train-once-answer-all
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Modes and datasets for the paper "Train Once, Answer All: Many Pretraining Experiments for the Cost of One", ICLR 2026 • 7 items • Updated
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Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Spider Web Exhibit's Cave Salamander equals 20. The number of each Ladybug Loft's Cave Salamander equals 20 times as much as each Ant Farm's Animal. The number of each Spider Web Exhibit's Frog equals 13 times as much as the sum of each Spider Web Exhibit's Cave Salamander and each Spider Web Exhibit's Spotted Salamander. The number of each Ladybug Loft's Spotted Salamander equals the sum of each Ladybug Loft's Frog, each Ant Farm's Animal and each Ladybug Loft's Cave Salamander. The number of each Ladybug Loft's Frog equals 4. The number of each Spider Web Exhibit's Spotted Salamander equals 9. How many Animal does Ant Farm have?
Solution: Define Ant Farm's Animal as K; so K = 0.
Answer: 0
Problem 2: The number of each Anatomy Lab's Padded Backpack equals 8 more than each Physical Chemistry Lab's Padded Backpack. The number of each Anatomy Lab's Anti-Theft Backpack equals 4 times as much as each Padded Backpack's Document Box. The number of each Northridge High's Anatomy Lab equals the sum of each Padded Backpack's Ring Binder, each Northridge High's Physical Chemistry Lab, each Anatomy Lab's Anti-Theft Backpack and each Crestwood Secondary's Physical Chemistry Lab. The number of each Crestwood Secondary's Anatomy Lab equals 19. The number of each Padded Backpack's Document Box equals 5. The number of each Padded Backpack's Ring Binder equals the difference of each Crestwood Secondary's Physical Chemistry Lab and each Padded Backpack's Document Box. The number of each Anti-Theft Backpack's Ring Binder equals the sum of each Physical Chemistry Lab's Padded Backpack and each Crestwood Secondary's Physical Chemistry Lab. The number of each Northridge High's Physical Chemistry Lab equals each Anatomy Lab's Anti-Theft Backpack. The number of each Crestwood Secondary's Physical Chemistry Lab equals 17 times as much as each Padded Backpack's Document Box. The number of each Physical Chemistry Lab's Padded Backpack equals 18. The number of each Physical Chemistry Lab's Anti-Theft Backpack equals 22 times as much as each Anatomy Lab's Padded Backpack. How many Document Box does Padded Backpack have?
Solution: Define Padded Backpack's Document Box as n; so n = 5.
Answer: 5
Problem 3: The number of each Brackish Water's Unicorn equals 6. The number of each Seagrass Meadows's Unicorn equals the sum of each Benthic Zone's Creatures, each Benthic Zone's Sphinx and each Seagrass Meadows's Sphinx. The number of each Benthic Zone's Sphinx equals 20. The number of each Seagrass Meadows's Sphinx equals 22 more than each Hydrothermal Vent's Kraken. The number of each Hydrothermal Vent's Griffin equals each Hydrothermal Vent's Kraken. The number of each Hydrothermal Vent's Kraken equals 9. The number of each Brackish Water's Griffin equals 13. How many Kraken does Hydrothermal Vent have?
Solution: Define Hydrothermal Vent's Kraken as W; so W = 9.
Answer: 9
Problem 4: The number of each Insectarium of Boston's Falcon Aviary equals the sum of each Tuna's Bone and each Marlin's Distal Phalanges. The number of each Tuna's Coracoid equals 21. The number of each Swan Lake's Marlin equals 16 times as much as each Insectarium of Washington DC's Enclosure. The number of each Falcon Aviary's Tuna equals 6. The number of each Marlin's Distal Phalanges equals 11. The number of each Insectarium of Boston's Swan Lake equals the sum of each Insectarium of Washington DC's Enclosure, each Insectarium of Washington DC's Animal and each Marlin's Distal Phalanges. How many Distal Phalanges does Marlin have?
Solution: | 0 | Define Marlin's Distal Phalanges as z; so z = 11. | 11 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Cartilage's Sensory Neurons equals 14 more than each Puffer Fish's Organs. The number of each Puffer Fish's Biceps equals 12 times as much as each Hamstrings's Cells. The number of each Temperate Deciduous Forest's Crab equals 11 times as much as each Biceps's Cerebral Cortex Neurons. The number of each Cartilage's Cerebral Cortex Neurons equals 15 times as much as each Temperate Broadleaf Forest's Crab. The number of each Crab's Hamstrings equals 5. The number of each Hamstrings's Sensory Neurons equals 10. The number of each Crab's Biceps equals each Biceps's Cerebral Cortex Neurons. The number of each Biceps's Cerebral Cortex Neurons equals 4. The number of each Temperate Deciduous Forest's Puffer Fish equals the sum of each Hamstrings's Cells, each Hamstrings's Sensory Neurons and each Temperate Broadleaf Forest's Crab. The number of each Puffer Fish's Cartilage equals the difference of each Cartilage's Cerebral Cortex Neurons and each Temperate Deciduous Forest's Puffer Fish. The number of each Crab's Cartilage equals each Temperate Broadleaf Forest's Crab. The number of each Temperate Broadleaf Forest's Crab equals 9. The number of each Temperate Broadleaf Forest's Puffer Fish equals each Biceps's Cerebral Cortex Neurons. The number of each Biceps's Sensory Neurons equals the sum of each Temperate Deciduous Forest's Organs and each Hamstrings's Cells. How many Sensory Neurons does Hamstrings have?
Solution: Define Hamstrings's Sensory Neurons as W; so W = 10.
Answer: 10
Problem 2: The number of each E coli's Triceps equals 22 more than the sum of each Amoeba's Organs, each Amoeba's Triceps and each Triceps's Erythroblasts. The number of each Triceps's Erythroblasts equals 1. The number of each Triceps's Basophils equals 14. The number of each Savanna's Amoeba equals the sum of each Amoeba's Organs and each E coli's Triceps. The number of each Amoeba's Triceps equals 18. The number of each E coli's Spine equals 3. The number of each Northern Grassland's Amoeba equals 1 times as much as each Amoeba's Triceps. The number of each Savanna's E coli equals 3 more than the sum of each Amoeba's Cells and each E coli's Triceps. The number of each Northern Grassland's E coli equals each Amoeba's Cells. How many Cells does Spine have?
Solution: Define Spine's Cells as n; so n = 0.
Answer: 0
Problem 3: The number of each Riparian Forest's Daphnia equals the sum of each E coli's Elbow Joint, each Montane Forest's Daphnia and each Radiolarian's Elbow Joint. The number of each Patella's Red Blood Cells equals 13. The number of each Secondary Forest's E coli equals 9 more than the sum of each Patella's Megakaryocytes, each E coli's Organs and each Daphnia's Elbow Joint. The number of each Radiolarian's Elbow Joint equals the sum of each Riparian Forest's Radiolarian and each Montane Forest's Daphnia. The number of each Daphnia's Patella equals 22. The number of each Elbow Joint's Monocytes equals each Riparian Forest's Radiolarian. The number of each Riparian Forest's E coli equals 8. The number of each E coli's Elbow Joint equals 14. The number of each Radiolarian's Knee Joint equals each Knee Joint's Red Blood Cells. The number of each Patella's Megakaryocytes equals 12 more than each Patella's Red Blood Cells. The number of each Elbow Joint's Megakaryocytes equals the sum of each Daphnia's Elbow Joint, each Patella's Megakaryocytes and each Riparian Forest's Radiolarian. The number of each Montane Forest's Daphnia equals 17. The number of each Daphnia's Elbow Joint equals 12 times as much as each E coli's Elbow Joint. The number of each Riparian Forest's Radiolarian equals the sum of each Daphnia's Elbow Joint and each E coli's Elbow Joint. The number of each Knee Joint's Megakaryocytes equals 11 times as much as each Radiolarian's Elbow Joint. The number of each Knee Joint's Red Blood Cells equals each Daphnia's Elbow Joint. How many Red Blood Cells does Patella have?
Solution: Define Patella's Red Blood Cells as H; so H = 13.
Answer: 13
Problem 4: The number of each Rosewood University's Anthropology Lab equals 12. The number of each Anthropology Lab's Work Rucksack equals 20 times as much as each Starlight University's Anthropology Lab. The number of each Starlight University's Archeology Lab equals 12 times as much as each Rosewood University's Anthropology Lab. The number of each Archeology Lab's Camera Backpack equals each Starlight University's Anthropology Lab. The number of each Starlight University's Anthropology Lab equals each Anthropology Lab's Camera Backpack. The number of each Anthropology Lab's Camera Backpack equals 12. The number of each Archeology Lab's Work Rucksack equals 4 more than each Starlight University's Archeology Lab. The number of each Rosewood University's Archeology Lab equals 14 times as much as each Archeology Lab's Backpack. How many Anthropology Lab does Rosewood University have?
Solution: | 1 | Define Rosewood University's Anthropology Lab as A; so A = 12. | 12 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Gecko Greenhouse's Squirrel equals 16. The number of each Gecko Greenhouse's Tiger equals 5 more than each Tortoise Garden's Animal. How many Animal does Tortoise Garden have?
Solution: Define Tortoise Garden's Animal as X; so X = 0.
Answer: 0
Problem 2: The number of each Saphenous Vein's Myoblasts equals 18. The number of each Moose's Aortic Valve equals 7 more than the difference of each Aortic Valve's Myoepithelial Cells and each Zebra's Saphenous Vein. The number of each Aortic Valve's Cardiac Muscle Cells equals the difference of each Moose's Aortic Valve and each Aortic Valve's Myoepithelial Cells. The number of each Venules's Myoblasts equals 2. The number of each Zebra's Aortic Valve equals the sum of each Moose's Aortic Valve and each Aortic Valve's Cardiac Muscle Cells. The number of each Zebra's Venules equals 17 times as much as each Aortic Valve's Cardiac Muscle Cells. The number of each Moose's Venules equals 2 more than each Bengal Tiger's Cells. The number of each Saphenous Vein's Myoepithelial Cells equals 13 times as much as each Moose's Venules. The number of each Aortic Valve's Myoepithelial Cells equals 12. The number of each Aortic Valve's Myoblasts equals 16 times as much as each Saphenous Vein's Myoblasts. The number of each Zebra's Saphenous Vein equals each Aortic Valve's Myoepithelial Cells. The number of each Saphenous Vein's Cardiac Muscle Cells equals 22 more than the sum of each Aortic Valve's Myoepithelial Cells, each Zebra's Saphenous Vein and each Bengal Tiger's Cells. How many Myoblasts does Saphenous Vein have?
Solution: Define Saphenous Vein's Myoblasts as y; so y = 18.
Answer: 18
Problem 3: The number of each Houston Zoo's Ladybug Loft equals each Houston Zoo's Insect House. The number of each Edinburgh Zoo's Cricket Chorus equals 17 times as much as each Ladybug Loft's Dove. The number of each Ladybug Loft's Hummingbird equals 22 times as much as the sum of each Ladybug Loft's Dove, each Edinburgh Zoo's Enclosure and each Houston Zoo's Enclosure. The number of each Ladybug Loft's Dove equals 11. The number of each Houston Zoo's Insect House equals 14. How many Insect House does Houston Zoo have?
Solution: Define Houston Zoo's Insect House as v; so v = 14.
Answer: 14
Problem 4: The number of each Unicorn's Bronchioles equals the sum of each Banshee's Larynx and each Hydrothermal Vent's Vampire. The number of each Freshwater Lake's Banshee equals 16. The number of each Banshee's Bronchioles equals each River Ecosystem's Unicorn. The number of each Unicorn's Larynx equals the difference of each Freshwater Lake's Banshee and each Freshwater Lake's Unicorn. The number of each Hydrothermal Vent's Banshee equals 1. The number of each River Ecosystem's Unicorn equals 20 more than each Freshwater Lake's Banshee. The number of each Banshee's Larynx equals the sum of each Freshwater Lake's Banshee, each Hydrothermal Vent's Banshee and each Vampire's Organs. The number of each Freshwater Lake's Unicorn equals 9 more than the sum of each Freshwater Lake's Banshee and each River Ecosystem's Unicorn. The number of each Vampire's Larynx equals the sum of each Hydrothermal Vent's Vampire and each Hydrothermal Vent's Banshee. The number of each Banshee's Trachea equals each Hydrothermal Vent's Vampire. The number of each River Ecosystem's Vampire equals the sum of each Unicorn's Bronchioles and each Banshee's Bronchioles. The number of each Hydrothermal Vent's Unicorn equals 4 times as much as the sum of each Unicorn's Larynx, each Vampire's Larynx and each River Ecosystem's Unicorn. The number of each Hydrothermal Vent's Vampire equals each Hydrothermal Vent's Banshee. How many Banshee does Hydrothermal Vent have?
Solution: | 2 | Define Hydrothermal Vent's Banshee as b; so b = 1. | 1 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Environmental Science Lab's Canvas Backpack equals the sum of each Westwood High's Backpack and each Canvas Backpack's Stationery. The number of each Rosewood High's Environmental Science Lab equals each Environmental Science Lab's Backpack. The number of each Geology Lab's Printed Backpack equals each Printed Backpack's Card Holder. The number of each Geology Lab's Canvas Backpack equals 8. The number of each Printed Backpack's Card Holder equals 6 more than each Geology Lab's Canvas Backpack. The number of each Printed Backpack's Box File equals 4. The number of each Rosewood High's Geology Lab equals the difference of each Canvas Backpack's Stationery and each Westwood High's Backpack. How many Backpack does Westwood High have?
Solution: Define Westwood High's Backpack as b; so b = 0.
Answer: 0
Problem 2: The number of each Coastal Ecosystem's Condor equals 21. The number of each Parrot's Spinal Nerves equals 17. The number of each Condor's Spinal Nerves equals each Parrot's Pons. The number of each Coastal Ecosystem's Parrot equals 7. The number of each Stream Ecosystem's Condor equals each Parrot's Spinal Nerves. The number of each Parrot's Pons equals 11 more than each Coastal Ecosystem's Parrot. How many Parrot does Coastal Ecosystem have?
Solution: Define Coastal Ecosystem's Parrot as s; so s = 7.
Answer: 7
Problem 3: The number of each Peacock's Scapula equals 21. The number of each Canary's Carpometacarpus equals 6. The number of each Peacock's Tertials equals 7 times as much as the sum of each Canary's Carpometacarpus and each Canary's Bone. The number of each Swan's Alula equals 21. How many Scapula does Peacock have?
Solution: Define Peacock's Scapula as f; so f = 21.
Answer: 21
Problem 4: The number of each North Star Elementary's Ceramics Studio equals 6 times as much as each Brookside Elementary's Language Classroom. The number of each Pleasant Hill Primary's Film Studio equals 18 times as much as the sum of each Brookside Elementary's Classroom and each Brookside Elementary's Language Classroom. The number of each North Star Elementary's Cultural Studies Classroom equals each Forest Glen Primary's Cultural Studies Classroom. The number of each Pleasant Hill Primary's Cultural Studies Classroom equals 12. The number of each North Star Elementary's Film Studio equals 12. The number of each Brookside Elementary's Language Classroom equals 3. The number of each Forest Glen Primary's Cultural Studies Classroom equals 1 times as much as the sum of each Brookside Elementary's Language Classroom and each North Star Elementary's Ceramics Studio. How many Cultural Studies Classroom does Pleasant Hill Primary have?
Solution: | 3 | Define Pleasant Hill Primary's Cultural Studies Classroom as N; so N = 12. | 12 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Crab's Pleural Cavity equals 8 times as much as the difference of each Pelagic Zone's Puffer Fish and each River Ecosystem's Puffer Fish. The number of each Manta Ray's Pleural Cavity equals 0. The number of each River Ecosystem's Puffer Fish equals 4. The number of each Pelagic Zone's Manta Ray equals 1. The number of each Puffer Fish's Lungs equals each Deep Sea Ecosystem's Creatures. The number of each Deep Sea Ecosystem's Manta Ray equals 11 times as much as each River Ecosystem's Puffer Fish. The number of each River Ecosystem's Manta Ray equals 10 more than the sum of each River Ecosystem's Puffer Fish and each Deep Sea Ecosystem's Manta Ray. The number of each Pelagic Zone's Puffer Fish equals 3 times as much as each Puffer Fish's Lungs. The number of each Crab's Vocal Cords equals each River Ecosystem's Puffer Fish. The number of each River Ecosystem's Crab equals the difference of each Puffer Fish's Organs and each Crab's Vocal Cords. How many Manta Ray does Pelagic Zone have?
Solution: Define Pelagic Zone's Manta Ray as N; so N = 1.
Answer: 1
Problem 2: The number of each Canned Beans's Lime equals each MOM's Organic Market's Canned Beans. The number of each Archaeological District's MOM's Organic Market equals each Canned Beans's Pear. The number of each Historic Plantation's Nature's Food Patch equals 13. The number of each MOM's Organic Market's Canned Meats equals the sum of each Canned Meats's Ingredient, each Canned Beans's Pear, each Archaeological District's Supermarket and each Canned Meats's Lime. The number of each MOM's Organic Market's Canned Beans equals each Historic Plantation's Nature's Food Patch. The number of each Canned Meats's Lime equals 5 times as much as each Archaeological District's MOM's Organic Market. The number of each Canned Beans's Pear equals 9. The number of each Nature's Food Patch's Canned Beans equals each Historic Plantation's Nature's Food Patch. The number of each Historic Plantation's MOM's Organic Market equals 6. How many Pear does Canned Beans have?
Solution: Define Canned Beans's Pear as K; so K = 9.
Answer: 9
Problem 3: The number of each Meerkat Manor's Flounder equals 17. The number of each Meerkat Manor's Bass equals 18. The number of each Flounder's Proximal Phalanges equals each Bass's Scapula. The number of each Insectarium of Chicago's Bear Den equals each Meerkat Manor's Bass. The number of each Montreal Insectarium's Meerkat Manor equals 18 times as much as each Bear Den's Animal. The number of each Bass's Scapula equals 21. How many Bass does Meerkat Manor have?
Solution: Define Meerkat Manor's Bass as O; so O = 18.
Answer: 18
Problem 4: The number of each Panda's Proximal Phalanges equals 0. The number of each Addo Elephant National Park's Reptile House equals 4. The number of each Tarangire National Park's Toad Abode equals each Cheetah's Ulna. The number of each Anaconda Exhibit's Panda equals 6 times as much as the sum of each Reptile House's Cheetah, each Panda's Ulna and each Reptile House's Panda. The number of each Addo Elephant National Park's Anaconda Exhibit equals each Cheetah's Proximal Phalanges. The number of each Anaconda Exhibit's Cheetah equals 19. The number of each Addo Elephant National Park's Toad Abode equals the sum of each Anaconda Exhibit's Animal, each Reptile House's Cheetah, each Panda's Ulna and each Addo Elephant National Park's Reptile House. The number of each Tarangire National Park's Reptile House equals 8. The number of each Cheetah's Proximal Phalanges equals 12. The number of each Lake Nakuru National Park's Anaconda Exhibit equals each Cheetah's Ulna. The number of each Cheetah's Ulna equals the difference of each Reptile House's Cheetah and each Anaconda Exhibit's Panda. The number of each Toad Abode's Panda equals 7. The number of each Reptile House's Cheetah equals 6. The number of each Panda's Ulna equals 14. The number of each Tarangire National Park's Anaconda Exhibit equals 15. The number of each Reptile House's Panda equals each Panda's Ulna. The number of each Toad Abode's Cheetah equals 2 more than each Panda's Ulna. The number of each Lake Nakuru National Park's Reptile House equals 10. How many Cheetah does Anaconda Exhibit have?
Solution: | 4 | Define Anaconda Exhibit's Cheetah as B; so B = 19. | 19 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Fire Salamander's Radius equals each Jellyfish Gallery's Fire Salamander. The number of each Seal Pool's Newt equals 17. The number of each Tiger Salamander's Metacarpals equals each Jellyfish Gallery's Fire Salamander. The number of each Jellyfish Gallery's Fire Salamander equals 11. The number of each Piranha Pond's Tiger Salamander equals each Jellyfish Gallery's Fire Salamander. The number of each Piranha Pond's Fire Salamander equals 5 more than the sum of each Jellyfish Gallery's Fire Salamander, each Tiger Salamander's Metacarpals and each Fire Salamander's Radius. The number of each Spotted Salamander's Distal Phalanges equals 11 times as much as each Jellyfish Gallery's Fire Salamander. The number of each Fire Salamander's Metacarpals equals the sum of each Fire Salamander's Radius and each Tiger Salamander's Metacarpals. The number of each Spotted Salamander's Ulna equals the sum of each Jellyfish Gallery's Fire Salamander, each Piranha Pond's Fire Salamander and each Spotted Salamander's Distal Phalanges. The number of each Tropical Fish Tanks's Spotted Salamander equals 17. How many Spotted Salamander does Tropical Fish Tanks have?
Solution: Define Tropical Fish Tanks's Spotted Salamander as b; so b = 17.
Answer: 17
Problem 2: The number of each Lumbar Pack's Stapler equals the difference of each Concealed Carry Backpack's Ink Refill and each Lumbar Pack's Ink Refill. The number of each Concealed Carry Backpack's Laminating Sheets equals 3 more than each Tactical Backpack's Ink Refill. The number of each Lumbar Pack's Rubber Band equals the sum of each Tactical Backpack's Laminating Sheets, each Lumbar Pack's Ink Refill, each Tactical Backpack's Ink Refill and each Concealed Carry Backpack's Ink Refill. The number of each Lumbar Pack's Laminating Sheets equals 1 more than the difference of each Lumbar Pack's Stapler and each Lumbar Pack's Ink Refill. The number of each Concealed Carry Backpack's Ink Refill equals 15. The number of each Lumbar Pack's Ink Refill equals 22. The number of each Concealed Carry Backpack's Stapler equals the sum of each Concealed Carry Backpack's Laminating Sheets and each Concealed Carry Backpack's Ink Refill. The number of each Tactical Backpack's Laminating Sheets equals 22. The number of each Tactical Backpack's Stapler equals 1 more than the sum of each Tactical Backpack's Laminating Sheets, each Concealed Carry Backpack's Ink Refill and each Lumbar Pack's Ink Refill. The number of each Fashion Backpack's Rubber Band equals 8 more than the sum of each Lumbar Pack's Laminating Sheets and each Lumbar Pack's Ink Refill. The number of each Tactical Backpack's Ink Refill equals the difference of each Lumbar Pack's Ink Refill and each Concealed Carry Backpack's Ink Refill. How many Laminating Sheets does Tactical Backpack have?
