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InternLM-Math Base 20B 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 20B:

 Reasoning: The number of words per line is 162/18 = <<162/18=9>>9.
The total number of words per 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 20B:

  Reasoning: The number of words per 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 20B:

  Reasoning: The number of words per line is 162/18 = <<162/18=9>>9.
The total number of words per 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 20B:

 Reasoning: 35+49+33-10+20+14 = <<35+49+33-10+20+14=129>>129
### Answer: 129

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 20B:

 Reasoning: The total number of colored steps on the two jungle gyms is 27+19+19+34 = <<27+19+19+34=99>>99.
### Answer: 99

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 20B:

 Reasoning: 775/31 = <<775/31=25>>25 millimeters of rainfall per hour for the average cloud. 

25 - 22 = <<25-22=3>>3 millimeters of rainfall per hour for the average cloud. 

3 * 23 = <<3*23=69>>69 millimeters of rainfall per hour for the average cloud. 

42 + 69 = <<42+69=111>>111 millimeters of rainfall per hour for the average cloud. 

111 + 47 - 2 = <<111+47-2=148>>148 millimeters of rainfall per hour for the average cloud. 

### Answer: 148

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 20B:

 Reasoning: Nadia practiced for 45+35+35 = <<45+35+35=115>>115 minutes in total that day.
### Answer: 115

Expected answer: 115

Correct? Yes

πŸ”— Follow-up

Problem: Reflecting upon her previous practice sessions, Nadia thought she could do more. She decided to adjust her morning practice time from 45 minutes to 26 minutes. Still maintaining her afternoon and evening sessions at 35 minutes each, how many minutes in total would Nadia be practicing for the day with this adjustment?

InternLM-Math Base 20B:

  Reasoning: Nadia practiced for 26+35+35 = <<26+35+35=96>>96 minutes in total that day.
### Answer: 96

Expected answer: 96

Correct? Yes

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 20B:

 Reasoning: 44/31 = <<44/31=1.419>>1.419
A dress costs $1.419 during the flash sale.
### Answer: 1.419

Expected answer: 660

Correct? No

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 20B:

 Reasoning: The rope maker made 46+19 = <<46+19=65>>65 meters of rope on Tuesday.
By Wednesday, 9 meters of this rope had been damaged and was unusable. So, he has 65-9 = <<65-9=56>>56 meters of usable rope after 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 20B:

  Reasoning: The rope maker had 56 meters of usable rope after Wednesday.
The merchant bought 6 lengths of rope, each of which was as long as the total usable ropes the rope maker had after Wednesday. So, the merchant bought 6*56 = <<6*56=336>>336 meters of rope in total.
### Answer: 336

Expected answer: 336

Correct? Yes

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 20B:

  Reasoning: The rope maker made 46+19 = <<46+19=65>>65 meters of rope on Tuesday.
By Wednesday, 13 meters of this rope had been damaged and was unusable. So, he has 65-13 = <<65-13=52>>52 meters of usable rope after 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 20B:

 Reasoning: Juliana spent $2 Γ— 16 + $25 + $48 = <<2*16+25+48=89>>$89 in total for her gift.
### Answer: 89

Expected answer: 105

Correct? No

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 20B:

 Reasoning: Each friend will get 60/3 = <<60/3=20>>20 beads. Then, each friend will have 20+4 = <<20+4=24>>24 beads.
### Answer: 24

Expected answer: 24

Correct? Yes

πŸ”— Follow-up

Problem: After distributing the beads among her friends, Emma realizes that she actually wanted to divide her 60 beads evenly among 28 friends instead of 3. She recalculates and then adds 4 more beads to each friend's stack after the initial division. How many beads does each friend have now?

InternLM-Math Base 20B:

  Reasoning: Each friend will get 60/28 = <<60/28=2.1428571428571428571428571428571>>2.1428571428571428571428571428571 beads. Then, each friend will have 2.1428571428571428571428571428571+4 = <<2.1428571428571428571428571428571+4=6.1428571428571428571428571428571>>6.1428571428571428571428571428571 beads.
### Answer: 6.1428571428571428571428571428571

Expected answer: 43/7

Correct? Yes

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 20B:

 Reasoning: The boy had 37-4-23 = <<37-4-23=10>>10 straws left after removing 4 and 23 straws. He then multiplied 10 by 45, subtracted 49, and took out 7 more straws. 10*45-49-7 = <<10*45-49-7=399>>399 straws left.
### Answer: 399

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 20B:

 Reasoning: There were 2 trips, and each trip was allowed to see 2 animals. Each animal had 3 baby animals with them, so the number of animals seen per trip was multiplied by 3. If each baby animal could be photographed 21 times, then the total number of photos that could be taken was 2*2*3*21 = <<2*2*3*21=252>>252.
Out of the entire batch, 34 photos were spoiled and unusable, but guests were given the opportunity to take an additional 30 photos later. Therefore, the total number of usable photos was 252-34+30 = <<252-34+30=244>>244.
### Answer: 244

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 20B:

 Reasoning: The learners started with 47 letters. They removed 30 letters, so they had 47-30 = <<47-30=17>>17 letters left. They added 10 letters, so they had 17+10 = <<17+10=27>>27 letters. They removed 3 letters, so they had 27-3 = <<27-3=24>>24 letters left.
### 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 20B:

  Reasoning: The learners had 24 letters. They added 39 letters, so they had 24+39 = <<24+39=63>>63 letters.
### 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 20B:

  Reasoning: The learners started with 47 letters. They removed 30 letters, so they had 47-30 = <<47-30=17>>17 letters left. They added -6 letters, so they had 17-6 = <<17-6=11>>11 letters. They removed 3 letters, so they had 11-3 = <<11-3=8>>8 letters left.
### 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 20B:

 Reasoning: Tommy's average speed is 74/37+3+74/37/3 = <<(74/37+3+74/37)/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3+74/37/3=74/37+3

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 20B:

 Reasoning: Liam has 40 Γ— 16 = <<40*16=640>>640 building blocks in total.
### 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 20B:

  Reasoning: Liam has 640 βˆ’ 25 = <<640-25=615>>615 building blocks left after giving some to his friend.
### 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 20B:

  Reasoning: Liam would have 38 Γ— 16 = <<38*16=608>>608 building blocks in total.
### 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 20B:

 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 20B:

  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 20B:

  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 20B:

 Reasoning: The total snowfall in inches in City A is 50*98/2 = <<50*98/2=2450>>2450. The snow removal has removed 98*36/2 = <<98*36/2=1716>>1716 inches of snow. The remaining snow in inches in City A is 2450-1716 = <<2450-1716=734>>734.
### Answer: 734

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 20B:

 Reasoning: The pirate finds 28+21 = <<28+21=49>>49 rubies on the second day. He 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 20B:

  Reasoning: The pirate finds 29 rubies on the third day. He loses 36 rubies. He has 77+29-36 = <<77+29-36=70>>70 rubies in total now.
### 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 20B:

