data dict |
|---|
{
"error": null,
"ground_truth_answer": "72",
"index": 0,
"is_correct": true,
"model_cot": "Natalia sold 48 clips in April. In May, she sold half as many as in April, which is $ \\frac{48}{2} = 24 $ clips. To find the total number of clips sold in both months, add the two amounts:\n\n$$\n48 + 24 = 72\n$$\n\n*... |
{
"error": null,
"ground_truth_answer": "10",
"index": 1,
"is_correct": false,
"model_cot": "To determine how much Weng earned for babysitting, we start by analyzing the given information:\n\n- **Hourly rate**: $12 per hour \n- **Time worked**: 50 minutes \n\n---\n\n### Step 1: Convert Time to Hours\n\nSinc... |
{
"error": null,
"ground_truth_answer": "5",
"index": 2,
"is_correct": true,
"model_cot": "Betty needs $100 for the wallet. She currently has half of that amount:\n\n$$\n\\frac{1}{2} \\times 100 = 50 \\text{ dollars}\n$$\n\nHer parents give her $15, and her grandparents give twice as much as her parents:\n\n$... |
{
"error": null,
"ground_truth_answer": "42",
"index": 3,
"is_correct": true,
"model_cot": "Julie is reading a 120-page book. Here's the step-by-step breakdown:\n\n1. **Pages read yesterday**: \n Julie read **12 pages**.\n\n2. **Pages read today**: \n She read **twice as many pages as yesterday**, so: ... |
{
"error": null,
"ground_truth_answer": "624",
"index": 4,
"is_correct": true,
"model_cot": "To determine how many pages James writes in a year, we break the problem into logical steps:\n\n---\n\n### **Step 1: Pages per Letter**\nJames writes a **3-page letter** to each friend.\n\n---\n\n### **Step 2: Number ... |
{
"error": null,
"ground_truth_answer": "35",
"index": 5,
"is_correct": true,
"model_cot": "To determine the total number of flowers in Mark's garden, we analyze the information step by step:\n\n---\n\n### **Step 1: Yellow Flowers**\nThe problem states:\n> \"Ten of them are yellow.\"\n\nSo, \n$$\n\\text{Yell... |
{
"error": null,
"ground_truth_answer": "48",
"index": 6,
"is_correct": true,
"model_cot": "To determine how many pizza slices Albert eats in one day, we begin by analyzing the number of slices from each type of pizza he consumes.\n\n---\n\n### Step 1: Calculate Slices from Large Pizzas\n\nAlbert buys **2 lar... |
{
"error": null,
"ground_truth_answer": "16",
"index": 7,
"is_correct": true,
"model_cot": "To determine the final weight of the box of goodies, we analyze each step in the sequence as described:\n\n---\n\n### **Step 1: Initial Weight with Jelly Beans**\n\nKen places a box on a scale and adds enough jelly bea... |
{
"error": null,
"ground_truth_answer": "41",
"index": 8,
"is_correct": true,
"model_cot": "Alexis had a budget of $200 and has $16 left after her purchases. This means she spent:\n\n$$\n200 - 16 = 184 \\text{ dollars}\n$$\n\nNext, we calculate the total amount spent on the known items:\n\n- Button-up shirt: ... |
{
"error": null,
"ground_truth_answer": "990",
"index": 9,
"is_correct": true,
"model_cot": "Tina earns $18.00 per hour for regular time and overtime is calculated as 1.5 times her hourly wage (since it's \"hourly wage + 1/2 hourly wage\"). Here's the step-by-step breakdown:\n\n---\n\n### **Step 1: Determine ... |
{
"error": null,
"ground_truth_answer": "121",
"index": 10,
"is_correct": true,
"model_cot": "To solve the problem, we begin by analyzing the timeline and the pattern of ship sizes.\n\n---\n\n### **Understanding the Timeline**\n\nThe monster rises **once every hundred years**, and over **three hundred years**... |
{
"error": null,
"ground_truth_answer": "5",
"index": 11,
"is_correct": true,
"model_cot": "To determine how many driveways Tobias shoveled, we begin by analyzing the total amount of money he had before purchasing the shoes.\n\n---\n\n### **Step 1: Determine Total Money Saved**\n\nTobias bought a pair of shoe... |
{
"error": null,
"ground_truth_answer": "85",
"index": 12,
"is_correct": true,
