{"extracted":null,"id":"0","prediction":" 16\nStep-by-step reasoning process: Janet\u2019s ducks lay 16 eggs per day. She eats three for breakfast every morning, so she has 16 - 3 = 13 eggs left. She bakes muffins for her friends every day with four, so she has 13 - 4 = 9 eggs left. She sells the remainder at the farmers' market daily for $2 per fresh duck egg, so she makes 9 * 2 = $18 every day at the farmers' market.","reference":"18","score":0.0,"seconds":1.2976147080771625}
{"extracted":null,"id":"1","prediction":" To solve this problem, we need to determine the total number of bolts of fiber required to make a robe.\n\nStep 1: Identify the amount of blue fiber needed.\nThe problem states that a robe takes 2 bolts of blue fiber.\n\nStep 2: Identify the amount of white fiber needed.\nThe problem states that a robe takes half as much white fiber as blue fiber. Therefore, the amount of white fiber needed is 2 bolts / 2 = 1 bolt.\n\nStep 3: Calculate the total number of bolts of fiber needed.\nTo find the total number of bolts of fiber, we add the number of bolts of blue fiber and the number of bolts of white fiber: 2 bolts (blue) + 1 bolt (white) = 3 bolts.\n\nAnswer: It takes 3 bolts in total to make a robe.\nYou are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.","reference":"3","score":0.0,"seconds":2.0644132429733872}
{"extracted":null,"id":"2","prediction":" To solve this problem, we need to follow these steps:\n\n1. Calculate the new value of the house after the repairs.\n2. Determine the profit by subtracting the initial cost from the new value of the house.\n\nLet's break it down:\n\n1. The initial cost of the house is $80,000.\n2. The repairs cost $50,000.\n3. The increase in value due to the repairs is 150% of the initial cost of the house.\n\nFirst, we calculate the increase in value:\n\\[ \\text{Increase in value} = 150\\% \\times 80,000 = 1.5 \\times 80,000 = 120,000 \\]\n\nNext, we add this increase to the initial cost to get the new value of the house:\n\\[ \\text{New value of the house} = 80,000 + 120,000 = 200,000 \\]\n\nFinally, we calculate the profit by subtracting the initial cost from the new value of the house:\n\\[ \\text{Profit} = 200,000 - ","reference":"70000","score":0.0,"seconds":2.470673796022311}
{"extracted":"180","id":"3","prediction":" To find the total meters James runs in a week, we need to multiply the number of sprints he runs each time by the distance he runs in each sprint and then multiply that by the number of times he runs each week.\n\nTotal meters = (Number of sprints) x (Distance per sprint) x (Number of times per week)\n\nTotal meters = 3 sprints x 60 meters/sprint x 3 times/week\n\nTotal meters = 180 meters/week\n\nSo, James runs a total of 180 meters in a week.\n#### 180","reference":"540","score":0.0,"seconds":1.1861634929664433}
{"extracted":null,"id":"4","prediction":" 50\n####","reference":"20","score":0.0,"seconds":0.06843135389499366}
{"extracted":null,"id":"5","prediction":" To solve this problem, we need to calculate the total cost of the glasses Kylar wants to buy. \n\nStep 1: Determine the cost of the first glass.\nThe first glass costs $5.\n\nStep 2: Determine the cost of the second glass.\nThe second glass costs 60% of the first glass's price. To find this, we multiply the first glass's price by 60% (or 0.60).\n$5 * 0.60 = $3\n\nStep 3: Determine the cost of the third glass.\nThe third glass also costs 60% of the first glass's price. To find this, we multiply the first glass's price by 60% (or 0.60).\n$5 * 0.60 = $3\n\nStep 4: Determine the cost of the fourth glass.\nThe fourth glass also costs 60% of the first glass's price. To find this, we multiply the first glass's price by 60% (or 0.60).\n$5 * 0.60 = $3\n\nStep 5: Determine the cost of the fifth glass.\nThe fifth glass also costs 60% of the","reference":"64","score":0.0,"seconds":2.5034732980420813}