  Reasoning: The pirate finds 6+21 = <<6+21=27>>27 rubies on the second day. He 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 20B:

 Reasoning: 47+7+17+48+31-27 = <<47+7+17+48+31-27=154>>154 inches of snow.
### Answer: 154

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 20B:

 Reasoning: The vendor sold 46*11 = <<46*11=506>>506 balloons during the fair.
The vendor sold 31 balloons to stragglers.
The vendor sold 506+31 = <<506+31=537>>537 balloons in total that day.
### Answer: 537

Expected answer: 537

Correct? Yes

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 20B:

 Reasoning: Mary's score in the second game was 31+35 = <<31+35=66>>66 points. John's score in the second game was 39+35 = <<39+35=74>>74 points. Mary's score in the special round was 66*23 = <<66*23=1518>>1518 points. John's score in the special round was 74*23 = <<74*23=1702>>1702 points. Mary and John's final score in the special round was 1518+1702 = <<1518+1702=3220>>3220 points.
### Answer: 3220

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 20B:

 Reasoning: The company produced 17+18+29 = <<17+18+29=64>>64 chairs in the morning and evening. They gave away 48 chairs to charity and used 7 chairs for quality testing. The number of chairs left is 64-48-7 = <<64-48-7=9>>9.
### 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 20B:

 Reasoning: The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra long zip lines and 20 regular zip lines. Each extra long zip line requires 31 special hooks to install. Each regular zip line requires 31 special hooks to install. The new jungle gym has 2 extra

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 20B:

 Reasoning: John has $168/21 = <<168/21=8>>8 dollars per day.
John has 8*21 = <<8*21=168>>168 dollars after 21 days.
John has 168+47 = <<168+47=215>>215 dollars after 21 days and his job.
John has 215+12+45 = <<215+12+45=272>>272 dollars after 21 days and his job.
### 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 20B:

 Reasoning: The robot can stack 32 boxes in 1 minute.
The robot can stack 32*4 = <<32*4=128>>128 boxes in 4 minutes.
The robot can stack 128+1 = <<128+1=129>>129 boxes in 4 minutes and 1 extra box.
### 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 20B:

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

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 20B:

  Reasoning: The robot can stack 32 boxes in 1 minute.
The robot can stack 32*4 = <<32*4=128>>128 boxes in 4 minutes.
The robot can stack 128+11 = <<128+11=139>>139 boxes in 4 minutes and 11 extra boxes.
### 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 20B:

 Reasoning: The number of tigers that remained in the female tiger's territory is 26-17-6 = <<26-17-6=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

πŸ”— Follow-up

Problem: Suppose that originally the female tiger had given birth to 24 cubs instead of 26 in her lifetime, and the same number of 17 cubs had not survived the harsh conditions of the wild. If the same number of surviving tigers, 6, moved to other territories, how many tigers would have remained in the female tiger's territory?

InternLM-Math Base 20B:

  Reasoning: The number of tigers that remained in the female tiger's territory is 24-17-6 = <<24-17-6=1>>1.
### Answer: 1

Expected answer: 1

Correct? Yes

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 20B:

 Reasoning: The number of penguins in the colony is 44+39-16+35 = <<44+39-16+35=94>>94.
### Answer: 94

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 20B:

 Reasoning: The helicopter travels 10+40+20 = <<10+40+20=70>>70 miles in one minute.
The helicopter travels 70*12 = <<70*12=840>>840 miles in 12 minutes.
### Answer: 840

Expected answer: 840

Correct? Yes

πŸ”— Follow-up

Problem: After re-evaluating its performance, the helicopter realized that its actual speed increase was lesser than initially thought. Instead of the initial 40 miles speed increase, the increase was just 2 miles. Given that the original speed of 10 miles and an additional bonus speed of 20 miles remained the same, how far will the helicopter be able to travel in 12 minutes at this revised speed?

InternLM-Math Base 20B:

  Reasoning: The helicopter travels 10+2+20 = <<10+2+20=32>>32 miles in one minute.
The helicopter travels 32*12 = <<32*12=384>>384 miles in 12 minutes.
### Answer: 384

Expected answer: 384

Correct? Yes

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 20B:

 Reasoning: 41-26 = <<41-26=15>>15
The new telescope needs to be 15 more magnification strength.
### Answer: 15

Expected answer: 15

Correct? Yes

πŸ”— Follow-up

Problem: The Space Institute realized that the initial magnification power of the existing telescope was actually 16, not 26 as previously thought. If they still want to reach a magnification strength of 41, how much more magnification is now needed compared to the existing telescope?

InternLM-Math Base 20B:

  Reasoning: 41-16 = <<41-16=25>>25
The new telescope needs to be 25 more magnification strength.
### Answer: 25

Expected answer: 25

Correct? Yes

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 20B:

 Reasoning: Sophie worked 2 hours on Monday. She got $18 for every hour, so she got $18*2 = <<18*2=36>>36 dollars for her 2 hours of work. She then spent $4 on an ice cream and $4 on a coffee, so she spent $4+$4 = <<4+4=8>>8 dollars. She then added her leftover amount to her pay for her next single hour of work. She then got a $45 bonus from her grandmother. So, she has $36-$8+$18+$45 = <<36-8+18+45=91>>91 dollars in total now.
### Answer: 91

Expected answer: 91

Correct? Yes

πŸ”— Follow-up

Problem: In the same scenario, imagine if Sophie's parents now give her $5 for every hour she works at the family business instead of $18. She still works for two hours on Monday, spends the same amount on ice cream and coffee, works an additional hour, and receives the same $45 bonus from her grandmother. How much money does Sophie have in total now?

InternLM-Math Base 20B:

  Reasoning: Sophie worked 2 hours on Monday. She got $5 for every hour, so she got $5*2 = <<5*2=10>>10 dollars for her 2 hours of work. She then spent $4 on an ice cream and $4 on a coffee, so she spent $4+$4 = <<4+4=8>>8 dollars. She then added her leftover amount to her pay for her next single hour of work. She then got a $45 bonus from her grandmother. So, she has $10-$8+$5+$45 = <<10-8+5+45=52>>52 dollars in total now.
### Answer: 52

Expected answer: 52

Correct? Yes

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 20B:

 Reasoning: The company has 30+6-7+14 = <<30+6-7+14=43>>43 towels after their first batch of production. 

The company has 13-19-20-3 = <<13-19-20-3=-19>>-19 towels after their second batch of production. 

