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wmm-06901 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 30 tasks in 18 hours at a constant rate. How many tasks would be completed in 8 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6901. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 13.33 | hard | Goldgolf-exchange | en |
wmm-06902 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 31x + 4 = 314. Topic: averages. Write the answer like a tutor explanation. Problem 6902. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 10 | easy | Goldgolf-exchange | en |
wmm-06903 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 32 and width 7. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6903. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 224, Perimeter = 78 | medium | Goldgolf-exchange | en |
wmm-06904 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 40 kilometers to meters, then add 100 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6904. | Convert kilometers to meters first, then add the remaining meters. | 40100 | hard | Goldgolf-exchange | en |
wmm-06905 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 34 red marbles and 13 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6905. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 13/47 | easy | Goldgolf-exchange | en |
wmm-06906 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 51 survey responses, 16 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6906. | Divide the positive count by the total count, then multiply by 100. | 31.37% | medium | Goldgolf-exchange | en |
wmm-06907 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 36, 19, and 9. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6907. | Add the three values together and divide by 3. | 21.33 | hard | Goldgolf-exchange | en |
wmm-06908 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 37 and increases by 14. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6908. | The fifth term equals the first term plus four common differences. | 93 | easy | Goldgolf-exchange | en |
wmm-06909 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 38 kilometers per hour for 8 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6909. | Distance equals speed multiplied by time. | 304 km | medium | Goldgolf-exchange | en |
wmm-06910 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 39 plain cards and 11 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6910. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 11/50 | hard | Goldgolf-exchange | en |
wmm-06911 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 40 liters of water and 14 liters of juice and is poured equally into 3 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6911. | Add the total liquid volume, then divide by the number of containers. | 18.0 | easy | Goldgolf-exchange | en |
wmm-06912 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 41 shelves with 17 books each, then receives 8 more boxes with 17 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6912. | Compute the original total, compute the new incoming books, then add the two quantities. | 833 | medium | Goldgolf-exchange | en |
wmm-06913 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 42 tasks in 20 hours at a constant rate. How many tasks would be completed in 16 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6913. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 33.60 | hard | Goldgolf-exchange | en |
wmm-06914 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 43x + 6 = 221. Topic: averages. Write the answer like a tutor explanation. Problem 6914. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 5 | easy | Goldgolf-exchange | en |
wmm-06915 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 44 and width 9. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6915. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 396, Perimeter = 106 | medium | Goldgolf-exchange | en |
wmm-06916 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 47 kilometers to meters, then add 120 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6916. | Convert kilometers to meters first, then add the remaining meters. | 47120 | hard | Goldgolf-exchange | en |
wmm-06917 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 46 red marbles and 15 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6917. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 15/61 | easy | Goldgolf-exchange | en |
wmm-06918 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 65 survey responses, 18 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6918. | Divide the positive count by the total count, then multiply by 100. | 27.69% | medium | Goldgolf-exchange | en |
wmm-06919 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 11, 4, and 4. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6919. | Add the three values together and divide by 3. | 6.33 | hard | Goldgolf-exchange | en |
wmm-06920 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 12 and increases by 9. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6920. | The fifth term equals the first term plus four common differences. | 48 | easy | Goldgolf-exchange | en |
wmm-06921 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 13 kilometers per hour for 10 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6921. | Distance equals speed multiplied by time. | 130 km | medium | Goldgolf-exchange | en |
wmm-06922 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 14 plain cards and 13 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6922. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 13/27 | hard | Goldgolf-exchange | en |
wmm-06923 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 15 liters of water and 16 liters of juice and is poured equally into 11 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6923. | Add the total liquid volume, then divide by the number of containers. | 2.82 | easy | Goldgolf-exchange | en |
wmm-06924 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 16 shelves with 19 books each, then receives 3 more boxes with 19 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6924. | Compute the original total, compute the new incoming books, then add the two quantities. | 361 | medium | Goldgolf-exchange | en |
wmm-06925 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 17 tasks in 5 hours at a constant rate. How many tasks would be completed in 11 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6925. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 37.40 | hard | Goldgolf-exchange | en |
wmm-06926 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 18x + 8 = 242. Topic: averages. Write the answer like a tutor explanation. Problem 6926. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 13 | easy | Goldgolf-exchange | en |