"model_cot": "Randy has 60 mango trees. To find the number of coconut trees, we calculate **half of 60** (which is $ \\frac{60}{2} = 30 $) and then subtract 5: \n$$\n30 - 5 = 25\n$$ \nSo, Randy has **25 coconut trees**.\n\nTo fin... |
{
"error": null,
"ground_truth_answer": "35",
"index": 13,
"is_correct": true,
"model_cot": "To determine how much Jasper spends on the ingredients for his charcuterie, we analyze each item based on the given information:\n\n---\n\n### **1. Cheddar Cheese**\n- He buys **2 pounds** of cheddar cheese for **$10*... |
{
"error": null,
"ground_truth_answer": "5",
"index": 14,
"is_correct": false,
"model_cot": "To determine how long it will take Joy to read 120 pages, we start by analyzing her reading rate.\n\n---\n\n### Step 1: Determine the time per page\n\nJoy reads **8 pages in 20 minutes**. \nSo, the time it takes her ... |
{
"error": null,
"ground_truth_answer": "448000",
"index": 15,
"is_correct": false,
"model_cot": "To determine James's **profit** over 20 weeks, we need to calculate both the **total revenue** and the **total costs**, then subtract the latter from the former.\n\n---\n\n### **Step 1: Determine Selling Price pe... |
{
"error": null,
"ground_truth_answer": "800",
"index": 16,
"is_correct": false,
"model_cot": "To solve the problem, we begin by analyzing the given ratio and the known value of Johnson's share.\n\n---\n\n### **Step 1: Understand the Ratio**\n\nThe profit is shared between Mike and Johnson in the ratio **2:5*... |
{
"error": null,
"ground_truth_answer": "43",
"index": 17,
"is_correct": true,
"model_cot": "To determine the total number of hard hats remaining in the truck, we begin by analyzing the initial quantities and then account for the removals made by Carl and John.\n\n---\n\n### **Step 1: Initial Counts**\n\n- **... |
{
"error": null,
"ground_truth_answer": "16",
"index": 18,
"is_correct": true,
"model_cot": "To determine the total number of hours Roque spends commuting to and from work in a week, we analyze both his walking and biking routines separately.\n\n---\n\n### **Walking Commute**\n\n- **Time for one-way walk:** 2... |
{
"error": null,
"ground_truth_answer": "16",
"index": 19,
"is_correct": true,
"model_cot": "To determine how much time Tim spends biking in a week, we analyze the problem step by step.\n\n---\n\n### **Step 1: Calculate Daily Work Commute Distance**\n\nTim bikes **back and forth** to work each day. Since his ... |
{
"error": null,
"ground_truth_answer": "38",
"index": 20,
"is_correct": true,
"model_cot": "Bella bought three types of stamps: snowflake, truck, and rose. Let's calculate the number of each type step by step.\n\n1. **Snowflake stamps**: \n Bella bought 11 snowflake stamps. \n $ \\text{Snowflake} = 11 ... |
{
"error": null,
"ground_truth_answer": "1080",
"index": 21,
"is_correct": true,
"model_cot": "To determine how many beetles are eaten each day, we need to follow the food chain from jaguars down to beetles. The key is to calculate the total number of beetles consumed by birds, which in turn are consumed by s... |
{
"error": null,
"ground_truth_answer": "7",
"index": 22,
"is_correct": true,
"model_cot": "To determine the number of letters in **Samantha’s last name**, we analyze the problem step by step using the given information.\n\n---\n\n### Step 1: Determine Jamie's Last Name Length\n\nWe are told:\n\n> \"Jamie’s f... |
{
"error": null,
"ground_truth_answer": "5",
"index": 23,
"is_correct": true,
"model_cot": "To determine the cost of each top, we begin by analyzing the total amount Ann spent and breaking it down into the known costs for shorts and shoes.\n\n---\n\n### Step 1: Calculate the cost of the shorts \nAnn bought *... |
{
"error": null,
"ground_truth_answer": "62",
"index": 24,
"is_correct": true,
"model_cot": "Mary spent the full credit limit of $100. She made two payments: $15 on Tuesday and $23 on Thursday. \n\n**Step 1:** Calculate total payments made: \n$15 + $23 = **$38**\n\n**Step 2:** Subtract total payments from th... |
{
