{"idx": 0, "text": "To find out how much money Janet makes daily at the farmers' market, we can follow these steps:\n\n1.  **Identify the total number of eggs laid per day:**\n    Janet's ducks lay 16 eggs every day.\n\n2.  **Calculate the number of eggs used for personal consumption:**\n    Janet eats 3 eggs for breakfast.\n    $16 - 3 = 13$ eggs remaining.\n\n3.  **Calculate the number of eggs used for baking:**\n    Janet uses 4 eggs to bake muffins for her friends.\n    $13 - 4 = 9$ eggs remaining.\n\n4.  **Identify the number of eggs available to sell:**\n    The remainder of the eggs are sold at the market.\n    The remainder is 9 eggs.\n\n5.  **Calculate the total revenue from the sale:**\n    Janet sells each egg for $2.\n    $9 \\text{ eggs} \\times \\$2/\\text{egg} = \\$18$.\n\nJanet makes $18 every day at the farmers' market.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 236, "stop": "stop", "seconds": 2.9085237979888916}
{"idx": 1, "text": "To find the total number of bolts needed for the robe, follow these steps:\n\n1.  **Identify the amount of blue fiber:**\n    The problem states that the robe takes 2 bolts of blue fiber.\n\n2.  **Calculate the amount of white fiber:**\n    The problem states that it takes \"half that much\" white fiber as blue fiber.\n    Half of 2 bolts is: $2 \\div 2 = 1$ bolt.\n\n3.  **Calculate the total number of bolts:**\n    Add the blue fiber and the white fiber together:\n    $2 \\text{ (blue)} + 1 \\text{ (white)} = 3$ bolts.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 150, "stop": "stop", "seconds": 1.7449300289154053}
{"idx": 2, "text": "To find the profit Josh made, we need to calculate his total costs, the final value of the house, and then subtract the costs from the final value.\n\n**Step 1: Calculate the total cost.**\nJosh spent money on the purchase and the repairs.\nPurchase Price: $80,000\nRepair Costs: $50,000\nTotal Cost = $80,000 + $50,000 = $130,000\n\n**Step 2: Calculate the value of the house after repairs.**\nThe problem states that the repairs increased the value of the house by 150%. The \"value\" being increased refers to the original purchase price of the house.\nIncrease Amount = 150% of $80,000\nIncrease Amount = 1.50 \u00d7 $80,000 = $120,000\n\nFinal Value = Original Price + Increase Amount\nFinal Value = $80,000 + $120,000 = $200,000\n\n**Step 3: Calculate the profit.**\nProfit is the final value of the house minus the total costs incurred.\nProfit = Final Value - Total Cost\nProfit = $200,000 - $130,000 = $70,000\n\n#### 70000", "pred": "70000", "gold": "70000", "correct": true, "n_new": 305, "stop": "stop", "seconds": 3.5233428478240967}
{"idx": 3, "text": "To find the total number of meters James runs in a week, we can follow these steps:\n\n1.  **Calculate the distance run in one session:**\n    James runs 3 sprints, and each sprint is 60 meters.\n    $3 \\text{ sprints} \\times 60 \\text{ meters/sprint} = 180 \\text{ meters per session}$\n\n2.  **Calculate the total distance run per week:**\n    James runs these sessions 3 times a week.\n    $180 \\text{ meters/session} \\times 3 \\text{ sessions/week} = 540 \\text{ meters per week}$\n\nAlternatively, you can calculate the total number of sprints first:\n1.  **Total sprints per week:**\n    $3 \\text{ sprints/session} \\times 3 \\text{ sessions/week} = 9 \\text{ sprints per week}$\n2.  **Total distance:**\n    $9 \\text{ sprints} \\times 60 \\text{ meters/sprint} = 540 \\text{ meters}$\n\n#### 540", "pred": "540", "gold": "540", "correct": true, "n_new": 246, "stop": "stop", "seconds": 2.527444839477539}
{"idx": 4, "text": "To find the total number of cups of feed needed for the final meal, we can follow these steps:\n\n1.  **Determine the total amount of feed per chicken per day:**\n    Wendi feeds each chicken 3 cups of feed every day.\n\n2.  **Determine the total amount of feed for the entire flock per day:**\n    There are 20 chickens in the flock.\n    Total feed = 20 chickens \u00d7 3 cups per chicken = 60 cups.\n\n3.  **Calculate the amount of feed already given:**\n    Wendi gave feed in the morning and the afternoon.\n    Morning feed = 15 cups\n    Afternoon feed = 25 cups\n    Total feed given so far = 15 + 25 = 40 cups.\n\n4.  **Calculate the amount of feed needed for the final meal:**\n    Subtract the feed already given from the total daily feed required.\n    Final meal = Total feed - Feed given so far\n    Final meal = 60 cups - 40 cups = 20 cups.\n\n#### 20", "pred": "20", "gold": "20", "correct": true, "n_new": 237, "stop": "stop", "seconds": 2.8370916843414307}
{"idx": 5, "text": "To find the total cost for 16 glasses, we need to break down the pricing structure described in the problem.\n\n**Step 1: Determine the price of the first glass.**\nThe first glass costs $5.\n\n**Step 2: Determine the price of the subsequent glasses.**\nEvery second glass (the 2nd, 4th, 6th, etc.) costs 60% of the price of the first glass.\nPrice of a \"second\" glass = $5 \\times 0.60 = \\$3$.\n\n**Step 3: Interpret the pricing rule.**\nThe phrasing \"every second glass costs only 60% of the price\" implies a pattern where the glasses alternate in price.\n- Glass 1: $5\n- Glass 2: $3\n- Glass 3: $5\n- Glass 4: $3\n... and so on.\n\n**Step 4: Calculate the number of glasses at each price point.**\nKylar wants to buy 16 glasses in total. Since the prices alternate every glass:\n- Number of glasses at $5 = 16 / 2 = 8$ glasses.\n- Number of glasses at $3 = 16 / 2 = 8$ glasses.\n\n**Step 5: Calculate the total cost.**\nCost of the $5 glasses = $8 \\times 5 = \\$40$\nCost of the $3 glasses = $8 \\times 3 = \\$24$\nTotal Cost = $\\$40 + \\$24 = \\$64$\n\n#### 64", "pred": "64", "gold": "64", "correct": true, "n_new": 340, "stop": "stop", "seconds": 4.2046144008636475}
{"idx": 6, "text": "To find the total number of sheep for all three cities, we can follow these steps:\n\n1.  **Identify the number of sheep in Seattle:**\n    The problem states that Seattle has 20 sheep.\n    Seattle = 20\n\n2.  **Calculate the number of sheep in Charleston:**\n    The problem states that Charleston has 4 times as many sheep as Seattle.\n    Charleston = 4 \u00d7 Seattle\n    Charleston = 4 \u00d7 20 = 80\n\n3.  **Calculate the number of sheep in Toulouse:**\n    The problem states that Toulouse has twice as many sheep as Charleston.\n    Toulouse = 2 \u00d7 Charleston\n    Toulouse = 2 \u00d7 80 = 160\n\n4.  **Calculate the total number of sheep:**\n    Total = Toulouse + Charleston + Seattle\n    Total = 160 + 80 + 20\n    Total = 240 + 20 = 260\n\n#### 260", "pred": "260", "gold": "260", "correct": true, "n_new": 221, "stop": "stop", "seconds": 2.319237470626831}
{"idx": 7, "text": "To find the total time it takes for Carla to download the file, we break the process into three stages:\n\n**Step 1: Calculate the time spent on the first attempt.**\nCarla downloads the file at a rate of 2 GB/minute.\nThe total file size is 200 GB.\nShe reaches 40% of the download before the restart.\nDistance downloaded = $200 \\text{ GB} \\times 0.40 = 80 \\text{ GB}$.\nTime spent downloading 80 GB = $\\frac{80 \\text{ GB}}{2 \\text{ GB/min}} = 40 \\text{ minutes}$.\n\n**Step 2: Account for the system restart.**\nWindows forces a restart which takes 20 minutes.\nTime spent during restart = $20 \\text{ minutes}$.\n\n**Step 3: Calculate the time spent on the second attempt.**\nBecause the download restarts from the beginning, she must download the entire 200 GB file again at the same speed.\nTime spent downloading 200 GB = $\\frac{200 \\text{ GB}}{2 \\text{ GB/min}} = 100 \\text{ minutes}$.\n\n**Step 4: Calculate the total time.**\nTotal time = (Time for first 40%) + (Restart time) + (Time for full download)\nTotal time = $40 \\text{ minutes} + 20 \\text{ minutes} + 100 \\text{ minutes} = 160 \\text{ minutes}$.\n\n#### 160", "pred": "160", "gold": "160", "correct": true, "n_new": 345, "stop": "stop", "seconds": 4.5829854011535645}
{"idx": 8, "text": "To find out how far John is from home, we need to calculate the distance he traveled away from home and subtract the distance he traveled back toward home.\n\n**Step 1: Calculate the distance John traveled away from home.**\nJohn drove for 3 hours at a speed of 60 mph.\nDistance = Speed \u00d7 Time\nDistance = 60 mph \u00d7 3 hours = 180 miles.\nSo, John is 180 miles away from home when he turns around.\n\n**Step 2: Calculate the distance John traveled back toward home during the 4-hour return trip.**\nThe return trip is divided into three segments:\n1.  **Standstill traffic:** He spent 2 hours in standstill traffic.\n    Distance = 0 mph \u00d7 2 hours = 0 miles.\n2.  **Driving at 30 mph:** He spent the next half-hour (0.5 hours) driving at 30 mph.\n    Distance = 30 mph \u00d7 0.5 hours = 15 miles.\n3.  **Driving at 80 mph:** He spent the remaining time of the 4 hours driving at 80 mph.\n    Time remaining = Total return time - (Time in traffic + Time at 30 mph)\n    Time remaining = 4 hours - (2 hours + 0.5 hours) = 4 hours - 2.5 hours = 1.5 hours.\n    Distance = 80 mph \u00d7 1.5 hours = 120 miles.\n\n**Step 3: Calculate the total distance traveled toward home.**\nTotal distance back = 0 miles + 15 miles + 120 miles = 135 miles.\n\n**Step 4: Calculate the final distance from home.**\nInitial distance away = 180 miles.\nDistance traveled back = 135 miles.\nFinal distance from home = 180 miles - 135 miles = 45 miles.\n\n#### 45", "pred": "45", "gold": "45", "correct": true, "n_new": 434, "stop": "stop", "seconds": 5.2790000438690186}
{"idx": 9, "text": "To calculate Eliza's total earnings for the week, we need to break the calculation into two parts: regular pay and overtime pay.\n\n**Step 1: Calculate regular earnings.**\nEliza works at a rate of $10 per hour for the first 40 hours.\nRegular earnings = 40 hours \u00d7 $10/hour\nRegular earnings = $400\n\n**Step 2: Calculate the overtime rate.**\nOvertime pay is 1.2 times her regular hourly rate.\nOvertime rate = $10 \u00d7 1.2\nOvertime rate = $12 per hour\n\n**Step 3: Calculate overtime hours and pay.**\nEliza worked a total of 45 hours. The hours exceeding 40 are considered overtime.\nOvertime hours = 45 hours - 40 hours = 5 hours\nOvertime pay = 5 hours \u00d7 $12/hour\nOvertime pay = $60\n\n**Step 4: Calculate total earnings.**\nTotal earnings = Regular earnings + Overtime pay\nTotal earnings = $400 + $60\nTotal earnings = $460\n\n#### 460", "pred": "460", "gold": "460", "correct": true, "n_new": 250, "stop": "stop", "seconds": 3.0512583255767822}
{"idx": 10, "text": "To find the total number of downloads over the three months, we will calculate the downloads for each month step by step.\n\n**Step 1: Identify the downloads for the first month.**\nThe problem states that the program had 60 downloads in the first month.\nMonth 1 = 60\n\n**Step 2: Calculate the downloads for the second month.**\nThe number of downloads in the second month was three times as many as the first month.\nMonth 2 = 60 \u00d7 3 = 180\n\n**Step 3: Calculate the downloads for the third month.**\nThe downloads in the third month were reduced by 30% from the second month's total.\nFirst, find 30% of the second month's downloads:\n30% of 180 = 0.30 \u00d7 180 = 54\nThen, subtract that reduction from the second month's total:\nMonth 3 = 180 - 54 = 126\n\n**Step 4: Calculate the total downloads over the three months.**\nAdd the totals for Month 1, Month 2, and Month 3:\nTotal = 60 + 180 + 126\nTotal = 240 + 126\nTotal = 366\n\n#### 366", "pred": "366", "gold": "366", "correct": true, "n_new": 295, "stop": "stop", "seconds": 3.27043080329895}
{"idx": 11, "text": "To find the total cost of the pastries Toula bought, we need to calculate the cost for each type of pastry and then sum them up.\n\n**Step 1: Calculate the cost of the donuts.**\nToula bought 3 dozen donuts at $68 per dozen.\nCost = 3 \u00d7 $68\n3 \u00d7 60 = 180\n3 \u00d7 8 = 24\n180 + 24 = $204\n\n**Step 2: Calculate the cost of the mini cupcakes.**\nToula bought 2 dozen mini cupcakes at $80 per dozen.\nCost = 2 \u00d7 $80\n2 \u00d7 80 = $160\n\n**Step 3: Calculate the cost of the mini cheesecakes.**\nToula bought 6 dozen mini cheesecakes at $55 per dozen.\nCost = 6 \u00d7 $55\n6 \u00d7 50 = 300\n6 \u00d7 5 = 30\n300 + 30 = $330\n\n**Step 4: Calculate the total cost.**\nTotal Cost = Cost of donuts + Cost of cupcakes + Cost of cheesecakes\nTotal Cost = $204 + $160 + $330\n204 + 160 = 364\n364 + 330 = 694\n\nThe total cost was $694.\n\n#### 694", "pred": "694", "gold": "694", "correct": true, "n_new": 316, "stop": "stop", "seconds": 3.1152637004852295}
