prompt stringlengths 2 4.36k | answer stringlengths 1 47 ⌀ | id stringlengths 11 11 | category stringclasses 23
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Compute the sum of the first 8 terms of the geometric sequence with first term 9 and common ratio 2.
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. | 2295 | syn_0000000 | math_skill |
In a class, 58 students study Spanish, 49 study French, and 28 study both. How many students study Spanish or French (or both)?
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. | 79 | syn_0000001 | math_skill |
A shop has 904 items in stock. They sell 25% of them on Monday, then receive 74 new items. How many items have left the shop, plus the new arrivals (i.e. 25% of 904 plus 74)?
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 num... | 300 | syn_0000002 | math_skill |
A cornbread recipe makes 6 servings and uses 5 cups of flour, 2 cups of sugar, and 2 cups of butter. Lola wants to make 18 servings for a school bake sale. They also need to add 6 extra cups of flour for a dusting on top. The oven is preheated to 300 degrees (this doesn't change the recipe). The store sells these ingre... | 264 | syn_0000003 | math_skill |
Baker Bryn runs a small bakery with 7 staff and 59 loaves already in storage at the start of the week. They bake 30 loaves of sourdough every day for 7 days. Each day they sell 11 loaves to a wholesale partner (wholesale price is 30% LESS than the retail price of $6 per loaf) and 21 loaves to walk-in customers (at the ... | 1205 | syn_0000004 | math_skill |
Librarian Rosalind runs a reading club with 12 members; each borrowed 3 books this month. The library opens at 12:00 each day. By the deadline, 20 books were returned late, on average 3 days late, at a fine of $1 per book per day. 4 books were never returned and the library charges the borrower $25 per lost book to rep... | 310 | syn_0000005 | math_skill |
A bag contains 6 red, 8 blue, and 4 green marbles. You draw one at random. What is the probability (in whole percent, rounded down) of drawing a blue marble?
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. | 44 | syn_0000006 | math_skill |
Hunter runs an orchard with 5 rows of apple trees. Each row has 7 trees, and each tree produces 30 apples this season. 15% of all apples are lost to frost. After the frost, an additional 15% of the SURVIVING apples are spoiled by pests. Hunter saves 57 apples for the farmer's market. The remaining apples are packed int... | 647 | syn_0000007 | math_skill |
Librarian Holland runs a reading club with 21 members; each borrowed 3 books this month. The library opens at 12:00 each day. By the deadline, 6 books were returned late, on average 5 days late, at a fine of $1 per book per day. 4 books were never returned and the library charges the borrower $18 per lost book to repla... | 252 | syn_0000008 | math_skill |
Librarian Sam runs a reading club with 25 members; each borrowed 4 books this month. The library opens at 15:00 each day. By the deadline, 6 books were returned late, on average 3 days late, at a fine of $2 per book per day. 3 books were never returned and the library charges the borrower $22 per lost book to replace i... | 202 | syn_0000009 | math_skill |
Teacher Talia runs an after-school program with 4 classes. Each class has 18 students enrolled, but on Monday 1 students in each class were absent. 4 parent volunteers also stayed to help. The school district has 9 total grades, but that's not relevant here. How many people (students plus volunteers) were present at th... | 72 | syn_0000010 | math_skill |
A meeting starts at 01:43 on a 12-hour clock. It runs for 7 hours and 19 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 → 325, 11:45 → 1145).
