{"idx": 0, "text": "To find out how much Janet makes at the farmers' market every day, 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.  **Determine the number of eggs available for sale:**\n    The remainder of the eggs are sold at the market.\n    Remaining eggs = 9.\n\n5.  **Calculate the total daily earnings:**\n    Janet sells each egg for $2.\n    $9 \\text{ eggs} \\times \\$2/\\text{egg} = \\$18$.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 219, "stop": "stop", "seconds": 2.585846424102783}
{"idx": 1, "text": "To find the total number of bolts required for the robe, we can 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    Blue fiber = 2 bolts.\n\n2.  **Calculate the amount of white fiber:**\n    The problem states that the robe takes half as much white fiber as blue fiber.\n    White fiber = 2 bolts / 2 = 1 bolt.\n\n3.  **Calculate the total number of bolts:**\n    Add the amount of blue fiber and white fiber together.\n    Total = 2 bolts (blue) + 1 bolt (white) = 3 bolts.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 153, "stop": "stop", "seconds": 1.796114206314087}
{"idx": 2, "text": "To find the profit Josh made, we need to calculate his total investment, the final value of the house, and then subtract the investment from that final value.\n\n**Step 1: Calculate the total investment.**\nJosh spent money on the purchase and the repairs.\nPurchase price: $80,000\nRepair costs: $50,000\nTotal Investment = $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 base value is the purchase price of $80,000.\nIncrease in value = 150% of $80,000\nIncrease = 1.50 \u00d7 $80,000 = $120,000\n\nFinal Value = Original Value + Increase\nFinal Value = $80,000 + $120,000 = $200,000\n\n**Step 3: Calculate the profit.**\nProfit is the final value minus the total investment.\nProfit = Final Value - Total Investment\nProfit = $200,000 - $130,000\nProfit = $70,000\n\n#### 70000", "pred": "70000", "gold": "70000", "correct": true, "n_new": 302, "stop": "stop", "seconds": 3.3664979934692383}
{"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 per session, 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": 248, "stop": "stop", "seconds": 2.5294594764709473}
{"idx": 4, "text": "To find out how many cups of feed Wendi needs to give her chickens in the final meal, we can follow these steps:\n\n1.  **Determine the total number of cups of feed needed per day for the entire flock:**\n    *   Wendi has 20 chickens.\n    *   Each chicken eats 3 cups of feed per day.\n    *   Total cups needed = $20 \\text{ chickens} \\times 3 \\text{ cups/chicken} = 60 \\text{ cups}$.\n\n2.  **Calculate the total amount of feed already given in the first two meals:**\n    *   Morning meal: 15 cups.\n    *   Afternoon meal: 25 cups.\n    *   Total feed given so far = $15 + 25 = 40 \\text{ cups}$.\n\n3.  **Calculate the amount needed for the final meal:**\n    *   Subtract the amount already given from the total amount needed for the day.\n    *   Final meal = $60 \\text{ cups (total)} - 40 \\text{ cups (already given)} = 20 \\text{ cups}$.\n\n#### 20", "pred": "20", "gold": "20", "correct": true, "n_new": 256, "stop": "stop", "seconds": 3.1446692943573}
{"idx": 5, "text": "To find the total cost of the glasses, we need to determine the price of each glass and how many of each price there are.\n\n1.  **Identify the price of the first glass:**\n    The price of the first glass in each pair is $5.\n\n2.  **Calculate the price of the second glass:**\n    Every second glass costs 60% of the price of the first glass.\n    Price = $5 \\times 0.60 = $3.\n\n3.  **Determine the number of glasses at each price:**\n    Kylar wants to buy 16 glasses in total. Since the pricing alternates (one at $5, one at $3), we divide the total number of glasses by 2.\n    Number of $5 glasses = 16 / 2 = 8.\n    Number of $3 glasses = 16 / 2 = 8.\n\n4.  **Calculate the total cost for each group:**\n    Cost of the $5 glasses = $8 \\times 5 = $40.\n    Cost of the $3 glasses = $8 \\times 3 = $24.\n\n5.  **Calculate the total cost:**\n    Total cost = $40 + $24 = $64.\n\n#### 64", "pred": "64", "gold": "64", "correct": true, "n_new": 279, "stop": "stop", "seconds": 3.4613311290740967}
{"idx": 6, "text": "To find the total number of sheep in Toulouse, Charleston, and Seattle, we can solve the problem step by step based on the information provided:\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    To find the total, add the number of sheep from all three cities together.\n    Total = Toulouse + Charleston + Seattle\n    Total = 160 + 80 + 20\n    Total = 260\n\n#### 260", "pred": "260", "gold": "260", "correct": true, "n_new": 241, "stop": "stop", "seconds": 2.580573320388794}
{"idx": 7, "text": "To find the total time it takes for Carla to download the file, we will break the process down into three stages: the first download attempt, the update delay, and the second download attempt.\n\n**Step 1: Calculate the time for the first download attempt.**\nThe total file size is 200 GB. Carla downloads at a speed of 2 GB/minute.\nShe downloads 40% of the file before the restart.\n40% of 200 GB = $0.40 \\times 200 = 80$ GB.\nTime taken for the first 80 GB = $\\frac{80 \\text{ GB}}{2 \\text{ GB/min}} = 40$ minutes.\n\n**Step 2: Account for the Windows update restart.**\nThe update takes 20 minutes.\nTime for this stage = 20 minutes.\n\n**Step 3: Calculate the time for the second download attempt.**\nBecause the download restarts from the beginning, Carla must download the full 200 GB again.\nTime taken for the second download = $\\frac{200 \\text{ GB}}{2 \\text{ GB/min}} = 100$ minutes.\n\n**Step 4: Calculate the total time.**\nTotal time = (Time for first 40%) + (Update time) + (Time for full download)\nTotal time = $40 \\text{ minutes} + 20 \\text{ minutes} + 100 \\text{ minutes}$\nTotal time = $160$ minutes.\n\n#### 160", "pred": "160", "gold": "160", "correct": true, "n_new": 345, "stop": "stop", "seconds": 4.472431421279907}
{"idx": 8, "text": "To find out how far John is from home at the end of the 4 hours, we need to calculate the total distance he traveled away from home and subtract the distance he traveled back toward home.\n\n**Step 1: Calculate the distance from home after the first leg.**\nJohn drives for 3 hours at a speed of 60 mph.\nDistance = Speed \u00d7 Time\nDistance = 60 mph \u00d7 3 hours = 180 miles.\nAt this point, John is 180 miles away from home.\n\n**Step 2: Calculate the distance traveled back toward home during the 4-hour return trip.**\nJohn spends 4 hours trying to get home. We break this down into three segments:\n1.  **First 2 hours:** He is in standstill traffic.\n    Distance = 0 mph \u00d7 2 hours = 0 miles.\n2.  **Next half-hour (0.5 hours):** He drives at 30 mph.\n    Distance = 30 mph \u00d7 0.5 hours = 15 miles.\n3.  **Remaining time:**\n    Total time spent so far = 2 hours + 0.5 hours = 2.5 hours.\n    Remaining time = 4 hours - 2.5 hours = 1.5 hours.\n    He drives this remaining time at 80 mph.\n    Distance = 80 mph \u00d7 1.5 hours = 120 miles.\n\n**Step 3: Calculate the total distance traveled back 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 from home = 180 miles.\nDistance traveled back = 135 miles.\nFinal distance = 180 miles - 135 miles = 45 miles.\n\n#### 45", "pred": "45", "gold": "45", "correct": true, "n_new": 420, "stop": "stop", "seconds": 5.054973602294922}
{"idx": 9, "text": "To calculate Eliza's total earnings for the week, we need to break down her hours into regular time and overtime.\n\n**Step 1: Calculate regular earnings.**\nEliza works 40 regular hours at a rate of $10 per hour.\n$40 \\text{ hours} \\times \\$10/\\text{hour} = \\$400$\n\n**Step 2: Calculate the overtime rate.**\nOvertime pay is 1.2 times her regular hourly rate.\n$\\$10 \\times 1.2 = \\$12/\\text{hour}$\n\n**Step 3: Calculate the overtime hours.**\nEliza worked a total of 45 hours. Subtracting the 40 regular hours gives the overtime hours.\n$45 \\text{ hours} - 40 \\text{ hours} = 5 \\text{ hours}$\n\n**Step 4: Calculate overtime earnings.**\nMultiply the overtime hours by the overtime rate.\n$5 \\text{ hours} \\times \\$12/\\text{hour} = \\$60$\n\n**Step 5: Calculate total earnings.**\nAdd the regular earnings and the overtime earnings together.\n$\\$400 + \\$60 = \\$460$\n\n#### 460", "pred": "460", "gold": "460", "correct": true, "n_new": 271, "stop": "stop", "seconds": 3.0574734210968018}
{"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 first month had 60 downloads.\nMonth 1 = 60\n\n**Step 2: Calculate the downloads for the second month.**\nThe downloads in the second month were 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 downloads from each of the three months together:\nTotal = Month 1 + Month 2 + Month 3\nTotal = 60 + 180 + 126\nTotal = 240 + 126\nTotal = 366\n\n#### 366", "pred": "366", "gold": "366", "correct": true, "n_new": 298, "stop": "stop", "seconds": 3.020785331726074}
{"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\n$3 \\times 60 = 180$\n$3 \\times 8 = 24$\n$180 + 24 = 204$\nThe cost of the donuts is $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\n$2 \\times 80 = 160$\nThe cost of the mini cupcakes is $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\n$6 \\times 50 = 300$\n$6 \\times 5 = 30$\n$300 + 30 = 330$\nThe cost of the mini cheesecakes is $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\n$204 + 160 = 364$\n$364 + 330 = 694$\n\nThe total cost of the pastries is $694.\n\n#### 694", "pred": "694", "gold": "694", "correct": true, "n_new": 382, "stop": "stop", "seconds": 3.9609568119049072}
{"idx": 12, "text": "To find out how many years it will take for Carlos to start earning money, we need to calculate the annual profit from the tree and determine how long it takes to cover the initial cost.\n\n**Step 1: Calculate the annual revenue from the lemons.**\nThe tree produces 7 lemons per year, and each lemon sells for $1.50.\nAnnual Revenue = $7 \\times \\$1.50 = \\$10.50$\n\n**Step 2: Calculate the annual profit.**\nThe tree costs $3.00 a year to water and feed. We subtract this cost from the annual revenue.\nAnnual Profit = Annual Revenue - Annual Cost\nAnnual Profit = $\\$10.50 - \\$3.00 = \\$7.50$\n\n**Step 3: Determine the time needed to cover the initial cost.**\nThe initial cost to plant the tree is $90. We divide the initial cost by the annual profit to find the number of years.\nYears = Initial Cost / Annual Profit\nYears = $\\$90 / \\$7.50$\n\nTo simplify the division:\n$90 / 7.5 = 900 / 75$\n$900 / 75 = 12$\n\nAfter 12 years, the total profit earned will be $12 \\times \\$7.50 = \\$90$. Since the cost was $90, he has broken even at exactly 12 years. To \"start earning money\" (meaning a net profit), he will begin to see a positive balance starting in the 13th year. However, in mathematical word problems of this type, the point at which the investment is paid off is typically the answer.\n\nLet's double check:\nYear 12: Total Profit = $90 (Breakeven)\nYear 13: Total Profit = $97.50 (First year of actual profit)\n\nUsually, \"how many years will it take before he starts earning money\" refers to the point where the accumulated profit exceeds the initial cost.\n\nCalculation: $90 / 7.5 = 12$.\nAt 12 years, he has $0 profit. At 13 years, he has $7.50 profit.\n\n#### 13", "pred": "13", "gold": "13", "correct": true, "n_new": 492, "stop": "stop", "seconds": 6.82206392288208}
