question stringlengths 24 149 | answer stringlengths 5 28 | reasoning stringlengths 96 297 | category stringclasses 5
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The oven is preheated to 41 Celsius. What is that in Fahrenheit? | 105.8 °F | Step 1: Identify the given value: 41 °C.
Step 2: Apply the formula F = C x 9/5 + 32 to get 105.8 °F. | temperature | hard |
Convert 163 fluid ounces to milliliters. | 4820.485319 milliliters | Step 1: 1 fluid ounce = 0.029574 liters, and 1 milliliter = 0.001 of the same base unit, so 1 fluid ounce = 29.57353 milliliters.
Step 2: 163 fluid ounces x 29.57353 = 4820.485319 milliliters. | volume | easy |
The oven is preheated to 155 Fahrenheit. What is that in Celsius? | 68.33 °C | Step 1: Identify the given value: 155 °F.
Step 2: Apply the formula C = (F - 32) x 5/9 to get 68.33 °C. | temperature | hard |
Convert 36.4 pounds to metric tons. | 0.016511 metric tons | Step 1: 1 pound = 453.59237 grams, and 1 metric ton = 1000000 of the same base unit, so 1 pound = 0.000454 metric tons.
Step 2: 36.4 pounds x 0.000454 = 0.016511 metric tons. | weight | easy |
Convert 53 kilograms to milligrams. | 53000000 milligrams | Step 1: 1 kilogram = 1000 grams, and 1 milligram = 0.001 of the same base unit, so 1 kilogram = 1000000 milligrams.
Step 2: 53 kilograms x 1000000 = 53000000 milligrams. | weight | easy |
Convert 131 stone to ounces. | 29344 ounces | Step 1: 1 stone = 6350.29318 grams, and 1 ounce = 28.349523 of the same base unit, so 1 stone = 224 ounces.
Step 2: 131 stones x 224 = 29344 ounces. | weight | easy |
Convert -24 degrees Celsius to Fahrenheit. | -11.2 °F | Step 1: Use the formula F = C x 9/5 + 32.
Step 2: Substitute the value: -24 °C converts to -11.2 °F. | temperature | easy |
A temperature reads 185 degrees Fahrenheit. First convert it to Celsius, then convert that result to Kelvin. What is the final value in Kelvin? | 358.15 K | Step 1: Convert fahrenheit to celsius: 185 °F = 85 °C.
Step 2: Convert celsius to kelvin: 85 °C = 358.15 K. | temperature | medium |
A quantity is 377.86 inches. First convert it to feet, then convert that result to yards. What is the final value in yards? | 10.496111 yards | Step 1: Convert inch to foot. 1 inch = 0.083333 feet, so 377.86 inchs x 0.083333 = 31.488333 feet.
Step 2: Convert foot to yard. 1 foot = 0.333333 yards, so 31.488333 feet x 0.333333 = 10.496111 yards. | length | medium |
Convert 8.4 hours to days. | 0.35 days | Step 1: 1 hour = 3600 seconds, and 1 day = 86400 of the same base unit, so 1 hour = 0.041667 days.
Step 2: 8.4 hours x 0.041667 = 0.35 days. | time | easy |
A marathon runner finishes the race in 33.6 weeks. How many seconds is that? | 20321280 seconds | Step 1: Identify the given quantity: 33.6 weeks.
Step 2: The conversion factor is 1 week = 604800 seconds.
Step 3: Multiply: 33.6 x 604800 = 20321280 seconds. | time | hard |
A recipe calls for 66 fluid ounces of milk. How many cubic meters is that? | 0.001952 cubic meters | Step 1: Identify the given quantity: 66 fluid ounces.
Step 2: The conversion factor is 1 fluid ounce = 0.00003 cubic meters.
Step 3: Multiply: 66 x 0.00003 = 0.001952 cubic meters. | volume | hard |
Convert 42 tablespoons to gallons. | 0.164062 gallons | Step 1: 1 tablespoon = 0.014787 liters, and 1 gallon = 3.785412 of the same base unit, so 1 tablespoon = 0.003906 gallons.