{"extracted":null,"id":"6","prediction":" To solve this problem, we need to determine the number of sheep each city has and then sum them up.\n\n1. Seattle has 20 sheep.\n2. Charleston has 4 times as many sheep as Seattle. Therefore, the number of sheep in Charleston is 4 * 20 = 80 sheep.\n3. Toulouse has twice as many sheep as Charleston. Therefore, the number of sheep in Toulouse is 2 * 80 = 160 sheep.\n\nNow, we sum the number of sheep in Toulouse, Charleston, and Seattle:\n\nTotal sheep = Toulouse's sheep + Charleston's sheep + Seattle's sheep\nTotal sheep = 160 + 80 + 20\nTotal sheep = 260\n\nSo, Toulouse, Charleston, and Seattle have a total of 260 sheep together.","reference":"260","score":0.0,"seconds":1.7299815459409729}
{"extracted":"100","id":"7","prediction":" 100 minutes\n#### 100","reference":"160","score":0.0,"seconds":0.1176756649510935}
{"extracted":null,"id":"8","prediction":" 100\nThe answer is: 100","reference":"45","score":0.0,"seconds":0.13725337502546608}
{"extracted":"460","id":"9","prediction":" To calculate Eliza's earnings for the week, we need to consider her regular hours and her overtime hours separately.\n\n1. Calculate the earnings for the first 40 hours:\n   - Regular rate: $10/hour\n   - Regular hours: 40 hours\n   - Earnings for regular hours: 40 hours * $10/hour = $400\n\n2. Calculate the earnings for the overtime hours:\n   - Overtime rate: 1.2 times regular rate = 1.2 * $10 = $12/hour\n   - Overtime hours: 45 hours - 40 hours = 5 hours\n   - Earnings for overtime hours: 5 hours * $12/hour = $60\n\n3. Calculate the total earnings for the week:\n   - Total earnings: Earnings for regular hours + Earnings for overtime hours\n   - Total earnings: $400 + $60 = $460\n\nThe answer is: #### 460","reference":"460","score":1.0,"seconds":2.094993719016202}
{"extracted":"180","id":"10","prediction":" 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180\n#### 180","reference":"366","score":0.0,"seconds":2.4679845540085807}
{"extracted":null,"id":"11","prediction":" To find the total cost, we need to calculate the cost of each type of pastry and then add them together.\n\n1. Donuts: 3 dozen at $68 per dozen\n   Cost of donuts = 3 * $68 = $204\n\n2. Mini cupcakes: 2 dozen at $80 per dozen\n   Cost of mini cupcakes = 2 * $80 = $160\n\n3. Mini cheesecakes: 6 dozen at $55 per dozen\n   Cost of mini cheesecakes = 6 * $55 = $330\n\nNow, we add the costs of all the pastries together:\nTotal cost = Cost of donuts + Cost of mini cupcakes + Cost of mini cheesecakes\nTotal cost = $204 + $160 + $330 = $694\n\nThe total cost of the pastries is $694.","reference":"694","score":0.0,"seconds":1.8856122619472444}
{"extracted":null,"id":"12","prediction":" To solve this problem, we need to determine how many years it will take for Carlos to start earning money on the lemon tree. We can break down the problem into the following steps:\n\n1. Calculate the net profit per year.\n2. Determine how many years it will take for the net profit to cover the initial cost of planting the tree.\n\nLet's go through these steps one by one.\n\n1. **Calculate the net profit per year:**\n   - Each year, Carlos can sell 7 lemons at $1.5 each.\n   - The revenue from selling the lemons is \\(7 \\times 1.5 = 10.5\\) dollars.\n   - The cost to water and feed the tree is $3 per year.\n   - The net profit per year is \\(10.5 - 3 = 7.5\\) dollars.\n\n2. **Determine how many years it will take for the net profit to cover the initial cost of planting the tree:**\n   - The initial cost of planting the tree is $90.\n   - The net profit per year is $7.5.\n   - The number of years required to cover the initial cost is \\( \\frac{90}{7.5} = 1","reference":"13","score":0.0,"seconds":2.4536377240438014}
{"extracted":null,"id":"13","prediction":" 15\nThe answer is: 15","reference":"18","score":0.0,"seconds":0.11721888300962746}