{"idx": 12, "text": "To find out how many years it will take for Carlos to start earning money, we need to calculate his annual profit and determine how many years of profit are required to cover the initial cost.\n\n**Step 1: Calculate the annual revenue from the lemons.**\nEach year, the tree produces 7 lemons, and each lemon sells for $1.50.\n$7 \\text{ lemons} \\times \\$1.50/\\text{lemon} = \\$10.50$\n\n**Step 2: Calculate the annual profit.**\nThe annual profit is the revenue minus the annual maintenance costs (watering and feeding).\n$\\text{Annual Profit} = \\$10.50 (\\text{Revenue}) - \\$3.00 (\\text{Costs}) = \\$7.50$\n\n**Step 3: Calculate the number of years to cover the initial cost.**\nThe initial cost to plant the tree is $90. We divide the total cost by the annual profit to find the number of years.\n$\\text{Years} = \\$90 \\div \\$7.50$\n\nTo simplify the division:\n$90 \\div 7.5 = 900 \\div 75$\n$900 \\div 75 = 12$\n\n**Step 4: Determine when he starts \"earning money\".**\nAfter 12 years, Carlos will have recovered exactly $90 ($7.50 \\times 12 = 90$). Therefore, in the 13th year, he will begin to have a net profit over the initial investment.\n\nHowever, in mathematical word problems of this type, \"how many years will it take before he starts earning\" usually refers to the point where the cumulative profit meets or exceeds the initial cost. Since he reaches the break-even point at exactly 12 years, he starts \"earning\" (having a surplus) starting from the 13th year. \n\nLet's re-verify:\nYear 12: Total profit = $90 (Break even)\nYear 13: Total profit = $97.50 (First year of actual profit)\n\nSince the question asks how many years it will take *before* he starts earning (meaning the duration of the investment period), it takes 12 years to pay off the cost.\n\n#### 12", "pred": "12", "gold": "13", "correct": false, "n_new": 507, "stop": "stop", "seconds": 6.9391539096832275}
{"idx": 13, "text": "To find the total number of vacuum cleaners Melanie started with, we can work backward from the final amount.\n\n1.  **Identify the final amount:**\n    Melanie has 5 vacuum cleaners left after her last sale.\n\n2.  **Reverse the sale at the orange house:**\n    She sold half of what was left at the orange house, which means the 5 vacuum cleaners she has left represent the other half.\n    $5 \\times 2 = 10$\n    So, she had 10 vacuum cleaners before visiting the orange house.\n\n3.  **Reverse the sale at the red house:**\n    She sold 2 vacuum cleaners to the red house. To find out how many she had before this sale, we add those 2 back.\n    $10 + 2 = 12$\n    So, she had 12 vacuum cleaners before visiting the red house.\n\n4.  **Reverse the sale at the green house:**\n    She sold a third of her vacuum cleaners at the green house. This means the 12 vacuum cleaners she had left represent two-thirds ($2/3$) of her original total.\n    If $2/3$ of the total = 12, then $1/3$ of the total = $12 \\div 2 = 6$.\n    The full total ($3/3$) is $6 \\times 3 = 18$.\n\n**Verification:**\n- Start with 18.\n- Green house: Sells a third ($18 \\div 3 = 6$). Remaining: $18 - 6 = 12$.\n- Red house: Sells 2. Remaining: $12 - 2 = 10$.\n- Orange house: Sells half ($10 \\div 2 = 5$). Remaining: $10 - 5 = 5$.\nThe numbers match.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 414, "stop": "stop", "seconds": 5.265782594680786}
{"idx": 14, "text": "To find the percentage of students enrolled in hip-hop dance, we can follow these steps:\n\n1.  **Find the number of students in contemporary dance:**\n    The total number of students is 20.\n    20% of 20 = $0.20 \\times 20 = 4$ students.\n\n2.  **Find the number of remaining students:**\n    Subtract the contemporary dance students from the total.\n    $20 - 4 = 16$ students remaining.\n\n3.  **Find the number of students in jazz dance:**\n    25% of the remaining 16 students enrolled in jazz.\n    25% of 16 = $0.25 \\times 16 = 4$ students.\n\n4.  **Find the number of students in hip-hop dance:**\n    Subtract the jazz dance students from the remaining students.\n    $16 - 4 = 12$ students.\n\n5.  **Calculate the percentage of the entire class enrolled in hip-hop dance:**\n    Divide the number of hip-hop students by the total number of students and multiply by 100.\n    $\\frac{12}{20} \\times 100 = 0.6 \\times 100 = 60\\%$.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 292, "stop": "stop", "seconds": 3.057279109954834}
{"idx": 15, "text": "To find the maximum profit the merchant can achieve, we need to calculate the projected profit for both purchase plans and compare them.\n\n**Step 1: Calculate the profit from the jewelry purchase.**\n- Initial value of jewelry: $5,000\n- Expected growth rate: 2.5%\n- Profit calculation: $5,000 \\times 0.025$\n- $5,000 \\times 0.025 = 125$\n- The profit from the jewelry is $125.\n\n**Step 2: Calculate the profit from the electronic gadgets purchase.**\n- Initial value of electronics: $8,000\n- Expected growth rate: 1.2%\n- Profit calculation: $8,000 \\times 0.012$\n- $8,000 \\times 0.012 = 96$\n- The profit from the electronic gadgets is $96.\n\n**Step 3: Compare the profits to find the maximum.**\n- Profit from Jewelry: $125\n- Profit from Electronics: $96\n- Since $125 > $96, the merchant maximizes his profit by choosing the jewelry.\n\nThe maximum profit the merchant would make is $125.\n\n#### 125", "pred": "125", "gold": "125", "correct": true, "n_new": 287, "stop": "stop", "seconds": 3.6169283390045166}
{"idx": 16, "text": "To find the total distance covered by each train, we can break the problem down into the distance traveled on each day.\n\n**Step 1: Calculate the distance traveled on the first day.**\nBoth trains travel westward for 80 miles.\nDistance on Day 1 = 80 miles.\n\n**Step 2: Calculate the distance traveled on the second day.**\nBoth trains travel northwards for 150 miles.\nDistance on Day 2 = 150 miles.\n\n**Step 3: Calculate the total distance for each train.**\nSince both trains followed the same path and distances, we add the distance from Day 1 and Day 2 together:\nTotal Distance = Distance on Day 1 + Distance on Day 2\nTotal Distance = 80 miles + 150 miles\nTotal Distance = 230 miles.\n\nEach train covered a total distance of 230 miles.\n\n#### 230", "pred": "230", "gold": "230", "correct": true, "n_new": 202, "stop": "stop", "seconds": 2.475476026535034}
{"idx": 17, "text": "To find Jill's annual salary, we need to calculate her weekly earnings for each job and then multiply the total weekly earnings by the number of weeks she works per year.\n\n**Step 1: Calculate weekly earnings as a teacher.**\nJill works 35 hours a week as a teacher at a rate of $20 per hour.\n$35 \\text{ hours} \\times \\$20/\\text{hour} = \\$700$\n\n**Step 2: Calculate weekly earnings as a cheerleading coach.**\nJill works 15 hours a week as a coach at a rate of $30 per hour.\n$15 \\text{ hours} \\times \\$30/\\text{hour} = \\$450$\n\n**Step 3: Calculate total weekly earnings.**\nAdd the earnings from both jobs together.\n$\\$700 + \\$450 = \\$1,150$\n\n**Step 4: Calculate annual salary.**\nMultiply the total weekly earnings by the number of weeks worked per year (50 weeks).\n$\\$1,150 \\times 50 = \\$57,500$\n\n#### 57500", "pred": "57500", "gold": "57500", "correct": true, "n_new": 254, "stop": "stop", "seconds": 2.6918492317199707}
{"idx": 18, "text": "To find out how many dozens of eggs Claire eats in 4 weeks, we can follow these steps:\n\n1.  **Calculate the number of eggs eaten per day:**\n    Claire eats 3 eggs every morning.\n    Eggs per day = 3\n\n2.  **Calculate the number of eggs eaten per week:**\n    There are 7 days in a week.\n    Eggs per week = 3 eggs/day \u00d7 7 days/week = 21 eggs/week\n\n3.  **Calculate the total number of eggs eaten in 4 weeks:**\n    Eggs in 4 weeks = 21 eggs/week \u00d7 4 weeks = 84 eggs\n\n4.  **Convert the total number of eggs into dozens:**\n    There are 12 eggs in one dozen.\n    Dozens = 84 eggs \u00f7 12 eggs/dozen = 7 dozens\n\n#### 7", "pred": "7", "gold": "7", "correct": true, "n_new": 194, "stop": "stop", "seconds": 2.314284563064575}
{"idx": 19, "text": "To find the speed Marissa needs to walk the remaining distance, we can follow these steps:\n\n**1. Determine the total distance and the required total time:**\n*   Total distance = 12 miles.\n*   Desired average speed = 4 miles per hour.\n*   Total time required = Total distance / Average speed = $12 \\text{ miles} / 4 \\text{ mph} = 3 \\text{ hours}$.\n\n**2. Calculate the distance and time already covered:**\n*   First segment: Distance = 4 miles, Time = 1 hour.\n*   Second segment: Distance = 2 miles, Time = 1 hour.\n*   Total distance covered so far = $4 + 2 = 6 \\text{ miles}$.\n*   Total time spent so far = $1 + 1 = 2 \\text{ hours}$.\n\n**3. Calculate the remaining distance and time:**\n*   Remaining distance = Total distance - Distance covered = $12 - 6 = 6 \\text{ miles}$.\n*   Remaining time = Total time required - Time spent = $3 - 2 = 1 \\text{ hour}$.\n\n**4. Calculate the required speed for the remaining distance:**\n*   Required speed = Remaining distance / Remaining time\n*   Required speed = $6 \\text{ miles} / 1 \\text{ hour} = 6 \\text{ miles per hour}$.\n\n#### 6", "pred": "6", "gold": "6", "correct": true, "n_new": 308, "stop": "stop", "seconds": 3.424588680267334}
{"idx": 20, "text": "To find the total amount of water in the final mixture, we need to calculate the amount of water in each drink separately, accounting for the spill.\n\n**Step 1: Calculate the initial water in the orange drink.**\nThe orange drink has a total volume of 10 liters.\nIt is two-thirds water.\n$\\text{Water in orange drink} = 10 \\times \\frac{2}{3} = \\frac{20}{3} \\text{ liters}$\n\n**Step 2: Account for the spill.**\nOne liter of the orange drink is spilled. Since the orange drink is a uniform mixture, the spilled liter contains the same proportion of water as the rest of the drink ($\\frac{2}{3}$).\n$\\text{Water spilled} = 1 \\times \\frac{2}{3} = \\frac{2}{3} \\text{ liters}$\n$\\text{Remaining water in orange drink} = \\frac{20}{3} - \\frac{2}{3} = \\frac{18}{3} = 6 \\text{ liters}$\n\n**Step 3: Calculate the water in the pineapple drink.**\nThe pineapple drink has a total volume of 15 liters.\nIt is three-fifths water.\n$\\text{Water in pineapple drink} = 15 \\times \\frac{3}{5} = 3 \\times 3 = 9 \\text{ liters}$\n\n**Step 4: Calculate the total volume and total water.**\nThe remaining orange drink is $10 - 1 = 9$ liters.\nThe pineapple drink is 15 liters.\nTotal volume = $9 + 15 = 24$ liters (which matches the problem statement).\n\nTotal water = $\\text{Water in remaining orange drink} + \\text{Water in pineapple drink}$\n$\\text{Total water} = 6 + 9 = 15 \\text{ liters}$\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 419, "stop": "stop", "seconds": 4.803697347640991}
{"idx": 21, "text": "To find out how many years ago Raymond's son was born, we can follow these steps:\n\n1.  **Determine Raymond's current age:**\n    Samantha is currently 31 years old. Since Raymond was born 6 years before Samantha, he is 6 years older than her.\n    $31 + 6 = 37$ years old.\n\n2.  **Determine the year Raymond's son was born relative to Raymond's age:**\n    Raymond had his son when he was 23 years old.\n\n3.  **Calculate how many years ago the son was born:**\n    To find out how many years ago the son was born, subtract the age Raymond was when the son was born from Raymond's current age.\n    $37 - 23 = 14$ years.\n\nAlternatively, we can calculate the son's current age first:\nRaymond is 37. He had a son when he was 23.\n$37 - 23 = 14$. The son is currently 14 years old.\nSince the son is 14 years old now, he was born 14 years ago.\n\n#### 14", "pred": "14", "gold": "14", "correct": true, "n_new": 258, "stop": "stop", "seconds": 3.514408826828003}
{"idx": 22, "text": "To find the total number of DVDs Billy sold, we can break down the transactions by customer groups:\n\n1.  **First group of customers:**\n    There are 3 customers who buy 1 DVD each.\n    $3 \\times 1 = 3$ DVDs.\n\n2.  **Second group of customers:**\n    There are 2 customers who buy 2 DVDs each.\n    $2 \\times 2 = 4$ DVDs.\n\n3.  **Third group of customers:**\n    There are 3 customers who buy 0 DVDs.\n    $3 \\times 0 = 0$ DVDs.\n\n4.  **Total DVDs sold:**\n    Add the DVDs from all groups together:\n    $3 + 4 + 0 = 7$ DVDs.\n\n(Note: The problem mentions 8 customers total. Let's check the count: 3 + 2 + 3 = 8. The count matches the total number of customers.)\n\n#### 7", "pred": "7", "gold": "7", "correct": true, "n_new": 213, "stop": "stop", "seconds": 2.3678531646728516}
