prompt stringlengths 246 5.04k | completion stringlengths 10 6.06k | category stringclasses 10
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|---|---|---|---|---|
<|im_user|>user<|im_middle|>Sophia grows onions in a garden with 7 rows. Each row has 13 plants, and each plant yields 6 onions. Of the harvest, 20% are damaged and discarded. How many onions does Sophia harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step... | I need to find the total number of onions Sophia harvests, accounting for the 20% that are damaged and discarded.
**Step 1: Calculate total plants**
- 7 rows × 13 plants per row = 91 plants
**Step 2: Calculate total onions before damage**
- 91 plants × 6 onions per plant = 546 onions
**Step 3: Calculate undamaged on... | v31_math_gsm_symbolic | 437 | null |
<|im_user|>user<|im_middle|>Fiona can pack 30 labels per hour, and Kevin can pack 20 labels per hour. Working together for 5 hours, how many labels do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<... | I need to find how many labels Fiona and Kevin pack together in 5 hours.
**Step 1: Find Fiona's rate and total**
Fiona packs 30 labels per hour.
In 5 hours, Fiona packs: 30 × 5 = 150 labels
**Step 2: Find Kevin's rate and total**
Kevin packs 20 labels per hour.
In 5 hours, Kevin packs: 20 × 5 = 100 labels
**Step 3: ... | v31_math_gsm_symbolic | 250 | null |
<|im_user|>user<|im_middle|>Quinn is checking in returned books. 6 books are 6 days overdue. The fine is $2 per day per book. The library waives 25% of the fine for a loyal patron. 1 of the books are also damaged, with a replacement fee of $15 each. What is the total fine in dollars?
Solve step by step and end with '#... | I need to find the total fine for Quinn's returned books.
**Step 1: Calculate the overdue fine before waiver**
- Number of books: 6
- Days overdue: 6 days
- Fine rate: $2 per day per book
Overdue fine = 6 books × 6 days × $2/day/book = $72
**Step 2: Apply the 25% waiver for loyal patron**
- Waiver amount: 25% of $72... | v31_math_gsm_symbolic | 69 | null |
<|im_user|>user<|im_middle|>Mason has 400 marbles. They give 40% of the marbles to a friend. How many marbles does Mason give away? The recipe was originally written 30 years ago.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the fina... | I need to find how many marbles Mason gives away.
Step 1: Identify the total number of marbles.
Mason has 400 marbles.
Step 2: Identify the percentage to give away.
Mason gives away 40% of the marbles.
Step 3: Calculate 40% of 400.
40% × 400 = 0.40 × 400 = 160
The information about the recipe being written 30 years... | v31_math_gsm_symbolic | 160 | null |
<|im_user|>user<|im_middle|>Sam has 200 marbles. They give 20% of the marbles to a friend. The friend then gives 20% of THOSE marbles to a sibling. How many marbles does the sibling receive?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N ... | I need to find how many marbles the sibling receives, working step by step.
**Step 1: Find how many marbles Sam gives to the friend**
Sam has 200 marbles and gives 20% to a friend.
Marbles to friend = 20% × 200 = 0.20 × 200 = 40 marbles
**Step 2: Find how many marbles the friend gives to the sibling**
The friend g... | v31_math_gsm_symbolic | 8 | null |
<|im_user|>user<|im_middle|>Alice is checking in returned books. 3 books are 7 days overdue. The fine is $1 per day per book. The library waives 10% of the fine for a loyal patron. 0 of the books are also damaged, with a replacement fee of $0 each. What is the total fine in dollars?
Solve step by step and end with '##... | I need to find the total fine for Alice's returned books.
**Step 1: Calculate the base overdue fine**
- Number of overdue books: 3
- Days overdue per book: 7
- Fine per day per book: $1
Base fine = 3 × 7 × $1 = $21
**Step 2: Apply the loyal patron waiver**
- Waiver percentage: 10%
- Amount waived: $21 × 0.10 = $2.10... | v31_math_gsm_symbolic | 19 | null |
<|im_user|>user<|im_middle|>Noah is checking in returned books. 6 books are 9 days overdue. The fine is $1 per day per book. What is the total fine in dollars? A nearby billboard advertises a sale ending in 87 days.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and e... | I need to find the total fine for the overdue books.
Step 1: Identify the given information
- Number of books: 6
- Days overdue per book: 9 days
- Fine rate: $1 per day per book
- Billboard information: 87 days (irrelevant to this calculation)
Step 2: Calculate the total fine
Total fine = Number of books × Days overd... | v31_math_gsm_symbolic | 54 | null |
<|im_user|>user<|im_middle|>Iris grows onions in a garden with 10 rows. Each row has 12 plants, and each plant yields 3 onions. How many onions does Iris harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeri... | I need to find the total number of onions Iris harvests.
**Step 1: Find the total number of plants**
- Number of rows: 10
- Plants per row: 12
- Total plants = 10 × 12 = 120 plants
**Step 2: Find the total number of onions**
- Onions per plant: 3
- Total onions = 120 × 3 = 360 onions
#### 360<|im_end|> | v31_math_gsm_symbolic | 360 | null |
<|im_user|>user<|im_middle|>Quinn runs a bakery that produces 100 cakes per day. Over 5 days, the bakery has standing orders for 56 cakes per day. How many extra cakes are left over after 5 days?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' whe... | I need to find how many extra cakes are left over after 5 days.
**Step 1: Calculate total cakes produced in 5 days**
Total production = 100 cakes/day × 5 days = 500 cakes
**Step 2: Calculate total standing orders in 5 days**
Total orders = 56 cakes/day × 5 days = 280 cakes
**Step 3: Calculate leftover cakes**
Leftov... | v31_math_gsm_symbolic | 220 | null |
<|im_user|>user<|im_middle|>Kevin runs a bakery that produces 60 muffins per day. Over 5 days, the bakery has standing orders for 37 muffins per day. After fulfilling orders, 9 muffins per day are donated to a shelter. How many extra muffins are left over after 5 days?
Solve step by step and end with '#### N' where N ... | I need to find how many extra muffins are left over after 5 days.
**Step 1: Calculate total muffins produced in 5 days**
60 muffins/day × 5 days = 300 muffins
**Step 2: Calculate total muffins for standing orders in 5 days**
37 muffins/day × 5 days = 185 muffins
**Step 3: Calculate total muffins donated in 5 days**
... | v31_math_gsm_symbolic | 70 | null |
<|im_user|>user<|im_middle|>George is checking in returned books. 3 books are 7 days overdue. The fine is $2 per day per book. What is the total fine in dollars? A nearby billboard advertises a sale ending in 93 days.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and... | I need to find the total fine for the overdue books.
Step 1: Identify the given information
- Number of overdue books: 3
- Days overdue per book: 7
- Fine per day per book: $2
- The billboard information (93 days) is irrelevant to this problem
Step 2: Calculate the fine for one book
Fine for one book = Days overdue ×... | v31_math_gsm_symbolic | 42 | null |
<|im_user|>user<|im_middle|>Alice can pack 40 envelopes per hour, and Piper can pack 15 envelopes per hour. Working together for 4 hours, how many envelopes do they pack? The store opened 49 hours earlier than usual.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find how many envelopes Alice and Piper pack together in 4 hours.
**Step 1: Find Alice's rate and contribution**
Alice packs 40 envelopes per hour.
In 4 hours, Alice packs: 40 × 4 = 160 envelopes
**Step 2: Find Piper's rate and contribution**
Piper packs 15 envelopes per hour.
In 4 hours, Piper packs: 15 × ... | v31_math_gsm_symbolic | 220 | null |
<|im_user|>user<|im_middle|>Jake drives across the country. They first travels at 60 mph for 5 hours, then travels at 40 mph for 5 hours. What is the total distance in miles that Jake drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N... | I need to find the total distance Jake drives across two segments of the trip.
