Common Core Standard 5.OA.A.1
This standard covers the following:
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Problem: A sock company packages their socks in sets of 40. They have 2840 socks to package, and they currently have 93 packs already made. How many packs of socks will they have in total once all the socks have been packaged? Afterward, they received an another shipment of 70 packs of socks, but had to return 8 due to quality issues. How many packs of socks does the company have now?
Gemini-1.5 Flash:
Reasoning: The company needs to make 2840/40 = <<2840/40=71>>71 more packs of socks. In total, the company will have 71+93 = <<71+93=164>> 164 packs of socks. After the shipment, the company has 164+70 = <<164+70=234>> 234 packs of socks. After returning the 8 packs, the company has 234-8 = <<234-8=226>> 226 packs of socks. ### Answer: 226
Expected answer: 226
Correct? Yes
Problem: A gardener has a field where he planted 80 rose bushes, with each bush producing 30 roses. Before he is able to gather them, a storm blows away 43 roses. How many roses are remaining in the field?
Gemini-1.5 Flash:
Reasoning: The gardener had a total of 80 bushes * 30 roses/bush = 2400 roses. After the storm, 2400 roses - 43 roses = 2357 roses remain. ### Answer: 2357
Expected answer: 2357
Correct? Yes
Problem: The gardener realizes afterwards that he initially miscounted the rose bushes in the field. It turns out there were not 80, but 84 rose bushes instead, each still producing 30 roses, and the storm still managed to blow away 43 roses. How many roses does he actually have remaining in the field after the correction?
Gemini-1.5 Flash:
Reasoning: The gardener actually had 84 bushes * 30 roses/bush = 2520 roses. After the storm, 2520 roses - 43 roses = 2477 roses remain. ### Answer: 2477
Expected answer: 2477
Correct? Yes
Problem: A dolphin can leap (3 + 59) feet high. If a dolphin completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day?
Gemini-1.5 Flash:
Reasoning: First, we need to find the total height of each leap: 3 + 59 = 62 feet. Then, multiply the height of each leap by the number of leaps: 62 feet/leap * 89 leaps = 5518 feet. ### Answer: 5518
Expected answer: 5518
Correct? Yes
Problem: Continuing from the original scenario, suppose we made a mistake in our measurements and realized that the dolphin, in fact, can leap (41 + 59) feet high instead of (3 + 59) feet. Considering this, if the dolphin still completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day now?
Gemini-1.5 Flash:
Reasoning: First, we need to find the total height of each leap: 41 + 59 = 100 feet. Then, multiply the height of each leap by the number of leaps: 100 feet/leap * 89 leaps = 8900 feet. ### Answer: 8900
Expected answer: 8900
Correct? Yes
Problem: A candy store starts the day with 81 pieces of candy. They receive a delivery adding another 6 candies, but they sell 61 throughout the day. How many pieces of candy does the store have left?
Gemini-1.5 Flash:
Reasoning: After the delivery, the store has 81+6 = 87 candies. They then sell 61 candies, leaving them with 87-61 = 26 candies. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Continuing from the original scenario, suppose the candy store started the day with 81 pieces of candy and received a delivery adding 6, but this time, they only sold 7 candies throughout the day. How many pieces of candy does the store now have left?
Gemini-1.5 Flash:
Reasoning: After the delivery, the store has 81 + 6 = 87 candies. They then sell 7 candies, leaving them with 87 - 7 = 80 candies. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. If they evenly distribute the skates over 82 separate stores, how many pairs of ice skates does each store receive?
Gemini-1.5 Flash:
Reasoning: To find out how many pairs of ice skates each store receives, we need to divide the total number of skates by the number of stores: 6806 skates / 82 stores = 83 skates per store. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. After reconsideration, they decided to distribute the skates over 61 stores instead of the original 82. How many pairs of ice skates does each store receive now?
Gemini-1.5 Flash:
Reasoning: To find out how many pairs of ice skates each store receives now, we need to divide the total number of skates by the new number of stores: 6806 skates / 61 stores = 111.54 skates per store. Since you can't have half a pair of skates, we round down to the nearest whole number. ### Answer: 111
Expected answer: 6806/61
Correct? No
Problem: If a stationery store has 40 white erasers and 74 pink erasers, how many erasers are there in total?
Gemini-1.5 Flash:
To find the total number of erasers, we simply add the number of white erasers and pink erasers. Total erasers = 40 white erasers + 74 pink erasers = 114 erasers ### Answer: 114
Expected answer: 114
Correct? Yes
Problem: Suppose instead that the stationery store had 40 white erasers and 37 pink erasers initially. How many erasers would be there in total in that case?
Gemini-1.5 Flash:
In this case, the total number of erasers would be: Total erasers = 40 white erasers + 37 pink erasers = 77 erasers ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: A company manufactures a batch of pens, with each batch containing 39 pens. If the company has produced 10 such batches, how many pens does the company have now?
Gemini-1.5 Flash:
Reasoning: If each batch contains 39 pens, and the company has produced 10 batches, then they have produced 39*10 = 390 pens. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: The company found an error in their manufacturing record and realized they actually produced 43 batches of pens, not 10. Each batch still contained 39 pens. How many pens did the company actually produce?
Gemini-1.5 Flash:
Reasoning: If the company actually produced 43 batches, and each batch contains 39 pens, then they produced 43*39 = 1677 pens. ### Answer: 1677
Expected answer: 1677
Correct? Yes
Problem: A dairy farm has 33 cows. Each cow gives (99 + 58) litres of milk per day. How many litres of milk does the farm produce in a day?
Gemini-1.5 Flash:
Reasoning: Each cow gives 99+58 = <<99+58=157>>157 liters of milk per day. The farm produces 33*157 = <<33*157=5181>>5181 liters of milk in a day. ### Answer: 5181
Expected answer: 5181
Correct? Yes
Problem: Suppose that instead of each cow producing (99 + 58) litres of milk per day as previously stated, they actually produce only (5 + 58) litres of milk daily. How many litres of milk would the farm produce from cows in this case?
Gemini-1.5 Flash:
Reasoning: Each cow produces 5 + 58 = <<5+58=63>>63 liters of milk per day. The farm produces 33 * 63 = <<33*63=2079>>2079 liters of milk in a day. ### Answer: 2079
Expected answer: 2079
Correct? Yes
Problem: A farmer's grape vine produces 3344 grapes, and he has 38 equally productive grape vines. How many grapes does each vine produce?
Gemini-1.5 Flash:
Reasoning: The farmer's vines produce a total of 3344 grapes, and he has 38 vines. Each vine produces 3344 / 38 grapes. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: In the original scenario, a grape vine produces 3344 grapes and the farmer has 38 equally productive grape vines. Now consider a new situation. Let's say the farmer had 75 equally productive vines instead of 38. How many grapes would each vine have produced now?
Gemini-1.5 Flash:
Reasoning: The farmer's vines produce a total of 3344 grapes. If he had 75 vines, each vine would produce 3344 / 75 grapes. ### Answer: 44.59
Expected answer: 3344/75
Correct? No
Problem: Yesterday, a region experienced a heavy snowfall of 93 cm and today it received additional 29 cm of snow. However, 20 cm of snow has melted. How much snow is now left?
Gemini-1.5 Flash:
Reasoning: The total snowfall was 93 cm + 29 cm = <<93+29=122>> 122 cm. After 20 cm melted, there is 122 cm - 20 cm = <<122-20=102>> 102 cm of snow left. ### Answer: 102 cm
Expected answer: 102
Correct? Yes
Problem: Considering the previous problem, suppose the region experienced a heavier snowfall of 90 cm (instead of 29 cm) today, while the 20 cm melt remained the same. How might this change the amount of snow now left?
Gemini-1.5 Flash:
Reasoning: Let's calculate the total snowfall if the region received 90 cm today instead of 29 cm. Total snowfall would be 93 cm + 90 cm = <<93+90=183>> 183 cm. After 20 cm melted, the amount of snow left would be 183 cm - 20 cm = <<183-20=163>> 163 cm. ### Answer: The amount of snow left would be 163 cm.
Expected answer: 163
Correct? Yes
Problem: A farmer has 3069 grapes. If he decides to put 33 grapes in each bag, he will have a certain number of bags. However, the farmer eats 13 bags of grapes and also gives away 50 bags of grapes. How many bags of grapes does the farmer have left?
Gemini-1.5 Flash:
Reasoning: The farmer can make 3069/33 = <<3069/33=93>> 93 bags of grapes. The farmer eats 13 bags and gives away 50 bags for a total of 13+50 = <<13+50=63>> 63 bags. The farmer has 93-63 = <<93-63=30>> 30 bags left. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Following the previous scenario, suppose the farmer decides to change his approach and now puts 25 grapes in each bag instead of 33. He again eats 13 bags and gives away 50 bags. How many bags of grapes does the farmer have now?
Gemini-1.5 Flash:
Reasoning: The farmer can now make 3069/25 = <<3069/25=122.76>> 122 bags of grapes. Since the farmer cannot make a fraction of a bag, we round down to 122 bags. The farmer eats 13 bags and gives away 50 bags for a total of 13+50 = <<13+50=63>> 63 bags. The farmer has 122-63 = <<122-63=59>> 59 bags left. ### Answer: 59
Expected answer: 1494/25
Correct? No
Problem: A giraffe's neck has a length of 275 centimeters. If one meter is made up of 5 centimeters, what is the length of the giraffe's neck in meters?
Gemini-1.5 Flash:
Reasoning: Since one meter is equal to 5 centimeters, we need to find out how many times 5 goes into 275. This is the same as dividing 275 by 5. 275 divided by 5 equals 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: After measuring the giraffe's neck in meters, the zookeeper re-evaluates and discovers that his conversion tool was using an incorrect scale, where one meter actually equals 43 centimeters, not 5 centimeters. Given this new information, what is the length of the giraffe's neck in meters?
Gemini-1.5 Flash:
Reasoning: We now know that one meter is equal to 43 centimeters. To find out the length of the giraffe's neck in meters, we need to divide the length of the neck in centimeters by the number of centimeters in one meter. This means we divide 275 centimeters by 43 centimeters per meter. 275 divided by 43 is approximately 6.39. ### Answer: 6.39
Expected answer: 275/43
Correct? No
Problem: A furniture store had 79 chairs in stock. They received a shipment adding 9 more chairs, but then sold 45 chairs in a single day. How many chairs are now in the store?
Gemini-1.5 Flash:
Reasoning: After the shipment, the store had 79 + 9 = 88 chairs. After selling chairs, the store had 88 - 45 = 43 chairs. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Following from the previous scenario, consider instead that the furniture store originally had 79 chairs, but this time, they only received a shipment adding 4 more chairs before selling 45 chairs in a single day. How many chairs are now in the store under this altered situation?
Gemini-1.5 Flash:
Reasoning: After the shipment, the store had 79 + 4 = 83 chairs. After selling chairs, the store had 83 - 45 = 38 chairs. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: A teddy bear factory can usually produce 91 teddy bears per day. However, today their capacity increased by 1 due to new equipment. A charity has also just donated materials to produce 15 additional teddy bears. How many total teddy bears can the factory produce today?
