Common Core Standard 6.EE.B.7
This standard covers the following:
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Problem: James has a pair of binoculars that allows him to see 12 miles. If the basic binoculars only see 6 miles, how much additional distance does James's binoculars cover?
Llama 3 8B:
Reasoning: James's binoculars can see 12 miles, while the basic binoculars can see 6 miles. To find the additional distance, subtract the distance seen by the basic binoculars from the distance seen by James's binoculars: 12 - 6 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A box has 641 balls in total. If 284 of those balls are yellow, how many balls are not yellow?
Llama 3 8B:
Reasoning: Let's find the number of balls that are not yellow by subtracting the number of yellow balls from the total number of balls. 641 (total balls) - 284 (yellow balls) = 357 ### Answer: 357
Expected answer: 357
Correct? Yes
Problem: In a bag, there are total 355 balls. If there are already 44 green balls, how many red balls should be added to the bag?
Llama 3 8B:
Reasoning: There are already 44 green balls in the bag. To find the number of red balls needed, we subtract the number of green balls from the total number of balls: 355 - 44 = 311. ### Answer: 311
Expected answer: 311
Correct? Yes
Problem: In a toy shop, there is a total of 601 toy cars. If 321 toy cars are blue, how many toy cars are not blue?
Llama 3 8B:
Reasoning: Let's find the number of toy cars that are not blue by subtracting the number of blue toy cars from the total number of toy cars. 601 (total toy cars) - 321 (blue toy cars) = 280 ### Answer: 280
Expected answer: 280
Correct? Yes
Problem: A certain breed of mouse has a metabolic rate such that it needs to consume 104 food units every day. If a group of these mice require 7592 units of food for one day, how many mice are there in the group?
Llama 3 8B:
Reasoning: Let's divide the total amount of food required (7592) by the amount each mouse needs (104) to find the number of mice. 7592 รท 104 = 73 ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a park, there are 311 kids playing. If 159 of them are playing on the jungle gym, how many kids are not using the jungle gym?
Llama 3 8B:
Reasoning: Let's find the number of kids not using the jungle gym by subtracting the number of kids using the jungle gym from the total number of kids in the park. Number of kids not using the jungle gym = Total number of kids - Number of kids using the jungle gym = 311 - 159 = 152 ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: In a basket, there are 168 apples. If a person just added 166 apples, how many apples were there in the basket before they were added?
Llama 3 8B:
Reasoning: Let's say there were x apples in the basket before the person added 166 apples. Then, the total number of apples in the basket after adding 166 apples is x + 166. We know that the total number of apples in the basket after adding 166 apples is 168. So, we can set up the equation: x + 166 = 168 Subtracting 166 from both sides gives us: x = 2 So, there were 2 apples in the basket before the person added 166 apples. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a fantasy world, a dragon currently owns 380 gold coins in his treasure pile. If he had previously collected 333 gold coins, how many gold coins did he just add to his treasure pile?
Llama 3 8B:
Reasoning: The dragon currently has 380 gold coins. He previously had 333 gold coins. To find out how many gold coins he just added, we subtract the number of gold coins he previously had from the number of gold coins he currently has. 380 (current gold coins) - 333 (previous gold coins) = 47 The dragon just added 47 gold coins to his treasure pile. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: An accomplished drummer practices 9234 beats per day. If they play each drum solo 171 times a day, how many beats do they play during each solo?
Llama 3 8B:
Reasoning: The drummer plays 9234 beats per day. They play each drum solo 171 times a day. To find the number of beats played during each solo, we can divide the total number of beats played per day by the number of solos played per day. 9234 beats per day รท 171 solos per day = 54 beats per solo ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A zoo has 373 tigers in total. If the zoo added 55 new tigers and that made the total number of tigers 373, how many tigers were there in the zoo before the new ones arrived?
Llama 3 8B:
Reasoning: Let's say the number of tigers in the zoo before the new ones arrived is x. After adding 55 new tigers, the total number of tigers becomes x + 55 = 373. To find the number of tigers before the new ones arrived, we can subtract 55 from both sides of the equation: x + 55 - 55 = 373 - 55. This simplifies to x = 318. ### Answer: 318
Expected answer: 318
Correct? Yes
Problem: A sunglasses store has 352 pairs of sunglasses in total. If 182 pairs are for men, how many pairs are for women?
Llama 3 8B:
Reasoning: Let's find the number of pairs of sunglasses for women by subtracting the number of pairs for men from the total number of pairs. 352 (total pairs) - 182 (pairs for men) = 170 ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: If the cloudiness index of city A was 1 point more than city B and city A had a cloudiness index of 157, what was the cloudiness index of city B?
Llama 3 8B:
Reasoning: Let's say the cloudiness index of city B is x. Since the cloudiness index of city A is 1 point more than city B, the cloudiness index of city A is x + 1. We are given that the cloudiness index of city A is 157, so we can set up the equation: x + 1 = 157 Subtracting 1 from both sides gives: x = 156 So, the cloudiness index of city B is 156. ### Answer: 156
Expected answer: 156
Correct? Yes
Problem: A UFO was captured flying at a consistent speed. It was calculated that it traveled 3660 kilometers in 60 minutes. What was the speed of the UFO in kilometers per minute?
