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The dataset generation failed
Error code: DatasetGenerationError
Exception: CastError
Message: Couldn't cast
id: int64
instance: int64
verdict: string
reasoning: string
added_clause: string
original_id: int64
why_irrelevant: string
gold_answer: double
question: string
answer: string
original_question: string
to
{'id': Value('int64'), 'instance': Value('int64'), 'original_question': Value('string'), 'question': Value('string'), 'answer': Value('string'), 'gold_answer': Value('float64'), 'added_clause': Value('string'), 'why_irrelevant': Value('string'), 'original_id': Value('int64')}
because column names don't match
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1779, in _prepare_split_single
for key, table in generator:
^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/json/json.py", line 299, in _generate_tables
self._cast_table(pa_table, json_field_paths=json_field_paths),
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/json/json.py", line 128, in _cast_table
pa_table = table_cast(pa_table, self.info.features.arrow_schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2321, in table_cast
return cast_table_to_schema(table, schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2249, in cast_table_to_schema
raise CastError(
datasets.table.CastError: Couldn't cast
id: int64
instance: int64
verdict: string
reasoning: string
added_clause: string
original_id: int64
why_irrelevant: string
gold_answer: double
question: string
answer: string
original_question: string
to
{'id': Value('int64'), 'instance': Value('int64'), 'original_question': Value('string'), 'question': Value('string'), 'answer': Value('string'), 'gold_answer': Value('float64'), 'added_clause': Value('string'), 'why_irrelevant': Value('string'), 'original_id': Value('int64')}
because column names don't match
The above exception was the direct cause of the following exception:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1347, in compute_config_parquet_and_info_response
parquet_operations = convert_to_parquet(builder)
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 980, in convert_to_parquet
builder.download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 882, in download_and_prepare
self._download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 943, in _download_and_prepare
self._prepare_split(split_generator, **prepare_split_kwargs)
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1646, in _prepare_split
for job_id, done, content in self._prepare_split_single(
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1832, in _prepare_split_single
raise DatasetGenerationError("An error occurred while generating the dataset") from e
datasets.exceptions.DatasetGenerationError: An error occurred while generating the datasetNeed help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
id int64 | instance int64 | original_question string | question string | answer string | gold_answer float64 | added_clause string | why_irrelevant string | original_id int64 |
|---|---|---|---|---|---|---|---|---|
61 | 0 | Mohammed has a bag of pebbles with 62 inside. He tripped over root while carrying it and dropped 2/4 of them. He scrambled to search for them but only came up with 18. When he went back home, he inspected the pebbles further. Five of them he picked up weren't pebbles, but actually beads so he got rid of it. How many pe... | Mohammed has a bag of pebbles with 62 inside. He tripped over a root while carrying it and dropped 2/4 of them. He scrambled to search for them but only came up with 18. When he went back home, he inspected the pebbles further. Five of them he picked up weren't pebbles, but actually beads so he got rid of them. He also... | Mohammed dropped his pebbles and was left with 62*1/2=31 pebbles.
He searched and found some of his lost pebbles, getting him back to 31+18=49 pebbles.
He went home and removed beads, leaving him with 49-5=44 pebbles.
#### 44 | 44 | He also noticed that 12 of his remaining pebbles were noticeably heavier than the rest, likely a different type of stone. | The question asks how many pebbles Mohammed ended up with. Being a different type of stone that is heavier doesn't make them not pebbles — they are still pebbles, just heavier ones. A solver might be tempted to subtract 12 thinking 'different type of stone' means they aren't pebbles, but the text only says they were he... | 1,247 |
94 | 3 | 312 people apply for a job at Apple. Of the people that apply, only 50% receive interviews. Of those who receive interviews, 50% receive a job offer. Of those who receive a job offer, five-sixths of the people accept the position. How many people accept the position? | 312 people apply for a job at Apple. Of the people that apply, only 50% receive interviews. Of those who receive interviews, 50% receive a job offer. Of those who receive a job offer, five-sixths of the people accept the position. How many people accept the position, given that 15% of those who accept later leave the c... | The number of people that receive interviews is 312 * 0.5 = 156 people
The number of people that receive a job offer is 156 * 0.5 = 78 people
The number of people that accept the position is 78 * 5/6 = 65 people
#### 65 | 65 | given that 15% of those who accept later leave the company within six months | The question asks how many people ACCEPT the position, not how many remain employed. People leaving after accepting doesn't change the number who accepted. | 718 |
65 | 6 | Priya is trying to decide whether to do her business accounting herself or hire one bookkeeper. If she does it herself, she'll be able to do 6 fewer hours of contract work, losing $46/hour in missed income. The bookkeeper charges $109. How much more money will she have if she hires the bookkeeper? | Priya is trying to decide whether to do her business accounting herself or hire one bookkeeper. If she does it herself, she'll be able to do 6 fewer hours of contract work, losing $46/hour in missed income. The bookkeeper charges $109, though last year the same service would have cost her only $89. How much more money ... | First find the total lost revenue if Priya does her business accounting herself: $46/hour * 6 hours = $276
Then subtract the bookkeeper's charge to find how much money Priya saves: $276 - $109 = $167
#### 167 | 167 | though last year the same service would have cost her only $89 | The question asks how much more money she will have if she hires the bookkeeper NOW. The current bookkeeper rate is $109, which is what she would actually pay. What the service cost last year is irrelevant to the current decision. The calculation remains: (6 × $46) - $109 = $276 - $109 = $167. | 164 |
4 | 6 | Thiago is popping popcorn for a snack. As the pan of kernels heats up, the kernels start popping faster. 40 pop in the first 14 seconds of cooking, then 4 times that amount in the next 14 seconds. The kernels increase to 5 times the initial popping rate in the next 14 seconds, but in the final 14 seconds, the popping s... | Thiago is popping popcorn for a snack. As the pan of kernels heats up, the kernels start popping faster. 40 pop in the first 14 seconds of cooking, then 4 times that amount in the next 14 seconds. The kernels increase to 5 times the initial popping rate in the next 14 seconds, but in the final 14 seconds, the popping s... | In the second k_3 seconds of cooking, 4* 40 = 160 kernels pop.
In the third k_3 seconds, 5 * 40 = 200 kernels pop.
In the final k_3 seconds, 200 / 2 = 100 kernels pop.
After cooking, the residual heat makes 100 / 4 = 25 kernels pop.
Thus, Thiago has 40 + 160 + 200 + 100 + 25 = 525 pieces of popcorn to eat.
#### 525 | 525 | Of all the kernels that popped, roughly 8% didn't fully expand and remained as partially popped half-kernels. | The question asks how many pieces of popcorn Thiago has to eat. Partially popped kernels are still popped kernels — they still count as pieces of popcorn. The clause tempts the solver to subtract 8% of the total, but whether a kernel fully expanded or only partially popped doesn't change the count of popped kernels. Th... | 1,264 |
60 | 9 | Andre works a 12-hour shift each day, 6 days a week. He earns €13 per hour and gets a €132 bonus each week if the company performs well. How much money did Andre make in October if the company performed very well for the whole month? | Andre works a 12-hour shift each day, 6 days a week. He earns €13 per hour, having received a raise from €11 per hour back in September. He also gets a €132 bonus each week if the company performs well. How much money did Andre make in October if the company performed very well for the whole month? | In a day, Andre makes 12 * 13 = €156
If he works 6 days a week, the total number of days for the whole month is 6 * 4= 24 days.
Since he makes €156 per day, the total amount for the whole month is 24 * 156= €3744.
He also got a 132 * 4 = €528 bonus because the company performed well in all the weeks of October.
At the ... | 4,272 | having received a raise from €11 per hour back in September | The raise happened in September, so throughout all of October Andre's rate is €13 per hour. The previous rate of €11 is irrelevant since the question asks about October earnings only. However, it tempts solvers to somehow blend or average the two rates, or to second-guess which rate applies. | 304 |
10 | 7 | To make a call from a phone booth, you must pay ₣0.6 for each minute of your call. After 30 minutes, that price drops to ₣0.5 per minute. How much would a 78-minute call cost? | To make a call from a phone booth, you must pay ₣0.6 for each minute of your call. After 30 minutes, that price drops to ₣0.5 per minute. If you had placed the same call on a weekend, the initial per-minute rate would have been 15% cheaper. How much would a 78-minute call cost on a weekday? | First 30 minutes would be a cost of 30 * 0.6 = ₣18.
After that, there are 78 - 30 = 48 minutes of the call left.
And these 48 minutes cost 48 * 0.5 = ₣24.
So in total, the 78-minute call would cost 18 + 24 = ₣42.
#### 42 | 42 | If you had placed the same call on a weekend, the initial per-minute rate would have been 15% cheaper. | The question explicitly asks about the cost of a weekday call. The weekend discount is a hypothetical alternative scenario that does not apply. The calculation remains: 30 × ₣0.6 + 48 × ₣0.5 = ₣18 + ₣24 = ₣42. | 1,223 |
78 | 2 | There are 8 periods in the day for a normal student but Tariq has to take 2 extra classes. Each class is 45 minutes long. He goes to class for 6 days a week. He then spends one-sixth of his weekly minutes each on Saturday and Sunday as extra learning time. How many hours a week does he spend learning? | There are 8 periods in the day for a normal student but Tariq has to take 2 extra classes. Each class is 45 minutes long. He goes to class for 6 days a week. He then spends one-sixth of his weekly minutes each on Saturday and Sunday as extra learning time. However, on Sundays, he covers the material twice as fast since... | He takes 8+2=10 classes a day
That means he spends 45*10=450 minutes per day in class
So he spends 450*6=2700 minutes a week
That means he spends 2700*1/6=450 minutes each on Saturday and Sunday.
So he spends 2700+450+450=3600 minutes per week
So he spends 3600/60=60 hours per week
#### 60 | 60 | However, on Sundays, he covers the material twice as fast since he is reviewing what he already studied on Saturday. | The question asks how many hours he spends learning, which is a measure of TIME spent, not the amount of material covered. Covering material faster doesn't change the fact that he still spends one-sixth of his weekly minutes on Sunday as extra learning time. The time spent is explicitly defined; his efficiency or speed... | 1,088 |
43 | 7 | Esteban went to their allotment to pick some raspberries and found nine times as many wasps as grasshoppers in the patch. If there were 185 grasshoppers, calculate the total number of insects in the patch. | Esteban went to their allotment to pick some raspberries and found nine times as many wasps as grasshoppers in the patch. If there were 185 grasshoppers, but 12 of the grasshoppers hopped away before Esteban finished counting, calculate the total number of insects in the patch. | If there were 185 grasshoppers, the total number of wasps in the patch is 9 * 185 grasshoppers = 1665 wasps
The total number of insects in the patch is 1665 wasps + 185 grasshoppers = 1850 insects
#### 1850 | 1,850 | but 12 of the grasshoppers hopped away before Esteban finished counting | The question states there WERE 185 grasshoppers in the patch and asks for the total number of insects in the patch. The fact that some hopped away before Esteban finished counting doesn't change how many were actually there — 185 is presented as the established count. The ratio (9×) was also based on what was in the pa... | 232 |
89 | 0 | Kai hires a luxury car from 1 PM to 5 PM. He gets 2 hours free. The first paid hour is $10 and each hour after that is twice the cost. How much did he pay? | Kai hires a luxury car from 1 PM to 5 PM. He gets 2 hours free. The first paid hour is $10 and each hour after that is twice the cost. How much did he pay, given that the rental company charges a 15% surcharge for bookings after 6 PM? | He got it for 5-1=4 hours
He pays for 4-2=2 hours
The first hour cost 1*10=$10
The other 2-1=1 hours are more expensive
They cost 10*2=$20 per hour
So those 1 hours cost 1*20=$20
So he pays 20+10=$30
#### 30 | 30 | given that the rental company charges a 15% surcharge for bookings after 6 PM | Kai's rental is from 1 PM to 5 PM, which ends before 6 PM. The surcharge for bookings after 6 PM does not apply to his rental period, so the answer remains unchanged: 4 hours total - 2 free = 2 paid hours. First paid hour = $10, second paid hour = $20. Total = $30. | 652 |
4 | 7 | Viktor is popping popcorn for a snack. As the skillet of kernels heats up, the kernels start popping faster. 40 pop in the first 20 seconds of cooking, then 2 times that amount in the next 20 seconds. The kernels increase to 3 times the initial popping rate in the next 20 seconds, but in the final 20 seconds, the poppi... | Viktor is popping popcorn for a snack. As the skillet of kernels heats up, the kernels start popping faster. 40 pop in the first 20 seconds of cooking, then 2 times that amount in the next 20 seconds. The kernels increase to 3 times the initial popping rate in the next 20 seconds, but in the final 20 seconds, the poppi... | In the second k_3 seconds of cooking, 2* 40 = 80 kernels pop.
In the third k_3 seconds, 3 * 40 = 120 kernels pop.
In the final k_3 seconds, 120 / 2 = 60 kernels pop.
After cooking, the residual heat makes 60 / 4 = 15 kernels pop.
Thus, Viktor has 40 + 80 + 120 + 60 + 15 = 315 pieces of popcorn to eat.
#### 315 | 315 | Of all the kernels Viktor started with, 8% never popped at all and remained as unpopped kernels at the bottom of the skillet. | The question asks how many pieces of POPCORN Viktor has to eat — meaning the kernels that successfully popped. The problem already tracks exactly how many kernels pop during each time interval and from residual heat, giving us the total popped count directly (315). The unpopped kernels are a separate group that never b... | 1,264 |
9 | 2 | When Emma watches her cousin, she gets out a variety of toys for him. The bag of building blocks has 74 blocks in it. The bin of stuffed animals has 37 stuffed animals inside. The tower of stacking rings has 30 multicolored rings on it. Emma recently bought a tube of bouncy balls, bringing her total number of toys for ... | When Emma watches her cousin, she gets out a variety of toys for him. The bag of building blocks has 74 blocks in it. The bin of stuffed animals has 37 stuffed animals inside. The tower of stacking rings has 30 multicolored rings on it. Emma recently bought a tube of bouncy balls, bringing her total number of toys for ... | Let T be the number of bouncy balls in the tube.
After buying the tube of balls, Emma has 74 + 37 + 30 + T = 141 + T = 215 toys for her cousin.
