candidate_id stringlengths 36 63 | condition stringclasses 2
values | family stringclasses 10
values | misconception_id stringclasses 10
values | objective_correct_answer stringlengths 2 20 | pair_id stringlengths 17 36 | proposed_reference_answer stringlengths 1 20 | question stringlengths 76 261 | question_sha256 stringlengths 64 64 | reference_correctness stringclasses 2
values | run_id stringclasses 1
value | schema_version stringclasses 1
value | selector_observation_status stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
recurrence_indexing-0007--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 605 | recurrence_indexing-0007 | 605 | A sequence is defined by a_0 = 0 and a_(k+1) = 3a_k + 5 for k >= 0. What is a_5? | c8c40102ffe8ed1a4e8609ebd567b74c6a299178fd8ea1b3113cdf5c1edb49b7 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0007--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 605 | recurrence_indexing-0007 | 200 | A sequence is defined by a_0 = 0 and a_(k+1) = 3a_k + 5 for k >= 0. What is a_5? | c8c40102ffe8ed1a4e8609ebd567b74c6a299178fd8ea1b3113cdf5c1edb49b7 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0007--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 560 | repeated_object_permutations-0007 | 560 | How many distinct strings can be formed by rearranging all letters of FFFEEEHH? | 72d399e1e28d1f406e5b99dff709cc71b821e949844d390dd3dc79b44217761a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0007--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 560 | repeated_object_permutations-0007 | 40320 | How many distinct strings can be formed by rearranging all letters of FFFEEEHH? | 72d399e1e28d1f406e5b99dff709cc71b821e949844d390dd3dc79b44217761a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0011--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 2457/2 | successive_percent_change-0011 | 2457/2 | A quantity starts at 1500. It increases by 30%, then decreases by 30%, and finally decreases by 10%. What is the final value? Give an exact value. | 22d6bddd3fa814e8a9c0aee6c03e37739e00dd65e4ba0ff200693322c3af1836 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0011--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 2457/2 | successive_percent_change-0011 | 1350 | A quantity starts at 1500. It increases by 30%, then decreases by 30%, and finally decreases by 10%. What is the final value? Give an exact value. | 22d6bddd3fa814e8a9c0aee6c03e37739e00dd65e4ba0ff200693322c3af1836 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0016--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 105 | repeated_object_permutations-0016 | 105 | How many distinct strings can be formed by rearranging all letters of GGGGDDC? | 31d9371ab6f6e96c3f24eb68839b0dc82d6942436f014017ead7de6c7b0a74c9 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0016--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 105 | repeated_object_permutations-0016 | 5040 | How many distinct strings can be formed by rearranging all letters of GGGGDDC? | 31d9371ab6f6e96c3f24eb68839b0dc82d6942436f014017ead7de6c7b0a74c9 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0002--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 9/19 | without_replacement_probability-0002 | 9/19 | An urn contains 15 red balls and 6 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | cb3b2b6e96d02372a7c80288917e6c58e385fa236cfd4ca1297e8b2597924669 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0002--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 9/19 | without_replacement_probability-0002 | 150/343 | An urn contains 15 red balls and 6 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | cb3b2b6e96d02372a7c80288917e6c58e385fa236cfd4ca1297e8b2597924669 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0009--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 31416/25 | successive_percent_change-0009 | 31416/25 | A quantity starts at 1700. It increases by 20%, then decreases by 12%, and finally decreases by 30%. What is the final value? Give an exact value. | d5e8b061b478afe4a2df075f0abfdb29fff36f739ea77f93a8649127d9dd56ac | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0009--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 31416/25 | successive_percent_change-0009 | 1326 | A quantity starts at 1700. It increases by 20%, then decreases by 12%, and finally decreases by 30%. What is the final value? Give an exact value. | d5e8b061b478afe4a2df075f0abfdb29fff36f739ea77f93a8649127d9dd56ac | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0017--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 3/19 | bayes_positive_test-0017 | 3/19 | In a population, 4% of people have a condition. A test has 90% sensitivity and 80% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 3f4f43eae6c547be64c75e6473f58f93820bc4516edca0a7258370368bfea59e | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0017--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 3/19 | bayes_positive_test-0017 | 9/10 | In a population, 4% of people have a condition. A test has 