{"idx": 13, "text": "To find out how many 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, leaving her with 5.\n    If 5 is the half that remained, the amount she had before the orange house sale was:\n    $5 \\times 2 = 10$.\n\n3.  **Reverse the sale at the red house:**\n    She sold 2 vacuum cleaners at the red house to arrive at the amount she had for the orange house (10).\n    The amount she had before the red house sale was:\n    $10 + 2 = 12$.\n\n4.  **Reverse the sale at the green house:**\n    She sold a third of her total vacuum cleaners at the green house. This means the 12 vacuum cleaners remaining represent two-thirds ($1 - 1/3 = 2/3$) of her original total.\n    Let $x$ be the starting number.\n    $\\frac{2}{3}x = 12$\n    To solve for $x$, multiply both sides by 3/2:\n    $x = 12 \\times \\frac{3}{2}$\n    $x = 6 \\times 3 = 18$.\n\n**Verification:**\n- Start with 18.\n- Green house: Sold 1/3 of 18 (6). Left: $18 - 6 = 12$.\n- Red house: Sold 2. Left: $12 - 2 = 10$.\n- Orange house: Sold half of 10 (5). Left: $10 - 5 = 5$.\nThe numbers match.\n\n#### 18", "pred": "18", "gold": "18", "correct": true, "n_new": 416, "stop": "stop", "seconds": 5.518225431442261}
{"idx": 14, "text": "To find the percentage of students enrolled in hip-hop dance, we will calculate the number of students in each category step by step.\n\n**Step 1: Find the number of students in contemporary dance.**\nThe total number of students is 20.\n20% of 20 students = $0.20 \\times 20 = 4$ students.\nSo, 4 students are in contemporary dance.\n\n**Step 2: Find the number of remaining students.**\nTotal students - Contemporary students = Remaining students\n$20 - 4 = 16$ students.\n\n**Step 3: Find the number of students in jazz dance.**\n25% of the remaining 16 students enrolled in jazz dance.\n25% of 16 = $0.25 \\times 16 = 4$ students.\nSo, 4 students are in jazz dance.\n\n**Step 4: Find the number of students in hip-hop dance.**\nThe rest of the students enrolled in hip-hop dance.\nRemaining students - Jazz students = Hip-hop students\n$16 - 4 = 12$ students.\n\n**Step 5: Calculate the percentage of the entire class enrolled in hip-hop dance.**\nTo find the percentage, we 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": 337, "stop": "stop", "seconds": 3.847285509109497}
{"idx": 15, "text": "To find the maximum profit the merchant can achieve, we need to calculate the expected profit for both purchase plans and choose the higher value.\n\n**Step 1: Calculate the profit for the jewelry purchase.**\n*   Initial value of jewelry: $5,000\n*   Expected market rise: 2.5%\n*   Profit calculation: $5,000 \\times 0.025$\n*   Calculation: $5,000 \\times 0.025 = 125$\n*   Profit from jewelry: $125\n\n**Step 2: Calculate the profit for the electronic gadgets purchase.**\n*   Initial value of gadgets: $8,000\n*   Expected market rise: 1.2%\n*   Profit calculation: $8,000 \\times 0.012$\n*   Calculation: $8,000 \\times 0.012 = 96$\n*   Profit from gadgets: $96\n\n**Step 3: Compare the profits and select the maximum.**\n*   Profit from jewelry: $125\n*   Profit from gadgets: $96\n*   The merchant wants to maximize profit, so he will choose the jewelry.\n*   Maximum profit: $125\n\n#### 125", "pred": "125", "gold": "125", "correct": true, "n_new": 289, "stop": "stop", "seconds": 3.40175724029541}
{"idx": 16, "text": "To find the distance covered by each train, we need to calculate the total distance traveled by one train over the two days and then apply that to both trains, as they follow the same itinerary.\n\n**Step 1: Calculate the distance traveled on the first day.**\nBoth trains travel westward for 80 miles.\nDistance Day 1 = 80 miles.\n\n**Step 2: Calculate the distance traveled on the second day.**\nBoth trains travel northwards for 150 miles.\nDistance Day 2 = 150 miles.\n\n**Step 3: Calculate the total distance covered by one train.**\nTo find the total distance, we add the distance from the first day and the second day.\nTotal Distance = Distance Day 1 + Distance Day 2\nTotal Distance = 80 miles + 150 miles\nTotal Distance = 230 miles.\n\n**Step 4: Determine the distance for each train.**\nSince both trains started at the same time, traveled the same distance westward, and traveled the same distance northward, they both covered the same total distance.\nTrain 1 = 230 miles\nTrain 2 = 230 miles\n\n#### 230", "pred": "230", "gold": "230", "correct": true, "n_new": 259, "stop": "stop", "seconds": 2.998300552368164}
{"idx": 17, "text": "To find Jill's annual salary, we need to calculate her earnings from teaching and her earnings from coaching separately, then add them together.\n\n**Step 1: Calculate weekly earnings from teaching.**\nJill works 35 hours a week as a teacher at a rate of $20 per hour.\n$35 \\text{ hours/week} \\times \\$20/\\text{hour} = \\$700 \\text{ per week}$\n\n**Step 2: Calculate weekly earnings from coaching.**\nJill works 15 hours a week as a coach at a rate of $30 per hour.\n$15 \\text{ hours/week} \\times \\$30/\\text{hour} = \\$450 \\text{ per week}$\n\n**Step 3: Calculate total weekly earnings.**\nAdd the weekly teaching earnings and the weekly coaching earnings.\n$\\$700 + \\$450 = \\$1,150 \\text{ per week}$\n\n**Step 4: Calculate annual salary.**\nJill works 50 weeks a year. Multiply her total weekly earnings by the number of weeks.\n$\\$1,150 \\text{ per week} \\times 50 \\text{ weeks} = \\$57,500$\n\n#### 57500", "pred": "57500", "gold": "57500", "correct": true, "n_new": 278, "stop": "stop", "seconds": 3.166076421737671}
{"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    Daily eggs = 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 = 21 eggs\n\n3.  **Calculate the 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": 188, "stop": "stop", "seconds": 2.3140933513641357}
{"idx": 19, "text": "To find the speed Marissa needs to walk for the remaining distance, we can follow these steps:\n\n**Step 1: Determine the total distance and the target total time.**\nThe total distance of the trail is 12 miles.\nMarissa wants her average speed to be 4 miles per hour.\nAverage speed is calculated as $\\text{Total Distance} \\div \\text{Total Time}$.\nTo find the required total time:\n$\\text{Total Time} = \\frac{\\text{Total Distance}}{\\text{Average Speed}} = \\frac{12 \\text{ miles}}{4 \\text{ mph}} = 3 \\text{ hours}$.\n\n**Step 2: Calculate the distance and time already covered.**\n- First segment: She walked 4 miles in 1 hour.\n- Second segment: She walked 2 miles in 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**Step 3: Calculate the remaining distance and remaining time.**\n- Remaining distance: $12 \\text{ miles} - 6 \\text{ miles} = 6 \\text{ miles}$.\n- Remaining time: $3 \\text{ hours} - 2 \\text{ hours} = 1 \\text{ hour}$.\n\n**Step 4: Calculate the required speed for the remaining distance.**\nTo cover the remaining 6 miles in the remaining 1 hour, we use the speed formula:\n$\\text{Speed} = \\frac{\\text{Remaining Distance}}{\\text{Remaining Time}}$\n$\\text{Speed} = \\frac{6 \\text{ miles}}{1 \\text{ hour}} = 6 \\text{ mph}$.\n\n#### 6", "pred": "6", "gold": "6", "correct": true, "n_new": 385, "stop": "stop", "seconds": 4.4762773513793945}
{"idx": 20, "text": "To find the total amount of water in the final mixture, we will calculate the water content of each drink step by step.\n\n**Step 1: Calculate the initial water in the orange drink.**\nThe orange drink is 10 liters, and two-thirds of it is water.\nWater in orange drink = $10 \\times \\frac{2}{3} = \\frac{20}{3}$ liters.\n\n**Step 2: Account for the spilled orange drink.**\nOne liter of the orange drink is spilled. Since the drink is a uniform mixture, the spilled liter contains the same proportion of water as the drink itself ($\\frac{2}{3}$).\nWater spilled = $1 \\times \\frac{2}{3} = \\frac{2}{3}$ liters.\nRemaining water in orange drink = $\\frac{20}{3} - \\frac{2}{3} = \\frac{18}{3} = 6$ liters.\n\n**Step 3: Calculate the water in the pineapple drink.**\nThe pineapple drink is 15 liters, and three-fifths of it is water.\nWater in pineapple drink = $15 \\times \\frac{3}{5} = 3 \\times 3 = 9$ liters.\n\n**Step 4: Calculate the total volume and total water.**\nThe volume of the remaining orange drink is $10 - 1 = 9$ liters.\nThe volume of the pineapple drink is 15 liters.\nTotal volume = $9 + 15 = 24$ liters (this matches the volume given in the problem).\n\nThe total amount of water is the sum of the water from the remaining orange drink and the pineapple drink:\nTotal water = $6 \\text{ (orange)} + 9 \\text{ (pineapple)} = 15$ liters.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 396, "stop": "stop", "seconds": 4.740657806396484}
{"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.\n    Raymond was born 6 years before Samantha, which means 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 at the age of 23.\n\n3.  **Calculate how many years ago the son was born:**\n    Subtract the age Raymond was when his son was born from Raymond's current age.\n    $37 - 23 = 14$ years.\n\nAlternatively, you can calculate the birth years:\n- Samantha was born 31 years ago.\n- Raymond was born 37 years ago (31 + 6).\n- Raymond's son was born when Raymond was 23.\n- $37 - 23 = 14$ years ago.\n\n#### 14", "pred": "14", "gold": "14", "correct": true, "n_new": 242, "stop": "stop", "seconds": 3.3537862300872803}
{"idx": 22, "text": "To find the total number of DVDs Billy sold, we can break the problem down into groups of customers:\n\n1.  **First group of customers:**\n    There were 3 customers who bought 1 DVD each.\n    $3 \\times 1 = 3$ DVDs.\n\n2.  **Second group of customers:**\n    There were 2 customers who bought 2 DVDs each.\n    $2 \\times 2 = 4$ DVDs.\n\n3.  **Third group of customers:**\n    There were 3 customers who bought 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(Verification: Total customers = $3 + 2 + 3 = 8$, which matches the problem description.)\n\n#### 7", "pred": "7", "gold": "7", "correct": true, "n_new": 199, "stop": "stop", "seconds": 2.2155580520629883}
