous problem, the songwriter added 34 words as the refrain to each line in his song. However, what if he had decided to keep the refrain a bit shorter and added only 28 words to each line instead? How many words would each line of the song contain in that case?

InternLM-Math Base 7B:

  Reasoning: The new number of words in each line is 9+28 = <<9+28=37>>37.
### Answer: 37

Expected answer: 37

Correct? Yes

πŸ”— Problem

Problem: A penguin biologist counted 35 penguins on a small ice floe. In another part of the Antarctic, she counted a different group of penguins and found there were approximately 598 divided evenly among 26 ice floes. After returning to the first place, she found that the penguin population had increased by 49. Wishing to conduct another survey, she decided to take 33 more penguins into account. However, when she counted them again, she realized she had overestimated and had to subtract 10 from her calculations. Her final step was to add in the penguins she’d left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?

InternLM-Math Base 7B:

 Reasoning: The biologist counted 35 penguins on a small ice floe.
The biologist counted 598/26 = <<598/26=23>>23 penguins in each of 26 ice floes.
The biologist counted 23*26 = <<23*26=598>>598 penguins in total.
The penguin population increased by 49, so the biologist counted 35+49 = <<35+49=84>>84 penguins in total.
The biologist took 33 more penguins into account, but then subtracted 10, so she counted 33-10 = <<33-10=23>>23 penguins in total.
The biologist added 20 adults and 14 chicks, so she counted 23+20+14 = <<23+20+14=57>>57 penguins in total.
The biologist counted 84+57 = <<84+57=141>>141 penguins in total.
### Answer: 141

Expected answer: 164

Correct? No

πŸ”— Problem

Problem: In a local park, a jungle gym has a total of 27 steps. If the top 19 steps are blue and rest along with another 19 steps are red, we get a certain number of colored steps. On another jungle gym, there are 34 green steps. What is the total number of colored steps on the two jungle gyms?

InternLM-Math Base 7B:


        

Expected answer: 61

Correct? No

πŸ”— Problem

Problem: If a cloud releases 47 millimeters of rainfall per hour over a one hour period, and the average cloud typically releases 775 millimeters of rainfall over the course of 31 hours, find the amount of rainfall from the following condition. Subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23. Add this result to a constant cloud factor of 42. Add this new result to the hourly rainfall of the initial cloud and subtract 2 from it. What is the resultant millimeters of rainfall?

InternLM-Math Base 7B:

 Reasoning: 31-22 = <<31-22=9>>9
9*775 = <<9*775=6975>>6975
6975+42 = <<6975+42=7017>>7017
7017+47 = <<7017+47=7064>>7064
7064-2 = <<7064-2=7062>>7062
### Answer: 7062

Expected answer: 156

Correct? No

πŸ”— Problem

Problem: Nadia likes to practice playing the piano. The other day she practiced for 45 minutes in the morning. In the same day, she also practiced for another 35 minutes in the afternoon and then another 35 minutes in the evening. How long did Nadia practice the piano in total that day?

InternLM-Math Base 7B:

 |user| A group of 8 friends are going to the movies. The cost of a ticket for each of the 8 friends is $8.00. The group of 8 friends also want to buy a large popcorn for $8.00. How much will the group of 8 friends have to pay in total?

Expected answer: 115

Correct? No

πŸ”— Problem

Problem: A popular clothing store sells dresses for $44 each. During a flash sale, they further reduce prices by a factor of 465 divided by 31. How much does a dress cost during the flash sale?

InternLM-Math Base 7B:

 Reasoning: 44*<<465/31=15>>15 = <<44*15=660>>660
### Answer: 660

Expected answer: 660

Correct? Yes

πŸ”— Follow-up

Problem: In the previous scenario, a popular clothing store is selling dresses on a flash sale. Apart from the dress, the customer also decides to buy some accessories worth $48. Can you calculate the total amount a customer has to pay if they buy a dress and accessories during the flash sale?

InternLM-Math Base 7B:

  Reasoning: 48*<<15/8=6>>6 = <<48*6=288>>288
### Answer: 288

Expected answer: 708

Correct? No

πŸ”— Follow-up

Problem: In the previous scenario, a popular clothing store is selling dresses at a flash sale, and a customer decided to buy a dress and some accessories. Now, let's consider a situation where the price of a dress originally was $46 instead of $44. How much would a dress cost during the flash sale in this case?

InternLM-Math Base 7B:

  Reasoning: 46*<<465/31=15>>15 = <<46*15=690>>690
### Answer: 690

Expected answer: 690

Correct? Yes

πŸ”— Problem

Problem: A rope maker made 46 meters of rope on Monday. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. However, by Wednesday, 9 meters of this rope had been damaged and was unusable. How many meters of usable rope does he have after Wednesday?

InternLM-Math Base 7B:

 Reasoning: The rope maker made <<46+19=65>>65 meters of rope on Tuesday.
The rope maker has 65-9 = <<65-9=56>>56 meters of rope on Wednesday.
### Answer: 56

Expected answer: 56

Correct? Yes

πŸ”— Follow-up

Problem: Following the situation from the previous days, on Thursday, a merchant came to buy multiple lengths of the rope. Each length was as long as the total usable ropes the rope maker had after Wednesday. If the merchant bought a total of 6 lengths, how many meters of rope did he purchase in total?

InternLM-Math Base 7B:

  Reasoning: The total number of meters of rope the merchant bought is 6x6 = <<6x6=36>>36.
### Answer: 36

Expected answer: 336

Correct? No

πŸ”— Follow-up

Problem: Continuing from the previous days, let's assume that instead of 9 meters, 13 meters of the rope made on Tuesday had been damaged and was unusable. In that scenario, how many meters of usable rope would the rope maker have after Wednesday?

InternLM-Math Base 7B:

  Reasoning: The rope maker has 65-13 = <<65-13=52>>52 meters of rope on Wednesday.
### Answer: 52

Expected answer: 52

Correct? Yes

πŸ”— Problem

Problem: Juliana bought 16 pairs of vintage earrings for a gift. Each pair costs $2. She also chose a special jewelry box that costs $25. In addition, she paid $48 for the gift wrapping service. How much did she spend in total for her gift?

InternLM-Math Base 7B:

 Reasoning: Juliana spent $2 β‹… 16 = <<2β‹…16=32>>32 for the earrings, $25 for the jewelry box, and $48 for the gift wrapping service. In total, she spent $32+25+48 = <<32+25+48=105>>105.
### Answer: 105

Expected answer: 105

Correct? Yes

πŸ”— Problem

Problem: If Emma takes 60 beads and divides them equally among 3 of her friends, each friend will get a certain number of beads. She then adds 4 more beads to each friend's pile to start making necklaces. How many beads does each friend have now?

InternLM-Math Base 7B:

 Reasoning: 3 <<3*20=60>>20 beads in each friend's pile.
3 <<3*4=12>>12 more beads in each friend's pile.
3 <<3*20=60>>20+3 <<3*4=12>>12 = <<3*20=60+3*12=72>>72 beads in each friend's pile.
### Answer: 72

Expected answer: 24

Correct? No

πŸ”— Problem

Problem: A young boy with a creative mind decided to build a kite. He started with 37 paper straws but decided that 4 were unnecessary and removed them. Later, he realized his kite was still too bulky and removed another 23 straws. He multiplied the remaining number of straws by 45, subtracted 49 from that total, and then took out 7 more straws. How many straws did the boy have left?

InternLM-Math Base 7B:

 Reasoning: The boy had 37-4-23 = <<37-4-23=10>>10 straws left after removing the 4 and 23 straws. The boy had 10*45-49-7 = <<10*45-49-7= 385-49-7= 337-7= 330>>330 straws left. ### Answer: 330

Expected answer: 394

Correct? No

πŸ”— Problem

Problem: At the zoo, there were 2 trips being hosted. Each trip was allowed to see 2 animals. However, each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3. If each baby animal could be photographed 21 times, how many photos could be taken in total? Also, if 34 photos were spoiled and unusable out of the entire batch, but guests were given the opportunity to take an additional 30 photos later, how many usable photos would there be in total?

InternLM-Math Base 7B:

 Reasoning: Each trip was allowed to see 2 animals, and each animal had 3 baby animals, so 3*2 = <<3*2=6>>6 baby animals. 6*21 = <<6*21=126>>126 photos could be taken in total.
34 photos were spoiled, and 30 more were taken. 126-34-30 = <<126-34-30=62>>62 usable photos in total.
### Answer: 62

Expected answer: 248

Correct? No

πŸ”— Problem

Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?

