DeepSeek Math 7B Base on 5.NF.A.2
Common Core Standard 5.NF.A.2
This standard covers the following:
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Problem: In their game, Kyle threw a ball for a distance of 18/4 yards, while Lisa threw the same ball for a distance of 19/9 yards. How many yards did the ball travel in total?
DeepSeek Math 7B Base:
Reasoning: Kyle threw the ball for 18/4 = <<18/4=4.5>>4.5 yards, and Lisa threw the ball for 19/9 = <<19/9=2.1111111111111112>>2.1111111111111112 yards. The ball traveled 4.5+2.1111111111111112 = <<4.5+2.1111111111111112=6.611111111111111>>6.611111111111111 yards in total. ### Answer: 6.611111111111111
Expected answer: 119/18
Correct? Yes
Problem: After both Kyle and Lisa's throws, the ball bounced an additional 3/13 yards. Subtract this distance from the total distance the ball traveled when Kyle and Lisa threw it. What is the remaining distance?
DeepSeek Math 7B Base:
Reasoning: The ball traveled 6.611111111111111 yards in total. After the ball bounced, the ball traveled 6.611111111111111-3/13 = <<6.611111111111111-3/13=6.223076923076923>>6.223076923076923 yards. ### Answer: 6.223076923076923
Expected answer: 1493/234
Correct? No
Problem: In their game, suppose that Kyle actually threw the ball for a distance of 15/4 yards, while Lisa still threw the ball for 19/9 yards. How many yards did the ball travel in total now?
DeepSeek Math 7B Base:
Reasoning: Kyle threw the ball for 15/4 = <<15/4=3.75>>3.75 yards, and Lisa threw the ball for 19/9 = <<19/9=2.1111111111111112>>2.1111111111111112 yards. The ball traveled 3.75+2.1111111111111112 = <<3.75+2.1111111111111112=5.861111111111111>>5.861111111111111 yards in total. ### Answer: 5.861111111111111
Expected answer: 211/36
Correct? Yes
Problem: Johnnie the monkey was given 18/7 bananas by the zookeeper in the morning, and 12/14 bananas in the afternoon. In total, how many bananas were given to Johnnie the monkey?
DeepSeek Math 7B Base:
Reasoning: Johnnie the monkey was given 18/7+12/14 = <<18/7+12/14=30/14>>30/14 bananas in total. ### Answer: 30/14
Expected answer: 24/7
Correct? No
Problem: The bottom of a door measures 4/19 inches from the floor, and the top of the door measures 9/10 inches from the ceiling. What is the total distance of the bottom and top of the door from the floor and ceiling, respectively?
DeepSeek Math 7B Base:
Reasoning: The total distance of the bottom and top of the door from the floor and ceiling, respectively, is 4/19+9/10 = <<4/19+9/10=1.01101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101
Expected answer: 211/190
Correct? No
Problem: Ralph's juice recipe requires 17/3 liters of apple juice. However, he only uses 15/11 liters of it. How many liters of apple juice are left unused?
DeepSeek Math 7B Base:
Reasoning: Ralph's juice recipe requires 17/3 - 15/11 = <<17/3-15/11=104/33>>104/33 liters of apple juice. 104/33 = <<104/33=3.15151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151
Expected answer: 142/33
Correct? No
Problem: Billy is trying to roller skate in an empty parking lot. He initially travels 4 miles, but rolls back for 17/20 of a mile after spotting a pothole. How many miles did he ultimately travel forward?
DeepSeek Math 7B Base:
Reasoning: Billy initially travels 4 miles, but rolls back for 17/20 of a mile. Billy travels 4-17/20 = <<4-17/20=13/20>>13/20 miles forward. ### Answer: 13/20
Expected answer: 63/20
Correct? No
Problem: A rocket was launched into orbit. On the first day, it traveled 15/3 light years. On the second day, it traveled an additional 2/7 light years. How far has the rocket traveled in total?
DeepSeek Math 7B Base:
Reasoning: The rocket traveled 15/3+2/7 = <<15/3+2/7=11/7>>11/7 light years in total. ### Answer: 11/7
Expected answer: 37/7
Correct? No
Problem: Captain Silverbeard found 10/13 of a treasure map at one shipwreck site and 16/19 of the same treasure map at another site. What is the total portion of the treasure map that he found?
DeepSeek Math 7B Base:
Reasoning: Captain Silverbeard found 10/13+16/19 = <<10/13+16/19=10/13+16/19>>10/13+16/19 of the treasure map. ### Answer: 10/13+16/19
Expected answer: 398/247
Correct? No
Problem: A hiker decides to walk 9/6 miles North before walking 2/16 miles East. How many miles has the hiker traveled in total?
DeepSeek Math 7B Base:
Reasoning: The hiker has traveled 9/6+2/16 = <<9/6+2/16=1.25>>1.25 miles in total. ### Answer: 1.25
Expected answer: 13/8
Correct? No
Problem: In Jessica's sandbox, she has a pile of sand that is 16/9 cubic feet. She then removes 4/13 cubic feet of sand from the sandbox. How much sand does she have left in her sandbox?
DeepSeek Math 7B Base:
Reasoning: Jessica has 16/9 - 4/13 = <<16/9-4/13=112/117>>112/117 cubic feet of sand left in her sandbox. ### Answer: 112/117
Expected answer: 172/117
Correct? No
Problem: Jacob has a piece of rope that is 15/12 meters long and he adds a piece that is 17/17 meters long to it. What is the total length of the rope now?
DeepSeek Math 7B Base:
Reasoning: Jacob has 15/12 + 17/17 = <<15/12+17/17=15/12+1>>15/12 + 1 meters of rope. Jacob has 15/12 + 1 = <<15/12+1=15/12+12/12=27/12>>27/12 meters of rope. ### Answer: 27/12
Expected answer: 9/4
Correct? Yes
Problem: Jacob now wants to double the total length of the rope he has. If Jacob starts with the rope that is ((15 / 12) + (17 / 17)) meters long, and then adds another piece of the same length to it, what will be the total length of the combined ropes?
DeepSeek Math 7B Base:
Reasoning: Jacob has 2 * (15/12 + 17/17) = <<2*(15/12+17/17)=2*(15/12+1)>>2 * (15/12 + 1) meters of rope. Jacob has 2 * (15/12 + 1) = <<2*(15/12+1)=2*(15/12+12/12)=2*27/12>>2 * (15/12 + 1) = 2 * 27/12 = <<2*27/12=54/12>>54/12 meters of rope. ### Answer: 54/12
Expected answer: 9/2
Correct? Yes
Problem: Now, suppose Jacob starts with a piece of rope that is 7/12 meters long instead of 15/12 meters. If he still adds the rope piece that is 17/17 meters long to it, what is the total length of the rope now?
DeepSeek Math 7B Base:
Reasoning: Jacob has 7/12 + 17/17 = <<7/12+17/17=7/12+1>>7/12 + 1 meters of rope. Jacob has 7/12 + 1 = <<7/12+1=7/12+12/12=19/12>>19/12 meters of rope. ### Answer: 19/12
Expected answer: 19/12
Correct? Yes
Problem: Mark has 1 full pair of pants and another 13/4 pairs from various incomplete sets. How many pairs of pants does he have in total?
DeepSeek Math 7B Base:
Reasoning: Mark has 1+13/4 = <<1+13/4=1+3.25=4.25>>4.25 pairs of pants. ### Answer: 4.25
Expected answer: 17/4
Correct? Yes
Problem: Mark already had 1 full pair of pants and another 13/4 pairs from various incomplete sets. If he goes shopping and buys an additional 13/3 pairs of pants, how many pairs of pants does he have in total now?
DeepSeek Math 7B Base:
Reasoning: Mark has 1+13/4+13/3 = <<1+13/4+13/3=1+3.25+4.33=8.58>>8.58 pairs of pants. ### Answer: 8.58
Expected answer: 103/12
Correct? No
Problem: Instead of starting with 1 full pair of pants and another 13/4 pairs, let's say Mark originally had 1 full pair of pants and 9/4 pairs from various incomplete sets. How many pairs of pants would he then have in total?
DeepSeek Math 7B Base:
Reasoning: Mark has 1+9/4 = <<1+9/4=1+2.25=3.25>>3.25 pairs of pants. ### Answer: 3.25
Expected answer: 13/4
Correct? Yes
Problem: Miss Jenny stayed after school to grade papers. She spent 8/8 hours on one subject and an additional 20/19 hours on another subject. How long did she spend grading papers in total?
DeepSeek Math 7B Base:
Reasoning: Miss Jenny spent 8/8+20/19 = <<8/8+20/19=2.0526315789473684>>2.0526315789473684 hours grading papers. ### Answer: 2.0526315789473684
Expected answer: 39/19
Correct? Yes
Problem: After grading papers, Miss Jenny spends an additional 1/12 hours organizing her lesson plans. How long did she spend in total between grading papers and organizing her lesson plans?