Llama 3 8B:
Reasoning: To find the speed of the UFO, we need to divide the distance traveled (3660 km) by the time taken (60 minutes). First, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so: 60 minutes = 1 hour Now, we can divide the distance by the time: 3660 km รท 1 hour = 3660 km/h Since we want to find the speed in kilometers per minute, we need to convert the speed from kilometers per hour to kilometers per minute. There are 60 minutes in an hour, so: 3660 km/h รท 60 = 61 km/min ### Answer: 61 km/min
Expected answer: 61
Correct? Yes
Problem: You have a juice store that has a total of 655 bottles of juice. If 386 are apple juice, how many bottles of other types of juice are there?
Llama 3 8B:
Reasoning: Let's find the number of bottles of other types of juice by subtracting the number of apple juice bottles from the total number of bottles. 655 (total bottles) - 386 (apple juice bottles) = 269 ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: In a faraway galactic system a star radiates energy at 401 units per hour. If this amount includes 82 background units, how much energy does the star itself radiate per hour?
Llama 3 8B:
Reasoning: The total energy radiated by the star is 401 units per hour. This includes 82 background units. To find the energy radiated by the star itself, we need to subtract the background units from the total energy. Let's subtract 82 from 401: 401 - 82 = 319 So, the star itself radiates 319 units of energy per hour. ### Answer: 319
Expected answer: 319
Correct? Yes
Problem: A farmer had 414 grapes. After selling 78 of them, how many grapes do they have left?
Llama 3 8B:
Reasoning: The farmer had 414 grapes initially. After selling 78 grapes, the number of grapes left can be found by subtracting 78 from 414. 414 - 78 = 336 So, the farmer has 336 grapes left. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: In a candy store, there are 107 total lollipops. If there are 34 apple-flavored lollipops, how many lollipops are of other flavors?
Llama 3 8B:
Reasoning: Let's subtract the number of apple-flavored lollipops from the total number of lollipops to find the number of lollipops of other flavors. 107 - 34 = <<107-34=73>>73 lollipops are of other flavors. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a summer camp, there is a huge tent which takes up a total space of 352 square meters. If the space inside the tent is 36 square meters lesser than the total space, what is the actual inner space of the tent?
Llama 3 8B:
Reasoning: Let's say the actual inner space of the tent is x square meters. Since the space inside the tent is 36 square meters lesser than the total space, we can set up the equation: x = Total space - 36 We know the total space is 352 square meters, so we can substitute this value into the equation: x = 352 - 36 x = 316 ### Answer: 316
Expected answer: 316
Correct? Yes
Problem: In a drumming competition, the total score a participant can earn is 95 points. If a drummer received a score of 27 points less than the total possible score, what was their score?
Llama 3 8B:
Reasoning: The total score a participant can earn is 95 points. The drummer received a score of 27 points less than the total possible score, so their score is 95 - 27 = 68 points. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: In a magical world, a wizard cast a spell which resulted in 211 magical sparks. If he started with 29 sparks, how many sparks did his spell create?
Llama 3 8B:
Reasoning: The wizard started with 29 sparks and ended up with 211 sparks. To find the number of sparks created, we subtract the initial number of sparks from the final number of sparks. 211 - 29 = 182 The spell created 182 sparks. ### Answer: 182
Expected answer: 182
Correct? Yes
Problem: A police station has 327 police officers in total. If 231 officers are in the detective department, how many officers make up the rest of the police station's personnel?
Llama 3 8B:
Reasoning: Let's subtract the number of officers in the detective department from the total number of officers to find the number of officers in the rest of the police station's personnel. 327 (total officers) - 231 (officers in detective department) = 96 ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: There are 5536 bars in total to construct a large jungle gym. If each section of the jungle gym requires 16 bars, how many sections can be constructed?
Llama 3 8B:
Reasoning: To find the number of sections, we need to divide the total number of bars (5536) by the number of bars required for each section (16). 5536 รท 16 = 346.25 Since you can't have a fraction of a section, we'll round down to the nearest whole number. 346.25 โ 346 ### Answer: 346
Expected answer: 346
Correct? Yes
Problem: A mermaid finds 9282 beautiful seashells during her 91-day vacation. How many seashells does she find each day?
Llama 3 8B:
Reasoning: To find the number of seashells the mermaid finds each day, we need to divide the total number of seashells (9282) by the number of days (91) she spent on her vacation. 9282 รท 91 = 102 ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: John had 726 contacts in his phone. If he previously had 345, how many new contacts did he add?
Llama 3 8B:
Reasoning: John had 726 contacts in total. He previously had 345 contacts. To find the number of new contacts, we subtract the previous number of contacts from the total number of contacts: 726 - 345 = 381. ### Answer: 381
Expected answer: 381
Correct? Yes
Problem: A river's length is 540 kilometers. If the upper part of the river is 191 kilometers, what is the length of the lower part of the river?
Llama 3 8B:
Reasoning: The length of the upper part of the river is 191 kilometers. The total length of the river is 540 kilometers. To find the length of the lower part of the river, we subtract the length of the upper part from the total length. 540 - 191 = 349 So, the length of the lower part of the river is 349 kilometers. ### Answer: 349
Expected answer: 349
Correct? Yes
Problem: If a farmer stored some apples and the total count became 348 after adding another 219 apples, how many apples did the farmer initially have?
Llama 3 8B:
Reasoning: Let's say the farmer initially had x apples. After adding 219 apples, the total count became 348. We can set up an equation to represent this situation: x + 219 = 348 To solve for x, we can subtract 219 from both sides of the equation: x = 348 - 219 x = 129 So, the farmer initially had 129 apples. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: An artist uses 258 bottles of paint in a month. If she has used 7 bottles already, how many more does she need to meet her monthly goal?