InternLM-Math Base 7B:

 Reasoning: The number of letters in the word after the first round = <<47-30=17>>17
The number of letters in the word after the second round = <<17+10=27>>27
The number of letters in the word after the last round = <<27-3=24>>24
### Answer: 24

Expected answer: 24

Correct? Yes

πŸ”— Follow-up

Problem: In the continuation of the literacy event, the learners had the opportunity to add more letters to the word after the last deletion. They decided to add 39 more letters. How many letters were in the word after this final addition?

InternLM-Math Base 7B:

 Reasoning: The number of letters in the word after the last addition = <<24+39=63>>63
### Answer: 63

Expected answer: 63

Correct? Yes

πŸ”— Follow-up

Problem: In revisiting the literacy event, let's consider a different scenario. When the learners formed the word with 47 letters and due to a mistake had to remove 30, instead of adding 10 letters, what if they added only 10 - 16 = -6 letters? What would the total number of letters be in the word after this change?

InternLM-Math Base 7B:

  Reasoning: The number of letters in the word after the first round = <<47-30=17>>17
The number of letters in the word after the second round = <<17-6=11>>11
The number of letters in the word after the last round = <<11-3=8>>8
### Answer: 8

Expected answer: 11

Correct? No

πŸ”— Problem

Problem: A turtle named Tommy moves at 74/37 miles per hour. If Tommy maintains his current speed for a while then slows down by 3 mph, then speeds up to his initial speed again, what would be his average speed?

InternLM-Math Base 7B:

 Reasoning: 74/37-3+74/37 = <<74/37-3+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37= 74/37-3/37+74/37=

Expected answer: 1

Correct? No

πŸ”— Problem

Problem: Liam has 40 sets of building blocks. Each set contains 16 blocks. How many building blocks does Liam have in total?

InternLM-Math Base 7B:

 Reasoning: 40*16 = <<40*16=640>>640
### Answer: 640

Expected answer: 640

Correct? Yes

πŸ”— Follow-up

Problem: After counting all the building blocks, Liam decides to give away 25 to his friend. How many building blocks does Liam have left after giving some to his friend?

InternLM-Math Base 7B:

  Reasoning: 640-25 = <<640-25=615>>615
### Answer: 615

Expected answer: 615

Correct? Yes

πŸ”— Follow-up

Problem: What if Liam only had 38 sets of building blocks instead of 40? How many building blocks would he have in that case?

InternLM-Math Base 7B:

  Reasoning: 38*16 = <<38*16=608>>608
### Answer: 608

Expected answer: 608

Correct? Yes

πŸ”— Problem

Problem: John has 24 pencils. Then he bought more such that the number of pencils he has now is equal to the number of what he had plus 7. How many pencils does John have now?

InternLM-Math Base 7B:

Reasoning: John has 24+7 = <<24+7=31>>31 pencils now.
### Answer: 31

Expected answer: 31

Correct? Yes

πŸ”— Follow-up

Problem: After having a total of 31 pencils, John received a gift box with an additional 26 pencils. How many pencils does he have now?

InternLM-Math Base 7B:

 Reasoning: John has 31+26 = <<31+26=57>>57 pencils now.
### Answer: 57

Expected answer: 57

Correct? Yes

πŸ”— Follow-up

Problem: Suppose originally, John only had 2 pencils instead of 24 and then he bought more such that the number of pencils he has now is equal to the number of pencils he had plus 7. How many pencils does John have now?

InternLM-Math Base 7B:

 Reasoning: John has 2+7 = <<2+7=9>>9 pencils now.
### Answer: 9

Expected answer: 9

Correct? Yes

πŸ”— Problem

Problem: The snowfall in City A, which lasts for 50 days, is currently 36 days in. In City B, there is a unique snow pattern where for every 14 days, it snows 98 inches. The total snowfall in inches in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in inches in City B. However, the snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. How much snow in inches is left in City A after the snow removal?

InternLM-Math Base 7B:

 Reasoning: The total snowfall in City A is 14*9.5 = <<14*9.5=136>>136 inches. The total amount of snow removed in City A is 9.5*50 = <<9.5*50=475>>475 inches. The final total snowfall in City A is 136-475 = <<136-475=-339>>-339 inches.
### Answer: -339

Expected answer: 91

Correct? No

πŸ”— Problem

Problem: A pirate finds 28 rubies on the first day of his treasure hunt. On the second day, he finds another haul of rubies equal to the first day's find plus an additional 21 rubies. How many rubies does the pirate have in total after the second day?

InternLM-Math Base 7B:

 Reasoning: The pirate found 28+21 = <<28+21=49>>49 rubies in total on the second day.
The pirate has 28+49 = <<28+49=77>>77 rubies in total after the second day.
### Answer: 77

Expected answer: 77

Correct? Yes

πŸ”— Follow-up

Problem: After the second day, the pirate continues his adventure and stumbles upon a third treasure chest containing 29 additional rubies. Unfortunately, he drops and loses 36 rubies while escaping a group of rival pirates. How many rubies does he have in total now?

InternLM-Math Base 7B:

 Reasoning: The pirate has 29+77 = <<29+77=106>>106 rubies in total after the second day.
The pirate has 106-36 = <<106-36=70>>70 rubies in total after the third day.
### Answer: 70

Expected answer: 70

Correct? Yes

πŸ”— Follow-up

Problem: After reflecting on his loss, the pirate remembers that, on the first day, he actually only found 6 rubies, not 28. On the second day, he still found a number of rubies equal to what he found on the first day plus an additional 21 rubies. How many rubies did the pirate have in total after the second day, taking this into account?

InternLM-Math Base 7B:

  Reasoning: The pirate found 6+21 = <<6+21=27>>27 rubies in total on the second day.
The pirate has 6+27 = <<6+27=33>>33 rubies in total after the second day.
### Answer: 33

Expected answer: 33

Correct? Yes

πŸ”— Problem

Problem: There were 47 inches of snowfall in January and an additional 7 inches in early February. On February 15th, there was an additional 17 inches of snowfall. Then, 48 inches of snow fell in March. In April, we had an additional 31 inches of snowfall early on, but then 27 inches melted by the end of the month. How many inches of snow does this sum up to at the end of April?

InternLM-Math Base 7B:

 Reasoning: 47+7+17+48+31-27=<<47+7+17+48+31-27= 141>>141
### Answer: 141

Expected answer: 123

Correct? No

πŸ”— Problem

Problem: At a fair, a vendor sold balloons. On a particularly busy day, he sold 46 balloons every hour for 11 hours straight. After the fair had closed, he ended up selling an additional 31 balloons to some stragglers. How many balloons did he sell in total that day?

InternLM-Math Base 7B:


        

Expected answer: 537

Correct? No

πŸ”— Problem

Problem: Mary and John decided to play a game of cards. In the first game, Mary scored 31 points and John scored 39 points. In the second game, their combined score was increased by 35 more points. During a special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. What was their final score in the special round?

InternLM-Math Base 7B:

|

Expected answer: 420

Correct? No

πŸ”— Problem

Problem: A furniture company manufactured 17 upholstered seats and 18 wooden seats in the morning, and then produced another 29 in the afternoon. They repeated this production in the evening. Later on, they gave away 48 chairs to charity and used 7 chairs for quality testing. How many chairs are left after these operations?

InternLM-Math Base 7B:

 Reasoning: The furniture company made 17+18+29 = <<17+18+29=64>>64 chairs in the morning, afternoon, and evening.
The furniture company gave away 48 chairs to charity, and used 7 chairs for quality testing. 64-48-7 = <<64-48-7=9>>9 chairs are left.
### Answer: 9

Expected answer: 73

Correct? No

πŸ”— Problem

Problem: On a popular jungle gym, there are 46 monkey bars and 18 swinging ropes for the kids to play on. Nearby, a larger jungle gym was recently built to accommodate more kids. The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. How many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym?

InternLM-Math Base 7B:

 Reasoning: 2*31 = <<2*31=62>>62
62+20 = <<62+20=82>>82
46+18 = <<46+18=64>>64
82-64 = <<82-64=18>>18
### Answer: 18

Expected answer: 618

Correct? No

πŸ”— Problem

Problem: John has saved $168 and he decides to divide it evenly between 21 days. After doing so, he then gets an additional $47 from his job. He then receives another amount of money which is the sum of $12 and $45. How much money does John have now?

InternLM-Math Base 7B:

 Reasoning: John has 168/21 = <<168/21=8>>8 dollars per day. John has 8 β‹… 21 = <<8β‹…21=168>>168 dollars in 21 days.
John has 168+47 = <<168+47=215>>215 dollars after he gets the $47 from his job.
John has 215+12+45 = <<215+12+45=272>>272 dollars after he gets the $12 and $45.
### Answer: 272

Expected answer: 112

Correct? No

πŸ”— Problem

Problem: A robot can stack 32 boxes in 1 minute. If it works non-stop for 4 minutes and then picks up 1 extra box, how many boxes will this robot have stacked in total?