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 ... | 902 | syn_0000011 | math_skill |
Captain Skyler's rugby team played 22 games with 6 players on the field. They won 10, drew 5, and lost 7. A win is worth 4 league points, a draw worth 2, a loss worth 0. The team also kept a clean sheet (no goals conceded) in 2 games and earns 1 extra point per clean sheet. They received 5 yellow cards across the seaso... | 42 | syn_0000012 | math_skill |
Elena runs an orchard with 9 rows of apple trees. Each row has 12 trees, and each tree produces 20 apples this season. 15% of all apples are lost to frost. After the frost, an additional 5% of the SURVIVING apples are spoiled by pests. Elena saves 149 apples for the farmer's market. The remaining apples are packed into... | 1533 | syn_0000013 | math_skill |
Morgan ran a 7-hour charity fundraiser. 20 bronze-tier donors gave $5 each, 24 silver-tier gave $30 each, and 6 gold-tier gave $75 each. A local company contributed a corporate match equal to 10% of total individual donations. The fundraiser also sold 109 raffle tickets at $5 each. The venue charges an 5% administrativ... | 1845 | syn_0000014 | math_skill |
Zelda runs an orchard with 6 rows of apple trees. Each row has 6 trees, and each tree produces 20 apples this season. 10% of all apples are lost to frost. After the frost, an additional 5% of the SURVIVING apples are spoiled by pests. Zelda saves 113 apples for the farmer's market. The remaining apples are packed into ... | 463 | syn_0000015 | math_skill |
Teacher Ophelia runs an after-school program with 5 classes. Each class has 24 students enrolled, but on Monday 4 students in each class were absent. 5 parent volunteers also stayed to help. The school district has 11 total grades, but that's not relevant here. How many people (students plus volunteers) were present at... | 105 | syn_0000016 | math_skill |
Evaluate the polynomial p(x) = 2x^2 + -1x + -14 at x = 0. Give the integer p(0).
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. | -14 | syn_0000017 | math_skill |
Contractor Ximena is building 7 brick walls using a 8-foot ladder (irrelevant to the order). Each wall needs 150 bricks to complete. The contractor wants to order an extra 75 bricks as an end-of-job safety margin. Historically, on a delivery this size, 10 bricks arrive broken and need to be replaced. Cutting bricks to ... | 1163 | syn_0000018 | math_skill |
Quincy drives at a steady speed of 72 km/h for exactly 5 hours. In the middle of the journey, they take a 20-minute break at a rest stop (during which the car is parked and not moving). How many total kilometers has Quincy driven?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve ste... | 360 | syn_0000019 | math_skill |
Captain Vera's rugby team played 23 games with 6 players on the field. They won 10, drew 1, and lost 12. A win is worth 4 league points, a draw worth 1, a loss worth 0. The team also kept a clean sheet (no goals conceded) in 7 games and earns 1 extra point per clean sheet. They received 7 yellow cards across the season... | 51 | syn_0000020 | math_skill |
Zara ran a 5-hour charity fundraiser. 23 bronze-tier donors gave $10 each, 22 silver-tier gave $30 each, and 3 gold-tier gave $150 each. A local company contributed a corporate match equal to 25% of total individual donations. The fundraiser also sold 102 raffle tickets at $7 each. The venue charges an 5% administrativ... | 2270 | syn_0000021 | math_skill |
Alex runs an orchard with 5 rows of apple trees. Each row has 9 trees, and each tree produces 20 apples this season. 10% of all apples are lost to frost. After the frost, an additional 10% of the SURVIVING apples are spoiled by pests. Alex saves 182 apples for the farmer's market. The remaining apples are packed into c... | 484 | syn_0000022 | math_skill |
If 3 units of resource A produce 53 widgets, and we have 136 units of resource A, how many widgets can be produced (rounded down to a whole number)?
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. | 2402 | syn_0000023 | math_skill |
Compute the sum of the first 8 terms of the geometric sequence with first term 5 and common ratio 3.
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. | 16400 | syn_0000024 | math_skill |
A shop has 1268 items in stock. They sell 40% of them on Monday, then receive 80 new items. How many items have left the shop, plus the new arrivals (i.e. 40% of 1268 plus 80)?
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... | 587 | syn_0000025 | math_skill |
A shop has 452 items in stock. They sell 10% of them on Monday, then receive 76 new items. How many items have left the shop, plus the new arrivals (i.e. 10% of 452 plus 76)?