Llama 3 8B:
Reasoning: The artist has already used 7 bottles, and she has a monthly goal of 258 bottles. To find out how many more she needs, we subtract the number of bottles she has already used from her monthly goal: 258 - 7 = 251 So, the artist needs 251 more bottles to meet her monthly goal. ### Answer: 251
Expected answer: 251
Correct? Yes
Problem: A helicopter started flying at an elevation of 124 feet. It continued to ascend until it reached an altitude of 334 feet. How many feet did the helicopter ascend after the initial 124 feet?
Llama 3 8B:
Reasoning: The helicopter started at an elevation of 124 feet and ended at an elevation of 334 feet. To find the difference, subtract the initial elevation from the final elevation: 334 - 124 = 210. ### Answer: 210
Expected answer: 210
Correct? Yes
Problem: A sailor is 22 miles into his journey and ends up 161 miles away from his starting point. How much farther did he travel from the point he was at 22 miles?
Llama 3 8B:
Reasoning: The sailor was 22 miles into his journey, which means he had already traveled 22 miles. He ended up 161 miles away from his starting point, which means he traveled a total distance of 161 miles. To find out how much farther he traveled from the point he was at 22 miles, we need to subtract 22 from 161. 161 - 22 = 139 So, the sailor traveled 139 miles farther from the point he was at 22 miles. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: An ice cream shop made a total of 482 ice cream scoops. If 357 of those scoops are vanilla, how many scoops of other flavors did the shop make?
Llama 3 8B:
Reasoning: The shop made a total of 482 scoops, and 357 of those are vanilla. To find the number of scoops of other flavors, we subtract the number of vanilla scoops from the total number of scoops: 482 (total scoops) - 357 (vanilla scoops) = 125 So, the shop made 125 scoops of other flavors. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: During a circus performance, a juggler tossed 113 juggling balls into the air. If she started with 105 balls, how many additional balls did she add to the routine?
Llama 3 8B:
Reasoning: The juggler started with 105 balls and ended with 113 balls. To find the number of additional balls added, subtract the initial number of balls from the final number of balls: 113 - 105 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A jeweler has a total of 267 gemstones. If 80 of these gemstones have already been attached to rings, how many gemstones has the jeweler not yet attached to any rings?
Llama 3 8B:
Reasoning: The jeweler has a total of 267 gemstones. 80 gemstones have already been attached to rings. To find the number of gemstones not yet attached to rings, subtract 80 from 267. 267 - 80 = <<267-80=187>>187 gemstones have not yet been attached to any rings. ### Answer: 187
Expected answer: 187
Correct? Yes
Problem: A car can drive a total of 743 miles on its full tank. If the first half of the tank will get it 357 miles, how many miles will the second half of the tank get it?
Llama 3 8B:
Reasoning: The total distance the car can drive is 743 miles. The first half of the tank gets it 357 miles. To find the distance the second half of the tank gets it, we subtract the distance the first half gets it from the total distance: 743 - 357 = 386. ### Answer: 386
Expected answer: 386
Correct? Yes
Problem: In a circus, a juggling act has a total of 447 pieces to juggle. If 273 pieces are already in use, how many extra pieces do they have left?
Llama 3 8B:
Reasoning: The juggling act has a total of 447 pieces to juggle. 273 pieces are already in use, so the number of extra pieces left is 447 - 273 = <<447-273=174>>174. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: At an eyewear shop, there are 396 eyeglasses. If all the eyeglasses are manufactured in pairs, how many pairs of eyeglasses does the shop have?
Llama 3 8B:
Reasoning: Since all the eyeglasses are manufactured in pairs, we can divide the total number of eyeglasses by 2 to find the number of pairs. 396 รท 2 = 198 ### Answer: 198
Expected answer: 198
Correct? Yes
Problem: You're attempting to measure the wind speed in knots. Today, your device indicates a speed of 366 knots. Knowing that the device happens to add 314 knots to the actual speed due to a calibration error, can you calculate the actual wind speed today?
Llama 3 8B:
Reasoning: The device is indicating a speed of 366 knots, but this is actually 314 knots more than the actual speed. To find the actual speed, we need to subtract 314 from the indicated speed. 366 - 314 = <<366-314=52>>52 So, the actual wind speed today is 52 knots. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A door manufacturer has a target to make 139 doors today. If they have already made 126 doors, how many more do they need to make to reach their target?
Llama 3 8B:
Reasoning: The door manufacturer has already made 126 doors, and their target is to make 139 doors. To find out how many more doors they need to make, we subtract the number of doors they have already made from the target: 139 (target) - 126 (already made) = 13 So, they need to make 13 more doors to reach their target. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: If you have 200 pictures and your friend gives you 8 more, how many pictures did you start with?
Llama 3 8B:
Let's say the number of pictures you started with is x. You now have a total of 200 + 8 = 208 pictures. Since your friend gave you 8 more pictures, the number of pictures you started with is 208 - 8 = 200. But wait, we know that you started with x pictures, not 200. So, we can set up the equation: x + 8 = 200 Subtracting 8 from both sides gives us: x = 192 So, you started with 192 pictures. ### Answer: 192
Expected answer: 192
Correct? Yes
Problem: The police department has a total of 195 officers. If 95 of those officers are on vacation, how many are on active duty?
