id stringlengths 14 14 | problem stringlengths 18 141 | solution stringlengths 34 172 | answer stringlengths 1 33 | difficulty stringclasses 4
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mwp-53595dd01d | A car travels at 87 m/s for 4 seconds. How many meters does it travel? | Distance = speed × time = 87 × 4 = 348 meters. | 348 | medium | middle_school | algebra | science |
mwp-daa30f7c11 | Ivan had 94 toys. After giving away 66, how many does Ivan have left? | Start with 94 toys. Give away 66.
Remaining = 94 - 66 = 28. | 28 | easy | elementary | arithmetic | everyday |
mwp-e0719ee90e | Kevin and Alice share 24 candies in the ratio 6:2. How many does each person get? | Total parts = 6 + 2 = 8.
Kevin gets 6/8 × 24 = 18.
Alice gets 2/8 × 24 = 6. | Kevin: 18, Alice: 6 | medium | middle_school | algebra | everyday |
mwp-22517b7057 | A rectangular garden is 20 meters long and 16 meters wide. What is its area? | Area = length × width = 20 × 16 = 320 m². | 320 m² | medium | middle_school | geometry | everyday |
mwp-052c713337 | $5000 is invested at 8% annual interest, compounded monthly, for 10 years. What is the total amount? | A = P(1 + r/n)^(nt) = 5000(1 + 0.08/12)^(12×10)
= 5000 × 2.219640
≈ $11098.20 | $11098.20 | hard | high_school | algebra | finance |
mwp-77169b08a3 | A quadrilateral has sides of 6 m, 13 m, 16 m, and 20 m. What is its perimeter? | Perimeter = 6 + 13 + 16 + 20 = 55 m. | 55 m | easy | elementary | geometry | everyday |
mwp-34c80e8b49 | A store buys books at $469 each and sells them at $637 each. If they sell 11 units, what is their total profit? | Revenue = 11 × $637 = $7007.
Total cost = 11 × $469 = $5159.
Profit = $7007 - $5159 = $1848. | $1848 | medium | middle_school | algebra | finance |
mwp-887ddde7c2 | A block of iron has a density of 13.57 g/cm³ and a volume of 161.2 cm³. What is its mass? | Mass = density × volume = 13.57 g/cm³ × 161.2 cm³ = 2187.48 g. | 2187.48 g | medium | middle_school | algebra | science |
mwp-a3b0757eed | Fiona has 25 pencils and Lena has 48 pencils. How many pencils do they have together? | Fiona has 25 pencils. Lena has 48 pencils.
Total = 25 + 48 = 73 pencils. | 73 | easy | elementary | arithmetic | everyday |
mwp-4ad44cb95a | A movie starts at 1:00 PM and lasts 4 hours. What time does it end? | Start: 1:00 PM = 13:00.
Duration: 4h 0m.
End: 17:00 = 5:00 PM. | 5:00 PM | easy | elementary | arithmetic | everyday |
mwp-00ed8424cc | Ethan eats 3/5 of 58 oranges. How many oranges did Ethan eat? | Fraction eaten = 3/5.
Amount = 3/5 × 58 = 3 × 58 / 5 = 34.8. | 34.8 | easy | elementary | arithmetic | everyday |
mwp-17756996d8 | A ladder 60 meters long leans against a wall. The base is 36 meters from the wall. How high up the wall does the ladder reach? | Using Pythagorean theorem: a² + b² = c²
36² + 48² = 1296 + 2304 = 3600 = 60²
Answer = 48 m. | 48 m | medium | high_school | geometry | everyday |
mwp-5b103f1413 | Alice buys 5 rulers at $1.08 each and pays with $10.00. How much change does Alice receive? | Cost = 5 × $1.08 = $5.40.
Change = $10.00 - $5.40 = $4.60. | $4.60 | easy | elementary | arithmetic | finance |
mwp-610b66bc50 | A rectangular box is 13 cm long, 2 cm wide, and 8 cm tall. What is its volume? | Volume = l × w × h = 13 × 2 × 8 = 208 cm³. | 208 cm³ | medium | middle_school | geometry | everyday |
mwp-b1f605903e | A triangle has a base of 6 cm and a height of 18 cm. What is its area? | Area = ½ × base × height = ½ × 6 × 18 = 54 cm². | 54 cm² | medium | middle_school | geometry | everyday |
mwp-4910c64d3b | A movie starts at 10:00 AM and lasts 4 hours. What time does it end? | Start: 10:00 AM = 10:00.