"error": null,
"ground_truth_answer": "110",
"index": 25,
"is_correct": true,
"model_cot": "To determine how many tennis balls Ralph did **not** hit, we begin by analyzing the total number of balls and how many he successfully hit.\n\n---\n\n### Step 1: Total Number of Balls\nRalph starts with **175** tenni... |
{
"error": null,
"ground_truth_answer": "400",
"index": 26,
"is_correct": true,
"model_cot": "To determine how many milliliters of salt Jack will get when all the water evaporates, we begin by analyzing the given information:\n\n- Jack collects **2 liters** of seawater.\n- The seawater is **20% salt** by volu... |
{
"error": null,
"ground_truth_answer": "400",
"index": 27,
"is_correct": true,
"model_cot": "To determine how many valuable files Brennan was left with, we analyze the situation in two distinct phases: the initial download and the second round of downloads.\n\n---\n\n### **Phase 1: Initial Download and Delet... |
{
"error": null,
"ground_truth_answer": "8",
"index": 28,
"is_correct": true,
"model_cot": "To determine how many gnomes the fifth house has, we begin by analyzing the information provided:\n\n- There are **5 houses** on the street.\n- The **first four houses** each have **3 gnomes**.\n- The **total number of... |
{
"error": null,
"ground_truth_answer": "1000",
"index": 29,
"is_correct": true,
"model_cot": "To determine Mrs. Snyder's previous monthly income, we begin by defining her **previous monthly income** as $ x $.\n\n---\n\n### Step 1: Express the Rent and Utilities Cost\n\n- Before the raise, she spent **40%** o... |
{
"error": null,
"ground_truth_answer": "6",
"index": 30,
"is_correct": true,
"model_cot": "To solve the problem, we begin by analyzing the total number of pizza pieces and how much each person eats.\n\n---\n\n### **Step 1: Total Number of Pizza Pieces**\n\nEach person buys one personal pan pizza, and each pi... |
{
"error": null,
"ground_truth_answer": "1200",
"index": 31,
"is_correct": true,
"model_cot": "To determine Noah's sales for this month, we begin by calculating his total sales from last month.\n\n---\n\n### **Step 1: Calculate Last Month's Sales**\n\nNoah sells:\n- **Large paintings** at $60 each\n- **Small ... |
{
"error": null,
"ground_truth_answer": "10",
"index": 32,
"is_correct": false,
"model_cot": "To determine how far the car traveled after the 3rd turn, we analyze the total distance it covered while navigating through the ring with four right-hand turns.\n\n---\n\n### Step 1: Understand the Structure of the P... |
{
"error": null,
"ground_truth_answer": "34",
"index": 33,
"is_correct": true,
"model_cot": "To determine the **combined total number of cups of water, flour, and teaspoons of salt** that Kimber needs to make the pizza, we analyze each ingredient step by step.\n\n---\n\n### Step 1: Water\nKimber needs **10 cu... |
{
"error": null,
"ground_truth_answer": "5250",
"index": 34,
"is_correct": true,
"model_cot": "To determine the total amount of money Mr. Sam shared between his two sons, Ken and Tony, we begin by analyzing the given information:\n\n- **Ken received $1750.**\n- **Tony received twice as much as Ken.**\n\n---\n... |
{
"error": null,
"ground_truth_answer": "36",
"index": 35,
"is_correct": true,
"model_cot": "To determine how many of Mr. Sanchez's Grade 5 students received a final grade of **B and above**, we begin by analyzing the given information:\n\n- Total number of students: **60**\n- Percentage of students who got a... |
{
"error": null,
"ground_truth_answer": "15",
"index": 36,
"is_correct": true,
"model_cot": "To determine how much more money Lisa earned than Tommy, we begin by analyzing the total earnings and the given proportions.\n\n---\n\n### Step 1: Total Earnings\nThe total amount earned by Lisa, Jack, and Tommy is:\n... |
{
"error": null,
"ground_truth_answer": "5",
"index": 37,
"is_correct": true,