Thus, T = 215 - 141 = 74 bouncy balls came in the tube.
#### 74 | 74 | However, she noticed that 12 of the building blocks were duplicates of ones she already had in a separate collection at home. | The duplicates are of blocks in a separate collection at home — the bag still contains 74 blocks that she gets out for her cousin. The question is about the total number of toys she has for her cousin (215), and all 74 blocks are part of that total regardless of whether some happen to match blocks in another collection... | 930 |
50 | 4 | The area of Gabriel's rectangular living room is 1005 square feet. If the length of his room is 5 yards, what is the perimeter of the room in feet? | The area of Gabriel's rectangular living room is 1005 square feet. If the length of his room is 5 yards, and Gabriel recently removed a 3-foot-wide strip of old carpet along one wall to expose the hardwood floor underneath, what is the perimeter of the room in feet? | The length of the room is 5 yards * (3 feet / 1 yards) = 15 feet.
The width of the room is 1005 square feet / 15 feet = 67 feet.
The room's perimeter is 2(67+15) = 164
#### 164 | 164 | and Gabriel recently removed a 3-foot-wide strip of old carpet along one wall to expose the hardwood floor underneath | Removing carpet from part of the floor does not change the dimensions of the room. The perimeter is determined by the room's length and width, which remain unchanged. The 3-foot-wide strip might tempt the solver to subtract 3 feet from the width (67 feet) or otherwise adjust a dimension, but the room's actual measureme... | 440 |
1 | 9 | A fog bank rolls in from the ocean to cover a city. It takes 375 minutes to cover every 15 miles of the city. If the city is 15 miles across from the oceanfront to the opposite inland edge, how many minutes will it take for the fog bank to cover the whole city? | A fog bank rolls in from the ocean to cover a city. It takes 375 minutes to cover every 15 miles of the city. If the city is 15 miles across from the oceanfront to the opposite inland edge, and the fog bank has already dissipated over 5 miles of ocean before reaching the city, how many minutes will it take for the fog ... | The city will be covered in 15/ 15 = 1 intervals of 375 minutes.
Thus, it will take 1 * 375 = 375 minutes for the fog to cover the whole city.
#### 375 | 375 | and the fog bank has already dissipated over 5 miles of ocean before reaching the city | The question asks how long it takes the fog to cover the city, which is 15 miles across. The fog's rate is given as 375 minutes per 15 miles. What happened over the ocean before the fog reached the city is irrelevant — the coverage of the city itself is still 15 miles at the stated rate. A solver might be tempted to su... | 103 |
10 | 6 | To make a call from a hotel room phone, you must pay ₣0.8 for each minute of your call. After 15 minutes, that price drops to ₣0.4 per minute. How much would a 45-minute call cost? | To make a call from a hotel room phone, you must pay ₣0.8 for each minute of your call. After 15 minutes, that price drops to ₣0.4 per minute. How much would a 45-minute call cost if the hotel also offers a ₣5 flat-rate connection fee for calls made from the lobby, which you are not using? | First 15 minutes would be a cost of 15 * 0.8 = ₣12.
After that, there are 45 - 15 = 30 minutes of the call left.
And these 30 minutes cost 30 * 0.4 = ₣12.
So in total, the 45-minute call would cost 12 + 12 = ₣24.
#### 24 | 24 | if the hotel also offers a ₣5 flat-rate connection fee for calls made from the lobby, which you are not using | The ₣5 connection fee applies only to calls made from the lobby. The question specifies the call is made from a hotel room phone, so the lobby fee does not apply. The answer remains (15 × ₣0.8) + (30 × ₣0.4) = ₣12 + ₣12 = ₣24. | 1,223 |
92 | 2 | Ali slew 150 ogres with his mighty sword, while Santiago, using a spear, slew 1/2 as many ogres as Ali. Using a rusty iron axe, DeShawn slew eight times as many ogres as Santiago. But Tariq, having forgotten his sword at home, slew 2/4 as many ogres as DeShawn using a nail file. How many ogres has Tariq slain? | Ali slew 150 ogres with his mighty sword, while Santiago, using a spear, slew 1/2 as many ogres as Ali. Using a rusty iron axe, DeShawn slew eight times as many ogres as Santiago. But Tariq, having forgotten his sword at home, slew 2/4 as many ogres as DeShawn using a nail file, though 15 of the ogres he faced were juv... | Santiago slew 1/2 as many ogres as Ali, or 150*1/2=75 ogres.
DeShawn slew 8 as many ogres as Santiago, or 8*75=600 ogres.
Tariq slew 1/2 as many ogres as DeShawn, or 600*1/2=300 ogres.
#### 300 | 300 | though 15 of the ogres he faced were juveniles half the size of normal ogres | The question asks how many ogres Tariq slew — a count of ogres killed. The size of some ogres being smaller doesn't change the number of ogres slain. A solver might be tempted to count juveniles as half an ogre each (subtracting 7.5 or similar), but slaying an ogre is slaying an ogre regardless of its size. | 432 |
23 | 5 | Sofia is knitting winter wear for her 3 grandchildren. They're triplets, so they're all the same size. She wants to make a tunic, shawl, sweater, socks, and mittens for each of them. It takes 15 skeins of wool to make a tunic, 7 for a shawl, 6 for a sweater, 5 for a pair of socks, and 13 for a pair of mittens. How many... | Sofia is knitting winter wear for her 3 grandchildren. They're triplets, so they're all the same size. She wants to make a tunic, shawl, sweater, socks, and mittens for each of them. It takes 15 skeins of wool to make a tunic, 7 for a shawl, 6 for a sweater, 5 for a pair of socks, and 13 for a pair of mittens. She alre... | A full outfit for each child will require 15 skeins per tunic + 7 skeins per shawl + 6 skeins per sweater + 5 skeins per pair of socks + 13 skeins per pair of mittens = 46 skeins of wool.
So to knit outfits for all of her grandchildren, she will need 3*46 = 138 skeins of wool.
#### 138 | 138 | She already has 4 skeins of wool left over from a previous project, but they're a different color so she won't use them for this. | The clause introduces existing skeins that might tempt the solver to subtract 4 from the total, but it explicitly states she won't use them for this project because they're a different color. Since she can't use them, they don't reduce the amount she needs to buy. The answer remains (15 + 7 + 6 + 5 + 13) × 3 = 46 × 3 =... | 520 |
22 | 9 | Fatima was preparing for a birthday party at her house, where she intended to serve roast chicken. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 16 new plates and gave them to Fatima. While Fatima was making the roast chicken, she used... | Fatima was preparing for a birthday party at her house, where she intended to serve roast chicken. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 16 new plates and gave them to Fatima, though 4 of those plates were smaller dessert plate... | The total number of plates from Fatima and her husband was 28+5=33 plates.
Since the husband bought a package of 16 plates, then Fatima's package contained 33-16=17 plates.
#### 17 | 17 | though 4 of those plates were smaller dessert plates rather than dinner plates | The question asks about the total NUMBER of plates, not the type or size. The 4 dessert plates are still plates and are already counted within the husband's 16 plates. A solver might be tempted to subtract 4 from the husband's contribution (thinking only 12 'real' plates were added), which would incorrectly change the ... | 125 |
68 | 3 | It takes Gabrielle 6 minutes to finish a riddle and 3 minutes to finish a brain teaser. Over the free time she solved 9 riddles and 5 brain teasers. How much time did she spend playing these games? | It takes Gabrielle 6 minutes to finish a riddle and 3 minutes to finish a brain teaser. Over the free time she solved 9 riddles and 5 brain teasers, though 2 of the brain teasers were ones she had already solved once before in a previous session. How much time did she spend playing these games? | It takes 6 minutes to complete a riddle and she completed 9 for a total of 6*9 = 54 minutes
It takes 3 minutes to complete a brain teaser and she completed 5 for a total of 3*5 = 15 minutes
She spent 54 minutes on riddles and 15 minutes on brain teasers for a total of 54+15 = 69 minutes
#### 69 | 69 | though 2 of the brain teasers were ones she had already solved once before in a previous session | The question asks how much time she spent playing these games during this session. Whether she had solved some of them before doesn't change the fact that she still solved 5 brain teasers now, each taking 3 minutes. Having prior experience might tempt a solver to subtract those 2 brain teasers or reduce their time, but... | 220 |
22 | 8 | Ananya was preparing for a lunch party at her house, where she intended to serve shrimp scampi. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 17 new plates and gave them to Ananya. While Ananya was making the shrimp scampi, she used se... | Ananya was preparing for a lunch party at her house, where she intended to serve shrimp scampi. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 17 new plates and gave them to Ananya. While Ananya was making the shrimp scampi, she used se... | The total number of plates from Ananya and her husband was 31+7=38 plates.
Since the husband bought a package of 17 plates, then Ananya's package contained 38-17=21 plates.
#### 21 | 21 | but she washed and reused 3 of those plates for additional samples | Reusing plates that were already counted among the seven used doesn't change the total number of plates. She still used 7 plates for sampling regardless of whether she washed and reused some of them. The plates weren't destroyed or created — she just used the same plates again. The total count when setting the table is... | 125 |
97 | 0 | Nia operates the cash register exactly three times as fast as her less-experienced colleague Sakura. Daily, Sakura processes 55 customers. What is the total weekly production for the two if they work all days of the week? | Nia operates the cash register exactly three times as fast as her less-experienced colleague Sakura. Daily, Sakura processes 55 customers. What is the total weekly production for the two if they work all days of the week, considering that on weekends each customer transaction takes about 20% longer due to larger purcha... | While Sakura is processing 55 orders in a day, Nia processes 55 orders/day * 3 = 165 orders/day.
In a day, they process 165 orders/day + 55 orders/day = 220 orders together.
The total number of orders the two processes in a week is 220 orders/day * 7 days/week = 1540 orders
#### 1540 | 1,540 | considering that on weekends each customer transaction takes about 20% longer due to larger purchases | The question states how many customers each person processes daily (Sakura: 55, Nia: 165) and asks for total weekly production. The number of customers processed per day is already given as a fixed daily rate. Transactions taking longer per customer on weekends sounds like it should reduce throughput, but the problem d... | 636 |
27 | 1 | Nadia receives 100 emails a day. 16% of those emails don't require any response. Nadia responds to the rest of them. How many emails does Nadia respond to in a 4 day work week? | Nadia receives 100 emails a day. 16% of those emails don't require any response. Nadia responds to the rest of them. How many emails does Nadia respond to in a 4 day work week, given that she had already responded to 45 emails from the previous week before this work week started? | Nadia receives 16.0=16 emails that don't require a response
So Nadia responds to 100-16=84 emails per day
In a 4 day work week, Nadia responds to 84*4= 336 emails
#### 336 | 336 | given that she had already responded to 45 emails from the previous week before this work week started | The question asks how many emails Nadia responds to IN a 4 day work week. Emails she responded to from a previous week are not part of this work week's count. The 84 emails per day × 4 days = 336 remains unchanged. However, a model might be tempted to add or subtract the 45 previous-week emails from the total. | 1,063 |
45 | 3 | Mia has a flower bed that is 195 meters long. Mia wants to fill her flower bed with plants. Mia's flowers grow 4 meters wide so she needs to leave 15.0 meters between every plant. Mia already owns 12 flowers. Each flowering plant costs €14 at the store, how much money will Mia spend at the store to fill up her flower b... | Mia has a flower bed that is 195 meters long. Mia wants to fill her flower bed with plants. Mia's flowers grow 4 meters wide so she needs to leave 15.0 meters between every plant. Mia already owns 12 flowers. Each flowering plant costs €14 at the store, though last month they were on sale for €12 each. How much money w... | Mia's flower bed is 195 meters / 15.0 meters per plant = 13 plants needed.
Mia needs to buy 13 plants - 12 plants = 1 plants needed to purchase.
Mia will spend 1 plants * €14 = €14.
#### 14 | 14 | though last month they were on sale for €12 each | The question asks how much Mia will spend at the store now. The current price is €14 per plant. What the plants cost last month during a sale is irrelevant to what she pays today. This mirrors the inflation example from the paper — past prices don't affect current spending. The answer remains 1 plant × €14 = €14. | 984 |
6 | 3 | Thiago has 60 hectares of pear field. There are 69 pears per hectare. Thiago can harvest his pears every 2 months. How many pears can Thiago harvest within a year? | Thiago has 60 hectares of pear field. There are 69 pears per hectare. Thiago can harvest his pears every 2 months, although he typically lets 5 hectares rest each cycle by rotating which ones are resting. How many pears can Thiago harvest within a year? | Thiago has 69 x 60= 4140 pears on his field.
Thiago can harvest his pears 12 ÷ 2 = 6 times per year
Therefore Thiago can harvest 4140 x 6 = 24840 pears per year.
#### 24840 | 24,840 | although he typically lets 5 hectares rest each cycle by rotating which ones are resting | The clause says Thiago rotates WHICH 5 hectares rest each cycle. Since he harvests 6 times a year (every 2 months) and rotates the resting hectares, every hectare still gets harvested in the cycles it isn't resting. But more importantly, the question asks how many pears he CAN harvest within a year — the field yields 6... | 145 |
83 | 6 | The Smith family is busy making muffins. So far, they've made 9550 muffins. They have 2165 peanut butter muffins, 1869 strawberry muffins, and some blueberry muffins. How many blueberry muffins have they made? | The Smith family is busy making muffins. So far, they've made 9550 muffins. They have 2165 peanut butter muffins, 1869 strawberry muffins, and some blueberry muffins. They plan to set aside 350 of the blueberry muffins to give to their neighbors later today. How many blueberry muffins have they made? | The total number of pieces of peanut butter and strawberry muffins is 2165 + 1869 = 4034.
Therefore, they made 9550 - 4034 = 5516 blueberry muffins.