Duration: 4h 0m.
End: 14:00 = 2:00 PM. | 2:00 PM | easy | elementary | arithmetic | everyday |
mwp-68dd46ae4a | A quadrilateral has sides of 4 m, 4 m, 14 m, and 15 m. What is its perimeter? | Perimeter = 4 + 4 + 14 + 15 = 37 m. | 37 m | easy | elementary | geometry | everyday |
mwp-30bdeb6ef1 | Find the mean of these test scores: 94, 73, 79, 97, 55, 87, 56, 82. | Sum = 94 + 73 + 79 + 97 + 55 + 87 + 56 + 82 = 623.
Mean = 623 / 8 = 77.88. | 77.88 | easy | middle_school | statistics | everyday |
mwp-ba4d6a5da8 | A rectangular box is 13 cm long, 10 cm wide, and 2 cm tall. What is its volume? | Volume = l × w × h = 13 × 10 × 2 = 260 cm³. | 260 cm³ | medium | middle_school | geometry | everyday |
mwp-aab3f2130e | A circular fountain has a radius of 19 meters. What is its circumference? (Use π ≈ 3.14159) | Circumference = 2πr = 2 × π × 19 ≈ 119.38 meters. | 119.38 m | medium | middle_school | geometry | everyday |
mwp-fff16ba13e | Carlos and Ethan share 63 stickers in the ratio 6:3. How many does each person get? | Total parts = 6 + 3 = 9.
Carlos gets 6/9 × 63 = 42.
Ethan gets 3/9 × 63 = 21. | Carlos: 42, Ethan: 21 | medium | middle_school | algebra | everyday |
mwp-977ff1eab7 | Hannah had 25 cookies. After giving away 14, how many does Hannah have left? | Start with 25 cookies. Give away 14.
Remaining = 25 - 14 = 11. | 11 | easy | elementary | arithmetic | everyday |
mwp-36641a9adc | A store buys gadgets at $404 each and sells them at $589 each. If they sell 37 units, what is their total profit? | Revenue = 37 × $589 = $21793.
Total cost = 37 × $404 = $14948.
Profit = $21793 - $14948 = $6845. | $6845 | medium | middle_school | algebra | finance |
mwp-401ac7c5bc | Calculate the population standard deviation for the data set: 99, 64, 90, 72, 92. | Mean = 83.4
Squared deviations: (99-83.4)²=243.36, (64-83.4)²=376.36, (90-83.4)²=43.56, (72-83.4)²=129.96, (92-83.4)²=73.96
Variance = 173.44
SD = √173.44 ≈ 13.17 | 13.17 | hard | high_school | statistics | everyday |
mwp-e43c9fcc56 | Find the indefinite integral: ∫ (1x + 4) dx | Apply the power rule for integration (∫x^n dx = x^(n+1)/(n+1)):
∫1xdx = (1/2)x^2
∫4dx = (4)x^1
Result: (1/2)x^2 + 4x + C | (1/2)x^2 + 4x + C | expert | college | calculus | general |
mwp-a26cffc455 | Find the median of: 57, 42, 69, 31, 87. | Sorted: 31, 42, 57, 69, 87.
Median (middle value, position 3) = 57. | 57 | easy | middle_school | statistics | everyday |
mwp-287e26bcd3 | Solution A is 30% acid. Solution B is 80% acid. If you mix 3 liters of A with 3 liters of B, what is the acid concentration of the mixture? | Acid from A = 3 × 30/100 = 0.90 L
Acid from B = 3 × 80/100 = 2.40 L
Total acid = 3.30 L, total volume = 6 L
Concentration = 3.30/6 × 100 = 55.0% | 55.0% | medium | middle_school | algebra | science |
mwp-fc30142774 | An arithmetic sequence has first term 14 and common difference 6. Find the 6th term and the sum of the first 6 terms. | nth term: a_n = a_1 + (n-1)d = 14 + (6-1)×6 = 14 + 30 = 44.