Solution: Define Tactical Backpack's Laminating Sheets as R; so R = 22.
Answer: 22
Problem 3: The number of each Safeway's Butter equals 10. The number of each Sam's Club's Butter equals each Sam's Club's Mozzarella Cheese. The number of each BJ's Wholesale Club's Mozzarella Cheese equals 9. The number of each Sam's Club's Mozzarella Cheese equals 10. The number of each BJ's Wholesale Club's Whipped Cream equals 21. The number of each Safeway's Mozzarella Cheese equals each Sam's Club's Mozzarella Cheese. The number of each BJ's Wholesale Club's Butter equals the sum of each Sam's Club's Mozzarella Cheese, each BJ's Wholesale Club's Whipped Cream and each BJ's Wholesale Club's Mozzarella Cheese. How many Mozzarella Cheese does Sam's Club have?
Solution: Define Sam's Club's Mozzarella Cheese as F; so F = 10.
Answer: 10
Problem 4: The number of each Tardigrade's Endothelium equals each Endothelium's Hemocytoblasts. The number of each Endothelium's Hemocytoblasts equals 12. The number of each Endothelium's Red Blood Cells equals each Endothelium's Hemocytoblasts. The number of each Cardiac Muscle's Myeloblasts equals 20. The number of each Tardigrade's Cardiac Muscle equals 21 times as much as each Endothelium's Hemocytoblasts. How many Cells does Staphylococcus have?
Solution: | 5 | Define Staphylococcus's Cells as j; so j = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Stingray's Capillaries equals 5 more than each Capillaries's Hippocampal Neurons. The number of each Pulmonary Valve's Hippocampal Neurons equals 11. The number of each Pulmonary Valve's Interneurons equals 21. The number of each Seahorse's Pulmonary Valve equals 12. The number of each Capillaries's Hippocampal Neurons equals 1 times as much as each Pulmonary Valve's Hippocampal Neurons. The number of each Seahorse's Capillaries equals each Pulmonary Valve's Hippocampal Neurons. How many Pulmonary Valve does Seahorse have?
Solution: Define Seahorse's Pulmonary Valve as Y; so Y = 12.
Answer: 12
Problem 2: The number of each Sour Cream's Sweet Corn equals each Milk's Beetroot. The number of each Milk's Beetroot equals 1. The number of each Cream's Sweet Corn equals each Sour Cream's Ingredient. The number of each Cream's Beetroot equals the sum of each Milk's Sweet Corn and each Milk's Beetroot. The number of each Cream's Garlic equals the sum of each Cream's Sweet Corn and each Sour Cream's Garlic. The number of each Milk's Sweet Corn equals 2. The number of each Sour Cream's Garlic equals 18. The number of each Sour Cream's Beetroot equals each Sour Cream's Sweet Corn. The number of each Milk's Garlic equals 19. How many Garlic does Sour Cream have?
Solution: Define Sour Cream's Garlic as c; so c = 18.
Answer: 18
Problem 3: The number of each Lowland Grassland's Spirogyra equals 6. The number of each Lowland Grassland's Nematode equals each Diatom's Parietal Lobe. The number of each Lowland Grassland's Diatom equals 3. The number of each Spirogyra's Parietal Lobe equals 7 times as much as each Nematode's Medulla Oblongata. The number of each Steppe's Diatom equals 21 times as much as each Spirogyra's Parietal Lobe. The number of each Spirogyra's Thalamus equals each Prairie's Diatom. The number of each Prairie's Spirogyra equals each Spirogyra's Parietal Lobe. The number of each Nematode's Medulla Oblongata equals 15. The number of each Steppe's Nematode equals 3. The number of each Diatom's Parietal Lobe equals the difference of each Lowland Grassland's Diatom and each Nematode's Parietal Lobe. The number of each Diatom's Thalamus equals 15. The number of each Prairie's Nematode equals 6 times as much as the sum of each Spirogyra's Medulla Oblongata, each Lowland Grassland's Organs and each Nematode's Parietal Lobe. The number of each Spirogyra's Medulla Oblongata equals each Lowland Grassland's Spirogyra. The number of each Nematode's Thalamus equals 12. The number of each Prairie's Diatom equals the difference of each Lowland Grassland's Diatom and each Nematode's Thalamus. The number of each Nematode's Parietal Lobe equals each Lowland Grassland's Diatom. The number of each Steppe's Spirogyra equals 6. The number of each Diatom's Medulla Oblongata equals each Spirogyra's Parietal Lobe. How many Diatom does Lowland Grassland have?
Solution: Define Lowland Grassland's Diatom as x; so x = 3.
Answer: 3
Problem 4: The number of each Frontal Lobe's Intercalated Discs equals the difference of each Daphnia's Thalamus and each Nematode's Thalamus. The number of each Frontal Lobe's Satellite Cells equals 12. The number of each Nematode's Frontal Lobe equals the difference of each Daphnia's Frontal Lobe and each Nematode's Thalamus. The number of each Nematode's Thalamus equals 0. The number of each Thalamus's Intercalated Discs equals each Daphnia's Thalamus. The number of each Daphnia's Frontal Lobe equals each Daphnia's Thalamus. The number of each Daphnia's Thalamus equals 3. How many Thalamus does Nematode have?
Solution: | 6 | Define Nematode's Thalamus as e; so e = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Yoga Mat Backpack's Loose Leaf Paper equals 5. The number of each Yoga Mat Backpack's Wrapping Paper equals 21. The number of each Pine Valley College's Film Studio equals 5. The number of each Biking Backpack's Diary equals 17 more than each Language Classroom's Biking Backpack. The number of each Pine Valley College's Visual Arts Studio equals 5 times as much as the sum of each Language Classroom's Biking Backpack and each Pine Valley College's Film Studio. The number of each Riverside College's Language Classroom equals each Language Classroom's Stationery. The number of each Visual Arts Studio's Yoga Mat Backpack equals each Biking Backpack's Diary. The number of each Language Classroom's Biking Backpack equals 18. How many Wrapping Paper does Yoga Mat Backpack have?
Solution: Define Yoga Mat Backpack's Wrapping Paper as B; so B = 21.
Answer: 21
Problem 2: The number of each Climbing Backpack's Glitter equals 14. The number of each Climbing Backpack's Stamp equals 20 more than the sum of each Climbing Backpack's Glitter and each Snowboard Backpack's Stationery. The number of each Climbing Backpack's Masking Tape equals the sum of each Climbing Backpack's Stamp and each Snowboard Backpack's Stationery. How many Glitter does Climbing Backpack have?
Solution: Define Climbing Backpack's Glitter as I; so I = 14.
Answer: 14
Problem 3: The number of each Sardine's Caudal Vertebrae 6 equals 1. The number of each Salmon's Caudal Vertebrae 6 equals 8 times as much as the sum of each Sardine's Caudal Vertebrae 6 and each Salmon's Caudal Vertebrae 4. The number of each Salmon's Caudal Vertebrae 4 equals 4 times as much as each Sardine's Caudal Vertebrae 6. The number of each Sardine's Caudal Vertebrae 4 equals 10. How many Caudal Vertebrae 6 does Sardine have?
Solution: Define Sardine's Caudal Vertebrae 6 as v; so v = 1.
Answer: 1
Problem 4: The number of each Wheeled Backpack's Rubber Band equals 19. The number of each Travel Daypack's Rubber Band equals 1 times as much as the sum of each Wheeled Backpack's Stamp Pad and each Travel Daypack's Stamp Pad. The number of each Wheeled Backpack's Stamp Pad equals 19. The number of each Travel Daypack's Stamp Pad equals each Wheeled Backpack's Stamp Pad. How many Stamp Pad does Wheeled Backpack have?
Solution: | 7 | Define Wheeled Backpack's Stamp Pad as h; so h = 19. | 19 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each The High Line in New York City's Staphylococcus equals 13. The number of each Radiolarian's Tricuspid Valve equals 21. The number of each Trichomonas's Tricuspid Valve equals each Radiolarian's Organs. The number of each The High Line in New York City's Trichomonas equals 11. The number of each Gardens by the Bay in Singapore's Radiolarian equals 22. The number of each The High Line in New York City's Radiolarian equals 0. The number of each Tricuspid Valve's Osteoblasts equals 2 times as much as the difference of each Staphylococcus's Mitral Valve and each Trichomonas's Organs. The number of each Mitral Valve's Osteoblasts equals the sum of each The High Line in New York City's Staphylococcus and each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Gardens by the Bay in Singapore's Trichomonas equals 13 times as much as each The High Line in New York City's Trichomonas. The number of each Mitral Valve's Endothelial Cells of Blood Vessels equals 16 times as much as each The High Line in New York City's Staphylococcus. The number of each Staphylococcus's Tricuspid Valve equals each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Staphylococcus's Mitral Valve equals each Radiolarian's Tricuspid Valve. The number of each Trichomonas's Mitral Valve equals the sum of each Mitral Valve's Cells and each The High Line in New York City's Radiolarian. How many Radiolarian does The High Line in New York City have?
Solution: Define The High Line in New York City's Radiolarian as x; so x = 0.
Answer: 0
Problem 2: The number of each Sardine's Caudal Vertebrae 6 equals 1. The number of each Salmon's Caudal Vertebrae 6 equals 8 times as much as the sum of each Sardine's Caudal Vertebrae 6 and each Salmon's Caudal Vertebrae 4. The number of each Salmon's Caudal Vertebrae 4 equals 4 times as much as each Sardine's Caudal Vertebrae 6. The number of each Sardine's Caudal Vertebrae 4 equals 10. How many Caudal Vertebrae 6 does Sardine have?
Solution: Define Sardine's Caudal Vertebrae 6 as v; so v = 1.
Answer: 1
Problem 3: The number of each Peacock's Appendix equals each Appendix's Alveolar Epithelial Cells. The number of each Gallbladder's Alveolar Epithelial Cells equals the sum of each Appendix's Alveolar Epithelial Cells, each Crow's Appendix and each Montane Grassland's Crow. The number of each Appendix's Alveolar Epithelial Cells equals 10. The number of each Veldt's Peacock equals each Crow's Appendix. The number of each Crow's Appendix equals 19. The number of each Appendix's Intestinal Absorptive Cells equals 4. The number of each Montane Grassland's Crow equals 17. The number of each Veldt's Crow equals the difference of each Crow's Gallbladder and each Gallbladder's Cells. The number of each Peacock's Gallbladder equals each Montane Grassland's Peacock. The number of each Crow's Gallbladder equals each Appendix's Cells. The number of each Montane Grassland's Peacock equals 16. The number of each Gallbladder's Intestinal Absorptive Cells equals 2. How many Peacock does Montane Grassland have?
Solution: Define Montane Grassland's Peacock as Y; so Y = 16.
Answer: 16
Problem 4: The number of each Insulated Backpack's Document Wallet equals each Diaper Backpack's Stationery. The number of each Clear Backpack's Card Holder equals 12 times as much as each Clear Backpack's Binder. The number of each Clear Backpack's Binder equals 3. How many Stationery does Diaper Backpack have?
Solution: | 8 | Define Diaper Backpack's Stationery as M; so M = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Riparian Forest's Daphnia equals the sum of each E coli's Elbow Joint, each Montane Forest's Daphnia and each Radiolarian's Elbow Joint. The number of each Patella's Red Blood Cells equals 13. The number of each Secondary Forest's E coli equals 9 more than the sum of each Patella's Megakaryocytes, each E coli's Organs and each Daphnia's Elbow Joint. The number of each Radiolarian's Elbow Joint equals the sum of each Riparian Forest's Radiolarian and each Montane Forest's Daphnia. The number of each Daphnia's Patella equals 22. The number of each Elbow Joint's Monocytes equals each Riparian Forest's Radiolarian. The number of each Riparian Forest's E coli equals 8. The number of each E coli's Elbow Joint equals 14. The number of each Radiolarian's Knee Joint equals each Knee Joint's Red Blood Cells. The number of each Patella's Megakaryocytes equals 12 more than each Patella's Red Blood Cells. The number of each Elbow Joint's Megakaryocytes equals the sum of each Daphnia's Elbow Joint, each Patella's Megakaryocytes and each Riparian Forest's Radiolarian. The number of each Montane Forest's Daphnia equals 17. The number of each Daphnia's Elbow Joint equals 12 times as much as each E coli's Elbow Joint. The number of each Riparian Forest's Radiolarian equals the sum of each Daphnia's Elbow Joint and each E coli's Elbow Joint. The number of each Knee Joint's Megakaryocytes equals 11 times as much as each Radiolarian's Elbow Joint. The number of each Knee Joint's Red Blood Cells equals each Daphnia's Elbow Joint. How many Red Blood Cells does Patella have?
Solution: Define Patella's Red Blood Cells as H; so H = 13.
Answer: 13
Problem 2: The number of each Alligator Alley's Marlin equals 16. The number of each Anaconda Exhibit's Shark equals 20. The number of each Marlin's Metacarpal III equals each Anaconda Exhibit's Shark. The number of each Shark's Middle Phalanx equals 4. How many Middle Phalanx does Shark have?
Solution: Define Shark's Middle Phalanx as R; so R = 4.
Answer: 4
Problem 3: The number of each Venules's Neurons equals 18. The number of each Venules's Cerebral Cortex Neurons equals the sum of each Capillaries's Cerebral Cortex Neurons, each Venules's Neurons and each Capillaries's Cells. The number of each Capillaries's Cerebral Cortex Neurons equals 8. How many Neurons does Venules have?
Solution: Define Venules's Neurons as G; so G = 18.
Answer: 18
Problem 4: The number of each Astronomy Lab's Crafting Backpack equals 14. The number of each Neuroscience Lab's Crafting Backpack equals 12. The number of each Neuroscience Lab's Concealed Carry Backpack equals 1. The number of each Astronomy Lab's Concealed Carry Backpack equals 13 more than each Neuroscience Lab's Crafting Backpack. The number of each Concealed Carry Backpack's Construction Paper equals the sum of each Astronomy Lab's Concealed Carry Backpack and each Neuroscience Lab's Concealed Carry Backpack. The number of each Concealed Carry Backpack's Legal Pad equals the sum of each Neuroscience Lab's Crafting Backpack, each Neuroscience Lab's Concealed Carry Backpack and each Neuroscience Lab's Backpack. The number of each Crafting Backpack's Legal Pad equals 21 times as much as each Neuroscience Lab's Backpack. How many Crafting Backpack does Neuroscience Lab have?
Solution: | 9 | Define Neuroscience Lab's Crafting Backpack as V; so V = 12. | 12 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Coastal Ecosystem's Condor equals 21. The number of each Parrot's Spinal Nerves equals 17. The number of each Condor's Spinal Nerves equals each Parrot's Pons. The number of each Coastal Ecosystem's Parrot equals 7. The number of each Stream Ecosystem's Condor equals each Parrot's Spinal Nerves. The number of each Parrot's Pons equals 11 more than each Coastal Ecosystem's Parrot. How many Parrot does Coastal Ecosystem have?
Solution: Define Coastal Ecosystem's Parrot as s; so s = 7.
Answer: 7
Problem 2: The number of each Pharynx's Mesothelial Cells equals 9. The number of each Mouth's Renal Tubular Cells equals the difference of each Rectum's Cells and each Pharynx's Mesothelial Cells. The number of each Pharynx's Thyroid Follicular Cells equals 20. How many Cells does Rectum have?
Solution: Define Rectum's Cells as A; so A = 0.
Answer: 0
Problem 3: The number of each Fire Salamander's Radius equals each Jellyfish Gallery's Fire Salamander. The number of each Seal Pool's Newt equals 17. The number of each Tiger Salamander's Metacarpals equals each Jellyfish Gallery's Fire Salamander. The number of each Jellyfish Gallery's Fire Salamander equals 11. The number of each Piranha Pond's Tiger Salamander equals each Jellyfish Gallery's Fire Salamander. The number of each Piranha Pond's Fire Salamander equals 5 more than the sum of each Jellyfish Gallery's Fire Salamander, each Tiger Salamander's Metacarpals and each Fire Salamander's Radius. The number of each Spotted Salamander's Distal Phalanges equals 11 times as much as each Jellyfish Gallery's Fire Salamander. The number of each Fire Salamander's Metacarpals equals the sum of each Fire Salamander's Radius and each Tiger Salamander's Metacarpals. The number of each Spotted Salamander's Ulna equals the sum of each Jellyfish Gallery's Fire Salamander, each Piranha Pond's Fire Salamander and each Spotted Salamander's Distal Phalanges. The number of each Tropical Fish Tanks's Spotted Salamander equals 17. How many Spotted Salamander does Tropical Fish Tanks have?
Solution: Define Tropical Fish Tanks's Spotted Salamander as b; so b = 17.
Answer: 17
Problem 4: The number of each Tennis Court's Ventilated Backpack equals the sum of each Sweat-Resistant Backpack's Stationery, each Ventilated Backpack's Craft Knife, each Ventilated Backpack's Stationery and each Skyline College's Swimming Pool. The number of each Tennis Court's Golf Backpack equals 18. The number of each Swimming Pool's Golf Backpack equals 1. The number of each Sweat-Resistant Backpack's Canvas Board equals the sum of each Ventilated Backpack's Craft Knife, each Tennis Court's Sweat-Resistant Backpack, each Golf Backpack's Stationery and each Skyline College's Swimming Pool. The number of each Sweat-Resistant Backpack's Craft Knife equals the sum of each Ventilated Backpack's Stationery and each Tennis Court's Sweat-Resistant Backpack. The number of each Ventilated Backpack's Craft Knife equals 15. The number of each Skyline College's Swimming Pool equals 22. The number of each Woodgrove College's Swimming Pool equals 16 more than the sum of each Swimming Pool's Golf Backpack, each Golf Backpack's Canvas Board and each Skyline College's Tennis Court. The number of each Skyline College's Tennis Court equals 4. The number of each Swimming Pool's Sweat-Resistant Backpack equals 1. The number of each Golf Backpack's Canvas Board equals 10. The number of each Tennis Court's Sweat-Resistant Backpack equals each Ventilated Backpack's Stationery. The number of each Woodgrove College's Tennis Court equals each Swimming Pool's Golf Backpack. How many Swimming Pool does Skyline College have?
Solution: | 10 | Define Skyline College's Swimming Pool as Y; so Y = 22. | 22 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Biology Lab's Tech Backpack equals 11. The number of each Earth Science Lab's Hardshell Backpack equals 21 more than each Earth Science Lab's Tech Backpack. The number of each Biology Lab's Hardshell Backpack equals each Biology Lab's Tech Backpack. The number of each Neuroscience Lab's Modular Backpack equals each Biology Lab's Tech Backpack. The number of each Earth Science Lab's Tech Backpack equals 14. The number of each Neuroscience Lab's Hardshell Backpack equals 14 times as much as each Earth Science Lab's Modular Backpack. The number of each Earth Science Lab's Modular Backpack equals 2 more than each Earth Science Lab's Tech Backpack. The number of each Biology Lab's Modular Backpack equals each Neuroscience Lab's Tech Backpack. The number of each Neuroscience Lab's Tech Backpack equals 5. How many Tech Backpack does Biology Lab have?
Solution: Define Biology Lab's Tech Backpack as F; so F = 11.
Answer: 11
Problem 2: The number of each Environmental Science Lab's Canvas Backpack equals the sum of each Westwood High's Backpack and each Canvas Backpack's Stationery. The number of each Rosewood High's Environmental Science Lab equals each Environmental Science Lab's Backpack. The number of each Geology Lab's Printed Backpack equals each Printed Backpack's Card Holder. The number of each Geology Lab's Canvas Backpack equals 8. The number of each Printed Backpack's Card Holder equals 6 more than each Geology Lab's Canvas Backpack. The number of each Printed Backpack's Box File equals 4. The number of each Rosewood High's Geology Lab equals the difference of each Canvas Backpack's Stationery and each Westwood High's Backpack. How many Backpack does Westwood High have?
Solution: Define Westwood High's Backpack as b; so b = 0.
Answer: 0
Problem 3: The number of each Aerospace Engineering Lab's Laptop Professional Backpack equals 21. The number of each Thermodynamics Lab's Modular Backpack equals 17. The number of each Aerospace Engineering Lab's Work Rucksack equals 7. How many Laptop Professional Backpack does Aerospace Engineering Lab have?
Solution: Define Aerospace Engineering Lab's Laptop Professional Backpack as J; so J = 21.
Answer: 21
Problem 4: The number of each Musical Instrument Backpack's Sticky Tape equals 14 more than each Pinnacle Peak University's Environmental Science Lab. The number of each Musical Instrument Backpack's Rubber Band equals 14. The number of each Hunting Backpack's Glue Stick equals 4. The number of each Neuroscience Lab's Hunting Backpack equals 15. The number of each Skyview University's Anatomy Lab equals each Westbrook University's Classroom. The number of each Hunting Backpack's Rubber Band equals each Pinnacle Peak University's Environmental Science Lab. The number of each Pinnacle Peak University's Environmental Science Lab equals 5. The number of each Pinnacle Peak University's Neuroscience Lab equals the difference of each Skyview University's Stationery and each Anatomy Lab's Stationery. The number of each Environmental Science Lab's Musical Instrument Backpack equals each Pinnacle Peak University's Environmental Science Lab. The number of each Neuroscience Lab's Lumbar Pack equals the sum of each Skyview University's Backpack, each Pinnacle Peak University's Environmental Science Lab, each Lumbar Pack's Stationery and each Westbrook University's Backpack. How many Hunting Backpack does Neuroscience Lab have?
Solution: | 11 | Define Neuroscience Lab's Hunting Backpack as G; so G = 15. | 15 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Greenwood High's Marketing Classroom equals 4. The number of each Harborview High's Communication Studies Room equals 22 times as much as each Greenwood High's Marketing Classroom. The number of each Harborview High's Journalism Lab equals each Pinnacle High's Marketing Classroom. The number of each Pinnacle High's Marketing Classroom equals each Greenwood High's Marketing Classroom. The number of each Greenwood High's Communication Studies Room equals 9. The number of each Harborview High's Marketing Classroom equals the sum of each Greenwood High's Marketing Classroom and each Harborview High's Communication Studies Room. The number of each Pinnacle High's Journalism Lab equals each Pinnacle High's Marketing Classroom. How many Marketing Classroom does Greenwood High have?
Solution: Define Greenwood High's Marketing Classroom as k; so k = 4.