90% sensitivity and 80% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 3f4f43eae6c547be64c75e6473f58f93820bc4516edca0a7258370368bfea59e | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0016--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 1/4 | bayes_positive_test-0016 | 1/4 | In a population, 5% of people have a condition. A test has 95% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | d48ab1b04dc7fcae0a1b0d04324db15aae5960b9d9ce509eceefbad4dfd1f0e6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0016--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 1/4 | bayes_positive_test-0016 | 19/20 | In a population, 5% of people have a condition. A test has 95% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | d48ab1b04dc7fcae0a1b0d04324db15aae5960b9d9ce509eceefbad4dfd1f0e6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0019--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 2717/2 | area_scaling-0019 | 2717/2 | A rectangle initially has length 65 and width 20. Its length is increased by 10% while its width is decreased by 5%. What is the new area? Give an exact value. | 5fa5b2a1209c9e5aa20a3e8f2d57cab057b6228a235e305c45eae5ad67ab5214 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0019--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 2717/2 | area_scaling-0019 | 1365 | A rectangle initially has length 65 and width 20. Its length is increased by 10% while its width is decreased by 5%. What is the new area? Give an exact value. | 5fa5b2a1209c9e5aa20a3e8f2d57cab057b6228a235e305c45eae5ad67ab5214 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0001--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 210 | repeated_object_permutations-0001 | 210 | How many distinct strings can be formed by rearranging all letters of AAAFFBB? | 76021d9c5c98a8068d9c5d2aea219bfea93ac5058728a3a0fc7bba9d9734d152 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0001--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 210 | repeated_object_permutations-0001 | 5040 | How many distinct strings can be formed by rearranging all letters of AAAFFBB? | 76021d9c5c98a8068d9c5d2aea219bfea93ac5058728a3a0fc7bba9d9734d152 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0009--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 40/143 | without_replacement_probability-0009 | 40/143 | An urn contains 5 red balls and 8 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | add04d058565adf640a9dcfff297703a340740655997c15a65ac6487629c10ef | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0009--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 40/143 | without_replacement_probability-0009 | 600/2197 | An urn contains 5 red balls and 8 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | add04d058565adf640a9dcfff297703a340740655997c15a65ac6487629c10ef | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0007--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 161/10 | combined_work_rate-0007 | 161/10 | Worker A can finish a job alone in 23 hours and worker B can finish it alone in 20 hours. They work together for 6 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 409baccb3c88e74e8c99eeb2c1b3d5e71d91f4910b906bc6bddf25d5d5456c4b | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0007--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 161/10 | combined_work_rate-0007 | 340/23 | Worker A can finish a job alone in 23 hours and worker B can finish it alone in 20 hours. They work together for 6 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 409baccb3c88e74e8c99eeb2c1b3d5e71d91f4910b906bc6bddf25d5d5456c4b | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0021--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 12/35 | bayes_positive_test-0021 | 12/35 | In a population, 8% of people have a condition. A test has 90% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 244079c43563edbfc924c744f7e75c27e1c786ee2aa81ebc60dce74661abd9d4 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0021--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 12/35 | bayes_positive_test-0021 | 9/10 | In a population, 8% of people have a condition. A test has 90% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 244079c43563edbfc924c744f7e75c27e1c786ee2aa81ebc60dce74661abd9d4 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0001--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 2087/34 | weighted_mean-0001 | 2087/34 | Three classes contain 24, 25, and 19 students. Their mean test scores are 58, 52, and 78, respectively. What is the mean score across all students in the three classes? Give an exact value. | a1ac2a05ededd1310e279d69a1c2e0c6c9289275102fb53afff7d0aad853f40a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0001--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 2087/34 | weighted_mean-0001 | 188/3 | Three classes contain 24, 25, and 19 students. Their mean test scores are 58, 52, and 78, respectively. What is the mean score across all students in the three classes? Give an exact