Sum S_n = n(a_1 + a_n)/2 = 6(14 + 44)/2 = 6×58/2 = 174. | a_6 = 44; S_6 = 174 | hard | high_school | algebra | general |
mwp-fbe80b366d | A bag contains 3 red, 2 blue, 2 green marbles. One marble is drawn at random. What is the probability it is blue? | Total marbles = 7.
Favorable outcomes (blue) = 2.
P(blue) = 2/7 = 2/7. | 2/7 | medium | middle_school | probability | everyday |
mwp-07a4ca9a5e | A fair six-sided die is rolled. What is the probability of rolling a 6? | There is 1 favorable outcome out of 6 possible outcomes.
P(6) = 1/6. | 1/6 | easy | middle_school | probability | everyday |
mwp-ef6fe58112 | Calculate the population standard deviation for the data set: 77, 61, 71, 77, 79. | Mean = 73.0
Squared deviations: (77-73.0)²=16, (61-73.0)²=144, (71-73.0)²=4, (77-73.0)²=16, (79-73.0)²=36
Variance = 43.2
SD = √43.2 ≈ 6.57 | 6.57 | hard | high_school | statistics | everyday |
mwp-96fc891db1 | A rectangular room is 7 meters long and 12 meters wide. What is its area? | Area = length × width = 7 × 12 = 84 m². | 84 m² | medium | middle_school | geometry | everyday |
mwp-1d3a9a2d05 | A fair coin is flipped 3 times. What is the probability of getting all heads? | P(heads) = 1/2 each flip.
P(all heads in 3 flips) = (1/2)^3 = 1/8. | 1/8 | medium | middle_school | probability | everyday |
mwp-dc96c6cd57 | Ivan has 67 marbles and Kevin has 34 marbles. How many marbles do they have together? | Ivan has 67 marbles. Kevin has 34 marbles.
Total = 67 + 34 = 101 marbles. | 101 | easy | elementary | arithmetic | everyday |
mwp-49fce823e4 | A cube has sides of length 3 cm. What is its total surface area? | A cube has 6 faces, each of area 3² = 9 cm².
Total surface area = 6 × 9 = 54 cm². | 54 cm² | medium | middle_school | geometry | everyday |
mwp-aa4340bc94 | A movie starts at 8:00 AM and lasts 3 hours:45. What time does it end? | Start: 8:00 AM = 8:00.
Duration: 3h 45m.
End: 11:45 = 11:45 AM. | 11:45 AM | easy | elementary | arithmetic | everyday |
mwp-45fd4a874c | Julia and George share 28 prize money in the ratio 2:5. How many does each person get? | Total parts = 2 + 5 = 7.
Julia gets 2/7 × 28 = 8.
George gets 5/7 × 28 = 20. | Julia: 8, George: 20 | medium | middle_school | algebra | everyday |
mwp-7cbec97447 | Find the mean of these test scores: 57, 93, 63, 95, 87, 81, 55, 82. | Sum = 57 + 93 + 63 + 95 + 87 + 81 + 55 + 82 = 613.
Mean = 613 / 8 = 76.62. | 76.62 | easy | middle_school | statistics | everyday |
mwp-5139ca94e0 | Kevin arranges marbles in 9 rows with 4 in each row. How many marbles are there in total? | Rows = 9, items per row = 4.
Total = 9 × 4 = 36. | 36 | easy | elementary | arithmetic | everyday |
mwp-465f77d083 | Fiona buys 7 pencils at $0.61 each. How much does Fiona spend in total? | Cost per item = $0.61, quantity = 7.
Total = 7 × $0.61 = $4.27. | $4.27 | easy | elementary | arithmetic | finance |
mwp-777de8aa31 | Ivan has 19 apples. After buying 4 packs with the same number each, Ivan has 51 apples total. How many apples are in each pack? | Let x = items per pack.
4x + 19 = 51
4x = 51 - 19 = 32
x = 32 / 4 = 8. | 8 | medium | middle_school | algebra | everyday |
mwp-37a6862f6a | An arithmetic sequence has first term 18 and common difference 7. Find the 12th term and the sum of the first 12 terms. | nth term: a_n = a_1 + (n-1)d = 18 + (12-1)×7 = 18 + 77 = 95.