Answer: 4
Problem 2: The number of each Butter's Cloves equals 21. The number of each New Grand Mart's Butter equals 15. The number of each Galleria Supermarket's Goat Cheese equals each Market District's Asia Supermarket. The number of each New Grand Mart's Swiss Cheese equals 9 more than the difference of each New Grand Mart's Butter and each Butter's Turmeric. The number of each Asia Supermarket's Butter equals each Butter's Ingredient. The number of each Market District's Asia Supermarket equals each Butter's Turmeric. The number of each Goat Cheese's Turmeric equals the sum of each Asia Supermarket's Goat Cheese and each Swiss Cheese's Cardamom. The number of each Shopping District's Galleria Supermarket equals each Asia Supermarket's Goat Cheese. The number of each Swiss Cheese's Cardamom equals 4. The number of each Asia Supermarket's Goat Cheese equals the sum of each Market District's Asia Supermarket, each New Grand Mart's Swiss Cheese and each Butter's Turmeric. The number of each Shopping District's New Grand Mart equals each New Grand Mart's Butter. The number of each Asia Supermarket's Swiss Cheese equals 4. The number of each Butter's Turmeric equals 0. How many Cloves does Butter have?
Solution: Define Butter's Cloves as z; so z = 21.
Answer: 21
Problem 3: The number of each Biceps's Chondrocytes equals the sum of each Wrist Joint's Cells and each Wrist Joint's Adipocytes. The number of each Biceps's Adipocytes equals the difference of each Wrist Joint's Cells and each Biceps's Tenocytes. The number of each Wrist Joint's Adipocytes equals 10. The number of each Biceps's Tenocytes equals the sum of each Wrist Joint's Adipocytes and each Biceps's Chondrocytes. How many Adipocytes does Wrist Joint have?
Solution: Define Wrist Joint's Adipocytes as p; so p = 10.
Answer: 10
Problem 4: The number of each Turkestan Desert's Mermaid equals 3 more than each Mermaid's Shoulder Joint. The number of each Mermaid's Shoulder Joint equals 15. The number of each Dasht-e Kavir's Mermaid equals each Yeti's Humerus. The number of each Mermaid's Humerus equals each Turkestan Desert's Mermaid. The number of each Turkestan Desert's Yeti equals the sum of each Yeti's Humerus, each Dasht-e Kavir's Mermaid and each Mermaid's Humerus. The number of each Dasht-e Kavir's Yeti equals the sum of each Mermaid's Organs, each Mermaid's Humerus, each Turkestan Desert's Mermaid and each Mermaid's Shoulder Joint. The number of each Yeti's Humerus equals 20. How many Shoulder Joint does Mermaid have?
Solution: | 12 | Define Mermaid's Shoulder Joint as o; so o = 15. | 15 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Anatomy Lab's Padded Backpack equals 8 more than each Physical Chemistry Lab's Padded Backpack. The number of each Anatomy Lab's Anti-Theft Backpack equals 4 times as much as each Padded Backpack's Document Box. The number of each Northridge High's Anatomy Lab equals the sum of each Padded Backpack's Ring Binder, each Northridge High's Physical Chemistry Lab, each Anatomy Lab's Anti-Theft Backpack and each Crestwood Secondary's Physical Chemistry Lab. The number of each Crestwood Secondary's Anatomy Lab equals 19. The number of each Padded Backpack's Document Box equals 5. The number of each Padded Backpack's Ring Binder equals the difference of each Crestwood Secondary's Physical Chemistry Lab and each Padded Backpack's Document Box. The number of each Anti-Theft Backpack's Ring Binder equals the sum of each Physical Chemistry Lab's Padded Backpack and each Crestwood Secondary's Physical Chemistry Lab. The number of each Northridge High's Physical Chemistry Lab equals each Anatomy Lab's Anti-Theft Backpack. The number of each Crestwood Secondary's Physical Chemistry Lab equals 17 times as much as each Padded Backpack's Document Box. The number of each Physical Chemistry Lab's Padded Backpack equals 18. The number of each Physical Chemistry Lab's Anti-Theft Backpack equals 22 times as much as each Anatomy Lab's Padded Backpack. How many Document Box does Padded Backpack have?
Solution: Define Padded Backpack's Document Box as n; so n = 5.
Answer: 5
Problem 2: The number of each Butterfly's Deltoid equals each Condor's Organs. The number of each Condor's Biceps equals 19. The number of each Condor's Wrist Joint equals 14 more than each Vulture's Biceps. The number of each Parrot's Wrist Joint equals the sum of each Condor's Wrist Joint, each Parrot's Biceps, each Condor's Triceps and each Vulture's Wrist Joint. The number of each Condor's Triceps equals each Parrot's Biceps. The number of each Condor's Deltoid equals 18. The number of each Parrot's Biceps equals each Condor's Wrist Joint. The number of each Vulture's Biceps equals 16. The number of each Parrot's Triceps equals 7 times as much as the sum of each Vulture's Triceps and each Vulture's Deltoid. The number of each Butterfly's Triceps equals 18. The number of each Butterfly's Biceps equals 8. The number of each Vulture's Wrist Joint equals 7 more than the sum of each Parrot's Biceps, each Vulture's Biceps and each Condor's Wrist Joint. The number of each Vulture's Triceps equals each Condor's Biceps. The number of each Vulture's Deltoid equals 22. The number of each Butterfly's Wrist Joint equals each Condor's Deltoid. The number of each Parrot's Deltoid equals 3 more than the sum of each Condor's Organs, each Vulture's Organs and each Parrot's Biceps. How many Deltoid does Vulture have?
Solution: Define Vulture's Deltoid as S; so S = 22.
Answer: 22
Problem 3: The number of each Top-Loading Backpack's Ring Binder equals the sum of each Compression Backpack's Planner and each Mountaineering Backpack's Stationery. The number of each Sociology Classroom's Mountaineering Backpack equals each Graphic Design Studio's Compression Backpack. The number of each Compression Backpack's Ring Binder equals 1. The number of each Compression Backpack's Planner equals each Mountaineering Backpack's Stationery. The number of each Mountaineering Backpack's Desk Pad equals 14. The number of each Graphic Design Studio's Top-Loading Backpack equals 16. The number of each Sociology Classroom's Compression Backpack equals 20 more than the sum of each Graphic Design Studio's Mountaineering Backpack, each Compression Backpack's Desk Pad and each Sociology Classroom's Mountaineering Backpack. The number of each Graphic Design Studio's Compression Backpack equals each Compression Backpack's Ring Binder. The number of each Top-Loading Backpack's Planner equals 18. The number of each Top-Loading Backpack's Desk Pad equals each Mountaineering Backpack's Desk Pad. The number of each Graphic Design Studio's Mountaineering Backpack equals 1 more than each Mountaineering Backpack's Desk Pad. The number of each Compression Backpack's Desk Pad equals the sum of each Graphic Design Studio's Compression Backpack and each Top-Loading Backpack's Planner. How many Ring Binder does Compression Backpack have?
Solution: Define Compression Backpack's Ring Binder as t; so t = 1.
Answer: 1
Problem 4: The number of each Canned Fruits's Popcorn equals 12 times as much as the sum of each Canned Tomatoes's Buckwheat and each Canned Tomatoes's Ingredient. The number of each Canned Tomatoes's Buckwheat equals 6. How many Buckwheat does Canned Tomatoes have?
Solution: | 13 | Define Canned Tomatoes's Buckwheat as u; so u = 6. | 6 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Spider Web Exhibit's Cave Salamander equals 20. The number of each Ladybug Loft's Cave Salamander equals 20 times as much as each Ant Farm's Animal. The number of each Spider Web Exhibit's Frog equals 13 times as much as the sum of each Spider Web Exhibit's Cave Salamander and each Spider Web Exhibit's Spotted Salamander. The number of each Ladybug Loft's Spotted Salamander equals the sum of each Ladybug Loft's Frog, each Ant Farm's Animal and each Ladybug Loft's Cave Salamander. The number of each Ladybug Loft's Frog equals 4. The number of each Spider Web Exhibit's Spotted Salamander equals 9. How many Animal does Ant Farm have?
Solution: Define Ant Farm's Animal as K; so K = 0.
Answer: 0
Problem 2: The number of each Volleyball Court's Anti-Theft Backpack equals 9. The number of each Anti-Theft Backpack's Calligraphy Pen equals 11 more than the sum of each Squash Court's Sling Backpack and each Riverside College's Volleyball Court. The number of each Sling Backpack's Calligraphy Pen equals each Riverside College's Volleyball Court. The number of each Sling Backpack's Watercolor Pencil equals 14 times as much as the sum of each Anti-Theft Backpack's Highlighter, each Riverside College's Squash Court and each Volleyball Court's Anti-Theft Backpack. The number of each Riverside College's Volleyball Court equals 14 times as much as each Volleyball Court's Anti-Theft Backpack. The number of each Riverside College's Squash Court equals 16. The number of each Sling Backpack's Highlighter equals 2 times as much as the sum of each Volleyball Court's Anti-Theft Backpack and each Riverside College's Volleyball Court. The number of each Anti-Theft Backpack's Highlighter equals 22 times as much as each Riverside College's Squash Court. The number of each Squash Court's Sling Backpack equals the sum of each Riverside College's Volleyball Court, each Sling Backpack's Calligraphy Pen, each Volleyball Court's Anti-Theft Backpack and each Sling Backpack's Highlighter. The number of each Squash Court's Anti-Theft Backpack equals 5 more than the sum of each Volleyball Court's Anti-Theft Backpack, each Meadowland College's Squash Court and each Volleyball Court's Backpack. The number of each Meadowland College's Squash Court equals each Riverside College's Squash Court. How many Squash Court does Riverside College have?
Solution: Define Riverside College's Squash Court as N; so N = 16.
Answer: 16
Problem 3: The number of each Wolf Woods's Sparrow equals each Moremi Game Reserve's Small Mammal House. The number of each Anteater Area's Sparrow equals each Moremi Game Reserve's Wolf Woods. The number of each Wolf Woods's Seagull equals 11. The number of each Moremi Game Reserve's Small Mammal House equals the sum of each Wolf Woods's Seagull and each Addo Elephant National Park's Small Mammal House. The number of each Small Mammal House's Sparrow equals each Anteater Area's Parrot. The number of each Small Mammal House's Seagull equals 2 times as much as each Moremi Game Reserve's Small Mammal House. The number of each Anteater Area's Seagull equals 22 more than each Wolf Woods's Seagull. The number of each Addo Elephant National Park's Small Mammal House equals each Wolf Woods's Seagull. The number of each Anteater Area's Parrot equals 16. The number of each Wolf Woods's Parrot equals each Moremi Game Reserve's Small Mammal House. The number of each Addo Elephant National Park's Wolf Woods equals 8. The number of each Moremi Game Reserve's Anteater Area equals the sum of each Moremi Game Reserve's Wolf Woods, each Addo Elephant National Park's Small Mammal House and each Anteater Area's Seagull. The number of each Wolf Woods's Falcon equals the difference of each Wolf Woods's Seagull and each Small Mammal House's Seagull. The number of each Anteater Area's Falcon equals each Wolf Woods's Seagull. The number of each Moremi Game Reserve's Wolf Woods equals 0 more than each Moremi Game Reserve's Small Mammal House. The number of each Small Mammal House's Falcon equals 10. How many Parrot does Anteater Area have?
Solution: Define Anteater Area's Parrot as O; so O = 16.
Answer: 16
Problem 4: The number of each Work Rucksack's Clay equals each Modular Backpack's Craft Knife. The number of each Modular Backpack's Craft Knife equals 3. The number of each Modular Backpack's Clay equals 2 more than the sum of each Modular Backpack's Stamp and each Modular Backpack's Craft Knife. The number of each Camera Backpack's Stamp equals each Camera Backpack's Clay. The number of each Camera Backpack's Clay equals the sum of each Modular Backpack's Craft Knife and each Work Rucksack's Clay. The number of each Modular Backpack's Stamp equals 13. How many Stamp does Modular Backpack have?
Solution: | 14 | Define Modular Backpack's Stamp as n; so n = 13. | 13 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Meadow's Phoenix equals 8 times as much as the sum of each Phoenix's Aortic Valve, each Phoenix's Cardiac Muscle and each Savanna's Gorgon. The number of each Gorgon's Cardiac Muscle equals 3. The number of each Savanna's Gorgon equals 8. The number of each Phoenix's Cardiac Muscle equals each Phoenix's Aortic Valve. The number of each Savanna's Phoenix equals 19 times as much as each Phoenix's Organs. The number of each Highland Grassland's Gorgon equals each Phoenix's Organs. The number of each Phoenix's Aortic Valve equals 18. The number of each Highland Grassland's Phoenix equals 4. The number of each Meadow's Gorgon equals 11 times as much as each Highland Grassland's Gorgon. How many Cardiac Muscle does Gorgon have?
Solution: Define Gorgon's Cardiac Muscle as N; so N = 3.
Answer: 3
Problem 2: The number of each Penguin Exhibit's Woodpecker equals 12. The number of each Canary's Radius equals 8. The number of each Canary's Secondary Feathers equals 14 times as much as each Toucan Terrace's Woodpecker. The number of each Woodpecker's Radius equals each Canary's Secondary Feathers. The number of each Toucan Terrace's Canary equals 1 more than the sum of each Toucan Terrace's Woodpecker, each Canary's Secondary Feathers and each Woodpecker's Radius. The number of each Penguin Exhibit's Canary equals 2 times as much as each Canary's Secondary Feathers. The number of each Woodpecker's Secondary Feathers equals the sum of each Canary's Secondary Feathers, each Toucan Terrace's Woodpecker and each Penguin Exhibit's Woodpecker. The number of each Toucan Terrace's Woodpecker equals 8. How many Woodpecker does Penguin Exhibit have?
Solution: Define Penguin Exhibit's Woodpecker as c; so c = 12.
Answer: 12
Problem 3: The number of each Canned Soups's Rye equals 10. The number of each Food 4 Less's Canned Vegetables equals 7. The number of each Rural Homes's Lidl equals 22. The number of each Canned Vegetables's Wheat equals each Rural Homes's Supermarket. The number of each Rural Homes's Food 4 Less equals 11 times as much as the sum of each Lidl's Ingredient and each Duplexes's Supermarket. The number of each Food 4 Less's Canned Soups equals each Canned Soups's Rye. How many Lidl does Rural Homes have?
Solution: Define Rural Homes's Lidl as v; so v = 22.
Answer: 22
Problem 4: The number of each Vondelpark in Amsterdam's Seahorse equals each Vondelpark in Amsterdam's Starfish. The number of each Vondelpark in Amsterdam's Crab equals 19 times as much as the sum of each Millennium Park in Chicago's Crab and each Ueno Park in Tokyo's Seahorse. The number of each Millennium Park in Chicago's Starfish equals 21. The number of each Ueno Park in Tokyo's Sea Turtle equals each Millennium Park in Chicago's Starfish. The number of each Millennium Park in Chicago's Crab equals each Millennium Park in Chicago's Seahorse. The number of each Central Park in New York City's Seahorse equals 2 more than the sum of each Millennium Park in Chicago's Starfish and each Vondelpark in Amsterdam's Starfish. The number of each Central Park in New York City's Sea Turtle equals the sum of each Central Park in New York City's Seahorse and each Vondelpark in Amsterdam's Creatures. The number of each Vondelpark in Amsterdam's Sea Turtle equals each Vondelpark in Amsterdam's Starfish. The number of each Ueno Park in Tokyo's Seahorse equals the sum of each Vondelpark in Amsterdam's Starfish and each Ueno Park in Tokyo's Sea Turtle. The number of each Ueno Park in Tokyo's Starfish equals 13. The number of each Central Park in New York City's Starfish equals 12. The number of each Ueno Park in Tokyo's Crab equals 18 times as much as the difference of each Central Park in New York City's Seahorse and each Vondelpark in Amsterdam's Starfish. The number of each Central Park in New York City's Crab equals the sum of each Vondelpark in Amsterdam's Starfish, each Millennium Park in Chicago's Starfish, each Central Park in New York City's Seahorse and each Millennium Park in Chicago's Seahorse. The number of each Vondelpark in Amsterdam's Starfish equals each Millennium Park in Chicago's Starfish. The number of each Millennium Park in Chicago's Sea Turtle equals 10. The number of each Millennium Park in Chicago's Seahorse equals 17. How many Seahorse does Millennium Park in Chicago have?
Solution: | 15 | Define Millennium Park in Chicago's Seahorse as r; so r = 17. | 17 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Sling Backpack's Notepad equals 3 more than each Scholar Backpack's Notepad. The number of each Anti-Theft Backpack's Notepad equals 19. The number of each Scholar Backpack's Index Cards equals the sum of each Sling Backpack's Index Cards and each Anti-Theft Backpack's Index Cards. The number of each Anti-Theft Backpack's Index Cards equals 22 times as much as each Sling Backpack's Index Cards. The number of each Scholar Backpack's Notepad equals 0. The number of each Sling Backpack's Index Cards equals 19. The number of each Scholar Backpack's Flip Chart equals 22 more than each Anti-Theft Backpack's Notepad. The number of each Anti-Theft Backpack's Flip Chart equals each Sling Backpack's Index Cards. The number of each Sling Backpack's Flip Chart equals each Sling Backpack's Index Cards. How many Notepad does Anti-Theft Backpack have?
Solution: Define Anti-Theft Backpack's Notepad as o; so o = 19.
Answer: 19
Problem 2: The number of each Fire Salamander's Radius equals each Jellyfish Gallery's Fire Salamander. The number of each Seal Pool's Newt equals 17. The number of each Tiger Salamander's Metacarpals equals each Jellyfish Gallery's Fire Salamander. The number of each Jellyfish Gallery's Fire Salamander equals 11. The number of each Piranha Pond's Tiger Salamander equals each Jellyfish Gallery's Fire Salamander. The number of each Piranha Pond's Fire Salamander equals 5 more than the sum of each Jellyfish Gallery's Fire Salamander, each Tiger Salamander's Metacarpals and each Fire Salamander's Radius. The number of each Spotted Salamander's Distal Phalanges equals 11 times as much as each Jellyfish Gallery's Fire Salamander. The number of each Fire Salamander's Metacarpals equals the sum of each Fire Salamander's Radius and each Tiger Salamander's Metacarpals. The number of each Spotted Salamander's Ulna equals the sum of each Jellyfish Gallery's Fire Salamander, each Piranha Pond's Fire Salamander and each Spotted Salamander's Distal Phalanges. The number of each Tropical Fish Tanks's Spotted Salamander equals 17. How many Spotted Salamander does Tropical Fish Tanks have?
Solution: Define Tropical Fish Tanks's Spotted Salamander as b; so b = 17.
Answer: 17
Problem 3: The number of each Addo Elephant National Park's Tortoise Garden equals 20 more than each Pilanesberg National Park's Anaconda Exhibit. The number of each Pilanesberg National Park's Anaconda Exhibit equals 14. The number of each Pilanesberg National Park's Tortoise Garden equals each Addo Elephant National Park's Gecko Greenhouse. The number of each Addo Elephant National Park's Anaconda Exhibit equals the sum of each Pilanesberg National Park's Enclosure, each Addo Elephant National Park's Gecko Greenhouse, each Pilanesberg National Park's Anaconda Exhibit and each Pilanesberg National Park's Tortoise Garden. The number of each Addo Elephant National Park's Gecko Greenhouse equals 12. How many Gecko Greenhouse does Addo Elephant National Park have?
Solution: Define Addo Elephant National Park's Gecko Greenhouse as V; so V = 12.
Answer: 12
Problem 4: The number of each Silicon Valley's Sam's Club equals 11 more than the sum of each Wall Street's Sam's Club, each Restaurant District's Publix and each Industrial District's Sam's Club. The number of each Industrial District's Publix equals 5 more than each Wall Street's Sam's Club. The number of each Industrial District's Kroger equals 10 more than each Silicon Valley's Publix. The number of each Restaurant District's Publix equals 0 more than each Wall Street's Sam's Club. The number of each Industrial District's Sam's Club equals 13. The number of each Wall Street's Kroger equals the sum of each Industrial District's Kroger and each Silicon Valley's Publix. The number of each Wall Street's Sam's Club equals 14. The number of each Restaurant District's Sainsbury's equals 19 more than the difference of each Industrial District's Kroger and each Silicon Valley's Publix. The number of each Restaurant District's Sam's Club equals 21 times as much as each Industrial District's Sam's Club. The number of each Silicon Valley's Kroger equals the sum of each Restaurant District's Sainsbury's, each Industrial District's Kroger and each Silicon Valley's Publix. The number of each Silicon Valley's Publix equals 10. The number of each Wall Street's Sainsbury's equals each Wall Street's Kroger. The number of each Restaurant District's Kroger equals each Restaurant District's Publix. How many Sam's Club does Wall Street have?
Solution: | 16 | Define Wall Street's Sam's Club as P; so P = 14. | 14 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Cheetah Run's Anaconda equals each Camel Yard's Animal. The number of each Cheetah Run's Python equals each Python's Radius. The number of each Anaconda's Secondary Feathers equals each Python's Bone. The number of each Montreal Insectarium's Camel Yard equals the sum of each Camel Yard's Bone and each Camel Yard's Animal. The number of each Python's Radius equals 10. The number of each Insectarium of Seattle's Cheetah Run equals 17. How many Cheetah Run does Insectarium of Seattle have?
Solution: Define Insectarium of Seattle's Cheetah Run as d; so d = 17.
Answer: 17
Problem 2: The number of each Arabian Desert's Blue Whale equals each Great White Shark's Organs. The number of each Arabian Desert's Great White Shark equals 5 more than each Great White Shark's Spinal Cord. The number of each Blue Whale's Spinal Cord equals 13 times as much as the sum of each Negev Desert's Creatures and each Arabian Desert's Blue Whale. The number of each Negev Desert's Blue Whale equals 13. The number of each Great White Shark's Occipital Lobe equals 10. The number of each Great White Shark's Spinal Cord equals 15. The number of each Negev Desert's Great White Shark equals 4. The number of each Blue Whale's Occipital Lobe equals 19 times as much as each Great White Shark's Spinal Cord. How many Spinal Cord does Great White Shark have?
Solution: Define Great White Shark's Spinal Cord as A; so A = 15.