{"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    $5 - 1 = 4$ 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": 151, "stop": "stop", "seconds": 1.6992781162261963}
{"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 Percentage = 25%\n\n2.  **Understand the relationship between the prices:**\n    *   If the book was discounted by 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 isolate $x$, divide the sale price by the percentage paid:\n    *   $x = \\frac{19.50}{0.75}$\n\n5.  **Perform the calculation:**\n    *   To make it easier, you can multiply both numbers by 100 to remove the decimals: $\\frac{1950}{75}$\n    *   Divide 1950 by 75:\n        *   $75 \\times 2 = 150$\n        *   $195 - 150 = 45$\n        *   Bring down the 0 to make 450.\n        *   $75 \\times 6 = 450$\n    *   $x = 26$\n\n6.  **Verify the answer:**\n    *   25% of $26.00$ is $26 \\times 0.25 = 6.50$.\n    *   $26.00 - 6.50 = 19.50$. The calculation is correct.\n\n#### 26.00", "pred": "26", "gold": "26", "correct": true, "n_new": 416, "stop": "stop", "seconds": 4.376589298248291}
{"idx": 25, "text": "To find the number of boxes of pizza Marie ordered, we need to calculate the cost of all the items she purchased and subtract that from the total amount paid.\n\n**Step 1: Calculate the cost of the chicken meal.**\nMarie ordered 1 chicken meal.\nCost = $1 \\times \\$12 = \\$12$\n\n**Step 2: Calculate the cost of the milk.**\nMarie ordered 5 packs of milk at $3 each.\nCost = $5 \\times \\$3 = \\$15$\n\n**Step 3: Calculate the cost of the apples.**\nMarie ordered 4 apples at $1.50 each.\nCost = $4 \\times \\$1.50 = \\$6$\n\n**Step 4: Calculate the subtotal of these items.**\nSubtotal = Cost of chicken + Cost of milk + Cost of apples\nSubtotal = $\\$12 + \\$15 + \\$6 = \\$33$\n\n**Step 5: Calculate the total amount spent on pizza.**\nMarie paid a total of $50. We subtract the subtotal from the total paid.\nPizza Cost = Total Paid - Subtotal\nPizza Cost = $\\$50 - \\$33 = \\$17$\n\n**Step 6: Calculate the number of pizza boxes.**\nEach box of pizza costs $8.50. We divide the total pizza cost by the price per box.\nNumber of boxes = $\\$17 / \\$8.50$\nNumber of boxes = 2\n\n#### 2", "pred": "2", "gold": "2", "correct": true, "n_new": 323, "stop": "stop", "seconds": 3.743651866912842}
{"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 at $16.50 each.\n$3 \\times 16.50 = 49.50$\nSo, the shorts cost $49.50.\n\n**Step 2: Calculate the cost of the pants.**\nMishka bought 3 pairs of pants at $22.50 each.\n$3 \\times 22.50 = 67.50$\nSo, the pants cost $67.50.\n\n**Step 3: Calculate the cost of the shoes.**\nMishka bought 3 pairs of shoes at $42.00 each.\n$3 \\times 42.00 = 126.00$\nSo, the shoes cost $126.00.\n\n**Step 4: Calculate the total cost.**\nAdd the costs of the shorts, pants, and shoes together:\n$49.50 + 67.50 + 126.00$\nFirst, add the shorts and pants: $49.50 + 67.50 = 117.00$\nThen, add the shoes: $117.00 + 126.00 = 243.00$\n\nMishka spent a total of $243.00.\n\n#### 243", "pred": "243", "gold": "243", "correct": true, "n_new": 353, "stop": "stop", "seconds": 3.534651279449463}
{"idx": 27, "text": "To find out how much Cynthia spends 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    $1 \\text{ serving/day} \\times 60 \\text{ days} = 60 \\text{ servings}$\n\n2.  **Determine how many cartons she needs to buy:**\n    Each carton contains 15 servings. To find the number of cartons, divide the total servings by the servings per carton.\n    $60 \\text{ servings} \\div 15 \\text{ servings/carton} = 4 \\text{ cartons}$\n\n3.  **Calculate the total cost:**\n    Each carton costs $4.00. Multiply the number of cartons by the cost per carton.\n    $4 \\text{ cartons} \\times \\$4.00/\\text{carton} = \\$16.00$\n\n#### 16", "pred": "16", "gold": "16", "correct": true, "n_new": 220, "stop": "stop", "seconds": 2.3281097412109375}
{"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    Since the total distance is 60 miles, we subtract 15 from 60:\n    $60 - 15 = 45$ miles.\n    Second stop = 45 miles from the start.\n\n4.  **Calculate the distance between the first and second stops:**\n    To find the distance between the two stops, 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": 237, "stop": "stop", "seconds": 2.683187484741211}
{"idx": 29, "text": "To find the cost of the boots, we can follow these steps:\n\n1.  **Find the cost of the first pair of high heels:**\n    The problem states that one pair of heels costs $33.\n\n2.  **Find 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.  **Find the total cost of the two pairs of high heels:**\n    Add the cost of the first pair and the second pair together.\n    $33 + 66 = 99$\n    The total cost for the two pairs of heels is $99.\n\n4.  **Find 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": 245, "stop": "stop", "seconds": 2.541041135787964}
{"idx": 30, "text": "To solve the problem, we will follow these steps:\n\n**Step 1: Determine the ratio and the sum of parts.**\nThe ratio of Darrell's age to Allen's age is given as $7:11$.\nThe total parts in the ratio are $7 + 11 = 18$.\n\n**Step 2: Find the value of one \"part\".**\nWe are told that the sum of their current ages is $162$.\nTo find the value of one part, we divide the total age by the total number of parts:\n$162 \\div 18 = 9$.\n\n**Step 3: Calculate Allen's current age.**\nSince Allen's portion of the ratio is 11 parts, we multiply the value of one part by 11:\n$11 \\times 9 = 99$.\nSo, Allen is currently 99 years old.\n\n**Step 4: Calculate Allen's age 10 years from now.**\nTo find his age in 10 years, we add 10 to his current age:\n$99 + 10 = 109$.\n\n#### 109", "pred": "109", "gold": "109", "correct": true, "n_new": 259, "stop": "stop", "seconds": 2.896267890930176}
{"idx": 31, "text": "To find the average guess, we need to determine the individual guesses of the three friends and then calculate their 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 the first one.\"\nHalf of the first guess is: $80 / 2 = 40$.\nAdding 20 to 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 one.\"\n25% of the first guess is: $0.25 \\times 80 = 20$.\nAdding that to the first guess: $80 + 20 = 100$.\nThe third guess is **100**.\n\n**Step 4: Calculate the average of the three guesses.**\nThe three guesses are 80, 60, and 100.\nSum of the guesses: $80 + 60 + 100 = 240$.\nNumber of friends: 3.\nAverage: $240 / 3 = 80$.\n\n#### 80", "pred": "80", "gold": "80", "correct": true, "n_new": 294, "stop": "stop", "seconds": 3.2657642364501953}
{"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 total hours spent per day:**\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 total hours spent per week:**\n    There are 7 days in a week. To find the weekly total, multiply the daily hours 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": 168, "stop": "stop", "seconds": 1.8584949970245361}
{"idx": 33, "text": "To find out how many gold coins Gretchen has, we can follow these steps:\n\n1.  **Define 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    Combine the $S$ terms:\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    Now, use the value of $S$ to find $G$:\n    $G = S + 30$\n    $G = 40 + 30$\n    $G = 70$\n\n6.  **Verify the result:**\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": 372, "stop": "stop", "seconds": 3.5894880294799805}
{"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\n**Step 1: Determine how many jewels Raymond has.**\nThe problem states that Raymond has 40 jewels.\nRaymond = 40\n\n**Step 2: Determine how many jewels Aaron has.**\nThe problem states that Aaron has 5 more jewels than half of Raymond's jewels.\nFirst, calculate half of Raymond's jewels:\n$40 \\div 2 = 20$\nNext, add 5 to that amount:\n$20 + 5 = 25$\nSo, Aaron has 25 jewels.\n\n**Step 3: Determine how many jewels Siobhan has.**\nThe problem states that Siobhan has 2 fewer jewels than Aaron.\nSubtract 2 from Aaron's total:\n$25 - 2 = 23$\n\nSiobhan has 23 jewels.\n\n#### 23", "pred": "23", "gold": "23", "correct": true, "n_new": 213, "stop": "stop", "seconds": 2.3189949989318848}
{"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 he did in the first 20 minutes.\n    First, calculate 25% of 4:\n    $4 \\times 0.25 = 1$\n    Then, add this to the initial 4 points:\n    $4 + 1 = 5$ points.\n    (Alternatively: $4 \\times 1.25 = 5$ points).\n\n3.  **Calculate the total points scored:**\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": 209, "stop": "stop", "seconds": 2.3200228214263916}
{"idx": 36, "text": "To find out how much Terry spends on yogurt over 30 days, we can 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 the price per yogurt:**\n    The sale is 4 yogurts for $5.00.\n    $\\$5.00 \\div 4 \\text{ yogurts} = \\$1.25 \\text{ per yogurt}$.\n\n3.  **Calculate the total cost for 60 yogurts:**\n    Multiply the total number of yogurts by the price per yogurt.\n    $60 \\text{ yogurts} \\times \\$1.25 = \\$75.00$.\n\n    *Alternative method for step 3:*\n    Determine how many \"sets\" of 4 yogurts Terry buys.\n    $60 \\text{ yogurts} \\div 4 = 15 \\text{ sets}$.\n    Multiply the number of sets by the price per set.\n    $15 \\text{ sets} \\times \\$5.00 = \\$75.00$.\n\n#### 75.00", "pred": "75", "gold": "75", "correct": true, "n_new": 294, "stop": "stop", "seconds": 3.204925060272217}
{"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 earned from selling lego sets:**\n    John had 13 lego sets and sold them for $15 each.\n    $13 \\times \\$15 = \\$195$\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\n3.  **Determine how much money he should have left:**\n    Subtract the cost of the games from the total money earned.\n    $\\$195 - \\$160 = \\$35$\n\n4.  **Compare the expected remainder with the actual remainder:**\n    The problem states he has $5 left. However, based on the math, he should have had $35 left.\n    Difference = $\\$35 - \\$5 = \\$30$\n\n5.  **Determine how many lego sets were not sold:**\n    Since the difference is $30 and each lego set is worth $15, we can find the number of sets he kept.\n    $\\$30 \\div \\$15 = 2$\n\nAlternatively, we can look at it this way:\nTotal money earned from sold sets = (Total sets sold $\\times$ $15)\nMoney spent + Money left = (Total sets sold $\\times$ $15)\n$\\$160 + \\$5 = \\$165$\nNumber of sets sold = $\\$165 \\div \\$15 = 11$\nNumber of sets remaining = Total sets - Sold sets\n$13 - 11 = 2$\n\n#### 2", "pred": "2", "gold": "2", "correct": true, "n_new": 380, "stop": "stop", "seconds": 4.996372938156128}