Sum S_n = n(a_1 + a_n)/2 = 12(18 + 95)/2 = 12×113/2 = 678. | a_12 = 95; S_12 = 678 | hard | high_school | algebra | general |
mwp-40baa9a280 | Ivan is 8 years younger than Alice. Together their ages sum to 64. How old is Ivan? | Let Ivan's age = x, then Alice's age = x + 8.
x + (x + 8) = 64
2x = 64 - 8 = 56
x = 28 = 28. | 28 | medium | middle_school | algebra | everyday |
mwp-55ab220c75 | Ethan can paint 5 walls per hour and Hannah can paint 4 walls per hour. Working together for 3 hours, how many walls do they paint? | Combined rate = 5 + 4 = 9 walls/hour.
In 3 hours: 9 × 3 = 27 walls. | 27 | medium | middle_school | algebra | everyday |
mwp-b2b3d96062 | A circular fountain has a radius of 13 meters. What is its circumference? (Use π ≈ 3.14159) | Circumference = 2πr = 2 × π × 13 ≈ 81.68 meters. | 81.68 m | medium | middle_school | geometry | everyday |
mwp-3bb32bb3fd | Find the indefinite integral: ∫ (3x + 5) dx | Apply the power rule for integration (∫x^n dx = x^(n+1)/(n+1)):
∫3xdx = (3/2)x^2
∫5dx = (5)x^1
Result: (3/2)x^2 + 5x + C | (3/2)x^2 + 5x + C | expert | college | calculus | general |
mwp-e441cd4f95 | $2000 is invested at 4% annual interest, compounded monthly, for 4 years. What is the total amount? | A = P(1 + r/n)^(nt) = 2000(1 + 0.04/12)^(12×4)
= 2000 × 1.173199
≈ $2346.40 | $2346.40 | hard | high_school | algebra | finance |
mwp-10844c5735 | A laptop costs $89. Its price increases by 25%. What is the new price? | Increase = 25% of $89 = 25/100 × 89 = $22.
New price = $89 + $22 = $111. | $111 | medium | middle_school | algebra | finance |
mwp-3ee4905816 | Carlos had 106 cookies. After giving away 43, how many does Carlos have left? | Start with 106 cookies. Give away 43.
Remaining = 106 - 43 = 63. | 63 | easy | elementary | arithmetic | everyday |
mwp-2a7d839b62 | Hannah has 12 stickers. After buying 9 packs with the same number each, Hannah has 30 stickers total. How many stickers are in each pack? | Let x = items per pack.
9x + 12 = 30
9x = 30 - 12 = 18
x = 18 / 9 = 2. | 2 | medium | middle_school | algebra | everyday |
mwp-5f3c64d73b | Carlos wants to share 60 stickers equally among 6 friends. How many does each friend get? | Total stickers = 60, number of friends = 6.
Each friend gets 60 ÷ 6 = 10. | 10 | easy | elementary | arithmetic | everyday |
mwp-e8fd29e165 | A bag contains 6 red, 8 blue, 3 green marbles. One marble is drawn at random. What is the probability it is green? | Total marbles = 17.
Favorable outcomes (green) = 3.
P(green) = 3/17 = 3/17. | 3/17 | medium | middle_school | probability | everyday |
mwp-77f0ba2037 | Find the derivative of f(x) = 3x^5 + 7x + 5. | Apply the power rule to each term:
d/dx(3x^5) = 15x^4
d/dx(7x) = 7
f'(x) = 15x^4 + 7 | f'(x) = 15x^4 + 7 | expert | college | calculus | general |
mwp-540415ca82 | Julia arranges bananas in 14 rows with 3 in each row. How many bananas are there in total? | Rows = 14, items per row = 3.
Total = 14 × 3 = 42. | 42 | easy | elementary | arithmetic | everyday |
mwp-f98ae52c17 | Solution A is 40% acid. Solution B is 75% acid. If you mix 2 liters of A with 2 liters of B, what is the acid concentration of the mixture? | Acid from A = 2 × 40/100 = 0.80 L
Acid from B = 2 × 75/100 = 1.50 L
Total acid = 2.30 L, total volume = 4 L
Concentration = 2.30/4 × 100 = 57.5% | 57.5% | medium | middle_school | algebra | science |
mwp-0a87927ef7 | A cube has sides of length 4 cm. What is its total surface area? | A cube has 6 faces, each of area 4² = 16 cm².