Llama 3 8B:
Reasoning: The total number of officers is 195. If 95 are on vacation, that means the number of officers on active duty is the total number minus the number on vacation. 195 - 95 = <<195-95=100>>100 officers are on active duty. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: In a Word document, there are a total of 578 words in it. If you know that you already wrote 206 words, how many more words will you have to write?
Llama 3 8B:
Reasoning: Let's subtract the number of words already written (206) from the total number of words (578) to find the number of words remaining to be written. 578 - 206 = 372 So, there are 372 words remaining to be written. ### Answer: 372
Expected answer: 372
Correct? Yes
Problem: A helicopter is carrying supplies for a total weight of 498 pounds. If the gear, excluding the weight of the supplies, weighs 251 pounds, how many pounds of supplies is the helicopter carrying?
Llama 3 8B:
Reasoning: Let's say the weight of the supplies is x pounds. Since the total weight of the helicopter and its gear is 498 pounds, we can set up the equation: x + 251 = 498 Subtracting 251 from both sides gives us: x = 247 So, the helicopter is carrying 247 pounds of supplies. ### Answer: 247
Expected answer: 247
Correct? Yes
Problem: In a school, there are 632 books in total. If the English teacher has 271 of those books, how many books do the other teachers have?
Llama 3 8B:
Reasoning: Let's subtract the number of books the English teacher has from the total number of books to find out how many books the other teachers have. 632 - 271 = <<632-271=361>>361 books are left for the other teachers. ### Answer: 361
Expected answer: 361
Correct? Yes
Problem: In a bubble-making competition, a contestant created 161 bubbles. If he already had 142 bubbles and then blew more, how many additional bubbles did he blow?
Llama 3 8B:
Reasoning: The contestant already had 142 bubbles. He created 161 bubbles in total. To find the number of additional bubbles he blew, we subtract the number of bubbles he already had from the total number of bubbles he created: 161 - 142 = 19. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In a chicken farm, there are 254 chickens. If there were originally 41 chickens and the rest were newly hatched, how many chickens were newly hatched?
Llama 3 8B:
Reasoning: Let's find the number of newly hatched chickens by subtracting the original number of chickens from the total number of chickens. Newly hatched chickens = Total number of chickens - Original number of chickens = 254 - 41 = 213 ### Answer: 213
Expected answer: 213
Correct? Yes
Problem: In the magical land of unicorns, there are 619 unicorns in total. If 227 of those unicorns are baby unicorns, how many unicorns are grown adults?
Llama 3 8B:
Reasoning: Let's subtract the number of baby unicorns from the total number of unicorns to find the number of grown adult unicorns. 619 (total unicorns) - 227 (baby unicorns) = 392 ### Answer: 392
Expected answer: 392
Correct? Yes
Problem: If the total amount of money in your bank account is $425, and $298 of it is still available after paying bills, how much did you spend on bills?
Llama 3 8B:
Let's start by identifying the amount of money available after paying bills, which is $298. This is the total amount of money minus the amount spent on bills. Let x be the amount spent on bills. Then, the total amount of money minus the amount spent on bills is: 425 - x = 298 To find the amount spent on bills, we can subtract 298 from both sides of the equation: x = 425 - 298 x = 127 So, you spent $127 on bills. ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: After sharpening a number of pencils, a total of 127 bits of eraser were cut off. If 29 of them came from blue pencils, how many came from red pencils?
Llama 3 8B:
Reasoning: Let's say the number of bits of eraser cut off from red pencils is x. Since a total of 127 bits were cut off, we can set up the equation: x + 29 = 127. Subtracting 29 from both sides gives us: x = 127 - 29 = 98. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Angela's watch is fast by 262 minutes. If it is showing a time that's 399 minutes later than it actually is, then how many minutes ahead was it initially set?
Llama 3 8B:
Reasoning: Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x + 262. Since the watch is 399 minutes ahead, we can set up the equation: x + 262 = x + 399 Subtracting x from both sides gives: 262 = 399 Subtracting 262 from both sides gives: 0 = 137 This is not possible, so let's try again. Let's say the actual time is x. Since the watch is fast by 262 minutes, the time shown on the watch is x
Expected answer: 137
Correct? No
Problem: In a fireplace factory, a special type of fireplace is produced. If 1891 fireplaces were produced in a certain period of time and each day during that period produced 61 fireplaces, how many days did this period last?
Llama 3 8B:
Reasoning: Let's divide the total number of fireplaces produced (1891) by the number of fireplaces produced per day (61) to find the number of days it took to produce all the fireplaces. 1891 รท 61 = 31 ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A star in the outer space is emitting 497 units of light in total. If 266 units are perceived by our naked eye, how many units of light are only detected by special instruments?
Llama 3 8B:
Reasoning: The total units of light emitted by the star is 497. The number of units perceived by our naked eye is 266. To find the number of units perceived by special instruments, we subtract the number perceived by our naked eye from the total: 497 - 266 = 231 So, 231 units of light are only detected by special instruments. ### Answer: 231
Expected answer: 231
Correct? Yes
Problem: In a chocolate factory, a mixer made 508 kg chocolate mixture for the day. If the chocolate without the added flavorings weighted 142 kg, how much kg of flavorings did the mixer add to the chocolate?