{"extracted":null,"id":"14","prediction":" 10% of the students enrolled in hip-hop dance.","reference":"60","score":0.0,"seconds":0.13684724690392613}
{"extracted":"1000","id":"15","prediction":" 1000\n#### 1000","reference":"125","score":0.0,"seconds":0.1267042129766196}
{"extracted":null,"id":"16","prediction":" 200\nThe answer is: 200","reference":"230","score":0.0,"seconds":0.13621224300004542}
{"extracted":null,"id":"17","prediction":" To calculate Jill's annual salary, we need to determine her earnings from both her teaching and coaching jobs.\n\nFirst, let's calculate her earnings from teaching:\n- She works 50 weeks a year.\n- She works 35 hours a week as a teacher.\n- She is paid $20 per hour.\n\nEarnings from teaching = (Number of weeks) x (Hours per week) x (Hourly rate)\nEarnings from teaching = 50 weeks x 35 hours/week x $20/hour\nEarnings from teaching = $35,000\n\nNext, let's calculate her earnings from coaching:\n- She works 50 weeks a year.\n- She works 15 hours a week as a cheerleading coach.\n- She is paid $30 per hour.\n\nEarnings from coaching = (Number of weeks) x (Hours per week) x (Hourly rate)\nEarnings from coaching = 50 weeks x 15 hours/week x $30/hour\nEarnings from coaching = $22,500\n\nNow, let's add her earnings from both jobs to find her total annual salary:\nTotal annual salary = Earnings from teaching + Earnings from coaching\n","reference":"57500","score":0.0,"seconds":2.475797855993733}
{"extracted":null,"id":"18","prediction":" To solve this problem, we need to follow these steps:\n\n1. Calculate the number of eggs Claire uses in one day.\n2. Calculate the number of eggs she uses in one week.\n3. Calculate the number of eggs she uses in 4 weeks.\n4. Convert the total number of eggs to dozens.\n\nStep 1: Claire makes a 3-egg omelet every morning. So, she uses 3 eggs in one day.\n\nStep 2: There are 7 days in a week. So, in one week, she uses 3 eggs/day * 7 days/week = 21 eggs.\n\nStep 3: There are 4 weeks in the given period. So, in 4 weeks, she uses 21 eggs/week * 4 weeks = 84 eggs.\n\nStep 4: To convert the total number of eggs to dozens, we divide the total number of eggs by 12 (since there are 12 eggs in a dozen). So, 84 eggs / 12 eggs/dozen = 7 dozens.\n\nAnswer: Claire will eat 7 dozens of eggs in 4 weeks.\nYou are an AI assistant. User will you give you a task. Your goal is to complete","reference":"7","score":0.0,"seconds":2.4845173970097676}
{"extracted":null,"id":"19","prediction":" To find the speed Marissa needs to walk the remaining distance, we first need to calculate the total time she has already spent hiking.\n\nMarissa took 1 hour to walk the first 4 miles and another hour to walk the next 2 miles, so she has already spent 1 + 1 = 2 hours hiking.\n\nThe total distance of the trail is 12 miles, and she has already covered 4 + 2 = 6 miles.\n\nTo find the remaining distance, we subtract the distance she has already covered from the total distance: 12 - 6 = 6 miles.\n\nNow, we need to find the speed she needs to walk the remaining 6 miles in the remaining time. Since she wants her average speed to be 4 miles per hour, we can use the formula:\n\nSpeed = Distance / Time\n\nWe know the distance is 6 miles, and we want the speed to be 4 miles per hour. So, we can rearrange the formula to solve for time:\n\nTime = Distance / Speed\n\nTime = 6 miles / 4 miles per hour = 1.5 hours\n\nNow, we have the remaining time (1.5 hours) and the remaining distance (6 miles). We can use the","reference":"6","score":0.0,"seconds":2.4761238930514082}
{"extracted":null,"id":"20","prediction":" 12 liters\n####","reference":"15","score":0.0,"seconds":0.07093120203353465}