{"idx": 23, "text": "To find out how many centimeters shorter the candle will be, we can follow these steps:\n\n1.  **Determine the total time elapsed:**\n    The candle burns from 1:00 PM to 5:00 PM.\n    $5:00 - 1:00 = 4$ hours.\n\n2.  **Identify the rate of melting:**\n    The candle melts by 2 centimeters every hour.\n\n3.  **Calculate the total distance melted:**\n    Multiply the total time by the rate of melting:\n    $4 \\text{ hours} \\times 2 \\text{ cm/hour} = 8 \\text{ cm}$.\n\nThe candle will be 8 centimeters shorter.\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 157, "stop": "stop", "seconds": 1.6959314346313477}
{"idx": 24, "text": "To find the original price of the book, we can follow these steps:\n\n1.  **Identify the given information:**\n    *   Sale Price = $19.50\n    *   Discount Rate = 25%\n\n2.  **Understand the relationship between the prices:**\n    The sale price is the original price minus the discount. If the discount is 25%, it means Kyle paid 75% of the original price (since 100% - 25% = 75%).\n\n3.  **Set up the equation:**\n    Let $x$ be the original price.\n    $0.75 \\times x = 19.50$\n\n4.  **Solve for $x$:**\n    To find $x$, divide the sale price by the percentage paid (in decimal form):\n    $x = \\frac{19.50}{0.75}$\n\n5.  **Perform the calculation:**\n    To make the division easier, you can multiply both the numerator and the denominator by 100 to remove the decimals:\n    $x = \\frac{1950}{75}$\n    \n    Divide 1950 by 75:\n    $1950 \\div 75 = 26$\n\n    (Verification: $26 \\times 0.75 = 19.50$. Also, $26 \\times 0.25 = 6.50$. $26 - 6.50 = 19.50$.)\n\nThe original price of the book was $26.00.\n\n#### 26.00", "pred": "26", "gold": "26", "correct": true, "n_new": 367, "stop": "stop", "seconds": 3.947338819503784}
{"idx": 25, "text": "To find the number of boxes of pizza Marie ordered, we can follow these steps:\n\n1.  **Calculate the cost of the chicken meal:**\n    The cost is given as $12.\n\n2.  **Calculate the total cost of the milk:**\n    Marie bought 5 packs of milk at $3 each.\n    $5 \\times \\$3 = \\$15$.\n\n3.  **Calculate the total cost of the apples:**\n    Marie bought 4 apples at $1.50 each.\n    $4 \\times \\$1.50 = \\$6$.\n\n4.  **Calculate the subtotal of the items excluding the pizza:**\n    Add the costs of the chicken, milk, and apples.\n    $\\$12 + \\$15 + \\$6 = \\$33$.\n\n5.  **Calculate the total amount spent on pizza:**\n    Subtract the subtotal from the total amount paid.\n    $\\$50 - \\$33 = \\$17$.\n\n6.  **Calculate the number of pizza boxes:**\n    Divide the total pizza cost by the price per box ($8.50).\n    $\\$17 \\div \\$8.50 = 2$.\n\nMarie ordered 2 boxes of pizza.\n\n#### 2", "pred": "2", "gold": "2", "correct": true, "n_new": 270, "stop": "stop", "seconds": 3.0579073429107666}
{"idx": 26, "text": "To find the total amount Mishka spent, we need to calculate the cost for each type of item and then sum them up.\n\n**Step 1: Calculate the cost of the shorts.**\nMishka bought 3 pairs of shorts, and each pair costs $16.50.\n$3 \\times 16.50 = 49.50$\nSo, the total cost for the shorts is $49.50.\n\n**Step 2: Calculate the cost of the pants.**\nMishka bought 3 pairs of pants, and each pair costs $22.50.\n$3 \\times 22.50 = 67.50$\nSo, the total cost for the pants is $67.50.\n\n**Step 3: Calculate the cost of the shoes.**\nMishka bought 3 pairs of shoes, and each pair costs $42.00.\n$3 \\times 42.00 = 126.00$\nSo, the total cost for the shoes is $126.00.\n\n**Step 4: Calculate the total cost of all items.**\nAdd the totals from the three categories together:\n$49.50 + 67.50 + 126.00$\n\nFirst, add the shorts and pants:\n$49.50 + 67.50 = 117.00$\n\nNext, add the shoes:\n$117.00 + 126.00 = 243.00$\n\nMishka spent a total of $243.00.\n\n#### 243", "pred": "243", "gold": "243", "correct": true, "n_new": 375, "stop": "stop", "seconds": 4.015328884124756}
{"idx": 27, "text": "To find out how much Cynthia will spend on ice cream after 60 days, we can follow these steps:\n\n1.  **Determine the total number of servings needed:**\n    Cynthia eats one serving every night for 60 days.\n    Total servings = 60 days \u00d7 1 serving/day = 60 servings.\n\n2.  **Calculate the number of cartons needed:**\n    Each carton contains 15 servings. To find the number of cartons, divide the total servings by the servings per carton.\n    Number of cartons = 60 servings \u00f7 15 servings/carton = 4 cartons.\n\n3.  **Calculate the total cost:**\n    Each carton costs $4.00. To find the total cost, multiply the number of cartons by the cost per carton.\n    Total cost = 4 cartons \u00d7 $4.00/carton = $16.00.\n\n#### 16", "pred": "16", "gold": "16", "correct": true, "n_new": 203, "stop": "stop", "seconds": 2.1151070594787598}
{"idx": 28, "text": "To find the distance Henry traveled between his first and second stops, we can follow these steps:\n\n1.  **Identify the total distance of the trip:**\n    The total distance is 60 miles.\n\n2.  **Determine the location of the first stop:**\n    Henry stopped after 20 miles.\n    First stop = 20 miles from the start.\n\n3.  **Determine the location of the second stop:**\n    The second stop was 15 miles before the end of the trip.\n    To find the distance from the start, subtract 15 miles from the total distance:\n    $60 - 15 = 45$ miles.\n    Second stop = 45 miles from the start.\n\n4.  **Calculate the distance between the two stops:**\n    Subtract the location of the first stop from the location of the second stop:\n    $45 - 20 = 25$ miles.\n\nHenry traveled 25 miles between his first and second stops.\n\n#### 25", "pred": "25", "gold": "25", "correct": true, "n_new": 224, "stop": "stop", "seconds": 2.3184123039245605}
{"idx": 29, "text": "To find the cost of the boots, we can follow these steps:\n\n1.  **Determine the cost of the first pair of high heels:**\n    The problem states that one pair of heels costs $33.\n\n2.  **Determine the cost of the second pair of high heels:**\n    The problem states that the other pair costs twice as much as the first pair.\n    $33 \\times 2 = 66$\n    So, the second pair costs $66.\n\n3.  **Calculate the total cost of both pairs of high heels:**\n    Add the costs of the two pairs together.\n    $33 + 66 = 99$\n    The total cost for the two pairs of heels is $99.\n\n4.  **Determine the cost of the boots:**\n    The problem states that the two pairs of heels together cost five dollars less than the boots. This means the boots cost five dollars more than the total cost of the heels.\n    $99 + 5 = 104$\n\nThe boots cost $104.\n\n#### 104", "pred": "104", "gold": "104", "correct": true, "n_new": 240, "stop": "stop", "seconds": 2.692326784133911}
{"idx": 30, "text": "To find Allen's age 10 years from now, we can follow these steps:\n\n**Step 1: Determine the total parts in the ratio.**\nThe ratio of Darrell's age to Allen's age is 7:11.\nTotal parts = 7 + 11 = 18 parts.\n\n**Step 2: Calculate the value of one \"part\".**\nThe sum of their current ages is 162.\nValue of one part = Total age / Total parts\nValue of one part = 162 / 18\nValue of one part = 9.\n\n**Step 3: Calculate Allen's current age.**\nAllen's age corresponds to 11 parts of the ratio.\nAllen's current age = 11 parts \u00d7 9\nAllen's current age = 99.\n\n**Step 4: Calculate Allen's age 10 years from now.**\nAllen's future age = Current age + 10\nAllen's future age = 99 + 10\nAllen's future age = 109.\n\n#### 109", "pred": "109", "gold": "109", "correct": true, "n_new": 248, "stop": "stop", "seconds": 3.1010680198669434}
{"idx": 31, "text": "To find the average guess, we need to determine the value of each friend's guess and then calculate the mean.\n\n**Step 1: Identify the first guess.**\nThe first friend says there are **80** jelly beans.\n\n**Step 2: Calculate the second guess.**\nThe second friend says there are 20 more than half of the first guess.\nHalf of the first guess: $80 / 2 = 40$\n20 more than that: $40 + 20 = 60$\nThe second guess is **60**.\n\n**Step 3: Calculate the third guess.**\nThe third friend says there are 25% more than the first guess.\n25% of the first guess: $0.25 \\times 80 = 20$\nThe first guess plus 20%: $80 + 20 = 100$\nThe third guess is **100**.\n\n**Step 4: Calculate the average.**\nTo find the average, add the three guesses together and divide by 3.\nSum of guesses: $80 + 60 + 100 = 240$\nAverage: $240 / 3 = 80$\n\n#### 80", "pred": "80", "gold": "80", "correct": true, "n_new": 279, "stop": "stop", "seconds": 3.2150516510009766}
{"idx": 32, "text": "To find the total number of hours John spends taking care of dogs per week, we can follow these steps:\n\n1.  **Calculate the time spent per day for all dogs:**\n    John has 10 dogs, and each dog requires 0.5 hours of care per day.\n    $10 \\text{ dogs} \\times 0.5 \\text{ hours/dog} = 5 \\text{ hours per day}$\n\n2.  **Calculate the time spent per week:**\n    There are 7 days in a week. To find the weekly total, multiply the daily total by 7.\n    $5 \\text{ hours/day} \\times 7 \\text{ days/week} = 35 \\text{ hours per week}$\n\n#### 35", "pred": "35", "gold": "35", "correct": true, "n_new": 169, "stop": "stop", "seconds": 1.9012722969055176}
{"idx": 33, "text": "To find the number of gold coins Gretchen has, we can follow these steps:\n\n1.  **Identify the variables:**\n    Let $G$ be the number of gold coins.\n    Let $S$ be the number of silver coins.\n\n2.  **Set up the equations based on the problem:**\n    The total number of coins is 110:\n    $G + S = 110$\n    There are 30 more gold coins than silver coins:\n    $G = S + 30$\n\n3.  **Substitute the second equation into the first:**\n    Replace $G$ in the first equation with $(S + 30)$:\n    $(S + 30) + S = 110$\n\n4.  **Solve for $S$ (silver coins):**\n    $2S + 30 = 110$\n    Subtract 30 from both sides:\n    $2S = 80$\n    Divide by 2:\n    $S = 40$\n\n5.  **Solve for $G$ (gold coins):**\n    Use the equation $G = S + 30$:\n    $G = 40 + 30$\n    $G = 70$\n\n6.  **Verify the answer:**\n    Total coins: $70 + 40 = 110$ (Correct)\n    Difference: $70 - 40 = 30$ (Correct)\n\nGretchen has 70 gold coins.\n\n#### 70", "pred": "70", "gold": "70", "correct": true, "n_new": 346, "stop": "stop", "seconds": 3.4208316802978516}
{"idx": 34, "text": "To find out how many jewels Siobhan has, we can solve the problem step by step based on the information provided.\n\n1.  **Identify Raymond's jewels:**\n    The problem states that Raymond has 40 jewels.\n    Raymond = 40\n\n2.  **Calculate Aaron's jewels:**\n    The problem states that Aaron has 5 more jewels than half of Raymond's jewels.\n    First, find half of Raymond's jewels:\n    $40 / 2 = 20$\n    Then, add 5 to that amount:\n    $20 + 5 = 25$\n    So, Aaron has 25 jewels.\n\n3.  **Calculate Siobhan's jewels:**\n    The problem states that Siobhan has 2 fewer jewels than Aaron.\n    Subtract 2 from Aaron's total:\n    $25 - 2 = 23$\n    So, Siobhan has 23 jewels.\n\n#### 23", "pred": "23", "gold": "23", "correct": true, "n_new": 220, "stop": "stop", "seconds": 2.3245365619659424}
{"idx": 35, "text": "To find the total number of points Mike scored, we can follow these steps:\n\n1.  **Identify the points scored in the first 20 minutes:**\n    Mike scored 4 points in the first 20 minutes.\n\n2.  **Calculate the points scored in the second 20 minutes:**\n    He scored 25% more points than in the first 20 minutes. \n    First, find 25% of the first score:\n    $25\\% \\text{ of } 4 = 0.25 \\times 4 = 1$\n    Next, add this to the first score to find the points for the second period:\n    $4 + 1 = 5$ points.\n\n3.  **Calculate the total points:**\n    Add the points from the first 20 minutes and the second 20 minutes:\n    $4 + 5 = 9$ points.\n\n#### 9", "pred": "9", "gold": "9", "correct": true, "n_new": 206, "stop": "stop", "seconds": 2.2182793617248535}
{"idx": 36, "text": "To find out how much Terry spends on yogurt over 30 days, follow these steps:\n\n1.  **Calculate the total number of yogurts Terry eats in 30 days:**\n    Terry eats 2 yogurts a day.\n    $2 \\text{ yogurts/day} \\times 30 \\text{ days} = 60 \\text{ yogurts}$.\n\n2.  **Determine how many sets of 4 yogurts are in the total amount:**\n    The sale is for 4 yogurts at a time.\n    $60 \\text{ yogurts} \\div 4 \\text{ yogurts/set} = 15 \\text{ sets}$.\n\n3.  **Calculate the total cost:**\n    Each set of 4 yogurts costs $5.00.\n    $15 \\text{ sets} \\times \\$5.00/\\text{set} = \\$75.00$.\n\n#### 75", "pred": "75", "gold": "75", "correct": true, "n_new": 210, "stop": "stop", "seconds": 2.272627592086792}