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 num... | 121 | syn_0000026 | math_skill |
Kit is planning a 7-night trip with 3 other people. Kit's lodging costs $120 per night plus a 8% hotel tax (the tax applies only to Kit's lodging, not anyone else's). Meals cost $10 per day for breakfast and $40 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group costs $400, s... | 1357 | syn_0000027 | math_skill |
Drew runs an orchard with 4 rows of apple trees. Each row has 7 trees, and each tree produces 40 apples this season. 20% of all apples are lost to frost. After the frost, an additional 10% of the SURVIVING apples are spoiled by pests. Drew saves 186 apples for the farmer's market. The remaining apples are packed into c... | 601 | syn_0000028 | math_skill |
Kendra is planning a 6-night trip with 3 other people. Kendra's lodging costs $80 per night plus a 10% hotel tax (the tax applies only to Kendra's lodging, not anyone else's). Meals cost $20 per day for breakfast and $25 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group cost... | 873 | syn_0000029 | math_skill |
Sage runs an orchard with 8 rows of apple trees. Each row has 8 trees, and each tree produces 20 apples this season. 15% of all apples are lost to frost. After the frost, an additional 15% of the SURVIVING apples are spoiled by pests. Sage saves 85 apples for the farmer's market. The remaining apples are packed into cr... | 728 | syn_0000030 | math_skill |
A meeting starts at 09:10 on a 12-hour clock. It runs for 3 hours and 25 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 → 325, 11:45 → 1145).
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 ... | 1235 | syn_0000031 | math_skill |
Wendell ran a 5-hour charity fundraiser. 30 bronze-tier donors gave $10 each, 25 silver-tier gave $20 each, and 4 gold-tier gave $75 each. A local company contributed a corporate match equal to 25% of total individual donations. The fundraiser also sold 53 raffle tickets at $5 each. The venue charges an 8% administrati... | 1509 | syn_0000032 | math_skill |
Contractor Hugo is building 10 brick walls using a 8-foot ladder (irrelevant to the order). Each wall needs 150 bricks to complete. The contractor wants to order an extra 50 bricks as an end-of-job safety margin. Historically, on a delivery this size, 17 bricks arrive broken and need to be replaced. Cutting bricks to f... | 1617 | syn_0000033 | math_skill |
Let S be the sum of the digits of 134135. Compute (S * 8) minus 9.
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. | 127 | syn_0000034 | math_skill |
Soren is planning a 6-night trip with 4 other people. Soren's lodging costs $120 per night plus a 8% hotel tax (the tax applies only to Soren's lodging, not anyone else's). Meals cost $15 per day for breakfast and $30 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group costs $... | 1147 | syn_0000035 | math_skill |
Teacher Ursula runs an after-school program with 3 classes. Each class has 28 students enrolled, but on Monday 2 students in each class were absent. 3 parent volunteers also stayed to help. The school district has 9 total grades, but that's not relevant here. How many people (students plus volunteers) were present at t... | 81 | syn_0000036 | math_skill |
Kit goes to the farmers' market with $80. Their friend Zara, who is 13 years old, comes along. Kit buys 5 notebooks at $4 each, 5 oranges at $10 each (today the oranges are 25% off the listed price), and 5 tennis balls at $10 each. There is a 10% sales tax on the discounted subtotal. Zara also leaves a $8 tip from thei... | -38 | syn_0000037 | math_skill |
A chemist mixes 63 grams of solution A (at 15% solute) with 27 grams of solution B (at 50% solute). Compute the total mass of solute across both solutions in centigrams (1 centigram = 0.01 grams). Give the integer (equal to v1*p1 + v2*p2).
Solve step by step and end with '#### N' where N is the final integer answer.
... | 2295 | syn_0000038 | math_skill |
Librarian Ari runs a reading club with 22 members; each borrowed 4 books this month. The library opens at 12:00 each day. By the deadline, 17 books were returned late, on average 9 days late, at a fine of $1 per book per day. 3 books were never returned and the library charges the borrower $25 per lost book to replace ... | 378 | syn_0000039 | math_skill |
Librarian Fiona runs a reading club with 20 members; each borrowed 2 books this month. The library opens at 18:00 each day. By the deadline, 15 books were returned late, on average 7 days late, at a fine of $1 per book per day. 4 books were never returned and the library charges the borrower $25 per lost book to replac... | 305 | syn_0000040 | math_skill |
A shop has 247 items in stock. They sell 8% of them on Monday, then receive 33 new items. How many items have left the shop, plus the new arrivals (i.e. 8% of 247 plus 33)?