DeepSeek Math 7B Base:
Reasoning: Miss Jenny spent 2.0526315789473684+1/12 = <<2.0526315789473684+1/12=2.1271604938271604>>2.1271604938271604 hours in total between grading papers and organizing her lesson plans. ### Answer: 2.1271604938271604
Expected answer: 487/228
Correct? No
Problem: Suppose instead of spending 20/19 hours on the second subject, Miss Jenny had actually spent 20/13 hours. How long did she spend grading papers in total then?
DeepSeek Math 7B Base:
Reasoning: Miss Jenny spent 8/8+20/13 = <<8/8+20/13=2.1538461538461537>>2.1538461538461537 hours grading papers. ### Answer: 2.1538461538461537
Expected answer: 33/13
Correct? No
Problem: A cloud was observed at a height of 12/3 kms, it later ascended by 15/12 kms. What was the resultant height of the cloud from the ground?
DeepSeek Math 7B Base:
Reasoning: The cloud was observed at a height of 12/3 = <<12/3=4>>4 kms, it later ascended by 15/12 = <<15/12=1.25>>1.25 kms. The resultant height of the cloud from the ground is 4+1.25 = <<4+1.25=5.25>>5.25 kms. ### Answer: 5.25
Expected answer: 21/4
Correct? Yes
Problem: Let's now consider this scenario: the cloud was initially at a height of 12/3 kms, then later it ascended by 7/12 kms instead of the previous 15/12 kms. What would be the resultant height of the cloud from the ground in this case?
DeepSeek Math 7B Base:
Reasoning: The cloud was initially at a height of 12/3 = <<12/3=4>>4 kms, then later it ascended by 7/12 = <<7/12=0.5833333333333333>>0.5833333333333333 kms. The resultant height of the cloud from the ground is 4+0.5833333333333333 = <<4+0.5833333333333333=4.583333333333333>>4.583333333333333 kms. ### Answer: 4.583333333333333
Expected answer: 55/12
Correct? Yes
Problem: Jack rides his scooter 3/9 of a mile to the library. After leaving, he scoots another 17/15 of a mile to his grandparents' house. How many miles does Jack ride his scooter in total?
DeepSeek Math 7B Base:
Reasoning: Jack rides 3/9+17/15 = <<3/9+17/15=11/5>>11/5 of a mile to his grandparents' house. Jack rides 3/9+17/15 = <<3/9+17/15=11/5>>11/5 of a mile to his grandparents' house. ### Answer: 11/5
Expected answer: 22/15
Correct? No
Problem: There are 4 logs in a pile that each burn for 1/16 of an hour. The fire burns out and Tom brings 16 twigs, each of which burns for 1/12 of an hour. What is the total burn time for the logs and twigs?
DeepSeek Math 7B Base:
Reasoning: The logs burn for 4*1/16 = <<4*1/16=1/4>>1/4 of an hour. The twigs burn for 16*1/12 = <<16*1/12=4/3>>4/3 of an hour. The total burn time is 1/4+4/3 = <<1/4+4/3=19/12>>19/12 of an hour. ### Answer: 19/12
Expected answer: 19/12
Correct? Yes
Problem: After the logs and twigs burn out, Tom adds 8 pieces of charcoal, each of which burns for 1/5 of an hour. What is the total burn time for the logs, twigs, and charcoal?
DeepSeek Math 7B Base:
Reasoning: The charcoal burns for 8*1/5 = <<8*1/5=8/5>>8/5 of an hour. The total burn time is 19/12+8/5 = <<19/12+8/5=107/60>>107/60 of an hour. ### Answer: 107/60
Expected answer: 191/60
Correct? No
Problem: In the original scenario, consider that there were actually 4 logs that each burn for 1/16 of an hour, but Tom only added 15 twigs that each burn for 1/12 of an hour instead. What would be the total burn time for the logs and twigs in this situation?
DeepSeek Math 7B Base:
Reasoning: The logs burn for 4*1/16 = <<4*1/16=1/4>>1/4 of an hour. The twigs burn for 15*1/12 = <<15*1/12=5/4>>5/4 of an hour. The total burn time is 1/4+5/4 = <<1/4+5/4=6/4>>6/4 of an hour. ### Answer: 6/4
Expected answer: 3/2
Correct? Yes
Problem: If a ring maker uses 12/16 ounces of a silver for the base of the ring and 16/2 ounces to make the rest of the ring, how many ounces of silver did the ring maker use in total?
DeepSeek Math 7B Base:
Reasoning: The ring maker used 12/16 + 16/2 = <<12/16+16/2=17>>17 ounces of silver. ### Answer: 17
Expected answer: 35/4
Correct? No
Problem: A farmer has an apple tree that produced 10/11 bushels of apples in the morning and 17/11 bushels in the afternoon. How many bushels of apples did the tree produce in total?
DeepSeek Math 7B Base:
Reasoning: The farmer's tree produced 10/11+17/11 = <<10/11+17/11=27/11>>27/11 bushels of apples in total. ### Answer: 27/11
Expected answer: 27/11
Correct? Yes
Problem: Now assume the farmer's first apple tree produced 10/9 bushels instead of 10/11 bushels in the morning. With the same amount of apples in the afternoon, how many bushels of apples did this tree produce in one day?
DeepSeek Math 7B Base:
Reasoning: The farmer's first tree produced 10/9+17/11 = <<10/9+17/11=224/99>>224/99 bushels of apples in total. ### Answer: 224/99
Expected answer: 263/99
Correct? No
Problem: If Sam's binoculars increase his range of sight by 3/14 of a mile and Joe's binoculars increase his range of sight by exactly 1 mile (16/16), what is their combined range increase when they use the binoculars one after the other?
DeepSeek Math 7B Base:
Reasoning: Sam's binoculars increase his range of sight by 3/14 of a mile, and Joe's binoculars increase his range of sight by exactly 1 mile (16/16). The combined range increase is 3/14 + 16/16 = <<3/14+16/16=19/14>>19/14 of a mile. ### Answer: 19/14
Expected answer: 17/14
Correct? No
Problem: Maria uses 15/10 yards of fabric for a section of a blanket and 9/18 more yards for another section. What is the total length of fabric Maria uses for these two sections?
DeepSeek Math 7B Base:
Reasoning: Maria uses 15/10 + 9/18 = <<15/10+9/18=12/6>>12/6 yards of fabric for these two sections. ### Answer: 12/6
Expected answer: 2
Correct? Yes
Problem: After reviewing her measurements, Maria realizes that she actually used a smaller piece of fabric for the second section of the blanket. Instead of the 9/18 yards she originally thought, she actually used only 6/18 yards of fabric. What is the total length of fabric that Maria used for these two sections of the blanket now?
DeepSeek Math 7B Base:
Reasoning: Maria uses 15/10 + 6/18 = <<15/10+6/18=12/6>>12/6 yards of fabric for these two sections. ### Answer: 12/6
Expected answer: 11/6
Correct? No
Problem: A turtle walks 10/5 miles forward, then walks backward 5/16 mile. How many miles has the turtle actually covered from its starting point?
DeepSeek Math 7B Base:
Reasoning: The turtle has covered 10/5-5/16 = <<10/5-5/16=13/16>>13/16 miles. ### Answer: 13/16
Expected answer: 27/16
Correct? No
Problem: A painter uses 18/11 liters of blue paint and 1/8 liters of white paint to mix a shade of sky blue. How much paint in liters did he use in total?
DeepSeek Math 7B Base:
Reasoning: The painter used 18/11 + 1/8 = <<18/11+1/8=1.6111111111111112>>1.6111111111111112 liters of paint. ### Answer: 1.6111111111111112
Expected answer: 155/88
Correct? No
Problem: A computer program executed 8 tasks in 4 minutes and then executed another 20 tasks in 14 minutes. What is the total number of tasks it executed per minute?
DeepSeek Math 7B Base:
Reasoning: The computer program executed 8+20 = <<8+20=28>>28 tasks in 4+14 = <<4+14=18>>18 minutes. The computer program executed 28/18 = <<28/18=1.5555555555555556>>1.5555555555555556 tasks per minute. ### Answer: 1.5555555555555556
Expected answer: 24/7
Correct? No
Problem: At the end of a rainbow, there are pots filled with magical gold coins. One pot contains 12/13 of a pound of gold coins while another contains 3/2 pounds of gold coins. How much gold is there in total?
DeepSeek Math 7B Base:
Reasoning: There are 12/13+3/2 = <<12/13+3/2=1.923076923076923>>1.923076923076923 pounds of gold in total. ### Answer: 1.923076923076923
Expected answer: 63/26
Correct? No
Problem: In space, an alien named Zorg receives a video message from earth that is divided into parts. The first part of the message is 4/4 hours long, and the second part is 11/1 hour long. How long in total is the message Zorg received?