The company has 43-19 = <<43-19=24>>24 towels now.
### Answer: 24

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 20B:

 Reasoning: The extraterrestrial being will have 50+20 = <<50+20=70>>70 energy crystals in total. The zorbcraft's compartment will contain 50+70 = <<50+70=120>>120 energy crystals and 6 lumino-gems. Therefore, the zorbcraft's compartment will contain 120+6 = <<120+6=126>>126 items in total.
### Answer: 126

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 20B:

 Reasoning: The number of new dinosaur types added was 972/27 = <<972/27=36>>36. The number of Velociraptors was 43-36 = <<43-36=7>>7. The number of eggs laid by the Velociraptors was 7*7 = <<7*7=49>>49.
### Answer: 49

Expected answer: 49

Correct? Yes

πŸ”— Follow-up

Problem: Following up from the previous scenario, the park's wardens discovered that 46 of the eggs laid by the Velociraptors were not fertilized and not going to hatch. What is the number of Velociraptor eggs that are expected to successfully hatch?

InternLM-Math Base 20B:

  Reasoning: The number of Velociraptor eggs that are expected to successfully hatch is 49-46 = <<49-46=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

πŸ”— Follow-up

Problem: Continuing off the previous scenario, the wardens realized that they had made a mistake in their calculations. Each box actually contained 46 dinosaurs, not 27. If this was the case, how many total eggs are expected to be laid by the Velociraptors this week?

InternLM-Math Base 20B:

  Reasoning: The number of new dinosaur types added was 972/46 = <<972/46=21>>21. The number of Velociraptors was 43-21 = <<43-21=22>>22. The number of eggs laid by the Velociraptors was 22*7 = <<22*7=154>>154.
### Answer: 154

Expected answer: 3521/23

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 20B:

 Reasoning: 46-16 = <<46-16=30>>30 oranges are left.
### 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 20B:

  Reasoning: 49-16 = <<49-16=33>>33 oranges are left.
### 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 20B:

 Reasoning: The factory produces 308/7 = <<308/7=44>>44 toothbrushes per minute.
In 16 minutes, the factory produces 16*44 = <<16*44=704>>704 toothbrushes.
In the first minute, the factory produces 37 toothbrushes.
The total number of toothbrushes produced is 704+37 = <<704+37=741>>741.
### Answer: 741

Expected answer: 741

Correct? Yes

πŸ”— Follow-up

Problem: Following the production in the previous scenario, the toothbrush factory suddenly had to halt production for unexpected maintenance and this affected their output, causing a reduction by 25 toothbrushes. How many toothbrushes were produced in total after this reduction?

InternLM-Math Base 20B:

  Reasoning: The factory produces 308/7 = <<308/7=44>>44 toothbrushes per minute.
In 16 minutes, the factory produces 16*44 = <<16*44=704>>704 toothbrushes.
In the first minute, the factory produces 37 toothbrushes.
The total number of toothbrushes produced is 704+37 = <<704+37=741>>741.
### Answer: 741

Expected answer: 716

Correct? No

πŸ”— Follow-up

Problem: In the previous scenario, instead of increasing its production to 308 toothbrushes every 7 minutes, suppose that the factory instead increased its production to 308 toothbrushes every 27 minutes. If this new rate of production continued for 16 minutes and the 37 toothbrushes produced at the start of the shift are taken into account, how many toothbrushes were produced in total now?

InternLM-Math Base 20B:

  Reasoning: The factory produces 308/27 = <<308/27=11>>11 toothbrushes per minute.
In 16 minutes, the factory produces 16*11 = <<16*11=176>>176 toothbrushes.
The total number of toothbrushes produced is 176+37 = <<176+37=213>>213.
### Answer: 213

Expected answer: 5927/27

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 20B:

 Reasoning: The research laboratory has 39+7+17+12+18+39+19 = <<39+7+17+12+18+39+19=175>>175 telescopes at the end of the sixth month.
### Answer: 175

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 20B:

 Reasoning: The number of utensils on the table is 28*26-46 = <<28*26-46=630-46=584>>584.
### Answer: 584

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 20B:

 Reasoning: The unicorn has 50+36 = <<50+36=86>>86 roses in her garden before the storm.
The unicorn has 36-25 = <<36-25=11>>11 blue roses left after the storm.
The unicorn has 50+11 = <<50+11=61>>61 roses left after the storm.
### Answer: 61

Expected answer: 61

Correct? Yes

πŸ”— Follow-up

Problem: After the storm, the magical unicorn plants 41 more pink roses in her mystical garden. How many roses does the unicorn have in her garden now?

InternLM-Math Base 20B:

  Reasoning: The unicorn has 61+41 = <<61+41=102>>102 roses in her garden now.
### Answer: 102

Expected answer: 102

Correct? Yes

πŸ”— Follow-up

Problem: Originally, the magical unicorn had 50 red roses and 36 blue roses in her mystical garden. But if she had initially had 50 red roses and 38 blue roses instead, and still lost 25 roses in the storm, how many roses would she have left in her garden after the storm?

InternLM-Math Base 20B:

  Reasoning: The unicorn has 50+38 = <<50+38=88>>88 roses in her garden before the storm.
The unicorn has 38-25 = <<38-25=13>>13 blue roses left after the storm.
The unicorn has 50+13 = <<50+13=63>>63 roses left after the storm.
### Answer: 63

Expected answer: 63

Correct? Yes

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 20B:

 Reasoning: The factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. This means that 100/2 = <<100/2=50>>50 bottles are sent to the first warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. This means that 3*50+29 = <<3*50+29=149>>149 bottles were marked for shipping. By the end of the day, 28 more bottles were added to this shipment. This means that 149+28 = <<149+28=177>>177 bottles were marked for shipping in total.
### Answer: 177

Expected answer: 207

Correct? No

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 20B:

 Reasoning: The height of the window frame is 925/37+26 = <<(925/37)+26=35>>35 inches.
The width of the window is 11 inches greater than the height, so the width is 35+11 = <<35+11=46>>46 inches.
The circumference of the window is 2*46+35 = <<2*46+35=117>>117 inches.
The size of the glass for the window is 117-32 = <<117-32=85>>85 inches.
### Answer: 85

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 20B:

 Reasoning: The total share per crew member is 135/9*323/19-14 = <<135/9*323/19-14=12.5>>12.5.
### Answer: 12.5

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 20B:

 Reasoning: The second batch of chocolates needs 38 grams of cocoa, 26 grams of sugar, and 176 grams of chocolate. The third batch of chocolates needs 38 grams of cocoa, 18 grams of milk, and 176 grams of chocolate. The difference in the total weight of ingredients between the second and third batch of chocolates is 26 grams of sugar minus 18 grams of milk, which is 8 grams. ### Answer: 8

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 20B:

 Reasoning: Jenny has 9 red colored pencils and 38-9 = <<38-9=29>>29 green colored pencils. The total number of times she used all the pencils is 9*29 = <<9*29=261>>261.
### Answer: 261

Expected answer: 261

Correct? Yes

πŸ”— Follow-up

Problem: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. How many times in total did she use all her pencils?

InternLM-Math Base 20B:

  Reasoning: Jenny used her blue pencils 31+16 = <<31+16=47>>47 times. The total number of times she used all her pencils is 47+261 = <<47+261=308>>308.
### Answer: 308

Expected answer: 308

Correct? Yes

πŸ”— Follow-up

Problem: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils?