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 numer... | 52 | syn_0000041 | math_skill |
Librarian Briar runs a reading club with 16 members; each borrowed 5 books this month. The library opens at 12:00 each day. By the deadline, 6 books were returned late, on average 7 days late, at a fine of $1 per book per day. 7 books were never returned and the library charges the borrower $15 per lost book to replace... | 247 | syn_0000042 | math_skill |
A chemist mixes 26 grams of solution A (at 25% solute) with 27 grams of solution B (at 50% solute). Compute the total mass of solute across both solutions in centigrams (1 centigram = 0.01 grams). Give the integer (equal to v1*p1 + v2*p2).
Solve step by step and end with '#### N' where N is the final integer answer.
... | 2000 | syn_0000043 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 53 kilometers per hour. Car B starts 17 kilometers behind Car A and travels at 66 kilometers per hour. After 5 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.... | 48 | syn_0000044 | math_skill |
Dax drives east on the highway at 50 mph for 4 hours, stops at a rest area, then drives another 17 miles north to pick up a friend. From there they continue at 55 mph for 2 hours, take a second short detour of 31 miles east, then finish at 60 mph for 3 hours. The car gets 28 miles per gallon and the tank holds 12 gallo... | 19 | syn_0000045 | math_skill |
Teacher Fiona runs an after-school program with 5 classes. Each class has 28 students enrolled, but on Monday 4 students in each class were absent. 5 parent volunteers also stayed to help. The school district has 9 total grades, but that's not relevant here. How many people (students plus volunteers) were present at th... | 125 | syn_0000046 | math_skill |
Librarian Briar runs a reading club with 18 members; each borrowed 2 books this month. The library opens at 18:00 each day. By the deadline, 17 books were returned late, on average 10 days late, at a fine of $2 per book per day. 3 books were never returned and the library charges the borrower $15 per lost book to repla... | 535 | syn_0000047 | math_skill |
Captain Yael's rugby team played 14 games with 6 players on the field. They won 7, drew 2, and lost 5. A win is worth 4 league points, a draw worth 1, a loss worth 0. The team also kept a clean sheet (no goals conceded) in 4 games and earns 1 extra point per clean sheet. They received 2 yellow cards across the season; ... | 30 | syn_0000048 | math_skill |
Delphine ran a 5-hour charity fundraiser. 17 bronze-tier donors gave $10 each, 15 silver-tier gave $25 each, and 9 gold-tier gave $75 each. A local company contributed a corporate match equal to 10% of total individual donations. The fundraiser also sold 75 raffle tickets at $3 each. The venue charges an 10% administra... | 1411 | syn_0000049 | math_skill |
A meeting starts at 02:13 on a 12-hour clock. It runs for 8 hours and 46 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 → 325, 11:45 → 1145).
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 ... | 1059 | syn_0000050 | math_skill |
Zach keeps 28 chickens in a 18-meter coop. Each chicken lays 5 eggs per week. Halfway through the period, 4 chickens were lost to a predator (assume the average flock size over the period was the average of the starting and ending counts, and use that to compute total egg production). Over the full 8 weeks, the family ... | 294 | syn_0000051 | math_skill |
A triangle has base 12 cm and corresponding height 13 cm. What is its area in square centimeters? (Use the formula area = base * height / 2 and give the integer.)