value. | a1ac2a05ededd1310e279d69a1c2e0c6c9289275102fb53afff7d0aad853f40a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0018--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 38/107 | bayes_positive_test-0018 | 38/107 | In a population, 8% of people have a condition. A test has 95% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 8e265a1942d14a165627a7545814750d4d80311a4a680f5e57aaeca41655b7a2 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0018--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 38/107 | bayes_positive_test-0018 | 19/20 | In a population, 8% of people have a condition. A test has 95% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 8e265a1942d14a165627a7545814750d4d80311a4a680f5e57aaeca41655b7a2 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0014--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 5292/5 | successive_percent_change-0014 | 5292/5 | A quantity starts at 1800. It increases by 12%, then decreases by 30%, and finally decreases by 25%. What is the final value? Give an exact value. | 82e21dfbaa3519e93de85e903728fbcba70b1fd0ad6a3142d1010c3966414d75 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0014--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 5292/5 | successive_percent_change-0014 | 1026 | A quantity starts at 1800. It increases by 12%, then decreases by 30%, and finally decreases by 25%. What is the final value? Give an exact value. | 82e21dfbaa3519e93de85e903728fbcba70b1fd0ad6a3142d1010c3966414d75 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0001--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 42648 | recurrence_indexing-0001 | 42648 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k - 3 for k >= 0. What is a_8? | 8362885a92689cbb2335161abb77f30ddd855c761f9272b01e02adae6ee04d03 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0001--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 42648 | recurrence_indexing-0001 | 14217 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k - 3 for k >= 0. What is a_8? | 8362885a92689cbb2335161abb77f30ddd855c761f9272b01e02adae6ee04d03 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0004--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 91/380 | without_replacement_probability-0004 | 91/380 | An urn contains 7 red balls and 13 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 892565e68d799d42fd363187367de62d2c3cbf6052e2a5063ffc1e82e8515e31 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0004--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 91/380 | without_replacement_probability-0004 | 1911/8000 | An urn contains 7 red balls and 13 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 892565e68d799d42fd363187367de62d2c3cbf6052e2a5063ffc1e82e8515e31 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0017--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 66/161 | without_replacement_probability-0017 | 66/161 | An urn contains 12 red balls and 11 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 6e1c52549d1cad535266baae879d0ecbb8db68a3b036523e27214291a63e670e | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0017--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 66/161 | without_replacement_probability-0017 | 4752/12167 | An urn contains 12 red balls and 11 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 6e1c52549d1cad535266baae879d0ecbb8db68a3b036523e27214291a63e670e | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0018--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 3671/49 | weighted_mean-0018 | 3671/49 | Three classes contain 12, 17, and 20 students. Their mean test scores are 59, 79, and 81, respectively. What is the mean score across all students in the three classes? Give an exact value. | 96aa932df09090df717a29f3ff2fe81359675d42d2632505b60f9d224ba3a337 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0018--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 3671/49 | weighted_mean-0018 | 73 | Three classes contain 12, 17, and 20 students. Their mean test scores are 59, 79, and 81, respectively. What is the mean score across all students in the three classes? Give an exact value. | 96aa932df09090df717a29f3ff2fe81359675d42d2632505b60f9d224ba3a337 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0018--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 720/19 | equal_distance_average_speed-0018 | 720/19 | A vehicle travels 79 km from A to B at 24 km/h and returns the same 79 km at 90 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 9b8957180a8b1a7d95237512e837a4c979ed46c56cf917bee7092426bdfa5f3d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0018--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 720/19 | equal_distance_average_speed-0018 | 57 | A vehicle travels 79 km from A to B at 24 km/h and returns the same 79 km at 90 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 9b8957180a8b1a7d95237512e837a4c979ed46c56cf917bee7092426bdfa5f3d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0011--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 45/142 | bayes_positive_test-0011 | 45/142 | In a population, 3% of people have a condition. A test has 75% sensitivity and 95% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 9030c56904071fc2dc7080fb5047f5fe0d6e3a45cbf112447c5c389247db3c35 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0011--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 45/142 | bayes_positive_test-0011 | 3/4 | In a population, 3% of people have a condition. A test has 75% sensitivity and 95% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 9030c56904071fc2dc7080fb5047f5fe0d6e3a45cbf112447c5c389247db3c35 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0002--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 1125 | area_scaling-0002 | 1125 | A rectangle initially has length 40 and width 30. Its length is increased by 25% while its width is decreased by 25%. What is the new area? Give an exact value. | d03af6b2ee1a4034c1f5047e511a4f17a80a0015a014ecea5471d2122fad6f8a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0002--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 1125 | area_scaling-0002 | 1200 | A rectangle initially has length 40 and width 30. Its length is increased by 25% while its width is decreased by 25%. What is the new area? Give an exact value. | d03af6b2ee1a4034c1f5047e511a4f17a80a0015a014ecea5471d2122fad6f8a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0019--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 3276/47 | equal_distance_average_speed-0019 | 3276/47 | A vehicle travels 149 km from A to B at 78 km/h and returns the same 149 km at 63 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | df32898e6c7311345af900b88d643cc2f3dac5afba69c5889d888a1d60c0c7f8 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0019--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 3276/47 | equal_distance_average_speed-0019 | 141/2 | A vehicle travels 149 km from A to B at 78 km/h and returns the same 149 km at 63 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | df32898e6c7311345af900b88d643cc2f3dac5afba69c5889d888a1d60c0c7f8 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0016--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 41216/25 | successive_percent_change-0016 | 41216/25 | A quantity starts at 1600. It increases by 15%, then decreases by 20%, and finally increases by 12%. What is the final value? Give an exact value. | 8fc2ace4581c9532fea6574138d441e4d94cc93efcec6b7578f9f59b8ccedf73 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0016--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 41216/25 | successive_percent_change-0016 | 1712 | A quantity starts at 1600. It increases by 15%, then decreases by 20%, and finally increases by 12%. What is the final value? Give an exact value. | 8fc2ace4581c9532fea6574138d441e4d94cc93efcec6b7578f9f59b8ccedf73 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0019--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 318 | recurrence_indexing-0019 | 318 | A sequence is defined by a_0 = 3 and a_(k+1) = 2a_k + 2 for k >= 0. What is a_6? | b097b47f6ccbcdc24e7781f8369be0e799d1f28a9b907134640e73be6d47c8f6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0019--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 318 | recurrence_indexing-0019 | 158 | A sequence is defined by a_0 = 3 and a_(k+1) = 2a_k + 2 for k >= 0. What is a_6? | b097b47f6ccbcdc24e7781f8369be0e799d1f28a9b907134640e73be6d47c8f6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0003--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | -7654 | recurrence_indexing-0003 | -7654 | A sequence is defined by a_0 = -3 and a_(k+1) = 3a_k - 1 for k >= 0. What is a_7? | 2a68424a9daeb23df5dca2746c6b1553efb3db64cff51a47142341b6597f46be | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0003--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | -7654 | recurrence_indexing-0003 | -2551 | A sequence is defined by a_0 = -3 and a_(k+1) = 3a_k - 1 for k >= 0. What is a_7? | 2a68424a9daeb23df5dca2746c6b1553efb3db64cff51a47142341b6597f46be | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0007--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 2625 | area_scaling-0007 | 2625 | A rectangle initially has length 70 and width 40. Its length is increased by 25% while its width is decreased by 25%. What is the new area? Give an exact value. | e1d81a4714576897bd67128113c5c2196326355c7b9934a00335a6c020ee6b1d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0007--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 2625 | area_scaling-0007 | 2800 | A rectangle initially has length 70 and width 40. Its length is increased by 25% while its width is decreased by 25%. What is the new area? Give an exact value. | e1d81a4714576897bd67128113c5c2196326355c7b9934a00335a6c020ee6b1d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0006--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 17/39 | bayes_positive_test-0006 | 17/39 | In a population, 12% of people have a condition. A test has 85% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 081b21566a9034272e6ffabb6c379345bf64c4225352be70dcd2a3a8b7cfc5c3 