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?

Gemini-1.5 Pro:

Reasoning: 
First find the number of words per line: 162 words / 18 lines = <<162/18=9>> 9 words per line.
Now add the refrain to find the total number of words: 9 words/line + 34 words/line = <<9+34=43>>43 words per line.
### Answer: 43 

Expected answer: 43

Correct? Yes

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?

Gemini-1.5 Pro:

Here's how we can solve this problem step-by-step:

1. **Penguins on the second ice floe:** 598 penguins / 26 ice floes = <<598/26=23>>23 penguins per ice floe.
2. **Increase in penguins on the first ice floe:** 35 penguins + 49 penguins = <<35+49=84>>84 penguins.
3. **Estimated total on the first ice floe:** 84 penguins + 33 penguins = <<84+33=117>>117 penguins.
4. **Adjusted total on the first ice floe:** 117 penguins - 10 penguins = <<117-10=107>>107 penguins.
5. **Penguins at base camp:** 20 adult penguins + 14 chicks = <<20+14=34>>34 penguins.
6. **Total penguins counted:** 107 penguins + 23 penguins + 34 penguins = <<107+23+34=164>>164 penguins.

### Answer: 164 

Expected answer: 164

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The first jungle gym has 19 + 19 = <<19+19=38>>38 colored steps (blue and red).
Adding the green steps from the second jungle gym, we have a total of 38 + 34 = <<38+34=72>>72 colored steps. 
### Answer: 72 

Expected answer: 61

Correct? No

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?

Gemini-1.5 Pro:

Reasoning:
First, find the average rainfall per hour of a typical cloud: 775 millimeters / 31 hours = 25 millimeters/hour.

Next, subtract 22 from the average rainfall per hour of a typical cloud: 25 millimeters/hour - 22 millimeters/hour = 3 millimeters/hour

Then, multiply the previous result by 23: 3 millimeters/hour * 23 = 69 millimeters.

Next, add the constant cloud factor of 42 to the previous result: 69 millimeters + 42 millimeters = 111 millimeters.

Now, add the result to the hourly rainfall of the initial cloud: 111 millimeters + 47 millimeters/hour = 158 millimeters.

Finally, subtract 2 from the previous result to find the resultant millimeters of rainfall: 158 millimeters - 2 millimeters = 156 millimeters.

### Answer: 156 millimeters. 

Expected answer: 156

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Nadia practiced for a total of 35 + 35 = <<35+35=70>>70 minutes in the afternoon and evening.
That means that she practiced for 70 + 45 = <<70+45=115>>115 minutes that day.
### Answer: 115 minutes 

Expected answer: 115

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: First find the discount factor: 465 / 31 = <<465/31=15>>15.
Then multiply the original price by the discount factor to find the discount: $44 * 15 = <<44*15=660>>$660.
Finally, subtract the discount from the original price to find the sale price: $44 - $660 = <<44-660=-616>>-$616.
The result is negative, which means there's an error in the provided information. It's not possible for the discount to be greater than the original price. 
### Answer: There must be an error in the problem statement. 

Expected answer: 660

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: On Tuesday, the rope maker made 46+19 = <<46+19=65>>65 meters of rope. 
That means he made a total of 46+65 = <<46+65=111>>111 meters of rope on Monday and Tuesday.
After 9 meters were damaged, he had 111-9 = <<111-9=102>>102 meters of usable rope left. 
### Answer: 102 meters. 

Expected answer: 56

Correct? No

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?

Gemini-1.5 Pro:

Reasoning:
The earrings cost 16*2 = <<16*2=32>> $32.
In total, she spent 32+25+48 = <<32+25+48=105>> $105 on her gift.
### Answer: $105

Expected answer: 105

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Each friend gets 60 / 3 = <<60 / 3 = 20>> 20 beads at first.
After Emma adds more beads, each friend has 20 + 4 = <<20+4 = 24>> 24 beads.
### Answer: 24

Expected answer: 24

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
* After removing the unnecessary straws: 37 straws - 4 straws = <<37-4=33>>33 straws
* After removing straws to reduce bulk: 33 straws - 23 straws = <<33-23=10>>10 straws
* After multiplying the remaining straws: 10 straws * 45 = <<10*45=450>>450 straws
* After subtracting 49: 450 straws - 49 straws = <<450-49=401>>401 straws
* After taking out 7 more straws: 401 straws - 7 straws = <<401-7=394>>394 straws.

### Answer: 394

Expected answer: 394

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Each trip could see 2*3 = <<2*3=6>>6 animals.
That means there were 6*2 = <<6*2=12>>12 animals seen in total.
With 12*3 = <<12*3=36>>36 baby animals, there could be 36*21 = <<36*21=756>>756 photos taken.
After subtracting unusable photos, there were 756-34 = <<756-34=722>>722 usable photos.
Adding the additional photos taken, there would be a total of 722+30 = <<722+30=752>>752 usable photos. 
### Answer: 752

Expected answer: 248

Correct? No

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?