**Step 1: Calculate distance for the first segment**
- Speed: 60 mph
- Time: 5 hours
- Distance = speed × time = 60 × 5 = 300 miles
**Step 2: Calculate distance for the second segment**
- Speed: 40 mph
- Time: 5 hours
- Distance = speed × ... | v31_math_gsm_symbolic | 500 | null |
<|im_user|>user<|im_middle|>Quinn grows peppers in a garden with 6 rows. Each row has 11 plants, and each plant yields 3 peppers. How many peppers does Quinn harvest in total? A nearby billboard advertises a sale ending in 20 days.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve st... | I need to find the total number of peppers Quinn harvests.
**Step 1: Find the total number of pepper plants**
- Number of rows: 6
- Plants per row: 11
- Total plants = 6 × 11 = 66 plants
**Step 2: Find the total number of peppers**
- Each plant yields: 3 peppers
- Total peppers = 66 × 3 = 198 peppers
The information... | v31_math_gsm_symbolic | 198 | null |
<|im_user|>user<|im_middle|>Henry goes to the toy store with $150. They buy 6 muffins at $3 each, 5 scones at $8 each, and 3 cookies at $8 each (today the scones are 10% off). There is a 10% sales tax on the discounted subtotal. How much money does Henry have left?
Solve step by step and end with '#### N' where N is t... | I need to find how much money Henry has left after his purchases.
**Step 1: Calculate the cost of muffins**
6 muffins × $3 each = $18
**Step 2: Calculate the cost of scones (with 10% discount)**
Original price: 5 scones × $8 each = $40
Discount: $40 × 0.10 = $4
Discounted price: $40 − $4 = $36
**Step 3: Calculate th... | v31_math_gsm_symbolic | 65 | null |
<|im_user|>user<|im_middle|>Tyler can pack 30 boxes per hour, and George can pack 25 boxes per hour. Working together for 6 hours, how many boxes do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|i... | I need to find how many boxes Tyler and George pack together in 6 hours.
**Step 1: Find Tyler's rate and total boxes**
- Tyler packs 30 boxes per hour
- In 6 hours: 30 × 6 = 180 boxes
**Step 2: Find George's rate and total boxes**
- George packs 25 boxes per hour
- In 6 hours: 25 × 6 = 150 boxes
**Step 3: Find their... | v31_math_gsm_symbolic | 330 | null |
<|im_user|>user<|im_middle|>Noah can pack 25 boxes per hour, and Piper can pack 20 boxes per hour. Working together for 8 hours, how many boxes do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|im_... | I need to find how many boxes Noah and Piper can pack together in 8 hours.
**Step 1: Find Noah's packing rate**
Noah packs 25 boxes per hour.
**Step 2: Find Piper's packing rate**
Piper packs 20 boxes per hour.
**Step 3: Find their combined rate**
Together, they pack 25 + 20 = 45 boxes per hour.
**Step 4: Calculate... | v31_math_gsm_symbolic | 360 | null |
<|im_user|>user<|im_middle|>Henry teaches a class of 30 students. Each student needs 2 pencils, 2 notebooks, and 1 erasers. They also order an extra 25% as spares. On the way to school, 4 items get crushed and have to be discarded. How many supplies in total does Henry need to order?
Solve step by step and end with '#... | I need to find the total supplies Henry needs to order, accounting for spares and damaged items.
## Step 1: Calculate Basic Supplies Per Student
Each student needs:
- 2 pencils
- 2 notebooks
- 1 eraser
Total per student: 2 + 2 + 1 = 5 items
## Step 2: Calculate Total Basic Supplies for Class
For 30 students: 30 × 5 ... | v31_math_gsm_symbolic | 183 | null |
<|im_user|>user<|im_middle|>Emma goes to the hardware store with $80. They buy 2 notebooks at $3 each, and 5 tickets at $8 each (today the tickets are 10% off). There is a 5% sales tax on the discounted subtotal. How much money does Emma have left?
Solve step by step and end with '#### N' where N is the final integer ... | I need to find how much money Emma has left after her purchases.
**Step 1: Calculate the cost of notebooks**
- 2 notebooks × $3 each = $6
**Step 2: Calculate the cost of tickets (with 10% discount)**
- Original price: 5 tickets × $8 each = $40
- Discount: 10% of $40 = $4
- Discounted price: $40 − $4 = $36
**Step 3: ... | v31_math_gsm_symbolic | 36 | null |
<|im_user|>user<|im_middle|>Bella teaches a class of 30 students. Each student needs 2 pencils, 1 notebooks, and 2 erasers. How many supplies in total does Bella need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final n... | I need to find the total number of supplies Bella needs to order for her class.
**Step 1: Identify the number of students**
- Number of students: 30
**Step 2: Identify supplies needed per student**
- Pencils: 2 per student
- Notebooks: 1 per student
- Erasers: 2 per student
**Step 3: Calculate total supplies of each... | v31_math_gsm_symbolic | 150 | null |
<|im_user|>user<|im_middle|>Olivia goes to the candy shop with $200. They buy 2 books at $4 each, 3 magazines at $6 each, and 3 stickers at $8 each (today the magazines are 20% off). There is a 8% sales tax on the discounted subtotal. How much money does Olivia have left?
Solve step by step and end with '#### N' where... | I need to find how much money Olivia has left after her purchases.
**Step 1: Calculate the cost of books**
- 2 books × $4 each = $8
**Step 2: Calculate the cost of magazines (with 20% discount)**
- Original price: 3 magazines × $6 each = $18
- Discount: 20% of $18 = 0.20 × $18 = $3.60
- Discounted price: $18 − $3.60 ... | v31_math_gsm_symbolic | 150 | null |
<|im_user|>user<|im_middle|>Ben teaches a class of 28 students. Each student needs 2 pencils, 1 notebooks, and 1 erasers. They also order an extra 20% as spares. On the way to school, 3 items get crushed and have to be discarded. How many supplies in total does Ben need to order?
Solve step by step and end with '#### ... | I need to find the total supplies Ben needs to order.
## Step 1: Calculate basic supplies per student
Each student needs:
- 2 pencils
- 1 notebook
- 1 eraser
Total per student: 2 + 1 + 1 = 4 items
## Step 2: Calculate total basic supplies for class
28 students × 4 items = 112 items
## Step 3: Add 20% spares
Spares ... | v31_math_gsm_symbolic | 131 | null |
<|im_user|>user<|im_middle|>Sam grows onions in a garden with 8 rows. Each row has 20 plants, and each plant yields 8 onions. How many onions does Sam harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric a... | I need to find the total number of onions Sam harvests.
**Step 1: Find the total number of plants**
- Sam has 8 rows
- Each row has 20 plants
- Total plants = 8 × 20 = 160 plants
**Step 2: Find the total number of onions**
- Each plant yields 8 onions
- Total onions = 160 × 8 = 1,280 onions
#### 1280<|im_end|> | v31_math_gsm_symbolic | 1280 | null |
<|im_user|>user<|im_middle|>Bella has 500 marbles. They give 15% of the marbles to a friend. The friend then gives 25% of THOSE marbles to a sibling. How many marbles does the sibling receive after they redistribute? The sibling later gives 50% to a cousin; how many marbles does the cousin receive?
Solve step by step ... | I need to find how many marbles the cousin receives after a series of redistributions.
**Step 1: Bella gives 15% of marbles to a friend**
Bella starts with 500 marbles.
Marbles given to friend = 15% of 500 = 0.15 × 500 = **75 marbles**
**Step 2: The friend gives 25% of those marbles to a sibling**
The friend has 75 ... | v31_math_gsm_symbolic | 9 | null |
<|im_user|>user<|im_middle|>Henry has 200 marbles. They give 20% of the marbles to a friend. How many marbles does Henry give away? The cashier mentions they've worked there for 7 years.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is t... | I need to find how many marbles Henry gives away.
Step 1: Identify the total number of marbles Henry has.
Henry has 200 marbles.
Step 2: Identify the percentage given away.
Henry gives away 20% of the marbles.
Step 3: Calculate 20% of 200.