Answer: 15
Problem 3: The number of each Fire Salamander's Radius equals each Jellyfish Gallery's Fire Salamander. The number of each Seal Pool's Newt equals 17. The number of each Tiger Salamander's Metacarpals equals each Jellyfish Gallery's Fire Salamander. The number of each Jellyfish Gallery's Fire Salamander equals 11. The number of each Piranha Pond's Tiger Salamander equals each Jellyfish Gallery's Fire Salamander. The number of each Piranha Pond's Fire Salamander equals 5 more than the sum of each Jellyfish Gallery's Fire Salamander, each Tiger Salamander's Metacarpals and each Fire Salamander's Radius. The number of each Spotted Salamander's Distal Phalanges equals 11 times as much as each Jellyfish Gallery's Fire Salamander. The number of each Fire Salamander's Metacarpals equals the sum of each Fire Salamander's Radius and each Tiger Salamander's Metacarpals. The number of each Spotted Salamander's Ulna equals the sum of each Jellyfish Gallery's Fire Salamander, each Piranha Pond's Fire Salamander and each Spotted Salamander's Distal Phalanges. The number of each Tropical Fish Tanks's Spotted Salamander equals 17. How many Spotted Salamander does Tropical Fish Tanks have?
Solution: Define Tropical Fish Tanks's Spotted Salamander as b; so b = 17.
Answer: 17
Problem 4: The number of each Anthropology Classroom's Waterproof School Backpack equals each Sling Backpack's Divider Tabs. The number of each Anthropology Classroom's Laptop Backpack equals 1. The number of each Literature Classroom's Waterproof School Backpack equals 16. The number of each Anthropology Classroom's Sling Backpack equals each Sling Backpack's Magazine Holder. The number of each Laptop Backpack's Divider Tabs equals the sum of each Literature Classroom's Backpack, each Literature Classroom's Laptop Backpack and each Sling Backpack's Divider Tabs. The number of each Waterproof School Backpack's Magazine Holder equals 9 more than the difference of each Anthropology Classroom's Sling Backpack and each Sling Backpack's Magazine Holder. The number of each Sling Backpack's Divider Tabs equals 15. The number of each Sling Backpack's Magazine Holder equals 2 more than each Anthropology Classroom's Laptop Backpack. The number of each Literature Classroom's Laptop Backpack equals 13 times as much as the difference of each Literature Classroom's Waterproof School Backpack and each Sling Backpack's Divider Tabs. How many Divider Tabs does Sling Backpack have?
Solution: | 17 | Define Sling Backpack's Divider Tabs as y; so y = 15. | 15 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Meerkat Manor's Flounder equals 17. The number of each Meerkat Manor's Bass equals 18. The number of each Flounder's Proximal Phalanges equals each Bass's Scapula. The number of each Insectarium of Chicago's Bear Den equals each Meerkat Manor's Bass. The number of each Montreal Insectarium's Meerkat Manor equals 18 times as much as each Bear Den's Animal. The number of each Bass's Scapula equals 21. How many Bass does Meerkat Manor have?
Solution: Define Meerkat Manor's Bass as O; so O = 18.
Answer: 18
Problem 2: The number of each Music Room's Musical Instrument Backpack equals 18. The number of each Midtown Community College's Music Room equals 19. The number of each Midtown Community College's Visual Arts Studio equals each Music Room's Backpack. The number of each Visual Arts Studio's Beach Backpack equals 15 times as much as the sum of each Midtown Community College's Music Room, each Crescent College's Classroom and each Crescent College's Backpack. How many Music Room does Midtown Community College have?
Solution: Define Midtown Community College's Music Room as A; so A = 19.
Answer: 19
Problem 3: The number of each Caecilian's Carpometacarpus equals 7. The number of each Caecilian's Scapula equals each Caecilian's Carpometacarpus. The number of each Axolotl's Carpometacarpus equals each Axolotl's Scapula. The number of each Butterfly Garden's Axolotl equals 20 more than each Axolotl's Scapula. The number of each Butterfly Garden's Caecilian equals 15 more than the sum of each Caecilian's Scapula, each Ladybug Loft's Axolotl and each Butterfly Garden's Axolotl. The number of each Ladybug Loft's Caecilian equals 19 more than the difference of each Axolotl's Scapula and each Butterfly Garden's Axolotl. The number of each Ladybug Loft's Axolotl equals each Butterfly Garden's Axolotl. The number of each Axolotl's Scapula equals 20. How many Carpometacarpus does Caecilian have?
Solution: Define Caecilian's Carpometacarpus as e; so e = 7.
Answer: 7
Problem 4: The number of each GrubMarket's Kombucha equals each GrubMarket's Smoothies. The number of each GrubMarket's Smoothies equals 14 times as much as each Smoothies's Lettuce. The number of each Kombucha's Beetroot equals the sum of each Blue Apron's Ingredient, each Smoothies's Spinach and each GrubMarket's Smoothies. The number of each Smoothies's Lettuce equals 7. The number of each Smoothies's Spinach equals 21. How many Spinach does Smoothies have?
Solution: | 18 | Define Smoothies's Spinach as L; so L = 21. | 21 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Tarantula Terrarium's Penguin equals 16. The number of each Ant Farm's Parrot equals 7. The number of each Ant Farm's Penguin equals 18 times as much as the sum of each Caterpillar Nursery's Seagull, each Caterpillar Nursery's Animal and each Tarantula Terrarium's Seagull. The number of each Tarantula Terrarium's Seagull equals 6. The number of each Caterpillar Nursery's Seagull equals 2. How many Seagull does Caterpillar Nursery have?
Solution: Define Caterpillar Nursery's Seagull as J; so J = 2.
Answer: 2
Problem 2: The number of each Great White Shark's Cartilage equals 3 more than each Deltoid's Transitional Epithelial Cells. The number of each Great White Shark's Quadriceps equals 12. The number of each Cartilage's Hair Follicle Cells equals each Manatee's Organs. The number of each Puffer Fish's Quadriceps equals each Quadriceps's Transitional Epithelial Cells. The number of each Walrus's Cartilage equals the sum of each Great White Shark's Quadriceps, each Cartilage's Transitional Epithelial Cells, each Deltoid's Transitional Epithelial Cells and each Manatee's Cartilage. The number of each Deltoid's Transitional Epithelial Cells equals 5. The number of each Walrus's Quadriceps equals the sum of each Manatee's Deltoid, each Deltoid's Transitional Epithelial Cells, each Cartilage's Transitional Epithelial Cells and each Quadriceps's Hair Follicle Cells. The number of each Walrus's Deltoid equals 10 times as much as each Manatee's Cartilage. The number of each Manatee's Cartilage equals 2 times as much as the sum of each Cartilage's Transitional Epithelial Cells and each Deltoid's Transitional Epithelial Cells. The number of each Manatee's Deltoid equals 3 more than the sum of each Deltoid's Transitional Epithelial Cells, each Cartilage's Transitional Epithelial Cells and each Great White Shark's Cartilage. The number of each Cartilage's Transitional Epithelial Cells equals 14 more than each Deltoid's Transitional Epithelial Cells. The number of each Great White Shark's Deltoid equals 12 more than the sum of each Walrus's Quadriceps, each Quadriceps's Hair Follicle Cells and each Cartilage's Transitional Epithelial Cells. The number of each Puffer Fish's Cartilage equals 17 more than the sum of each Walrus's Quadriceps, each Deltoid's Transitional Epithelial Cells and each Great White Shark's Cartilage. The number of each Manatee's Quadriceps equals 0. The number of each Quadriceps's Hair Follicle Cells equals 9 more than each Great White Shark's Cartilage. The number of each Deltoid's Hair Follicle Cells equals the sum of each Manatee's Quadriceps, each Great White Shark's Cartilage and each Manatee's Deltoid. The number of each Quadriceps's Transitional Epithelial Cells equals the difference of each Deltoid's Transitional Epithelial Cells and each Great White Shark's Quadriceps. How many Quadriceps does Great White Shark have?
Solution: Define Great White Shark's Quadriceps as r; so r = 12.
Answer: 12
Problem 3: The number of each Wolf Woods's Sparrow equals each Moremi Game Reserve's Small Mammal House. The number of each Anteater Area's Sparrow equals each Moremi Game Reserve's Wolf Woods. The number of each Wolf Woods's Seagull equals 11. The number of each Moremi Game Reserve's Small Mammal House equals the sum of each Wolf Woods's Seagull and each Addo Elephant National Park's Small Mammal House. The number of each Small Mammal House's Sparrow equals each Anteater Area's Parrot. The number of each Small Mammal House's Seagull equals 2 times as much as each Moremi Game Reserve's Small Mammal House. The number of each Anteater Area's Seagull equals 22 more than each Wolf Woods's Seagull. The number of each Addo Elephant National Park's Small Mammal House equals each Wolf Woods's Seagull. The number of each Anteater Area's Parrot equals 16. The number of each Wolf Woods's Parrot equals each Moremi Game Reserve's Small Mammal House. The number of each Addo Elephant National Park's Wolf Woods equals 8. The number of each Moremi Game Reserve's Anteater Area equals the sum of each Moremi Game Reserve's Wolf Woods, each Addo Elephant National Park's Small Mammal House and each Anteater Area's Seagull. The number of each Wolf Woods's Falcon equals the difference of each Wolf Woods's Seagull and each Small Mammal House's Seagull. The number of each Anteater Area's Falcon equals each Wolf Woods's Seagull. The number of each Moremi Game Reserve's Wolf Woods equals 0 more than each Moremi Game Reserve's Small Mammal House. The number of each Small Mammal House's Falcon equals 10. How many Parrot does Anteater Area have?
Solution: Define Anteater Area's Parrot as O; so O = 16.
Answer: 16
Problem 4: The number of each Moth Metropolis's Fire Salamander equals 22. The number of each Glass Frog's Hypurals equals 11. The number of each Fire Salamander's Neural Spines equals 4. The number of each Ladybug Loft's Glass Frog equals each Moth Metropolis's Fire Salamander. The number of each Los Angeles Insectarium's Ladybug Loft equals each Fire Salamander's Neural Spines. The number of each Insectarium of Boston's Moth Metropolis equals 22 times as much as the sum of each Fire Salamander's Neural Spines, each Ladybug Loft's Fire Salamander and each Los Angeles Insectarium's Bone. The number of each Moth Metropolis's Glass Frog equals the sum of each Moth Metropolis's Fire Salamander, each Glass Frog's Hypurals and each Ladybug Loft's Glass Frog. The number of each Fire Salamander's Hypurals equals 21. The number of each Glass Frog's Neural Spines equals 12. The number of each Insectarium of Boston's Ladybug Loft equals 18 times as much as each Fire Salamander's Bone. The number of each Ladybug Loft's Fire Salamander equals the sum of each Glass Frog's Hypurals and each Fire Salamander's Hypurals. How many Neural Spines does Fire Salamander have?
Solution: | 19 | Define Fire Salamander's Neural Spines as f; so f = 4. | 4 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each E-Learn Portal's Biology Lab equals each Biology Lab's Beach Backpack. The number of each E-Learn Portal's Forensic Lab equals the difference of each WorldWide Web University's Environmental Science Lab and each Biology Lab's Beach Backpack. The number of each Hunting Backpack's Document Wallet equals the sum of each Forensic Lab's Stationery, each E-Learn Portal's Classroom and each Beach Backpack's Stationery. The number of each Hunting Backpack's Envelope Folder equals 0. The number of each Biology Lab's Beach Backpack equals 12. The number of each Biology Lab's Tactical Backpack equals the difference of each Hunting Backpack's Envelope Folder and each Tactical Backpack's Stationery. The number of each Beach Backpack's Binder equals 16 more than the difference of each Forensic Lab's Stationery and each Forensic Lab's Backpack. The number of each WorldWide Web University's Environmental Science Lab equals 19. The number of each Environmental Science Lab's Hunting Backpack equals the sum of each Forensic Lab's Stationery and each Hunting Backpack's Envelope Folder. How many Envelope Folder does Hunting Backpack have?
Solution: Define Hunting Backpack's Envelope Folder as A; so A = 0.
Answer: 0
Problem 2: The number of each Tarantula Terrarium's Penguin equals 16. The number of each Ant Farm's Parrot equals 7. The number of each Ant Farm's Penguin equals 18 times as much as the sum of each Caterpillar Nursery's Seagull, each Caterpillar Nursery's Animal and each Tarantula Terrarium's Seagull. The number of each Tarantula Terrarium's Seagull equals 6. The number of each Caterpillar Nursery's Seagull equals 2. How many Seagull does Caterpillar Nursery have?
Solution: Define Caterpillar Nursery's Seagull as J; so J = 2.
Answer: 2
Problem 3: The number of each Eagle's Carpometacarpus equals 18. The number of each Meerkat Manor's Eagle equals the difference of each Eagle's Furcula and each Crow's Coracoid. The number of each Houston Zoo's Otter Pool equals 18. The number of each Primate House's Flamingo equals each Otter Pool's Bone. The number of each Crow's Coracoid equals the sum of each Camel Yard's Flamingo and each Houston Zoo's Otter Pool. The number of each Cincinnati Zoo's Camel Yard equals each Houston Zoo's Otter Pool. The number of each Eagle's Furcula equals 14 times as much as each Camel Yard's Flamingo. The number of each Otter Pool's Crow equals each Crow's Bone. The number of each Eagle's Secondary Feathers equals 2. The number of each Camel Yard's Flamingo equals each Houston Zoo's Otter Pool. The number of each Cincinnati Zoo's Meerkat Manor equals the sum of each Zoo de Madrid's Animal, each Hawk's Bone and each Zoo de Madrid's Bone. The number of each Flamingo's Secondary Feathers equals 5. The number of each Houston Zoo's Meerkat Manor equals each Detroit Zoo's Enclosure. The number of each Houston Zoo's Primate House equals each Camel Yard's Animal. The number of each Otter Pool's Hawk equals 0. How many Secondary Feathers does Eagle have?
Solution: Define Eagle's Secondary Feathers as F; so F = 2.
Answer: 2
Problem 4: The number of each Shark Tank's Finch equals the difference of each Singapore Zoo's Sealion Show Pool and each Singapore Zoo's Shark Tank. The number of each Saltwater Fish Exhibit's Finch equals the sum of each Singapore Zoo's Enclosure, each Shark Tank's Woodpecker and each Singapore Zoo's Freshwater Fish Exhibit. The number of each Sealion Show Pool's Finch equals each Singapore Zoo's Freshwater Fish Exhibit. The number of each Sealion Show Pool's Woodpecker equals 2. The number of each Singapore Zoo's Shark Tank equals 21. The number of each Freshwater Fish Exhibit's Woodpecker equals the sum of each Singapore Zoo's Shark Tank, each Philadelphia Zoo's Freshwater Fish Exhibit and each Sealion Show Pool's Finch. The number of each Singapore Zoo's Freshwater Fish Exhibit equals 1 more than each Singapore Zoo's Shark Tank. The number of each Singapore Zoo's Sealion Show Pool equals 4. The number of each Singapore Zoo's Saltwater Fish Exhibit equals each Shark Tank's Animal. The number of each Philadelphia Zoo's Sealion Show Pool equals the sum of each Freshwater Fish Exhibit's Animal and each Singapore Zoo's Sealion Show Pool. The number of each Philadelphia Zoo's Freshwater Fish Exhibit equals the sum of each Shark Tank's Animal, each Philadelphia Zoo's Saltwater Fish Exhibit and each Singapore Zoo's Freshwater Fish Exhibit. The number of each Saltwater Fish Exhibit's Woodpecker equals 8 more than each Sealion Show Pool's Finch. The number of each Shark Tank's Woodpecker equals each Singapore Zoo's Shark Tank. The number of each Philadelphia Zoo's Saltwater Fish Exhibit equals 8. The number of each Freshwater Fish Exhibit's Finch equals 5. How many Saltwater Fish Exhibit does Philadelphia Zoo have?
Solution: | 20 | Define Philadelphia Zoo's Saltwater Fish Exhibit as D; so D = 8. | 8 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Greenwood High's Marketing Classroom equals 4. The number of each Harborview High's Communication Studies Room equals 22 times as much as each Greenwood High's Marketing Classroom. The number of each Harborview High's Journalism Lab equals each Pinnacle High's Marketing Classroom. The number of each Pinnacle High's Marketing Classroom equals each Greenwood High's Marketing Classroom. The number of each Greenwood High's Communication Studies Room equals 9. The number of each Harborview High's Marketing Classroom equals the sum of each Greenwood High's Marketing Classroom and each Harborview High's Communication Studies Room. The number of each Pinnacle High's Journalism Lab equals each Pinnacle High's Marketing Classroom. How many Marketing Classroom does Greenwood High have?
Solution: Define Greenwood High's Marketing Classroom as k; so k = 4.
Answer: 4
Problem 2: The number of each Tiger Territory's Rhinoceros equals 0. The number of each Panda's Metacarpal V equals 22. The number of each Rhinoceros's Middle Phalanx equals 11. The number of each Rhinoceros's Ulnar Carpal equals 15. The number of each Tiger Territory's Panda equals the sum of each Panda's Metacarpal V, each Giraffe Enclosure's Bone, each Tiger Territory's Rhinoceros and each Panda's Bone. How many Metacarpal V does Panda have?
Solution: Define Panda's Metacarpal V as K; so K = 22.
Answer: 22
Problem 3: The number of each Venules's Neurons equals 18. The number of each Venules's Cerebral Cortex Neurons equals the sum of each Capillaries's Cerebral Cortex Neurons, each Venules's Neurons and each Capillaries's Cells. The number of each Capillaries's Cerebral Cortex Neurons equals 8. How many Neurons does Venules have?
Solution: Define Venules's Neurons as G; so G = 18.
Answer: 18
Problem 4: The number of each Hardshell Backpack's Correction Fluid equals 10. The number of each Brightside Elementary's Microbiology Lab equals 13. The number of each Microbiology Lab's Hardshell Backpack equals 12 times as much as the difference of each Lakeview Elementary's Backpack and each Brightside Elementary's Microbiology Lab. The number of each Brightside Elementary's Inorganic Chemistry Lab equals 5. The number of each Hardshell Backpack's Ink Refill equals 11. The number of each Inorganic Chemistry Lab's Organizer Work Backpack equals 15 times as much as each Microbiology Lab's Hardshell Backpack. How many Ink Refill does Hardshell Backpack have?
Solution: | 21 | Define Hardshell Backpack's Ink Refill as T; so T = 11. | 11 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Ray Pool's Mudskipper equals 5. The number of each Caecilian's Secondary Feathers equals 5. The number of each Pacman Frog's Secondary Feathers equals 22. The number of each Ray Pool's Pacman Frog equals 9 more than each Mudskipper's Secondary Feathers. The number of each Caecilian's Distal Phalanges equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Caecilian equals the sum of each Ray Pool's Mudskipper and each Mudskipper's Bone. The number of each Mudskipper's Secondary Feathers equals 20. The number of each Octopus Den's Mudskipper equals 9. The number of each Mudskipper's Furcula equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Mudskipper equals each Mudskipper's Furcula. The number of each Octopus Den's Caecilian equals 5. The number of each Caecilian's Furcula equals 0. How many Secondary Feathers does Mudskipper have?
Solution: Define Mudskipper's Secondary Feathers as s; so s = 20.
Answer: 20
Problem 2: The number of each Snake's Caudal Vertebrae 9 equals 8. The number of each Monitor Lizard's Caudal Vertebrae 9 equals each Skink's Caudal Vertebrae 11. The number of each Monitor Lizard's Caudal Vertebrae 11 equals 10. The number of each Monitor Lizard's Caudal Vertebrae 2 equals 10. The number of each Skink's Caudal Vertebrae 9 equals the sum of each Monitor Lizard's Caudal Vertebrae 11 and each Skink's Caudal Vertebrae 11. The number of each Snake's Caudal Vertebrae 2 equals each Skink's Caudal Vertebrae 11. The number of each Snake's Caudal Vertebrae 11 equals 21. The number of each Skink's Caudal Vertebrae 2 equals the sum of each Monitor Lizard's Caudal Vertebrae 2, each Monitor Lizard's Caudal Vertebrae 9 and each Monitor Lizard's Caudal Vertebrae 11. The number of each Skink's Caudal Vertebrae 11 equals each Monitor Lizard's Caudal Vertebrae 11. How many Caudal Vertebrae 2 does Monitor Lizard have?
Solution: Define Monitor Lizard's Caudal Vertebrae 2 as x; so x = 10.
Answer: 10
Problem 3: The number of each Saphenous Vein's Oligodendrocytes equals each Pulmonary Arteries's Thalamic Neurons. The number of each Venules's Oligodendrocytes equals each Pulmonary Arteries's Neurons. The number of each Pulmonary Arteries's Thalamic Neurons equals 17. The number of each Pulmonary Arteries's Oligodendrocytes equals 7. The number of each Saphenous Vein's Thalamic Neurons equals 5. The number of each Pulmonary Arteries's Neurons equals 17. The number of each Venules's Thalamic Neurons equals each Pulmonary Arteries's Neurons. The number of each Saphenous Vein's Neurons equals each Venules's Thalamic Neurons. How many Oligodendrocytes does Pulmonary Arteries have?
Solution: Define Pulmonary Arteries's Oligodendrocytes as i; so i = 7.
Answer: 7
Problem 4: The number of each Aviary's Haddock equals 14. The number of each Haddock's Middle Phalanges equals the sum of each Vulture Valley's Bone, each Halibut's Secondary Feathers and each Aviary's Swordfish. The number of each Swordfish's Humerus equals 5 times as much as the sum of each Aviary's Swordfish and each Lotherton Hall Bird Garden's Pelican Pier. The number of each Tracy Aviary's Pelican Pier equals 8 more than each Vulture Valley's Animal. The number of each Tracy Aviary's Aviary equals the difference of each Aviary's Swordfish and each Swordfish's Humerus. The number of each Halibut's Secondary Feathers equals 19. The number of each Monte Casino Bird Park's Hawk Haven equals the difference of each Pelican Pier's Halibut and each Halibut's Bone. The number of each Lotherton Hall Bird Garden's Vulture Valley equals each Halibut's Secondary Feathers. The number of each Lotherton Hall Bird Garden's Pelican Pier equals 1 more than each Aviary's Swordfish. The number of each Carp's Middle Phalanges equals 15 more than the sum of each Tracy Aviary's Aviary and each Swordfish's Humerus. The number of each National Aviary's Vulture Valley equals 2. The number of each National Aviary's Hawk Haven equals the difference of each Halibut's Secondary Feathers and each Haddock's Middle Phalanges. The number of each Carp's Secondary Feathers equals 11. The number of each Haddock's Ulna equals 8 times as much as the sum of each Aviary's Swordfish, each Lotherton Hall Bird Garden's Enclosure and each Swordfish's Humerus. The number of each Aviary's Swordfish equals 19. The number of each Swordfish's Secondary Feathers equals the sum of each Pelican Pier's Halibut, each Vulture Valley's Animal, each Lotherton Hall Bird Garden's Enclosure and each Halibut's Bone. The number of each Hawk Haven's Swordfish equals 6. The number of each Hawk Haven's Carp equals 12. The number of each Pelican Pier's Halibut equals the sum of each Halibut's Bone, each Vulture Valley's Bone, each Vulture Valley's Animal and each Haddock's Middle Phalanges. How many Secondary Feathers does Halibut have?