Gemini-1.5 Flash:
Reasoning: The factory's capacity increased to 91 + 1 = 92 teddy bears per day. With the donated materials, the factory can produce an additional 15 teddy bears. Therefore, the factory can produce a total of 92 + 15 = 107 teddy bears today. ### Answer: 107
Expected answer: 107
Correct? Yes
Problem: A giraffe needs 67 leaves to eat at breakfast and 33 more in the afternoon. How many leaves does the giraffe need for a single day?
Gemini-1.5 Flash:
Reasoning: The giraffe eats 67 + 33 = <<67+33=100>>100 leaves in the afternoon. Therefore, the giraffe needs 100 leaves for a single day. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: If you can drive 304 miles on a tank of gas and the tank is divided into 4 equal parts, how many miles can you drive on one part of the tank?
Gemini-1.5 Flash:
Reasoning: Since the tank is divided into 4 equal parts, you can drive 304/4 = <<304/4=76>> miles on one part of the tank. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If you can drive 304 miles on a full tank of gas which is divided into 4 equal parts, you've found that you can drive a certain distance on one part of the tank. If you refill this part of the tank 47 times, how many miles in total could you potentially drive?
Gemini-1.5 Flash:
Reasoning: We already know that you can drive 76 miles on one part of the tank. If you refill that part 47 times, you could potentially drive 76*47 = <<76*47=3572>> miles. ### Answer: 3572
Expected answer: 3572
Correct? Yes
Problem: If instead of a tank which can hold enough gas to drive 304 miles, you have a smaller tank which holds enough gas to drive 304 miles, and you divide the tank into 91 equal parts, how many miles can you drive on one part of the tank?
Gemini-1.5 Flash:
Reasoning: If you divide a tank holding enough gas to drive 304 miles into 91 equal parts, you can drive 304/91 = <<304/91=3.34>> miles on one part of the tank. ### Answer: 3.34
Expected answer: 304/91
Correct? No
Problem: A shop sells ice skates at 25 dollars a pair. They are having a sale where all ice skates are increased by 8 dollars. How much would a pair of ice skates cost during the sale?
Gemini-1.5 Flash:
Reasoning: The sale increases the price by 8 dollars, so the new price is 25+8 = 33 dollars. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In the previous scenario, the shop sells ice skates at 25 dollars a pair on sale. After the increase, a pair of ice skates is priced at 33 dollars. If a customer only has 70 dollars, how much money will they have left after buying a pair of ice skates during the sale?
Gemini-1.5 Flash:
Reasoning: The customer would have 70-33 = 37 dollars left after buying the ice skates. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In the previous scenario, the price of ice skates was 25 dollars a pair before the price increase. Now, consider a scenario where the original price of the ice skates was 79 dollars a pair instead of 25 dollars. If the price was increased by the same amount, 8 dollars, how much would a pair of ice skates cost now?
Gemini-1.5 Flash:
Reasoning: The sale increases the price by 8 dollars, so the new price is 79+8 = 87 dollars. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: A river flows at a speed of 96 miles per day. How far would it have travelled in 31 days?
Gemini-1.5 Flash:
Reasoning: To find the total distance traveled, we multiply the speed by the time. The river travels 96 miles per day for 31 days, so it travels a total of 96 * 31 miles. ### Answer: 2976 miles
Expected answer: 2976
Correct? Yes
Problem: Continuing from the previous problem, if the river also carried a piece of debris that got an additional 94 miles downstream due to the wind in those 31 days, how far would the piece of debris have traveled in total?
Gemini-1.5 Flash:
Reasoning: The river traveled 2976 miles in 31 days. The piece of debris traveled an additional 94 miles due to the wind. Therefore, the total distance the debris traveled is 2976 + 94 miles. ### Answer: 3070 miles
Expected answer: 3070
Correct? Yes
Problem: Continuing from the previous problem, suppose the river flow was less than initially thought. Rather than flowing at a speed of 96 miles per day, it actually flows at a speed of 12 miles per day. How far would the river have traveled in 31 days at this slower speed?
Gemini-1.5 Flash:
Reasoning: If the river flows at 12 miles per day, then in 31 days it would have traveled 12 * 31 miles. ### Answer: 372 miles
Expected answer: 372
Correct? Yes
Problem: A manufacturer produces 46 blankets each day. After 43 days, an additional 42 blankets were donated to the manufacturer. How many blankets does the manufacturer now have in total?
Gemini-1.5 Flash:
Reasoning: After 43 days, the manufacturer produced 46 blankets/day * 43 days = 1978 blankets. Adding the donated blankets, the manufacturer now has 1978 blankets + 42 blankets = 2020 blankets. ### Answer: 2020
Expected answer: 2020
Correct? Yes
Problem: A particular star emits light at a velocity of 1095 miles per second. If this velocity were divided by 73, what would be the resulting speed of the light emitted by the star?
Gemini-1.5 Flash:
Reasoning: To find the resulting speed, we need to divide the original speed by 73. Calculation: 1095 miles per second / 73 = 15 miles per second. ### Answer: 15 miles per second.
Expected answer: 15
Correct? Yes
Problem: Following our previous scenario, let's consider that instead of dividing by 73, the velocity of the star's light was divided by 42. What would be the resulting speed of the light emitted by the star, given this new calculation?
Gemini-1.5 Flash:
Reasoning: To find the resulting speed, we need to divide the original speed by 42. Calculation: 1095 miles per second / 42 = 26.07 miles per second. ### Answer: 26.07 miles per second.
Expected answer: 365/14
Correct? No
Problem: A lemon tree produces 99 lemons every year. After 51 years, a massive wind storm passes through the area and removes 84 lemons from the total number of lemons the tree produced. How many lemons did the lemon tree produce after the wind storm?
Gemini-1.5 Flash:
Reasoning: The tree produced 99 * 51 = <<99 * 51 = 5049>>5049 lemons in 51 years. After the storm, the tree had produced 5049 - 84 = <<5049 - 84 = 4965>> lemons. ### Answer: 4965
Expected answer: 4965
Correct? Yes
Problem: After 40 years instead of 51, a massive wind storm passes through the area removing 84 lemons from the total number of lemons the tree produced. Given this earlier timing of the wind storm, how many lemons did the lemon tree produce after the wind storm?
Gemini-1.5 Flash:
Reasoning: The tree produced 99 * 40 = <<99*40=3960>>3960 lemons in 40 years. After the storm, the tree had produced 3960 - 84 = <<3960 - 84 = 3876>> lemons. ### Answer: 3876
Expected answer: 3876
Correct? Yes
Problem: John had 4 packs of building blocks and each pack contains 89 blocks. After losing 72 blocks while playing, how many blocks does John have now?
Gemini-1.5 Flash:
Reasoning: John has 4 x 89 = 356 blocks in total. After losing 72 blocks, John has 356 - 72 = 284 blocks left. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: Instead of the initial 89 blocks in each pack, John found out that 41 blocks were in each of his 4 packs. After losing 72 blocks, how many blocks does John have now?
Gemini-1.5 Flash:
Reasoning: John has 4 x 41 = 164 blocks in total. After losing 72 blocks, John has 164 - 72 = 92 blocks left. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: On a particular beach, 5544 seashells are evenly distributed across 72 meters of sand. How many seashells are there on average for every meter of the beach?
Gemini-1.5 Flash:
Reasoning: To find the average number of seashells per meter, we need to divide the total number of seashells by the total length of the beach. Therefore, the average number of seashells per meter is 5544 seashells / 72 meters = <<5544/72=77>> 77 seashells per meter. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a revised count, it was discovered that the seashells were actually spread over 92 meters of the beach instead of 72 meters as previously thought. Now, how many seashells are there on average for each meter of the beach?
Gemini-1.5 Flash:
Reasoning: With the revised length of the beach, we now need to divide the total number of seashells by the new length to find the average. This means 5544 seashells / 92 meters = <<5544/92=60>> 60 seashells per meter. ### Answer: 60
Expected answer: 1386/23
Correct? No
Problem: There are 82 animals in the zoo. If 67 animals are birds, how many animals in the zoo are not birds?
Gemini-1.5 Flash:
Reasoning: To find out how many animals are not birds, we subtract the number of birds from the total number of animals: 82 - 67 = 15. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a revision to the previous count, it turns out there were only 38 birds instead of 67 at the zoo originally. Given this, how many animals in the zoo were not birds?
Gemini-1.5 Flash:
Reasoning: To find out how many animals are not birds, we subtract the number of birds from the total number of animals: 82 - 38 = 44. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A construction company builds 36 houses every month. If they kept this pace up for 46 months, how many houses would they have built over this time?
Gemini-1.5 Flash:
Reasoning: If the construction company builds 36 houses every month, over 46 months, they would build a total of 36 * 46 = <<36*46=1656>> houses. ### Answer: 1656
Expected answer: 1656
Correct? Yes
Problem: In the same construction company's new plan, instead of building 36 houses they are planning to build 75 houses a month. If they managed to keep up this pace for the same period of 46 months, how many houses would they have built in total with this increased productivity?
Gemini-1.5 Flash:
Reasoning: If the company builds 75 houses every month, over 46 months, they would build a total of 75 * 46 = <<75*46=3450>> houses. ### Answer: 3450
Expected answer: 3450
Correct? Yes
Problem: A window factory has a goal to produce 1767 windows within a month. If the factory operates 31 days a month, how many windows does it need to produce each day to meet its goal?
Gemini-1.5 Flash:
To find out how many windows the factory needs to produce each day, we divide the total goal by the number of days in the month. The calculation is: 1767 windows / 31 days = 57 windows per day. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Continuing from the previous situation, suppose the factory decided to cut down its monthly goal and now aims to produce only 50 windows in a month. Based on this new target, how many windows does the factory need to produce each day if it still operates for 31 days in a month?
Gemini-1.5 Flash:
To calculate the number of windows the factory needs to produce each day with the new goal, we divide the new monthly target by the number of days in the month. The calculation is: 50 windows / 31 days = 1.61 windows per day (approximately). Since the factory can't produce fractions of windows, it would need to produce **1 window each day** to meet its new goal. ### Answer: 1
Expected answer: 50/31
Correct? No
Problem: A TV series has just been renewed for its third season. The 1st season had 66 episodes, the 2nd season had 67 episodes, and now 8 episodes of the 3rd season have been aired. How many episodes have aired in total?
Gemini-1.5 Flash:
Reasoning: The total number of episodes aired in the first two seasons is 66 + 67 = 133 episodes. Adding the 8 episodes from the third season, the total number of aired episodes is 133 + 8 = 141 episodes. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: After the 8 episodes of the 3rd season were aired, the TV series continued to air more episodes. In the remaining part of the 3rd season, they aired 80 episodes. They have also just finished airing all the 82 episodes of the 4th season. How many episodes have aired in total now?