Gemini-1.5 Pro:

Reasoning:
After the mistake, they had 47 - 30 = <<47-30=17>>17 letters.
They then added 10 more letters, bringing the total to 17 + 10 = <<17+10=27>>27 letters.
Finally, after removing 3 letters, they had 27 - 3 = <<27-3=24>>24 letters.
### Answer: 24 

Expected answer: 24

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:  No matter how much Tommy slows down or speeds up, as long as he ends up traveling at his initial speed, then his average speed will be his initial speed.
### Answer: 74/37 miles per hour 

Expected answer: 1

Correct? No

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

Gemini-1.5 Pro:

Reasoning: Since Liam has 40 sets of building blocks, and each set contains 16 blocks, he has a total of 40 * 16 = <<40*16=640>>640 building blocks.
### Answer: 640

Expected answer: 640

Correct? Yes

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?

Gemini-1.5 Pro:

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

Expected answer: 31

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
The remaining snowfall days in City A is 50-36 = <<50-36=14>>14 days.
The average daily snowfall in City B is 98/14 = <<98/14=7>>7 inches.
The total snowfall in inches in City A is expected to be 14*7 = <<14*7=98>>98 inches.
The amount of snow left in City A after the snow removal is 98-7 = <<98-7=91>>91 inches.
### Answer: 91 inches. 

Expected answer: 91

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: On the second day, the pirate finds 28 + 21 = <<28+21=49>>49 rubies.
In total, the pirate has 28 + 49 = <<28+49=77>>77 rubies after the second day.
### Answer: 77 

Expected answer: 77

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The total snowfall in January and February was 47 + 7 + 17 = <<47+7+17=71>>71 inches.
That brings our total to 71 + 48 = <<71+48=119>>119 inches at the end of March.
In April, the total went up to 119 + 31 = <<119+31=150>>150 inches.
Then, since 27 inches melted, we had 150 - 27 = <<150-27=123>>123 inches left at the end of April.
### Answer: 123 inches 

Expected answer: 123

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The vendor sold 46*11 = <<46*11=506>>506 balloons during the 11 hours.
Adding the stragglers, he sold 506+31 = <<506+31=537>>537 balloons in total.
### Answer: 537 

Expected answer: 537

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
1. **Combined score in the second game:** Their combined score in the first game was 31 + 39 = <<31+39=70>>70 points.
   Their combined score in the second game was 70 + 35 = <<70+35=105>>105 points.

2. **Difference for multiplication:** The difference between 27 and the number of cards left is 27 - 23 = <<27-23=4>>4.

3. **Final score:** Their final score in the special round was 105 * 4 = <<105*4=420>>420 points. 

### Answer: 420

Expected answer: 420

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Total chairs produced in a day= (17+18+29)*2= 132
Total chairs left= 132-48-7= 77
### Answer: 77

Expected answer: 73

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The new jungle gym has 2 + 20 = <<2+20=22>>22 ziplines in total.
Installing these ziplines required 22 * 31 = <<22*31=682>>682 hooks.
The popular jungle gym has 46 + 18 = <<46+18=64>>64 play components.
Therefore, the new jungle gym used 682 - 64 = <<682-64=618>>618 more hooks. 
### Answer: 618

Expected answer: 618

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
* John saves $168/21 = <<168/21=8>>8 each day for 21 days.
* After receiving an additional $47 from his job, he will have a total of $47+$168 = <<47+168=215>>215
* He receives another amount, which is the sum of $12 and $45, which is $12+$45 = <<12+45=57>>57
* Adding that to what he had saved, his new total is $215+$57 = <<215+57=272>>272
### Answer: $272

Expected answer: 112

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The robot stacks a total of 32*4 = <<32*4=128>>128 boxes in 4 minutes.
Adding the extra box, the robot will have stacked 128+1 = <<128+1=129>>129 boxes.
### Answer: 129

Expected answer: 129

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The number of cubs that survived is 26-17 = <<26-17=9>>9
The number of tigers that remained in the female tiger's territory is 9-6 = <<9-6=3>>3
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
After the new penguins join, there are 44 + 39 = <<44+39=83>>83 penguins.
When some leave, there are 83 - 16 = <<83-16=67>>67 penguins remaining.
Finally, after the last group joins, the colony has 67 + 35 = <<67+35=102>>102 penguins.
### Answer: 102

Expected answer: 102

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The helicopter's speed increases by a total of 40+20 = <<40+20=60>>60 miles per minute.
The helicopter's new speed is 10+60 = <<10+60=70>>70 miles per minute. 
At this speed, in 12 minutes, the helicopter will travel 70*12 = <<70*12=840>>840 miles.
### Answer: 840 miles.