{"idx": 38, "text": "To find out how fast John runs, we need to determine the total distance he runs per day and the total time he spends running.\n\n**Step 1: Determine the running time for each day.**\n*   Day 1: John runs for 3 hours.\n*   Day 2: He runs half as much as Day 1. $3 \\text{ hours} \\div 2 = 1.5 \\text{ hours}$.\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 = $3 + 1.5 + 1.5 = 6 \\text{ hours}$.\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 is calculated as $\\text{Distance} \\div \\text{Time}$.\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": 261, "stop": "stop", "seconds": 2.9904747009277344}
{"idx": 39, "text": "To solve the problem, we need to determine the speeds for each activity and then calculate the distance traveled based on the time spent on each activity.\n\n**Step 1: Determine the speed for each activity.**\n1.  **Skipping speed:** Given as $3 \\text{ mph}$.\n2.  **Running speed:** We are told she can skip at a rate half as fast as she can run. Therefore, her running speed is twice her skipping speed:\n    $$\\text{Running speed} = 3 \\text{ mph} \\times 2 = 6 \\text{ mph}$$\n3.  **Walking speed:** We are told she can run four times faster than she can walk. Therefore, her walking speed is one-fourth of her running speed:\n    $$\\text{Walking speed} = 6 \\text{ mph} \\div 4 = 1.5 \\text{ mph}$$\n\n**Step 2: Determine the time spent on each activity.**\nThe total time is $6 \\text{ hours}$.\n1.  **Time running:** One-third of the total time.\n    $$\\text{Time running} = \\frac{1}{3} \\times 6 \\text{ hours} = 2 \\text{ hours}$$\n2.  **Time walking:** Two-thirds of the total time.\n    $$\\text{Time walking} = \\frac{2}{3} \\times 6 \\text{ hours} = 4 \\text{ hours}$$\n\n**Step 3: Calculate the distance traveled.**\nDistance is calculated as $\\text{Speed} \\times \\text{Time}$.\n1.  **Distance running:**\n    $$\\text{Distance}_r = 6 \\text{ mph} \\times 2 \\text{ hours} = 12 \\text{ miles}$$\n2.  **Distance walking:**\n    $$\\text{Distance}_w = 1.5 \\text{ mph} \\times 4 \\text{ hours} = 6 \\text{ miles}$$\n\n**Step 4: 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": 477, "stop": "stop", "seconds": 5.0849692821502686}
{"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 the age of Suzy's iPhone:**\n    The problem states that Suzy's iPhone is 1 year old.\n    *   Suzy's iPhone = 1 year\n\n2.  **Calculate the age of Ben's iPhone:**\n    The problem states that Ben's iPhone is two times older (twice as old) than Suzy's iPhone.\n    *   Ben's iPhone = 2 \u00d7 Suzy's iPhone\n    *   Ben's iPhone = 2 \u00d7 1 = 2 years\n\n3.  **Calculate the age of Brandon's iPhone:**\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": 214, "stop": "stop", "seconds": 2.472933292388916}
{"idx": 41, "text": "To solve the problem, we need to determine the maximum distance Polly can throw the javelin while holding the gemstone and then subtract the dragon's reach.\n\n1.  **Identify the dragon's reach:**\n    The dragon's flames reach a distance of 1000 feet.\n\n2.  **Identify Polly's base throwing distance:**\n    Without the gemstone, Polly can throw the gold javelin 400 feet.\n\n3.  **Calculate Polly's throwing distance with the gemstone:**\n    When holding the sapphire gemstone, she can throw the javelin three times farther than her base distance.\n    $400 \\text{ feet} \\times 3 = 1200 \\text{ feet}$.\n\n4.  **Determine the distance outside the dragon's reach:**\n    We need to find how far outside the 1000-foot flame zone Polly can stand and still hit the dragon. This is the difference between her maximum throwing distance and the dragon's reach.\n    $1200 \\text{ feet} - 1000 \\text{ feet} = 200 \\text{ feet}$.\n\nPolly can stand 200 feet outside the reach of the dragon's flames and still hit the dragon.\n\n#### 200", "pred": "200", "gold": "200", "correct": true, "n_new": 280, "stop": "stop", "seconds": 3.418787956237793}
{"idx": 42, "text": "To find the number of pieces taken by the guests, we can follow these steps:\n\n1.  **Calculate the total number of pieces 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 the number of pieces remaining:**\n    At the end of the evening, there were 14 pieces left on the table.\n\n3.  **Calculate the number of pieces taken:**\n    To find out how many pieces were 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": 169, "stop": "stop", "seconds": 1.8120992183685303}
{"idx": 43, "text": "To find out how many grams of chips you can eat, follow these steps:\n\n1.  **Determine the remaining calories available:**\n    Your daily target is 2000 calories, and you have already consumed 1800 calories.\n    $2000 - 1800 = 200$ calories remaining.\n\n2.  **Calculate the calories per gram of chips:**\n    First, find the weight of one serving. The bag is 300g and contains 5 servings.\n    $300\\text{g} \\div 5 = 60\\text{g per serving}$.\n    Since one serving is 250 calories, we find the calories per gram:\n    $250\\text{ calories} \\div 60\\text{g} = 4.166... \\text{ calories per gram}$.\n\n3.  **Calculate the total grams you can eat:**\n    Divide the remaining calories by the calories per gram.\n    $200\\text{ calories} \\div (250\\text{ calories} / 60\\text{g})$\n    This is equivalent to:\n    $200 \\times (60 / 250)$\n    $200 \\times 0.24 = 48\\text{g}$.\n\nAlternatively, you can calculate how many servings you can have:\n$200\\text{ calories remaining} \\div 250\\text{ calories per serving} = 0.8\\text{ servings}$.\nMultiply the number of servings by the weight per serving:\n$0.8 \\times 60\\text{g} = 48\\text{g}$.\n\n#### 48", "pred": "48", "gold": "48", "correct": true, "n_new": 384, "stop": "stop", "seconds": 4.685840368270874}
{"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 how much beeswax is needed.**\nCharlie wants to make and sell 20 candles. Since 1 pound of beeswax makes 10 candles, we divide the total number of candles by the yield per pound:\n20 candles \u00f7 10 candles/pound = 2 pounds of beeswax.\n\n**Step 2: Calculate the total cost of supplies.**\nThe cost for 1 pound of beeswax and wicks is $10.00. Since Charlie needs 2 pounds:\n2 pounds \u00d7 $10.00/pound = $20.00 total cost.\n\n**Step 3: Calculate the total revenue.**\nCharlie sells each candle for $2.00. He sells 20 candles:\n20 candles \u00d7 $2.00/candle = $40.00 total revenue.\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": 263, "stop": "stop", "seconds": 3.0528833866119385}
{"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.\n\"2/5 times more\" means the original amount plus 2/5 of that amount.\nIncrease = $5 \\times \\frac{2}{5} = 2$ articles.\nTuesday = $5 + 2 = 7$ articles.\n\n**Step 3: Determine the number of articles written on Wednesday.**\nShe wrote twice the number of articles she wrote on Tuesday.\nWednesday = $7 \\times 2 = 14$ articles.\n\n**Step 4: Calculate the total number of articles written in the three days.**\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\nTotal hours = $26 \\times 4 = 104$ hours.\n\n#### 104", "pred": "104", "gold": "104", "correct": true, "n_new": 312, "stop": "stop", "seconds": 3.666992425918579}
{"idx": 46, "text": "To find the number of Post-it notes in the package Candice purchased, we can follow these steps:\n\n1.  **Identify the starting amount:**\n    Candice started with 80 Post-it notes in her purse.\n\n2.  **Identify the amount used:**\n    She placed a single Post-it note on each of 220 cups of coffee. This means she used 220 Post-it notes.\n\n3.  **Identify the final amount:**\n    After using the notes, she had 23 Post-it notes remaining.\n\n4.  **Calculate the total number of Post-it notes she had in total:**\n    The total number of notes she had is the sum of the notes she used and the notes she had left over.\n    Total notes = Notes used + Notes remaining\n    Total notes = 220 + 23 = 243\n\n5.  **Calculate the number of notes in the purchased package:**\n    The total number of notes she had is also the sum of the notes she started with and the notes she bought at the store.\n    Total notes = Starting notes + Purchased notes\n    243 = 80 + Purchased notes\n\n    To find the purchased notes, subtract the starting notes from the total:\n    Purchased notes = 243 - 80\n    Purchased notes = 163\n\n**Verification:**\nStarted with 80.\nBought 163.\nTotal = 80 + 163 = 243.\nUsed 220.\nRemaining = 243 - 220 = 23.\nThe numbers match the problem description.\n\n#### 163", "pred": "163", "gold": "163", "correct": true, "n_new": 372, "stop": "stop", "seconds": 4.733042240142822}
{"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 ties.\n\n**Step 2: Determine the number of red ties John bought.**\nJohn bought 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 ties.\n\n**Step 3: Determine the cost of each red tie.**\nThe red ties cost 50% more than the blue ties.\nCost of blue tie = $40.\nCost of red tie = $40 + (50% of $40)\nCost of red tie = $40 + $20 = $60.\n\n**Step 4: Determine the total amount spent on red ties.**\nJohn bought 10 red ties at $60 each.\nTotal spent on red ties = 10 \u00d7 $60 = $600.\n\n**Step 5: Determine the total amount spent on all ties.**\nTotal spent = Total spent on blue ties + Total spent on red ties\nTotal spent = $200 + $600 = $800.\n\n#### 800", "pred": "800", "gold": "800", "correct": true, "n_new": 321, "stop": "stop", "seconds": 3.570312976837158}
{"idx": 48, "text": "To find the number of pieces Tracy obtained, we need to divide the total length of the wire by the length of each piece. Since the units are different (feet and inches), we must first convert them to the same unit.\n\n**Step 1: Convert the total length of the wire from feet to inches.**\nWe know that 1 foot = 12 inches.\nThe total length of the wire is 4 feet.\n$$4 \\text{ feet} \\times 12 \\text{ inches/foot} = 48 \\text{ inches}$$\n\n**Step 2: Divide the total length in inches by the length of each piece.**\nThe wire was cut into pieces that are 6 inches long.\n$$\\text{Number of pieces} = \\frac{\\text{Total length in inches}}{\\text{Length of each piece in inches}}$$\n$$\\text{Number of pieces} = \\frac{48 \\text{ inches}}{6 \\text{ inches}}$$\n\n**Step 3: Calculate the result.**\n$$48 \\div 6 = 8$$\n\nTracy obtained 8 pieces of wire.\n\n#### 8", "pred": "8", "gold": "8", "correct": true, "n_new": 240, "stop": "stop", "seconds": 2.6297857761383057}