"model_cot": "To determine how much each of the five friends will pay, we need to calculate the **total cost** of all items ordered and then divide that total by 5.\n\n---\n\n### Step 1: Calculate the cost of each item\n\n- **Hambur... |
{
"error": null,
"ground_truth_answer": "9",
"index": 38,
"is_correct": true,
"model_cot": "To determine how many ounces of tea Artemis needs for the party, we begin by analyzing the given ratio and then apply it to the total volume of tea required.\n\n---\n\n### **Step 1: Understand the Ratio**\n\nArtemis's ... |
{
"error": null,
"ground_truth_answer": "15",
"index": 39,
"is_correct": true,
"model_cot": "To determine how many more pieces of candy Anna gets compared to Billy, we follow a step-by-step approach:\n\n---\n\n### **Step 1: Calculate Anna's Total Candy**\n\nAnna receives **14 pieces of candy per house** and v... |
{
"error": null,
"ground_truth_answer": "476",
"index": 40,
"is_correct": true,
"model_cot": "To determine how much Mr. Benson paid for the concert tickets, we analyze the pricing structure and apply the discount accordingly.\n\n---\n\n### **Step 1: Understand the Pricing and Discount**\n\n- **Regular price p... |
{
"error": null,
"ground_truth_answer": "500",
"index": 41,
"is_correct": true,
"model_cot": "To determine how much Rachel should budget, we begin by calculating the total amount Sara spent on her shoes and dress.\n\n---\n\n### Step 1: Calculate Sara's Total Spending\n\nSara bought:\n- A pair of shoes for **$... |
{
"error": null,
"ground_truth_answer": "99",
"index": 42,
"is_correct": true,
"model_cot": "To determine how many bananas each monkey gets, we begin by calculating the total number of bananas collected by the family of 12 monkeys.\n\n---\n\n### **Step 1: Calculate Bananas from the First 6 Piles**\n\nEach of ... |
{
"error": null,
"ground_truth_answer": "60",
"index": 43,
"is_correct": true,
"model_cot": "To solve the problem, we analyze the sequence of collapsing buildings caused by a series of earthquakes. The key information is:\n\n- **First earthquake**: 4 buildings collapse.\n- **Each subsequent earthquake** cause... |
{
"error": null,
"ground_truth_answer": "300",
"index": 44,
"is_correct": true,
"model_cot": "James has a total budget of $1000 per semester. To determine how much he spends on coursework materials, we first calculate the percentage of his budget allocated to other categories:\n\n- **Food**: 30% \n- **Accomm... |
{
"error": null,
"ground_truth_answer": "99",
"index": 45,
"is_correct": true,
"model_cot": "To determine the total cost of the unicorn piñata and all the treats, we break down the costs step by step:\n\n---\n\n### **1. Cost of the Unicorn Piñata**\n- The piñata itself costs: \n **$13**\n\n---\n\n### **2. C... |
{
"error": null,
"ground_truth_answer": "1920",
"index": 46,
"is_correct": true,
"model_cot": "Carolyn practices the piano for **20 minutes per day** and the violin for **three times as long**, which is:\n\n$$\n3 \\times 20 = 60 \\text{ minutes per day}\n$$\n\nHer total daily practice time is:\n\n$$\n20 + 60 ... |
{
"error": null,
"ground_truth_answer": "15",
"index": 47,
"is_correct": true,
"model_cot": "To determine the total time required to download a 90-megabyte file, we analyze the download process in two distinct phases based on the given rates:\n\n---\n\n### **Phase 1: First 60 Megabytes at 5 MB/s**\n\n- **Size... |
{
"error": null,
"ground_truth_answer": "10",
"index": 48,
"is_correct": true,
"model_cot": "To determine how many digits Sam memorized, we begin by analyzing the relationships between the number of digits each person memorized.\n\n---\n\n### Step 1: Define Variables\n\nLet:\n- $ C $ = number of digits Carlos... |
{
"error": null,
"ground_truth_answer": "48",
"index": 49,
"is_correct": true,
"model_cot": "To determine how many shells Alan collected, we analyze the relationships between the number of shells collected by Laurie, Ben, and Alan.\n\n---\n\n### Step 1: Determine how many shells Ben collected\n\nWe are told t... |
{
"error": null,