Expected answer: 840

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The new telescope requires 41-26 = <<41-26=15>>15 more magnification.
### Answer: 15

Expected answer: 15

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: On Monday, Sophie earned 2*18 = $<<2*18=36>>36.
She then had 36-4-4 = $<<36-4-4=28>>28 left.
Her pay for her next hour of work, including Monday's leftover amount, was 28+18 = $<<28+18=46>>46.
In total, she has 46+45 = $<<46+45=91>>91.
### Answer: $91

Expected answer: 91

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The company initially had 30 + 6 = <<30+6=36>>36 towels.
After giving away some towels, they had 36 - 7 = <<36-7=29>>29 towels left.
They produced more towels, bringing their total to 29 + 14 = <<29+14=43>>43 towels.
Their special batch consisted of 29 x 13 = <<29*13=377>>377 towels.
Their premium collection started with 377 - 19 = <<377-19=358>>358 towels.
They removed some damaged towels, leaving them with 358 - 20 = <<358-20=338>>338 towels in the premium collection.
They then had 338 - 3 = <<338-3=335>>335 towels left in the premium collection.
Finally, combining the remaining premium collection with the rest, they have 335 + 43 = <<335+43=378>>378 towels.
### Answer: 378

Expected answer: 378

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The zorbcraft currently has 50 energy crystals + 6 lumino-gems = <<50+6=56>>56 items in the compartment.
The extraterrestrial being will have 50 + 20 = <<50+20=70>>70 energy crystals after receiving more.
They'll then have 70 energy crystals + 6 lumino-gems = <<70+6=76>>76 items in the compartment. 
### Answer: 76

Expected answer: 126

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The park added 972 / 27 = <<972/27=36>>36 new types of dinosaurs.
The difference between the number of Velociraptors and new dinosaur types is 43 - 36 = <<43-36=7>>7.
The Velociraptors laid a total of 7 * 7 = <<7*7=49>>49 eggs that week.
### Answer: 49

Expected answer: 49

Correct? Yes

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

Gemini-1.5 Pro:

Reasoning: After Maria took oranges, there were 46-16 = <<46-16=30>>30 oranges left. 
### Answer: 30

Expected answer: 30

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: In 16 minutes, the factory produces 308*16/7 = <<308*16/7=704>>704 toothbrushes. 
### Answer: 704

Expected answer: 741

Correct? No

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.

Gemini-1.5 Pro:

Reasoning: 
The total number of telescopes added in the first six months: 7 + 17 + 12 + 18 + 39 + 19 = <<7+17+12+18+39+19=112>>112
Total telescopes at the end of the sixth month: 39 + 112 = <<39+112=151>>151
### Answer: 151

Expected answer: 151

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
* **Additional utensils:** 28 sets * 26 utensils/set = 728 utensils
* **Total utensils (before adjustments):** 20 forks + 23 knives + 728 utensils = 771 utensils
* **Total utensils (with extra and missing):** 771 utensils + 7 extra utensils - 46 missing utensils = 732 utensils
* **Final count (removing the original set):** 732 utensils - 20 forks - 23 knives = 689 utensils
### Answer: 689 

Expected answer: 646

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: After the storm, the unicorn has 36-25 = <<36-25=11>>11 blue roses left.
In total, the unicorn has 50+11 = <<50+11=61>>61 roses left. 
### Answer: 61

Expected answer: 61

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
The first warehouse receives 100 / 2 = <<100/2=50>>50 bottles.
Triple the amount sent to the first warehouse is 50 * 3 = <<50*3=150>>150 bottles.
With the additional bottles, the total marked for shipping was 150 + 29 = <<150+29=179>>179 bottles.
After adding the last batch, the final number of bottles shipped is 179 + 28 = <<179+28=207>>207 bottles. 
### Answer: 207 

Expected answer: 207

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
First, we need to calculate the height of the window frame: 925 / 37 = 25 inches, and 25 + 26 = 51 inches.
Next, we can calculate the width of the window: 51 + 11 = 62 inches.
Now we can calculate the circumference of the window: (2 * 62) + 51 = 175 inches.
Finally, we can calculate the size of the glass required for the window: 175 - 32 = 143 inches.
### Answer: 143 inches. 

Expected answer: 143

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Each pirate receives 135/9 = <<135/9=15>>15 gold coins.
Each pirate receives 323/19 = <<323/19=17>>17 emeralds.
The pirate incorrectly calculated the share as 15*17 = <<15*17=255>>255.
The correct share is 255-14 = <<255-14=241>>241.
### Answer: 241

Expected answer: 241

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
First find the weight of each piece from the 176g bar: 176 grams / 8 pieces = <<176/8=22>>22 grams/piece.
Then subtract the weight of one piece from the 176g bar: 176 grams - 22 grams = 154 grams.
Now, calculate the total weight of the second batch: 154 grams + 26 grams + 38 grams = 218 grams.
Then, calculate the total weight of the third batch: 38 grams + 18 grams = 56 grams.
Finally, find the difference in weight between the two batches: 218 grams - 56 grams = 162 grams. 
### Answer: 162 grams 