Gemini-1.5 Flash:
Reasoning: We already know that 141 episodes aired in the first three seasons. Adding the 80 episodes from the rest of the third season, the total number of aired episodes becomes 141 + 80 = 221. Adding the 82 episodes from the fourth season, the total number of episodes aired is 221 + 82 = 303. ### Answer: 303
Expected answer: 303
Correct? Yes
Problem: Let's imagine that in the first two seasons of the TV series there were fewer episodes than we initially thought. The 1st season had 66 episodes and the second season only had 8. After 8 more episodes of the 3rd season aired, how many total episodes have aired so far?
Gemini-1.5 Flash:
Reasoning: The total number of episodes aired in the first two seasons is 66 + 8 = 74 episodes. Adding the 8 episodes from the third season, the total number of aired episodes is 74 + 8 = 82 episodes. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: At the end of a rainbow, a leprechaun is guarding a pot of gold coins. He adds 39 gold coins to the pot, then another 47. However, while he is distracted, a fairy takes away 8 gold coins from the pot. The new total of coins becomes a code to a magical lock. The code must be enhanced by adding 48 to it only once, and then multiplied by 24. What is the final value to unlock the magical lock?
Gemini-1.5 Flash:
Reasoning: 1. The leprechaun adds 39 + 47 = 86 coins. 2. The fairy takes away 8 coins, leaving 86 - 8 = 78 coins. 3. Adding 48 to the code gives us 78 + 48 = 126. 4. Multiplying by 24 gives us 126 * 24 = 3024. ### Answer: 3024
Expected answer: 3024
Correct? Yes
Problem: The leprechaun realizes that there was a mistake in the first part of his magical lock code. Instead of multiplying the initial set of gold coin count by 24 after adding 48, he should have multiplied it by 29. Given this new information, what should be the correct initial value to unlock the magical lock?
Gemini-1.5 Flash:
Reasoning: 1. We know the final code should be multiplied by 29. 2. We also know the fairy took away 8 coins, and the leprechaun added 86 coins initially. 3. Let's represent the initial value of the code as "x". 4. After the fairy takes away the coins, the code becomes (x + 86 - 8). 5. The leprechaun then adds 48 to this code, making it ((x + 86 - 8) + 48). 6. The final step is to multiply this by 29. Therefore, the equation is: 29 * (((x + 86 - 8) + 48)) = Final code To find the initial value (x), we need to work backward: 1. We know the final code should be divisible by 29. 2. Divide the final code by 29 to get the value before multiplication: Final code / 29. 3. Subtract 48 from the result: (Final code / 29) - 48. 4. Add 8 and subtract 86 to find the initial value: ((Final code / 29) - 48) + 8 - 86 = x. Since we don't know the final code, we cannot determine the exact initial value. We need the final code to solve for "x". ### Answer: We need the final code to determine the initial value.
Expected answer: 3654
Correct? No
Problem: John has 98 dollars in his wallet. He found a 35-dollar bill on the ground and added it to his wallet. However, he then spent 38 dollars on lunch. How much money does he have left in his wallet now?
Gemini-1.5 Flash:
Reasoning: After finding the money, John has 98 + 35 = 133 dollars in his wallet. After buying lunch, he has 133 - 38 = 95 dollars left. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Following the previous scenarios, let's reconsider the scenario like this: suppose the amount that John decided to spend on lunch was not 38 dollars, but actually 68 dollars. How much money does he have left in his wallet after this change?
Gemini-1.5 Flash:
Reasoning: After finding the money, John has 98 + 35 = 133 dollars in his wallet. After buying lunch, he has 133 - 68 = 65 dollars left. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: A bottling factory fills 3840 bottles every hour. How many bottles does it fill every minute?
Gemini-1.5 Flash:
Reasoning: There are 60 minutes in an hour. So the factory fills 3840 / 60 = <<3840/60=64>> 64 bottles every minute. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the bottling factory, an upgrade to the machines increases the manufacturing speed by 19 bottles per minute. After the upgrade, how many bottles does the factory fill every minute?
Gemini-1.5 Flash:
Reasoning: After the upgrade, the factory fills 64 + 19 = <<64+19=83>> 83 bottles every minute. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: In the bottling factory, imagine that before the upgrade, the machinery was even slower, filling bottles at a rate of 3840 bottles every 18 hours, instead of 60 minutes. How many bottles were being filled every hour in that case?
Gemini-1.5 Flash:
Reasoning: To find the rate per hour, we need to divide the total bottles filled by the number of hours. Therefore, the factory was filling 3840 / 18 = <<3840/18=213.3333333333333>> 213.33 bottles per hour. It's important to note that we can't have a fraction of a bottle, so we can say the factory filled **213 bottles per hour** because we're rounding down to the nearest whole number. ### Answer: 213
Expected answer: 640/3
Correct? No
Problem: In a mystical world, a dragon has 1702 treasures in his cave. If he divides these treasures among his 37 faithful gnomes and then decides to add another 49 treasures to each one, how many treasures does each gnome now have?
Gemini-1.5 Flash:
Here's how to solve the problem: 1. **Divide the initial treasures:** The dragon initially gives each gnome 1702 / 37 = 46 treasures. 2. **Add the extra treasures:** Each gnome receives an additional 49 treasures, so they now have 46 + 49 = 95 treasures. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: In the previous scenario, imagine that instead of adding 49 treasures to each gnome's share, the dragon decided to add 79 treasures. How many treasures does each gnome now have?
Gemini-1.5 Flash:
We know from the previous calculation that each gnome initially received 46 treasures. Now, the dragon adds 79 more treasures to each gnome's share. Therefore, each gnome now has 46 + 79 = 125 treasures. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: If a frog can hop 192 inches in total and on average, hops 6 inches per single leap, how many leaps does it take for the frog to reach the end of its journey?
Gemini-1.5 Flash:
Reasoning: To find out how many leaps the frog takes, we need to divide the total distance by the length of each leap. So, we divide 192 inches by 6 inches per leap: 192 / 6 = 32 leaps. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Continuing from the previous scenario, let's say the frog has increased its leaping ability and can now hop 83 inches in total with an average of 6 inches per leap. How many leaps does it take for the frog to complete this new journey?
Gemini-1.5 Flash:
Reasoning: We follow the same logic as before, dividing the total distance by the length of each leap. Therefore, 83 inches divided by 6 inches per leap equals 83/6 = 13.83 leaps. Since we can't have a fraction of a leap, we round up to the nearest whole number. ### Answer: 14
Expected answer: 83/6
Correct? No
Problem: A cheese factory produces 5865 kg of cheese evenly over 85 days. How much cheese does the factory produce each day?
Gemini-1.5 Flash:
Reasoning: To find the amount of cheese produced each day, we need to divide the total cheese production by the number of days. The factory produces 5865 kg / 85 days = <<5865/85=69>> 69 kg of cheese each day. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Continuing with the scenario of the cheese factory, let's say the factory now operates 31 days a month rather than 85 days, with the overall cheese production still being 5865 kg. How much cheese would now be produced each day?
Gemini-1.5 Flash:
Reasoning: Since the total cheese production remains the same, we need to divide the total production by the new number of operating days. The factory now produces 5865 kg / 31 days = <<5865/31=189>> 189 kg of cheese each day. ### Answer: 189
Expected answer: 5865/31
Correct? No
Problem: A cucumber farm yields 2592 cucumbers per 54 plants. If a section of the farm grows 38 plants, subtracting the 74 cucumbers that were damaged, how many cucumbers are available for sale?
Gemini-1.5 Flash:
Reasoning: The farm yields 2592/54 = <<2592/54=48>>48 cucumbers per plant. A section of the farm produces 48*38 = <<48*38=1824>>1824 cucumbers. Subtracting the damaged cucumbers, the farm has 1824-74 = <<1824-74=1750>>1750 cucumbers available for sale. ### Answer: 1750
Expected answer: 1750
Correct? Yes
Problem: In a new scenario, where an exact amount of 1 cucumber is damaged instead of 74 in the section growing 38 plants, how many cucumbers would now be available for sale from that section?
Gemini-1.5 Flash:
Reasoning: We know the section with 38 plants produces 1824 cucumbers (from the previous calculation). Subtracting the single damaged cucumber, the farm has 1824-1 = <<1824-1=1823>> 1823 cucumbers available for sale. ### Answer: 1823
Expected answer: 1823
Correct? Yes
Problem: A toy car battery lasts 16 hours. However, if the car's lights are used, the battery life decreases by the equivalent of 36 divided by 9 hours. Assuming the toy car is run with the lights on for 12 full weeks, each week considered to be 60 hours, how long did the battery last?
Gemini-1.5 Flash:
Here's how to solve this problem step-by-step: 1. **Calculate the battery life reduction:** 36 divided by 9 hours is 36/9 = 4 hours. 2. **Calculate the total time the car is run:** 12 weeks * 60 hours/week = 720 hours. 3. **Calculate the total battery life reduction:** 720 hours * 4 hours/hour = 2880 hours. 4. **Calculate the remaining battery life:** The original battery life is 16 hours, and it's reduced by 2880 hours, so the remaining battery life is 16 - 2880 = -2864 hours. 5. **Interpret the result:** A negative battery life is not possible. This indicates that the battery would have been completely drained long before the 12 weeks are over. Therefore, the battery wouldn't have lasted even for the first week. ### Answer: The battery wouldn't have lasted for the entire 12 weeks.
Expected answer: 8640
Correct? No
Problem: A hand-crafted leather wallet costs 2407 dollars. If you can pay this in 83 installments, how much money would each installment be?
Gemini-1.5 Flash:
Reasoning: To find the cost of each installment, divide the total cost by the number of installments: $2407 / 83 = $29.01 ### Answer: $29.01
Expected answer: 29
Correct? No
Problem: A big grizzly bear feasts on 2726 ounces of salmon during a 58-day summer period. How much salmon does the bear eat each day on average?
Gemini-1.5 Flash:
To find the average amount of salmon the bear eats each day, we need to divide the total amount of salmon eaten by the number of days. So, the bear eats an average of 2726 ounces / 58 days = <<2726/58=47>>47 ounces of salmon each day. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: In the original problem, the big grizzly bear ate 2726 ounces of salmon over a 58-day summer period. However, what would have been the daily average if the bear had eaten the same total amount of salmon but over a shorter 50-day period instead?
Gemini-1.5 Flash:
If the bear had eaten the same amount of salmon (2726 ounces) over a shorter 50-day period, we would need to recalculate the daily average. To find the new daily average, we divide the total amount of salmon eaten by the new number of days: 2726 ounces / 50 days = <<2726/50=54.52>>54.52 ounces per day. ### Answer: 54.52
Expected answer: 1363/25
Correct? Yes
Problem: A farmer has two patches of land. One patch yields 26 carrots and the other yields 16 carrots. If every day for 77 days, the farmer collects the same amount of carrots, how many carrots has the farmer collected in total?
Gemini-1.5 Flash:
Reasoning: The farmer collects 26+16 = <<26+16=42>>42 carrots per day. Over 77 days, the farmer collects 42*77 = <<42*77=3234>>3234 carrots. ### Answer: 3234
Expected answer: 3234
Correct? Yes
Problem: Let's consider the farmer's situation again. What if, instead of 77 days, the farmer only collected carrots from his patches of land for a period of 22 days. How many total carrots would he have collected from his patches during this time?