20% × 200 = 0.20 × 200 = 40
Note: The cashier's comment about working there ... | v31_math_gsm_symbolic | 40 | null |
<|im_user|>user<|im_middle|>Emma runs a bakery that produces 150 muffins per day. Over 4 days, the bakery has standing orders for 96 muffins per day. How many extra muffins are left over after 4 days?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N... | I need to find how many extra muffins are left over after 4 days.
**Step 1: Calculate total muffins produced in 4 days**
Total production = 150 muffins/day × 4 days = 600 muffins
**Step 2: Calculate total standing orders in 4 days**
Total orders = 96 muffins/day × 4 days = 384 muffins
**Step 3: Calculate leftover mu... | v31_math_gsm_symbolic | 216 | null |
<|im_user|>user<|im_middle|>Oscar grows tomatoes in a garden with 8 rows. Each row has 13 plants, and each plant yields 8 tomatoes. How many tomatoes does Oscar harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final... | I need to find the total number of tomatoes Oscar harvests.
**Step 1: Find the total number of tomato plants**
- Number of rows: 8
- Plants per row: 13
- Total plants = 8 × 13 = 104 plants
**Step 2: Find the total number of tomatoes**
- Tomatoes per plant: 8
- Total tomatoes = 104 × 8 = 832 tomatoes
#### 832<|im_end... | v31_math_gsm_symbolic | 832 | null |
<|im_user|>user<|im_middle|>Ethan teaches a class of 28 students. Each student needs 3 pencils, 3 notebooks, and 1 erasers. They also order an extra 25% as spares. How many supplies in total does Ethan need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find the total supplies Ethan needs to order, including the 25% spares.
## Step 1: Calculate Supplies Per Student
Each student needs:
- 3 pencils
- 3 notebooks
- 1 eraser
Total per student: 3 + 3 + 1 = **7 supplies**
## Step 2: Calculate Total Supplies for All Students
For 28 students: 28 × 7 = **196 suppl... | v31_math_gsm_symbolic | 245 | null |
<|im_user|>user<|im_middle|>Nora grows onions in a garden with 7 rows. Each row has 11 plants, and each plant yields 3 onions. How many onions does Nora harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric... | I need to find the total number of onions Nora harvests.
**Step 1: Find the total number of plants**
- Number of rows: 7
- Plants per row: 11
- Total plants = 7 × 11 = 77 plants
**Step 2: Find the total number of onions**
- Onions per plant: 3
- Total onions = 77 × 3 = 231 onions
#### 231<|im_end|> | v31_math_gsm_symbolic | 231 | null |
<|im_user|>user<|im_middle|>Tyler is checking in returned books. 2 books are 11 days overdue. The fine is $5 per day per book. The library waives 25% of the fine for a loyal patron. What is the total fine in dollars?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find the total fine for Tyler's overdue books.
**Step 1: Calculate the total fine before waiver**
- Number of books: 2
- Days overdue: 11 days
- Fine per day per book: $5
Total fine before waiver = 2 books × 11 days × $5/day/book
Total fine before waiver = $110
**Step 2: Calculate the waiver amount**
- Wai... | v31_math_gsm_symbolic | 83 | null |
<|im_user|>user<|im_middle|>Kara is checking in returned books. 2 books are 12 days overdue. The fine is $2 per day per book. What is the total fine in dollars? The cashier mentions they've worked there for 44 years.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find the total fine for the overdue books.
Step 1: Identify the given information
- Number of overdue books: 2
- Days overdue per book: 12 days
- Fine rate: $2 per day per book
- Cashier's years worked: 44 years (this is irrelevant to the calculation)
Step 2: Calculate the fine for one book
Fine for one boo... | v31_math_gsm_symbolic | 48 | null |
<|im_user|>user<|im_middle|>Kara runs a bakery that produces 60 cakes per day. Over 3 days, the bakery has standing orders for 35 cakes per day. After fulfilling orders, 7 cakes per day are donated to a shelter. How many extra cakes are left over after 3 days?
Solve step by step and end with '#### N' where N is the fi... | I need to find how many extra cakes are left over after 3 days.
**Step 1: Calculate total cakes produced in 3 days**
- Production per day: 60 cakes
- Total production: 60 × 3 = 180 cakes
**Step 2: Calculate total standing orders for 3 days**
- Orders per day: 35 cakes
- Total orders: 35 × 3 = 105 cakes
**Step 3: Cal... | v31_math_gsm_symbolic | 54 | null |
<|im_user|>user<|im_middle|>Quinn grows onions in a garden with 11 rows. Each row has 17 plants, and each plant yields 5 onions. How many onions does Quinn harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final nume... | I need to find the total number of onions Quinn harvests.
**Step 1: Find the total number of plants**
- Number of rows: 11
- Plants per row: 17
- Total plants = 11 × 17 = 187
**Step 2: Find the total number of onions**
- Onions per plant: 5
- Total onions = 187 × 5 = 935
#### 935<|im_end|> | v31_math_gsm_symbolic | 935 | null |
<|im_user|>user<|im_middle|>Ben runs a bakery that produces 80 muffins per day. Over 7 days, the bakery has standing orders for 57 muffins per day. After fulfilling orders, 6 muffins per day are donated to a shelter. Each day, 6 muffins are burned and thrown away. How many extra muffins are left over after 7 days?
Sol... | I need to find how many extra muffins are left over after 7 days.
## Step 1: Calculate daily muffin production
Daily production: 80 muffins
## Step 2: Calculate total muffins produced over 7 days
Total produced: 80 × 7 = 560 muffins
## Step 3: Calculate total standing orders over 7 days
Standing orders: 57 × 7 = 399... | v31_math_gsm_symbolic | 77 | null |
<|im_user|>user<|im_middle|>Oscar grows onions in a garden with 11 rows. Each row has 11 plants, and each plant yields 5 onions. How many onions does Oscar harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final nume... | I need to find the total number of onions Oscar harvests.
**Step 1: Find the total number of plants**
- Number of rows: 11
- Plants per row: 11
- Total plants = 11 × 11 = 121
**Step 2: Find the total number of onions**
- Onions per plant: 5
- Total onions = 121 × 5 = 605
#### 605<|im_end|> | v31_math_gsm_symbolic | 605 | null |
<|im_user|>user<|im_middle|>Grace can pack 25 labels per hour, and Mason can pack 25 labels per hour. A third worker Bella packs 20 labels per hour. Working together for 4 hours, They each take a 10-minute break during the shift, during which no packing happens. How many labels do they pack?
Solve step by step and end... | I need to find the total labels packed by Grace, Mason, and Bella working together for 4 hours with a 10-minute break.
## Step 1: Determine effective working time
- Total shift time: 4 hours = 240 minutes
- Break time: 10 minutes (each takes a break, but this is a shared break where no packing happens)
- Effective wor... | v31_math_gsm_symbolic | 270 | null |
<|im_user|>user<|im_middle|>Alice drives across the country. They first travels at 70 mph for 2 hours, then travels at 50 mph for 5 hours. After a short break they continue at 65 mph for 2 more hours. What is the total distance in miles that Alice drives?
Solve step by step and end with '#### N' where N is the final i... | I need to find the total distance Alice drives by calculating the distance for each segment of the trip.
**Step 1: Calculate distance for the first segment**
- Speed: 70 mph
- Time: 2 hours
- Distance = 70 × 2 = 140 miles
**Step 2: Calculate distance for the second segment**
- Speed: 50 mph
- Time: 5 hours
- Distance... | v31_math_gsm_symbolic | 520 | null |
<|im_user|>user<|im_middle|>Chris drives across the country. They first travels at 60 mph for 2 hours, then travels at 40 mph for 4 hours, then travels at 50 mph for 5 hours. What is the total distance in miles that Chris drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step... | I need to find the total distance Chris drives across three segments of the trip.