{"idx": 37, "text": "To find out how many lego sets John still has, let's follow the steps of the problem:\n\n1.  **Calculate the total money from selling the lego sets:**\n    John had 13 lego sets and sold them for $15 each.\n    $13 \\times 15 = 195$\n    So, John received $195 from selling his lego sets.\n\n2.  **Calculate the total cost of the video games:**\n    John bought 8 video games for $20 each.\n    $8 \\times 20 = 160$\n    The total cost of the video games was $160.\n\n3.  **Calculate the money remaining after buying the games:**\n    John started with $195 and spent $160.\n    $195 - 160 = 35$\n    However, the problem states he has $5 left. This implies that the \"money left\" refers to the difference between the money he had after selling the sets and the money he spent. \n\n    *Wait, let's re-read carefully:* \"John plans to sell **all** his toys... He has 13 lego sets and he sells them for $15 each.\"\n    If he sells **all** of them, he has 0 sets left. \n\n    Let's check the math to see if the \"leftover\" money matches the description:\n    Total money from 13 sets = $195.\n    Cost of games = $160.\n    Remaining money = $195 - $160 = $35.\n    The problem says he has $5 left. This suggests he did not sell all 13 sets, or some sets were not sold. \n\n4.  **Determine how many sets he actually sold:**\n    Let $x$ be the number of sets he sold.\n    Money from sales = $15x$\n    Money spent = $160$\n    Money left = $5$\n    Equation: $15x - 160 = 5$\n    $15x = 165$\n    $x = 165 / 15$\n    $x = 11$\n    John sold 11 sets.\n\n5.  **Calculate how", "pred": "5", "gold": "2", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.4519383907318115}
{"idx": 38, "text": "To find out how fast John runs, we need to determine his total running time and then divide his total distance by that time.\n\n**Step 1: Determine the time spent running each day.**\n*   Day 1: John runs for 3 hours.\n*   Day 2: He runs half as much as the first day. $3 \\text{ hours} \\div 2 = 1.5 \\text{ hours}$.\n*   Day 3: He runs the same amount as Day 2. $1.5 \\text{ hours}$.\n\n**Step 2: Calculate the total time spent running per week.**\n*   Total time = Day 1 + Day 2 + Day 3\n*   Total time = $3 + 1.5 + 1.5 = 6 \\text{ hours}$.\n\n**Step 3: Determine the total distance run per week.**\n*   The problem states John runs 60 miles a week.\n\n**Step 4: Calculate the speed.**\n*   Speed = Total Distance $\\div$ Total Time\n*   Speed = $60 \\text{ miles} \\div 6 \\text{ hours}$\n*   Speed = $10 \\text{ miles per hour}$.\n\n#### 10", "pred": "10", "gold": "10", "correct": true, "n_new": 270, "stop": "stop", "seconds": 3.044799327850342}
{"idx": 39, "text": "To find the total distance Dana can travel, we need to determine her speeds for walking and running, and then calculate the distance covered in each activity based on the time spent.\n\n**Step 1: Determine the speed for skipping.**\nThe problem states that Dana can skip at a rate of 3 miles per hour.\n$\\text{Skipping speed} = 3 \\text{ mph}$\n\n**Step 2: Determine the speed for running.**\nThe problem states that she can skip at a rate of speed that is half as fast as she can run. This means her running speed is twice her skipping speed.\n$\\text{Running speed} = 3 \\text{ mph} \\times 2 = 6 \\text{ mph}$\n\n**Step 3: Determine the speed for walking.**\nThe problem states that she can run at a rate of speed four times faster than she can walk. This means her walking speed is one-fourth of her running speed.\n$\\text{Walking speed} = \\frac{6 \\text{ mph}}{4} = 1.5 \\text{ mph}$\n\n**Step 4: Determine the time spent on each activity.**\nThe total time spent is 6 hours.\n- Time spent running: $\\frac{1}{3} \\times 6 \\text{ hours} = 2 \\text{ hours}$\n- Time spent walking: $\\frac{2}{3} \\times 6 \\text{ hours} = 4 \\text{ hours}$\n\n**Step 5: Calculate the distance traveled for each activity.**\n- Distance while running: $\\text{Speed} \\times \\text{Time} = 6 \\text{ mph} \\times 2 \\text{ hours} = 12 \\text{ miles}$\n- Distance while walking: $\\text{Speed} \\times \\text{Time} = 1.5 \\text{ mph} \\times 4 \\text{ hours} = 6 \\text{ miles}$\n\n**Step 6: Calculate the total distance.**\n$\\text{Total distance} = 12 \\text{ miles} + 6 \\text{ miles} = 18 \\text{ miles}$\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 467, "stop": "stop", "seconds": 5.0176308155059814}
{"idx": 40, "text": "To find the age of Brandon's iPhone, we can solve the problem step by step based on the information provided:\n\n1.  **Identify Suzy's iPhone age:**\n    The problem states that Suzy's iPhone is 1 year old.\n    *Suzy's iPhone = 1 year*\n\n2.  **Find Ben's iPhone age:**\n    The problem states that Ben's iPhone is two times older than Suzy's iPhone.\n    *Ben's iPhone = 2 \u00d7 Suzy's iPhone*\n    *Ben's iPhone = 2 \u00d7 1 = 2 years*\n\n3.  **Find Brandon's iPhone age:**\n    The problem states that Brandon's iPhone is four times as old as Ben's iPhone.\n    *Brandon's iPhone = 4 \u00d7 Ben's iPhone*\n    *Brandon's iPhone = 4 \u00d7 2 = 8 years*\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 203, "stop": "stop", "seconds": 2.2160439491271973}
{"idx": 41, "text": "To solve this problem, we need to determine the distance Polly can throw the javelin while holding the sapphire gemstone and then calculate how far she can stand from the dragon's fire range.\n\n**Step 1: Determine the base throwing distance.**\nPolly can throw the gold javelin a distance of 400 feet without the gemstone.\n\n**Step 2: Determine the throwing distance with the sapphire gemstone.**\nThe problem states that with the gemstone, she can throw the javelin three times farther than without it.\nDistance with gemstone = $400 \\text{ feet} \\times 3 = 1200 \\text{ feet}$.\n\n**Step 3: Identify the dragon's fire range.**\nThe dragon breathes fire on anything within a distance of 1000 feet.\n\n**Step 4: Calculate the distance outside the fire range.**\nPolly needs to stand outside the 1000-foot fire range but still be able to hit the dragon (which is at the center of the range). \nIf she stands at a distance $D$ from the dragon, her throw must reach $D$. \nTo be safe from the fire, $D$ must be greater than 1000 feet.\nTo hit the dragon, $D$ must be less than or equal to her maximum throw distance (1200 feet).\n\nThe question asks how far **outside** the reach of the dragon's flames she could stand. This is the difference between her maximum throwing distance and the limit of the fire range.\nDistance outside range = $1200 \\text{ feet} - 1000 \\text{ feet} = 200 \\text{ feet}$.\n\nIf she stands exactly 200 feet beyond the 1000-foot fire range (at 1200 feet), she is at the maximum limit of her throw.\n\n#### 200", "pred": "200", "gold": "200", "correct": true, "n_new": 411, "stop": "stop", "seconds": 6.013306617736816}
{"idx": 42, "text": "To find out how many pieces of pie were taken by the guests, we can follow these steps:\n\n1.  **Calculate the total number of pieces of pie baked:**\n    Grandma Jones baked 5 pies, and each pie was cut into 8 pieces.\n    Total pieces = 5 pies \u00d7 8 pieces/pie = 40 pieces.\n\n2.  **Identify how many pieces were left over:**\n    After the luncheon, there were 14 pieces remaining on the table.\n\n3.  **Calculate the number of pieces taken by the guests:**\n    To find the number of pieces taken, subtract the remaining pieces from the total number of pieces.\n    Pieces taken = Total pieces - Remaining pieces\n    Pieces taken = 40 - 14 = 26.\n\n#### 26", "pred": "26", "gold": "26", "correct": true, "n_new": 174, "stop": "stop", "seconds": 1.9658372402191162}
{"idx": 43, "text": "To solve the problem, follow these steps:\n\n1.  **Determine the remaining calorie allowance:**\n    Your daily target is 2000 calories and you have already consumed 1800 calories.\n    $2000 - 1800 = 200$ calories remaining.\n\n2.  **Determine the calories per gram of chips:**\n    The bag weighs 300g and contains 5 servings.\n    Weight per serving = $300\\text{g} / 5 = 60\\text{g}$.\n    Each serving contains 250 calories.\n    Calories per gram = $250\\text{ calories} / 60\\text{g} \\approx 4.1667\\text{ calories/g}$.\n\n3.  **Calculate the total grams you can eat:**\n    Divide the remaining calories by the calories per gram.\n    $\\text{Grams} = \\frac{\\text{Remaining Calories}}{\\text{Calories per Gram}}$\n    $\\text{Grams} = \\frac{200}{250 / 60}$\n    $\\text{Grams} = \\frac{200 \\times 60}{250}$\n    $\\text{Grams} = \\frac{12000}{250}$\n    $\\text{Grams} = 48$\n\nAlternatively, you can calculate how many servings you can have:\nRemaining calories / Calories per serving = $200 / 250 = 0.8$ servings.\nWeight per serving = $60\\text{g}$.\n$0.8 \\times 60\\text{g} = 48\\text{g}$.\n\n#### 48", "pred": "48", "gold": "48", "correct": true, "n_new": 386, "stop": "stop", "seconds": 4.421366214752197}
{"idx": 44, "text": "To find Charlie's net profit, we need to calculate his total revenue and subtract his total costs.\n\n**Step 1: Determine the amount of beeswax needed.**\nCharlie wants to make and sell 20 candles.\nSince 1 pound of beeswax makes 10 candles, we divide the total number of candles by the number of candles per pound:\n20 candles \u00f7 10 candles per pound = 2 pounds of beeswax.\n\n**Step 2: Calculate the total cost of supplies.**\nThe cost for one pound of beeswax and wicks is $10.00.\nSince he needs 2 pounds, the total cost is:\n2 pounds \u00d7 $10.00 per pound = $20.00.\n\n**Step 3: Calculate the total revenue.**\nCharlie sells each candle for $2.00.\nSince he sells 20 candles, the total revenue is:\n20 candles \u00d7 $2.00 per candle = $40.00.\n\n**Step 4: Calculate the net profit.**\nNet profit is calculated by subtracting the total cost from the total revenue:\n$40.00 (Revenue) - $20.00 (Cost) = $20.00.\n\n#### 20", "pred": "20", "gold": "20", "correct": true, "n_new": 274, "stop": "stop", "seconds": 2.954939842224121}
{"idx": 45, "text": "To calculate the total number of hours Meredith spent writing articles, we will find the number of articles written each day and then multiply the total by the time spent per article.\n\n**Step 1: Determine the number of articles written on Monday.**\nMeredith wrote 5 articles on Monday.\nMonday = 5 articles.\n\n**Step 2: Determine the number of articles written on Tuesday.**\nShe wrote $2/5$ times *more* articles on Tuesday than on Monday. \nFirst, calculate $2/5$ of Monday's total:\n$5 \\times \\frac{2}{5} = 2$\nSince she wrote $2/5$ times *more* than Monday, we add this to Monday's count:\n$5 + 2 = 7$ articles.\nTuesday = 7 articles.\n\n**Step 3: Determine the number of articles written on Wednesday.**\nShe wrote twice the number of articles she wrote on Tuesday.\n$7 \\times 2 = 14$ articles.\nWednesday = 14 articles.\n\n**Step 4: Calculate the total number of articles written.**\nTotal articles = Monday + Tuesday + Wednesday\nTotal articles = $5 + 7 + 14 = 26$ articles.\n\n**Step 5: Calculate the total number of hours spent.**\nEach article takes an average of 4 hours to research and write.\nTotal hours = Total articles $\\times$ 4 hours/article\nTotal hours = $26 \\times 4 = 104$ hours.\n\n#### 104", "pred": "104", "gold": "104", "correct": true, "n_new": 338, "stop": "stop", "seconds": 4.146391153335571}
{"idx": 46, "text": "To find out how many post-it notes were in the package Candice purchased, we can follow these steps:\n\n1.  **Identify the initial amount:** Candice started with 80 post-it notes in her purse.\n2.  **Identify the amount used:** She placed a single post-it note on each of 220 cups of coffee, meaning she used 220 post-it notes.\n3.  **Identify the final amount:** After using the notes, she had 23 post-it notes remaining.\n4.  **Set up the equation:** Let $x$ be the number of post-it notes in the package she purchased.\n    The total number of notes she had was the initial amount plus the package: $(80 + x)$.\n    The total number of notes she had minus the number she used equals the number remaining:\n    $(80 + x) - 220 = 23$\n\n5.  **Solve for $x$:**\n    First, simplify the left side of the equation:\n    $x + 80 - 220 = 23$\n    $x - 140 = 23$\n    \n    Next, add 140 to both sides to isolate $x$:\n    $x = 23 + 140$\n    $x = 163$\n\n**Verification:**\nCandice started with 80.\nShe bought 163, making a total of $80 + 163 = 243$.\nShe used 220, leaving $243 - 220 = 23$.\nThe numbers match the problem description.\n\n#### 163", "pred": "163", "gold": "163", "correct": true, "n_new": 378, "stop": "stop", "seconds": 4.732432842254639}
{"idx": 47, "text": "To solve the problem, we will break it down into steps:\n\n**Step 1: Determine the number of blue ties John bought.**\nJohn spent $200 on blue ties, and each blue tie costs $40.\nNumber of blue ties = Total spent on blue ties / Cost per blue tie\nNumber of blue ties = $200 / $40 = 5\n\n**Step 2: Determine the number of red ties John bought.**\nJohn buys twice as many red ties as blue ties.\nNumber of red ties = 2 \u00d7 Number of blue ties\nNumber of red ties = 2 \u00d7 5 = 10\n\n**Step 3: Determine the cost of one red tie.**\nThe red ties cost 50% more than the blue ties.\nCost of blue tie = $40\nIncrease = 50% of $40 = 0.50 \u00d7 $40 = $20\nCost of red tie = $40 + $20 = $60\n\n**Step 4: Determine the total amount spent on red ties.**\nTotal spent on red ties = Number of red ties \u00d7 Cost per red tie\nTotal spent on red ties = 10 \u00d7 $60 = $600\n\n**Step 5: Determine the total amount spent on all ties.**\nTotal spent = Amount spent on blue ties + Amount spent on red ties\nTotal spent = $200 + $600 = $800\n\n#### 800", "pred": "800", "gold": "800", "correct": true, "n_new": 321, "stop": "stop", "seconds": 3.636538505554199}