Llama 3 8B:
Reasoning: The mixer made a total of 508 kg of chocolate mixture. The chocolate without the added flavorings weighed 142 kg. To find the weight of the added flavorings, we subtract the weight of the chocolate from the total weight of the mixture. 508 kg (total mixture) - 142 kg (chocolate) = 366 kg (flavorings) ### Answer: 366
Expected answer: 366
Correct? Yes
Problem: A butterfly has 327 spots on its wings. If we subtract 4 from the number of spots, we will get another kind of butterfly. How many spots does this new type of butterfly have?
Llama 3 8B:
Reasoning: If we subtract 4 from the original number of spots, we get 327 - 4 = 323. ### Answer: 323
Expected answer: 323
Correct? Yes
Problem: The price of a luxury wristwatch is $402. If the manufacturing cost of the watch is $261, how much is the profit gained from selling the watch?
Llama 3 8B:
Reasoning: The selling price of the watch is $402. The manufacturing cost of the watch is $261. The profit gained from selling the watch is the difference between the selling price and the manufacturing cost, which is $402 - $261 = $141. ### Answer: $141
Expected answer: 141
Correct? Yes
Problem: A house needs 4082 bricks for its front wall. If each row utilizes 157 bricks, how many rows of bricks were used to complete the wall?
Llama 3 8B:
Reasoning: To find the number of rows, we need to divide the total number of bricks (4082) by the number of bricks used in each row (157). 4082 รท 157 = 26.12 (round down to 26, since you can't have a fraction of a row) ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A teacher has 344 books. If she already had 67 books and was given some more as a gift, how many books did she receive as a gift?
Llama 3 8B:
Reasoning: Let's first find out how many books the teacher has now. She already had 67 books and received some more as a gift. She now has a total of 344 books. To find out how many books she received as a gift, we can subtract the number of books she already had from the total number of books she has now. 344 (total books) - 67 (books she already had) = 277 So, the teacher received 277 books as a gift. ### Answer: 277
Expected answer: 277
Correct? Yes
Problem: In a police department, 524 police officers are currently on the force. If 376 of them are on duty, how many officers are off duty?
Llama 3 8B:
Reasoning: Since 376 officers are on duty, the number of officers off duty can be found by subtracting the number of officers on duty from the total number of officers on the force. 524 (total officers) - 376 (officers on duty) = 148 ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: A farmer counted that he has 1190 tomatoes overall. If each of his tomato plants produced exactly 35 tomatoes, how many tomato plants does the farmer have?
Llama 3 8B:
Reasoning: Let's divide the total number of tomatoes (1190) by the number of tomatoes each plant produces (35). This will give us the number of plants the farmer has. 1190 รท 35 = 34 So, the farmer has 34 tomato plants. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: In a furniture showroom, there are a total of 297 chairs. If 280 of these chairs are wooden, how many chairs are not made of wood?
Llama 3 8B:
Reasoning: Let's find the number of chairs that are not made of wood by subtracting the number of wooden chairs from the total number of chairs. 297 (total chairs) - 280 (wooden chairs) = 17 ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A cat catches 32 mice every day. If the cat catches a total of 1504 mice, how many days did it take the cat to catch all the mice?
Llama 3 8B:
Reasoning: Let's divide the total number of mice caught (1504) by the number of mice caught per day (32) to find the number of days it took the cat to catch all the mice. 1504 รท 32 = 47 ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A bubble blower machine blows 440 bubbles in one minute. If it blows 325 bubbles in the first half minute, how many bubbles does it blow in the second half minute?
Llama 3 8B:
Reasoning: The bubble blower machine blows 440 bubbles in one minute. Since the first half minute is 30 seconds, it blows 325 bubbles in that time. To find the number of bubbles it blows in the second half minute, we subtract the number of bubbles it blows in the first half minute from the total number of bubbles it blows in one minute: 440 - 325 = 115 So, the bubble blower machine blows 115 bubbles in the second half minute. ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: A truck has a total weight capacity of 430 kg. If 261 kg is already being used up, how much more weight can it carry?
Llama 3 8B:
Reasoning: The truck has a total weight capacity of 430 kg. 261 kg is already being used up, so we need to subtract 261 from 430 to find out how much more weight it can carry. 430 - 261 = 169 ### Answer: 169
Expected answer: 169
Correct? Yes
Problem: If a cheesemaker has 554 kilograms of cheese and it includes 156 kilograms of cheddar cheese, how many kilograms of the remaining cheese is not cheddar cheese?
Llama 3 8B:
Reasoning: The cheesemaker has 554 kilograms of cheese in total. 156 kilograms of it is cheddar cheese. To find the total amount of non-cheddar cheese, we subtract the amount of cheddar cheese from the total amount of cheese: 554 - 156 = 398. ### Answer: 398
Expected answer: 398
Correct? Yes
Problem: A dairy farm has 433 cows in total. If 71 of them are still calves, how many of them are fully grown adult cows?
Llama 3 8B:
Reasoning: The farm has 433 cows in total. 71 of them are still calves, which means the number of fully grown adult cows is the total number of cows minus the number of calves. 433 - 71 = <<433-71=362>>362 cows are fully grown adult cows. ### Answer: 362
Expected answer: 362
Correct? Yes
Problem: In a wind-turbine farm, there's a turbine which is able to generate 8640 kWh of electricity everyday when wind speed is steady at 45 kph. How many kWh does each kph of wind speed generate?