**Step 1: Calculate distance for the first segment**
- Speed: 60 mph
- Time: 2 hours
- Distance = 60 × 2 = 120 miles
**Step 2: Calculate distance for the second segment**
- Speed: 40 mph
- Time: 4 hours
- Distance = 40 × 4 = 160 miles
... | v31_math_gsm_symbolic | 530 | null |
<|im_user|>user<|im_middle|>Paul teaches a class of 25 students. Each student needs 3 pencils, 3 notebooks, and 1 erasers. They also order an extra 20% as spares. On the way to school, 8 items get crushed and have to be discarded. How many supplies in total does Paul need to order?
Solve step by step and end with '###... | I need to find the total supplies Paul needs to order, accounting for spares and damaged items.
## Step 1: Calculate base supplies per student
Each student needs:
- 3 pencils
- 3 notebooks
- 1 eraser
Total per student: 3 + 3 + 1 = 7 items
## Step 2: Calculate total base supplies for class
25 students × 7 items = 175... | v31_math_gsm_symbolic | 202 | null |
<|im_user|>user<|im_middle|>Mason teaches a class of 18 students. Each student needs 3 pencils, 3 notebooks, and 2 erasers. They also order an extra 10% as spares. On the way to school, 5 items get crushed and have to be discarded. How many supplies in total does Mason need to order?
Solve step by step and end with '#... | I need to find the total supplies Mason needs to order, accounting for student needs, spares, and items that get crushed.
## Step 1: Calculate supplies per student
Each student needs:
- Pencils: 3
- Notebooks: 3
- Erasers: 2
Total per student: 3 + 3 + 2 = **8 items**
## Step 2: Calculate base supplies for all studen... | v31_math_gsm_symbolic | 153 | null |
<|im_user|>user<|im_middle|>Sam is checking in returned books. 2 books are 11 days overdue. The fine is $5 per day per book. The library waives 25% of the fine for a loyal patron. What is the total fine in dollars?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and en... | I need to find the total fine for Sam's overdue books.
**Step 1: Calculate the total fine before waiver**
- Number of books: 2
- Days overdue: 11 days
- Fine per day per book: $5
Total fine before waiver = 2 books × 11 days × $5/day/book
Total fine before waiver = $110
**Step 2: Calculate the waiver amount**
- Waive... | v31_math_gsm_symbolic | 83 | null |
<|im_user|>user<|im_middle|>Quinn teaches a class of 30 students. Each student needs 2 pencils, 2 notebooks, and 2 erasers. How many supplies in total does Quinn need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final n... | I need to find the total number of supplies Quinn needs to order.
**Step 1: Find the number of supplies per student**
Each student needs:
- 2 pencils
- 2 notebooks
- 2 erasers
Supplies per student = 2 + 2 + 2 = 6 supplies
**Step 2: Find total supplies for all students**
Total supplies = 30 students × 6 supplies per ... | v31_math_gsm_symbolic | 180 | null |
<|im_user|>user<|im_middle|>Ethan grows peppers in a garden with 5 rows. Each row has 17 plants, and each plant yields 5 peppers. How many peppers does Ethan harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final nu... | I need to find the total number of peppers Ethan harvests.
**Step 1: Find the total number of pepper plants**
- Number of rows: 5
- Plants per row: 17
- Total plants = 5 × 17 = 85 plants
**Step 2: Find the total number of peppers**
- Plants: 85
- Peppers per plant: 5
- Total peppers = 85 × 5 = 425 peppers
#### 425<|... | v31_math_gsm_symbolic | 425 | null |
<|im_user|>user<|im_middle|>Paul has 200 marbles. They give 25% of the marbles to a friend. The friend then gives 50% of THOSE marbles to a sibling. How many marbles does the sibling receive after they redistribute? The sibling later gives 50% to a cousin; how many marbles does the cousin receive?
Solve step by step a... | I need to find how many marbles the cousin receives after all the redistributions.
**Step 1: Paul gives 25% of marbles to a friend**
- Paul starts with 200 marbles
- 25% of 200 = 0.25 × 200 = 50 marbles
- The friend receives 50 marbles
**Step 2: The friend gives 50% of those marbles to a sibling**
- Friend has 50 mar... | v31_math_gsm_symbolic | 12 | null |
<|im_user|>user<|im_middle|>Lily has 400 marbles. They give 15% of the marbles to a friend. How many marbles does Lily give away? The shop is 66 blocks from the bus stop.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric... | I need to find how many marbles Lily gives away.
Step 1: Identify the given information
- Lily has 400 marbles
- She gives away 15% of them
- The information about the shop being 66 blocks from the bus stop is irrelevant to this problem
Step 2: Calculate 15% of 400
To find 15% of 400, I multiply: 400 × 0.15 = 60
Alt... | v31_math_gsm_symbolic | 60 | null |
<|im_user|>user<|im_middle|>Diana grows zucchini in a garden with 7 rows. Each row has 13 plants, and each plant yields 5 zucchini. How many zucchini does Diana harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final... | I need to find the total number of zucchini Diana harvests.
**Step 1: Find the total number of plants**
- Number of rows: 7
- Plants per row: 13
- Total plants = 7 × 13 = 91
**Step 2: Find the total number of zucchini**
- Zucchini per plant: 5
- Total zucchini = 91 × 5 = 455
#### 455<|im_end|> | v31_math_gsm_symbolic | 455 | null |
<|im_user|>user<|im_middle|>Diana is checking in returned books. 4 books are 10 days overdue. The fine is $2 per day per book. The library waives 10% of the fine for a loyal patron. What is the total fine in dollars?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find the total fine for Diana's overdue books.
**Step 1: Calculate the base fine per book**
- Fine per day: $2
- Days overdue: 10
- Fine per book: $2 × 10 = $20
**Step 2: Calculate the total base fine for all books**
- Number of books: 4
- Total base fine: $20 × 4 = $80
**Step 3: Apply the loyal patron dis... | v31_math_gsm_symbolic | 72 | null |
<|im_user|>user<|im_middle|>Henry grows tomatoes in a garden with 5 rows. Each row has 10 plants, and each plant yields 4 tomatoes. Of the harvest, 15% are damaged and discarded. How many tomatoes does Henry harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by ... | I need to find the total number of tomatoes Henry harvests, accounting for the damaged ones that are discarded.
**Step 1: Calculate total plants**
- 5 rows × 10 plants per row = 50 plants
**Step 2: Calculate total tomatoes before damage**
- 50 plants × 4 tomatoes per plant = 200 tomatoes
**Step 3: Calculate damaged ... | v31_math_gsm_symbolic | 170 | null |
<|im_user|>user<|im_middle|>Kevin has 1000 marbles. They give 30% of the marbles to a friend. How many marbles does Kevin give away? The cashier mentions they've worked there for 72 years.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is... | I need to find how many marbles Kevin gives away.
Step 1: Identify the relevant information.
- Kevin has 1000 marbles
- Kevin gives 30% of the marbles to a friend
- The cashier's 72 years of work is irrelevant information
Step 2: Calculate 30% of 1000.
30% = 30/100 = 0.30
Step 3: Multiply the total marbles by the pe... | v31_math_gsm_symbolic | 300 | null |
<|im_user|>user<|im_middle|>Alex can pack 20 envelopes per hour, and Hannah can pack 20 envelopes per hour. Working together for 8 hours, how many envelopes do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric... | I need to find how many envelopes Alex and Hannah pack together in 8 hours.
**Step 1: Find Alex's rate**
Alex packs 20 envelopes per hour.
**Step 2: Find Hannah's rate**
Hannah packs 20 envelopes per hour.
**Step 3: Find their combined rate**
Combined rate = 20 + 20 = 40 envelopes per hour
**Step 4: Calculate total... | v31_math_gsm_symbolic | 320 | null |
<|im_user|>user<|im_middle|>Sophia teaches a class of 30 students. Each student needs 4 pencils, 2 notebooks, and 1 erasers. They also order an extra 10% as spares. How many supplies in total does Sophia need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step an... | I need to find the total supplies Sophia needs to order, including the 10% spare.