Solution: | 22 | Define Halibut's Secondary Feathers as N; so N = 19. | 19 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Renaissance District's Ocado equals 11. The number of each Medieval Town's Ocado equals 6. The number of each Renaissance District's Instacart equals 14. The number of each Medieval Town's Instacart equals 5 more than each Medieval Town's Ocado. How many Instacart does Renaissance District have?
Solution: Define Renaissance District's Instacart as y; so y = 14.
Answer: 14
Problem 2: The number of each Anteater's Bronchi equals 0. The number of each Anteater's Diaphragm equals 2. The number of each Anteater's Trachea equals 16 more than each Anteater's Bronchi. How many Diaphragm does Anteater have?
Solution: Define Anteater's Diaphragm as j; so j = 2.
Answer: 2
Problem 3: The number of each School District's Publix equals each School District's Albertsons. The number of each International School District's Kroger equals 18 more than each Research District's Albertsons. The number of each School District's Kroger equals each International School District's Walmart. The number of each Research District's Kroger equals 0. The number of each Primary School District's Walmart equals the sum of each Research District's Publix and each International School District's Kroger. The number of each Research District's Walmart equals 5 more than each School District's Albertsons. The number of each Primary School District's Albertsons equals the sum of each Research District's Walmart, each Research District's Supermarket and each International School District's Albertsons. The number of each School District's Albertsons equals 11 times as much as each Research District's Kroger. The number of each School District's Walmart equals the sum of each Research District's Kroger and each School District's Albertsons. The number of each International School District's Walmart equals each School District's Albertsons. The number of each Research District's Publix equals each Research District's Albertsons. The number of each Research District's Albertsons equals 22. The number of each International School District's Albertsons equals 10. The number of each Primary School District's Publix equals 14 more than each Research District's Kroger. The number of each International School District's Publix equals 4 times as much as each Primary School District's Walmart. The number of each Primary School District's Kroger equals each International School District's Kroger. How many Kroger does Research District have?
Solution: Define Research District's Kroger as O; so O = 0.
Answer: 0
Problem 4: The number of each Forest Ridge University's Aerobics Studio equals 4. The number of each Pinnacle Peak University's Hockey Rink equals the sum of each Harbortown University's Archery Range, each Rosewood University's Archery Range and each Pinnacle Peak University's Yoga Studio. The number of each Rosewood University's Yoga Studio equals the sum of each Rosewood University's Archery Range and each Pinnacle Peak University's Archery Range. The number of each Forest Ridge University's Archery Range equals each Rosewood University's Archery Range. The number of each Pinnacle Peak University's Aerobics Studio equals 10. The number of each Harbortown University's Aerobics Studio equals 10 times as much as each Rosewood University's Hockey Rink. The number of each Pinnacle Peak University's Yoga Studio equals each Forest Ridge University's Aerobics Studio. The number of each Pinnacle Peak University's Archery Range equals 10. The number of each Rosewood University's Hockey Rink equals each Rosewood University's Aerobics Studio. The number of each Forest Ridge University's Yoga Studio equals each Forest Ridge University's Aerobics Studio. The number of each Rosewood University's Archery Range equals 20. The number of each Harbortown University's Archery Range equals 17. The number of each Rosewood University's Aerobics Studio equals 1 more than the difference of each Forest Ridge University's Aerobics Studio and each Pinnacle Peak University's Yoga Studio. How many Aerobics Studio does Pinnacle Peak University have?
Solution: | 23 | Define Pinnacle Peak University's Aerobics Studio as S; so S = 10. | 10 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Eagle's Carpometacarpus equals 18. The number of each Meerkat Manor's Eagle equals the difference of each Eagle's Furcula and each Crow's Coracoid. The number of each Houston Zoo's Otter Pool equals 18. The number of each Primate House's Flamingo equals each Otter Pool's Bone. The number of each Crow's Coracoid equals the sum of each Camel Yard's Flamingo and each Houston Zoo's Otter Pool. The number of each Cincinnati Zoo's Camel Yard equals each Houston Zoo's Otter Pool. The number of each Eagle's Furcula equals 14 times as much as each Camel Yard's Flamingo. The number of each Otter Pool's Crow equals each Crow's Bone. The number of each Eagle's Secondary Feathers equals 2. The number of each Camel Yard's Flamingo equals each Houston Zoo's Otter Pool. The number of each Cincinnati Zoo's Meerkat Manor equals the sum of each Zoo de Madrid's Animal, each Hawk's Bone and each Zoo de Madrid's Bone. The number of each Flamingo's Secondary Feathers equals 5. The number of each Houston Zoo's Meerkat Manor equals each Detroit Zoo's Enclosure. The number of each Houston Zoo's Primate House equals each Camel Yard's Animal. The number of each Otter Pool's Hawk equals 0. How many Secondary Feathers does Eagle have?
Solution: Define Eagle's Secondary Feathers as F; so F = 2.
Answer: 2
Problem 2: The number of each Aerospace Engineering Lab's Laptop Professional Backpack equals 21. The number of each Thermodynamics Lab's Modular Backpack equals 17. The number of each Aerospace Engineering Lab's Work Rucksack equals 7. How many Laptop Professional Backpack does Aerospace Engineering Lab have?
Solution: Define Aerospace Engineering Lab's Laptop Professional Backpack as J; so J = 21.
Answer: 21
Problem 3: The number of each Fire Salamander's Radius equals each Jellyfish Gallery's Fire Salamander. The number of each Seal Pool's Newt equals 17. The number of each Tiger Salamander's Metacarpals equals each Jellyfish Gallery's Fire Salamander. The number of each Jellyfish Gallery's Fire Salamander equals 11. The number of each Piranha Pond's Tiger Salamander equals each Jellyfish Gallery's Fire Salamander. The number of each Piranha Pond's Fire Salamander equals 5 more than the sum of each Jellyfish Gallery's Fire Salamander, each Tiger Salamander's Metacarpals and each Fire Salamander's Radius. The number of each Spotted Salamander's Distal Phalanges equals 11 times as much as each Jellyfish Gallery's Fire Salamander. The number of each Fire Salamander's Metacarpals equals the sum of each Fire Salamander's Radius and each Tiger Salamander's Metacarpals. The number of each Spotted Salamander's Ulna equals the sum of each Jellyfish Gallery's Fire Salamander, each Piranha Pond's Fire Salamander and each Spotted Salamander's Distal Phalanges. The number of each Tropical Fish Tanks's Spotted Salamander equals 17. How many Spotted Salamander does Tropical Fish Tanks have?
Solution: Define Tropical Fish Tanks's Spotted Salamander as b; so b = 17.
Answer: 17
Problem 4: The number of each Monkey's Caudal Vertebrae 12 equals 22. The number of each Elephant's Caudal Vertebrae 3 equals each Monkey's Caudal Vertebrae 12. The number of each Tiger's Caudal Vertebrae 12 equals 14. The number of each Montreal Insectarium's Stick Insect Forest equals 6. The number of each Stick Insect Forest's Elephant equals 1 more than each Monkey's Bone. The number of each Stick Insect Forest's Monkey equals 13. The number of each Detroit Insectarium's Scorpion Den equals 14. The number of each Montreal Insectarium's Scorpion Den equals 22. The number of each Tiger's Caudal Vertebrae 5 equals each Tiger's Caudal Vertebrae 12. The number of each Stick Insect Forest's Tiger equals each Elephant's Caudal Vertebrae 3. The number of each Scorpion Den's Monkey equals 3. How many Caudal Vertebrae 12 does Tiger have?
Solution: | 24 | Define Tiger's Caudal Vertebrae 12 as S; so S = 14. | 14 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Zebra's Vena Cava equals the sum of each Endothelium's Skeletal Muscle Cells and each Zebra's Endothelium. The number of each Endothelium's Myoblasts equals 19. The number of each Hippopotamus's Vena Cava equals 1. The number of each Endothelium's Skeletal Muscle Cells equals 9 times as much as each Hippopotamus's Vena Cava. The number of each Hippopotamus's Endothelium equals 1. The number of each Zebra's Endothelium equals 5. The number of each Vena Cava's Myoblasts equals 19 more than the sum of each Hippopotamus's Vena Cava and each Endothelium's Skeletal Muscle Cells. How many Endothelium does Hippopotamus have?
Solution: Define Hippopotamus's Endothelium as V; so V = 1.
Answer: 1
Problem 2: The number of each Meadow's Phoenix equals 8 times as much as the sum of each Phoenix's Aortic Valve, each Phoenix's Cardiac Muscle and each Savanna's Gorgon. The number of each Gorgon's Cardiac Muscle equals 3. The number of each Savanna's Gorgon equals 8. The number of each Phoenix's Cardiac Muscle equals each Phoenix's Aortic Valve. The number of each Savanna's Phoenix equals 19 times as much as each Phoenix's Organs. The number of each Highland Grassland's Gorgon equals each Phoenix's Organs. The number of each Phoenix's Aortic Valve equals 18. The number of each Highland Grassland's Phoenix equals 4. The number of each Meadow's Gorgon equals 11 times as much as each Highland Grassland's Gorgon. How many Cardiac Muscle does Gorgon have?
Solution: Define Gorgon's Cardiac Muscle as N; so N = 3.
Answer: 3
Problem 3: The number of each The High Line in New York City's Staphylococcus equals 13. The number of each Radiolarian's Tricuspid Valve equals 21. The number of each Trichomonas's Tricuspid Valve equals each Radiolarian's Organs. The number of each The High Line in New York City's Trichomonas equals 11. The number of each Gardens by the Bay in Singapore's Radiolarian equals 22. The number of each The High Line in New York City's Radiolarian equals 0. The number of each Tricuspid Valve's Osteoblasts equals 2 times as much as the difference of each Staphylococcus's Mitral Valve and each Trichomonas's Organs. The number of each Mitral Valve's Osteoblasts equals the sum of each The High Line in New York City's Staphylococcus and each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Gardens by the Bay in Singapore's Trichomonas equals 13 times as much as each The High Line in New York City's Trichomonas. The number of each Mitral Valve's Endothelial Cells of Blood Vessels equals 16 times as much as each The High Line in New York City's Staphylococcus. The number of each Staphylococcus's Tricuspid Valve equals each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Staphylococcus's Mitral Valve equals each Radiolarian's Tricuspid Valve. The number of each Trichomonas's Mitral Valve equals the sum of each Mitral Valve's Cells and each The High Line in New York City's Radiolarian. How many Radiolarian does The High Line in New York City have?
Solution: Define The High Line in New York City's Radiolarian as x; so x = 0.
Answer: 0
Problem 4: The number of each Ostrich's Metacarpal III equals each Ostrich's Distal Phalanx. The number of each Ostrich's Intermediate Carpal equals 9. The number of each Crow's Intermediate Carpal equals each Ostrich's Metacarpal III. The number of each Crow's Distal Phalanx equals 19. The number of each Ostrich's Distal Phalanx equals 0. The number of each Peacock's Intermediate Carpal equals each Crow's Distal Phalanx. The number of each Crow's Metacarpal III equals 11. The number of each Peacock's Distal Phalanx equals the sum of each Crow's Distal Phalanx, each Ostrich's Metacarpal III, each Peacock's Intermediate Carpal and each Ostrich's Intermediate Carpal. The number of each Peacock's Metacarpal III equals 4. How many Distal Phalanx does Crow have?
Solution: | 25 | Define Crow's Distal Phalanx as f; so f = 19. | 19 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Ganglia's Alveolar Epithelial Cells equals the sum of each Ganglia's Ciliated Epithelial Cells and each Staphylococcus's Amygdala. The number of each Yeast's Amygdala equals 21. The number of each Staphylococcus's Amygdala equals 7 more than each Ganglia's Ciliated Epithelial Cells. The number of each Amygdala's Alveolar Epithelial Cells equals 10. The number of each Ganglia's Ciliated Epithelial Cells equals 14. The number of each Yeast's Ganglia equals 22. The number of each Staphylococcus's Ganglia equals the sum of each Ganglia's Ciliated Epithelial Cells and each Ganglia's Alveolar Epithelial Cells. How many Ganglia does Yeast have?
Solution: Define Yeast's Ganglia as c; so c = 22.
Answer: 22
Problem 2: The number of each The High Line in New York City's Staphylococcus equals 13. The number of each Radiolarian's Tricuspid Valve equals 21. The number of each Trichomonas's Tricuspid Valve equals each Radiolarian's Organs. The number of each The High Line in New York City's Trichomonas equals 11. The number of each Gardens by the Bay in Singapore's Radiolarian equals 22. The number of each The High Line in New York City's Radiolarian equals 0. The number of each Tricuspid Valve's Osteoblasts equals 2 times as much as the difference of each Staphylococcus's Mitral Valve and each Trichomonas's Organs. The number of each Mitral Valve's Osteoblasts equals the sum of each The High Line in New York City's Staphylococcus and each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Gardens by the Bay in Singapore's Trichomonas equals 13 times as much as each The High Line in New York City's Trichomonas. The number of each Mitral Valve's Endothelial Cells of Blood Vessels equals 16 times as much as each The High Line in New York City's Staphylococcus. The number of each Staphylococcus's Tricuspid Valve equals each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Staphylococcus's Mitral Valve equals each Radiolarian's Tricuspid Valve. The number of each Trichomonas's Mitral Valve equals the sum of each Mitral Valve's Cells and each The High Line in New York City's Radiolarian. How many Radiolarian does The High Line in New York City have?
Solution: Define The High Line in New York City's Radiolarian as x; so x = 0.
Answer: 0
Problem 3: The number of each Penguin Exhibit's Woodpecker equals 12. The number of each Canary's Radius equals 8. The number of each Canary's Secondary Feathers equals 14 times as much as each Toucan Terrace's Woodpecker. The number of each Woodpecker's Radius equals each Canary's Secondary Feathers. The number of each Toucan Terrace's Canary equals 1 more than the sum of each Toucan Terrace's Woodpecker, each Canary's Secondary Feathers and each Woodpecker's Radius. The number of each Penguin Exhibit's Canary equals 2 times as much as each Canary's Secondary Feathers. The number of each Woodpecker's Secondary Feathers equals the sum of each Canary's Secondary Feathers, each Toucan Terrace's Woodpecker and each Penguin Exhibit's Woodpecker. The number of each Toucan Terrace's Woodpecker equals 8. How many Woodpecker does Penguin Exhibit have?
Solution: Define Penguin Exhibit's Woodpecker as c; so c = 12.
Answer: 12
Problem 4: The number of each Crestwood University's Cultural Studies Classroom equals each Forest Ridge University's Classroom. The number of each Forest Ridge University's Visual Arts Studio equals 10. The number of each Lakeside University's Visual Arts Studio equals 4. The number of each Lakeside University's Cultural Studies Classroom equals 2. The number of each Crestwood University's Visual Arts Studio equals 19 times as much as the sum of each Forest Ridge University's Visual Arts Studio and each Lakeside University's Cultural Studies Classroom. How many Visual Arts Studio does Lakeside University have?
Solution: | 26 | Define Lakeside University's Visual Arts Studio as Y; so Y = 4. | 4 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Ripley's Aquarium of Canada's Chameleon Cage equals 4 more than each The Deep's Chameleon Cage. The number of each Adventure Aquarium's Chameleon Cage equals 14. The number of each Ripley's Aquarium of Canada's Newt Nook equals 6. The number of each The Deep's Komodo Dragon Den equals each Ripley's Aquarium of Canada's Newt Nook. The number of each Adventure Aquarium's Komodo Dragon Den equals the sum of each The Deep's Gecko Greenhouse, each Adventure Aquarium's Gecko Greenhouse and each The Deep's Enclosure. The number of each Oceanografic's Gecko Greenhouse equals 4. The number of each Ripley's Aquarium of Canada's Gecko Greenhouse equals 14 times as much as the sum of each Ripley's Aquarium of Canada's Newt Nook and each Ripley's Aquarium of Canada's Komodo Dragon Den. The number of each The Deep's Chameleon Cage equals the difference of each The Deep's Gecko Greenhouse and each Ripley's Aquarium of Canada's Komodo Dragon Den. The number of each The Deep's Gecko Greenhouse equals 2 more than the difference of each Ripley's Aquarium of Canada's Komodo Dragon Den and each Ripley's Aquarium of Canada's Newt Nook. The number of each Oceanografic's Newt Nook equals 11 more than each Adventure Aquarium's Gecko Greenhouse. The number of each Ripley's Aquarium of Canada's Komodo Dragon Den equals 0. The number of each Adventure Aquarium's Newt Nook equals the sum of each Ripley's Aquarium of Canada's Newt Nook, each Adventure Aquarium's Gecko Greenhouse and each Ripley's Aquarium of Canada's Chameleon Cage. The number of each Adventure Aquarium's Gecko Greenhouse equals the difference of each The Deep's Gecko Greenhouse and each Ripley's Aquarium of Canada's Komodo Dragon Den. How many Gecko Greenhouse does Oceanografic have?
Solution: Define Oceanografic's Gecko Greenhouse as n; so n = 4.
Answer: 4
Problem 2: The number of each Safeway's Butter equals 10. The number of each Sam's Club's Butter equals each Sam's Club's Mozzarella Cheese. The number of each BJ's Wholesale Club's Mozzarella Cheese equals 9. The number of each Sam's Club's Mozzarella Cheese equals 10. The number of each BJ's Wholesale Club's Whipped Cream equals 21. The number of each Safeway's Mozzarella Cheese equals each Sam's Club's Mozzarella Cheese. The number of each BJ's Wholesale Club's Butter equals the sum of each Sam's Club's Mozzarella Cheese, each BJ's Wholesale Club's Whipped Cream and each BJ's Wholesale Club's Mozzarella Cheese. How many Mozzarella Cheese does Sam's Club have?
Solution: Define Sam's Club's Mozzarella Cheese as F; so F = 10.
Answer: 10
Problem 3: The number of each The High Line in New York City's Staphylococcus equals 13. The number of each Radiolarian's Tricuspid Valve equals 21. The number of each Trichomonas's Tricuspid Valve equals each Radiolarian's Organs. The number of each The High Line in New York City's Trichomonas equals 11. The number of each Gardens by the Bay in Singapore's Radiolarian equals 22. The number of each The High Line in New York City's Radiolarian equals 0. The number of each Tricuspid Valve's Osteoblasts equals 2 times as much as the difference of each Staphylococcus's Mitral Valve and each Trichomonas's Organs. The number of each Mitral Valve's Osteoblasts equals the sum of each The High Line in New York City's Staphylococcus and each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Gardens by the Bay in Singapore's Trichomonas equals 13 times as much as each The High Line in New York City's Trichomonas. The number of each Mitral Valve's Endothelial Cells of Blood Vessels equals 16 times as much as each The High Line in New York City's Staphylococcus. The number of each Staphylococcus's Tricuspid Valve equals each Mitral Valve's Endothelial Cells of Blood Vessels. The number of each Staphylococcus's Mitral Valve equals each Radiolarian's Tricuspid Valve. The number of each Trichomonas's Mitral Valve equals the sum of each Mitral Valve's Cells and each The High Line in New York City's Radiolarian. How many Radiolarian does The High Line in New York City have?
Solution: Define The High Line in New York City's Radiolarian as x; so x = 0.
Answer: 0
Problem 4: The number of each Kombucha's Pineapple equals 9. The number of each Coffee's Mango equals the sum of each Super Saver's Kombucha and each Kombucha's Ingredient. The number of each Super Saver's Kombucha equals 13 times as much as the sum of each Lidl's Kombucha, each Kombucha's Ingredient and each Kombucha's Pineapple. The number of each Super Saver's Coffee equals 4. The number of each Kombucha's Mango equals 19. The number of each Coffee's Pineapple equals each Kombucha's Mango. The number of each Lidl's Kombucha equals 4 more than each Kombucha's Mango. The number of each Lidl's Coffee equals the sum of each Super Saver's Kombucha and each Kombucha's Pineapple. How many Pineapple does Kombucha have?
Solution: | 27 | Define Kombucha's Pineapple as L; so L = 9. | 9 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Houston Zoo's Ladybug Loft equals each Houston Zoo's Insect House. The number of each Edinburgh Zoo's Cricket Chorus equals 17 times as much as each Ladybug Loft's Dove. The number of each Ladybug Loft's Hummingbird equals 22 times as much as the sum of each Ladybug Loft's Dove, each Edinburgh Zoo's Enclosure and each Houston Zoo's Enclosure. The number of each Ladybug Loft's Dove equals 11. The number of each Houston Zoo's Insect House equals 14. How many Insect House does Houston Zoo have?
Solution: Define Houston Zoo's Insect House as v; so v = 14.
Answer: 14
Problem 2: The number of each Alligator Alley's Marlin equals 16. The number of each Anaconda Exhibit's Shark equals 20. The number of each Marlin's Metacarpal III equals each Anaconda Exhibit's Shark. The number of each Shark's Middle Phalanx equals 4. How many Middle Phalanx does Shark have?
Solution: Define Shark's Middle Phalanx as R; so R = 4.
Answer: 4
Problem 3: The number of each Coastal Ecosystem's Condor equals 21. The number of each Parrot's Spinal Nerves equals 17. The number of each Condor's Spinal Nerves equals each Parrot's Pons. The number of each Coastal Ecosystem's Parrot equals 7. The number of each Stream Ecosystem's Condor equals each Parrot's Spinal Nerves. The number of each Parrot's Pons equals 11 more than each Coastal Ecosystem's Parrot. How many Parrot does Coastal Ecosystem have?
Solution: Define Coastal Ecosystem's Parrot as s; so s = 7.
Answer: 7
Problem 4: The number of each Robotics Lab's Commuter Backpack equals 7 times as much as each Aerospace Engineering Lab's Commuter Backpack. The number of each Robotics Lab's Tech Backpack equals 21 times as much as each Aerospace Engineering Lab's Backpack. The number of each Aerospace Engineering Lab's Tech Backpack equals 7. The number of each Aerospace Engineering Lab's Commuter Backpack equals 17. How many Tech Backpack does Aerospace Engineering Lab have?