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0006--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 17/39 | bayes_positive_test-0006 | 17/20 | In a population, 12% of people have a condition. A test has 85% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 081b21566a9034272e6ffabb6c379345bf64c4225352be70dcd2a3a8b7cfc5c3 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0004--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 117/19 | combined_work_rate-0004 | 117/19 | Worker A can finish a job alone in 9 hours and worker B can finish it alone in 19 hours. They work together for 6 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | f6516eab83c70f829661e776efb1c7a71e86b0db5830fad35ed07ea331967db6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0004--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 117/19 | combined_work_rate-0004 | 19/3 | Worker A can finish a job alone in 9 hours and worker B can finish it alone in 19 hours. They work together for 6 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | f6516eab83c70f829661e776efb1c7a71e86b0db5830fad35ed07ea331967db6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0006--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 124 | recurrence_indexing-0006 | 124 | A sequence is defined by a_0 = -2 and a_(k+1) = 2a_k + 4 for k >= 0. What is a_6? | 4ee30c6ea9a3546e2cb7b41f9b403299ae05ba58e7d088c0adcb7f5e3cd60b9c | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0006--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 124 | recurrence_indexing-0006 | 60 | A sequence is defined by a_0 = -2 and a_(k+1) = 2a_k + 4 for k >= 0. What is a_6? | 4ee30c6ea9a3546e2cb7b41f9b403299ae05ba58e7d088c0adcb7f5e3cd60b9c | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0011--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 210 | repeated_object_permutations-0011 | 210 | How many distinct strings can be formed by rearranging all letters of BBCCCEE? | 0feeb4d52f7772105a46814dc1a0dfd00e43b8c6b023c651dee1b6b1702477e5 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0011--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 210 | repeated_object_permutations-0011 | 5040 | How many distinct strings can be formed by rearranging all letters of BBCCCEE? | 0feeb4d52f7772105a46814dc1a0dfd00e43b8c6b023c651dee1b6b1702477e5 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0004--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 52487 | recurrence_indexing-0004 | 52487 | A sequence is defined by a_0 = 7 and a_(k+1) = 3a_k + 2 for k >= 0. What is a_8? | 2a4059b4b81d48d0913fe4d32c95f3939ee8335f45fd7e2e1589ea3ebd829bd4 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0004--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 52487 | recurrence_indexing-0004 | 17495 | A sequence is defined by a_0 = 7 and a_(k+1) = 3a_k + 2 for k >= 0. What is a_8? | 2a4059b4b81d48d0913fe4d32c95f3939ee8335f45fd7e2e1589ea3ebd829bd4 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0012--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | -9840 | recurrence_indexing-0012 | -9840 | A sequence is defined by a_0 = -3 and a_(k+1) = 3a_k - 3 for k >= 0. What is a_7? | 332c51dd0053de99f86dbae1dc636d692ca5ea654c8ca2e726a924db30ec4680 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0012--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | -9840 | recurrence_indexing-0012 | -3279 | A sequence is defined by a_0 = -3 and a_(k+1) = 3a_k - 3 for k >= 0. What is a_7? | 332c51dd0053de99f86dbae1dc636d692ca5ea654c8ca2e726a924db30ec4680 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0002--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 9/28 | bayes_positive_test-0002 | 9/28 | In a population, 5% of people have a condition. A test has 90% sensitivity and 90% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 65668125929e702544d68ad1329efa1a5a2a31d542880374669c9dbe9b9fc313 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0002--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 9/28 | bayes_positive_test-0002 | 9/10 | In a population, 5% of people have a condition. A test has 90% sensitivity and 90% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 65668125929e702544d68ad1329efa1a5a2a31d542880374669c9dbe9b9fc313 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0004--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 560 | repeated_object_permutations-0004 | 560 | How many distinct strings can be formed by rearranging all letters of HHHGGGFF? | 1c9855b7e389972732c90e129ae54520e48fbd10a2586c2febc1db4644382f52 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0004--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 560 | repeated_object_permutations-0004 | 40320 | How many distinct strings can be formed by rearranging all letters of HHHGGGFF? | 1c9855b7e389972732c90e129ae54520e48fbd10a2586c2febc1db4644382f52 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0021--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 5000 | area_scaling-0021 | 5000 | A rectangle