DeepSeek Math 7B Base:
Reasoning: The first part of the message is 4/4 = <<4/4=1>>1 hour long, and the second part is 11/1 = <<11/1=11>>11 hours long. The total length of the message is 1+11 = <<1+11=12>>12 hours. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: After watching the original message, Zorg receives an additional part of the message from earth that is 7/8 hours long. What is the total length of all parts of the message that Zorg received?
DeepSeek Math 7B Base:
Reasoning: The first part of the message is 4/4 = <<4/4=1>>1 hour long, the second part is 11/1 = <<11/1=11>>11 hours long, and the third part is 7/8 = <<7/8=0.875>>0.875 hours long. The total length of the message is 1+11+0.875 = <<1+11+0.875=12.875>>12.875 hours. ### Answer: 12.875
Expected answer: 103/8
Correct? Yes
Problem: Upon reviewing the original video message, Zorg realised that the first part of the video message was actually half as long at 4/8 hours instead of 4/4. The second part of the message still remains 11/1 hour long. What is the total length of the message that Zorg has corrected?
DeepSeek Math 7B Base:
Reasoning: The first part of the message is 4/8 = <<4/8=0.5>>0.5 hours long, and the second part is 11/1 = <<11/1=11>>11 hours long. The total length of the message is 0.5+11 = <<0.5+11=11.5>>11.5 hours. ### Answer: 11.5
Expected answer: 23/2
Correct? Yes
Problem: In a park, 10 ducks are equally distributed among 5 ponds, implying each pond has 10 / 5 ducks. In the same park, 8 fish are distributed among 10 small pools, with each pool having 8 / 10 fish. How many animals are there in each pond and pool combined?
DeepSeek Math 7B Base:
Reasoning: There are 10 / 5 = <<10/5=2>>2 ducks in each pond. There are 8 / 10 = <<8/10=0.8>>0.8 fish in each pool. There are 2 + 0.8 = <<2+0.8=2.8>>2.8 animals in each pond and pool combined. ### Answer: 2.8
Expected answer: 14/5
Correct? Yes
Problem: In the same park, there are also 12 frogs evenly distributed across 4 lily pads, meaning each lily pad has 12 / 4 frogs. Adding this to the previous sum of animals in each pond and pool, what is the total number of animals on each respective setting (pond, pool, lily pad) combined?
DeepSeek Math 7B Base:
Reasoning: There are 12 / 4 = <<12/4=3>>3 frogs in each lily pad. There are 2 + 0.8 + 3 = <<2+0.8+3=5.8>>5.8 animals in each pond, pool, and lily pad combined. ### Answer: 5.8
Expected answer: 29/5
Correct? Yes
Problem: In the same park, let's consider a different scenario. Suppose there are now only 2 ducks equally distributed among 5 ponds. Given that each pond will have 2 / 5 ducks and each small pool still has 8 / 10 fish, what will be the total number of animals across each pond and pool in this new scenario?
DeepSeek Math 7B Base:
Reasoning: There are 2 / 5 = <<2/5=0.4>>0.4 ducks in each pond. There are 8 / 10 = <<8/10=0.8>>0.8 fish in each pool. There are 0.4 + 0.8 = <<0.4+0.8=1.2>>1.2 animals in each pond and pool combined. ### Answer: 1.2
Expected answer: 6/5
Correct? Yes
Problem: On a map, 15/11 inches represents the distance between Town A and Town B, and 16/15 inches represents the distance between Town B and Town C. What is the total distance between Town A and Town C on the map?
DeepSeek Math 7B Base:
Reasoning: The distance between Town A and Town C is 15/11+16/15 = <<15/11+16/15=311/165>>311/165 inches. ### Answer: 311/165
Expected answer: 401/165
Correct? No
Problem: A soap company produces 13/18 tons of Soap A and 4/6 tons of Soap B in a day. How many tons of soap do they produce in total each day?
DeepSeek Math 7B Base:
Reasoning: 13/18 = <<13/18=0.7222222222222222>>0.7222222222222222 tons of Soap A 4/6 = <<4/6=0.6666666666666666>>0.6666666666666666 tons of Soap B 0.7222222222222222+0.6666666666666666 = <<0.7222222222222222+0.6666666666666666=1.3888888888888888>>1.3888888888888888 tons of soap ### Answer: 1.3888888888888888
Expected answer: 25/18
Correct? Yes
Problem: The soap company plans to double their daily production. After producing 13/18 tons of Soap A and 4/6 tons of Soap B each day, how many tons of soap will they produce in total when they double their production?
DeepSeek Math 7B Base:
Reasoning: 13/18 = <<13/18=0.7222222222222222>>0.7222222222222222 tons of Soap A 4/6 = <<4/6=0.6666666666666666>>0.6666666666666666 tons of Soap B 0.7222222222222222+0.6666666666666666 = <<0.7222222222222222+0.6666666666666666=1.3888888888888888>>1.3888888888888888 tons of soap 1.3888888888888888*2 = <<1.3888888888888888*2=2.7777777777777776>>2.7777777777777776 tons of soap ### Answer: 2.7777777777777776
Expected answer: 25/9
Correct? Yes
Problem: The soap company decided to increase the production of Soap A to 17/18 tons a day while maintaining the production of Soap B at 4/6 tons a day. How many tons of soap do they produce in total each day after this change?
DeepSeek Math 7B Base:
Reasoning: 17/18 = <<17/18=0.9444444444444444>>0.9444444444444444 tons of Soap A 4/6 = <<4/6=0.6666666666666666>>0.6666666666666666 tons of Soap B 0.9444444444444444+0.6666666666666666 = <<0.9444444444444444+0.6666666666666666=1.6111111111111112>>1.6111111111111112 tons of soap ### Answer: 1.6111111111111112
Expected answer: 29/18
Correct? Yes
Problem: Mark bought a sleeping bag that was 19/2 feet long. However, he decides to cut off 13/12 feet from it to fit his height. How long is his sleeping bag now?
DeepSeek Math 7B Base:
Reasoning: Mark's sleeping bag is now 19/2-13/12 = <<19/2-13/12=11/12>>11/12 feet long. ### Answer: 11/12
Expected answer: 101/12
Correct? No
Problem: At the zoo, Mary feeds 6/20 pounds of food to the monkeys, and 18/15 pounds of food to the giraffes. How many pounds of food in total has she given to the monkeys and giraffes?
DeepSeek Math 7B Base:
Reasoning: Mary feeds 6/20 = <<6/20=0.3>>0.3 pounds of food to the monkeys, and 18/15 = <<18/15=1.2>>1.2 pounds of food to the giraffes. Mary feeds 0.3+1.2 = <<0.3+1.2=1.5>>1.5 pounds of food in total to the monkeys and giraffes. ### Answer: 1.5
Expected answer: 3/2
Correct? Yes
Problem: After feeding the monkeys and giraffes, Mary then feeds the elephants 19/11 pounds of food. How many pounds of food in total has she given to the monkeys, giraffes, and elephants at the zoo?
DeepSeek Math 7B Base:
Reasoning: Mary feeds 1.5 pounds of food to the monkeys and giraffes, and 19/11 = <<19/11=1.7272727272727273>>1.7272727272727273 pounds of food to the elephants. Mary feeds 1.5+1.7272727272727273 = <<1.5+1.7272727272727273=3.2272727272727273>>3.2272727272727273 pounds of food in total to the monkeys, giraffes, and elephants. ### Answer: 3.2272727272727273
Expected answer: 71/22
Correct? No
Problem: Originally, Mary had given the monkeys 6/20 pounds of food and the giraffes 18/15 pounds of food. But what if she had made a mistake, and she actually gave the giraffes 18/19 pounds of food instead? How many pounds of food in total did she then give to the monkeys and giraffes?
DeepSeek Math 7B Base:
Reasoning: Mary gave 6/20 = <<6/20=0.3>>0.3 pounds of food to the monkeys, and 18/15 = <<18/15=1.2>>1.2 pounds of food to the giraffes. Mary gave 0.3+1.2 = <<0.3+1.2=1.5>>1.5 pounds of food in total to the monkeys and giraffes. ### Answer: 1.5
Expected answer: 237/190
Correct? No
Problem: Albert has a deck of 20/17 full sets of cards to start. He then collects another full set of 4/1 cards. How many full sets of cards does he have now?
DeepSeek Math 7B Base:
Reasoning: Albert has 20/17+4/1 = <<20/17+4/1=20/17+68/17=88/17>>88/17 full sets of cards. ### Answer: 88/17
Expected answer: 88/17
Correct? Yes
Problem: Instead of collecting a full set of 4/1 cards, what if Albert had only managed to find 4/11 of a full set? Adding this to his initial 20/17 full sets, how many full sets of cards does he have now?