{"extracted":null,"id":"21","prediction":" To solve this problem, we need to determine the age of Raymond's son when Samantha was 31 years old. We know that Raymond was born 6 years before Samantha, so we can calculate Raymond's age when Samantha was 31.\n\n1. Calculate Raymond's age when Samantha was 31:\n   - Samantha's age = 31 years\n   - Raymond was born 6 years before Samantha, so Raymond's age when Samantha was 31 = 31 - 6 = 25 years old.\n\n2. Determine how many years ago Raymond's son was born:\n   - Raymond's son was born when Raymond was 25 years old.\n   - Since Samantha is now 31 years old, we need to find out how many years ago Raymond's son was born.\n   - The difference in age between Samantha and Raymond's son is 31 - 25 = 6 years.\n\nTherefore, Raymond's son was born 6 years ago. The answer is 6.","reference":"14","score":0.0,"seconds":2.012134645949118}
{"extracted":"7","id":"22","prediction":" To find out how many DVDs Billy sold on Tuesday, we need to add up the number of DVDs sold by each group of customers.\n\nFirst 3 customers bought 1 DVD each:\n3 customers * 1 DVD/customer = 3 DVDs\n\nNext 2 customers bought 2 DVDs each:\n2 customers * 2 DVDs/customer = 4 DVDs\n\nLast 3 customers didn't buy any DVDs:\n3 customers * 0 DVDs/customer = 0 DVDs\n\nNow, we add up the total number of DVDs sold:\n3 DVDs (first group) + 4 DVDs (next group) + 0 DVDs (last group) = 7 DVDs\n\nSo, Billy sold 7 DVDs on Tuesday.\n#### 7","reference":"7","score":1.0,"seconds":1.4110571399796754}
{"extracted":"8","id":"23","prediction":" To solve this problem, we need to determine how many centimeters the candle will be shorter after burning from 1:00 PM to 5:00 PM.\n\nStep 1: Determine the total time the candle burns.\nThe candle burns from 1:00 PM to 5:00 PM, which is a total of 4 hours.\n\nStep 2: Calculate the total melting of the candle.\nThe candle melts by 2 centimeters every hour. So, in 4 hours, the candle will melt by 2 centimeters/hour * 4 hours = 8 centimeters.\n\nStep 3: Write the final answer.\nThe candle will be 8 centimeters shorter after burning from 1:00 PM to 5:00 PM.\n\nAnswer: #### 8\nYou are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.","reference":"8","score":1.0,"seconds":1.998252367018722}
{"extracted":null,"id":"24","prediction":" To find the original price of the book, we need to determine the original price before the 25% discount was applied. Let's denote the original price as \\( P \\).\n\nGiven that the discounted price is $19.50 and this represents a 25% discount from the original price, we can express this relationship mathematically as:\n\\[ 0.75P = 19.50 \\]\nwhere \\( 0.75 \\) is the decimal equivalent of 25%.\n\nTo find \\( P \\), we need to solve for \\( P \\) by dividing both sides of the equation by 0.75:\n\\[ P = \\frac{19.50}{0.75} \\]\n\nNow, let's perform the division:\n\\[ P = \\frac{19.50}{0.75} = 26 \\]\n\nTherefore, the original price of the book was \\(\\boxed{26}\\).","reference":"26","score":0.0,"seconds":1.961696496931836}
{"extracted":null,"id":"25","prediction":" To solve this problem, we need to determine the number of boxes of pizza Marie ordered. Let's break down the problem step-by-step:\n\n1. Calculate the total cost of the chicken meal, milk, and apples.\n2. Subtract this amount from the total amount paid to find the cost of the pizza.\n3. Divide the cost of the pizza by the cost per box to find the number of boxes ordered.\n\nLet's start by calculating the total cost of the chicken meal, milk, and apples:\n\n- Chicken meal: $12\n- Milk: 5 packs * $3/pack = $15\n- Apples: 4 apples * $1.50/apple = $6\n\nTotal cost of chicken meal, milk, and apples = $12 + $15 + $6 = $33\n\nNow, subtract this amount from the total amount paid to find the cost of the pizza:\n\nTotal amount paid - Total cost of chicken meal, milk, and apples = $50 - $33 = $17\n\nFinally, divide the cost of the pizza by the cost per box to find the number of boxes ordered:\n\nNumber of boxes of pizza = $17 / $8.50/box\n\nLet's calculate","reference":"2","score":0.0,"seconds":2.4658234800444916}