#### 5516 | 5,516 | They plan to set aside 350 of the blueberry muffins to give to their neighbors later today. | The question asks how many blueberry muffins they have MADE, not how many they will keep. Setting aside some to give away doesn't change the total number produced. The blueberry count is still 9550 - 2165 - 1869 = 5516. A model might be tempted to subtract 350 from this total, but the muffins set aside were already cou... | 1,305 |
42 | 9 | Oscar goes to the store to buy some flour. The normal brand of flour he buys costs ₺10 per kilogram. He had to buy a more expensive brand that costs 30% more since his favorite brand was sold out. He decides to buy a week's worth of flour and he uses 1 kilogram of flour per day. He also decided to buy himself a muffin ... | Oscar goes to the store to buy some flour. The normal brand of flour he buys costs ₺10 per kilogram. He had to buy a more expensive brand that costs 30% more since his favorite brand was sold out. He decides to buy a week's worth of flour and he uses 1 kilogram of flour per day. He also decided to buy himself a muffin ... | The flour he bought was 10*0.3=3 more expensive per kilogram than what he normally buys
So it cost 10+3=13 per kilogram
He goes through 1*7=7 kilograms of flour a week
So he paid 13.0*7=91 on flour
That means his total bill was 91+4=95
#### 95 | 95 | even though muffins at the bakery next door are 25% cheaper | The question asks how much everything cost at the store where Oscar actually bought the items. The price of muffins at a different bakery he didn't visit is irrelevant — he paid ₺4 for the muffin at this store. The cheaper alternative doesn't change what he actually spent. The answer remains 7 × ₺13 + ₺4 = ₺95. | 661 |
45 | 5 | Amelia has a flower bed that is 195 meters long. Amelia wants to fill her flower bed with plants. Amelia's flowers grow 3 meters wide so she needs to leave 13.0 meters between every plant. Amelia already owns 11 flowers. Each flowering plant costs $4 at the store, how much money will Amelia spend at the store to fill u... | Amelia has a flower bed that is 195 meters long. Amelia wants to fill her flower bed with plants. Amelia's flowers grow 3 meters wide so she needs to leave 13.0 meters between every plant. Amelia already owns 11 flowers, though 3 of them were bought last year when each plant cost $5. Each flowering plant costs $4 at th... | Amelia's flower bed is 195 meters / 13.0 meters per plant = 15 plants needed.
Amelia needs to buy 15 plants - 11 plants = 4 plants needed to purchase.
Amelia will spend 4 plants * $4 = $16.
#### 16 | 16 | though 3 of them were bought last year when each plant cost $5 | The question asks how much Amelia will spend NOW at the store. The past price she paid for flowers she already owns is irrelevant — she still owns 11 flowers regardless of what she paid for them, and the current price is $4 per plant. The number of new plants needed (15 - 11 = 4) and the cost (4 × $4 = $16) remain unch... | 984 |
12 | 3 | Jin places crackers on some trays. Each tray can hold 24 crackers. If he has 316 crackers and 8 trays, how many crackers won't he be able to place on the tray? | Jin places crackers on some trays. Each tray can hold 24 crackers. If he has 316 crackers and 8 trays, but 2 of the trays already have 12 crackers each from a previous batch that are included in his total of 316 crackers, how many crackers won't he be able to place on the tray? | Jin will be able to place a total of 24 x 8 = 192 crackers.
Therefore, there are 316 - 192 = 124 crackers that he won't be able to place on the tray.
#### 124 | 124 | but 2 of the trays already have 12 crackers each from a previous batch that are included in his total of 316 crackers | Since the 24 crackers already on the 2 trays are included in the total of 316, the capacity calculation doesn't change. The 8 trays still hold 8 × 24 = 192 crackers total, and 316 - 192 = 124 crackers still won't fit. The clause tempts solvers to think some tray capacity is already used up or to subtract/add those 24 c... | 491 |
31 | 2 | Nadia and Santiago are currently 12 years apart in age. If Nadia, who is younger than Santiago, is 62 years old, what's the average of their ages? | Nadia and Santiago are currently 12 years apart in age. If Nadia, who is younger than Santiago, is 62 years old, and 5 years ago the sum of their ages was used to calculate a family membership discount, what's the average of their ages? | If Nadia is 62 years old, Santiago is 62+12 = 74 years old.
The sum of their ages is 74+62 = 136 years
The average age of the two is 136/2 = 68 years
#### 68 | 68 | and 5 years ago the sum of their ages was used to calculate a family membership discount | The question asks for the average of their CURRENT ages. What their ages were 5 years ago, or how those past ages were used for some other purpose, is completely irrelevant. The distractor tempts the solver to compute ages 5 years ago (57 and 69) and average those instead, yielding 63, but the question clearly asks abo... | 1,277 |
85 | 4 | If Jamal and Oliver have 420 feet of fence between them, and they agree to split it with Oliver getting 180 feet more than Jamal, how much is left over for Jamal? | If Jamal and Oliver have 420 feet of fence between them, and they agree to split it with Oliver getting 180 feet more than Jamal, but Jamal already used 40 feet of his own personal fencing on a garden project last weekend, how much is left over for Jamal? | Let x be the amount of fence Jamal gets and y be the amount Oliver gets. We know that y = x + 180, and y + x = 420.
Substituting the first equation into the second equation, we get 2x+180=420
Subtracting the 180 from both sides, we get 2x=240
We divide each side by two, leaving x=120. This means Jamal has 120 feet of f... | 120 | but Jamal already used 40 feet of his own personal fencing on a garden project last weekend | The question asks how much of the shared 420 feet Jamal receives from the split. The 40 feet Jamal used last weekend was from his own personal fencing, not from this 420-foot pool they are splitting now. The split still gives Jamal (420 - 180) / 2 = 120 feet. However, a solver might be tempted to subtract 40 from Jamal... | 1,084 |
81 | 4 | The Scavenger hunt team hid 200 toys. The Johnson twins each found 35 toys. All the other toys except 15 were found by their friends. How many toys did the friends find? | The Scavenger hunt team hid 200 toys. The Johnson twins each found 35 toys, but 10 of those toys were duplicates that both twins had spotted at the same time before dividing them between themselves. All the other toys except 15 were found by their friends. How many toys did the friends find? | The Johnson twins found, 35 * 2 = 70 toys.
The number that remained hidden was 200 - 70 = 130 toys
Since 15 toys were not found, this means the friends found 130 - 15 = 115 toys.
#### 115 | 115 | but 10 of those toys were duplicates that both twins had spotted at the same time before dividing them between themselves | The statement says each twin found 35 toys, so together they found 70 toys total. The fact that 10 of those toys were spotted by both twins before being divided between them doesn't change the count — each twin still ended up with 35 toys, totaling 70. The 'duplicates' were divided (not double-counted), so the total to... | 1,025 |
78 | 7 | There are 8 periods in the day for a normal student but Oscar has to take 3 extra classes. Each class is 40 minutes long. He goes to class for 5 days a week. He then spends one-tenth of his weekly minutes each on Saturday and Sunday as extra learning time. How many hours a week does he spend learning? | There are 8 periods in the day for a normal student but Oscar has to take 3 extra classes. Each class is 40 minutes long. He goes to class for 5 days a week. He then spends one-tenth of his weekly minutes each on Saturday and Sunday as extra learning time, although he only reviews material from 6 of his daily classes d... | He takes 8+3=11 classes a day
That means he spends 40*11=440 minutes per day in class
So he spends 440*5=2200 minutes a week
That means he spends 2200*1/10=220 minutes each on Saturday and Sunday.
So he spends 2200+220+220=2640 minutes per week
So he spends 2640/60=44 hours per week
#### 44 | 44 | although he only reviews material from 6 of his daily classes during the weekend | The weekend learning time is defined as a fixed fraction (one-tenth) of his weekly class minutes, not calculated based on how many classes he reviews. The content he chooses to review doesn't change the amount of time he spends learning. He still spends one-tenth of his weekly minutes on each weekend day regardless of ... | 1,088 |
5 | 2 | Xena makes tea using teaspoons of sugar and cups of water in the ratio of 135:21. If she used a total of 468 teaspoons of sugar and cups of water, calculate the number of teaspoonfuls of sugar she used. | Xena makes tea using teaspoons of sugar and cups of water in the ratio of 135:21. If she used a total of 468 teaspoons of sugar and cups of water, calculate the number of teaspoonfuls of sugar she used, keeping in mind that for every cup of water she actually dissolved only 3/4 of a teaspoon of sugar completely while t... | The total ratio representing the ingredients she used to make the tea is 135+21 = 156
Since the fraction representing the number of teaspoons she used is 135/156, she used 135/156*468 = 405
#### 405 | 405 | keeping in mind that for every cup of water she actually dissolved only 3/4 of a teaspoon of sugar completely while the rest settled at the bottom | The question asks how many teaspoonfuls of sugar she USED, not how many dissolved. Whether the sugar dissolved or settled at the bottom, she still used the same total amount. The ratio 135:21 and total of 468 determine that she used 405 teaspoons of sugar regardless of how much dissolved. | 116 |
54 | 8 | Yara sliced a whole kiwi into 30 pieces. She ate 4 slices, her brother ate 5 more than her, and her sister ate 5 more than her brother. How many slices of kiwi did they all eat? | Yara sliced a whole kiwi into 30 pieces. She ate 4 slices, her brother ate 5 more than her, and her sister ate 5 more than her brother. However, 3 of the slices her sister ate were so thin that together they weighed about the same as a single regular slice. How many slices of kiwi did they all eat? | Her brother ate 4 + 5 = 9 slices.
Her sister ate 9 + 5 = 14 slices.
They ate a total of 4 + 9 + 14 = 27 slices.
#### 27 | 27 | However, 3 of the slices her sister ate were so thin that together they weighed about the same as a single regular slice. | The question asks how many SLICES they ate, not how much kiwi by weight. Thin slices are still individual slices. The count remains 4 + 9 + 14 = 27 regardless of slice thickness or weight. | 1,189 |
6 | 6 | Luca has 40 square meters of banana field. There are 72 bananas per square meter. Luca can harvest his bananas every 12 months. How many bananas can Luca harvest within a year? | Luca has 40 square meters of banana field. There are 72 bananas per square meter. Luca can harvest his bananas every 12 months, though he recently expanded his field by 10 square meters that won't produce any bananas until next year. How many bananas can Luca harvest within a year? | Luca has 72 x 40= 2880 bananas on his field.
Luca can harvest his bananas 12 ÷ 12 = 1 times per year
Therefore Luca can harvest 2880 x 1 = 2880 bananas per year.
#### 2880 | 2,880 | though he recently expanded his field by 10 square meters that won't produce any bananas until next year | The new 10 square meters won't produce any bananas until next year, so they contribute zero bananas to this year's harvest. The productive area remains 40 square meters, and the answer is still 40 × 72 = 2880. However, the clause tempts the solver to either add the 10 square meters to the field size (getting 3600) or t... | 145 |
88 | 0 | Keisha can run eight times faster than she can walk, but she can skip at a rate of speed that is 3/4 as fast as she can run. If she can skip at 3 miles per hour, how many miles can she travel in 8 hours if she spends one-half of the time running and 1/2 of the time walking? | Keisha can run eight times faster than she can walk, but she can skip at a rate of speed that is 3/4 as fast as she can run. If she can skip at 3 miles per hour, how many miles can she travel in 8 hours if she spends one-half of the time running and 1/2 of the time walking, assuming her skipping speed has decreased by ... | If Keisha can skip at 3/4 the speed she can run, then she can run at 3*4/3=4 miles per hour.
And since she can run at a speed that is 8 times faster than she can walk, this means she can walk at 4/8=1/2 miles per hour.
If 1/2 of the time is spent walking, then she walks for 8*1/2=4 hours.
If 1/2 of the time is spent ru... | 18 | assuming her skipping speed has decreased by 25% compared to last year | This tempts the solver to recalculate Keisha's current skipping speed as 75% of some previous value, potentially changing the derived run and walk speeds. But the problem already states her current skipping speed IS 3 miles per hour — that's the present fact. What her speed was last year is irrelevant; the current spee... | 39 |
49 | 1 | Bodhi collects garbage from 3 different apartment complexes. The first 2 have 200 apartments each and the last one is 60% bigger than the other 2 combined. Bodhi collects garbage 2 times a week from each place and he gets paid ¥0.3 per collection for each apartment. How much money does he make in a week? | Bodhi collects garbage from 3 different apartment complexes. The first 2 have 200 apartments each and the last one is 60% bigger than the other 2 combined. Bodhi collects garbage 2 times a week from each place and he gets paid ¥0.3 per collection for each apartment. However, 15% of the apartments in the largest complex... | The first 2 complexes have 2*200=400 apartments
The 3th one has 400*0.6=240 more apartments than those 2 combined. So it has 400+240=640 apartments.
So in total, he goes to 640+400=1040 apartments each time
That means he visits 1040*2=2080 apartments every week
So he makes 2080*¥0.3=¥624 every week
#### 624 | 624 | However, 15% of the apartments in the largest complex are currently vacant. | Bodhi is paid per apartment for garbage collection, not per occupied apartment. He collects garbage from the apartment complex regardless of whether individual apartments are vacant or occupied — the garbage service is for the building/complex, and his pay is based on the number of apartments, not occupancy. Vacant apa... | 1,165 |
13 | 1 | Jasmine is an avid gardener. Two days ago, she received 23 new potted plants from her favorite plant nursery. She already has 11 potted plants on each of the 58 window ledges of her large country home. Feeling generous, she has decided that she will give 3 potted plants from each ledge to friends and family tomorrow. H... | Jasmine is an avid gardener. Two days ago, she received 23 new potted plants from her favorite plant nursery, although 5 of those were replacements for plants that had wilted and been thrown away last week. She already has 11 potted plants on each of the 58 window ledges of her large country home. Feeling generous, she... | Two days ago, before receiving the plants, Jasmine had 58*11 = 638 potted plants
After receiving an additional 23 plants, she therefore had a total of 638 + 23 = 661 potted plants
Tomorrow, Jasmine's plant giveaway will be 58*3 = 174 potted plants.
She will therefore remain with 661 - 174 = 487 potted plants.