"ground_truth_answer": "5",
"index": 50,
"is_correct": true,
"model_cot": "Gerald needs to save a total of $400 for his baseball supplies, calculated as $100 per month × 4 months = **$400**. \n\nHe has **8 months** available to save (12 months in a year − 4 months of the season). To determine... |
{
"error": null,
"ground_truth_answer": "160",
"index": 51,
"is_correct": true,
"model_cot": "To determine how much fabric is left after Ann cuts the two rectangles, we follow a step-by-step process based on calculating areas and subtracting the used fabric from the total.\n\n---\n\n### **Step 1: Calculate th... |
{
"error": null,
"ground_truth_answer": "5",
"index": 52,
"is_correct": true,
"model_cot": "To determine how many pencils are in each box, we begin by analyzing the information provided:\n\n---\n\n### Step 1: Define the unknown\nLet $ x $ represent the number of pencils in **each** box.\n\nSince Arnel has **1... |
{
"error": null,
"ground_truth_answer": "36",
"index": 53,
"is_correct": true,
"model_cot": "To determine how much more Caleb spent on ice cream than on frozen yoghurt, we follow these steps:\n\n---\n\n### **Step 1: Calculate the total cost of ice cream**\n\nCaleb bought **10 cartons** of ice cream, and each ... |
{
"error": null,
"ground_truth_answer": "11",
"index": 54,
"is_correct": true,
"model_cot": "Leah earned $28. Let's break down the problem step by step:\n\n1. **Milkshake Expense**: \n She spent a seventh of her earnings on a milkshake: \n $$\n \\frac{1}{7} \\times 28 = 4\n $$ \n Remaining after ... |
{
"error": null,
"ground_truth_answer": "75",
"index": 55,
"is_correct": true,
"model_cot": "To determine the percentage of flowers that are **not roses**, we follow a clear, step-by-step process:\n\n---\n\n### **Step 1: Calculate the Total Number of Flowers**\n\nWe are given:\n- Roses = 25\n- Tulips = 40\n- ... |
{
"error": null,
"ground_truth_answer": "45",
"index": 56,
"is_correct": true,
"model_cot": "Leo's assignment was divided into three parts. To determine how long he spent on the third part, we follow these steps:\n\n1. **Convert total time to minutes**: \n The total time for the assignment is 2 hours. Sinc... |
{
"error": null,
"ground_truth_answer": "2",
"index": 57,
"is_correct": true,
"model_cot": "Liza started with **10 kilograms** of butter. Let's break down the usage step by step:\n\n---\n\n### **Step 1: Chocolate Chip Cookies**\nShe used **one-half** of the original 10 kg for chocolate chip cookies:\n$$\n\\fr... |
{
"error": null,
"ground_truth_answer": "320",
"index": 58,
"is_correct": true,
"model_cot": "To determine the **total daily allowance** for 60 middle school students, we analyze the given data step by step.\n\n---\n\n### **Step 1: Determine the number of students in each group**\n\n- Total number of students... |
{
"error": null,
"ground_truth_answer": "120",
"index": 59,
"is_correct": false,
"model_cot": "To determine how many coins Joanne has after the fourth hour, we analyze her coin collection and distribution step by step.\n\n---\n\n### **Hour 1:**\n- Joanne collects **15 coins**.\n- **Total after Hour 1:** \n ... |
{
"error": null,
"ground_truth_answer": "96",
"index": 60,
"is_correct": true,
"model_cot": "To determine how many hours Jerry will spend at the field watching his daughters play and practice, we need to consider both the **game time** and **practice time** for each daughter.\n\n---\n\n### Step 1: Understand ... |
{
"error": null,
"ground_truth_answer": "200",
"index": 61,
"is_correct": true,
"model_cot": "To determine how many pounds the bear gained from eating **small woodland animals**, we analyze the problem step by step, using the information provided.\n\n---\n\n### **Step 1: Total Weight Needed**\nThe bear needs ... |
{
"error": null,
"ground_truth_answer": "15",
"index": 62,
"is_correct": true,