Gemini-1.5 Flash:
Reasoning: The farmer collects 26+16 = <<26+16=42>>42 carrots per day. Over 22 days, the farmer collects 42*22 = <<42*22=924>>924 carrots. ### Answer: 924
Expected answer: 924
Correct? Yes
Problem: A clothes store had 71 pairs of pants in stock at the beginning of the week. They received an additional shipment of 39 pairs, but then sold 54 pairs. How many pairs of pants does the store have in stock now?
Gemini-1.5 Flash:
Reasoning: After the shipment, the store had 71 + 39 = <<71 + 39 = 110>> 110 pairs of pants. After selling some, the store has 110 - 54 = <<110 - 54 = 56>> 56 pairs of pants left in stock. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: A chef uses 483g of sugar to make 7 of her special cakes. How much sugar does she use for each cake?
Gemini-1.5 Flash:
Reasoning: The chef uses 483g/7 = 69g of sugar for each cake. ### Answer: 69g
Expected answer: 69
Correct? Yes
Problem: In the next batch, the chef decided to add an extra 25g of sugar to her special cake recipe to make it sweeter. How much sugar does she use now for each cake?
Gemini-1.5 Flash:
Reasoning: The chef now uses 69g + 25g = 94g of sugar for each cake. ### Answer: 94g
Expected answer: 94
Correct? Yes
Problem: After receiving some feedback, the chef used less sugar in her next batch of cakes. She used only 65g for seven cakes. How much sugar does she use now for each cake?
Gemini-1.5 Flash:
Reasoning: The chef uses 65g/7 = 9.29g (rounded to two decimal places) of sugar for each cake. ### Answer: 9.29g
Expected answer: 65/7
Correct? No
Problem: A kite maker has 41 blue, 63 red, and 57 green kites. If they give away 98 kites and create an additional 3 kites, how many kites does the maker have now?
Gemini-1.5 Flash:
Reasoning: The kite maker has a total of 41+63+57 = <<41+63+57=161>>161 kites. After giving away 98 kites, the maker has 161-98 = <<161-98=63>>63 kites left. After making 3 more kites, the maker has 63+3 = <<63+3=66>>66 kites. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up with the earlier situation of the kite maker who had 41 blue, 63 red, and 57 green kites, gave away 98 kites, and created an additional 3 kites: If the kite maker decided to ramp up production and multiply their current inventory by 18, then add the original inventory to this increased production, how many kites would the they have now?
Gemini-1.5 Flash:
Reasoning: The kite maker currently has 66 kites (as calculated in the previous problem). Multiplying this number by 18 gives us 66 * 18 = <<66*18=1188>>1188 kites. Adding the original inventory of 161 kites to this gives 1188 + 161 = <<1188+161=1349>>1349 kites. ### Answer: 1349
Expected answer: 1254
Correct? No
Problem: After the kite maker gave away some kites and made new ones, let's change the circumstances a bit. Instead of giving away 98 kites, they only gave away 19 kites. Taking into account that they still made an additional 3 kites, how many kites does the maker have now?
Gemini-1.5 Flash:
Reasoning: The kite maker started with 41 + 63 + 57 = 161 kites. After giving away 19 kites, they have 161 - 19 = 142 kites left. After making 3 more kites, they have 142 + 3 = 145 kites. ### Answer: 145
Expected answer: 145
Correct? Yes
Problem: A teddy bear company produces 7644 teddy bears in a span of 91 days. How many teddy bears does the company approximately makes each day?
Gemini-1.5 Flash:
Reasoning: To find the approximate number of teddy bears made each day, we can divide the total number of teddy bears produced by the number of days. 7644 teddy bears / 91 days = approximately 84 teddy bears per day. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After reviewing their production numbers, the teddy bear company realized that they actually produce 7644 teddy bears in a span of 50 days, not 91 days. How many teddy bears does the company approximately makes each day now?
Gemini-1.5 Flash:
Reasoning: To find the approximate number of teddy bears made each day, we can divide the total number of teddy bears produced by the number of days. 7644 teddy bears / 50 days = approximately 153 teddy bears per day. ### Answer: 153
Expected answer: 3822/25
Correct? No
Problem: A train travels at a speed of 68 mph but due to certain restrictions, it had to slow down to 28 mph. Considering the travel time of 21 hours, calculate the impact on the total distance traveled by the train.
Gemini-1.5 Flash:
Here's how to calculate the impact on the total distance traveled: **1. Calculate the distance traveled at the original speed:** * Distance = Speed x Time * Distance = 68 mph x 21 hours = 1428 miles **2. Calculate the distance traveled at the reduced speed:** * We need to figure out how long the train traveled at 28 mph. Since the total travel time was 21 hours, let's assume the train traveled at the slower speed for 'x' hours. This means it traveled at 68 mph for (21 - x) hours. * We don't have enough information to determine the exact value of 'x'. We need to know either the total distance traveled or the time spent at the slower speed. **3. Calculate the impact:** * To determine the impact, we need to know how much shorter the total distance traveled would be if the train traveled at the reduced speed for the entire 21 hours. **Without knowing how long the train traveled at the reduced speed, we can only calculate the potential impact:** * Distance at reduced speed = 28 mph x 21 hours = 588 miles * Potential impact = 1428 miles - 588 miles = 840 miles **Conclusion:** The potential impact on the total distance traveled is a reduction of 840 miles if the train had traveled at the slower speed for the entire 21 hours. However, without knowing the time spent at the reduced speed, we cannot calculate the exact impact.
Expected answer: 840
Correct? Yes
Problem: An alien spacecraft traveled 95 light-years to reach Earth, but had to stop 70 light-years along the way at a space buoy for refueling. How many light-years did it travel after refueling to reach Earth?
Gemini-1.5 Flash:
Reasoning: The alien spacecraft had already traveled 70 light-years when it stopped at the buoy. So to find out how far it traveled *after* refueling, we subtract that distance from the total distance: 95 light-years - 70 light-years = 25 light-years. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: The alien spaceship initially traveled 95 light-years to reach Earth. But let's consider a scenario where they could only stop 60 light-years along the way at a space buoy for refueling instead of 70 light-years. In that case, how many light-years would the spaceship have to travel after refueling to reach Earth?
Gemini-1.5 Flash:
Reasoning: The alien spacecraft traveled a total of 95 light-years to reach Earth, and stopped for refueling 60 light-years into its journey. To find out how far it had left to travel after refueling, we subtract the distance it already traveled from the total distance: 95 light-years - 60 light-years = 35 light-years. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: In a popular game, a character starts with a health value of 82. After being attacked by a rival character, his health value decreases by 69. What is the character's remaining health value?
Gemini-1.5 Flash:
Reasoning: The character's remaining health value is 82 - 69. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In our previous scenario, the character started with a health value of 82. What if, instead of being attacked and losing 69 health points, he was attacked by a weaker rival character and only lost 33 health points. What would be the character's remaining health value in this new scenario?
Gemini-1.5 Flash:
Reasoning: If the character loses 33 health points, his remaining health would be 82 - 33. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A designer creates 77 dresses in a week and sells them for $16 each. After a week, he subtracts a cost of $27 for fabric damage. How much did the designer earn after accounting for the fabric damage?
Gemini-1.5 Flash:
Reasoning: The designer earned 77 * $16 = $1232 from selling the dresses. After subtracting the cost of fabric damage, the designer earned $1232 - $27 = $1205. ### Answer: $1205
Expected answer: 1205
Correct? Yes
Problem: A snail travels 66 inches in a day. In addition to that, the snail extracted energy from 704 lettuce leaves over 22 days, allowing it to move an additional inch per day. How far in inches does the snail travel in a day with the additional energy?
Gemini-1.5 Flash:
Reasoning: The snail travels an additional 704 lettuce leaves / 22 days = 32 inches per day from the lettuce. Therefore, the snail travels a total of 66 inches + 32 inches = 98 inches per day. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: After some days, the snail found a new source of energy and added another benefit: it ate 330 beet leaves over 33 days, which allowed it to move an additional inch per day. With the added energy from the beet leaves, how far does the snail now travel in a day?
Gemini-1.5 Flash:
Reasoning: The snail gets an additional 330 beet leaves / 33 days = 10 inches per day from the beet leaves. The snail now travels 98 inches + 10 inches = 108 inches per day. ### Answer: 108
Expected answer: 108
Correct? Yes
Problem: After observing the snail for some time, it was noticed that it actually traveled 25 inches instead of 66 inches in a day. Given this new information, and assuming that the energy extracted from the 704 lettuce leaves over 22 days still allowed it to move an additional inch per day, how far does the snail now travel in a day?
Gemini-1.5 Flash:
Reasoning: The snail now travels 25 inches + 32 inches = 57 inches per day. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: A cake recipe calls for using 65 grams of sugar. If a bakery prepares 29 such cakes and then adds 46 more grams for frosting, how many grams of sugar did they use in total?
Gemini-1.5 Flash:
Reasoning: They used 65 * 29 = <<65*29=1885>>1885 grams of sugar for the cakes. In total, they used 1885 + 46 = <<1885+46=1931>>1931 grams of sugar. ### Answer: 1931
Expected answer: 1931
Correct? Yes
Problem: A skateboard company makes 36 freestyle skateboards and 92 downhill skateboards in a day. How many skateboards does it make in total in a day?
Gemini-1.5 Flash:
Reasoning: The company makes 36 + 92 = <<36+92=128>>128 skateboards in total in a day. ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: The skateboard company decides to extend its production over 21 days but had to discard 65 skateboards due to quality issues. How many skateboards did they make in the span of these 21 days after discarding the faulty ones?
Gemini-1.5 Flash:
Reasoning: The company made 128 skateboards per day, so over 21 days it would make 128*21= <<128*21=2688>>2688 skateboards. However, 65 of them were faulty, so they only made 2688-65= <<2688-65=2623>> 2623 usable skateboards in the 21 days. ### Answer: 2623
Expected answer: 2623
Correct? Yes
Problem: Suppose now the company produces 82 freestyle skateboards instead of 36, while still producing 92 downhill skateboards daily. How many skateboards does it make in total in a day?
Gemini-1.5 Flash:
Reasoning: The company makes 82 + 92 = <<82+92=174>>174 skateboards in total in a day. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: A café sells hot chocolate for 42 dollars per cup. One day, they sold 78 cups of hot chocolate and made an extra 58 dollars from selling marshmallows. What is the total revenue of that day from selling hot chocolate and marshmallows?
Gemini-1.5 Flash:
Reasoning: The café earned 42*78 = <<42*78 = 3276>>3276 dollars from selling hot chocolate. The total revenue of the day is 3276+58 = <<3276+58=3334>>3334 dollars. ### Answer: 3334
Expected answer: 3334
Correct? Yes
Problem: The café also has another branch. If the other branch also made the same amount of money from selling hot chocolate and marshmallows in a day, what would be the total revenue from both branches?