{"idx": 48, "text": "To solve this problem, we need to determine how many 6-inch pieces can be cut from a 4-foot wire.\n\n**Step 1: Identify the units.**\nThe length of the wire is given in feet, and the length of the pieces is given in inches. To perform the calculation, we must convert them to the same unit.\n\n**Step 2: Convert feet to inches.**\nWe know that 1 foot = 12 inches.\nTherefore, to find the total length of the wire in inches:\n4 feet \u00d7 12 inches/foot = 48 inches.\n\n**Step 3: Calculate the number of pieces.**\nNow, we divide the total length of the wire (in inches) by the length of each piece:\nTotal length = 48 inches\nLength of each piece = 6 inches\nNumber of pieces = 48 inches \u00f7 6 inches/piece\n\n48 \u00f7 6 = 8.\n\nTracy obtained 8 pieces of wire.\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 217, "stop": "stop", "seconds": 2.578239679336548}
{"idx": 49, "text": "To find the total number of unoccupied units in the building, follow these steps:\n\n1.  **Calculate the total number of units in the building:**\n    There are 15 floors, and each floor has 8 units.\n    Total units = $15 \\times 8 = 120$.\n\n2.  **Determine the fraction of unoccupied units:**\n    If $3/4$ of the building is occupied, then the remaining fraction is unoccupied.\n    Unoccupied fraction = $1 - 3/4 = 1/4$.\n\n3.  **Calculate the number of unoccupied units:**\n    Multiply the total number of units by the unoccupied fraction.\n    Unoccupied units = $120 \\times \\frac{1}{4} = 30$.\n\nAlternatively, you can find the number of occupied units first:\nOccupied units = $120 \\times \\frac{3}{4} = 90$.\nUnoccupied units = $120 - 90 = 30$.\n\n#### 30", "pred": "30", "gold": "30", "correct": true, "n_new": 227, "stop": "stop", "seconds": 2.3796465396881104}
{"idx": 50, "text": "To find out how much Lloyd makes on eggs per week, we can follow these steps:\n\n1.  **Calculate the total number of eggs produced per week:**\n    Lloyd produces 252 eggs per day. There are 7 days in a week.\n    $252 \\text{ eggs/day} \\times 7 \\text{ days/week} = 1,764 \\text{ eggs/week}$\n\n2.  **Calculate the number of dozens produced per week:**\n    There are 12 eggs in a dozen.\n    $1,764 \\text{ eggs} \\div 12 \\text{ eggs/dozen} = 147 \\text{ dozens}$\n\n3.  **Calculate the total weekly revenue:**\n    Lloyd sells each dozen for $2.\n    $147 \\text{ dozens} \\times \\$2/\\text{dozen} = \\$294$\n\nAlternatively, you can calculate the daily revenue first:\n1.  **Daily dozens:** $252 \\div 12 = 21 \\text{ dozens per day}$\n2.  **Daily revenue:** $21 \\times \\$2 = \\$42 \\text{ per day}$\n3.  **Weekly revenue:** $\\$42 \\times 7 = \\$294$\n\n#### 294", "pred": "294", "gold": "294", "correct": true, "n_new": 292, "stop": "stop", "seconds": 3.104029893875122}
{"idx": 51, "text": "To find out how long it takes Tom to get back, we need to determine the distance he traveled initially and then calculate the time required to cover that same distance at his return speed.\n\n**Step 1: Determine the duration of the first trip.**\nTom sails from 1 PM to 4 PM.\nDuration = 4 PM - 1 PM = 3 hours.\n\n**Step 2: Calculate the distance traveled.**\nTom's speed during the first trip is 10 miles per hour.\nDistance = Speed \u00d7 Time\nDistance = 10 mph \u00d7 3 hours = 30 miles.\n\n**Step 3: Calculate the time taken for the return trip.**\nTom travels the same distance (30 miles) back at a speed of 6 miles per hour.\nTime = Distance / Speed\nTime = 30 miles / 6 mph = 5 hours.\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 193, "stop": "stop", "seconds": 2.374580144882202}
{"idx": 52, "text": "To find out how many toys Uriah needs to remove, we can follow these steps:\n\n**Step 1: Calculate the total weight of the comic books removed.**\nUriah removes 30 comic books. Each comic book weighs 1/4 pound.\nWeight of comic books = $30 \\times \\frac{1}{4}$\nWeight of comic books = $\\frac{30}{4} = 7.5$ pounds.\n\n**Step 2: Calculate the remaining weight that needs to be removed.**\nUriah needs to remove a total of 15 pounds. He has already removed 7.5 pounds from the comic books.\nRemaining weight = $15 - 7.5 = 7.5$ pounds.\n\n**Step 3: Calculate how many toys equal the remaining weight.**\nEach toy weighs 1/2 pound. We need to find how many toys ($x$) weigh 7.5 pounds.\n$x \\times \\frac{1}{2} = 7.5$\nTo solve for $x$, multiply both sides by 2:\n$x = 7.5 \\times 2$\n$x = 15$\n\nUriah needs to remove 15 toys.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 270, "stop": "stop", "seconds": 3.0513813495635986}
{"idx": 53, "text": "To find the difference in revenue between the two days, we need to calculate the total earnings for Thursday and Friday separately.\n\n**Step 1: Calculate the revenue for Thursday.**\nThe mechanic repaired 6 truck tires and 4 car tires.\n- Revenue from truck tires: $6 \\text{ tires} \\times \\$60/\\text{tire} = \\$360$\n- Revenue from car tires: $4 \\text{ tires} \\times \\$40/\\text{tire} = \\$160$\n- Total revenue for Thursday: $\\$360 + \\$160 = \\$520$\n\n**Step 2: Calculate the revenue for Friday.**\nThe mechanic repaired 12 car tires and 0 truck tires.\n- Revenue from car tires: $12 \\text{ tires} \\times \\$40/\\text{tire} = \\$480$\n- Revenue from truck tires: $0 \\text{ tires} \\times \\$60/\\text{tire} = \\$0$\n- Total revenue for Friday: $\\$480 + \\$0 = \\$480$\n\n**Step 3: Compare the revenues and find the difference.**\n- Thursday revenue: $520\n- Friday revenue: $480\nThe day with the higher revenue is Thursday ($520).\n\nTo find how much more revenue was earned on Thursday than on Friday:\n$\\$520 - \\$480 = \\$40$\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 320, "stop": "stop", "seconds": 3.7839741706848145}
{"idx": 54, "text": "To find the total number of kittens the Doubtfire family now has, we need to calculate the number of kittens from each source and sum them up.\n\n**Step 1: Identify the number of adopted kittens.**\nThe sisters are driving home with 7 kittens adopted from the shelter.\nAdopted kittens = 7\n\n**Step 2: Calculate the number of kittens born to Patchy.**\nThe problem states that Patchy had thrice (3 times) the number of adopted kittens.\nPatchy's kittens = 3 \u00d7 7 = 21\n\n**Step 3: Identify the number of kittens born to Trixie.**\nThe problem states that Trixie had 12 kittens.\nTrixie's kittens = 12\n\n**Step 4: Calculate the total number of kittens.**\nTo find the total, add the adopted kittens, Patchy's kittens, and Trixie's kittens together:\nTotal = 7 (adopted) + 21 (Patchy's) + 12 (Trixie's)\nTotal = 28 + 12\nTotal = 40\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 248, "stop": "stop", "seconds": 3.001577615737915}
{"idx": 55, "text": "To solve the problem, we will follow these steps:\n\n1.  **Determine the initial number of lollipops:**\n    Jean starts with 30 lollipops.\n\n2.  **Subtract the lollipops Jean ate:**\n    Jean eats 2 lollipops.\n    $30 - 2 = 28$ lollipops remaining.\n\n3.  **Calculate the number of bags:**\n    Jean wants to put 2 lollipops in each bag. To find the number of bags, we divide the remaining lollipops by 2.\n    $28 \\div 2 = 14$ bags.\n\nJean can fill 14 bags.\n\n#### 14", "pred": "14", "gold": "14", "correct": true, "n_new": 153, "stop": "stop", "seconds": 1.7511718273162842}
{"idx": 56, "text": "To find out how many times Peter can go to the movies, we can follow these steps:\n\n1.  **Calculate the cost of one trip to the movies:**\n    Peter buys a ticket and popcorn for each visit.\n    Cost of ticket = $7\n    Cost of popcorn = $7\n    Total cost per visit = $7 + $7 = $14\n\n2.  **Determine the total amount of money Peter has:**\n    Peter has $42 for the week.\n\n3.  **Calculate the number of times he can go to the movies:**\n    Divide the total amount of money by the cost per visit.\n    Number of visits = Total money / Cost per visit\n    Number of visits = $42 / $14\n\n4.  **Perform the division:**\n    42 \u00f7 14 = 3\n\nPeter can go to the movies 3 times.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 195, "stop": "stop", "seconds": 2.3685340881347656}
{"idx": 57, "text": "To find the maximum number of boxes the truck can carry without exceeding the bridge's weight limit, follow these steps:\n\n1.  **Identify the total weight limit:**\n    The bridge can carry a maximum of 5000 pounds.\n\n2.  **Identify the weight already on the truck:**\n    The combined weight of the driver and the empty truck is 3755 pounds.\n\n3.  **Calculate the remaining weight capacity:**\n    Subtract the weight of the truck and driver from the bridge's limit to find how much weight is available for the boxes.\n    $5000 - 3755 = 1245$ pounds.\n\n4.  **Determine the weight of each box:**\n    Each box weighs 15 pounds.\n\n5.  **Calculate the maximum number of boxes:**\n    Divide the remaining weight capacity by the weight of one box.\n    $1245 \\div 15 = 83$.\n\n6.  **Verify the calculation:**\n    $83 \\times 15 = 1245$.\n    $3755 + 1245 = 5000$.\n    Since 5000 is exactly the limit, 83 boxes is the maximum number allowed.\n\n#### 83", "pred": "83", "gold": "83", "correct": true, "n_new": 284, "stop": "stop", "seconds": 3.3743209838867188}
{"idx": 58, "text": "To find the final price of Stephen's groceries, we will calculate each additional charge step by step based on the initial bill.\n\n1.  **Identify the initial bill:**\n    The final bill for the groceries is $40.00.\n\n2.  **Calculate the 25% vendor fee:**\n    The vendor adds a 25% fee to the final total ($40.00).\n    $40.00 \\times 0.25 = 10.00$\n    So, the vendor fee is $10.00.\n\n3.  **Add the delivery fee:**\n    The delivery fee is a flat charge of $3.00.\n\n4.  **Add the tip:**\n    Stephen added a tip of $4.00.\n\n5.  **Calculate the total final price:**\n    Sum the initial bill and all the additional charges:\n    Initial Bill: $40.00\n    Vendor Fee: + $10.00\n    Delivery Fee: + $3.00\n    Tip: + $4.00\n\n    $40.00 + 10.00 + 3.00 + 4.00 = 57.00$\n\n#### 57.00", "pred": "57", "gold": "57", "correct": true, "n_new": 285, "stop": "stop", "seconds": 3.433121681213379}
{"idx": 59, "text": "To find the total number of raspberries, we can follow these steps:\n\n1.  **Calculate the number of raspberries in the clusters:**\n    There are 6 clusters, and each cluster contains 20 fruit.\n    $6 \\times 20 = 120$ raspberries.\n\n2.  **Identify the number of scattered individual fruit:**\n    There are 67 individual raspberries scattered across the bush.\n\n3.  **Calculate the total number of raspberries:**\n    Add the raspberries from the clusters to the scattered raspberries.\n    $120 + 67 = 187$ raspberries.\n\n#### 187", "pred": "187", "gold": "187", "correct": true, "n_new": 139, "stop": "stop", "seconds": 1.5893921852111816}
{"idx": 60, "text": "To find the number of good oranges in the basket, we need to subtract the number of bad, unripe, and sour oranges from the total number of oranges.\n\n**Step 1: Identify the total number of oranges.**\nTotal oranges = 25\n\n**Step 2: Calculate the number of unripe oranges.**\nThe problem states that 20% of the oranges are unripe.\nNumber of unripe oranges = 20% of 25\nNumber of unripe oranges = 0.20 \u00d7 25 = 5\n\n**Step 3: Identify the number of bad and sour oranges.**\nBad oranges = 1\nSour oranges = 2\n\n**Step 4: Calculate the total number of \"not good\" oranges.**\nTotal not good = Bad + Unripe + Sour\nTotal not good = 1 + 5 + 2 = 8\n\n**Step 5: Calculate the number of good oranges.**\nGood oranges = Total oranges - Total not good\nGood oranges = 25 - 8 = 17\n\n#### 17", "pred": "17", "gold": "17", "correct": true, "n_new": 226, "stop": "stop", "seconds": 2.4156806468963623}
{"idx": 61, "text": "To find the total amount Janet paid, we can break the problem down into three steps:\n\n1.  **Calculate the cost of materials and construction:**\n    Janet paid $500 for materials and $800 for the jeweler's construction fee.\n    $500 + $800 = $1,300\n\n2.  **Calculate the insurance cost:**\n    The insurance is 10% of the total cost of the material and construction ($1,300).\n    10% of $1,300 = 0.10 \u00d7 $1,300 = $130\n\n3.  **Calculate the total cost:**\n    Add the insurance cost to the previous total.\n    $1,300 + $130 = $1,430\n\nJanet paid a total of $1,430.\n\n#### 1430", "pred": "1430", "gold": "1430", "correct": true, "n_new": 199, "stop": "stop", "seconds": 2.3179495334625244}