Step 2: 42 tablespoons x 0.003906 = 0.164062 gallons. | volume | easy |
A quantity is 128.87 gallons. First convert it to teaspoons, then convert that result to quarts. What is the final value in quarts? | 515.48 quarts | Step 1: Convert gallon to teaspoon. 1 gallon = 768 teaspoons, so 128.87 gallons x 768 = 98972.16 teaspoons.
Step 2: Convert teaspoon to quart. 1 teaspoon = 0.005208 quarts, so 98972.16 teaspoons x 0.005208 = 515.48 quarts. | volume | medium |
A movie lasts 31.2 seconds. How many hours is that? | 0.008667 hours | Step 1: Identify the given quantity: 31.2 seconds.
Step 2: The conversion factor is 1 second = 0.000278 hours.
Step 3: Multiply: 31.2 x 0.000278 = 0.008667 hours. | time | hard |
A bag of flour weighs 27 kilograms. How many metric tons does it weigh? | 0.027 metric tons | Step 1: Identify the given quantity: 27 kilograms.
Step 2: The conversion factor is 1 kilogram = 0.001 metric tons.
Step 3: Multiply: 27 x 0.001 = 0.027 metric tons. | weight | hard |
Convert 26.8 teaspoons to tablespoons. | 8.933333 tablespoons | Step 1: 1 teaspoon = 0.004929 liters, and 1 tablespoon = 0.014787 of the same base unit, so 1 teaspoon = 0.333333 tablespoons.
Step 2: 26.8 teaspoons x 0.333333 = 8.933333 tablespoons. | volume | easy |
Water boils and the thermometer reads 331 Kelvin. What is that in Fahrenheit? | 136.13 °F | Step 1: Identify the given value: 331 K.
Step 2: Apply the formula F = (K - 273.15) x 9/5 + 32 to get 136.13 °F. | temperature | hard |
Convert 89 degrees Fahrenheit to Celsius. | 31.67 °C | Step 1: Use the formula C = (F - 32) x 5/9.
Step 2: Substitute the value: 89 °F converts to 31.67 °C. | temperature | easy |
Convert 22 feet to meters. | 6.7056 meters | Step 1: 1 foot = 0.3048 meters, and 1 meter = 1 of the same base unit, so 1 foot = 0.3048 meters.
Step 2: 22 feet x 0.3048 = 6.7056 meters. | length | easy |
A quantity is 356.95 pounds. First convert it to metric tons, then convert that result to grams. What is the final value in grams? | 161909.796472 grams | Step 1: Convert pound to metric ton. 1 pound = 0.000454 metric tons, so 356.95 pounds x 0.000454 = 0.16191 metric tons.
Step 2: Convert metric ton to gram. 1 metric ton = 1000000 grams, so 0.16191 metric tons x 1000000 = 161909.796472 grams. | weight | medium |
A weightlifter lifts a barbell weighing 141 stone. How many kilograms is that? | 895.391338 kilograms | Step 1: Identify the given quantity: 141 stones.
Step 2: The conversion factor is 1 stone = 6.350293 kilograms.
Step 3: Multiply: 141 x 6.350293 = 895.391338 kilograms. | weight | hard |
Water boils and the thermometer reads 375 Kelvin. What is that in Celsius? | 101.85 °C | Step 1: Identify the given value: 375 K.
Step 2: Apply the formula C = K - 273.15 to get 101.85 °C. | temperature | hard |
Convert 12.2 kilograms to grams. | 12200 grams | Step 1: 1 kilogram = 1000 grams, and 1 gram = 1 of the same base unit, so 1 kilogram = 1000 grams.
Step 2: 12.2 kilograms x 1000 = 12200 grams. | weight | easy |
A flight takes 15.6 days. Convert the duration to seconds. | 1347840 seconds | Step 1: Identify the given quantity: 15.6 days.
Step 2: The conversion factor is 1 day = 86400 seconds.
Step 3: Multiply: 15.6 x 86400 = 1347840 seconds. | time | hard |
A quantity is 137.74 yards. First convert it to miles, then convert that result to kilometers. What is the final value in kilometers? | 0.125949 kilometers | Step 1: Convert yard to mile. 1 yard = 0.000568 miles, so 137.74 yards x 0.000568 = 0.078261 miles.