Total surface area = 6 × 16 = 96 cm². | 96 cm² | medium | middle_school | geometry | everyday |
mwp-68c84f4e45 | Solve for x: 3^x = 81 | Write 81 as a power of 3: 81 = 3^4.
Therefore x = 4. | x = 4 | hard | high_school | algebra | general |
mwp-0c03575cbe | George can paint 8 walls per hour and Hannah can paint 4 walls per hour. Working together for 6 hours, how many walls do they paint? | Combined rate = 8 + 4 = 12 walls/hour.
In 6 hours: 12 × 6 = 72 walls. | 72 | medium | middle_school | algebra | everyday |
mwp-e2a25e21dc | In how many ways can 2 students be chosen from 7 to fill 2 distinct positions (president, vice-president, etc.)? | Ordered selection: P(7,2) = 7!/(5!) = 42.
Answer = 42. | 42 | hard | high_school | probability | everyday |
mwp-9b714b45b4 | In how many ways can 4 students be chosen from 9 to fill 4 distinct positions (president, vice-president, etc.)? | Ordered selection: P(9,4) = 9!/(5!) = 3024.
Answer = 3024. | 3024 | hard | high_school | probability | everyday |
mwp-2aa5da10db | Find the derivative of f(x) = 8x^4 + 2x + 9. | Apply the power rule to each term:
d/dx(8x^4) = 32x^3
d/dx(2x) = 2
f'(x) = 32x^3 + 2 | f'(x) = 32x^3 + 2 | expert | college | calculus | general |
mwp-df10ed731f | A movie starts at 1:00 PM and lasts 3 hours:15. What time does it end? | Start: 1:00 PM = 13:00.
Duration: 3h 15m.
End: 16:15 = 4:15 PM. | 4:15 PM | easy | elementary | arithmetic | everyday |
mwp-0c39f3997c | Evaluate: log_3(9) | log_3(9) asks: '3 to what power gives 9?'
3^2 = 9, so log_3(9) = 2. | 2 | hard | high_school | algebra | general |
mwp-f31635e311 | A movie starts at 9:00 AM and lasts 2 hours:15. What time does it end? | Start: 9:00 AM = 9:00.
Duration: 2h 15m.
End: 11:15 = 11:15 AM. | 11:15 AM | easy | elementary | arithmetic | everyday |
mwp-0bbd3c6dbb | A camera costs $176. Its price increases by 25%. What is the new price? | Increase = 25% of $176 = 25/100 × 176 = $44.
New price = $176 + $44 = $220. | $220 | medium | middle_school | algebra | finance |
mwp-a78d3ec56d | A rectangular parking lot is 7 meters long and 18 meters wide. What is its area? | Area = length × width = 7 × 18 = 126 m². | 126 m² | medium | middle_school | geometry | everyday |
mwp-85c609954e | Hannah buys 3 pens at $1.17 each and pays with $5.00. How much change does Hannah receive? | Cost = 3 × $1.17 = $3.51.
Change = $5.00 - $3.51 = $1.49. | $1.49 | easy | elementary | arithmetic | finance |
mwp-547d771baf | An arithmetic sequence has first term 16 and common difference 7. Find the 12th term and the sum of the first 12 terms. | nth term: a_n = a_1 + (n-1)d = 16 + (12-1)×7 = 16 + 77 = 93.
Sum S_n = n(a_1 + a_n)/2 = 12(16 + 93)/2 = 12×109/2 = 654. | a_12 = 93; S_12 = 654 | hard | high_school | algebra | general |
mwp-847b7b88c2 | Fiona wants to share 80 cookies equally among 10 friends. How many does each friend get? | Total cookies = 80, number of friends = 10.
Each friend gets 80 ÷ 10 = 8. | 8 | easy | elementary | arithmetic | everyday |
mwp-ec60dc7e9f | Find the mean of these test scores: 69, 63, 97, 97, 96. | Sum = 69 + 63 + 97 + 97 + 96 = 422.