"model_cot": "To determine how much oil each of the remaining cans is holding, we proceed step by step:\n\n---\n\n### **Step 1: Total Number of Cans and Oil**\n- There are **24 cans** in total.\n- The **total amount of oil** is **2... |
{
"error": null,
"ground_truth_answer": "59",
"index": 63,
"is_correct": true,
"model_cot": "To determine how many situps Shawna needs to do on Wednesday, we analyze her daily goal and the deficits from previous days.\n\n---\n\n### Step 1: Understand the Goal\nShawna's **daily workout goal** is **30 situps**.... |
{
"error": null,
"ground_truth_answer": "840",
"index": 64,
"is_correct": true,
"model_cot": "To determine how much James earns per week, we need to calculate his earnings from both jobs and sum them up.\n\n---\n\n### **Step 1: Earnings from the Main Job**\n\n- **Hourly wage**: $20 \n- **Hours worked**: 30 ... |
{
"error": null,
"ground_truth_answer": "558",
"index": 65,
"is_correct": true,
"model_cot": "To determine how much Lee earned mowing lawns last week, we break the problem into two parts: **earnings from mowing** and **tips received**.\n\n---\n\n### Step 1: Calculate Earnings from Mowing Lawns\n\nLee charges ... |
{
"error": null,
"ground_truth_answer": "520",
"index": 66,
"is_correct": true,
"model_cot": "To determine Tara's balance after 4 months of installment payments, we follow a structured approach based on the information provided.\n\n---\n\n### **Step 1: Calculate the Required Down Payment**\n\nThe laptop costs... |
{
"error": null,
"ground_truth_answer": "6",
"index": 67,
"is_correct": true,
"model_cot": "To solve the problem, we need to determine the **average of their average** that Jesse and Mia must run over the **final three days** of the race. Let's break this down step by step.\n\n---\n\n### **Step 1: Total Dista... |
{
"error": null,
"ground_truth_answer": "90",
"index": 68,
"is_correct": true,
"model_cot": "To solve the problem, we begin by analyzing the given ratio and total number of coins.\n\n---\n\n### Step 1: Understand the Ratio\n\nThe ratio of Elsa's coins to Amalie's coins is **10:45**. This can be simplified by ... |
{
"error": null,
"ground_truth_answer": "49",
"index": 69,
"is_correct": true,
"model_cot": "To determine the total number of arms from the animals Carly collected, we break the problem into two parts: the starfish and the seastar.\n\n---\n\n### Step 1: Calculate the total number of arms from the starfish\n\n... |
{
"error": null,
"ground_truth_answer": "19",
"index": 70,
"is_correct": true,
"model_cot": "To determine how many apples Harry has, we proceed step by step using the information provided:\n\n---\n\n### Step 1: Determine how many apples Tim has\n\nWe are told that **Tim has 30 less apples than Martha**, and *... |
{
"error": null,
"ground_truth_answer": "25",
"index": 71,
"is_correct": true,
"model_cot": "To determine how many dollars Hillary is left with after making the deposit, we follow these steps:\n\n---\n\n### **Step 1: Calculate Earnings from Craft Sales**\n\nHillary sells each craft for $12 and sells 3 crafts ... |
{
"error": null,
"ground_truth_answer": "54",
"index": 72,
"is_correct": true,
"model_cot": "To determine how many cubic feet of water are in the aquarium after all the events, we proceed step by step using the given dimensions and the sequence of actions.\n\n---\n\n### **Step 1: Calculate the Total Volume of... |
{
"error": null,
"ground_truth_answer": "3",
"index": 73,
"is_correct": true,
"model_cot": "To determine how many packs of trail mix Roger needs to buy, we begin by calculating the total number of people who will receive a pouch.\n\n---\n\n### Step 1: Calculate Total Number of People\n\nRoger is providing sna... |
{
"error": null,
"ground_truth_answer": "28",
"index": 74,
"is_correct": true,
"model_cot": "To determine how many kilograms each of the last two people lost, we begin by analyzing the information provided:\n\n---\n\n### **Step 1: Total Weight Lost**\nThe total weight lost by all four people is:\n$$\n103 \\te... |
{
"error": null,
"ground_truth_answer": "15",