Llama 3 8B:
Reasoning: The turbine generates 8640 kWh of electricity when the wind speed is steady at 45 kph. To find out how many kWh each kph of wind speed generates, we need to divide the total kWh generated by the wind speed. 8640 kWh (total) รท 45 kph (wind speed) = 192 kWh/kph ### Answer: 192 kWh/kph
Expected answer: 192
Correct? Yes
Problem: A crayon factory is running a special production line that produces 5040 crayons in one day by operating for 't' hours. If the factory machine can produce 45 crayons every hour, for how many hours was the machine operating?
Llama 3 8B:
Reasoning: The machine produces 45 crayons every hour. To find the total number of hours the machine was operating, we need to divide the total number of crayons produced (5040) by the number of crayons produced per hour (45). 5040 รท 45 = 112 So, the machine was operating for 112 hours. ### Answer: 112
Expected answer: 112
Correct? Yes
Problem: In a hat store, there are 298 hats in total. If 201 of those hats are baseball hats, how many are not baseball hats?
Llama 3 8B:
Reasoning: Let's find the number of hats that are not baseball hats by subtracting the number of baseball hats from the total number of hats. 298 (total hats) - 201 (baseball hats) = 97 ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: A particular type of cucumber plant produces 242 cucumbers. If each plant has 22 fruits, how many plants are there?
Llama 3 8B:
Reasoning: Let's divide the total number of cucumbers (242) by the number of fruits per plant (22). 242 รท 22 = 11 ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A city received 750 millimeters of rainfall during the monsoon season. If, in the first half of the season, there were 359 millimeters of rainfall, how much rainfall did the city receive in the second half of the season?
Llama 3 8B:
Reasoning: The city received 750 millimeters of rainfall in total. The first half of the season had 359 millimeters of rainfall. To find the rainfall in the second half, subtract the rainfall in the first half from the total rainfall. 750 - 359 = <<750-359=391>> ### Answer: 391
Expected answer: 391
Correct? Yes
Problem: The weight of a fully inflated balloon is 573 grams. If the weight of the balloon itself is 254 grams, what is the weight of the air inside the balloon?
Llama 3 8B:
Reasoning: The weight of the air inside the balloon is the total weight of the fully inflated balloon minus the weight of the balloon itself. 573 - 254 = <<573-254=319>>319 grams. ### Answer: 319
Expected answer: 319
Correct? Yes
Problem: A balloon seller just inflated a new batch of balloons, bringing the total number of balloons to 434. If the seller had 179 balloons already, how many new balloons did they inflate?
Llama 3 8B:
Reasoning: Let's say the number of new balloons inflated is x. The total number of balloons is the sum of the initial number of balloons and the new balloons. We can set up the equation: 179 + x = 434 To find the value of x, we can subtract 179 from both sides of the equation: x = 434 - 179 x = 255 So, the seller inflated 255 new balloons. ### Answer: 255
Expected answer: 255
Correct? Yes
Problem: A bus operator counted 631 passengers in total today. If 362 passengers boarded the bus in the morning, how many passengers boarded the bus in the afternoon?
Llama 3 8B:
Reasoning: Let's say the number of passengers who boarded the bus in the afternoon is x. We know that the total number of passengers is 631, and 362 passengers boarded in the morning. So, the number of passengers who boarded in the afternoon is the difference between the total and the number who boarded in the morning: x = 631 - 362. x = 269. ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: If you added 8 liters of blue paint to some amount of yellow paint to make 280 liters of green paint, how many liters of yellow paint did you use?
Llama 3 8B:
Let's say the amount of yellow paint is x liters. Since 8 liters of blue paint were added to make 280 liters of green paint, the total amount of yellow paint is x + 8 liters. We know that the total amount of green paint is 280 liters, so we can set up the equation: x + 8 = 280 Subtracting 8 from both sides gives us: x = 272 So, the amount of yellow paint used is 272 liters. ### Answer: 272
Expected answer: 272
Correct? Yes
Problem: Through a telescope, an astronomer spots 419 celestial bodies in the sky. If 132 of those bodies are discovered to be stars, how many bodies are not stars?
Llama 3 8B:
Reasoning: The astronomer spots 419 celestial bodies in total. 132 of those bodies are stars. To find the number of bodies that are not stars, we subtract the number of stars from the total number of bodies: 419 - 132 = 287. ### Answer: 287
Expected answer: 287
Correct? Yes
Problem: In a wild, one lion is eating 147 pounds of food each week. If the total amount of food eaten in four weeks is 588 pounds, how many weeks is accounted for?
Llama 3 8B:
Reasoning: Let's find the total amount of food eaten by the lion in one week: 147 pounds. The total amount of food eaten in four weeks is 588 pounds. To find the number of weeks accounted for, we can divide the total amount of food eaten in four weeks by the amount of food eaten in one week: 588 รท 147 = 4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: John earns money by babysitting. He babysitted for 30 hours and earned a total of 4440 dollars. How much does he earn per hour?
Llama 3 8B:
Reasoning: John earned a total of 4440 dollars for 30 hours of babysitting. To find out how much he earns per hour, we can divide the total amount earned by the number of hours worked: 4440 รท 30 = <<4440/30=148>>148 dollars per hour. ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: If a cow produces 3360 pounds of milk over a period of time and the average amount of milk the cow produces per day is 120 pounds, how many days was the milk collected for?