{"idx": 62, "text": "To find Marcy's annual pension after 30 years of work, we follow these steps:\n\n1.  **Identify the base pension amount:**\n    The problem states that if Marcy works for 40 years, she gets an annual pension of $50,000.\n\n2.  **Determine the \"value of the pension\" per year of service:**\n    To find out how much the pension is worth per year of work, divide the total pension by the total years required:\n    $50,000 / 40 \\text{ years} = \\$1,250 \\text{ per year of service}$.\n\n3.  **Calculate the pension earned from the first 20 years:**\n    Marcy is entitled to the pension amount for the first 20 years of work. However, the problem specifies that starting *after* 20 years, she becomes entitled to 5% of the value of the pension per year. This implies that for the first 20 years, she earns the \"base\" value, and for the years exceeding 20, she earns a specific percentage of that value.\n    \n    Wait, let's re-read carefully: \"Starting after 20 years, she becomes entitled to 5% of the value of the pension per year.\" This usually implies a cumulative calculation or a specific bonus structure. \n    \n    Let's look at the standard interpretation of such problems:\n    - Years 1-20: She earns the standard value of the pension per year.\n    - Years 21-30: She earns 5% of the value of the pension per year.\n    \n    However, the phrasing \"she becomes entitled to 5% of the value... per year\" most likely means that for every year worked beyond 20, she adds 5% of the total potential pension value to her annual payout.\n    \n    Let's re-evaluate the phrasing: \"Starting after 20 years, she becomes entitled to 5% of the value of the pension per year.\" \n    If she works 40 years, she gets $50,000. \n    If she works 30 years:\n    The base value she has \"earned\" is for 30 years: $30 \\times \\$1,250 = \\$37,500", "pred": "37500", "gold": "25000", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.858508348464966}
{"idx": 63, "text": "To calculate the total amount Aleena paid for the streaming service by the end of the year, we follow these steps:\n\n1.  **Identify the monthly cost for the first half of the year:**\n    The monthly charge is $140.\n    The first half of the year consists of 6 months.\n    Total for the first half = $140 \\times 6 = \\$840$.\n\n2.  **Calculate the monthly cost for the second half of the year:**\n    The company charged 10% less than the initial amount.\n    Discount amount = $140 \\times 0.10 = \\$14$.\n    New monthly charge = $140 - 14 = \\$126$.\n\n3.  **Calculate the total cost for the second half of the year:**\n    The second half of the year also consists of 6 months.\n    Total for the second half = $126 \\times 6 = \\$756$.\n\n4.  **Calculate the total amount paid for the entire year:**\n    Total = (Total for first half) + (Total for second half)\n    Total = $840 + 756 = \\$1596$.\n\n#### 1596", "pred": "1596", "gold": "1596", "correct": true, "n_new": 275, "stop": "stop", "seconds": 3.0061299800872803}
{"idx": 64, "text": "To find out how many miles Sophia can drive on a single tank of gas, we can follow these steps:\n\n1.  **Calculate the car's fuel efficiency (miles per gallon):**\n    Sophia traveled 100 miles and used 4 gallons of gas to refill the tank.\n    $\\text{Miles per gallon (MPG)} = \\frac{\\text{Miles traveled}}{\\text{Gallons used}}$\n    $\\text{MPG} = \\frac{100 \\text{ miles}}{4 \\text{ gallons}} = 25 \\text{ miles per gallon}$\n\n2.  **Calculate the total distance for a full tank:**\n    The owner's manual states that the car's tank holds 12 gallons of gas. To find the total distance, multiply the tank capacity by the fuel efficiency.\n    $\\text{Total distance} = \\text{Tank capacity} \\times \\text{MPG}$\n    $\\text{Total distance} = 12 \\text{ gallons} \\times 25 \\text{ miles per gallon}$\n\n3.  **Perform the multiplication:**\n    $12 \\times 25 = 300$\n\nSophia can drive 300 miles on a single tank of gas.\n\n#### 300", "pred": "300", "gold": "300", "correct": true, "n_new": 276, "stop": "stop", "seconds": 3.1435885429382324}
{"idx": 65, "text": "To find the total number of hours Jim spends on TV and reading in 4 weeks, we can follow these steps:\n\n1.  **Calculate the time spent reading per session:**\n    Jim watches TV for 2 hours. He reads for half as long as he watches TV.\n    Reading time = 2 hours / 2 = 1 hour.\n\n2.  **Calculate the total time spent per session (TV + Reading):**\n    Total time per session = 2 hours (TV) + 1 hour (Reading) = 3 hours.\n\n3.  **Calculate the total time spent per week:**\n    Jim does this 3 times a week.\n    Weekly time = 3 hours per session \u00d7 3 sessions = 9 hours.\n\n4.  **Calculate the total time spent in 4 weeks:**\n    Total time = 9 hours per week \u00d7 4 weeks = 36 hours.\n\n#### 36", "pred": "36", "gold": "36", "correct": true, "n_new": 201, "stop": "stop", "seconds": 2.318915367126465}
{"idx": 66, "text": "To find the total number of people sent by all the schools, we can break the problem down into the number of people per school and then multiply by the total number of schools.\n\n**Step 1: Identify the number of people per school.**\nEach school has:\n- A girls' basketball team with 5 players.\n- A boys' basketball team with 5 players.\n- A coach for the girls' team (1 person).\n- A coach for the boys' team (1 person).\n\n**Step 2: Calculate the total number of people per school.**\nNumber of players = 5 (girls) + 5 (boys) = 10 players.\nNumber of coaches = 1 (girls) + 1 (boys) = 2 coaches.\nTotal people per school = 10 players + 2 coaches = 12 people.\n\n**Step 3: Calculate the total number of people for all schools.**\nThere are 4 schools in total.\nTotal people = (Number of people per school) \u00d7 (Number of schools)\nTotal people = 12 \u00d7 4 = 48.\n\n#### 48", "pred": "48", "gold": "48", "correct": true, "n_new": 246, "stop": "stop", "seconds": 3.2541663646698}
{"idx": 67, "text": "To find the total number of gems in the chest, we need to calculate the number of each type of gem step by step.\n\n1.  **Find the number of diamonds:**\n    The problem states there are 175 diamonds.\n    Diamonds = 175\n\n2.  **Find the number of rubies:**\n    The problem states there are 35 fewer rubies than diamonds.\n    Rubies = Diamonds - 35\n    Rubies = 175 - 35 = 140\n\n3.  **Find the number of emeralds:**\n    The problem states there are twice as many emeralds as rubies.\n    Emeralds = Rubies \u00d7 2\n    Emeralds = 140 \u00d7 2 = 280\n\n4.  **Find the total number of gems:**\n    Total = Diamonds + Rubies + Emeralds\n    Total = 175 + 140 + 280\n    \n    Adding them up:\n    175 + 140 = 315\n    315 + 280 = 595\n\n#### 595", "pred": "595", "gold": "595", "correct": true, "n_new": 255, "stop": "stop", "seconds": 2.745988607406616}
{"idx": 68, "text": "To find the number of teachers, we can follow these steps:\n\n1.  **Find the number of boys:**\n    The problem states there are twice as many boys as girls.\n    Number of girls = 60\n    Number of boys = 60 \u00d7 2 = 120\n\n2.  **Find the total number of students:**\n    Total students = Number of girls + Number of boys\n    Total students = 60 + 120 = 180\n\n3.  **Find the number of teachers:**\n    The ratio of students to teachers is 5 to 1 (5 students for every 1 teacher).\n    Number of teachers = Total students / 5\n    Number of teachers = 180 / 5\n\n4.  **Perform the division:**\n    180 \u00f7 5 = 36\n\n#### 36", "pred": "36", "gold": "36", "correct": true, "n_new": 191, "stop": "stop", "seconds": 2.173771619796753}
{"idx": 69, "text": "To find out how much money Bailey started with, we can follow these steps:\n\n1.  **Calculate the total amount received from the allowance:**\n    Bailey receives $5 each week for 8 weeks.\n    $5 \\times 8 = \\$40$\n\n2.  **Set up an equation to represent the situation:**\n    Let $x$ be the amount of money Bailey started with.\n    The equation is: $\\text{Starting Amount} + \\text{Total Allowance} = \\text{Total Final Amount}$\n    $x + 40 = 100$\n\n3.  **Solve for $x$:**\n    Subtract the total allowance from the final amount to find the starting amount.\n    $x = 100 - 40$\n    $x = 60$\n\nBailey started with $60.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 190, "stop": "stop", "seconds": 2.3225388526916504}
{"idx": 70, "text": "To find out how much money Judy makes in one week, we need to calculate the total number of classes she teaches, the total number of students, and then multiply by the fee per student.\n\n**Step 1: Calculate the number of classes taught during the weekdays.**\nJudy teaches 5 classes every day on the weekdays (Monday through Friday).\nNumber of weekdays = 5\nClasses per weekday = 5\nTotal weekday classes = $5 \\times 5 = 25$ classes.\n\n**Step 2: Calculate the total number of classes taught in a week.**\nJudy also teaches 8 classes on Saturday.\nTotal weekly classes = Weekday classes + Saturday classes\nTotal weekly classes = $25 + 8 = 33$ classes.\n\n**Step 3: Calculate the total number of students per week.**\nEach class has 15 students.\nTotal students = Total classes $\\times$ Students per class\nTotal students = $33 \\times 15$\n$33 \\times 10 = 330$\n$33 \\times 5 = 165$\n$330 + 165 = 495$ students.\n\n**Step 4: Calculate the total money made.**\nShe charges $15.00 per student.\nTotal money = Total students $\\times$ Fee per student\nTotal money = $495 \\times 15$\n$495 \\times 10 = 4950$\n$495 \\times 5 = 2475$\n$4950 + 2475 = 7425$\n\nAlternatively, you can calculate the money per class first:\nMoney per class = $15 \\text{ students} \\times \\$15.00 = \\$225$\nTotal money = $33 \\text{ classes} \\times \\$225 = \\$7425$\n\n#### 7425", "pred": "7425", "gold": "7425", "correct": true, "n_new": 429, "stop": "stop", "seconds": 4.803623199462891}
{"idx": 71, "text": "To find the total number of instructions Kelian has to read, we can follow these steps:\n\n1.  **Identify the number of instructions in the first recipe:**\n    The problem states that the first recipe has 20 instructions.\n\n2.  **Calculate the number of instructions in the second recipe:**\n    The problem states that the second recipe has twice as many instructions as the first one.\n    $20 \\times 2 = 40$ instructions.\n\n3.  **Calculate the total number of instructions:**\n    To find the total, add the instructions from both recipes together.\n    $20 \\text{ (first recipe)} + 40 \\text{ (second recipe)} = 60$ instructions.\n\nKelian has to read a total of 60 instructions.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 176, "stop": "stop", "seconds": 1.9582560062408447}
{"idx": 72, "text": "To find the total amount of money Tommy raised, we need to calculate the revenue from the brownies and the revenue from the cheesecakes separately, and then add them together.\n\n**Step 1: Calculate the money from brownies.**\nTommy sold 43 brownies at $3 each.\n$43 \\times 3 = 129$\nTommy raised $129 from brownies.\n\n**Step 2: Calculate the money from cheesecakes.**\nTommy sold 23 slices of cheesecake at $4 each.\n$23 \\times 4 = 92$\nTommy raised $92 from cheesecakes.\n\n**Step 3: Calculate the total amount raised.**\nAdd the money from the brownies and the cheesecakes together.\n$129 + 92 = 221$\n\nTommy raised a total of $221.\n\n#### 221", "pred": "221", "gold": "221", "correct": true, "n_new": 194, "stop": "stop", "seconds": 2.112513542175293}
{"idx": 73, "text": "To find out how much Shiela will pay each month, follow these steps:\n\n**Step 1: Calculate the total cost of the phones before interest.**\nShiela bought 5 phones at $150 each.\n$5 \\times \\$150 = \\$750$\n\n**Step 2: Calculate the total interest charged.**\nThe interest is 2% for each unit. First, find the interest per phone:\n$2\\% \\text{ of } \\$150 = 0.02 \\times 150 = \\$3$\nSince there are 5 phones, the total interest is:\n$5 \\times \\$3 = \\$15$\n*(Alternatively: $2\\% \\text{ of } \\$750 = 0.02 \\times 750 = \\$15$)*\n\n**Step 3: Calculate the total cost including interest.**\nAdd the total cost of the phones to the total interest:\n$\\$750 + \\$15 = \\$765$\n\n**Step 4: Calculate the monthly payment.**\nShiela will pay this total amount over a 3-month installment period:\n$\\$765 \\div 3 = \\$255$\n\n#### 255", "pred": "255", "gold": "255", "correct": true, "n_new": 271, "stop": "stop", "seconds": 3.157933235168457}