"index": 75,
"is_correct": true,
"model_cot": "To determine the total cost of Dale and Andrew's breakfast, we begin by analyzing the individual costs based on the given prices:\n\n- **Toast**: £1 per slice \n- **Eggs**: £3 each \n\n---\n\n### Step 1: Calculate D... |
{
"error": null,
"ground_truth_answer": "768",
"index": 76,
"is_correct": true,
"model_cot": "To determine the total number of vegetables produced by the garden, we analyze the given information step by step.\n\n---\n\n### Step 1: Identify the number of each type of vegetable\n\n- **Potatoes**: The problem st... |
{
"error": null,
"ground_truth_answer": "85",
"index": 77,
"is_correct": true,
"model_cot": "The boxer starts at 97 kg and loses 3 kg per month for 4 months. \n\n**Step 1:** Calculate total weight loss over 4 months: \n$$\n3 \\, \\text{kg/month} \\times 4 \\, \\text{months} = 12 \\, \\text{kg}\n$$\n\n**Step ... |
{
"error": null,
"ground_truth_answer": "4",
"index": 78,
"is_correct": true,
"model_cot": "To solve the problem, we begin by determining the total number of cookie slices available.\n\n---\n\n### Step 1: Calculate Total Slices\n\nManny has **3** birthday cookie pies, and each pie is cut into **10** slices. ... |
{
"error": null,
"ground_truth_answer": "70",
"index": 79,
"is_correct": true,
"model_cot": "James has 40 years of teaching experience. His partner has 10 years less, so:\n\n$$\n\\text{Partner's experience} = 40 - 10 = 30 \\text{ years}\n$$\n\nTo find their combined experience, add both durations:\n\n$$\n\\te... |
{
"error": null,
"ground_truth_answer": "100",
"index": 80,
"is_correct": true,
"model_cot": "To determine how many cans of milk Jennifer brought home, we need to analyze the situation step by step.\n\n---\n\n### **Step 1: Understand the Initial Purchase**\n\nJennifer initially purchased **40 cans** of milk b... |
{
"error": null,
"ground_truth_answer": "14",
"index": 81,
"is_correct": true,
"model_cot": "To determine the **average number of skips per round completed by Jeff**, we analyze each of the four rounds based on the given conditions and Sam's consistent performance of **16 skips per round**.\n\n---\n\n### Step... |
{
"error": null,
"ground_truth_answer": "700",
"index": 82,
"is_correct": true,
"model_cot": "To calculate Irene's total income for the week, we follow these steps:\n\n---\n\n### **Step 1: Determine Regular Hours and Overtime Hours**\n\n- Irene works **50 hours** in total.\n- The standard workweek is **40 hou... |
{
"error": null,
"ground_truth_answer": "54",
"index": 83,
"is_correct": true,
"model_cot": "To solve the problem, we begin by analyzing the number of hats each person has and then determine how many hats they share equally.\n\n---\n\n### **Step 1: Determine Zola's Hats**\n\n- **Paityn's red hats:** 20 \n Z... |
{
"error": null,
"ground_truth_answer": "90",
"index": 84,
"is_correct": true,
"model_cot": "To determine how many different rooms Hans could be checked into, we begin by analyzing the structure of the hotel and the constraints given.\n\n---\n\n### Step 1: Total Number of Rooms in the Hotel\n\nThe hotel has:\... |
{
"error": null,
"ground_truth_answer": "5",
"index": 85,
"is_correct": true,
"model_cot": "To determine how much older Jolyn is than Leon in months, we analyze the given relationships step by step.\n\n---\n\n### Step 1: Assign Variables\n\nLet’s define the age of **Aivo** as $ A $ months.\n\nFrom the problem... |
{
"error": null,
"ground_truth_answer": "6",
"index": 86,
"is_correct": true,
"model_cot": "To determine how many ounces of soda Peter bought, we follow a logical sequence of steps based on the information provided.\n\n---\n\n### **Step 1: Determine the amount spent**\n\nPeter brought **$2.00** with him and l... |
{
"error": null,
"ground_truth_answer": "600",
"index": 87,
"is_correct": true,
"model_cot": "To determine how much more John's cow is worth after gaining weight, we follow a step-by-step approach:\n\n---\n\n### **Step 1: Determine the new weight of the cow**\n\nThe cow initially weighs **400 pounds** and inc... |