InternLM-Math Base 7B:

 Reasoning: The robot can stack 4*32= <<4*32=128>>128 boxes in 4 minutes.
The robot can stack 128+1= <<128+1=129>>129 boxes in 4 minutes and 1 second.
### Answer: 129

Expected answer: 129

Correct? Yes

πŸ”— Follow-up

Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?

InternLM-Math Base 7B:

 Reasoning: The robot can stack 4*32= <<4*32=128>>128 boxes in 4 minutes.
The robot can stack 128-21= <<128-21=107>>107 boxes in 4 minutes and 1 second.
### Answer: 107

Expected answer: 108

Correct? No

πŸ”— Follow-up

Problem: Let's consider a different scenario: If, instead of picking up an extra single box after 4 minutes, the robot picked up an extra 11 boxes, how many boxes would this robot have stacked in total?

InternLM-Math Base 7B:

  Reasoning: The robot can stack 4*32= <<4*32=128>>128 boxes in 4 minutes.
The robot can stack 128+11= <<128+11=139>>139 boxes in 4 minutes and 1 second.
### Answer: 139

Expected answer: 139

Correct? Yes

πŸ”— Problem

Problem: A female tiger gave birth to 26 cubs in all her lifetime. Unfortunately, 17 of them did not survive the harsh conditions of the wild. However, after growing up, 6 of the surviving tigers moved to other territories. How many tigers remained in the female tiger's territory?

InternLM-Math Base 7B:

 Reasoning: 6 tigers moved to other territories, so 26-6 = <<26-6=20>>20 tigers remained in the female tigers territory.
### Answer: 20

Expected answer: 3

Correct? No

πŸ”— Problem

Problem: A colony of penguins originally started with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. To supplant the loss, another group of 35 penguins join the colony. How many penguins are in the colony now?

InternLM-Math Base 7B:

 Reasoning: 16/2=<<16/2=8>>8 penguins left the colony to start a new one. 35-8=<<35-8=27>>27 penguins join the colony. 44+27=<<44+27=71>>71 penguins are in the colony now.
### Answer: 71

Expected answer: 102

Correct? No

πŸ”— Problem

Problem: A helicopter travels 10 miles in one minute. If the helicopter increases its speed by 40 miles, plus another 20 miles, how far will the helicopter travel in 12 minutes at this increased speed?

InternLM-Math Base 7B:

 Reasoning: The helicopter will travel 10x12 = <<10x12=120>>120 miles in 12 minutes at the increased speed.
### Answer: 120

Expected answer: 840

Correct? No

πŸ”— Problem

Problem: A new telescope has a magnification power of 26. To further explore the universe, another telescope is required that needs to be exactly 41 in magnification strength. How much more magnification is required for the new telescope compared to the existing one?

InternLM-Math Base 7B:

 Reasoning: 26/41 = <<26/41=0.63>>0.63. The new telescope will have 0.63 more magnification than the current one.
### Answer: 0.63

Expected answer: 15

Correct? No

πŸ”— Problem

Problem: Sophie's parents give her $18 for every hour she works at the family business. On Monday, she worked 2 of those hours. Then she bought a $4 ice cream and another $4 coffee afterwards. She then added Monday's leftover amount to her pay for her next single hour of work. After that, she got an additional $45 as a bonus from her grandmother. How much money does Sophie have in total now?

InternLM-Math Base 7B:

 Reasoning: Sophie got $18*2 = <<18*2=36>>36 for the first 2 hours. She then got $4*2 = <<4*2=8>>8 for the ice cream and coffee. She then got $18 for the last hour. So, the total amount of money she has is 36+8+18 = <<36+8+18=62>>62.
### Answer: 62

Expected answer: 91

Correct? No

πŸ”— Problem

Problem: A towel company initially produced 30 beach towels and 6 hand towels. They then gave away 7 towels for charity, which leaves a certain amount of towels. They then decided to produce 14 more towels to add to their current stock. On the other hand, they made a special batch of 13 towels for every towel left after their charity activity and deducted 19 towels from this special batch, calling it their premium collection. They then noted 20 towels were damaged and removed it from this premium collection. After this, they deducted 3 more towels from the remaining premium collection and combined it with the total they had after their second batch of production. How many towels does the company have now?

InternLM-Math Base 7B:

 Reasoning: The company has <<30+6=36>>36 towels in the beginning. 
7 towels were given away, so the number of towels left is 36-7= <<36-7=29>>29. 
The company then decided to produce 14 more towels, so the new number of towels is 29+14= <<29+14=43>>43. 
The company made a special batch of 13 towels for every towel left after their charity activity, so the new number of towels is 43-19= <<43-19=24>>24. 
20 towels were damaged and removed from the premium collection, so the new number of towels is 24-20= <<24-20=4>>4. 
The company then deducted 3 more towels from the remaining premium collection, so the new number of towels is 4-3= <<4-3=1>>1. 
The company then combined the total they had after their second batch of production, so the new number of towels is 1+43= <<1+43=44>>44. 
The company has 44 towels now. 
### Answer: 44

Expected answer: 378

Correct? No

πŸ”— Problem

Problem: An extraterrestrial being from the planet Zorkon communicates that they have 50 special energy crystals. Then they explain that they'll get 20 more energy crystals in a few earth days. Additionally, their zorbcraft has a hidden compartment that contains 50 energy crystals and 6 extra lumino-gems, and they plan to add the upcoming energy crystals to this compartment as well. How many items (including both energy crystals and lumino-gems) would be in the zorbcraft's compartment at that time?

InternLM-Math Base 7B:

 Reasoning: The extraterrestrial being from the planet Zorkon will have 50+20 = <<50+20=70>>70 energy crystals. The zorbcraft's compartment will contain 50+70+6 = <<50+70+6=126>>126 items.

Expected answer: 126

Correct? Yes

πŸ”— Problem

Problem: A park contains 43 Velociraptors. Then, the park added another set of dinosaurs which numbered 972, but as it so happens, each of these sections contained 27 dinosaurs. This meant the actual number of new dinosaur types added was less. After calculating the new dinosaur types, they found out that the number of Velociraptors was more. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. How many total eggs were laid by the Velociraptors that week?

InternLM-Math Base 7B:

 Reasoning: The number of new dinosaur types added was 972-27 = <<972-27=945>>945. The number of Velociraptors was 43. The difference is 945-43 = <<945-43=902>>902. 902*7 = <<902*7=6,414>>6,414. ### Answer: 6,414

Expected answer: 49

Correct? No

πŸ”— Problem

Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?

InternLM-Math Base 7B:

 Reasoning: 46-16 = <<46-16=30>>30
### Answer: 30

Expected answer: 30

Correct? Yes

πŸ”— Follow-up

Problem: Initially, Maria believed the bowl contained 46 oranges, but soon she realized her mistake and found out there were actually 49 in total. With this new information, after taking out 16 oranges, how many are left now in the bowl?

InternLM-Math Base 7B:

  Reasoning: 49-16 = <<49-16=33>>33
### Answer: 33

Expected answer: 33

Correct? Yes

πŸ”— Problem

Problem: A toothbrush factory produces 37 toothbrushes per minute at the start of its morning shift. A little later, it increases its production to rate to 308 toothbrushes every 7 minutes. If this increased rate of production continued for 16 minutes, how many toothbrushes were produced in total?

InternLM-Math Base 7B:

 Reasoning: 37 toothbrushes are produced in 1 minute. 7 minutes = <<1*7=7>>7 minutes. 7 minutes = <<1*7=7>>7*37 = <<7*37=259>>259 toothbrushes. 7*7 = <<7*7=49>>49 minutes. 7*7*8 = <<7*7*8=336>>336 minutes. 16*7*8 = <<16*7*8=1152>>1152 minutes. 1152*37 = <<1152*37=42464>>42464 toothbrushes. ### Answer: 42464

Expected answer: 741

Correct? No

πŸ”— Problem

Problem: A research laboratory has 39 telescopes initially. They added 7 more telescopes in the first month and then 17 more in the second month. Twelve more telescopes arrived in the third month, followed by further add up of 18 in the fourth month. In fifth month, they got exactly the same number of telescopes as they had initially i.e. 39 telescopes and in the sixth month, they received extra 19 telescopes. How many telescopes does the research laboratory have at the end of the sixth month.