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. | 78 | syn_0000052 | math_skill |
Orion runs an orchard with 5 rows of apple trees. Each row has 12 trees, and each tree produces 50 apples this season. 20% of all apples are lost to frost. After the frost, an additional 10% of the SURVIVING apples are spoiled by pests. Orion saves 114 apples for the farmer's market. The remaining apples are packed int... | 1803 | syn_0000053 | math_skill |
Soren goes to the convenience store with $150. Their friend Vesper, who is 14 years old, comes along. Soren buys 8 cupcakes at $8 each, 4 stamps at $8 each (today the stamps are 25% off the listed price), and 5 postcard books at $6 each. There is a 8% sales tax on the discounted subtotal. Vesper also leaves a $9 tip fr... | 23 | syn_0000054 | math_skill |
Captain Asher's rugby team played 17 games with 7 players on the field. They won 5, drew 4, and lost 8. A win is worth 3 league points, a draw worth 1, a loss worth 0. The team also kept a clean sheet (no goals conceded) in 2 games and earns 2 extra point per clean sheet. They received 8 yellow cards across the season;... | 17 | syn_0000055 | math_skill |
Captain Yuki's soccer team played 12 games with 6 players on the field. They won 9, drew 1, and lost 2. A win is worth 3 league points, a draw worth 1, a loss worth 0. The team also kept a clean sheet (no goals conceded) in 4 games and earns 2 extra point per clean sheet. They received 7 yellow cards across the season;... | 29 | syn_0000056 | math_skill |
Teacher Una runs an after-school program with 5 classes. Each class has 24 students enrolled, but on Monday 1 students in each class were absent. 4 parent volunteers also stayed to help. The school district has 11 total grades, but that's not relevant here. How many people (students plus volunteers) were present at the... | 119 | syn_0000057 | math_skill |
Baker Rafe runs a small bakery with 7 staff and 24 loaves already in storage at the start of the week. They bake 72 loaves of sourdough every day for 5 days. Each day they sell 13 loaves to a wholesale partner (wholesale price is 25% LESS than the retail price of $8 per loaf) and 12 loaves to walk-in customers (at the ... | 870 | syn_0000058 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 62 kilometers per hour. Car B starts 12 kilometers behind Car A and travels at 90 kilometers per hour. After 6 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.... | 156 | syn_0000059 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 73 kilometers per hour. Car B starts 13 kilometers behind Car A and travels at 95 kilometers per hour. After 2 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.... | 31 | syn_0000060 | math_skill |
Compute the sum of the first 6 terms of the geometric sequence with first term 4 and common ratio 3.
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. | 1456 | syn_0000061 | math_skill |
Baker Jovan runs a small bakery with 6 staff and 48 loaves already in storage at the start of the week. They bake 36 loaves of sourdough every day for 5 days. Each day they sell 9 loaves to a wholesale partner (wholesale price is 25% LESS than the retail price of $8 per loaf) and 12 loaves to walk-in customers (at the ... | 750 | syn_0000062 | math_skill |
Baker Ines runs a small bakery with 7 staff and 38 loaves already in storage at the start of the week. They bake 30 loaves of sourdough every day for 5 days. Each day they sell 17 loaves to a wholesale partner (wholesale price is 25% LESS than the retail price of $4 per loaf) and 20 loaves to walk-in customers (at the ... | 655 | syn_0000063 | math_skill |
If 3 units of resource A produce 81 widgets, and we have 195 units of resource A, how many widgets can be produced (rounded down to a whole number)?
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. | 5265 | syn_0000064 | math_skill |
Teacher Sigrid runs an after-school program with 5 classes. Each class has 28 students enrolled, but on Monday 4 students in each class were absent. 3 parent volunteers also stayed to help. The school district has 7 total grades, but that's not relevant here. How many people (students plus volunteers) were present at t... | 123 | syn_0000065 | math_skill |
Compute the sum of the first 7 terms of the geometric sequence with first term 8 and common ratio 3.
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. | 8744 | syn_0000066 | math_skill |
Quinn is planning a 7-night trip with 3 other people. Quinn's lodging costs $100 per night plus a 15% hotel tax (the tax applies only to Quinn's lodging, not anyone else's). Meals cost $20 per day for breakfast and $40 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group costs ... | 1275 | syn_0000067 | math_skill |
A pancakes recipe makes 8 servings and uses 3 cups of flour, 2 cups of sugar, and 2 cups of butter. Zoe wants to make 40 servings for a school bake sale. They also need to add 3 extra cups of flour for a dusting on top. The oven is preheated to 300 degrees (this doesn't change the recipe). The store sells these ingredi... | 304 | syn_0000068 | math_skill |
Zelda drives east on the highway at 50 mph for 5 hours, stops at a rest area, then drives another 22 miles north to pick up a friend. From there they continue at 55 mph for 3 hours, take a second short detour of 27 miles east, then finish at 80 mph for 1 hours. The car gets 24 miles per gallon and the tank holds 12 gal... | 22 | syn_0000069 | math_skill |
Captain Jules's soccer team played 24 games with 5 players on the field. They won 13, drew 5, and lost 6. A win is worth 4 league points, a draw worth 1, a loss worth 0. The team also kept a clean sheet (no goals conceded) in 7 games and earns 1 extra point per clean sheet. They received 4 yellow cards across the seaso... | 70 | syn_0000070 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 74 kilometers per hour. Car B starts 2 kilometers behind Car A and travels at 82 kilometers per hour. After 5 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.
