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?
InternLM-Math Base 7B:
Reasoning: 12-6=<<12-6=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?
InternLM-Math Base 7B:
Reasoning: 641-284 = <<641-284=357>>357 balls are not yellow. ### 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?
InternLM-Math Base 7B:
Reasoning: 44/355 = <<44/355=0.1235>>0.1235 0.1235 × 355 = <<0.1235 × 355=43.4375>>43.4375 ### Answer: 43.4375
Expected answer: 311
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 601-321 = <<601-321=280>>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?
InternLM-Math Base 7B:
Reasoning: 1 mouse needs 104 units of food for 1 day. 1/104 of a group of mice needs 1 unit of food for 1 day. 1/104 of a group of mice needs 1/7592 of the 7592 units of food for 1 day. 1/104 of a group of mice = 1/7592. 1/7592 = 1/104. 1/1 = 7592/104. 1 = 7592/104. 1*104 = 7592. 104 = 7592. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*7592/104 = 1. 7592/104 = 1. 1*
Expected answer: 73
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 311-159 = <<311-159=152>>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?
InternLM-Math Base 7B:
Reasoning: 168-166 = <<168-166=2>>2 ### 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?
InternLM-Math Base 7B:
Reasoning: 333+380 = <<333+380=713>>713 ### Answer: 713
Expected answer: 47
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 9234/171 = <<9234/171=53.8>>53.8 beats.
Expected answer: 54
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 55+373 = <<55+373=428>>428 ### Answer: 428
Expected answer: 318
Correct? No
Problem: A sunglasses store has 352 pairs of sunglasses in total. If 182 pairs are for men, how many pairs are for women?
InternLM-Math Base 7B:
Reasoning: 182/2 = <<182/2=91>>91.
Expected answer: 170
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: The cloudiness index of city B is 1 point less than 157. 157-1 = <<157-1=156>>156. The cloudiness index of city B is 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?
InternLM-Math Base 7B:
Reasoning: 3660/60 = <<3660/60=61>>61 kilometers per minute. ### Answer: 61
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?
InternLM-Math Base 7B:
Reasoning: 655-386= <<655-386=269>>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?
InternLM-Math Base 7B:
Reasoning: The star itself radiates 401-82 = <<401-82=319>>319 units 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?
InternLM-Math Base 7B:
|user| A farmer had 414 grapes. After selling 78 of them, how many grapes do they have left?
Expected answer: 336
Correct? No
Problem: In a candy store, there are 107 total lollipops. If there are 34 apple-flavored lollipops, how many lollipops are of other flavors?
InternLM-Math Base 7B:
Reasoning: 107-34 = <<107-34=73>>73 ### 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?
InternLM-Math Base 7B:
Reasoning: The total space of the tent is 352 square meters. The space inside the tent is 36 square meters lesser than the total space. So, the actual inner space of the tent is 352-36= <<352-36=316>>316 square meters. ### 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?
InternLM-Math Base 7B:
Reasoning: The drummer's score is 95-27 = <<95-27=68>>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?
InternLM-Math Base 7B:
Reasoning: The number of sparks the spell created is 211-29 = <<211-29=182>>182. ### 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?
InternLM-Math Base 7B:
Reasoning: 327-231 = <<327-231=96>>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?
InternLM-Math Base 7B:
Reasoning: 5536/16 = <<5536/16=345>>345 There are 345 sections in the large jungle gym.
Expected answer: 346
Correct? No
Problem: A mermaid finds 9282 beautiful seashells during her 91-day vacation. How many seashells does she find each day?
InternLM-Math Base 7B:
Reasoning: 9282/91 = <<9282/91=102.197>>102.197 The mermaid finds 102.197 seashells each day. ### Answer: 102.197
Expected answer: 102
Correct? No
Problem: John had 726 contacts in his phone. If he previously had 345, how many new contacts did he add?
InternLM-Math Base 7B:
Reasoning: John's new number of contacts is 726-345 = <<726-345=381>>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?
InternLM-Math Base 7B:
Reasoning: 540-191= <<540-191=349>>349 ### 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?
InternLM-Math Base 7B:
Reasoning: 348-219 = <<348-219=129>>129. The farmer 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?
InternLM-Math Base 7B:
Reasoning: The artist has 7/258 = <<7/258=0.027027>>0.027027 of her monthly goal left to go. She needs 1-0.027027 = <<1-0.027027=0.972973>>0.972973 of her goal, or 258*0.972973= <<258*0.972973=250.8>>250.8 bottles to meet her goal. ### Answer: 250.8
Expected answer: 251
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: The helicopter ascended 334 – 124 = <<334-124=210>>210 feet. ### 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?
InternLM-Math Base 7B:
|user| 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?
Expected answer: 139
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: The shop made 482-357 = <<482-357=125>>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?
InternLM-Math Base 7B:
Reasoning: 113-105 = <<113-105=8>>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?