InternLM-Math Base 20B:

  Reasoning: Jenny has 12 red colored pencils and 38-12 = <<38-12=26>>26 green colored pencils. The total number of times she used all the pencils is 12*26 = <<12*26=312>>312.
### Answer: 312

Expected answer: 312

Correct? Yes

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 20B:

 Reasoning: The total number of transistors is 17, and each transistor has 16 connections. So the total number of connections is 17*16 = <<17*16=272>>272. However, the robot has one less connection, so the total number of connections is 272-1 = <<272-1=271>>271. However, 41 extra connections were added, so the total number of connections 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 20B:

  Reasoning: The total number of transistors is 17, and each transistor has 16 connections. So the total number of connections is 17*16 = <<17*16=272>>272. However, the robot has one less connection, so the total number of connections is 272-1 = <<272-1=271>>271. However, 13 extra connections were added, so the total number of connections 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 20B:

 Reasoning: 24Γ—31 = <<24*31=744>>744 kids on the busy day.
744βˆ’6 = <<744-6=738>>738 kids on the busy day.
738βˆ’12 = <<738-12=726>>726 kids counted in total.
### Answer: 726

Expected answer: 726

Correct? Yes

πŸ”— Follow-up

Problem: In the previous problem, instead of 31 attractions at the jungle gym, let's say there were only 6 attractions. So now, on a busy day, you have 24 kids at each of these 6 attractions. If that rainy day still only had 6 kids at the jungle gym in total, and there were 12 squirrels, how many kids will you have counted in total now?

InternLM-Math Base 20B:

  Reasoning: 24Γ—6 = <<24*6=144>>144 kids on the busy day.
144βˆ’6 = <<144-6=138>>138 kids on the busy day.
138βˆ’12 = <<138-12=126>>126 kids counted in total.
### Answer: 126

Expected answer: 126

Correct? Yes

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 20B:

 Reasoning: 23-5 = <<23-5=18>>18, 18*6 = <<18*6=108>>108, 108*7 = <<108*7=756>>756, 756-48 = <<756-48=708>>708.
The ring's magic will be 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 20B:

  Reasoning: 8-5 = <<8-5=3>>3, 3*6 = <<3*6=18>>18, 18*7 = <<18*7=126>>126, 126-48 = <<126-48=78>>78.
The ring's magic will be 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 20B:

 Reasoning: The child makes 15 cookies in one hour. The child spends 24 hours making the cookies. 15*24 = <<15*24=360>>360 cookies are made in total.
### 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 20B:

  Reasoning: The child makes 40 cookies in one hour. The child spends 24 hours making the cookies. 40*24 = <<40*24=960>>960 cookies are made in total.
### 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 20B:

 Reasoning: The silversmith has 28+24-16 = <<28+24-16=36>>36 rings after the creation stage.
He traded 21 rings, so he has 36-21 = <<36-21=15>>15 rings after the trading stage.
He created 26 times the number of rings he had left, so he has 26*15 = <<26*15=390>>390 rings after the creation stage.
He made 7 platinum and 47 bronze rings, so he has 390+7+47 = <<390+7+47=444>>444 rings in total now.
### Answer: 444

Expected answer: 444

Correct? Yes

πŸ”— Follow-up

Problem: In the previous scenario, let's consider the silversmith initially had made not 28 silver rings, but only 18. He still had the 24 gold rings and subtracted from them his original stock of 16 silver rings. He continues through the same steps of trading, creating the rings for the special order, and the other rings as before. How many rings does the silversmith have now if he started with 18 silver rings instead of 28?

InternLM-Math Base 20B:

  Reasoning: The silversmith has 18+24-16 = <<18+24-16=26>>26 rings after the creation stage.
He traded 21 rings, so he has 26-21 = <<26-21=5>>5 rings after the trading stage.
He created 26 times the number of rings he had left, so he has 26*5 = <<26*5=130>>130 rings after the creation stage.
He made 7 platinum and 47 bronze rings, so he has 130+7+47 = <<130+7+47=184>>184 rings in total now.
### Answer: 184

Expected answer: 184

Correct? Yes

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 20B:

 Reasoning: The gardener plants 19 rows of 40 flowers each. This is 19*40 = <<19*40=760>>760 flowers. Half of them grow properly, so 760/2 = <<760/2=380>>380 flowers grow properly. The gardener also plants 18 and 48 bulbs in two corners. The difference between the total number of flowers in the rows and the small corners is 380 - 18 - 48 = <<380-18-48=314>>314.
### Answer: 314

Expected answer: 314

Correct? Yes

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 20B:

 Reasoning: The bird laid 4*11 = <<4*11=44>>44 eggs this month.
The bird laid 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 20B:

  Reasoning: The forest rangers distributed 216/18 = <<216/18=12>>12 eggs to each nest.
The forest rangers distributed 12*18 = <<12*18=216>>216 eggs to the nests.
The number of eggs in the forest is 216+216 = <<216+216=432>>432.
### Answer: 432

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 20B:

 Reasoning: You have 41+13+41 = <<41+13+41=95>>95 drops of paint in the first mixture. You take 34 drops of the first mixture and add it to a new mixture. You then take away 34 drops from the new mixture. The number of drops in the new mixture is 95-34-34 = <<95-34-34=27>>27.
### Answer: 27

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 20B:

 Reasoning: The difference between 32 and 27 is 5. 5*49 = <<5*49=245>>245. 245+12*9 = <<245+12*9=381>>381. 381+31 = <<381+31=412>>412.
### Answer: 412

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 20B:

 Reasoning: The farmer would have earned 29 dollars for every carrot over 44 per day.
The farmer harvested 45 carrots in one day, which is 1 carrot over 44.
So, the farmer would have earned 29 dollars for 1 carrot.
### 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 20B:

  Reasoning: The farmer would have earned 41 dollars for every carrot over 44 per day.
The farmer harvested 45 carrots in one day, which is 1 carrot over 44.
So, the farmer would have earned 41 dollars for 1 carrot.
### 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 20B:

 Reasoning: The worker started with 26 pairs of socks. 50 pairs got torn and had to be discarded. The worker was able to produce 36 more pairs to replace them. So, the worker has 26+36 = <<26+36=62>>62 pairs of socks in total. Each pair of socks is sold for $37. So, the worker earns 62*37 = <<62*37=2294>>$2294 from the sock sales. The worker also found a $13 bill on the floor. So, the worker has $2294+$13 = <<2294+13=2307>>$2307 in total.
### Answer: $2307

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 20B:

 Reasoning: The jewelry maker started with 38+15 = <<38+15=53>>53 beads. She removed 560/40 = <<560/40=14>>14 beads. She added 39+1 = <<39+1=40>>40 beads. She has 53-14+40 = <<53-14+40=99>>99 beads now.
### Answer: 99

Expected answer: 79

Correct? No

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 20B:

 Reasoning: The number of sharks in the aquarium is 30-23+14-3 = <<30-23+14-3=28>>28. The final figure for the research is 28*43 = <<28*43=1204>>1204.
### Answer: 1204

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 20B:

 Reasoning: You collected 28+14 = <<28+14=42>>42 emeralds and sapphires in the third round.
You had 28+14-150/10-150/10 = <<28+14-150/10-150/10=2>>2 emeralds and sapphires left after the third round.
### Answer: 2

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 20B:

 Reasoning: The train carries 15+12 = <<15+12=27>>27 containers on Fridays. The train carries 27+26 = <<27+26=53>>53 containers on Monday. The train carries 53-32 = <<53-32=21>>21 containers on Wednesday. The train carries 21+2 = <<21+2=23>>23 containers on the first day of the week. The train carries 23+48 = <<23+48=71>>71 containers after the first stop.
### Answer: 71

Expected answer: 71

Correct? Yes

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 20B:

 Reasoning: The farmer had 39+33 = <<39+33=72>>72 lemons at the end of the first day. 12 lemons got spoiled, so he had 72-12 = <<72-12=60>>60 lemons left. He used 23 lemons to make lemonade, so he had 60-23 = <<60-23=37>>37 lemons left after making the lemonade.
### Answer: 37

Expected answer: 37

Correct? Yes

πŸ”— Follow-up

Problem: In our previous calculations, we found out how many lemons the farmer had left after some got spoiled and some were used to make lemonade. However, what if the farmer actually had 24 lemons get spoiled on the first day instead of 12? How many lemons would the farmer have left after making the lemonade?

InternLM-Math Base 20B:

  Reasoning: The farmer had 39+33 = <<39+33=72>>72 lemons at the end of the first day. 24 lemons got spoiled, so he had 72-24 = <<72-24=48>>48 lemons left. He used 23 lemons to make lemonade, so he had 48-23 = <<48-23=25>>25 lemons left after making the lemonade.
### Answer: 25

Expected answer: 25

Correct? Yes

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 20B:

 Reasoning: The bee collects 33*15 = <<33*15=495>>495 nectar droplets in an hour.
The bee has 495+26 = <<495+26=521>>521 nectar droplets after an hour.
### 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 20B:

  Reasoning: The bee collects 33*15 = <<33*15=495>>495 nectar droplets in an hour.
The bee has 495+49 = <<495+49=544>>544 nectar droplets after an hour.
### 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 20B:

 Reasoning: The company produces 350/7 = <<350/7=50>>50 extra marshmallows per hour. They produce 6+50 = <<6+50=56>>56 extra packs per hour. They produce 36-43 = <<36-43=-7>>-7 packs per hour. They produce 36-7 = <<36-7=29>>29 packs per hour.
### Answer: 29

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 20B:

 Reasoning: 882/21 = <<882/21=42>>42 lights a day.
460/20 = <<460/20=23>>23 orbs a day.
42-23 = <<42-23=19>>19
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 20B:

 Reasoning: The limited edition candy has 20-19 = <<20-19=1>>1 flavor, 14+25+16+43+7+3 = <<14+25+16+43+7+3=100>>100 base ingredients, and 43+7+3 = <<43+7+3=53>>53 extra goodies.
### Answer: 1, 100, 53

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 20B:

 Reasoning: 32+33+29 = <<32+33+29=94>>94 officers were on duty at the end of the first day.
21 officers were transferred from the downtown district, so 29-21 = <<29-21=8>>8 officers remained in the downtown district.
39 officers were added to the remaining duty force, so 94+39 = <<94+39=133>>133 officers were on duty at the end of the second day.
14 officers joined the force, so 133+14 = <<133+14=147>>147 officers were on duty by the end of the day.
### Answer: 147

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 20B:

 Reasoning: The distance between the Moon and the Earth changed from 36 to 36-19 = <<36-19=17>>17 to 17+11 = <<17+11=28>>28 million kilometers. 19*28-27 = <<19*28-27=513>>513.
### Answer: 513

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 20B:

 Reasoning: The first tiger covered a distance of 2*9+44 = <<2*9+44=62>>62 meters.
The second tiger covered a distance of 23+46 = <<23+46=69>>69 meters.
The second tiger covered a distance of 69-62 = <<69-62=7>>7 meters.
### Answer: 7

Expected answer: 7

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from the previous situation, after retracing the distance equal to the first tiger's steps and the leap, the second tiger then decides to run an additional 30 meters before making a 44-meter leap. How much total distance did the second tiger cover after all these movements?

InternLM-Math Base 20B:

  Reasoning: The second tiger covered a distance of 7+30+44 = <<7+30+44=81>>81 meters.
### Answer: 81

Expected answer: 81

Correct? Yes

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 20B:

 Reasoning: 26 * 7 = <<26*7=182>>182
<<26*7=182>>182 + 8 = <<26*7+8=190>>190
<<26*7+8=190>>190 + 31 = <<26*7+8+31=221>>221
50 - 19 = <<50-19=31>>31
<<50-19=31>>31 + <<26*7+8+31=221>>221 = <<50-19+26*7+8+31=252>>252
<<50-19+26*7+8+31=252>>252 + 48 = <<50-19+26*7+8+31+48=300>>300
### Answer: 300

Expected answer: 300

Correct? Yes

πŸ”— Follow-up

Problem: In the previous scenario, the toothpaste factory was producing 26 tubes of toothpaste every hour on Sundays. Now, consider a different Sunday where they changed their production to 22 tubes every hour instead, while still working for 7 hours and producing 8 additional tubes. They continue their production on Monday by adding an additional 31 tubes. With the same scenario in the packaging department, where they started with 50 boxes and used 19 of them leaving (50 - 19) boxes. The total number of toothpaste tubes ready for packaging is calculated by adding the packaged box number with Monday's production. If they produced an additional 48 tubes on Tuesday, how many tubes of toothpaste have they produced up till Tuesday now?

InternLM-Math Base 20B:

  Reasoning: 22 * 7 = <<22*7=154>>154
<<22*7=154>>154 + 8 = <<22*7+8=162>>162
<<22*7+8=162>>162 + 31 = <<22*7+8+31=193>>193
50 - 19 = <<50-19=31>>31
<<50-19=31>>31 + <<22*7+8+31=193>>193 = <<50-19+22*7+8+31=224>>224
<<50-19+22*7+8+31=224>>224 + 48 = <<50-19+22*7+8+31+48=272>>272
### Answer: 272

Expected answer: 272

Correct? Yes

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 20B:

 Reasoning: The unicorn has 42+26+44+33+40-14 = <<42+26+44+33+40-14=165>>165 items altogether.
### Answer: 165

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 20B:

 Reasoning: The captain has 23 types of jewels. Each type has 28 jewels. So, he has 23*28 = <<23*28=644>>644 jewels in total.
He lost 40 jewels, so he has 644-40 = <<644-40=604>>604 jewels left.
He found 16 jewels, so he has 604+16 = <<604+16=620>>620 jewels now.
### Answer: 620

Expected answer: 620

Correct? Yes

πŸ”— Follow-up

Problem: Following the discovery of additional jewels, the pirate captain realized he had miscalculated the number of types of jewels in his original stash. Instead of 23 types of jewels, he remembered that he actually only had 17 types originally, with each type still containing 28 jewels. After recalculating his treasure and still taking into account the loss of 40 jewels and the 16 he found on a deserted island, how many jewels does he have now?