Gemini-1.5 Flash:
Reasoning: The total revenue from both branches would be 3334*2 = <<3334*2=6668>>6668 dollars. ### Answer: 6668
Expected answer: 6668
Correct? Yes
Problem: Suppose that on another day, the café priced their hot chocolate differently: they sold it for 42 dollars per cup but only sold 78 cups, and made an additional 24 dollars from selling marshmallows. What would be the total revenue of that day?
Gemini-1.5 Flash:
Reasoning: The café earned 42*78 = <<42*78 = 3276>>3276 dollars from selling hot chocolate. The total revenue of the day is 3276+24 = <<3276+24=3300>>3300 dollars. ### Answer: 3300
Expected answer: 3300
Correct? Yes
Problem: A river tour boat can hold 58 adults. If an additional 4 children can also board the boat, what is the total number of passengers the boat can carry?
Gemini-1.5 Flash:
The boat can carry 58 adults + 4 children = 62 passengers in total. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Suppose that the river tour boat could originally only hold 58 adults. It has now been modified to increase its capacity by 3 more adults. Taking this into account, how many total adults can the boat hold now?
Gemini-1.5 Flash:
The boat can now hold 58 adults + 3 adults = 61 adults. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If a monkey gets ((360 bananas / 12 months) + 16 extra bananas) per month, how many bananas does the monkey get in a month?
Gemini-1.5 Flash:
Let's break down the problem: * **Bananas per month from the regular supply:** 360 bananas / 12 months = 30 bananas/month * **Total bananas per month:** 30 bananas/month + 16 bananas = 46 bananas/month ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: If in the next month, the monkey received additional bananas, bringing its total to ((360 bananas / 12 months) + 16 extra bananas + 79 more bananas) but then 67 of them were stolen, how many bananas does the monkey have now?
Gemini-1.5 Flash:
Let's break down the problem step-by-step: 1. **Regular bananas:** 360 bananas / 12 months = 30 bananas/month 2. **Initial total:** 30 bananas/month + 16 bananas = 46 bananas/month 3. **Additional bananas:** 46 bananas/month + 79 bananas = 125 bananas 4. **Bananas stolen:** 125 bananas - 67 bananas = 58 bananas ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: What if, instead of getting 360 bananas a year, the monkey only got 360 bananas every 20 months? If the monkey also got 16 extra bananas per month, how many bananas would the monkey get in a month?
Gemini-1.5 Flash:
Here's how to solve this: * **Bananas per month from the regular supply:** 360 bananas / 20 months = 18 bananas/month * **Total bananas per month:** 18 bananas/month + 16 bananas = 34 bananas/month ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: A starfish has 5 arms. If there were 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Gemini-1.5 Flash:
Reasoning: If we divide the 360 degrees of a circle by the starfish's 5 arms, we find that each arm would take up 360/5 = <<360/5=72>>72 degrees. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Continuing from the previous problem, what if the starfish was an unusual species with 17 arms instead of 5? If there were still 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Gemini-1.5 Flash:
Reasoning: If we divide the 360 degrees of a circle by the starfish's 17 arms, we find that each arm would take up 360/17 = <<360/17=21.176470588235294>>21.176470588235294 degrees. ### Answer: 21.176470588235294
Expected answer: 360/17
Correct? Yes
Problem: There's a toy store that has 26 stuffed rabbits. If they decide to order an additional 84 stuffed rabbits and 36 stuffed bears, how many stuffed animals will they have in total?
Gemini-1.5 Flash:
Reasoning: The toy store will have 26 + 84 = <<26+84=110>>110 stuffed rabbits in total. In total, they'll have 110 + 36 = <<110+36=146>>146 stuffed animals. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: The toy store received a special toy order of 1 rare stuffed panda in addition to their previous order. After adding the special order, how many stuffed animals will the toy store have in total?
Gemini-1.5 Flash:
Reasoning: After adding the rare stuffed panda, the toy store will have 146 + 1 = <<146+1=147>>147 stuffed animals in total. ### Answer: 147
Expected answer: 147
Correct? Yes
Problem: On Monday, Rachel watched 35 minutes of TV. On Tuesday, she watched 48 minutes in the morning and 13 more in the evening. How many minutes of TV did Rachel watch on both days?
Gemini-1.5 Flash:
Reasoning: On Tuesday, Rachel watched 48+13 = <<48+13=61>>61 minutes of TV. Rachel watched a total of 35+61 = <<35+61=96>>96 minutes of TV on both days. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: On Wednesday, Rachel watched 68 minutes of TV but decided to reduce her screen time by the amount she had watched on Monday. How many total minutes of TV did Rachel watch on Monday, Tuesday and Wednesday after reducing her Wednesday screen time?
Gemini-1.5 Flash:
Reasoning: After reducing her screen time, Rachel watched 68-35 = <<68-35=33>>33 minutes of TV on Wednesday. Rachel watched a total of 35+61+33 = <<35+61+33=129>>129 minutes of TV on Monday, Tuesday and Wednesday. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: If on Monday instead of watching 35 minutes of TV, Rachel watched 37 minutes. Then, how many total minutes of TV did she watch on Monday and Tuesday?
Gemini-1.5 Flash:
Reasoning: On Tuesday, Rachel watched 48+13 = <<48+13=61>>61 minutes of TV. Rachel watched a total of 37+61 = <<37+61=98>>98 minutes of TV on both days. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: A door manufacturing company can produce 2340 doors over a 90-day period. How many doors can the company produce in one day?
Gemini-1.5 Flash:
Reasoning: The company produces 2340 doors in 90 days, so they produce 2340/90 = <<2340/90=26>> doors per day. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A little mouse had stored 91 pieces of cheese for winter, but a thief mouse stole 77 pieces. The little mouse found 22 more pieces and a kind mouse gave him 12 more. How many pieces of cheese does the little mouse have now?
Gemini-1.5 Flash:
Reasoning: The little mouse had 91 - 77 = <<91-77=14>>14 pieces of cheese left after the thief stole some. After finding more cheese, the little mouse had 14 + 22 = <<14+22=36>>36 pieces of cheese. The kind mouse gave the little mouse 12 more pieces, for a total of 36 + 12 = <<36+12=48>>48 pieces of cheese. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A dolphin needs to have approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. If a dolphin's diet remained unchanged for 59 days, how much fish and squid in total, in kilograms, would the dolphin need?
Gemini-1.5 Flash:
Reasoning: The dolphin needs 96 + 22 = <<96+22=118>> 118 kilograms of food per day. Over 59 days, the dolphin needs 118 * 59 = <<118*59=6962>> 6962 kilograms of food in total. ### Answer: 6962
Expected answer: 6962
Correct? Yes
Problem: Earlier we calculated that a dolphin needs approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. But what if instead, each day the dolphin had 96 kilograms of fish and only 8 kilograms of squid? Then, how much total food in kilograms would the dolphin need if it ate this diet unchanged for 59 days?
Gemini-1.5 Flash:
Reasoning: The dolphin needs 96 + 8 = <<96+8=104>> 104 kilograms of food per day. Over 59 days, the dolphin needs 104 * 59 = <<104*59=6136>> 6136 kilograms of food in total. ### Answer: 6136
Expected answer: 6136
Correct? Yes
Problem: If Mandy has 18 building blocks and she received another 43, then decided to multiply the total by the initial number she had, how many building blocks would she have in the end?
Gemini-1.5 Flash:
Reasoning: Mandy had 18 + 43 = <<18 + 43 = 61>> 61 building blocks after receiving more. If she multiplies this number by her initial amount, she would have 61 * 18 = <<61 * 18 = 1098>> 1098 building blocks. ### Answer: 1098
Expected answer: 1098
Correct? Yes
Problem: Following the previous problem, if Mandy decides to multiply the numbers of the building blocks she ends up with by the result of dividing 215 by 43, how many building blocks would she have then?
Gemini-1.5 Flash:
Reasoning: Mandy has 1098 building blocks, and 215 divided by 43 is 215/43 = <<215/43 = 5>> 5. Multiplying these two numbers, we get 1098 * 5 = <<1098*5=5490>> 5490. ### Answer: 5490
Expected answer: 5490
Correct? Yes
Problem: Continuing with the previous problem, suppose Mandy initially had 18 building blocks and received another 55, instead of the original 43. If she then multiplies the total by the initial 18 building blocks she had, how many building blocks would she have now?
Gemini-1.5 Flash:
Reasoning: Mandy had 18 + 55 = <<18 + 55 = 73>> 73 building blocks after receiving more. If she multiplies this number by her initial amount, she would have 73 * 18 = <<73 * 18 = 1314>> 1314 building blocks. ### Answer: 1314
Expected answer: 1314
Correct? Yes
Problem: A ballerina practices for (28 - 11) hours a day, and she practices 10 times more on weekends. How much does she practice on weekends?
Gemini-1.5 Flash:
Reasoning: The ballerina practices for 28-11 = 17 hours a day. On weekends, she practices 17*10 = <<17*10=170>>170 hours. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Suppose our ballerina decided to lessen her weekend practices to (28 - 11) hours but increased the frequency to 66 times. How many hours did she practice in total on the weekends now?
Gemini-1.5 Flash:
Reasoning: The ballerina practices (28-11) = 17 hours each weekend. She practices for 17*66 = <<17*66=1122>>1122 hours in total on the weekends now. ### Answer: 1122
Expected answer: 1122
Correct? Yes
Problem: A deck of special cards contains 59 different kinds of cards, and for each kind, there are 49 cards. How many total cards are there in this deck?
Gemini-1.5 Flash:
Reasoning: To find the total number of cards, we multiply the number of different kinds of cards by the number of cards of each kind. So, the total number of cards is 59 * 49 = <<59*49=2891>>2891. ### Answer: 2891
Expected answer: 2891
Correct? Yes
Problem: After the manufacturer's initial count of the standard cards and the division of premium cards, they discover a miscalculation. Instead of 59 different kinds of cards in the deck, there are actually 90 kinds. If for each kind, there are still 59 cards, how many total standard cards are there in this deck?
Gemini-1.5 Flash:
Reasoning: Since there are 90 different kinds of cards and each kind has 59 cards, the total number of standard cards is 90 * 59 = <<90*59=5310>>5310. ### Answer: 5310
Expected answer: 5310
Correct? Yes
Problem: A farmer has a field where he grows grapevines. He has added 93 new vines to his field and 73 more after that. Unfortunately, 92 of the vines have died. How many vines does he have now?
Gemini-1.5 Flash:
Reasoning: The farmer added 93 + 73 = 166 vines. After the vines died, he has 166 - 92 = 74 vines remaining. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: The farmer reevaluates his count and realizes that he made a mistake in his initial counting. He actually added 65 new vines to his field, instead of 93, then added 73 more vines and had 92 vines die. How many grapevines does he have in his field now with this corrected count?
Gemini-1.5 Flash:
Reasoning: The farmer added a total of 65 + 73 = 138 new vines to his field. After 92 vines died, he has 138 - 92 = 46 vines remaining. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: A blanket factory makes 13 blankets in the morning and 81 in the afternoon, but returns 59 due to defects. Each blanket is sold at a price equal to 39 times the total number of good blankets they have, plus the number of good blankets. What's the total value of the blankets they've sold?