{
"error": null,
"ground_truth_answer": "258",
"index": 88,
"is_correct": true,
"model_cot": "To determine how many geckos Brandon sold in the last two years, we analyze the information provided:\n\n---\n\n### Step 1: Understand the timeline\n- **Last year** (most recent year): Brandon sold **86 geckos**.\n- ... |
{
"error": null,
"ground_truth_answer": "216",
"index": 89,
"is_correct": true,
"model_cot": "To determine how many books Krystian borrows in a week, we analyze the given information step by step.\n\n---\n\n### **Step 1: Understand the Weekly Schedule**\n\nThe library is open from **Monday to Friday**, which ... |
{
"error": null,
"ground_truth_answer": "90",
"index": 90,
"is_correct": true,
"model_cot": "Herman feeds the birds in December, January, and February. To determine the total amount of food needed:\n\n1. **Determine the number of days in each month**:\n - December: 31 days\n - January: 31 days\n - Febru... |
{
"error": null,
"ground_truth_answer": "10",
"index": 91,
"is_correct": true,
"model_cot": "To determine how much John makes per hour when he decides to earn the bonus, we need to calculate his **hourly wage** based on the **total earnings** and **total hours worked** under the bonus scenario.\n\n---\n\n### ... |
{
"error": null,
"ground_truth_answer": "1825",
"index": 92,
"is_correct": false,
"model_cot": "To determine how much Sally and Bob will have saved for their trip after a year, we follow a structured approach:\n\n---\n\n### **Step 1: Determine Daily Earnings and Savings**\n\n- **Sally** earns **$6 per day**, ... |
{
"error": null,
"ground_truth_answer": "14000",
"index": 93,
"is_correct": true,
"model_cot": "To determine the total cost of John's food order, we break the problem into two parts: the cost of beef and the cost of chicken.\n\n---\n\n### **Step 1: Calculate the cost of beef**\n\nJohn orders **1000 pounds** o... |
{
"error": null,
"ground_truth_answer": "60",
"index": 94,
"is_correct": true,
"model_cot": "To determine how long it will take John to write 3 books, each consisting of 400 pages, we proceed step by step:\n\n---\n\n### **Step 1: Calculate the total number of pages**\n\nEach book has **400 pages**, and there ... |
{
"error": null,
"ground_truth_answer": "64",
"index": 95,
"is_correct": true,
"model_cot": "Alice starts with 20 quarters. Each quarter is worth $0.25, so the total value of her quarters is:\n\n$$\n20 \\times 0.25 = 5.00 \\text{ dollars}\n$$\n\nShe exchanges all the quarters for nickels. Since each nickel is... |
{
"error": null,
"ground_truth_answer": "126",
"index": 96,
"is_correct": true,
"model_cot": "To determine how much money James made from selling all the collected rainwater, we follow a step-by-step process:\n\n---\n\n### **Step 1: Calculate Total Rainfall**\n\nJames collected rain over two days:\n- **Monday... |
{
"error": null,
"ground_truth_answer": "46",
"index": 97,
"is_correct": true,
"model_cot": "To determine how many books Nancy had on the book cart when she started, we analyze the information provided step by step.\n\n---\n\n### **Step 1: Books from the Top Section**\n\nNancy shelved:\n- 12 history books \n... |
{
"error": null,
"ground_truth_answer": "45",
"index": 98,
"is_correct": true,
"model_cot": "To determine the total number of gumballs Hector purchased, we analyze the sequence of events and calculate how many gumballs were given away and how many remained.\n\n---\n\n### Step 1: Gumballs Given to Todd\nHector... |
{
"error": null,
"ground_truth_answer": "3",
"index": 99,
"is_correct": true,
"model_cot": "To solve the problem, we proceed step by step, analyzing the given information and applying logical reasoning.\n\n---\n\n### **Step 1: Determine the size of the second tank**\n\nWe are told that:\n- The first tank is *... |
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