InternLM-Math Base 7B:
Reasoning: The jeweler has 267-80 = <<267-80=187>>187 gemstones that 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?
InternLM-Math Base 7B:
Reasoning: 1/2 of 357 = <<1/2 357=178.5>>178.5 The second half of the tank will get the car 743-357 = <<743-357=386>>386 miles. ### 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?
InternLM-Math Base 7B:
Reasoning: 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?
InternLM-Math Base 7B:
Reasoning: 396/2 = <<396/2=198>>198. The shop has 198 pairs of eyeglasses. ### 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?
InternLM-Math Base 7B:
Reasoning: The device is off by 314 knots. 366-314= <<366-314=52>>52. The actual speed 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?
InternLM-Math Base 7B:
Reasoning: 139-126 = <<139-126=13>>13 ### 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?
InternLM-Math Base 7B:
8/200 = 0.04, so you started with 200/0.04 = 5,000 pictures.
Expected answer: 192
Correct? No
Problem: The police department has a total of 195 officers. If 95 of those officers are on vacation, how many are on active duty?
InternLM-Math Base 7B:
Reasoning: 195-95 = <<195-95=100>>100 ### 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?
InternLM-Math Base 7B:
Reasoning: 578-206 = <<578-206=372>>372 ### 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?
InternLM-Math Base 7B:
Reasoning: 251+<<251+___=498>>___=498 <<251+___=498>>-251=<<251+___=498>>-251=247 ### 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?
InternLM-Math Base 7B:
Reasoning: 632-271=<<632-271=361>>361 ### 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?
InternLM-Math Base 7B:
Reasoning: 161-142 = <<161-142=19>>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?
InternLM-Math Base 7B:
Reasoning: 254-41 = <<254-41=213>>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?
InternLM-Math Base 7B:
Reasoning: 619-227= <<619-227=392>>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?
InternLM-Math Base 7B:
Reasoning: 425-298= <<425-298=127>>127. ### 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?
InternLM-Math Base 7B:
Reasoning: 29/127 = <<29/127=0.229921>>0.23 of the eraser bits came from blue pencils. 0.23*100 = <<0.23*100=23>>23% of the eraser bits came from blue pencils. 100-23 = <<100-23=77>>77% of the eraser bits came from red pencils. 77/100 = <<77/100=0.77>>0.77 of the eraser bits came from red pencils. 0.77*127 = <<0.77*127=98.79>>98.79 eraser bits came from red pencils. ### Answer: 98.79
Expected answer: 98
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: Angela's watch is fast by 262 minutes. 262+399=<<262+399=661>>661 minutes.
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?
InternLM-Math Base 7B:
Reasoning: 1891/61 = <<1891/61=30.99>>30.99 The period lasted 30.99 days, which is approximately 31 days.
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?
InternLM-Math Base 7B:
Reasoning: 266/497 = <<266/497=0.5365>>0.5365 ### Answer: 0.5365
Expected answer: 231
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 508-142 = <<508-142=366>>366 kg of flavoring was added to the chocolate.
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?
InternLM-Math Base 7B:
Reasoning: 327-4 = <<327-4=323>>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?
InternLM-Math Base 7B:
Reasoning: The profit gained from selling the watch is $402 - $261 = <<402-261=141>>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?
InternLM-Math Base 7B:
Reasoning: 4082/157 = <<4082/157=26>>26 ### 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?
InternLM-Math Base 7B:
|
Expected answer: 277
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 524-376 = <<524-376=148>>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?
InternLM-Math Base 7B:
Reasoning: 1190/35 = 33.7 The farmer has 33 plants. ### Answer: 33
Expected answer: 34
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 297-280 = <<297-280=17>>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?
InternLM-Math Base 7B:
Reasoning: 32 mice per day. 32*<<32*1504=48128>>48128 = 1504 mice. ### Answer: 48128
Expected answer: 47
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 440-325 = <<440-325=115>>115 ### 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?
InternLM-Math Base 7B:
Reasoning: 430-261 = <<430-261=169>>169 kg.
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?
InternLM-Math Base 7B:
Reasoning: 554-156 = <<554-156=398>>398 kilograms of the remaining cheese is not cheddar cheese. ### 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?
InternLM-Math Base 7B:
Expected answer: 362
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 8640/45 = <<8640/45=192>>192 Each kph of wind speed generates 192 kWh of electricity. ### Answer: 192
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?
InternLM-Math Base 7B:
|user| 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?
Expected answer: 112
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 201/298 = <<201/298=0.67>>0.67 0.67*298 = <<0.67*298=200.66>>200.66 ### Answer: 200.66
Expected answer: 97
Correct? No
Problem: A particular type of cucumber plant produces 242 cucumbers. If each plant has 22 fruits, how many plants are there?