## Step 1: Calculate supplies per student
- Pencils: 4
- Notebooks: 2
- Erasers: 1
- **Total per student: 4 + 2 + 1 = 7 supplies**
## Step 2: Calculate base supplies for all students
- Total students: 30
- **Base supplies: 30 × 7 = 210 ... | v31_math_gsm_symbolic | 231 | null |
<|im_user|>user<|im_middle|>Felix teaches a class of 24 students. Each student needs 3 pencils, 3 notebooks, and 2 erasers. How many supplies in total does Felix need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final n... | I need to find the total number of supplies Felix needs to order.
## Step 1: Calculate supplies per student
Each student needs:
- Pencils: 3
- Notebooks: 3
- Erasers: 2
Supplies per student = 3 + 3 + 2 = **8 supplies**
## Step 2: Calculate total supplies for all students
Total students = 24
Total supplies = 24 × 8 ... | v31_math_gsm_symbolic | 192 | null |
<|im_user|>user<|im_middle|>Rachel runs a bakery that produces 100 muffins per day. Over 6 days, the bakery has standing orders for 77 muffins per day. After fulfilling orders, 7 muffins per day are donated to a shelter. Each day, 8 muffins are burned and thrown away. How many extra muffins are left over after 6 days?
... | I need to find how many extra muffins are left over after 6 days.
**Step 1: Calculate daily muffin production**
- Muffins produced per day: 100
**Step 2: Calculate daily muffin usage/distribution**
- Standing orders fulfilled: 77
- Donated to shelter: 7
- Burned and thrown away: 8
Total muffins used per day = 77 + 7... | v31_math_gsm_symbolic | 48 | null |
<|im_user|>user<|im_middle|>Iris can pack 20 boxes per hour, and Olivia can pack 35 boxes per hour. Working together for 3 hours, how many boxes do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|im... | I need to find how many boxes Iris and Olivia pack together in 3 hours.
**Step 1: Find Iris's rate and total boxes**
Iris packs 20 boxes per hour.
**Step 2: Find Olivia's rate and total boxes**
Olivia packs 35 boxes per hour.
**Step 3: Find their combined rate**
Combined rate = 20 + 35 = 55 boxes per hour
**Step 4:... | v31_math_gsm_symbolic | 165 | null |
<|im_user|>user<|im_middle|>George grows cucumbers in a garden with 11 rows. Each row has 8 plants, and each plant yields 3 cucumbers. Of the harvest, 15% are damaged and discarded. A neighbor gives George 4 more rows of the same crop, and the same percentage are discarded. How many cucumbers does George harvest in tot... | I need to find the total cucumbers George harvests after receiving more rows from his neighbor.
**Step 1: Calculate George's original garden**
- Rows: 11
- Plants per row: 8
- Total plants: 11 × 8 = 88 plants
- Cucumbers per plant: 3
- Total cucumbers before discard: 88 × 3 = 264 cucumbers
**Step 2: Apply 15% discard... | v31_math_gsm_symbolic | 307 | null |
<|im_user|>user<|im_middle|>Carla has 800 marbles. They give 10% of the marbles to a friend. The friend then gives 10% of THOSE marbles to a sibling. How many marbles does the sibling receive after they redistribute? The sibling later gives 25% to a cousin; how many marbles does the cousin receive?
Solve step by step ... | I need to find how many marbles the cousin receives after the redistributions.
**Step 1: Find how many marbles Carla gives to the friend**
Carla gives 10% of 800 marbles to a friend.
10% of 800 = 0.10 × 800 = 80 marbles
**Step 2: Find how many marbles the friend gives to the sibling**
The friend gives 10% of those 80... | v31_math_gsm_symbolic | 2 | null |
<|im_user|>user<|im_middle|>Carla drives across the country. They first travels at 50 mph for 5 hours, then travels at 60 mph for 4 hours. What is the total distance in miles that Carla drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where... | I need to find the total distance Carla drives across two segments of the trip.
**Step 1: Calculate distance for the first segment**
- Speed: 50 mph
- Time: 5 hours
- Distance = speed × time = 50 × 5 = 250 miles
**Step 2: Calculate distance for the second segment**
- Speed: 60 mph
- Time: 4 hours
- Distance = speed ×... | v31_math_gsm_symbolic | 490 | null |
<|im_user|>user<|im_middle|>Lily is checking in returned books. 3 books are 10 days overdue. The fine is $2 per day per book. The library waives 25% of the fine for a loyal patron. What is the total fine in dollars?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and e... | I need to find the total fine for Lily's overdue books.
**Step 1: Calculate the total fine before waiver**
- Number of books: 3
- Days overdue per book: 10
- Fine per day per book: $2
Fine per book = 10 days × $2/day = $20
Total fine for 3 books = 3 × $20 = $60
**Step 2: Apply the 25% waiver**
- The library waives ... | v31_math_gsm_symbolic | 45 | null |
<|im_user|>user<|im_middle|>Quinn goes to the convenience store with $200. They buy 3 oranges at $5 each, 5 books at $10 each, and 1 cupcakes at $12 each (today the books are 10% off). There is a 8% sales tax on the discounted subtotal. How much money does Quinn have left? After paying, Quinn also receives a $7 gift ca... | I need to find how much money Quinn has left after all transactions.
**Step 1: Calculate cost of oranges**
3 oranges × $5 = $15
**Step 2: Calculate cost of books (with 10% discount)**
Original price: 5 books × $10 = $50
Discount: $50 × 0.10 = $5
Discounted price: $50 - $5 = $45
**Step 3: Calculate cost of cupcake**
... | v31_math_gsm_symbolic | 130 | null |
<|im_user|>user<|im_middle|>Noah drives across the country. They first travels at 50 mph for 4 hours, then travels at 40 mph for 5 hours. What is the total distance in miles that Noah drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N... | I need to find the total distance Noah drives across the country.
**Step 1: Calculate distance for the first part of the trip**
- Speed = 50 mph
- Time = 4 hours
- Distance = speed × time = 50 × 4 = 200 miles
**Step 2: Calculate distance for the second part of the trip**
- Speed = 40 mph
- Time = 5 hours
- Distance =... | v31_math_gsm_symbolic | 400 | null |
<|im_user|>user<|im_middle|>David can pack 25 labels per hour, and Julia can pack 25 labels per hour. A third worker Fiona packs 10 labels per hour. Working together for 6 hours, how many labels do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with... | I need to find the total labels packed by David, Julia, and Fiona working together for 6 hours.
**Step 1: Find each person's packing rate**
- David: 25 labels per hour
- Julia: 25 labels per hour
- Fiona: 10 labels per hour
**Step 2: Find their combined rate**
Combined rate = 25 + 25 + 10 = 60 labels per hour
**Step... | v31_math_gsm_symbolic | 360 | null |
<|im_user|>user<|im_middle|>Carla can pack 20 envelopes per hour, and Noah can pack 20 envelopes per hour. Working together for 6 hours, how many envelopes do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric ... | I need to find how many envelopes Carla and Noah pack together in 6 hours.
**Step 1: Find Carla's rate**
Carla packs 20 envelopes per hour.
**Step 2: Find Noah's rate**
Noah packs 20 envelopes per hour.
**Step 3: Find their combined rate**
Working together: 20 + 20 = 40 envelopes per hour
**Step 4: Calculate total ... | v31_math_gsm_symbolic | 240 | null |
<|im_user|>user<|im_middle|>Lily runs a bakery that produces 60 tarts per day. Over 3 days, the bakery has standing orders for 40 tarts per day. How many extra tarts are left over after 3 days?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where... | I need to find how many extra tarts are left over after 3 days.
**Step 1: Calculate total tarts produced in 3 days**
- Daily production: 60 tarts
- Total production: 60 × 3 = 180 tarts
**Step 2: Calculate total tarts needed for standing orders in 3 days**
- Daily standing orders: 40 tarts
- Total standing orders: 40 ... | v31_math_gsm_symbolic | 60 | null |
<|im_user|>user<|im_middle|>Liam drives across the country. They first travels at 60 mph for 4 hours, then travels at 70 mph for 5 hours. What is the total distance in miles that Liam drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N... | I need to find the total distance Liam drives across two segments of the trip.