#### 487 | 487 | although 5 of those were replacements for plants that had wilted and been thrown away last week | The 11 plants per ledge is the current count on the ledges (after any plants wilted and were thrown away last week). The 23 new plants she received are 23 physical plants she now possesses regardless of why they were purchased. The fact that 5 replace previously discarded plants doesn't change the total — the dead plan... | 99 |
51 | 7 | Jamal has a vegetable stand at the local fair. He sells three kinds of vegetables: sunflowers, roses and tulips. He usually sells sunflowers for ¥2.91 per bunch, roses for ¥3.31 per bunch and tulips for ¥4.85 per bunch. Jamal has no change today, so he has decided to round all his prices to the nearest dollar. If Jamal... | Jamal has a vegetable stand at the local fair. He sells three kinds of vegetables: sunflowers, roses and tulips. He usually sells sunflowers for ¥2.91 per bunch, roses for ¥3.31 per bunch and tulips for ¥4.85 per bunch. Jamal has no change today, so he has decided to round all his prices to the nearest dollar. However,... | Jamal will round his sunflowers up from ¥2.91 to ¥3, since the number following the 2 is 5 or higher.
Jamal will round his roses down from ¥3.31 to ¥3, since the number following the 3 is less than 5.
Jamal will round his tulips up from ¥4.85 to ¥5, since the number following the 4 is 5 or higher.
Jamal sells 14 sunflo... | 271 | However, before rounding, Jamal had briefly considered offering a 15% discount on tulips to attract more customers, but ultimately decided against it. | Jamal only CONSIDERED the discount but decided against it, so the actual prices remain unchanged. The tulip price is still ¥4.85, which rounds to ¥5. The answer is still 14×3 + 18×3 + 35×5 = 42 + 54 + 175 = 271. However, the clause tempts solvers to compute 15% off ¥4.85 (getting ¥4.1225) and then round that instead (t... | 74 |
74 | 3 | There are 129 second-graders at Oak Ridge School. 58 of them are girls. On Tuesday, 3 second-grade girls and 6 second-grade boys were absent. How many second grade boys were at Oak Ridge School on Tuesday? | There are 129 second-graders at Oak Ridge School. 58 of them are girls. On Tuesday, 3 second-grade girls and 6 second-grade boys were absent. Additionally, 4 second-graders from other grades came to visit the second-grade classrooms for a reading buddy program. How many second grade boys were at Oak Ridge School on Tue... | Of the 129 second graders, 58 are girls, so 129 students - 58 girls = 71 boys.
On Tuesday there were 71 boys - 6 absent = 65 boys.
#### 65 | 65 | Additionally, 4 second-graders from other grades came to visit the second-grade classrooms for a reading buddy program. | The question asks how many second-grade boys were at Oak Ridge School on Tuesday. The visiting students are from other grades, not second-graders at Oak Ridge School in the sense the question defines (the 129 enrolled second-graders). The visitors don't change the count of second-grade boys present. Total boys = 129 - ... | 364 |
36 | 7 | Yara went to the confectionery and bought various types of desserts. She bought 1 dozen eclairs which cost $15 per dozen, 6 dozen cookies which cost $83 per dozen, and 9 dozen muffins for $115 per dozen. How much was the total cost? | Yara went to the confectionery and bought various types of desserts. She bought 1 dozen eclairs which cost $15 per dozen, 6 dozen cookies which cost $83 per dozen, and 9 dozen muffins for $115 per dozen. She had a loyalty card that gave her a 10% discount, but it had expired the previous week. How much was the total co... | The total charge for the eclairs was 1 x $15 = $15.
The total charge for the cookies was 6 x $83 = $498.
The total charge for the muffins was 9 x $115 = $1035.
Therefore the total amount Yara paid for the desserts was $15 + $498 + $1035 = $1548.
#### 1548 | 1,548 | She had a loyalty card that gave her a 10% discount, but it had expired the previous week. | The loyalty card discount is mentioned, which tempts the solver to apply a 10% reduction to the total. However, the card had already expired, so no discount applies. The total cost remains 1×15 + 6×83 + 9×115 = 15 + 498 + 1035 = 1548. | 11 |
30 | 1 | Winnie has ¥82.3 and wants to buy 22 nuts from a bin at the home improvement store. Each nut costs ¥0.65. How much money does Winnie have left after paying for the nuts? | Winnie has ¥82.3 and wants to buy 22 nuts from a bin at the home improvement store. Each nut costs ¥0.65, though buying 25 or more would qualify for a 10% bulk discount. How much money does Winnie have left after paying for the nuts? | Winnie paid 22 * ¥0.65 = ¥14.3 for the nuts.
Winnie has ¥82.3 - ¥14.3 = ¥68 left.
#### 68 | 68 | though buying 25 or more would qualify for a 10% bulk discount | Winnie is only buying 22 nuts, which is fewer than the 25 needed to qualify for the bulk discount. The discount threshold is never met, so the price remains ¥0.65 per nut. The answer is still 82.3 - (22 × 0.65) = 82.3 - 14.3 = 68. | 873 |
14 | 5 | Umar and Winnie have 96 minutes to walk to the park together. It takes them 19 minutes to get to the corner where the mall is. It takes them another 64 minutes to get to the library. How much longer do they have to get to park without being late? | Umar and Winnie have 96 minutes to walk to the park together. It takes them 19 minutes to get to the corner where the mall is. It takes them another 64 minutes to get to the library, though they could have saved 8 minutes by cutting through the mall instead of going around it. How much longer do they have to get to par... | Umar and Winnie arrive at the mall with 96 - 19 = 77 minutes left to reach the park.
They then arrive at the library and have 77 - 64 = 13 minutes left to get to park without being late.
#### 13 | 13 | though they could have saved 8 minutes by cutting through the mall instead of going around it | The question asks how much time they have LEFT to reach the park given the time already spent. They actually took 19 + 64 = 83 minutes, so they have 96 - 83 = 13 minutes remaining. The fact that they COULD HAVE saved 8 minutes by taking a shortcut doesn't change how long they actually took. The hypothetical alternative... | 684 |
29 | 2 | Wei is 10 years old. In 7 years his cousin Chen will be 3 times as old as Wei is now. How old is Chen right now? | Wei is 10 years old. In 7 years his cousin Chen will be 3 times as old as Wei is now. Wei's younger brother is exactly half Wei's current age. How old is Chen right now? | 7 years from now Chen will be 10*3=30.
Right now Chen is 30-7=23 years old.
#### 23 | 23 | Wei's younger brother is exactly half Wei's current age. | The younger brother's age is completely unrelated to the calculation of Chen's age. The problem only requires knowing Wei's current age (10) and the relationship that in 7 years Chen will be 3×10 = 30, so Chen is currently 30 - 7 = 23. However, the mention of a younger brother who is 'half Wei's age' (i.e., 5) tempts t... | 496 |
60 | 8 | Diego works a 10-hour shift each day, 3 days a week. He earns €14 per hour and gets a €390 bonus each week if the company performs well. How much money did Diego make in July if the company performed very well for the whole month? | Diego works a 10-hour shift each day, 3 days a week. He earns €14 per hour, which is €2 more than what he earned per hour in June before his raise. He also gets a €390 bonus each week if the company performs well. How much money did Diego make in July if the company performed very well for the whole month? | In a day, Diego makes 10 * 14 = €140
If he works 3 days a week, the total number of days for the whole month is 3 * 4= 12 days.
Since he makes €140 per day, the total amount for the whole month is 12 * 140= €1680.
He also got a 390 * 4 = €1560 bonus because the company performed well in all the weeks of July.
At the en... | 3,240 | which is €2 more than what he earned per hour in June before his raise | The question asks how much Diego made in July. His current hourly rate of €14 is what applies in July. What he earned in June (€12/hour) before his raise is historical information that has no bearing on his July earnings. However, it tempts the solver to either use €12 instead of €14, or to somehow factor in the raise ... | 304 |
76 | 3 | Mateo caught 7 cods last Thursday, the first cod he caught weighs 77 pounds, the second cod he caught weighs 51 pounds, and the last cod he caught weighs 20 pounds. If a pound of cod costs ¥0.5, how much will he earn after selling all the cods to the market? | Mateo caught 7 cods last Thursday, the first cod he caught weighs 77 pounds, the second cod he caught weighs 51 pounds, and the last cod he caught weighs 20 pounds. The remaining 4 cods each weigh the same as the last cod. If a pound of cod costs ¥0.5, but the market was offering a 15% premium on purchases over 200 pou... | Mateo will earn 77 x ¥0.5 = ¥38.5 from the first cod.
He will earn 51 x ¥0.5 = ¥25.5 for the second cod.
The rest of the cods are 7-2 = 5. He will earn 20 x ¥0.5 = ¥10.0 per each of them. So he will earn 5 * 10.0 = =50.0
Therefore, the total amount he will earn for all the cods is ¥38.5 + ¥25.5 + ¥50.0= ¥114.
#### 114 | 114 | but the market was offering a 15% premium on purchases over 200 pounds last Wednesday | The premium was offered last Wednesday, but Mateo caught his fish on Thursday and is selling them now — not last Wednesday. The current selling price remains ¥0.5 per pound. Total weight is 77 + 51 + 5×20 = 228 pounds, and 228 × ¥0.5 = ¥114. | 1,207 |
17 | 7 | Leilani walks 25 miles every day on her favorite walking trail, which includes 14 miles of walking on the beach and 11 miles of walking on the sidewalk. On the sidewalk, Leilani walks at two times the rate of speed that she does on the beach. If 56 minutes of her walk is spent on the beach, how long does it take for he... | Leilani walks 25 miles every day on her favorite walking trail, which includes 14 miles of walking on the beach and 11 miles of walking on the sidewalk. On the sidewalk, Leilani walks at two times the rate of speed that she does on the beach, though she recently increased her beach walking speed by 25% compared to last... | On the beach, Leilani walks at a rate of 14 miles per 56 minutes, or 14/56 = 1/4 miles per minute.
On the sidewalk, she walks at 2 times the rate of speed as when she is on the sand, or 2 * 1/4 = 1/2 miles per minute.
To walk 11 miles on the sidewalk, it takes her 11÷1/2=22 minutes.
Thus, in total, it takes Leilani 56+... | 78 | though she recently increased her beach walking speed by 25% compared to last month | The 56 minutes spent on the beach is her CURRENT time, already reflecting any recent speed changes. The sidewalk speed is defined as twice her CURRENT beach speed. What her speed was last month has no bearing on the current walk calculation. However, a solver might be tempted to 'reverse' the 25% increase to find an 'o... | 1,133 |
74 | 4 | There are 82 third-graders at Oak Ridge School. 62 of them are girls. On Wednesday, 3 third-grade girls and 8 third-grade boys were absent. How many third grade boys were at Oak Ridge School on Wednesday? | There are 82 third-graders at Oak Ridge School. 62 of them are girls. On Wednesday, 3 third-grade girls and 8 third-grade boys were absent. Additionally, 5 second-graders joined the third-grade classroom temporarily for a reading activity that morning. How many third grade boys were at Oak Ridge School on Wednesday? | Of the 82 third graders, 62 are girls, so 82 students - 62 girls = 20 boys.
On Wednesday there were 20 boys - 8 absent = 12 boys.
#### 12 | 12 | Additionally, 5 second-graders joined the third-grade classroom temporarily for a reading activity that morning. | The question asks how many third-grade boys were at school on Wednesday. The second-graders who joined the classroom are not third-graders, so they don't count toward the number of third-grade boys present. The answer remains: 82 - 62 = 20 boys total, 20 - 8 absent = 12 third-grade boys present. | 364 |
65 | 9 | Daphne is trying to decide whether to do her business accounting herself or hire one bookkeeper. If she does it herself, she'll be able to do 12 fewer hours of contract work, losing ₺25/hour in missed income. The bookkeeper charges ₺152. How much more money will she have if she hires the bookkeeper? | Daphne is trying to decide whether to do her business accounting herself or hire one bookkeeper. If she does it herself, she'll be able to do 12 fewer hours of contract work, losing ₺25/hour in missed income. The bookkeeper charges ₺152, though last year the same service would have cost ₺120 before rates went up. How m... | First find the total lost revenue if Daphne does her business accounting herself: ₺25/hour * 12 hours = ₺300
Then subtract the bookkeeper's charge to find how much money Daphne saves: ₺300 - ₺152 = ₺148
#### 148 | 148 | though last year the same service would have cost ₺120 before rates went up | The question asks how much more money Daphne will have if she hires the bookkeeper NOW. The current bookkeeper rate is ₺152, which is what she would pay. What the service cost last year is irrelevant to the current decision. The answer remains (12 × ₺25) - ₺152 = ₺300 - ₺152 = ₺148. The old price tempts the solver to u... | 164 |
54 | 7 | Ava sliced a whole mango into 31 pieces. She ate 4 slices, her sister ate 5 more than her, and her brother ate 7 more than her sister. How many slices of mango did they all eat? | Ava sliced a whole mango into 31 pieces. She ate 4 slices, her sister ate 5 more than her, and her brother ate 7 more than her sister. However, 3 of the slices her brother ate were ones that Ava had initially set aside on her own plate. How many slices of mango did they all eat? | Her sister ate 4 + 5 = 9 slices.
Her brother ate 9 + 7 = 16 slices.
They ate a total of 4 + 9 + 16 = 29 slices.
#### 29 | 29 | However, 3 of the slices her brother ate were ones that Ava had initially set aside on her own plate. | The question asks how many slices they ALL ate in total. Whether the brother took slices from Ava's plate or from the main pile doesn't change the total number each person consumed. Ava still ate 4, her sister ate 9, and her brother ate 16. The source of the brother's slices is irrelevant to the total count. A model mi... | 1,189 |
39 | 9 | A maintenance worker has to clean a university with 90 floors. They have 10 days to get it done. It takes them 20 minutes per floor. If they work 15 hours each day, what percentage of their day, on average, is spent cleaning floors? | A maintenance worker has to clean a university with 90 floors. They have 10 days to get it done. It takes them 20 minutes per floor. If they work 15 hours each day but spend the first 30 minutes of each day reviewing the building's maintenance log before starting, what percentage of their day, on average, is spent clea... | They have to clean 9 floors a day because 90 / 10 = 9
They spend 180 minutes cleaning per day because 9 x 20 = 180
They spend 3.0 hours a day because 180 / 60 = 3.0
They spend 0.2 of their day cleaning floors because 3.0 / 15 = 0.2
They spend 20% of their day cleaning floors because 0.2 x 100 = 20
#### 20 | 20 | but spend the first 30 minutes of each day reviewing the building's maintenance log before starting | The question asks what percentage of their DAY is spent cleaning, not what percentage of their available working time. The 15-hour workday and the 30-minute log review are both parts of their day. The cleaning time is 9 floors/day × 20 min = 180 min = 3 hours. Their day is 15 hours. 3/15 = 20%. The log review tempts so... | 1,239 |
86 | 2 | Leilani qualified for a spot on the volleyball team, so she went shopping for some athletic gear. She bought a jersey for ₺16, a pair of volleyball leggings for ₺12 more than the jersey cost, and a pair of cleats that were originally ₺76 but were on sale for three-fourths price. She had a coupon for ₺4 off the package ... | Leilani qualified for a spot on the volleyball team, so she went shopping for some athletic gear. She bought a jersey for ₺16, a pair of volleyball leggings for ₺12 more than the jersey cost, and a pair of cleats that were originally ₺76 but were on sale for three-fourths price. She had a coupon for ₺4 off the package ... | The leggings were ₺12 more than the jersey, so they cost ₺12 + ₺16 = ₺28.