{"idx": 49, "text": "To find the total number of unoccupied units in the building, we can follow these steps:\n\n1.  **Calculate the total number of units in the building:**\n    The building has 15 floors, and each floor has 8 units.\n    Total units = $15 \\times 8$\n    $15 \\times 8 = 120$ units.\n\n2.  **Determine the fraction of unoccupied units:**\n    If $3/4$ of the building is occupied, 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 = $120 \\times 1/4$\n    $120 \\div 4 = 30$.\n\nAlternatively, you can find the number of occupied units first:\nOccupied units = $120 \\times 3/4 = 90$.\nUnoccupied units = $120 - 90 = 30$.\n\n#### 30", "pred": "30", "gold": "30", "correct": true, "n_new": 246, "stop": "stop", "seconds": 2.6868345737457275}
{"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{ per 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 \\text{ days} = \\$294$\n\n#### 294", "pred": "294", "gold": "294", "correct": true, "n_new": 298, "stop": "stop", "seconds": 3.0524260997772217}
{"idx": 51, "text": "To find out how long it takes Tom to get back, we need to determine the distance he traveled and then calculate the time taken for the return trip.\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 travels at a speed of 10 miles per hour for 3 hours.\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\nIt takes Tom 5 hours to get back.\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 199, "stop": "stop", "seconds": 2.2689573764801025}
{"idx": 52, "text": "To find out how many toys Uriah needs to remove, we can follow these steps:\n\n1.  **Calculate the total weight of the comic books removed:**\n    Uriah removes 30 comic books, and each comic book weighs 1/4 pound.\n    Weight of comic books = $30 \\times \\frac{1}{4}$\n    Weight of comic books = $\\frac{30}{4} = 7.5$ pounds.\n\n2.  **Calculate the remaining weight that needs to be removed:**\n    Uriah needs to remove a total of 15 pounds. He has already removed 7.5 pounds from the comic books.\n    Remaining weight = $15 - 7.5$\n    Remaining weight = $7.5$ pounds.\n\n3.  **Calculate the number of toys to remove:**\n    The remaining weight must come from the toys. Each toy weighs 1/2 pound.\n    Number of toys = Remaining weight $\\div$ Weight per toy\n    Number of toys = $7.5 \\div \\frac{1}{2}$\n    To divide by a fraction, we multiply by its reciprocal:\n    Number of toys = $7.5 \\times 2$\n    Number of toys = $15$.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 278, "stop": "stop", "seconds": 3.1101126670837402}
{"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: Determine the difference between the two days.**\nThe revenue on Thursday was $520 and the revenue on Friday was $480. Thursday had the higher revenue.\n- Difference: $\\$520 - \\$480 = \\$40$\n\nThe mechanic earned $40 more on the day with higher revenue.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 318, "stop": "stop", "seconds": 3.7277183532714844}
{"idx": 54, "text": "To find the total number of kittens the Doubtfire family now has, we can follow these steps:\n\n1.  **Identify the number of adopted kittens:**\n    The sisters are currently driving home with 7 kittens adopted from the shelter.\n\n2.  **Calculate the number of kittens born to Patchy:**\n    The problem states that Patchy had thrice (3 times) the number of adopted kittens.\n    $7 \\times 3 = 21$ kittens.\n\n3.  **Identify the number of kittens born to Trixie:**\n    The problem states that Trixie had 12 kittens.\n\n4.  **Calculate the total number of kittens:**\n    Add the adopted kittens, Patchy's kittens, and Trixie's kittens together:\n    $7 \\text{ (adopted)} + 21 \\text{ (Patchy's)} + 12 \\text{ (Trixie's)} = 40$\n\nThe Doubtfire family now has a total of 40 kittens.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 227, "stop": "stop", "seconds": 2.588733434677124}
{"idx": 55, "text": "To solve the problem, follow these steps:\n\n1.  **Determine the initial number of lollipops:**\n    Jean starts with 30 lollipops.\n\n2.  **Subtract the lollipops Jean eats:**\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, divide the remaining lollipops by 2.\n    $28 \\div 2 = 14$\n\nJean can fill 14 bags.\n\n#### 14", "pred": "14", "gold": "14", "correct": true, "n_new": 148, "stop": "stop", "seconds": 1.7944424152374268}
{"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 movie trip:**\n    Peter buys a ticket for $7 and popcorn for $7.\n    Cost per trip = $7 (ticket) + $7 (popcorn) = $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 trip.\n    Number of trips = Total money / Cost per trip\n    Number of trips = $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": 188, "stop": "stop", "seconds": 2.1621346473693848}
{"idx": 57, "text": "To find the maximum number of boxes the truck can carry without exceeding the bridge's weight limit, we can follow these steps:\n\n1.  **Identify the total weight limit:**\n    The bridge can carry a maximum of 5000 pounds.\n\n2.  **Determine the available weight for the boxes:**\n    The weight of the driver and the empty truck is 3755 pounds. We subtract this from the total weight limit to find how much weight is left for the boxes:\n    $5000 - 3755 = 1245$ pounds.\n\n3.  **Determine the weight of one box:**\n    Each box weighs 15 pounds.\n\n4.  **Calculate the maximum number of boxes:**\n    To find the maximum number of boxes, divide the available weight by the weight of one box:\n    $1245 \\div 15$\n\n    Performing the division:\n    $1245 / 15 = 83$\n\n5.  **Verify the calculation:**\n    $83 \\times 15 = 1245$\n    $1245 + 3755 = 5000$\n    Since 5000 is exactly the weight limit, 83 boxes is the maximum number allowed.\n\n#### 83", "pred": "83", "gold": "83", "correct": true, "n_new": 292, "stop": "stop", "seconds": 3.272686243057251}
{"idx": 58, "text": "To find the final price of Stephen's groceries, we need to calculate the costs step by step based on the initial bill.\n\n1.  **Identify the initial bill:**\n    The base cost of the groceries is $40.00.\n\n2.  **Calculate the 25% fee:**\n    The vendor adds a 25% fee to the final total ($40.00).\n    $40.00 \\times 0.25 = 10.00$\n    The fee amount is $10.00.\n\n3.  **Add the delivery fee:**\n    The delivery fee is a flat $3.00.\n\n4.  **Add the tip:**\n    Stephen added a tip of $4.00.\n\n5.  **Calculate the total final price:**\n    We sum the initial bill, the percentage fee, the delivery fee, and the tip:\n    $40.00 (Initial Bill) + $10.00 (25% Fee) + $3.00 (Delivery Fee) + $4.00 (Tip) = $57.00\n\nStep-by-step calculation:\n- Base: $40.00\n- Fee: $40.00 * 0.25 = $10.00\n- Subtotal: $40.00 + $10.00 = $50.00\n- Delivery: $50.00 + $3.00 = $53.00\n- Tip: $53.00 + $4.00 = $57.00\n\n#### 57.00", "pred": "57", "gold": "57", "correct": true, "n_new": 372, "stop": "stop", "seconds": 4.332888126373291}
{"idx": 59, "text": "To find the total number of raspberries, we can break the problem down into two steps:\n\n1.  **Calculate the number of fruit in the clusters:**\n    There are 6 clusters, and each cluster contains 20 fruits.\n    $6 \\times 20 = 120$ fruits.\n\n2.  **Add the individual fruit scattered across the bush:**\n    There are 67 individual fruits in addition to the fruits in the clusters.\n    $120 + 67 = 187$ fruits.\n\nTotal number of raspberries = 187.\n\n#### 187", "pred": "187", "gold": "187", "correct": true, "n_new": 134, "stop": "stop", "seconds": 1.4897942543029785}
{"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: Identify the number of bad oranges.**\nBad oranges = 1\n\n**Step 3: Calculate the number of unripe oranges.**\nThe problem states that 20% of the oranges are unripe.\nUnripe oranges = 20% of 25\nUnripe oranges = $0.20 \\times 25$\nUnripe oranges = 5\n\n**Step 4: Identify the number of sour oranges.**\nSour oranges = 2\n\n**Step 5: Calculate the total number of \"not good\" oranges.**\nTotal not good = Bad + Unripe + Sour\nTotal not good = 1 + 5 + 2\nTotal not good = 8\n\n**Step 6: Calculate the number of good oranges.**\nGood oranges = Total oranges - Total not good\nGood oranges = 25 - 8\nGood oranges = 17\n\n#### 17", "pred": "17", "gold": "17", "correct": true, "n_new": 248, "stop": "stop", "seconds": 2.581921100616455}
{"idx": 61, "text": "To find the total amount Janet paid, we need to calculate the costs step by step:\n\n1.  **Calculate the cost of materials and construction:**\n    Janet paid $500 for the materials and $800 for the jeweler.\n    $500 + $800 = $1,300\n\n2.  **Calculate the insurance cost:**\n    The insurance cost is 10% of the total cost of materials and construction ($1,300).\n    10% of $1,300 = 0.10 \u00d7 $1,300 = $130\n\n3.  **Calculate the total amount paid:**\n    Add the insurance cost to the cost of materials and construction.\n    $1,300 + $130 = $1,430\n\n#### 1430", "pred": "1430", "gold": "1430", "correct": true, "n_new": 187, "stop": "stop", "seconds": 2.0142319202423096}
{"idx": 62, "text": "To find Marcy's annual pension if she quits after 30 years, we need to calculate the base pension value and then add the additional percentage earned for her years of service beyond 20 years.\n\n**Step 1: Identify the base pension.**\nThe problem states that if Marcy works for 40 years, her annual pension is $50,000. This implies a base rate of pension per year of service.\n$\\text{Pension per year of service} = \\frac{\\$50,000}{40 \\text{ years}} = \\$1,250 \\text{ per year of service.}$\n\n**Step 2: Calculate the base pension for 30 years.**\nSince she worked for 30 years, her base pension (before the extra percentage) is:\n$\\text{Base Pension} = 30 \\text{ years} \\times \\$1,250/\\text{year} = \\$37,500.$\n\n**Step 3: Calculate the additional percentage entitlement.**\nThe problem states that starting after 20 years, she becomes entitled to 5% of the value of the pension per year.\nMarcy worked for 30 years, so she has 10 years (30 - 20) that qualify for this additional 5% per year.\n$\\text{Additional Percentage} = 10 \\text{ years} \\times 5\\% = 50\\%.$\n\n**Step 4: Calculate the final pension amount.**\nThe additional 50% is applied to the value of the pension she would have received for her years of service. \n$\\text{Additional Amount} = 50\\% \\text{ of } \\$37,500 = 0.50 \\times \\$37,500 = \\$18,750.$\n\n**Step 5: Sum the base pension and the additional amount.**\n$\\text{Total Pension} = \\$37,500 + \\$18,750 = \\$56,250.$\n\n(Alternative interpretation: If the 5% is calculated on the total final pension value $P$: $P = 37,500 + 0.50P$. This would result in $0.50P = 37,500 \\Rightarrow P = 75,00", "pred": "7500", "gold": "25000", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.773745536804199}