**Step 1: Calculate distance for the first segment**
- Speed: 60 mph
- Time: 4 hours
- Distance = speed × time = 60 × 4 = 240 miles
**Step 2: Calculate distance for the second segment**
- Speed: 70 mph
- Time: 5 hours
- Distance = speed × ... | v31_math_gsm_symbolic | 590 | null |
<|im_user|>user<|im_middle|>Iris is checking in returned books. 5 books are 5 days overdue. The fine is $2 per day per book. The library waives 10% of the fine for a loyal patron. 0 of the books are also damaged, with a replacement fee of $0 each. What is the total fine in dollars?
Solve step by step and end with '###... | I need to find the total fine for Iris's returned books.
**Step 1: Calculate the base overdue fine**
- Number of books: 5
- Days overdue per book: 5
- Fine per day per book: $2
Base fine = 5 books × 5 days × $2/day/book = $50
**Step 2: Apply the loyal patron discount**
- The library waives 10% of the fine
- So Iris ... | v31_math_gsm_symbolic | 45 | null |
<|im_user|>user<|im_middle|>Kara runs a bakery that produces 150 loaves per day. Over 6 days, the bakery has standing orders for 117 loaves per day. How many extra loaves are left over after 6 days?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' ... | I need to find how many extra loaves are left over after 6 days.
**Step 1: Calculate total loaves produced in 6 days**
Total production = 150 loaves/day × 6 days = 900 loaves
**Step 2: Calculate total standing orders for 6 days**
Total orders = 117 loaves/day × 6 days = 702 loaves
**Step 3: Calculate leftover loaves... | v31_math_gsm_symbolic | 198 | null |
<|im_user|>user<|im_middle|>Grace can pack 25 boxes per hour, and Chris can pack 20 boxes per hour. Working together for 4 hours, how many boxes do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|im... | I need to find how many boxes Grace and Chris pack together in 4 hours.
**Step 1: Find Grace's rate and total boxes**
Grace packs 25 boxes per hour.
In 4 hours, Grace packs: 25 × 4 = 100 boxes
**Step 2: Find Chris's rate and total boxes**
Chris packs 20 boxes per hour.
In 4 hours, Chris packs: 20 × 4 = 80 boxes
**St... | v31_math_gsm_symbolic | 180 | null |
<|im_user|>user<|im_middle|>Mason is checking in returned books. 4 books are 3 days overdue. The fine is $1 per day per book. What is the total fine in dollars?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|... | I need to find the total fine for the overdue books.
Step 1: Identify the given information
- Number of books: 4
- Days overdue per book: 3 days
- Fine rate: $1 per day per book
Step 2: Calculate the total days of fines
Total days of fines = 4 books × 3 days = 12 book-days
Step 3: Calculate the total fine
Total fine... | v31_math_gsm_symbolic | 12 | null |
<|im_user|>user<|im_middle|>Paul drives across the country. They first travels at 70 mph for 3 hours, then travels at 70 mph for 3 hours, then travels at 40 mph for 4 hours. What is the total distance in miles that Paul drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step b... | I need to find the total distance Paul drives across three segments of the trip.
**Step 1: Calculate distance for the first segment**
- Speed: 70 mph
- Time: 3 hours
- Distance = 70 × 3 = 210 miles
**Step 2: Calculate distance for the second segment**
- Speed: 70 mph
- Time: 3 hours
- Distance = 70 × 3 = 210 miles
*... | v31_math_gsm_symbolic | 580 | null |
<|im_user|>user<|im_middle|>Alex grows cucumbers in a garden with 10 rows. Each row has 18 plants, and each plant yields 6 cucumbers. How many cucumbers does Alex harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the fin... | I need to find the total number of cucumbers Alex harvests.
**Step 1: Find the total number of plants**
- Number of rows: 10
- Plants per row: 18
- Total plants = 10 × 18 = 180 plants
**Step 2: Find the total number of cucumbers**
- Cucumbers per plant: 6
- Total cucumbers = 180 × 6 = 1080 cucumbers
#### 1080<|im_en... | v31_math_gsm_symbolic | 1080 | null |
<|im_user|>user<|im_middle|>Ryan runs a bakery that produces 120 tarts per day. Over 5 days, the bakery has standing orders for 60 tarts per day. After fulfilling orders, 5 tarts per day are donated to a shelter. How many extra tarts are left over after 5 days?
Solve step by step and end with '#### N' where N is the f... | I need to find how many extra tarts are left over after 5 days.
**Step 1: Calculate total tarts produced in 5 days**
Total production = 120 tarts/day × 5 days = 600 tarts
**Step 2: Calculate total tarts used for standing orders**
Standing orders = 60 tarts/day × 5 days = 300 tarts
**Step 3: Calculate total tarts don... | v31_math_gsm_symbolic | 275 | null |
<|im_user|>user<|im_middle|>Kara grows zucchini in a garden with 4 rows. Each row has 8 plants, and each plant yields 7 zucchini. Of the harvest, 10% are damaged and discarded. A neighbor gives Kara 3 more rows of the same crop, and the same percentage are discarded. How many zucchini does Kara harvest in total?
Solve... | I need to find the total zucchini Kara harvests from her garden plus the neighbor's gift, after discarding damaged ones.
**Step 1: Calculate Kara's original garden**
- Rows: 4
- Plants per row: 8
- Total plants: 4 × 8 = 32 plants
- Zucchini per plant: 7
- Total zucchini before discarding: 32 × 7 = 224 zucchini
**Step... | v31_math_gsm_symbolic | 354 | null |
<|im_user|>user<|im_middle|>Rachel teaches a class of 25 students. Each student needs 3 pencils, 2 notebooks, and 1 erasers. How many supplies in total does Rachel need to order? The shop is 2 blocks from the bus stop.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step an... | I need to find the total supplies Rachel needs to order.
First, let me identify what supplies each student needs:
- 3 pencils
- 2 notebooks
- 1 eraser
Supplies per student = 3 + 2 + 1 = 6 supplies
Total students = 25
Total supplies needed = 25 × 6 = 150
Note: The information "The shop is 2 blocks from the bus stop... | v31_math_gsm_symbolic | 150 | null |
<|im_user|>user<|im_middle|>Rachel drives across the country. They first travels at 60 mph for 5 hours, then travels at 60 mph for 4 hours, then travels at 70 mph for 5 hours. What is the total distance in miles that Rachel drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve st... | I need to find the total distance Rachel drives across three segments of her trip.
**Step 1: Calculate distance for the first segment**
- Speed: 60 mph
- Time: 5 hours
- Distance = 60 × 5 = 300 miles
**Step 2: Calculate distance for the second segment**
- Speed: 60 mph
- Time: 4 hours
- Distance = 60 × 4 = 240 miles
... | v31_math_gsm_symbolic | 890 | null |
<|im_user|>user<|im_middle|>Sophia teaches a class of 18 students. Each student needs 2 pencils, 1 notebooks, and 1 erasers. How many supplies in total does Sophia need to order? There are 61 other customers in line.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find the total supplies Sophia needs to order.
First, let me identify what each student needs:
- 2 pencils
- 1 notebook
- 1 eraser
Supplies per student = 2 + 1 + 1 = 4 supplies
Number of students = 18
Total supplies Sophia needs to order = 18 × 4 = 72 supplies
The information about "61 other customers in... | v31_math_gsm_symbolic | 72 | null |
<|im_user|>user<|im_middle|>Alex can pack 30 flyers per hour, and Lily can pack 25 flyers per hour. Working together for 8 hours, how many flyers do they pack?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|i... | I need to find how many flyers Alex and Lily pack together in 8 hours.