InternLM-Math Base 7B:

 Reasoning: The number of telescopes at the end of the sixth month is 39+7+17+12+18+39+19=<<39+7+17+12+18+39+19= 195>>195.
### Answer: 195

Expected answer: 151

Correct? No

πŸ”— Problem

Problem: A table was initially set with 20 forks and 23 knives. Later in the day, 28 more sets of cutlery were added, each set containing 26 utensils. After counting, they found 7 more utensils than expected. However, there were 46 missing utensils, and they had to remove the original set of 20 forks and 23 knives. How many utensils were left on the table?

InternLM-Math Base 7B:


        

Expected answer: 646

Correct? No

πŸ”— Problem

Problem: A magical unicorn has 50 red roses and 36 blue roses in her mystical garden. But then, a storm comes and 25 blue roses are destroyed. How many roses does the unicorn have left in her garden after the storm?

InternLM-Math Base 7B:

 Reasoning: 25/36 = <<25/36=0.69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

Expected answer: 61

Correct? No

πŸ”— Problem

Problem: A factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. By the end of the day, 28 more bottles were added to this shipment. How many bottles were marked for shipping in total?

InternLM-Math Base 7B:

 Reasoning: 1. The factory produced 100 bottles per hour. 2. Half of the 100 bottles were sent to the first warehouse. 3. 3 times the 50 bottles sent to the first warehouse was 150 bottles. 4. 29 more bottles were added to the 150 bottles. 5. 28 more bottles were added to the 179 bottles. 6. 179+28=<<179+28=207>>207 bottles were marked for shipping in total.
### Answer: 207

Expected answer: 207

Correct? Yes

πŸ”— Follow-up

Problem: From the same factory scenario as before, reconsider the situation such that instead of adding 28 more bottles for shipment by the end of the day, they actually added 50 more bottles. How many bottles were marked for shipping in total now?

InternLM-Math Base 7B:

  Reasoning: 1. The factory produced 100 bottles per hour. 2. Half of the 100 bottles were sent to the first warehouse. 3. 3 times the 50 bottles sent to the first warehouse was 150 bottles. 4. 29 more bottles were added to the 150 bottles. 5. 50 more bottles were added to the 179 bottles. 6. 179+50=<<179+50=229>>229 bottles were marked for shipping in total.
### Answer: 229

Expected answer: 229

Correct? Yes

πŸ”— Problem

Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?

InternLM-Math Base 7B:

 |user| The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?

Expected answer: 143

Correct? No

πŸ”— Problem

Problem: A pirate finds treasure with 135 gold coins. He divides these amongst his crew of 9. On another island, they find 323 emeralds which he divides amongst his crew of 19. He then multiplies these two shares to find out the total share per crew member. However, due to a miscount, he later realizes he has overcounted the share by 14. What is the corrected total share per crew member?

InternLM-Math Base 7B:

 Reasoning: The total share per crew member is 135*323/9*19-14 = <<135*323/9*19-14= 3>>3
### Answer: 3

Expected answer: 241

Correct? No

πŸ”— Problem

Problem: A chocolatier has decided to make small chocolate bars that weigh 176 grams each. To get the right size, he divides each bar into 8 pieces, which means each piece weighs a certain number of grams. He then decides to make a new batch of chocolate using a special recipe. This recipe calls for a total of 38 grams of cocoa, but subtraction the weight of one piece from the 176g bars, plus an additional 26 grams of sugar. Simultaneously, the chocolatier decides to create another batch of chocolates that needs a total of 38 grams of cocoa and 18 grams of milk. What is the difference in the total weight of ingredients between the second and third batch of chocolates?

InternLM-Math Base 7B:

 Reasoning: The chocolatier needs 38 grams of cocoa in the second batch. The weight of the 8 pieces in the first batch is 176x8 = <<176x8=1408>>1408 grams. The weight of one piece is 1408/8 = <<1408/8=176>>176 grams. 176-1 = <<176-1=175>>175 grams of cocoa. The chocolatier also needs 26 grams of sugar. The total weight of ingredients in the second batch is 175+26 = <<175+26=201>>201 grams. The chocolatier needs 38 grams of cocoa and 18 grams of milk in the third batch. The total weight of ingredients in the third batch is 38+18 = <<38+18=56>>56 grams. The difference in the total weight of ingredients between the second and third batch of chocolates is 201-56 = <<201-56=145>>145 grams. 
### Answer: 145

Expected answer: 14

Correct? No

πŸ”— Problem

Problem: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. How many times did she use all her pencils?

InternLM-Math Base 7B:


        

Expected answer: 261

Correct? No

πŸ”— Problem

Problem: A factory has just released a new robot model, where each model has 17 transistors and each transistor may have 16 separate connections. One of the newly manufactured robots by accident was made with one less connection than standard. However, to compensate for the mistake, an extra 41 connections were added elsewhere. What is the total number of connections in the strangely built robot?

InternLM-Math Base 7B:

 Reasoning: The number of connections in a transistor is 16. The number of transistors in a robot is 17. The number of connections in a robot is 16*17 = <<16*17=272>>272.
The number of connections in a robot is 272-1 = <<272-1=271>>271. The number of extra connections in a robot is 41. The total number of connections in a robot is 271+41 = <<271+41=312>>312.
### Answer: 312

Expected answer: 312

Correct? Yes

πŸ”— Follow-up

Problem: In the assembly line, another robot was produced similar to the first. However, this time instead of adding an additional 41 connections to compensate for the one lost, the production team decided to add only 13 additional connections. How many connections does this robot have now?

InternLM-Math Base 7B:

  Reasoning: The number of connections in a transistor is 16. The number of transistors in a robot is 17. The number of connections in a robot is 16*17 = <<16*17=272>>272.
The number of connections in a robot is 272-1 = <<272-1=271>>271. The number of extra connections in a robot is 13. The total number of connections in a robot is 271+13 = <<271+13=284>>284.
### Answer: 284

Expected answer: 284

Correct? Yes

πŸ”— Problem

Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?

InternLM-Math Base 7B:

 Reasoning: 6-12 = <<6-12=0>>0
0+24*31 = <<0+24*31=744>>744
### Answer: 744

Expected answer: 726

Correct? No

πŸ”— Problem

Problem: There's this mystical ring that, after you perform a special chant, it will grant you powers based on a complex magic formula. If the first step of the magical formula is subtracting 5 from 23 and then multiplying by the number of magical chants you perform, which in this case is 6. After that, the result is multiplied by 7 and again by 1. However, for the final step, you subtract 48 from the result. If you follow these steps, how powerful will the ring's magic be?

InternLM-Math Base 7B:

 Reasoning: 23-5 = <<23-5=18>>18
18 β‹… 6 = <<18β‹…6=108>>108
108 β‹… 7 = <<108β‹…7=756>>756
756 β‹… 1 = <<756β‹…1=756>>756
756 - 48 = <<756-48=708>>708
### Answer: 708

Expected answer: 708

Correct? Yes

πŸ”— Follow-up

Problem: Imagine in the initial mystical chant, instead of subtracting 5 from 23, you subtracted 5 from just 8, then continued with the rest of the magic formula exactly the same - multiplying by the number of chants and so forth. How would this adjustment impact the final power of the ring?

InternLM-Math Base 7B:

  Reasoning: 8-5 = <<8-5=3>>3
3 β‹… 6 = <<3β‹…6=18>>18
18 β‹… 7 = <<18β‹…7=126>>126
126 β‹… 1 = <<126β‹…1=126>>126
126 - 48 = <<126-48=78>>78
### Answer: 78

Expected answer: 78

Correct? Yes

πŸ”— Problem

Problem: A child can make 15 cookies in one hour. If the child spends 24 hours making the cookies, how many cookies are made in total?

InternLM-Math Base 7B:

 Reasoning: 15*24 = <<15*24=360>>360
### Answer: 360

Expected answer: 360

Correct? Yes

πŸ”— Follow-up

Problem: If the same child decides to increase their cookie production rate and can now make 40 cookies in one hour, how many cookies are made when they spend the same amount of time (24 hours) baking?

InternLM-Math Base 7B:

  Reasoning: 24*40 = <<24*40=960>>960
### Answer: 960

Expected answer: 960

Correct? Yes

πŸ”— Problem

Problem: A silversmith has 16 silver rings in stock. He decided to create more rings and ended up with 28 silver and 24 gold rings. Then he subtracted from them the number of his original stock of silver rings. He traded some rings and ended up with 21 rings less than what he had after the creation stage. After that, for a special order, he created 26 times the number of rings he had left. In addition, he had made 7 platinum and 47 bronze rings for another order. How many rings does the silversmith have in total now?