Step 2: Convert mile to kilometer. 1 mile = 1.609344 kilometers, so 0.078261 miles x 1.609344 = 0.125949 kilometers. | length | medium |
Convert 198 yards to kilometers. | 0.181051 kilometers | Step 1: 1 yard = 0.9144 meters, and 1 kilometer = 1000 of the same base unit, so 1 yard = 0.000914 kilometers.
Step 2: 198 yards x 0.000914 = 0.181051 kilometers. | length | easy |
A bottle contains 5 quarts of juice. How many cubic meters is that? | 0.004732 cubic meters | Step 1: Identify the given quantity: 5 quarts.
Step 2: The conversion factor is 1 quart = 0.000946 cubic meters.
Step 3: Multiply: 5 x 0.000946 = 0.004732 cubic meters. | volume | hard |
A quantity is 110.44 weeks. First convert it to days, then convert that result to minutes. What is the final value in minutes? | 1113235.2 minutes | Step 1: Convert week to day. 1 week = 7 days, so 110.44 weeks x 7 = 773.08 days.
Step 2: Convert day to minute. 1 day = 1440 minutes, so 773.08 days x 1440 = 1113235.2 minutes. | time | medium |
An employee spends 10.3 seconds on a project. How many weeks is that? | 0.000017 weeks | Step 1: Identify the given quantity: 10.3 seconds.
Step 2: The conversion factor is 1 second = 0.000002 weeks.
Step 3: Multiply: 10.3 x 0.000002 = 0.000017 weeks. | time | hard |
Convert 156 ounces to metric tons. | 0.004423 metric tons | Step 1: 1 ounce = 28.349523 grams, and 1 metric ton = 1000000 of the same base unit, so 1 ounce = 0.000028 metric tons.
Step 2: 156 ounces x 0.000028 = 0.004423 metric tons. | weight | easy |
Convert 230 degrees Kelvin to Celsius. | -43.15 °C | Step 1: Use the formula C = K - 273.15.
Step 2: Substitute the value: 230 K converts to -43.15 °C. | temperature | easy |
A temperature reads 257 degrees Kelvin. First convert it to Celsius, then convert that result to Fahrenheit. What is the final value in Fahrenheit? | 2.93 °F | Step 1: Convert kelvin to celsius: 257 K = -16.15 °C.
Step 2: Convert celsius to fahrenheit: -16.15 °C = 2.93 °F. | temperature | medium |
A runner covers 76 meters during practice. How far is that in yards? | 83.114611 yards | Step 1: Identify the given quantity: 76 meters.
Step 2: The conversion factor is 1 meter = 1.093613 yards.
Step 3: Multiply: 76 x 1.093613 = 83.114611 yards. | length | hard |
A temperature reads 397 degrees Kelvin. First convert it to Celsius, then convert that result to Fahrenheit. What is the final value in Fahrenheit? | 254.93 °F | Step 1: Convert kelvin to celsius: 397 K = 123.85 °C.
Step 2: Convert celsius to fahrenheit: 123.85 °C = 254.93 °F. | temperature | medium |
A scientist records a sample temperature of 344 Kelvin. What is this in Fahrenheit? | 159.53 °F | Step 1: Identify the given value: 344 K.
Step 2: Apply the formula F = (K - 273.15) x 9/5 + 32 to get 159.53 °F. | temperature | hard |
Convert 40 kilometers to millimeters. | 40000000 millimeters | Step 1: 1 kilometer = 1000 meters, and 1 millimeter = 0.001 of the same base unit, so 1 kilometer = 1000000 millimeters.
Step 2: 40 kilometers x 1000000 = 40000000 millimeters. | length | easy |
A quantity is 111.99 millimeters. First convert it to yards, then convert that result to kilometers. What is the final value in kilometers? | 0.000112 kilometers | Step 1: Convert millimeter to yard. 1 millimeter = 0.001094 yards, so 111.99 millimeters x 0.001094 = 0.122474 yards.
Step 2: Convert yard to kilometer. 1 yard = 0.000914 kilometers, so 0.122474 yards x 0.000914 = 0.000112 kilometers. | length | medium |
A water tank holds 18 cubic meters. What is its capacity in quarts? | 19020.38777 quarts | Step 1: Identify the given quantity: 18 cubic meters.