wmm-06927 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 19 and width 11. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6927. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 209, Perimeter = 60 | medium | Goldgolf-exchange | en |
wmm-06928 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 30 kilometers to meters, then add 140 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6928. | Convert kilometers to meters first, then add the remaining meters. | 30140 | hard | Goldgolf-exchange | en |
wmm-06929 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 21 red marbles and 17 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6929. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 17/38 | easy | Goldgolf-exchange | en |
wmm-06930 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 42 survey responses, 20 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6930. | Divide the positive count by the total count, then multiply by 100. | 47.62% | medium | Goldgolf-exchange | en |
wmm-06931 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 23, 6, and 12. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6931. | Add the three values together and divide by 3. | 13.67 | hard | Goldgolf-exchange | en |
wmm-06932 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 24 and increases by 4. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6932. | The fifth term equals the first term plus four common differences. | 40 | easy | Goldgolf-exchange | en |
wmm-06933 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 25 kilometers per hour for 12 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6933. | Distance equals speed multiplied by time. | 300 km | medium | Goldgolf-exchange | en |
wmm-06934 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 26 plain cards and 15 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6934. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 15/41 | hard | Goldgolf-exchange | en |
wmm-06935 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 27 liters of water and 18 liters of juice and is poured equally into 6 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6935. | Add the total liquid volume, then divide by the number of containers. | 7.5 | easy | Goldgolf-exchange | en |
wmm-06936 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 28 shelves with 4 books each, then receives 11 more boxes with 4 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6936. | Compute the original total, compute the new incoming books, then add the two quantities. | 156 | medium | Goldgolf-exchange | en |
wmm-06937 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 29 tasks in 7 hours at a constant rate. How many tasks would be completed in 6 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6937. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 24.86 | hard | Goldgolf-exchange | en |
wmm-06938 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 30x + 10 = 250. Topic: averages. Write the answer like a tutor explanation. Problem 6938. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 8 | easy | Goldgolf-exchange | en |
wmm-06939 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 31 and width 13. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6939. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 403, Perimeter = 88 | medium | Goldgolf-exchange | en |
wmm-06940 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 37 kilometers to meters, then add 160 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6940. | Convert kilometers to meters first, then add the remaining meters. | 37160 | hard | Goldgolf-exchange | en |
wmm-06941 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 33 red marbles and 19 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6941. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 19/52 | easy | Goldgolf-exchange | en |
wmm-06942 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 39 survey responses, 5 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6942. | Divide the positive count by the total count, then multiply by 100. | 12.82% | medium | Goldgolf-exchange | en |
wmm-06943 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 35, 8, and 7. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6943. | Add the three values together and divide by 3. | 16.67 | hard | Goldgolf-exchange | en |
wmm-06944 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 36 and increases by 12. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6944. | The fifth term equals the first term plus four common differences. | 84 | easy | Goldgolf-exchange | en |
wmm-06945 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 37 kilometers per hour for 14 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6945. | Distance equals speed multiplied by time. | 518 km | medium | Goldgolf-exchange | en |
wmm-06946 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 38 plain cards and 17 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6946. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 17/55 | hard | Goldgolf-exchange | en |
wmm-06947 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 39 liters of water and 20 liters of juice and is poured equally into 14 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6947. | Add the total liquid volume, then divide by the number of containers. | 4.21 | easy | Goldgolf-exchange | en |
wmm-06948 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 40 shelves with 6 books each, then receives 6 more boxes with 6 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6948. | Compute the original total, compute the new incoming books, then add the two quantities. | 276 | medium | Goldgolf-exchange | en |
wmm-06949 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 41 tasks in 9 hours at a constant rate. How many tasks would be completed in 14 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6949. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 63.78 | hard | Goldgolf-exchange | en |
wmm-06950 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 42x + 12 = 138. Topic: averages. Write the answer like a tutor explanation. Problem 6950. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 3 | easy | Goldgolf-exchange | en |
wmm-06951 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 43 and width 15. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6951. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 645, Perimeter = 116 | medium | Goldgolf-exchange | en |
wmm-06952 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 57 kilometers to meters, then add 180 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6952. | Convert kilometers to meters first, then add the remaining meters. | 57180 | hard | Goldgolf-exchange | en |