Solution: | 28 | Define Aerospace Engineering Lab's Tech Backpack as w; so w = 7. | 7 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Condor Cliff's Hellbender equals 22 times as much as the difference of each Oklahoma City Zoo and Botanical Garden's Enclosure and each Birdland Park and Gardens's Condor Cliff. The number of each Pelican Pier's Mudskipper equals 1. The number of each Swan Lake's Hellbender equals each Pelican Pier's Mudskipper. The number of each Swan Lake's Tiger Salamander equals the difference of each Vulture Valley's Animal and each Pelican Pier's Mudskipper. The number of each Birdland Park and Gardens's Condor Cliff equals 10 times as much as each Pelican Pier's Mudskipper. The number of each Pelican Pier's Pacman Frog equals 7 more than the difference of each Swan Lake's Hellbender and each Vulture Valley's Animal. The number of each Birdland Park and Gardens's Vulture Valley equals 18 times as much as each Oklahoma City Zoo and Botanical Garden's Enclosure. The number of each San Antonio Zoo's Pelican Pier equals each Swan Lake's Tiger Salamander. The number of each Flamingo Gardens's Swan Lake equals 3. How many Swan Lake does Flamingo Gardens have?
Solution: Define Flamingo Gardens's Swan Lake as P; so P = 3.
Answer: 3
Problem 2: The number of each Tracy Aviary's Camel Yard equals 8 more than the sum of each Wolf Woods's Swan, each Wolf Woods's Animal and each Parrot's Pastern Bone. The number of each Camel Yard's Parrot equals 13 more than the sum of each Swan's Pastern Bone, each Swan's Scapula and each Parrot's Scapula. The number of each Swan's Scapula equals 2 times as much as each Swan's Pastern Bone. The number of each Pittsburgh National Aviary's Wolf Woods equals 16 more than the sum of each Wolf Woods's Swan, each Wolf Woods's Animal and each Swan's Pastern Bone. The number of each Parrot's Pastern Bone equals each Swan's Pastern Bone. The number of each Camel Yard's Swan equals the sum of each Wolf Woods's Animal, each Pittsburgh National Aviary's Wolf Woods and each Pittsburgh National Aviary's Enclosure. The number of each Parrot's Sesamoid Bones equals 8 more than the sum of each Parrot's Pastern Bone, each Swan's Scapula and each Wolf Woods's Swan. The number of each Wolf Woods's Swan equals 12. The number of each Swan's Pastern Bone equals 16. The number of each Parrot's Scapula equals 16 times as much as each Swan's Scapula. How many Swan does Wolf Woods have?
Solution: Define Wolf Woods's Swan as l; so l = 12.
Answer: 12
Problem 3: The number of each Armadillo's Pulmonary Valve equals 8 more than each Rhinoceros's Pulmonary Valve. The number of each Armadillo's Pulmonary Veins equals 2. The number of each Rhinoceros's Pulmonary Valve equals 21 times as much as the sum of each Armadillo's Pulmonary Veins, each Pulmonary Valve's Pericytes of Blood Vessels and each Pulmonary Valve's Adipocytes. The number of each Freshwater Pond's Armadillo equals each Armadillo's Pulmonary Veins. The number of each Freshwater Pond's Rhinoceros equals the difference of each Pulmonary Valve's Adipocytes and each Pulmonary Veins's Cells. The number of each Rhinoceros's Pulmonary Veins equals 9 more than the difference of each Pulmonary Valve's Adipocytes and each Seagrass Meadows's Creatures. The number of each Seagrass Meadows's Armadillo equals 0. The number of each Pulmonary Valve's Pericytes of Blood Vessels equals 3. The number of each Pulmonary Veins's Adipocytes equals 9. The number of each Pulmonary Veins's Pericytes of Blood Vessels equals 5. The number of each Pulmonary Valve's Adipocytes equals 1 times as much as the difference of each Armadillo's Pulmonary Veins and each Pulmonary Valve's Pericytes of Blood Vessels. How many Pericytes of Blood Vessels does Pulmonary Veins have?
Solution: Define Pulmonary Veins's Pericytes of Blood Vessels as V; so V = 5.
Answer: 5
Problem 4: The number of each Peacock's Deltoid equals 1 more than each Griffith Park in Los Angeles's Owl. The number of each Griffith Park in Los Angeles's Peacock equals 7 times as much as the sum of each Deltoid's Osteoclasts and each Griffith Park in Los Angeles's Owl. The number of each Griffith Park in Los Angeles's Owl equals each Deltoid's Osteoclasts. The number of each Deltoid's Osteoclasts equals 0. The number of each Deltoid's Osteocytes equals 11 more than each Griffith Park in Los Angeles's Owl. The number of each Peacock's Pelvis equals 2 times as much as the sum of each Owl's Cells, each Deltoid's Osteoclasts and each Central Park in New York City's Creatures. The number of each Pelvis's Osteoclasts equals the sum of each Peacock's Deltoid, each Griffith Park in Los Angeles's Peacock, each Deltoid's Osteoclasts and each Griffith Park in Los Angeles's Owl. The number of each Pelvis's Osteocytes equals 3. The number of each Central Park in New York City's Peacock equals 16 more than the sum of each Pelvis's Osteocytes, each Owl's Organs and each Owl's Cells. How many Osteocytes does Pelvis have?
Solution: | 29 | Define Pelvis's Osteocytes as j; so j = 3. | 3 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Wolf Woods's Sparrow equals each Moremi Game Reserve's Small Mammal House. The number of each Anteater Area's Sparrow equals each Moremi Game Reserve's Wolf Woods. The number of each Wolf Woods's Seagull equals 11. The number of each Moremi Game Reserve's Small Mammal House equals the sum of each Wolf Woods's Seagull and each Addo Elephant National Park's Small Mammal House. The number of each Small Mammal House's Sparrow equals each Anteater Area's Parrot. The number of each Small Mammal House's Seagull equals 2 times as much as each Moremi Game Reserve's Small Mammal House. The number of each Anteater Area's Seagull equals 22 more than each Wolf Woods's Seagull. The number of each Addo Elephant National Park's Small Mammal House equals each Wolf Woods's Seagull. The number of each Anteater Area's Parrot equals 16. The number of each Wolf Woods's Parrot equals each Moremi Game Reserve's Small Mammal House. The number of each Addo Elephant National Park's Wolf Woods equals 8. The number of each Moremi Game Reserve's Anteater Area equals the sum of each Moremi Game Reserve's Wolf Woods, each Addo Elephant National Park's Small Mammal House and each Anteater Area's Seagull. The number of each Wolf Woods's Falcon equals the difference of each Wolf Woods's Seagull and each Small Mammal House's Seagull. The number of each Anteater Area's Falcon equals each Wolf Woods's Seagull. The number of each Moremi Game Reserve's Wolf Woods equals 0 more than each Moremi Game Reserve's Small Mammal House. The number of each Small Mammal House's Falcon equals 10. How many Parrot does Anteater Area have?
Solution: Define Anteater Area's Parrot as O; so O = 16.
Answer: 16
Problem 2: The number of each Messenger Backpack's Sketchbook equals 0. The number of each Waterproof School Backpack's Construction Paper equals 15. The number of each Messenger Backpack's Index Cards equals 3. The number of each Messenger Backpack's Craft Paper equals 11 more than the sum of each Athletic Backpack's Craft Paper, each Laptop Backpack's Sketchbook and each Athletic Backpack's Stationery. The number of each Laptop Backpack's Sketchbook equals 22. The number of each Athletic Backpack's Craft Paper equals 11. The number of each Laptop Backpack's Construction Paper equals 20. The number of each Messenger Backpack's Construction Paper equals each Athletic Backpack's Craft Paper. How many Sketchbook does Messenger Backpack have?
Solution: Define Messenger Backpack's Sketchbook as Y; so Y = 0.
Answer: 0
Problem 3: The number of each Cod's Middle Phalanx equals each Goldfish's Proximal Phalanx. The number of each Goldfish's Proximal Phalanx equals 16. The number of each Cod's Proximal Phalanx equals 2. The number of each Goldfish's Middle Phalanx equals each Goldfish's Proximal Phalanx. How many Proximal Phalanx does Goldfish have?
Solution: Define Goldfish's Proximal Phalanx as I; so I = 16.
Answer: 16
Problem 4: The number of each Executive Backpack's Scissors equals 22. The number of each Commuter Backpack's Hole Puncher equals 2. The number of each Commuter Backpack's Label Maker equals 4. The number of each Microbiology Lab's Commuter Backpack equals 4 times as much as each Executive Backpack's Scissors. The number of each Molecular Biology Lab's Executive Backpack equals each Commuter Backpack's Label Maker. The number of each Molecular Biology Lab's Tech Backpack equals 1. How many Stationery does Geology Lab have?
Solution: | 30 | Define Geology Lab's Stationery as b; so b = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Condor Cliff's Hellbender equals 22 times as much as the difference of each Oklahoma City Zoo and Botanical Garden's Enclosure and each Birdland Park and Gardens's Condor Cliff. The number of each Pelican Pier's Mudskipper equals 1. The number of each Swan Lake's Hellbender equals each Pelican Pier's Mudskipper. The number of each Swan Lake's Tiger Salamander equals the difference of each Vulture Valley's Animal and each Pelican Pier's Mudskipper. The number of each Birdland Park and Gardens's Condor Cliff equals 10 times as much as each Pelican Pier's Mudskipper. The number of each Pelican Pier's Pacman Frog equals 7 more than the difference of each Swan Lake's Hellbender and each Vulture Valley's Animal. The number of each Birdland Park and Gardens's Vulture Valley equals 18 times as much as each Oklahoma City Zoo and Botanical Garden's Enclosure. The number of each San Antonio Zoo's Pelican Pier equals each Swan Lake's Tiger Salamander. The number of each Flamingo Gardens's Swan Lake equals 3. How many Swan Lake does Flamingo Gardens have?
Solution: Define Flamingo Gardens's Swan Lake as P; so P = 3.
Answer: 3
Problem 2: The number of each Anole's Hypurals equals each Beetle Bungalow's Tortoise. The number of each Beetle Bungalow's Tortoise equals 17. The number of each Tortoise's Fin Spines equals 12 times as much as the difference of each Anole's Fin Spines and each Honeybee Hive's Anole. The number of each Tortoise's Hypurals equals 22 times as much as the sum of each Tortoise's Fin Spines, each Honeybee Hive's Animal and each Honeybee Hive's Anole. The number of each Honeybee Hive's Anole equals 10. The number of each Anole's Fin Spines equals each Anole's Hypurals. The number of each Honeybee Hive's Tortoise equals each Honeybee Hive's Anole. The number of each Beetle Bungalow's Anole equals 21. How many Tortoise does Beetle Bungalow have?
Solution: Define Beetle Bungalow's Tortoise as r; so r = 17.
Answer: 17
Problem 3: The number of each Crab's Pleural Cavity equals 8 times as much as the difference of each Pelagic Zone's Puffer Fish and each River Ecosystem's Puffer Fish. The number of each Manta Ray's Pleural Cavity equals 0. The number of each River Ecosystem's Puffer Fish equals 4. The number of each Pelagic Zone's Manta Ray equals 1. The number of each Puffer Fish's Lungs equals each Deep Sea Ecosystem's Creatures. The number of each Deep Sea Ecosystem's Manta Ray equals 11 times as much as each River Ecosystem's Puffer Fish. The number of each River Ecosystem's Manta Ray equals 10 more than the sum of each River Ecosystem's Puffer Fish and each Deep Sea Ecosystem's Manta Ray. The number of each Pelagic Zone's Puffer Fish equals 3 times as much as each Puffer Fish's Lungs. The number of each Crab's Vocal Cords equals each River Ecosystem's Puffer Fish. The number of each River Ecosystem's Crab equals the difference of each Puffer Fish's Organs and each Crab's Vocal Cords. How many Manta Ray does Pelagic Zone have?
Solution: Define Pelagic Zone's Manta Ray as N; so N = 1.
Answer: 1
Problem 4: The number of each Materials Science Lab's Emergency Backpack equals 2. The number of each Central High's Geometry Room equals each Materials Science Lab's Stationery. The number of each Geometry Room's Fashion Backpack equals the sum of each Aerospace Engineering Lab's Stationery, each Emergency Backpack's Easel and each Central High's Geometry Room. The number of each Emergency Backpack's Easel equals 7 times as much as the sum of each Materials Science Lab's Emergency Backpack and each Geometry Room's Emergency Backpack. The number of each Diaper Backpack's Easel equals 12 times as much as each Materials Science Lab's Backpack. The number of each Hillcrest High's Materials Science Lab equals each Aerospace Engineering Lab's Stationery. The number of each Central High's Aerospace Engineering Lab equals the difference of each Hillcrest High's Thermodynamics Lab and each Fashion Backpack's Embossing Powder. The number of each Fashion Backpack's Embossing Powder equals the sum of each Thermodynamics Lab's Stationery, each Aerospace Engineering Lab's Backpack, each Thermodynamics Lab's Backpack and each Parkview Secondary's Classroom. The number of each Clear Backpack's Drawing Board equals the sum of each Materials Science Lab's Emergency Backpack and each Emergency Backpack's Easel. The number of each Hillcrest High's Thermodynamics Lab equals each Materials Science Lab's Emergency Backpack. The number of each Geometry Room's Diaper Backpack equals 10 more than each Geometry Room's Emergency Backpack. The number of each Geometry Room's Clear Backpack equals the sum of each Emergency Backpack's Easel, each Geometry Room's Emergency Backpack and each Materials Science Lab's Emergency Backpack. The number of each Geometry Room's Emergency Backpack equals 18 times as much as each Materials Science Lab's Emergency Backpack. How many Backpack does Aerospace Engineering Lab have?
Solution: | 31 | Define Aerospace Engineering Lab's Backpack as h; so h = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Hunting Backpack's Correction Fluid equals the sum of each Gaming Backpack's Stamp Pad and each Hunting Backpack's Push Pins. The number of each Astronomy Gear Backpack's Stamp Pad equals 18 times as much as the difference of each Astronomy Gear Backpack's Correction Fluid and each Gaming Backpack's Stamp Pad. The number of each Astronomy Gear Backpack's Correction Fluid equals 14. The number of each Astronomy Gear Backpack's Push Pins equals each Hunting Backpack's Correction Fluid. The number of each Gaming Backpack's Push Pins equals 18. The number of each Hunting Backpack's Stamp Pad equals 15 times as much as each Gaming Backpack's Push Pins. The number of each Gaming Backpack's Correction Fluid equals 8 more than the difference of each Gaming Backpack's Push Pins and each Hunting Backpack's Stamp Pad. The number of each Gaming Backpack's Stamp Pad equals 3. The number of each Hunting Backpack's Push Pins equals each Astronomy Gear Backpack's Stamp Pad. How many Push Pins does Gaming Backpack have?
Solution: Define Gaming Backpack's Push Pins as W; so W = 18.
Answer: 18
Problem 2: The number of each Anteater's Bronchi equals 0. The number of each Anteater's Diaphragm equals 2. The number of each Anteater's Trachea equals 16 more than each Anteater's Bronchi. How many Diaphragm does Anteater have?
Solution: Define Anteater's Diaphragm as j; so j = 2.
Answer: 2
Problem 3: The number of each Anole's Caudal Vertebrae 7 equals 5 more than each Rattlesnake's Caudal Vertebrae 8. The number of each Anole's Caudal Vertebrae 8 equals the sum of each Lizard's Bone, each Rattlesnake's Caudal Vertebrae 2, each Lizard's Caudal Vertebrae 2 and each Lizard's Caudal Vertebrae 7. The number of each Anole's Caudal Vertebrae 2 equals 8. The number of each Rattlesnake's Caudal Vertebrae 2 equals 1. The number of each Rattlesnake's Caudal Vertebrae 7 equals 4 times as much as the difference of each Rattlesnake's Caudal Vertebrae 8 and each Anole's Caudal Vertebrae 2. The number of each Rattlesnake's Caudal Vertebrae 8 equals 12. The number of each Lizard's Caudal Vertebrae 2 equals 18. The number of each Lizard's Caudal Vertebrae 7 equals 16. The number of each Lizard's Caudal Vertebrae 8 equals the sum of each Rattlesnake's Caudal Vertebrae 8 and each Anole's Caudal Vertebrae 7. How many Caudal Vertebrae 2 does Anole have?
Solution: Define Anole's Caudal Vertebrae 2 as z; so z = 8.
Answer: 8
Problem 4: The number of each Pampas's Yeast equals 7 more than the sum of each Tardigrade's Shoulder Joint, each Meadow's Tardigrade and each Tardigrade's Elbow Joint. The number of each Tardigrade's Elbow Joint equals each Tardigrade's Shoulder Joint. The number of each Gonium's Shoulder Joint equals each Steppe's Tardigrade. The number of each Steppe's Tardigrade equals 4. The number of each Gonium's Elbow Joint equals 11. The number of each Yeast's Wrist Joint equals 10. The number of each Gonium's Wrist Joint equals 14. The number of each Pampas's Gonium equals the difference of each Gonium's Elbow Joint and each Gonium's Shoulder Joint. The number of each Steppe's Yeast equals the difference of each Tardigrade's Elbow Joint and each Gonium's Elbow Joint. The number of each Tardigrade's Shoulder Joint equals each Meadow's Tardigrade. The number of each Mixed Grass Prairie's Yeast equals 12 more than the sum of each Steppe's Gonium and each Tardigrade's Elbow Joint. The number of each Mixed Grass Prairie's Tardigrade equals each Gonium's Shoulder Joint. The number of each Mixed Grass Prairie's Gonium equals the difference of each Gonium's Elbow Joint and each Mixed Grass Prairie's Tardigrade. The number of each Steppe's Gonium equals the difference of each Gonium's Elbow Joint and each Tardigrade's Shoulder Joint. The number of each Gonium's Biceps equals the sum of each Pampas's Creatures and each Tardigrade's Shoulder Joint. The number of each Meadow's Tardigrade equals 21. The number of each Tardigrade's Biceps equals the difference of each Meadow's Tardigrade and each Steppe's Tardigrade. How many Tardigrade does Steppe have?
Solution: | 32 | Define Steppe's Tardigrade as X; so X = 4. | 4 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Top-Loading Backpack's Ring Binder equals the sum of each Compression Backpack's Planner and each Mountaineering Backpack's Stationery. The number of each Sociology Classroom's Mountaineering Backpack equals each Graphic Design Studio's Compression Backpack. The number of each Compression Backpack's Ring Binder equals 1. The number of each Compression Backpack's Planner equals each Mountaineering Backpack's Stationery. The number of each Mountaineering Backpack's Desk Pad equals 14. The number of each Graphic Design Studio's Top-Loading Backpack equals 16. The number of each Sociology Classroom's Compression Backpack equals 20 more than the sum of each Graphic Design Studio's Mountaineering Backpack, each Compression Backpack's Desk Pad and each Sociology Classroom's Mountaineering Backpack. The number of each Graphic Design Studio's Compression Backpack equals each Compression Backpack's Ring Binder. The number of each Top-Loading Backpack's Planner equals 18. The number of each Top-Loading Backpack's Desk Pad equals each Mountaineering Backpack's Desk Pad. The number of each Graphic Design Studio's Mountaineering Backpack equals 1 more than each Mountaineering Backpack's Desk Pad. The number of each Compression Backpack's Desk Pad equals the sum of each Graphic Design Studio's Compression Backpack and each Top-Loading Backpack's Planner. How many Ring Binder does Compression Backpack have?
Solution: Define Compression Backpack's Ring Binder as t; so t = 1.
Answer: 1
Problem 2: The number of each Stingray's Capillaries equals 5 more than each Capillaries's Hippocampal Neurons. The number of each Pulmonary Valve's Hippocampal Neurons equals 11. The number of each Pulmonary Valve's Interneurons equals 21. The number of each Seahorse's Pulmonary Valve equals 12. The number of each Capillaries's Hippocampal Neurons equals 1 times as much as each Pulmonary Valve's Hippocampal Neurons. The number of each Seahorse's Capillaries equals each Pulmonary Valve's Hippocampal Neurons. How many Pulmonary Valve does Seahorse have?
Solution: Define Seahorse's Pulmonary Valve as Y; so Y = 12.
Answer: 12
Problem 3: The number of each Greenwood High's Marketing Classroom equals 4. The number of each Harborview High's Communication Studies Room equals 22 times as much as each Greenwood High's Marketing Classroom. The number of each Harborview High's Journalism Lab equals each Pinnacle High's Marketing Classroom. The number of each Pinnacle High's Marketing Classroom equals each Greenwood High's Marketing Classroom. The number of each Greenwood High's Communication Studies Room equals 9. The number of each Harborview High's Marketing Classroom equals the sum of each Greenwood High's Marketing Classroom and each Harborview High's Communication Studies Room. The number of each Pinnacle High's Journalism Lab equals each Pinnacle High's Marketing Classroom. How many Marketing Classroom does Greenwood High have?
Solution: Define Greenwood High's Marketing Classroom as k; so k = 4.
Answer: 4
Problem 4: The number of each Pleasant Hill Primary's Anthropology Classroom equals 14. The number of each Organizer Backpack's Notebook equals the sum of each Photography Studio's Backpack, each Anthropology Classroom's Stationery, each Meadowbrook Primary's Backpack and each Meadowbrook Primary's Photography Studio. The number of each Sling Backpack's Wrapping Paper equals 21 more than each Pleasant Hill Primary's Cultural Studies Classroom. The number of each Cultural Studies Classroom's Organizer Backpack equals 16 times as much as each Anthropology Classroom's Stationery. The number of each Photography Studio's Sling Backpack equals 9. The number of each Pleasant Hill Primary's Cultural Studies Classroom equals 18 more than each Pleasant Hill Primary's Anthropology Classroom. The number of each Meadowbrook Primary's Photography Studio equals 6. How many Backpack does Anthropology Classroom have?
Solution: | 33 | Define Anthropology Classroom's Backpack as Z; so Z = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Tiger Territory's Rhinoceros equals 0. The number of each Panda's Metacarpal V equals 22. The number of each Rhinoceros's Middle Phalanx equals 11. The number of each Rhinoceros's Ulnar Carpal equals 15. The number of each Tiger Territory's Panda equals the sum of each Panda's Metacarpal V, each Giraffe Enclosure's Bone, each Tiger Territory's Rhinoceros and each Panda's Bone. How many Metacarpal V does Panda have?
Solution: Define Panda's Metacarpal V as K; so K = 22.
Answer: 22
Problem 2: The number of each Zebra's Vena Cava equals the sum of each Endothelium's Skeletal Muscle Cells and each Zebra's Endothelium. The number of each Endothelium's Myoblasts equals 19. The number of each Hippopotamus's Vena Cava equals 1. The number of each Endothelium's Skeletal Muscle Cells equals 9 times as much as each Hippopotamus's Vena Cava. The number of each Hippopotamus's Endothelium equals 1. The number of each Zebra's Endothelium equals 5. The number of each Vena Cava's Myoblasts equals 19 more than the sum of each Hippopotamus's Vena Cava and each Endothelium's Skeletal Muscle Cells. How many Endothelium does Hippopotamus have?