Llama 3 8B:
Reasoning: Let's divide the total amount of milk produced (3360 pounds) by the average amount of milk produced per day (120 pounds) to find the number of days the milk was collected for: 3360 pounds รท 120 pounds/day = 28 days ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A tiger sanctuary has a total of 380 tigers. If 81 of them are Siberian tigers, how many are non-Siberian tigers?
Llama 3 8B:
Reasoning: Let's subtract the number of Siberian tigers from the total number of tigers to find the number of non-Siberian tigers. 380 (total tigers) - 81 (Siberian tigers) = 299 ### Answer: 299
Expected answer: 299
Correct? Yes
Problem: A wind turbine generated 361 kilowatts of electricity in a day. During the morning, it generated 151 kilowatts. How many kilowatts were generated by the wind turbine in the afternoon?
Llama 3 8B:
Reasoning: The wind turbine generated 361 kilowatts in total. It generated 151 kilowatts in the morning. To find out how many kilowatts were generated in the afternoon, we subtract the morning's generation from the total: 361 (total) - 151 (morning) = 210 So, the wind turbine generated 210 kilowatts in the afternoon. ### Answer: 210
Expected answer: 210
Correct? Yes
Problem: In a city, the total rainfall over the course of a month was 76mm. If it rained 41mm in the first half of the month, how much did it rain in the second half of the month?
Llama 3 8B:
Reasoning: The total rainfall is 76mm. The first half of the month had 41mm of rainfall. To find the rainfall in the second half of the month, we subtract the rainfall in the first half from the total rainfall: 76mm - 41mm = 35mm. ### Answer: 35mm
Expected answer: 35
Correct? Yes
Problem: The local park has installed 30 new benches. If the total cost of installation was $6690, what was the cost to install each bench?
Llama 3 8B:
Reasoning: The total cost of installation was $6690, and there are 30 new benches. To find the cost to install each bench, we can divide the total cost by the number of benches. $6690 รท 30 = $223 ### Answer: $223
Expected answer: 223
Correct? Yes
Problem: A mermaid found a treasure chest containing 4554 pearls. If she found 46 pearls each time she dived, how many times did she dive to collect all the pearls?
Llama 3 8B:
Reasoning: To find the number of times the mermaid dived, we need to divide the total number of pearls (4554) by the number of pearls she found each time she dived (46). 4554 รท 46 = 99 So, the mermaid dived 99 times to collect all the pearls. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a garden, there are 62 beautiful butterflies. If 28 of them are painted lady butterflies, how many are not painted lady butterflies?
Llama 3 8B:
Reasoning: There are 62 butterflies in total. 28 of them are painted lady butterflies. To find the number of butterflies that are not painted lady butterflies, subtract the number of painted lady butterflies from the total number of butterflies: 62 - 28 = <<62-28=34>>34 butterflies are not painted lady butterflies. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: Princess Serena has a total of 644 charms in her collection. If she gained 310 silver charms over the last year, how many gold charms did she already have in her collection?
Llama 3 8B:
Reasoning: Let's say Princess Serena had x gold charms initially. Then, she gained 310 silver charms, and her total number of charms became 644. We can set up an equation to represent this situation: x + 310 = 644 Subtracting 310 from both sides gives us: x = 334 So, Princess Serena already had 334 gold charms in her collection. ### Answer: 334
Expected answer: 334
Correct? Yes
Problem: One of Mary's bracelets is made out of individual pieces, and she counted that there are 276 pieces in total. If Mary only adds pieces in sets of 4, what was the original count of pieces before she added the last set?
Llama 3 8B:
Reasoning: Let's find the last set of pieces that Mary added. Since she adds pieces in sets of 4, the last set must be a multiple of 4. The closest multiple of 4 less than 276 is 272. So, the last set of pieces is 4, and the original count of pieces before she added the last set is 272. ### Answer: 272
Expected answer: 272
Correct? Yes
Problem: A doll collector has 716 dolls in total. If 380 of those dolls are porcelain dolls, how many dolls are not porcelain?
Llama 3 8B:
Reasoning: The total number of dolls is 716. The number of porcelain dolls is 380. To find the number of dolls that are not porcelain, we subtract the number of porcelain dolls from the total number of dolls. 716 - 380 = <<716-380=336>> ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: A music store has 456 guitars in total. If 228 of those guitars are electric, how many of the guitars are acoustic?
Llama 3 8B:
Reasoning: Let's find the number of acoustic guitars by subtracting the number of electric guitars from the total number of guitars. Total number of guitars = 456 Number of electric guitars = 228 Number of acoustic guitars = Total number of guitars - Number of electric guitars = 456 - 228 = 228 ### Answer: 228
Expected answer: 228
Correct? Yes
Problem: At the base of a mountain, hikers start at an elevation of 103 meters. By the end of their climb, they reach a total elevation of 457 meters. How many meters did the hikers climb?
Llama 3 8B:
Reasoning: The hikers start at an elevation of 103 meters and end at an elevation of 457 meters. To find the total elevation climbed, we subtract the starting elevation from the ending elevation. 457 - 103 = <<457-103=354>>354 meters. ### Answer: 354
Expected answer: 354
Correct? Yes
Problem: In a castle, there are 264 total rooms. If 234 of those rooms are occupied, how many rooms are unoccupied?
Llama 3 8B:
Reasoning: Let's find the number of occupied rooms first. We know that 234 rooms are occupied, and there are a total of 264 rooms. To find the number of unoccupied rooms, we subtract the number of occupied rooms from the total number of rooms. 264 (total rooms) - 234 (occupied rooms) = 30 So, there are 30 unoccupied rooms in the castle. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: In a ball factory, the number of soccer balls is 359. If that number includes 286 made yesterday, how many were made today?