InternLM-Math Base 7B:

 Reasoning: The number of rings the silversmith has in total now is 16+28+24-16+26x-7-47 = 16+12+24-16+26x-7-47 = 12+24-16+26x-7-47 = 36-16+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-7-47 = 20+26x-

Expected answer: 444

Correct? No

πŸ”— Problem

Problem: A gardener plants flowers in several rows. Each row contains 40 flowers, but due to the rough soil conditions only half of them grow properly. In total, 19 rows are planted this way. Additionally, the gardener plants another small batch of 18 bulbs in one corner and 48 in another corner of the garden. What is the difference between the total number of flowers in the rows and the small corners?

InternLM-Math Base 7B:

 You are a mathematics teacher that solves all problems correctly and explains your reasoning. Write your final answer in the last line of your response. The last line should always be formatted as follows: "### Answer: <<your final answer here.>>".

Expected answer: 314

Correct? No

πŸ”— Problem

Problem: In the forest, a certain bird lays an average of 11 eggs per month. This month, the bird laid 4 times the average. Due to extreme weather conditions, the forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. How many eggs are there in the forest this month?

InternLM-Math Base 7B:

 Reasoning: The bird laid 4x11 = <<4x11=44>>44 eggs this month. The forest welcoming committee distributed 40 eggs to the nests. There are 44+40 = <<44+40=84>>84 eggs in the forest this month.
### Answer: 84

Expected answer: 84

Correct? Yes

πŸ”— Follow-up

Problem: After examining the ground for fallen eggs, the forest rangers found more eggs which they distributed to the nests. They found 216 eggs in total, and divided them between 18 nests, before adding them to the initial number of eggs in the forest. How many eggs are there in the forest now?

InternLM-Math Base 7B:

 Reasoning: The rangers found 216 eggs. They added 216 to the initial number of eggs, 84, to get 300 eggs. They then distributed 300 eggs between 18 nests, so there are 300/18 = <<300/18=16.666666666666666>>16.6 eggs in each nest. ### Answer: 16.6

Expected answer: 96

Correct? No

πŸ”— Problem

Problem: You are mixing paints to create different shades. In one mixture, you have 41 drops of red paint. You then add 13 drops of white paint and the same amount of red paint as before. You take a sample of this mixture, which is 34 drops, and add that to a new mixture. Then take away the same amount of the 34 drop sample that you took originally. How many drops of paint are there in the new mixture?

InternLM-Math Base 7B:

 Reasoning: The new mixture has 34-3 = <<34-3=31>>31 drops of the 34 drop sample. The 34 drop sample is 1/3 of the 102 drops of the 2nd mixture. The 2nd mixture has 102*3 = <<102*3=306>>306 drops of paint.

Expected answer: 95

Correct? No

πŸ”— Problem

Problem: A small toy car factory made 32 toy cars on Monday, but only 27 on Tuesday. They multiply the difference by 49 to determine their weekly goal. The staff number in the factory is 12, and every staff member makes 9 toy cars a day. They add 45 to the total number of toy cars prepared by staff members. On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff prepared cars. How many toy cars in total were made in this process?

InternLM-Math Base 7B:

 Reasoning: The staff in the factory make 9*12 = <<9*12=108>>108 cars. 45 + 108 = <<45+108=153>>153 cars. 153 + 31 = <<153+31=184>>184 cars. 32+27+184 = <<32+27+184=243>>243 cars. 243*49 = <<243*49=11,907>>11,907 cars.

Expected answer: 429

Correct? No

πŸ”— Problem

Problem: A farmer harvested 45 carrots in one day from his farm. He noticed that for every carrot over 44 per day, he can earn 29 dollars. How much would the farmer have earned if this continued?

InternLM-Math Base 7B:

 Reasoning: 45-44 = 1
1x29 = <<1x29=29>>29
### Answer: 29

Expected answer: 29

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from our previous scenario, let's suppose that the market rate for extra carrots has now changed. Now, for every carrot that the farmer harvests over 44 per day, he can earn 41 dollars instead of 29. How much would his new earnings be if he still harvested 45 carrots in one day?

InternLM-Math Base 7B:

  Reasoning: 45-44 = 1
1x41 = <<1x41=41>>41
### Answer: 41

Expected answer: 41

Correct? Yes

πŸ”— Problem

Problem: In a sock factory, a worker started with 26 pairs of socks. Unfortunately, 50 pairs got torn and had to be discarded. The worker was able to produce 36 more pairs to replace them. Each pair of socks is sold for $37. After earning from the sock sales, the worker found a $13 bill on the floor. How much money does the worker have in total?

InternLM-Math Base 7B:

 Reasoning: The worker has 26+36-50 = <<26+36-50=20>>20 pairs of socks. The worker earns 20*37 = <<20*37=740>>$740 from the sock sales. The worker has 740+13 = <<740+13=753>>$753 in total.
### Answer: 753

Expected answer: 457

Correct? No

πŸ”— Problem

Problem: A jewelry maker starts with 38 beads to make a bracelet. However, the number of beads was not right, so she removed a number of beads equal to dividing 560 by 40. However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. After adjusting the count and removing some beads, she adds one more bead, and then 39 more. How many beads does the jewelry maker have now?

InternLM-Math Base 7B:

 Reasoning: The number of beads the jewelry maker removed is 560/40 = <<560/40=14>>14. The jewelry maker had 38+15 = <<38+15=53>>53 beads. 53-14 = <<53-14=39>>39 beads are left.
39+1+39 = <<39+1+39=79>>79 beads are left.
### Answer: 79

Expected answer: 79

Correct? Yes

πŸ”— Follow-up

Problem: In the continuation of the previous story, the jewelry maker decided to make another adjustment after adding beads to her bracelet. She then removed again the same number of beads she removed earlier, equal to dividing 560 by 40. After that, she finds a small box with an additional 20 beads in it that she decides to add to the bracelet. How many beads does the jewelry maker have now on her bracelet?

InternLM-Math Base 7B:

  Reasoning: The number of beads the jewelry maker removed is 560/40 = <<560/40=14>>14. The jewelry maker had 79-14 = <<79-14=65>>65 beads. 65+20 = <<65+20=85>>85 beads are left on the bracelet.
### Answer: 85

Expected answer: 85

Correct? Yes

πŸ”— Follow-up

Problem: In a different scenario, suppose the jewelry maker initially had 50 beads instead of 38. She still removed a number of beads equal to 560 divided by 40. Afterwards, she realized she might have actually started with 15 more beads than she originally thought. After correcting her count and removing some beads, she added one more bead, and then 39 more beads. How many beads does the jewelry maker have now in this case?

InternLM-Math Base 7B:

 Reasoning: The number of beads the jewelry maker removed is 560/40 = <<560/40=14>>14. The jewelry maker had 50+15 = <<50+15=65>>65 beads. 65-14 = <<65-14=51>>51 beads are left.
51+1+39 = <<51+1+39=91>>91 beads are left.
### Answer: 91

Expected answer: 91

Correct? Yes

πŸ”— Problem

Problem: In an aquarium, there are initially 30 sharks. But then, 23 of them are moved to a different area of the aquarium. A few days later, an additional 14 sharks are brought in, followed by 3 more being moved to the other area. The number of sharks is then multiplied by 43 for a research study. What is the final figure for the research?

InternLM-Math Base 7B:

 Reasoning: 30-23 = <<30-23=7>>7 sharks are left in the aquarium.
7+14+3 = <<7+14+3=24>>24 sharks are in the aquarium at the end.
24*43 = <<24*43=1032>>1032 sharks in the aquarium for the research.
### Answer: 1032

Expected answer: 774

Correct? No

πŸ”— Problem

Problem: In a puzzle game, each round you collect 150 points which are then divided by 10 to determine the number of gold coins you earn. After two rounds, you earned some gold coins. In the third round, you collected 28 emeralds and 14 sapphires but you had to sacrifice the same amount of gold coins as you earned in the first two rounds. How many emeralds and sapphires did you have left after the third round?

InternLM-Math Base 7B:

|user|

Expected answer: 12

Correct? No

πŸ”— Problem

Problem: A train gets to carry 15 containers every day. On Fridays, the train gets to carry an extra 12 containers than usual. The following Monday, the train carries an additional 26 containers. However, on Wednesday, the load decreases by 32 containers. For a particular trip, the train is coupled with 2 more containers, and after it makes one stop, an additional 48 containers are loaded onto the train. How many containers is the train carrying at this point?

InternLM-Math Base 7B:

|user|

Expected answer: 71

Correct? No

πŸ”— Problem

Problem: A lemon farmer had harvested 39 lemons in the morning and 33 in the afternoon. Unfortunately, 12 lemons got spoiled by the end of the day. The next day, the farmer used 23 lemons to make lemonade. How many lemons did he have left after making the lemonade?