Solution: Define Hippopotamus's Endothelium as V; so V = 1.
Answer: 1
Problem 3: The number of each Renaissance District's Ocado equals 11. The number of each Medieval Town's Ocado equals 6. The number of each Renaissance District's Instacart equals 14. The number of each Medieval Town's Instacart equals 5 more than each Medieval Town's Ocado. How many Instacart does Renaissance District have?
Solution: Define Renaissance District's Instacart as y; so y = 14.
Answer: 14
Problem 4: The number of each Engineering Workshop's Travel Daypack equals 1. The number of each Calculus Classroom's Mountaineering Backpack equals each Mechanical Engineering Lab's Backpack. The number of each Engineering Workshop's Carry-On Backpack equals 10. The number of each Mechanical Engineering Lab's Travel Daypack equals 2. The number of each Materials Science Lab's Overnight Backpack equals 11. How many Travel Daypack does Mechanical Engineering Lab have?
Solution: | 34 | Define Mechanical Engineering Lab's Travel Daypack as R; so R = 2. | 2 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Environmental Science Lab's Canvas Backpack equals the sum of each Westwood High's Backpack and each Canvas Backpack's Stationery. The number of each Rosewood High's Environmental Science Lab equals each Environmental Science Lab's Backpack. The number of each Geology Lab's Printed Backpack equals each Printed Backpack's Card Holder. The number of each Geology Lab's Canvas Backpack equals 8. The number of each Printed Backpack's Card Holder equals 6 more than each Geology Lab's Canvas Backpack. The number of each Printed Backpack's Box File equals 4. The number of each Rosewood High's Geology Lab equals the difference of each Canvas Backpack's Stationery and each Westwood High's Backpack. How many Backpack does Westwood High have?
Solution: Define Westwood High's Backpack as b; so b = 0.
Answer: 0
Problem 2: The number of each Montreal Insectarium's Pheasant Pen equals the sum of each Austin Insectarium's Enclosure, each Montreal Insectarium's Crane Courtyard, each Insectarium of Philadelphia's Enclosure and each Austin Insectarium's Pheasant Pen. The number of each Houston Insectarium's Pheasant Pen equals each Insectarium of Philadelphia's Enclosure. The number of each Austin Insectarium's Pheasant Pen equals 16. The number of each Insectarium of Philadelphia's Kiwi House equals 15. The number of each Houston Insectarium's Kiwi House equals 13. The number of each Insectarium of Philadelphia's Macaw Island equals 2 more than the sum of each Houston Insectarium's Kiwi House, each Montreal Insectarium's Crane Courtyard and each Austin Insectarium's Pheasant Pen. The number of each Montreal Insectarium's Crane Courtyard equals each Austin Insectarium's Pheasant Pen. How many Pheasant Pen does Austin Insectarium have?
Solution: Define Austin Insectarium's Pheasant Pen as b; so b = 16.
Answer: 16
Problem 3: The number of each Canned Beans's Lime equals each MOM's Organic Market's Canned Beans. The number of each Archaeological District's MOM's Organic Market equals each Canned Beans's Pear. The number of each Historic Plantation's Nature's Food Patch equals 13. The number of each MOM's Organic Market's Canned Meats equals the sum of each Canned Meats's Ingredient, each Canned Beans's Pear, each Archaeological District's Supermarket and each Canned Meats's Lime. The number of each MOM's Organic Market's Canned Beans equals each Historic Plantation's Nature's Food Patch. The number of each Canned Meats's Lime equals 5 times as much as each Archaeological District's MOM's Organic Market. The number of each Canned Beans's Pear equals 9. The number of each Nature's Food Patch's Canned Beans equals each Historic Plantation's Nature's Food Patch. The number of each Historic Plantation's MOM's Organic Market equals 6. How many Pear does Canned Beans have?
Solution: Define Canned Beans's Pear as K; so K = 9.
Answer: 9
Problem 4: The number of each Convertible Backpack's Legal Pad equals 22. The number of each Convertible Backpack's Post-it Notes equals each International Relations Classroom's Convertible Backpack. The number of each International Relations Classroom's Convertible Backpack equals 9. The number of each Sociology Lab's Top-Loading Backpack equals the sum of each Convertible Backpack's Stationery, each Convertible Backpack's Post-it Notes, each Top-Loading Backpack's Stationery and each International Relations Classroom's Convertible Backpack. How many Legal Pad does Convertible Backpack have?
Solution: | 35 | Define Convertible Backpack's Legal Pad as A; so A = 22. | 22 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Ganglia's Alveolar Epithelial Cells equals the sum of each Ganglia's Ciliated Epithelial Cells and each Staphylococcus's Amygdala. The number of each Yeast's Amygdala equals 21. The number of each Staphylococcus's Amygdala equals 7 more than each Ganglia's Ciliated Epithelial Cells. The number of each Amygdala's Alveolar Epithelial Cells equals 10. The number of each Ganglia's Ciliated Epithelial Cells equals 14. The number of each Yeast's Ganglia equals 22. The number of each Staphylococcus's Ganglia equals the sum of each Ganglia's Ciliated Epithelial Cells and each Ganglia's Alveolar Epithelial Cells. How many Ganglia does Yeast have?
Solution: Define Yeast's Ganglia as c; so c = 22.
Answer: 22
Problem 2: The number of each Lumbar Pack's Stapler equals the difference of each Concealed Carry Backpack's Ink Refill and each Lumbar Pack's Ink Refill. The number of each Concealed Carry Backpack's Laminating Sheets equals 3 more than each Tactical Backpack's Ink Refill. The number of each Lumbar Pack's Rubber Band equals the sum of each Tactical Backpack's Laminating Sheets, each Lumbar Pack's Ink Refill, each Tactical Backpack's Ink Refill and each Concealed Carry Backpack's Ink Refill. The number of each Lumbar Pack's Laminating Sheets equals 1 more than the difference of each Lumbar Pack's Stapler and each Lumbar Pack's Ink Refill. The number of each Concealed Carry Backpack's Ink Refill equals 15. The number of each Lumbar Pack's Ink Refill equals 22. The number of each Concealed Carry Backpack's Stapler equals the sum of each Concealed Carry Backpack's Laminating Sheets and each Concealed Carry Backpack's Ink Refill. The number of each Tactical Backpack's Laminating Sheets equals 22. The number of each Tactical Backpack's Stapler equals 1 more than the sum of each Tactical Backpack's Laminating Sheets, each Concealed Carry Backpack's Ink Refill and each Lumbar Pack's Ink Refill. The number of each Fashion Backpack's Rubber Band equals 8 more than the sum of each Lumbar Pack's Laminating Sheets and each Lumbar Pack's Ink Refill. The number of each Tactical Backpack's Ink Refill equals the difference of each Lumbar Pack's Ink Refill and each Concealed Carry Backpack's Ink Refill. How many Laminating Sheets does Tactical Backpack have?
Solution: Define Tactical Backpack's Laminating Sheets as R; so R = 22.
Answer: 22
Problem 3: The number of each Riparian Forest's Daphnia equals the sum of each E coli's Elbow Joint, each Montane Forest's Daphnia and each Radiolarian's Elbow Joint. The number of each Patella's Red Blood Cells equals 13. The number of each Secondary Forest's E coli equals 9 more than the sum of each Patella's Megakaryocytes, each E coli's Organs and each Daphnia's Elbow Joint. The number of each Radiolarian's Elbow Joint equals the sum of each Riparian Forest's Radiolarian and each Montane Forest's Daphnia. The number of each Daphnia's Patella equals 22. The number of each Elbow Joint's Monocytes equals each Riparian Forest's Radiolarian. The number of each Riparian Forest's E coli equals 8. The number of each E coli's Elbow Joint equals 14. The number of each Radiolarian's Knee Joint equals each Knee Joint's Red Blood Cells. The number of each Patella's Megakaryocytes equals 12 more than each Patella's Red Blood Cells. The number of each Elbow Joint's Megakaryocytes equals the sum of each Daphnia's Elbow Joint, each Patella's Megakaryocytes and each Riparian Forest's Radiolarian. The number of each Montane Forest's Daphnia equals 17. The number of each Daphnia's Elbow Joint equals 12 times as much as each E coli's Elbow Joint. The number of each Riparian Forest's Radiolarian equals the sum of each Daphnia's Elbow Joint and each E coli's Elbow Joint. The number of each Knee Joint's Megakaryocytes equals 11 times as much as each Radiolarian's Elbow Joint. The number of each Knee Joint's Red Blood Cells equals each Daphnia's Elbow Joint. How many Red Blood Cells does Patella have?
Solution: Define Patella's Red Blood Cells as H; so H = 13.
Answer: 13
Problem 4: The number of each Temperate Broadleaf Forest's Cheetah equals each Temperate Broadleaf Forest's Anteater. The number of each Temperate Broadleaf Forest's Anteater equals 10. The number of each Anteater's Wrist Joint equals 7. The number of each Anteater's Pelvis equals 11 times as much as the sum of each Subtropical Rainforest's Anteater and each Cheetah's Pelvis. The number of each Cheetah's Pelvis equals 13 more than each Subtropical Rainforest's Anteater. The number of each Cheetah's Wrist Joint equals 1 times as much as the sum of each Temperate Broadleaf Forest's Anteater, each Cheetah's Pelvis and each Subtropical Rainforest's Anteater. The number of each Subtropical Rainforest's Anteater equals 0. The number of each Subtropical Rainforest's Cheetah equals each Anteater's Pelvis. How many Anteater does Subtropical Rainforest have?
Solution: | 36 | Define Subtropical Rainforest's Anteater as T; so T = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Meadow's Phoenix equals 8 times as much as the sum of each Phoenix's Aortic Valve, each Phoenix's Cardiac Muscle and each Savanna's Gorgon. The number of each Gorgon's Cardiac Muscle equals 3. The number of each Savanna's Gorgon equals 8. The number of each Phoenix's Cardiac Muscle equals each Phoenix's Aortic Valve. The number of each Savanna's Phoenix equals 19 times as much as each Phoenix's Organs. The number of each Highland Grassland's Gorgon equals each Phoenix's Organs. The number of each Phoenix's Aortic Valve equals 18. The number of each Highland Grassland's Phoenix equals 4. The number of each Meadow's Gorgon equals 11 times as much as each Highland Grassland's Gorgon. How many Cardiac Muscle does Gorgon have?
Solution: Define Gorgon's Cardiac Muscle as N; so N = 3.
Answer: 3
Problem 2: The number of each Ray Pool's Mudskipper equals 5. The number of each Caecilian's Secondary Feathers equals 5. The number of each Pacman Frog's Secondary Feathers equals 22. The number of each Ray Pool's Pacman Frog equals 9 more than each Mudskipper's Secondary Feathers. The number of each Caecilian's Distal Phalanges equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Caecilian equals the sum of each Ray Pool's Mudskipper and each Mudskipper's Bone. The number of each Mudskipper's Secondary Feathers equals 20. The number of each Octopus Den's Mudskipper equals 9. The number of each Mudskipper's Furcula equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Mudskipper equals each Mudskipper's Furcula. The number of each Octopus Den's Caecilian equals 5. The number of each Caecilian's Furcula equals 0. How many Secondary Feathers does Mudskipper have?
Solution: Define Mudskipper's Secondary Feathers as s; so s = 20.
Answer: 20
Problem 3: The number of each Environmental Science Lab's Canvas Backpack equals the sum of each Westwood High's Backpack and each Canvas Backpack's Stationery. The number of each Rosewood High's Environmental Science Lab equals each Environmental Science Lab's Backpack. The number of each Geology Lab's Printed Backpack equals each Printed Backpack's Card Holder. The number of each Geology Lab's Canvas Backpack equals 8. The number of each Printed Backpack's Card Holder equals 6 more than each Geology Lab's Canvas Backpack. The number of each Printed Backpack's Box File equals 4. The number of each Rosewood High's Geology Lab equals the difference of each Canvas Backpack's Stationery and each Westwood High's Backpack. How many Backpack does Westwood High have?
Solution: Define Westwood High's Backpack as b; so b = 0.
Answer: 0
Problem 4: The number of each Walmart's Canned Broth equals the sum of each Sainsbury's's Canned Broth, each Castle District's Walmart, each Walmart's Canned Beef and each National Historic Landmark District's Sainsbury's. The number of each Castle District's Walmart equals 20 more than each Sainsbury's's Product. The number of each Walmart's Canned Beef equals 3. The number of each Sainsbury's's Canned Broth equals 14. The number of each Castle District's Sainsbury's equals each Castle District's Walmart. The number of each Old Fortress's Walmart equals 12 more than each Walmart's Canned Beef. The number of each Old Fortress's Sainsbury's equals the difference of each Sainsbury's's Canned Broth and each Walmart's Canned Beef. The number of each Sainsbury's's Canned Beef equals 8. The number of each National Historic Landmark District's Walmart equals 20. The number of each National Historic Landmark District's Sainsbury's equals 12. How many Canned Broth does Sainsbury's have?
Solution: | 37 | Define Sainsbury's's Canned Broth as Y; so Y = 14. | 14 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Zebra's Vena Cava equals the sum of each Endothelium's Skeletal Muscle Cells and each Zebra's Endothelium. The number of each Endothelium's Myoblasts equals 19. The number of each Hippopotamus's Vena Cava equals 1. The number of each Endothelium's Skeletal Muscle Cells equals 9 times as much as each Hippopotamus's Vena Cava. The number of each Hippopotamus's Endothelium equals 1. The number of each Zebra's Endothelium equals 5. The number of each Vena Cava's Myoblasts equals 19 more than the sum of each Hippopotamus's Vena Cava and each Endothelium's Skeletal Muscle Cells. How many Endothelium does Hippopotamus have?
Solution: Define Hippopotamus's Endothelium as V; so V = 1.
Answer: 1
Problem 2: The number of each Lumbar Pack's Stapler equals the difference of each Concealed Carry Backpack's Ink Refill and each Lumbar Pack's Ink Refill. The number of each Concealed Carry Backpack's Laminating Sheets equals 3 more than each Tactical Backpack's Ink Refill. The number of each Lumbar Pack's Rubber Band equals the sum of each Tactical Backpack's Laminating Sheets, each Lumbar Pack's Ink Refill, each Tactical Backpack's Ink Refill and each Concealed Carry Backpack's Ink Refill. The number of each Lumbar Pack's Laminating Sheets equals 1 more than the difference of each Lumbar Pack's Stapler and each Lumbar Pack's Ink Refill. The number of each Concealed Carry Backpack's Ink Refill equals 15. The number of each Lumbar Pack's Ink Refill equals 22. The number of each Concealed Carry Backpack's Stapler equals the sum of each Concealed Carry Backpack's Laminating Sheets and each Concealed Carry Backpack's Ink Refill. The number of each Tactical Backpack's Laminating Sheets equals 22. The number of each Tactical Backpack's Stapler equals 1 more than the sum of each Tactical Backpack's Laminating Sheets, each Concealed Carry Backpack's Ink Refill and each Lumbar Pack's Ink Refill. The number of each Fashion Backpack's Rubber Band equals 8 more than the sum of each Lumbar Pack's Laminating Sheets and each Lumbar Pack's Ink Refill. The number of each Tactical Backpack's Ink Refill equals the difference of each Lumbar Pack's Ink Refill and each Concealed Carry Backpack's Ink Refill. How many Laminating Sheets does Tactical Backpack have?
Solution: Define Tactical Backpack's Laminating Sheets as R; so R = 22.
Answer: 22
Problem 3: The number of each Costco's Cheese equals 14. The number of each Giant Eagle's Provolone Cheese equals the sum of each Residential College District's Product, each Special Education District's Costco and each Residential College District's Supermarket. The number of each Giant Eagle's Cheese equals 20 times as much as the sum of each Language School District's Costco and each Language School District's Giant Eagle. The number of each Sam's Club's Yogurt equals 7 times as much as the sum of each Language School District's Giant Eagle, each Language School District's Costco and each Language School District's Supermarket. The number of each Special Education District's Costco equals 8. The number of each Special Education District's Sam's Club equals the sum of each Special Education District's Costco, each Giant Eagle's Yogurt and each Residential College District's Supermarket. The number of each Costco's Provolone Cheese equals the sum of each Residential College District's Supermarket and each Giant Eagle's Provolone Cheese. The number of each Language School District's Giant Eagle equals 20 times as much as each Language School District's Costco. The number of each Giant Eagle's Yogurt equals 5 more than the sum of each Residential College District's Supermarket, each Residential College District's Product and each Special Education District's Costco. The number of each Language School District's Costco equals 5. The number of each Sam's Club's Cheese equals 21. How many Cheese does Costco have?
Solution: Define Costco's Cheese as S; so S = 14.
Answer: 14
Problem 4: The number of each E coli's Laryngopharynx equals each Mojave Desert's Diatom. The number of each Mojave Desert's Rotifer equals the sum of each E coli's Laryngopharynx, each E coli's Organs, each Diatom's Organs and each Rotifer's Larynx. The number of each Chihuahuan Desert's Diatom equals each Rotifer's Larynx. The number of each Mojave Desert's E coli equals 19. The number of each Mojave Desert's Diatom equals 4. The number of each Rotifer's Larynx equals 15 more than each Mojave Desert's E coli. How many Organs does Diatom have?
Solution: | 38 | Define Diatom's Organs as J; so J = 0. | 0 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Climbing Backpack's Glitter equals 14. The number of each Climbing Backpack's Stamp equals 20 more than the sum of each Climbing Backpack's Glitter and each Snowboard Backpack's Stationery. The number of each Climbing Backpack's Masking Tape equals the sum of each Climbing Backpack's Stamp and each Snowboard Backpack's Stationery. How many Glitter does Climbing Backpack have?
Solution: Define Climbing Backpack's Glitter as I; so I = 14.
Answer: 14
Problem 2: The number of each Hunting Backpack's Correction Fluid equals the sum of each Gaming Backpack's Stamp Pad and each Hunting Backpack's Push Pins. The number of each Astronomy Gear Backpack's Stamp Pad equals 18 times as much as the difference of each Astronomy Gear Backpack's Correction Fluid and each Gaming Backpack's Stamp Pad. The number of each Astronomy Gear Backpack's Correction Fluid equals 14. The number of each Astronomy Gear Backpack's Push Pins equals each Hunting Backpack's Correction Fluid. The number of each Gaming Backpack's Push Pins equals 18. The number of each Hunting Backpack's Stamp Pad equals 15 times as much as each Gaming Backpack's Push Pins. The number of each Gaming Backpack's Correction Fluid equals 8 more than the difference of each Gaming Backpack's Push Pins and each Hunting Backpack's Stamp Pad. The number of each Gaming Backpack's Stamp Pad equals 3. The number of each Hunting Backpack's Push Pins equals each Astronomy Gear Backpack's Stamp Pad. How many Push Pins does Gaming Backpack have?
Solution: Define Gaming Backpack's Push Pins as W; so W = 18.
Answer: 18
Problem 3: The number of each Packable Travel Backpack's Envelope equals 5 times as much as each Travel Daypack's Rubber Band. The number of each Packable Travel Backpack's Correction Fluid equals 22. The number of each Travel Daypack's Correction Fluid equals 10 times as much as each Packable Travel Backpack's Stationery. The number of each Travel Daypack's Envelope equals 16 times as much as the difference of each Travel Daypack's Rubber Band and each Packable Travel Backpack's Envelope. The number of each Packable Travel Backpack's Rubber Band equals 13 times as much as each Packable Travel Backpack's Correction Fluid. The number of each Travel Daypack's Rubber Band equals 4. How many Correction Fluid does Packable Travel Backpack have?
Solution: Define Packable Travel Backpack's Correction Fluid as D; so D = 22.
Answer: 22
Problem 4: The number of each Open Ocean's Gonium equals 22 more than each E coli's Elbow Joint. The number of each Pelagic Zone's E coli equals each Pelagic Zone's Gonium. The number of each Gonium's Elbow Joint equals 5. The number of each Pelagic Zone's Gonium equals 19. The number of each Gonium's Cartilage equals 14. The number of each Open Ocean's E coli equals 5 more than each Pelagic Zone's Gonium. The number of each E coli's Cartilage equals the sum of each Pelagic Zone's Gonium, each Open Ocean's E coli and each Pelagic Zone's E coli. The number of each E coli's Elbow Joint equals 19. How many Cartilage does Gonium have?
Solution: | 39 | Define Gonium's Cartilage as c; so c = 14. | 14 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Top-Loading Backpack's Ring Binder equals the sum of each Compression Backpack's Planner and each Mountaineering Backpack's Stationery. The number of each Sociology Classroom's Mountaineering Backpack equals each Graphic Design Studio's Compression Backpack. The number of each Compression Backpack's Ring Binder equals 1. The number of each Compression Backpack's Planner equals each Mountaineering Backpack's Stationery. The number of each Mountaineering Backpack's Desk Pad equals 14. The number of each Graphic Design Studio's Top-Loading Backpack equals 16. The number of each Sociology Classroom's Compression Backpack equals 20 more than the sum of each Graphic Design Studio's Mountaineering Backpack, each Compression Backpack's Desk Pad and each Sociology Classroom's Mountaineering Backpack. The number of each Graphic Design Studio's Compression Backpack equals each Compression Backpack's Ring Binder. The number of each Top-Loading Backpack's Planner equals 18. The number of each Top-Loading Backpack's Desk Pad equals each Mountaineering Backpack's Desk Pad. The number of each Graphic Design Studio's Mountaineering Backpack equals 1 more than each Mountaineering Backpack's Desk Pad. The number of each Compression Backpack's Desk Pad equals the sum of each Graphic Design Studio's Compression Backpack and each Top-Loading Backpack's Planner. How many Ring Binder does Compression Backpack have?
Solution: Define Compression Backpack's Ring Binder as t; so t = 1.