{"idx": 74, "text": "To find out how much Artie will make, we need to follow these steps:\n\n**Step 1: Determine the rounded prices for each type of flower.**\nArtie is rounding all prices to the nearest dollar.\n*   **Marigolds:** The original price is $2.74. Since 0.74 is 0.50 or greater, it rounds up to $3.00.\n*   **Petunias:** The original price is $1.87. Since 0.87 is 0.50 or greater, it rounds up to $2.00.\n*   **Begonias:** The original price is $2.12. Since 0.12 is less than 0.50, it rounds down to $2.00.\n\n**Step 2: Calculate the total amount for each type of flower sold.**\n*   **Marigolds:** Artie sells 12 pots at $3.00 each.\n    $12 \\times 3 = 36$\n*   **Petunias:** Artie sells 9 pots at $2.00 each.\n    $9 \\times 2 = 18$\n*   **Begonias:** Artie sells 17 pots at $2.00 each.\n    $17 \\times 2 = 34$\n\n**Step 3: Calculate the total amount made.**\nAdd the totals from each flower type together:\n$36 + 18 + 34$\n$36 + 18 = 54$\n$54 + 34 = 88$\n\nArtie will make $88.\n\n#### 88", "pred": "88", "gold": "88", "correct": true, "n_new": 376, "stop": "stop", "seconds": 4.166051864624023}
{"idx": 75, "text": "To find the average square footage of a level in Luke's 4-leveled sandcastle, we need to determine the square footage of each level and then calculate the mean.\n\n**Step 1: Identify the square footage of each level.**\nWe are told that each level has half the square footage of the level below it. We also know the top level (Level 1) is 16 square feet. Since we are working from the top down, we need to find the levels below it.\n\nLet $L_1$ be the top level, $L_2$ be the second level, $L_3$ be the third level, and $L_4$ be the bottom level.\nThe rule is: $L_{top} = \\frac{1}{2} L_{bottom}$. Conversely, this means the level below is double the size of the level above it.\n\n*   **Level 1 (Top):** 16 sq ft\n*   **Level 2:** $16 \\times 2 = 32$ sq ft\n*   **Level 3:** $32 \\times 2 = 64$ sq ft\n*   **Level 4 (Bottom):** $64 \\times 2 = 128$ sq ft\n\n**Step 2: Calculate the total square footage.**\nSum the areas of all four levels:\n$16 + 32 + 64 + 128 = 240$ sq ft\n\n**Step 3: Calculate the average square footage.**\nDivide the total square footage by the number of levels (4):\n$\\text{Average} = \\frac{240}{4}$\n$\\text{Average} = 60$\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 378, "stop": "stop", "seconds": 4.896089553833008}
{"idx": 76, "text": "To find the total number of bags of dog food Cecilia will use in the first year, we need to calculate the total number of cups consumed and then divide by the number of cups per bag.\n\n**Step 1: Calculate the number of days in a year.**\nA standard year has 365 days.\n\n**Step 2: Calculate the amount of food for the first 180 days.**\nDuring the first 180 days, the puppy eats 1 cup per day.\n$180 \\text{ days} \\times 1 \\text{ cup/day} = 180 \\text{ cups}$\n\n**Step 3: Calculate the number of days remaining in the year.**\nThe total number of days in the year minus the first 180 days:\n$365 - 180 = 185 \\text{ days}$\n\n**Step 4: Calculate the amount of food for the remaining days.**\nDuring these 185 days, the puppy eats 2 cups per day.\n$185 \\text{ days} \\times 2 \\text{ cups/day} = 370 \\text{ cups}$\n\n**Step 5: Calculate the total number of cups for the year.**\nAdd the cups from the first period and the second period:\n$180 \\text{ cups} + 370 \\text{ cups} = 550 \\text{ cups}$\n\n**Step 6: Calculate the number of bags needed.**\nOne bag contains 110 cups. To find the number of bags, divide the total cups by the cups per bag:\n$550 \\text{ cups} \\div 110 \\text{ cups/bag} = 5 \\text{ bags}$\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 389, "stop": "stop", "seconds": 4.4455952644348145}
{"idx": 77, "text": "To find the difference in the amount of laundry Raymond and David do, we will follow these steps:\n\n1.  **Identify Sarah's laundry amount:**\n    Sarah does 400 pounds of laundry.\n\n2.  **Calculate Raymond's laundry amount:**\n    The problem states that Raymond does half as much laundry as Sarah.\n    $\\text{Raymond} = \\frac{1}{2} \\times \\text{Sarah}$\n    $\\text{Raymond} = \\frac{1}{2} \\times 400 = 200$ pounds.\n\n3.  **Calculate David's laundry amount:**\n    The problem states that Sarah does 4 times as much laundry as David. This means David does one-fourth as much as Sarah.\n    $\\text{David} = \\frac{\\text{Sarah}}{4}$\n    $\\text{David} = \\frac{400}{4} = 100$ pounds.\n\n4.  **Calculate the difference between Raymond and David:**\n    Subtract David's amount from Raymond's amount.\n    $\\text{Difference} = \\text{Raymond} - \\text{David}$\n    $\\text{Difference} = 200 - 100 = 100$ pounds.\n\n#### 100", "pred": "100", "gold": "100", "correct": true, "n_new": 282, "stop": "stop", "seconds": 2.903318405151367}
{"idx": 78, "text": "To find out how much Vincent saves, we need to calculate the cost of buying 18 flowers using both pricing options and then find the difference.\n\n**Step 1: Calculate the cost using the 3-flower packages.**\n*   Price per package: $2.50\n*   Flowers per package: 3\n*   Number of packages needed for 18 flowers: $18 \\div 3 = 6$ packages.\n*   Total cost: $6 \\times \\$2.50 = \\$15.00$.\n\n**Step 2: Calculate the cost using the 2-flower packages.**\n*   Price per package: $1.00\n*   Flowers per package: 2\n*   Number of packages needed for 18 flowers: $18 \\div 2 = 9$ packages.\n*   Total cost: $9 \\times \\$1.00 = \\$9.00$.\n\n**Step 3: Determine the better price and calculate the savings.**\n*   Cost with 3-flower packages: $15.00\n*   Cost with 2-flower packages: $9.00\n*   The better price is $9.00.\n*   Savings: $\\$15.00 - \\$9.00 = \\$6.00$.\n\nVincent saves $6.00 by choosing the better price.\n\n#### 6.00", "pred": "6", "gold": "6", "correct": true, "n_new": 310, "stop": "stop", "seconds": 3.463426351547241}
{"idx": 79, "text": "To find the cost of the grooming, we can follow these steps:\n\n1.  **Identify the original cost:** The original cost of the grooming is $100.\n2.  **Calculate the discount amount:** The groomer offers a 30% discount. To find the amount saved, multiply the original cost by the discount percentage:\n    $100 \\times 0.30 = 30$\n    So, the discount is $30.\n3.  **Calculate the final cost:** Subtract the discount amount from the original cost:\n    $100 - 30 = 70$\n\nThe grooming costs $70.\n\n#### 70", "pred": "70", "gold": "70", "correct": true, "n_new": 149, "stop": "stop", "seconds": 1.7479946613311768}
{"idx": 80, "text": "To find out how many liters of water were left, we can follow these steps:\n\n1.  **Calculate how much water each girl received:**\n    Each girl received $\\frac{1}{6}$ of 24 liters.\n    $24 \\times \\frac{1}{6} = 4$ liters.\n\n2.  **Calculate the total water taken by the two girls:**\n    Since there are two girls and each got 4 liters:\n    $2 \\times 4 = 8$ liters.\n\n3.  **Calculate the total water taken by the girls and the boy:**\n    The boy received 6 liters.\n    Total taken = (Water taken by girls) + (Water taken by boy)\n    $8 + 6 = 14$ liters.\n\n4.  **Calculate the remaining water:**\n    Subtract the total water taken from the initial amount.\n    $24 - 14 = 10$ liters.\n\n#### 10", "pred": "10", "gold": "10", "correct": true, "n_new": 213, "stop": "stop", "seconds": 2.575227975845337}
{"idx": 81, "text": "To find out how many stickers Charlie has left, we can follow his actions step by step:\n\n1.  **Initial amount:** Charlie starts with 10 stickers.\n2.  **Bought stickers:** He buys 21 stickers.\n    $10 + 21 = 31$ stickers.\n3.  **Birthday stickers:** He receives 23 stickers for his birthday.\n    $31 + 23 = 54$ stickers.\n4.  **Gave to sister:** He gives 9 stickers to his sister.\n    $54 - 9 = 45$ stickers.\n5.  **Used for card:** He uses 28 stickers to decorate a greeting card.\n    $45 - 28 = 17$ stickers.\n\nCharlie has 17 stickers left.\n\n#### 17", "pred": "17", "gold": "17", "correct": true, "n_new": 186, "stop": "stop", "seconds": 1.9607048034667969}
{"idx": 82, "text": "To find the combined weights of Grace and Alex, we can follow these steps:\n\n1.  **Identify Grace's weight:**\n    Grace weighs 125 pounds.\n\n2.  **Calculate Alex's weight:**\n    Alex weighs 2 pounds less than 4 times what Grace weighs.\n    *   First, find 4 times Grace's weight: $125 \\times 4 = 500$\n    *   Then, subtract 2 pounds: $500 - 2 = 498$\n    So, Alex weighs 498 pounds.\n\n3.  **Calculate the combined weights:**\n    Add Grace's weight and Alex's weight together:\n    *   $125 + 498 = 623$\n\nThe combined weights of Grace and Alex are 623 pounds.\n\n#### 623", "pred": "623", "gold": "623", "correct": true, "n_new": 194, "stop": "stop", "seconds": 2.0587611198425293}
{"idx": 83, "text": "To find the total number of thorns, we can solve the problem step by step:\n\n1.  **Find the total number of roses:**\n    Dan has 3 rose bushes, and each bush has 25 roses.\n    $3 \\text{ bushes} \\times 25 \\text{ roses/bush} = 75 \\text{ roses}$\n\n2.  **Find the total number of thorns:**\n    There are 75 roses in total, and each rose has 8 thorns.\n    $75 \\text{ roses} \\times 8 \\text{ thorns/rose} = 600 \\text{ thorns}$\n\nCalculation check:\n$75 \\times 8 = (70 \\times 8) + (5 \\times 8) = 560 + 40 = 600$.\n\n#### 600", "pred": "600", "gold": "600", "correct": true, "n_new": 190, "stop": "stop", "seconds": 2.056947946548462}
{"idx": 84, "text": "To solve this problem, we can use a system of simple algebraic equations.\n\n**Step 1: Define the variables.**\nLet $W$ be the number of games won.\nLet $L$ be the number of games lost.\n\n**Step 2: Set up the equations based on the information provided.**\n1. The total number of games played is 22:\n   $W + L = 22$\n2. The team won 8 more games than they lost:\n   $W = L + 8$\n\n**Step 3: Substitute the second equation into the first equation.**\nSubstitute $(L + 8)$ for $W$ in the first equation:\n$(L + 8) + L = 22$\n\n**Step 4: Solve for $L$ (the number of losses).**\nCombine like terms:\n$2L + 8 = 22$\nSubtract 8 from both sides:\n$2L = 22 - 8$\n$2L = 14$\nDivide by 2:\n$L = 7$\n\n**Step 5: Solve for $W$ (the number of wins).**\nUse the second equation to find $W$:\n$W = L + 8$\n$W = 7 + 8$\n$W = 15$\n\n**Step 6: Verify the results.**\nTotal games: $15 + 7 = 22$ (Correct)\nDifference: $15 - 7 = 8$ (Correct)\n\nThe team won 15 games.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 351, "stop": "stop", "seconds": 3.731559991836548}
{"idx": 85, "text": "To find the total number of quilt blocks, we need to determine the total number of years Gene has been vacationing and multiply that by the number of vacations he takes each year.\n\n**Step 1: Determine the number of years he has been vacationing.**\nGene started vacationing when he was 23 years old and is now 34 years old.\nNumber of years = $34 - 23 = 11$ years.\n*Note: Since he has been vacationing \"since\" he was 23, and we are calculating the span of time up to his current age of 34, we calculate the difference.*\n\n**Step 2: Determine the number of vacations per year.**\nThe problem states he goes on four vacations a year.\n\n**Step 3: Calculate the total number of quilt blocks.**\nEach vacation results in one shirt, and each shirt is one quilt block.\nTotal blocks = (Number of years) \u00d7 (Vacations per year)\nTotal blocks = $11 \\times 4 = 44$.\n\n#### 44", "pred": "44", "gold": "44", "correct": true, "n_new": 230, "stop": "stop", "seconds": 3.0041277408599854}
{"idx": 86, "text": "To find the total number of times the alarm rang, we will calculate the number of rings for each of the three times it went off.\n\n**Step 1: Find the number of rings the first time.**\nThe problem states that the first time the alarm went off, it rang 4 times.\nNumber of rings (1st time) = 4\n\n**Step 2: Find the number of rings the second time.**\nThe problem states that the second time, it rang for three times as long as the first time.\nNumber of rings (2nd time) = 4 \u00d7 3 = 12\n\n**Step 3: Find the number of rings the third time.**\nThe problem states that the third time, it rang for half as long as the second time.\nNumber of rings (3rd time) = 12 / 2 = 6\n\n**Step 4: Calculate the total number of rings.**\nTo find the total, we add the rings from all three times:\nTotal = 4 + 12 + 6\nTotal = 16 + 6\nTotal = 22\n\n#### 22", "pred": "22", "gold": "22", "correct": true, "n_new": 244, "stop": "stop", "seconds": 2.6965348720550537}