InternLM-Math Base 20B:

  Reasoning: The captain has 17 types of jewels. Each type has 28 jewels. So, he has 17*28 = <<17*28=476>>476 jewels in total.
He lost 40 jewels, so he has 476-40 = <<476-40=436>>436 jewels left.
He found 16 jewels, so he has 436+16 = <<436+16=452>>452 jewels now.
### Answer: 452

Expected answer: 452

Correct? Yes

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 20B:

 Reasoning: 38+4 = <<38+4=42>>42, 42*18 = <<42*18=756>>756, 756+6+25 = <<756+6+25=777>>777.
### Answer: 777

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 20B:

 Reasoning: The gardener planted 13 sunflowers. The next day, he worked out that he needed to plant 37*5-18 = <<37*5-18=122>>122 more. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total of 13+122-10 = <<13+122-10=125>>125. 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 that he needed 92/23 = <<92/23=4>>4 spots. 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. He ended up with 125+4*2 = <<125+4*2=133>>133.
### Answer: 133

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 20B:

 Reasoning: 18*21 = <<18*21=378>>378 flies.
### 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 20B:

  Reasoning: 18*21 + 39 = <<18*21+39=417>>417 flies.
### Answer: 417

Expected answer: 417

Correct? Yes

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 20B:

  Reasoning: 46*21 = <<46*21=966>>966 flies.
### 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 20B:

 Reasoning: The number of chairs in the meeting room now for the event is 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 20B:

  Reasoning: The number of chairs in the meeting room now for the event is 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 20B:

 Reasoning: There are 14+11+25 = <<14+11+25=50>>50 elephants in the park now.
### 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 20B:

  Reasoning: There are 50-27 = <<50-27=23>>23 elephants left in the park now.
### 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 20B:

  Reasoning: There would be 38+11+25 = <<38+11+25=74>>74 elephants in the park now.
### 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 20B:

 Reasoning: 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?

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 20B:

 Reasoning: 504/14 = <<504/14=36>>36 sightings per day. 36-6 = <<36-6=30>>30 sightings per day. 9-3 = <<9-3=6>>6 sightings per day. 30*6 = <<30*6=180>>180 sightings.
### Answer: 180

Expected answer: 180

Correct? Yes

πŸ”— Follow-up

Problem: After reconsideration, the investigator noticed a mistake in the calculations. They remembered that the maximum number of sightings recorded in one day was actually 35, not 9. If they corrected their mistake and subtracted 3 from 35 instead, and then multiplied by the previously calculated daily increase, what would be the corrected calculated number of sightings?

InternLM-Math Base 20B:

  Reasoning: 35-3 = <<35-3=32>>32 sightings per day. 32*30 = <<32*30=960>>960 sightings.
### Answer: 960

Expected answer: 960

Correct? Yes

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 20B:

 Reasoning: The number of red patches is 26*25 = <<26*25=650>>650.
The number of green patches is 48*21 = <<48*21=1008>>1008.
The difference between the number of green patches and the number of red patches is 1008-650 = <<1008-650=358>>358.
### Answer: 358

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 20B:

 Reasoning: The villagers picked 38+24+16+13 = <<38+24+16+13=91>>91 baskets of lemons. They used 35 baskets to make lemonade. They had 91-35 = <<91-35=56>>56 baskets left. Each basket could produce 14 bottles of lemonade. So, they got 56*14 = <<56*14=784>>784 bottles of lemonade from the remaining baskets.
### Answer: 784

Expected answer: 784

Correct? Yes

πŸ”— Follow-up

Problem: The villagers in Lemonville reconsidered their previous decision and determined that they would only need 23 baskets of lemons, instead of their initial estimation of 35 baskets, to make their village famous lemonade. If each basket of lemons could still produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets now?

InternLM-Math Base 20B:

  Reasoning: The villagers picked 38+24+16+13 = <<38+24+16+13=91>>91 baskets of lemons. They used 23 baskets to make lemonade. They had 91-23 = <<91-23=68>>68 baskets left. Each basket could produce 14 bottles of lemonade. So, they got 68*14 = <<68*14=952>>952 bottles of lemonade from the remaining baskets.
### Answer: 952

Expected answer: 952

Correct? Yes

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 20B:

 Reasoning: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. She had 21-15 = <<21-15=6>>6 seashells left. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She had 6+13 = <<6+13=19>>19 seashells. She also found an additional 49. She had 19+49 = <<19+49=68>>68 seashells. Being a generous sister, she gave 23 to her brother and 27 to her cousin. She had 68-23-27 = <<68-23-27=18>>18 seashells left now.
### Answer: 18

Expected answer: 18

Correct? Yes

πŸ”— Follow-up

Problem: In the initial story, Amy found 21 seashells in the sandbox and gave 15 of them away. She then found another 13 seashells, more than what she had kept for herself from the prior day. Additionally, she found 49 more seashells. However, let's reconsider the story and change the part where Amy gave away 23 seashells to her brother. Instead, imagine that she gave away 32 seashells to her brother. If she still gave 27 seashells to her cousin after this, how many seashells does Amy have left now?

InternLM-Math Base 20B:

  Reasoning: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. She had 21-15 = <<21-15=6>>6 seashells left. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She had 6+13 = <<6+13=19>>19 seashells. She also found an additional 49. She had 19+49 = <<19+49=68>>68 seashells. Being a generous sister, she gave 32 to her brother and 27 to her cousin. She had 68-32-27 = <<68-32-27=9>>9 seashells left now.
### Answer: 9

Expected answer: 9

Correct? Yes

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 20B:

 Reasoning: In the first round, Princess Anna added 7 and 10 to get 17.
In the second round, Princess Anna subtracted 17 from 29 to get 12, and then subtracted 8 from 12 to get 4.
In the final round, Princess Anna added 17 and 4 to get 21, and then multiplied 21 by 4 to get 84.
### Answer: 84

Expected answer: 84

Correct? Yes

πŸ”— Follow-up

Problem: Following the princess' first game, her little sister, Princess Bella, wanted to join in with her own twist. Bella did as follows: In the first round, Bella copied Anna and added the same two numbers: 7 and 10 together. For the second round, sister Bella thought of the number 33. Just like Anna, She subtracted the result from the first round and then decreased it by 8. In the final round, Princess Bella, like Anna, added the results from the first and second round. Then, she multiplied the sum by the result from her modified second round. What was the final result of Princess Bella's game?