**Step 1: Find Alex's rate and total**
- Alex packs 30 flyers per hour
- In 8 hours: 30 × 8 = 240 flyers
**Step 2: Find Lily's rate and total**
- Lily packs 25 flyers per hour
- In 8 hours: 25 × 8 = 200 flyers
**Step 3: Find their combined rate a... | v31_math_gsm_symbolic | 440 | null |
<|im_user|>user<|im_middle|>Rachel grows cucumbers in a garden with 10 rows. Each row has 8 plants, and each plant yields 6 cucumbers. How many cucumbers does Rachel harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the ... | I need to find the total number of cucumbers Rachel harvests.
**Step 1: Find the total number of plants**
- Number of rows: 10
- Plants per row: 8
- Total plants = 10 × 8 = 80 plants
**Step 2: Find the total number of cucumbers**
- Cucumbers per plant: 6
- Total cucumbers = 80 × 6 = 480 cucumbers
#### 480<|im_end|> | v31_math_gsm_symbolic | 480 | null |
<|im_user|>user<|im_middle|>Piper can pack 25 flyers per hour, and Jake can pack 15 flyers per hour. A third worker Tyler packs 15 flyers per hour. Working together for 5 hours, They each take a 20-minute break during the shift, during which no packing happens. How many flyers do they pack?
Solve step by step and end ... | I need to find the total flyers packed by Piper, Jake, and Tyler working together for 5 hours with a 20-minute break.
## Step 1: Determine effective working time
- Total shift: 5 hours = 300 minutes
- Break time: 20 minutes
- Working time: 300 - 20 = 280 minutes = 280/60 hours = 14/3 hours
## Step 2: Calculate combin... | v31_math_gsm_symbolic | 255 | null |
<|im_user|>user<|im_middle|>Iris drives across the country. They first travels at 40 mph for 3 hours, then travels at 40 mph for 4 hours. After a short break they continue at 55 mph for 3 more hours. What is the total distance in miles that Iris drives?
Solve step by step and end with '#### N' where N is the final int... | I need to find the total distance Iris drives across three segments of their trip.
**Step 1: Calculate distance for the first segment**
- Speed: 40 mph
- Time: 3 hours
- Distance = 40 × 3 = 120 miles
**Step 2: Calculate distance for the second segment**
- Speed: 40 mph
- Time: 4 hours
- Distance = 40 × 4 = 160 miles
... | v31_math_gsm_symbolic | 445 | null |
<|im_user|>user<|im_middle|>Olivia teaches a class of 25 students. Each student needs 3 pencils, 2 notebooks, and 1 erasers. How many supplies in total does Olivia need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final... | I need to find the total number of supplies Olivia needs to order for her class.
**Step 1: Calculate supplies per student**
- Pencils: 3
- Notebooks: 2
- Erasers: 1
Supplies per student = 3 + 2 + 1 = 6 supplies
**Step 2: Calculate total supplies for all students**
Total students = 25
Total supplies = 25 × 6 = 150
... | v31_math_gsm_symbolic | 150 | null |
<|im_user|>user<|im_middle|>Carla grows cucumbers in a garden with 5 rows. Each row has 9 plants, and each plant yields 8 cucumbers. Of the harvest, 20% are damaged and discarded. How many cucumbers does Carla harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step b... | I need to find the total number of cucumbers Carla harvests, accounting for the 20% that are damaged and discarded.
**Step 1: Calculate total plants**
- 5 rows × 9 plants per row = 45 plants
**Step 2: Calculate total cucumbers before damage**
- 45 plants × 8 cucumbers per plant = 360 cucumbers
**Step 3: Calculate un... | v31_math_gsm_symbolic | 288 | null |
<|im_user|>user<|im_middle|>Liam has 400 marbles. They give 15% of the marbles to a friend. The friend then gives 25% of THOSE marbles to a sibling. How many marbles does the sibling receive after they redistribute? The sibling later gives 10% to a cousin; how many marbles does the cousin receive?
Solve step by step a... | I need to find how many marbles the cousin receives after a series of redistributions.
**Step 1: Liam gives 15% of marbles to a friend**
- Liam starts with 400 marbles
- Friend receives: 400 × 0.15 = 60 marbles
**Step 2: The friend gives 25% of those marbles to a sibling**
- The friend has 60 marbles
- Sibling receiv... | v31_math_gsm_symbolic | 1 | null |
<|im_user|>user<|im_middle|>Tyler has 400 marbles. They give 25% of the marbles to a friend. The friend then gives 50% of THOSE marbles to a sibling. How many marbles does the sibling receive?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where ... | I need to find how many marbles the sibling receives, working step by step.
**Step 1: Find how many marbles Tyler gives to the friend**
Tyler has 400 marbles and gives 25% to a friend.
Marbles to friend = 400 × 25% = 400 × 0.25 = 100 marbles
**Step 2: Find how many marbles the friend gives to the sibling**
The fri... | v31_math_gsm_symbolic | 50 | null |
<|im_user|>user<|im_middle|>David runs a bakery that produces 100 cakes per day. Over 3 days, the bakery has standing orders for 66 cakes per day. How many extra cakes are left over after 3 days?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' whe... | I need to find how many extra cakes are left over after 3 days.
**Step 1: Calculate total cakes produced over 3 days**
- Cakes per day: 100
- Total produced: 100 × 3 = 300 cakes
**Step 2: Calculate total standing orders over 3 days**
- Standing orders per day: 66
- Total orders: 66 × 3 = 198 cakes
**Step 3: Calculat... | v31_math_gsm_symbolic | 102 | null |
<|im_user|>user<|im_middle|>Carla goes to the farmers' market with $100. They buy 6 stickers at $3 each, 3 postcards at $8 each, and 3 cookies at $6 each (today the postcards are 20% off). There is a 5% sales tax on the discounted subtotal. How much money does Carla have left?
Solve step by step and end with '#### N' ... | I need to find how much money Carla has left after her purchases.
**Step 1: Calculate the cost of stickers**
6 stickers × $3 each = $18
**Step 2: Calculate the cost of postcards (with 20% off)**
Original price: 3 postcards × $8 each = $24
Discount: $24 × 0.20 = $4.80
Discounted price: $24 − $4.80 = $19.20
**Step 3: ... | v31_math_gsm_symbolic | 42 | null |
<|im_user|>user<|im_middle|>Oscar teaches a class of 18 students. Each student needs 5 pencils, 2 notebooks, and 1 erasers. They also order an extra 25% as spares. How many supplies in total does Oscar need to order?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and ... | I need to find the total supplies Oscar needs to order, including the 25% spares.
## Step 1: Calculate base supplies per student
Each student needs:
- Pencils: 5
- Notebooks: 2
- Erasers: 1
Base supplies per student: 5 + 2 + 1 = 8
## Step 2: Calculate total base supplies for all students
Total base supplies: 18 stud... | v31_math_gsm_symbolic | 180 | null |
<|im_user|>user<|im_middle|>Ben runs a bakery that produces 80 pies per day. Over 3 days, the bakery has standing orders for 49 pies per day. After fulfilling orders, 10 pies per day are donated to a shelter. How many extra pies are left over after 3 days?
Solve step by step and end with '#### N' where N is the final ... | I need to find how many extra pies are left over after 3 days.
**Step 1: Calculate total pies produced over 3 days**
80 pies/day × 3 days = 240 pies
**Step 2: Calculate total standing orders over 3 days**
49 pies/day × 3 days = 147 pies
**Step 3: Calculate pies available after fulfilling orders**
240 − 147 = 93 pies... | v31_math_gsm_symbolic | 63 | null |
<|im_user|>user<|im_middle|>Noah has 1000 marbles. They give 20% of the marbles to a friend. The friend then gives 20% of THOSE marbles to a sibling. How many marbles does the sibling receive after they redistribute? The sibling later gives 10% to a cousin; how many marbles does the cousin receive?
Solve step by step ... | I need to find how many marbles the cousin receives after the redistributions.
**Step 1: Noah gives 20% to a friend**
Noah starts with 1000 marbles.