Step 2: The conversion factor is 1 cubic meter = 1056.688209 quarts.
Step 3: Multiply: 18 x 1056.688209 = 19020.38777 quarts. | volume | hard |
A quantity is 36.52 pounds. First convert it to kilograms, then convert that result to metric tons. What is the final value in metric tons? | 0.016565 metric tons | Step 1: Convert pound to kilogram. 1 pound = 0.453592 kilograms, so 36.52 pounds x 0.453592 = 16.565193 kilograms.
Step 2: Convert kilogram to metric ton. 1 kilogram = 0.001 metric tons, so 16.565193 kilograms x 0.001 = 0.016565 metric tons. | weight | medium |
Convert 157 minutes to hours. | 2.616667 hours | Step 1: 1 minute = 60 seconds, and 1 hour = 3600 of the same base unit, so 1 minute = 0.016667 hours.
Step 2: 157 minutes x 0.016667 = 2.616667 hours. | time | easy |
Convert 26 milligrams to kilograms. | 0.000026 kilograms | Step 1: 1 milligram = 0.001 grams, and 1 kilogram = 1000 of the same base unit, so 1 milligram = 0.000001 kilograms.
Step 2: 26 milligrams x 0.000001 = 0.000026 kilograms. | weight | easy |
A scientist records a sample temperature of 264 Kelvin. What is this in Fahrenheit? | 15.53 °F | Step 1: Identify the given value: 264 K.
Step 2: Apply the formula F = (K - 273.15) x 9/5 + 32 to get 15.53 °F. | temperature | hard |
A quantity is 119.37 stone. First convert it to metric tons, then convert that result to milligrams. What is the final value in milligrams? | 758034496.8966 milligrams | Step 1: Convert stone to metric ton. 1 stone = 0.00635 metric tons, so 119.37 stones x 0.00635 = 0.758034 metric tons.
Step 2: Convert metric ton to milligram. 1 metric ton = 1000000000 milligrams, so 0.758034 metric tons x 1000000000 = 758034496.8966 milligrams. | weight | medium |
A bottle contains 22.4 gallons of juice. How many liters is that? | 84.793224 liters | Step 1: Identify the given quantity: 22.4 gallons.
Step 2: The conversion factor is 1 gallon = 3.785412 liters.
Step 3: Multiply: 22.4 x 3.785412 = 84.793224 liters. | volume | hard |
A quantity is 38.34 stone. First convert it to pounds, then convert that result to grams. What is the final value in grams? | 243470.240521 grams | Step 1: Convert stone to pound. 1 stone = 14 pounds, so 38.34 stones x 14 = 536.76 pounds.
Step 2: Convert pound to gram. 1 pound = 453.59237 grams, so 536.76 pounds x 453.59237 = 243470.240521 grams. | weight | medium |
A bottle contains 47.9 quarts of juice. How many fluid ounces is that? | 1532.8 fluid ounces | Step 1: Identify the given quantity: 47.9 quarts.
Step 2: The conversion factor is 1 quart = 32 fluid ounces.
Step 3: Multiply: 47.9 x 32 = 1532.8 fluid ounces. | volume | hard |
A quantity is 86.46 kilograms. First convert it to stone, then convert that result to ounces. What is the final value in ounces? | 3049.78675 ounces | Step 1: Convert kilogram to stone. 1 kilogram = 0.157473 stones, so 86.46 kilograms x 0.157473 = 13.615119 stones.
Step 2: Convert stone to ounce. 1 stone = 224 ounces, so 13.615119 stones x 224 = 3049.78675 ounces. | weight | medium |
Convert 161 degrees Fahrenheit to Kelvin. | 344.82 K | Step 1: Use the formula K = (F - 32) x 5/9 + 273.15.
Step 2: Substitute the value: 161 °F converts to 344.82 K. | temperature | easy |
Convert 179 stone to milligrams. | 1136702479.22 milligrams | Step 1: 1 stone = 6350.29318 grams, and 1 milligram = 0.001 of the same base unit, so 1 stone = 6350293.18 milligrams.
Step 2: 179 stones x 6350293.18 = 1136702479.22 milligrams. | weight | easy |
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