wmm-06953 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 45 red marbles and 4 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6953. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 4/49 | easy | Goldgolf-exchange | en |
wmm-06954 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 53 survey responses, 7 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6954. | Divide the positive count by the total count, then multiply by 100. | 13.21% | medium | Goldgolf-exchange | en |
wmm-06955 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 47, 10, and 2. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6955. | Add the three values together and divide by 3. | 19.67 | hard | Goldgolf-exchange | en |
wmm-06956 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 11 and increases by 7. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6956. | The fifth term equals the first term plus four common differences. | 39 | easy | Goldgolf-exchange | en |
wmm-06957 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 12 kilometers per hour for 16 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6957. | Distance equals speed multiplied by time. | 192 km | medium | Goldgolf-exchange | en |
wmm-06958 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 13 plain cards and 19 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6958. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 19/32 | hard | Goldgolf-exchange | en |
wmm-06959 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 14 liters of water and 5 liters of juice and is poured equally into 9 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6959. | Add the total liquid volume, then divide by the number of containers. | 2.11 | easy | Goldgolf-exchange | en |
wmm-06960 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 15 shelves with 8 books each, then receives 14 more boxes with 8 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6960. | Compute the original total, compute the new incoming books, then add the two quantities. | 232 | medium | Goldgolf-exchange | en |
wmm-06961 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 16 tasks in 11 hours at a constant rate. How many tasks would be completed in 9 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6961. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 13.09 | hard | Goldgolf-exchange | en |
wmm-06962 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 17x + 14 = 201. Topic: averages. Write the answer like a tutor explanation. Problem 6962. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 11 | easy | Goldgolf-exchange | en |
wmm-06963 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 18 and width 17. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6963. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 306, Perimeter = 70 | medium | Goldgolf-exchange | en |
wmm-06964 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 27 kilometers to meters, then add 200 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6964. | Convert kilometers to meters first, then add the remaining meters. | 27200 | hard | Goldgolf-exchange | en |
wmm-06965 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 20 red marbles and 6 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6965. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 3/13 | easy | Goldgolf-exchange | en |
wmm-06966 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 30 survey responses, 9 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6966. | Divide the positive count by the total count, then multiply by 100. | 30.0% | medium | Goldgolf-exchange | en |
wmm-06967 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 22, 12, and 10. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6967. | Add the three values together and divide by 3. | 14.67 | hard | Goldgolf-exchange | en |
wmm-06968 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 23 and increases by 2. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6968. | The fifth term equals the first term plus four common differences. | 31 | easy | Goldgolf-exchange | en |
wmm-06969 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 24 kilometers per hour for 18 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6969. | Distance equals speed multiplied by time. | 432 km | medium | Goldgolf-exchange | en |
wmm-06970 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 25 plain cards and 4 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6970. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 4/29 | hard | Goldgolf-exchange | en |
wmm-06971 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 26 liters of water and 7 liters of juice and is poured equally into 4 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6971. | Add the total liquid volume, then divide by the number of containers. | 8.25 | easy | Goldgolf-exchange | en |
wmm-06972 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 27 shelves with 10 books each, then receives 9 more boxes with 10 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6972. | Compute the original total, compute the new incoming books, then add the two quantities. | 360 | medium | Goldgolf-exchange | en |
wmm-06973 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 28 tasks in 13 hours at a constant rate. How many tasks would be completed in 17 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6973. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 36.62 | hard | Goldgolf-exchange | en |
wmm-06974 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 29x + 16 = 190. Topic: averages. Write the answer like a tutor explanation. Problem 6974. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 6 | easy | Goldgolf-exchange | en |
wmm-06975 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 30 and width 19. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6975. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 570, Perimeter = 98 | medium | Goldgolf-exchange | en |
wmm-06976 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 34 kilometers to meters, then add 50 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6976. | Convert kilometers to meters first, then add the remaining meters. | 34050 | hard | Goldgolf-exchange | en |
wmm-06977 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 32 red marbles and 8 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6977. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 1/5 | easy | Goldgolf-exchange | en |
wmm-06978 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 44 survey responses, 11 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6978. | Divide the positive count by the total count, then multiply by 100. | 25.0% | medium | Goldgolf-exchange | en |
wmm-06979 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 34, 14, and 5. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6979. | Add the three values together and divide by 3. | 17.67 | hard | Goldgolf-exchange | en |