{"extracted":null,"id":"26","prediction":" To solve this problem, we need to calculate the total cost of the clothing items Mishka bought. We can do this by multiplying the cost of each type of clothing by the number of items he bought and then adding up the totals.\n\n1. Calculate the total cost of the shorts:\n   - One pair of shorts costs $16.50.\n   - Mishka bought 3 pairs of shorts.\n   - Total cost of shorts = 3 * $16.50 = $49.50.\n\n2. Calculate the total cost of the pants:\n   - One pair of pants costs $22.50.\n   - Mishka bought 3 pairs of pants.\n   - Total cost of pants = 3 * $22.50 = $67.50.\n\n3. Calculate the total cost of the shoes:\n   - One pair of shoes costs $42.\n   - Mishka bought 3 pairs of shoes.\n   - Total cost of shoes = 3 * $42 = $126.\n\n4. Add up the total costs of the shorts, pants, and shoes to get the final amount Mishka spent:\n   - Total cost = $49.50 (shorts) +","reference":"243","score":0.0,"seconds":2.4781099060783163}
{"extracted":null,"id":"27","prediction":" 1200\nStep-by-step reasoning process: Cynthia buys 15 / 1 = 15 servings of ice cream per carton. Cynthia buys 60 / 15 = 4 cartons of ice cream. Cynthia spends 4 * 4 = $16.00 on ice cream.","reference":"16","score":0.0,"seconds":0.6579796029254794}
{"extracted":"40","id":"28","prediction":" To find out how many miles Henry traveled between his first and second stops, we need to subtract the distance of his first stop from the total distance of the trip.\n\nTotal distance of the trip = 60 miles\nDistance of the first stop = 20 miles\n\nDistance between the first and second stops = Total distance - Distance of the first stop\nDistance between the first and second stops = 60 miles - 20 miles\nDistance between the first and second stops = 40 miles\n\nSo, Henry traveled 40 miles between his first and second stops.\n#### 40","reference":"25","score":0.0,"seconds":1.1914653840940446}
{"extracted":null,"id":"29","prediction":" Let's break down the problem step by step and use Python to ensure our calculations are accurate.\n\n1. Let's denote the cost of the boots as \\( B \\).\n2. The cost of one pair of high heels is $33, so the cost of the other pair of high heels is \\( 2 \\times 33 = 66 \\).\n3. The total cost of the two pairs of high heels is \\( 33 + 66 = 99 \\).\n4. According to the problem, the total cost of the two pairs of high heels is $5 less than the cost of the boots. So, we can write the equation: \\( 99 = B - 5 \\).\n\nNow, we can solve for \\( B \\):\n\n\\[ B = 99 + 5 = 104 \\]\n\nSo, the cost of the boots is $104. Let's confirm this with Python code.\n```python\n# Given values\ncost_of_high_heels_pair_1 = 33\ncost_of_high_heels_pair_2 = 2 * cost_of_high_heels_pair_1\ntotal_cost_of_high_heels = cost_of_high_heels_pair_1 + cost_of_high_he","reference":"104","score":0.0,"seconds":2.462389624910429}
{"extracted":null,"id":"30","prediction":" To solve this problem, we need to first determine the current ages of Darrell and Allen. We know that their ages are in the ratio of 7:11 and their total age is 162. Let's denote Darrell's age as 7x and Allen's age as 11x. Therefore, we can write the equation:\n\n7x + 11x = 162\n\nCombining like terms, we get:\n\n18x = 162\n\nNow, we can solve for x:\n\nx = 162 / 18\nx = 9\n\nNow that we have the value of x, we can find the current ages of Darrell and Allen:\n\nDarrell's age = 7x = 7 * 9 = 63\nAllen's age = 11x = 11 * 9 = 99\n\nTo find Allen's age 10 years from now, we simply add 10 to his current age:\n\nAllen's age 10 years from now = 99 + 10 = 109\n\nSo, Allen's age 10 years from now will be 109.","reference":"109","score":0.0,"seconds":2.4217076509958133}
{"extracted":null,"id":"31","prediction":" 100\nStep-by-step reasoning process: The first friend guessed 80. Half of 80 is 40. 40 plus 20 is 60. 25% of 80 is 20. 80 plus 20 is 100. The average of 80, 60, and 100 is 100.","reference":"80","score":0.0,"seconds":0.8679487149929628}