Friend receives: 1000 × 0.20 = 200 marbles
**Step 2: Friend gives 20% to sibling**
Sibling receives: 200 × 0.20 = 40 marbles
**Step 3: Sibling gives 10% to cousin**
Cou... | v31_math_gsm_symbolic | 4 | null |
<|im_user|>user<|im_middle|>Carla can pack 40 boxes per hour, and Alex can pack 15 boxes per hour. A third worker Alice packs 15 boxes per hour. Working together for 8 hours, They each take a 20-minute break during the shift, during which no packing happens. How many boxes do they pack?
Solve step by step and end with... | I need to find how many boxes Carla, Alex, and Alice pack together in 8 hours with a 20-minute break.
## Step 1: Calculate Actual Working Time
- Total shift: 8 hours = 480 minutes
- Break time: 20 minutes
- Working time: 480 - 20 = 460 minutes = 460/60 hours = 23/3 hours
## Step 2: Calculate Combined Packing Rate
- C... | v31_math_gsm_symbolic | 540 | null |
<|im_user|>user<|im_middle|>Piper has 400 marbles. They give 40% of the marbles to a friend. How many marbles does Piper give away?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final numeric answer.<|im_end|><|im_assistant|>assis... | I need to find 40% of 400 marbles.
Step 1: Convert the percentage to a decimal.
40% = 40/100 = 0.40
Step 2: Multiply the total marbles by the decimal.
400 × 0.40 = 160
Alternatively, I can calculate:
40% of 400 = (40/100) × 400 = (40 × 400)/100 = 16000/100 = 160
Piper gives away 160 marbles.
#### 160<|im_end|> | v31_math_gsm_symbolic | 160 | null |
<|im_user|>user<|im_middle|>Chris grows peppers in a garden with 11 rows. Each row has 12 plants, and each plant yields 6 peppers. How many peppers does Chris harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final n... | I need to find the total number of peppers Chris harvests.
**Step 1: Find the total number of pepper plants**
Chris has 11 rows with 12 plants each.
Total plants = 11 × 12 = 132 plants
**Step 2: Find the total number of peppers**
Each plant yields 6 peppers.
Total peppers = 132 × 6 = 792 peppers
#### 792<|im_end|> | v31_math_gsm_symbolic | 792 | null |
<|im_user|>user<|im_middle|>Bella teaches a class of 25 students. Each student needs 4 pencils, 1 notebooks, and 2 erasers. They also order an extra 25% as spares. On the way to school, 3 items get crushed and have to be discarded. How many supplies in total does Bella need to order?
Solve step by step and end with '#... | I need to find the total supplies Bella needs to order, accounting for spares and damaged items.
## Step 1: Calculate base supplies per student
Each student needs:
- 4 pencils
- 1 notebook
- 2 erasers
Total per student: 4 + 1 + 2 = 7 items
## Step 2: Calculate base supplies for all students
For 25 students: 25 × 7 =... | v31_math_gsm_symbolic | 215 | null |
<|im_user|>user<|im_middle|>David drives across the country. They first travels at 70 mph for 4 hours, then travels at 50 mph for 3 hours. What is the total distance in miles that David drives?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where... | I need to find the total distance David drives across two segments of the trip.
**Step 1: Calculate distance for the first segment**
- Speed = 70 mph
- Time = 4 hours
- Distance = 70 × 4 = 280 miles
**Step 2: Calculate distance for the second segment**
- Speed = 50 mph
- Time = 3 hours
- Distance = 50 × 3 = 150 miles... | v31_math_gsm_symbolic | 430 | null |
<|im_user|>user<|im_middle|>Sam is checking in returned books. 2 books are 6 days overdue. The fine is $5 per day per book. The library waives 10% of the fine for a loyal patron. 1 of the books are also damaged, with a replacement fee of $10 each. What is the total fine in dollars?
Solve step by step and end with '###... | I need to find the total fine for Sam's returned books.
**Step 1: Calculate the overdue fine**
- Number of overdue books: 2
- Days overdue: 6
- Fine per day per book: $5
Overdue fine = 2 × 6 × $5 = $60
**Step 2: Apply the loyal patron waiver**
- Waiver: 10%
Amount waived = $60 × 0.10 = $6
Adjusted overdue fine = $... | v31_math_gsm_symbolic | 64 | null |
<|im_user|>user<|im_middle|>Olivia grows onions in a garden with 5 rows. Each row has 10 plants, and each plant yields 8 onions. Of the harvest, 15% are damaged and discarded. A neighbor gives Olivia 4 more rows of the same crop, and the same percentage are discarded. How many onions does Olivia harvest in total?
Solv... | I need to find the total onions Olivia harvests from her garden plus the neighbor's gift, after discarding damaged ones.
**Step 1: Calculate Olivia's original garden**
- Rows: 5
- Plants per row: 10
- Total plants: 5 × 10 = 50 plants
- Onions per plant: 8
- Total onions before discarding: 50 × 8 = 400 onions
**Step 2... | v31_math_gsm_symbolic | 612 | null |
<|im_user|>user<|im_middle|>Nora grows tomatoes in a garden with 4 rows. Each row has 16 plants, and each plant yields 3 tomatoes. Of the harvest, 20% are damaged and discarded. How many tomatoes does Nora harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by st... | I need to find the total number of tomatoes Nora harvests, accounting for the 20% that are damaged and discarded.
**Step 1: Calculate total number of plants**
- 4 rows × 16 plants per row = 64 plants
**Step 2: Calculate total tomatoes before damage**
- 64 plants × 3 tomatoes per plant = 192 tomatoes
**Step 3: Calcul... | v31_math_gsm_symbolic | 154 | null |
<|im_user|>user<|im_middle|>Ian grows zucchini in a garden with 6 rows. Each row has 8 plants, and each plant yields 3 zucchini. How many zucchini does Ian harvest in total?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' where N is the final nume... | I need to find the total number of zucchini Ian harvests.
**Step 1: Find the total number of plants**
- Number of rows: 6
- Plants per row: 8
- Total plants = 6 × 8 = 48 plants
**Step 2: Find the total number of zucchini**
- Zucchini per plant: 3
- Total zucchini = 48 × 3 = 144 zucchini
#### 144<|im_end|> | v31_math_gsm_symbolic | 144 | null |
<|im_user|>user<|im_middle|>David is checking in returned books. 4 books are 3 days overdue. The fine is $1 per day per book. What is the total fine in dollars? A passerby comments that they have 90 pets at home.
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end ... | I need to find the total fine for the overdue books.
Step 1: Identify the given information
- Number of books: 4
- Days overdue per book: 3 days
- Fine rate: $1 per day per book
Step 2: Calculate the total fine
Total fine = Number of books × Days overdue × Fine per day per book
Total fine = 4 × 3 × $1
Total fine = 12... | v31_math_gsm_symbolic | 12 | null |
<|im_user|>user<|im_middle|>George runs a bakery that produces 80 cakes per day. Over 3 days, the bakery has standing orders for 47 cakes per day. How many extra cakes are left over after 3 days?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' whe... | I need to find how many extra cakes are left over after 3 days.
**Step 1: Calculate total cakes produced in 3 days**
Total production = 80 cakes/day × 3 days = 240 cakes
**Step 2: Calculate total standing orders in 3 days**
Total orders = 47 cakes/day × 3 days = 141 cakes
**Step 3: Calculate leftover cakes**
Leftove... | v31_math_gsm_symbolic | 99 | null |
<|im_user|>user<|im_middle|>Mason can pack 20 labels per hour, and Carla can pack 15 labels per hour. A third worker Grace packs 15 labels per hour. Working together for 6 hours, They each take a 15-minute break during the shift, during which no packing happens. How many labels do they pack?
Solve step by step and end... | I need to find the total labels packed by Mason, Carla, and Grace working together for 6 hours with a 15-minute break.
## Step 1: Determine actual working time
- Total shift: 6 hours = 360 minutes
- Break time: 15 minutes
- Working time: 360 - 15 = 345 minutes = 5.75 hours
## Step 2: Calculate combined packing rate
-... | v31_math_gsm_symbolic | 285 | null |
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