Gemini-1.5 Flash:
Reasoning: The factory made 13 + 81 = <<13+81=94>>94 blankets in total. After returning the defective blankets, they have 94 - 59 = <<94-59=35>>35 good blankets. The price of each blanket is 39*35 + 35 = <<39*35+35=1390>>1390. Therefore, the total value of the blankets sold is 1390*35 = <<1390*35=48650>>48650. ### Answer: 48650
Expected answer: 1400
Correct? No
Problem: A bus travels a distance of 1300 miles. If it does so in 20 equal stages, how many miles does the bus travel per stage?
Gemini-1.5 Flash:
To find the distance traveled per stage, we divide the total distance by the number of stages: 1300 miles / 20 stages = 65 miles/stage ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: In our previous scenario, suppose instead of covering the distance in 20 equal stages, the bus decided to only stop 4 times, dividing the journey into equal parts. In that case, how many miles would the bus need to travel per stage?
Gemini-1.5 Flash:
If the bus only stops 4 times, it's divided into 5 equal parts (think of it as the stops being the "dividers" of the journey). To find the distance traveled per stage, we divide the total distance by the number of parts: 1300 miles / 5 stages = 260 miles/stage ### Answer: 260
Expected answer: 325
Correct? No
Problem: A region usually receives 53 inches of rain each year. However, in a certain year, it only received 7 inches less than the usual amount. How many inches of rain did it receive that year?
Gemini-1.5 Flash:
Reasoning: The region received 53-7 = <<53-7=46>> 46 inches of rain that year. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Suppose the region actually usually receives 69 inches of rain each year, instead of 53 as we previously thought. If it still received 7 inches less than the usual amount in the year we're considering, how many inches of rain did it receive that year?
Gemini-1.5 Flash:
Reasoning: The region received 69-7 = <<69-7=62>> 62 inches of rain that year. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a complicated mechanical watch, there are 98 gears in the main mechanism and 61 gears in a side mechanism. After service, a watchmaker removed 80 gears from the watch. How many gears are there left in the watch now?
Gemini-1.5 Flash:
Reasoning: The watch had 98 + 61 = <<98+61=159>>159 gears in total. After the service, there are 159 - 80 = <<159-80=79>>79 gears left. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: Originally, the watchmaker removed 80 gears from the watch, leaving a certain number of gears. But what if the watchmaker only removed 8 gears instead of 80 from the total of 98 gears in the main mechanism and 61 gears in a side mechanism? How many gears would remain in the watch?
Gemini-1.5 Flash:
Reasoning: The watch had 98 + 61 = <<98+61=159>>159 gears in total. If the watchmaker removed only 8 gears, there would be 159 - 8 = <<159-8=151>>151 gears left. ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: A company manufactures 1462 binoculars and distributes them equally among 43 stores. After subtracting 25 defective pieces from each store's stock, how many binoculars does each store end up with?
Gemini-1.5 Flash:
Reasoning: Each store initially receives 1462 / 43 = <<1462/43=34>>34 binoculars. After subtracting the defective binoculars, each store has 34 - 25 = <<34-25=9>>9 binoculars left. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: In addition to the binoculars already distributed, each store received an additional shipment of binoculars from a second manufacturing facility. The second facility produced 4104 binoculars and divided them equally among 57 stores. After accounting for this additional shipment, how many binoculars does each store end up with in total?
Gemini-1.5 Flash:
Reasoning: The second facility sent 4104 / 57 = <<4104/57=72>>72 binoculars to each store. Therefore, each store has a total of 9 + 72 = <<9+72=81>>81 binoculars. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In a revision to the initial report, it turns out that 19 defective pieces were found in each store's binocular stock, rather than the originally believed 25. After making this correction, how many binoculars does each store end up with from the initial shipment?
Gemini-1.5 Flash:
Reasoning: After the correction, each store has 34 - 19 = <<34-19=15>>15 binoculars left. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: A camera shop stocks 25 DSLR cameras. They receive a delivery of 71 new DSLR cameras and for promotional reasons, the shop decides to multiply the total number of cameras by 77. How many cameras does the shop have for promotion?
Gemini-1.5 Flash:
Reasoning: After the delivery, the shop has 25 + 71 = <<25+71=96>>96 cameras. The shop multiplies the number of cameras by 77, resulting in 96 * 77 = <<96*77=7392>>7392 cameras. ### Answer: 7392
Expected answer: 7392
Correct? Yes
Problem: Following the previous scenario, let's revisit the promotional event. Suppose this time the shop had decided to multiply the total number of cameras by 56 instead of 77 after receiving the same initial stock of 71 new DSLR cameras. How many cameras would the shop have had for promotion in this case?
Gemini-1.5 Flash:
Reasoning: As before, after receiving the delivery, the shop has 25 + 71 = <<25+71=96>>96 cameras. If they multiply the number of cameras by 56, they would have 96 * 56 = <<96*56=5376>>5376 cameras for promotion. ### Answer: 5376
Expected answer: 5376
Correct? Yes
Problem: On average, a construction company can build 1425 square feet of a house in 19 days. If they worked for 14 days, how many square feet would they have built?
Gemini-1.5 Flash:
Reasoning: We can set up a proportion to solve this problem. Let 'x' represent the number of square feet built in 14 days. The proportion is: 1425 square feet / 19 days = x square feet / 14 days To solve for x, we can cross-multiply: 1425 * 14 = 19 * x Simplifying: 19950 = 19x Dividing both sides by 19: x = 1050 Therefore, the construction company would have built 1050 square feet in 14 days. ### Answer: 1050
Expected answer: 1050
Correct? Yes
Problem: A farmer starts the day with 18 tomatoes in his basket. By midday, he manages to harvest some more, bringing the total to 18 + 82 tomatoes in the basket. Unfortunately, 37 of these tomatoes are deemed unsellable because they are not ripe enough. How many tomatoes does the farmer have left in the basket that are ready to sell?
Gemini-1.5 Flash:
Reasoning: The farmer has 18 + 82 = 100 tomatoes in the basket after harvesting. He has 100 - 37 = 63 tomatoes left that are ready to sell. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In a similar situation as before, the farmer started his day with a different quantity of 95 tomatoes in his basket. Just like the previous day, by midday, he managed to harvest some more, bringing the total to 95 + 82 tomatoes in the basket. Unfortunately, he found that 37 of these tomatoes were not ripe enough to sell. How many ripe tomatoes did the farmer have left in his basket after this day?
Gemini-1.5 Flash:
Reasoning: The farmer had 95 + 82 = 177 tomatoes in the basket after harvesting. He had 177 - 37 = 140 ripe tomatoes left to sell. ### Answer: 140
Expected answer: 140
Correct? Yes
Problem: In a soap manufacturing factory, they create soap in large blocks that are then cut into smaller bars. If each large block can be cut into 1424 bars of soap, but they package the soap in bundles of 16 bars each, how many packages can they make from one large block of soap?
Gemini-1.5 Flash:
Reasoning: To find out how many packages they can make, we need to divide the total number of bars (1424) by the number of bars per package (16). 1424 / 16 = 89 ### Answer: 89
Expected answer: 89
Correct? Yes
Problem: Continuing from the initial situation in the soap manufacturing factory, suppose now they have decided to cut the large soap blocks into smaller bars such that each block can now be cut into 1424 bars of soap. However, this time they plan to package the soap in bundles of 36 bars each instead of 16. How many packages can they make from one large block of soap under this new arrangement?
Gemini-1.5 Flash:
Reasoning: To find out how many packages they can make, we need to divide the total number of bars (1424) by the number of bars per package (36). 1424 / 36 = 39.56 Since we can't have a fraction of a package, we round down to the nearest whole number. ### Answer: 39
Expected answer: 356/9
Correct? No
Problem: A printer prints 2 sheets of paper with 37 letters each second. If it continues to print at this rate for 95 seconds, how many letters will be printed?
Gemini-1.5 Flash:
Reasoning: The printer prints 2*37 = <<2*37=74>>74 letters per second. So, in 95 seconds, it prints 74*95 = <<74*95=7030>>7030 letters. ### Answer: 7030
Expected answer: 7030
Correct? Yes
Problem: Continuing from the previous scenario, what if the printer only printed 2 sheets of paper with 4 letters each second instead of 37. Keeping the same printing duration of 95 seconds, how many letters would have been printed then?
Gemini-1.5 Flash:
Reasoning: The printer now prints 2*4 = <<2*4=8>>8 letters per second. So, in 95 seconds, it prints 8*95 = <<8*95=760>>760 letters. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: A potato farm produces 12 tons of potatoes per acre. They have a 3 acre plot of land which they use for growing potatoes. After the harvest, they found out that 71 tons were rotten, but they could salvage 44 tons. How many tons of potatoes do they have left?
Gemini-1.5 Flash:
Reasoning: The farm produced 12 tons/acre * 3 acres = <<12*3=36>>36 tons of potatoes. They had 36 - 71 = -35 tons of potatoes after the rotten ones were removed. Since they can't have negative potatoes, this means they had 0 tons left after the rotten ones were removed. They salvaged 44 tons so they now have 0 + 44 = <<0+44=44>>44 tons of potatoes. ### Answer: 44
Expected answer: 9
Correct? No
Problem: A plane travels around the world, covering a distance of 360,000 miles. If it covers 72,000 miles per day, how many days does it take for the plane to travel around the world?
Gemini-1.5 Flash:
Reasoning: To find out how many days it takes, we need to divide the total distance by the distance traveled per day. So, 360,000 miles / 72,000 miles/day = 5 days. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After reviewing the plane's logbook, the crew realizes there was a mistake in their calculations. Instead of covering 360,000 miles to travel around the world, it actually only took them 81,000 miles. Given this, how many days would it have taken them to travel around the world at a rate of 72,000 miles per day?
Gemini-1.5 Flash:
Reasoning: We need to divide the actual distance traveled around the world by the plane's daily travel rate. So, 81,000 miles / 72,000 miles/day = 1.125 days. ### Answer: 1.125
Expected answer: 9/8
Correct? Yes
Problem: A fairy sprinkles magical dust at a rate of 4332 milligrams every 76 minutes. If she reduces her sprinkling rate by 44 milligrams and continues at this reduced rate for 52 minutes, how much magical dust will she sprinkle in that time?
Gemini-1.5 Flash:
Reasoning: The fairy's reduced sprinkling rate is 4332 - 44 = 4288 milligrams every 76 minutes. She sprinkles magical dust at a rate of 4288/76 = 56.42 milligrams per minute. In 52 minutes she sprinkles 56.42 * 52 = 2934.64 milligrams of magical dust. ### Answer: 2934.64
Expected answer: 676
Correct? No
Problem: At the start of the camping trip, there were 56 logs to fuel the campfire. But after some time, the campers had used up 15 logs. How many logs are left for the rest of the trip?
Gemini-1.5 Flash:
Reasoning: The campers had 56-15 = <<56-15=41>> 41 logs left. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After re-counting the initial logs at the start of the camping trip, there were actually 48 logs, not 56. After using up 15 logs, with this new count, how many logs are now left for the rest of the trip?