Answer: 1
Problem 2: The number of each Costco's Cheese equals 14. The number of each Giant Eagle's Provolone Cheese equals the sum of each Residential College District's Product, each Special Education District's Costco and each Residential College District's Supermarket. The number of each Giant Eagle's Cheese equals 20 times as much as the sum of each Language School District's Costco and each Language School District's Giant Eagle. The number of each Sam's Club's Yogurt equals 7 times as much as the sum of each Language School District's Giant Eagle, each Language School District's Costco and each Language School District's Supermarket. The number of each Special Education District's Costco equals 8. The number of each Special Education District's Sam's Club equals the sum of each Special Education District's Costco, each Giant Eagle's Yogurt and each Residential College District's Supermarket. The number of each Costco's Provolone Cheese equals the sum of each Residential College District's Supermarket and each Giant Eagle's Provolone Cheese. The number of each Language School District's Giant Eagle equals 20 times as much as each Language School District's Costco. The number of each Giant Eagle's Yogurt equals 5 more than the sum of each Residential College District's Supermarket, each Residential College District's Product and each Special Education District's Costco. The number of each Language School District's Costco equals 5. The number of each Sam's Club's Cheese equals 21. How many Cheese does Costco have?
Solution: Define Costco's Cheese as S; so S = 14.
Answer: 14
Problem 3: The number of each Sardine's Caudal Vertebrae 6 equals 1. The number of each Salmon's Caudal Vertebrae 6 equals 8 times as much as the sum of each Sardine's Caudal Vertebrae 6 and each Salmon's Caudal Vertebrae 4. The number of each Salmon's Caudal Vertebrae 4 equals 4 times as much as each Sardine's Caudal Vertebrae 6. The number of each Sardine's Caudal Vertebrae 4 equals 10. How many Caudal Vertebrae 6 does Sardine have?
Solution: Define Sardine's Caudal Vertebrae 6 as v; so v = 1.
Answer: 1
Problem 4: The number of each Civic Center's Tesco equals 2. The number of each Civic Center's Carrefour equals 20. The number of each City Hall District's Carrefour equals 3 times as much as each Civic Center's Carrefour. The number of each City Hall District's Tesco equals each Civic Center's Tesco. How many Tesco does Civic Center have?
Solution: | 40 | Define Civic Center's Tesco as Y; so Y = 2. | 2 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Condor Cliff's Hellbender equals 22 times as much as the difference of each Oklahoma City Zoo and Botanical Garden's Enclosure and each Birdland Park and Gardens's Condor Cliff. The number of each Pelican Pier's Mudskipper equals 1. The number of each Swan Lake's Hellbender equals each Pelican Pier's Mudskipper. The number of each Swan Lake's Tiger Salamander equals the difference of each Vulture Valley's Animal and each Pelican Pier's Mudskipper. The number of each Birdland Park and Gardens's Condor Cliff equals 10 times as much as each Pelican Pier's Mudskipper. The number of each Pelican Pier's Pacman Frog equals 7 more than the difference of each Swan Lake's Hellbender and each Vulture Valley's Animal. The number of each Birdland Park and Gardens's Vulture Valley equals 18 times as much as each Oklahoma City Zoo and Botanical Garden's Enclosure. The number of each San Antonio Zoo's Pelican Pier equals each Swan Lake's Tiger Salamander. The number of each Flamingo Gardens's Swan Lake equals 3. How many Swan Lake does Flamingo Gardens have?
Solution: Define Flamingo Gardens's Swan Lake as P; so P = 3.
Answer: 3
Problem 2: The number of each E coli's Triceps equals 22 more than the sum of each Amoeba's Organs, each Amoeba's Triceps and each Triceps's Erythroblasts. The number of each Triceps's Erythroblasts equals 1. The number of each Triceps's Basophils equals 14. The number of each Savanna's Amoeba equals the sum of each Amoeba's Organs and each E coli's Triceps. The number of each Amoeba's Triceps equals 18. The number of each E coli's Spine equals 3. The number of each Northern Grassland's Amoeba equals 1 times as much as each Amoeba's Triceps. The number of each Savanna's E coli equals 3 more than the sum of each Amoeba's Cells and each E coli's Triceps. The number of each Northern Grassland's E coli equals each Amoeba's Cells. How many Cells does Spine have?
Solution: Define Spine's Cells as n; so n = 0.
Answer: 0
Problem 3: The number of each Lowland Grassland's Spirogyra equals 6. The number of each Lowland Grassland's Nematode equals each Diatom's Parietal Lobe. The number of each Lowland Grassland's Diatom equals 3. The number of each Spirogyra's Parietal Lobe equals 7 times as much as each Nematode's Medulla Oblongata. The number of each Steppe's Diatom equals 21 times as much as each Spirogyra's Parietal Lobe. The number of each Spirogyra's Thalamus equals each Prairie's Diatom. The number of each Prairie's Spirogyra equals each Spirogyra's Parietal Lobe. The number of each Nematode's Medulla Oblongata equals 15. The number of each Steppe's Nematode equals 3. The number of each Diatom's Parietal Lobe equals the difference of each Lowland Grassland's Diatom and each Nematode's Parietal Lobe. The number of each Diatom's Thalamus equals 15. The number of each Prairie's Nematode equals 6 times as much as the sum of each Spirogyra's Medulla Oblongata, each Lowland Grassland's Organs and each Nematode's Parietal Lobe. The number of each Spirogyra's Medulla Oblongata equals each Lowland Grassland's Spirogyra. The number of each Nematode's Thalamus equals 12. The number of each Prairie's Diatom equals the difference of each Lowland Grassland's Diatom and each Nematode's Thalamus. The number of each Nematode's Parietal Lobe equals each Lowland Grassland's Diatom. The number of each Steppe's Spirogyra equals 6. The number of each Diatom's Medulla Oblongata equals each Spirogyra's Parietal Lobe. How many Diatom does Lowland Grassland have?
Solution: Define Lowland Grassland's Diatom as x; so x = 3.
Answer: 3
Problem 4: The number of each Pigeon Loft's Hellbender equals 20. The number of each Pigeon Loft's Frog equals each Parrot Paradise's Frog. The number of each Duck Pond's Hellbender equals 9 more than each Pigeon Loft's Hellbender. The number of each Parrot Paradise's Hellbender equals 18. The number of each Parrot Paradise's Frog equals each Parrot Paradise's Hellbender. The number of each Pigeon Loft's Poison Dart Frog equals the sum of each Pigeon Loft's Frog and each Parrot Paradise's Hellbender. The number of each Duck Pond's Frog equals 22 more than the sum of each Parrot Paradise's Hellbender, each Parrot Paradise's Frog and each Pigeon Loft's Frog. The number of each Duck Pond's Poison Dart Frog equals each Parrot Paradise's Hellbender. How many Hellbender does Pigeon Loft have?
Solution: | 41 | Define Pigeon Loft's Hellbender as P; so P = 20. | 20 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Highland Grassland's Stork equals 15. The number of each Highland Grassland's Kingfisher equals 8 times as much as each Highland Grassland's Stork. The number of each Northern Grassland's Flamingo equals 22. How many Flamingo does Northern Grassland have?
Solution: Define Northern Grassland's Flamingo as s; so s = 22.
Answer: 22
Problem 2: The number of each Ray Pool's Mudskipper equals 5. The number of each Caecilian's Secondary Feathers equals 5. The number of each Pacman Frog's Secondary Feathers equals 22. The number of each Ray Pool's Pacman Frog equals 9 more than each Mudskipper's Secondary Feathers. The number of each Caecilian's Distal Phalanges equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Caecilian equals the sum of each Ray Pool's Mudskipper and each Mudskipper's Bone. The number of each Mudskipper's Secondary Feathers equals 20. The number of each Octopus Den's Mudskipper equals 9. The number of each Mudskipper's Furcula equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Mudskipper equals each Mudskipper's Furcula. The number of each Octopus Den's Caecilian equals 5. The number of each Caecilian's Furcula equals 0. How many Secondary Feathers does Mudskipper have?
Solution: Define Mudskipper's Secondary Feathers as s; so s = 20.
Answer: 20
Problem 3: The number of each Butterfly's Deltoid equals each Condor's Organs. The number of each Condor's Biceps equals 19. The number of each Condor's Wrist Joint equals 14 more than each Vulture's Biceps. The number of each Parrot's Wrist Joint equals the sum of each Condor's Wrist Joint, each Parrot's Biceps, each Condor's Triceps and each Vulture's Wrist Joint. The number of each Condor's Triceps equals each Parrot's Biceps. The number of each Condor's Deltoid equals 18. The number of each Parrot's Biceps equals each Condor's Wrist Joint. The number of each Vulture's Biceps equals 16. The number of each Parrot's Triceps equals 7 times as much as the sum of each Vulture's Triceps and each Vulture's Deltoid. The number of each Butterfly's Triceps equals 18. The number of each Butterfly's Biceps equals 8. The number of each Vulture's Wrist Joint equals 7 more than the sum of each Parrot's Biceps, each Vulture's Biceps and each Condor's Wrist Joint. The number of each Vulture's Triceps equals each Condor's Biceps. The number of each Vulture's Deltoid equals 22. The number of each Butterfly's Wrist Joint equals each Condor's Deltoid. The number of each Parrot's Deltoid equals 3 more than the sum of each Condor's Organs, each Vulture's Organs and each Parrot's Biceps. How many Deltoid does Vulture have?
Solution: Define Vulture's Deltoid as S; so S = 22.
Answer: 22
Problem 4: The number of each Historic Downtown's Mitsuwa Marketplace equals 13. The number of each Historic Downtown's H Mart equals 11 more than each Historic Downtown's Mitsuwa Marketplace. The number of each Historic Downtown's Sedano's equals 4. How many Sedano's does Historic Downtown have?
Solution: | 42 | Define Historic Downtown's Sedano's as y; so y = 4. | 4 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Climbing Backpack's Glitter equals 14. The number of each Climbing Backpack's Stamp equals 20 more than the sum of each Climbing Backpack's Glitter and each Snowboard Backpack's Stationery. The number of each Climbing Backpack's Masking Tape equals the sum of each Climbing Backpack's Stamp and each Snowboard Backpack's Stationery. How many Glitter does Climbing Backpack have?
Solution: Define Climbing Backpack's Glitter as I; so I = 14.
Answer: 14
Problem 2: The number of each Biceps's Chondrocytes equals the sum of each Wrist Joint's Cells and each Wrist Joint's Adipocytes. The number of each Biceps's Adipocytes equals the difference of each Wrist Joint's Cells and each Biceps's Tenocytes. The number of each Wrist Joint's Adipocytes equals 10. The number of each Biceps's Tenocytes equals the sum of each Wrist Joint's Adipocytes and each Biceps's Chondrocytes. How many Adipocytes does Wrist Joint have?
Solution: Define Wrist Joint's Adipocytes as p; so p = 10.
Answer: 10
Problem 3: The number of each Tarantula Terrarium's Penguin equals 16. The number of each Ant Farm's Parrot equals 7. The number of each Ant Farm's Penguin equals 18 times as much as the sum of each Caterpillar Nursery's Seagull, each Caterpillar Nursery's Animal and each Tarantula Terrarium's Seagull. The number of each Tarantula Terrarium's Seagull equals 6. The number of each Caterpillar Nursery's Seagull equals 2. How many Seagull does Caterpillar Nursery have?
Solution: Define Caterpillar Nursery's Seagull as J; so J = 2.
Answer: 2
Problem 4: The number of each Two-Strap Backpack's Calendar equals each Number Theory Room's Two-Strap Backpack. The number of each Pinnacle Peak University's Robotics Lab equals each Two-Strap Backpack's Name Badge. The number of each Scholar Backpack's Calendar equals 7. The number of each Number Theory Room's Scholar Backpack equals 9. The number of each Metropolitan University's Robotics Lab equals the sum of each Two-Strap Backpack's Stationery, each Two-Strap Backpack's Name Badge, each Metropolitan University's Number Theory Room and each Number Theory Room's Scholar Backpack. The number of each Metropolitan University's Number Theory Room equals 6. The number of each Robotics Lab's Scholar Backpack equals 22 more than the sum of each Pinnacle Peak University's Number Theory Room, each Number Theory Room's Scholar Backpack and each Number Theory Room's Two-Strap Backpack. The number of each Two-Strap Backpack's Name Badge equals 11. The number of each Number Theory Room's Two-Strap Backpack equals 5. The number of each Robotics Lab's Two-Strap Backpack equals 16 times as much as each Scholar Backpack's Stationery. The number of each Forest Ridge University's Robotics Lab equals 7 times as much as the sum of each Number Theory Room's Two-Strap Backpack and each Pinnacle Peak University's Number Theory Room. The number of each Forest Ridge University's Number Theory Room equals 8. The number of each Pinnacle Peak University's Number Theory Room equals 11 more than each Number Theory Room's Two-Strap Backpack. How many Name Badge does Two-Strap Backpack have?
Solution: | 43 | Define Two-Strap Backpack's Name Badge as P; so P = 11. | 11 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Coastal Ecosystem's Condor equals 21. The number of each Parrot's Spinal Nerves equals 17. The number of each Condor's Spinal Nerves equals each Parrot's Pons. The number of each Coastal Ecosystem's Parrot equals 7. The number of each Stream Ecosystem's Condor equals each Parrot's Spinal Nerves. The number of each Parrot's Pons equals 11 more than each Coastal Ecosystem's Parrot. How many Parrot does Coastal Ecosystem have?
Solution: Define Coastal Ecosystem's Parrot as s; so s = 7.
Answer: 7
Problem 2: The number of each Ray Pool's Mudskipper equals 5. The number of each Caecilian's Secondary Feathers equals 5. The number of each Pacman Frog's Secondary Feathers equals 22. The number of each Ray Pool's Pacman Frog equals 9 more than each Mudskipper's Secondary Feathers. The number of each Caecilian's Distal Phalanges equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Caecilian equals the sum of each Ray Pool's Mudskipper and each Mudskipper's Bone. The number of each Mudskipper's Secondary Feathers equals 20. The number of each Octopus Den's Mudskipper equals 9. The number of each Mudskipper's Furcula equals each Ray Pool's Mudskipper. The number of each Piranha Pond's Mudskipper equals each Mudskipper's Furcula. The number of each Octopus Den's Caecilian equals 5. The number of each Caecilian's Furcula equals 0. How many Secondary Feathers does Mudskipper have?
Solution: Define Mudskipper's Secondary Feathers as s; so s = 20.
Answer: 20
Problem 3: The number of each Sydney Zoo's Iguana Habitat equals 19 more than each Python Palace's Bone. The number of each Anaconda's Carpometacarpus equals 14. The number of each Iguana Habitat's Anaconda equals 11. The number of each Sydney Zoo's Python Palace equals 4. The number of each Iguana Habitat's Lizard equals 18. The number of each Lizard's Metacarpals equals each Python Palace's Bone. How many Bone does Calgary Zoo have?
Solution: Define Calgary Zoo's Bone as A; so A = 0.
Answer: 0
Problem 4: The number of each GlobalNet University's Table Tennis Room equals each Golf Practice Area's Mountaineering Backpack. The number of each Table Tennis Room's Mountaineering Backpack equals each GlobalNet University's Table Tennis Room. The number of each Golf Practice Area's Mountaineering Backpack equals 18. The number of each NetEdge College's Table Tennis Room equals 7. The number of each Golf Practice Area's Carry-On Backpack equals 18 more than each Golf Practice Area's Mountaineering Backpack. The number of each Table Tennis Room's Carry-On Backpack equals 14. The number of each NetEdge College's Golf Practice Area equals 19. The number of each GlobalNet University's Golf Practice Area equals each Golf Practice Area's Carry-On Backpack. How many Table Tennis Room does NetEdge College have?
Solution: | 44 | Define NetEdge College's Table Tennis Room as Y; so Y = 7. | 7 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Arabian Desert's Blue Whale equals each Great White Shark's Organs. The number of each Arabian Desert's Great White Shark equals 5 more than each Great White Shark's Spinal Cord. The number of each Blue Whale's Spinal Cord equals 13 times as much as the sum of each Negev Desert's Creatures and each Arabian Desert's Blue Whale. The number of each Negev Desert's Blue Whale equals 13. The number of each Great White Shark's Occipital Lobe equals 10. The number of each Great White Shark's Spinal Cord equals 15. The number of each Negev Desert's Great White Shark equals 4. The number of each Blue Whale's Occipital Lobe equals 19 times as much as each Great White Shark's Spinal Cord. How many Spinal Cord does Great White Shark have?
Solution: Define Great White Shark's Spinal Cord as A; so A = 15.
Answer: 15
Problem 2: The number of each Stingray's Capillaries equals 5 more than each Capillaries's Hippocampal Neurons. The number of each Pulmonary Valve's Hippocampal Neurons equals 11. The number of each Pulmonary Valve's Interneurons equals 21. The number of each Seahorse's Pulmonary Valve equals 12. The number of each Capillaries's Hippocampal Neurons equals 1 times as much as each Pulmonary Valve's Hippocampal Neurons. The number of each Seahorse's Capillaries equals each Pulmonary Valve's Hippocampal Neurons. How many Pulmonary Valve does Seahorse have?
Solution: Define Seahorse's Pulmonary Valve as Y; so Y = 12.
Answer: 12
Problem 3: The number of each Market Basket's Sodas equals 8 more than the sum of each Shop 'n Save's Bottled Water, each Sodas's Chicken Wing and each Juices's Bacon. The number of each Kombucha's Bacon equals each Kombucha's Chicken Wing. The number of each Sodas's Chicken Wing equals each Juices's Chicken Wing. The number of each Kombucha's Lamb equals 9. The number of each Juices's Chicken Wing equals 12. The number of each Food 4 Less's Sodas equals each Lidl's Sodas. The number of each Juices's Lamb equals 8 times as much as the sum of each Lidl's Sodas, each Bottled Water's Bacon and each Juices's Chicken Wing. The number of each Bottled Water's Duck equals 20 times as much as each Kombucha's Lamb. The number of each Kombucha's Chicken Wing equals 12. The number of each Shop 'n Save's Bottled Water equals each Sodas's Chicken Wing. The number of each Juices's Duck equals the difference of each Market Basket's Kombucha and each Shop 'n Save's Product. The number of each Bottled Water's Bacon equals 17 more than each Juices's Bacon. The number of each Lidl's Juices equals 1 times as much as the sum of each Market Basket's Sodas, each Shop 'n Save's Bottled Water and each Juices's Chicken Wing. The number of each Market Basket's Kombucha equals the sum of each Bottled Water's Ingredient, each Juices's Bacon and each Sodas's Ingredient. The number of each Lidl's Sodas equals 2. The number of each Juices's Bacon equals 13 times as much as each Juices's Chicken Wing. The number of each Sodas's Duck equals 6. How many Sodas does Lidl have?
Solution: Define Lidl's Sodas as p; so p = 2.
Answer: 2
Problem 4: The number of each Sainsbury's's Parmesan Cheese equals each Sainsbury's's Cheddar Cheese. The number of each Sainsbury's's Cheddar Cheese equals 8. The number of each WinCo Foods's Cheddar Cheese equals 22. The number of each WinCo Foods's Parmesan Cheese equals each Sainsbury's's Cheddar Cheese. How many Cheddar Cheese does Sainsbury's have?
Solution: | 45 | Define Sainsbury's's Cheddar Cheese as U; so U = 8. | 8 | 1 |
Consider the following high school-level math problems where all numbers are integers with arithmetic modulo 23.
Problem 1: The number of each Peacock's Appendix equals each Appendix's Alveolar Epithelial Cells. The number of each Gallbladder's Alveolar Epithelial Cells equals the sum of each Appendix's Alveolar Epithelial Cells, each Crow's Appendix and each Montane Grassland's Crow. The number of each Appendix's Alveolar Epithelial Cells equals 10. The number of each Veldt's Peacock equals each Crow's Appendix. The number of each Crow's Appendix equals 19. The number of each Appendix's Intestinal Absorptive Cells equals 4. The number of each Montane Grassland's Crow equals 17. The number of each Veldt's Crow equals the difference of each Crow's Gallbladder and each Gallbladder's Cells. The number of each Peacock's Gallbladder equals each Montane Grassland's Peacock. The number of each Crow's Gallbladder equals each Appendix's Cells. The number of each Montane Grassland's Peacock equals 16. The number of each Gallbladder's Intestinal Absorptive Cells equals 2. How many Peacock does Montane Grassland have?
Solution: Define Montane Grassland's Peacock as Y; so Y = 16.
Answer: 16
Problem 2: The number of each Renaissance District's Ocado equals 11. The number of each Medieval Town's Ocado equals 6. The number of each Renaissance District's Instacart equals 14. The number of each Medieval Town's Instacart equals 5 more than each Medieval Town's Ocado. How many Instacart does Renaissance District have?
Solution: Define Renaissance District's Instacart as y; so y = 14.
Answer: 14
Problem 3: The number of each Riparian Forest's Daphnia equals the sum of each E coli's Elbow Joint, each Montane Forest's Daphnia and each Radiolarian's Elbow Joint. The number of each Patella's Red Blood Cells equals 13. The number of each Secondary Forest's E coli equals 9 more than the sum of each Patella's Megakaryocytes, each E coli's Organs and each Daphnia's Elbow Joint. The number of each Radiolarian's Elbow Joint equals the sum of each Riparian Forest's Radiolarian and each Montane Forest's Daphnia. The number of each Daphnia's Patella equals 22. The number of each Elbow Joint's Monocytes equals each Riparian Forest's Radiolarian. The number of each Riparian Forest's E coli equals 8. The number of each E coli's Elbow Joint equals 14. The number of each Radiolarian's Knee Joint equals each Knee Joint's Red Blood Cells. The number of each Patella's Megakaryocytes equals 12 more than each Patella's Red Blood Cells. The number of each Elbow Joint's Megakaryocytes equals the sum of each Daphnia's Elbow Joint, each Patella's Megakaryocytes and each Riparian Forest's Radiolarian. The number of each Montane Forest's Daphnia equals 17. The number of each Daphnia's Elbow Joint equals 12 times as much as each E coli's Elbow Joint. The number of each Riparian Forest's Radiolarian equals the sum of each Daphnia's Elbow Joint and each E coli's Elbow Joint. The number of each Knee Joint's Megakaryocytes equals 11 times as much as each Radiolarian's Elbow Joint. The number of each Knee Joint's Red Blood Cells equals each Daphnia's Elbow Joint. How many Red Blood Cells does Patella have?
Solution: Define Patella's Red Blood Cells as H; so H = 13.
Answer: 13
Problem 4: The number of each Starlight University's Ceramics Studio equals 6. The number of each Crestwood University's Drama Studio equals 18 times as much as the sum of each Starlight University's Classroom, each Starlight University's Ceramics Studio and each Starlight University's Drama Studio. The number of each Crestwood University's Ceramics Studio equals 11. The number of each Starlight University's Drama Studio equals 9. How many Ceramics Studio does Crestwood University have?
Solution: | 46 | Define Crestwood University's Ceramics Studio as X; so X = 11. | 11 | 1 |
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