InternLM-Math Base 7B:


        

Expected answer: 37

Correct? No

πŸ”— Problem

Problem: A bee lands on 33 flowers in an hour. If the bee is collecting 15 nectar droplets from each flower, how many nectar droplets does it have after an hour if it started with 26 nectar droplets?

InternLM-Math Base 7B:

 Reasoning: The bee collects 15*33 = <<15*33=495>>495 nectar droplets in an hour.
The bee has 26+495 = <<26+495=521>>521 nectar droplets after an hour if it started with 26 nectar droplets.
### Answer: 521

Expected answer: 521

Correct? Yes

πŸ”— Follow-up

Problem: If instead of starting with 26 nectar droplets, the bee had initially found 49 nectar droplets before it started its hour of flower visits, how many nectar droplets would the bee have after an hour of collecting nectar from 33 flowers with 15 nectar droplets each?

InternLM-Math Base 7B:

  Reasoning: The bee collects 15*33 = <<15*33=495>>495 nectar droplets in an hour.
The bee has 49+495 = <<49+495=544>>544 nectar droplets after an hour if it started with 49 nectar droplets.
### Answer: 544

Expected answer: 544

Correct? Yes

πŸ”— Problem

Problem: A company produces 36 marshmallow packs in an hour. To meet a sudden increase in demand, they decide to increase their production. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. Additionally, they add another 6 marshmallow packs to their hourly production. But, due to some limitations, they end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?

InternLM-Math Base 7B:

 Reasoning: The company produces 36/7 = <<36/7=5.14285714285714>>5.14285714285714 marshmallow packs per hour.
The company now produces 5.14285714285714+6-43 = <<5.14285714285714+6-43=0.142857142857143>>0.142857142857143 marshmallow packs per hour.
### Answer: 0.142857142857143

Expected answer: 49

Correct? No

πŸ”— Problem

Problem: A wizard casts a spell that produces 882 glimmering lights over a span of 21 days. That's an average of how many lights a day? In comparison, another wizard casts a spell that produces 460 glowing orbs in 20 days. What is the daily average here? Now, let's assume that the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. Can you find out what 'n' is?

InternLM-Math Base 7B:

 Reasoning: 882/21 = <<882/21=42>>42
460/20 = <<460/20=23>>23
42-23 = 19
19*23 = 19*23 = <<19*23=437>>437
### Answer: 437

Expected answer: 437

Correct? Yes

πŸ”— Problem

Problem: A candy factory has 20 different flavors of candy. Their bestselling flavors are the Sugar Rush, which has 14 different base ingredients, the Candy Twirl, which has 25 base ingredients, and the Jawbreaker, which has 16 base ingredients. They create a Special Mix which combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. To create a limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, then combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them so it's not too overwhelming). They then top it all off by removing 3 experimental sweets that didn't taste quite right. What is the count of various components used in creating this limited edition candy?

InternLM-Math Base 7B:


        

Expected answer: 103

Correct? No

πŸ”— Problem

Problem: In a special operation, 32 police officers were assigned to the north district, 33 were sent to the south district, and 29 officers were held for the downtown district. After the operation, 21 officers from the downtown district were transferred elsewhere. A week later, on a different assignment, 39 officers were added to the remaining duty force. Later that day, another 14 officers joined the force. How many officers were on duty by the end of the day?

InternLM-Math Base 7B:

 Reasoning: 32+33+29-21+39+14 = <<32+33+29-21+39+14=149>>149
### Answer: 149

Expected answer: 126

Correct? No

πŸ”— Problem

Problem: The distance between the Moon and the Earth changes throughout the month. On one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. If that distance, in millions of kilometers, times 19 minus 27 equals to a certain value, what is the value?

InternLM-Math Base 7B:

 Reasoning: The distance between the Moon and the Earth decreased by 19-11 = <<19-11=8>>8 million kilometers.
The value is 8*19-27 = <<8*19-27=135>>135.
### Answer: 135

Expected answer: 505

Correct? No

πŸ”— Problem

Problem: A tiger has an average step length of 9 meters. If a tiger took two steps and then leaped 44 meters, it would have covered a certain distance. Another tiger covered a distance combining 23 meters with a leap and a 46-meter run but then retraces the distance equal to the first tiger's steps and the leap. How much distance did the second tiger cover finally?

InternLM-Math Base 7B:

 Reasoning: The first tiger covered 9+9=18<<9+9=18>> meters in the first two steps. The first tiger leaped 44-18=<<44-18=26>>26 meters.
The second tiger covered 23+26=<<23+26=49>>49 meters in the first two steps. The second tiger leaped 44-23=<<44-23=21>>21 meters.
The second tiger retraced 18<<18>> meters. The second tiger covered 49-18=<<49-18=31>>31<<31>> meters in the end.
### Answer: 31

Expected answer: 7

Correct? No

πŸ”— Problem

Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?

InternLM-Math Base 7B:

 Reasoning: The total number of produced toothpaste tubes until Tuesday, inclusive, is 26*7+8+31+48 = <<26*7+8+31+48= 201>>201

Expected answer: 300

Correct? No

πŸ”— Problem

Problem: In a magical forest, a unicorn has 42 rainbow pebbles. A day later, it finds 26 more. It also has a stash of 44 dreamberries. Later on, the unicorn gathers 33 more rainbow pebbles and adds them with its stash of dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to his stash, but oh no, he loses 14! How many items does the unicorn have altogether after these events?

InternLM-Math Base 7B:

 You are a mathematics teacher that solves all problems correctly and explains your reasoning. Write your final answer in the last line of your response. The last line should always be formatted as follows: "### Answer: <<your final answer here.>>".

Expected answer: 171

Correct? No

πŸ”— Problem

Problem: A pirate captain has a treasure chest containing 23 types of jewels. Each type has 28 jewels. Tired from his adventure, he mistakenly lost 40 jewels on his way back to his ship. The next day, he luckily found 16 jewels from a deserted island. How many jewels does he have now in his treasure chest?

InternLM-Math Base 7B:


        

Expected answer: 620

Correct? No

πŸ”— Problem

Problem: In a distant galaxy, a star shines brightly with 38 neutrons. It then gains 4 more. This total number gets multiplied by 18 to create a sensational energy output. During an explosion, it additionally releases the energy equivalent to 6 plus 25. How much total energy does the star emit?

InternLM-Math Base 7B:

|

Expected answer: 787

Correct? No

πŸ”— Problem

Problem: A gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with?

InternLM-Math Base 7B:


        

Expected answer: 348

Correct? No

πŸ”— Problem

Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?

InternLM-Math Base 7B:

 Reasoning: 18*21 = <<18*21=378>>378
### Answer: 378

Expected answer: 378

Correct? Yes

πŸ”— Follow-up

Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?

InternLM-Math Base 7B:

  Reasoning: 18*21+39 = <<18*21+39=441>>441
### Answer: 441

Expected answer: 417

Correct? No

πŸ”— Follow-up

Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?

InternLM-Math Base 7B:

  Reasoning: 21*46 = <<21*46=966>>966
### Answer: 966

Expected answer: 966

Correct? Yes

πŸ”— Problem

Problem: A community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room for a large event. How many chairs are in the meeting room now for the event?

InternLM-Math Base 7B:

 Reasoning: 21+22= <<21+22=43>>43
### Answer: 43

Expected answer: 43

Correct? Yes

πŸ”— Follow-up

Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?

InternLM-Math Base 7B:

  Reasoning: 12+22= <<12+22=34>>34
### Answer: 34

Expected answer: 34

Correct? Yes

πŸ”— Problem

Problem: There are 14 elephants in a conservation park. This year, 11 new baby elephants were born, and the park received 25 more elephants from various rescues. How many elephants are there in the park now?

InternLM-Math Base 7B:

 Reasoning: 11+25+14 = <<11+25+14=50>>50
### Answer: 50

Expected answer: 50

Correct? Yes

πŸ”— Follow-up

Problem: Unfortunately, due to unfortunate circumstances, 27 elephants had to be relocated to different parks over the course of the year. How many elephants are left in the park now?

InternLM-Math Base 7B:

  Reasoning: 50-27= <<50-27=23>>23
### Answer: 23

Expected answer: 23

Correct? Yes

πŸ”— Follow-up

Problem: Suppose initially, there were 38 elephants in the conservation park instead of 14. If the park still received 11 new baby elephants and 25 more elephants from various rescues this year, how many elephants would there be in the park now?