Expected answer: 14

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: 
Jenny has 38-9 = <<38-9=29>>29 green colored pencils.
She used her pencils a total of 9*29 = <<9*29=261>>261 times.
### Answer: 261

Expected answer: 261

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: A standard robot has 17*16=<<17*16=272>>272 connections.
The strangely built robot has 272-1=<<272-1=271>>271 connections after the connection was removed.
After adding 41 connections, the total number of connections became 271+41=<<271+41=312>>312.
### Answer: 312

Expected answer: 312

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: During busy hours, there are 24*31 = <<24*31=744>>744 kids on the jungle gym.
If we subtract the number of kids on a rainy day from the number of kids on a busy day, we get 744-6 = <<744-6=738>>738 kids.
Finally, after further subtracting the number of squirrels, we will have counted 738-12 = <<738-12=726>>726 kids in total. 
### Answer: 726

Expected answer: 726

Correct? Yes

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?

Gemini-1.5 Pro:

Let's break down the magical formula step-by-step:

1. **Subtract 5 from 23:** 23 - 5 = 18
2. **Multiply by the number of chants (6):** 18 * 6 = 108
3. **Multiply by 7:** 108 * 7 = 756
4. **Multiply by 1:** 756 * 1 = 756
5. **Subtract 48:** 756 - 48 = 708

### Answer: 708 

Expected answer: 708

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: In 24 hours, the child can make 24 * 15 = <<24*15=360>>360 cookies.
### Answer: 360

Expected answer: 360

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
* After creating more rings, the silversmith had 28 + 24 = <<28+24=52>>52 rings.
* After subtracting his original stock, he had 52 - 16 = <<52-16=36>>36 rings.
* After trading, he had 36 - 21 = <<36-21=15>>15 rings left.
* For the special order, he created 26 * 15 = <<26*15=390>>390 rings.
* In total from the special order and what he had left he had 390 + 15 = <<390+15=405>>405 rings.
* Adding the platinum and bronze rings, he has 405 + 7 + 47 = <<405+7+47=459>>459 rings in total. 

### Answer: 459

Expected answer: 444

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: 
* Each row has 40 / 2 = <<40/2=20>>20 properly grown flowers.
* There are 19 * 20 = <<19*20=380>>380 flowers in total in the rows.
* There are 18 + 48 = <<18+48=66>>66 bulbs in the corners.
* The difference is 380 - 66 = <<380-66=314>>314. 

### Answer: 314

Expected answer: 314

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
The bird laid 11*4 = <<11*4=44>>44 eggs this month.
There are 44+40 = <<44+40=84>>84 eggs in the forest this month.
### Answer: 84

Expected answer: 84

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: You start with 41 + 13 + 41 = <<41+13+41=95>>95 drops of paint.
After adding the sample, there are 95 + 34 = <<95+34=129>>129 drops.
When you remove the sample, there are 129 - 34 = <<129-34=95>>95 drops left.
### Answer: 95

Expected answer: 95

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
1. **Difference in cars:** 32 (Monday) - 27 (Tuesday) = 5 toy cars
2. **Weekly goal:** 5 (difference) * 49 = 245 toy cars
3. **Cars made by staff daily:** 12 (staff) * 9 (cars/staff) = 108 toy cars
4. **Total cars made by staff:** 108 (daily) + 45 = 153 toy cars
5. **Total cars including Friday:** 245 (goal) + 153 (staff) + 31 (Friday) = 429 toy cars 
### Answer: 429 

Expected answer: 429

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The farmer harvested 45 - 44 = <<45-44=1>>1 carrot over 44. 
Therefore, the farmer would have earned 1 * 29 = <<1*29=29>>29 dollars.
### Answer: 29 dollars. 

Expected answer: 29

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The worker had 26 - 50 = <<26-50 = -24>> -24 pairs of socks after discarding the torn ones.
Since the worker cannot have negative pairs of socks, this signifies he had 0 pairs left.
After producing more, he had 0 + 36 = <<0+36 = 36>> 36 pairs of socks.
He earned $37 x 36 = <<37*36 = 1332>> $1332 from selling the socks.
In total, the worker has $1332 + $13 = <<1332+13=1345>> $1345.
### Answer: $1345 

Expected answer: 457

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: 
First find the number of beads removed: 560 / 40 = <<560/40=14>>14 beads.
Then add the 15 beads the jewelry maker may have started with: 38 + 15 = <<38+15=53>>53 beads.
Then subtract the beads that were removed: 53 - 14 = <<53-14=39>>39 beads.
Then add the one bead: 39 + 1 = <<39+1=40>>40 beads.
Then add the 39 beads: 40 + 39 = <<40+39=79>>79 beads. 
### Answer: 79 