InternLM-Math Base 20B:

  Reasoning: In the first round, Princess Bella added 7 and 10 to get 17.
In the second round, Princess Bella subtracted 17 from 33 to get 16, and then decreased it by 8 to get 8.
In the final round, Princess Bella added 17 and 8 to get 25, and then multiplied 25 by 8 to get 200.
### Answer: 200

Expected answer: 200

Correct? Yes

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 20B:

 Reasoning: Ellen had 15 dollars. Sam had 48 dollars. Sam gave 48-15 = <<48-15=33>>33 dollars to Ellen. Then, Sam got 24 dollars from his brother. So, Sam has 33+24 = <<33+24=57>>57 dollars now.
### Answer: 57

Expected answer: 57

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from the previous scenario, let's say Sam decides to multiply the money he has now by the amount Ellen originally had, due to a lucky charm he believes in. How much money does Sam end up with after this multiplication?

InternLM-Math Base 20B:

  Reasoning: Sam has 57 dollars now. Ellen originally had 15 dollars. So, Sam has 57*15 = <<57*15=855>>855 dollars after the multiplication.
### Answer: 855

Expected answer: 855

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from our previous scenario, let's say that actually, Sam had 46 dollars originally, not 48. He still gave some money to Ellen, leaving him with as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. Considering this, how much money does Sam have now?

InternLM-Math Base 20B:

  Reasoning: Ellen had 15 dollars. Sam had 46 dollars. Sam gave 46-15 = <<46-15=31>>31 dollars to Ellen. Then, Sam got 24 dollars from his brother. So, Sam has 31+24 = <<31+24=55>>55 dollars now.
### Answer: 55

Expected answer: 55

Correct? Yes

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 20B:

 Reasoning: The scientists were able to study 33+19-30 = <<33+19-30=22>>22 kilometers of the river.
### Answer: 22

Expected answer: 22

Correct? Yes

πŸ”— Follow-up

Problem: After finishing the initial survey, the team of scientists received a special permit to investigate an additional stretch of the river 32 kilometers long that was previously off limits. In total, how many kilometers of the river were the scientists able to study?

InternLM-Math Base 20B:

  Reasoning: The scientists were able to study 22+32 = <<22+32=54>>54 kilometers of the river.
### Answer: 54

Expected answer: 54

Correct? Yes

πŸ”— Follow-up

Problem: Suppose instead that the inaccessible portion of the river that the scientists were unable to study was 26 kilometers, not 30. How many kilometers of the river would they have been able to study under these conditions?

InternLM-Math Base 20B:

  Reasoning: The scientists would have been able to study 33+19-26 = <<33+19-26=26>>26 kilometers of the river.
### Answer: 26

Expected answer: 26

Correct? Yes

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 20B:

 Reasoning: The first photographer took 34-19 = <<34-19=15>>15 shots at the wedding, 21 shots at the second event, and 23 shots at the third event. The second photographer took 880/40 = <<880/40=22>>22 shots. The total number of shots in their collections combined is 15+21+23+22 = <<15+21+23+22=81>>81.
### Answer: 81

Expected answer: 81

Correct? Yes

πŸ”— Follow-up

Problem: Recalling the photographers from the previous problems. Suppose the second photographer decided to select every 28th shot instead of every 40th shot for his collection from the large event where he took 880 shots. Now, what is the total number of shots in their collections combined after this modification?

InternLM-Math Base 20B:

  Reasoning: The first photographer took 15+21+23 = <<15+21+23=59>>59 shots. The second photographer took 880/28 = <<880/28=31.428571428571428571428571428571>>31 shots. The total number of shots in their collections combined is 59+31 = <<59+31=90>>90.
### Answer: 90

Expected answer: 633/7

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 20B:

 Reasoning: The pirate found 3*13 = <<3*13=39>>39 gold coins.
He spent 22 of these coins, so he has 39-22 = <<39-22=17>>17 gold coins.
He found another loot of 47 gold coins, so he has 17+47 = <<17+47=64>>64 gold coins.
### 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 20B:

  Reasoning: The pirate found 42*13 = <<42*13=546>>546 gold coins.
He spent 22 of these coins, so he has 546-22 = <<546-22=524>>524 gold coins.
He found another loot of 47 gold coins, so he has 524+47 = <<524+47=571>>571 gold coins.
### 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 20B:

 Reasoning: The hiker traveled 900/36 = <<900/36=25>>25 miles per day. If he increases his daily average to 16 miles, he will save 9 miles per day. This will reduce his remaining journey by 9*36 = <<9*36=324>>324 miles. The hiker will save 324/9 = <<324/9=36>>36 days. The hiker saves 4+40+21 = <<4+40+21=65>>65 days in total.
### Answer: 65

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 20B:

 Reasoning: The company produces 33 pillows every hour. In a day, they produced 33*24 = <<33*24=792>>792 pillows. They incurred a loss of 43 pillows. So, the total number of pillows the company manufactured in a day is 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 20B:

  Reasoning: The company produces 24 pillows every hour. In a day, they produced 24*24 = <<24*24=576>>576 pillows. They incurred a loss of 43 pillows. So, the total number of pillows the company manufactured in a day is 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 20B:

 Reasoning: 216/36 = <<216/36=6>>6 rooms in the other 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 20B:

  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 20B:

  Reasoning: 35+6 = <<35+6=41>>41 rooms in the castle.
### 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 20B:

 Reasoning: The player scored 15*31 = <<15*31=465>>465 goals in 31 matches.
43 goals were discounted, so the player scored 465-43 = <<465-43=422>>422 goals.
40 goals were awarded back to the player, so the player scored 422+40 = <<422+40=462>>462 goals.
26 goals were deducted from the player again, so the player scored 462-26 = <<462-26=436>>436 goals.
### Answer: 436

Expected answer: 436

Correct? Yes

πŸ”— Follow-up

Problem: The player from the previous question, with his total number of goals determined, got involved in a contest where the goal tally he had counted as points with a multiplier attached. If that multiplier was 1, how many points did he get in the contest?

InternLM-Math Base 20B:

  Reasoning: The player scored 436 goals.
The player got 436 points in the contest.
### Answer: 436

Expected answer: 436

Correct? Yes

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 20B:

 Reasoning: 49-5 = <<49-5=44>>44 fish are left in the tank. 9*49 = <<9*49=441>>441 fish are in the other tanks. 44+441 = <<44+441=485>>485 fish are in the aquarium.
### Answer: 485

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 20B:

 Reasoning: Jeremy has 14-19+32 = <<14-19+32=27>>27 cards now.
### Answer: 27

Expected answer: 27

Correct? Yes

πŸ”— Follow-up

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. In the next moved, Jeremy was fortunate enough to be given 7 more cards and found 12 more discarded cards on the table, which he added to his deck. How many cards does Jeremy have now?