DeepSeek Math 7B Base:
Reasoning: Albert has 20/17+4/11 = <<20/17+4/11=20/17+44/17=64/17>>64/17 full sets of cards. ### Answer: 64/17
Expected answer: 288/187
Correct? No
Problem: A jeweler has 5/14 pound of silver and adds 18/19 pounds more to the supply. How many pounds of silver does the jeweler have now to make rings?
DeepSeek Math 7B Base:
Reasoning: The jeweler has 5/14+18/19 = <<5/14+18/19=1.0000000000000002>>1.0000000000000002 pounds of silver. ### Answer: 1.0000000000000002
Expected answer: 347/266
Correct? No
Problem: A turtle starts at a point and moves 11 meters northward. Then, it moves 15/15 of a meter back towards the starting point. How many meters is the turtle from its starting point after these two movement?
DeepSeek Math 7B Base:
Reasoning: The turtle is 11-15/15 = <<11-15/15=10>>10 meters from its starting point after these two movements. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Continuing from the prior situation, the turtle then decided to move further, walking an additional 15/20 of a meter towards the same direction. How many meters is the turtle from its original starting point now?
DeepSeek Math 7B Base:
Reasoning: The turtle is 10+15/20 = <<10+15/20=10.75>>10.75 meters from its original starting point now. ### Answer: 10.75
Expected answer: 43/4
Correct? Yes
Problem: Reconsider the previous scenario, but this time the turtle returns 15/8 of a meter back towards the starting point instead of the former 15/15 meters. Now, how many meters is the turtle from its starting point after these two movements?
DeepSeek Math 7B Base:
Reasoning: The turtle is 11-15/8 = <<11-15/8=10.375>>10.375 meters from its starting point after these two movements. ### Answer: 10.375
Expected answer: 73/8
Correct? No
Problem: Chloe has a chocolate bar that is 19/2 ounces. If she eats a piece that is 17/2 ounces, how many ounces of chocolate does she have left?
DeepSeek Math 7B Base:
Reasoning: Chloe has 19/2 - 17/2 = <<19/2-17/2=1>>1 ounce of chocolate left. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After Chloe eats a piece of the chocolate bar, she decides to add a piece from another chocolate bar. The piece from the other bar weighs 4/14 ounces. How many ounces of chocolate does Chloe have now?
DeepSeek Math 7B Base:
Reasoning: Chloe has 1 + 4/14 = <<1+4/14=1.2857142857142858>>1.2857142857142858 ounces of chocolate now. ### Answer: 1.2857142857142858
Expected answer: 9/7
Correct? Yes
Problem: Originally, Chloe had a chocolate bar that was 19/2 ounces. What if instead, at the beginning she had eaten a piece that was 9/2 ounces? How many ounces of chocolate would she have had left then?
DeepSeek Math 7B Base:
Reasoning: Chloe has 19/2 - 9/2 = <<19/2-9/2=10>>10 ounces of chocolate left. ### Answer: 10
Expected answer: 5
Correct? No
Problem: Sammy has a backpack with a capacity of 20/9 liters. If he adds another pouch to the backpack that can hold 8/4 more liters, what will be the total capacity of his backpack?
DeepSeek Math 7B Base:
Reasoning: Sammy's backpack can hold 20/9+8/4 = <<20/9+8/4=20/9+16/4=20/9+4>>20/9+4 liters. ### Answer: 20/9+4
Expected answer: 38/9
Correct? No
Problem: Captain Hook has 11/8 ounces of gold. He finds an additional 5/5 ounces of gold on his latest treasure hunt. What is the total weight of the gold Captain Hook now has?
DeepSeek Math 7B Base:
Reasoning: Captain Hook has 11/8+5/5 = <<11/8+5/5=11/8+4/4=11/8+8/8=19/8>>19/8 ounces of gold. ### Answer: 19/8
Expected answer: 19/8
Correct? Yes
Problem: After counting his newly found gold, Captain Hook discovers an additional 7/11 ounces of gold hidden in a small pouch he had forgotten about. What is the total weight of all the gold Captain Hook now has?
DeepSeek Math 7B Base:
Reasoning: Captain Hook has 19/8+7/11 = <<19/8+7/11=199/88>>199/88 ounces of gold. ### Answer: 199/88
Expected answer: 265/88
Correct? No
Problem: In the previous treasure hunt, Captain Hook had originally found 11/8 ounces of gold. But let's say, instead of finding 5/5 ounces of gold as he did in his latest treasure hunt, he discovered 7/5 ounces of gold. How much total weight of gold would Captain Hook have had then?
DeepSeek Math 7B Base:
Reasoning: Captain Hook has 11/8+7/5 = <<11/8+7/5=55/40+56/40=111/40>>111/40 ounces of gold. ### Answer: 111/40
Expected answer: 111/40
Correct? Yes
Problem: If Jake originally had 9/10 of a dollar and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?
DeepSeek Math 7B Base:
Reasoning: Jake originally had 9/10 of a dollar. Jake received an additional 20/15 of a dollar. Jake has 9/10 + 20/15 = <<9/10+20/15=1.7>>1.7 dollars in his wallet now. ### Answer: 1.7
Expected answer: 67/30
Correct? No
Problem: Paul has built the front half of a chair that measures 5/2 feet high. He also constructs the back portion of the chair that measures 20/14 feet. What is the combined height of the front and back portions of the chair that Paul has constructed?
DeepSeek Math 7B Base:
Reasoning: Paul has built the front half of a chair that measures 5/2 feet high. Paul has built the back portion of the chair that measures 20/14 feet. The combined height of the front and back portions of the chair that Paul has constructed is 5/2+20/14 = <<5/2+20/14=15/7>>15/7 feet. ### Answer: 15/7
Expected answer: 55/14
Correct? No
Problem: John has 5 shirts and he donated 12/9 of them to charity. How many shirts does he have left?
DeepSeek Math 7B Base:
Reasoning: John has 5-12/9 = <<5-12/9=13/9>>13/9 shirts left. ### Answer: 13/9
Expected answer: 11/3
Correct? No
Problem: Bob has a jacket that measures 14/3 meters in length. However, he finds the jacket is slightly too long for him so he decides to cut off 14/16 meter from the original length. What is the length of Bob's jacket after the alteration?
DeepSeek Math 7B Base:
Reasoning: Bob's jacket is now 14/3-14/16 = <<14/3-14/16=112/48-21/48=91/48>>91/48 meters long. ### Answer: 91/48
Expected answer: 91/24
Correct? No
Problem: Officer Max spends 2/6 part of an hour completing paperwork. Then, he spends 14/7 parts of an hour patrolling the neighborhood. How much time, in parts of an hour, does Officer Max use for these two tasks?
DeepSeek Math 7B Base:
Reasoning: Officer Max spends 2/6+14/7 = <<2/6+14/7=1>>1 part of an hour for these two tasks. ### Answer: 1
Expected answer: 7/3
Correct? No
Problem: John watched a movie for 10/12 of an hour and then watched a TV show for another 3/8 of an hour. What is the total time he spent watching in hours?
DeepSeek Math 7B Base:
Reasoning: John watched 10/12+3/8 = <<10/12+3/8=11/12>>11/12 of an hour. ### Answer: 11/12
Expected answer: 29/24
Correct? No
Problem: Mr. Carpenter makes crafting chairs a meticulous process. He takes 5/3 hours to build the frame and additional 10/13 hours to upholster it. How long does it take for him to build a chair from start to finish?
DeepSeek Math 7B Base:
Reasoning: Mr. Carpenter takes 5/3+10/13 = <<5/3+10/13=105/39>>105/39 hours to build a chair from start to finish. ### Answer: 105/39
Expected answer: 95/39
Correct? No
Problem: Anna has a bracelet that consists of small and large beads. The small beads are each 8/4 mm in diameter and the large beads are each 15/2 mm in diameter. If she adds a small and a large bead to her bracelet, what would be the total added diameter in mm?
DeepSeek Math 7B Base:
Reasoning: The total added diameter is 8/4 + 15/2 = <<8/4+15/2=11>>11 mm. ### Answer: 11
Expected answer: 19/2
Correct? No
Problem: A rocket travels 11/18 light-years to an alien planet, then travels another 8/2 light-years towards a distant star. What is the total distance covered by the rocket?
DeepSeek Math 7B Base:
Reasoning: The total distance covered by the rocket is 11/18+8/2 = <<11/18+8/2=11/18+48/18=59/18>>59/18 light-years. ### Answer: 59/18
Expected answer: 83/18
Correct? No
Problem: Johnathan needs 12/14 yards of one fabric to make a sleeping bag, and another 8/5 yards of a different fabric to create the liner. How many yards of fabric does he need in total to create his sleeping bag?
DeepSeek Math 7B Base:
Reasoning: Johnathan needs 12/14 + 8/5 = <<12/14+8/5=1.3666666666666667>>1.3666666666666667 yards of fabric. ### Answer: 1.3666666666666667
Expected answer: 86/35
Correct? No
Problem: In a forest, there are 5/4 acres of pine trees and 1/2 acre of oak trees. What is the total acreage of pine and oak trees in the forest?