Expected answer: 79

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
- After 23 sharks are moved, there are 30 - 23 = <<30-23=7>>7 sharks left.
- After 14 sharks are brought in, there are 7 + 14 = <<7+14=21>>21 sharks.
- After 3 more sharks are moved, there are 21 - 3 = <<21-3=18>>18 sharks left.
- Multiplying the number of sharks by 43 for the study gives us 18 x 43 = <<18*43=774>>774.
### Answer: 774 

Expected answer: 774

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: You earned 150 / 10 = <<150/10=15>>15 gold coins per round.
So in the first two rounds you earned 15 x 2 = <<15*2=30>>30 gold coins.
After the third round you sacrificed 30 gold coins but the number of emeralds and sapphires remained unchanged because they are independent of the number of gold coins.
Therefore, after the third round, you had 28 emeralds and 14 sapphires. 
### Answer: 28 emeralds and 14 sapphires. 

Expected answer: 12

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: 
* On Friday, the train carries 15 + 12 = <<15+12=27>>27 containers.
* On Monday, the train carries 27 + 26 = <<27+26=53>>53 containers.
* On Wednesday, the train carries 53 - 32 = <<53-32=21>>21 containers.
* After coupling, the train carries 21 + 2 = <<21+2=23>>23 containers.
* After the stop, the train carries 23 + 48 = <<23+48=71>>71 containers.
### Answer: 71

Expected answer: 71

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The farmer had a total of 39 + 33 = <<39+33=72>>72 lemons.
After the lemons spoiled, he had 72 - 12 = <<72-12=60>>60 lemons left.
After making lemonade, he had 60 - 23 = <<60-23=37>>37 lemons left.
### Answer: 37

Expected answer: 37

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The bee collects 33*15 = <<33*15=495>>495 nectar droplets from the flowers.
Adding the nectar droplets the bee started with, it has 495+26 = <<495+26=521>>521 nectar droplets. 
### Answer: 521

Expected answer: 521

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: They add 350 marshmallows / 7 hours = <<350/7=50>>50 marshmallows to each hour of production.
This translates to 50 marshmallows / 12 marshmallows per pack = <<50/12=4.166666666666667>>4.17 extra packs per hour. 
Their intended increase in production per hour is 4.17 packs + 6 packs = <<4.17+6=10.17>>10.17 packs.
However, due to limitations, their actual increase is 10.17 packs - 4.13 packs = <<10.17-4.13=6.04>>6.04 packs per hour.
Therefore, they are now producing 36 packs + 6.04 packs = <<36+6.04=42.04>>42.04 packs per hour.
### Answer: 42.04 

Expected answer: 49

Correct? No

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?

Gemini-1.5 Pro:

Here's how we can solve this problem step-by-step:

**Step 1: Calculate the first wizard's daily average**

The first wizard produces 882 lights / 21 days = <<882/21=42>> 42 lights per day.

**Step 2: Calculate the second wizard's daily average**

The second wizard produces 460 orbs / 20 days = <<460/20=23>> 23 orbs per day.

**Step 3:  Calculate the difference in daily averages**

The difference in their daily averages is 42 - 23 = <<42-23=19>> 19.

**Step 4: Calculate the magical constant 'n'**

The magical constant 'n' is the difference in their daily averages (19) times the second wizard's daily average (23), so n = 19 * 23 = <<19*23=437>> 437.

### Answer: 437 

Expected answer: 437

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
* **Special Mix Base:** The Special Mix starts with 14 (Sugar Rush) + 25 (Candy Twirl) + 16 (Jawbreaker) = 55 base ingredients.
* **Complete Special Mix:** Adding the extra goodies, the Special Mix totals 55 + 43 = 98 components.
* **Enhanced Mix:**  Adding the unique sweets brings the total to 98 + 7 = 105 components.
* **Near Final Count:** Including one of each of the other flavors means adding 20 - 19 = 1 more component, for a total of 105 + 1 = 106 components.
* **Final Adjustment:**  Removing the experimental sweets leaves a final count of 106 - 3 = 103 components.

### Answer: 103 

Expected answer: 103

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
* **Downtown district after transfer:** 29 officers - 21 officers = 8 officers
* **Total after the first reinforcement:** 32 officers + 33 officers + 8 officers + 39 officers = 112 officers
* **Total at the end of the day:** 112 officers + 14 officers = 126 officers
### Answer: 126 officers 

Expected answer: 126

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The distance decreased by 19 million kilometers and then increased by 11 million kilometers, so the current distance is 36 - 19 + 11 = 28 million kilometers.
Therefore, the value is 28 * 19 - 27 = 532 - 27 = 485. 
### Answer: 485

Expected answer: 505

Correct? No

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?

Gemini-1.5 Pro:

Reasoning:
The first tiger covered 9*2 = <<9*2=18>>18 meters with two steps.
So, the first tiger covered 18+44 = <<18+44=62>>62 meters in total.
The second tiger retraced 62 meters, leaving it at 23+46-62 = <<23+46-62=7>>7 meters. 
### Answer: 7 meters. 