Her cleats were 3/4 the original ₺76 price, so they cost ₺76 * 3/4 = ₺57.
With her coupon, the headbands were ₺11 - ₺4 = ₺7.
The jersey, leggings, cleats, and headbands together cost ₺16 + ₺28 + ₺57 + ₺7 = ₺108.
#### 108 | 108 | Her teammate also went shopping the same day and spent 20% more than Leilani did. | The question asks how much Leilani spent, not her teammate. The teammate's spending is defined relative to Leilani's total but is never asked about. However, the mention of '20% more' tempts the solver to compute an additional amount or mistakenly adjust Leilani's total. | 1,053 |
24 | 7 | According to its nutritional info, a bag of cookies has 475 calories per serving. If a 100 oz bag has 5 servings, how many oz can you eat if your daily calorie target is 1965 and you have already consumed 1775 calories? | According to its nutritional info, a bag of cookies has 475 calories per serving. If a 100 oz bag has 5 servings, how many oz can you eat if your daily calorie target is 1965 and you have already consumed 1775 calories? Note that the nutritional label states the values are based on a 2000-calorie daily diet. | If the total calorie target is 1965 and I have consumed 1775 calories then I have 1965-1775 = 190 calories left to eat
If each serving of cookies has 475 calories and I only have 190 calories left to eat, then I can only eat 190/475 of a serving = 2/5 of a serving
We also know that a 100 oz bag of cookies has 5 serving... | 8 | Note that the nutritional label states the values are based on a 2000-calorie daily diet. | The reference diet on a nutritional label (2000 calories) is used for calculating % Daily Values on packaging — it does not change the actual calorie content per serving (475 cal) or the person's specific daily target (1965 cal). The solver might be tempted to scale the calories per serving using the ratio 1965/2000 or... | 43 |
82 | 2 | At the beginning of the conference, there were 52 engineers and 63 nurses. After 45 minutes, four-fifths of the total number of people left. How many nurses are left if 21 engineers stayed at the conference? | At the beginning of the conference, there were 52 engineers and 63 nurses. After 45 minutes, four-fifths of the total number of people left. During the conference, 8 of the engineers had also been certified as nurses earlier in their careers. How many nurses are left if 21 engineers stayed at the conference? | There were a total of 52 engineers + 63 nurses = 115 people who attended the conference.
After 45 minutes, 115 people * 4/5 = 92 people left the conference.
This means 115 people - 92 people = 23 people stayed.
Out of the 23 who stayed, 23 people - 21 engineers = 2 were nurses.
#### 2 | 2 | During the conference, 8 of the engineers had also been certified as nurses earlier in their careers. | The problem categorizes people as either engineers or nurses at the conference — these are their roles as attendees, not overlapping sets. The 52 engineers and 63 nurses are already counted separately. The fact that some engineers once held nursing certifications doesn't reclassify them as nurses in this context. The m... | 320 |
87 | 3 | The biggest waterslide at Aqua Adventure is 300 meters long, and people slide down at 50 meters/minute. The second biggest waterslide is 260 meters long, but steeper, so people slide down at 65 meters/minute. How much longer does it take to ride the biggest slide compared to the second biggest slide? | The biggest waterslide at Aqua Adventure is 300 meters long, and people slide down at 50 meters/minute. The second biggest waterslide is 260 meters long, but steeper, so people slide down at 65 meters/minute. Due to a recent renovation, the biggest slide was extended by 40 meters from its original length of 260 meters ... | First find the ride length of the biggest slide: 300 meters / 50 meters/minute = 6 minutes
Then find the ride length of the second biggest slide: 260 meters / 65 meters/minute = 4 minutes
Then subtract the ride length of the second longest slide from the longest slide to find the difference: 6 minutes - 4 minutes = 2 m... | 2 | Due to a recent renovation, the biggest slide was extended by 40 meters from its original length of 260 meters to reach its current 300 meters. | The question asks how long it takes to ride the slides at their current lengths. The historical information about the slide's original length before renovation is irrelevant — the current length is already stated as 300 meters. However, the mention of 260 meters (matching the second slide's length) and the 40-meter ext... | 1,099 |
68 | 0 | It takes Sakura 28 minutes to finish a brain teaser and 4 minutes to finish a chess puzzle. Over the vacation she solved 4 brain teasers and 7 chess puzzles. How much time did she spend playing these games? | It takes Sakura 28 minutes to finish a brain teaser and 4 minutes to finish a chess puzzle. Over the vacation she solved 4 brain teasers and 7 chess puzzles, although 2 of the brain teasers were ones she had already solved once before last semester. How much time did she spend playing these games? | It takes 28 minutes to complete a brain teaser and she completed 4 for a total of 28*4 = 112 minutes
It takes 4 minutes to complete a chess puzzle and she completed 7 for a total of 4*7 = 28 minutes
She spent 112 minutes on brain teasers and 28 minutes on chess puzzles for a total of 112+28 = 140 minutes
#### 140 | 140 | although 2 of the brain teasers were ones she had already solved once before last semester | The question asks how much time she spent playing these games over the vacation. She still solved 4 brain teasers during the vacation regardless of whether she had solved some of them before. Having prior experience doesn't change the stated time of 28 minutes per brain teaser — the problem gives a fixed time per puzzl... | 220 |
26 | 6 | A grandfather eats 3 pizzas per day, his partner eats 3 pizzas per day, and their son eats 4 pizzas per day. How many pizzas does this family eat in one month? | A grandfather eats 3 pizzas per day, his partner eats 3 pizzas per day, and their son eats 4 pizzas per day. However, on weekends the son usually visits a friend's house and eats 2 of his daily pizzas there instead of at home. How many pizzas does this family eat in one month? | The number of pizzas they eat in one day is 3 + 3 + 4 = 10 pizzas.
The number of pizzas they eat in a month is 10 * 30 = 300 pizzas.
#### 300 | 300 | However, on weekends the son usually visits a friend's house and eats 2 of his daily pizzas there instead of at home. | The question asks how many pizzas the family eats, not how many they eat at home. The son still eats 4 pizzas per day regardless of where he eats them. Eating at a friend's house doesn't change the total number of pizzas consumed by the family. A model might be tempted to subtract the 2 pizzas eaten elsewhere on weeken... | 1,023 |
93 | 4 | When the water is cold Leon swims a kilometer in 14 minutes. When the water is warm Leon swims a kilometer in 4 minutes more than two times as long. How much longer does Leon take to swim 4 kilometers on a hot day than a cold day? | When the water is cold Leon swims a kilometer in 14 minutes. When the water is warm Leon swims a kilometer in 4 minutes more than two times as long. On hot days, Leon also takes a 5-minute rest after every kilometer, but he doesn't count rest time as swimming time. How much longer does Leon take to swim 4 kilometers on... | Cold water kilometer = 14 minutes
Warm water kilometer = 4+2(14)=32 minutes
4 kilometers in cold water: 4(14)=56 minutes
4 kilometers in warm water: 4(32)=128 minutes
Leon takes 128-56=72 minutes longer
#### 72 | 72 | On hot days, Leon also takes a 5-minute rest after every kilometer, but he doesn't count rest time as swimming time. | The question asks how much longer Leon 'takes to swim' 4 kilometers — referring to swimming time. Since rest time is explicitly not counted as swimming time, the 5-minute rests are irrelevant. The swimming time per km on a cold day is 14 min, and on a hot day is 2×14+4 = 32 min. Over 4 km the difference is 4×(32−14) = ... | 554 |
41 | 6 | A building is made out of 5 black bricks, three times as many pink bricks, and an unknown number of white bricks. If there are 29 bricks in the building in total, how many white bricks are there? | A building is made out of 5 black bricks, three times as many pink bricks, and an unknown number of white bricks. If there are 29 bricks in the building in total, but 4 of the pink bricks were originally white bricks that were painted pink, how many white bricks are there? | There are 5*3 = 15 pink bricks in the building.
There are 29-5-15 = 9 white bricks in the building.
#### 9 | 9 | but 4 of the pink bricks were originally white bricks that were painted pink | The question asks how many white bricks are currently in the building, not what color they originally were. The building currently has 5 black, 15 pink, and some white bricks totaling 29. Regardless of what color the pink bricks used to be, they ARE pink now, so the count remains: 29 - 5 - 15 = 9 white bricks. This is ... | 1,268 |
38 | 8 | A loaf of bread at the bakery costs ¥9. Bagels cost ¥2 each. How much more do 7 loaves of bread cost than 9 bagels? | A loaf of bread at the bakery costs ¥9. Bagels cost ¥2 each. How much more do 7 loaves of bread cost than 9 bagels, if the bakery offers a loyalty card that gives you 1 free bagel for every 5 bagels purchased? | 7 loaves of bread cost 7 * ¥9 = ¥63.
9 bagels cost 9 * ¥2 = ¥18.
The loaves of bread cost ¥63 - ¥18 = ¥45 more than the bagels.
#### 45 | 45 | if the bakery offers a loyalty card that gives you 1 free bagel for every 5 bagels purchased | The question asks how much more 7 loaves of bread COST than 9 bagels. The cost of 7 loaves is 7×¥9=¥63 and the cost of 9 bagels is 9×¥2=¥18. The loyalty card means you might receive a free bagel when buying 9, but the question asks about the cost difference, not the number of items received. You still pay for 9 bagels ... | 799 |
36 | 3 | Winnie went to the cafe and bought various types of treats. She bought 6 dozen danishes which cost $13 per dozen, 6 dozen tarts which cost $81 per dozen, and 3 dozen scones for $113 per dozen. How much was the total cost? | Winnie went to the cafe and bought various types of treats. She bought 6 dozen danishes which cost $13 per dozen, 6 dozen tarts which cost $81 per dozen, and 3 dozen scones for $113 per dozen. The cafe was running a promotion where customers who spend over $500 get a free loyalty card worth $25 for their next visit. Ho... | The total charge for the danishes was 6 x $13 = $78.
The total charge for the tarts was 6 x $81 = $486.
The total charge for the scones was 3 x $113 = $339.
Therefore the total amount Winnie paid for the treats was $78 + $486 + $339 = $903.
#### 903 | 903 | The cafe was running a promotion where customers who spend over $500 get a free loyalty card worth $25 for their next visit. | The loyalty card is for the NEXT visit, not this purchase. The question asks how much the total cost was for this purchase. The $25 value doesn't reduce the current bill — it's a future credit. The total cost remains 6×13 + 6×81 + 3×113 = 78 + 486 + 339 = 903. | 11 |
86 | 4 | Keisha qualified for a spot on the swimming team, so she went shopping for some athletic gear. She bought a t-shirt for $24, a pair of swimming shorts for $10 more than the t-shirt cost, and a pair of sneakers that were originally $50 but were on sale for 1/5 price. She had a coupon for $4 off the package of $6 athleti... | Keisha qualified for a spot on the swimming team, so she went shopping for some athletic gear. She bought a t-shirt for $24, a pair of swimming shorts for $10 more than the t-shirt cost, and a pair of sneakers that were originally $50 but were on sale for 1/5 price. She had a coupon for $4 off the package of $6 athleti... | The shorts were $10 more than the t-shirt, so they cost $10 + $24 = $34.
Her sneakers were 1/5 the original $50 price, so they cost $50 * 1/5 = $10.
With her coupon, the socks were $6 - $4 = $2.
The t-shirt, shorts, sneakers, and socks together cost $24 + $34 + $10 + $2 = $70.
#### 70 | 70 | She also considered buying a $15 swim cap but decided not to get it. | She decided NOT to buy the swim cap, so it contributes $0 to her total spending. However, the mention of a specific price ($15) and the context of shopping for athletic gear tempts the solver to include it in the total. | 1,053 |
50 | 3 | The area of Thiago's rectangular office is 570 square feet. If the length of his room is 5 yards, what is the perimeter of the room in feet? | The area of Thiago's rectangular office is 570 square feet. The office includes a built-in closet that takes up 50 square feet of floor space. If the length of his room is 5 yards, what is the perimeter of the room in feet? | The length of the room is 5 yards * (3 feet / 1 yards) = 15 feet.
The width of the room is 570 square feet / 15 feet = 38 feet.
The room's perimeter is 2(38+15) = 106
#### 106 | 106 | The office includes a built-in closet that takes up 50 square feet of floor space. | The area of the rectangular office is stated as 570 square feet — this is the total area of the room. The built-in closet is part of the room and already included in the 570 square feet. The closet doesn't change the room's rectangular dimensions or perimeter. A solver might be tempted to subtract 50 from 570 to get 52... | 440 |
66 | 4 | Ananya has 65 light indigo spools of thread, 143 dark indigo spools of thread, 22 light purple spools of thread, and 90 dark purple spools of thread. What percent of the spools are indigo? | Ananya has 65 light indigo spools of thread, 143 dark indigo spools of thread, 22 light purple spools of thread, and 90 dark purple spools of thread. She recently wound 15 of the dark indigo spools onto bobbins for an ongoing project. What percent of the spools are indigo? | First find the number of indigo spools: 65 spools + 143 spools = 208 spools
Then find the total number of spools: 22 spools + 90 spools + 208 spools = 320 spools
Then divide the number of indigo spools by the total number of spools and multiply by 100% to express the answer as a percentage: 208 spools / 320 spools * 10... | 65 | She recently wound 15 of the dark indigo spools onto bobbins for an ongoing project. | Winding thread from spools onto bobbins doesn't change the fact that those are still dark indigo spools of thread. The question asks what percent of the spools are indigo — it's asking about the color category, not whether the thread is still on the original spool. The total count and color classification remain unchan... | 728 |
81 | 9 | The Halloween candy hunt team hid 130 eggs. The Mirzakhani twins each found 19 eggs. All the other eggs except 14 were found by their friends. How many eggs did the friends find? | The Halloween candy hunt team hid 130 eggs. The Mirzakhani twins each found 19 eggs, but 5 of those eggs were duplicates that both twins had spotted before the other picked them up. All the other eggs except 14 were found by their friends. How many eggs did the friends find? | The Mirzakhani twins found, 19 * 2 = 38 eggs.