InternLM-Math Base 7B:

  Reasoning: 38+11+25 = <<38+11+25=74>>74
### Answer: 74

Expected answer: 74

Correct? Yes

πŸ”— Problem

Problem: A treasure chest contains 23 emeralds and 30 diamonds. Unfortunately, 39 of the stones are fake and had to be removed. The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest. In another chest, there were 540 rubies which have been equally shared amongst 45 pirates, and then 3 are lost in the division. The remaining number (x) is subtracted from the value of the first chest (g) to get a new value. In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure. What is the value (m) of the remaining treasure?

InternLM-Math Base 7B:

 Reasoning: The value of the chest is 2y-37. The value of the first chest (g) is 2y-37. The value of the second chest (x) is 2y-37. The value of the third chest (s) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m) is 2y-37. The value of the remaining treasure (m)

Expected answer: 125

Correct? No

πŸ”— Problem

Problem: There are 6 confirmed UFO sightings in a small city. After a viral event, sightings increase by a daily average obtained by dividing an additional 504 sightings over the next 14 days. Subtract the initial confirmed sightings from this new daily average. Then, multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3). How many sightings are there according to this calculation?

InternLM-Math Base 7B:

 Reasoning: The new daily average is 504/14 = <<504/14=36>>36.
The number of sightings is 9-3 = <<9-3=6>>6.
The number of sightings is 6x36 = <<6x36=216>>216.
### Answer: 216

Expected answer: 180

Correct? No

πŸ”— Problem

Problem: A blanket maker has 5 square patches of blue material. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. Then, she wants to compare this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. How many patches is the difference between her stock of green patches and the red patches needed for the design?

InternLM-Math Base 7B:

 Reasoning: 26*25 = <<26*25=650>>650
5-650 = <<5-650=-655>>-655
-655-48*21 = <<-655-48*21= -2,655>>-2,655
### Answer: -2,655

Expected answer: 363

Correct? No

πŸ”— Problem

Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?

InternLM-Math Base 7B:

 Reasoning: The villagers picked 38+24+16+13 = <<38+24+16+13=89>>89 baskets of lemons. They have 35-89 = <<35-89=-54>>-54 baskets to get 14 bottles of lemonade from.
The villagers can get 14*-54 = <<14*-54=-714>>-714 bottles of lemonade from the remaining baskets.
### Answer: -714

Expected answer: 784

Correct? No

πŸ”— Problem

Problem: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She also found an additional 49. Being a generous sister, she gave 23 to her brother and 27 to her cousin. How many seashells does Amy have left now?

InternLM-Math Base 7B:

|

Expected answer: 18

Correct? No

πŸ”— Problem

Problem: Princess Anna was playing a numbers game in the kingdom. In the first round of the game, she thought of two numbers: 7 and 10. She added them together. In the second round, she thought of a number 29. She subtracted the result from the first round and then subtracted 8 more from that result. In the final round, Princess Anna added the results from the first and second round and then multiplied the sum by the result from the second round. What was the final result of the Princess's game?

InternLM-Math Base 7B:

 Reasoning: The result of the first round is 7+10 = <<7+10=17>>17. The result of the second round is 29-17 = <<29-17=12>>12. The result of the first and second round is 17+12 = <<17+12=29>>29. The result of the second round is 12x29 = <<12x29=348>>348.
### Answer: 348

Expected answer: 84

Correct? No

πŸ”— Problem

Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?

InternLM-Math Base 7B:

 Reasoning: Sam gave <<48-15=33>>33 dollars to Ellen. After that, he had 15 dollars. Then, he got 24 dollars from his brother. He has 15+24 = <<15+24=39>>39 dollars.
### Answer: 39

Expected answer: 57

Correct? No

πŸ”— Problem

Problem: A group of scientists began studying a river and found that it was 33 kilometers long. To be thorough, they decided to also study a connected tributary, which added 19 kilometers to the total length of waterway they needed to investigate. However, they later realized that a 30-kilometer portion of the river was inaccessible and couldn't be studied. How many kilometers of the river were they able to study?

InternLM-Math Base 7B:

 Reasoning: The scientists were able to study 33+19-30 = <<33+19-30=20>>20 kilometers of the river.
### Answer: 20

Expected answer: 22

Correct? No

πŸ”— Problem

Problem: A photographer took 34 shots at a wedding but decided to remove 19 of them because they were out of focus. The next day he took an additional 21 shots at a different event. Then, he decided to add to this collection, 23 more shots he took on a third event. Similarly, another photographer took 880 shots at a large event and decided to select every 40th shot for his collection. What is the total number of shots in their collections combined?

InternLM-Math Base 7B:

 Reasoning: The photographer took 34+21+23= <<34+21+23=78>>78 shots at the first 3 events. The other photographer took 880/40= <<880/40=22>>22 shots at the large event. The total number of shots in their collection is 78+22= <<78+22=100>>100.
### Answer: 100

Expected answer: 81

Correct? No

πŸ”— Problem

Problem: A pirate found a treasure chest containing 3 times the amount of his previous loot of 13 gold coins. After spending 22 of these coins for the crew's rum, he discovered another loot of 47 gold coins. How many gold coins does the pirate have now?

InternLM-Math Base 7B:

 Reasoning: 3*13 = <<3*13=39>>39
39-22 = <<39-22=17>>17
17+47 = <<17+47=64>>64
### Answer: 64

Expected answer: 64

Correct? Yes

πŸ”— Follow-up

Problem: Recall the pirate's adventure. But let's say, originally the treasure chest he found had 42 times the amount of his previous loot of 13 gold coins instead of 3 times. After spending 22 of these coins for the crew's rum, and discovering another loot of 47 gold coins, how many gold coins does the pirate have now?

InternLM-Math Base 7B:

  Reasoning: 42*13 = <<42*13=546>>546
546-22 = <<546-22=524>>524
524+47 = <<524+47=571>>571
### Answer: 571

Expected answer: 571

Correct? Yes

πŸ”— Problem

Problem: A hiker traveled an average of 900 miles in 36 days. One day, he increases his daily average to 16 miles. This reduces his remaining journey by a certain number of days. After that, he finds a shortcut which saves him an additional 4 days, and a friendly traveller advised him of another path that will save him 40 days. If he also saves 21 days due to good weather, how many days in total did he save on his journey?

InternLM-Math Base 7B:

 Reasoning: The hiker's original daily average is 900/36 = <<900/36=25>>25 miles.
The hiker's new daily average is 16 miles. The number of days he has to travel is 900/16 = <<900/16=56.25>>56.25.
The hiker's new daily average is 16 miles. The number of days he has to travel is 900/16 = 56.25.
The hiker's new daily average is 16 miles. The number of days he has to travel is 56.25.
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The hiker's new daily average is 16 miles. The number of days he has to travel

Expected answer: 74

Correct? No

πŸ”— Problem

Problem: A pillow manufacturing company produces 33 pillows every hour in round the clock operations. In a day, they realized they had incurred a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

InternLM-Math Base 7B:

 Reasoning: 33*24 = <<33*24=792>>792
792-43 = <<792-43=749>>749
### Answer: 749

Expected answer: 749

Correct? Yes

πŸ”— Follow-up

Problem: The pillow manufacturing company decides to adjust their production rate to be consistent with worker shifts, producing 24 pillows every hour instead. However, they still incur a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

InternLM-Math Base 7B:

  Reasoning: 24*24 = <<24*24=576>>576
576-43 = <<576-43=533>>533
### Answer: 533

Expected answer: 533

Correct? Yes

πŸ”— Problem

Problem: In a Castle, there are 5 rooms in one wing. The other wing has 216 bricks. Nowadays, there's a strange rule: one room is equivalent to 36 bricks. Following this, if we have to calculate the sum of total rooms from both wings by converting the number of bricks to the number of rooms. How many rooms would be considered in total according to this rule?

InternLM-Math Base 7B:

 Reasoning: 5 rooms in the 1st wing, 216 bricks in the 2nd wing, 1 room = 36 bricks.
216/36 = <<216/36=6>>6 rooms in the 2nd wing.
5+6 = <<5+6=11>>11 rooms in total.
### Answer: 11

Expected answer: 11

Correct? Yes

πŸ”— Follow-up

Problem: In the same castle, there is a hidden underground passage which has 9 rooms. After discovering these, if you count all the rooms: the original five, the ones found in the second wing when converting the number of bricks to rooms, and these new rooms from the underground passage together. How many rooms are there in the castle in total?

InternLM-Math Base 7B:

 Reasoning: 5+6+9 = <<5+6+9=20>>20 rooms in total.
### Answer: 20

Expected answer: 20

Correct? Yes

πŸ”— Follow-up

Problem: Suppose when we originally counted, we made a mistake and there were actually 35 rooms in the first wing of the castle, not 5. If we still convert the bricks in the second wing into the equivalent number of rooms and add them to this new total, how many rooms are now in the castle excluding the underground passage rooms?