initially has length 100 and width 50. Its length is increased by 25% while its width is decreased by 20%. What is the new area? Give an exact value. | 7f2d798574aea7c3ca7a49f6deed74bc1efbd17d9227e6bfd38cda796d4a359d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0021--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 5000 | area_scaling-0021 | 5250 | A rectangle initially has length 100 and width 50. Its length is increased by 25% while its width is decreased by 20%. What is the new area? Give an exact value. | 7f2d798574aea7c3ca7a49f6deed74bc1efbd17d9227e6bfd38cda796d4a359d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0018--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 1402 | recurrence_indexing-0018 | 1402 | A sequence is defined by a_0 = 5 and a_(k+1) = 2a_k + 6 for k >= 0. What is a_7? | c7bf9fe7ef048eb9b6aea11e3d5700874484097d0fc64aa85ea7a1ab8b833303 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0018--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 1402 | recurrence_indexing-0018 | 698 | A sequence is defined by a_0 = 5 and a_(k+1) = 2a_k + 6 for k >= 0. What is a_7? | c7bf9fe7ef048eb9b6aea11e3d5700874484097d0fc64aa85ea7a1ab8b833303 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0000--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 117/11 | combined_work_rate-0000 | 117/11 | Worker A can finish a job alone in 18 hours and worker B can finish it alone in 22 hours. They work together for 9 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 78cad8c2de487942d78cf35b4ef18521aebf9377ceb10d64452ba2cc979853ef | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0000--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 117/11 | combined_work_rate-0000 | 11 | Worker A can finish a job alone in 18 hours and worker B can finish it alone in 22 hours. They work together for 9 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 78cad8c2de487942d78cf35b4ef18521aebf9377ceb10d64452ba2cc979853ef | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0017--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 3529/55 | weighted_mean-0017 | 3529/55 | Three classes contain 14, 20, and 21 students. Their mean test scores are 62, 69, and 61, respectively. What is the mean score across all students in the three classes? Give an exact value. | 7d13ebdf2eab2d140f07ef5a95384f334c9f741cfd205089367ae9ff1696249d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0017--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 3529/55 | weighted_mean-0017 | 64 | Three classes contain 14, 20, and 21 students. Their mean test scores are 62, 69, and 61, respectively. What is the mean score across all students in the three classes? Give an exact value. | 7d13ebdf2eab2d140f07ef5a95384f334c9f741cfd205089367ae9ff1696249d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0014--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 44 | equal_distance_average_speed-0014 | 44 | A vehicle travels 154 km from A to B at 66 km/h and returns the same 154 km at 33 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | a9b846df6c055fc5ddee85446e31287f1fe4939cb896d2b4f26fb30883e5b8ed | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0014--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 44 | equal_distance_average_speed-0014 | 99/2 | A vehicle travels 154 km from A to B at 66 km/h and returns the same 154 km at 33 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | a9b846df6c055fc5ddee85446e31287f1fe4939cb896d2b4f26fb30883e5b8ed | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0005--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 2740/41 | weighted_mean-0005 | 2740/41 | Three classes contain 22, 6, and 13 students. Their mean test scores are 75, 69, and 52, respectively. What is the mean score across all students in the three classes? Give an exact value. | fb9e19498544c4620e4281f6f39b737b30d3e9038dd47c4f11aa2d4a8c8bcd28 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0005--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 2740/41 | weighted_mean-0005 | 196/3 | Three classes contain 22, 6, and 13 students. Their mean test scores are 75, 69, and 52, respectively. What is the mean score across all students in the three classes? Give an exact value. | fb9e19498544c4620e4281f6f39b737b30d3e9038dd47c4f11aa2d4a8c8bcd28 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0021--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 44226/25 | successive_percent_change-0021 | 44226/25 | A quantity starts at 1400. It increases by 30%, then decreases by 10%, and finally increases by 8%. What is the final value? Give an exact value. | 0d1ebfccb59fe1f09a2e42e58d8f9b463a90fba4e09541dd67162cbc53344c42 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0021--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 44226/25 | successive_percent_change-0021 | 1792 | A quantity starts at 1400. It increases by 30%, then decreases by 10%, and finally increases by 8%. What is the final value? Give an exact value. | 0d1ebfccb59fe1f09a2e42e58d8f9b463a90fba4e09541dd67162cbc53344c42 