{"idx": 63, "text": "To calculate the total amount Aleena paid for the streaming service by the end of the year, we can break the calculation down into two halves of the year.\n\n**Step 1: Calculate the cost for the first half of the year.**\nThe monthly charge is $140. There are 6 months in the first half of the year.\nCost for the first half = $140 \\times 6$\n$140 \\times 6 = 840$\n\n**Step 2: Calculate the discounted monthly charge for the second half of the year.**\nThe company offers a 10% discount on the initial amount ($140) for the second half of the year.\nDiscount amount = $140 \\times 0.10 = 14$\nNew monthly charge = $140 - 14 = 126$\n\n**Step 3: Calculate the cost for the second half of the year.**\nThere are 6 months in the second half of the year at the discounted rate of $126.\nCost for the second half = $126 \\times 6$\n$126 \\times 6 = 756$\n\n**Step 4: Calculate the total amount paid for the year.**\nTotal amount = Cost for the first half + Cost for the second half\nTotal amount = $840 + 756$\n$840 + 756 = 1596$\n\n#### 1596", "pred": "1596", "gold": "1596", "correct": true, "n_new": 328, "stop": "stop", "seconds": 3.537724256515503}
{"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    $$\\text{Fuel Efficiency} = \\frac{\\text{Miles Traveled}}{\\text{Gallons Used}}$$\n    $$\\text{Fuel Efficiency} = \\frac{100 \\text{ miles}}{4 \\text{ gallons}} = 25 \\text{ miles per gallon (mpg)}$$\n\n2.  **Calculate the total distance for a full tank:**\n    The owner's manual states that the car's tank holds 12 gallons. To find the total distance, multiply the fuel efficiency by the total tank capacity.\n    $$\\text{Total Distance} = \\text{Fuel Efficiency} \\times \\text{Tank Capacity}$$\n    $$\\text{Total Distance} = 25 \\text{ mpg} \\times 12 \\text{ gallons}$$\n\n3.  **Perform the multiplication:**\n    $$25 \\times 12 = 300$$\n\nSophia can drive 300 miles on a single tank of gas.\n\n#### 300", "pred": "300", "gold": "300", "correct": true, "n_new": 273, "stop": "stop", "seconds": 3.143158197402954}
{"idx": 65, "text": "To solve the problem, we will break it down into steps:\n\n**Step 1: Calculate the time spent reading in one session.**\nJim watches TV for 2 hours. He reads for half as long as he watches TV.\nReading time = 2 hours / 2 = 1 hour.\n\n**Step 2: Calculate the total time spent on TV and reading in one session.**\nTotal time per session = TV time + Reading time\nTotal time per session = 2 hours + 1 hour = 3 hours.\n\n**Step 3: Calculate the total time spent per week.**\nJim does this 3 times a week.\nWeekly time = 3 hours per session \u00d7 3 sessions = 9 hours.\n\n**Step 4: Calculate the total time spent in 4 weeks.**\nTotal time = 9 hours per week \u00d7 4 weeks = 36 hours.\n\n#### 36", "pred": "36", "gold": "36", "correct": true, "n_new": 194, "stop": "stop", "seconds": 2.3191447257995605}
{"idx": 66, "text": "To find the total number of people sent by all the schools, we can break the calculation down step by step:\n\n1.  **Identify the number of schools:**\n    There are 4 schools.\n\n2.  **Determine the number of people per school:**\n    Each school sends:\n    *   A girls\u2019 basketball team: 5 players\n    *   A boys\u2019 basketball team: 5 players\n    *   A coach for the girls\u2019 team: 1 coach\n    *   A coach for the boys\u2019 team: 1 coach\n\n    Total people per school = 5 (girls) + 5 (boys) + 1 (girls' coach) + 1 (boys' coach)\n    Total people per school = 12 people.\n\n3.  **Calculate the total number of people for all schools:**\n    Total people = (Number of schools) \u00d7 (People per school)\n    Total people = 4 schools \u00d7 12 people/school\n    Total people = 48.\n\n#### 48", "pred": "48", "gold": "48", "correct": true, "n_new": 224, "stop": "stop", "seconds": 2.632758617401123}
{"idx": 67, "text": "To find the total number of gems in the chest, we need to calculate the number of diamonds, rubies, and emeralds 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\n    Rubies = 140\n\n3.  **Find the number of emeralds:**\n    The problem states there are twice the number of emeralds than the rubies. (Note: \"Twice the number of emeralds than the rubies\" is phrased slightly ambiguously, but in standard word problems, it means the number of emeralds is twice the number of rubies).\n    Emeralds = Rubies \u00d7 2\n    Emeralds = 140 \u00d7 2\n    Emeralds = 280\n\n4.  **Find the total number of gems:**\n    Total gems = Diamonds + Rubies + Emeralds\n    Total gems = 175 + 140 + 280\n    Total gems = 315 + 280\n    Total gems = 595\n\n#### 595", "pred": "595", "gold": "595", "correct": true, "n_new": 300, "stop": "stop", "seconds": 3.1107914447784424}
{"idx": 68, "text": "To find the number of teachers at Dr. Wertz's school, 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. This means for every 5 students, there is 1 teacher.\n    Number of teachers = Total students \u00f7 5\n    Number of teachers = 180 \u00f7 5\n\n4.  **Perform the division:**\n    180 \u00f7 5 = 36\n\n#### 36", "pred": "36", "gold": "36", "correct": true, "n_new": 205, "stop": "stop", "seconds": 2.3197624683380127}
{"idx": 69, "text": "To find out how much money Bailey started with, we can follow these steps:\n\n1.  **Calculate the total allowance received:**\n    Bailey received $5 per week for 8 weeks.\n    $5 \\times 8 = 40$\n    So, Bailey received a total of $40 in allowance.\n\n2.  **Set up the equation:**\n    Let $x$ be the amount of money Bailey started with.\n    The equation representing the situation is:\n    $\\text{Starting Amount} + \\text{Total Allowance} = \\text{Final Amount}$\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": 202, "stop": "stop", "seconds": 2.369248867034912}
{"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 price per student.\n\n**Step 1: Calculate the number of classes taught on 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 days \u00d7 5 classes/day = 25 classes\n\n**Step 2: Calculate the total number of classes in a week.**\nShe also teaches 8 classes on Saturday.\nTotal classes = Weekday classes + Saturday classes\nTotal 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 \u00d7 Students per class\nTotal students = 33 classes \u00d7 15 students/class\n33 \u00d7 10 = 330\n33 \u00d7 5 = 165\n330 + 165 = 495 students\n\n**Step 4: Calculate the total money made.**\nShe charges $15.00 per student.\nTotal money = Total students \u00d7 Price per student\nTotal money = 495 students \u00d7 $15.00/student\n495 \u00d7 10 = 4950\n495 \u00d7 5 = 2475\n4950 + 2475 = 7425\n\nJudy makes $7,425 in one week.\n\n#### 7425", "pred": "7425", "gold": "7425", "correct": true, "n_new": 358, "stop": "stop", "seconds": 4.004780530929565}
{"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 second recipe has twice as many instructions as the first one.\n    Calculation: $20 \\times 2 = 40$ instructions.\n\n3.  **Calculate the total number of instructions for both dishes:**\n    To find the total, add the instructions from the first recipe and the second recipe together.\n    Calculation: $20 + 40 = 60$ instructions.\n\nKelian has to read a total of 60 instructions.\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 170, "stop": "stop", "seconds": 1.9078216552734375}
{"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, then add them together.\n\n**Step 1: Calculate the money from selling brownies.**\nTommy sold 43 brownies at $3 per slice.\n$43 \\times 3 = 129$\nSo, Tommy raised $129 from brownies.\n\n**Step 2: Calculate the money from selling cheesecakes.**\nTommy sold 23 slices of cheesecake at $4 per slice.\n$23 \\times 4 = 92$\nSo, Tommy raised $92 from cheesecakes.\n\n**Step 3: Calculate the total amount raised.**\nAdd the revenue 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": 201, "stop": "stop", "seconds": 2.1699655055999756}
{"idx": 73, "text": "To find the monthly installment amount Shiela will pay, we will follow these steps:\n\n**Step 1: Calculate the total cost of the five cell phones.**\nShiela bought 5 phones at $150 each.\n$5 \\times \\$150 = \\$750$\n\n**Step 2: Calculate the total interest charged.**\nA 2% interest is charged on each unit (or on the total amount).\nInterest = Total Cost $\\times$ Interest Rate\nInterest = $\\$750 \\times 0.02 = \\$15$\n\n**Step 3: Calculate the total amount to be paid.**\nTotal Amount = Total Cost + Total Interest\nTotal Amount = $\\$750 + \\$15 = \\$765$\n\n**Step 4: Calculate the monthly payment.**\nThe total amount is to be paid over a 3-month installment period.\nMonthly Payment = Total Amount $\\div$ 3\nMonthly Payment = $\\$765 \\div 3 = \\$255$\n\n#### 255", "pred": "255", "gold": "255", "correct": true, "n_new": 226, "stop": "stop", "seconds": 2.629326343536377}
{"idx": 74, "text": "To find out how much Artie will make, we need to follow these steps:\n\n**Step 1: Round the prices to the nearest dollar.**\nArtie is rounding all prices to the nearest dollar because he has no change.\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 for each type of flower.**\nNow, multiply the rounded prices by the quantity sold:\n*   **Marigolds:** 12 pots \u00d7 $3.00 = $36.00\n*   **Petunias:** 9 pots \u00d7 $2.00 = $18.00\n*   **Begonias:** 17 pots \u00d7 $2.00 = $34.00\n\n**Step 3: Calculate the total amount made.**\nAdd the totals for all three types of flowers:\n$36.00 + $18.00 + $34.00 = $88.00\n\n#### 88", "pred": "88", "gold": "88", "correct": true, "n_new": 338, "stop": "stop", "seconds": 3.840688943862915}
{"idx": 75, "text": "To find the average square footage of a level in Luke's 4-level sandcastle, we need to determine the square footage of each level and then calculate their mean.\n\n**Step 1: Identify the square footage of each level.**\nWe know there are 4 levels, and each level has half the square footage of the level below it. We are given that the top level (Level 1) has a square footage of 16.\n\nLet the levels be numbered from top to bottom:\n- Level 1 (Top): 16 sq ft\n- Level 2: Since Level 1 is half of Level 2, Level 2 = $16 \\times 2 = 32$ sq ft.\n- Level 3: Since Level 2 is half of Level 3, Level 3 = $32 \\times 2 = 64$ sq ft.\n- Level 4 (Bottom): Since Level 3 is half of Level 4, Level 4 = $64 \\times 2 = 128$ sq ft.\n\n*(Alternatively, working from the top down: If each level is half the one below it, then the level below is double the one above it. Level 1 = 16, Level 2 = 32, Level 3 = 64, Level 4 = 128.)*\n\n**Step 2: Calculate the total square footage of all levels.**\nTotal = Level 1 + Level 2 + Level 3 + Level 4\nTotal = $16 + 32 + 64 + 128$\nTotal = $48 + 64 + 128$\nTotal = $112 + 128$\nTotal = $240$ sq ft.\n\n**Step 3: Calculate the average square footage.**\nThe average is the total square footage divided by the number of levels (4).\nAverage = $240 / 4$\nAverage = $60$\n\n#### 60", "pred": "60", "gold": "60", "correct": true, "n_new": 440, "stop": "stop", "seconds": 5.274684906005859}