... | 38 | syn_0000071 | math_skill |
Orion is planning a 8-night trip with 3 other people. Orion's lodging costs $120 per night plus a 10% hotel tax (the tax applies only to Orion's lodging, not anyone else's). Meals cost $10 per day for breakfast and $30 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group costs ... | 1451 | syn_0000072 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 73 kilometers per hour. Car B starts 3 kilometers behind Car A and travels at 85 kilometers per hour. After 6 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.
... | 69 | syn_0000073 | math_skill |
A meeting starts at 04:59 on a 12-hour clock. It runs for 10 hours and 13 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 → 325, 11:45 → 1145).
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... | 312 | syn_0000074 | math_skill |
In a class, 78 students study Spanish, 40 study French, and 13 study both. How many students study Spanish or French (or both)?
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. | 105 | syn_0000075 | math_skill |
Contractor Xander is building 4 brick walls using a 8-foot ladder (irrelevant to the order). Each wall needs 180 bricks to complete. The contractor wants to order an extra 30 bricks as an end-of-job safety margin. Historically, on a delivery this size, 23 bricks arrive broken and need to be replaced. Cutting bricks to ... | 785 | syn_0000076 | math_skill |
Winona is planning a 6-night trip with 2 other people. Winona's lodging costs $150 per night plus a 15% hotel tax (the tax applies only to Winona's lodging, not anyone else's). Meals cost $15 per day for breakfast and $40 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group cos... | 1498 | syn_0000077 | math_skill |
Parker goes to the stationery shop with $250. Their friend Ursula, who is 11 years old, comes along. Parker buys 8 tickets at $4 each, 6 cookies at $8 each (today the cookies are 10% off the listed price), and 4 apples at $10 each. There is a 5% sales tax on the discounted subtotal. Ursula also leaves a $5 tip from the... | 129 | syn_0000078 | math_skill |
Nico is planning a 8-night trip with 3 other people. Nico's lodging costs $120 per night plus a 12% hotel tax (the tax applies only to Nico's lodging, not anyone else's). Meals cost $10 per day for breakfast and $25 per day for dinner (lunch is provided by the venue). Round-trip transport for the entire group costs $50... | 1480 | syn_0000079 | math_skill |
Baker Petra runs a small bakery with 5 staff and 36 loaves already in storage at the start of the week. They bake 30 loaves of sourdough every day for 5 days. Each day they sell 17 loaves to a wholesale partner (wholesale price is 20% LESS than the retail price of $6 per loaf) and 10 loaves to walk-in customers (at the... | 708 | syn_0000080 | math_skill |
A cornbread recipe makes 8 servings and uses 2 cups of flour, 1 cups of sugar, and 2 cups of butter. Dax wants to make 24 servings for a school bake sale. They also need to add 8 extra cups of flour for a dusting on top. The oven is preheated to 450 degrees (this doesn't change the recipe). The store sells these ingred... | 184 | syn_0000081 | math_skill |
Let S be the sum of the digits of 252907. Compute (S * 6) plus 2.
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. | 152 | syn_0000082 | math_skill |
A shop has 1298 items in stock. They sell 10% of them on Monday, then receive 52 new items. How many items have left the shop, plus the new arrivals (i.e. 10% of 1298 plus 52)?
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... | 181 | syn_0000083 | math_skill |
Silas runs an orchard with 6 rows of apple trees. Each row has 8 trees, and each tree produces 25 apples this season. 20% of all apples are lost to frost. After the frost, an additional 5% of the SURVIVING apples are spoiled by pests. Silas saves 86 apples for the farmer's market. The remaining apples are packed into c... | 694 | syn_0000084 | math_skill |
Solve the system:
3 x + 6 y = -12
4 x + 6 y = -16
Then compute x * y as an integer.