InternLM-Math Base 7B:

  Reasoning: 35 rooms in the 1st wing, 216 bricks in the 2nd wing, 1 room = 36 bricks.
216/36 = <<216/36=6>>6 rooms in the 2nd wing.
35+6 = <<35+6=41>>41 rooms in the castle excluding the underground passage rooms.
### Answer: 41

Expected answer: 41

Correct? Yes

πŸ”— Problem

Problem: A player scored 15 goals each over 31 matches. However, due to an error, 43 of the goals were discounted. Later, the error was rectified and 40 goals were awarded back to the player. Unfortunately, after a reevaluation of the matches, 26 of those goals were deducted from the player again. How many goals does the player end up with?

InternLM-Math Base 7B:

 Reasoning: 15-43+40-26 = <<15-43+40-26=8>>8
### Answer: 8

Expected answer: 436

Correct? No

πŸ”— Problem

Problem: An aquarium has 9 tanks, each with 49 fish. However, 5 of the fish in one tank are relocated. What is the new total number of fish in the aquarium?

InternLM-Math Base 7B:


        

Expected answer: 436

Correct? No

πŸ”— Problem

Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. How many cards does Jeremy have now?

InternLM-Math Base 7B:


        

Expected answer: 27

Correct? No

πŸ”— Problem

Problem: A clock ticks 504 times in 42 minutes. Similarly, another clock ticks 279 times in 31 minutes. Add 34 to the rate of the second clock's ticks per minute. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it. Finally, subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. What is the final value?

InternLM-Math Base 7B:

 Reasoning: The first clock ticks 504/42 = <<504/42=12>>12 times per minute. The second clock ticks 279/31 = <<279/31=9>>9 times per minute. 9+34 = 43. 12*35-41 = 399-41 = 358. 43-358 = -315.
### Answer: -315

Expected answer: 336

Correct? No

πŸ”— Problem

Problem: Nina has noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. How much rainfall did Nina note on Thursday?

InternLM-Math Base 7B:

 Reasoning: The rainfall on Thursday was 39-6-31 = <<39-6-31=2>>2 cm.
### Answer: 2

Expected answer: 2

Correct? Yes

πŸ”— Problem

Problem: A UFO-watching enthusiast reported seeing 50 UFOs in a month. However, a later investigation revealed that 36 of these were actually meteors. In the next month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (i.e., actual) number of UFO sightings from the previous month, with an additional 5. How many UFO sightings were reported by the enthusiast in the second month?

InternLM-Math Base 7B:

 Reasoning: The number of UFOs in the first month is 50-36 = <<50-36=14>>14. The number of UFOs in the second month is 41+14+5 = <<41+14+5=60>>60.
### Answer: 60

Expected answer: 60

Correct? Yes

πŸ”— Problem

Problem: A cat started playing with yarn balls. In her first game, she managed to accumulate 5 yarn balls. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. Finally, she lost some of her balls in her third game due to a playful dog. She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?

InternLM-Math Base 7B:

 Reasoning: The first game, the cat accumulated 5 balls. The second game, she got 5^2+8 = <<5^2+8=29>>29 balls. The third game, she lost 25 times the difference between 45 and 29 balls. 25* (45-29) = <<25*(45-29)=25*16=400>>400 balls. The cat has 5+29-400 = <<5+29-400=-366>>366 balls.
### Answer: 366

Expected answer: 300

Correct? No

πŸ”— Problem

Problem: A basket contains 41 balls. The balls are split into two types - tennis balls and cricket balls. If we remove 16 balls from the basket, we get cricket balls. When 9 ping pong balls and 21 basketballs are added to the basket, what is the total number of balls in the basket?

InternLM-Math Base 7B:

 41-16 = 25 balls in the basket before 16 were removed.
25+9+21 = 55 <<55 is the total number of balls in the basket.>> balls in the basket.
### Answer: 55

Expected answer: 55

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from the first problem, reconsider the situation but this time, instead of adding 21 basketballs to the basket, you only add 2 basketballs after the 9 ping pong balls. How many balls are now in the basket?

InternLM-Math Base 7B:

 9+2 = 11 <<11 is the new number of basketballs.>> basketballs in the basket.
55+11 = 66 <<66 is the new total number of balls.>> balls in the basket.
### Answer: 66

Expected answer: 36

Correct? No

πŸ”— Problem

Problem: The design of a classic wall clock dictates that there should be 1 number represented for every 12 around the clock face. However, your quirky modernist clockmaker friend wants to do things differently. They want to represent 37 hours on the clock's face, each hour has an equivalent of 1 square. Your friend has already completed 32 squares. They left their project for a while, and when they came back, they forgot how many squares they needed to fulfill their quirk. So they did some math to figure it out: they subtracted 32 from 37, added 42 to the result, and then subtracted 37 from that total. Suddenly, an idea occurred to them. What if they add 25 more squares for representing minutes on their quirky clock? Plus, they also wanted to add another 28 squares for seconds. Since your friend is a bit forgetful, they forgot how many squares they need again to finish their project. So, they did a little more math - added 41 to 25, followed by another 28, and then added 17 to the result. Because your friend didn't have enough material, they decided that they could reduce the total number of squares by 23. Finally, they added the number they figured out at the beginning (for hours) to this reduced number. Can you help your friend figure out how many squares they would need in total to complete their quirky clock?

InternLM-Math Base 7B:

 Reasoning: 37-32=<<37-32=5>>5
5+42=<<5+42=47>>47
47-37=<<47-37=10>>10
10+25=<<10+25=35>>35
35+28=<<35+28=63>>63
63-23=<<63-23=40>>40
40+5=<<40+5=45>>45
### Answer: 45

Expected answer: 98

Correct? No

πŸ”— Problem

Problem: An orange farm produced 2 times the 28 pounds of oranges they typically produce in a single day due to a new method. This production also multiplied by the 15 days of the harvest period. If the farm then added 16 pounds of a rare orange variant to this harvest, how much did the farm produce in total?

InternLM-Math Base 7B:

 Reasoning: 2 Γ— 28 = <<2 Γ— 28=56>>56. 15 Γ— 56 = <<15 Γ— 56=840>>840. 16 Γ— 840 = <<16 Γ— 840=1,344>>1,344. 1,344 + 840 = <<1,344+840=2,184>>2,184.

Expected answer: 856

Correct? No

πŸ”— Problem

Problem: A bus has 37 passengers. At the next stop, 20 more passengers get on. Before the bus reaches to the next stop, 44 passengers get off. Now, suppose this remaining number of passengers each pays an $11 fare, but the bus company also deducts a $14 service fee from the total fare. How much revenue does the bus company get?

InternLM-Math Base 7B:

 Reasoning: The number of passengers that get on the bus is 37+20 = <<37+20=57>>57. The number of passengers that get off the bus is 37-44 = <<37-44=9>>9. The number of remaining passengers is 57-9 = <<57-9=48>>48. The total fare is 48*11 = <<48*11=528>>528. The service fee is 14*48 = <<14*48=672>>672. The total revenue is 528-672 = <<528-672=144>>144.

Expected answer: 129

Correct? No

πŸ”— Problem

Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?

InternLM-Math Base 7B:

 Reasoning: The pirate gave away 13+42+19 = <<13+42+19=74>>74 gems. 74-43 = <<74-43=31>>31 gems are left.
### Answer: 31

Expected answer: 31

Correct? Yes

πŸ”— Problem

Problem: A certain reserve has 16 ginger giraffes. They then bring in the same number of golden giraffes as they had of the ginger ones. Later, they decide to add another group of 46 greyish giraffes. What is the total number of giraffes in the reserve now?

InternLM-Math Base 7B:

 Reasoning: The number of golden giraffes is 16.
The number of giraffes in the reserve is 16+16+46 = <<16+16+46=78>>78.
### Answer: 78

Expected answer: 78

Correct? Yes

πŸ”— Follow-up

Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?

InternLM-Math Base 7B:

  Reasoning: The number of giraffes in the reserve is 78-2 = <<78-2=76>>76.
### Answer: 76

Expected answer: 76

Correct? Yes

πŸ”— Follow-up

Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?

InternLM-Math Base 7B:

  Reasoning: The number of golden giraffes is 42.
The number of giraffes in the reserve is 42+42+46 = <<42+42+46=130>>130.
### Answer: 130

Expected answer: 130

Correct? Yes

πŸ”— Problem

Problem: A turtle decides to swim. One day, it travels as many leagues as 11 plus 10, then multiplies that by 16 to get the total distance it swam that week. Later, it realized it had over calculated the distance by 41 leagues. What is the real distance it swam that week?

InternLM-Math Base 7B:


        

Expected answer: 295

Correct? No