Llama 3 8B:
Reasoning: Let's subtract the number of soccer balls made yesterday from the total number of soccer balls to find the number made today. 359 - 286 = <<359-286=73>>73 ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: There are 326 beach balls at a seaside resort. If one part of the beach already has 246 beach balls, how many beach balls are there in the other part?
Llama 3 8B:
Reasoning: Let's subtract the number of beach balls already at the other part of the beach from the total number of beach balls. Total beach balls - Beach balls already at the other part = Beach balls at the other part 326 - 246 = 80 ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: There are 9287 passengers that took the bus this week. If each bus can carry 251 passengers, how many buses were needed to carry all the passengers?
Llama 3 8B:
Reasoning: To find the number of buses needed, we need to divide the total number of passengers (9287) by the capacity of each bus (251). 9287 รท 251 = 37 So, 37 buses were needed to carry all the passengers. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: A farmer harvested 438 cucumbers in total. If he previously harvested 69 cucumbers, how many cucumbers did he harvest this time?
Llama 3 8B:
Reasoning: Let's say the number of cucumbers harvested this time is x. We know that the total number of cucumbers harvested is 438, and the farmer previously harvested 69 cucumbers. Therefore, we can set up the equation: x + 69 = 438 To solve for x, we can subtract 69 from both sides of the equation: x = 438 - 69 x = 369 So, the farmer harvested 369 cucumbers this time. ### Answer: 369
Expected answer: 369
Correct? Yes
Problem: In a warehouse, there are 424 chairs. If 208 chairs are already loaded onto the truck, how many chairs are left in the warehouse to be loaded?
Llama 3 8B:
Reasoning: Let's subtract the number of chairs already loaded (208) from the total number of chairs in the warehouse (424). 424 - 208 = 216 There are 216 chairs left in the warehouse to be loaded. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: Superhero Flash can run 198 miles in an hour. If the total miles he can run is increased by 19 miles per hour compared to his previous speed, what was his previous speed?
Llama 3 8B:
Let's say Flash's previous speed was x miles per hour. Since his total miles per hour increased by 19 miles, his new speed is x + 19 miles per hour. We know that his new speed is 198 miles per hour, so we can set up the equation: x + 19 = 198 Subtract 19 from both sides: x = 179 So, Flash's previous speed was 179 miles per hour. ### Answer: 179
Expected answer: 179
Correct? Yes
Problem: On a farm, there are a total of 727 animals. If 342 of those animals are chickens, how many animals are not chickens?
Llama 3 8B:
Reasoning: Let's subtract the number of chickens from the total number of animals to find the number of animals that are not chickens. 727 - 342 = <<727-342=385>>385 animals are not chickens. ### Answer: 385
Expected answer: 385
Correct? Yes
Problem: A chocolate factory has a daily production of 385 chocolate bars. If 230 bars are dark chocolate, how many bars are milk chocolate?
Llama 3 8B:
Reasoning: Let's subtract the number of dark chocolate bars from the total daily production to find the number of milk chocolate bars. 385 (total bars) - 230 (dark chocolate bars) = 155 ### Answer: 155
Expected answer: 155
Correct? Yes
Problem: The initial altitude of a mountain is 289 meters above sea level but after some tectonic activity, it is now 357 meters above sea level. By how many meters did the altitude increase after the tectonic activity?
Llama 3 8B:
Reasoning: The initial altitude of the mountain is 289 meters. After the tectonic activity, the altitude increased to 357 meters. To find the increase in altitude, subtract the initial altitude from the new altitude: 357 - 289 = 68. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: If a zoo needs 4572 pounds of food to feed every monkey over a month and every single monkey eats 36 pounds of food in a month, how many monkeys are there in the zoo?
Llama 3 8B:
Reasoning: Let's say there are x monkeys in the zoo. Each monkey eats 36 pounds of food in a month, so the total amount of food eaten by all monkeys is 36x pounds. Since the zoo needs 4572 pounds of food to feed all monkeys, we can set up the equation: 36x = 4572 To solve for x, we can divide both sides by 36: x = 4572 / 36 x = 127 ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: A doll house can hold 16 dolls in each room. If it can house a total of 832 dolls, how many rooms are in the doll house?
Llama 3 8B:
Reasoning: Let's say the number of rooms in the doll house is x. Since each room can hold 16 dolls, the total number of dolls the doll house can hold is 16x. We know that the total number of dolls the doll house can hold is 832, so we can set up the equation: 16x = 832 To solve for x, we can divide both sides of the equation by 16: x = 832 รท 16 x = 52 So, there are 52 rooms in the doll house. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A luxurious watch costs $422. If the manufacturing cost is $200, how much is charged for brand value, sales profits, and other overheads?
Llama 3 8B:
Reasoning: The total cost of the watch is the sum of the manufacturing cost, brand value, sales profits, and other overheads. Let's call the total cost of the brand value, sales profits, and other overheads "x". We know that the total cost of the watch is $422, and the manufacturing cost is $200. Therefore, we can set up the equation: 200 + x = 422 To find the value of x, we can subtract 200 from both sides of the equation: x = 422 - 200 x = 222 So, the brand value, sales profits, and other overheads are $222. ### Answer: 222
Expected answer: 222
Correct? Yes