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. | 0 | syn_0000085 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 44 kilometers per hour. Car B starts 11 kilometers behind Car A and travels at 52 kilometers per hour. After 5 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.... | 29 | syn_0000086 | math_skill |
Taylor ran a 7-hour charity fundraiser. 21 bronze-tier donors gave $5 each, 9 silver-tier gave $30 each, and 6 gold-tier gave $150 each. A local company contributed a corporate match equal to 25% of total individual donations. The fundraiser also sold 84 raffle tickets at $3 each. The venue charges an 8% administrative... | 1698 | syn_0000087 | math_skill |
Elena keeps 34 chickens in a 15-meter coop. Each chicken lays 6 eggs per week. Halfway through the period, 1 chickens were lost to a predator (assume the average flock size over the period was the average of the starting and ending counts, and use that to compute total egg production). Over the full 4 weeks, the family... | 196 | syn_0000088 | math_skill |
Ximena drives east on the highway at 70 mph for 5 hours, stops at a rest area, then drives another 33 miles north to pick up a friend. From there they continue at 45 mph for 4 hours, take a second short detour of 31 miles east, then finish at 80 mph for 3 hours. The car gets 24 miles per gallon and the tank holds 10 ga... | 34 | syn_0000089 | math_skill |
Sam keeps 31 chickens in a 12-meter coop. Each chicken lays 7 eggs per week. Halfway through the period, 1 chickens were lost to a predator (assume the average flock size over the period was the average of the starting and ending counts, and use that to compute total egg production). Over the full 4 weeks, the family a... | 288 | syn_0000090 | math_skill |
Two cars start traveling east on the same highway. Car A travels at 58 kilometers per hour. Car B starts 15 kilometers behind Car A and travels at 70 kilometers per hour. After 7 hours of driving, how many kilometers ahead of Car A is Car B?
Solve step by step and end with '#### N' where N is the final integer answer.... | 69 | syn_0000091 | math_skill |
Vivienne keeps 28 chickens in a 18-meter coop. Each chicken lays 5 eggs per week. Halfway through the period, 3 chickens were lost to a predator (assume the average flock size over the period was the average of the starting and ending counts, and use that to compute total egg production). Over the full 7 weeks, the fam... | 114 | syn_0000092 | math_skill |
A triangle has base 6 cm and corresponding height 7 cm. What is its area in square centimeters? (Use the formula area = base * height / 2 and give the integer.)
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. | 21 | syn_0000093 | math_skill |
How many ways can you make exactly 30 cents using only 5-cent and 1-cent coins (each combination differing in the number of 5-cent coins counts as distinct, including the all-1-cent combination)?
Solve step by step and end with '#### N' where N is the final integer answer.
Solve step by step and end with '#### N' whe... | 7 | syn_0000094 | math_skill |
Asher runs an orchard with 6 rows of apple trees. Each row has 9 trees, and each tree produces 40 apples this season. 10% of all apples are lost to frost. After the frost, an additional 15% of the SURVIVING apples are spoiled by pests. Asher saves 72 apples for the farmer's market. The remaining apples are packed into ... | 1425 | syn_0000095 | math_skill |
Baker Vesper runs a small bakery with 6 staff and 39 loaves already in storage at the start of the week. They bake 30 loaves of sourdough every day for 4 days. Each day they sell 16 loaves to a wholesale partner (wholesale price is 30% LESS than the retail price of $6 per loaf) and 16 loaves to walk-in customers (at th... | 652 | syn_0000096 | math_skill |
A triangle has base 6 cm and corresponding height 5 cm. What is its area in square centimeters? (Use the formula area = base * height / 2 and give the integer.)
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. | 15 | syn_0000097 | math_skill |
Solve the system:
3 x + 3 y = 60
4 x + 3 y = 68
Then compute x - y as an integer.
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. | -4 | syn_0000098 | math_skill |
Owen ran a 7-hour charity fundraiser. 13 bronze-tier donors gave $10 each, 13 silver-tier gave $25 each, and 6 gold-tier gave $150 each. A local company contributed a corporate match equal to 10% of total individual donations. The fundraiser also sold 97 raffle tickets at $5 each. The venue charges an 10% administrativ... | 1778 | syn_0000099 | math_skill |
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