DeepSeek Math 7B Base:
Reasoning: There are 5/4+1/2 = <<5/4+1/2=1.75>>1.75 acres of pine and oak trees in the forest. ### Answer: 1.75
Expected answer: 7/4
Correct? Yes
Problem: After further research, it is found that the forest actually had 5/3 acres of pine trees instead of 5/4 acres. Keeping the acreage of oak trees the same, what is the new total acreage of pine and oak trees in the forest?
DeepSeek Math 7B Base:
Reasoning: There are 5/3+1/2 = <<5/3+1/2=2.1666666666666665>>2.1666666666666665 acres of pine and oak trees in the forest. ### Answer: 2.1666666666666665
Expected answer: 13/6
Correct? Yes
Problem: Jake has 12/7 of a yard of fabric. He finds another piece that measures 2/14 of a yard. If he combines both pieces, how much fabric does he have to make his shirt?
DeepSeek Math 7B Base:
Reasoning: Jake has 12/7 + 2/14 = <<12/7+2/14=18/14>>18/14 yards of fabric. Jake has 18/14 = <<18/14=9/7>>9/7 yards of fabric. ### Answer: 9/7
Expected answer: 13/7
Correct? No
Problem: At a park, a special tree produces on average 10/4 kilograms of fruit every summer. In the winter, it loses some of its fruit, amounting to 12/20 kg. What is the difference in kilograms of the fruit from summer to winter?
DeepSeek Math 7B Base:
Reasoning: The tree produces 10/4-12/20 = <<10/4-12/20=1/2>>1/2 kg of fruit in the winter. The difference in kilograms of the fruit from summer to winter is 10/4-1/2 = <<10/4-1/2=1.5>>1.5 kg. ### Answer: 1.5
Expected answer: 19/10
Correct? No
Problem: A ballerina starts with a routine that lasts 13/5 minutes but decides to shorten it by 15/16 minutes. How long is her routine after shortening it?
DeepSeek Math 7B Base:
Reasoning: A ballerina starts with a routine that lasts 13/5 minutes but decides to shorten it by 15/16 minutes. The ballerina's routine is 13/5-15/16 = <<13/5-15/16=119/80>>119/80 minutes long after shortening it. ### Answer: 119/80
Expected answer: 133/80
Correct? No
Problem: Miss Daisy has 19/6 kg of fertilizers for her flowers. If she uses 17/20 kg on her roses, how much fertilizers does she have left to use on her other flowers?
DeepSeek Math 7B Base:
Reasoning: Miss Daisy has 19/6 - 17/20 = <<(19/6-17/20).to_f.round(2)>>0.62 kg of fertilizers left. ### Answer: 0.62
Expected answer: 139/60
Correct? No
Problem: Scientists have discovered that the moon is slowly moving away from Earth. If the distance increases by 4/16 meters every year, and unexpectedly there was an additional increase of 20/6 meters this year, what is the total change in distance this year?
DeepSeek Math 7B Base:
Reasoning: The total change in distance this year is 4/16+20/6 = <<4/16+20/6=1.3333333333333333>>1.3333333333333333 meters. ### Answer: 1.3333333333333333
Expected answer: 43/12
Correct? No
Problem: Bob has 11/3 dollars in one pocket of his wallet and 12/19 dollars in another pocket. How much money does he have in total in his wallet?
DeepSeek Math 7B Base:
Reasoning: Bob has 11/3 + 12/19 = <<11/3+12/19=107/57>>107/57 dollars in total in his wallet. ### Answer: 107/57
Expected answer: 245/57
Correct? No
Problem: In an ocean, a shark swims a distance of 5/5 miles in the morning and adds an additional 12/18 miles in the afternoon. How many miles in total did the shark swim that day?
DeepSeek Math 7B Base:
Reasoning: The shark swam 5/5 + 12/18 = <<5/5+12/18=13/9>>13/9 miles in total. ### Answer: 13/9
Expected answer: 5/3
Correct? No
Problem: Jim types 20 words in 16 seconds and Mary types 9 words in 4 seconds. How many words per second do Jim and Mary type in total?
DeepSeek Math 7B Base:
Reasoning: Jim types 20/16 = <<20/16=1.25>>1.25 words per second. Mary types 9/4 = <<9/4=2.25>>2.25 words per second. Jim and Mary type 1.25+2.25 = <<1.25+2.25=3.5>>3.5 words per second in total. ### Answer: 3.5
Expected answer: 7/2
Correct? Yes
Problem: After typing together, Jim and Mary decide to slow down their pace and reduce their combined typing speed by 2 words every 11 seconds. What becomes their new combined typing speed?
DeepSeek Math 7B Base:
Reasoning: Jim and Mary type 3.5 words per second in total. They reduce their combined typing speed by 2/11 = <<2/11=0.18181818181818182>>0.18181818181818182 words per second. Their new combined typing speed is 3.5-0.18181818181818182 = <<3.5-0.18181818181818182=3.318181818181818>>3.318181818181818 words per second. ### Answer: 3.318181818181818
Expected answer: 73/22
Correct? No
Problem: Max rode his scooter for 9/7 miles in the morning and then 1/9 miles less in the afternoon. How many miles did he ride his scooter in the afternoon?
DeepSeek Math 7B Base:
Reasoning: Max rode 9/7 - 1/9 = <<9/7-1/9=10/63>>10/63 miles in the afternoon. ### Answer: 10/63
Expected answer: 74/63
Correct? No
Problem: At a circus, a clown rode a unicycle for 9/8 hours. After a short break, she juggled for another 2/10 hours. How many hours in total did she perform?
DeepSeek Math 7B Base:
Reasoning: The clown rode a unicycle for 9/8 = <<9/8=1.125>>1.125 hours. The clown juggled for 2/10 = <<2/10=0.2>>0.2 hours. The clown performed 1.125+0.2 = <<1.125+0.2=1.325>>1.325 hours in total. ### Answer: 1.325
Expected answer: 53/40
Correct? Yes
Problem: Following her performances, the clown took a total break of 13/5 hours. How many hours remained after her performance time is subtracted from her total break time?
DeepSeek Math 7B Base:
Reasoning: The clown took a total break of 13/5 = <<13/5=2.6>>2.6 hours. The clown performed 1.325 hours. 2.6-1.325 = <<2.6-1.325=1.275>>1.275 hours remained after her performance time is subtracted from her total break time. ### Answer: 1.275
Expected answer: 51/40
Correct? Yes
Problem: In the previous problem, the clown juggled for 2/10 hours. Now suppose that she actually juggled for 9/10 hours instead. In this scenario, how many hours in total did she perform, if she still rode the unicycle for 9/8 hours?
DeepSeek Math 7B Base:
Reasoning: The clown rode a unicycle for 9/8 = <<9/8=1.125>>1.125 hours. The clown juggled for 9/10 = <<9/10=0.9>>0.9 hours. The clown performed 1.125+0.9 = <<1.125+0.9=2.025>>2.025 hours in total. ### Answer: 2.025
Expected answer: 81/40
Correct? Yes
Problem: If Timmy dumps 7/2 kg of sand into his sandbox and later adds another 1/2 kg, how much sand is now in his sandbox?
DeepSeek Math 7B Base:
Reasoning: Timmy has 7/2+1/2 = <<7/2+1/2=4>>4 kg of sand in his sandbox. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following the last scenario, if Timmy later dumps another 16/3 kg of sand into the sandbox, how much sand does the sandbox contain now?
DeepSeek Math 7B Base:
Reasoning: Timmy has 4+16/3 = <<4+16/3=22/3>>22/3 kg of sand in his sandbox. ### Answer: 22/3
Expected answer: 28/3
Correct? No
Problem: In the previous sandbox problem, if Timmy initially dumped 7/2 kg of sand into his sandbox but this time around, he decided to add only 1/20 kg of sand to it instead, how much sand is now in his sandbox?
DeepSeek Math 7B Base:
Reasoning: Timmy has 7/2+1/20 = <<7/2+1/20=36/20>>36/20 kg of sand in his sandbox. ### Answer: 36/20
Expected answer: 71/20
Correct? No
Problem: A wizard brewed a potion that required 18/8 ounces of moon roots and 11/7 ounces of stardust. How many ounces of ingredients did the wizard use in total to prepare the potion?
DeepSeek Math 7B Base:
Reasoning: The wizard used 18/8 + 11/7 = <<18/8+11/7=1.75+1.5714285714285714=3.3214285714285714>>3.3214285714285714 ounces of ingredients. ### Answer: 3.3214285714285714
Expected answer: 107/28
Correct? No
Problem: An alien UFO traveled 3/10 of a mile, then immediately traveled an additional 16/20 of a mile. How many miles did the UFO travel in total?