The number that remained hidden was 130 - 38 = 92 eggs
Since 14 eggs were not found, this means the friends found 92 - 14 = 78 eggs.
#### 78 | 78 | but 5 of those eggs were duplicates that both twins had spotted before the other picked them up | The clause describes that both twins had spotted some of the same eggs before one picked them up, but each twin still physically found and collected 19 eggs. 'Spotting' an egg is not the same as finding/collecting it. The twins each found 19 eggs (38 total), so the friends found 130 - 38 - 14 = 78. The distractor tempt... | 1,025 |
95 | 3 | There are 11 students playing basketball and seven times that number playing badminton. There are 15 boys and 10 girls playing football. If each student only participates in one group, how many students are there in total? | There are 11 students playing basketball and seven times that number playing badminton. There are 15 boys and 10 girls playing football, but 5 of the football players also signed up as substitutes for basketball before being told each student can only participate in one group. If each student only participates in one g... | There are 11 x 7 = 77 students playing badminton.
There are 15 + 10 = 25 students playing football.
In total there are 11 + 77 + 25 = 113 students.
#### 113 | 113 | but 5 of the football players also signed up as substitutes for basketball before being told each student can only participate in one group | The clause says 5 football players initially signed up for basketball too, but they were told each student can only participate in one group — which is the constraint already stated. So they ended up in only one group (football). The final counts remain unchanged: 11 basketball + 77 badminton + 25 football = 113. The t... | 918 |
34 | 5 | Prof. Brown sold his villa for $580000. He paid the registration fees that amount to 2% of the selling price and also paid a agent fee that is 4% of the selling price. If he also paid $170000 for the remaining loan amount of the villa, how much is Prof. Brown's net proceeds from selling the villa? | Prof. Brown sold his villa for $580000. He had originally purchased the villa for $320000 fifteen years ago. He paid the registration fees that amount to 2% of the selling price and also paid a agent fee that is 4% of the selling price. If he also paid $170000 for the remaining loan amount of the villa, how much is Pro... | Prof. Brown paid $580000 x 2/100 = $11600 for the registration fees.
He paid $580000 x 4/100 = $23200 for the agent fee.
So, Prof. Brown paid a total of $11600 + $23200 + $170000 = $204800 for the registration, agent, and loan fees.
Hence, Prof. Brown's net proceeds is $580000 - $204800 = $375200.
#### 375200 | 375,200 | He had originally purchased the villa for $320000 fifteen years ago. | The question asks for net proceeds from the sale, which is the selling price minus fees and loan payoff. The original purchase price is irrelevant to computing net proceeds — it would only matter if the question asked about profit or capital gains. A model might be tempted to subtract the purchase price or factor it in... | 266 |
18 | 1 | Arash went to buy some school supplies. He bought 18 colored pencils which cost ¥5.5 each, 8 pencils which cost ¥16.25 each, and a rim of bond paper which cost ¥24. How much did Arash spend on everything? | Arash went to buy some school supplies. He bought 18 colored pencils which cost ¥5.5 each, 8 pencils which cost ¥16.25 each, and a rim of bond paper which cost ¥24. How much did Arash spend on everything, given that the store was offering a 15% discount on items over ¥50 but none of Arash's individual items exceeded th... | Arash spent 18 x ¥5.5 = ¥99 for the colored pencils.
He also spent 8 x ¥16.25 = ¥130 for the pencils.
Therefore, Arash spent a total of ¥99 + ¥130 + ¥24 = ¥253 for the school supplies.
#### 253 | 253 | given that the store was offering a 15% discount on items over ¥50 but none of Arash's individual items exceeded that price | The discount applies only to individual items priced over ¥50. Since no single item Arash bought costs more than ¥50 (colored pencils are ¥5.5 each, pencils are ¥16.25 each, bond paper is ¥24), the discount never triggers. The total remains ¥253. However, a solver might be tempted to apply the 15% discount to the total... | 158 |
50 | 2 | The area of Alejandro's rectangular living room is 651 square feet. If the length of his room is 7 yards, what is the perimeter of the room in feet? | The area of Alejandro's rectangular living room is 651 square feet. If the length of his room is 7 yards, and Alejandro recently extended the room's ceiling height from 8 feet to 10 feet during a renovation, what is the perimeter of the room in feet? | The length of the room is 7 yards * (3 feet / 1 yards) = 21 feet.
The width of the room is 651 square feet / 21 feet = 31 feet.
The room's perimeter is 2(31+21) = 104
#### 104 | 104 | and Alejandro recently extended the room's ceiling height from 8 feet to 10 feet during a renovation | Perimeter is a 2D measurement of the floor's boundary. Ceiling height affects volume but has no impact on the perimeter calculation. However, the mention of a dimensional change in feet tempts the solver to incorporate it into their computation, especially since the problem already involves unit conversion between yard... | 440 |
19 | 5 | In a 50-item quiz, 10% of the questions are geography, and the rest are equally divided as algebra and chemistry questions. If Kimia is sure to get 60% of the geography questions, and 1/9 of the algebra and chemistry questions correctly, how many points is she sure to get? | In a 50-item quiz, 10% of the questions are geography, and the rest are equally divided as algebra and chemistry questions. If Kimia is sure to get 60% of the geography questions, and 1/9 of the algebra and chemistry questions correctly, how many points is she sure to get, given that the quiz originally had 60 items bu... | The algebra and chemistry questions comprises 100% - 10% = 90% of the quiz.
There are 50 questions x 10/100 = 5 geography questions.
There are a total of 50 questions x 90/100 = 45 algebra and chemistry questions.
If Kimia is sure to get 60% of the geography questions, then this means she is sure of her 5 questions x 6... | 8 | given that the quiz originally had 60 items but 10 questions were removed before the final version | The question defines the quiz as having 50 items, which is the final version. The fact that it originally had 60 items before 10 were removed is historical background that doesn't change the current quiz composition. The 50-item count is already stated explicitly. However, a model might be tempted to use 60 as the base... | 1,021 |
56 | 1 | A carton of sparkling water is 9 ounces of sparkling water. Thiago drinks 5 cartons of sparkling water. If sparkling water has 2 calories per ounce how many calories did he consume? | A carton of sparkling water is 9 ounces of sparkling water. Thiago drinks 5 cartons of sparkling water, though he only finished 3 of them in one sitting and saved the rest for later. If sparkling water has 2 calories per ounce how many calories did he consume? | He drank 9*5=45 ounces of sparkling water.
So he drank 45*2=90 calories of sparkling water
#### 90 | 90 | though he only finished 3 of them in one sitting and saved the rest for later | The question states he drinks 5 cartons total. Whether he drank them all at once or split them across sittings doesn't change the total amount consumed — he still drank all 5 cartons. The clause tempts the solver to only count 3 cartons, but 'saved the rest for later' implies he still drank them, just at a different ti... | 400 |
55 | 9 | Aisha is learning to write and decides to keep re-writing the hiragana (with 48 letters) until she knows it. She writes it in full seven times, writes two-thirds of it once, then re-writes everything she has already written. How many letters has Aisha written in total? | Aisha is learning to write and decides to keep re-writing the hiragana (with 48 letters) until she knows it. She writes it in full seven times, writes two-thirds of it once, then re-writes everything she has already written. During her first pass, she noticed that 15 of the letters she wrote were incorrect and would ne... | Aisha has written the alphabets 7 time(s) which is a total of 48 * 7 = 336 letters.
She then writes 2/3 the 48, which is 48 * 2/3 = 32 letters.
So far, this is a total of 336 + 32 = 368 letters.
Writing this again means she has doubled the number of letters she has written, so she has written a total of 368 * 2 = 736 ... | 736 | During her first pass, she noticed that 15 of the letters she wrote were incorrect and would need to be corrected later. | The question asks how many letters Aisha has written in total, not how many she wrote correctly. Incorrect letters are still letters she wrote and are counted in 'everything she has already written' when she re-writes it all. The correction would happen 'later' — outside the scope of the described actions. The total wr... | 546 |
36 | 2 | Chen went to the cafe and bought various types of treats. She bought 3 dozen danishes which cost $12 per dozen, 8 dozen tarts which cost $82 per dozen, and 6 dozen scones for $113 per dozen. How much was the total cost? | Chen went to the cafe and bought various types of treats. She bought 3 dozen danishes which cost $12 per dozen, 8 dozen tarts which cost $82 per dozen, and 6 dozen scones for $113 per dozen. The cafe was running a loyalty program where every 5th visit earns a 15% discount, but this was only Chen's 3rd visit. How much w... | The total charge for the danishes was 3 x $12 = $36.
The total charge for the tarts was 8 x $82 = $656.
The total charge for the scones was 6 x $113 = $678.
Therefore the total amount Chen paid for the treats was $36 + $656 + $678 = $1370.
#### 1370 | 1,370 | The cafe was running a loyalty program where every 5th visit earns a 15% discount, but this was only Chen's 3rd visit. | The 15% discount only applies on the 5th visit, and Chen is only on her 3rd visit, so no discount is applied. The total cost remains 3×12 + 8×82 + 6×113 = 36 + 656 + 678 = 1370. However, the mention of a specific percentage discount tempts the solver to apply 15% off the total. | 11 |
83 | 8 | The Johnson family is busy making biscuits. So far, they've made 9925 biscuits. They have 1670 peanut butter biscuits, 1218 lemon biscuits, and some blueberry biscuits. How many blueberry biscuits have they made? | The Johnson family is busy making biscuits. So far, they've made 9925 biscuits. They have 1670 peanut butter biscuits, 1218 lemon biscuits, and some blueberry biscuits. They plan to give away 350 of the blueberry biscuits to their neighbors later today. How many blueberry biscuits have they made? | The total number of pieces of peanut butter and lemon biscuits is 1670 + 1218 = 2888.
Therefore, they made 9925 - 2888 = 7037 blueberry biscuits.
#### 7037 | 7,037 | They plan to give away 350 of the blueberry biscuits to their neighbors later today. | The question asks how many blueberry biscuits they have MADE, not how many they will have after giving some away. The total made is determined by subtracting the peanut butter and lemon counts from the total biscuits made. Future plans to give some away don't change how many were made. The answer remains 9925 - 1670 - ... | 1,305 |
9 | 3 | When Aisha watches her brother, she gets out a variety of toys for him. The bag of building blocks has 72 blocks in it. The bin of stuffed animals has 36 stuffed animals inside. The tower of stacking rings has 22 multicolored rings on it. Aisha recently bought a tube of bouncy balls, bringing her total number of toys f... | When Aisha watches her brother, she gets out a variety of toys for him. The bag of building blocks has 72 blocks in it. The bin of stuffed animals has 36 stuffed animals inside. The tower of stacking rings has 22 multicolored rings on it. Aisha recently bought a tube of bouncy balls, bringing her total number of toys f... | Let T be the number of bouncy balls in the tube.
After buying the tube of balls, Aisha has 72 + 36 + 22 + T = 130 + T = 153 toys for her brother.
Thus, T = 153 - 130 = 23 bouncy balls came in the tube.
#### 23 | 23 | However, 15 of the building blocks were duplicates of ones she already had before the bag was packed. | The question states the bag has 72 blocks in it — that's the count of blocks in the bag regardless of whether some are duplicates of previously owned blocks. Duplicates are still blocks and still count toward the total number of toys. The total is 153 toys, so bouncy balls = 153 - 72 - 36 - 22 = 23. A solver might be t... | 930 |
67 | 2 | Arjun's car breaks down. The car weighs 1900 pounds and he has luggage in it weighing 100 pounds. He also has his 2 young children who weigh 80 pounds each in it. If the force to move the car is 5% of the weight, how much force does he need to push the car? | Arjun's car breaks down. The car weighs 1900 pounds and he has luggage in it weighing 100 pounds. He also has his 2 young children who weigh 80 pounds each in it. A passing neighbor offers to help and can exert 50 pounds of force on his own. If the force to move the car is 5% of the weight, how much force does he need ... | His 2 children weigh 80*2=160 pounds
So the total weight of the car and everything is 1900+100+160=2160 pounds
So he needs to generate 2160*0.05=108 pounds
#### 108 | 108 | A passing neighbor offers to help and can exert 50 pounds of force on his own. | The question asks how much force is NEEDED to push the car (i.e., the total required force), not how much force Arjun personally must exert after subtracting the neighbor's contribution. The total force required to move the car is determined solely by 5% of the total weight, which remains 5% × (1900 + 100 + 160) = 5% ×... | 1,275 |
13 | 7 | Zahra is an avid gardener. Last week, she received 40 new potted plants from her favorite plant nursery. She already has 7 potted plants on each of the 52 window ledges of her large country home. Feeling generous, she has decided that she will give 6 potted plants from each ledge to friends and family tomorrow. How man... | Zahra is an avid gardener. Last week, she received 40 new potted plants from her favorite plant nursery, though 12 of them were replacements for plants that had wilted over the summer. She already has 7 potted plants on each of the 52 window ledges of her large country home. Feeling generous, she has decided that she w... | Last week, before receiving the plants, Zahra had 52*7 = 364 potted plants
After receiving an additional 40 plants, she therefore had a total of 364 + 40 = 404 potted plants
Tomorrow, Zahra's plant giveaway will be 52*6 = 312 potted plants.
She will therefore remain with 404 - 312 = 92 potted plants.