Gemini-1.5 Flash:
Reasoning: The campers had 48 - 15 = <<48-15=33>> 33 logs left. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: John took 30 pictures with his new camera, but then he accidentally deleted 81 pictures. Fortunately, he was able to recover 61 of the deleted pictures. How many pictures does he have now?
Gemini-1.5 Flash:
Reasoning: John had 30-81 = -51 pictures after deleting 81 pictures. Because you cannot have negative pictures, this means he has 0 pictures left. John recovered 61 pictures so he now has 0+61 = 61 pictures. ### Answer: 61
Expected answer: 10
Correct? No
Problem: A tailor uses 20 square feet of fabric to make one teddy bear. If they use the same amount of fabric for every teddy bear, how much fabric will they need to make 20 teddy bears?
Gemini-1.5 Flash:
Reasoning: The tailor needs 20 square feet of fabric per teddy bear, so for 20 teddy bears, they will need 20 * 20 = <<20*20=400>> 400 square feet of fabric. ### Answer: 400
Expected answer: 400
Correct? Yes
Problem: If each pair of binoculars costs $27 and a store adds a tax of $9 after buying 23 pairs, how much will the total cost be?
Gemini-1.5 Flash:
Reasoning: The cost of 23 pairs of binoculars is 23*$27 = $621. Since the store adds a tax of $9 for buying 23 pairs, the total cost will be $621 + $9 = $630. ### Answer: $630
Expected answer: 630
Correct? Yes
Problem: After paying the tax and buying the 23 pairs of binoculars, the store owner decides to purchase an additional single pair of binoculars that has a discount of $95. What is the total amount the store owner will need to pay now?
Gemini-1.5 Flash:
Reasoning: The discounted price of the single pair of binoculars is $27 - $95 = -$68. However, the price cannot be negative, so the single pair will cost $0. The total cost for all the binoculars is $630 + $0 = $630. ### Answer: $630
Expected answer: 562
Correct? No
Problem: After the store owner's last transaction, a new shipment of binoculars came in with a lower price. This time, each pair costs $27 and there's a fixed tax of $9. If the store owner decides to buy 13 pairs from the new shipment, how much would the total cost be now?
Gemini-1.5 Flash:
Reasoning: The cost of 13 pairs of binoculars is 13 * $27 = $351. Adding the fixed tax of $9, the total cost will be $351 + $9 = $360. ### Answer: $360
Expected answer: 360
Correct? Yes
Problem: A pirate found 22 gold coins on an island. On his ship, he remembered that he had found 91 gold coins on another island, and 33 gold coins hidden in a chest. How many gold coins does the pirate have in total?
Gemini-1.5 Flash:
Reasoning: The pirate has a total of 22 + 91 + 33 = <<22+91+33=146>>146 gold coins. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: Following on from the previous problem: The pirate made a mistake while counting his treasure. He originally thought that he had found 91 gold coins on another island, but it turned out there were only 9 gold coins. With the 22 coins he found on an island, 9 on another island, and 33 hidden in a chest, how many coins does the pirate have now?
Gemini-1.5 Flash:
Reasoning: The pirate now has 22 + 9 + 33 = <<22+9+33=64>>64 gold coins. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: A magical unicorn has (54 - 24) + 25 numbers of rainbow apples. If each rainbow apple can be traded for 51 sparkly diamonds, how many sparkly diamonds can the unicorn get in return?
Gemini-1.5 Flash:
Reasoning: The unicorn has (54 - 24) + 25 = 30 + 25 = 55 rainbow apples. The unicorn can get 55 * 51 = <<55*51=2805>>2805 sparkly diamonds. ### Answer: 2805
Expected answer: 2805
Correct? Yes
Problem: After trading all of her rainbow apples, the magical unicorn decided to use some of her sparkly diamonds. She gave away 40 diamonds to her unicorn friend and another 12 diamonds to a fairy. How many sparkly diamonds does the unicorn have left?
Gemini-1.5 Flash:
Reasoning: The unicorn gave away 40 + 12 = 52 diamonds. The unicorn has 2805 - 52 = <<2805-52=2753>>2753 sparkly diamonds left. ### Answer: 2753
Expected answer: 2753
Correct? Yes
Problem: Suppose instead of having (54 - 24) + 25 rainbow apples, the magical unicorn actually had (54 - 24) + 38 rainbow apples. If she can still trade each rainbow apple for 51 sparkly diamonds, how many sparkly diamonds would she have received?
Gemini-1.5 Flash:
Reasoning: The unicorn has (54 - 24) + 38 = 30 + 38 = 68 rainbow apples. The unicorn can get 68 * 51 = <<68*51=3468>>3468 sparkly diamonds. ### Answer: 3468
Expected answer: 3468
Correct? Yes
Problem: A phone manufacturer is capable of producing 990 phones every 22 hours. After 33 hours, they add an additional 13 phones to the production batch. How many phones are produced in total at this time?
Gemini-1.5 Flash:
Reasoning: First, we need to figure out how many phones are produced per hour. We can do this by dividing the total phones produced by the time it takes to produce them: 990 phones / 22 hours = 45 phones per hour. Next, we need to determine how many phones are produced in 33 hours: 45 phones/hour * 33 hours = 1485 phones. Finally, we add the 13 extra phones to get the total: 1485 phones + 13 phones = 1498 phones. ### Answer: 1498
Expected answer: 1498
Correct? Yes
Problem: In our previous scenario, instead of adding 13 phones, suppose the phone manufacturer adds an additional 80 phones after producing phones for 33 hours. How many phones are produced in total at this time now?
Gemini-1.5 Flash:
Reasoning: As we established before, the manufacturer produces 45 phones per hour. After 33 hours, they would have produced 45 phones/hour * 33 hours = 1485 phones. Adding the 80 extra phones, the total production becomes 1485 phones + 80 phones = 1565 phones. ### Answer: 1565
Expected answer: 1565
Correct? Yes
Problem: A tall building has 704 windows in total. If each floor has the same number of windows and the building is 8 floors high, how many windows are there on each floor?
Gemini-1.5 Flash:
Reasoning: To find the number of windows on each floor, we divide the total number of windows by the number of floors: 704 windows / 8 floors = 88 windows per floor. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: After figuring out the total number of windows the maintenance team cleaned in a day, let's consider a different scenario. What if the building had originally been built with 704 windows spread over 71 floors instead of 8? How many windows would there be on each floor then?
Gemini-1.5 Flash:
Reasoning: If the building had 71 floors, we would divide the total number of windows by the number of floors: 704 windows / 71 floors = approximately 9.9 windows per floor. Since you can't have a fraction of a window, we'd round down to the nearest whole number. ### Answer: 9
Expected answer: 704/71
Correct? No
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, how many cats are there in total?
Gemini-1.5 Flash:
Reasoning: Since each household has an average of 77 cats, there are a total of 69*77 = 5313 cats in the town. ### Answer: 5313
Expected answer: 5313
Correct? Yes
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, there would be a certain number of cats in total. However, due to some circumstances, 91 of these cats had to be moved to another town. How many cats are left in the town now?
Gemini-1.5 Flash:
Reasoning: As calculated previously, there were 69 * 77 = 5313 cats in the town. After 91 cats were moved, there are 5313 - 91 = 5222 cats left in the town. ### Answer: 5222
Expected answer: 5222
Correct? Yes
Problem: A chocolate bar factory has 28 machines running every day. If 2 machines break down and stop producing, how many machines are still producing chocolate bars?
Gemini-1.5 Flash:
Reasoning: If 2 machines break down, the factory has 28 - 2 = 26 machines still producing. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Originally, the chocolate bar factory had 87 machines running every day instead of 28. If 2 of the machines break down, as it happened in the previous scenario, how many machines would still be producing chocolate bars?
Gemini-1.5 Flash:
Reasoning: If 2 machines break down, the factory has 87 - 2 = 85 machines still producing. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A candlemaker has 37 lavender-scented candles and makes 10 more. He then makes another 24 candles, combines them with the ones he already has, and finally adds 6 vanilla-scented candles to his collection. How many candles does he have in total?
Gemini-1.5 Flash:
Reasoning: The candlemaker had 37+10 = <<37+10=47>>47 candles after making 10 more. He then made 24 more, so he had 47+24 = <<47+24=71>>71 candles. After adding the 6 vanilla-scented candles, he has a total of 71+6 = <<71+6=77>>77 candles. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After creating and combining his different candle types, the candlemaker's friend gifted him an additional 7 candles they made. Now, how many candles does the candlemaker have in total?
Gemini-1.5 Flash:
Reasoning: The candlemaker already had 77 candles, and his friend gave him 7 more. In total, the candlemaker now has 77 + 7 = <<77+7=84>>84 candles. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: The candlemaker originally thought he had made 6 vanilla-scented candles, but he actually made 8 instead. Given this correction, with everything else the same, how many candles does the candlemaker have in total now?
Gemini-1.5 Flash:
Reasoning: We already know the candlemaker has 71 lavender-scented candles. He originally thought he had 6 vanilla-scented candles, but he actually made 8. So, we need to adjust the total by adding the difference: 8 - 6 = 2 more vanilla candles. Therefore, he has a total of 71 + 2 = 73 candles. ### Answer: 73
Expected answer: 79
Correct? No
Problem: What is the result of adding the numbers 12, 4, and 71 together?
Gemini-1.5 Flash:
Adding 12, 4, and 71 together gives us: 12 + 4 + 71 = 87 ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After finding the sum of 12, 4, and 71, add 15 to the result. What is the new total?
Gemini-1.5 Flash:
We already know the sum of 12, 4, and 71 is 87. Adding 15 to that sum: 87 + 15 = 102 ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Imagine that initially instead of 12, you started with 53. Now, what would be the result of adding the numbers 53, 4, and 71 together?
Gemini-1.5 Flash:
Adding 53, 4, and 71 together gives us: 53 + 4 + 71 = 128 ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: John's cucumber plant produces 59 cucumbers. Mary's cucumber plant, on the other hand, produces as many cucumbers as John's but minus the difference between John's cucumbers and 9. How many cucumbers did Mary's plant produce?
Gemini-1.5 Flash:
Reasoning: The difference between John's cucumbers and 9 is 59 - 9 = 50 cucumbers. Mary's plant produced 59 - 50 = 9 cucumbers. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Following up on the previous situation, suppose Sarah takes Mary's cucumber count and adds to it the sum of 54 and 3 cucumbers that she already had before. How many cucumbers does Sarah have now?
Gemini-1.5 Flash:
Reasoning: Sarah had 54 + 3 = 57 cucumbers before. She now has 57 + 9 = 66 cucumbers. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up on the previous situation with John and Mary, suppose now that Mary's cucumber plant produces as many cucumbers as John's but minus the difference between John's cucumbers and 73. How many cucumbers did Mary's plant produce this time?