Mean = 422 / 5 = 84.4. | 84.4 | easy | middle_school | statistics | everyday |
mwp-b2bee44ea2 | Two fair dice are rolled. What is the probability that the first shows 3 and the second shows 3? | P(first = 3) = 1/6.
P(second = 3) = 1/6.
P(both) = 1/6 × 1/6 = 1/4. | 1/4 | medium | high_school | probability | everyday |
mwp-1ceeafc219 | Calculate the population standard deviation for the data set: 62, 92, 82, 85, 71. | Mean = 78.4
Squared deviations: (62-78.4)²=268.96, (92-78.4)²=184.96, (82-78.4)²=12.96, (85-78.4)²=43.56, (71-78.4)²=54.76
Variance = 113.04
SD = √113.04 ≈ 10.63 | 10.63 | hard | high_school | statistics | everyday |
mwp-e1a9907173 | Ivan has 70 books and Fiona has 31 books. How many books do they have together? | Ivan has 70 books. Fiona has 31 books.
Total = 70 + 31 = 101 books. | 101 | easy | elementary | arithmetic | everyday |
mwp-7dc318ef11 | Hannah wants to share 45 pencils equally among 9 friends. How many does each friend get? | Total pencils = 45, number of friends = 9.
Each friend gets 45 ÷ 9 = 5. | 5 | easy | elementary | arithmetic | everyday |
mwp-fc308bc420 | Julia eats 1/2 of 35 pencils. How many pencils did Julia eat? | Fraction eaten = 1/2.
Amount = 1/2 × 35 = 1 × 35 / 2 = 17.5. | 17.5 | easy | elementary | arithmetic | everyday |
mwp-4badc9d46f | A rectangular storage container is 20 cm long, 14 cm wide, and 9 cm tall. What is its volume? | Volume = l × w × h = 20 × 14 × 9 = 2520 cm³. | 2520 cm³ | medium | middle_school | geometry | everyday |
mwp-cf68d2cf6f | A rectangular box is 18 cm long, 3 cm wide, and 11 cm tall. What is its volume? | Volume = l × w × h = 18 × 3 × 11 = 594 cm³. | 594 cm³ | medium | middle_school | geometry | everyday |
mwp-f444650a92 | A quadrilateral has sides of 3 m, 5 m, 15 m, and 19 m. What is its perimeter? | Perimeter = 3 + 5 + 15 + 19 = 42 m. | 42 m | easy | elementary | geometry | everyday |
mwp-bbe8975841 | Carlos is 3 years younger than Kevin. Together their ages sum to 31. How old is Carlos? | Let Carlos's age = x, then Kevin's age = x + 3.
x + (x + 3) = 31
2x = 31 - 3 = 28
x = 14 = 14. | 14 | medium | middle_school | algebra | everyday |
mwp-63bf428737 | Hannah is 2 years younger than Julia. Together their ages sum to 22. How old is Hannah? | Let Hannah's age = x, then Julia's age = x + 2.
x + (x + 2) = 22
2x = 22 - 2 = 20
x = 10 = 10. | 10 | medium | middle_school | algebra | everyday |
mwp-cea93f0a19 | A bag contains 7 red, 7 blue, 2 green marbles. One marble is drawn at random. What is the probability it is blue? | Total marbles = 16.
Favorable outcomes (blue) = 7.
P(blue) = 7/16 = 7/16. | 7/16 | medium | middle_school | probability | everyday |
mwp-d979a4ba7e | A triangle has a base of 11 cm and a height of 11 cm. What is its area? | Area = ½ × base × height = ½ × 11 × 11 = 60.5 cm². | 60.5 cm² | medium | middle_school | geometry | everyday |
mwp-54b1f81abd | Bob eats 3/4 of 47 cards. How many cards did Bob eat? | Fraction eaten = 3/4.
Amount = 3/4 × 47 = 3 × 47 / 4 = 35.25. | 35.25 | easy | elementary | arithmetic | everyday |
mwp-3f83f575e9 | A shirt costs $100 and is on sale for 40% off. What is the sale price? | Discount = 40% × $100 = $40.
Sale price = $100 - $40 = $60. | $60 | medium | middle_school | algebra | finance |
mwp-b5a9458bf6 | A circular fountain has a radius of 9 meters. What is its circumference? (Use π ≈ 3.14159) | Circumference = 2πr = 2 × π × 9 ≈ 56.55 meters. | 56.55 m | medium | middle_school | geometry | everyday |
mwp-e699d9b60a | Solve for x: 3^x = 27 | Write 27 as a power of 3: 27 = 3^3.