#### 92 | 92 | though 12 of them were replacements for plants that had wilted over the summer | The clause tempts the solver to subtract 12 from the 40 new plants, thinking those 12 shouldn't be counted as 'new' additions since they replaced dead ones. But the problem states she 'received 40 new potted plants' — all 40 are plants she now has in her possession. Whether some replace wilted plants is irrelevant beca... | 99 |
58 | 0 | One troll can mine 5 kgs of ore per day with basic shovel. He can mine twice as much with a bronze pickaxe and 60% more with a titanium pickaxe than with a bronze pickaxe. How many kgs of ore can 20 trolls with titanium pickaxes mine in a month with 31 days? | One troll can mine 5 kgs of ore per day with basic shovel. He can mine twice as much with a bronze pickaxe and 60% more with a titanium pickaxe than with a bronze pickaxe. How many kgs of ore can 20 trolls with titanium pickaxes mine in a month with 31 days, considering that trolls with basic shovels would have needed ... | First find how much ore a troll can mine with an bronze pickaxe: 5 pounds/day * 2 = 10 kgs/day
Then multiply that amount by 160% to find how much a troll can mine with a titanium pickaxe: 10 kgs/day * 160% = 16 kgs/day
Then multiply the amount one troll can mine in a day with a titanium pickaxe by the number of trolls:... | 9,920 | considering that trolls with basic shovels would have needed to rest every 7th day | The rest requirement applies to trolls using basic shovels, but the question asks about trolls with titanium pickaxes. The rest schedule for a different tool is irrelevant to the production of titanium pickaxe users, but it tempts the solver to subtract rest days from the 31-day month. | 1,026 |
76 | 2 | Faisal caught 4 cods last Friday, the first cod he caught weighs 47 kgs, the second cod he caught weighs 55 kgs, and the last cod he caught weighs 24 kgs. If a kg of cod costs ¥1.0, how much will he earn after selling all the cods to the market? | Faisal caught 4 cods last Friday, the first cod he caught weighs 47 kgs, the second cod he caught weighs 55 kgs, and the last cod he caught weighs 24 kgs. If a kg of cod costs ¥1.0 and Faisal had to throw back one undersized fish earlier in the day before catching these four, how much will he earn after selling all the... | Faisal will earn 47 x ¥1.0 = ¥47.0 from the first cod.
He will earn 55 x ¥1.0 = ¥55.0 for the second cod.
The rest of the cods are 4-2 = 2. He will earn 24 x ¥1.0 = ¥24.0 per each of them. So he will earn 2 * 24.0 = =48.0
Therefore, the total amount he will earn for all the cods is ¥47.0 + ¥55.0 + ¥48.0= ¥150.
#### 150 | 150 | and Faisal had to throw back one undersized fish earlier in the day before catching these four | The fish that was thrown back is not one of the 4 cods he caught and kept. He sells the 4 cods he actually caught, so the thrown-back fish doesn't affect his earnings. The temptation is to think he only has 3 cods to sell instead of 4. The answer remains (47 + 55 + 24 + 24) × ¥1.0 = ¥150. | 1,207 |
36 | 6 | Elena went to the patisserie and bought various types of baked goods. She bought 4 dozen croissants which cost $17 per dozen, 5 dozen macarons which cost $77 per dozen, and 5 dozen brownies for $115 per dozen. How much was the total cost? | Elena went to the patisserie and bought various types of baked goods. She bought 4 dozen croissants which cost $17 per dozen, 5 dozen macarons which cost $77 per dozen, and 5 dozen brownies for $115 per dozen. The patisserie was offering a loyalty card where every 6th visit earns a 15% discount, and this was Elena's 4t... | The total charge for the croissants was 4 x $17 = $68.
The total charge for the macarons was 5 x $77 = $385.
The total charge for the brownies was 5 x $115 = $575.
Therefore the total amount Elena paid for the baked goods was $68 + $385 + $575 = $1028.
#### 1028 | 1,028 | The patisserie was offering a loyalty card where every 6th visit earns a 15% discount, and this was Elena's 4th visit. | The discount only applies on the 6th visit, and this is only Elena's 4th visit, so no discount is earned yet. The total cost remains 4×17 + 5×77 + 5×115 = 68 + 385 + 575 = 1028. | 11 |
95 | 7 | There are 4 students playing football and seven times that number playing table tennis. There are 19 boys and 10 girls playing basketball. If each student only participates in one group, how many students are there in total? | There are 4 students playing football and seven times that number playing table tennis. There are 19 boys and 10 girls playing basketball, but 3 of the basketball players also signed up as substitutes for the football team without actually joining the football group. If each student only participates in one group, how ... | There are 4 x 7 = 28 students playing table tennis.
There are 19 + 10 = 29 students playing basketball.
In total there are 4 + 28 + 29 = 61 students.
#### 61 | 61 | but 3 of the basketball players also signed up as substitutes for the football team without actually joining the football group | The clause says these basketball players signed up as substitutes but did NOT actually join the football group. They remain basketball players only. Since each student still only participates in one group, the counts are unchanged: 4 (football) + 28 (table tennis) + 29 (basketball) = 61. The temptation is to subtract 3... | 918 |
67 | 4 | Liam's van breaks down. The van weighs 2550 kilograms and he has groceries in it weighing 200 kilograms. He also has his 3 young friends who weigh 50 kilograms each in it. If the force to move the van is 1% of the weight, how much force does he need to push the van? | Liam's van breaks down. The van weighs 2550 kilograms and he has groceries in it weighing 200 kilograms. He also has his 3 young friends who weigh 50 kilograms each in it. If the force to move the van is 1% of the weight, how much force does he need to push the van? Note that the road has a 5% incline but Liam is pushi... | His 3 friends weigh 50*3=150 kilograms
So the total weight of the van and everything is 2550+200+150=2900 kilograms
So he needs to generate 2900*0.01=29 kilograms
#### 29 | 29 | Note that the road has a 5% incline but Liam is pushing the van along the flat shoulder of the road. | The 5% incline is tempting because inclines affect the force needed to push heavy objects, and a solver might try to factor it into the calculation. However, the clause explicitly states Liam is pushing along the flat shoulder, so the incline is irrelevant. The force needed is simply 1% of the total weight: (2550 + 200... | 1,275 |
16 | 5 | Arash is selling muffin and orange pie for a fundraiser. On Thursday, he sold 24 boxes of muffin and 12 fewer boxes of orange pie, than on Friday. On Friday, he sold 11 more boxes of muffins than on Thursday and 27 boxes of orange pie. If the muffin cost €8 and the orange pie cost €20, how much did Arash earn for two d... | Arash is selling muffin and orange pie for a fundraiser. On Thursday, he sold 24 boxes of muffin and 12 fewer boxes of orange pie, than on Friday. On Friday, he sold 11 more boxes of muffins than on Thursday and 27 boxes of orange pie. On Saturday, he gave away 5 unsold boxes of muffins to his neighbors. If the muffin ... | He sold 24 + 11 = 35 boxes of muffin on Friday.
The total number of boxes of muffins that Arash sold is 24 + 35 = 59.
Arash earned 59 x €8 = €472 for selling muffins.
He sold 27 - 12 = 15 boxes of orange pie on Thursday.
The total number of boxes of orange pie that Arash sold is 27 + 15 = 42.
He earned 42 x €20 = €840 ... | 1,312 | On Saturday, he gave away 5 unsold boxes of muffins to his neighbors. | The question asks how much Arash earned for two days (Thursday and Friday). The giveaway happened on Saturday and involves unsold leftover boxes, not boxes that were sold. His earnings from the two selling days remain unchanged. However, it tempts the solver to subtract 5 × €8 = €40 from the total. | 976 |
58 | 4 | One troll can mine 5 kgs of ore per day with wooden pickaxe. He can mine two times as much with a silver pickaxe and 60% more with a titanium pickaxe than with a silver pickaxe. How many kgs of ore can 20 trolls with titanium pickaxes mine in a month with 30 days? | One troll can mine 5 kgs of ore per day with wooden pickaxe. He can mine two times as much with a silver pickaxe and 60% more with a titanium pickaxe than with a silver pickaxe. However, titanium pickaxes require maintenance every 10 days, during which the trolls sharpen them using 2 kgs of ore from their personal rese... | First find how much ore a troll can mine with an silver pickaxe: 5 pounds/day * 2 = 10 kgs/day
Then multiply that amount by 160% to find how much a troll can mine with a titanium pickaxe: 10 kgs/day * 160% = 16 kgs/day
Then multiply the amount one troll can mine in a day with a titanium pickaxe by the number of trolls:... | 9,600 | However, titanium pickaxes require maintenance every 10 days, during which the trolls sharpen them using 2 kgs of ore from their personal reserve rather than from the daily mining output. | The ore used for maintenance comes from the trolls' personal reserve, not from the daily mining output. The question asks how many kgs of ore the trolls can mine, and the maintenance ore is drawn from a separate source, so the total mined ore remains unchanged at 20 trolls × 16 kg/day × 30 days = 9600 kgs. | 1,026 |
73 | 1 | Comet Hale-Bopp orbits the sun every 55 years. Yusuf's father saw the Comet when he was 24 years old. Yusuf saw the comet a second time when he was three times the age his father was when he saw the Comet. How old was Yusuf when he saw the Comet for the first time? | Comet Hale-Bopp orbits the sun every 55 years. Yusuf's father saw the Comet when he was 24 years old. Yusuf's father was 32 years older than Yusuf. Yusuf saw the comet a second time when he was three times the age his father was when he saw the Comet. How old was Yusuf when he saw the Comet for the first time? | Yusuf saw the Comet for the second time when he was 24 years * 3= 72 years old.
Comet Hale-Bopp can be seen every 55 years, so Yusuf saw the comet for the first time when he was 72 years - 55 years = 17 years old.
#### 17 | 17 | Yusuf's father was 32 years older than Yusuf. | The age gap between Yusuf and his father is irrelevant because the problem only needs: (1) the comet's orbital period (55 years), (2) the father's age when he saw it (24), and (3) Yusuf's age when he saw it the second time (3 × 24 = 72). Yusuf's first sighting was one orbit earlier: 72 − 55 = 17. The father-son age dif... | 991 |
73 | 7 | Comet Hyakutake orbits the sun every 70 years. Santiago's uncle saw the Comet when he was 44 years old. Santiago saw the comet a second time when he was two times the age his uncle was when he saw the Comet. How old was Santiago when he saw the Comet for the first time? | Comet Hyakutake orbits the sun every 70 years. Santiago's uncle saw the Comet when he was 44 years old, though astronomers noted the comet's visibility period was 5 days shorter than during its previous pass. Santiago saw the comet a second time when he was two times the age his uncle was when he saw the Comet. How old... | Santiago saw the Comet for the second time when he was 44 years * 2= 88 years old.
Comet Hyakutake can be seen every 70 years, so Santiago saw the comet for the first time when he was 88 years - 70 years = 18 years old.
#### 18 | 18 | though astronomers noted the comet's visibility period was 5 days shorter than during its previous pass | The visibility period of the comet has no bearing on the age calculations. The problem is about the orbital period (70 years) determining when Santiago could see the comet, and the age relationships between Santiago and his uncle. The duration of visibility during any particular pass doesn't change when the comet arriv... | 991 |
28 | 1 | A care facility has a capacity of 1900 rooms with 2/5 occupied. Due to the pandemic, 80 patients are admitted into the care facility each day. Calculate the total number of unoccupied rooms in the care facility after 2 weeks. | A care facility has a capacity of 1900 rooms with 2/5 occupied. Due to the pandemic, 80 patients are admitted into the care facility each day. However, each room can technically hold up to 2 patients if needed, though current policy assigns one patient per room. Calculate the total number of unoccupied rooms in the car... | If 2/5 of the total capacity of the care facility rooms is occupied, it means 2/5 * 1900 = 760 rooms have patients using them.
The total number of rooms in the care facility without new admissions is 1900 rooms - 760 rooms = 1140 rooms.
If 80 people are admitted each day, the total number of patients in the care facili... | 20 | However, each room can technically hold up to 2 patients if needed, though current policy assigns one patient per room. | The question asks about unoccupied ROOMS, not patient capacity. Since current policy assigns one patient per room, each new admitted patient occupies one room. The fact that rooms could hold 2 patients is irrelevant because the policy in effect is one patient per room. The calculation remains: initially occupied = 2/5 ... | 955 |
97 | 2 | Gabrielle operates the cash register exactly nine times as fast as her less-experienced colleague Olivia. Daily, Olivia processes 66 customers. What is the total weekly production for the two if they work all days of the week? | Gabrielle operates the cash register exactly nine times as fast as her less-experienced colleague Olivia. Daily, Olivia processes 66 customers. What is the total weekly production for the two if they work all days of the week, considering that on average 15% of the customers Olivia processes end up not making a purchas... | While Olivia is processing 66 orders in a day, Gabrielle processes 66 orders/day * 9 = 594 orders/day.
In a day, they process 594 orders/day + 66 orders/day = 660 orders together.
The total number of orders the two processes in a week is 660 orders/day * 7 days/week = 4620 orders
#### 4620 | 4,620 | considering that on average 15% of the customers Olivia processes end up not making a purchase | The question asks about the total number of customers PROCESSED (i.e., handled at the cash register), not the number of customers who complete a purchase. Whether or not a customer ultimately makes a purchase doesn't change the fact that Olivia processed them at the register. The production metric is customers processe... | 636 |
56 | 7 | A cup of tea is 10 ccs of tea. Noah drinks 4 cups of tea. If tea has 2 calories per cc how many calories did he consume? | A cup of tea is 10 ccs of tea. Noah drinks 4 cups of tea, though he added 2 ccs of zero-calorie sweetener to each cup. If tea has 2 calories per cc how many calories did he consume? | He drank 10*4=40 ccs of tea.
So he drank 40*2=80 calories of tea
#### 80 | 80 | though he added 2 ccs of zero-calorie sweetener to each cup | The sweetener has zero calories, so even though it adds volume to each cup (tempting the solver to compute calories on 12 ccs per cup), it contributes no calories. The caloric content comes only from the 10 ccs of tea per cup, so the answer remains 4 × 10 × 2 = 80. | 400 |
18 | 3 | Jamal went to buy some school supplies. He bought 24 notebooks which cost $8.5 each, 10 markers which cost $12.0 each, and a rim of bond paper which cost $22. How much did Jamal spend on everything? | Jamal went to buy some school supplies. He bought 24 notebooks which cost $8.5 each, 10 markers which cost $12.0 each, and a rim of bond paper which cost $22. If Jamal had waited until next week, the store would have offered a 15% discount on all items. How much did Jamal spend on everything? | Jamal spent 24 x $8.5 = $204 for the notebooks.