Expected answer: 7

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
Let's break down the problem step-by-step:

* **Sunday's production:** (26 tubes/hour * 7 hours) + 8 tubes = 182 + 8 = 190 tubes
* **Monday's production:** 190 tubes + 31 tubes = 221 tubes
* **Remaining boxes after giving some away:** 50 boxes - 19 boxes = 31 boxes
* **Total tubes until Monday (including packaged ones):** 221 tubes + 31 tubes = 252 tubes
* **Total tubes until Tuesday:** 252 tubes + 48 tubes = 300 tubes

### Answer: 300 

Expected answer: 300

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
First find the total number of rainbow pebbles: 42 + 26 + 33 = <<42+26+33=101>>101
Then add the initial number of dreamberries to find the total number of dreamberries and pebbles: 101 + 44 = <<101+44=145>>145
Then add the number of magical dandelions found: 145 + 40 = <<145+40=185>>185
Then subtract the number of magical dandelions lost to find the total number of items: 185 - 14 = <<185-14=171>>171
### Answer: 171

Expected answer: 171

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
The treasure chest initially has 23*28 = <<23*28=644>>644 jewels.
After losing some, he has 644-40 = <<644-40=604>>604 jewels left.
After finding more, he now has 604+16 = <<604+16=620>>620 jewels.
### Answer: 620

Expected answer: 620

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
First find the total number of neutrons after the increase: 38 + 4 = <<38+4=42>>42 neutrons.
Then, multiply that number by 18 to find the energy output after the multiplication: 42 * 18 = <<42*18=756>>756 energy units.
Then, add 6 and 25 to find the energy released during the explosion: 6 + 25 = <<6+25=31>>31 energy units.
Finally, sum the two amounts of energy to find the total energy emitted by the star: 756 + 31 = <<756+31=787>>787 energy units. 
### Answer: 787 energy units. 

Expected answer: 787

Correct? Yes

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?

Gemini-1.5 Pro:

Here's how to break down this word problem step-by-step:

* **Step 1: Calculate the additional sunflowers needed**
   - 37 times the number of petals: 37 * 5 = 185
   - Subtract 18: 185 - 18 = 167 sunflowers

* **Step 2: Calculate the total sunflowers after subtracting 10**
   - 167 sunflowers - 10 sunflowers = 157 sunflowers

* **Step 3: Calculate the total sunflowers after adding the initial amount**
   - 157 sunflowers + 13 sunflowers = 170 sunflowers

* **Step 4: Calculate the number of spots needed for the orchids**
   - 92 orchids / 23 orchids per spot = 4 spots

* **Step 5: Calculate the total number of plants and spots**
   - 170 sunflowers + 4 spots = 174

* **Step 6: Double the total**
   - 174 * 2 = 348

### Answer: 348 

Expected answer: 348

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: In total, the frogs catch 18*21 = <<18*21=378>>378 flies in a day. 
### Answer: 378

Expected answer: 378

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: We must find the sum of the chairs originally in the room and the chairs brought in from the storage room, 21 + 22 = 43
### Answer: 43 

Expected answer: 43

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The park has a total of 14 + 11 = <<14+11=25>>25 elephants after the babies were born.
Adding the rescued elephants, the park now has 25 + 25 = <<25+25=50>>50 elephants. 
### Answer: 50

Expected answer: 50

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
Let's break down the problem step-by-step:

**Step 1: Calculate the number of real stones in the first chest.**

* Total stones: 23 emeralds + 30 diamonds = 53 stones
* Real stones: 53 stones - 39 fake stones = 14 stones (y = 14)

**Step 2: Calculate the value (g) of the first chest.**

* y * y - 37 = g 
* 14 * 14 - 37 = g
* 196 - 37 = g
* g = 159

**Step 3: Calculate the number of rubies (x) each pirate receives.**

* Rubies per pirate: 540 rubies / 45 pirates = 12 rubies/pirate

**Step 4:  Calculate the total number of rubies left after the division (x).**

* Total rubies left: (12 rubies/pirate * 45 pirates) - 3 rubies = 537 rubies (x = 537)

**Step 5: Calculate the new value after subtracting the remaining rubies.**

* New value: g - x = 159 - 537 = -378

**Step 6: Calculate the count (s) of pearls and zirconias left.**

* Total pearls and zirconias: 23 pearls + 11 zirconias = 34 pieces
* Remaining pieces: 34 pieces - 9 damaged pieces = 25 pieces (s = 25)

**Step 7: Calculate the final value (m) of the remaining treasure.**

* Final value (m): -378 - 25 = -403

### Answer: -403 

Expected answer: 125

Correct? No

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?