Therefore x = 3. | x = 3 | hard | high_school | algebra | general |
mwp-0a0f88ca69 | Hannah eats 1/2 of 80 grapes. How many grapes did Hannah eat? | Fraction eaten = 1/2.
Amount = 1/2 × 80 = 1 × 80 / 2 = 40. | 40 | easy | elementary | arithmetic | everyday |
mwp-0ada38de0e | A rectangular field is 27 meters long and 13 meters wide. What is its area? | Area = length × width = 27 × 13 = 351 m². | 351 m² | medium | middle_school | geometry | everyday |
mwp-6fc3f80c6a | A movie starts at 12:00 PM and lasts 4 hours. What time does it end? | Start: 12:00 PM = 12:00.
Duration: 4h 0m.
End: 16:00 = 4:00 PM. | 4:00 PM | easy | elementary | arithmetic | everyday |
mwp-da96170ae2 | Fiona buys 1 pens at $1.47 each and pays with $5.00. How much change does Fiona receive? | Cost = 1 × $1.47 = $1.47.
Change = $5.00 - $1.47 = $3.53. | $3.53 | easy | elementary | arithmetic | finance |
mwp-bb90cc940c | A committee of 4 people is to be chosen from a group of 6. In how many ways can this be done? | Unordered selection: C(6,4) = 6!/(4! × (6-4)!) = 15. | 15 | hard | high_school | probability | everyday |
mwp-cca3f17dd5 | A bag contains 7 red, 8 blue, 1 green marbles. One marble is drawn at random. What is the probability it is green? | Total marbles = 16.
Favorable outcomes (green) = 1.
P(green) = 1/16 = 1/16. | 1/16 | medium | middle_school | probability | everyday |
mwp-c58d274677 | Solution A is 10% acid. Solution B is 50% acid. If you mix 2 liters of A with 2 liters of B, what is the acid concentration of the mixture? | Acid from A = 2 × 10/100 = 0.20 L
Acid from B = 2 × 50/100 = 1.00 L
Total acid = 1.20 L, total volume = 4 L
Concentration = 1.20/4 × 100 = 30.0% | 30.0% | medium | middle_school | algebra | science |
mwp-ce4ec43ea9 | A book costs $250 and is on sale for 15% off. What is the sale price? | Discount = 15% × $250 = $37.
Sale price = $250 - $37 = $213. | $213 | medium | middle_school | algebra | finance |
mwp-dbf0341522 | Bob had 66 pencils. After giving away 37, how many does Bob have left? | Start with 66 pencils. Give away 37.
Remaining = 66 - 37 = 29. | 29 | easy | elementary | arithmetic | everyday |
mwp-064b6c3248 | A cyclist travels at 43.9 m/s for 2.5 seconds. How far does it travel? | Distance = speed × time = 43.9 × 2.5 = 109.75 miles. | 109.75 | medium | middle_school | algebra | science |
mwp-b47a7ae605 | A cyclist travels at 99.0 mph for 3.8 hours. How far does it travel? | Distance = speed × time = 99.0 × 3.8 = 376.2 miles. | 376.2 | medium | middle_school | algebra | science |
mwp-fe7565046b | A train travels at 38.0 m/s for 1.0 seconds. How far does it travel? | Distance = speed × time = 38.0 × 1.0 = 38.0 miles. | 38.0 | medium | middle_school | algebra | science |
mwp-0fc51e2b70 | Fiona and Diana share 42 coins in the ratio 2:5. How many does each person get? | Total parts = 2 + 5 = 7.
Fiona gets 2/7 × 42 = 12.
Diana gets 5/7 × 42 = 30. | Fiona: 12, Diana: 30 | medium | middle_school | algebra | everyday |
mwp-3e896e3b8e | Find the derivative of f(x) = 1x^2 + 4x + 5. | Apply the power rule to each term:
d/dx(1x^2) = 2x
d/dx(4x) = 4
f'(x) = 2x + 4 | f'(x) = 2x + 4 | expert | college | calculus | general |
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