wmm-06980 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 35 and increases by 10. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6980. | The fifth term equals the first term plus four common differences. | 75 | easy | Goldgolf-exchange | en |
wmm-06981 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 36 kilometers per hour for 20 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6981. | Distance equals speed multiplied by time. | 720 km | medium | Goldgolf-exchange | en |
wmm-06982 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 37 plain cards and 6 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6982. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 6/43 | hard | Goldgolf-exchange | en |
wmm-06983 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 38 liters of water and 9 liters of juice and is poured equally into 12 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6983. | Add the total liquid volume, then divide by the number of containers. | 3.92 | easy | Goldgolf-exchange | en |
wmm-06984 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 39 shelves with 12 books each, then receives 4 more boxes with 12 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6984. | Compute the original total, compute the new incoming books, then add the two quantities. | 516 | medium | Goldgolf-exchange | en |
wmm-06985 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 40 tasks in 15 hours at a constant rate. How many tasks would be completed in 12 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6985. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 32.00 | hard | Goldgolf-exchange | en |
wmm-06986 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 41x + 18 = 592. Topic: averages. Write the answer like a tutor explanation. Problem 6986. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 14 | easy | Goldgolf-exchange | en |
wmm-06987 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 42 and width 4. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6987. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 168, Perimeter = 92 | medium | Goldgolf-exchange | en |
wmm-06988 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 54 kilometers to meters, then add 70 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 6988. | Convert kilometers to meters first, then add the remaining meters. | 54070 | hard | Goldgolf-exchange | en |
wmm-06989 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A bag contains 44 red marbles and 10 blue marbles. What fraction of the marbles are blue? Topic: percentages. Use a compact explanation with one conclusion. Problem 6989. | Add red and blue marbles to get the total, place blue over total, then reduce the fraction. | 5/27 | easy | Goldgolf-exchange | en |
wmm-06990 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. Out of 58 survey responses, 13 were positive. What percent of the responses were positive? Topic: probability. Write the answer like a tutor explanation. Problem 6990. | Divide the positive count by the total count, then multiply by 100. | 22.41% | medium | Goldgolf-exchange | en |
wmm-06991 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Find the average of 46, 16, and 13. Topic: mixtures. Use a compact explanation with one conclusion. Problem 6991. | Add the three values together and divide by 3. | 25.0 | hard | Goldgolf-exchange | en |
wmm-06992 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. An arithmetic pattern starts at 47 and increases by 5. What is the fifth term? Topic: area and perimeter. Write the answer like a tutor explanation. Problem 6992. | The fifth term equals the first term plus four common differences. | 67 | easy | Goldgolf-exchange | en |
wmm-06993 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A vehicle travels at 11 kilometers per hour for 5 hours. How far does it travel? Topic: unit conversion. Use a compact explanation with one conclusion. Problem 6993. | Distance equals speed multiplied by time. | 55 km | medium | Goldgolf-exchange | en |
wmm-06994 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A box contains 12 plain cards and 8 marked cards. If one card is chosen at random, what is the probability of getting a marked card? Topic: ratios. Write the answer like a tutor explanation. Problem 6994. | Probability is favorable outcomes divided by total outcomes, reduced when possible. | 2/5 | hard | Goldgolf-exchange | en |
wmm-06995 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. A mixture uses 13 liters of water and 11 liters of juice and is poured equally into 7 containers. How many liters go into each container? Topic: combinatorics. Use a compact explanation with one conclusion. Problem 6995. | Add the total liquid volume, then divide by the number of containers. | 3.43 | easy | Goldgolf-exchange | en |
wmm-06996 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A library has 14 shelves with 14 books each, then receives 12 more boxes with 14 books each. How many books are there in total now? Topic: fractions. Write the answer like a tutor explanation. Problem 6996. | Compute the original total, compute the new incoming books, then add the two quantities. | 364 | medium | Goldgolf-exchange | en |
wmm-06997 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. A worker completes 15 tasks in 17 hours at a constant rate. How many tasks would be completed in 7 hours? Topic: speed and distance. Use a compact explanation with one conclusion. Problem 6997. | Find the constant rate by dividing tasks by hours, then multiply that rate by the new time value. | 6.18 | hard | Goldgolf-exchange | en |
wmm-06998 | data-shard-b | math_reasoning | Think through the constraint that matters most before deciding. Solve for x in the equation 16x + 20 = 164. Topic: averages. Write the answer like a tutor explanation. Problem 6998. | Subtract the constant term from both sides, isolate the x-term, and divide by the coefficient. | 9 | easy | Goldgolf-exchange | en |
wmm-06999 | data-shard-b | math_reasoning | Separate the facts from assumptions, then answer. A rectangle has length 17 and width 6. Find both its area and perimeter. Topic: linear equations. Use a compact explanation with one conclusion. Problem 6999. | Area is length multiplied by width, and perimeter is twice the sum of length and width. | Area = 102, Perimeter = 46 | medium | Goldgolf-exchange | en |
wmm-07000 | data-shard-b | math_reasoning | Reason through the scenario carefully before answering. Convert 24 kilometers to meters, then add 90 more meters. Topic: number patterns. Write the answer like a tutor explanation. Problem 7000. | Convert kilometers to meters first, then add the remaining meters. | 24090 | hard | Goldgolf-exchange | en |
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