{"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 amount of food consumed in 365 days (one year) and then divide by the amount of food in one bag.\n\n**Step 1: Calculate the food consumed during the first 180 days.**\nThe puppy eats 1 cup per day for 180 days.\n$180 \\text{ days} \\times 1 \\text{ cup/day} = 180 \\text{ cups}$\n\n**Step 2: Calculate the number of remaining days in the first year.**\nA standard year has 365 days.\n$365 \\text{ days} - 180 \\text{ days} = 185 \\text{ days}$\n\n**Step 3: Calculate the food consumed during the remaining days.**\nFor the remaining 185 days, the puppy eats 2 cups per day.\n$185 \\text{ days} \\times 2 \\text{ cups/day} = 370 \\text{ cups}$\n\n**Step 4: Calculate the total amount of food consumed in the first year.**\nAdd the cups from both periods together.\n$180 \\text{ cups} + 370 \\text{ cups} = 550 \\text{ cups}$\n\n**Step 5: Calculate the number of bags needed.**\nOne bag contains 110 cups. 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": 365, "stop": "stop", "seconds": 3.867017984390259}
{"idx": 77, "text": "To find the difference in the amount of laundry Raymond and David do, we will calculate the amount each person does based on the information provided.\n\n**Step 1: Determine how much laundry Sarah does.**\nThe problem states that Sarah does 400 pounds of laundry.\nSarah = 400 lbs\n\n**Step 2: Determine how much laundry Raymond does.**\nThe problem states that Raymond does half as much laundry as Sarah.\nRaymond = Sarah / 2\nRaymond = 400 / 2\nRaymond = 200 lbs\n\n**Step 3: Determine how much laundry David does.**\nThe problem states that Sarah does 4 times as much laundry as David. This means David does 1/4 as much as Sarah.\nDavid = Sarah / 4\nDavid = 400 / 4\nDavid = 100 lbs\n\n**Step 4: Calculate the difference between Raymond and David.**\nWe subtract David's amount from Raymond's amount.\nDifference = Raymond - David\nDifference = 200 - 100\nDifference = 100 lbs\n\n#### 100", "pred": "100", "gold": "100", "correct": true, "n_new": 243, "stop": "stop", "seconds": 2.894083261489868}
{"idx": 78, "text": "To find out how much money 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 packages of 3.**\n- Price per package: $2.50\n- Number of flowers per package: 3\n- Total flowers needed: 18\n- Number of packages needed: $18 \\div 3 = 6$ packages\n- Total cost: $6 \\times \\$2.50 = \\$15.00$\n\n**Step 2: Calculate the cost using the packages of 2.**\n- Price per package: $1.00\n- Number of flowers per package: 2\n- Total flowers needed: 18\n- Number of packages needed: $18 \\div 2 = 9$ packages\n- Total cost: $9 \\times \\$1.00 = \\$9.00$\n\n**Step 3: Determine the better price and the savings.**\n- Cost 1 (Packages of 3): $15.00\n- Cost 2 (Packages of 2): $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": 308, "stop": "stop", "seconds": 3.5744051933288574}
{"idx": 79, "text": "To find the final cost of the grooming, follow these steps:\n\n1.  **Identify the original price:** The initial 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 price by the discount percentage:\n    $100 \\times 0.30 = \\$30$\n3.  **Subtract the discount from the original price:** To find the final cost, subtract the discount amount from the initial price:\n    $100 - 30 = \\$70$\n\nThe grooming costs $70.\n\n#### 70", "pred": "70", "gold": "70", "correct": true, "n_new": 146, "stop": "stop", "seconds": 1.6970040798187256}
{"idx": 80, "text": "To find out how many liters of water were left, we can follow these steps:\n\n1.  **Calculate the amount of water each girl received:**\n    The total amount of water is 24 liters. Each girl got $\\frac{1}{6}$ of this amount.\n    $24 \\times \\frac{1}{6} = 4$ liters.\n    Since there are two girls, the total amount they received is:\n    $4 \\times 2 = 8$ liters.\n\n2.  **Calculate the total amount of water taken by the girls and the boy:**\n    The girls took 8 liters, and the boy took 6 liters.\n    $8 + 6 = 14$ liters.\n\n3.  **Calculate the remaining amount of water:**\n    Subtract the total amount taken from the original amount.\n    $24 - 14 = 10$ liters.\n\n#### 10", "pred": "10", "gold": "10", "correct": true, "n_new": 203, "stop": "stop", "seconds": 2.1583709716796875}
{"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 started with 10 stickers.\n2.  **Bought stickers:** He bought 21 stickers.\n    $10 + 21 = 31$ stickers.\n3.  **Birthday stickers:** He received 23 stickers for his birthday.\n    $31 + 23 = 54$ stickers.\n4.  **Gave to sister:** He gave 9 stickers to his sister.\n    $54 - 9 = 45$ stickers.\n5.  **Used for card:** He used 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": 1.9057230949401855}
{"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, multiply Grace's weight by 4:\n    $125 \\times 4 = 500$\n    Next, subtract 2 from that result:\n    $500 - 2 = 498$\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": 2.0585930347442627}
{"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": 2.058551549911499}
{"idx": 84, "text": "To find the number of games the team won, we can follow these steps:\n\n1.  **Identify the variables:**\n    Let $L$ be the number of games lost.\n    Let $W$ be the number of games won.\n\n2.  **Set up the equations based on the problem:**\n    *   The total number of games played is 22:\n        $W + L = 22$\n    *   They won 8 more games than they lost:\n        $W = L + 8$\n\n3.  **Substitute the second equation into the first:**\n    Replace $W$ in the first equation with $(L + 8)$:\n    $(L + 8) + L = 22$\n\n4.  **Solve for $L$:**\n    Combine the $L$ terms:\n    $2L + 8 = 22$\n    Subtract 8 from both sides:\n    $2L = 14$\n    Divide by 2:\n    $L = 7$\n\n5.  **Solve for $W$:**\n    Use the equation $W = L + 8$:\n    $W = 7 + 8$\n    $W = 15$\n\n6.  **Verify the result:**\n    Total games: $15 (\\text{wins}) + 7 (\\text{losses}) = 22$.\n    Difference: $15 - 7 = 8$.\n    The conditions are met.\n\n#### 15", "pred": "15", "gold": "15", "correct": true, "n_new": 333, "stop": "stop", "seconds": 3.263371467590332}
{"idx": 85, "text": "To find the total number of quilt blocks Gene has, we need to determine the total number of years he has been vacationing and multiply that by the number of vacations he takes each year.\n\n1.  **Determine the number of years of vacations:**\n    Gene started vacationing when he was 23 years old and is now 34 years old.\n    Number of years = Current age - Starting age\n    Number of years = 34 - 23 = 11 years.\n\n2.  **Determine the number of vacations per year:**\n    The problem states he goes on four vacations a year.\n\n3.  **Calculate the total number of shirts (quilt blocks):**\n    Since he has one shirt for each vacation, we multiply the number of years by the number of vacations per year.\n    Total blocks = Number of years \u00d7 Vacations per year\n    Total blocks = 11 \u00d7 4 = 44.\n\n#### 44", "pred": "44", "gold": "44", "correct": true, "n_new": 207, "stop": "stop", "seconds": 2.438807249069214}
{"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 for the first time.**\nThe problem states that the first time the alarm went off, it rang four times.\nFirst time = 4 rings.\n\n**Step 2: Find the number of rings for the second time.**\nThe problem states that the second time, it rang for three times as long as the first time.\nSecond time = 4 rings \u00d7 3 = 12 rings.\n\n**Step 3: Find the number of rings for the third time.**\nThe problem states that the third time, it rang for half as long as the second time.\nThird time = 12 rings / 2 = 6 rings.\n\n**Step 4: Calculate the total number of rings.**\nTo find the total, we add the rings from all three instances together:\nTotal = 4 (first time) + 12 (second time) + 6 (third time)\nTotal = 16 + 6\nTotal = 22\n\n#### 22", "pred": "22", "gold": "22", "correct": true, "n_new": 249, "stop": "stop", "seconds": 2.8077681064605713}
{"idx": 87, "text": "To find Sylvie's annual salary after three more years of service, we will follow these steps:\n\n**1. Determine the initial monthly and annual salary:**\n*   Initial monthly salary = $600\n*   Initial annual salary = $600 \u00d7 12 months = $7,200\n\n**2. Determine the annual salary increase amount:**\nThe policy states the salary increases by 10% of the *initial* salary every year for those who have stayed for five years.\n*   Initial annual salary = $7,200\n*   Annual increase = 10% of $7,200 = 0.10 \u00d7 $7,200 = $720\n\n**3. Determine the timeline of the increases:**\nSylvie just clocked 5 years last December. This means she is now eligible for the annual increases. We need to calculate her salary after three *more* years of service (Years 6, 7, and 8).\n*   **Year 6:** She receives her first increase.\n    Salary = $7,200 + $720 = $7,920\n*   **Year 7:** She receives her second increase.\n    Salary = $7,920 + $720 = $8,640\n*   **Year 8:** She receives her third increase.\n    Salary = $8,640 + $720 = $9,360\n\nAlternatively, since the increase is a fixed amount based on the initial salary:\n*   Total increase over 3 years = 3 \u00d7 $720 = $2,160\n*   Final annual salary = $7,200 + $2,160 = $9,360\n\n#### 9360", "pred": "9360", "gold": "9360", "correct": true, "n_new": 396, "stop": "stop", "seconds": 4.559215545654297}
{"idx": 88, "text": "To solve this problem, we can use basic algebra.\n\n**Step 1: Define the variables.**\nLet $H$ be the number of copies sold by Harald.\nLet $M$ be the number of copies sold by Marilyn.\n\n**Step 2: Set up the equations based on the information provided.**\n1. Marilyn sold 10 times as many copies as Harald:\n   $M = 10H$\n2. They sold 88,000 copies combined:\n   $M + H = 88,000$\n\n**Step 3: Substitute the first equation into the second equation.**\nReplace $M$ with $10H$ in the total sum equation:\n$10H + H = 88,000$\n\n**Step 4: Simplify and solve for $H$.**\nCombine the like terms:\n$11H = 88,000$\n\nDivide both sides by 11:\n$H = \\frac{88,000}{11}$\n$H = 8,000$\n\n**Step 5: Verify the answer.**\nIf Harald sold 8,000 copies, then Marilyn sold $10 \\times 8,000 = 80,000$ copies.\nThe total combined copies would be $80,000 + 8,000 = 88,000$.\nThe numbers match the problem description.\n\n#### 8000", "pred": "8000", "gold": "8000", "correct": true, "n_new": 332, "stop": "stop", "seconds": 3.5835444927215576}