Gemini-1.5 Pro:

Reasoning:
First, find the daily average increase: 504 sightings / 14 days = <<504/14=36>>36 sightings/day
Then, subtract the initial sightings from the daily average: 36 sightings/day - 6 sightings = <<36-6=30>>30 sightings/day
Next, calculate the difference between maximum and dismissed sightings: 9 sightings - 3 sightings = <<9-3=6>>6 sightings 
Finally, multiply this difference by the adjusted daily average: 6 sightings * 30 sightings/day = <<6*30=180>>180 sightings
### Answer: 180

Expected answer: 180

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The blanket maker needs 26*25 = <<26*25=650>>650 square patches of red material.
After subtracting the blue patches, she'll need 650-5 = <<650-5=645>>645 red patches for her design.
She has 48*21 = <<48*21=1008>>1008 square patches of green material.
The difference between her green and red patches is 1008-645 = <<1008-645=363>>363 patches. 
### Answer: 363

Expected answer: 363

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
* Total baskets from all locations: 38 + 24 + 16 + 13 = <<38+24+16+13=91>>91 baskets
* Remaining baskets after using some for lemonade: 91 - 35 = <<91-35=56>>56 baskets
* Total bottles of lemonade from the remaining baskets: 56 x 14 = <<56*14=784>>784 bottles 

### Answer: 784 bottles

Expected answer: 784

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Amy had 21-15 = <<21-15=6>>6 seashells left after giving some to her sister.
The next day, she found 6+13 = <<6+13=19>>19 seashells.
In total, she had 19+49 = <<19+49=68>>68 seashells.
She gave away a total of 23+27 = <<23+27=50>>50 seashells to her siblings.
Amy has 68-50 = <<68-50=18>>18 seashells left. 
### Answer: 18

Expected answer: 18

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
In the first round, Princess Anna added 7 and 10: 7+10 = <<7+10=17>>17.
In the second round, she subtracted 17 from 29: 29-17 = <<29-17=12>>12, and then subtracted 8: 12-8 = <<12-8=4>>4.
In the final round, she added the results of the first two rounds: 17+4 = <<17+4=21>>21, and then multiplied the sum by the result of the second round: 21*4 = <<21*4=84>>84.
### Answer: 84

Expected answer: 84

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: After giving Ellen money, Sam had 15 dollars.
After his brother gave him money, Sam had 15+24 = <<15+24=39>>39 dollars. 
### Answer: 39 dollars.

Expected answer: 57

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The total length of the river and tributary was 33 km + 19 km = <<33+19=52>>52 kilometers.
Since 30 kilometers were inaccessible, they could study 52 km - 30 km = <<52-30=22>>22 kilometers. 
### Answer: 22 kilometers

Expected answer: 22

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The first photographer had 34-19 = <<34-19=15>>15 shots left after removing the blurry ones.
His total after the second event is 15+21 = <<15+21=36>>36 shots. 
His final collection has 36+23 = <<36+23=59>>59 photos.
The second photographer has 880/40 = <<880/40=22>>22 photos in his collection. 
Together, they have 59+22 = <<59+22=81>>81 photos.
### Answer: 81

Expected answer: 81

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The treasure chest had 3*13 = <<3*13=39>>39 gold coins.
After finding the treasure chest, the pirate had 39+13 = <<39+13=52>>52 gold coins.
After buying rum, he had 52-22 = <<52-22=30>>30 gold coins left.
After discovering another loot, the pirate has 30+47 = <<30+47=77>>77 gold coins now.
### Answer: 77

Expected answer: 64

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The hiker saved 16 + 4 + 40 + 21 = <<16+4+40+21=81>>81 days on his journey due to various factors. 
### Answer: 81 days 

Expected answer: 74

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The company manufactures 33 * 24 = <<33*24=792>>792 pillows in a day.
After accounting for losses, they manufactured 792 - 43 = <<792-43=749>>749 pillows. 
### Answer: 749

Expected answer: 749

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
The other wing has 216 bricks, and since 1 room is equivalent to 36 bricks, this wing has 216 / 36 = <<216/36=6>>6 rooms.
Therefore, both wings have a total of 5 + 6 = <<5+6=11>>11 rooms.
### Answer: 11

Expected answer: 11

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:
First find the total number of goals scored: 31 matches * 15 goals/match = <<31*15=465>>465 goals
Then subtract the goals lost initially: 465 goals - 43 goals = <<465-43=422>>422 goals
Then add the goals awarded back: 422 goals + 40 goals = <<422+40=462>>462 goals
Finally, subtract the goals deducted after reevaluation: 462 goals - 26 goals = <<462-26=436>>436 goals
### Answer: 436

Expected answer: 436

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: There are 9 * 49 = <<9*49=441>>441 fish in total.
After relocating 5 fish, there are 441 - 5 = <<441-5=436>>436 fish left.
### Answer: 436 

Expected answer: 436

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: It is not possible for Jeremy to discard 19 cards when he only has 14. This problem does not make sense.
### Answer: This problem cannot be solved as it is written. 

Expected answer: 27

Correct? No

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?