{"idx": 87, "text": "To find Sylvie's annual salary after three more years of service, we follow these steps:\n\n**1. Determine the initial monthly and annual salary:**\n*   Monthly salary = $600\n*   Annual salary = $600 \u00d7 12 months = $7,200\n\n**2. Determine the annual salary increase amount:**\nThe policy states that employees who have stayed for five years receive an increase of 10% of the *initial* salary every year.\n*   Initial annual salary = $7,200\n*   Annual increase = 10% of $7,200 = 0.10 \u00d7 $7,200 = $720\n\n**3. Calculate the salary after the first year of eligibility (Year 6):**\nSylvie clocked 5 years last December, so she is eligible for the increase starting this year.\n*   Salary after 1 year of service past the 5-year mark = $7,200 + $720 = $7,920\n\n**4. Calculate the salary after three more years of service:**\nSylvie will receive the $720 increase each year for the next three years.\n*   Year 1 (after 5 years): $7,200 + $720 = $7,920\n*   Year 2 (after 6 years): $7,920 + $720 = $8,640\n*   Year 3 (after 7 years): $8,640 + $720 = $9,360\n\nAlternatively, since she will have received 3 increases of $720:\n*   Total increase = 3 \u00d7 $720 = $2,160\n*   Final salary = $7,200 + $2,160 = $9,360\n\n#### 9360", "pred": "9360", "gold": "9360", "correct": true, "n_new": 421, "stop": "stop", "seconds": 5.171267986297607}
{"idx": 88, "text": "To find out how many copies Harald sold, we can follow these steps:\n\n1.  **Identify the variables:**\n    Let $x$ be the number of copies Harald sold.\n    Since Marilyn sold 10 times as many copies as Harald, Marilyn's copies can be represented as $10x$.\n\n2.  **Set up the equation:**\n    The total number of copies sold by both is 88,000. Therefore:\n    $x + 10x = 88,000$\n\n3.  **Simplify the equation:**\n    Combine the like terms:\n    $11x = 88,000$\n\n4.  **Solve for $x$:**\n    Divide both sides by 11:\n    $x = \\frac{88,000}{11}$\n    $x = 8,000$\n\n5.  **Verify the result:**\n    If Harald sold 8,000 copies, then Marilyn sold $10 \\times 8,000 = 80,000$ copies.\n    The sum is $8,000 + 80,000 = 88,000$. This matches the information given in the problem.\n\nHarald sold 8,000 copies.\n\n#### 8000", "pred": "8000", "gold": "8000", "correct": true, "n_new": 301, "stop": "stop", "seconds": 3.2131855487823486}
{"idx": 89, "text": "To find out how much Christina will spend, we can follow these steps:\n\n1.  **Determine the number of guests expected to attend:**\n    Christina invited 16 friends. However, 1/4 of the attendees do not show up.\n    $1/4 \\times 16 = 4$ guests will not show up.\n    $16 - 4 = 12$ guests are expected to attend.\n\n2.  **Determine the number of gift bags needed:**\n    Christina needs 0.75 gift bags per invited guest.\n    $16 \\text{ (invited guests)} \\times 0.75 = 12$ gift bags.\n    *(Alternatively, if the calculation is based on the expected attendees: $12 \\text{ (expected guests)} \\times 1 = 12$ bags, but the prompt specifies 0.75 bags per invited guest).*\n\n3.  **Calculate the total cost:**\n    Each gift bag costs $2.\n    $12 \\text{ bags} \\times \\$2 = \\$24$.\n\n#### 24", "pred": "24", "gold": "24", "correct": true, "n_new": 241, "stop": "stop", "seconds": 3.048569917678833}
{"idx": 90, "text": "To find out how many pounds of potato salad Ted needs to bring, we can follow these steps:\n\n1.  **Determine the amount an adult eats:**\n    An adult dinosaur eats 10 lbs of potato salad.\n\n2.  **Determine the amount a child eats:**\n    A child eats half as much as an adult.\n    $10 \\text{ lbs} \\div 2 = 5 \\text{ lbs}$ per child.\n\n3.  **Calculate the total amount for the adults:**\n    There are 20 adults.\n    $20 \\text{ adults} \\times 10 \\text{ lbs/adult} = 200 \\text{ lbs}$.\n\n4.  **Calculate the total amount for the children:**\n    There are 5 children.\n    $5 \\text{ children} \\times 5 \\text{ lbs/child} = 25 \\text{ lbs}$.\n\n5.  **Calculate the total amount needed for everyone:**\n    Add the adult total and the child total together.\n    $200 \\text{ lbs} + 25 \\text{ lbs} = 225 \\text{ lbs}$.\n\nTed needs to bring 225 pounds of potato salad.\n\n#### 225", "pred": "225", "gold": "225", "correct": true, "n_new": 275, "stop": "stop", "seconds": 2.809901475906372}
{"idx": 91, "text": "To find the total number of pets the three people have, we can solve the problem step by step:\n\n1.  **Determine how many pets Cindy has:**\n    The problem states that Cindy has 4 pets.\n    *Cindy = 4*\n\n2.  **Determine how many pets Marcia has:**\n    The problem states that Marcia has two more pets than Cindy.\n    *Marcia = Cindy + 2*\n    *Marcia = 4 + 2 = 6*\n\n3.  **Determine how many pets Jan has:**\n    The problem states that Jan has three times the number of pets as Marcia.\n    *Jan = Marcia \u00d7 3*\n    *Jan = 6 \u00d7 3 = 18*\n\n4.  **Calculate the total number of pets:**\n    Add the number of pets owned by Cindy, Marcia, and Jan.\n    *Total = Cindy + Marcia + Jan*\n    *Total = 4 + 6 + 18*\n    *Total = 10 + 18 = 28*\n\n#### 28", "pred": "28", "gold": "28", "correct": true, "n_new": 236, "stop": "stop", "seconds": 2.627958297729492}
{"idx": 92, "text": "To find Jackson's age, we can solve the problem step-by-step by identifying the age of each child based on the information provided.\n\n1.  **Identify James's age:**\n    The problem states that James is 10 years old.\n    *   James = 10\n\n2.  **Find Corey's age:**\n    The problem states that James is 1 year younger than Corey. This means Corey is 1 year older than James.\n    *   Corey = James + 1\n    *   Corey = 10 + 1 = 11\n\n3.  **Find Amy's age:**\n    The problem states that Amy is 2 years younger than Corey.\n    *   Amy = Corey - 2\n    *   Amy = 11 - 2 = 9\n\n4.  **Find Jackson's age:**\n    The problem states that Amy is 5 years older than Jackson. This means Jackson is 5 years younger than Amy.\n    *   Jackson = Amy - 5\n    *   Jackson = 9 - 5 = 4\n\n#### 4", "pred": "4", "gold": "4", "correct": true, "n_new": 246, "stop": "stop", "seconds": 2.635303020477295}
{"idx": 93, "text": "To find out how fast Gerald can run the 400-meter hurdles, we can follow these steps:\n\n1.  **Determine Lee's original time and Gerald's original time:**\n    Lee runs the 400-meter hurdles in 38 seconds.\n    The problem states that Lee used to be 2 seconds faster than Gerald.\n    Let $G_{old}$ be Gerald's original time.\n    $38 = G_{old} - 2$\n    $G_{old} = 38 + 2 = 40$ seconds.\n\n2.  **Understand the impact of the diet on Gerald's speed:**\n    Gerald's diet improved his **speed** by 10%.\n    Speed ($v$) is inversely proportional to time ($t$) for a fixed distance ($d$), because $v = \\frac{d}{t}$.\n    Let $v_{old}$ be Gerald's old speed and $v_{new}$ be his new speed.\n    $v_{new} = v_{old} \\times (1 + 0.10) = 1.1 \\times v_{old}$.\n\n3.  **Calculate Gerald's new time:**\n    Since $t = \\frac{d}{v}$, the new time ($G_{new}$) can be calculated as:\n    $G_{new} = \\frac{d}{v_{new}} = \\frac{d}{1.1 \\times v_{old}}$\n    Since $G_{old} = \\frac{d}{v_{old}}$, we substitute:\n    $G_{new} = \\frac{G_{old}}{1.1}$\n    $G_{new} = \\frac{40}{1.1}$\n\n4.  **Perform the division:**\n    $G_{new} = \\frac{40}{1.1} = \\frac{400}{11}$\n    $400 \\div 11 \\approx 36.3636...$\n\n    However, usually in these types of problems, if \"improved speed by 10%\" is interpreted as a reduction in time (which is a common phrasing error in word problems), the calculation would be $40 - (0.1 \\times 40) = 36$. But strictly mathematically, speed and time are inversely proportional. Let", "pred": "36", "gold": "36", "correct": true, "n_new": 512, "stop": "length", "seconds": 6.173954248428345}
{"idx": 94, "text": "To solve the problem, we will break it down into steps based on the information provided.\n\n**Step 1: Determine the number of dogs.**\nThe problem states that the number of dogs is 60.\nDogs = 60\n\n**Step 2: Determine the number of cats.**\nThe problem states there are two cats for every dog.\nCats = 2 \u00d7 Dogs\nCats = 2 \u00d7 60 = 120\n\n**Step 3: Determine the combined number of dogs and cats.**\nCombined = Dogs + Cats\nCombined = 60 + 120 = 180\n\n**Step 4: Determine the number of rabbits.**\nThe problem states the number of rabbits is twelve less than the combined number of dogs and cats.\nRabbits = Combined - 12\nRabbits = 180 - 12 = 168\n\n**Step 5: Calculate the total number of pets.**\nThe total number of pets is the sum of the dogs, cats, and rabbits.\nTotal = Dogs + Cats + Rabbits\nTotal = 60 + 120 + 168\nTotal = 180 + 168\nTotal = 348\n\n#### 348", "pred": "348", "gold": "348", "correct": true, "n_new": 274, "stop": "stop", "seconds": 2.851020097732544}
{"idx": 95, "text": "To find the number of girls who are not in the Girl Scouts, we follow these steps:\n\n1.  **Find the number of boys:**\n    The total number of students is 200.\n    The fraction of boys is $2/5$.\n    Number of boys $= 200 \\times \\frac{2}{5} = 40 \\times 2 = 80$.\n\n2.  **Find the number of girls:**\n    Subtract the number of boys from the total number of students.\n    Number of girls $= 200 - 80 = 120$.\n\n3.  **Find the number of girls in the Girl Scouts:**\n    The problem states that $2/3$ of the girls are in the Girl Scouts.\n    Number of girls in Girl Scouts $= 120 \\times \\frac{2}{3} = 40 \\times 2 = 80$.\n\n4.  **Find the number of girls not in the Girl Scouts:**\n    Subtract the number of girls in the Girl Scouts from the total number of girls.\n    Number of girls not in Girl Scouts $= 120 - 80 = 40$.\n\nAlternatively, if $2/3$ of the girls are in the Girl Scouts, then $1/3$ of the girls are not.\n$120 \\times \\frac{1}{3} = 40$.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 314, "stop": "stop", "seconds": 3.5239431858062744}
{"idx": 96, "text": "To find out how many more hours Harry slept than James, we can follow these steps:\n\n1.  **Identify how many hours Harry slept:**\n    Harry slept 9 hours.\n\n2.  **Calculate how many hours James slept:**\n    James slept 2/3 of what Harry slept.\n    James's sleep = $\\frac{2}{3} \\times 9$\n    James's sleep = $\\frac{2 \\times 9}{3}$\n    James's sleep = $\\frac{18}{3}$\n    James's sleep = 6 hours.\n\n3.  **Calculate the difference between Harry's and James's sleep:**\n    Difference = Harry's sleep - James's sleep\n    Difference = 9 hours - 6 hours\n    Difference = 3 hours.\n\nHarry slept 3 more hours than James.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 191, "stop": "stop", "seconds": 2.113705635070801}
{"idx": 97, "text": "To find the number of tomatoes Freda used, we can follow these steps:\n\n1.  **Determine the volume of sauce produced per can:**\n    Each 16-ounce can of tomatoes loses half its volume when cooked into sauce.\n    $\\text{Volume of sauce per can} = 16 \\text{ ounces} \\times \\frac{1}{2} = 8 \\text{ ounces}$.\n\n2.  **Determine the number of cans used:**\n    Freda made 32 ounces of sauce in total. We divide the total sauce volume by the volume produced per can.\n    $\\text{Number of cans} = \\frac{32 \\text{ ounces}}{8 \\text{ ounces/can}} = 4 \\text{ cans}$.\n\n3.  **Determine the total number of tomatoes:**\n    Each can contains three tomatoes. We multiply the number of cans by the number of tomatoes per can.\n    $\\text{Total tomatoes} = 4 \\text{ cans} \\times 3 \\text{ tomatoes/can} = 12 \\text{ tomatoes}$.\n\n#### 12", "pred": "12", "gold": "12", "correct": true, "n_new": 238, "stop": "stop", "seconds": 2.5941100120544434}
{"idx": 98, "text": "To find out how many cars drove through the traffic jam in the first 15 minutes, we can follow these steps:\n\n1.  **Identify the total number of cars that drove through the jam:**\n    The problem states that there were originally 30 cars on the motorway. However, 5 cars took an exit and did not drive through the jam.\n    Total cars that drove through = Original cars - Cars that exited\n    Total cars that drove through = $30 - 5 = 25$\n\n2.  **Identify the number of cars that drove through in the second 15 minutes:**\n    The problem states that 20 cars drove through in the remaining 15 minutes.\n\n3.  **Calculate the number of cars that drove through in the first 15 minutes:**\n    To find this, we subtract the number of cars that drove through in the second half from the total number of cars that drove through.\n    Cars in first 15 mins = Total cars that drove through - Cars in second 15 mins\n    Cars in first 15 mins = $25 - 20 = 5$\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 248, "stop": "stop", "seconds": 3.0917482376098633}
{"idx": 99, "text": "To find the total number of potted plants Mary will have remaining, we can follow these steps:\n\n1.  **Calculate the initial number of plants on the ledges:**\n    Mary has 40 window ledges, and each ledge has 2 potted plants.\n    $40 \\times 2 = 80$ plants.\n\n2.  **Add the new plants received:**\n    Mary received 18 new plants yesterday.\n    $80 + 18 = 98$ plants.\n\n3.  **Calculate the number of plants she will give away:**\n    She plans to give 1 plant from each of the 40 ledges to her friends and family.\n    $40 \\times 1 = 40$ plants.\n\n4.  **Subtract the plants given away from the total:**\n    $98 - 40 = 58$ plants.\n\nMary will remain with 58 potted plants.\n\n#### 58", "pred": "58", "gold": "58", "correct": true, "n_new": 211, "stop": "stop", "seconds": 2.3253722190856934}