InternLM-Math Base 7B:
Reasoning: 22/2 = <<22/2=11>>11 242/11 = <<242/11=22>>22 ### Answer: 22
Expected answer: 11
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: The city received 750-359 = <<750-359=391>>391 millimeters of rainfall in the second half of the monsoon season. ### 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?
InternLM-Math Base 7B:
Reasoning: The weight of the air inside the balloon is 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?
InternLM-Math Base 7B:
Reasoning: 434-179=<<434-179=255>>255 ### 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?
InternLM-Math Base 7B:
Reasoning: 631-362 = <<631-362=269>>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?
InternLM-Math Base 7B:
Reasoning: 280-8 = <<280-8=272>>272 liters of yellow paint. ### 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?
InternLM-Math Base 7B:
Reasoning: 419-132 = <<419-132=287>>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?
InternLM-Math Base 7B:
Reasoning: 147*4 = <<147*4=588>>588 ### 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?
InternLM-Math Base 7B:
Reasoning: John earns 4440/30 = <<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?
InternLM-Math Base 7B:
Reasoning: 3360/120 = <<3360/120=28>>28 The milk was collected for 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?
InternLM-Math Base 7B:
Reasoning: 380-81 = <<380-81=299>>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?
InternLM-Math Base 7B:
Expected answer: 210
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 41/2 = <<41/2=20.5>>20.5 76-41 = <<76-41=35>>35 ### Answer: 35
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?
InternLM-Math Base 7B:
Reasoning: 30/6690= <<30/6690=0.0045>>0.0045.
Expected answer: 223
Correct? No
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?
InternLM-Math Base 7B:
Expected answer: 99
Correct? No
Problem: In a garden, there are 62 beautiful butterflies. If 28 of them are painted lady butterflies, how many are not painted lady butterflies?
InternLM-Math Base 7B:
Reasoning: 28/2 = <<28/2=14>>14. 62-14 = <<62-14=48>>48. ### Answer: 48
Expected answer: 34
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 310/2 = <<310/2=155>>155 644-310 = <<644-310=334>>334 ### 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?
InternLM-Math Base 7B:
Expected answer: 272
Correct? No
Problem: A doll collector has 716 dolls in total. If 380 of those dolls are porcelain dolls, how many dolls are not porcelain?
InternLM-Math Base 7B:
Reasoning: 716-380 = <<716-380=336>>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?
InternLM-Math Base 7B:
Expected answer: 228
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 457 - 103 = <<457-103=354>>354 ### 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?
InternLM-Math Base 7B:
Reasoning: 264-234 = <<264-234=30>>30 ### 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?
InternLM-Math Base 7B:
Reasoning: 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?
InternLM-Math Base 7B:
Reasoning: 326-246 = <<326-246=80>>80 beach balls are in the other part. ### 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?
InternLM-Math Base 7B:
Reasoning: 9287/251 = <<9287/251=37>>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?
InternLM-Math Base 7B:
Reasoning: The farmer harvested 69+438 = <<69+438=507>>507 cucumbers in total. ### Answer: 507
Expected answer: 369
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 424-208 = <<424-208=216>>216 chairs are left in the warehouse to be loaded.
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?
InternLM-Math Base 7B:
Reasoning: The total miles he can run is increased by 19/1 = <<19/1=19>>19 miles per hour. His previous speed is 198-19 = <<198-19=179>>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?
InternLM-Math Base 7B:
Reasoning: 727-342 = <<727-342=385>>385 ### 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?
InternLM-Math Base 7B:
Reasoning: 385-230 = <<385-230=155>>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?
InternLM-Math Base 7B:
Reasoning: 357-289=<<357-289=68>>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?
InternLM-Math Base 7B:
Reasoning: 4572/36 = <<4572/36=128>>128. The zoo has 128 monkeys. ### Answer: 128
Expected answer: 127
Correct? No
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?
InternLM-Math Base 7B:
You are a mathematics teacher that solves all problems correctly and explains your reasoning. Write your final answer in the last line of your response. The last line should always be formatted as follows: "### Answer: <<your final answer here.>>".
Expected answer: 52
Correct? No
Problem: A luxurious watch costs $422. If the manufacturing cost is $200, how much is charged for brand value, sales profits, and other overheads?
InternLM-Math Base 7B:
Reasoning: The cost of the watch is 422-200 = <<422-200=222>>222. The cost of the watch is 222/422 = <<222/422=0.5>>0.5 of the selling price. The selling price of the watch is 0.5x200 = 0.5x422 = 0.5x(200+222) = 0.5x422+0.5x200 = 0.5x(422+200) = 0.5x(422+0.5x200) = 0.5x(200+222) = 0.5x(0.5x200+222) = 0.5x(0.5x(200+222)) = 0.5x(0.5x(0.5x200+222)) = 0.5x(0.5x(0.5x(0.5x200+222))). The cost of the watch is 0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x(0.5x
Expected answer: 222
Correct? No