DeepSeek Math 7B Base:
Reasoning: The UFO traveled 3/10+16/20 = <<3/10+16/20=19/20>>19/20 of a mile. ### Answer: 19/20
Expected answer: 11/10
Correct? No
Problem: A chair manufacturing firm makes 4/14 of a chair every hour with one machine, and another machine makes 20/4 chairs. How many chairs are made by both machines in one hour?
DeepSeek Math 7B Base:
Reasoning: 4/14+20/4 = <<4/14+20/4=10>>10 chairs are made by both machines in one hour. ### Answer: 10
Expected answer: 37/7
Correct? No
Problem: A blue shark swam for 2/4 miles and a hammerhead shark swam for 7/10 miles. How many miles did they swim together?
DeepSeek Math 7B Base:
Reasoning: A blue shark swam for 2/4 = <<2/4=1/2>>1/2 miles and a hammerhead shark swam for 7/10 miles. They swam 1/2+7/10 = <<1/2+7/10=9/10>>9/10 miles together. ### Answer: 9/10
Expected answer: 6/5
Correct? No
Problem: Lisa has two milk bottles. One bottle has 8/18 gallons of milk while the other bottle has 18/8 gallons. How much milk does Lisa have in total?
DeepSeek Math 7B Base:
Reasoning: Lisa has 8/18+18/8 = <<8/18+18/8=1.0000000000000002>>1.0000000000000002 gallons of milk. ### Answer: 1.0000000000000002
Expected answer: 97/36
Correct? No
Problem: A tree grows 1/10 of its height every month. This month, it additionally has grown 12/6 feet due to a fertilizer being applied. How much has the tree grown in height this month?
DeepSeek Math 7B Base:
Reasoning: The tree has grown 12/6 = <<12/6=2>>2 feet due to the fertilizer. The tree has grown 1/10 = <<1/10=0.1>>0.1 feet every month. The tree has grown 2+0.1 = <<2+0.1=2.1>>2.1 feet this month. ### Answer: 2.1
Expected answer: 21/10
Correct? Yes
Problem: After growing 1/10 of its height and an additional 12/6 feet because of the fertilizer, the tree was then pruned, reducing its height by 1 foot. How much is the tree's height now?
DeepSeek Math 7B Base:
Reasoning: The tree has grown 12/6 = <<12/6=2>>2 feet due to the fertilizer. The tree has grown 1/10 = <<1/10=0.1>>0.1 feet every month. The tree has grown 2+0.1 = <<2+0.1=2.1>>2.1 feet this month. The tree is now 2.1-1 = <<2.1-1=1.1>>1.1 feet tall. ### Answer: 1.1
Expected answer: 11/10
Correct? Yes
Problem: In the previous problem, the tree was initially growing 1/10 of its height every month. Imagine instead that the tree was growing 4/10 of its height every month. If the tree additionally grew 12/6 feet due to a fertilizer, how much did the tree grow in height this particular month?
DeepSeek Math 7B Base:
Reasoning: The tree has grown 12/6 = <<12/6=2>>2 feet due to the fertilizer. The tree has grown 4/10 = <<4/10=0.4>>0.4 feet every month. The tree has grown 2+0.4 = <<2+0.4=2.4>>2.4 feet this month. ### Answer: 2.4
Expected answer: 12/5
Correct? Yes
Problem: John sets up a large tent that occupies an area of 13/11 acres. Later in the day, he decides to set up another smaller tent which occupies an area of 8/20 acres. What is the total area occupied by both tents?
DeepSeek Math 7B Base:
Reasoning: The area occupied by the smaller tent is 8/20 = <<8/20=2/5>>2/5 of the area of the larger tent. The area occupied by both tents is 13/11 + 2/5 = <<13/11+2/5=13/11+44/55=13/11+4/5=13/11+88/110=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11+8/10=13/11
Expected answer: 87/55
Correct? No
Problem: Captain Jack has a treasure map that shows the treasure is at a location that is (17 / 20) km to the East and then (15 / 3) km to the North from their starting point. How far must they travel in total to reach the treasure?
DeepSeek Math 7B Base:
Reasoning: Captain Jack must travel 17/20 + 15/3 = <<17/20+15/3=17/20+50/20=67/20>>67/20 km to reach the treasure. ### Answer: 67/20
Expected answer: 117/20
Correct? No
Problem: At a campfire, Sarah collected 11/20 of a pound of firewood and Alex collected 9/7 pounds. How many pounds of firewood did they collect in total?
DeepSeek Math 7B Base:
Reasoning: 11/20 + 9/7 = <<11/20+9/7=1.01>>1.01 pounds of firewood. ### Answer: 1.01 pounds
Expected answer: 257/140
Correct? No
Problem: Captain Bill sailed 19/5 miles north, before changing track and sailing an additional 12/15 miles north. How many miles north did Captain Bill sail in total?
DeepSeek Math 7B Base:
Reasoning: Captain Bill sailed 19/5+12/15 = <<19/5+12/15=19/3>>19/3 miles north. ### Answer: 19/3
Expected answer: 23/5
Correct? No
Problem: A restaurant uses 19/17 pounds of ham and 9/4 pounds of turkey for their signature sandwich. What is the total weight of the two types of meat per sandwich?
DeepSeek Math 7B Base:
Reasoning: The total weight of the two types of meat per sandwich is 19/17 + 9/4 = <<19/17+9/4=1.4666666666666666>>1.4666666666666666 pounds. ### Answer: 1.4666666666666666 pounds
Expected answer: 229/68
Correct? No
Problem: Lucy has a sleeping bag that is 18/19 meter long. She got an extension for her sleeping bag which made it 8/11 meter longer. What's the total length of the sleeping bag now?
DeepSeek Math 7B Base:
Reasoning: The sleeping bag is now 18/19 + 8/11 = <<18/19+8/11=104/199>>104/199 meter long. ### Answer: 104/199
Expected answer: 350/209
Correct? No
Problem: Sarah pours 10/13 gallon of water into a container. Then she adds another 8/2 gallons of water into it. How many total gallons of water are there in the container now?
DeepSeek Math 7B Base:
Reasoning: Sarah pours 10/13 + 8/2 = <<10/13+8/2=10/13+40/13=50/13>>50/13 gallons of water into the container. There are 50/13 gallons of water in the container now. ### Answer: 50/13
Expected answer: 62/13
Correct? No
Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. How many KGs of apples does she have left?
DeepSeek Math 7B Base:
Reasoning: Mandy has 9/2-1/4 = <<9/2-1/4=17/4>>17/4 KGs of apples left. ### Answer: 17/4
Expected answer: 17/4
Correct? Yes
Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. Afterwards, she finds 3/19 more KGs of apples in her refrigerator. How many KGs of apples does she have total now?
DeepSeek Math 7B Base:
Reasoning: Mandy has 9/2+1/4+3/19 = <<9/2+1/4+3/19=191/38>>191/38 KGs of apples total now. ### Answer: 191/38
Expected answer: 335/76
Correct? No
Problem: In the scenario where Mandy initially had 9/7 KGs of apples instead, and she still uses 1/4 KG of them for her apple pie, how many KGs of apples would she have left?
DeepSeek Math 7B Base:
Reasoning: Mandy has 9/7-1/4 = <<9/7-1/4=25/28>>25/28 KGs of apples left. ### Answer: 25/28
Expected answer: 29/28
Correct? No
Problem: John spends 12/7 hours fixing a watch and then spends an additional 3/9 hours polishing it. How many hours in total did he spent working on the watch?
DeepSeek Math 7B Base:
Reasoning: John spent 12/7+3/9 = <<12/7+3/9=13/7>>13/7 hours in total working on the watch. ### Answer: 13/7
Expected answer: 43/21
Correct? No
Problem: Peggy the Penguin was swimming and had traveled for 5/4 miles when she turned around to go back to her family. She swam back for 1/12 miles before deciding to rest. How many miles is Peggy from her family?
DeepSeek Math 7B Base:
Reasoning: Peggy swam 5/4-1/12 = <<5/4-1/12=11/12>>11/12 miles back. Peggy is 11/12 miles from her family. ### Answer: 11/12
Expected answer: 7/6
Correct? No
Problem: A farmer has a fields where he grows wheat. One part of the field is 4 acres and another part is 11/12 of an acre. How many acres in total does he use to grow wheat?
DeepSeek Math 7B Base:
Reasoning: The total area of the field is 4+11/12 = <<4+11/12=4.916666666666667>>4.916666666666667 acres. ### Answer: 4.916666666666667
Expected answer: 59/12
Correct? Yes
Problem: After measuring his fields, the farmer also remembered that he has an additional patch of land where he grows vegetables, which is 17/11 of an acre. With this additional patch included, what is his total land area in acres?