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0002--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 280 | repeated_object_permutations-0002 | 280 | How many distinct strings can be formed by rearranging all letters of EEEEFFFA? | d04232c7660dc2e319565ac5d6309e942dfb19c6da2899fa870efcfa3e8d44c6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0002--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 280 | repeated_object_permutations-0002 | 40320 | How many distinct strings can be formed by rearranging all letters of EEEEFFFA? | d04232c7660dc2e319565ac5d6309e942dfb19c6da2899fa870efcfa3e8d44c6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0000--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 2341/40 | weighted_mean-0000 | 2341/40 | Three classes contain 16, 7, and 17 students. Their mean test scores are 52, 82, and 55, respectively. What is the mean score across all students in the three classes? Give an exact value. | 8a25ef3d5bc5fd9565d616f4b88473281358081ed8dc6dd5378193947bc45e76 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0000--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 2341/40 | weighted_mean-0000 | 63 | Three classes contain 16, 7, and 17 students. Their mean test scores are 52, 82, and 55, respectively. What is the mean score across all students in the three classes? Give an exact value. | 8a25ef3d5bc5fd9565d616f4b88473281358081ed8dc6dd5378193947bc45e76 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0009--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 6318 | area_scaling-0009 | 6318 | A rectangle initially has length 90 and width 65. Its length is increased by 20% while its width is decreased by 10%. What is the new area? Give an exact value. | 36ae33f413d9b852ca5821d2a3f4a692b45a6f1241dd54fbd339f5608b307618 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0009--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 6318 | area_scaling-0009 | 6435 | A rectangle initially has length 90 and width 65. Its length is increased by 20% while its width is decreased by 10%. What is the new area? Give an exact value. | 36ae33f413d9b852ca5821d2a3f4a692b45a6f1241dd54fbd339f5608b307618 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0012--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 6318 | area_scaling-0012 | 6318 | A rectangle initially has length 90 and width 60. Its length is increased by 30% while its width is decreased by 10%. What is the new area? Give an exact value. | ce568c0509b8e1b43a5c14a8ab4db805f6902069fabb728bbf347761e4cb2daf | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0012--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 6318 | area_scaling-0012 | 6480 | A rectangle initially has length 90 and width 60. Its length is increased by 30% while its width is decreased by 10%. What is the new area? Give an exact value. | ce568c0509b8e1b43a5c14a8ab4db805f6902069fabb728bbf347761e4cb2daf | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0015--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 91/190 | without_replacement_probability-0015 | 91/190 | An urn contains 14 red balls and 7 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 83906ec45a058cf87a885f2d1871d199259a37030073b398bcd7fc26bab3f984 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0015--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 91/190 | without_replacement_probability-0015 | 4/9 | An urn contains 14 red balls and 7 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 83906ec45a058cf87a885f2d1871d199259a37030073b398bcd7fc26bab3f984 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0002--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 10 | combined_work_rate-0002 | 10 | Worker A can finish a job alone in 15 hours and worker B can finish it alone in 6 hours. They work together for 2 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | b871470e5aaa24ec6f931ea0cbb8e980d1e6dcb759408ddf6547604a3594e099 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0002--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 10 | combined_work_rate-0002 | 26/5 | Worker A can finish a job alone in 15 hours and worker B can finish it alone in 6 hours. They work together for 2 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | b871470e5aaa24ec6f931ea0cbb8e980d1e6dcb759408ddf6547604a3594e099 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0020--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 36088 | recurrence_indexing-0020 | 36088 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k - 5 for k >= 0. What is a_8? | ce6e0882103bff3bb3b0e942bddda66bdbff823957777536dcfc3723525fbe12 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0020--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 36088 | recurrence_indexing-0020 | 12031 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k - 5 for k >= 0. What is a_8? | ce6e0882103bff3bb3b0e942bddda66bdbff823957777536dcfc3723525fbe12 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
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