Gemini-1.5 Pro:

Here's how to solve this problem step-by-step:

**Step 1: Calculate the rate of the first clock.**

* The first clock ticks 504 times in 42 minutes, so it ticks at a rate of 504/42 = <<504/42=12>>12 ticks per minute.

**Step 2: Calculate the rate of the second clock.**

* The second clock ticks 279 times in 31 minutes, so it ticks at a rate of 279/31 = <<279/31=9>>9 ticks per minute.

**Step 3: Add 34 to the rate of the second clock.**

* Adding 34 to the second clock's rate gives us 9 + 34 = <<9+34=43>>43 ticks per minute.

**Step 4: Multiply the first clock's rate by 35.**

* Multiplying the first clock's rate by 35 gives us 12 * 35 = <<12*35=420>>420.

**Step 5: Subtract 41 from the result in Step 4.**

* Subtracting 41 from the result in Step 4 gives us 420 - 41 = <<420-41=379>>379.

**Step 6: Subtract the adjusted rate of the second clock from the result in Step 5.**

* Subtracting the adjusted rate of the second clock (43 ticks per minute) from the result in Step 5 gives us 379 - 43 = <<379-43=336>>336.

### Answer: 336. 

Expected answer: 336

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The rainfall on Wednesday was 39 cm - 6 cm = <<39-6=33>>33 cm.
The rainfall on Thursday was 33 cm - 31 cm = <<33-31=2>>2 cm.
### Answer: 2 cm. 

Expected answer: 2

Correct? Yes

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?

Gemini-1.5 Pro:

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

Expected answer: 60

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
The cat got 5 * 5 = <<5*5=25>>25 yarn balls in her second game, since 5 squared is 25.
That means she got 25 + 8 = <<25+8=33>>33 yarn balls in her second game.
The difference between 45 yarn balls and the yarn balls she got on her second game is 45 - 33 = <<45-33=12>>12 yarn balls.
Finally, the cat has 25 * 12 = <<25*12=300>>300 yarn balls left. 
### Answer: 300

Expected answer: 300

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Initially, there are 41 balls - 16 balls = <<41-16=25>>25 cricket balls in the basket.
After removing the 16 balls, there are 25 cricket balls left.
The total number of balls after adding ping pong balls and basketballs is 25+9+21 = <<25+9+21=55>>55 balls.
### Answer: 55

Expected answer: 55

Correct? Yes

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?

Gemini-1.5 Pro:

Let's break down your friend's calculations step-by-step:

**Step 1: Calculating remaining squares for hours**

* They started with 37 squares for hours and completed 32, leaving 37 - 32 = 5 squares.
* Their subsequent calculations (5 + 42 - 37) don't change this result. 
* They need 5 more squares to represent the hours.

**Step 2: Adding squares for minutes and seconds**

* They want to add 25 squares for minutes and 28 for seconds. 
* This totals 25 + 28 = 53 squares.

**Step 3: Adjusting the total**

* They added 41 and 28 to the 25 squares for minutes, totaling 25 + 41 + 28 = 94.
* Then they added 17 more, resulting in 94 + 17 = 111 squares. 
* Due to material constraints, they reduced this number by 23: 111 - 23 = 88 squares.

**Step 4: Final calculation**

* They need to add the squares for hours (5) to the adjusted total (88): 88 + 5 = 93 squares.

### Answer: 93 

Expected answer: 98

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The farm produced 2 * 28 = <<2*28=56>>56 pounds of oranges in a single day with the new method. 
Over 15 days, this amounts to 56 * 15 = <<56*15=840>>840 pounds of oranges.
Adding the rare orange variant, the farm produced a total of 840 + 16 = <<840+16=856>>856 pounds of oranges. 
### Answer: 856 pounds 

Expected answer: 856

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 
* After 20 more passengers got on, there were 37+20 = <<37+20=57>>57 passengers.
* Since 44 passengers got off, there were 57-44 = <<57-44=13>>13 passengers remaining.
* These 13 passengers each paid $11, for a total of $11*13 = <<11*13=143>>$143.
* After deducting the $14 service fee, the bus company earned $143-$14 = <<143-14=129>>$129.
### Answer: $129 

Expected answer: 129

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The pirate had a total of 13 + 42 + 19 = <<13+42+19=74>>74 gems.
After giving some away, he had 74 - 43 = <<74-43=31>>31 gems left. 
### Answer: 31 

Expected answer: 31

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The reserve brought in 16 golden giraffes to match the 16 ginger giraffes they already had.
Adding the initial 16 (ginger) + 16 (golden) + 46 (greyish) = <<16+16+46=78>>78 giraffes in total. 
### Answer: 78 

Expected answer: 78

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The turtle thought it swam 11 + 10 = <<11+10=21>>21 leagues in a day.
That would be 21 * 16 = <<21*16=336>>336 leagues in a week.
Its real distance is 336 - 41 = <<336-41=295>>295 leagues.
### Answer: 295 leagues 

Expected answer: 295

Correct? Yes