DeepSeek Math 7B Base:
Reasoning: The total area of the field is 4.916666666666667+17/11 = <<4.916666666666667+17/11=6.416666666666667>>6.416666666666667 acres. ### Answer: 6.416666666666667
Expected answer: 853/132
Correct? No
Problem: Earlier, the farmer had thought that one part of the wheat field was 4 acres. However, he later realized that it was actually 4/9 of an acre. Including the other part that was 11/12 of an acre, what is the corrected total land area in acres used to grow wheat now?
DeepSeek Math 7B Base:
Reasoning: The total area of the field is 4/9+11/12 = <<4/9+11/12=1.3055555555555555>>1.3055555555555555 acres. ### Answer: 1.3055555555555555
Expected answer: 49/36
Correct? No
Problem: If a dress designer used 11/4 yards of red fabric, and then added 5/17 yards of blue fabric, how many yards of fabric did she use in total?
DeepSeek Math 7B Base:
Reasoning: The designer used 11/4 + 5/17 = <<11/4+5/17=1.02>>1.02 yards of fabric. ### Answer: 1.02
Expected answer: 207/68
Correct? No
Problem: Jacob has 11/2 feet long guitar wire. If he uses 5/16 feet of it to fix a guitar, how much wire is remaining?
DeepSeek Math 7B Base:
Reasoning: Jacob has 11/2 - 5/16 = <<11/2-5/16=10.625>>10.625 feet of wire remaining. ### Answer: 10.625
Expected answer: 83/16
Correct? No
Problem: Samantha has a 4 fluid ounce tube of toothpaste. In one week, she uses 17/14 fluid ounces. How much toothpaste does she have left after that week?
DeepSeek Math 7B Base:
Reasoning: Samantha has 4-17/14 = <<4-17/14=13/14>>13/14 fluid ounces of toothpaste left. ### Answer: 13/14
Expected answer: 39/14
Correct? No
Problem: Maria has 12 candies. She gives each of her 6 friends an equal amount of candies. Maria also has 20 stickers and she gives each of her 20 friends a sticker. How many candies and stickers does each friend get in total?
DeepSeek Math 7B Base:
Reasoning: Maria gives 12/6 = <<12/6=2>>2 candies to each of her 6 friends. Maria gives 20/20 = <<20/20=1>>1 sticker to each of her 20 friends. Each friend gets 2+1 = <<2+1=3>>3 candies and stickers in total. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Maria initially had 12 candies and 20 stickers. Instead of having 6 friends, let's say she had 13 friends now. If she shares the candies among her 6 friends and the stickers among her 13 friends equally, how many candies and stickers does each friend get in total?
DeepSeek Math 7B Base:
Reasoning: Maria gives 12/6 = <<12/6=2>>2 candies to each of her 6 friends. Maria gives 20/13 = <<20/13=1.5384615384615384615384615384615>>1.5384615384615384615384615384615 stickers to each of her 13 friends. Each friend gets 2+1.5384615384615384615384615384615 = <<2+1.5384615384615384615384615384615=3.5384615384615384615384615384615>>3.5384615384615384615384615384615 candies and stickers in total. ### Answer: 3.5384615384615384615384615384615
Expected answer: 46/13
Correct? Yes
Problem: During a rainy day, the first rainfall lasted for 4/13 hours, and the next rainfall was a little longer and lasted for 11/5 hours. How many hours did it rain in total?
DeepSeek Math 7B Base:
Reasoning: The first rainfall lasted for 4/13 hours, and the next rainfall lasted for 11/5 hours. The total time it rained was 4/13+11/5 = <<4/13+11/5=1.0000000000000002>>1.0000000000000002 hours. ### Answer: 1.0000000000000002
Expected answer: 163/65
Correct? No
Problem: Jane cuts 10/12 yards of fabric from a blanket. Then, she cuts an additional 10/10 yard. How many yards of fabric has she cut from the blanket in total?
DeepSeek Math 7B Base:
Reasoning: Jane cuts 10/12+10/10 = <<10/12+10/10=10/12+12/12=22/12>>22/12 yards of fabric from the blanket. ### Answer: 22/12
Expected answer: 11/6
Correct? Yes
Problem: After cutting 10/12 yards and 10/10 yard from the blanket, Jane decides to cut an additional 4/12 yard. Now, how many yards of fabric has she cut from the blanket in total?
DeepSeek Math 7B Base:
Reasoning: Jane cuts 10/12+10/10+4/12 = <<10/12+10/10+4/12=10/12+12/12+4/12=26/12>>26/12 yards of fabric from the blanket. ### Answer: 26/12
Expected answer: 13/6
Correct? Yes
Problem: Originally, Jane cut 10/12 yard and then 10/10 yard from the blanket. However, consider if Jane had cut 11/12 yard instead of 10/12 yard at first, and then again cut 10/10 yard. How many yards of fabric would she have cut from the blanket now in this case?
DeepSeek Math 7B Base:
Reasoning: Jane cuts 11/12+10/10 = <<11/12+10/10=11/12+12/12=23/12>>23/12 yards of fabric from the blanket. ### Answer: 23/12
Expected answer: 23/12
Correct? Yes
Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then sprinkles an additional 9/10 oz of dust over a grove of enchanted apple trees. What is the total amount of magic dust the fairy used?
DeepSeek Math 7B Base:
Reasoning: The fairy sprinkled 11/12 + 9/10 = <<11/12+9/10=119/60>>119/60 oz of magic dust. ### Answer: 119/60
Expected answer: 109/60
Correct? No
Problem: A word game assigns 3/11 of a point for each vowel used and 8/10 of a point for each consonant. If you use 1 vowel and 1 consonant, what will your score be?
DeepSeek Math 7B Base:
Reasoning: 1 vowel and 1 consonant is 1+1 = <<1+1=2>>2 letters. 3/11 of a point for each vowel is 2*3/11 = <<2*3/11=6/11>>6/11 of a point. 8/10 of a point for each consonant is 2*8/10 = <<2*8/10=16/10>>16/10 of a point. 6/11+16/10 = <<6/11+16/10=106/110>>106/110 of a point. ### Answer: 106/110
Expected answer: 59/55
Correct? No
Problem: You are writing a letter that is 4/1 pages long. You remove 14/9 pages from it. How many pages is the letter now?
DeepSeek Math 7B Base:
Reasoning: You remove 14/9 = <<14/9=1.5555555555555556>>1.5555555555555556 pages from the letter. The letter is now 4/1 - 14/9 = <<4/1-14/9=-0.2222222222222222>>-0.2222222222222222 pages long. ### Answer: -0.2222222222222222
Expected answer: 22/9
Correct? No
Problem: Anne painted 16/20 of a table, and then Bob painted an additional 5/20 of the table. How much of the table has been painted in total?
DeepSeek Math 7B Base:
Reasoning: Anne painted 16/20 of a table, and then Bob painted an additional 5/20 of the table. 16/20+5/20 = <<16/20+5/20=21/20>>21/20 of the table has been painted in total. ### Answer: 21/20
Expected answer: 21/20
Correct? Yes
Problem: After Anne and Bob painted parts of the table, Carl decided to add to their work by painting another 11/5 of the table. Now, how much of the table has been painted in total?
DeepSeek Math 7B Base:
Reasoning: Anne and Bob painted 21/20 of the table, and then Carl painted an additional 11/5 of the table. 21/20+11/5 = <<21/20+11/5=101/20>>101/20 of the table has been painted in total. ### Answer: 101/20
Expected answer: 13/4
Correct? No
Problem: Suppose before Carl added more paint, instead of Bob painting an additional 5/20 of the table, he could only manage to paint 5/14 of it. In this case, how much of the table has been painted by Anne and Bob together?
DeepSeek Math 7B Base:
Reasoning: Anne painted 16/20 of a table, and then Bob painted an additional 5/14 of the table. 16/20+5/14 = <<16/20+5/14=101/70>>101/70 of the table has been painted in total. ### Answer: 101/70
Expected answer: 81/70
Correct? No
Problem: The star Alpha shines 17/3 times brighter than an average star, while the star Bravo shines 20/16 times as bright. How much brighter are both stars compared to an average star if you add up the relative brightness of these two stars?
DeepSeek Math 7B Base:
Reasoning: The star Alpha shines 17/3 = <<17/3=5.666666666666667>>5.666666666666667 times brighter than an average star. The star Bravo shines 20/16 = <<20/16=1.25>>1.25 times as bright. The sum of the relative brightness of these two stars is 5.666666666666667+1.25 = <<5.666666666666667+1.25=6.916666666666667>>6.916666666666667. ### Answer: 6.916666666666667
Expected answer: 83/12
Correct? Yes
Problem: Taking into account the previous situation, if we adjust the brightness of star Alpha such that it only shines 8/3 times brighter than an average star instead of 17/3 times, how much brighter would Alpha and Bravo combined be in comparison to an average star?