{"idx": 89, "text": "To find out how much Christina will spend, we can follow these steps:\n\n1.  **Identify the number of invited guests:**\n    Christina invited 16 friends.\n\n2.  **Determine the number of gift bags needed:**\n    The problem states she needs 0.75 gift bags per invited guest (this calculation already accounts for the fact that 1/4 of attendees don't show up).\n    Number of bags = $16 \\text{ guests} \\times 0.75 \\text{ bags/guest}$\n    $16 \\times 0.75 = 12$\n    Christina needs 12 gift bags.\n\n3.  **Calculate the total cost:**\n    Each gift bag costs $2.\n    Total cost = $12 \\text{ bags} \\times \\$2 \\text{ per bag}$\n    $12 \\times 2 = 24$\n\nChristina will spend $24.\n\n#### 24", "pred": "24", "gold": "24", "correct": true, "n_new": 212, "stop": "stop", "seconds": 2.4782493114471436}
{"idx": 90, "text": "To find out how many pounds of potato salad Ted needs, we can follow these steps:\n\n1.  **Calculate the amount an adult eats:**\n    An adult dinosaur eats 10 lbs of potato salad.\n\n2.  **Calculate 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 at the picnic.\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 at the picnic.\n    $5 \\text{ children} \\times 5 \\text{ lbs/child} = 25 \\text{ lbs}$.\n\n5.  **Calculate the total amount needed:**\n    Add the amount for the adults and the children 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": 278, "stop": "stop", "seconds": 2.7497780323028564}
{"idx": 91, "text": "To find the total number of pets owned by Jan, Marcia, and Cindy, we can solve the problem step by step:\n\n1.  **Find the number of pets Cindy has:**\n    The problem states that Cindy has 4 pets.\n    *Cindy = 4*\n\n2.  **Find the number of 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.  **Find the number of pets Jan has:**\n    The problem states that Jan has three times the number of pets as Marcia.\n    *Jan = 3 \u00d7 Marcia*\n    *Jan = 3 \u00d7 6 = 18*\n\n4.  **Calculate the total number of pets:**\n    To find the total, add the number of pets owned by all three people.\n    *Total = Jan + Marcia + Cindy*\n    *Total = 18 + 6 + 4*\n    *Total = 28*\n\n#### 28", "pred": "28", "gold": "28", "correct": true, "n_new": 237, "stop": "stop", "seconds": 2.7299046516418457}
{"idx": 92, "text": "To find out how old Jackson is, we can solve the problem step-by-step by determining the ages of each child based on the information provided.\n\n1.  **Identify the age of James:**\n    The problem states that James is 10 years old.\n    *   James = 10\n\n2.  **Determine 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.  **Determine 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.  **Determine 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": 247, "stop": "stop", "seconds": 2.686755657196045}
{"idx": 93, "text": "To find out how fast Gerald can run the 400-meter hurdles with his improved diet, we can follow these steps:\n\n1.  **Identify Lee's time:**\n    Lee runs the 400-meter hurdles in 38 seconds.\n\n2.  **Determine Gerald's original time:**\n    The problem states that Lee used to be 2 seconds faster than Gerald. This means Gerald's original time was 2 seconds slower than Lee's time.\n    $\\text{Gerald's original time} = 38 \\text{ seconds} + 2 \\text{ seconds} = 40 \\text{ seconds}$.\n\n3.  **Calculate the improvement in Gerald's speed:**\n    Gerald improved his speed by 10%. In the context of running times, an improvement in \"speed\" usually refers to a reduction in the time taken to complete the distance. However, mathematically, if speed ($v$) increases by 10%, the new speed is $1.10 \\times v$. Since time ($t$) is inversely proportional to speed ($t = \\frac{d}{v}$), the new time ($t_{new}$) is calculated as:\n    $t_{new} = \\frac{t_{old}}{1.10}$\n\n    *Note: In many word problems of this type, \"improved his speed by 10%\" can sometimes be interpreted as \"reduced his time by 10%\". Let's check both interpretations.*\n\n    **Interpretation A: Time is reduced by 10%**\n    $\\text{New time} = 40 \\text{ seconds} - (0.10 \\times 40 \\text{ seconds}) = 40 - 4 = 36 \\text{ seconds}$.\n\n    **Interpretation B: Speed is increased by 10%**\n    $\\text{New time} = \\frac{40 \\text{ seconds}}{1.10} \\approx 36.36 \\text{ seconds}$.\n\n    In standard competitive math problems, \"improved his speed by 10%\" is most commonly treated as a 10% reduction in the time taken (Interpretation A), as it yields a clean integer. Let's proceed with Interpretation A.\n\n4.  **Calculate the final time:**\n    Gerald's original time was 40 seconds.\n    A 1", "pred": "1", "gold": "36", "correct": false, "n_new": 512, "stop": "length", "seconds": 6.692332983016968}
{"idx": 94, "text": "To find the total number of pets in the neighborhood, we will solve the problem step by step:\n\n1.  **Find the number of dogs:**\n    The problem states there are 60 dogs.\n    Number of dogs = 60\n\n2.  **Find the number of cats:**\n    The problem states there are two cats for every dog.\n    Number of cats = 2 \u00d7 (Number of dogs)\n    Number of cats = 2 \u00d7 60 = 120\n\n3.  **Find the combined number of dogs and cats:**\n    Combined = Number of dogs + Number of cats\n    Combined = 60 + 120 = 180\n\n4.  **Find the number of rabbits:**\n    The problem states the number of rabbits is twelve less than the combined number of dogs and cats.\n    Number of rabbits = (Combined number of dogs and cats) - 12\n    Number of rabbits = 180 - 12 = 168\n\n5.  **Find the total number of pets:**\n    Total pets = Number of dogs + Number of cats + Number of rabbits\n    Total pets = 60 + 120 + 168\n    Total pets = 180 + 168 = 348\n\n#### 348", "pred": "348", "gold": "348", "correct": true, "n_new": 290, "stop": "stop", "seconds": 3.058530330657959}
{"idx": 95, "text": "To find the number of girls who are not in the Girl Scouts, we can follow these steps:\n\n1.  **Find the number of boys:**\n    The total number of students is 200.\n    Number of boys = $\\frac{2}{5} \\times 200$\n    $200 \\div 5 = 40$\n    $40 \\times 2 = 80$ boys.\n\n2.  **Find the total number of girls:**\n    Total students - Number of boys = Number of girls\n    $200 - 80 = 120$ girls.\n\n3.  **Find the number of girls in the Girl Scouts:**\n    $\\frac{2}{3}$ of the girls are in the Girl Scouts.\n    $\\frac{2}{3} \\times 120$\n    $120 \\div 3 = 40$\n    $40 \\times 2 = 80$ girls are in the Girl Scouts.\n\n4.  **Find the number of girls not in the Girl Scouts:**\n    Total girls - Girls in the Girl Scouts = Girls not in the Girl Scouts\n    $120 - 80 = 40$ girls.\n\nAlternatively, if $\\frac{2}{3}$ of the girls are in the Girl Scouts, then $\\frac{1}{3}$ of the girls are not.\n$\\frac{1}{3} \\times 120 = 40$.\n\n#### 40", "pred": "40", "gold": "40", "correct": true, "n_new": 331, "stop": "stop", "seconds": 3.4257867336273193}
{"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 the amount Harry slept.\n    $\\text{James's sleep} = 9 \\times \\frac{2}{3}$\n    $\\text{James's sleep} = \\frac{18}{3}$\n    $\\text{James's sleep} = 6$ hours.\n\n3.  **Calculate the difference between Harry's and James's sleep:**\n    To find how many more hours Harry slept, subtract James's sleep from Harry's sleep.\n    $\\text{Difference} = 9 - 6$\n    $\\text{Difference} = 3$ hours.\n\nHarry slept 3 more hours than James.\n\n#### 3", "pred": "3", "gold": "3", "correct": true, "n_new": 204, "stop": "stop", "seconds": 2.2670865058898926}
{"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 can of tomatoes is 16 ounces. Since the tomatoes lose half their volume when cooked into sauce, each can produces:\n    $16 \\text{ ounces} \\times 0.5 = 8 \\text{ ounces of sauce per can}$.\n\n2.  **Determine how many cans were used to make the final batch:**\n    Freda made 32 ounces of sauce. We divide the total amount of sauce by the amount produced per can:\n    $32 \\text{ ounces} \\div 8 \\text{ ounces per can} = 4 \\text{ cans}$.\n\n3.  **Determine the total number of tomatoes used:**\n    Each can contains 3 tomatoes. Since Freda used 4 cans, we multiply the number of cans by the number of tomatoes per can:\n    $4 \\text{ cans} \\times 3 \\text{ tomatoes per can} = 12 \\text{ tomatoes}$.\n\n#### 12", "pred": "12", "gold": "12", "correct": true, "n_new": 237, "stop": "stop", "seconds": 2.894031286239624}
{"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 actually drove through the jam:**\n    *   The original number of cars on the motorway was 30.\n    *   5 cars took an exit and did not drive through the jam.\n    *   Therefore, the total number of cars that drove through the jam is:\n        $30 - 5 = 25$ cars.\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    *   We know the total number of cars that drove through (25) is the sum of the cars that drove through in the first 15 minutes and the cars that drove through in the second 15 minutes.\n    *   Let $x$ be the number of cars that drove through in the first 15 minutes.\n    *   Equation: $x + 20 = 25$\n    *   Solve for $x$: $x = 25 - 20 = 5$\n\n#### 5", "pred": "5", "gold": "5", "correct": true, "n_new": 291, "stop": "stop", "seconds": 3.356900215148926}
{"idx": 99, "text": "To find out how many potted plants Mary will remain with, we can follow these steps:\n\n1.  **Calculate the initial number of plants Mary already has:**\n    Mary has 40 window ledges, and each ledge has 2 potted plants.\n    $40 \\text{ ledges} \\times 2 \\text{ plants/ledge} = 80 \\text{ plants}$.\n\n2.  **Add the new plants Mary received:**\n    She received 18 new plants yesterday.\n    $80 \\text{ plants} + 18 \\text{ plants} = 98 \\text{ plants}$.\n\n3.  **Calculate the number of plants she will give away:**\n    She plans to give 1 plant from each of her 40 window ledges to friends and family.\n    $40 \\text{ ledges} \\times 1 \\text{ plant/ledge} = 40 \\text{ plants}$.\n\n4.  **Calculate the final number of plants remaining:**\n    Subtract the plants she gives away from her total count.\n    $98 \\text{ plants} - 40 \\text{ plants} = 58 \\text{ plants}$.\n\n#### 58", "pred": "58", "gold": "58", "correct": true, "n_new": 265, "stop": "stop", "seconds": 3.0621650218963623}