Gemini-1.5 Flash:
Reasoning: The difference between John's cucumbers and 73 is 59 - 73 = -14. This means Mary's plant produced 59 - (-14) = 59 + 14 = 73 cucumbers. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: A puzzle game requires 3795 points to complete a level, but a player can only gain points in increments of 69. How many increments are needed to gain the points required to complete the level?
Gemini-1.5 Flash:
Reasoning: To find out how many increments of 69 are needed to reach 3795 points, we need to divide the total points required by the points gained per increment. 3795 points / 69 points/increment = 55 increments. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the same puzzle game, consider that to complete a level, a player now requires 3795 points but the points are gained in increments of 19 instead of 69. How many increments of 19 points are now needed to gather the required points to complete the level?
Gemini-1.5 Flash:
Reasoning: We need to find out how many times the increment of 19 points fits into the total points needed (3795). We do this by dividing the total points by the increment: 3795 points / 19 points/increment = 199.74 increments. Since we can't have a fraction of an increment, we round up to the nearest whole number. ### Answer: 200
Expected answer: 3795/19
Correct? No
Problem: A pirate found a treasure chest with 35 gemstones each worth 57 gold coins. The chest also had an additional 42 gold coins. How many gold coins is the total worth of the treasure chest?
Gemini-1.5 Flash:
Reasoning: The gemstones are worth a total of 35 * 57 = <<35*57=1995>>1995 gold coins. Therefore, the total worth of the treasure chest is 1995 + 42 = <<1995+42=2037>>2037 gold coins. ### Answer: 2037
Expected answer: 2037
Correct? Yes
Problem: Suppose the pirate initially found a smaller chest with only 6 gemstones, each still worth 57 gold coins, along with an additional 42 gold coins. How many gold coins would be the total worth of this smaller chest?
Gemini-1.5 Flash:
Reasoning: The gemstones in the smaller chest are worth 6 * 57 = <<6*57=342>>342 gold coins. Adding the additional gold coins, the total worth of the smaller chest is 342 + 42 = <<342+42=384>>384 gold coins. ### Answer: 384
Expected answer: 384
Correct? Yes
Problem: A pet store has 35 white mice, 86 brown mice, and 39 black mice. How many mice does the store have in total?
Gemini-1.5 Flash:
Reasoning: The pet store has a total of 35 + 86 + 39 = <<35+86+39=160>> mice. ### Answer: 160
Expected answer: 160
Correct? Yes
Problem: If the pet store decides to double its quantity of each species of mouse – the white mice, brown mice, and black mice, how many mice will the store have then?
Gemini-1.5 Flash:
Reasoning: If the pet store doubles the quantity of each type of mouse, they will have 35*2 = <<35*2=70>> white mice, 86*2 = <<86*2=172>> brown mice, and 39*2 = <<39*2=78>> black mice. In total, the store will have 70+172+78 = <<70+172+78=320>> mice. ### Answer: 320
Expected answer: 320
Correct? Yes
Problem: If the pet store actually had 31 black mice instead of 39 black mice along with the 35 white mice and 86 brown mice, how many mice in total would the pet store then have?
Gemini-1.5 Flash:
Reasoning: The pet store would have 35 + 86 + 31 = <<35+86+31=152>> mice in total. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: A soap making factory produces 97 bars of soap in one batch. If they made 94 batches in one day, how many bars of soap did they produce that day?
Gemini-1.5 Flash:
Reasoning: The factory produces 97 bars of soap per batch, and they made 94 batches in a day. To find the total number of bars produced, we multiply the number of bars per batch by the number of batches. 97 bars/batch * 94 batches = 9118 bars ### Answer: 9118
Expected answer: 9118
Correct? Yes
Problem: The soap factory realized that instead of producing 97 bars of soap per batch, they had actually been producing only 43 bars per batch due to a measuring error. Given this new information, how many bars of soap were actually produced over the 94 batches made on the first day?
Gemini-1.5 Flash:
Reasoning: We know the factory made 94 batches, and now we know they produced 43 bars per batch. To find the actual total production, we multiply the number of batches by the number of bars per batch. 94 batches * 43 bars/batch = 4042 bars ### Answer: 4042
Expected answer: 4042
Correct? Yes
Problem: A toy factory produces 5 toy cars every minute. After 76 minutes, they add another batch of 49 toy cars. How many toy cars does the factory have now?
Gemini-1.5 Flash:
Reasoning: The factory produces 5 * 76 = <<5*76=380>>380 toy cars in 76 minutes. After adding the extra batch, the factory has 380 + 49 = <<380+49=429>>429 toy cars. ### Answer: 429
Expected answer: 429
Correct? Yes
Problem: After reviewing the production data, the toy car factory realized there was a mistake in their calculation. They actually produce only 4 toy cars every minute instead of 5. If they continue to produce for 76 minutes and add another batch of 49 toy cars as before, how many toy cars will the factory have now?
Gemini-1.5 Flash:
Reasoning: The factory produces 4 * 76 = <<4*76=304>> 304 toy cars in 76 minutes. After adding the extra batch, the factory has 304 + 49 = <<304+49=353>> 353 toy cars. ### Answer: 353
Expected answer: 353
Correct? Yes
Problem: A piece of farmland spans across 9 km. The owner decided to expand his property by 77 km. However, he had to return 71 km due to some legal issues. How many km does the farmer have left after his expansion and subsequent decrease?
Gemini-1.5 Flash:
The farmer initially had 9 km of land. After expanding by 77 km, he had 9 + 77 = 86 km of land. After returning 71 km, he has 86 - 71 = 15 km of land. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a similar situation, another farmer currently owns 25 km of farmland. They also decided to expand by 77 km, but like the previous farmer, had to give back 71 km due to legal issues. How many kilometers does this second farmer have left after this expansion and subsequent decrease?
Gemini-1.5 Flash:
This second farmer started with 25 km of land. After expanding by 77 km, he had 25 + 77 = 102 km of land. After returning 71 km, he has 102 - 71 = 31 km of land. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely?
Gemini-1.5 Flash:
Reasoning: To find out how many buckets they can fill, we divide the total amount of paint by the capacity of each bucket: 8930 liters / 95 liters/bucket = 93.95 buckets. Since we can't fill a bucket partially, we round down to the nearest whole number. ### Answer: 93
Expected answer: 94
Correct? No
Problem: A bubble machine can make 3654 bubbles with 87 ounces of bubble fluid. How many bubbles can it make with 1 ounce of bubble fluid?
Gemini-1.5 Flash:
Reasoning: To find out how many bubbles the machine makes with 1 ounce of fluid, we need to divide the total number of bubbles (3654) by the amount of fluid used (87 ounces). This can be expressed as: 3654 bubbles / 87 ounces = <<3654 / 87 = 42>>42 bubbles per ounce. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Suppose the bubble machine was actually more efficient and could produce 3654 bubbles with just 47 ounces of bubble fluid. With this rate, how many bubbles can it make with 1 ounce of bubble fluid?
Gemini-1.5 Flash:
Reasoning: To find out how many bubbles the machine makes with 1 ounce of fluid, we need to divide the total number of bubbles (3654) by the amount of fluid used (47 ounces). This can be expressed as: 3654 bubbles / 47 ounces = <<3654 / 47 = 78>>78 bubbles per ounce. ### Answer: 78
Expected answer: 3654/47
Correct? No
Problem: A juice bar uses 13 apples to make a jug of apple juice. If they made 30 jugs in one day, how many apples did they use?
Gemini-1.5 Flash:
Reasoning: They used 13 apples per jug, and they made 30 jugs, so they used 13*30 = <<13*30=390>> apples. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: Considering the previous scenario, if instead of using 13 apples daily for the fruit salads, they started using 55 apples, how many apples did they use in total when they made fruit salads for 30 days?
Gemini-1.5 Flash:
Reasoning: They used 55 apples per day for 30 days, so they used 55*30 = <<55*30=1650>> apples in total. ### Answer: 1650
Expected answer: 1650
Correct? Yes
Problem: A certain dinosaur species laid eggs every 60 minutes. If they had been laying eggs for 1620 minutes straight, how many total eggs would they have laid?
Gemini-1.5 Flash:
Reasoning: The dinosaurs laid one egg every 60 minutes, so in 1620 minutes they laid 1620/60 = <<1620/60=27>>27 eggs. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Following the previous scenario, suppose the paleontologists revised their calculations and found that the dinosaur species was actually laying eggs every 47 minutes, not 60 as originally thought. In that case, how many total eggs would the dinosaur have laid if it had been laying eggs for 1620 minutes straight?
Gemini-1.5 Flash:
Reasoning: If the dinosaurs laid one egg every 47 minutes, then in 1620 minutes they would have laid 1620/47 = <<1620/47 = 34.47>> 34.47 eggs. Since we can't have a fraction of an egg, we round down to the nearest whole number. ### Answer: 34
Expected answer: 1620/47
Correct? No
Problem: A library received a shipment of new books. There were 55 romance novels, 43 mystery novels, and 67 science fiction novels. How many new books did the library receive?
Gemini-1.5 Flash:
Reasoning: To find the total number of new books, we need to add the number of each type of novel: 55 + 43 + 67 = 165. ### Answer: 165
Expected answer: 165
Correct? Yes
Problem: In the original shipment to the library, suppose there were 95 science fiction novels instead of 67. With the 55 romance novels and 43 mystery novels remaining the same, how many new books did the library receive now?
Gemini-1.5 Flash:
Reasoning: To find the total number of new books, we add the number of each type of novel: 55 + 43 + 95 = 193. ### Answer: 193
Expected answer: 193
Correct? Yes
Problem: On a particular beach, there is a tendency for 74 seashells to appear every day. After 42 days of collection, a beachcomber also discovered an additional 56 seashells that had been hidden in the sand. How many seashells did the beachcomber have in total after 42 days?
Gemini-1.5 Flash:
Reasoning: Over 42 days, the beachcomber collected 74 seashells/day * 42 days = 3108 seashells. Adding the 56 hidden seashells, the beachcomber had a total of 3108 + 56 = 3164 seashells. ### Answer: 3164
Expected answer: 3164
Correct? Yes
Problem: Building on our beachcomber's tale, after counting his 42-day collection of seashells, he accidentally loses one seashell down a seaside crevice. Disappointed but not defeated, he decides to collect 32 more seashells the next day. How many seashells does he have in total after adding the new batch and accounting for the lost seashell?
Gemini-1.5 Flash:
Reasoning: After losing one seashell, the beachcomber had 3164 - 1 = 3163 seashells. Adding the 32 new seashells, the total becomes 3163 + 32 = 3195 seashells. ### Answer: 3195
Expected answer: 3195
Correct? Yes
Problem: Let's revisit our beachcomber. After reconsidering his collection habit, he realizes he has been actually collecting an average of 89 seashells per day instead of 74, over the same 42 day period. He still found that additional 56 seashells hidden in the sand. Now, how many seashells does he have in total after 42 days?
Gemini-1.5 Flash:
Reasoning: The beachcomber collected 89 seashells/day * 42 days = 3738 seashells over 42 days. Adding the 56 hidden seashells, he now has a total of 3738 + 56 = 3794 seashells. ### Answer: 3794
Expected answer: 3794
Correct? Yes