DeepSeek Math 7B Base:
Reasoning: The star Alpha shines 8/3 = <<8/3=2.666666666666667>>2.666666666666667 times brighter than an average star. The star Bravo shines 20/16 = <<20/16=1.25>>1.25 times as bright. The sum of the relative brightness of these two stars is 2.666666666666667+1.25 = <<2.666666666666667+1.25=3.916666666666667>>3.916666666666667. ### Answer: 3.916666666666667
Expected answer: 47/12
Correct? No
Problem: There are 17/20 kg of red apples and 18/8 kg of green apples in a grocery store. How many kilograms of apples are in the store in total?
DeepSeek Math 7B Base:
Reasoning: There are 17/20 + 18/8 = <<17/20+18/8=1.13>>1.13 kg of apples in the store. ### Answer: 1.13
Expected answer: 31/10
Correct? No
Problem: If a bus drives 12/20 of a mile then goes an additional 12/12 of a mile, how many miles did the bus travel in total?
DeepSeek Math 7B Base:
Reasoning: The bus drives 12/20 + 12/12 = <<12/20+12/12=12/10>>12/10 of a mile. The bus drives 12/10 = <<12/10=1.2>>1.2 miles. ### Answer: 1.2
Expected answer: 8/5
Correct? No
Problem: In the first hour, a shark swims 3/9 miles and in the second hour height increases its speed to swim 13/5 miles. How many miles does the shark swim in total in these two hours?
DeepSeek Math 7B Base:
Reasoning: The shark swims 3/9+13/5 = <<3/9+13/5=16/15>>16/15 miles in total in these two hours. ### Answer: 16/15
Expected answer: 44/15
Correct? No
Problem: A drummer hits a rhythm where they hit once every 17/17 seconds for the first beat and then 2/12 seconds for the second beat. How long does it take for the drummer to hit the two beats together?
DeepSeek Math 7B Base:
Reasoning: The first beat takes 17/17 = <<17/17=1>>1 second. The second beat takes 2/12 = <<2/12=1/6>>1/6 second. The total time is 1+1/6 = <<1+1/6=7/6>>7/6 seconds. ### Answer: 7/6
Expected answer: 7/6
Correct? Yes
Problem: Instead of hitting the first note every 17/17 seconds, the drummer decides to change the beat and hit it every 16/17 seconds. They're still hitting the second note every 2/12 seconds though. How long does it now take the drummer to hit the two beats together?
DeepSeek Math 7B Base:
Reasoning: The first beat takes 16/17 = <<16/17=16/17>>16/17 seconds. The second beat takes 2/12 = <<2/12=1/6>>1/6 second. The total time is 16/17+1/6 = <<16/17+1/6=101/102>>101/102 seconds. ### Answer: 101/102
Expected answer: 113/102
Correct? No
Problem: If a fireplace burns 12/17 cord of wood in the morning and 8/19 cord in the evening, what is the total cord of wood it burns in a day?
DeepSeek Math 7B Base:
Reasoning: A cord of wood is 128 cubic feet. The fireplace burns 12/17 + 8/19 = <<12/17+8/19=1.04>>1.04 cords of wood in a day. ### Answer: 1.04 cords of wood
Expected answer: 364/323
Correct? No
Problem: A butterfly's flight consisted of two segments. The first segment was 18/19 of a mile and the second was 9/17 of a mile. How long was the entire flight?
DeepSeek Math 7B Base:
Reasoning: The entire flight was 18/19 + 9/17 = <<18/19+9/17=1.0000000000000002>>1.0000000000000002 miles long. ### Answer: 1.0000000000000002
Expected answer: 477/323
Correct? No
Problem: While measuring a map, Jenna finds that the distance between two cities is 13/10 inches, and the distance from the second city to the third city is 14/15 inches. What is the total distance Jenna measured between the three cities on the map?
DeepSeek Math 7B Base:
Reasoning: The total distance is 13/10 + 14/15 = <<13/10+14/15=31/15>>31/15 inches. ### Answer: 31/15
Expected answer: 67/30
Correct? No
Problem: A helium balloon rises at a rate of 13/6 feet per second. After a gust of wind, its speed increases by 3/16 feet per second. What is the new speed of the balloon in feet per second?
DeepSeek Math 7B Base:
Reasoning: The new speed of the balloon is 13/6+3/16 = <<13/6+3/16=119/48>>119/48 feet per second. ### Answer: 119/48
Expected answer: 113/48
Correct? No
Problem: Scarlett has 16/10 gallons of red paint. If she uses 1/20 of a gallon for a small art project, how many gallons of red paint will she have left?
DeepSeek Math 7B Base:
Reasoning: Scarlett has 16/10 - 1/20 = <<16/10-1/20=15/10>>15/10 gallons of red paint left. ### Answer: 15/10
Expected answer: 31/20
Correct? No
Problem: Susie has a box of 12 chocolate bars. She decides to eat 2/5 of a chocolate bar herself. How many chocolate bars are left in the box?
DeepSeek Math 7B Base:
Reasoning: Susie eats 2/5 of 12 = <<2/5*12=4.8>>4.8 chocolate bars. There are 12-4.8 = <<12-4.8=7.2>>7.2 chocolate bars left in the box. ### Answer: 7.2
Expected answer: 58/5
Correct? No
Problem: A plane is flying at an altitude of 2 miles, then it descends by 10/15 of a mile. What is the new altitude of the plane?
DeepSeek Math 7B Base:
Reasoning: The plane descends by 10/15 of a mile, so the new altitude is 2-10/15 = <<2-10/15=1.3333333333333333>>1.3333333333333333 miles. ### Answer: 1.3333333333333333
Expected answer: 4/3
Correct? Yes
Problem: What if the plane initially flew at a lower altitude, only 2 miles high, before it descended 12/15 of a mile? What would be the altitude of the plane after this descent?
DeepSeek Math 7B Base:
Reasoning: The plane descends by 12/15 of a mile, so the new altitude is 2-12/15 = <<2-12/15=1.6>>1.6 miles. ### Answer: 1.6
Expected answer: 6/5
Correct? No
Problem: A child goes down a slide that's 6/19 meters long, and then goes down another slide that's 17/4 meters long. How many total meters did they slide?
DeepSeek Math 7B Base:
Reasoning: The child went down 6/19+17/4 = <<6/19+17/4=1.0000000000000002>>1.0000000000000002 meters. ### Answer: 1.0000000000000002
Expected answer: 347/76
Correct? No
Problem: A colonial fireplace burns firewood at a rate of 4/15 cords per hour in the early morning. In the late night, the rate increases to 14/15 cords per hour. How much firewood does the fireplace burn in total in one hour split between the early morning and late night?
DeepSeek Math 7B Base:
Reasoning: The fireplace burns 4/15+14/15 = <<4/15+14/15=18/15>>18/15 cords of firewood in one hour. ### Answer: 18/15
Expected answer: 6/5
Correct? Yes
Problem: If the colonial fireplace burns firewood at a combined rate of 4/15 cords per hour in the early morning and 14/15 cords per hour in the late night, and during the peak hours, it burns an additional 6/5 cords per hour. Then how much total firewood does the fireplace burn in one hour considering early morning, late night, and peak hours?
DeepSeek Math 7B Base:
Reasoning: The fireplace burns 4/15+14/15+6/5 = <<4/15+14/15+6/5=10/3>>10/3 cords of firewood in one hour. ### Answer: 10/3
Expected answer: 12/5
Correct? No
Problem: Continuing from the previous scenario, let's suppose the colonial fireplace in the early morning burns firewood at a slightly different rate of 8/15 cords per hour instead of 4/15 cords per hour. The late night burning rate remains the same at 14/15 cords per hour. Given these new circumstances, how much firewood does the fireplace burn in total in one hour split between the early morning and late night?
DeepSeek Math 7B Base:
Reasoning: The fireplace burns 8/15+14/15 = <<8/15+14/15=22/15>>22/15 cords of firewood in one hour. ### Answer: 22/15
Expected answer: 22/15
Correct? Yes
Problem: An alien travelled 9/20 of a light year towards earth then decided to move forward another 11/7 light years. How many light years has the alien travelled in total?
DeepSeek Math 7B Base:
Reasoning: The alien travelled 9/20+11/7 = <<(9/20+11/7)/1=1.0000000000000002>>1.0000000000000002 light years in total. ### Answer: 1.0000000000000002
Expected answer: 283/140
Correct? No
Problem: If Bob has 10/2 of a cucumber and he adds it to 1/7 of another cucumber, how many cucumbers does he have in total?
DeepSeek Math 7B Base:
Reasoning: Bob has 10/2 = <<10/2=5>>5 of a cucumber. Bob has 1/7 = <<1/7=0.14285714285714285>>0.14285714285714285 of another cucumber. Bob has 5+0.14285714285714285 = <<5+0.14285714285714285=5.1428571428571425>>5.1428571428571425 cucumbers in total. ### Answer: 5.1428571428571425
Expected answer: 36/7
Correct? No