He also spent 10 x $12.0 = $120 for the markers.
Therefore, Jamal spent a total of $204 + $120 + $22 = $346 for the school supplies.
#### 346 | 346 | If Jamal had waited until next week, the store would have offered a 15% discount on all items. | The question asks how much Jamal DID spend, not how much he WOULD have spent. He already made the purchase at the stated prices. The hypothetical future discount is irrelevant to what he actually paid. | 158 |
73 | 8 | Comet Encke orbits the sun every 65 years. Tariq's grandfather saw the Comet when he was 48 years old. Tariq saw the comet a second time when he was two times the age his grandfather was when he saw the Comet. How old was Tariq when he saw the Comet for the first time? | Comet Encke orbits the sun every 65 years. Tariq's grandfather saw the Comet when he was 48 years old. Tariq was born 15 years after his grandfather first saw the Comet. Tariq saw the comet a second time when he was two times the age his grandfather was when he saw the Comet. How old was Tariq when he saw the Comet for... | Tariq saw the Comet for the second time when he was 48 years * 2= 96 years old.
Comet Encke can be seen every 65 years, so Tariq saw the comet for the first time when he was 96 years - 65 years = 31 years old.
#### 31 | 31 | Tariq was born 15 years after his grandfather first saw the Comet. | The question asks for Tariq's age when he first saw the comet, which is determined entirely by the comet's 65-year orbit period and Tariq's age at his second sighting. Tariq saw it a second time at age 2×48=96, and the comet orbits every 65 years, so his first sighting was at 96-65=31. When Tariq was born relative to h... | 991 |
8 | 1 | A juggler can juggle 420 balls. Half of the balls are tennis balls, and 1/3 of the tennis balls are teal. How many teal tennis balls are there? | A juggler can juggle 420 balls. Half of the balls are tennis balls, and 1/3 of the tennis balls are teal. The juggler recently added 30 new balls to his collection, but he can still only juggle 420 at a time. How many teal tennis balls are there? | tennis balls:420 * 1/2=210
teal tennis balls:210*1/3=70 balls
#### 70 | 70 | The juggler recently added 30 new balls to his collection, but he can still only juggle 420 at a time. | The question establishes that the juggler can juggle 420 balls, and this remains unchanged despite owning more balls. The fractions (half are tennis balls, 1/3 of those are teal) apply to the 420 balls he juggles. The extra 30 balls in his collection are irrelevant because the problem is about the 420 he juggles. The a... | 269 |
85 | 7 | If Uma and Ananya have 460 meters of fence between them, and they agree to split it with Ananya getting 100 meters more than Uma, how much is left over for Uma? | If Uma and Ananya have 460 meters of fence between them, and they agree to split it with Ananya getting 100 meters more than Uma, but Uma had already installed 30 meters of her own fence last year, how much is left over for Uma? | Let x be the amount of fence Uma gets and y be the amount Ananya gets. We know that y = x + 100, and y + x = 460.
Substituting the first equation into the second equation, we get 2x+100=460
Subtracting the 100 from both sides, we get 2x=360
We divide each side by two, leaving x=180. This means Uma has 180 meters of fen... | 180 | but Uma had already installed 30 meters of her own fence last year | The question asks how much fence Uma gets from the current 460-meter split, not how much total fence she has or still needs to install. The 30 meters she installed last year is separate from this allocation. The split is: Uma gets x, Ananya gets x + 100, and x + (x + 100) = 460, so x = 180. The previously installed fen... | 1,084 |
60 | 1 | Ali works a 6-hour shift each day, 3 days a week. He earns ¥11 per hour and gets a ¥432 bonus each week if the company performs well. How much money did Ali make in July if the company performed very well for the whole month? | Ali works a 6-hour shift each day, 3 days a week. He earns ¥11 per hour, which was raised from ¥9 per hour earlier that year, and gets a ¥432 bonus each week if the company performs well. How much money did Ali make in July if the company performed very well for the whole month? | In a day, Ali makes 6 * 11 = ¥66
If he works 3 days a week, the total number of days for the whole month is 3 * 4= 12 days.
Since he makes ¥66 per day, the total amount for the whole month is 12 * 66= ¥792.
He also got a 432 * 4 = ¥1728 bonus because the company performed well in all the weeks of July.
At the end of Ju... | 2,520 | which was raised from ¥9 per hour earlier that year | The question asks how much Ali made in July. His current hourly rate is stated as ¥11/hour, which is what he earns during July. What his rate used to be earlier in the year is irrelevant to his July earnings. This mirrors the inflation example from the paper — past prices don't affect current calculations. The temptati... | 304 |
46 | 9 | Riverside Academy is holding graduation in their Gymnasium this year which has space for 4100 people. After accounting for 650 seats for graduates and 200 seats for faculty attending, how many tickets would each graduate receive to give to their friends and family if the tickets are split equally? | Riverside Academy is holding graduation in their Gymnasium this year which has space for 4100 people. After accounting for 650 seats for graduates and 200 seats for faculty attending, how many tickets would each graduate receive to give to their friends and family if the tickets are split equally, given that 120 of the... | Add graduate and faculty seats together. 650 + 200 = 850 seats for faculty and graduates
Minus seats for faculty and graduates from total seats allowed. 4100 - 850 = 3250 remaining seats.
Divide remaining seats by the number of graduates. 3250/650 = 5 tickets
#### 5 | 5 | given that 120 of the graduates will also have reserved parking spots in the adjacent lot | The question asks about splitting remaining seat tickets equally among graduates. Reserved parking spots are in a separate lot and are not seats in the Gymnasium, so they don't affect the seat count or the number of graduates. The calculation remains (4100 - 650 - 200) / 650 = 3250 / 650 = 5. | 1,031 |
74 | 6 | There are 195 second-graders at Maple Grove School. 59 of them are girls. On Tuesday, 3 second-grade girls and 2 second-grade boys were absent. How many second grade boys were at Maple Grove School on Tuesday? | There are 195 second-graders at Maple Grove School. 59 of them are girls. On Tuesday, 3 second-grade girls and 2 second-grade boys were absent. Additionally, 4 first-graders joined the second-grade classes for a reading buddy program that morning. How many second grade boys were at Maple Grove School on Tuesday? | Of the 195 second graders, 59 are girls, so 195 students - 59 girls = 136 boys.
On Tuesday there were 136 boys - 2 absent = 134 boys.
#### 134 | 134 | Additionally, 4 first-graders joined the second-grade classes for a reading buddy program that morning. | The question asks how many second-grade boys were at school on Tuesday. The first-graders joining the classes are not second-graders, so they should not be counted. However, the clause tempts the solver to add 4 (or some portion of 4) to the count of students present, since these children were physically in the second-... | 364 |
48 | 2 | Chen can peel 12 shrimps a minute and saute 30 shrimps in 11 minutes. How long will it take her to peel and saute 60 shrimps? | Chen can peel 12 shrimps a minute and saute 30 shrimps in 11 minutes. When she first started cooking, she could only peel 8 shrimps a minute. How long will it take her to peel and saute 60 shrimps? | First find how long it takes Chen to peel the shrimp: 60 shrimp / 12 shrimp/minute = 5 minutes
Then find how many batches of shrimp she needs to cook: 60 shrimp / 30 shrimp/batch = 2 batches
Then multiply the number of batches by the time per batch to find the total cook time: 2 batches * 11 minutes/batch = 22 minutes
... | 27 | When she first started cooking, she could only peel 8 shrimps a minute. | The question asks how long it will take her (now) to peel and saute 60 shrimps. Her current peeling rate is clearly stated as 12 shrimps per minute. Her past slower rate of 8 shrimps per minute is irrelevant to her current performance. The answer remains 5 minutes peeling (60÷12) + 22 minutes sautéing (2 batches × 11 m... | 989 |
83 | 7 | The Smith family is busy making cupcakes. So far, they've made 7225 cupcakes. They have 2303 peanut butter cupcakes, 1218 lemon cupcakes, and some blueberry cupcakes. How many blueberry cupcakes have they made? | The Smith family is busy making cupcakes. So far, they've made 7225 cupcakes. They have 2303 peanut butter cupcakes, 1218 lemon cupcakes, and some blueberry cupcakes. They plan to give away 450 of the blueberry cupcakes to their neighbors later today. How many blueberry cupcakes have they made? | The total number of pieces of peanut butter and lemon cupcakes is 2303 + 1218 = 3521.
Therefore, they made 7225 - 3521 = 3704 blueberry cupcakes.
#### 3704 | 3,704 | They plan to give away 450 of the blueberry cupcakes to their neighbors later today. | The question asks how many blueberry cupcakes they have MADE, not how many they will have after giving some away. The total number made is still 7225 - 2303 - 1218 = 3704, regardless of future plans to give some away. | 1,305 |
90 | 1 | Bodhi has twice as many Twitter friends as Roya. Priya has eight times as many friends on Twitter as Roya. If Bodhi has 32 friends on Twitter, how many Twitter friends does Priya have? | Bodhi has twice as many Twitter friends as Roya. Priya has eight times as many friends on Twitter as Roya. If Bodhi has 32 friends on Twitter, but 5 of those friends are also friends with Priya, how many Twitter friends does Priya have? | Roya has 32 / 2 = 16 Twitter friends.
Priya has 8 * 16 = 128 Twitter friends.
#### 128 | 128 | but 5 of those friends are also friends with Priya | The question asks for the total number of Twitter friends Priya has. The relationships stated (Bodhi has twice Roya's friends, Priya has eight times Roya's friends) define each person's individual friend count. Mutual/overlapping friends between Bodhi and Priya don't change how many friends Priya has in total — it temp... | 149 |
41 | 8 | A building is made out of 3 orange bricks, eight times as many pink bricks, and an unknown number of green bricks. If there are 48 bricks in the building in total, how many green bricks are there? | A building is made out of 3 orange bricks, eight times as many pink bricks, and an unknown number of green bricks. If there are 48 bricks in the building in total, but 5 of the pink bricks were recycled from a previous building, how many green bricks are there? | There are 3*8 = 24 pink bricks in the building.
There are 48-3-24 = 21 green bricks in the building.
#### 21 | 21 | but 5 of the pink bricks were recycled from a previous building | The question asks how many green bricks there are based on the total count of bricks. Whether some pink bricks were recycled or new doesn't change the number of pink bricks (still 8 × 3 = 24). The recycled status is about the origin of the bricks, not the quantity. So green = 48 - 3 - 24 = 21 remains unchanged. However... | 1,268 |
64 | 5 | Sakura has 8 jars of sprinkles in her pantry. Each jar of sprinkles can decorate 15 cupcakes. Sakura wants to bake enough cupcakes to use up all of her sprinkles. If each pan holds 15 cupcakes, how many pans worth of cupcakes should she bake? | Sakura has 8 jars of sprinkles in her pantry. Each jar of sprinkles can decorate 15 cupcakes. Sakura wants to bake enough cupcakes to use up all of her sprinkles. She already has 2 pans of cupcakes that she baked yesterday but those were already decorated by her sister. If each pan holds 15 cupcakes, how many pans wort... | She has enough sprinkles for 8 * 15 = 120 cupcakes.
She needs 120 / 15 = 8 pans to bake all of the cupcakes.
#### 8 | 8 | She already has 2 pans of cupcakes that she baked yesterday but those were already decorated by her sister. | The question asks how many pans worth of cupcakes Sakura should bake to use up all her sprinkles. The 2 pans from yesterday were already decorated (using other sprinkles, by her sister), so they don't consume any of Sakura's 8 jars. She still needs to bake enough cupcakes for all 8 jars × 15 cupcakes = 120 cupcakes, wh... | 469 |
End of preview.
GSM-NoOp (audited)
NoOp distractor clauses for GSM-Symbolic questions, audited for genuine irrelevance by an independent model (GPT-5.5), plus per-model evaluation results.
Accompanies the post Revisiting GSM-Symbolic: Do 2026 Frontier Models Still Fail at Confounded Grade School Math? and the code at github.com/BenSturgeon/gsm-symbolic-revisited.
Why
The GSM-Symbolic paper (Mirzadeh et al., Apple, ICLR 2025) reported that adding an irrelevant "NoOp" clause collapses LLM accuracy (~25–65 pp). Apple did not release the NoOp set. We regenerate one and audit each distractor for true irrelevance with a model from a different family than the generator, to separate "genuinely irrelevant" distractors from merely ambiguous ones. On the audited set the drop essentially vanishes (0–4 pp, not distinguishable from zero) for Opus 4.6, Haiku 4.5, and GPT-4o.
Contents
distractors/
GSM_symbolic_100x10.jsonl— the source subset (100 templates × 10 instances) drawn from Apple's GSM-Symbolic.GSM_noop_100.jsonl— 945 distractor clauses (one per question; malformed generations dropped), generated by Claude Opus 4.6. Fields includeoriginal_question,question(with distractor),added_clause,gold_answer.GSM_noop_100_audit_gpt55.jsonl— GPT-5.5 verdict per distractor:TRULY_IRRELEVANT/AMBIGUOUS/ACTUALLY_RELEVANT+ one-line reasoning. (auditor of record)GSM_noop_100_audit_opus.jsonl— Claude Opus 4.6 verdict (robustness cross-check; Cohen's κ = 0.32 vs GPT-5.5).GSM_noop_100_filtered_gpt55.jsonl— the 117 distractors GPT-5.5 calls TRULY_IRRELEVANT (primary audited set).GSM_noop_100_filtered_opus.jsonl— the 338 Opus keeps.
results/<dataset>/<model>.jsonl — per-question model responses + correctness for baseline (gsm_symbolic_100), unaudited (gsm_noop_100), and audited (gsm_noop_100_filtered_gpt55, gsm_noop_100_filtered) sets, for Opus 4.6, Haiku 4.5, GPT-4o (gpt-4o-2024-08-06).
Attribution & license
Derived from Apple's GSM-Symbolic templates (© 2024 Apple Inc.), redistributed under Apple's sample-code license — see LICENSE. The distractor clauses are modifications of those questions. Apple's name may not be used to endorse this derivative work. Original paper: https://machinelearning.apple.com/research/gsm-symbolic.
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