InternLM-Math Base 20B:

  Reasoning: Jeremy has 14-19+32+7+12 = <<14-19+32+7+12=38>>38 cards now.
### Answer: 38

Expected answer: 46

Correct? No

πŸ”— Follow-up

Problem: In the card game, let's imagine that Jeremy initially had 14 cards, but this time he only discards 19 cards before gaining 13 more cards from the deck. How many cards does Jeremy have now?

InternLM-Math Base 20B:

  Reasoning: Jeremy has 14-19+13 = <<14-19+13=4>>4 cards now.
### Answer: 4

Expected answer: 8

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 20B:

 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. Adding 34 to the second clock's rate gives 9+34 = <<9+34=43>>43 ticks per minute. Multiplying the first clock's rate by 35 gives 12*35 = <<12*35=420>>420 ticks per minute. Subtracting 41 from the first clock's rate gives 420-41 = <<420-41=379>>379 ticks per minute. Subtracting the second clock's rate from the first clock's rate gives 379-43 = <<379-43=336>>336 ticks per minute.
### Answer: 336

Expected answer: 336

Correct? Yes

πŸ”— Follow-up

Problem: In the previous question about clocks, the second clock actually ticks 279 times in just 2 minutes, not 31 minutes. Re-calculate the rate of ticks per minute for this clock and add 34 to it. As before, calculate the tick rate for the first clock, then multiply it by 35 and subtract 41. Finally, subtract this modified rate of the second clock from the manipulated rate of the first clock. What is the new result?

InternLM-Math Base 20B:

  Reasoning: The second clock ticks 279/2 = <<279/2=139.5>>139.5 times per minute. Adding 34 to the second clock's rate gives 139.5+34 = <<139.5+34=173.5>>173.5 ticks per minute. Multiplying the first clock's rate by 35 gives 12*35 = <<12*35=420>>420 ticks per minute. Subtracting 41 from the first clock's rate gives 420-41 = <<420-41=379>>379 ticks per minute. Subtracting the second clock's rate from the first clock's rate gives 379-173.5 = <<379-173.5=205.5>>205.5 ticks per minute.
### Answer: 205.5

Expected answer: 411/2

Correct? Yes

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 20B:

 Reasoning: The rainfall on Thursday was 39-6-31 = <<39-6-31=-36>>-36 cm.
### Answer: -36

Expected answer: 2

Correct? No

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 20B:

 Reasoning: The enthusiast reported seeing 50-36 = <<50-36=14>>14 UFOs in the first month. In the second month, the enthusiast reported seeing 41+14+5 = <<41+14+5=60>>60 UFOs.
### 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 20B:

 Reasoning: The cat got 5+8 = <<5+8=13>>13 balls in the second game. She lost 25*(45-13) = <<25*(45-13)=800>>800 balls in the third game. She has 5+13-800 = <<5+13-800=-782>>-782 balls now.
### Answer: -782

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 20B:

 Reasoning: The number of balls in the basket is 41. The number of balls removed is 16. The number of balls added is 9+21 = <<9+21=30>>30. The total number of balls in the basket is 41-16+30 = <<41-16+30=55>>55.
### 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 20B:

  Reasoning: The number of balls in the basket is 41. The number of balls removed is 16. The number of balls added is 9+2 = <<9+2=11>>11. The total number of balls in the basket is 41-16+11 = <<41-16+11=36>>36.
### Answer: 36

Expected answer: 36

Correct? Yes

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 20B:

 Reasoning: The number of squares needed for hours is 37-32 = <<37-32=5>>5. The number of squares needed for minutes is 25. The number of squares needed for seconds is 28. The total number of squares needed is 5+25+28 = <<5+25+28=58>>58. The total number of squares needed is 58-23 = <<58-23=35>>35. The total number of squares needed is 35+5 = <<35+5=40>>40.
### Answer: 40

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 20B:

 Reasoning: The farm produced 28*2 = <<28*2=56>>56 pounds of oranges in a single day.
The farm produced 56*15 = <<56*15=840>>840 pounds of oranges in the harvest period.
The farm produced 840+16 = <<840+16=856>>856 pounds of oranges in total.
### Answer: 856

Expected answer: 856

Correct? Yes

πŸ”— Follow-up

Problem: Previously, the orange farm had been able to double its typical daily output of 28 pounds to increase its harvest yield. However, imagine what would have happened had the farm originally been producing a lesser daily output, such as 7 pounds. If they were still able to double this amount each day of the 15-day harvest period and added the same 16 pounds of the rare orange variant to their yield, how much would the farm have produced in that case?

InternLM-Math Base 20B:

  Reasoning: The farm produced 7*2 = <<7*2=14>>14 pounds of oranges in a single day.
The farm produced 14*15 = <<14*15=210>>210 pounds of oranges in the harvest period.
The farm produced 210+16 = <<210+16=226>>226 pounds of oranges in total.
### Answer: 226

Expected answer: 226

Correct? Yes

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 20B:

 Reasoning: The bus has 37+20-44 = <<37+20-44=3>>3 passengers now.
The bus company gets 3*11-14 = <<3*11-14=17>>$17.
### Answer: $17

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 20B:

 Reasoning: The pirate gave away 43/3 = <<43/3=14>>14 gems of each type.
The pirate had 13-14 = <<13-14=-1>>-1 emeralds, 42-14 = <<42-14=28>>28 rubies, and 19-14 = <<19-14=5>>5 sapphires left.
### Answer: -1, 28, 5

Expected answer: 31

Correct? No

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 20B:

 Reasoning: The number of ginger giraffes is 16.
The number of golden giraffes is 16.
The number of greyish giraffes is 46.
The total number of giraffes 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 20B:

  Reasoning: The number of ginger giraffes is 16.
The number of golden giraffes is 16.
The number of greyish giraffes is 46.
The total number of giraffes is 16+16+46 = 78.
The number of giraffes that left is 2.
The number of giraffes that are left 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 20B:

  Reasoning: The number of ginger giraffes is 42.
The number of golden giraffes is 42.
The number of greyish giraffes is 46.
The total number of giraffes 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 20B:

 Reasoning: 11+10 = <<11+10=21>>21, 21*16 = <<21*16=336>>336, 336-41 = <<336-41=295>>295.
The real distance it swam that week is 295 leagues.
### Answer: 295

Expected answer: 295

Correct? Yes

πŸ”— Follow-up

Problem: Continuing from the previous scenario, consider that the turtle realizes that it originally miscalculated the daily travel distance. Instead of swimming 11 leagues plus 10 a day, it actually swam 11 leagues plus 17 leagues a day. After multiplying that daily total by 16 for the week, and subtracting the over-calculated 41 leagues, how much did the turtle actually swim in the originally estimated week?

InternLM-Math Base 20B:

  Reasoning: 11+17 = <<11+17=28>>28, 28*16 = <<28*16=448>>448, 448-41 = <<448-41=407>>407.
The turtle actually swam 407 leagues in the originally estimated week.
### Answer: 407

Expected answer: 407

Correct? Yes